Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_4k_test_seed1000

like 0

[ "V808225", "V366725", "V412125" ]

[ { "content": "<context>\nassign V051774 = V714932 - 1. assign V528966 = V369586 + 1. assign V830814 = V531992. assign V422646 = V853350 + 1. assign V517453 = V843362 - 1. assign V624283 = V933711 + 1. assign V903181 = V682445. assign V349952 = V835138. assign V630271 = V672593 - 1. assign V980153 = V673997 + 1. assign V607898 = V422214 - 1. assign V408782 = V933711. assign V742671 = V933711. assign V853350 = V582378. assign V568831 = V528966 - 1. assign V497156 = V048928 + 1. assign V929455 = V730850. assign V612775 = V498615 + 1. assign V466861 = V837554. assign V979413 = V116439 + 1. assign V010213 = V094568 + 1. assign V116688 = V566785. assign V675379 = V989174 - 1. assign V166662 = V414728 + 1. assign V905122 = V868596 + 1. assign V040761 = V763781 - 1. assign V243246 = V837554. assign V409513 = V790497 - 1. assign V993083 = V175127 - 1. assign V005919 = V146778. assign V864019 = V455562. assign V312454 = V282053 - 1. assign V222903 = V479735. assign V094568 = V462981 + 1. assign V861998 = V070045 - 1. assign V083883 = V782389. assign V706549 = V168214 + 1. assign V351640 = V455562 - 1. assign V934190 = V842673 + 1. assign V259093 = V830814. assign V654177 = V812599 + 1. assign V656787 = V593659. assign V172705 = V682445. assign V875423 = V690818 + 1. assign V422214 = V837554 - 1. assign V477025 = V767514 - 1. assign V902555 = V729787 - 1. assign V168214 = V219305. assign V128985 = V284591 - 1. assign V612998 = V585542. assign V478093 = V580768 - 1. assign V233922 = V929455 - 1. assign V454572 = V619052. assign V109083 = V469963 - 1. assign V035336 = V883368. assign V683154 = V549995 + 1. assign V168804 = V283948. assign V415593 = V422214 - 1. assign V142672 = V842673 + 1. assign V481850 = 5. assign V150628 = V837554 + 1. assign V469963 = V420069. assign V202195 = V187129 - 1. assign V119569 = V838882. assign V273125 = V429594. assign V811074 = V933711 + 1. assign V072831 = V393319 - 1. assign V420253 = V084047. assign V201998 = V048928 - 1. assign V648527 = V158855 - 1. assign V168953 = V422214. assign V472389 = V838882 + 1. assign V558787 = V683114 + 1. assign V879655 = V553836. assign V752671 = V222010 - 1. assign V812599 = V672593 + 1. assign V860934 = V915277. assign V335320 = V837554. assign V158855 = V027364 - 1. assign V132765 = V804213 - 1. assign V046077 = V199731 - 1. assign V315407 = V432769 - 1. assign V013135 = V549995 - 1. assign V324910 = V868596 - 1. assign V973571 = V749463 - 1. assign V393319 = V593659. assign V975543 = V654177. assign V462981 = V106244 - 1. assign V739784 = V808225 - 1. assign V549995 = V263820 - 1. assign V969089 = V549995 + 1. assign V203636 = V762558 + 1. assign V610988 = V388038 + 1. assign V214418 = V098922. assign V061047 = V837554 + 1. assign V175127 = V651347 - 1. assign V772497 = V791823 - 1. assign V680046 = V266558 - 1. assign V549053 = V081174 - 1. assign V991776 = V415593. assign V892860 = V422214 + 1. assign V798492 = V175127. assign V064952 = V127204 - 1. assign V989174 = V931032. assign V866586 = V005919 + 1. assign V050213 = V264799 - 1. assign V734878 = V289175. assign V027364 = V081174. assign V647640 = V040948 + 1. assign V838234 = V415593 + 1. assign V580768 = V678953 - 1. assign V745194 = V238708 - 1. assign V483507 = V595814 + 1. assign V189422 = V860934 - 1. assign V324435 = V807800 + 1. assign V763581 = V106244. assign V685438 = V576296. assign V843362 = V369586. assign V116439 = V837554 + 1. assign V839646 = V838234. assign V691781 = V720946 - 1. assign V447036 = V479735. assign V626919 = V222903. assign V084047 = V455562 + 1. assign V755086 = V091054 - 1. assign V284591 = V342630 - 1. assign V049388 = V233922 - 1. assign V360359 = V674687. assign V760066 = V084047. assign V193221 = V462981 - 1. assign V804213 = V857754 - 1. assign V720946 = V883368. assign V087806 = V415593 - 1. assign V199731 = V749463. assign V412642 = V158855 - 1. assign V951900 = V455562. assign V895663 = V915277 - 1. assign V197756 = V288516 - 1. assign V747853 = V624602. assign V898087 = V982210 - 1. assign V953466 = V154774. assign V669469 = V450889 - 1. assign V531746 = V898087 - 1. assign V668781 = V483507. assign V266558 = V199731. assign V944926 = V070045. assign V857754 = V048928 + 1. assign V002973 = V324910 + 1. assign V479735 = V752147. assign V014314 = V571566 + 1. assign V154774 = V933711. assign V507053 = V853350. assign V204877 = V048928 - 1. assign V729247 = V238708 + 1. assign V604505 = V929455 + 1. assign V752147 = V106244 + 1. assign V808225 = V481850 + 1. assign V655800 = V895663. assign V130121 = V233922. assign V359942 = V168214. assign V715520 = V630271. assign V124870 = V675379 + 1. assign V380631 = V785120 + 1. assign V412125 = V366725. assign V465913 = V981904. assign V708811 = V785120 - 1. assign V740485 = V222010 + 1. assign V842673 = V673997 + 1. assign V098922 = V980153. assign V868596 = V903181 - 1. assign V450889 = V838882 - 1. assign V355168 = V566785. assign V646055 = V324435 + 1. assign V003376 = V571566. assign V182964 = V934190 - 1. assign V099552 = V902555. assign V805325 = V233922 + 1. assign V053184 = V168804 + 1. assign V414728 = V929455 - 1. assign V835138 = V672593. assign V730850 = V742671 + 1. assign V284451 = V466861. assign V566785 = V429594. assign V480660 = V233922 + 1. assign V339780 = V905122 + 1. assign V934212 = V312454. assign V550799 = V638687. assign V152745 = V997948. assign V115311 = V582378. assign V624602 = V838234. assign V931032 = V263820. assign V933711 = V840023 - 1. assign V888534 = V528966 - 1. assign V024167 = V106244. assign V027404 = V782389. assign V308824 = V415593 + 1. assign V039580 = V023946. assign V455562 = V422214. assign V498615 = V432769. assign V230340 = V233922 - 1. assign V369586 = V571566 - 1. assign V711141 = V359942. assign V368520 = V289175 + 1. assign V883368 = V472389. assign V187129 = V861998. assign V768847 = V820064 - 1. assign V887094 = V892860 + 1. assign V458704 = V359942 - 1. assign V936225 = V154774 + 1. assign V147672 = V409513 + 1. assign V251445 = V284591 + 1. assign V723266 = V238708. assign V958164 = V450889 - 1. assign V619052 = V745194 - 1. assign V288516 = V790497 - 1. assign V276212 = V455562. assign V862619 = V682445 - 1. assign V314467 = V415593 - 1. assign V240863 = V853350. assign V106244 = V084047 - 1. assign V170435 = V737636. assign V282053 = V883368. assign V531992 = V933711 - 1. assign V040948 = V714932 + 1. assign V928955 = V747853 + 1. assign V438057 = V741236 - 1. assign V807800 = V429594. assign V399045 = V742671 + 1. assign V726670 = V674687 + 1. assign V207745 = V730850 + 1. assign V366725 = V481850 + 1. assign V607169 = V199731. assign V690818 = V853350 + 1. assign V882604 = V472389 + 1. assign V582378 = V607898 + 1. assign V837554 = V238708 - 1. assign V953633 = V081174 - 1. assign V146778 = V674687 + 1. assign V741236 = V084047. assign V749463 = V263820 + 1. assign V048928 = V335320 + 1. assign V762558 = V973571 - 1. assign V613786 = V335320 + 1. assign V948351 = V549053 + 1. assign V838882 = V084047 + 1. assign V538526 = V612998. assign V458678 = V951900. assign V898488 = V083883 + 1. assign V678953 = V483507 - 1. assign V369738 = V150628. assign V978281 = V897372. assign V055005 = V830814 - 1. assign V635920 = V429594. assign V576296 = V154774 - 1. assign V126881 = V359942 - 1. assign V218817 = V010213 - 1. assign V656745 = V730850. assign V388038 = V027364 + 1. assign V967118 = V887094. assign V400716 = V314467 + 1. assign V585542 = V454572. assign V981904 = V027364 - 1. assign V076726 = V729247 + 1. assign V496895 = V158855. assign V229791 = V934212 + 1. assign V264799 = V369586 - 1. assign V595814 = V981904 + 1. assign V219305 = V651347. assign V263421 = V420069 + 1. assign V682445 = V619052. assign V897372 = V933711 + 1. assign V580860 = V549053 - 1. assign V421550 = V613591 + 1. assign V049649 = V429594. assign V997948 = V366725 + 1. assign V714932 = V734878. assign V057237 = V752147 - 1. assign V432769 = V593659 - 1. assign V729787 = V857754. assign V593659 = V804213. assign V374576 = V857754 - 1. assign V070045 = V566785. assign V049433 = V975543. assign V342630 = V931032 - 1. assign V154338 = V613591. assign V737636 = V084047 - 1. assign V127204 = V369586 - 1. assign V648895 = V399045. assign V890001 = V497156 + 1. assign V882035 = V553836 - 1. assign V283948 = V150628 + 1. assign V248748 = V549053. assign V785120 = V116439 + 1. assign V081174 = V048928 + 1. assign V238708 = V571566 + 1. assign V319256 = V763781. assign V221075 = V023946. assign V894782 = V723059 - 1. assign V893875 = V791823 + 1. assign V226975 = V374576 + 1. assign V363860 = V438057 - 1. assign V793626 = V730850 + 1. assign V674687 = V566785 + 1. assign V840023 = V415593 + 1. assign V723059 = V507053 - 1. assign V213772 = V476282 + 1. assign V421250 = V432769. assign V663702 = V429594. assign V091054 = V048928. assign V767514 = V808225 - 1. assign V790497 = V083883. assign V651347 = V422214. assign V760659 = V752147 + 1. assign V165118 = V222010. assign V429594 = V837554 + 1. assign V673997 = V946175 - 1. assign V791823 = V672593. assign V782389 = V084047 + 1. assign V632041 = V840023 - 1. assign V222010 = V466861 - 1. assign V982210 = V483507 - 1. assign V260879 = V929455 - 1. assign V183236 = V808225 - 1. assign V091690 = V948351. assign V303935 = V790497 - 1. assign V531486 = V388038. assign V683114 = V465913 + 1. assign V698043 = V483507. assign V263820 = V238708 + 1. assign V476282 = V084047. assign V613591 = V266558. assign V915277 = V187129 + 1. assign V553836 = V083883 + 1. assign V763781 = V835138 - 1. assign V468349 = V857754. assign V946175 = V146778 - 1. assign V038646 = V868596 - 1. assign V499867 = V838882 + 1. assign V406491 = V251445 + 1. assign V152390 = V251445 + 1. assign V477825 = V284451 - 1. assign V023946 = V946175 + 1. assign V748623 = V094568 - 1. assign V420069 = V951900 - 1. assign V672593 = V369586 - 1. assign V770923 = V604505. assign V945479 = V663702. assign V131841 = V273125 - 1. assign V820064 = V647640 - 1. assign V638687 = V840023 - 1. assign V289175 = V468349 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V051774 = V714932 - 1. assign V528966 = V369586 + 1. assign V830814 = V531992. assign V422646 = V853350 + 1. assign V517453 = V843362 - 1. assign V624283 = V933711 + 1. assign V903181 = V682445. assign V349952 = V835138. assign V630271 = V672593 - 1. assign V980153 = V673997 + 1. assign V607898 = V422214 - 1. assign V408782 = V933711. assign V742671 = V933711. assign V853350 = V582378. assign V568831 = V528966 - 1. assign V497156 = V048928 + 1. assign V929455 = V730850. assign V612775 = V498615 + 1. assign V466861 = V837554. assign V979413 = V116439 + 1. assign V010213 = V094568 + 1. assign V116688 = V566785. assign V675379 = V989174 - 1. assign V166662 = V414728 + 1. assign V905122 = V868596 + 1. assign V040761 = V763781 - 1. assign V243246 = V837554. assign V409513 = V790497 - 1. assign V993083 = V175127 - 1. assign V005919 = V146778. assign V864019 = V455562. assign V312454 = V282053 - 1. assign V222903 = V479735. assign V094568 = V462981 + 1. assign V861998 = V070045 - 1. assign V083883 = V782389. assign V706549 = V168214 + 1. assign V351640 = V455562 - 1. assign V934190 = V842673 + 1. assign V259093 = V830814. assign V654177 = V812599 + 1. assign V656787 = V593659. assign V172705 = V682445. assign V875423 = V690818 + 1. assign V422214 = V837554 - 1. assign V477025 = V767514 - 1. assign V902555 = V729787 - 1. assign V168214 = V219305. assign V128985 = V284591 - 1. assign V612998 = V585542. assign V478093 = V580768 - 1. assign V233922 = V929455 - 1. assign V454572 = V619052. assign V109083 = V469963 - 1. assign V035336 = V883368. assign V683154 = V549995 + 1. assign V168804 = V283948. assign V415593 = V422214 - 1. assign V142672 = V842673 + 1. assign V481850 = 5. assign V150628 = V837554 + 1. assign V469963 = V420069. assign V202195 = V187129 - 1. assign V119569 = V838882. assign V273125 = V429594. assign V811074 = V933711 + 1. assign V072831 = V393319 - 1. assign V420253 = V084047. assign V201998 = V048928 - 1. assign V648527 = V158855 - 1. assign V168953 = V422214. assign V472389 = V838882 + 1. assign V558787 = V683114 + 1. assign V879655 = V553836. assign V752671 = V222010 - 1. assign V812599 = V672593 + 1. assign V860934 = V915277. assign V335320 = V837554. assign V158855 = V027364 - 1. assign V132765 = V804213 - 1. assign V046077 = V199731 - 1. assign V315407 = V432769 - 1. assign V013135 = V549995 - 1. assign V324910 = V868596 - 1. assign V973571 = V749463 - 1. assign V393319 = V593659. assign V975543 = V654177. assign V462981 = V106244 - 1. assign V739784 = V808225 - 1. assign V549995 = V263820 - 1. assign V969089 = V549995 + 1. assign V203636 = V762558 + 1. assign V610988 = V388038 + 1. assign V214418 = V098922. assign V061047 = V837554 + 1. assign V175127 = V651347 - 1. assign V772497 = V791823 - 1. assign V680046 = V266558 - 1. assign V549053 = V081174 - 1. assign V991776 = V415593. assign V892860 = V422214 + 1. assign V798492 = V175127. assign V064952 = V127204 - 1. assign V989174 = V931032. assign V866586 = V005919 + 1. assign V050213 = V264799 - 1. assign V734878 = V289175. assign V027364 = V081174. assign V647640 = V040948 + 1. assign V838234 = V415593 + 1. assign V580768 = V678953 - 1. assign V745194 = V238708 - 1. assign V483507 = V595814 + 1. assign V189422 = V860934 - 1. assign V324435 = V807800 + 1. assign V763581 = V106244. assign V685438 = V576296. assign V843362 = V369586. assign V116439 = V837554 + 1. assign V839646 = V838234. assign V691781 = V720946 - 1. assign V447036 = V479735. assign V626919 = V222903. assign V084047 = V455562 + 1. assign V755086 = V091054 - 1. assign V284591 = V342630 - 1. assign V049388 = V233922 - 1. assign V360359 = V674687. assign V760066 = V084047. assign V193221 = V462981 - 1. assign V804213 = V857754 - 1. assign V720946 = V883368. assign V087806 = V415593 - 1. assign V199731 = V749463. assign V412642 = V158855 - 1. assign V951900 = V455562. assign V895663 = V915277 - 1. assign V197756 = V288516 - 1. assign V747853 = V624602. assign V898087 = V982210 - 1. assign V953466 = V154774. assign V669469 = V450889 - 1. assign V531746 = V898087 - 1. assign V668781 = V483507. assign V266558 = V199731. assign V944926 = V070045. assign V857754 = V048928 + 1. assign V002973 = V324910 + 1. assign V479735 = V752147. assign V014314 = V571566 + 1. assign V154774 = V933711. assign V507053 = V853350. assign V204877 = V048928 - 1. assign V729247 = V238708 + 1. assign V604505 = V929455 + 1. assign V752147 = V106244 + 1. assign V808225 = V481850 + 1. assign V655800 = V895663. assign V130121 = V233922. assign V359942 = V168214. assign V715520 = V630271. assign V124870 = V675379 + 1. assign V380631 = V785120 + 1. assign V412125 = V366725. assign V465913 = V981904. assign V708811 = V785120 - 1. assign V740485 = V222010 + 1. assign V842673 = V673997 + 1. assign V098922 = V980153. assign V868596 = V903181 - 1. assign V450889 = V838882 - 1. assign V355168 = V566785. assign V646055 = V324435 + 1. assign V003376 = V571566. assign V182964 = V934190 - 1. assign V099552 = V902555. assign V805325 = V233922 + 1. assign V053184 = V168804 + 1. assign V414728 = V929455 - 1. assign V835138 = V672593. assign V730850 = V742671 + 1. assign V284451 = V466861. assign V566785 = V429594. assign V480660 = V233922 + 1. assign V339780 = V905122 + 1. assign V934212 = V312454. assign V550799 = V638687. assign V152745 = V997948. assign V115311 = V582378. assign V624602 = V838234. assign V931032 = V263820. assign V933711 = V840023 - 1. assign V888534 = V528966 - 1. assign V024167 = V106244. assign V027404 = V782389. assign V308824 = V415593 + 1. assign V039580 = V023946. assign V455562 = V422214. assign V498615 = V432769. assign V230340 = V233922 - 1. assign V369586 = V571566 - 1. assign V711141 = V359942. assign V368520 = V289175 + 1. assign V883368 = V472389. assign V187129 = V861998. assign V768847 = V820064 - 1. assign V887094 = V892860 + 1. assign V458704 = V359942 - 1. assign V936225 = V154774 + 1. assign V147672 = V409513 + 1. assign V251445 = V284591 + 1. assign V723266 = V238708. assign V958164 = V450889 - 1. assign V619052 = V745194 - 1. assign V288516 = V790497 - 1. assign V276212 = V455562. assign V862619 = V682445 - 1. assign V314467 = V415593 - 1. assign V240863 = V853350. assign V106244 = V084047 - 1. assign V170435 = V737636. assign V282053 = V883368. assign V531992 = V933711 - 1. assign V040948 = V714932 + 1. assign V928955 = V747853 + 1. assign V438057 = V741236 - 1. assign V807800 = V429594. assign V399045 = V742671 + 1. assign V726670 = V674687 + 1. assign V207745 = V730850 + 1. assign V366725 = V481850 + 1. assign V607169 = V199731. assign V690818 = V853350 + 1. assign V882604 = V472389 + 1. assign V582378 = V607898 + 1. assign V837554 = V238708 - 1. assign V953633 = V081174 - 1. assign V146778 = V674687 + 1. assign V741236 = V084047. assign V749463 = V263820 + 1. assign V048928 = V335320 + 1. assign V762558 = V973571 - 1. assign V613786 = V335320 + 1. assign V948351 = V549053 + 1. assign V838882 = V084047 + 1. assign V538526 = V612998. assign V458678 = V951900. assign V898488 = V083883 + 1. assign V678953 = V483507 - 1. assign V369738 = V150628. assign V978281 = V897372. assign V055005 = V830814 - 1. assign V635920 = V429594. assign V576296 = V154774 - 1. assign V126881 = V359942 - 1. assign V218817 = V010213 - 1. assign V656745 = V730850. assign V388038 = V027364 + 1. assign V967118 = V887094. assign V400716 = V314467 + 1. assign V585542 = V454572. assign V981904 = V027364 - 1. assign V076726 = V729247 + 1. assign V496895 = V158855. assign V229791 = V934212 + 1. assign V264799 = V369586 - 1. assign V595814 = V981904 + 1. assign V219305 = V651347. assign V263421 = V420069 + 1. assign V682445 = V619052. assign V897372 = V933711 + 1. assign V580860 = V549053 - 1. assign V421550 = V613591 + 1. assign V049649 = V429594. assign V997948 = V366725 + 1. assign V714932 = V734878. assign V057237 = V752147 - 1. assign V432769 = V593659 - 1. assign V729787 = V857754. assign V593659 = V804213. assign V374576 = V857754 - 1. assign V070045 = V566785. assign V049433 = V975543. assign V342630 = V931032 - 1. assign V154338 = V613591. assign V737636 = V084047 - 1. assign V127204 = V369586 - 1. assign V648895 = V399045. assign V890001 = V497156 + 1. assign V882035 = V553836 - 1. assign V283948 = V150628 + 1. assign V248748 = V549053. assign V785120 = V116439 + 1. assign V081174 = V048928 + 1. assign V238708 = V571566 + 1. assign V319256 = V763781. assign V221075 = V023946. assign V894782 = V723059 - 1. assign V893875 = V791823 + 1. assign V226975 = V374576 + 1. assign V363860 = V438057 - 1. assign V793626 = V730850 + 1. assign V674687 = V566785 + 1. assign V840023 = V415593 + 1. assign V723059 = V507053 - 1. assign V213772 = V476282 + 1. assign V421250 = V432769. assign V663702 = V429594. assign V091054 = V048928. assign V767514 = V808225 - 1. assign V790497 = V083883. assign V651347 = V422214. assign V760659 = V752147 + 1. assign V165118 = V222010. assign V429594 = V837554 + 1. assign V673997 = V946175 - 1. assign V791823 = V672593. assign V782389 = V084047 + 1. assign V632041 = V840023 - 1. assign V222010 = V466861 - 1. assign V982210 = V483507 - 1. assign V260879 = V929455 - 1. assign V183236 = V808225 - 1. assign V091690 = V948351. assign V303935 = V790497 - 1. assign V531486 = V388038. assign V683114 = V465913 + 1. assign V698043 = V483507. assign V263820 = V238708 + 1. assign V476282 = V084047. assign V613591 = V266558. assign V915277 = V187129 + 1. assign V553836 = V083883 + 1. assign V763781 = V835138 - 1. assign V468349 = V857754. assign V946175 = V146778 - 1. assign V038646 = V868596 - 1. assign V499867 = V838882 + 1. assign V406491 = V251445 + 1. assign V152390 = V251445 + 1. assign V477825 = V284451 - 1. assign V023946 = V946175 + 1. assign V748623 = V094568 - 1. assign V420069 = V951900 - 1. assign V672593 = V369586 - 1. assign V770923 = V604505. assign V945479 = V663702. assign V131841 = V273125 - 1. assign V820064 = V647640 - 1. assign V638687 = V840023 - 1. assign V289175 = V468349 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV481850 = 5;\n\nFrom these direct assignment(s), we have: \nV366725 = V481850 + 1 = 5 + 1 =6;\nV997948 = V366725 + 1 = 6 + 1 =7;\nV152745 = V997948 = 7;\nNo other varaibles can be derived from V152745;\nNo other varaibles can be derived from V997948;\nV412125 = V366725 = 6;\nNo other varaibles can be derived from V412125;\nNo other varaibles can be derived from V366725;\nV808225 = V481850 + 1 = 5 + 1 =6;\nV183236 = V808225 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V183236;\nV767514 = V808225 - 1 = 6 - 1 =5;\nV477025 = V767514 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V477025;\nNo other varaibles can be derived from V767514;\nV739784 = V808225 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V739784;\nNo other varaibles can be derived from V808225;\nNo other varaibles can be derived from V481850;\n\nNow we have done all the calculations. Derived variables are:\nV481850 = 5;\nV366725 = 6;\nV997948 = 7;\nV152745 = 7;\nV412125 = 6;\nV808225 = 6;\nV183236 = 5;\nV767514 = 5;\nV477025 = 4;\nV739784 = 5;\n\nNow we have finished this problem. ANSWER:\nV366725, V412125, V808225\n", "role": "assistant" } ]

[ "V719709", "V528332", "V618627" ]

[ { "content": "<context>\nassign V535047 = V192597 - 1. assign V963312 = V308211. assign V480168 = V130865. assign V335001 = V930502. assign V804753 = V509317 - 1. assign V054019 = V719478 + 1. assign V541951 = V305615. assign V433301 = V757945 + 1. assign V909880 = V833634 + 1. assign V036640 = V697864 + 1. assign V150224 = V713386 - 1. assign V866220 = V317107 - 1. assign V288444 = V767359 - 1. assign V977483 = V368226 + 1. assign V170274 = V570221 - 1. assign V992467 = V438365. assign V975795 = V721164. assign V622156 = V995668. assign V587683 = V305615 - 1. assign V684777 = V939681. assign V481881 = V673555. assign V873413 = V012415 + 1. assign V915971 = V183331. assign V351428 = V697592 - 1. assign V867961 = V133801 - 1. assign V002450 = V535159 - 1. assign V745295 = V647625 + 1. assign V427525 = V881441. assign V414262 = V930502 - 1. assign V916372 = V489507 - 1. assign V787179 = V602899. assign V992046 = V303903. assign V924203 = V183331 - 1. assign V125646 = V724520 - 1. assign V299205 = V669111 + 1. assign V123039 = V335885 + 1. assign V517352 = V433301 + 1. assign V672296 = V545808 + 1. assign V647625 = V265431 + 1. assign V612306 = V133801 - 1. assign V317107 = V672060. assign V265431 = V835742. assign V698883 = V949710 - 1. assign V558899 = V305615. assign V791596 = V551630 - 1. assign V901777 = V088522. assign V098369 = V930502 - 1. assign V074923 = V801507 + 1. assign V605340 = V333016. assign V998514 = V168739. assign V120416 = V675406 - 1. assign V568447 = V328174. assign V042292 = V087420. assign V782475 = V257938. assign V060911 = V719612 + 1. assign V883152 = V895330 - 1. assign V701020 = V977483 - 1. assign V673555 = V210276 + 1. assign V601756 = V438365 + 1. assign V128817 = 2. assign V814203 = V522185 - 1. assign V174009 = V858815. assign V088274 = V012415. assign V203335 = V340391 - 1. assign V499829 = V012415 - 1. assign V104097 = V128817 - 1. assign V452675 = V699956 + 1. assign V438365 = V317107. assign V523321 = V920202 + 1. assign V807034 = V825937. assign V929342 = V389109. assign V995668 = V127554 + 1. assign V855788 = V133801. assign V881105 = V088274. assign V257938 = V897636. assign V804299 = V265431. assign V640618 = V110047 - 1. assign V542226 = V305615. assign V640449 = V687479 - 1. assign V713386 = V698427 + 1. assign V825937 = V572246 - 1. assign V672060 = V222726. assign V880169 = V227636 - 1. assign V277440 = V698427. assign V959103 = V545808. assign V368226 = V572246 - 1. assign V052102 = V995668 - 1. assign V522185 = V307347. assign V806371 = V640618. assign V501245 = V724702. assign V303903 = V929342 + 1. assign V059324 = V452992. assign V090671 = V083307 - 1. assign V251068 = V979551 + 1. assign V098248 = V929342 + 1. assign V669265 = V835742 + 1. assign V192597 = V012415 - 1. assign V188988 = V709818 + 1. assign V719478 = V687479 + 1. assign V149265 = V697592. assign V495163 = V947568 - 1. assign V972005 = V999343. assign V109715 = V486163 - 1. assign V222726 = V469722 - 1. assign V709818 = V282522 + 1. assign V697864 = V142817. assign V984481 = V389109 + 1. assign V882605 = V308211 + 1. assign V197123 = V883152. assign V679897 = V979551 - 1. assign V371103 = V930502. assign V695607 = V469722 - 1. assign V942144 = V356279 + 1. assign V881441 = V098248 + 1. assign V058352 = V059324 + 1. assign V113117 = V255052. assign V480028 = V777885. assign V307347 = V930502 + 1. assign V897046 = V452675 - 1. assign V331789 = V535159 - 1. assign V895330 = V012415 + 1. assign V570221 = V489507. assign V758968 = V719478 - 1. assign V070421 = V558899. assign V328174 = V110047. assign V046994 = V584091. assign V545808 = V895330. assign V014626 = V110047 + 1. assign V954860 = V873413 + 1. assign V083307 = V895330 - 1. assign V489507 = V438365. assign V304455 = V098418 + 1. assign V233452 = V019919 + 1. assign V757378 = V427006 + 1. assign V098418 = V433301. assign V143798 = V895330 + 1. assign V697592 = V517352 - 1. assign V127554 = V128817. assign V223066 = V825937 - 1. assign V799401 = V197123. assign V203209 = V284485 + 1. assign V397873 = V782379 + 1. assign V574582 = V890953 + 1. assign V747844 = V436036. assign V516260 = V881441 + 1. assign V327530 = V827070 + 1. assign V227636 = V110047 + 1. assign V315623 = V317107. assign V699956 = V782379. assign V161976 = V897636 + 1. assign V510352 = V407994 + 1. assign V282522 = V757945 - 1. assign V268477 = V807034 - 1. assign V421715 = V535159 + 1. assign V463141 = V858815. assign V100291 = V728128. assign V436036 = V556787 + 1. assign V370515 = V197123. assign V721164 = V709818. assign V174971 = V724520 + 1. assign V987870 = V215031 - 1. assign V476575 = V741278. assign V031861 = V541951 + 1. assign V563560 = V835742 - 1. assign V103551 = V947568 + 1. assign V006493 = V587683 + 1. assign V574516 = V489507. assign V858531 = V807034. assign V415904 = V719612. assign V130865 = V385961 - 1. assign V500496 = V724520 - 1. assign V949710 = V782379. assign V237946 = V277440. assign V711028 = V307347. assign V930502 = V282522 + 1. assign V897636 = V897046 + 1. assign V949087 = V647625. assign V368888 = V019919 + 1. assign V349661 = V385961 + 1. assign V375145 = V699956 + 1. assign V931393 = V188988. assign V219494 = V227636. assign V403331 = V088522. assign V979551 = V930502 - 1. assign V528332 = V202518 + 1. assign V774676 = V873413 - 1. assign V890664 = V335885 + 1. assign V608523 = V110047. assign V645997 = V977483 - 1. assign V469722 = V499829. assign V638022 = V673555. assign V165152 = V535159 + 1. assign V312948 = V486163 - 1. assign V297694 = V308211 + 1. assign V734451 = V551630 - 1. assign V340391 = V090671. assign V173782 = V910746 + 1. assign V801507 = V282522. assign V836973 = V673555 + 1. assign V140050 = V480649 - 1. assign V284485 = V646222 + 1. assign V767359 = V984481. assign V088668 = V536079. assign V142817 = V930502 - 1. assign V724520 = V930502 - 1. assign V719612 = V897636 - 1. assign V403830 = V897046 - 1. assign V615808 = V307347 - 1. assign V827886 = V149631 - 1. assign V579692 = V978139 + 1. assign V656212 = V649617 + 1. assign V065743 = V019919 - 1. assign V939771 = V825937. assign V305615 = V019919 - 1. assign V356279 = V012415 - 1. assign V196688 = V165152 - 1. assign V000373 = V070421 - 1. assign V677542 = V584091. assign V460977 = V895330 - 1. assign V029621 = V674809 + 1. assign V055520 = V883152. assign V584091 = V012415 - 1. assign V385169 = V883152 - 1. assign V648219 = V562941. assign V452992 = V499829 - 1. assign V858815 = V284485 + 1. assign V910746 = V687479 - 1. assign V698427 = V133801 + 1. assign V189003 = V713386. assign V630743 = V100291 + 1. assign V424536 = V203209 - 1. assign V486163 = V304455 + 1. assign V799838 = V277440 - 1. assign V535159 = V572246. assign V528460 = V000373. assign V782379 = V499829. assign V210276 = V929342. assign V215031 = V548359 - 1. assign V920202 = V356279 - 1. assign V315746 = V536079 + 1. assign V355933 = V699956 - 1. assign V928077 = V697864 - 1. assign V343079 = V335001 + 1. assign V618627 = V719709. assign V740678 = V587683 - 1. assign V531820 = V452675. assign V333016 = V452992. assign V719709 = V202518 + 1. assign V389109 = V012415 + 1. assign V670855 = V161976 + 1. assign V669111 = V110047 + 1. assign V913418 = V930502 + 1. assign V110047 = V335885 - 1. assign V054825 = V407994 - 1. assign V509143 = V282522 + 1. assign V183331 = V368226 - 1. assign V593102 = V500496 - 1. assign V890953 = V788937. assign V019919 = V333016 + 1. assign V548359 = V791596 + 1. assign V356246 = V370515 - 1. assign V823792 = V572246 + 1. assign V682217 = V469722. assign V687479 = V019919 + 1. assign V653110 = V203209 + 1. assign V320209 = V133801 + 1. assign V255052 = V054825 - 1. assign V409670 = V626392 + 1. assign V054872 = V327530. assign V089873 = V664866. assign V142670 = V536079 - 1. assign V407994 = V019919 + 1. assign V472819 = V174971. assign V741278 = V608523 + 1. assign V947568 = V480168 + 1. assign V675406 = V626392 + 1. assign V051397 = V618563. assign V427006 = V556787. assign V664866 = V523321 + 1. assign V318948 = V140050 + 1. assign V833634 = V979551 - 1. assign V757945 = V499829 - 1. assign V626392 = V385961 + 1. assign V572246 = V499829 - 1. assign V777885 = V385961. assign V832458 = V709818. assign V151626 = V335885 - 1. assign V149631 = V929342 + 1. assign V255836 = V142817 - 1. assign V939681 = V825937. assign V482858 = V777885 - 1. assign V800775 = V433301. assign V821996 = V000373. assign V783717 = V142817 - 1. assign V093764 = V924203 - 1. assign V326829 = V800775. assign V323007 = V130865. assign V273372 = V724520 + 1. assign V016051 = V673555 - 1. assign V840796 = V646222 - 1. assign V397662 = V832458. assign V890175 = V427006 - 1. assign V835742 = V517352 + 1. assign V788937 = V531820 + 1. assign V551630 = V572246. assign V562941 = V307347 + 1. assign V729207 = V070602. assign V398497 = V587683 - 1. assign V202518 = V995668 + 1. assign V385961 = V757945 + 1. assign V509317 = V664866. assign V308211 = V452675 + 1. assign V335885 = V019919 + 1. assign V480649 = V142817 - 1. assign V133801 = V517352 - 1. assign V602899 = V288444 - 1. assign V724702 = V528460 + 1. assign V772624 = V541951 + 1. assign V819635 = V320209 - 1. assign V982313 = V433301 - 1. assign V088522 = V698427 - 1. assign V999343 = V672060 + 1. assign V179409 = V719612 + 1. assign V045433 = V277440 + 1. assign V034685 = V548359. assign V019307 = V371103. assign V978139 = V915971 - 1. assign V618563 = V130865. assign V290718 = V288444 - 1. assign V536079 = V699956 - 1. assign V286851 = V133801 + 1. assign V827070 = V698427. assign V945928 = V823792 + 1. assign V646222 = V713386 - 1. assign V168739 = V433301 - 1. assign V862672 = V436036 + 1. assign V728128 = V452675. assign V674809 = V307347 - 1. assign V035391 = V070602 + 1. assign V403957 = V142817. assign V649617 = V858815 + 1. assign V298036 = V315746 - 1. assign V070602 = V895330. assign V141831 = V298036. assign V651460 = V019307 + 1. assign V660643 = V855788 + 1. assign V556787 = V307347. assign V182942 = V787179. assign V864411 = V142817 - 1. assign V087420 = V317107 - 1. assign V288032 = V840796 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V535047 = V192597 - 1. assign V963312 = V308211. assign V480168 = V130865. assign V335001 = V930502. assign V804753 = V509317 - 1. assign V054019 = V719478 + 1. assign V541951 = V305615. assign V433301 = V757945 + 1. assign V909880 = V833634 + 1. assign V036640 = V697864 + 1. assign V150224 = V713386 - 1. assign V866220 = V317107 - 1. assign V288444 = V767359 - 1. assign V977483 = V368226 + 1. assign V170274 = V570221 - 1. assign V992467 = V438365. assign V975795 = V721164. assign V622156 = V995668. assign V587683 = V305615 - 1. assign V684777 = V939681. assign V481881 = V673555. assign V873413 = V012415 + 1. assign V915971 = V183331. assign V351428 = V697592 - 1. assign V867961 = V133801 - 1. assign V002450 = V535159 - 1. assign V745295 = V647625 + 1. assign V427525 = V881441. assign V414262 = V930502 - 1. assign V916372 = V489507 - 1. assign V787179 = V602899. assign V992046 = V303903. assign V924203 = V183331 - 1. assign V125646 = V724520 - 1. assign V299205 = V669111 + 1. assign V123039 = V335885 + 1. assign V517352 = V433301 + 1. assign V672296 = V545808 + 1. assign V647625 = V265431 + 1. assign V612306 = V133801 - 1. assign V317107 = V672060. assign V265431 = V835742. assign V698883 = V949710 - 1. assign V558899 = V305615. assign V791596 = V551630 - 1. assign V901777 = V088522. assign V098369 = V930502 - 1. assign V074923 = V801507 + 1. assign V605340 = V333016. assign V998514 = V168739. assign V120416 = V675406 - 1. assign V568447 = V328174. assign V042292 = V087420. assign V782475 = V257938. assign V060911 = V719612 + 1. assign V883152 = V895330 - 1. assign V701020 = V977483 - 1. assign V673555 = V210276 + 1. assign V601756 = V438365 + 1. assign V128817 = 2. assign V814203 = V522185 - 1. assign V174009 = V858815. assign V088274 = V012415. assign V203335 = V340391 - 1. assign V499829 = V012415 - 1. assign V104097 = V128817 - 1. assign V452675 = V699956 + 1. assign V438365 = V317107. assign V523321 = V920202 + 1. assign V807034 = V825937. assign V929342 = V389109. assign V995668 = V127554 + 1. assign V855788 = V133801. assign V881105 = V088274. assign V257938 = V897636. assign V804299 = V265431. assign V640618 = V110047 - 1. assign V542226 = V305615. assign V640449 = V687479 - 1. assign V713386 = V698427 + 1. assign V825937 = V572246 - 1. assign V672060 = V222726. assign V880169 = V227636 - 1. assign V277440 = V698427. assign V959103 = V545808. assign V368226 = V572246 - 1. assign V052102 = V995668 - 1. assign V522185 = V307347. assign V806371 = V640618. assign V501245 = V724702. assign V303903 = V929342 + 1. assign V059324 = V452992. assign V090671 = V083307 - 1. assign V251068 = V979551 + 1. assign V098248 = V929342 + 1. assign V669265 = V835742 + 1. assign V192597 = V012415 - 1. assign V188988 = V709818 + 1. assign V719478 = V687479 + 1. assign V149265 = V697592. assign V495163 = V947568 - 1. assign V972005 = V999343. assign V109715 = V486163 - 1. assign V222726 = V469722 - 1. assign V709818 = V282522 + 1. assign V697864 = V142817. assign V984481 = V389109 + 1. assign V882605 = V308211 + 1. assign V197123 = V883152. assign V679897 = V979551 - 1. assign V371103 = V930502. assign V695607 = V469722 - 1. assign V942144 = V356279 + 1. assign V881441 = V098248 + 1. assign V058352 = V059324 + 1. assign V113117 = V255052. assign V480028 = V777885. assign V307347 = V930502 + 1. assign V897046 = V452675 - 1. assign V331789 = V535159 - 1. assign V895330 = V012415 + 1. assign V570221 = V489507. assign V758968 = V719478 - 1. assign V070421 = V558899. assign V328174 = V110047. assign V046994 = V584091. assign V545808 = V895330. assign V014626 = V110047 + 1. assign V954860 = V873413 + 1. assign V083307 = V895330 - 1. assign V489507 = V438365. assign V304455 = V098418 + 1. assign V233452 = V019919 + 1. assign V757378 = V427006 + 1. assign V098418 = V433301. assign V143798 = V895330 + 1. assign V697592 = V517352 - 1. assign V127554 = V128817. assign V223066 = V825937 - 1. assign V799401 = V197123. assign V203209 = V284485 + 1. assign V397873 = V782379 + 1. assign V574582 = V890953 + 1. assign V747844 = V436036. assign V516260 = V881441 + 1. assign V327530 = V827070 + 1. assign V227636 = V110047 + 1. assign V315623 = V317107. assign V699956 = V782379. assign V161976 = V897636 + 1. assign V510352 = V407994 + 1. assign V282522 = V757945 - 1. assign V268477 = V807034 - 1. assign V421715 = V535159 + 1. assign V463141 = V858815. assign V100291 = V728128. assign V436036 = V556787 + 1. assign V370515 = V197123. assign V721164 = V709818. assign V174971 = V724520 + 1. assign V987870 = V215031 - 1. assign V476575 = V741278. assign V031861 = V541951 + 1. assign V563560 = V835742 - 1. assign V103551 = V947568 + 1. assign V006493 = V587683 + 1. assign V574516 = V489507. assign V858531 = V807034. assign V415904 = V719612. assign V130865 = V385961 - 1. assign V500496 = V724520 - 1. assign V949710 = V782379. assign V237946 = V277440. assign V711028 = V307347. assign V930502 = V282522 + 1. assign V897636 = V897046 + 1. assign V949087 = V647625. assign V368888 = V019919 + 1. assign V349661 = V385961 + 1. assign V375145 = V699956 + 1. assign V931393 = V188988. assign V219494 = V227636. assign V403331 = V088522. assign V979551 = V930502 - 1. assign V528332 = V202518 + 1. assign V774676 = V873413 - 1. assign V890664 = V335885 + 1. assign V608523 = V110047. assign V645997 = V977483 - 1. assign V469722 = V499829. assign V638022 = V673555. assign V165152 = V535159 + 1. assign V312948 = V486163 - 1. assign V297694 = V308211 + 1. assign V734451 = V551630 - 1. assign V340391 = V090671. assign V173782 = V910746 + 1. assign V801507 = V282522. assign V836973 = V673555 + 1. assign V140050 = V480649 - 1. assign V284485 = V646222 + 1. assign V767359 = V984481. assign V088668 = V536079. assign V142817 = V930502 - 1. assign V724520 = V930502 - 1. assign V719612 = V897636 - 1. assign V403830 = V897046 - 1. assign V615808 = V307347 - 1. assign V827886 = V149631 - 1. assign V579692 = V978139 + 1. assign V656212 = V649617 + 1. assign V065743 = V019919 - 1. assign V939771 = V825937. assign V305615 = V019919 - 1. assign V356279 = V012415 - 1. assign V196688 = V165152 - 1. assign V000373 = V070421 - 1. assign V677542 = V584091. assign V460977 = V895330 - 1. assign V029621 = V674809 + 1. assign V055520 = V883152. assign V584091 = V012415 - 1. assign V385169 = V883152 - 1. assign V648219 = V562941. assign V452992 = V499829 - 1. assign V858815 = V284485 + 1. assign V910746 = V687479 - 1. assign V698427 = V133801 + 1. assign V189003 = V713386. assign V630743 = V100291 + 1. assign V424536 = V203209 - 1. assign V486163 = V304455 + 1. assign V799838 = V277440 - 1. assign V535159 = V572246. assign V528460 = V000373. assign V782379 = V499829. assign V210276 = V929342. assign V215031 = V548359 - 1. assign V920202 = V356279 - 1. assign V315746 = V536079 + 1. assign V355933 = V699956 - 1. assign V928077 = V697864 - 1. assign V343079 = V335001 + 1. assign V618627 = V719709. assign V740678 = V587683 - 1. assign V531820 = V452675. assign V333016 = V452992. assign V719709 = V202518 + 1. assign V389109 = V012415 + 1. assign V670855 = V161976 + 1. assign V669111 = V110047 + 1. assign V913418 = V930502 + 1. assign V110047 = V335885 - 1. assign V054825 = V407994 - 1. assign V509143 = V282522 + 1. assign V183331 = V368226 - 1. assign V593102 = V500496 - 1. assign V890953 = V788937. assign V019919 = V333016 + 1. assign V548359 = V791596 + 1. assign V356246 = V370515 - 1. assign V823792 = V572246 + 1. assign V682217 = V469722. assign V687479 = V019919 + 1. assign V653110 = V203209 + 1. assign V320209 = V133801 + 1. assign V255052 = V054825 - 1. assign V409670 = V626392 + 1. assign V054872 = V327530. assign V089873 = V664866. assign V142670 = V536079 - 1. assign V407994 = V019919 + 1. assign V472819 = V174971. assign V741278 = V608523 + 1. assign V947568 = V480168 + 1. assign V675406 = V626392 + 1. assign V051397 = V618563. assign V427006 = V556787. assign V664866 = V523321 + 1. assign V318948 = V140050 + 1. assign V833634 = V979551 - 1. assign V757945 = V499829 - 1. assign V626392 = V385961 + 1. assign V572246 = V499829 - 1. assign V777885 = V385961. assign V832458 = V709818. assign V151626 = V335885 - 1. assign V149631 = V929342 + 1. assign V255836 = V142817 - 1. assign V939681 = V825937. assign V482858 = V777885 - 1. assign V800775 = V433301. assign V821996 = V000373. assign V783717 = V142817 - 1. assign V093764 = V924203 - 1. assign V326829 = V800775. assign V323007 = V130865. assign V273372 = V724520 + 1. assign V016051 = V673555 - 1. assign V840796 = V646222 - 1. assign V397662 = V832458. assign V890175 = V427006 - 1. assign V835742 = V517352 + 1. assign V788937 = V531820 + 1. assign V551630 = V572246. assign V562941 = V307347 + 1. assign V729207 = V070602. assign V398497 = V587683 - 1. assign V202518 = V995668 + 1. assign V385961 = V757945 + 1. assign V509317 = V664866. assign V308211 = V452675 + 1. assign V335885 = V019919 + 1. assign V480649 = V142817 - 1. assign V133801 = V517352 - 1. assign V602899 = V288444 - 1. assign V724702 = V528460 + 1. assign V772624 = V541951 + 1. assign V819635 = V320209 - 1. assign V982313 = V433301 - 1. assign V088522 = V698427 - 1. assign V999343 = V672060 + 1. assign V179409 = V719612 + 1. assign V045433 = V277440 + 1. assign V034685 = V548359. assign V019307 = V371103. assign V978139 = V915971 - 1. assign V618563 = V130865. assign V290718 = V288444 - 1. assign V536079 = V699956 - 1. assign V286851 = V133801 + 1. assign V827070 = V698427. assign V945928 = V823792 + 1. assign V646222 = V713386 - 1. assign V168739 = V433301 - 1. assign V862672 = V436036 + 1. assign V728128 = V452675. assign V674809 = V307347 - 1. assign V035391 = V070602 + 1. assign V403957 = V142817. assign V649617 = V858815 + 1. assign V298036 = V315746 - 1. assign V070602 = V895330. assign V141831 = V298036. assign V651460 = V019307 + 1. assign V660643 = V855788 + 1. assign V556787 = V307347. assign V182942 = V787179. assign V864411 = V142817 - 1. assign V087420 = V317107 - 1. assign V288032 = V840796 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV128817 = 2;\n\nFrom these direct assignment(s), we have: \nV127554 = V128817 = 2;\nV995668 = V127554 + 1 = 2 + 1 =3;\nV202518 = V995668 + 1 = 3 + 1 =4;\nV719709 = V202518 + 1 = 4 + 1 =5;\nV618627 = V719709 = 5;\nNo other varaibles can be derived from V618627;\nNo other varaibles can be derived from V719709;\nV528332 = V202518 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V528332;\nNo other varaibles can be derived from V202518;\nV052102 = V995668 - 1 = 3 - 1 =2;\nNo other varaibles can be derived from V052102;\nV622156 = V995668 = 3;\nNo other varaibles can be derived from V622156;\nNo other varaibles can be derived from V995668;\nNo other varaibles can be derived from V127554;\nV104097 = V128817 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V104097;\nNo other varaibles can be derived from V128817;\n\nNow we have done all the calculations. Derived variables are:\nV128817 = 2;\nV127554 = 2;\nV995668 = 3;\nV202518 = 4;\nV719709 = 5;\nV618627 = 5;\nV528332 = 5;\nV052102 = 2;\nV622156 = 3;\nV104097 = 1;\n\nNow we have finished this problem. ANSWER:\nV719709, V618627, V528332\n", "role": "assistant" } ]

[ "V294931", "V984411", "V678406", "V503314", "V815309", "V238858" ]

[ { "content": "<context>\nassign V970172 = V600194 + 1. assign V137491 = V158090 - 1. assign V503314 = V294931. assign V799887 = V566712. assign V996944 = V642390. assign V490999 = V009911. assign V864026 = V274976. assign V600194 = V817308 + 1. assign V127919 = V098273 + 1. assign V228379 = V876956. assign V103758 = V938971 + 1. assign V649935 = V971670 + 1. assign V269410 = V089901 - 1. assign V962069 = V911633 - 1. assign V950993 = V690595 + 1. assign V689591 = V754911 - 1. assign V465344 = V294186 + 1. assign V642390 = V298189. assign V642107 = V512660. assign V825410 = V312123 - 1. assign V944152 = V312123 - 1. assign V454646 = V683841 - 1. assign V603449 = V262415 - 1. assign V716929 = V533501. assign V626239 = V968332 - 1. assign V313879 = V266281 - 1. assign V060206 = V761297 + 1. assign V700937 = V765245. assign V530619 = V817308 + 1. assign V325963 = V802442. assign V684784 = V968332 + 1. assign V971691 = V089901. assign V738224 = V681783 - 1. assign V711944 = V620260. assign V878143 = V269640. assign V103643 = V906948 - 1. assign V583710 = V577919 - 1. assign V836517 = V807843. assign V931352 = V543549 - 1. assign V677155 = V112378 - 1. assign V238858 = V503314. assign V154615 = V642107 - 1. assign V161597 = V904429 + 1. assign V520806 = V684784. assign V495629 = V269640 - 1. assign V246443 = V812039 + 1. assign V865804 = V312123 + 1. assign V321688 = V434474 + 1. assign V212136 = V203867. assign V704706 = V106492. assign V448152 = V057657 + 1. assign V360161 = V203867 - 1. assign V911633 = V019411 - 1. assign V472266 = V683841 + 1. assign V715777 = V466556. assign V662469 = V082944. assign V179389 = V577919 + 1. assign V167006 = V639846 + 1. assign V183954 = V642390 - 1. assign V471202 = V434474 + 1. assign V906948 = V167006 - 1. assign V831173 = V681783. assign V744244 = V843142 - 1. assign V681783 = V269640. assign V434474 = V158090 - 1. assign V463158 = V800889. assign V801544 = V247447. assign V460526 = V409035. assign V038570 = V512660 + 1. assign V096880 = V246443 - 1. assign V357773 = V716825 - 1. assign V106492 = V812039 - 1. assign V511102 = V683841 + 1. assign V691753 = V203867. assign V059462 = V810922. assign V843142 = V030138. assign V374781 = V577919 + 1. assign V193412 = V030138. assign V958661 = V357773. assign V193570 = V716929 + 1. assign V471545 = V994762 - 1. assign V982681 = V817308. assign V972310 = V833159 - 1. assign V222136 = V042610. assign V749044 = V971670. assign V817308 = V461856. assign V505737 = V270210. assign V098273 = V060206 + 1. assign V535643 = V802442 + 1. assign V708183 = V270210. assign V021418 = V127698 + 1. assign V473273 = V904429 + 1. assign V761297 = V652663. assign V472435 = V616464 + 1. assign V816502 = V768230 + 1. assign V828629 = V040698 - 1. assign V822361 = V691572 + 1. assign V158090 = V714557 + 1. assign V615030 = V512660 - 1. assign V450819 = V616464. assign V030138 = V360480 - 1. assign V577919 = V294186. assign V620260 = V221539 + 1. assign V089901 = V752549 - 1. assign V032088 = V831173 + 1. assign V461856 = V262415 - 1. assign V195588 = V652663 + 1. assign V851585 = V812039. assign V744747 = V009911. assign V503043 = V322473. assign V866993 = V640130. assign V129022 = V195588 - 1. assign V984411 = V294931. assign V067323 = V374781. assign V832736 = V749044 - 1. assign V294931 = 1. assign V873260 = V770501 + 1. assign V934386 = V639846 - 1. assign V790989 = V727103 - 1. assign V460064 = V587940 + 1. assign V677574 = V246479. assign V971670 = V269410 - 1. assign V743802 = V270210. assign V810826 = V062445 - 1. assign V941703 = V203867. assign V714557 = V512660. assign V057657 = V150848 - 1. assign V587940 = V147539 + 1. assign V192097 = V712483. assign V247447 = V529653 + 1. assign V445320 = V347250 + 1. assign V649059 = V150848 - 1. assign V538133 = V246443 + 1. assign V802442 = V377353 - 1. assign V573294 = V147539. assign V329197 = V313879 - 1. assign V815309 = V294931. assign V519827 = V374781 - 1. assign V124655 = V139539. assign V553207 = V996944. assign V652663 = V298189. assign V877379 = V639846 + 1. assign V659390 = V094351 - 1. assign V400400 = V783293 + 1. assign V834482 = V530619 - 1. assign V296659 = V876956 + 1. assign V924569 = V971691 - 1. assign V342141 = V360480 - 1. assign V203672 = V632289 + 1. assign V229872 = V781919 - 1. assign V505697 = V246479. assign V547820 = V994762 + 1. assign V752549 = V512660. assign V330050 = V521170 - 1. assign V765366 = V108333 - 1. assign V019411 = V139539 - 1. assign V364527 = V040741. assign V009911 = V030138 - 1. assign V810922 = V971691. assign V173788 = V576505. assign V537253 = V089901 - 1. assign V768230 = V330050 - 1. assign V062266 = V633435 + 1. assign V999412 = V677155 + 1. assign V294186 = V246479 + 1. assign V534476 = V329135 - 1. assign V041064 = V865804. assign V834091 = V754433. assign V800889 = V503314 + 1. assign V082944 = V511102. assign V496166 = V330050 - 1. assign V266281 = V269640 + 1. assign V465558 = V834091. assign V632289 = V183954 + 1. assign V863864 = V041064. assign V712483 = V752549 + 1. assign V621802 = V638687 + 1. assign V127698 = V569405 - 1. assign V879793 = V154615 + 1. assign V818318 = V633435. assign V274976 = V577919. assign V823510 = V409035 - 1. assign V665607 = V537253. assign V698479 = V360161. assign V334141 = V677155 + 1. assign V812039 = V474919 - 1. assign V292706 = V716929 - 1. assign V356997 = V490999 + 1. assign V845520 = V878143. assign V930142 = V631277. assign V322473 = V360480. assign V576505 = V615030 + 1. assign V684068 = V817308 + 1. assign V042610 = V360480 + 1. assign V973641 = V452419 + 1. assign V521170 = V360480 - 1. assign V832873 = V976218 + 1. assign V638687 = V921471 + 1. assign V962486 = V512660 - 1. assign V435731 = V949113 + 1. assign V298189 = V512660. assign V976218 = V298189 - 1. assign V049539 = V690595 - 1. assign V409035 = V962486. assign V368855 = V600194. assign V653294 = V741197. assign V441439 = V535643 + 1. assign V789457 = V642390 - 1. assign V807843 = V968332. assign V426427 = V960391. assign V640130 = V330050. assign V741197 = V259077. assign V904429 = V052269. assign V356881 = V329135. assign V052269 = V968332 + 1. assign V379105 = V969137 - 1. assign V713160 = V032088. assign V964986 = V139539 - 1. assign V108333 = V246479. assign V330285 = V639846. assign V969137 = V742297. assign V940139 = V312123 - 1. assign V112378 = V266281. assign V764734 = V521170 - 1. assign V147539 = V262415. assign V270210 = V620260 - 1. assign V691572 = V941703 - 1. assign V123082 = V742297 + 1. assign V167960 = V274976. assign V329135 = V807843 - 1. assign V543549 = V395546 + 1. assign V819748 = V052269 + 1. assign V131608 = V426427 + 1. assign V189247 = V836517. assign V855372 = V941703 + 1. assign V908860 = V179389. assign V049546 = V949113. assign V651067 = V807843. assign V754911 = V781919 + 1. assign V631277 = V770501 - 1. assign V025593 = V419493 - 1. assign V482202 = V183954. assign V716825 = V816594 - 1. assign V474919 = V976218 + 1. assign V916979 = V298189. assign V816594 = V971691 - 1. assign V678406 = V294931. assign V415974 = V173788 + 1. assign V150848 = V819748 - 1. assign V349841 = V765601. assign V413064 = V534476 + 1. assign V301629 = V495629. assign V448553 = V911633 + 1. assign V579125 = V789457 + 1. assign V716278 = V395546 - 1. assign V075798 = V616464 + 1. assign V690595 = V812039. assign V814057 = V322473 + 1. assign V303755 = V577919. assign V622573 = V807843 + 1. assign V616464 = V681783 + 1. assign V781919 = V924569 + 1. assign V060433 = V649935 - 1. assign V529653 = V716825 + 1. assign V960391 = V632289 - 1. assign V391874 = V816594. assign V259077 = V996944. assign V896991 = V298189. assign V833159 = V173788. assign V712340 = V810922. assign V602415 = V916979 + 1. assign V994762 = V377353 - 1. assign V678643 = V781919. assign V683841 = V442415 - 1. assign V868505 = V089901. assign V783293 = V681783 - 1. assign V612629 = V195588 - 1. assign V353785 = V632289 + 1. assign V708910 = V684784. assign V040741 = V984411 - 1. assign V900295 = V950993 + 1. assign V826688 = V482202 + 1. assign V012711 = V790989 - 1. assign V727103 = V409035 + 1. assign V175264 = V511102. assign V938971 = V852159 + 1. assign V667161 = V577919 + 1. assign V754433 = V259077 - 1. assign V756449 = V534476 - 1. assign V345031 = V356881 + 1. assign V684761 = V999412 + 1. assign V729492 = V533501. assign V383837 = V729492 + 1. assign V633435 = V030138 - 1. assign V252652 = V715777 - 1. assign V269640 = V976218 - 1. assign V383824 = V659390 - 1. assign V358112 = V049546 + 1. assign V192574 = V298189 - 1. assign V316355 = V353785 - 1. assign V226443 = V112378. assign V946986 = V742297. assign V451871 = V790989 - 1. assign V203867 = V716825 - 1. assign V221539 = V761297. assign V094351 = V976218. assign V230313 = V690595 + 1. assign V139539 = V395546 - 1. assign V829458 = V038570 - 1. assign V876956 = V855372 + 1. assign V360480 = V298189 + 1. assign V423702 = V395546. assign V040698 = V587940. assign V960478 = V921471 + 1. assign V395546 = V521170 + 1. assign V765245 = V368855. assign V312123 = V512660 + 1. assign V949113 = V976218 - 1. assign V131267 = V741197 - 1. assign V246479 = V812039 - 1. assign V852159 = V642390. assign V111659 = V060433 - 1. assign V734103 = V009911 - 1. assign V938552 = V752549. assign V466556 = V810922 - 1. assign V968332 = V681783 - 1. assign V546041 = V131267 - 1. assign V435362 = V368855. assign V639846 = V274976 - 1. assign V569405 = V810922. assign V770501 = V129022. assign V419493 = V173788 - 1. assign V062445 = V042610 + 1. assign V765601 = V147539 + 1. assign V742297 = V147539 - 1. assign V533501 = V266281 - 1. assign V566031 = V192574 + 1. assign V611551 = V964986 - 1. assign V517004 = V639846 - 1. assign V702006 = V012711 - 1. assign V442415 = V246479. assign V566712 = V765366 + 1. assign V670633 = V360480 + 1. assign V347250 = V904429 - 1. assign V921471 = V817308 + 1. assign V377353 = V831173 + 1. assign V276094 = V296659. assign V875997 = V030138. assign V262415 = V642107. assign V912855 = V473273 + 1. assign V452419 = V802442 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V970172 = V600194 + 1. assign V137491 = V158090 - 1. assign V503314 = V294931. assign V799887 = V566712. assign V996944 = V642390. assign V490999 = V009911. assign V864026 = V274976. assign V600194 = V817308 + 1. assign V127919 = V098273 + 1. assign V228379 = V876956. assign V103758 = V938971 + 1. assign V649935 = V971670 + 1. assign V269410 = V089901 - 1. assign V962069 = V911633 - 1. assign V950993 = V690595 + 1. assign V689591 = V754911 - 1. assign V465344 = V294186 + 1. assign V642390 = V298189. assign V642107 = V512660. assign V825410 = V312123 - 1. assign V944152 = V312123 - 1. assign V454646 = V683841 - 1. assign V603449 = V262415 - 1. assign V716929 = V533501. assign V626239 = V968332 - 1. assign V313879 = V266281 - 1. assign V060206 = V761297 + 1. assign V700937 = V765245. assign V530619 = V817308 + 1. assign V325963 = V802442. assign V684784 = V968332 + 1. assign V971691 = V089901. assign V738224 = V681783 - 1. assign V711944 = V620260. assign V878143 = V269640. assign V103643 = V906948 - 1. assign V583710 = V577919 - 1. assign V836517 = V807843. assign V931352 = V543549 - 1. assign V677155 = V112378 - 1. assign V238858 = V503314. assign V154615 = V642107 - 1. assign V161597 = V904429 + 1. assign V520806 = V684784. assign V495629 = V269640 - 1. assign V246443 = V812039 + 1. assign V865804 = V312123 + 1. assign V321688 = V434474 + 1. assign V212136 = V203867. assign V704706 = V106492. assign V448152 = V057657 + 1. assign V360161 = V203867 - 1. assign V911633 = V019411 - 1. assign V472266 = V683841 + 1. assign V715777 = V466556. assign V662469 = V082944. assign V179389 = V577919 + 1. assign V167006 = V639846 + 1. assign V183954 = V642390 - 1. assign V471202 = V434474 + 1. assign V906948 = V167006 - 1. assign V831173 = V681783. assign V744244 = V843142 - 1. assign V681783 = V269640. assign V434474 = V158090 - 1. assign V463158 = V800889. assign V801544 = V247447. assign V460526 = V409035. assign V038570 = V512660 + 1. assign V096880 = V246443 - 1. assign V357773 = V716825 - 1. assign V106492 = V812039 - 1. assign V511102 = V683841 + 1. assign V691753 = V203867. assign V059462 = V810922. assign V843142 = V030138. assign V374781 = V577919 + 1. assign V193412 = V030138. assign V958661 = V357773. assign V193570 = V716929 + 1. assign V471545 = V994762 - 1. assign V982681 = V817308. assign V972310 = V833159 - 1. assign V222136 = V042610. assign V749044 = V971670. assign V817308 = V461856. assign V505737 = V270210. assign V098273 = V060206 + 1. assign V535643 = V802442 + 1. assign V708183 = V270210. assign V021418 = V127698 + 1. assign V473273 = V904429 + 1. assign V761297 = V652663. assign V472435 = V616464 + 1. assign V816502 = V768230 + 1. assign V828629 = V040698 - 1. assign V822361 = V691572 + 1. assign V158090 = V714557 + 1. assign V615030 = V512660 - 1. assign V450819 = V616464. assign V030138 = V360480 - 1. assign V577919 = V294186. assign V620260 = V221539 + 1. assign V089901 = V752549 - 1. assign V032088 = V831173 + 1. assign V461856 = V262415 - 1. assign V195588 = V652663 + 1. assign V851585 = V812039. assign V744747 = V009911. assign V503043 = V322473. assign V866993 = V640130. assign V129022 = V195588 - 1. assign V984411 = V294931. assign V067323 = V374781. assign V832736 = V749044 - 1. assign V294931 = 1. assign V873260 = V770501 + 1. assign V934386 = V639846 - 1. assign V790989 = V727103 - 1. assign V460064 = V587940 + 1. assign V677574 = V246479. assign V971670 = V269410 - 1. assign V743802 = V270210. assign V810826 = V062445 - 1. assign V941703 = V203867. assign V714557 = V512660. assign V057657 = V150848 - 1. assign V587940 = V147539 + 1. assign V192097 = V712483. assign V247447 = V529653 + 1. assign V445320 = V347250 + 1. assign V649059 = V150848 - 1. assign V538133 = V246443 + 1. assign V802442 = V377353 - 1. assign V573294 = V147539. assign V329197 = V313879 - 1. assign V815309 = V294931. assign V519827 = V374781 - 1. assign V124655 = V139539. assign V553207 = V996944. assign V652663 = V298189. assign V877379 = V639846 + 1. assign V659390 = V094351 - 1. assign V400400 = V783293 + 1. assign V834482 = V530619 - 1. assign V296659 = V876956 + 1. assign V924569 = V971691 - 1. assign V342141 = V360480 - 1. assign V203672 = V632289 + 1. assign V229872 = V781919 - 1. assign V505697 = V246479. assign V547820 = V994762 + 1. assign V752549 = V512660. assign V330050 = V521170 - 1. assign V765366 = V108333 - 1. assign V019411 = V139539 - 1. assign V364527 = V040741. assign V009911 = V030138 - 1. assign V810922 = V971691. assign V173788 = V576505. assign V537253 = V089901 - 1. assign V768230 = V330050 - 1. assign V062266 = V633435 + 1. assign V999412 = V677155 + 1. assign V294186 = V246479 + 1. assign V534476 = V329135 - 1. assign V041064 = V865804. assign V834091 = V754433. assign V800889 = V503314 + 1. assign V082944 = V511102. assign V496166 = V330050 - 1. assign V266281 = V269640 + 1. assign V465558 = V834091. assign V632289 = V183954 + 1. assign V863864 = V041064. assign V712483 = V752549 + 1. assign V621802 = V638687 + 1. assign V127698 = V569405 - 1. assign V879793 = V154615 + 1. assign V818318 = V633435. assign V274976 = V577919. assign V823510 = V409035 - 1. assign V665607 = V537253. assign V698479 = V360161. assign V334141 = V677155 + 1. assign V812039 = V474919 - 1. assign V292706 = V716929 - 1. assign V356997 = V490999 + 1. assign V845520 = V878143. assign V930142 = V631277. assign V322473 = V360480. assign V576505 = V615030 + 1. assign V684068 = V817308 + 1. assign V042610 = V360480 + 1. assign V973641 = V452419 + 1. assign V521170 = V360480 - 1. assign V832873 = V976218 + 1. assign V638687 = V921471 + 1. assign V962486 = V512660 - 1. assign V435731 = V949113 + 1. assign V298189 = V512660. assign V976218 = V298189 - 1. assign V049539 = V690595 - 1. assign V409035 = V962486. assign V368855 = V600194. assign V653294 = V741197. assign V441439 = V535643 + 1. assign V789457 = V642390 - 1. assign V807843 = V968332. assign V426427 = V960391. assign V640130 = V330050. assign V741197 = V259077. assign V904429 = V052269. assign V356881 = V329135. assign V052269 = V968332 + 1. assign V379105 = V969137 - 1. assign V713160 = V032088. assign V964986 = V139539 - 1. assign V108333 = V246479. assign V330285 = V639846. assign V969137 = V742297. assign V940139 = V312123 - 1. assign V112378 = V266281. assign V764734 = V521170 - 1. assign V147539 = V262415. assign V270210 = V620260 - 1. assign V691572 = V941703 - 1. assign V123082 = V742297 + 1. assign V167960 = V274976. assign V329135 = V807843 - 1. assign V543549 = V395546 + 1. assign V819748 = V052269 + 1. assign V131608 = V426427 + 1. assign V189247 = V836517. assign V855372 = V941703 + 1. assign V908860 = V179389. assign V049546 = V949113. assign V651067 = V807843. assign V754911 = V781919 + 1. assign V631277 = V770501 - 1. assign V025593 = V419493 - 1. assign V482202 = V183954. assign V716825 = V816594 - 1. assign V474919 = V976218 + 1. assign V916979 = V298189. assign V816594 = V971691 - 1. assign V678406 = V294931. assign V415974 = V173788 + 1. assign V150848 = V819748 - 1. assign V349841 = V765601. assign V413064 = V534476 + 1. assign V301629 = V495629. assign V448553 = V911633 + 1. assign V579125 = V789457 + 1. assign V716278 = V395546 - 1. assign V075798 = V616464 + 1. assign V690595 = V812039. assign V814057 = V322473 + 1. assign V303755 = V577919. assign V622573 = V807843 + 1. assign V616464 = V681783 + 1. assign V781919 = V924569 + 1. assign V060433 = V649935 - 1. assign V529653 = V716825 + 1. assign V960391 = V632289 - 1. assign V391874 = V816594. assign V259077 = V996944. assign V896991 = V298189. assign V833159 = V173788. assign V712340 = V810922. assign V602415 = V916979 + 1. assign V994762 = V377353 - 1. assign V678643 = V781919. assign V683841 = V442415 - 1. assign V868505 = V089901. assign V783293 = V681783 - 1. assign V612629 = V195588 - 1. assign V353785 = V632289 + 1. assign V708910 = V684784. assign V040741 = V984411 - 1. assign V900295 = V950993 + 1. assign V826688 = V482202 + 1. assign V012711 = V790989 - 1. assign V727103 = V409035 + 1. assign V175264 = V511102. assign V938971 = V852159 + 1. assign V667161 = V577919 + 1. assign V754433 = V259077 - 1. assign V756449 = V534476 - 1. assign V345031 = V356881 + 1. assign V684761 = V999412 + 1. assign V729492 = V533501. assign V383837 = V729492 + 1. assign V633435 = V030138 - 1. assign V252652 = V715777 - 1. assign V269640 = V976218 - 1. assign V383824 = V659390 - 1. assign V358112 = V049546 + 1. assign V192574 = V298189 - 1. assign V316355 = V353785 - 1. assign V226443 = V112378. assign V946986 = V742297. assign V451871 = V790989 - 1. assign V203867 = V716825 - 1. assign V221539 = V761297. assign V094351 = V976218. assign V230313 = V690595 + 1. assign V139539 = V395546 - 1. assign V829458 = V038570 - 1. assign V876956 = V855372 + 1. assign V360480 = V298189 + 1. assign V423702 = V395546. assign V040698 = V587940. assign V960478 = V921471 + 1. assign V395546 = V521170 + 1. assign V765245 = V368855. assign V312123 = V512660 + 1. assign V949113 = V976218 - 1. assign V131267 = V741197 - 1. assign V246479 = V812039 - 1. assign V852159 = V642390. assign V111659 = V060433 - 1. assign V734103 = V009911 - 1. assign V938552 = V752549. assign V466556 = V810922 - 1. assign V968332 = V681783 - 1. assign V546041 = V131267 - 1. assign V435362 = V368855. assign V639846 = V274976 - 1. assign V569405 = V810922. assign V770501 = V129022. assign V419493 = V173788 - 1. assign V062445 = V042610 + 1. assign V765601 = V147539 + 1. assign V742297 = V147539 - 1. assign V533501 = V266281 - 1. assign V566031 = V192574 + 1. assign V611551 = V964986 - 1. assign V517004 = V639846 - 1. assign V702006 = V012711 - 1. assign V442415 = V246479. assign V566712 = V765366 + 1. assign V670633 = V360480 + 1. assign V347250 = V904429 - 1. assign V921471 = V817308 + 1. assign V377353 = V831173 + 1. assign V276094 = V296659. assign V875997 = V030138. assign V262415 = V642107. assign V912855 = V473273 + 1. assign V452419 = V802442 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV294931 = 1;\n\nFrom these direct assignment(s), we have: \nV678406 = V294931 = 1;\nNo other varaibles can be derived from V678406;\nV815309 = V294931 = 1;\nNo other varaibles can be derived from V815309;\nV984411 = V294931 = 1;\nV040741 = V984411 - 1 = 1 - 1 =0;\nV364527 = V040741 = 0;\nNo other varaibles can be derived from V364527;\nNo other varaibles can be derived from V040741;\nNo other varaibles can be derived from V984411;\nV503314 = V294931 = 1;\nV800889 = V503314 + 1 = 1 + 1 =2;\nV463158 = V800889 = 2;\nNo other varaibles can be derived from V463158;\nNo other varaibles can be derived from V800889;\nV238858 = V503314 = 1;\nNo other varaibles can be derived from V238858;\nNo other varaibles can be derived from V503314;\nNo other varaibles can be derived from V294931;\n\nNow we have done all the calculations. Derived variables are:\nV294931 = 1;\nV678406 = 1;\nV815309 = 1;\nV984411 = 1;\nV040741 = 0;\nV364527 = 0;\nV503314 = 1;\nV800889 = 2;\nV463158 = 2;\nV238858 = 1;\n\nNow we have finished this problem. ANSWER:\nV294931, V678406, V815309, V984411, V503314, V238858\n", "role": "assistant" } ]

[ "V555086", "V462493", "V100147", "V457579", "V436797", "V839085", "V131849" ]

[ { "content": "<context>\nassign V786729 = V715671. assign V635778 = V257184 + 1. assign V054564 = V257250 - 1. assign V880952 = V130310. assign V265181 = V092153 - 1. assign V542402 = V608133 + 1. assign V313364 = V102284. assign V798721 = V844248 - 1. assign V074506 = V923427. assign V696049 = V156485 + 1. assign V102284 = V642292. assign V272127 = V137076 - 1. assign V555086 = 6. assign V776294 = V416053 - 1. assign V246044 = V102284 + 1. assign V075992 = V715671 - 1. assign V745825 = V231283 - 1. assign V496773 = V605923. assign V813738 = V161558. assign V056946 = V100147 + 1. assign V838262 = V656772 + 1. assign V032658 = V645024. assign V412477 = V656772 - 1. assign V770269 = V117483. assign V937940 = V572444 - 1. assign V470913 = V817013 + 1. assign V714974 = V957012. assign V564143 = V381637 + 1. assign V176454 = V313364. assign V815701 = V068552 + 1. assign V374466 = V689093 + 1. assign V876979 = V384908 + 1. assign V001017 = V264896. assign V404572 = V166470. assign V298823 = V877663. assign V841905 = V412477 + 1. assign V516574 = V796137 + 1. assign V270741 = V917461. assign V796137 = V091062. assign V296775 = V930131. assign V968331 = V823803. assign V823803 = V701896 - 1. assign V885006 = V288025 - 1. assign V165819 = V459529 + 1. assign V584488 = V356848 - 1. assign V911907 = V844008. assign V785312 = V516467. assign V639764 = V469565. assign V133890 = V017556 + 1. assign V071472 = V504511 - 1. assign V642106 = V860327 + 1. assign V693779 = V313364. assign V700406 = V272127 - 1. assign V301798 = V871426. assign V493191 = V382492 - 1. assign V840560 = V123046 + 1. assign V457579 = V462493. assign V419860 = V374466 - 1. assign V701896 = V642106. assign V567335 = V657667 + 1. assign V511982 = V231283 - 1. assign V902042 = V330403. assign V621246 = V231283 + 1. assign V720286 = V353762. assign V294663 = V272127 + 1. assign V080462 = V514154 - 1. assign V502156 = V483561 + 1. assign V658642 = V817013 - 1. assign V791408 = V176454 + 1. assign V871426 = V288025 + 1. assign V496689 = V344321. assign V581017 = V209398 + 1. assign V858991 = V911907. assign V704493 = V166470 + 1. assign V608133 = V131439 - 1. assign V844980 = V817013 - 1. assign V644116 = V483561 + 1. assign V795003 = V313364 + 1. assign V869172 = V190827. assign V759951 = V412477. assign V726356 = V555086 + 1. assign V019859 = V799626 - 1. assign V844008 = V022160 - 1. assign V617439 = V454413. assign V087679 = V869172 + 1. assign V258157 = V378242 + 1. assign V458483 = V119619 - 1. assign V839085 = V056946 - 1. assign V799626 = V924351 - 1. assign V971882 = V547530. assign V575545 = V642292 - 1. assign V544654 = V871426 - 1. assign V547530 = V572444 - 1. assign V102458 = V917461 + 1. assign V645024 = V923427 - 1. assign V353762 = V916557 + 1. assign V657667 = V811156 - 1. assign V358095 = V916557 + 1. assign V356848 = V932391 - 1. assign V253687 = V343233. assign V703294 = V102284. assign V763275 = V561741 + 1. assign V288025 = V621246 + 1. assign V723454 = V469565. assign V344321 = V642292. assign V860226 = V197749 - 1. assign V540850 = V421215. assign V639844 = V759951 + 1. assign V468481 = V815198 + 1. assign V092153 = V102284. assign V257250 = V448706 - 1. assign V166470 = V272127 + 1. assign V275262 = V653309. assign V764077 = V766513 - 1. assign V416053 = V197749. assign V104646 = V085772 + 1. assign V159746 = V575740. assign V612725 = V813738. assign V085772 = V885006 - 1. assign V630220 = V444914 - 1. assign V678824 = V412934. assign V839383 = V154596 + 1. assign V366498 = V990435. assign V530036 = V092153 - 1. assign V460115 = V770269 + 1. assign V656065 = V658642 - 1. assign V284712 = V877663 - 1. assign V664848 = V017556 + 1. assign V154596 = V465817 - 1. assign V381637 = V526106. assign V386641 = V834304 - 1. assign V704044 = V860327 - 1. assign V516938 = V845855. assign V618088 = V288025 + 1. assign V024447 = V373705 + 1. assign V815782 = V823803 + 1. assign V957012 = V071472. assign V642993 = V682372 - 1. assign V521695 = V642106 - 1. assign V475554 = V032658. assign V318215 = V838262. assign V381473 = V811156 + 1. assign V681892 = V658642 - 1. assign V468544 = V288025 + 1. assign V882816 = V621246 - 1. assign V100147 = V555086. assign V504511 = V150231 + 1. assign V860327 = V166470 - 1. assign V469565 = V860327 - 1. assign V785675 = V770269 + 1. assign V373705 = V496689. assign V917223 = V100147 + 1. assign V664460 = V923427 - 1. assign V131849 = V917223 - 1. assign V264896 = V022160 + 1. assign V185016 = V137076 + 1. assign V459529 = V932673 + 1. assign V642292 = V621246 + 1. assign V569775 = V230260 - 1. assign V408890 = V858991 + 1. assign V412934 = V469565 - 1. assign V931908 = V514154. assign V916557 = V677045 + 1. assign V749187 = V230260 + 1. assign V129034 = V130310. assign V013818 = V483561 + 1. assign V544458 = V382492 + 1. assign V548285 = V521695 + 1. assign V230260 = V621246. assign V878199 = V997985 - 1. assign V343233 = V716161 - 1. assign V330403 = V608972 - 1. assign V161558 = V811156 + 1. assign V932391 = V770269 - 1. assign V448706 = V923427 + 1. assign V273160 = V412477 - 1. assign V190827 = V288025. assign V603841 = V757017 - 1. assign V287777 = V924351 - 1. assign V789615 = V621246 - 1. assign V444914 = V469565 - 1. assign V202216 = V352942 + 1. assign V788197 = V643015. assign V378242 = V916557 - 1. assign V290773 = V378242 + 1. assign V009808 = V652884 - 1. assign V817013 = V469565. assign V933735 = V092153 - 1. assign V756494 = V860226. assign V454413 = V817013 + 1. assign V932673 = V957012 + 1. assign V924351 = V882816 + 1. assign V821202 = V642292 + 1. assign V988809 = V869172 - 1. assign V938958 = V677045. assign V386234 = V849273 - 1. assign V227174 = V197749 + 1. assign V950803 = V749187 - 1. assign V979764 = V544458 + 1. assign V715671 = V631459 + 1. assign V243310 = V468544. assign V699158 = V459529 - 1. assign V652884 = V272127. assign V169478 = V202216. assign V848591 = V421215 + 1. assign V344748 = V603841 - 1. assign V588522 = V567335 + 1. assign V257184 = V844008. assign V152141 = V923427. assign V829960 = V521250 - 1. assign V527828 = V169478 - 1. assign V082758 = V575740 - 1. assign V355016 = V259757 + 1. assign V119619 = V074506 - 1. assign V275692 = V642106. assign V018069 = V700406 - 1. assign V388696 = V937940 - 1. assign V043906 = V938958. assign V426447 = V989252 + 1. assign V521250 = V131728 + 1. assign V131439 = V102284 + 1. assign V906537 = V017556 - 1. assign V719651 = V776294 - 1. assign V682372 = V071472. assign V318228 = V766513 - 1. assign V022160 = V230260 - 1. assign V877663 = V757017 + 1. assign V087825 = V860327 + 1. assign V653309 = V988809 + 1. assign V352942 = V689093 + 1. assign V451755 = V288025 + 1. assign V232462 = V419185. assign V835642 = V977137. assign V419185 = V504511. assign V432359 = V344748. assign V149187 = V932673. assign V656772 = V621246. assign V660090 = V617439. assign V221847 = V869172 - 1. assign V130310 = V989252 + 1. assign V502047 = V815298 + 1. assign V150231 = V257184. assign V672520 = V378242. assign V156485 = V468544. assign V830584 = V718371 + 1. assign V705258 = V496689 - 1. assign V328284 = V209398 - 1. assign V675440 = V419185 + 1. assign V731936 = V502156. assign V849273 = V182970. assign V177715 = V844980 + 1. assign V311519 = V789615. assign V259757 = V341450. assign V757017 = V656772. assign V123046 = V185016. assign V428253 = V230260. assign V017556 = V381473 + 1. assign V617629 = V459529 - 1. assign V203128 = V166470. assign V718371 = V155491 + 1. assign V914076 = V123046 + 1. assign V746233 = V693779 + 1. assign V844248 = V757017. assign V231283 = V137076. assign V917461 = V526106 + 1. assign V997985 = V231283 + 1. assign V156380 = V701896 - 1. assign V957732 = V483561. assign V436797 = V726356 - 1. assign V176568 = V082758 + 1. assign V624858 = V608972 - 1. assign V925088 = V877663 + 1. assign V434400 = V502156 + 1. assign V689093 = V230260 + 1. assign V290260 = V022160. assign V009274 = V421215 + 1. assign V908456 = V932673 - 1. assign V218779 = V082758. assign V526106 = V421215. assign V117483 = V137076 - 1. assign V483561 = V378242 - 1. assign V684782 = V871426. assign V440218 = V137076 + 1. assign V605923 = V469565 + 1. assign V621978 = V022160 - 1. assign V382492 = V071472. assign V421215 = V860327 - 1. assign V229039 = V496689. assign V780661 = V860327. assign V548062 = V218779. assign V930131 = V440218 + 1. assign V716161 = V817013 + 1. assign V558648 = V374466 - 1. assign V341450 = V930131. assign V155491 = V844980 - 1. assign V066729 = V284712 - 1. assign V749084 = V854010 - 1. assign V091062 = V022160. assign V677045 = V440218 - 1. assign V465817 = V421215 + 1. assign V362263 = V815782. assign V122483 = V313364 + 1. assign V845855 = V924351 - 1. assign V815298 = V343233 + 1. assign V923427 = V203128 + 1. assign V221824 = V848591. assign V149976 = V344321 - 1. assign V528062 = V152141 - 1. assign V384908 = V469565. assign V975907 = V815782 - 1. assign V364160 = V190827 + 1. assign V415324 = V677045. assign V054042 = V643015 + 1. assign V990435 = V209398. assign V131728 = V544654 + 1. assign V219875 = V916557 + 1. assign V591082 = V419860. assign V053660 = V311519 - 1. assign V575740 = V749187 - 1. assign V815198 = V496689 + 1. assign V514154 = V264896. assign V916661 = V957732. assign V976456 = V521695 - 1. assign V834304 = V977137 + 1. assign V550495 = V720286 + 1. assign V979738 = V177715 - 1. assign V572444 = V603841. assign V683579 = V219875 + 1. assign V643015 = V037498. assign V516467 = V882816. assign V068552 = V154596 - 1. assign V817875 = V156485 - 1. assign V462493 = V555086. assign V182970 = V799626. assign V608972 = V656772 - 1. assign V631459 = V131439 - 1. assign V997472 = V860327 + 1. assign V854010 = V813738. assign V766513 = V229039 - 1. assign V246783 = V997472 - 1. assign V037498 = V404572. assign V811156 = V182970 - 1. assign V694629 = V869172 - 1. assign V516199 = V243310. assign V197749 = V749187. assign V209398 = V858991 - 1. assign V989252 = V154596 - 1. assign V561741 = V677045 - 1. assign V000174 = V415324. assign V767729 = V068552 + 1. assign V977137 = V544654 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V786729 = V715671. assign V635778 = V257184 + 1. assign V054564 = V257250 - 1. assign V880952 = V130310. assign V265181 = V092153 - 1. assign V542402 = V608133 + 1. assign V313364 = V102284. assign V798721 = V844248 - 1. assign V074506 = V923427. assign V696049 = V156485 + 1. assign V102284 = V642292. assign V272127 = V137076 - 1. assign V555086 = 6. assign V776294 = V416053 - 1. assign V246044 = V102284 + 1. assign V075992 = V715671 - 1. assign V745825 = V231283 - 1. assign V496773 = V605923. assign V813738 = V161558. assign V056946 = V100147 + 1. assign V838262 = V656772 + 1. assign V032658 = V645024. assign V412477 = V656772 - 1. assign V770269 = V117483. assign V937940 = V572444 - 1. assign V470913 = V817013 + 1. assign V714974 = V957012. assign V564143 = V381637 + 1. assign V176454 = V313364. assign V815701 = V068552 + 1. assign V374466 = V689093 + 1. assign V876979 = V384908 + 1. assign V001017 = V264896. assign V404572 = V166470. assign V298823 = V877663. assign V841905 = V412477 + 1. assign V516574 = V796137 + 1. assign V270741 = V917461. assign V796137 = V091062. assign V296775 = V930131. assign V968331 = V823803. assign V823803 = V701896 - 1. assign V885006 = V288025 - 1. assign V165819 = V459529 + 1. assign V584488 = V356848 - 1. assign V911907 = V844008. assign V785312 = V516467. assign V639764 = V469565. assign V133890 = V017556 + 1. assign V071472 = V504511 - 1. assign V642106 = V860327 + 1. assign V693779 = V313364. assign V700406 = V272127 - 1. assign V301798 = V871426. assign V493191 = V382492 - 1. assign V840560 = V123046 + 1. assign V457579 = V462493. assign V419860 = V374466 - 1. assign V701896 = V642106. assign V567335 = V657667 + 1. assign V511982 = V231283 - 1. assign V902042 = V330403. assign V621246 = V231283 + 1. assign V720286 = V353762. assign V294663 = V272127 + 1. assign V080462 = V514154 - 1. assign V502156 = V483561 + 1. assign V658642 = V817013 - 1. assign V791408 = V176454 + 1. assign V871426 = V288025 + 1. assign V496689 = V344321. assign V581017 = V209398 + 1. assign V858991 = V911907. assign V704493 = V166470 + 1. assign V608133 = V131439 - 1. assign V844980 = V817013 - 1. assign V644116 = V483561 + 1. assign V795003 = V313364 + 1. assign V869172 = V190827. assign V759951 = V412477. assign V726356 = V555086 + 1. assign V019859 = V799626 - 1. assign V844008 = V022160 - 1. assign V617439 = V454413. assign V087679 = V869172 + 1. assign V258157 = V378242 + 1. assign V458483 = V119619 - 1. assign V839085 = V056946 - 1. assign V799626 = V924351 - 1. assign V971882 = V547530. assign V575545 = V642292 - 1. assign V544654 = V871426 - 1. assign V547530 = V572444 - 1. assign V102458 = V917461 + 1. assign V645024 = V923427 - 1. assign V353762 = V916557 + 1. assign V657667 = V811156 - 1. assign V358095 = V916557 + 1. assign V356848 = V932391 - 1. assign V253687 = V343233. assign V703294 = V102284. assign V763275 = V561741 + 1. assign V288025 = V621246 + 1. assign V723454 = V469565. assign V344321 = V642292. assign V860226 = V197749 - 1. assign V540850 = V421215. assign V639844 = V759951 + 1. assign V468481 = V815198 + 1. assign V092153 = V102284. assign V257250 = V448706 - 1. assign V166470 = V272127 + 1. assign V275262 = V653309. assign V764077 = V766513 - 1. assign V416053 = V197749. assign V104646 = V085772 + 1. assign V159746 = V575740. assign V612725 = V813738. assign V085772 = V885006 - 1. assign V630220 = V444914 - 1. assign V678824 = V412934. assign V839383 = V154596 + 1. assign V366498 = V990435. assign V530036 = V092153 - 1. assign V460115 = V770269 + 1. assign V656065 = V658642 - 1. assign V284712 = V877663 - 1. assign V664848 = V017556 + 1. assign V154596 = V465817 - 1. assign V381637 = V526106. assign V386641 = V834304 - 1. assign V704044 = V860327 - 1. assign V516938 = V845855. assign V618088 = V288025 + 1. assign V024447 = V373705 + 1. assign V815782 = V823803 + 1. assign V957012 = V071472. assign V642993 = V682372 - 1. assign V521695 = V642106 - 1. assign V475554 = V032658. assign V318215 = V838262. assign V381473 = V811156 + 1. assign V681892 = V658642 - 1. assign V468544 = V288025 + 1. assign V882816 = V621246 - 1. assign V100147 = V555086. assign V504511 = V150231 + 1. assign V860327 = V166470 - 1. assign V469565 = V860327 - 1. assign V785675 = V770269 + 1. assign V373705 = V496689. assign V917223 = V100147 + 1. assign V664460 = V923427 - 1. assign V131849 = V917223 - 1. assign V264896 = V022160 + 1. assign V185016 = V137076 + 1. assign V459529 = V932673 + 1. assign V642292 = V621246 + 1. assign V569775 = V230260 - 1. assign V408890 = V858991 + 1. assign V412934 = V469565 - 1. assign V931908 = V514154. assign V916557 = V677045 + 1. assign V749187 = V230260 + 1. assign V129034 = V130310. assign V013818 = V483561 + 1. assign V544458 = V382492 + 1. assign V548285 = V521695 + 1. assign V230260 = V621246. assign V878199 = V997985 - 1. assign V343233 = V716161 - 1. assign V330403 = V608972 - 1. assign V161558 = V811156 + 1. assign V932391 = V770269 - 1. assign V448706 = V923427 + 1. assign V273160 = V412477 - 1. assign V190827 = V288025. assign V603841 = V757017 - 1. assign V287777 = V924351 - 1. assign V789615 = V621246 - 1. assign V444914 = V469565 - 1. assign V202216 = V352942 + 1. assign V788197 = V643015. assign V378242 = V916557 - 1. assign V290773 = V378242 + 1. assign V009808 = V652884 - 1. assign V817013 = V469565. assign V933735 = V092153 - 1. assign V756494 = V860226. assign V454413 = V817013 + 1. assign V932673 = V957012 + 1. assign V924351 = V882816 + 1. assign V821202 = V642292 + 1. assign V988809 = V869172 - 1. assign V938958 = V677045. assign V386234 = V849273 - 1. assign V227174 = V197749 + 1. assign V950803 = V749187 - 1. assign V979764 = V544458 + 1. assign V715671 = V631459 + 1. assign V243310 = V468544. assign V699158 = V459529 - 1. assign V652884 = V272127. assign V169478 = V202216. assign V848591 = V421215 + 1. assign V344748 = V603841 - 1. assign V588522 = V567335 + 1. assign V257184 = V844008. assign V152141 = V923427. assign V829960 = V521250 - 1. assign V527828 = V169478 - 1. assign V082758 = V575740 - 1. assign V355016 = V259757 + 1. assign V119619 = V074506 - 1. assign V275692 = V642106. assign V018069 = V700406 - 1. assign V388696 = V937940 - 1. assign V043906 = V938958. assign V426447 = V989252 + 1. assign V521250 = V131728 + 1. assign V131439 = V102284 + 1. assign V906537 = V017556 - 1. assign V719651 = V776294 - 1. assign V682372 = V071472. assign V318228 = V766513 - 1. assign V022160 = V230260 - 1. assign V877663 = V757017 + 1. assign V087825 = V860327 + 1. assign V653309 = V988809 + 1. assign V352942 = V689093 + 1. assign V451755 = V288025 + 1. assign V232462 = V419185. assign V835642 = V977137. assign V419185 = V504511. assign V432359 = V344748. assign V149187 = V932673. assign V656772 = V621246. assign V660090 = V617439. assign V221847 = V869172 - 1. assign V130310 = V989252 + 1. assign V502047 = V815298 + 1. assign V150231 = V257184. assign V672520 = V378242. assign V156485 = V468544. assign V830584 = V718371 + 1. assign V705258 = V496689 - 1. assign V328284 = V209398 - 1. assign V675440 = V419185 + 1. assign V731936 = V502156. assign V849273 = V182970. assign V177715 = V844980 + 1. assign V311519 = V789615. assign V259757 = V341450. assign V757017 = V656772. assign V123046 = V185016. assign V428253 = V230260. assign V017556 = V381473 + 1. assign V617629 = V459529 - 1. assign V203128 = V166470. assign V718371 = V155491 + 1. assign V914076 = V123046 + 1. assign V746233 = V693779 + 1. assign V844248 = V757017. assign V231283 = V137076. assign V917461 = V526106 + 1. assign V997985 = V231283 + 1. assign V156380 = V701896 - 1. assign V957732 = V483561. assign V436797 = V726356 - 1. assign V176568 = V082758 + 1. assign V624858 = V608972 - 1. assign V925088 = V877663 + 1. assign V434400 = V502156 + 1. assign V689093 = V230260 + 1. assign V290260 = V022160. assign V009274 = V421215 + 1. assign V908456 = V932673 - 1. assign V218779 = V082758. assign V526106 = V421215. assign V117483 = V137076 - 1. assign V483561 = V378242 - 1. assign V684782 = V871426. assign V440218 = V137076 + 1. assign V605923 = V469565 + 1. assign V621978 = V022160 - 1. assign V382492 = V071472. assign V421215 = V860327 - 1. assign V229039 = V496689. assign V780661 = V860327. assign V548062 = V218779. assign V930131 = V440218 + 1. assign V716161 = V817013 + 1. assign V558648 = V374466 - 1. assign V341450 = V930131. assign V155491 = V844980 - 1. assign V066729 = V284712 - 1. assign V749084 = V854010 - 1. assign V091062 = V022160. assign V677045 = V440218 - 1. assign V465817 = V421215 + 1. assign V362263 = V815782. assign V122483 = V313364 + 1. assign V845855 = V924351 - 1. assign V815298 = V343233 + 1. assign V923427 = V203128 + 1. assign V221824 = V848591. assign V149976 = V344321 - 1. assign V528062 = V152141 - 1. assign V384908 = V469565. assign V975907 = V815782 - 1. assign V364160 = V190827 + 1. assign V415324 = V677045. assign V054042 = V643015 + 1. assign V990435 = V209398. assign V131728 = V544654 + 1. assign V219875 = V916557 + 1. assign V591082 = V419860. assign V053660 = V311519 - 1. assign V575740 = V749187 - 1. assign V815198 = V496689 + 1. assign V514154 = V264896. assign V916661 = V957732. assign V976456 = V521695 - 1. assign V834304 = V977137 + 1. assign V550495 = V720286 + 1. assign V979738 = V177715 - 1. assign V572444 = V603841. assign V683579 = V219875 + 1. assign V643015 = V037498. assign V516467 = V882816. assign V068552 = V154596 - 1. assign V817875 = V156485 - 1. assign V462493 = V555086. assign V182970 = V799626. assign V608972 = V656772 - 1. assign V631459 = V131439 - 1. assign V997472 = V860327 + 1. assign V854010 = V813738. assign V766513 = V229039 - 1. assign V246783 = V997472 - 1. assign V037498 = V404572. assign V811156 = V182970 - 1. assign V694629 = V869172 - 1. assign V516199 = V243310. assign V197749 = V749187. assign V209398 = V858991 - 1. assign V989252 = V154596 - 1. assign V561741 = V677045 - 1. assign V000174 = V415324. assign V767729 = V068552 + 1. assign V977137 = V544654 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV555086 = 6;\n\nFrom these direct assignment(s), we have: \nV462493 = V555086 = 6;\nV457579 = V462493 = 6;\nNo other varaibles can be derived from V457579;\nNo other varaibles can be derived from V462493;\nV100147 = V555086 = 6;\nV917223 = V100147 + 1 = 6 + 1 =7;\nV131849 = V917223 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V131849;\nNo other varaibles can be derived from V917223;\nV056946 = V100147 + 1 = 6 + 1 =7;\nV839085 = V056946 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V839085;\nNo other varaibles can be derived from V056946;\nNo other varaibles can be derived from V100147;\nV726356 = V555086 + 1 = 6 + 1 =7;\nV436797 = V726356 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V436797;\nNo other varaibles can be derived from V726356;\nNo other varaibles can be derived from V555086;\n\nNow we have done all the calculations. Derived variables are:\nV555086 = 6;\nV462493 = 6;\nV457579 = 6;\nV100147 = 6;\nV917223 = 7;\nV131849 = 6;\nV056946 = 7;\nV839085 = 6;\nV726356 = 7;\nV436797 = 6;\n\nNow we have finished this problem. ANSWER:\nV555086, V462493, V457579, V100147, V131849, V839085, V436797\n", "role": "assistant" } ]

[ "V820597", "V142308", "V734720", "V484317" ]

[ { "content": "<context>\nassign V484317 = V393382 - 1. assign V699194 = V595684 + 1. assign V525754 = V295379 + 1. assign V290274 = V233279 - 1. assign V526804 = V423754 - 1. assign V799882 = V221857. assign V959427 = V814234 + 1. assign V084745 = V521643 + 1. assign V801337 = V412232 - 1. assign V395535 = V143023 - 1. assign V788424 = V525754. assign V352146 = V042009 + 1. assign V894052 = V007008 - 1. assign V505765 = V933301 - 1. assign V512489 = V846994 + 1. assign V131373 = V779534. assign V414227 = V341234 - 1. assign V050963 = V421361 + 1. assign V001189 = V526804. assign V947648 = V805553 - 1. assign V144038 = V814620. assign V207760 = V267209 + 1. assign V250937 = V499742 - 1. assign V326772 = V325813. assign V278987 = V341628. assign V803449 = V460536 + 1. assign V050147 = V910901. assign V252818 = V019398. assign V325813 = V785729 - 1. assign V359573 = V938103 + 1. assign V848585 = V799882 + 1. assign V170734 = V373554. assign V420090 = V752721. assign V498655 = V290274 + 1. assign V058246 = V538322 + 1. assign V565882 = V155726. assign V531571 = V233279 + 1. assign V506570 = V575415 - 1. assign V844650 = V502141 - 1. assign V474567 = V366133 - 1. assign V761032 = V794584 + 1. assign V014498 = V442693 - 1. assign V820865 = V526804 - 1. assign V357130 = V145603 - 1. assign V083947 = V422924. assign V910901 = V992463 + 1. assign V014935 = V811469. assign V402096 = V032409 - 1. assign V430390 = V412232. assign V785729 = V974486. assign V021926 = V631137. assign V579129 = V720571 - 1. assign V297573 = V119230. assign V503167 = V020846. assign V712315 = V733067 - 1. assign V100368 = V221857. assign V575415 = V188088 - 1. assign V439653 = V846994 + 1. assign V505561 = V206452. assign V412232 = V165589 - 1. assign V904232 = V520317. assign V918018 = V728923. assign V046770 = V297573 - 1. assign V787347 = V963870 + 1. assign V315001 = V886339. assign V451142 = V245991. assign V595684 = V079472 + 1. assign V660691 = V429581 + 1. assign V572064 = V053595 - 1. assign V841980 = V744787 + 1. assign V820597 = V966692 - 1. assign V026071 = V531571 - 1. assign V702919 = V521643. assign V107614 = V974486. assign V018653 = V579129 - 1. assign V012116 = V047536 + 1. assign V169622 = V046770. assign V422924 = V053595 + 1. assign V619744 = V525754 + 1. assign V418887 = V849455. assign V562870 = V403490. assign V183764 = V884911 - 1. assign V242233 = V100368 - 1. assign V643226 = V366133 + 1. assign V250416 = V429581 + 1. assign V755571 = V814620. assign V019284 = V404104 - 1. assign V468356 = V359445 - 1. assign V180465 = V239650 + 1. assign V976583 = V373554 - 1. assign V726059 = V799882 + 1. assign V915610 = V695140 - 1. assign V863311 = V206452 - 1. assign V584292 = V264072 + 1. assign V039125 = V341628 + 1. assign V044916 = V188088 + 1. assign V985017 = V609600 + 1. assign V708007 = V502141. assign V446418 = V430390 + 1. assign V071834 = V411385. assign V585999 = V708007 - 1. assign V896992 = V039125. assign V636810 = V297573. assign V717849 = V009593. assign V493386 = V643226. assign V811621 = V207760 - 1. assign V341628 = V814620 + 1. assign V559671 = V799882 - 1. assign V527848 = V924893. assign V943322 = V531571 + 1. assign V992463 = V559671 + 1. assign V722311 = V745533 + 1. assign V091192 = V803449 - 1. assign V188088 = V684229 - 1. assign V308605 = V799882 - 1. assign V165589 = V565882 + 1. assign V455039 = V677605. assign V475636 = V702591. assign V451954 = V418887 - 1. assign V221857 = V814620 + 1. assign V814620 = V290274 - 1. assign V140315 = V355156 - 1. assign V057302 = V941084 + 1. assign V924893 = V014498. assign V962704 = V684229. assign V494722 = V676204. assign V779534 = V871288. assign V733067 = V078517. assign V540177 = V662232 + 1. assign V042009 = V621097 - 1. assign V186343 = V119230 - 1. assign V978530 = V931087. assign V886339 = V172170 + 1. assign V720571 = V525754 - 1. assign V314538 = V186343 - 1. assign V227831 = V297573 - 1. assign V561113 = V322403 - 1. assign V645894 = V016429 - 1. assign V568004 = V992463 - 1. assign V206452 = V849455. assign V363144 = V525754 + 1. assign V460536 = V520317 - 1. assign V315350 = V846994 - 1. assign V322428 = V203147. assign V341234 = V079472 - 1. assign V324282 = V242233 - 1. assign V174127 = V803449. assign V879548 = V717849 + 1. assign V667824 = V475636. assign V973353 = V931087 - 1. assign V471983 = V465469. assign V997566 = V636097 - 1. assign V664727 = V264072. assign V586301 = V660691 - 1. assign V953871 = V799882. assign V731897 = V119230. assign V155726 = V814620 + 1. assign V345578 = V799882. assign V201086 = V206452 + 1. assign V359445 = V206452 - 1. assign V447239 = V442693 - 1. assign V009593 = V531571. assign V500658 = V876255 - 1. assign V884911 = V336246 - 1. assign V647305 = V186343. assign V465751 = V980345 - 1. assign V228038 = V811469 - 1. assign V676204 = V304767 + 1. assign V245991 = V689179. assign V794584 = V304767. assign V963870 = V290274 - 1. assign V142308 = V966692 - 1. assign V648476 = V565882 + 1. assign V336246 = V421361 - 1. assign V529091 = V430390 - 1. assign V636097 = V326271 - 1. assign V609600 = V575415 + 1. assign V932482 = V325813. assign V143023 = V966995. assign V161506 = V992463 - 1. assign V849455 = V745533 + 1. assign V947629 = V702919 + 1. assign V811469 = V188088 - 1. assign V278456 = V849455. assign V824610 = V119230 + 1. assign V291023 = V058246 + 1. assign V524020 = V155726 - 1. assign V538322 = V648476 - 1. assign V362197 = V297573 - 1. assign V980899 = V648437 + 1. assign V322403 = V689179 + 1. assign V749822 = V643226. assign V465364 = V018545 - 1. assign V019398 = V278987. assign V873724 = V165589 + 1. assign V400913 = V233279 - 1. assign V716027 = V568004 + 1. assign V007008 = V183764 - 1. assign V883596 = V538322 + 1. assign V818749 = V355288 + 1. assign V913533 = V447239 - 1. assign V752721 = V460536. assign V966692 = V393382. assign V304767 = V054163. assign V266078 = V755571 - 1. assign V621097 = V242233 + 1. assign V871288 = V264072. assign V744888 = V412232 - 1. assign V018545 = V341628. assign V645977 = V974486. assign V245940 = V014498. assign V203147 = V966692. assign V373554 = V165589 - 1. assign V702467 = V531571 - 1. assign V483516 = V662232 - 1. assign V165072 = V579129 + 1. assign V172170 = V400913 - 1. assign V741252 = V142308 - 1. assign V617921 = V824849 - 1. assign V752372 = V484874. assign V930639 = V947648. assign V723387 = V871288 - 1. assign V913856 = V744787. assign V435047 = V702467 + 1. assign V786519 = V904645 - 1. assign V078517 = V525754 + 1. assign V805553 = V498655. assign V416018 = V586301 - 1. assign V256168 = V079472 + 1. assign V119230 = V814620 + 1. assign V911047 = V506570 + 1. assign V695140 = V848585 - 1. assign V926899 = V423754 - 1. assign V937736 = V962704 + 1. assign V421361 = V221857 - 1. assign V301315 = V974486 + 1. assign V145603 = V531571 + 1. assign V366133 = V525754 - 1. assign V429581 = V423754 - 1. assign V689179 = V221857 + 1. assign V355288 = V423754. assign V814234 = V326271. assign V734720 = V966692 - 1. assign V648437 = V572064 + 1. assign V547796 = V648476 - 1. assign V295379 = V290274 - 1. assign V728923 = V278987 + 1. assign V915118 = V520317 - 1. assign V664925 = V465751. assign V485418 = V435207 - 1. assign V471832 = V423754. assign V576532 = V239650 - 1. assign V393382 = 7. assign V149949 = V961060 - 1. assign V148412 = V849455 - 1. assign V421375 = V091192 + 1. assign V677605 = V684229 + 1. assign V510483 = V631137 + 1. assign V974486 = V943322. assign V349630 = V359445 + 1. assign V014510 = V752721 - 1. assign V423754 = V290274. assign V631137 = V290274 + 1. assign V055769 = V451954. assign V465469 = V982573 + 1. assign V744787 = V322403. assign V702591 = V910901. assign V982573 = V272516 + 1. assign V933301 = V619744 - 1. assign V181660 = V050963 + 1. assign V442693 = V961060 + 1. assign V435207 = V341628. assign V136147 = V099278. assign V980345 = V054163 - 1. assign V642506 = V359573 - 1. assign V502141 = V871288. assign V020846 = V165589 - 1. assign V439997 = V525754 - 1. assign V506015 = V245991 + 1. assign V961060 = V221857 + 1. assign V111391 = V355288 - 1. assign V447452 = V423754 - 1. assign V134061 = V155726. assign V054163 = V619744 + 1. assign V902195 = V326271 + 1. assign V459926 = V267209 - 1. assign V100610 = V016429 + 1. assign V394957 = V233279 - 1. assign V684229 = V909673 + 1. assign V016429 = V745533 + 1. assign V846994 = V565882. assign V522027 = V326271. assign V904645 = V575415 + 1. assign V195251 = V026071 - 1. assign V364047 = V355156. assign V118226 = V579129 + 1. assign V332048 = V352146. assign V484874 = V404104 - 1. assign V099278 = V423754 - 1. assign V420413 = V181660 + 1. assign V881901 = V262086 - 1. assign V587682 = V943322 + 1. assign V047810 = V403490. assign V411385 = V909673 + 1. assign V053595 = V325813 - 1. assign V941084 = V290274. assign V467358 = V042009. assign V032409 = V506015 + 1. assign V350527 = V731897 - 1. assign V326271 = V520317 - 1. assign V612311 = V913822 + 1. assign V239650 = V221857 - 1. assign V791792 = V506015 - 1. assign V047536 = V014510 - 1. assign V064749 = V520317 - 1. assign V349236 = V026071. assign V819346 = V264072 - 1. assign V520317 = V119230 - 1. assign V966995 = V014498 - 1. assign V521643 = V702467. assign V499742 = V677605 - 1. assign V079472 = V014498. assign V347879 = V001189. assign V267209 = V575415 - 1. assign V482955 = V752721 + 1. assign V404104 = V643226 + 1. assign V909673 = V689179 - 1. assign V662232 = V785729. assign V824849 = V702467. assign V911553 = V731897. assign V933018 = V500658 + 1. assign V403490 = V785729 - 1. assign V913822 = V962704 + 1. assign V864567 = V910901. assign V262086 = V702467 - 1. assign V319404 = V349630. assign V272516 = V559671. assign V955097 = V568004 - 1. assign V195274 = V803449 - 1. assign V745533 = V233279. assign V548865 = V373554. assign V264072 = V689179 - 1. assign V104162 = V355156. assign V295061 = V290274 - 1. assign V355156 = V322403. assign V878169 = V044916. assign V271434 = V966692. assign V535928 = V455039 - 1. assign V931087 = V100610. assign V876255 = V749822 + 1. assign V938103 = V824849 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V484317 = V393382 - 1. assign V699194 = V595684 + 1. assign V525754 = V295379 + 1. assign V290274 = V233279 - 1. assign V526804 = V423754 - 1. assign V799882 = V221857. assign V959427 = V814234 + 1. assign V084745 = V521643 + 1. assign V801337 = V412232 - 1. assign V395535 = V143023 - 1. assign V788424 = V525754. assign V352146 = V042009 + 1. assign V894052 = V007008 - 1. assign V505765 = V933301 - 1. assign V512489 = V846994 + 1. assign V131373 = V779534. assign V414227 = V341234 - 1. assign V050963 = V421361 + 1. assign V001189 = V526804. assign V947648 = V805553 - 1. assign V144038 = V814620. assign V207760 = V267209 + 1. assign V250937 = V499742 - 1. assign V326772 = V325813. assign V278987 = V341628. assign V803449 = V460536 + 1. assign V050147 = V910901. assign V252818 = V019398. assign V325813 = V785729 - 1. assign V359573 = V938103 + 1. assign V848585 = V799882 + 1. assign V170734 = V373554. assign V420090 = V752721. assign V498655 = V290274 + 1. assign V058246 = V538322 + 1. assign V565882 = V155726. assign V531571 = V233279 + 1. assign V506570 = V575415 - 1. assign V844650 = V502141 - 1. assign V474567 = V366133 - 1. assign V761032 = V794584 + 1. assign V014498 = V442693 - 1. assign V820865 = V526804 - 1. assign V357130 = V145603 - 1. assign V083947 = V422924. assign V910901 = V992463 + 1. assign V014935 = V811469. assign V402096 = V032409 - 1. assign V430390 = V412232. assign V785729 = V974486. assign V021926 = V631137. assign V579129 = V720571 - 1. assign V297573 = V119230. assign V503167 = V020846. assign V712315 = V733067 - 1. assign V100368 = V221857. assign V575415 = V188088 - 1. assign V439653 = V846994 + 1. assign V505561 = V206452. assign V412232 = V165589 - 1. assign V904232 = V520317. assign V918018 = V728923. assign V046770 = V297573 - 1. assign V787347 = V963870 + 1. assign V315001 = V886339. assign V451142 = V245991. assign V595684 = V079472 + 1. assign V660691 = V429581 + 1. assign V572064 = V053595 - 1. assign V841980 = V744787 + 1. assign V820597 = V966692 - 1. assign V026071 = V531571 - 1. assign V702919 = V521643. assign V107614 = V974486. assign V018653 = V579129 - 1. assign V012116 = V047536 + 1. assign V169622 = V046770. assign V422924 = V053595 + 1. assign V619744 = V525754 + 1. assign V418887 = V849455. assign V562870 = V403490. assign V183764 = V884911 - 1. assign V242233 = V100368 - 1. assign V643226 = V366133 + 1. assign V250416 = V429581 + 1. assign V755571 = V814620. assign V019284 = V404104 - 1. assign V468356 = V359445 - 1. assign V180465 = V239650 + 1. assign V976583 = V373554 - 1. assign V726059 = V799882 + 1. assign V915610 = V695140 - 1. assign V863311 = V206452 - 1. assign V584292 = V264072 + 1. assign V039125 = V341628 + 1. assign V044916 = V188088 + 1. assign V985017 = V609600 + 1. assign V708007 = V502141. assign V446418 = V430390 + 1. assign V071834 = V411385. assign V585999 = V708007 - 1. assign V896992 = V039125. assign V636810 = V297573. assign V717849 = V009593. assign V493386 = V643226. assign V811621 = V207760 - 1. assign V341628 = V814620 + 1. assign V559671 = V799882 - 1. assign V527848 = V924893. assign V943322 = V531571 + 1. assign V992463 = V559671 + 1. assign V722311 = V745533 + 1. assign V091192 = V803449 - 1. assign V188088 = V684229 - 1. assign V308605 = V799882 - 1. assign V165589 = V565882 + 1. assign V455039 = V677605. assign V475636 = V702591. assign V451954 = V418887 - 1. assign V221857 = V814620 + 1. assign V814620 = V290274 - 1. assign V140315 = V355156 - 1. assign V057302 = V941084 + 1. assign V924893 = V014498. assign V962704 = V684229. assign V494722 = V676204. assign V779534 = V871288. assign V733067 = V078517. assign V540177 = V662232 + 1. assign V042009 = V621097 - 1. assign V186343 = V119230 - 1. assign V978530 = V931087. assign V886339 = V172170 + 1. assign V720571 = V525754 - 1. assign V314538 = V186343 - 1. assign V227831 = V297573 - 1. assign V561113 = V322403 - 1. assign V645894 = V016429 - 1. assign V568004 = V992463 - 1. assign V206452 = V849455. assign V363144 = V525754 + 1. assign V460536 = V520317 - 1. assign V315350 = V846994 - 1. assign V322428 = V203147. assign V341234 = V079472 - 1. assign V324282 = V242233 - 1. assign V174127 = V803449. assign V879548 = V717849 + 1. assign V667824 = V475636. assign V973353 = V931087 - 1. assign V471983 = V465469. assign V997566 = V636097 - 1. assign V664727 = V264072. assign V586301 = V660691 - 1. assign V953871 = V799882. assign V731897 = V119230. assign V155726 = V814620 + 1. assign V345578 = V799882. assign V201086 = V206452 + 1. assign V359445 = V206452 - 1. assign V447239 = V442693 - 1. assign V009593 = V531571. assign V500658 = V876255 - 1. assign V884911 = V336246 - 1. assign V647305 = V186343. assign V465751 = V980345 - 1. assign V228038 = V811469 - 1. assign V676204 = V304767 + 1. assign V245991 = V689179. assign V794584 = V304767. assign V963870 = V290274 - 1. assign V142308 = V966692 - 1. assign V648476 = V565882 + 1. assign V336246 = V421361 - 1. assign V529091 = V430390 - 1. assign V636097 = V326271 - 1. assign V609600 = V575415 + 1. assign V932482 = V325813. assign V143023 = V966995. assign V161506 = V992463 - 1. assign V849455 = V745533 + 1. assign V947629 = V702919 + 1. assign V811469 = V188088 - 1. assign V278456 = V849455. assign V824610 = V119230 + 1. assign V291023 = V058246 + 1. assign V524020 = V155726 - 1. assign V538322 = V648476 - 1. assign V362197 = V297573 - 1. assign V980899 = V648437 + 1. assign V322403 = V689179 + 1. assign V749822 = V643226. assign V465364 = V018545 - 1. assign V019398 = V278987. assign V873724 = V165589 + 1. assign V400913 = V233279 - 1. assign V716027 = V568004 + 1. assign V007008 = V183764 - 1. assign V883596 = V538322 + 1. assign V818749 = V355288 + 1. assign V913533 = V447239 - 1. assign V752721 = V460536. assign V966692 = V393382. assign V304767 = V054163. assign V266078 = V755571 - 1. assign V621097 = V242233 + 1. assign V871288 = V264072. assign V744888 = V412232 - 1. assign V018545 = V341628. assign V645977 = V974486. assign V245940 = V014498. assign V203147 = V966692. assign V373554 = V165589 - 1. assign V702467 = V531571 - 1. assign V483516 = V662232 - 1. assign V165072 = V579129 + 1. assign V172170 = V400913 - 1. assign V741252 = V142308 - 1. assign V617921 = V824849 - 1. assign V752372 = V484874. assign V930639 = V947648. assign V723387 = V871288 - 1. assign V913856 = V744787. assign V435047 = V702467 + 1. assign V786519 = V904645 - 1. assign V078517 = V525754 + 1. assign V805553 = V498655. assign V416018 = V586301 - 1. assign V256168 = V079472 + 1. assign V119230 = V814620 + 1. assign V911047 = V506570 + 1. assign V695140 = V848585 - 1. assign V926899 = V423754 - 1. assign V937736 = V962704 + 1. assign V421361 = V221857 - 1. assign V301315 = V974486 + 1. assign V145603 = V531571 + 1. assign V366133 = V525754 - 1. assign V429581 = V423754 - 1. assign V689179 = V221857 + 1. assign V355288 = V423754. assign V814234 = V326271. assign V734720 = V966692 - 1. assign V648437 = V572064 + 1. assign V547796 = V648476 - 1. assign V295379 = V290274 - 1. assign V728923 = V278987 + 1. assign V915118 = V520317 - 1. assign V664925 = V465751. assign V485418 = V435207 - 1. assign V471832 = V423754. assign V576532 = V239650 - 1. assign V393382 = 7. assign V149949 = V961060 - 1. assign V148412 = V849455 - 1. assign V421375 = V091192 + 1. assign V677605 = V684229 + 1. assign V510483 = V631137 + 1. assign V974486 = V943322. assign V349630 = V359445 + 1. assign V014510 = V752721 - 1. assign V423754 = V290274. assign V631137 = V290274 + 1. assign V055769 = V451954. assign V465469 = V982573 + 1. assign V744787 = V322403. assign V702591 = V910901. assign V982573 = V272516 + 1. assign V933301 = V619744 - 1. assign V181660 = V050963 + 1. assign V442693 = V961060 + 1. assign V435207 = V341628. assign V136147 = V099278. assign V980345 = V054163 - 1. assign V642506 = V359573 - 1. assign V502141 = V871288. assign V020846 = V165589 - 1. assign V439997 = V525754 - 1. assign V506015 = V245991 + 1. assign V961060 = V221857 + 1. assign V111391 = V355288 - 1. assign V447452 = V423754 - 1. assign V134061 = V155726. assign V054163 = V619744 + 1. assign V902195 = V326271 + 1. assign V459926 = V267209 - 1. assign V100610 = V016429 + 1. assign V394957 = V233279 - 1. assign V684229 = V909673 + 1. assign V016429 = V745533 + 1. assign V846994 = V565882. assign V522027 = V326271. assign V904645 = V575415 + 1. assign V195251 = V026071 - 1. assign V364047 = V355156. assign V118226 = V579129 + 1. assign V332048 = V352146. assign V484874 = V404104 - 1. assign V099278 = V423754 - 1. assign V420413 = V181660 + 1. assign V881901 = V262086 - 1. assign V587682 = V943322 + 1. assign V047810 = V403490. assign V411385 = V909673 + 1. assign V053595 = V325813 - 1. assign V941084 = V290274. assign V467358 = V042009. assign V032409 = V506015 + 1. assign V350527 = V731897 - 1. assign V326271 = V520317 - 1. assign V612311 = V913822 + 1. assign V239650 = V221857 - 1. assign V791792 = V506015 - 1. assign V047536 = V014510 - 1. assign V064749 = V520317 - 1. assign V349236 = V026071. assign V819346 = V264072 - 1. assign V520317 = V119230 - 1. assign V966995 = V014498 - 1. assign V521643 = V702467. assign V499742 = V677605 - 1. assign V079472 = V014498. assign V347879 = V001189. assign V267209 = V575415 - 1. assign V482955 = V752721 + 1. assign V404104 = V643226 + 1. assign V909673 = V689179 - 1. assign V662232 = V785729. assign V824849 = V702467. assign V911553 = V731897. assign V933018 = V500658 + 1. assign V403490 = V785729 - 1. assign V913822 = V962704 + 1. assign V864567 = V910901. assign V262086 = V702467 - 1. assign V319404 = V349630. assign V272516 = V559671. assign V955097 = V568004 - 1. assign V195274 = V803449 - 1. assign V745533 = V233279. assign V548865 = V373554. assign V264072 = V689179 - 1. assign V104162 = V355156. assign V295061 = V290274 - 1. assign V355156 = V322403. assign V878169 = V044916. assign V271434 = V966692. assign V535928 = V455039 - 1. assign V931087 = V100610. assign V876255 = V749822 + 1. assign V938103 = V824849 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV393382 = 7;\n\nFrom these direct assignment(s), we have: \nV966692 = V393382 = 7;\nV271434 = V966692 = 7;\nNo other varaibles can be derived from V271434;\nV734720 = V966692 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V734720;\nV203147 = V966692 = 7;\nV322428 = V203147 = 7;\nNo other varaibles can be derived from V322428;\nNo other varaibles can be derived from V203147;\nV142308 = V966692 - 1 = 7 - 1 =6;\nV741252 = V142308 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V741252;\nNo other varaibles can be derived from V142308;\nV820597 = V966692 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V820597;\nNo other varaibles can be derived from V966692;\nV484317 = V393382 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V484317;\nNo other varaibles can be derived from V393382;\n\nNow we have done all the calculations. Derived variables are:\nV393382 = 7;\nV966692 = 7;\nV271434 = 7;\nV734720 = 6;\nV203147 = 7;\nV322428 = 7;\nV142308 = 6;\nV741252 = 5;\nV820597 = 6;\nV484317 = 6;\n\nNow we have finished this problem. ANSWER:\nV734720, V142308, V820597, V484317\n", "role": "assistant" } ]

[ "V081338", "V193531", "V510351" ]

[ { "content": "<context>\nassign V030714 = V616523 - 1. assign V512393 = V373400 - 1. assign V355746 = V066153. assign V923139 = V157329 + 1. assign V941822 = V176843. assign V950702 = V803042 + 1. assign V262087 = V790007. assign V238444 = V019800. assign V153116 = V131661. assign V591710 = V955136 - 1. assign V521567 = V817130 + 1. assign V351027 = V102155 + 1. assign V417068 = V555921 - 1. assign V829559 = V925089. assign V676101 = V526349 - 1. assign V648853 = V925089 - 1. assign V234096 = V089443. assign V880241 = V102155 + 1. assign V068755 = V950702 + 1. assign V147775 = V240299 - 1. assign V644170 = V081338 - 1. assign V448213 = V157462 - 1. assign V778654 = V138851. assign V186161 = V971085 - 1. assign V374475 = V515733 - 1. assign V134130 = V156032. assign V860036 = V111505. assign V228294 = V267151. assign V314896 = V047653 + 1. assign V497661 = V714664 - 1. assign V177138 = V289357 + 1. assign V562097 = V767327 + 1. assign V403823 = V111505 + 1. assign V165002 = V337886 + 1. assign V389442 = V049348 + 1. assign V663643 = V240299 - 1. assign V662576 = V545048 + 1. assign V310640 = V905431 - 1. assign V200157 = V636950 - 1. assign V137713 = V386395 + 1. assign V895456 = V770615 + 1. assign V790007 = V108648. assign V921934 = V228294. assign V660276 = V729215. assign V589515 = V448257. assign V714133 = V283209 - 1. assign V561620 = V193360. assign V910970 = V596242 + 1. assign V060605 = V785679. assign V875837 = V096511 - 1. assign V151423 = V157462 + 1. assign V488132 = V355746 - 1. assign V091077 = V307771. assign V762438 = V289357 + 1. assign V409027 = V448213 - 1. assign V715029 = V461373 + 1. assign V193360 = V240299. assign V895141 = V515733. assign V111505 = V809295 - 1. assign V594911 = V540297 - 1. assign V729215 = V267151 - 1. assign V373400 = V955566. assign V194897 = V462334 + 1. assign V966945 = V721941 - 1. assign V196924 = V206149 + 1. assign V487532 = V110189 - 1. assign V253350 = V718762 + 1. assign V981488 = V283209 - 1. assign V737982 = V561620 - 1. assign V870325 = V981488 + 1. assign V248997 = V790007 - 1. assign V458517 = V234096. assign V462334 = V261647. assign V767327 = V950702 + 1. assign V246640 = V193360 + 1. assign V415278 = V229076 + 1. assign V236642 = V238444 - 1. assign V120356 = V281207 + 1. assign V924709 = V500691 - 1. assign V861014 = V882972. assign V083947 = V803042 - 1. assign V434413 = V558910 + 1. assign V939919 = V955136 + 1. assign V176991 = V803042. assign V134518 = V817130. assign V876109 = V637041 - 1. assign V089443 = V778654 - 1. assign V921631 = V257311. assign V456192 = V646883 + 1. assign V328890 = V415278 + 1. assign V142040 = V147775 - 1. assign V759232 = V646964 - 1. assign V809295 = V176843 + 1. assign V907627 = V921934 + 1. assign V066153 = V714133. assign V671388 = V068755 + 1. assign V049462 = V137713 + 1. assign V649461 = V049348. assign V978197 = V157462 - 1. assign V244527 = V790712. assign V789461 = V055955 - 1. assign V637041 = V983655. assign V460026 = V767327 - 1. assign V848693 = V266628. assign V636950 = V880241 - 1. assign V193531 = V081338. assign V332797 = V448257. assign V988189 = V391385. assign V157462 = V783444 - 1. assign V971085 = V905431. assign V047653 = V783444 + 1. assign V240299 = V783444 - 1. assign V051720 = V103735 - 1. assign V555921 = V165210 + 1. assign V329683 = V718762. assign V979144 = V997294 - 1. assign V858240 = V066153 - 1. assign V157329 = V108648 - 1. assign V100013 = V177138. assign V055889 = V767327 + 1. assign V671980 = V955136 - 1. assign V488590 = V925089 + 1. assign V201770 = V789461 - 1. assign V137236 = V142040 + 1. assign V492700 = V157462. assign V922728 = V138851 + 1. assign V232295 = V815220 - 1. assign V454658 = V616523 + 1. assign V443623 = V924063 - 1. assign V253448 = V790712 - 1. assign V827761 = V684047 - 1. assign V770615 = V283209 + 1. assign V937541 = V161845 + 1. assign V558910 = V691959 - 1. assign V261647 = V714133 + 1. assign V641933 = V373400. assign V510998 = V108648 + 1. assign V162947 = V950702 + 1. assign V945118 = V518893 + 1. assign V540765 = V253350. assign V515733 = V770615 + 1. assign V108648 = V783444 - 1. assign V902271 = V030714 - 1. assign V752713 = V329683 - 1. assign V257311 = V759232 - 1. assign V156032 = V409027. assign V299109 = V680248 + 1. assign V393963 = V921175. assign V328848 = V489875 - 1. assign V882972 = V055955 + 1. assign V144998 = V778654 - 1. assign V592160 = V971085. assign V013466 = V487532. assign V276804 = V955136 - 1. assign V944694 = V698280. assign V131661 = V729215. assign V969761 = V770615. assign V939438 = V644170. assign V049348 = V971085 - 1. assign V814744 = V460026. assign V993294 = V184049 - 1. assign V706441 = V761257 - 1. assign V929968 = V338772 - 1. assign V003223 = V299109. assign V103735 = V087457 - 1. assign V797444 = V971085 + 1. assign V162027 = V488590 + 1. assign V463922 = V047653. assign V228508 = V066153 + 1. assign V595906 = V645866 - 1. assign V045498 = V790007. assign V506066 = V594911. assign V371603 = V238444 + 1. assign V843476 = V783444 + 1. assign V045818 = V176991 - 1. assign V518893 = V719969 - 1. assign V110189 = V905431 + 1. assign V429020 = V019800 + 1. assign V659606 = V355746. assign V924808 = V079311 - 1. assign V352973 = V596242 - 1. assign V048678 = V979144 + 1. assign V983655 = V093198 - 1. assign V386395 = V005249 - 1. assign V338278 = V500691. assign V181566 = V045818 + 1. assign V492909 = V540297. assign V962408 = V545048. assign V545048 = V489875. assign V905431 = V253350. assign V102155 = V515733 - 1. assign V334467 = V518893 - 1. assign V146600 = V521567. assign V975985 = V882972. assign V165210 = V177138. assign V161845 = V489875. assign V281207 = V253350. assign V889979 = V203817. assign V646916 = V718762 + 1. assign V172501 = V108648 + 1. assign V206149 = V083947 + 1. assign V299639 = V108648 - 1. assign V357620 = V176991 - 1. assign V921175 = V357620 - 1. assign V616523 = V093198 + 1. assign V577154 = V454658 - 1. assign V021558 = V790712. assign V141083 = V644170 - 1. assign V721941 = V176991 + 1. assign V500691 = V248997 - 1. assign V152172 = V616523 + 1. assign V232724 = V896780. assign V267039 = V660276 - 1. assign V825398 = V770615. assign V307771 = V373400 + 1. assign V803042 = V515733 - 1. assign V645866 = V646964. assign V252324 = V111505 + 1. assign V338772 = V019800 - 1. assign V600863 = V289357. assign V619566 = V391385 - 1. assign V446153 = V049348 - 1. assign V560726 = V700456 - 1. assign V289357 = V489875 + 1. assign V489096 = V083947 - 1. assign V646883 = V267151 - 1. assign V100567 = V131661. assign V510351 = V114385 + 1. assign V356717 = V055955 - 1. assign V391385 = V030714 - 1. assign V475207 = V193360. assign V184049 = V070787 + 1. assign V540562 = V373400 - 1. assign V761257 = V138851 - 1. assign V440026 = V103735 - 1. assign V925089 = V895456 + 1. assign V266628 = V644170 - 1. assign V473279 = V762898 + 1. assign V540297 = V783444 - 1. assign V481443 = V662576. assign V907876 = V540297. assign V782962 = V561274 - 1. assign V564812 = V489096 - 1. assign V596242 = V526349. assign V955136 = V283209 - 1. assign V498817 = V429020 + 1. assign V785679 = V351027 - 1. assign V955566 = V055955 - 1. assign V684047 = V492909 - 1. assign V680248 = V921934 - 1. assign V279408 = V594911 + 1. assign V440517 = V955566 + 1. assign V283209 = V005249 - 1. assign V250381 = V209512 + 1. assign V337886 = V489096 - 1. assign V079311 = V409027 - 1. assign V448257 = V076565 - 1. assign V093198 = V714133 + 1. assign V175810 = V785679 + 1. assign V400419 = V641933. assign V577432 = V103735. assign V257273 = V172501 - 1. assign V294220 = V355746 - 1. assign V055955 = V172501. assign V924063 = V172501 - 1. assign V762898 = V515733 - 1. assign V977883 = V100013 - 1. assign V345116 = V415278 - 1. assign V642538 = V229076. assign V733475 = V500691. assign V395132 = V391385 - 1. assign V311407 = V759232 - 1. assign V815220 = V087457 + 1. assign V176843 = V338772 + 1. assign V455497 = V257311 + 1. assign V215888 = V733475 + 1. assign V461373 = V790007 - 1. assign V445938 = V395165. assign V698280 = V229076 + 1. assign V998950 = V066153 + 1. assign V087457 = V515733 + 1. assign V296529 = V184049 + 1. assign V497579 = V488590 + 1. assign V990855 = V328848 - 1. assign V495279 = V045498 + 1. assign V700456 = V474571 + 1. assign V434433 = V922728 - 1. assign V089252 = V246640. assign V081338 = 7. assign V613285 = V596242 - 1. assign V203817 = V910970 - 1. assign V530308 = V045818. assign V550491 = V778654 - 1. assign V700240 = V236642. assign V953694 = V474571. assign V714664 = V540297. assign V665453 = V393963 + 1. assign V756950 = V785679 - 1. assign V273296 = V142040 + 1. assign V996614 = V718762 - 1. assign V601388 = V718762 + 1. assign V128010 = V415278. assign V376924 = V167119 + 1. assign V076565 = V289357 - 1. assign V005249 = V718762. assign V457700 = V176843. assign V898337 = V644170 - 1. assign V817130 = V907876 - 1. assign V946801 = V944694 - 1. assign V330566 = V267151. assign V267151 = V283209 + 1. assign V526349 = V783444. assign V336678 = V752713. assign V826708 = V391385. assign V395165 = V526349 - 1. assign V138851 = V714133 + 1. assign V117598 = V045498. assign V264918 = V815220 - 1. assign V790712 = V875837 + 1. assign V776753 = V328890. assign V715659 = V228294 - 1. assign V167119 = V409027 + 1. assign V719969 = V910970 + 1. assign V019800 = V870325. assign V099706 = V706441 - 1. assign V209512 = V790007 - 1. assign V114385 = V081338 - 1. assign V611823 = V596242 + 1. assign V070787 = V267151. assign V357982 = V922728 - 1. assign V129188 = V875837 + 1. assign V163744 = V526349. assign V646964 = V770615 + 1. assign V621755 = V971085 - 1. assign V561274 = V253350 - 1. assign V474571 = V895456. assign V075900 = V445938. assign V096511 = V770615. assign V896780 = V761257. assign V155896 = V487532 + 1. assign V551067 = V257311 - 1. assign V663930 = V676101. assign V783444 = V718762. assign V820342 = V676101. assign V997294 = V096511 - 1. assign V865163 = V803042 - 1. assign V229076 = V526349. assign V489875 = V070787 + 1. assign V639981 = V117598 - 1. assign V338028 = V814744 - 1. assign V691959 = V756950.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V030714 = V616523 - 1. assign V512393 = V373400 - 1. assign V355746 = V066153. assign V923139 = V157329 + 1. assign V941822 = V176843. assign V950702 = V803042 + 1. assign V262087 = V790007. assign V238444 = V019800. assign V153116 = V131661. assign V591710 = V955136 - 1. assign V521567 = V817130 + 1. assign V351027 = V102155 + 1. assign V417068 = V555921 - 1. assign V829559 = V925089. assign V676101 = V526349 - 1. assign V648853 = V925089 - 1. assign V234096 = V089443. assign V880241 = V102155 + 1. assign V068755 = V950702 + 1. assign V147775 = V240299 - 1. assign V644170 = V081338 - 1. assign V448213 = V157462 - 1. assign V778654 = V138851. assign V186161 = V971085 - 1. assign V374475 = V515733 - 1. assign V134130 = V156032. assign V860036 = V111505. assign V228294 = V267151. assign V314896 = V047653 + 1. assign V497661 = V714664 - 1. assign V177138 = V289357 + 1. assign V562097 = V767327 + 1. assign V403823 = V111505 + 1. assign V165002 = V337886 + 1. assign V389442 = V049348 + 1. assign V663643 = V240299 - 1. assign V662576 = V545048 + 1. assign V310640 = V905431 - 1. assign V200157 = V636950 - 1. assign V137713 = V386395 + 1. assign V895456 = V770615 + 1. assign V790007 = V108648. assign V921934 = V228294. assign V660276 = V729215. assign V589515 = V448257. assign V714133 = V283209 - 1. assign V561620 = V193360. assign V910970 = V596242 + 1. assign V060605 = V785679. assign V875837 = V096511 - 1. assign V151423 = V157462 + 1. assign V488132 = V355746 - 1. assign V091077 = V307771. assign V762438 = V289357 + 1. assign V409027 = V448213 - 1. assign V715029 = V461373 + 1. assign V193360 = V240299. assign V895141 = V515733. assign V111505 = V809295 - 1. assign V594911 = V540297 - 1. assign V729215 = V267151 - 1. assign V373400 = V955566. assign V194897 = V462334 + 1. assign V966945 = V721941 - 1. assign V196924 = V206149 + 1. assign V487532 = V110189 - 1. assign V253350 = V718762 + 1. assign V981488 = V283209 - 1. assign V737982 = V561620 - 1. assign V870325 = V981488 + 1. assign V248997 = V790007 - 1. assign V458517 = V234096. assign V462334 = V261647. assign V767327 = V950702 + 1. assign V246640 = V193360 + 1. assign V415278 = V229076 + 1. assign V236642 = V238444 - 1. assign V120356 = V281207 + 1. assign V924709 = V500691 - 1. assign V861014 = V882972. assign V083947 = V803042 - 1. assign V434413 = V558910 + 1. assign V939919 = V955136 + 1. assign V176991 = V803042. assign V134518 = V817130. assign V876109 = V637041 - 1. assign V089443 = V778654 - 1. assign V921631 = V257311. assign V456192 = V646883 + 1. assign V328890 = V415278 + 1. assign V142040 = V147775 - 1. assign V759232 = V646964 - 1. assign V809295 = V176843 + 1. assign V907627 = V921934 + 1. assign V066153 = V714133. assign V671388 = V068755 + 1. assign V049462 = V137713 + 1. assign V649461 = V049348. assign V978197 = V157462 - 1. assign V244527 = V790712. assign V789461 = V055955 - 1. assign V637041 = V983655. assign V460026 = V767327 - 1. assign V848693 = V266628. assign V636950 = V880241 - 1. assign V193531 = V081338. assign V332797 = V448257. assign V988189 = V391385. assign V157462 = V783444 - 1. assign V971085 = V905431. assign V047653 = V783444 + 1. assign V240299 = V783444 - 1. assign V051720 = V103735 - 1. assign V555921 = V165210 + 1. assign V329683 = V718762. assign V979144 = V997294 - 1. assign V858240 = V066153 - 1. assign V157329 = V108648 - 1. assign V100013 = V177138. assign V055889 = V767327 + 1. assign V671980 = V955136 - 1. assign V488590 = V925089 + 1. assign V201770 = V789461 - 1. assign V137236 = V142040 + 1. assign V492700 = V157462. assign V922728 = V138851 + 1. assign V232295 = V815220 - 1. assign V454658 = V616523 + 1. assign V443623 = V924063 - 1. assign V253448 = V790712 - 1. assign V827761 = V684047 - 1. assign V770615 = V283209 + 1. assign V937541 = V161845 + 1. assign V558910 = V691959 - 1. assign V261647 = V714133 + 1. assign V641933 = V373400. assign V510998 = V108648 + 1. assign V162947 = V950702 + 1. assign V945118 = V518893 + 1. assign V540765 = V253350. assign V515733 = V770615 + 1. assign V108648 = V783444 - 1. assign V902271 = V030714 - 1. assign V752713 = V329683 - 1. assign V257311 = V759232 - 1. assign V156032 = V409027. assign V299109 = V680248 + 1. assign V393963 = V921175. assign V328848 = V489875 - 1. assign V882972 = V055955 + 1. assign V144998 = V778654 - 1. assign V592160 = V971085. assign V013466 = V487532. assign V276804 = V955136 - 1. assign V944694 = V698280. assign V131661 = V729215. assign V969761 = V770615. assign V939438 = V644170. assign V049348 = V971085 - 1. assign V814744 = V460026. assign V993294 = V184049 - 1. assign V706441 = V761257 - 1. assign V929968 = V338772 - 1. assign V003223 = V299109. assign V103735 = V087457 - 1. assign V797444 = V971085 + 1. assign V162027 = V488590 + 1. assign V463922 = V047653. assign V228508 = V066153 + 1. assign V595906 = V645866 - 1. assign V045498 = V790007. assign V506066 = V594911. assign V371603 = V238444 + 1. assign V843476 = V783444 + 1. assign V045818 = V176991 - 1. assign V518893 = V719969 - 1. assign V110189 = V905431 + 1. assign V429020 = V019800 + 1. assign V659606 = V355746. assign V924808 = V079311 - 1. assign V352973 = V596242 - 1. assign V048678 = V979144 + 1. assign V983655 = V093198 - 1. assign V386395 = V005249 - 1. assign V338278 = V500691. assign V181566 = V045818 + 1. assign V492909 = V540297. assign V962408 = V545048. assign V545048 = V489875. assign V905431 = V253350. assign V102155 = V515733 - 1. assign V334467 = V518893 - 1. assign V146600 = V521567. assign V975985 = V882972. assign V165210 = V177138. assign V161845 = V489875. assign V281207 = V253350. assign V889979 = V203817. assign V646916 = V718762 + 1. assign V172501 = V108648 + 1. assign V206149 = V083947 + 1. assign V299639 = V108648 - 1. assign V357620 = V176991 - 1. assign V921175 = V357620 - 1. assign V616523 = V093198 + 1. assign V577154 = V454658 - 1. assign V021558 = V790712. assign V141083 = V644170 - 1. assign V721941 = V176991 + 1. assign V500691 = V248997 - 1. assign V152172 = V616523 + 1. assign V232724 = V896780. assign V267039 = V660276 - 1. assign V825398 = V770615. assign V307771 = V373400 + 1. assign V803042 = V515733 - 1. assign V645866 = V646964. assign V252324 = V111505 + 1. assign V338772 = V019800 - 1. assign V600863 = V289357. assign V619566 = V391385 - 1. assign V446153 = V049348 - 1. assign V560726 = V700456 - 1. assign V289357 = V489875 + 1. assign V489096 = V083947 - 1. assign V646883 = V267151 - 1. assign V100567 = V131661. assign V510351 = V114385 + 1. assign V356717 = V055955 - 1. assign V391385 = V030714 - 1. assign V475207 = V193360. assign V184049 = V070787 + 1. assign V540562 = V373400 - 1. assign V761257 = V138851 - 1. assign V440026 = V103735 - 1. assign V925089 = V895456 + 1. assign V266628 = V644170 - 1. assign V473279 = V762898 + 1. assign V540297 = V783444 - 1. assign V481443 = V662576. assign V907876 = V540297. assign V782962 = V561274 - 1. assign V564812 = V489096 - 1. assign V596242 = V526349. assign V955136 = V283209 - 1. assign V498817 = V429020 + 1. assign V785679 = V351027 - 1. assign V955566 = V055955 - 1. assign V684047 = V492909 - 1. assign V680248 = V921934 - 1. assign V279408 = V594911 + 1. assign V440517 = V955566 + 1. assign V283209 = V005249 - 1. assign V250381 = V209512 + 1. assign V337886 = V489096 - 1. assign V079311 = V409027 - 1. assign V448257 = V076565 - 1. assign V093198 = V714133 + 1. assign V175810 = V785679 + 1. assign V400419 = V641933. assign V577432 = V103735. assign V257273 = V172501 - 1. assign V294220 = V355746 - 1. assign V055955 = V172501. assign V924063 = V172501 - 1. assign V762898 = V515733 - 1. assign V977883 = V100013 - 1. assign V345116 = V415278 - 1. assign V642538 = V229076. assign V733475 = V500691. assign V395132 = V391385 - 1. assign V311407 = V759232 - 1. assign V815220 = V087457 + 1. assign V176843 = V338772 + 1. assign V455497 = V257311 + 1. assign V215888 = V733475 + 1. assign V461373 = V790007 - 1. assign V445938 = V395165. assign V698280 = V229076 + 1. assign V998950 = V066153 + 1. assign V087457 = V515733 + 1. assign V296529 = V184049 + 1. assign V497579 = V488590 + 1. assign V990855 = V328848 - 1. assign V495279 = V045498 + 1. assign V700456 = V474571 + 1. assign V434433 = V922728 - 1. assign V089252 = V246640. assign V081338 = 7. assign V613285 = V596242 - 1. assign V203817 = V910970 - 1. assign V530308 = V045818. assign V550491 = V778654 - 1. assign V700240 = V236642. assign V953694 = V474571. assign V714664 = V540297. assign V665453 = V393963 + 1. assign V756950 = V785679 - 1. assign V273296 = V142040 + 1. assign V996614 = V718762 - 1. assign V601388 = V718762 + 1. assign V128010 = V415278. assign V376924 = V167119 + 1. assign V076565 = V289357 - 1. assign V005249 = V718762. assign V457700 = V176843. assign V898337 = V644170 - 1. assign V817130 = V907876 - 1. assign V946801 = V944694 - 1. assign V330566 = V267151. assign V267151 = V283209 + 1. assign V526349 = V783444. assign V336678 = V752713. assign V826708 = V391385. assign V395165 = V526349 - 1. assign V138851 = V714133 + 1. assign V117598 = V045498. assign V264918 = V815220 - 1. assign V790712 = V875837 + 1. assign V776753 = V328890. assign V715659 = V228294 - 1. assign V167119 = V409027 + 1. assign V719969 = V910970 + 1. assign V019800 = V870325. assign V099706 = V706441 - 1. assign V209512 = V790007 - 1. assign V114385 = V081338 - 1. assign V611823 = V596242 + 1. assign V070787 = V267151. assign V357982 = V922728 - 1. assign V129188 = V875837 + 1. assign V163744 = V526349. assign V646964 = V770615 + 1. assign V621755 = V971085 - 1. assign V561274 = V253350 - 1. assign V474571 = V895456. assign V075900 = V445938. assign V096511 = V770615. assign V896780 = V761257. assign V155896 = V487532 + 1. assign V551067 = V257311 - 1. assign V663930 = V676101. assign V783444 = V718762. assign V820342 = V676101. assign V997294 = V096511 - 1. assign V865163 = V803042 - 1. assign V229076 = V526349. assign V489875 = V070787 + 1. assign V639981 = V117598 - 1. assign V338028 = V814744 - 1. assign V691959 = V756950.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV081338 = 7;\n\nFrom these direct assignment(s), we have: \nV114385 = V081338 - 1 = 7 - 1 =6;\nV510351 = V114385 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V510351;\nNo other varaibles can be derived from V114385;\nV193531 = V081338 = 7;\nNo other varaibles can be derived from V193531;\nV644170 = V081338 - 1 = 7 - 1 =6;\nV898337 = V644170 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V898337;\nV266628 = V644170 - 1 = 6 - 1 =5;\nV848693 = V266628 = 5;\nNo other varaibles can be derived from V848693;\nNo other varaibles can be derived from V266628;\nV141083 = V644170 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V141083;\nV939438 = V644170 = 6;\nNo other varaibles can be derived from V939438;\nNo other varaibles can be derived from V644170;\nNo other varaibles can be derived from V081338;\n\nNow we have done all the calculations. Derived variables are:\nV081338 = 7;\nV114385 = 6;\nV510351 = 7;\nV193531 = 7;\nV644170 = 6;\nV898337 = 5;\nV266628 = 5;\nV848693 = 5;\nV141083 = 5;\nV939438 = 6;\n\nNow we have finished this problem. ANSWER:\nV081338, V510351, V193531\n", "role": "assistant" } ]

[ "V011216", "V123292", "V296872", "V593515", "V200337", "V951178" ]

[ { "content": "<context>\nassign V658511 = V869207 - 1. assign V270523 = V128630 + 1. assign V669105 = V644269. assign V710986 = V684751. assign V825513 = V346975 - 1. assign V514803 = V535681 - 1. assign V577264 = V263547. assign V765644 = V307779 + 1. assign V395627 = V753685. assign V227086 = V486655. assign V642657 = V838317 + 1. assign V809802 = V539343 + 1. assign V187790 = V487128 + 1. assign V423178 = V121545 + 1. assign V070458 = V116456 - 1. assign V131454 = V717254 + 1. assign V073543 = V717254 - 1. assign V790399 = V269876. assign V062731 = V658511 - 1. assign V011465 = V556672 - 1. assign V315151 = V160626 + 1. assign V869101 = V346975 - 1. assign V160626 = V595253 - 1. assign V245409 = V118002 + 1. assign V346253 = V423178 + 1. assign V158072 = V533342 + 1. assign V594292 = V595253 + 1. assign V506460 = V272985 - 1. assign V272985 = V223559 + 1. assign V080740 = V017427 - 1. assign V351504 = V918901 - 1. assign V899420 = V710986 - 1. assign V260417 = V578861 + 1. assign V486655 = V530253 - 1. assign V750955 = V545699 + 1. assign V346975 = V428593 - 1. assign V039360 = V496339 - 1. assign V530253 = V825513 + 1. assign V478839 = V660136 - 1. assign V249901 = V083826 + 1. assign V284723 = V644895. assign V483003 = V330977 + 1. assign V714992 = V423178 + 1. assign V387667 = V112567. assign V225154 = V112567. assign V310268 = V825513 + 1. assign V590392 = V180816 + 1. assign V991712 = V530253 + 1. assign V734073 = V680931. assign V963663 = V595253 + 1. assign V269876 = V172727 - 1. assign V556049 = V503631. assign V937383 = V310268 + 1. assign V956397 = V746687. assign V684750 = V937383 + 1. assign V588979 = V734073. assign V819990 = V180816. assign V035909 = V584542 - 1. assign V994579 = V969683 - 1. assign V578861 = V038778 + 1. assign V363150 = V077181 - 1. assign V312564 = V128630. assign V644895 = V338188. assign V480015 = V077181 - 1. assign V796651 = V662378. assign V017427 = V197794. assign V529559 = V781227. assign V110877 = V740217 - 1. assign V815777 = V972003 + 1. assign V596919 = V590392 - 1. assign V967100 = V346975. assign V975691 = V680567. assign V296872 = V011216. assign V667078 = V110592 - 1. assign V991071 = V996303 + 1. assign V645718 = V310268 + 1. assign V110324 = V346253. assign V660884 = V118002 - 1. assign V670547 = V597086. assign V556025 = V090967 - 1. assign V918901 = V534769 + 1. assign V838317 = V486592. assign V276416 = V588979. assign V024287 = V201786. assign V523357 = V707344 + 1. assign V388350 = V428593 - 1. assign V683476 = V680931 + 1. assign V597086 = V723735. assign V514721 = V839570 + 1. assign V677531 = V123292 + 1. assign V054147 = V307779 + 1. assign V812227 = V839570 + 1. assign V434143 = V707344. assign V065821 = V225154 + 1. assign V562547 = V819575 + 1. assign V201786 = V387667 + 1. assign V347092 = V180816 - 1. assign V871864 = V680567 - 1. assign V262826 = V201786 - 1. assign V011216 = 1. assign V263547 = V514803 - 1. assign V172727 = V338188. assign V729252 = V112567. assign V208080 = V865405 + 1. assign V590215 = V386285 - 1. assign V967166 = V644895 + 1. assign V977234 = V991712 - 1. assign V771357 = V770840 - 1. assign V416666 = V476518. assign V998947 = V331663 + 1. assign V822946 = V112567. assign V326529 = V208080 + 1. assign V032749 = V723735 - 1. assign V533342 = V112567. assign V534769 = V259406 - 1. assign V727113 = V315151. assign V975201 = V597086 - 1. assign V015903 = V578861 + 1. assign V778897 = V363150 + 1. assign V867552 = V425920 + 1. assign V674389 = V763254 - 1. assign V093372 = V991745. assign V245398 = V011860. assign V979647 = V415532 + 1. assign V104954 = V943986 + 1. assign V871551 = V684166. assign V681651 = V595253 - 1. assign V110592 = V740249. assign V038778 = V729252. assign V584542 = V386285 + 1. assign V186088 = V588979 - 1. assign V373036 = V131454 - 1. assign V170971 = V535681 + 1. assign V037429 = V112567 - 1. assign V740445 = V351504 - 1. assign V116456 = V602416 - 1. assign V102738 = V597086 + 1. assign V991745 = V729252 + 1. assign V426783 = V832971. assign V326709 = V426783. assign V259406 = V595253. assign V026601 = V898538 + 1. assign V990590 = V486655 + 1. assign V197794 = V683476. assign V384010 = V376692. assign V383604 = V658511 - 1. assign V318992 = V011860 + 1. assign V889999 = V988287. assign V556672 = V590215 - 1. assign V117760 = V346253 - 1. assign V611297 = V595253 + 1. assign V496271 = V937383 + 1. assign V852960 = V556672. assign V697250 = V486655 + 1. assign V746687 = V491576 + 1. assign V080155 = V684750 - 1. assign V223559 = V684751 + 1. assign V539343 = V680931 + 1. assign V364558 = V688124 - 1. assign V873143 = V739434. assign V680931 = V644269. assign V250740 = V160626. assign V112567 = V680567. assign V742930 = V180816 + 1. assign V435501 = V346975 + 1. assign V209906 = V562547 - 1. assign V487128 = V383604 + 1. assign V911360 = V595253. assign V458347 = V832971 - 1. assign V486592 = V595253 + 1. assign V644269 = V346975 - 1. assign V338188 = V428593 - 1. assign V903640 = V024287 - 1. assign V972003 = V496271. assign V496339 = V473835 - 1. assign V680933 = V514803. assign V662378 = V888891 - 1. assign V602416 = V486592 - 1. assign V123292 = V011216. assign V884735 = V790399 - 1. assign V543511 = V529841 - 1. assign V869207 = V534769 + 1. assign V665052 = V819990 + 1. assign V740249 = V903640 - 1. assign V089368 = V744070. assign V079965 = V263547 - 1. assign V097329 = V026601 + 1. assign V291944 = V937383. assign V730321 = V316448 - 1. assign V904029 = V911405. assign V869581 = V518456 + 1. assign V513050 = V011860 - 1. assign V688124 = V979647 - 1. assign V790768 = V104954. assign V169073 = V991745 - 1. assign V138764 = V199035 + 1. assign V127670 = V456194. assign V675161 = V690829. assign V173352 = V975691. assign V290951 = V674389. assign V723735 = V898538 + 1. assign V364989 = V121545 - 1. assign V996303 = V642657. assign V839836 = V259406 + 1. assign V094283 = V187790. assign V889964 = V869101. assign V661706 = V871551 + 1. assign V721744 = V790399 + 1. assign V171830 = V026601. assign V537979 = V723735 + 1. assign V685192 = V514803 + 1. assign V888891 = V121545 - 1. assign V249819 = V187790 - 1. assign V428593 = V259406. assign V180745 = V476518 - 1. assign V336368 = V889999. assign V911405 = V172727 - 1. assign V769681 = V761282 - 1. assign V690829 = V347092 - 1. assign V386285 = V346975 - 1. assign V744070 = V312564 - 1. assign V782351 = V496271 + 1. assign V300577 = V026601 + 1. assign V331663 = V533342 - 1. assign V988287 = V310268. assign V491576 = V039360. assign V529841 = V590392. assign V593515 = V296872. assign V256771 = V506460 - 1. assign V456194 = V346788 + 1. assign V680567 = V595253 + 1. assign V776039 = V584542 - 1. assign V516738 = V994579 - 1. assign V795834 = V734073 + 1. assign V509867 = V911360. assign V769088 = V903640 - 1. assign V383049 = V611297 - 1. assign V832971 = V611297. assign V328460 = V128630. assign V865405 = V584542 + 1. assign V751487 = V338188 + 1. assign V968335 = V899420. assign V814952 = V660884. assign V545699 = V675161 + 1. assign V476518 = V532767 - 1. assign V307779 = V180816 + 1. assign V330977 = V723735 + 1. assign V412202 = V931244 + 1. assign V833885 = V776039. assign V826155 = V710986 - 1. assign V376692 = V832971 + 1. assign V090967 = V740249 - 1. assign V162197 = V988287. assign V471982 = V116456 + 1. assign V333529 = V310268. assign V958356 = V669105. assign V735430 = V395627 + 1. assign V503631 = V662378 + 1. assign V428190 = V822946 + 1. assign V951178 = V200337. assign V770204 = V584542 - 1. assign V684166 = V223559 - 1. assign V179581 = V825513 + 1. assign V235510 = V057806 - 1. assign V943986 = V172727 + 1. assign V152936 = V503631. assign V316448 = V943986 - 1. assign V573829 = V245398 + 1. assign V954274 = V680567. assign V255613 = V911405. assign V121545 = V825513 + 1. assign V415532 = V172727 + 1. assign V108530 = V898538. assign V346788 = V594292 - 1. assign V714733 = V218206 - 1. assign V255525 = V116456. assign V199035 = V108530. assign V047379 = V680931. assign V740217 = V683476 - 1. assign V968468 = V869207 - 1. assign V200337 = V296872. assign V986688 = V782351. assign V255196 = V978222. assign V057806 = V263547 + 1. assign V739434 = V740445. assign V268194 = V556672 - 1. assign V535681 = V259406 + 1. assign V544150 = V669105 + 1. assign V180816 = V535681 + 1. assign V761282 = V577264. assign V536136 = V530253 - 1. assign V366948 = V734073 - 1. assign V285177 = V011259. assign V075769 = V208080. assign V414339 = V026601 + 1. assign V758838 = V054147 + 1. assign V489342 = V506460. assign V910417 = V898282 - 1. assign V770840 = V590215 + 1. assign V730155 = V952493 - 1. assign V006966 = V339255 + 1. assign V963406 = V684751. assign V683281 = V197794 - 1. assign V839570 = V937383 + 1. assign V898282 = V011216 - 1. assign V532767 = V011465 - 1. assign V014104 = V073543 + 1. assign V881267 = V269876 + 1. assign V362577 = V753685. assign V077181 = V931244 - 1. assign V351962 = V578861. assign V145419 = V346975 + 1. assign V834924 = V428593 - 1. assign V717254 = V642657. assign V770068 = V986688. assign V781227 = V259406. assign V898538 = V128630 + 1. assign V152761 = V958356. assign V978222 = V662378 - 1. assign V126058 = V991745 + 1. assign V763254 = V171830. assign V969683 = V918901. assign V218206 = V931244 - 1. assign V952493 = V684751 - 1. assign V473835 = V201786 - 1. assign V035937 = V489342 + 1. assign V518456 = V979647 - 1. assign V660136 = V284723 + 1. assign V707344 = V644269 - 1. assign V856562 = V539343. assign V050278 = V977234 + 1. assign V508098 = V943986. assign V753685 = V680567 + 1. assign V083826 = V734073 - 1. assign V788997 = V200337 - 1. assign V793451 = V073543 + 1. assign V684751 = V838317 + 1. assign V011259 = V395627 - 1. assign V515627 = V415532 + 1. assign V339255 = V223559 + 1. assign V956887 = V943986 + 1. assign V425920 = V160626 - 1. assign V024863 = V128630 + 1. assign V819575 = V218206 - 1. assign V335944 = V884735. assign V118002 = V532767 - 1. assign V128630 = V180816. assign V011860 = V423178. assign V931244 = V160626 + 1. assign V173000 = V839570 - 1. assign V092027 = V276416 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V658511 = V869207 - 1. assign V270523 = V128630 + 1. assign V669105 = V644269. assign V710986 = V684751. assign V825513 = V346975 - 1. assign V514803 = V535681 - 1. assign V577264 = V263547. assign V765644 = V307779 + 1. assign V395627 = V753685. assign V227086 = V486655. assign V642657 = V838317 + 1. assign V809802 = V539343 + 1. assign V187790 = V487128 + 1. assign V423178 = V121545 + 1. assign V070458 = V116456 - 1. assign V131454 = V717254 + 1. assign V073543 = V717254 - 1. assign V790399 = V269876. assign V062731 = V658511 - 1. assign V011465 = V556672 - 1. assign V315151 = V160626 + 1. assign V869101 = V346975 - 1. assign V160626 = V595253 - 1. assign V245409 = V118002 + 1. assign V346253 = V423178 + 1. assign V158072 = V533342 + 1. assign V594292 = V595253 + 1. assign V506460 = V272985 - 1. assign V272985 = V223559 + 1. assign V080740 = V017427 - 1. assign V351504 = V918901 - 1. assign V899420 = V710986 - 1. assign V260417 = V578861 + 1. assign V486655 = V530253 - 1. assign V750955 = V545699 + 1. assign V346975 = V428593 - 1. assign V039360 = V496339 - 1. assign V530253 = V825513 + 1. assign V478839 = V660136 - 1. assign V249901 = V083826 + 1. assign V284723 = V644895. assign V483003 = V330977 + 1. assign V714992 = V423178 + 1. assign V387667 = V112567. assign V225154 = V112567. assign V310268 = V825513 + 1. assign V590392 = V180816 + 1. assign V991712 = V530253 + 1. assign V734073 = V680931. assign V963663 = V595253 + 1. assign V269876 = V172727 - 1. assign V556049 = V503631. assign V937383 = V310268 + 1. assign V956397 = V746687. assign V684750 = V937383 + 1. assign V588979 = V734073. assign V819990 = V180816. assign V035909 = V584542 - 1. assign V994579 = V969683 - 1. assign V578861 = V038778 + 1. assign V363150 = V077181 - 1. assign V312564 = V128630. assign V644895 = V338188. assign V480015 = V077181 - 1. assign V796651 = V662378. assign V017427 = V197794. assign V529559 = V781227. assign V110877 = V740217 - 1. assign V815777 = V972003 + 1. assign V596919 = V590392 - 1. assign V967100 = V346975. assign V975691 = V680567. assign V296872 = V011216. assign V667078 = V110592 - 1. assign V991071 = V996303 + 1. assign V645718 = V310268 + 1. assign V110324 = V346253. assign V660884 = V118002 - 1. assign V670547 = V597086. assign V556025 = V090967 - 1. assign V918901 = V534769 + 1. assign V838317 = V486592. assign V276416 = V588979. assign V024287 = V201786. assign V523357 = V707344 + 1. assign V388350 = V428593 - 1. assign V683476 = V680931 + 1. assign V597086 = V723735. assign V514721 = V839570 + 1. assign V677531 = V123292 + 1. assign V054147 = V307779 + 1. assign V812227 = V839570 + 1. assign V434143 = V707344. assign V065821 = V225154 + 1. assign V562547 = V819575 + 1. assign V201786 = V387667 + 1. assign V347092 = V180816 - 1. assign V871864 = V680567 - 1. assign V262826 = V201786 - 1. assign V011216 = 1. assign V263547 = V514803 - 1. assign V172727 = V338188. assign V729252 = V112567. assign V208080 = V865405 + 1. assign V590215 = V386285 - 1. assign V967166 = V644895 + 1. assign V977234 = V991712 - 1. assign V771357 = V770840 - 1. assign V416666 = V476518. assign V998947 = V331663 + 1. assign V822946 = V112567. assign V326529 = V208080 + 1. assign V032749 = V723735 - 1. assign V533342 = V112567. assign V534769 = V259406 - 1. assign V727113 = V315151. assign V975201 = V597086 - 1. assign V015903 = V578861 + 1. assign V778897 = V363150 + 1. assign V867552 = V425920 + 1. assign V674389 = V763254 - 1. assign V093372 = V991745. assign V245398 = V011860. assign V979647 = V415532 + 1. assign V104954 = V943986 + 1. assign V871551 = V684166. assign V681651 = V595253 - 1. assign V110592 = V740249. assign V038778 = V729252. assign V584542 = V386285 + 1. assign V186088 = V588979 - 1. assign V373036 = V131454 - 1. assign V170971 = V535681 + 1. assign V037429 = V112567 - 1. assign V740445 = V351504 - 1. assign V116456 = V602416 - 1. assign V102738 = V597086 + 1. assign V991745 = V729252 + 1. assign V426783 = V832971. assign V326709 = V426783. assign V259406 = V595253. assign V026601 = V898538 + 1. assign V990590 = V486655 + 1. assign V197794 = V683476. assign V384010 = V376692. assign V383604 = V658511 - 1. assign V318992 = V011860 + 1. assign V889999 = V988287. assign V556672 = V590215 - 1. assign V117760 = V346253 - 1. assign V611297 = V595253 + 1. assign V496271 = V937383 + 1. assign V852960 = V556672. assign V697250 = V486655 + 1. assign V746687 = V491576 + 1. assign V080155 = V684750 - 1. assign V223559 = V684751 + 1. assign V539343 = V680931 + 1. assign V364558 = V688124 - 1. assign V873143 = V739434. assign V680931 = V644269. assign V250740 = V160626. assign V112567 = V680567. assign V742930 = V180816 + 1. assign V435501 = V346975 + 1. assign V209906 = V562547 - 1. assign V487128 = V383604 + 1. assign V911360 = V595253. assign V458347 = V832971 - 1. assign V486592 = V595253 + 1. assign V644269 = V346975 - 1. assign V338188 = V428593 - 1. assign V903640 = V024287 - 1. assign V972003 = V496271. assign V496339 = V473835 - 1. assign V680933 = V514803. assign V662378 = V888891 - 1. assign V602416 = V486592 - 1. assign V123292 = V011216. assign V884735 = V790399 - 1. assign V543511 = V529841 - 1. assign V869207 = V534769 + 1. assign V665052 = V819990 + 1. assign V740249 = V903640 - 1. assign V089368 = V744070. assign V079965 = V263547 - 1. assign V097329 = V026601 + 1. assign V291944 = V937383. assign V730321 = V316448 - 1. assign V904029 = V911405. assign V869581 = V518456 + 1. assign V513050 = V011860 - 1. assign V688124 = V979647 - 1. assign V790768 = V104954. assign V169073 = V991745 - 1. assign V138764 = V199035 + 1. assign V127670 = V456194. assign V675161 = V690829. assign V173352 = V975691. assign V290951 = V674389. assign V723735 = V898538 + 1. assign V364989 = V121545 - 1. assign V996303 = V642657. assign V839836 = V259406 + 1. assign V094283 = V187790. assign V889964 = V869101. assign V661706 = V871551 + 1. assign V721744 = V790399 + 1. assign V171830 = V026601. assign V537979 = V723735 + 1. assign V685192 = V514803 + 1. assign V888891 = V121545 - 1. assign V249819 = V187790 - 1. assign V428593 = V259406. assign V180745 = V476518 - 1. assign V336368 = V889999. assign V911405 = V172727 - 1. assign V769681 = V761282 - 1. assign V690829 = V347092 - 1. assign V386285 = V346975 - 1. assign V744070 = V312564 - 1. assign V782351 = V496271 + 1. assign V300577 = V026601 + 1. assign V331663 = V533342 - 1. assign V988287 = V310268. assign V491576 = V039360. assign V529841 = V590392. assign V593515 = V296872. assign V256771 = V506460 - 1. assign V456194 = V346788 + 1. assign V680567 = V595253 + 1. assign V776039 = V584542 - 1. assign V516738 = V994579 - 1. assign V795834 = V734073 + 1. assign V509867 = V911360. assign V769088 = V903640 - 1. assign V383049 = V611297 - 1. assign V832971 = V611297. assign V328460 = V128630. assign V865405 = V584542 + 1. assign V751487 = V338188 + 1. assign V968335 = V899420. assign V814952 = V660884. assign V545699 = V675161 + 1. assign V476518 = V532767 - 1. assign V307779 = V180816 + 1. assign V330977 = V723735 + 1. assign V412202 = V931244 + 1. assign V833885 = V776039. assign V826155 = V710986 - 1. assign V376692 = V832971 + 1. assign V090967 = V740249 - 1. assign V162197 = V988287. assign V471982 = V116456 + 1. assign V333529 = V310268. assign V958356 = V669105. assign V735430 = V395627 + 1. assign V503631 = V662378 + 1. assign V428190 = V822946 + 1. assign V951178 = V200337. assign V770204 = V584542 - 1. assign V684166 = V223559 - 1. assign V179581 = V825513 + 1. assign V235510 = V057806 - 1. assign V943986 = V172727 + 1. assign V152936 = V503631. assign V316448 = V943986 - 1. assign V573829 = V245398 + 1. assign V954274 = V680567. assign V255613 = V911405. assign V121545 = V825513 + 1. assign V415532 = V172727 + 1. assign V108530 = V898538. assign V346788 = V594292 - 1. assign V714733 = V218206 - 1. assign V255525 = V116456. assign V199035 = V108530. assign V047379 = V680931. assign V740217 = V683476 - 1. assign V968468 = V869207 - 1. assign V200337 = V296872. assign V986688 = V782351. assign V255196 = V978222. assign V057806 = V263547 + 1. assign V739434 = V740445. assign V268194 = V556672 - 1. assign V535681 = V259406 + 1. assign V544150 = V669105 + 1. assign V180816 = V535681 + 1. assign V761282 = V577264. assign V536136 = V530253 - 1. assign V366948 = V734073 - 1. assign V285177 = V011259. assign V075769 = V208080. assign V414339 = V026601 + 1. assign V758838 = V054147 + 1. assign V489342 = V506460. assign V910417 = V898282 - 1. assign V770840 = V590215 + 1. assign V730155 = V952493 - 1. assign V006966 = V339255 + 1. assign V963406 = V684751. assign V683281 = V197794 - 1. assign V839570 = V937383 + 1. assign V898282 = V011216 - 1. assign V532767 = V011465 - 1. assign V014104 = V073543 + 1. assign V881267 = V269876 + 1. assign V362577 = V753685. assign V077181 = V931244 - 1. assign V351962 = V578861. assign V145419 = V346975 + 1. assign V834924 = V428593 - 1. assign V717254 = V642657. assign V770068 = V986688. assign V781227 = V259406. assign V898538 = V128630 + 1. assign V152761 = V958356. assign V978222 = V662378 - 1. assign V126058 = V991745 + 1. assign V763254 = V171830. assign V969683 = V918901. assign V218206 = V931244 - 1. assign V952493 = V684751 - 1. assign V473835 = V201786 - 1. assign V035937 = V489342 + 1. assign V518456 = V979647 - 1. assign V660136 = V284723 + 1. assign V707344 = V644269 - 1. assign V856562 = V539343. assign V050278 = V977234 + 1. assign V508098 = V943986. assign V753685 = V680567 + 1. assign V083826 = V734073 - 1. assign V788997 = V200337 - 1. assign V793451 = V073543 + 1. assign V684751 = V838317 + 1. assign V011259 = V395627 - 1. assign V515627 = V415532 + 1. assign V339255 = V223559 + 1. assign V956887 = V943986 + 1. assign V425920 = V160626 - 1. assign V024863 = V128630 + 1. assign V819575 = V218206 - 1. assign V335944 = V884735. assign V118002 = V532767 - 1. assign V128630 = V180816. assign V011860 = V423178. assign V931244 = V160626 + 1. assign V173000 = V839570 - 1. assign V092027 = V276416 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV011216 = 1;\n\nFrom these direct assignment(s), we have: \nV898282 = V011216 - 1 = 1 - 1 =0;\nV910417 = V898282 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V910417;\nNo other varaibles can be derived from V898282;\nV123292 = V011216 = 1;\nV677531 = V123292 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V677531;\nNo other varaibles can be derived from V123292;\nV296872 = V011216 = 1;\nV200337 = V296872 = 1;\nV788997 = V200337 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V788997;\nV951178 = V200337 = 1;\nNo other varaibles can be derived from V951178;\nNo other varaibles can be derived from V200337;\nV593515 = V296872 = 1;\nNo other varaibles can be derived from V593515;\nNo other varaibles can be derived from V296872;\nNo other varaibles can be derived from V011216;\n\nNow we have done all the calculations. Derived variables are:\nV011216 = 1;\nV898282 = 0;\nV910417 = -1;\nV123292 = 1;\nV677531 = 2;\nV296872 = 1;\nV200337 = 1;\nV788997 = 0;\nV951178 = 1;\nV593515 = 1;\n\nNow we have finished this problem. ANSWER:\nV011216, V123292, V296872, V200337, V951178, V593515\n", "role": "assistant" } ]

[ "V556977", "V935283" ]

[ { "content": "<context>\nassign V830255 = V375741 + 1. assign V170394 = V113230 - 1. assign V077080 = V737128. assign V300017 = V742301 - 1. assign V159426 = V470274 - 1. assign V928800 = V086977 - 1. assign V936964 = V024675 + 1. assign V994274 = V758116 - 1. assign V470274 = V732729 - 1. assign V277802 = V846129 + 1. assign V110668 = V375741 + 1. assign V394780 = V121440 - 1. assign V579644 = V684466. assign V266329 = V253769 + 1. assign V389170 = V665938 - 1. assign V460236 = V110668. assign V672259 = V737578. assign V133889 = V634461 - 1. assign V600626 = V862672. assign V617972 = V915842 + 1. assign V899282 = V858732 + 1. assign V766800 = V576977 + 1. assign V856173 = V936964 + 1. assign V753497 = V203757 + 1. assign V328179 = V857473. assign V906147 = V155953. assign V913499 = V471234 + 1. assign V656716 = V299060 - 1. assign V996634 = V310575 + 1. assign V766810 = V110668 + 1. assign V086430 = V619926 - 1. assign V804947 = V456408. assign V222170 = V544428 - 1. assign V604039 = V818832. assign V305400 = V652796 + 1. assign V760866 = V830752 - 1. assign V749709 = V733015 - 1. assign V998153 = V192705 - 1. assign V350264 = V323147 + 1. assign V858732 = V277177 + 1. assign V689468 = V470915. assign V704354 = V742301. assign V912394 = V576977 - 1. assign V690510 = V086977 - 1. assign V915842 = V299060. assign V326288 = V086977. assign V900025 = V350181 + 1. assign V492310 = V407178. assign V407178 = V350181 + 1. assign V338297 = V643120 - 1. assign V642604 = V643120. assign V800573 = V192705 - 1. assign V627943 = V093337 - 1. assign V277177 = V576977. assign V243477 = V737578 - 1. assign V556977 = V504358 - 1. assign V297307 = V842475 + 1. assign V307251 = V931960 - 1. assign V453462 = V350181. assign V698104 = V179383 - 1. assign V340314 = V760866 - 1. assign V884372 = V385688. assign V380640 = V099257 - 1. assign V695429 = V492310. assign V466131 = V003257. assign V603696 = V203757 - 1. assign V205884 = V856709 - 1. assign V824530 = V684466. assign V343529 = V544428 + 1. assign V510251 = V193799 + 1. assign V088253 = V417483. assign V831258 = V050254. assign V205970 = V489592. assign V951577 = V656716. assign V811704 = V309207. assign V584348 = V288775. assign V186509 = V556977 - 1. assign V288775 = V913499 - 1. assign V898299 = V051766 - 1. assign V287684 = V830752 - 1. assign V491144 = V899282 + 1. assign V037533 = V634461. assign V549188 = V323147 + 1. assign V593569 = V024675 - 1. assign V948414 = V691017. assign V905524 = V884372 + 1. assign V606200 = V818832 - 1. assign V323147 = V277802 - 1. assign V640629 = V695429 + 1. assign V363739 = V292698 - 1. assign V870175 = V037533 + 1. assign V927393 = V214717 - 1. assign V651308 = V165550 + 1. assign V228440 = V243477 + 1. assign V032837 = V192705. assign V470915 = V198839 - 1. assign V665938 = V350181. assign V856709 = V186509. assign V842475 = V285642 + 1. assign V783835 = V490892. assign V915710 = V579644 + 1. assign V929613 = V758116 + 1. assign V742301 = V899282. assign V671170 = V072400. assign V292698 = V277177 + 1. assign V362216 = V155953 + 1. assign V229107 = V364998 + 1. assign V099257 = V753725 - 1. assign V196761 = V138612. assign V943118 = V517543. assign V707316 = V726309 + 1. assign V711913 = V375741. assign V862672 = V576977. assign V294837 = V456408 - 1. assign V388419 = V414225 - 1. assign V371621 = V643120. assign V206894 = V159946 + 1. assign V455752 = V600626. assign V115962 = V758116. assign V285642 = V917534 - 1. assign V109273 = V690215. assign V381836 = V606200. assign V089110 = V829308 - 1. assign V604274 = V991097. assign V054531 = V115962 - 1. assign V710501 = V470274 - 1. assign V217493 = V285642 + 1. assign V503682 = V067116 + 1. assign V414225 = V593569 + 1. assign V576977 = V846129 - 1. assign V516217 = V900025. assign V083260 = V110668 - 1. assign V015808 = V815826 + 1. assign V825112 = V364998. assign V627550 = V086977. assign V517543 = V684466 + 1. assign V775848 = V196365 + 1. assign V477937 = V301550. assign V192705 = V203757. assign V283959 = V161241 + 1. assign V725055 = V288775 + 1. assign V066197 = V292698. assign V678905 = V133889. assign V257353 = V253769 + 1. assign V414552 = V824530. assign V339515 = V675343 + 1. assign V309207 = V203757 - 1. assign V096235 = V072531 + 1. assign V717837 = V665938 + 1. assign V720421 = V842475. assign V820188 = V737578. assign V117281 = V831258 - 1. assign V877983 = V287684 - 1. assign V686041 = V394780. assign V726116 = V665938 + 1. assign V680787 = V455752 - 1. assign V634461 = V811589. assign V009654 = V759410 - 1. assign V772222 = V854043. assign V662078 = V150506. assign V818257 = V516217 + 1. assign V196365 = V492310. assign V050254 = V371558 + 1. assign V829308 = V800573 - 1. assign V813716 = V697635. assign V417483 = V517543 - 1. assign V280412 = V818832 - 1. assign V143117 = V830752 + 1. assign V898579 = V646268 + 1. assign V691017 = V758116 - 1. assign V284865 = V124166 - 1. assign V931960 = V309207. assign V991097 = V831258 + 1. assign V853645 = V848486. assign V147378 = V389170. assign V580078 = V270548 + 1. assign V544428 = V253769 - 1. assign V631649 = V051766 - 1. assign V512342 = V389170 + 1. assign V258930 = V217493. assign V286963 = V917534. assign V121440 = V427039 + 1. assign V350181 = V309207 - 1. assign V732729 = V576977 + 1. assign V203757 = V083260 - 1. assign V448083 = V179383 + 1. assign V753850 = V737128 + 1. assign V285981 = V697635 + 1. assign V652796 = V848486 + 1. assign V689382 = V192705 + 1. assign V308059 = V857473. assign V552280 = V470915 + 1. assign V954873 = V846129. assign V138612 = V998153. assign V991967 = V471234 + 1. assign V299060 = V862672 - 1. assign V358320 = V698104 - 1. assign V737128 = V050254. assign V844529 = V285981. assign V526082 = V054531 - 1. assign V386162 = V717837. assign V485377 = V389170. assign V497795 = V299060. assign V815826 = V600626. assign V206364 = V179383 - 1. assign V817627 = V758583 + 1. assign V698551 = V037533 + 1. assign V851061 = V340314 - 1. assign V495832 = V083260. assign V109361 = V389170 + 1. assign V748452 = V710501 + 1. assign V161241 = V285642. assign V811589 = V375741. assign V257007 = V192705 + 1. assign V463488 = V655555. assign V404720 = V943118. assign V021114 = V032837 + 1. assign V000563 = V350181. assign V646268 = V854043. assign V456408 = V811704 - 1. assign V278176 = V071804. assign V455167 = V604039 + 1. assign V023551 = V811704 + 1. assign V833237 = V358320 + 1. assign V095430 = V900025. assign V684466 = V192705. assign V585697 = V414552. assign V364998 = V606200. assign V261755 = V858732 - 1. assign V759068 = V315163 - 1. assign V159946 = V862672 + 1. assign V982172 = V855840. assign V003257 = V113230. assign V834330 = V093337 + 1. assign V504358 = 0. assign V834045 = V912394 + 1. assign V917534 = V811589 + 1. assign V172271 = V870175 + 1. assign V148144 = V288775. assign V733015 = V314901 - 1. assign V551259 = V811704. assign V233563 = V050254 - 1. assign V818832 = V427039. assign V071804 = V917534 + 1. assign V913354 = V414225 - 1. assign V758583 = V051766. assign V371558 = V576977. assign V449819 = V671170. assign V830752 = V371558 - 1. assign V316091 = V675343. assign V427039 = V285642. assign V935283 = V856709 + 1. assign V383831 = V544428 + 1. assign V669172 = V672259 + 1. assign V416336 = V497795 + 1. assign V759410 = V726116 + 1. assign V329651 = V050254 + 1. assign V000638 = V327406 - 1. assign V675932 = V416336. assign V270548 = V544428. assign V327406 = V856709. assign V419522 = V072400 + 1. assign V314901 = V350181. assign V816201 = V851061 + 1. assign V348035 = V758583 + 1. assign V383807 = V675343 - 1. assign V923173 = V023551 - 1. assign V655555 = V091554 - 1. assign V846129 = V711913 - 1. assign V301550 = V314901. assign V093337 = V115962 + 1. assign V091554 = V217493 - 1. assign V041820 = V121440. assign V179383 = V846129 + 1. assign V024675 = V698104. assign V258328 = V935283 - 1. assign V451067 = V121440 - 1. assign V643120 = V455752. assign V471234 = V672259. assign V924686 = V203757 + 1. assign V239597 = V350181 - 1. assign V249375 = V072400 - 1. assign V885024 = V825112 - 1. assign V758116 = V460236 + 1. assign V841420 = V050254 - 1. assign V636654 = V485377. assign V385688 = V634461 - 1. assign V611011 = V233563 + 1. assign V697635 = V576977 - 1. assign V854043 = V848486. assign V051766 = V110668 + 1. assign V427137 = V375741 + 1. assign V578475 = V113230 + 1. assign V489592 = V833701 - 1. assign V089160 = V834330. assign V753725 = V294837. assign V103291 = V024675. assign V109532 = V170394 + 1. assign V214339 = V032837. assign V198839 = V113230 + 1. assign V630294 = V222170. assign V072400 = V846129 - 1. assign V675343 = V148144 + 1. assign V209510 = V799168 + 1. assign V495237 = V551259. assign V007780 = V556977 + 1. assign V775068 = V517543. assign V910612 = V203757 - 1. assign V155953 = V427137. assign V072531 = V258930. assign V315163 = V072400 - 1. assign V605786 = V427039. assign V473143 = V815826 - 1. assign V490892 = V948414 - 1. assign V799168 = V704354. assign V310575 = V288775 + 1. assign V335472 = V375741 + 1. assign V855840 = V619926. assign V165550 = V386162 + 1. assign V725183 = V109532 - 1. assign V214717 = V083260. assign V848486 = V900025 - 1. assign V514201 = V923173 + 1. assign V193799 = V800573. assign V067116 = V455752. assign V636844 = V678905 + 1. assign V113230 = V811704 + 1. assign V142451 = V037533 - 1. assign V563059 = V015808 + 1. assign V086977 = V277177 - 1. assign V737578 = V110668 - 1. assign V527749 = V855840 + 1. assign V619926 = V689382. assign V772791 = V818257. assign V124166 = V015808. assign V833701 = V138612 - 1. assign V857473 = V606200 - 1. assign V690215 = V900025 - 1. assign V123282 = V209510. assign V382128 = V492310 + 1. assign V722348 = V627550 + 1. assign V925305 = V665938 + 1. assign V074818 = V704354 + 1. assign V104874 = V460236. assign V121644 = V121440 + 1. assign V697024 = V203757 + 1. assign V105057 = V307251. assign V726309 = V203757 + 1. assign V253769 = V407178. assign V313177 = V884372 + 1. assign V150506 = V711913 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V830255 = V375741 + 1. assign V170394 = V113230 - 1. assign V077080 = V737128. assign V300017 = V742301 - 1. assign V159426 = V470274 - 1. assign V928800 = V086977 - 1. assign V936964 = V024675 + 1. assign V994274 = V758116 - 1. assign V470274 = V732729 - 1. assign V277802 = V846129 + 1. assign V110668 = V375741 + 1. assign V394780 = V121440 - 1. assign V579644 = V684466. assign V266329 = V253769 + 1. assign V389170 = V665938 - 1. assign V460236 = V110668. assign V672259 = V737578. assign V133889 = V634461 - 1. assign V600626 = V862672. assign V617972 = V915842 + 1. assign V899282 = V858732 + 1. assign V766800 = V576977 + 1. assign V856173 = V936964 + 1. assign V753497 = V203757 + 1. assign V328179 = V857473. assign V906147 = V155953. assign V913499 = V471234 + 1. assign V656716 = V299060 - 1. assign V996634 = V310575 + 1. assign V766810 = V110668 + 1. assign V086430 = V619926 - 1. assign V804947 = V456408. assign V222170 = V544428 - 1. assign V604039 = V818832. assign V305400 = V652796 + 1. assign V760866 = V830752 - 1. assign V749709 = V733015 - 1. assign V998153 = V192705 - 1. assign V350264 = V323147 + 1. assign V858732 = V277177 + 1. assign V689468 = V470915. assign V704354 = V742301. assign V912394 = V576977 - 1. assign V690510 = V086977 - 1. assign V915842 = V299060. assign V326288 = V086977. assign V900025 = V350181 + 1. assign V492310 = V407178. assign V407178 = V350181 + 1. assign V338297 = V643120 - 1. assign V642604 = V643120. assign V800573 = V192705 - 1. assign V627943 = V093337 - 1. assign V277177 = V576977. assign V243477 = V737578 - 1. assign V556977 = V504358 - 1. assign V297307 = V842475 + 1. assign V307251 = V931960 - 1. assign V453462 = V350181. assign V698104 = V179383 - 1. assign V340314 = V760866 - 1. assign V884372 = V385688. assign V380640 = V099257 - 1. assign V695429 = V492310. assign V466131 = V003257. assign V603696 = V203757 - 1. assign V205884 = V856709 - 1. assign V824530 = V684466. assign V343529 = V544428 + 1. assign V510251 = V193799 + 1. assign V088253 = V417483. assign V831258 = V050254. assign V205970 = V489592. assign V951577 = V656716. assign V811704 = V309207. assign V584348 = V288775. assign V186509 = V556977 - 1. assign V288775 = V913499 - 1. assign V898299 = V051766 - 1. assign V287684 = V830752 - 1. assign V491144 = V899282 + 1. assign V037533 = V634461. assign V549188 = V323147 + 1. assign V593569 = V024675 - 1. assign V948414 = V691017. assign V905524 = V884372 + 1. assign V606200 = V818832 - 1. assign V323147 = V277802 - 1. assign V640629 = V695429 + 1. assign V363739 = V292698 - 1. assign V870175 = V037533 + 1. assign V927393 = V214717 - 1. assign V651308 = V165550 + 1. assign V228440 = V243477 + 1. assign V032837 = V192705. assign V470915 = V198839 - 1. assign V665938 = V350181. assign V856709 = V186509. assign V842475 = V285642 + 1. assign V783835 = V490892. assign V915710 = V579644 + 1. assign V929613 = V758116 + 1. assign V742301 = V899282. assign V671170 = V072400. assign V292698 = V277177 + 1. assign V362216 = V155953 + 1. assign V229107 = V364998 + 1. assign V099257 = V753725 - 1. assign V196761 = V138612. assign V943118 = V517543. assign V707316 = V726309 + 1. assign V711913 = V375741. assign V862672 = V576977. assign V294837 = V456408 - 1. assign V388419 = V414225 - 1. assign V371621 = V643120. assign V206894 = V159946 + 1. assign V455752 = V600626. assign V115962 = V758116. assign V285642 = V917534 - 1. assign V109273 = V690215. assign V381836 = V606200. assign V089110 = V829308 - 1. assign V604274 = V991097. assign V054531 = V115962 - 1. assign V710501 = V470274 - 1. assign V217493 = V285642 + 1. assign V503682 = V067116 + 1. assign V414225 = V593569 + 1. assign V576977 = V846129 - 1. assign V516217 = V900025. assign V083260 = V110668 - 1. assign V015808 = V815826 + 1. assign V825112 = V364998. assign V627550 = V086977. assign V517543 = V684466 + 1. assign V775848 = V196365 + 1. assign V477937 = V301550. assign V192705 = V203757. assign V283959 = V161241 + 1. assign V725055 = V288775 + 1. assign V066197 = V292698. assign V678905 = V133889. assign V257353 = V253769 + 1. assign V414552 = V824530. assign V339515 = V675343 + 1. assign V309207 = V203757 - 1. assign V096235 = V072531 + 1. assign V717837 = V665938 + 1. assign V720421 = V842475. assign V820188 = V737578. assign V117281 = V831258 - 1. assign V877983 = V287684 - 1. assign V686041 = V394780. assign V726116 = V665938 + 1. assign V680787 = V455752 - 1. assign V634461 = V811589. assign V009654 = V759410 - 1. assign V772222 = V854043. assign V662078 = V150506. assign V818257 = V516217 + 1. assign V196365 = V492310. assign V050254 = V371558 + 1. assign V829308 = V800573 - 1. assign V813716 = V697635. assign V417483 = V517543 - 1. assign V280412 = V818832 - 1. assign V143117 = V830752 + 1. assign V898579 = V646268 + 1. assign V691017 = V758116 - 1. assign V284865 = V124166 - 1. assign V931960 = V309207. assign V991097 = V831258 + 1. assign V853645 = V848486. assign V147378 = V389170. assign V580078 = V270548 + 1. assign V544428 = V253769 - 1. assign V631649 = V051766 - 1. assign V512342 = V389170 + 1. assign V258930 = V217493. assign V286963 = V917534. assign V121440 = V427039 + 1. assign V350181 = V309207 - 1. assign V732729 = V576977 + 1. assign V203757 = V083260 - 1. assign V448083 = V179383 + 1. assign V753850 = V737128 + 1. assign V285981 = V697635 + 1. assign V652796 = V848486 + 1. assign V689382 = V192705 + 1. assign V308059 = V857473. assign V552280 = V470915 + 1. assign V954873 = V846129. assign V138612 = V998153. assign V991967 = V471234 + 1. assign V299060 = V862672 - 1. assign V358320 = V698104 - 1. assign V737128 = V050254. assign V844529 = V285981. assign V526082 = V054531 - 1. assign V386162 = V717837. assign V485377 = V389170. assign V497795 = V299060. assign V815826 = V600626. assign V206364 = V179383 - 1. assign V817627 = V758583 + 1. assign V698551 = V037533 + 1. assign V851061 = V340314 - 1. assign V495832 = V083260. assign V109361 = V389170 + 1. assign V748452 = V710501 + 1. assign V161241 = V285642. assign V811589 = V375741. assign V257007 = V192705 + 1. assign V463488 = V655555. assign V404720 = V943118. assign V021114 = V032837 + 1. assign V000563 = V350181. assign V646268 = V854043. assign V456408 = V811704 - 1. assign V278176 = V071804. assign V455167 = V604039 + 1. assign V023551 = V811704 + 1. assign V833237 = V358320 + 1. assign V095430 = V900025. assign V684466 = V192705. assign V585697 = V414552. assign V364998 = V606200. assign V261755 = V858732 - 1. assign V759068 = V315163 - 1. assign V159946 = V862672 + 1. assign V982172 = V855840. assign V003257 = V113230. assign V834330 = V093337 + 1. assign V504358 = 0. assign V834045 = V912394 + 1. assign V917534 = V811589 + 1. assign V172271 = V870175 + 1. assign V148144 = V288775. assign V733015 = V314901 - 1. assign V551259 = V811704. assign V233563 = V050254 - 1. assign V818832 = V427039. assign V071804 = V917534 + 1. assign V913354 = V414225 - 1. assign V758583 = V051766. assign V371558 = V576977. assign V449819 = V671170. assign V830752 = V371558 - 1. assign V316091 = V675343. assign V427039 = V285642. assign V935283 = V856709 + 1. assign V383831 = V544428 + 1. assign V669172 = V672259 + 1. assign V416336 = V497795 + 1. assign V759410 = V726116 + 1. assign V329651 = V050254 + 1. assign V000638 = V327406 - 1. assign V675932 = V416336. assign V270548 = V544428. assign V327406 = V856709. assign V419522 = V072400 + 1. assign V314901 = V350181. assign V816201 = V851061 + 1. assign V348035 = V758583 + 1. assign V383807 = V675343 - 1. assign V923173 = V023551 - 1. assign V655555 = V091554 - 1. assign V846129 = V711913 - 1. assign V301550 = V314901. assign V093337 = V115962 + 1. assign V091554 = V217493 - 1. assign V041820 = V121440. assign V179383 = V846129 + 1. assign V024675 = V698104. assign V258328 = V935283 - 1. assign V451067 = V121440 - 1. assign V643120 = V455752. assign V471234 = V672259. assign V924686 = V203757 + 1. assign V239597 = V350181 - 1. assign V249375 = V072400 - 1. assign V885024 = V825112 - 1. assign V758116 = V460236 + 1. assign V841420 = V050254 - 1. assign V636654 = V485377. assign V385688 = V634461 - 1. assign V611011 = V233563 + 1. assign V697635 = V576977 - 1. assign V854043 = V848486. assign V051766 = V110668 + 1. assign V427137 = V375741 + 1. assign V578475 = V113230 + 1. assign V489592 = V833701 - 1. assign V089160 = V834330. assign V753725 = V294837. assign V103291 = V024675. assign V109532 = V170394 + 1. assign V214339 = V032837. assign V198839 = V113230 + 1. assign V630294 = V222170. assign V072400 = V846129 - 1. assign V675343 = V148144 + 1. assign V209510 = V799168 + 1. assign V495237 = V551259. assign V007780 = V556977 + 1. assign V775068 = V517543. assign V910612 = V203757 - 1. assign V155953 = V427137. assign V072531 = V258930. assign V315163 = V072400 - 1. assign V605786 = V427039. assign V473143 = V815826 - 1. assign V490892 = V948414 - 1. assign V799168 = V704354. assign V310575 = V288775 + 1. assign V335472 = V375741 + 1. assign V855840 = V619926. assign V165550 = V386162 + 1. assign V725183 = V109532 - 1. assign V214717 = V083260. assign V848486 = V900025 - 1. assign V514201 = V923173 + 1. assign V193799 = V800573. assign V067116 = V455752. assign V636844 = V678905 + 1. assign V113230 = V811704 + 1. assign V142451 = V037533 - 1. assign V563059 = V015808 + 1. assign V086977 = V277177 - 1. assign V737578 = V110668 - 1. assign V527749 = V855840 + 1. assign V619926 = V689382. assign V772791 = V818257. assign V124166 = V015808. assign V833701 = V138612 - 1. assign V857473 = V606200 - 1. assign V690215 = V900025 - 1. assign V123282 = V209510. assign V382128 = V492310 + 1. assign V722348 = V627550 + 1. assign V925305 = V665938 + 1. assign V074818 = V704354 + 1. assign V104874 = V460236. assign V121644 = V121440 + 1. assign V697024 = V203757 + 1. assign V105057 = V307251. assign V726309 = V203757 + 1. assign V253769 = V407178. assign V313177 = V884372 + 1. assign V150506 = V711913 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV504358 = 0;\n\nFrom these direct assignment(s), we have: \nV556977 = V504358 - 1 = 0 - 1 =-1;\nV007780 = V556977 + 1 = -1 + 1 =0;\nNo other varaibles can be derived from V007780;\nV186509 = V556977 - 1 = -1 - 1 =-2;\nV856709 = V186509 = -2;\nV327406 = V856709 = -2;\nV000638 = V327406 - 1 = -2 - 1 =-3;\nNo other varaibles can be derived from V000638;\nNo other varaibles can be derived from V327406;\nV935283 = V856709 + 1 = -2 + 1 =-1;\nV258328 = V935283 - 1 = -1 - 1 =-2;\nNo other varaibles can be derived from V258328;\nNo other varaibles can be derived from V935283;\nV205884 = V856709 - 1 = -2 - 1 =-3;\nNo other varaibles can be derived from V205884;\nNo other varaibles can be derived from V856709;\nNo other varaibles can be derived from V186509;\nNo other varaibles can be derived from V556977;\nNo other varaibles can be derived from V504358;\n\nNow we have done all the calculations. Derived variables are:\nV504358 = 0;\nV556977 = -1;\nV007780 = 0;\nV186509 = -2;\nV856709 = -2;\nV327406 = -2;\nV000638 = -3;\nV935283 = -1;\nV258328 = -2;\nV205884 = -3;\n\nNow we have finished this problem. ANSWER:\nV556977, V935283\n", "role": "assistant" } ]

[ "V852570", "V896945", "V689373", "V878881" ]

[ { "content": "<context>\nassign V584867 = V961057 - 1. assign V603435 = V251938 + 1. assign V232375 = V556411. assign V446194 = V792080 + 1. assign V608720 = V277830 + 1. assign V798460 = V312457 + 1. assign V896018 = V673822. assign V033692 = V625151. assign V597025 = V527622. assign V044012 = V441564. assign V563936 = V965825. assign V122287 = V605380. assign V953640 = V815950 + 1. assign V965825 = V680504. assign V761442 = V405070. assign V444410 = V350904 - 1. assign V465155 = V959820. assign V450789 = V471331. assign V590026 = V740427 + 1. assign V081554 = V672878 + 1. assign V448954 = V959820. assign V671639 = V798460 + 1. assign V854323 = V314274 + 1. assign V262080 = V242360. assign V676660 = V073377. assign V327812 = V080496 - 1. assign V036214 = V920667 - 1. assign V620125 = V478759 + 1. assign V574453 = V563850. assign V038035 = V375694 + 1. assign V612318 = V525638. assign V007098 = V858240 + 1. assign V247125 = V569895 - 1. assign V449056 = V574453 + 1. assign V901756 = V242360 + 1. assign V466882 = V280306. assign V620809 = V655351 - 1. assign V558447 = V327812 + 1. assign V341167 = V237827 + 1. assign V876481 = V730358. assign V454194 = V086700 - 1. assign V439230 = V393190 - 1. assign V655351 = V163133 - 1. assign V471331 = V889803 + 1. assign V573184 = V481344. assign V556411 = V280306 + 1. assign V940269 = V076382. assign V524881 = V909945 - 1. assign V779902 = V028691 + 1. assign V252097 = V620546 - 1. assign V746189 = V110433. assign V241768 = V822482 + 1. assign V293818 = V332802. assign V332802 = V187344 - 1. assign V299221 = V956579 + 1. assign V818018 = V598815. assign V407831 = V277830. assign V329376 = V858240 - 1. assign V073377 = V393190. assign V563011 = V187344 + 1. assign V804557 = V400785 - 1. assign V003958 = V926053. assign V979519 = V771196 - 1. assign V551673 = V794327. assign V740427 = V984556 + 1. assign V208840 = V561436 + 1. assign V293117 = V081554. assign V110433 = V478521. assign V438025 = V716612 + 1. assign V393865 = V680504 + 1. assign V082608 = V081554. assign V652211 = V130206 - 1. assign V350904 = V193967 - 1. assign V840342 = V584867 - 1. assign V747263 = V798460. assign V313505 = V965825 - 1. assign V441564 = 7. assign V720633 = V320177. assign V014263 = V680504 + 1. assign V871731 = V535660 - 1. assign V546606 = V771196 + 1. assign V503917 = V076382 - 1. assign V342561 = V276202 + 1. assign V421389 = V096712 - 1. assign V889494 = V438025 - 1. assign V633130 = V072728. assign V887533 = V889660 + 1. assign V637698 = V527432. assign V793148 = V956579. assign V160613 = V446194 - 1. assign V938898 = V303715 + 1. assign V527432 = V740427. assign V660540 = V771196 - 1. assign V852570 = V761258 + 1. assign V175222 = V072728 - 1. assign V733896 = V563850 + 1. assign V596748 = V070980. assign V151655 = V471331 - 1. assign V277830 = V332802 - 1. assign V107566 = V393865. assign V656817 = V904554. assign V317150 = V603435. assign V394794 = V096712 - 1. assign V567561 = V818018. assign V734850 = V452600 + 1. assign V675845 = V940269 - 1. assign V280306 = V794327 + 1. assign V561436 = V452600. assign V642818 = V332802 - 1. assign V779959 = V405070 - 1. assign V072728 = V187344. assign V093855 = V452600. assign V164535 = V072728 - 1. assign V711744 = V858240 - 1. assign V730358 = V561436 + 1. assign V586443 = V501741 + 1. assign V717746 = V327812 - 1. assign V335883 = V457970 + 1. assign V676725 = V337511. assign V939824 = V792080 - 1. assign V475422 = V076896. assign V222785 = V940445 - 1. assign V664609 = V043465 - 1. assign V271889 = V277830 - 1. assign V257297 = V794406 - 1. assign V197528 = V535660. assign V679827 = V280306 + 1. assign V727101 = V096712 + 1. assign V424970 = V375694. assign V400785 = V452600 - 1. assign V303715 = V187344 + 1. assign V478521 = V080496 - 1. assign V115532 = V815950. assign V631853 = V794327. assign V856714 = V303715 + 1. assign V245250 = V073377. assign V716921 = V255090 - 1. assign V320177 = V573199 + 1. assign V418604 = V022856 - 1. assign V932233 = V585849 + 1. assign V569895 = V620546. assign V516916 = V277830 + 1. assign V076896 = V876481 + 1. assign V453159 = V561436. assign V188211 = V730358. assign V761258 = V441564. assign V122352 = V481344 - 1. assign V140932 = V312457 + 1. assign V625151 = V037090 - 1. assign V912971 = V659120 - 1. assign V049910 = V337511 + 1. assign V192056 = V871731. assign V232396 = V080496. assign V912090 = V478521. assign V928376 = V467301 + 1. assign V171914 = V600718 + 1. assign V956579 = V028691 - 1. assign V495051 = V478759 + 1. assign V689373 = V925684 - 1. assign V682113 = V312457 - 1. assign V138053 = V452600. assign V290911 = V672878 + 1. assign V645211 = V498531 + 1. assign V251938 = V452600. assign V600718 = V633130 + 1. assign V415205 = V327812 - 1. assign V498531 = V659120 + 1. assign V858240 = V072728 - 1. assign V598815 = V672878 + 1. assign V716612 = V569895. assign V237827 = V073377 + 1. assign V961057 = V271889 + 1. assign V314274 = V208840 + 1. assign V266154 = V655351 + 1. assign V254726 = V716612 + 1. assign V317310 = V876481 - 1. assign V170408 = V081554. assign V904554 = V331492 - 1. assign V720624 = V192056 + 1. assign V908586 = V007098 - 1. assign V688342 = V771196. assign V187125 = V527432 - 1. assign V423214 = V453159. assign V242360 = V961057. assign V596462 = V571970. assign V695462 = V635448 + 1. assign V965160 = V938898. assign V113836 = V929795. assign V375149 = V345323 + 1. assign V889660 = V096712. assign V501472 = V585618 - 1. assign V061628 = V038035 - 1. assign V573199 = V574453 - 1. assign V257393 = V752662 + 1. assign V689930 = V276202. assign V855358 = V293818 + 1. assign V096712 = V818018 - 1. assign V822482 = V400785 - 1. assign V179918 = V637698. assign V781728 = V672878 + 1. assign V914845 = V465155 + 1. assign V049654 = V524881 - 1. assign V513645 = V917257 + 1. assign V080496 = V400785 - 1. assign V086700 = V730358 + 1. assign V309792 = V951037 + 1. assign V216227 = V642818 - 1. assign V550185 = V312457 + 1. assign V585618 = V818018 + 1. assign V417499 = V585618. assign V673822 = V110433 - 1. assign V926053 = V332802 + 1. assign V436543 = V730358 + 1. assign V411366 = V473594. assign V398689 = V678277 + 1. assign V409826 = V232396 - 1. assign V602293 = V733896. assign V337511 = V096712 + 1. assign V557421 = V896018 - 1. assign V359138 = V453159 - 1. assign V478759 = V037090 + 1. assign V193967 = V452600 + 1. assign V373198 = V022856 - 1. assign V585849 = V912090. assign V802284 = V093855. assign V182069 = V608720 + 1. assign V992551 = V266154. assign V740421 = V733666 - 1. assign V276202 = V802284. assign V896945 = V044012 + 1. assign V940445 = V452600. assign V481344 = V804557 - 1. assign V163133 = V332802 + 1. assign V615837 = V793148 + 1. assign V878881 = V044012 + 1. assign V951037 = V187344 - 1. assign V605380 = V620546 - 1. assign V454532 = V524881. assign V794327 = V327812. assign V917257 = V846590 + 1. assign V484847 = V822482 + 1. assign V110110 = V781728 - 1. assign V415707 = V889803. assign V580845 = V655351 - 1. assign V489746 = V585618 - 1. assign V985397 = V187344 - 1. assign V547102 = V345323. assign V741483 = V746189. assign V846590 = V804557 - 1. assign V672878 = V625151. assign V499974 = V081554 + 1. assign V659120 = V858240 - 1. assign V771286 = V740421 + 1. assign V535660 = V303715 + 1. assign V669834 = V675845. assign V678277 = V501741 + 1. assign V076382 = V073377 + 1. assign V457019 = V645211 + 1. assign V974857 = V014263 + 1. assign V965202 = V350904 + 1. assign V209892 = V720624 - 1. assign V373334 = V979381 - 1. assign V552860 = V894289. assign V914147 = V605380 + 1. assign V909945 = V802284 - 1. assign V736150 = V527432 - 1. assign V022392 = V232375 + 1. assign V571970 = V605380 + 1. assign V269712 = V598815. assign V501741 = V080496 + 1. assign V364221 = V003958 - 1. assign V130206 = V149019 + 1. assign V345323 = V804557 + 1. assign V288571 = V277830 + 1. assign V070980 = V149019 + 1. assign V393666 = V478521 + 1. assign V313827 = V337511. assign V467301 = V740427 - 1. assign V169620 = V682113. assign V203924 = V590026 + 1. assign V984556 = V971488 - 1. assign V796879 = V567561 - 1. assign V531752 = V605380. assign V815950 = V332802. assign V043465 = V761258 - 1. assign V122503 = V216227 - 1. assign V331492 = V818018 - 1. assign V752662 = V276202 + 1. assign V920667 = V028691 - 1. assign V149019 = V605380. assign V255090 = V961057. assign V680504 = V453159. assign V339779 = V563011. assign V552859 = V889660 + 1. assign V051213 = V912971 - 1. assign V547575 = V741952 - 1. assign V028691 = V293818 - 1. assign V355481 = V171914 + 1. assign V375694 = V072728. assign V771196 = V478521 + 1. assign V393190 = V453159 - 1. assign V022856 = V327812 + 1. assign V733666 = V858240 - 1. assign V971488 = V730358. assign V366134 = V255090. assign V652753 = V072728. assign V929795 = V876481 - 1. assign V473594 = V682113 + 1. assign V525638 = V478521 + 1. assign V927018 = V501741 - 1. assign V563850 = V979519 + 1. assign V287625 = V979519. assign V979381 = V858240 - 1. assign V889803 = V563011 - 1. assign V973857 = V113836 - 1. assign V633437 = V546606. assign V106488 = V740427 + 1. assign V395484 = V182069 - 1. assign V372092 = V535660. assign V794406 = V876481 - 1. assign V948021 = V633130 + 1. assign V635448 = V608720 + 1. assign V457970 = V567561. assign V614251 = V106488. assign V037090 = V561436. assign V686757 = V727101 + 1. assign V033655 = V327812 - 1. assign V487187 = V815950 - 1. assign V620546 = V400785 - 1. assign V925684 = V852570 + 1. assign V792080 = V372092. assign V038658 = V645211. assign V312457 = V393190 - 1. assign V959820 = V331492. assign V405070 = V290911 + 1. assign V527622 = V633130 + 1. assign V187344 = V561436 - 1. assign V741952 = V716921 - 1. assign V021150 = V080496 + 1. assign V028834 = V912090. assign V260971 = V331492. assign V295614 = V110433 - 1. assign V900835 = V138053. assign V492064 = V965825 - 1. assign V090464 = V280306. assign V800137 = V979519 - 1. assign V425329 = V478759 + 1. assign V254386 = V740427. assign V291861 = V466882. assign V162403 = V163133. assign V894289 = V573199.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V584867 = V961057 - 1. assign V603435 = V251938 + 1. assign V232375 = V556411. assign V446194 = V792080 + 1. assign V608720 = V277830 + 1. assign V798460 = V312457 + 1. assign V896018 = V673822. assign V033692 = V625151. assign V597025 = V527622. assign V044012 = V441564. assign V563936 = V965825. assign V122287 = V605380. assign V953640 = V815950 + 1. assign V965825 = V680504. assign V761442 = V405070. assign V444410 = V350904 - 1. assign V465155 = V959820. assign V450789 = V471331. assign V590026 = V740427 + 1. assign V081554 = V672878 + 1. assign V448954 = V959820. assign V671639 = V798460 + 1. assign V854323 = V314274 + 1. assign V262080 = V242360. assign V676660 = V073377. assign V327812 = V080496 - 1. assign V036214 = V920667 - 1. assign V620125 = V478759 + 1. assign V574453 = V563850. assign V038035 = V375694 + 1. assign V612318 = V525638. assign V007098 = V858240 + 1. assign V247125 = V569895 - 1. assign V449056 = V574453 + 1. assign V901756 = V242360 + 1. assign V466882 = V280306. assign V620809 = V655351 - 1. assign V558447 = V327812 + 1. assign V341167 = V237827 + 1. assign V876481 = V730358. assign V454194 = V086700 - 1. assign V439230 = V393190 - 1. assign V655351 = V163133 - 1. assign V471331 = V889803 + 1. assign V573184 = V481344. assign V556411 = V280306 + 1. assign V940269 = V076382. assign V524881 = V909945 - 1. assign V779902 = V028691 + 1. assign V252097 = V620546 - 1. assign V746189 = V110433. assign V241768 = V822482 + 1. assign V293818 = V332802. assign V332802 = V187344 - 1. assign V299221 = V956579 + 1. assign V818018 = V598815. assign V407831 = V277830. assign V329376 = V858240 - 1. assign V073377 = V393190. assign V563011 = V187344 + 1. assign V804557 = V400785 - 1. assign V003958 = V926053. assign V979519 = V771196 - 1. assign V551673 = V794327. assign V740427 = V984556 + 1. assign V208840 = V561436 + 1. assign V293117 = V081554. assign V110433 = V478521. assign V438025 = V716612 + 1. assign V393865 = V680504 + 1. assign V082608 = V081554. assign V652211 = V130206 - 1. assign V350904 = V193967 - 1. assign V840342 = V584867 - 1. assign V747263 = V798460. assign V313505 = V965825 - 1. assign V441564 = 7. assign V720633 = V320177. assign V014263 = V680504 + 1. assign V871731 = V535660 - 1. assign V546606 = V771196 + 1. assign V503917 = V076382 - 1. assign V342561 = V276202 + 1. assign V421389 = V096712 - 1. assign V889494 = V438025 - 1. assign V633130 = V072728. assign V887533 = V889660 + 1. assign V637698 = V527432. assign V793148 = V956579. assign V160613 = V446194 - 1. assign V938898 = V303715 + 1. assign V527432 = V740427. assign V660540 = V771196 - 1. assign V852570 = V761258 + 1. assign V175222 = V072728 - 1. assign V733896 = V563850 + 1. assign V596748 = V070980. assign V151655 = V471331 - 1. assign V277830 = V332802 - 1. assign V107566 = V393865. assign V656817 = V904554. assign V317150 = V603435. assign V394794 = V096712 - 1. assign V567561 = V818018. assign V734850 = V452600 + 1. assign V675845 = V940269 - 1. assign V280306 = V794327 + 1. assign V561436 = V452600. assign V642818 = V332802 - 1. assign V779959 = V405070 - 1. assign V072728 = V187344. assign V093855 = V452600. assign V164535 = V072728 - 1. assign V711744 = V858240 - 1. assign V730358 = V561436 + 1. assign V586443 = V501741 + 1. assign V717746 = V327812 - 1. assign V335883 = V457970 + 1. assign V676725 = V337511. assign V939824 = V792080 - 1. assign V475422 = V076896. assign V222785 = V940445 - 1. assign V664609 = V043465 - 1. assign V271889 = V277830 - 1. assign V257297 = V794406 - 1. assign V197528 = V535660. assign V679827 = V280306 + 1. assign V727101 = V096712 + 1. assign V424970 = V375694. assign V400785 = V452600 - 1. assign V303715 = V187344 + 1. assign V478521 = V080496 - 1. assign V115532 = V815950. assign V631853 = V794327. assign V856714 = V303715 + 1. assign V245250 = V073377. assign V716921 = V255090 - 1. assign V320177 = V573199 + 1. assign V418604 = V022856 - 1. assign V932233 = V585849 + 1. assign V569895 = V620546. assign V516916 = V277830 + 1. assign V076896 = V876481 + 1. assign V453159 = V561436. assign V188211 = V730358. assign V761258 = V441564. assign V122352 = V481344 - 1. assign V140932 = V312457 + 1. assign V625151 = V037090 - 1. assign V912971 = V659120 - 1. assign V049910 = V337511 + 1. assign V192056 = V871731. assign V232396 = V080496. assign V912090 = V478521. assign V928376 = V467301 + 1. assign V171914 = V600718 + 1. assign V956579 = V028691 - 1. assign V495051 = V478759 + 1. assign V689373 = V925684 - 1. assign V682113 = V312457 - 1. assign V138053 = V452600. assign V290911 = V672878 + 1. assign V645211 = V498531 + 1. assign V251938 = V452600. assign V600718 = V633130 + 1. assign V415205 = V327812 - 1. assign V498531 = V659120 + 1. assign V858240 = V072728 - 1. assign V598815 = V672878 + 1. assign V716612 = V569895. assign V237827 = V073377 + 1. assign V961057 = V271889 + 1. assign V314274 = V208840 + 1. assign V266154 = V655351 + 1. assign V254726 = V716612 + 1. assign V317310 = V876481 - 1. assign V170408 = V081554. assign V904554 = V331492 - 1. assign V720624 = V192056 + 1. assign V908586 = V007098 - 1. assign V688342 = V771196. assign V187125 = V527432 - 1. assign V423214 = V453159. assign V242360 = V961057. assign V596462 = V571970. assign V695462 = V635448 + 1. assign V965160 = V938898. assign V113836 = V929795. assign V375149 = V345323 + 1. assign V889660 = V096712. assign V501472 = V585618 - 1. assign V061628 = V038035 - 1. assign V573199 = V574453 - 1. assign V257393 = V752662 + 1. assign V689930 = V276202. assign V855358 = V293818 + 1. assign V096712 = V818018 - 1. assign V822482 = V400785 - 1. assign V179918 = V637698. assign V781728 = V672878 + 1. assign V914845 = V465155 + 1. assign V049654 = V524881 - 1. assign V513645 = V917257 + 1. assign V080496 = V400785 - 1. assign V086700 = V730358 + 1. assign V309792 = V951037 + 1. assign V216227 = V642818 - 1. assign V550185 = V312457 + 1. assign V585618 = V818018 + 1. assign V417499 = V585618. assign V673822 = V110433 - 1. assign V926053 = V332802 + 1. assign V436543 = V730358 + 1. assign V411366 = V473594. assign V398689 = V678277 + 1. assign V409826 = V232396 - 1. assign V602293 = V733896. assign V337511 = V096712 + 1. assign V557421 = V896018 - 1. assign V359138 = V453159 - 1. assign V478759 = V037090 + 1. assign V193967 = V452600 + 1. assign V373198 = V022856 - 1. assign V585849 = V912090. assign V802284 = V093855. assign V182069 = V608720 + 1. assign V992551 = V266154. assign V740421 = V733666 - 1. assign V276202 = V802284. assign V896945 = V044012 + 1. assign V940445 = V452600. assign V481344 = V804557 - 1. assign V163133 = V332802 + 1. assign V615837 = V793148 + 1. assign V878881 = V044012 + 1. assign V951037 = V187344 - 1. assign V605380 = V620546 - 1. assign V454532 = V524881. assign V794327 = V327812. assign V917257 = V846590 + 1. assign V484847 = V822482 + 1. assign V110110 = V781728 - 1. assign V415707 = V889803. assign V580845 = V655351 - 1. assign V489746 = V585618 - 1. assign V985397 = V187344 - 1. assign V547102 = V345323. assign V741483 = V746189. assign V846590 = V804557 - 1. assign V672878 = V625151. assign V499974 = V081554 + 1. assign V659120 = V858240 - 1. assign V771286 = V740421 + 1. assign V535660 = V303715 + 1. assign V669834 = V675845. assign V678277 = V501741 + 1. assign V076382 = V073377 + 1. assign V457019 = V645211 + 1. assign V974857 = V014263 + 1. assign V965202 = V350904 + 1. assign V209892 = V720624 - 1. assign V373334 = V979381 - 1. assign V552860 = V894289. assign V914147 = V605380 + 1. assign V909945 = V802284 - 1. assign V736150 = V527432 - 1. assign V022392 = V232375 + 1. assign V571970 = V605380 + 1. assign V269712 = V598815. assign V501741 = V080496 + 1. assign V364221 = V003958 - 1. assign V130206 = V149019 + 1. assign V345323 = V804557 + 1. assign V288571 = V277830 + 1. assign V070980 = V149019 + 1. assign V393666 = V478521 + 1. assign V313827 = V337511. assign V467301 = V740427 - 1. assign V169620 = V682113. assign V203924 = V590026 + 1. assign V984556 = V971488 - 1. assign V796879 = V567561 - 1. assign V531752 = V605380. assign V815950 = V332802. assign V043465 = V761258 - 1. assign V122503 = V216227 - 1. assign V331492 = V818018 - 1. assign V752662 = V276202 + 1. assign V920667 = V028691 - 1. assign V149019 = V605380. assign V255090 = V961057. assign V680504 = V453159. assign V339779 = V563011. assign V552859 = V889660 + 1. assign V051213 = V912971 - 1. assign V547575 = V741952 - 1. assign V028691 = V293818 - 1. assign V355481 = V171914 + 1. assign V375694 = V072728. assign V771196 = V478521 + 1. assign V393190 = V453159 - 1. assign V022856 = V327812 + 1. assign V733666 = V858240 - 1. assign V971488 = V730358. assign V366134 = V255090. assign V652753 = V072728. assign V929795 = V876481 - 1. assign V473594 = V682113 + 1. assign V525638 = V478521 + 1. assign V927018 = V501741 - 1. assign V563850 = V979519 + 1. assign V287625 = V979519. assign V979381 = V858240 - 1. assign V889803 = V563011 - 1. assign V973857 = V113836 - 1. assign V633437 = V546606. assign V106488 = V740427 + 1. assign V395484 = V182069 - 1. assign V372092 = V535660. assign V794406 = V876481 - 1. assign V948021 = V633130 + 1. assign V635448 = V608720 + 1. assign V457970 = V567561. assign V614251 = V106488. assign V037090 = V561436. assign V686757 = V727101 + 1. assign V033655 = V327812 - 1. assign V487187 = V815950 - 1. assign V620546 = V400785 - 1. assign V925684 = V852570 + 1. assign V792080 = V372092. assign V038658 = V645211. assign V312457 = V393190 - 1. assign V959820 = V331492. assign V405070 = V290911 + 1. assign V527622 = V633130 + 1. assign V187344 = V561436 - 1. assign V741952 = V716921 - 1. assign V021150 = V080496 + 1. assign V028834 = V912090. assign V260971 = V331492. assign V295614 = V110433 - 1. assign V900835 = V138053. assign V492064 = V965825 - 1. assign V090464 = V280306. assign V800137 = V979519 - 1. assign V425329 = V478759 + 1. assign V254386 = V740427. assign V291861 = V466882. assign V162403 = V163133. assign V894289 = V573199.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV441564 = 7;\n\nFrom these direct assignment(s), we have: \nV761258 = V441564 = 7;\nV043465 = V761258 - 1 = 7 - 1 =6;\nV664609 = V043465 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V664609;\nNo other varaibles can be derived from V043465;\nV852570 = V761258 + 1 = 7 + 1 =8;\nV925684 = V852570 + 1 = 8 + 1 =9;\nV689373 = V925684 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V689373;\nNo other varaibles can be derived from V925684;\nNo other varaibles can be derived from V852570;\nNo other varaibles can be derived from V761258;\nV044012 = V441564 = 7;\nV878881 = V044012 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V878881;\nV896945 = V044012 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V896945;\nNo other varaibles can be derived from V044012;\nNo other varaibles can be derived from V441564;\n\nNow we have done all the calculations. Derived variables are:\nV441564 = 7;\nV761258 = 7;\nV043465 = 6;\nV664609 = 5;\nV852570 = 8;\nV925684 = 9;\nV689373 = 8;\nV044012 = 7;\nV878881 = 8;\nV896945 = 8;\n\nNow we have finished this problem. ANSWER:\nV852570, V689373, V878881, V896945\n", "role": "assistant" } ]

[ "V067353" ]

[ { "content": "<context>\nassign V429068 = V153017. assign V100037 = V592262. assign V240885 = V801024. assign V961905 = V015596 - 1. assign V295667 = V355182. assign V859017 = V299999. assign V756917 = V175534 + 1. assign V625791 = V156562 - 1. assign V788850 = V870027. assign V868695 = V525217 + 1. assign V572332 = V923388 - 1. assign V312914 = V390063 - 1. assign V223217 = V525217 + 1. assign V822897 = V636450 - 1. assign V612403 = V980253 + 1. assign V424763 = V779240 + 1. assign V270770 = V403102 - 1. assign V450186 = V319555. assign V870027 = V910835 - 1. assign V094260 = V591816. assign V617056 = V406978. assign V321799 = V312914. assign V355319 = V249347 - 1. assign V619759 = V100037. assign V274281 = V968827 - 1. assign V355182 = V312914 - 1. assign V067353 = V427791 + 1. assign V325593 = V603089 - 1. assign V570445 = V073158 - 1. assign V421721 = V039024 + 1. assign V092259 = V316229 + 1. assign V268740 = V572332 - 1. assign V620750 = V191024. assign V663583 = V620750. assign V876930 = V153017 - 1. assign V471534 = V620750 - 1. assign V857279 = V465657 - 1. assign V932144 = V572284 - 1. assign V756150 = V196501 + 1. assign V299165 = V127467. assign V700271 = V406978. assign V112634 = V403102 + 1. assign V754193 = V021744 + 1. assign V817703 = V148411. assign V454652 = V756150 - 1. assign V353974 = V432160 + 1. assign V592262 = V898604 - 1. assign V392506 = V545119. assign V518398 = V640075. assign V159693 = V406978 + 1. assign V970839 = V319555 - 1. assign V219215 = V343182. assign V516479 = V403102 - 1. assign V395343 = V705310 - 1. assign V007096 = V060978. assign V894893 = V317125. assign V156878 = V850407 - 1. assign V214830 = V177234 - 1. assign V534204 = V898604 - 1. assign V196173 = V722203 - 1. assign V249952 = V876930. assign V529272 = V317125. assign V884073 = V875334 - 1. assign V156969 = V898604. assign V479892 = V427791. assign V330000 = V085191 - 1. assign V270642 = V401077 - 1. assign V520042 = V179979 - 1. assign V027763 = V252596 + 1. assign V317674 = V706127 + 1. assign V197326 = V330000. assign V352869 = V270642. assign V694322 = V868695 + 1. assign V261690 = V185383. assign V092508 = V276827 - 1. assign V696525 = V225043. assign V222162 = V559793 - 1. assign V673438 = V450186. assign V497776 = V620775 - 1. assign V432684 = V223217. assign V299999 = V870027 - 1. assign V249730 = V201115 - 1. assign V021744 = V401077 - 1. assign V318171 = V089900 - 1. assign V694057 = V299999 + 1. assign V567144 = V455923 - 1. assign V447543 = V144924 - 1. assign V089900 = V656168 - 1. assign V980253 = V057213 + 1. assign V859134 = V754193. assign V749953 = V955042. assign V005596 = V534498 - 1. assign V225043 = V406978 + 1. assign V146443 = V057213 + 1. assign V322192 = V640075 + 1. assign V394624 = V384989 - 1. assign V185383 = V445956 + 1. assign V211458 = V910835. assign V266525 = V378826 - 1. assign V327693 = V773028. assign V499983 = V039024 + 1. assign V114117 = V211458 - 1. assign V690861 = V961905. assign V130238 = V223217 - 1. assign V738916 = V177234. assign V807924 = V127467. assign V479676 = V450951. assign V603089 = V884314 - 1. assign V591816 = V636450 - 1. assign V649655 = V801024. assign V657561 = V262000 - 1. assign V432223 = V756150 - 1. assign V722267 = V898604. assign V270831 = V428322 + 1. assign V805407 = V801024. assign V071074 = V559793 - 1. assign V378826 = V534204 + 1. assign V845687 = V738916 + 1. assign V554452 = V085191. assign V712829 = V572332 + 1. assign V401327 = V079628 + 1. assign V275950 = V545119. assign V127467 = V797379 - 1. assign V183205 = V445956 - 1. assign V635248 = V113037 - 1. assign V113037 = V479649 + 1. assign V743959 = V024418 + 1. assign V500588 = V450951. assign V156562 = V113037. assign V090724 = V071074. assign V423651 = V429068 + 1. assign V706127 = V500045 + 1. assign V154608 = V240885 - 1. assign V011610 = V321799 - 1. assign V834577 = V661804. assign V716901 = V946144. assign V233810 = V636450 + 1. assign V333721 = V661804. assign V262000 = V270642 - 1. assign V968827 = V153017 - 1. assign V779240 = V797379 - 1. assign V906834 = V275344 + 1. assign V781377 = V722267 - 1. assign V636450 = V525217 - 1. assign V996857 = V156969 - 1. assign V079628 = V439094 + 1. assign V447230 = V299165. assign V545119 = V092259. assign V357241 = V591816 - 1. assign V568202 = V685063 - 1. assign V144924 = V525217 - 1. assign V989100 = V999554. assign V439094 = V465657. assign V951459 = V270770 + 1. assign V721954 = V943525 - 1. assign V263228 = V661804 - 1. assign V943525 = V805407. assign V895417 = V707507 - 1. assign V011726 = V572284. assign V656168 = V211458. assign V705310 = V401077 + 1. assign V339070 = V275344. assign V985489 = V058354 + 1. assign V907464 = V223217 - 1. assign V445956 = V868695 - 1. assign V824752 = V445956 - 1. assign V836768 = V759168 + 1. assign V693746 = V850407 - 1. assign V723070 = V894893 + 1. assign V363215 = V257201 - 1. assign V661804 = V694322 - 1. assign V547826 = V572284 + 1. assign V343182 = V970839 + 1. assign V429588 = V024418. assign V809257 = V946602. assign V276827 = V465657. assign V836712 = V017553. assign V428322 = V913431 - 1. assign V281631 = V884314. assign V384989 = 9. assign V722203 = V406978 - 1. assign V073158 = V222162 + 1. assign V308475 = V547826 + 1. assign V440538 = V317125. assign V060978 = V685063 - 1. assign V859281 = V225043. assign V620775 = V479649 + 1. assign V809472 = V932144. assign V989741 = V092259. assign V250263 = V222466 - 1. assign V058354 = V394624 - 1. assign V336549 = V175534. assign V838063 = V598397 - 1. assign V639306 = V759168 - 1. assign V681388 = V531523 - 1. assign V124619 = V429068 + 1. assign V736176 = V113037. assign V572284 = V961905 - 1. assign V750952 = V233051. assign V275344 = V144924 + 1. assign V041090 = V660305. assign V946602 = V390063 - 1. assign V500045 = V603089 + 1. assign V773028 = V534498 - 1. assign V411644 = V545119 - 1. assign V730120 = V661804 - 1. assign V403102 = V610788 + 1. assign V167593 = V112634 - 1. assign V450951 = V183205 + 1. assign V525217 = V910835. assign V179979 = V071074 + 1. assign V113966 = V531523 + 1. assign V024418 = V113966 + 1. assign V697298 = V805407 - 1. assign V984498 = V750952 - 1. assign V830120 = V779240 - 1. assign V093859 = V479892 - 1. assign V668242 = V807924. assign V946144 = V465657 + 1. assign V432160 = V809257 + 1. assign V317125 = V008215 - 1. assign V508925 = V479649 - 1. assign V249347 = V636450 - 1. assign V707507 = V730120. assign V797379 = V275344 + 1. assign V252596 = V610788 - 1. assign V254060 = V732641. assign V660305 = V333721. assign V482855 = V531523 - 1. assign V112135 = V701166 + 1. assign V556050 = V619759 - 1. assign V408312 = V144924 + 1. assign V494410 = V534204 + 1. assign V923388 = V156562 - 1. assign V040212 = V636450 - 1. assign V517808 = V923388 + 1. assign V085191 = V127467 - 1. assign V063158 = V970839 + 1. assign V168128 = V685063. assign V039625 = V357241. assign V496865 = V660305 - 1. assign V610788 = V094260. assign V257201 = V754193. assign V898604 = V223217 + 1. assign V837321 = V805407 - 1. assign V501290 = V281631 - 1. assign V955042 = V661804. assign V455923 = V749953 + 1. assign V955902 = V759168 - 1. assign V181142 = V706127 + 1. assign V592571 = V946644 - 1. assign V465657 = V636450 - 1. assign V331496 = V797379 - 1. assign V909846 = V918911 + 1. assign V304710 = V525217. assign V177234 = V547826 - 1. assign V464180 = V015596 - 1. assign V898742 = V649655 + 1. assign V181422 = V989741 - 1. assign V186232 = V951459. assign V191024 = V525217 - 1. assign V640757 = V270642 + 1. assign V479649 = V910835. assign V638363 = V610788. assign V967954 = V876930 - 1. assign V280619 = V401077 - 1. assign V999554 = V039024. assign V880954 = V514713 + 1. assign V201115 = V289750. assign V401077 = V913431 + 1. assign V227919 = V875334 + 1. assign V204366 = V545119 + 1. assign V015596 = V191024 - 1. assign V789124 = V445956 + 1. assign V325244 = V384989 - 1. assign V860347 = V427791. assign V723831 = V559793 - 1. assign V196501 = V592571. assign V316229 = V317125 + 1. assign V482437 = V514713. assign V057213 = V906834 - 1. assign V319555 = V910835 - 1. assign V406978 = V144924. assign V289750 = V961905 - 1. assign V685063 = V191024 + 1. assign V806557 = V114117. assign V647389 = V499983 - 1. assign V390063 = V233051. assign V918911 = V868695 + 1. assign V659397 = V859017. assign V566110 = V317125 - 1. assign V694942 = V534204. assign V607031 = V233810 - 1. assign V372107 = V249952 - 1. assign V329083 = V113966 + 1. assign V701166 = V355319 - 1. assign V884314 = V144924 + 1. assign V222466 = V025169 - 1. assign V175534 = V955042 + 1. assign V767592 = V196501 - 1. assign V233051 = V805407 + 1. assign V341082 = V465657. assign V017553 = V471534 + 1. assign V645984 = V525217. assign V534498 = V884314. assign V471456 = V233051 + 1. assign V798816 = V636450 + 1. assign V362630 = V445956 - 1. assign V231455 = V690861. assign V946644 = V906834 + 1. assign V000177 = V231455. assign V514713 = V211458 - 1. assign V875334 = V756150 - 1. assign V705242 = V661804 - 1. assign V901573 = V482855 + 1. assign V447928 = V525217 + 1. assign V165870 = V809257. assign V531523 = V898604. assign V700403 = V932144. assign V153017 = V130238 + 1. assign V559793 = V223217 - 1. assign V850407 = V525217 + 1. assign V598397 = V276827 + 1. assign V166038 = V789124 + 1. assign V039024 = V130238. assign V834659 = V403102 + 1. assign V746185 = V736176. assign V908653 = V328901 - 1. assign V640075 = V685063. assign V638780 = V281631. assign V008215 = V233810. assign V654137 = V114117 - 1. assign V560480 = V534204 + 1. assign V427791 = V384989 + 1. assign V844315 = V640075 - 1. assign V603850 = V100037. assign V496550 = V712829 + 1. assign V740387 = V181142 - 1. assign V265320 = V156969 + 1. assign V274980 = V211458 + 1. assign V355848 = V660305. assign V913431 = V144924 + 1. assign V389124 = V591816 + 1. assign V148411 = V620750. assign V328901 = V797379 - 1. assign V025169 = V898604 + 1. assign V801024 = V636450. assign V759168 = V092508. assign V867190 = V999554 - 1. assign V411956 = V712829 - 1. assign V732641 = V989741 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V429068 = V153017. assign V100037 = V592262. assign V240885 = V801024. assign V961905 = V015596 - 1. assign V295667 = V355182. assign V859017 = V299999. assign V756917 = V175534 + 1. assign V625791 = V156562 - 1. assign V788850 = V870027. assign V868695 = V525217 + 1. assign V572332 = V923388 - 1. assign V312914 = V390063 - 1. assign V223217 = V525217 + 1. assign V822897 = V636450 - 1. assign V612403 = V980253 + 1. assign V424763 = V779240 + 1. assign V270770 = V403102 - 1. assign V450186 = V319555. assign V870027 = V910835 - 1. assign V094260 = V591816. assign V617056 = V406978. assign V321799 = V312914. assign V355319 = V249347 - 1. assign V619759 = V100037. assign V274281 = V968827 - 1. assign V355182 = V312914 - 1. assign V067353 = V427791 + 1. assign V325593 = V603089 - 1. assign V570445 = V073158 - 1. assign V421721 = V039024 + 1. assign V092259 = V316229 + 1. assign V268740 = V572332 - 1. assign V620750 = V191024. assign V663583 = V620750. assign V876930 = V153017 - 1. assign V471534 = V620750 - 1. assign V857279 = V465657 - 1. assign V932144 = V572284 - 1. assign V756150 = V196501 + 1. assign V299165 = V127467. assign V700271 = V406978. assign V112634 = V403102 + 1. assign V754193 = V021744 + 1. assign V817703 = V148411. assign V454652 = V756150 - 1. assign V353974 = V432160 + 1. assign V592262 = V898604 - 1. assign V392506 = V545119. assign V518398 = V640075. assign V159693 = V406978 + 1. assign V970839 = V319555 - 1. assign V219215 = V343182. assign V516479 = V403102 - 1. assign V395343 = V705310 - 1. assign V007096 = V060978. assign V894893 = V317125. assign V156878 = V850407 - 1. assign V214830 = V177234 - 1. assign V534204 = V898604 - 1. assign V196173 = V722203 - 1. assign V249952 = V876930. assign V529272 = V317125. assign V884073 = V875334 - 1. assign V156969 = V898604. assign V479892 = V427791. assign V330000 = V085191 - 1. assign V270642 = V401077 - 1. assign V520042 = V179979 - 1. assign V027763 = V252596 + 1. assign V317674 = V706127 + 1. assign V197326 = V330000. assign V352869 = V270642. assign V694322 = V868695 + 1. assign V261690 = V185383. assign V092508 = V276827 - 1. assign V696525 = V225043. assign V222162 = V559793 - 1. assign V673438 = V450186. assign V497776 = V620775 - 1. assign V432684 = V223217. assign V299999 = V870027 - 1. assign V249730 = V201115 - 1. assign V021744 = V401077 - 1. assign V318171 = V089900 - 1. assign V694057 = V299999 + 1. assign V567144 = V455923 - 1. assign V447543 = V144924 - 1. assign V089900 = V656168 - 1. assign V980253 = V057213 + 1. assign V859134 = V754193. assign V749953 = V955042. assign V005596 = V534498 - 1. assign V225043 = V406978 + 1. assign V146443 = V057213 + 1. assign V322192 = V640075 + 1. assign V394624 = V384989 - 1. assign V185383 = V445956 + 1. assign V211458 = V910835. assign V266525 = V378826 - 1. assign V327693 = V773028. assign V499983 = V039024 + 1. assign V114117 = V211458 - 1. assign V690861 = V961905. assign V130238 = V223217 - 1. assign V738916 = V177234. assign V807924 = V127467. assign V479676 = V450951. assign V603089 = V884314 - 1. assign V591816 = V636450 - 1. assign V649655 = V801024. assign V657561 = V262000 - 1. assign V432223 = V756150 - 1. assign V722267 = V898604. assign V270831 = V428322 + 1. assign V805407 = V801024. assign V071074 = V559793 - 1. assign V378826 = V534204 + 1. assign V845687 = V738916 + 1. assign V554452 = V085191. assign V712829 = V572332 + 1. assign V401327 = V079628 + 1. assign V275950 = V545119. assign V127467 = V797379 - 1. assign V183205 = V445956 - 1. assign V635248 = V113037 - 1. assign V113037 = V479649 + 1. assign V743959 = V024418 + 1. assign V500588 = V450951. assign V156562 = V113037. assign V090724 = V071074. assign V423651 = V429068 + 1. assign V706127 = V500045 + 1. assign V154608 = V240885 - 1. assign V011610 = V321799 - 1. assign V834577 = V661804. assign V716901 = V946144. assign V233810 = V636450 + 1. assign V333721 = V661804. assign V262000 = V270642 - 1. assign V968827 = V153017 - 1. assign V779240 = V797379 - 1. assign V906834 = V275344 + 1. assign V781377 = V722267 - 1. assign V636450 = V525217 - 1. assign V996857 = V156969 - 1. assign V079628 = V439094 + 1. assign V447230 = V299165. assign V545119 = V092259. assign V357241 = V591816 - 1. assign V568202 = V685063 - 1. assign V144924 = V525217 - 1. assign V989100 = V999554. assign V439094 = V465657. assign V951459 = V270770 + 1. assign V721954 = V943525 - 1. assign V263228 = V661804 - 1. assign V943525 = V805407. assign V895417 = V707507 - 1. assign V011726 = V572284. assign V656168 = V211458. assign V705310 = V401077 + 1. assign V339070 = V275344. assign V985489 = V058354 + 1. assign V907464 = V223217 - 1. assign V445956 = V868695 - 1. assign V824752 = V445956 - 1. assign V836768 = V759168 + 1. assign V693746 = V850407 - 1. assign V723070 = V894893 + 1. assign V363215 = V257201 - 1. assign V661804 = V694322 - 1. assign V547826 = V572284 + 1. assign V343182 = V970839 + 1. assign V429588 = V024418. assign V809257 = V946602. assign V276827 = V465657. assign V836712 = V017553. assign V428322 = V913431 - 1. assign V281631 = V884314. assign V384989 = 9. assign V722203 = V406978 - 1. assign V073158 = V222162 + 1. assign V308475 = V547826 + 1. assign V440538 = V317125. assign V060978 = V685063 - 1. assign V859281 = V225043. assign V620775 = V479649 + 1. assign V809472 = V932144. assign V989741 = V092259. assign V250263 = V222466 - 1. assign V058354 = V394624 - 1. assign V336549 = V175534. assign V838063 = V598397 - 1. assign V639306 = V759168 - 1. assign V681388 = V531523 - 1. assign V124619 = V429068 + 1. assign V736176 = V113037. assign V572284 = V961905 - 1. assign V750952 = V233051. assign V275344 = V144924 + 1. assign V041090 = V660305. assign V946602 = V390063 - 1. assign V500045 = V603089 + 1. assign V773028 = V534498 - 1. assign V411644 = V545119 - 1. assign V730120 = V661804 - 1. assign V403102 = V610788 + 1. assign V167593 = V112634 - 1. assign V450951 = V183205 + 1. assign V525217 = V910835. assign V179979 = V071074 + 1. assign V113966 = V531523 + 1. assign V024418 = V113966 + 1. assign V697298 = V805407 - 1. assign V984498 = V750952 - 1. assign V830120 = V779240 - 1. assign V093859 = V479892 - 1. assign V668242 = V807924. assign V946144 = V465657 + 1. assign V432160 = V809257 + 1. assign V317125 = V008215 - 1. assign V508925 = V479649 - 1. assign V249347 = V636450 - 1. assign V707507 = V730120. assign V797379 = V275344 + 1. assign V252596 = V610788 - 1. assign V254060 = V732641. assign V660305 = V333721. assign V482855 = V531523 - 1. assign V112135 = V701166 + 1. assign V556050 = V619759 - 1. assign V408312 = V144924 + 1. assign V494410 = V534204 + 1. assign V923388 = V156562 - 1. assign V040212 = V636450 - 1. assign V517808 = V923388 + 1. assign V085191 = V127467 - 1. assign V063158 = V970839 + 1. assign V168128 = V685063. assign V039625 = V357241. assign V496865 = V660305 - 1. assign V610788 = V094260. assign V257201 = V754193. assign V898604 = V223217 + 1. assign V837321 = V805407 - 1. assign V501290 = V281631 - 1. assign V955042 = V661804. assign V455923 = V749953 + 1. assign V955902 = V759168 - 1. assign V181142 = V706127 + 1. assign V592571 = V946644 - 1. assign V465657 = V636450 - 1. assign V331496 = V797379 - 1. assign V909846 = V918911 + 1. assign V304710 = V525217. assign V177234 = V547826 - 1. assign V464180 = V015596 - 1. assign V898742 = V649655 + 1. assign V181422 = V989741 - 1. assign V186232 = V951459. assign V191024 = V525217 - 1. assign V640757 = V270642 + 1. assign V479649 = V910835. assign V638363 = V610788. assign V967954 = V876930 - 1. assign V280619 = V401077 - 1. assign V999554 = V039024. assign V880954 = V514713 + 1. assign V201115 = V289750. assign V401077 = V913431 + 1. assign V227919 = V875334 + 1. assign V204366 = V545119 + 1. assign V015596 = V191024 - 1. assign V789124 = V445956 + 1. assign V325244 = V384989 - 1. assign V860347 = V427791. assign V723831 = V559793 - 1. assign V196501 = V592571. assign V316229 = V317125 + 1. assign V482437 = V514713. assign V057213 = V906834 - 1. assign V319555 = V910835 - 1. assign V406978 = V144924. assign V289750 = V961905 - 1. assign V685063 = V191024 + 1. assign V806557 = V114117. assign V647389 = V499983 - 1. assign V390063 = V233051. assign V918911 = V868695 + 1. assign V659397 = V859017. assign V566110 = V317125 - 1. assign V694942 = V534204. assign V607031 = V233810 - 1. assign V372107 = V249952 - 1. assign V329083 = V113966 + 1. assign V701166 = V355319 - 1. assign V884314 = V144924 + 1. assign V222466 = V025169 - 1. assign V175534 = V955042 + 1. assign V767592 = V196501 - 1. assign V233051 = V805407 + 1. assign V341082 = V465657. assign V017553 = V471534 + 1. assign V645984 = V525217. assign V534498 = V884314. assign V471456 = V233051 + 1. assign V798816 = V636450 + 1. assign V362630 = V445956 - 1. assign V231455 = V690861. assign V946644 = V906834 + 1. assign V000177 = V231455. assign V514713 = V211458 - 1. assign V875334 = V756150 - 1. assign V705242 = V661804 - 1. assign V901573 = V482855 + 1. assign V447928 = V525217 + 1. assign V165870 = V809257. assign V531523 = V898604. assign V700403 = V932144. assign V153017 = V130238 + 1. assign V559793 = V223217 - 1. assign V850407 = V525217 + 1. assign V598397 = V276827 + 1. assign V166038 = V789124 + 1. assign V039024 = V130238. assign V834659 = V403102 + 1. assign V746185 = V736176. assign V908653 = V328901 - 1. assign V640075 = V685063. assign V638780 = V281631. assign V008215 = V233810. assign V654137 = V114117 - 1. assign V560480 = V534204 + 1. assign V427791 = V384989 + 1. assign V844315 = V640075 - 1. assign V603850 = V100037. assign V496550 = V712829 + 1. assign V740387 = V181142 - 1. assign V265320 = V156969 + 1. assign V274980 = V211458 + 1. assign V355848 = V660305. assign V913431 = V144924 + 1. assign V389124 = V591816 + 1. assign V148411 = V620750. assign V328901 = V797379 - 1. assign V025169 = V898604 + 1. assign V801024 = V636450. assign V759168 = V092508. assign V867190 = V999554 - 1. assign V411956 = V712829 - 1. assign V732641 = V989741 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV384989 = 9;\n\nFrom these direct assignment(s), we have: \nV427791 = V384989 + 1 = 9 + 1 =10;\nV860347 = V427791 = 10;\nNo other varaibles can be derived from V860347;\nV479892 = V427791 = 10;\nV093859 = V479892 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V093859;\nNo other varaibles can be derived from V479892;\nV067353 = V427791 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V067353;\nNo other varaibles can be derived from V427791;\nV325244 = V384989 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V325244;\nV394624 = V384989 - 1 = 9 - 1 =8;\nV058354 = V394624 - 1 = 8 - 1 =7;\nV985489 = V058354 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V985489;\nNo other varaibles can be derived from V058354;\nNo other varaibles can be derived from V394624;\nNo other varaibles can be derived from V384989;\n\nNow we have done all the calculations. Derived variables are:\nV384989 = 9;\nV427791 = 10;\nV860347 = 10;\nV479892 = 10;\nV093859 = 9;\nV067353 = 11;\nV325244 = 8;\nV394624 = 8;\nV058354 = 7;\nV985489 = 8;\n\nNow we have finished this problem. ANSWER:\nV067353\n", "role": "assistant" } ]

[ "V466879", "V977627", "V123090", "V143782", "V456252" ]

[ { "content": "<context>\nassign V821060 = V621925. assign V478486 = V158070 + 1. assign V741424 = V272296 + 1. assign V776662 = V875983. assign V463967 = V553232. assign V523145 = V401170 + 1. assign V401370 = V747909 - 1. assign V252802 = V034240. assign V282836 = V080680. assign V217323 = V621925. assign V197748 = V777449 + 1. assign V378012 = V821975. assign V845848 = V874461 - 1. assign V276039 = V219674. assign V412378 = V338380. assign V874461 = V213070 - 1. assign V516510 = V515775 + 1. assign V202507 = V279154 - 1. assign V461856 = V796912 + 1. assign V318912 = V502066. assign V894537 = V460474 + 1. assign V811315 = V401170 + 1. assign V720965 = V136607 + 1. assign V165038 = V777449 - 1. assign V791286 = V364308 + 1. assign V994026 = V905444. assign V599614 = V821060. assign V906826 = V777449 - 1. assign V314638 = V664944 - 1. assign V017340 = V205443. assign V407639 = V725748 - 1. assign V379844 = V725748. assign V103609 = V804460 - 1. assign V094777 = V575737 + 1. assign V181570 = V196210 + 1. assign V338380 = V017340 + 1. assign V223681 = V667840 - 1. assign V804460 = V553232. assign V338016 = V699119 + 1. assign V276935 = V460474 + 1. assign V973988 = V539893 + 1. assign V905444 = V221360 - 1. assign V648381 = V553232 - 1. assign V304694 = V094402 + 1. assign V521603 = V466879 + 1. assign V936174 = V080680 - 1. assign V132029 = V300535 + 1. assign V997239 = V412378 + 1. assign V499294 = V515775 - 1. assign V595796 = V300535 - 1. assign V571902 = V224604. assign V684490 = V017340 - 1. assign V725748 = V244281 + 1. assign V629446 = V215738 - 1. assign V886462 = V825154 + 1. assign V705610 = V373739 + 1. assign V522820 = V454054 + 1. assign V615425 = V472389 + 1. assign V758561 = V577391. assign V473252 = V568916 - 1. assign V597493 = V676634 + 1. assign V135367 = V898829. assign V010934 = V687036 + 1. assign V515775 = V974961. assign V182426 = V106370. assign V407849 = V916895 - 1. assign V977120 = V978590 + 1. assign V458640 = V870574 - 1. assign V119215 = V758561. assign V232805 = V916895 - 1. assign V797326 = V244281 - 1. assign V224604 = V708858 - 1. assign V308810 = V442930. assign V430799 = V104914 - 1. assign V292039 = V804460. assign V777449 = V621925. assign V978408 = V072034 + 1. assign V935367 = V629446 + 1. assign V661640 = V535589 - 1. assign V602749 = V494784. assign V080680 = V544886 + 1. assign V502066 = V535589. assign V867549 = V028184 + 1. assign V877480 = V892277 - 1. assign V738575 = V070375 - 1. assign V254784 = V499294 - 1. assign V980871 = V080680. assign V419164 = V106370 - 1. assign V587390 = V379844 + 1. assign V664944 = V991172. assign V760452 = V780993 + 1. assign V767608 = V508761. assign V568916 = V373739 + 1. assign V735681 = V905444. assign V220575 = V974961. assign V902976 = V684490 + 1. assign V203281 = V811315 - 1. assign V699119 = V886462. assign V545682 = V410631 + 1. assign V720172 = V364308 - 1. assign V241787 = V723548. assign V683582 = V935367 - 1. assign V154695 = V725748. assign V451699 = V916895 - 1. assign V340402 = V648381. assign V825154 = V821975 - 1. assign V244281 = V017340 - 1. assign V436438 = V577391 - 1. assign V609577 = V289336 + 1. assign V994497 = V383862 - 1. assign V894123 = V934239 + 1. assign V185193 = V760452 + 1. assign V586486 = V916895. assign V495878 = V478486 + 1. assign V582599 = V705280 - 1. assign V964371 = V904525 - 1. assign V407807 = V374497. assign V377469 = V219674 - 1. assign V328944 = V705280 - 1. assign V107998 = V104462 - 1. assign V034240 = V835319 + 1. assign V481271 = V080680 - 1. assign V051058 = V094402. assign V508761 = V407639 - 1. assign V704061 = V934239 + 1. assign V498000 = V741424 - 1. assign V301228 = V838974 + 1. assign V974961 = V017340 - 1. assign V377443 = V017340 - 1. assign V892277 = V095463 - 1. assign V422627 = V780993 - 1. assign V472389 = V418540. assign V272296 = V701952. assign V581776 = V821975. assign V676634 = V119309 - 1. assign V934239 = V279154 - 1. assign V539893 = V374497 + 1. assign V978590 = V293937. assign V835319 = V539893 - 1. assign V017195 = V796991. assign V158070 = V017340. assign V092851 = V314638. assign V819892 = V220575 + 1. assign V394094 = V708858 - 1. assign V978603 = V575737 - 1. assign V191180 = V412378 + 1. assign V794133 = V226441 - 1. assign V419497 = V460474 - 1. assign V104462 = V383862 + 1. assign V225212 = V807932. assign V068858 = V158070 - 1. assign V870574 = V661640 + 1. assign V466879 = V807932 - 1. assign V916210 = V308810. assign V886233 = V973988. assign V167843 = V905444 + 1. assign V143782 = V466879. assign V577490 = V821060. assign V294663 = V575737 - 1. assign V916895 = V213070 + 1. assign V577391 = V205443 + 1. assign V559361 = V994026 - 1. assign V669973 = V412378 - 1. assign V734688 = V244281 - 1. assign V136607 = V454054. assign V297434 = V699119. assign V780993 = V080680. assign V226441 = V419497 + 1. assign V287158 = V106370 + 1. assign V701952 = V205443 + 1. assign V104914 = V535589 - 1. assign V553232 = V974961 - 1. assign V207291 = V905444 + 1. assign V519512 = V886462. assign V148296 = V374497. assign V705280 = V095463 + 1. assign V654285 = V377443 + 1. assign V881195 = V794133 - 1. assign V217062 = V902976 + 1. assign V258564 = V621545 + 1. assign V598698 = V807932. assign V687036 = V244281 + 1. assign V935847 = V028184. assign V089298 = V577490 + 1. assign V879586 = V418540 - 1. assign V872578 = V232805. assign V454054 = V220104 - 1. assign V028184 = V205443 + 1. assign V733313 = V158070 - 1. assign V796912 = V539893. assign V248472 = V221360. assign V306178 = V060088 + 1. assign V707727 = V783162 + 1. assign V072034 = V481271. assign V300959 = V629446 - 1. assign V306842 = V893664. assign V278917 = V730069 - 1. assign V084503 = V412378. assign V575737 = V481271. assign V150651 = V621925 + 1. assign V494784 = V481271 - 1. assign V196210 = V162119 - 1. assign V904525 = V373465 - 1. assign V861218 = V568916. assign V953258 = V602749 + 1. assign V391085 = V154695 - 1. assign V880408 = V456252 + 1. assign V374497 = V364308 + 1. assign V631278 = V916895 + 1. assign V807932 = 2. assign V456252 = V123090. assign V723548 = V513896 - 1. assign V066685 = V018886 + 1. assign V401170 = V701952 - 1. assign V662035 = V159806 + 1. assign V074372 = V910909 + 1. assign V377765 = V460474 - 1. assign V830020 = V582599 + 1. assign V243041 = V654285 + 1. assign V757579 = V478278 + 1. assign V418540 = V544886 + 1. assign V070375 = V869117 - 1. assign V655595 = V916895. assign V220104 = V916895 - 1. assign V277955 = V449196 + 1. assign V469024 = V068858 - 1. assign V732223 = V608389 - 1. assign V750244 = V221360 - 1. assign V579629 = V902976. assign V477590 = V825154 - 1. assign V970503 = V893664 - 1. assign V982321 = V276935 + 1. assign V526315 = V519512 + 1. assign V787002 = V944744 - 1. assign V200903 = V586486 - 1. assign V902779 = V213070 - 1. assign V383862 = V494784 + 1. assign V227276 = V114726. assign V182301 = V780993 - 1. assign V060088 = V213070. assign V875983 = V723548 - 1. assign V549645 = V577391 + 1. assign V036084 = V377443 - 1. assign V117029 = V522820 + 1. assign V030827 = V374497 - 1. assign V977627 = V466879. assign V490225 = V300535 + 1. assign V551997 = V553232. assign V114726 = V272296 + 1. assign V478278 = V904525 - 1. assign V991172 = V553232. assign V225601 = V306842 + 1. assign V420321 = V442930 - 1. assign V300535 = V377443 + 1. assign V598471 = V419164. assign V718063 = V767608. assign V664192 = V568916 - 1. assign V976538 = V442930 - 1. assign V632907 = V553232 - 1. assign V289336 = V902976. assign V132612 = V454054 + 1. assign V449196 = V629446 + 1. assign V667840 = V515775 - 1. assign V018886 = V515775. assign V749244 = V191180 + 1. assign V542828 = V892277. assign V544886 = V215738. assign V213070 = V205443. assign V766023 = V898829 - 1. assign V838974 = V684490. assign V796991 = V667840. assign V094402 = V205443. assign V215738 = V874461. assign V034816 = V338380 - 1. assign V279154 = V494784 + 1. assign V745706 = V600249 + 1. assign V442930 = V701952 + 1. assign V750038 = V935847. assign V347715 = V730069. assign V119309 = V568916 - 1. assign V492224 = V130415. assign V086305 = V244281 + 1. assign V293937 = V213070 - 1. assign V162119 = V661640 + 1. assign V747909 = V835319 + 1. assign V869117 = V886462. assign V632260 = V535589. assign V869277 = V278917 - 1. assign V513896 = V687036 - 1. assign V364308 = V205443 - 1. assign V783162 = V667840. assign V771222 = V936174 - 1. assign V047410 = V572067 - 1. assign V278067 = V407639 - 1. assign V910909 = V734688. assign V821975 = V553232 - 1. assign V738183 = V600249. assign V217154 = V867549. assign V004642 = V911606. assign V356751 = V407639 - 1. assign V219674 = V272296 + 1. assign V486274 = V662035 - 1. assign V576263 = V771222. assign V820426 = V119309 - 1. assign V097322 = V599614 + 1. assign V130415 = V494784. assign V572067 = V526315 - 1. assign V621545 = V845848 + 1. assign V621925 = V535589 - 1. assign V781221 = V515775 + 1. assign V516204 = V705610 - 1. assign V221360 = V094402 - 1. assign V460474 = V687036 + 1. assign V911606 = V377469 + 1. assign V535589 = V845848 + 1. assign V928678 = V338016 + 1. assign V887519 = V080680 + 1. assign V145995 = V272296 - 1. assign V603946 = V114726. assign V730069 = V499294 + 1. assign V397836 = V608389 + 1. assign V100148 = V825154 + 1. assign V893664 = V293937 - 1. assign V898829 = V825154. assign V122321 = V893664. assign V295438 = V910909 + 1. assign V725263 = V894537 + 1. assign V785702 = V028184 + 1. assign V608389 = V278067 + 1. assign V373465 = V244281. assign V600816 = V539893 + 1. assign V088623 = V664192. assign V175769 = V887519. assign V106370 = V377765 - 1. assign V583181 = V869117 + 1. assign V159806 = V583181. assign V708858 = V410631 - 1. assign V095463 = V374497 + 1. assign V817701 = V461856 - 1. assign V373739 = V869117. assign V852773 = V420321 + 1. assign V588237 = V796912 + 1. assign V123090 = V807932 - 1. assign V187839 = V886233 + 1. assign V410631 = V379844 + 1. assign V215174 = V196210 - 1. assign V944744 = V442930 + 1. assign V600249 = V407807. assign V872639 = V687036 + 1. assign V215685 = V279154 - 1. assign V284477 = V974961 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V821060 = V621925. assign V478486 = V158070 + 1. assign V741424 = V272296 + 1. assign V776662 = V875983. assign V463967 = V553232. assign V523145 = V401170 + 1. assign V401370 = V747909 - 1. assign V252802 = V034240. assign V282836 = V080680. assign V217323 = V621925. assign V197748 = V777449 + 1. assign V378012 = V821975. assign V845848 = V874461 - 1. assign V276039 = V219674. assign V412378 = V338380. assign V874461 = V213070 - 1. assign V516510 = V515775 + 1. assign V202507 = V279154 - 1. assign V461856 = V796912 + 1. assign V318912 = V502066. assign V894537 = V460474 + 1. assign V811315 = V401170 + 1. assign V720965 = V136607 + 1. assign V165038 = V777449 - 1. assign V791286 = V364308 + 1. assign V994026 = V905444. assign V599614 = V821060. assign V906826 = V777449 - 1. assign V314638 = V664944 - 1. assign V017340 = V205443. assign V407639 = V725748 - 1. assign V379844 = V725748. assign V103609 = V804460 - 1. assign V094777 = V575737 + 1. assign V181570 = V196210 + 1. assign V338380 = V017340 + 1. assign V223681 = V667840 - 1. assign V804460 = V553232. assign V338016 = V699119 + 1. assign V276935 = V460474 + 1. assign V973988 = V539893 + 1. assign V905444 = V221360 - 1. assign V648381 = V553232 - 1. assign V304694 = V094402 + 1. assign V521603 = V466879 + 1. assign V936174 = V080680 - 1. assign V132029 = V300535 + 1. assign V997239 = V412378 + 1. assign V499294 = V515775 - 1. assign V595796 = V300535 - 1. assign V571902 = V224604. assign V684490 = V017340 - 1. assign V725748 = V244281 + 1. assign V629446 = V215738 - 1. assign V886462 = V825154 + 1. assign V705610 = V373739 + 1. assign V522820 = V454054 + 1. assign V615425 = V472389 + 1. assign V758561 = V577391. assign V473252 = V568916 - 1. assign V597493 = V676634 + 1. assign V135367 = V898829. assign V010934 = V687036 + 1. assign V515775 = V974961. assign V182426 = V106370. assign V407849 = V916895 - 1. assign V977120 = V978590 + 1. assign V458640 = V870574 - 1. assign V119215 = V758561. assign V232805 = V916895 - 1. assign V797326 = V244281 - 1. assign V224604 = V708858 - 1. assign V308810 = V442930. assign V430799 = V104914 - 1. assign V292039 = V804460. assign V777449 = V621925. assign V978408 = V072034 + 1. assign V935367 = V629446 + 1. assign V661640 = V535589 - 1. assign V602749 = V494784. assign V080680 = V544886 + 1. assign V502066 = V535589. assign V867549 = V028184 + 1. assign V877480 = V892277 - 1. assign V738575 = V070375 - 1. assign V254784 = V499294 - 1. assign V980871 = V080680. assign V419164 = V106370 - 1. assign V587390 = V379844 + 1. assign V664944 = V991172. assign V760452 = V780993 + 1. assign V767608 = V508761. assign V568916 = V373739 + 1. assign V735681 = V905444. assign V220575 = V974961. assign V902976 = V684490 + 1. assign V203281 = V811315 - 1. assign V699119 = V886462. assign V545682 = V410631 + 1. assign V720172 = V364308 - 1. assign V241787 = V723548. assign V683582 = V935367 - 1. assign V154695 = V725748. assign V451699 = V916895 - 1. assign V340402 = V648381. assign V825154 = V821975 - 1. assign V244281 = V017340 - 1. assign V436438 = V577391 - 1. assign V609577 = V289336 + 1. assign V994497 = V383862 - 1. assign V894123 = V934239 + 1. assign V185193 = V760452 + 1. assign V586486 = V916895. assign V495878 = V478486 + 1. assign V582599 = V705280 - 1. assign V964371 = V904525 - 1. assign V407807 = V374497. assign V377469 = V219674 - 1. assign V328944 = V705280 - 1. assign V107998 = V104462 - 1. assign V034240 = V835319 + 1. assign V481271 = V080680 - 1. assign V051058 = V094402. assign V508761 = V407639 - 1. assign V704061 = V934239 + 1. assign V498000 = V741424 - 1. assign V301228 = V838974 + 1. assign V974961 = V017340 - 1. assign V377443 = V017340 - 1. assign V892277 = V095463 - 1. assign V422627 = V780993 - 1. assign V472389 = V418540. assign V272296 = V701952. assign V581776 = V821975. assign V676634 = V119309 - 1. assign V934239 = V279154 - 1. assign V539893 = V374497 + 1. assign V978590 = V293937. assign V835319 = V539893 - 1. assign V017195 = V796991. assign V158070 = V017340. assign V092851 = V314638. assign V819892 = V220575 + 1. assign V394094 = V708858 - 1. assign V978603 = V575737 - 1. assign V191180 = V412378 + 1. assign V794133 = V226441 - 1. assign V419497 = V460474 - 1. assign V104462 = V383862 + 1. assign V225212 = V807932. assign V068858 = V158070 - 1. assign V870574 = V661640 + 1. assign V466879 = V807932 - 1. assign V916210 = V308810. assign V886233 = V973988. assign V167843 = V905444 + 1. assign V143782 = V466879. assign V577490 = V821060. assign V294663 = V575737 - 1. assign V916895 = V213070 + 1. assign V577391 = V205443 + 1. assign V559361 = V994026 - 1. assign V669973 = V412378 - 1. assign V734688 = V244281 - 1. assign V136607 = V454054. assign V297434 = V699119. assign V780993 = V080680. assign V226441 = V419497 + 1. assign V287158 = V106370 + 1. assign V701952 = V205443 + 1. assign V104914 = V535589 - 1. assign V553232 = V974961 - 1. assign V207291 = V905444 + 1. assign V519512 = V886462. assign V148296 = V374497. assign V705280 = V095463 + 1. assign V654285 = V377443 + 1. assign V881195 = V794133 - 1. assign V217062 = V902976 + 1. assign V258564 = V621545 + 1. assign V598698 = V807932. assign V687036 = V244281 + 1. assign V935847 = V028184. assign V089298 = V577490 + 1. assign V879586 = V418540 - 1. assign V872578 = V232805. assign V454054 = V220104 - 1. assign V028184 = V205443 + 1. assign V733313 = V158070 - 1. assign V796912 = V539893. assign V248472 = V221360. assign V306178 = V060088 + 1. assign V707727 = V783162 + 1. assign V072034 = V481271. assign V300959 = V629446 - 1. assign V306842 = V893664. assign V278917 = V730069 - 1. assign V084503 = V412378. assign V575737 = V481271. assign V150651 = V621925 + 1. assign V494784 = V481271 - 1. assign V196210 = V162119 - 1. assign V904525 = V373465 - 1. assign V861218 = V568916. assign V953258 = V602749 + 1. assign V391085 = V154695 - 1. assign V880408 = V456252 + 1. assign V374497 = V364308 + 1. assign V631278 = V916895 + 1. assign V807932 = 2. assign V456252 = V123090. assign V723548 = V513896 - 1. assign V066685 = V018886 + 1. assign V401170 = V701952 - 1. assign V662035 = V159806 + 1. assign V074372 = V910909 + 1. assign V377765 = V460474 - 1. assign V830020 = V582599 + 1. assign V243041 = V654285 + 1. assign V757579 = V478278 + 1. assign V418540 = V544886 + 1. assign V070375 = V869117 - 1. assign V655595 = V916895. assign V220104 = V916895 - 1. assign V277955 = V449196 + 1. assign V469024 = V068858 - 1. assign V732223 = V608389 - 1. assign V750244 = V221360 - 1. assign V579629 = V902976. assign V477590 = V825154 - 1. assign V970503 = V893664 - 1. assign V982321 = V276935 + 1. assign V526315 = V519512 + 1. assign V787002 = V944744 - 1. assign V200903 = V586486 - 1. assign V902779 = V213070 - 1. assign V383862 = V494784 + 1. assign V227276 = V114726. assign V182301 = V780993 - 1. assign V060088 = V213070. assign V875983 = V723548 - 1. assign V549645 = V577391 + 1. assign V036084 = V377443 - 1. assign V117029 = V522820 + 1. assign V030827 = V374497 - 1. assign V977627 = V466879. assign V490225 = V300535 + 1. assign V551997 = V553232. assign V114726 = V272296 + 1. assign V478278 = V904525 - 1. assign V991172 = V553232. assign V225601 = V306842 + 1. assign V420321 = V442930 - 1. assign V300535 = V377443 + 1. assign V598471 = V419164. assign V718063 = V767608. assign V664192 = V568916 - 1. assign V976538 = V442930 - 1. assign V632907 = V553232 - 1. assign V289336 = V902976. assign V132612 = V454054 + 1. assign V449196 = V629446 + 1. assign V667840 = V515775 - 1. assign V018886 = V515775. assign V749244 = V191180 + 1. assign V542828 = V892277. assign V544886 = V215738. assign V213070 = V205443. assign V766023 = V898829 - 1. assign V838974 = V684490. assign V796991 = V667840. assign V094402 = V205443. assign V215738 = V874461. assign V034816 = V338380 - 1. assign V279154 = V494784 + 1. assign V745706 = V600249 + 1. assign V442930 = V701952 + 1. assign V750038 = V935847. assign V347715 = V730069. assign V119309 = V568916 - 1. assign V492224 = V130415. assign V086305 = V244281 + 1. assign V293937 = V213070 - 1. assign V162119 = V661640 + 1. assign V747909 = V835319 + 1. assign V869117 = V886462. assign V632260 = V535589. assign V869277 = V278917 - 1. assign V513896 = V687036 - 1. assign V364308 = V205443 - 1. assign V783162 = V667840. assign V771222 = V936174 - 1. assign V047410 = V572067 - 1. assign V278067 = V407639 - 1. assign V910909 = V734688. assign V821975 = V553232 - 1. assign V738183 = V600249. assign V217154 = V867549. assign V004642 = V911606. assign V356751 = V407639 - 1. assign V219674 = V272296 + 1. assign V486274 = V662035 - 1. assign V576263 = V771222. assign V820426 = V119309 - 1. assign V097322 = V599614 + 1. assign V130415 = V494784. assign V572067 = V526315 - 1. assign V621545 = V845848 + 1. assign V621925 = V535589 - 1. assign V781221 = V515775 + 1. assign V516204 = V705610 - 1. assign V221360 = V094402 - 1. assign V460474 = V687036 + 1. assign V911606 = V377469 + 1. assign V535589 = V845848 + 1. assign V928678 = V338016 + 1. assign V887519 = V080680 + 1. assign V145995 = V272296 - 1. assign V603946 = V114726. assign V730069 = V499294 + 1. assign V397836 = V608389 + 1. assign V100148 = V825154 + 1. assign V893664 = V293937 - 1. assign V898829 = V825154. assign V122321 = V893664. assign V295438 = V910909 + 1. assign V725263 = V894537 + 1. assign V785702 = V028184 + 1. assign V608389 = V278067 + 1. assign V373465 = V244281. assign V600816 = V539893 + 1. assign V088623 = V664192. assign V175769 = V887519. assign V106370 = V377765 - 1. assign V583181 = V869117 + 1. assign V159806 = V583181. assign V708858 = V410631 - 1. assign V095463 = V374497 + 1. assign V817701 = V461856 - 1. assign V373739 = V869117. assign V852773 = V420321 + 1. assign V588237 = V796912 + 1. assign V123090 = V807932 - 1. assign V187839 = V886233 + 1. assign V410631 = V379844 + 1. assign V215174 = V196210 - 1. assign V944744 = V442930 + 1. assign V600249 = V407807. assign V872639 = V687036 + 1. assign V215685 = V279154 - 1. assign V284477 = V974961 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV807932 = 2;\n\nFrom these direct assignment(s), we have: \nV123090 = V807932 - 1 = 2 - 1 =1;\nV456252 = V123090 = 1;\nV880408 = V456252 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V880408;\nNo other varaibles can be derived from V456252;\nNo other varaibles can be derived from V123090;\nV598698 = V807932 = 2;\nNo other varaibles can be derived from V598698;\nV466879 = V807932 - 1 = 2 - 1 =1;\nV977627 = V466879 = 1;\nNo other varaibles can be derived from V977627;\nV143782 = V466879 = 1;\nNo other varaibles can be derived from V143782;\nV521603 = V466879 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V521603;\nNo other varaibles can be derived from V466879;\nV225212 = V807932 = 2;\nNo other varaibles can be derived from V225212;\nNo other varaibles can be derived from V807932;\n\nNow we have done all the calculations. Derived variables are:\nV807932 = 2;\nV123090 = 1;\nV456252 = 1;\nV880408 = 2;\nV598698 = 2;\nV466879 = 1;\nV977627 = 1;\nV143782 = 1;\nV521603 = 2;\nV225212 = 2;\n\nNow we have finished this problem. ANSWER:\nV123090, V456252, V466879, V977627, V143782\n", "role": "assistant" } ]

[ "V382109", "V695149", "V260780", "V137372" ]

[ { "content": "<context>\nassign V406368 = V487233 + 1. assign V910413 = V290361. assign V302496 = V813723 - 1. assign V884175 = V501273 - 1. assign V384291 = V773504. assign V685088 = V661921 + 1. assign V487233 = V584046. assign V182782 = V744623 + 1. assign V635525 = V194484. assign V418777 = V501625 - 1. assign V581137 = V620421 + 1. assign V226224 = V492030 - 1. assign V752030 = V146091. assign V161891 = V334484. assign V197057 = V838378 + 1. assign V633199 = V287598 - 1. assign V591233 = V501273 - 1. assign V647483 = V996217. assign V196022 = V291232. assign V831332 = V501273 + 1. assign V765987 = V452664 - 1. assign V649309 = V812298 + 1. assign V452664 = V910413. assign V194484 = V590235 + 1. assign V413870 = V375811. assign V044023 = V932034. assign V443563 = V284905 + 1. assign V284905 = V415522 + 1. assign V907197 = V137622. assign V006230 = V120230. assign V137372 = V594842 - 1. assign V832565 = V744480 - 1. assign V227639 = V530687 - 1. assign V895666 = V910413. assign V507549 = V447910 + 1. assign V871127 = V412956. assign V022097 = V197057 + 1. assign V686335 = V759007 + 1. assign V509459 = V330649. assign V867100 = V583207 - 1. assign V807600 = V994474. assign V334991 = V501625. assign V230505 = V397482 + 1. assign V077832 = V729019 + 1. assign V656565 = V591233 + 1. assign V650681 = V773504 - 1. assign V812298 = V062715 - 1. assign V920989 = V381799. assign V979632 = V031818 + 1. assign V290361 = V501273. assign V907043 = V202959. assign V501625 = V501273. assign V711966 = V599417 + 1. assign V397482 = V052929. assign V944736 = V572528 + 1. assign V426876 = V620421. assign V744525 = V424468. assign V137622 = V310177 + 1. assign V334948 = V321201 + 1. assign V184039 = V290361 + 1. assign V323374 = V590235 + 1. assign V680280 = V982475 - 1. assign V710357 = V647483. assign V968528 = V685088. assign V584046 = V799151 + 1. assign V331654 = V993111 + 1. assign V661921 = V384291 + 1. assign V212314 = V151544. assign V329101 = V757482. assign V006923 = V620421. assign V754998 = V838378. assign V291232 = V784978. assign V558503 = V404053. assign V990697 = V100267 + 1. assign V669526 = V331654 + 1. assign V465843 = V303276 + 1. assign V532501 = V685088 - 1. assign V713459 = V685088 + 1. assign V227553 = V320232. assign V312540 = V744480 + 1. assign V629067 = V156267 + 1. assign V132703 = V120230 - 1. assign V151544 = V831828 + 1. assign V679998 = V732923 + 1. assign V406707 = V364204. assign V293637 = V334484. assign V834930 = V367541 - 1. assign V376354 = V680280. assign V011060 = V839082. assign V260780 = V932034 - 1. assign V773504 = V583207. assign V942773 = V910413 - 1. assign V499940 = V811075 + 1. assign V837996 = V194484 + 1. assign V122826 = V711966. assign V202959 = V989133 - 1. assign V682688 = V323374. assign V258616 = V406293 + 1. assign V023533 = V910413 - 1. assign V694087 = V466266. assign V548312 = V418777 - 1. assign V368469 = V583207 - 1. assign V343784 = V868295. assign V764746 = V350577. assign V754776 = V278249 - 1. assign V834670 = V937705. assign V287598 = V591233 - 1. assign V576818 = V023533. assign V265870 = V368469 + 1. assign V961740 = V426876 + 1. assign V415618 = V120230 - 1. assign V330649 = V590235. assign V693001 = V599417 + 1. assign V200774 = V907940. assign V369500 = V406293 - 1. assign V928319 = V551037 - 1. assign V935262 = V447910 - 1. assign V369169 = V669526. assign V090995 = V937705. assign V100267 = V023533 + 1. assign V862333 = V334808 + 1. assign V599417 = V160767 - 1. assign V843665 = V278249. assign V741084 = V583207 - 1. assign V052929 = V160767 + 1. assign V334808 = V415522. assign V639719 = V287598. assign V530687 = V970228 + 1. assign V993111 = V572528 - 1. assign V202794 = V989133 - 1. assign V686929 = V330649. assign V909242 = V584046 - 1. assign V117654 = V744480. assign V466266 = V867533. assign V971979 = V813723 - 1. assign V839082 = V647058 + 1. assign V341495 = V151544. assign V982475 = V910413 + 1. assign V577764 = V331654 + 1. assign V160767 = V656565. assign V254594 = V961438 + 1. assign V907940 = V501273 + 1. assign V367541 = V002044 + 1. assign V399618 = V052929 - 1. assign V197426 = V571822 + 1. assign V471532 = V609913. assign V474767 = V639719 - 1. assign V814735 = V282671 + 1. assign V315972 = V576818. assign V613500 = V744623. assign V159214 = V990697 + 1. assign V775698 = V194484. assign V656927 = V732923 - 1. assign V905234 = V501273 + 1. assign V574430 = V884175 - 1. assign V394610 = V287533 + 1. assign V484589 = V532501. assign V141002 = V330649. assign V031818 = V041302. assign V600417 = V382109 - 1. assign V071511 = V343784 + 1. assign V530993 = V426876 - 1. assign V673103 = V290361. assign V485289 = V368295 - 1. assign V375811 = V488274 + 1. assign V359309 = V306769 - 1. assign V364204 = V101932. assign V503217 = V961438. assign V937705 = V656565. assign V453198 = V006923. assign V878723 = V907197 - 1. assign V416897 = V993111. assign V952441 = V811743. assign V839149 = V466266 - 1. assign V892048 = V487233 + 1. assign V067460 = V006923. assign V414867 = V935262. assign V874852 = V382109 + 1. assign V207752 = V416840. assign V829930 = V884175. assign V661883 = V579169. assign V654306 = V194484 + 1. assign V930609 = V466266. assign V757482 = V413870. assign V424468 = V647058 + 1. assign V156267 = V673103 - 1. assign V583207 = V501273 + 1. assign V845323 = V977078 - 1. assign V120230 = V330649 - 1. assign V368295 = V895666. assign V811743 = V609913 - 1. assign V867533 = V942773 + 1. assign V844643 = V323374. assign V278249 = V101932. assign V729019 = V773504 - 1. assign V009323 = V895666 - 1. assign V763093 = V773504 - 1. assign V694518 = V258616 - 1. assign V868295 = V829930 + 1. assign V761079 = V323374 - 1. assign V710797 = V910413 + 1. assign V970228 = V996217 + 1. assign V170241 = V739916 - 1. assign V742852 = V590235 - 1. assign V744480 = V368295. assign V703455 = V759007. assign V628888 = V927015 - 1. assign V091079 = V812298 + 1. assign V894543 = V258616 - 1. assign V879181 = V414867 + 1. assign V319119 = V673103. assign V825416 = V680280 + 1. assign V415522 = V447910. assign V357963 = V679998 + 1. assign V306769 = V693001 + 1. assign V594842 = V382109 + 1. assign V759007 = V194484 - 1. assign V766436 = V084885. assign V431342 = V240823. assign V254262 = V306593 - 1. assign V752251 = V686929 + 1. assign V421249 = V265870. assign V659935 = V031818 - 1. assign V547627 = V160767. assign V309695 = V151544. assign V382109 = V044023 - 1. assign V987558 = V920989 - 1. assign V713462 = V656565 - 1. assign V432086 = V258616 + 1. assign V377451 = V551037 + 1. assign V447381 = V609913. assign V321314 = V137622 - 1. assign V579169 = V551037 + 1. assign V225243 = V031818. assign V580688 = V161891 + 1. assign V310177 = V682688 + 1. assign V496449 = V910413. assign V501613 = V117654. assign V226197 = V744480 - 1. assign V424776 = V583207 - 1. assign V917372 = V330649 + 1. assign V357095 = V650681 + 1. assign V579749 = V265870 + 1. assign V041302 = V591233 - 1. assign V590478 = V927015. assign V462553 = V421249 + 1. assign V168995 = V413870 - 1. assign V838378 = V732923 - 1. assign V100679 = V825416 - 1. assign V932034 = 2. assign V406293 = V334484. assign V647058 = V120230 + 1. assign V572528 = V910413 + 1. assign V823270 = V647058 + 1. assign V084885 = V031818. assign V912468 = V761079 - 1. assign V488274 = V910413 - 1. assign V990149 = V330649 - 1. assign V404053 = V920989. assign V180125 = V159214 + 1. assign V002044 = V496449 - 1. assign V351784 = V656565. assign V416840 = V330649. assign V985112 = V375811. assign V303276 = V284905 - 1. assign V073241 = V894543 - 1. assign V805540 = V258616. assign V996217 = V160767 - 1. assign V993225 = V151810. assign V571822 = V867533. assign V380019 = V686929 + 1. assign V451925 = V693001. assign V151810 = V989133. assign V448844 = V334808 + 1. assign V784978 = V101932 + 1. assign V102501 = V695149 + 1. assign V240823 = V432086. assign V732923 = V384291 + 1. assign V478914 = V406293 + 1. assign V306593 = V406293 + 1. assign V358073 = V910413 + 1. assign V894236 = V090995 + 1. assign V551037 = V576818 + 1. assign V546519 = V448844 - 1. assign V133752 = V647058 - 1. assign V001449 = V062715 + 1. assign V514847 = V006923 - 1. assign V412956 = V315972 + 1. assign V811075 = V799151. assign V321201 = V415522 - 1. assign V831828 = V682688. assign V182189 = V501625. assign V682520 = V682688 + 1. assign V282671 = V414867. assign V167592 = V599417 - 1. assign V172484 = V091079 - 1. assign V122386 = V909242. assign V609913 = V001449 + 1. assign V714170 = V807519 - 1. assign V590235 = V290361 + 1. assign V003337 = V942773. assign V994474 = V982475. assign V350577 = V351784 + 1. assign V162597 = V453198. assign V557126 = V431342. assign V492030 = V168995. assign V744623 = V656565. assign V877128 = V160767. assign V573255 = V572528 + 1. assign V099068 = V656927 - 1. assign V320232 = V014228. assign V685504 = V884175 + 1. assign V903113 = V613500. assign V120205 = V839149 + 1. assign V884123 = V100267 + 1. assign V543644 = V713459 - 1. assign V605196 = V100267. assign V831874 = V710797. assign V642874 = V867533 + 1. assign V799151 = V290361 + 1. assign V101932 = V573255 - 1. assign V598346 = V682688 + 1. assign V424541 = V591233 + 1. assign V220748 = V917372. assign V695149 = V932034 - 1. assign V170487 = V920989 + 1. assign V381799 = V452664 - 1. assign V739916 = V907197 + 1. assign V414954 = V002044. assign V568691 = V321314 + 1. assign V714307 = V661883 - 1. assign V447910 = V910413. assign V989133 = V679998 + 1. assign V334484 = V501273 - 1. assign V062715 = V452664. assign V977078 = V968528 + 1. assign V932042 = V584046 + 1. assign V805457 = V194484. assign V620421 = V682688 + 1. assign V014228 = V744623. assign V649142 = V265870. assign V813723 = V581137 + 1. assign V807519 = V654306. assign V317537 = V202794 + 1. assign V233358 = V452664 + 1. assign V146091 = V424468 - 1. assign V219461 = V732923. assign V693188 = V639719 - 1. assign V927015 = V844643. assign V961438 = V167592. assign V287533 = V884175 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V406368 = V487233 + 1. assign V910413 = V290361. assign V302496 = V813723 - 1. assign V884175 = V501273 - 1. assign V384291 = V773504. assign V685088 = V661921 + 1. assign V487233 = V584046. assign V182782 = V744623 + 1. assign V635525 = V194484. assign V418777 = V501625 - 1. assign V581137 = V620421 + 1. assign V226224 = V492030 - 1. assign V752030 = V146091. assign V161891 = V334484. assign V197057 = V838378 + 1. assign V633199 = V287598 - 1. assign V591233 = V501273 - 1. assign V647483 = V996217. assign V196022 = V291232. assign V831332 = V501273 + 1. assign V765987 = V452664 - 1. assign V649309 = V812298 + 1. assign V452664 = V910413. assign V194484 = V590235 + 1. assign V413870 = V375811. assign V044023 = V932034. assign V443563 = V284905 + 1. assign V284905 = V415522 + 1. assign V907197 = V137622. assign V006230 = V120230. assign V137372 = V594842 - 1. assign V832565 = V744480 - 1. assign V227639 = V530687 - 1. assign V895666 = V910413. assign V507549 = V447910 + 1. assign V871127 = V412956. assign V022097 = V197057 + 1. assign V686335 = V759007 + 1. assign V509459 = V330649. assign V867100 = V583207 - 1. assign V807600 = V994474. assign V334991 = V501625. assign V230505 = V397482 + 1. assign V077832 = V729019 + 1. assign V656565 = V591233 + 1. assign V650681 = V773504 - 1. assign V812298 = V062715 - 1. assign V920989 = V381799. assign V979632 = V031818 + 1. assign V290361 = V501273. assign V907043 = V202959. assign V501625 = V501273. assign V711966 = V599417 + 1. assign V397482 = V052929. assign V944736 = V572528 + 1. assign V426876 = V620421. assign V744525 = V424468. assign V137622 = V310177 + 1. assign V334948 = V321201 + 1. assign V184039 = V290361 + 1. assign V323374 = V590235 + 1. assign V680280 = V982475 - 1. assign V710357 = V647483. assign V968528 = V685088. assign V584046 = V799151 + 1. assign V331654 = V993111 + 1. assign V661921 = V384291 + 1. assign V212314 = V151544. assign V329101 = V757482. assign V006923 = V620421. assign V754998 = V838378. assign V291232 = V784978. assign V558503 = V404053. assign V990697 = V100267 + 1. assign V669526 = V331654 + 1. assign V465843 = V303276 + 1. assign V532501 = V685088 - 1. assign V713459 = V685088 + 1. assign V227553 = V320232. assign V312540 = V744480 + 1. assign V629067 = V156267 + 1. assign V132703 = V120230 - 1. assign V151544 = V831828 + 1. assign V679998 = V732923 + 1. assign V406707 = V364204. assign V293637 = V334484. assign V834930 = V367541 - 1. assign V376354 = V680280. assign V011060 = V839082. assign V260780 = V932034 - 1. assign V773504 = V583207. assign V942773 = V910413 - 1. assign V499940 = V811075 + 1. assign V837996 = V194484 + 1. assign V122826 = V711966. assign V202959 = V989133 - 1. assign V682688 = V323374. assign V258616 = V406293 + 1. assign V023533 = V910413 - 1. assign V694087 = V466266. assign V548312 = V418777 - 1. assign V368469 = V583207 - 1. assign V343784 = V868295. assign V764746 = V350577. assign V754776 = V278249 - 1. assign V834670 = V937705. assign V287598 = V591233 - 1. assign V576818 = V023533. assign V265870 = V368469 + 1. assign V961740 = V426876 + 1. assign V415618 = V120230 - 1. assign V330649 = V590235. assign V693001 = V599417 + 1. assign V200774 = V907940. assign V369500 = V406293 - 1. assign V928319 = V551037 - 1. assign V935262 = V447910 - 1. assign V369169 = V669526. assign V090995 = V937705. assign V100267 = V023533 + 1. assign V862333 = V334808 + 1. assign V599417 = V160767 - 1. assign V843665 = V278249. assign V741084 = V583207 - 1. assign V052929 = V160767 + 1. assign V334808 = V415522. assign V639719 = V287598. assign V530687 = V970228 + 1. assign V993111 = V572528 - 1. assign V202794 = V989133 - 1. assign V686929 = V330649. assign V909242 = V584046 - 1. assign V117654 = V744480. assign V466266 = V867533. assign V971979 = V813723 - 1. assign V839082 = V647058 + 1. assign V341495 = V151544. assign V982475 = V910413 + 1. assign V577764 = V331654 + 1. assign V160767 = V656565. assign V254594 = V961438 + 1. assign V907940 = V501273 + 1. assign V367541 = V002044 + 1. assign V399618 = V052929 - 1. assign V197426 = V571822 + 1. assign V471532 = V609913. assign V474767 = V639719 - 1. assign V814735 = V282671 + 1. assign V315972 = V576818. assign V613500 = V744623. assign V159214 = V990697 + 1. assign V775698 = V194484. assign V656927 = V732923 - 1. assign V905234 = V501273 + 1. assign V574430 = V884175 - 1. assign V394610 = V287533 + 1. assign V484589 = V532501. assign V141002 = V330649. assign V031818 = V041302. assign V600417 = V382109 - 1. assign V071511 = V343784 + 1. assign V530993 = V426876 - 1. assign V673103 = V290361. assign V485289 = V368295 - 1. assign V375811 = V488274 + 1. assign V359309 = V306769 - 1. assign V364204 = V101932. assign V503217 = V961438. assign V937705 = V656565. assign V453198 = V006923. assign V878723 = V907197 - 1. assign V416897 = V993111. assign V952441 = V811743. assign V839149 = V466266 - 1. assign V892048 = V487233 + 1. assign V067460 = V006923. assign V414867 = V935262. assign V874852 = V382109 + 1. assign V207752 = V416840. assign V829930 = V884175. assign V661883 = V579169. assign V654306 = V194484 + 1. assign V930609 = V466266. assign V757482 = V413870. assign V424468 = V647058 + 1. assign V156267 = V673103 - 1. assign V583207 = V501273 + 1. assign V845323 = V977078 - 1. assign V120230 = V330649 - 1. assign V368295 = V895666. assign V811743 = V609913 - 1. assign V867533 = V942773 + 1. assign V844643 = V323374. assign V278249 = V101932. assign V729019 = V773504 - 1. assign V009323 = V895666 - 1. assign V763093 = V773504 - 1. assign V694518 = V258616 - 1. assign V868295 = V829930 + 1. assign V761079 = V323374 - 1. assign V710797 = V910413 + 1. assign V970228 = V996217 + 1. assign V170241 = V739916 - 1. assign V742852 = V590235 - 1. assign V744480 = V368295. assign V703455 = V759007. assign V628888 = V927015 - 1. assign V091079 = V812298 + 1. assign V894543 = V258616 - 1. assign V879181 = V414867 + 1. assign V319119 = V673103. assign V825416 = V680280 + 1. assign V415522 = V447910. assign V357963 = V679998 + 1. assign V306769 = V693001 + 1. assign V594842 = V382109 + 1. assign V759007 = V194484 - 1. assign V766436 = V084885. assign V431342 = V240823. assign V254262 = V306593 - 1. assign V752251 = V686929 + 1. assign V421249 = V265870. assign V659935 = V031818 - 1. assign V547627 = V160767. assign V309695 = V151544. assign V382109 = V044023 - 1. assign V987558 = V920989 - 1. assign V713462 = V656565 - 1. assign V432086 = V258616 + 1. assign V377451 = V551037 + 1. assign V447381 = V609913. assign V321314 = V137622 - 1. assign V579169 = V551037 + 1. assign V225243 = V031818. assign V580688 = V161891 + 1. assign V310177 = V682688 + 1. assign V496449 = V910413. assign V501613 = V117654. assign V226197 = V744480 - 1. assign V424776 = V583207 - 1. assign V917372 = V330649 + 1. assign V357095 = V650681 + 1. assign V579749 = V265870 + 1. assign V041302 = V591233 - 1. assign V590478 = V927015. assign V462553 = V421249 + 1. assign V168995 = V413870 - 1. assign V838378 = V732923 - 1. assign V100679 = V825416 - 1. assign V932034 = 2. assign V406293 = V334484. assign V647058 = V120230 + 1. assign V572528 = V910413 + 1. assign V823270 = V647058 + 1. assign V084885 = V031818. assign V912468 = V761079 - 1. assign V488274 = V910413 - 1. assign V990149 = V330649 - 1. assign V404053 = V920989. assign V180125 = V159214 + 1. assign V002044 = V496449 - 1. assign V351784 = V656565. assign V416840 = V330649. assign V985112 = V375811. assign V303276 = V284905 - 1. assign V073241 = V894543 - 1. assign V805540 = V258616. assign V996217 = V160767 - 1. assign V993225 = V151810. assign V571822 = V867533. assign V380019 = V686929 + 1. assign V451925 = V693001. assign V151810 = V989133. assign V448844 = V334808 + 1. assign V784978 = V101932 + 1. assign V102501 = V695149 + 1. assign V240823 = V432086. assign V732923 = V384291 + 1. assign V478914 = V406293 + 1. assign V306593 = V406293 + 1. assign V358073 = V910413 + 1. assign V894236 = V090995 + 1. assign V551037 = V576818 + 1. assign V546519 = V448844 - 1. assign V133752 = V647058 - 1. assign V001449 = V062715 + 1. assign V514847 = V006923 - 1. assign V412956 = V315972 + 1. assign V811075 = V799151. assign V321201 = V415522 - 1. assign V831828 = V682688. assign V182189 = V501625. assign V682520 = V682688 + 1. assign V282671 = V414867. assign V167592 = V599417 - 1. assign V172484 = V091079 - 1. assign V122386 = V909242. assign V609913 = V001449 + 1. assign V714170 = V807519 - 1. assign V590235 = V290361 + 1. assign V003337 = V942773. assign V994474 = V982475. assign V350577 = V351784 + 1. assign V162597 = V453198. assign V557126 = V431342. assign V492030 = V168995. assign V744623 = V656565. assign V877128 = V160767. assign V573255 = V572528 + 1. assign V099068 = V656927 - 1. assign V320232 = V014228. assign V685504 = V884175 + 1. assign V903113 = V613500. assign V120205 = V839149 + 1. assign V884123 = V100267 + 1. assign V543644 = V713459 - 1. assign V605196 = V100267. assign V831874 = V710797. assign V642874 = V867533 + 1. assign V799151 = V290361 + 1. assign V101932 = V573255 - 1. assign V598346 = V682688 + 1. assign V424541 = V591233 + 1. assign V220748 = V917372. assign V695149 = V932034 - 1. assign V170487 = V920989 + 1. assign V381799 = V452664 - 1. assign V739916 = V907197 + 1. assign V414954 = V002044. assign V568691 = V321314 + 1. assign V714307 = V661883 - 1. assign V447910 = V910413. assign V989133 = V679998 + 1. assign V334484 = V501273 - 1. assign V062715 = V452664. assign V977078 = V968528 + 1. assign V932042 = V584046 + 1. assign V805457 = V194484. assign V620421 = V682688 + 1. assign V014228 = V744623. assign V649142 = V265870. assign V813723 = V581137 + 1. assign V807519 = V654306. assign V317537 = V202794 + 1. assign V233358 = V452664 + 1. assign V146091 = V424468 - 1. assign V219461 = V732923. assign V693188 = V639719 - 1. assign V927015 = V844643. assign V961438 = V167592. assign V287533 = V884175 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV932034 = 2;\n\nFrom these direct assignment(s), we have: \nV695149 = V932034 - 1 = 2 - 1 =1;\nV102501 = V695149 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V102501;\nNo other varaibles can be derived from V695149;\nV260780 = V932034 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V260780;\nV044023 = V932034 = 2;\nV382109 = V044023 - 1 = 2 - 1 =1;\nV594842 = V382109 + 1 = 1 + 1 =2;\nV137372 = V594842 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V137372;\nNo other varaibles can be derived from V594842;\nV874852 = V382109 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V874852;\nV600417 = V382109 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V600417;\nNo other varaibles can be derived from V382109;\nNo other varaibles can be derived from V044023;\nNo other varaibles can be derived from V932034;\n\nNow we have done all the calculations. Derived variables are:\nV932034 = 2;\nV695149 = 1;\nV102501 = 2;\nV260780 = 1;\nV044023 = 2;\nV382109 = 1;\nV594842 = 2;\nV137372 = 1;\nV874852 = 2;\nV600417 = 0;\n\nNow we have finished this problem. ANSWER:\nV695149, V260780, V382109, V137372\n", "role": "assistant" } ]

[ "V748172" ]

[ { "content": "<context>\nassign V906863 = V250836 - 1. assign V121618 = V722192. assign V266541 = V970839. assign V760508 = V427587 + 1. assign V446539 = V655592. assign V412345 = V291578. assign V548340 = V420260. assign V434697 = V197623. assign V144511 = V906462 - 1. assign V604006 = V514563 - 1. assign V247398 = V290356 - 1. assign V705612 = V922440 + 1. assign V967153 = V724818 + 1. assign V648178 = V144511 - 1. assign V870510 = V114227 - 1. assign V265993 = V655592 + 1. assign V412039 = V354012 - 1. assign V977136 = V593636 - 1. assign V825617 = V623379. assign V790838 = V550817 - 1. assign V657674 = V593636 + 1. assign V989986 = V126677 - 1. assign V103658 = V712386 - 1. assign V920853 = V440613 - 1. assign V069959 = V028261. assign V257898 = V375838 - 1. assign V420260 = V419974 - 1. assign V141357 = V095247 - 1. assign V425791 = V409798 + 1. assign V632102 = V197623 + 1. assign V427843 = V425791 + 1. assign V793961 = V261640. assign V837993 = V600190 - 1. assign V260576 = V782307. assign V143347 = V412039. assign V462326 = V329421 - 1. assign V381117 = V719565. assign V266087 = V920853 - 1. assign V145122 = V757393 - 1. assign V023433 = V547746 - 1. assign V667697 = V425381 - 1. assign V388906 = V323427. assign V756488 = V274041 + 1. assign V539729 = V019820 + 1. assign V970839 = V274041 - 1. assign V623379 = V735311 + 1. assign V574745 = V101997 + 1. assign V548933 = V593636 - 1. assign V375838 = V790838. assign V690259 = V587282. assign V261640 = V715001 + 1. assign V536011 = V037362. assign V233302 = V220568 + 1. assign V501096 = V121618 - 1. assign V586602 = V920079 + 1. assign V392553 = 8. assign V801939 = V425381 + 1. assign V402751 = V110576 + 1. assign V906462 = V483100. assign V035424 = V880052. assign V138456 = V192766. assign V374919 = V906462. assign V060109 = V941562. assign V294830 = V042606 - 1. assign V194499 = V782307. assign V172812 = V417508. assign V429350 = V943858 + 1. assign V031988 = V705612 + 1. assign V910299 = V129533. assign V533961 = V375838 - 1. assign V898024 = V144511. assign V880052 = V386737 + 1. assign V261768 = V735563 + 1. assign V315439 = V453265 + 1. assign V514563 = V419082 - 1. assign V799832 = V174671 - 1. assign V748172 = V908665 + 1. assign V359889 = V181105 + 1. assign V426740 = V419082 + 1. assign V323427 = V434697 - 1. assign V962257 = V471859 + 1. assign V002406 = V952121 - 1. assign V251354 = V735985. assign V146422 = V095247. assign V387449 = V604006 - 1. assign V126677 = V593636 - 1. assign V943858 = V790838 + 1. assign V767546 = V192766 - 1. assign V705022 = V604006 - 1. assign V158981 = V374919. assign V925338 = V069959 - 1. assign V404107 = V265351 + 1. assign V268244 = V434697. assign V434099 = V481879. assign V680042 = V973709. assign V191319 = V283175 + 1. assign V764650 = V374919 + 1. assign V788601 = V472985 + 1. assign V459672 = V943858 - 1. assign V176826 = V632102 - 1. assign V114909 = V349870 - 1. assign V560565 = V427843. assign V719565 = V712386 + 1. assign V955516 = V329421 + 1. assign V605796 = V604006 - 1. assign V906751 = V197623 - 1. assign V712386 = V698445. assign V683972 = V831537 + 1. assign V080298 = V126677 - 1. assign V552230 = V266541 - 1. assign V502964 = V246968. assign V888009 = V417531 + 1. assign V326829 = V283175 + 1. assign V119613 = V801939 - 1. assign V851861 = V417531 + 1. assign V210190 = V427843 - 1. assign V569940 = V425791 + 1. assign V193106 = V372669 + 1. assign V437978 = V292179 - 1. assign V878636 = V715001 + 1. assign V349870 = V674544 - 1. assign V399010 = V491018 + 1. assign V667347 = V037362. assign V782307 = V906462 + 1. assign V037408 = V632102 - 1. assign V246968 = V419082 - 1. assign V815929 = V471859 + 1. assign V487717 = V589916 - 1. assign V533758 = V657674 + 1. assign V371960 = V101997. assign V370121 = V735985. assign V251996 = V977620 - 1. assign V922440 = V709707 - 1. assign V369096 = V159376. assign V519139 = V880926 + 1. assign V290356 = V604006 + 1. assign V983615 = V657674 + 1. assign V045434 = V756488 - 1. assign V841160 = V546316. assign V230035 = V119613. assign V250836 = V657674. assign V149081 = V095247 - 1. assign V321897 = V427587 - 1. assign V722231 = V427843 + 1. assign V707747 = V790838 - 1. assign V920079 = V440613 + 1. assign V260988 = V720819 - 1. assign V411458 = V247398 - 1. assign V966151 = V233302 + 1. assign V698445 = V409798. assign V353019 = V547746 + 1. assign V966600 = V427587. assign V316411 = V906751 + 1. assign V655814 = V315348. assign V881308 = V095247. assign V467463 = V420260 - 1. assign V277469 = V200833 + 1. assign V051336 = V837993 - 1. assign V735311 = V386737 + 1. assign V290606 = V790838. assign V715057 = V440462 - 1. assign V614468 = V704339 + 1. assign V733276 = V191319 - 1. assign V246962 = V265993 - 1. assign V542700 = V274041. assign V880926 = V375838 + 1. assign V341971 = V997107 + 1. assign V483100 = V943858. assign V587282 = V722192 + 1. assign V497686 = V265993 + 1. assign V331634 = V019820. assign V058354 = V676477. assign V849508 = V970839. assign V301398 = V427843. assign V417508 = V550817 + 1. assign V715001 = V144511 - 1. assign V737836 = V574745 - 1. assign V220568 = V243194 - 1. assign V766197 = V379001 - 1. assign V222851 = V906462 + 1. assign V996428 = V719565 - 1. assign V984053 = V471859 - 1. assign V330550 = V709707 + 1. assign V832111 = V880052. assign V767764 = V462326 + 1. assign V475176 = V374919 - 1. assign V787320 = V533758. assign V809819 = V399010. assign V292179 = V425791. assign V852749 = V278657 + 1. assign V270183 = V398381 - 1. assign V722192 = V782307 - 1. assign V355641 = V425791. assign V102754 = V593636 + 1. assign V489214 = V198430. assign V274041 = V425791 + 1. assign V564494 = V737836. assign V028261 = V690259. assign V379001 = V307225 - 1. assign V630270 = V019820 + 1. assign V720819 = V546316 + 1. assign V219997 = V095350 + 1. assign V265351 = V471859 + 1. assign V682037 = V042606 + 1. assign V472985 = V198430 + 1. assign V197623 = V419082 - 1. assign V557692 = V321897 - 1. assign V503035 = V425381. assign V481879 = V167190 + 1. assign V057605 = V412039 - 1. assign V192766 = V880052. assign V878753 = V411458 - 1. assign V856372 = V536011. assign V982285 = V955648 + 1. assign V710671 = V247398. assign V143303 = V600190. assign V616550 = V906751. assign V181105 = V290356. assign V995110 = V682037. assign V453265 = V440613. assign V226457 = V419974 - 1. assign V800406 = V849508. assign V110576 = V970839. assign V656481 = V167190 + 1. assign V586511 = V641791 + 1. assign V681638 = V955516 + 1. assign V941562 = V119613. assign V546316 = V409798 - 1. assign V709707 = V425791 + 1. assign V409798 = V790838 + 1. assign V293643 = V247398 - 1. assign V767380 = V600190. assign V674544 = V920853 - 1. assign V957166 = V800406 - 1. assign V239732 = V851861 - 1. assign V410268 = V354012 + 1. assign V278657 = V143347 - 1. assign V547746 = V471859. assign V175885 = V360221 - 1. assign V307225 = V503035 + 1. assign V349079 = V412039. assign V167190 = V906462 + 1. assign V339903 = V226457 + 1. assign V929175 = V502964. assign V427587 = V906462 + 1. assign V315348 = V880052 + 1. assign V027487 = V399010. assign V372184 = V387449. assign V735563 = V191319 - 1. assign V329421 = V483100 - 1. assign V425560 = V370121 - 1. assign V360221 = V462326 - 1. assign V862681 = V676477. assign V291578 = V657674 - 1. assign V416728 = V316411 - 1. assign V200833 = V399010. assign V272409 = V605796 + 1. assign V418076 = V392553 - 1. assign V748807 = V800406 + 1. assign V952121 = V657674. assign V600190 = V159376 + 1. assign V419974 = V399010. assign V079117 = V425791. assign V641791 = V831537. assign V703283 = V440613. assign V440613 = V095247 + 1. assign V225575 = V589916. assign V613580 = V589916. assign V655592 = V222851 - 1. assign V372393 = V735985 + 1. assign V414829 = V372393 - 1. assign V238933 = V174671. assign V955648 = V832111 - 1. assign V386737 = V514563. assign V145819 = V920079. assign V564384 = V019820. assign V856435 = V831537 - 1. assign V425381 = V330550 - 1. assign V713950 = V841160 - 1. assign V440462 = V412039 - 1. assign V748314 = V167190 + 1. assign V104560 = V502964 - 1. assign V757393 = V547746 + 1. assign V593636 = V290356 + 1. assign V491018 = V354012 + 1. assign V173790 = V920853. assign V198430 = V425791 - 1. assign V889301 = V315348 + 1. assign V878390 = V398381 + 1. assign V043988 = V957166. assign V908665 = V574745 + 1. assign V657818 = V490162. assign V042606 = V425560 - 1. assign V780375 = V764650 - 1. assign V789875 = V724818. assign V490162 = V724818 + 1. assign V643165 = V427587. assign V457357 = V354012 + 1. assign V011106 = V962257 + 1. assign V973709 = V265993 + 1. assign V902298 = V198430 - 1. assign V118888 = V331634 - 1. assign V015401 = V977620. assign V035140 = V600190 - 1. assign V826669 = V667347. assign V085807 = V374919. assign V243194 = V583469 - 1. assign V890274 = V967463 - 1. assign V831537 = V604006 + 1. assign V398381 = V514563 - 1. assign V589916 = V247398 - 1. assign V037362 = V370121 - 1. assign V355096 = V533961 - 1. assign V095247 = V419082. assign V712262 = V655592 + 1. assign V740549 = V398381. assign V419082 = V550817 + 1. assign V114227 = V315348. assign V101997 = V392553 + 1. assign V527060 = V713950. assign V080455 = V656481 + 1. assign V459847 = V569940 - 1. assign V372669 = V970839. assign V107314 = V764650. assign V634010 = V616550 - 1. assign V888573 = V655814 + 1. assign V676477 = V472985 - 1. assign V583469 = V705612. assign V129533 = V265993. assign V095350 = V547746. assign V977620 = V119613 + 1. assign V704339 = V705022 - 1. assign V422080 = V278657. assign V019820 = V462326 + 1. assign V283175 = V440613 - 1. assign V174671 = V906462. assign V471859 = V966600. assign V182859 = V600190. assign V778567 = V891976. assign V142196 = V419082 - 1. assign V726547 = V019820. assign V735985 = V514563 - 1. assign V354012 = V427587 - 1. assign V967463 = V462326 - 1. assign V717960 = V194499. assign V997107 = V265993. assign V417531 = V922440. assign V504219 = V574745. assign V724818 = V533758. assign V891976 = V920853. assign V159376 = V290356 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 12.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V906863 = V250836 - 1. assign V121618 = V722192. assign V266541 = V970839. assign V760508 = V427587 + 1. assign V446539 = V655592. assign V412345 = V291578. assign V548340 = V420260. assign V434697 = V197623. assign V144511 = V906462 - 1. assign V604006 = V514563 - 1. assign V247398 = V290356 - 1. assign V705612 = V922440 + 1. assign V967153 = V724818 + 1. assign V648178 = V144511 - 1. assign V870510 = V114227 - 1. assign V265993 = V655592 + 1. assign V412039 = V354012 - 1. assign V977136 = V593636 - 1. assign V825617 = V623379. assign V790838 = V550817 - 1. assign V657674 = V593636 + 1. assign V989986 = V126677 - 1. assign V103658 = V712386 - 1. assign V920853 = V440613 - 1. assign V069959 = V028261. assign V257898 = V375838 - 1. assign V420260 = V419974 - 1. assign V141357 = V095247 - 1. assign V425791 = V409798 + 1. assign V632102 = V197623 + 1. assign V427843 = V425791 + 1. assign V793961 = V261640. assign V837993 = V600190 - 1. assign V260576 = V782307. assign V143347 = V412039. assign V462326 = V329421 - 1. assign V381117 = V719565. assign V266087 = V920853 - 1. assign V145122 = V757393 - 1. assign V023433 = V547746 - 1. assign V667697 = V425381 - 1. assign V388906 = V323427. assign V756488 = V274041 + 1. assign V539729 = V019820 + 1. assign V970839 = V274041 - 1. assign V623379 = V735311 + 1. assign V574745 = V101997 + 1. assign V548933 = V593636 - 1. assign V375838 = V790838. assign V690259 = V587282. assign V261640 = V715001 + 1. assign V536011 = V037362. assign V233302 = V220568 + 1. assign V501096 = V121618 - 1. assign V586602 = V920079 + 1. assign V392553 = 8. assign V801939 = V425381 + 1. assign V402751 = V110576 + 1. assign V906462 = V483100. assign V035424 = V880052. assign V138456 = V192766. assign V374919 = V906462. assign V060109 = V941562. assign V294830 = V042606 - 1. assign V194499 = V782307. assign V172812 = V417508. assign V429350 = V943858 + 1. assign V031988 = V705612 + 1. assign V910299 = V129533. assign V533961 = V375838 - 1. assign V898024 = V144511. assign V880052 = V386737 + 1. assign V261768 = V735563 + 1. assign V315439 = V453265 + 1. assign V514563 = V419082 - 1. assign V799832 = V174671 - 1. assign V748172 = V908665 + 1. assign V359889 = V181105 + 1. assign V426740 = V419082 + 1. assign V323427 = V434697 - 1. assign V962257 = V471859 + 1. assign V002406 = V952121 - 1. assign V251354 = V735985. assign V146422 = V095247. assign V387449 = V604006 - 1. assign V126677 = V593636 - 1. assign V943858 = V790838 + 1. assign V767546 = V192766 - 1. assign V705022 = V604006 - 1. assign V158981 = V374919. assign V925338 = V069959 - 1. assign V404107 = V265351 + 1. assign V268244 = V434697. assign V434099 = V481879. assign V680042 = V973709. assign V191319 = V283175 + 1. assign V764650 = V374919 + 1. assign V788601 = V472985 + 1. assign V459672 = V943858 - 1. assign V176826 = V632102 - 1. assign V114909 = V349870 - 1. assign V560565 = V427843. assign V719565 = V712386 + 1. assign V955516 = V329421 + 1. assign V605796 = V604006 - 1. assign V906751 = V197623 - 1. assign V712386 = V698445. assign V683972 = V831537 + 1. assign V080298 = V126677 - 1. assign V552230 = V266541 - 1. assign V502964 = V246968. assign V888009 = V417531 + 1. assign V326829 = V283175 + 1. assign V119613 = V801939 - 1. assign V851861 = V417531 + 1. assign V210190 = V427843 - 1. assign V569940 = V425791 + 1. assign V193106 = V372669 + 1. assign V437978 = V292179 - 1. assign V878636 = V715001 + 1. assign V349870 = V674544 - 1. assign V399010 = V491018 + 1. assign V667347 = V037362. assign V782307 = V906462 + 1. assign V037408 = V632102 - 1. assign V246968 = V419082 - 1. assign V815929 = V471859 + 1. assign V487717 = V589916 - 1. assign V533758 = V657674 + 1. assign V371960 = V101997. assign V370121 = V735985. assign V251996 = V977620 - 1. assign V922440 = V709707 - 1. assign V369096 = V159376. assign V519139 = V880926 + 1. assign V290356 = V604006 + 1. assign V983615 = V657674 + 1. assign V045434 = V756488 - 1. assign V841160 = V546316. assign V230035 = V119613. assign V250836 = V657674. assign V149081 = V095247 - 1. assign V321897 = V427587 - 1. assign V722231 = V427843 + 1. assign V707747 = V790838 - 1. assign V920079 = V440613 + 1. assign V260988 = V720819 - 1. assign V411458 = V247398 - 1. assign V966151 = V233302 + 1. assign V698445 = V409798. assign V353019 = V547746 + 1. assign V966600 = V427587. assign V316411 = V906751 + 1. assign V655814 = V315348. assign V881308 = V095247. assign V467463 = V420260 - 1. assign V277469 = V200833 + 1. assign V051336 = V837993 - 1. assign V735311 = V386737 + 1. assign V290606 = V790838. assign V715057 = V440462 - 1. assign V614468 = V704339 + 1. assign V733276 = V191319 - 1. assign V246962 = V265993 - 1. assign V542700 = V274041. assign V880926 = V375838 + 1. assign V341971 = V997107 + 1. assign V483100 = V943858. assign V587282 = V722192 + 1. assign V497686 = V265993 + 1. assign V331634 = V019820. assign V058354 = V676477. assign V849508 = V970839. assign V301398 = V427843. assign V417508 = V550817 + 1. assign V715001 = V144511 - 1. assign V737836 = V574745 - 1. assign V220568 = V243194 - 1. assign V766197 = V379001 - 1. assign V222851 = V906462 + 1. assign V996428 = V719565 - 1. assign V984053 = V471859 - 1. assign V330550 = V709707 + 1. assign V832111 = V880052. assign V767764 = V462326 + 1. assign V475176 = V374919 - 1. assign V787320 = V533758. assign V809819 = V399010. assign V292179 = V425791. assign V852749 = V278657 + 1. assign V270183 = V398381 - 1. assign V722192 = V782307 - 1. assign V355641 = V425791. assign V102754 = V593636 + 1. assign V489214 = V198430. assign V274041 = V425791 + 1. assign V564494 = V737836. assign V028261 = V690259. assign V379001 = V307225 - 1. assign V630270 = V019820 + 1. assign V720819 = V546316 + 1. assign V219997 = V095350 + 1. assign V265351 = V471859 + 1. assign V682037 = V042606 + 1. assign V472985 = V198430 + 1. assign V197623 = V419082 - 1. assign V557692 = V321897 - 1. assign V503035 = V425381. assign V481879 = V167190 + 1. assign V057605 = V412039 - 1. assign V192766 = V880052. assign V878753 = V411458 - 1. assign V856372 = V536011. assign V982285 = V955648 + 1. assign V710671 = V247398. assign V143303 = V600190. assign V616550 = V906751. assign V181105 = V290356. assign V995110 = V682037. assign V453265 = V440613. assign V226457 = V419974 - 1. assign V800406 = V849508. assign V110576 = V970839. assign V656481 = V167190 + 1. assign V586511 = V641791 + 1. assign V681638 = V955516 + 1. assign V941562 = V119613. assign V546316 = V409798 - 1. assign V709707 = V425791 + 1. assign V409798 = V790838 + 1. assign V293643 = V247398 - 1. assign V767380 = V600190. assign V674544 = V920853 - 1. assign V957166 = V800406 - 1. assign V239732 = V851861 - 1. assign V410268 = V354012 + 1. assign V278657 = V143347 - 1. assign V547746 = V471859. assign V175885 = V360221 - 1. assign V307225 = V503035 + 1. assign V349079 = V412039. assign V167190 = V906462 + 1. assign V339903 = V226457 + 1. assign V929175 = V502964. assign V427587 = V906462 + 1. assign V315348 = V880052 + 1. assign V027487 = V399010. assign V372184 = V387449. assign V735563 = V191319 - 1. assign V329421 = V483100 - 1. assign V425560 = V370121 - 1. assign V360221 = V462326 - 1. assign V862681 = V676477. assign V291578 = V657674 - 1. assign V416728 = V316411 - 1. assign V200833 = V399010. assign V272409 = V605796 + 1. assign V418076 = V392553 - 1. assign V748807 = V800406 + 1. assign V952121 = V657674. assign V600190 = V159376 + 1. assign V419974 = V399010. assign V079117 = V425791. assign V641791 = V831537. assign V703283 = V440613. assign V440613 = V095247 + 1. assign V225575 = V589916. assign V613580 = V589916. assign V655592 = V222851 - 1. assign V372393 = V735985 + 1. assign V414829 = V372393 - 1. assign V238933 = V174671. assign V955648 = V832111 - 1. assign V386737 = V514563. assign V145819 = V920079. assign V564384 = V019820. assign V856435 = V831537 - 1. assign V425381 = V330550 - 1. assign V713950 = V841160 - 1. assign V440462 = V412039 - 1. assign V748314 = V167190 + 1. assign V104560 = V502964 - 1. assign V757393 = V547746 + 1. assign V593636 = V290356 + 1. assign V491018 = V354012 + 1. assign V173790 = V920853. assign V198430 = V425791 - 1. assign V889301 = V315348 + 1. assign V878390 = V398381 + 1. assign V043988 = V957166. assign V908665 = V574745 + 1. assign V657818 = V490162. assign V042606 = V425560 - 1. assign V780375 = V764650 - 1. assign V789875 = V724818. assign V490162 = V724818 + 1. assign V643165 = V427587. assign V457357 = V354012 + 1. assign V011106 = V962257 + 1. assign V973709 = V265993 + 1. assign V902298 = V198430 - 1. assign V118888 = V331634 - 1. assign V015401 = V977620. assign V035140 = V600190 - 1. assign V826669 = V667347. assign V085807 = V374919. assign V243194 = V583469 - 1. assign V890274 = V967463 - 1. assign V831537 = V604006 + 1. assign V398381 = V514563 - 1. assign V589916 = V247398 - 1. assign V037362 = V370121 - 1. assign V355096 = V533961 - 1. assign V095247 = V419082. assign V712262 = V655592 + 1. assign V740549 = V398381. assign V419082 = V550817 + 1. assign V114227 = V315348. assign V101997 = V392553 + 1. assign V527060 = V713950. assign V080455 = V656481 + 1. assign V459847 = V569940 - 1. assign V372669 = V970839. assign V107314 = V764650. assign V634010 = V616550 - 1. assign V888573 = V655814 + 1. assign V676477 = V472985 - 1. assign V583469 = V705612. assign V129533 = V265993. assign V095350 = V547746. assign V977620 = V119613 + 1. assign V704339 = V705022 - 1. assign V422080 = V278657. assign V019820 = V462326 + 1. assign V283175 = V440613 - 1. assign V174671 = V906462. assign V471859 = V966600. assign V182859 = V600190. assign V778567 = V891976. assign V142196 = V419082 - 1. assign V726547 = V019820. assign V735985 = V514563 - 1. assign V354012 = V427587 - 1. assign V967463 = V462326 - 1. assign V717960 = V194499. assign V997107 = V265993. assign V417531 = V922440. assign V504219 = V574745. assign V724818 = V533758. assign V891976 = V920853. assign V159376 = V290356 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 12.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV392553 = 8;\n\nFrom these direct assignment(s), we have: \nV101997 = V392553 + 1 = 8 + 1 =9;\nV371960 = V101997 = 9;\nNo other varaibles can be derived from V371960;\nV574745 = V101997 + 1 = 9 + 1 =10;\nV504219 = V574745 = 10;\nNo other varaibles can be derived from V504219;\nV908665 = V574745 + 1 = 10 + 1 =11;\nV748172 = V908665 + 1 = 11 + 1 =12;\nNo other varaibles can be derived from V748172;\nNo other varaibles can be derived from V908665;\nV737836 = V574745 - 1 = 10 - 1 =9;\nV564494 = V737836 = 9;\nNo other varaibles can be derived from V564494;\nNo other varaibles can be derived from V737836;\nNo other varaibles can be derived from V574745;\nNo other varaibles can be derived from V101997;\nV418076 = V392553 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V418076;\nNo other varaibles can be derived from V392553;\n\nNow we have done all the calculations. Derived variables are:\nV392553 = 8;\nV101997 = 9;\nV371960 = 9;\nV574745 = 10;\nV504219 = 10;\nV908665 = 11;\nV748172 = 12;\nV737836 = 9;\nV564494 = 9;\nV418076 = 7;\n\nNow we have finished this problem. ANSWER:\nV748172\n", "role": "assistant" } ]

[ "V685240", "V879644", "V902403", "V301447" ]

[ { "content": "<context>\nassign V229937 = V372060 - 1. assign V050836 = V725531 + 1. assign V332428 = V406139 + 1. assign V920163 = V020949 - 1. assign V094341 = V232189. assign V597372 = V899004 - 1. assign V217257 = V639654 + 1. assign V902403 = V191063 - 1. assign V675892 = V494392 + 1. assign V264181 = V104076 + 1. assign V966230 = V447580 - 1. assign V861872 = V802983. assign V852208 = V718361. assign V969955 = V838741. assign V650694 = V707159 - 1. assign V167305 = V501195 + 1. assign V685240 = 8. assign V185609 = V726737 - 1. assign V656034 = V661146 + 1. assign V912522 = V602400. assign V439444 = V476308. assign V324821 = V072230. assign V862287 = V727161. assign V040720 = V985362 + 1. assign V969691 = V985362 - 1. assign V848255 = V602400. assign V084196 = V095820 + 1. assign V706586 = V052197. assign V603129 = V052197. assign V058535 = V810731 - 1. assign V450650 = V036676 + 1. assign V583179 = V685240 - 1. assign V978922 = V604738. assign V583202 = V085239 - 1. assign V474947 = V020581 - 1. assign V756305 = V027028. assign V853681 = V774990 + 1. assign V930729 = V479749 + 1. assign V760898 = V257039 - 1. assign V301447 = V685240. assign V602523 = V570126 + 1. assign V533802 = V879644 - 1. assign V528858 = V066631. assign V296955 = V723890 - 1. assign V355768 = V496591 - 1. assign V511781 = V406139. assign V736735 = V853681 + 1. assign V372060 = V406139 + 1. assign V584273 = V978922 + 1. assign V594809 = V085239. assign V313408 = V913940. assign V066631 = V044803 - 1. assign V725060 = V477045. assign V738329 = V876506. assign V551742 = V899004 - 1. assign V714011 = V372060. assign V599407 = V892219 - 1. assign V163335 = V439758 - 1. assign V996108 = V528035. assign V858669 = V602400 - 1. assign V632721 = V020581. assign V024212 = V232189 - 1. assign V917788 = V474947 + 1. assign V973338 = V221369 + 1. assign V477045 = V078292 - 1. assign V418795 = V296955. assign V398784 = V332428 + 1. assign V289309 = V685240 - 1. assign V632699 = V528035. assign V799547 = V012487 - 1. assign V896644 = V827955 - 1. assign V702004 = V943379 + 1. assign V573292 = V553776 + 1. assign V718361 = V414923. assign V263212 = V666118 - 1. assign V235524 = V072230 + 1. assign V201619 = V920163. assign V290317 = V078292 + 1. assign V528890 = V066631 - 1. assign V671330 = V332428 - 1. assign V073403 = V461994 - 1. assign V627896 = V289309. assign V653868 = V436423. assign V675889 = V414070. assign V745886 = V998204 - 1. assign V817920 = V505643 - 1. assign V876506 = V917788 + 1. assign V214318 = V861872 - 1. assign V569325 = V969691 + 1. assign V297853 = V998204 + 1. assign V023300 = V410502 + 1. assign V307515 = V318604 + 1. assign V725531 = V751998 - 1. assign V787552 = V603129 + 1. assign V992646 = V414923 + 1. assign V318604 = V050287. assign V286483 = V832053 - 1. assign V892219 = V787552. assign V855792 = V810731 + 1. assign V838741 = V727161 + 1. assign V396651 = V250412 - 1. assign V272977 = V434692. assign V617617 = V044803 + 1. assign V363425 = V479749 + 1. assign V104076 = V565969. assign V177559 = V447580 + 1. assign V751977 = V832053 + 1. assign V821847 = V595150 - 1. assign V762145 = V263212 - 1. assign V012487 = V050287. assign V044803 = V020581. assign V250412 = V745886 + 1. assign V447580 = V731785 + 1. assign V972689 = V072230 - 1. assign V027028 = V604738 + 1. assign V230321 = V278670 + 1. assign V180122 = V262553 + 1. assign V111932 = V095820. assign V262553 = V139709 - 1. assign V674616 = V861872 - 1. assign V530184 = V177559 + 1. assign V335899 = V039603 - 1. assign V443482 = V406139. assign V617519 = V855792. assign V774990 = V414923 + 1. assign V870948 = V810731 - 1. assign V435741 = V163335 - 1. assign V107663 = V805922 + 1. assign V139983 = V848255 + 1. assign V569209 = V760898. assign V890388 = V656034 + 1. assign V410485 = V372060. assign V528035 = V774990. assign V460644 = V177559. assign V036676 = V604738 + 1. assign V092681 = V530184 + 1. assign V087483 = V473927 + 1. assign V148530 = V019350. assign V351540 = V787552 + 1. assign V913940 = V745886 + 1. assign V891047 = V787552. assign V181603 = V602523 + 1. assign V731785 = V185328 - 1. assign V095820 = V602400 + 1. assign V436423 = V024212 - 1. assign V748335 = V313408. assign V420177 = V019350. assign V006984 = V913940 + 1. assign V805839 = V799547 - 1. assign V707159 = V853681. assign V970875 = V716035. assign V869982 = V496591. assign V679468 = V036676 - 1. assign V185328 = V727161 + 1. assign V962993 = V727161. assign V553776 = V553244. assign V110058 = V279145. assign V937105 = V177559 + 1. assign V291150 = V762145 + 1. assign V723890 = V469447 - 1. assign V039603 = V477045 - 1. assign V667898 = V653146. assign V473927 = V632721 + 1. assign V547699 = V793875 - 1. assign V094621 = V085239 - 1. assign V985362 = V332428. assign V536863 = V756305 - 1. assign V966861 = V992646. assign V995124 = V501195 - 1. assign V332280 = V838741. assign V591467 = V857539 + 1. assign V226947 = V565969. assign V810731 = V624385 + 1. assign V461994 = V072230 - 1. assign V156559 = V163335 + 1. assign V882101 = V570126. assign V029994 = V332280 + 1. assign V324978 = V628602 + 1. assign V726737 = V799547. assign V353641 = V917788 - 1. assign V832053 = V570126. assign V494392 = V027028 + 1. assign V793875 = V338588 + 1. assign V338588 = V232189 - 1. assign V479749 = V754128 - 1. assign V754128 = V727161 - 1. assign V799602 = V279145 - 1. assign V082927 = V962993 - 1. assign V604738 = V398784 + 1. assign V727161 = V443482. assign V725437 = V097762. assign V943379 = V473927 + 1. assign V595150 = V570126. assign V976650 = V827955. assign V221369 = V671330 - 1. assign V078292 = V052197 - 1. assign V880850 = V996108 + 1. assign V697488 = V084196 - 1. assign V405002 = V028667 - 1. assign V785691 = V553244 + 1. assign V496591 = V688045 + 1. assign V501952 = V827955 - 1. assign V974730 = V565969. assign V496399 = V458010 - 1. assign V019350 = V185328. assign V505643 = V992646 - 1. assign V123482 = V473927 - 1. assign V537536 = V230321 + 1. assign V028667 = V639654. assign V904635 = V902403 - 1. assign V833701 = V738329. assign V624385 = V671330. assign V439758 = V966230 + 1. assign V540122 = V707159 - 1. assign V602400 = V406139 - 1. assign V508442 = V751998 + 1. assign V263822 = V913940 + 1. assign V050287 = V406139. assign V414070 = V232189. assign V481472 = V853681. assign V274655 = V912522. assign V653146 = V966861 - 1. assign V157159 = V469447 - 1. assign V927612 = V844941 + 1. assign V414923 = V443482. assign V439565 = V458010 + 1. assign V097762 = V829106. assign V320236 = V528890. assign V055225 = V418795. assign V570126 = V406139 + 1. assign V191063 = V685240 + 1. assign V094607 = V511781 - 1. assign V410662 = V019350 - 1. assign V436207 = V020581 - 1. assign V628602 = V861872 - 1. assign V285007 = V249413 + 1. assign V232189 = V406139 + 1. assign V601431 = V420177. assign V469447 = V078292. assign V684106 = V226947 + 1. assign V956696 = V601431 - 1. assign V541968 = V023300 - 1. assign V131981 = V481472 + 1. assign V300870 = V858669 - 1. assign V884996 = V706586 - 1. assign V859144 = V443482. assign V660792 = V290317. assign V998204 = V603129. assign V163023 = V020581 + 1. assign V829106 = V716035. assign V566146 = V386904 + 1. assign V234548 = V787552 - 1. assign V008861 = V230321 - 1. assign V844941 = V632721. assign V133553 = V469447. assign V072230 = V019350. assign V570780 = V718361 - 1. assign V638121 = V181247. assign V940749 = V505643 + 1. assign V223986 = V595150 + 1. assign V802983 = V754128 + 1. assign V899004 = V718361 + 1. assign V434692 = V501952. assign V023967 = V602523 - 1. assign V827955 = V372060 + 1. assign V020949 = V443482 - 1. assign V531226 = V805922. assign V009751 = V363425 - 1. assign V448210 = V363425 + 1. assign V565969 = V019350 + 1. assign V395207 = V945982 - 1. assign V602189 = V023300 + 1. assign V854428 = V050287 - 1. assign V857539 = V861872 + 1. assign V345142 = V250412 - 1. assign V020581 = V602523 - 1. assign V181247 = V854428 - 1. assign V055247 = V318604 + 1. assign V369942 = V110058. assign V282434 = V147318 + 1. assign V450175 = V398784. assign V201732 = V870948 - 1. assign V147318 = V476308 + 1. assign V395917 = V028667 + 1. assign V600894 = V998204. assign V586912 = V023967 - 1. assign V119657 = V600894. assign V017237 = V372060 - 1. assign V879644 = V685240. assign V249413 = V632721 - 1. assign V305761 = V405002 + 1. assign V644200 = V372060. assign V279145 = V318604 - 1. assign V386904 = V406139 + 1. assign V410502 = V603129 - 1. assign V416535 = V123482. assign V276163 = V147318. assign V079536 = V725060 - 1. assign V514613 = V351540. assign V058059 = V474947 + 1. assign V085239 = V185328. assign V830078 = V585300 - 1. assign V138222 = V650694 - 1. assign V476308 = V570126 - 1. assign V501195 = V585300. assign V850003 = V995124 + 1. assign V200723 = V332428 + 1. assign V103308 = V496591 + 1. assign V146755 = V966861 - 1. assign V165419 = V876506 - 1. assign V926318 = V632699 - 1. assign V769344 = V297853 - 1. assign V838192 = V232189. assign V468635 = V602400. assign V962689 = V992646. assign V493815 = V599407 - 1. assign V945982 = V912522. assign V716035 = V565969. assign V799998 = V439758. assign V105863 = V496399. assign V661146 = V802983 - 1. assign V688045 = V718361. assign V585300 = V230321 + 1. assign V441276 = V094341 + 1. assign V553244 = V943379. assign V920597 = V307515 - 1. assign V986679 = V085239 - 1. assign V090059 = V084196 + 1. assign V639654 = V050287 - 1. assign V905115 = V448210 + 1. assign V306247 = V774990 - 1. assign V751998 = V624385. assign V436958 = V852208 - 1. assign V720876 = V257039. assign V805922 = V355768 + 1. assign V185234 = V410502 - 1. assign V622449 = V551742 + 1. assign V617260 = V479749. assign V666118 = V058535. assign V090528 = V410662. assign V278670 = V249413 + 1. assign V139709 = V718361 - 1. assign V908384 = V072230 - 1. assign V042404 = V095820. assign V109551 = V094621. assign V257039 = V479749. assign V640513 = V861872 + 1. assign V397429 = V297853 - 1. assign V790202 = V829106 - 1. assign V458010 = V706586. assign V052197 = V443482 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V229937 = V372060 - 1. assign V050836 = V725531 + 1. assign V332428 = V406139 + 1. assign V920163 = V020949 - 1. assign V094341 = V232189. assign V597372 = V899004 - 1. assign V217257 = V639654 + 1. assign V902403 = V191063 - 1. assign V675892 = V494392 + 1. assign V264181 = V104076 + 1. assign V966230 = V447580 - 1. assign V861872 = V802983. assign V852208 = V718361. assign V969955 = V838741. assign V650694 = V707159 - 1. assign V167305 = V501195 + 1. assign V685240 = 8. assign V185609 = V726737 - 1. assign V656034 = V661146 + 1. assign V912522 = V602400. assign V439444 = V476308. assign V324821 = V072230. assign V862287 = V727161. assign V040720 = V985362 + 1. assign V969691 = V985362 - 1. assign V848255 = V602400. assign V084196 = V095820 + 1. assign V706586 = V052197. assign V603129 = V052197. assign V058535 = V810731 - 1. assign V450650 = V036676 + 1. assign V583179 = V685240 - 1. assign V978922 = V604738. assign V583202 = V085239 - 1. assign V474947 = V020581 - 1. assign V756305 = V027028. assign V853681 = V774990 + 1. assign V930729 = V479749 + 1. assign V760898 = V257039 - 1. assign V301447 = V685240. assign V602523 = V570126 + 1. assign V533802 = V879644 - 1. assign V528858 = V066631. assign V296955 = V723890 - 1. assign V355768 = V496591 - 1. assign V511781 = V406139. assign V736735 = V853681 + 1. assign V372060 = V406139 + 1. assign V584273 = V978922 + 1. assign V594809 = V085239. assign V313408 = V913940. assign V066631 = V044803 - 1. assign V725060 = V477045. assign V738329 = V876506. assign V551742 = V899004 - 1. assign V714011 = V372060. assign V599407 = V892219 - 1. assign V163335 = V439758 - 1. assign V996108 = V528035. assign V858669 = V602400 - 1. assign V632721 = V020581. assign V024212 = V232189 - 1. assign V917788 = V474947 + 1. assign V973338 = V221369 + 1. assign V477045 = V078292 - 1. assign V418795 = V296955. assign V398784 = V332428 + 1. assign V289309 = V685240 - 1. assign V632699 = V528035. assign V799547 = V012487 - 1. assign V896644 = V827955 - 1. assign V702004 = V943379 + 1. assign V573292 = V553776 + 1. assign V718361 = V414923. assign V263212 = V666118 - 1. assign V235524 = V072230 + 1. assign V201619 = V920163. assign V290317 = V078292 + 1. assign V528890 = V066631 - 1. assign V671330 = V332428 - 1. assign V073403 = V461994 - 1. assign V627896 = V289309. assign V653868 = V436423. assign V675889 = V414070. assign V745886 = V998204 - 1. assign V817920 = V505643 - 1. assign V876506 = V917788 + 1. assign V214318 = V861872 - 1. assign V569325 = V969691 + 1. assign V297853 = V998204 + 1. assign V023300 = V410502 + 1. assign V307515 = V318604 + 1. assign V725531 = V751998 - 1. assign V787552 = V603129 + 1. assign V992646 = V414923 + 1. assign V318604 = V050287. assign V286483 = V832053 - 1. assign V892219 = V787552. assign V855792 = V810731 + 1. assign V838741 = V727161 + 1. assign V396651 = V250412 - 1. assign V272977 = V434692. assign V617617 = V044803 + 1. assign V363425 = V479749 + 1. assign V104076 = V565969. assign V177559 = V447580 + 1. assign V751977 = V832053 + 1. assign V821847 = V595150 - 1. assign V762145 = V263212 - 1. assign V012487 = V050287. assign V044803 = V020581. assign V250412 = V745886 + 1. assign V447580 = V731785 + 1. assign V972689 = V072230 - 1. assign V027028 = V604738 + 1. assign V230321 = V278670 + 1. assign V180122 = V262553 + 1. assign V111932 = V095820. assign V262553 = V139709 - 1. assign V674616 = V861872 - 1. assign V530184 = V177559 + 1. assign V335899 = V039603 - 1. assign V443482 = V406139. assign V617519 = V855792. assign V774990 = V414923 + 1. assign V870948 = V810731 - 1. assign V435741 = V163335 - 1. assign V107663 = V805922 + 1. assign V139983 = V848255 + 1. assign V569209 = V760898. assign V890388 = V656034 + 1. assign V410485 = V372060. assign V528035 = V774990. assign V460644 = V177559. assign V036676 = V604738 + 1. assign V092681 = V530184 + 1. assign V087483 = V473927 + 1. assign V148530 = V019350. assign V351540 = V787552 + 1. assign V913940 = V745886 + 1. assign V891047 = V787552. assign V181603 = V602523 + 1. assign V731785 = V185328 - 1. assign V095820 = V602400 + 1. assign V436423 = V024212 - 1. assign V748335 = V313408. assign V420177 = V019350. assign V006984 = V913940 + 1. assign V805839 = V799547 - 1. assign V707159 = V853681. assign V970875 = V716035. assign V869982 = V496591. assign V679468 = V036676 - 1. assign V185328 = V727161 + 1. assign V962993 = V727161. assign V553776 = V553244. assign V110058 = V279145. assign V937105 = V177559 + 1. assign V291150 = V762145 + 1. assign V723890 = V469447 - 1. assign V039603 = V477045 - 1. assign V667898 = V653146. assign V473927 = V632721 + 1. assign V547699 = V793875 - 1. assign V094621 = V085239 - 1. assign V985362 = V332428. assign V536863 = V756305 - 1. assign V966861 = V992646. assign V995124 = V501195 - 1. assign V332280 = V838741. assign V591467 = V857539 + 1. assign V226947 = V565969. assign V810731 = V624385 + 1. assign V461994 = V072230 - 1. assign V156559 = V163335 + 1. assign V882101 = V570126. assign V029994 = V332280 + 1. assign V324978 = V628602 + 1. assign V726737 = V799547. assign V353641 = V917788 - 1. assign V832053 = V570126. assign V494392 = V027028 + 1. assign V793875 = V338588 + 1. assign V338588 = V232189 - 1. assign V479749 = V754128 - 1. assign V754128 = V727161 - 1. assign V799602 = V279145 - 1. assign V082927 = V962993 - 1. assign V604738 = V398784 + 1. assign V727161 = V443482. assign V725437 = V097762. assign V943379 = V473927 + 1. assign V595150 = V570126. assign V976650 = V827955. assign V221369 = V671330 - 1. assign V078292 = V052197 - 1. assign V880850 = V996108 + 1. assign V697488 = V084196 - 1. assign V405002 = V028667 - 1. assign V785691 = V553244 + 1. assign V496591 = V688045 + 1. assign V501952 = V827955 - 1. assign V974730 = V565969. assign V496399 = V458010 - 1. assign V019350 = V185328. assign V505643 = V992646 - 1. assign V123482 = V473927 - 1. assign V537536 = V230321 + 1. assign V028667 = V639654. assign V904635 = V902403 - 1. assign V833701 = V738329. assign V624385 = V671330. assign V439758 = V966230 + 1. assign V540122 = V707159 - 1. assign V602400 = V406139 - 1. assign V508442 = V751998 + 1. assign V263822 = V913940 + 1. assign V050287 = V406139. assign V414070 = V232189. assign V481472 = V853681. assign V274655 = V912522. assign V653146 = V966861 - 1. assign V157159 = V469447 - 1. assign V927612 = V844941 + 1. assign V414923 = V443482. assign V439565 = V458010 + 1. assign V097762 = V829106. assign V320236 = V528890. assign V055225 = V418795. assign V570126 = V406139 + 1. assign V191063 = V685240 + 1. assign V094607 = V511781 - 1. assign V410662 = V019350 - 1. assign V436207 = V020581 - 1. assign V628602 = V861872 - 1. assign V285007 = V249413 + 1. assign V232189 = V406139 + 1. assign V601431 = V420177. assign V469447 = V078292. assign V684106 = V226947 + 1. assign V956696 = V601431 - 1. assign V541968 = V023300 - 1. assign V131981 = V481472 + 1. assign V300870 = V858669 - 1. assign V884996 = V706586 - 1. assign V859144 = V443482. assign V660792 = V290317. assign V998204 = V603129. assign V163023 = V020581 + 1. assign V829106 = V716035. assign V566146 = V386904 + 1. assign V234548 = V787552 - 1. assign V008861 = V230321 - 1. assign V844941 = V632721. assign V133553 = V469447. assign V072230 = V019350. assign V570780 = V718361 - 1. assign V638121 = V181247. assign V940749 = V505643 + 1. assign V223986 = V595150 + 1. assign V802983 = V754128 + 1. assign V899004 = V718361 + 1. assign V434692 = V501952. assign V023967 = V602523 - 1. assign V827955 = V372060 + 1. assign V020949 = V443482 - 1. assign V531226 = V805922. assign V009751 = V363425 - 1. assign V448210 = V363425 + 1. assign V565969 = V019350 + 1. assign V395207 = V945982 - 1. assign V602189 = V023300 + 1. assign V854428 = V050287 - 1. assign V857539 = V861872 + 1. assign V345142 = V250412 - 1. assign V020581 = V602523 - 1. assign V181247 = V854428 - 1. assign V055247 = V318604 + 1. assign V369942 = V110058. assign V282434 = V147318 + 1. assign V450175 = V398784. assign V201732 = V870948 - 1. assign V147318 = V476308 + 1. assign V395917 = V028667 + 1. assign V600894 = V998204. assign V586912 = V023967 - 1. assign V119657 = V600894. assign V017237 = V372060 - 1. assign V879644 = V685240. assign V249413 = V632721 - 1. assign V305761 = V405002 + 1. assign V644200 = V372060. assign V279145 = V318604 - 1. assign V386904 = V406139 + 1. assign V410502 = V603129 - 1. assign V416535 = V123482. assign V276163 = V147318. assign V079536 = V725060 - 1. assign V514613 = V351540. assign V058059 = V474947 + 1. assign V085239 = V185328. assign V830078 = V585300 - 1. assign V138222 = V650694 - 1. assign V476308 = V570126 - 1. assign V501195 = V585300. assign V850003 = V995124 + 1. assign V200723 = V332428 + 1. assign V103308 = V496591 + 1. assign V146755 = V966861 - 1. assign V165419 = V876506 - 1. assign V926318 = V632699 - 1. assign V769344 = V297853 - 1. assign V838192 = V232189. assign V468635 = V602400. assign V962689 = V992646. assign V493815 = V599407 - 1. assign V945982 = V912522. assign V716035 = V565969. assign V799998 = V439758. assign V105863 = V496399. assign V661146 = V802983 - 1. assign V688045 = V718361. assign V585300 = V230321 + 1. assign V441276 = V094341 + 1. assign V553244 = V943379. assign V920597 = V307515 - 1. assign V986679 = V085239 - 1. assign V090059 = V084196 + 1. assign V639654 = V050287 - 1. assign V905115 = V448210 + 1. assign V306247 = V774990 - 1. assign V751998 = V624385. assign V436958 = V852208 - 1. assign V720876 = V257039. assign V805922 = V355768 + 1. assign V185234 = V410502 - 1. assign V622449 = V551742 + 1. assign V617260 = V479749. assign V666118 = V058535. assign V090528 = V410662. assign V278670 = V249413 + 1. assign V139709 = V718361 - 1. assign V908384 = V072230 - 1. assign V042404 = V095820. assign V109551 = V094621. assign V257039 = V479749. assign V640513 = V861872 + 1. assign V397429 = V297853 - 1. assign V790202 = V829106 - 1. assign V458010 = V706586. assign V052197 = V443482 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV685240 = 8;\n\nFrom these direct assignment(s), we have: \nV879644 = V685240 = 8;\nV533802 = V879644 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V533802;\nNo other varaibles can be derived from V879644;\nV191063 = V685240 + 1 = 8 + 1 =9;\nV902403 = V191063 - 1 = 9 - 1 =8;\nV904635 = V902403 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V904635;\nNo other varaibles can be derived from V902403;\nNo other varaibles can be derived from V191063;\nV289309 = V685240 - 1 = 8 - 1 =7;\nV627896 = V289309 = 7;\nNo other varaibles can be derived from V627896;\nNo other varaibles can be derived from V289309;\nV301447 = V685240 = 8;\nNo other varaibles can be derived from V301447;\nV583179 = V685240 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V583179;\nNo other varaibles can be derived from V685240;\n\nNow we have done all the calculations. Derived variables are:\nV685240 = 8;\nV879644 = 8;\nV533802 = 7;\nV191063 = 9;\nV902403 = 8;\nV904635 = 7;\nV289309 = 7;\nV627896 = 7;\nV301447 = 8;\nV583179 = 7;\n\nNow we have finished this problem. ANSWER:\nV685240, V879644, V902403, V301447\n", "role": "assistant" } ]

[ "V972810", "V971054", "V286580", "V047646" ]

[ { "content": "<context>\nassign V610741 = V901196 - 1. assign V438562 = V168073. assign V258568 = V053496 + 1. assign V413821 = V396539. assign V974808 = V848444. assign V188866 = V334165 - 1. assign V716247 = V139273. assign V614009 = V971054 - 1. assign V866529 = V477694 + 1. assign V143334 = V897823. assign V487900 = V703398 + 1. assign V460776 = V139273 - 1. assign V143619 = V145817 + 1. assign V306546 = V168073. assign V304104 = V156811. assign V539044 = V659491. assign V334165 = V016618 + 1. assign V581165 = V018290. assign V454030 = V924358 - 1. assign V402728 = V144706 + 1. assign V511387 = V524397. assign V199267 = V018290. assign V384721 = V053496. assign V619997 = V673215. assign V957270 = V741763 + 1. assign V126788 = V592240 + 1. assign V046697 = V170263 + 1. assign V853130 = V847443 + 1. assign V423152 = V917924. assign V338436 = V067326. assign V300510 = V349757. assign V063084 = V246803. assign V901196 = V227854 - 1. assign V359528 = V402899 - 1. assign V584370 = V849877 + 1. assign V899764 = V347998. assign V144706 = V126788 + 1. assign V148794 = V040695 - 1. assign V780012 = V596396 + 1. assign V817159 = V144816. assign V800711 = V053496 + 1. assign V938695 = V128570. assign V195694 = V742629. assign V350664 = V601533. assign V343848 = V460776. assign V154385 = V189168. assign V906055 = V115060 - 1. assign V252298 = V196765 - 1. assign V276126 = V951071 + 1. assign V069201 = V848444. assign V207047 = V620357 - 1. assign V196765 = V657118 - 1. assign V564514 = V413821 - 1. assign V788301 = V472215. assign V305203 = V413821 + 1. assign V742629 = V270965 - 1. assign V147695 = V263871 - 1. assign V874548 = V128570. assign V380889 = V817700. assign V402899 = V521049 + 1. assign V573881 = V720449. assign V961113 = V081717 - 1. assign V349757 = V459604. assign V183482 = V671337 - 1. assign V480169 = V477694 + 1. assign V728622 = V335561 - 1. assign V509960 = V258568 + 1. assign V350209 = V469132. assign V325976 = V728622. assign V150558 = V538283. assign V911826 = V416952 + 1. assign V213663 = V584370. assign V275898 = V847357 + 1. assign V661857 = V702372 + 1. assign V263871 = V242484. assign V251198 = V817836. assign V232618 = V384233 + 1. assign V196280 = V591293 - 1. assign V396539 = V728856 + 1. assign V817836 = V384233 - 1. assign V576849 = V260608 + 1. assign V215187 = V757073 + 1. assign V469132 = V242484. assign V189774 = V148794 - 1. assign V971561 = V987436 - 1. assign V459604 = V018290 + 1. assign V695440 = V683486 - 1. assign V338383 = V806950. assign V025590 = V156811. assign V902260 = V069201. assign V246803 = V925016. assign V630973 = V423152. assign V372125 = V768314 - 1. assign V673215 = V018290 + 1. assign V139273 = V018290. assign V961146 = V189168 - 1. assign V848444 = V683486. assign V528562 = V849877. assign V869411 = V406875 + 1. assign V314616 = V289403 + 1. assign V193545 = V757073. assign V918511 = V413374. assign V475313 = V063084 - 1. assign V925016 = V993402 - 1. assign V597722 = V396701. assign V378349 = V987436. assign V049140 = V167535. assign V107002 = V348294. assign V929278 = V808474. assign V314060 = V025590. assign V849877 = V703398. assign V713809 = V115060 - 1. assign V196901 = V775886 + 1. assign V314796 = V581165 - 1. assign V075085 = V775886 - 1. assign V880416 = V139273 - 1. assign V709433 = V808474 - 1. assign V919297 = V861000 + 1. assign V462015 = V070005. assign V756509 = V338383 + 1. assign V728290 = V460776 - 1. assign V222682 = V508905. assign V075725 = V242484 + 1. assign V683486 = V075725. assign V889350 = V619997. assign V591293 = V713809. assign V270965 = V018290. assign V588834 = V376160 + 1. assign V715647 = V727120. assign V573338 = V695440 - 1. assign V571536 = V067326. assign V651988 = V189168 - 1. assign V047646 = V971054. assign V786789 = V702372 + 1. assign V235453 = V880416. assign V628450 = V168073 + 1. assign V352283 = V254903. assign V807889 = V661857 + 1. assign V160323 = V987436 - 1. assign V226344 = V700346. assign V402323 = V538283 + 1. assign V703003 = V713809 + 1. assign V714823 = V932869 - 1. assign V376160 = V806950 - 1. assign V172102 = V469132 + 1. assign V189168 = V327530 + 1. assign V723513 = V127220 + 1. assign V656242 = V215187 - 1. assign V854797 = V538283 + 1. assign V847823 = V847443 - 1. assign V011841 = V854797 - 1. assign V462543 = V018290 + 1. assign V596396 = V700346 + 1. assign V863255 = V027632 - 1. assign V861000 = V727120 + 1. assign V794541 = V110314. assign V216859 = V971561 + 1. assign V602002 = V416952. assign V947705 = V385453 + 1. assign V384233 = V546832 + 1. assign V478636 = V402323 + 1. assign V200264 = V459604 - 1. assign V583874 = V011841 + 1. assign V434140 = V270965. assign V521938 = V897823. assign V377087 = V016618 + 1. assign V671755 = V524397. assign V551139 = V384721 + 1. assign V347998 = V972810 - 1. assign V601533 = V961113. assign V988480 = V416952. assign V977207 = V756509 - 1. assign V145817 = V018290 - 1. assign V425947 = V436048 + 1. assign V728856 = V242484 - 1. assign V808474 = V053496 + 1. assign V821947 = V591293. assign V243574 = V254903. assign V731648 = V416952. assign V472215 = V270965 + 1. assign V951071 = V683486. assign V861322 = V385453 + 1. assign V320854 = V359247 - 1. assign V703398 = V384721 - 1. assign V654967 = V053496 - 1. assign V227854 = V847823 - 1. assign V671337 = V189168. assign V486241 = V487717. assign V396584 = V768068. assign V436048 = V258568. assign V254903 = V581165 + 1. assign V450718 = V470408 - 1. assign V521049 = V334165 + 1. assign V381998 = V703398 + 1. assign V628398 = V384233. assign V741763 = V396539 - 1. assign V070005 = V018290. assign V971054 = V899764 + 1. assign V237936 = V276126. assign V371042 = V874548 - 1. assign V847443 = V396539. assign V144816 = V338436 + 1. assign V179040 = V075085 - 1. assign V156524 = V327530 + 1. assign V657118 = V053496 + 1. assign V930250 = V196765. assign V550269 = V899764 - 1. assign V999608 = V127220. assign V168073 = V053496 - 1. assign V339778 = V817700 + 1. assign V569709 = V715647 - 1. assign V932869 = V144706. assign V306021 = V581165. assign V495394 = V139273. assign V128570 = V477694 - 1. assign V040695 = V301143 + 1. assign V611354 = V338436. assign V794020 = V413821 - 1. assign V931356 = V974808 - 1. assign V783365 = V200264 - 1. assign V508905 = V715647 - 1. assign V625069 = V348173. assign V698219 = V800711. assign V359247 = V709433 + 1. assign V331539 = V470408 - 1. assign V847357 = V126788 + 1. assign V987436 = V806950 - 1. assign V768068 = V406875 - 1. assign V640081 = V406875. assign V524397 = V919297 - 1. assign V043686 = V861322 + 1. assign V440590 = V297455 - 1. assign V975121 = V438562. assign V679474 = V040695 - 1. assign V289403 = V260608. assign V416952 = V438562. assign V385453 = V581165 - 1. assign V258705 = V580947. assign V729342 = V622894. assign V966971 = V775886 - 1. assign V242484 = V592240 + 1. assign V348173 = V848444 + 1. assign V348294 = V786789. assign V687533 = V971054 + 1. assign V717084 = V638036 + 1. assign V110314 = V661857 + 1. assign V538283 = V327530 - 1. assign V798482 = V817700 - 1. assign V817846 = V081717 - 1. assign V798112 = V974808 - 1. assign V578976 = V626742 + 1. assign V806950 = V673215. assign V846783 = V957270 - 1. assign V115060 = V987436 - 1. assign V891034 = V359528 + 1. assign V455212 = V384721 + 1. assign V804354 = V240401 - 1. assign V638036 = V487717 + 1. assign V081717 = V260608. assign V897823 = V987436. assign V110211 = V703398 + 1. assign V444516 = V695440 - 1. assign V403721 = V232618 - 1. assign V702372 = V270965 - 1. assign V951870 = V127220 + 1. assign V803139 = V640081 - 1. assign V477694 = V756509 - 1. assign V924358 = V455212 + 1. assign V696649 = V082080 + 1. assign V473520 = V444141 + 1. assign V626742 = V384721 + 1. assign V775886 = V011841. assign V580947 = V798482 - 1. assign V027632 = V596396. assign V205890 = V852847 + 1. assign V170263 = V480169 - 1. assign V595693 = V335561 - 1. assign V167535 = V170263. assign V851216 = V069201 + 1. assign V757073 = V067326 + 1. assign V727120 = V619997 - 1. assign V659491 = V396539 + 1. assign V546832 = V462543 - 1. assign V977781 = V728290. assign V260608 = V877811. assign V877280 = V406875 - 1. assign V991488 = V196765. assign V891328 = V798482 + 1. assign V537411 = V338383 - 1. assign V032817 = V862137 + 1. assign V115879 = V213773. assign V083075 = V768068 - 1. assign V004130 = V196901. assign V993402 = V728856 - 1. assign V487717 = V919297. assign V599771 = V974808. assign V745841 = V306021 - 1. assign V877811 = V242484 - 1. assign V768314 = V413374. assign V016618 = V338436 - 1. assign V320368 = V848444. assign V723945 = V459604. assign V212313 = V144706 - 1. assign V648847 = V700346 - 1. assign V160747 = V756509. assign V471841 = V993402 + 1. assign V836119 = V053496 - 1. assign V899154 = V487900 + 1. assign V213773 = V189168 - 1. assign V498772 = V115060 + 1. assign V413374 = V438562. assign V382258 = V396539 - 1. assign V620357 = V406875 - 1. assign V817700 = V768068 + 1. assign V335561 = V075725 + 1. assign V265512 = V654967 - 1. assign V297455 = V620357. assign V133478 = V115879. assign V444141 = V807889 - 1. assign V312098 = V991488. assign V866409 = V016618. assign V286580 = V347998 + 1. assign V814712 = V047646 + 1. assign V240401 = V289403 + 1. assign V516263 = V348294 + 1. assign V156811 = V327530. assign V700346 = V673215. assign V301143 = V396539 + 1. assign V067326 = V988480 + 1. assign V406875 = V700346 + 1. assign V730202 = V300510. assign V053496 = V018290 - 1. assign V473713 = V803139 - 1. assign V605359 = V027632 - 1. assign V470408 = V757073 - 1. assign V862137 = V648847. assign V622894 = V462015 + 1. assign V032266 = V150558 - 1. assign V917924 = V919297 + 1. assign V082080 = V018290 + 1. assign V720449 = V584370 - 1. assign V592240 = V258568 + 1. assign V327530 = V139273 - 1. assign V588470 = V938695. assign V331678 = V605359 - 1. assign V972810 = 10. assign V565321 = V798482. assign V396701 = V144706 - 1. assign V852847 = V854797. assign V127220 = V338436. assign V815536 = V847357 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V610741 = V901196 - 1. assign V438562 = V168073. assign V258568 = V053496 + 1. assign V413821 = V396539. assign V974808 = V848444. assign V188866 = V334165 - 1. assign V716247 = V139273. assign V614009 = V971054 - 1. assign V866529 = V477694 + 1. assign V143334 = V897823. assign V487900 = V703398 + 1. assign V460776 = V139273 - 1. assign V143619 = V145817 + 1. assign V306546 = V168073. assign V304104 = V156811. assign V539044 = V659491. assign V334165 = V016618 + 1. assign V581165 = V018290. assign V454030 = V924358 - 1. assign V402728 = V144706 + 1. assign V511387 = V524397. assign V199267 = V018290. assign V384721 = V053496. assign V619997 = V673215. assign V957270 = V741763 + 1. assign V126788 = V592240 + 1. assign V046697 = V170263 + 1. assign V853130 = V847443 + 1. assign V423152 = V917924. assign V338436 = V067326. assign V300510 = V349757. assign V063084 = V246803. assign V901196 = V227854 - 1. assign V359528 = V402899 - 1. assign V584370 = V849877 + 1. assign V899764 = V347998. assign V144706 = V126788 + 1. assign V148794 = V040695 - 1. assign V780012 = V596396 + 1. assign V817159 = V144816. assign V800711 = V053496 + 1. assign V938695 = V128570. assign V195694 = V742629. assign V350664 = V601533. assign V343848 = V460776. assign V154385 = V189168. assign V906055 = V115060 - 1. assign V252298 = V196765 - 1. assign V276126 = V951071 + 1. assign V069201 = V848444. assign V207047 = V620357 - 1. assign V196765 = V657118 - 1. assign V564514 = V413821 - 1. assign V788301 = V472215. assign V305203 = V413821 + 1. assign V742629 = V270965 - 1. assign V147695 = V263871 - 1. assign V874548 = V128570. assign V380889 = V817700. assign V402899 = V521049 + 1. assign V573881 = V720449. assign V961113 = V081717 - 1. assign V349757 = V459604. assign V183482 = V671337 - 1. assign V480169 = V477694 + 1. assign V728622 = V335561 - 1. assign V509960 = V258568 + 1. assign V350209 = V469132. assign V325976 = V728622. assign V150558 = V538283. assign V911826 = V416952 + 1. assign V213663 = V584370. assign V275898 = V847357 + 1. assign V661857 = V702372 + 1. assign V263871 = V242484. assign V251198 = V817836. assign V232618 = V384233 + 1. assign V196280 = V591293 - 1. assign V396539 = V728856 + 1. assign V817836 = V384233 - 1. assign V576849 = V260608 + 1. assign V215187 = V757073 + 1. assign V469132 = V242484. assign V189774 = V148794 - 1. assign V971561 = V987436 - 1. assign V459604 = V018290 + 1. assign V695440 = V683486 - 1. assign V338383 = V806950. assign V025590 = V156811. assign V902260 = V069201. assign V246803 = V925016. assign V630973 = V423152. assign V372125 = V768314 - 1. assign V673215 = V018290 + 1. assign V139273 = V018290. assign V961146 = V189168 - 1. assign V848444 = V683486. assign V528562 = V849877. assign V869411 = V406875 + 1. assign V314616 = V289403 + 1. assign V193545 = V757073. assign V918511 = V413374. assign V475313 = V063084 - 1. assign V925016 = V993402 - 1. assign V597722 = V396701. assign V378349 = V987436. assign V049140 = V167535. assign V107002 = V348294. assign V929278 = V808474. assign V314060 = V025590. assign V849877 = V703398. assign V713809 = V115060 - 1. assign V196901 = V775886 + 1. assign V314796 = V581165 - 1. assign V075085 = V775886 - 1. assign V880416 = V139273 - 1. assign V709433 = V808474 - 1. assign V919297 = V861000 + 1. assign V462015 = V070005. assign V756509 = V338383 + 1. assign V728290 = V460776 - 1. assign V222682 = V508905. assign V075725 = V242484 + 1. assign V683486 = V075725. assign V889350 = V619997. assign V591293 = V713809. assign V270965 = V018290. assign V588834 = V376160 + 1. assign V715647 = V727120. assign V573338 = V695440 - 1. assign V571536 = V067326. assign V651988 = V189168 - 1. assign V047646 = V971054. assign V786789 = V702372 + 1. assign V235453 = V880416. assign V628450 = V168073 + 1. assign V352283 = V254903. assign V807889 = V661857 + 1. assign V160323 = V987436 - 1. assign V226344 = V700346. assign V402323 = V538283 + 1. assign V703003 = V713809 + 1. assign V714823 = V932869 - 1. assign V376160 = V806950 - 1. assign V172102 = V469132 + 1. assign V189168 = V327530 + 1. assign V723513 = V127220 + 1. assign V656242 = V215187 - 1. assign V854797 = V538283 + 1. assign V847823 = V847443 - 1. assign V011841 = V854797 - 1. assign V462543 = V018290 + 1. assign V596396 = V700346 + 1. assign V863255 = V027632 - 1. assign V861000 = V727120 + 1. assign V794541 = V110314. assign V216859 = V971561 + 1. assign V602002 = V416952. assign V947705 = V385453 + 1. assign V384233 = V546832 + 1. assign V478636 = V402323 + 1. assign V200264 = V459604 - 1. assign V583874 = V011841 + 1. assign V434140 = V270965. assign V521938 = V897823. assign V377087 = V016618 + 1. assign V671755 = V524397. assign V551139 = V384721 + 1. assign V347998 = V972810 - 1. assign V601533 = V961113. assign V988480 = V416952. assign V977207 = V756509 - 1. assign V145817 = V018290 - 1. assign V425947 = V436048 + 1. assign V728856 = V242484 - 1. assign V808474 = V053496 + 1. assign V821947 = V591293. assign V243574 = V254903. assign V731648 = V416952. assign V472215 = V270965 + 1. assign V951071 = V683486. assign V861322 = V385453 + 1. assign V320854 = V359247 - 1. assign V703398 = V384721 - 1. assign V654967 = V053496 - 1. assign V227854 = V847823 - 1. assign V671337 = V189168. assign V486241 = V487717. assign V396584 = V768068. assign V436048 = V258568. assign V254903 = V581165 + 1. assign V450718 = V470408 - 1. assign V521049 = V334165 + 1. assign V381998 = V703398 + 1. assign V628398 = V384233. assign V741763 = V396539 - 1. assign V070005 = V018290. assign V971054 = V899764 + 1. assign V237936 = V276126. assign V371042 = V874548 - 1. assign V847443 = V396539. assign V144816 = V338436 + 1. assign V179040 = V075085 - 1. assign V156524 = V327530 + 1. assign V657118 = V053496 + 1. assign V930250 = V196765. assign V550269 = V899764 - 1. assign V999608 = V127220. assign V168073 = V053496 - 1. assign V339778 = V817700 + 1. assign V569709 = V715647 - 1. assign V932869 = V144706. assign V306021 = V581165. assign V495394 = V139273. assign V128570 = V477694 - 1. assign V040695 = V301143 + 1. assign V611354 = V338436. assign V794020 = V413821 - 1. assign V931356 = V974808 - 1. assign V783365 = V200264 - 1. assign V508905 = V715647 - 1. assign V625069 = V348173. assign V698219 = V800711. assign V359247 = V709433 + 1. assign V331539 = V470408 - 1. assign V847357 = V126788 + 1. assign V987436 = V806950 - 1. assign V768068 = V406875 - 1. assign V640081 = V406875. assign V524397 = V919297 - 1. assign V043686 = V861322 + 1. assign V440590 = V297455 - 1. assign V975121 = V438562. assign V679474 = V040695 - 1. assign V289403 = V260608. assign V416952 = V438562. assign V385453 = V581165 - 1. assign V258705 = V580947. assign V729342 = V622894. assign V966971 = V775886 - 1. assign V242484 = V592240 + 1. assign V348173 = V848444 + 1. assign V348294 = V786789. assign V687533 = V971054 + 1. assign V717084 = V638036 + 1. assign V110314 = V661857 + 1. assign V538283 = V327530 - 1. assign V798482 = V817700 - 1. assign V817846 = V081717 - 1. assign V798112 = V974808 - 1. assign V578976 = V626742 + 1. assign V806950 = V673215. assign V846783 = V957270 - 1. assign V115060 = V987436 - 1. assign V891034 = V359528 + 1. assign V455212 = V384721 + 1. assign V804354 = V240401 - 1. assign V638036 = V487717 + 1. assign V081717 = V260608. assign V897823 = V987436. assign V110211 = V703398 + 1. assign V444516 = V695440 - 1. assign V403721 = V232618 - 1. assign V702372 = V270965 - 1. assign V951870 = V127220 + 1. assign V803139 = V640081 - 1. assign V477694 = V756509 - 1. assign V924358 = V455212 + 1. assign V696649 = V082080 + 1. assign V473520 = V444141 + 1. assign V626742 = V384721 + 1. assign V775886 = V011841. assign V580947 = V798482 - 1. assign V027632 = V596396. assign V205890 = V852847 + 1. assign V170263 = V480169 - 1. assign V595693 = V335561 - 1. assign V167535 = V170263. assign V851216 = V069201 + 1. assign V757073 = V067326 + 1. assign V727120 = V619997 - 1. assign V659491 = V396539 + 1. assign V546832 = V462543 - 1. assign V977781 = V728290. assign V260608 = V877811. assign V877280 = V406875 - 1. assign V991488 = V196765. assign V891328 = V798482 + 1. assign V537411 = V338383 - 1. assign V032817 = V862137 + 1. assign V115879 = V213773. assign V083075 = V768068 - 1. assign V004130 = V196901. assign V993402 = V728856 - 1. assign V487717 = V919297. assign V599771 = V974808. assign V745841 = V306021 - 1. assign V877811 = V242484 - 1. assign V768314 = V413374. assign V016618 = V338436 - 1. assign V320368 = V848444. assign V723945 = V459604. assign V212313 = V144706 - 1. assign V648847 = V700346 - 1. assign V160747 = V756509. assign V471841 = V993402 + 1. assign V836119 = V053496 - 1. assign V899154 = V487900 + 1. assign V213773 = V189168 - 1. assign V498772 = V115060 + 1. assign V413374 = V438562. assign V382258 = V396539 - 1. assign V620357 = V406875 - 1. assign V817700 = V768068 + 1. assign V335561 = V075725 + 1. assign V265512 = V654967 - 1. assign V297455 = V620357. assign V133478 = V115879. assign V444141 = V807889 - 1. assign V312098 = V991488. assign V866409 = V016618. assign V286580 = V347998 + 1. assign V814712 = V047646 + 1. assign V240401 = V289403 + 1. assign V516263 = V348294 + 1. assign V156811 = V327530. assign V700346 = V673215. assign V301143 = V396539 + 1. assign V067326 = V988480 + 1. assign V406875 = V700346 + 1. assign V730202 = V300510. assign V053496 = V018290 - 1. assign V473713 = V803139 - 1. assign V605359 = V027632 - 1. assign V470408 = V757073 - 1. assign V862137 = V648847. assign V622894 = V462015 + 1. assign V032266 = V150558 - 1. assign V917924 = V919297 + 1. assign V082080 = V018290 + 1. assign V720449 = V584370 - 1. assign V592240 = V258568 + 1. assign V327530 = V139273 - 1. assign V588470 = V938695. assign V331678 = V605359 - 1. assign V972810 = 10. assign V565321 = V798482. assign V396701 = V144706 - 1. assign V852847 = V854797. assign V127220 = V338436. assign V815536 = V847357 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV972810 = 10;\n\nFrom these direct assignment(s), we have: \nV347998 = V972810 - 1 = 10 - 1 =9;\nV286580 = V347998 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V286580;\nV899764 = V347998 = 9;\nV550269 = V899764 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V550269;\nV971054 = V899764 + 1 = 9 + 1 =10;\nV687533 = V971054 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V687533;\nV047646 = V971054 = 10;\nV814712 = V047646 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V814712;\nNo other varaibles can be derived from V047646;\nV614009 = V971054 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V614009;\nNo other varaibles can be derived from V971054;\nNo other varaibles can be derived from V899764;\nNo other varaibles can be derived from V347998;\nNo other varaibles can be derived from V972810;\n\nNow we have done all the calculations. Derived variables are:\nV972810 = 10;\nV347998 = 9;\nV286580 = 10;\nV899764 = 9;\nV550269 = 8;\nV971054 = 10;\nV687533 = 11;\nV047646 = 10;\nV814712 = 11;\nV614009 = 9;\n\nNow we have finished this problem. ANSWER:\nV972810, V286580, V971054, V047646\n", "role": "assistant" } ]

[ "V449708", "V455632", "V661382", "V978129" ]

[ { "content": "<context>\nassign V833104 = V220233 + 1. assign V903091 = V207826. assign V985524 = V554825. assign V795538 = V645776 - 1. assign V114675 = V237785 - 1. assign V471289 = V006150 - 1. assign V336514 = V724476 + 1. assign V663308 = V749508 + 1. assign V494545 = V729563 - 1. assign V707691 = V311816 - 1. assign V714423 = V688086. assign V791563 = V797113. assign V242111 = V953328 - 1. assign V320008 = V637446. assign V781338 = V378325 - 1. assign V845646 = V610040 + 1. assign V860116 = V697935 + 1. assign V696478 = V474840 - 1. assign V290004 = V876153. assign V237785 = V786245. assign V961823 = V742859 - 1. assign V272043 = V258578. assign V782975 = V220233 + 1. assign V497710 = V272043. assign V700395 = 7. assign V300296 = V235381 - 1. assign V466154 = V723599 - 1. assign V420677 = V981176. assign V385082 = V120206 + 1. assign V032568 = V718475. assign V695904 = V475342. assign V120206 = V497710. assign V866629 = V663308 - 1. assign V501773 = V615831. assign V740540 = V163348 + 1. assign V669121 = V303405 - 1. assign V551492 = V086488 + 1. assign V480743 = V157448 - 1. assign V449382 = V466102. assign V566645 = V790034. assign V511400 = V272043 + 1. assign V574530 = V766867 + 1. assign V794804 = V120206 - 1. assign V341427 = V459243 - 1. assign V869075 = V262269. assign V086488 = V238104 + 1. assign V246510 = V998233 - 1. assign V810155 = V729563 + 1. assign V517643 = V780200 - 1. assign V615831 = V696478 - 1. assign V352531 = V186653 + 1. assign V059239 = V697935 - 1. assign V878313 = V915119 + 1. assign V907866 = V884231 - 1. assign V739217 = V220233 + 1. assign V269796 = V449708 + 1. assign V332343 = V238104 + 1. assign V346813 = V639948 + 1. assign V915119 = V559793 - 1. assign V171574 = V320008 - 1. assign V554825 = V897093 + 1. assign V076397 = V378325. assign V288874 = V145500 - 1. assign V742859 = V615831 + 1. assign V639948 = V174140. assign V173390 = V384847 + 1. assign V390464 = V450151 - 1. assign V210209 = V599408. assign V168762 = V300296 - 1. assign V352009 = V606834. assign V455632 = V449708. assign V509049 = V501773 - 1. assign V258578 = V474840 + 1. assign V993174 = V288874 + 1. assign V263117 = V483299 - 1. assign V267446 = V616987 + 1. assign V391117 = V072920 + 1. assign V672494 = V294166 - 1. assign V303405 = V599408 - 1. assign V701450 = V336514 + 1. assign V497918 = V876153 - 1. assign V392636 = V123479 - 1. assign V242436 = V400673 + 1. assign V186653 = V220233. assign V587700 = V545547 - 1. assign V660723 = V006150. assign V184002 = V174140. assign V285274 = V352531 + 1. assign V329826 = V452725 + 1. assign V068241 = V610040 + 1. assign V215014 = V474840 + 1. assign V975342 = V599408 - 1. assign V852750 = V766867 - 1. assign V832954 = V186743 + 1. assign V058824 = V902222 + 1. assign V260670 = V308028. assign V585336 = V094154 + 1. assign V650793 = V797113 - 1. assign V584192 = V367030 + 1. assign V729563 = V384847 + 1. assign V299867 = V147476. assign V994839 = V601554 + 1. assign V207751 = V303405. assign V179035 = V781338 + 1. assign V033100 = V346813. assign V471163 = V450151 + 1. assign V088396 = V981344 + 1. assign V963335 = V697935. assign V601554 = V418080 - 1. assign V122042 = V669121 - 1. assign V648277 = V710856. assign V058592 = V766063 - 1. assign V755991 = V833104 + 1. assign V599408 = V427653 + 1. assign V302531 = V378325 - 1. assign V639382 = V701450 - 1. assign V056267 = V308028 - 1. assign V067931 = V059239. assign V010325 = V981344 + 1. assign V981176 = V290004. assign V381126 = V033100 + 1. assign V186743 = V517643. assign V174140 = V697935 - 1. assign V479971 = V524078 + 1. assign V909266 = V336514. assign V801724 = V833104. assign V619101 = V876153 - 1. assign V876153 = V352531 - 1. assign V972847 = V524078 - 1. assign V206174 = V145500. assign V475065 = V267446 - 1. assign V726395 = V650793 + 1. assign V235381 = V139030 - 1. assign V519601 = V793975 - 1. assign V765709 = V483299. assign V637446 = V781338. assign V327611 = V793975 - 1. assign V897093 = V392636. assign V697367 = V677232 + 1. assign V949703 = V288874 - 1. assign V262888 = V205907 - 1. assign V678536 = V184002 + 1. assign V294166 = V163348 + 1. assign V606834 = V669121 + 1. assign V122626 = V524078. assign V710856 = V285274. assign V457353 = V290004 + 1. assign V749508 = V501773 + 1. assign V403830 = V855527 + 1. assign V656686 = V466154 - 1. assign V329254 = V927026 + 1. assign V963972 = V643092 + 1. assign V544943 = V862413 - 1. assign V677232 = V010325. assign V953328 = V697935. assign V459243 = V246510. assign V894604 = V179035 + 1. assign V284228 = V518600 - 1. assign V056098 = V103467 + 1. assign V759131 = V718475. assign V685432 = V797113 + 1. assign V499268 = V869075 + 1. assign V238104 = V797113 + 1. assign V235637 = V145500 - 1. assign V951413 = V610040. assign V529176 = V782096 - 1. assign V796863 = V884231. assign V693989 = V688086. assign V103467 = V963972 - 1. assign V204624 = V963972 + 1. assign V262269 = V497710 - 1. assign V384847 = V083052 - 1. assign V504107 = V723599 + 1. assign V091177 = V907866 + 1. assign V740298 = V895146 - 1. assign V098985 = V951413. assign V500623 = V856323. assign V724476 = V094154 - 1. assign V133858 = V068241 + 1. assign V782096 = V207826 - 1. assign V627731 = V688086. assign V508848 = V511400 + 1. assign V476515 = V650793 - 1. assign V312355 = V060200 + 1. assign V378325 = V852750 + 1. assign V083052 = V981344 + 1. assign V195384 = V637446 - 1. assign V330847 = V184002 + 1. assign V414416 = V781338. assign V646502 = V449708 + 1. assign V451155 = V930102 + 1. assign V766063 = V693989 - 1. assign V160880 = V791563 + 1. assign V205907 = V006150 + 1. assign V616987 = V086488 - 1. assign V450151 = V336514 - 1. assign V234715 = V068241 - 1. assign V004367 = V207826. assign V688086 = V696478 + 1. assign V723599 = V474840 + 1. assign V955592 = V059239 - 1. assign V645776 = V511400 + 1. assign V372525 = V961823. assign V450337 = V645776 - 1. assign V526796 = V474840 - 1. assign V454752 = V476515. assign V902222 = V756916 + 1. assign V766867 = V094154 - 1. assign V163348 = V797113 + 1. assign V741065 = V696478 + 1. assign V978129 = V449708. assign V364823 = V402938 - 1. assign V157288 = V308028 + 1. assign V816320 = V639948. assign V752100 = V500623. assign V211143 = V452725. assign V542829 = V797113 + 1. assign V884231 = V585336 - 1. assign V328034 = V979027. assign V578732 = V639382 + 1. assign V211134 = V139030 - 1. assign V756916 = V587700 - 1. assign V407095 = V934502 - 1. assign V965236 = V067931. assign V697935 = V474840 - 1. assign V220233 = V697935 - 1. assign V402938 = V743669 + 1. assign V027242 = V346813 + 1. assign V145500 = V998233 - 1. assign V079455 = V799993 - 1. assign V796398 = V386203 + 1. assign V862413 = V269796 + 1. assign V320499 = V519601 - 1. assign V013365 = V688086 + 1. assign V839683 = V886201. assign V797113 = V696478 + 1. assign V594884 = V780200 - 1. assign V512758 = V696478 + 1. assign V966577 = V168762 - 1. assign V466102 = V782096 - 1. assign V060200 = V710856 + 1. assign V934502 = V517643 + 1. assign V626227 = V742859 - 1. assign V418080 = V336514 - 1. assign V698956 = V311816. assign V779925 = V450151. assign V147476 = V806301. assign V856323 = V718475 + 1. assign V318251 = V320008 - 1. assign V072920 = V272043. assign V661382 = V455632. assign V367030 = V352531 + 1. assign V990000 = V688086 - 1. assign V452725 = V733205 - 1. assign V361742 = V833104 + 1. assign V743669 = V033100 - 1. assign V409429 = V163348 + 1. assign V679687 = V845646. assign V313937 = V486289. assign V545547 = V483299 + 1. assign V409356 = V160880 + 1. assign V383691 = V648277. assign V417567 = V303405 + 1. assign V754087 = V961823 + 1. assign V930102 = V210209. assign V884134 = V083052 - 1. assign V407961 = V328034 - 1. assign V374281 = V518600 + 1. assign V780200 = V766063 + 1. assign V063593 = V258578. assign V236000 = V204624 + 1. assign V927026 = V083052. assign V806301 = V524078 + 1. assign V491878 = V648277. assign V913696 = V193508 - 1. assign V518600 = V215014 - 1. assign V585078 = V856323 + 1. assign V006899 = V637446 + 1. assign V643092 = V845646 - 1. assign V819718 = V661382 + 1. assign V853443 = V076397 + 1. assign V486289 = V559793 + 1. assign V817331 = V501773 + 1. assign V475342 = V781338. assign V474840 = V483299. assign V297144 = V852750 - 1. assign V400673 = V860116 + 1. assign V895146 = V483299. assign V981344 = V094154. assign V998233 = V352531 + 1. assign V324591 = V059239 - 1. assign V394475 = V951413. assign V574258 = V260670 - 1. assign V157448 = V781338 - 1. assign V617768 = V998233 - 1. assign V559793 = V860116 + 1. assign V924792 = V094154 + 1. assign V602002 = V759131. assign V799993 = V697207 + 1. assign V815380 = V032568. assign V733205 = V186653 + 1. assign V769622 = V645776. assign V610040 = V797113. assign V786245 = V955592. assign V038614 = V897093 + 1. assign V975012 = V120206 + 1. assign V163747 = V643092 + 1. assign V513060 = V996023 - 1. assign V669330 = V755991 + 1. assign V427653 = V483299 + 1. assign V139030 = V452725 - 1. assign V190168 = V643092 + 1. assign V940111 = V459243. assign V006150 = V497710 + 1. assign V605655 = V098985. assign V899926 = V749508. assign V886201 = V263117. assign V433441 = V766867 - 1. assign V996023 = V749508 + 1. assign V932143 = V585336 - 1. assign V386203 = V897093 - 1. assign V193508 = V263117. assign V748521 = V660723 - 1. assign V221446 = V949703 + 1. assign V090768 = V639948 + 1. assign V718475 = V797113. assign V770435 = V585336 + 1. assign V260263 = V086488 - 1. assign V532519 = V519601 + 1. assign V056688 = V949703 + 1. assign V699873 = V417567 + 1. assign V311816 = V765709. assign V989003 = V210209 - 1. assign V308028 = V765709 + 1. assign V513427 = V207826 + 1. assign V730635 = V953328. assign V790034 = V759131 + 1. assign V080109 = V123479 + 1. assign V793975 = V288874 - 1. assign V827014 = V542829. assign V291188 = V083052 + 1. assign V831123 = V480743 - 1. assign V123479 = V390464 + 1. assign V449708 = V700395 - 1. assign V855527 = V006899 + 1. assign V431013 = V179035 + 1. assign V524078 = V895146 + 1. assign V697207 = V693989. assign V094154 = V483299. assign V979027 = V951413. assign V207826 = V697935 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V833104 = V220233 + 1. assign V903091 = V207826. assign V985524 = V554825. assign V795538 = V645776 - 1. assign V114675 = V237785 - 1. assign V471289 = V006150 - 1. assign V336514 = V724476 + 1. assign V663308 = V749508 + 1. assign V494545 = V729563 - 1. assign V707691 = V311816 - 1. assign V714423 = V688086. assign V791563 = V797113. assign V242111 = V953328 - 1. assign V320008 = V637446. assign V781338 = V378325 - 1. assign V845646 = V610040 + 1. assign V860116 = V697935 + 1. assign V696478 = V474840 - 1. assign V290004 = V876153. assign V237785 = V786245. assign V961823 = V742859 - 1. assign V272043 = V258578. assign V782975 = V220233 + 1. assign V497710 = V272043. assign V700395 = 7. assign V300296 = V235381 - 1. assign V466154 = V723599 - 1. assign V420677 = V981176. assign V385082 = V120206 + 1. assign V032568 = V718475. assign V695904 = V475342. assign V120206 = V497710. assign V866629 = V663308 - 1. assign V501773 = V615831. assign V740540 = V163348 + 1. assign V669121 = V303405 - 1. assign V551492 = V086488 + 1. assign V480743 = V157448 - 1. assign V449382 = V466102. assign V566645 = V790034. assign V511400 = V272043 + 1. assign V574530 = V766867 + 1. assign V794804 = V120206 - 1. assign V341427 = V459243 - 1. assign V869075 = V262269. assign V086488 = V238104 + 1. assign V246510 = V998233 - 1. assign V810155 = V729563 + 1. assign V517643 = V780200 - 1. assign V615831 = V696478 - 1. assign V352531 = V186653 + 1. assign V059239 = V697935 - 1. assign V878313 = V915119 + 1. assign V907866 = V884231 - 1. assign V739217 = V220233 + 1. assign V269796 = V449708 + 1. assign V332343 = V238104 + 1. assign V346813 = V639948 + 1. assign V915119 = V559793 - 1. assign V171574 = V320008 - 1. assign V554825 = V897093 + 1. assign V076397 = V378325. assign V288874 = V145500 - 1. assign V742859 = V615831 + 1. assign V639948 = V174140. assign V173390 = V384847 + 1. assign V390464 = V450151 - 1. assign V210209 = V599408. assign V168762 = V300296 - 1. assign V352009 = V606834. assign V455632 = V449708. assign V509049 = V501773 - 1. assign V258578 = V474840 + 1. assign V993174 = V288874 + 1. assign V263117 = V483299 - 1. assign V267446 = V616987 + 1. assign V391117 = V072920 + 1. assign V672494 = V294166 - 1. assign V303405 = V599408 - 1. assign V701450 = V336514 + 1. assign V497918 = V876153 - 1. assign V392636 = V123479 - 1. assign V242436 = V400673 + 1. assign V186653 = V220233. assign V587700 = V545547 - 1. assign V660723 = V006150. assign V184002 = V174140. assign V285274 = V352531 + 1. assign V329826 = V452725 + 1. assign V068241 = V610040 + 1. assign V215014 = V474840 + 1. assign V975342 = V599408 - 1. assign V852750 = V766867 - 1. assign V832954 = V186743 + 1. assign V058824 = V902222 + 1. assign V260670 = V308028. assign V585336 = V094154 + 1. assign V650793 = V797113 - 1. assign V584192 = V367030 + 1. assign V729563 = V384847 + 1. assign V299867 = V147476. assign V994839 = V601554 + 1. assign V207751 = V303405. assign V179035 = V781338 + 1. assign V033100 = V346813. assign V471163 = V450151 + 1. assign V088396 = V981344 + 1. assign V963335 = V697935. assign V601554 = V418080 - 1. assign V122042 = V669121 - 1. assign V648277 = V710856. assign V058592 = V766063 - 1. assign V755991 = V833104 + 1. assign V599408 = V427653 + 1. assign V302531 = V378325 - 1. assign V639382 = V701450 - 1. assign V056267 = V308028 - 1. assign V067931 = V059239. assign V010325 = V981344 + 1. assign V981176 = V290004. assign V381126 = V033100 + 1. assign V186743 = V517643. assign V174140 = V697935 - 1. assign V479971 = V524078 + 1. assign V909266 = V336514. assign V801724 = V833104. assign V619101 = V876153 - 1. assign V876153 = V352531 - 1. assign V972847 = V524078 - 1. assign V206174 = V145500. assign V475065 = V267446 - 1. assign V726395 = V650793 + 1. assign V235381 = V139030 - 1. assign V519601 = V793975 - 1. assign V765709 = V483299. assign V637446 = V781338. assign V327611 = V793975 - 1. assign V897093 = V392636. assign V697367 = V677232 + 1. assign V949703 = V288874 - 1. assign V262888 = V205907 - 1. assign V678536 = V184002 + 1. assign V294166 = V163348 + 1. assign V606834 = V669121 + 1. assign V122626 = V524078. assign V710856 = V285274. assign V457353 = V290004 + 1. assign V749508 = V501773 + 1. assign V403830 = V855527 + 1. assign V656686 = V466154 - 1. assign V329254 = V927026 + 1. assign V963972 = V643092 + 1. assign V544943 = V862413 - 1. assign V677232 = V010325. assign V953328 = V697935. assign V459243 = V246510. assign V894604 = V179035 + 1. assign V284228 = V518600 - 1. assign V056098 = V103467 + 1. assign V759131 = V718475. assign V685432 = V797113 + 1. assign V499268 = V869075 + 1. assign V238104 = V797113 + 1. assign V235637 = V145500 - 1. assign V951413 = V610040. assign V529176 = V782096 - 1. assign V796863 = V884231. assign V693989 = V688086. assign V103467 = V963972 - 1. assign V204624 = V963972 + 1. assign V262269 = V497710 - 1. assign V384847 = V083052 - 1. assign V504107 = V723599 + 1. assign V091177 = V907866 + 1. assign V740298 = V895146 - 1. assign V098985 = V951413. assign V500623 = V856323. assign V724476 = V094154 - 1. assign V133858 = V068241 + 1. assign V782096 = V207826 - 1. assign V627731 = V688086. assign V508848 = V511400 + 1. assign V476515 = V650793 - 1. assign V312355 = V060200 + 1. assign V378325 = V852750 + 1. assign V083052 = V981344 + 1. assign V195384 = V637446 - 1. assign V330847 = V184002 + 1. assign V414416 = V781338. assign V646502 = V449708 + 1. assign V451155 = V930102 + 1. assign V766063 = V693989 - 1. assign V160880 = V791563 + 1. assign V205907 = V006150 + 1. assign V616987 = V086488 - 1. assign V450151 = V336514 - 1. assign V234715 = V068241 - 1. assign V004367 = V207826. assign V688086 = V696478 + 1. assign V723599 = V474840 + 1. assign V955592 = V059239 - 1. assign V645776 = V511400 + 1. assign V372525 = V961823. assign V450337 = V645776 - 1. assign V526796 = V474840 - 1. assign V454752 = V476515. assign V902222 = V756916 + 1. assign V766867 = V094154 - 1. assign V163348 = V797113 + 1. assign V741065 = V696478 + 1. assign V978129 = V449708. assign V364823 = V402938 - 1. assign V157288 = V308028 + 1. assign V816320 = V639948. assign V752100 = V500623. assign V211143 = V452725. assign V542829 = V797113 + 1. assign V884231 = V585336 - 1. assign V328034 = V979027. assign V578732 = V639382 + 1. assign V211134 = V139030 - 1. assign V756916 = V587700 - 1. assign V407095 = V934502 - 1. assign V965236 = V067931. assign V697935 = V474840 - 1. assign V220233 = V697935 - 1. assign V402938 = V743669 + 1. assign V027242 = V346813 + 1. assign V145500 = V998233 - 1. assign V079455 = V799993 - 1. assign V796398 = V386203 + 1. assign V862413 = V269796 + 1. assign V320499 = V519601 - 1. assign V013365 = V688086 + 1. assign V839683 = V886201. assign V797113 = V696478 + 1. assign V594884 = V780200 - 1. assign V512758 = V696478 + 1. assign V966577 = V168762 - 1. assign V466102 = V782096 - 1. assign V060200 = V710856 + 1. assign V934502 = V517643 + 1. assign V626227 = V742859 - 1. assign V418080 = V336514 - 1. assign V698956 = V311816. assign V779925 = V450151. assign V147476 = V806301. assign V856323 = V718475 + 1. assign V318251 = V320008 - 1. assign V072920 = V272043. assign V661382 = V455632. assign V367030 = V352531 + 1. assign V990000 = V688086 - 1. assign V452725 = V733205 - 1. assign V361742 = V833104 + 1. assign V743669 = V033100 - 1. assign V409429 = V163348 + 1. assign V679687 = V845646. assign V313937 = V486289. assign V545547 = V483299 + 1. assign V409356 = V160880 + 1. assign V383691 = V648277. assign V417567 = V303405 + 1. assign V754087 = V961823 + 1. assign V930102 = V210209. assign V884134 = V083052 - 1. assign V407961 = V328034 - 1. assign V374281 = V518600 + 1. assign V780200 = V766063 + 1. assign V063593 = V258578. assign V236000 = V204624 + 1. assign V927026 = V083052. assign V806301 = V524078 + 1. assign V491878 = V648277. assign V913696 = V193508 - 1. assign V518600 = V215014 - 1. assign V585078 = V856323 + 1. assign V006899 = V637446 + 1. assign V643092 = V845646 - 1. assign V819718 = V661382 + 1. assign V853443 = V076397 + 1. assign V486289 = V559793 + 1. assign V817331 = V501773 + 1. assign V475342 = V781338. assign V474840 = V483299. assign V297144 = V852750 - 1. assign V400673 = V860116 + 1. assign V895146 = V483299. assign V981344 = V094154. assign V998233 = V352531 + 1. assign V324591 = V059239 - 1. assign V394475 = V951413. assign V574258 = V260670 - 1. assign V157448 = V781338 - 1. assign V617768 = V998233 - 1. assign V559793 = V860116 + 1. assign V924792 = V094154 + 1. assign V602002 = V759131. assign V799993 = V697207 + 1. assign V815380 = V032568. assign V733205 = V186653 + 1. assign V769622 = V645776. assign V610040 = V797113. assign V786245 = V955592. assign V038614 = V897093 + 1. assign V975012 = V120206 + 1. assign V163747 = V643092 + 1. assign V513060 = V996023 - 1. assign V669330 = V755991 + 1. assign V427653 = V483299 + 1. assign V139030 = V452725 - 1. assign V190168 = V643092 + 1. assign V940111 = V459243. assign V006150 = V497710 + 1. assign V605655 = V098985. assign V899926 = V749508. assign V886201 = V263117. assign V433441 = V766867 - 1. assign V996023 = V749508 + 1. assign V932143 = V585336 - 1. assign V386203 = V897093 - 1. assign V193508 = V263117. assign V748521 = V660723 - 1. assign V221446 = V949703 + 1. assign V090768 = V639948 + 1. assign V718475 = V797113. assign V770435 = V585336 + 1. assign V260263 = V086488 - 1. assign V532519 = V519601 + 1. assign V056688 = V949703 + 1. assign V699873 = V417567 + 1. assign V311816 = V765709. assign V989003 = V210209 - 1. assign V308028 = V765709 + 1. assign V513427 = V207826 + 1. assign V730635 = V953328. assign V790034 = V759131 + 1. assign V080109 = V123479 + 1. assign V793975 = V288874 - 1. assign V827014 = V542829. assign V291188 = V083052 + 1. assign V831123 = V480743 - 1. assign V123479 = V390464 + 1. assign V449708 = V700395 - 1. assign V855527 = V006899 + 1. assign V431013 = V179035 + 1. assign V524078 = V895146 + 1. assign V697207 = V693989. assign V094154 = V483299. assign V979027 = V951413. assign V207826 = V697935 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV700395 = 7;\n\nFrom these direct assignment(s), we have: \nV449708 = V700395 - 1 = 7 - 1 =6;\nV978129 = V449708 = 6;\nNo other varaibles can be derived from V978129;\nV646502 = V449708 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V646502;\nV455632 = V449708 = 6;\nV661382 = V455632 = 6;\nV819718 = V661382 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V819718;\nNo other varaibles can be derived from V661382;\nNo other varaibles can be derived from V455632;\nV269796 = V449708 + 1 = 6 + 1 =7;\nV862413 = V269796 + 1 = 7 + 1 =8;\nV544943 = V862413 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V544943;\nNo other varaibles can be derived from V862413;\nNo other varaibles can be derived from V269796;\nNo other varaibles can be derived from V449708;\nNo other varaibles can be derived from V700395;\n\nNow we have done all the calculations. Derived variables are:\nV700395 = 7;\nV449708 = 6;\nV978129 = 6;\nV646502 = 7;\nV455632 = 6;\nV661382 = 6;\nV819718 = 7;\nV269796 = 7;\nV862413 = 8;\nV544943 = 7;\n\nNow we have finished this problem. ANSWER:\nV449708, V978129, V455632, V661382\n", "role": "assistant" } ]

[ "V569323", "V724971" ]

[ { "content": "<context>\nassign V401434 = V380409 - 1. assign V660412 = V453076 + 1. assign V474678 = V462924 + 1. assign V901842 = V265182. assign V694094 = V542675 - 1. assign V635639 = V635293. assign V243266 = V028998 + 1. assign V058132 = V925378 - 1. assign V828694 = V696676 - 1. assign V740025 = V021530 + 1. assign V126034 = V298675 - 1. assign V904224 = V945669 + 1. assign V820033 = V740025. assign V021474 = V995620. assign V265182 = V801101 + 1. assign V081486 = V123874 - 1. assign V380937 = V773809 - 1. assign V804438 = V967157 + 1. assign V789617 = V318464. assign V408302 = V811621 + 1. assign V622520 = V538345 + 1. assign V467049 = V781184 - 1. assign V463844 = V070291 + 1. assign V281908 = V336649. assign V919333 = V412772 + 1. assign V126668 = V324922 - 1. assign V909980 = V687888 - 1. assign V231173 = V134003. assign V380409 = V516500 + 1. assign V997031 = V163690. assign V696676 = V308770. assign V072898 = V823564 + 1. assign V496569 = V072808 + 1. assign V650185 = V684061 - 1. assign V362817 = V927624 + 1. assign V459775 = V268488 - 1. assign V823564 = V068752 + 1. assign V612185 = V152432 + 1. assign V380051 = V976930 - 1. assign V755380 = V976930 + 1. assign V763889 = V140712. assign V920350 = V324922 + 1. assign V979920 = V724902 + 1. assign V121627 = V359416 - 1. assign V708163 = V843020 + 1. assign V843020 = V542675. assign V062613 = V308770 - 1. assign V937449 = V455820. assign V703401 = V683600 + 1. assign V962256 = V291774 + 1. assign V795835 = V460601 - 1. assign V520116 = V202506 + 1. assign V339712 = V270386 - 1. assign V639238 = V630383 - 1. assign V293874 = V976930 - 1. assign V445677 = V937449 - 1. assign V123874 = V047065. assign V327379 = V867121 - 1. assign V140712 = V221107 - 1. assign V684061 = V306511 + 1. assign V734954 = V850681. assign V616885 = V143874 + 1. assign V542731 = V689087. assign V694288 = V243266 - 1. assign V436252 = V866440. assign V798734 = V145952 - 1. assign V672254 = V134003 + 1. assign V056235 = V192607. assign V171768 = V903950 + 1. assign V985023 = V730979. assign V843313 = V397457 + 1. assign V371422 = V324922 - 1. assign V672222 = V538345. assign V795306 = V016552 - 1. assign V771230 = V224815 - 1. assign V192607 = V229453. assign V399136 = V925378 - 1. assign V687824 = V687888. assign V314670 = V823564 - 1. assign V094791 = V872354 + 1. assign V843530 = V145952. assign V383876 = V186232 + 1. assign V951985 = V403453. assign V359416 = V380409 + 1. assign V535478 = V107327 + 1. assign V542675 = V202506. assign V798979 = V976072. assign V719032 = V126668. assign V381492 = V460601. assign V070291 = V866440. assign V336482 = V487001. assign V197488 = V826589 - 1. assign V801101 = V084234 + 1. assign V291774 = V324922. assign V635293 = V984686 - 1. assign V037049 = V451420 + 1. assign V342536 = V273582 - 1. assign V726004 = V866440 - 1. assign V115440 = V081486. assign V941203 = V120592 - 1. assign V925378 = V433733 - 1. assign V072808 = V221107 - 1. assign V410615 = V296704 - 1. assign V995620 = V152432 + 1. assign V873146 = V753210 + 1. assign V898303 = V668402 - 1. assign V900248 = V401434 + 1. assign V988705 = V354654 - 1. assign V028998 = V336649 - 1. assign V903950 = V687888 + 1. assign V965080 = V898719. assign V955148 = V692107 - 1. assign V224496 = V354654 - 1. assign V337487 = V162879 + 1. assign V334891 = V724902 - 1. assign V354654 = V115440 + 1. assign V878884 = V394357 + 1. assign V283475 = V197488 + 1. assign V145952 = V687824. assign V026744 = V542675 + 1. assign V021530 = V698610 - 1. assign V520090 = V140712 - 1. assign V462924 = V802548 + 1. assign V318464 = V041125. assign V175636 = V904228. assign V119972 = V373713 - 1. assign V773809 = V958916. assign V742199 = V455820. assign V858403 = V747412 + 1. assign V361445 = V179881 - 1. assign V720343 = V152432 - 1. assign V264522 = V324922 + 1. assign V487001 = V462924 + 1. assign V029269 = V021474 - 1. assign V427236 = V955148 + 1. assign V082392 = V192607 - 1. assign V781184 = V120592. assign V086407 = V538345 - 1. assign V730979 = V764263. assign V850681 = V174057. assign V951656 = V586434. assign V162879 = V016552 - 1. assign V394357 = V126668. assign V453076 = V895994 + 1. assign V630383 = V264522. assign V754453 = V730979 - 1. assign V121193 = V251254 + 1. assign V112957 = V898719. assign V687888 = V764263. assign V747412 = V622606 - 1. assign V916340 = V811621 - 1. assign V686731 = V197488 - 1. assign V724971 = V107327 - 1. assign V927624 = V904224 + 1. assign V077616 = V617067 + 1. assign V698709 = V687888. assign V551574 = V028998 + 1. assign V268488 = V920350 + 1. assign V656507 = V866440 + 1. assign V296704 = V891059. assign V143874 = V068752 - 1. assign V163251 = V227071. assign V068752 = V920350. assign V689087 = V493369 + 1. assign V057883 = V028998 + 1. assign V522415 = V436252. assign V581515 = V684061 + 1. assign V867121 = V453076. assign V336649 = V324922 + 1. assign V451420 = V920350 - 1. assign V315366 = V476162. assign V397457 = V976930 + 1. assign V766983 = V622520 + 1. assign V251254 = V635293 + 1. assign V224815 = V850681 - 1. assign V468954 = V747412 - 1. assign V341314 = V984686. assign V489358 = V047065 + 1. assign V014685 = V843530. assign V764263 = V084234 + 1. assign V886513 = V308770. assign V592348 = V755380 - 1. assign V492262 = V984686 - 1. assign V053625 = V461030. assign V569323 = V318464 - 1. assign V324922 = V084234 - 1. assign V912581 = V220959 + 1. assign V247802 = V896889 + 1. assign V926113 = V265182 - 1. assign V872354 = V229453 + 1. assign V152432 = V281908 + 1. assign V724902 = V047065. assign V605033 = V740025. assign V227071 = V687824 + 1. assign V004489 = V337487 + 1. assign V796117 = V639238 + 1. assign V653741 = V551574 - 1. assign V731318 = V084234 + 1. assign V934273 = V724902 - 1. assign V802548 = V453627 - 1. assign V281675 = V174057. assign V534487 = V747412 + 1. assign V135472 = V536445 + 1. assign V984686 = V520116 - 1. assign V003588 = V727881 + 1. assign V504603 = V455820 - 1. assign V403453 = V536445. assign V711826 = V202506. assign V583185 = V724971 + 1. assign V691306 = V583185 + 1. assign V896889 = V962256 + 1. assign V316040 = V764263 + 1. assign V841732 = V795835 + 1. assign V493369 = V937449 - 1. assign V263205 = V487001 - 1. assign V444562 = V016552. assign V449483 = V962256 + 1. assign V554008 = V547195 - 1. assign V059637 = V898719 - 1. assign V351039 = V243266. assign V245437 = V976930 + 1. assign V728401 = V898719 + 1. assign V221107 = V126668 + 1. assign V229912 = V951985 + 1. assign V556111 = V152432 + 1. assign V081336 = V581515. assign V936007 = V192607 - 1. assign V945669 = V826589 + 1. assign V163690 = V898719. assign V145381 = V460601 - 1. assign V698610 = V764263 + 1. assign V845349 = V984686 - 1. assign V289498 = V084234 - 1. assign V846842 = V314670. assign V849678 = V380409 - 1. assign V298675 = V976930 + 1. assign V904228 = V845349 - 1. assign V273582 = V586332. assign V586332 = V316040 - 1. assign V186232 = V021530. assign V826589 = V072808 - 1. assign V811714 = V764263 - 1. assign V976072 = V380409 + 1. assign V817166 = V197488 + 1. assign V395344 = V291774 - 1. assign V692107 = V474678 + 1. assign V387943 = V900248 - 1. assign V617067 = V029269 - 1. assign V270386 = V336649. assign V436591 = V346754 - 1. assign V622606 = V460601 + 1. assign V537451 = V412772 - 1. assign V460807 = V433142 + 1. assign V174057 = V586332 + 1. assign V385190 = V113883 - 1. assign V314118 = V747412 - 1. assign V942426 = V436252 + 1. assign V340688 = V753210 - 1. assign V516500 = V542675 - 1. assign V220959 = V959643 + 1. assign V041125 = 1. assign V433142 = V314670 + 1. assign V891059 = V126668. assign V843284 = V828694 + 1. assign V455820 = V724902 - 1. assign V959643 = V809773. assign V016552 = V202506 + 1. assign V432931 = V995620 + 1. assign V461030 = V920350 - 1. assign V351841 = V901842 - 1. assign V772548 = V383876 + 1. assign V290321 = V026744 - 1. assign V898719 = V227071. assign V547195 = V163690 - 1. assign V810533 = V341314 + 1. assign V047065 = V925378. assign V373713 = V516500 - 1. assign V958916 = V341314 - 1. assign V811621 = V696676. assign V090131 = V536445 + 1. assign V809773 = V162879 + 1. assign V040498 = V764263 - 1. assign V186087 = V291774 + 1. assign V412772 = V801101. assign V349536 = V318464. assign V586109 = V922600 - 1. assign V749754 = V730979 + 1. assign V538345 = V962256 - 1. assign V453627 = V162879. assign V113883 = V747412. assign V229453 = V072808 - 1. assign V582385 = V186087 - 1. assign V105548 = V072808 + 1. assign V107327 = V569323 + 1. assign V162126 = V186232 - 1. assign V272215 = V866440 + 1. assign V499076 = V433733 + 1. assign V029752 = V962256 + 1. assign V220299 = V265182 - 1. assign V684643 = V891059. assign V120592 = V296704 - 1. assign V598985 = V316040. assign V866440 = V084234 + 1. assign V476162 = V493369 - 1. assign V179881 = V371422 - 1. assign V131711 = V290321 - 1. assign V608262 = V764263 - 1. assign V031741 = V359416 + 1. assign V748296 = V798734 + 1. assign V753210 = V804438. assign V631756 = V433733 + 1. assign V460601 = V764263. assign V085271 = V303290. assign V023562 = V764263 + 1. assign V433733 = V698610 + 1. assign V976930 = V016552 - 1. assign V668402 = V113883 - 1. assign V443743 = V346754 + 1. assign V727881 = V028998. assign V134003 = V028998 - 1. assign V967157 = V412772. assign V944150 = V040498. assign V428609 = V186232 + 1. assign V574925 = V995620 - 1. assign V966750 = V630383 + 1. assign V683600 = V373713 + 1. assign V550524 = V090131 + 1. assign V202506 = V920350 + 1. assign V222469 = V755380 + 1. assign V308770 = V542675 + 1. assign V536123 = V296704 - 1. assign V636789 = V898719 + 1. assign V866787 = V966750 + 1. assign V211671 = V342536. assign V547429 = V140712. assign V346754 = V336649 - 1. assign V812227 = V031741 - 1. assign V536445 = V202506 - 1. assign V523023 = V401434 - 1. assign V847052 = V516500 + 1. assign V922600 = V243266 - 1. assign V887895 = V656507. assign V895994 = V687888. assign V281800 = V134003 + 1. assign V586434 = V229453 + 1. assign V262258 = V747412 - 1. assign V303290 = V224815 + 1. assign V306511 = V461030 + 1. assign V049524 = V926113 - 1. assign V213549 = V537451 - 1. assign V257352 = V245437 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V401434 = V380409 - 1. assign V660412 = V453076 + 1. assign V474678 = V462924 + 1. assign V901842 = V265182. assign V694094 = V542675 - 1. assign V635639 = V635293. assign V243266 = V028998 + 1. assign V058132 = V925378 - 1. assign V828694 = V696676 - 1. assign V740025 = V021530 + 1. assign V126034 = V298675 - 1. assign V904224 = V945669 + 1. assign V820033 = V740025. assign V021474 = V995620. assign V265182 = V801101 + 1. assign V081486 = V123874 - 1. assign V380937 = V773809 - 1. assign V804438 = V967157 + 1. assign V789617 = V318464. assign V408302 = V811621 + 1. assign V622520 = V538345 + 1. assign V467049 = V781184 - 1. assign V463844 = V070291 + 1. assign V281908 = V336649. assign V919333 = V412772 + 1. assign V126668 = V324922 - 1. assign V909980 = V687888 - 1. assign V231173 = V134003. assign V380409 = V516500 + 1. assign V997031 = V163690. assign V696676 = V308770. assign V072898 = V823564 + 1. assign V496569 = V072808 + 1. assign V650185 = V684061 - 1. assign V362817 = V927624 + 1. assign V459775 = V268488 - 1. assign V823564 = V068752 + 1. assign V612185 = V152432 + 1. assign V380051 = V976930 - 1. assign V755380 = V976930 + 1. assign V763889 = V140712. assign V920350 = V324922 + 1. assign V979920 = V724902 + 1. assign V121627 = V359416 - 1. assign V708163 = V843020 + 1. assign V843020 = V542675. assign V062613 = V308770 - 1. assign V937449 = V455820. assign V703401 = V683600 + 1. assign V962256 = V291774 + 1. assign V795835 = V460601 - 1. assign V520116 = V202506 + 1. assign V339712 = V270386 - 1. assign V639238 = V630383 - 1. assign V293874 = V976930 - 1. assign V445677 = V937449 - 1. assign V123874 = V047065. assign V327379 = V867121 - 1. assign V140712 = V221107 - 1. assign V684061 = V306511 + 1. assign V734954 = V850681. assign V616885 = V143874 + 1. assign V542731 = V689087. assign V694288 = V243266 - 1. assign V436252 = V866440. assign V798734 = V145952 - 1. assign V672254 = V134003 + 1. assign V056235 = V192607. assign V171768 = V903950 + 1. assign V985023 = V730979. assign V843313 = V397457 + 1. assign V371422 = V324922 - 1. assign V672222 = V538345. assign V795306 = V016552 - 1. assign V771230 = V224815 - 1. assign V192607 = V229453. assign V399136 = V925378 - 1. assign V687824 = V687888. assign V314670 = V823564 - 1. assign V094791 = V872354 + 1. assign V843530 = V145952. assign V383876 = V186232 + 1. assign V951985 = V403453. assign V359416 = V380409 + 1. assign V535478 = V107327 + 1. assign V542675 = V202506. assign V798979 = V976072. assign V719032 = V126668. assign V381492 = V460601. assign V070291 = V866440. assign V336482 = V487001. assign V197488 = V826589 - 1. assign V801101 = V084234 + 1. assign V291774 = V324922. assign V635293 = V984686 - 1. assign V037049 = V451420 + 1. assign V342536 = V273582 - 1. assign V726004 = V866440 - 1. assign V115440 = V081486. assign V941203 = V120592 - 1. assign V925378 = V433733 - 1. assign V072808 = V221107 - 1. assign V410615 = V296704 - 1. assign V995620 = V152432 + 1. assign V873146 = V753210 + 1. assign V898303 = V668402 - 1. assign V900248 = V401434 + 1. assign V988705 = V354654 - 1. assign V028998 = V336649 - 1. assign V903950 = V687888 + 1. assign V965080 = V898719. assign V955148 = V692107 - 1. assign V224496 = V354654 - 1. assign V337487 = V162879 + 1. assign V334891 = V724902 - 1. assign V354654 = V115440 + 1. assign V878884 = V394357 + 1. assign V283475 = V197488 + 1. assign V145952 = V687824. assign V026744 = V542675 + 1. assign V021530 = V698610 - 1. assign V520090 = V140712 - 1. assign V462924 = V802548 + 1. assign V318464 = V041125. assign V175636 = V904228. assign V119972 = V373713 - 1. assign V773809 = V958916. assign V742199 = V455820. assign V858403 = V747412 + 1. assign V361445 = V179881 - 1. assign V720343 = V152432 - 1. assign V264522 = V324922 + 1. assign V487001 = V462924 + 1. assign V029269 = V021474 - 1. assign V427236 = V955148 + 1. assign V082392 = V192607 - 1. assign V781184 = V120592. assign V086407 = V538345 - 1. assign V730979 = V764263. assign V850681 = V174057. assign V951656 = V586434. assign V162879 = V016552 - 1. assign V394357 = V126668. assign V453076 = V895994 + 1. assign V630383 = V264522. assign V754453 = V730979 - 1. assign V121193 = V251254 + 1. assign V112957 = V898719. assign V687888 = V764263. assign V747412 = V622606 - 1. assign V916340 = V811621 - 1. assign V686731 = V197488 - 1. assign V724971 = V107327 - 1. assign V927624 = V904224 + 1. assign V077616 = V617067 + 1. assign V698709 = V687888. assign V551574 = V028998 + 1. assign V268488 = V920350 + 1. assign V656507 = V866440 + 1. assign V296704 = V891059. assign V143874 = V068752 - 1. assign V163251 = V227071. assign V068752 = V920350. assign V689087 = V493369 + 1. assign V057883 = V028998 + 1. assign V522415 = V436252. assign V581515 = V684061 + 1. assign V867121 = V453076. assign V336649 = V324922 + 1. assign V451420 = V920350 - 1. assign V315366 = V476162. assign V397457 = V976930 + 1. assign V766983 = V622520 + 1. assign V251254 = V635293 + 1. assign V224815 = V850681 - 1. assign V468954 = V747412 - 1. assign V341314 = V984686. assign V489358 = V047065 + 1. assign V014685 = V843530. assign V764263 = V084234 + 1. assign V886513 = V308770. assign V592348 = V755380 - 1. assign V492262 = V984686 - 1. assign V053625 = V461030. assign V569323 = V318464 - 1. assign V324922 = V084234 - 1. assign V912581 = V220959 + 1. assign V247802 = V896889 + 1. assign V926113 = V265182 - 1. assign V872354 = V229453 + 1. assign V152432 = V281908 + 1. assign V724902 = V047065. assign V605033 = V740025. assign V227071 = V687824 + 1. assign V004489 = V337487 + 1. assign V796117 = V639238 + 1. assign V653741 = V551574 - 1. assign V731318 = V084234 + 1. assign V934273 = V724902 - 1. assign V802548 = V453627 - 1. assign V281675 = V174057. assign V534487 = V747412 + 1. assign V135472 = V536445 + 1. assign V984686 = V520116 - 1. assign V003588 = V727881 + 1. assign V504603 = V455820 - 1. assign V403453 = V536445. assign V711826 = V202506. assign V583185 = V724971 + 1. assign V691306 = V583185 + 1. assign V896889 = V962256 + 1. assign V316040 = V764263 + 1. assign V841732 = V795835 + 1. assign V493369 = V937449 - 1. assign V263205 = V487001 - 1. assign V444562 = V016552. assign V449483 = V962256 + 1. assign V554008 = V547195 - 1. assign V059637 = V898719 - 1. assign V351039 = V243266. assign V245437 = V976930 + 1. assign V728401 = V898719 + 1. assign V221107 = V126668 + 1. assign V229912 = V951985 + 1. assign V556111 = V152432 + 1. assign V081336 = V581515. assign V936007 = V192607 - 1. assign V945669 = V826589 + 1. assign V163690 = V898719. assign V145381 = V460601 - 1. assign V698610 = V764263 + 1. assign V845349 = V984686 - 1. assign V289498 = V084234 - 1. assign V846842 = V314670. assign V849678 = V380409 - 1. assign V298675 = V976930 + 1. assign V904228 = V845349 - 1. assign V273582 = V586332. assign V586332 = V316040 - 1. assign V186232 = V021530. assign V826589 = V072808 - 1. assign V811714 = V764263 - 1. assign V976072 = V380409 + 1. assign V817166 = V197488 + 1. assign V395344 = V291774 - 1. assign V692107 = V474678 + 1. assign V387943 = V900248 - 1. assign V617067 = V029269 - 1. assign V270386 = V336649. assign V436591 = V346754 - 1. assign V622606 = V460601 + 1. assign V537451 = V412772 - 1. assign V460807 = V433142 + 1. assign V174057 = V586332 + 1. assign V385190 = V113883 - 1. assign V314118 = V747412 - 1. assign V942426 = V436252 + 1. assign V340688 = V753210 - 1. assign V516500 = V542675 - 1. assign V220959 = V959643 + 1. assign V041125 = 1. assign V433142 = V314670 + 1. assign V891059 = V126668. assign V843284 = V828694 + 1. assign V455820 = V724902 - 1. assign V959643 = V809773. assign V016552 = V202506 + 1. assign V432931 = V995620 + 1. assign V461030 = V920350 - 1. assign V351841 = V901842 - 1. assign V772548 = V383876 + 1. assign V290321 = V026744 - 1. assign V898719 = V227071. assign V547195 = V163690 - 1. assign V810533 = V341314 + 1. assign V047065 = V925378. assign V373713 = V516500 - 1. assign V958916 = V341314 - 1. assign V811621 = V696676. assign V090131 = V536445 + 1. assign V809773 = V162879 + 1. assign V040498 = V764263 - 1. assign V186087 = V291774 + 1. assign V412772 = V801101. assign V349536 = V318464. assign V586109 = V922600 - 1. assign V749754 = V730979 + 1. assign V538345 = V962256 - 1. assign V453627 = V162879. assign V113883 = V747412. assign V229453 = V072808 - 1. assign V582385 = V186087 - 1. assign V105548 = V072808 + 1. assign V107327 = V569323 + 1. assign V162126 = V186232 - 1. assign V272215 = V866440 + 1. assign V499076 = V433733 + 1. assign V029752 = V962256 + 1. assign V220299 = V265182 - 1. assign V684643 = V891059. assign V120592 = V296704 - 1. assign V598985 = V316040. assign V866440 = V084234 + 1. assign V476162 = V493369 - 1. assign V179881 = V371422 - 1. assign V131711 = V290321 - 1. assign V608262 = V764263 - 1. assign V031741 = V359416 + 1. assign V748296 = V798734 + 1. assign V753210 = V804438. assign V631756 = V433733 + 1. assign V460601 = V764263. assign V085271 = V303290. assign V023562 = V764263 + 1. assign V433733 = V698610 + 1. assign V976930 = V016552 - 1. assign V668402 = V113883 - 1. assign V443743 = V346754 + 1. assign V727881 = V028998. assign V134003 = V028998 - 1. assign V967157 = V412772. assign V944150 = V040498. assign V428609 = V186232 + 1. assign V574925 = V995620 - 1. assign V966750 = V630383 + 1. assign V683600 = V373713 + 1. assign V550524 = V090131 + 1. assign V202506 = V920350 + 1. assign V222469 = V755380 + 1. assign V308770 = V542675 + 1. assign V536123 = V296704 - 1. assign V636789 = V898719 + 1. assign V866787 = V966750 + 1. assign V211671 = V342536. assign V547429 = V140712. assign V346754 = V336649 - 1. assign V812227 = V031741 - 1. assign V536445 = V202506 - 1. assign V523023 = V401434 - 1. assign V847052 = V516500 + 1. assign V922600 = V243266 - 1. assign V887895 = V656507. assign V895994 = V687888. assign V281800 = V134003 + 1. assign V586434 = V229453 + 1. assign V262258 = V747412 - 1. assign V303290 = V224815 + 1. assign V306511 = V461030 + 1. assign V049524 = V926113 - 1. assign V213549 = V537451 - 1. assign V257352 = V245437 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV041125 = 1;\n\nFrom these direct assignment(s), we have: \nV318464 = V041125 = 1;\nV349536 = V318464 = 1;\nNo other varaibles can be derived from V349536;\nV569323 = V318464 - 1 = 1 - 1 =0;\nV107327 = V569323 + 1 = 0 + 1 =1;\nV724971 = V107327 - 1 = 1 - 1 =0;\nV583185 = V724971 + 1 = 0 + 1 =1;\nV691306 = V583185 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V691306;\nNo other varaibles can be derived from V583185;\nNo other varaibles can be derived from V724971;\nV535478 = V107327 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V535478;\nNo other varaibles can be derived from V107327;\nNo other varaibles can be derived from V569323;\nV789617 = V318464 = 1;\nNo other varaibles can be derived from V789617;\nNo other varaibles can be derived from V318464;\nNo other varaibles can be derived from V041125;\n\nNow we have done all the calculations. Derived variables are:\nV041125 = 1;\nV318464 = 1;\nV349536 = 1;\nV569323 = 0;\nV107327 = 1;\nV724971 = 0;\nV583185 = 1;\nV691306 = 2;\nV535478 = 2;\nV789617 = 1;\n\nNow we have finished this problem. ANSWER:\nV569323, V724971\n", "role": "assistant" } ]

[ "V123323", "V338861", "V721979" ]

[ { "content": "<context>\nassign V987563 = V724390. assign V501046 = V621647. assign V550634 = V445071 + 1. assign V566082 = V612512 + 1. assign V008706 = V646984. assign V434629 = V784288 - 1. assign V156295 = V661140 + 1. assign V003482 = V040999. assign V585849 = V295225. assign V342290 = V995149. assign V614627 = V445071 + 1. assign V424842 = V037675. assign V596848 = V115384 + 1. assign V958798 = V123323 - 1. assign V786911 = V031980. assign V762455 = V053661 + 1. assign V138465 = V264277 - 1. assign V535195 = V227212 - 1. assign V212067 = V696892 + 1. assign V739209 = V381168 + 1. assign V400544 = V684451 - 1. assign V570826 = V865908. assign V776438 = V742981 + 1. assign V234267 = V019818. assign V818326 = V231465 + 1. assign V033491 = V115384 - 1. assign V787545 = V057196 - 1. assign V666353 = V368196. assign V510123 = V585849. assign V344997 = V078472. assign V981632 = V115384 + 1. assign V615777 = V510123 - 1. assign V188225 = V335538 + 1. assign V834888 = V018250. assign V248300 = V053661 + 1. assign V500850 = V869693 - 1. assign V693898 = V427403 - 1. assign V385159 = V941221. assign V964829 = V501046 - 1. assign V078773 = V213334 + 1. assign V751819 = V537215 + 1. assign V623089 = V424842. assign V000553 = V875373 - 1. assign V998615 = V331456. assign V767759 = V880357 - 1. assign V227575 = V433652. assign V934537 = V573353 - 1. assign V097645 = V335538. assign V073504 = V400444 + 1. assign V316246 = V666311 - 1. assign V561971 = V065833 + 1. assign V974728 = V186630 + 1. assign V664795 = V400444. assign V045380 = V767759. assign V018250 = V368196 + 1. assign V581062 = V380207. assign V488464 = V801180. assign V714915 = V003570. assign V426697 = V331456 - 1. assign V014215 = V078773. assign V272063 = V290065 + 1. assign V869329 = V410000. assign V181602 = V280325. assign V218097 = V290961 + 1. assign V388421 = V987563 + 1. assign V841051 = V714915 - 1. assign V789669 = V776184 - 1. assign V801429 = V684451 - 1. assign V743462 = V823747. assign V290065 = V854308 + 1. assign V213334 = V642120 - 1. assign V368074 = V958798 - 1. assign V124931 = V109800 - 1. assign V186630 = V747034. assign V990376 = V496343. assign V221316 = V297659. assign V251263 = V786911. assign V420250 = V290961 + 1. assign V688904 = V838713 + 1. assign V085173 = V810744. assign V006753 = V053661. assign V995149 = V784288 - 1. assign V683423 = V514827 + 1. assign V627219 = V427403 + 1. assign V349094 = V661140. assign V477969 = V623089 - 1. assign V970649 = V661140. assign V885312 = V962643. assign V525882 = V297659 + 1. assign V536153 = V120369 + 1. assign V304504 = V742981 - 1. assign V555384 = V400444 + 1. assign V810744 = V537215. assign V664968 = V770483 + 1. assign V295225 = V416233. assign V870838 = V088472. assign V478743 = V590330 - 1. assign V289693 = V941221 - 1. assign V331456 = V661140 - 1. assign V840192 = V045380 - 1. assign V621647 = V754824 - 1. assign V877909 = V272063. assign V642120 = V693898 - 1. assign V461672 = V518127. assign V461477 = V786911. assign V405157 = V762455 + 1. assign V652101 = V331456. assign V040999 = V031980 + 1. assign V467832 = V869693 + 1. assign V029998 = V684451. assign V880357 = V400444 + 1. assign V849571 = V244175. assign V823747 = V433652. assign V947520 = V335538 - 1. assign V795440 = V213062 + 1. assign V642325 = V410000 + 1. assign V590330 = V213062 - 1. assign V612512 = V380207 - 1. assign V078472 = V843249 + 1. assign V736636 = V934537. assign V965617 = V237027 + 1. assign V652817 = V109800 + 1. assign V012621 = V400444. assign V559989 = V360388. assign V227212 = V213062 + 1. assign V773740 = V244175 + 1. assign V636677 = V380207. assign V360388 = 1. assign V137531 = V410000 - 1. assign V152722 = V027644 + 1. assign V591205 = V226749 + 1. assign V952810 = V188225 - 1. assign V688626 = V021406 - 1. assign V085850 = V371945 + 1. assign V410000 = V109800 + 1. assign V379328 = V438286. assign V125834 = V743462. assign V535925 = V186143. assign V965669 = V365581. assign V843249 = V863578 + 1. assign V600561 = V457831 - 1. assign V053661 = V754824. assign V445071 = V646984. assign V502925 = V380207 + 1. assign V442764 = V854308 + 1. assign V770483 = V644344. assign V015113 = V496343. assign V380207 = V213062 + 1. assign V231465 = V124931 + 1. assign V250039 = V550634 - 1. assign V123323 = V784717 - 1. assign V950652 = V743462 - 1. assign V983778 = V360388 + 1. assign V200830 = V868641 - 1. assign V569314 = V535195 + 1. assign V803171 = V561971 - 1. assign V331024 = V647617 + 1. assign V362805 = V555384 + 1. assign V865908 = V186143 + 1. assign V449467 = V344997 + 1. assign V240312 = V012621 + 1. assign V582058 = V031980. assign V868641 = V643920. assign V881126 = V380207 + 1. assign V679276 = V488464. assign V930271 = V003570 - 1. assign V794796 = V040999 - 1. assign V609567 = V115384 + 1. assign V518127 = V438062. assign V286138 = V232653. assign V799727 = V518127 + 1. assign V889140 = V661140 + 1. assign V457831 = V232653. assign V733767 = V467832 - 1. assign V854308 = V317050 - 1. assign V916481 = V596848 - 1. assign V703478 = V500850 - 1. assign V875373 = V533068. assign V977556 = V784288. assign V280325 = V590330 - 1. assign V088472 = V227212. assign V158639 = V097645 + 1. assign V496343 = V433652 - 1. assign V644388 = V045380. assign V491524 = V849571 - 1. assign V190687 = V756949. assign V636823 = V991956. assign V085263 = V033491 - 1. assign V523740 = V097645. assign V514827 = V642325. assign V305413 = V338861 + 1. assign V947925 = V371945. assign V400444 = V754824 + 1. assign V573353 = V227212 + 1. assign V661140 = V012621 + 1. assign V427403 = V115384. assign V199729 = V838713 - 1. assign V199651 = V188225 - 1. assign V339645 = V367447 + 1. assign V360923 = V244175 - 1. assign V763287 = V767934 - 1. assign V440979 = V213062 + 1. assign V404781 = V643920. assign V071996 = V969801 - 1. assign V756949 = V038078 + 1. assign V140052 = V371945 + 1. assign V858617 = V237027. assign V150422 = V365581 - 1. assign V038674 = V038192 + 1. assign V904620 = V941221. assign V379939 = V951513 + 1. assign V120369 = V880357 - 1. assign V065833 = V773740 + 1. assign V713961 = V523740 + 1. assign V722585 = V461477 - 1. assign V037675 = V440979 - 1. assign V824093 = V754824. assign V584476 = V869693. assign V179956 = V784288. assign V232653 = V115384. assign V646984 = V053661 + 1. assign V162155 = V344997. assign V367447 = V849571 - 1. assign V869693 = V947520 + 1. assign V698338 = V003570 - 1. assign V784717 = V360388. assign V557170 = V385159 - 1. assign V521506 = V854308. assign V885858 = V854308 + 1. assign V838713 = V400444. assign V438062 = V880357 - 1. assign V176159 = V339948 + 1. assign V347113 = V742981. assign V021406 = V537215 - 1. assign V788252 = V141295. assign V767063 = V152722. assign V567315 = V636823 - 1. assign V182562 = V621647. assign V433652 = V427403. assign V355027 = V523740 + 1. assign V822817 = V331456 - 1. assign V365581 = V349094 - 1. assign V784288 = V590330 + 1. assign V014422 = V969801 + 1. assign V141295 = V237027 - 1. assign V484366 = V006753 - 1. assign V647888 = V854308 - 1. assign V057196 = V934537 - 1. assign V317907 = V317050 - 1. assign V945380 = V003482 + 1. assign V130083 = V433652 + 1. assign V019818 = V621647 + 1. assign V003570 = V596848. assign V027644 = V188225 - 1. assign V704589 = V889140. assign V421138 = V088472 + 1. assign V339948 = V535925. assign V537215 = V213062 - 1. assign V664532 = V703503 - 1. assign V317050 = V400444 - 1. assign V814526 = V636823. assign V226749 = V295225 + 1. assign V421061 = V405157 - 1. assign V038994 = V536153. assign V438286 = V038078 - 1. assign V437410 = V773740. assign V410562 = V053661 + 1. assign V186143 = V590330 - 1. assign V717476 = V584476. assign V536590 = V621647. assign V941221 = V297659 + 1. assign V243116 = V040999. assign V549090 = V561971. assign V863578 = V664795. assign V645387 = V525882. assign V521524 = V031980. assign V617400 = V445071 - 1. assign V606205 = V053661. assign V274265 = V443162. assign V522927 = V331456 - 1. assign V040926 = V331024 - 1. assign V776184 = V786911. assign V109800 = V410562 + 1. assign V962643 = V947925 + 1. assign V991956 = V518127 - 1. assign V754824 = V213062 + 1. assign V943610 = V736636. assign V381168 = V053661 - 1. assign V710389 = V237027 + 1. assign V237027 = V410562 + 1. assign V290961 = V661140 - 1. assign V767934 = V684451 + 1. assign V107609 = V927373 + 1. assign V115384 = V400444 - 1. assign V666311 = V107609 + 1. assign V643920 = V335538 + 1. assign V416233 = V027644 + 1. assign V368196 = V053661 - 1. assign V338861 = V360388 - 1. assign V443162 = V421138. assign V742981 = V555384. assign V696892 = V661140 + 1. assign V374301 = V843249. assign V969801 = V434629 + 1. assign V801180 = V006753 + 1. assign V572486 = V743462 + 1. assign V644344 = V368196 + 1. assign V184972 = V496343. assign V413490 = V227575 - 1. assign V534925 = V008706. assign V951513 = V742981 + 1. assign V671289 = V621647. assign V779943 = V140052 - 1. assign V264277 = V371945 - 1. assign V242815 = V606205. assign V600635 = V012621 - 1. assign V703503 = V868641. assign V038078 = V331456 + 1. assign V160174 = V868641 - 1. assign V814501 = V040926 - 1. assign V335538 = V410562. assign V318361 = V221316. assign V876083 = V522927 - 1. assign V244175 = V335538. assign V954520 = V008706 + 1. assign V164958 = V621647 + 1. assign V862686 = V661140 + 1. assign V054444 = V290961. assign V297659 = V433652 + 1. assign V533068 = V012621 - 1. assign V067865 = V107609 - 1. assign V684451 = V381168. assign V724390 = V787545. assign V038192 = V514827 - 1. assign V031980 = V646984. assign V141969 = V767759. assign V159224 = V232653. assign V583773 = V875373. assign V986492 = V027644 + 1. assign V647617 = V410562. assign V529243 = V290065. assign V721979 = V338861. assign V109647 = V995149 + 1. assign V543332 = V824093. assign V561945 = V400444 + 1. assign V927373 = V869693 - 1. assign V512880 = V445071. assign V301261 = V240312. assign V747034 = V889140 - 1. assign V371945 = V880357 + 1. assign V463742 = V614627 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V987563 = V724390. assign V501046 = V621647. assign V550634 = V445071 + 1. assign V566082 = V612512 + 1. assign V008706 = V646984. assign V434629 = V784288 - 1. assign V156295 = V661140 + 1. assign V003482 = V040999. assign V585849 = V295225. assign V342290 = V995149. assign V614627 = V445071 + 1. assign V424842 = V037675. assign V596848 = V115384 + 1. assign V958798 = V123323 - 1. assign V786911 = V031980. assign V762455 = V053661 + 1. assign V138465 = V264277 - 1. assign V535195 = V227212 - 1. assign V212067 = V696892 + 1. assign V739209 = V381168 + 1. assign V400544 = V684451 - 1. assign V570826 = V865908. assign V776438 = V742981 + 1. assign V234267 = V019818. assign V818326 = V231465 + 1. assign V033491 = V115384 - 1. assign V787545 = V057196 - 1. assign V666353 = V368196. assign V510123 = V585849. assign V344997 = V078472. assign V981632 = V115384 + 1. assign V615777 = V510123 - 1. assign V188225 = V335538 + 1. assign V834888 = V018250. assign V248300 = V053661 + 1. assign V500850 = V869693 - 1. assign V693898 = V427403 - 1. assign V385159 = V941221. assign V964829 = V501046 - 1. assign V078773 = V213334 + 1. assign V751819 = V537215 + 1. assign V623089 = V424842. assign V000553 = V875373 - 1. assign V998615 = V331456. assign V767759 = V880357 - 1. assign V227575 = V433652. assign V934537 = V573353 - 1. assign V097645 = V335538. assign V073504 = V400444 + 1. assign V316246 = V666311 - 1. assign V561971 = V065833 + 1. assign V974728 = V186630 + 1. assign V664795 = V400444. assign V045380 = V767759. assign V018250 = V368196 + 1. assign V581062 = V380207. assign V488464 = V801180. assign V714915 = V003570. assign V426697 = V331456 - 1. assign V014215 = V078773. assign V272063 = V290065 + 1. assign V869329 = V410000. assign V181602 = V280325. assign V218097 = V290961 + 1. assign V388421 = V987563 + 1. assign V841051 = V714915 - 1. assign V789669 = V776184 - 1. assign V801429 = V684451 - 1. assign V743462 = V823747. assign V290065 = V854308 + 1. assign V213334 = V642120 - 1. assign V368074 = V958798 - 1. assign V124931 = V109800 - 1. assign V186630 = V747034. assign V990376 = V496343. assign V221316 = V297659. assign V251263 = V786911. assign V420250 = V290961 + 1. assign V688904 = V838713 + 1. assign V085173 = V810744. assign V006753 = V053661. assign V995149 = V784288 - 1. assign V683423 = V514827 + 1. assign V627219 = V427403 + 1. assign V349094 = V661140. assign V477969 = V623089 - 1. assign V970649 = V661140. assign V885312 = V962643. assign V525882 = V297659 + 1. assign V536153 = V120369 + 1. assign V304504 = V742981 - 1. assign V555384 = V400444 + 1. assign V810744 = V537215. assign V664968 = V770483 + 1. assign V295225 = V416233. assign V870838 = V088472. assign V478743 = V590330 - 1. assign V289693 = V941221 - 1. assign V331456 = V661140 - 1. assign V840192 = V045380 - 1. assign V621647 = V754824 - 1. assign V877909 = V272063. assign V642120 = V693898 - 1. assign V461672 = V518127. assign V461477 = V786911. assign V405157 = V762455 + 1. assign V652101 = V331456. assign V040999 = V031980 + 1. assign V467832 = V869693 + 1. assign V029998 = V684451. assign V880357 = V400444 + 1. assign V849571 = V244175. assign V823747 = V433652. assign V947520 = V335538 - 1. assign V795440 = V213062 + 1. assign V642325 = V410000 + 1. assign V590330 = V213062 - 1. assign V612512 = V380207 - 1. assign V078472 = V843249 + 1. assign V736636 = V934537. assign V965617 = V237027 + 1. assign V652817 = V109800 + 1. assign V012621 = V400444. assign V559989 = V360388. assign V227212 = V213062 + 1. assign V773740 = V244175 + 1. assign V636677 = V380207. assign V360388 = 1. assign V137531 = V410000 - 1. assign V152722 = V027644 + 1. assign V591205 = V226749 + 1. assign V952810 = V188225 - 1. assign V688626 = V021406 - 1. assign V085850 = V371945 + 1. assign V410000 = V109800 + 1. assign V379328 = V438286. assign V125834 = V743462. assign V535925 = V186143. assign V965669 = V365581. assign V843249 = V863578 + 1. assign V600561 = V457831 - 1. assign V053661 = V754824. assign V445071 = V646984. assign V502925 = V380207 + 1. assign V442764 = V854308 + 1. assign V770483 = V644344. assign V015113 = V496343. assign V380207 = V213062 + 1. assign V231465 = V124931 + 1. assign V250039 = V550634 - 1. assign V123323 = V784717 - 1. assign V950652 = V743462 - 1. assign V983778 = V360388 + 1. assign V200830 = V868641 - 1. assign V569314 = V535195 + 1. assign V803171 = V561971 - 1. assign V331024 = V647617 + 1. assign V362805 = V555384 + 1. assign V865908 = V186143 + 1. assign V449467 = V344997 + 1. assign V240312 = V012621 + 1. assign V582058 = V031980. assign V868641 = V643920. assign V881126 = V380207 + 1. assign V679276 = V488464. assign V930271 = V003570 - 1. assign V794796 = V040999 - 1. assign V609567 = V115384 + 1. assign V518127 = V438062. assign V286138 = V232653. assign V799727 = V518127 + 1. assign V889140 = V661140 + 1. assign V457831 = V232653. assign V733767 = V467832 - 1. assign V854308 = V317050 - 1. assign V916481 = V596848 - 1. assign V703478 = V500850 - 1. assign V875373 = V533068. assign V977556 = V784288. assign V280325 = V590330 - 1. assign V088472 = V227212. assign V158639 = V097645 + 1. assign V496343 = V433652 - 1. assign V644388 = V045380. assign V491524 = V849571 - 1. assign V190687 = V756949. assign V636823 = V991956. assign V085263 = V033491 - 1. assign V523740 = V097645. assign V514827 = V642325. assign V305413 = V338861 + 1. assign V947925 = V371945. assign V400444 = V754824 + 1. assign V573353 = V227212 + 1. assign V661140 = V012621 + 1. assign V427403 = V115384. assign V199729 = V838713 - 1. assign V199651 = V188225 - 1. assign V339645 = V367447 + 1. assign V360923 = V244175 - 1. assign V763287 = V767934 - 1. assign V440979 = V213062 + 1. assign V404781 = V643920. assign V071996 = V969801 - 1. assign V756949 = V038078 + 1. assign V140052 = V371945 + 1. assign V858617 = V237027. assign V150422 = V365581 - 1. assign V038674 = V038192 + 1. assign V904620 = V941221. assign V379939 = V951513 + 1. assign V120369 = V880357 - 1. assign V065833 = V773740 + 1. assign V713961 = V523740 + 1. assign V722585 = V461477 - 1. assign V037675 = V440979 - 1. assign V824093 = V754824. assign V584476 = V869693. assign V179956 = V784288. assign V232653 = V115384. assign V646984 = V053661 + 1. assign V162155 = V344997. assign V367447 = V849571 - 1. assign V869693 = V947520 + 1. assign V698338 = V003570 - 1. assign V784717 = V360388. assign V557170 = V385159 - 1. assign V521506 = V854308. assign V885858 = V854308 + 1. assign V838713 = V400444. assign V438062 = V880357 - 1. assign V176159 = V339948 + 1. assign V347113 = V742981. assign V021406 = V537215 - 1. assign V788252 = V141295. assign V767063 = V152722. assign V567315 = V636823 - 1. assign V182562 = V621647. assign V433652 = V427403. assign V355027 = V523740 + 1. assign V822817 = V331456 - 1. assign V365581 = V349094 - 1. assign V784288 = V590330 + 1. assign V014422 = V969801 + 1. assign V141295 = V237027 - 1. assign V484366 = V006753 - 1. assign V647888 = V854308 - 1. assign V057196 = V934537 - 1. assign V317907 = V317050 - 1. assign V945380 = V003482 + 1. assign V130083 = V433652 + 1. assign V019818 = V621647 + 1. assign V003570 = V596848. assign V027644 = V188225 - 1. assign V704589 = V889140. assign V421138 = V088472 + 1. assign V339948 = V535925. assign V537215 = V213062 - 1. assign V664532 = V703503 - 1. assign V317050 = V400444 - 1. assign V814526 = V636823. assign V226749 = V295225 + 1. assign V421061 = V405157 - 1. assign V038994 = V536153. assign V438286 = V038078 - 1. assign V437410 = V773740. assign V410562 = V053661 + 1. assign V186143 = V590330 - 1. assign V717476 = V584476. assign V536590 = V621647. assign V941221 = V297659 + 1. assign V243116 = V040999. assign V549090 = V561971. assign V863578 = V664795. assign V645387 = V525882. assign V521524 = V031980. assign V617400 = V445071 - 1. assign V606205 = V053661. assign V274265 = V443162. assign V522927 = V331456 - 1. assign V040926 = V331024 - 1. assign V776184 = V786911. assign V109800 = V410562 + 1. assign V962643 = V947925 + 1. assign V991956 = V518127 - 1. assign V754824 = V213062 + 1. assign V943610 = V736636. assign V381168 = V053661 - 1. assign V710389 = V237027 + 1. assign V237027 = V410562 + 1. assign V290961 = V661140 - 1. assign V767934 = V684451 + 1. assign V107609 = V927373 + 1. assign V115384 = V400444 - 1. assign V666311 = V107609 + 1. assign V643920 = V335538 + 1. assign V416233 = V027644 + 1. assign V368196 = V053661 - 1. assign V338861 = V360388 - 1. assign V443162 = V421138. assign V742981 = V555384. assign V696892 = V661140 + 1. assign V374301 = V843249. assign V969801 = V434629 + 1. assign V801180 = V006753 + 1. assign V572486 = V743462 + 1. assign V644344 = V368196 + 1. assign V184972 = V496343. assign V413490 = V227575 - 1. assign V534925 = V008706. assign V951513 = V742981 + 1. assign V671289 = V621647. assign V779943 = V140052 - 1. assign V264277 = V371945 - 1. assign V242815 = V606205. assign V600635 = V012621 - 1. assign V703503 = V868641. assign V038078 = V331456 + 1. assign V160174 = V868641 - 1. assign V814501 = V040926 - 1. assign V335538 = V410562. assign V318361 = V221316. assign V876083 = V522927 - 1. assign V244175 = V335538. assign V954520 = V008706 + 1. assign V164958 = V621647 + 1. assign V862686 = V661140 + 1. assign V054444 = V290961. assign V297659 = V433652 + 1. assign V533068 = V012621 - 1. assign V067865 = V107609 - 1. assign V684451 = V381168. assign V724390 = V787545. assign V038192 = V514827 - 1. assign V031980 = V646984. assign V141969 = V767759. assign V159224 = V232653. assign V583773 = V875373. assign V986492 = V027644 + 1. assign V647617 = V410562. assign V529243 = V290065. assign V721979 = V338861. assign V109647 = V995149 + 1. assign V543332 = V824093. assign V561945 = V400444 + 1. assign V927373 = V869693 - 1. assign V512880 = V445071. assign V301261 = V240312. assign V747034 = V889140 - 1. assign V371945 = V880357 + 1. assign V463742 = V614627 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV360388 = 1;\n\nFrom these direct assignment(s), we have: \nV338861 = V360388 - 1 = 1 - 1 =0;\nV721979 = V338861 = 0;\nNo other varaibles can be derived from V721979;\nV305413 = V338861 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V305413;\nNo other varaibles can be derived from V338861;\nV784717 = V360388 = 1;\nV123323 = V784717 - 1 = 1 - 1 =0;\nV958798 = V123323 - 1 = 0 - 1 =-1;\nV368074 = V958798 - 1 = -1 - 1 =-2;\nNo other varaibles can be derived from V368074;\nNo other varaibles can be derived from V958798;\nNo other varaibles can be derived from V123323;\nNo other varaibles can be derived from V784717;\nV983778 = V360388 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V983778;\nV559989 = V360388 = 1;\nNo other varaibles can be derived from V559989;\nNo other varaibles can be derived from V360388;\n\nNow we have done all the calculations. Derived variables are:\nV360388 = 1;\nV338861 = 0;\nV721979 = 0;\nV305413 = 1;\nV784717 = 1;\nV123323 = 0;\nV958798 = -1;\nV368074 = -2;\nV983778 = 2;\nV559989 = 1;\n\nNow we have finished this problem. ANSWER:\nV338861, V721979, V123323\n", "role": "assistant" } ]

[ "V987244", "V595393", "V137504", "V142153", "V227503", "V161632", "V846019" ]

[ { "content": "<context>\nassign V837473 = V710919. assign V938114 = V065059 + 1. assign V528642 = V669752 + 1. assign V855259 = V447333 - 1. assign V439886 = V541030 - 1. assign V786515 = V447333 - 1. assign V749760 = V299616. assign V946625 = V856797 + 1. assign V728923 = V325264 - 1. assign V430901 = V355465 + 1. assign V489054 = V655428 + 1. assign V089133 = V516928 - 1. assign V242852 = V704339 + 1. assign V916545 = V678139 - 1. assign V909233 = V878952 - 1. assign V307460 = V002566 - 1. assign V797613 = V321860. assign V377870 = V559426 + 1. assign V986688 = V040332 + 1. assign V859557 = V312139 - 1. assign V941489 = V860264. assign V181141 = V246587 + 1. assign V674201 = V031298. assign V281994 = V164553 + 1. assign V551136 = V799253 - 1. assign V826626 = V700876 - 1. assign V907282 = V799253 - 1. assign V719019 = V449247 + 1. assign V778500 = V563840 + 1. assign V379973 = V276796 + 1. assign V526136 = V415282 + 1. assign V900157 = V052707 - 1. assign V616114 = V476183 - 1. assign V268508 = V063827. assign V312139 = V065380 - 1. assign V142153 = V595393. assign V094366 = V375433 - 1. assign V304973 = V618127 + 1. assign V319410 = V268508. assign V673191 = V837473. assign V420683 = V516928 + 1. assign V541030 = V823804 - 1. assign V128133 = V550418 + 1. assign V516181 = V485786. assign V439123 = V694546 + 1. assign V750082 = V318673 - 1. assign V400214 = V377870. assign V801152 = V793114 - 1. assign V716654 = V715465 + 1. assign V357731 = V661824. assign V953027 = V882560 - 1. assign V258964 = V132032. assign V298658 = V668635 + 1. assign V543733 = V439123 - 1. assign V794840 = V420683. assign V976341 = V270847 + 1. assign V075948 = V938114 - 1. assign V261685 = V181301 - 1. assign V516928 = V482583 + 1. assign V631655 = V153269. assign V272430 = V137993 - 1. assign V853676 = V832408 + 1. assign V482362 = V476183 - 1. assign V571261 = V476183. assign V736783 = V498342. assign V379810 = V177956 + 1. assign V692305 = V447333. assign V485786 = V777900. assign V123775 = V295419. assign V700876 = V856797 + 1. assign V066472 = V820075. assign V397777 = V700876. assign V746474 = V645292 - 1. assign V996000 = V298658. assign V283237 = V939665 + 1. assign V695218 = V734637 + 1. assign V122499 = V321860 - 1. assign V479225 = V663915. assign V036598 = V872878 + 1. assign V907805 = V321860 - 1. assign V969714 = V199258. assign V555844 = V820875 - 1. assign V192703 = V065380 - 1. assign V711433 = V618127 - 1. assign V177956 = V353052 - 1. assign V980475 = V030770 + 1. assign V251790 = V645292 + 1. assign V295323 = V618127 + 1. assign V835138 = V700876. assign V374377 = V608670. assign V642042 = V820875 - 1. assign V661379 = V099945 + 1. assign V745578 = V736783. assign V757690 = V079185 + 1. assign V366426 = V353052 - 1. assign V670420 = V655428 - 1. assign V074482 = V794840 + 1. assign V962352 = V250893 - 1. assign V867025 = V246587 - 1. assign V618127 = V482583 + 1. assign V293767 = V041259 + 1. assign V704339 = V319410. assign V787449 = V939092. assign V669752 = V208767 + 1. assign V029104 = V939092 - 1. assign V141270 = V827228. assign V975397 = V377870 + 1. assign V645292 = V063827 + 1. assign V704592 = V618127. assign V733451 = V939092 + 1. assign V804057 = V447333 - 1. assign V624009 = V547808 + 1. assign V607136 = V355465. assign V349320 = V400214 + 1. assign V437956 = V787449 + 1. assign V561202 = V661379 - 1. assign V712518 = V939092 - 1. assign V459993 = V948613 + 1. assign V460850 = V366426 + 1. assign V550418 = V794840 + 1. assign V882560 = V399366 + 1. assign V482583 = V355465 - 1. assign V593183 = V293767 + 1. assign V793114 = V907805 + 1. assign V751524 = V867025 - 1. assign V859446 = V165096 - 1. assign V052707 = V074482 + 1. assign V471803 = V060186 + 1. assign V375433 = V074482. assign V657204 = V058830 + 1. assign V939092 = V482583 - 1. assign V746851 = V239171 + 1. assign V079185 = V239171 + 1. assign V298249 = V058830 + 1. assign V615744 = V357731. assign V012256 = V893559. assign V846019 = V137504. assign V153269 = V583734 - 1. assign V276796 = V711433 - 1. assign V205661 = V415282 + 1. assign V321860 = V712518 - 1. assign V459639 = V074482. assign V415282 = V471803. assign V171573 = V832883. assign V160289 = V786515. assign V635397 = V694546 + 1. assign V227503 = V595393. assign V765440 = V139032. assign V767514 = V002566 + 1. assign V595393 = V987244. assign V576750 = V459639 - 1. assign V157556 = V074482 + 1. assign V853070 = V430901 - 1. assign V069655 = V447333 + 1. assign V268181 = V583734 - 1. assign V449247 = V264078 - 1. assign V563748 = V270847 - 1. assign V713525 = V583734 - 1. assign V940776 = V860264 - 1. assign V440400 = V713773 - 1. assign V767101 = V415282 - 1. assign V644987 = V710068 + 1. assign V571363 = V700876 + 1. assign V624473 = V320595. assign V595654 = V065380. assign V189318 = V633105 - 1. assign V661824 = V670420 - 1. assign V733625 = V299616. assign V799253 = V712518. assign V353052 = V653686 + 1. assign V810629 = V185766. assign V707334 = V552116. assign V537019 = V571363 - 1. assign V888071 = V298249. assign V041259 = V268181. assign V314365 = V607136. assign V065112 = V611451 - 1. assign V678139 = V611451. assign V334069 = V356859 - 1. assign V382617 = V314365 + 1. assign V078538 = V272056 + 1. assign V547808 = V939092. assign V926805 = V123775 + 1. assign V951311 = V691511 - 1. assign V989384 = V304973 + 1. assign V165096 = V794840. assign V060186 = V571261. assign V376116 = V058830. assign V552116 = V452172 - 1. assign V059298 = V040332 - 1. assign V171409 = V669752 + 1. assign V820875 = V633105 + 1. assign V786639 = V058830 - 1. assign V785552 = V860264. assign V724385 = V642042. assign V892475 = 0. assign V391171 = V851178 - 1. assign V399366 = V208767 - 1. assign V058710 = V778500 + 1. assign V447333 = V139032 + 1. assign V432736 = V065380 + 1. assign V823804 = V583734 + 1. assign V299616 = V926776 + 1. assign V710919 = V264078 - 1. assign V801706 = V264078. assign V463502 = V169174 - 1. assign V650610 = V440400 + 1. assign V496840 = V295899. assign V253814 = V276796 + 1. assign V856797 = V583734 + 1. assign V986808 = V563840. assign V132032 = V177956 - 1. assign V065380 = V295899 - 1. assign V601769 = V851178. assign V040332 = V794840 + 1. assign V832408 = V801152 - 1. assign V887222 = V208767. assign V730129 = V551136. assign V762537 = V872878 + 1. assign V321806 = V746474 - 1. assign V948613 = V018802 - 1. assign V832883 = V692305 + 1. assign V982042 = V653686 + 1. assign V086100 = V951994 - 1. assign V161632 = V128775 - 1. assign V715465 = V571261 - 1. assign V906356 = V325264 + 1. assign V827228 = V199258 + 1. assign V002566 = V715465 + 1. assign V977617 = V203981. assign V697569 = V157556 - 1. assign V250893 = V551136 + 1. assign V643458 = V893559. assign V099945 = V583734 + 1. assign V264078 = V799253 - 1. assign V559426 = V611451. assign V058830 = V939092 - 1. assign V208767 = V482583 + 1. assign V633105 = V516928. assign V585256 = V165096. assign V668635 = V014909. assign V078887 = V938114 - 1. assign V872878 = V379810 + 1. assign V030770 = V420683 - 1. assign V088675 = V052707. assign V663915 = V837473 + 1. assign V653686 = V482583. assign V358068 = V895803 + 1. assign V452172 = V192703 + 1. assign V510662 = V855259. assign V083100 = V888071 + 1. assign V710068 = V399366. assign V974066 = V713525. assign V270847 = V653686 + 1. assign V851178 = V519446 - 1. assign V018802 = V437956. assign V536730 = V661824. assign V189419 = V471803. assign V886731 = V872878. assign V713773 = V058830 - 1. assign V763738 = V837473. assign V562272 = V749760 + 1. assign V164553 = V827228. assign V295419 = V678139 + 1. assign V295899 = V571261 - 1. assign V689756 = V123775 - 1. assign V161402 = V258620 - 1. assign V636484 = V366426. assign V691511 = V295419 + 1. assign V065059 = V031298 + 1. assign V608670 = V177956 - 1. assign V583734 = V355465 + 1. assign V782924 = V304973. assign V688405 = V951994 - 1. assign V582170 = V730129 + 1. assign V562047 = V295419. assign V229839 = V482362 - 1. assign V137993 = V674201. assign V978067 = V063827. assign V002439 = V169174 + 1. assign V672828 = V832883 - 1. assign V137504 = V128775 - 1. assign V734637 = V713525. assign V128775 = V892475. assign V875121 = V052707. assign V124688 = V678139 + 1. assign V141958 = V420683 - 1. assign V669329 = V270847. assign V139032 = V583734 + 1. assign V063827 = V700876. assign V678057 = V611451. assign V842236 = V986808. assign V239171 = V787449 + 1. assign V694546 = V031298 + 1. assign V820075 = V692305. assign V169174 = V482583 + 1. assign V534545 = V420683 + 1. assign V014909 = V547808 + 1. assign V203981 = V538493 - 1. assign V199258 = V476183. assign V519957 = V089133. assign V878952 = V270847. assign V048639 = V334069 - 1. assign V325264 = V177956 + 1. assign V893559 = V559426 - 1. assign V082096 = V872878 - 1. assign V935405 = V644987. assign V538493 = V907805 + 1. assign V787503 = V490009 + 1. assign V125908 = V692305 - 1. assign V356859 = V379810 - 1. assign V490009 = V832883 - 1. assign V777900 = V099945. assign V860264 = V065380 + 1. assign V258620 = V014909 + 1. assign V926776 = V355465 - 1. assign V655428 = V318673 - 1. assign V939665 = V325264 + 1. assign V877888 = V490009. assign V181301 = V471803 + 1. assign V246587 = V826626. assign V474109 = V618127 - 1. assign V044732 = V872878 - 1. assign V951994 = V078538 + 1. assign V611451 = V447333. assign V386972 = V645292. assign V563840 = V551136 + 1. assign V476183 = V099945. assign V286620 = V165096. assign V984642 = V694546 - 1. assign V272056 = V031298. assign V318673 = V559426 + 1. assign V612129 = V432736 - 1. assign V987244 = V892475 - 1. assign V664015 = V382617 - 1. assign V320595 = V534545. assign V466828 = V307460. assign V981749 = V559426 - 1. assign V185766 = V036598 + 1. assign V477737 = V476183 - 1. assign V651581 = V799253. assign V498342 = V582170 + 1. assign V895803 = V083100 - 1. assign V350853 = V801152 - 1. assign V007714 = V227503 - 1. assign V886844 = V855259 - 1. assign V031298 = V264078 - 1. assign V290379 = V074482. assign V519446 = V827228 - 1. assign V596659 = V762537 + 1. assign V951025 = V139032 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V837473 = V710919. assign V938114 = V065059 + 1. assign V528642 = V669752 + 1. assign V855259 = V447333 - 1. assign V439886 = V541030 - 1. assign V786515 = V447333 - 1. assign V749760 = V299616. assign V946625 = V856797 + 1. assign V728923 = V325264 - 1. assign V430901 = V355465 + 1. assign V489054 = V655428 + 1. assign V089133 = V516928 - 1. assign V242852 = V704339 + 1. assign V916545 = V678139 - 1. assign V909233 = V878952 - 1. assign V307460 = V002566 - 1. assign V797613 = V321860. assign V377870 = V559426 + 1. assign V986688 = V040332 + 1. assign V859557 = V312139 - 1. assign V941489 = V860264. assign V181141 = V246587 + 1. assign V674201 = V031298. assign V281994 = V164553 + 1. assign V551136 = V799253 - 1. assign V826626 = V700876 - 1. assign V907282 = V799253 - 1. assign V719019 = V449247 + 1. assign V778500 = V563840 + 1. assign V379973 = V276796 + 1. assign V526136 = V415282 + 1. assign V900157 = V052707 - 1. assign V616114 = V476183 - 1. assign V268508 = V063827. assign V312139 = V065380 - 1. assign V142153 = V595393. assign V094366 = V375433 - 1. assign V304973 = V618127 + 1. assign V319410 = V268508. assign V673191 = V837473. assign V420683 = V516928 + 1. assign V541030 = V823804 - 1. assign V128133 = V550418 + 1. assign V516181 = V485786. assign V439123 = V694546 + 1. assign V750082 = V318673 - 1. assign V400214 = V377870. assign V801152 = V793114 - 1. assign V716654 = V715465 + 1. assign V357731 = V661824. assign V953027 = V882560 - 1. assign V258964 = V132032. assign V298658 = V668635 + 1. assign V543733 = V439123 - 1. assign V794840 = V420683. assign V976341 = V270847 + 1. assign V075948 = V938114 - 1. assign V261685 = V181301 - 1. assign V516928 = V482583 + 1. assign V631655 = V153269. assign V272430 = V137993 - 1. assign V853676 = V832408 + 1. assign V482362 = V476183 - 1. assign V571261 = V476183. assign V736783 = V498342. assign V379810 = V177956 + 1. assign V692305 = V447333. assign V485786 = V777900. assign V123775 = V295419. assign V700876 = V856797 + 1. assign V066472 = V820075. assign V397777 = V700876. assign V746474 = V645292 - 1. assign V996000 = V298658. assign V283237 = V939665 + 1. assign V695218 = V734637 + 1. assign V122499 = V321860 - 1. assign V479225 = V663915. assign V036598 = V872878 + 1. assign V907805 = V321860 - 1. assign V969714 = V199258. assign V555844 = V820875 - 1. assign V192703 = V065380 - 1. assign V711433 = V618127 - 1. assign V177956 = V353052 - 1. assign V980475 = V030770 + 1. assign V251790 = V645292 + 1. assign V295323 = V618127 + 1. assign V835138 = V700876. assign V374377 = V608670. assign V642042 = V820875 - 1. assign V661379 = V099945 + 1. assign V745578 = V736783. assign V757690 = V079185 + 1. assign V366426 = V353052 - 1. assign V670420 = V655428 - 1. assign V074482 = V794840 + 1. assign V962352 = V250893 - 1. assign V867025 = V246587 - 1. assign V618127 = V482583 + 1. assign V293767 = V041259 + 1. assign V704339 = V319410. assign V787449 = V939092. assign V669752 = V208767 + 1. assign V029104 = V939092 - 1. assign V141270 = V827228. assign V975397 = V377870 + 1. assign V645292 = V063827 + 1. assign V704592 = V618127. assign V733451 = V939092 + 1. assign V804057 = V447333 - 1. assign V624009 = V547808 + 1. assign V607136 = V355465. assign V349320 = V400214 + 1. assign V437956 = V787449 + 1. assign V561202 = V661379 - 1. assign V712518 = V939092 - 1. assign V459993 = V948613 + 1. assign V460850 = V366426 + 1. assign V550418 = V794840 + 1. assign V882560 = V399366 + 1. assign V482583 = V355465 - 1. assign V593183 = V293767 + 1. assign V793114 = V907805 + 1. assign V751524 = V867025 - 1. assign V859446 = V165096 - 1. assign V052707 = V074482 + 1. assign V471803 = V060186 + 1. assign V375433 = V074482. assign V657204 = V058830 + 1. assign V939092 = V482583 - 1. assign V746851 = V239171 + 1. assign V079185 = V239171 + 1. assign V298249 = V058830 + 1. assign V615744 = V357731. assign V012256 = V893559. assign V846019 = V137504. assign V153269 = V583734 - 1. assign V276796 = V711433 - 1. assign V205661 = V415282 + 1. assign V321860 = V712518 - 1. assign V459639 = V074482. assign V415282 = V471803. assign V171573 = V832883. assign V160289 = V786515. assign V635397 = V694546 + 1. assign V227503 = V595393. assign V765440 = V139032. assign V767514 = V002566 + 1. assign V595393 = V987244. assign V576750 = V459639 - 1. assign V157556 = V074482 + 1. assign V853070 = V430901 - 1. assign V069655 = V447333 + 1. assign V268181 = V583734 - 1. assign V449247 = V264078 - 1. assign V563748 = V270847 - 1. assign V713525 = V583734 - 1. assign V940776 = V860264 - 1. assign V440400 = V713773 - 1. assign V767101 = V415282 - 1. assign V644987 = V710068 + 1. assign V571363 = V700876 + 1. assign V624473 = V320595. assign V595654 = V065380. assign V189318 = V633105 - 1. assign V661824 = V670420 - 1. assign V733625 = V299616. assign V799253 = V712518. assign V353052 = V653686 + 1. assign V810629 = V185766. assign V707334 = V552116. assign V537019 = V571363 - 1. assign V888071 = V298249. assign V041259 = V268181. assign V314365 = V607136. assign V065112 = V611451 - 1. assign V678139 = V611451. assign V334069 = V356859 - 1. assign V382617 = V314365 + 1. assign V078538 = V272056 + 1. assign V547808 = V939092. assign V926805 = V123775 + 1. assign V951311 = V691511 - 1. assign V989384 = V304973 + 1. assign V165096 = V794840. assign V060186 = V571261. assign V376116 = V058830. assign V552116 = V452172 - 1. assign V059298 = V040332 - 1. assign V171409 = V669752 + 1. assign V820875 = V633105 + 1. assign V786639 = V058830 - 1. assign V785552 = V860264. assign V724385 = V642042. assign V892475 = 0. assign V391171 = V851178 - 1. assign V399366 = V208767 - 1. assign V058710 = V778500 + 1. assign V447333 = V139032 + 1. assign V432736 = V065380 + 1. assign V823804 = V583734 + 1. assign V299616 = V926776 + 1. assign V710919 = V264078 - 1. assign V801706 = V264078. assign V463502 = V169174 - 1. assign V650610 = V440400 + 1. assign V496840 = V295899. assign V253814 = V276796 + 1. assign V856797 = V583734 + 1. assign V986808 = V563840. assign V132032 = V177956 - 1. assign V065380 = V295899 - 1. assign V601769 = V851178. assign V040332 = V794840 + 1. assign V832408 = V801152 - 1. assign V887222 = V208767. assign V730129 = V551136. assign V762537 = V872878 + 1. assign V321806 = V746474 - 1. assign V948613 = V018802 - 1. assign V832883 = V692305 + 1. assign V982042 = V653686 + 1. assign V086100 = V951994 - 1. assign V161632 = V128775 - 1. assign V715465 = V571261 - 1. assign V906356 = V325264 + 1. assign V827228 = V199258 + 1. assign V002566 = V715465 + 1. assign V977617 = V203981. assign V697569 = V157556 - 1. assign V250893 = V551136 + 1. assign V643458 = V893559. assign V099945 = V583734 + 1. assign V264078 = V799253 - 1. assign V559426 = V611451. assign V058830 = V939092 - 1. assign V208767 = V482583 + 1. assign V633105 = V516928. assign V585256 = V165096. assign V668635 = V014909. assign V078887 = V938114 - 1. assign V872878 = V379810 + 1. assign V030770 = V420683 - 1. assign V088675 = V052707. assign V663915 = V837473 + 1. assign V653686 = V482583. assign V358068 = V895803 + 1. assign V452172 = V192703 + 1. assign V510662 = V855259. assign V083100 = V888071 + 1. assign V710068 = V399366. assign V974066 = V713525. assign V270847 = V653686 + 1. assign V851178 = V519446 - 1. assign V018802 = V437956. assign V536730 = V661824. assign V189419 = V471803. assign V886731 = V872878. assign V713773 = V058830 - 1. assign V763738 = V837473. assign V562272 = V749760 + 1. assign V164553 = V827228. assign V295419 = V678139 + 1. assign V295899 = V571261 - 1. assign V689756 = V123775 - 1. assign V161402 = V258620 - 1. assign V636484 = V366426. assign V691511 = V295419 + 1. assign V065059 = V031298 + 1. assign V608670 = V177956 - 1. assign V583734 = V355465 + 1. assign V782924 = V304973. assign V688405 = V951994 - 1. assign V582170 = V730129 + 1. assign V562047 = V295419. assign V229839 = V482362 - 1. assign V137993 = V674201. assign V978067 = V063827. assign V002439 = V169174 + 1. assign V672828 = V832883 - 1. assign V137504 = V128775 - 1. assign V734637 = V713525. assign V128775 = V892475. assign V875121 = V052707. assign V124688 = V678139 + 1. assign V141958 = V420683 - 1. assign V669329 = V270847. assign V139032 = V583734 + 1. assign V063827 = V700876. assign V678057 = V611451. assign V842236 = V986808. assign V239171 = V787449 + 1. assign V694546 = V031298 + 1. assign V820075 = V692305. assign V169174 = V482583 + 1. assign V534545 = V420683 + 1. assign V014909 = V547808 + 1. assign V203981 = V538493 - 1. assign V199258 = V476183. assign V519957 = V089133. assign V878952 = V270847. assign V048639 = V334069 - 1. assign V325264 = V177956 + 1. assign V893559 = V559426 - 1. assign V082096 = V872878 - 1. assign V935405 = V644987. assign V538493 = V907805 + 1. assign V787503 = V490009 + 1. assign V125908 = V692305 - 1. assign V356859 = V379810 - 1. assign V490009 = V832883 - 1. assign V777900 = V099945. assign V860264 = V065380 + 1. assign V258620 = V014909 + 1. assign V926776 = V355465 - 1. assign V655428 = V318673 - 1. assign V939665 = V325264 + 1. assign V877888 = V490009. assign V181301 = V471803 + 1. assign V246587 = V826626. assign V474109 = V618127 - 1. assign V044732 = V872878 - 1. assign V951994 = V078538 + 1. assign V611451 = V447333. assign V386972 = V645292. assign V563840 = V551136 + 1. assign V476183 = V099945. assign V286620 = V165096. assign V984642 = V694546 - 1. assign V272056 = V031298. assign V318673 = V559426 + 1. assign V612129 = V432736 - 1. assign V987244 = V892475 - 1. assign V664015 = V382617 - 1. assign V320595 = V534545. assign V466828 = V307460. assign V981749 = V559426 - 1. assign V185766 = V036598 + 1. assign V477737 = V476183 - 1. assign V651581 = V799253. assign V498342 = V582170 + 1. assign V895803 = V083100 - 1. assign V350853 = V801152 - 1. assign V007714 = V227503 - 1. assign V886844 = V855259 - 1. assign V031298 = V264078 - 1. assign V290379 = V074482. assign V519446 = V827228 - 1. assign V596659 = V762537 + 1. assign V951025 = V139032 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV892475 = 0;\n\nFrom these direct assignment(s), we have: \nV987244 = V892475 - 1 = 0 - 1 =-1;\nV595393 = V987244 = -1;\nV227503 = V595393 = -1;\nV007714 = V227503 - 1 = -1 - 1 =-2;\nNo other varaibles can be derived from V007714;\nNo other varaibles can be derived from V227503;\nV142153 = V595393 = -1;\nNo other varaibles can be derived from V142153;\nNo other varaibles can be derived from V595393;\nNo other varaibles can be derived from V987244;\nV128775 = V892475 = 0;\nV137504 = V128775 - 1 = 0 - 1 =-1;\nV846019 = V137504 = -1;\nNo other varaibles can be derived from V846019;\nNo other varaibles can be derived from V137504;\nV161632 = V128775 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V161632;\nNo other varaibles can be derived from V128775;\nNo other varaibles can be derived from V892475;\n\nNow we have done all the calculations. Derived variables are:\nV892475 = 0;\nV987244 = -1;\nV595393 = -1;\nV227503 = -1;\nV007714 = -2;\nV142153 = -1;\nV128775 = 0;\nV137504 = -1;\nV846019 = -1;\nV161632 = -1;\n\nNow we have finished this problem. ANSWER:\nV987244, V595393, V227503, V142153, V137504, V846019, V161632\n", "role": "assistant" } ]

[ "V327408", "V885608", "V285110" ]

[ { "content": "<context>\nassign V370850 = V389922 + 1. assign V380156 = V751801 - 1. assign V677637 = V884028 + 1. assign V194320 = V292777. assign V624565 = V838083 - 1. assign V460139 = V291279 + 1. assign V148527 = V251318 - 1. assign V202485 = V499923 - 1. assign V002383 = V138563. assign V394016 = V085357 - 1. assign V048052 = V769955 - 1. assign V338003 = V984713. assign V977091 = V665705 - 1. assign V934187 = V333463. assign V920948 = V630518. assign V138563 = V954104 - 1. assign V614840 = V220359. assign V643672 = V571000 - 1. assign V519164 = V956434. assign V766369 = V751801 + 1. assign V077910 = V292777. assign V518946 = V613337 + 1. assign V012647 = V553288 + 1. assign V660213 = V464890 - 1. assign V090737 = V251318. assign V984713 = V754330 + 1. assign V468450 = V956434 + 1. assign V215347 = V437674 - 1. assign V005656 = V597503 + 1. assign V300844 = V694324 + 1. assign V044276 = V468450 + 1. assign V396048 = V255151. assign V981261 = V836282 + 1. assign V318471 = V727017. assign V170654 = V148527 - 1. assign V406742 = V654111 - 1. assign V151615 = V482294 - 1. assign V939855 = V916441 + 1. assign V465113 = V023074 - 1. assign V482441 = V783323 + 1. assign V916990 = V128292 + 1. assign V811652 = V571000. assign V548581 = V138563 - 1. assign V498361 = V838083 - 1. assign V340505 = V012647 - 1. assign V518728 = V633125. assign V461427 = V814636 + 1. assign V860000 = V787987 + 1. assign V634496 = V431550. assign V751114 = V334479 + 1. assign V017200 = V209419 + 1. assign V389922 = V527603. assign V563577 = V956434 - 1. assign V528354 = V548581. assign V735768 = V554987 + 1. assign V063849 = V890230 + 1. assign V475425 = V951815. assign V971412 = V696063 - 1. assign V956434 = V023074 - 1. assign V577481 = V023074 + 1. assign V470762 = V007913. assign V780208 = V696063 + 1. assign V689335 = V474909. assign V073939 = V977091 - 1. assign V807179 = V233904 - 1. assign V448713 = V194155 + 1. assign V031650 = V971412 + 1. assign V658042 = V783323. assign V024701 = V774063 - 1. assign V586334 = V431550. assign V374080 = V751801. assign V116951 = V581478. assign V067355 = V696063 + 1. assign V000270 = V827039 + 1. assign V838083 = V692971 - 1. assign V523871 = V490658 + 1. assign V963976 = V294153. assign V597503 = V977091 - 1. assign V727017 = V527603. assign V972645 = V023074 + 1. assign V510328 = V864226. assign V839144 = V202485. assign V627746 = V044276. assign V788058 = V464890. assign V549976 = V292777 - 1. assign V856497 = V727017 + 1. assign V814821 = V696085 + 1. assign V268818 = V827039. assign V085357 = V884028 + 1. assign V233904 = V783323 + 1. assign V848702 = V038516 + 1. assign V807859 = V930634 + 1. assign V564568 = V527603 + 1. assign V748444 = V916441. assign V083627 = V788058 + 1. assign V696965 = V579782 + 1. assign V571000 = V063849 - 1. assign V280433 = V264803 + 1. assign V998950 = V563577. assign V252299 = V273034 - 1. assign V251318 = V407279. assign V695137 = V625364 + 1. assign V291279 = V482441 + 1. assign V753530 = V460139 + 1. assign V779987 = V548581. assign V163495 = V447374 + 1. assign V581478 = V012647 - 1. assign V648421 = V696063 + 1. assign V140111 = V482441 + 1. assign V190165 = V554987. assign V924794 = V431550 - 1. assign V044139 = V202360. assign V864226 = V577481 - 1. assign V921177 = V787987 + 1. assign V974008 = V482441 - 1. assign V538754 = V000270 - 1. assign V633125 = V251318. assign V355363 = V597503 + 1. assign V255151 = V783323 - 1. assign V122971 = V477359. assign V450627 = V562168 - 1. assign V068226 = V380156. assign V196992 = V756176 - 1. assign V285110 = V627321 - 1. assign V627321 = V327408 + 1. assign V022815 = V199111 + 1. assign V009097 = V389922. assign V665705 = V380443 - 1. assign V783323 = V553288 - 1. assign V431550 = V499923. assign V916441 = V753530 - 1. assign V333463 = V687309. assign V811567 = V085357 + 1. assign V895028 = V974008. assign V898342 = V724596 - 1. assign V787987 = V083627 - 1. assign V005951 = V538754 - 1. assign V985699 = V355363 - 1. assign V847624 = V000270. assign V199111 = V499923 - 1. assign V977877 = V984713 - 1. assign V989098 = V355363 - 1. assign V431705 = V294153. assign V696063 = V963976. assign V429199 = V212430. assign V621785 = V826939. assign V441143 = V554987. assign V930634 = V898342 + 1. assign V038516 = V499923. assign V499923 = V553288. assign V004049 = V338003. assign V229415 = V928018 - 1. assign V833628 = V549976. assign V392285 = V380443. assign V216024 = V377607. assign V511461 = V769955 - 1. assign V101868 = V179137 - 1. assign V474169 = V783323 + 1. assign V839129 = V327408 + 1. assign V482294 = V526492. assign V468977 = V007913 - 1. assign V916521 = V128292 + 1. assign V750155 = V789989 - 1. assign V004301 = V963976 - 1. assign V811288 = V190165 - 1. assign V924444 = V519164 - 1. assign V340371 = V268818. assign V372490 = V510328 - 1. assign V814636 = V140111 + 1. assign V787817 = V450627 + 1. assign V526587 = V592015 - 1. assign V795320 = V775497. assign V545006 = V783323 + 1. assign V865817 = V753530 - 1. assign V859024 = V338928 - 1. assign V907594 = V498361 - 1. assign V131170 = V981764 + 1. assign V713901 = V627321 + 1. assign V039702 = V724596 + 1. assign V729669 = V654111 - 1. assign V032023 = V510328 - 1. assign V674978 = V213975 - 1. assign V626200 = V199111 - 1. assign V881095 = V389922 + 1. assign V981764 = V654111 + 1. assign V298571 = V982413 + 1. assign V836282 = V577481 + 1. assign V527603 = V499923 - 1. assign V982413 = V460139. assign V793601 = V213975 - 1. assign V338928 = V563577. assign V776315 = V549976 + 1. assign V883321 = V633125 - 1. assign V654111 = V437674. assign V754330 = V023074 - 1. assign V878267 = V248707 + 1. assign V414698 = V971412 - 1. assign V562168 = V273034 + 1. assign V334471 = V694324. assign V128292 = V965521 - 1. assign V407279 = V751801. assign V010166 = V338928. assign V839778 = V527603 + 1. assign V335958 = V165778. assign V692971 = V563577 - 1. assign V928018 = V987986 - 1. assign V069448 = V648421 - 1. assign V380443 = V789989 + 1. assign V192217 = V864226 - 1. assign V859935 = V429199 - 1. assign V023074 = V727017. assign V302274 = V577481 + 1. assign V490658 = V724596. assign V774063 = V974008. assign V805332 = V694324 - 1. assign V377607 = V963976 + 1. assign V437674 = V264803. assign V209419 = V437674 - 1. assign V166519 = V965521 - 1. assign V509594 = V774063 - 1. assign V721296 = V251318. assign V136590 = V811288 - 1. assign V177066 = V753530 - 1. assign V179137 = V255151. assign V826939 = V885608 + 1. assign V368591 = V651268. assign V403551 = V384038. assign V474909 = V025061 + 1. assign V346444 = V213975 - 1. assign V592015 = V856497. assign V775497 = V838083. assign V461695 = V538754. assign V248707 = V273034 + 1. assign V064903 = V085357 - 1. assign V884028 = V431550 + 1. assign V782328 = V750155. assign V371094 = V255151 - 1. assign V212430 = V965521 + 1. assign V213975 = V956434 + 1. assign V025061 = V389922. assign V202360 = V753530 - 1. assign V346131 = V510328 + 1. assign V511587 = V389922. assign V564113 = V779987 - 1. assign V956446 = V318471. assign V789989 = V856497 + 1. assign V657435 = V754330 - 1. assign V477359 = V414698 - 1. assign V925183 = V660213 + 1. assign V660961 = V437674 + 1. assign V020045 = V499923 - 1. assign V775088 = V044276. assign V651268 = V190165 + 1. assign V384038 = V775497 + 1. assign V273034 = V554987. assign V954104 = V482441 - 1. assign V894856 = V179137 + 1. assign V069232 = V939855. assign V694324 = V856497 + 1. assign V045132 = V633369. assign V297938 = V392285 + 1. assign V756176 = V526492 - 1. assign V213784 = V048052. assign V165778 = V460139. assign V649492 = V916521 + 1. assign V220359 = V069232 - 1. assign V464890 = V694324 + 1. assign V951815 = V273034. assign V390767 = V563577 + 1. assign V349067 = V884028 + 1. assign V480646 = V255151 + 1. assign V301862 = V335958. assign V287250 = V642798 - 1. assign V445691 = V140111 - 1. assign V724596 = V954104 - 1. assign V579782 = V674978 + 1. assign V613337 = V597503 - 1. assign V007913 = V165778. assign V987986 = V063849 + 1. assign V526492 = V389922 - 1. assign V690610 = V597503 + 1. assign V194155 = V753530 - 1. assign V947796 = V177066 + 1. assign V508958 = V769955 + 1. assign V710837 = V753530. assign V405338 = V940071 + 1. assign V722620 = V073939 + 1. assign V498723 = V727017 - 1. assign V785565 = V318471. assign V289997 = V630518. assign V611088 = V448713 + 1. assign V447374 = V468450 - 1. assign V285923 = V987986. assign V294153 = V255151 + 1. assign V625364 = V292777 - 1. assign V774961 = V202485 + 1. assign V965521 = V956434 + 1. assign V474547 = V654111 - 1. assign V820876 = V965521 - 1. assign V885608 = V327408. assign V099788 = V633369 + 1. assign V451103 = V625364. assign V751801 = V023074 - 1. assign V185482 = V613337. assign V292777 = V038516 - 1. assign V738603 = V795320 - 1. assign V676191 = V140111 + 1. assign V169833 = V136129 - 1. assign V896495 = V689335 + 1. assign V312828 = V625364 - 1. assign V554345 = V896495 + 1. assign V021578 = V839129 + 1. assign V147911 = V753530 + 1. assign V679252 = V380443 + 1. assign V867564 = V441143 - 1. assign V697936 = V833628 + 1. assign V645160 = V833628 + 1. assign V554987 = V255151 - 1. assign V327408 = 6. assign V892236 = V554987 + 1. assign V067450 = V233904 - 1. assign V696085 = V838083. assign V593276 = V981764 - 1. assign V264803 = V727017 - 1. assign V123114 = V916441 + 1. assign V200572 = V811652 + 1. assign V827039 = V123114. assign V010263 = V630518. assign V630518 = V775497. assign V769955 = V460139 - 1. assign V247977 = V389922. assign V266375 = V789989. assign V203274 = V273034. assign V581958 = V010166 - 1. assign V687309 = V480646 - 1. assign V863706 = V255151 + 1. assign V986106 = V563577 + 1. assign V633369 = V519164 + 1. assign V010345 = V885608 + 1. assign V167164 = V554987 + 1. assign V457003 = V774063 - 1. assign V504835 = V482441 + 1. assign V642798 = V128292 - 1. assign V590288 = V859935. assign V940071 = V657435 + 1. assign V680562 = V464890 - 1. assign V136129 = V022815 + 1. assign V890230 = V429199. assign V654026 = V687309. assign V397378 = V679252 - 1. assign V334479 = V654111.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V370850 = V389922 + 1. assign V380156 = V751801 - 1. assign V677637 = V884028 + 1. assign V194320 = V292777. assign V624565 = V838083 - 1. assign V460139 = V291279 + 1. assign V148527 = V251318 - 1. assign V202485 = V499923 - 1. assign V002383 = V138563. assign V394016 = V085357 - 1. assign V048052 = V769955 - 1. assign V338003 = V984713. assign V977091 = V665705 - 1. assign V934187 = V333463. assign V920948 = V630518. assign V138563 = V954104 - 1. assign V614840 = V220359. assign V643672 = V571000 - 1. assign V519164 = V956434. assign V766369 = V751801 + 1. assign V077910 = V292777. assign V518946 = V613337 + 1. assign V012647 = V553288 + 1. assign V660213 = V464890 - 1. assign V090737 = V251318. assign V984713 = V754330 + 1. assign V468450 = V956434 + 1. assign V215347 = V437674 - 1. assign V005656 = V597503 + 1. assign V300844 = V694324 + 1. assign V044276 = V468450 + 1. assign V396048 = V255151. assign V981261 = V836282 + 1. assign V318471 = V727017. assign V170654 = V148527 - 1. assign V406742 = V654111 - 1. assign V151615 = V482294 - 1. assign V939855 = V916441 + 1. assign V465113 = V023074 - 1. assign V482441 = V783323 + 1. assign V916990 = V128292 + 1. assign V811652 = V571000. assign V548581 = V138563 - 1. assign V498361 = V838083 - 1. assign V340505 = V012647 - 1. assign V518728 = V633125. assign V461427 = V814636 + 1. assign V860000 = V787987 + 1. assign V634496 = V431550. assign V751114 = V334479 + 1. assign V017200 = V209419 + 1. assign V389922 = V527603. assign V563577 = V956434 - 1. assign V528354 = V548581. assign V735768 = V554987 + 1. assign V063849 = V890230 + 1. assign V475425 = V951815. assign V971412 = V696063 - 1. assign V956434 = V023074 - 1. assign V577481 = V023074 + 1. assign V470762 = V007913. assign V780208 = V696063 + 1. assign V689335 = V474909. assign V073939 = V977091 - 1. assign V807179 = V233904 - 1. assign V448713 = V194155 + 1. assign V031650 = V971412 + 1. assign V658042 = V783323. assign V024701 = V774063 - 1. assign V586334 = V431550. assign V374080 = V751801. assign V116951 = V581478. assign V067355 = V696063 + 1. assign V000270 = V827039 + 1. assign V838083 = V692971 - 1. assign V523871 = V490658 + 1. assign V963976 = V294153. assign V597503 = V977091 - 1. assign V727017 = V527603. assign V972645 = V023074 + 1. assign V510328 = V864226. assign V839144 = V202485. assign V627746 = V044276. assign V788058 = V464890. assign V549976 = V292777 - 1. assign V856497 = V727017 + 1. assign V814821 = V696085 + 1. assign V268818 = V827039. assign V085357 = V884028 + 1. assign V233904 = V783323 + 1. assign V848702 = V038516 + 1. assign V807859 = V930634 + 1. assign V564568 = V527603 + 1. assign V748444 = V916441. assign V083627 = V788058 + 1. assign V696965 = V579782 + 1. assign V571000 = V063849 - 1. assign V280433 = V264803 + 1. assign V998950 = V563577. assign V252299 = V273034 - 1. assign V251318 = V407279. assign V695137 = V625364 + 1. assign V291279 = V482441 + 1. assign V753530 = V460139 + 1. assign V779987 = V548581. assign V163495 = V447374 + 1. assign V581478 = V012647 - 1. assign V648421 = V696063 + 1. assign V140111 = V482441 + 1. assign V190165 = V554987. assign V924794 = V431550 - 1. assign V044139 = V202360. assign V864226 = V577481 - 1. assign V921177 = V787987 + 1. assign V974008 = V482441 - 1. assign V538754 = V000270 - 1. assign V633125 = V251318. assign V355363 = V597503 + 1. assign V255151 = V783323 - 1. assign V122971 = V477359. assign V450627 = V562168 - 1. assign V068226 = V380156. assign V196992 = V756176 - 1. assign V285110 = V627321 - 1. assign V627321 = V327408 + 1. assign V022815 = V199111 + 1. assign V009097 = V389922. assign V665705 = V380443 - 1. assign V783323 = V553288 - 1. assign V431550 = V499923. assign V916441 = V753530 - 1. assign V333463 = V687309. assign V811567 = V085357 + 1. assign V895028 = V974008. assign V898342 = V724596 - 1. assign V787987 = V083627 - 1. assign V005951 = V538754 - 1. assign V985699 = V355363 - 1. assign V847624 = V000270. assign V199111 = V499923 - 1. assign V977877 = V984713 - 1. assign V989098 = V355363 - 1. assign V431705 = V294153. assign V696063 = V963976. assign V429199 = V212430. assign V621785 = V826939. assign V441143 = V554987. assign V930634 = V898342 + 1. assign V038516 = V499923. assign V499923 = V553288. assign V004049 = V338003. assign V229415 = V928018 - 1. assign V833628 = V549976. assign V392285 = V380443. assign V216024 = V377607. assign V511461 = V769955 - 1. assign V101868 = V179137 - 1. assign V474169 = V783323 + 1. assign V839129 = V327408 + 1. assign V482294 = V526492. assign V468977 = V007913 - 1. assign V916521 = V128292 + 1. assign V750155 = V789989 - 1. assign V004301 = V963976 - 1. assign V811288 = V190165 - 1. assign V924444 = V519164 - 1. assign V340371 = V268818. assign V372490 = V510328 - 1. assign V814636 = V140111 + 1. assign V787817 = V450627 + 1. assign V526587 = V592015 - 1. assign V795320 = V775497. assign V545006 = V783323 + 1. assign V865817 = V753530 - 1. assign V859024 = V338928 - 1. assign V907594 = V498361 - 1. assign V131170 = V981764 + 1. assign V713901 = V627321 + 1. assign V039702 = V724596 + 1. assign V729669 = V654111 - 1. assign V032023 = V510328 - 1. assign V674978 = V213975 - 1. assign V626200 = V199111 - 1. assign V881095 = V389922 + 1. assign V981764 = V654111 + 1. assign V298571 = V982413 + 1. assign V836282 = V577481 + 1. assign V527603 = V499923 - 1. assign V982413 = V460139. assign V793601 = V213975 - 1. assign V338928 = V563577. assign V776315 = V549976 + 1. assign V883321 = V633125 - 1. assign V654111 = V437674. assign V754330 = V023074 - 1. assign V878267 = V248707 + 1. assign V414698 = V971412 - 1. assign V562168 = V273034 + 1. assign V334471 = V694324. assign V128292 = V965521 - 1. assign V407279 = V751801. assign V010166 = V338928. assign V839778 = V527603 + 1. assign V335958 = V165778. assign V692971 = V563577 - 1. assign V928018 = V987986 - 1. assign V069448 = V648421 - 1. assign V380443 = V789989 + 1. assign V192217 = V864226 - 1. assign V859935 = V429199 - 1. assign V023074 = V727017. assign V302274 = V577481 + 1. assign V490658 = V724596. assign V774063 = V974008. assign V805332 = V694324 - 1. assign V377607 = V963976 + 1. assign V437674 = V264803. assign V209419 = V437674 - 1. assign V166519 = V965521 - 1. assign V509594 = V774063 - 1. assign V721296 = V251318. assign V136590 = V811288 - 1. assign V177066 = V753530 - 1. assign V179137 = V255151. assign V826939 = V885608 + 1. assign V368591 = V651268. assign V403551 = V384038. assign V474909 = V025061 + 1. assign V346444 = V213975 - 1. assign V592015 = V856497. assign V775497 = V838083. assign V461695 = V538754. assign V248707 = V273034 + 1. assign V064903 = V085357 - 1. assign V884028 = V431550 + 1. assign V782328 = V750155. assign V371094 = V255151 - 1. assign V212430 = V965521 + 1. assign V213975 = V956434 + 1. assign V025061 = V389922. assign V202360 = V753530 - 1. assign V346131 = V510328 + 1. assign V511587 = V389922. assign V564113 = V779987 - 1. assign V956446 = V318471. assign V789989 = V856497 + 1. assign V657435 = V754330 - 1. assign V477359 = V414698 - 1. assign V925183 = V660213 + 1. assign V660961 = V437674 + 1. assign V020045 = V499923 - 1. assign V775088 = V044276. assign V651268 = V190165 + 1. assign V384038 = V775497 + 1. assign V273034 = V554987. assign V954104 = V482441 - 1. assign V894856 = V179137 + 1. assign V069232 = V939855. assign V694324 = V856497 + 1. assign V045132 = V633369. assign V297938 = V392285 + 1. assign V756176 = V526492 - 1. assign V213784 = V048052. assign V165778 = V460139. assign V649492 = V916521 + 1. assign V220359 = V069232 - 1. assign V464890 = V694324 + 1. assign V951815 = V273034. assign V390767 = V563577 + 1. assign V349067 = V884028 + 1. assign V480646 = V255151 + 1. assign V301862 = V335958. assign V287250 = V642798 - 1. assign V445691 = V140111 - 1. assign V724596 = V954104 - 1. assign V579782 = V674978 + 1. assign V613337 = V597503 - 1. assign V007913 = V165778. assign V987986 = V063849 + 1. assign V526492 = V389922 - 1. assign V690610 = V597503 + 1. assign V194155 = V753530 - 1. assign V947796 = V177066 + 1. assign V508958 = V769955 + 1. assign V710837 = V753530. assign V405338 = V940071 + 1. assign V722620 = V073939 + 1. assign V498723 = V727017 - 1. assign V785565 = V318471. assign V289997 = V630518. assign V611088 = V448713 + 1. assign V447374 = V468450 - 1. assign V285923 = V987986. assign V294153 = V255151 + 1. assign V625364 = V292777 - 1. assign V774961 = V202485 + 1. assign V965521 = V956434 + 1. assign V474547 = V654111 - 1. assign V820876 = V965521 - 1. assign V885608 = V327408. assign V099788 = V633369 + 1. assign V451103 = V625364. assign V751801 = V023074 - 1. assign V185482 = V613337. assign V292777 = V038516 - 1. assign V738603 = V795320 - 1. assign V676191 = V140111 + 1. assign V169833 = V136129 - 1. assign V896495 = V689335 + 1. assign V312828 = V625364 - 1. assign V554345 = V896495 + 1. assign V021578 = V839129 + 1. assign V147911 = V753530 + 1. assign V679252 = V380443 + 1. assign V867564 = V441143 - 1. assign V697936 = V833628 + 1. assign V645160 = V833628 + 1. assign V554987 = V255151 - 1. assign V327408 = 6. assign V892236 = V554987 + 1. assign V067450 = V233904 - 1. assign V696085 = V838083. assign V593276 = V981764 - 1. assign V264803 = V727017 - 1. assign V123114 = V916441 + 1. assign V200572 = V811652 + 1. assign V827039 = V123114. assign V010263 = V630518. assign V630518 = V775497. assign V769955 = V460139 - 1. assign V247977 = V389922. assign V266375 = V789989. assign V203274 = V273034. assign V581958 = V010166 - 1. assign V687309 = V480646 - 1. assign V863706 = V255151 + 1. assign V986106 = V563577 + 1. assign V633369 = V519164 + 1. assign V010345 = V885608 + 1. assign V167164 = V554987 + 1. assign V457003 = V774063 - 1. assign V504835 = V482441 + 1. assign V642798 = V128292 - 1. assign V590288 = V859935. assign V940071 = V657435 + 1. assign V680562 = V464890 - 1. assign V136129 = V022815 + 1. assign V890230 = V429199. assign V654026 = V687309. assign V397378 = V679252 - 1. assign V334479 = V654111.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV327408 = 6;\n\nFrom these direct assignment(s), we have: \nV885608 = V327408 = 6;\nV010345 = V885608 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V010345;\nV826939 = V885608 + 1 = 6 + 1 =7;\nV621785 = V826939 = 7;\nNo other varaibles can be derived from V621785;\nNo other varaibles can be derived from V826939;\nNo other varaibles can be derived from V885608;\nV839129 = V327408 + 1 = 6 + 1 =7;\nV021578 = V839129 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V021578;\nNo other varaibles can be derived from V839129;\nV627321 = V327408 + 1 = 6 + 1 =7;\nV713901 = V627321 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V713901;\nV285110 = V627321 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V285110;\nNo other varaibles can be derived from V627321;\nNo other varaibles can be derived from V327408;\n\nNow we have done all the calculations. Derived variables are:\nV327408 = 6;\nV885608 = 6;\nV010345 = 7;\nV826939 = 7;\nV621785 = 7;\nV839129 = 7;\nV021578 = 8;\nV627321 = 7;\nV713901 = 8;\nV285110 = 6;\n\nNow we have finished this problem. ANSWER:\nV327408, V885608, V285110\n", "role": "assistant" } ]

[ "V405775", "V165070" ]

[ { "content": "<context>\nassign V557566 = V676690. assign V589070 = V213621 - 1. assign V665700 = V279927. assign V113564 = V981950 + 1. assign V765839 = V699976 + 1. assign V840401 = V133197 + 1. assign V940407 = V895437 + 1. assign V876726 = V828351 - 1. assign V957256 = V294976 + 1. assign V392080 = V894901. assign V311937 = V764014 - 1. assign V213621 = V371701. assign V901714 = V253153. assign V405775 = V254998 - 1. assign V371701 = V239415. assign V589661 = V217591 + 1. assign V646671 = V472884 + 1. assign V662921 = V260122 - 1. assign V099450 = V251975 + 1. assign V001010 = V962465 + 1. assign V073720 = V674883 + 1. assign V380274 = V189904. assign V920038 = V001010 + 1. assign V611461 = V279927 + 1. assign V573255 = V777401. assign V983370 = V974667. assign V676690 = V504921 + 1. assign V836031 = V706492 - 1. assign V005381 = V589661. assign V831980 = V130425. assign V414468 = V764014. assign V830860 = V808623. assign V181185 = V962465 + 1. assign V870295 = V060352. assign V189904 = V632265 - 1. assign V909393 = V706492 + 1. assign V254998 = 0. assign V427840 = V775679 + 1. assign V867111 = V359492. assign V349166 = V182654 - 1. assign V828351 = V583572 + 1. assign V448220 = V450935 + 1. assign V433616 = V254998 + 1. assign V040695 = V993789 - 1. assign V909863 = V996107 - 1. assign V764014 = V450935 + 1. assign V379529 = V076318 - 1. assign V940415 = V917735 - 1. assign V699976 = V484390. assign V452240 = V920024 - 1. assign V651936 = V239415 - 1. assign V790929 = V092158 - 1. assign V379583 = V417488 - 1. assign V639417 = V366615. assign V448210 = V955134. assign V734860 = V349166 + 1. assign V525894 = V562406 + 1. assign V805053 = V733550 + 1. assign V894901 = V174611 - 1. assign V402722 = V423496. assign V985883 = V877202 - 1. assign V687077 = V791578 + 1. assign V292747 = V917735 - 1. assign V562406 = V632265 + 1. assign V926396 = V001010. assign V794520 = V510043. assign V645320 = V763612 + 1. assign V396699 = V996507 + 1. assign V056229 = V971976 - 1. assign V972334 = V396699 - 1. assign V610125 = V450935. assign V367672 = V010270 + 1. assign V253679 = V020601 + 1. assign V419014 = V832880 + 1. assign V510043 = V876726 - 1. assign V996507 = V575260 + 1. assign V987070 = V182137 - 1. assign V642225 = V996507 - 1. assign V605933 = V391783 - 1. assign V606885 = V812635. assign V767681 = V676516. assign V155757 = V764014. assign V210973 = V434011 + 1. assign V051239 = V832880 - 1. assign V996107 = V625191 + 1. assign V874810 = V504921. assign V359492 = V917735 - 1. assign V124689 = V213621 + 1. assign V962465 = V561515 - 1. assign V323560 = V573255 + 1. assign V545652 = V133095 - 1. assign V133197 = V396699 - 1. assign V404433 = V133197 - 1. assign V808623 = V139551. assign V011356 = V450935 + 1. assign V493460 = V519005 + 1. assign V570798 = V060352 - 1. assign V703366 = V429335. assign V514425 = V283896 + 1. assign V186441 = V260122. assign V395186 = V009255 + 1. assign V113034 = V366615 + 1. assign V172861 = V480461 - 1. assign V715270 = V589661 - 1. assign V880748 = V396699 - 1. assign V615905 = V187923 + 1. assign V825173 = V371701 - 1. assign V165070 = V904144 - 1. assign V788116 = V311937 - 1. assign V289477 = V505420 - 1. assign V750700 = V472884 + 1. assign V294976 = V561515. assign V182137 = V832880 - 1. assign V711110 = V645320. assign V770920 = V748187 - 1. assign V827323 = V940407. assign V422871 = V920886. assign V733550 = V625191 - 1. assign V137576 = V561515 + 1. assign V683748 = V589070. assign V014366 = V841731. assign V623268 = V955134 + 1. assign V971976 = V254998 + 1. assign V105496 = V791578 - 1. assign V777401 = V099450. assign V919835 = V452240. assign V789221 = V825095. assign V570311 = V844638. assign V034924 = V135359. assign V139551 = V217591 + 1. assign V579096 = V674883 - 1. assign V904144 = V617127. assign V970931 = V789221 + 1. assign V423127 = V849587. assign V423496 = V562406 + 1. assign V009255 = V789022 - 1. assign V685216 = V480461 - 1. assign V133095 = V844638. assign V239415 = V575260 + 1. assign V217591 = V239415. assign V666570 = V972334 + 1. assign V358497 = V011356 + 1. assign V197466 = V113034 + 1. assign V052428 = V177874. assign V748308 = V733550. assign V154629 = V733550. assign V517940 = V534926. assign V601667 = V733550. assign V060352 = V789221 + 1. assign V474523 = V996107. assign V541369 = V020601. assign V680735 = V424649. assign V139905 = V390719 - 1. assign V768702 = V825173. assign V955134 = V699976. assign V572897 = V701958 - 1. assign V020601 = V560618. assign V632265 = V396699. assign V818649 = V632265 + 1. assign V895437 = V371701 + 1. assign V259382 = V371701 - 1. assign V421427 = V541369 - 1. assign V108244 = V748778. assign V183887 = V137629 + 1. assign V581086 = V831980. assign V071484 = V402722 + 1. assign V717181 = V477143 + 1. assign V888452 = V895437 - 1. assign V307901 = V765839. assign V789356 = V972334. assign V466374 = V924023. assign V652801 = V396699 + 1. assign V910105 = V186441 - 1. assign V534926 = V996107 + 1. assign V701958 = V545906 - 1. assign V597964 = V611461 - 1. assign V775679 = V450935 - 1. assign V660561 = V877202 + 1. assign V918205 = V189904. assign V569337 = V154629 - 1. assign V472884 = V996107 + 1. assign V190187 = V788116 - 1. assign V373858 = V625191. assign V891393 = V010270 - 1. assign V625191 = V283896 - 1. assign V742021 = V812635 - 1. assign V082815 = V294976. assign V521442 = V940415 - 1. assign V438795 = V777401 - 1. assign V971405 = V396699. assign V412090 = V020601. assign V380375 = V962465. assign V560618 = V396699 + 1. assign V759697 = V010270 - 1. assign V113704 = V182654. assign V096304 = V808623 - 1. assign V081944 = V427889 - 1. assign V009251 = V525894. assign V711734 = V091584 - 1. assign V429335 = V010270. assign V266382 = V423496. assign V920886 = V421427 - 1. assign V832880 = V396699. assign V391783 = V562406 - 1. assign V271899 = V575260 + 1. assign V172908 = V427840 - 1. assign V508023 = V239415. assign V133265 = V405775 + 1. assign V356238 = V079479. assign V891859 = V484390 + 1. assign V655914 = V009251 - 1. assign V825095 = V137576. assign V504921 = V294976 - 1. assign V260122 = V765839. assign V390341 = V020601. assign V480461 = V575260. assign V297659 = V751082. assign V859093 = V672633 - 1. assign V751082 = V825173. assign V253153 = V450935 - 1. assign V603738 = V924023 + 1. assign V812635 = V480461 + 1. assign V685007 = V996107. assign V092158 = V379583 + 1. assign V844638 = V543251 - 1. assign V442379 = V886328. assign V022886 = V139551 - 1. assign V188378 = V849587. assign V433921 = V010270. assign V523187 = V962465. assign V990368 = V996107 - 1. assign V886328 = V154629 - 1. assign V450935 = V283896 - 1. assign V477143 = V651936 + 1. assign V115680 = V056742 - 1. assign V674883 = V181185 - 1. assign V747964 = V404433 - 1. assign V585121 = V340950 - 1. assign V974667 = V867111 + 1. assign V726258 = V748308 - 1. assign V378706 = V910105 - 1. assign V546952 = V856728. assign V617127 = V056229. assign V797140 = V380375. assign V106453 = V939903. assign V350975 = V172908 - 1. assign V849587 = V137576 - 1. assign V832751 = V450935 + 1. assign V279927 = V417488 + 1. assign V748187 = V402722 - 1. assign V231216 = V424649 + 1. assign V187923 = V480461 - 1. assign V265728 = V974667. assign V706919 = V733550. assign V864124 = V625191. assign V177874 = V472884 - 1. assign V273672 = V962465 + 1. assign V176771 = V993789. assign V789022 = V832880. assign V263426 = V610125. assign V545906 = V259382 - 1. assign V012195 = V818649 + 1. assign V091584 = V404433 + 1. assign V135359 = V239415. assign V766545 = V371701. assign V094596 = V421427. assign V110409 = V421427. assign V563883 = V541369. assign V182654 = V581086. assign V424649 = V589070 + 1. assign V010095 = V504921. assign V748778 = V935293 - 1. assign V735183 = V962465. assign V888043 = V985883 - 1. assign V023196 = V137629. assign V751345 = V474523 + 1. assign V585656 = V569337. assign V924023 = V789022 - 1. assign V010270 = V996107 + 1. assign V505420 = V484390. assign V793554 = V060352 + 1. assign V561515 = V239415. assign V136924 = V569337 - 1. assign V693874 = V113824 - 1. assign V090275 = V748187. assign V306262 = V685216. assign V301630 = V136924. assign V434011 = V699976. assign V540764 = V763612 + 1. assign V340950 = V477143. assign V484390 = V294976 - 1. assign V137629 = V113034. assign V676516 = V562406. assign V405683 = V543251 + 1. assign V182426 = V957256. assign V877202 = V484390. assign V417488 = V765839 + 1. assign V251975 = V380375. assign V713897 = V733550 - 1. assign V935293 = V561515 + 1. assign V620538 = V676516 - 1. assign V237666 = V793554 + 1. assign V706492 = V040695 + 1. assign V519005 = V570311 - 1. assign V672633 = V251975 + 1. assign V366615 = V825095 + 1. assign V037061 = V010270 - 1. assign V130425 = V825095. assign V521526 = V573255. assign V583572 = V849587 - 1. assign V993789 = V419014. assign V954992 = V182654 + 1. assign V620453 = V562406. assign V174611 = V791578 - 1. assign V693893 = V583572 - 1. assign V585153 = V766545 - 1. assign V939903 = V844638 - 1. assign V223745 = V254998 + 1. assign V113824 = V188378 - 1. assign V981950 = V189904 - 1. assign V079479 = V699976. assign V236690 = V765839 + 1. assign V390719 = V020601 - 1. assign V053423 = V570311 - 1. assign V260663 = V323560. assign V427889 = V402722 - 1. assign V076318 = V601667 - 1. assign V860155 = V828351 - 1. assign V056742 = V091584 - 1. assign V791578 = V172861 + 1. assign V657913 = V589070. assign V917735 = V484390 - 1. assign V680421 = V844638 + 1. assign V868169 = V367672 - 1. assign V010237 = V060352 + 1. assign V283896 = V972334 + 1. assign V920024 = V561515. assign V018677 = V646671 - 1. assign V543251 = V186441. assign V877949 = V427840 - 1. assign V690835 = V996507. assign V934831 = V236690. assign V856728 = V366615. assign V905294 = V632265 + 1. assign V533200 = V472884 - 1. assign V777546 = V182654 - 1. assign V763612 = V789022 + 1. assign V395168 = V477143 - 1. assign V790931 = V011356. assign V841731 = V825173 - 1. assign V597422 = V589661 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V557566 = V676690. assign V589070 = V213621 - 1. assign V665700 = V279927. assign V113564 = V981950 + 1. assign V765839 = V699976 + 1. assign V840401 = V133197 + 1. assign V940407 = V895437 + 1. assign V876726 = V828351 - 1. assign V957256 = V294976 + 1. assign V392080 = V894901. assign V311937 = V764014 - 1. assign V213621 = V371701. assign V901714 = V253153. assign V405775 = V254998 - 1. assign V371701 = V239415. assign V589661 = V217591 + 1. assign V646671 = V472884 + 1. assign V662921 = V260122 - 1. assign V099450 = V251975 + 1. assign V001010 = V962465 + 1. assign V073720 = V674883 + 1. assign V380274 = V189904. assign V920038 = V001010 + 1. assign V611461 = V279927 + 1. assign V573255 = V777401. assign V983370 = V974667. assign V676690 = V504921 + 1. assign V836031 = V706492 - 1. assign V005381 = V589661. assign V831980 = V130425. assign V414468 = V764014. assign V830860 = V808623. assign V181185 = V962465 + 1. assign V870295 = V060352. assign V189904 = V632265 - 1. assign V909393 = V706492 + 1. assign V254998 = 0. assign V427840 = V775679 + 1. assign V867111 = V359492. assign V349166 = V182654 - 1. assign V828351 = V583572 + 1. assign V448220 = V450935 + 1. assign V433616 = V254998 + 1. assign V040695 = V993789 - 1. assign V909863 = V996107 - 1. assign V764014 = V450935 + 1. assign V379529 = V076318 - 1. assign V940415 = V917735 - 1. assign V699976 = V484390. assign V452240 = V920024 - 1. assign V651936 = V239415 - 1. assign V790929 = V092158 - 1. assign V379583 = V417488 - 1. assign V639417 = V366615. assign V448210 = V955134. assign V734860 = V349166 + 1. assign V525894 = V562406 + 1. assign V805053 = V733550 + 1. assign V894901 = V174611 - 1. assign V402722 = V423496. assign V985883 = V877202 - 1. assign V687077 = V791578 + 1. assign V292747 = V917735 - 1. assign V562406 = V632265 + 1. assign V926396 = V001010. assign V794520 = V510043. assign V645320 = V763612 + 1. assign V396699 = V996507 + 1. assign V056229 = V971976 - 1. assign V972334 = V396699 - 1. assign V610125 = V450935. assign V367672 = V010270 + 1. assign V253679 = V020601 + 1. assign V419014 = V832880 + 1. assign V510043 = V876726 - 1. assign V996507 = V575260 + 1. assign V987070 = V182137 - 1. assign V642225 = V996507 - 1. assign V605933 = V391783 - 1. assign V606885 = V812635. assign V767681 = V676516. assign V155757 = V764014. assign V210973 = V434011 + 1. assign V051239 = V832880 - 1. assign V996107 = V625191 + 1. assign V874810 = V504921. assign V359492 = V917735 - 1. assign V124689 = V213621 + 1. assign V962465 = V561515 - 1. assign V323560 = V573255 + 1. assign V545652 = V133095 - 1. assign V133197 = V396699 - 1. assign V404433 = V133197 - 1. assign V808623 = V139551. assign V011356 = V450935 + 1. assign V493460 = V519005 + 1. assign V570798 = V060352 - 1. assign V703366 = V429335. assign V514425 = V283896 + 1. assign V186441 = V260122. assign V395186 = V009255 + 1. assign V113034 = V366615 + 1. assign V172861 = V480461 - 1. assign V715270 = V589661 - 1. assign V880748 = V396699 - 1. assign V615905 = V187923 + 1. assign V825173 = V371701 - 1. assign V165070 = V904144 - 1. assign V788116 = V311937 - 1. assign V289477 = V505420 - 1. assign V750700 = V472884 + 1. assign V294976 = V561515. assign V182137 = V832880 - 1. assign V711110 = V645320. assign V770920 = V748187 - 1. assign V827323 = V940407. assign V422871 = V920886. assign V733550 = V625191 - 1. assign V137576 = V561515 + 1. assign V683748 = V589070. assign V014366 = V841731. assign V623268 = V955134 + 1. assign V971976 = V254998 + 1. assign V105496 = V791578 - 1. assign V777401 = V099450. assign V919835 = V452240. assign V789221 = V825095. assign V570311 = V844638. assign V034924 = V135359. assign V139551 = V217591 + 1. assign V579096 = V674883 - 1. assign V904144 = V617127. assign V970931 = V789221 + 1. assign V423127 = V849587. assign V423496 = V562406 + 1. assign V009255 = V789022 - 1. assign V685216 = V480461 - 1. assign V133095 = V844638. assign V239415 = V575260 + 1. assign V217591 = V239415. assign V666570 = V972334 + 1. assign V358497 = V011356 + 1. assign V197466 = V113034 + 1. assign V052428 = V177874. assign V748308 = V733550. assign V154629 = V733550. assign V517940 = V534926. assign V601667 = V733550. assign V060352 = V789221 + 1. assign V474523 = V996107. assign V541369 = V020601. assign V680735 = V424649. assign V139905 = V390719 - 1. assign V768702 = V825173. assign V955134 = V699976. assign V572897 = V701958 - 1. assign V020601 = V560618. assign V632265 = V396699. assign V818649 = V632265 + 1. assign V895437 = V371701 + 1. assign V259382 = V371701 - 1. assign V421427 = V541369 - 1. assign V108244 = V748778. assign V183887 = V137629 + 1. assign V581086 = V831980. assign V071484 = V402722 + 1. assign V717181 = V477143 + 1. assign V888452 = V895437 - 1. assign V307901 = V765839. assign V789356 = V972334. assign V466374 = V924023. assign V652801 = V396699 + 1. assign V910105 = V186441 - 1. assign V534926 = V996107 + 1. assign V701958 = V545906 - 1. assign V597964 = V611461 - 1. assign V775679 = V450935 - 1. assign V660561 = V877202 + 1. assign V918205 = V189904. assign V569337 = V154629 - 1. assign V472884 = V996107 + 1. assign V190187 = V788116 - 1. assign V373858 = V625191. assign V891393 = V010270 - 1. assign V625191 = V283896 - 1. assign V742021 = V812635 - 1. assign V082815 = V294976. assign V521442 = V940415 - 1. assign V438795 = V777401 - 1. assign V971405 = V396699. assign V412090 = V020601. assign V380375 = V962465. assign V560618 = V396699 + 1. assign V759697 = V010270 - 1. assign V113704 = V182654. assign V096304 = V808623 - 1. assign V081944 = V427889 - 1. assign V009251 = V525894. assign V711734 = V091584 - 1. assign V429335 = V010270. assign V266382 = V423496. assign V920886 = V421427 - 1. assign V832880 = V396699. assign V391783 = V562406 - 1. assign V271899 = V575260 + 1. assign V172908 = V427840 - 1. assign V508023 = V239415. assign V133265 = V405775 + 1. assign V356238 = V079479. assign V891859 = V484390 + 1. assign V655914 = V009251 - 1. assign V825095 = V137576. assign V504921 = V294976 - 1. assign V260122 = V765839. assign V390341 = V020601. assign V480461 = V575260. assign V297659 = V751082. assign V859093 = V672633 - 1. assign V751082 = V825173. assign V253153 = V450935 - 1. assign V603738 = V924023 + 1. assign V812635 = V480461 + 1. assign V685007 = V996107. assign V092158 = V379583 + 1. assign V844638 = V543251 - 1. assign V442379 = V886328. assign V022886 = V139551 - 1. assign V188378 = V849587. assign V433921 = V010270. assign V523187 = V962465. assign V990368 = V996107 - 1. assign V886328 = V154629 - 1. assign V450935 = V283896 - 1. assign V477143 = V651936 + 1. assign V115680 = V056742 - 1. assign V674883 = V181185 - 1. assign V747964 = V404433 - 1. assign V585121 = V340950 - 1. assign V974667 = V867111 + 1. assign V726258 = V748308 - 1. assign V378706 = V910105 - 1. assign V546952 = V856728. assign V617127 = V056229. assign V797140 = V380375. assign V106453 = V939903. assign V350975 = V172908 - 1. assign V849587 = V137576 - 1. assign V832751 = V450935 + 1. assign V279927 = V417488 + 1. assign V748187 = V402722 - 1. assign V231216 = V424649 + 1. assign V187923 = V480461 - 1. assign V265728 = V974667. assign V706919 = V733550. assign V864124 = V625191. assign V177874 = V472884 - 1. assign V273672 = V962465 + 1. assign V176771 = V993789. assign V789022 = V832880. assign V263426 = V610125. assign V545906 = V259382 - 1. assign V012195 = V818649 + 1. assign V091584 = V404433 + 1. assign V135359 = V239415. assign V766545 = V371701. assign V094596 = V421427. assign V110409 = V421427. assign V563883 = V541369. assign V182654 = V581086. assign V424649 = V589070 + 1. assign V010095 = V504921. assign V748778 = V935293 - 1. assign V735183 = V962465. assign V888043 = V985883 - 1. assign V023196 = V137629. assign V751345 = V474523 + 1. assign V585656 = V569337. assign V924023 = V789022 - 1. assign V010270 = V996107 + 1. assign V505420 = V484390. assign V793554 = V060352 + 1. assign V561515 = V239415. assign V136924 = V569337 - 1. assign V693874 = V113824 - 1. assign V090275 = V748187. assign V306262 = V685216. assign V301630 = V136924. assign V434011 = V699976. assign V540764 = V763612 + 1. assign V340950 = V477143. assign V484390 = V294976 - 1. assign V137629 = V113034. assign V676516 = V562406. assign V405683 = V543251 + 1. assign V182426 = V957256. assign V877202 = V484390. assign V417488 = V765839 + 1. assign V251975 = V380375. assign V713897 = V733550 - 1. assign V935293 = V561515 + 1. assign V620538 = V676516 - 1. assign V237666 = V793554 + 1. assign V706492 = V040695 + 1. assign V519005 = V570311 - 1. assign V672633 = V251975 + 1. assign V366615 = V825095 + 1. assign V037061 = V010270 - 1. assign V130425 = V825095. assign V521526 = V573255. assign V583572 = V849587 - 1. assign V993789 = V419014. assign V954992 = V182654 + 1. assign V620453 = V562406. assign V174611 = V791578 - 1. assign V693893 = V583572 - 1. assign V585153 = V766545 - 1. assign V939903 = V844638 - 1. assign V223745 = V254998 + 1. assign V113824 = V188378 - 1. assign V981950 = V189904 - 1. assign V079479 = V699976. assign V236690 = V765839 + 1. assign V390719 = V020601 - 1. assign V053423 = V570311 - 1. assign V260663 = V323560. assign V427889 = V402722 - 1. assign V076318 = V601667 - 1. assign V860155 = V828351 - 1. assign V056742 = V091584 - 1. assign V791578 = V172861 + 1. assign V657913 = V589070. assign V917735 = V484390 - 1. assign V680421 = V844638 + 1. assign V868169 = V367672 - 1. assign V010237 = V060352 + 1. assign V283896 = V972334 + 1. assign V920024 = V561515. assign V018677 = V646671 - 1. assign V543251 = V186441. assign V877949 = V427840 - 1. assign V690835 = V996507. assign V934831 = V236690. assign V856728 = V366615. assign V905294 = V632265 + 1. assign V533200 = V472884 - 1. assign V777546 = V182654 - 1. assign V763612 = V789022 + 1. assign V395168 = V477143 - 1. assign V790931 = V011356. assign V841731 = V825173 - 1. assign V597422 = V589661 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV254998 = 0;\n\nFrom these direct assignment(s), we have: \nV223745 = V254998 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V223745;\nV971976 = V254998 + 1 = 0 + 1 =1;\nV056229 = V971976 - 1 = 1 - 1 =0;\nV617127 = V056229 = 0;\nV904144 = V617127 = 0;\nV165070 = V904144 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V165070;\nNo other varaibles can be derived from V904144;\nNo other varaibles can be derived from V617127;\nNo other varaibles can be derived from V056229;\nNo other varaibles can be derived from V971976;\nV433616 = V254998 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V433616;\nV405775 = V254998 - 1 = 0 - 1 =-1;\nV133265 = V405775 + 1 = -1 + 1 =0;\nNo other varaibles can be derived from V133265;\nNo other varaibles can be derived from V405775;\nNo other varaibles can be derived from V254998;\n\nNow we have done all the calculations. Derived variables are:\nV254998 = 0;\nV223745 = 1;\nV971976 = 1;\nV056229 = 0;\nV617127 = 0;\nV904144 = 0;\nV165070 = -1;\nV433616 = 1;\nV405775 = -1;\nV133265 = 0;\n\nNow we have finished this problem. ANSWER:\nV165070, V405775\n", "role": "assistant" } ]

[ "V340438", "V275613", "V391778", "V063601", "V360816", "V820846" ]

[ { "content": "<context>\nassign V144605 = V491875 - 1. assign V799123 = V290935. assign V890825 = V729146 - 1. assign V261717 = V381039 - 1. assign V679447 = V087512 - 1. assign V603907 = V944416. assign V233724 = V290908 + 1. assign V623340 = V871767 + 1. assign V892238 = V582062 + 1. assign V339817 = V470854 - 1. assign V696857 = V426984 + 1. assign V251928 = V601452 - 1. assign V586505 = V265286. assign V781252 = V133788. assign V470854 = V683766 - 1. assign V422428 = V175728. assign V949375 = V910093 + 1. assign V637712 = V498291 - 1. assign V891078 = V184033. assign V014272 = V996753. assign V390150 = V435870. assign V520203 = V023536 - 1. assign V527533 = V421025. assign V390305 = V601452. assign V597983 = V104672 - 1. assign V509353 = V220759 + 1. assign V245839 = V469256 - 1. assign V372867 = V910093 - 1. assign V683766 = V781252. assign V491875 = V205429. assign V978666 = V469256. assign V319796 = V477219 - 1. assign V205429 = V919730 + 1. assign V982908 = V133788. assign V038812 = V650412. assign V205635 = V625732 + 1. assign V572203 = V205429 - 1. assign V675714 = V684957 - 1. assign V109297 = V656497 - 1. assign V088914 = V112990 - 1. assign V674282 = V733107 - 1. assign V022185 = V025597. assign V129497 = V133788 + 1. assign V991519 = V184033 - 1. assign V361661 = V290935 + 1. assign V207807 = V344460. assign V518132 = V180714 - 1. assign V469256 = V675714. assign V571391 = V998274 - 1. assign V878509 = V164600 - 1. assign V631379 = V112990 - 1. assign V034783 = V038713. assign V276520 = V205635 - 1. assign V523488 = V180714. assign V444195 = V919730 - 1. assign V911376 = V458025 + 1. assign V182940 = V123086 - 1. assign V715279 = V038713 - 1. assign V721917 = V012917 + 1. assign V372145 = V678813 - 1. assign V157611 = V759148 - 1. assign V187361 = V290935 + 1. assign V929495 = V274068. assign V298208 = V919730. assign V619681 = V006002 - 1. assign V455414 = V435870. assign V498291 = V675714 - 1. assign V677827 = V757844. assign V859531 = V898551 - 1. assign V833716 = V949375 - 1. assign V832913 = V929495. assign V625732 = V587513 + 1. assign V546838 = V698189 + 1. assign V484690 = V806023 - 1. assign V150103 = V996753. assign V163223 = V287846 - 1. assign V537028 = V601452 - 1. assign V574701 = V919730 + 1. assign V164600 = V919730 - 1. assign V944846 = V614289 + 1. assign V607994 = V489873 + 1. assign V473045 = V817865 + 1. assign V815363 = V630510 - 1. assign V435870 = V869826 + 1. assign V269579 = V653782 - 1. assign V541776 = V599972. assign V391778 = V340438. assign V401288 = V019213 + 1. assign V780309 = V012917 + 1. assign V039467 = V650412 - 1. assign V381561 = V534897 + 1. assign V619358 = V929495 + 1. assign V183492 = V142813 - 1. assign V640519 = V503814. assign V010908 = V652292 + 1. assign V971925 = V003957 - 1. assign V265286 = V945509 - 1. assign V179214 = V541854 + 1. assign V690482 = V506474 - 1. assign V444085 = V597998. assign V329415 = V730701 - 1. assign V120894 = V808063 - 1. assign V528193 = V630510 + 1. assign V678813 = V087512. assign V773193 = V088914 - 1. assign V112031 = V927881 + 1. assign V156801 = V326472. assign V544105 = V982908 - 1. assign V088963 = V319796 + 1. assign V684957 = V832913. assign V623788 = V462049. assign V652292 = V944846. assign V558420 = V978666 + 1. assign V013722 = V582062 - 1. assign V204292 = V083430. assign V087263 = V233724 + 1. assign V813484 = V574701 + 1. assign V133788 = V574701 - 1. assign V811882 = V587513 - 1. assign V142813 = V161607. assign V099473 = V038713 - 1. assign V357352 = V684957 + 1. assign V699290 = V793565. assign V829246 = V276520 + 1. assign V272429 = V784009 + 1. assign V161400 = V241064 - 1. assign V711748 = V233724 + 1. assign V910093 = V461167 - 1. assign V122634 = V444195. assign V088520 = V934099 - 1. assign V650412 = V230978 - 1. assign V439499 = V038713 + 1. assign V478883 = V064053 - 1. assign V461167 = V587513. assign V036309 = V524856 - 1. assign V025597 = V293938. assign V585046 = V711748 - 1. assign V386322 = V123086 - 1. assign V434562 = V840985. assign V717440 = V714281. assign V480879 = V759148. assign V678460 = V919730 + 1. assign V502591 = V469256 - 1. assign V913440 = V161607 + 1. assign V326472 = V698189. assign V304219 = V599972 - 1. assign V353900 = V996753 - 1. assign V995239 = V781252 - 1. assign V697413 = V698189 - 1. assign V280465 = V820482 + 1. assign V872896 = V003957 - 1. assign V083430 = V675714 - 1. assign V019213 = V991519 - 1. assign V996753 = V761065 + 1. assign V784009 = V820482. assign V568492 = V038812 - 1. assign V090054 = V929495. assign V656497 = V518132 + 1. assign V806023 = V183650. assign V135673 = V774010. assign V783320 = V503814. assign V022998 = V207807. assign V598352 = V477219. assign V506474 = V014272 - 1. assign V425633 = V506474 + 1. assign V220759 = V574701. assign V462049 = V683766. assign V600603 = V683766 + 1. assign V032621 = V123086. assign V503814 = V518132. assign V587513 = V003957. assign V886612 = V287846. assign V306209 = V677485 + 1. assign V433407 = V157611. assign V142840 = V744840. assign V023051 = V678813 + 1. assign V123908 = V678813 - 1. assign V927881 = V421025 + 1. assign V006002 = V462049 + 1. assign V091983 = V292680 - 1. assign V693241 = V088914 - 1. assign V184033 = V929495 + 1. assign V698189 = V919730 + 1. assign V793565 = V898551 + 1. assign V180714 = V003957 - 1. assign V757352 = V390305. assign V586081 = V614289 - 1. assign V599972 = V982908 + 1. assign V256477 = V287846 - 1. assign V642544 = V003957 - 1. assign V469765 = V773193 - 1. assign V507648 = V036309 + 1. assign V608658 = V619681 + 1. assign V627241 = V944416 + 1. assign V534318 = V744840 + 1. assign V350088 = V599972. assign V761065 = V587513. assign V290908 = V326472. assign V563966 = V744840 + 1. assign V393560 = V251928 + 1. assign V738945 = V290935 - 1. assign V998274 = V640519 + 1. assign V757844 = V391778 + 1. assign V787455 = V462049. assign V729146 = V463690. assign V023536 = V603907 - 1. assign V161607 = V290319 - 1. assign V421025 = V230978 + 1. assign V882760 = V023536 - 1. assign V235896 = V698189. assign V287846 = V640519. assign V260591 = V693241 - 1. assign V381039 = V013722 + 1. assign V231278 = V006002. assign V303968 = V502591. assign V482385 = V929495 + 1. assign V534897 = V684957 + 1. assign V916391 = V684957. assign V602240 = V871767. assign V458025 = V142840 + 1. assign V613496 = V675714. assign V944416 = V650412 - 1. assign V840985 = V230978 - 1. assign V934099 = V898551 - 1. assign V087512 = V230978. assign V112990 = V919730 - 1. assign V871767 = V929495 + 1. assign V541854 = V434562 + 1. assign V293938 = V498291 - 1. assign V123086 = V498291 + 1. assign V730701 = V265308. assign V842250 = V469256. assign V292137 = V183492. assign V630510 = V373804. assign V808063 = V846360 + 1. assign V820482 = V184033. assign V733107 = V934099. assign V275613 = V175728 + 1. assign V143518 = V372867 - 1. assign V265308 = V698189 + 1. assign V092538 = V023051. assign V792717 = V698189 + 1. assign V489873 = V498291. assign V258256 = V878509 + 1. assign V003957 = V929495 + 1. assign V540719 = V820482 - 1. assign V524856 = V574701 - 1. assign V177880 = V919730. assign V641190 = V470854. assign V910842 = V064053 - 1. assign V360816 = V063601. assign V066862 = V527533. assign V048621 = V143394 - 1. assign V382365 = V642544 - 1. assign V759148 = V650412. assign V774010 = V233724. assign V280515 = V518132. assign V816302 = V104631 + 1. assign V198315 = V372145. assign V290319 = V290908 - 1. assign V419484 = V570975 + 1. assign V650555 = V890825 - 1. assign V746110 = V182940. assign V864759 = V006002 + 1. assign V723506 = V714281 - 1. assign V582062 = V088914. assign V099181 = V995239 - 1. assign V373804 = V003957 - 1. assign V537733 = V891078. assign V530765 = V469765 - 1. assign V613530 = V793565. assign V833607 = V570975 - 1. assign V597998 = V003957 + 1. assign V945509 = V869826. assign V898551 = V205429. assign V601452 = V003957 + 1. assign V229583 = V971925. assign V846360 = V180714 + 1. assign V001807 = V480879 - 1. assign V104672 = V927881 - 1. assign V731037 = V083430 - 1. assign V246999 = V129497. assign V878540 = V287846 + 1. assign V931061 = V656497. assign V644482 = V163223 - 1. assign V404176 = V574701 + 1. assign V337668 = V444195 - 1. assign V010881 = V142813. assign V570975 = V123086 - 1. assign V708502 = V019213. assign V104631 = V898551. assign V241064 = V890825. assign V012917 = V290908. assign V670130 = V800427 + 1. assign V063601 = V275613. assign V653782 = V556991. assign V363879 = V650412 + 1. assign V959559 = V290319 - 1. assign V869826 = V597998 + 1. assign V716729 = V298208 + 1. assign V143394 = V123086 - 1. assign V678115 = V631379 - 1. assign V183650 = V245839 - 1. assign V230978 = V274068 - 1. assign V744840 = V205429. assign V340438 = 3. assign V292680 = V235896 + 1. assign V165096 = V198315. assign V101814 = V563966. assign V817865 = V982908 - 1. assign V274068 = V919730 - 1. assign V726519 = V619358. assign V298346 = V696857 + 1. assign V811528 = V982908. assign V500545 = V534897. assign V827361 = V919730 - 1. assign V040148 = V613496. assign V084868 = V444085 + 1. assign V477219 = V832913. assign V326716 = V498291. assign V175728 = V340438 - 1. assign V614289 = V503814 - 1. assign V677485 = V781252. assign V820846 = V391778. assign V726163 = V326716 - 1. assign V714281 = V587513 - 1. assign V800427 = V944416. assign V346883 = V120894. assign V214645 = V444085 - 1. assign V001779 = V220759 - 1. assign V661713 = V381039. assign V344460 = V773193 + 1. assign V362482 = V677485. assign V620800 = V568492. assign V333098 = V280465. assign V661246 = V800427 - 1. assign V104768 = V502591. assign V309182 = V537028. assign V137247 = V949375 - 1. assign V155782 = V530765 - 1. assign V463690 = V784009. assign V038713 = V477219 + 1. assign V556991 = V156801 + 1. assign V524121 = V524856 + 1. assign V064053 = V613530. assign V039183 = V205429. assign V267828 = V813484 - 1. assign V244234 = V123908 + 1. assign V426984 = V480879 + 1. assign V356092 = V123086 + 1. assign V290935 = V759148 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V144605 = V491875 - 1. assign V799123 = V290935. assign V890825 = V729146 - 1. assign V261717 = V381039 - 1. assign V679447 = V087512 - 1. assign V603907 = V944416. assign V233724 = V290908 + 1. assign V623340 = V871767 + 1. assign V892238 = V582062 + 1. assign V339817 = V470854 - 1. assign V696857 = V426984 + 1. assign V251928 = V601452 - 1. assign V586505 = V265286. assign V781252 = V133788. assign V470854 = V683766 - 1. assign V422428 = V175728. assign V949375 = V910093 + 1. assign V637712 = V498291 - 1. assign V891078 = V184033. assign V014272 = V996753. assign V390150 = V435870. assign V520203 = V023536 - 1. assign V527533 = V421025. assign V390305 = V601452. assign V597983 = V104672 - 1. assign V509353 = V220759 + 1. assign V245839 = V469256 - 1. assign V372867 = V910093 - 1. assign V683766 = V781252. assign V491875 = V205429. assign V978666 = V469256. assign V319796 = V477219 - 1. assign V205429 = V919730 + 1. assign V982908 = V133788. assign V038812 = V650412. assign V205635 = V625732 + 1. assign V572203 = V205429 - 1. assign V675714 = V684957 - 1. assign V109297 = V656497 - 1. assign V088914 = V112990 - 1. assign V674282 = V733107 - 1. assign V022185 = V025597. assign V129497 = V133788 + 1. assign V991519 = V184033 - 1. assign V361661 = V290935 + 1. assign V207807 = V344460. assign V518132 = V180714 - 1. assign V469256 = V675714. assign V571391 = V998274 - 1. assign V878509 = V164600 - 1. assign V631379 = V112990 - 1. assign V034783 = V038713. assign V276520 = V205635 - 1. assign V523488 = V180714. assign V444195 = V919730 - 1. assign V911376 = V458025 + 1. assign V182940 = V123086 - 1. assign V715279 = V038713 - 1. assign V721917 = V012917 + 1. assign V372145 = V678813 - 1. assign V157611 = V759148 - 1. assign V187361 = V290935 + 1. assign V929495 = V274068. assign V298208 = V919730. assign V619681 = V006002 - 1. assign V455414 = V435870. assign V498291 = V675714 - 1. assign V677827 = V757844. assign V859531 = V898551 - 1. assign V833716 = V949375 - 1. assign V832913 = V929495. assign V625732 = V587513 + 1. assign V546838 = V698189 + 1. assign V484690 = V806023 - 1. assign V150103 = V996753. assign V163223 = V287846 - 1. assign V537028 = V601452 - 1. assign V574701 = V919730 + 1. assign V164600 = V919730 - 1. assign V944846 = V614289 + 1. assign V607994 = V489873 + 1. assign V473045 = V817865 + 1. assign V815363 = V630510 - 1. assign V435870 = V869826 + 1. assign V269579 = V653782 - 1. assign V541776 = V599972. assign V391778 = V340438. assign V401288 = V019213 + 1. assign V780309 = V012917 + 1. assign V039467 = V650412 - 1. assign V381561 = V534897 + 1. assign V619358 = V929495 + 1. assign V183492 = V142813 - 1. assign V640519 = V503814. assign V010908 = V652292 + 1. assign V971925 = V003957 - 1. assign V265286 = V945509 - 1. assign V179214 = V541854 + 1. assign V690482 = V506474 - 1. assign V444085 = V597998. assign V329415 = V730701 - 1. assign V120894 = V808063 - 1. assign V528193 = V630510 + 1. assign V678813 = V087512. assign V773193 = V088914 - 1. assign V112031 = V927881 + 1. assign V156801 = V326472. assign V544105 = V982908 - 1. assign V088963 = V319796 + 1. assign V684957 = V832913. assign V623788 = V462049. assign V652292 = V944846. assign V558420 = V978666 + 1. assign V013722 = V582062 - 1. assign V204292 = V083430. assign V087263 = V233724 + 1. assign V813484 = V574701 + 1. assign V133788 = V574701 - 1. assign V811882 = V587513 - 1. assign V142813 = V161607. assign V099473 = V038713 - 1. assign V357352 = V684957 + 1. assign V699290 = V793565. assign V829246 = V276520 + 1. assign V272429 = V784009 + 1. assign V161400 = V241064 - 1. assign V711748 = V233724 + 1. assign V910093 = V461167 - 1. assign V122634 = V444195. assign V088520 = V934099 - 1. assign V650412 = V230978 - 1. assign V439499 = V038713 + 1. assign V478883 = V064053 - 1. assign V461167 = V587513. assign V036309 = V524856 - 1. assign V025597 = V293938. assign V585046 = V711748 - 1. assign V386322 = V123086 - 1. assign V434562 = V840985. assign V717440 = V714281. assign V480879 = V759148. assign V678460 = V919730 + 1. assign V502591 = V469256 - 1. assign V913440 = V161607 + 1. assign V326472 = V698189. assign V304219 = V599972 - 1. assign V353900 = V996753 - 1. assign V995239 = V781252 - 1. assign V697413 = V698189 - 1. assign V280465 = V820482 + 1. assign V872896 = V003957 - 1. assign V083430 = V675714 - 1. assign V019213 = V991519 - 1. assign V996753 = V761065 + 1. assign V784009 = V820482. assign V568492 = V038812 - 1. assign V090054 = V929495. assign V656497 = V518132 + 1. assign V806023 = V183650. assign V135673 = V774010. assign V783320 = V503814. assign V022998 = V207807. assign V598352 = V477219. assign V506474 = V014272 - 1. assign V425633 = V506474 + 1. assign V220759 = V574701. assign V462049 = V683766. assign V600603 = V683766 + 1. assign V032621 = V123086. assign V503814 = V518132. assign V587513 = V003957. assign V886612 = V287846. assign V306209 = V677485 + 1. assign V433407 = V157611. assign V142840 = V744840. assign V023051 = V678813 + 1. assign V123908 = V678813 - 1. assign V927881 = V421025 + 1. assign V006002 = V462049 + 1. assign V091983 = V292680 - 1. assign V693241 = V088914 - 1. assign V184033 = V929495 + 1. assign V698189 = V919730 + 1. assign V793565 = V898551 + 1. assign V180714 = V003957 - 1. assign V757352 = V390305. assign V586081 = V614289 - 1. assign V599972 = V982908 + 1. assign V256477 = V287846 - 1. assign V642544 = V003957 - 1. assign V469765 = V773193 - 1. assign V507648 = V036309 + 1. assign V608658 = V619681 + 1. assign V627241 = V944416 + 1. assign V534318 = V744840 + 1. assign V350088 = V599972. assign V761065 = V587513. assign V290908 = V326472. assign V563966 = V744840 + 1. assign V393560 = V251928 + 1. assign V738945 = V290935 - 1. assign V998274 = V640519 + 1. assign V757844 = V391778 + 1. assign V787455 = V462049. assign V729146 = V463690. assign V023536 = V603907 - 1. assign V161607 = V290319 - 1. assign V421025 = V230978 + 1. assign V882760 = V023536 - 1. assign V235896 = V698189. assign V287846 = V640519. assign V260591 = V693241 - 1. assign V381039 = V013722 + 1. assign V231278 = V006002. assign V303968 = V502591. assign V482385 = V929495 + 1. assign V534897 = V684957 + 1. assign V916391 = V684957. assign V602240 = V871767. assign V458025 = V142840 + 1. assign V613496 = V675714. assign V944416 = V650412 - 1. assign V840985 = V230978 - 1. assign V934099 = V898551 - 1. assign V087512 = V230978. assign V112990 = V919730 - 1. assign V871767 = V929495 + 1. assign V541854 = V434562 + 1. assign V293938 = V498291 - 1. assign V123086 = V498291 + 1. assign V730701 = V265308. assign V842250 = V469256. assign V292137 = V183492. assign V630510 = V373804. assign V808063 = V846360 + 1. assign V820482 = V184033. assign V733107 = V934099. assign V275613 = V175728 + 1. assign V143518 = V372867 - 1. assign V265308 = V698189 + 1. assign V092538 = V023051. assign V792717 = V698189 + 1. assign V489873 = V498291. assign V258256 = V878509 + 1. assign V003957 = V929495 + 1. assign V540719 = V820482 - 1. assign V524856 = V574701 - 1. assign V177880 = V919730. assign V641190 = V470854. assign V910842 = V064053 - 1. assign V360816 = V063601. assign V066862 = V527533. assign V048621 = V143394 - 1. assign V382365 = V642544 - 1. assign V759148 = V650412. assign V774010 = V233724. assign V280515 = V518132. assign V816302 = V104631 + 1. assign V198315 = V372145. assign V290319 = V290908 - 1. assign V419484 = V570975 + 1. assign V650555 = V890825 - 1. assign V746110 = V182940. assign V864759 = V006002 + 1. assign V723506 = V714281 - 1. assign V582062 = V088914. assign V099181 = V995239 - 1. assign V373804 = V003957 - 1. assign V537733 = V891078. assign V530765 = V469765 - 1. assign V613530 = V793565. assign V833607 = V570975 - 1. assign V597998 = V003957 + 1. assign V945509 = V869826. assign V898551 = V205429. assign V601452 = V003957 + 1. assign V229583 = V971925. assign V846360 = V180714 + 1. assign V001807 = V480879 - 1. assign V104672 = V927881 - 1. assign V731037 = V083430 - 1. assign V246999 = V129497. assign V878540 = V287846 + 1. assign V931061 = V656497. assign V644482 = V163223 - 1. assign V404176 = V574701 + 1. assign V337668 = V444195 - 1. assign V010881 = V142813. assign V570975 = V123086 - 1. assign V708502 = V019213. assign V104631 = V898551. assign V241064 = V890825. assign V012917 = V290908. assign V670130 = V800427 + 1. assign V063601 = V275613. assign V653782 = V556991. assign V363879 = V650412 + 1. assign V959559 = V290319 - 1. assign V869826 = V597998 + 1. assign V716729 = V298208 + 1. assign V143394 = V123086 - 1. assign V678115 = V631379 - 1. assign V183650 = V245839 - 1. assign V230978 = V274068 - 1. assign V744840 = V205429. assign V340438 = 3. assign V292680 = V235896 + 1. assign V165096 = V198315. assign V101814 = V563966. assign V817865 = V982908 - 1. assign V274068 = V919730 - 1. assign V726519 = V619358. assign V298346 = V696857 + 1. assign V811528 = V982908. assign V500545 = V534897. assign V827361 = V919730 - 1. assign V040148 = V613496. assign V084868 = V444085 + 1. assign V477219 = V832913. assign V326716 = V498291. assign V175728 = V340438 - 1. assign V614289 = V503814 - 1. assign V677485 = V781252. assign V820846 = V391778. assign V726163 = V326716 - 1. assign V714281 = V587513 - 1. assign V800427 = V944416. assign V346883 = V120894. assign V214645 = V444085 - 1. assign V001779 = V220759 - 1. assign V661713 = V381039. assign V344460 = V773193 + 1. assign V362482 = V677485. assign V620800 = V568492. assign V333098 = V280465. assign V661246 = V800427 - 1. assign V104768 = V502591. assign V309182 = V537028. assign V137247 = V949375 - 1. assign V155782 = V530765 - 1. assign V463690 = V784009. assign V038713 = V477219 + 1. assign V556991 = V156801 + 1. assign V524121 = V524856 + 1. assign V064053 = V613530. assign V039183 = V205429. assign V267828 = V813484 - 1. assign V244234 = V123908 + 1. assign V426984 = V480879 + 1. assign V356092 = V123086 + 1. assign V290935 = V759148 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV340438 = 3;\n\nFrom these direct assignment(s), we have: \nV175728 = V340438 - 1 = 3 - 1 =2;\nV275613 = V175728 + 1 = 2 + 1 =3;\nV063601 = V275613 = 3;\nV360816 = V063601 = 3;\nNo other varaibles can be derived from V360816;\nNo other varaibles can be derived from V063601;\nNo other varaibles can be derived from V275613;\nV422428 = V175728 = 2;\nNo other varaibles can be derived from V422428;\nNo other varaibles can be derived from V175728;\nV391778 = V340438 = 3;\nV820846 = V391778 = 3;\nNo other varaibles can be derived from V820846;\nV757844 = V391778 + 1 = 3 + 1 =4;\nV677827 = V757844 = 4;\nNo other varaibles can be derived from V677827;\nNo other varaibles can be derived from V757844;\nNo other varaibles can be derived from V391778;\nNo other varaibles can be derived from V340438;\n\nNow we have done all the calculations. Derived variables are:\nV340438 = 3;\nV175728 = 2;\nV275613 = 3;\nV063601 = 3;\nV360816 = 3;\nV422428 = 2;\nV391778 = 3;\nV820846 = 3;\nV757844 = 4;\nV677827 = 4;\n\nNow we have finished this problem. ANSWER:\nV340438, V275613, V063601, V360816, V391778, V820846\n", "role": "assistant" } ]

[ "V106351", "V171563", "V531171", "V731971" ]

[ { "content": "<context>\nassign V588080 = V466801. assign V311266 = V808031 - 1. assign V335911 = V808031 + 1. assign V235866 = V017407. assign V858450 = V578948. assign V178788 = V751859 - 1. assign V211453 = V182620 + 1. assign V488987 = V180998 - 1. assign V213286 = V847153. assign V517719 = 8. assign V419932 = V960678 + 1. assign V494657 = V127310. assign V577916 = V022767 + 1. assign V080604 = V306998 - 1. assign V731971 = V106351. assign V847153 = V811786 + 1. assign V075725 = V751859. assign V494912 = V267000. assign V284138 = V209584 + 1. assign V764025 = V847101 - 1. assign V047131 = V698425. assign V840005 = V388357. assign V833617 = V306998 - 1. assign V893450 = V667976 + 1. assign V483516 = V237469. assign V260357 = V916106 + 1. assign V442561 = V388357. assign V030339 = V310639 + 1. assign V388357 = V858450 + 1. assign V509149 = V150587 + 1. assign V190311 = V182597 - 1. assign V304494 = V760520 + 1. assign V350536 = V517719. assign V048139 = V171563 + 1. assign V456329 = V554031 + 1. assign V823666 = V747863 + 1. assign V310079 = V719106 - 1. assign V983665 = V562052 - 1. assign V239363 = V698425. assign V241609 = V554031. assign V259954 = V983665 + 1. assign V193661 = V002639 + 1. assign V757062 = V043029 - 1. assign V749546 = V338223 - 1. assign V201066 = V198875 + 1. assign V683790 = V672315 - 1. assign V266358 = V362432 + 1. assign V147988 = V641636. assign V375357 = V593020. assign V499668 = V190311. assign V219880 = V846487. assign V681784 = V040463. assign V231514 = V233264. assign V375169 = V681784 + 1. assign V969156 = V104455 + 1. assign V610474 = V104455 - 1. assign V315724 = V916106 + 1. assign V113719 = V419497 - 1. assign V482892 = V338223. assign V473153 = V237469 + 1. assign V641636 = V955607 - 1. assign V913966 = V691705 + 1. assign V698410 = V617190 - 1. assign V357216 = V500753 - 1. assign V916106 = V239584 + 1. assign V061963 = V764025 + 1. assign V247707 = V674962 - 1. assign V294649 = V182597. assign V259587 = V260357 + 1. assign V883067 = V663791. assign V835423 = V647962. assign V982643 = V729314 + 1. assign V485604 = V621754 + 1. assign V527376 = V047738. assign V149051 = V447219 + 1. assign V658130 = V334040 - 1. assign V849416 = V621754 - 1. assign V637912 = V663791 + 1. assign V856648 = V035750. assign V561330 = V939711 + 1. assign V312953 = V770307 - 1. assign V808031 = V237469 + 1. assign V338223 = V315724 - 1. assign V621754 = V237469 + 1. assign V846487 = V472726 - 1. assign V166388 = V811786 + 1. assign V043215 = V035750. assign V718245 = V719106 + 1. assign V823498 = V960678 + 1. assign V939711 = V609453 + 1. assign V748782 = V466801 + 1. assign V761577 = V979270. assign V459612 = V663791. assign V851339 = V017407 + 1. assign V950168 = V531055 - 1. assign V751859 = V182597 - 1. assign V369343 = V858450 - 1. assign V593020 = V047738 - 1. assign V759147 = V239363 + 1. assign V667976 = V858450 + 1. assign V040463 = V239584 + 1. assign V104455 = V239584 - 1. assign V904284 = V362387 - 1. assign V553297 = V350536. assign V785790 = V567110 - 1. assign V857718 = V231514. assign V175054 = V247707 + 1. assign V048271 = V918875 + 1. assign V463044 = V239669 - 1. assign V672315 = V856648. assign V712260 = V482892 + 1. assign V121099 = V364428 - 1. assign V325538 = V567110 - 1. assign V346786 = V624199. assign V522864 = V047738 - 1. assign V641069 = V641636 - 1. assign V250003 = V776497 + 1. assign V260077 = V040463 - 1. assign V738452 = V861232. assign V108932 = V500753. assign V106763 = V472726 + 1. assign V419497 = V527376 - 1. assign V845103 = V846487 - 1. assign V364428 = V647962 - 1. assign V473643 = V667976. assign V562052 = V473153 - 1. assign V482777 = V178788. assign V322410 = V256330. assign V872650 = V751859 + 1. assign V056898 = V979270 + 1. assign V346469 = V454320. assign V628181 = V856648. assign V441784 = V699101 + 1. assign V485949 = V588080 - 1. assign V622331 = V939685 - 1. assign V758538 = V239669. assign V454320 = V233264 + 1. assign V556607 = V047738 - 1. assign V105971 = V311266 - 1. assign V575901 = V121099. assign V467046 = V760520 + 1. assign V341976 = V872650 + 1. assign V394990 = V106351 - 1. assign V191200 = V658130 - 1. assign V051275 = V811786 + 1. assign V565756 = V256330 + 1. assign V818754 = V556607 - 1. assign V310639 = V719106 + 1. assign V736795 = V965935. assign V233264 = V447219 + 1. assign V944416 = V074224 + 1. assign V965935 = V667976. assign V129536 = V593476. assign V247133 = V054380 - 1. assign V982849 = V334195 - 1. assign V185804 = V106351 - 1. assign V189016 = V239669. assign V180998 = V609453. assign V712776 = V043215. assign V553279 = V715677. assign V698425 = V104455 - 1. assign V624199 = V466801 - 1. assign V776497 = V239363 + 1. assign V554031 = V906721 + 1. assign V198875 = V189016 + 1. assign V939685 = V676249. assign V258755 = V718245 - 1. assign V256330 = V017407 + 1. assign V628518 = V182390 + 1. assign V920486 = V346469 + 1. assign V871575 = V473153. assign V293361 = V239584 + 1. assign V567110 = V500753 + 1. assign V427088 = V147988 - 1. assign V593057 = V117162 - 1. assign V036948 = V304494. assign V101518 = V315724. assign V760520 = V472726 + 1. assign V898206 = V047738. assign V635403 = V853390 - 1. assign V955607 = V856648. assign V727126 = V047738 - 1. assign V622906 = V593476. assign V719106 = V522864. assign V306998 = V641636 - 1. assign V262115 = V847101 - 1. assign V022767 = V346469. assign V635057 = V667976 - 1. assign V747863 = V647962 - 1. assign V334040 = V466801 + 1. assign V104421 = V219880 - 1. assign V110012 = V851339 - 1. assign V544089 = V494912. assign V239669 = V985314 - 1. assign V088123 = V747863 - 1. assign V182620 = V672315. assign V239584 = V621754 - 1. assign V609004 = V839369 - 1. assign V839928 = V442561. assign V256834 = V473643 - 1. assign V907344 = V751859 + 1. assign V578948 = V237469 + 1. assign V089434 = V849416. assign V904905 = V698425 - 1. assign V885783 = V785790 - 1. assign V617087 = V239584. assign V663791 = V472726 - 1. assign V223561 = V818754. assign V666440 = V077367 - 1. assign V573601 = V364428 + 1. assign V879222 = V104455 + 1. assign V411271 = V129536 + 1. assign V785530 = V246833 + 1. assign V609453 = V920315. assign V047738 = V040463 + 1. assign V676249 = V851339. assign V256196 = V622906 - 1. assign V182390 = V872650 + 1. assign V482580 = V466801 + 1. assign V938713 = V304494 - 1. assign V017407 = V335911 - 1. assign V811786 = V473153 - 1. assign V182597 = V239584. assign V531055 = V647962 - 1. assign V649665 = V362432 - 1. assign V688374 = V473643. assign V715677 = V233264 + 1. assign V867584 = V338223. assign V474508 = V147988 + 1. assign V256491 = V182390 + 1. assign V699216 = V040463 + 1. assign V531171 = V394990 + 1. assign V319233 = V674948 - 1. assign V150587 = V035750. assign V407464 = V735375 - 1. assign V509772 = V847101. assign V591038 = V266358 - 1. assign V967409 = V871575 - 1. assign V106351 = V350536 + 1. assign V617190 = V617087. assign V267000 = V147988. assign V706391 = V736795 - 1. assign V687394 = V259587. assign V852067 = V104455. assign V768398 = V916106 - 1. assign V564673 = V017407 - 1. assign V657754 = V761577 + 1. assign V535269 = V811786 - 1. assign V291099 = V454320. assign V706588 = V463044. assign V447219 = V266358 - 1. assign V435812 = V527376. assign V691705 = V699216. assign V181159 = V180998 - 1. assign V960678 = V764025. assign V117162 = V904284 + 1. assign V861232 = V904905. assign V127310 = V858450. assign V770307 = V562052 + 1. assign V051566 = V400296 + 1. assign V362432 = V562052 - 1. assign V080792 = V674948 + 1. assign V647962 = V681784 - 1. assign V688194 = V867584 - 1. assign V246833 = V916106 - 1. assign V058175 = V554031 - 1. assign V918875 = V879222 - 1. assign V447971 = V260077. assign V933264 = V727126. assign V593476 = V846487 + 1. assign V168773 = V593020. assign V556135 = V182597 + 1. assign V054380 = V823666 + 1. assign V328838 = V260357 - 1. assign V876651 = V835423. assign V810758 = V808031. assign V131941 = V938713 - 1. assign V032794 = V747863 + 1. assign V581803 = V142544 - 1. assign V979270 = V074224 - 1. assign V266382 = V847101. assign V472726 = V562052 + 1. assign V500753 = V473153 - 1. assign V396329 = V047131 - 1. assign V313217 = V939711 - 1. assign V832058 = V056898 + 1. assign V960929 = V142544 + 1. assign V792854 = V142544 + 1. assign V395181 = V048271. assign V623617 = V647962 - 1. assign V343982 = V933264. assign V812605 = V056898 - 1. assign V183874 = V916106 - 1. assign V362757 = V284138 + 1. assign V365720 = V233264 - 1. assign V439376 = V466801. assign V042304 = V447219 - 1. assign V822533 = V266358. assign V735375 = V509772 - 1. assign V043029 = V883067. assign V601917 = V043029. assign V799986 = V237469. assign V918787 = V089434 + 1. assign V468385 = V441784. assign V582663 = V760520. assign V846134 = V727126 - 1. assign V274865 = V040463 + 1. assign V789266 = V699216. assign V492521 = V637912. assign V334195 = V182597 - 1. assign V209584 = V593020 + 1. assign V699101 = V473153 - 1. assign V088591 = V259954. assign V832090 = V810758 - 1. assign V642201 = V400296 - 1. assign V920315 = V338223. assign V400296 = V698425 - 1. assign V557477 = V581803 + 1. assign V985314 = V335911 + 1. assign V152506 = V904284. assign V010316 = V364428. assign V594936 = V237469 - 1. assign V936601 = V129536 + 1. assign V074224 = V847101. assign V906721 = V856648 + 1. assign V492491 = V419932 + 1. assign V764901 = V835423. assign V366339 = V522864. assign V659598 = V556607. assign V997563 = V687394. assign V517684 = V672315 - 1. assign V674948 = V266358. assign V628100 = V260077 - 1. assign V035750 = V764025 - 1. assign V512599 = V581803 - 1. assign V077367 = V463044 + 1. assign V853390 = V419932 - 1. assign V142544 = V847101 - 1. assign V839369 = V362432 - 1. assign V176437 = V748782 - 1. assign V334346 = V509149 + 1. assign V729314 = V509149 - 1. assign V171563 = V394990 + 1. assign V237469 = V509772 + 1. assign V362387 = V760520 - 1. assign V814541 = V983665 + 1. assign V988423 = V051275. assign V466801 = V266358 - 1. assign V002639 = V849416 - 1. assign V329945 = V810758. assign V674962 = V641636.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V588080 = V466801. assign V311266 = V808031 - 1. assign V335911 = V808031 + 1. assign V235866 = V017407. assign V858450 = V578948. assign V178788 = V751859 - 1. assign V211453 = V182620 + 1. assign V488987 = V180998 - 1. assign V213286 = V847153. assign V517719 = 8. assign V419932 = V960678 + 1. assign V494657 = V127310. assign V577916 = V022767 + 1. assign V080604 = V306998 - 1. assign V731971 = V106351. assign V847153 = V811786 + 1. assign V075725 = V751859. assign V494912 = V267000. assign V284138 = V209584 + 1. assign V764025 = V847101 - 1. assign V047131 = V698425. assign V840005 = V388357. assign V833617 = V306998 - 1. assign V893450 = V667976 + 1. assign V483516 = V237469. assign V260357 = V916106 + 1. assign V442561 = V388357. assign V030339 = V310639 + 1. assign V388357 = V858450 + 1. assign V509149 = V150587 + 1. assign V190311 = V182597 - 1. assign V304494 = V760520 + 1. assign V350536 = V517719. assign V048139 = V171563 + 1. assign V456329 = V554031 + 1. assign V823666 = V747863 + 1. assign V310079 = V719106 - 1. assign V983665 = V562052 - 1. assign V239363 = V698425. assign V241609 = V554031. assign V259954 = V983665 + 1. assign V193661 = V002639 + 1. assign V757062 = V043029 - 1. assign V749546 = V338223 - 1. assign V201066 = V198875 + 1. assign V683790 = V672315 - 1. assign V266358 = V362432 + 1. assign V147988 = V641636. assign V375357 = V593020. assign V499668 = V190311. assign V219880 = V846487. assign V681784 = V040463. assign V231514 = V233264. assign V375169 = V681784 + 1. assign V969156 = V104455 + 1. assign V610474 = V104455 - 1. assign V315724 = V916106 + 1. assign V113719 = V419497 - 1. assign V482892 = V338223. assign V473153 = V237469 + 1. assign V641636 = V955607 - 1. assign V913966 = V691705 + 1. assign V698410 = V617190 - 1. assign V357216 = V500753 - 1. assign V916106 = V239584 + 1. assign V061963 = V764025 + 1. assign V247707 = V674962 - 1. assign V294649 = V182597. assign V259587 = V260357 + 1. assign V883067 = V663791. assign V835423 = V647962. assign V982643 = V729314 + 1. assign V485604 = V621754 + 1. assign V527376 = V047738. assign V149051 = V447219 + 1. assign V658130 = V334040 - 1. assign V849416 = V621754 - 1. assign V637912 = V663791 + 1. assign V856648 = V035750. assign V561330 = V939711 + 1. assign V312953 = V770307 - 1. assign V808031 = V237469 + 1. assign V338223 = V315724 - 1. assign V621754 = V237469 + 1. assign V846487 = V472726 - 1. assign V166388 = V811786 + 1. assign V043215 = V035750. assign V718245 = V719106 + 1. assign V823498 = V960678 + 1. assign V939711 = V609453 + 1. assign V748782 = V466801 + 1. assign V761577 = V979270. assign V459612 = V663791. assign V851339 = V017407 + 1. assign V950168 = V531055 - 1. assign V751859 = V182597 - 1. assign V369343 = V858450 - 1. assign V593020 = V047738 - 1. assign V759147 = V239363 + 1. assign V667976 = V858450 + 1. assign V040463 = V239584 + 1. assign V104455 = V239584 - 1. assign V904284 = V362387 - 1. assign V553297 = V350536. assign V785790 = V567110 - 1. assign V857718 = V231514. assign V175054 = V247707 + 1. assign V048271 = V918875 + 1. assign V463044 = V239669 - 1. assign V672315 = V856648. assign V712260 = V482892 + 1. assign V121099 = V364428 - 1. assign V325538 = V567110 - 1. assign V346786 = V624199. assign V522864 = V047738 - 1. assign V641069 = V641636 - 1. assign V250003 = V776497 + 1. assign V260077 = V040463 - 1. assign V738452 = V861232. assign V108932 = V500753. assign V106763 = V472726 + 1. assign V419497 = V527376 - 1. assign V845103 = V846487 - 1. assign V364428 = V647962 - 1. assign V473643 = V667976. assign V562052 = V473153 - 1. assign V482777 = V178788. assign V322410 = V256330. assign V872650 = V751859 + 1. assign V056898 = V979270 + 1. assign V346469 = V454320. assign V628181 = V856648. assign V441784 = V699101 + 1. assign V485949 = V588080 - 1. assign V622331 = V939685 - 1. assign V758538 = V239669. assign V454320 = V233264 + 1. assign V556607 = V047738 - 1. assign V105971 = V311266 - 1. assign V575901 = V121099. assign V467046 = V760520 + 1. assign V341976 = V872650 + 1. assign V394990 = V106351 - 1. assign V191200 = V658130 - 1. assign V051275 = V811786 + 1. assign V565756 = V256330 + 1. assign V818754 = V556607 - 1. assign V310639 = V719106 + 1. assign V736795 = V965935. assign V233264 = V447219 + 1. assign V944416 = V074224 + 1. assign V965935 = V667976. assign V129536 = V593476. assign V247133 = V054380 - 1. assign V982849 = V334195 - 1. assign V185804 = V106351 - 1. assign V189016 = V239669. assign V180998 = V609453. assign V712776 = V043215. assign V553279 = V715677. assign V698425 = V104455 - 1. assign V624199 = V466801 - 1. assign V776497 = V239363 + 1. assign V554031 = V906721 + 1. assign V198875 = V189016 + 1. assign V939685 = V676249. assign V258755 = V718245 - 1. assign V256330 = V017407 + 1. assign V628518 = V182390 + 1. assign V920486 = V346469 + 1. assign V871575 = V473153. assign V293361 = V239584 + 1. assign V567110 = V500753 + 1. assign V427088 = V147988 - 1. assign V593057 = V117162 - 1. assign V036948 = V304494. assign V101518 = V315724. assign V760520 = V472726 + 1. assign V898206 = V047738. assign V635403 = V853390 - 1. assign V955607 = V856648. assign V727126 = V047738 - 1. assign V622906 = V593476. assign V719106 = V522864. assign V306998 = V641636 - 1. assign V262115 = V847101 - 1. assign V022767 = V346469. assign V635057 = V667976 - 1. assign V747863 = V647962 - 1. assign V334040 = V466801 + 1. assign V104421 = V219880 - 1. assign V110012 = V851339 - 1. assign V544089 = V494912. assign V239669 = V985314 - 1. assign V088123 = V747863 - 1. assign V182620 = V672315. assign V239584 = V621754 - 1. assign V609004 = V839369 - 1. assign V839928 = V442561. assign V256834 = V473643 - 1. assign V907344 = V751859 + 1. assign V578948 = V237469 + 1. assign V089434 = V849416. assign V904905 = V698425 - 1. assign V885783 = V785790 - 1. assign V617087 = V239584. assign V663791 = V472726 - 1. assign V223561 = V818754. assign V666440 = V077367 - 1. assign V573601 = V364428 + 1. assign V879222 = V104455 + 1. assign V411271 = V129536 + 1. assign V785530 = V246833 + 1. assign V609453 = V920315. assign V047738 = V040463 + 1. assign V676249 = V851339. assign V256196 = V622906 - 1. assign V182390 = V872650 + 1. assign V482580 = V466801 + 1. assign V938713 = V304494 - 1. assign V017407 = V335911 - 1. assign V811786 = V473153 - 1. assign V182597 = V239584. assign V531055 = V647962 - 1. assign V649665 = V362432 - 1. assign V688374 = V473643. assign V715677 = V233264 + 1. assign V867584 = V338223. assign V474508 = V147988 + 1. assign V256491 = V182390 + 1. assign V699216 = V040463 + 1. assign V531171 = V394990 + 1. assign V319233 = V674948 - 1. assign V150587 = V035750. assign V407464 = V735375 - 1. assign V509772 = V847101. assign V591038 = V266358 - 1. assign V967409 = V871575 - 1. assign V106351 = V350536 + 1. assign V617190 = V617087. assign V267000 = V147988. assign V706391 = V736795 - 1. assign V687394 = V259587. assign V852067 = V104455. assign V768398 = V916106 - 1. assign V564673 = V017407 - 1. assign V657754 = V761577 + 1. assign V535269 = V811786 - 1. assign V291099 = V454320. assign V706588 = V463044. assign V447219 = V266358 - 1. assign V435812 = V527376. assign V691705 = V699216. assign V181159 = V180998 - 1. assign V960678 = V764025. assign V117162 = V904284 + 1. assign V861232 = V904905. assign V127310 = V858450. assign V770307 = V562052 + 1. assign V051566 = V400296 + 1. assign V362432 = V562052 - 1. assign V080792 = V674948 + 1. assign V647962 = V681784 - 1. assign V688194 = V867584 - 1. assign V246833 = V916106 - 1. assign V058175 = V554031 - 1. assign V918875 = V879222 - 1. assign V447971 = V260077. assign V933264 = V727126. assign V593476 = V846487 + 1. assign V168773 = V593020. assign V556135 = V182597 + 1. assign V054380 = V823666 + 1. assign V328838 = V260357 - 1. assign V876651 = V835423. assign V810758 = V808031. assign V131941 = V938713 - 1. assign V032794 = V747863 + 1. assign V581803 = V142544 - 1. assign V979270 = V074224 - 1. assign V266382 = V847101. assign V472726 = V562052 + 1. assign V500753 = V473153 - 1. assign V396329 = V047131 - 1. assign V313217 = V939711 - 1. assign V832058 = V056898 + 1. assign V960929 = V142544 + 1. assign V792854 = V142544 + 1. assign V395181 = V048271. assign V623617 = V647962 - 1. assign V343982 = V933264. assign V812605 = V056898 - 1. assign V183874 = V916106 - 1. assign V362757 = V284138 + 1. assign V365720 = V233264 - 1. assign V439376 = V466801. assign V042304 = V447219 - 1. assign V822533 = V266358. assign V735375 = V509772 - 1. assign V043029 = V883067. assign V601917 = V043029. assign V799986 = V237469. assign V918787 = V089434 + 1. assign V468385 = V441784. assign V582663 = V760520. assign V846134 = V727126 - 1. assign V274865 = V040463 + 1. assign V789266 = V699216. assign V492521 = V637912. assign V334195 = V182597 - 1. assign V209584 = V593020 + 1. assign V699101 = V473153 - 1. assign V088591 = V259954. assign V832090 = V810758 - 1. assign V642201 = V400296 - 1. assign V920315 = V338223. assign V400296 = V698425 - 1. assign V557477 = V581803 + 1. assign V985314 = V335911 + 1. assign V152506 = V904284. assign V010316 = V364428. assign V594936 = V237469 - 1. assign V936601 = V129536 + 1. assign V074224 = V847101. assign V906721 = V856648 + 1. assign V492491 = V419932 + 1. assign V764901 = V835423. assign V366339 = V522864. assign V659598 = V556607. assign V997563 = V687394. assign V517684 = V672315 - 1. assign V674948 = V266358. assign V628100 = V260077 - 1. assign V035750 = V764025 - 1. assign V512599 = V581803 - 1. assign V077367 = V463044 + 1. assign V853390 = V419932 - 1. assign V142544 = V847101 - 1. assign V839369 = V362432 - 1. assign V176437 = V748782 - 1. assign V334346 = V509149 + 1. assign V729314 = V509149 - 1. assign V171563 = V394990 + 1. assign V237469 = V509772 + 1. assign V362387 = V760520 - 1. assign V814541 = V983665 + 1. assign V988423 = V051275. assign V466801 = V266358 - 1. assign V002639 = V849416 - 1. assign V329945 = V810758. assign V674962 = V641636.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV517719 = 8;\n\nFrom these direct assignment(s), we have: \nV350536 = V517719 = 8;\nV106351 = V350536 + 1 = 8 + 1 =9;\nV185804 = V106351 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V185804;\nV394990 = V106351 - 1 = 9 - 1 =8;\nV171563 = V394990 + 1 = 8 + 1 =9;\nV048139 = V171563 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V048139;\nNo other varaibles can be derived from V171563;\nV531171 = V394990 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V531171;\nNo other varaibles can be derived from V394990;\nV731971 = V106351 = 9;\nNo other varaibles can be derived from V731971;\nNo other varaibles can be derived from V106351;\nV553297 = V350536 = 8;\nNo other varaibles can be derived from V553297;\nNo other varaibles can be derived from V350536;\nNo other varaibles can be derived from V517719;\n\nNow we have done all the calculations. Derived variables are:\nV517719 = 8;\nV350536 = 8;\nV106351 = 9;\nV185804 = 8;\nV394990 = 8;\nV171563 = 9;\nV048139 = 10;\nV531171 = 9;\nV731971 = 9;\nV553297 = 8;\n\nNow we have finished this problem. ANSWER:\nV106351, V171563, V531171, V731971\n", "role": "assistant" } ]

[ "V806455", "V591639", "V139818", "V147725", "V132884", "V524192" ]

[ { "content": "<context>\nassign V036471 = V003439. assign V662901 = V730361 + 1. assign V228512 = V113516. assign V571680 = V830025. assign V300391 = V810429 - 1. assign V518934 = V487682 + 1. assign V080628 = V113516. assign V564873 = V389113. assign V846130 = V038947 - 1. assign V009080 = V704983. assign V705175 = V167750 - 1. assign V586294 = V778328 + 1. assign V656116 = V033762 - 1. assign V448481 = V611755 + 1. assign V181769 = V372872. assign V252884 = V017378. assign V520870 = V500340. assign V858026 = V300391 - 1. assign V205533 = V146518 + 1. assign V982441 = V994816 + 1. assign V028670 = V917129 + 1. assign V872627 = V576714. assign V545678 = V844856 - 1. assign V869241 = V884060 + 1. assign V453135 = V891437. assign V107877 = V694937 - 1. assign V584288 = V793350. assign V224980 = V389113 + 1. assign V204975 = V114779. assign V051189 = V104120 - 1. assign V769512 = V482261 - 1. assign V843199 = V369512 + 1. assign V492885 = V463397 - 1. assign V909843 = V738504 + 1. assign V994816 = V881589 + 1. assign V620760 = V668821 + 1. assign V532150 = V356390. assign V338574 = V809252. assign V252583 = V695969 + 1. assign V213257 = V463815. assign V886924 = V580246 + 1. assign V369944 = V369512 + 1. assign V104120 = V339095 - 1. assign V532782 = V464761. assign V571686 = V446779 - 1. assign V171069 = V433163. assign V525311 = V809252 + 1. assign V805203 = V454874. assign V042544 = V545678 - 1. assign V150292 = V824140. assign V580246 = V464761 - 1. assign V240366 = V453135 + 1. assign V149422 = V982441. assign V795821 = V113516. assign V730361 = V891437 - 1. assign V360372 = V795821 - 1. assign V315678 = V113516. assign V132884 = V147725. assign V834882 = V194622. assign V103011 = V487682. assign V308912 = V824140 + 1. assign V812241 = V186222. assign V504304 = V886924 + 1. assign V677764 = V146518. assign V094010 = V580246 + 1. assign V852862 = V693233 - 1. assign V854183 = V114779 + 1. assign V026097 = V591714 - 1. assign V055989 = V253132 + 1. assign V080917 = V562263 + 1. assign V061675 = V809252 - 1. assign V821995 = V648510 + 1. assign V858162 = V984179 - 1. assign V704983 = V525311 + 1. assign V668821 = V752416 + 1. assign V860099 = V795821 - 1. assign V339095 = V994816. assign V017378 = V668821 - 1. assign V810429 = V881589. assign V206698 = V862891 + 1. assign V487682 = V464761. assign V694937 = V891437 + 1. assign V653461 = V852053 + 1. assign V139818 = V591639. assign V124728 = V446779. assign V356390 = V844856 - 1. assign V678249 = V433163 - 1. assign V543807 = V829482 + 1. assign V186222 = V003439 + 1. assign V640869 = V066495 - 1. assign V827059 = V584288 - 1. assign V177826 = V066495 - 1. assign V363721 = V724049. assign V433163 = V580246 + 1. assign V877730 = V668821. assign V116769 = V009080. assign V848377 = V640869 - 1. assign V357628 = V033762 - 1. assign V654715 = V693233 + 1. assign V113302 = V476634. assign V524192 = V591639. assign V266291 = V066495. assign V992639 = V562022. assign V850915 = V033762 + 1. assign V257079 = V530787 - 1. assign V637673 = V854183 - 1. assign V853047 = V464761 + 1. assign V642479 = V886540 - 1. assign V394708 = V446779 + 1. assign V943218 = V389113 + 1. assign V923135 = V285237 + 1. assign V130160 = V275577 - 1. assign V973111 = V920605. assign V440232 = V464761. assign V404672 = V830025. assign V469969 = V638668. assign V884278 = V515169. assign V060160 = V161928 - 1. assign V435997 = V654715 - 1. assign V814367 = V809252 + 1. assign V114779 = V752416. assign V431564 = V347345. assign V267057 = V918059. assign V464761 = V114779. assign V885180 = V793350 + 1. assign V011656 = V075233 - 1. assign V565379 = V877076. assign V113516 = V012299 - 1. assign V562263 = V080872. assign V984708 = V167750. assign V794657 = V189300 - 1. assign V765123 = V518934 - 1. assign V684131 = V852053 + 1. assign V761325 = V356390. assign V862891 = V300391 - 1. assign V035530 = V602316. assign V840636 = V814367 - 1. assign V012299 = V994816 - 1. assign V776199 = V482261 + 1. assign V432049 = V080872 + 1. assign V793350 = V848377 - 1. assign V089825 = V077141 + 1. assign V183614 = V089825 - 1. assign V444468 = V305869. assign V776617 = V053584 + 1. assign V577612 = V285237 - 1. assign V588701 = V114779. assign V004189 = V884060. assign V246450 = V033762 + 1. assign V365150 = V844856. assign V009611 = V113516 + 1. assign V415660 = V074223 + 1. assign V609564 = V640319 + 1. assign V891770 = V545678 + 1. assign V715724 = V500340 + 1. assign V275577 = V571686 - 1. assign V545917 = V588701 - 1. assign V724049 = V351039 + 1. assign V868114 = V003439 - 1. assign V984287 = V848377 + 1. assign V463397 = V891437 - 1. assign V576714 = V113302. assign V334144 = V136113 + 1. assign V690975 = V433644. assign V611755 = V638668 + 1. assign V513805 = V515169 + 1. assign V328903 = V482261. assign V389113 = V814367 - 1. assign V081263 = V812241. assign V003439 = V965808 - 1. assign V347345 = V996428 - 1. assign V346896 = V932908. assign V678153 = V300391. assign V577471 = V853047 - 1. assign V507582 = V810429 - 1. assign V530787 = V204975 + 1. assign V860849 = V752416 - 1. assign V932908 = V530787 + 1. assign V430893 = V886924 + 1. assign V038947 = V515169 - 1. assign V305869 = V887908. assign V916816 = V194622 - 1. assign V261489 = V830025 - 1. assign V422337 = V752416 + 1. assign V476634 = V562263 + 1. assign V986900 = V051189. assign V463815 = V369512. assign V146518 = V830025. assign V877076 = V860849 + 1. assign V634783 = V982441 - 1. assign V844856 = V389113 - 1. assign V978462 = V814367. assign V285237 = V994816 - 1. assign V396794 = V186222. assign V369512 = V850915. assign V066495 = V668821. assign V500340 = V194622 - 1. assign V886540 = V555165. assign V075233 = V432049. assign V978259 = V642479. assign V447910 = V075233 - 1. assign V516227 = V812241 + 1. assign V446779 = V996428. assign V920605 = V917129 + 1. assign V917129 = V432049 - 1. assign V829482 = V806455 + 1. assign V253132 = V003439 + 1. assign V784169 = V952163. assign V535453 = V843199 - 1. assign V367245 = V656116. assign V640319 = V104120 + 1. assign V695969 = V464761 + 1. assign V889514 = V432049 + 1. assign V243538 = V285237 - 1. assign V799216 = V033762 + 1. assign V121506 = V937881 - 1. assign V706721 = V132884 + 1. assign V385615 = V653461 - 1. assign V952163 = V500340. assign V478990 = V053123. assign V556394 = V124728. assign V848605 = V389113 - 1. assign V972475 = V104120. assign V693233 = V482261. assign V159888 = V415660 - 1. assign V147725 = V591639. assign V887908 = V351039. assign V644430 = V139818 + 1. assign V956604 = V146518 - 1. assign V965177 = V620760 - 1. assign V090838 = V693233 + 1. assign V430069 = V369512 + 1. assign V802578 = V171069 - 1. assign V638668 = V102882 + 1. assign V349288 = V003439. assign V167750 = V363721 - 1. assign V080872 = V351039. assign V363017 = V053584 - 1. assign V891437 = V752416 + 1. assign V996428 = V860849 - 1. assign V102882 = V996428 - 1. assign V609139 = V853047. assign V591714 = V369512 + 1. assign V433008 = V513805. assign V405898 = V794657 - 1. assign V182423 = V150292. assign V136113 = V891437. assign V738504 = V978259 - 1. assign V427520 = V363721 + 1. assign V846162 = V769512. assign V873902 = V532150. assign V659828 = V545678. assign V350057 = V666774 - 1. assign V351039 = V102882 - 1. assign V225939 = V476634 - 1. assign V416087 = V363017. assign V328409 = V171069 - 1. assign V208162 = V407185. assign V279601 = V657034 + 1. assign V719223 = V107877 + 1. assign V881589 = V464761 + 1. assign V145975 = V992639 + 1. assign V078641 = V814367 - 1. assign V809252 = V694937 + 1. assign V984179 = V580246 + 1. assign V002224 = V103011. assign V810435 = V104120 + 1. assign V087966 = V001995 - 1. assign V666774 = V586294 + 1. assign V276034 = V662901 - 1. assign V205086 = V571686 - 1. assign V147505 = V656330. assign V971180 = V793350. assign V688771 = V769512 - 1. assign V244847 = V965177 - 1. assign V868499 = V357628. assign V555165 = V275577 + 1. assign V772790 = V848377 + 1. assign V606546 = V793350 - 1. assign V278525 = V668821 - 1. assign V841351 = V525311 + 1. assign V830025 = V204975. assign V951338 = V114779 - 1. assign V425971 = V545678 + 1. assign V927566 = V591714 + 1. assign V227335 = V518934 - 1. assign V602316 = V146518. assign V875465 = V186222 - 1. assign V085540 = V793350 - 1. assign V214174 = V609564. assign V194622 = V656116 - 1. assign V301952 = V113302 - 1. assign V264652 = V431564 + 1. assign V786321 = V205533. assign V655161 = V971180 + 1. assign V487302 = V078641 + 1. assign V319014 = V994816. assign V884060 = V844856. assign V407185 = V810429 - 1. assign V074223 = V887908 + 1. assign V965808 = V730361. assign V161928 = V454874 - 1. assign V929213 = V194622 + 1. assign V433644 = V433008 + 1. assign V108820 = V300391 + 1. assign V053123 = V275577 + 1. assign V908743 = V308912 + 1. assign V541259 = V853047 + 1. assign V529915 = V224980 + 1. assign V001995 = V224980 - 1. assign V180112 = V357628. assign V372872 = V730361 + 1. assign V699525 = V776617 - 1. assign V007331 = V204975. assign V036347 = V061675. assign V238170 = V061675 + 1. assign V190977 = V814367. assign V787073 = V504304 - 1. assign V657034 = V877076. assign V185075 = V868499 - 1. assign V918059 = V853047. assign V096621 = V809252 - 1. assign V617186 = V440232. assign V077141 = V338574. assign V189300 = V369512. assign V722992 = V431564 + 1. assign V806455 = 8. assign V562022 = V725028 + 1. assign V937881 = V848377 - 1. assign V573526 = V276034 + 1. assign V591639 = V806455. assign V725028 = V996428 - 1. assign V280717 = V887908 - 1. assign V656330 = V793350 - 1. assign V448193 = V446779 + 1. assign V578115 = V982441. assign V852053 = V810429 + 1. assign V266044 = V724049 - 1. assign V855901 = V809252 + 1. assign V778328 = V678153 - 1. assign V454874 = V844856 + 1. assign V648510 = V482261 - 1. assign V033762 = V114779 - 1. assign V355374 = V809252. assign V482261 = V351039. assign V824140 = V078641 + 1. assign V146046 = V351039 - 1. assign V521536 = V446779 + 1. assign V053584 = V877076. assign V515169 = V881589 - 1. assign V943609 = V677764.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V036471 = V003439. assign V662901 = V730361 + 1. assign V228512 = V113516. assign V571680 = V830025. assign V300391 = V810429 - 1. assign V518934 = V487682 + 1. assign V080628 = V113516. assign V564873 = V389113. assign V846130 = V038947 - 1. assign V009080 = V704983. assign V705175 = V167750 - 1. assign V586294 = V778328 + 1. assign V656116 = V033762 - 1. assign V448481 = V611755 + 1. assign V181769 = V372872. assign V252884 = V017378. assign V520870 = V500340. assign V858026 = V300391 - 1. assign V205533 = V146518 + 1. assign V982441 = V994816 + 1. assign V028670 = V917129 + 1. assign V872627 = V576714. assign V545678 = V844856 - 1. assign V869241 = V884060 + 1. assign V453135 = V891437. assign V107877 = V694937 - 1. assign V584288 = V793350. assign V224980 = V389113 + 1. assign V204975 = V114779. assign V051189 = V104120 - 1. assign V769512 = V482261 - 1. assign V843199 = V369512 + 1. assign V492885 = V463397 - 1. assign V909843 = V738504 + 1. assign V994816 = V881589 + 1. assign V620760 = V668821 + 1. assign V532150 = V356390. assign V338574 = V809252. assign V252583 = V695969 + 1. assign V213257 = V463815. assign V886924 = V580246 + 1. assign V369944 = V369512 + 1. assign V104120 = V339095 - 1. assign V532782 = V464761. assign V571686 = V446779 - 1. assign V171069 = V433163. assign V525311 = V809252 + 1. assign V805203 = V454874. assign V042544 = V545678 - 1. assign V150292 = V824140. assign V580246 = V464761 - 1. assign V240366 = V453135 + 1. assign V149422 = V982441. assign V795821 = V113516. assign V730361 = V891437 - 1. assign V360372 = V795821 - 1. assign V315678 = V113516. assign V132884 = V147725. assign V834882 = V194622. assign V103011 = V487682. assign V308912 = V824140 + 1. assign V812241 = V186222. assign V504304 = V886924 + 1. assign V677764 = V146518. assign V094010 = V580246 + 1. assign V852862 = V693233 - 1. assign V854183 = V114779 + 1. assign V026097 = V591714 - 1. assign V055989 = V253132 + 1. assign V080917 = V562263 + 1. assign V061675 = V809252 - 1. assign V821995 = V648510 + 1. assign V858162 = V984179 - 1. assign V704983 = V525311 + 1. assign V668821 = V752416 + 1. assign V860099 = V795821 - 1. assign V339095 = V994816. assign V017378 = V668821 - 1. assign V810429 = V881589. assign V206698 = V862891 + 1. assign V487682 = V464761. assign V694937 = V891437 + 1. assign V653461 = V852053 + 1. assign V139818 = V591639. assign V124728 = V446779. assign V356390 = V844856 - 1. assign V678249 = V433163 - 1. assign V543807 = V829482 + 1. assign V186222 = V003439 + 1. assign V640869 = V066495 - 1. assign V827059 = V584288 - 1. assign V177826 = V066495 - 1. assign V363721 = V724049. assign V433163 = V580246 + 1. assign V877730 = V668821. assign V116769 = V009080. assign V848377 = V640869 - 1. assign V357628 = V033762 - 1. assign V654715 = V693233 + 1. assign V113302 = V476634. assign V524192 = V591639. assign V266291 = V066495. assign V992639 = V562022. assign V850915 = V033762 + 1. assign V257079 = V530787 - 1. assign V637673 = V854183 - 1. assign V853047 = V464761 + 1. assign V642479 = V886540 - 1. assign V394708 = V446779 + 1. assign V943218 = V389113 + 1. assign V923135 = V285237 + 1. assign V130160 = V275577 - 1. assign V973111 = V920605. assign V440232 = V464761. assign V404672 = V830025. assign V469969 = V638668. assign V884278 = V515169. assign V060160 = V161928 - 1. assign V435997 = V654715 - 1. assign V814367 = V809252 + 1. assign V114779 = V752416. assign V431564 = V347345. assign V267057 = V918059. assign V464761 = V114779. assign V885180 = V793350 + 1. assign V011656 = V075233 - 1. assign V565379 = V877076. assign V113516 = V012299 - 1. assign V562263 = V080872. assign V984708 = V167750. assign V794657 = V189300 - 1. assign V765123 = V518934 - 1. assign V684131 = V852053 + 1. assign V761325 = V356390. assign V862891 = V300391 - 1. assign V035530 = V602316. assign V840636 = V814367 - 1. assign V012299 = V994816 - 1. assign V776199 = V482261 + 1. assign V432049 = V080872 + 1. assign V793350 = V848377 - 1. assign V089825 = V077141 + 1. assign V183614 = V089825 - 1. assign V444468 = V305869. assign V776617 = V053584 + 1. assign V577612 = V285237 - 1. assign V588701 = V114779. assign V004189 = V884060. assign V246450 = V033762 + 1. assign V365150 = V844856. assign V009611 = V113516 + 1. assign V415660 = V074223 + 1. assign V609564 = V640319 + 1. assign V891770 = V545678 + 1. assign V715724 = V500340 + 1. assign V275577 = V571686 - 1. assign V545917 = V588701 - 1. assign V724049 = V351039 + 1. assign V868114 = V003439 - 1. assign V984287 = V848377 + 1. assign V463397 = V891437 - 1. assign V576714 = V113302. assign V334144 = V136113 + 1. assign V690975 = V433644. assign V611755 = V638668 + 1. assign V513805 = V515169 + 1. assign V328903 = V482261. assign V389113 = V814367 - 1. assign V081263 = V812241. assign V003439 = V965808 - 1. assign V347345 = V996428 - 1. assign V346896 = V932908. assign V678153 = V300391. assign V577471 = V853047 - 1. assign V507582 = V810429 - 1. assign V530787 = V204975 + 1. assign V860849 = V752416 - 1. assign V932908 = V530787 + 1. assign V430893 = V886924 + 1. assign V038947 = V515169 - 1. assign V305869 = V887908. assign V916816 = V194622 - 1. assign V261489 = V830025 - 1. assign V422337 = V752416 + 1. assign V476634 = V562263 + 1. assign V986900 = V051189. assign V463815 = V369512. assign V146518 = V830025. assign V877076 = V860849 + 1. assign V634783 = V982441 - 1. assign V844856 = V389113 - 1. assign V978462 = V814367. assign V285237 = V994816 - 1. assign V396794 = V186222. assign V369512 = V850915. assign V066495 = V668821. assign V500340 = V194622 - 1. assign V886540 = V555165. assign V075233 = V432049. assign V978259 = V642479. assign V447910 = V075233 - 1. assign V516227 = V812241 + 1. assign V446779 = V996428. assign V920605 = V917129 + 1. assign V917129 = V432049 - 1. assign V829482 = V806455 + 1. assign V253132 = V003439 + 1. assign V784169 = V952163. assign V535453 = V843199 - 1. assign V367245 = V656116. assign V640319 = V104120 + 1. assign V695969 = V464761 + 1. assign V889514 = V432049 + 1. assign V243538 = V285237 - 1. assign V799216 = V033762 + 1. assign V121506 = V937881 - 1. assign V706721 = V132884 + 1. assign V385615 = V653461 - 1. assign V952163 = V500340. assign V478990 = V053123. assign V556394 = V124728. assign V848605 = V389113 - 1. assign V972475 = V104120. assign V693233 = V482261. assign V159888 = V415660 - 1. assign V147725 = V591639. assign V887908 = V351039. assign V644430 = V139818 + 1. assign V956604 = V146518 - 1. assign V965177 = V620760 - 1. assign V090838 = V693233 + 1. assign V430069 = V369512 + 1. assign V802578 = V171069 - 1. assign V638668 = V102882 + 1. assign V349288 = V003439. assign V167750 = V363721 - 1. assign V080872 = V351039. assign V363017 = V053584 - 1. assign V891437 = V752416 + 1. assign V996428 = V860849 - 1. assign V102882 = V996428 - 1. assign V609139 = V853047. assign V591714 = V369512 + 1. assign V433008 = V513805. assign V405898 = V794657 - 1. assign V182423 = V150292. assign V136113 = V891437. assign V738504 = V978259 - 1. assign V427520 = V363721 + 1. assign V846162 = V769512. assign V873902 = V532150. assign V659828 = V545678. assign V350057 = V666774 - 1. assign V351039 = V102882 - 1. assign V225939 = V476634 - 1. assign V416087 = V363017. assign V328409 = V171069 - 1. assign V208162 = V407185. assign V279601 = V657034 + 1. assign V719223 = V107877 + 1. assign V881589 = V464761 + 1. assign V145975 = V992639 + 1. assign V078641 = V814367 - 1. assign V809252 = V694937 + 1. assign V984179 = V580246 + 1. assign V002224 = V103011. assign V810435 = V104120 + 1. assign V087966 = V001995 - 1. assign V666774 = V586294 + 1. assign V276034 = V662901 - 1. assign V205086 = V571686 - 1. assign V147505 = V656330. assign V971180 = V793350. assign V688771 = V769512 - 1. assign V244847 = V965177 - 1. assign V868499 = V357628. assign V555165 = V275577 + 1. assign V772790 = V848377 + 1. assign V606546 = V793350 - 1. assign V278525 = V668821 - 1. assign V841351 = V525311 + 1. assign V830025 = V204975. assign V951338 = V114779 - 1. assign V425971 = V545678 + 1. assign V927566 = V591714 + 1. assign V227335 = V518934 - 1. assign V602316 = V146518. assign V875465 = V186222 - 1. assign V085540 = V793350 - 1. assign V214174 = V609564. assign V194622 = V656116 - 1. assign V301952 = V113302 - 1. assign V264652 = V431564 + 1. assign V786321 = V205533. assign V655161 = V971180 + 1. assign V487302 = V078641 + 1. assign V319014 = V994816. assign V884060 = V844856. assign V407185 = V810429 - 1. assign V074223 = V887908 + 1. assign V965808 = V730361. assign V161928 = V454874 - 1. assign V929213 = V194622 + 1. assign V433644 = V433008 + 1. assign V108820 = V300391 + 1. assign V053123 = V275577 + 1. assign V908743 = V308912 + 1. assign V541259 = V853047 + 1. assign V529915 = V224980 + 1. assign V001995 = V224980 - 1. assign V180112 = V357628. assign V372872 = V730361 + 1. assign V699525 = V776617 - 1. assign V007331 = V204975. assign V036347 = V061675. assign V238170 = V061675 + 1. assign V190977 = V814367. assign V787073 = V504304 - 1. assign V657034 = V877076. assign V185075 = V868499 - 1. assign V918059 = V853047. assign V096621 = V809252 - 1. assign V617186 = V440232. assign V077141 = V338574. assign V189300 = V369512. assign V722992 = V431564 + 1. assign V806455 = 8. assign V562022 = V725028 + 1. assign V937881 = V848377 - 1. assign V573526 = V276034 + 1. assign V591639 = V806455. assign V725028 = V996428 - 1. assign V280717 = V887908 - 1. assign V656330 = V793350 - 1. assign V448193 = V446779 + 1. assign V578115 = V982441. assign V852053 = V810429 + 1. assign V266044 = V724049 - 1. assign V855901 = V809252 + 1. assign V778328 = V678153 - 1. assign V454874 = V844856 + 1. assign V648510 = V482261 - 1. assign V033762 = V114779 - 1. assign V355374 = V809252. assign V482261 = V351039. assign V824140 = V078641 + 1. assign V146046 = V351039 - 1. assign V521536 = V446779 + 1. assign V053584 = V877076. assign V515169 = V881589 - 1. assign V943609 = V677764.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV806455 = 8;\n\nFrom these direct assignment(s), we have: \nV591639 = V806455 = 8;\nV147725 = V591639 = 8;\nV132884 = V147725 = 8;\nV706721 = V132884 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V706721;\nNo other varaibles can be derived from V132884;\nNo other varaibles can be derived from V147725;\nV524192 = V591639 = 8;\nNo other varaibles can be derived from V524192;\nV139818 = V591639 = 8;\nV644430 = V139818 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V644430;\nNo other varaibles can be derived from V139818;\nNo other varaibles can be derived from V591639;\nV829482 = V806455 + 1 = 8 + 1 =9;\nV543807 = V829482 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V543807;\nNo other varaibles can be derived from V829482;\nNo other varaibles can be derived from V806455;\n\nNow we have done all the calculations. Derived variables are:\nV806455 = 8;\nV591639 = 8;\nV147725 = 8;\nV132884 = 8;\nV706721 = 9;\nV524192 = 8;\nV139818 = 8;\nV644430 = 9;\nV829482 = 9;\nV543807 = 10;\n\nNow we have finished this problem. ANSWER:\nV806455, V591639, V147725, V132884, V524192, V139818\n", "role": "assistant" } ]

[ "V029141", "V588208", "V788174" ]

[ { "content": "<context>\nassign V895086 = V977398. assign V501552 = V071829 + 1. assign V633216 = V198834 + 1. assign V688355 = V030569 - 1. assign V977398 = V581003 - 1. assign V344164 = V581003 - 1. assign V144583 = V038637. assign V217492 = V083708 + 1. assign V927283 = V301644 + 1. assign V435672 = V027651 - 1. assign V892233 = V827792 - 1. assign V414684 = V162360 + 1. assign V147479 = V027651 - 1. assign V255066 = V715684 - 1. assign V811502 = V749357 + 1. assign V293264 = V675514. assign V383753 = V071829 + 1. assign V743149 = V376443 + 1. assign V246749 = V874183 - 1. assign V822270 = V532926 - 1. assign V569073 = V071829 - 1. assign V774478 = V957228 - 1. assign V153985 = V206724 - 1. assign V860212 = V590269 - 1. assign V158683 = V452106 + 1. assign V122683 = V282588 - 1. assign V639355 = V986338 - 1. assign V653219 = V075320 - 1. assign V373395 = V276584 - 1. assign V820934 = V874183 + 1. assign V839536 = V957228 - 1. assign V171479 = V568803 + 1. assign V509099 = V162360 + 1. assign V398974 = V041696. assign V998855 = V403212 - 1. assign V361822 = V805005 + 1. assign V613898 = V055064 + 1. assign V510256 = V452106 - 1. assign V990140 = V395163. assign V935141 = V821091 - 1. assign V162360 = V994438 + 1. assign V541116 = V227096 - 1. assign V716537 = V590269 - 1. assign V515874 = V030569 - 1. assign V266142 = V874183. assign V785214 = V563946 - 1. assign V566564 = V765217 + 1. assign V570432 = V295285 + 1. assign V785237 = V938417. assign V648775 = V082264 + 1. assign V691999 = V069908. assign V858054 = V452106. assign V837662 = V813245. assign V986338 = V304520 + 1. assign V606313 = V814206 + 1. assign V255944 = V988057 - 1. assign V284313 = V548321 - 1. assign V309638 = V910082. assign V588086 = V738205 - 1. assign V783684 = V149426. assign V247304 = V988057 - 1. assign V411658 = V576162 - 1. assign V378829 = V622308. assign V710470 = V827524 + 1. assign V947635 = V471810. assign V922029 = V064257. assign V365870 = V358035 - 1. assign V281338 = V372292. assign V023784 = V266142. assign V452106 = V234079 + 1. assign V306355 = V749357 - 1. assign V939242 = V579093. assign V604681 = V358035 - 1. assign V452505 = V883478 + 1. assign V107013 = V345934. assign V346689 = V255066 - 1. assign V532926 = V030569 + 1. assign V717080 = V695707. assign V948527 = V030569 - 1. assign V396629 = V703398. assign V320960 = V055064. assign V915016 = V693849 + 1. assign V723259 = V813245 + 1. assign V209401 = V576162 - 1. assign V581003 = V311715 + 1. assign V145020 = V452106 - 1. assign V525962 = V171479. assign V386083 = V265817 - 1. assign V198333 = V360162. assign V938417 = V053207 - 1. assign V883142 = V972702 - 1. assign V079676 = V029537. assign V887667 = V628184. assign V671063 = V417247 - 1. assign V814128 = V014286. assign V800616 = V251548 + 1. assign V106256 = V014286 - 1. assign V930322 = V054578 + 1. assign V595387 = V611482 + 1. assign V401338 = V301644 - 1. assign V062375 = V662363 - 1. assign V973204 = V568023. assign V260776 = V041696 - 1. assign V788174 = V588208. assign V549508 = V289298 - 1. assign V232606 = V883478 - 1. assign V321211 = V069908. assign V601049 = V083708. assign V214324 = V234947. assign V295285 = V162360. assign V551269 = V008467 - 1. assign V276584 = V947635 - 1. assign V522627 = V398974 - 1. assign V825510 = V349347 - 1. assign V273361 = V145020. assign V010366 = V296679 + 1. assign V474720 = V266142 - 1. assign V463638 = V856300. assign V716433 = V703398. assign V449022 = V874183. assign V579093 = V569073 + 1. assign V700727 = V414684. assign V492097 = V499752 - 1. assign V720752 = V376443. assign V588208 = V033732 + 1. assign V524808 = V528823. assign V607881 = V486145. assign V403583 = V716294 + 1. assign V486145 = V403212 + 1. assign V563946 = V662363 - 1. assign V277735 = V947635 + 1. assign V705074 = V431557 + 1. assign V462655 = V933586 + 1. assign V083708 = V622308 + 1. assign V028097 = V452106 + 1. assign V611482 = V122683. assign V345934 = V147479 - 1. assign V838489 = V200637 - 1. assign V910082 = V041696 + 1. assign V404688 = V449022. assign V915103 = V027651. assign V301644 = V162360 + 1. assign V769021 = V604681. assign V499752 = V311715 - 1. assign V577485 = V403212 + 1. assign V621307 = V266142. assign V265817 = V266142 + 1. assign V842210 = V282588 - 1. assign V821091 = V813245 + 1. assign V501421 = V827792. assign V852976 = V716294 - 1. assign V703398 = V356397 - 1. assign V752403 = V431557 - 1. assign V804625 = V246236. assign V113503 = V083708 + 1. assign V548321 = V858054 - 1. assign V474997 = V588208 - 1. assign V310195 = V361822 - 1. assign V957228 = V287981 + 1. assign V463047 = V709374 - 1. assign V709374 = V509099 - 1. assign V382785 = V041696. assign V014286 = V590269 + 1. assign V445603 = V304520 + 1. assign V765217 = V590269 + 1. assign V874183 = V590269 + 1. assign V201860 = V255944 + 1. assign V805005 = V281523 - 1. assign V493843 = V749357. assign V639804 = V144583. assign V573854 = V041696 + 1. assign V706101 = V402558 + 1. assign V246236 = V986338 + 1. assign V599221 = V530385 - 1. assign V819936 = V158683. assign V234947 = V378829 - 1. assign V290305 = V149426 - 1. assign V883478 = V827524. assign V066790 = V645837 - 1. assign V593887 = V774478 - 1. assign V007285 = V907116. assign V041696 = V234079 - 1. assign V902938 = V417247 + 1. assign V628184 = V217492 - 1. assign V481668 = V227096. assign V813657 = V029141 - 1. assign V663284 = V570432 - 1. assign V457144 = V014286 - 1. assign V361818 = V814128 - 1. assign V784781 = V474720. assign V920746 = V922029 - 1. assign V568023 = V595387. assign V636876 = V255066. assign V710329 = V362096 + 1. assign V338881 = V922029 + 1. assign V211157 = V277735 - 1. assign V655436 = V599221 - 1. assign V695707 = V265817. assign V064257 = V814206. assign V491767 = V361822 + 1. assign V080074 = V827792 - 1. assign V814206 = V365870 + 1. assign V239115 = V033732 - 1. assign V904015 = V503965. assign V227096 = V266142 + 1. assign V568803 = V304520 + 1. assign V296679 = V273361 - 1. assign V827792 = V255944 - 1. assign V801923 = V041696 - 1. assign V879916 = V633216 + 1. assign V693849 = V715684. assign V966135 = V192083 + 1. assign V738205 = V435672 - 1. assign V675514 = V356270. assign V622308 = V147479 - 1. assign V235198 = V033732. assign V503965 = V581003 - 1. assign V030569 = V977398 - 1. assign V029440 = V234947. assign V029233 = V858054. assign V004969 = V785214. assign V492341 = V528823. assign V183551 = V957228 - 1. assign V281523 = V266142 + 1. assign V200637 = V041696 - 1. assign V466945 = V947635 + 1. assign V356008 = V198333 + 1. assign V576162 = V541116 + 1. assign V791777 = V062375 + 1. assign V878995 = V923343 + 1. assign V149426 = V192083. assign V198834 = V765217 - 1. assign V471810 = V158683. assign V889701 = V281669 - 1. assign V698010 = V028097 - 1. assign V417247 = V106256 - 1. assign V004633 = V916235. assign V564262 = V994438 - 1. assign V000427 = V653219 + 1. assign V813245 = V282588. assign V933586 = V910082 + 1. assign V994438 = V265817. assign V421241 = V566564 - 1. assign V251548 = V695707 + 1. assign V028010 = V800616 - 1. assign V008467 = V902938 - 1. assign V311715 = V265817 + 1. assign V150151 = V662363. assign V420728 = V251548 - 1. assign V054578 = V255066 - 1. assign V362096 = V122683 - 1. assign V211361 = V358035 - 1. assign V155727 = V069908 + 1. assign V827524 = V360162. assign V890329 = V819936 + 1. assign V403212 = V158683 + 1. assign V011364 = V029141 + 1. assign V234079 = V551157 - 1. assign V082264 = V530385 - 1. assign V053207 = V874183 - 1. assign V289298 = V028097 - 1. assign V071829 = V183551. assign V358035 = V994438 + 1. assign V729056 = V923343 - 1. assign V587112 = V158683 + 1. assign V931233 = V395163 - 1. assign V376443 = V994438. assign V794628 = V290305 - 1. assign V249095 = V994438 + 1. assign V959629 = V404688 - 1. assign V875808 = V376443 - 1. assign V192083 = V915103 - 1. assign V090614 = V265817 - 1. assign V749715 = V769021. assign V457095 = V372292 + 1. assign V287981 = V474720 + 1. assign V038637 = V431557 + 1. assign V269341 = V879916 - 1. assign V282588 = V590269 - 1. assign V430425 = V149426 - 1. assign V551746 = V344164 - 1. assign V531613 = V568023. assign V902978 = V587112. assign V994622 = V306355 + 1. assign V069908 = V041696. assign V856300 = V027651 + 1. assign V749357 = V915103 - 1. assign V426025 = V251548. assign V055064 = V994438 + 1. assign V395163 = V509099. assign V169514 = V770025 + 1. assign V375303 = V590269 - 1. assign V033732 = 9. assign V899386 = V883478. assign V158093 = V581003 + 1. assign V270174 = V010366. assign V553117 = V029141 + 1. assign V907116 = V014286 - 1. assign V360162 = V122683 - 1. assign V349347 = V257448 - 1. assign V718579 = V358035 - 1. assign V632655 = V613898 - 1. assign V848892 = V910082. assign V356270 = V029233 + 1. assign V971371 = V287981 + 1. assign V770025 = V071829 + 1. assign V528823 = V530385 - 1. assign V381728 = V959629 + 1. assign V806896 = V082264 - 1. assign V376651 = V706101. assign V548587 = V463047 - 1. assign V027651 = V452106 + 1. assign V075320 = V994438 + 1. assign V372292 = V183551 - 1. assign V923343 = V403212 + 1. assign V968186 = V587112 + 1. assign V402558 = V200637. assign V530385 = V014286 + 1. assign V029537 = V695707 + 1. assign V294104 = V201860 + 1. assign V845435 = V988057 - 1. assign V101505 = V636876 - 1. assign V720511 = V607881 - 1. assign V916235 = V386083 + 1. assign V396704 = V590269 - 1. assign V281669 = V030569 + 1. assign V093647 = V028097. assign V645837 = V570432. assign V818603 = V524808. assign V618152 = V144583 - 1. assign V969178 = V027651 - 1. assign V662363 = V452106 - 1. assign V351150 = V541116 + 1. assign V078792 = V281523 - 1. assign V629689 = V296679. assign V988057 = V994438 + 1. assign V946388 = V801923 - 1. assign V971633 = V008467. assign V431557 = V452106 + 1. assign V029141 = V033732 + 1. assign V257448 = V078792. assign V716294 = V414684. assign V206724 = V541116 - 1. assign V972702 = V404688. assign V590269 = V145020 - 1. assign V715684 = V158683 - 1. assign V551725 = V688355 - 1. assign V100986 = V093647. assign V139972 = V075320 + 1. assign V356397 = V106256 - 1. assign V304520 = V564262 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V895086 = V977398. assign V501552 = V071829 + 1. assign V633216 = V198834 + 1. assign V688355 = V030569 - 1. assign V977398 = V581003 - 1. assign V344164 = V581003 - 1. assign V144583 = V038637. assign V217492 = V083708 + 1. assign V927283 = V301644 + 1. assign V435672 = V027651 - 1. assign V892233 = V827792 - 1. assign V414684 = V162360 + 1. assign V147479 = V027651 - 1. assign V255066 = V715684 - 1. assign V811502 = V749357 + 1. assign V293264 = V675514. assign V383753 = V071829 + 1. assign V743149 = V376443 + 1. assign V246749 = V874183 - 1. assign V822270 = V532926 - 1. assign V569073 = V071829 - 1. assign V774478 = V957228 - 1. assign V153985 = V206724 - 1. assign V860212 = V590269 - 1. assign V158683 = V452106 + 1. assign V122683 = V282588 - 1. assign V639355 = V986338 - 1. assign V653219 = V075320 - 1. assign V373395 = V276584 - 1. assign V820934 = V874183 + 1. assign V839536 = V957228 - 1. assign V171479 = V568803 + 1. assign V509099 = V162360 + 1. assign V398974 = V041696. assign V998855 = V403212 - 1. assign V361822 = V805005 + 1. assign V613898 = V055064 + 1. assign V510256 = V452106 - 1. assign V990140 = V395163. assign V935141 = V821091 - 1. assign V162360 = V994438 + 1. assign V541116 = V227096 - 1. assign V716537 = V590269 - 1. assign V515874 = V030569 - 1. assign V266142 = V874183. assign V785214 = V563946 - 1. assign V566564 = V765217 + 1. assign V570432 = V295285 + 1. assign V785237 = V938417. assign V648775 = V082264 + 1. assign V691999 = V069908. assign V858054 = V452106. assign V837662 = V813245. assign V986338 = V304520 + 1. assign V606313 = V814206 + 1. assign V255944 = V988057 - 1. assign V284313 = V548321 - 1. assign V309638 = V910082. assign V588086 = V738205 - 1. assign V783684 = V149426. assign V247304 = V988057 - 1. assign V411658 = V576162 - 1. assign V378829 = V622308. assign V710470 = V827524 + 1. assign V947635 = V471810. assign V922029 = V064257. assign V365870 = V358035 - 1. assign V281338 = V372292. assign V023784 = V266142. assign V452106 = V234079 + 1. assign V306355 = V749357 - 1. assign V939242 = V579093. assign V604681 = V358035 - 1. assign V452505 = V883478 + 1. assign V107013 = V345934. assign V346689 = V255066 - 1. assign V532926 = V030569 + 1. assign V717080 = V695707. assign V948527 = V030569 - 1. assign V396629 = V703398. assign V320960 = V055064. assign V915016 = V693849 + 1. assign V723259 = V813245 + 1. assign V209401 = V576162 - 1. assign V581003 = V311715 + 1. assign V145020 = V452106 - 1. assign V525962 = V171479. assign V386083 = V265817 - 1. assign V198333 = V360162. assign V938417 = V053207 - 1. assign V883142 = V972702 - 1. assign V079676 = V029537. assign V887667 = V628184. assign V671063 = V417247 - 1. assign V814128 = V014286. assign V800616 = V251548 + 1. assign V106256 = V014286 - 1. assign V930322 = V054578 + 1. assign V595387 = V611482 + 1. assign V401338 = V301644 - 1. assign V062375 = V662363 - 1. assign V973204 = V568023. assign V260776 = V041696 - 1. assign V788174 = V588208. assign V549508 = V289298 - 1. assign V232606 = V883478 - 1. assign V321211 = V069908. assign V601049 = V083708. assign V214324 = V234947. assign V295285 = V162360. assign V551269 = V008467 - 1. assign V276584 = V947635 - 1. assign V522627 = V398974 - 1. assign V825510 = V349347 - 1. assign V273361 = V145020. assign V010366 = V296679 + 1. assign V474720 = V266142 - 1. assign V463638 = V856300. assign V716433 = V703398. assign V449022 = V874183. assign V579093 = V569073 + 1. assign V700727 = V414684. assign V492097 = V499752 - 1. assign V720752 = V376443. assign V588208 = V033732 + 1. assign V524808 = V528823. assign V607881 = V486145. assign V403583 = V716294 + 1. assign V486145 = V403212 + 1. assign V563946 = V662363 - 1. assign V277735 = V947635 + 1. assign V705074 = V431557 + 1. assign V462655 = V933586 + 1. assign V083708 = V622308 + 1. assign V028097 = V452106 + 1. assign V611482 = V122683. assign V345934 = V147479 - 1. assign V838489 = V200637 - 1. assign V910082 = V041696 + 1. assign V404688 = V449022. assign V915103 = V027651. assign V301644 = V162360 + 1. assign V769021 = V604681. assign V499752 = V311715 - 1. assign V577485 = V403212 + 1. assign V621307 = V266142. assign V265817 = V266142 + 1. assign V842210 = V282588 - 1. assign V821091 = V813245 + 1. assign V501421 = V827792. assign V852976 = V716294 - 1. assign V703398 = V356397 - 1. assign V752403 = V431557 - 1. assign V804625 = V246236. assign V113503 = V083708 + 1. assign V548321 = V858054 - 1. assign V474997 = V588208 - 1. assign V310195 = V361822 - 1. assign V957228 = V287981 + 1. assign V463047 = V709374 - 1. assign V709374 = V509099 - 1. assign V382785 = V041696. assign V014286 = V590269 + 1. assign V445603 = V304520 + 1. assign V765217 = V590269 + 1. assign V874183 = V590269 + 1. assign V201860 = V255944 + 1. assign V805005 = V281523 - 1. assign V493843 = V749357. assign V639804 = V144583. assign V573854 = V041696 + 1. assign V706101 = V402558 + 1. assign V246236 = V986338 + 1. assign V599221 = V530385 - 1. assign V819936 = V158683. assign V234947 = V378829 - 1. assign V290305 = V149426 - 1. assign V883478 = V827524. assign V066790 = V645837 - 1. assign V593887 = V774478 - 1. assign V007285 = V907116. assign V041696 = V234079 - 1. assign V902938 = V417247 + 1. assign V628184 = V217492 - 1. assign V481668 = V227096. assign V813657 = V029141 - 1. assign V663284 = V570432 - 1. assign V457144 = V014286 - 1. assign V361818 = V814128 - 1. assign V784781 = V474720. assign V920746 = V922029 - 1. assign V568023 = V595387. assign V636876 = V255066. assign V710329 = V362096 + 1. assign V338881 = V922029 + 1. assign V211157 = V277735 - 1. assign V655436 = V599221 - 1. assign V695707 = V265817. assign V064257 = V814206. assign V491767 = V361822 + 1. assign V080074 = V827792 - 1. assign V814206 = V365870 + 1. assign V239115 = V033732 - 1. assign V904015 = V503965. assign V227096 = V266142 + 1. assign V568803 = V304520 + 1. assign V296679 = V273361 - 1. assign V827792 = V255944 - 1. assign V801923 = V041696 - 1. assign V879916 = V633216 + 1. assign V693849 = V715684. assign V966135 = V192083 + 1. assign V738205 = V435672 - 1. assign V675514 = V356270. assign V622308 = V147479 - 1. assign V235198 = V033732. assign V503965 = V581003 - 1. assign V030569 = V977398 - 1. assign V029440 = V234947. assign V029233 = V858054. assign V004969 = V785214. assign V492341 = V528823. assign V183551 = V957228 - 1. assign V281523 = V266142 + 1. assign V200637 = V041696 - 1. assign V466945 = V947635 + 1. assign V356008 = V198333 + 1. assign V576162 = V541116 + 1. assign V791777 = V062375 + 1. assign V878995 = V923343 + 1. assign V149426 = V192083. assign V198834 = V765217 - 1. assign V471810 = V158683. assign V889701 = V281669 - 1. assign V698010 = V028097 - 1. assign V417247 = V106256 - 1. assign V004633 = V916235. assign V564262 = V994438 - 1. assign V000427 = V653219 + 1. assign V813245 = V282588. assign V933586 = V910082 + 1. assign V994438 = V265817. assign V421241 = V566564 - 1. assign V251548 = V695707 + 1. assign V028010 = V800616 - 1. assign V008467 = V902938 - 1. assign V311715 = V265817 + 1. assign V150151 = V662363. assign V420728 = V251548 - 1. assign V054578 = V255066 - 1. assign V362096 = V122683 - 1. assign V211361 = V358035 - 1. assign V155727 = V069908 + 1. assign V827524 = V360162. assign V890329 = V819936 + 1. assign V403212 = V158683 + 1. assign V011364 = V029141 + 1. assign V234079 = V551157 - 1. assign V082264 = V530385 - 1. assign V053207 = V874183 - 1. assign V289298 = V028097 - 1. assign V071829 = V183551. assign V358035 = V994438 + 1. assign V729056 = V923343 - 1. assign V587112 = V158683 + 1. assign V931233 = V395163 - 1. assign V376443 = V994438. assign V794628 = V290305 - 1. assign V249095 = V994438 + 1. assign V959629 = V404688 - 1. assign V875808 = V376443 - 1. assign V192083 = V915103 - 1. assign V090614 = V265817 - 1. assign V749715 = V769021. assign V457095 = V372292 + 1. assign V287981 = V474720 + 1. assign V038637 = V431557 + 1. assign V269341 = V879916 - 1. assign V282588 = V590269 - 1. assign V430425 = V149426 - 1. assign V551746 = V344164 - 1. assign V531613 = V568023. assign V902978 = V587112. assign V994622 = V306355 + 1. assign V069908 = V041696. assign V856300 = V027651 + 1. assign V749357 = V915103 - 1. assign V426025 = V251548. assign V055064 = V994438 + 1. assign V395163 = V509099. assign V169514 = V770025 + 1. assign V375303 = V590269 - 1. assign V033732 = 9. assign V899386 = V883478. assign V158093 = V581003 + 1. assign V270174 = V010366. assign V553117 = V029141 + 1. assign V907116 = V014286 - 1. assign V360162 = V122683 - 1. assign V349347 = V257448 - 1. assign V718579 = V358035 - 1. assign V632655 = V613898 - 1. assign V848892 = V910082. assign V356270 = V029233 + 1. assign V971371 = V287981 + 1. assign V770025 = V071829 + 1. assign V528823 = V530385 - 1. assign V381728 = V959629 + 1. assign V806896 = V082264 - 1. assign V376651 = V706101. assign V548587 = V463047 - 1. assign V027651 = V452106 + 1. assign V075320 = V994438 + 1. assign V372292 = V183551 - 1. assign V923343 = V403212 + 1. assign V968186 = V587112 + 1. assign V402558 = V200637. assign V530385 = V014286 + 1. assign V029537 = V695707 + 1. assign V294104 = V201860 + 1. assign V845435 = V988057 - 1. assign V101505 = V636876 - 1. assign V720511 = V607881 - 1. assign V916235 = V386083 + 1. assign V396704 = V590269 - 1. assign V281669 = V030569 + 1. assign V093647 = V028097. assign V645837 = V570432. assign V818603 = V524808. assign V618152 = V144583 - 1. assign V969178 = V027651 - 1. assign V662363 = V452106 - 1. assign V351150 = V541116 + 1. assign V078792 = V281523 - 1. assign V629689 = V296679. assign V988057 = V994438 + 1. assign V946388 = V801923 - 1. assign V971633 = V008467. assign V431557 = V452106 + 1. assign V029141 = V033732 + 1. assign V257448 = V078792. assign V716294 = V414684. assign V206724 = V541116 - 1. assign V972702 = V404688. assign V590269 = V145020 - 1. assign V715684 = V158683 - 1. assign V551725 = V688355 - 1. assign V100986 = V093647. assign V139972 = V075320 + 1. assign V356397 = V106256 - 1. assign V304520 = V564262 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV033732 = 9;\n\nFrom these direct assignment(s), we have: \nV029141 = V033732 + 1 = 9 + 1 =10;\nV553117 = V029141 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V553117;\nV011364 = V029141 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V011364;\nV813657 = V029141 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V813657;\nNo other varaibles can be derived from V029141;\nV235198 = V033732 = 9;\nNo other varaibles can be derived from V235198;\nV239115 = V033732 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V239115;\nV588208 = V033732 + 1 = 9 + 1 =10;\nV474997 = V588208 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V474997;\nV788174 = V588208 = 10;\nNo other varaibles can be derived from V788174;\nNo other varaibles can be derived from V588208;\nNo other varaibles can be derived from V033732;\n\nNow we have done all the calculations. Derived variables are:\nV033732 = 9;\nV029141 = 10;\nV553117 = 11;\nV011364 = 11;\nV813657 = 9;\nV235198 = 9;\nV239115 = 8;\nV588208 = 10;\nV474997 = 9;\nV788174 = 10;\n\nNow we have finished this problem. ANSWER:\nV029141, V588208, V788174\n", "role": "assistant" } ]

[ "V199954", "V357279", "V165624", "V970387" ]

[ { "content": "<context>\nassign V915482 = V736109 + 1. assign V876758 = V780867 + 1. assign V440647 = V746224 + 1. assign V884762 = V464518 - 1. assign V315739 = V002586 - 1. assign V888879 = V131884 - 1. assign V751037 = V390420 - 1. assign V958190 = V174184 + 1. assign V109865 = V173722. assign V905279 = V715339 + 1. assign V131884 = V206684 + 1. assign V820889 = V780572 - 1. assign V533325 = V934924 + 1. assign V997546 = V168929. assign V248104 = V002586. assign V357279 = V199954. assign V478997 = V533113 - 1. assign V578269 = V653401 + 1. assign V151740 = V865734. assign V801496 = V104532. assign V033293 = V173722 - 1. assign V970387 = V688222 + 1. assign V823042 = V269938 - 1. assign V448245 = V206684 - 1. assign V583928 = V122446 - 1. assign V410890 = V980055. assign V825747 = V888879 + 1. assign V780965 = V922524 - 1. assign V060958 = V358454. assign V999660 = V309482 - 1. assign V111304 = V301085. assign V351983 = V974233 - 1. assign V227391 = V111304. assign V784393 = V471491 - 1. assign V213201 = V295020 - 1. assign V080943 = V702168. assign V612977 = V980055 + 1. assign V715339 = V870014 + 1. assign V422051 = V926526 - 1. assign V870014 = V736109 + 1. assign V122446 = V301085. assign V130317 = V679936. assign V151757 = V672385. assign V275484 = V505717 + 1. assign V224147 = V584162 + 1. assign V768414 = V586733 + 1. assign V720051 = V679936 - 1. assign V900143 = V324660 + 1. assign V229275 = V213201 + 1. assign V274012 = V784045. assign V024453 = V248104 + 1. assign V980806 = V958190. assign V626836 = V974233. assign V952551 = V054086 + 1. assign V538086 = V580650. assign V338068 = V639517 - 1. assign V018498 = V374204. assign V158895 = V131884 - 1. assign V374204 = V464518 - 1. assign V295020 = V849091 + 1. assign V405840 = V399740 - 1. assign V963951 = V839749. assign V794429 = V122446 + 1. assign V142115 = V942805 - 1. assign V187698 = V980806 - 1. assign V026562 = V893345 - 1. assign V295423 = V049943 - 1. assign V114321 = V052958 + 1. assign V893863 = V942805 - 1. assign V542269 = V177875 + 1. assign V679936 = V278447 - 1. assign V687817 = V060958. assign V505717 = V682387. assign V596626 = V199954 - 1. assign V477794 = V374204. assign V364793 = V878612 - 1. assign V129990 = V001783. assign V120622 = V110596. assign V177875 = V033293 + 1. assign V260210 = V224783 - 1. assign V682387 = V600122. assign V915853 = V605267 - 1. assign V961634 = V224783 - 1. assign V951462 = V758423. assign V604555 = V275484. assign V956393 = V878612 + 1. assign V108308 = V974577 - 1. assign V931079 = V931740. assign V820516 = V818297 - 1. assign V112291 = V870014 + 1. assign V399740 = V746224. assign V933169 = V358454 - 1. assign V746224 = V301085 - 1. assign V527442 = V174184 - 1. assign V005466 = V004009. assign V309482 = V758423. assign V974233 = V343198 + 1. assign V893345 = V110596 - 1. assign V662474 = V278447 - 1. assign V474308 = V525740 - 1. assign V168929 = V002586 - 1. assign V874471 = V358454 + 1. assign V370840 = V950848. assign V780867 = V926526 - 1. assign V337087 = V389586. assign V497266 = V196437 - 1. assign V422297 = V174184 + 1. assign V002586 = V522467 - 1. assign V758423 = V057953 - 1. assign V361464 = V753791 - 1. assign V887318 = V477794 + 1. assign V452951 = V874471. assign V396688 = V639517 + 1. assign V304305 = V224783 + 1. assign V052958 = V746224 + 1. assign V403390 = V780572 - 1. assign V861329 = V894167. assign V777502 = V874471 + 1. assign V524958 = V780572 + 1. assign V710736 = V825747 + 1. assign V390420 = V728389. assign V196756 = V196437. assign V869240 = V168929 - 1. assign V684399 = V664256 + 1. assign V708754 = V078751 + 1. assign V274908 = V136119 - 1. assign V818662 = V785058 + 1. assign V365620 = V753791 - 1. assign V326402 = V219990. assign V937854 = V177117 - 1. assign V365211 = V538086. assign V883006 = V672385 + 1. assign V087013 = V780867 + 1. assign V743836 = V507070 + 1. assign V690124 = V230504. assign V134998 = V926526 + 1. assign V389586 = V321891. assign V054086 = V883006. assign V049943 = V865734 + 1. assign V111658 = V057953 - 1. assign V104709 = V878612 + 1. assign V216476 = V522467 + 1. assign V736109 = V151757. assign V659113 = V546224. assign V269938 = V173722 - 1. assign V760581 = V464518 - 1. assign V467258 = V527442 - 1. assign V136119 = V584162 + 1. assign V933797 = V104532. assign V710107 = V345545. assign V866685 = V720051 + 1. assign V031981 = V708754 - 1. assign V505075 = V370840 - 1. assign V932482 = V538086 + 1. assign V584162 = V600122 - 1. assign V942566 = V145587 + 1. assign V780572 = V278447 - 1. assign V734431 = V865734 - 1. assign V202771 = V926526 + 1. assign V837819 = V820516 + 1. assign V177117 = V390420 - 1. assign V533113 = V600122 - 1. assign V827690 = V026562. assign V989848 = V758423 + 1. assign V131260 = V222091. assign V430359 = V122446 + 1. assign V672385 = V464518 + 1. assign V278447 = V878612 + 1. assign V778977 = V952739. assign V471491 = V018498 - 1. assign V997371 = V639517 + 1. assign V951033 = V605267 + 1. assign V137561 = V278447 + 1. assign V745866 = V410890. assign V869800 = V131260. assign V969393 = V057953. assign V845891 = V630914 + 1. assign V616134 = V505717. assign V865734 = V374204. assign V112303 = V911194. assign V632055 = V170641 + 1. assign V070478 = V758423 + 1. assign V288879 = V422297 - 1. assign V512446 = V958190. assign V470830 = V690124. assign V532447 = V122995 + 1. assign V206684 = V136119. assign V639517 = V883006 - 1. assign V122995 = V440647 + 1. assign V004117 = V997546 - 1. assign V889010 = V883006. assign V805600 = V524850. assign V799745 = V283346. assign V630914 = V820516 + 1. assign V546224 = V145587 + 1. assign V428840 = V969393 - 1. assign V814652 = V630914 - 1. assign V857381 = V104709 - 1. assign V675987 = V524850 - 1. assign V890547 = V389586 + 1. assign V375715 = V111658 + 1. assign V343198 = V358454. assign V784045 = V581145 + 1. assign V135223 = V937854 - 1. assign V004009 = V346160. assign V081873 = V422051 + 1. assign V904080 = V980055 + 1. assign V492071 = V894167 + 1. assign V767221 = V672385 - 1. assign V920750 = V784045. assign V829409 = V780867 + 1. assign V864014 = V888879 + 1. assign V891458 = V177117. assign V160980 = V746224 + 1. assign V705896 = V950848. assign V792883 = V052958. assign V417240 = V001783 - 1. assign V789927 = V546224 + 1. assign V492841 = V122995 - 1. assign V336784 = V584162. assign V301085 = V464518. assign V378965 = V430359. assign V527225 = V505717 + 1. assign V707691 = V710107. assign V418553 = V163780. assign V823138 = V158194 - 1. assign V280475 = V584162 + 1. assign V576837 = V849091 + 1. assign V150859 = V216476 - 1. assign V581415 = V580650 + 1. assign V839749 = V581145 - 1. assign V628886 = V974577 - 1. assign V324660 = V734431 + 1. assign V226999 = V672385 - 1. assign V335896 = V920750. assign V196437 = V746224. assign V805815 = V002586 + 1. assign V199954 = 1. assign V358454 = V374204 + 1. assign V283346 = V440647. assign V350647 = V596626. assign V424487 = V933169 + 1. assign V166722 = V760581 - 1. assign V753791 = V672385. assign V174184 = V464518 - 1. assign V525740 = V659113. assign V824457 = V131884 - 1. assign V385305 = V586733 - 1. assign V340666 = V365620 + 1. assign V170641 = V974577. assign V104532 = V108308 + 1. assign V952739 = V753791 - 1. assign V726824 = V151757. assign V165624 = V357279. assign V346160 = V374204 + 1. assign V921616 = V422297 + 1. assign V623449 = V969393 - 1. assign V991721 = V931740. assign V429552 = V390420 - 1. assign V163780 = V784045. assign V078183 = V301085 + 1. assign V688222 = V657832. assign V986893 = V104709. assign V455300 = V672385 + 1. assign V366211 = V524850 + 1. assign V974577 = V942805 + 1. assign V799557 = V004117. assign V110596 = V202771 + 1. assign V600122 = V145587 + 1. assign V693524 = V780867 + 1. assign V923670 = V893863 + 1. assign V638707 = V538086 - 1. assign V276582 = V160980. assign V934924 = V672385 + 1. assign V081259 = V370840 - 1. assign V074676 = V891458 + 1. assign V502360 = V751037 - 1. assign V329430 = V878612. assign V562442 = V950814. assign V911194 = V888879. assign V664256 = V522467 + 1. assign V349405 = V889010 - 1. assign V926526 = V767221. assign V158082 = V726824 + 1. assign V219990 = V224783. assign V159132 = V708754. assign V922524 = V268191 + 1. assign V745581 = V278447 + 1. assign V238819 = V999660. assign V942805 = V933169. assign V110809 = V920750 + 1. assign V478778 = V081259 - 1. assign V878612 = V974577 - 1. assign V290840 = V883006 + 1. assign V203199 = V422051. assign V207349 = V492071. assign V048806 = V448245 + 1. assign V156870 = V109865 + 1. assign V057953 = V358454 - 1. assign V230504 = V839749 + 1. assign V145587 = V672385 - 1. assign V931740 = V150859. assign V713282 = V767221 - 1. assign V980055 = V477794 - 1. assign V929815 = V580650 - 1. assign V702168 = V199954 - 1. assign V522467 = V672385 + 1. assign V586733 = V390420 - 1. assign V580650 = V600122 + 1. assign V264999 = V104532 - 1. assign V507070 = V753791 - 1. assign V268191 = V980055 + 1. assign V729899 = V986893. assign V574066 = V206684 + 1. assign V321891 = V018498. assign V849091 = V018498. assign V158194 = V980806 - 1. assign V894167 = V168929. assign V197131 = V574066 + 1. assign V401966 = V274012. assign V078751 = V216476. assign V881198 = V784045 + 1. assign V581145 = V374204. assign V222091 = V942805. assign V001783 = V374204. assign V605267 = V136119 - 1. assign V524850 = V345545 - 1. assign V385690 = V219990. assign V515717 = V527225 - 1. assign V317452 = V980055 - 1. assign V653401 = V230504 - 1. assign V982070 = V958190 + 1. assign V818297 = V374204 - 1. assign V785058 = V553563. assign V426031 = V033293 + 1. assign V224783 = V422297 - 1. assign V173722 = V321891 - 1. assign V345545 = V746224 - 1. assign V885555 = V974577 + 1. assign V773533 = V581145 - 1. assign V657832 = V199954 - 1. assign V285228 = V196437 + 1. assign V636647 = V422297 + 1. assign V908816 = V230504. assign V071714 = V104709 - 1. assign V950814 = V170641 - 1. assign V728389 = V780572 - 1. assign V187610 = V109865. assign V898957 = V533113 + 1. assign V950848 = V108308. assign V553563 = V346160 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V915482 = V736109 + 1. assign V876758 = V780867 + 1. assign V440647 = V746224 + 1. assign V884762 = V464518 - 1. assign V315739 = V002586 - 1. assign V888879 = V131884 - 1. assign V751037 = V390420 - 1. assign V958190 = V174184 + 1. assign V109865 = V173722. assign V905279 = V715339 + 1. assign V131884 = V206684 + 1. assign V820889 = V780572 - 1. assign V533325 = V934924 + 1. assign V997546 = V168929. assign V248104 = V002586. assign V357279 = V199954. assign V478997 = V533113 - 1. assign V578269 = V653401 + 1. assign V151740 = V865734. assign V801496 = V104532. assign V033293 = V173722 - 1. assign V970387 = V688222 + 1. assign V823042 = V269938 - 1. assign V448245 = V206684 - 1. assign V583928 = V122446 - 1. assign V410890 = V980055. assign V825747 = V888879 + 1. assign V780965 = V922524 - 1. assign V060958 = V358454. assign V999660 = V309482 - 1. assign V111304 = V301085. assign V351983 = V974233 - 1. assign V227391 = V111304. assign V784393 = V471491 - 1. assign V213201 = V295020 - 1. assign V080943 = V702168. assign V612977 = V980055 + 1. assign V715339 = V870014 + 1. assign V422051 = V926526 - 1. assign V870014 = V736109 + 1. assign V122446 = V301085. assign V130317 = V679936. assign V151757 = V672385. assign V275484 = V505717 + 1. assign V224147 = V584162 + 1. assign V768414 = V586733 + 1. assign V720051 = V679936 - 1. assign V900143 = V324660 + 1. assign V229275 = V213201 + 1. assign V274012 = V784045. assign V024453 = V248104 + 1. assign V980806 = V958190. assign V626836 = V974233. assign V952551 = V054086 + 1. assign V538086 = V580650. assign V338068 = V639517 - 1. assign V018498 = V374204. assign V158895 = V131884 - 1. assign V374204 = V464518 - 1. assign V295020 = V849091 + 1. assign V405840 = V399740 - 1. assign V963951 = V839749. assign V794429 = V122446 + 1. assign V142115 = V942805 - 1. assign V187698 = V980806 - 1. assign V026562 = V893345 - 1. assign V295423 = V049943 - 1. assign V114321 = V052958 + 1. assign V893863 = V942805 - 1. assign V542269 = V177875 + 1. assign V679936 = V278447 - 1. assign V687817 = V060958. assign V505717 = V682387. assign V596626 = V199954 - 1. assign V477794 = V374204. assign V364793 = V878612 - 1. assign V129990 = V001783. assign V120622 = V110596. assign V177875 = V033293 + 1. assign V260210 = V224783 - 1. assign V682387 = V600122. assign V915853 = V605267 - 1. assign V961634 = V224783 - 1. assign V951462 = V758423. assign V604555 = V275484. assign V956393 = V878612 + 1. assign V108308 = V974577 - 1. assign V931079 = V931740. assign V820516 = V818297 - 1. assign V112291 = V870014 + 1. assign V399740 = V746224. assign V933169 = V358454 - 1. assign V746224 = V301085 - 1. assign V527442 = V174184 - 1. assign V005466 = V004009. assign V309482 = V758423. assign V974233 = V343198 + 1. assign V893345 = V110596 - 1. assign V662474 = V278447 - 1. assign V474308 = V525740 - 1. assign V168929 = V002586 - 1. assign V874471 = V358454 + 1. assign V370840 = V950848. assign V780867 = V926526 - 1. assign V337087 = V389586. assign V497266 = V196437 - 1. assign V422297 = V174184 + 1. assign V002586 = V522467 - 1. assign V758423 = V057953 - 1. assign V361464 = V753791 - 1. assign V887318 = V477794 + 1. assign V452951 = V874471. assign V396688 = V639517 + 1. assign V304305 = V224783 + 1. assign V052958 = V746224 + 1. assign V403390 = V780572 - 1. assign V861329 = V894167. assign V777502 = V874471 + 1. assign V524958 = V780572 + 1. assign V710736 = V825747 + 1. assign V390420 = V728389. assign V196756 = V196437. assign V869240 = V168929 - 1. assign V684399 = V664256 + 1. assign V708754 = V078751 + 1. assign V274908 = V136119 - 1. assign V818662 = V785058 + 1. assign V365620 = V753791 - 1. assign V326402 = V219990. assign V937854 = V177117 - 1. assign V365211 = V538086. assign V883006 = V672385 + 1. assign V087013 = V780867 + 1. assign V743836 = V507070 + 1. assign V690124 = V230504. assign V134998 = V926526 + 1. assign V389586 = V321891. assign V054086 = V883006. assign V049943 = V865734 + 1. assign V111658 = V057953 - 1. assign V104709 = V878612 + 1. assign V216476 = V522467 + 1. assign V736109 = V151757. assign V659113 = V546224. assign V269938 = V173722 - 1. assign V760581 = V464518 - 1. assign V467258 = V527442 - 1. assign V136119 = V584162 + 1. assign V933797 = V104532. assign V710107 = V345545. assign V866685 = V720051 + 1. assign V031981 = V708754 - 1. assign V505075 = V370840 - 1. assign V932482 = V538086 + 1. assign V584162 = V600122 - 1. assign V942566 = V145587 + 1. assign V780572 = V278447 - 1. assign V734431 = V865734 - 1. assign V202771 = V926526 + 1. assign V837819 = V820516 + 1. assign V177117 = V390420 - 1. assign V533113 = V600122 - 1. assign V827690 = V026562. assign V989848 = V758423 + 1. assign V131260 = V222091. assign V430359 = V122446 + 1. assign V672385 = V464518 + 1. assign V278447 = V878612 + 1. assign V778977 = V952739. assign V471491 = V018498 - 1. assign V997371 = V639517 + 1. assign V951033 = V605267 + 1. assign V137561 = V278447 + 1. assign V745866 = V410890. assign V869800 = V131260. assign V969393 = V057953. assign V845891 = V630914 + 1. assign V616134 = V505717. assign V865734 = V374204. assign V112303 = V911194. assign V632055 = V170641 + 1. assign V070478 = V758423 + 1. assign V288879 = V422297 - 1. assign V512446 = V958190. assign V470830 = V690124. assign V532447 = V122995 + 1. assign V206684 = V136119. assign V639517 = V883006 - 1. assign V122995 = V440647 + 1. assign V004117 = V997546 - 1. assign V889010 = V883006. assign V805600 = V524850. assign V799745 = V283346. assign V630914 = V820516 + 1. assign V546224 = V145587 + 1. assign V428840 = V969393 - 1. assign V814652 = V630914 - 1. assign V857381 = V104709 - 1. assign V675987 = V524850 - 1. assign V890547 = V389586 + 1. assign V375715 = V111658 + 1. assign V343198 = V358454. assign V784045 = V581145 + 1. assign V135223 = V937854 - 1. assign V004009 = V346160. assign V081873 = V422051 + 1. assign V904080 = V980055 + 1. assign V492071 = V894167 + 1. assign V767221 = V672385 - 1. assign V920750 = V784045. assign V829409 = V780867 + 1. assign V864014 = V888879 + 1. assign V891458 = V177117. assign V160980 = V746224 + 1. assign V705896 = V950848. assign V792883 = V052958. assign V417240 = V001783 - 1. assign V789927 = V546224 + 1. assign V492841 = V122995 - 1. assign V336784 = V584162. assign V301085 = V464518. assign V378965 = V430359. assign V527225 = V505717 + 1. assign V707691 = V710107. assign V418553 = V163780. assign V823138 = V158194 - 1. assign V280475 = V584162 + 1. assign V576837 = V849091 + 1. assign V150859 = V216476 - 1. assign V581415 = V580650 + 1. assign V839749 = V581145 - 1. assign V628886 = V974577 - 1. assign V324660 = V734431 + 1. assign V226999 = V672385 - 1. assign V335896 = V920750. assign V196437 = V746224. assign V805815 = V002586 + 1. assign V199954 = 1. assign V358454 = V374204 + 1. assign V283346 = V440647. assign V350647 = V596626. assign V424487 = V933169 + 1. assign V166722 = V760581 - 1. assign V753791 = V672385. assign V174184 = V464518 - 1. assign V525740 = V659113. assign V824457 = V131884 - 1. assign V385305 = V586733 - 1. assign V340666 = V365620 + 1. assign V170641 = V974577. assign V104532 = V108308 + 1. assign V952739 = V753791 - 1. assign V726824 = V151757. assign V165624 = V357279. assign V346160 = V374204 + 1. assign V921616 = V422297 + 1. assign V623449 = V969393 - 1. assign V991721 = V931740. assign V429552 = V390420 - 1. assign V163780 = V784045. assign V078183 = V301085 + 1. assign V688222 = V657832. assign V986893 = V104709. assign V455300 = V672385 + 1. assign V366211 = V524850 + 1. assign V974577 = V942805 + 1. assign V799557 = V004117. assign V110596 = V202771 + 1. assign V600122 = V145587 + 1. assign V693524 = V780867 + 1. assign V923670 = V893863 + 1. assign V638707 = V538086 - 1. assign V276582 = V160980. assign V934924 = V672385 + 1. assign V081259 = V370840 - 1. assign V074676 = V891458 + 1. assign V502360 = V751037 - 1. assign V329430 = V878612. assign V562442 = V950814. assign V911194 = V888879. assign V664256 = V522467 + 1. assign V349405 = V889010 - 1. assign V926526 = V767221. assign V158082 = V726824 + 1. assign V219990 = V224783. assign V159132 = V708754. assign V922524 = V268191 + 1. assign V745581 = V278447 + 1. assign V238819 = V999660. assign V942805 = V933169. assign V110809 = V920750 + 1. assign V478778 = V081259 - 1. assign V878612 = V974577 - 1. assign V290840 = V883006 + 1. assign V203199 = V422051. assign V207349 = V492071. assign V048806 = V448245 + 1. assign V156870 = V109865 + 1. assign V057953 = V358454 - 1. assign V230504 = V839749 + 1. assign V145587 = V672385 - 1. assign V931740 = V150859. assign V713282 = V767221 - 1. assign V980055 = V477794 - 1. assign V929815 = V580650 - 1. assign V702168 = V199954 - 1. assign V522467 = V672385 + 1. assign V586733 = V390420 - 1. assign V580650 = V600122 + 1. assign V264999 = V104532 - 1. assign V507070 = V753791 - 1. assign V268191 = V980055 + 1. assign V729899 = V986893. assign V574066 = V206684 + 1. assign V321891 = V018498. assign V849091 = V018498. assign V158194 = V980806 - 1. assign V894167 = V168929. assign V197131 = V574066 + 1. assign V401966 = V274012. assign V078751 = V216476. assign V881198 = V784045 + 1. assign V581145 = V374204. assign V222091 = V942805. assign V001783 = V374204. assign V605267 = V136119 - 1. assign V524850 = V345545 - 1. assign V385690 = V219990. assign V515717 = V527225 - 1. assign V317452 = V980055 - 1. assign V653401 = V230504 - 1. assign V982070 = V958190 + 1. assign V818297 = V374204 - 1. assign V785058 = V553563. assign V426031 = V033293 + 1. assign V224783 = V422297 - 1. assign V173722 = V321891 - 1. assign V345545 = V746224 - 1. assign V885555 = V974577 + 1. assign V773533 = V581145 - 1. assign V657832 = V199954 - 1. assign V285228 = V196437 + 1. assign V636647 = V422297 + 1. assign V908816 = V230504. assign V071714 = V104709 - 1. assign V950814 = V170641 - 1. assign V728389 = V780572 - 1. assign V187610 = V109865. assign V898957 = V533113 + 1. assign V950848 = V108308. assign V553563 = V346160 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV199954 = 1;\n\nFrom these direct assignment(s), we have: \nV657832 = V199954 - 1 = 1 - 1 =0;\nV688222 = V657832 = 0;\nV970387 = V688222 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V970387;\nNo other varaibles can be derived from V688222;\nNo other varaibles can be derived from V657832;\nV702168 = V199954 - 1 = 1 - 1 =0;\nV080943 = V702168 = 0;\nNo other varaibles can be derived from V080943;\nNo other varaibles can be derived from V702168;\nV596626 = V199954 - 1 = 1 - 1 =0;\nV350647 = V596626 = 0;\nNo other varaibles can be derived from V350647;\nNo other varaibles can be derived from V596626;\nV357279 = V199954 = 1;\nV165624 = V357279 = 1;\nNo other varaibles can be derived from V165624;\nNo other varaibles can be derived from V357279;\nNo other varaibles can be derived from V199954;\n\nNow we have done all the calculations. Derived variables are:\nV199954 = 1;\nV657832 = 0;\nV688222 = 0;\nV970387 = 1;\nV702168 = 0;\nV080943 = 0;\nV596626 = 0;\nV350647 = 0;\nV357279 = 1;\nV165624 = 1;\n\nNow we have finished this problem. ANSWER:\nV199954, V970387, V357279, V165624\n", "role": "assistant" } ]

[ "V915747", "V758620", "V419914", "V749016" ]

[ { "content": "<context>\nassign V284428 = V124510 - 1. assign V085947 = V384491. assign V830607 = V971392 - 1. assign V912842 = V946405 - 1. assign V050266 = V418225 - 1. assign V124062 = V554573 - 1. assign V119503 = V966179. assign V305496 = V421323. assign V190354 = V478850 + 1. assign V321133 = V681021 - 1. assign V846103 = V124510 + 1. assign V811491 = V693421 - 1. assign V375754 = V758055 + 1. assign V578027 = V384491 + 1. assign V364220 = V656109. assign V226663 = V821523. assign V427240 = V339113. assign V530190 = V398187 + 1. assign V800021 = V720814 - 1. assign V214061 = V229875 - 1. assign V132082 = V517439. assign V411422 = V165724. assign V765637 = V743674. assign V595196 = V984870 - 1. assign V077243 = V663455 - 1. assign V947562 = V711740 - 1. assign V165724 = V124510. assign V668301 = V198575 - 1. assign V650330 = V392502. assign V428378 = V398187 - 1. assign V145836 = V124510. assign V478277 = V687128. assign V235245 = V477434 + 1. assign V775181 = V054691 + 1. assign V464939 = V165724 + 1. assign V724350 = V845925 - 1. assign V124510 = V493600 + 1. assign V309847 = V165724 + 1. assign V835889 = V255507 - 1. assign V050686 = V944597 + 1. assign V487417 = V846667. assign V534253 = V436661 + 1. assign V821523 = V409285 + 1. assign V476050 = V530998 + 1. assign V543398 = V157068 - 1. assign V090148 = V591222. assign V173016 = V889841 + 1. assign V530998 = V704982. assign V730365 = V906526. assign V478850 = V255507 + 1. assign V704982 = V912842 + 1. assign V591403 = V124510. assign V946405 = V124510 + 1. assign V512730 = V168054 - 1. assign V673099 = V294334. assign V786931 = V128663 - 1. assign V484290 = V530190. assign V971261 = V164131 - 1. assign V277217 = V124510. assign V870561 = V461847 - 1. assign V723865 = V905779 - 1. assign V935556 = V717782. assign V584240 = V566333 - 1. assign V327057 = V409285. assign V271559 = V944597 + 1. assign V050707 = V084584. assign V885842 = V084584. assign V864112 = V758055. assign V161838 = V885842 - 1. assign V452772 = V428378 + 1. assign V609581 = V713520 - 1. assign V090335 = V113135 - 1. assign V984870 = V535275 + 1. assign V384520 = V478850 + 1. assign V963666 = V566333. assign V307409 = V366185. assign V947920 = V835889 - 1. assign V055084 = V687128. assign V748368 = V039256 + 1. assign V443781 = V359722. assign V418225 = V944597. assign V188632 = V428378 - 1. assign V394043 = V255061 - 1. assign V396068 = V889841 - 1. assign V687128 = V277217 + 1. assign V507666 = V173016 + 1. assign V042798 = V879569. assign V327933 = V857662 - 1. assign V291278 = V284428 + 1. assign V490118 = V630681 + 1. assign V979834 = V122720 - 1. assign V253787 = V178773. assign V274734 = V356494 - 1. assign V695177 = V277217 + 1. assign V221755 = V948177. assign V979513 = V658358 + 1. assign V264460 = V069560 + 1. assign V029903 = V674154 - 1. assign V379361 = V214061. assign V272238 = V366185 + 1. assign V971392 = V471671 + 1. assign V912166 = V277217. assign V985128 = V512730 + 1. assign V139161 = V765411 - 1. assign V496512 = V150341. assign V948177 = V113135 - 1. assign V057793 = V084584 + 1. assign V892652 = V024400 + 1. assign V198575 = V077243 - 1. assign V384617 = V364220 - 1. assign V112520 = V113135. assign V722416 = V150341. assign V664856 = V946837 - 1. assign V954794 = V566333 + 1. assign V879569 = V277217 + 1. assign V832040 = V912842. assign V471671 = V454245. assign V710432 = V971565. assign V419914 = V915747. assign V461847 = V229875 - 1. assign V522223 = V944597. assign V414676 = V845925 - 1. assign V477434 = V717782 - 1. assign V571262 = V879569. assign V037615 = V282414 + 1. assign V243439 = V452772. assign V325943 = V743674. assign V166758 = V396068 + 1. assign V279774 = V821121. assign V720814 = V786931 - 1. assign V586528 = V846667. assign V113211 = V658358 - 1. assign V984309 = V500794. assign V917137 = V294334 - 1. assign V821121 = V944597. assign V039256 = V294334 - 1. assign V286437 = V722416. assign V571950 = V119215 + 1. assign V656109 = V835889. assign V228188 = V090148 - 1. assign V845550 = V112520. assign V551406 = V475245 + 1. assign V136709 = V039256. assign V874954 = V155767 - 1. assign V191166 = V084483 - 1. assign V410150 = V748368. assign V693421 = V717782 - 1. assign V177684 = V320737 - 1. assign V966179 = V613975 + 1. assign V836539 = V339113 - 1. assign V889297 = V198575 - 1. assign V164131 = V274734 + 1. assign V525892 = V124340 + 1. assign V604085 = V551406 + 1. assign V097741 = V177684 + 1. assign V613975 = V418225. assign V944597 = V493600 + 1. assign V928342 = V244485 - 1. assign V168054 = V409285 + 1. assign V635140 = V087491. assign V192041 = V177684 - 1. assign V681021 = V050266 - 1. assign V441895 = V471671 + 1. assign V363101 = V743849 - 1. assign V751656 = V758055 - 1. assign V248517 = V811491 - 1. assign V958718 = V693421. assign V940070 = V327057. assign V635986 = V507666 - 1. assign V704846 = V723218 - 1. assign V798623 = V271559 + 1. assign V722320 = V300323 - 1. assign V178121 = V112520 - 1. assign V392502 = V477434. assign V084584 = V963666 + 1. assign V929838 = V508075 - 1. assign V956135 = V411422. assign V758620 = V915747. assign V845925 = V845550. assign V867819 = V409285 - 1. assign V535275 = V717782 + 1. assign V421323 = V586528. assign V567614 = V003731 - 1. assign V113135 = V165724. assign V535734 = V765411 + 1. assign V664636 = V821523 + 1. assign V635174 = V889841. assign V938784 = V743849 - 1. assign V973962 = V811491 - 1. assign V554573 = V064770 - 1. assign V144031 = V277217 + 1. assign V176623 = V566333 - 1. assign V520932 = V729975 + 1. assign V605590 = V658358 - 1. assign V743849 = V722416. assign V294334 = V418225 - 1. assign V359722 = V090335 + 1. assign V315392 = V248517 + 1. assign V630681 = V845925 - 1. assign V436661 = V286437 + 1. assign V157068 = V327057 - 1. assign V878446 = V229875. assign V980972 = V748368 + 1. assign V487578 = V276552. assign V942814 = V635174 + 1. assign V416234 = V508075 + 1. assign V846667 = V176623 + 1. assign V215743 = V173016 - 1. assign V300323 = V566333 - 1. assign V384596 = V442195 - 1. assign V517439 = V832040 + 1. assign V384491 = V229875 - 1. assign V851232 = V864112. assign V566333 = V493600 - 1. assign V127935 = V198575 - 1. assign V674154 = V915747 - 1. assign V889841 = V530190 - 1. assign V493405 = V915747 + 1. assign V658358 = V284428. assign V766676 = V867819 + 1. assign V967796 = V851232. assign V695858 = V320737 - 1. assign V723218 = V591403 + 1. assign V508075 = V591222 + 1. assign V304424 = V422775 + 1. assign V109276 = V229875. assign V112967 = V704982 - 1. assign V831809 = V418225. assign V743674 = V535275 + 1. assign V675609 = V384491 - 1. assign V495988 = V264460 + 1. assign V128663 = V944597 - 1. assign V317487 = V300323. assign V754826 = V493600. assign V326822 = V408974 + 1. assign V222639 = V272238 - 1. assign V754704 = V811491 + 1. assign V122720 = V284428. assign V398187 = V534253 + 1. assign V683668 = V889841. assign V255507 = V339113 + 1. assign V655122 = V229875 - 1. assign V500794 = V935556 + 1. assign V290218 = V878446 + 1. assign V282414 = V493600 + 1. assign V475245 = V164131 + 1. assign V999497 = V879569 + 1. assign V626039 = V288391 - 1. assign V244485 = V496512 + 1. assign V480131 = V054691 + 1. assign V320737 = V566333 - 1. assign V872321 = V748368 + 1. assign V663455 = V963666 + 1. assign V059034 = V229875 + 1. assign V366185 = V717782. assign V668485 = V276552 - 1. assign V071856 = V751656 - 1. assign V919225 = V554573 + 1. assign V610248 = V366185. assign V150341 = V165724 + 1. assign V310520 = V722416. assign V233908 = V064770 + 1. assign V178773 = V591222 - 1. assign V423378 = V128663 + 1. assign V970520 = V971565 - 1. assign V454245 = V664636 + 1. assign V186612 = V165724 + 1. assign V128720 = V758620 + 1. assign V339113 = V591403. assign V857662 = V327057. assign V356494 = V229875 - 1. assign V250277 = V530190 - 1. assign V709263 = V454245 + 1. assign V713520 = V919225. assign V542102 = V630681. assign V906526 = V339113. assign V716538 = V054691 - 1. assign V905779 = V272238. assign V084483 = V039256 + 1. assign V054691 = V879569 - 1. assign V119215 = V128663 - 1. assign V164567 = V500794 - 1. assign V566922 = V591222 - 1. assign V273285 = V512730 - 1. assign V299754 = V128663 + 1. assign V087491 = V613975 - 1. assign V329919 = V980972 + 1. assign V605890 = V409285 + 1. assign V442195 = V286437 - 1. assign V140023 = V282414. assign V137035 = V291278 - 1. assign V089290 = V155767. assign V238875 = V609581 - 1. assign V941151 = V664636 + 1. assign V064770 = V113135 + 1. assign V069560 = V165724 - 1. assign V932932 = V758055. assign V532949 = V398187 - 1. assign V237835 = V760659 - 1. assign V971565 = V495988. assign V339164 = V071856 + 1. assign V711740 = V173016. assign V255061 = V145836. assign V765411 = V366185 - 1. assign V339447 = V150341. assign V576790 = V967796 - 1. assign V288391 = V765411 - 1. assign V729975 = V155767 - 1. assign V591222 = V229875. assign V834406 = V077243. assign V649087 = V722416. assign V105509 = V845550 - 1. assign V870831 = V255507 + 1. assign V758055 = V320737. assign V518165 = V112520. assign V250265 = V271559 - 1. assign V570806 = V495988 + 1. assign V915747 = 9. assign V153014 = V050686 - 1. assign V146806 = V554573 + 1. assign V946837 = V915747 - 1. assign V409285 = V845550. assign V542309 = V406009. assign V794229 = V613975. assign V229875 = V944597 - 1. assign V079638 = V164567. assign V875803 = V294334 + 1. assign V818590 = V870561 - 1. assign V408974 = V821121. assign V024400 = V532949 + 1. assign V559449 = V173016 + 1. assign V717782 = V124510 - 1. assign V009925 = V889841 + 1. assign V448576 = V832040 + 1. assign V473546 = V578027. assign V749016 = V758620. assign V693002 = V168054. assign V659962 = V512730. assign V760659 = V384491 - 1. assign V194187 = V878446 + 1. assign V342771 = V084483 - 1. assign V422775 = V164131 - 1. assign V406009 = V176623. assign V789276 = V173016. assign V003731 = V339447. assign V588652 = V716538 + 1. assign V954578 = V165724 + 1. assign V851071 = V535734. assign V155767 = V566333 - 1. assign V124340 = V758055 - 1. assign V276552 = V695858.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V284428 = V124510 - 1. assign V085947 = V384491. assign V830607 = V971392 - 1. assign V912842 = V946405 - 1. assign V050266 = V418225 - 1. assign V124062 = V554573 - 1. assign V119503 = V966179. assign V305496 = V421323. assign V190354 = V478850 + 1. assign V321133 = V681021 - 1. assign V846103 = V124510 + 1. assign V811491 = V693421 - 1. assign V375754 = V758055 + 1. assign V578027 = V384491 + 1. assign V364220 = V656109. assign V226663 = V821523. assign V427240 = V339113. assign V530190 = V398187 + 1. assign V800021 = V720814 - 1. assign V214061 = V229875 - 1. assign V132082 = V517439. assign V411422 = V165724. assign V765637 = V743674. assign V595196 = V984870 - 1. assign V077243 = V663455 - 1. assign V947562 = V711740 - 1. assign V165724 = V124510. assign V668301 = V198575 - 1. assign V650330 = V392502. assign V428378 = V398187 - 1. assign V145836 = V124510. assign V478277 = V687128. assign V235245 = V477434 + 1. assign V775181 = V054691 + 1. assign V464939 = V165724 + 1. assign V724350 = V845925 - 1. assign V124510 = V493600 + 1. assign V309847 = V165724 + 1. assign V835889 = V255507 - 1. assign V050686 = V944597 + 1. assign V487417 = V846667. assign V534253 = V436661 + 1. assign V821523 = V409285 + 1. assign V476050 = V530998 + 1. assign V543398 = V157068 - 1. assign V090148 = V591222. assign V173016 = V889841 + 1. assign V530998 = V704982. assign V730365 = V906526. assign V478850 = V255507 + 1. assign V704982 = V912842 + 1. assign V591403 = V124510. assign V946405 = V124510 + 1. assign V512730 = V168054 - 1. assign V673099 = V294334. assign V786931 = V128663 - 1. assign V484290 = V530190. assign V971261 = V164131 - 1. assign V277217 = V124510. assign V870561 = V461847 - 1. assign V723865 = V905779 - 1. assign V935556 = V717782. assign V584240 = V566333 - 1. assign V327057 = V409285. assign V271559 = V944597 + 1. assign V050707 = V084584. assign V885842 = V084584. assign V864112 = V758055. assign V161838 = V885842 - 1. assign V452772 = V428378 + 1. assign V609581 = V713520 - 1. assign V090335 = V113135 - 1. assign V984870 = V535275 + 1. assign V384520 = V478850 + 1. assign V963666 = V566333. assign V307409 = V366185. assign V947920 = V835889 - 1. assign V055084 = V687128. assign V748368 = V039256 + 1. assign V443781 = V359722. assign V418225 = V944597. assign V188632 = V428378 - 1. assign V394043 = V255061 - 1. assign V396068 = V889841 - 1. assign V687128 = V277217 + 1. assign V507666 = V173016 + 1. assign V042798 = V879569. assign V327933 = V857662 - 1. assign V291278 = V284428 + 1. assign V490118 = V630681 + 1. assign V979834 = V122720 - 1. assign V253787 = V178773. assign V274734 = V356494 - 1. assign V695177 = V277217 + 1. assign V221755 = V948177. assign V979513 = V658358 + 1. assign V264460 = V069560 + 1. assign V029903 = V674154 - 1. assign V379361 = V214061. assign V272238 = V366185 + 1. assign V971392 = V471671 + 1. assign V912166 = V277217. assign V985128 = V512730 + 1. assign V139161 = V765411 - 1. assign V496512 = V150341. assign V948177 = V113135 - 1. assign V057793 = V084584 + 1. assign V892652 = V024400 + 1. assign V198575 = V077243 - 1. assign V384617 = V364220 - 1. assign V112520 = V113135. assign V722416 = V150341. assign V664856 = V946837 - 1. assign V954794 = V566333 + 1. assign V879569 = V277217 + 1. assign V832040 = V912842. assign V471671 = V454245. assign V710432 = V971565. assign V419914 = V915747. assign V461847 = V229875 - 1. assign V522223 = V944597. assign V414676 = V845925 - 1. assign V477434 = V717782 - 1. assign V571262 = V879569. assign V037615 = V282414 + 1. assign V243439 = V452772. assign V325943 = V743674. assign V166758 = V396068 + 1. assign V279774 = V821121. assign V720814 = V786931 - 1. assign V586528 = V846667. assign V113211 = V658358 - 1. assign V984309 = V500794. assign V917137 = V294334 - 1. assign V821121 = V944597. assign V039256 = V294334 - 1. assign V286437 = V722416. assign V571950 = V119215 + 1. assign V656109 = V835889. assign V228188 = V090148 - 1. assign V845550 = V112520. assign V551406 = V475245 + 1. assign V136709 = V039256. assign V874954 = V155767 - 1. assign V191166 = V084483 - 1. assign V410150 = V748368. assign V693421 = V717782 - 1. assign V177684 = V320737 - 1. assign V966179 = V613975 + 1. assign V836539 = V339113 - 1. assign V889297 = V198575 - 1. assign V164131 = V274734 + 1. assign V525892 = V124340 + 1. assign V604085 = V551406 + 1. assign V097741 = V177684 + 1. assign V613975 = V418225. assign V944597 = V493600 + 1. assign V928342 = V244485 - 1. assign V168054 = V409285 + 1. assign V635140 = V087491. assign V192041 = V177684 - 1. assign V681021 = V050266 - 1. assign V441895 = V471671 + 1. assign V363101 = V743849 - 1. assign V751656 = V758055 - 1. assign V248517 = V811491 - 1. assign V958718 = V693421. assign V940070 = V327057. assign V635986 = V507666 - 1. assign V704846 = V723218 - 1. assign V798623 = V271559 + 1. assign V722320 = V300323 - 1. assign V178121 = V112520 - 1. assign V392502 = V477434. assign V084584 = V963666 + 1. assign V929838 = V508075 - 1. assign V956135 = V411422. assign V758620 = V915747. assign V845925 = V845550. assign V867819 = V409285 - 1. assign V535275 = V717782 + 1. assign V421323 = V586528. assign V567614 = V003731 - 1. assign V113135 = V165724. assign V535734 = V765411 + 1. assign V664636 = V821523 + 1. assign V635174 = V889841. assign V938784 = V743849 - 1. assign V973962 = V811491 - 1. assign V554573 = V064770 - 1. assign V144031 = V277217 + 1. assign V176623 = V566333 - 1. assign V520932 = V729975 + 1. assign V605590 = V658358 - 1. assign V743849 = V722416. assign V294334 = V418225 - 1. assign V359722 = V090335 + 1. assign V315392 = V248517 + 1. assign V630681 = V845925 - 1. assign V436661 = V286437 + 1. assign V157068 = V327057 - 1. assign V878446 = V229875. assign V980972 = V748368 + 1. assign V487578 = V276552. assign V942814 = V635174 + 1. assign V416234 = V508075 + 1. assign V846667 = V176623 + 1. assign V215743 = V173016 - 1. assign V300323 = V566333 - 1. assign V384596 = V442195 - 1. assign V517439 = V832040 + 1. assign V384491 = V229875 - 1. assign V851232 = V864112. assign V566333 = V493600 - 1. assign V127935 = V198575 - 1. assign V674154 = V915747 - 1. assign V889841 = V530190 - 1. assign V493405 = V915747 + 1. assign V658358 = V284428. assign V766676 = V867819 + 1. assign V967796 = V851232. assign V695858 = V320737 - 1. assign V723218 = V591403 + 1. assign V508075 = V591222 + 1. assign V304424 = V422775 + 1. assign V109276 = V229875. assign V112967 = V704982 - 1. assign V831809 = V418225. assign V743674 = V535275 + 1. assign V675609 = V384491 - 1. assign V495988 = V264460 + 1. assign V128663 = V944597 - 1. assign V317487 = V300323. assign V754826 = V493600. assign V326822 = V408974 + 1. assign V222639 = V272238 - 1. assign V754704 = V811491 + 1. assign V122720 = V284428. assign V398187 = V534253 + 1. assign V683668 = V889841. assign V255507 = V339113 + 1. assign V655122 = V229875 - 1. assign V500794 = V935556 + 1. assign V290218 = V878446 + 1. assign V282414 = V493600 + 1. assign V475245 = V164131 + 1. assign V999497 = V879569 + 1. assign V626039 = V288391 - 1. assign V244485 = V496512 + 1. assign V480131 = V054691 + 1. assign V320737 = V566333 - 1. assign V872321 = V748368 + 1. assign V663455 = V963666 + 1. assign V059034 = V229875 + 1. assign V366185 = V717782. assign V668485 = V276552 - 1. assign V071856 = V751656 - 1. assign V919225 = V554573 + 1. assign V610248 = V366185. assign V150341 = V165724 + 1. assign V310520 = V722416. assign V233908 = V064770 + 1. assign V178773 = V591222 - 1. assign V423378 = V128663 + 1. assign V970520 = V971565 - 1. assign V454245 = V664636 + 1. assign V186612 = V165724 + 1. assign V128720 = V758620 + 1. assign V339113 = V591403. assign V857662 = V327057. assign V356494 = V229875 - 1. assign V250277 = V530190 - 1. assign V709263 = V454245 + 1. assign V713520 = V919225. assign V542102 = V630681. assign V906526 = V339113. assign V716538 = V054691 - 1. assign V905779 = V272238. assign V084483 = V039256 + 1. assign V054691 = V879569 - 1. assign V119215 = V128663 - 1. assign V164567 = V500794 - 1. assign V566922 = V591222 - 1. assign V273285 = V512730 - 1. assign V299754 = V128663 + 1. assign V087491 = V613975 - 1. assign V329919 = V980972 + 1. assign V605890 = V409285 + 1. assign V442195 = V286437 - 1. assign V140023 = V282414. assign V137035 = V291278 - 1. assign V089290 = V155767. assign V238875 = V609581 - 1. assign V941151 = V664636 + 1. assign V064770 = V113135 + 1. assign V069560 = V165724 - 1. assign V932932 = V758055. assign V532949 = V398187 - 1. assign V237835 = V760659 - 1. assign V971565 = V495988. assign V339164 = V071856 + 1. assign V711740 = V173016. assign V255061 = V145836. assign V765411 = V366185 - 1. assign V339447 = V150341. assign V576790 = V967796 - 1. assign V288391 = V765411 - 1. assign V729975 = V155767 - 1. assign V591222 = V229875. assign V834406 = V077243. assign V649087 = V722416. assign V105509 = V845550 - 1. assign V870831 = V255507 + 1. assign V758055 = V320737. assign V518165 = V112520. assign V250265 = V271559 - 1. assign V570806 = V495988 + 1. assign V915747 = 9. assign V153014 = V050686 - 1. assign V146806 = V554573 + 1. assign V946837 = V915747 - 1. assign V409285 = V845550. assign V542309 = V406009. assign V794229 = V613975. assign V229875 = V944597 - 1. assign V079638 = V164567. assign V875803 = V294334 + 1. assign V818590 = V870561 - 1. assign V408974 = V821121. assign V024400 = V532949 + 1. assign V559449 = V173016 + 1. assign V717782 = V124510 - 1. assign V009925 = V889841 + 1. assign V448576 = V832040 + 1. assign V473546 = V578027. assign V749016 = V758620. assign V693002 = V168054. assign V659962 = V512730. assign V760659 = V384491 - 1. assign V194187 = V878446 + 1. assign V342771 = V084483 - 1. assign V422775 = V164131 - 1. assign V406009 = V176623. assign V789276 = V173016. assign V003731 = V339447. assign V588652 = V716538 + 1. assign V954578 = V165724 + 1. assign V851071 = V535734. assign V155767 = V566333 - 1. assign V124340 = V758055 - 1. assign V276552 = V695858.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV915747 = 9;\n\nFrom these direct assignment(s), we have: \nV946837 = V915747 - 1 = 9 - 1 =8;\nV664856 = V946837 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V664856;\nNo other varaibles can be derived from V946837;\nV493405 = V915747 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V493405;\nV674154 = V915747 - 1 = 9 - 1 =8;\nV029903 = V674154 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V029903;\nNo other varaibles can be derived from V674154;\nV758620 = V915747 = 9;\nV749016 = V758620 = 9;\nNo other varaibles can be derived from V749016;\nV128720 = V758620 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V128720;\nNo other varaibles can be derived from V758620;\nV419914 = V915747 = 9;\nNo other varaibles can be derived from V419914;\nNo other varaibles can be derived from V915747;\n\nNow we have done all the calculations. Derived variables are:\nV915747 = 9;\nV946837 = 8;\nV664856 = 7;\nV493405 = 10;\nV674154 = 8;\nV029903 = 7;\nV758620 = 9;\nV749016 = 9;\nV128720 = 10;\nV419914 = 9;\n\nNow we have finished this problem. ANSWER:\nV915747, V758620, V749016, V419914\n", "role": "assistant" } ]

[ "V671510" ]

[ { "content": "<context>\nassign V369119 = V847946 + 1. assign V676903 = V669303. assign V996639 = V064817 + 1. assign V927444 = V209414. assign V997883 = V669303 + 1. assign V966748 = V331894 + 1. assign V122564 = V497144 - 1. assign V539298 = V033824. assign V034616 = V772083 - 1. assign V818581 = V715593 + 1. assign V116098 = V192978. assign V812578 = V475039. assign V943722 = V404239. assign V721264 = V116098 - 1. assign V760596 = V123342. assign V204744 = V816754 + 1. assign V887336 = V621319. assign V862613 = V328859 + 1. assign V212825 = V341905 + 1. assign V831906 = V659998 + 1. assign V179032 = V526792 - 1. assign V772083 = V766090 - 1. assign V701363 = V798852 - 1. assign V017604 = V818581 - 1. assign V027024 = V122369 + 1. assign V229988 = V927444 + 1. assign V424439 = V034616 - 1. assign V617644 = V723629 - 1. assign V902882 = V926559 - 1. assign V251577 = V331894 - 1. assign V468341 = V114732. assign V582213 = V089147 - 1. assign V847946 = V192978 - 1. assign V669303 = V174696. assign V209414 = V192978 + 1. assign V096315 = V889636 + 1. assign V610808 = V149795 - 1. assign V089769 = V667487. assign V526792 = V847946. assign V075790 = V610808. assign V827957 = V468447 - 1. assign V313405 = V647212 - 1. assign V029775 = V418310 + 1. assign V174350 = V617549 - 1. assign V977549 = V772083 - 1. assign V965780 = V286686 - 1. assign V193046 = V676489. assign V758068 = V592422 - 1. assign V849774 = V773725. assign V064817 = V374055. assign V454935 = V853265 - 1. assign V489503 = V544246 - 1. assign V870685 = V665510. assign V842982 = V862613 - 1. assign V899436 = V926559 + 1. assign V347542 = V977549. assign V920791 = V978198 - 1. assign V344528 = V176132. assign V618501 = V512896. assign V978198 = V058575 + 1. assign V544246 = V773725. assign V123342 = V174350 + 1. assign V402440 = V027024 + 1. assign V663116 = V594479 + 1. assign V216999 = V646964 + 1. assign V028671 = V245056 - 1. assign V566208 = V516377 - 1. assign V722250 = V469462. assign V273566 = V174350. assign V181306 = V192978 - 1. assign V335830 = V113852. assign V216543 = V755737. assign V517881 = V853265. assign V748566 = V760596 - 1. assign V033824 = V621956 + 1. assign V789729 = V669303 - 1. assign V326271 = V791787. assign V936490 = V374055 - 1. assign V773725 = V818581 - 1. assign V641663 = V851927 + 1. assign V233677 = V743228. assign V025651 = V617549 - 1. assign V537743 = V595360. assign V182137 = V744515 + 1. assign V840851 = V469462 + 1. assign V701793 = V122564. assign V791787 = V497144 - 1. assign V122369 = V721264 + 1. assign V559294 = V261477 + 1. assign V276863 = V313405 + 1. assign V614707 = V335830 + 1. assign V466593 = V853265 - 1. assign V766090 = V209414. assign V762736 = V116098. assign V362725 = V216041. assign V328859 = V107735 - 1. assign V949006 = V836626 + 1. assign V820359 = V608108 + 1. assign V589271 = V270398 + 1. assign V861837 = V996639 - 1. assign V159235 = V532875. assign V646964 = V209414. assign V331949 = V582213. assign V126168 = V927444 + 1. assign V058575 = V107735 - 1. assign V446958 = V391184. assign V428150 = V432969. assign V245056 = V030536. assign V391184 = V089147. assign V286878 = V847946. assign V462203 = V209414 - 1. assign V874762 = V000337 + 1. assign V015244 = V216999. assign V713755 = V861837 + 1. assign V118629 = V046134. assign V954804 = V646632 + 1. assign V037529 = V791787. assign V966233 = V066919 - 1. assign V978755 = V899436 + 1. assign V743228 = V066917 - 1. assign V556606 = V791787 - 1. assign V106541 = V574000 - 1. assign V022257 = V836626. assign V621912 = V911206 + 1. assign V713778 = V326271 + 1. assign V839157 = V791787 - 1. assign V121538 = V229988. assign V057267 = V758068 - 1. assign V161015 = V822512 + 1. assign V194908 = V965780. assign V717610 = V951394 - 1. assign V574255 = V192978. assign V898838 = V762736 + 1. assign V976106 = V772298 + 1. assign V066917 = V290190 - 1. assign V404239 = V555388. assign V819376 = V849774 - 1. assign V647212 = V812578 + 1. assign V503453 = V273256. assign V341905 = V192978 - 1. assign V646427 = V089147 - 1. assign V479489 = V053145 - 1. assign V772298 = V836626 - 1. assign V414456 = V935424 - 1. assign V650609 = V192978. assign V471349 = V404239 + 1. assign V007356 = V997883 - 1. assign V635651 = V899436. assign V134161 = V936490 - 1. assign V304859 = V984149. assign V884707 = V593801. assign V592914 = V034616 - 1. assign V183700 = V532875 - 1. assign V466595 = V949006 - 1. assign V621773 = V000337 + 1. assign V173046 = V861837 - 1. assign V187971 = V954804 + 1. assign V659998 = V030536. assign V368930 = V176132 + 1. assign V785871 = V118629. assign V167915 = V980573 + 1. assign V475039 = V229988 + 1. assign V594479 = V517881. assign V489747 = V593801. assign V647079 = V053145 + 1. assign V836626 = V216041 - 1. assign V135891 = V341905 + 1. assign V884828 = V031394 + 1. assign V609754 = V593801. assign V374055 = V141840 - 1. assign V694068 = V616834 + 1. assign V000337 = V565622 - 1. assign V997083 = V927444. assign V715593 = 5. assign V697115 = V066917. assign V160206 = V755737. assign V892438 = V027024 + 1. assign V202702 = V313405 - 1. assign V980573 = V120687 + 1. assign V350583 = V276863 + 1. assign V592422 = V216999 - 1. assign V461385 = V477941 + 1. assign V969428 = V617644 - 1. assign V689166 = V635651 + 1. assign V524596 = V949432 - 1. assign V798852 = V935424 - 1. assign V841234 = V418310. assign V238866 = V943722 - 1. assign V901117 = V458742 - 1. assign V114732 = V592422 - 1. assign V709976 = V732201. assign V176132 = V238995 - 1. assign V231816 = V418310 + 1. assign V838565 = V659998. assign V667177 = V676903 + 1. assign V203313 = V949432 - 1. assign V979394 = V416524 - 1. assign V616834 = V404762. assign V062763 = V273566 + 1. assign V732201 = V595360 - 1. assign V582116 = V870685 - 1. assign V979867 = V161015. assign V476778 = V468341 + 1. assign V382224 = V007356 - 1. assign V489444 = V544246 + 1. assign V853265 = V646964 - 1. assign V039791 = V847946 - 1. assign V926559 = V126168. assign V261477 = V404239 + 1. assign V210506 = V524006 - 1. assign V376673 = V640238 - 1. assign V954654 = V665510. assign V965195 = V337803 + 1. assign V903503 = V741481 + 1. assign V595360 = V758068. assign V525599 = V107735 - 1. assign V084984 = V058575. assign V418310 = V760596 - 1. assign V065719 = V957851 + 1. assign V512896 = V555388 - 1. assign V516377 = V713778 - 1. assign V522160 = V391184. assign V297791 = V209414. assign V144153 = V994280 + 1. assign V565622 = V416524 - 1. assign V791154 = V980573 - 1. assign V509447 = V335830 + 1. assign V107735 = V621319 + 1. assign V852896 = V181306. assign V066919 = V174696 - 1. assign V460563 = V204744 - 1. assign V957851 = V766090 + 1. assign V303899 = V593801 + 1. assign V822512 = V751866. assign V785792 = V116098 - 1. assign V316392 = V592422. assign V134312 = V116098. assign V286686 = V251577. assign V935424 = V532875 - 1. assign V053145 = V966748 + 1. assign V836223 = V202702. assign V259845 = V181306. assign V270398 = V936490. assign V661691 = V046134 - 1. assign V331894 = V926559. assign V816754 = V532875. assign V763258 = V617549 - 1. assign V819179 = V475039 + 1. assign V361992 = V516377. assign V741481 = V238995 - 1. assign V999498 = V773022 - 1. assign V547674 = V594479 - 1. assign V795950 = V773022 + 1. assign V862060 = V758068. assign V950504 = V114732 + 1. assign V911206 = V951394. assign V216041 = V030536 + 1. assign V946642 = V468341. assign V314336 = V134312 - 1. assign V583949 = V592422 - 1. assign V004793 = V416524. assign V273256 = V497144 + 1. assign V889636 = V798852 - 1. assign V676489 = V037529 + 1. assign V755737 = V216041 + 1. assign V617549 = V030536. assign V524006 = V972564 + 1. assign V984149 = V057267. assign V031394 = V331894 - 1. assign V263175 = V954654 + 1. assign V593801 = V526792 - 1. assign V646632 = V122564 - 1. assign V432969 = V926559 + 1. assign V994280 = V030536 + 1. assign V104476 = V497144 - 1. assign V420228 = V772083. assign V571826 = V721264 + 1. assign V404762 = V053145 - 1. assign V723629 = V245056 + 1. assign V118478 = V413738 + 1. assign V555388 = V192978 + 1. assign V574000 = V847946. assign V741981 = V273566 - 1. assign V626433 = V475039 + 1. assign V640238 = V926559. assign V751866 = V565622. assign V653735 = V251577 - 1. assign V458742 = V996639. assign V089048 = V635651. assign V924970 = V517881 - 1. assign V471354 = V316392 - 1. assign V000462 = V331894 + 1. assign V667487 = V161015 - 1. assign V698829 = V997883. assign V879929 = V927444 - 1. assign V972564 = V477941. assign V665510 = V617549. assign V113852 = V850664 + 1. assign V685011 = V116098 + 1. assign V413738 = V149795. assign V599863 = V822512 + 1. assign V949432 = V466595 + 1. assign V871262 = V713778 - 1. assign V850664 = V957851 - 1. assign V417224 = V851927 + 1. assign V172375 = V454935. assign V621956 = V565622 + 1. assign V337803 = V251577 - 1. assign V046134 = V838565 - 1. assign V486572 = V261477. assign V297962 = V850664. assign V608108 = V713755. assign V469462 = V404239. assign V149795 = V592422. assign V168621 = V229988 - 1. assign V671510 = V818581 + 1. assign V235988 = V978198 + 1. assign V488476 = V273566. assign V248969 = V416524 - 1. assign V290190 = V123342 - 1. assign V744515 = V116098 + 1. assign V648776 = V626433 + 1. assign V301926 = V126168 + 1. assign V238995 = V532875. assign V773022 = V037529 + 1. assign V742942 = V741981 - 1. assign V951394 = V936490 - 1. assign V701101 = V537743 - 1. assign V341673 = V713778 + 1. assign V468447 = V676903. assign V359217 = V123342 + 1. assign V141840 = V646964. assign V089147 = V245056 + 1. assign V070211 = V758068 - 1. assign V707868 = V986345 + 1. assign V359523 = V326271. assign V986345 = V270398. assign V852166 = V488476 + 1. assign V030536 = V192978. assign V621319 = V123342. assign V532875 = V574000 - 1. assign V497144 = V416524 - 1. assign V474746 = V286878 + 1. assign V717986 = V927444 - 1. assign V174696 = V416524 + 1. assign V416524 = V030536 + 1. assign V120687 = V192978. assign V463956 = V107735 - 1. assign V702344 = V532875. assign V851927 = V174696 - 1. assign V477941 = V238995.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V369119 = V847946 + 1. assign V676903 = V669303. assign V996639 = V064817 + 1. assign V927444 = V209414. assign V997883 = V669303 + 1. assign V966748 = V331894 + 1. assign V122564 = V497144 - 1. assign V539298 = V033824. assign V034616 = V772083 - 1. assign V818581 = V715593 + 1. assign V116098 = V192978. assign V812578 = V475039. assign V943722 = V404239. assign V721264 = V116098 - 1. assign V760596 = V123342. assign V204744 = V816754 + 1. assign V887336 = V621319. assign V862613 = V328859 + 1. assign V212825 = V341905 + 1. assign V831906 = V659998 + 1. assign V179032 = V526792 - 1. assign V772083 = V766090 - 1. assign V701363 = V798852 - 1. assign V017604 = V818581 - 1. assign V027024 = V122369 + 1. assign V229988 = V927444 + 1. assign V424439 = V034616 - 1. assign V617644 = V723629 - 1. assign V902882 = V926559 - 1. assign V251577 = V331894 - 1. assign V468341 = V114732. assign V582213 = V089147 - 1. assign V847946 = V192978 - 1. assign V669303 = V174696. assign V209414 = V192978 + 1. assign V096315 = V889636 + 1. assign V610808 = V149795 - 1. assign V089769 = V667487. assign V526792 = V847946. assign V075790 = V610808. assign V827957 = V468447 - 1. assign V313405 = V647212 - 1. assign V029775 = V418310 + 1. assign V174350 = V617549 - 1. assign V977549 = V772083 - 1. assign V965780 = V286686 - 1. assign V193046 = V676489. assign V758068 = V592422 - 1. assign V849774 = V773725. assign V064817 = V374055. assign V454935 = V853265 - 1. assign V489503 = V544246 - 1. assign V870685 = V665510. assign V842982 = V862613 - 1. assign V899436 = V926559 + 1. assign V347542 = V977549. assign V920791 = V978198 - 1. assign V344528 = V176132. assign V618501 = V512896. assign V978198 = V058575 + 1. assign V544246 = V773725. assign V123342 = V174350 + 1. assign V402440 = V027024 + 1. assign V663116 = V594479 + 1. assign V216999 = V646964 + 1. assign V028671 = V245056 - 1. assign V566208 = V516377 - 1. assign V722250 = V469462. assign V273566 = V174350. assign V181306 = V192978 - 1. assign V335830 = V113852. assign V216543 = V755737. assign V517881 = V853265. assign V748566 = V760596 - 1. assign V033824 = V621956 + 1. assign V789729 = V669303 - 1. assign V326271 = V791787. assign V936490 = V374055 - 1. assign V773725 = V818581 - 1. assign V641663 = V851927 + 1. assign V233677 = V743228. assign V025651 = V617549 - 1. assign V537743 = V595360. assign V182137 = V744515 + 1. assign V840851 = V469462 + 1. assign V701793 = V122564. assign V791787 = V497144 - 1. assign V122369 = V721264 + 1. assign V559294 = V261477 + 1. assign V276863 = V313405 + 1. assign V614707 = V335830 + 1. assign V466593 = V853265 - 1. assign V766090 = V209414. assign V762736 = V116098. assign V362725 = V216041. assign V328859 = V107735 - 1. assign V949006 = V836626 + 1. assign V820359 = V608108 + 1. assign V589271 = V270398 + 1. assign V861837 = V996639 - 1. assign V159235 = V532875. assign V646964 = V209414. assign V331949 = V582213. assign V126168 = V927444 + 1. assign V058575 = V107735 - 1. assign V446958 = V391184. assign V428150 = V432969. assign V245056 = V030536. assign V391184 = V089147. assign V286878 = V847946. assign V462203 = V209414 - 1. assign V874762 = V000337 + 1. assign V015244 = V216999. assign V713755 = V861837 + 1. assign V118629 = V046134. assign V954804 = V646632 + 1. assign V037529 = V791787. assign V966233 = V066919 - 1. assign V978755 = V899436 + 1. assign V743228 = V066917 - 1. assign V556606 = V791787 - 1. assign V106541 = V574000 - 1. assign V022257 = V836626. assign V621912 = V911206 + 1. assign V713778 = V326271 + 1. assign V839157 = V791787 - 1. assign V121538 = V229988. assign V057267 = V758068 - 1. assign V161015 = V822512 + 1. assign V194908 = V965780. assign V717610 = V951394 - 1. assign V574255 = V192978. assign V898838 = V762736 + 1. assign V976106 = V772298 + 1. assign V066917 = V290190 - 1. assign V404239 = V555388. assign V819376 = V849774 - 1. assign V647212 = V812578 + 1. assign V503453 = V273256. assign V341905 = V192978 - 1. assign V646427 = V089147 - 1. assign V479489 = V053145 - 1. assign V772298 = V836626 - 1. assign V414456 = V935424 - 1. assign V650609 = V192978. assign V471349 = V404239 + 1. assign V007356 = V997883 - 1. assign V635651 = V899436. assign V134161 = V936490 - 1. assign V304859 = V984149. assign V884707 = V593801. assign V592914 = V034616 - 1. assign V183700 = V532875 - 1. assign V466595 = V949006 - 1. assign V621773 = V000337 + 1. assign V173046 = V861837 - 1. assign V187971 = V954804 + 1. assign V659998 = V030536. assign V368930 = V176132 + 1. assign V785871 = V118629. assign V167915 = V980573 + 1. assign V475039 = V229988 + 1. assign V594479 = V517881. assign V489747 = V593801. assign V647079 = V053145 + 1. assign V836626 = V216041 - 1. assign V135891 = V341905 + 1. assign V884828 = V031394 + 1. assign V609754 = V593801. assign V374055 = V141840 - 1. assign V694068 = V616834 + 1. assign V000337 = V565622 - 1. assign V997083 = V927444. assign V715593 = 5. assign V697115 = V066917. assign V160206 = V755737. assign V892438 = V027024 + 1. assign V202702 = V313405 - 1. assign V980573 = V120687 + 1. assign V350583 = V276863 + 1. assign V592422 = V216999 - 1. assign V461385 = V477941 + 1. assign V969428 = V617644 - 1. assign V689166 = V635651 + 1. assign V524596 = V949432 - 1. assign V798852 = V935424 - 1. assign V841234 = V418310. assign V238866 = V943722 - 1. assign V901117 = V458742 - 1. assign V114732 = V592422 - 1. assign V709976 = V732201. assign V176132 = V238995 - 1. assign V231816 = V418310 + 1. assign V838565 = V659998. assign V667177 = V676903 + 1. assign V203313 = V949432 - 1. assign V979394 = V416524 - 1. assign V616834 = V404762. assign V062763 = V273566 + 1. assign V732201 = V595360 - 1. assign V582116 = V870685 - 1. assign V979867 = V161015. assign V476778 = V468341 + 1. assign V382224 = V007356 - 1. assign V489444 = V544246 + 1. assign V853265 = V646964 - 1. assign V039791 = V847946 - 1. assign V926559 = V126168. assign V261477 = V404239 + 1. assign V210506 = V524006 - 1. assign V376673 = V640238 - 1. assign V954654 = V665510. assign V965195 = V337803 + 1. assign V903503 = V741481 + 1. assign V595360 = V758068. assign V525599 = V107735 - 1. assign V084984 = V058575. assign V418310 = V760596 - 1. assign V065719 = V957851 + 1. assign V512896 = V555388 - 1. assign V516377 = V713778 - 1. assign V522160 = V391184. assign V297791 = V209414. assign V144153 = V994280 + 1. assign V565622 = V416524 - 1. assign V791154 = V980573 - 1. assign V509447 = V335830 + 1. assign V107735 = V621319 + 1. assign V852896 = V181306. assign V066919 = V174696 - 1. assign V460563 = V204744 - 1. assign V957851 = V766090 + 1. assign V303899 = V593801 + 1. assign V822512 = V751866. assign V785792 = V116098 - 1. assign V316392 = V592422. assign V134312 = V116098. assign V286686 = V251577. assign V935424 = V532875 - 1. assign V053145 = V966748 + 1. assign V836223 = V202702. assign V259845 = V181306. assign V270398 = V936490. assign V661691 = V046134 - 1. assign V331894 = V926559. assign V816754 = V532875. assign V763258 = V617549 - 1. assign V819179 = V475039 + 1. assign V361992 = V516377. assign V741481 = V238995 - 1. assign V999498 = V773022 - 1. assign V547674 = V594479 - 1. assign V795950 = V773022 + 1. assign V862060 = V758068. assign V950504 = V114732 + 1. assign V911206 = V951394. assign V216041 = V030536 + 1. assign V946642 = V468341. assign V314336 = V134312 - 1. assign V583949 = V592422 - 1. assign V004793 = V416524. assign V273256 = V497144 + 1. assign V889636 = V798852 - 1. assign V676489 = V037529 + 1. assign V755737 = V216041 + 1. assign V617549 = V030536. assign V524006 = V972564 + 1. assign V984149 = V057267. assign V031394 = V331894 - 1. assign V263175 = V954654 + 1. assign V593801 = V526792 - 1. assign V646632 = V122564 - 1. assign V432969 = V926559 + 1. assign V994280 = V030536 + 1. assign V104476 = V497144 - 1. assign V420228 = V772083. assign V571826 = V721264 + 1. assign V404762 = V053145 - 1. assign V723629 = V245056 + 1. assign V118478 = V413738 + 1. assign V555388 = V192978 + 1. assign V574000 = V847946. assign V741981 = V273566 - 1. assign V626433 = V475039 + 1. assign V640238 = V926559. assign V751866 = V565622. assign V653735 = V251577 - 1. assign V458742 = V996639. assign V089048 = V635651. assign V924970 = V517881 - 1. assign V471354 = V316392 - 1. assign V000462 = V331894 + 1. assign V667487 = V161015 - 1. assign V698829 = V997883. assign V879929 = V927444 - 1. assign V972564 = V477941. assign V665510 = V617549. assign V113852 = V850664 + 1. assign V685011 = V116098 + 1. assign V413738 = V149795. assign V599863 = V822512 + 1. assign V949432 = V466595 + 1. assign V871262 = V713778 - 1. assign V850664 = V957851 - 1. assign V417224 = V851927 + 1. assign V172375 = V454935. assign V621956 = V565622 + 1. assign V337803 = V251577 - 1. assign V046134 = V838565 - 1. assign V486572 = V261477. assign V297962 = V850664. assign V608108 = V713755. assign V469462 = V404239. assign V149795 = V592422. assign V168621 = V229988 - 1. assign V671510 = V818581 + 1. assign V235988 = V978198 + 1. assign V488476 = V273566. assign V248969 = V416524 - 1. assign V290190 = V123342 - 1. assign V744515 = V116098 + 1. assign V648776 = V626433 + 1. assign V301926 = V126168 + 1. assign V238995 = V532875. assign V773022 = V037529 + 1. assign V742942 = V741981 - 1. assign V951394 = V936490 - 1. assign V701101 = V537743 - 1. assign V341673 = V713778 + 1. assign V468447 = V676903. assign V359217 = V123342 + 1. assign V141840 = V646964. assign V089147 = V245056 + 1. assign V070211 = V758068 - 1. assign V707868 = V986345 + 1. assign V359523 = V326271. assign V986345 = V270398. assign V852166 = V488476 + 1. assign V030536 = V192978. assign V621319 = V123342. assign V532875 = V574000 - 1. assign V497144 = V416524 - 1. assign V474746 = V286878 + 1. assign V717986 = V927444 - 1. assign V174696 = V416524 + 1. assign V416524 = V030536 + 1. assign V120687 = V192978. assign V463956 = V107735 - 1. assign V702344 = V532875. assign V851927 = V174696 - 1. assign V477941 = V238995.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV715593 = 5;\n\nFrom these direct assignment(s), we have: \nV818581 = V715593 + 1 = 5 + 1 =6;\nV671510 = V818581 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V671510;\nV773725 = V818581 - 1 = 6 - 1 =5;\nV544246 = V773725 = 5;\nV489444 = V544246 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V489444;\nV489503 = V544246 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V489503;\nNo other varaibles can be derived from V544246;\nV849774 = V773725 = 5;\nV819376 = V849774 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V819376;\nNo other varaibles can be derived from V849774;\nNo other varaibles can be derived from V773725;\nV017604 = V818581 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V017604;\nNo other varaibles can be derived from V818581;\nNo other varaibles can be derived from V715593;\n\nNow we have done all the calculations. Derived variables are:\nV715593 = 5;\nV818581 = 6;\nV671510 = 7;\nV773725 = 5;\nV544246 = 5;\nV489444 = 6;\nV489503 = 4;\nV849774 = 5;\nV819376 = 4;\nV017604 = 5;\n\nNow we have finished this problem. ANSWER:\nV671510\n", "role": "assistant" } ]

[ "V827515", "V335710", "V172927" ]

[ { "content": "<context>\nassign V706972 = V423640. assign V394562 = V425193 + 1. assign V757323 = V223114 + 1. assign V443683 = V805743. assign V445096 = V098475. assign V433224 = V740671 - 1. assign V639813 = V758742 - 1. assign V747869 = V797843 - 1. assign V447211 = V520454 - 1. assign V015239 = V740719 + 1. assign V371798 = V539937 + 1. assign V216826 = V548631 + 1. assign V107760 = V191647 - 1. assign V524824 = V066943 - 1. assign V439818 = V620512 - 1. assign V053119 = V939932. assign V898381 = V914956 + 1. assign V134450 = V362667 + 1. assign V495623 = V016155 + 1. assign V542928 = V924878 - 1. assign V852696 = V237091. assign V880644 = V086995 + 1. assign V481066 = V287912. assign V718731 = V811111 - 1. assign V475022 = V548631 + 1. assign V398733 = V915405 + 1. assign V423527 = V895955. assign V222510 = V425193 - 1. assign V161243 = V620512 - 1. assign V900053 = V873780. assign V866441 = V919759. assign V710517 = V492173. assign V523986 = V898262 - 1. assign V902418 = V266672 - 1. assign V469163 = V256392 + 1. assign V149023 = V159158. assign V071285 = V740719 - 1. assign V262884 = V934388 + 1. assign V981125 = V172927 + 1. assign V129185 = V880644 + 1. assign V336878 = V008097. assign V592848 = V827855. assign V413290 = V885566 + 1. assign V920878 = V605222 - 1. assign V191647 = V159158 + 1. assign V520454 = V624467 + 1. assign V033535 = V384339 + 1. assign V088110 = V046875 + 1. assign V549598 = V566759. assign V797843 = V910157 - 1. assign V504786 = V219678. assign V817754 = V351854. assign V248987 = V747869. assign V873780 = V439181 + 1. assign V266672 = V638775. assign V910157 = V627601 + 1. assign V605222 = V475018. assign V970942 = V166015 + 1. assign V674558 = V289338 - 1. assign V827855 = V805743. assign V898262 = V539937. assign V817901 = V877967. assign V604439 = V209512 - 1. assign V805743 = V425193 - 1. assign V770413 = V369066 + 1. assign V351854 = V499812 - 1. assign V323986 = V960102. assign V924878 = V554952. assign V896694 = V254372 + 1. assign V511850 = V464192 - 1. assign V770085 = V914956 - 1. assign V193900 = V740719 + 1. assign V966047 = V382017 + 1. assign V139350 = V927264. assign V780825 = V548631. assign V895955 = V008097 - 1. assign V079288 = V382017 + 1. assign V739609 = V075662. assign V276504 = V473444. assign V914956 = V939932 + 1. assign V740719 = V914956. assign V335710 = V289338 + 1. assign V514495 = V764622 + 1. assign V847071 = V962313 - 1. assign V877157 = V594745 - 1. assign V236159 = V881618. assign V919759 = V236159 + 1. assign V823273 = V275739 + 1. assign V190447 = V650841 + 1. assign V091944 = V620512 + 1. assign V888844 = V901673. assign V899277 = V764622 - 1. assign V083649 = V620512. assign V826668 = V489580. assign V893193 = V740719. assign V545556 = V032411 + 1. assign V066943 = V332433 - 1. assign V075662 = V899277 - 1. assign V423640 = V287912 - 1. assign V650841 = V548631 - 1. assign V845429 = V256392 + 1. assign V776055 = V839136 - 1. assign V317860 = V335710 + 1. assign V621058 = V539937 + 1. assign V209013 = V770085 - 1. assign V730474 = V627601. assign V624211 = V994676 + 1. assign V877967 = V384339 - 1. assign V624467 = V219678 - 1. assign V902366 = V205550. assign V539937 = V008097 + 1. assign V077472 = V910157 - 1. assign V920815 = V495458. assign V510747 = V700427. assign V332433 = V898381 - 1. assign V384339 = V143729. assign V538667 = V689328. assign V847021 = V939932 - 1. assign V957206 = V915917 - 1. assign V013118 = V143729 + 1. assign V236299 = V510747 + 1. assign V785306 = V057898 + 1. assign V982602 = V205550 + 1. assign V439181 = V957206 + 1. assign V705949 = V524045. assign V354886 = V499812 + 1. assign V116055 = V423640 + 1. assign V262419 = V954960 - 1. assign V994676 = V960102 - 1. assign V129801 = V805743 - 1. assign V064061 = V495458 - 1. assign V916858 = V773444. assign V177632 = V780825 + 1. assign V966243 = V556263 - 1. assign V839136 = V205550. assign V559073 = V443683 - 1. assign V219678 = V939932 + 1. assign V981969 = V944282. assign V438051 = V527847. assign V611915 = V527847 - 1. assign V254372 = V939932. assign V431517 = V057898 + 1. assign V275739 = V514495 + 1. assign V524045 = V281808 + 1. assign V807156 = V566759. assign V311642 = V898381. assign V473444 = V639813. assign V085598 = V982602 - 1. assign V473466 = V495458. assign V742548 = V033807 + 1. assign V362667 = V844060. assign V139729 = V620512 + 1. assign V900864 = V381751 - 1. assign V833703 = V665355 + 1. assign V835137 = V852446 - 1. assign V314258 = V571352 + 1. assign V057898 = V443683. assign V820353 = V827515 + 1. assign V308221 = V064096 - 1. assign V901673 = V042005 + 1. assign V661509 = V624211 + 1. assign V278279 = V317860 + 1. assign V499812 = V852696 + 1. assign V035049 = V571352. assign V942018 = V256392 + 1. assign V934388 = V351854 + 1. assign V281808 = V465552 - 1. assign V638775 = V627601. assign V502915 = V221212 - 1. assign V489580 = V650841. assign V883266 = V370893 - 1. assign V019799 = V972157 - 1. assign V206059 = V262419. assign V812772 = V939932 + 1. assign V265954 = V706972 - 1. assign V944514 = V982602 + 1. assign V847149 = V395273 - 1. assign V214458 = V915917 - 1. assign V151844 = V139350 + 1. assign V008097 = V219678 - 1. assign V764622 = V627601. assign V554242 = V088110. assign V747858 = V046875 - 1. assign V064096 = V219678. assign V640399 = V482762. assign V220691 = V425193. assign V982355 = V423527 - 1. assign V351464 = V898262 - 1. assign V063399 = V661509. assign V557853 = V624467 + 1. assign V684090 = V287912 + 1. assign V278952 = V620512 - 1. assign V241820 = V742429. assign V014764 = V514495 + 1. assign V444383 = V881618 + 1. assign V886635 = V107760 - 1. assign V369066 = V914956. assign V566759 = V272879 + 1. assign V475018 = V425193 - 1. assign V016155 = V139729. assign V166015 = V620512 + 1. assign V137960 = V077472 - 1. assign V382017 = V640399 + 1. assign V917553 = V648653 - 1. assign V316123 = V033807. assign V032411 = V529421 - 1. assign V948485 = V800786. assign V849955 = V620512. assign V424753 = V740719. assign V528162 = V447211 - 1. assign V139897 = V330334 + 1. assign V529421 = V740719 + 1. assign V113901 = V757323 + 1. assign V156774 = V993313 - 1. assign V648653 = V972157. assign V408595 = V238933 + 1. assign V368961 = V640399 + 1. assign V453993 = V191647. assign V255106 = V495458. assign V044765 = V445096. assign V464192 = V849955 + 1. assign V137292 = V538667. assign V973555 = V566759. assign V944282 = V827855. assign V811111 = V556263 + 1. assign V588065 = V015239. assign V221212 = V008097 - 1. assign V586484 = V902366. assign V598174 = V621058 + 1. assign V237091 = V159158 - 1. assign V293499 = V650841 + 1. assign V482762 = V514495 - 1. assign V098475 = V982602. assign V173297 = V527847. assign V808378 = V839136. assign V297552 = V605222. assign V055360 = V898381 - 1. assign V209512 = V689328. assign V624742 = V216826. assign V365999 = V193900 - 1. assign V556263 = V993313 + 1. assign V465552 = V740719. assign V520982 = V482762. assign V954960 = V281808 + 1. assign V035741 = V844060 - 1. assign V670153 = V981969. assign V653359 = V013118 - 1. assign V145776 = V880644 - 1. assign V427754 = V901673. assign V515737 = V627601. assign V690429 = V489580 + 1. assign V159158 = V899277 + 1. assign V977071 = V137960 - 1. assign V702620 = V966047 - 1. assign V837879 = V689328 - 1. assign V338939 = V539937 + 1. assign V993313 = V025605 + 1. assign V742429 = V369066 - 1. assign V033807 = V281808 - 1. assign V025605 = V638775. assign V514212 = V817901 - 1. assign V571352 = V770085 + 1. assign V323979 = V502915 - 1. assign V370893 = V847021. assign V101962 = V369066. assign V031165 = V849955 - 1. assign V969712 = V883266. assign V800786 = V425193 + 1. assign V823998 = V465552 - 1. assign V205550 = V559073. assign V022375 = V191647 - 1. assign V040238 = V129801 - 1. assign V742821 = V977071 - 1. assign V740671 = V800786 + 1. assign V827515 = 3. assign V690335 = V254372 - 1. assign V594745 = V502915. assign V289338 = V827515 - 1. assign V844060 = V845429 + 1. assign V270646 = V638775. assign V143729 = V335025. assign V086995 = V627601 - 1. assign V431077 = V098475 - 1. assign V978898 = V338939 + 1. assign V223114 = V529421 + 1. assign V407435 = V966243. assign V273256 = V475022 + 1. assign V594884 = V559073 - 1. assign V272879 = V805743 - 1. assign V233854 = V205550 + 1. assign V116489 = V954960. assign V620512 = V627601 - 1. assign V768008 = V266672 - 1. assign V172927 = V335710. assign V758742 = V689328 - 1. assign V689328 = V064096. assign V080439 = V317860 + 1. assign V665355 = V805743. assign V885566 = V113901 + 1. assign V960102 = V837879 - 1. assign V287912 = V237091. assign V422538 = V423640. assign V551380 = V548631 - 1. assign V335025 = V881618 - 1. assign V700427 = V256392. assign V330334 = V514495 + 1. assign V686993 = V527847. assign V846076 = V805743 - 1. assign V881610 = V055360 - 1. assign V042005 = V369066 + 1. assign V091511 = V527847. assign V256392 = V627601. assign V527847 = V492173 - 1. assign V962313 = V254372. assign V881618 = V805743 + 1. assign V371383 = V161243. assign V818038 = V015239 - 1. assign V364394 = V272879. assign V125413 = V475022. assign V972157 = V520454. assign V773444 = V216826 + 1. assign V495458 = V384339. assign V915917 = V924878 - 1. assign V871383 = V162220 + 1. assign V590320 = V469163 - 1. assign V074096 = V888844 + 1. assign V927264 = V740719 - 1. assign V554952 = V764622. assign V915405 = V293499 + 1. assign V209475 = V966047. assign V645585 = V970942 + 1. assign V492173 = V559073 - 1. assign V461794 = V939932. assign V627601 = V939932. assign V046875 = V898381 + 1. assign V657567 = V384339 - 1. assign V852446 = V354886. assign V194459 = V845429 - 1. assign V425193 = V610713 - 1. assign V548631 = V166015 - 1. assign V610713 = V910157 - 1. assign V642938 = V297552 + 1. assign V395273 = V219678 - 1. assign V833079 = V064096 + 1. assign V162220 = V684090 - 1. assign V704143 = V548631. assign V238933 = V805743. assign V979527 = V236159 + 1. assign V381751 = V166015 + 1. assign V426490 = V524824. assign V288032 = V966243 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V706972 = V423640. assign V394562 = V425193 + 1. assign V757323 = V223114 + 1. assign V443683 = V805743. assign V445096 = V098475. assign V433224 = V740671 - 1. assign V639813 = V758742 - 1. assign V747869 = V797843 - 1. assign V447211 = V520454 - 1. assign V015239 = V740719 + 1. assign V371798 = V539937 + 1. assign V216826 = V548631 + 1. assign V107760 = V191647 - 1. assign V524824 = V066943 - 1. assign V439818 = V620512 - 1. assign V053119 = V939932. assign V898381 = V914956 + 1. assign V134450 = V362667 + 1. assign V495623 = V016155 + 1. assign V542928 = V924878 - 1. assign V852696 = V237091. assign V880644 = V086995 + 1. assign V481066 = V287912. assign V718731 = V811111 - 1. assign V475022 = V548631 + 1. assign V398733 = V915405 + 1. assign V423527 = V895955. assign V222510 = V425193 - 1. assign V161243 = V620512 - 1. assign V900053 = V873780. assign V866441 = V919759. assign V710517 = V492173. assign V523986 = V898262 - 1. assign V902418 = V266672 - 1. assign V469163 = V256392 + 1. assign V149023 = V159158. assign V071285 = V740719 - 1. assign V262884 = V934388 + 1. assign V981125 = V172927 + 1. assign V129185 = V880644 + 1. assign V336878 = V008097. assign V592848 = V827855. assign V413290 = V885566 + 1. assign V920878 = V605222 - 1. assign V191647 = V159158 + 1. assign V520454 = V624467 + 1. assign V033535 = V384339 + 1. assign V088110 = V046875 + 1. assign V549598 = V566759. assign V797843 = V910157 - 1. assign V504786 = V219678. assign V817754 = V351854. assign V248987 = V747869. assign V873780 = V439181 + 1. assign V266672 = V638775. assign V910157 = V627601 + 1. assign V605222 = V475018. assign V970942 = V166015 + 1. assign V674558 = V289338 - 1. assign V827855 = V805743. assign V898262 = V539937. assign V817901 = V877967. assign V604439 = V209512 - 1. assign V805743 = V425193 - 1. assign V770413 = V369066 + 1. assign V351854 = V499812 - 1. assign V323986 = V960102. assign V924878 = V554952. assign V896694 = V254372 + 1. assign V511850 = V464192 - 1. assign V770085 = V914956 - 1. assign V193900 = V740719 + 1. assign V966047 = V382017 + 1. assign V139350 = V927264. assign V780825 = V548631. assign V895955 = V008097 - 1. assign V079288 = V382017 + 1. assign V739609 = V075662. assign V276504 = V473444. assign V914956 = V939932 + 1. assign V740719 = V914956. assign V335710 = V289338 + 1. assign V514495 = V764622 + 1. assign V847071 = V962313 - 1. assign V877157 = V594745 - 1. assign V236159 = V881618. assign V919759 = V236159 + 1. assign V823273 = V275739 + 1. assign V190447 = V650841 + 1. assign V091944 = V620512 + 1. assign V888844 = V901673. assign V899277 = V764622 - 1. assign V083649 = V620512. assign V826668 = V489580. assign V893193 = V740719. assign V545556 = V032411 + 1. assign V066943 = V332433 - 1. assign V075662 = V899277 - 1. assign V423640 = V287912 - 1. assign V650841 = V548631 - 1. assign V845429 = V256392 + 1. assign V776055 = V839136 - 1. assign V317860 = V335710 + 1. assign V621058 = V539937 + 1. assign V209013 = V770085 - 1. assign V730474 = V627601. assign V624211 = V994676 + 1. assign V877967 = V384339 - 1. assign V624467 = V219678 - 1. assign V902366 = V205550. assign V539937 = V008097 + 1. assign V077472 = V910157 - 1. assign V920815 = V495458. assign V510747 = V700427. assign V332433 = V898381 - 1. assign V384339 = V143729. assign V538667 = V689328. assign V847021 = V939932 - 1. assign V957206 = V915917 - 1. assign V013118 = V143729 + 1. assign V236299 = V510747 + 1. assign V785306 = V057898 + 1. assign V982602 = V205550 + 1. assign V439181 = V957206 + 1. assign V705949 = V524045. assign V354886 = V499812 + 1. assign V116055 = V423640 + 1. assign V262419 = V954960 - 1. assign V994676 = V960102 - 1. assign V129801 = V805743 - 1. assign V064061 = V495458 - 1. assign V916858 = V773444. assign V177632 = V780825 + 1. assign V966243 = V556263 - 1. assign V839136 = V205550. assign V559073 = V443683 - 1. assign V219678 = V939932 + 1. assign V981969 = V944282. assign V438051 = V527847. assign V611915 = V527847 - 1. assign V254372 = V939932. assign V431517 = V057898 + 1. assign V275739 = V514495 + 1. assign V524045 = V281808 + 1. assign V807156 = V566759. assign V311642 = V898381. assign V473444 = V639813. assign V085598 = V982602 - 1. assign V473466 = V495458. assign V742548 = V033807 + 1. assign V362667 = V844060. assign V139729 = V620512 + 1. assign V900864 = V381751 - 1. assign V833703 = V665355 + 1. assign V835137 = V852446 - 1. assign V314258 = V571352 + 1. assign V057898 = V443683. assign V820353 = V827515 + 1. assign V308221 = V064096 - 1. assign V901673 = V042005 + 1. assign V661509 = V624211 + 1. assign V278279 = V317860 + 1. assign V499812 = V852696 + 1. assign V035049 = V571352. assign V942018 = V256392 + 1. assign V934388 = V351854 + 1. assign V281808 = V465552 - 1. assign V638775 = V627601. assign V502915 = V221212 - 1. assign V489580 = V650841. assign V883266 = V370893 - 1. assign V019799 = V972157 - 1. assign V206059 = V262419. assign V812772 = V939932 + 1. assign V265954 = V706972 - 1. assign V944514 = V982602 + 1. assign V847149 = V395273 - 1. assign V214458 = V915917 - 1. assign V151844 = V139350 + 1. assign V008097 = V219678 - 1. assign V764622 = V627601. assign V554242 = V088110. assign V747858 = V046875 - 1. assign V064096 = V219678. assign V640399 = V482762. assign V220691 = V425193. assign V982355 = V423527 - 1. assign V351464 = V898262 - 1. assign V063399 = V661509. assign V557853 = V624467 + 1. assign V684090 = V287912 + 1. assign V278952 = V620512 - 1. assign V241820 = V742429. assign V014764 = V514495 + 1. assign V444383 = V881618 + 1. assign V886635 = V107760 - 1. assign V369066 = V914956. assign V566759 = V272879 + 1. assign V475018 = V425193 - 1. assign V016155 = V139729. assign V166015 = V620512 + 1. assign V137960 = V077472 - 1. assign V382017 = V640399 + 1. assign V917553 = V648653 - 1. assign V316123 = V033807. assign V032411 = V529421 - 1. assign V948485 = V800786. assign V849955 = V620512. assign V424753 = V740719. assign V528162 = V447211 - 1. assign V139897 = V330334 + 1. assign V529421 = V740719 + 1. assign V113901 = V757323 + 1. assign V156774 = V993313 - 1. assign V648653 = V972157. assign V408595 = V238933 + 1. assign V368961 = V640399 + 1. assign V453993 = V191647. assign V255106 = V495458. assign V044765 = V445096. assign V464192 = V849955 + 1. assign V137292 = V538667. assign V973555 = V566759. assign V944282 = V827855. assign V811111 = V556263 + 1. assign V588065 = V015239. assign V221212 = V008097 - 1. assign V586484 = V902366. assign V598174 = V621058 + 1. assign V237091 = V159158 - 1. assign V293499 = V650841 + 1. assign V482762 = V514495 - 1. assign V098475 = V982602. assign V173297 = V527847. assign V808378 = V839136. assign V297552 = V605222. assign V055360 = V898381 - 1. assign V209512 = V689328. assign V624742 = V216826. assign V365999 = V193900 - 1. assign V556263 = V993313 + 1. assign V465552 = V740719. assign V520982 = V482762. assign V954960 = V281808 + 1. assign V035741 = V844060 - 1. assign V670153 = V981969. assign V653359 = V013118 - 1. assign V145776 = V880644 - 1. assign V427754 = V901673. assign V515737 = V627601. assign V690429 = V489580 + 1. assign V159158 = V899277 + 1. assign V977071 = V137960 - 1. assign V702620 = V966047 - 1. assign V837879 = V689328 - 1. assign V338939 = V539937 + 1. assign V993313 = V025605 + 1. assign V742429 = V369066 - 1. assign V033807 = V281808 - 1. assign V025605 = V638775. assign V514212 = V817901 - 1. assign V571352 = V770085 + 1. assign V323979 = V502915 - 1. assign V370893 = V847021. assign V101962 = V369066. assign V031165 = V849955 - 1. assign V969712 = V883266. assign V800786 = V425193 + 1. assign V823998 = V465552 - 1. assign V205550 = V559073. assign V022375 = V191647 - 1. assign V040238 = V129801 - 1. assign V742821 = V977071 - 1. assign V740671 = V800786 + 1. assign V827515 = 3. assign V690335 = V254372 - 1. assign V594745 = V502915. assign V289338 = V827515 - 1. assign V844060 = V845429 + 1. assign V270646 = V638775. assign V143729 = V335025. assign V086995 = V627601 - 1. assign V431077 = V098475 - 1. assign V978898 = V338939 + 1. assign V223114 = V529421 + 1. assign V407435 = V966243. assign V273256 = V475022 + 1. assign V594884 = V559073 - 1. assign V272879 = V805743 - 1. assign V233854 = V205550 + 1. assign V116489 = V954960. assign V620512 = V627601 - 1. assign V768008 = V266672 - 1. assign V172927 = V335710. assign V758742 = V689328 - 1. assign V689328 = V064096. assign V080439 = V317860 + 1. assign V665355 = V805743. assign V885566 = V113901 + 1. assign V960102 = V837879 - 1. assign V287912 = V237091. assign V422538 = V423640. assign V551380 = V548631 - 1. assign V335025 = V881618 - 1. assign V700427 = V256392. assign V330334 = V514495 + 1. assign V686993 = V527847. assign V846076 = V805743 - 1. assign V881610 = V055360 - 1. assign V042005 = V369066 + 1. assign V091511 = V527847. assign V256392 = V627601. assign V527847 = V492173 - 1. assign V962313 = V254372. assign V881618 = V805743 + 1. assign V371383 = V161243. assign V818038 = V015239 - 1. assign V364394 = V272879. assign V125413 = V475022. assign V972157 = V520454. assign V773444 = V216826 + 1. assign V495458 = V384339. assign V915917 = V924878 - 1. assign V871383 = V162220 + 1. assign V590320 = V469163 - 1. assign V074096 = V888844 + 1. assign V927264 = V740719 - 1. assign V554952 = V764622. assign V915405 = V293499 + 1. assign V209475 = V966047. assign V645585 = V970942 + 1. assign V492173 = V559073 - 1. assign V461794 = V939932. assign V627601 = V939932. assign V046875 = V898381 + 1. assign V657567 = V384339 - 1. assign V852446 = V354886. assign V194459 = V845429 - 1. assign V425193 = V610713 - 1. assign V548631 = V166015 - 1. assign V610713 = V910157 - 1. assign V642938 = V297552 + 1. assign V395273 = V219678 - 1. assign V833079 = V064096 + 1. assign V162220 = V684090 - 1. assign V704143 = V548631. assign V238933 = V805743. assign V979527 = V236159 + 1. assign V381751 = V166015 + 1. assign V426490 = V524824. assign V288032 = V966243 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV827515 = 3;\n\nFrom these direct assignment(s), we have: \nV289338 = V827515 - 1 = 3 - 1 =2;\nV335710 = V289338 + 1 = 2 + 1 =3;\nV172927 = V335710 = 3;\nV981125 = V172927 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V981125;\nNo other varaibles can be derived from V172927;\nV317860 = V335710 + 1 = 3 + 1 =4;\nV080439 = V317860 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V080439;\nV278279 = V317860 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V278279;\nNo other varaibles can be derived from V317860;\nNo other varaibles can be derived from V335710;\nV674558 = V289338 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V674558;\nNo other varaibles can be derived from V289338;\nV820353 = V827515 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V820353;\nNo other varaibles can be derived from V827515;\n\nNow we have done all the calculations. Derived variables are:\nV827515 = 3;\nV289338 = 2;\nV335710 = 3;\nV172927 = 3;\nV981125 = 4;\nV317860 = 4;\nV080439 = 5;\nV278279 = 5;\nV674558 = 1;\nV820353 = 4;\n\nNow we have finished this problem. ANSWER:\nV827515, V335710, V172927\n", "role": "assistant" } ]

[ "V731402", "V032751", "V632192", "V630534", "V420401" ]

[ { "content": "<context>\nassign V907208 = V502440. assign V345504 = V209804 + 1. assign V760749 = V260820. assign V390747 = V287631. assign V204030 = V587192 + 1. assign V216645 = V768391 + 1. assign V570451 = V695475 - 1. assign V099140 = V892854 - 1. assign V702622 = V574329 + 1. assign V785122 = V922067 + 1. assign V502440 = V189697 - 1. assign V578180 = V882372 + 1. assign V919473 = V323123 + 1. assign V900578 = V768391 - 1. assign V450428 = V679012 - 1. assign V704461 = V122692 - 1. assign V286859 = V196712. assign V792140 = V743268 - 1. assign V352324 = V749872. assign V726361 = V882563 + 1. assign V220054 = V922067. assign V380920 = V601259 + 1. assign V811936 = V441292 - 1. assign V447523 = V325013. assign V129192 = V022570 + 1. assign V002021 = V858489 - 1. assign V783947 = V606919. assign V467605 = V510580 + 1. assign V765628 = V286859 - 1. assign V620836 = V260820 + 1. assign V084874 = V822724 + 1. assign V516505 = V653966 + 1. assign V186308 = V320458 - 1. assign V895669 = V785122. assign V679012 = V882563 + 1. assign V868982 = V837008 + 1. assign V808231 = V960079 + 1. assign V208064 = V814347. assign V325013 = V538447. assign V717119 = V003371 + 1. assign V005309 = V252400 + 1. assign V960079 = V057257. assign V883387 = V323123 + 1. assign V514811 = V131093. assign V479111 = V084549 + 1. assign V700710 = V287631. assign V057844 = V574329 - 1. assign V423744 = V086561 - 1. assign V922067 = V892854. assign V573902 = V785122 + 1. assign V352163 = V135573. assign V209804 = V220054. assign V084549 = V946115 - 1. assign V853339 = V822724 + 1. assign V382874 = V189999 - 1. assign V029670 = V475460 + 1. assign V574329 = V962032. assign V768394 = V756532 + 1. assign V121907 = V558276. assign V156454 = V522171. assign V510580 = V975108 - 1. assign V777290 = V156454. assign V862085 = V900578 - 1. assign V745356 = V892854. assign V468077 = V946115 - 1. assign V544092 = V792119 + 1. assign V891537 = V268677 + 1. assign V592191 = V473445 + 1. assign V731402 = 7. assign V417548 = V717852 + 1. assign V473445 = V450428 - 1. assign V822617 = V822191 - 1. assign V330787 = V705289 + 1. assign V622027 = V731402 - 1. assign V824924 = V225893 + 1. assign V421470 = V495533. assign V502527 = V892854 + 1. assign V538447 = V822724 + 1. assign V799920 = V586639. assign V128658 = V946115 + 1. assign V730481 = V919473 - 1. assign V845257 = V274668. assign V362659 = V814347 + 1. assign V995583 = V907208 + 1. assign V573873 = V891537 - 1. assign V912120 = V022570 - 1. assign V792119 = V122692 - 1. assign V424040 = V034167 - 1. assign V882563 = V590553 + 1. assign V423178 = V730481. assign V903724 = V975108 + 1. assign V420401 = V032751. assign V557468 = V894412. assign V606919 = V268677 + 1. assign V910068 = V417548 - 1. assign V558276 = V489528 + 1. assign V419583 = V960079 - 1. assign V597123 = V649734. assign V883071 = V720741. assign V873034 = V544092 + 1. assign V925588 = V506361 - 1. assign V699411 = V131118. assign V658064 = V598953. assign V813198 = V550362. assign V217615 = V606919 + 1. assign V287631 = V118081 + 1. assign V768391 = V022570 + 1. assign V598953 = V229767 + 1. assign V349513 = V975108. assign V716268 = V348869. assign V441292 = V467605 - 1. assign V385420 = V590553 - 1. assign V720741 = V057844 + 1. assign V037201 = V680696 - 1. assign V063117 = V614853. assign V843172 = V574126 + 1. assign V209165 = V892854 - 1. assign V837008 = V969388 + 1. assign V253376 = V962032 - 1. assign V194243 = V084549. assign V709297 = V287631. assign V882372 = V323123 - 1. assign V937945 = V561858 + 1. assign V522171 = V892854. assign V969388 = V561858 + 1. assign V071707 = V895669 + 1. assign V276077 = V538447 + 1. assign V101442 = V225893 - 1. assign V131118 = V182672 + 1. assign V489528 = V636799 + 1. assign V554073 = V616187 - 1. assign V026113 = V521129. assign V135573 = V182672 + 1. assign V122692 = V550362 + 1. assign V563111 = V220054. assign V486481 = V680696 - 1. assign V509443 = V032751 - 1. assign V814347 = V969388. assign V931199 = V853339 - 1. assign V042946 = V423181. assign V996339 = V274668. assign V336858 = V598953. assign V623479 = V598317. assign V054015 = V717852. assign V550362 = V925588 - 1. assign V032751 = V731402. assign V444274 = V182672 - 1. assign V669088 = V522171 + 1. assign V895393 = V922067 - 1. assign V283638 = V054519 - 1. assign V898595 = V444274 + 1. assign V252400 = V575433 - 1. assign V787535 = V492623 + 1. assign V766277 = V717119. assign V149488 = V128658. assign V858489 = V005309 - 1. assign V574126 = V777290 - 1. assign V046924 = V922067 + 1. assign V570608 = V680092 - 1. assign V792041 = V380920 - 1. assign V099786 = V590553 - 1. assign V762622 = V632192 - 1. assign V835463 = V364787 + 1. assign V615215 = V561858 + 1. assign V558245 = V561858 - 1. assign V081827 = V000472 - 1. assign V260820 = V822724 - 1. assign V568586 = V730481 + 1. assign V826764 = V717806 + 1. assign V189999 = V236813 - 1. assign V176151 = V128658 - 1. assign V225893 = V274668. assign V015324 = V168376. assign V183791 = V730481 + 1. assign V067313 = V636530 - 1. assign V796672 = V473445. assign V953828 = V951326. assign V630534 = V762622 + 1. assign V743268 = V900578 - 1. assign V003608 = V385420. assign V598317 = V479111 - 1. assign V352934 = V587192. assign V492332 = V760749. assign V444154 = V506361. assign V192471 = V570608 - 1. assign V636530 = V550362. assign V071796 = V749872 - 1. assign V486893 = V003371 - 1. assign V749872 = V118081 - 1. assign V695475 = V287631 - 1. assign V732467 = V003371. assign V590553 = V220054. assign V131093 = V268677 + 1. assign V268677 = V975108 + 1. assign V440376 = V406684 + 1. assign V667040 = V492623 - 1. assign V658369 = V352934 - 1. assign V946359 = V731402 - 1. assign V368194 = V186308. assign V680696 = V310799 + 1. assign V614853 = V479111. assign V164154 = V176151 - 1. assign V635873 = V517186. assign V692648 = V765628. assign V471338 = V937945. assign V086561 = V260820 + 1. assign V148711 = V325013 + 1. assign V655860 = V260820 + 1. assign V717860 = V084549 + 1. assign V229767 = V209804 + 1. assign V973454 = V620836. assign V323069 = V620836 + 1. assign V321478 = V209165 - 1. assign V266655 = V597123 + 1. assign V348869 = V495239 - 1. assign V687903 = V561858 - 1. assign V822724 = V649734 - 1. assign V501962 = V858489 - 1. assign V751503 = V636530 - 1. assign V870623 = V862085 + 1. assign V000472 = V895393. assign V499405 = V558245 + 1. assign V429524 = V973454 + 1. assign V972142 = V253376 - 1. assign V054519 = V380255 - 1. assign V017933 = V128658. assign V829932 = V134705 + 1. assign V700532 = V891537 + 1. assign V789751 = V310799. assign V168376 = V590553 - 1. assign V511779 = V762785 + 1. assign V627115 = V669088 - 1. assign V239370 = V521129 + 1. assign V172008 = V573902 + 1. assign V182672 = V756532. assign V375731 = V898595 + 1. assign V190154 = V655860. assign V307681 = V561858 - 1. assign V386801 = V333382. assign V641510 = V882372. assign V894412 = V122692 - 1. assign V423181 = V502527 - 1. assign V575433 = V333382. assign V057257 = V182672 - 1. assign V632192 = V509443 + 1. assign V616187 = V307681. assign V444880 = V829932 + 1. assign V680092 = V084549. assign V586639 = V084549 + 1. assign V510366 = V922067 - 1. assign V584495 = V475460. assign V497963 = V057240 - 1. assign V134705 = V785122 - 1. assign V968536 = V841839. assign V301413 = V057844. assign V442640 = V274668 + 1. assign V403708 = V704461 + 1. assign V189697 = V220054 - 1. assign V717806 = V364787. assign V495533 = V186308 + 1. assign V547254 = V521129 + 1. assign V274668 = V680092 - 1. assign V156610 = V352163 + 1. assign V400533 = V822724. assign V918693 = V509443. assign V515081 = V730481 + 1. assign V756532 = V134705 + 1. assign V740365 = V190154 - 1. assign V641672 = V892854 + 1. assign V463874 = V573873. assign V587192 = V349513 + 1. assign V841687 = V587192 - 1. assign V847079 = V756532. assign V882145 = V385420. assign V946115 = V220054 - 1. assign V923251 = V323123. assign V333382 = V847079 + 1. assign V705289 = V743268 - 1. assign V107945 = V692648 + 1. assign V092438 = V891537 + 1. assign V521129 = V590553 - 1. assign V088398 = V895393. assign V197340 = V695475. assign V775814 = V882563. assign V841839 = V118081 - 1. assign V822191 = V118081. assign V057240 = V900578 + 1. assign V254092 = V352934. assign V839483 = V882563 - 1. assign V107437 = V835463 - 1. assign V237835 = V266655 - 1. assign V666791 = V176151. assign V104551 = V835463. assign V572874 = V756532 + 1. assign V406684 = V717860 + 1. assign V664225 = V557198 - 1. assign V665742 = V578180 - 1. assign V181599 = V768394 + 1. assign V034167 = V067313. assign V506361 = V922067 - 1. assign V557198 = V561858 + 1. assign V388092 = V695475. assign V364787 = V209804 - 1. assign V232205 = V037930 + 1. assign V653966 = V220054. assign V517186 = V276077 + 1. assign V872510 = V134705 + 1. assign V601259 = V122692 - 1. assign V236813 = V597123 + 1. assign V310799 = V557198. assign V003371 = V134705. assign V495239 = V962032. assign V591071 = V192471 + 1. assign V196712 = V128658 - 1. assign V266763 = V506361. assign V022570 = V962032 - 1. assign V118081 = V323123. assign V636799 = V209804. assign V762785 = V274668. assign V443423 = V471338 + 1. assign V493438 = V121907. assign V449681 = V704461 - 1. assign V827144 = V395957. assign V475460 = V506361 + 1. assign V551251 = V475460 - 1. assign V649734 = V922067 + 1. assign V357362 = V348869 - 1. assign V717852 = V756532 - 1. assign V395957 = V022570 + 1. assign V217876 = V892854 + 1. assign V360850 = V364787. assign V037930 = V862085 - 1. assign V215621 = V700710. assign V323123 = V046924. assign V663701 = V502527. assign V116703 = V237835. assign V594651 = V572874 - 1. assign V819089 = V808231 + 1. assign V819634 = V189999 - 1. assign V320458 = V176151. assign V962032 = V649734. assign V975108 = V134705. assign V382042 = V516505 + 1. assign V492623 = V762785 - 1. assign V380255 = V923251 - 1. assign V951326 = V894412 - 1. assign V561858 = V962032 + 1. assign V273066 = V995583 + 1. assign V807639 = V946115 - 1. assign V061783 = V406684. assign V475806 = V598317 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V907208 = V502440. assign V345504 = V209804 + 1. assign V760749 = V260820. assign V390747 = V287631. assign V204030 = V587192 + 1. assign V216645 = V768391 + 1. assign V570451 = V695475 - 1. assign V099140 = V892854 - 1. assign V702622 = V574329 + 1. assign V785122 = V922067 + 1. assign V502440 = V189697 - 1. assign V578180 = V882372 + 1. assign V919473 = V323123 + 1. assign V900578 = V768391 - 1. assign V450428 = V679012 - 1. assign V704461 = V122692 - 1. assign V286859 = V196712. assign V792140 = V743268 - 1. assign V352324 = V749872. assign V726361 = V882563 + 1. assign V220054 = V922067. assign V380920 = V601259 + 1. assign V811936 = V441292 - 1. assign V447523 = V325013. assign V129192 = V022570 + 1. assign V002021 = V858489 - 1. assign V783947 = V606919. assign V467605 = V510580 + 1. assign V765628 = V286859 - 1. assign V620836 = V260820 + 1. assign V084874 = V822724 + 1. assign V516505 = V653966 + 1. assign V186308 = V320458 - 1. assign V895669 = V785122. assign V679012 = V882563 + 1. assign V868982 = V837008 + 1. assign V808231 = V960079 + 1. assign V208064 = V814347. assign V325013 = V538447. assign V717119 = V003371 + 1. assign V005309 = V252400 + 1. assign V960079 = V057257. assign V883387 = V323123 + 1. assign V514811 = V131093. assign V479111 = V084549 + 1. assign V700710 = V287631. assign V057844 = V574329 - 1. assign V423744 = V086561 - 1. assign V922067 = V892854. assign V573902 = V785122 + 1. assign V352163 = V135573. assign V209804 = V220054. assign V084549 = V946115 - 1. assign V853339 = V822724 + 1. assign V382874 = V189999 - 1. assign V029670 = V475460 + 1. assign V574329 = V962032. assign V768394 = V756532 + 1. assign V121907 = V558276. assign V156454 = V522171. assign V510580 = V975108 - 1. assign V777290 = V156454. assign V862085 = V900578 - 1. assign V745356 = V892854. assign V468077 = V946115 - 1. assign V544092 = V792119 + 1. assign V891537 = V268677 + 1. assign V592191 = V473445 + 1. assign V731402 = 7. assign V417548 = V717852 + 1. assign V473445 = V450428 - 1. assign V822617 = V822191 - 1. assign V330787 = V705289 + 1. assign V622027 = V731402 - 1. assign V824924 = V225893 + 1. assign V421470 = V495533. assign V502527 = V892854 + 1. assign V538447 = V822724 + 1. assign V799920 = V586639. assign V128658 = V946115 + 1. assign V730481 = V919473 - 1. assign V845257 = V274668. assign V362659 = V814347 + 1. assign V995583 = V907208 + 1. assign V573873 = V891537 - 1. assign V912120 = V022570 - 1. assign V792119 = V122692 - 1. assign V424040 = V034167 - 1. assign V882563 = V590553 + 1. assign V423178 = V730481. assign V903724 = V975108 + 1. assign V420401 = V032751. assign V557468 = V894412. assign V606919 = V268677 + 1. assign V910068 = V417548 - 1. assign V558276 = V489528 + 1. assign V419583 = V960079 - 1. assign V597123 = V649734. assign V883071 = V720741. assign V873034 = V544092 + 1. assign V925588 = V506361 - 1. assign V699411 = V131118. assign V658064 = V598953. assign V813198 = V550362. assign V217615 = V606919 + 1. assign V287631 = V118081 + 1. assign V768391 = V022570 + 1. assign V598953 = V229767 + 1. assign V349513 = V975108. assign V716268 = V348869. assign V441292 = V467605 - 1. assign V385420 = V590553 - 1. assign V720741 = V057844 + 1. assign V037201 = V680696 - 1. assign V063117 = V614853. assign V843172 = V574126 + 1. assign V209165 = V892854 - 1. assign V837008 = V969388 + 1. assign V253376 = V962032 - 1. assign V194243 = V084549. assign V709297 = V287631. assign V882372 = V323123 - 1. assign V937945 = V561858 + 1. assign V522171 = V892854. assign V969388 = V561858 + 1. assign V071707 = V895669 + 1. assign V276077 = V538447 + 1. assign V101442 = V225893 - 1. assign V131118 = V182672 + 1. assign V489528 = V636799 + 1. assign V554073 = V616187 - 1. assign V026113 = V521129. assign V135573 = V182672 + 1. assign V122692 = V550362 + 1. assign V563111 = V220054. assign V486481 = V680696 - 1. assign V509443 = V032751 - 1. assign V814347 = V969388. assign V931199 = V853339 - 1. assign V042946 = V423181. assign V996339 = V274668. assign V336858 = V598953. assign V623479 = V598317. assign V054015 = V717852. assign V550362 = V925588 - 1. assign V032751 = V731402. assign V444274 = V182672 - 1. assign V669088 = V522171 + 1. assign V895393 = V922067 - 1. assign V283638 = V054519 - 1. assign V898595 = V444274 + 1. assign V252400 = V575433 - 1. assign V787535 = V492623 + 1. assign V766277 = V717119. assign V149488 = V128658. assign V858489 = V005309 - 1. assign V574126 = V777290 - 1. assign V046924 = V922067 + 1. assign V570608 = V680092 - 1. assign V792041 = V380920 - 1. assign V099786 = V590553 - 1. assign V762622 = V632192 - 1. assign V835463 = V364787 + 1. assign V615215 = V561858 + 1. assign V558245 = V561858 - 1. assign V081827 = V000472 - 1. assign V260820 = V822724 - 1. assign V568586 = V730481 + 1. assign V826764 = V717806 + 1. assign V189999 = V236813 - 1. assign V176151 = V128658 - 1. assign V225893 = V274668. assign V015324 = V168376. assign V183791 = V730481 + 1. assign V067313 = V636530 - 1. assign V796672 = V473445. assign V953828 = V951326. assign V630534 = V762622 + 1. assign V743268 = V900578 - 1. assign V003608 = V385420. assign V598317 = V479111 - 1. assign V352934 = V587192. assign V492332 = V760749. assign V444154 = V506361. assign V192471 = V570608 - 1. assign V636530 = V550362. assign V071796 = V749872 - 1. assign V486893 = V003371 - 1. assign V749872 = V118081 - 1. assign V695475 = V287631 - 1. assign V732467 = V003371. assign V590553 = V220054. assign V131093 = V268677 + 1. assign V268677 = V975108 + 1. assign V440376 = V406684 + 1. assign V667040 = V492623 - 1. assign V658369 = V352934 - 1. assign V946359 = V731402 - 1. assign V368194 = V186308. assign V680696 = V310799 + 1. assign V614853 = V479111. assign V164154 = V176151 - 1. assign V635873 = V517186. assign V692648 = V765628. assign V471338 = V937945. assign V086561 = V260820 + 1. assign V148711 = V325013 + 1. assign V655860 = V260820 + 1. assign V717860 = V084549 + 1. assign V229767 = V209804 + 1. assign V973454 = V620836. assign V323069 = V620836 + 1. assign V321478 = V209165 - 1. assign V266655 = V597123 + 1. assign V348869 = V495239 - 1. assign V687903 = V561858 - 1. assign V822724 = V649734 - 1. assign V501962 = V858489 - 1. assign V751503 = V636530 - 1. assign V870623 = V862085 + 1. assign V000472 = V895393. assign V499405 = V558245 + 1. assign V429524 = V973454 + 1. assign V972142 = V253376 - 1. assign V054519 = V380255 - 1. assign V017933 = V128658. assign V829932 = V134705 + 1. assign V700532 = V891537 + 1. assign V789751 = V310799. assign V168376 = V590553 - 1. assign V511779 = V762785 + 1. assign V627115 = V669088 - 1. assign V239370 = V521129 + 1. assign V172008 = V573902 + 1. assign V182672 = V756532. assign V375731 = V898595 + 1. assign V190154 = V655860. assign V307681 = V561858 - 1. assign V386801 = V333382. assign V641510 = V882372. assign V894412 = V122692 - 1. assign V423181 = V502527 - 1. assign V575433 = V333382. assign V057257 = V182672 - 1. assign V632192 = V509443 + 1. assign V616187 = V307681. assign V444880 = V829932 + 1. assign V680092 = V084549. assign V586639 = V084549 + 1. assign V510366 = V922067 - 1. assign V584495 = V475460. assign V497963 = V057240 - 1. assign V134705 = V785122 - 1. assign V968536 = V841839. assign V301413 = V057844. assign V442640 = V274668 + 1. assign V403708 = V704461 + 1. assign V189697 = V220054 - 1. assign V717806 = V364787. assign V495533 = V186308 + 1. assign V547254 = V521129 + 1. assign V274668 = V680092 - 1. assign V156610 = V352163 + 1. assign V400533 = V822724. assign V918693 = V509443. assign V515081 = V730481 + 1. assign V756532 = V134705 + 1. assign V740365 = V190154 - 1. assign V641672 = V892854 + 1. assign V463874 = V573873. assign V587192 = V349513 + 1. assign V841687 = V587192 - 1. assign V847079 = V756532. assign V882145 = V385420. assign V946115 = V220054 - 1. assign V923251 = V323123. assign V333382 = V847079 + 1. assign V705289 = V743268 - 1. assign V107945 = V692648 + 1. assign V092438 = V891537 + 1. assign V521129 = V590553 - 1. assign V088398 = V895393. assign V197340 = V695475. assign V775814 = V882563. assign V841839 = V118081 - 1. assign V822191 = V118081. assign V057240 = V900578 + 1. assign V254092 = V352934. assign V839483 = V882563 - 1. assign V107437 = V835463 - 1. assign V237835 = V266655 - 1. assign V666791 = V176151. assign V104551 = V835463. assign V572874 = V756532 + 1. assign V406684 = V717860 + 1. assign V664225 = V557198 - 1. assign V665742 = V578180 - 1. assign V181599 = V768394 + 1. assign V034167 = V067313. assign V506361 = V922067 - 1. assign V557198 = V561858 + 1. assign V388092 = V695475. assign V364787 = V209804 - 1. assign V232205 = V037930 + 1. assign V653966 = V220054. assign V517186 = V276077 + 1. assign V872510 = V134705 + 1. assign V601259 = V122692 - 1. assign V236813 = V597123 + 1. assign V310799 = V557198. assign V003371 = V134705. assign V495239 = V962032. assign V591071 = V192471 + 1. assign V196712 = V128658 - 1. assign V266763 = V506361. assign V022570 = V962032 - 1. assign V118081 = V323123. assign V636799 = V209804. assign V762785 = V274668. assign V443423 = V471338 + 1. assign V493438 = V121907. assign V449681 = V704461 - 1. assign V827144 = V395957. assign V475460 = V506361 + 1. assign V551251 = V475460 - 1. assign V649734 = V922067 + 1. assign V357362 = V348869 - 1. assign V717852 = V756532 - 1. assign V395957 = V022570 + 1. assign V217876 = V892854 + 1. assign V360850 = V364787. assign V037930 = V862085 - 1. assign V215621 = V700710. assign V323123 = V046924. assign V663701 = V502527. assign V116703 = V237835. assign V594651 = V572874 - 1. assign V819089 = V808231 + 1. assign V819634 = V189999 - 1. assign V320458 = V176151. assign V962032 = V649734. assign V975108 = V134705. assign V382042 = V516505 + 1. assign V492623 = V762785 - 1. assign V380255 = V923251 - 1. assign V951326 = V894412 - 1. assign V561858 = V962032 + 1. assign V273066 = V995583 + 1. assign V807639 = V946115 - 1. assign V061783 = V406684. assign V475806 = V598317 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV731402 = 7;\n\nFrom these direct assignment(s), we have: \nV946359 = V731402 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V946359;\nV032751 = V731402 = 7;\nV509443 = V032751 - 1 = 7 - 1 =6;\nV918693 = V509443 = 6;\nNo other varaibles can be derived from V918693;\nV632192 = V509443 + 1 = 6 + 1 =7;\nV762622 = V632192 - 1 = 7 - 1 =6;\nV630534 = V762622 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V630534;\nNo other varaibles can be derived from V762622;\nNo other varaibles can be derived from V632192;\nNo other varaibles can be derived from V509443;\nV420401 = V032751 = 7;\nNo other varaibles can be derived from V420401;\nNo other varaibles can be derived from V032751;\nV622027 = V731402 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V622027;\nNo other varaibles can be derived from V731402;\n\nNow we have done all the calculations. Derived variables are:\nV731402 = 7;\nV946359 = 6;\nV032751 = 7;\nV509443 = 6;\nV918693 = 6;\nV632192 = 7;\nV762622 = 6;\nV630534 = 7;\nV420401 = 7;\nV622027 = 6;\n\nNow we have finished this problem. ANSWER:\nV731402, V032751, V632192, V630534, V420401\n", "role": "assistant" } ]

[ "V011301", "V718480", "V658037" ]

[ { "content": "<context>\nassign V209342 = V587213 + 1. assign V195244 = V941075 - 1. assign V779084 = V189443. assign V144955 = V303910 - 1. assign V891596 = V489080 - 1. assign V186538 = V557016. assign V309819 = V942191 + 1. assign V451287 = V362595 - 1. assign V539387 = V710831 - 1. assign V489781 = V941075 + 1. assign V405956 = V375041 - 1. assign V361170 = V016177. assign V151985 = V613956. assign V351403 = V531008 + 1. assign V232111 = V375041 - 1. assign V990746 = V713207. assign V103444 = V388406 - 1. assign V589457 = V112391 - 1. assign V639227 = V271463 + 1. assign V335413 = V608851. assign V284132 = V182577 + 1. assign V069088 = V388406 - 1. assign V400146 = V209848 + 1. assign V632201 = V923205 - 1. assign V373455 = V126702 - 1. assign V222358 = V863958. assign V226512 = V681906 + 1. assign V526275 = V432970 - 1. assign V941658 = V069481. assign V260885 = V554010. assign V916033 = V702318 - 1. assign V352407 = V798585. assign V332801 = V303910 - 1. assign V547054 = V141739 + 1. assign V919553 = V962932 - 1. assign V558405 = V222358. assign V212336 = V718480 + 1. assign V691545 = V169426. assign V892064 = V319821. assign V231968 = V695877. assign V432970 = V145292 - 1. assign V420588 = V558598. assign V846587 = V375041 + 1. assign V540484 = V710831. assign V968350 = V710831. assign V914411 = V388406 + 1. assign V223541 = V557016 - 1. assign V893416 = V195244 - 1. assign V942191 = V541712 - 1. assign V314086 = V957217 + 1. assign V204835 = V309819 - 1. assign V331318 = V451287 - 1. assign V664773 = V801930 - 1. assign V561342 = V759149 - 1. assign V343106 = V059879. assign V301858 = V863958. assign V935819 = V369161. assign V129100 = V681906 - 1. assign V861950 = V681906 - 1. assign V000605 = V114598 + 1. assign V449065 = V490123 - 1. assign V962932 = V942191 + 1. assign V271463 = V303910 + 1. assign V170310 = V480049 - 1. assign V501583 = V309819. assign V658037 = V631122 + 1. assign V069481 = V051493. assign V498568 = V339025 + 1. assign V567551 = V541712 + 1. assign V536570 = V677128 - 1. assign V799270 = V686008. assign V346668 = V375041 + 1. assign V017580 = V863958. assign V145292 = V759149 + 1. assign V436692 = V705933 + 1. assign V157984 = V360244. assign V051493 = V002031. assign V339025 = V047202. assign V584773 = V047202 - 1. assign V523128 = V316585 + 1. assign V562338 = V361170 - 1. assign V643037 = V026124 + 1. assign V670309 = V783605 + 1. assign V319810 = V863958 - 1. assign V044074 = V864661 + 1. assign V591697 = V686008. assign V702318 = V490123 - 1. assign V995794 = V319810 + 1. assign V331878 = V617702 - 1. assign V523058 = V501583 - 1. assign V327749 = V726606. assign V660521 = V141739. assign V115485 = V192149 - 1. assign V190282 = V159917 + 1. assign V025035 = V726415 + 1. assign V012259 = V731982 - 1. assign V471424 = V617702 + 1. assign V108697 = V431134 + 1. assign V589097 = V926236 - 1. assign V114598 = V231968 - 1. assign V769628 = V541712 - 1. assign V431134 = V540484. assign V446301 = V640773. assign V140018 = V178624. assign V755248 = V639227 + 1. assign V631122 = V011301 - 1. assign V937747 = V995794. assign V608851 = V011301 + 1. assign V375041 = V540484 + 1. assign V923903 = V523058 - 1. assign V328888 = V968350 - 1. assign V389001 = V563831. assign V932869 = V846587 - 1. assign V116506 = V958707. assign V653932 = V561110 - 1. assign V324074 = V987375 + 1. assign V059879 = V558598 + 1. assign V698840 = V052167. assign V448994 = V037453 + 1. assign V224373 = V968350 + 1. assign V554141 = V226512 + 1. assign V016177 = V388406 + 1. assign V141739 = V448021 + 1. assign V864661 = V380931 + 1. assign V557016 = V987375 - 1. assign V893816 = V703972. assign V352380 = V196963 + 1. assign V616771 = V432970 + 1. assign V894004 = V703972. assign V380931 = V714737. assign V467555 = V471424 + 1. assign V068935 = V998873 - 1. assign V037453 = V362595 + 1. assign V703972 = V442710 - 1. assign V714737 = V016177 + 1. assign V042649 = V389001 + 1. assign V710702 = V651684 - 1. assign V558598 = V825216. assign V402617 = V798585 - 1. assign V494594 = V319810 - 1. assign V692698 = V114598 - 1. assign V095118 = V627063 - 1. assign V906893 = V224373. assign V651684 = V397727 + 1. assign V442710 = V987375 + 1. assign V260877 = V914411 - 1. assign V216000 = V480049. assign V913553 = V868339 + 1. assign V613956 = V234262 - 1. assign V401649 = V017580. assign V225664 = V691545 - 1. assign V713340 = V613403. assign V937428 = V108697. assign V835184 = V691545. assign V970205 = V015471 + 1. assign V630462 = V536570. assign V448021 = V613403 + 1. assign V923205 = V037453. assign V480049 = V091266 - 1. assign V489080 = V388406. assign V076460 = V042649. assign V931609 = V331318 + 1. assign V665681 = V190282. assign V640773 = V928720. assign V617702 = V987375. assign V261059 = V756572 + 1. assign V029584 = V223541 - 1. assign V998196 = V769628 + 1. assign V743183 = V436692. assign V677128 = V388406 - 1. assign V314273 = V695877 - 1. assign V915207 = V127430. assign V013616 = V017580 + 1. assign V414284 = V141739 - 1. assign V365432 = V255717 - 1. assign V096596 = V941075 + 1. assign V541712 = V691545. assign V490123 = V324074 + 1. assign V209848 = V941075 + 1. assign V531008 = V124214 - 1. assign V816366 = V731982 - 1. assign V158642 = V051493 + 1. assign V773691 = V523058 + 1. assign V619785 = V072256 + 1. assign V928720 = V837081 - 1. assign V002031 = V714737 - 1. assign V352417 = V863958. assign V991668 = V462171. assign V765875 = V052136. assign V072256 = V775236 - 1. assign V759149 = V442710 - 1. assign V329159 = V755248. assign V625026 = V319821 + 1. assign V756572 = V309819 + 1. assign V031444 = V108697. assign V838298 = V834258 + 1. assign V743866 = V464731 + 1. assign V425226 = V769628 - 1. assign V316585 = V617702 - 1. assign V498411 = V225664 + 1. assign V415564 = V498411 - 1. assign V255717 = V799798. assign V513306 = V632201 - 1. assign V726606 = V016177. assign V005668 = V196963 + 1. assign V732426 = V158189 + 1. assign V681906 = V388406 + 1. assign V627063 = V541712 - 1. assign V731982 = V389001. assign V695877 = V691545. assign V320673 = V910768 - 1. assign V369161 = V987375 + 1. assign V159917 = V362595. assign V360244 = V498568 + 1. assign V587213 = V863958 + 1. assign V452851 = V914411 + 1. assign V267694 = V275756 - 1. assign V747653 = V686008. assign V322991 = V442710 - 1. assign V923015 = V095118 - 1. assign V211843 = V799798. assign V550651 = V595901 + 1. assign V422983 = V919720 - 1. assign V158189 = V331318 + 1. assign V713207 = V141739 + 1. assign V821704 = V958707 + 1. assign V463710 = V026124. assign V082803 = V091266 + 1. assign V538525 = V489080. assign V633452 = V856458. assign V837081 = V319810. assign V196963 = V759149. assign V941075 = V632201 + 1. assign V509181 = V816366 + 1. assign V398904 = V011301 - 1. assign V011301 = V818999 + 1. assign V271246 = V942084 + 1. assign V868975 = V013616 - 1. assign V910768 = V095118. assign V694303 = V178624 - 1. assign V388406 = V613403 + 1. assign V052136 = V463656 - 1. assign V876682 = V026124 + 1. assign V655799 = V501583. assign V015471 = V942191 + 1. assign V118812 = V267694 - 1. assign V942694 = V868339 - 1. assign V797624 = V383552 - 1. assign V818999 = 10. assign V275756 = V303910. assign V112391 = V914411 - 1. assign V718480 = V608851 - 1. assign V192149 = V792829 - 1. assign V863958 = V026124 - 1. assign V595901 = V799270 + 1. assign V526774 = V016177. assign V825216 = V677128. assign V091266 = V710831 - 1. assign V751266 = V319810 - 1. assign V678563 = V536570. assign V554010 = V540484 - 1. assign V801930 = V584773 - 1. assign V643170 = V388406. assign V622652 = V431134 - 1. assign V052167 = V224373 + 1. assign V127430 = V914411 + 1. assign V785861 = V329159 + 1. assign V868339 = V322991 - 1. assign V435777 = V042649. assign V026124 = V047202 - 1. assign V182577 = V452851 - 1. assign V402643 = V234262. assign V178624 = V026124 - 1. assign V722736 = V420588 - 1. assign V987375 = V691545 + 1. assign V958707 = V103444. assign V942084 = V422983 - 1. assign V998873 = V448021 - 1. assign V959388 = V284132. assign V247057 = V380931. assign V926236 = V678563 - 1. assign V718557 = V271463 - 1. assign V247952 = V541712 - 1. assign V798585 = V627063. assign V143524 = V756572. assign V234262 = V016177 - 1. assign V788137 = V700464 - 1. assign V303910 = V968350 - 1. assign V464731 = V091266 - 1. assign V824368 = V397727 - 1. assign V169426 = V613403. assign V799798 = V303910 + 1. assign V775236 = V037453 + 1. assign V686008 = V526774. assign V939250 = V011301 - 1. assign V362407 = V958707 + 1. assign V696971 = V414530 + 1. assign V316704 = V329159. assign V072034 = V216000 - 1. assign V834258 = V557016. assign V617144 = V016177 - 1. assign V726415 = V941075. assign V982055 = V941658 + 1. assign V792829 = V536570 - 1. assign V189443 = V513306. assign V723873 = V303910 - 1. assign V919341 = V783605. assign V779466 = V127430 - 1. assign V243129 = V389001. assign V806033 = V655799. assign V116884 = V494594 + 1. assign V002340 = V095118. assign V124214 = V541712 + 1. assign V411207 = V632201 - 1. assign V856458 = V613403 - 1. assign V546848 = V331878 + 1. assign V783605 = V694303 - 1. assign V047202 = V169426. assign V062575 = V339025 - 1. assign V444631 = V923205 + 1. assign V607835 = V463656 + 1. assign V840369 = V158189 + 1. assign V805900 = V414530 + 1. assign V461167 = V941658 - 1. assign V627401 = V554141 - 1. assign V319821 = V204835. assign V904465 = V914411 + 1. assign V192118 = V910768 - 1. assign V700464 = V523058. assign V859870 = V723873 + 1. assign V364202 = V002340. assign V457643 = V937747 - 1. assign V126702 = V322991 + 1. assign V383552 = V686008. assign V563831 = V691545. assign V710831 = V613403 - 1. assign V362595 = V968350 + 1. assign V962634 = V362407. assign V429987 = V016177 - 1. assign V061922 = V204835. assign V561110 = V322991 - 1. assign V957217 = V095118 - 1. assign V397727 = V319810. assign V919720 = V799798. assign V358506 = V452851 - 1. assign V840833 = V616771 - 1. assign V462171 = V319810. assign V374259 = V931609. assign V414530 = V124214 + 1. assign V705933 = V765875 + 1. assign V463656 = V987375 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V209342 = V587213 + 1. assign V195244 = V941075 - 1. assign V779084 = V189443. assign V144955 = V303910 - 1. assign V891596 = V489080 - 1. assign V186538 = V557016. assign V309819 = V942191 + 1. assign V451287 = V362595 - 1. assign V539387 = V710831 - 1. assign V489781 = V941075 + 1. assign V405956 = V375041 - 1. assign V361170 = V016177. assign V151985 = V613956. assign V351403 = V531008 + 1. assign V232111 = V375041 - 1. assign V990746 = V713207. assign V103444 = V388406 - 1. assign V589457 = V112391 - 1. assign V639227 = V271463 + 1. assign V335413 = V608851. assign V284132 = V182577 + 1. assign V069088 = V388406 - 1. assign V400146 = V209848 + 1. assign V632201 = V923205 - 1. assign V373455 = V126702 - 1. assign V222358 = V863958. assign V226512 = V681906 + 1. assign V526275 = V432970 - 1. assign V941658 = V069481. assign V260885 = V554010. assign V916033 = V702318 - 1. assign V352407 = V798585. assign V332801 = V303910 - 1. assign V547054 = V141739 + 1. assign V919553 = V962932 - 1. assign V558405 = V222358. assign V212336 = V718480 + 1. assign V691545 = V169426. assign V892064 = V319821. assign V231968 = V695877. assign V432970 = V145292 - 1. assign V420588 = V558598. assign V846587 = V375041 + 1. assign V540484 = V710831. assign V968350 = V710831. assign V914411 = V388406 + 1. assign V223541 = V557016 - 1. assign V893416 = V195244 - 1. assign V942191 = V541712 - 1. assign V314086 = V957217 + 1. assign V204835 = V309819 - 1. assign V331318 = V451287 - 1. assign V664773 = V801930 - 1. assign V561342 = V759149 - 1. assign V343106 = V059879. assign V301858 = V863958. assign V935819 = V369161. assign V129100 = V681906 - 1. assign V861950 = V681906 - 1. assign V000605 = V114598 + 1. assign V449065 = V490123 - 1. assign V962932 = V942191 + 1. assign V271463 = V303910 + 1. assign V170310 = V480049 - 1. assign V501583 = V309819. assign V658037 = V631122 + 1. assign V069481 = V051493. assign V498568 = V339025 + 1. assign V567551 = V541712 + 1. assign V536570 = V677128 - 1. assign V799270 = V686008. assign V346668 = V375041 + 1. assign V017580 = V863958. assign V145292 = V759149 + 1. assign V436692 = V705933 + 1. assign V157984 = V360244. assign V051493 = V002031. assign V339025 = V047202. assign V584773 = V047202 - 1. assign V523128 = V316585 + 1. assign V562338 = V361170 - 1. assign V643037 = V026124 + 1. assign V670309 = V783605 + 1. assign V319810 = V863958 - 1. assign V044074 = V864661 + 1. assign V591697 = V686008. assign V702318 = V490123 - 1. assign V995794 = V319810 + 1. assign V331878 = V617702 - 1. assign V523058 = V501583 - 1. assign V327749 = V726606. assign V660521 = V141739. assign V115485 = V192149 - 1. assign V190282 = V159917 + 1. assign V025035 = V726415 + 1. assign V012259 = V731982 - 1. assign V471424 = V617702 + 1. assign V108697 = V431134 + 1. assign V589097 = V926236 - 1. assign V114598 = V231968 - 1. assign V769628 = V541712 - 1. assign V431134 = V540484. assign V446301 = V640773. assign V140018 = V178624. assign V755248 = V639227 + 1. assign V631122 = V011301 - 1. assign V937747 = V995794. assign V608851 = V011301 + 1. assign V375041 = V540484 + 1. assign V923903 = V523058 - 1. assign V328888 = V968350 - 1. assign V389001 = V563831. assign V932869 = V846587 - 1. assign V116506 = V958707. assign V653932 = V561110 - 1. assign V324074 = V987375 + 1. assign V059879 = V558598 + 1. assign V698840 = V052167. assign V448994 = V037453 + 1. assign V224373 = V968350 + 1. assign V554141 = V226512 + 1. assign V016177 = V388406 + 1. assign V141739 = V448021 + 1. assign V864661 = V380931 + 1. assign V557016 = V987375 - 1. assign V893816 = V703972. assign V352380 = V196963 + 1. assign V616771 = V432970 + 1. assign V894004 = V703972. assign V380931 = V714737. assign V467555 = V471424 + 1. assign V068935 = V998873 - 1. assign V037453 = V362595 + 1. assign V703972 = V442710 - 1. assign V714737 = V016177 + 1. assign V042649 = V389001 + 1. assign V710702 = V651684 - 1. assign V558598 = V825216. assign V402617 = V798585 - 1. assign V494594 = V319810 - 1. assign V692698 = V114598 - 1. assign V095118 = V627063 - 1. assign V906893 = V224373. assign V651684 = V397727 + 1. assign V442710 = V987375 + 1. assign V260877 = V914411 - 1. assign V216000 = V480049. assign V913553 = V868339 + 1. assign V613956 = V234262 - 1. assign V401649 = V017580. assign V225664 = V691545 - 1. assign V713340 = V613403. assign V937428 = V108697. assign V835184 = V691545. assign V970205 = V015471 + 1. assign V630462 = V536570. assign V448021 = V613403 + 1. assign V923205 = V037453. assign V480049 = V091266 - 1. assign V489080 = V388406. assign V076460 = V042649. assign V931609 = V331318 + 1. assign V665681 = V190282. assign V640773 = V928720. assign V617702 = V987375. assign V261059 = V756572 + 1. assign V029584 = V223541 - 1. assign V998196 = V769628 + 1. assign V743183 = V436692. assign V677128 = V388406 - 1. assign V314273 = V695877 - 1. assign V915207 = V127430. assign V013616 = V017580 + 1. assign V414284 = V141739 - 1. assign V365432 = V255717 - 1. assign V096596 = V941075 + 1. assign V541712 = V691545. assign V490123 = V324074 + 1. assign V209848 = V941075 + 1. assign V531008 = V124214 - 1. assign V816366 = V731982 - 1. assign V158642 = V051493 + 1. assign V773691 = V523058 + 1. assign V619785 = V072256 + 1. assign V928720 = V837081 - 1. assign V002031 = V714737 - 1. assign V352417 = V863958. assign V991668 = V462171. assign V765875 = V052136. assign V072256 = V775236 - 1. assign V759149 = V442710 - 1. assign V329159 = V755248. assign V625026 = V319821 + 1. assign V756572 = V309819 + 1. assign V031444 = V108697. assign V838298 = V834258 + 1. assign V743866 = V464731 + 1. assign V425226 = V769628 - 1. assign V316585 = V617702 - 1. assign V498411 = V225664 + 1. assign V415564 = V498411 - 1. assign V255717 = V799798. assign V513306 = V632201 - 1. assign V726606 = V016177. assign V005668 = V196963 + 1. assign V732426 = V158189 + 1. assign V681906 = V388406 + 1. assign V627063 = V541712 - 1. assign V731982 = V389001. assign V695877 = V691545. assign V320673 = V910768 - 1. assign V369161 = V987375 + 1. assign V159917 = V362595. assign V360244 = V498568 + 1. assign V587213 = V863958 + 1. assign V452851 = V914411 + 1. assign V267694 = V275756 - 1. assign V747653 = V686008. assign V322991 = V442710 - 1. assign V923015 = V095118 - 1. assign V211843 = V799798. assign V550651 = V595901 + 1. assign V422983 = V919720 - 1. assign V158189 = V331318 + 1. assign V713207 = V141739 + 1. assign V821704 = V958707 + 1. assign V463710 = V026124. assign V082803 = V091266 + 1. assign V538525 = V489080. assign V633452 = V856458. assign V837081 = V319810. assign V196963 = V759149. assign V941075 = V632201 + 1. assign V509181 = V816366 + 1. assign V398904 = V011301 - 1. assign V011301 = V818999 + 1. assign V271246 = V942084 + 1. assign V868975 = V013616 - 1. assign V910768 = V095118. assign V694303 = V178624 - 1. assign V388406 = V613403 + 1. assign V052136 = V463656 - 1. assign V876682 = V026124 + 1. assign V655799 = V501583. assign V015471 = V942191 + 1. assign V118812 = V267694 - 1. assign V942694 = V868339 - 1. assign V797624 = V383552 - 1. assign V818999 = 10. assign V275756 = V303910. assign V112391 = V914411 - 1. assign V718480 = V608851 - 1. assign V192149 = V792829 - 1. assign V863958 = V026124 - 1. assign V595901 = V799270 + 1. assign V526774 = V016177. assign V825216 = V677128. assign V091266 = V710831 - 1. assign V751266 = V319810 - 1. assign V678563 = V536570. assign V554010 = V540484 - 1. assign V801930 = V584773 - 1. assign V643170 = V388406. assign V622652 = V431134 - 1. assign V052167 = V224373 + 1. assign V127430 = V914411 + 1. assign V785861 = V329159 + 1. assign V868339 = V322991 - 1. assign V435777 = V042649. assign V026124 = V047202 - 1. assign V182577 = V452851 - 1. assign V402643 = V234262. assign V178624 = V026124 - 1. assign V722736 = V420588 - 1. assign V987375 = V691545 + 1. assign V958707 = V103444. assign V942084 = V422983 - 1. assign V998873 = V448021 - 1. assign V959388 = V284132. assign V247057 = V380931. assign V926236 = V678563 - 1. assign V718557 = V271463 - 1. assign V247952 = V541712 - 1. assign V798585 = V627063. assign V143524 = V756572. assign V234262 = V016177 - 1. assign V788137 = V700464 - 1. assign V303910 = V968350 - 1. assign V464731 = V091266 - 1. assign V824368 = V397727 - 1. assign V169426 = V613403. assign V799798 = V303910 + 1. assign V775236 = V037453 + 1. assign V686008 = V526774. assign V939250 = V011301 - 1. assign V362407 = V958707 + 1. assign V696971 = V414530 + 1. assign V316704 = V329159. assign V072034 = V216000 - 1. assign V834258 = V557016. assign V617144 = V016177 - 1. assign V726415 = V941075. assign V982055 = V941658 + 1. assign V792829 = V536570 - 1. assign V189443 = V513306. assign V723873 = V303910 - 1. assign V919341 = V783605. assign V779466 = V127430 - 1. assign V243129 = V389001. assign V806033 = V655799. assign V116884 = V494594 + 1. assign V002340 = V095118. assign V124214 = V541712 + 1. assign V411207 = V632201 - 1. assign V856458 = V613403 - 1. assign V546848 = V331878 + 1. assign V783605 = V694303 - 1. assign V047202 = V169426. assign V062575 = V339025 - 1. assign V444631 = V923205 + 1. assign V607835 = V463656 + 1. assign V840369 = V158189 + 1. assign V805900 = V414530 + 1. assign V461167 = V941658 - 1. assign V627401 = V554141 - 1. assign V319821 = V204835. assign V904465 = V914411 + 1. assign V192118 = V910768 - 1. assign V700464 = V523058. assign V859870 = V723873 + 1. assign V364202 = V002340. assign V457643 = V937747 - 1. assign V126702 = V322991 + 1. assign V383552 = V686008. assign V563831 = V691545. assign V710831 = V613403 - 1. assign V362595 = V968350 + 1. assign V962634 = V362407. assign V429987 = V016177 - 1. assign V061922 = V204835. assign V561110 = V322991 - 1. assign V957217 = V095118 - 1. assign V397727 = V319810. assign V919720 = V799798. assign V358506 = V452851 - 1. assign V840833 = V616771 - 1. assign V462171 = V319810. assign V374259 = V931609. assign V414530 = V124214 + 1. assign V705933 = V765875 + 1. assign V463656 = V987375 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV818999 = 10;\n\nFrom these direct assignment(s), we have: \nV011301 = V818999 + 1 = 10 + 1 =11;\nV939250 = V011301 - 1 = 11 - 1 =10;\nNo other varaibles can be derived from V939250;\nV398904 = V011301 - 1 = 11 - 1 =10;\nNo other varaibles can be derived from V398904;\nV608851 = V011301 + 1 = 11 + 1 =12;\nV718480 = V608851 - 1 = 12 - 1 =11;\nV212336 = V718480 + 1 = 11 + 1 =12;\nNo other varaibles can be derived from V212336;\nNo other varaibles can be derived from V718480;\nV335413 = V608851 = 12;\nNo other varaibles can be derived from V335413;\nNo other varaibles can be derived from V608851;\nV631122 = V011301 - 1 = 11 - 1 =10;\nV658037 = V631122 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V658037;\nNo other varaibles can be derived from V631122;\nNo other varaibles can be derived from V011301;\nNo other varaibles can be derived from V818999;\n\nNow we have done all the calculations. Derived variables are:\nV818999 = 10;\nV011301 = 11;\nV939250 = 10;\nV398904 = 10;\nV608851 = 12;\nV718480 = 11;\nV212336 = 12;\nV335413 = 12;\nV631122 = 10;\nV658037 = 11;\n\nNow we have finished this problem. ANSWER:\nV011301, V718480, V658037\n", "role": "assistant" } ]

[ "V664773", "V563420", "V381019", "V274459" ]

[ { "content": "<context>\nassign V964505 = V082421 + 1. assign V089707 = V850787 + 1. assign V662089 = V770511. assign V615696 = V462675 + 1. assign V240723 = V577429 - 1. assign V429276 = V877811 - 1. assign V721069 = V397544 + 1. assign V660952 = V850787 - 1. assign V467852 = V136405 + 1. assign V664773 = V144023 - 1. assign V844854 = V721255 + 1. assign V263944 = V569746. assign V772463 = V887745 - 1. assign V377534 = V394538 - 1. assign V922844 = V656635 - 1. assign V887982 = V726210. assign V960122 = V253594 - 1. assign V731483 = V775998 + 1. assign V594294 = V726210 + 1. assign V149865 = V302916. assign V248409 = V610743 - 1. assign V575428 = V663736 - 1. assign V907219 = V149865 + 1. assign V958876 = V023351. assign V583233 = V877811 + 1. assign V302365 = V646868 - 1. assign V763375 = V641961 - 1. assign V395322 = V644336. assign V883018 = V240723 + 1. assign V884775 = V395322. assign V667325 = V957751 + 1. assign V983755 = V719216 - 1. assign V988122 = V426432 + 1. assign V975537 = V784616. assign V770558 = V844854 + 1. assign V302916 = V922844 - 1. assign V863336 = V983755. assign V461083 = V051762 - 1. assign V084238 = V644336 + 1. assign V367712 = V008111 + 1. assign V478836 = V023351. assign V083899 = V922844. assign V046396 = V178420. assign V379990 = V704579 - 1. assign V260542 = V261177. assign V048638 = V099410 + 1. assign V910099 = V636679 - 1. assign V051379 = V397544. assign V222119 = V594294. assign V719216 = V145458 - 1. assign V444705 = V476711 - 1. assign V550937 = V456426 - 1. assign V781970 = V887745 + 1. assign V729793 = V347246. assign V220831 = V325727. assign V385682 = V608141 + 1. assign V749315 = V331852 - 1. assign V428906 = V330862 + 1. assign V743304 = V644336. assign V835210 = V618782 - 1. assign V990692 = V772260 + 1. assign V516537 = V887982. assign V512973 = V331852. assign V618782 = V201227 + 1. assign V339864 = V999878. assign V861758 = V704579 - 1. assign V255977 = V117089. assign V347246 = V178420 - 1. assign V310040 = V061453. assign V577509 = V999878 - 1. assign V953881 = V201227 - 1. assign V341502 = V051379. assign V238393 = V964505 + 1. assign V721255 = V550937. assign V592189 = V999878 + 1. assign V498952 = V089707 + 1. assign V781118 = V424475 + 1. assign V657018 = V615696 - 1. assign V474692 = V664773 - 1. assign V834810 = V209467 + 1. assign V879488 = V496979. assign V651923 = V615696 + 1. assign V082421 = V381658 - 1. assign V114746 = V780503 + 1. assign V593699 = V749315 + 1. assign V041059 = V942104 + 1. assign V279624 = V858084. assign V221085 = V550937. assign V308158 = V902615 + 1. assign V999878 = V960122 - 1. assign V302301 = V379519 + 1. assign V628674 = V861758 - 1. assign V587414 = V611889 + 1. assign V735650 = V424475 + 1. assign V055469 = V660952 + 1. assign V597449 = V426432 + 1. assign V765141 = V403069 - 1. assign V426432 = V179472 - 1. assign V591938 = V862249 + 1. assign V384497 = V023351 + 1. assign V916063 = V379990 - 1. assign V900788 = V772463. assign V061453 = V444705 + 1. assign V420216 = V664773 + 1. assign V975187 = V299843. assign V265339 = V381658 + 1. assign V057369 = V381658 + 1. assign V310570 = V075414 - 1. assign V704579 = V476891 + 1. assign V524690 = V302916 + 1. assign V117089 = V967938. assign V050465 = V136405 - 1. assign V462306 = V577429 - 1. assign V468365 = V379519 + 1. assign V512998 = V061453 + 1. assign V879183 = V297839. assign V178420 = V711563 + 1. assign V111611 = V468365. assign V800545 = V542742. assign V847009 = V879488. assign V539343 = V884775. assign V877811 = V657018. assign V177816 = V255977. assign V186290 = V975537 - 1. assign V656635 = V145458 - 1. assign V957751 = V855115 + 1. assign V241385 = V717351. assign V274459 = V474692 + 1. assign V906669 = V594294 - 1. assign V551862 = V354841. assign V770511 = V499368 + 1. assign V116776 = V055469 + 1. assign V577473 = V406144 - 1. assign V754450 = V364963. assign V581194 = V476891. assign V310753 = V075414 - 1. assign V253594 = V887745. assign V855115 = V601365 - 1. assign V191407 = V704605 + 1. assign V608792 = V302365 + 1. assign V762796 = V476711 - 1. assign V602801 = V726210. assign V623737 = V704579. assign V007204 = V602801 - 1. assign V496979 = V711563. assign V425615 = V579748 + 1. assign V825379 = V053842 - 1. assign V942104 = V975537 - 1. assign V022546 = V330862 - 1. assign V772260 = V048136. assign V434904 = V618782 + 1. assign V227627 = V179472 - 1. assign V378864 = V660952 - 1. assign V947090 = V975537 - 1. assign V775998 = V378864 + 1. assign V611889 = V379519 - 1. assign V381658 = V954542 + 1. assign V704605 = V057369 + 1. assign V326927 = V391939 + 1. assign V397205 = V648783. assign V677592 = V379519 + 1. assign V502673 = V539343 - 1. assign V354841 = V954542 - 1. assign V332107 = V717351 - 1. assign V476711 = V887745. assign V024451 = V862249. assign V154011 = V412277. assign V644336 = V887745 - 1. assign V375230 = V299843 - 1. assign V647353 = V379519. assign V902615 = V770657. assign V201792 = V657018 - 1. assign V357923 = V221085 - 1. assign V136405 = V496979 + 1. assign V825491 = V892003 + 1. assign V201227 = V717351 - 1. assign V865177 = V394538 + 1. assign V325727 = V253594. assign V273153 = V836806. assign V391939 = V542742 + 1. assign V247587 = V594294 + 1. assign V751299 = V084238. assign V328187 = V177816. assign V136528 = V051762. assign V406144 = V887745 - 1. assign V602869 = V577429 + 1. assign V299843 = V302916 - 1. assign V836806 = V594294 - 1. assign V261177 = V279624 - 1. assign V387606 = V221085. assign V608141 = V144023. assign V663233 = V987410 - 1. assign V735251 = V461083. assign V293116 = V726210 - 1. assign V252733 = V738729. assign V234757 = V647054 - 1. assign V692619 = V444705. assign V881208 = V898447 - 1. assign V364963 = V887745 - 1. assign V284284 = V602869 - 1. assign V526724 = V406144 - 1. assign V231133 = V096620 + 1. assign V887745 = V717351 + 1. assign V811725 = V623472 - 1. assign V850787 = V201227 - 1. assign V647054 = V499368. assign V784616 = V476891 - 1. assign V511283 = V222119 - 1. assign V403069 = V096620 - 1. assign V984712 = V426432. assign V410607 = V601365 - 1. assign V579748 = V476711 + 1. assign V130794 = V499368 + 1. assign V786088 = V055469 - 1. assign V663736 = V618782. assign V747140 = V476891 - 1. assign V610743 = V499368 + 1. assign V743850 = V611889 + 1. assign V641961 = V825379 + 1. assign V780503 = V982275 - 1. assign V476891 = V397544 + 1. assign V981341 = V602869. assign V501593 = V462675 + 1. assign V648783 = V618782. assign V187739 = V660952. assign V987410 = V178420 + 1. assign V793529 = V647054 + 1. assign V024884 = V721255 - 1. assign V960998 = V462306. assign V647922 = V577429 + 1. assign V658121 = V636679 + 1. assign V913659 = V636679 - 1. assign V034714 = V145137 + 1. assign V075414 = V599292 - 1. assign V933893 = V601365. assign V379519 = V145458. assign V263544 = V384497. assign V770657 = V177816 - 1. assign V398903 = V967938. assign V577429 = V770904. assign V189335 = V850787 - 1. assign V210478 = V284284. assign V609546 = V765141. assign V127634 = V687485 + 1. assign V563420 = V664773. assign V701466 = V005985. assign V928532 = V611889 + 1. assign V982275 = V581194. assign V842146 = V008111. assign V738729 = V781970 - 1. assign V599292 = V593699. assign V127910 = V462675 + 1. assign V592493 = V581194. assign V331852 = V410607 - 1. assign V755254 = V609546 + 1. assign V425707 = V300570 + 1. assign V814415 = V721255. assign V144548 = V501593 + 1. assign V499368 = V704579 - 1. assign V646868 = V273153 - 1. assign V898610 = V772260. assign V144023 = 3. assign V427737 = V657018 - 1. assign V469190 = V048638 - 1. assign V687485 = V858084 - 1. assign V096620 = V986604 + 1. assign V610814 = V930645. assign V145137 = V023351 + 1. assign V315891 = V717351. assign V636679 = V850461. assign V862249 = V397544 - 1. assign V705293 = V089707 + 1. assign V022832 = V781970 - 1. assign V602018 = V646868 - 1. assign V397544 = V201227. assign V623472 = V406144. assign V004452 = V601365 - 1. assign V661548 = V420216. assign V789947 = V615696 - 1. assign V944935 = V602018. assign V930645 = V858084 - 1. assign V086238 = V658471. assign V424475 = V462675. assign V608230 = V051762 + 1. assign V209467 = V954407. assign V107678 = V673700. assign V967938 = V331852 + 1. assign V145458 = V887745. assign V898447 = V960122. assign V456426 = V618782 + 1. assign V986604 = V084238 - 1. assign V770904 = V332107. assign V858084 = V850461. assign V640156 = V608792 + 1. assign V692234 = V850461 + 1. assign V048136 = V186290 - 1. assign V381019 = V563420. assign V279101 = V747140 + 1. assign V997984 = V954542 + 1. assign V954407 = V975537 + 1. assign V394538 = V512973 - 1. assign V892003 = V738729 + 1. assign V566721 = V717351 + 1. assign V966368 = V145137 + 1. assign V961704 = V221085. assign V300570 = V302916. assign V577543 = V781970. assign V412277 = V579748 + 1. assign V179472 = V476891 + 1. assign V954542 = V332107 + 1. assign V116366 = V982275 + 1. assign V258899 = V154011 + 1. assign V673700 = V618782 + 1. assign V346859 = V273153 + 1. assign V023351 = V051762 - 1. assign V420605 = V566721. assign V850461 = V145458 + 1. assign V062783 = V887745 - 1. assign V330862 = V476711 + 1. assign V099410 = V273153 - 1. assign V234478 = V179472 + 1. assign V994631 = V302916. assign V821980 = V410607 - 1. assign V920888 = V381658 - 1. assign V099381 = V770511 + 1. assign V381548 = V835210 - 1. assign V606168 = V542742 - 1. assign V877255 = V975537 - 1. assign V540562 = V644336 + 1. assign V086170 = V593699. assign V462675 = V717351 + 1. assign V005985 = V598713 + 1. assign V987190 = V640156 + 1. assign V569746 = V395322. assign V598713 = V887982. assign V008111 = V022832. assign V684089 = V279101 + 1. assign V432161 = V611889 + 1. assign V224524 = V729793 - 1. assign V711563 = V850787 - 1. assign V051762 = V660952 + 1. assign V131553 = V577473 + 1. assign V053842 = V717351. assign V726210 = V379519. assign V658471 = V660952 - 1. assign V297839 = V526724. assign V601365 = V717351 + 1. assign V950657 = V906669 - 1. assign V778728 = V053842 - 1. assign V600453 = V395322 - 1. assign V542742 = V738729 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V964505 = V082421 + 1. assign V089707 = V850787 + 1. assign V662089 = V770511. assign V615696 = V462675 + 1. assign V240723 = V577429 - 1. assign V429276 = V877811 - 1. assign V721069 = V397544 + 1. assign V660952 = V850787 - 1. assign V467852 = V136405 + 1. assign V664773 = V144023 - 1. assign V844854 = V721255 + 1. assign V263944 = V569746. assign V772463 = V887745 - 1. assign V377534 = V394538 - 1. assign V922844 = V656635 - 1. assign V887982 = V726210. assign V960122 = V253594 - 1. assign V731483 = V775998 + 1. assign V594294 = V726210 + 1. assign V149865 = V302916. assign V248409 = V610743 - 1. assign V575428 = V663736 - 1. assign V907219 = V149865 + 1. assign V958876 = V023351. assign V583233 = V877811 + 1. assign V302365 = V646868 - 1. assign V763375 = V641961 - 1. assign V395322 = V644336. assign V883018 = V240723 + 1. assign V884775 = V395322. assign V667325 = V957751 + 1. assign V983755 = V719216 - 1. assign V988122 = V426432 + 1. assign V975537 = V784616. assign V770558 = V844854 + 1. assign V302916 = V922844 - 1. assign V863336 = V983755. assign V461083 = V051762 - 1. assign V084238 = V644336 + 1. assign V367712 = V008111 + 1. assign V478836 = V023351. assign V083899 = V922844. assign V046396 = V178420. assign V379990 = V704579 - 1. assign V260542 = V261177. assign V048638 = V099410 + 1. assign V910099 = V636679 - 1. assign V051379 = V397544. assign V222119 = V594294. assign V719216 = V145458 - 1. assign V444705 = V476711 - 1. assign V550937 = V456426 - 1. assign V781970 = V887745 + 1. assign V729793 = V347246. assign V220831 = V325727. assign V385682 = V608141 + 1. assign V749315 = V331852 - 1. assign V428906 = V330862 + 1. assign V743304 = V644336. assign V835210 = V618782 - 1. assign V990692 = V772260 + 1. assign V516537 = V887982. assign V512973 = V331852. assign V618782 = V201227 + 1. assign V339864 = V999878. assign V861758 = V704579 - 1. assign V255977 = V117089. assign V347246 = V178420 - 1. assign V310040 = V061453. assign V577509 = V999878 - 1. assign V953881 = V201227 - 1. assign V341502 = V051379. assign V238393 = V964505 + 1. assign V721255 = V550937. assign V592189 = V999878 + 1. assign V498952 = V089707 + 1. assign V781118 = V424475 + 1. assign V657018 = V615696 - 1. assign V474692 = V664773 - 1. assign V834810 = V209467 + 1. assign V879488 = V496979. assign V651923 = V615696 + 1. assign V082421 = V381658 - 1. assign V114746 = V780503 + 1. assign V593699 = V749315 + 1. assign V041059 = V942104 + 1. assign V279624 = V858084. assign V221085 = V550937. assign V308158 = V902615 + 1. assign V999878 = V960122 - 1. assign V302301 = V379519 + 1. assign V628674 = V861758 - 1. assign V587414 = V611889 + 1. assign V735650 = V424475 + 1. assign V055469 = V660952 + 1. assign V597449 = V426432 + 1. assign V765141 = V403069 - 1. assign V426432 = V179472 - 1. assign V591938 = V862249 + 1. assign V384497 = V023351 + 1. assign V916063 = V379990 - 1. assign V900788 = V772463. assign V061453 = V444705 + 1. assign V420216 = V664773 + 1. assign V975187 = V299843. assign V265339 = V381658 + 1. assign V057369 = V381658 + 1. assign V310570 = V075414 - 1. assign V704579 = V476891 + 1. assign V524690 = V302916 + 1. assign V117089 = V967938. assign V050465 = V136405 - 1. assign V462306 = V577429 - 1. assign V468365 = V379519 + 1. assign V512998 = V061453 + 1. assign V879183 = V297839. assign V178420 = V711563 + 1. assign V111611 = V468365. assign V800545 = V542742. assign V847009 = V879488. assign V539343 = V884775. assign V877811 = V657018. assign V177816 = V255977. assign V186290 = V975537 - 1. assign V656635 = V145458 - 1. assign V957751 = V855115 + 1. assign V241385 = V717351. assign V274459 = V474692 + 1. assign V906669 = V594294 - 1. assign V551862 = V354841. assign V770511 = V499368 + 1. assign V116776 = V055469 + 1. assign V577473 = V406144 - 1. assign V754450 = V364963. assign V581194 = V476891. assign V310753 = V075414 - 1. assign V253594 = V887745. assign V855115 = V601365 - 1. assign V191407 = V704605 + 1. assign V608792 = V302365 + 1. assign V762796 = V476711 - 1. assign V602801 = V726210. assign V623737 = V704579. assign V007204 = V602801 - 1. assign V496979 = V711563. assign V425615 = V579748 + 1. assign V825379 = V053842 - 1. assign V942104 = V975537 - 1. assign V022546 = V330862 - 1. assign V772260 = V048136. assign V434904 = V618782 + 1. assign V227627 = V179472 - 1. assign V378864 = V660952 - 1. assign V947090 = V975537 - 1. assign V775998 = V378864 + 1. assign V611889 = V379519 - 1. assign V381658 = V954542 + 1. assign V704605 = V057369 + 1. assign V326927 = V391939 + 1. assign V397205 = V648783. assign V677592 = V379519 + 1. assign V502673 = V539343 - 1. assign V354841 = V954542 - 1. assign V332107 = V717351 - 1. assign V476711 = V887745. assign V024451 = V862249. assign V154011 = V412277. assign V644336 = V887745 - 1. assign V375230 = V299843 - 1. assign V647353 = V379519. assign V902615 = V770657. assign V201792 = V657018 - 1. assign V357923 = V221085 - 1. assign V136405 = V496979 + 1. assign V825491 = V892003 + 1. assign V201227 = V717351 - 1. assign V865177 = V394538 + 1. assign V325727 = V253594. assign V273153 = V836806. assign V391939 = V542742 + 1. assign V247587 = V594294 + 1. assign V751299 = V084238. assign V328187 = V177816. assign V136528 = V051762. assign V406144 = V887745 - 1. assign V602869 = V577429 + 1. assign V299843 = V302916 - 1. assign V836806 = V594294 - 1. assign V261177 = V279624 - 1. assign V387606 = V221085. assign V608141 = V144023. assign V663233 = V987410 - 1. assign V735251 = V461083. assign V293116 = V726210 - 1. assign V252733 = V738729. assign V234757 = V647054 - 1. assign V692619 = V444705. assign V881208 = V898447 - 1. assign V364963 = V887745 - 1. assign V284284 = V602869 - 1. assign V526724 = V406144 - 1. assign V231133 = V096620 + 1. assign V887745 = V717351 + 1. assign V811725 = V623472 - 1. assign V850787 = V201227 - 1. assign V647054 = V499368. assign V784616 = V476891 - 1. assign V511283 = V222119 - 1. assign V403069 = V096620 - 1. assign V984712 = V426432. assign V410607 = V601365 - 1. assign V579748 = V476711 + 1. assign V130794 = V499368 + 1. assign V786088 = V055469 - 1. assign V663736 = V618782. assign V747140 = V476891 - 1. assign V610743 = V499368 + 1. assign V743850 = V611889 + 1. assign V641961 = V825379 + 1. assign V780503 = V982275 - 1. assign V476891 = V397544 + 1. assign V981341 = V602869. assign V501593 = V462675 + 1. assign V648783 = V618782. assign V187739 = V660952. assign V987410 = V178420 + 1. assign V793529 = V647054 + 1. assign V024884 = V721255 - 1. assign V960998 = V462306. assign V647922 = V577429 + 1. assign V658121 = V636679 + 1. assign V913659 = V636679 - 1. assign V034714 = V145137 + 1. assign V075414 = V599292 - 1. assign V933893 = V601365. assign V379519 = V145458. assign V263544 = V384497. assign V770657 = V177816 - 1. assign V398903 = V967938. assign V577429 = V770904. assign V189335 = V850787 - 1. assign V210478 = V284284. assign V609546 = V765141. assign V127634 = V687485 + 1. assign V563420 = V664773. assign V701466 = V005985. assign V928532 = V611889 + 1. assign V982275 = V581194. assign V842146 = V008111. assign V738729 = V781970 - 1. assign V599292 = V593699. assign V127910 = V462675 + 1. assign V592493 = V581194. assign V331852 = V410607 - 1. assign V755254 = V609546 + 1. assign V425707 = V300570 + 1. assign V814415 = V721255. assign V144548 = V501593 + 1. assign V499368 = V704579 - 1. assign V646868 = V273153 - 1. assign V898610 = V772260. assign V144023 = 3. assign V427737 = V657018 - 1. assign V469190 = V048638 - 1. assign V687485 = V858084 - 1. assign V096620 = V986604 + 1. assign V610814 = V930645. assign V145137 = V023351 + 1. assign V315891 = V717351. assign V636679 = V850461. assign V862249 = V397544 - 1. assign V705293 = V089707 + 1. assign V022832 = V781970 - 1. assign V602018 = V646868 - 1. assign V397544 = V201227. assign V623472 = V406144. assign V004452 = V601365 - 1. assign V661548 = V420216. assign V789947 = V615696 - 1. assign V944935 = V602018. assign V930645 = V858084 - 1. assign V086238 = V658471. assign V424475 = V462675. assign V608230 = V051762 + 1. assign V209467 = V954407. assign V107678 = V673700. assign V967938 = V331852 + 1. assign V145458 = V887745. assign V898447 = V960122. assign V456426 = V618782 + 1. assign V986604 = V084238 - 1. assign V770904 = V332107. assign V858084 = V850461. assign V640156 = V608792 + 1. assign V692234 = V850461 + 1. assign V048136 = V186290 - 1. assign V381019 = V563420. assign V279101 = V747140 + 1. assign V997984 = V954542 + 1. assign V954407 = V975537 + 1. assign V394538 = V512973 - 1. assign V892003 = V738729 + 1. assign V566721 = V717351 + 1. assign V966368 = V145137 + 1. assign V961704 = V221085. assign V300570 = V302916. assign V577543 = V781970. assign V412277 = V579748 + 1. assign V179472 = V476891 + 1. assign V954542 = V332107 + 1. assign V116366 = V982275 + 1. assign V258899 = V154011 + 1. assign V673700 = V618782 + 1. assign V346859 = V273153 + 1. assign V023351 = V051762 - 1. assign V420605 = V566721. assign V850461 = V145458 + 1. assign V062783 = V887745 - 1. assign V330862 = V476711 + 1. assign V099410 = V273153 - 1. assign V234478 = V179472 + 1. assign V994631 = V302916. assign V821980 = V410607 - 1. assign V920888 = V381658 - 1. assign V099381 = V770511 + 1. assign V381548 = V835210 - 1. assign V606168 = V542742 - 1. assign V877255 = V975537 - 1. assign V540562 = V644336 + 1. assign V086170 = V593699. assign V462675 = V717351 + 1. assign V005985 = V598713 + 1. assign V987190 = V640156 + 1. assign V569746 = V395322. assign V598713 = V887982. assign V008111 = V022832. assign V684089 = V279101 + 1. assign V432161 = V611889 + 1. assign V224524 = V729793 - 1. assign V711563 = V850787 - 1. assign V051762 = V660952 + 1. assign V131553 = V577473 + 1. assign V053842 = V717351. assign V726210 = V379519. assign V658471 = V660952 - 1. assign V297839 = V526724. assign V601365 = V717351 + 1. assign V950657 = V906669 - 1. assign V778728 = V053842 - 1. assign V600453 = V395322 - 1. assign V542742 = V738729 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV144023 = 3;\n\nFrom these direct assignment(s), we have: \nV608141 = V144023 = 3;\nV385682 = V608141 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V385682;\nNo other varaibles can be derived from V608141;\nV664773 = V144023 - 1 = 3 - 1 =2;\nV563420 = V664773 = 2;\nV381019 = V563420 = 2;\nNo other varaibles can be derived from V381019;\nNo other varaibles can be derived from V563420;\nV420216 = V664773 + 1 = 2 + 1 =3;\nV661548 = V420216 = 3;\nNo other varaibles can be derived from V661548;\nNo other varaibles can be derived from V420216;\nV474692 = V664773 - 1 = 2 - 1 =1;\nV274459 = V474692 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V274459;\nNo other varaibles can be derived from V474692;\nNo other varaibles can be derived from V664773;\nNo other varaibles can be derived from V144023;\n\nNow we have done all the calculations. Derived variables are:\nV144023 = 3;\nV608141 = 3;\nV385682 = 4;\nV664773 = 2;\nV563420 = 2;\nV381019 = 2;\nV420216 = 3;\nV661548 = 3;\nV474692 = 1;\nV274459 = 2;\n\nNow we have finished this problem. ANSWER:\nV664773, V563420, V381019, V274459\n", "role": "assistant" } ]

[ "V701586", "V468189" ]

[ { "content": "<context>\nassign V838026 = V222105 + 1. assign V105008 = V346083 + 1. assign V161375 = V976752 - 1. assign V758601 = V966493. assign V709252 = V881409. assign V011617 = V829753 - 1. assign V746482 = V252443 + 1. assign V084340 = V109961. assign V063252 = V716000 - 1. assign V492927 = V109961 + 1. assign V659307 = V186513. assign V657227 = V909078. assign V325457 = V174060 + 1. assign V820178 = V185373 + 1. assign V839323 = V047528 + 1. assign V550724 = V317729 - 1. assign V027905 = V498964 + 1. assign V119406 = V410358. assign V734179 = V331351 + 1. assign V656024 = V064418 + 1. assign V272396 = V560543 - 1. assign V537281 = V638553. assign V958390 = V439914 + 1. assign V390857 = V233337 - 1. assign V355558 = V643220 - 1. assign V394051 = V091216 + 1. assign V736022 = V045223 + 1. assign V109283 = V529273 + 1. assign V793540 = V241489 + 1. assign V064418 = V357058 - 1. assign V403686 = V492927 + 1. assign V840139 = V924057 - 1. assign V233337 = V220067 - 1. assign V615134 = V760627 + 1. assign V707870 = V492927 - 1. assign V157131 = V047528 - 1. assign V335140 = V196621. assign V080496 = V248585 - 1. assign V964395 = V599095. assign V353803 = V107658. assign V374209 = V687249. assign V829753 = V666382. assign V148543 = V709252 + 1. assign V317729 = V029786. assign V304930 = V746974. assign V507356 = V924057. assign V568133 = V337089. assign V156121 = V410358 + 1. assign V608849 = V407765 + 1. assign V663635 = V649303. assign V827792 = V535244. assign V955830 = V634721 + 1. assign V899654 = V220067 + 1. assign V560543 = V924057. assign V997199 = V417575. assign V924057 = V417575 - 1. assign V185373 = V357058 - 1. assign V631725 = V144868 - 1. assign V560166 = V507356. assign V764564 = V030683 - 1. assign V589496 = V760627. assign V825204 = V856387. assign V224878 = V634475 - 1. assign V755161 = V091216 + 1. assign V346083 = V535244. assign V172098 = V951485. assign V038745 = V791279 + 1. assign V348863 = V174060 + 1. assign V035869 = V589496 + 1. assign V828340 = V273420 + 1. assign V931019 = V317729 + 1. assign V634721 = V599117 - 1. assign V966493 = V716000. assign V356881 = V838956 - 1. assign V284137 = V539476 - 1. assign V273420 = V187791 - 1. assign V742449 = V854432. assign V154008 = V539476. assign V069037 = V924057. assign V135599 = V943548. assign V037441 = V313941. assign V599117 = V736022. assign V257065 = V955830 - 1. assign V127398 = V535244. assign V143129 = 2. assign V166618 = V273420. assign V112588 = V222105 + 1. assign V157984 = V507356. assign V377496 = V615134 + 1. assign V562409 = V931019 - 1. assign V791279 = V411264 + 1. assign V294141 = V141804 + 1. assign V817386 = V172098 - 1. assign V458589 = V157131. assign V213847 = V222105 - 1. assign V104802 = V928315 - 1. assign V048173 = V709824. assign V607595 = V528210 + 1. assign V128559 = V207723. assign V458314 = V213847 - 1. assign V943772 = V119406 + 1. assign V259684 = V207723 - 1. assign V130109 = V695765 + 1. assign V736828 = V615134 - 1. assign V372260 = V535244 + 1. assign V209670 = V346083. assign V721859 = V865036. assign V271251 = V417575 - 1. assign V660072 = V244972. assign V529740 = V222105 + 1. assign V200574 = V893547 + 1. assign V990681 = V529740 - 1. assign V446131 = V233337 + 1. assign V811773 = V687249. assign V472727 = V658834. assign V332787 = V726372 + 1. assign V927858 = V096642. assign V115212 = V257894 + 1. assign V693721 = V828340. assign V640224 = V357058 + 1. assign V836643 = V943772 - 1. assign V898633 = V499708. assign V782144 = V144868 - 1. assign V976752 = V539375 + 1. assign V886737 = V234977 - 1. assign V511453 = V813790 + 1. assign V308961 = V372260. assign V208508 = V709252 + 1. assign V595224 = V337089 - 1. assign V640289 = V222105. assign V270667 = V313941. assign V752232 = V786099. assign V565471 = V642069 + 1. assign V823869 = V417575 + 1. assign V719914 = V865036 + 1. assign V890993 = V884431. assign V174060 = V579027 + 1. assign V564669 = V064418. assign V854432 = V716000 - 1. assign V789880 = V726372 - 1. assign V395711 = V172098. assign V909692 = V658834 - 1. assign V270086 = V507356. assign V096642 = V045223 + 1. assign V220067 = V966125 - 1. assign V658834 = V579027 - 1. assign V828995 = V215995 + 1. assign V177218 = V411264. assign V357058 = V308961. assign V065620 = V390857 - 1. assign V047528 = V197078. assign V410358 = V956597 - 1. assign V956597 = V411936 - 1. assign V744729 = V660072 - 1. assign V853771 = V058621 - 1. assign V248585 = V458314 - 1. assign V972032 = V734179. assign V115141 = V909692 + 1. assign V111653 = V657996 - 1. assign V330997 = V943548 - 1. assign V366970 = V530935 + 1. assign V563687 = V502770 + 1. assign V529273 = V709824 - 1. assign V514578 = V252443. assign V750206 = V061482 - 1. assign V966125 = V893547 + 1. assign V633584 = V084340 - 1. assign V809984 = V666382 - 1. assign V243930 = V568133 + 1. assign V407765 = V492927 - 1. assign V816634 = V628775 - 1. assign V663882 = V537281 - 1. assign V572005 = V793540 - 1. assign V091216 = V736022 - 1. assign V076622 = V424595 + 1. assign V617493 = V257894. assign V468189 = V701586. assign V666382 = V030683. assign V687249 = V109961 - 1. assign V709824 = V228587 - 1. assign V067548 = V825204. assign V695503 = V111653 - 1. assign V061482 = V707116 + 1. assign V979799 = V709824 + 1. assign V014453 = V056819. assign V063129 = V115141 + 1. assign V967541 = V410358. assign V244972 = V411936 + 1. assign V500423 = V883793. assign V990238 = V928315. assign V530935 = V257065. assign V891073 = V643220. assign V941650 = V838956 - 1. assign V871109 = V615134 - 1. assign V056819 = V966125 - 1. assign V642069 = V233337 + 1. assign V024978 = V823869 + 1. assign V810735 = V135599 + 1. assign V337089 = V308961 - 1. assign V168922 = V472727 + 1. assign V092662 = V143129. assign V726372 = V294141 + 1. assign V063704 = V755161. assign V976780 = V565471. assign V740100 = V048173 + 1. assign V331351 = V909692. assign V348562 = V885273. assign V532279 = V865036 - 1. assign V643220 = V109961. assign V260768 = V135599. assign V311043 = V317729 + 1. assign V494629 = V407765 - 1. assign V411264 = V687249. assign V685037 = V695503. assign V061470 = V535244 + 1. assign V172712 = V719914 + 1. assign V813790 = V899654 + 1. assign V733096 = V038745 + 1. assign V942938 = V109961 + 1. assign V058621 = V407765 + 1. assign V499708 = V829753 + 1. assign V613592 = V494629. assign V951485 = V109961. assign V628775 = V791626 + 1. assign V695765 = V119406 - 1. assign V250108 = V435053 + 1. assign V919603 = V269664. assign V786099 = V736828. assign V445363 = V030683. assign V027213 = V372260. assign V539476 = V252443 - 1. assign V269664 = V417575 - 1. assign V766960 = V346083 - 1. assign V569394 = V539375. assign V687173 = V599095. assign V197078 = V372260 + 1. assign V928315 = V357058. assign V261061 = V468189 + 1. assign V707116 = V047528. assign V560120 = V398610. assign V257894 = V791626 + 1. assign V865036 = V595224 + 1. assign V539375 = V599117. assign V729258 = V403686. assign V791626 = V197078 + 1. assign V797582 = V532279 + 1. assign V144868 = V719914 + 1. assign V188551 = V357058 - 1. assign V186513 = V197078 - 1. assign V222105 = V109961 + 1. assign V207723 = V492927. assign V400077 = V657996 + 1. assign V424595 = V445363 - 1. assign V253280 = V658834 + 1. assign V313941 = V143129 - 1. assign V141533 = V649303. assign V663039 = V269664. assign V826254 = V407765 - 1. assign V913585 = V707870. assign V358577 = V492927 + 1. assign V361100 = V492927. assign V063012 = V514578 + 1. assign V465830 = V659307 + 1. assign V423133 = V865036 + 1. assign V884431 = V356881. assign V232322 = V274249. assign V943548 = V222105 + 1. assign V638553 = V909692 + 1. assign V454300 = V272396 - 1. assign V196621 = V111653 + 1. assign V711232 = V578811 - 1. assign V435053 = V197078 + 1. assign V234977 = V346255. assign V519624 = V324331 + 1. assign V569072 = V248585. assign V964505 = V228587 - 1. assign V417575 = V357058 - 1. assign V498964 = V942938 + 1. assign V377467 = V029786 - 1. assign V600375 = V838026. assign V856387 = V829753 - 1. assign V881409 = V185373 + 1. assign V502770 = V736022 + 1. assign V760627 = V337089 + 1. assign V129696 = V951485. assign V980570 = V909692. assign V283424 = V111653 + 1. assign V526055 = V746482 - 1. assign V439914 = V564669 + 1. assign V252818 = V938703. assign V528210 = V687173 - 1. assign V228587 = V357058 + 1. assign V029786 = V185373 + 1. assign V878194 = V096642. assign V752358 = V535244 + 1. assign V715156 = V599117 - 1. assign V578811 = V687173. assign V992239 = V640289. assign V215995 = V838026 + 1. assign V030683 = V643220 + 1. assign V216590 = V185373 - 1. assign V909078 = V011617 - 1. assign V579027 = V687249 - 1. assign V800380 = V186513 + 1. assign V838956 = V346083. assign V337603 = V128559. assign V621953 = V966125 - 1. assign V386398 = V924057. assign V187791 = V216590. assign V634475 = V666382. assign V083765 = V555469 - 1. assign V938703 = V346255. assign V252443 = V579027 - 1. assign V398610 = V666382. assign V066547 = V029786 - 1. assign V812290 = V407765 - 1. assign V243792 = V337089 - 1. assign V547492 = V979799 - 1. assign V885273 = V331351. assign V555469 = V507356 + 1. assign V274249 = V439914 - 1. assign V701586 = V037441 - 1. assign V649303 = V357058. assign V746974 = V532279. assign V324331 = V411936 + 1. assign V657996 = V980570 - 1. assign V139332 = V011617. assign V346255 = V213847 + 1. assign V275934 = V435053. assign V893547 = V112588 - 1. assign V826139 = V529740. assign V405934 = V332787 - 1. assign V514784 = V411936 - 1. assign V888181 = V045223 - 1. assign V269804 = V760627. assign V056288 = V445363 - 1. assign V517073 = V514784 + 1. assign V411936 = V411264 - 1. assign V535244 = V222105 - 1. assign V241489 = V529740 - 1. assign V769745 = V979799. assign V141804 = V838956. assign V716000 = V687249 + 1. assign V045223 = V709824. assign V599095 = V956597 + 1. assign V889043 = V045223 + 1. assign V107658 = V313941. assign V028925 = V782144 - 1. assign V350589 = V564669 + 1. assign V293008 = V127398 + 1. assign V883793 = V838026 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V838026 = V222105 + 1. assign V105008 = V346083 + 1. assign V161375 = V976752 - 1. assign V758601 = V966493. assign V709252 = V881409. assign V011617 = V829753 - 1. assign V746482 = V252443 + 1. assign V084340 = V109961. assign V063252 = V716000 - 1. assign V492927 = V109961 + 1. assign V659307 = V186513. assign V657227 = V909078. assign V325457 = V174060 + 1. assign V820178 = V185373 + 1. assign V839323 = V047528 + 1. assign V550724 = V317729 - 1. assign V027905 = V498964 + 1. assign V119406 = V410358. assign V734179 = V331351 + 1. assign V656024 = V064418 + 1. assign V272396 = V560543 - 1. assign V537281 = V638553. assign V958390 = V439914 + 1. assign V390857 = V233337 - 1. assign V355558 = V643220 - 1. assign V394051 = V091216 + 1. assign V736022 = V045223 + 1. assign V109283 = V529273 + 1. assign V793540 = V241489 + 1. assign V064418 = V357058 - 1. assign V403686 = V492927 + 1. assign V840139 = V924057 - 1. assign V233337 = V220067 - 1. assign V615134 = V760627 + 1. assign V707870 = V492927 - 1. assign V157131 = V047528 - 1. assign V335140 = V196621. assign V080496 = V248585 - 1. assign V964395 = V599095. assign V353803 = V107658. assign V374209 = V687249. assign V829753 = V666382. assign V148543 = V709252 + 1. assign V317729 = V029786. assign V304930 = V746974. assign V507356 = V924057. assign V568133 = V337089. assign V156121 = V410358 + 1. assign V608849 = V407765 + 1. assign V663635 = V649303. assign V827792 = V535244. assign V955830 = V634721 + 1. assign V899654 = V220067 + 1. assign V560543 = V924057. assign V997199 = V417575. assign V924057 = V417575 - 1. assign V185373 = V357058 - 1. assign V631725 = V144868 - 1. assign V560166 = V507356. assign V764564 = V030683 - 1. assign V589496 = V760627. assign V825204 = V856387. assign V224878 = V634475 - 1. assign V755161 = V091216 + 1. assign V346083 = V535244. assign V172098 = V951485. assign V038745 = V791279 + 1. assign V348863 = V174060 + 1. assign V035869 = V589496 + 1. assign V828340 = V273420 + 1. assign V931019 = V317729 + 1. assign V634721 = V599117 - 1. assign V966493 = V716000. assign V356881 = V838956 - 1. assign V284137 = V539476 - 1. assign V273420 = V187791 - 1. assign V742449 = V854432. assign V154008 = V539476. assign V069037 = V924057. assign V135599 = V943548. assign V037441 = V313941. assign V599117 = V736022. assign V257065 = V955830 - 1. assign V127398 = V535244. assign V143129 = 2. assign V166618 = V273420. assign V112588 = V222105 + 1. assign V157984 = V507356. assign V377496 = V615134 + 1. assign V562409 = V931019 - 1. assign V791279 = V411264 + 1. assign V294141 = V141804 + 1. assign V817386 = V172098 - 1. assign V458589 = V157131. assign V213847 = V222105 - 1. assign V104802 = V928315 - 1. assign V048173 = V709824. assign V607595 = V528210 + 1. assign V128559 = V207723. assign V458314 = V213847 - 1. assign V943772 = V119406 + 1. assign V259684 = V207723 - 1. assign V130109 = V695765 + 1. assign V736828 = V615134 - 1. assign V372260 = V535244 + 1. assign V209670 = V346083. assign V721859 = V865036. assign V271251 = V417575 - 1. assign V660072 = V244972. assign V529740 = V222105 + 1. assign V200574 = V893547 + 1. assign V990681 = V529740 - 1. assign V446131 = V233337 + 1. assign V811773 = V687249. assign V472727 = V658834. assign V332787 = V726372 + 1. assign V927858 = V096642. assign V115212 = V257894 + 1. assign V693721 = V828340. assign V640224 = V357058 + 1. assign V836643 = V943772 - 1. assign V898633 = V499708. assign V782144 = V144868 - 1. assign V976752 = V539375 + 1. assign V886737 = V234977 - 1. assign V511453 = V813790 + 1. assign V308961 = V372260. assign V208508 = V709252 + 1. assign V595224 = V337089 - 1. assign V640289 = V222105. assign V270667 = V313941. assign V752232 = V786099. assign V565471 = V642069 + 1. assign V823869 = V417575 + 1. assign V719914 = V865036 + 1. assign V890993 = V884431. assign V174060 = V579027 + 1. assign V564669 = V064418. assign V854432 = V716000 - 1. assign V789880 = V726372 - 1. assign V395711 = V172098. assign V909692 = V658834 - 1. assign V270086 = V507356. assign V096642 = V045223 + 1. assign V220067 = V966125 - 1. assign V658834 = V579027 - 1. assign V828995 = V215995 + 1. assign V177218 = V411264. assign V357058 = V308961. assign V065620 = V390857 - 1. assign V047528 = V197078. assign V410358 = V956597 - 1. assign V956597 = V411936 - 1. assign V744729 = V660072 - 1. assign V853771 = V058621 - 1. assign V248585 = V458314 - 1. assign V972032 = V734179. assign V115141 = V909692 + 1. assign V111653 = V657996 - 1. assign V330997 = V943548 - 1. assign V366970 = V530935 + 1. assign V563687 = V502770 + 1. assign V529273 = V709824 - 1. assign V514578 = V252443. assign V750206 = V061482 - 1. assign V966125 = V893547 + 1. assign V633584 = V084340 - 1. assign V809984 = V666382 - 1. assign V243930 = V568133 + 1. assign V407765 = V492927 - 1. assign V816634 = V628775 - 1. assign V663882 = V537281 - 1. assign V572005 = V793540 - 1. assign V091216 = V736022 - 1. assign V076622 = V424595 + 1. assign V617493 = V257894. assign V468189 = V701586. assign V666382 = V030683. assign V687249 = V109961 - 1. assign V709824 = V228587 - 1. assign V067548 = V825204. assign V695503 = V111653 - 1. assign V061482 = V707116 + 1. assign V979799 = V709824 + 1. assign V014453 = V056819. assign V063129 = V115141 + 1. assign V967541 = V410358. assign V244972 = V411936 + 1. assign V500423 = V883793. assign V990238 = V928315. assign V530935 = V257065. assign V891073 = V643220. assign V941650 = V838956 - 1. assign V871109 = V615134 - 1. assign V056819 = V966125 - 1. assign V642069 = V233337 + 1. assign V024978 = V823869 + 1. assign V810735 = V135599 + 1. assign V337089 = V308961 - 1. assign V168922 = V472727 + 1. assign V092662 = V143129. assign V726372 = V294141 + 1. assign V063704 = V755161. assign V976780 = V565471. assign V740100 = V048173 + 1. assign V331351 = V909692. assign V348562 = V885273. assign V532279 = V865036 - 1. assign V643220 = V109961. assign V260768 = V135599. assign V311043 = V317729 + 1. assign V494629 = V407765 - 1. assign V411264 = V687249. assign V685037 = V695503. assign V061470 = V535244 + 1. assign V172712 = V719914 + 1. assign V813790 = V899654 + 1. assign V733096 = V038745 + 1. assign V942938 = V109961 + 1. assign V058621 = V407765 + 1. assign V499708 = V829753 + 1. assign V613592 = V494629. assign V951485 = V109961. assign V628775 = V791626 + 1. assign V695765 = V119406 - 1. assign V250108 = V435053 + 1. assign V919603 = V269664. assign V786099 = V736828. assign V445363 = V030683. assign V027213 = V372260. assign V539476 = V252443 - 1. assign V269664 = V417575 - 1. assign V766960 = V346083 - 1. assign V569394 = V539375. assign V687173 = V599095. assign V197078 = V372260 + 1. assign V928315 = V357058. assign V261061 = V468189 + 1. assign V707116 = V047528. assign V560120 = V398610. assign V257894 = V791626 + 1. assign V865036 = V595224 + 1. assign V539375 = V599117. assign V729258 = V403686. assign V791626 = V197078 + 1. assign V797582 = V532279 + 1. assign V144868 = V719914 + 1. assign V188551 = V357058 - 1. assign V186513 = V197078 - 1. assign V222105 = V109961 + 1. assign V207723 = V492927. assign V400077 = V657996 + 1. assign V424595 = V445363 - 1. assign V253280 = V658834 + 1. assign V313941 = V143129 - 1. assign V141533 = V649303. assign V663039 = V269664. assign V826254 = V407765 - 1. assign V913585 = V707870. assign V358577 = V492927 + 1. assign V361100 = V492927. assign V063012 = V514578 + 1. assign V465830 = V659307 + 1. assign V423133 = V865036 + 1. assign V884431 = V356881. assign V232322 = V274249. assign V943548 = V222105 + 1. assign V638553 = V909692 + 1. assign V454300 = V272396 - 1. assign V196621 = V111653 + 1. assign V711232 = V578811 - 1. assign V435053 = V197078 + 1. assign V234977 = V346255. assign V519624 = V324331 + 1. assign V569072 = V248585. assign V964505 = V228587 - 1. assign V417575 = V357058 - 1. assign V498964 = V942938 + 1. assign V377467 = V029786 - 1. assign V600375 = V838026. assign V856387 = V829753 - 1. assign V881409 = V185373 + 1. assign V502770 = V736022 + 1. assign V760627 = V337089 + 1. assign V129696 = V951485. assign V980570 = V909692. assign V283424 = V111653 + 1. assign V526055 = V746482 - 1. assign V439914 = V564669 + 1. assign V252818 = V938703. assign V528210 = V687173 - 1. assign V228587 = V357058 + 1. assign V029786 = V185373 + 1. assign V878194 = V096642. assign V752358 = V535244 + 1. assign V715156 = V599117 - 1. assign V578811 = V687173. assign V992239 = V640289. assign V215995 = V838026 + 1. assign V030683 = V643220 + 1. assign V216590 = V185373 - 1. assign V909078 = V011617 - 1. assign V579027 = V687249 - 1. assign V800380 = V186513 + 1. assign V838956 = V346083. assign V337603 = V128559. assign V621953 = V966125 - 1. assign V386398 = V924057. assign V187791 = V216590. assign V634475 = V666382. assign V083765 = V555469 - 1. assign V938703 = V346255. assign V252443 = V579027 - 1. assign V398610 = V666382. assign V066547 = V029786 - 1. assign V812290 = V407765 - 1. assign V243792 = V337089 - 1. assign V547492 = V979799 - 1. assign V885273 = V331351. assign V555469 = V507356 + 1. assign V274249 = V439914 - 1. assign V701586 = V037441 - 1. assign V649303 = V357058. assign V746974 = V532279. assign V324331 = V411936 + 1. assign V657996 = V980570 - 1. assign V139332 = V011617. assign V346255 = V213847 + 1. assign V275934 = V435053. assign V893547 = V112588 - 1. assign V826139 = V529740. assign V405934 = V332787 - 1. assign V514784 = V411936 - 1. assign V888181 = V045223 - 1. assign V269804 = V760627. assign V056288 = V445363 - 1. assign V517073 = V514784 + 1. assign V411936 = V411264 - 1. assign V535244 = V222105 - 1. assign V241489 = V529740 - 1. assign V769745 = V979799. assign V141804 = V838956. assign V716000 = V687249 + 1. assign V045223 = V709824. assign V599095 = V956597 + 1. assign V889043 = V045223 + 1. assign V107658 = V313941. assign V028925 = V782144 - 1. assign V350589 = V564669 + 1. assign V293008 = V127398 + 1. assign V883793 = V838026 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV143129 = 2;\n\nFrom these direct assignment(s), we have: \nV313941 = V143129 - 1 = 2 - 1 =1;\nV107658 = V313941 = 1;\nV353803 = V107658 = 1;\nNo other varaibles can be derived from V353803;\nNo other varaibles can be derived from V107658;\nV270667 = V313941 = 1;\nNo other varaibles can be derived from V270667;\nV037441 = V313941 = 1;\nV701586 = V037441 - 1 = 1 - 1 =0;\nV468189 = V701586 = 0;\nV261061 = V468189 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V261061;\nNo other varaibles can be derived from V468189;\nNo other varaibles can be derived from V701586;\nNo other varaibles can be derived from V037441;\nNo other varaibles can be derived from V313941;\nV092662 = V143129 = 2;\nNo other varaibles can be derived from V092662;\nNo other varaibles can be derived from V143129;\n\nNow we have done all the calculations. Derived variables are:\nV143129 = 2;\nV313941 = 1;\nV107658 = 1;\nV353803 = 1;\nV270667 = 1;\nV037441 = 1;\nV701586 = 0;\nV468189 = 0;\nV261061 = 1;\nV092662 = 2;\n\nNow we have finished this problem. ANSWER:\nV701586, V468189\n", "role": "assistant" } ]

[ "V996596" ]

[ { "content": "<context>\nassign V446342 = V715266 - 1. assign V312052 = V599848 - 1. assign V828039 = V808721 + 1. assign V409012 = V175893 - 1. assign V991239 = V385242 - 1. assign V993229 = V396649. assign V602993 = V492245 - 1. assign V254570 = V808721. assign V366369 = V685569 - 1. assign V601681 = V950270 - 1. assign V134011 = V808721 - 1. assign V276068 = V937923 + 1. assign V091162 = V598275 - 1. assign V219139 = V528254. assign V746817 = V741431 + 1. assign V160641 = V854646. assign V566067 = V879732 - 1. assign V934745 = V543964. assign V652422 = V792799 + 1. assign V306890 = V522530. assign V860398 = V405236 + 1. assign V719842 = V147710 + 1. assign V161422 = V343247. assign V505729 = V721550 + 1. assign V103585 = V571991 + 1. assign V094824 = V529727. assign V871294 = V704017 + 1. assign V161918 = V223125 + 1. assign V159151 = V808721 + 1. assign V072217 = V935563 + 1. assign V620798 = V386153 + 1. assign V002036 = V766051 + 1. assign V910793 = V652422 + 1. assign V937923 = V405236. assign V678217 = V746817. assign V111398 = V405236. assign V598275 = V303084. assign V208470 = V160641 + 1. assign V084202 = V813933 - 1. assign V175893 = V821350 - 1. assign V634026 = V879732 + 1. assign V388859 = V243961 - 1. assign V522530 = V883333. assign V738853 = V091162 - 1. assign V772605 = V009275 - 1. assign V415109 = V596083 + 1. assign V902358 = V133005 + 1. assign V644222 = V118827 - 1. assign V543674 = V784518 + 1. assign V741431 = V454517. assign V861988 = V770011. assign V764831 = V147710. assign V547084 = V121182 - 1. assign V431561 = V535469. assign V266519 = V990870 + 1. assign V888034 = V374974 + 1. assign V516022 = V061164. assign V561559 = V149241 + 1. assign V403491 = V528254 + 1. assign V748605 = V860802 + 1. assign V868227 = V813933. assign V407805 = V122782. assign V064554 = V227112. assign V093164 = V828039 - 1. assign V813933 = V199115. assign V385242 = V091162 + 1. assign V905662 = V047229 + 1. assign V725614 = V868227 + 1. assign V441230 = V520429 + 1. assign V680351 = V637255 - 1. assign V862326 = V011601. assign V838537 = V084202 - 1. assign V620521 = V210979 - 1. assign V649256 = V047229 + 1. assign V100507 = V934745. assign V765404 = V184691 - 1. assign V724422 = V366369 - 1. assign V749433 = V649256 - 1. assign V527430 = V725152 - 1. assign V125269 = V547084 - 1. assign V254232 = V862326 + 1. assign V241952 = V788862 - 1. assign V089245 = V547084. assign V210979 = V169472 + 1. assign V025748 = V598275 + 1. assign V705649 = V415109 + 1. assign V520429 = V111398. assign V106751 = V598275 - 1. assign V223125 = V907326. assign V953554 = V366369 - 1. assign V684862 = V418007 + 1. assign V551525 = V811056 - 1. assign V677308 = V179976 - 1. assign V448124 = V879732 - 1. assign V089328 = V282540. assign V061164 = V813933. assign V155720 = V704017 - 1. assign V173217 = V649256. assign V355401 = V227112. assign V256829 = V227112 + 1. assign V699550 = V169472 - 1. assign V054019 = V601681. assign V875148 = V838537 - 1. assign V921412 = V149168. assign V133005 = V149241. assign V492245 = V522530 + 1. assign V131876 = V093257. assign V934525 = V115627. assign V278759 = V599208. assign V820746 = V888034. assign V154327 = V705649 - 1. assign V124927 = V064554 - 1. assign V118255 = V505729 - 1. assign V822206 = V828039 - 1. assign V303084 = V854646. assign V351865 = V925656 + 1. assign V811056 = V091162 - 1. assign V461371 = V303084. assign V294165 = V248709. assign V356738 = V678217 - 1. assign V031892 = V741431 - 1. assign V788862 = V169472 - 1. assign V785828 = V489433. assign V983335 = V179976. assign V599848 = V047229. assign V808721 = V199115 - 1. assign V905511 = V179976. assign V704017 = V964388. assign V545911 = V649256. assign V497024 = V414467 - 1. assign V016095 = V199115 + 1. assign V281255 = V492245 - 1. assign V779905 = V322246 - 1. assign V792799 = V520429 + 1. assign V248709 = V210979 - 1. assign V685569 = V093257. assign V529727 = V179976 - 1. assign V386997 = V312052 - 1. assign V022635 = V996596 - 1. assign V165356 = V054019 + 1. assign V079512 = V386153. assign V523810 = V111398 + 1. assign V206261 = V172937 + 1. assign V945992 = V934745 - 1. assign V116621 = V905662 + 1. assign V115627 = V528254 + 1. assign V585606 = V260143 + 1. assign V749925 = V613220 + 1. assign V243961 = V522530 + 1. assign V009275 = V093257. assign V284983 = V712556. assign V990870 = V522530. assign V288507 = V186135 + 1. assign V712556 = V854646. assign V989120 = V599208. assign V907326 = V813933. assign V533050 = V469694 - 1. assign V986071 = V115627 + 1. assign V942761 = V599208. assign V121182 = V649256 + 1. assign V443428 = V115627 + 1. assign V159006 = V121182 + 1. assign V086918 = V149168. assign V554737 = V879732 + 1. assign V488480 = V179506 + 1. assign V715266 = V118827 - 1. assign V543964 = V990870 - 1. assign V122782 = V871294 - 1. assign V658282 = V840780. assign V242140 = V550528 - 1. assign V926462 = 7. assign V195262 = V248709 + 1. assign V549970 = V738853. assign V753813 = V903514. assign V687651 = V199115. assign V917921 = V428068 + 1. assign V268356 = V100507 + 1. assign V147710 = V821350 + 1. assign V524093 = V009275 - 1. assign V293589 = V903514. assign V405236 = V093257 + 1. assign V396649 = V613220. assign V911371 = V637255 + 1. assign V613220 = V111398. assign V550528 = V111398. assign V679714 = V748605 - 1. assign V479049 = V993229 + 1. assign V498165 = V990870 + 1. assign V650804 = V599208 + 1. assign V282540 = V227112 + 1. assign V962874 = V199115. assign V674474 = V091162. assign V362576 = V821350 + 1. assign V784518 = V414467. assign V230813 = V543964 - 1. assign V093257 = V883333. assign V371008 = V443428 + 1. assign V194380 = V822206 - 1. assign V656417 = V566067 + 1. assign V571991 = V303084 + 1. assign V781852 = V571991 + 1. assign V286755 = V953554. assign V986637 = V091162 - 1. assign V428052 = V962874. assign V048257 = V840780 + 1. assign V964388 = V489433. assign V471427 = V808721 + 1. assign V428068 = V905662. assign V935563 = V598275 - 1. assign V009006 = V356738 + 1. assign V824201 = V516022 + 1. assign V317466 = V599208. assign V588283 = V637255 + 1. assign V539941 = V549970 - 1. assign V691795 = V840780 - 1. assign V840780 = V822206 + 1. assign V121746 = V386997. assign V722161 = V208470 + 1. assign V971145 = V549970 + 1. assign V636078 = V306890 - 1. assign V864092 = V875148 + 1. assign V950270 = V588283. assign V674660 = V317466 - 1. assign V976937 = V413118 + 1. assign V199115 = V883333. assign V477351 = V883568 + 1. assign V528254 = V260143 + 1. assign V011601 = V169472. assign V414467 = V528254 + 1. assign V599208 = V106751 + 1. assign V413118 = V547084 - 1. assign V051855 = V649256. assign V656355 = V492245 - 1. assign V247255 = V643507 + 1. assign V835277 = V529727 + 1. assign V644754 = V842945 - 1. assign V287343 = V905662 + 1. assign V322246 = V106751 - 1. assign V597383 = V748605 - 1. assign V637255 = V986071 - 1. assign V149168 = V149241 + 1. assign V799569 = V460881 - 1. assign V256308 = V175893 + 1. assign V585216 = V950270. assign V454517 = V547084. assign V614623 = V725614 + 1. assign V486321 = V089245 - 1. assign V224686 = V597383. assign V138871 = V781852 - 1. assign V394654 = V243961 - 1. assign V230191 = V650804 + 1. assign V104091 = V064554. assign V721550 = V121182. assign V427573 = V680939. assign V929658 = V821350 - 1. assign V687870 = V469694 - 1. assign V184691 = V278759 - 1. assign V535469 = V547084 - 1. assign V037636 = V759741. assign V806586 = V535469. assign V681779 = V278818 + 1. assign V933608 = V520429. assign V539322 = V064554. assign V278818 = V917921. assign V533456 = V832726 + 1. assign V068783 = V602954. assign V352439 = V460881. assign V065780 = V528254 + 1. assign V476371 = V785828. assign V169472 = V186135 - 1. assign V358918 = V934745 + 1. assign V751047 = V230813. assign V411240 = V382671 + 1. assign V145263 = V260143 - 1. assign V933778 = V322246. assign V774501 = V613220 + 1. assign V149241 = V926462 - 1. assign V418007 = V281255. assign V343247 = V811056 - 1. assign V943030 = V547084. assign V602954 = V962874 + 1. assign V386153 = V124927. assign V968504 = V543674 + 1. assign V777483 = V443428 - 1. assign V176140 = V312052 - 1. assign V821350 = V131876 - 1. assign V374974 = V175893 + 1. assign V504660 = V415109 - 1. assign V172937 = V522530. assign V589919 = V047229 + 1. assign V012396 = V883333 + 1. assign V679248 = V792799. assign V680939 = V009275. assign V770011 = V929658 - 1. assign V903514 = V460881. assign V712125 = V254232 + 1. assign V996596 = V149168 + 1. assign V245633 = V415109 + 1. assign V460881 = V084202. assign V061332 = V774501 - 1. assign V844774 = V160641 - 1. assign V179976 = V613220 - 1. assign V800613 = V962874. assign V596083 = V160641 + 1. assign V441257 = V418007 + 1. assign V738389 = V779905 + 1. assign V766051 = V454517 - 1. assign V171003 = V278759. assign V787155 = V498165 + 1. assign V643507 = V788862. assign V320407 = V543964 + 1. assign V069804 = V691795 - 1. assign V423556 = V854646. assign V611659 = V248709. assign V759200 = V260143. assign V823433 = V266519. assign V212469 = V599208 + 1. assign V186135 = V303084. assign V469694 = V571991 - 1. assign V227112 = V199115 + 1. assign V942454 = V993229 - 1. assign V118827 = V598275. assign V925656 = V748605 - 1. assign V489433 = V210979 - 1. assign V047229 = V883333 + 1. assign V854646 = V131876. assign V886651 = V835277. assign V860802 = V522530 - 1. assign V342470 = V154125. assign V142710 = V227112 - 1. assign V904593 = V498165 + 1. assign V832726 = V722161 - 1. assign V357076 = V371008. assign V055822 = V184691 - 1. assign V759741 = V784518 + 1. assign V842945 = V685569 + 1. assign V179506 = V800613 - 1. assign V964873 = V792799 - 1. assign V725152 = V522530 + 1. assign V154125 = V589919 + 1. assign V119739 = V002036. assign V879732 = V093257. assign V330619 = V492245. assign V016845 = V535469. assign V382671 = V405236. assign V062020 = V371008 + 1. assign V883568 = V199115 - 1. assign V260143 = V860802 - 1. assign V325829 = V210979 + 1. assign V025681 = V724422. assign V683567 = V905662 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V446342 = V715266 - 1. assign V312052 = V599848 - 1. assign V828039 = V808721 + 1. assign V409012 = V175893 - 1. assign V991239 = V385242 - 1. assign V993229 = V396649. assign V602993 = V492245 - 1. assign V254570 = V808721. assign V366369 = V685569 - 1. assign V601681 = V950270 - 1. assign V134011 = V808721 - 1. assign V276068 = V937923 + 1. assign V091162 = V598275 - 1. assign V219139 = V528254. assign V746817 = V741431 + 1. assign V160641 = V854646. assign V566067 = V879732 - 1. assign V934745 = V543964. assign V652422 = V792799 + 1. assign V306890 = V522530. assign V860398 = V405236 + 1. assign V719842 = V147710 + 1. assign V161422 = V343247. assign V505729 = V721550 + 1. assign V103585 = V571991 + 1. assign V094824 = V529727. assign V871294 = V704017 + 1. assign V161918 = V223125 + 1. assign V159151 = V808721 + 1. assign V072217 = V935563 + 1. assign V620798 = V386153 + 1. assign V002036 = V766051 + 1. assign V910793 = V652422 + 1. assign V937923 = V405236. assign V678217 = V746817. assign V111398 = V405236. assign V598275 = V303084. assign V208470 = V160641 + 1. assign V084202 = V813933 - 1. assign V175893 = V821350 - 1. assign V634026 = V879732 + 1. assign V388859 = V243961 - 1. assign V522530 = V883333. assign V738853 = V091162 - 1. assign V772605 = V009275 - 1. assign V415109 = V596083 + 1. assign V902358 = V133005 + 1. assign V644222 = V118827 - 1. assign V543674 = V784518 + 1. assign V741431 = V454517. assign V861988 = V770011. assign V764831 = V147710. assign V547084 = V121182 - 1. assign V431561 = V535469. assign V266519 = V990870 + 1. assign V888034 = V374974 + 1. assign V516022 = V061164. assign V561559 = V149241 + 1. assign V403491 = V528254 + 1. assign V748605 = V860802 + 1. assign V868227 = V813933. assign V407805 = V122782. assign V064554 = V227112. assign V093164 = V828039 - 1. assign V813933 = V199115. assign V385242 = V091162 + 1. assign V905662 = V047229 + 1. assign V725614 = V868227 + 1. assign V441230 = V520429 + 1. assign V680351 = V637255 - 1. assign V862326 = V011601. assign V838537 = V084202 - 1. assign V620521 = V210979 - 1. assign V649256 = V047229 + 1. assign V100507 = V934745. assign V765404 = V184691 - 1. assign V724422 = V366369 - 1. assign V749433 = V649256 - 1. assign V527430 = V725152 - 1. assign V125269 = V547084 - 1. assign V254232 = V862326 + 1. assign V241952 = V788862 - 1. assign V089245 = V547084. assign V210979 = V169472 + 1. assign V025748 = V598275 + 1. assign V705649 = V415109 + 1. assign V520429 = V111398. assign V106751 = V598275 - 1. assign V223125 = V907326. assign V953554 = V366369 - 1. assign V684862 = V418007 + 1. assign V551525 = V811056 - 1. assign V677308 = V179976 - 1. assign V448124 = V879732 - 1. assign V089328 = V282540. assign V061164 = V813933. assign V155720 = V704017 - 1. assign V173217 = V649256. assign V355401 = V227112. assign V256829 = V227112 + 1. assign V699550 = V169472 - 1. assign V054019 = V601681. assign V875148 = V838537 - 1. assign V921412 = V149168. assign V133005 = V149241. assign V492245 = V522530 + 1. assign V131876 = V093257. assign V934525 = V115627. assign V278759 = V599208. assign V820746 = V888034. assign V154327 = V705649 - 1. assign V124927 = V064554 - 1. assign V118255 = V505729 - 1. assign V822206 = V828039 - 1. assign V303084 = V854646. assign V351865 = V925656 + 1. assign V811056 = V091162 - 1. assign V461371 = V303084. assign V294165 = V248709. assign V356738 = V678217 - 1. assign V031892 = V741431 - 1. assign V788862 = V169472 - 1. assign V785828 = V489433. assign V983335 = V179976. assign V599848 = V047229. assign V808721 = V199115 - 1. assign V905511 = V179976. assign V704017 = V964388. assign V545911 = V649256. assign V497024 = V414467 - 1. assign V016095 = V199115 + 1. assign V281255 = V492245 - 1. assign V779905 = V322246 - 1. assign V792799 = V520429 + 1. assign V248709 = V210979 - 1. assign V685569 = V093257. assign V529727 = V179976 - 1. assign V386997 = V312052 - 1. assign V022635 = V996596 - 1. assign V165356 = V054019 + 1. assign V079512 = V386153. assign V523810 = V111398 + 1. assign V206261 = V172937 + 1. assign V945992 = V934745 - 1. assign V116621 = V905662 + 1. assign V115627 = V528254 + 1. assign V585606 = V260143 + 1. assign V749925 = V613220 + 1. assign V243961 = V522530 + 1. assign V009275 = V093257. assign V284983 = V712556. assign V990870 = V522530. assign V288507 = V186135 + 1. assign V712556 = V854646. assign V989120 = V599208. assign V907326 = V813933. assign V533050 = V469694 - 1. assign V986071 = V115627 + 1. assign V942761 = V599208. assign V121182 = V649256 + 1. assign V443428 = V115627 + 1. assign V159006 = V121182 + 1. assign V086918 = V149168. assign V554737 = V879732 + 1. assign V488480 = V179506 + 1. assign V715266 = V118827 - 1. assign V543964 = V990870 - 1. assign V122782 = V871294 - 1. assign V658282 = V840780. assign V242140 = V550528 - 1. assign V926462 = 7. assign V195262 = V248709 + 1. assign V549970 = V738853. assign V753813 = V903514. assign V687651 = V199115. assign V917921 = V428068 + 1. assign V268356 = V100507 + 1. assign V147710 = V821350 + 1. assign V524093 = V009275 - 1. assign V293589 = V903514. assign V405236 = V093257 + 1. assign V396649 = V613220. assign V911371 = V637255 + 1. assign V613220 = V111398. assign V550528 = V111398. assign V679714 = V748605 - 1. assign V479049 = V993229 + 1. assign V498165 = V990870 + 1. assign V650804 = V599208 + 1. assign V282540 = V227112 + 1. assign V962874 = V199115. assign V674474 = V091162. assign V362576 = V821350 + 1. assign V784518 = V414467. assign V230813 = V543964 - 1. assign V093257 = V883333. assign V371008 = V443428 + 1. assign V194380 = V822206 - 1. assign V656417 = V566067 + 1. assign V571991 = V303084 + 1. assign V781852 = V571991 + 1. assign V286755 = V953554. assign V986637 = V091162 - 1. assign V428052 = V962874. assign V048257 = V840780 + 1. assign V964388 = V489433. assign V471427 = V808721 + 1. assign V428068 = V905662. assign V935563 = V598275 - 1. assign V009006 = V356738 + 1. assign V824201 = V516022 + 1. assign V317466 = V599208. assign V588283 = V637255 + 1. assign V539941 = V549970 - 1. assign V691795 = V840780 - 1. assign V840780 = V822206 + 1. assign V121746 = V386997. assign V722161 = V208470 + 1. assign V971145 = V549970 + 1. assign V636078 = V306890 - 1. assign V864092 = V875148 + 1. assign V950270 = V588283. assign V674660 = V317466 - 1. assign V976937 = V413118 + 1. assign V199115 = V883333. assign V477351 = V883568 + 1. assign V528254 = V260143 + 1. assign V011601 = V169472. assign V414467 = V528254 + 1. assign V599208 = V106751 + 1. assign V413118 = V547084 - 1. assign V051855 = V649256. assign V656355 = V492245 - 1. assign V247255 = V643507 + 1. assign V835277 = V529727 + 1. assign V644754 = V842945 - 1. assign V287343 = V905662 + 1. assign V322246 = V106751 - 1. assign V597383 = V748605 - 1. assign V637255 = V986071 - 1. assign V149168 = V149241 + 1. assign V799569 = V460881 - 1. assign V256308 = V175893 + 1. assign V585216 = V950270. assign V454517 = V547084. assign V614623 = V725614 + 1. assign V486321 = V089245 - 1. assign V224686 = V597383. assign V138871 = V781852 - 1. assign V394654 = V243961 - 1. assign V230191 = V650804 + 1. assign V104091 = V064554. assign V721550 = V121182. assign V427573 = V680939. assign V929658 = V821350 - 1. assign V687870 = V469694 - 1. assign V184691 = V278759 - 1. assign V535469 = V547084 - 1. assign V037636 = V759741. assign V806586 = V535469. assign V681779 = V278818 + 1. assign V933608 = V520429. assign V539322 = V064554. assign V278818 = V917921. assign V533456 = V832726 + 1. assign V068783 = V602954. assign V352439 = V460881. assign V065780 = V528254 + 1. assign V476371 = V785828. assign V169472 = V186135 - 1. assign V358918 = V934745 + 1. assign V751047 = V230813. assign V411240 = V382671 + 1. assign V145263 = V260143 - 1. assign V933778 = V322246. assign V774501 = V613220 + 1. assign V149241 = V926462 - 1. assign V418007 = V281255. assign V343247 = V811056 - 1. assign V943030 = V547084. assign V602954 = V962874 + 1. assign V386153 = V124927. assign V968504 = V543674 + 1. assign V777483 = V443428 - 1. assign V176140 = V312052 - 1. assign V821350 = V131876 - 1. assign V374974 = V175893 + 1. assign V504660 = V415109 - 1. assign V172937 = V522530. assign V589919 = V047229 + 1. assign V012396 = V883333 + 1. assign V679248 = V792799. assign V680939 = V009275. assign V770011 = V929658 - 1. assign V903514 = V460881. assign V712125 = V254232 + 1. assign V996596 = V149168 + 1. assign V245633 = V415109 + 1. assign V460881 = V084202. assign V061332 = V774501 - 1. assign V844774 = V160641 - 1. assign V179976 = V613220 - 1. assign V800613 = V962874. assign V596083 = V160641 + 1. assign V441257 = V418007 + 1. assign V738389 = V779905 + 1. assign V766051 = V454517 - 1. assign V171003 = V278759. assign V787155 = V498165 + 1. assign V643507 = V788862. assign V320407 = V543964 + 1. assign V069804 = V691795 - 1. assign V423556 = V854646. assign V611659 = V248709. assign V759200 = V260143. assign V823433 = V266519. assign V212469 = V599208 + 1. assign V186135 = V303084. assign V469694 = V571991 - 1. assign V227112 = V199115 + 1. assign V942454 = V993229 - 1. assign V118827 = V598275. assign V925656 = V748605 - 1. assign V489433 = V210979 - 1. assign V047229 = V883333 + 1. assign V854646 = V131876. assign V886651 = V835277. assign V860802 = V522530 - 1. assign V342470 = V154125. assign V142710 = V227112 - 1. assign V904593 = V498165 + 1. assign V832726 = V722161 - 1. assign V357076 = V371008. assign V055822 = V184691 - 1. assign V759741 = V784518 + 1. assign V842945 = V685569 + 1. assign V179506 = V800613 - 1. assign V964873 = V792799 - 1. assign V725152 = V522530 + 1. assign V154125 = V589919 + 1. assign V119739 = V002036. assign V879732 = V093257. assign V330619 = V492245. assign V016845 = V535469. assign V382671 = V405236. assign V062020 = V371008 + 1. assign V883568 = V199115 - 1. assign V260143 = V860802 - 1. assign V325829 = V210979 + 1. assign V025681 = V724422. assign V683567 = V905662 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV926462 = 7;\n\nFrom these direct assignment(s), we have: \nV149241 = V926462 - 1 = 7 - 1 =6;\nV149168 = V149241 + 1 = 6 + 1 =7;\nV996596 = V149168 + 1 = 7 + 1 =8;\nV022635 = V996596 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V022635;\nNo other varaibles can be derived from V996596;\nV086918 = V149168 = 7;\nNo other varaibles can be derived from V086918;\nV921412 = V149168 = 7;\nNo other varaibles can be derived from V921412;\nNo other varaibles can be derived from V149168;\nV133005 = V149241 = 6;\nV902358 = V133005 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V902358;\nNo other varaibles can be derived from V133005;\nV561559 = V149241 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V561559;\nNo other varaibles can be derived from V149241;\nNo other varaibles can be derived from V926462;\n\nNow we have done all the calculations. Derived variables are:\nV926462 = 7;\nV149241 = 6;\nV149168 = 7;\nV996596 = 8;\nV022635 = 7;\nV086918 = 7;\nV921412 = 7;\nV133005 = 6;\nV902358 = 7;\nV561559 = 7;\n\nNow we have finished this problem. ANSWER:\nV996596\n", "role": "assistant" } ]

[ "V512714", "V933964", "V935625", "V736573" ]

[ { "content": "<context>\nassign V045363 = V641903 - 1. assign V877654 = V665420. assign V802133 = V842519 + 1. assign V985897 = V985274 - 1. assign V501013 = V618259. assign V147988 = V539953 + 1. assign V513409 = V484274 - 1. assign V038358 = V796274. assign V250984 = V814601. assign V671344 = V353345. assign V556186 = V055361. assign V469295 = V801630. assign V227160 = V042321 - 1. assign V924065 = V472111 - 1. assign V658763 = V703343 + 1. assign V878866 = V542094. assign V886422 = V590089 - 1. assign V407476 = V098929. assign V430335 = V584949. assign V838388 = V706710 - 1. assign V568143 = V985274 + 1. assign V693026 = V864014 - 1. assign V851563 = V133469 - 1. assign V287402 = V098929. assign V566467 = V279047. assign V504913 = V864014 - 1. assign V863014 = V842375 + 1. assign V431890 = V703343 + 1. assign V449263 = V691270. assign V318300 = V706710 - 1. assign V204703 = V318987. assign V975360 = V279043 + 1. assign V972538 = V159309. assign V688533 = V814601. assign V048276 = V295382. assign V519187 = V945171. assign V875008 = V143129 + 1. assign V663474 = V234022. assign V684470 = V515428 + 1. assign V718446 = V108821 - 1. assign V055529 = V443114 + 1. assign V509124 = V515428. assign V007074 = V659286 + 1. assign V004845 = V007074 + 1. assign V410225 = V764904 - 1. assign V670908 = V884693 + 1. assign V415974 = V137344 - 1. assign V861112 = V176759. assign V207075 = V190911. assign V796274 = V974671. assign V918019 = V599928 - 1. assign V825422 = V590089 + 1. assign V143129 = V568143 + 1. assign V669492 = V338564. assign V477709 = V316282 + 1. assign V201524 = V290841. assign V042321 = V086760. assign V440481 = V907379 - 1. assign V078042 = V907379. assign V713128 = V034871 + 1. assign V259778 = V227160 - 1. assign V485557 = V775330. assign V214328 = V082341. assign V842375 = V764904. assign V878185 = V618079 - 1. assign V115156 = V493045 + 1. assign V738518 = V877654 - 1. assign V666427 = V763641 - 1. assign V945171 = V477709. assign V437207 = V659286 - 1. assign V134353 = V241642 + 1. assign V335610 = V732366 + 1. assign V428981 = V838388 + 1. assign V864014 = V814601. assign V665603 = V764904 + 1. assign V604582 = V133800 - 1. assign V512714 = V801630 + 1. assign V417811 = V641714 + 1. assign V060906 = V000724. assign V890606 = V198815 - 1. assign V043963 = V415974 - 1. assign V610337 = V436143 - 1. assign V171402 = V760348. assign V449920 = V599928. assign V135992 = V864148. assign V300084 = V312277 - 1. assign V875537 = V060906 - 1. assign V484741 = V440481 + 1. assign V304655 = V572711. assign V954116 = V952014 + 1. assign V732706 = V663474 + 1. assign V584949 = V985274 + 1. assign V231744 = V433913. assign V280603 = V604582 + 1. assign V773827 = V770271 + 1. assign V436143 = V877654. assign V223192 = V564778 - 1. assign V279047 = V907379 + 1. assign V942578 = V783233 - 1. assign V576792 = V493045. assign V064670 = V808915 + 1. assign V994065 = V952266. assign V539953 = V814601 + 1. assign V615136 = V250984. assign V613999 = V065038 - 1. assign V133469 = V082341 + 1. assign V065038 = V542846 + 1. assign V794981 = V470720 + 1. assign V599503 = V963212 - 1. assign V765258 = V443114. assign V907379 = V985274 + 1. assign V798638 = V190911 + 1. assign V906078 = V408015 - 1. assign V279043 = V084707. assign V202160 = V484741 + 1. assign V290841 = V929763 + 1. assign V785022 = V402145 + 1. assign V728448 = V249872. assign V004026 = V515439 - 1. assign V159309 = V907379 - 1. assign V564778 = V449263. assign V630120 = V201524. assign V241642 = V386261 - 1. assign V331903 = V171402 - 1. assign V641903 = V159309 - 1. assign V338564 = V948158 - 1. assign V084707 = V671344. assign V848805 = V055361 - 1. assign V786123 = V055361 - 1. assign V590089 = V741467. assign V221881 = V060906. assign V629309 = V905456 - 1. assign V659286 = V706710 - 1. assign V933964 = V493045 - 1. assign V515428 = V542094. assign V052392 = V713128 - 1. assign V889581 = V842375 + 1. assign V564253 = V693026. assign V948158 = V884693 + 1. assign V075685 = V207075 - 1. assign V325702 = V814601 - 1. assign V371285 = V482640. assign V929763 = V676367 - 1. assign V402145 = V951355. assign V203414 = V075685 + 1. assign V482885 = V318987 - 1. assign V808915 = V433913 - 1. assign V515680 = V703343. assign V962411 = V504913 + 1. assign V137344 = V064670 + 1. assign V484274 = V750453. assign V041133 = V190911 - 1. assign V903400 = V515680. assign V433573 = V472111 - 1. assign V335613 = V222899. assign V572711 = V485557 - 1. assign V251224 = V618259 - 1. assign V528726 = V173563 + 1. assign V706710 = V816695 - 1. assign V847097 = V676367 + 1. assign V034871 = V325702. assign V334009 = V137344 - 1. assign V816695 = V907379 - 1. assign V842643 = V371285. assign V109256 = V290841. assign V224014 = V665603 + 1. assign V842519 = V295382 - 1. assign V086760 = V584949. assign V442594 = V440481 + 1. assign V853977 = V948158 + 1. assign V856778 = V568143 - 1. assign V935625 = V801630 + 1. assign V336251 = V535942 + 1. assign V834699 = V610337 + 1. assign V289324 = V584949. assign V371937 = V318987 - 1. assign V541368 = V241642 - 1. assign V603692 = V638103 - 1. assign V195395 = V670908. assign V990419 = V690300. assign V914563 = V836268 - 1. assign V905456 = V702220 - 1. assign V086646 = V484274. assign V408015 = V431890 - 1. assign V886874 = V861112. assign V005846 = V159309 + 1. assign V605223 = V075685 - 1. assign V093263 = V287402 + 1. assign V353345 = V159309 + 1. assign V760348 = V864014. assign V169976 = V173563 - 1. assign V082341 = V814601. assign V555897 = V584949 - 1. assign V848590 = V318300. assign V906012 = V875537. assign V482640 = V431890 + 1. assign V637827 = V004845 - 1. assign V665420 = V869982. assign V567923 = V440481. assign V618079 = V007074 + 1. assign V687588 = V484274 + 1. assign V535942 = V103095 + 1. assign V433913 = V143129 + 1. assign V703343 = V599928. assign V697004 = V504913. assign V000724 = V041133 + 1. assign V222899 = V542846 + 1. assign V676367 = V638200 - 1. assign V880687 = V078042 + 1. assign V877710 = V064670 - 1. assign V029324 = V249872. assign V987373 = V757953. assign V882587 = V108821 + 1. assign V792291 = V618079. assign V701585 = V920177 - 1. assign V286738 = V207075 - 1. assign V249872 = V477709 - 1. assign V386261 = V309122. assign V515439 = V951355 + 1. assign V098929 = V985274 - 1. assign V732366 = V436143. assign V547692 = V250984. assign V309122 = V279047 - 1. assign V836268 = V407476. assign V974671 = V985274 - 1. assign V820993 = V309122 + 1. assign V478838 = V724304 - 1. assign V825022 = V037073. assign V135927 = V287402 - 1. assign V475354 = V929763 - 1. assign V765947 = V075685. assign V386614 = V135927 + 1. assign V586964 = V853977 + 1. assign V364314 = V918019. assign V905304 = V665420 - 1. assign V234022 = V825326. assign V387187 = V133999. assign V910707 = V691270 + 1. assign V922589 = V886874. assign V176759 = V415974 + 1. assign V638200 = V309122 + 1. assign V483407 = V029324 + 1. assign V423191 = V198815. assign V822718 = V231744 - 1. assign V620907 = V906012. assign V096772 = V064670. assign V722016 = V638200. assign V469765 = V732706. assign V219116 = V335610. assign V920177 = V249872. assign V369164 = V279043. assign V269169 = V541368 - 1. assign V825326 = V808915 - 1. assign V884745 = V985274 - 1. assign V890237 = V312277 - 1. assign V724304 = V443114 - 1. assign V834287 = V547692 + 1. assign V359630 = V869982 + 1. assign V814601 = V985274 + 1. assign V472111 = V948158 - 1. assign V750453 = V234022. assign V952014 = V485557 - 1. assign V618259 = V948158 + 1. assign V212256 = V836268 + 1. assign V775330 = V861112 + 1. assign V055361 = V808915 - 1. assign V108821 = V263476 + 1. assign V005641 = V973323 + 1. assign V037073 = V143129. assign V174804 = V078042 + 1. assign V071614 = V838388 + 1. assign V764904 = V287402 - 1. assign V110358 = V875008 - 1. assign V493045 = V512714 + 1. assign V078360 = V864014 - 1. assign V312277 = V041133 + 1. assign V513505 = V241642. assign V783830 = V249872 + 1. assign V864148 = V075685. assign V973323 = V690300 + 1. assign V696300 = V757953 - 1. assign V094105 = V407476 - 1. assign V599928 = V568143 - 1. assign V410865 = V433913 + 1. assign V198815 = V875537 - 1. assign V736573 = V512714. assign V951355 = V034871 + 1. assign V047083 = V610337. assign V638103 = V433913. assign V702220 = V190911 + 1. assign V318987 = V431890. assign V884693 = V974671 - 1. assign V757953 = V290841. assign V210361 = V279047 + 1. assign V893150 = V703343 - 1. assign V603518 = V659286. assign V263476 = V816695 - 1. assign V214079 = V690300 - 1. assign V517595 = V783830. assign V953415 = V706710. assign V008846 = V703343 - 1. assign V542094 = V135927 + 1. assign V827605 = V985274 + 1. assign V542846 = V477709 - 1. assign V443114 = V816695 - 1. assign V593163 = V975360. assign V749284 = V974671 + 1. assign V806652 = V227160. assign V770271 = V750453 + 1. assign V088287 = V386261 + 1. assign V963212 = V309122. assign V190911 = V907379 - 1. assign V240623 = V316282 + 1. assign V097790 = V732706. assign V886508 = V316282 + 1. assign V133999 = V783830 - 1. assign V495481 = V493045 + 1. assign V869982 = V190911 - 1. assign V173563 = V477709 + 1. assign V641714 = V825326. assign V741467 = V814601. assign V691270 = V279047 + 1. assign V690300 = V472111. assign V560055 = V042321 + 1. assign V146711 = V599928 - 1. assign V970580 = V133999 + 1. assign V761423 = V195395. assign V173730 = V173563. assign V763641 = V918019 + 1. assign V669078 = V990419. assign V952266 = V605223 + 1. assign V901683 = V542846. assign V173718 = V249872 - 1. assign V162973 = V159309. assign V792695 = V335610 + 1. assign V639738 = V501013 - 1. assign V803931 = V415974 + 1. assign V402906 = V783830 + 1. assign V801630 = 1. assign V305897 = V269169 + 1. assign V109808 = V590089. assign V295382 = V703343 + 1. assign V103095 = V034871 + 1. assign V362574 = V162973. assign V470720 = V691270 + 1. assign V783233 = V659286 + 1. assign V778636 = V162973. assign V133800 = V945171 + 1. assign V440295 = V410865. assign V096261 = V048276. assign V316282 = V974671.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V045363 = V641903 - 1. assign V877654 = V665420. assign V802133 = V842519 + 1. assign V985897 = V985274 - 1. assign V501013 = V618259. assign V147988 = V539953 + 1. assign V513409 = V484274 - 1. assign V038358 = V796274. assign V250984 = V814601. assign V671344 = V353345. assign V556186 = V055361. assign V469295 = V801630. assign V227160 = V042321 - 1. assign V924065 = V472111 - 1. assign V658763 = V703343 + 1. assign V878866 = V542094. assign V886422 = V590089 - 1. assign V407476 = V098929. assign V430335 = V584949. assign V838388 = V706710 - 1. assign V568143 = V985274 + 1. assign V693026 = V864014 - 1. assign V851563 = V133469 - 1. assign V287402 = V098929. assign V566467 = V279047. assign V504913 = V864014 - 1. assign V863014 = V842375 + 1. assign V431890 = V703343 + 1. assign V449263 = V691270. assign V318300 = V706710 - 1. assign V204703 = V318987. assign V975360 = V279043 + 1. assign V972538 = V159309. assign V688533 = V814601. assign V048276 = V295382. assign V519187 = V945171. assign V875008 = V143129 + 1. assign V663474 = V234022. assign V684470 = V515428 + 1. assign V718446 = V108821 - 1. assign V055529 = V443114 + 1. assign V509124 = V515428. assign V007074 = V659286 + 1. assign V004845 = V007074 + 1. assign V410225 = V764904 - 1. assign V670908 = V884693 + 1. assign V415974 = V137344 - 1. assign V861112 = V176759. assign V207075 = V190911. assign V796274 = V974671. assign V918019 = V599928 - 1. assign V825422 = V590089 + 1. assign V143129 = V568143 + 1. assign V669492 = V338564. assign V477709 = V316282 + 1. assign V201524 = V290841. assign V042321 = V086760. assign V440481 = V907379 - 1. assign V078042 = V907379. assign V713128 = V034871 + 1. assign V259778 = V227160 - 1. assign V485557 = V775330. assign V214328 = V082341. assign V842375 = V764904. assign V878185 = V618079 - 1. assign V115156 = V493045 + 1. assign V738518 = V877654 - 1. assign V666427 = V763641 - 1. assign V945171 = V477709. assign V437207 = V659286 - 1. assign V134353 = V241642 + 1. assign V335610 = V732366 + 1. assign V428981 = V838388 + 1. assign V864014 = V814601. assign V665603 = V764904 + 1. assign V604582 = V133800 - 1. assign V512714 = V801630 + 1. assign V417811 = V641714 + 1. assign V060906 = V000724. assign V890606 = V198815 - 1. assign V043963 = V415974 - 1. assign V610337 = V436143 - 1. assign V171402 = V760348. assign V449920 = V599928. assign V135992 = V864148. assign V300084 = V312277 - 1. assign V875537 = V060906 - 1. assign V484741 = V440481 + 1. assign V304655 = V572711. assign V954116 = V952014 + 1. assign V732706 = V663474 + 1. assign V584949 = V985274 + 1. assign V231744 = V433913. assign V280603 = V604582 + 1. assign V773827 = V770271 + 1. assign V436143 = V877654. assign V223192 = V564778 - 1. assign V279047 = V907379 + 1. assign V942578 = V783233 - 1. assign V576792 = V493045. assign V064670 = V808915 + 1. assign V994065 = V952266. assign V539953 = V814601 + 1. assign V615136 = V250984. assign V613999 = V065038 - 1. assign V133469 = V082341 + 1. assign V065038 = V542846 + 1. assign V794981 = V470720 + 1. assign V599503 = V963212 - 1. assign V765258 = V443114. assign V907379 = V985274 + 1. assign V798638 = V190911 + 1. assign V906078 = V408015 - 1. assign V279043 = V084707. assign V202160 = V484741 + 1. assign V290841 = V929763 + 1. assign V785022 = V402145 + 1. assign V728448 = V249872. assign V004026 = V515439 - 1. assign V159309 = V907379 - 1. assign V564778 = V449263. assign V630120 = V201524. assign V241642 = V386261 - 1. assign V331903 = V171402 - 1. assign V641903 = V159309 - 1. assign V338564 = V948158 - 1. assign V084707 = V671344. assign V848805 = V055361 - 1. assign V786123 = V055361 - 1. assign V590089 = V741467. assign V221881 = V060906. assign V629309 = V905456 - 1. assign V659286 = V706710 - 1. assign V933964 = V493045 - 1. assign V515428 = V542094. assign V052392 = V713128 - 1. assign V889581 = V842375 + 1. assign V564253 = V693026. assign V948158 = V884693 + 1. assign V075685 = V207075 - 1. assign V325702 = V814601 - 1. assign V371285 = V482640. assign V929763 = V676367 - 1. assign V402145 = V951355. assign V203414 = V075685 + 1. assign V482885 = V318987 - 1. assign V808915 = V433913 - 1. assign V515680 = V703343. assign V962411 = V504913 + 1. assign V137344 = V064670 + 1. assign V484274 = V750453. assign V041133 = V190911 - 1. assign V903400 = V515680. assign V433573 = V472111 - 1. assign V335613 = V222899. assign V572711 = V485557 - 1. assign V251224 = V618259 - 1. assign V528726 = V173563 + 1. assign V706710 = V816695 - 1. assign V847097 = V676367 + 1. assign V034871 = V325702. assign V334009 = V137344 - 1. assign V816695 = V907379 - 1. assign V842643 = V371285. assign V109256 = V290841. assign V224014 = V665603 + 1. assign V842519 = V295382 - 1. assign V086760 = V584949. assign V442594 = V440481 + 1. assign V853977 = V948158 + 1. assign V856778 = V568143 - 1. assign V935625 = V801630 + 1. assign V336251 = V535942 + 1. assign V834699 = V610337 + 1. assign V289324 = V584949. assign V371937 = V318987 - 1. assign V541368 = V241642 - 1. assign V603692 = V638103 - 1. assign V195395 = V670908. assign V990419 = V690300. assign V914563 = V836268 - 1. assign V905456 = V702220 - 1. assign V086646 = V484274. assign V408015 = V431890 - 1. assign V886874 = V861112. assign V005846 = V159309 + 1. assign V605223 = V075685 - 1. assign V093263 = V287402 + 1. assign V353345 = V159309 + 1. assign V760348 = V864014. assign V169976 = V173563 - 1. assign V082341 = V814601. assign V555897 = V584949 - 1. assign V848590 = V318300. assign V906012 = V875537. assign V482640 = V431890 + 1. assign V637827 = V004845 - 1. assign V665420 = V869982. assign V567923 = V440481. assign V618079 = V007074 + 1. assign V687588 = V484274 + 1. assign V535942 = V103095 + 1. assign V433913 = V143129 + 1. assign V703343 = V599928. assign V697004 = V504913. assign V000724 = V041133 + 1. assign V222899 = V542846 + 1. assign V676367 = V638200 - 1. assign V880687 = V078042 + 1. assign V877710 = V064670 - 1. assign V029324 = V249872. assign V987373 = V757953. assign V882587 = V108821 + 1. assign V792291 = V618079. assign V701585 = V920177 - 1. assign V286738 = V207075 - 1. assign V249872 = V477709 - 1. assign V386261 = V309122. assign V515439 = V951355 + 1. assign V098929 = V985274 - 1. assign V732366 = V436143. assign V547692 = V250984. assign V309122 = V279047 - 1. assign V836268 = V407476. assign V974671 = V985274 - 1. assign V820993 = V309122 + 1. assign V478838 = V724304 - 1. assign V825022 = V037073. assign V135927 = V287402 - 1. assign V475354 = V929763 - 1. assign V765947 = V075685. assign V386614 = V135927 + 1. assign V586964 = V853977 + 1. assign V364314 = V918019. assign V905304 = V665420 - 1. assign V234022 = V825326. assign V387187 = V133999. assign V910707 = V691270 + 1. assign V922589 = V886874. assign V176759 = V415974 + 1. assign V638200 = V309122 + 1. assign V483407 = V029324 + 1. assign V423191 = V198815. assign V822718 = V231744 - 1. assign V620907 = V906012. assign V096772 = V064670. assign V722016 = V638200. assign V469765 = V732706. assign V219116 = V335610. assign V920177 = V249872. assign V369164 = V279043. assign V269169 = V541368 - 1. assign V825326 = V808915 - 1. assign V884745 = V985274 - 1. assign V890237 = V312277 - 1. assign V724304 = V443114 - 1. assign V834287 = V547692 + 1. assign V359630 = V869982 + 1. assign V814601 = V985274 + 1. assign V472111 = V948158 - 1. assign V750453 = V234022. assign V952014 = V485557 - 1. assign V618259 = V948158 + 1. assign V212256 = V836268 + 1. assign V775330 = V861112 + 1. assign V055361 = V808915 - 1. assign V108821 = V263476 + 1. assign V005641 = V973323 + 1. assign V037073 = V143129. assign V174804 = V078042 + 1. assign V071614 = V838388 + 1. assign V764904 = V287402 - 1. assign V110358 = V875008 - 1. assign V493045 = V512714 + 1. assign V078360 = V864014 - 1. assign V312277 = V041133 + 1. assign V513505 = V241642. assign V783830 = V249872 + 1. assign V864148 = V075685. assign V973323 = V690300 + 1. assign V696300 = V757953 - 1. assign V094105 = V407476 - 1. assign V599928 = V568143 - 1. assign V410865 = V433913 + 1. assign V198815 = V875537 - 1. assign V736573 = V512714. assign V951355 = V034871 + 1. assign V047083 = V610337. assign V638103 = V433913. assign V702220 = V190911 + 1. assign V318987 = V431890. assign V884693 = V974671 - 1. assign V757953 = V290841. assign V210361 = V279047 + 1. assign V893150 = V703343 - 1. assign V603518 = V659286. assign V263476 = V816695 - 1. assign V214079 = V690300 - 1. assign V517595 = V783830. assign V953415 = V706710. assign V008846 = V703343 - 1. assign V542094 = V135927 + 1. assign V827605 = V985274 + 1. assign V542846 = V477709 - 1. assign V443114 = V816695 - 1. assign V593163 = V975360. assign V749284 = V974671 + 1. assign V806652 = V227160. assign V770271 = V750453 + 1. assign V088287 = V386261 + 1. assign V963212 = V309122. assign V190911 = V907379 - 1. assign V240623 = V316282 + 1. assign V097790 = V732706. assign V886508 = V316282 + 1. assign V133999 = V783830 - 1. assign V495481 = V493045 + 1. assign V869982 = V190911 - 1. assign V173563 = V477709 + 1. assign V641714 = V825326. assign V741467 = V814601. assign V691270 = V279047 + 1. assign V690300 = V472111. assign V560055 = V042321 + 1. assign V146711 = V599928 - 1. assign V970580 = V133999 + 1. assign V761423 = V195395. assign V173730 = V173563. assign V763641 = V918019 + 1. assign V669078 = V990419. assign V952266 = V605223 + 1. assign V901683 = V542846. assign V173718 = V249872 - 1. assign V162973 = V159309. assign V792695 = V335610 + 1. assign V639738 = V501013 - 1. assign V803931 = V415974 + 1. assign V402906 = V783830 + 1. assign V801630 = 1. assign V305897 = V269169 + 1. assign V109808 = V590089. assign V295382 = V703343 + 1. assign V103095 = V034871 + 1. assign V362574 = V162973. assign V470720 = V691270 + 1. assign V783233 = V659286 + 1. assign V778636 = V162973. assign V133800 = V945171 + 1. assign V440295 = V410865. assign V096261 = V048276. assign V316282 = V974671.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV801630 = 1;\n\nFrom these direct assignment(s), we have: \nV935625 = V801630 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V935625;\nV512714 = V801630 + 1 = 1 + 1 =2;\nV736573 = V512714 = 2;\nNo other varaibles can be derived from V736573;\nV493045 = V512714 + 1 = 2 + 1 =3;\nV495481 = V493045 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V495481;\nV933964 = V493045 - 1 = 3 - 1 =2;\nNo other varaibles can be derived from V933964;\nV576792 = V493045 = 3;\nNo other varaibles can be derived from V576792;\nV115156 = V493045 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V115156;\nNo other varaibles can be derived from V493045;\nNo other varaibles can be derived from V512714;\nV469295 = V801630 = 1;\nNo other varaibles can be derived from V469295;\nNo other varaibles can be derived from V801630;\n\nNow we have done all the calculations. Derived variables are:\nV801630 = 1;\nV935625 = 2;\nV512714 = 2;\nV736573 = 2;\nV493045 = 3;\nV495481 = 4;\nV933964 = 2;\nV576792 = 3;\nV115156 = 4;\nV469295 = 1;\n\nNow we have finished this problem. ANSWER:\nV935625, V512714, V736573, V933964\n", "role": "assistant" } ]

[ "V903094", "V969469", "V583434" ]

[ { "content": "<context>\nassign V887186 = V471243. assign V692389 = V123711. assign V541956 = V041309 + 1. assign V277514 = V597687 - 1. assign V440883 = V295678. assign V930160 = V088916 - 1. assign V538037 = V969547 - 1. assign V324000 = V520129. assign V465002 = V903094 + 1. assign V008950 = V463995 + 1. assign V650340 = V951005 - 1. assign V034049 = V721093 - 1. assign V029800 = V451177 - 1. assign V886332 = V945689 + 1. assign V862965 = V680016. assign V703566 = V886332. assign V614902 = V103597 - 1. assign V349241 = V837337 - 1. assign V704012 = V561879 + 1. assign V423123 = V407756 - 1. assign V451177 = V656559 + 1. assign V295678 = V542681 + 1. assign V226098 = V699257. assign V951005 = V766144 + 1. assign V699257 = V824610. assign V692966 = V331601 + 1. assign V853078 = V544058 + 1. assign V904159 = V740635 - 1. assign V861051 = 2. assign V138762 = V945689 + 1. assign V777854 = V943178 - 1. assign V680047 = V812121. assign V556931 = V837337 + 1. assign V873826 = V386543. assign V998700 = V192855 + 1. assign V031246 = V597687 - 1. assign V766144 = V203501 + 1. assign V860564 = V244210 - 1. assign V010041 = V687171 + 1. assign V961015 = V175022 - 1. assign V880486 = V660503 - 1. assign V964257 = V015756 - 1. assign V119786 = V295678 + 1. assign V768106 = V253015 + 1. assign V081306 = V448198 - 1. assign V106519 = V711773. assign V903094 = V861051 - 1. assign V943178 = V680016 - 1. assign V928284 = V525890 + 1. assign V045247 = V687171 + 1. assign V657064 = V807822 + 1. assign V346434 = V733596 + 1. assign V694603 = V873826. assign V424604 = V768106 - 1. assign V825022 = V692966. assign V003860 = V812121. assign V175022 = V103597 + 1. assign V424399 = V252385 - 1. assign V612929 = V003860 - 1. assign V103597 = V544058 + 1. assign V603155 = V330452. assign V677727 = V330452. assign V643317 = V879038 + 1. assign V792686 = V687171 + 1. assign V021472 = V284430 + 1. assign V123711 = V322192 + 1. assign V448198 = V386543. assign V514696 = V386543. assign V561116 = V277514. assign V465407 = V660503. assign V084110 = V687171 - 1. assign V337942 = V127369 - 1. assign V711773 = V943178 + 1. assign V693299 = V349630 - 1. assign V342959 = V193712 + 1. assign V268343 = V045247. assign V075560 = V244210 - 1. assign V784613 = V123711 - 1. assign V879038 = V777854 - 1. assign V157981 = V239845 - 1. assign V861174 = V740635 - 1. assign V135560 = V410092 + 1. assign V349630 = V882486 + 1. assign V775275 = V703566. assign V392933 = V886269 + 1. assign V816165 = V243599. assign V715197 = V837337 - 1. assign V680016 = V239372. assign V424488 = V792686 - 1. assign V236515 = V886332. assign V716648 = V561116 + 1. assign V286457 = V208891 - 1. assign V331724 = V311686. assign V417076 = V252385 - 1. assign V203501 = V489842. assign V889680 = V335421. assign V874780 = V203501 + 1. assign V461633 = V329514 + 1. assign V371585 = V263258. assign V159082 = V709996 - 1. assign V480382 = V236515 - 1. assign V118310 = V311686. assign V812121 = V951005 + 1. assign V629725 = V075560. assign V945689 = V687783 - 1. assign V824610 = V597687 + 1. assign V739304 = V580171. assign V807822 = V424604 - 1. assign V983399 = V501789 - 1. assign V484831 = V410092 + 1. assign V632547 = V837517 - 1. assign V542114 = V290834 + 1. assign V361107 = V026838 - 1. assign V858580 = V349241 + 1. assign V736222 = V136749 + 1. assign V733018 = V710393 + 1. assign V252385 = V127369. assign V717179 = V277514. assign V192855 = V489842 + 1. assign V156300 = V295678 - 1. assign V488131 = V239372 + 1. assign V313237 = V816165 - 1. assign V239372 = V119843 - 1. assign V957303 = V983399 - 1. assign V969547 = V322192 - 1. assign V623900 = V544058. assign V505244 = V768106. assign V122806 = V460484 - 1. assign V185716 = V632547. assign V504243 = V848165 - 1. assign V803196 = V103597. assign V941889 = V119843. assign V529757 = V834547 - 1. assign V365868 = V580171. assign V716810 = V484831 - 1. assign V979340 = V582340. assign V740635 = V699257 + 1. assign V974086 = V687171 - 1. assign V410092 = V656559. assign V729375 = V349241. assign V855705 = V938932 - 1. assign V926095 = V873826 + 1. assign V567869 = V704012 - 1. assign V846308 = V062363. assign V393139 = V580171 + 1. assign V564740 = V561116. assign V388388 = V295678. assign V979659 = V974086 - 1. assign V848165 = V349630 + 1. assign V837337 = V417076 + 1. assign V834547 = V602354 - 1. assign V079191 = V043628 + 1. assign V253015 = V239845. assign V062363 = V489842 - 1. assign V241181 = V424399 + 1. assign V590298 = V792686 + 1. assign V463995 = V755879 - 1. assign V590647 = V717578 - 1. assign V514119 = V119843. assign V193712 = V488131. assign V733596 = V803196 - 1. assign V840525 = V938932 + 1. assign V150628 = V460484. assign V258538 = V951005. assign V146920 = V775275. assign V436178 = V520129 + 1. assign V386543 = V192855 + 1. assign V594586 = V203501 - 1. assign V173942 = V768106 - 1. assign V582340 = V861051. assign V717578 = V136749. assign V518160 = V058628. assign V903078 = V239372. assign V058628 = V998700 + 1. assign V142230 = V766144 + 1. assign V789328 = V964257 + 1. assign V679818 = V058628 - 1. assign V109943 = V979659 + 1. assign V583336 = V226098 + 1. assign V322192 = V203501 - 1. assign V522059 = V482307. assign V241439 = V388388 + 1. assign V973203 = V632071 - 1. assign V238928 = V379018 - 1. assign V423486 = V118310 + 1. assign V119843 = V203501. assign V015756 = V424604. assign V323827 = V768106. assign V875237 = V824610. assign V757278 = V404916 - 1. assign V333089 = V538037 - 1. assign V378543 = V104234 + 1. assign V656559 = V295678 + 1. assign V953422 = V542681 + 1. assign V744777 = V792686 + 1. assign V940493 = V378543 + 1. assign V278777 = V812121 - 1. assign V522402 = V677833 - 1. assign V042011 = V808814. assign V239845 = V687171 - 1. assign V643848 = V448198 - 1. assign V460484 = V874780. assign V244210 = V241439. assign V404916 = V239845 + 1. assign V743400 = V872751 - 1. assign V916419 = V597687. assign V583205 = V816165 + 1. assign V761074 = V808814. assign V803650 = V687171 - 1. assign V818568 = V777854 - 1. assign V136749 = V277514 - 1. assign V751289 = V151216. assign V693679 = V953422 + 1. assign V727193 = V680016 - 1. assign V002253 = V239845. assign V591207 = V243599 - 1. assign V837517 = V361107 - 1. assign V183321 = V151216 + 1. assign V096457 = V042011 - 1. assign V922312 = V127369. assign V311686 = V879959 + 1. assign V736167 = V331724. assign V407756 = V591207 - 1. assign V597687 = V192855 + 1. assign V591277 = V185981 + 1. assign V677833 = V424488 - 1. assign V647802 = V775275 - 1. assign V243599 = V656559 - 1. assign V427017 = V766144. assign V185981 = V880486. assign V368092 = V903094 + 1. assign V546385 = V837517 - 1. assign V938932 = V879959 + 1. assign V268546 = V388388. assign V331601 = V252385 - 1. assign V755879 = V239845. assign V710393 = V544058. assign V520129 = V079191. assign V879602 = V561116 + 1. assign V715844 = V404916. assign V215542 = V740635 + 1. assign V664960 = V824610 - 1. assign V921402 = V768106 + 1. assign V023062 = V451177 + 1. assign V263258 = V451177 + 1. assign V617928 = V043628 - 1. assign V501789 = V768106 - 1. assign V721093 = V762129. assign V943012 = V873826 - 1. assign V789964 = V660503 + 1. assign V583434 = V969469. assign V997131 = V239372 - 1. assign V462591 = V879602 + 1. assign V190301 = V631148. assign V906529 = V561879 - 1. assign V041309 = V252385. assign V466479 = V021472 + 1. assign V331995 = V282661. assign V626001 = V807822 + 1. assign V056251 = V872751 - 1. assign V872751 = V594586 + 1. assign V713895 = V755879 - 1. assign V969469 = V861051 - 1. assign V054905 = V378543. assign V507293 = V062363 - 1. assign V096917 = V875237 + 1. assign V033766 = V119786 - 1. assign V570957 = V015756 - 1. assign V982734 = V103597 + 1. assign V335421 = V715197 - 1. assign V208891 = V699257. assign V172825 = V597687 - 1. assign V932406 = V716810 - 1. assign V566937 = V739304. assign V035110 = V679818. assign V227445 = V042011 - 1. assign V330452 = V808814 + 1. assign V602354 = V054905. assign V882486 = V322192. assign V846429 = V687171. assign V132872 = V410092 + 1. assign V834911 = V617928 + 1. assign V066899 = V096457 + 1. assign V719383 = V156300. assign V627577 = V043628 - 1. assign V660503 = V680016. assign V791517 = V886269 - 1. assign V416516 = V761074 - 1. assign V808814 = V127369 - 1. assign V519688 = V212484 + 1. assign V627749 = V848165 + 1. assign V709996 = V561879 + 1. assign V107999 = V953422 + 1. assign V687167 = V241439 + 1. assign V544058 = V277514 - 1. assign V687783 = V921402. assign V631148 = V777854 + 1. assign V483554 = V755879. assign V151216 = V542681 + 1. assign V329514 = V824610 - 1. assign V482307 = V921402 + 1. assign V886269 = V138762 + 1. assign V026838 = V440883 + 1. assign V144612 = V331601. assign V596810 = V062363. assign V262348 = V417076 - 1. assign V687171 = V489842. assign V069176 = V488131 + 1. assign V646496 = V241439 - 1. assign V916136 = V023062. assign V741587 = V945689 - 1. assign V104234 = V295678. assign V639047 = V203501 + 1. assign V735494 = V997131. assign V540005 = V840525. assign V043628 = V015756 + 1. assign V282661 = V582340. assign V542681 = V192855 - 1. assign V759936 = V941889 + 1. assign V742930 = V489842 + 1. assign V580171 = V033766 - 1. assign V290834 = V711773. assign V379018 = V542681 + 1. assign V212484 = V974086. assign V390819 = V872751. assign V632071 = V594586. assign V088916 = V710393 + 1. assign V284430 = V331724 + 1. assign V193559 = V331724 + 1. assign V480409 = V766144 + 1. assign V367549 = V277514. assign V471243 = V489842 + 1. assign V879957 = V010041 + 1. assign V841437 = V175022 + 1. assign V688528 = V602354 + 1. assign V762129 = V886332 - 1. assign V899995 = V602354. assign V525890 = V741587 - 1. assign V774691 = V480409. assign V378762 = V440883. assign V879959 = V239845. assign V141603 = V173942 + 1. assign V817083 = V192855 + 1. assign V997159 = V471243. assign V561879 = V803196. assign V922260 = V766144 - 1. assign V181958 = V119786 + 1. assign V248779 = V136749 - 1. assign V458524 = V818568 + 1. assign V316279 = V687171. assign V127369 = V656559 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V887186 = V471243. assign V692389 = V123711. assign V541956 = V041309 + 1. assign V277514 = V597687 - 1. assign V440883 = V295678. assign V930160 = V088916 - 1. assign V538037 = V969547 - 1. assign V324000 = V520129. assign V465002 = V903094 + 1. assign V008950 = V463995 + 1. assign V650340 = V951005 - 1. assign V034049 = V721093 - 1. assign V029800 = V451177 - 1. assign V886332 = V945689 + 1. assign V862965 = V680016. assign V703566 = V886332. assign V614902 = V103597 - 1. assign V349241 = V837337 - 1. assign V704012 = V561879 + 1. assign V423123 = V407756 - 1. assign V451177 = V656559 + 1. assign V295678 = V542681 + 1. assign V226098 = V699257. assign V951005 = V766144 + 1. assign V699257 = V824610. assign V692966 = V331601 + 1. assign V853078 = V544058 + 1. assign V904159 = V740635 - 1. assign V861051 = 2. assign V138762 = V945689 + 1. assign V777854 = V943178 - 1. assign V680047 = V812121. assign V556931 = V837337 + 1. assign V873826 = V386543. assign V998700 = V192855 + 1. assign V031246 = V597687 - 1. assign V766144 = V203501 + 1. assign V860564 = V244210 - 1. assign V010041 = V687171 + 1. assign V961015 = V175022 - 1. assign V880486 = V660503 - 1. assign V964257 = V015756 - 1. assign V119786 = V295678 + 1. assign V768106 = V253015 + 1. assign V081306 = V448198 - 1. assign V106519 = V711773. assign V903094 = V861051 - 1. assign V943178 = V680016 - 1. assign V928284 = V525890 + 1. assign V045247 = V687171 + 1. assign V657064 = V807822 + 1. assign V346434 = V733596 + 1. assign V694603 = V873826. assign V424604 = V768106 - 1. assign V825022 = V692966. assign V003860 = V812121. assign V175022 = V103597 + 1. assign V424399 = V252385 - 1. assign V612929 = V003860 - 1. assign V103597 = V544058 + 1. assign V603155 = V330452. assign V677727 = V330452. assign V643317 = V879038 + 1. assign V792686 = V687171 + 1. assign V021472 = V284430 + 1. assign V123711 = V322192 + 1. assign V448198 = V386543. assign V514696 = V386543. assign V561116 = V277514. assign V465407 = V660503. assign V084110 = V687171 - 1. assign V337942 = V127369 - 1. assign V711773 = V943178 + 1. assign V693299 = V349630 - 1. assign V342959 = V193712 + 1. assign V268343 = V045247. assign V075560 = V244210 - 1. assign V784613 = V123711 - 1. assign V879038 = V777854 - 1. assign V157981 = V239845 - 1. assign V861174 = V740635 - 1. assign V135560 = V410092 + 1. assign V349630 = V882486 + 1. assign V775275 = V703566. assign V392933 = V886269 + 1. assign V816165 = V243599. assign V715197 = V837337 - 1. assign V680016 = V239372. assign V424488 = V792686 - 1. assign V236515 = V886332. assign V716648 = V561116 + 1. assign V286457 = V208891 - 1. assign V331724 = V311686. assign V417076 = V252385 - 1. assign V203501 = V489842. assign V889680 = V335421. assign V874780 = V203501 + 1. assign V461633 = V329514 + 1. assign V371585 = V263258. assign V159082 = V709996 - 1. assign V480382 = V236515 - 1. assign V118310 = V311686. assign V812121 = V951005 + 1. assign V629725 = V075560. assign V945689 = V687783 - 1. assign V824610 = V597687 + 1. assign V739304 = V580171. assign V807822 = V424604 - 1. assign V983399 = V501789 - 1. assign V484831 = V410092 + 1. assign V632547 = V837517 - 1. assign V542114 = V290834 + 1. assign V361107 = V026838 - 1. assign V858580 = V349241 + 1. assign V736222 = V136749 + 1. assign V733018 = V710393 + 1. assign V252385 = V127369. assign V717179 = V277514. assign V192855 = V489842 + 1. assign V156300 = V295678 - 1. assign V488131 = V239372 + 1. assign V313237 = V816165 - 1. assign V239372 = V119843 - 1. assign V957303 = V983399 - 1. assign V969547 = V322192 - 1. assign V623900 = V544058. assign V505244 = V768106. assign V122806 = V460484 - 1. assign V185716 = V632547. assign V504243 = V848165 - 1. assign V803196 = V103597. assign V941889 = V119843. assign V529757 = V834547 - 1. assign V365868 = V580171. assign V716810 = V484831 - 1. assign V979340 = V582340. assign V740635 = V699257 + 1. assign V974086 = V687171 - 1. assign V410092 = V656559. assign V729375 = V349241. assign V855705 = V938932 - 1. assign V926095 = V873826 + 1. assign V567869 = V704012 - 1. assign V846308 = V062363. assign V393139 = V580171 + 1. assign V564740 = V561116. assign V388388 = V295678. assign V979659 = V974086 - 1. assign V848165 = V349630 + 1. assign V837337 = V417076 + 1. assign V834547 = V602354 - 1. assign V079191 = V043628 + 1. assign V253015 = V239845. assign V062363 = V489842 - 1. assign V241181 = V424399 + 1. assign V590298 = V792686 + 1. assign V463995 = V755879 - 1. assign V590647 = V717578 - 1. assign V514119 = V119843. assign V193712 = V488131. assign V733596 = V803196 - 1. assign V840525 = V938932 + 1. assign V150628 = V460484. assign V258538 = V951005. assign V146920 = V775275. assign V436178 = V520129 + 1. assign V386543 = V192855 + 1. assign V594586 = V203501 - 1. assign V173942 = V768106 - 1. assign V582340 = V861051. assign V717578 = V136749. assign V518160 = V058628. assign V903078 = V239372. assign V058628 = V998700 + 1. assign V142230 = V766144 + 1. assign V789328 = V964257 + 1. assign V679818 = V058628 - 1. assign V109943 = V979659 + 1. assign V583336 = V226098 + 1. assign V322192 = V203501 - 1. assign V522059 = V482307. assign V241439 = V388388 + 1. assign V973203 = V632071 - 1. assign V238928 = V379018 - 1. assign V423486 = V118310 + 1. assign V119843 = V203501. assign V015756 = V424604. assign V323827 = V768106. assign V875237 = V824610. assign V757278 = V404916 - 1. assign V333089 = V538037 - 1. assign V378543 = V104234 + 1. assign V656559 = V295678 + 1. assign V953422 = V542681 + 1. assign V744777 = V792686 + 1. assign V940493 = V378543 + 1. assign V278777 = V812121 - 1. assign V522402 = V677833 - 1. assign V042011 = V808814. assign V239845 = V687171 - 1. assign V643848 = V448198 - 1. assign V460484 = V874780. assign V244210 = V241439. assign V404916 = V239845 + 1. assign V743400 = V872751 - 1. assign V916419 = V597687. assign V583205 = V816165 + 1. assign V761074 = V808814. assign V803650 = V687171 - 1. assign V818568 = V777854 - 1. assign V136749 = V277514 - 1. assign V751289 = V151216. assign V693679 = V953422 + 1. assign V727193 = V680016 - 1. assign V002253 = V239845. assign V591207 = V243599 - 1. assign V837517 = V361107 - 1. assign V183321 = V151216 + 1. assign V096457 = V042011 - 1. assign V922312 = V127369. assign V311686 = V879959 + 1. assign V736167 = V331724. assign V407756 = V591207 - 1. assign V597687 = V192855 + 1. assign V591277 = V185981 + 1. assign V677833 = V424488 - 1. assign V647802 = V775275 - 1. assign V243599 = V656559 - 1. assign V427017 = V766144. assign V185981 = V880486. assign V368092 = V903094 + 1. assign V546385 = V837517 - 1. assign V938932 = V879959 + 1. assign V268546 = V388388. assign V331601 = V252385 - 1. assign V755879 = V239845. assign V710393 = V544058. assign V520129 = V079191. assign V879602 = V561116 + 1. assign V715844 = V404916. assign V215542 = V740635 + 1. assign V664960 = V824610 - 1. assign V921402 = V768106 + 1. assign V023062 = V451177 + 1. assign V263258 = V451177 + 1. assign V617928 = V043628 - 1. assign V501789 = V768106 - 1. assign V721093 = V762129. assign V943012 = V873826 - 1. assign V789964 = V660503 + 1. assign V583434 = V969469. assign V997131 = V239372 - 1. assign V462591 = V879602 + 1. assign V190301 = V631148. assign V906529 = V561879 - 1. assign V041309 = V252385. assign V466479 = V021472 + 1. assign V331995 = V282661. assign V626001 = V807822 + 1. assign V056251 = V872751 - 1. assign V872751 = V594586 + 1. assign V713895 = V755879 - 1. assign V969469 = V861051 - 1. assign V054905 = V378543. assign V507293 = V062363 - 1. assign V096917 = V875237 + 1. assign V033766 = V119786 - 1. assign V570957 = V015756 - 1. assign V982734 = V103597 + 1. assign V335421 = V715197 - 1. assign V208891 = V699257. assign V172825 = V597687 - 1. assign V932406 = V716810 - 1. assign V566937 = V739304. assign V035110 = V679818. assign V227445 = V042011 - 1. assign V330452 = V808814 + 1. assign V602354 = V054905. assign V882486 = V322192. assign V846429 = V687171. assign V132872 = V410092 + 1. assign V834911 = V617928 + 1. assign V066899 = V096457 + 1. assign V719383 = V156300. assign V627577 = V043628 - 1. assign V660503 = V680016. assign V791517 = V886269 - 1. assign V416516 = V761074 - 1. assign V808814 = V127369 - 1. assign V519688 = V212484 + 1. assign V627749 = V848165 + 1. assign V709996 = V561879 + 1. assign V107999 = V953422 + 1. assign V687167 = V241439 + 1. assign V544058 = V277514 - 1. assign V687783 = V921402. assign V631148 = V777854 + 1. assign V483554 = V755879. assign V151216 = V542681 + 1. assign V329514 = V824610 - 1. assign V482307 = V921402 + 1. assign V886269 = V138762 + 1. assign V026838 = V440883 + 1. assign V144612 = V331601. assign V596810 = V062363. assign V262348 = V417076 - 1. assign V687171 = V489842. assign V069176 = V488131 + 1. assign V646496 = V241439 - 1. assign V916136 = V023062. assign V741587 = V945689 - 1. assign V104234 = V295678. assign V639047 = V203501 + 1. assign V735494 = V997131. assign V540005 = V840525. assign V043628 = V015756 + 1. assign V282661 = V582340. assign V542681 = V192855 - 1. assign V759936 = V941889 + 1. assign V742930 = V489842 + 1. assign V580171 = V033766 - 1. assign V290834 = V711773. assign V379018 = V542681 + 1. assign V212484 = V974086. assign V390819 = V872751. assign V632071 = V594586. assign V088916 = V710393 + 1. assign V284430 = V331724 + 1. assign V193559 = V331724 + 1. assign V480409 = V766144 + 1. assign V367549 = V277514. assign V471243 = V489842 + 1. assign V879957 = V010041 + 1. assign V841437 = V175022 + 1. assign V688528 = V602354 + 1. assign V762129 = V886332 - 1. assign V899995 = V602354. assign V525890 = V741587 - 1. assign V774691 = V480409. assign V378762 = V440883. assign V879959 = V239845. assign V141603 = V173942 + 1. assign V817083 = V192855 + 1. assign V997159 = V471243. assign V561879 = V803196. assign V922260 = V766144 - 1. assign V181958 = V119786 + 1. assign V248779 = V136749 - 1. assign V458524 = V818568 + 1. assign V316279 = V687171. assign V127369 = V656559 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV861051 = 2;\n\nFrom these direct assignment(s), we have: \nV969469 = V861051 - 1 = 2 - 1 =1;\nV583434 = V969469 = 1;\nNo other varaibles can be derived from V583434;\nNo other varaibles can be derived from V969469;\nV582340 = V861051 = 2;\nV282661 = V582340 = 2;\nV331995 = V282661 = 2;\nNo other varaibles can be derived from V331995;\nNo other varaibles can be derived from V282661;\nV979340 = V582340 = 2;\nNo other varaibles can be derived from V979340;\nNo other varaibles can be derived from V582340;\nV903094 = V861051 - 1 = 2 - 1 =1;\nV368092 = V903094 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V368092;\nV465002 = V903094 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V465002;\nNo other varaibles can be derived from V903094;\nNo other varaibles can be derived from V861051;\n\nNow we have done all the calculations. Derived variables are:\nV861051 = 2;\nV969469 = 1;\nV583434 = 1;\nV582340 = 2;\nV282661 = 2;\nV331995 = 2;\nV979340 = 2;\nV903094 = 1;\nV368092 = 2;\nV465002 = 2;\n\nNow we have finished this problem. ANSWER:\nV969469, V583434, V903094\n", "role": "assistant" } ]

[ "V724467", "V343257" ]

[ { "content": "<context>\nassign V745378 = V716660 - 1. assign V063312 = V348339. assign V998578 = V292187 + 1. assign V533908 = V866235 + 1. assign V906763 = V453655 - 1. assign V716660 = V558943 - 1. assign V593044 = V388405 - 1. assign V896941 = V348339 - 1. assign V348339 = V375343. assign V607745 = V196026. assign V388405 = V723485 + 1. assign V162789 = V753000 + 1. assign V996981 = V185043. assign V489394 = V301541 + 1. assign V343257 = V398260 + 1. assign V175230 = V089019. assign V830498 = V301541 - 1. assign V182341 = V270009 + 1. assign V181471 = V562566 + 1. assign V528710 = V043087 - 1. assign V892780 = V481702 + 1. assign V752103 = V593044 - 1. assign V337302 = V638754 + 1. assign V148058 = V549282 - 1. assign V544590 = V569106 + 1. assign V606908 = V830891 + 1. assign V753109 = V481745 + 1. assign V400453 = V574460 + 1. assign V734402 = V565079 - 1. assign V549282 = V569106 - 1. assign V139978 = V134999 - 1. assign V391711 = V898803. assign V362326 = V811283 + 1. assign V284251 = V533908 + 1. assign V533940 = V804616. assign V979257 = V992714 + 1. assign V598997 = V339439 - 1. assign V735619 = V731896. assign V421044 = V820248 + 1. assign V655246 = V892780 - 1. assign V856316 = V943784. assign V941380 = V292187 + 1. assign V134999 = V056313 - 1. assign V209511 = V385647. assign V379511 = V117056. assign V104399 = V796129 - 1. assign V660127 = V458862 - 1. assign V359009 = V871993 - 1. assign V810860 = V977708 - 1. assign V364389 = V724362 + 1. assign V651832 = V699710. assign V857129 = V614125 - 1. assign V992714 = V866235 + 1. assign V454270 = V301539 - 1. assign V248236 = V399925 - 1. assign V792022 = V304852 - 1. assign V489389 = V442939. assign V703745 = V587224. assign V292187 = V286222 + 1. assign V481702 = V699710. assign V424214 = V558161 - 1. assign V836234 = V056313 + 1. assign V372897 = V307919 - 1. assign V786058 = V760872 - 1. assign V861802 = V716660. assign V977708 = V116271 - 1. assign V743200 = V630355. assign V835289 = V731727 - 1. assign V562566 = V764633. assign V472777 = V385647. assign V610971 = V348339 + 1. assign V680705 = V820248 + 1. assign V296727 = V162300 + 1. assign V799256 = V488858 + 1. assign V648799 = V820248 - 1. assign V898803 = V185043. assign V501927 = V804616 - 1. assign V969897 = V562566 + 1. assign V153645 = V630355 - 1. assign V630355 = V002563 + 1. assign V270053 = V466989 + 1. assign V462258 = V630355 + 1. assign V089019 = V699710 - 1. assign V431488 = V490353. assign V894444 = V922532 - 1. assign V162300 = V002563. assign V625425 = V723485 + 1. assign V772549 = V871993 + 1. assign V943784 = V772549 - 1. assign V569106 = V398260 - 1. assign V116271 = V284251 - 1. assign V610319 = V339439 - 1. assign V860555 = V764633 + 1. assign V384504 = V592043 - 1. assign V453959 = V244047 - 1. assign V416090 = V442939 - 1. assign V592043 = V866235 + 1. assign V703719 = V519445 - 1. assign V301539 = V772549 + 1. assign V692658 = V969131 + 1. assign V636649 = V565079 + 1. assign V774658 = V339439 + 1. assign V750050 = V820248. assign V594819 = V592043. assign V488400 = V511643. assign V301974 = V922532 + 1. assign V196026 = V743200 + 1. assign V426505 = V397629. assign V219851 = V421044 + 1. assign V820248 = V162300 - 1. assign V363162 = V651832 + 1. assign V024951 = 4. assign V340514 = V898803. assign V830891 = V040071. assign V185043 = V204025. assign V040071 = V262173 - 1. assign V866235 = V023693 + 1. assign V184520 = V600075. assign V194019 = V421044 + 1. assign V505427 = V049785 + 1. assign V399608 = V182341 - 1. assign V486896 = V043087 - 1. assign V697446 = V655246. assign V075484 = V898803 - 1. assign V770992 = V431488 + 1. assign V109428 = V743200. assign V421791 = V196026 - 1. assign V186777 = V549282 - 1. assign V364645 = V219851 + 1. assign V950366 = V760872 + 1. assign V731896 = V726095 - 1. assign V294700 = V099976 - 1. assign V539696 = V399925 + 1. assign V664148 = V002563 - 1. assign V453749 = V453959. assign V492484 = V348339. assign V117056 = V732584 - 1. assign V262173 = V023693. assign V519445 = V023693 - 1. assign V512398 = V835289 - 1. assign V789367 = V726095 + 1. assign V723903 = V397629 + 1. assign V664436 = V714802. assign V629193 = V592043. assign V720718 = V116271. assign V230524 = V753109 - 1. assign V428360 = V600075. assign V752677 = V262173 + 1. assign V531992 = V395877 - 1. assign V544302 = V562370 - 1. assign V439222 = V243721. assign V112213 = V977708. assign V723789 = V153645 + 1. assign V708715 = V337302 - 1. assign V746717 = V100139 + 1. assign V511643 = V395836. assign V983491 = V544590. assign V050706 = V723485. assign V714802 = V024143 + 1. assign V315636 = V304852. assign V555180 = V697446 - 1. assign V481745 = V399925 - 1. assign V467033 = V039238 + 1. assign V125839 = V734402 + 1. assign V453655 = V023693 - 1. assign V337704 = V922532 + 1. assign V565079 = V075484 + 1. assign V574460 = V458862 + 1. assign V259785 = V898803 + 1. assign V328911 = V625425 + 1. assign V685166 = V056313. assign V109328 = V397443 - 1. assign V765532 = V920606. assign V558161 = V490353 + 1. assign V583428 = V826613 + 1. assign V937176 = V898803 - 1. assign V726095 = V707571. assign V201352 = V593044 + 1. assign V731727 = V625425. assign V290766 = V399925 - 1. assign V331255 = V731896 - 1. assign V703385 = V385647 + 1. assign V633842 = V137990. assign V399925 = V089019. assign V708783 = V409595 + 1. assign V244047 = V707571 - 1. assign V776414 = V453655 + 1. assign V796129 = V621307 - 1. assign V049785 = V417063 + 1. assign V760872 = V504314 + 1. assign V397443 = V732584. assign V543057 = V566815 + 1. assign V488858 = V204025. assign V863577 = V490353 + 1. assign V841334 = V836234 - 1. assign V395877 = V238056 - 1. assign V286222 = V185043 + 1. assign V634955 = V428360 - 1. assign V650462 = V670210. assign V099976 = V783702 + 1. assign V395836 = V288682 + 1. assign V238056 = V519445 + 1. assign V301541 = V002563 + 1. assign V969583 = V284251 + 1. assign V312842 = V397443 - 1. assign V783702 = V504314 + 1. assign V265791 = V237307 + 1. assign V356544 = V898803. assign V682518 = V039238 + 1. assign V605299 = V703719. assign V683502 = V878443. assign V562370 = V697446 - 1. assign V404120 = V219851 + 1. assign V670210 = V409595 + 1. assign V566815 = V421044 + 1. assign V191706 = V972641 - 1. assign V728748 = V760872. assign V713804 = V826613 + 1. assign V531335 = V651832 + 1. assign V598586 = V296727 + 1. assign V127273 = V614125. assign V920606 = V566815 - 1. assign V326594 = V252238 + 1. assign V621307 = V866235. assign V458862 = V624778 - 1. assign V871993 = V804616 - 1. assign V375343 = V772549 + 1. assign V654168 = V375343 + 1. assign V589721 = V836234 - 1. assign V339439 = V288682 - 1. assign V304852 = V533908 + 1. assign V587224 = V238056. assign V959802 = V385647 + 1. assign V203058 = V404120. assign V751621 = V252238 + 1. assign V614125 = V697446. assign V413323 = V598586 + 1. assign V764633 = V592043. assign V724362 = V409595. assign V374534 = V910613. assign V409595 = V296727 - 1. assign V498191 = V301974 - 1. assign V924999 = V531992 + 1. assign V600075 = V699710. assign V826613 = V866235. assign V592462 = V304852 - 1. assign V699710 = V002563 + 1. assign V335463 = V991910 + 1. assign V286278 = V804616 - 1. assign V897529 = V969131. assign V723485 = V533908 + 1. assign V978812 = V356544. assign V833021 = V731896 - 1. assign V399828 = V335463. assign V056313 = V023693 + 1. assign V385647 = V481702 + 1. assign V732584 = V363162 - 1. assign V409237 = V624146. assign V307919 = V587224. assign V724467 = V024951 + 1. assign V004361 = V262173 - 1. assign V354765 = V911978 + 1. assign V252238 = V043087 - 1. assign V930437 = V297581. assign V239865 = V203058. assign V150833 = V535689 - 1. assign V991910 = V058010 + 1. assign V223242 = V969131 - 1. assign V490353 = V707571. assign V195632 = V486896 - 1. assign V911978 = V763913 + 1. assign V178036 = V699710 - 1. assign V699441 = V969131 + 1. assign V707571 = V039238 + 1. assign V847161 = V512398 - 1. assign V297581 = V566815. assign V271586 = V417063 - 1. assign V824265 = V442939 + 1. assign V288682 = V409595. assign V079369 = V153645 - 1. assign V629939 = V598997 + 1. assign V638733 = V969897 - 1. assign V958500 = V399925 + 1. assign V504314 = V699710 - 1. assign V892696 = V763913. assign V857874 = V852544 + 1. assign V535689 = V894444 + 1. assign V972164 = V504314 + 1. assign V402301 = V624778. assign V417063 = V826613 + 1. assign V694910 = V878443 - 1. assign V889639 = V409595 + 1. assign V734147 = V649309 + 1. assign V039238 = V421044 - 1. assign V398260 = V024951. assign V763913 = V726095 + 1. assign V970652 = V043087 + 1. assign V876684 = V716660 + 1. assign V466989 = V734402 - 1. assign V270009 = V723485 - 1. assign V668217 = V458862. assign V878443 = V820248 + 1. assign V135147 = V023693. assign V653615 = V562370 - 1. assign V165433 = V426505. assign V137990 = V624778. assign V494089 = V636649 - 1. assign V558943 = V624778. assign V969131 = V348339. assign V243721 = V385647 - 1. assign V753000 = V182341. assign V910613 = V296727. assign V236774 = V682518. assign V158068 = V028158 + 1. assign V624146 = V857874 + 1. assign V398191 = V651832 - 1. assign V649309 = V196026 - 1. assign V024143 = V716660. assign V028158 = V992714 + 1. assign V596940 = V910613. assign V922532 = V811283 + 1. assign V638754 = V288682. assign V728761 = V610319 - 1. assign V624778 = V811283 + 1. assign V204025 = V481702 - 1. assign V841969 = V969583 - 1. assign V058010 = V894444 + 1. assign V094109 = V804616. assign V811283 = V002563 + 1. assign V904930 = V326594 + 1. assign V100139 = V651832. assign V972641 = V592043 - 1. assign V244639 = V723485 + 1. assign V397629 = V296727 - 1. assign V442939 = V481702 - 1. assign V536934 = V533908 - 1. assign V859891 = V301541 + 1. assign V427247 = V312842 + 1. assign V778071 = V932651 - 1. assign V497852 = V395877. assign V396587 = V348339 - 1. assign V852544 = V764633 - 1. assign V369943 = V998578. assign V237307 = V399925 + 1. assign V371025 = V932651. assign V043087 = V600075 - 1. assign V804616 = V820248. assign V378604 = V852544 - 1. assign V932651 = V972641 + 1. assign V023693 = V481702 + 1. assign V525759 = V720718 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V745378 = V716660 - 1. assign V063312 = V348339. assign V998578 = V292187 + 1. assign V533908 = V866235 + 1. assign V906763 = V453655 - 1. assign V716660 = V558943 - 1. assign V593044 = V388405 - 1. assign V896941 = V348339 - 1. assign V348339 = V375343. assign V607745 = V196026. assign V388405 = V723485 + 1. assign V162789 = V753000 + 1. assign V996981 = V185043. assign V489394 = V301541 + 1. assign V343257 = V398260 + 1. assign V175230 = V089019. assign V830498 = V301541 - 1. assign V182341 = V270009 + 1. assign V181471 = V562566 + 1. assign V528710 = V043087 - 1. assign V892780 = V481702 + 1. assign V752103 = V593044 - 1. assign V337302 = V638754 + 1. assign V148058 = V549282 - 1. assign V544590 = V569106 + 1. assign V606908 = V830891 + 1. assign V753109 = V481745 + 1. assign V400453 = V574460 + 1. assign V734402 = V565079 - 1. assign V549282 = V569106 - 1. assign V139978 = V134999 - 1. assign V391711 = V898803. assign V362326 = V811283 + 1. assign V284251 = V533908 + 1. assign V533940 = V804616. assign V979257 = V992714 + 1. assign V598997 = V339439 - 1. assign V735619 = V731896. assign V421044 = V820248 + 1. assign V655246 = V892780 - 1. assign V856316 = V943784. assign V941380 = V292187 + 1. assign V134999 = V056313 - 1. assign V209511 = V385647. assign V379511 = V117056. assign V104399 = V796129 - 1. assign V660127 = V458862 - 1. assign V359009 = V871993 - 1. assign V810860 = V977708 - 1. assign V364389 = V724362 + 1. assign V651832 = V699710. assign V857129 = V614125 - 1. assign V992714 = V866235 + 1. assign V454270 = V301539 - 1. assign V248236 = V399925 - 1. assign V792022 = V304852 - 1. assign V489389 = V442939. assign V703745 = V587224. assign V292187 = V286222 + 1. assign V481702 = V699710. assign V424214 = V558161 - 1. assign V836234 = V056313 + 1. assign V372897 = V307919 - 1. assign V786058 = V760872 - 1. assign V861802 = V716660. assign V977708 = V116271 - 1. assign V743200 = V630355. assign V835289 = V731727 - 1. assign V562566 = V764633. assign V472777 = V385647. assign V610971 = V348339 + 1. assign V680705 = V820248 + 1. assign V296727 = V162300 + 1. assign V799256 = V488858 + 1. assign V648799 = V820248 - 1. assign V898803 = V185043. assign V501927 = V804616 - 1. assign V969897 = V562566 + 1. assign V153645 = V630355 - 1. assign V630355 = V002563 + 1. assign V270053 = V466989 + 1. assign V462258 = V630355 + 1. assign V089019 = V699710 - 1. assign V431488 = V490353. assign V894444 = V922532 - 1. assign V162300 = V002563. assign V625425 = V723485 + 1. assign V772549 = V871993 + 1. assign V943784 = V772549 - 1. assign V569106 = V398260 - 1. assign V116271 = V284251 - 1. assign V610319 = V339439 - 1. assign V860555 = V764633 + 1. assign V384504 = V592043 - 1. assign V453959 = V244047 - 1. assign V416090 = V442939 - 1. assign V592043 = V866235 + 1. assign V703719 = V519445 - 1. assign V301539 = V772549 + 1. assign V692658 = V969131 + 1. assign V636649 = V565079 + 1. assign V774658 = V339439 + 1. assign V750050 = V820248. assign V594819 = V592043. assign V488400 = V511643. assign V301974 = V922532 + 1. assign V196026 = V743200 + 1. assign V426505 = V397629. assign V219851 = V421044 + 1. assign V820248 = V162300 - 1. assign V363162 = V651832 + 1. assign V024951 = 4. assign V340514 = V898803. assign V830891 = V040071. assign V185043 = V204025. assign V040071 = V262173 - 1. assign V866235 = V023693 + 1. assign V184520 = V600075. assign V194019 = V421044 + 1. assign V505427 = V049785 + 1. assign V399608 = V182341 - 1. assign V486896 = V043087 - 1. assign V697446 = V655246. assign V075484 = V898803 - 1. assign V770992 = V431488 + 1. assign V109428 = V743200. assign V421791 = V196026 - 1. assign V186777 = V549282 - 1. assign V364645 = V219851 + 1. assign V950366 = V760872 + 1. assign V731896 = V726095 - 1. assign V294700 = V099976 - 1. assign V539696 = V399925 + 1. assign V664148 = V002563 - 1. assign V453749 = V453959. assign V492484 = V348339. assign V117056 = V732584 - 1. assign V262173 = V023693. assign V519445 = V023693 - 1. assign V512398 = V835289 - 1. assign V789367 = V726095 + 1. assign V723903 = V397629 + 1. assign V664436 = V714802. assign V629193 = V592043. assign V720718 = V116271. assign V230524 = V753109 - 1. assign V428360 = V600075. assign V752677 = V262173 + 1. assign V531992 = V395877 - 1. assign V544302 = V562370 - 1. assign V439222 = V243721. assign V112213 = V977708. assign V723789 = V153645 + 1. assign V708715 = V337302 - 1. assign V746717 = V100139 + 1. assign V511643 = V395836. assign V983491 = V544590. assign V050706 = V723485. assign V714802 = V024143 + 1. assign V315636 = V304852. assign V555180 = V697446 - 1. assign V481745 = V399925 - 1. assign V467033 = V039238 + 1. assign V125839 = V734402 + 1. assign V453655 = V023693 - 1. assign V337704 = V922532 + 1. assign V565079 = V075484 + 1. assign V574460 = V458862 + 1. assign V259785 = V898803 + 1. assign V328911 = V625425 + 1. assign V685166 = V056313. assign V109328 = V397443 - 1. assign V765532 = V920606. assign V558161 = V490353 + 1. assign V583428 = V826613 + 1. assign V937176 = V898803 - 1. assign V726095 = V707571. assign V201352 = V593044 + 1. assign V731727 = V625425. assign V290766 = V399925 - 1. assign V331255 = V731896 - 1. assign V703385 = V385647 + 1. assign V633842 = V137990. assign V399925 = V089019. assign V708783 = V409595 + 1. assign V244047 = V707571 - 1. assign V776414 = V453655 + 1. assign V796129 = V621307 - 1. assign V049785 = V417063 + 1. assign V760872 = V504314 + 1. assign V397443 = V732584. assign V543057 = V566815 + 1. assign V488858 = V204025. assign V863577 = V490353 + 1. assign V841334 = V836234 - 1. assign V395877 = V238056 - 1. assign V286222 = V185043 + 1. assign V634955 = V428360 - 1. assign V650462 = V670210. assign V099976 = V783702 + 1. assign V395836 = V288682 + 1. assign V238056 = V519445 + 1. assign V301541 = V002563 + 1. assign V969583 = V284251 + 1. assign V312842 = V397443 - 1. assign V783702 = V504314 + 1. assign V265791 = V237307 + 1. assign V356544 = V898803. assign V682518 = V039238 + 1. assign V605299 = V703719. assign V683502 = V878443. assign V562370 = V697446 - 1. assign V404120 = V219851 + 1. assign V670210 = V409595 + 1. assign V566815 = V421044 + 1. assign V191706 = V972641 - 1. assign V728748 = V760872. assign V713804 = V826613 + 1. assign V531335 = V651832 + 1. assign V598586 = V296727 + 1. assign V127273 = V614125. assign V920606 = V566815 - 1. assign V326594 = V252238 + 1. assign V621307 = V866235. assign V458862 = V624778 - 1. assign V871993 = V804616 - 1. assign V375343 = V772549 + 1. assign V654168 = V375343 + 1. assign V589721 = V836234 - 1. assign V339439 = V288682 - 1. assign V304852 = V533908 + 1. assign V587224 = V238056. assign V959802 = V385647 + 1. assign V203058 = V404120. assign V751621 = V252238 + 1. assign V614125 = V697446. assign V413323 = V598586 + 1. assign V764633 = V592043. assign V724362 = V409595. assign V374534 = V910613. assign V409595 = V296727 - 1. assign V498191 = V301974 - 1. assign V924999 = V531992 + 1. assign V600075 = V699710. assign V826613 = V866235. assign V592462 = V304852 - 1. assign V699710 = V002563 + 1. assign V335463 = V991910 + 1. assign V286278 = V804616 - 1. assign V897529 = V969131. assign V723485 = V533908 + 1. assign V978812 = V356544. assign V833021 = V731896 - 1. assign V399828 = V335463. assign V056313 = V023693 + 1. assign V385647 = V481702 + 1. assign V732584 = V363162 - 1. assign V409237 = V624146. assign V307919 = V587224. assign V724467 = V024951 + 1. assign V004361 = V262173 - 1. assign V354765 = V911978 + 1. assign V252238 = V043087 - 1. assign V930437 = V297581. assign V239865 = V203058. assign V150833 = V535689 - 1. assign V991910 = V058010 + 1. assign V223242 = V969131 - 1. assign V490353 = V707571. assign V195632 = V486896 - 1. assign V911978 = V763913 + 1. assign V178036 = V699710 - 1. assign V699441 = V969131 + 1. assign V707571 = V039238 + 1. assign V847161 = V512398 - 1. assign V297581 = V566815. assign V271586 = V417063 - 1. assign V824265 = V442939 + 1. assign V288682 = V409595. assign V079369 = V153645 - 1. assign V629939 = V598997 + 1. assign V638733 = V969897 - 1. assign V958500 = V399925 + 1. assign V504314 = V699710 - 1. assign V892696 = V763913. assign V857874 = V852544 + 1. assign V535689 = V894444 + 1. assign V972164 = V504314 + 1. assign V402301 = V624778. assign V417063 = V826613 + 1. assign V694910 = V878443 - 1. assign V889639 = V409595 + 1. assign V734147 = V649309 + 1. assign V039238 = V421044 - 1. assign V398260 = V024951. assign V763913 = V726095 + 1. assign V970652 = V043087 + 1. assign V876684 = V716660 + 1. assign V466989 = V734402 - 1. assign V270009 = V723485 - 1. assign V668217 = V458862. assign V878443 = V820248 + 1. assign V135147 = V023693. assign V653615 = V562370 - 1. assign V165433 = V426505. assign V137990 = V624778. assign V494089 = V636649 - 1. assign V558943 = V624778. assign V969131 = V348339. assign V243721 = V385647 - 1. assign V753000 = V182341. assign V910613 = V296727. assign V236774 = V682518. assign V158068 = V028158 + 1. assign V624146 = V857874 + 1. assign V398191 = V651832 - 1. assign V649309 = V196026 - 1. assign V024143 = V716660. assign V028158 = V992714 + 1. assign V596940 = V910613. assign V922532 = V811283 + 1. assign V638754 = V288682. assign V728761 = V610319 - 1. assign V624778 = V811283 + 1. assign V204025 = V481702 - 1. assign V841969 = V969583 - 1. assign V058010 = V894444 + 1. assign V094109 = V804616. assign V811283 = V002563 + 1. assign V904930 = V326594 + 1. assign V100139 = V651832. assign V972641 = V592043 - 1. assign V244639 = V723485 + 1. assign V397629 = V296727 - 1. assign V442939 = V481702 - 1. assign V536934 = V533908 - 1. assign V859891 = V301541 + 1. assign V427247 = V312842 + 1. assign V778071 = V932651 - 1. assign V497852 = V395877. assign V396587 = V348339 - 1. assign V852544 = V764633 - 1. assign V369943 = V998578. assign V237307 = V399925 + 1. assign V371025 = V932651. assign V043087 = V600075 - 1. assign V804616 = V820248. assign V378604 = V852544 - 1. assign V932651 = V972641 + 1. assign V023693 = V481702 + 1. assign V525759 = V720718 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV024951 = 4;\n\nFrom these direct assignment(s), we have: \nV398260 = V024951 = 4;\nV569106 = V398260 - 1 = 4 - 1 =3;\nV549282 = V569106 - 1 = 3 - 1 =2;\nV186777 = V549282 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V186777;\nV148058 = V549282 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V148058;\nNo other varaibles can be derived from V549282;\nV544590 = V569106 + 1 = 3 + 1 =4;\nV983491 = V544590 = 4;\nNo other varaibles can be derived from V983491;\nNo other varaibles can be derived from V544590;\nNo other varaibles can be derived from V569106;\nV343257 = V398260 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V343257;\nNo other varaibles can be derived from V398260;\nV724467 = V024951 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V724467;\nNo other varaibles can be derived from V024951;\n\nNow we have done all the calculations. Derived variables are:\nV024951 = 4;\nV398260 = 4;\nV569106 = 3;\nV549282 = 2;\nV186777 = 1;\nV148058 = 1;\nV544590 = 4;\nV983491 = 4;\nV343257 = 5;\nV724467 = 5;\n\nNow we have finished this problem. ANSWER:\nV343257, V724467\n", "role": "assistant" } ]

[ "V566749", "V809898", "V046143", "V660987", "V533621", "V560381" ]

[ { "content": "<context>\nassign V957054 = V755692 + 1. assign V904744 = V360296 + 1. assign V767241 = V692004. assign V728477 = V635555 + 1. assign V502181 = V760660 - 1. assign V906292 = V529828 - 1. assign V760660 = V180338. assign V095106 = V145144. assign V766954 = V218874 - 1. assign V997102 = V933434 - 1. assign V999276 = V760660 + 1. assign V144540 = V474942 + 1. assign V960242 = V252972 - 1. assign V566749 = V367674 + 1. assign V266899 = V476999 - 1. assign V947720 = V375507 + 1. assign V895770 = V543717 + 1. assign V537944 = V486812 - 1. assign V885813 = V759218 + 1. assign V209341 = V338143. assign V548526 = V543717. assign V532716 = V543717. assign V221464 = V289303 + 1. assign V974175 = V008551 - 1. assign V622333 = V386215 - 1. assign V204025 = V508347 + 1. assign V375507 = V821555. assign V560381 = V566749. assign V643056 = V486871 + 1. assign V474942 = V525417 - 1. assign V893216 = V557687 - 1. assign V031951 = V256140 - 1. assign V516665 = V760660 + 1. assign V947997 = V306262 + 1. assign V548195 = V180338 - 1. assign V298436 = V794523 - 1. assign V025258 = V117930 - 1. assign V040566 = V284614 + 1. assign V478635 = V483700. assign V408754 = V639456 - 1. assign V292234 = V827913 - 1. assign V855959 = V529828 + 1. assign V460646 = V895770 + 1. assign V062902 = V951896. assign V561957 = V511830 - 1. assign V508347 = V486812 + 1. assign V543717 = V529828 - 1. assign V864337 = V306262 - 1. assign V762209 = V511830. assign V528830 = V625085. assign V709867 = V939489 + 1. assign V252972 = V412715. assign V821555 = V886837. assign V625085 = V964240 + 1. assign V458410 = V964240 + 1. assign V778775 = V130343 + 1. assign V113337 = V858117 - 1. assign V488555 = V166940 - 1. assign V559168 = V554642 - 1. assign V480605 = V182575 + 1. assign V668927 = V284614 - 1. assign V957365 = V511830 + 1. assign V724303 = V412715. assign V899122 = V705799. assign V886837 = V742713. assign V155632 = V997102 - 1. assign V034147 = V812983 + 1. assign V541772 = V328817. assign V340338 = V118504 + 1. assign V315467 = V375507. assign V669665 = V077585 - 1. assign V827913 = V855959 - 1. assign V587271 = V898836 - 1. assign V123560 = V172191. assign V290835 = V511613. assign V494502 = V483700 - 1. assign V819623 = V284614 - 1. assign V635555 = V871378 - 1. assign V719417 = V367401 + 1. assign V703920 = V370598 - 1. assign V087055 = V190755 + 1. assign V707009 = V298629 - 1. assign V088393 = V490630. assign V486871 = V375507. assign V964240 = V543717 - 1. assign V828527 = V476999. assign V744779 = V705799 - 1. assign V858169 = V680559 + 1. assign V402357 = V877379 + 1. assign V298629 = V529828. assign V877507 = V759852 + 1. assign V273717 = V553921 - 1. assign V832056 = V717933 + 1. assign V238792 = V263907. assign V212715 = V537854 - 1. assign V166116 = V340338 + 1. assign V646900 = V315467. assign V929222 = V105149 - 1. assign V112587 = V292234 + 1. assign V186034 = V858169 + 1. assign V328817 = V166940. assign V972691 = V164614 - 1. assign V747561 = V172191 - 1. assign V500484 = V328817. assign V688114 = V904130 - 1. assign V904130 = V529828 - 1. assign V374745 = V848212 + 1. assign V715238 = V118504 + 1. assign V830573 = V767241. assign V494743 = V441358 - 1. assign V316917 = V599507 - 1. assign V144314 = V807029. assign V545670 = V370598 + 1. assign V365629 = V855959 + 1. assign V972801 = V692004 + 1. assign V647012 = V680559 - 1. assign V452968 = V649866 + 1. assign V889175 = V369625 + 1. assign V392483 = V742713 - 1. assign V598370 = V828527. assign V118504 = V989418 - 1. assign V063477 = V063550 + 1. assign V898395 = V639456. assign V778440 = V951896 - 1. assign V470012 = V254172 - 1. assign V138508 = V537854 - 1. assign V126792 = V483700 + 1. assign V454950 = V370598. assign V865112 = V812899 - 1. assign V768091 = V855936 - 1. assign V259524 = V529828 - 1. assign V736561 = V252972 + 1. assign V823544 = V529828 - 1. assign V145144 = V755692 - 1. assign V263907 = V476999 - 1. assign V680559 = V824609 - 1. assign V641015 = V680559 + 1. assign V360219 = V088393 - 1. assign V072846 = V508347 + 1. assign V809898 = V367674 + 1. assign V073975 = V267483 + 1. assign V356861 = V642518. assign V922397 = V709832 + 1. assign V932113 = V438350. assign V815450 = V760660 - 1. assign V602039 = V486812. assign V389505 = V621205 - 1. assign V299926 = V130343 - 1. assign V334388 = V858117 + 1. assign V490630 = V742713. assign V180338 = V790372 + 1. assign V553921 = V972801 - 1. assign V105149 = V102869 + 1. assign V832187 = V524100. assign V692004 = V380900 - 1. assign V433444 = V543526 - 1. assign V289303 = V682595 - 1. assign V807029 = V454950 + 1. assign V794523 = V997102 + 1. assign V478599 = V263907 - 1. assign V245899 = V180338 + 1. assign V804190 = V113337. assign V522815 = V186034 + 1. assign V682595 = V328591 + 1. assign V360296 = V566749 + 1. assign V692529 = V478635 + 1. assign V742713 = V529828. assign V212453 = V641015. assign V039602 = V692004 - 1. assign V486812 = V858117 + 1. assign V490826 = V537854. assign V749404 = V855959. assign V610406 = V031951 - 1. assign V102869 = V692004 + 1. assign V030178 = V210310 + 1. assign V386215 = V964240 - 1. assign V877379 = V529828 - 1. assign V324570 = V871378. assign V394082 = V828527 - 1. assign V675418 = V643056. assign V990860 = V913339 + 1. assign V603469 = V319467 + 1. assign V102761 = V367674 - 1. assign V563379 = V999276 + 1. assign V898836 = V821555. assign V879736 = V334388. assign V158853 = V933434 + 1. assign V771831 = V356861 - 1. assign V759852 = V102869. assign V511830 = V642518 - 1. assign V375173 = V778688 + 1. assign V254172 = V832187. assign V848388 = V172191. assign V790372 = V529828 - 1. assign V072697 = V899122. assign V053471 = V394731 - 1. assign V008551 = V999276. assign V203110 = V497686 + 1. assign V370598 = V855959 - 1. assign V046143 = V360296 - 1. assign V621205 = V545670 + 1. assign V642110 = V775679 - 1. assign V359885 = V063550 - 1. assign V327673 = V736561 + 1. assign V931852 = V031951 - 1. assign V499098 = V401660 + 1. assign V858117 = V548526 - 1. assign V951896 = V760660 - 1. assign V036819 = V848388 - 1. assign V415314 = V812983. assign V385299 = V380900 - 1. assign V521108 = V864337 + 1. assign V067711 = V895770 - 1. assign V328591 = V989418 - 1. assign V642518 = V947997. assign V396664 = V706890 + 1. assign V524100 = V486871 + 1. assign V812899 = V933434 + 1. assign V408951 = V105149 - 1. assign V345752 = V742713 - 1. assign V394731 = V180338. assign V230736 = V375507 + 1. assign V580772 = V190755 + 1. assign V871378 = V117930 - 1. assign V639456 = V529828 - 1. assign V543526 = V508347. assign V010809 = V375507. assign V114936 = V438350. assign V727636 = V643056 + 1. assign V255665 = V545670 + 1. assign V253766 = V212715 + 1. assign V248959 = V392483 - 1. assign V413933 = V095106. assign V694388 = V528361 + 1. assign V709832 = V529828 + 1. assign V676069 = V548116 + 1. assign V284614 = V370598 + 1. assign V399452 = V759852 - 1. assign V386333 = V267855 - 1. assign V825138 = V524100 + 1. assign V319467 = V386215 + 1. assign V441137 = V472107. assign V735108 = V643056 - 1. assign V876649 = V821555 - 1. assign V201033 = V284614 - 1. assign V525417 = V639456 + 1. assign V325799 = V821555. assign V172191 = V039602 - 1. assign V717933 = V557687 - 1. assign V812983 = V877379. assign V554642 = V351979 + 1. assign V210310 = V999276 + 1. assign V933434 = V824609 - 1. assign V632062 = V692529 - 1. assign V001690 = V325799 + 1. assign V314429 = V554642 + 1. assign V367401 = V939489 - 1. assign V989418 = V088393. assign V824609 = V529828 + 1. assign V164614 = V823544. assign V519710 = V821555. assign V527580 = V306262 - 1. assign V287847 = V913339 + 1. assign V218874 = V490630 + 1. assign V497686 = V088393. assign V528361 = V680559 + 1. assign V686147 = V519710 + 1. assign V465932 = V370598. assign V166940 = V858117 - 1. assign V599507 = V668927 + 1. assign V377857 = V972801. assign V706890 = V858169. assign V251155 = V715238. assign V069716 = V821555. assign V537854 = V823544 + 1. assign V487580 = V939489 + 1. assign V476999 = V886837 + 1. assign V472107 = V521108 + 1. assign V913339 = V248959 + 1. assign V380900 = V824609. assign V121040 = V458410. assign V256140 = V315467 + 1. assign V649866 = V957054 + 1. assign V705799 = V680559 + 1. assign V369625 = V394082 + 1. assign V468817 = V490630. assign V170523 = V186034 + 1. assign V415624 = V511830. assign V267855 = V166940 - 1. assign V656121 = V034661 - 1. assign V063550 = V040566. assign V557687 = V486871 - 1. assign V488829 = V454950 - 1. assign V672924 = V598370 - 1. assign V548116 = V972801 + 1. assign V190755 = V692004. assign V197556 = V580772 + 1. assign V306262 = V543717 - 1. assign V775679 = V356861 + 1. assign V848212 = V848388 + 1. assign V023473 = V490630. assign V511613 = V386215 - 1. assign V887536 = V669665 - 1. assign V399412 = V487580 + 1. assign V755692 = V642518 + 1. assign V438350 = V855959 + 1. assign V314090 = V755692 + 1. assign V649287 = V039602 - 1. assign V850862 = V488829 + 1. assign V323705 = V889175 - 1. assign V338143 = V067711 - 1. assign V208224 = V848212 - 1. assign V633784 = V334388. assign V130343 = V543717. assign V568383 = V190755 - 1. assign V759218 = V794523 - 1. assign V883842 = V511830. assign V894093 = V166940. assign V267483 = V821555 + 1. assign V182575 = V974175 + 1. assign V794279 = V559168. assign V351979 = V256140 + 1. assign V117930 = V438350 - 1. assign V495945 = V402357 + 1. assign V185050 = V290835 + 1. assign V377127 = V964240. assign V033870 = V717933. assign V530515 = V548195. assign V441358 = V744779 + 1. assign V412715 = V855936 - 1. assign V401660 = V669665 - 1. assign V941657 = V642518. assign V638451 = V334388 - 1. assign V533621 = V660987. assign V377542 = V682595 - 1. assign V113700 = V201033 - 1. assign V778688 = V118504. assign V092723 = V494502 + 1. assign V226161 = V334388 - 1. assign V683304 = V474942. assign V367674 = 7. assign V508936 = V267483 - 1. assign V458891 = V299926 - 1. assign V660987 = V367674 + 1. assign V077585 = V172191. assign V221590 = V298436. assign V886428 = V742713 + 1. assign V034661 = V486871. assign V939489 = V622333 - 1. assign V855936 = V989418. assign V483700 = V486871 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V957054 = V755692 + 1. assign V904744 = V360296 + 1. assign V767241 = V692004. assign V728477 = V635555 + 1. assign V502181 = V760660 - 1. assign V906292 = V529828 - 1. assign V760660 = V180338. assign V095106 = V145144. assign V766954 = V218874 - 1. assign V997102 = V933434 - 1. assign V999276 = V760660 + 1. assign V144540 = V474942 + 1. assign V960242 = V252972 - 1. assign V566749 = V367674 + 1. assign V266899 = V476999 - 1. assign V947720 = V375507 + 1. assign V895770 = V543717 + 1. assign V537944 = V486812 - 1. assign V885813 = V759218 + 1. assign V209341 = V338143. assign V548526 = V543717. assign V532716 = V543717. assign V221464 = V289303 + 1. assign V974175 = V008551 - 1. assign V622333 = V386215 - 1. assign V204025 = V508347 + 1. assign V375507 = V821555. assign V560381 = V566749. assign V643056 = V486871 + 1. assign V474942 = V525417 - 1. assign V893216 = V557687 - 1. assign V031951 = V256140 - 1. assign V516665 = V760660 + 1. assign V947997 = V306262 + 1. assign V548195 = V180338 - 1. assign V298436 = V794523 - 1. assign V025258 = V117930 - 1. assign V040566 = V284614 + 1. assign V478635 = V483700. assign V408754 = V639456 - 1. assign V292234 = V827913 - 1. assign V855959 = V529828 + 1. assign V460646 = V895770 + 1. assign V062902 = V951896. assign V561957 = V511830 - 1. assign V508347 = V486812 + 1. assign V543717 = V529828 - 1. assign V864337 = V306262 - 1. assign V762209 = V511830. assign V528830 = V625085. assign V709867 = V939489 + 1. assign V252972 = V412715. assign V821555 = V886837. assign V625085 = V964240 + 1. assign V458410 = V964240 + 1. assign V778775 = V130343 + 1. assign V113337 = V858117 - 1. assign V488555 = V166940 - 1. assign V559168 = V554642 - 1. assign V480605 = V182575 + 1. assign V668927 = V284614 - 1. assign V957365 = V511830 + 1. assign V724303 = V412715. assign V899122 = V705799. assign V886837 = V742713. assign V155632 = V997102 - 1. assign V034147 = V812983 + 1. assign V541772 = V328817. assign V340338 = V118504 + 1. assign V315467 = V375507. assign V669665 = V077585 - 1. assign V827913 = V855959 - 1. assign V587271 = V898836 - 1. assign V123560 = V172191. assign V290835 = V511613. assign V494502 = V483700 - 1. assign V819623 = V284614 - 1. assign V635555 = V871378 - 1. assign V719417 = V367401 + 1. assign V703920 = V370598 - 1. assign V087055 = V190755 + 1. assign V707009 = V298629 - 1. assign V088393 = V490630. assign V486871 = V375507. assign V964240 = V543717 - 1. assign V828527 = V476999. assign V744779 = V705799 - 1. assign V858169 = V680559 + 1. assign V402357 = V877379 + 1. assign V298629 = V529828. assign V877507 = V759852 + 1. assign V273717 = V553921 - 1. assign V832056 = V717933 + 1. assign V238792 = V263907. assign V212715 = V537854 - 1. assign V166116 = V340338 + 1. assign V646900 = V315467. assign V929222 = V105149 - 1. assign V112587 = V292234 + 1. assign V186034 = V858169 + 1. assign V328817 = V166940. assign V972691 = V164614 - 1. assign V747561 = V172191 - 1. assign V500484 = V328817. assign V688114 = V904130 - 1. assign V904130 = V529828 - 1. assign V374745 = V848212 + 1. assign V715238 = V118504 + 1. assign V830573 = V767241. assign V494743 = V441358 - 1. assign V316917 = V599507 - 1. assign V144314 = V807029. assign V545670 = V370598 + 1. assign V365629 = V855959 + 1. assign V972801 = V692004 + 1. assign V647012 = V680559 - 1. assign V452968 = V649866 + 1. assign V889175 = V369625 + 1. assign V392483 = V742713 - 1. assign V598370 = V828527. assign V118504 = V989418 - 1. assign V063477 = V063550 + 1. assign V898395 = V639456. assign V778440 = V951896 - 1. assign V470012 = V254172 - 1. assign V138508 = V537854 - 1. assign V126792 = V483700 + 1. assign V454950 = V370598. assign V865112 = V812899 - 1. assign V768091 = V855936 - 1. assign V259524 = V529828 - 1. assign V736561 = V252972 + 1. assign V823544 = V529828 - 1. assign V145144 = V755692 - 1. assign V263907 = V476999 - 1. assign V680559 = V824609 - 1. assign V641015 = V680559 + 1. assign V360219 = V088393 - 1. assign V072846 = V508347 + 1. assign V809898 = V367674 + 1. assign V073975 = V267483 + 1. assign V356861 = V642518. assign V922397 = V709832 + 1. assign V932113 = V438350. assign V815450 = V760660 - 1. assign V602039 = V486812. assign V389505 = V621205 - 1. assign V299926 = V130343 - 1. assign V334388 = V858117 + 1. assign V490630 = V742713. assign V180338 = V790372 + 1. assign V553921 = V972801 - 1. assign V105149 = V102869 + 1. assign V832187 = V524100. assign V692004 = V380900 - 1. assign V433444 = V543526 - 1. assign V289303 = V682595 - 1. assign V807029 = V454950 + 1. assign V794523 = V997102 + 1. assign V478599 = V263907 - 1. assign V245899 = V180338 + 1. assign V804190 = V113337. assign V522815 = V186034 + 1. assign V682595 = V328591 + 1. assign V360296 = V566749 + 1. assign V692529 = V478635 + 1. assign V742713 = V529828. assign V212453 = V641015. assign V039602 = V692004 - 1. assign V486812 = V858117 + 1. assign V490826 = V537854. assign V749404 = V855959. assign V610406 = V031951 - 1. assign V102869 = V692004 + 1. assign V030178 = V210310 + 1. assign V386215 = V964240 - 1. assign V877379 = V529828 - 1. assign V324570 = V871378. assign V394082 = V828527 - 1. assign V675418 = V643056. assign V990860 = V913339 + 1. assign V603469 = V319467 + 1. assign V102761 = V367674 - 1. assign V563379 = V999276 + 1. assign V898836 = V821555. assign V879736 = V334388. assign V158853 = V933434 + 1. assign V771831 = V356861 - 1. assign V759852 = V102869. assign V511830 = V642518 - 1. assign V375173 = V778688 + 1. assign V254172 = V832187. assign V848388 = V172191. assign V790372 = V529828 - 1. assign V072697 = V899122. assign V053471 = V394731 - 1. assign V008551 = V999276. assign V203110 = V497686 + 1. assign V370598 = V855959 - 1. assign V046143 = V360296 - 1. assign V621205 = V545670 + 1. assign V642110 = V775679 - 1. assign V359885 = V063550 - 1. assign V327673 = V736561 + 1. assign V931852 = V031951 - 1. assign V499098 = V401660 + 1. assign V858117 = V548526 - 1. assign V951896 = V760660 - 1. assign V036819 = V848388 - 1. assign V415314 = V812983. assign V385299 = V380900 - 1. assign V521108 = V864337 + 1. assign V067711 = V895770 - 1. assign V328591 = V989418 - 1. assign V642518 = V947997. assign V396664 = V706890 + 1. assign V524100 = V486871 + 1. assign V812899 = V933434 + 1. assign V408951 = V105149 - 1. assign V345752 = V742713 - 1. assign V394731 = V180338. assign V230736 = V375507 + 1. assign V580772 = V190755 + 1. assign V871378 = V117930 - 1. assign V639456 = V529828 - 1. assign V543526 = V508347. assign V010809 = V375507. assign V114936 = V438350. assign V727636 = V643056 + 1. assign V255665 = V545670 + 1. assign V253766 = V212715 + 1. assign V248959 = V392483 - 1. assign V413933 = V095106. assign V694388 = V528361 + 1. assign V709832 = V529828 + 1. assign V676069 = V548116 + 1. assign V284614 = V370598 + 1. assign V399452 = V759852 - 1. assign V386333 = V267855 - 1. assign V825138 = V524100 + 1. assign V319467 = V386215 + 1. assign V441137 = V472107. assign V735108 = V643056 - 1. assign V876649 = V821555 - 1. assign V201033 = V284614 - 1. assign V525417 = V639456 + 1. assign V325799 = V821555. assign V172191 = V039602 - 1. assign V717933 = V557687 - 1. assign V812983 = V877379. assign V554642 = V351979 + 1. assign V210310 = V999276 + 1. assign V933434 = V824609 - 1. assign V632062 = V692529 - 1. assign V001690 = V325799 + 1. assign V314429 = V554642 + 1. assign V367401 = V939489 - 1. assign V989418 = V088393. assign V824609 = V529828 + 1. assign V164614 = V823544. assign V519710 = V821555. assign V527580 = V306262 - 1. assign V287847 = V913339 + 1. assign V218874 = V490630 + 1. assign V497686 = V088393. assign V528361 = V680559 + 1. assign V686147 = V519710 + 1. assign V465932 = V370598. assign V166940 = V858117 - 1. assign V599507 = V668927 + 1. assign V377857 = V972801. assign V706890 = V858169. assign V251155 = V715238. assign V069716 = V821555. assign V537854 = V823544 + 1. assign V487580 = V939489 + 1. assign V476999 = V886837 + 1. assign V472107 = V521108 + 1. assign V913339 = V248959 + 1. assign V380900 = V824609. assign V121040 = V458410. assign V256140 = V315467 + 1. assign V649866 = V957054 + 1. assign V705799 = V680559 + 1. assign V369625 = V394082 + 1. assign V468817 = V490630. assign V170523 = V186034 + 1. assign V415624 = V511830. assign V267855 = V166940 - 1. assign V656121 = V034661 - 1. assign V063550 = V040566. assign V557687 = V486871 - 1. assign V488829 = V454950 - 1. assign V672924 = V598370 - 1. assign V548116 = V972801 + 1. assign V190755 = V692004. assign V197556 = V580772 + 1. assign V306262 = V543717 - 1. assign V775679 = V356861 + 1. assign V848212 = V848388 + 1. assign V023473 = V490630. assign V511613 = V386215 - 1. assign V887536 = V669665 - 1. assign V399412 = V487580 + 1. assign V755692 = V642518 + 1. assign V438350 = V855959 + 1. assign V314090 = V755692 + 1. assign V649287 = V039602 - 1. assign V850862 = V488829 + 1. assign V323705 = V889175 - 1. assign V338143 = V067711 - 1. assign V208224 = V848212 - 1. assign V633784 = V334388. assign V130343 = V543717. assign V568383 = V190755 - 1. assign V759218 = V794523 - 1. assign V883842 = V511830. assign V894093 = V166940. assign V267483 = V821555 + 1. assign V182575 = V974175 + 1. assign V794279 = V559168. assign V351979 = V256140 + 1. assign V117930 = V438350 - 1. assign V495945 = V402357 + 1. assign V185050 = V290835 + 1. assign V377127 = V964240. assign V033870 = V717933. assign V530515 = V548195. assign V441358 = V744779 + 1. assign V412715 = V855936 - 1. assign V401660 = V669665 - 1. assign V941657 = V642518. assign V638451 = V334388 - 1. assign V533621 = V660987. assign V377542 = V682595 - 1. assign V113700 = V201033 - 1. assign V778688 = V118504. assign V092723 = V494502 + 1. assign V226161 = V334388 - 1. assign V683304 = V474942. assign V367674 = 7. assign V508936 = V267483 - 1. assign V458891 = V299926 - 1. assign V660987 = V367674 + 1. assign V077585 = V172191. assign V221590 = V298436. assign V886428 = V742713 + 1. assign V034661 = V486871. assign V939489 = V622333 - 1. assign V855936 = V989418. assign V483700 = V486871 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV367674 = 7;\n\nFrom these direct assignment(s), we have: \nV660987 = V367674 + 1 = 7 + 1 =8;\nV533621 = V660987 = 8;\nNo other varaibles can be derived from V533621;\nNo other varaibles can be derived from V660987;\nV102761 = V367674 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V102761;\nV809898 = V367674 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V809898;\nV566749 = V367674 + 1 = 7 + 1 =8;\nV360296 = V566749 + 1 = 8 + 1 =9;\nV046143 = V360296 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V046143;\nV904744 = V360296 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V904744;\nNo other varaibles can be derived from V360296;\nV560381 = V566749 = 8;\nNo other varaibles can be derived from V560381;\nNo other varaibles can be derived from V566749;\nNo other varaibles can be derived from V367674;\n\nNow we have done all the calculations. Derived variables are:\nV367674 = 7;\nV660987 = 8;\nV533621 = 8;\nV102761 = 6;\nV809898 = 8;\nV566749 = 8;\nV360296 = 9;\nV046143 = 8;\nV904744 = 10;\nV560381 = 8;\n\nNow we have finished this problem. ANSWER:\nV660987, V533621, V809898, V566749, V046143, V560381\n", "role": "assistant" } ]

[ "V894147", "V962371", "V670579", "V339866", "V609084", "V312905" ]

[ { "content": "<context>\nassign V065138 = V882547. assign V700999 = V171539. assign V635765 = V369276 - 1. assign V234643 = V983817. assign V671492 = V430272. assign V649213 = V905118 + 1. assign V675883 = V996024 - 1. assign V940484 = V134997 - 1. assign V844227 = V848192. assign V441180 = V084857. assign V756037 = V077349. assign V681517 = V725485 + 1. assign V455730 = V441180 + 1. assign V374699 = V629581. assign V645437 = V886690 - 1. assign V797927 = V557211. assign V119432 = V541701 + 1. assign V670579 = V894147. assign V437677 = V055791 - 1. assign V464191 = V829873 + 1. assign V514729 = V170301 + 1. assign V819581 = V701520 - 1. assign V337201 = V773267 + 1. assign V464442 = V077349 + 1. assign V880330 = V159070 - 1. assign V507731 = V865151. assign V962371 = V894147. assign V760181 = V514987. assign V420154 = V557211 + 1. assign V257725 = V566566 + 1. assign V647621 = V751772 - 1. assign V396030 = V101322 + 1. assign V563734 = V566467 - 1. assign V406450 = V499867. assign V912880 = V260692 - 1. assign V248052 = V675177 - 1. assign V400000 = V728048 + 1. assign V699739 = V015126 + 1. assign V308173 = V963195 - 1. assign V001954 = V557211 + 1. assign V828252 = V557211 - 1. assign V312691 = V945191 + 1. assign V182871 = V865151. assign V238663 = V245137. assign V925426 = V894147 - 1. assign V983817 = V096850 + 1. assign V696993 = V027669 + 1. assign V369276 = V186282. assign V091429 = V940884 + 1. assign V913147 = V005149. assign V465760 = V990305. assign V530130 = V243439 - 1. assign V015334 = V549148. assign V573130 = V630020 + 1. assign V321252 = V084857. assign V829015 = V036757. assign V300700 = V756037. assign V609202 = V101322 - 1. assign V177393 = V186842 + 1. assign V437993 = V911364. assign V501921 = V077349. assign V100289 = V091429 + 1. assign V066922 = V715610. assign V588650 = V330417 + 1. assign V829873 = V304997 - 1. assign V865151 = V257148 - 1. assign V059329 = V134997 + 1. assign V751657 = V170301 - 1. assign V181399 = V749550 + 1. assign V225487 = V272389 + 1. assign V448185 = V077349 + 1. assign V944935 = V488651 - 1. assign V764183 = 5. assign V905118 = V090354 - 1. assign V253275 = V044047 - 1. assign V357563 = V238663 - 1. assign V441037 = V257148 - 1. assign V071416 = V420154 + 1. assign V036757 = V913147 - 1. assign V861300 = V962371 - 1. assign V572023 = V421613. assign V272389 = V267707 - 1. assign V059728 = V913147 - 1. assign V095152 = V260692 + 1. assign V516243 = V540687 - 1. assign V894147 = V764183 + 1. assign V966782 = V219668. assign V444511 = V257148 + 1. assign V271102 = V050221 + 1. assign V734334 = V182871. assign V001448 = V541701 + 1. assign V897421 = V100289 + 1. assign V430272 = V913147 - 1. assign V447458 = V464191. assign V001338 = V312905 + 1. assign V078924 = V862279 + 1. assign V244621 = V854075 - 1. assign V304997 = V200117 + 1. assign V566566 = V501921 - 1. assign V680665 = V557211 - 1. assign V725485 = V639089 - 1. assign V084857 = V253275. assign V242166 = V827232. assign V148845 = V217154 + 1. assign V105349 = V994651 - 1. assign V743818 = V005596 - 1. assign V170890 = V956105 - 1. assign V945191 = V444511 - 1. assign V272672 = V005149 + 1. assign V541240 = V060243. assign V056639 = V077349 + 1. assign V563862 = V044047 + 1. assign V306656 = V499867. assign V074918 = V005149. assign V209555 = V171539. assign V181692 = V814077. assign V809100 = V361794. assign V826000 = V233730. assign V982566 = V006066 - 1. assign V838898 = V544165 + 1. assign V050221 = V711682 - 1. assign V996024 = V725485 - 1. assign V006066 = V624119 - 1. assign V206274 = V195925 + 1. assign V042960 = V260692 + 1. assign V290043 = V187652. assign V948321 = V148845 + 1. assign V886690 = V077349 + 1. assign V245137 = V629581 + 1. assign V483947 = V421613. assign V827232 = V890208. assign V039118 = V516243 + 1. assign V333166 = V014247. assign V890208 = V079987 - 1. assign V186282 = V119432 + 1. assign V005596 = V245137 - 1. assign V446470 = V814032 - 1. assign V566467 = V090354. assign V671799 = V219668 + 1. assign V636229 = V982566 + 1. assign V069465 = V990305 + 1. assign V096164 = V624670. assign V859782 = V258331. assign V848148 = V751104 - 1. assign V436535 = V488651 + 1. assign V729766 = V743818 + 1. assign V963195 = V010658 + 1. assign V166744 = V514987 + 1. assign V773267 = V092207 + 1. assign V603338 = V271102. assign V961171 = V269803 + 1. assign V269803 = V715610. assign V028682 = V441037. assign V936895 = V084857. assign V609084 = V861300 + 1. assign V159070 = V170301 + 1. assign V766534 = V248052 - 1. assign V221042 = V897262. assign V751104 = V005149 + 1. assign V188951 = V300700. assign V624670 = V884395 - 1. assign V244468 = V253275. assign V940427 = V359121 + 1. assign V532433 = V629581. assign V557211 = V200117 - 1. assign V848587 = V186842 - 1. assign V165140 = V948321 - 1. assign V990305 = V361794 - 1. assign V498732 = V671799 + 1. assign V639089 = V715610 - 1. assign V745178 = V269803 - 1. assign V187652 = V333166 - 1. assign V572452 = V027669. assign V636114 = V689103 + 1. assign V785278 = V994651 + 1. assign V258331 = V701520 + 1. assign V811755 = V155437 + 1. assign V060243 = V566566 - 1. assign V580828 = V015126 - 1. assign V839866 = V001448. assign V219668 = V552007 - 1. assign V982045 = V272672. assign V421613 = V134997 + 1. assign V358443 = V814032 - 1. assign V176249 = V696993 - 1. assign V330417 = V272672. assign V751772 = V238663. assign V545937 = V624119. assign V932531 = V225365 - 1. assign V628793 = V530130 + 1. assign V495817 = V645437 - 1. assign V630020 = V814032. assign V260692 = V751104 - 1. assign V818480 = V245137 + 1. assign V134997 = V639089 - 1. assign V499867 = V566566 + 1. assign V010658 = V715610 + 1. assign V984078 = V244621. assign V178729 = V090354 + 1. assign V673386 = V119432 - 1. assign V856888 = V541240 + 1. assign V740470 = V225487 - 1. assign V171539 = V010658 + 1. assign V854075 = V745178. assign V749550 = V304997 + 1. assign V634035 = V219668 - 1. assign V213313 = V913147. assign V273219 = V994651 + 1. assign V869439 = V948321 + 1. assign V096850 = V060243 - 1. assign V535970 = V345788 - 1. assign V000697 = V084857 - 1. assign V079987 = V715610 + 1. assign V170301 = V717955. assign V345788 = V014247 - 1. assign V675177 = V854075. assign V341357 = V548483 - 1. assign V200117 = V639089 + 1. assign V288086 = V084857 + 1. assign V629140 = V848587 + 1. assign V220278 = V552007 - 1. assign V549148 = V359121. assign V015126 = V460511 - 1. assign V715610 = V300700 - 1. assign V014247 = V701520 + 1. assign V871687 = V725485 - 1. assign V882547 = V001448. assign V266573 = V501921 - 1. assign V157935 = V195925. assign V885638 = V176249. assign V195925 = V886690 + 1. assign V701520 = V077349 - 1. assign V475575 = V756037 + 1. assign V183609 = V749550 + 1. assign V689103 = V014247. assign V275595 = V645437 + 1. assign V952040 = V825438. assign V814032 = V155437. assign V261061 = V321252 - 1. assign V314970 = V911364 + 1. assign V717955 = V200117. assign V514987 = V566566 - 1. assign V092207 = V552007 - 1. assign V973633 = V245137. assign V884395 = V171539 - 1. assign V233730 = V624670. assign V286359 = V166744 - 1. assign V312905 = V609084. assign V471981 = V130987 - 1. assign V911364 = V077349 - 1. assign V680399 = V713816. assign V834593 = V680665 - 1. assign V728048 = V005596 + 1. assign V317346 = V514729 - 1. assign V871652 = V676657 + 1. assign V015699 = V673386 + 1. assign V654490 = V541240 + 1. assign V918870 = V182871 - 1. assign V557493 = V448185 + 1. assign V090354 = V940884 - 1. assign V629581 = V056639. assign V728823 = V944935 + 1. assign V100657 = V846091 + 1. assign V257148 = V300700. assign V733371 = V624670 - 1. assign V479677 = V743818. assign V886610 = V676657 + 1. assign V862279 = V448185 + 1. assign V522737 = V940484. assign V359121 = V541701 + 1. assign V005149 = V701520 - 1. assign V956105 = V448761 + 1. assign V044047 = V351419 + 1. assign V086649 = V728048. assign V711682 = V549148 - 1. assign V101322 = V446470 - 1. assign V027669 = V257725 - 1. assign V552007 = V499867 - 1. assign V986233 = V448761. assign V676657 = V166744. assign V437265 = V369276. assign V551485 = V406450. assign V962961 = V717955 + 1. assign V940884 = V890208. assign V825438 = V243439 + 1. assign V018563 = V905118. assign V271184 = V066922 - 1. assign V432670 = V885638. assign V009295 = V242166 + 1. assign V548483 = V483947 + 1. assign V658318 = V940484. assign V186842 = V539051. assign V303248 = V267707 - 1. assign V009630 = V885638 + 1. assign V155437 = V134997 - 1. assign V055791 = V330417 + 1. assign V959381 = V848148 - 1. assign V785914 = V948321. assign V541701 = V300700 + 1. assign V866741 = V119432 - 1. assign V267707 = V027669 + 1. assign V299891 = V549148 - 1. assign V676142 = V077349 - 1. assign V351419 = V420154 + 1. assign V865331 = V797927. assign V524961 = V437265 - 1. assign V225365 = V862279 - 1. assign V539051 = V756037 + 1. assign V897262 = V696993. assign V389791 = V886610 - 1. assign V448761 = V827232. assign V540687 = V940484 - 1. assign V892640 = V715610. assign V620558 = V187652 - 1. assign V589169 = V681517. assign V994651 = V701520. assign V795937 = V544165 + 1. assign V942452 = V267707. assign V624119 = V675177 - 1. assign V499714 = V680399 + 1. assign V846091 = V345788. assign V713816 = V848148. assign V544165 = V455730 + 1. assign V217154 = V300700 + 1. assign V966860 = V471981 - 1. assign V099728 = V348316. assign V130987 = V973633 + 1. assign V754870 = V530130 + 1. assign V189713 = V990305 + 1. assign V096178 = V099728. assign V243439 = V751772 - 1. assign V426703 = V187652. assign V814077 = V629581 - 1. assign V147302 = V814077 - 1. assign V065128 = V234643 - 1. assign V844975 = V357563 - 1. assign V793571 = V079987 + 1. assign V435741 = V455730 + 1. assign V821860 = V963195 - 1. assign V361794 = V725485 - 1. assign V531017 = V728048 - 1. assign V348316 = V725485. assign V393433 = V890208. assign V014536 = V119432 + 1. assign V848192 = V421613 - 1. assign V633420 = V944935. assign V488651 = V217154 + 1. assign V646448 = V149786 + 1. assign V149786 = V460511 - 1. assign V339866 = V861300 + 1. assign V460511 = V036757 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V065138 = V882547. assign V700999 = V171539. assign V635765 = V369276 - 1. assign V234643 = V983817. assign V671492 = V430272. assign V649213 = V905118 + 1. assign V675883 = V996024 - 1. assign V940484 = V134997 - 1. assign V844227 = V848192. assign V441180 = V084857. assign V756037 = V077349. assign V681517 = V725485 + 1. assign V455730 = V441180 + 1. assign V374699 = V629581. assign V645437 = V886690 - 1. assign V797927 = V557211. assign V119432 = V541701 + 1. assign V670579 = V894147. assign V437677 = V055791 - 1. assign V464191 = V829873 + 1. assign V514729 = V170301 + 1. assign V819581 = V701520 - 1. assign V337201 = V773267 + 1. assign V464442 = V077349 + 1. assign V880330 = V159070 - 1. assign V507731 = V865151. assign V962371 = V894147. assign V760181 = V514987. assign V420154 = V557211 + 1. assign V257725 = V566566 + 1. assign V647621 = V751772 - 1. assign V396030 = V101322 + 1. assign V563734 = V566467 - 1. assign V406450 = V499867. assign V912880 = V260692 - 1. assign V248052 = V675177 - 1. assign V400000 = V728048 + 1. assign V699739 = V015126 + 1. assign V308173 = V963195 - 1. assign V001954 = V557211 + 1. assign V828252 = V557211 - 1. assign V312691 = V945191 + 1. assign V182871 = V865151. assign V238663 = V245137. assign V925426 = V894147 - 1. assign V983817 = V096850 + 1. assign V696993 = V027669 + 1. assign V369276 = V186282. assign V091429 = V940884 + 1. assign V913147 = V005149. assign V465760 = V990305. assign V530130 = V243439 - 1. assign V015334 = V549148. assign V573130 = V630020 + 1. assign V321252 = V084857. assign V829015 = V036757. assign V300700 = V756037. assign V609202 = V101322 - 1. assign V177393 = V186842 + 1. assign V437993 = V911364. assign V501921 = V077349. assign V100289 = V091429 + 1. assign V066922 = V715610. assign V588650 = V330417 + 1. assign V829873 = V304997 - 1. assign V865151 = V257148 - 1. assign V059329 = V134997 + 1. assign V751657 = V170301 - 1. assign V181399 = V749550 + 1. assign V225487 = V272389 + 1. assign V448185 = V077349 + 1. assign V944935 = V488651 - 1. assign V764183 = 5. assign V905118 = V090354 - 1. assign V253275 = V044047 - 1. assign V357563 = V238663 - 1. assign V441037 = V257148 - 1. assign V071416 = V420154 + 1. assign V036757 = V913147 - 1. assign V861300 = V962371 - 1. assign V572023 = V421613. assign V272389 = V267707 - 1. assign V059728 = V913147 - 1. assign V095152 = V260692 + 1. assign V516243 = V540687 - 1. assign V894147 = V764183 + 1. assign V966782 = V219668. assign V444511 = V257148 + 1. assign V271102 = V050221 + 1. assign V734334 = V182871. assign V001448 = V541701 + 1. assign V897421 = V100289 + 1. assign V430272 = V913147 - 1. assign V447458 = V464191. assign V001338 = V312905 + 1. assign V078924 = V862279 + 1. assign V244621 = V854075 - 1. assign V304997 = V200117 + 1. assign V566566 = V501921 - 1. assign V680665 = V557211 - 1. assign V725485 = V639089 - 1. assign V084857 = V253275. assign V242166 = V827232. assign V148845 = V217154 + 1. assign V105349 = V994651 - 1. assign V743818 = V005596 - 1. assign V170890 = V956105 - 1. assign V945191 = V444511 - 1. assign V272672 = V005149 + 1. assign V541240 = V060243. assign V056639 = V077349 + 1. assign V563862 = V044047 + 1. assign V306656 = V499867. assign V074918 = V005149. assign V209555 = V171539. assign V181692 = V814077. assign V809100 = V361794. assign V826000 = V233730. assign V982566 = V006066 - 1. assign V838898 = V544165 + 1. assign V050221 = V711682 - 1. assign V996024 = V725485 - 1. assign V006066 = V624119 - 1. assign V206274 = V195925 + 1. assign V042960 = V260692 + 1. assign V290043 = V187652. assign V948321 = V148845 + 1. assign V886690 = V077349 + 1. assign V245137 = V629581 + 1. assign V483947 = V421613. assign V827232 = V890208. assign V039118 = V516243 + 1. assign V333166 = V014247. assign V890208 = V079987 - 1. assign V186282 = V119432 + 1. assign V005596 = V245137 - 1. assign V446470 = V814032 - 1. assign V566467 = V090354. assign V671799 = V219668 + 1. assign V636229 = V982566 + 1. assign V069465 = V990305 + 1. assign V096164 = V624670. assign V859782 = V258331. assign V848148 = V751104 - 1. assign V436535 = V488651 + 1. assign V729766 = V743818 + 1. assign V963195 = V010658 + 1. assign V166744 = V514987 + 1. assign V773267 = V092207 + 1. assign V603338 = V271102. assign V961171 = V269803 + 1. assign V269803 = V715610. assign V028682 = V441037. assign V936895 = V084857. assign V609084 = V861300 + 1. assign V159070 = V170301 + 1. assign V766534 = V248052 - 1. assign V221042 = V897262. assign V751104 = V005149 + 1. assign V188951 = V300700. assign V624670 = V884395 - 1. assign V244468 = V253275. assign V940427 = V359121 + 1. assign V532433 = V629581. assign V557211 = V200117 - 1. assign V848587 = V186842 - 1. assign V165140 = V948321 - 1. assign V990305 = V361794 - 1. assign V498732 = V671799 + 1. assign V639089 = V715610 - 1. assign V745178 = V269803 - 1. assign V187652 = V333166 - 1. assign V572452 = V027669. assign V636114 = V689103 + 1. assign V785278 = V994651 + 1. assign V258331 = V701520 + 1. assign V811755 = V155437 + 1. assign V060243 = V566566 - 1. assign V580828 = V015126 - 1. assign V839866 = V001448. assign V219668 = V552007 - 1. assign V982045 = V272672. assign V421613 = V134997 + 1. assign V358443 = V814032 - 1. assign V176249 = V696993 - 1. assign V330417 = V272672. assign V751772 = V238663. assign V545937 = V624119. assign V932531 = V225365 - 1. assign V628793 = V530130 + 1. assign V495817 = V645437 - 1. assign V630020 = V814032. assign V260692 = V751104 - 1. assign V818480 = V245137 + 1. assign V134997 = V639089 - 1. assign V499867 = V566566 + 1. assign V010658 = V715610 + 1. assign V984078 = V244621. assign V178729 = V090354 + 1. assign V673386 = V119432 - 1. assign V856888 = V541240 + 1. assign V740470 = V225487 - 1. assign V171539 = V010658 + 1. assign V854075 = V745178. assign V749550 = V304997 + 1. assign V634035 = V219668 - 1. assign V213313 = V913147. assign V273219 = V994651 + 1. assign V869439 = V948321 + 1. assign V096850 = V060243 - 1. assign V535970 = V345788 - 1. assign V000697 = V084857 - 1. assign V079987 = V715610 + 1. assign V170301 = V717955. assign V345788 = V014247 - 1. assign V675177 = V854075. assign V341357 = V548483 - 1. assign V200117 = V639089 + 1. assign V288086 = V084857 + 1. assign V629140 = V848587 + 1. assign V220278 = V552007 - 1. assign V549148 = V359121. assign V015126 = V460511 - 1. assign V715610 = V300700 - 1. assign V014247 = V701520 + 1. assign V871687 = V725485 - 1. assign V882547 = V001448. assign V266573 = V501921 - 1. assign V157935 = V195925. assign V885638 = V176249. assign V195925 = V886690 + 1. assign V701520 = V077349 - 1. assign V475575 = V756037 + 1. assign V183609 = V749550 + 1. assign V689103 = V014247. assign V275595 = V645437 + 1. assign V952040 = V825438. assign V814032 = V155437. assign V261061 = V321252 - 1. assign V314970 = V911364 + 1. assign V717955 = V200117. assign V514987 = V566566 - 1. assign V092207 = V552007 - 1. assign V973633 = V245137. assign V884395 = V171539 - 1. assign V233730 = V624670. assign V286359 = V166744 - 1. assign V312905 = V609084. assign V471981 = V130987 - 1. assign V911364 = V077349 - 1. assign V680399 = V713816. assign V834593 = V680665 - 1. assign V728048 = V005596 + 1. assign V317346 = V514729 - 1. assign V871652 = V676657 + 1. assign V015699 = V673386 + 1. assign V654490 = V541240 + 1. assign V918870 = V182871 - 1. assign V557493 = V448185 + 1. assign V090354 = V940884 - 1. assign V629581 = V056639. assign V728823 = V944935 + 1. assign V100657 = V846091 + 1. assign V257148 = V300700. assign V733371 = V624670 - 1. assign V479677 = V743818. assign V886610 = V676657 + 1. assign V862279 = V448185 + 1. assign V522737 = V940484. assign V359121 = V541701 + 1. assign V005149 = V701520 - 1. assign V956105 = V448761 + 1. assign V044047 = V351419 + 1. assign V086649 = V728048. assign V711682 = V549148 - 1. assign V101322 = V446470 - 1. assign V027669 = V257725 - 1. assign V552007 = V499867 - 1. assign V986233 = V448761. assign V676657 = V166744. assign V437265 = V369276. assign V551485 = V406450. assign V962961 = V717955 + 1. assign V940884 = V890208. assign V825438 = V243439 + 1. assign V018563 = V905118. assign V271184 = V066922 - 1. assign V432670 = V885638. assign V009295 = V242166 + 1. assign V548483 = V483947 + 1. assign V658318 = V940484. assign V186842 = V539051. assign V303248 = V267707 - 1. assign V009630 = V885638 + 1. assign V155437 = V134997 - 1. assign V055791 = V330417 + 1. assign V959381 = V848148 - 1. assign V785914 = V948321. assign V541701 = V300700 + 1. assign V866741 = V119432 - 1. assign V267707 = V027669 + 1. assign V299891 = V549148 - 1. assign V676142 = V077349 - 1. assign V351419 = V420154 + 1. assign V865331 = V797927. assign V524961 = V437265 - 1. assign V225365 = V862279 - 1. assign V539051 = V756037 + 1. assign V897262 = V696993. assign V389791 = V886610 - 1. assign V448761 = V827232. assign V540687 = V940484 - 1. assign V892640 = V715610. assign V620558 = V187652 - 1. assign V589169 = V681517. assign V994651 = V701520. assign V795937 = V544165 + 1. assign V942452 = V267707. assign V624119 = V675177 - 1. assign V499714 = V680399 + 1. assign V846091 = V345788. assign V713816 = V848148. assign V544165 = V455730 + 1. assign V217154 = V300700 + 1. assign V966860 = V471981 - 1. assign V099728 = V348316. assign V130987 = V973633 + 1. assign V754870 = V530130 + 1. assign V189713 = V990305 + 1. assign V096178 = V099728. assign V243439 = V751772 - 1. assign V426703 = V187652. assign V814077 = V629581 - 1. assign V147302 = V814077 - 1. assign V065128 = V234643 - 1. assign V844975 = V357563 - 1. assign V793571 = V079987 + 1. assign V435741 = V455730 + 1. assign V821860 = V963195 - 1. assign V361794 = V725485 - 1. assign V531017 = V728048 - 1. assign V348316 = V725485. assign V393433 = V890208. assign V014536 = V119432 + 1. assign V848192 = V421613 - 1. assign V633420 = V944935. assign V488651 = V217154 + 1. assign V646448 = V149786 + 1. assign V149786 = V460511 - 1. assign V339866 = V861300 + 1. assign V460511 = V036757 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV764183 = 5;\n\nFrom these direct assignment(s), we have: \nV894147 = V764183 + 1 = 5 + 1 =6;\nV925426 = V894147 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V925426;\nV962371 = V894147 = 6;\nV861300 = V962371 - 1 = 6 - 1 =5;\nV339866 = V861300 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V339866;\nV609084 = V861300 + 1 = 5 + 1 =6;\nV312905 = V609084 = 6;\nV001338 = V312905 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V001338;\nNo other varaibles can be derived from V312905;\nNo other varaibles can be derived from V609084;\nNo other varaibles can be derived from V861300;\nNo other varaibles can be derived from V962371;\nV670579 = V894147 = 6;\nNo other varaibles can be derived from V670579;\nNo other varaibles can be derived from V894147;\nNo other varaibles can be derived from V764183;\n\nNow we have done all the calculations. Derived variables are:\nV764183 = 5;\nV894147 = 6;\nV925426 = 5;\nV962371 = 6;\nV861300 = 5;\nV339866 = 6;\nV609084 = 6;\nV312905 = 6;\nV001338 = 7;\nV670579 = 6;\n\nNow we have finished this problem. ANSWER:\nV894147, V962371, V339866, V609084, V312905, V670579\n", "role": "assistant" } ]

[ "V690289", "V815631", "V364461", "V157094" ]

[ { "content": "<context>\nassign V449171 = V972064 + 1. assign V329171 = V255310 + 1. assign V643925 = V401019 - 1. assign V031200 = V637159 - 1. assign V286196 = V690289 - 1. assign V138989 = V440070 - 1. assign V065900 = V972064. assign V963457 = V756664. assign V571308 = V815631 + 1. assign V530108 = V079001. assign V282120 = V792606 + 1. assign V425447 = V548386 - 1. assign V344644 = V866731 + 1. assign V405872 = V290429 + 1. assign V509926 = V447092. assign V842509 = V329171 - 1. assign V560257 = V324237 + 1. assign V680207 = V407131 - 1. assign V841215 = V286196. assign V072773 = V118469. assign V389509 = V381192. assign V341561 = V035548 + 1. assign V569349 = V338227 + 1. assign V932001 = V106308 - 1. assign V412939 = V351889 - 1. assign V934704 = V392646 + 1. assign V777837 = V857188 - 1. assign V899289 = V784379 - 1. assign V544174 = V025820. assign V457963 = V880371 - 1. assign V071566 = V330795. assign V953302 = V716795. assign V534509 = V365144 + 1. assign V106308 = V972064 - 1. assign V346725 = V109134 - 1. assign V617476 = V637113 - 1. assign V737382 = V702602. assign V422181 = V599110 - 1. assign V482673 = V599110. assign V780776 = V399769. assign V193877 = V232454 + 1. assign V100392 = V811442. assign V112578 = V249779 - 1. assign V855414 = V440070. assign V951770 = V136289 - 1. assign V084196 = V604322 - 1. assign V138068 = V152040 - 1. assign V153628 = V029080. assign V290429 = V984775 + 1. assign V972064 = V716795 - 1. assign V637159 = V100392 + 1. assign V870798 = V952320. assign V740013 = V676322 - 1. assign V466532 = V557634. assign V104760 = V045784. assign V536892 = V644724 - 1. assign V773853 = V324237 + 1. assign V921929 = V862784 + 1. assign V232454 = V399769 + 1. assign V255310 = V236285 - 1. assign V744647 = V346725 - 1. assign V474605 = V115328 - 1. assign V447092 = V025820. assign V550794 = V560257 + 1. assign V991481 = V002437 + 1. assign V344607 = V507734. assign V539036 = V106308 + 1. assign V468059 = V126296. assign V507659 = V205924 + 1. assign V815645 = V245267 + 1. assign V063043 = V272042 + 1. assign V857188 = V583907. assign V271216 = V972064. assign V948711 = V193877 - 1. assign V118469 = V255310 + 1. assign V040860 = V498485 + 1. assign V052955 = V269753. assign V043332 = V272042. assign V545334 = V169524. assign V841739 = V555790 + 1. assign V988083 = V676322. assign V803903 = V739988 + 1. assign V815631 = V071290 - 1. assign V044175 = V069247. assign V769358 = V121688. assign V563590 = V656424 + 1. assign V259896 = V213069 - 1. assign V785504 = V857188 + 1. assign V290402 = V057405 + 1. assign V162278 = V246104 - 1. assign V115328 = V498485. assign V042777 = V560257 - 1. assign V134700 = V193877. assign V197069 = V106308. assign V784379 = V624019 - 1. assign V703602 = V536892 + 1. assign V489924 = V827017 - 1. assign V325459 = V726328 - 1. assign V599110 = V651342 - 1. assign V566424 = V617476 - 1. assign V589447 = V003739. assign V223857 = V984775 + 1. assign V600613 = V900222. assign V560783 = V077149 - 1. assign V003739 = V599110 - 1. assign V924120 = V072773 + 1. assign V643748 = V465510. assign V142699 = V440358 + 1. assign V071290 = V690289 + 1. assign V029080 = V236285 + 1. assign V555790 = V881059. assign V358264 = V482673 - 1. assign V231145 = V106308 - 1. assign V420370 = V236285 - 1. assign V392646 = V358264 - 1. assign V328505 = V320836 + 1. assign V468206 = V756664 - 1. assign V463669 = V842509 + 1. assign V756664 = V490289 + 1. assign V644724 = V338227 - 1. assign V335758 = V881701. assign V580719 = V356447 - 1. assign V292143 = V406589 - 1. assign V743324 = V249779 - 1. assign V604322 = V651342. assign V364461 = V286196 + 1. assign V373467 = V106860 + 1. assign V150453 = V232454. assign V401019 = V703602 + 1. assign V726328 = V153628 + 1. assign V921132 = V031200 - 1. assign V195799 = V280790 + 1. assign V341848 = V842509. assign V503790 = V544748 - 1. assign V394245 = V617476 - 1. assign V365144 = V716795. assign V003368 = V344644 + 1. assign V068785 = V323294 + 1. assign V351889 = V827017. assign V249779 = V881059 + 1. assign V557634 = V651342 - 1. assign V542283 = V002437. assign V079001 = V329171. assign V702602 = V155563 + 1. assign V813067 = V643748 + 1. assign V930147 = V160072. assign V923274 = V762145 - 1. assign V152040 = V338227 - 1. assign V713823 = V604322. assign V593934 = V534509 + 1. assign V324237 = V466532 - 1. assign V354656 = V979010. assign V065239 = V249779 + 1. assign V069247 = V651342 + 1. assign V656424 = V792606 + 1. assign V333656 = V490289 + 1. assign V507734 = V550794 - 1. assign V340953 = V385270 - 1. assign V040439 = V684966 - 1. assign V460152 = V784379. assign V142006 = V035548 - 1. assign V663018 = V866731. assign V717049 = V401518 - 1. assign V986435 = V420370 + 1. assign V155563 = V881059 + 1. assign V632068 = V150453 + 1. assign V213069 = V842509. assign V393827 = V868348 - 1. assign V018285 = V106308 - 1. assign V246104 = V329171 + 1. assign V338227 = V557634. assign V688727 = V068785 - 1. assign V868348 = V069247. assign V257486 = V323294 - 1. assign V542123 = V972064 - 1. assign V676322 = V399769 + 1. assign V634392 = V358264 - 1. assign V361960 = V758614. assign V022119 = V255310. assign V404284 = V452778. assign V146930 = V173374 - 1. assign V675707 = V913215 - 1. assign V954616 = V069247 - 1. assign V356447 = V842509 - 1. assign V671110 = V287315 + 1. assign V716795 = V482673 + 1. assign V674000 = V740013 - 1. assign V269753 = V604322 - 1. assign V169524 = V358264 + 1. assign V637113 = V035548. assign V663608 = V275742 + 1. assign V253992 = V777837 + 1. assign V827017 = V338227. assign V370723 = V660647. assign V583907 = V866731 + 1. assign V762325 = V637113. assign V064321 = V340953. assign V150045 = V031200 + 1. assign V443070 = V502937 - 1. assign V952320 = V762145. assign V063467 = V104760 + 1. assign V974789 = V862784. assign V264172 = V443070 - 1. assign V310593 = V482673 + 1. assign V259415 = V583907. assign V399769 = V557634. assign V030365 = V758614 - 1. assign V077149 = V702602. assign V318427 = V995051 - 1. assign V654670 = V447092. assign V214435 = V690289 - 1. assign V717342 = V756664 - 1. assign V131368 = V381192. assign V241150 = V241694. assign V416405 = V644724 - 1. assign V322713 = V100392. assign V121688 = V758614 - 1. assign V156500 = V842509. assign V801372 = V579800 - 1. assign V900222 = V295106 - 1. assign V695433 = V323294. assign V756397 = V995327. assign V002437 = V044175. assign V407131 = V811442. assign V465510 = V118469. assign V866731 = V255310. assign V401553 = V733946 + 1. assign V245514 = V024917 - 1. assign V798827 = V003739 + 1. assign V631623 = V984775 - 1. assign V406589 = V018285 - 1. assign V255925 = V995264 - 1. assign V295106 = V259415 + 1. assign V193413 = V702602 - 1. assign V490289 = V236285. assign V739988 = V498485 - 1. assign V074134 = V815645 - 1. assign V801590 = V713823 + 1. assign V906865 = V881701. assign V363284 = V099835 - 1. assign V995264 = V104760 - 1. assign V547952 = V069247 + 1. assign V995051 = V634392. assign V759331 = V162278 + 1. assign V902482 = V218156 - 1. assign V179216 = V539036 + 1. assign V690289 = 4. assign V157094 = V571308 - 1. assign V035548 = V842509. assign V622275 = V100392 + 1. assign V544748 = V644724 - 1. assign V811442 = V651342 + 1. assign V179131 = V579800. assign V280790 = V346725 - 1. assign V881059 = V106308 + 1. assign V984048 = V580719 - 1. assign V913215 = V580719 - 1. assign V770334 = V447092 - 1. assign V678426 = V482673 - 1. assign V385270 = V249779 - 1. assign V686229 = V447092 - 1. assign V472924 = V489924 + 1. assign V498485 = V995327. assign V792606 = V232454 + 1. assign V239479 = V624019. assign V927667 = V351889. assign V245267 = V003739 - 1. assign V035772 = V841215. assign V957621 = V474605. assign V995327 = V881701 + 1. assign V758614 = V246104 - 1. assign V601666 = V637113. assign V452778 = V881701. assign V274028 = V604322 - 1. assign V272042 = V257780. assign V106860 = V365144 + 1. assign V173374 = V544748 + 1. assign V136289 = V440070 - 1. assign V502937 = V544174. assign V624019 = V069247. assign V099835 = V236285 - 1. assign V323294 = V399769 - 1. assign V275742 = V726328 - 1. assign V769910 = V044175 + 1. assign V970457 = V259415. assign V571361 = V063467 + 1. assign V602562 = V100392 - 1. assign V160072 = V011356 + 1. assign V762145 = V351889 + 1. assign V440070 = V218156 + 1. assign V241694 = V029080 + 1. assign V440358 = V777837 - 1. assign V025820 = V811442. assign V881701 = V407131 - 1. assign V880371 = V599110 - 1. assign V268910 = V338227. assign V109134 = V580719 - 1. assign V776022 = V422181 + 1. assign V862784 = V018285 - 1. assign V276221 = V762145. assign V706860 = V259415 - 1. assign V464806 = V253992. assign V670915 = V253992 - 1. assign V920123 = V024917. assign V330795 = V356447 + 1. assign V333179 = V310593. assign V860791 = V777837 - 1. assign V984775 = V678426. assign V718620 = V449171. assign V979010 = V756664. assign V981955 = V866731 + 1. assign V433721 = V099835 - 1. assign V129670 = V282120 - 1. assign V660647 = V548386 - 1. assign V579800 = V995327. assign V513311 = V860791. assign V760851 = V995264. assign V045518 = V498485 - 1. assign V156393 = V760851 + 1. assign V024917 = V509926 - 1. assign V920495 = V995264 - 1. assign V248207 = V351889. assign V684966 = V406589. assign V257780 = V624019. assign V252581 = V706860. assign V534514 = V881701 - 1. assign V287315 = V407131. assign V057405 = V255310. assign V733946 = V599110 - 1. assign V320836 = V440070. assign V126296 = V463669 + 1. assign V826247 = V740013 - 1. assign V708724 = V106860 + 1. assign V291392 = V979010. assign V651342 = V236285 + 1. assign V045784 = V866731. assign V401518 = V236285 - 1. assign V571311 = V827017 - 1. assign V776001 = V057405. assign V011356 = V604322 - 1. assign V318912 = V341848. assign V994589 = V953302. assign V671849 = V416405. assign V674773 = V323294 - 1. assign V218156 = V323294 + 1. assign V381192 = V637159. assign V308411 = V717049 - 1. assign V205924 = V338227. assign V783682 = V465510 - 1. assign V548386 = V460152. assign V475507 = V043332 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V449171 = V972064 + 1. assign V329171 = V255310 + 1. assign V643925 = V401019 - 1. assign V031200 = V637159 - 1. assign V286196 = V690289 - 1. assign V138989 = V440070 - 1. assign V065900 = V972064. assign V963457 = V756664. assign V571308 = V815631 + 1. assign V530108 = V079001. assign V282120 = V792606 + 1. assign V425447 = V548386 - 1. assign V344644 = V866731 + 1. assign V405872 = V290429 + 1. assign V509926 = V447092. assign V842509 = V329171 - 1. assign V560257 = V324237 + 1. assign V680207 = V407131 - 1. assign V841215 = V286196. assign V072773 = V118469. assign V389509 = V381192. assign V341561 = V035548 + 1. assign V569349 = V338227 + 1. assign V932001 = V106308 - 1. assign V412939 = V351889 - 1. assign V934704 = V392646 + 1. assign V777837 = V857188 - 1. assign V899289 = V784379 - 1. assign V544174 = V025820. assign V457963 = V880371 - 1. assign V071566 = V330795. assign V953302 = V716795. assign V534509 = V365144 + 1. assign V106308 = V972064 - 1. assign V346725 = V109134 - 1. assign V617476 = V637113 - 1. assign V737382 = V702602. assign V422181 = V599110 - 1. assign V482673 = V599110. assign V780776 = V399769. assign V193877 = V232454 + 1. assign V100392 = V811442. assign V112578 = V249779 - 1. assign V855414 = V440070. assign V951770 = V136289 - 1. assign V084196 = V604322 - 1. assign V138068 = V152040 - 1. assign V153628 = V029080. assign V290429 = V984775 + 1. assign V972064 = V716795 - 1. assign V637159 = V100392 + 1. assign V870798 = V952320. assign V740013 = V676322 - 1. assign V466532 = V557634. assign V104760 = V045784. assign V536892 = V644724 - 1. assign V773853 = V324237 + 1. assign V921929 = V862784 + 1. assign V232454 = V399769 + 1. assign V255310 = V236285 - 1. assign V744647 = V346725 - 1. assign V474605 = V115328 - 1. assign V447092 = V025820. assign V550794 = V560257 + 1. assign V991481 = V002437 + 1. assign V344607 = V507734. assign V539036 = V106308 + 1. assign V468059 = V126296. assign V507659 = V205924 + 1. assign V815645 = V245267 + 1. assign V063043 = V272042 + 1. assign V857188 = V583907. assign V271216 = V972064. assign V948711 = V193877 - 1. assign V118469 = V255310 + 1. assign V040860 = V498485 + 1. assign V052955 = V269753. assign V043332 = V272042. assign V545334 = V169524. assign V841739 = V555790 + 1. assign V988083 = V676322. assign V803903 = V739988 + 1. assign V815631 = V071290 - 1. assign V044175 = V069247. assign V769358 = V121688. assign V563590 = V656424 + 1. assign V259896 = V213069 - 1. assign V785504 = V857188 + 1. assign V290402 = V057405 + 1. assign V162278 = V246104 - 1. assign V115328 = V498485. assign V042777 = V560257 - 1. assign V134700 = V193877. assign V197069 = V106308. assign V784379 = V624019 - 1. assign V703602 = V536892 + 1. assign V489924 = V827017 - 1. assign V325459 = V726328 - 1. assign V599110 = V651342 - 1. assign V566424 = V617476 - 1. assign V589447 = V003739. assign V223857 = V984775 + 1. assign V600613 = V900222. assign V560783 = V077149 - 1. assign V003739 = V599110 - 1. assign V924120 = V072773 + 1. assign V643748 = V465510. assign V142699 = V440358 + 1. assign V071290 = V690289 + 1. assign V029080 = V236285 + 1. assign V555790 = V881059. assign V358264 = V482673 - 1. assign V231145 = V106308 - 1. assign V420370 = V236285 - 1. assign V392646 = V358264 - 1. assign V328505 = V320836 + 1. assign V468206 = V756664 - 1. assign V463669 = V842509 + 1. assign V756664 = V490289 + 1. assign V644724 = V338227 - 1. assign V335758 = V881701. assign V580719 = V356447 - 1. assign V292143 = V406589 - 1. assign V743324 = V249779 - 1. assign V604322 = V651342. assign V364461 = V286196 + 1. assign V373467 = V106860 + 1. assign V150453 = V232454. assign V401019 = V703602 + 1. assign V726328 = V153628 + 1. assign V921132 = V031200 - 1. assign V195799 = V280790 + 1. assign V341848 = V842509. assign V503790 = V544748 - 1. assign V394245 = V617476 - 1. assign V365144 = V716795. assign V003368 = V344644 + 1. assign V068785 = V323294 + 1. assign V351889 = V827017. assign V249779 = V881059 + 1. assign V557634 = V651342 - 1. assign V542283 = V002437. assign V079001 = V329171. assign V702602 = V155563 + 1. assign V813067 = V643748 + 1. assign V930147 = V160072. assign V923274 = V762145 - 1. assign V152040 = V338227 - 1. assign V713823 = V604322. assign V593934 = V534509 + 1. assign V324237 = V466532 - 1. assign V354656 = V979010. assign V065239 = V249779 + 1. assign V069247 = V651342 + 1. assign V656424 = V792606 + 1. assign V333656 = V490289 + 1. assign V507734 = V550794 - 1. assign V340953 = V385270 - 1. assign V040439 = V684966 - 1. assign V460152 = V784379. assign V142006 = V035548 - 1. assign V663018 = V866731. assign V717049 = V401518 - 1. assign V986435 = V420370 + 1. assign V155563 = V881059 + 1. assign V632068 = V150453 + 1. assign V213069 = V842509. assign V393827 = V868348 - 1. assign V018285 = V106308 - 1. assign V246104 = V329171 + 1. assign V338227 = V557634. assign V688727 = V068785 - 1. assign V868348 = V069247. assign V257486 = V323294 - 1. assign V542123 = V972064 - 1. assign V676322 = V399769 + 1. assign V634392 = V358264 - 1. assign V361960 = V758614. assign V022119 = V255310. assign V404284 = V452778. assign V146930 = V173374 - 1. assign V675707 = V913215 - 1. assign V954616 = V069247 - 1. assign V356447 = V842509 - 1. assign V671110 = V287315 + 1. assign V716795 = V482673 + 1. assign V674000 = V740013 - 1. assign V269753 = V604322 - 1. assign V169524 = V358264 + 1. assign V637113 = V035548. assign V663608 = V275742 + 1. assign V253992 = V777837 + 1. assign V827017 = V338227. assign V370723 = V660647. assign V583907 = V866731 + 1. assign V762325 = V637113. assign V064321 = V340953. assign V150045 = V031200 + 1. assign V443070 = V502937 - 1. assign V952320 = V762145. assign V063467 = V104760 + 1. assign V974789 = V862784. assign V264172 = V443070 - 1. assign V310593 = V482673 + 1. assign V259415 = V583907. assign V399769 = V557634. assign V030365 = V758614 - 1. assign V077149 = V702602. assign V318427 = V995051 - 1. assign V654670 = V447092. assign V214435 = V690289 - 1. assign V717342 = V756664 - 1. assign V131368 = V381192. assign V241150 = V241694. assign V416405 = V644724 - 1. assign V322713 = V100392. assign V121688 = V758614 - 1. assign V156500 = V842509. assign V801372 = V579800 - 1. assign V900222 = V295106 - 1. assign V695433 = V323294. assign V756397 = V995327. assign V002437 = V044175. assign V407131 = V811442. assign V465510 = V118469. assign V866731 = V255310. assign V401553 = V733946 + 1. assign V245514 = V024917 - 1. assign V798827 = V003739 + 1. assign V631623 = V984775 - 1. assign V406589 = V018285 - 1. assign V255925 = V995264 - 1. assign V295106 = V259415 + 1. assign V193413 = V702602 - 1. assign V490289 = V236285. assign V739988 = V498485 - 1. assign V074134 = V815645 - 1. assign V801590 = V713823 + 1. assign V906865 = V881701. assign V363284 = V099835 - 1. assign V995264 = V104760 - 1. assign V547952 = V069247 + 1. assign V995051 = V634392. assign V759331 = V162278 + 1. assign V902482 = V218156 - 1. assign V179216 = V539036 + 1. assign V690289 = 4. assign V157094 = V571308 - 1. assign V035548 = V842509. assign V622275 = V100392 + 1. assign V544748 = V644724 - 1. assign V811442 = V651342 + 1. assign V179131 = V579800. assign V280790 = V346725 - 1. assign V881059 = V106308 + 1. assign V984048 = V580719 - 1. assign V913215 = V580719 - 1. assign V770334 = V447092 - 1. assign V678426 = V482673 - 1. assign V385270 = V249779 - 1. assign V686229 = V447092 - 1. assign V472924 = V489924 + 1. assign V498485 = V995327. assign V792606 = V232454 + 1. assign V239479 = V624019. assign V927667 = V351889. assign V245267 = V003739 - 1. assign V035772 = V841215. assign V957621 = V474605. assign V995327 = V881701 + 1. assign V758614 = V246104 - 1. assign V601666 = V637113. assign V452778 = V881701. assign V274028 = V604322 - 1. assign V272042 = V257780. assign V106860 = V365144 + 1. assign V173374 = V544748 + 1. assign V136289 = V440070 - 1. assign V502937 = V544174. assign V624019 = V069247. assign V099835 = V236285 - 1. assign V323294 = V399769 - 1. assign V275742 = V726328 - 1. assign V769910 = V044175 + 1. assign V970457 = V259415. assign V571361 = V063467 + 1. assign V602562 = V100392 - 1. assign V160072 = V011356 + 1. assign V762145 = V351889 + 1. assign V440070 = V218156 + 1. assign V241694 = V029080 + 1. assign V440358 = V777837 - 1. assign V025820 = V811442. assign V881701 = V407131 - 1. assign V880371 = V599110 - 1. assign V268910 = V338227. assign V109134 = V580719 - 1. assign V776022 = V422181 + 1. assign V862784 = V018285 - 1. assign V276221 = V762145. assign V706860 = V259415 - 1. assign V464806 = V253992. assign V670915 = V253992 - 1. assign V920123 = V024917. assign V330795 = V356447 + 1. assign V333179 = V310593. assign V860791 = V777837 - 1. assign V984775 = V678426. assign V718620 = V449171. assign V979010 = V756664. assign V981955 = V866731 + 1. assign V433721 = V099835 - 1. assign V129670 = V282120 - 1. assign V660647 = V548386 - 1. assign V579800 = V995327. assign V513311 = V860791. assign V760851 = V995264. assign V045518 = V498485 - 1. assign V156393 = V760851 + 1. assign V024917 = V509926 - 1. assign V920495 = V995264 - 1. assign V248207 = V351889. assign V684966 = V406589. assign V257780 = V624019. assign V252581 = V706860. assign V534514 = V881701 - 1. assign V287315 = V407131. assign V057405 = V255310. assign V733946 = V599110 - 1. assign V320836 = V440070. assign V126296 = V463669 + 1. assign V826247 = V740013 - 1. assign V708724 = V106860 + 1. assign V291392 = V979010. assign V651342 = V236285 + 1. assign V045784 = V866731. assign V401518 = V236285 - 1. assign V571311 = V827017 - 1. assign V776001 = V057405. assign V011356 = V604322 - 1. assign V318912 = V341848. assign V994589 = V953302. assign V671849 = V416405. assign V674773 = V323294 - 1. assign V218156 = V323294 + 1. assign V381192 = V637159. assign V308411 = V717049 - 1. assign V205924 = V338227. assign V783682 = V465510 - 1. assign V548386 = V460152. assign V475507 = V043332 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV690289 = 4;\n\nFrom these direct assignment(s), we have: \nV214435 = V690289 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V214435;\nV071290 = V690289 + 1 = 4 + 1 =5;\nV815631 = V071290 - 1 = 5 - 1 =4;\nV571308 = V815631 + 1 = 4 + 1 =5;\nV157094 = V571308 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V157094;\nNo other varaibles can be derived from V571308;\nNo other varaibles can be derived from V815631;\nNo other varaibles can be derived from V071290;\nV286196 = V690289 - 1 = 4 - 1 =3;\nV364461 = V286196 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V364461;\nV841215 = V286196 = 3;\nV035772 = V841215 = 3;\nNo other varaibles can be derived from V035772;\nNo other varaibles can be derived from V841215;\nNo other varaibles can be derived from V286196;\nNo other varaibles can be derived from V690289;\n\nNow we have done all the calculations. Derived variables are:\nV690289 = 4;\nV214435 = 3;\nV071290 = 5;\nV815631 = 4;\nV571308 = 5;\nV157094 = 4;\nV286196 = 3;\nV364461 = 4;\nV841215 = 3;\nV035772 = 3;\n\nNow we have finished this problem. ANSWER:\nV690289, V815631, V157094, V364461\n", "role": "assistant" } ]

[ "V626490" ]

[ { "content": "<context>\nassign V130476 = V341996 - 1. assign V015232 = V455907. assign V267042 = V902220 + 1. assign V473994 = V069636 - 1. assign V072065 = V946659 + 1. assign V176207 = V602219 + 1. assign V340515 = V685520. assign V180416 = V197236. assign V162003 = V542643 - 1. assign V348393 = V197236 + 1. assign V319220 = V491948 - 1. assign V868784 = V894008 + 1. assign V408433 = V193714 - 1. assign V762863 = V967092 - 1. assign V067170 = V737618. assign V616314 = V920430 - 1. assign V160589 = V794622 - 1. assign V986263 = V196203. assign V129845 = V031363. assign V034570 = V003983 - 1. assign V722573 = V176207 + 1. assign V353453 = V919108 - 1. assign V856433 = V827131 - 1. assign V392015 = V856433 + 1. assign V670077 = V078899. assign V160439 = V172547 + 1. assign V894008 = V723582. assign V444434 = V109580. assign V656642 = V380726 - 1. assign V541065 = V180416. assign V098378 = V710440. assign V031363 = V946659 - 1. assign V738562 = V203372 - 1. assign V788739 = V755955 - 1. assign V032381 = V708782 - 1. assign V491948 = V172547 + 1. assign V689877 = V072065 + 1. assign V274291 = V799753 + 1. assign V933641 = V803149. assign V375172 = V211270 + 1. assign V602219 = V534146 + 1. assign V295418 = V906005 - 1. assign V862709 = V868784. assign V395215 = V564471 - 1. assign V671700 = V380265 + 1. assign V310090 = V763276 - 1. assign V855969 = V450226. assign V583232 = V953485. assign V264315 = V903277 - 1. assign V289651 = V191710 - 1. assign V377241 = V423421. assign V930453 = V449067 - 1. assign V841532 = V098378. assign V714216 = V903777 + 1. assign V192199 = V349333 + 1. assign V491798 = V319948 + 1. assign V524629 = V475102 + 1. assign V391278 = V602219 + 1. assign V659939 = V894008 - 1. assign V922209 = V675398 - 1. assign V786717 = V854091. assign V903277 = V903777 + 1. assign V316548 = V690230. assign V618358 = V403360 + 1. assign V248471 = V172547 + 1. assign V827131 = V583232 - 1. assign V380726 = V633060 - 1. assign V033392 = V330102 - 1. assign V187402 = V626763 - 1. assign V414246 = V920165 + 1. assign V073731 = V833025 + 1. assign V881315 = V551239. assign V349333 = V129845 - 1. assign V112391 = V000492. assign V281847 = V319948 - 1. assign V985146 = V426769 - 1. assign V427979 = V761731. assign V582330 = V737618. assign V756296 = V238662 - 1. assign V791539 = V231495. assign V595462 = V738562 + 1. assign V763276 = V450226. assign V566217 = V862709. assign V569512 = V112035. assign V197236 = V067170 + 1. assign V449067 = V737618. assign V060172 = V934668 - 1. assign V718562 = V616314 + 1. assign V193714 = V894008 - 1. assign V298818 = V761731 + 1. assign V685520 = V965722 - 1. assign V251615 = V833025. assign V077922 = V633060 + 1. assign V098458 = V330102. assign V728489 = V656122 + 1. assign V343933 = V453098. assign V963827 = V172350. assign V475102 = V799753 - 1. assign V828256 = V137333. assign V953989 = V032806 - 1. assign V317935 = V067170. assign V453098 = V231495 + 1. assign V145214 = V129845 + 1. assign V984062 = V675398 + 1. assign V354839 = V656642. assign V677336 = V073731 + 1. assign V172350 = V634728. assign V762671 = V295418. assign V945920 = V327127 + 1. assign V432082 = V575138. assign V921221 = V603735 - 1. assign V867939 = V332985 + 1. assign V253506 = V072065. assign V833025 = V755955 + 1. assign V106369 = V531328 - 1. assign V011605 = V714216. assign V285570 = V031363 + 1. assign V132598 = V603735 - 1. assign V141362 = V372446 + 1. assign V442191 = V854091 - 1. assign V258911 = V450226. assign V656122 = V827131 - 1. assign V799753 = V903777 - 1. assign V137333 = V659698 + 1. assign V272492 = V577832. assign V577832 = V762863 - 1. assign V045985 = V449067. assign V305134 = V953485 + 1. assign V217374 = V980233. assign V330102 = V217374 - 1. assign V726367 = V903277. assign V416327 = V011605. assign V409409 = V785739. assign V944112 = V319220. assign V041413 = V755955 - 1. assign V854091 = V803522 + 1. assign V825812 = V098378. assign V109580 = V583232 + 1. assign V349810 = V788739. assign V534146 = V449067 + 1. assign V091641 = V654098 - 1. assign V803522 = V903777. assign V150364 = V710440 + 1. assign V107794 = V137333. assign V564182 = V452819 - 1. assign V987017 = V426769 + 1. assign V610024 = V413645 + 1. assign V753919 = V137333 + 1. assign V402330 = V572926 - 1. assign V332985 = V452819. assign V841797 = V189642. assign V708782 = V749729 - 1. assign V654444 = V710440 - 1. assign V423541 = V272492 - 1. assign V452819 = V642184. assign V692258 = V063307 + 1. assign V690230 = V775624. assign V088762 = V965660 - 1. assign V193001 = V755955. assign V960818 = V903277. assign V735142 = V930453 + 1. assign V630091 = 4. assign V835835 = V423421. assign V288432 = V659939 + 1. assign V765182 = V800221 + 1. assign V000492 = V423421. assign V531328 = V760020 - 1. assign V319948 = V423421 + 1. assign V608656 = V883831 + 1. assign V427492 = V735142. assign V885578 = V659939 + 1. assign V411482 = V920430 + 1. assign V231495 = V031363 + 1. assign V591938 = V791539. assign V202525 = V459158 + 1. assign V935167 = V449067 - 1. assign V751139 = V980233. assign V727772 = V756296 + 1. assign V785739 = V203372 + 1. assign V390937 = V459158 - 1. assign V633060 = V285570. assign V279883 = V583232 - 1. assign V627999 = V675398 + 1. assign V675398 = V762863 + 1. assign V098356 = V951345 + 1. assign V571004 = V248471 - 1. assign V991501 = V319948. assign V064937 = V575138 - 1. assign V334712 = V231495 + 1. assign V043230 = V064937. assign V288098 = V524629 + 1. assign V542643 = V630091 + 1. assign V603735 = V967092 + 1. assign V902220 = V011605 - 1. assign V749729 = V248471. assign V041882 = V067170 - 1. assign V765806 = V423421. assign V953076 = V098458. assign V454669 = V577832 - 1. assign V423421 = V803522. assign V253739 = V375172 - 1. assign V439283 = V985146 - 1. assign V369440 = V380265 - 1. assign V951724 = V197236 - 1. assign V953485 = V833025 - 1. assign V652317 = V285570. assign V017391 = V279883 + 1. assign V636369 = V192199 - 1. assign V551916 = V426769 + 1. assign V910825 = V355962. assign V967092 = V582330. assign V626763 = V003983. assign V794622 = V714216 + 1. assign V673907 = V098458 + 1. assign V509576 = V708782. assign V883831 = V603735 + 1. assign V102658 = V946659 - 1. assign V305998 = V642184 - 1. assign V129031 = V921221. assign V003983 = V009361 + 1. assign V386710 = V067170. assign V551239 = V920430 - 1. assign V327143 = V765182 - 1. assign V924730 = V630091 + 1. assign V723463 = V656122. assign V654098 = V196203 + 1. assign V078899 = V378888 - 1. assign V365491 = V130476 + 1. assign V413645 = V775624. assign V044123 = V575138 - 1. assign V501384 = V903277 - 1. assign V800221 = V868784. assign V737618 = V775624 - 1. assign V555501 = V785739 + 1. assign V723582 = V903777 - 1. assign V988083 = V786717 - 1. assign V894784 = V160439 - 1. assign V063307 = V714216. assign V546311 = V475102 + 1. assign V951345 = V078899 - 1. assign V186293 = V642184 - 1. assign V397552 = V089273 - 1. assign V325015 = V267042. assign V455907 = V952781 + 1. assign V279242 = V656642. assign V090369 = V413645 - 1. assign V235820 = V423421 - 1. assign V849468 = V735142 - 1. assign V300314 = V868784. assign V775624 = V903777 + 1. assign V121212 = V737618. assign V803149 = V965722 + 1. assign V572926 = V622200 + 1. assign V710440 = V946659. assign V126062 = V088203 + 1. assign V372446 = V416327 + 1. assign V034336 = V416327 + 1. assign V634728 = V833025. assign V355962 = V602219 + 1. assign V556499 = V841797. assign V068757 = V295418 + 1. assign V392227 = V015232 - 1. assign V007543 = V765182. assign V921193 = V960818 - 1. assign V290280 = V380265. assign V980233 = V003983 - 1. assign V112035 = V833025 + 1. assign V070847 = V172547. assign V233142 = V098378 - 1. assign V032806 = V426769 - 1. assign V334408 = V946659 - 1. assign V682339 = V044123 + 1. assign V678656 = V796820 - 1. assign V009361 = V172547 - 1. assign V196203 = V714216 - 1. assign V234424 = V636369 + 1. assign V762166 = V953989 - 1. assign V426769 = V794622 + 1. assign V380265 = V794622 + 1. assign V172547 = V903777. assign V946659 = V714216 + 1. assign V247144 = V162003. assign V659698 = V710440 - 1. assign V896595 = V186293 + 1. assign V374269 = V231495 - 1. assign V378888 = V180416 + 1. assign V773787 = V009361 - 1. assign V952781 = V172547 - 1. assign V548792 = V160439. assign V555228 = V341996 - 1. assign V564471 = V960818 + 1. assign V641444 = V251615. assign V828953 = V248471 + 1. assign V456573 = V828256 + 1. assign V686210 = V723463. assign V089273 = V765806. assign V203372 = V180416 - 1. assign V897025 = V710440 + 1. assign V540760 = V551239. assign V189642 = V176207 + 1. assign V906005 = V248471 - 1. assign V238662 = V946659 + 1. assign V088203 = V386710 + 1. assign V479373 = V450226. assign V450226 = V009361 - 1. assign V919108 = V799753 - 1. assign V845067 = V426769 + 1. assign V403360 = V319948. assign V444318 = V906005 + 1. assign V965722 = V714216 - 1. assign V796820 = V475102 - 1. assign V755955 = V723582. assign V813643 = V423421 - 1. assign V816729 = V289651 + 1. assign V099177 = V380726 + 1. assign V327127 = V416327. assign V191710 = V856433 - 1. assign V211270 = V327143 + 1. assign V761731 = V099177 + 1. assign V127663 = V894008 + 1. assign V018225 = V319948 - 1. assign V263864 = V670077. assign V832015 = V112391 - 1. assign V341996 = V459158 - 1. assign V750635 = V088762 - 1. assign V821347 = V045985. assign V183514 = V856433. assign V797006 = V671700 + 1. assign V099286 = V710440 - 1. assign V760020 = V542643 - 1. assign V459158 = V449067 + 1. assign V289407 = V045985 + 1. assign V195712 = V391278 + 1. assign V584438 = V235820. assign V069636 = V756296. assign V219478 = V078899 - 1. assign V920430 = V112035. assign V679816 = V634728. assign V622200 = V305998. assign V353752 = V953076 - 1. assign V626490 = V542643 + 1. assign V598211 = V509576 - 1. assign V418723 = V856433 + 1. assign V502728 = V162003 - 1. assign V343456 = V689877 - 1. assign V920165 = V274291. assign V934668 = V193714 - 1. assign V575138 = V129845 - 1. assign V642184 = V952781. assign V965660 = V449067. assign V847154 = V991501.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V130476 = V341996 - 1. assign V015232 = V455907. assign V267042 = V902220 + 1. assign V473994 = V069636 - 1. assign V072065 = V946659 + 1. assign V176207 = V602219 + 1. assign V340515 = V685520. assign V180416 = V197236. assign V162003 = V542643 - 1. assign V348393 = V197236 + 1. assign V319220 = V491948 - 1. assign V868784 = V894008 + 1. assign V408433 = V193714 - 1. assign V762863 = V967092 - 1. assign V067170 = V737618. assign V616314 = V920430 - 1. assign V160589 = V794622 - 1. assign V986263 = V196203. assign V129845 = V031363. assign V034570 = V003983 - 1. assign V722573 = V176207 + 1. assign V353453 = V919108 - 1. assign V856433 = V827131 - 1. assign V392015 = V856433 + 1. assign V670077 = V078899. assign V160439 = V172547 + 1. assign V894008 = V723582. assign V444434 = V109580. assign V656642 = V380726 - 1. assign V541065 = V180416. assign V098378 = V710440. assign V031363 = V946659 - 1. assign V738562 = V203372 - 1. assign V788739 = V755955 - 1. assign V032381 = V708782 - 1. assign V491948 = V172547 + 1. assign V689877 = V072065 + 1. assign V274291 = V799753 + 1. assign V933641 = V803149. assign V375172 = V211270 + 1. assign V602219 = V534146 + 1. assign V295418 = V906005 - 1. assign V862709 = V868784. assign V395215 = V564471 - 1. assign V671700 = V380265 + 1. assign V310090 = V763276 - 1. assign V855969 = V450226. assign V583232 = V953485. assign V264315 = V903277 - 1. assign V289651 = V191710 - 1. assign V377241 = V423421. assign V930453 = V449067 - 1. assign V841532 = V098378. assign V714216 = V903777 + 1. assign V192199 = V349333 + 1. assign V491798 = V319948 + 1. assign V524629 = V475102 + 1. assign V391278 = V602219 + 1. assign V659939 = V894008 - 1. assign V922209 = V675398 - 1. assign V786717 = V854091. assign V903277 = V903777 + 1. assign V316548 = V690230. assign V618358 = V403360 + 1. assign V248471 = V172547 + 1. assign V827131 = V583232 - 1. assign V380726 = V633060 - 1. assign V033392 = V330102 - 1. assign V187402 = V626763 - 1. assign V414246 = V920165 + 1. assign V073731 = V833025 + 1. assign V881315 = V551239. assign V349333 = V129845 - 1. assign V112391 = V000492. assign V281847 = V319948 - 1. assign V985146 = V426769 - 1. assign V427979 = V761731. assign V582330 = V737618. assign V756296 = V238662 - 1. assign V791539 = V231495. assign V595462 = V738562 + 1. assign V763276 = V450226. assign V566217 = V862709. assign V569512 = V112035. assign V197236 = V067170 + 1. assign V449067 = V737618. assign V060172 = V934668 - 1. assign V718562 = V616314 + 1. assign V193714 = V894008 - 1. assign V298818 = V761731 + 1. assign V685520 = V965722 - 1. assign V251615 = V833025. assign V077922 = V633060 + 1. assign V098458 = V330102. assign V728489 = V656122 + 1. assign V343933 = V453098. assign V963827 = V172350. assign V475102 = V799753 - 1. assign V828256 = V137333. assign V953989 = V032806 - 1. assign V317935 = V067170. assign V453098 = V231495 + 1. assign V145214 = V129845 + 1. assign V984062 = V675398 + 1. assign V354839 = V656642. assign V677336 = V073731 + 1. assign V172350 = V634728. assign V762671 = V295418. assign V945920 = V327127 + 1. assign V432082 = V575138. assign V921221 = V603735 - 1. assign V867939 = V332985 + 1. assign V253506 = V072065. assign V833025 = V755955 + 1. assign V106369 = V531328 - 1. assign V011605 = V714216. assign V285570 = V031363 + 1. assign V132598 = V603735 - 1. assign V141362 = V372446 + 1. assign V442191 = V854091 - 1. assign V258911 = V450226. assign V656122 = V827131 - 1. assign V799753 = V903777 - 1. assign V137333 = V659698 + 1. assign V272492 = V577832. assign V577832 = V762863 - 1. assign V045985 = V449067. assign V305134 = V953485 + 1. assign V217374 = V980233. assign V330102 = V217374 - 1. assign V726367 = V903277. assign V416327 = V011605. assign V409409 = V785739. assign V944112 = V319220. assign V041413 = V755955 - 1. assign V854091 = V803522 + 1. assign V825812 = V098378. assign V109580 = V583232 + 1. assign V349810 = V788739. assign V534146 = V449067 + 1. assign V091641 = V654098 - 1. assign V803522 = V903777. assign V150364 = V710440 + 1. assign V107794 = V137333. assign V564182 = V452819 - 1. assign V987017 = V426769 + 1. assign V610024 = V413645 + 1. assign V753919 = V137333 + 1. assign V402330 = V572926 - 1. assign V332985 = V452819. assign V841797 = V189642. assign V708782 = V749729 - 1. assign V654444 = V710440 - 1. assign V423541 = V272492 - 1. assign V452819 = V642184. assign V692258 = V063307 + 1. assign V690230 = V775624. assign V088762 = V965660 - 1. assign V193001 = V755955. assign V960818 = V903277. assign V735142 = V930453 + 1. assign V630091 = 4. assign V835835 = V423421. assign V288432 = V659939 + 1. assign V765182 = V800221 + 1. assign V000492 = V423421. assign V531328 = V760020 - 1. assign V319948 = V423421 + 1. assign V608656 = V883831 + 1. assign V427492 = V735142. assign V885578 = V659939 + 1. assign V411482 = V920430 + 1. assign V231495 = V031363 + 1. assign V591938 = V791539. assign V202525 = V459158 + 1. assign V935167 = V449067 - 1. assign V751139 = V980233. assign V727772 = V756296 + 1. assign V785739 = V203372 + 1. assign V390937 = V459158 - 1. assign V633060 = V285570. assign V279883 = V583232 - 1. assign V627999 = V675398 + 1. assign V675398 = V762863 + 1. assign V098356 = V951345 + 1. assign V571004 = V248471 - 1. assign V991501 = V319948. assign V064937 = V575138 - 1. assign V334712 = V231495 + 1. assign V043230 = V064937. assign V288098 = V524629 + 1. assign V542643 = V630091 + 1. assign V603735 = V967092 + 1. assign V902220 = V011605 - 1. assign V749729 = V248471. assign V041882 = V067170 - 1. assign V765806 = V423421. assign V953076 = V098458. assign V454669 = V577832 - 1. assign V423421 = V803522. assign V253739 = V375172 - 1. assign V439283 = V985146 - 1. assign V369440 = V380265 - 1. assign V951724 = V197236 - 1. assign V953485 = V833025 - 1. assign V652317 = V285570. assign V017391 = V279883 + 1. assign V636369 = V192199 - 1. assign V551916 = V426769 + 1. assign V910825 = V355962. assign V967092 = V582330. assign V626763 = V003983. assign V794622 = V714216 + 1. assign V673907 = V098458 + 1. assign V509576 = V708782. assign V883831 = V603735 + 1. assign V102658 = V946659 - 1. assign V305998 = V642184 - 1. assign V129031 = V921221. assign V003983 = V009361 + 1. assign V386710 = V067170. assign V551239 = V920430 - 1. assign V327143 = V765182 - 1. assign V924730 = V630091 + 1. assign V723463 = V656122. assign V654098 = V196203 + 1. assign V078899 = V378888 - 1. assign V365491 = V130476 + 1. assign V413645 = V775624. assign V044123 = V575138 - 1. assign V501384 = V903277 - 1. assign V800221 = V868784. assign V737618 = V775624 - 1. assign V555501 = V785739 + 1. assign V723582 = V903777 - 1. assign V988083 = V786717 - 1. assign V894784 = V160439 - 1. assign V063307 = V714216. assign V546311 = V475102 + 1. assign V951345 = V078899 - 1. assign V186293 = V642184 - 1. assign V397552 = V089273 - 1. assign V325015 = V267042. assign V455907 = V952781 + 1. assign V279242 = V656642. assign V090369 = V413645 - 1. assign V235820 = V423421 - 1. assign V849468 = V735142 - 1. assign V300314 = V868784. assign V775624 = V903777 + 1. assign V121212 = V737618. assign V803149 = V965722 + 1. assign V572926 = V622200 + 1. assign V710440 = V946659. assign V126062 = V088203 + 1. assign V372446 = V416327 + 1. assign V034336 = V416327 + 1. assign V634728 = V833025. assign V355962 = V602219 + 1. assign V556499 = V841797. assign V068757 = V295418 + 1. assign V392227 = V015232 - 1. assign V007543 = V765182. assign V921193 = V960818 - 1. assign V290280 = V380265. assign V980233 = V003983 - 1. assign V112035 = V833025 + 1. assign V070847 = V172547. assign V233142 = V098378 - 1. assign V032806 = V426769 - 1. assign V334408 = V946659 - 1. assign V682339 = V044123 + 1. assign V678656 = V796820 - 1. assign V009361 = V172547 - 1. assign V196203 = V714216 - 1. assign V234424 = V636369 + 1. assign V762166 = V953989 - 1. assign V426769 = V794622 + 1. assign V380265 = V794622 + 1. assign V172547 = V903777. assign V946659 = V714216 + 1. assign V247144 = V162003. assign V659698 = V710440 - 1. assign V896595 = V186293 + 1. assign V374269 = V231495 - 1. assign V378888 = V180416 + 1. assign V773787 = V009361 - 1. assign V952781 = V172547 - 1. assign V548792 = V160439. assign V555228 = V341996 - 1. assign V564471 = V960818 + 1. assign V641444 = V251615. assign V828953 = V248471 + 1. assign V456573 = V828256 + 1. assign V686210 = V723463. assign V089273 = V765806. assign V203372 = V180416 - 1. assign V897025 = V710440 + 1. assign V540760 = V551239. assign V189642 = V176207 + 1. assign V906005 = V248471 - 1. assign V238662 = V946659 + 1. assign V088203 = V386710 + 1. assign V479373 = V450226. assign V450226 = V009361 - 1. assign V919108 = V799753 - 1. assign V845067 = V426769 + 1. assign V403360 = V319948. assign V444318 = V906005 + 1. assign V965722 = V714216 - 1. assign V796820 = V475102 - 1. assign V755955 = V723582. assign V813643 = V423421 - 1. assign V816729 = V289651 + 1. assign V099177 = V380726 + 1. assign V327127 = V416327. assign V191710 = V856433 - 1. assign V211270 = V327143 + 1. assign V761731 = V099177 + 1. assign V127663 = V894008 + 1. assign V018225 = V319948 - 1. assign V263864 = V670077. assign V832015 = V112391 - 1. assign V341996 = V459158 - 1. assign V750635 = V088762 - 1. assign V821347 = V045985. assign V183514 = V856433. assign V797006 = V671700 + 1. assign V099286 = V710440 - 1. assign V760020 = V542643 - 1. assign V459158 = V449067 + 1. assign V289407 = V045985 + 1. assign V195712 = V391278 + 1. assign V584438 = V235820. assign V069636 = V756296. assign V219478 = V078899 - 1. assign V920430 = V112035. assign V679816 = V634728. assign V622200 = V305998. assign V353752 = V953076 - 1. assign V626490 = V542643 + 1. assign V598211 = V509576 - 1. assign V418723 = V856433 + 1. assign V502728 = V162003 - 1. assign V343456 = V689877 - 1. assign V920165 = V274291. assign V934668 = V193714 - 1. assign V575138 = V129845 - 1. assign V642184 = V952781. assign V965660 = V449067. assign V847154 = V991501.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV630091 = 4;\n\nFrom these direct assignment(s), we have: \nV924730 = V630091 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V924730;\nV542643 = V630091 + 1 = 4 + 1 =5;\nV626490 = V542643 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V626490;\nV760020 = V542643 - 1 = 5 - 1 =4;\nV531328 = V760020 - 1 = 4 - 1 =3;\nV106369 = V531328 - 1 = 3 - 1 =2;\nNo other varaibles can be derived from V106369;\nNo other varaibles can be derived from V531328;\nNo other varaibles can be derived from V760020;\nV162003 = V542643 - 1 = 5 - 1 =4;\nV502728 = V162003 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V502728;\nV247144 = V162003 = 4;\nNo other varaibles can be derived from V247144;\nNo other varaibles can be derived from V162003;\nNo other varaibles can be derived from V542643;\nNo other varaibles can be derived from V630091;\n\nNow we have done all the calculations. Derived variables are:\nV630091 = 4;\nV924730 = 5;\nV542643 = 5;\nV626490 = 6;\nV760020 = 4;\nV531328 = 3;\nV106369 = 2;\nV162003 = 4;\nV502728 = 3;\nV247144 = 4;\n\nNow we have finished this problem. ANSWER:\nV626490\n", "role": "assistant" } ]

[ "V406818", "V656800", "V944923", "V556021" ]

[ { "content": "<context>\nassign V362720 = V155623 + 1. assign V506579 = V920826 + 1. assign V189382 = V851792. assign V623405 = V304538. assign V535395 = V847044 + 1. assign V582113 = V494216 - 1. assign V264602 = V895163. assign V811291 = V433875 - 1. assign V021597 = V296269 - 1. assign V740380 = V650047 - 1. assign V523605 = V239386 + 1. assign V944083 = 1. assign V467685 = V496738. assign V956329 = V984963 - 1. assign V304538 = V851792 + 1. assign V183211 = V438551 + 1. assign V909481 = V650047. assign V357889 = V608285. assign V042076 = V726139 - 1. assign V921551 = V035310. assign V050230 = V765727 + 1. assign V608935 = V043028 + 1. assign V650047 = V698321. assign V036381 = V550093 - 1. assign V592080 = V043028 + 1. assign V160403 = V473617. assign V200225 = V337410 + 1. assign V190831 = V986816 + 1. assign V781813 = V599106. assign V976110 = V362720 - 1. assign V068720 = V094011. assign V430885 = V984607 - 1. assign V329965 = V131535. assign V200051 = V141615 + 1. assign V262214 = V608285. assign V048703 = V234664. assign V041472 = V531015 + 1. assign V737085 = V633101 - 1. assign V597356 = V320428 - 1. assign V986816 = V296269. assign V832396 = V420889 - 1. assign V905929 = V531015 + 1. assign V866466 = V430885 - 1. assign V511573 = V506579. assign V550093 = V405685 + 1. assign V470550 = V392017 - 1. assign V932750 = V847044 - 1. assign V713998 = V843786. assign V634839 = V739824 - 1. assign V241629 = V905929 - 1. assign V857536 = V621437 + 1. assign V307409 = V499621. assign V272223 = V142755 - 1. assign V895163 = V698321 + 1. assign V376190 = V134485 - 1. assign V014738 = V857536 - 1. assign V706994 = V235766 + 1. assign V074839 = V035310. assign V406818 = V944083 - 1. assign V900131 = V358050 + 1. assign V614157 = V899684 - 1. assign V359948 = V149966. assign V462026 = V301512 + 1. assign V535437 = V802617. assign V123662 = V831338. assign V521622 = V737085. assign V420056 = V630550. assign V365072 = V802617. assign V115794 = V289496 + 1. assign V989113 = V620651 + 1. assign V959180 = V698321 + 1. assign V966906 = V837481. assign V556021 = V420232 - 1. assign V474941 = V142755 + 1. assign V973994 = V296269 - 1. assign V358050 = V405685. assign V928438 = V227912 - 1. assign V392017 = V021597. assign V682100 = V215976 - 1. assign V352680 = V182521 - 1. assign V211004 = V333308. assign V730202 = V804395 + 1. assign V444478 = V420056 - 1. assign V843786 = V043028 - 1. assign V131471 = V462026 + 1. assign V909654 = V511573 + 1. assign V420889 = V621437 + 1. assign V134485 = V857536. assign V193964 = V496738. assign V548498 = V986816 - 1. assign V759984 = V582000 + 1. assign V395341 = V620976 + 1. assign V001256 = V289496 - 1. assign V904479 = V804395. assign V923521 = V304787. assign V837481 = V395904 - 1. assign V405629 = V535437 + 1. assign V997501 = V843786 + 1. assign V171175 = V638234 + 1. assign V408570 = V899684 + 1. assign V467063 = V032039 - 1. assign V942763 = V286873 + 1. assign V524392 = V614157 + 1. assign V473617 = V973994 - 1. assign V916599 = V535395 - 1. assign V918827 = V872104. assign V835904 = V422545 + 1. assign V801827 = V400016 - 1. assign V288395 = V092285 + 1. assign V141615 = V171175 - 1. assign V356942 = V620976. assign V244686 = V884321 + 1. assign V708726 = V970979 + 1. assign V015981 = V395341 + 1. assign V838789 = V357889 + 1. assign V970592 = V329965 - 1. assign V944923 = V420232 - 1. assign V220198 = V767210 + 1. assign V728802 = V474941. assign V756844 = V160403. assign V630550 = V467063. assign V711972 = V515201 - 1. assign V106919 = V737085 + 1. assign V892390 = V986816 - 1. assign V845702 = V832396 + 1. assign V170837 = V200225. assign V132377 = V420889 - 1. assign V531015 = V392017. assign V143923 = V499621 - 1. assign V798203 = V074839. assign V664407 = V422545. assign V071328 = V944083 + 1. assign V743456 = V015819. assign V210714 = V737085. assign V033465 = V932750. assign V016197 = V891027. assign V692884 = V304538 - 1. assign V032039 = V986816. assign V048990 = V253985 + 1. assign V234664 = V392017 + 1. assign V337410 = V544755 - 1. assign V620200 = V720067 + 1. assign V434225 = V765727 - 1. assign V333308 = V021597 + 1. assign V200481 = V973994 - 1. assign V936718 = V979360 + 1. assign V729619 = V869450 + 1. assign V589366 = V438551 + 1. assign V802617 = V851792 + 1. assign V334300 = V851792. assign V620651 = V418818. assign V322923 = V909481. assign V532869 = V307409 + 1. assign V403545 = V523605. assign V632994 = V221084. assign V891027 = V189382 - 1. assign V884321 = V155623 + 1. assign V538937 = V221084 + 1. assign V286873 = V687343 - 1. assign V467899 = V132377 - 1. assign V877960 = V515201 - 1. assign V510787 = V526423 - 1. assign V405685 = V920826 + 1. assign V182521 = V304787 + 1. assign V808331 = V737085. assign V831365 = V131471 + 1. assign V656103 = V501633 + 1. assign V796175 = V858418. assign V131535 = V633101. assign V608978 = V701963 + 1. assign V876168 = V182521. assign V701078 = V045605 - 1. assign V045605 = V032039. assign V656800 = V406818. assign V530658 = V438551 + 1. assign V149040 = V470550 - 1. assign V484788 = V272223 + 1. assign V275624 = V296269. assign V506255 = V650047 + 1. assign V338507 = V141615. assign V899684 = V687343. assign V301512 = V257077 - 1. assign V400016 = V286873. assign V099696 = V869450 - 1. assign V237797 = V356942 - 1. assign V544755 = V142755 + 1. assign V587216 = V094011 - 1. assign V920826 = V959180 + 1. assign V253985 = V765727 + 1. assign V792207 = V548498 + 1. assign V815704 = V404922 + 1. assign V960915 = V338507 + 1. assign V239858 = V857536 + 1. assign V847044 = V438551. assign V733342 = V304538 - 1. assign V998327 = V847044. assign V050277 = V919779 - 1. assign V575222 = V691909 - 1. assign V803453 = V016197. assign V750666 = V115794 + 1. assign V827409 = V132377. assign V143303 = V249597 - 1. assign V035310 = V621437. assign V508300 = V400309 + 1. assign V221084 = V257077 + 1. assign V698941 = V149966 - 1. assign V646122 = V136205 + 1. assign V111961 = V448712 + 1. assign V582000 = V909481. assign V239386 = V032039 + 1. assign V136205 = V831338 - 1. assign V513198 = V210714 + 1. assign V950153 = V944083. assign V422827 = V976110 - 1. assign V157929 = V951713. assign V728756 = V638234. assign V475957 = V733342. assign V142755 = V620976 + 1. assign V861012 = V765727. assign V335527 = V071328. assign V302483 = V142741. assign V235766 = V134485 + 1. assign V055950 = V467685 + 1. assign V970979 = V403545 + 1. assign V155623 = V650047. assign V074484 = V499621 + 1. assign V113469 = V599106 + 1. assign V804395 = V920826 - 1. assign V418818 = V035310 + 1. assign V607538 = V302483. assign V633101 = V544755 - 1. assign V266642 = V200225 + 1. assign V547726 = V304538 + 1. assign V496309 = V400309 + 1. assign V289496 = V422545 - 1. assign V295309 = V535437 + 1. assign V501633 = V422827 - 1. assign V422545 = V155623. assign V448109 = V264602. assign V843644 = V395341. assign V951713 = V847044 + 1. assign V765727 = V973994. assign V439679 = V900131. assign V772283 = V014738. assign V220054 = V438551 - 1. assign V851774 = V743916. assign V593216 = V189382 + 1. assign V215976 = V544755 - 1. assign V425282 = V050230. assign V504131 = V304787 + 1. assign V067008 = V630550 - 1. assign V002754 = V404922 + 1. assign V610722 = V876168. assign V608285 = V620976. assign V632450 = V182521. assign V913069 = V899684 - 1. assign V851792 = V726139. assign V309941 = V264602. assign V691909 = V439679 + 1. assign V390774 = V047554. assign V036428 = V587216 - 1. assign V205725 = V322923 + 1. assign V937508 = V548498 + 1. assign V420503 = V352680. assign V515201 = V942763. assign V839571 = V295309. assign V149966 = V365072 + 1. assign V726139 = V356942 + 1. assign V225176 = V851792 + 1. assign V919779 = V920826 + 1. assign V742669 = V286873. assign V213466 = V599106. assign V015819 = V289496 + 1. assign V420232 = V335527 - 1. assign V962980 = V884321 - 1. assign V462769 = V720067 - 1. assign V132936 = V352680 - 1. assign V974543 = V234664 + 1. assign V092285 = V032039. assign V872104 = V973994. assign V041234 = V620200. assign V561401 = V048703 + 1. assign V809954 = V499621. assign V202902 = V620200 - 1. assign V304787 = V183211. assign V400309 = V420889. assign V720490 = V264602 + 1. assign V621437 = V142755 + 1. assign V701963 = V811291 + 1. assign V296269 = V621437 - 1. assign V438551 = V986816 - 1. assign V142741 = V035310 - 1. assign V979360 = V521622 + 1. assign V445062 = V597356 + 1. assign V759581 = V928438. assign V895556 = V015819 + 1. assign V122246 = V357889. assign V620976 = V687343. assign V951669 = V275849 + 1. assign V500648 = V439679 - 1. assign V720067 = V909481 + 1. assign V639197 = V608285 + 1. assign V599106 = V467685 - 1. assign V249597 = V337410 + 1. assign V433875 = V395341 - 1. assign V052404 = V403377 + 1. assign V984607 = V474941 - 1. assign V946047 = V301512. assign V395904 = V227912. assign V947687 = V730202. assign V277825 = V944083. assign V981611 = V337410 + 1. assign V499621 = V608285 - 1. assign V404922 = V438551 + 1. assign V227912 = V304538. assign V118792 = V808331. assign V088655 = V142741 + 1. assign V233714 = V445062 + 1. assign V946909 = V535395 + 1. assign V599276 = V737085. assign V868966 = V422545. assign V448712 = V142755. assign V831338 = V698321 + 1. assign V783867 = V904479 - 1. assign V237400 = V200481 + 1. assign V907587 = V900131. assign V406706 = V831365. assign V531322 = V338507 + 1. assign V739824 = V884321 + 1. assign V526423 = V970979. assign V858418 = V620976. assign V569476 = V272420 + 1. assign V638234 = V433875 + 1. assign V496738 = V221084. assign V257077 = V742669 - 1. assign V275849 = V356942. assign V743916 = V620651. assign V663043 = V639197. assign V272420 = V550093. assign V094011 = V042076 + 1. assign V320428 = V608285 - 1. assign V767210 = V920826 + 1. assign V512450 = V998327. assign V403377 = V569476. assign V560985 = V524392. assign V698321 = V142755. assign V043028 = V920826. assign V047554 = V847044 - 1. assign V984963 = V781813 - 1. assign V869450 = V264602 - 1. assign V494216 = V304538.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V362720 = V155623 + 1. assign V506579 = V920826 + 1. assign V189382 = V851792. assign V623405 = V304538. assign V535395 = V847044 + 1. assign V582113 = V494216 - 1. assign V264602 = V895163. assign V811291 = V433875 - 1. assign V021597 = V296269 - 1. assign V740380 = V650047 - 1. assign V523605 = V239386 + 1. assign V944083 = 1. assign V467685 = V496738. assign V956329 = V984963 - 1. assign V304538 = V851792 + 1. assign V183211 = V438551 + 1. assign V909481 = V650047. assign V357889 = V608285. assign V042076 = V726139 - 1. assign V921551 = V035310. assign V050230 = V765727 + 1. assign V608935 = V043028 + 1. assign V650047 = V698321. assign V036381 = V550093 - 1. assign V592080 = V043028 + 1. assign V160403 = V473617. assign V200225 = V337410 + 1. assign V190831 = V986816 + 1. assign V781813 = V599106. assign V976110 = V362720 - 1. assign V068720 = V094011. assign V430885 = V984607 - 1. assign V329965 = V131535. assign V200051 = V141615 + 1. assign V262214 = V608285. assign V048703 = V234664. assign V041472 = V531015 + 1. assign V737085 = V633101 - 1. assign V597356 = V320428 - 1. assign V986816 = V296269. assign V832396 = V420889 - 1. assign V905929 = V531015 + 1. assign V866466 = V430885 - 1. assign V511573 = V506579. assign V550093 = V405685 + 1. assign V470550 = V392017 - 1. assign V932750 = V847044 - 1. assign V713998 = V843786. assign V634839 = V739824 - 1. assign V241629 = V905929 - 1. assign V857536 = V621437 + 1. assign V307409 = V499621. assign V272223 = V142755 - 1. assign V895163 = V698321 + 1. assign V376190 = V134485 - 1. assign V014738 = V857536 - 1. assign V706994 = V235766 + 1. assign V074839 = V035310. assign V406818 = V944083 - 1. assign V900131 = V358050 + 1. assign V614157 = V899684 - 1. assign V359948 = V149966. assign V462026 = V301512 + 1. assign V535437 = V802617. assign V123662 = V831338. assign V521622 = V737085. assign V420056 = V630550. assign V365072 = V802617. assign V115794 = V289496 + 1. assign V989113 = V620651 + 1. assign V959180 = V698321 + 1. assign V966906 = V837481. assign V556021 = V420232 - 1. assign V474941 = V142755 + 1. assign V973994 = V296269 - 1. assign V358050 = V405685. assign V928438 = V227912 - 1. assign V392017 = V021597. assign V682100 = V215976 - 1. assign V352680 = V182521 - 1. assign V211004 = V333308. assign V730202 = V804395 + 1. assign V444478 = V420056 - 1. assign V843786 = V043028 - 1. assign V131471 = V462026 + 1. assign V909654 = V511573 + 1. assign V420889 = V621437 + 1. assign V134485 = V857536. assign V193964 = V496738. assign V548498 = V986816 - 1. assign V759984 = V582000 + 1. assign V395341 = V620976 + 1. assign V001256 = V289496 - 1. assign V904479 = V804395. assign V923521 = V304787. assign V837481 = V395904 - 1. assign V405629 = V535437 + 1. assign V997501 = V843786 + 1. assign V171175 = V638234 + 1. assign V408570 = V899684 + 1. assign V467063 = V032039 - 1. assign V942763 = V286873 + 1. assign V524392 = V614157 + 1. assign V473617 = V973994 - 1. assign V916599 = V535395 - 1. assign V918827 = V872104. assign V835904 = V422545 + 1. assign V801827 = V400016 - 1. assign V288395 = V092285 + 1. assign V141615 = V171175 - 1. assign V356942 = V620976. assign V244686 = V884321 + 1. assign V708726 = V970979 + 1. assign V015981 = V395341 + 1. assign V838789 = V357889 + 1. assign V970592 = V329965 - 1. assign V944923 = V420232 - 1. assign V220198 = V767210 + 1. assign V728802 = V474941. assign V756844 = V160403. assign V630550 = V467063. assign V711972 = V515201 - 1. assign V106919 = V737085 + 1. assign V892390 = V986816 - 1. assign V845702 = V832396 + 1. assign V170837 = V200225. assign V132377 = V420889 - 1. assign V531015 = V392017. assign V143923 = V499621 - 1. assign V798203 = V074839. assign V664407 = V422545. assign V071328 = V944083 + 1. assign V743456 = V015819. assign V210714 = V737085. assign V033465 = V932750. assign V016197 = V891027. assign V692884 = V304538 - 1. assign V032039 = V986816. assign V048990 = V253985 + 1. assign V234664 = V392017 + 1. assign V337410 = V544755 - 1. assign V620200 = V720067 + 1. assign V434225 = V765727 - 1. assign V333308 = V021597 + 1. assign V200481 = V973994 - 1. assign V936718 = V979360 + 1. assign V729619 = V869450 + 1. assign V589366 = V438551 + 1. assign V802617 = V851792 + 1. assign V334300 = V851792. assign V620651 = V418818. assign V322923 = V909481. assign V532869 = V307409 + 1. assign V403545 = V523605. assign V632994 = V221084. assign V891027 = V189382 - 1. assign V884321 = V155623 + 1. assign V538937 = V221084 + 1. assign V286873 = V687343 - 1. assign V467899 = V132377 - 1. assign V877960 = V515201 - 1. assign V510787 = V526423 - 1. assign V405685 = V920826 + 1. assign V182521 = V304787 + 1. assign V808331 = V737085. assign V831365 = V131471 + 1. assign V656103 = V501633 + 1. assign V796175 = V858418. assign V131535 = V633101. assign V608978 = V701963 + 1. assign V876168 = V182521. assign V701078 = V045605 - 1. assign V045605 = V032039. assign V656800 = V406818. assign V530658 = V438551 + 1. assign V149040 = V470550 - 1. assign V484788 = V272223 + 1. assign V275624 = V296269. assign V506255 = V650047 + 1. assign V338507 = V141615. assign V899684 = V687343. assign V301512 = V257077 - 1. assign V400016 = V286873. assign V099696 = V869450 - 1. assign V237797 = V356942 - 1. assign V544755 = V142755 + 1. assign V587216 = V094011 - 1. assign V920826 = V959180 + 1. assign V253985 = V765727 + 1. assign V792207 = V548498 + 1. assign V815704 = V404922 + 1. assign V960915 = V338507 + 1. assign V239858 = V857536 + 1. assign V847044 = V438551. assign V733342 = V304538 - 1. assign V998327 = V847044. assign V050277 = V919779 - 1. assign V575222 = V691909 - 1. assign V803453 = V016197. assign V750666 = V115794 + 1. assign V827409 = V132377. assign V143303 = V249597 - 1. assign V035310 = V621437. assign V508300 = V400309 + 1. assign V221084 = V257077 + 1. assign V698941 = V149966 - 1. assign V646122 = V136205 + 1. assign V111961 = V448712 + 1. assign V582000 = V909481. assign V239386 = V032039 + 1. assign V136205 = V831338 - 1. assign V513198 = V210714 + 1. assign V950153 = V944083. assign V422827 = V976110 - 1. assign V157929 = V951713. assign V728756 = V638234. assign V475957 = V733342. assign V142755 = V620976 + 1. assign V861012 = V765727. assign V335527 = V071328. assign V302483 = V142741. assign V235766 = V134485 + 1. assign V055950 = V467685 + 1. assign V970979 = V403545 + 1. assign V155623 = V650047. assign V074484 = V499621 + 1. assign V113469 = V599106 + 1. assign V804395 = V920826 - 1. assign V418818 = V035310 + 1. assign V607538 = V302483. assign V633101 = V544755 - 1. assign V266642 = V200225 + 1. assign V547726 = V304538 + 1. assign V496309 = V400309 + 1. assign V289496 = V422545 - 1. assign V295309 = V535437 + 1. assign V501633 = V422827 - 1. assign V422545 = V155623. assign V448109 = V264602. assign V843644 = V395341. assign V951713 = V847044 + 1. assign V765727 = V973994. assign V439679 = V900131. assign V772283 = V014738. assign V220054 = V438551 - 1. assign V851774 = V743916. assign V593216 = V189382 + 1. assign V215976 = V544755 - 1. assign V425282 = V050230. assign V504131 = V304787 + 1. assign V067008 = V630550 - 1. assign V002754 = V404922 + 1. assign V610722 = V876168. assign V608285 = V620976. assign V632450 = V182521. assign V913069 = V899684 - 1. assign V851792 = V726139. assign V309941 = V264602. assign V691909 = V439679 + 1. assign V390774 = V047554. assign V036428 = V587216 - 1. assign V205725 = V322923 + 1. assign V937508 = V548498 + 1. assign V420503 = V352680. assign V515201 = V942763. assign V839571 = V295309. assign V149966 = V365072 + 1. assign V726139 = V356942 + 1. assign V225176 = V851792 + 1. assign V919779 = V920826 + 1. assign V742669 = V286873. assign V213466 = V599106. assign V015819 = V289496 + 1. assign V420232 = V335527 - 1. assign V962980 = V884321 - 1. assign V462769 = V720067 - 1. assign V132936 = V352680 - 1. assign V974543 = V234664 + 1. assign V092285 = V032039. assign V872104 = V973994. assign V041234 = V620200. assign V561401 = V048703 + 1. assign V809954 = V499621. assign V202902 = V620200 - 1. assign V304787 = V183211. assign V400309 = V420889. assign V720490 = V264602 + 1. assign V621437 = V142755 + 1. assign V701963 = V811291 + 1. assign V296269 = V621437 - 1. assign V438551 = V986816 - 1. assign V142741 = V035310 - 1. assign V979360 = V521622 + 1. assign V445062 = V597356 + 1. assign V759581 = V928438. assign V895556 = V015819 + 1. assign V122246 = V357889. assign V620976 = V687343. assign V951669 = V275849 + 1. assign V500648 = V439679 - 1. assign V720067 = V909481 + 1. assign V639197 = V608285 + 1. assign V599106 = V467685 - 1. assign V249597 = V337410 + 1. assign V433875 = V395341 - 1. assign V052404 = V403377 + 1. assign V984607 = V474941 - 1. assign V946047 = V301512. assign V395904 = V227912. assign V947687 = V730202. assign V277825 = V944083. assign V981611 = V337410 + 1. assign V499621 = V608285 - 1. assign V404922 = V438551 + 1. assign V227912 = V304538. assign V118792 = V808331. assign V088655 = V142741 + 1. assign V233714 = V445062 + 1. assign V946909 = V535395 + 1. assign V599276 = V737085. assign V868966 = V422545. assign V448712 = V142755. assign V831338 = V698321 + 1. assign V783867 = V904479 - 1. assign V237400 = V200481 + 1. assign V907587 = V900131. assign V406706 = V831365. assign V531322 = V338507 + 1. assign V739824 = V884321 + 1. assign V526423 = V970979. assign V858418 = V620976. assign V569476 = V272420 + 1. assign V638234 = V433875 + 1. assign V496738 = V221084. assign V257077 = V742669 - 1. assign V275849 = V356942. assign V743916 = V620651. assign V663043 = V639197. assign V272420 = V550093. assign V094011 = V042076 + 1. assign V320428 = V608285 - 1. assign V767210 = V920826 + 1. assign V512450 = V998327. assign V403377 = V569476. assign V560985 = V524392. assign V698321 = V142755. assign V043028 = V920826. assign V047554 = V847044 - 1. assign V984963 = V781813 - 1. assign V869450 = V264602 - 1. assign V494216 = V304538.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV944083 = 1;\n\nFrom these direct assignment(s), we have: \nV277825 = V944083 = 1;\nNo other varaibles can be derived from V277825;\nV950153 = V944083 = 1;\nNo other varaibles can be derived from V950153;\nV071328 = V944083 + 1 = 1 + 1 =2;\nV335527 = V071328 = 2;\nV420232 = V335527 - 1 = 2 - 1 =1;\nV944923 = V420232 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V944923;\nV556021 = V420232 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V556021;\nNo other varaibles can be derived from V420232;\nNo other varaibles can be derived from V335527;\nNo other varaibles can be derived from V071328;\nV406818 = V944083 - 1 = 1 - 1 =0;\nV656800 = V406818 = 0;\nNo other varaibles can be derived from V656800;\nNo other varaibles can be derived from V406818;\nNo other varaibles can be derived from V944083;\n\nNow we have done all the calculations. Derived variables are:\nV944083 = 1;\nV277825 = 1;\nV950153 = 1;\nV071328 = 2;\nV335527 = 2;\nV420232 = 1;\nV944923 = 0;\nV556021 = 0;\nV406818 = 0;\nV656800 = 0;\n\nNow we have finished this problem. ANSWER:\nV944923, V556021, V406818, V656800\n", "role": "assistant" } ]

[ "V410152", "V669056" ]

[ { "content": "<context>\nassign V159953 = V624918 - 1. assign V727067 = V963581. assign V084579 = V473418. assign V428209 = V951856 - 1. assign V264659 = V424246. assign V989191 = V744842 - 1. assign V790600 = V120251 - 1. assign V028998 = V574813. assign V936507 = V023705 + 1. assign V424246 = V719656 - 1. assign V982105 = V174538 + 1. assign V506972 = V686145 - 1. assign V577583 = V686145 + 1. assign V000552 = V756703. assign V987140 = V971579 - 1. assign V997926 = V359203 - 1. assign V666257 = V750279 + 1. assign V410152 = V457096 - 1. assign V810308 = V069173 - 1. assign V991217 = V789543 + 1. assign V574376 = V460916 - 1. assign V806872 = V686145 + 1. assign V332050 = V873902 - 1. assign V641716 = V911168 + 1. assign V734961 = V131486 + 1. assign V922443 = V565391. assign V873123 = V457096 + 1. assign V577554 = V188301. assign V686145 = V841571 + 1. assign V524110 = V023705 + 1. assign V580055 = V413819 - 1. assign V852108 = V381647 + 1. assign V377219 = V995468. assign V866028 = V657434. assign V756703 = V255287. assign V558988 = V509371 - 1. assign V077684 = V188301 + 1. assign V850834 = V358613 - 1. assign V693991 = V168918. assign V954269 = V047930. assign V984135 = V177899 + 1. assign V479039 = V023606 - 1. assign V687575 = V860304 + 1. assign V956075 = V288213 + 1. assign V885747 = V423967. assign V527675 = V068365 - 1. assign V267085 = V351175 - 1. assign V124395 = V574376. assign V052349 = V069173 - 1. assign V470754 = V036947 - 1. assign V921389 = V438498 + 1. assign V942108 = V497823. assign V105823 = V516953. assign V811093 = V023705 - 1. assign V367384 = V888248 - 1. assign V064526 = V290059 - 1. assign V069173 = V657434 - 1. assign V496001 = V563260 - 1. assign V674329 = V373287 - 1. assign V438498 = V243548. assign V853861 = V366063 - 1. assign V031216 = V470754 - 1. assign V974671 = V663478. assign V624918 = V358346 - 1. assign V963581 = V199062. assign V574813 = V188301 - 1. assign V664314 = V727067 - 1. assign V516953 = V209830 - 1. assign V968286 = V592718. assign V047611 = V199062 - 1. assign V002195 = V589678 - 1. assign V020563 = V563260 - 1. assign V938882 = V888248 + 1. assign V566539 = V574813 - 1. assign V768792 = V857431 + 1. assign V911168 = V857431. assign V289736 = V720902 + 1. assign V794020 = V131486 + 1. assign V560813 = V716696 + 1. assign V485650 = V473418 + 1. assign V131026 = V267085 + 1. assign V204162 = V574813 - 1. assign V047930 = V413819 - 1. assign V267279 = V485650. assign V358613 = V473418 - 1. assign V017870 = V806872. assign V447985 = V044435. assign V023606 = V438498. assign V179205 = V468494. assign V290059 = V473418 + 1. assign V717925 = V587173 + 1. assign V163435 = V358613. assign V663478 = V677898 - 1. assign V525611 = V927063. assign V132331 = V841571 + 1. assign V445746 = V052349 + 1. assign V227367 = V413819. assign V043624 = V719752 - 1. assign V101556 = V217591. assign V202783 = V174538 + 1. assign V366897 = V963461 + 1. assign V265217 = V090234. assign V719656 = V243548 - 1. assign V798066 = V290059 + 1. assign V023315 = V202783 + 1. assign V359719 = V227367 + 1. assign V381647 = V719656 + 1. assign V023705 = V243548 + 1. assign V865604 = V497823 + 1. assign V369162 = V060876 - 1. assign V351175 = V565391 - 1. assign V657434 = V664314 + 1. assign V493256 = V963581 - 1. assign V494454 = V131486 + 1. assign V359833 = V701202. assign V873902 = V359468. assign V255287 = V410152 + 1. assign V069331 = V374356 + 1. assign V540003 = V036947 - 1. assign V060876 = V768792. assign V669276 = V264659. assign V736915 = V018260. assign V228312 = V174538 - 1. assign V370398 = V082698 - 1. assign V534986 = V719752 + 1. assign V816626 = V676382 - 1. assign V522281 = V265217 + 1. assign V274424 = V288213 - 1. assign V031655 = V865604. assign V912178 = V682325. assign V493731 = V991217 + 1. assign V273904 = V243548. assign V422134 = V069173 - 1. assign V131486 = V023705 + 1. assign V926808 = V814891. assign V505321 = V028998 + 1. assign V405379 = V339231. assign V120335 = V989850 - 1. assign V155702 = V217865 - 1. assign V007264 = V445746 - 1. assign V995468 = V936507. assign V835744 = V736915 + 1. assign V112865 = V043624. assign V409563 = V682325 + 1. assign V223524 = V031655 - 1. assign V744842 = V678070. assign V359203 = V199062 - 1. assign V566376 = V719752 - 1. assign V270986 = V951856. assign V249649 = V359719 + 1. assign V496747 = V565391 - 1. assign V217591 = V479039 + 1. assign V719752 = V351175 - 1. assign V704661 = V470754 - 1. assign V052919 = V778976. assign V339231 = V036947 + 1. assign V865850 = V975540 - 1. assign V975540 = V999442 - 1. assign V720902 = V565391 - 1. assign V435011 = V199062 - 1. assign V608001 = V069173 + 1. assign V493712 = V435011 - 1. assign V362158 = V110117 - 1. assign V989850 = V029227 + 1. assign V787286 = V704661 + 1. assign V068365 = V028998. assign V243302 = V413819 + 1. assign V506732 = V962303. assign V251871 = V951856 + 1. assign V308006 = V029227. assign V814891 = V267279 + 1. assign V408875 = V351175 + 1. assign V174538 = V243548. assign V758306 = V719752 + 1. assign V838289 = V223524 - 1. assign V778024 = V957428 - 1. assign V609616 = V438498 - 1. assign V445588 = V505321 - 1. assign V860304 = V273904. assign V727212 = V719656 - 1. assign V199963 = V509371 + 1. assign V634165 = V589678 + 1. assign V246289 = V351691 - 1. assign V280448 = V664314 + 1. assign V217865 = V359468. assign V976639 = V339231 + 1. assign V837734 = V374356. assign V969945 = V195043 + 1. assign V478067 = V505321 - 1. assign V907289 = V090234. assign V812193 = V525611. assign V026908 = V516953 + 1. assign V188301 = V574376. assign V090234 = V999442 - 1. assign V351691 = V188301 + 1. assign V259538 = V308006 + 1. assign V551983 = V473418. assign V061898 = V470754 + 1. assign V195043 = V754030. assign V971579 = V682325. assign V648186 = V026908. assign V342418 = V778976 - 1. assign V682325 = V719656 + 1. assign V572104 = V359833. assign V867629 = V682325 - 1. assign V507893 = V120251 - 1. assign V423967 = V026908. assign V678070 = V143272 + 1. assign V276004 = V424134 + 1. assign V534264 = V558988. assign V927063 = V494454 - 1. assign V453968 = V951856 - 1. assign V080358 = V479039 - 1. assign V373287 = V922443. assign V716696 = V359468 - 1. assign V191685 = V077684 + 1. assign V962303 = V047930 + 1. assign V639024 = V922443 - 1. assign V714340 = V540003 - 1. assign V374356 = V719656 - 1. assign V951856 = V243548 + 1. assign V827160 = V269909. assign V269909 = V524110 + 1. assign V619583 = V666257 + 1. assign V587315 = V068365 - 1. assign V457096 = 3. assign V468494 = V949880 + 1. assign V589678 = V177899 + 1. assign V563260 = V090234. assign V427328 = V841571. assign V351456 = V243308. assign V468188 = V132331. assign V802163 = V885747 - 1. assign V177899 = V438498 - 1. assign V750279 = V648186. assign V435071 = V179205 - 1. assign V640288 = V565391. assign V168918 = V359203 - 1. assign V795953 = V686145 - 1. assign V557503 = V756703 + 1. assign V209830 = V473418 - 1. assign V823507 = V574813 + 1. assign V156850 = V506732 - 1. assign V243308 = V701202 - 1. assign V413819 = V963581 - 1. assign V497823 = V565391. assign V349470 = V358613 - 1. assign V190839 = V419620 + 1. assign V750506 = V351175 - 1. assign V710719 = V921389. assign V012809 = V373287 + 1. assign V141300 = V565391. assign V736573 = V366063 - 1. assign V460916 = V413819 + 1. assign V676382 = V423967 + 1. assign V856376 = V750506. assign V899525 = V841571 + 1. assign V401757 = V865850 + 1. assign V957244 = V069173 - 1. assign V947427 = V174538. assign V565391 = V273904 - 1. assign V587728 = V000552. assign V419620 = V664314 + 1. assign V778976 = V031655 - 1. assign V715862 = V989850. assign V864272 = V264659 + 1. assign V814598 = V052349 + 1. assign V016317 = V657434. assign V754030 = V853861. assign V550985 = V921389 + 1. assign V789543 = V090234 - 1. assign V134146 = V852108 - 1. assign V515891 = V995468. assign V392054 = V473418. assign V199062 = V540003 - 1. assign V701202 = V720902 + 1. assign V120251 = V159953 - 1. assign V465923 = V937729 - 1. assign V223774 = V664314. assign V359468 = V999442 + 1. assign V356249 = V209830 - 1. assign V238897 = V574376 - 1. assign V131856 = V624918 - 1. assign V793736 = V447985 + 1. assign V424134 = V997926 + 1. assign V098640 = V468188. assign V547754 = V328874 - 1. assign V018260 = V199062 - 1. assign V587173 = V078553 - 1. assign V036947 = V438498 + 1. assign V835487 = V243548. assign V388124 = V373287 - 1. assign V343344 = V565391 + 1. assign V849275 = V453968. assign V841571 = V470754. assign V949880 = V479039. assign V366063 = V975540. assign V963461 = V947427 - 1. assign V765704 = V217865. assign V029227 = V273904 + 1. assign V957428 = V682325 - 1. assign V993192 = V806872. assign V660124 = V267085 - 1. assign V857431 = V971579 - 1. assign V293414 = V356249. assign V406560 = V505321 + 1. assign V804408 = V369162 + 1. assign V082698 = V438498 - 1. assign V551525 = V023705. assign V476090 = V795953. assign V923363 = V141300 + 1. assign V081820 = V359468. assign V195950 = V047930. assign V937729 = V223774 + 1. assign V718011 = V719656 + 1. assign V063453 = V912178. assign V044435 = V515891 - 1. assign V646397 = V031216. assign V261849 = V912178 - 1. assign V838556 = V143272 + 1. assign V264893 = V293414 + 1. assign V323951 = V515891 - 1. assign V848131 = V274424. assign V888248 = V423967. assign V912186 = V719656. assign V295725 = V188301 + 1. assign V358346 = V359203 + 1. assign V036481 = V413819. assign V677898 = V949880 + 1. assign V328874 = V366063 + 1. assign V291292 = V557503 - 1. assign V477067 = V719656 + 1. assign V577357 = V413819 + 1. assign V705310 = V134146. assign V766787 = V029227. assign V226368 = V640288. assign V288213 = V795953 + 1. assign V473418 = V565391. assign V992000 = V727067 + 1. assign V999442 = V921389. assign V301453 = V634165. assign V415205 = V343344. assign V669056 = V410152. assign V078553 = V592718 - 1. assign V509371 = V366063. assign V672212 = V090234 - 1. assign V110117 = V228312 - 1. assign V143272 = V949880 - 1. assign V263978 = V349470 + 1. assign V083973 = V381647. assign V592718 = V366063 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V159953 = V624918 - 1. assign V727067 = V963581. assign V084579 = V473418. assign V428209 = V951856 - 1. assign V264659 = V424246. assign V989191 = V744842 - 1. assign V790600 = V120251 - 1. assign V028998 = V574813. assign V936507 = V023705 + 1. assign V424246 = V719656 - 1. assign V982105 = V174538 + 1. assign V506972 = V686145 - 1. assign V577583 = V686145 + 1. assign V000552 = V756703. assign V987140 = V971579 - 1. assign V997926 = V359203 - 1. assign V666257 = V750279 + 1. assign V410152 = V457096 - 1. assign V810308 = V069173 - 1. assign V991217 = V789543 + 1. assign V574376 = V460916 - 1. assign V806872 = V686145 + 1. assign V332050 = V873902 - 1. assign V641716 = V911168 + 1. assign V734961 = V131486 + 1. assign V922443 = V565391. assign V873123 = V457096 + 1. assign V577554 = V188301. assign V686145 = V841571 + 1. assign V524110 = V023705 + 1. assign V580055 = V413819 - 1. assign V852108 = V381647 + 1. assign V377219 = V995468. assign V866028 = V657434. assign V756703 = V255287. assign V558988 = V509371 - 1. assign V077684 = V188301 + 1. assign V850834 = V358613 - 1. assign V693991 = V168918. assign V954269 = V047930. assign V984135 = V177899 + 1. assign V479039 = V023606 - 1. assign V687575 = V860304 + 1. assign V956075 = V288213 + 1. assign V885747 = V423967. assign V527675 = V068365 - 1. assign V267085 = V351175 - 1. assign V124395 = V574376. assign V052349 = V069173 - 1. assign V470754 = V036947 - 1. assign V921389 = V438498 + 1. assign V942108 = V497823. assign V105823 = V516953. assign V811093 = V023705 - 1. assign V367384 = V888248 - 1. assign V064526 = V290059 - 1. assign V069173 = V657434 - 1. assign V496001 = V563260 - 1. assign V674329 = V373287 - 1. assign V438498 = V243548. assign V853861 = V366063 - 1. assign V031216 = V470754 - 1. assign V974671 = V663478. assign V624918 = V358346 - 1. assign V963581 = V199062. assign V574813 = V188301 - 1. assign V664314 = V727067 - 1. assign V516953 = V209830 - 1. assign V968286 = V592718. assign V047611 = V199062 - 1. assign V002195 = V589678 - 1. assign V020563 = V563260 - 1. assign V938882 = V888248 + 1. assign V566539 = V574813 - 1. assign V768792 = V857431 + 1. assign V911168 = V857431. assign V289736 = V720902 + 1. assign V794020 = V131486 + 1. assign V560813 = V716696 + 1. assign V485650 = V473418 + 1. assign V131026 = V267085 + 1. assign V204162 = V574813 - 1. assign V047930 = V413819 - 1. assign V267279 = V485650. assign V358613 = V473418 - 1. assign V017870 = V806872. assign V447985 = V044435. assign V023606 = V438498. assign V179205 = V468494. assign V290059 = V473418 + 1. assign V717925 = V587173 + 1. assign V163435 = V358613. assign V663478 = V677898 - 1. assign V525611 = V927063. assign V132331 = V841571 + 1. assign V445746 = V052349 + 1. assign V227367 = V413819. assign V043624 = V719752 - 1. assign V101556 = V217591. assign V202783 = V174538 + 1. assign V366897 = V963461 + 1. assign V265217 = V090234. assign V719656 = V243548 - 1. assign V798066 = V290059 + 1. assign V023315 = V202783 + 1. assign V359719 = V227367 + 1. assign V381647 = V719656 + 1. assign V023705 = V243548 + 1. assign V865604 = V497823 + 1. assign V369162 = V060876 - 1. assign V351175 = V565391 - 1. assign V657434 = V664314 + 1. assign V493256 = V963581 - 1. assign V494454 = V131486 + 1. assign V359833 = V701202. assign V873902 = V359468. assign V255287 = V410152 + 1. assign V069331 = V374356 + 1. assign V540003 = V036947 - 1. assign V060876 = V768792. assign V669276 = V264659. assign V736915 = V018260. assign V228312 = V174538 - 1. assign V370398 = V082698 - 1. assign V534986 = V719752 + 1. assign V816626 = V676382 - 1. assign V522281 = V265217 + 1. assign V274424 = V288213 - 1. assign V031655 = V865604. assign V912178 = V682325. assign V493731 = V991217 + 1. assign V273904 = V243548. assign V422134 = V069173 - 1. assign V131486 = V023705 + 1. assign V926808 = V814891. assign V505321 = V028998 + 1. assign V405379 = V339231. assign V120335 = V989850 - 1. assign V155702 = V217865 - 1. assign V007264 = V445746 - 1. assign V995468 = V936507. assign V835744 = V736915 + 1. assign V112865 = V043624. assign V409563 = V682325 + 1. assign V223524 = V031655 - 1. assign V744842 = V678070. assign V359203 = V199062 - 1. assign V566376 = V719752 - 1. assign V270986 = V951856. assign V249649 = V359719 + 1. assign V496747 = V565391 - 1. assign V217591 = V479039 + 1. assign V719752 = V351175 - 1. assign V704661 = V470754 - 1. assign V052919 = V778976. assign V339231 = V036947 + 1. assign V865850 = V975540 - 1. assign V975540 = V999442 - 1. assign V720902 = V565391 - 1. assign V435011 = V199062 - 1. assign V608001 = V069173 + 1. assign V493712 = V435011 - 1. assign V362158 = V110117 - 1. assign V989850 = V029227 + 1. assign V787286 = V704661 + 1. assign V068365 = V028998. assign V243302 = V413819 + 1. assign V506732 = V962303. assign V251871 = V951856 + 1. assign V308006 = V029227. assign V814891 = V267279 + 1. assign V408875 = V351175 + 1. assign V174538 = V243548. assign V758306 = V719752 + 1. assign V838289 = V223524 - 1. assign V778024 = V957428 - 1. assign V609616 = V438498 - 1. assign V445588 = V505321 - 1. assign V860304 = V273904. assign V727212 = V719656 - 1. assign V199963 = V509371 + 1. assign V634165 = V589678 + 1. assign V246289 = V351691 - 1. assign V280448 = V664314 + 1. assign V217865 = V359468. assign V976639 = V339231 + 1. assign V837734 = V374356. assign V969945 = V195043 + 1. assign V478067 = V505321 - 1. assign V907289 = V090234. assign V812193 = V525611. assign V026908 = V516953 + 1. assign V188301 = V574376. assign V090234 = V999442 - 1. assign V351691 = V188301 + 1. assign V259538 = V308006 + 1. assign V551983 = V473418. assign V061898 = V470754 + 1. assign V195043 = V754030. assign V971579 = V682325. assign V648186 = V026908. assign V342418 = V778976 - 1. assign V682325 = V719656 + 1. assign V572104 = V359833. assign V867629 = V682325 - 1. assign V507893 = V120251 - 1. assign V423967 = V026908. assign V678070 = V143272 + 1. assign V276004 = V424134 + 1. assign V534264 = V558988. assign V927063 = V494454 - 1. assign V453968 = V951856 - 1. assign V080358 = V479039 - 1. assign V373287 = V922443. assign V716696 = V359468 - 1. assign V191685 = V077684 + 1. assign V962303 = V047930 + 1. assign V639024 = V922443 - 1. assign V714340 = V540003 - 1. assign V374356 = V719656 - 1. assign V951856 = V243548 + 1. assign V827160 = V269909. assign V269909 = V524110 + 1. assign V619583 = V666257 + 1. assign V587315 = V068365 - 1. assign V457096 = 3. assign V468494 = V949880 + 1. assign V589678 = V177899 + 1. assign V563260 = V090234. assign V427328 = V841571. assign V351456 = V243308. assign V468188 = V132331. assign V802163 = V885747 - 1. assign V177899 = V438498 - 1. assign V750279 = V648186. assign V435071 = V179205 - 1. assign V640288 = V565391. assign V168918 = V359203 - 1. assign V795953 = V686145 - 1. assign V557503 = V756703 + 1. assign V209830 = V473418 - 1. assign V823507 = V574813 + 1. assign V156850 = V506732 - 1. assign V243308 = V701202 - 1. assign V413819 = V963581 - 1. assign V497823 = V565391. assign V349470 = V358613 - 1. assign V190839 = V419620 + 1. assign V750506 = V351175 - 1. assign V710719 = V921389. assign V012809 = V373287 + 1. assign V141300 = V565391. assign V736573 = V366063 - 1. assign V460916 = V413819 + 1. assign V676382 = V423967 + 1. assign V856376 = V750506. assign V899525 = V841571 + 1. assign V401757 = V865850 + 1. assign V957244 = V069173 - 1. assign V947427 = V174538. assign V565391 = V273904 - 1. assign V587728 = V000552. assign V419620 = V664314 + 1. assign V778976 = V031655 - 1. assign V715862 = V989850. assign V864272 = V264659 + 1. assign V814598 = V052349 + 1. assign V016317 = V657434. assign V754030 = V853861. assign V550985 = V921389 + 1. assign V789543 = V090234 - 1. assign V134146 = V852108 - 1. assign V515891 = V995468. assign V392054 = V473418. assign V199062 = V540003 - 1. assign V701202 = V720902 + 1. assign V120251 = V159953 - 1. assign V465923 = V937729 - 1. assign V223774 = V664314. assign V359468 = V999442 + 1. assign V356249 = V209830 - 1. assign V238897 = V574376 - 1. assign V131856 = V624918 - 1. assign V793736 = V447985 + 1. assign V424134 = V997926 + 1. assign V098640 = V468188. assign V547754 = V328874 - 1. assign V018260 = V199062 - 1. assign V587173 = V078553 - 1. assign V036947 = V438498 + 1. assign V835487 = V243548. assign V388124 = V373287 - 1. assign V343344 = V565391 + 1. assign V849275 = V453968. assign V841571 = V470754. assign V949880 = V479039. assign V366063 = V975540. assign V963461 = V947427 - 1. assign V765704 = V217865. assign V029227 = V273904 + 1. assign V957428 = V682325 - 1. assign V993192 = V806872. assign V660124 = V267085 - 1. assign V857431 = V971579 - 1. assign V293414 = V356249. assign V406560 = V505321 + 1. assign V804408 = V369162 + 1. assign V082698 = V438498 - 1. assign V551525 = V023705. assign V476090 = V795953. assign V923363 = V141300 + 1. assign V081820 = V359468. assign V195950 = V047930. assign V937729 = V223774 + 1. assign V718011 = V719656 + 1. assign V063453 = V912178. assign V044435 = V515891 - 1. assign V646397 = V031216. assign V261849 = V912178 - 1. assign V838556 = V143272 + 1. assign V264893 = V293414 + 1. assign V323951 = V515891 - 1. assign V848131 = V274424. assign V888248 = V423967. assign V912186 = V719656. assign V295725 = V188301 + 1. assign V358346 = V359203 + 1. assign V036481 = V413819. assign V677898 = V949880 + 1. assign V328874 = V366063 + 1. assign V291292 = V557503 - 1. assign V477067 = V719656 + 1. assign V577357 = V413819 + 1. assign V705310 = V134146. assign V766787 = V029227. assign V226368 = V640288. assign V288213 = V795953 + 1. assign V473418 = V565391. assign V992000 = V727067 + 1. assign V999442 = V921389. assign V301453 = V634165. assign V415205 = V343344. assign V669056 = V410152. assign V078553 = V592718 - 1. assign V509371 = V366063. assign V672212 = V090234 - 1. assign V110117 = V228312 - 1. assign V143272 = V949880 - 1. assign V263978 = V349470 + 1. assign V083973 = V381647. assign V592718 = V366063 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV457096 = 3;\n\nFrom these direct assignment(s), we have: \nV873123 = V457096 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V873123;\nV410152 = V457096 - 1 = 3 - 1 =2;\nV669056 = V410152 = 2;\nNo other varaibles can be derived from V669056;\nV255287 = V410152 + 1 = 2 + 1 =3;\nV756703 = V255287 = 3;\nV557503 = V756703 + 1 = 3 + 1 =4;\nV291292 = V557503 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V291292;\nNo other varaibles can be derived from V557503;\nV000552 = V756703 = 3;\nV587728 = V000552 = 3;\nNo other varaibles can be derived from V587728;\nNo other varaibles can be derived from V000552;\nNo other varaibles can be derived from V756703;\nNo other varaibles can be derived from V255287;\nNo other varaibles can be derived from V410152;\nNo other varaibles can be derived from V457096;\n\nNow we have done all the calculations. Derived variables are:\nV457096 = 3;\nV873123 = 4;\nV410152 = 2;\nV669056 = 2;\nV255287 = 3;\nV756703 = 3;\nV557503 = 4;\nV291292 = 3;\nV000552 = 3;\nV587728 = 3;\n\nNow we have finished this problem. ANSWER:\nV410152, V669056\n", "role": "assistant" } ]

[ "V677935" ]

[ { "content": "<context>\nassign V022757 = V817912 + 1. assign V870013 = V454857. assign V673024 = V201263 + 1. assign V057442 = V229854 - 1. assign V062150 = V390042. assign V488122 = V442241. assign V014193 = V907959. assign V248387 = V995771 + 1. assign V845437 = V911396. assign V161158 = V237785. assign V421538 = V323348. assign V831431 = V904122 + 1. assign V032678 = V742275 - 1. assign V953638 = V264567. assign V579090 = V323348. assign V341555 = V194105. assign V310530 = V171006 + 1. assign V681824 = V666847 - 1. assign V677935 = V537389 + 1. assign V723799 = V171006 + 1. assign V244816 = V689572. assign V168909 = V110707. assign V015132 = V897515 + 1. assign V814853 = V830880 - 1. assign V959205 = V409716. assign V561394 = V535305 + 1. assign V839211 = V648186 + 1. assign V134973 = V615213 - 1. assign V956232 = V861584 + 1. assign V424026 = V160681 + 1. assign V837935 = V553700. assign V087986 = V092300. assign V580175 = V666847 + 1. assign V212704 = V648828. assign V294996 = V516427. assign V753147 = V404987. assign V935251 = V648828 - 1. assign V887547 = V092300. assign V514337 = V593268 - 1. assign V744108 = V454857 - 1. assign V314482 = V344977. assign V107559 = V814987 - 1. assign V344977 = V264567 - 1. assign V586754 = V837935 - 1. assign V815856 = V004974 - 1. assign V221588 = V194105 - 1. assign V525406 = V890528. assign V110707 = V427510. assign V210349 = V586754. assign V452218 = V829425. assign V037449 = V802410 - 1. assign V738205 = V347618 - 1. assign V965535 = V001174. assign V547116 = V125359 - 1. assign V881406 = V833184 - 1. assign V777671 = V953638. assign V360967 = V870736. assign V907959 = V041992 - 1. assign V980145 = V310530 - 1. assign V926078 = V553700 - 1. assign V580585 = V666847 + 1. assign V525053 = V935251 - 1. assign V953498 = V995771 - 1. assign V008389 = V344977. assign V041992 = V666847. assign V329000 = V014193. assign V989334 = V194105. assign V034955 = V385119 + 1. assign V375448 = V347618 + 1. assign V153704 = V814987. assign V907606 = V385119. assign V823791 = V541870. assign V936313 = V915245 + 1. assign V658203 = V831431 - 1. assign V585612 = V110707 - 1. assign V030902 = V194105. assign V855538 = V171006 - 1. assign V479870 = V264567. assign V376860 = V170381 - 1. assign V582454 = V397159 + 1. assign V343058 = V753147 + 1. assign V641941 = V615213 + 1. assign V658259 = V030305 - 1. assign V744401 = V343058. assign V809027 = V427510 - 1. assign V327049 = V931211 + 1. assign V909619 = V032678. assign V787342 = V738205. assign V931745 = V421538 + 1. assign V951876 = V205761 - 1. assign V577017 = V814853 + 1. assign V486224 = V457661. assign V870165 = V032678 - 1. assign V088015 = V194105 + 1. assign V863014 = V931211 + 1. assign V637700 = V661224 + 1. assign V543504 = V171006 + 1. assign V108290 = V635493 - 1. assign V900213 = V742275 - 1. assign V153923 = V902542 - 1. assign V152503 = V008389 + 1. assign V492659 = V973539 + 1. assign V397159 = V541870. assign V201263 = V397159 + 1. assign V205761 = V343058 + 1. assign V553700 = V004974 + 1. assign V983176 = V457661 + 1. assign V698019 = V157555 + 1. assign V915245 = V299517. assign V446006 = V890528 + 1. assign V599268 = V890528 + 1. assign V925349 = V845437 - 1. assign V182449 = V212704 - 1. assign V799563 = V264567. assign V135753 = V814987 - 1. assign V051559 = V870165 - 1. assign V049964 = V437198 + 1. assign V977947 = V442241. assign V125359 = V071718 + 1. assign V299517 = V264567. assign V708348 = V593268. assign V516427 = V323348. assign V911396 = V553700 - 1. assign V804105 = V366272. assign V406054 = V913677. assign V310582 = V404987. assign V376912 = V450965 + 1. assign V057570 = V161158 + 1. assign V171006 = V264567 + 1. assign V125178 = V197381 + 1. assign V025077 = V802410 - 1. assign V829425 = 7. assign V056120 = V171006. assign V197381 = V580175 - 1. assign V386294 = V593268. assign V621076 = V041992 - 1. assign V319459 = V087986 + 1. assign V461550 = V427510. assign V070075 = V563665. assign V748220 = V799563 + 1. assign V491493 = V485556 + 1. assign V298705 = V478858 - 1. assign V166772 = V366272 - 1. assign V085040 = V485556 - 1. assign V107101 = V200995 + 1. assign V390042 = V197381 + 1. assign V712081 = V041992. assign V160316 = V323348. assign V061714 = V520634 + 1. assign V480216 = V837935 - 1. assign V864487 = V197381. assign V830880 = V323348 - 1. assign V529842 = V454603. assign V594256 = V563665 + 1. assign V937184 = V343058. assign V004974 = V323348 + 1. assign V157555 = V171006. assign V247345 = V799563 - 1. assign V814987 = V904122 - 1. assign V824696 = V409716 + 1. assign V568884 = V087986. assign V540005 = V580585 - 1. assign V243363 = V442241. assign V661224 = V014193 - 1. assign V666847 = V171006 + 1. assign V186798 = V210349 - 1. assign V890528 = V525420. assign V615213 = V467429. assign V927115 = V965535. assign V411355 = V197381 + 1. assign V805513 = V171006 + 1. assign V160681 = V131134. assign V151956 = V397159. assign V021071 = V640905 + 1. assign V912996 = V157555 + 1. assign V783279 = V837935. assign V530771 = V965535 - 1. assign V001174 = V541870 - 1. assign V639819 = V805513 - 1. assign V021754 = V563665. assign V857907 = V587658. assign V563665 = V973539 - 1. assign V271688 = V021754 - 1. assign V585815 = V864487 + 1. assign V019051 = V637700. assign V502807 = V166772 - 1. assign V194105 = V030305 - 1. assign V978246 = V041992 - 1. assign V237785 = V171006 - 1. assign V640905 = V666847. assign V950134 = V907959 - 1. assign V817912 = V030305 - 1. assign V870736 = V323622. assign V646915 = V319459 + 1. assign V537389 = V442241. assign V117786 = V087986 - 1. assign V990846 = V553700 + 1. assign V531121 = V421538. assign V654336 = V953638 - 1. assign V385119 = V753637. assign V931211 = V390042 + 1. assign V951463 = V323622 + 1. assign V220334 = V775684. assign V849701 = V837935 - 1. assign V802410 = V485556 + 1. assign V618263 = V648186. assign V504767 = V478130 - 1. assign V084459 = V200995 + 1. assign V978116 = V594256 - 1. assign V892214 = V056120 - 1. assign V791117 = V314482. assign V902856 = V654336 + 1. assign V978430 = V753147. assign V946510 = V742275 + 1. assign V200995 = V247345. assign V370506 = V805513 + 1. assign V412857 = V343056 + 1. assign V286094 = V170381. assign V904122 = V454603 - 1. assign V550622 = V427510 + 1. assign V122821 = V092300 + 1. assign V695010 = V030305. assign V557720 = V579090 + 1. assign V808462 = V450965. assign V427510 = V467429. assign V884804 = V197381. assign V457661 = V314482. assign V142478 = V015132 - 1. assign V063033 = V777671 - 1. assign V572660 = V437259. assign V846758 = V271688. assign V689572 = V404987 + 1. assign V902542 = V008389 + 1. assign V941500 = V897515. assign V541444 = V004974 - 1. assign V433019 = V593268 - 1. assign V219568 = V220334 - 1. assign V689392 = V366272 - 1. assign V753637 = V197381. assign V379155 = V271688. assign V957127 = V323348 + 1. assign V974644 = V648186 - 1. assign V982501 = V753147. assign V025535 = V995771. assign V280992 = V131134. assign V958474 = V777671. assign V478130 = V450965. assign V593268 = V479870 + 1. assign V713626 = V831431 + 1. assign V486129 = V870013 + 1. assign V030305 = V467429. assign V256349 = V151956. assign V325240 = V153923 - 1. assign V583336 = V182449 + 1. assign V378776 = V085040 + 1. assign V522716 = V525053. assign V358584 = V814853 - 1. assign V134197 = V454857 - 1. assign V390344 = V599268. assign V644116 = V926078 - 1. assign V616415 = V829425 - 1. assign V897515 = V467429. assign V535305 = V319459 - 1. assign V357986 = V864487 - 1. assign V057593 = V237785 + 1. assign V861584 = V580585 + 1. assign V437259 = V618263 - 1. assign V170381 = V479870. assign V775684 = V299517 + 1. assign V801446 = V673024. assign V397447 = V343058 - 1. assign V131134 = V485556 + 1. assign V323622 = V818718. assign V496968 = V973539. assign V648828 = V197381 + 1. assign V047206 = V153704. assign V343056 = V673024 + 1. assign V995771 = V749312 - 1. assign V624942 = V897515 - 1. assign V099348 = V915892 - 1. assign V967271 = V015132. assign V915892 = V085040 + 1. assign V478858 = V933962. assign V884911 = V314482. assign V913677 = V454603 - 1. assign V378665 = V541870 - 1. assign V520634 = V034955 + 1. assign V831651 = V808462. assign V409716 = V514337. assign V704319 = V775684 - 1. assign V185169 = V001174. assign V806847 = V397159 - 1. assign V138180 = V323348 + 1. assign V933962 = V385119 - 1. assign V323348 = V912996 + 1. assign V830383 = V946510 - 1. assign V114453 = V525420 + 1. assign V450965 = V666847 - 1. assign V812798 = V063033. assign V648186 = V170381 + 1. assign V485556 = V753637 + 1. assign V833184 = V931211. assign V074202 = V580585 + 1. assign V541870 = V580175. assign V437198 = V085040 - 1. assign V445863 = V404987 - 1. assign V166280 = V329000 + 1. assign V726974 = V814853. assign V148352 = V157555 + 1. assign V442241 = V829425. assign V789768 = V525420 + 1. assign V321682 = V256349 + 1. assign V423415 = V170381 + 1. assign V087076 = V805513. assign V587658 = V166772 - 1. assign V719388 = V753147 + 1. assign V765786 = V117786. assign V441651 = V412857 - 1. assign V635493 = V479870 + 1. assign V615918 = V738205 + 1. assign V598165 = V041992. assign V070336 = V904122 + 1. assign V454857 = V478130 + 1. assign V345468 = V160681. assign V106299 = V212704 - 1. assign V071718 = V212704 - 1. assign V851636 = V695010. assign V366272 = V171006. assign V749312 = V171006. assign V229854 = V108290 + 1. assign V525420 = V666847 + 1. assign V423838 = V243363. assign V157896 = V062150 - 1. assign V541372 = V593268. assign V204671 = V912996 - 1. assign V404987 = V264567 - 1. assign V199617 = V967271 - 1. assign V437441 = V032678. assign V973539 = V864487. assign V742275 = V001174 + 1. assign V092300 = V580585. assign V452916 = V673024. assign V467429 = V264567 - 1. assign V261825 = V967271 + 1. assign V454603 = V580585 - 1. assign V951405 = V541372. assign V818718 = V314482 + 1. assign V347618 = V775684. assign V359512 = V478130 - 1. assign V916201 = V775684 + 1. assign V627806 = V618263 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V022757 = V817912 + 1. assign V870013 = V454857. assign V673024 = V201263 + 1. assign V057442 = V229854 - 1. assign V062150 = V390042. assign V488122 = V442241. assign V014193 = V907959. assign V248387 = V995771 + 1. assign V845437 = V911396. assign V161158 = V237785. assign V421538 = V323348. assign V831431 = V904122 + 1. assign V032678 = V742275 - 1. assign V953638 = V264567. assign V579090 = V323348. assign V341555 = V194105. assign V310530 = V171006 + 1. assign V681824 = V666847 - 1. assign V677935 = V537389 + 1. assign V723799 = V171006 + 1. assign V244816 = V689572. assign V168909 = V110707. assign V015132 = V897515 + 1. assign V814853 = V830880 - 1. assign V959205 = V409716. assign V561394 = V535305 + 1. assign V839211 = V648186 + 1. assign V134973 = V615213 - 1. assign V956232 = V861584 + 1. assign V424026 = V160681 + 1. assign V837935 = V553700. assign V087986 = V092300. assign V580175 = V666847 + 1. assign V212704 = V648828. assign V294996 = V516427. assign V753147 = V404987. assign V935251 = V648828 - 1. assign V887547 = V092300. assign V514337 = V593268 - 1. assign V744108 = V454857 - 1. assign V314482 = V344977. assign V107559 = V814987 - 1. assign V344977 = V264567 - 1. assign V586754 = V837935 - 1. assign V815856 = V004974 - 1. assign V221588 = V194105 - 1. assign V525406 = V890528. assign V110707 = V427510. assign V210349 = V586754. assign V452218 = V829425. assign V037449 = V802410 - 1. assign V738205 = V347618 - 1. assign V965535 = V001174. assign V547116 = V125359 - 1. assign V881406 = V833184 - 1. assign V777671 = V953638. assign V360967 = V870736. assign V907959 = V041992 - 1. assign V980145 = V310530 - 1. assign V926078 = V553700 - 1. assign V580585 = V666847 + 1. assign V525053 = V935251 - 1. assign V953498 = V995771 - 1. assign V008389 = V344977. assign V041992 = V666847. assign V329000 = V014193. assign V989334 = V194105. assign V034955 = V385119 + 1. assign V375448 = V347618 + 1. assign V153704 = V814987. assign V907606 = V385119. assign V823791 = V541870. assign V936313 = V915245 + 1. assign V658203 = V831431 - 1. assign V585612 = V110707 - 1. assign V030902 = V194105. assign V855538 = V171006 - 1. assign V479870 = V264567. assign V376860 = V170381 - 1. assign V582454 = V397159 + 1. assign V343058 = V753147 + 1. assign V641941 = V615213 + 1. assign V658259 = V030305 - 1. assign V744401 = V343058. assign V809027 = V427510 - 1. assign V327049 = V931211 + 1. assign V909619 = V032678. assign V787342 = V738205. assign V931745 = V421538 + 1. assign V951876 = V205761 - 1. assign V577017 = V814853 + 1. assign V486224 = V457661. assign V870165 = V032678 - 1. assign V088015 = V194105 + 1. assign V863014 = V931211 + 1. assign V637700 = V661224 + 1. assign V543504 = V171006 + 1. assign V108290 = V635493 - 1. assign V900213 = V742275 - 1. assign V153923 = V902542 - 1. assign V152503 = V008389 + 1. assign V492659 = V973539 + 1. assign V397159 = V541870. assign V201263 = V397159 + 1. assign V205761 = V343058 + 1. assign V553700 = V004974 + 1. assign V983176 = V457661 + 1. assign V698019 = V157555 + 1. assign V915245 = V299517. assign V446006 = V890528 + 1. assign V599268 = V890528 + 1. assign V925349 = V845437 - 1. assign V182449 = V212704 - 1. assign V799563 = V264567. assign V135753 = V814987 - 1. assign V051559 = V870165 - 1. assign V049964 = V437198 + 1. assign V977947 = V442241. assign V125359 = V071718 + 1. assign V299517 = V264567. assign V708348 = V593268. assign V516427 = V323348. assign V911396 = V553700 - 1. assign V804105 = V366272. assign V406054 = V913677. assign V310582 = V404987. assign V376912 = V450965 + 1. assign V057570 = V161158 + 1. assign V171006 = V264567 + 1. assign V125178 = V197381 + 1. assign V025077 = V802410 - 1. assign V829425 = 7. assign V056120 = V171006. assign V197381 = V580175 - 1. assign V386294 = V593268. assign V621076 = V041992 - 1. assign V319459 = V087986 + 1. assign V461550 = V427510. assign V070075 = V563665. assign V748220 = V799563 + 1. assign V491493 = V485556 + 1. assign V298705 = V478858 - 1. assign V166772 = V366272 - 1. assign V085040 = V485556 - 1. assign V107101 = V200995 + 1. assign V390042 = V197381 + 1. assign V712081 = V041992. assign V160316 = V323348. assign V061714 = V520634 + 1. assign V480216 = V837935 - 1. assign V864487 = V197381. assign V830880 = V323348 - 1. assign V529842 = V454603. assign V594256 = V563665 + 1. assign V937184 = V343058. assign V004974 = V323348 + 1. assign V157555 = V171006. assign V247345 = V799563 - 1. assign V814987 = V904122 - 1. assign V824696 = V409716 + 1. assign V568884 = V087986. assign V540005 = V580585 - 1. assign V243363 = V442241. assign V661224 = V014193 - 1. assign V666847 = V171006 + 1. assign V186798 = V210349 - 1. assign V890528 = V525420. assign V615213 = V467429. assign V927115 = V965535. assign V411355 = V197381 + 1. assign V805513 = V171006 + 1. assign V160681 = V131134. assign V151956 = V397159. assign V021071 = V640905 + 1. assign V912996 = V157555 + 1. assign V783279 = V837935. assign V530771 = V965535 - 1. assign V001174 = V541870 - 1. assign V639819 = V805513 - 1. assign V021754 = V563665. assign V857907 = V587658. assign V563665 = V973539 - 1. assign V271688 = V021754 - 1. assign V585815 = V864487 + 1. assign V019051 = V637700. assign V502807 = V166772 - 1. assign V194105 = V030305 - 1. assign V978246 = V041992 - 1. assign V237785 = V171006 - 1. assign V640905 = V666847. assign V950134 = V907959 - 1. assign V817912 = V030305 - 1. assign V870736 = V323622. assign V646915 = V319459 + 1. assign V537389 = V442241. assign V117786 = V087986 - 1. assign V990846 = V553700 + 1. assign V531121 = V421538. assign V654336 = V953638 - 1. assign V385119 = V753637. assign V931211 = V390042 + 1. assign V951463 = V323622 + 1. assign V220334 = V775684. assign V849701 = V837935 - 1. assign V802410 = V485556 + 1. assign V618263 = V648186. assign V504767 = V478130 - 1. assign V084459 = V200995 + 1. assign V978116 = V594256 - 1. assign V892214 = V056120 - 1. assign V791117 = V314482. assign V902856 = V654336 + 1. assign V978430 = V753147. assign V946510 = V742275 + 1. assign V200995 = V247345. assign V370506 = V805513 + 1. assign V412857 = V343056 + 1. assign V286094 = V170381. assign V904122 = V454603 - 1. assign V550622 = V427510 + 1. assign V122821 = V092300 + 1. assign V695010 = V030305. assign V557720 = V579090 + 1. assign V808462 = V450965. assign V427510 = V467429. assign V884804 = V197381. assign V457661 = V314482. assign V142478 = V015132 - 1. assign V063033 = V777671 - 1. assign V572660 = V437259. assign V846758 = V271688. assign V689572 = V404987 + 1. assign V902542 = V008389 + 1. assign V941500 = V897515. assign V541444 = V004974 - 1. assign V433019 = V593268 - 1. assign V219568 = V220334 - 1. assign V689392 = V366272 - 1. assign V753637 = V197381. assign V379155 = V271688. assign V957127 = V323348 + 1. assign V974644 = V648186 - 1. assign V982501 = V753147. assign V025535 = V995771. assign V280992 = V131134. assign V958474 = V777671. assign V478130 = V450965. assign V593268 = V479870 + 1. assign V713626 = V831431 + 1. assign V486129 = V870013 + 1. assign V030305 = V467429. assign V256349 = V151956. assign V325240 = V153923 - 1. assign V583336 = V182449 + 1. assign V378776 = V085040 + 1. assign V522716 = V525053. assign V358584 = V814853 - 1. assign V134197 = V454857 - 1. assign V390344 = V599268. assign V644116 = V926078 - 1. assign V616415 = V829425 - 1. assign V897515 = V467429. assign V535305 = V319459 - 1. assign V357986 = V864487 - 1. assign V057593 = V237785 + 1. assign V861584 = V580585 + 1. assign V437259 = V618263 - 1. assign V170381 = V479870. assign V775684 = V299517 + 1. assign V801446 = V673024. assign V397447 = V343058 - 1. assign V131134 = V485556 + 1. assign V323622 = V818718. assign V496968 = V973539. assign V648828 = V197381 + 1. assign V047206 = V153704. assign V343056 = V673024 + 1. assign V995771 = V749312 - 1. assign V624942 = V897515 - 1. assign V099348 = V915892 - 1. assign V967271 = V015132. assign V915892 = V085040 + 1. assign V478858 = V933962. assign V884911 = V314482. assign V913677 = V454603 - 1. assign V378665 = V541870 - 1. assign V520634 = V034955 + 1. assign V831651 = V808462. assign V409716 = V514337. assign V704319 = V775684 - 1. assign V185169 = V001174. assign V806847 = V397159 - 1. assign V138180 = V323348 + 1. assign V933962 = V385119 - 1. assign V323348 = V912996 + 1. assign V830383 = V946510 - 1. assign V114453 = V525420 + 1. assign V450965 = V666847 - 1. assign V812798 = V063033. assign V648186 = V170381 + 1. assign V485556 = V753637 + 1. assign V833184 = V931211. assign V074202 = V580585 + 1. assign V541870 = V580175. assign V437198 = V085040 - 1. assign V445863 = V404987 - 1. assign V166280 = V329000 + 1. assign V726974 = V814853. assign V148352 = V157555 + 1. assign V442241 = V829425. assign V789768 = V525420 + 1. assign V321682 = V256349 + 1. assign V423415 = V170381 + 1. assign V087076 = V805513. assign V587658 = V166772 - 1. assign V719388 = V753147 + 1. assign V765786 = V117786. assign V441651 = V412857 - 1. assign V635493 = V479870 + 1. assign V615918 = V738205 + 1. assign V598165 = V041992. assign V070336 = V904122 + 1. assign V454857 = V478130 + 1. assign V345468 = V160681. assign V106299 = V212704 - 1. assign V071718 = V212704 - 1. assign V851636 = V695010. assign V366272 = V171006. assign V749312 = V171006. assign V229854 = V108290 + 1. assign V525420 = V666847 + 1. assign V423838 = V243363. assign V157896 = V062150 - 1. assign V541372 = V593268. assign V204671 = V912996 - 1. assign V404987 = V264567 - 1. assign V199617 = V967271 - 1. assign V437441 = V032678. assign V973539 = V864487. assign V742275 = V001174 + 1. assign V092300 = V580585. assign V452916 = V673024. assign V467429 = V264567 - 1. assign V261825 = V967271 + 1. assign V454603 = V580585 - 1. assign V951405 = V541372. assign V818718 = V314482 + 1. assign V347618 = V775684. assign V359512 = V478130 - 1. assign V916201 = V775684 + 1. assign V627806 = V618263 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV829425 = 7;\n\nFrom these direct assignment(s), we have: \nV442241 = V829425 = 7;\nV537389 = V442241 = 7;\nV677935 = V537389 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V677935;\nNo other varaibles can be derived from V537389;\nV243363 = V442241 = 7;\nV423838 = V243363 = 7;\nNo other varaibles can be derived from V423838;\nNo other varaibles can be derived from V243363;\nV977947 = V442241 = 7;\nNo other varaibles can be derived from V977947;\nV488122 = V442241 = 7;\nNo other varaibles can be derived from V488122;\nNo other varaibles can be derived from V442241;\nV616415 = V829425 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V616415;\nV452218 = V829425 = 7;\nNo other varaibles can be derived from V452218;\nNo other varaibles can be derived from V829425;\n\nNow we have done all the calculations. Derived variables are:\nV829425 = 7;\nV442241 = 7;\nV537389 = 7;\nV677935 = 8;\nV243363 = 7;\nV423838 = 7;\nV977947 = 7;\nV488122 = 7;\nV616415 = 6;\nV452218 = 7;\n\nNow we have finished this problem. ANSWER:\nV677935\n", "role": "assistant" } ]

[ "V370483", "V509714", "V264291", "V135113" ]

[ { "content": "<context>\nassign V176195 = V443672. assign V068088 = V370483 + 1. assign V680205 = V784693 - 1. assign V568544 = V540286 - 1. assign V526104 = V254082. assign V608719 = V566146 + 1. assign V312941 = V425025. assign V316115 = V370483 - 1. assign V034938 = V538634 + 1. assign V540286 = V559274 - 1. assign V293346 = V312941 - 1. assign V140999 = V142262 - 1. assign V026727 = V703091 + 1. assign V750872 = V333625 + 1. assign V906433 = V944353 + 1. assign V796241 = V902914. assign V487207 = V453624. assign V005112 = V090306. assign V184519 = V703091. assign V343827 = V052691 - 1. assign V210375 = V302813 + 1. assign V604478 = V593461 - 1. assign V107204 = V425025 + 1. assign V816272 = V551786. assign V225964 = V045983 - 1. assign V984959 = V495821 - 1. assign V175323 = V165643 - 1. assign V423314 = V087187 - 1. assign V025203 = V196259 - 1. assign V503490 = V453624. assign V571956 = V684543. assign V136294 = V071684 - 1. assign V789337 = V655450. assign V302813 = V662558 + 1. assign V241701 = V569498 - 1. assign V342889 = V551786 - 1. assign V090306 = V610601 + 1. assign V406672 = V084528 - 1. assign V054350 = V541224 + 1. assign V188715 = V309256 - 1. assign V254082 = V425025. assign V415132 = V005112 + 1. assign V776279 = V416169 - 1. assign V107715 = V593461 - 1. assign V852269 = V005112 + 1. assign V649655 = V115399 - 1. assign V241652 = V025203. assign V920206 = V736779. assign V135113 = V509714. assign V279406 = V482437 - 1. assign V427349 = V610601. assign V429852 = V632698. assign V498695 = V853399. assign V506762 = V195780. assign V533396 = V089654 + 1. assign V091050 = V680205. assign V304320 = V370483 - 1. assign V511779 = V084528 - 1. assign V726098 = V655450. assign V752988 = V068088. assign V853399 = V839369 + 1. assign V148667 = V501303 - 1. assign V680832 = V662558. assign V972705 = V507426. assign V918026 = V736779. assign V208648 = V070525 + 1. assign V135468 = V839369 + 1. assign V243579 = V165643 + 1. assign V353104 = V950159 + 1. assign V283427 = V313249 - 1. assign V243524 = V997946 + 1. assign V586737 = V610601 + 1. assign V571216 = V971474 + 1. assign V631417 = V973614. assign V684543 = V487207 + 1. assign V803375 = V734145 - 1. assign V931511 = V142262 - 1. assign V685218 = V026727 - 1. assign V587884 = V445698. assign V416169 = V951645 - 1. assign V928539 = V175323 - 1. assign V804330 = V398875. assign V739379 = V478317. assign V657561 = V218846 + 1. assign V604923 = V135468. assign V667210 = V328247 + 1. assign V971589 = V743047 + 1. assign V535341 = V698332. assign V769416 = V569498 - 1. assign V839369 = V176615 + 1. assign V087187 = V179591 - 1. assign V002937 = V206775. assign V330976 = V487207 + 1. assign V327972 = V425025 - 1. assign V902914 = V037303. assign V264291 = V370483. assign V541224 = V241652 - 1. assign V266356 = V246854 + 1. assign V019598 = V618384 - 1. assign V959044 = V655450. assign V988744 = V044632 - 1. assign V133579 = V206775 - 1. assign V256460 = V297852 + 1. assign V057068 = V495821. assign V994880 = V685218 + 1. assign V927314 = V147297. assign V736465 = V298082 - 1. assign V147580 = V685218. assign V313060 = V975737. assign V698332 = V055599 + 1. assign V987834 = V227088 - 1. assign V048658 = V958091. assign V462187 = V179591. assign V672608 = V951645 + 1. assign V688988 = V950159. assign V507426 = V743047 - 1. assign V635888 = V210375 + 1. assign V028042 = V684150 - 1. assign V272369 = V789337. assign V495821 = V958091 - 1. assign V589434 = V353104 - 1. assign V298082 = V734145. assign V634461 = V308548. assign V148532 = V680832. assign V569498 = V037303. assign V089654 = V604808 - 1. assign V908851 = V048658 + 1. assign V498805 = V610601 + 1. assign V133517 = V994880. assign V308941 = V415132. assign V369352 = V517859. assign V756705 = V657561. assign V316184 = V355135 + 1. assign V090494 = V943248 - 1. assign V464865 = V312941. assign V684150 = V680205. assign V185436 = V342889 + 1. assign V218846 = V070594 + 1. assign V445698 = V501303 + 1. assign V870699 = V356045. assign V911842 = V958091 - 1. assign V632698 = V571956. assign V227088 = V243524 + 1. assign V911465 = V194953 - 1. assign V370483 = 5. assign V443672 = V165643. assign V042920 = V087187 + 1. assign V206775 = V298082 - 1. assign V328247 = V153627 + 1. assign V386122 = V070105 + 1. assign V551786 = V482437. assign V012360 = V610601 - 1. assign V726074 = V902786 - 1. assign V616082 = V268086. assign V230527 = V573515 + 1. assign V836399 = V328996 - 1. assign V328996 = V618384 + 1. assign V165643 = V482437 + 1. assign V451491 = V586737. assign V902781 = V897482 - 1. assign V036941 = V971474 + 1. assign V070594 = V425025 - 1. assign V620361 = V451491. assign V699509 = V620361 - 1. assign V325154 = V147580 - 1. assign V911356 = V147580 + 1. assign V945658 = V457998 + 1. assign V939019 = V540286 + 1. assign V820900 = V425025 - 1. assign V559274 = V851782 + 1. assign V155507 = V171965 + 1. assign V579808 = V026727 - 1. assign V444881 = V662558 - 1. assign V194370 = V680832 + 1. assign V646853 = V495821 - 1. assign V309256 = V593461 - 1. assign V124489 = V350609 - 1. assign V308548 = V353104. assign V649102 = V176615 + 1. assign V761033 = V312447. assign V420943 = V971589 - 1. assign V467168 = V538634 + 1. assign V659293 = V478317. assign V045983 = V425025 - 1. assign V078638 = V070594 - 1. assign V325119 = V997946 - 1. assign V500814 = V453624. assign V767196 = V632698. assign V385496 = V498805 + 1. assign V036943 = V971474 - 1. assign V975737 = V298082 - 1. assign V728008 = V943248 + 1. assign V886095 = V227088 + 1. assign V245363 = V478317 - 1. assign V881528 = V398875 - 1. assign V728403 = V820900 + 1. assign V223065 = V254082 + 1. assign V802251 = V611319 + 1. assign V226323 = V818416 - 1. assign V195780 = V276303 + 1. assign V239679 = V115399 - 1. assign V756989 = V739924. assign V997946 = V425025 - 1. assign V325863 = V958091. assign V414836 = V958091 - 1. assign V106086 = V355135. assign V055599 = V309256 - 1. assign V334531 = V063031 + 1. assign V164192 = V803375 + 1. assign V980077 = V610601 - 1. assign V454729 = V423314. assign V062633 = V453624. assign V703091 = V025203 - 1. assign V509714 = V370483. assign V916794 = V503490 + 1. assign V230236 = V684150 + 1. assign V821601 = V225964. assign V901460 = V526104 + 1. assign V971474 = V451491. assign V037246 = V848750 + 1. assign V752537 = V084528 - 1. assign V355135 = V734145 - 1. assign V001691 = V997946. assign V792649 = V897482 - 1. assign V655450 = V276303. assign V342348 = V070105 + 1. assign V074993 = V398875 + 1. assign V951645 = V467168 - 1. assign V352631 = V298082 - 1. assign V169214 = V959044 - 1. assign V950159 = V147580 + 1. assign V618384 = V140999 - 1. assign V425025 = V734145 - 1. assign V611319 = V551786 + 1. assign V730875 = V916794 - 1. assign V736779 = V743047 - 1. assign V194953 = V944353 + 1. assign V226007 = V019598. assign V851782 = V254082 - 1. assign V070105 = V090306 + 1. assign V312447 = V355135. assign V196259 = V165643 + 1. assign V690477 = V025203 + 1. assign V280260 = V057068. assign V739924 = V734145 + 1. assign V134361 = V818416 - 1. assign V897482 = V425025 - 1. assign V083649 = V487207 + 1. assign V528906 = V024982 + 1. assign V824056 = V661150 - 1. assign V662558 = V958091 + 1. assign V276303 = V897482 + 1. assign V928125 = V500814 - 1. assign V758662 = V048658. assign V457998 = V848750. assign V761123 = V569498 - 1. assign V958091 = V241652 - 1. assign V772427 = V586737 + 1. assign V082983 = V353104 - 1. assign V938989 = V425025 - 1. assign V705327 = V077043 - 1. assign V898321 = V802251. assign V784693 = V739924 - 1. assign V356045 = V538634. assign V077043 = V743047 - 1. assign V566146 = V611319 - 1. assign V496287 = V852269 + 1. assign V944353 = V325863 - 1. assign V508132 = V534002. assign V866062 = V509714 + 1. assign V610601 = V661150 + 1. assign V534002 = V135468 + 1. assign V726107 = V734145 - 1. assign V519171 = V680205 - 1. assign V020431 = V206775 + 1. assign V246854 = V176615. assign V142262 = V705327 - 1. assign V519882 = V208921. assign V701815 = V478317 - 1. assign V933874 = V443672. assign V925878 = V482437 - 1. assign V935594 = V478317 - 1. assign V402124 = V701815 + 1. assign V983002 = V045983 + 1. assign V501673 = V218846 - 1. assign V236038 = V659293 + 1. assign V990703 = V761033 + 1. assign V882063 = V243579 + 1. assign V094066 = V208921 - 1. assign V661150 = V734145. assign V063031 = V206775 + 1. assign V350609 = V659293. assign V321881 = V897482 + 1. assign V084528 = V897482 - 1. assign V453624 = V734145. assign V367304 = V048658 - 1. assign V115399 = V451491 - 1. assign V070525 = V655450 - 1. assign V517859 = V620361 + 1. assign V096260 = V616082 - 1. assign V208921 = V611319. assign V897697 = V453624. assign V271882 = V491826. assign V325248 = V655450 + 1. assign V818416 = V739924 + 1. assign V297852 = V241652 - 1. assign V478317 = V045983. assign V398875 = V352631 + 1. assign V789104 = V276303. assign V153627 = V236038 + 1. assign V538634 = V971589 + 1. assign V973614 = V171965 + 1. assign V491826 = V425025. assign V147297 = V752537 + 1. assign V212596 = V620361 - 1. assign V313249 = V988744. assign V160893 = V071684. assign V126516 = V792649 - 1. assign V037303 = V958091. assign V052691 = V297852 - 1. assign V501303 = V398875 + 1. assign V943248 = V165643 + 1. assign V848750 = V091050 - 1. assign V863755 = V501303 - 1. assign V902786 = V684543 + 1. assign V604808 = V559274. assign V833094 = V316115 - 1. assign V171965 = V610601. assign V951688 = V218846 - 1. assign V593461 = V897482 + 1. assign V573515 = V133579. assign V482437 = V045983 + 1. assign V321093 = V784693 - 1. assign V743047 = V298082 + 1. assign V547693 = V425025 + 1. assign V762115 = V206775 - 1. assign V176615 = V478317. assign V125101 = V789337 + 1. assign V268086 = V478317. assign V355792 = V951688. assign V044632 = V743047 - 1. assign V024982 = V495821 - 1. assign V626702 = V225964 - 1. assign V620148 = V024982 - 1. assign V950387 = V789337. assign V373440 = V115399 + 1. assign V071684 = V608719 + 1. assign V179591 = V661150 - 1. assign V864422 = V902914. assign V333625 = V179591. assign V427441 = V245363 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V176195 = V443672. assign V068088 = V370483 + 1. assign V680205 = V784693 - 1. assign V568544 = V540286 - 1. assign V526104 = V254082. assign V608719 = V566146 + 1. assign V312941 = V425025. assign V316115 = V370483 - 1. assign V034938 = V538634 + 1. assign V540286 = V559274 - 1. assign V293346 = V312941 - 1. assign V140999 = V142262 - 1. assign V026727 = V703091 + 1. assign V750872 = V333625 + 1. assign V906433 = V944353 + 1. assign V796241 = V902914. assign V487207 = V453624. assign V005112 = V090306. assign V184519 = V703091. assign V343827 = V052691 - 1. assign V210375 = V302813 + 1. assign V604478 = V593461 - 1. assign V107204 = V425025 + 1. assign V816272 = V551786. assign V225964 = V045983 - 1. assign V984959 = V495821 - 1. assign V175323 = V165643 - 1. assign V423314 = V087187 - 1. assign V025203 = V196259 - 1. assign V503490 = V453624. assign V571956 = V684543. assign V136294 = V071684 - 1. assign V789337 = V655450. assign V302813 = V662558 + 1. assign V241701 = V569498 - 1. assign V342889 = V551786 - 1. assign V090306 = V610601 + 1. assign V406672 = V084528 - 1. assign V054350 = V541224 + 1. assign V188715 = V309256 - 1. assign V254082 = V425025. assign V415132 = V005112 + 1. assign V776279 = V416169 - 1. assign V107715 = V593461 - 1. assign V852269 = V005112 + 1. assign V649655 = V115399 - 1. assign V241652 = V025203. assign V920206 = V736779. assign V135113 = V509714. assign V279406 = V482437 - 1. assign V427349 = V610601. assign V429852 = V632698. assign V498695 = V853399. assign V506762 = V195780. assign V533396 = V089654 + 1. assign V091050 = V680205. assign V304320 = V370483 - 1. assign V511779 = V084528 - 1. assign V726098 = V655450. assign V752988 = V068088. assign V853399 = V839369 + 1. assign V148667 = V501303 - 1. assign V680832 = V662558. assign V972705 = V507426. assign V918026 = V736779. assign V208648 = V070525 + 1. assign V135468 = V839369 + 1. assign V243579 = V165643 + 1. assign V353104 = V950159 + 1. assign V283427 = V313249 - 1. assign V243524 = V997946 + 1. assign V586737 = V610601 + 1. assign V571216 = V971474 + 1. assign V631417 = V973614. assign V684543 = V487207 + 1. assign V803375 = V734145 - 1. assign V931511 = V142262 - 1. assign V685218 = V026727 - 1. assign V587884 = V445698. assign V416169 = V951645 - 1. assign V928539 = V175323 - 1. assign V804330 = V398875. assign V739379 = V478317. assign V657561 = V218846 + 1. assign V604923 = V135468. assign V667210 = V328247 + 1. assign V971589 = V743047 + 1. assign V535341 = V698332. assign V769416 = V569498 - 1. assign V839369 = V176615 + 1. assign V087187 = V179591 - 1. assign V002937 = V206775. assign V330976 = V487207 + 1. assign V327972 = V425025 - 1. assign V902914 = V037303. assign V264291 = V370483. assign V541224 = V241652 - 1. assign V266356 = V246854 + 1. assign V019598 = V618384 - 1. assign V959044 = V655450. assign V988744 = V044632 - 1. assign V133579 = V206775 - 1. assign V256460 = V297852 + 1. assign V057068 = V495821. assign V994880 = V685218 + 1. assign V927314 = V147297. assign V736465 = V298082 - 1. assign V147580 = V685218. assign V313060 = V975737. assign V698332 = V055599 + 1. assign V987834 = V227088 - 1. assign V048658 = V958091. assign V462187 = V179591. assign V672608 = V951645 + 1. assign V688988 = V950159. assign V507426 = V743047 - 1. assign V635888 = V210375 + 1. assign V028042 = V684150 - 1. assign V272369 = V789337. assign V495821 = V958091 - 1. assign V589434 = V353104 - 1. assign V298082 = V734145. assign V634461 = V308548. assign V148532 = V680832. assign V569498 = V037303. assign V089654 = V604808 - 1. assign V908851 = V048658 + 1. assign V498805 = V610601 + 1. assign V133517 = V994880. assign V308941 = V415132. assign V369352 = V517859. assign V756705 = V657561. assign V316184 = V355135 + 1. assign V090494 = V943248 - 1. assign V464865 = V312941. assign V684150 = V680205. assign V185436 = V342889 + 1. assign V218846 = V070594 + 1. assign V445698 = V501303 + 1. assign V870699 = V356045. assign V911842 = V958091 - 1. assign V632698 = V571956. assign V227088 = V243524 + 1. assign V911465 = V194953 - 1. assign V370483 = 5. assign V443672 = V165643. assign V042920 = V087187 + 1. assign V206775 = V298082 - 1. assign V328247 = V153627 + 1. assign V386122 = V070105 + 1. assign V551786 = V482437. assign V012360 = V610601 - 1. assign V726074 = V902786 - 1. assign V616082 = V268086. assign V230527 = V573515 + 1. assign V836399 = V328996 - 1. assign V328996 = V618384 + 1. assign V165643 = V482437 + 1. assign V451491 = V586737. assign V902781 = V897482 - 1. assign V036941 = V971474 + 1. assign V070594 = V425025 - 1. assign V620361 = V451491. assign V699509 = V620361 - 1. assign V325154 = V147580 - 1. assign V911356 = V147580 + 1. assign V945658 = V457998 + 1. assign V939019 = V540286 + 1. assign V820900 = V425025 - 1. assign V559274 = V851782 + 1. assign V155507 = V171965 + 1. assign V579808 = V026727 - 1. assign V444881 = V662558 - 1. assign V194370 = V680832 + 1. assign V646853 = V495821 - 1. assign V309256 = V593461 - 1. assign V124489 = V350609 - 1. assign V308548 = V353104. assign V649102 = V176615 + 1. assign V761033 = V312447. assign V420943 = V971589 - 1. assign V467168 = V538634 + 1. assign V659293 = V478317. assign V045983 = V425025 - 1. assign V078638 = V070594 - 1. assign V325119 = V997946 - 1. assign V500814 = V453624. assign V767196 = V632698. assign V385496 = V498805 + 1. assign V036943 = V971474 - 1. assign V975737 = V298082 - 1. assign V728008 = V943248 + 1. assign V886095 = V227088 + 1. assign V245363 = V478317 - 1. assign V881528 = V398875 - 1. assign V728403 = V820900 + 1. assign V223065 = V254082 + 1. assign V802251 = V611319 + 1. assign V226323 = V818416 - 1. assign V195780 = V276303 + 1. assign V239679 = V115399 - 1. assign V756989 = V739924. assign V997946 = V425025 - 1. assign V325863 = V958091. assign V414836 = V958091 - 1. assign V106086 = V355135. assign V055599 = V309256 - 1. assign V334531 = V063031 + 1. assign V164192 = V803375 + 1. assign V980077 = V610601 - 1. assign V454729 = V423314. assign V062633 = V453624. assign V703091 = V025203 - 1. assign V509714 = V370483. assign V916794 = V503490 + 1. assign V230236 = V684150 + 1. assign V821601 = V225964. assign V901460 = V526104 + 1. assign V971474 = V451491. assign V037246 = V848750 + 1. assign V752537 = V084528 - 1. assign V355135 = V734145 - 1. assign V001691 = V997946. assign V792649 = V897482 - 1. assign V655450 = V276303. assign V342348 = V070105 + 1. assign V074993 = V398875 + 1. assign V951645 = V467168 - 1. assign V352631 = V298082 - 1. assign V169214 = V959044 - 1. assign V950159 = V147580 + 1. assign V618384 = V140999 - 1. assign V425025 = V734145 - 1. assign V611319 = V551786 + 1. assign V730875 = V916794 - 1. assign V736779 = V743047 - 1. assign V194953 = V944353 + 1. assign V226007 = V019598. assign V851782 = V254082 - 1. assign V070105 = V090306 + 1. assign V312447 = V355135. assign V196259 = V165643 + 1. assign V690477 = V025203 + 1. assign V280260 = V057068. assign V739924 = V734145 + 1. assign V134361 = V818416 - 1. assign V897482 = V425025 - 1. assign V083649 = V487207 + 1. assign V528906 = V024982 + 1. assign V824056 = V661150 - 1. assign V662558 = V958091 + 1. assign V276303 = V897482 + 1. assign V928125 = V500814 - 1. assign V758662 = V048658. assign V457998 = V848750. assign V761123 = V569498 - 1. assign V958091 = V241652 - 1. assign V772427 = V586737 + 1. assign V082983 = V353104 - 1. assign V938989 = V425025 - 1. assign V705327 = V077043 - 1. assign V898321 = V802251. assign V784693 = V739924 - 1. assign V356045 = V538634. assign V077043 = V743047 - 1. assign V566146 = V611319 - 1. assign V496287 = V852269 + 1. assign V944353 = V325863 - 1. assign V508132 = V534002. assign V866062 = V509714 + 1. assign V610601 = V661150 + 1. assign V534002 = V135468 + 1. assign V726107 = V734145 - 1. assign V519171 = V680205 - 1. assign V020431 = V206775 + 1. assign V246854 = V176615. assign V142262 = V705327 - 1. assign V519882 = V208921. assign V701815 = V478317 - 1. assign V933874 = V443672. assign V925878 = V482437 - 1. assign V935594 = V478317 - 1. assign V402124 = V701815 + 1. assign V983002 = V045983 + 1. assign V501673 = V218846 - 1. assign V236038 = V659293 + 1. assign V990703 = V761033 + 1. assign V882063 = V243579 + 1. assign V094066 = V208921 - 1. assign V661150 = V734145. assign V063031 = V206775 + 1. assign V350609 = V659293. assign V321881 = V897482 + 1. assign V084528 = V897482 - 1. assign V453624 = V734145. assign V367304 = V048658 - 1. assign V115399 = V451491 - 1. assign V070525 = V655450 - 1. assign V517859 = V620361 + 1. assign V096260 = V616082 - 1. assign V208921 = V611319. assign V897697 = V453624. assign V271882 = V491826. assign V325248 = V655450 + 1. assign V818416 = V739924 + 1. assign V297852 = V241652 - 1. assign V478317 = V045983. assign V398875 = V352631 + 1. assign V789104 = V276303. assign V153627 = V236038 + 1. assign V538634 = V971589 + 1. assign V973614 = V171965 + 1. assign V491826 = V425025. assign V147297 = V752537 + 1. assign V212596 = V620361 - 1. assign V313249 = V988744. assign V160893 = V071684. assign V126516 = V792649 - 1. assign V037303 = V958091. assign V052691 = V297852 - 1. assign V501303 = V398875 + 1. assign V943248 = V165643 + 1. assign V848750 = V091050 - 1. assign V863755 = V501303 - 1. assign V902786 = V684543 + 1. assign V604808 = V559274. assign V833094 = V316115 - 1. assign V171965 = V610601. assign V951688 = V218846 - 1. assign V593461 = V897482 + 1. assign V573515 = V133579. assign V482437 = V045983 + 1. assign V321093 = V784693 - 1. assign V743047 = V298082 + 1. assign V547693 = V425025 + 1. assign V762115 = V206775 - 1. assign V176615 = V478317. assign V125101 = V789337 + 1. assign V268086 = V478317. assign V355792 = V951688. assign V044632 = V743047 - 1. assign V024982 = V495821 - 1. assign V626702 = V225964 - 1. assign V620148 = V024982 - 1. assign V950387 = V789337. assign V373440 = V115399 + 1. assign V071684 = V608719 + 1. assign V179591 = V661150 - 1. assign V864422 = V902914. assign V333625 = V179591. assign V427441 = V245363 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV370483 = 5;\n\nFrom these direct assignment(s), we have: \nV509714 = V370483 = 5;\nV866062 = V509714 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V866062;\nV135113 = V509714 = 5;\nNo other varaibles can be derived from V135113;\nNo other varaibles can be derived from V509714;\nV264291 = V370483 = 5;\nNo other varaibles can be derived from V264291;\nV304320 = V370483 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V304320;\nV316115 = V370483 - 1 = 5 - 1 =4;\nV833094 = V316115 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V833094;\nNo other varaibles can be derived from V316115;\nV068088 = V370483 + 1 = 5 + 1 =6;\nV752988 = V068088 = 6;\nNo other varaibles can be derived from V752988;\nNo other varaibles can be derived from V068088;\nNo other varaibles can be derived from V370483;\n\nNow we have done all the calculations. Derived variables are:\nV370483 = 5;\nV509714 = 5;\nV866062 = 6;\nV135113 = 5;\nV264291 = 5;\nV304320 = 4;\nV316115 = 4;\nV833094 = 3;\nV068088 = 6;\nV752988 = 6;\n\nNow we have finished this problem. ANSWER:\nV370483, V509714, V135113, V264291\n", "role": "assistant" } ]

[ "V494438", "V844007", "V769752", "V479318" ]

[ { "content": "<context>\nassign V153267 = V850684. assign V239465 = V888906 - 1. assign V566143 = V508026 + 1. assign V502769 = V438123. assign V796269 = V990024 + 1. assign V415255 = V541378. assign V338553 = V368924. assign V389058 = V531401 - 1. assign V016978 = V737387 - 1. assign V233829 = V799005. assign V217682 = V217772 - 1. assign V016527 = V548872 + 1. assign V718901 = V677230 - 1. assign V697672 = V643624. assign V589800 = V870025. assign V982616 = V688117 + 1. assign V420516 = V738947 - 1. assign V768217 = V095171 + 1. assign V746736 = V439052 + 1. assign V101838 = V023440. assign V091446 = V633328 - 1. assign V661055 = V374117. assign V095171 = V062588 + 1. assign V183482 = V412524 + 1. assign V643809 = V701684. assign V501658 = V850684 - 1. assign V128892 = V490983. assign V677230 = V299571. assign V421649 = V719855. assign V973530 = V870025 + 1. assign V664796 = V973881 - 1. assign V738947 = V035186 + 1. assign V710574 = V795121 - 1. assign V303807 = V069504 + 1. assign V075238 = V647502. assign V392945 = V420516 - 1. assign V222078 = V427175 + 1. assign V617211 = V088082. assign V093355 = V531401. assign V498454 = V799555 - 1. assign V156973 = V374117 - 1. assign V097944 = V855978. assign V701684 = V925072. assign V517770 = V633328 + 1. assign V490983 = V191331 + 1. assign V671621 = V108233. assign V191331 = V272542 + 1. assign V600992 = V062588. assign V125292 = V917369 - 1. assign V807627 = V788807. assign V141130 = V022589 - 1. assign V966689 = V541378 + 1. assign V310587 = V408189 - 1. assign V733878 = V817708 + 1. assign V020554 = V091446 - 1. assign V216549 = V134437 + 1. assign V036897 = V085672 + 1. assign V823605 = V167127. assign V345017 = V150640. assign V299571 = V061030 + 1. assign V506990 = V234554 - 1. assign V752659 = V025576. assign V279879 = V739241 - 1. assign V166119 = V262582 - 1. assign V251878 = V614496 + 1. assign V153594 = V949192 - 1. assign V278738 = V201179 + 1. assign V199585 = V095171. assign V366703 = V696696 - 1. assign V199770 = V406561. assign V639777 = V945654. assign V508377 = V148342 - 1. assign V894877 = V990024. assign V234554 = V755937 - 1. assign V973468 = V822024 + 1. assign V583773 = V810607 + 1. assign V893852 = V532541 - 1. assign V400440 = V650377 - 1. assign V563585 = V728596 + 1. assign V041725 = V093355 - 1. assign V413593 = V973881 + 1. assign V254294 = V420516 - 1. assign V836856 = V702783. assign V761051 = V035186 - 1. assign V464717 = V761051. assign V541378 = V412524 - 1. assign V177328 = V141747 + 1. assign V899961 = V613531 + 1. assign V202700 = V690859 + 1. assign V303243 = V719855 + 1. assign V302491 = V345017 + 1. assign V946813 = V897703. assign V643926 = V562975. assign V045633 = V585131 + 1. assign V888906 = V412524. assign V460699 = V822024 + 1. assign V962779 = V156973 + 1. assign V974440 = V216549. assign V627281 = V009626. assign V241497 = V647502 - 1. assign V679315 = V166119. assign V724418 = V262582. assign V225652 = V144912. assign V898420 = V412524 + 1. assign V810607 = V665019 + 1. assign V177098 = V532541 - 1. assign V650377 = V329840 + 1. assign V059957 = V254294. assign V831031 = V302491 - 1. assign V531401 = V202239 + 1. assign V559943 = V045633. assign V151610 = V062757 + 1. assign V501504 = V329840. assign V018033 = V761051 + 1. assign V945654 = V412524 + 1. assign V439052 = V118060 + 1. assign V870025 = V881128. assign V982786 = V733878 - 1. assign V761172 = V633328 + 1. assign V981341 = V817708. assign V125739 = V549498 - 1. assign V461161 = V508026. assign V269801 = V368924 + 1. assign V219446 = V665019 - 1. assign V565045 = V974440 - 1. assign V917369 = V059957 + 1. assign V532716 = V990024 + 1. assign V023440 = V166119 - 1. assign V803471 = V108233 + 1. assign V061030 = V262582 + 1. assign V483636 = V482183 + 1. assign V973881 = V633328 + 1. assign V649282 = V661055 + 1. assign V647502 = V166119 - 1. assign V261028 = V191331. assign V148342 = V851216 - 1. assign V080531 = V738947 - 1. assign V310032 = V079318. assign V070790 = V850684. assign V405379 = V690859 - 1. assign V507647 = V501658 + 1. assign V510393 = V508026 + 1. assign V357787 = V494426. assign V217951 = V600992. assign V157148 = V217951 + 1. assign V844007 = V627281 + 1. assign V069504 = V202239 + 1. assign V508026 = V412524 + 1. assign V201179 = V881128 - 1. assign V354280 = V501658. assign V563034 = V217772. assign V438123 = V834627 + 1. assign V427175 = V788807. assign V171345 = V434678 + 1. assign V107941 = V254294 + 1. assign V634945 = V041725. assign V004227 = V434678. assign V297793 = V018033 - 1. assign V301245 = V436396 + 1. assign V109947 = V197946 + 1. assign V294221 = V630437 + 1. assign V712799 = V177098. assign V144912 = V870025. assign V231943 = V795121 + 1. assign V009626 = V494438 - 1. assign V439427 = V035393 - 1. assign V656498 = V867843. assign V494426 = V541378 + 1. assign V314841 = V331216. assign V111668 = V279879 + 1. assign V756923 = V822024 - 1. assign V328114 = V251878 + 1. assign V938851 = V002818 - 1. assign V089150 = V867843 + 1. assign V614745 = V261028 + 1. assign V383956 = V234554. assign V677159 = V457657. assign V633328 = V738947. assign V108233 = V679315 - 1. assign V834627 = V441572 + 1. assign V371671 = V392945. assign V198131 = V434678 + 1. assign V083451 = V177098. assign V462746 = V368924 + 1. assign V146158 = V494438 - 1. assign V851216 = V412524. assign V118752 = V799555 + 1. assign V970368 = V966689 - 1. assign V190483 = V817708. assign V468704 = V688377 + 1. assign V960018 = V000369 - 1. assign V668890 = V817104. assign V310303 = V085672 - 1. assign V167127 = V254294. assign V048566 = V585131 + 1. assign V134437 = V738947. assign V939165 = V990024 - 1. assign V321323 = V690859 + 1. assign V083835 = V737387 - 1. assign V150640 = V153594 - 1. assign V040303 = V697672 + 1. assign V585131 = V004227 + 1. assign V428711 = V093355. assign V818566 = V600992 - 1. assign V025576 = V761051 + 1. assign V696696 = V153594. assign V907104 = V639801 - 1. assign V543676 = V299571 - 1. assign V764666 = V541378. assign V207321 = V413593 - 1. assign V690755 = V671621. assign V441572 = V434678. assign V141747 = V461161. assign V658542 = V907104. assign V299183 = V120756 + 1. assign V002818 = V945654 - 1. assign V755937 = V062588. assign V217772 = V756923 + 1. assign V000369 = V436396 + 1. assign V630437 = V167127 + 1. assign V528647 = V647502 - 1. assign V482183 = V988739. assign V855978 = V979284 + 1. assign V656899 = V855978 - 1. assign V062588 = V166119 + 1. assign V897703 = V979284 + 1. assign V062757 = V093355 + 1. assign V215738 = V585131. assign V769752 = V120756 - 1. assign V891655 = V079318 + 1. assign V272138 = V329840. assign V107092 = V357787 - 1. assign V041637 = V600992 - 1. assign V035186 = V061030. assign V925072 = V059957. assign V265919 = V310303. assign V429547 = V627281. assign V368924 = V510393. assign V651417 = V045633 + 1. assign V613531 = V671621 + 1. assign V035975 = V973881 + 1. assign V867843 = V494426. assign V354167 = V061030 + 1. assign V148539 = V016527 - 1. assign V988739 = V204838. assign V006067 = V870025 + 1. assign V085672 = V420516 - 1. assign V567411 = V199585 - 1. assign V088082 = V490983 - 1. assign V126084 = V600992 - 1. assign V739241 = V795121 - 1. assign V548872 = V508026 + 1. assign V817708 = V093355 + 1. assign V643624 = V314759 - 1. assign V716274 = V898420 + 1. assign V674239 = V671621 + 1. assign V685346 = V197946 + 1. assign V363699 = V412524. assign V436396 = V600992. assign V403204 = V710574. assign V753754 = V069504 + 1. assign V331216 = V756923 - 1. assign V204838 = V934054 - 1. assign V197946 = V990024. assign V242401 = V118060 + 1. assign V670330 = V085672. assign V457657 = V907104. assign V272542 = V412524 - 1. assign V879554 = V040929. assign V513694 = V451480 + 1. assign V120756 = V844007 + 1. assign V434678 = V166119 - 1. assign V614496 = V898420 + 1. assign V779760 = V329840 - 1. assign V708895 = V153594 - 1. assign V418676 = V108233 + 1. assign V118060 = V945654 - 1. assign V719855 = V389058 - 1. assign V929993 = V000369. assign V665019 = V434678. assign V708691 = V134437 + 1. assign V788807 = V795121 - 1. assign V702783 = V756923 + 1. assign V684710 = V062588 - 1. assign V844161 = V251878. assign V283887 = V494426. assign V079318 = V368924. assign V406561 = V761051 - 1. assign V990024 = V966689 + 1. assign V532541 = V508026 - 1. assign V022589 = V562975 + 1. assign V950897 = V779760 + 1. assign V156159 = V881128 - 1. assign V750707 = V541378. assign V836541 = V040929 + 1. assign V286946 = V420516. assign V639801 = V272542. assign V881128 = V803471 + 1. assign V822024 = V761051. assign V476585 = V439052 - 1. assign V184346 = V818566. assign V329840 = V761051 + 1. assign V737387 = V374117 + 1. assign V688377 = V679315 - 1. assign V314759 = V761051. assign V428006 = V272138 - 1. assign V139847 = V822024. assign V306558 = V439052 + 1. assign V026600 = V585131 + 1. assign V949192 = V585131 + 1. assign V486454 = V898420. assign V299850 = V184346 - 1. assign V688117 = V091446 + 1. assign V850684 = V035186. assign V412524 = V166119 + 1. assign V689472 = V184346. assign V494438 = 1. assign V479318 = V009626 + 1. assign V857328 = V665019. assign V167754 = V354167. assign V734691 = V501504 + 1. assign V795121 = V412524 + 1. assign V562975 = V973468. assign V374117 = V710574. assign V799005 = V368924 - 1. assign V035393 = V023440. assign V712933 = V035186 + 1. assign V563394 = V141747 - 1. assign V202389 = V405379 + 1. assign V089693 = V310303 - 1. assign V451480 = V408189 - 1. assign V636257 = V532541 - 1. assign V728596 = V950897 - 1. assign V062760 = V118752 - 1. assign V511181 = V035186 - 1. assign V690859 = V585131 + 1. assign V458383 = V004227 - 1. assign V979284 = V079318. assign V799555 = V062588. assign V963623 = V198131 + 1. assign V156368 = V636257. assign V408189 = V107092. assign V934054 = V548872 + 1. assign V202239 = V035186 - 1. assign V783569 = V528647 - 1. assign V549498 = V460699 + 1. assign V280074 = V585131. assign V040929 = V511181 + 1. assign V989761 = V764666. assign V121662 = V026600 + 1. assign V817104 = V600992 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V153267 = V850684. assign V239465 = V888906 - 1. assign V566143 = V508026 + 1. assign V502769 = V438123. assign V796269 = V990024 + 1. assign V415255 = V541378. assign V338553 = V368924. assign V389058 = V531401 - 1. assign V016978 = V737387 - 1. assign V233829 = V799005. assign V217682 = V217772 - 1. assign V016527 = V548872 + 1. assign V718901 = V677230 - 1. assign V697672 = V643624. assign V589800 = V870025. assign V982616 = V688117 + 1. assign V420516 = V738947 - 1. assign V768217 = V095171 + 1. assign V746736 = V439052 + 1. assign V101838 = V023440. assign V091446 = V633328 - 1. assign V661055 = V374117. assign V095171 = V062588 + 1. assign V183482 = V412524 + 1. assign V643809 = V701684. assign V501658 = V850684 - 1. assign V128892 = V490983. assign V677230 = V299571. assign V421649 = V719855. assign V973530 = V870025 + 1. assign V664796 = V973881 - 1. assign V738947 = V035186 + 1. assign V710574 = V795121 - 1. assign V303807 = V069504 + 1. assign V075238 = V647502. assign V392945 = V420516 - 1. assign V222078 = V427175 + 1. assign V617211 = V088082. assign V093355 = V531401. assign V498454 = V799555 - 1. assign V156973 = V374117 - 1. assign V097944 = V855978. assign V701684 = V925072. assign V517770 = V633328 + 1. assign V490983 = V191331 + 1. assign V671621 = V108233. assign V191331 = V272542 + 1. assign V600992 = V062588. assign V125292 = V917369 - 1. assign V807627 = V788807. assign V141130 = V022589 - 1. assign V966689 = V541378 + 1. assign V310587 = V408189 - 1. assign V733878 = V817708 + 1. assign V020554 = V091446 - 1. assign V216549 = V134437 + 1. assign V036897 = V085672 + 1. assign V823605 = V167127. assign V345017 = V150640. assign V299571 = V061030 + 1. assign V506990 = V234554 - 1. assign V752659 = V025576. assign V279879 = V739241 - 1. assign V166119 = V262582 - 1. assign V251878 = V614496 + 1. assign V153594 = V949192 - 1. assign V278738 = V201179 + 1. assign V199585 = V095171. assign V366703 = V696696 - 1. assign V199770 = V406561. assign V639777 = V945654. assign V508377 = V148342 - 1. assign V894877 = V990024. assign V234554 = V755937 - 1. assign V973468 = V822024 + 1. assign V583773 = V810607 + 1. assign V893852 = V532541 - 1. assign V400440 = V650377 - 1. assign V563585 = V728596 + 1. assign V041725 = V093355 - 1. assign V413593 = V973881 + 1. assign V254294 = V420516 - 1. assign V836856 = V702783. assign V761051 = V035186 - 1. assign V464717 = V761051. assign V541378 = V412524 - 1. assign V177328 = V141747 + 1. assign V899961 = V613531 + 1. assign V202700 = V690859 + 1. assign V303243 = V719855 + 1. assign V302491 = V345017 + 1. assign V946813 = V897703. assign V643926 = V562975. assign V045633 = V585131 + 1. assign V888906 = V412524. assign V460699 = V822024 + 1. assign V962779 = V156973 + 1. assign V974440 = V216549. assign V627281 = V009626. assign V241497 = V647502 - 1. assign V679315 = V166119. assign V724418 = V262582. assign V225652 = V144912. assign V898420 = V412524 + 1. assign V810607 = V665019 + 1. assign V177098 = V532541 - 1. assign V650377 = V329840 + 1. assign V059957 = V254294. assign V831031 = V302491 - 1. assign V531401 = V202239 + 1. assign V559943 = V045633. assign V151610 = V062757 + 1. assign V501504 = V329840. assign V018033 = V761051 + 1. assign V945654 = V412524 + 1. assign V439052 = V118060 + 1. assign V870025 = V881128. assign V982786 = V733878 - 1. assign V761172 = V633328 + 1. assign V981341 = V817708. assign V125739 = V549498 - 1. assign V461161 = V508026. assign V269801 = V368924 + 1. assign V219446 = V665019 - 1. assign V565045 = V974440 - 1. assign V917369 = V059957 + 1. assign V532716 = V990024 + 1. assign V023440 = V166119 - 1. assign V803471 = V108233 + 1. assign V061030 = V262582 + 1. assign V483636 = V482183 + 1. assign V973881 = V633328 + 1. assign V649282 = V661055 + 1. assign V647502 = V166119 - 1. assign V261028 = V191331. assign V148342 = V851216 - 1. assign V080531 = V738947 - 1. assign V310032 = V079318. assign V070790 = V850684. assign V405379 = V690859 - 1. assign V507647 = V501658 + 1. assign V510393 = V508026 + 1. assign V357787 = V494426. assign V217951 = V600992. assign V157148 = V217951 + 1. assign V844007 = V627281 + 1. assign V069504 = V202239 + 1. assign V508026 = V412524 + 1. assign V201179 = V881128 - 1. assign V354280 = V501658. assign V563034 = V217772. assign V438123 = V834627 + 1. assign V427175 = V788807. assign V171345 = V434678 + 1. assign V107941 = V254294 + 1. assign V634945 = V041725. assign V004227 = V434678. assign V297793 = V018033 - 1. assign V301245 = V436396 + 1. assign V109947 = V197946 + 1. assign V294221 = V630437 + 1. assign V712799 = V177098. assign V144912 = V870025. assign V231943 = V795121 + 1. assign V009626 = V494438 - 1. assign V439427 = V035393 - 1. assign V656498 = V867843. assign V494426 = V541378 + 1. assign V314841 = V331216. assign V111668 = V279879 + 1. assign V756923 = V822024 - 1. assign V328114 = V251878 + 1. assign V938851 = V002818 - 1. assign V089150 = V867843 + 1. assign V614745 = V261028 + 1. assign V383956 = V234554. assign V677159 = V457657. assign V633328 = V738947. assign V108233 = V679315 - 1. assign V834627 = V441572 + 1. assign V371671 = V392945. assign V198131 = V434678 + 1. assign V083451 = V177098. assign V462746 = V368924 + 1. assign V146158 = V494438 - 1. assign V851216 = V412524. assign V118752 = V799555 + 1. assign V970368 = V966689 - 1. assign V190483 = V817708. assign V468704 = V688377 + 1. assign V960018 = V000369 - 1. assign V668890 = V817104. assign V310303 = V085672 - 1. assign V167127 = V254294. assign V048566 = V585131 + 1. assign V134437 = V738947. assign V939165 = V990024 - 1. assign V321323 = V690859 + 1. assign V083835 = V737387 - 1. assign V150640 = V153594 - 1. assign V040303 = V697672 + 1. assign V585131 = V004227 + 1. assign V428711 = V093355. assign V818566 = V600992 - 1. assign V025576 = V761051 + 1. assign V696696 = V153594. assign V907104 = V639801 - 1. assign V543676 = V299571 - 1. assign V764666 = V541378. assign V207321 = V413593 - 1. assign V690755 = V671621. assign V441572 = V434678. assign V141747 = V461161. assign V658542 = V907104. assign V299183 = V120756 + 1. assign V002818 = V945654 - 1. assign V755937 = V062588. assign V217772 = V756923 + 1. assign V000369 = V436396 + 1. assign V630437 = V167127 + 1. assign V528647 = V647502 - 1. assign V482183 = V988739. assign V855978 = V979284 + 1. assign V656899 = V855978 - 1. assign V062588 = V166119 + 1. assign V897703 = V979284 + 1. assign V062757 = V093355 + 1. assign V215738 = V585131. assign V769752 = V120756 - 1. assign V891655 = V079318 + 1. assign V272138 = V329840. assign V107092 = V357787 - 1. assign V041637 = V600992 - 1. assign V035186 = V061030. assign V925072 = V059957. assign V265919 = V310303. assign V429547 = V627281. assign V368924 = V510393. assign V651417 = V045633 + 1. assign V613531 = V671621 + 1. assign V035975 = V973881 + 1. assign V867843 = V494426. assign V354167 = V061030 + 1. assign V148539 = V016527 - 1. assign V988739 = V204838. assign V006067 = V870025 + 1. assign V085672 = V420516 - 1. assign V567411 = V199585 - 1. assign V088082 = V490983 - 1. assign V126084 = V600992 - 1. assign V739241 = V795121 - 1. assign V548872 = V508026 + 1. assign V817708 = V093355 + 1. assign V643624 = V314759 - 1. assign V716274 = V898420 + 1. assign V674239 = V671621 + 1. assign V685346 = V197946 + 1. assign V363699 = V412524. assign V436396 = V600992. assign V403204 = V710574. assign V753754 = V069504 + 1. assign V331216 = V756923 - 1. assign V204838 = V934054 - 1. assign V197946 = V990024. assign V242401 = V118060 + 1. assign V670330 = V085672. assign V457657 = V907104. assign V272542 = V412524 - 1. assign V879554 = V040929. assign V513694 = V451480 + 1. assign V120756 = V844007 + 1. assign V434678 = V166119 - 1. assign V614496 = V898420 + 1. assign V779760 = V329840 - 1. assign V708895 = V153594 - 1. assign V418676 = V108233 + 1. assign V118060 = V945654 - 1. assign V719855 = V389058 - 1. assign V929993 = V000369. assign V665019 = V434678. assign V708691 = V134437 + 1. assign V788807 = V795121 - 1. assign V702783 = V756923 + 1. assign V684710 = V062588 - 1. assign V844161 = V251878. assign V283887 = V494426. assign V079318 = V368924. assign V406561 = V761051 - 1. assign V990024 = V966689 + 1. assign V532541 = V508026 - 1. assign V022589 = V562975 + 1. assign V950897 = V779760 + 1. assign V156159 = V881128 - 1. assign V750707 = V541378. assign V836541 = V040929 + 1. assign V286946 = V420516. assign V639801 = V272542. assign V881128 = V803471 + 1. assign V822024 = V761051. assign V476585 = V439052 - 1. assign V184346 = V818566. assign V329840 = V761051 + 1. assign V737387 = V374117 + 1. assign V688377 = V679315 - 1. assign V314759 = V761051. assign V428006 = V272138 - 1. assign V139847 = V822024. assign V306558 = V439052 + 1. assign V026600 = V585131 + 1. assign V949192 = V585131 + 1. assign V486454 = V898420. assign V299850 = V184346 - 1. assign V688117 = V091446 + 1. assign V850684 = V035186. assign V412524 = V166119 + 1. assign V689472 = V184346. assign V494438 = 1. assign V479318 = V009626 + 1. assign V857328 = V665019. assign V167754 = V354167. assign V734691 = V501504 + 1. assign V795121 = V412524 + 1. assign V562975 = V973468. assign V374117 = V710574. assign V799005 = V368924 - 1. assign V035393 = V023440. assign V712933 = V035186 + 1. assign V563394 = V141747 - 1. assign V202389 = V405379 + 1. assign V089693 = V310303 - 1. assign V451480 = V408189 - 1. assign V636257 = V532541 - 1. assign V728596 = V950897 - 1. assign V062760 = V118752 - 1. assign V511181 = V035186 - 1. assign V690859 = V585131 + 1. assign V458383 = V004227 - 1. assign V979284 = V079318. assign V799555 = V062588. assign V963623 = V198131 + 1. assign V156368 = V636257. assign V408189 = V107092. assign V934054 = V548872 + 1. assign V202239 = V035186 - 1. assign V783569 = V528647 - 1. assign V549498 = V460699 + 1. assign V280074 = V585131. assign V040929 = V511181 + 1. assign V989761 = V764666. assign V121662 = V026600 + 1. assign V817104 = V600992 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV494438 = 1;\n\nFrom these direct assignment(s), we have: \nV146158 = V494438 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V146158;\nV009626 = V494438 - 1 = 1 - 1 =0;\nV479318 = V009626 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V479318;\nV627281 = V009626 = 0;\nV429547 = V627281 = 0;\nNo other varaibles can be derived from V429547;\nV844007 = V627281 + 1 = 0 + 1 =1;\nV120756 = V844007 + 1 = 1 + 1 =2;\nV769752 = V120756 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V769752;\nV299183 = V120756 + 1 = 2 + 1 =3;\nNo other varaibles can be derived from V299183;\nNo other varaibles can be derived from V120756;\nNo other varaibles can be derived from V844007;\nNo other varaibles can be derived from V627281;\nNo other varaibles can be derived from V009626;\nNo other varaibles can be derived from V494438;\n\nNow we have done all the calculations. Derived variables are:\nV494438 = 1;\nV146158 = 0;\nV009626 = 0;\nV479318 = 1;\nV627281 = 0;\nV429547 = 0;\nV844007 = 1;\nV120756 = 2;\nV769752 = 1;\nV299183 = 3;\n\nNow we have finished this problem. ANSWER:\nV494438, V479318, V844007, V769752\n", "role": "assistant" } ]

[ "V972432", "V721475" ]

[ { "content": "<context>\nassign V280529 = V720745. assign V720745 = V706438. assign V284376 = V103620 - 1. assign V845329 = V567321 - 1. assign V190631 = V263157 - 1. assign V740866 = V251491. assign V385775 = V216292. assign V449696 = V374798. assign V039159 = V373060 + 1. assign V179762 = V309848. assign V576939 = V154682 + 1. assign V235082 = V587319 + 1. assign V782273 = V526443. assign V893865 = V642288 - 1. assign V397633 = V374226 - 1. assign V634119 = V136224 - 1. assign V826352 = V605569 - 1. assign V032973 = V274470. assign V575797 = V878756. assign V818600 = V344944 - 1. assign V739086 = V988035 - 1. assign V816994 = V707723 - 1. assign V016339 = V516963. assign V660184 = V328624 + 1. assign V821418 = V605569 - 1. assign V834949 = V678653 + 1. assign V940530 = V606491 - 1. assign V642288 = V954681. assign V065078 = V852396 + 1. assign V344944 = V374226. assign V136224 = V742670 + 1. assign V069483 = V002542 - 1. assign V471969 = V330537. assign V903034 = V820773. assign V487928 = V493229. assign V217583 = V344944 - 1. assign V893587 = V667616. assign V502678 = V472761 + 1. assign V499225 = V988035 + 1. assign V878756 = V065078 - 1. assign V107939 = V432222 - 1. assign V532351 = V593983 - 1. assign V866000 = V263023 - 1. assign V722505 = V606893 - 1. assign V822442 = V567321. assign V263157 = V960912. assign V958586 = V151775 + 1. assign V797329 = V064552 + 1. assign V428480 = V990500 + 1. assign V041328 = V516963 - 1. assign V875111 = V670913 - 1. assign V472761 = V707506 - 1. assign V786365 = V374798 - 1. assign V137157 = V211903 + 1. assign V075262 = V421866 + 1. assign V526443 = V830836 - 1. assign V222633 = V526443. assign V742670 = V207328 + 1. assign V339690 = V661702 + 1. assign V254961 = V462031 + 1. assign V863391 = V404080. assign V632175 = V526443. assign V059690 = V279327. assign V860143 = V949587. assign V170992 = V797345 - 1. assign V233375 = V548036. assign V564968 = V459537 + 1. assign V284513 = V587792. assign V875429 = V330537 + 1. assign V727556 = V663278. assign V925929 = V642288 + 1. assign V429014 = V548036. assign V201605 = V526443 - 1. assign V765703 = V567321 - 1. assign V945503 = V697588. assign V027958 = V270646. assign V330537 = V260470 + 1. assign V606893 = V366587. assign V747317 = V634119. assign V116796 = V605569 + 1. assign V663278 = V945503 + 1. assign V548036 = V192821 - 1. assign V535408 = V107939 + 1. assign V309848 = V929312. assign V263023 = V830836 - 1. assign V653052 = V567321 + 1. assign V491953 = V587319 + 1. assign V155843 = V978859 + 1. assign V389175 = V271164 - 1. assign V909705 = V029891 + 1. assign V415947 = V960912. assign V138002 = V893587 - 1. assign V551346 = V587319 + 1. assign V505777 = V504959 - 1. assign V098365 = V936109 - 1. assign V853093 = V045561. assign V064351 = V040014 - 1. assign V776432 = V421866 + 1. assign V830400 = V605569 - 1. assign V260470 = V274470 - 1. assign V211903 = V606491 + 1. assign V481165 = V422587. assign V948841 = V103072 + 1. assign V881388 = V472404 + 1. assign V191923 = V822442 + 1. assign V678653 = V878756 - 1. assign V826611 = V164047 - 1. assign V650111 = V035493 + 1. assign V648571 = V634119. assign V670913 = V857203 - 1. assign V274470 = V207328. assign V161108 = V583389 - 1. assign V780313 = V339690 - 1. assign V088103 = V988035. assign V707506 = V763231 - 1. assign V536270 = V605569 + 1. assign V351211 = V257170 + 1. assign V881940 = V765703. assign V227219 = V721681 + 1. assign V661702 = V668630 - 1. assign V009813 = V875429. assign V944373 = V385775 + 1. assign V343458 = V657781 - 1. assign V412105 = V206292. assign V606491 = V929312 - 1. assign V058701 = V254961 - 1. assign V795313 = V786306. assign V265882 = V485086 + 1. assign V921304 = V797158 - 1. assign V705011 = V472404 - 1. assign V205651 = V990500. assign V029891 = V929312 - 1. assign V145216 = V041328 + 1. assign V002542 = V283586 - 1. assign V721681 = V532351 - 1. assign V690072 = V648571. assign V858030 = V206292 - 1. assign V741203 = V881940 + 1. assign V483407 = V576939. assign V287086 = V331271 + 1. assign V625561 = V560128 + 1. assign V959297 = V838320 - 1. assign V765866 = V424143 + 1. assign V296208 = V098365. assign V738616 = V946815 - 1. assign V368977 = V274470. assign V211326 = V606491 + 1. assign V040014 = V430495 + 1. assign V398321 = V670913. assign V990105 = V283586. assign V921670 = V766551 + 1. assign V753470 = V428480. assign V706438 = V663278. assign V493229 = V271164 + 1. assign V096772 = V249744. assign V297769 = V697588 - 1. assign V270646 = V706438 - 1. assign V495290 = V222633. assign V430495 = V263157 + 1. assign V667616 = V741203. assign V532040 = V782273 - 1. assign V206292 = V936109. assign V081987 = V909705 + 1. assign V936695 = V742670 + 1. assign V283586 = V945503 + 1. assign V620290 = V136224 + 1. assign V972432 = V233375 - 1. assign V590978 = V814684 + 1. assign V951054 = V988035. assign V014590 = V797345 + 1. assign V183715 = V249744 + 1. assign V733832 = V191923 - 1. assign V847385 = V164047 - 1. assign V024110 = V207328. assign V978859 = V064552 - 1. assign V103531 = V830225 - 1. assign V251491 = V830836 + 1. assign V643046 = V868040. assign V885587 = V765866 + 1. assign V861162 = V075354 + 1. assign V555276 = V766551. assign V180565 = V875111. assign V471543 = V860086. assign V680427 = V216292 + 1. assign V783437 = V477515 + 1. assign V786306 = V489035 - 1. assign V368873 = V538418 - 1. assign V055257 = V783437 + 1. assign V668630 = V516963 + 1. assign V969093 = V154682. assign V374798 = V335584 + 1. assign V164047 = V422587 - 1. assign V692191 = V945503. assign V235851 = V606491 - 1. assign V154682 = V064552 - 1. assign V814684 = V151145 + 1. assign V373060 = V274470 - 1. assign V046115 = V263157. assign V697588 = V606491. assign V073522 = V016339 - 1. assign V936109 = V797158 - 1. assign V990500 = V583389 - 1. assign V583389 = V945503 + 1. assign V103620 = V499225 - 1. assign V812817 = V909705. assign V830836 = V909705 + 1. assign V633837 = V765866 - 1. assign V216292 = V797158 + 1. assign V283715 = V857203 + 1. assign V320271 = V274470. assign V567321 = V335584. assign V064552 = V254961 - 1. assign V472404 = V532351 + 1. assign V657781 = V936109 - 1. assign V751791 = V549141 - 1. assign V257170 = V039159 - 1. assign V587319 = V526101 - 1. assign V617615 = V088103 - 1. assign V960912 = V567321. assign V124221 = V374798 - 1. assign V868040 = V921304 + 1. assign V485086 = V032973 - 1. assign V890393 = V032973 - 1. assign V516963 = V990105 - 1. assign V291810 = V192821. assign V852396 = V374798 + 1. assign V860086 = V192821. assign V870573 = V940530 + 1. assign V962898 = V948841 - 1. assign V141323 = V477515 + 1. assign V103072 = V481165 + 1. assign V803493 = V797158. assign V549141 = V260470. assign V727512 = V606491 + 1. assign V021045 = V254961. assign V838320 = V164047 + 1. assign V050746 = V814684. assign V107387 = V478911 + 1. assign V244051 = V814684. assign V865124 = V432222 + 1. assign V554660 = V235851 + 1. assign V867412 = V047881 + 1. assign V593983 = V254961. assign V858284 = V555276. assign V066423 = V605569. assign V477515 = V254961 + 1. assign V795502 = V283586 - 1. assign V279327 = V063121 + 1. assign V028249 = V722208 + 1. assign V938754 = V170992 + 1. assign V751474 = V309848 + 1. assign V766551 = V103531. assign V346682 = V667616 + 1. assign V328624 = V657781 + 1. assign V605569 = V679493 - 1. assign V078917 = V657781. assign V707723 = V632175 + 1. assign V820773 = V585483. assign V830225 = V960912 - 1. assign V459537 = V058701. assign V274382 = V786306 - 1. assign V395501 = V493229. assign V679720 = V532351 + 1. assign V462031 = V283586. assign V504959 = V263157 - 1. assign V369049 = V489035 - 1. assign V882149 = V430495 - 1. assign V829379 = V058701 - 1. assign V414959 = V890393. assign V954681 = V260470 - 1. assign V538418 = V936695. assign V738415 = V548036. assign V325863 = V271164 + 1. assign V697583 = V116796. assign V763231 = V795502 - 1. assign V432222 = V668630. assign V366587 = V576939 - 1. assign V035493 = V579996 + 1. assign V114616 = V797329 - 1. assign V075354 = V909705 - 1. assign V404080 = V642288 + 1. assign V063121 = V190631 - 1. assign V151145 = V064552 - 1. assign V433718 = V829379. assign V699822 = V936109. assign V193511 = V532351 - 1. assign V207328 = V587792. assign V160752 = V797345 + 1. assign V981697 = V881940 + 1. assign V526101 = V179762 - 1. assign V797345 = V936109. assign V464321 = V786365 + 1. assign V261061 = V949587 + 1. assign V374226 = V706438 - 1. assign V509814 = V679493 - 1. assign V162909 = V430495 - 1. assign V045561 = V343458 - 1. assign V399796 = V424143 + 1. assign V208483 = V929312. assign V335584 = V663278. assign V733179 = V136224 - 1. assign V992580 = V424143. assign V851440 = V472404 - 1. assign V478911 = V870573. assign V244108 = V412105 - 1. assign V441488 = V567321 - 1. assign V271164 = V207328. assign V956078 = V107939 + 1. assign V316809 = V587319 - 1. assign V896587 = V058701 + 1. assign V481407 = V660184 + 1. assign V778853 = V797158 + 1. assign V585483 = V786306 - 1. assign V489035 = V297769 - 1. assign V597986 = V041328 + 1. assign V151775 = V235082 + 1. assign V888364 = V096772. assign V937674 = V395501 - 1. assign V721475 = V233375 - 1. assign V560128 = V996980 - 1. assign V421866 = V002542 - 1. assign V587792 = V663278. assign V679493 = V657781. assign V018196 = V605569. assign V424143 = V477515 - 1. assign V249744 = V260470. assign V635570 = V579996 - 1. assign V996980 = V481165. assign V946815 = V039159 - 1. assign V740431 = V606491. assign V816144 = V727512. assign V047881 = V587792 - 1. assign V192821 = 2. assign V277008 = V422587 - 1. assign V453403 = V459537 + 1. assign V988892 = V690072. assign V331271 = V116796 - 1. assign V318295 = V555276 - 1. assign V422587 = V697588 + 1. assign V857203 = V751474. assign V579996 = V263157 - 1. assign V722208 = V822442 - 1. assign V949587 = V740431. assign V012764 = V374226 - 1. assign V876137 = V065078 + 1. assign V988035 = V740431 + 1. assign V816380 = V064552. assign V842095 = V893587 - 1. assign V797158 = V606491. assign V014798 = V160752 - 1. assign V982834 = V797329.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V280529 = V720745. assign V720745 = V706438. assign V284376 = V103620 - 1. assign V845329 = V567321 - 1. assign V190631 = V263157 - 1. assign V740866 = V251491. assign V385775 = V216292. assign V449696 = V374798. assign V039159 = V373060 + 1. assign V179762 = V309848. assign V576939 = V154682 + 1. assign V235082 = V587319 + 1. assign V782273 = V526443. assign V893865 = V642288 - 1. assign V397633 = V374226 - 1. assign V634119 = V136224 - 1. assign V826352 = V605569 - 1. assign V032973 = V274470. assign V575797 = V878756. assign V818600 = V344944 - 1. assign V739086 = V988035 - 1. assign V816994 = V707723 - 1. assign V016339 = V516963. assign V660184 = V328624 + 1. assign V821418 = V605569 - 1. assign V834949 = V678653 + 1. assign V940530 = V606491 - 1. assign V642288 = V954681. assign V065078 = V852396 + 1. assign V344944 = V374226. assign V136224 = V742670 + 1. assign V069483 = V002542 - 1. assign V471969 = V330537. assign V903034 = V820773. assign V487928 = V493229. assign V217583 = V344944 - 1. assign V893587 = V667616. assign V502678 = V472761 + 1. assign V499225 = V988035 + 1. assign V878756 = V065078 - 1. assign V107939 = V432222 - 1. assign V532351 = V593983 - 1. assign V866000 = V263023 - 1. assign V722505 = V606893 - 1. assign V822442 = V567321. assign V263157 = V960912. assign V958586 = V151775 + 1. assign V797329 = V064552 + 1. assign V428480 = V990500 + 1. assign V041328 = V516963 - 1. assign V875111 = V670913 - 1. assign V472761 = V707506 - 1. assign V786365 = V374798 - 1. assign V137157 = V211903 + 1. assign V075262 = V421866 + 1. assign V526443 = V830836 - 1. assign V222633 = V526443. assign V742670 = V207328 + 1. assign V339690 = V661702 + 1. assign V254961 = V462031 + 1. assign V863391 = V404080. assign V632175 = V526443. assign V059690 = V279327. assign V860143 = V949587. assign V170992 = V797345 - 1. assign V233375 = V548036. assign V564968 = V459537 + 1. assign V284513 = V587792. assign V875429 = V330537 + 1. assign V727556 = V663278. assign V925929 = V642288 + 1. assign V429014 = V548036. assign V201605 = V526443 - 1. assign V765703 = V567321 - 1. assign V945503 = V697588. assign V027958 = V270646. assign V330537 = V260470 + 1. assign V606893 = V366587. assign V747317 = V634119. assign V116796 = V605569 + 1. assign V663278 = V945503 + 1. assign V548036 = V192821 - 1. assign V535408 = V107939 + 1. assign V309848 = V929312. assign V263023 = V830836 - 1. assign V653052 = V567321 + 1. assign V491953 = V587319 + 1. assign V155843 = V978859 + 1. assign V389175 = V271164 - 1. assign V909705 = V029891 + 1. assign V415947 = V960912. assign V138002 = V893587 - 1. assign V551346 = V587319 + 1. assign V505777 = V504959 - 1. assign V098365 = V936109 - 1. assign V853093 = V045561. assign V064351 = V040014 - 1. assign V776432 = V421866 + 1. assign V830400 = V605569 - 1. assign V260470 = V274470 - 1. assign V211903 = V606491 + 1. assign V481165 = V422587. assign V948841 = V103072 + 1. assign V881388 = V472404 + 1. assign V191923 = V822442 + 1. assign V678653 = V878756 - 1. assign V826611 = V164047 - 1. assign V650111 = V035493 + 1. assign V648571 = V634119. assign V670913 = V857203 - 1. assign V274470 = V207328. assign V161108 = V583389 - 1. assign V780313 = V339690 - 1. assign V088103 = V988035. assign V707506 = V763231 - 1. assign V536270 = V605569 + 1. assign V351211 = V257170 + 1. assign V881940 = V765703. assign V227219 = V721681 + 1. assign V661702 = V668630 - 1. assign V009813 = V875429. assign V944373 = V385775 + 1. assign V343458 = V657781 - 1. assign V412105 = V206292. assign V606491 = V929312 - 1. assign V058701 = V254961 - 1. assign V795313 = V786306. assign V265882 = V485086 + 1. assign V921304 = V797158 - 1. assign V705011 = V472404 - 1. assign V205651 = V990500. assign V029891 = V929312 - 1. assign V145216 = V041328 + 1. assign V002542 = V283586 - 1. assign V721681 = V532351 - 1. assign V690072 = V648571. assign V858030 = V206292 - 1. assign V741203 = V881940 + 1. assign V483407 = V576939. assign V287086 = V331271 + 1. assign V625561 = V560128 + 1. assign V959297 = V838320 - 1. assign V765866 = V424143 + 1. assign V296208 = V098365. assign V738616 = V946815 - 1. assign V368977 = V274470. assign V211326 = V606491 + 1. assign V040014 = V430495 + 1. assign V398321 = V670913. assign V990105 = V283586. assign V921670 = V766551 + 1. assign V753470 = V428480. assign V706438 = V663278. assign V493229 = V271164 + 1. assign V096772 = V249744. assign V297769 = V697588 - 1. assign V270646 = V706438 - 1. assign V495290 = V222633. assign V430495 = V263157 + 1. assign V667616 = V741203. assign V532040 = V782273 - 1. assign V206292 = V936109. assign V081987 = V909705 + 1. assign V936695 = V742670 + 1. assign V283586 = V945503 + 1. assign V620290 = V136224 + 1. assign V972432 = V233375 - 1. assign V590978 = V814684 + 1. assign V951054 = V988035. assign V014590 = V797345 + 1. assign V183715 = V249744 + 1. assign V733832 = V191923 - 1. assign V847385 = V164047 - 1. assign V024110 = V207328. assign V978859 = V064552 - 1. assign V103531 = V830225 - 1. assign V251491 = V830836 + 1. assign V643046 = V868040. assign V885587 = V765866 + 1. assign V861162 = V075354 + 1. assign V555276 = V766551. assign V180565 = V875111. assign V471543 = V860086. assign V680427 = V216292 + 1. assign V783437 = V477515 + 1. assign V786306 = V489035 - 1. assign V368873 = V538418 - 1. assign V055257 = V783437 + 1. assign V668630 = V516963 + 1. assign V969093 = V154682. assign V374798 = V335584 + 1. assign V164047 = V422587 - 1. assign V692191 = V945503. assign V235851 = V606491 - 1. assign V154682 = V064552 - 1. assign V814684 = V151145 + 1. assign V373060 = V274470 - 1. assign V046115 = V263157. assign V697588 = V606491. assign V073522 = V016339 - 1. assign V936109 = V797158 - 1. assign V990500 = V583389 - 1. assign V583389 = V945503 + 1. assign V103620 = V499225 - 1. assign V812817 = V909705. assign V830836 = V909705 + 1. assign V633837 = V765866 - 1. assign V216292 = V797158 + 1. assign V283715 = V857203 + 1. assign V320271 = V274470. assign V567321 = V335584. assign V064552 = V254961 - 1. assign V472404 = V532351 + 1. assign V657781 = V936109 - 1. assign V751791 = V549141 - 1. assign V257170 = V039159 - 1. assign V587319 = V526101 - 1. assign V617615 = V088103 - 1. assign V960912 = V567321. assign V124221 = V374798 - 1. assign V868040 = V921304 + 1. assign V485086 = V032973 - 1. assign V890393 = V032973 - 1. assign V516963 = V990105 - 1. assign V291810 = V192821. assign V852396 = V374798 + 1. assign V860086 = V192821. assign V870573 = V940530 + 1. assign V962898 = V948841 - 1. assign V141323 = V477515 + 1. assign V103072 = V481165 + 1. assign V803493 = V797158. assign V549141 = V260470. assign V727512 = V606491 + 1. assign V021045 = V254961. assign V838320 = V164047 + 1. assign V050746 = V814684. assign V107387 = V478911 + 1. assign V244051 = V814684. assign V865124 = V432222 + 1. assign V554660 = V235851 + 1. assign V867412 = V047881 + 1. assign V593983 = V254961. assign V858284 = V555276. assign V066423 = V605569. assign V477515 = V254961 + 1. assign V795502 = V283586 - 1. assign V279327 = V063121 + 1. assign V028249 = V722208 + 1. assign V938754 = V170992 + 1. assign V751474 = V309848 + 1. assign V766551 = V103531. assign V346682 = V667616 + 1. assign V328624 = V657781 + 1. assign V605569 = V679493 - 1. assign V078917 = V657781. assign V707723 = V632175 + 1. assign V820773 = V585483. assign V830225 = V960912 - 1. assign V459537 = V058701. assign V274382 = V786306 - 1. assign V395501 = V493229. assign V679720 = V532351 + 1. assign V462031 = V283586. assign V504959 = V263157 - 1. assign V369049 = V489035 - 1. assign V882149 = V430495 - 1. assign V829379 = V058701 - 1. assign V414959 = V890393. assign V954681 = V260470 - 1. assign V538418 = V936695. assign V738415 = V548036. assign V325863 = V271164 + 1. assign V697583 = V116796. assign V763231 = V795502 - 1. assign V432222 = V668630. assign V366587 = V576939 - 1. assign V035493 = V579996 + 1. assign V114616 = V797329 - 1. assign V075354 = V909705 - 1. assign V404080 = V642288 + 1. assign V063121 = V190631 - 1. assign V151145 = V064552 - 1. assign V433718 = V829379. assign V699822 = V936109. assign V193511 = V532351 - 1. assign V207328 = V587792. assign V160752 = V797345 + 1. assign V981697 = V881940 + 1. assign V526101 = V179762 - 1. assign V797345 = V936109. assign V464321 = V786365 + 1. assign V261061 = V949587 + 1. assign V374226 = V706438 - 1. assign V509814 = V679493 - 1. assign V162909 = V430495 - 1. assign V045561 = V343458 - 1. assign V399796 = V424143 + 1. assign V208483 = V929312. assign V335584 = V663278. assign V733179 = V136224 - 1. assign V992580 = V424143. assign V851440 = V472404 - 1. assign V478911 = V870573. assign V244108 = V412105 - 1. assign V441488 = V567321 - 1. assign V271164 = V207328. assign V956078 = V107939 + 1. assign V316809 = V587319 - 1. assign V896587 = V058701 + 1. assign V481407 = V660184 + 1. assign V778853 = V797158 + 1. assign V585483 = V786306 - 1. assign V489035 = V297769 - 1. assign V597986 = V041328 + 1. assign V151775 = V235082 + 1. assign V888364 = V096772. assign V937674 = V395501 - 1. assign V721475 = V233375 - 1. assign V560128 = V996980 - 1. assign V421866 = V002542 - 1. assign V587792 = V663278. assign V679493 = V657781. assign V018196 = V605569. assign V424143 = V477515 - 1. assign V249744 = V260470. assign V635570 = V579996 - 1. assign V996980 = V481165. assign V946815 = V039159 - 1. assign V740431 = V606491. assign V816144 = V727512. assign V047881 = V587792 - 1. assign V192821 = 2. assign V277008 = V422587 - 1. assign V453403 = V459537 + 1. assign V988892 = V690072. assign V331271 = V116796 - 1. assign V318295 = V555276 - 1. assign V422587 = V697588 + 1. assign V857203 = V751474. assign V579996 = V263157 - 1. assign V722208 = V822442 - 1. assign V949587 = V740431. assign V012764 = V374226 - 1. assign V876137 = V065078 + 1. assign V988035 = V740431 + 1. assign V816380 = V064552. assign V842095 = V893587 - 1. assign V797158 = V606491. assign V014798 = V160752 - 1. assign V982834 = V797329.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV192821 = 2;\n\nFrom these direct assignment(s), we have: \nV860086 = V192821 = 2;\nV471543 = V860086 = 2;\nNo other varaibles can be derived from V471543;\nNo other varaibles can be derived from V860086;\nV291810 = V192821 = 2;\nNo other varaibles can be derived from V291810;\nV548036 = V192821 - 1 = 2 - 1 =1;\nV738415 = V548036 = 1;\nNo other varaibles can be derived from V738415;\nV429014 = V548036 = 1;\nNo other varaibles can be derived from V429014;\nV233375 = V548036 = 1;\nV721475 = V233375 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V721475;\nV972432 = V233375 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V972432;\nNo other varaibles can be derived from V233375;\nNo other varaibles can be derived from V548036;\nNo other varaibles can be derived from V192821;\n\nNow we have done all the calculations. Derived variables are:\nV192821 = 2;\nV860086 = 2;\nV471543 = 2;\nV291810 = 2;\nV548036 = 1;\nV738415 = 1;\nV429014 = 1;\nV233375 = 1;\nV721475 = 0;\nV972432 = 0;\n\nNow we have finished this problem. ANSWER:\nV721475, V972432\n", "role": "assistant" } ]

[ "V561738", "V427100", "V541651", "V257798" ]

[ { "content": "<context>\nassign V564649 = V072913 - 1. assign V189700 = V988425 - 1. assign V628838 = V293961 - 1. assign V018408 = V783967 + 1. assign V835032 = V941506. assign V833192 = V964243. assign V673170 = V085970 + 1. assign V135402 = V821202. assign V312227 = V396632 + 1. assign V691021 = V990036 - 1. assign V490988 = V670262 - 1. assign V009594 = V835032. assign V582072 = V988425. assign V988425 = V533331. assign V223621 = V309190 - 1. assign V455661 = V175740. assign V493586 = V669866 - 1. assign V262750 = V114905 + 1. assign V679713 = V990036 - 1. assign V265702 = V542032 + 1. assign V265090 = V019296. assign V068383 = V560736. assign V821202 = V297016 - 1. assign V910963 = V962082 - 1. assign V517094 = V275703 - 1. assign V899503 = V111882. assign V004513 = V142921 - 1. assign V568395 = V833192 - 1. assign V502949 = V081836. assign V500421 = V427100 - 1. assign V915166 = V077381 - 1. assign V970620 = V957090 - 1. assign V051696 = V586634 - 1. assign V949314 = V019296 - 1. assign V242095 = V567590 + 1. assign V453515 = V286634. assign V078462 = V089492 - 1. assign V567590 = V165216 + 1. assign V673721 = V928485. assign V399555 = V509938 - 1. assign V850901 = V455661 - 1. assign V476191 = V389168 - 1. assign V886086 = V427100 + 1. assign V114905 = V835032 - 1. assign V659281 = V077381 - 1. assign V182547 = V134579. assign V346897 = V110861 + 1. assign V212800 = V785121 - 1. assign V680597 = V586634 + 1. assign V320874 = V513177 - 1. assign V633912 = V533331 - 1. assign V188548 = V599014 - 1. assign V880439 = V918445. assign V920563 = V721521 + 1. assign V232560 = V286634 - 1. assign V411229 = V419869 + 1. assign V512800 = V798789 - 1. assign V216211 = V890710. assign V048987 = V134579 + 1. assign V105553 = V011951 - 1. assign V351949 = V710610. assign V219141 = V186556. assign V154287 = V416911 + 1. assign V969995 = V134579. assign V392613 = V509938. assign V203672 = V114905 + 1. assign V635819 = V228326. assign V645846 = V594627. assign V482192 = V303588 - 1. assign V104447 = V905772. assign V385152 = V720484 - 1. assign V856841 = V728251 - 1. assign V389168 = V363897 + 1. assign V383239 = V710610. assign V293961 = V273164 + 1. assign V142921 = V036620 + 1. assign V541651 = V427100. assign V081836 = V019296 - 1. assign V926328 = V182396 + 1. assign V090869 = V351949 + 1. assign V154364 = V774257 + 1. assign V785121 = V175740 + 1. assign V710610 = V533331 + 1. assign V671050 = V019296 + 1. assign V856836 = V309190. assign V231177 = V389109 - 1. assign V639776 = V679713 + 1. assign V133630 = V936652 + 1. assign V165216 = V509938 + 1. assign V848864 = V114905. assign V654244 = V670262 - 1. assign V773843 = V815121 - 1. assign V740859 = V515857 + 1. assign V011951 = V533331 + 1. assign V572041 = V542032 + 1. assign V998754 = V002038. assign V399940 = V998754. assign V424426 = V662929. assign V510957 = V036620 - 1. assign V246348 = V003639 - 1. assign V503531 = V546172 - 1. assign V196048 = V203672. assign V075114 = V097946 - 1. assign V585897 = V925417 - 1. assign V423541 = V969995 - 1. assign V922420 = V223621 - 1. assign V720484 = V482192 + 1. assign V186556 = V671050 - 1. assign V220377 = V561738 + 1. assign V340790 = V356330 - 1. assign V322976 = V544072 - 1. assign V381508 = V004513 - 1. assign V062653 = V105553. assign V845021 = V309190 + 1. assign V153652 = V427100 - 1. assign V671893 = V216211. assign V077381 = V105553 + 1. assign V658637 = V821202. assign V323045 = V165938. assign V687685 = V671050 + 1. assign V339484 = V680597 + 1. assign V890710 = V273164 + 1. assign V557513 = V594627. assign V133224 = V469200. assign V943923 = V641353 + 1. assign V582930 = V533339 + 1. assign V836758 = V133630. assign V578016 = V561738 - 1. assign V022657 = V705487 + 1. assign V165938 = V327443. assign V427100 = V220377 - 1. assign V662929 = V671050. assign V084319 = V909966 + 1. assign V257798 = V886086 - 1. assign V882470 = V011951. assign V845462 = V691836 + 1. assign V426538 = V134858 + 1. assign V469200 = V273164. assign V533339 = V798789 - 1. assign V941506 = V783967 - 1. assign V221756 = V605977 + 1. assign V105350 = V062653 - 1. assign V990036 = V962082 - 1. assign V515857 = V783967 + 1. assign V156862 = V670262. assign V709208 = V223621 + 1. assign V925417 = V680597. assign V513439 = V189700. assign V309190 = V964243 + 1. assign V564700 = V449886. assign V385783 = V610217 - 1. assign V337045 = V568395 - 1. assign V110861 = V585897 + 1. assign V327443 = V492791. assign V909966 = V586634 - 1. assign V419869 = V985619 - 1. assign V935321 = V502949 - 1. assign V867362 = V821202. assign V082479 = V019296. assign V721521 = V568395. assign V705487 = V081836. assign V019458 = V671050 + 1. assign V027150 = V019458 + 1. assign V389109 = V077381 + 1. assign V044732 = V672622 - 1. assign V892123 = V798789 + 1. assign V444559 = V133224 + 1. assign V134858 = V396632 - 1. assign V111882 = V004300. assign V945679 = V513439 + 1. assign V409670 = V533331 - 1. assign V985619 = V018408 - 1. assign V256170 = V134858 - 1. assign V363897 = V396632 + 1. assign V218468 = V630166 - 1. assign V168985 = V909966 - 1. assign V586634 = V351949. assign V229741 = V728251 - 1. assign V586260 = V212540 - 1. assign V142061 = V002038 + 1. assign V779743 = V578444. assign V283830 = V142921 + 1. assign V037802 = V705487. assign V613276 = V080199 - 1. assign V467930 = V036620 + 1. assign V072913 = V449886 - 1. assign V533331 = V964243 + 1. assign V273164 = V962082. assign V120765 = V720484 + 1. assign V253990 = V962082 - 1. assign V893560 = V473380 + 1. assign V691735 = V687685 - 1. assign V526393 = V366831. assign V097946 = V833192 - 1. assign V691836 = V323045 + 1. assign V036620 = V097946 + 1. assign V185838 = V012452 + 1. assign V992111 = V168985 + 1. assign V277275 = V962082 - 1. assign V175740 = V964243 + 1. assign V251796 = V645846 + 1. assign V601987 = V340790 + 1. assign V640723 = V969995 + 1. assign V230855 = V396632. assign V157967 = V409670 + 1. assign V019296 = V964243 + 1. assign V594627 = V941506 - 1. assign V396632 = V568395 - 1. assign V286634 = V379776 + 1. assign V578444 = V533331 - 1. assign V808461 = V509938. assign V584293 = V467862. assign V214696 = V990036 - 1. assign V261310 = V783967 + 1. assign V561738 = 9. assign V380234 = V004300. assign V080199 = V513177 + 1. assign V521938 = V905772. assign V546172 = V943923. assign V571905 = V962082 + 1. assign V297016 = V515857. assign V636912 = V578444 + 1. assign V089475 = V529618 - 1. assign V602433 = V833192. assign V512128 = V011951. assign V727302 = V262750 - 1. assign V862596 = V256170 + 1. assign V226538 = V926566 - 1. assign V570670 = V848864 - 1. assign V464294 = V679713. assign V406915 = V705487 + 1. assign V798789 = V671050 - 1. assign V212540 = V941506. assign V664886 = V297016. assign V028776 = V493586 - 1. assign V473380 = V426538 + 1. assign V816530 = V586260 - 1. assign V356330 = V850901. assign V560736 = V214696 + 1. assign V610217 = V133630 - 1. assign V379776 = V798789. assign V066647 = V416911 - 1. assign V182396 = V455661. assign V397688 = V114863 + 1. assign V114863 = V909966 + 1. assign V944408 = V783967 - 1. assign V672622 = V721521 + 1. assign V760756 = V253330. assign V275703 = V585897 + 1. assign V452770 = V630166 + 1. assign V774257 = V669866 + 1. assign V366831 = V936652. assign V728251 = V669866. assign V089492 = V175740 + 1. assign V773877 = V385152 - 1. assign V630166 = V182396 - 1. assign V812435 = V542032 - 1. assign V370995 = V848864 - 1. assign V416911 = V599014 - 1. assign V449886 = V175740 - 1. assign V926566 = V672622 + 1. assign V008318 = V012452 - 1. assign V529618 = V812435. assign V770851 = V444559 - 1. assign V253330 = V396632 - 1. assign V308612 = V669866 + 1. assign V805715 = V582072. assign V248835 = V340790 + 1. assign V133380 = V502949 + 1. assign V684926 = V564700. assign V010128 = V482192 - 1. assign V374727 = V882470. assign V808107 = V265702. assign V509938 = V833192. assign V784385 = V134858. assign V657698 = V673170 + 1. assign V100158 = V346913 - 1. assign V303588 = V568395. assign V211753 = V841784 + 1. assign V957090 = V453515 + 1. assign V641564 = V928485 + 1. assign V422462 = V114905. assign V799243 = V075114 - 1. assign V783967 = V533331. assign V542032 = V175740 + 1. assign V594960 = V027150. assign V641353 = V784385 - 1. assign V205447 = V214696 + 1. assign V799296 = V011951. assign V714489 = V081836. assign V110879 = V845021 + 1. assign V071330 = V568395 - 1. assign V670262 = V949314. assign V563433 = V379776 - 1. assign V085970 = V798789. assign V161466 = V774257. assign V088573 = V156862 - 1. assign V789353 = V669866. assign V467862 = V564700 + 1. assign V566250 = V346913. assign V905772 = V670262 + 1. assign V908276 = V374727. assign V676225 = V012452. assign V012452 = V850901 + 1. assign V909358 = V964243 - 1. assign V520856 = V798789. assign V544072 = V564649. assign V259579 = V909966 - 1. assign V795327 = V220377. assign V879117 = V714520 + 1. assign V147359 = V710610. assign V568753 = V573489 + 1. assign V000249 = V602433 + 1. assign V228326 = V381508 - 1. assign V751020 = V084319 + 1. assign V008955 = V022657 - 1. assign V881119 = V037802. assign V372249 = V672622. assign V784826 = V586634. assign V513177 = V784385 + 1. assign V331233 = V679713. assign V928485 = V205447 - 1. assign V241550 = V327443 + 1. assign V776462 = V567590 - 1. assign V936652 = V671050. assign V714520 = V962082 - 1. assign V134579 = V909358 - 1. assign V605977 = V075114 - 1. assign V004300 = V082479. assign V918445 = V422462. assign V346913 = V785121. assign V669866 = V512800 + 1. assign V002038 = V833192 + 1. assign V962082 = V011951. assign V106386 = V230855 - 1. assign V573489 = V988425. assign V815121 = V563433 - 1. assign V003639 = V009594. assign V586464 = V645846 + 1. assign V798263 = V915166. assign V599014 = V309190 - 1. assign V492791 = V925417 - 1. assign V675846 = V680597 + 1. assign V043662 = V941506 - 1. assign V956026 = V533339 + 1. assign V841784 = V379776 + 1. assign V871336 = V089492. assign V878632 = V265702 + 1. assign V818265 = V594627. assign V912915 = V845021. assign V510898 = V100158 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V564649 = V072913 - 1. assign V189700 = V988425 - 1. assign V628838 = V293961 - 1. assign V018408 = V783967 + 1. assign V835032 = V941506. assign V833192 = V964243. assign V673170 = V085970 + 1. assign V135402 = V821202. assign V312227 = V396632 + 1. assign V691021 = V990036 - 1. assign V490988 = V670262 - 1. assign V009594 = V835032. assign V582072 = V988425. assign V988425 = V533331. assign V223621 = V309190 - 1. assign V455661 = V175740. assign V493586 = V669866 - 1. assign V262750 = V114905 + 1. assign V679713 = V990036 - 1. assign V265702 = V542032 + 1. assign V265090 = V019296. assign V068383 = V560736. assign V821202 = V297016 - 1. assign V910963 = V962082 - 1. assign V517094 = V275703 - 1. assign V899503 = V111882. assign V004513 = V142921 - 1. assign V568395 = V833192 - 1. assign V502949 = V081836. assign V500421 = V427100 - 1. assign V915166 = V077381 - 1. assign V970620 = V957090 - 1. assign V051696 = V586634 - 1. assign V949314 = V019296 - 1. assign V242095 = V567590 + 1. assign V453515 = V286634. assign V078462 = V089492 - 1. assign V567590 = V165216 + 1. assign V673721 = V928485. assign V399555 = V509938 - 1. assign V850901 = V455661 - 1. assign V476191 = V389168 - 1. assign V886086 = V427100 + 1. assign V114905 = V835032 - 1. assign V659281 = V077381 - 1. assign V182547 = V134579. assign V346897 = V110861 + 1. assign V212800 = V785121 - 1. assign V680597 = V586634 + 1. assign V320874 = V513177 - 1. assign V633912 = V533331 - 1. assign V188548 = V599014 - 1. assign V880439 = V918445. assign V920563 = V721521 + 1. assign V232560 = V286634 - 1. assign V411229 = V419869 + 1. assign V512800 = V798789 - 1. assign V216211 = V890710. assign V048987 = V134579 + 1. assign V105553 = V011951 - 1. assign V351949 = V710610. assign V219141 = V186556. assign V154287 = V416911 + 1. assign V969995 = V134579. assign V392613 = V509938. assign V203672 = V114905 + 1. assign V635819 = V228326. assign V645846 = V594627. assign V482192 = V303588 - 1. assign V104447 = V905772. assign V385152 = V720484 - 1. assign V856841 = V728251 - 1. assign V389168 = V363897 + 1. assign V383239 = V710610. assign V293961 = V273164 + 1. assign V142921 = V036620 + 1. assign V541651 = V427100. assign V081836 = V019296 - 1. assign V926328 = V182396 + 1. assign V090869 = V351949 + 1. assign V154364 = V774257 + 1. assign V785121 = V175740 + 1. assign V710610 = V533331 + 1. assign V671050 = V019296 + 1. assign V856836 = V309190. assign V231177 = V389109 - 1. assign V639776 = V679713 + 1. assign V133630 = V936652 + 1. assign V165216 = V509938 + 1. assign V848864 = V114905. assign V654244 = V670262 - 1. assign V773843 = V815121 - 1. assign V740859 = V515857 + 1. assign V011951 = V533331 + 1. assign V572041 = V542032 + 1. assign V998754 = V002038. assign V399940 = V998754. assign V424426 = V662929. assign V510957 = V036620 - 1. assign V246348 = V003639 - 1. assign V503531 = V546172 - 1. assign V196048 = V203672. assign V075114 = V097946 - 1. assign V585897 = V925417 - 1. assign V423541 = V969995 - 1. assign V922420 = V223621 - 1. assign V720484 = V482192 + 1. assign V186556 = V671050 - 1. assign V220377 = V561738 + 1. assign V340790 = V356330 - 1. assign V322976 = V544072 - 1. assign V381508 = V004513 - 1. assign V062653 = V105553. assign V845021 = V309190 + 1. assign V153652 = V427100 - 1. assign V671893 = V216211. assign V077381 = V105553 + 1. assign V658637 = V821202. assign V323045 = V165938. assign V687685 = V671050 + 1. assign V339484 = V680597 + 1. assign V890710 = V273164 + 1. assign V557513 = V594627. assign V133224 = V469200. assign V943923 = V641353 + 1. assign V582930 = V533339 + 1. assign V836758 = V133630. assign V578016 = V561738 - 1. assign V022657 = V705487 + 1. assign V165938 = V327443. assign V427100 = V220377 - 1. assign V662929 = V671050. assign V084319 = V909966 + 1. assign V257798 = V886086 - 1. assign V882470 = V011951. assign V845462 = V691836 + 1. assign V426538 = V134858 + 1. assign V469200 = V273164. assign V533339 = V798789 - 1. assign V941506 = V783967 - 1. assign V221756 = V605977 + 1. assign V105350 = V062653 - 1. assign V990036 = V962082 - 1. assign V515857 = V783967 + 1. assign V156862 = V670262. assign V709208 = V223621 + 1. assign V925417 = V680597. assign V513439 = V189700. assign V309190 = V964243 + 1. assign V564700 = V449886. assign V385783 = V610217 - 1. assign V337045 = V568395 - 1. assign V110861 = V585897 + 1. assign V327443 = V492791. assign V909966 = V586634 - 1. assign V419869 = V985619 - 1. assign V935321 = V502949 - 1. assign V867362 = V821202. assign V082479 = V019296. assign V721521 = V568395. assign V705487 = V081836. assign V019458 = V671050 + 1. assign V027150 = V019458 + 1. assign V389109 = V077381 + 1. assign V044732 = V672622 - 1. assign V892123 = V798789 + 1. assign V444559 = V133224 + 1. assign V134858 = V396632 - 1. assign V111882 = V004300. assign V945679 = V513439 + 1. assign V409670 = V533331 - 1. assign V985619 = V018408 - 1. assign V256170 = V134858 - 1. assign V363897 = V396632 + 1. assign V218468 = V630166 - 1. assign V168985 = V909966 - 1. assign V586634 = V351949. assign V229741 = V728251 - 1. assign V586260 = V212540 - 1. assign V142061 = V002038 + 1. assign V779743 = V578444. assign V283830 = V142921 + 1. assign V037802 = V705487. assign V613276 = V080199 - 1. assign V467930 = V036620 + 1. assign V072913 = V449886 - 1. assign V533331 = V964243 + 1. assign V273164 = V962082. assign V120765 = V720484 + 1. assign V253990 = V962082 - 1. assign V893560 = V473380 + 1. assign V691735 = V687685 - 1. assign V526393 = V366831. assign V097946 = V833192 - 1. assign V691836 = V323045 + 1. assign V036620 = V097946 + 1. assign V185838 = V012452 + 1. assign V992111 = V168985 + 1. assign V277275 = V962082 - 1. assign V175740 = V964243 + 1. assign V251796 = V645846 + 1. assign V601987 = V340790 + 1. assign V640723 = V969995 + 1. assign V230855 = V396632. assign V157967 = V409670 + 1. assign V019296 = V964243 + 1. assign V594627 = V941506 - 1. assign V396632 = V568395 - 1. assign V286634 = V379776 + 1. assign V578444 = V533331 - 1. assign V808461 = V509938. assign V584293 = V467862. assign V214696 = V990036 - 1. assign V261310 = V783967 + 1. assign V561738 = 9. assign V380234 = V004300. assign V080199 = V513177 + 1. assign V521938 = V905772. assign V546172 = V943923. assign V571905 = V962082 + 1. assign V297016 = V515857. assign V636912 = V578444 + 1. assign V089475 = V529618 - 1. assign V602433 = V833192. assign V512128 = V011951. assign V727302 = V262750 - 1. assign V862596 = V256170 + 1. assign V226538 = V926566 - 1. assign V570670 = V848864 - 1. assign V464294 = V679713. assign V406915 = V705487 + 1. assign V798789 = V671050 - 1. assign V212540 = V941506. assign V664886 = V297016. assign V028776 = V493586 - 1. assign V473380 = V426538 + 1. assign V816530 = V586260 - 1. assign V356330 = V850901. assign V560736 = V214696 + 1. assign V610217 = V133630 - 1. assign V379776 = V798789. assign V066647 = V416911 - 1. assign V182396 = V455661. assign V397688 = V114863 + 1. assign V114863 = V909966 + 1. assign V944408 = V783967 - 1. assign V672622 = V721521 + 1. assign V760756 = V253330. assign V275703 = V585897 + 1. assign V452770 = V630166 + 1. assign V774257 = V669866 + 1. assign V366831 = V936652. assign V728251 = V669866. assign V089492 = V175740 + 1. assign V773877 = V385152 - 1. assign V630166 = V182396 - 1. assign V812435 = V542032 - 1. assign V370995 = V848864 - 1. assign V416911 = V599014 - 1. assign V449886 = V175740 - 1. assign V926566 = V672622 + 1. assign V008318 = V012452 - 1. assign V529618 = V812435. assign V770851 = V444559 - 1. assign V253330 = V396632 - 1. assign V308612 = V669866 + 1. assign V805715 = V582072. assign V248835 = V340790 + 1. assign V133380 = V502949 + 1. assign V684926 = V564700. assign V010128 = V482192 - 1. assign V374727 = V882470. assign V808107 = V265702. assign V509938 = V833192. assign V784385 = V134858. assign V657698 = V673170 + 1. assign V100158 = V346913 - 1. assign V303588 = V568395. assign V211753 = V841784 + 1. assign V957090 = V453515 + 1. assign V641564 = V928485 + 1. assign V422462 = V114905. assign V799243 = V075114 - 1. assign V783967 = V533331. assign V542032 = V175740 + 1. assign V594960 = V027150. assign V641353 = V784385 - 1. assign V205447 = V214696 + 1. assign V799296 = V011951. assign V714489 = V081836. assign V110879 = V845021 + 1. assign V071330 = V568395 - 1. assign V670262 = V949314. assign V563433 = V379776 - 1. assign V085970 = V798789. assign V161466 = V774257. assign V088573 = V156862 - 1. assign V789353 = V669866. assign V467862 = V564700 + 1. assign V566250 = V346913. assign V905772 = V670262 + 1. assign V908276 = V374727. assign V676225 = V012452. assign V012452 = V850901 + 1. assign V909358 = V964243 - 1. assign V520856 = V798789. assign V544072 = V564649. assign V259579 = V909966 - 1. assign V795327 = V220377. assign V879117 = V714520 + 1. assign V147359 = V710610. assign V568753 = V573489 + 1. assign V000249 = V602433 + 1. assign V228326 = V381508 - 1. assign V751020 = V084319 + 1. assign V008955 = V022657 - 1. assign V881119 = V037802. assign V372249 = V672622. assign V784826 = V586634. assign V513177 = V784385 + 1. assign V331233 = V679713. assign V928485 = V205447 - 1. assign V241550 = V327443 + 1. assign V776462 = V567590 - 1. assign V936652 = V671050. assign V714520 = V962082 - 1. assign V134579 = V909358 - 1. assign V605977 = V075114 - 1. assign V004300 = V082479. assign V918445 = V422462. assign V346913 = V785121. assign V669866 = V512800 + 1. assign V002038 = V833192 + 1. assign V962082 = V011951. assign V106386 = V230855 - 1. assign V573489 = V988425. assign V815121 = V563433 - 1. assign V003639 = V009594. assign V586464 = V645846 + 1. assign V798263 = V915166. assign V599014 = V309190 - 1. assign V492791 = V925417 - 1. assign V675846 = V680597 + 1. assign V043662 = V941506 - 1. assign V956026 = V533339 + 1. assign V841784 = V379776 + 1. assign V871336 = V089492. assign V878632 = V265702 + 1. assign V818265 = V594627. assign V912915 = V845021. assign V510898 = V100158 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV561738 = 9;\n\nFrom these direct assignment(s), we have: \nV578016 = V561738 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V578016;\nV220377 = V561738 + 1 = 9 + 1 =10;\nV795327 = V220377 = 10;\nNo other varaibles can be derived from V795327;\nV427100 = V220377 - 1 = 10 - 1 =9;\nV153652 = V427100 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V153652;\nV541651 = V427100 = 9;\nNo other varaibles can be derived from V541651;\nV886086 = V427100 + 1 = 9 + 1 =10;\nV257798 = V886086 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V257798;\nNo other varaibles can be derived from V886086;\nV500421 = V427100 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V500421;\nNo other varaibles can be derived from V427100;\nNo other varaibles can be derived from V220377;\nNo other varaibles can be derived from V561738;\n\nNow we have done all the calculations. Derived variables are:\nV561738 = 9;\nV578016 = 8;\nV220377 = 10;\nV795327 = 10;\nV427100 = 9;\nV153652 = 8;\nV541651 = 9;\nV886086 = 10;\nV257798 = 9;\nV500421 = 8;\n\nNow we have finished this problem. ANSWER:\nV561738, V427100, V541651, V257798\n", "role": "assistant" } ]

[ "V250077" ]

[ { "content": "<context>\nassign V957691 = V623042. assign V898898 = V212674 + 1. assign V173868 = V032847 - 1. assign V006402 = V498352 + 1. assign V143402 = V036505 - 1. assign V069057 = V001581 + 1. assign V639685 = V307673. assign V742606 = V212252. assign V021897 = V492220. assign V819754 = V021897. assign V274629 = V609335 - 1. assign V698845 = V360326 - 1. assign V817478 = V372990 + 1. assign V396443 = V626010 - 1. assign V196274 = V001581 + 1. assign V858419 = V066456 - 1. assign V072300 = V898854. assign V786751 = V274629 + 1. assign V110438 = V936124 - 1. assign V391167 = V957691 + 1. assign V410979 = V203898. assign V662023 = V698408. assign V342139 = V613858 + 1. assign V699470 = V429708. assign V353981 = V444630 + 1. assign V796056 = V469964 + 1. assign V208430 = V277666 - 1. assign V113922 = V833823 - 1. assign V380782 = V898898 + 1. assign V153444 = V072300 + 1. assign V835562 = V499078 - 1. assign V676578 = V318028 + 1. assign V130286 = V835562 + 1. assign V751097 = V942796. assign V634959 = V293810 - 1. assign V091417 = V149685 - 1. assign V961942 = V737558. assign V207926 = V882129 + 1. assign V988059 = V318028 + 1. assign V389695 = V232198 - 1. assign V707349 = V501508 - 1. assign V013976 = V113922. assign V993356 = V149657 - 1. assign V594793 = V203898 + 1. assign V149657 = V840515. assign V304728 = V943772 - 1. assign V373480 = V788745 + 1. assign V274278 = V421530 + 1. assign V605980 = V582799. assign V494728 = V699470. assign V918195 = V772267 - 1. assign V743422 = V102612. assign V471027 = V605980 + 1. assign V149812 = V743422 + 1. assign V096509 = V353981 - 1. assign V898860 = V383673 - 1. assign V829726 = V762293 + 1. assign V501508 = V408732 - 1. assign V628224 = V585402 - 1. assign V609335 = V342139. assign V351363 = V240968. assign V511155 = V523028 + 1. assign V250077 = V102536 - 1. assign V265631 = V826317 - 1. assign V600061 = V084743. assign V686557 = V953979. assign V355739 = V467508 + 1. assign V532869 = V203898 + 1. assign V943772 = V841793. assign V700405 = V758495 + 1. assign V172362 = V943772. assign V627840 = V634959 + 1. assign V888663 = V318028. assign V242583 = V370377. assign V293810 = V613858. assign V826317 = V102612. assign V486603 = V370377. assign V782648 = V662023 + 1. assign V875053 = V001581 + 1. assign V596658 = V789113. assign V408732 = V570662. assign V812578 = V652498 + 1. assign V624418 = V293810. assign V156121 = V912127. assign V747279 = V789113 - 1. assign V469964 = V585402. assign V006141 = V401584. assign V626010 = V102612 + 1. assign V896015 = V232198 - 1. assign V264940 = V072300 + 1. assign V706566 = V918532 - 1. assign V549622 = V491558. assign V727426 = V207633 + 1. assign V758495 = V342139 + 1. assign V609801 = V420633 - 1. assign V134360 = V747279 + 1. assign V304501 = V469964 - 1. assign V886042 = V585402. assign V093460 = V370377 - 1. assign V912127 = V342139. assign V132791 = V670529 - 1. assign V854326 = V355351 + 1. assign V737558 = V277666 - 1. assign V598019 = V351363 - 1. assign V703363 = V652498 - 1. assign V467508 = V428476. assign V399652 = V469964. assign V820803 = V698408 + 1. assign V618688 = V420633 + 1. assign V582799 = V259869 - 1. assign V975600 = V724680 + 1. assign V692645 = V523028. assign V201085 = V875053. assign V964827 = V918195. assign V355191 = V654102. assign V592354 = V211296 + 1. assign V918532 = V499078. assign V618360 = V729327 + 1. assign V370377 = V411668. assign V601544 = V872673. assign V413090 = V656712. assign V691072 = V898898 - 1. assign V269351 = V698408 + 1. assign V670536 = V826317 - 1. assign V754240 = V293810 - 1. assign V136304 = V072300 + 1. assign V001581 = V758495 - 1. assign V835701 = V355351 - 1. assign V397371 = V102604 + 1. assign V474268 = V968232 + 1. assign V240968 = V211469 - 1. assign V872673 = V652498 - 1. assign V570662 = V841793 - 1. assign V840515 = V628224 - 1. assign V429785 = V737558 + 1. assign V421530 = V698408 + 1. assign V444630 = V789113 + 1. assign V881792 = V420633 + 1. assign V656712 = V501508 + 1. assign V645000 = V758495. assign V307156 = V102612 - 1. assign V520431 = V498352. assign V211296 = V149812 + 1. assign V352203 = V720640. assign V424836 = V761332. assign V202422 = V908006 - 1. assign V717213 = V754240 - 1. assign V701765 = V134007 - 1. assign V824413 = V207633 - 1. assign V782039 = V628224 + 1. assign V406852 = V812578 - 1. assign V604956 = V609335 - 1. assign V429395 = V492220. assign V411668 = V499078 - 1. assign V782534 = V499078. assign V759608 = V677848 - 1. assign V222540 = V670536 - 1. assign V894016 = V652498 - 1. assign V381066 = V743422. assign V939901 = V826537. assign V232198 = V693139. assign V401584 = V421530. assign V882129 = V969867. assign V691553 = V381066 + 1. assign V199992 = V894026 - 1. assign V033032 = V342139 - 1. assign V681791 = V618360 + 1. assign V670529 = V938226 + 1. assign V120465 = V156917 - 1. assign V601359 = V212252 - 1. assign V564523 = V745228. assign V429708 = V069057 + 1. assign V134007 = V898898 - 1. assign V985451 = V096103 - 1. assign V487261 = V242583 - 1. assign V579784 = V812578. assign V309504 = V572247. assign V310925 = V654102. assign V226362 = V964761 + 1. assign V469944 = V096509 - 1. assign V654102 = V420633 - 1. assign V438487 = V985451. assign V084743 = V499078 - 1. assign V752675 = V156917 + 1. assign V498156 = V491558 - 1. assign V696813 = V993356. assign V067089 = V149685 + 1. assign V990303 = V598019. assign V392743 = V310925 - 1. assign V149685 = V353981. assign V212031 = V838113 - 1. assign V761332 = V788745. assign V585402 = V401584 - 1. assign V212674 = V743422 + 1. assign V128721 = V933465 + 1. assign V888771 = V383673 - 1. assign V964761 = V700405 + 1. assign V235300 = V706566 + 1. assign V259869 = V938226 + 1. assign V680438 = V652317 + 1. assign V844789 = V021897 - 1. assign V762574 = V429395 + 1. assign V307059 = V758495 + 1. assign V720640 = V948435. assign V531078 = V199992 - 1. assign V094365 = V198362. assign V212252 = V383673. assign V143365 = V724680. assign V491558 = V499078 - 1. assign V036505 = V789297. assign V539000 = V898898 + 1. assign V102604 = V036505. assign V266118 = V872966. assign V789297 = V789113. assign V312490 = V835701 - 1. assign V641408 = V110438 + 1. assign V815311 = V570662 + 1. assign V605547 = V201085 - 1. assign V698408 = V743422 + 1. assign V669413 = V872673. assign V532485 = V174110. assign V933465 = V421530 + 1. assign V096103 = V355351. assign V663217 = V444630. assign V789113 = V626010 + 1. assign V428476 = V933465 - 1. assign V849320 = V700405 + 1. assign V872966 = V372990 + 1. assign V068259 = V990303 - 1. assign V433569 = V208430 + 1. assign V277666 = V841793. assign V383673 = V613858 - 1. assign V750650 = 8. assign V075233 = V888663 + 1. assign V079891 = V257088 - 1. assign V562956 = V874237 + 1. assign V620081 = V150631 + 1. assign V969867 = V841793 - 1. assign V528439 = V908006. assign V677848 = V492220 + 1. assign V978231 = V697044 + 1. assign V986909 = V259869 - 1. assign V908006 = V269351. assign V606474 = V691553 + 1. assign V498352 = V240968. assign V418785 = V786751. assign V623042 = V634959 - 1. assign V967782 = V413090 - 1. assign V841793 = V613858. assign V146844 = V724680. assign V953975 = V102612 - 1. assign V591165 = V750650. assign V467264 = V978358 - 1. assign V953979 = V469944. assign V322059 = V143365 - 1. assign V838113 = V736690. assign V122600 = V165601 + 1. assign V601727 = V215295 + 1. assign V372990 = V750650 - 1. assign V318028 = V570662. assign V112133 = V698845 + 1. assign V649805 = V826317 + 1. assign V150631 = V211469 + 1. assign V211469 = V743422 - 1. assign V368270 = V835562. assign V590255 = V835562 - 1. assign V921300 = V626010 + 1. assign V968232 = V696813 + 1. assign V897555 = V700405. assign V527499 = V156917 + 1. assign V590478 = V222540 + 1. assign V215295 = V654102 - 1. assign V832914 = V585402. assign V124007 = V096509 + 1. assign V102536 = V372990 - 1. assign V525495 = V953979. assign V426868 = V875053 + 1. assign V420633 = V609335 - 1. assign V576522 = V149685 + 1. assign V572247 = V240968 - 1. assign V569793 = V576522 - 1. assign V384801 = V840515 + 1. assign V065367 = V408732. assign V847843 = V833823. assign V745228 = V670536 - 1. assign V071720 = V698408. assign V772372 = V965607 - 1. assign V652498 = V613858 + 1. assign V156917 = V596658 - 1. assign V948435 = V894026 - 1. assign V936124 = V627840 - 1. assign V652317 = V652498 + 1. assign V874237 = V663217 - 1. assign V394862 = V373480 + 1. assign V302144 = V796056 + 1. assign V149671 = V582799. assign V724680 = V613858 - 1. assign V428346 = V564523. assign V275345 = V312490 + 1. assign V759897 = V312490 + 1. assign V736690 = V096509 - 1. assign V167813 = V829726 + 1. assign V729327 = V921300 + 1. assign V762293 = V953979 + 1. assign V942796 = V212674 + 1. assign V203898 = V841793. assign V193326 = V467508 - 1. assign V023962 = V492220 + 1. assign V833823 = V652317 - 1. assign V595150 = V498352. assign V959663 = V978358 + 1. assign V138366 = V322059 + 1. assign V207633 = V626010. assign V693139 = V881792 + 1. assign V355351 = V420633 + 1. assign V772267 = V149812 - 1. assign V066456 = V401584. assign V102612 = V613858. assign V308146 = V421530. assign V547721 = V532869 + 1. assign V523028 = V207633. assign V452614 = V826537 + 1. assign V300838 = V969867 + 1. assign V826537 = V841793 - 1. assign V697044 = V624418. assign V894026 = V342139 + 1. assign V090880 = V826537. assign V499078 = V754240 + 1. assign V257088 = V207633 + 1. assign V360326 = V318028. assign V628336 = V069057 - 1. assign V198362 = V174110 + 1. assign V726469 = V355351. assign V366292 = V499078 - 1. assign V144763 = V549622 + 1. assign V938226 = V841793 + 1. assign V032847 = V613858 - 1. assign V307673 = V021897 - 1. assign V174110 = V562959 + 1. assign V788745 = V196274 + 1. assign V965607 = V585402 - 1. assign V978358 = V789113. assign V385825 = V938226 + 1. assign V492220 = V654102. assign V569863 = V102536 + 1. assign V932191 = V751097 + 1. assign V637540 = V428476. assign V898854 = V826537 + 1. assign V562959 = V293810. assign V757036 = V372990 - 1. assign V165601 = V006141.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V957691 = V623042. assign V898898 = V212674 + 1. assign V173868 = V032847 - 1. assign V006402 = V498352 + 1. assign V143402 = V036505 - 1. assign V069057 = V001581 + 1. assign V639685 = V307673. assign V742606 = V212252. assign V021897 = V492220. assign V819754 = V021897. assign V274629 = V609335 - 1. assign V698845 = V360326 - 1. assign V817478 = V372990 + 1. assign V396443 = V626010 - 1. assign V196274 = V001581 + 1. assign V858419 = V066456 - 1. assign V072300 = V898854. assign V786751 = V274629 + 1. assign V110438 = V936124 - 1. assign V391167 = V957691 + 1. assign V410979 = V203898. assign V662023 = V698408. assign V342139 = V613858 + 1. assign V699470 = V429708. assign V353981 = V444630 + 1. assign V796056 = V469964 + 1. assign V208430 = V277666 - 1. assign V113922 = V833823 - 1. assign V380782 = V898898 + 1. assign V153444 = V072300 + 1. assign V835562 = V499078 - 1. assign V676578 = V318028 + 1. assign V130286 = V835562 + 1. assign V751097 = V942796. assign V634959 = V293810 - 1. assign V091417 = V149685 - 1. assign V961942 = V737558. assign V207926 = V882129 + 1. assign V988059 = V318028 + 1. assign V389695 = V232198 - 1. assign V707349 = V501508 - 1. assign V013976 = V113922. assign V993356 = V149657 - 1. assign V594793 = V203898 + 1. assign V149657 = V840515. assign V304728 = V943772 - 1. assign V373480 = V788745 + 1. assign V274278 = V421530 + 1. assign V605980 = V582799. assign V494728 = V699470. assign V918195 = V772267 - 1. assign V743422 = V102612. assign V471027 = V605980 + 1. assign V149812 = V743422 + 1. assign V096509 = V353981 - 1. assign V898860 = V383673 - 1. assign V829726 = V762293 + 1. assign V501508 = V408732 - 1. assign V628224 = V585402 - 1. assign V609335 = V342139. assign V351363 = V240968. assign V511155 = V523028 + 1. assign V250077 = V102536 - 1. assign V265631 = V826317 - 1. assign V600061 = V084743. assign V686557 = V953979. assign V355739 = V467508 + 1. assign V532869 = V203898 + 1. assign V943772 = V841793. assign V700405 = V758495 + 1. assign V172362 = V943772. assign V627840 = V634959 + 1. assign V888663 = V318028. assign V242583 = V370377. assign V293810 = V613858. assign V826317 = V102612. assign V486603 = V370377. assign V782648 = V662023 + 1. assign V875053 = V001581 + 1. assign V596658 = V789113. assign V408732 = V570662. assign V812578 = V652498 + 1. assign V624418 = V293810. assign V156121 = V912127. assign V747279 = V789113 - 1. assign V469964 = V585402. assign V006141 = V401584. assign V626010 = V102612 + 1. assign V896015 = V232198 - 1. assign V264940 = V072300 + 1. assign V706566 = V918532 - 1. assign V549622 = V491558. assign V727426 = V207633 + 1. assign V758495 = V342139 + 1. assign V609801 = V420633 - 1. assign V134360 = V747279 + 1. assign V304501 = V469964 - 1. assign V886042 = V585402. assign V093460 = V370377 - 1. assign V912127 = V342139. assign V132791 = V670529 - 1. assign V854326 = V355351 + 1. assign V737558 = V277666 - 1. assign V598019 = V351363 - 1. assign V703363 = V652498 - 1. assign V467508 = V428476. assign V399652 = V469964. assign V820803 = V698408 + 1. assign V618688 = V420633 + 1. assign V582799 = V259869 - 1. assign V975600 = V724680 + 1. assign V692645 = V523028. assign V201085 = V875053. assign V964827 = V918195. assign V355191 = V654102. assign V592354 = V211296 + 1. assign V918532 = V499078. assign V618360 = V729327 + 1. assign V370377 = V411668. assign V601544 = V872673. assign V413090 = V656712. assign V691072 = V898898 - 1. assign V269351 = V698408 + 1. assign V670536 = V826317 - 1. assign V754240 = V293810 - 1. assign V136304 = V072300 + 1. assign V001581 = V758495 - 1. assign V835701 = V355351 - 1. assign V397371 = V102604 + 1. assign V474268 = V968232 + 1. assign V240968 = V211469 - 1. assign V872673 = V652498 - 1. assign V570662 = V841793 - 1. assign V840515 = V628224 - 1. assign V429785 = V737558 + 1. assign V421530 = V698408 + 1. assign V444630 = V789113 + 1. assign V881792 = V420633 + 1. assign V656712 = V501508 + 1. assign V645000 = V758495. assign V307156 = V102612 - 1. assign V520431 = V498352. assign V211296 = V149812 + 1. assign V352203 = V720640. assign V424836 = V761332. assign V202422 = V908006 - 1. assign V717213 = V754240 - 1. assign V701765 = V134007 - 1. assign V824413 = V207633 - 1. assign V782039 = V628224 + 1. assign V406852 = V812578 - 1. assign V604956 = V609335 - 1. assign V429395 = V492220. assign V411668 = V499078 - 1. assign V782534 = V499078. assign V759608 = V677848 - 1. assign V222540 = V670536 - 1. assign V894016 = V652498 - 1. assign V381066 = V743422. assign V939901 = V826537. assign V232198 = V693139. assign V401584 = V421530. assign V882129 = V969867. assign V691553 = V381066 + 1. assign V199992 = V894026 - 1. assign V033032 = V342139 - 1. assign V681791 = V618360 + 1. assign V670529 = V938226 + 1. assign V120465 = V156917 - 1. assign V601359 = V212252 - 1. assign V564523 = V745228. assign V429708 = V069057 + 1. assign V134007 = V898898 - 1. assign V985451 = V096103 - 1. assign V487261 = V242583 - 1. assign V579784 = V812578. assign V309504 = V572247. assign V310925 = V654102. assign V226362 = V964761 + 1. assign V469944 = V096509 - 1. assign V654102 = V420633 - 1. assign V438487 = V985451. assign V084743 = V499078 - 1. assign V752675 = V156917 + 1. assign V498156 = V491558 - 1. assign V696813 = V993356. assign V067089 = V149685 + 1. assign V990303 = V598019. assign V392743 = V310925 - 1. assign V149685 = V353981. assign V212031 = V838113 - 1. assign V761332 = V788745. assign V585402 = V401584 - 1. assign V212674 = V743422 + 1. assign V128721 = V933465 + 1. assign V888771 = V383673 - 1. assign V964761 = V700405 + 1. assign V235300 = V706566 + 1. assign V259869 = V938226 + 1. assign V680438 = V652317 + 1. assign V844789 = V021897 - 1. assign V762574 = V429395 + 1. assign V307059 = V758495 + 1. assign V720640 = V948435. assign V531078 = V199992 - 1. assign V094365 = V198362. assign V212252 = V383673. assign V143365 = V724680. assign V491558 = V499078 - 1. assign V036505 = V789297. assign V539000 = V898898 + 1. assign V102604 = V036505. assign V266118 = V872966. assign V789297 = V789113. assign V312490 = V835701 - 1. assign V641408 = V110438 + 1. assign V815311 = V570662 + 1. assign V605547 = V201085 - 1. assign V698408 = V743422 + 1. assign V669413 = V872673. assign V532485 = V174110. assign V933465 = V421530 + 1. assign V096103 = V355351. assign V663217 = V444630. assign V789113 = V626010 + 1. assign V428476 = V933465 - 1. assign V849320 = V700405 + 1. assign V872966 = V372990 + 1. assign V068259 = V990303 - 1. assign V433569 = V208430 + 1. assign V277666 = V841793. assign V383673 = V613858 - 1. assign V750650 = 8. assign V075233 = V888663 + 1. assign V079891 = V257088 - 1. assign V562956 = V874237 + 1. assign V620081 = V150631 + 1. assign V969867 = V841793 - 1. assign V528439 = V908006. assign V677848 = V492220 + 1. assign V978231 = V697044 + 1. assign V986909 = V259869 - 1. assign V908006 = V269351. assign V606474 = V691553 + 1. assign V498352 = V240968. assign V418785 = V786751. assign V623042 = V634959 - 1. assign V967782 = V413090 - 1. assign V841793 = V613858. assign V146844 = V724680. assign V953975 = V102612 - 1. assign V591165 = V750650. assign V467264 = V978358 - 1. assign V953979 = V469944. assign V322059 = V143365 - 1. assign V838113 = V736690. assign V122600 = V165601 + 1. assign V601727 = V215295 + 1. assign V372990 = V750650 - 1. assign V318028 = V570662. assign V112133 = V698845 + 1. assign V649805 = V826317 + 1. assign V150631 = V211469 + 1. assign V211469 = V743422 - 1. assign V368270 = V835562. assign V590255 = V835562 - 1. assign V921300 = V626010 + 1. assign V968232 = V696813 + 1. assign V897555 = V700405. assign V527499 = V156917 + 1. assign V590478 = V222540 + 1. assign V215295 = V654102 - 1. assign V832914 = V585402. assign V124007 = V096509 + 1. assign V102536 = V372990 - 1. assign V525495 = V953979. assign V426868 = V875053 + 1. assign V420633 = V609335 - 1. assign V576522 = V149685 + 1. assign V572247 = V240968 - 1. assign V569793 = V576522 - 1. assign V384801 = V840515 + 1. assign V065367 = V408732. assign V847843 = V833823. assign V745228 = V670536 - 1. assign V071720 = V698408. assign V772372 = V965607 - 1. assign V652498 = V613858 + 1. assign V156917 = V596658 - 1. assign V948435 = V894026 - 1. assign V936124 = V627840 - 1. assign V652317 = V652498 + 1. assign V874237 = V663217 - 1. assign V394862 = V373480 + 1. assign V302144 = V796056 + 1. assign V149671 = V582799. assign V724680 = V613858 - 1. assign V428346 = V564523. assign V275345 = V312490 + 1. assign V759897 = V312490 + 1. assign V736690 = V096509 - 1. assign V167813 = V829726 + 1. assign V729327 = V921300 + 1. assign V762293 = V953979 + 1. assign V942796 = V212674 + 1. assign V203898 = V841793. assign V193326 = V467508 - 1. assign V023962 = V492220 + 1. assign V833823 = V652317 - 1. assign V595150 = V498352. assign V959663 = V978358 + 1. assign V138366 = V322059 + 1. assign V207633 = V626010. assign V693139 = V881792 + 1. assign V355351 = V420633 + 1. assign V772267 = V149812 - 1. assign V066456 = V401584. assign V102612 = V613858. assign V308146 = V421530. assign V547721 = V532869 + 1. assign V523028 = V207633. assign V452614 = V826537 + 1. assign V300838 = V969867 + 1. assign V826537 = V841793 - 1. assign V697044 = V624418. assign V894026 = V342139 + 1. assign V090880 = V826537. assign V499078 = V754240 + 1. assign V257088 = V207633 + 1. assign V360326 = V318028. assign V628336 = V069057 - 1. assign V198362 = V174110 + 1. assign V726469 = V355351. assign V366292 = V499078 - 1. assign V144763 = V549622 + 1. assign V938226 = V841793 + 1. assign V032847 = V613858 - 1. assign V307673 = V021897 - 1. assign V174110 = V562959 + 1. assign V788745 = V196274 + 1. assign V965607 = V585402 - 1. assign V978358 = V789113. assign V385825 = V938226 + 1. assign V492220 = V654102. assign V569863 = V102536 + 1. assign V932191 = V751097 + 1. assign V637540 = V428476. assign V898854 = V826537 + 1. assign V562959 = V293810. assign V757036 = V372990 - 1. assign V165601 = V006141.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV750650 = 8;\n\nFrom these direct assignment(s), we have: \nV372990 = V750650 - 1 = 8 - 1 =7;\nV757036 = V372990 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V757036;\nV102536 = V372990 - 1 = 7 - 1 =6;\nV569863 = V102536 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V569863;\nV250077 = V102536 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V250077;\nNo other varaibles can be derived from V102536;\nV872966 = V372990 + 1 = 7 + 1 =8;\nV266118 = V872966 = 8;\nNo other varaibles can be derived from V266118;\nNo other varaibles can be derived from V872966;\nV817478 = V372990 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V817478;\nNo other varaibles can be derived from V372990;\nV591165 = V750650 = 8;\nNo other varaibles can be derived from V591165;\nNo other varaibles can be derived from V750650;\n\nNow we have done all the calculations. Derived variables are:\nV750650 = 8;\nV372990 = 7;\nV757036 = 6;\nV102536 = 6;\nV569863 = 7;\nV250077 = 5;\nV872966 = 8;\nV266118 = 8;\nV817478 = 8;\nV591165 = 8;\n\nNow we have finished this problem. ANSWER:\nV250077\n", "role": "assistant" } ]

[ "V446788", "V581829", "V197098", "V762319" ]

[ { "content": "<context>\nassign V585990 = V748188 + 1. assign V303312 = V412061 + 1. assign V394754 = V638162 - 1. assign V255089 = V402274 - 1. assign V621447 = V812784 - 1. assign V114088 = V812784 - 1. assign V444800 = V553852 + 1. assign V964266 = V805788 + 1. assign V782220 = V834505 - 1. assign V001740 = V646035 + 1. assign V348557 = V748188. assign V529815 = V109785. assign V648837 = V439087 - 1. assign V372658 = V567251. assign V313653 = V858704 + 1. assign V156708 = V969106. assign V800386 = V360752. assign V497464 = V412061 + 1. assign V699400 = V305774. assign V336401 = V954739 + 1. assign V217896 = V961969 - 1. assign V582761 = V439087. assign V675776 = V184277 - 1. assign V899617 = 6. assign V740608 = V410934 + 1. assign V901439 = V314605. assign V294897 = V954676 - 1. assign V109785 = V055042 + 1. assign V528346 = V964115 - 1. assign V809473 = V439087 + 1. assign V502102 = V352262 + 1. assign V123936 = V944759 - 1. assign V261151 = V609405 - 1. assign V679107 = V020318 + 1. assign V707767 = V402274. assign V709210 = V413272 + 1. assign V017222 = V000028. assign V431006 = V439087 - 1. assign V855545 = V015154. assign V089838 = V049792. assign V056945 = V011295 - 1. assign V431413 = V055042 - 1. assign V441217 = V354717 - 1. assign V355614 = V793404 - 1. assign V043119 = V564964 - 1. assign V195832 = V017999 - 1. assign V392588 = V822477 - 1. assign V027581 = V834505 - 1. assign V033490 = V513076 - 1. assign V858704 = V866198 + 1. assign V020318 = V109499 + 1. assign V385382 = V919260 + 1. assign V157147 = V648837 + 1. assign V278773 = V303312 - 1. assign V638162 = V109499 - 1. assign V567251 = V493278 + 1. assign V798227 = V020318 - 1. assign V354717 = V845295. assign V022731 = V981846 - 1. assign V510772 = V502102 + 1. assign V524705 = V708194 - 1. assign V614058 = V206331 - 1. assign V360752 = V314605 + 1. assign V045427 = V444800 + 1. assign V633483 = V109499 + 1. assign V441498 = V314605 + 1. assign V796626 = V582761 - 1. assign V215045 = V919260 + 1. assign V904905 = V056945 + 1. assign V046298 = V571333 + 1. assign V120653 = V845295 + 1. assign V010692 = V286825. assign V651646 = V867137 + 1. assign V095723 = V027581. assign V546291 = V279405. assign V006554 = V279599 + 1. assign V581829 = V899617 - 1. assign V220020 = V500463. assign V691454 = V493278 - 1. assign V386860 = V264965. assign V787939 = V998386 - 1. assign V357714 = V464501 + 1. assign V784549 = V782220 + 1. assign V571517 = V834505 - 1. assign V511841 = V123936 - 1. assign V081186 = V847414. assign V746677 = V866198 + 1. assign V465023 = V209334. assign V095373 = V556172. assign V957845 = V981846. assign V021413 = V206602 + 1. assign V065442 = V633483 + 1. assign V451584 = V095796 - 1. assign V049792 = V410934. assign V564964 = V500463 + 1. assign V485589 = V172912. assign V010471 = V508018. assign V964115 = V798227. assign V681717 = V493278. assign V102521 = V407127 - 1. assign V272963 = V906372. assign V924148 = V114088 - 1. assign V998386 = V407127 - 1. assign V059827 = V805788 - 1. assign V812784 = V279599. assign V093461 = V465458 - 1. assign V950480 = V702412. assign V661778 = V410934 - 1. assign V420763 = V095723 - 1. assign V764482 = V748188 + 1. assign V432989 = V441217. assign V944759 = V834505 - 1. assign V149434 = V564964 + 1. assign V409096 = V062271. assign V783410 = V964115. assign V738221 = V847414. assign V428064 = V120653 - 1. assign V910823 = V796626. assign V197098 = V446788. assign V241779 = V675776 - 1. assign V179570 = V906372 + 1. assign V189754 = V866198 + 1. assign V965519 = V232163 + 1. assign V782514 = V599123 + 1. assign V009137 = V899617 + 1. assign V553553 = V387565. assign V876753 = V038240 + 1. assign V250994 = V305774 - 1. assign V959262 = V336401 - 1. assign V442621 = V830785. assign V065260 = V006061 + 1. assign V643701 = V027581. assign V575694 = V695628. assign V235860 = V220020. assign V484630 = V006554. assign V402274 = V022731 + 1. assign V357704 = V484630. assign V421795 = V215045 + 1. assign V869735 = V465458 - 1. assign V717099 = V261151 + 1. assign V475869 = V944759 + 1. assign V218019 = V010785. assign V584054 = V800681 + 1. assign V961969 = V043119. assign V488022 = V567251 + 1. assign V830785 = V633483. assign V489893 = V352262. assign V279405 = V567251 + 1. assign V554367 = V847414 - 1. assign V483470 = V675776 + 1. assign V023418 = V899617 + 1. assign V938041 = V138000. assign V849936 = V571333 + 1. assign V413272 = V441217 - 1. assign V000028 = V964115. assign V702412 = V095723 + 1. assign V867137 = V503631 + 1. assign V796359 = V904905 + 1. assign V621436 = V768537. assign V778505 = V255873 - 1. assign V646035 = V599123 + 1. assign V866198 = V876753 + 1. assign V493278 = V945727 - 1. assign V180408 = V583949. assign V265373 = V964266 - 1. assign V651792 = V038240 - 1. assign V969106 = V613414 - 1. assign V613414 = V503631 + 1. assign V095322 = V276609 - 1. assign V141543 = V001740 + 1. assign V066219 = V954739 + 1. assign V286825 = V553852 + 1. assign V521415 = V255089 - 1. assign V986649 = V443997 - 1. assign V380010 = V986649 - 1. assign V954739 = V123936 - 1. assign V509230 = V651646 + 1. assign V038240 = V834505 + 1. assign V429914 = V043500 - 1. assign V962088 = V944759 + 1. assign V553852 = V279599 + 1. assign V508018 = V095796 - 1. assign V062271 = V962088 + 1. assign V500463 = V114088 + 1. assign V115302 = V006554 - 1. assign V209334 = V511841. assign V793404 = V834505 - 1. assign V818951 = V264965 - 1. assign V833436 = V748188 - 1. assign V326819 = V582761 - 1. assign V975557 = V348181. assign V704883 = V055042 + 1. assign V374491 = V553852. assign V131610 = V910823 + 1. assign V334393 = V445542 - 1. assign V879362 = V500463 + 1. assign V387092 = V413272 + 1. assign V708194 = V580273 - 1. assign V228142 = V033490. assign V109499 = V429339 + 1. assign V023339 = V699400 - 1. assign V410334 = V360752. assign V464501 = V646035. assign V175230 = V748188 - 1. assign V014866 = V903727 + 1. assign V932489 = V701832 - 1. assign V156349 = V798227 + 1. assign V055042 = V633483. assign V859117 = V062271. assign V264965 = V407127. assign V221056 = V776706 - 1. assign V903727 = V638162 + 1. assign V685363 = V812784 - 1. assign V599123 = V439087 - 1. assign V781254 = V261151. assign V412899 = V184277 - 1. assign V868569 = V876753. assign V017999 = V109499 - 1. assign V636662 = V184277 - 1. assign V497198 = V095796. assign V465458 = V646035 - 1. assign V772966 = V120653. assign V800681 = V798227 + 1. assign V571333 = V033490 + 1. assign V387565 = V513076 - 1. assign V833851 = V866198. assign V570066 = V017999 - 1. assign V653462 = V784549 + 1. assign V978552 = V702412 - 1. assign V566834 = V413272 + 1. assign V374160 = V564964. assign V341236 = V038240. assign V941132 = V830785 + 1. assign V090855 = V431006. assign V138000 = V046298. assign V668345 = V189754 - 1. assign V701832 = V582761 - 1. assign V362697 = V783410 - 1. assign V485033 = V681717 + 1. assign V753725 = V555513 - 1. assign V832104 = V410934 - 1. assign V096471 = V582761 + 1. assign V834505 = V407127. assign V410773 = V394754 - 1. assign V423225 = V964266 + 1. assign V095796 = V114088 + 1. assign V276609 = V707767 - 1. assign V125220 = V910823 - 1. assign V063933 = V009137 - 1. assign V822477 = V429339. assign V716611 = V702412. assign V575633 = V981846 - 1. assign V206331 = V387092 + 1. assign V230468 = V954739 - 1. assign V583949 = V115302 + 1. assign V513076 = V114088. assign V976635 = V400958 - 1. assign V232163 = V033490 - 1. assign V172912 = V489939. assign V580273 = V805788 - 1. assign V410934 = V772966. assign V816430 = V095796 - 1. assign V407307 = V571333. assign V680869 = V491616 + 1. assign V305774 = V847414. assign V314605 = V646035 + 1. assign V445542 = V633483. assign V279599 = V793404 - 1. assign V797298 = V407127 + 1. assign V128161 = V000028 - 1. assign V668498 = V746677. assign V666833 = V038240 - 1. assign V429339 = V500463 + 1. assign V489939 = V782220 + 1. assign V847414 = V834505 + 1. assign V555513 = V128161. assign V842326 = V432989. assign V417487 = V412061 - 1. assign V291538 = V651646 - 1. assign V672484 = V899617. assign V434333 = V582761 + 1. assign V103524 = V218019 + 1. assign V607658 = V023418 + 1. assign V940853 = V707767 + 1. assign V400958 = V901439 - 1. assign V246184 = V503631 - 1. assign V270633 = V109499 - 1. assign V906372 = V394754 + 1. assign V006061 = V964266 + 1. assign V491616 = V109499 - 1. assign V446788 = V063933 - 1. assign V748188 = V095723. assign V184277 = V491616 - 1. assign V352262 = V954739 - 1. assign V182563 = V270633 - 1. assign V106885 = V043119. assign V914128 = V441498 + 1. assign V144705 = V954739. assign V653484 = V291538 + 1. assign V503975 = V320334 + 1. assign V919260 = V429339 + 1. assign V206602 = V675776 - 1. assign V626459 = V255873. assign V412061 = V847414 - 1. assign V556172 = V879362. assign V308227 = V138000 - 1. assign V439087 = V407127 + 1. assign V768537 = V220020. assign V656124 = V570066 - 1. assign V503631 = V279599 - 1. assign V844016 = V646035. assign V778524 = V115302. assign V945727 = V866198 - 1. assign V546834 = V270633 - 1. assign V082458 = V000028 - 1. assign V981846 = V599123 - 1. assign V805788 = V451584 + 1. assign V255873 = V033490 - 1. assign V191310 = V965519 - 1. assign V609405 = V701832 + 1. assign V339203 = V489939. assign V355795 = V728499 - 1. assign V348181 = V621447. assign V292042 = V230468 + 1. assign V446628 = V439087 + 1. assign V458924 = V336401. assign V411332 = V798227 - 1. assign V944390 = V651646 + 1. assign V555324 = V910823 + 1. assign V015154 = V412061. assign V320334 = V255089 - 1. assign V443920 = V038240 + 1. assign V954676 = V407307 + 1. assign V686945 = V235860. assign V813980 = V255089. assign V762319 = V063933 - 1. assign V443997 = V276609 + 1. assign V755820 = V230468 - 1. assign V010785 = V206331 + 1. assign V346010 = V638162. assign V845295 = V944759 - 1. assign V135682 = V513076 - 1. assign V215108 = V264965. assign V019625 = V950480 - 1. assign V503633 = V959262 - 1. assign V043500 = V045427. assign V695628 = V109499. assign V776706 = V919260 - 1. assign V224273 = V206331. assign V011295 = V599123. assign V728499 = V255873.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V585990 = V748188 + 1. assign V303312 = V412061 + 1. assign V394754 = V638162 - 1. assign V255089 = V402274 - 1. assign V621447 = V812784 - 1. assign V114088 = V812784 - 1. assign V444800 = V553852 + 1. assign V964266 = V805788 + 1. assign V782220 = V834505 - 1. assign V001740 = V646035 + 1. assign V348557 = V748188. assign V529815 = V109785. assign V648837 = V439087 - 1. assign V372658 = V567251. assign V313653 = V858704 + 1. assign V156708 = V969106. assign V800386 = V360752. assign V497464 = V412061 + 1. assign V699400 = V305774. assign V336401 = V954739 + 1. assign V217896 = V961969 - 1. assign V582761 = V439087. assign V675776 = V184277 - 1. assign V899617 = 6. assign V740608 = V410934 + 1. assign V901439 = V314605. assign V294897 = V954676 - 1. assign V109785 = V055042 + 1. assign V528346 = V964115 - 1. assign V809473 = V439087 + 1. assign V502102 = V352262 + 1. assign V123936 = V944759 - 1. assign V261151 = V609405 - 1. assign V679107 = V020318 + 1. assign V707767 = V402274. assign V709210 = V413272 + 1. assign V017222 = V000028. assign V431006 = V439087 - 1. assign V855545 = V015154. assign V089838 = V049792. assign V056945 = V011295 - 1. assign V431413 = V055042 - 1. assign V441217 = V354717 - 1. assign V355614 = V793404 - 1. assign V043119 = V564964 - 1. assign V195832 = V017999 - 1. assign V392588 = V822477 - 1. assign V027581 = V834505 - 1. assign V033490 = V513076 - 1. assign V858704 = V866198 + 1. assign V020318 = V109499 + 1. assign V385382 = V919260 + 1. assign V157147 = V648837 + 1. assign V278773 = V303312 - 1. assign V638162 = V109499 - 1. assign V567251 = V493278 + 1. assign V798227 = V020318 - 1. assign V354717 = V845295. assign V022731 = V981846 - 1. assign V510772 = V502102 + 1. assign V524705 = V708194 - 1. assign V614058 = V206331 - 1. assign V360752 = V314605 + 1. assign V045427 = V444800 + 1. assign V633483 = V109499 + 1. assign V441498 = V314605 + 1. assign V796626 = V582761 - 1. assign V215045 = V919260 + 1. assign V904905 = V056945 + 1. assign V046298 = V571333 + 1. assign V120653 = V845295 + 1. assign V010692 = V286825. assign V651646 = V867137 + 1. assign V095723 = V027581. assign V546291 = V279405. assign V006554 = V279599 + 1. assign V581829 = V899617 - 1. assign V220020 = V500463. assign V691454 = V493278 - 1. assign V386860 = V264965. assign V787939 = V998386 - 1. assign V357714 = V464501 + 1. assign V784549 = V782220 + 1. assign V571517 = V834505 - 1. assign V511841 = V123936 - 1. assign V081186 = V847414. assign V746677 = V866198 + 1. assign V465023 = V209334. assign V095373 = V556172. assign V957845 = V981846. assign V021413 = V206602 + 1. assign V065442 = V633483 + 1. assign V451584 = V095796 - 1. assign V049792 = V410934. assign V564964 = V500463 + 1. assign V485589 = V172912. assign V010471 = V508018. assign V964115 = V798227. assign V681717 = V493278. assign V102521 = V407127 - 1. assign V272963 = V906372. assign V924148 = V114088 - 1. assign V998386 = V407127 - 1. assign V059827 = V805788 - 1. assign V812784 = V279599. assign V093461 = V465458 - 1. assign V950480 = V702412. assign V661778 = V410934 - 1. assign V420763 = V095723 - 1. assign V764482 = V748188 + 1. assign V432989 = V441217. assign V944759 = V834505 - 1. assign V149434 = V564964 + 1. assign V409096 = V062271. assign V783410 = V964115. assign V738221 = V847414. assign V428064 = V120653 - 1. assign V910823 = V796626. assign V197098 = V446788. assign V241779 = V675776 - 1. assign V179570 = V906372 + 1. assign V189754 = V866198 + 1. assign V965519 = V232163 + 1. assign V782514 = V599123 + 1. assign V009137 = V899617 + 1. assign V553553 = V387565. assign V876753 = V038240 + 1. assign V250994 = V305774 - 1. assign V959262 = V336401 - 1. assign V442621 = V830785. assign V065260 = V006061 + 1. assign V643701 = V027581. assign V575694 = V695628. assign V235860 = V220020. assign V484630 = V006554. assign V402274 = V022731 + 1. assign V357704 = V484630. assign V421795 = V215045 + 1. assign V869735 = V465458 - 1. assign V717099 = V261151 + 1. assign V475869 = V944759 + 1. assign V218019 = V010785. assign V584054 = V800681 + 1. assign V961969 = V043119. assign V488022 = V567251 + 1. assign V830785 = V633483. assign V489893 = V352262. assign V279405 = V567251 + 1. assign V554367 = V847414 - 1. assign V483470 = V675776 + 1. assign V023418 = V899617 + 1. assign V938041 = V138000. assign V849936 = V571333 + 1. assign V413272 = V441217 - 1. assign V000028 = V964115. assign V702412 = V095723 + 1. assign V867137 = V503631 + 1. assign V796359 = V904905 + 1. assign V621436 = V768537. assign V778505 = V255873 - 1. assign V646035 = V599123 + 1. assign V866198 = V876753 + 1. assign V493278 = V945727 - 1. assign V180408 = V583949. assign V265373 = V964266 - 1. assign V651792 = V038240 - 1. assign V969106 = V613414 - 1. assign V613414 = V503631 + 1. assign V095322 = V276609 - 1. assign V141543 = V001740 + 1. assign V066219 = V954739 + 1. assign V286825 = V553852 + 1. assign V521415 = V255089 - 1. assign V986649 = V443997 - 1. assign V380010 = V986649 - 1. assign V954739 = V123936 - 1. assign V509230 = V651646 + 1. assign V038240 = V834505 + 1. assign V429914 = V043500 - 1. assign V962088 = V944759 + 1. assign V553852 = V279599 + 1. assign V508018 = V095796 - 1. assign V062271 = V962088 + 1. assign V500463 = V114088 + 1. assign V115302 = V006554 - 1. assign V209334 = V511841. assign V793404 = V834505 - 1. assign V818951 = V264965 - 1. assign V833436 = V748188 - 1. assign V326819 = V582761 - 1. assign V975557 = V348181. assign V704883 = V055042 + 1. assign V374491 = V553852. assign V131610 = V910823 + 1. assign V334393 = V445542 - 1. assign V879362 = V500463 + 1. assign V387092 = V413272 + 1. assign V708194 = V580273 - 1. assign V228142 = V033490. assign V109499 = V429339 + 1. assign V023339 = V699400 - 1. assign V410334 = V360752. assign V464501 = V646035. assign V175230 = V748188 - 1. assign V014866 = V903727 + 1. assign V932489 = V701832 - 1. assign V156349 = V798227 + 1. assign V055042 = V633483. assign V859117 = V062271. assign V264965 = V407127. assign V221056 = V776706 - 1. assign V903727 = V638162 + 1. assign V685363 = V812784 - 1. assign V599123 = V439087 - 1. assign V781254 = V261151. assign V412899 = V184277 - 1. assign V868569 = V876753. assign V017999 = V109499 - 1. assign V636662 = V184277 - 1. assign V497198 = V095796. assign V465458 = V646035 - 1. assign V772966 = V120653. assign V800681 = V798227 + 1. assign V571333 = V033490 + 1. assign V387565 = V513076 - 1. assign V833851 = V866198. assign V570066 = V017999 - 1. assign V653462 = V784549 + 1. assign V978552 = V702412 - 1. assign V566834 = V413272 + 1. assign V374160 = V564964. assign V341236 = V038240. assign V941132 = V830785 + 1. assign V090855 = V431006. assign V138000 = V046298. assign V668345 = V189754 - 1. assign V701832 = V582761 - 1. assign V362697 = V783410 - 1. assign V485033 = V681717 + 1. assign V753725 = V555513 - 1. assign V832104 = V410934 - 1. assign V096471 = V582761 + 1. assign V834505 = V407127. assign V410773 = V394754 - 1. assign V423225 = V964266 + 1. assign V095796 = V114088 + 1. assign V276609 = V707767 - 1. assign V125220 = V910823 - 1. assign V063933 = V009137 - 1. assign V822477 = V429339. assign V716611 = V702412. assign V575633 = V981846 - 1. assign V206331 = V387092 + 1. assign V230468 = V954739 - 1. assign V583949 = V115302 + 1. assign V513076 = V114088. assign V976635 = V400958 - 1. assign V232163 = V033490 - 1. assign V172912 = V489939. assign V580273 = V805788 - 1. assign V410934 = V772966. assign V816430 = V095796 - 1. assign V407307 = V571333. assign V680869 = V491616 + 1. assign V305774 = V847414. assign V314605 = V646035 + 1. assign V445542 = V633483. assign V279599 = V793404 - 1. assign V797298 = V407127 + 1. assign V128161 = V000028 - 1. assign V668498 = V746677. assign V666833 = V038240 - 1. assign V429339 = V500463 + 1. assign V489939 = V782220 + 1. assign V847414 = V834505 + 1. assign V555513 = V128161. assign V842326 = V432989. assign V417487 = V412061 - 1. assign V291538 = V651646 - 1. assign V672484 = V899617. assign V434333 = V582761 + 1. assign V103524 = V218019 + 1. assign V607658 = V023418 + 1. assign V940853 = V707767 + 1. assign V400958 = V901439 - 1. assign V246184 = V503631 - 1. assign V270633 = V109499 - 1. assign V906372 = V394754 + 1. assign V006061 = V964266 + 1. assign V491616 = V109499 - 1. assign V446788 = V063933 - 1. assign V748188 = V095723. assign V184277 = V491616 - 1. assign V352262 = V954739 - 1. assign V182563 = V270633 - 1. assign V106885 = V043119. assign V914128 = V441498 + 1. assign V144705 = V954739. assign V653484 = V291538 + 1. assign V503975 = V320334 + 1. assign V919260 = V429339 + 1. assign V206602 = V675776 - 1. assign V626459 = V255873. assign V412061 = V847414 - 1. assign V556172 = V879362. assign V308227 = V138000 - 1. assign V439087 = V407127 + 1. assign V768537 = V220020. assign V656124 = V570066 - 1. assign V503631 = V279599 - 1. assign V844016 = V646035. assign V778524 = V115302. assign V945727 = V866198 - 1. assign V546834 = V270633 - 1. assign V082458 = V000028 - 1. assign V981846 = V599123 - 1. assign V805788 = V451584 + 1. assign V255873 = V033490 - 1. assign V191310 = V965519 - 1. assign V609405 = V701832 + 1. assign V339203 = V489939. assign V355795 = V728499 - 1. assign V348181 = V621447. assign V292042 = V230468 + 1. assign V446628 = V439087 + 1. assign V458924 = V336401. assign V411332 = V798227 - 1. assign V944390 = V651646 + 1. assign V555324 = V910823 + 1. assign V015154 = V412061. assign V320334 = V255089 - 1. assign V443920 = V038240 + 1. assign V954676 = V407307 + 1. assign V686945 = V235860. assign V813980 = V255089. assign V762319 = V063933 - 1. assign V443997 = V276609 + 1. assign V755820 = V230468 - 1. assign V010785 = V206331 + 1. assign V346010 = V638162. assign V845295 = V944759 - 1. assign V135682 = V513076 - 1. assign V215108 = V264965. assign V019625 = V950480 - 1. assign V503633 = V959262 - 1. assign V043500 = V045427. assign V695628 = V109499. assign V776706 = V919260 - 1. assign V224273 = V206331. assign V011295 = V599123. assign V728499 = V255873.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV899617 = 6;\n\nFrom these direct assignment(s), we have: \nV672484 = V899617 = 6;\nNo other varaibles can be derived from V672484;\nV023418 = V899617 + 1 = 6 + 1 =7;\nV607658 = V023418 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V607658;\nNo other varaibles can be derived from V023418;\nV009137 = V899617 + 1 = 6 + 1 =7;\nV063933 = V009137 - 1 = 7 - 1 =6;\nV762319 = V063933 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V762319;\nV446788 = V063933 - 1 = 6 - 1 =5;\nV197098 = V446788 = 5;\nNo other varaibles can be derived from V197098;\nNo other varaibles can be derived from V446788;\nNo other varaibles can be derived from V063933;\nNo other varaibles can be derived from V009137;\nV581829 = V899617 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V581829;\nNo other varaibles can be derived from V899617;\n\nNow we have done all the calculations. Derived variables are:\nV899617 = 6;\nV672484 = 6;\nV023418 = 7;\nV607658 = 8;\nV009137 = 7;\nV063933 = 6;\nV762319 = 5;\nV446788 = 5;\nV197098 = 5;\nV581829 = 5;\n\nNow we have finished this problem. ANSWER:\nV762319, V446788, V197098, V581829\n", "role": "assistant" } ]

[ "V530939", "V419447", "V726245", "V475579" ]

[ { "content": "<context>\nassign V421342 = V809913 + 1. assign V834473 = V523582 - 1. assign V661349 = V105394. assign V421864 = V388203. assign V718812 = V906744 + 1. assign V017483 = V019121. assign V955705 = V124877 - 1. assign V354229 = V886043. assign V489125 = V729928. assign V889312 = V302273 - 1. assign V306718 = V951953 - 1. assign V949712 = V216976 - 1. assign V058941 = V051139 - 1. assign V250924 = V407636 - 1. assign V281278 = V718090 - 1. assign V318844 = V599697 + 1. assign V051936 = V963838 - 1. assign V973097 = V735856 - 1. assign V344555 = V499665. assign V172155 = V017133. assign V216976 = V529545. assign V721705 = V805903 + 1. assign V039449 = V530473. assign V642477 = V751637 - 1. assign V762062 = V729928 + 1. assign V530473 = V998331. assign V917466 = V193508 - 1. assign V698176 = V529545 - 1. assign V562367 = V175702. assign V453715 = V993157 - 1. assign V500446 = V398694. assign V974339 = V812186. assign V022061 = V471037. assign V807834 = V421342 - 1. assign V750769 = V029936 + 1. assign V407636 = V671630. assign V209975 = V617865. assign V019121 = V002583. assign V905425 = V063566 - 1. assign V378937 = V000922 + 1. assign V014261 = V002583 + 1. assign V690212 = V058941. assign V995407 = V193508. assign V972419 = V942717 + 1. assign V708789 = V802270. assign V844341 = V900487 - 1. assign V571015 = V681379 + 1. assign V638196 = V903255 - 1. assign V664091 = V365578 - 1. assign V667779 = V441491 - 1. assign V520978 = V616791. assign V335026 = V499665 - 1. assign V475579 = V726245. assign V523582 = V678931. assign V149026 = V353961 - 1. assign V039607 = V746565 - 1. assign V992465 = V496995 + 1. assign V438251 = V664509 + 1. assign V042934 = V585255 + 1. assign V680419 = V746279 - 1. assign V812186 = V672953 - 1. assign V419447 = V664509 - 1. assign V708216 = V712815 + 1. assign V751637 = V306718 + 1. assign V535132 = V993157 - 1. assign V599697 = V327070. assign V907983 = V671630 + 1. assign V809913 = V719020 + 1. assign V691216 = V962699 + 1. assign V965309 = V379038 + 1. assign V351722 = V306718 - 1. assign V457747 = V747479 + 1. assign V590197 = V558243. assign V776586 = V351722 + 1. assign V815445 = V571015 + 1. assign V391690 = V886043. assign V668409 = V606620. assign V802270 = V379038 - 1. assign V173959 = V244038. assign V055089 = V638196. assign V838609 = V668409 + 1. assign V618780 = V864215. assign V087418 = V302273. assign V430682 = V173959. assign V892083 = V873471. assign V569148 = V170676 + 1. assign V681379 = V017133. assign V654445 = V612852. assign V546789 = V791654 - 1. assign V645969 = V955705 - 1. assign V500007 = V791654 - 1. assign V074744 = V105394 - 1. assign V996534 = V440010 - 1. assign V845748 = V549841. assign V671630 = V267948 - 1. assign V675256 = V105394 - 1. assign V713587 = V000922 + 1. assign V934930 = V649617 - 1. assign V631839 = V267948 - 1. assign V900487 = V440010. assign V442093 = V311718 - 1. assign V148774 = V951249 - 1. assign V811953 = V430682. assign V352823 = V074744. assign V329037 = V694185. assign V807927 = V124877 - 1. assign V746565 = V388203. assign V052080 = V302273. assign V296404 = V388203. assign V326264 = V671630 + 1. assign V139697 = V355341. assign V576560 = V886043. assign V541208 = V019121 - 1. assign V379668 = V560331 + 1. assign V977299 = V687744. assign V664509 = V530939 + 1. assign V359676 = V720129 - 1. assign V587486 = V735856 - 1. assign V647165 = V751637. assign V856857 = V834473 - 1. assign V712206 = V689856. assign V887317 = V893781. assign V002583 = V124877 + 1. assign V561789 = V254731. assign V596796 = V750230. assign V942717 = V584920 - 1. assign V531187 = V712206 + 1. assign V010169 = V124877 - 1. assign V567217 = V039607 + 1. assign V893781 = V955705 + 1. assign V754929 = V689856. assign V067247 = V172155 + 1. assign V393964 = V746565 - 1. assign V691249 = V013344. assign V933740 = V029615 + 1. assign V530939 = 5. assign V131656 = V074744. assign V525239 = V398694. assign V433743 = V751637 - 1. assign V244038 = V719020. assign V465782 = V442093 + 1. assign V853210 = V833875 - 1. assign V441491 = V966636. assign V109274 = V092842 - 1. assign V375713 = V802270 - 1. assign V832888 = V807927 + 1. assign V193508 = V793825 + 1. assign V197277 = V791654 + 1. assign V064826 = V951249 - 1. assign V678931 = V244038 - 1. assign V051139 = V951953 + 1. assign V472008 = V052699 - 1. assign V864215 = V267948. assign V035359 = V770355 - 1. assign V913717 = V430682. assign V017133 = V951953. assign V365578 = V276174. assign V341505 = V353961 + 1. assign V386344 = V359676. assign V752417 = V040643 + 1. assign V697665 = V955705. assign V756427 = V610668 + 1. assign V993157 = V499665 + 1. assign V211855 = V376478 - 1. assign V472476 = V762062. assign V545899 = V671630 + 1. assign V189033 = V675256 - 1. assign V798420 = V472008 - 1. assign V063566 = V327070. assign V560331 = V807927. assign V539665 = V039607. assign V927341 = V955705 + 1. assign V248579 = V747479 + 1. assign V746279 = V105394 - 1. assign V052699 = V809731 + 1. assign V776624 = V973097 - 1. assign V709175 = V965309. assign V746238 = V149026 - 1. assign V353961 = V973097 + 1. assign V148416 = V017483. assign V720129 = V973097. assign V886991 = V453715 - 1. assign V750230 = V002583 + 1. assign V499665 = V051139 - 1. assign V029936 = V526038 - 1. assign V108519 = V649617. assign V925627 = V421864 - 1. assign V438935 = V058941. assign V355341 = V647165 + 1. assign V091291 = V917466. assign V308446 = V691216 + 1. assign V571819 = V838609 - 1. assign V000922 = V747479 - 1. assign V270156 = V327070 + 1. assign V630409 = V913717. assign V873471 = V546789 + 1. assign V862282 = V925627 + 1. assign V966636 = V064826 + 1. assign V162112 = V681379 + 1. assign V124877 = V051139 - 1. assign V687744 = V951249. assign V671928 = V117082 + 1. assign V999815 = V492751. assign V719009 = V955705. assign V874378 = V438251. assign V948893 = V631839. assign V833875 = V690212. assign V770355 = V802270 - 1. assign V995762 = V951249 + 1. assign V747479 = V955705 - 1. assign V302273 = V244038 + 1. assign V507664 = V433743 + 1. assign V611974 = V719009. assign V906744 = V672953. assign V311718 = V955705 + 1. assign V788630 = V148416 - 1. assign V105394 = V951953 - 1. assign V501552 = V013344 + 1. assign V967491 = V299559 + 1. assign V998331 = V148774 + 1. assign V117082 = V776624 - 1. assign V556893 = V039607 + 1. assign V545424 = V617865 - 1. assign V093523 = V248579. assign V588856 = V526038 - 1. assign V934435 = V893781. assign V759439 = V746565 - 1. assign V617108 = V642477 - 1. assign V811572 = V087418 - 1. assign V327070 = V440010. assign V254731 = V124877 - 1. assign V471037 = V973097 - 1. assign V786519 = V735856 + 1. assign V496995 = V052080. assign V587204 = V955705 - 1. assign V735856 = V993157 + 1. assign V267948 = V949712 - 1. assign V788046 = V162112 - 1. assign V403766 = V546789. assign V760798 = V014261. assign V656726 = V051936. assign V322103 = V175702. assign V276174 = V353961. assign V558243 = V927341. assign V760719 = V967777 + 1. assign V376478 = V074744 - 1. assign V141358 = V900487 - 1. assign V809731 = V375271. assign V573600 = V529545. assign V767354 = V719020. assign V927830 = V584920 + 1. assign V717844 = V746279. assign V649617 = V747479. assign V855767 = V807927 - 1. assign V565905 = V896907 - 1. assign V005663 = V998331 - 1. assign V719020 = V029936. assign V774233 = V712815 - 1. assign V867813 = V896907 + 1. assign V203142 = V906744 + 1. assign V388203 = V746279 + 1. assign V492751 = V375713 + 1. assign V858367 = V302273. assign V729928 = V735856. assign V087012 = V951953 - 1. assign V967777 = V105394 + 1. assign V689856 = V306718 + 1. assign V287690 = V148774 + 1. assign V856200 = V951953 - 1. assign V668033 = V440010 + 1. assign V246188 = V173973 + 1. assign V742993 = V529545. assign V963838 = V642477 + 1. assign V896022 = V809913 - 1. assign V549841 = V172155 - 1. assign V092842 = V616791. assign V718090 = V754929 + 1. assign V610668 = V352823 + 1. assign V089725 = V649617. assign V270802 = V322103 + 1. assign V173973 = V029936 + 1. assign V851410 = V013344 + 1. assign V844221 = V421342. assign V951249 = V850631. assign V400279 = V746279 + 1. assign V526038 = V124877. assign V040643 = V791654 + 1. assign V528107 = V152527 - 1. assign V175702 = V942717. assign V440010 = V529545 + 1. assign V931228 = V344555 - 1. assign V734357 = V680419 - 1. assign V672953 = V612852 + 1. assign V664485 = V562367 - 1. assign V010860 = V664091 - 1. assign V492966 = V729928 + 1. assign V285958 = V523582 - 1. assign V763958 = V029615. assign V315319 = V864215 + 1. assign V347918 = V585255 - 1. assign V152527 = V499665. assign V712815 = V874378 + 1. assign V398301 = V667779 + 1. assign V423444 = V499665. assign V116689 = V281278. assign V180027 = V216976 + 1. assign V616791 = V064826. assign V903255 = V124877. assign V850631 = V689856 + 1. assign V392974 = V681379 + 1. assign V312578 = V131656 + 1. assign V887050 = V931228 - 1. assign V612852 = V051139. assign V379038 = V344555 - 1. assign V398694 = V526038 - 1. assign V760061 = V089725 - 1. assign V061985 = V949712 + 1. assign V029615 = V571015 - 1. assign V529545 = V681379 - 1. assign V299559 = V528107. assign V053656 = V379038. assign V096038 = V172155 - 1. assign V624529 = V442093 + 1. assign V589183 = V433743 - 1. assign V563966 = V746279 + 1. assign V016470 = V061985 + 1. assign V759009 = V719020. assign V013344 = V064826. assign V224466 = V526038 + 1. assign V375271 = V754929 - 1. assign V805903 = V927341 - 1. assign V690084 = V896022 + 1. assign V617865 = V680419 - 1. assign V289184 = V407636 + 1. assign V896907 = V709175 - 1. assign V726245 = V419447. assign V895225 = V180027. assign V606620 = V791654 + 1. assign V585255 = V893781 + 1. assign V962699 = V148774 + 1. assign V538164 = V720129 - 1. assign V170676 = V365578 + 1. assign V308568 = V496995. assign V886043 = V244038 + 1. assign V694185 = V903255 + 1. assign V420605 = V927341 + 1. assign V793825 = V526038. assign V791654 = V105394 - 1. assign V160289 = V927341 - 1. assign V059248 = V788046 + 1. assign V584920 = V612852.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V421342 = V809913 + 1. assign V834473 = V523582 - 1. assign V661349 = V105394. assign V421864 = V388203. assign V718812 = V906744 + 1. assign V017483 = V019121. assign V955705 = V124877 - 1. assign V354229 = V886043. assign V489125 = V729928. assign V889312 = V302273 - 1. assign V306718 = V951953 - 1. assign V949712 = V216976 - 1. assign V058941 = V051139 - 1. assign V250924 = V407636 - 1. assign V281278 = V718090 - 1. assign V318844 = V599697 + 1. assign V051936 = V963838 - 1. assign V973097 = V735856 - 1. assign V344555 = V499665. assign V172155 = V017133. assign V216976 = V529545. assign V721705 = V805903 + 1. assign V039449 = V530473. assign V642477 = V751637 - 1. assign V762062 = V729928 + 1. assign V530473 = V998331. assign V917466 = V193508 - 1. assign V698176 = V529545 - 1. assign V562367 = V175702. assign V453715 = V993157 - 1. assign V500446 = V398694. assign V974339 = V812186. assign V022061 = V471037. assign V807834 = V421342 - 1. assign V750769 = V029936 + 1. assign V407636 = V671630. assign V209975 = V617865. assign V019121 = V002583. assign V905425 = V063566 - 1. assign V378937 = V000922 + 1. assign V014261 = V002583 + 1. assign V690212 = V058941. assign V995407 = V193508. assign V972419 = V942717 + 1. assign V708789 = V802270. assign V844341 = V900487 - 1. assign V571015 = V681379 + 1. assign V638196 = V903255 - 1. assign V664091 = V365578 - 1. assign V667779 = V441491 - 1. assign V520978 = V616791. assign V335026 = V499665 - 1. assign V475579 = V726245. assign V523582 = V678931. assign V149026 = V353961 - 1. assign V039607 = V746565 - 1. assign V992465 = V496995 + 1. assign V438251 = V664509 + 1. assign V042934 = V585255 + 1. assign V680419 = V746279 - 1. assign V812186 = V672953 - 1. assign V419447 = V664509 - 1. assign V708216 = V712815 + 1. assign V751637 = V306718 + 1. assign V535132 = V993157 - 1. assign V599697 = V327070. assign V907983 = V671630 + 1. assign V809913 = V719020 + 1. assign V691216 = V962699 + 1. assign V965309 = V379038 + 1. assign V351722 = V306718 - 1. assign V457747 = V747479 + 1. assign V590197 = V558243. assign V776586 = V351722 + 1. assign V815445 = V571015 + 1. assign V391690 = V886043. assign V668409 = V606620. assign V802270 = V379038 - 1. assign V173959 = V244038. assign V055089 = V638196. assign V838609 = V668409 + 1. assign V618780 = V864215. assign V087418 = V302273. assign V430682 = V173959. assign V892083 = V873471. assign V569148 = V170676 + 1. assign V681379 = V017133. assign V654445 = V612852. assign V546789 = V791654 - 1. assign V645969 = V955705 - 1. assign V500007 = V791654 - 1. assign V074744 = V105394 - 1. assign V996534 = V440010 - 1. assign V845748 = V549841. assign V671630 = V267948 - 1. assign V675256 = V105394 - 1. assign V713587 = V000922 + 1. assign V934930 = V649617 - 1. assign V631839 = V267948 - 1. assign V900487 = V440010. assign V442093 = V311718 - 1. assign V148774 = V951249 - 1. assign V811953 = V430682. assign V352823 = V074744. assign V329037 = V694185. assign V807927 = V124877 - 1. assign V746565 = V388203. assign V052080 = V302273. assign V296404 = V388203. assign V326264 = V671630 + 1. assign V139697 = V355341. assign V576560 = V886043. assign V541208 = V019121 - 1. assign V379668 = V560331 + 1. assign V977299 = V687744. assign V664509 = V530939 + 1. assign V359676 = V720129 - 1. assign V587486 = V735856 - 1. assign V647165 = V751637. assign V856857 = V834473 - 1. assign V712206 = V689856. assign V887317 = V893781. assign V002583 = V124877 + 1. assign V561789 = V254731. assign V596796 = V750230. assign V942717 = V584920 - 1. assign V531187 = V712206 + 1. assign V010169 = V124877 - 1. assign V567217 = V039607 + 1. assign V893781 = V955705 + 1. assign V754929 = V689856. assign V067247 = V172155 + 1. assign V393964 = V746565 - 1. assign V691249 = V013344. assign V933740 = V029615 + 1. assign V530939 = 5. assign V131656 = V074744. assign V525239 = V398694. assign V433743 = V751637 - 1. assign V244038 = V719020. assign V465782 = V442093 + 1. assign V853210 = V833875 - 1. assign V441491 = V966636. assign V109274 = V092842 - 1. assign V375713 = V802270 - 1. assign V832888 = V807927 + 1. assign V193508 = V793825 + 1. assign V197277 = V791654 + 1. assign V064826 = V951249 - 1. assign V678931 = V244038 - 1. assign V051139 = V951953 + 1. assign V472008 = V052699 - 1. assign V864215 = V267948. assign V035359 = V770355 - 1. assign V913717 = V430682. assign V017133 = V951953. assign V365578 = V276174. assign V341505 = V353961 + 1. assign V386344 = V359676. assign V752417 = V040643 + 1. assign V697665 = V955705. assign V756427 = V610668 + 1. assign V993157 = V499665 + 1. assign V211855 = V376478 - 1. assign V472476 = V762062. assign V545899 = V671630 + 1. assign V189033 = V675256 - 1. assign V798420 = V472008 - 1. assign V063566 = V327070. assign V560331 = V807927. assign V539665 = V039607. assign V927341 = V955705 + 1. assign V248579 = V747479 + 1. assign V746279 = V105394 - 1. assign V052699 = V809731 + 1. assign V776624 = V973097 - 1. assign V709175 = V965309. assign V746238 = V149026 - 1. assign V353961 = V973097 + 1. assign V148416 = V017483. assign V720129 = V973097. assign V886991 = V453715 - 1. assign V750230 = V002583 + 1. assign V499665 = V051139 - 1. assign V029936 = V526038 - 1. assign V108519 = V649617. assign V925627 = V421864 - 1. assign V438935 = V058941. assign V355341 = V647165 + 1. assign V091291 = V917466. assign V308446 = V691216 + 1. assign V571819 = V838609 - 1. assign V000922 = V747479 - 1. assign V270156 = V327070 + 1. assign V630409 = V913717. assign V873471 = V546789 + 1. assign V862282 = V925627 + 1. assign V966636 = V064826 + 1. assign V162112 = V681379 + 1. assign V124877 = V051139 - 1. assign V687744 = V951249. assign V671928 = V117082 + 1. assign V999815 = V492751. assign V719009 = V955705. assign V874378 = V438251. assign V948893 = V631839. assign V833875 = V690212. assign V770355 = V802270 - 1. assign V995762 = V951249 + 1. assign V747479 = V955705 - 1. assign V302273 = V244038 + 1. assign V507664 = V433743 + 1. assign V611974 = V719009. assign V906744 = V672953. assign V311718 = V955705 + 1. assign V788630 = V148416 - 1. assign V105394 = V951953 - 1. assign V501552 = V013344 + 1. assign V967491 = V299559 + 1. assign V998331 = V148774 + 1. assign V117082 = V776624 - 1. assign V556893 = V039607 + 1. assign V545424 = V617865 - 1. assign V093523 = V248579. assign V588856 = V526038 - 1. assign V934435 = V893781. assign V759439 = V746565 - 1. assign V617108 = V642477 - 1. assign V811572 = V087418 - 1. assign V327070 = V440010. assign V254731 = V124877 - 1. assign V471037 = V973097 - 1. assign V786519 = V735856 + 1. assign V496995 = V052080. assign V587204 = V955705 - 1. assign V735856 = V993157 + 1. assign V267948 = V949712 - 1. assign V788046 = V162112 - 1. assign V403766 = V546789. assign V760798 = V014261. assign V656726 = V051936. assign V322103 = V175702. assign V276174 = V353961. assign V558243 = V927341. assign V760719 = V967777 + 1. assign V376478 = V074744 - 1. assign V141358 = V900487 - 1. assign V809731 = V375271. assign V573600 = V529545. assign V767354 = V719020. assign V927830 = V584920 + 1. assign V717844 = V746279. assign V649617 = V747479. assign V855767 = V807927 - 1. assign V565905 = V896907 - 1. assign V005663 = V998331 - 1. assign V719020 = V029936. assign V774233 = V712815 - 1. assign V867813 = V896907 + 1. assign V203142 = V906744 + 1. assign V388203 = V746279 + 1. assign V492751 = V375713 + 1. assign V858367 = V302273. assign V729928 = V735856. assign V087012 = V951953 - 1. assign V967777 = V105394 + 1. assign V689856 = V306718 + 1. assign V287690 = V148774 + 1. assign V856200 = V951953 - 1. assign V668033 = V440010 + 1. assign V246188 = V173973 + 1. assign V742993 = V529545. assign V963838 = V642477 + 1. assign V896022 = V809913 - 1. assign V549841 = V172155 - 1. assign V092842 = V616791. assign V718090 = V754929 + 1. assign V610668 = V352823 + 1. assign V089725 = V649617. assign V270802 = V322103 + 1. assign V173973 = V029936 + 1. assign V851410 = V013344 + 1. assign V844221 = V421342. assign V951249 = V850631. assign V400279 = V746279 + 1. assign V526038 = V124877. assign V040643 = V791654 + 1. assign V528107 = V152527 - 1. assign V175702 = V942717. assign V440010 = V529545 + 1. assign V931228 = V344555 - 1. assign V734357 = V680419 - 1. assign V672953 = V612852 + 1. assign V664485 = V562367 - 1. assign V010860 = V664091 - 1. assign V492966 = V729928 + 1. assign V285958 = V523582 - 1. assign V763958 = V029615. assign V315319 = V864215 + 1. assign V347918 = V585255 - 1. assign V152527 = V499665. assign V712815 = V874378 + 1. assign V398301 = V667779 + 1. assign V423444 = V499665. assign V116689 = V281278. assign V180027 = V216976 + 1. assign V616791 = V064826. assign V903255 = V124877. assign V850631 = V689856 + 1. assign V392974 = V681379 + 1. assign V312578 = V131656 + 1. assign V887050 = V931228 - 1. assign V612852 = V051139. assign V379038 = V344555 - 1. assign V398694 = V526038 - 1. assign V760061 = V089725 - 1. assign V061985 = V949712 + 1. assign V029615 = V571015 - 1. assign V529545 = V681379 - 1. assign V299559 = V528107. assign V053656 = V379038. assign V096038 = V172155 - 1. assign V624529 = V442093 + 1. assign V589183 = V433743 - 1. assign V563966 = V746279 + 1. assign V016470 = V061985 + 1. assign V759009 = V719020. assign V013344 = V064826. assign V224466 = V526038 + 1. assign V375271 = V754929 - 1. assign V805903 = V927341 - 1. assign V690084 = V896022 + 1. assign V617865 = V680419 - 1. assign V289184 = V407636 + 1. assign V896907 = V709175 - 1. assign V726245 = V419447. assign V895225 = V180027. assign V606620 = V791654 + 1. assign V585255 = V893781 + 1. assign V962699 = V148774 + 1. assign V538164 = V720129 - 1. assign V170676 = V365578 + 1. assign V308568 = V496995. assign V886043 = V244038 + 1. assign V694185 = V903255 + 1. assign V420605 = V927341 + 1. assign V793825 = V526038. assign V791654 = V105394 - 1. assign V160289 = V927341 - 1. assign V059248 = V788046 + 1. assign V584920 = V612852.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV530939 = 5;\n\nFrom these direct assignment(s), we have: \nV664509 = V530939 + 1 = 5 + 1 =6;\nV419447 = V664509 - 1 = 6 - 1 =5;\nV726245 = V419447 = 5;\nV475579 = V726245 = 5;\nNo other varaibles can be derived from V475579;\nNo other varaibles can be derived from V726245;\nNo other varaibles can be derived from V419447;\nV438251 = V664509 + 1 = 6 + 1 =7;\nV874378 = V438251 = 7;\nV712815 = V874378 + 1 = 7 + 1 =8;\nV774233 = V712815 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V774233;\nV708216 = V712815 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V708216;\nNo other varaibles can be derived from V712815;\nNo other varaibles can be derived from V874378;\nNo other varaibles can be derived from V438251;\nNo other varaibles can be derived from V664509;\nNo other varaibles can be derived from V530939;\n\nNow we have done all the calculations. Derived variables are:\nV530939 = 5;\nV664509 = 6;\nV419447 = 5;\nV726245 = 5;\nV475579 = 5;\nV438251 = 7;\nV874378 = 7;\nV712815 = 8;\nV774233 = 7;\nV708216 = 9;\n\nNow we have finished this problem. ANSWER:\nV530939, V419447, V726245, V475579\n", "role": "assistant" } ]

[ "V647513" ]

[ { "content": "<context>\nassign V070971 = V416999 - 1. assign V327876 = V957316 + 1. assign V626387 = V973694 + 1. assign V963331 = V301534. assign V341621 = V867894 - 1. assign V072281 = V972955 + 1. assign V364453 = V738946 + 1. assign V390257 = V471143 + 1. assign V418706 = V676069 + 1. assign V248850 = V747247. assign V945996 = V867960 + 1. assign V902306 = V803227. assign V045805 = V747247 - 1. assign V771820 = V563099 + 1. assign V803227 = V624560 + 1. assign V523361 = V364453 - 1. assign V867960 = V053472 + 1. assign V471918 = V120657 + 1. assign V265422 = V293499 - 1. assign V637940 = V288723 - 1. assign V503782 = V455442 + 1. assign V246868 = V276658 + 1. assign V557653 = V855393 - 1. assign V229026 = V204829 + 1. assign V345540 = V827974 + 1. assign V738946 = V235487 + 1. assign V253976 = V945996. assign V013441 = V159450. assign V040839 = V747247 + 1. assign V099945 = V208256 - 1. assign V338589 = V070971 - 1. assign V392406 = V027291. assign V595797 = V327737 - 1. assign V653932 = V332674. assign V739282 = V190211. assign V330432 = V473643 - 1. assign V806118 = V851697 + 1. assign V499224 = V297272 + 1. assign V716219 = V051792. assign V584512 = V855973 + 1. assign V075024 = V803227 + 1. assign V968984 = V835125 + 1. assign V190211 = V425686 + 1. assign V772871 = V819440 + 1. assign V647513 = V841917 + 1. assign V286200 = V504408. assign V877119 = V425686. assign V662815 = V297272. assign V237484 = V120657. assign V569509 = V747247. assign V828097 = V862862 - 1. assign V940662 = V030075 + 1. assign V120657 = V151872 + 1. assign V206855 = V104841 - 1. assign V931874 = V867960 + 1. assign V564937 = V159450 + 1. assign V341512 = V229594 + 1. assign V551415 = V380443. assign V973694 = V557410 + 1. assign V851697 = V732875 + 1. assign V577844 = V972955 + 1. assign V427490 = V236118 - 1. assign V898385 = V013441. assign V916815 = V973448. assign V972646 = V827974 + 1. assign V297272 = V330902. assign V000167 = V193636 - 1. assign V835125 = V847391. assign V254088 = V364453 + 1. assign V887322 = V301358 - 1. assign V481088 = V298253. assign V242666 = V851697 + 1. assign V434792 = V084899. assign V927350 = V843247 - 1. assign V810873 = V070971. assign V590547 = V298253. assign V948746 = V810873. assign V030075 = V193636 - 1. assign V087019 = V066891 + 1. assign V336530 = V089942. assign V219325 = V253976. assign V314913 = V382677. assign V532169 = V959109. assign V567032 = V382625. assign V546938 = V332674 + 1. assign V692638 = V732875 - 1. assign V333001 = V398721. assign V144887 = V672273 + 1. assign V416999 = V738946 + 1. assign V699598 = V523760 - 1. assign V980406 = V659350 - 1. assign V904081 = V089942 + 1. assign V208256 = V081187 - 1. assign V104841 = V040839 + 1. assign V723329 = V154436 - 1. assign V559275 = V320888 - 1. assign V872038 = V540883. assign V838714 = V692638 - 1. assign V870325 = V933804 - 1. assign V855279 = V301534 - 1. assign V491828 = V880589 - 1. assign V476755 = V976195 - 1. assign V675400 = V666915 + 1. assign V979616 = V557410 - 1. assign V192484 = V504408 + 1. assign V244604 = V301358 - 1. assign V624560 = V425686 + 1. assign V512886 = V248170 + 1. assign V015988 = V557653 - 1. assign V697217 = V747247 + 1. assign V189915 = V945996. assign V137697 = V336530. assign V957316 = V738946 + 1. assign V984443 = V867894 + 1. assign V431606 = V032706 + 1. assign V617534 = V423015 - 1. assign V045139 = V111272 + 1. assign V382625 = V827974. assign V234191 = V448076. assign V736911 = V090663. assign V430761 = V301358. assign V136356 = V503538 - 1. assign V866029 = V259315. assign V199791 = V382625 + 1. assign V301358 = V338589 + 1. assign V545116 = V855279 - 1. assign V784480 = V557653 - 1. assign V681342 = V242666. assign V229594 = V855279 - 1. assign V084899 = V898385 - 1. assign V557410 = V235487. assign V458358 = V471918 + 1. assign V902776 = V625007. assign V855393 = V070971 - 1. assign V427491 = V330902. assign V730951 = V427663 + 1. assign V976195 = V000791 + 1. assign V283161 = V423854 - 1. assign V880589 = V637940 + 1. assign V628054 = V827974. assign V066891 = V575366 + 1. assign V280884 = V765197 - 1. assign V867894 = V855973 - 1. assign V440741 = V144887 + 1. assign V382677 = V952505 + 1. assign V075220 = V945996 + 1. assign V659350 = V819440 + 1. assign V027291 = V427663 - 1. assign V174311 = V945996 - 1. assign V676069 = V973694 + 1. assign V549986 = V154436 - 1. assign V758448 = V235487. assign V090663 = V330432 - 1. assign V276658 = V425686. assign V158170 = V467592 + 1. assign V525759 = V154436 - 1. assign V467592 = V557410 - 1. assign V625007 = V738946 - 1. assign V747247 = V190211 - 1. assign V220005 = V973694 - 1. assign V293499 = V569509 + 1. assign V698354 = V357264 + 1. assign V176998 = V357137 - 1. assign V320888 = V236118 - 1. assign V161195 = V081187 - 1. assign V081187 = V448076. assign V800543 = V297272 - 1. assign V121397 = V747247. assign V168320 = V637940 + 1. assign V680475 = V431947 - 1. assign V400314 = V698354 - 1. assign V088700 = V219325 + 1. assign V089942 = V357264 - 1. assign V563099 = V195290. assign V540883 = V357137. assign V670452 = V259315 + 1. assign V666307 = V826157 - 1. assign V952724 = V473643 - 1. assign V843247 = V286200 + 1. assign V969684 = V470989 - 1. assign V276103 = V471918 + 1. assign V724362 = V675400. assign V166871 = V617534 + 1. assign V662125 = V151872. assign V312864 = V862862 - 1. assign V688630 = V628054 + 1. assign V204246 = V327876 + 1. assign V004007 = V855973. assign V784245 = V959109 + 1. assign V142967 = V637940 - 1. assign V933804 = V898385. assign V193636 = V286200 + 1. assign V190377 = V880589 + 1. assign V940358 = V473643. assign V473643 = V425686. assign V259315 = V455442 + 1. assign V447973 = V628054 + 1. assign V555573 = V390257. assign V292992 = V525759 - 1. assign V498769 = V190211 - 1. assign V357137 = V557410 + 1. assign V710534 = V957316. assign V361765 = V357264 - 1. assign V979001 = V730867 + 1. assign V528293 = V187077. assign V654370 = V803227 - 1. assign V053472 = V236118. assign V575366 = V380443. assign V431947 = V862862. assign V568116 = V933591 + 1. assign V204829 = V320888. assign V434790 = V364453. assign V973448 = V747247 - 1. assign V827974 = V666915 - 1. assign V918190 = V713332 - 1. assign V380443 = V747247 - 1. assign V959109 = V855279 + 1. assign V944123 = V151872 + 1. assign V110346 = V345540. assign V666915 = V867960. assign V288723 = V549986 - 1. assign V672273 = V656329 + 1. assign V849266 = V301534. assign V673057 = V738946 - 1. assign V963440 = V670452. assign V219373 = V503538 - 1. assign V414073 = V338589 + 1. assign V377993 = V235487 - 1. assign V570431 = V187077 - 1. assign V933591 = V424487. assign V870962 = V438561 + 1. assign V398721 = V080612. assign V550170 = V099557. assign V984172 = V193636 + 1. assign V111272 = V030075. assign V330902 = V470989. assign V732875 = V341621 - 1. assign V354608 = V855687. assign V248170 = V855973 - 1. assign V159450 = V176998 + 1. assign V491637 = V557410 - 1. assign V551478 = V855687 + 1. assign V887588 = V099557 - 1. assign V448076 = V666915. assign V470989 = V867960. assign V058097 = V843247. assign V424487 = V185290 + 1. assign V841917 = V458358. assign V327737 = V625007 - 1. assign V351398 = V747247 + 1. assign V298253 = V159450. assign V227395 = V193636. assign V681293 = V698354 + 1. assign V848203 = V738946 - 1. assign V855973 = V235487 + 1. assign V963341 = V819114 + 1. assign V471143 = V666915 + 1. assign V235487 = V236118 - 1. assign V423854 = V470989 + 1. assign V345534 = V867894 + 1. assign V172706 = V624560 - 1. assign V687106 = V708873. assign V169815 = V590547. assign V685611 = V713332 + 1. assign V489545 = V827974 - 1. assign V959076 = V431947 + 1. assign V567089 = V039451 - 1. assign V886710 = V327737. assign V154436 = V738946. assign V504408 = V236118 + 1. assign V983604 = V176998 + 1. assign V438665 = V969684. assign V679071 = V382625. assign V104724 = V471143 + 1. assign V039451 = V551478. assign V932035 = V470989. assign V735804 = V448076 + 1. assign V450710 = V666915 - 1. assign V713332 = V425686 + 1. assign V503541 = V957316 - 1. assign V996374 = V193636 + 1. assign V514914 = V470989. assign V500484 = V219325 - 1. assign V530016 = V176998 - 1. assign V542081 = V948746. assign V225596 = V185290 - 1. assign V187077 = V030075. assign V832115 = V626387 - 1. assign V423015 = V984172. assign V723018 = V423015. assign V301534 = V236118. assign V988435 = V666307 + 1. assign V080612 = V159450 + 1. assign V952505 = V427490 - 1. assign V195290 = V219325 + 1. assign V862862 = V504408 - 1. assign V326189 = V235487. assign V834125 = V045805. assign V913900 = V765197. assign V819114 = V424487 + 1. assign V319282 = V732875 + 1. assign V846107 = V880589. assign V438561 = V416999. assign V051229 = V940662 - 1. assign V185290 = V364453 + 1. assign V523760 = V330902 - 1. assign V032706 = V193636 - 1. assign V995072 = V298253 + 1. assign V151872 = 7. assign V336431 = V933591. assign V186956 = V301534 - 1. assign V258038 = V557410 - 1. assign V730867 = V666915. assign V192242 = V569509 + 1. assign V987129 = V425686 - 1. assign V000791 = V666915 + 1. assign V104519 = V973448 - 1. assign V654102 = V973694 + 1. assign V448828 = V590547. assign V847391 = V190211. assign V782798 = V855279. assign V689169 = V427491 - 1. assign V998209 = V867960. assign V819440 = V292992. assign V202306 = V176998. assign V708873 = V545116 + 1. assign V576335 = V570431. assign V427663 = V423015 - 1. assign V826157 = V827974 + 1. assign V578540 = V080612 - 1. assign V099557 = V204829. assign V765197 = V176998 + 1. assign V380302 = V913900 + 1. assign V357264 = V624560 - 1. assign V151746 = V455442. assign V566357 = V030075 + 1. assign V332674 = V867894. assign V566483 = V195290 + 1. assign V855687 = V979616. assign V081611 = V455442 + 1. assign V503538 = V364453 + 1. assign V824251 = V730951 - 1. assign V425686 = V357137 - 1. assign V244090 = V471143 + 1. assign V455442 = V835125. assign V640196 = V849266. assign V972955 = V747247 + 1. assign V439788 = V826157 - 1. assign V537013 = V771820. assign V656329 = V357137 - 1. assign V051792 = V848203 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V070971 = V416999 - 1. assign V327876 = V957316 + 1. assign V626387 = V973694 + 1. assign V963331 = V301534. assign V341621 = V867894 - 1. assign V072281 = V972955 + 1. assign V364453 = V738946 + 1. assign V390257 = V471143 + 1. assign V418706 = V676069 + 1. assign V248850 = V747247. assign V945996 = V867960 + 1. assign V902306 = V803227. assign V045805 = V747247 - 1. assign V771820 = V563099 + 1. assign V803227 = V624560 + 1. assign V523361 = V364453 - 1. assign V867960 = V053472 + 1. assign V471918 = V120657 + 1. assign V265422 = V293499 - 1. assign V637940 = V288723 - 1. assign V503782 = V455442 + 1. assign V246868 = V276658 + 1. assign V557653 = V855393 - 1. assign V229026 = V204829 + 1. assign V345540 = V827974 + 1. assign V738946 = V235487 + 1. assign V253976 = V945996. assign V013441 = V159450. assign V040839 = V747247 + 1. assign V099945 = V208256 - 1. assign V338589 = V070971 - 1. assign V392406 = V027291. assign V595797 = V327737 - 1. assign V653932 = V332674. assign V739282 = V190211. assign V330432 = V473643 - 1. assign V806118 = V851697 + 1. assign V499224 = V297272 + 1. assign V716219 = V051792. assign V584512 = V855973 + 1. assign V075024 = V803227 + 1. assign V968984 = V835125 + 1. assign V190211 = V425686 + 1. assign V772871 = V819440 + 1. assign V647513 = V841917 + 1. assign V286200 = V504408. assign V877119 = V425686. assign V662815 = V297272. assign V237484 = V120657. assign V569509 = V747247. assign V828097 = V862862 - 1. assign V940662 = V030075 + 1. assign V120657 = V151872 + 1. assign V206855 = V104841 - 1. assign V931874 = V867960 + 1. assign V564937 = V159450 + 1. assign V341512 = V229594 + 1. assign V551415 = V380443. assign V973694 = V557410 + 1. assign V851697 = V732875 + 1. assign V577844 = V972955 + 1. assign V427490 = V236118 - 1. assign V898385 = V013441. assign V916815 = V973448. assign V972646 = V827974 + 1. assign V297272 = V330902. assign V000167 = V193636 - 1. assign V835125 = V847391. assign V254088 = V364453 + 1. assign V887322 = V301358 - 1. assign V481088 = V298253. assign V242666 = V851697 + 1. assign V434792 = V084899. assign V927350 = V843247 - 1. assign V810873 = V070971. assign V590547 = V298253. assign V948746 = V810873. assign V030075 = V193636 - 1. assign V087019 = V066891 + 1. assign V336530 = V089942. assign V219325 = V253976. assign V314913 = V382677. assign V532169 = V959109. assign V567032 = V382625. assign V546938 = V332674 + 1. assign V692638 = V732875 - 1. assign V333001 = V398721. assign V144887 = V672273 + 1. assign V416999 = V738946 + 1. assign V699598 = V523760 - 1. assign V980406 = V659350 - 1. assign V904081 = V089942 + 1. assign V208256 = V081187 - 1. assign V104841 = V040839 + 1. assign V723329 = V154436 - 1. assign V559275 = V320888 - 1. assign V872038 = V540883. assign V838714 = V692638 - 1. assign V870325 = V933804 - 1. assign V855279 = V301534 - 1. assign V491828 = V880589 - 1. assign V476755 = V976195 - 1. assign V675400 = V666915 + 1. assign V979616 = V557410 - 1. assign V192484 = V504408 + 1. assign V244604 = V301358 - 1. assign V624560 = V425686 + 1. assign V512886 = V248170 + 1. assign V015988 = V557653 - 1. assign V697217 = V747247 + 1. assign V189915 = V945996. assign V137697 = V336530. assign V957316 = V738946 + 1. assign V984443 = V867894 + 1. assign V431606 = V032706 + 1. assign V617534 = V423015 - 1. assign V045139 = V111272 + 1. assign V382625 = V827974. assign V234191 = V448076. assign V736911 = V090663. assign V430761 = V301358. assign V136356 = V503538 - 1. assign V866029 = V259315. assign V199791 = V382625 + 1. assign V301358 = V338589 + 1. assign V545116 = V855279 - 1. assign V784480 = V557653 - 1. assign V681342 = V242666. assign V229594 = V855279 - 1. assign V084899 = V898385 - 1. assign V557410 = V235487. assign V458358 = V471918 + 1. assign V902776 = V625007. assign V855393 = V070971 - 1. assign V427491 = V330902. assign V730951 = V427663 + 1. assign V976195 = V000791 + 1. assign V283161 = V423854 - 1. assign V880589 = V637940 + 1. assign V628054 = V827974. assign V066891 = V575366 + 1. assign V280884 = V765197 - 1. assign V867894 = V855973 - 1. assign V440741 = V144887 + 1. assign V382677 = V952505 + 1. assign V075220 = V945996 + 1. assign V659350 = V819440 + 1. assign V027291 = V427663 - 1. assign V174311 = V945996 - 1. assign V676069 = V973694 + 1. assign V549986 = V154436 - 1. assign V758448 = V235487. assign V090663 = V330432 - 1. assign V276658 = V425686. assign V158170 = V467592 + 1. assign V525759 = V154436 - 1. assign V467592 = V557410 - 1. assign V625007 = V738946 - 1. assign V747247 = V190211 - 1. assign V220005 = V973694 - 1. assign V293499 = V569509 + 1. assign V698354 = V357264 + 1. assign V176998 = V357137 - 1. assign V320888 = V236118 - 1. assign V161195 = V081187 - 1. assign V081187 = V448076. assign V800543 = V297272 - 1. assign V121397 = V747247. assign V168320 = V637940 + 1. assign V680475 = V431947 - 1. assign V400314 = V698354 - 1. assign V088700 = V219325 + 1. assign V089942 = V357264 - 1. assign V563099 = V195290. assign V540883 = V357137. assign V670452 = V259315 + 1. assign V666307 = V826157 - 1. assign V952724 = V473643 - 1. assign V843247 = V286200 + 1. assign V969684 = V470989 - 1. assign V276103 = V471918 + 1. assign V724362 = V675400. assign V166871 = V617534 + 1. assign V662125 = V151872. assign V312864 = V862862 - 1. assign V688630 = V628054 + 1. assign V204246 = V327876 + 1. assign V004007 = V855973. assign V784245 = V959109 + 1. assign V142967 = V637940 - 1. assign V933804 = V898385. assign V193636 = V286200 + 1. assign V190377 = V880589 + 1. assign V940358 = V473643. assign V473643 = V425686. assign V259315 = V455442 + 1. assign V447973 = V628054 + 1. assign V555573 = V390257. assign V292992 = V525759 - 1. assign V498769 = V190211 - 1. assign V357137 = V557410 + 1. assign V710534 = V957316. assign V361765 = V357264 - 1. assign V979001 = V730867 + 1. assign V528293 = V187077. assign V654370 = V803227 - 1. assign V053472 = V236118. assign V575366 = V380443. assign V431947 = V862862. assign V568116 = V933591 + 1. assign V204829 = V320888. assign V434790 = V364453. assign V973448 = V747247 - 1. assign V827974 = V666915 - 1. assign V918190 = V713332 - 1. assign V380443 = V747247 - 1. assign V959109 = V855279 + 1. assign V944123 = V151872 + 1. assign V110346 = V345540. assign V666915 = V867960. assign V288723 = V549986 - 1. assign V672273 = V656329 + 1. assign V849266 = V301534. assign V673057 = V738946 - 1. assign V963440 = V670452. assign V219373 = V503538 - 1. assign V414073 = V338589 + 1. assign V377993 = V235487 - 1. assign V570431 = V187077 - 1. assign V933591 = V424487. assign V870962 = V438561 + 1. assign V398721 = V080612. assign V550170 = V099557. assign V984172 = V193636 + 1. assign V111272 = V030075. assign V330902 = V470989. assign V732875 = V341621 - 1. assign V354608 = V855687. assign V248170 = V855973 - 1. assign V159450 = V176998 + 1. assign V491637 = V557410 - 1. assign V551478 = V855687 + 1. assign V887588 = V099557 - 1. assign V448076 = V666915. assign V470989 = V867960. assign V058097 = V843247. assign V424487 = V185290 + 1. assign V841917 = V458358. assign V327737 = V625007 - 1. assign V351398 = V747247 + 1. assign V298253 = V159450. assign V227395 = V193636. assign V681293 = V698354 + 1. assign V848203 = V738946 - 1. assign V855973 = V235487 + 1. assign V963341 = V819114 + 1. assign V471143 = V666915 + 1. assign V235487 = V236118 - 1. assign V423854 = V470989 + 1. assign V345534 = V867894 + 1. assign V172706 = V624560 - 1. assign V687106 = V708873. assign V169815 = V590547. assign V685611 = V713332 + 1. assign V489545 = V827974 - 1. assign V959076 = V431947 + 1. assign V567089 = V039451 - 1. assign V886710 = V327737. assign V154436 = V738946. assign V504408 = V236118 + 1. assign V983604 = V176998 + 1. assign V438665 = V969684. assign V679071 = V382625. assign V104724 = V471143 + 1. assign V039451 = V551478. assign V932035 = V470989. assign V735804 = V448076 + 1. assign V450710 = V666915 - 1. assign V713332 = V425686 + 1. assign V503541 = V957316 - 1. assign V996374 = V193636 + 1. assign V514914 = V470989. assign V500484 = V219325 - 1. assign V530016 = V176998 - 1. assign V542081 = V948746. assign V225596 = V185290 - 1. assign V187077 = V030075. assign V832115 = V626387 - 1. assign V423015 = V984172. assign V723018 = V423015. assign V301534 = V236118. assign V988435 = V666307 + 1. assign V080612 = V159450 + 1. assign V952505 = V427490 - 1. assign V195290 = V219325 + 1. assign V862862 = V504408 - 1. assign V326189 = V235487. assign V834125 = V045805. assign V913900 = V765197. assign V819114 = V424487 + 1. assign V319282 = V732875 + 1. assign V846107 = V880589. assign V438561 = V416999. assign V051229 = V940662 - 1. assign V185290 = V364453 + 1. assign V523760 = V330902 - 1. assign V032706 = V193636 - 1. assign V995072 = V298253 + 1. assign V151872 = 7. assign V336431 = V933591. assign V186956 = V301534 - 1. assign V258038 = V557410 - 1. assign V730867 = V666915. assign V192242 = V569509 + 1. assign V987129 = V425686 - 1. assign V000791 = V666915 + 1. assign V104519 = V973448 - 1. assign V654102 = V973694 + 1. assign V448828 = V590547. assign V847391 = V190211. assign V782798 = V855279. assign V689169 = V427491 - 1. assign V998209 = V867960. assign V819440 = V292992. assign V202306 = V176998. assign V708873 = V545116 + 1. assign V576335 = V570431. assign V427663 = V423015 - 1. assign V826157 = V827974 + 1. assign V578540 = V080612 - 1. assign V099557 = V204829. assign V765197 = V176998 + 1. assign V380302 = V913900 + 1. assign V357264 = V624560 - 1. assign V151746 = V455442. assign V566357 = V030075 + 1. assign V332674 = V867894. assign V566483 = V195290 + 1. assign V855687 = V979616. assign V081611 = V455442 + 1. assign V503538 = V364453 + 1. assign V824251 = V730951 - 1. assign V425686 = V357137 - 1. assign V244090 = V471143 + 1. assign V455442 = V835125. assign V640196 = V849266. assign V972955 = V747247 + 1. assign V439788 = V826157 - 1. assign V537013 = V771820. assign V656329 = V357137 - 1. assign V051792 = V848203 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV151872 = 7;\n\nFrom these direct assignment(s), we have: \nV944123 = V151872 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V944123;\nV662125 = V151872 = 7;\nNo other varaibles can be derived from V662125;\nV120657 = V151872 + 1 = 7 + 1 =8;\nV237484 = V120657 = 8;\nNo other varaibles can be derived from V237484;\nV471918 = V120657 + 1 = 8 + 1 =9;\nV276103 = V471918 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V276103;\nV458358 = V471918 + 1 = 9 + 1 =10;\nV841917 = V458358 = 10;\nV647513 = V841917 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V647513;\nNo other varaibles can be derived from V841917;\nNo other varaibles can be derived from V458358;\nNo other varaibles can be derived from V471918;\nNo other varaibles can be derived from V120657;\nNo other varaibles can be derived from V151872;\n\nNow we have done all the calculations. Derived variables are:\nV151872 = 7;\nV944123 = 8;\nV662125 = 7;\nV120657 = 8;\nV237484 = 8;\nV471918 = 9;\nV276103 = 10;\nV458358 = 10;\nV841917 = 10;\nV647513 = 11;\n\nNow we have finished this problem. ANSWER:\nV647513\n", "role": "assistant" } ]

[ "V729028" ]

[ { "content": "<context>\nassign V161557 = V542932 - 1. assign V637836 = V000597. assign V858325 = V629746. assign V775647 = V800770 + 1. assign V302419 = V698965 - 1. assign V037069 = V901741 + 1. assign V903902 = V841974. assign V714595 = V207900. assign V760373 = V198667. assign V523371 = V363619 + 1. assign V628415 = V160607 - 1. assign V525498 = V154497 + 1. assign V762851 = V305527 + 1. assign V176101 = V349295 + 1. assign V838400 = V860268. assign V387523 = V363619. assign V876403 = V063291 + 1. assign V042056 = V599438 + 1. assign V509139 = V994317. assign V066973 = V550048 + 1. assign V779506 = V936780 - 1. assign V129367 = V026476. assign V667011 = V722043. assign V101610 = V361776. assign V070916 = V971116 + 1. assign V546194 = V628415 - 1. assign V977581 = V628415. assign V915495 = V363619 + 1. assign V570306 = V272354 - 1. assign V420151 = V648057 - 1. assign V199036 = V861091. assign V744657 = V949949 + 1. assign V800770 = V291339 + 1. assign V076206 = V862489 - 1. assign V963241 = V860268 - 1. assign V901741 = V447040. assign V997217 = V412192 - 1. assign V542318 = V688275 + 1. assign V855717 = V515720. assign V674402 = V156742 - 1. assign V991209 = V190262 + 1. assign V411802 = V622538. assign V897375 = V529719 + 1. assign V608920 = V971116. assign V270765 = V112380 + 1. assign V446031 = V409599 + 1. assign V873731 = V535420 + 1. assign V899082 = V779506 + 1. assign V206393 = V298280 - 1. assign V823395 = V302953 + 1. assign V254701 = V475769. assign V625995 = V363619 - 1. assign V603567 = V157332 + 1. assign V838021 = V231606 - 1. assign V020768 = V525498 + 1. assign V636805 = V206393 - 1. assign V040881 = V561207 + 1. assign V670223 = V361776 + 1. assign V063774 = V992763 - 1. assign V583746 = V447040. assign V849717 = V291339 - 1. assign V086389 = V474562 - 1. assign V118612 = V446393 - 1. assign V991005 = V298280. assign V329693 = V458572 + 1. assign V506483 = V648057 - 1. assign V824016 = V718005. assign V320023 = V457812 - 1. assign V341870 = V376110 - 1. assign V632157 = V888535. assign V446076 = V520058. assign V207653 = V632157 - 1. assign V311494 = V136684 - 1. assign V555493 = V106638. assign V970240 = V480496. assign V301819 = V474562 - 1. assign V136684 = V852347. assign V808113 = V624898 + 1. assign V227786 = V855695 + 1. assign V271254 = V624191 - 1. assign V699103 = V887147 + 1. assign V581892 = V660376 - 1. assign V094872 = V718005 + 1. assign V675889 = V569027 + 1. assign V417967 = V773074 + 1. assign V622538 = V823395 + 1. assign V821978 = V121845. assign V729028 = V757813 + 1. assign V330141 = V775647 - 1. assign V474562 = V507347. assign V737022 = V474562 + 1. assign V985129 = V094872. assign V858476 = V207900 - 1. assign V444235 = V714595 + 1. assign V429092 = V550048 + 1. assign V970435 = V198667 - 1. assign V289892 = V334328 - 1. assign V775525 = V291339. assign V661480 = V458572 + 1. assign V660376 = V492381 - 1. assign V757813 = V542471 + 1. assign V219522 = V963241. assign V421729 = V334328 - 1. assign V626254 = V566057 + 1. assign V919714 = V177020 + 1. assign V687622 = V555493 - 1. assign V862489 = V569027 + 1. assign V489850 = V506483 + 1. assign V864135 = V175078. assign V189260 = V206393 + 1. assign V128360 = V446076 - 1. assign V225393 = V698965 + 1. assign V606547 = V773074 - 1. assign V198667 = V698965. assign V346219 = V674402 + 1. assign V542471 = V871084 + 1. assign V553940 = V312131 + 1. assign V270005 = V725165 + 1. assign V091180 = V106638 + 1. assign V314463 = V388531. assign V388531 = V231606. assign V200317 = V000597 - 1. assign V338369 = V899082. assign V669900 = V156742 + 1. assign V700563 = V861091 + 1. assign V476971 = V175078. assign V172889 = V823869 + 1. assign V688275 = V458871 + 1. assign V088811 = V301794 - 1. assign V743798 = V291339. assign V836393 = V766263 + 1. assign V305527 = V542471 - 1. assign V788519 = V897375 + 1. assign V784414 = V542932. assign V782380 = V129367. assign V631279 = V899082 + 1. assign V333442 = V417967 - 1. assign V720926 = V824016 + 1. assign V157332 = V888535 - 1. assign V492381 = V828483. assign V160607 = V680426 - 1. assign V434218 = V289892. assign V888535 = V523371 + 1. assign V695354 = V637836. assign V325976 = V030534. assign V549481 = V138761 - 1. assign V499798 = V970240. assign V994317 = V852347 + 1. assign V173481 = V603567 - 1. assign V627876 = V423893 - 1. assign V975732 = V661480. assign V785257 = V888535 + 1. assign V030534 = V973479 + 1. assign V725165 = V349295. assign V624191 = V198667 + 1. assign V687188 = V947543 - 1. assign V126855 = V233983. assign V703797 = V779506 - 1. assign V629746 = V773074 + 1. assign V648057 = V779506. assign V106638 = V901741 + 1. assign V617765 = V301794. assign V031205 = V233112. assign V066867 = V489850. assign V026476 = V648057 - 1. assign V746548 = V797786 - 1. assign V599438 = V675889 - 1. assign V160002 = V529719 - 1. assign V718005 = V284647 + 1. assign V500365 = V895831 - 1. assign V855695 = V291339. assign V012163 = V475769 - 1. assign V560263 = V206393 + 1. assign V852347 = V447040 - 1. assign V156742 = V688275 - 1. assign V031087 = V932373. assign V127618 = V703797 + 1. assign V801811 = V037069 - 1. assign V933315 = V550048. assign V119825 = V720926. assign V169440 = V423893. assign V121845 = V492381 - 1. assign V475769 = V595618. assign V063291 = V528160. assign V458572 = V363619 + 1. assign V066430 = V743798 + 1. assign V217787 = V606547 + 1. assign V954217 = V628415 - 1. assign V223811 = V033085 + 1. assign V304650 = V550048 + 1. assign V509443 = V919714 + 1. assign V112380 = V291339 - 1. assign V159510 = V278985 - 1. assign V877596 = V156742 + 1. assign V457812 = V703797. assign V795705 = V895831. assign V033085 = V138761 - 1. assign V000597 = V417967 - 1. assign V207900 = V258673. assign V302953 = V703797 + 1. assign V507347 = V675889 - 1. assign V154497 = V849717 + 1. assign V447040 = V606547. assign V650368 = V525498 - 1. assign V405918 = V823395 + 1. assign V722043 = V991005. assign V971116 = V458871 + 1. assign V297654 = V660376 - 1. assign V268369 = V037069 - 1. assign V581464 = V603567 - 1. assign V317419 = V808554. assign V175078 = V388531 + 1. assign V669932 = V314463 + 1. assign V605498 = V627876 - 1. assign V340316 = V855695 + 1. assign V361776 = V376110 + 1. assign V094245 = V270765. assign V340682 = V841974 - 1. assign V301794 = V971116. assign V828483 = V291339 - 1. assign V871084 = 3. assign V423893 = V190262 + 1. assign V340327 = V933315. assign V376110 = V000597 + 1. assign V550048 = V717041. assign V272354 = V779506 + 1. assign V808554 = V515720. assign V006599 = V779506 + 1. assign V432669 = V495846 - 1. assign V766263 = V106638 + 1. assign V005459 = V302953 + 1. assign V231360 = V136522 + 1. assign V231606 = V595618 + 1. assign V599002 = V417967 + 1. assign V104960 = V420151. assign V753483 = V595618 + 1. assign V907539 = V873731 - 1. assign V861091 = V198667. assign V233983 = V992763 - 1. assign V422705 = V157332 - 1. assign V322981 = V458572 - 1. assign V841974 = V782380 - 1. assign V262838 = V128360. assign V511261 = V529719 + 1. assign V795379 = V203795. assign V363619 = V901741 - 1. assign V104321 = V599002 + 1. assign V558020 = V447040 + 1. assign V233112 = V624191. assign V732808 = V507347 - 1. assign V312131 = V420151 + 1. assign V259654 = V823395. assign V177020 = V233112 + 1. assign V871410 = V637836 - 1. assign V708160 = V838021. assign V860268 = V198667 + 1. assign V992763 = V458871 - 1. assign V723561 = V838021 - 1. assign V718150 = V688275 - 1. assign V309744 = V773074 - 1. assign V291339 = V717041. assign V797786 = V680426 + 1. assign V495846 = V963241 - 1. assign V481088 = V340327 - 1. assign V574466 = V542471 + 1. assign V258673 = V302953. assign V560928 = V717041 - 1. assign V535420 = V168392 + 1. assign V561207 = V744657 + 1. assign V973479 = V549481. assign V715524 = V363619. assign V528160 = V388531 + 1. assign V872275 = V233983 - 1. assign V962554 = V901741 - 1. assign V412192 = V888535 - 1. assign V542932 = V936780. assign V153113 = V266714 - 1. assign V923971 = V031205 + 1. assign V090384 = V773074. assign V284647 = V561207 - 1. assign V624898 = V743798 - 1. assign V515720 = V936780 - 1. assign V856434 = V932373 + 1. assign V409599 = V775525 - 1. assign V671959 = V219522. assign V794892 = V305527 - 1. assign V595618 = V936780 - 1. assign V566057 = V698965. assign V349237 = V121845 + 1. assign V132156 = V855717. assign V334328 = V506483 - 1. assign V317017 = V907539. assign V431752 = V447040. assign V035200 = V574466. assign V773074 = V936780. assign V183859 = V836393. assign V043588 = V312131. assign V520058 = V474562 - 1. assign V053528 = V175078. assign V151641 = V203795 + 1. assign V113331 = V725165 + 1. assign V895831 = V138761 - 1. assign V480496 = V550048. assign V446393 = V718150. assign V558578 = V506483 - 1. assign V680426 = V717041 + 1. assign V368627 = V675889 + 1. assign V949949 = V515720 + 1. assign V168392 = V138761 + 1. assign V302474 = V675889. assign V298280 = V949949 - 1. assign V921734 = V688275 - 1. assign V629591 = V698965 + 1. assign V659710 = V504797. assign V203795 = V680426. assign V278985 = V376110 - 1. assign V342960 = V762851 + 1. assign V027612 = V421729 - 1. assign V138761 = V606547. assign V504797 = V270765 - 1. assign V136522 = V199036 + 1. assign V302323 = V091180 + 1. assign V349295 = V507347. assign V987346 = V271254. assign V524021 = V322981. assign V887147 = V302474. assign V458871 = V629746. assign V432573 = V284647 + 1. assign V660344 = V434218 - 1. assign V029261 = V949949 + 1. assign V020114 = V624898 + 1. assign V569027 = V773074 - 1. assign V284827 = V198667. assign V035862 = V718150. assign V932373 = V606547. assign V823869 = V219522 - 1. assign V947543 = V349295 + 1. assign V717041 = V862489 - 1. assign V621931 = V000597. assign V204595 = V703797 + 1. assign V159020 = V198667 - 1. assign V394342 = V432669. assign V302210 = V991005. assign V423576 = V000597. assign V529719 = V507347 + 1. assign V521828 = V603567 + 1. assign V698965 = V291339 + 1. assign V184167 = V515720 + 1. assign V878944 = V936780 - 1. assign V190262 = V888535. assign V266714 = V291339 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V161557 = V542932 - 1. assign V637836 = V000597. assign V858325 = V629746. assign V775647 = V800770 + 1. assign V302419 = V698965 - 1. assign V037069 = V901741 + 1. assign V903902 = V841974. assign V714595 = V207900. assign V760373 = V198667. assign V523371 = V363619 + 1. assign V628415 = V160607 - 1. assign V525498 = V154497 + 1. assign V762851 = V305527 + 1. assign V176101 = V349295 + 1. assign V838400 = V860268. assign V387523 = V363619. assign V876403 = V063291 + 1. assign V042056 = V599438 + 1. assign V509139 = V994317. assign V066973 = V550048 + 1. assign V779506 = V936780 - 1. assign V129367 = V026476. assign V667011 = V722043. assign V101610 = V361776. assign V070916 = V971116 + 1. assign V546194 = V628415 - 1. assign V977581 = V628415. assign V915495 = V363619 + 1. assign V570306 = V272354 - 1. assign V420151 = V648057 - 1. assign V199036 = V861091. assign V744657 = V949949 + 1. assign V800770 = V291339 + 1. assign V076206 = V862489 - 1. assign V963241 = V860268 - 1. assign V901741 = V447040. assign V997217 = V412192 - 1. assign V542318 = V688275 + 1. assign V855717 = V515720. assign V674402 = V156742 - 1. assign V991209 = V190262 + 1. assign V411802 = V622538. assign V897375 = V529719 + 1. assign V608920 = V971116. assign V270765 = V112380 + 1. assign V446031 = V409599 + 1. assign V873731 = V535420 + 1. assign V899082 = V779506 + 1. assign V206393 = V298280 - 1. assign V823395 = V302953 + 1. assign V254701 = V475769. assign V625995 = V363619 - 1. assign V603567 = V157332 + 1. assign V838021 = V231606 - 1. assign V020768 = V525498 + 1. assign V636805 = V206393 - 1. assign V040881 = V561207 + 1. assign V670223 = V361776 + 1. assign V063774 = V992763 - 1. assign V583746 = V447040. assign V849717 = V291339 - 1. assign V086389 = V474562 - 1. assign V118612 = V446393 - 1. assign V991005 = V298280. assign V329693 = V458572 + 1. assign V506483 = V648057 - 1. assign V824016 = V718005. assign V320023 = V457812 - 1. assign V341870 = V376110 - 1. assign V632157 = V888535. assign V446076 = V520058. assign V207653 = V632157 - 1. assign V311494 = V136684 - 1. assign V555493 = V106638. assign V970240 = V480496. assign V301819 = V474562 - 1. assign V136684 = V852347. assign V808113 = V624898 + 1. assign V227786 = V855695 + 1. assign V271254 = V624191 - 1. assign V699103 = V887147 + 1. assign V581892 = V660376 - 1. assign V094872 = V718005 + 1. assign V675889 = V569027 + 1. assign V417967 = V773074 + 1. assign V622538 = V823395 + 1. assign V821978 = V121845. assign V729028 = V757813 + 1. assign V330141 = V775647 - 1. assign V474562 = V507347. assign V737022 = V474562 + 1. assign V985129 = V094872. assign V858476 = V207900 - 1. assign V444235 = V714595 + 1. assign V429092 = V550048 + 1. assign V970435 = V198667 - 1. assign V289892 = V334328 - 1. assign V775525 = V291339. assign V661480 = V458572 + 1. assign V660376 = V492381 - 1. assign V757813 = V542471 + 1. assign V219522 = V963241. assign V421729 = V334328 - 1. assign V626254 = V566057 + 1. assign V919714 = V177020 + 1. assign V687622 = V555493 - 1. assign V862489 = V569027 + 1. assign V489850 = V506483 + 1. assign V864135 = V175078. assign V189260 = V206393 + 1. assign V128360 = V446076 - 1. assign V225393 = V698965 + 1. assign V606547 = V773074 - 1. assign V198667 = V698965. assign V346219 = V674402 + 1. assign V542471 = V871084 + 1. assign V553940 = V312131 + 1. assign V270005 = V725165 + 1. assign V091180 = V106638 + 1. assign V314463 = V388531. assign V388531 = V231606. assign V200317 = V000597 - 1. assign V338369 = V899082. assign V669900 = V156742 + 1. assign V700563 = V861091 + 1. assign V476971 = V175078. assign V172889 = V823869 + 1. assign V688275 = V458871 + 1. assign V088811 = V301794 - 1. assign V743798 = V291339. assign V836393 = V766263 + 1. assign V305527 = V542471 - 1. assign V788519 = V897375 + 1. assign V784414 = V542932. assign V782380 = V129367. assign V631279 = V899082 + 1. assign V333442 = V417967 - 1. assign V720926 = V824016 + 1. assign V157332 = V888535 - 1. assign V492381 = V828483. assign V160607 = V680426 - 1. assign V434218 = V289892. assign V888535 = V523371 + 1. assign V695354 = V637836. assign V325976 = V030534. assign V549481 = V138761 - 1. assign V499798 = V970240. assign V994317 = V852347 + 1. assign V173481 = V603567 - 1. assign V627876 = V423893 - 1. assign V975732 = V661480. assign V785257 = V888535 + 1. assign V030534 = V973479 + 1. assign V725165 = V349295. assign V624191 = V198667 + 1. assign V687188 = V947543 - 1. assign V126855 = V233983. assign V703797 = V779506 - 1. assign V629746 = V773074 + 1. assign V648057 = V779506. assign V106638 = V901741 + 1. assign V617765 = V301794. assign V031205 = V233112. assign V066867 = V489850. assign V026476 = V648057 - 1. assign V746548 = V797786 - 1. assign V599438 = V675889 - 1. assign V160002 = V529719 - 1. assign V718005 = V284647 + 1. assign V500365 = V895831 - 1. assign V855695 = V291339. assign V012163 = V475769 - 1. assign V560263 = V206393 + 1. assign V852347 = V447040 - 1. assign V156742 = V688275 - 1. assign V031087 = V932373. assign V127618 = V703797 + 1. assign V801811 = V037069 - 1. assign V933315 = V550048. assign V119825 = V720926. assign V169440 = V423893. assign V121845 = V492381 - 1. assign V475769 = V595618. assign V063291 = V528160. assign V458572 = V363619 + 1. assign V066430 = V743798 + 1. assign V217787 = V606547 + 1. assign V954217 = V628415 - 1. assign V223811 = V033085 + 1. assign V304650 = V550048 + 1. assign V509443 = V919714 + 1. assign V112380 = V291339 - 1. assign V159510 = V278985 - 1. assign V877596 = V156742 + 1. assign V457812 = V703797. assign V795705 = V895831. assign V033085 = V138761 - 1. assign V000597 = V417967 - 1. assign V207900 = V258673. assign V302953 = V703797 + 1. assign V507347 = V675889 - 1. assign V154497 = V849717 + 1. assign V447040 = V606547. assign V650368 = V525498 - 1. assign V405918 = V823395 + 1. assign V722043 = V991005. assign V971116 = V458871 + 1. assign V297654 = V660376 - 1. assign V268369 = V037069 - 1. assign V581464 = V603567 - 1. assign V317419 = V808554. assign V175078 = V388531 + 1. assign V669932 = V314463 + 1. assign V605498 = V627876 - 1. assign V340316 = V855695 + 1. assign V361776 = V376110 + 1. assign V094245 = V270765. assign V340682 = V841974 - 1. assign V301794 = V971116. assign V828483 = V291339 - 1. assign V871084 = 3. assign V423893 = V190262 + 1. assign V340327 = V933315. assign V376110 = V000597 + 1. assign V550048 = V717041. assign V272354 = V779506 + 1. assign V808554 = V515720. assign V006599 = V779506 + 1. assign V432669 = V495846 - 1. assign V766263 = V106638 + 1. assign V005459 = V302953 + 1. assign V231360 = V136522 + 1. assign V231606 = V595618 + 1. assign V599002 = V417967 + 1. assign V104960 = V420151. assign V753483 = V595618 + 1. assign V907539 = V873731 - 1. assign V861091 = V198667. assign V233983 = V992763 - 1. assign V422705 = V157332 - 1. assign V322981 = V458572 - 1. assign V841974 = V782380 - 1. assign V262838 = V128360. assign V511261 = V529719 + 1. assign V795379 = V203795. assign V363619 = V901741 - 1. assign V104321 = V599002 + 1. assign V558020 = V447040 + 1. assign V233112 = V624191. assign V732808 = V507347 - 1. assign V312131 = V420151 + 1. assign V259654 = V823395. assign V177020 = V233112 + 1. assign V871410 = V637836 - 1. assign V708160 = V838021. assign V860268 = V198667 + 1. assign V992763 = V458871 - 1. assign V723561 = V838021 - 1. assign V718150 = V688275 - 1. assign V309744 = V773074 - 1. assign V291339 = V717041. assign V797786 = V680426 + 1. assign V495846 = V963241 - 1. assign V481088 = V340327 - 1. assign V574466 = V542471 + 1. assign V258673 = V302953. assign V560928 = V717041 - 1. assign V535420 = V168392 + 1. assign V561207 = V744657 + 1. assign V973479 = V549481. assign V715524 = V363619. assign V528160 = V388531 + 1. assign V872275 = V233983 - 1. assign V962554 = V901741 - 1. assign V412192 = V888535 - 1. assign V542932 = V936780. assign V153113 = V266714 - 1. assign V923971 = V031205 + 1. assign V090384 = V773074. assign V284647 = V561207 - 1. assign V624898 = V743798 - 1. assign V515720 = V936780 - 1. assign V856434 = V932373 + 1. assign V409599 = V775525 - 1. assign V671959 = V219522. assign V794892 = V305527 - 1. assign V595618 = V936780 - 1. assign V566057 = V698965. assign V349237 = V121845 + 1. assign V132156 = V855717. assign V334328 = V506483 - 1. assign V317017 = V907539. assign V431752 = V447040. assign V035200 = V574466. assign V773074 = V936780. assign V183859 = V836393. assign V043588 = V312131. assign V520058 = V474562 - 1. assign V053528 = V175078. assign V151641 = V203795 + 1. assign V113331 = V725165 + 1. assign V895831 = V138761 - 1. assign V480496 = V550048. assign V446393 = V718150. assign V558578 = V506483 - 1. assign V680426 = V717041 + 1. assign V368627 = V675889 + 1. assign V949949 = V515720 + 1. assign V168392 = V138761 + 1. assign V302474 = V675889. assign V298280 = V949949 - 1. assign V921734 = V688275 - 1. assign V629591 = V698965 + 1. assign V659710 = V504797. assign V203795 = V680426. assign V278985 = V376110 - 1. assign V342960 = V762851 + 1. assign V027612 = V421729 - 1. assign V138761 = V606547. assign V504797 = V270765 - 1. assign V136522 = V199036 + 1. assign V302323 = V091180 + 1. assign V349295 = V507347. assign V987346 = V271254. assign V524021 = V322981. assign V887147 = V302474. assign V458871 = V629746. assign V432573 = V284647 + 1. assign V660344 = V434218 - 1. assign V029261 = V949949 + 1. assign V020114 = V624898 + 1. assign V569027 = V773074 - 1. assign V284827 = V198667. assign V035862 = V718150. assign V932373 = V606547. assign V823869 = V219522 - 1. assign V947543 = V349295 + 1. assign V717041 = V862489 - 1. assign V621931 = V000597. assign V204595 = V703797 + 1. assign V159020 = V198667 - 1. assign V394342 = V432669. assign V302210 = V991005. assign V423576 = V000597. assign V529719 = V507347 + 1. assign V521828 = V603567 + 1. assign V698965 = V291339 + 1. assign V184167 = V515720 + 1. assign V878944 = V936780 - 1. assign V190262 = V888535. assign V266714 = V291339 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV871084 = 3;\n\nFrom these direct assignment(s), we have: \nV542471 = V871084 + 1 = 3 + 1 =4;\nV574466 = V542471 + 1 = 4 + 1 =5;\nV035200 = V574466 = 5;\nNo other varaibles can be derived from V035200;\nNo other varaibles can be derived from V574466;\nV305527 = V542471 - 1 = 4 - 1 =3;\nV794892 = V305527 - 1 = 3 - 1 =2;\nNo other varaibles can be derived from V794892;\nV762851 = V305527 + 1 = 3 + 1 =4;\nV342960 = V762851 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V342960;\nNo other varaibles can be derived from V762851;\nNo other varaibles can be derived from V305527;\nV757813 = V542471 + 1 = 4 + 1 =5;\nV729028 = V757813 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V729028;\nNo other varaibles can be derived from V757813;\nNo other varaibles can be derived from V542471;\nNo other varaibles can be derived from V871084;\n\nNow we have done all the calculations. Derived variables are:\nV871084 = 3;\nV542471 = 4;\nV574466 = 5;\nV035200 = 5;\nV305527 = 3;\nV794892 = 2;\nV762851 = 4;\nV342960 = 5;\nV757813 = 5;\nV729028 = 6;\n\nNow we have finished this problem. ANSWER:\nV729028\n", "role": "assistant" } ]

[ "V166337", "V578642", "V658053", "V134653" ]

[ { "content": "<context>\nassign V918162 = V153034 + 1. assign V278216 = V650912. assign V577110 = V086569 + 1. assign V650912 = V353648 + 1. assign V640650 = V607571 - 1. assign V192734 = V924423. assign V906932 = V214707 + 1. assign V803886 = V894086 - 1. assign V898971 = V915207 - 1. assign V699798 = V959603 - 1. assign V961803 = V267581 + 1. assign V653518 = V220089 + 1. assign V863205 = V715603 + 1. assign V434953 = V333548 - 1. assign V694489 = V488823 + 1. assign V599998 = V972611 + 1. assign V602732 = V577110 - 1. assign V506499 = V117608 - 1. assign V141364 = V179272. assign V321720 = V272103 + 1. assign V480330 = V918162. assign V249633 = V569218. assign V521898 = V240890 - 1. assign V468969 = V911797. assign V579861 = V658053 - 1. assign V999059 = V865530 + 1. assign V247890 = V240890 + 1. assign V453649 = V488823 - 1. assign V180144 = V117608. assign V658053 = V166337. assign V528127 = V214707 - 1. assign V317247 = V267581. assign V933773 = V821147. assign V164403 = V493681 - 1. assign V068754 = V751515 + 1. assign V357300 = V633171. assign V789095 = V842733 - 1. assign V274203 = V009467. assign V122423 = V453649 - 1. assign V013487 = V240890 - 1. assign V623863 = V747635 + 1. assign V199235 = V830342. assign V703970 = V455769. assign V651152 = V978637 + 1. assign V193738 = V084580. assign V033151 = V357300 + 1. assign V945283 = V281546 + 1. assign V202978 = V798075 + 1. assign V477720 = V641940 + 1. assign V936410 = V242962 + 1. assign V686940 = V122814 - 1. assign V974376 = V364222. assign V972402 = V803886 + 1. assign V329962 = V117608. assign V618187 = V798075 + 1. assign V088198 = V242962. assign V364222 = V283722. assign V333548 = V455769 + 1. assign V001598 = V961461 - 1. assign V517941 = V510909 + 1. assign V731152 = V089679 + 1. assign V697411 = V488823 + 1. assign V625191 = V068754. assign V189605 = V671566. assign V666231 = V982532 - 1. assign V460547 = V155179 + 1. assign V421966 = V779715 - 1. assign V463642 = V671566 + 1. assign V848534 = V103039. assign V201036 = V283722. assign V333565 = V068754 + 1. assign V832165 = V189605 + 1. assign V588639 = V321720 + 1. assign V577738 = V240890 - 1. assign V345937 = V092155 + 1. assign V847024 = V153034. assign V416426 = V847024 + 1. assign V281546 = V268185 + 1. assign V817354 = V577110 - 1. assign V034278 = V153034 + 1. assign V471501 = V602732 - 1. assign V652408 = V166337 - 1. assign V618529 = V214385 + 1. assign V405635 = V618487. assign V022180 = V653518 + 1. assign V711464 = V779715 + 1. assign V462455 = V640650 - 1. assign V830342 = V464890. assign V978637 = V670491 - 1. assign V618487 = V625191. assign V671566 = V649648 + 1. assign V597693 = V080705 - 1. assign V220089 = V214707 + 1. assign V791907 = V625191. assign V084580 = V863558 + 1. assign V811407 = V364222. assign V145718 = V898971. assign V633171 = V153034 + 1. assign V261945 = V398047 - 1. assign V276942 = V515079. assign V149439 = V830342 + 1. assign V842847 = V534489. assign V599645 = V240890. assign V353648 = V336704 + 1. assign V683663 = V313059 - 1. assign V911797 = V515079 - 1. assign V336704 = V214707 - 1. assign V261154 = V166337 + 1. assign V384636 = V268397 - 1. assign V945309 = V724017. assign V340808 = V336519 + 1. assign V296710 = V618529 + 1. assign V769416 = V569218 + 1. assign V685558 = V885638 - 1. assign V999889 = V142727 + 1. assign V476937 = V951432. assign V166337 = 3. assign V539748 = V697411 - 1. assign V865530 = V180144. assign V578642 = V166337. assign V518380 = V145718 + 1. assign V924423 = V769416. assign V690110 = V247890. assign V445387 = V713628 + 1. assign V385980 = V041661 - 1. assign V982532 = V179272. assign V056145 = V848534 - 1. assign V095440 = V847024 - 1. assign V931469 = V314020 + 1. assign V877894 = V938606. assign V565641 = V736180 - 1. assign V928577 = V033151 - 1. assign V503387 = V751515. assign V302185 = V189605 + 1. assign V493681 = V080705 + 1. assign V683913 = V283722 - 1. assign V280781 = V751515 - 1. assign V951135 = V371809 + 1. assign V908572 = V145718 + 1. assign V534489 = V047867 - 1. assign V336519 = V671566 - 1. assign V371470 = V918162. assign V803873 = V991501 + 1. assign V002682 = V699798. assign V174019 = V381883. assign V700514 = V918835. assign V495506 = V001598 + 1. assign V214670 = V911797 + 1. assign V725826 = V155179 + 1. assign V172335 = V847024. assign V510909 = V155179 + 1. assign V670491 = V034278 - 1. assign V059336 = V666231. assign V724017 = V153034. assign V961461 = V863558 - 1. assign V041835 = V885638 - 1. assign V047867 = V360455 - 1. assign V249233 = V439859 - 1. assign V491735 = V999889 - 1. assign V716605 = V568069 + 1. assign V915207 = V153034 - 1. assign V898908 = V452823 - 1. assign V555144 = V961461 + 1. assign V089679 = V302185. assign V371809 = V872517 + 1. assign V783035 = V280781 + 1. assign V700955 = V089679. assign V103039 = V957290. assign V972611 = V285649 + 1. assign V098143 = V928577. assign V155179 = V779715 - 1. assign V619964 = V268397 + 1. assign V842733 = V289546 - 1. assign V159751 = V254228 - 1. assign V356324 = V268397 + 1. assign V569218 = V671566. assign V777728 = V139044. assign V370577 = V406747 - 1. assign V894086 = V959603 + 1. assign V906910 = V240890 - 1. assign V736180 = V715603 + 1. assign V938606 = V522034 + 1. assign V418376 = V607571. assign V662207 = V713628 - 1. assign V689473 = V240890 + 1. assign V139596 = V649648 - 1. assign V160858 = V476937 + 1. assign V724216 = V961461 + 1. assign V381883 = V314020 + 1. assign V049539 = V490445 + 1. assign V463352 = V951135 - 1. assign V523042 = V721707 + 1. assign V303237 = V396603 + 1. assign V182333 = V960777 + 1. assign V130842 = V283722 + 1. assign V732931 = V247890 - 1. assign V396603 = V353648. assign V656932 = V653518 + 1. assign V080386 = V336519 - 1. assign V268397 = V565641 - 1. assign V214385 = V633171. assign V092155 = V445387 - 1. assign V168311 = V044199 - 1. assign V827609 = V533963. assign V388921 = V872517 + 1. assign V641254 = V568069 - 1. assign V784992 = V371809 + 1. assign V532111 = V333565 + 1. assign V392784 = V005841 - 1. assign V087022 = V034278 - 1. assign V439859 = V960777. assign V299336 = V569218. assign V533963 = V482175. assign V272103 = V633171 + 1. assign V522034 = V201540 + 1. assign V357973 = V671566 - 1. assign V960777 = V847024 - 1. assign V074805 = V445387. assign V221764 = V671566 + 1. assign V541836 = V088198 + 1. assign V268185 = V087022 + 1. assign V944569 = V725826 - 1. assign V951432 = V034278 + 1. assign V455769 = V798075 + 1. assign V009467 = V285649 + 1. assign V605441 = V047867 + 1. assign V179272 = V798075 + 1. assign V563182 = V503387 - 1. assign V283722 = V671566. assign V674496 = V283722. assign V267581 = V201036 - 1. assign V663928 = V447495 - 1. assign V957290 = V153034. assign V254228 = V683913 - 1. assign V577665 = V221764 - 1. assign V447495 = V625191. assign V424389 = V653518 - 1. assign V680210 = V203211. assign V142727 = V047867 + 1. assign V877231 = V872517. assign V275103 = V865530 - 1. assign V782779 = V652408. assign V746353 = V059336 - 1. assign V208423 = V087022 + 1. assign V122814 = V928577. assign V872517 = V087022 - 1. assign V959603 = V439859 + 1. assign V398047 = V641254 - 1. assign V243953 = V951135 - 1. assign V021236 = V139596 + 1. assign V488017 = V503387. assign V885638 = V044199 + 1. assign V676685 = V847024 - 1. assign V940796 = V164403 + 1. assign V285649 = V287349. assign V863558 = V034278. assign V044199 = V463642 - 1. assign V550434 = V088198. assign V660999 = V640650. assign V171223 = V261945 - 1. assign V530506 = V443150 + 1. assign V430460 = V640650 + 1. assign V182248 = V931469. assign V314020 = V577110 + 1. assign V568069 = V034278 + 1. assign V406747 = V287349 - 1. assign V649648 = V915207 - 1. assign V733919 = V842733 - 1. assign V214707 = V153034 - 1. assign V289546 = V142727. assign V695795 = V005841 + 1. assign V452823 = V220089 + 1. assign V169543 = V455769. assign V024062 = V838132 + 1. assign V370983 = V220089. assign V967461 = V690110 + 1. assign V991501 = V445387 - 1. assign V213613 = V388921 + 1. assign V134653 = V652408 + 1. assign V176863 = V443154 + 1. assign V136466 = V184813 + 1. assign V325398 = V838132 - 1. assign V211022 = V171223. assign V464890 = V033151 - 1. assign V918835 = V798075 + 1. assign V838132 = V649648 - 1. assign V709402 = V414607 + 1. assign V891831 = V649648 + 1. assign V982924 = V405635. assign V286136 = V784992 + 1. assign V844007 = V618529. assign V201540 = V649648. assign V873892 = V957290 - 1. assign V427909 = V139596. assign V769184 = V033151 - 1. assign V638666 = V333565 + 1. assign V721707 = V542628 - 1. assign V794992 = V972611. assign V715603 = V528127 - 1. assign V287349 = V189605 + 1. assign V117608 = V689473 - 1. assign V779715 = V283722 + 1. assign V242962 = V220089 - 1. assign V798075 = V285649 - 1. assign V139044 = V503387 - 1. assign V779539 = V182248 + 1. assign V482175 = V713628 - 1. assign V474992 = V694489 - 1. assign V010527 = V503387 - 1. assign V360455 = V891831. assign V331629 = V769416 - 1. assign V240890 = V569218 - 1. assign V443154 = V360455 - 1. assign V509454 = V005841 - 1. assign V352292 = V649648. assign V468405 = V960777. assign V008772 = V462455. assign V414607 = V618187. assign V323210 = V268397. assign V490445 = V184813 - 1. assign V751515 = V041661 + 1. assign V607571 = V088198. assign V413131 = V618529. assign V821147 = V510909 + 1. assign V005841 = V299336. assign V269017 = V491735. assign V812347 = V213613 - 1. assign V542628 = V873892 - 1. assign V641940 = V891831 + 1. assign V228878 = V405635. assign V080705 = V201540 - 1. assign V655590 = V145718 + 1. assign V313059 = V578642 - 1. assign V488823 = V569218 + 1. assign V815348 = V214670 - 1. assign V515079 = V915207. assign V713628 = V463642. assign V457205 = V522034 + 1. assign V086569 = V360455 - 1. assign V722200 = V208423 - 1. assign V184813 = V414607. assign V661979 = V287349 - 1. assign V443150 = V877894 + 1. assign V203211 = V872517. assign V456488 = V960777. assign V145838 = V872517 - 1. assign V747635 = V445387 + 1. assign V874235 = V398047 + 1. assign V594196 = V122814 - 1. assign V681039 = V928577 - 1. assign V041661 = V515079 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V918162 = V153034 + 1. assign V278216 = V650912. assign V577110 = V086569 + 1. assign V650912 = V353648 + 1. assign V640650 = V607571 - 1. assign V192734 = V924423. assign V906932 = V214707 + 1. assign V803886 = V894086 - 1. assign V898971 = V915207 - 1. assign V699798 = V959603 - 1. assign V961803 = V267581 + 1. assign V653518 = V220089 + 1. assign V863205 = V715603 + 1. assign V434953 = V333548 - 1. assign V694489 = V488823 + 1. assign V599998 = V972611 + 1. assign V602732 = V577110 - 1. assign V506499 = V117608 - 1. assign V141364 = V179272. assign V321720 = V272103 + 1. assign V480330 = V918162. assign V249633 = V569218. assign V521898 = V240890 - 1. assign V468969 = V911797. assign V579861 = V658053 - 1. assign V999059 = V865530 + 1. assign V247890 = V240890 + 1. assign V453649 = V488823 - 1. assign V180144 = V117608. assign V658053 = V166337. assign V528127 = V214707 - 1. assign V317247 = V267581. assign V933773 = V821147. assign V164403 = V493681 - 1. assign V068754 = V751515 + 1. assign V357300 = V633171. assign V789095 = V842733 - 1. assign V274203 = V009467. assign V122423 = V453649 - 1. assign V013487 = V240890 - 1. assign V623863 = V747635 + 1. assign V199235 = V830342. assign V703970 = V455769. assign V651152 = V978637 + 1. assign V193738 = V084580. assign V033151 = V357300 + 1. assign V945283 = V281546 + 1. assign V202978 = V798075 + 1. assign V477720 = V641940 + 1. assign V936410 = V242962 + 1. assign V686940 = V122814 - 1. assign V974376 = V364222. assign V972402 = V803886 + 1. assign V329962 = V117608. assign V618187 = V798075 + 1. assign V088198 = V242962. assign V364222 = V283722. assign V333548 = V455769 + 1. assign V001598 = V961461 - 1. assign V517941 = V510909 + 1. assign V731152 = V089679 + 1. assign V697411 = V488823 + 1. assign V625191 = V068754. assign V189605 = V671566. assign V666231 = V982532 - 1. assign V460547 = V155179 + 1. assign V421966 = V779715 - 1. assign V463642 = V671566 + 1. assign V848534 = V103039. assign V201036 = V283722. assign V333565 = V068754 + 1. assign V832165 = V189605 + 1. assign V588639 = V321720 + 1. assign V577738 = V240890 - 1. assign V345937 = V092155 + 1. assign V847024 = V153034. assign V416426 = V847024 + 1. assign V281546 = V268185 + 1. assign V817354 = V577110 - 1. assign V034278 = V153034 + 1. assign V471501 = V602732 - 1. assign V652408 = V166337 - 1. assign V618529 = V214385 + 1. assign V405635 = V618487. assign V022180 = V653518 + 1. assign V711464 = V779715 + 1. assign V462455 = V640650 - 1. assign V830342 = V464890. assign V978637 = V670491 - 1. assign V618487 = V625191. assign V671566 = V649648 + 1. assign V597693 = V080705 - 1. assign V220089 = V214707 + 1. assign V791907 = V625191. assign V084580 = V863558 + 1. assign V811407 = V364222. assign V145718 = V898971. assign V633171 = V153034 + 1. assign V261945 = V398047 - 1. assign V276942 = V515079. assign V149439 = V830342 + 1. assign V842847 = V534489. assign V599645 = V240890. assign V353648 = V336704 + 1. assign V683663 = V313059 - 1. assign V911797 = V515079 - 1. assign V336704 = V214707 - 1. assign V261154 = V166337 + 1. assign V384636 = V268397 - 1. assign V945309 = V724017. assign V340808 = V336519 + 1. assign V296710 = V618529 + 1. assign V769416 = V569218 + 1. assign V685558 = V885638 - 1. assign V999889 = V142727 + 1. assign V476937 = V951432. assign V166337 = 3. assign V539748 = V697411 - 1. assign V865530 = V180144. assign V578642 = V166337. assign V518380 = V145718 + 1. assign V924423 = V769416. assign V690110 = V247890. assign V445387 = V713628 + 1. assign V385980 = V041661 - 1. assign V982532 = V179272. assign V056145 = V848534 - 1. assign V095440 = V847024 - 1. assign V931469 = V314020 + 1. assign V877894 = V938606. assign V565641 = V736180 - 1. assign V928577 = V033151 - 1. assign V503387 = V751515. assign V302185 = V189605 + 1. assign V493681 = V080705 + 1. assign V683913 = V283722 - 1. assign V280781 = V751515 - 1. assign V951135 = V371809 + 1. assign V908572 = V145718 + 1. assign V534489 = V047867 - 1. assign V336519 = V671566 - 1. assign V371470 = V918162. assign V803873 = V991501 + 1. assign V002682 = V699798. assign V174019 = V381883. assign V700514 = V918835. assign V495506 = V001598 + 1. assign V214670 = V911797 + 1. assign V725826 = V155179 + 1. assign V172335 = V847024. assign V510909 = V155179 + 1. assign V670491 = V034278 - 1. assign V059336 = V666231. assign V724017 = V153034. assign V961461 = V863558 - 1. assign V041835 = V885638 - 1. assign V047867 = V360455 - 1. assign V249233 = V439859 - 1. assign V491735 = V999889 - 1. assign V716605 = V568069 + 1. assign V915207 = V153034 - 1. assign V898908 = V452823 - 1. assign V555144 = V961461 + 1. assign V089679 = V302185. assign V371809 = V872517 + 1. assign V783035 = V280781 + 1. assign V700955 = V089679. assign V103039 = V957290. assign V972611 = V285649 + 1. assign V098143 = V928577. assign V155179 = V779715 - 1. assign V619964 = V268397 + 1. assign V842733 = V289546 - 1. assign V159751 = V254228 - 1. assign V356324 = V268397 + 1. assign V569218 = V671566. assign V777728 = V139044. assign V370577 = V406747 - 1. assign V894086 = V959603 + 1. assign V906910 = V240890 - 1. assign V736180 = V715603 + 1. assign V938606 = V522034 + 1. assign V418376 = V607571. assign V662207 = V713628 - 1. assign V689473 = V240890 + 1. assign V139596 = V649648 - 1. assign V160858 = V476937 + 1. assign V724216 = V961461 + 1. assign V381883 = V314020 + 1. assign V049539 = V490445 + 1. assign V463352 = V951135 - 1. assign V523042 = V721707 + 1. assign V303237 = V396603 + 1. assign V182333 = V960777 + 1. assign V130842 = V283722 + 1. assign V732931 = V247890 - 1. assign V396603 = V353648. assign V656932 = V653518 + 1. assign V080386 = V336519 - 1. assign V268397 = V565641 - 1. assign V214385 = V633171. assign V092155 = V445387 - 1. assign V168311 = V044199 - 1. assign V827609 = V533963. assign V388921 = V872517 + 1. assign V641254 = V568069 - 1. assign V784992 = V371809 + 1. assign V532111 = V333565 + 1. assign V392784 = V005841 - 1. assign V087022 = V034278 - 1. assign V439859 = V960777. assign V299336 = V569218. assign V533963 = V482175. assign V272103 = V633171 + 1. assign V522034 = V201540 + 1. assign V357973 = V671566 - 1. assign V960777 = V847024 - 1. assign V074805 = V445387. assign V221764 = V671566 + 1. assign V541836 = V088198 + 1. assign V268185 = V087022 + 1. assign V944569 = V725826 - 1. assign V951432 = V034278 + 1. assign V455769 = V798075 + 1. assign V009467 = V285649 + 1. assign V605441 = V047867 + 1. assign V179272 = V798075 + 1. assign V563182 = V503387 - 1. assign V283722 = V671566. assign V674496 = V283722. assign V267581 = V201036 - 1. assign V663928 = V447495 - 1. assign V957290 = V153034. assign V254228 = V683913 - 1. assign V577665 = V221764 - 1. assign V447495 = V625191. assign V424389 = V653518 - 1. assign V680210 = V203211. assign V142727 = V047867 + 1. assign V877231 = V872517. assign V275103 = V865530 - 1. assign V782779 = V652408. assign V746353 = V059336 - 1. assign V208423 = V087022 + 1. assign V122814 = V928577. assign V872517 = V087022 - 1. assign V959603 = V439859 + 1. assign V398047 = V641254 - 1. assign V243953 = V951135 - 1. assign V021236 = V139596 + 1. assign V488017 = V503387. assign V885638 = V044199 + 1. assign V676685 = V847024 - 1. assign V940796 = V164403 + 1. assign V285649 = V287349. assign V863558 = V034278. assign V044199 = V463642 - 1. assign V550434 = V088198. assign V660999 = V640650. assign V171223 = V261945 - 1. assign V530506 = V443150 + 1. assign V430460 = V640650 + 1. assign V182248 = V931469. assign V314020 = V577110 + 1. assign V568069 = V034278 + 1. assign V406747 = V287349 - 1. assign V649648 = V915207 - 1. assign V733919 = V842733 - 1. assign V214707 = V153034 - 1. assign V289546 = V142727. assign V695795 = V005841 + 1. assign V452823 = V220089 + 1. assign V169543 = V455769. assign V024062 = V838132 + 1. assign V370983 = V220089. assign V967461 = V690110 + 1. assign V991501 = V445387 - 1. assign V213613 = V388921 + 1. assign V134653 = V652408 + 1. assign V176863 = V443154 + 1. assign V136466 = V184813 + 1. assign V325398 = V838132 - 1. assign V211022 = V171223. assign V464890 = V033151 - 1. assign V918835 = V798075 + 1. assign V838132 = V649648 - 1. assign V709402 = V414607 + 1. assign V891831 = V649648 + 1. assign V982924 = V405635. assign V286136 = V784992 + 1. assign V844007 = V618529. assign V201540 = V649648. assign V873892 = V957290 - 1. assign V427909 = V139596. assign V769184 = V033151 - 1. assign V638666 = V333565 + 1. assign V721707 = V542628 - 1. assign V794992 = V972611. assign V715603 = V528127 - 1. assign V287349 = V189605 + 1. assign V117608 = V689473 - 1. assign V779715 = V283722 + 1. assign V242962 = V220089 - 1. assign V798075 = V285649 - 1. assign V139044 = V503387 - 1. assign V779539 = V182248 + 1. assign V482175 = V713628 - 1. assign V474992 = V694489 - 1. assign V010527 = V503387 - 1. assign V360455 = V891831. assign V331629 = V769416 - 1. assign V240890 = V569218 - 1. assign V443154 = V360455 - 1. assign V509454 = V005841 - 1. assign V352292 = V649648. assign V468405 = V960777. assign V008772 = V462455. assign V414607 = V618187. assign V323210 = V268397. assign V490445 = V184813 - 1. assign V751515 = V041661 + 1. assign V607571 = V088198. assign V413131 = V618529. assign V821147 = V510909 + 1. assign V005841 = V299336. assign V269017 = V491735. assign V812347 = V213613 - 1. assign V542628 = V873892 - 1. assign V641940 = V891831 + 1. assign V228878 = V405635. assign V080705 = V201540 - 1. assign V655590 = V145718 + 1. assign V313059 = V578642 - 1. assign V488823 = V569218 + 1. assign V815348 = V214670 - 1. assign V515079 = V915207. assign V713628 = V463642. assign V457205 = V522034 + 1. assign V086569 = V360455 - 1. assign V722200 = V208423 - 1. assign V184813 = V414607. assign V661979 = V287349 - 1. assign V443150 = V877894 + 1. assign V203211 = V872517. assign V456488 = V960777. assign V145838 = V872517 - 1. assign V747635 = V445387 + 1. assign V874235 = V398047 + 1. assign V594196 = V122814 - 1. assign V681039 = V928577 - 1. assign V041661 = V515079 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV166337 = 3;\n\nFrom these direct assignment(s), we have: \nV578642 = V166337 = 3;\nV313059 = V578642 - 1 = 3 - 1 =2;\nV683663 = V313059 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V683663;\nNo other varaibles can be derived from V313059;\nNo other varaibles can be derived from V578642;\nV261154 = V166337 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V261154;\nV652408 = V166337 - 1 = 3 - 1 =2;\nV134653 = V652408 + 1 = 2 + 1 =3;\nNo other varaibles can be derived from V134653;\nV782779 = V652408 = 2;\nNo other varaibles can be derived from V782779;\nNo other varaibles can be derived from V652408;\nV658053 = V166337 = 3;\nV579861 = V658053 - 1 = 3 - 1 =2;\nNo other varaibles can be derived from V579861;\nNo other varaibles can be derived from V658053;\nNo other varaibles can be derived from V166337;\n\nNow we have done all the calculations. Derived variables are:\nV166337 = 3;\nV578642 = 3;\nV313059 = 2;\nV683663 = 1;\nV261154 = 4;\nV652408 = 2;\nV134653 = 3;\nV782779 = 2;\nV658053 = 3;\nV579861 = 2;\n\nNow we have finished this problem. ANSWER:\nV166337, V578642, V134653, V658053\n", "role": "assistant" } ]

[ "V087046", "V842507", "V055579", "V354252", "V491170" ]

[ { "content": "<context>\nassign V959258 = V916482 - 1. assign V329658 = V881177. assign V115509 = V571673. assign V371487 = V539846 + 1. assign V693251 = V532581 + 1. assign V804997 = V531510 + 1. assign V217379 = V586667 + 1. assign V066381 = V664253. assign V521192 = V784235. assign V563019 = V556456. assign V151333 = V689054. assign V859088 = V700274. assign V094300 = V785349 - 1. assign V498334 = V949380 - 1. assign V592662 = V538281. assign V156079 = V031600 + 1. assign V969604 = V539846 - 1. assign V532519 = V483525 + 1. assign V236186 = V818272 + 1. assign V689054 = V373680 - 1. assign V650689 = V658480 - 1. assign V764434 = V342414. assign V482002 = V700440. assign V395805 = V580105 - 1. assign V760010 = V144270 + 1. assign V075567 = V658480. assign V936811 = V084520 + 1. assign V491521 = V857609. assign V823043 = V776721. assign V959208 = V984324. assign V386492 = V329658. assign V200714 = V935630 + 1. assign V955287 = V378445 - 1. assign V565176 = V596678 + 1. assign V971864 = V123752 - 1. assign V534088 = V108159 - 1. assign V700274 = V160826. assign V031600 = V074168 + 1. assign V418490 = V075567 - 1. assign V692752 = V509927 + 1. assign V563789 = V280468 + 1. assign V465603 = V469382 - 1. assign V920428 = V565107 - 1. assign V935267 = V531510 - 1. assign V952183 = V037704 - 1. assign V339345 = V532581 + 1. assign V352503 = V452243. assign V924169 = V518022 + 1. assign V418310 = V144270 - 1. assign V668119 = V550854. assign V115453 = V848671 - 1. assign V921090 = V650689 - 1. assign V047506 = V586667 - 1. assign V916482 = V528920 - 1. assign V501947 = V212346 - 1. assign V549699 = V056188 + 1. assign V483525 = V407712 + 1. assign V144270 = V423328 + 1. assign V198177 = V635371 - 1. assign V419312 = V431020. assign V935630 = V938086 - 1. assign V004445 = V413518 - 1. assign V212346 = V238430 + 1. assign V881177 = V431578 - 1. assign V325257 = V818272. assign V412064 = V652762. assign V550854 = V712605 - 1. assign V431578 = V208379 + 1. assign V401143 = V075567 + 1. assign V588686 = V700223 + 1. assign V378445 = V528920 + 1. assign V312938 = V475129. assign V431020 = V026456. assign V532581 = V563789 + 1. assign V469966 = V280468. assign V522889 = V531510. assign V608941 = V116662 - 1. assign V943822 = V151206 - 1. assign V977686 = V712605 + 1. assign V384153 = V332054. assign V234642 = V218372 + 1. assign V985724 = V534088. assign V094090 = V185810. assign V131776 = V378445 - 1. assign V084520 = V339397. assign V325116 = V528920 - 1. assign V919887 = V075567 + 1. assign V325055 = V378445 + 1. assign V139715 = V563019. assign V712605 = V539846. assign V819380 = V131776. assign V868779 = V575696. assign V120433 = V784235 - 1. assign V305227 = V297873 - 1. assign V011699 = V935267 - 1. assign V218372 = V522889. assign V297873 = V990226 - 1. assign V339841 = V341919 - 1. assign V818272 = V522889 - 1. assign V745219 = V753491 + 1. assign V322097 = V784235 - 1. assign V108159 = V075567 + 1. assign V131005 = V700440 - 1. assign V958372 = V566318 + 1. assign V025703 = V084520 - 1. assign V458764 = V144270. assign V091259 = V094220 + 1. assign V138553 = V373680 - 1. assign V423328 = V026456 - 1. assign V269430 = V619899 - 1. assign V629506 = V962639 + 1. assign V166258 = V400120. assign V228637 = V491100 - 1. assign V372641 = V371487. assign V929846 = V341919 - 1. assign V067747 = V380323. assign V862352 = V212346 + 1. assign V485926 = V139715. assign V475129 = V094220 + 1. assign V626262 = V138636 + 1. assign V753491 = V116662 - 1. assign V955633 = V940950 + 1. assign V785349 = V423328 - 1. assign V502187 = V563789. assign V755537 = V498334. assign V939657 = V935630 - 1. assign V171808 = V475807 + 1. assign V100190 = V465603 + 1. assign V922516 = V825085 + 1. assign V444000 = V700274. assign V122252 = V857609 - 1. assign V911749 = V154218 - 1. assign V154218 = V916482 + 1. assign V848671 = V116662 + 1. assign V808953 = V521192 - 1. assign V785127 = V325055 + 1. assign V116662 = V431529. assign V024823 = V848671. assign V539071 = V579581 + 1. assign V519282 = V329658 + 1. assign V842507 = V997566 - 1. assign V131056 = V700223 + 1. assign V759862 = V369285 - 1. assign V369332 = V882218 - 1. assign V138636 = V984324 - 1. assign V940950 = V026456 - 1. assign V110615 = V785809 - 1. assign V997809 = V895622. assign V545196 = V502187. assign V681854 = V531510 + 1. assign V081997 = V825085 + 1. assign V015380 = V556456. assign V423735 = V372641 - 1. assign V407712 = V378445. assign V579581 = V325055. assign V529387 = V785809 - 1. assign V213151 = V378445. assign V208379 = V967741 - 1. assign V592080 = V823043 - 1. assign V678616 = V977131 - 1. assign V003163 = V200714 + 1. assign V238430 = V120433. assign V134190 = V862352 + 1. assign V556456 = V151206. assign V698607 = V392305 + 1. assign V857609 = V373680 + 1. assign V400120 = V606526. assign V491170 = V997566 - 1. assign V238354 = V539846. assign V509149 = V825085. assign V619899 = V120433 - 1. assign V211538 = V745219 + 1. assign V339397 = V026456 + 1. assign V178819 = V563019 + 1. assign V185810 = V509927 + 1. assign V946297 = V400120 + 1. assign V214034 = V395805. assign V762872 = V539846 - 1. assign V982093 = V882218 - 1. assign V500638 = V469382. assign V074168 = V784235. assign V369285 = V074168 - 1. assign V897094 = V502187. assign V606526 = V825085 + 1. assign V455924 = V615091. assign V778801 = V882218 + 1. assign V280468 = V668119. assign V290924 = V592080 + 1. assign V216818 = V940950 - 1. assign V718032 = V401143 + 1. assign V359084 = V325055. assign V160908 = V491521. assign V407048 = V369414 + 1. assign V916058 = V712605. assign V656999 = V318354 + 1. assign V087046 = 6. assign V538281 = V270553 - 1. assign V938086 = V423328. assign V586667 = V491100 + 1. assign V413518 = V522889 - 1. assign V917498 = V565107 + 1. assign V997566 = V087046 + 1. assign V481690 = V212346. assign V916685 = V538281. assign V341919 = V784235 - 1. assign V984324 = V521192 - 1. assign V752745 = V527163 + 1. assign V962639 = V131776. assign V565107 = V120433 - 1. assign V924790 = V977131. assign V105643 = V825085 - 1. assign V151206 = V116662. assign V246191 = V579581 - 1. assign V270553 = V825085 + 1. assign V531510 = V658480 - 1. assign V121037 = V921090 - 1. assign V203457 = V985724 + 1. assign V848164 = V211538 - 1. assign V202198 = V056188 + 1. assign V633500 = V804997 - 1. assign V641396 = V479352 - 1. assign V977932 = V519282 + 1. assign V304196 = V238430. assign V562286 = V418490 + 1. assign V923955 = V270553 - 1. assign V915289 = V270553 + 1. assign V396362 = V004445 - 1. assign V031446 = V491521. assign V771911 = V259419 + 1. assign V741089 = V967741 - 1. assign V344445 = V238430 + 1. assign V786243 = V116662 + 1. assign V658388 = V094220 + 1. assign V575696 = V081997 - 1. assign V995623 = V339345. assign V218986 = V528920 + 1. assign V528920 = V990226. assign V949380 = V656999. assign V273404 = V352503 - 1. assign V373198 = V539071. assign V971255 = V882218. assign V159172 = V718032. assign V900643 = V202198 - 1. assign V658480 = V026456 + 1. assign V009216 = V668119 - 1. assign V641833 = V619899 - 1. assign V491974 = V122252. assign V596678 = V901428 + 1. assign V037704 = V563789 - 1. assign V045694 = V056188. assign V759514 = V509149 + 1. assign V967741 = V977131 + 1. assign V422431 = V122252 - 1. assign V094220 = V848671. assign V797522 = V431020 + 1. assign V837602 = V234642. assign V179224 = V848671. assign V785809 = V212346 + 1. assign V392305 = V534088. assign V815237 = V211538 - 1. assign V847976 = V745219. assign V832114 = V571673. assign V214191 = V116662 - 1. assign V895622 = V238430 - 1. assign V539846 = V919887. assign V707786 = V939657 - 1. assign V518022 = V664253. assign V170666 = V990226 + 1. assign V452243 = V921090. assign V932569 = V344445. assign V566318 = V712605 + 1. assign V583606 = V026456 + 1. assign V861129 = V120433 + 1. assign V431529 = V365532. assign V056188 = V921090 - 1. assign V491100 = V984324 + 1. assign V993662 = V120433. assign V318354 = V936811. assign V475807 = V116662. assign V599259 = V566318 - 1. assign V374865 = V218986. assign V652762 = V919887. assign V659025 = V305227. assign V479352 = V528920 + 1. assign V403698 = V055579 + 1. assign V700440 = V919887 - 1. assign V567685 = V423328 - 1. assign V710207 = V202198 - 1. assign V304066 = V958224 - 1. assign V365532 = V075567. assign V639661 = V159172 + 1. assign V635371 = V208379. assign V509927 = V539846 - 1. assign V975006 = V741089 - 1. assign V123752 = V208379 - 1. assign V876309 = V491100 + 1. assign V825085 = V431020 - 1. assign V706205 = V369285 - 1. assign V102684 = V741089 + 1. assign V778247 = V344445. assign V616244 = V895622 - 1. assign V787766 = V212346 - 1. assign V776721 = V344445 + 1. assign V113811 = V214034 + 1. assign V815607 = V580105 + 1. assign V664253 = V916482. assign V205097 = V967741 - 1. assign V580105 = V656999 - 1. assign V372103 = V664253 - 1. assign V464362 = V550854. assign V160826 = V784235 - 1. assign V332054 = V862352 - 1. assign V648278 = V563789. assign V571673 = V857609. assign V527163 = V341919 - 1. assign V901428 = V024823. assign V611055 = V861129 - 1. assign V183518 = V055579 + 1. assign V342414 = V997566. assign V615091 = V020208. assign V469382 = V218372 - 1. assign V055579 = V842507. assign V958224 = V917498 - 1. assign V467474 = V936811 - 1. assign V784235 = V658480. assign V930385 = V341919 - 1. assign V893342 = V144270. assign V882218 = V608941. assign V259419 = V619899 - 1. assign V560831 = V412064 - 1. assign V020208 = V969604 - 1. assign V054991 = V778058 - 1. assign V990226 = V075567. assign V676364 = V004445 + 1. assign V198705 = V045694 + 1. assign V923128 = V837602. assign V443364 = V862352 - 1. assign V770528 = V556456 + 1. assign V778058 = V074168 - 1. assign V373680 = V521192 + 1. assign V646292 = V848671 + 1. assign V388004 = V475807. assign V051525 = V412064 + 1. assign V700223 = V491100. assign V891286 = V567685 - 1. assign V380323 = V664253 + 1. assign V369414 = V218372 - 1. assign V354252 = V997566 - 1. assign V977131 = V784235 + 1. assign V801243 = V619899 - 1. assign V262340 = V102684 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V959258 = V916482 - 1. assign V329658 = V881177. assign V115509 = V571673. assign V371487 = V539846 + 1. assign V693251 = V532581 + 1. assign V804997 = V531510 + 1. assign V217379 = V586667 + 1. assign V066381 = V664253. assign V521192 = V784235. assign V563019 = V556456. assign V151333 = V689054. assign V859088 = V700274. assign V094300 = V785349 - 1. assign V498334 = V949380 - 1. assign V592662 = V538281. assign V156079 = V031600 + 1. assign V969604 = V539846 - 1. assign V532519 = V483525 + 1. assign V236186 = V818272 + 1. assign V689054 = V373680 - 1. assign V650689 = V658480 - 1. assign V764434 = V342414. assign V482002 = V700440. assign V395805 = V580105 - 1. assign V760010 = V144270 + 1. assign V075567 = V658480. assign V936811 = V084520 + 1. assign V491521 = V857609. assign V823043 = V776721. assign V959208 = V984324. assign V386492 = V329658. assign V200714 = V935630 + 1. assign V955287 = V378445 - 1. assign V565176 = V596678 + 1. assign V971864 = V123752 - 1. assign V534088 = V108159 - 1. assign V700274 = V160826. assign V031600 = V074168 + 1. assign V418490 = V075567 - 1. assign V692752 = V509927 + 1. assign V563789 = V280468 + 1. assign V465603 = V469382 - 1. assign V920428 = V565107 - 1. assign V935267 = V531510 - 1. assign V952183 = V037704 - 1. assign V339345 = V532581 + 1. assign V352503 = V452243. assign V924169 = V518022 + 1. assign V418310 = V144270 - 1. assign V668119 = V550854. assign V115453 = V848671 - 1. assign V921090 = V650689 - 1. assign V047506 = V586667 - 1. assign V916482 = V528920 - 1. assign V501947 = V212346 - 1. assign V549699 = V056188 + 1. assign V483525 = V407712 + 1. assign V144270 = V423328 + 1. assign V198177 = V635371 - 1. assign V419312 = V431020. assign V935630 = V938086 - 1. assign V004445 = V413518 - 1. assign V212346 = V238430 + 1. assign V881177 = V431578 - 1. assign V325257 = V818272. assign V412064 = V652762. assign V550854 = V712605 - 1. assign V431578 = V208379 + 1. assign V401143 = V075567 + 1. assign V588686 = V700223 + 1. assign V378445 = V528920 + 1. assign V312938 = V475129. assign V431020 = V026456. assign V532581 = V563789 + 1. assign V469966 = V280468. assign V522889 = V531510. assign V608941 = V116662 - 1. assign V943822 = V151206 - 1. assign V977686 = V712605 + 1. assign V384153 = V332054. assign V234642 = V218372 + 1. assign V985724 = V534088. assign V094090 = V185810. assign V131776 = V378445 - 1. assign V084520 = V339397. assign V325116 = V528920 - 1. assign V919887 = V075567 + 1. assign V325055 = V378445 + 1. assign V139715 = V563019. assign V712605 = V539846. assign V819380 = V131776. assign V868779 = V575696. assign V120433 = V784235 - 1. assign V305227 = V297873 - 1. assign V011699 = V935267 - 1. assign V218372 = V522889. assign V297873 = V990226 - 1. assign V339841 = V341919 - 1. assign V818272 = V522889 - 1. assign V745219 = V753491 + 1. assign V322097 = V784235 - 1. assign V108159 = V075567 + 1. assign V131005 = V700440 - 1. assign V958372 = V566318 + 1. assign V025703 = V084520 - 1. assign V458764 = V144270. assign V091259 = V094220 + 1. assign V138553 = V373680 - 1. assign V423328 = V026456 - 1. assign V269430 = V619899 - 1. assign V629506 = V962639 + 1. assign V166258 = V400120. assign V228637 = V491100 - 1. assign V372641 = V371487. assign V929846 = V341919 - 1. assign V067747 = V380323. assign V862352 = V212346 + 1. assign V485926 = V139715. assign V475129 = V094220 + 1. assign V626262 = V138636 + 1. assign V753491 = V116662 - 1. assign V955633 = V940950 + 1. assign V785349 = V423328 - 1. assign V502187 = V563789. assign V755537 = V498334. assign V939657 = V935630 - 1. assign V171808 = V475807 + 1. assign V100190 = V465603 + 1. assign V922516 = V825085 + 1. assign V444000 = V700274. assign V122252 = V857609 - 1. assign V911749 = V154218 - 1. assign V154218 = V916482 + 1. assign V848671 = V116662 + 1. assign V808953 = V521192 - 1. assign V785127 = V325055 + 1. assign V116662 = V431529. assign V024823 = V848671. assign V539071 = V579581 + 1. assign V519282 = V329658 + 1. assign V842507 = V997566 - 1. assign V131056 = V700223 + 1. assign V759862 = V369285 - 1. assign V369332 = V882218 - 1. assign V138636 = V984324 - 1. assign V940950 = V026456 - 1. assign V110615 = V785809 - 1. assign V997809 = V895622. assign V545196 = V502187. assign V681854 = V531510 + 1. assign V081997 = V825085 + 1. assign V015380 = V556456. assign V423735 = V372641 - 1. assign V407712 = V378445. assign V579581 = V325055. assign V529387 = V785809 - 1. assign V213151 = V378445. assign V208379 = V967741 - 1. assign V592080 = V823043 - 1. assign V678616 = V977131 - 1. assign V003163 = V200714 + 1. assign V238430 = V120433. assign V134190 = V862352 + 1. assign V556456 = V151206. assign V698607 = V392305 + 1. assign V857609 = V373680 + 1. assign V400120 = V606526. assign V491170 = V997566 - 1. assign V238354 = V539846. assign V509149 = V825085. assign V619899 = V120433 - 1. assign V211538 = V745219 + 1. assign V339397 = V026456 + 1. assign V178819 = V563019 + 1. assign V185810 = V509927 + 1. assign V946297 = V400120 + 1. assign V214034 = V395805. assign V762872 = V539846 - 1. assign V982093 = V882218 - 1. assign V500638 = V469382. assign V074168 = V784235. assign V369285 = V074168 - 1. assign V897094 = V502187. assign V606526 = V825085 + 1. assign V455924 = V615091. assign V778801 = V882218 + 1. assign V280468 = V668119. assign V290924 = V592080 + 1. assign V216818 = V940950 - 1. assign V718032 = V401143 + 1. assign V359084 = V325055. assign V160908 = V491521. assign V407048 = V369414 + 1. assign V916058 = V712605. assign V656999 = V318354 + 1. assign V087046 = 6. assign V538281 = V270553 - 1. assign V938086 = V423328. assign V586667 = V491100 + 1. assign V413518 = V522889 - 1. assign V917498 = V565107 + 1. assign V997566 = V087046 + 1. assign V481690 = V212346. assign V916685 = V538281. assign V341919 = V784235 - 1. assign V984324 = V521192 - 1. assign V752745 = V527163 + 1. assign V962639 = V131776. assign V565107 = V120433 - 1. assign V924790 = V977131. assign V105643 = V825085 - 1. assign V151206 = V116662. assign V246191 = V579581 - 1. assign V270553 = V825085 + 1. assign V531510 = V658480 - 1. assign V121037 = V921090 - 1. assign V203457 = V985724 + 1. assign V848164 = V211538 - 1. assign V202198 = V056188 + 1. assign V633500 = V804997 - 1. assign V641396 = V479352 - 1. assign V977932 = V519282 + 1. assign V304196 = V238430. assign V562286 = V418490 + 1. assign V923955 = V270553 - 1. assign V915289 = V270553 + 1. assign V396362 = V004445 - 1. assign V031446 = V491521. assign V771911 = V259419 + 1. assign V741089 = V967741 - 1. assign V344445 = V238430 + 1. assign V786243 = V116662 + 1. assign V658388 = V094220 + 1. assign V575696 = V081997 - 1. assign V995623 = V339345. assign V218986 = V528920 + 1. assign V528920 = V990226. assign V949380 = V656999. assign V273404 = V352503 - 1. assign V373198 = V539071. assign V971255 = V882218. assign V159172 = V718032. assign V900643 = V202198 - 1. assign V658480 = V026456 + 1. assign V009216 = V668119 - 1. assign V641833 = V619899 - 1. assign V491974 = V122252. assign V596678 = V901428 + 1. assign V037704 = V563789 - 1. assign V045694 = V056188. assign V759514 = V509149 + 1. assign V967741 = V977131 + 1. assign V422431 = V122252 - 1. assign V094220 = V848671. assign V797522 = V431020 + 1. assign V837602 = V234642. assign V179224 = V848671. assign V785809 = V212346 + 1. assign V392305 = V534088. assign V815237 = V211538 - 1. assign V847976 = V745219. assign V832114 = V571673. assign V214191 = V116662 - 1. assign V895622 = V238430 - 1. assign V539846 = V919887. assign V707786 = V939657 - 1. assign V518022 = V664253. assign V170666 = V990226 + 1. assign V452243 = V921090. assign V932569 = V344445. assign V566318 = V712605 + 1. assign V583606 = V026456 + 1. assign V861129 = V120433 + 1. assign V431529 = V365532. assign V056188 = V921090 - 1. assign V491100 = V984324 + 1. assign V993662 = V120433. assign V318354 = V936811. assign V475807 = V116662. assign V599259 = V566318 - 1. assign V374865 = V218986. assign V652762 = V919887. assign V659025 = V305227. assign V479352 = V528920 + 1. assign V403698 = V055579 + 1. assign V700440 = V919887 - 1. assign V567685 = V423328 - 1. assign V710207 = V202198 - 1. assign V304066 = V958224 - 1. assign V365532 = V075567. assign V639661 = V159172 + 1. assign V635371 = V208379. assign V509927 = V539846 - 1. assign V975006 = V741089 - 1. assign V123752 = V208379 - 1. assign V876309 = V491100 + 1. assign V825085 = V431020 - 1. assign V706205 = V369285 - 1. assign V102684 = V741089 + 1. assign V778247 = V344445. assign V616244 = V895622 - 1. assign V787766 = V212346 - 1. assign V776721 = V344445 + 1. assign V113811 = V214034 + 1. assign V815607 = V580105 + 1. assign V664253 = V916482. assign V205097 = V967741 - 1. assign V580105 = V656999 - 1. assign V372103 = V664253 - 1. assign V464362 = V550854. assign V160826 = V784235 - 1. assign V332054 = V862352 - 1. assign V648278 = V563789. assign V571673 = V857609. assign V527163 = V341919 - 1. assign V901428 = V024823. assign V611055 = V861129 - 1. assign V183518 = V055579 + 1. assign V342414 = V997566. assign V615091 = V020208. assign V469382 = V218372 - 1. assign V055579 = V842507. assign V958224 = V917498 - 1. assign V467474 = V936811 - 1. assign V784235 = V658480. assign V930385 = V341919 - 1. assign V893342 = V144270. assign V882218 = V608941. assign V259419 = V619899 - 1. assign V560831 = V412064 - 1. assign V020208 = V969604 - 1. assign V054991 = V778058 - 1. assign V990226 = V075567. assign V676364 = V004445 + 1. assign V198705 = V045694 + 1. assign V923128 = V837602. assign V443364 = V862352 - 1. assign V770528 = V556456 + 1. assign V778058 = V074168 - 1. assign V373680 = V521192 + 1. assign V646292 = V848671 + 1. assign V388004 = V475807. assign V051525 = V412064 + 1. assign V700223 = V491100. assign V891286 = V567685 - 1. assign V380323 = V664253 + 1. assign V369414 = V218372 - 1. assign V354252 = V997566 - 1. assign V977131 = V784235 + 1. assign V801243 = V619899 - 1. assign V262340 = V102684 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV087046 = 6;\n\nFrom these direct assignment(s), we have: \nV997566 = V087046 + 1 = 6 + 1 =7;\nV354252 = V997566 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V354252;\nV342414 = V997566 = 7;\nV764434 = V342414 = 7;\nNo other varaibles can be derived from V764434;\nNo other varaibles can be derived from V342414;\nV491170 = V997566 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V491170;\nV842507 = V997566 - 1 = 7 - 1 =6;\nV055579 = V842507 = 6;\nV183518 = V055579 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V183518;\nV403698 = V055579 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V403698;\nNo other varaibles can be derived from V055579;\nNo other varaibles can be derived from V842507;\nNo other varaibles can be derived from V997566;\nNo other varaibles can be derived from V087046;\n\nNow we have done all the calculations. Derived variables are:\nV087046 = 6;\nV997566 = 7;\nV354252 = 6;\nV342414 = 7;\nV764434 = 7;\nV491170 = 6;\nV842507 = 6;\nV055579 = 6;\nV183518 = 7;\nV403698 = 7;\n\nNow we have finished this problem. ANSWER:\nV087046, V354252, V491170, V842507, V055579\n", "role": "assistant" } ]

[ "V300943", "V138233" ]

[ { "content": "<context>\nassign V718487 = V599190 - 1. assign V346111 = V729276 - 1. assign V706459 = V522183 + 1. assign V251899 = V554598 - 1. assign V080004 = V461951 - 1. assign V660671 = V599285 - 1. assign V046438 = V295901 - 1. assign V823572 = V689765. assign V439317 = V282824 + 1. assign V599285 = V302847 - 1. assign V161789 = V538881 - 1. assign V943827 = V861208. assign V786010 = V123966. assign V310601 = V475646 - 1. assign V381002 = V718849 - 1. assign V454426 = V710948 - 1. assign V448502 = V571186. assign V268613 = V803589. assign V090344 = V378602 - 1. assign V681751 = V254659. assign V797169 = V834639. assign V118814 = V227515 + 1. assign V037825 = V443375 + 1. assign V357890 = V552292. assign V366563 = V378112 + 1. assign V673666 = V078958. assign V328691 = V817182. assign V752142 = V939846 - 1. assign V349770 = V461951. assign V925096 = V234872 - 1. assign V065286 = V289174. assign V099554 = V147050. assign V159966 = V335268 - 1. assign V134027 = V779945 + 1. assign V669700 = V581717 - 1. assign V211455 = V396447 + 1. assign V678582 = V496810. assign V442420 = V480775 + 1. assign V997123 = V118451 - 1. assign V282824 = V538986. assign V427697 = V099554 - 1. assign V118451 = V045541. assign V701414 = V200982. assign V528748 = V157075. assign V759778 = V118451. assign V040230 = V102882 - 1. assign V811489 = V538986. assign V378602 = V134027 - 1. assign V295807 = V254935 - 1. assign V702999 = V715054 + 1. assign V954857 = V534408 - 1. assign V004662 = V278003 + 1. assign V522183 = V120600 + 1. assign V443375 = V861676. assign V007216 = V295807 - 1. assign V552292 = V944088 + 1. assign V933592 = V861208 - 1. assign V378112 = V752370 + 1. assign V715054 = V346111 - 1. assign V221029 = V854251 + 1. assign V066362 = V538217 + 1. assign V577810 = V615627 - 1. assign V387599 = V309565 - 1. assign V929328 = V538881. assign V078958 = V045541 + 1. assign V301334 = V118451. assign V613352 = V396447 - 1. assign V538881 = V538217 - 1. assign V300943 = V021918 + 1. assign V718873 = V504810 + 1. assign V867719 = V501593 + 1. assign V105389 = V510877 + 1. assign V666081 = V331212 - 1. assign V223785 = V963709. assign V817182 = V300943 + 1. assign V123203 = V050821 + 1. assign V892980 = V716456. assign V854251 = V538217 + 1. assign V435297 = V861208. assign V257143 = V087371. assign V470623 = V616689 - 1. assign V309565 = V302847 + 1. assign V858200 = V933592. assign V985456 = V665110 - 1. assign V496810 = V176966. assign V278003 = V752484 - 1. assign V070249 = V147050 + 1. assign V198442 = V538881 - 1. assign V668893 = V023882. assign V138233 = V021918 + 1. assign V091630 = V779945 - 1. assign V090950 = V937991 + 1. assign V477271 = V666081 + 1. assign V224041 = V056637 - 1. assign V571186 = V040230 + 1. assign V737813 = V183970. assign V538986 = V616689. assign V712539 = V021918. assign V175617 = V236180 - 1. assign V210601 = V314233. assign V331610 = V752420 - 1. assign V547231 = V234872. assign V761992 = V434285 - 1. assign V087371 = V092485. assign V083510 = V393770. assign V761499 = V576626 - 1. assign V075671 = V088997 - 1. assign V852053 = V823074 + 1. assign V229192 = V254935. assign V559012 = V823074 - 1. assign V906378 = V864963 + 1. assign V740907 = V331212 + 1. assign V036310 = V165395. assign V539989 = V603592 - 1. assign V504616 = V302184 - 1. assign V665110 = V064900 + 1. assign V370145 = V268613. assign V365086 = V786789. assign V955855 = V718487 + 1. assign V407519 = V616689 - 1. assign V891272 = V217756 - 1. assign V080838 = V622466 - 1. assign V289174 = V393770 - 1. assign V409254 = V955855 - 1. assign V623705 = V082080. assign V666775 = V105389 - 1. assign V752420 = V552292. assign V984023 = V151191 - 1. assign V530178 = V689942 - 1. assign V526195 = V673002. assign V257221 = V817389. assign V348918 = V183970 - 1. assign V538217 = V576626 + 1. assign V918624 = V025194. assign V871202 = V718849 + 1. assign V123966 = V538881. assign V254935 = V576626. assign V615627 = V332794. assign V420911 = V861208. assign V163131 = V314233 - 1. assign V533661 = V183970. assign V177031 = V891272. assign V557263 = V891272. assign V254659 = V427717. assign V716456 = V331212 + 1. assign V314233 = V761499. assign V649927 = V217756. assign V295901 = V718849 - 1. assign V648297 = V861676. assign V003055 = V530178 - 1. assign V915327 = V599285 - 1. assign V192272 = V737813 + 1. assign V637251 = V689942 - 1. assign V234872 = V040230. assign V722220 = V420911 - 1. assign V320022 = V217756 - 1. assign V082080 = V649588 + 1. assign V848351 = V367614 - 1. assign V306634 = V301334. assign V045541 = V779945. assign V352173 = V420911 + 1. assign V298172 = V823572 + 1. assign V103413 = V706459 - 1. assign V157075 = V409254 - 1. assign V023882 = V393770 - 1. assign V983504 = V538881 + 1. assign V895975 = V221029 + 1. assign V456710 = V743279 - 1. assign V056637 = V222911. assign V599190 = V944088 + 1. assign V345836 = V718849 + 1. assign V698855 = V933592 + 1. assign V452473 = V295807. assign V752484 = V163131. assign V622466 = V314233 - 1. assign V603592 = V157617. assign V367351 = V119371 + 1. assign V946973 = V832444. assign V937991 = V718849. assign V861676 = V722220 + 1. assign V711316 = V254935 - 1. assign V217756 = V420911. assign V193602 = V563090 - 1. assign V393770 = V861208. assign V630436 = V948369. assign V743279 = V407519 - 1. assign V093450 = V025194. assign V797315 = V637251 + 1. assign V236180 = V689942 + 1. assign V779945 = V538217. assign V944088 = V854251. assign V752370 = V234872. assign V115489 = V037825. assign V181369 = V301334. assign V190251 = V121102 - 1. assign V010398 = V522183 - 1. assign V870907 = V832444 - 1. assign V649588 = V183970. assign V227515 = V669700. assign V803589 = V066362 - 1. assign V302184 = V729276 + 1. assign V427597 = V381002. assign V566973 = V123966 + 1. assign V405015 = V367059. assign V335268 = V538217 + 1. assign V151191 = V599285 + 1. assign V731516 = V215712. assign V218949 = V217756. assign V969080 = V165395. assign V341754 = V715054. assign V544768 = V222911 - 1. assign V157617 = V331212. assign V817389 = V024008 + 1. assign V025194 = V120600 + 1. assign V183970 = V689765. assign V940689 = V083510 - 1. assign V367614 = V309565. assign V560237 = V929328 + 1. assign V519842 = V254935 + 1. assign V475646 = V335268 - 1. assign V827389 = V817182 + 1. assign V120600 = V581717. assign V215712 = V161789 + 1. assign V296095 = V803589 + 1. assign V632398 = V616689 + 1. assign V226791 = V997123 + 1. assign V673002 = V554598. assign V501472 = V662552 - 1. assign V753587 = V759778 + 1. assign V367059 = V090344 - 1. assign V689942 = V616689 - 1. assign V210277 = V722220 + 1. assign V710948 = V692649 + 1. assign V593706 = V025194 + 1. assign V174306 = V740907 + 1. assign V718849 = V983504 + 1. assign V611123 = V946973 + 1. assign V992854 = V147050. assign V689765 = V435297 - 1. assign V427717 = V946973 - 1. assign V372439 = V522183 - 1. assign V176966 = V576626 + 1. assign V483894 = V622466 + 1. assign V906751 = V712539. assign V492565 = V674668. assign V068333 = V518851 - 1. assign V553845 = V367059. assign V581717 = V854251 + 1. assign V473018 = V666775 - 1. assign V524468 = V105337 + 1. assign V690569 = V632398. assign V400033 = V198442 - 1. assign V786789 = V295901 + 1. assign V554598 = V091630. assign V692649 = V234872. assign V396447 = V576626. assign V501593 = V302184 - 1. assign V050821 = V538986 + 1. assign V721848 = V348918 - 1. assign V206993 = V858200 + 1. assign V974189 = V396447 + 1. assign V718775 = V342627 - 1. assign V183884 = V083510 - 1. assign V187213 = V660671 + 1. assign V422757 = V183970 - 1. assign V832444 = V151191 + 1. assign V121102 = V673002. assign V331212 = V217756 + 1. assign V987921 = V622466 - 1. assign V504810 = V761499 - 1. assign V729276 = V599285 + 1. assign V649073 = V538881 - 1. assign V343747 = V381002 - 1. assign V445592 = V538881 - 1. assign V434285 = V666081. assign V165395 = V099554. assign V318581 = V939846. assign V963709 = V632398 + 1. assign V997566 = V458510 + 1. assign V480775 = V944088 + 1. assign V064900 = V302184 - 1. assign V500867 = V221029 - 1. assign V200909 = V983504 + 1. assign V458510 = V616689 + 1. assign V455091 = V848351. assign V129565 = V115489 + 1. assign V792467 = V303963. assign V147050 = V302847 - 1. assign V867817 = V314233. assign V960871 = V861676. assign V105337 = V538986 - 1. assign V088997 = V193602 + 1. assign V118078 = V729276. assign V777697 = V821788 - 1. assign V119371 = V662552 + 1. assign V510877 = V435297. assign V550525 = V937991 + 1. assign V222911 = V331212 - 1. assign V534408 = V871202 + 1. assign V563090 = V944088 - 1. assign V400790 = V129565 + 1. assign V024008 = V554598 - 1. assign V398612 = V649073 - 1. assign V674668 = V737813 - 1. assign V102882 = V761499. assign V591703 = V254935. assign V864963 = V779945 + 1. assign V948369 = V615627. assign V303963 = V422757 - 1. assign V821788 = V193602 - 1. assign V829040 = V944088 + 1. assign V021918 = 1. assign V823074 = V689765. assign V345084 = V183970. assign V518851 = V083510. assign V332794 = V345836 + 1. assign V861208 = V576626. assign V616689 = V435297 + 1. assign V326118 = V894846 + 1. assign V092485 = V906378. assign V437565 = V082446 + 1. assign V671674 = V616689. assign V894846 = V963709. assign V425259 = V198442 + 1. assign V834639 = V378112 + 1. assign V732060 = V422757 + 1. assign V302847 = V435297 - 1. assign V200982 = V331212 + 1. assign V662552 = V102882. assign V453849 = V302847 - 1. assign V121247 = V427697 - 1. assign V194718 = V599285. assign V107865 = V648297 - 1. assign V939846 = V829040 - 1. assign V484952 = V722220 - 1. assign V274651 = V309565. assign V263896 = V278003 - 1. assign V229879 = V439317. assign V342627 = V616689. assign V161337 = V302184 + 1. assign V367866 = V448502 - 1. assign V866588 = V318581. assign V325313 = V300943 + 1. assign V082446 = V439317 - 1. assign V297712 = V345084. assign V686292 = V761499 + 1. assign V461951 = V129565. assign V974718 = V175617 - 1. assign V399082 = V021918 - 1. assign V789450 = V711316. assign V710041 = V461951 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V718487 = V599190 - 1. assign V346111 = V729276 - 1. assign V706459 = V522183 + 1. assign V251899 = V554598 - 1. assign V080004 = V461951 - 1. assign V660671 = V599285 - 1. assign V046438 = V295901 - 1. assign V823572 = V689765. assign V439317 = V282824 + 1. assign V599285 = V302847 - 1. assign V161789 = V538881 - 1. assign V943827 = V861208. assign V786010 = V123966. assign V310601 = V475646 - 1. assign V381002 = V718849 - 1. assign V454426 = V710948 - 1. assign V448502 = V571186. assign V268613 = V803589. assign V090344 = V378602 - 1. assign V681751 = V254659. assign V797169 = V834639. assign V118814 = V227515 + 1. assign V037825 = V443375 + 1. assign V357890 = V552292. assign V366563 = V378112 + 1. assign V673666 = V078958. assign V328691 = V817182. assign V752142 = V939846 - 1. assign V349770 = V461951. assign V925096 = V234872 - 1. assign V065286 = V289174. assign V099554 = V147050. assign V159966 = V335268 - 1. assign V134027 = V779945 + 1. assign V669700 = V581717 - 1. assign V211455 = V396447 + 1. assign V678582 = V496810. assign V442420 = V480775 + 1. assign V997123 = V118451 - 1. assign V282824 = V538986. assign V427697 = V099554 - 1. assign V118451 = V045541. assign V701414 = V200982. assign V528748 = V157075. assign V759778 = V118451. assign V040230 = V102882 - 1. assign V811489 = V538986. assign V378602 = V134027 - 1. assign V295807 = V254935 - 1. assign V702999 = V715054 + 1. assign V954857 = V534408 - 1. assign V004662 = V278003 + 1. assign V522183 = V120600 + 1. assign V443375 = V861676. assign V007216 = V295807 - 1. assign V552292 = V944088 + 1. assign V933592 = V861208 - 1. assign V378112 = V752370 + 1. assign V715054 = V346111 - 1. assign V221029 = V854251 + 1. assign V066362 = V538217 + 1. assign V577810 = V615627 - 1. assign V387599 = V309565 - 1. assign V929328 = V538881. assign V078958 = V045541 + 1. assign V301334 = V118451. assign V613352 = V396447 - 1. assign V538881 = V538217 - 1. assign V300943 = V021918 + 1. assign V718873 = V504810 + 1. assign V867719 = V501593 + 1. assign V105389 = V510877 + 1. assign V666081 = V331212 - 1. assign V223785 = V963709. assign V817182 = V300943 + 1. assign V123203 = V050821 + 1. assign V892980 = V716456. assign V854251 = V538217 + 1. assign V435297 = V861208. assign V257143 = V087371. assign V470623 = V616689 - 1. assign V309565 = V302847 + 1. assign V858200 = V933592. assign V985456 = V665110 - 1. assign V496810 = V176966. assign V278003 = V752484 - 1. assign V070249 = V147050 + 1. assign V198442 = V538881 - 1. assign V668893 = V023882. assign V138233 = V021918 + 1. assign V091630 = V779945 - 1. assign V090950 = V937991 + 1. assign V477271 = V666081 + 1. assign V224041 = V056637 - 1. assign V571186 = V040230 + 1. assign V737813 = V183970. assign V538986 = V616689. assign V712539 = V021918. assign V175617 = V236180 - 1. assign V210601 = V314233. assign V331610 = V752420 - 1. assign V547231 = V234872. assign V761992 = V434285 - 1. assign V087371 = V092485. assign V083510 = V393770. assign V761499 = V576626 - 1. assign V075671 = V088997 - 1. assign V852053 = V823074 + 1. assign V229192 = V254935. assign V559012 = V823074 - 1. assign V906378 = V864963 + 1. assign V740907 = V331212 + 1. assign V036310 = V165395. assign V539989 = V603592 - 1. assign V504616 = V302184 - 1. assign V665110 = V064900 + 1. assign V370145 = V268613. assign V365086 = V786789. assign V955855 = V718487 + 1. assign V407519 = V616689 - 1. assign V891272 = V217756 - 1. assign V080838 = V622466 - 1. assign V289174 = V393770 - 1. assign V409254 = V955855 - 1. assign V623705 = V082080. assign V666775 = V105389 - 1. assign V752420 = V552292. assign V984023 = V151191 - 1. assign V530178 = V689942 - 1. assign V526195 = V673002. assign V257221 = V817389. assign V348918 = V183970 - 1. assign V538217 = V576626 + 1. assign V918624 = V025194. assign V871202 = V718849 + 1. assign V123966 = V538881. assign V254935 = V576626. assign V615627 = V332794. assign V420911 = V861208. assign V163131 = V314233 - 1. assign V533661 = V183970. assign V177031 = V891272. assign V557263 = V891272. assign V254659 = V427717. assign V716456 = V331212 + 1. assign V314233 = V761499. assign V649927 = V217756. assign V295901 = V718849 - 1. assign V648297 = V861676. assign V003055 = V530178 - 1. assign V915327 = V599285 - 1. assign V192272 = V737813 + 1. assign V637251 = V689942 - 1. assign V234872 = V040230. assign V722220 = V420911 - 1. assign V320022 = V217756 - 1. assign V082080 = V649588 + 1. assign V848351 = V367614 - 1. assign V306634 = V301334. assign V045541 = V779945. assign V352173 = V420911 + 1. assign V298172 = V823572 + 1. assign V103413 = V706459 - 1. assign V157075 = V409254 - 1. assign V023882 = V393770 - 1. assign V983504 = V538881 + 1. assign V895975 = V221029 + 1. assign V456710 = V743279 - 1. assign V056637 = V222911. assign V599190 = V944088 + 1. assign V345836 = V718849 + 1. assign V698855 = V933592 + 1. assign V452473 = V295807. assign V752484 = V163131. assign V622466 = V314233 - 1. assign V603592 = V157617. assign V367351 = V119371 + 1. assign V946973 = V832444. assign V937991 = V718849. assign V861676 = V722220 + 1. assign V711316 = V254935 - 1. assign V217756 = V420911. assign V193602 = V563090 - 1. assign V393770 = V861208. assign V630436 = V948369. assign V743279 = V407519 - 1. assign V093450 = V025194. assign V797315 = V637251 + 1. assign V236180 = V689942 + 1. assign V779945 = V538217. assign V944088 = V854251. assign V752370 = V234872. assign V115489 = V037825. assign V181369 = V301334. assign V190251 = V121102 - 1. assign V010398 = V522183 - 1. assign V870907 = V832444 - 1. assign V649588 = V183970. assign V227515 = V669700. assign V803589 = V066362 - 1. assign V302184 = V729276 + 1. assign V427597 = V381002. assign V566973 = V123966 + 1. assign V405015 = V367059. assign V335268 = V538217 + 1. assign V151191 = V599285 + 1. assign V731516 = V215712. assign V218949 = V217756. assign V969080 = V165395. assign V341754 = V715054. assign V544768 = V222911 - 1. assign V157617 = V331212. assign V817389 = V024008 + 1. assign V025194 = V120600 + 1. assign V183970 = V689765. assign V940689 = V083510 - 1. assign V367614 = V309565. assign V560237 = V929328 + 1. assign V519842 = V254935 + 1. assign V475646 = V335268 - 1. assign V827389 = V817182 + 1. assign V120600 = V581717. assign V215712 = V161789 + 1. assign V296095 = V803589 + 1. assign V632398 = V616689 + 1. assign V226791 = V997123 + 1. assign V673002 = V554598. assign V501472 = V662552 - 1. assign V753587 = V759778 + 1. assign V367059 = V090344 - 1. assign V689942 = V616689 - 1. assign V210277 = V722220 + 1. assign V710948 = V692649 + 1. assign V593706 = V025194 + 1. assign V174306 = V740907 + 1. assign V718849 = V983504 + 1. assign V611123 = V946973 + 1. assign V992854 = V147050. assign V689765 = V435297 - 1. assign V427717 = V946973 - 1. assign V372439 = V522183 - 1. assign V176966 = V576626 + 1. assign V483894 = V622466 + 1. assign V906751 = V712539. assign V492565 = V674668. assign V068333 = V518851 - 1. assign V553845 = V367059. assign V581717 = V854251 + 1. assign V473018 = V666775 - 1. assign V524468 = V105337 + 1. assign V690569 = V632398. assign V400033 = V198442 - 1. assign V786789 = V295901 + 1. assign V554598 = V091630. assign V692649 = V234872. assign V396447 = V576626. assign V501593 = V302184 - 1. assign V050821 = V538986 + 1. assign V721848 = V348918 - 1. assign V206993 = V858200 + 1. assign V974189 = V396447 + 1. assign V718775 = V342627 - 1. assign V183884 = V083510 - 1. assign V187213 = V660671 + 1. assign V422757 = V183970 - 1. assign V832444 = V151191 + 1. assign V121102 = V673002. assign V331212 = V217756 + 1. assign V987921 = V622466 - 1. assign V504810 = V761499 - 1. assign V729276 = V599285 + 1. assign V649073 = V538881 - 1. assign V343747 = V381002 - 1. assign V445592 = V538881 - 1. assign V434285 = V666081. assign V165395 = V099554. assign V318581 = V939846. assign V963709 = V632398 + 1. assign V997566 = V458510 + 1. assign V480775 = V944088 + 1. assign V064900 = V302184 - 1. assign V500867 = V221029 - 1. assign V200909 = V983504 + 1. assign V458510 = V616689 + 1. assign V455091 = V848351. assign V129565 = V115489 + 1. assign V792467 = V303963. assign V147050 = V302847 - 1. assign V867817 = V314233. assign V960871 = V861676. assign V105337 = V538986 - 1. assign V088997 = V193602 + 1. assign V118078 = V729276. assign V777697 = V821788 - 1. assign V119371 = V662552 + 1. assign V510877 = V435297. assign V550525 = V937991 + 1. assign V222911 = V331212 - 1. assign V534408 = V871202 + 1. assign V563090 = V944088 - 1. assign V400790 = V129565 + 1. assign V024008 = V554598 - 1. assign V398612 = V649073 - 1. assign V674668 = V737813 - 1. assign V102882 = V761499. assign V591703 = V254935. assign V864963 = V779945 + 1. assign V948369 = V615627. assign V303963 = V422757 - 1. assign V821788 = V193602 - 1. assign V829040 = V944088 + 1. assign V021918 = 1. assign V823074 = V689765. assign V345084 = V183970. assign V518851 = V083510. assign V332794 = V345836 + 1. assign V861208 = V576626. assign V616689 = V435297 + 1. assign V326118 = V894846 + 1. assign V092485 = V906378. assign V437565 = V082446 + 1. assign V671674 = V616689. assign V894846 = V963709. assign V425259 = V198442 + 1. assign V834639 = V378112 + 1. assign V732060 = V422757 + 1. assign V302847 = V435297 - 1. assign V200982 = V331212 + 1. assign V662552 = V102882. assign V453849 = V302847 - 1. assign V121247 = V427697 - 1. assign V194718 = V599285. assign V107865 = V648297 - 1. assign V939846 = V829040 - 1. assign V484952 = V722220 - 1. assign V274651 = V309565. assign V263896 = V278003 - 1. assign V229879 = V439317. assign V342627 = V616689. assign V161337 = V302184 + 1. assign V367866 = V448502 - 1. assign V866588 = V318581. assign V325313 = V300943 + 1. assign V082446 = V439317 - 1. assign V297712 = V345084. assign V686292 = V761499 + 1. assign V461951 = V129565. assign V974718 = V175617 - 1. assign V399082 = V021918 - 1. assign V789450 = V711316. assign V710041 = V461951 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV021918 = 1;\n\nFrom these direct assignment(s), we have: \nV399082 = V021918 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V399082;\nV712539 = V021918 = 1;\nV906751 = V712539 = 1;\nNo other varaibles can be derived from V906751;\nNo other varaibles can be derived from V712539;\nV138233 = V021918 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V138233;\nV300943 = V021918 + 1 = 1 + 1 =2;\nV325313 = V300943 + 1 = 2 + 1 =3;\nNo other varaibles can be derived from V325313;\nV817182 = V300943 + 1 = 2 + 1 =3;\nV827389 = V817182 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V827389;\nV328691 = V817182 = 3;\nNo other varaibles can be derived from V328691;\nNo other varaibles can be derived from V817182;\nNo other varaibles can be derived from V300943;\nNo other varaibles can be derived from V021918;\n\nNow we have done all the calculations. Derived variables are:\nV021918 = 1;\nV399082 = 0;\nV712539 = 1;\nV906751 = 1;\nV138233 = 2;\nV300943 = 2;\nV325313 = 3;\nV817182 = 3;\nV827389 = 4;\nV328691 = 3;\n\nNow we have finished this problem. ANSWER:\nV138233, V300943\n", "role": "assistant" } ]

[ "V828262", "V551253", "V866536", "V314603", "V861314" ]

[ { "content": "<context>\nassign V735464 = V401722. assign V306031 = V309772 - 1. assign V771543 = V075483. assign V875769 = V231404 + 1. assign V669599 = V117637 + 1. assign V977069 = V828262 + 1. assign V282064 = V345164. assign V356306 = V942796 - 1. assign V015770 = V079953 - 1. assign V384754 = V427595 - 1. assign V178841 = V867961 + 1. assign V994125 = V972695. assign V054620 = V241980 - 1. assign V940039 = V815625 - 1. assign V159958 = V649575 - 1. assign V913066 = V789660 - 1. assign V531844 = V765103 + 1. assign V283913 = V274878 - 1. assign V693257 = V867961 + 1. assign V791470 = V955752 + 1. assign V260882 = V015770 + 1. assign V140392 = V104741. assign V811637 = V104741 - 1. assign V004579 = V955752 + 1. assign V234217 = V199024 - 1. assign V148196 = V867961 + 1. assign V821038 = V946944 + 1. assign V084464 = V939631. assign V376879 = V649947. assign V600092 = V939898 - 1. assign V665755 = V640897. assign V098008 = V846464 - 1. assign V219074 = V004579 - 1. assign V470927 = V780141 + 1. assign V163262 = V026549 - 1. assign V892065 = V681686 + 1. assign V137498 = V071057 - 1. assign V441325 = V862961 - 1. assign V095167 = V435217 - 1. assign V723760 = V992500 - 1. assign V136825 = V875769 - 1. assign V789660 = V246314. assign V567846 = V689183 - 1. assign V309772 = V649947 - 1. assign V689183 = V190135. assign V680148 = V628150 - 1. assign V024514 = V791470 + 1. assign V529930 = V867961 + 1. assign V652367 = V892065. assign V228012 = V753314 + 1. assign V264753 = V117637 + 1. assign V715970 = V604102. assign V041338 = V940039 - 1. assign V079953 = V949156 - 1. assign V810994 = V828262 - 1. assign V051597 = V779148. assign V456919 = V898318 - 1. assign V479182 = V051597 - 1. assign V432023 = V553788 - 1. assign V959565 = V040087 - 1. assign V330264 = V753347 + 1. assign V516053 = V722198 - 1. assign V757568 = V433307. assign V255633 = V453228 + 1. assign V424779 = V248113 + 1. assign V385858 = V539955. assign V265886 = V138944 - 1. assign V739591 = V136389 + 1. assign V982104 = V453228 - 1. assign V868011 = V875769 - 1. assign V231404 = V881625. assign V169047 = V946944. assign V995201 = V753771 - 1. assign V091920 = V421193 + 1. assign V088314 = V805479 + 1. assign V872437 = V127530 - 1. assign V955553 = V427595 - 1. assign V639885 = V977069 + 1. assign V913051 = V811637 + 1. assign V722198 = V898318 + 1. assign V946944 = V190135 + 1. assign V068894 = V071057. assign V862961 = V045402. assign V045402 = V867961. assign V846464 = V390206. assign V911007 = V169047. assign V184399 = V421193. assign V750064 = V091557. assign V161589 = V427595 - 1. assign V138944 = V167995 + 1. assign V939631 = V368842 + 1. assign V983589 = V246314. assign V166030 = V352678. assign V447308 = V045402 + 1. assign V746710 = V077224. assign V448451 = V712593 - 1. assign V711614 = V553788 + 1. assign V091557 = V045402 - 1. assign V233848 = V689183 + 1. assign V063808 = V821038. assign V101783 = V400311 + 1. assign V389684 = V777187 + 1. assign V264344 = V357935 - 1. assign V983932 = V173517. assign V338078 = V354093. assign V942796 = V791419 - 1. assign V666756 = V881625. assign V193398 = V316377. assign V178745 = V815625 + 1. assign V779148 = V448451. assign V240928 = V649947. assign V100895 = V054620 + 1. assign V285465 = V539955 - 1. assign V939898 = V390206 + 1. assign V104741 = V432981 - 1. assign V121072 = V394906. assign V503249 = V753314. assign V566650 = V045402. assign V400311 = V015770 + 1. assign V553142 = V077478. assign V366945 = V553142 - 1. assign V354093 = V079953 - 1. assign V805479 = V432981 + 1. assign V482050 = V400311. assign V427595 = V167995 - 1. assign V227151 = V753314. assign V934858 = V780141 - 1. assign V875388 = V427595 - 1. assign V819754 = V777187. assign V334814 = V193398 - 1. assign V628150 = V077478. assign V753771 = V054620 - 1. assign V905791 = V433307 + 1. assign V160240 = V763247. assign V640897 = V424657 - 1. assign V189254 = V004579. assign V556330 = V120188. assign V600846 = V849282 + 1. assign V314603 = V828262. assign V975695 = V163262 - 1. assign V648086 = V389684 - 1. assign V199024 = V753314. assign V035180 = V742644 - 1. assign V285173 = V061489 + 1. assign V964032 = V005747 + 1. assign V815625 = V424657. assign V400940 = V285173 - 1. assign V723371 = V448451 - 1. assign V423761 = V791419 + 1. assign V414836 = V649947. assign V248113 = V891788. assign V280465 = V428354 + 1. assign V255039 = V693257 + 1. assign V105143 = V995201. assign V570149 = V389528 + 1. assign V077400 = V829369. assign V345164 = V178841. assign V753355 = V401722 - 1. assign V076248 = V434919. assign V445504 = V892065. assign V719906 = V285820. assign V022493 = V680148. assign V352678 = V150820. assign V545996 = V753771 - 1. assign V173517 = V946944. assign V216635 = V150820. assign V792823 = V829369 + 1. assign V270276 = V231404 + 1. assign V649947 = V949156. assign V770086 = V680148. assign V898210 = V309772. assign V726748 = V120188 + 1. assign V273641 = V228012 - 1. assign V695306 = V677775 + 1. assign V604102 = V659256 - 1. assign V972695 = V949156 + 1. assign V421193 = V424657 - 1. assign V294064 = V995201 - 1. assign V424657 = V432981 - 1. assign V136533 = V777187 - 1. assign V890967 = V104741 + 1. assign V428354 = V394906 - 1. assign V992500 = V881625 - 1. assign V992426 = V433307 + 1. assign V729191 = V742644. assign V167995 = V246314 - 1. assign V005747 = V173517 + 1. assign V641878 = V693257. assign V780141 = V432981. assign V403530 = V753771. assign V394906 = V015770 + 1. assign V753347 = V875769. assign V091351 = V079953 - 1. assign V243834 = V106194 + 1. assign V075483 = V210959 + 1. assign V450308 = V121072. assign V181443 = V091351 + 1. assign V720375 = V472296 - 1. assign V173236 = V763247. assign V439852 = V600092. assign V821839 = V913066. assign V120188 = V432981 + 1. assign V539955 = V389455 - 1. assign V042276 = V098008. assign V209987 = V338078. assign V438022 = V088314. assign V035361 = V600092 + 1. assign V433307 = V641878. assign V473536 = V648086. assign V457243 = V077224 - 1. assign V048737 = V376879 - 1. assign V229033 = V862961 - 1. assign V418325 = V955553 - 1. assign V891788 = V079953 + 1. assign V874761 = V777187. assign V775237 = V624252 + 1. assign V357935 = V616119 - 1. assign V503783 = V061489 - 1. assign V075222 = V992426 - 1. assign V551253 = V828262. assign V285820 = V173236 + 1. assign V071057 = V285173 + 1. assign V150820 = V054620 + 1. assign V777187 = V015770 - 1. assign V316377 = V356306. assign V826160 = V659256. assign V368842 = V955752 - 1. assign V680054 = V265886 - 1. assign V579815 = 9. assign V149366 = V079953. assign V434919 = V753771 + 1. assign V792314 = V041338 - 1. assign V858495 = V995201 + 1. assign V659256 = V309772. assign V796989 = V553788. assign V117943 = V955752. assign V304131 = V942796 - 1. assign V365266 = V228012 - 1. assign V270693 = V779148 - 1. assign V866536 = V551253. assign V663128 = V273641 + 1. assign V450865 = V598111 - 1. assign V119465 = V516053 - 1. assign V077224 = V992500. assign V439758 = V846464 - 1. assign V488493 = V137498. assign V809318 = V539955 + 1. assign V453228 = V390206 + 1. assign V624252 = V150820 - 1. assign V701673 = V598111 - 1. assign V746077 = V648086 + 1. assign V010131 = V079953. assign V080195 = V821038 + 1. assign V742644 = V545996 - 1. assign V127530 = V545996. assign V665547 = V304131 + 1. assign V383293 = V738381 + 1. assign V849282 = V796989 - 1. assign V598111 = V787191 + 1. assign V241980 = V949156 - 1. assign V822580 = V149366. assign V210959 = V791419 - 1. assign V355372 = V805479 - 1. assign V372633 = V680148 - 1. assign V679579 = V173517. assign V389455 = V946944. assign V246314 = V949156. assign V624421 = V949156. assign V827615 = V955752 + 1. assign V173938 = V274878 - 1. assign V877580 = V531844 + 1. assign V980199 = V005747 + 1. assign V712593 = V432678 - 1. assign V510345 = V679579 - 1. assign V853868 = V120188 - 1. assign V615197 = V160240 - 1. assign V996959 = V946944 + 1. assign V554043 = V949156. assign V268215 = V858495 + 1. assign V435217 = V178841 - 1. assign V521710 = V600092. assign V451923 = V972695 - 1. assign V106194 = V246314 - 1. assign V570544 = V939898 + 1. assign V109862 = V365266. assign V472296 = V389684 - 1. assign V445015 = V942796 - 1. assign V401722 = V015770 + 1. assign V645936 = V939898. assign V190135 = V079953. assign V404112 = V955752 + 1. assign V026549 = V753771 + 1. assign V432678 = V805479 - 1. assign V553788 = V424657. assign V100554 = V983589 - 1. assign V117637 = V946944. assign V274878 = V742644 + 1. assign V123172 = V054620 + 1. assign V243404 = V570149 - 1. assign V637263 = V428354 - 1. assign V738381 = V554043 + 1. assign V653999 = V401722. assign V763247 = V946944. assign V441378 = V389528 - 1. assign V213145 = V942796. assign V021512 = V659256 - 1. assign V867961 = V181443 + 1. assign V677775 = V026549. assign V879650 = V101783 - 1. assign V064625 = V433307 + 1. assign V077478 = V666756 + 1. assign V791419 = V939898 + 1. assign V828262 = V579815 - 1. assign V838248 = V335886 + 1. assign V700709 = V433307 - 1. assign V016042 = V992500 + 1. assign V829369 = V167995 + 1. assign V291652 = V255039 + 1. assign V432981 = V246314 - 1. assign V283615 = V791470. assign V390206 = V190135 + 1. assign V352581 = V753355 + 1. assign V787191 = V946944 + 1. assign V560338 = V355372. assign V136389 = V640897 - 1. assign V649575 = V560338. assign V768172 = V064625 - 1. assign V655055 = V742644 - 1. assign V937463 = V796989 - 1. assign V861314 = V551253. assign V389528 = V091351 - 1. assign V082404 = V639885 + 1. assign V548150 = V127530. assign V681686 = V867961 - 1. assign V228657 = V567846 + 1. assign V986846 = V846464 + 1. assign V488264 = V167995 + 1. assign V235075 = V598111. assign V098320 = V428354. assign V881625 = V649947. assign V765103 = V088314. assign V616119 = V645936 + 1. assign V335886 = V874761 - 1. assign V898318 = V939898 - 1. assign V753314 = V190135. assign V766185 = V071057 + 1. assign V040087 = V566650 + 1. assign V476619 = V079953 - 1. assign V955752 = V983589 - 1. assign V061489 = V390206. assign V717967 = V815625 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V735464 = V401722. assign V306031 = V309772 - 1. assign V771543 = V075483. assign V875769 = V231404 + 1. assign V669599 = V117637 + 1. assign V977069 = V828262 + 1. assign V282064 = V345164. assign V356306 = V942796 - 1. assign V015770 = V079953 - 1. assign V384754 = V427595 - 1. assign V178841 = V867961 + 1. assign V994125 = V972695. assign V054620 = V241980 - 1. assign V940039 = V815625 - 1. assign V159958 = V649575 - 1. assign V913066 = V789660 - 1. assign V531844 = V765103 + 1. assign V283913 = V274878 - 1. assign V693257 = V867961 + 1. assign V791470 = V955752 + 1. assign V260882 = V015770 + 1. assign V140392 = V104741. assign V811637 = V104741 - 1. assign V004579 = V955752 + 1. assign V234217 = V199024 - 1. assign V148196 = V867961 + 1. assign V821038 = V946944 + 1. assign V084464 = V939631. assign V376879 = V649947. assign V600092 = V939898 - 1. assign V665755 = V640897. assign V098008 = V846464 - 1. assign V219074 = V004579 - 1. assign V470927 = V780141 + 1. assign V163262 = V026549 - 1. assign V892065 = V681686 + 1. assign V137498 = V071057 - 1. assign V441325 = V862961 - 1. assign V095167 = V435217 - 1. assign V723760 = V992500 - 1. assign V136825 = V875769 - 1. assign V789660 = V246314. assign V567846 = V689183 - 1. assign V309772 = V649947 - 1. assign V689183 = V190135. assign V680148 = V628150 - 1. assign V024514 = V791470 + 1. assign V529930 = V867961 + 1. assign V652367 = V892065. assign V228012 = V753314 + 1. assign V264753 = V117637 + 1. assign V715970 = V604102. assign V041338 = V940039 - 1. assign V079953 = V949156 - 1. assign V810994 = V828262 - 1. assign V051597 = V779148. assign V456919 = V898318 - 1. assign V479182 = V051597 - 1. assign V432023 = V553788 - 1. assign V959565 = V040087 - 1. assign V330264 = V753347 + 1. assign V516053 = V722198 - 1. assign V757568 = V433307. assign V255633 = V453228 + 1. assign V424779 = V248113 + 1. assign V385858 = V539955. assign V265886 = V138944 - 1. assign V739591 = V136389 + 1. assign V982104 = V453228 - 1. assign V868011 = V875769 - 1. assign V231404 = V881625. assign V169047 = V946944. assign V995201 = V753771 - 1. assign V091920 = V421193 + 1. assign V088314 = V805479 + 1. assign V872437 = V127530 - 1. assign V955553 = V427595 - 1. assign V639885 = V977069 + 1. assign V913051 = V811637 + 1. assign V722198 = V898318 + 1. assign V946944 = V190135 + 1. assign V068894 = V071057. assign V862961 = V045402. assign V045402 = V867961. assign V846464 = V390206. assign V911007 = V169047. assign V184399 = V421193. assign V750064 = V091557. assign V161589 = V427595 - 1. assign V138944 = V167995 + 1. assign V939631 = V368842 + 1. assign V983589 = V246314. assign V166030 = V352678. assign V447308 = V045402 + 1. assign V746710 = V077224. assign V448451 = V712593 - 1. assign V711614 = V553788 + 1. assign V091557 = V045402 - 1. assign V233848 = V689183 + 1. assign V063808 = V821038. assign V101783 = V400311 + 1. assign V389684 = V777187 + 1. assign V264344 = V357935 - 1. assign V983932 = V173517. assign V338078 = V354093. assign V942796 = V791419 - 1. assign V666756 = V881625. assign V193398 = V316377. assign V178745 = V815625 + 1. assign V779148 = V448451. assign V240928 = V649947. assign V100895 = V054620 + 1. assign V285465 = V539955 - 1. assign V939898 = V390206 + 1. assign V104741 = V432981 - 1. assign V121072 = V394906. assign V503249 = V753314. assign V566650 = V045402. assign V400311 = V015770 + 1. assign V553142 = V077478. assign V366945 = V553142 - 1. assign V354093 = V079953 - 1. assign V805479 = V432981 + 1. assign V482050 = V400311. assign V427595 = V167995 - 1. assign V227151 = V753314. assign V934858 = V780141 - 1. assign V875388 = V427595 - 1. assign V819754 = V777187. assign V334814 = V193398 - 1. assign V628150 = V077478. assign V753771 = V054620 - 1. assign V905791 = V433307 + 1. assign V160240 = V763247. assign V640897 = V424657 - 1. assign V189254 = V004579. assign V556330 = V120188. assign V600846 = V849282 + 1. assign V314603 = V828262. assign V975695 = V163262 - 1. assign V648086 = V389684 - 1. assign V199024 = V753314. assign V035180 = V742644 - 1. assign V285173 = V061489 + 1. assign V964032 = V005747 + 1. assign V815625 = V424657. assign V400940 = V285173 - 1. assign V723371 = V448451 - 1. assign V423761 = V791419 + 1. assign V414836 = V649947. assign V248113 = V891788. assign V280465 = V428354 + 1. assign V255039 = V693257 + 1. assign V105143 = V995201. assign V570149 = V389528 + 1. assign V077400 = V829369. assign V345164 = V178841. assign V753355 = V401722 - 1. assign V076248 = V434919. assign V445504 = V892065. assign V719906 = V285820. assign V022493 = V680148. assign V352678 = V150820. assign V545996 = V753771 - 1. assign V173517 = V946944. assign V216635 = V150820. assign V792823 = V829369 + 1. assign V270276 = V231404 + 1. assign V649947 = V949156. assign V770086 = V680148. assign V898210 = V309772. assign V726748 = V120188 + 1. assign V273641 = V228012 - 1. assign V695306 = V677775 + 1. assign V604102 = V659256 - 1. assign V972695 = V949156 + 1. assign V421193 = V424657 - 1. assign V294064 = V995201 - 1. assign V424657 = V432981 - 1. assign V136533 = V777187 - 1. assign V890967 = V104741 + 1. assign V428354 = V394906 - 1. assign V992500 = V881625 - 1. assign V992426 = V433307 + 1. assign V729191 = V742644. assign V167995 = V246314 - 1. assign V005747 = V173517 + 1. assign V641878 = V693257. assign V780141 = V432981. assign V403530 = V753771. assign V394906 = V015770 + 1. assign V753347 = V875769. assign V091351 = V079953 - 1. assign V243834 = V106194 + 1. assign V075483 = V210959 + 1. assign V450308 = V121072. assign V181443 = V091351 + 1. assign V720375 = V472296 - 1. assign V173236 = V763247. assign V439852 = V600092. assign V821839 = V913066. assign V120188 = V432981 + 1. assign V539955 = V389455 - 1. assign V042276 = V098008. assign V209987 = V338078. assign V438022 = V088314. assign V035361 = V600092 + 1. assign V433307 = V641878. assign V473536 = V648086. assign V457243 = V077224 - 1. assign V048737 = V376879 - 1. assign V229033 = V862961 - 1. assign V418325 = V955553 - 1. assign V891788 = V079953 + 1. assign V874761 = V777187. assign V775237 = V624252 + 1. assign V357935 = V616119 - 1. assign V503783 = V061489 - 1. assign V075222 = V992426 - 1. assign V551253 = V828262. assign V285820 = V173236 + 1. assign V071057 = V285173 + 1. assign V150820 = V054620 + 1. assign V777187 = V015770 - 1. assign V316377 = V356306. assign V826160 = V659256. assign V368842 = V955752 - 1. assign V680054 = V265886 - 1. assign V579815 = 9. assign V149366 = V079953. assign V434919 = V753771 + 1. assign V792314 = V041338 - 1. assign V858495 = V995201 + 1. assign V659256 = V309772. assign V796989 = V553788. assign V117943 = V955752. assign V304131 = V942796 - 1. assign V365266 = V228012 - 1. assign V270693 = V779148 - 1. assign V866536 = V551253. assign V663128 = V273641 + 1. assign V450865 = V598111 - 1. assign V119465 = V516053 - 1. assign V077224 = V992500. assign V439758 = V846464 - 1. assign V488493 = V137498. assign V809318 = V539955 + 1. assign V453228 = V390206 + 1. assign V624252 = V150820 - 1. assign V701673 = V598111 - 1. assign V746077 = V648086 + 1. assign V010131 = V079953. assign V080195 = V821038 + 1. assign V742644 = V545996 - 1. assign V127530 = V545996. assign V665547 = V304131 + 1. assign V383293 = V738381 + 1. assign V849282 = V796989 - 1. assign V598111 = V787191 + 1. assign V241980 = V949156 - 1. assign V822580 = V149366. assign V210959 = V791419 - 1. assign V355372 = V805479 - 1. assign V372633 = V680148 - 1. assign V679579 = V173517. assign V389455 = V946944. assign V246314 = V949156. assign V624421 = V949156. assign V827615 = V955752 + 1. assign V173938 = V274878 - 1. assign V877580 = V531844 + 1. assign V980199 = V005747 + 1. assign V712593 = V432678 - 1. assign V510345 = V679579 - 1. assign V853868 = V120188 - 1. assign V615197 = V160240 - 1. assign V996959 = V946944 + 1. assign V554043 = V949156. assign V268215 = V858495 + 1. assign V435217 = V178841 - 1. assign V521710 = V600092. assign V451923 = V972695 - 1. assign V106194 = V246314 - 1. assign V570544 = V939898 + 1. assign V109862 = V365266. assign V472296 = V389684 - 1. assign V445015 = V942796 - 1. assign V401722 = V015770 + 1. assign V645936 = V939898. assign V190135 = V079953. assign V404112 = V955752 + 1. assign V026549 = V753771 + 1. assign V432678 = V805479 - 1. assign V553788 = V424657. assign V100554 = V983589 - 1. assign V117637 = V946944. assign V274878 = V742644 + 1. assign V123172 = V054620 + 1. assign V243404 = V570149 - 1. assign V637263 = V428354 - 1. assign V738381 = V554043 + 1. assign V653999 = V401722. assign V763247 = V946944. assign V441378 = V389528 - 1. assign V213145 = V942796. assign V021512 = V659256 - 1. assign V867961 = V181443 + 1. assign V677775 = V026549. assign V879650 = V101783 - 1. assign V064625 = V433307 + 1. assign V077478 = V666756 + 1. assign V791419 = V939898 + 1. assign V828262 = V579815 - 1. assign V838248 = V335886 + 1. assign V700709 = V433307 - 1. assign V016042 = V992500 + 1. assign V829369 = V167995 + 1. assign V291652 = V255039 + 1. assign V432981 = V246314 - 1. assign V283615 = V791470. assign V390206 = V190135 + 1. assign V352581 = V753355 + 1. assign V787191 = V946944 + 1. assign V560338 = V355372. assign V136389 = V640897 - 1. assign V649575 = V560338. assign V768172 = V064625 - 1. assign V655055 = V742644 - 1. assign V937463 = V796989 - 1. assign V861314 = V551253. assign V389528 = V091351 - 1. assign V082404 = V639885 + 1. assign V548150 = V127530. assign V681686 = V867961 - 1. assign V228657 = V567846 + 1. assign V986846 = V846464 + 1. assign V488264 = V167995 + 1. assign V235075 = V598111. assign V098320 = V428354. assign V881625 = V649947. assign V765103 = V088314. assign V616119 = V645936 + 1. assign V335886 = V874761 - 1. assign V898318 = V939898 - 1. assign V753314 = V190135. assign V766185 = V071057 + 1. assign V040087 = V566650 + 1. assign V476619 = V079953 - 1. assign V955752 = V983589 - 1. assign V061489 = V390206. assign V717967 = V815625 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV579815 = 9;\n\nFrom these direct assignment(s), we have: \nV828262 = V579815 - 1 = 9 - 1 =8;\nV551253 = V828262 = 8;\nV861314 = V551253 = 8;\nNo other varaibles can be derived from V861314;\nV866536 = V551253 = 8;\nNo other varaibles can be derived from V866536;\nNo other varaibles can be derived from V551253;\nV314603 = V828262 = 8;\nNo other varaibles can be derived from V314603;\nV810994 = V828262 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V810994;\nV977069 = V828262 + 1 = 8 + 1 =9;\nV639885 = V977069 + 1 = 9 + 1 =10;\nV082404 = V639885 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V082404;\nNo other varaibles can be derived from V639885;\nNo other varaibles can be derived from V977069;\nNo other varaibles can be derived from V828262;\nNo other varaibles can be derived from V579815;\n\nNow we have done all the calculations. Derived variables are:\nV579815 = 9;\nV828262 = 8;\nV551253 = 8;\nV861314 = 8;\nV866536 = 8;\nV314603 = 8;\nV810994 = 7;\nV977069 = 9;\nV639885 = 10;\nV082404 = 11;\n\nNow we have finished this problem. ANSWER:\nV828262, V551253, V861314, V866536, V314603\n", "role": "assistant" } ]

[ "V881760", "V109667", "V453807", "V486615" ]

[ { "content": "<context>\nassign V044856 = V501935 + 1. assign V232929 = V403580. assign V066982 = V706946. assign V648274 = V061631 - 1. assign V563139 = V988470 + 1. assign V356466 = V269204 + 1. assign V146536 = V428144 - 1. assign V715542 = V862040 + 1. assign V457791 = V629659 + 1. assign V996509 = V505906 + 1. assign V286348 = V318227 - 1. assign V546182 = V168386 + 1. assign V987840 = V378514. assign V735978 = V107413 + 1. assign V087639 = V730691. assign V220436 = V396388 - 1. assign V036900 = V050451. assign V809162 = V730691 - 1. assign V960181 = V521513 - 1. assign V507822 = V809730 + 1. assign V490553 = V363576 - 1. assign V050306 = V735527. assign V066765 = V060143. assign V920319 = V047625 - 1. assign V768680 = V369661. assign V049429 = V206571 + 1. assign V720049 = V981384. assign V831682 = V813843 + 1. assign V838904 = V363894 + 1. assign V964882 = V505906 + 1. assign V957066 = V500461. assign V730441 = V308875 + 1. assign V881760 = 0. assign V136603 = V546182. assign V160011 = V890373. assign V812734 = V830009 + 1. assign V580348 = V672992 + 1. assign V597369 = V109667 - 1. assign V303103 = V367151. assign V436982 = V256070. assign V893703 = V952238 - 1. assign V651343 = V948134. assign V133792 = V825937 - 1. assign V128795 = V049429 - 1. assign V032452 = V376253. assign V428144 = V212299. assign V735527 = V644389 - 1. assign V563764 = V912250 - 1. assign V050273 = V862040 + 1. assign V140320 = V320016. assign V476512 = V555284 + 1. assign V608781 = V492937 - 1. assign V973748 = V853095 + 1. assign V047625 = V256070. assign V039125 = V881760 + 1. assign V010124 = V995742. assign V495005 = V989861 + 1. assign V473440 = V136603 + 1. assign V862040 = V785814 - 1. assign V328751 = V396388 + 1. assign V785814 = V644389 + 1. assign V095921 = V049429 - 1. assign V378514 = V995742. assign V019060 = V830009 + 1. assign V107413 = V060143 - 1. assign V246651 = V688640 + 1. assign V979895 = V447522. assign V526197 = V498135. assign V212299 = V644389 + 1. assign V887662 = V231127. assign V231127 = V411976. assign V708745 = V171724 - 1. assign V688368 = V982595 - 1. assign V771356 = V971136. assign V575080 = V308875 + 1. assign V165928 = V453807 + 1. assign V966669 = V154824. assign V716777 = V608781 - 1. assign V006445 = V256070 - 1. assign V396388 = V521513 - 1. assign V403580 = V965051 + 1. assign V790991 = V473440 - 1. assign V834223 = V864482 + 1. assign V583893 = V363894 + 1. assign V043370 = V224614 - 1. assign V492937 = V040025 + 1. assign V235980 = V436982. assign V050451 = V256070 + 1. assign V433531 = V177234 - 1. assign V100159 = V706946. assign V730691 = V058878 + 1. assign V060143 = V061631. assign V818297 = V050306. assign V621064 = V749307 + 1. assign V177234 = V830009 + 1. assign V621191 = V142346 - 1. assign V586027 = V973748 - 1. assign V058878 = V212299. assign V250492 = V580348 - 1. assign V973907 = V509825. assign V184654 = V142346. assign V812441 = V433136 + 1. assign V012507 = V563139 - 1. assign V651990 = V663323 - 1. assign V298254 = V388408. assign V151834 = V388408. assign V418851 = V500461. assign V881615 = V995779 - 1. assign V453807 = V017743 + 1. assign V755885 = V965403 - 1. assign V521513 = V140320 - 1. assign V505906 = V308875 + 1. assign V369661 = V049429 + 1. assign V917866 = V509825 - 1. assign V686658 = V301502 + 1. assign V029164 = V231450 + 1. assign V418306 = V546182 - 1. assign V256070 = V428144 + 1. assign V968977 = V791474 - 1. assign V541315 = V287627. assign V292703 = V005354. assign V363653 = V447522 - 1. assign V191350 = V521513 + 1. assign V353602 = V050273. assign V977819 = V388408 + 1. assign V111836 = V862040 - 1. assign V910445 = V806441 + 1. assign V355761 = V107413. assign V706946 = V550661 - 1. assign V473503 = V044856 + 1. assign V732814 = V952238. assign V507629 = V785814 + 1. assign V269204 = V864482 + 1. assign V538070 = V521513 + 1. assign V969115 = V768680 + 1. assign V173092 = V428144 - 1. assign V500461 = V862040. assign V927446 = V834223 - 1. assign V333090 = V862378. assign V526187 = V932283. assign V982595 = V818297 + 1. assign V606323 = V505906 + 1. assign V952238 = V841165 + 1. assign V271726 = V546182 - 1. assign V231450 = V049429 + 1. assign V367151 = V447294. assign V777566 = V730691 - 1. assign V946595 = V412908 + 1. assign V273989 = V526187 + 1. assign V628457 = V965051. assign V965403 = V376253 + 1. assign V425384 = V403580 - 1. assign V571029 = V060143. assign V363576 = V785814. assign V436442 = V070983. assign V226228 = V197580 - 1. assign V988470 = V706946 + 1. assign V428585 = V706946 + 1. assign V583943 = V306226. assign V413906 = V191350. assign V036039 = V947057 - 1. assign V857109 = V706946 - 1. assign V464495 = V308875. assign V224614 = V791474. assign V486615 = V453807. assign V506558 = V957066 + 1. assign V887607 = V672992 + 1. assign V198787 = V017743. assign V862378 = V061631. assign V447522 = V818297 - 1. assign V283135 = V306226 + 1. assign V242872 = V716777 - 1. assign V046251 = V054162. assign V555284 = V915611 + 1. assign V532790 = V224614 - 1. assign V981384 = V932283 + 1. assign V919614 = V412216 - 1. assign V355208 = V853095 - 1. assign V550661 = V050273. assign V545751 = V151834 - 1. assign V995742 = V271726. assign V758544 = V376253. assign V363894 = V919614 + 1. assign V777815 = V301502 - 1. assign V362520 = V841165 + 1. assign V832584 = V785814. assign V227775 = V142346 + 1. assign V417861 = V590571. assign V184417 = V995742 + 1. assign V368018 = V546182. assign V388408 = V582430 + 1. assign V676956 = V005354 + 1. assign V022022 = V318227 + 1. assign V971136 = V832584. assign V447294 = V521513 - 1. assign V806441 = V146536 + 1. assign V457745 = V257596. assign V330465 = V720049. assign V061631 = V050273 - 1. assign V688640 = V841165 + 1. assign V811759 = V582430 + 1. assign V389079 = V061631. assign V456258 = V206571 - 1. assign V287627 = V232919 + 1. assign V947057 = V500461 + 1. assign V118295 = V590571 + 1. assign V054162 = V862040. assign V473142 = V320016 + 1. assign V977694 = V841165. assign V827900 = V184417. assign V881712 = V227775 + 1. assign V114556 = V376253 + 1. assign V781578 = V553819 + 1. assign V989861 = V400515 - 1. assign V437100 = V521513 + 1. assign V510300 = V107413 - 1. assign V104812 = V672992 - 1. assign V583378 = V301502 + 1. assign V649300 = V526187 - 1. assign V825937 = V257596. assign V786678 = V232919 - 1. assign V498135 = V791474. assign V556491 = V832584 - 1. assign V286814 = V427031. assign V320016 = V142346 - 1. assign V232919 = V212299 + 1. assign V602169 = V965051. assign V195381 = V881615. assign V525465 = V250492 + 1. assign V197580 = V505906 + 1. assign V490879 = V621191 + 1. assign V703634 = V832584 + 1. assign V252733 = V708745 + 1. assign V455564 = V390978 - 1. assign V978587 = V037435 + 1. assign V611309 = V648274 + 1. assign V318227 = V058878 - 1. assign V912250 = V809730. assign V248041 = V061631 + 1. assign V682236 = V436982 - 1. assign V582430 = V664066 + 1. assign V908315 = V257596. assign V854848 = V505906 - 1. assign V393547 = V771356. assign V719175 = V058878 - 1. assign V915611 = V932283. assign V656065 = V301502. assign V601332 = V393852 + 1. assign V640240 = V919614. assign V749307 = V090313 + 1. assign V109667 = V039125 - 1. assign V412908 = V706946 + 1. assign V430209 = V209490. assign V099169 = V430209 - 1. assign V257596 = V988470 - 1. assign V663323 = V449700 - 1. assign V532543 = V428144 - 1. assign V512371 = V492937 - 1. assign V308875 = V818297 - 1. assign V407885 = V184654. assign V481735 = V665341 + 1. assign V932283 = V644389 + 1. assign V449700 = V768680 - 1. assign V017743 = V881760 - 1. assign V753235 = V396388 - 1. assign V040025 = V686658 - 1. assign V404412 = V500461 + 1. assign V446724 = V719175 - 1. assign V664066 = V050273 + 1. assign V598729 = V095800 - 1. assign V037435 = V688368 + 1. assign V611638 = V758544. assign V432375 = V363576. assign V390978 = V376253. assign V398622 = V017743 - 1. assign V948134 = V388408. assign V301502 = V058878 - 1. assign V763869 = V363653 - 1. assign V468724 = V473142 + 1. assign V509825 = V369661. assign V168386 = V050273. assign V629659 = V388408 - 1. assign V099629 = V151834 + 1. assign V151493 = V425703 - 1. assign V171724 = V142346. assign V871834 = V629659 - 1. assign V767869 = V142346 + 1. assign V639660 = V492937. assign V393852 = V767088. assign V553819 = V825937. assign V663619 = V212299. assign V090313 = V841165 + 1. assign V289877 = V419026 + 1. assign V631696 = V582430 - 1. assign V758070 = V473142 - 1. assign V841165 = V142346 - 1. assign V412216 = V500461. assign V513156 = V367151 + 1. assign V005354 = V735527 - 1. assign V665341 = V320016 - 1. assign V740791 = V538070 + 1. assign V640143 = V177234 - 1. assign V170344 = V688640 + 1. assign V419051 = V965403 + 1. assign V987143 = V209490. assign V830009 = V142346 - 1. assign V520869 = V160011 + 1. assign V397488 = V777815 + 1. assign V885704 = V191350. assign V433136 = V830009 - 1. assign V306226 = V168386 + 1. assign V411976 = V965051 + 1. assign V853095 = V320016 + 1. assign V864482 = V965051 - 1. assign V079612 = V854848. assign V206571 = V932283 - 1. assign V672992 = V376253 - 1. assign V209490 = V830009 - 1. assign V791474 = V550661. assign V566200 = V050273 + 1. assign V809730 = V232919 - 1. assign V398229 = V505906 - 1. assign V376253 = V932283 + 1. assign V392471 = V767088 + 1. assign V181164 = V957066 - 1. assign V400515 = V500461 + 1. assign V217013 = V621064 - 1. assign V767088 = V505906 + 1. assign V965051 = V862040. assign V651776 = V768680. assign V890373 = V947057. assign V142346 = V785814. assign V024830 = V425703 + 1. assign V995779 = V555284 - 1. assign V501935 = V151493. assign V425703 = V168386 - 1. assign V079607 = V066982 + 1. assign V070983 = V818297 + 1. assign V590571 = V224614 + 1. assign V154824 = V830009 + 1. assign V484378 = V070983. assign V088990 = V107413 - 1. assign V813843 = V730691 + 1. assign V956676 = V232929. assign V939890 = V648274 - 1. assign V115553 = V368018 + 1. assign V427031 = V398229 - 1. assign V939588 = V989861 - 1. assign V095800 = V495005. assign V419026 = V257596 + 1. assign V697319 = V973748 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V044856 = V501935 + 1. assign V232929 = V403580. assign V066982 = V706946. assign V648274 = V061631 - 1. assign V563139 = V988470 + 1. assign V356466 = V269204 + 1. assign V146536 = V428144 - 1. assign V715542 = V862040 + 1. assign V457791 = V629659 + 1. assign V996509 = V505906 + 1. assign V286348 = V318227 - 1. assign V546182 = V168386 + 1. assign V987840 = V378514. assign V735978 = V107413 + 1. assign V087639 = V730691. assign V220436 = V396388 - 1. assign V036900 = V050451. assign V809162 = V730691 - 1. assign V960181 = V521513 - 1. assign V507822 = V809730 + 1. assign V490553 = V363576 - 1. assign V050306 = V735527. assign V066765 = V060143. assign V920319 = V047625 - 1. assign V768680 = V369661. assign V049429 = V206571 + 1. assign V720049 = V981384. assign V831682 = V813843 + 1. assign V838904 = V363894 + 1. assign V964882 = V505906 + 1. assign V957066 = V500461. assign V730441 = V308875 + 1. assign V881760 = 0. assign V136603 = V546182. assign V160011 = V890373. assign V812734 = V830009 + 1. assign V580348 = V672992 + 1. assign V597369 = V109667 - 1. assign V303103 = V367151. assign V436982 = V256070. assign V893703 = V952238 - 1. assign V651343 = V948134. assign V133792 = V825937 - 1. assign V128795 = V049429 - 1. assign V032452 = V376253. assign V428144 = V212299. assign V735527 = V644389 - 1. assign V563764 = V912250 - 1. assign V050273 = V862040 + 1. assign V140320 = V320016. assign V476512 = V555284 + 1. assign V608781 = V492937 - 1. assign V973748 = V853095 + 1. assign V047625 = V256070. assign V039125 = V881760 + 1. assign V010124 = V995742. assign V495005 = V989861 + 1. assign V473440 = V136603 + 1. assign V862040 = V785814 - 1. assign V328751 = V396388 + 1. assign V785814 = V644389 + 1. assign V095921 = V049429 - 1. assign V378514 = V995742. assign V019060 = V830009 + 1. assign V107413 = V060143 - 1. assign V246651 = V688640 + 1. assign V979895 = V447522. assign V526197 = V498135. assign V212299 = V644389 + 1. assign V887662 = V231127. assign V231127 = V411976. assign V708745 = V171724 - 1. assign V688368 = V982595 - 1. assign V771356 = V971136. assign V575080 = V308875 + 1. assign V165928 = V453807 + 1. assign V966669 = V154824. assign V716777 = V608781 - 1. assign V006445 = V256070 - 1. assign V396388 = V521513 - 1. assign V403580 = V965051 + 1. assign V790991 = V473440 - 1. assign V834223 = V864482 + 1. assign V583893 = V363894 + 1. assign V043370 = V224614 - 1. assign V492937 = V040025 + 1. assign V235980 = V436982. assign V050451 = V256070 + 1. assign V433531 = V177234 - 1. assign V100159 = V706946. assign V730691 = V058878 + 1. assign V060143 = V061631. assign V818297 = V050306. assign V621064 = V749307 + 1. assign V177234 = V830009 + 1. assign V621191 = V142346 - 1. assign V586027 = V973748 - 1. assign V058878 = V212299. assign V250492 = V580348 - 1. assign V973907 = V509825. assign V184654 = V142346. assign V812441 = V433136 + 1. assign V012507 = V563139 - 1. assign V651990 = V663323 - 1. assign V298254 = V388408. assign V151834 = V388408. assign V418851 = V500461. assign V881615 = V995779 - 1. assign V453807 = V017743 + 1. assign V755885 = V965403 - 1. assign V521513 = V140320 - 1. assign V505906 = V308875 + 1. assign V369661 = V049429 + 1. assign V917866 = V509825 - 1. assign V686658 = V301502 + 1. assign V029164 = V231450 + 1. assign V418306 = V546182 - 1. assign V256070 = V428144 + 1. assign V968977 = V791474 - 1. assign V541315 = V287627. assign V292703 = V005354. assign V363653 = V447522 - 1. assign V191350 = V521513 + 1. assign V353602 = V050273. assign V977819 = V388408 + 1. assign V111836 = V862040 - 1. assign V910445 = V806441 + 1. assign V355761 = V107413. assign V706946 = V550661 - 1. assign V473503 = V044856 + 1. assign V732814 = V952238. assign V507629 = V785814 + 1. assign V269204 = V864482 + 1. assign V538070 = V521513 + 1. assign V969115 = V768680 + 1. assign V173092 = V428144 - 1. assign V500461 = V862040. assign V927446 = V834223 - 1. assign V333090 = V862378. assign V526187 = V932283. assign V982595 = V818297 + 1. assign V606323 = V505906 + 1. assign V952238 = V841165 + 1. assign V271726 = V546182 - 1. assign V231450 = V049429 + 1. assign V367151 = V447294. assign V777566 = V730691 - 1. assign V946595 = V412908 + 1. assign V273989 = V526187 + 1. assign V628457 = V965051. assign V965403 = V376253 + 1. assign V425384 = V403580 - 1. assign V571029 = V060143. assign V363576 = V785814. assign V436442 = V070983. assign V226228 = V197580 - 1. assign V988470 = V706946 + 1. assign V428585 = V706946 + 1. assign V583943 = V306226. assign V413906 = V191350. assign V036039 = V947057 - 1. assign V857109 = V706946 - 1. assign V464495 = V308875. assign V224614 = V791474. assign V486615 = V453807. assign V506558 = V957066 + 1. assign V887607 = V672992 + 1. assign V198787 = V017743. assign V862378 = V061631. assign V447522 = V818297 - 1. assign V283135 = V306226 + 1. assign V242872 = V716777 - 1. assign V046251 = V054162. assign V555284 = V915611 + 1. assign V532790 = V224614 - 1. assign V981384 = V932283 + 1. assign V919614 = V412216 - 1. assign V355208 = V853095 - 1. assign V550661 = V050273. assign V545751 = V151834 - 1. assign V995742 = V271726. assign V758544 = V376253. assign V363894 = V919614 + 1. assign V777815 = V301502 - 1. assign V362520 = V841165 + 1. assign V832584 = V785814. assign V227775 = V142346 + 1. assign V417861 = V590571. assign V184417 = V995742 + 1. assign V368018 = V546182. assign V388408 = V582430 + 1. assign V676956 = V005354 + 1. assign V022022 = V318227 + 1. assign V971136 = V832584. assign V447294 = V521513 - 1. assign V806441 = V146536 + 1. assign V457745 = V257596. assign V330465 = V720049. assign V061631 = V050273 - 1. assign V688640 = V841165 + 1. assign V811759 = V582430 + 1. assign V389079 = V061631. assign V456258 = V206571 - 1. assign V287627 = V232919 + 1. assign V947057 = V500461 + 1. assign V118295 = V590571 + 1. assign V054162 = V862040. assign V473142 = V320016 + 1. assign V977694 = V841165. assign V827900 = V184417. assign V881712 = V227775 + 1. assign V114556 = V376253 + 1. assign V781578 = V553819 + 1. assign V989861 = V400515 - 1. assign V437100 = V521513 + 1. assign V510300 = V107413 - 1. assign V104812 = V672992 - 1. assign V583378 = V301502 + 1. assign V649300 = V526187 - 1. assign V825937 = V257596. assign V786678 = V232919 - 1. assign V498135 = V791474. assign V556491 = V832584 - 1. assign V286814 = V427031. assign V320016 = V142346 - 1. assign V232919 = V212299 + 1. assign V602169 = V965051. assign V195381 = V881615. assign V525465 = V250492 + 1. assign V197580 = V505906 + 1. assign V490879 = V621191 + 1. assign V703634 = V832584 + 1. assign V252733 = V708745 + 1. assign V455564 = V390978 - 1. assign V978587 = V037435 + 1. assign V611309 = V648274 + 1. assign V318227 = V058878 - 1. assign V912250 = V809730. assign V248041 = V061631 + 1. assign V682236 = V436982 - 1. assign V582430 = V664066 + 1. assign V908315 = V257596. assign V854848 = V505906 - 1. assign V393547 = V771356. assign V719175 = V058878 - 1. assign V915611 = V932283. assign V656065 = V301502. assign V601332 = V393852 + 1. assign V640240 = V919614. assign V749307 = V090313 + 1. assign V109667 = V039125 - 1. assign V412908 = V706946 + 1. assign V430209 = V209490. assign V099169 = V430209 - 1. assign V257596 = V988470 - 1. assign V663323 = V449700 - 1. assign V532543 = V428144 - 1. assign V512371 = V492937 - 1. assign V308875 = V818297 - 1. assign V407885 = V184654. assign V481735 = V665341 + 1. assign V932283 = V644389 + 1. assign V449700 = V768680 - 1. assign V017743 = V881760 - 1. assign V753235 = V396388 - 1. assign V040025 = V686658 - 1. assign V404412 = V500461 + 1. assign V446724 = V719175 - 1. assign V664066 = V050273 + 1. assign V598729 = V095800 - 1. assign V037435 = V688368 + 1. assign V611638 = V758544. assign V432375 = V363576. assign V390978 = V376253. assign V398622 = V017743 - 1. assign V948134 = V388408. assign V301502 = V058878 - 1. assign V763869 = V363653 - 1. assign V468724 = V473142 + 1. assign V509825 = V369661. assign V168386 = V050273. assign V629659 = V388408 - 1. assign V099629 = V151834 + 1. assign V151493 = V425703 - 1. assign V171724 = V142346. assign V871834 = V629659 - 1. assign V767869 = V142346 + 1. assign V639660 = V492937. assign V393852 = V767088. assign V553819 = V825937. assign V663619 = V212299. assign V090313 = V841165 + 1. assign V289877 = V419026 + 1. assign V631696 = V582430 - 1. assign V758070 = V473142 - 1. assign V841165 = V142346 - 1. assign V412216 = V500461. assign V513156 = V367151 + 1. assign V005354 = V735527 - 1. assign V665341 = V320016 - 1. assign V740791 = V538070 + 1. assign V640143 = V177234 - 1. assign V170344 = V688640 + 1. assign V419051 = V965403 + 1. assign V987143 = V209490. assign V830009 = V142346 - 1. assign V520869 = V160011 + 1. assign V397488 = V777815 + 1. assign V885704 = V191350. assign V433136 = V830009 - 1. assign V306226 = V168386 + 1. assign V411976 = V965051 + 1. assign V853095 = V320016 + 1. assign V864482 = V965051 - 1. assign V079612 = V854848. assign V206571 = V932283 - 1. assign V672992 = V376253 - 1. assign V209490 = V830009 - 1. assign V791474 = V550661. assign V566200 = V050273 + 1. assign V809730 = V232919 - 1. assign V398229 = V505906 - 1. assign V376253 = V932283 + 1. assign V392471 = V767088 + 1. assign V181164 = V957066 - 1. assign V400515 = V500461 + 1. assign V217013 = V621064 - 1. assign V767088 = V505906 + 1. assign V965051 = V862040. assign V651776 = V768680. assign V890373 = V947057. assign V142346 = V785814. assign V024830 = V425703 + 1. assign V995779 = V555284 - 1. assign V501935 = V151493. assign V425703 = V168386 - 1. assign V079607 = V066982 + 1. assign V070983 = V818297 + 1. assign V590571 = V224614 + 1. assign V154824 = V830009 + 1. assign V484378 = V070983. assign V088990 = V107413 - 1. assign V813843 = V730691 + 1. assign V956676 = V232929. assign V939890 = V648274 - 1. assign V115553 = V368018 + 1. assign V427031 = V398229 - 1. assign V939588 = V989861 - 1. assign V095800 = V495005. assign V419026 = V257596 + 1. assign V697319 = V973748 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV881760 = 0;\n\nFrom these direct assignment(s), we have: \nV017743 = V881760 - 1 = 0 - 1 =-1;\nV398622 = V017743 - 1 = -1 - 1 =-2;\nNo other varaibles can be derived from V398622;\nV198787 = V017743 = -1;\nNo other varaibles can be derived from V198787;\nV453807 = V017743 + 1 = -1 + 1 =0;\nV486615 = V453807 = 0;\nNo other varaibles can be derived from V486615;\nV165928 = V453807 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V165928;\nNo other varaibles can be derived from V453807;\nNo other varaibles can be derived from V017743;\nV039125 = V881760 + 1 = 0 + 1 =1;\nV109667 = V039125 - 1 = 1 - 1 =0;\nV597369 = V109667 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V597369;\nNo other varaibles can be derived from V109667;\nNo other varaibles can be derived from V039125;\nNo other varaibles can be derived from V881760;\n\nNow we have done all the calculations. Derived variables are:\nV881760 = 0;\nV017743 = -1;\nV398622 = -2;\nV198787 = -1;\nV453807 = 0;\nV486615 = 0;\nV165928 = 1;\nV039125 = 1;\nV109667 = 0;\nV597369 = -1;\n\nNow we have finished this problem. ANSWER:\nV881760, V453807, V486615, V109667\n", "role": "assistant" } ]

[ "V369646", "V915812", "V947415", "V641706", "V570138", "V259307", "V809823" ]

[ { "content": "<context>\nassign V678691 = V333251 - 1. assign V472332 = V110765 + 1. assign V539455 = V628224 + 1. assign V926924 = V437833 + 1. assign V230159 = V163567. assign V964396 = V568926 + 1. assign V187950 = V446223 + 1. assign V427749 = V741933. assign V792593 = V545647 + 1. assign V767324 = V090378 - 1. assign V593623 = V651031 + 1. assign V299685 = V210492 + 1. assign V517431 = V165697 + 1. assign V204122 = V196776 - 1. assign V935484 = V711179 + 1. assign V267157 = V915812 - 1. assign V673991 = V316443 - 1. assign V184116 = V098714 - 1. assign V336563 = V745918. assign V194231 = V651031 - 1. assign V297421 = V977776 + 1. assign V206444 = V991513 + 1. assign V368448 = V604222. assign V867160 = V564330. assign V350782 = V709357 + 1. assign V363832 = V648022 + 1. assign V407091 = V205306 - 1. assign V044134 = V187950. assign V628224 = V532337 - 1. assign V210492 = V732892 + 1. assign V570138 = V915812. assign V057129 = V529647. assign V450269 = V756036 - 1. assign V358864 = V589441 + 1. assign V809823 = V570138. assign V959570 = V316443 + 1. assign V096969 = V871220 + 1. assign V756479 = V525889 - 1. assign V868411 = V151392 - 1. assign V633262 = V545647 + 1. assign V660951 = V545493 - 1. assign V149740 = V196776 - 1. assign V196776 = V867160 + 1. assign V228240 = V770032 + 1. assign V532337 = V671945 - 1. assign V391532 = V260993. assign V709357 = V679300 - 1. assign V114371 = V899617 + 1. assign V474030 = V727402 + 1. assign V170770 = V427344 - 1. assign V864713 = V212960 - 1. assign V198318 = V732892 - 1. assign V721972 = V461020. assign V263209 = V096969. assign V888825 = V821817 - 1. assign V024895 = V193068 + 1. assign V836664 = V065248. assign V644522 = V397028 + 1. assign V204562 = V732892 - 1. assign V718598 = V047775. assign V762907 = V316443 - 1. assign V527193 = V764367. assign V590564 = V369646 - 1. assign V571186 = V722676 - 1. assign V986159 = V057604 - 1. assign V745100 = V224598 - 1. assign V099172 = V945474 - 1. assign V669476 = V521731 - 1. assign V837968 = V821817. assign V065248 = V110765 - 1. assign V788916 = V698441 - 1. assign V744254 = V336563 + 1. assign V418115 = V525889 - 1. assign V122426 = V503995 + 1. assign V853713 = V819419 - 1. assign V839127 = V604222. assign V770032 = V144910. assign V876770 = V989311 + 1. assign V251935 = V297421 - 1. assign V679300 = V397028 - 1. assign V151392 = V660951. assign V029118 = V313586 - 1. assign V595487 = V427749 + 1. assign V259307 = V570138. assign V311975 = V532337. assign V300436 = V137518 + 1. assign V459621 = V815532 + 1. assign V260993 = V547466. assign V928117 = V206444 - 1. assign V525889 = V545493 - 1. assign V331689 = V525889 - 1. assign V764367 = V707575 + 1. assign V732892 = V967289 + 1. assign V977776 = V151392. assign V418687 = V151392. assign V926978 = V711179 - 1. assign V376355 = V269528. assign V006670 = V377799. assign V351363 = V815532 + 1. assign V709912 = V397028 - 1. assign V899617 = V096969. assign V737289 = V047775 + 1. assign V844672 = V099172 + 1. assign V559909 = V525889 - 1. assign V713256 = V606777. assign V871220 = V316443 - 1. assign V064872 = V450269 - 1. assign V279746 = V867160 - 1. assign V291872 = V110765. assign V905293 = V309928 - 1. assign V333251 = V593623 + 1. assign V671945 = V741933 - 1. assign V613506 = V086209 - 1. assign V696439 = V096969 + 1. assign V989564 = V745918. assign V472355 = V347041. assign V736432 = V539455. assign V992650 = V540415 + 1. assign V547466 = V679300. assign V606777 = V989311 + 1. assign V144084 = V815532. assign V656586 = V589441 - 1. assign V086209 = V604222 + 1. assign V383621 = V096969 - 1. assign V265110 = V745918 + 1. assign V089988 = V376488 - 1. assign V163567 = V300436 + 1. assign V869637 = V825711. assign V355098 = V472355 + 1. assign V521731 = V967289. assign V331844 = V151392 + 1. assign V449151 = V671945. assign V651031 = V105144. assign V325709 = V498227 + 1. assign V595356 = V418115. assign V604222 = V871220 + 1. assign V285805 = V593623. assign V415447 = V292252. assign V545493 = V741933. assign V585994 = V979471. assign V187680 = V212960 + 1. assign V446223 = V671945 - 1. assign V698553 = V197238 - 1. assign V508606 = V397028 + 1. assign V257208 = V444559. assign V898688 = V842908 + 1. assign V400083 = V869637 - 1. assign V814265 = V821021 + 1. assign V974605 = V967289. assign V397028 = V110765 + 1. assign V101227 = V163567. assign V142968 = V604222 + 1. assign V214167 = V263209. assign V236622 = V297421 - 1. assign V130733 = V944187 - 1. assign V920343 = V137607 + 1. assign V183584 = V101040 - 1. assign V756036 = V105144. assign V452181 = V920343 + 1. assign V178797 = V741933 - 1. assign V503995 = V472355 - 1. assign V357327 = V525889. assign V727402 = V532337. assign V815532 = V756036 - 1. assign V892680 = V696439 + 1. assign V164208 = V589441. assign V126226 = V945474. assign V180846 = V892680. assign V081985 = V158615 - 1. assign V246231 = V545493 + 1. assign V098643 = V644522 + 1. assign V551520 = V671945. assign V782589 = V926978. assign V347041 = V101040 + 1. assign V498227 = V347041. assign V230095 = V744008 - 1. assign V313621 = V871220 - 1. assign V991545 = V523207. assign V915812 = V369646. assign V173869 = V864713 + 1. assign V842908 = V065248 - 1. assign V540415 = V313621 - 1. assign V938087 = V642205 + 1. assign V630431 = V196776 + 1. assign V388068 = V105144 - 1. assign V945474 = V792593. assign V969556 = V377799 + 1. assign V677188 = V110765 - 1. assign V817739 = V194231 + 1. assign V205306 = V721972. assign V222258 = V047918. assign V249950 = V412401 - 1. assign V470665 = V249950. assign V958765 = V732892 - 1. assign V377799 = V144910 + 1. assign V367529 = V508492 + 1. assign V369646 = 6. assign V439651 = V660951. assign V523207 = V044134 + 1. assign V492626 = V187530. assign V189657 = V260993. assign V047775 = V745918. assign V093530 = V082502 - 1. assign V947997 = V316443. assign V057350 = V347041. assign V819419 = V096969. assign V323340 = V989564. assign V698441 = V057604. assign V212960 = V867160 - 1. assign V641706 = V915812. assign V096672 = V967289. assign V292252 = V525889. assign V247372 = V144910. assign V722676 = V525889. assign V830512 = V316443. assign V934794 = V096969 + 1. assign V962267 = V517431 + 1. assign V114997 = V825711. assign V302287 = V821021. assign V764596 = V707575 - 1. assign V456875 = V837968 - 1. assign V688783 = V817739 + 1. assign V279122 = V776409 + 1. assign V991513 = V269528. assign V224598 = V825711. assign V398875 = V149740 - 1. assign V026172 = V920343. assign V946860 = V044134 + 1. assign V997522 = V651031. assign V962196 = V026172. assign V441936 = V564330 - 1. assign V116697 = V568926. assign V776409 = V673991 + 1. assign V517977 = V648022 + 1. assign V357378 = V309928 - 1. assign V545647 = V871220. assign V310311 = V896034 + 1. assign V561010 = V797047 - 1. assign V508492 = V736432 + 1. assign V855330 = V792593. assign V542532 = V446223 + 1. assign V082502 = V047775 + 1. assign V589074 = V170770 - 1. assign V236554 = V374511. assign V589441 = V756036 - 1. assign V968497 = V479252 - 1. assign V642205 = V679300. assign V839619 = V772192. assign V517508 = V228240 - 1. assign V313586 = V137518 + 1. assign V412401 = V072430 - 1. assign V197238 = V977776 + 1. assign V650632 = V671945 + 1. assign V097014 = V648022 - 1. assign V206451 = V623677. assign V427344 = V958765 + 1. assign V896034 = V593623 - 1. assign V193068 = V660951. assign V821817 = V967289 + 1. assign V101040 = V397028 + 1. assign V541910 = V821817. assign V648022 = V709357 - 1. assign V316716 = V369646 + 1. assign V474555 = V551520 - 1. assign V797047 = V947997 - 1. assign V690055 = V407091 + 1. assign V964465 = V744008. assign V374511 = V391532 - 1. assign V414478 = V947997 - 1. assign V741933 = V096969 - 1. assign V623677 = V096969 + 1. assign V711179 = V110765 + 1. assign V744008 = V764596 + 1. assign V069178 = V001739. assign V320998 = V089988 + 1. assign V057604 = V096969 - 1. assign V014773 = V300436 - 1. assign V772192 = V545647. assign V165697 = V732892. assign V043699 = V525889. assign V137607 = V178797 + 1. assign V380649 = V741933 - 1. assign V919978 = V347041 - 1. assign V372410 = V756036 - 1. assign V075025 = V383621 - 1. assign V187530 = V817739 - 1. assign V277933 = V110765. assign V653175 = V721972 + 1. assign V901519 = V247372. assign V947415 = V915812. assign V602247 = V508606. assign V564330 = V105144 + 1. assign V440288 = V459621 - 1. assign V072430 = V545493 + 1. assign V047918 = V741933 - 1. assign V769399 = V542532 - 1. assign V944187 = V110765 - 1. assign V821021 = V144910 + 1. assign V967289 = V671945 + 1. assign V361276 = V814265. assign V989311 = V825711 + 1. assign V137518 = V263209 + 1. assign V745918 = V869637 - 1. assign V716430 = V000237 - 1. assign V176223 = V210492. assign V634664 = V144910. assign V105144 = V871220. assign V609152 = V745918 + 1. assign V022696 = V613506 - 1. assign V269476 = V745918. assign V444559 = V709357 - 1. assign V135195 = V151392 - 1. assign V090378 = V871220 + 1. assign V376488 = V333251. assign V950738 = V868411 + 1. assign V707575 = V564330. assign V861555 = V310311 + 1. assign V948374 = V642205 + 1. assign V138021 = V197238 + 1. assign V323803 = V606777. assign V479252 = V989564. assign V000237 = V291872 - 1. assign V244704 = V517431. assign V825711 = V316443 + 1. assign V205738 = V821021 - 1. assign V265338 = V376355. assign V461020 = V316443 + 1. assign V144910 = V532337 - 1. assign V001739 = V269528 + 1. assign V490785 = V372410 + 1. assign V491847 = V623677 + 1. assign V158615 = V876770 - 1. assign V569011 = V532337. assign V098714 = V144910 + 1. assign V568926 = V414478 + 1. assign V734288 = V745100 - 1. assign V957214 = V427749 + 1. assign V643623 = V097014 - 1. assign V309928 = V449151 + 1. assign V529647 = V351363. assign V437833 = V206451 - 1. assign V333940 = V105144 + 1. assign V944134 = V677188 - 1. assign V831765 = V116697. assign V598883 = V193068 - 1. assign V179000 = V065248 - 1. assign V979471 = V958765 - 1. assign V269528 = V316443. assign V110765 = V947997. assign V739945 = V770032. assign V793955 = V876770.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V678691 = V333251 - 1. assign V472332 = V110765 + 1. assign V539455 = V628224 + 1. assign V926924 = V437833 + 1. assign V230159 = V163567. assign V964396 = V568926 + 1. assign V187950 = V446223 + 1. assign V427749 = V741933. assign V792593 = V545647 + 1. assign V767324 = V090378 - 1. assign V593623 = V651031 + 1. assign V299685 = V210492 + 1. assign V517431 = V165697 + 1. assign V204122 = V196776 - 1. assign V935484 = V711179 + 1. assign V267157 = V915812 - 1. assign V673991 = V316443 - 1. assign V184116 = V098714 - 1. assign V336563 = V745918. assign V194231 = V651031 - 1. assign V297421 = V977776 + 1. assign V206444 = V991513 + 1. assign V368448 = V604222. assign V867160 = V564330. assign V350782 = V709357 + 1. assign V363832 = V648022 + 1. assign V407091 = V205306 - 1. assign V044134 = V187950. assign V628224 = V532337 - 1. assign V210492 = V732892 + 1. assign V570138 = V915812. assign V057129 = V529647. assign V450269 = V756036 - 1. assign V358864 = V589441 + 1. assign V809823 = V570138. assign V959570 = V316443 + 1. assign V096969 = V871220 + 1. assign V756479 = V525889 - 1. assign V868411 = V151392 - 1. assign V633262 = V545647 + 1. assign V660951 = V545493 - 1. assign V149740 = V196776 - 1. assign V196776 = V867160 + 1. assign V228240 = V770032 + 1. assign V532337 = V671945 - 1. assign V391532 = V260993. assign V709357 = V679300 - 1. assign V114371 = V899617 + 1. assign V474030 = V727402 + 1. assign V170770 = V427344 - 1. assign V864713 = V212960 - 1. assign V198318 = V732892 - 1. assign V721972 = V461020. assign V263209 = V096969. assign V888825 = V821817 - 1. assign V024895 = V193068 + 1. assign V836664 = V065248. assign V644522 = V397028 + 1. assign V204562 = V732892 - 1. assign V718598 = V047775. assign V762907 = V316443 - 1. assign V527193 = V764367. assign V590564 = V369646 - 1. assign V571186 = V722676 - 1. assign V986159 = V057604 - 1. assign V745100 = V224598 - 1. assign V099172 = V945474 - 1. assign V669476 = V521731 - 1. assign V837968 = V821817. assign V065248 = V110765 - 1. assign V788916 = V698441 - 1. assign V744254 = V336563 + 1. assign V418115 = V525889 - 1. assign V122426 = V503995 + 1. assign V853713 = V819419 - 1. assign V839127 = V604222. assign V770032 = V144910. assign V876770 = V989311 + 1. assign V251935 = V297421 - 1. assign V679300 = V397028 - 1. assign V151392 = V660951. assign V029118 = V313586 - 1. assign V595487 = V427749 + 1. assign V259307 = V570138. assign V311975 = V532337. assign V300436 = V137518 + 1. assign V459621 = V815532 + 1. assign V260993 = V547466. assign V928117 = V206444 - 1. assign V525889 = V545493 - 1. assign V331689 = V525889 - 1. assign V764367 = V707575 + 1. assign V732892 = V967289 + 1. assign V977776 = V151392. assign V418687 = V151392. assign V926978 = V711179 - 1. assign V376355 = V269528. assign V006670 = V377799. assign V351363 = V815532 + 1. assign V709912 = V397028 - 1. assign V899617 = V096969. assign V737289 = V047775 + 1. assign V844672 = V099172 + 1. assign V559909 = V525889 - 1. assign V713256 = V606777. assign V871220 = V316443 - 1. assign V064872 = V450269 - 1. assign V279746 = V867160 - 1. assign V291872 = V110765. assign V905293 = V309928 - 1. assign V333251 = V593623 + 1. assign V671945 = V741933 - 1. assign V613506 = V086209 - 1. assign V696439 = V096969 + 1. assign V989564 = V745918. assign V472355 = V347041. assign V736432 = V539455. assign V992650 = V540415 + 1. assign V547466 = V679300. assign V606777 = V989311 + 1. assign V144084 = V815532. assign V656586 = V589441 - 1. assign V086209 = V604222 + 1. assign V383621 = V096969 - 1. assign V265110 = V745918 + 1. assign V089988 = V376488 - 1. assign V163567 = V300436 + 1. assign V869637 = V825711. assign V355098 = V472355 + 1. assign V521731 = V967289. assign V331844 = V151392 + 1. assign V449151 = V671945. assign V651031 = V105144. assign V325709 = V498227 + 1. assign V595356 = V418115. assign V604222 = V871220 + 1. assign V285805 = V593623. assign V415447 = V292252. assign V545493 = V741933. assign V585994 = V979471. assign V187680 = V212960 + 1. assign V446223 = V671945 - 1. assign V698553 = V197238 - 1. assign V508606 = V397028 + 1. assign V257208 = V444559. assign V898688 = V842908 + 1. assign V400083 = V869637 - 1. assign V814265 = V821021 + 1. assign V974605 = V967289. assign V397028 = V110765 + 1. assign V101227 = V163567. assign V142968 = V604222 + 1. assign V214167 = V263209. assign V236622 = V297421 - 1. assign V130733 = V944187 - 1. assign V920343 = V137607 + 1. assign V183584 = V101040 - 1. assign V756036 = V105144. assign V452181 = V920343 + 1. assign V178797 = V741933 - 1. assign V503995 = V472355 - 1. assign V357327 = V525889. assign V727402 = V532337. assign V815532 = V756036 - 1. assign V892680 = V696439 + 1. assign V164208 = V589441. assign V126226 = V945474. assign V180846 = V892680. assign V081985 = V158615 - 1. assign V246231 = V545493 + 1. assign V098643 = V644522 + 1. assign V551520 = V671945. assign V782589 = V926978. assign V347041 = V101040 + 1. assign V498227 = V347041. assign V230095 = V744008 - 1. assign V313621 = V871220 - 1. assign V991545 = V523207. assign V915812 = V369646. assign V173869 = V864713 + 1. assign V842908 = V065248 - 1. assign V540415 = V313621 - 1. assign V938087 = V642205 + 1. assign V630431 = V196776 + 1. assign V388068 = V105144 - 1. assign V945474 = V792593. assign V969556 = V377799 + 1. assign V677188 = V110765 - 1. assign V817739 = V194231 + 1. assign V205306 = V721972. assign V222258 = V047918. assign V249950 = V412401 - 1. assign V470665 = V249950. assign V958765 = V732892 - 1. assign V377799 = V144910 + 1. assign V367529 = V508492 + 1. assign V369646 = 6. assign V439651 = V660951. assign V523207 = V044134 + 1. assign V492626 = V187530. assign V189657 = V260993. assign V047775 = V745918. assign V093530 = V082502 - 1. assign V947997 = V316443. assign V057350 = V347041. assign V819419 = V096969. assign V323340 = V989564. assign V698441 = V057604. assign V212960 = V867160 - 1. assign V641706 = V915812. assign V096672 = V967289. assign V292252 = V525889. assign V247372 = V144910. assign V722676 = V525889. assign V830512 = V316443. assign V934794 = V096969 + 1. assign V962267 = V517431 + 1. assign V114997 = V825711. assign V302287 = V821021. assign V764596 = V707575 - 1. assign V456875 = V837968 - 1. assign V688783 = V817739 + 1. assign V279122 = V776409 + 1. assign V991513 = V269528. assign V224598 = V825711. assign V398875 = V149740 - 1. assign V026172 = V920343. assign V946860 = V044134 + 1. assign V997522 = V651031. assign V962196 = V026172. assign V441936 = V564330 - 1. assign V116697 = V568926. assign V776409 = V673991 + 1. assign V517977 = V648022 + 1. assign V357378 = V309928 - 1. assign V545647 = V871220. assign V310311 = V896034 + 1. assign V561010 = V797047 - 1. assign V508492 = V736432 + 1. assign V855330 = V792593. assign V542532 = V446223 + 1. assign V082502 = V047775 + 1. assign V589074 = V170770 - 1. assign V236554 = V374511. assign V589441 = V756036 - 1. assign V968497 = V479252 - 1. assign V642205 = V679300. assign V839619 = V772192. assign V517508 = V228240 - 1. assign V313586 = V137518 + 1. assign V412401 = V072430 - 1. assign V197238 = V977776 + 1. assign V650632 = V671945 + 1. assign V097014 = V648022 - 1. assign V206451 = V623677. assign V427344 = V958765 + 1. assign V896034 = V593623 - 1. assign V193068 = V660951. assign V821817 = V967289 + 1. assign V101040 = V397028 + 1. assign V541910 = V821817. assign V648022 = V709357 - 1. assign V316716 = V369646 + 1. assign V474555 = V551520 - 1. assign V797047 = V947997 - 1. assign V690055 = V407091 + 1. assign V964465 = V744008. assign V374511 = V391532 - 1. assign V414478 = V947997 - 1. assign V741933 = V096969 - 1. assign V623677 = V096969 + 1. assign V711179 = V110765 + 1. assign V744008 = V764596 + 1. assign V069178 = V001739. assign V320998 = V089988 + 1. assign V057604 = V096969 - 1. assign V014773 = V300436 - 1. assign V772192 = V545647. assign V165697 = V732892. assign V043699 = V525889. assign V137607 = V178797 + 1. assign V380649 = V741933 - 1. assign V919978 = V347041 - 1. assign V372410 = V756036 - 1. assign V075025 = V383621 - 1. assign V187530 = V817739 - 1. assign V277933 = V110765. assign V653175 = V721972 + 1. assign V901519 = V247372. assign V947415 = V915812. assign V602247 = V508606. assign V564330 = V105144 + 1. assign V440288 = V459621 - 1. assign V072430 = V545493 + 1. assign V047918 = V741933 - 1. assign V769399 = V542532 - 1. assign V944187 = V110765 - 1. assign V821021 = V144910 + 1. assign V967289 = V671945 + 1. assign V361276 = V814265. assign V989311 = V825711 + 1. assign V137518 = V263209 + 1. assign V745918 = V869637 - 1. assign V716430 = V000237 - 1. assign V176223 = V210492. assign V634664 = V144910. assign V105144 = V871220. assign V609152 = V745918 + 1. assign V022696 = V613506 - 1. assign V269476 = V745918. assign V444559 = V709357 - 1. assign V135195 = V151392 - 1. assign V090378 = V871220 + 1. assign V376488 = V333251. assign V950738 = V868411 + 1. assign V707575 = V564330. assign V861555 = V310311 + 1. assign V948374 = V642205 + 1. assign V138021 = V197238 + 1. assign V323803 = V606777. assign V479252 = V989564. assign V000237 = V291872 - 1. assign V244704 = V517431. assign V825711 = V316443 + 1. assign V205738 = V821021 - 1. assign V265338 = V376355. assign V461020 = V316443 + 1. assign V144910 = V532337 - 1. assign V001739 = V269528 + 1. assign V490785 = V372410 + 1. assign V491847 = V623677 + 1. assign V158615 = V876770 - 1. assign V569011 = V532337. assign V098714 = V144910 + 1. assign V568926 = V414478 + 1. assign V734288 = V745100 - 1. assign V957214 = V427749 + 1. assign V643623 = V097014 - 1. assign V309928 = V449151 + 1. assign V529647 = V351363. assign V437833 = V206451 - 1. assign V333940 = V105144 + 1. assign V944134 = V677188 - 1. assign V831765 = V116697. assign V598883 = V193068 - 1. assign V179000 = V065248 - 1. assign V979471 = V958765 - 1. assign V269528 = V316443. assign V110765 = V947997. assign V739945 = V770032. assign V793955 = V876770.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV369646 = 6;\n\nFrom these direct assignment(s), we have: \nV316716 = V369646 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V316716;\nV915812 = V369646 = 6;\nV947415 = V915812 = 6;\nNo other varaibles can be derived from V947415;\nV641706 = V915812 = 6;\nNo other varaibles can be derived from V641706;\nV570138 = V915812 = 6;\nV259307 = V570138 = 6;\nNo other varaibles can be derived from V259307;\nV809823 = V570138 = 6;\nNo other varaibles can be derived from V809823;\nNo other varaibles can be derived from V570138;\nV267157 = V915812 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V267157;\nNo other varaibles can be derived from V915812;\nV590564 = V369646 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V590564;\nNo other varaibles can be derived from V369646;\n\nNow we have done all the calculations. Derived variables are:\nV369646 = 6;\nV316716 = 7;\nV915812 = 6;\nV947415 = 6;\nV641706 = 6;\nV570138 = 6;\nV259307 = 6;\nV809823 = 6;\nV267157 = 5;\nV590564 = 5;\n\nNow we have finished this problem. ANSWER:\nV369646, V915812, V947415, V641706, V570138, V259307, V809823\n", "role": "assistant" } ]

[ "V345616", "V341054", "V885602", "V742356" ]

[ { "content": "<context>\nassign V998824 = V687581. assign V740830 = V632596 + 1. assign V742356 = V341054. assign V577910 = V832654 - 1. assign V423868 = V960380. assign V286681 = V495419 - 1. assign V466762 = V567927 + 1. assign V827765 = V710238 + 1. assign V848923 = V163195. assign V671854 = V556342 - 1. assign V966612 = V049989. assign V924208 = V647932 + 1. assign V268893 = V992944. assign V423501 = V094565. assign V701380 = V169231 + 1. assign V269901 = V600324 + 1. assign V833353 = V224872 + 1. assign V751297 = V787021 + 1. assign V439483 = V609135 - 1. assign V960380 = V311892 + 1. assign V639290 = V423501 - 1. assign V713920 = V184756. assign V689871 = V962835 - 1. assign V693322 = V590016 - 1. assign V654699 = V025180 + 1. assign V344199 = V639290 - 1. assign V222011 = V816401 - 1. assign V932381 = V918788 + 1. assign V236307 = V780702 + 1. assign V236722 = V781513. assign V042220 = V353663 + 1. assign V458442 = V209483. assign V562898 = V569998 - 1. assign V187844 = V802164 - 1. assign V657905 = V591440 + 1. assign V529022 = V090870 - 1. assign V985713 = V112283. assign V311914 = V106912 + 1. assign V556342 = V187844 + 1. assign V126246 = V180942 - 1. assign V187972 = V654699 - 1. assign V753141 = V289275. assign V309758 = V532250. assign V628102 = V960380. assign V838857 = V269901. assign V283397 = V024951 + 1. assign V550159 = V334594. assign V266892 = V093666. assign V826824 = V902550. assign V820209 = V780120 - 1. assign V793936 = V224872 - 1. assign V711011 = V633335 - 1. assign V076992 = V805264. assign V005517 = V353663 + 1. assign V976330 = V592050 - 1. assign V860615 = V153956 + 1. assign V587359 = V591440 - 1. assign V892585 = V256706 - 1. assign V174941 = V627266 - 1. assign V256706 = V956884. assign V198975 = V079409. assign V980374 = V033689 - 1. assign V943997 = V941505 + 1. assign V761830 = V078346 + 1. assign V490613 = V742356 + 1. assign V663431 = V748246. assign V863814 = V024951 - 1. assign V633335 = V943997. assign V515285 = V943997. assign V064513 = V224872 - 1. assign V461013 = V224872 + 1. assign V904238 = V158330. assign V559543 = V604601. assign V377019 = V717006. assign V108490 = V832654. assign V330848 = V449573. assign V839130 = V209483. assign V200696 = V671854 + 1. assign V420937 = V556342. assign V513118 = V123957. assign V654859 = V224872 + 1. assign V561943 = V992944 - 1. assign V702745 = V633335. assign V178896 = V689871 + 1. assign V767509 = V425207 + 1. assign V748246 = V662457 - 1. assign V347929 = V008887. assign V416851 = V294073. assign V532250 = V220678 + 1. assign V172024 = V334594 + 1. assign V592050 = V176360 + 1. assign V803911 = V286086. assign V062194 = V559364. assign V816974 = V268893 + 1. assign V775727 = V070330 + 1. assign V320277 = V918788. assign V289275 = V953937 + 1. assign V341723 = V508783 + 1. assign V126079 = V775727 + 1. assign V402754 = V149627. assign V131278 = V311892. assign V953937 = V569998 + 1. assign V008887 = V561943 + 1. assign V941505 = V508783 + 1. assign V495419 = V479439 - 1. assign V037504 = V904962 + 1. assign V528166 = V439483 - 1. assign V360468 = V094565. assign V047439 = V345616 - 1. assign V981802 = V824026 + 1. assign V802164 = V577910 - 1. assign V551399 = V788672. assign V431736 = V562898 + 1. assign V163684 = V119053. assign V981776 = V037504. assign V184786 = V152124. assign V155033 = V064513. assign V623063 = V591440 - 1. assign V203976 = V832081. assign V437115 = V345616 - 1. assign V209574 = V544231. assign V524571 = V824026. assign V494983 = V358765. assign V944569 = V633335 - 1. assign V387017 = V078346. assign V701802 = V544194 - 1. assign V617557 = V717006 + 1. assign V428924 = V224872 - 1. assign V251082 = V992944 - 1. assign V903248 = V294073. assign V604101 = V195303. assign V924283 = V789041. assign V065596 = V287559. assign V497210 = V382505. assign V297818 = V789041 - 1. assign V793941 = V042220 - 1. assign V904962 = V294073. assign V039333 = V602183 - 1. assign V195303 = V479133. assign V547819 = V761830 + 1. assign V956884 = V781513 - 1. assign V967430 = V168951 - 1. assign V378256 = V787021. assign V024951 = V761830 + 1. assign V049989 = V209483. assign V090870 = V225362. assign V764825 = V713087 - 1. assign V282940 = V572507 - 1. assign V565528 = V781513. assign V149680 = V187844 + 1. assign V112283 = V932381. assign V253113 = V780120 + 1. assign V149079 = V556342 - 1. assign V632596 = V802164 + 1. assign V106912 = V311892. assign V425207 = V992944. assign V353663 = V251082. assign V831147 = V209483 + 1. assign V816401 = V647932 + 1. assign V972547 = V740830 - 1. assign V309712 = V094565 + 1. assign V433079 = V551399 + 1. assign V287559 = V502634. assign V757905 = V932381 + 1. assign V341054 = V633216 + 1. assign V458821 = V627266. assign V680594 = V545707. assign V382505 = V464608 - 1. assign V292023 = V005517 - 1. assign V352095 = V244199 - 1. assign V600324 = V602183. assign V457950 = V220678 - 1. assign V559885 = V627266 + 1. assign V902550 = V158330 - 1. assign V909411 = V144973. assign V149627 = V967430 - 1. assign V824026 = V253113 + 1. assign V415144 = V914609. assign V837841 = V065671. assign V367872 = V699803. assign V590016 = V311892 - 1. assign V078346 = V106912 - 1. assign V114400 = V545707 + 1. assign V914609 = V699803 + 1. assign V952643 = V832654 + 1. assign V244199 = V943997. assign V426036 = V169231 - 1. assign V336613 = V184756 + 1. assign V315274 = V425207 - 1. assign V569787 = V985713. assign V149229 = V556342 - 1. assign V209447 = V378256. assign V209483 = V187844 + 1. assign V662457 = V710238 - 1. assign V787021 = V108490 - 1. assign V962835 = V632596 + 1. assign V992944 = V094565 + 1. assign V545707 = V604601. assign V125684 = V458821 + 1. assign V272814 = V699809. assign V559364 = V577910 - 1. assign V981029 = V927222. assign V468680 = V604101. assign V286086 = V851979 - 1. assign V326341 = V347778 - 1. assign V217995 = V481213 + 1. assign V790310 = V311914 - 1. assign V152124 = V699803 - 1. assign V502634 = V577910. assign V962198 = V924208. assign V710238 = V952643 + 1. assign V155824 = V251082. assign V176360 = V967430 + 1. assign V641363 = V131278. assign V572507 = V063474. assign V180942 = V962835. assign V144973 = V049989 - 1. assign V893630 = V387017. assign V973123 = V297818 + 1. assign V464608 = V278388. assign V864067 = V338049. assign V781513 = V268893 + 1. assign V196140 = V657905. assign V475171 = V345616 - 1. assign V065671 = V285267 - 1. assign V569998 = V756753 - 1. assign V224872 = V152124 - 1. assign V734374 = V952643. assign V300959 = V802164. assign V780026 = V158330 + 1. assign V780702 = V702745. assign V518700 = V114400. assign V604601 = V311892 - 1. assign V393676 = V078346. assign V163195 = V567927 - 1. assign V334594 = V025180. assign V070330 = V042220. assign V301343 = V515285. assign V149168 = V956884 + 1. assign V505475 = V863814. assign V642651 = V094565 - 1. assign V063474 = V149627 + 1. assign V602183 = V294073. assign V699803 = V294073 + 1. assign V544231 = V544194 + 1. assign V449573 = V224872 + 1. assign V289053 = V439483 + 1. assign V391362 = V924283 + 1. assign V543561 = V209483 + 1. assign V278388 = V604601. assign V472940 = V220678. assign V046201 = V036765. assign V036765 = V358765. assign V345616 = V633216 + 1. assign V633216 = 0. assign V471312 = V856949. assign V033689 = V287559 + 1. assign V609135 = V315274. assign V119053 = V311892 + 1. assign V668985 = V924283. assign V895438 = V642651 + 1. assign V780120 = V508783 + 1. assign V638895 = V251082 - 1. assign V470569 = V428924. assign V787703 = V338049. assign V879446 = V710238. assign V585517 = V924208 + 1. assign V158330 = V294073 - 1. assign V169231 = V816974. assign V918788 = V425207 + 1. assign V220678 = V094565. assign V788672 = V256706. assign V159713 = V063251. assign V479133 = V416851. assign V279639 = V078346. assign V481213 = V268893 + 1. assign V130922 = V780026. assign V589895 = V416851 - 1. assign V854191 = V025180. assign V395399 = V287559 + 1. assign V800569 = V168951 - 1. assign V168951 = V992944. assign V504880 = V464608. assign V723941 = V654699. assign V466786 = V627266 + 1. assign V717006 = V532250 - 1. assign V561129 = V956884 - 1. assign V338049 = V532250. assign V927222 = V278388 + 1. assign V647932 = V174941. assign V025180 = V094565 - 1. assign V153956 = V822350 + 1. assign V311892 = V094565 - 1. assign V332276 = V654859. assign V805264 = V831147. assign V358765 = V826824. assign V279064 = V775727 + 1. assign V568019 = V149680 - 1. assign V501032 = V767509 + 1. assign V713087 = V924283 - 1. assign V992470 = V300959 + 1. assign V851979 = V642651 + 1. assign V627266 = V108490 - 1. assign V347778 = V952643. assign V160700 = V353663 + 1. assign V181860 = V220678 - 1. assign V591440 = V158330 + 1. assign V110794 = V600324 + 1. assign V094565 = V832654 + 1. assign V508783 = V294073 - 1. assign V789041 = V094565 + 1. assign V822350 = V914609 + 1. assign V691670 = V633216 - 1. assign V544194 = V604601 - 1. assign V541828 = V577910. assign V545399 = V838857 + 1. assign V388102 = V654699 - 1. assign V010259 = V108490 + 1. assign V184756 = V839130. assign V616287 = V967430 - 1. assign V987104 = V775727 - 1. assign V225362 = V114400 + 1. assign V557753 = V466786 - 1. assign V294073 = V311892 - 1. assign V079409 = V106912. assign V567927 = V822350 - 1. assign V424643 = V932381. assign V832081 = V941505 - 1. assign V495187 = V360468. assign V440453 = V420937 + 1. assign V123957 = V544194 - 1. assign V856949 = V717006. assign V687581 = V985713 - 1. assign V477562 = V423868 - 1. assign V285267 = V591440 - 1. assign V063251 = V272814 - 1. assign V421385 = V269901. assign V407087 = V251082. assign V683911 = V466762. assign V966584 = V541828 - 1. assign V075736 = V577910. assign V756753 = V311892 - 1. assign V995415 = V458442. assign V885602 = V341054. assign V699809 = V253113 - 1. assign V547621 = V893630 - 1. assign V362140 = V253113 - 1. assign V954791 = V550159 + 1. assign V093666 = V941505 + 1. assign V790130 = V338049. assign V479439 = V918788 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V998824 = V687581. assign V740830 = V632596 + 1. assign V742356 = V341054. assign V577910 = V832654 - 1. assign V423868 = V960380. assign V286681 = V495419 - 1. assign V466762 = V567927 + 1. assign V827765 = V710238 + 1. assign V848923 = V163195. assign V671854 = V556342 - 1. assign V966612 = V049989. assign V924208 = V647932 + 1. assign V268893 = V992944. assign V423501 = V094565. assign V701380 = V169231 + 1. assign V269901 = V600324 + 1. assign V833353 = V224872 + 1. assign V751297 = V787021 + 1. assign V439483 = V609135 - 1. assign V960380 = V311892 + 1. assign V639290 = V423501 - 1. assign V713920 = V184756. assign V689871 = V962835 - 1. assign V693322 = V590016 - 1. assign V654699 = V025180 + 1. assign V344199 = V639290 - 1. assign V222011 = V816401 - 1. assign V932381 = V918788 + 1. assign V236307 = V780702 + 1. assign V236722 = V781513. assign V042220 = V353663 + 1. assign V458442 = V209483. assign V562898 = V569998 - 1. assign V187844 = V802164 - 1. assign V657905 = V591440 + 1. assign V529022 = V090870 - 1. assign V985713 = V112283. assign V311914 = V106912 + 1. assign V556342 = V187844 + 1. assign V126246 = V180942 - 1. assign V187972 = V654699 - 1. assign V753141 = V289275. assign V309758 = V532250. assign V628102 = V960380. assign V838857 = V269901. assign V283397 = V024951 + 1. assign V550159 = V334594. assign V266892 = V093666. assign V826824 = V902550. assign V820209 = V780120 - 1. assign V793936 = V224872 - 1. assign V711011 = V633335 - 1. assign V076992 = V805264. assign V005517 = V353663 + 1. assign V976330 = V592050 - 1. assign V860615 = V153956 + 1. assign V587359 = V591440 - 1. assign V892585 = V256706 - 1. assign V174941 = V627266 - 1. assign V256706 = V956884. assign V198975 = V079409. assign V980374 = V033689 - 1. assign V943997 = V941505 + 1. assign V761830 = V078346 + 1. assign V490613 = V742356 + 1. assign V663431 = V748246. assign V863814 = V024951 - 1. assign V633335 = V943997. assign V515285 = V943997. assign V064513 = V224872 - 1. assign V461013 = V224872 + 1. assign V904238 = V158330. assign V559543 = V604601. assign V377019 = V717006. assign V108490 = V832654. assign V330848 = V449573. assign V839130 = V209483. assign V200696 = V671854 + 1. assign V420937 = V556342. assign V513118 = V123957. assign V654859 = V224872 + 1. assign V561943 = V992944 - 1. assign V702745 = V633335. assign V178896 = V689871 + 1. assign V767509 = V425207 + 1. assign V748246 = V662457 - 1. assign V347929 = V008887. assign V416851 = V294073. assign V532250 = V220678 + 1. assign V172024 = V334594 + 1. assign V592050 = V176360 + 1. assign V803911 = V286086. assign V062194 = V559364. assign V816974 = V268893 + 1. assign V775727 = V070330 + 1. assign V320277 = V918788. assign V289275 = V953937 + 1. assign V341723 = V508783 + 1. assign V126079 = V775727 + 1. assign V402754 = V149627. assign V131278 = V311892. assign V953937 = V569998 + 1. assign V008887 = V561943 + 1. assign V941505 = V508783 + 1. assign V495419 = V479439 - 1. assign V037504 = V904962 + 1. assign V528166 = V439483 - 1. assign V360468 = V094565. assign V047439 = V345616 - 1. assign V981802 = V824026 + 1. assign V802164 = V577910 - 1. assign V551399 = V788672. assign V431736 = V562898 + 1. assign V163684 = V119053. assign V981776 = V037504. assign V184786 = V152124. assign V155033 = V064513. assign V623063 = V591440 - 1. assign V203976 = V832081. assign V437115 = V345616 - 1. assign V209574 = V544231. assign V524571 = V824026. assign V494983 = V358765. assign V944569 = V633335 - 1. assign V387017 = V078346. assign V701802 = V544194 - 1. assign V617557 = V717006 + 1. assign V428924 = V224872 - 1. assign V251082 = V992944 - 1. assign V903248 = V294073. assign V604101 = V195303. assign V924283 = V789041. assign V065596 = V287559. assign V497210 = V382505. assign V297818 = V789041 - 1. assign V793941 = V042220 - 1. assign V904962 = V294073. assign V039333 = V602183 - 1. assign V195303 = V479133. assign V547819 = V761830 + 1. assign V956884 = V781513 - 1. assign V967430 = V168951 - 1. assign V378256 = V787021. assign V024951 = V761830 + 1. assign V049989 = V209483. assign V090870 = V225362. assign V764825 = V713087 - 1. assign V282940 = V572507 - 1. assign V565528 = V781513. assign V149680 = V187844 + 1. assign V112283 = V932381. assign V253113 = V780120 + 1. assign V149079 = V556342 - 1. assign V632596 = V802164 + 1. assign V106912 = V311892. assign V425207 = V992944. assign V353663 = V251082. assign V831147 = V209483 + 1. assign V816401 = V647932 + 1. assign V972547 = V740830 - 1. assign V309712 = V094565 + 1. assign V433079 = V551399 + 1. assign V287559 = V502634. assign V757905 = V932381 + 1. assign V341054 = V633216 + 1. assign V458821 = V627266. assign V680594 = V545707. assign V382505 = V464608 - 1. assign V292023 = V005517 - 1. assign V352095 = V244199 - 1. assign V600324 = V602183. assign V457950 = V220678 - 1. assign V559885 = V627266 + 1. assign V902550 = V158330 - 1. assign V909411 = V144973. assign V149627 = V967430 - 1. assign V824026 = V253113 + 1. assign V415144 = V914609. assign V837841 = V065671. assign V367872 = V699803. assign V590016 = V311892 - 1. assign V078346 = V106912 - 1. assign V114400 = V545707 + 1. assign V914609 = V699803 + 1. assign V952643 = V832654 + 1. assign V244199 = V943997. assign V426036 = V169231 - 1. assign V336613 = V184756 + 1. assign V315274 = V425207 - 1. assign V569787 = V985713. assign V149229 = V556342 - 1. assign V209447 = V378256. assign V209483 = V187844 + 1. assign V662457 = V710238 - 1. assign V787021 = V108490 - 1. assign V962835 = V632596 + 1. assign V992944 = V094565 + 1. assign V545707 = V604601. assign V125684 = V458821 + 1. assign V272814 = V699809. assign V559364 = V577910 - 1. assign V981029 = V927222. assign V468680 = V604101. assign V286086 = V851979 - 1. assign V326341 = V347778 - 1. assign V217995 = V481213 + 1. assign V790310 = V311914 - 1. assign V152124 = V699803 - 1. assign V502634 = V577910. assign V962198 = V924208. assign V710238 = V952643 + 1. assign V155824 = V251082. assign V176360 = V967430 + 1. assign V641363 = V131278. assign V572507 = V063474. assign V180942 = V962835. assign V144973 = V049989 - 1. assign V893630 = V387017. assign V973123 = V297818 + 1. assign V464608 = V278388. assign V864067 = V338049. assign V781513 = V268893 + 1. assign V196140 = V657905. assign V475171 = V345616 - 1. assign V065671 = V285267 - 1. assign V569998 = V756753 - 1. assign V224872 = V152124 - 1. assign V734374 = V952643. assign V300959 = V802164. assign V780026 = V158330 + 1. assign V780702 = V702745. assign V518700 = V114400. assign V604601 = V311892 - 1. assign V393676 = V078346. assign V163195 = V567927 - 1. assign V334594 = V025180. assign V070330 = V042220. assign V301343 = V515285. assign V149168 = V956884 + 1. assign V505475 = V863814. assign V642651 = V094565 - 1. assign V063474 = V149627 + 1. assign V602183 = V294073. assign V699803 = V294073 + 1. assign V544231 = V544194 + 1. assign V449573 = V224872 + 1. assign V289053 = V439483 + 1. assign V391362 = V924283 + 1. assign V543561 = V209483 + 1. assign V278388 = V604601. assign V472940 = V220678. assign V046201 = V036765. assign V036765 = V358765. assign V345616 = V633216 + 1. assign V633216 = 0. assign V471312 = V856949. assign V033689 = V287559 + 1. assign V609135 = V315274. assign V119053 = V311892 + 1. assign V668985 = V924283. assign V895438 = V642651 + 1. assign V780120 = V508783 + 1. assign V638895 = V251082 - 1. assign V470569 = V428924. assign V787703 = V338049. assign V879446 = V710238. assign V585517 = V924208 + 1. assign V158330 = V294073 - 1. assign V169231 = V816974. assign V918788 = V425207 + 1. assign V220678 = V094565. assign V788672 = V256706. assign V159713 = V063251. assign V479133 = V416851. assign V279639 = V078346. assign V481213 = V268893 + 1. assign V130922 = V780026. assign V589895 = V416851 - 1. assign V854191 = V025180. assign V395399 = V287559 + 1. assign V800569 = V168951 - 1. assign V168951 = V992944. assign V504880 = V464608. assign V723941 = V654699. assign V466786 = V627266 + 1. assign V717006 = V532250 - 1. assign V561129 = V956884 - 1. assign V338049 = V532250. assign V927222 = V278388 + 1. assign V647932 = V174941. assign V025180 = V094565 - 1. assign V153956 = V822350 + 1. assign V311892 = V094565 - 1. assign V332276 = V654859. assign V805264 = V831147. assign V358765 = V826824. assign V279064 = V775727 + 1. assign V568019 = V149680 - 1. assign V501032 = V767509 + 1. assign V713087 = V924283 - 1. assign V992470 = V300959 + 1. assign V851979 = V642651 + 1. assign V627266 = V108490 - 1. assign V347778 = V952643. assign V160700 = V353663 + 1. assign V181860 = V220678 - 1. assign V591440 = V158330 + 1. assign V110794 = V600324 + 1. assign V094565 = V832654 + 1. assign V508783 = V294073 - 1. assign V789041 = V094565 + 1. assign V822350 = V914609 + 1. assign V691670 = V633216 - 1. assign V544194 = V604601 - 1. assign V541828 = V577910. assign V545399 = V838857 + 1. assign V388102 = V654699 - 1. assign V010259 = V108490 + 1. assign V184756 = V839130. assign V616287 = V967430 - 1. assign V987104 = V775727 - 1. assign V225362 = V114400 + 1. assign V557753 = V466786 - 1. assign V294073 = V311892 - 1. assign V079409 = V106912. assign V567927 = V822350 - 1. assign V424643 = V932381. assign V832081 = V941505 - 1. assign V495187 = V360468. assign V440453 = V420937 + 1. assign V123957 = V544194 - 1. assign V856949 = V717006. assign V687581 = V985713 - 1. assign V477562 = V423868 - 1. assign V285267 = V591440 - 1. assign V063251 = V272814 - 1. assign V421385 = V269901. assign V407087 = V251082. assign V683911 = V466762. assign V966584 = V541828 - 1. assign V075736 = V577910. assign V756753 = V311892 - 1. assign V995415 = V458442. assign V885602 = V341054. assign V699809 = V253113 - 1. assign V547621 = V893630 - 1. assign V362140 = V253113 - 1. assign V954791 = V550159 + 1. assign V093666 = V941505 + 1. assign V790130 = V338049. assign V479439 = V918788 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV633216 = 0;\n\nFrom these direct assignment(s), we have: \nV691670 = V633216 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V691670;\nV345616 = V633216 + 1 = 0 + 1 =1;\nV475171 = V345616 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V475171;\nV437115 = V345616 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V437115;\nV047439 = V345616 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V047439;\nNo other varaibles can be derived from V345616;\nV341054 = V633216 + 1 = 0 + 1 =1;\nV885602 = V341054 = 1;\nNo other varaibles can be derived from V885602;\nV742356 = V341054 = 1;\nV490613 = V742356 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V490613;\nNo other varaibles can be derived from V742356;\nNo other varaibles can be derived from V341054;\nNo other varaibles can be derived from V633216;\n\nNow we have done all the calculations. Derived variables are:\nV633216 = 0;\nV691670 = -1;\nV345616 = 1;\nV475171 = 0;\nV437115 = 0;\nV047439 = 0;\nV341054 = 1;\nV885602 = 1;\nV742356 = 1;\nV490613 = 2;\n\nNow we have finished this problem. ANSWER:\nV345616, V341054, V885602, V742356\n", "role": "assistant" } ]

[ "V141050", "V200846", "V255586" ]

[ { "content": "<context>\nassign V666062 = V681437 + 1. assign V007848 = V666062. assign V312755 = V857560 - 1. assign V307553 = V910738 - 1. assign V340223 = V404108 - 1. assign V235364 = V585574 - 1. assign V168477 = V455752 - 1. assign V579457 = V271808 - 1. assign V219901 = V255586 + 1. assign V941776 = V275910. assign V735247 = V385187 - 1. assign V724107 = V878056 - 1. assign V514716 = V055390 + 1. assign V545760 = V417894 - 1. assign V378434 = V302771 - 1. assign V949284 = V417894. assign V218506 = V917160 - 1. assign V329331 = V271808 + 1. assign V378620 = V365153. assign V275910 = V426009. assign V661682 = V240992 - 1. assign V054004 = V641205. assign V596725 = V526356. assign V927161 = V248263. assign V096785 = V641306 - 1. assign V992232 = V262879. assign V969746 = V581487. assign V086355 = V688723 - 1. assign V998879 = V737792 - 1. assign V385187 = V393784. assign V578182 = V504564 + 1. assign V017964 = V081811. assign V976610 = V859110. assign V641205 = V048607 - 1. assign V032069 = V105077 - 1. assign V302771 = V489544 - 1. assign V770537 = V487611 + 1. assign V475414 = V590853. assign V081466 = V487188 + 1. assign V915781 = V291779 - 1. assign V089817 = V977629 - 1. assign V304666 = V029098 + 1. assign V996286 = V191981 + 1. assign V681437 = V393784 - 1. assign V952736 = V291779 + 1. assign V392046 = V071969. assign V116682 = V307553 - 1. assign V302731 = V650811 + 1. assign V498927 = V515556 - 1. assign V650811 = V681437 - 1. assign V335908 = V009177. assign V157169 = V055390 - 1. assign V119481 = V103660 - 1. assign V022624 = V529450 + 1. assign V809493 = V302771 + 1. assign V250481 = V079910. assign V615154 = V240992. assign V081811 = V681437 - 1. assign V157603 = V136589 + 1. assign V313284 = V271808. assign V380790 = V826832 + 1. assign V526356 = V007848 - 1. assign V395829 = V398608 - 1. assign V187020 = V721485. assign V065411 = V248888 + 1. assign V787175 = V041971. assign V437795 = V022624. assign V992027 = V291779 + 1. assign V238976 = V585574 + 1. assign V936770 = V880994. assign V281738 = V450750. assign V652267 = V329331. assign V757793 = V860294. assign V995731 = V291779 - 1. assign V541474 = V395829 + 1. assign V442545 = V596725 + 1. assign V281145 = V918179 + 1. assign V327634 = V210133 + 1. assign V223942 = V398608. assign V215777 = V660580 + 1. assign V647420 = V106526. assign V492233 = V469846. assign V007355 = V449781. assign V079910 = V223942 + 1. assign V469846 = V378620 - 1. assign V286003 = V723088 - 1. assign V417607 = V138410 - 1. assign V646540 = V518683 - 1. assign V106526 = V249156 + 1. assign V287312 = V398608 - 1. assign V477560 = V743959 + 1. assign V046559 = V237881 - 1. assign V689044 = V469603 - 1. assign V472533 = V998701 - 1. assign V681154 = V365153. assign V973529 = V124227 - 1. assign V743959 = V826832. assign V892060 = V474478 + 1. assign V917160 = V469619. assign V469619 = V563394 - 1. assign V327656 = V498927 + 1. assign V242290 = V820565 - 1. assign V416107 = V317163. assign V728525 = V737792 + 1. assign V451642 = V952517 - 1. assign V450750 = V455752 - 1. assign V964105 = V743959. assign V760911 = V222086. assign V905130 = V579457 - 1. assign V820565 = V190556 + 1. assign V818306 = V469846 + 1. assign V688723 = V529450. assign V386017 = V340223 + 1. assign V207468 = V445163. assign V345646 = V700246. assign V166042 = V660580 - 1. assign V170749 = V723088 + 1. assign V066384 = V152738. assign V262879 = V307553. assign V541438 = V981010 + 1. assign V851714 = V563394 + 1. assign V583995 = V700246 + 1. assign V250199 = V641306 - 1. assign V375783 = V869537 - 1. assign V080481 = V959215. assign V859110 = V489544 + 1. assign V473109 = V141050 - 1. assign V721329 = V724107 + 1. assign V308462 = V681437 + 1. assign V365506 = V106526 + 1. assign V625021 = V563394 - 1. assign V200846 = V581487 - 1. assign V560959 = V063201. assign V737792 = V004770 + 1. assign V796377 = V215763 + 1. assign V679375 = V436480 - 1. assign V455752 = V721485 - 1. assign V271808 = V561527 - 1. assign V387464 = V271808. assign V641306 = V105077 + 1. assign V886807 = V860294 + 1. assign V487188 = V378434 - 1. assign V518683 = V365153. assign V579969 = V366800 - 1. assign V929425 = V585574 + 1. assign V055885 = V105077 + 1. assign V910152 = V148847. assign V601678 = V242401 - 1. assign V162776 = V998701. assign V138410 = V385187 - 1. assign V062208 = V191778. assign V510848 = V286003 + 1. assign V922348 = V291779 - 1. assign V912307 = V859110 - 1. assign V173169 = V936770. assign V954587 = V579969 - 1. assign V815862 = V416107 - 1. assign V753092 = V809493 + 1. assign V217199 = V472533 - 1. assign V451663 = V291779 - 1. assign V910738 = V157169 + 1. assign V880994 = V678636. assign V529450 = V051810. assign V745651 = V153160 - 1. assign V503439 = V992232. assign V433996 = V210133. assign V787587 = V678636 + 1. assign V367869 = V115705. assign V240992 = V869537. assign V796053 = V475414 + 1. assign V248888 = V105077 + 1. assign V213510 = V897863. assign V724626 = V912307 + 1. assign V510037 = V344756 + 1. assign V105707 = V529450. assign V642480 = V766615. assign V861693 = V392046 + 1. assign V148847 = V678636 - 1. assign V769345 = V469619 + 1. assign V063201 = V248888. assign V445163 = V386017. assign V014686 = V681437. assign V365153 = V880994 + 1. assign V882209 = V406390. assign V487611 = V393784 + 1. assign V586215 = V590074 + 1. assign V814704 = V430428. assign V047342 = V031322 - 1. assign V248263 = V031322 - 1. assign V398608 = V392046 + 1. assign V878056 = V148847 - 1. assign V474478 = V977629 - 1. assign V679955 = V392046. assign V826832 = V514716 - 1. assign V430428 = V487188. assign V152738 = V666062 + 1. assign V136589 = V269652. assign V173565 = V207468. assign V172131 = V235364 - 1. assign V365811 = V579969 - 1. assign V544559 = V770537. assign V124227 = V603199 + 1. assign V590074 = V998701. assign V515556 = V561527 - 1. assign V140607 = V514716. assign V531577 = V646540. assign V886055 = V398608. assign V086270 = V329331 + 1. assign V563394 = V487611 - 1. assign V557381 = V504564 - 1. assign V402469 = V905130 - 1. assign V222086 = V291779 + 1. assign V436480 = V307553 + 1. assign V808514 = V191981 - 1. assign V640655 = V796053 + 1. assign V590853 = V561527 + 1. assign V269652 = V395829. assign V103660 = V191369 + 1. assign V780599 = V105077 + 1. assign V446037 = V365153 - 1. assign V912656 = V469603 - 1. assign V715320 = V905130 - 1. assign V237881 = V476042 + 1. assign V344756 = V857560. assign V766615 = V489544 + 1. assign V317163 = V071969 + 1. assign V055390 = V681437 - 1. assign V952872 = V446037 + 1. assign V869537 = V880994 - 1. assign V952517 = V385187. assign V254080 = V472533. assign V009177 = V406390 - 1. assign V784630 = V436480 + 1. assign V469603 = V579457 + 1. assign V915553 = V995731. assign V449781 = V392046 + 1. assign V860294 = V386017 - 1. assign V051810 = V404108. assign V242401 = V105077 + 1. assign V700246 = V880994 + 1. assign V247298 = V404108 - 1. assign V417894 = V416107 - 1. assign V528596 = V626485 - 1. assign V048607 = V433996. assign V476042 = V308462 - 1. assign V416557 = V660580. assign V291779 = V998701. assign V675066 = V449781 - 1. assign V142210 = V710547 + 1. assign V660580 = V912307 - 1. assign V441697 = V210133 + 1. assign V255586 = V581487 - 1. assign V860634 = V662733. assign V041971 = V071969 + 1. assign V942147 = V826832. assign V356394 = V678636 + 1. assign V066915 = V190556. assign V489544 = V681437 + 1. assign V406390 = V317163 + 1. assign V462007 = V529450 - 1. assign V710547 = V386017 - 1. assign V791324 = V585064 + 1. assign V615793 = V191369 + 1. assign V897863 = V009177 + 1. assign V959215 = V200846 - 1. assign V143050 = V168477 - 1. assign V504564 = V395829 - 1. assign V426009 = V561527. assign V449905 = V722224 + 1. assign V936270 = V710547. assign V112126 = V291779 - 1. assign V857560 = V398608. assign V603199 = V017964. assign V787203 = V964105. assign V623350 = V959215. assign V522462 = V308462 - 1. assign V408871 = V079910 + 1. assign V404108 = V392046. assign V191778 = V317163. assign V550544 = V417894 + 1. assign V889951 = V791324. assign V069282 = V335908. assign V686192 = V313284. assign V706301 = V291779 + 1. assign V214315 = V235364 - 1. assign V191981 = V238976 + 1. assign V035788 = V417894. assign V662733 = V998701. assign V883432 = V106526 - 1. assign V678636 = V071969. assign V246955 = V590074 - 1. assign V141050 = V581487 - 1. assign V426879 = V973529. assign V797414 = V442545 - 1. assign V561527 = V880994 + 1. assign V046556 = V487188 - 1. assign V544846 = V710547. assign V599013 = V910738 - 1. assign V904385 = V308462 + 1. assign V115705 = V313284 - 1. assign V581487 = 1. assign V031322 = V998701 - 1. assign V981010 = V385187 + 1. assign V620448 = V055885 + 1. assign V846796 = V046559 + 1. assign V721485 = V071969. assign V856348 = V281145 + 1. assign V819311 = V055885 + 1. assign V312556 = V148847 + 1. assign V206353 = V964105 + 1. assign V215763 = V287312 + 1. assign V977629 = V880994 + 1. assign V585574 = V936770. assign V928185 = V472533 - 1. assign V998701 = V721485 - 1. assign V810685 = V105077 - 1. assign V052757 = V081466. assign V803078 = V646540 - 1. assign V860481 = V510848 - 1. assign V012673 = V615154. assign V635788 = V237881 - 1. assign V191369 = V404108 + 1. assign V029098 = V977629. assign V004770 = V446037 - 1. assign V722224 = V029098 - 1. assign V335718 = V666062 + 1. assign V777952 = V081466 + 1. assign V153160 = V392046. assign V585064 = V819311 + 1. assign V520682 = V915553 + 1. assign V364862 = V340223. assign V697437 = V498927 + 1. assign V025751 = V237881 - 1. assign V294923 = V433996 - 1. assign V273684 = V119481 + 1. assign V436408 = V116682 + 1. assign V190556 = V248888. assign V918179 = V378434. assign V255471 = V652267 - 1. assign V474686 = V861693 + 1. assign V366800 = V294923. assign V810967 = V249156 + 1. assign V496245 = V222086. assign V210133 = V998701. assign V723088 = V585574. assign V105077 = V487611 + 1. assign V249156 = V222086. assign V762401 = V492233 + 1. assign V393784 = V910152 - 1. assign V626485 = V469619 + 1. assign V136027 = V689044.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V666062 = V681437 + 1. assign V007848 = V666062. assign V312755 = V857560 - 1. assign V307553 = V910738 - 1. assign V340223 = V404108 - 1. assign V235364 = V585574 - 1. assign V168477 = V455752 - 1. assign V579457 = V271808 - 1. assign V219901 = V255586 + 1. assign V941776 = V275910. assign V735247 = V385187 - 1. assign V724107 = V878056 - 1. assign V514716 = V055390 + 1. assign V545760 = V417894 - 1. assign V378434 = V302771 - 1. assign V949284 = V417894. assign V218506 = V917160 - 1. assign V329331 = V271808 + 1. assign V378620 = V365153. assign V275910 = V426009. assign V661682 = V240992 - 1. assign V054004 = V641205. assign V596725 = V526356. assign V927161 = V248263. assign V096785 = V641306 - 1. assign V992232 = V262879. assign V969746 = V581487. assign V086355 = V688723 - 1. assign V998879 = V737792 - 1. assign V385187 = V393784. assign V578182 = V504564 + 1. assign V017964 = V081811. assign V976610 = V859110. assign V641205 = V048607 - 1. assign V032069 = V105077 - 1. assign V302771 = V489544 - 1. assign V770537 = V487611 + 1. assign V475414 = V590853. assign V081466 = V487188 + 1. assign V915781 = V291779 - 1. assign V089817 = V977629 - 1. assign V304666 = V029098 + 1. assign V996286 = V191981 + 1. assign V681437 = V393784 - 1. assign V952736 = V291779 + 1. assign V392046 = V071969. assign V116682 = V307553 - 1. assign V302731 = V650811 + 1. assign V498927 = V515556 - 1. assign V650811 = V681437 - 1. assign V335908 = V009177. assign V157169 = V055390 - 1. assign V119481 = V103660 - 1. assign V022624 = V529450 + 1. assign V809493 = V302771 + 1. assign V250481 = V079910. assign V615154 = V240992. assign V081811 = V681437 - 1. assign V157603 = V136589 + 1. assign V313284 = V271808. assign V380790 = V826832 + 1. assign V526356 = V007848 - 1. assign V395829 = V398608 - 1. assign V187020 = V721485. assign V065411 = V248888 + 1. assign V787175 = V041971. assign V437795 = V022624. assign V992027 = V291779 + 1. assign V238976 = V585574 + 1. assign V936770 = V880994. assign V281738 = V450750. assign V652267 = V329331. assign V757793 = V860294. assign V995731 = V291779 - 1. assign V541474 = V395829 + 1. assign V442545 = V596725 + 1. assign V281145 = V918179 + 1. assign V327634 = V210133 + 1. assign V223942 = V398608. assign V215777 = V660580 + 1. assign V647420 = V106526. assign V492233 = V469846. assign V007355 = V449781. assign V079910 = V223942 + 1. assign V469846 = V378620 - 1. assign V286003 = V723088 - 1. assign V417607 = V138410 - 1. assign V646540 = V518683 - 1. assign V106526 = V249156 + 1. assign V287312 = V398608 - 1. assign V477560 = V743959 + 1. assign V046559 = V237881 - 1. assign V689044 = V469603 - 1. assign V472533 = V998701 - 1. assign V681154 = V365153. assign V973529 = V124227 - 1. assign V743959 = V826832. assign V892060 = V474478 + 1. assign V917160 = V469619. assign V469619 = V563394 - 1. assign V327656 = V498927 + 1. assign V242290 = V820565 - 1. assign V416107 = V317163. assign V728525 = V737792 + 1. assign V451642 = V952517 - 1. assign V450750 = V455752 - 1. assign V964105 = V743959. assign V760911 = V222086. assign V905130 = V579457 - 1. assign V820565 = V190556 + 1. assign V818306 = V469846 + 1. assign V688723 = V529450. assign V386017 = V340223 + 1. assign V207468 = V445163. assign V345646 = V700246. assign V166042 = V660580 - 1. assign V170749 = V723088 + 1. assign V066384 = V152738. assign V262879 = V307553. assign V541438 = V981010 + 1. assign V851714 = V563394 + 1. assign V583995 = V700246 + 1. assign V250199 = V641306 - 1. assign V375783 = V869537 - 1. assign V080481 = V959215. assign V859110 = V489544 + 1. assign V473109 = V141050 - 1. assign V721329 = V724107 + 1. assign V308462 = V681437 + 1. assign V365506 = V106526 + 1. assign V625021 = V563394 - 1. assign V200846 = V581487 - 1. assign V560959 = V063201. assign V737792 = V004770 + 1. assign V796377 = V215763 + 1. assign V679375 = V436480 - 1. assign V455752 = V721485 - 1. assign V271808 = V561527 - 1. assign V387464 = V271808. assign V641306 = V105077 + 1. assign V886807 = V860294 + 1. assign V487188 = V378434 - 1. assign V518683 = V365153. assign V579969 = V366800 - 1. assign V929425 = V585574 + 1. assign V055885 = V105077 + 1. assign V910152 = V148847. assign V601678 = V242401 - 1. assign V162776 = V998701. assign V138410 = V385187 - 1. assign V062208 = V191778. assign V510848 = V286003 + 1. assign V922348 = V291779 - 1. assign V912307 = V859110 - 1. assign V173169 = V936770. assign V954587 = V579969 - 1. assign V815862 = V416107 - 1. assign V753092 = V809493 + 1. assign V217199 = V472533 - 1. assign V451663 = V291779 - 1. assign V910738 = V157169 + 1. assign V880994 = V678636. assign V529450 = V051810. assign V745651 = V153160 - 1. assign V503439 = V992232. assign V433996 = V210133. assign V787587 = V678636 + 1. assign V367869 = V115705. assign V240992 = V869537. assign V796053 = V475414 + 1. assign V248888 = V105077 + 1. assign V213510 = V897863. assign V724626 = V912307 + 1. assign V510037 = V344756 + 1. assign V105707 = V529450. assign V642480 = V766615. assign V861693 = V392046 + 1. assign V148847 = V678636 - 1. assign V769345 = V469619 + 1. assign V063201 = V248888. assign V445163 = V386017. assign V014686 = V681437. assign V365153 = V880994 + 1. assign V882209 = V406390. assign V487611 = V393784 + 1. assign V586215 = V590074 + 1. assign V814704 = V430428. assign V047342 = V031322 - 1. assign V248263 = V031322 - 1. assign V398608 = V392046 + 1. assign V878056 = V148847 - 1. assign V474478 = V977629 - 1. assign V679955 = V392046. assign V826832 = V514716 - 1. assign V430428 = V487188. assign V152738 = V666062 + 1. assign V136589 = V269652. assign V173565 = V207468. assign V172131 = V235364 - 1. assign V365811 = V579969 - 1. assign V544559 = V770537. assign V124227 = V603199 + 1. assign V590074 = V998701. assign V515556 = V561527 - 1. assign V140607 = V514716. assign V531577 = V646540. assign V886055 = V398608. assign V086270 = V329331 + 1. assign V563394 = V487611 - 1. assign V557381 = V504564 - 1. assign V402469 = V905130 - 1. assign V222086 = V291779 + 1. assign V436480 = V307553 + 1. assign V808514 = V191981 - 1. assign V640655 = V796053 + 1. assign V590853 = V561527 + 1. assign V269652 = V395829. assign V103660 = V191369 + 1. assign V780599 = V105077 + 1. assign V446037 = V365153 - 1. assign V912656 = V469603 - 1. assign V715320 = V905130 - 1. assign V237881 = V476042 + 1. assign V344756 = V857560. assign V766615 = V489544 + 1. assign V317163 = V071969 + 1. assign V055390 = V681437 - 1. assign V952872 = V446037 + 1. assign V869537 = V880994 - 1. assign V952517 = V385187. assign V254080 = V472533. assign V009177 = V406390 - 1. assign V784630 = V436480 + 1. assign V469603 = V579457 + 1. assign V915553 = V995731. assign V449781 = V392046 + 1. assign V860294 = V386017 - 1. assign V051810 = V404108. assign V242401 = V105077 + 1. assign V700246 = V880994 + 1. assign V247298 = V404108 - 1. assign V417894 = V416107 - 1. assign V528596 = V626485 - 1. assign V048607 = V433996. assign V476042 = V308462 - 1. assign V416557 = V660580. assign V291779 = V998701. assign V675066 = V449781 - 1. assign V142210 = V710547 + 1. assign V660580 = V912307 - 1. assign V441697 = V210133 + 1. assign V255586 = V581487 - 1. assign V860634 = V662733. assign V041971 = V071969 + 1. assign V942147 = V826832. assign V356394 = V678636 + 1. assign V066915 = V190556. assign V489544 = V681437 + 1. assign V406390 = V317163 + 1. assign V462007 = V529450 - 1. assign V710547 = V386017 - 1. assign V791324 = V585064 + 1. assign V615793 = V191369 + 1. assign V897863 = V009177 + 1. assign V959215 = V200846 - 1. assign V143050 = V168477 - 1. assign V504564 = V395829 - 1. assign V426009 = V561527. assign V449905 = V722224 + 1. assign V936270 = V710547. assign V112126 = V291779 - 1. assign V857560 = V398608. assign V603199 = V017964. assign V787203 = V964105. assign V623350 = V959215. assign V522462 = V308462 - 1. assign V408871 = V079910 + 1. assign V404108 = V392046. assign V191778 = V317163. assign V550544 = V417894 + 1. assign V889951 = V791324. assign V069282 = V335908. assign V686192 = V313284. assign V706301 = V291779 + 1. assign V214315 = V235364 - 1. assign V191981 = V238976 + 1. assign V035788 = V417894. assign V662733 = V998701. assign V883432 = V106526 - 1. assign V678636 = V071969. assign V246955 = V590074 - 1. assign V141050 = V581487 - 1. assign V426879 = V973529. assign V797414 = V442545 - 1. assign V561527 = V880994 + 1. assign V046556 = V487188 - 1. assign V544846 = V710547. assign V599013 = V910738 - 1. assign V904385 = V308462 + 1. assign V115705 = V313284 - 1. assign V581487 = 1. assign V031322 = V998701 - 1. assign V981010 = V385187 + 1. assign V620448 = V055885 + 1. assign V846796 = V046559 + 1. assign V721485 = V071969. assign V856348 = V281145 + 1. assign V819311 = V055885 + 1. assign V312556 = V148847 + 1. assign V206353 = V964105 + 1. assign V215763 = V287312 + 1. assign V977629 = V880994 + 1. assign V585574 = V936770. assign V928185 = V472533 - 1. assign V998701 = V721485 - 1. assign V810685 = V105077 - 1. assign V052757 = V081466. assign V803078 = V646540 - 1. assign V860481 = V510848 - 1. assign V012673 = V615154. assign V635788 = V237881 - 1. assign V191369 = V404108 + 1. assign V029098 = V977629. assign V004770 = V446037 - 1. assign V722224 = V029098 - 1. assign V335718 = V666062 + 1. assign V777952 = V081466 + 1. assign V153160 = V392046. assign V585064 = V819311 + 1. assign V520682 = V915553 + 1. assign V364862 = V340223. assign V697437 = V498927 + 1. assign V025751 = V237881 - 1. assign V294923 = V433996 - 1. assign V273684 = V119481 + 1. assign V436408 = V116682 + 1. assign V190556 = V248888. assign V918179 = V378434. assign V255471 = V652267 - 1. assign V474686 = V861693 + 1. assign V366800 = V294923. assign V810967 = V249156 + 1. assign V496245 = V222086. assign V210133 = V998701. assign V723088 = V585574. assign V105077 = V487611 + 1. assign V249156 = V222086. assign V762401 = V492233 + 1. assign V393784 = V910152 - 1. assign V626485 = V469619 + 1. assign V136027 = V689044.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV581487 = 1;\n\nFrom these direct assignment(s), we have: \nV141050 = V581487 - 1 = 1 - 1 =0;\nV473109 = V141050 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V473109;\nNo other varaibles can be derived from V141050;\nV255586 = V581487 - 1 = 1 - 1 =0;\nV219901 = V255586 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V219901;\nNo other varaibles can be derived from V255586;\nV200846 = V581487 - 1 = 1 - 1 =0;\nV959215 = V200846 - 1 = 0 - 1 =-1;\nV623350 = V959215 = -1;\nNo other varaibles can be derived from V623350;\nV080481 = V959215 = -1;\nNo other varaibles can be derived from V080481;\nNo other varaibles can be derived from V959215;\nNo other varaibles can be derived from V200846;\nV969746 = V581487 = 1;\nNo other varaibles can be derived from V969746;\nNo other varaibles can be derived from V581487;\n\nNow we have done all the calculations. Derived variables are:\nV581487 = 1;\nV141050 = 0;\nV473109 = -1;\nV255586 = 0;\nV219901 = 1;\nV200846 = 0;\nV959215 = -1;\nV623350 = -1;\nV080481 = -1;\nV969746 = 1;\n\nNow we have finished this problem. ANSWER:\nV141050, V255586, V200846\n", "role": "assistant" } ]

[ "V694639", "V181998" ]

[ { "content": "<context>\nassign V539933 = V209676 + 1. assign V394127 = V564955 + 1. assign V843796 = V896476 + 1. assign V628987 = V551013 + 1. assign V691986 = V045345 - 1. assign V680139 = 7. assign V168822 = V638723 - 1. assign V190690 = V629358. assign V632918 = V003307. assign V120940 = V288380 + 1. assign V005526 = V199332. assign V086478 = V469509 + 1. assign V716244 = V101251. assign V501997 = V136844 - 1. assign V101070 = V133691. assign V755618 = V188641. assign V007689 = V469103. assign V800205 = V288549. assign V528984 = V491054 + 1. assign V269160 = V354562 - 1. assign V963307 = V235163. assign V671184 = V199635 + 1. assign V502088 = V395452. assign V959327 = V593578 + 1. assign V352010 = V478256. assign V066086 = V968641. assign V129533 = V384166. assign V000900 = V339128 + 1. assign V235163 = V490304 - 1. assign V832134 = V741540 - 1. assign V856018 = V952641. assign V112470 = V483920 - 1. assign V476777 = V140364 + 1. assign V127064 = V795948 - 1. assign V815934 = V967990 - 1. assign V836527 = V116062 + 1. assign V493472 = V028292 + 1. assign V104260 = V068468 + 1. assign V638723 = V834289 - 1. assign V303063 = V900435 - 1. assign V362885 = V490304. assign V049190 = V721805 + 1. assign V684676 = V482947 - 1. assign V834289 = V891363 - 1. assign V048519 = V399584. assign V629411 = V967990 + 1. assign V629358 = V828317 + 1. assign V795948 = V199635 + 1. assign V023410 = V483920 - 1. assign V769331 = V866611 + 1. assign V241374 = V028292 + 1. assign V775374 = V005649 - 1. assign V467477 = V161901 - 1. assign V912264 = V050428 + 1. assign V012036 = V362858. assign V945199 = V896476. assign V344571 = V412922 - 1. assign V136844 = V127064. assign V934149 = V798638 + 1. assign V953991 = V352010 + 1. assign V010799 = V354562 - 1. assign V347229 = V104260 + 1. assign V624869 = V098079 - 1. assign V891750 = V985400 - 1. assign V985400 = V412401. assign V005649 = V039882. assign V850885 = V208118 - 1. assign V707022 = V023410 + 1. assign V028292 = V176764 + 1. assign V967990 = V112470 + 1. assign V744423 = V953991. assign V284815 = V810290 + 1. assign V502900 = V684676. assign V045345 = V194985 - 1. assign V660125 = V209676 - 1. assign V708044 = V033313. assign V499491 = V813259 + 1. assign V899805 = V122052 + 1. assign V063847 = V913160 - 1. assign V194985 = V720939 - 1. assign V971400 = V783437. assign V460758 = V795948 - 1. assign V929164 = V039882 - 1. assign V051937 = V528984. assign V029243 = V225349. assign V466943 = V116062 - 1. assign V308644 = V684676 - 1. assign V399584 = V700188. assign V866207 = V051937 + 1. assign V574634 = V491054 - 1. assign V939630 = V784520 - 1. assign V324367 = V539933. assign V825986 = V066774 + 1. assign V313419 = V629377 + 1. assign V870221 = V497741 - 1. assign V700188 = V641790. assign V483920 = V199635 - 1. assign V869655 = V707022. assign V214115 = V741540 + 1. assign V268657 = V288549. assign V492442 = V606355 - 1. assign V197949 = V452645 - 1. assign V745087 = V235163. assign V942736 = V010799 - 1. assign V573091 = V795948 + 1. assign V345044 = V354562. assign V122052 = V839385 - 1. assign V522759 = V627145. assign V002225 = V811250 + 1. assign V762343 = V161901 + 1. assign V342982 = V684676 + 1. assign V403379 = V627145. assign V122117 = V318872 + 1. assign V050445 = V352010 + 1. assign V571344 = V235163 - 1. assign V776600 = V891363 + 1. assign V953572 = V452645 - 1. assign V508647 = V225349 - 1. assign V820581 = V063847 - 1. assign V904165 = V359346 - 1. assign V776484 = V492783 + 1. assign V490304 = V005649 - 1. assign V534987 = V919381 - 1. assign V744939 = V909883. assign V585811 = V029243 + 1. assign V129768 = V909883. assign V147415 = V493472 - 1. assign V756297 = V483920 + 1. assign V634109 = V721805 + 1. assign V239896 = V534987 + 1. assign V718481 = V641790 + 1. assign V208118 = V292111 + 1. assign V399588 = V050445 - 1. assign V133691 = V834289 - 1. assign V416851 = V642108. assign V896476 = V354562 - 1. assign V584318 = V741540 + 1. assign V981526 = V324367 + 1. assign V373301 = V241374. assign V101251 = V285211 - 1. assign V891363 = V483920 - 1. assign V582491 = V631394 - 1. assign V937836 = V188482 - 1. assign V223785 = V462511 + 1. assign V842719 = V981526 - 1. assign V675294 = V492783 + 1. assign V737278 = V399588 - 1. assign V032407 = V952641. assign V501736 = V721805 + 1. assign V838220 = V002225 - 1. assign V050428 = V700188 + 1. assign V929219 = V870221 - 1. assign V919381 = V581613. assign V304257 = V624869 + 1. assign V118525 = V968364 - 1. assign V875053 = V033313. assign V672990 = V118525. assign V466011 = V934149. assign V629377 = V140364 + 1. assign V798844 = V596883. assign V368212 = V741540. assign V354562 = V112470 - 1. assign V424383 = V843796 + 1. assign V941901 = V010799. assign V624778 = V638723 - 1. assign V707441 = V929219 + 1. assign V430515 = V165690. assign V913160 = V241826 + 1. assign V783437 = V048519. assign V492783 = V098079 + 1. assign V315389 = V624869. assign V985898 = V834289. assign V106380 = V675294 - 1. assign V027875 = V332992. assign V839385 = V260409 + 1. assign V627145 = V315389. assign V599457 = V478256 + 1. assign V968364 = V039882. assign V399587 = V279334 + 1. assign V199635 = V292111. assign V188482 = V104260 - 1. assign V157441 = V891363 + 1. assign V331363 = V418401. assign V364004 = V539933. assign V059748 = V288380. assign V306986 = V108882 + 1. assign V462340 = V412401 + 1. assign V192308 = V582491. assign V296941 = V491054. assign V925968 = V544675 - 1. assign V469509 = V606355. assign V412401 = V843796 + 1. assign V631394 = V296941 + 1. assign V836995 = V581613. assign V209697 = V744423 + 1. assign V721130 = V476777 - 1. assign V336880 = V891363 - 1. assign V268214 = V483920. assign V418401 = V896476 + 1. assign V006229 = V196670 + 1. assign V288549 = V795948 - 1. assign V412922 = V624869 + 1. assign V247032 = V594387 - 1. assign V120345 = V412401. assign V339635 = V412401. assign V462511 = V279334. assign V838241 = V292111 + 1. assign V318872 = V469103. assign V129485 = V493472 + 1. assign V124280 = V629377 - 1. assign V293176 = V362885 - 1. assign V482947 = V834289 + 1. assign V910651 = V843104 + 1. assign V644241 = V068468 - 1. assign V161901 = V834289. assign V372584 = V896476 + 1. assign V952641 = V003307 - 1. assign V263269 = V675294 - 1. assign V068468 = V324367 - 1. assign V454109 = V861499. assign V806656 = V003307. assign V399504 = V209697. assign V525634 = V164780 - 1. assign V750483 = V675294. assign V924924 = V537954. assign V648727 = V672955 + 1. assign V080341 = V582491 - 1. assign V911912 = V963307 + 1. assign V591667 = V339128. assign V668957 = V624778. assign V384166 = V985898 + 1. assign V839186 = V188482 - 1. assign V672955 = V112470 + 1. assign V506017 = V811250 - 1. assign V781124 = V483920. assign V886048 = V680139. assign V544675 = V112470 + 1. assign V486668 = V606355 + 1. assign V926659 = V101070. assign V968641 = V112470 - 1. assign V320902 = V279334. assign V056392 = V783437 + 1. assign V295868 = V342982 + 1. assign V134206 = V985898. assign V407621 = V199635 - 1. assign V404319 = V843796 - 1. assign V193544 = V127064 + 1. assign V098079 = V891363 - 1. assign V711984 = V544675 - 1. assign V537954 = V700188 + 1. assign V497741 = V332992 - 1. assign V694882 = V129533 + 1. assign V066774 = V850885 - 1. assign V681858 = V368212 - 1. assign V606355 = V104260. assign V861499 = V412980 - 1. assign V140364 = V007689 - 1. assign V164780 = V318872. assign V165690 = V721805. assign V594387 = V493472 - 1. assign V312263 = V112470. assign V909883 = V268214. assign V260409 = V934149 - 1. assign V472207 = V537954 + 1. assign V694639 = V000900 + 1. assign V499565 = V129768 - 1. assign V564955 = V467477 - 1. assign V565884 = V312263 - 1. assign V103281 = V362858 - 1. assign V900771 = V534987 + 1. assign V553186 = V805953 - 1. assign V452645 = V023410 + 1. assign V843104 = V624778. assign V855380 = V850885. assign V225349 = V199635 + 1. assign V039882 = V891363. assign V596883 = V293176 - 1. assign V811250 = V624869. assign V364352 = V059748. assign V997820 = V407621 + 1. assign V825885 = V911912. assign V594442 = V953572 - 1. assign V813259 = V199332. assign V866611 = V491054 + 1. assign V936931 = V985898 + 1. assign V108882 = V412401. assign V551013 = V930191 - 1. assign V096381 = V359346. assign V116062 = V039882 - 1. assign V279334 = V359346 - 1. assign V593578 = V315389. assign V339128 = V680139 - 1. assign V003307 = V929164 - 1. assign V371749 = V800286 + 1. assign V332510 = V913160 + 1. assign V033313 = V660125 - 1. assign V784520 = V775374 + 1. assign V209676 = V891363 - 1. assign V396563 = V478256 + 1. assign V176764 = V268214 - 1. assign V491054 = V209676 + 1. assign V049437 = V629358. assign V362858 = V925968 + 1. assign V395452 = V836527 - 1. assign V359346 = V011585 + 1. assign V196670 = V624869 + 1. assign V764006 = V795948. assign V394522 = V629358 - 1. assign V011585 = V795948. assign V642108 = V499491 - 1. assign V288380 = V157441. assign V008801 = V855380 + 1. assign V798638 = V412401 - 1. assign V455800 = V347229 + 1. assign V784255 = V225349 + 1. assign V546440 = V506017 - 1. assign V208021 = V624778 - 1. assign V444543 = V364004 - 1. assign V641790 = V491054. assign V550667 = V539933 - 1. assign V188641 = V836995 + 1. assign V721805 = V161901 + 1. assign V741540 = V127064. assign V469103 = V909883. assign V828317 = V638723. assign V777825 = V462511 + 1. assign V800286 = V834289 + 1. assign V440318 = V581613 - 1. assign V199332 = V574634 - 1. assign V581613 = V660125. assign V900435 = V008801 + 1. assign V473797 = V359346 - 1. assign V285211 = V412980 - 1. assign V805953 = V005526 + 1. assign V196076 = V295868 - 1. assign V810290 = V800286 - 1. assign V181998 = V000900 + 1. assign V731648 = V784520 + 1. assign V121178 = V136844. assign V332992 = V023410 - 1. assign V766279 = V168822 + 1. assign V412980 = V324367. assign V474686 = V707022. assign V097648 = V364352 + 1. assign V720939 = V490304 + 1. assign V387630 = V288380. assign V241826 = V756297. assign V478256 = V161901 + 1. assign V930191 = V339128 + 1. assign V891268 = V241826 + 1. assign V503948 = V010799 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V539933 = V209676 + 1. assign V394127 = V564955 + 1. assign V843796 = V896476 + 1. assign V628987 = V551013 + 1. assign V691986 = V045345 - 1. assign V680139 = 7. assign V168822 = V638723 - 1. assign V190690 = V629358. assign V632918 = V003307. assign V120940 = V288380 + 1. assign V005526 = V199332. assign V086478 = V469509 + 1. assign V716244 = V101251. assign V501997 = V136844 - 1. assign V101070 = V133691. assign V755618 = V188641. assign V007689 = V469103. assign V800205 = V288549. assign V528984 = V491054 + 1. assign V269160 = V354562 - 1. assign V963307 = V235163. assign V671184 = V199635 + 1. assign V502088 = V395452. assign V959327 = V593578 + 1. assign V352010 = V478256. assign V066086 = V968641. assign V129533 = V384166. assign V000900 = V339128 + 1. assign V235163 = V490304 - 1. assign V832134 = V741540 - 1. assign V856018 = V952641. assign V112470 = V483920 - 1. assign V476777 = V140364 + 1. assign V127064 = V795948 - 1. assign V815934 = V967990 - 1. assign V836527 = V116062 + 1. assign V493472 = V028292 + 1. assign V104260 = V068468 + 1. assign V638723 = V834289 - 1. assign V303063 = V900435 - 1. assign V362885 = V490304. assign V049190 = V721805 + 1. assign V684676 = V482947 - 1. assign V834289 = V891363 - 1. assign V048519 = V399584. assign V629411 = V967990 + 1. assign V629358 = V828317 + 1. assign V795948 = V199635 + 1. assign V023410 = V483920 - 1. assign V769331 = V866611 + 1. assign V241374 = V028292 + 1. assign V775374 = V005649 - 1. assign V467477 = V161901 - 1. assign V912264 = V050428 + 1. assign V012036 = V362858. assign V945199 = V896476. assign V344571 = V412922 - 1. assign V136844 = V127064. assign V934149 = V798638 + 1. assign V953991 = V352010 + 1. assign V010799 = V354562 - 1. assign V347229 = V104260 + 1. assign V624869 = V098079 - 1. assign V891750 = V985400 - 1. assign V985400 = V412401. assign V005649 = V039882. assign V850885 = V208118 - 1. assign V707022 = V023410 + 1. assign V028292 = V176764 + 1. assign V967990 = V112470 + 1. assign V744423 = V953991. assign V284815 = V810290 + 1. assign V502900 = V684676. assign V045345 = V194985 - 1. assign V660125 = V209676 - 1. assign V708044 = V033313. assign V499491 = V813259 + 1. assign V899805 = V122052 + 1. assign V063847 = V913160 - 1. assign V194985 = V720939 - 1. assign V971400 = V783437. assign V460758 = V795948 - 1. assign V929164 = V039882 - 1. assign V051937 = V528984. assign V029243 = V225349. assign V466943 = V116062 - 1. assign V308644 = V684676 - 1. assign V399584 = V700188. assign V866207 = V051937 + 1. assign V574634 = V491054 - 1. assign V939630 = V784520 - 1. assign V324367 = V539933. assign V825986 = V066774 + 1. assign V313419 = V629377 + 1. assign V870221 = V497741 - 1. assign V700188 = V641790. assign V483920 = V199635 - 1. assign V869655 = V707022. assign V214115 = V741540 + 1. assign V268657 = V288549. assign V492442 = V606355 - 1. assign V197949 = V452645 - 1. assign V745087 = V235163. assign V942736 = V010799 - 1. assign V573091 = V795948 + 1. assign V345044 = V354562. assign V122052 = V839385 - 1. assign V522759 = V627145. assign V002225 = V811250 + 1. assign V762343 = V161901 + 1. assign V342982 = V684676 + 1. assign V403379 = V627145. assign V122117 = V318872 + 1. assign V050445 = V352010 + 1. assign V571344 = V235163 - 1. assign V776600 = V891363 + 1. assign V953572 = V452645 - 1. assign V508647 = V225349 - 1. assign V820581 = V063847 - 1. assign V904165 = V359346 - 1. assign V776484 = V492783 + 1. assign V490304 = V005649 - 1. assign V534987 = V919381 - 1. assign V744939 = V909883. assign V585811 = V029243 + 1. assign V129768 = V909883. assign V147415 = V493472 - 1. assign V756297 = V483920 + 1. assign V634109 = V721805 + 1. assign V239896 = V534987 + 1. assign V718481 = V641790 + 1. assign V208118 = V292111 + 1. assign V399588 = V050445 - 1. assign V133691 = V834289 - 1. assign V416851 = V642108. assign V896476 = V354562 - 1. assign V584318 = V741540 + 1. assign V981526 = V324367 + 1. assign V373301 = V241374. assign V101251 = V285211 - 1. assign V891363 = V483920 - 1. assign V582491 = V631394 - 1. assign V937836 = V188482 - 1. assign V223785 = V462511 + 1. assign V842719 = V981526 - 1. assign V675294 = V492783 + 1. assign V737278 = V399588 - 1. assign V032407 = V952641. assign V501736 = V721805 + 1. assign V838220 = V002225 - 1. assign V050428 = V700188 + 1. assign V929219 = V870221 - 1. assign V919381 = V581613. assign V304257 = V624869 + 1. assign V118525 = V968364 - 1. assign V875053 = V033313. assign V672990 = V118525. assign V466011 = V934149. assign V629377 = V140364 + 1. assign V798844 = V596883. assign V368212 = V741540. assign V354562 = V112470 - 1. assign V424383 = V843796 + 1. assign V941901 = V010799. assign V624778 = V638723 - 1. assign V707441 = V929219 + 1. assign V430515 = V165690. assign V913160 = V241826 + 1. assign V783437 = V048519. assign V492783 = V098079 + 1. assign V315389 = V624869. assign V985898 = V834289. assign V106380 = V675294 - 1. assign V027875 = V332992. assign V839385 = V260409 + 1. assign V627145 = V315389. assign V599457 = V478256 + 1. assign V968364 = V039882. assign V399587 = V279334 + 1. assign V199635 = V292111. assign V188482 = V104260 - 1. assign V157441 = V891363 + 1. assign V331363 = V418401. assign V364004 = V539933. assign V059748 = V288380. assign V306986 = V108882 + 1. assign V462340 = V412401 + 1. assign V192308 = V582491. assign V296941 = V491054. assign V925968 = V544675 - 1. assign V469509 = V606355. assign V412401 = V843796 + 1. assign V631394 = V296941 + 1. assign V836995 = V581613. assign V209697 = V744423 + 1. assign V721130 = V476777 - 1. assign V336880 = V891363 - 1. assign V268214 = V483920. assign V418401 = V896476 + 1. assign V006229 = V196670 + 1. assign V288549 = V795948 - 1. assign V412922 = V624869 + 1. assign V247032 = V594387 - 1. assign V120345 = V412401. assign V339635 = V412401. assign V462511 = V279334. assign V838241 = V292111 + 1. assign V318872 = V469103. assign V129485 = V493472 + 1. assign V124280 = V629377 - 1. assign V293176 = V362885 - 1. assign V482947 = V834289 + 1. assign V910651 = V843104 + 1. assign V644241 = V068468 - 1. assign V161901 = V834289. assign V372584 = V896476 + 1. assign V952641 = V003307 - 1. assign V263269 = V675294 - 1. assign V068468 = V324367 - 1. assign V454109 = V861499. assign V806656 = V003307. assign V399504 = V209697. assign V525634 = V164780 - 1. assign V750483 = V675294. assign V924924 = V537954. assign V648727 = V672955 + 1. assign V080341 = V582491 - 1. assign V911912 = V963307 + 1. assign V591667 = V339128. assign V668957 = V624778. assign V384166 = V985898 + 1. assign V839186 = V188482 - 1. assign V672955 = V112470 + 1. assign V506017 = V811250 - 1. assign V781124 = V483920. assign V886048 = V680139. assign V544675 = V112470 + 1. assign V486668 = V606355 + 1. assign V926659 = V101070. assign V968641 = V112470 - 1. assign V320902 = V279334. assign V056392 = V783437 + 1. assign V295868 = V342982 + 1. assign V134206 = V985898. assign V407621 = V199635 - 1. assign V404319 = V843796 - 1. assign V193544 = V127064 + 1. assign V098079 = V891363 - 1. assign V711984 = V544675 - 1. assign V537954 = V700188 + 1. assign V497741 = V332992 - 1. assign V694882 = V129533 + 1. assign V066774 = V850885 - 1. assign V681858 = V368212 - 1. assign V606355 = V104260. assign V861499 = V412980 - 1. assign V140364 = V007689 - 1. assign V164780 = V318872. assign V165690 = V721805. assign V594387 = V493472 - 1. assign V312263 = V112470. assign V909883 = V268214. assign V260409 = V934149 - 1. assign V472207 = V537954 + 1. assign V694639 = V000900 + 1. assign V499565 = V129768 - 1. assign V564955 = V467477 - 1. assign V565884 = V312263 - 1. assign V103281 = V362858 - 1. assign V900771 = V534987 + 1. assign V553186 = V805953 - 1. assign V452645 = V023410 + 1. assign V843104 = V624778. assign V855380 = V850885. assign V225349 = V199635 + 1. assign V039882 = V891363. assign V596883 = V293176 - 1. assign V811250 = V624869. assign V364352 = V059748. assign V997820 = V407621 + 1. assign V825885 = V911912. assign V594442 = V953572 - 1. assign V813259 = V199332. assign V866611 = V491054 + 1. assign V936931 = V985898 + 1. assign V108882 = V412401. assign V551013 = V930191 - 1. assign V096381 = V359346. assign V116062 = V039882 - 1. assign V279334 = V359346 - 1. assign V593578 = V315389. assign V339128 = V680139 - 1. assign V003307 = V929164 - 1. assign V371749 = V800286 + 1. assign V332510 = V913160 + 1. assign V033313 = V660125 - 1. assign V784520 = V775374 + 1. assign V209676 = V891363 - 1. assign V396563 = V478256 + 1. assign V176764 = V268214 - 1. assign V491054 = V209676 + 1. assign V049437 = V629358. assign V362858 = V925968 + 1. assign V395452 = V836527 - 1. assign V359346 = V011585 + 1. assign V196670 = V624869 + 1. assign V764006 = V795948. assign V394522 = V629358 - 1. assign V011585 = V795948. assign V642108 = V499491 - 1. assign V288380 = V157441. assign V008801 = V855380 + 1. assign V798638 = V412401 - 1. assign V455800 = V347229 + 1. assign V784255 = V225349 + 1. assign V546440 = V506017 - 1. assign V208021 = V624778 - 1. assign V444543 = V364004 - 1. assign V641790 = V491054. assign V550667 = V539933 - 1. assign V188641 = V836995 + 1. assign V721805 = V161901 + 1. assign V741540 = V127064. assign V469103 = V909883. assign V828317 = V638723. assign V777825 = V462511 + 1. assign V800286 = V834289 + 1. assign V440318 = V581613 - 1. assign V199332 = V574634 - 1. assign V581613 = V660125. assign V900435 = V008801 + 1. assign V473797 = V359346 - 1. assign V285211 = V412980 - 1. assign V805953 = V005526 + 1. assign V196076 = V295868 - 1. assign V810290 = V800286 - 1. assign V181998 = V000900 + 1. assign V731648 = V784520 + 1. assign V121178 = V136844. assign V332992 = V023410 - 1. assign V766279 = V168822 + 1. assign V412980 = V324367. assign V474686 = V707022. assign V097648 = V364352 + 1. assign V720939 = V490304 + 1. assign V387630 = V288380. assign V241826 = V756297. assign V478256 = V161901 + 1. assign V930191 = V339128 + 1. assign V891268 = V241826 + 1. assign V503948 = V010799 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV680139 = 7;\n\nFrom these direct assignment(s), we have: \nV339128 = V680139 - 1 = 7 - 1 =6;\nV930191 = V339128 + 1 = 6 + 1 =7;\nV551013 = V930191 - 1 = 7 - 1 =6;\nV628987 = V551013 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V628987;\nNo other varaibles can be derived from V551013;\nNo other varaibles can be derived from V930191;\nV591667 = V339128 = 6;\nNo other varaibles can be derived from V591667;\nV000900 = V339128 + 1 = 6 + 1 =7;\nV181998 = V000900 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V181998;\nV694639 = V000900 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V694639;\nNo other varaibles can be derived from V000900;\nNo other varaibles can be derived from V339128;\nV886048 = V680139 = 7;\nNo other varaibles can be derived from V886048;\nNo other varaibles can be derived from V680139;\n\nNow we have done all the calculations. Derived variables are:\nV680139 = 7;\nV339128 = 6;\nV930191 = 7;\nV551013 = 6;\nV628987 = 7;\nV591667 = 6;\nV000900 = 7;\nV181998 = 8;\nV694639 = 8;\nV886048 = 7;\n\nNow we have finished this problem. ANSWER:\nV181998, V694639\n", "role": "assistant" } ]

[ "V165631", "V790042" ]

[ { "content": "<context>\nassign V676259 = V409856 - 1. assign V497841 = V577332 - 1. assign V082154 = V651637 + 1. assign V462101 = V750793. assign V110686 = V893214. assign V515870 = V426305 + 1. assign V868775 = V572793 - 1. assign V703440 = V368621 - 1. assign V775031 = V257059 + 1. assign V750793 = V873375 - 1. assign V202024 = V514772 - 1. assign V183943 = V788439 + 1. assign V090632 = V754781 - 1. assign V139781 = V439104 + 1. assign V958118 = V889155 + 1. assign V829208 = V210748 + 1. assign V952568 = V257059 + 1. assign V767935 = V325950. assign V677080 = V202024 - 1. assign V402786 = V011090 - 1. assign V216973 = V422362. assign V881222 = V126989 - 1. assign V836870 = V497614 - 1. assign V942393 = V113497 + 1. assign V381613 = V090632 + 1. assign V092599 = V247133 + 1. assign V564359 = V511528 + 1. assign V029453 = V695323. assign V881473 = V414146 - 1. assign V189793 = V339462 - 1. assign V368621 = V705288 - 1. assign V414711 = V496689. assign V637216 = V584760 + 1. assign V222053 = V367821 + 1. assign V554909 = V257059 - 1. assign V316690 = V180563 + 1. assign V935410 = V093583 - 1. assign V426290 = V110545 + 1. assign V118294 = V587642. assign V334983 = V682760. assign V876850 = V238706 + 1. assign V846771 = V874332 - 1. assign V935493 = V093225. assign V165631 = V054577 + 1. assign V247133 = V011090 - 1. assign V184724 = V562894. assign V137926 = V255002. assign V803923 = V029360 - 1. assign V644319 = V493300 + 1. assign V876792 = V801383 - 1. assign V735211 = V800245 - 1. assign V903195 = V918745 - 1. assign V854497 = V339462 - 1. assign V528050 = V651637. assign V369972 = V493300 - 1. assign V001596 = V017345 + 1. assign V387330 = V324982. assign V678876 = V350678 - 1. assign V928160 = V445729 + 1. assign V562894 = V651637. assign V506132 = V414146. assign V017345 = V202024. assign V351757 = V398419 + 1. assign V105643 = V998222. assign V728895 = V687461 - 1. assign V584875 = V939945 - 1. assign V978220 = V152870. assign V816845 = V319107 - 1. assign V808190 = V286680 + 1. assign V900189 = V409856 + 1. assign V910982 = V554909 - 1. assign V856915 = V093225 - 1. assign V577017 = V493300 + 1. assign V889155 = V014219. assign V376053 = V993854 + 1. assign V496689 = V695323 + 1. assign V724228 = V819269 - 1. assign V147621 = V528050 + 1. assign V331830 = V350678 + 1. assign V214676 = V708997 + 1. assign V937123 = V093225. assign V532381 = V423425 + 1. assign V439104 = V935493 + 1. assign V572783 = V184724 - 1. assign V300081 = V892855 - 1. assign V324982 = V093225. assign V392576 = V216973. assign V941268 = V939945. assign V939297 = V014219 - 1. assign V493300 = V398419. assign V267626 = V339462. assign V143688 = V794585. assign V557448 = V074998. assign V561012 = V993854 - 1. assign V504637 = V998222 - 1. assign V058246 = V881222. assign V452808 = V013375 - 1. assign V043001 = V110545. assign V410019 = V698126. assign V870941 = V892855. assign V095185 = V238706 - 1. assign V093225 = V105643 + 1. assign V426477 = V413859 + 1. assign V059843 = V117140 - 1. assign V157293 = V392576 - 1. assign V251858 = V288464 - 1. assign V409856 = V463336 + 1. assign V711039 = V029360. assign V165449 = V575248 - 1. assign V247257 = V572899 + 1. assign V391045 = V676259 - 1. assign V054577 = 9. assign V836164 = V856915. assign V011090 = V768120 + 1. assign V730655 = V011090 - 1. assign V993915 = V134455. assign V266568 = V245446 - 1. assign V851171 = V126989. assign V497614 = V054577 - 1. assign V819020 = V948183 - 1. assign V464729 = V562894 + 1. assign V580643 = V550121. assign V679773 = V017345 - 1. assign V955778 = V735211 - 1. assign V587642 = V463336 + 1. assign V933077 = V876792 + 1. assign V014294 = V325950 - 1. assign V426305 = V351757 + 1. assign V301820 = V619994. assign V575248 = V351757 - 1. assign V670235 = V392576 + 1. assign V528910 = V584875 + 1. assign V804764 = V398419 + 1. assign V800245 = V695323 - 1. assign V417714 = V584760. assign V307694 = V216973 - 1. assign V430363 = V869458 + 1. assign V863271 = V212139. assign V874332 = V013375. assign V687461 = V243333 + 1. assign V137194 = V784975 - 1. assign V621687 = V816324 + 1. assign V110545 = V167323 + 1. assign V788439 = V804764 + 1. assign V238587 = V484894 - 1. assign V249978 = V031388. assign V790486 = V024207 + 1. assign V288464 = V497841. assign V893214 = V296851. assign V439968 = V515870 + 1. assign V916094 = V380983 - 1. assign V994180 = V093225. assign V619994 = V051035 - 1. assign V428323 = V398419. assign V941644 = V331830 - 1. assign V319107 = V351757 + 1. assign V014565 = V238706 + 1. assign V225684 = V093225 - 1. assign V892855 = V414146 + 1. assign V225662 = V575248. assign V624838 = V216973. assign V271528 = V784975. assign V033766 = V532381 - 1. assign V031388 = V678876 + 1. assign V904819 = V093583 - 1. assign V653543 = V939945. assign V474334 = V331830 + 1. assign V243333 = V474334 + 1. assign V735817 = V202024. assign V029360 = V816845. assign V414146 = V398419. assign V913537 = V028125. assign V791494 = V881473 - 1. assign V220569 = V331830 - 1. assign V160215 = V544027 - 1. assign V154002 = V382583. assign V367821 = V113497 - 1. assign V671049 = V503939 - 1. assign V874445 = V398419. assign V422362 = V409856. assign V212139 = V339462 - 1. assign V660818 = V958118 + 1. assign V683162 = V874445 - 1. assign V477283 = V459411 - 1. assign V074998 = V319107 + 1. assign V350678 = V804764. assign V955667 = V791494 - 1. assign V062796 = V804764. assign V314360 = V238706. assign V348390 = V093225 + 1. assign V124139 = V014219 + 1. assign V296851 = V851171 + 1. assign V053685 = V092599. assign V051035 = V784975 - 1. assign V255002 = V167323 - 1. assign V087694 = V368621. assign V117140 = V137926 + 1. assign V109839 = V939182. assign V873375 = V528050 + 1. assign V801383 = V695323 + 1. assign V302424 = V784975 - 1. assign V152870 = V868775 + 1. assign V241338 = V503939 + 1. assign V463336 = V998222 + 1. assign V939945 = V319107. assign V203609 = V889155 + 1. assign V557891 = V087694 - 1. assign V776133 = V257059. assign V669261 = V288464. assign V120907 = V105643 - 1. assign V948183 = V054577. assign V184073 = V800245. assign V369800 = V496689. assign V445729 = V698126 + 1. assign V380983 = V869458. assign V459411 = V496689 + 1. assign V008289 = V868775 - 1. assign V371145 = V110545 - 1. assign V768120 = V881473 + 1. assign V572793 = V267626 + 1. assign V238706 = V474334 - 1. assign V113497 = V503939 - 1. assign V950223 = V178211. assign V511528 = V730655. assign V037681 = V134455 + 1. assign V024207 = V952568 + 1. assign V167323 = V463336. assign V095054 = V695323. assign V095721 = V575248. assign V268527 = V580643 + 1. assign V304459 = V417714. assign V754781 = V423425 + 1. assign V847319 = V580643 - 1. assign V461063 = V870465. assign V503939 = V180563 - 1. assign V572899 = V331830. assign V485358 = V768120 + 1. assign V527792 = V147621. assign V423425 = V601235. assign V611782 = V082154 - 1. assign V149618 = V587642. assign V228267 = V993854 + 1. assign V946153 = V255002. assign V052135 = V730655. assign V178211 = V572793 + 1. assign V310929 = V503939 - 1. assign V932115 = V238706 + 1. assign V019086 = V504637. assign V438875 = V577332 - 1. assign V484894 = V735817 - 1. assign V505315 = V869458 + 1. assign V131834 = V695323. assign V353954 = V051035. assign V663605 = V939945. assign V180563 = V651637 - 1. assign V075759 = V916094 - 1. assign V394534 = V271528 - 1. assign V698126 = V800245 - 1. assign V024381 = V819020. assign V233262 = V948183. assign V682760 = V801383. assign V785601 = V212139 + 1. assign V347325 = V861061. assign V918745 = V087694 + 1. assign V870465 = V225662. assign V134455 = V409856 - 1. assign V794585 = V369972 - 1. assign V558806 = V493300 - 1. assign V257059 = V998222. assign V577332 = V238706. assign V703901 = V768120 - 1. assign V382583 = V105643 - 1. assign V970282 = V092599. assign V816324 = V514772 + 1. assign V755453 = V154002. assign V219372 = V245446 + 1. assign V861061 = V212139. assign V054374 = V970282 - 1. assign V605152 = V124139 + 1. assign V552054 = V735817 + 1. assign V695323 = V014219. assign V708997 = V126989. assign V662141 = V932633. assign V126989 = V804764 + 1. assign V078255 = V216973. assign V662685 = V445729. assign V084453 = V583513 + 1. assign V317065 = V544027. assign V096639 = V536833 - 1. assign V567993 = V662141. assign V973781 = V856915 + 1. assign V093583 = V452481 - 1. assign V511742 = V705288. assign V241851 = V580643 + 1. assign V210748 = V426477. assign V597763 = V575248 + 1. assign V374043 = V536833 - 1. assign V649381 = V939182 - 1. assign V784975 = V856915. assign V273937 = V669261 + 1. assign V406539 = V165631 - 1. assign V413859 = V409856 - 1. assign V047557 = V463336 + 1. assign V550121 = V422362 - 1. assign V013375 = V314360 + 1. assign V353006 = V093225 - 1. assign V790042 = V406539 + 1. assign V819269 = V220569. assign V125020 = V577332 - 1. assign V231680 = V939182. assign V306129 = V394534 + 1. assign V735488 = V220569 - 1. assign V080133 = V735211. assign V993854 = V014219 - 1. assign V732397 = V124139 + 1. assign V630177 = V339462. assign V992158 = V202024 - 1. assign V583513 = V868775 + 1. assign V981866 = V485358 - 1. assign V012602 = V873375 - 1. assign V014219 = V202024 + 1. assign V815278 = V669261 - 1. assign V483804 = V348390 - 1. assign V705288 = V992158 - 1. assign V325950 = V376053 - 1. assign V868638 = V391045. assign V536833 = V426305. assign V701657 = V897551 - 1. assign V269081 = V120907. assign V028125 = V391045. assign V286680 = V368621 + 1. assign V998222 = V350678 - 1. assign V584760 = V463336 - 1. assign V651637 = V889155 - 1. assign V544027 = V873375 + 1. assign V897551 = V093225 - 1. assign V245446 = V856915 - 1. assign V514772 = V350678 - 1. assign V939182 = V572899 - 1. assign V540767 = V220569 - 1. assign V869458 = V544027. assign V613045 = V577332 + 1. assign V050484 = V052135. assign V096746 = V353006 + 1. assign V515464 = V216973 + 1. assign V875929 = V414146. assign V339462 = V998222 - 1. assign V932633 = V540767 - 1. assign V601235 = V514772. assign V452481 = V316690 - 1. assign V387006 = V854497.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V676259 = V409856 - 1. assign V497841 = V577332 - 1. assign V082154 = V651637 + 1. assign V462101 = V750793. assign V110686 = V893214. assign V515870 = V426305 + 1. assign V868775 = V572793 - 1. assign V703440 = V368621 - 1. assign V775031 = V257059 + 1. assign V750793 = V873375 - 1. assign V202024 = V514772 - 1. assign V183943 = V788439 + 1. assign V090632 = V754781 - 1. assign V139781 = V439104 + 1. assign V958118 = V889155 + 1. assign V829208 = V210748 + 1. assign V952568 = V257059 + 1. assign V767935 = V325950. assign V677080 = V202024 - 1. assign V402786 = V011090 - 1. assign V216973 = V422362. assign V881222 = V126989 - 1. assign V836870 = V497614 - 1. assign V942393 = V113497 + 1. assign V381613 = V090632 + 1. assign V092599 = V247133 + 1. assign V564359 = V511528 + 1. assign V029453 = V695323. assign V881473 = V414146 - 1. assign V189793 = V339462 - 1. assign V368621 = V705288 - 1. assign V414711 = V496689. assign V637216 = V584760 + 1. assign V222053 = V367821 + 1. assign V554909 = V257059 - 1. assign V316690 = V180563 + 1. assign V935410 = V093583 - 1. assign V426290 = V110545 + 1. assign V118294 = V587642. assign V334983 = V682760. assign V876850 = V238706 + 1. assign V846771 = V874332 - 1. assign V935493 = V093225. assign V165631 = V054577 + 1. assign V247133 = V011090 - 1. assign V184724 = V562894. assign V137926 = V255002. assign V803923 = V029360 - 1. assign V644319 = V493300 + 1. assign V876792 = V801383 - 1. assign V735211 = V800245 - 1. assign V903195 = V918745 - 1. assign V854497 = V339462 - 1. assign V528050 = V651637. assign V369972 = V493300 - 1. assign V001596 = V017345 + 1. assign V387330 = V324982. assign V678876 = V350678 - 1. assign V928160 = V445729 + 1. assign V562894 = V651637. assign V506132 = V414146. assign V017345 = V202024. assign V351757 = V398419 + 1. assign V105643 = V998222. assign V728895 = V687461 - 1. assign V584875 = V939945 - 1. assign V978220 = V152870. assign V816845 = V319107 - 1. assign V808190 = V286680 + 1. assign V900189 = V409856 + 1. assign V910982 = V554909 - 1. assign V856915 = V093225 - 1. assign V577017 = V493300 + 1. assign V889155 = V014219. assign V376053 = V993854 + 1. assign V496689 = V695323 + 1. assign V724228 = V819269 - 1. assign V147621 = V528050 + 1. assign V331830 = V350678 + 1. assign V214676 = V708997 + 1. assign V937123 = V093225. assign V532381 = V423425 + 1. assign V439104 = V935493 + 1. assign V572783 = V184724 - 1. assign V300081 = V892855 - 1. assign V324982 = V093225. assign V392576 = V216973. assign V941268 = V939945. assign V939297 = V014219 - 1. assign V493300 = V398419. assign V267626 = V339462. assign V143688 = V794585. assign V557448 = V074998. assign V561012 = V993854 - 1. assign V504637 = V998222 - 1. assign V058246 = V881222. assign V452808 = V013375 - 1. assign V043001 = V110545. assign V410019 = V698126. assign V870941 = V892855. assign V095185 = V238706 - 1. assign V093225 = V105643 + 1. assign V426477 = V413859 + 1. assign V059843 = V117140 - 1. assign V157293 = V392576 - 1. assign V251858 = V288464 - 1. assign V409856 = V463336 + 1. assign V711039 = V029360. assign V165449 = V575248 - 1. assign V247257 = V572899 + 1. assign V391045 = V676259 - 1. assign V054577 = 9. assign V836164 = V856915. assign V011090 = V768120 + 1. assign V730655 = V011090 - 1. assign V993915 = V134455. assign V266568 = V245446 - 1. assign V851171 = V126989. assign V497614 = V054577 - 1. assign V819020 = V948183 - 1. assign V464729 = V562894 + 1. assign V580643 = V550121. assign V679773 = V017345 - 1. assign V955778 = V735211 - 1. assign V587642 = V463336 + 1. assign V933077 = V876792 + 1. assign V014294 = V325950 - 1. assign V426305 = V351757 + 1. assign V301820 = V619994. assign V575248 = V351757 - 1. assign V670235 = V392576 + 1. assign V528910 = V584875 + 1. assign V804764 = V398419 + 1. assign V800245 = V695323 - 1. assign V417714 = V584760. assign V307694 = V216973 - 1. assign V430363 = V869458 + 1. assign V863271 = V212139. assign V874332 = V013375. assign V687461 = V243333 + 1. assign V137194 = V784975 - 1. assign V621687 = V816324 + 1. assign V110545 = V167323 + 1. assign V788439 = V804764 + 1. assign V238587 = V484894 - 1. assign V249978 = V031388. assign V790486 = V024207 + 1. assign V288464 = V497841. assign V893214 = V296851. assign V439968 = V515870 + 1. assign V916094 = V380983 - 1. assign V994180 = V093225. assign V619994 = V051035 - 1. assign V428323 = V398419. assign V941644 = V331830 - 1. assign V319107 = V351757 + 1. assign V014565 = V238706 + 1. assign V225684 = V093225 - 1. assign V892855 = V414146 + 1. assign V225662 = V575248. assign V624838 = V216973. assign V271528 = V784975. assign V033766 = V532381 - 1. assign V031388 = V678876 + 1. assign V904819 = V093583 - 1. assign V653543 = V939945. assign V474334 = V331830 + 1. assign V243333 = V474334 + 1. assign V735817 = V202024. assign V029360 = V816845. assign V414146 = V398419. assign V913537 = V028125. assign V791494 = V881473 - 1. assign V220569 = V331830 - 1. assign V160215 = V544027 - 1. assign V154002 = V382583. assign V367821 = V113497 - 1. assign V671049 = V503939 - 1. assign V874445 = V398419. assign V422362 = V409856. assign V212139 = V339462 - 1. assign V660818 = V958118 + 1. assign V683162 = V874445 - 1. assign V477283 = V459411 - 1. assign V074998 = V319107 + 1. assign V350678 = V804764. assign V955667 = V791494 - 1. assign V062796 = V804764. assign V314360 = V238706. assign V348390 = V093225 + 1. assign V124139 = V014219 + 1. assign V296851 = V851171 + 1. assign V053685 = V092599. assign V051035 = V784975 - 1. assign V255002 = V167323 - 1. assign V087694 = V368621. assign V117140 = V137926 + 1. assign V109839 = V939182. assign V873375 = V528050 + 1. assign V801383 = V695323 + 1. assign V302424 = V784975 - 1. assign V152870 = V868775 + 1. assign V241338 = V503939 + 1. assign V463336 = V998222 + 1. assign V939945 = V319107. assign V203609 = V889155 + 1. assign V557891 = V087694 - 1. assign V776133 = V257059. assign V669261 = V288464. assign V120907 = V105643 - 1. assign V948183 = V054577. assign V184073 = V800245. assign V369800 = V496689. assign V445729 = V698126 + 1. assign V380983 = V869458. assign V459411 = V496689 + 1. assign V008289 = V868775 - 1. assign V371145 = V110545 - 1. assign V768120 = V881473 + 1. assign V572793 = V267626 + 1. assign V238706 = V474334 - 1. assign V113497 = V503939 - 1. assign V950223 = V178211. assign V511528 = V730655. assign V037681 = V134455 + 1. assign V024207 = V952568 + 1. assign V167323 = V463336. assign V095054 = V695323. assign V095721 = V575248. assign V268527 = V580643 + 1. assign V304459 = V417714. assign V754781 = V423425 + 1. assign V847319 = V580643 - 1. assign V461063 = V870465. assign V503939 = V180563 - 1. assign V572899 = V331830. assign V485358 = V768120 + 1. assign V527792 = V147621. assign V423425 = V601235. assign V611782 = V082154 - 1. assign V149618 = V587642. assign V228267 = V993854 + 1. assign V946153 = V255002. assign V052135 = V730655. assign V178211 = V572793 + 1. assign V310929 = V503939 - 1. assign V932115 = V238706 + 1. assign V019086 = V504637. assign V438875 = V577332 - 1. assign V484894 = V735817 - 1. assign V505315 = V869458 + 1. assign V131834 = V695323. assign V353954 = V051035. assign V663605 = V939945. assign V180563 = V651637 - 1. assign V075759 = V916094 - 1. assign V394534 = V271528 - 1. assign V698126 = V800245 - 1. assign V024381 = V819020. assign V233262 = V948183. assign V682760 = V801383. assign V785601 = V212139 + 1. assign V347325 = V861061. assign V918745 = V087694 + 1. assign V870465 = V225662. assign V134455 = V409856 - 1. assign V794585 = V369972 - 1. assign V558806 = V493300 - 1. assign V257059 = V998222. assign V577332 = V238706. assign V703901 = V768120 - 1. assign V382583 = V105643 - 1. assign V970282 = V092599. assign V816324 = V514772 + 1. assign V755453 = V154002. assign V219372 = V245446 + 1. assign V861061 = V212139. assign V054374 = V970282 - 1. assign V605152 = V124139 + 1. assign V552054 = V735817 + 1. assign V695323 = V014219. assign V708997 = V126989. assign V662141 = V932633. assign V126989 = V804764 + 1. assign V078255 = V216973. assign V662685 = V445729. assign V084453 = V583513 + 1. assign V317065 = V544027. assign V096639 = V536833 - 1. assign V567993 = V662141. assign V973781 = V856915 + 1. assign V093583 = V452481 - 1. assign V511742 = V705288. assign V241851 = V580643 + 1. assign V210748 = V426477. assign V597763 = V575248 + 1. assign V374043 = V536833 - 1. assign V649381 = V939182 - 1. assign V784975 = V856915. assign V273937 = V669261 + 1. assign V406539 = V165631 - 1. assign V413859 = V409856 - 1. assign V047557 = V463336 + 1. assign V550121 = V422362 - 1. assign V013375 = V314360 + 1. assign V353006 = V093225 - 1. assign V790042 = V406539 + 1. assign V819269 = V220569. assign V125020 = V577332 - 1. assign V231680 = V939182. assign V306129 = V394534 + 1. assign V735488 = V220569 - 1. assign V080133 = V735211. assign V993854 = V014219 - 1. assign V732397 = V124139 + 1. assign V630177 = V339462. assign V992158 = V202024 - 1. assign V583513 = V868775 + 1. assign V981866 = V485358 - 1. assign V012602 = V873375 - 1. assign V014219 = V202024 + 1. assign V815278 = V669261 - 1. assign V483804 = V348390 - 1. assign V705288 = V992158 - 1. assign V325950 = V376053 - 1. assign V868638 = V391045. assign V536833 = V426305. assign V701657 = V897551 - 1. assign V269081 = V120907. assign V028125 = V391045. assign V286680 = V368621 + 1. assign V998222 = V350678 - 1. assign V584760 = V463336 - 1. assign V651637 = V889155 - 1. assign V544027 = V873375 + 1. assign V897551 = V093225 - 1. assign V245446 = V856915 - 1. assign V514772 = V350678 - 1. assign V939182 = V572899 - 1. assign V540767 = V220569 - 1. assign V869458 = V544027. assign V613045 = V577332 + 1. assign V050484 = V052135. assign V096746 = V353006 + 1. assign V515464 = V216973 + 1. assign V875929 = V414146. assign V339462 = V998222 - 1. assign V932633 = V540767 - 1. assign V601235 = V514772. assign V452481 = V316690 - 1. assign V387006 = V854497.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV054577 = 9;\n\nFrom these direct assignment(s), we have: \nV948183 = V054577 = 9;\nV233262 = V948183 = 9;\nNo other varaibles can be derived from V233262;\nV819020 = V948183 - 1 = 9 - 1 =8;\nV024381 = V819020 = 8;\nNo other varaibles can be derived from V024381;\nNo other varaibles can be derived from V819020;\nNo other varaibles can be derived from V948183;\nV497614 = V054577 - 1 = 9 - 1 =8;\nV836870 = V497614 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V836870;\nNo other varaibles can be derived from V497614;\nV165631 = V054577 + 1 = 9 + 1 =10;\nV406539 = V165631 - 1 = 10 - 1 =9;\nV790042 = V406539 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V790042;\nNo other varaibles can be derived from V406539;\nNo other varaibles can be derived from V165631;\nNo other varaibles can be derived from V054577;\n\nNow we have done all the calculations. Derived variables are:\nV054577 = 9;\nV948183 = 9;\nV233262 = 9;\nV819020 = 8;\nV024381 = 8;\nV497614 = 8;\nV836870 = 7;\nV165631 = 10;\nV406539 = 9;\nV790042 = 10;\n\nNow we have finished this problem. ANSWER:\nV165631, V790042\n", "role": "assistant" } ]

[ "V286547", "V462884", "V698196" ]

[ { "content": "<context>\nassign V642631 = V483288 + 1. assign V635774 = V558544. assign V206879 = V325020 - 1. assign V919664 = V597675 + 1. assign V224310 = V375211. assign V277599 = V475324. assign V510953 = V807153. assign V713256 = V222850 + 1. assign V014255 = V355784. assign V903731 = V651119. assign V346564 = V107602 + 1. assign V888354 = V882485. assign V572622 = V279918 + 1. assign V396071 = V807153. assign V977406 = V712334 + 1. assign V869255 = V807153 + 1. assign V778894 = V954580. assign V060798 = V551133 - 1. assign V952575 = V170913 + 1. assign V124967 = V792486 - 1. assign V070222 = V480297. assign V554767 = V338024 - 1. assign V780245 = V947244. assign V500572 = V375211 - 1. assign V525178 = V470686 - 1. assign V636617 = V783667 + 1. assign V902926 = V714349 + 1. assign V719552 = V647374 - 1. assign V310680 = V816094 + 1. assign V807153 = V245867. assign V565489 = V714349 + 1. assign V528545 = V375211 + 1. assign V893962 = V974227 + 1. assign V937904 = V493939. assign V316456 = V182489. assign V704206 = V643341 - 1. assign V980655 = V938412. assign V470686 = V369811 + 1. assign V010497 = V515740 - 1. assign V426400 = V470686. assign V057961 = V426400 + 1. assign V138372 = V134776 + 1. assign V286547 = 0. assign V262189 = V946831 - 1. assign V423961 = V900058. assign V406981 = V797345 + 1. assign V703249 = V222850 + 1. assign V326017 = V096665. assign V819229 = V010497 - 1. assign V892990 = V279918. assign V200454 = V769049 - 1. assign V869241 = V597675 + 1. assign V714349 = V500371 - 1. assign V805869 = V290378. assign V994896 = V203131 + 1. assign V698196 = V286547. assign V807836 = V714349 - 1. assign V937012 = V713256 - 1. assign V060222 = V004233 - 1. assign V383477 = V277599 - 1. assign V101900 = V900058 - 1. assign V880189 = V422596 + 1. assign V464810 = V238483 + 1. assign V946831 = V714349 - 1. assign V342249 = V858833 - 1. assign V684260 = V743028 - 1. assign V882953 = V470686 - 1. assign V310939 = V216995 - 1. assign V237794 = V526442 - 1. assign V203131 = V216995. assign V245867 = V057961 - 1. assign V290378 = V310939. assign V513709 = V101900. assign V014303 = V681039. assign V462884 = V719796 - 1. assign V900058 = V328937 - 1. assign V970191 = V651119 + 1. assign V424586 = V515034. assign V015046 = V458922 + 1. assign V783667 = V369811 - 1. assign V679164 = V413002 + 1. assign V702263 = V405845 + 1. assign V026681 = V792486 + 1. assign V333831 = V096665 + 1. assign V896332 = V954580 - 1. assign V551133 = V495769. assign V304347 = V500708 - 1. assign V676195 = V603215 + 1. assign V348529 = V475324 + 1. assign V704586 = V423961 + 1. assign V212190 = V733135. assign V523798 = V245867 - 1. assign V413852 = V404255. assign V884724 = V714737. assign V808824 = V342559 - 1. assign V790593 = V791296 - 1. assign V137064 = V495769 + 1. assign V997111 = V096665 + 1. assign V096665 = V993015 + 1. assign V265279 = V947244 - 1. assign V342559 = V780245. assign V325020 = V312039. assign V126627 = V991165 - 1. assign V269947 = V426400. assign V187204 = V616256 + 1. assign V913422 = V526442 - 1. assign V768344 = V773695 + 1. assign V061595 = V500572 - 1. assign V426285 = V500371 - 1. assign V405845 = V937904 + 1. assign V238223 = V780245. assign V791296 = V409065. assign V962110 = V084523 - 1. assign V347703 = V369811 - 1. assign V938412 = V070222 + 1. assign V204473 = V206879 + 1. assign V991165 = V500708 + 1. assign V172949 = V980655 + 1. assign V882485 = V375211 - 1. assign V858180 = V597675. assign V776802 = V858180 + 1. assign V202318 = V124967 + 1. assign V700014 = V462884 + 1. assign V954580 = V470686. assign V974227 = V913422. assign V453471 = V531424 - 1. assign V422596 = V651119 - 1. assign V503435 = V426400 + 1. assign V643341 = V973949 - 1. assign V238483 = V413002 + 1. assign V151220 = V952575 + 1. assign V707688 = V222850 + 1. assign V500708 = V993015 - 1. assign V961740 = V660298 - 1. assign V426902 = V438167 + 1. assign V769049 = V871061 - 1. assign V361535 = V101900 + 1. assign V999826 = V955883 + 1. assign V099931 = V070575. assign V851095 = V182489. assign V858833 = V792799 - 1. assign V501145 = V126993. assign V481563 = V819229 - 1. assign V483288 = V483734. assign V091904 = V768344 - 1. assign V573263 = V900391. assign V878000 = V269947 - 1. assign V004233 = V947244 - 1. assign V206712 = V707609 + 1. assign V028125 = V151220 - 1. assign V055432 = V275448 + 1. assign V493939 = V245867 - 1. assign V279918 = V423187. assign V186479 = V966066 - 1. assign V216995 = V480297 - 1. assign V487766 = V647374 - 1. assign V938943 = V647374. assign V052942 = V896332. assign V224452 = V014303 + 1. assign V797345 = V245867 - 1. assign V460575 = V584671 - 1. assign V536788 = V635774. assign V624532 = V952575 + 1. assign V773695 = V260137 - 1. assign V107602 = V224452 + 1. assign V598668 = V973949. assign V201605 = V510953 - 1. assign V222850 = V216995 + 1. assign V185677 = V028125 + 1. assign V068303 = V375211. assign V044754 = V579082 + 1. assign V485971 = V119911 - 1. assign V647979 = V903731 - 1. assign V707609 = V328937 + 1. assign V973219 = V314134 + 1. assign V933961 = V584671. assign V351578 = V422596. assign V500371 = V269947. assign V182489 = V858180. assign V373063 = V200454. assign V513462 = V776802. assign V300132 = V014303 + 1. assign V056356 = V260137 + 1. assign V865159 = V535016 - 1. assign V478060 = V224452 + 1. assign V097299 = V954580 + 1. assign V458922 = V056451 - 1. assign V584671 = V269947. assign V847928 = V435149 + 1. assign V804843 = V681039. assign V084523 = V643341. assign V271258 = V896332 - 1. assign V274642 = V351578 - 1. assign V491306 = V616256 - 1. assign V435149 = V597675 - 1. assign V258351 = V947244. assign V359406 = V900058. assign V244561 = V201605 + 1. assign V714737 = V014534. assign V487875 = V913422 - 1. assign V222167 = V900058. assign V134776 = V584671. assign V466367 = V882485. assign V480297 = V535016 + 1. assign V007243 = V491306 + 1. assign V963040 = V790593 + 1. assign V080339 = V260137 + 1. assign V122302 = V460575. assign V273724 = V689833. assign V647374 = V328937 - 1. assign V871061 = V216995 + 1. assign V597963 = V222850 + 1. assign V060373 = V500572 - 1. assign V720069 = V470686. assign V404255 = V900391 + 1. assign V526442 = V954580 - 1. assign V422440 = V604915 - 1. assign V719796 = V286547 + 1. assign V014534 = V993015. assign V976445 = V584671 + 1. assign V616256 = V014534 - 1. assign V338024 = V309935 - 1. assign V866265 = V369811 + 1. assign V580356 = V245867 + 1. assign V314134 = V991165 - 1. assign V325955 = V896332 - 1. assign V681516 = V804843 + 1. assign V431978 = V014534 + 1. assign V528823 = V535016 - 1. assign V651119 = V792486 - 1. assign V604915 = V681039. assign V923676 = V942607 - 1. assign V533855 = V515034 + 1. assign V433834 = V807153 - 1. assign V657830 = V713256 - 1. assign V472003 = V182489 + 1. assign V309935 = V290378. assign V202947 = V426285 + 1. assign V709751 = V096665. assign V374897 = V819229 + 1. assign V709740 = V709751 + 1. assign V375211 = V480297 - 1. assign V340794 = V361535 - 1. assign V419006 = V783667 - 1. assign V681039 = V993015 + 1. assign V232635 = V000802. assign V864276 = V238483. assign V475324 = V938943. assign V423187 = V558544 - 1. assign V689833 = V750435 - 1. assign V579082 = V224452. assign V383308 = V487766 - 1. assign V531970 = V707609 + 1. assign V056451 = V286547 - 1. assign V996547 = V526442 + 1. assign V214010 = V080339 - 1. assign V218466 = V328937 + 1. assign V515034 = V347703 - 1. assign V623075 = V657830 - 1. assign V520756 = V947244. assign V788932 = V734567 + 1. assign V438167 = V597675 + 1. assign V281081 = V584671 + 1. assign V743028 = V187204. assign V973949 = V500371 - 1. assign V874002 = V791296 - 1. assign V531424 = V355784. assign V216821 = V734567 + 1. assign V312039 = V707609 - 1. assign V712334 = V882485 + 1. assign V126993 = V026681. assign V966066 = V783667 + 1. assign V766460 = V060373 + 1. assign V091940 = V657830 + 1. assign V047706 = V551133 + 1. assign V750435 = V938412. assign V466587 = V816094 + 1. assign V641534 = V126993 + 1. assign V355784 = V369811. assign V200036 = V597963 + 1. assign V239146 = V392952 - 1. assign V460335 = V733996. assign V413002 = V500371 - 1. assign V328937 = V535016. assign V495769 = V216995 - 1. assign V162312 = V304347. assign V816094 = V938943 + 1. assign V365928 = V819229. assign V409065 = V584671. assign V023364 = V707688 + 1. assign V287148 = V342249 - 1. assign V515740 = V584671. assign V530467 = V698196 + 1. assign V792799 = V355784 - 1. assign V392952 = V393932 + 1. assign V335892 = V222167 - 1. assign V260137 = V014303 + 1. assign V110690 = V026681. assign V027340 = V961740. assign V680986 = V260137 + 1. assign V013611 = V963040. assign V138243 = V864276. assign V021405 = V060373 + 1. assign V558939 = V423961 - 1. assign V855017 = V000802 + 1. assign V799244 = V126993 + 1. assign V565918 = V375908 + 1. assign V375908 = V664413 - 1. assign V592337 = V281081 - 1. assign V833563 = V010497 - 1. assign V603087 = V954580. assign V341597 = V807836. assign V850529 = V431978 - 1. assign V393932 = V993015. assign V369811 = V216995 - 1. assign V947244 = V792486 + 1. assign V642786 = V903731 + 1. assign V733135 = V816094. assign V998369 = V624532. assign V070575 = V681039 + 1. assign V218283 = V060373. assign V696320 = V201605. assign V441182 = V056451. assign V940722 = V475324 - 1. assign V275448 = V309935. assign V733996 = V643341 - 1. assign V000802 = V351578 - 1. assign V558544 = V216995. assign V037111 = V098268. assign V482473 = V325020. assign V330410 = V966066 - 1. assign V603215 = V526442 - 1. assign V734567 = V014303. assign V955883 = V495769 + 1. assign V901912 = V703249 - 1. assign V900391 = V453471 + 1. assign V771386 = V647374 - 1. assign V483734 = V375211. assign V098268 = V200454. assign V183562 = V816094 - 1. assign V597675 = V470686. assign V707596 = V771386 + 1. assign V660298 = V816094. assign V119911 = V554767. assign V170913 = V584671 + 1. assign V993015 = V216995 - 1. assign V126959 = V719552 - 1. assign V664413 = V999826. assign V344841 = V651119 - 1. assign V942607 = V604915. assign V792486 = V954580 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V642631 = V483288 + 1. assign V635774 = V558544. assign V206879 = V325020 - 1. assign V919664 = V597675 + 1. assign V224310 = V375211. assign V277599 = V475324. assign V510953 = V807153. assign V713256 = V222850 + 1. assign V014255 = V355784. assign V903731 = V651119. assign V346564 = V107602 + 1. assign V888354 = V882485. assign V572622 = V279918 + 1. assign V396071 = V807153. assign V977406 = V712334 + 1. assign V869255 = V807153 + 1. assign V778894 = V954580. assign V060798 = V551133 - 1. assign V952575 = V170913 + 1. assign V124967 = V792486 - 1. assign V070222 = V480297. assign V554767 = V338024 - 1. assign V780245 = V947244. assign V500572 = V375211 - 1. assign V525178 = V470686 - 1. assign V636617 = V783667 + 1. assign V902926 = V714349 + 1. assign V719552 = V647374 - 1. assign V310680 = V816094 + 1. assign V807153 = V245867. assign V565489 = V714349 + 1. assign V528545 = V375211 + 1. assign V893962 = V974227 + 1. assign V937904 = V493939. assign V316456 = V182489. assign V704206 = V643341 - 1. assign V980655 = V938412. assign V470686 = V369811 + 1. assign V010497 = V515740 - 1. assign V426400 = V470686. assign V057961 = V426400 + 1. assign V138372 = V134776 + 1. assign V286547 = 0. assign V262189 = V946831 - 1. assign V423961 = V900058. assign V406981 = V797345 + 1. assign V703249 = V222850 + 1. assign V326017 = V096665. assign V819229 = V010497 - 1. assign V892990 = V279918. assign V200454 = V769049 - 1. assign V869241 = V597675 + 1. assign V714349 = V500371 - 1. assign V805869 = V290378. assign V994896 = V203131 + 1. assign V698196 = V286547. assign V807836 = V714349 - 1. assign V937012 = V713256 - 1. assign V060222 = V004233 - 1. assign V383477 = V277599 - 1. assign V101900 = V900058 - 1. assign V880189 = V422596 + 1. assign V464810 = V238483 + 1. assign V946831 = V714349 - 1. assign V342249 = V858833 - 1. assign V684260 = V743028 - 1. assign V882953 = V470686 - 1. assign V310939 = V216995 - 1. assign V237794 = V526442 - 1. assign V203131 = V216995. assign V245867 = V057961 - 1. assign V290378 = V310939. assign V513709 = V101900. assign V014303 = V681039. assign V462884 = V719796 - 1. assign V900058 = V328937 - 1. assign V970191 = V651119 + 1. assign V424586 = V515034. assign V015046 = V458922 + 1. assign V783667 = V369811 - 1. assign V679164 = V413002 + 1. assign V702263 = V405845 + 1. assign V026681 = V792486 + 1. assign V333831 = V096665 + 1. assign V896332 = V954580 - 1. assign V551133 = V495769. assign V304347 = V500708 - 1. assign V676195 = V603215 + 1. assign V348529 = V475324 + 1. assign V704586 = V423961 + 1. assign V212190 = V733135. assign V523798 = V245867 - 1. assign V413852 = V404255. assign V884724 = V714737. assign V808824 = V342559 - 1. assign V790593 = V791296 - 1. assign V137064 = V495769 + 1. assign V997111 = V096665 + 1. assign V096665 = V993015 + 1. assign V265279 = V947244 - 1. assign V342559 = V780245. assign V325020 = V312039. assign V126627 = V991165 - 1. assign V269947 = V426400. assign V187204 = V616256 + 1. assign V913422 = V526442 - 1. assign V768344 = V773695 + 1. assign V061595 = V500572 - 1. assign V426285 = V500371 - 1. assign V405845 = V937904 + 1. assign V238223 = V780245. assign V791296 = V409065. assign V962110 = V084523 - 1. assign V347703 = V369811 - 1. assign V938412 = V070222 + 1. assign V204473 = V206879 + 1. assign V991165 = V500708 + 1. assign V172949 = V980655 + 1. assign V882485 = V375211 - 1. assign V858180 = V597675. assign V776802 = V858180 + 1. assign V202318 = V124967 + 1. assign V700014 = V462884 + 1. assign V954580 = V470686. assign V974227 = V913422. assign V453471 = V531424 - 1. assign V422596 = V651119 - 1. assign V503435 = V426400 + 1. assign V643341 = V973949 - 1. assign V238483 = V413002 + 1. assign V151220 = V952575 + 1. assign V707688 = V222850 + 1. assign V500708 = V993015 - 1. assign V961740 = V660298 - 1. assign V426902 = V438167 + 1. assign V769049 = V871061 - 1. assign V361535 = V101900 + 1. assign V999826 = V955883 + 1. assign V099931 = V070575. assign V851095 = V182489. assign V858833 = V792799 - 1. assign V501145 = V126993. assign V481563 = V819229 - 1. assign V483288 = V483734. assign V091904 = V768344 - 1. assign V573263 = V900391. assign V878000 = V269947 - 1. assign V004233 = V947244 - 1. assign V206712 = V707609 + 1. assign V028125 = V151220 - 1. assign V055432 = V275448 + 1. assign V493939 = V245867 - 1. assign V279918 = V423187. assign V186479 = V966066 - 1. assign V216995 = V480297 - 1. assign V487766 = V647374 - 1. assign V938943 = V647374. assign V052942 = V896332. assign V224452 = V014303 + 1. assign V797345 = V245867 - 1. assign V460575 = V584671 - 1. assign V536788 = V635774. assign V624532 = V952575 + 1. assign V773695 = V260137 - 1. assign V107602 = V224452 + 1. assign V598668 = V973949. assign V201605 = V510953 - 1. assign V222850 = V216995 + 1. assign V185677 = V028125 + 1. assign V068303 = V375211. assign V044754 = V579082 + 1. assign V485971 = V119911 - 1. assign V647979 = V903731 - 1. assign V707609 = V328937 + 1. assign V973219 = V314134 + 1. assign V933961 = V584671. assign V351578 = V422596. assign V500371 = V269947. assign V182489 = V858180. assign V373063 = V200454. assign V513462 = V776802. assign V300132 = V014303 + 1. assign V056356 = V260137 + 1. assign V865159 = V535016 - 1. assign V478060 = V224452 + 1. assign V097299 = V954580 + 1. assign V458922 = V056451 - 1. assign V584671 = V269947. assign V847928 = V435149 + 1. assign V804843 = V681039. assign V084523 = V643341. assign V271258 = V896332 - 1. assign V274642 = V351578 - 1. assign V491306 = V616256 - 1. assign V435149 = V597675 - 1. assign V258351 = V947244. assign V359406 = V900058. assign V244561 = V201605 + 1. assign V714737 = V014534. assign V487875 = V913422 - 1. assign V222167 = V900058. assign V134776 = V584671. assign V466367 = V882485. assign V480297 = V535016 + 1. assign V007243 = V491306 + 1. assign V963040 = V790593 + 1. assign V080339 = V260137 + 1. assign V122302 = V460575. assign V273724 = V689833. assign V647374 = V328937 - 1. assign V871061 = V216995 + 1. assign V597963 = V222850 + 1. assign V060373 = V500572 - 1. assign V720069 = V470686. assign V404255 = V900391 + 1. assign V526442 = V954580 - 1. assign V422440 = V604915 - 1. assign V719796 = V286547 + 1. assign V014534 = V993015. assign V976445 = V584671 + 1. assign V616256 = V014534 - 1. assign V338024 = V309935 - 1. assign V866265 = V369811 + 1. assign V580356 = V245867 + 1. assign V314134 = V991165 - 1. assign V325955 = V896332 - 1. assign V681516 = V804843 + 1. assign V431978 = V014534 + 1. assign V528823 = V535016 - 1. assign V651119 = V792486 - 1. assign V604915 = V681039. assign V923676 = V942607 - 1. assign V533855 = V515034 + 1. assign V433834 = V807153 - 1. assign V657830 = V713256 - 1. assign V472003 = V182489 + 1. assign V309935 = V290378. assign V202947 = V426285 + 1. assign V709751 = V096665. assign V374897 = V819229 + 1. assign V709740 = V709751 + 1. assign V375211 = V480297 - 1. assign V340794 = V361535 - 1. assign V419006 = V783667 - 1. assign V681039 = V993015 + 1. assign V232635 = V000802. assign V864276 = V238483. assign V475324 = V938943. assign V423187 = V558544 - 1. assign V689833 = V750435 - 1. assign V579082 = V224452. assign V383308 = V487766 - 1. assign V531970 = V707609 + 1. assign V056451 = V286547 - 1. assign V996547 = V526442 + 1. assign V214010 = V080339 - 1. assign V218466 = V328937 + 1. assign V515034 = V347703 - 1. assign V623075 = V657830 - 1. assign V520756 = V947244. assign V788932 = V734567 + 1. assign V438167 = V597675 + 1. assign V281081 = V584671 + 1. assign V743028 = V187204. assign V973949 = V500371 - 1. assign V874002 = V791296 - 1. assign V531424 = V355784. assign V216821 = V734567 + 1. assign V312039 = V707609 - 1. assign V712334 = V882485 + 1. assign V126993 = V026681. assign V966066 = V783667 + 1. assign V766460 = V060373 + 1. assign V091940 = V657830 + 1. assign V047706 = V551133 + 1. assign V750435 = V938412. assign V466587 = V816094 + 1. assign V641534 = V126993 + 1. assign V355784 = V369811. assign V200036 = V597963 + 1. assign V239146 = V392952 - 1. assign V460335 = V733996. assign V413002 = V500371 - 1. assign V328937 = V535016. assign V495769 = V216995 - 1. assign V162312 = V304347. assign V816094 = V938943 + 1. assign V365928 = V819229. assign V409065 = V584671. assign V023364 = V707688 + 1. assign V287148 = V342249 - 1. assign V515740 = V584671. assign V530467 = V698196 + 1. assign V792799 = V355784 - 1. assign V392952 = V393932 + 1. assign V335892 = V222167 - 1. assign V260137 = V014303 + 1. assign V110690 = V026681. assign V027340 = V961740. assign V680986 = V260137 + 1. assign V013611 = V963040. assign V138243 = V864276. assign V021405 = V060373 + 1. assign V558939 = V423961 - 1. assign V855017 = V000802 + 1. assign V799244 = V126993 + 1. assign V565918 = V375908 + 1. assign V375908 = V664413 - 1. assign V592337 = V281081 - 1. assign V833563 = V010497 - 1. assign V603087 = V954580. assign V341597 = V807836. assign V850529 = V431978 - 1. assign V393932 = V993015. assign V369811 = V216995 - 1. assign V947244 = V792486 + 1. assign V642786 = V903731 + 1. assign V733135 = V816094. assign V998369 = V624532. assign V070575 = V681039 + 1. assign V218283 = V060373. assign V696320 = V201605. assign V441182 = V056451. assign V940722 = V475324 - 1. assign V275448 = V309935. assign V733996 = V643341 - 1. assign V000802 = V351578 - 1. assign V558544 = V216995. assign V037111 = V098268. assign V482473 = V325020. assign V330410 = V966066 - 1. assign V603215 = V526442 - 1. assign V734567 = V014303. assign V955883 = V495769 + 1. assign V901912 = V703249 - 1. assign V900391 = V453471 + 1. assign V771386 = V647374 - 1. assign V483734 = V375211. assign V098268 = V200454. assign V183562 = V816094 - 1. assign V597675 = V470686. assign V707596 = V771386 + 1. assign V660298 = V816094. assign V119911 = V554767. assign V170913 = V584671 + 1. assign V993015 = V216995 - 1. assign V126959 = V719552 - 1. assign V664413 = V999826. assign V344841 = V651119 - 1. assign V942607 = V604915. assign V792486 = V954580 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV286547 = 0;\n\nFrom these direct assignment(s), we have: \nV056451 = V286547 - 1 = 0 - 1 =-1;\nV441182 = V056451 = -1;\nNo other varaibles can be derived from V441182;\nV458922 = V056451 - 1 = -1 - 1 =-2;\nV015046 = V458922 + 1 = -2 + 1 =-1;\nNo other varaibles can be derived from V015046;\nNo other varaibles can be derived from V458922;\nNo other varaibles can be derived from V056451;\nV719796 = V286547 + 1 = 0 + 1 =1;\nV462884 = V719796 - 1 = 1 - 1 =0;\nV700014 = V462884 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V700014;\nNo other varaibles can be derived from V462884;\nNo other varaibles can be derived from V719796;\nV698196 = V286547 = 0;\nV530467 = V698196 + 1 = 0 + 1 =1;\nNo other varaibles can be derived from V530467;\nNo other varaibles can be derived from V698196;\nNo other varaibles can be derived from V286547;\n\nNow we have done all the calculations. Derived variables are:\nV286547 = 0;\nV056451 = -1;\nV441182 = -1;\nV458922 = -2;\nV015046 = -1;\nV719796 = 1;\nV462884 = 0;\nV700014 = 1;\nV698196 = 0;\nV530467 = 1;\n\nNow we have finished this problem. ANSWER:\nV286547, V462884, V698196\n", "role": "assistant" } ]

[ "V646684", "V845689", "V618947", "V192853" ]

[ { "content": "<context>\nassign V529500 = V655076. assign V646303 = V338871 + 1. assign V368759 = V440995. assign V862698 = V186585 - 1. assign V613422 = V406345. assign V646684 = V164408 + 1. assign V954936 = V592021 + 1. assign V135489 = V162485 - 1. assign V454663 = V106177 + 1. assign V491015 = V840995. assign V771249 = V527038. assign V573217 = V062810 + 1. assign V451818 = V530697. assign V440995 = V409280. assign V961018 = V519185 + 1. assign V745989 = V706686 + 1. assign V248041 = V738103 + 1. assign V487241 = V106177 - 1. assign V068984 = V592021 + 1. assign V002211 = V620762 + 1. assign V696793 = V964943 + 1. assign V926703 = V403060. assign V062416 = V529854 + 1. assign V845689 = V646684. assign V620762 = V266896 - 1. assign V078631 = V527038 + 1. assign V342205 = V603816. assign V547698 = V620762 - 1. assign V661806 = V522384 + 1. assign V677477 = V114394 + 1. assign V871837 = V490910 - 1. assign V743145 = V394122 + 1. assign V150959 = V323610 + 1. assign V642505 = V078631 - 1. assign V475920 = V462091 + 1. assign V616002 = V266896 + 1. assign V966391 = V579412. assign V461768 = V759378 - 1. assign V090362 = V696793 - 1. assign V443769 = V972922. assign V740560 = V623655 + 1. assign V920351 = V972425 - 1. assign V397856 = V106177. assign V617644 = V323610 - 1. assign V546439 = V113647. assign V690371 = V097599. assign V597299 = V020961. assign V813886 = V479303 - 1. assign V853492 = V129892. assign V457803 = V270771. assign V465727 = V527038 + 1. assign V734626 = V814337. assign V972425 = V354187. assign V421332 = V833702 + 1. assign V823457 = V250914 + 1. assign V285072 = V035720 + 1. assign V143571 = V056609 + 1. assign V035578 = V578010 - 1. assign V381703 = V054371 + 1. assign V326280 = V643425 + 1. assign V579412 = V119857 + 1. assign V035720 = V031876 - 1. assign V338871 = V770635. assign V467578 = V959601. assign V031876 = V740150 + 1. assign V497953 = V958963 - 1. assign V779240 = V459147. assign V603816 = V544455. assign V616247 = V985003. assign V015982 = V544455. assign V236656 = V163458. assign V975137 = V603816 - 1. assign V575432 = V438241 - 1. assign V091855 = V972922. assign V623655 = V365794 - 1. assign V409280 = V024309 + 1. assign V102374 = V856813 - 1. assign V840995 = V544455. assign V523655 = V062416. assign V102139 = V594951 - 1. assign V858258 = V394122. assign V009955 = V354187. assign V594951 = V024309 + 1. assign V711743 = V062510. assign V301207 = V706686 - 1. assign V814337 = V519185. assign V162485 = V467578 - 1. assign V984583 = V519185 - 1. assign V406345 = V326280 + 1. assign V193618 = V579412 + 1. assign V548118 = V002211. assign V727130 = V114394. assign V785008 = V409280 + 1. assign V796057 = V390756. assign V092370 = V529854 - 1. assign V835340 = V706686 - 1. assign V113647 = V881741. assign V230064 = V959601 + 1. assign V378230 = V062810 + 1. assign V631469 = V484451 - 1. assign V833702 = V914891 + 1. assign V743111 = V362673 - 1. assign V675611 = V696793 - 1. assign V754706 = V920351 + 1. assign V404553 = V724295 - 1. assign V914891 = V792524 - 1. assign V918294 = V537030. assign V612354 = V626682 + 1. assign V274847 = V242098 - 1. assign V785616 = V889689. assign V157776 = V363219 + 1. assign V833074 = V696793 - 1. assign V097599 = V114394. assign V204835 = V979372 + 1. assign V724295 = V024309 - 1. assign V713237 = V078631 + 1. assign V344339 = V713237 + 1. assign V537030 = V770635. assign V022622 = V062510 + 1. assign V211666 = V174838 + 1. assign V222636 = V738103 + 1. assign V507767 = V573217. assign V062510 = V840995 + 1. assign V759378 = V740150. assign V090695 = V522384. assign V175431 = V934780 + 1. assign V969125 = V840995 + 1. assign V787536 = V097599. assign V209966 = V782610 - 1. assign V216825 = V706686 - 1. assign V782610 = V885966 - 1. assign V720798 = V285176 - 1. assign V055503 = V573217 - 1. assign V180641 = V497953 + 1. assign V889689 = V323484. assign V459147 = V127308. assign V450888 = V338871 - 1. assign V816998 = V631590 - 1. assign V462091 = V696793 - 1. assign V979372 = V665178 - 1. assign V698300 = V918294 + 1. assign V035248 = V646303. assign V498283 = V175431 - 1. assign V215679 = V507767 + 1. assign V438241 = V119857 - 1. assign V794808 = V972922. assign V217528 = V024309. assign V373359 = V009955 - 1. assign V855742 = V972425. assign V409462 = V196209. assign V959601 = V119857 - 1. assign V208781 = V195233 + 1. assign V250914 = V519185 - 1. assign V897690 = V378230 - 1. assign V829596 = V164408 - 1. assign V936484 = V115079 + 1. assign V748298 = V616002. assign V103831 = V323610. assign V417018 = V840995 + 1. assign V309170 = V833074. assign V266896 = V062810. assign V435359 = V078631 - 1. assign V177637 = V855535. assign V578010 = V836112. assign V786885 = V652001. assign V857817 = V229862. assign V592021 = V490910 + 1. assign V295755 = V090362 - 1. assign V841763 = V193618 + 1. assign V735222 = V983196 + 1. assign V836112 = V890809 + 1. assign V229862 = V579412 + 1. assign V079597 = V754706 - 1. assign V810939 = V642505 + 1. assign V786379 = V344792. assign V525979 = V836112 - 1. assign V530697 = V129892 + 1. assign V934780 = V770635 - 1. assign V018854 = V438241 - 1. assign V673289 = V035248. assign V706686 = V890809 - 1. assign V174838 = V925107 - 1. assign V922617 = V035578. assign V911406 = V402454 + 1. assign V365794 = V031876 + 1. assign V925107 = V727130. assign V124686 = V115079 + 1. assign V738103 = V646303 + 1. assign V164408 = V386899. assign V477203 = V578010 - 1. assign V856404 = V934780 - 1. assign V121746 = V616002 + 1. assign V034293 = V803488 - 1. assign V336443 = V713306. assign V311780 = V024309 - 1. assign V237710 = V544455 + 1. assign V411290 = V458071 + 1. assign V571139 = V984583 + 1. assign V643425 = V738103 + 1. assign V554387 = V632954 + 1. assign V801486 = V466889 - 1. assign V972154 = V713237 + 1. assign V876086 = V738115 + 1. assign V665178 = V743145 + 1. assign V352043 = V592021. assign V216288 = V743145 + 1. assign V540090 = V062510 + 1. assign V275406 = V964943 + 1. assign V129892 = V713661 - 1. assign V109734 = V062810 + 1. assign V501512 = V713661 + 1. assign V985003 = V890809. assign V561510 = V787536 - 1. assign V856813 = V738115. assign V490910 = V934780 - 1. assign V964943 = V856404 + 1. assign V402454 = V435359. assign V257576 = V652001. assign V848655 = V458071 - 1. assign V522384 = V529854. assign V719309 = V137283 + 1. assign V203004 = V467578 + 1. assign V137283 = V137296. assign V487736 = V115079 + 1. assign V738115 = V402476 + 1. assign V886376 = V537030 - 1. assign V618947 = V845689. assign V222565 = V740560 + 1. assign V402476 = V770635 - 1. assign V068729 = V129892. assign V803488 = V840995 + 1. assign V578672 = V062810. assign V938322 = V129892 + 1. assign V855535 = V285176. assign V670959 = V643425. assign V196209 = V193618. assign V071366 = V215679 + 1. assign V323484 = V062810 + 1. assign V390756 = V386899 - 1. assign V846823 = V845165 + 1. assign V960544 = V646303 - 1. assign V466889 = V620762 - 1. assign V454948 = V165861 - 1. assign V159284 = V519185 - 1. assign V625089 = V885405. assign V632954 = V308927 + 1. assign V713306 = V097599 + 1. assign V027292 = V490910 + 1. assign V638549 = V527038 + 1. assign V706390 = V068729 - 1. assign V362673 = V934780 + 1. assign V308927 = V222565 - 1. assign V380052 = V792524 - 1. assign V958963 = V157776 + 1. assign V889228 = V706390 - 1. assign V631590 = V119857 - 1. assign V163458 = V409280 + 1. assign V875667 = V738115 - 1. assign V960483 = V362673. assign V623484 = V857817 + 1. assign V114394 = V792524 + 1. assign V259592 = V579412 - 1. assign V589116 = V062510 - 1. assign V604052 = V734626 - 1. assign V972922 = V119857 + 1. assign V626682 = V616247 + 1. assign V983196 = V881741 - 1. assign V527038 = V934780. assign V541636 = V713306 + 1. assign V456275 = V541636. assign V363219 = V738103 + 1. assign V069475 = V068984. assign V819600 = V713661 + 1. assign V429833 = V066444 - 1. assign V740150 = V354187 - 1. assign V119857 = V527038 + 1. assign V484451 = V934780. assign V739284 = V713661. assign V186585 = V440995. assign V155260 = V062810 + 1. assign V323610 = V250914. assign V321505 = V424050. assign V531829 = V985003. assign V381604 = V062416. assign V885405 = V027292 + 1. assign V242098 = V713306 + 1. assign V885966 = V490910. assign V853257 = V617644 + 1. assign V165861 = V655076. assign V106177 = V959601 + 1. assign V024309 = V792524 - 1. assign V698666 = V529854 + 1. assign V222009 = V771249 - 1. assign V403060 = V578010 - 1. assign V297295 = V114394. assign V192853 = V845689. assign V137296 = V461768 - 1. assign V386899 = 3. assign V713661 = V338871 - 1. assign V655076 = V770635 - 1. assign V529854 = V972425. assign V890809 = V119857. assign V881741 = V250914. assign V519185 = V062810. assign V916779 = V297295 - 1. assign V113088 = V102139. assign V424050 = V344792 + 1. assign V121923 = V885966. assign V451822 = V914891. assign V800088 = V323610. assign V428895 = V078631. assign V716935 = V390756. assign V499798 = V097599 + 1. assign V775981 = V295755. assign V479303 = V770635 - 1. assign V544455 = V035248. assign V436996 = V871837 + 1. assign V394122 = V918294. assign V235321 = V544455. assign V946434 = V465727 + 1. assign V062810 = V402476. assign V042138 = V823457. assign V066444 = V030557. assign V780854 = V466889. assign V652001 = V062810 - 1. assign V519122 = V102374 + 1. assign V112711 = V323484. assign V020961 = V362673 + 1. assign V030557 = V203004. assign V792524 = V527038 + 1. assign V522596 = V363219 + 1. assign V643377 = V792524. assign V494167 = V589116 + 1. assign V606711 = V527038. assign V195233 = V964943 + 1. assign V285176 = V435359 - 1. assign V115079 = V435359 + 1. assign V607608 = V035578 + 1. assign V162637 = V031876 - 1. assign V344792 = V855535 + 1. assign V127308 = V926703 - 1. assign V270771 = V529500 + 1. assign V845165 = V739284 + 1. assign V311586 = V519185 + 1. assign V567059 = V163458. assign V512201 = V646303 + 1. assign V354187 = V856404. assign V054371 = V115079 - 1. assign V393572 = V529500 + 1. assign V056609 = V540090 - 1. assign V458071 = V519122 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V529500 = V655076. assign V646303 = V338871 + 1. assign V368759 = V440995. assign V862698 = V186585 - 1. assign V613422 = V406345. assign V646684 = V164408 + 1. assign V954936 = V592021 + 1. assign V135489 = V162485 - 1. assign V454663 = V106177 + 1. assign V491015 = V840995. assign V771249 = V527038. assign V573217 = V062810 + 1. assign V451818 = V530697. assign V440995 = V409280. assign V961018 = V519185 + 1. assign V745989 = V706686 + 1. assign V248041 = V738103 + 1. assign V487241 = V106177 - 1. assign V068984 = V592021 + 1. assign V002211 = V620762 + 1. assign V696793 = V964943 + 1. assign V926703 = V403060. assign V062416 = V529854 + 1. assign V845689 = V646684. assign V620762 = V266896 - 1. assign V078631 = V527038 + 1. assign V342205 = V603816. assign V547698 = V620762 - 1. assign V661806 = V522384 + 1. assign V677477 = V114394 + 1. assign V871837 = V490910 - 1. assign V743145 = V394122 + 1. assign V150959 = V323610 + 1. assign V642505 = V078631 - 1. assign V475920 = V462091 + 1. assign V616002 = V266896 + 1. assign V966391 = V579412. assign V461768 = V759378 - 1. assign V090362 = V696793 - 1. assign V443769 = V972922. assign V740560 = V623655 + 1. assign V920351 = V972425 - 1. assign V397856 = V106177. assign V617644 = V323610 - 1. assign V546439 = V113647. assign V690371 = V097599. assign V597299 = V020961. assign V813886 = V479303 - 1. assign V853492 = V129892. assign V457803 = V270771. assign V465727 = V527038 + 1. assign V734626 = V814337. assign V972425 = V354187. assign V421332 = V833702 + 1. assign V823457 = V250914 + 1. assign V285072 = V035720 + 1. assign V143571 = V056609 + 1. assign V035578 = V578010 - 1. assign V381703 = V054371 + 1. assign V326280 = V643425 + 1. assign V579412 = V119857 + 1. assign V035720 = V031876 - 1. assign V338871 = V770635. assign V467578 = V959601. assign V031876 = V740150 + 1. assign V497953 = V958963 - 1. assign V779240 = V459147. assign V603816 = V544455. assign V616247 = V985003. assign V015982 = V544455. assign V236656 = V163458. assign V975137 = V603816 - 1. assign V575432 = V438241 - 1. assign V091855 = V972922. assign V623655 = V365794 - 1. assign V409280 = V024309 + 1. assign V102374 = V856813 - 1. assign V840995 = V544455. assign V523655 = V062416. assign V102139 = V594951 - 1. assign V858258 = V394122. assign V009955 = V354187. assign V594951 = V024309 + 1. assign V711743 = V062510. assign V301207 = V706686 - 1. assign V814337 = V519185. assign V162485 = V467578 - 1. assign V984583 = V519185 - 1. assign V406345 = V326280 + 1. assign V193618 = V579412 + 1. assign V548118 = V002211. assign V727130 = V114394. assign V785008 = V409280 + 1. assign V796057 = V390756. assign V092370 = V529854 - 1. assign V835340 = V706686 - 1. assign V113647 = V881741. assign V230064 = V959601 + 1. assign V378230 = V062810 + 1. assign V631469 = V484451 - 1. assign V833702 = V914891 + 1. assign V743111 = V362673 - 1. assign V675611 = V696793 - 1. assign V754706 = V920351 + 1. assign V404553 = V724295 - 1. assign V914891 = V792524 - 1. assign V918294 = V537030. assign V612354 = V626682 + 1. assign V274847 = V242098 - 1. assign V785616 = V889689. assign V157776 = V363219 + 1. assign V833074 = V696793 - 1. assign V097599 = V114394. assign V204835 = V979372 + 1. assign V724295 = V024309 - 1. assign V713237 = V078631 + 1. assign V344339 = V713237 + 1. assign V537030 = V770635. assign V022622 = V062510 + 1. assign V211666 = V174838 + 1. assign V222636 = V738103 + 1. assign V507767 = V573217. assign V062510 = V840995 + 1. assign V759378 = V740150. assign V090695 = V522384. assign V175431 = V934780 + 1. assign V969125 = V840995 + 1. assign V787536 = V097599. assign V209966 = V782610 - 1. assign V216825 = V706686 - 1. assign V782610 = V885966 - 1. assign V720798 = V285176 - 1. assign V055503 = V573217 - 1. assign V180641 = V497953 + 1. assign V889689 = V323484. assign V459147 = V127308. assign V450888 = V338871 - 1. assign V816998 = V631590 - 1. assign V462091 = V696793 - 1. assign V979372 = V665178 - 1. assign V698300 = V918294 + 1. assign V035248 = V646303. assign V498283 = V175431 - 1. assign V215679 = V507767 + 1. assign V438241 = V119857 - 1. assign V794808 = V972922. assign V217528 = V024309. assign V373359 = V009955 - 1. assign V855742 = V972425. assign V409462 = V196209. assign V959601 = V119857 - 1. assign V208781 = V195233 + 1. assign V250914 = V519185 - 1. assign V897690 = V378230 - 1. assign V829596 = V164408 - 1. assign V936484 = V115079 + 1. assign V748298 = V616002. assign V103831 = V323610. assign V417018 = V840995 + 1. assign V309170 = V833074. assign V266896 = V062810. assign V435359 = V078631 - 1. assign V177637 = V855535. assign V578010 = V836112. assign V786885 = V652001. assign V857817 = V229862. assign V592021 = V490910 + 1. assign V295755 = V090362 - 1. assign V841763 = V193618 + 1. assign V735222 = V983196 + 1. assign V836112 = V890809 + 1. assign V229862 = V579412 + 1. assign V079597 = V754706 - 1. assign V810939 = V642505 + 1. assign V786379 = V344792. assign V525979 = V836112 - 1. assign V530697 = V129892 + 1. assign V934780 = V770635 - 1. assign V018854 = V438241 - 1. assign V673289 = V035248. assign V706686 = V890809 - 1. assign V174838 = V925107 - 1. assign V922617 = V035578. assign V911406 = V402454 + 1. assign V365794 = V031876 + 1. assign V925107 = V727130. assign V124686 = V115079 + 1. assign V738103 = V646303 + 1. assign V164408 = V386899. assign V477203 = V578010 - 1. assign V856404 = V934780 - 1. assign V121746 = V616002 + 1. assign V034293 = V803488 - 1. assign V336443 = V713306. assign V311780 = V024309 - 1. assign V237710 = V544455 + 1. assign V411290 = V458071 + 1. assign V571139 = V984583 + 1. assign V643425 = V738103 + 1. assign V554387 = V632954 + 1. assign V801486 = V466889 - 1. assign V972154 = V713237 + 1. assign V876086 = V738115 + 1. assign V665178 = V743145 + 1. assign V352043 = V592021. assign V216288 = V743145 + 1. assign V540090 = V062510 + 1. assign V275406 = V964943 + 1. assign V129892 = V713661 - 1. assign V109734 = V062810 + 1. assign V501512 = V713661 + 1. assign V985003 = V890809. assign V561510 = V787536 - 1. assign V856813 = V738115. assign V490910 = V934780 - 1. assign V964943 = V856404 + 1. assign V402454 = V435359. assign V257576 = V652001. assign V848655 = V458071 - 1. assign V522384 = V529854. assign V719309 = V137283 + 1. assign V203004 = V467578 + 1. assign V137283 = V137296. assign V487736 = V115079 + 1. assign V738115 = V402476 + 1. assign V886376 = V537030 - 1. assign V618947 = V845689. assign V222565 = V740560 + 1. assign V402476 = V770635 - 1. assign V068729 = V129892. assign V803488 = V840995 + 1. assign V578672 = V062810. assign V938322 = V129892 + 1. assign V855535 = V285176. assign V670959 = V643425. assign V196209 = V193618. assign V071366 = V215679 + 1. assign V323484 = V062810 + 1. assign V390756 = V386899 - 1. assign V846823 = V845165 + 1. assign V960544 = V646303 - 1. assign V466889 = V620762 - 1. assign V454948 = V165861 - 1. assign V159284 = V519185 - 1. assign V625089 = V885405. assign V632954 = V308927 + 1. assign V713306 = V097599 + 1. assign V027292 = V490910 + 1. assign V638549 = V527038 + 1. assign V706390 = V068729 - 1. assign V362673 = V934780 + 1. assign V308927 = V222565 - 1. assign V380052 = V792524 - 1. assign V958963 = V157776 + 1. assign V889228 = V706390 - 1. assign V631590 = V119857 - 1. assign V163458 = V409280 + 1. assign V875667 = V738115 - 1. assign V960483 = V362673. assign V623484 = V857817 + 1. assign V114394 = V792524 + 1. assign V259592 = V579412 - 1. assign V589116 = V062510 - 1. assign V604052 = V734626 - 1. assign V972922 = V119857 + 1. assign V626682 = V616247 + 1. assign V983196 = V881741 - 1. assign V527038 = V934780. assign V541636 = V713306 + 1. assign V456275 = V541636. assign V363219 = V738103 + 1. assign V069475 = V068984. assign V819600 = V713661 + 1. assign V429833 = V066444 - 1. assign V740150 = V354187 - 1. assign V119857 = V527038 + 1. assign V484451 = V934780. assign V739284 = V713661. assign V186585 = V440995. assign V155260 = V062810 + 1. assign V323610 = V250914. assign V321505 = V424050. assign V531829 = V985003. assign V381604 = V062416. assign V885405 = V027292 + 1. assign V242098 = V713306 + 1. assign V885966 = V490910. assign V853257 = V617644 + 1. assign V165861 = V655076. assign V106177 = V959601 + 1. assign V024309 = V792524 - 1. assign V698666 = V529854 + 1. assign V222009 = V771249 - 1. assign V403060 = V578010 - 1. assign V297295 = V114394. assign V192853 = V845689. assign V137296 = V461768 - 1. assign V386899 = 3. assign V713661 = V338871 - 1. assign V655076 = V770635 - 1. assign V529854 = V972425. assign V890809 = V119857. assign V881741 = V250914. assign V519185 = V062810. assign V916779 = V297295 - 1. assign V113088 = V102139. assign V424050 = V344792 + 1. assign V121923 = V885966. assign V451822 = V914891. assign V800088 = V323610. assign V428895 = V078631. assign V716935 = V390756. assign V499798 = V097599 + 1. assign V775981 = V295755. assign V479303 = V770635 - 1. assign V544455 = V035248. assign V436996 = V871837 + 1. assign V394122 = V918294. assign V235321 = V544455. assign V946434 = V465727 + 1. assign V062810 = V402476. assign V042138 = V823457. assign V066444 = V030557. assign V780854 = V466889. assign V652001 = V062810 - 1. assign V519122 = V102374 + 1. assign V112711 = V323484. assign V020961 = V362673 + 1. assign V030557 = V203004. assign V792524 = V527038 + 1. assign V522596 = V363219 + 1. assign V643377 = V792524. assign V494167 = V589116 + 1. assign V606711 = V527038. assign V195233 = V964943 + 1. assign V285176 = V435359 - 1. assign V115079 = V435359 + 1. assign V607608 = V035578 + 1. assign V162637 = V031876 - 1. assign V344792 = V855535 + 1. assign V127308 = V926703 - 1. assign V270771 = V529500 + 1. assign V845165 = V739284 + 1. assign V311586 = V519185 + 1. assign V567059 = V163458. assign V512201 = V646303 + 1. assign V354187 = V856404. assign V054371 = V115079 - 1. assign V393572 = V529500 + 1. assign V056609 = V540090 - 1. assign V458071 = V519122 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV386899 = 3;\n\nFrom these direct assignment(s), we have: \nV390756 = V386899 - 1 = 3 - 1 =2;\nV716935 = V390756 = 2;\nNo other varaibles can be derived from V716935;\nV796057 = V390756 = 2;\nNo other varaibles can be derived from V796057;\nNo other varaibles can be derived from V390756;\nV164408 = V386899 = 3;\nV829596 = V164408 - 1 = 3 - 1 =2;\nNo other varaibles can be derived from V829596;\nV646684 = V164408 + 1 = 3 + 1 =4;\nV845689 = V646684 = 4;\nV192853 = V845689 = 4;\nNo other varaibles can be derived from V192853;\nV618947 = V845689 = 4;\nNo other varaibles can be derived from V618947;\nNo other varaibles can be derived from V845689;\nNo other varaibles can be derived from V646684;\nNo other varaibles can be derived from V164408;\nNo other varaibles can be derived from V386899;\n\nNow we have done all the calculations. Derived variables are:\nV386899 = 3;\nV390756 = 2;\nV716935 = 2;\nV796057 = 2;\nV164408 = 3;\nV829596 = 2;\nV646684 = 4;\nV845689 = 4;\nV192853 = 4;\nV618947 = 4;\n\nNow we have finished this problem. ANSWER:\nV646684, V845689, V192853, V618947\n", "role": "assistant" } ]

[ "V327504" ]

[ { "content": "<context>\nassign V291998 = V405440 - 1. assign V185781 = V673164 + 1. assign V439438 = V259790 - 1. assign V334204 = V637246 - 1. assign V125045 = V959743 - 1. assign V410249 = V380314. assign V517949 = V179740 - 1. assign V817614 = V958954. assign V702148 = V691116 + 1. assign V176461 = V310693. assign V659035 = V691765. assign V859072 = V792757 + 1. assign V874696 = V130130. assign V985009 = V792757. assign V590210 = V518415. assign V387254 = V547974 - 1. assign V417921 = V621128 - 1. assign V892011 = V555377. assign V295458 = V828193. assign V971318 = V003338 + 1. assign V364208 = V792757. assign V610884 = V313920 - 1. assign V330101 = V129023 - 1. assign V866171 = V637246 - 1. assign V986294 = V680693. assign V616180 = V040471 + 1. assign V847566 = V859072 - 1. assign V182900 = V169550. assign V680693 = V504422 - 1. assign V292189 = V683633. assign V690601 = V405440. assign V011235 = V599839. assign V670245 = V691116 - 1. assign V560560 = V744051 + 1. assign V789992 = V844760. assign V173539 = V184571 - 1. assign V115244 = V504422 + 1. assign V003338 = V483684 - 1. assign V204852 = V265846. assign V406674 = V847566. assign V405440 = V718615 - 1. assign V276186 = V149340 - 1. assign V083077 = V859072 + 1. assign V655604 = V683633 - 1. assign V047591 = V210303 + 1. assign V847276 = V806119. assign V709914 = V130130 + 1. assign V521379 = V855425 + 1. assign V376865 = V169550 + 1. assign V873599 = V467583. assign V828193 = V356396. assign V184571 = V874696 + 1. assign V316794 = V637246 - 1. assign V518415 = V649760 - 1. assign V072655 = V571489. assign V829485 = V837948. assign V040471 = V310693 - 1. assign V071855 = V744051 - 1. assign V181439 = V985009. assign V595014 = V230871 + 1. assign V516487 = V423313. assign V363068 = V922085. assign V108928 = V829485. assign V605976 = V247279. assign V273537 = V013618. assign V672899 = V382843. assign V692884 = V708899 + 1. assign V382843 = V963062. assign V420636 = V558977. assign V809603 = V382843 + 1. assign V166322 = V247279. assign V849829 = V718615 - 1. assign V126766 = V422295 + 1. assign V449545 = V943343 + 1. assign V006498 = V794091 + 1. assign V270687 = V222526. assign V373071 = V015183 + 1. assign V547343 = V422295 + 1. assign V204078 = V382843 + 1. assign V204189 = V003338 - 1. assign V508133 = V775561. assign V785902 = V259790. assign V483684 = V016585. assign V611936 = V313561. assign V852401 = V537047. assign V691116 = V775561. assign V340010 = V785255 + 1. assign V239132 = V844760. assign V580226 = V847276. assign V094310 = V130130 - 1. assign V505210 = V852401 - 1. assign V814874 = V930842. assign V060351 = V423313. assign V569120 = V611936 - 1. assign V154901 = V126766 + 1. assign V028150 = V863947 + 1. assign V066969 = V744051 + 1. assign V501570 = 7. assign V691765 = V555377 - 1. assign V297572 = V874063 + 1. assign V881184 = V716762 - 1. assign V948252 = V297572 + 1. assign V839382 = V960878 + 1. assign V467583 = V382843. assign V718103 = V222526 + 1. assign V555377 = V276694 + 1. assign V265846 = V126766. assign V792757 = V963062 + 1. assign V308771 = V892011. assign V504912 = V423313 - 1. assign V281111 = V985009. assign V835150 = V516487 + 1. assign V726362 = V708281. assign V751487 = V210303 - 1. assign V602634 = V789992. assign V129023 = V292106. assign V280848 = V416463 - 1. assign V217484 = V789992 + 1. assign V691411 = V130130 + 1. assign V729494 = V705675 + 1. assign V887797 = V292106. assign V863947 = V963062 + 1. assign V570570 = V658423 - 1. assign V669495 = V387254 - 1. assign V574125 = V176726. assign V599839 = V537047. assign V844760 = V611936. assign V038866 = V276694 + 1. assign V257555 = V689724. assign V098709 = V417921 - 1. assign V621128 = V313561. assign V467903 = V483684 + 1. assign V176726 = V537783 + 1. assign V417233 = V291208 + 1. assign V278228 = V167302 - 1. assign V181324 = V013618 - 1. assign V718159 = V794091. assign V537047 = V736042 - 1. assign V259790 = V501570 + 1. assign V833113 = V169550 - 1. assign V988573 = V537047 + 1. assign V455505 = V294929 - 1. assign V005949 = V176461. assign V733441 = V794917 - 1. assign V919067 = V292106 - 1. assign V156774 = V659035. assign V307706 = V130240 - 1. assign V109831 = V571489 + 1. assign V814517 = V990515. assign V708281 = V780684 + 1. assign V134171 = V794917. assign V958543 = V295458 + 1. assign V705675 = V943343. assign V530054 = V400007 + 1. assign V849762 = V505210 + 1. assign V261077 = V097409. assign V600617 = V718615 - 1. assign V537783 = V792757 + 1. assign V785255 = V117312 + 1. assign V967874 = V458442. assign V242290 = V718615 + 1. assign V409672 = V149340. assign V818583 = V074886 - 1. assign V975762 = V269563 - 1. assign V003313 = V931807 + 1. assign V750031 = V560560 - 1. assign V417715 = V669114. assign V806119 = V555377 + 1. assign V931807 = V611936. assign V016585 = V382843 + 1. assign V427630 = V176461. assign V651996 = V276694 - 1. assign V083274 = V297493 + 1. assign V899236 = V126766 - 1. assign V029749 = V409672. assign V279264 = V849829 + 1. assign V315390 = V583169 - 1. assign V658423 = V382843 - 1. assign V440617 = V963062. assign V818934 = V882480 - 1. assign V649760 = V222526 - 1. assign V396504 = V276694 - 1. assign V982348 = V504422. assign V400007 = V438931 + 1. assign V012900 = V003338 - 1. assign V062561 = V064396 + 1. assign V304705 = V278033. assign V098741 = V690601. assign V583169 = V405440 - 1. assign V879749 = V003313 + 1. assign V603132 = V239132. assign V869436 = V558977. assign V438931 = V313561 - 1. assign V877463 = V217005 - 1. assign V607726 = V874063. assign V276694 = V537783. assign V292106 = V409672 - 1. assign V327504 = V259790 + 1. assign V386820 = V709813 - 1. assign V481334 = V785255 + 1. assign V607127 = V658423 + 1. assign V284180 = V275845. assign V097678 = V902570. assign V958954 = V438931 + 1. assign V184355 = V117312. assign V653358 = V882480. assign V117312 = V690601 + 1. assign V210303 = V416463. assign V782466 = V712980 - 1. assign V858895 = V176461. assign V144967 = V154901. assign V400056 = V785902 - 1. assign V248638 = V736042. assign V855425 = V184571. assign V923121 = V922085 - 1. assign V130240 = V297572 - 1. assign V362303 = V423313 - 1. assign V013618 = V259790 - 1. assign V808881 = V247279 - 1. assign V780684 = V595014 - 1. assign V794917 = V179740 + 1. assign V902570 = V083274 - 1. assign V678813 = V297493 + 1. assign V300406 = V279264. assign V222526 = V874063 - 1. assign V250917 = V866171 - 1. assign V155562 = V400610. assign V949710 = V313561 - 1. assign V430676 = V222526 - 1. assign V309989 = V247279 + 1. assign V458442 = V658423 + 1. assign V823184 = V247279 + 1. assign V772844 = V975762. assign V731496 = V555377 - 1. assign V217005 = V785255 - 1. assign V456680 = V217005 - 1. assign V837948 = V430676. assign V140619 = V574125 - 1. assign V074886 = V809603 + 1. assign V674286 = V295458 + 1. assign V842694 = V785255. assign V787277 = V863601. assign V181778 = V691765. assign V702097 = V818583 - 1. assign V558977 = V130130 - 1. assign V709813 = V417921 + 1. assign V483338 = V501570 - 1. assign V140725 = V438931. assign V744252 = V859072 + 1. assign V949820 = V852401 - 1. assign V683633 = V809603. assign V518624 = V297572 + 1. assign V647685 = V517949. assign V870303 = V772844 - 1. assign V571489 = V456680 + 1. assign V951240 = V016585 - 1. assign V313561 = V247279. assign V278033 = V794091 + 1. assign V505285 = V555377 + 1. assign V863601 = V873599 - 1. assign V211317 = V278033. assign V269563 = V789992 - 1. assign V097409 = V690601 - 1. assign V794091 = V741967. assign V230871 = V338607 + 1. assign V990515 = V985009 + 1. assign V294929 = V074886 + 1. assign V064396 = V708899 - 1. assign V260657 = V483684. assign V741967 = V483684. assign V346832 = V537783 + 1. assign V768640 = V844760. assign V302116 = V217484. assign V291208 = V874696 - 1. assign V167302 = V611936 + 1. assign V681158 = V003338. assign V767500 = V430676 - 1. assign V673164 = V736042 - 1. assign V042503 = V310705 + 1. assign V310693 = V313561. assign V390668 = V066969 - 1. assign V775561 = V222526 + 1. assign V169550 = V060351. assign V275845 = V148132. assign V094611 = V298989. assign V882480 = V176461. assign V297493 = V504422. assign V669292 = V422295 + 1. assign V922085 = V130130 - 1. assign V213207 = V405440 - 1. assign V356396 = V691411 - 1. assign V709283 = V060351. assign V184542 = V718615 + 1. assign V083034 = V736042 + 1. assign V640029 = V706345 + 1. assign V298989 = V649760 - 1. assign V874063 = V718615 - 1. assign V338607 = V744252. assign V736042 = V690601 + 1. assign V804559 = V166322 + 1. assign V706345 = V958954 + 1. assign V712980 = V599839 - 1. assign V416463 = V483684 - 1. assign V400610 = V744252 + 1. assign V718615 = V963062. assign V392848 = V844760 - 1. assign V930842 = V806119 + 1. assign V858473 = V988573. assign V101714 = V276186. assign V504422 = V427630 - 1. assign V535275 = V217005. assign V943343 = V569120. assign V689724 = V316794. assign V423313 = V380314 + 1. assign V070494 = V669114 - 1. assign V179740 = V416463 + 1. assign V463481 = V922085. assign V538600 = V877463. assign V907827 = V683633 - 1. assign V744051 = V637246. assign V310705 = V504912 + 1. assign V960878 = V338607. assign V149340 = V276694. assign V389020 = V179740 + 1. assign V396763 = V892011. assign V669114 = V873599 + 1. assign V422295 = V210303 + 1. assign V095516 = V602634 + 1. assign V959743 = V971318. assign V220541 = V833113 - 1. assign V015183 = V184542 - 1. assign V130130 = V382843 + 1. assign V406490 = V750031. assign V637246 = V440617 - 1. assign V502692 = V169550 - 1. assign V410092 = V922085 - 1. assign V313920 = V611936 - 1. assign V309210 = V338607 - 1. assign V247279 = V963062. assign V148132 = V405440 + 1. assign V380314 = V736042. assign V939259 = V278228. assign V852535 = V985009 - 1. assign V680202 = V775561. assign V716762 = V003338 + 1. assign V559829 = V683633 - 1. assign V886239 = V967874 + 1. assign V708899 = V844760 + 1. assign V547974 = V364208. assign V091440 = V276694 + 1. assign V088578 = V064396.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V291998 = V405440 - 1. assign V185781 = V673164 + 1. assign V439438 = V259790 - 1. assign V334204 = V637246 - 1. assign V125045 = V959743 - 1. assign V410249 = V380314. assign V517949 = V179740 - 1. assign V817614 = V958954. assign V702148 = V691116 + 1. assign V176461 = V310693. assign V659035 = V691765. assign V859072 = V792757 + 1. assign V874696 = V130130. assign V985009 = V792757. assign V590210 = V518415. assign V387254 = V547974 - 1. assign V417921 = V621128 - 1. assign V892011 = V555377. assign V295458 = V828193. assign V971318 = V003338 + 1. assign V364208 = V792757. assign V610884 = V313920 - 1. assign V330101 = V129023 - 1. assign V866171 = V637246 - 1. assign V986294 = V680693. assign V616180 = V040471 + 1. assign V847566 = V859072 - 1. assign V182900 = V169550. assign V680693 = V504422 - 1. assign V292189 = V683633. assign V690601 = V405440. assign V011235 = V599839. assign V670245 = V691116 - 1. assign V560560 = V744051 + 1. assign V789992 = V844760. assign V173539 = V184571 - 1. assign V115244 = V504422 + 1. assign V003338 = V483684 - 1. assign V204852 = V265846. assign V406674 = V847566. assign V405440 = V718615 - 1. assign V276186 = V149340 - 1. assign V083077 = V859072 + 1. assign V655604 = V683633 - 1. assign V047591 = V210303 + 1. assign V847276 = V806119. assign V709914 = V130130 + 1. assign V521379 = V855425 + 1. assign V376865 = V169550 + 1. assign V873599 = V467583. assign V828193 = V356396. assign V184571 = V874696 + 1. assign V316794 = V637246 - 1. assign V518415 = V649760 - 1. assign V072655 = V571489. assign V829485 = V837948. assign V040471 = V310693 - 1. assign V071855 = V744051 - 1. assign V181439 = V985009. assign V595014 = V230871 + 1. assign V516487 = V423313. assign V363068 = V922085. assign V108928 = V829485. assign V605976 = V247279. assign V273537 = V013618. assign V672899 = V382843. assign V692884 = V708899 + 1. assign V382843 = V963062. assign V420636 = V558977. assign V809603 = V382843 + 1. assign V166322 = V247279. assign V849829 = V718615 - 1. assign V126766 = V422295 + 1. assign V449545 = V943343 + 1. assign V006498 = V794091 + 1. assign V270687 = V222526. assign V373071 = V015183 + 1. assign V547343 = V422295 + 1. assign V204078 = V382843 + 1. assign V204189 = V003338 - 1. assign V508133 = V775561. assign V785902 = V259790. assign V483684 = V016585. assign V611936 = V313561. assign V852401 = V537047. assign V691116 = V775561. assign V340010 = V785255 + 1. assign V239132 = V844760. assign V580226 = V847276. assign V094310 = V130130 - 1. assign V505210 = V852401 - 1. assign V814874 = V930842. assign V060351 = V423313. assign V569120 = V611936 - 1. assign V154901 = V126766 + 1. assign V028150 = V863947 + 1. assign V066969 = V744051 + 1. assign V501570 = 7. assign V691765 = V555377 - 1. assign V297572 = V874063 + 1. assign V881184 = V716762 - 1. assign V948252 = V297572 + 1. assign V839382 = V960878 + 1. assign V467583 = V382843. assign V718103 = V222526 + 1. assign V555377 = V276694 + 1. assign V265846 = V126766. assign V792757 = V963062 + 1. assign V308771 = V892011. assign V504912 = V423313 - 1. assign V281111 = V985009. assign V835150 = V516487 + 1. assign V726362 = V708281. assign V751487 = V210303 - 1. assign V602634 = V789992. assign V129023 = V292106. assign V280848 = V416463 - 1. assign V217484 = V789992 + 1. assign V691411 = V130130 + 1. assign V729494 = V705675 + 1. assign V887797 = V292106. assign V863947 = V963062 + 1. assign V570570 = V658423 - 1. assign V669495 = V387254 - 1. assign V574125 = V176726. assign V599839 = V537047. assign V844760 = V611936. assign V038866 = V276694 + 1. assign V257555 = V689724. assign V098709 = V417921 - 1. assign V621128 = V313561. assign V467903 = V483684 + 1. assign V176726 = V537783 + 1. assign V417233 = V291208 + 1. assign V278228 = V167302 - 1. assign V181324 = V013618 - 1. assign V718159 = V794091. assign V537047 = V736042 - 1. assign V259790 = V501570 + 1. assign V833113 = V169550 - 1. assign V988573 = V537047 + 1. assign V455505 = V294929 - 1. assign V005949 = V176461. assign V733441 = V794917 - 1. assign V919067 = V292106 - 1. assign V156774 = V659035. assign V307706 = V130240 - 1. assign V109831 = V571489 + 1. assign V814517 = V990515. assign V708281 = V780684 + 1. assign V134171 = V794917. assign V958543 = V295458 + 1. assign V705675 = V943343. assign V530054 = V400007 + 1. assign V849762 = V505210 + 1. assign V261077 = V097409. assign V600617 = V718615 - 1. assign V537783 = V792757 + 1. assign V785255 = V117312 + 1. assign V967874 = V458442. assign V242290 = V718615 + 1. assign V409672 = V149340. assign V818583 = V074886 - 1. assign V975762 = V269563 - 1. assign V003313 = V931807 + 1. assign V750031 = V560560 - 1. assign V417715 = V669114. assign V806119 = V555377 + 1. assign V931807 = V611936. assign V016585 = V382843 + 1. assign V427630 = V176461. assign V651996 = V276694 - 1. assign V083274 = V297493 + 1. assign V899236 = V126766 - 1. assign V029749 = V409672. assign V279264 = V849829 + 1. assign V315390 = V583169 - 1. assign V658423 = V382843 - 1. assign V440617 = V963062. assign V818934 = V882480 - 1. assign V649760 = V222526 - 1. assign V396504 = V276694 - 1. assign V982348 = V504422. assign V400007 = V438931 + 1. assign V012900 = V003338 - 1. assign V062561 = V064396 + 1. assign V304705 = V278033. assign V098741 = V690601. assign V583169 = V405440 - 1. assign V879749 = V003313 + 1. assign V603132 = V239132. assign V869436 = V558977. assign V438931 = V313561 - 1. assign V877463 = V217005 - 1. assign V607726 = V874063. assign V276694 = V537783. assign V292106 = V409672 - 1. assign V327504 = V259790 + 1. assign V386820 = V709813 - 1. assign V481334 = V785255 + 1. assign V607127 = V658423 + 1. assign V284180 = V275845. assign V097678 = V902570. assign V958954 = V438931 + 1. assign V184355 = V117312. assign V653358 = V882480. assign V117312 = V690601 + 1. assign V210303 = V416463. assign V782466 = V712980 - 1. assign V858895 = V176461. assign V144967 = V154901. assign V400056 = V785902 - 1. assign V248638 = V736042. assign V855425 = V184571. assign V923121 = V922085 - 1. assign V130240 = V297572 - 1. assign V362303 = V423313 - 1. assign V013618 = V259790 - 1. assign V808881 = V247279 - 1. assign V780684 = V595014 - 1. assign V794917 = V179740 + 1. assign V902570 = V083274 - 1. assign V678813 = V297493 + 1. assign V300406 = V279264. assign V222526 = V874063 - 1. assign V250917 = V866171 - 1. assign V155562 = V400610. assign V949710 = V313561 - 1. assign V430676 = V222526 - 1. assign V309989 = V247279 + 1. assign V458442 = V658423 + 1. assign V823184 = V247279 + 1. assign V772844 = V975762. assign V731496 = V555377 - 1. assign V217005 = V785255 - 1. assign V456680 = V217005 - 1. assign V837948 = V430676. assign V140619 = V574125 - 1. assign V074886 = V809603 + 1. assign V674286 = V295458 + 1. assign V842694 = V785255. assign V787277 = V863601. assign V181778 = V691765. assign V702097 = V818583 - 1. assign V558977 = V130130 - 1. assign V709813 = V417921 + 1. assign V483338 = V501570 - 1. assign V140725 = V438931. assign V744252 = V859072 + 1. assign V949820 = V852401 - 1. assign V683633 = V809603. assign V518624 = V297572 + 1. assign V647685 = V517949. assign V870303 = V772844 - 1. assign V571489 = V456680 + 1. assign V951240 = V016585 - 1. assign V313561 = V247279. assign V278033 = V794091 + 1. assign V505285 = V555377 + 1. assign V863601 = V873599 - 1. assign V211317 = V278033. assign V269563 = V789992 - 1. assign V097409 = V690601 - 1. assign V794091 = V741967. assign V230871 = V338607 + 1. assign V990515 = V985009 + 1. assign V294929 = V074886 + 1. assign V064396 = V708899 - 1. assign V260657 = V483684. assign V741967 = V483684. assign V346832 = V537783 + 1. assign V768640 = V844760. assign V302116 = V217484. assign V291208 = V874696 - 1. assign V167302 = V611936 + 1. assign V681158 = V003338. assign V767500 = V430676 - 1. assign V673164 = V736042 - 1. assign V042503 = V310705 + 1. assign V310693 = V313561. assign V390668 = V066969 - 1. assign V775561 = V222526 + 1. assign V169550 = V060351. assign V275845 = V148132. assign V094611 = V298989. assign V882480 = V176461. assign V297493 = V504422. assign V669292 = V422295 + 1. assign V922085 = V130130 - 1. assign V213207 = V405440 - 1. assign V356396 = V691411 - 1. assign V709283 = V060351. assign V184542 = V718615 + 1. assign V083034 = V736042 + 1. assign V640029 = V706345 + 1. assign V298989 = V649760 - 1. assign V874063 = V718615 - 1. assign V338607 = V744252. assign V736042 = V690601 + 1. assign V804559 = V166322 + 1. assign V706345 = V958954 + 1. assign V712980 = V599839 - 1. assign V416463 = V483684 - 1. assign V400610 = V744252 + 1. assign V718615 = V963062. assign V392848 = V844760 - 1. assign V930842 = V806119 + 1. assign V858473 = V988573. assign V101714 = V276186. assign V504422 = V427630 - 1. assign V535275 = V217005. assign V943343 = V569120. assign V689724 = V316794. assign V423313 = V380314 + 1. assign V070494 = V669114 - 1. assign V179740 = V416463 + 1. assign V463481 = V922085. assign V538600 = V877463. assign V907827 = V683633 - 1. assign V744051 = V637246. assign V310705 = V504912 + 1. assign V960878 = V338607. assign V149340 = V276694. assign V389020 = V179740 + 1. assign V396763 = V892011. assign V669114 = V873599 + 1. assign V422295 = V210303 + 1. assign V095516 = V602634 + 1. assign V959743 = V971318. assign V220541 = V833113 - 1. assign V015183 = V184542 - 1. assign V130130 = V382843 + 1. assign V406490 = V750031. assign V637246 = V440617 - 1. assign V502692 = V169550 - 1. assign V410092 = V922085 - 1. assign V313920 = V611936 - 1. assign V309210 = V338607 - 1. assign V247279 = V963062. assign V148132 = V405440 + 1. assign V380314 = V736042. assign V939259 = V278228. assign V852535 = V985009 - 1. assign V680202 = V775561. assign V716762 = V003338 + 1. assign V559829 = V683633 - 1. assign V886239 = V967874 + 1. assign V708899 = V844760 + 1. assign V547974 = V364208. assign V091440 = V276694 + 1. assign V088578 = V064396.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV501570 = 7;\n\nFrom these direct assignment(s), we have: \nV483338 = V501570 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V483338;\nV259790 = V501570 + 1 = 7 + 1 =8;\nV013618 = V259790 - 1 = 8 - 1 =7;\nV181324 = V013618 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V181324;\nV273537 = V013618 = 7;\nNo other varaibles can be derived from V273537;\nNo other varaibles can be derived from V013618;\nV327504 = V259790 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V327504;\nV785902 = V259790 = 8;\nV400056 = V785902 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V400056;\nNo other varaibles can be derived from V785902;\nV439438 = V259790 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V439438;\nNo other varaibles can be derived from V259790;\nNo other varaibles can be derived from V501570;\n\nNow we have done all the calculations. Derived variables are:\nV501570 = 7;\nV483338 = 6;\nV259790 = 8;\nV013618 = 7;\nV181324 = 6;\nV273537 = 7;\nV327504 = 9;\nV785902 = 8;\nV400056 = 7;\nV439438 = 7;\n\nNow we have finished this problem. ANSWER:\nV327504\n", "role": "assistant" } ]

[ "V215095", "V274981", "V784530", "V881701" ]

[ { "content": "<context>\nassign V708351 = V022147 + 1. assign V818685 = V478405 + 1. assign V667605 = V398755 + 1. assign V723967 = V557918 + 1. assign V437337 = V402335 + 1. assign V219359 = V189472 - 1. assign V708281 = V611523 - 1. assign V780628 = V798616 + 1. assign V419439 = V636159 - 1. assign V122065 = V231753 - 1. assign V399355 = V139864 + 1. assign V274547 = V187332. assign V146008 = V547477 - 1. assign V810108 = V033201 - 1. assign V786771 = V882931 + 1. assign V972485 = V847333 - 1. assign V274981 = V547822 - 1. assign V673677 = V124056. assign V002113 = V568614 + 1. assign V887505 = V478405 + 1. assign V300534 = V655303. assign V445757 = V966154 - 1. assign V893656 = V287956 + 1. assign V396510 = V330160 + 1. assign V016715 = V390081 - 1. assign V900402 = V906396 - 1. assign V809530 = V868151. assign V735342 = V656039 + 1. assign V053947 = V829579. assign V447990 = V847333 + 1. assign V287956 = V866681 + 1. assign V494422 = V201660 - 1. assign V496384 = V755833. assign V972831 = V651730 - 1. assign V380328 = V038948 - 1. assign V530639 = V009203 - 1. assign V399777 = V924008 + 1. assign V730906 = V258521. assign V419186 = V772481 - 1. assign V485739 = V829579. assign V961367 = V448803. assign V687616 = V398755 + 1. assign V413547 = V009203 + 1. assign V742758 = V231753. assign V123539 = V617321 - 1. assign V465470 = V757287 + 1. assign V628962 = V352319. assign V795860 = V847333. assign V302999 = V072795 + 1. assign V122298 = V398755 + 1. assign V029433 = V827347 - 1. assign V798321 = V829579. assign V755833 = V843285 + 1. assign V358731 = V829579 - 1. assign V427967 = V026810 + 1. assign V465200 = V500201 + 1. assign V444108 = V398755 - 1. assign V793223 = V965060 + 1. assign V490920 = V536173 + 1. assign V586685 = V656039 - 1. assign V666315 = V071590 - 1. assign V849771 = V607094. assign V412492 = V972836 - 1. assign V312978 = V065428 - 1. assign V426822 = V459229. assign V481387 = V986954 - 1. assign V815794 = V885573 + 1. assign V201660 = V852054. assign V847333 = V065428 - 1. assign V181460 = V441667 - 1. assign V556255 = V302999 + 1. assign V617756 = V151069 - 1. assign V479014 = V476205 + 1. assign V449764 = V937279 - 1. assign V697459 = V071590 - 1. assign V032728 = V065428 + 1. assign V992585 = V866681. assign V495464 = V231753 + 1. assign V724692 = V988038 - 1. assign V004485 = V530639 + 1. assign V604693 = V868151. assign V769211 = V499513 - 1. assign V547708 = V605355 - 1. assign V124056 = V798321 + 1. assign V063325 = V072795 + 1. assign V126553 = V293895. assign V398755 = V124056. assign V388291 = V235768. assign V363635 = V847333. assign V113261 = V647130 - 1. assign V820615 = V399777 - 1. assign V398276 = V547477 + 1. assign V337104 = V868151 - 1. assign V308158 = V747170. assign V313190 = V274981 + 1. assign V343691 = V253118. assign V092444 = V536173 + 1. assign V852054 = V574658. assign V441667 = V499513 - 1. assign V356645 = V644945 + 1. assign V636159 = V124056 - 1. assign V574185 = V536173 + 1. assign V772859 = V530553 - 1. assign V016923 = V647130 - 1. assign V590315 = V666141. assign V183754 = V707707 - 1. assign V677456 = V065428 - 1. assign V277756 = V798321. assign V379312 = V008947 - 1. assign V823583 = V408418 - 1. assign V770042 = V358731. assign V257156 = 0. assign V810677 = V902522. assign V562292 = V187332 - 1. assign V568614 = V866681 - 1. assign V215095 = V547822 - 1. assign V771355 = V823583 + 1. assign V951054 = V677690 - 1. assign V260343 = V371680. assign V551448 = V530553. assign V408418 = V847333 - 1. assign V881701 = V274981. assign V478815 = V357928 - 1. assign V265804 = V260343. assign V410653 = V820276 - 1. assign V550746 = V053947 - 1. assign V014219 = V318657 + 1. assign V531419 = V410895 + 1. assign V700788 = V458174 - 1. assign V131501 = V937364. assign V068161 = V556255 + 1. assign V500513 = V951054 + 1. assign V631851 = V201660 + 1. assign V071590 = V604693 - 1. assign V651730 = V413547 + 1. assign V005219 = V893656 + 1. assign V902522 = V237846 - 1. assign V897020 = V381351. assign V151069 = V843285 - 1. assign V995920 = V852054. assign V347696 = V419439. assign V798616 = V885573 - 1. assign V032073 = V277756. assign V576338 = V022147 - 1. assign V237846 = V072795 - 1. assign V494716 = V049826 + 1. assign V352319 = V363635 - 1. assign V550632 = V708281. assign V757287 = V576350 + 1. assign V917906 = V399355 - 1. assign V026810 = V906396. assign V479584 = V465200 + 1. assign V677607 = V201660 - 1. assign V969983 = V644945 + 1. assign V986954 = V972831 - 1. assign V547822 = V257156 - 1. assign V868151 = V829579 + 1. assign V655303 = V966154 + 1. assign V666141 = V667605 + 1. assign V478459 = V723967 + 1. assign V036494 = V530639 + 1. assign V320287 = V673677. assign V948977 = V965060 - 1. assign V474969 = V356645 - 1. assign V972836 = V604693. assign V707175 = V700788 + 1. assign V966846 = V655303. assign V921537 = V852054 + 1. assign V465060 = V151069 + 1. assign V654847 = V189472. assign V269990 = V063325 - 1. assign V033201 = V977578 - 1. assign V820276 = V231143 + 1. assign V521102 = V485739 - 1. assign V893364 = V358731 + 1. assign V049826 = V032728. assign V937364 = V770042 - 1. assign V829579 = V906396 - 1. assign V993162 = V358924 - 1. assign V231143 = V550746 + 1. assign V825193 = V445757 + 1. assign V145479 = V885573 - 1. assign V318657 = V009203 + 1. assign V870342 = V363635 - 1. assign V482856 = V993162 - 1. assign V142743 = V707175. assign V105759 = V823583. assign V965060 = V022147 + 1. assign V113112 = V165534. assign V138695 = V016715. assign V023152 = V847333 - 1. assign V613964 = V478815. assign V656039 = V151069. assign V703368 = V550632 + 1. assign V402335 = V219359 + 1. assign V478405 = V072795 + 1. assign V229536 = V014092 - 1. assign V766842 = V820136. assign V530553 = V847333. assign V499513 = V656039 + 1. assign V442355 = V666315 + 1. assign V330909 = V673677 - 1. assign V966154 = V847333 + 1. assign V022147 = V906396 - 1. assign V487484 = V635102 + 1. assign V853786 = V836932 - 1. assign V165534 = V458174 - 1. assign V009203 = V666315 - 1. assign V891830 = V413547. assign V033823 = V673677 + 1. assign V458174 = V755833 - 1. assign V882931 = V032728 + 1. assign V279118 = V146008 + 1. assign V221304 = V772481. assign V619682 = V739971 + 1. assign V707707 = V843285. assign V351769 = V459229 + 1. assign V965978 = V487484 + 1. assign V547477 = V009203 - 1. assign V138698 = V730906 + 1. assign V038948 = V604693 - 1. assign V140152 = V793223. assign V215605 = V656039 - 1. assign V817760 = V621843 + 1. assign V112259 = V253118 - 1. assign V937279 = V151069 - 1. assign V695424 = V551448 + 1. assign V464000 = V829579. assign V618609 = V557918. assign V843285 = V358731 - 1. assign V490959 = V757287 - 1. assign V317742 = V265935 + 1. assign V000028 = V977578. assign V747170 = V868151 - 1. assign V004078 = V390081 + 1. assign V995355 = V016715 + 1. assign V609839 = V398276 + 1. assign V005856 = V399355 + 1. assign V715557 = V882931 + 1. assign V003591 = V619682 + 1. assign V036551 = V723967 + 1. assign V988038 = V124056. assign V189472 = V651730. assign V852811 = V358924 - 1. assign V404578 = V868151 + 1. assign V974125 = V215095 + 1. assign V500201 = V852054. assign V576350 = V617756 - 1. assign V798203 = V784530 - 1. assign V912959 = V381351. assign V048823 = V924008 + 1. assign V773740 = V647130. assign V060258 = V816878. assign V617321 = V769211 + 1. assign V642272 = V402335 - 1. assign V739971 = V285587 - 1. assign V382162 = V490959 - 1. assign V611523 = V145479 + 1. assign V187332 = V966154. assign V008947 = V885573 - 1. assign V358924 = V464000 - 1. assign V337320 = V730906. assign V617531 = V521102 - 1. assign V808455 = V363635 - 1. assign V084285 = V969983 - 1. assign V140203 = V358924. assign V235768 = V072795. assign V977774 = V033201 - 1. assign V825379 = V442355. assign V072795 = V829579. assign V285587 = V656039 + 1. assign V635102 = V885573 - 1. assign V536173 = V363635. assign V619434 = V730906. assign V459229 = V795860 - 1. assign V924088 = V404578. assign V767834 = V986520. assign V390081 = V287956. assign V265935 = V265804. assign V992002 = V260343 - 1. assign V360278 = V924008. assign V038059 = V380328. assign V607094 = V381351 + 1. assign V448803 = V049826 + 1. assign V770542 = V033823 + 1. assign V975251 = V402335. assign V014092 = V651730. assign V988745 = V747170. assign V816878 = V312978. assign V371680 = V829579 + 1. assign V390725 = V823583 - 1. assign V318781 = V547822. assign V395955 = V459229 - 1. assign V330160 = V636159 + 1. assign V162647 = V906396. assign V084461 = V352319. assign V677690 = V644945 + 1. assign V405235 = V770042 - 1. assign V866681 = V022147. assign V836932 = V419186 - 1. assign V175209 = V673677. assign V605355 = V551448. assign V293895 = V866681 + 1. assign V556449 = V829579 - 1. assign V181902 = V977578. assign V574658 = V906396 + 1. assign V821889 = V798321 + 1. assign V323931 = V666315 + 1. assign V784530 = V313190 - 1. assign V557918 = V893364 - 1. assign V621843 = V965060 - 1. assign V071392 = V442355 + 1. assign V537981 = V995483. assign V258521 = V604693 - 1. assign V689748 = V669417 + 1. assign V772481 = V673677 + 1. assign V299129 = V688488. assign V410895 = V816878. assign V724580 = V494422 + 1. assign V404354 = V478459 + 1. assign V230280 = V755833. assign V986520 = V287956 - 1. assign V827347 = V866681 + 1. assign V206016 = V237846 + 1. assign V253118 = V816878. assign V669417 = V820136. assign V673520 = V885573 - 1. assign V824332 = V105759 - 1. assign V065428 = V829579 - 1. assign V749793 = V536173. assign V254869 = V669417 + 1. assign V885573 = V852054 - 1. assign V644945 = V371680. assign V101435 = V388291 - 1. assign V820136 = V413547 - 1. assign V381351 = V302999 + 1. assign V345150 = V521102 - 1. assign V139864 = V530639 - 1. assign V647130 = V358731 - 1. assign V995483 = V536173. assign V039791 = V770042. assign V468253 = V868151 + 1. assign V476205 = V677607 - 1. assign V924008 = V293895. assign V231753 = V868151. assign V977578 = V576350 + 1. assign V526060 = V494716. assign V688488 = V530553 - 1. assign V357928 = V815794 + 1. assign V478819 = V357928. assign V191269 = V617756 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V708351 = V022147 + 1. assign V818685 = V478405 + 1. assign V667605 = V398755 + 1. assign V723967 = V557918 + 1. assign V437337 = V402335 + 1. assign V219359 = V189472 - 1. assign V708281 = V611523 - 1. assign V780628 = V798616 + 1. assign V419439 = V636159 - 1. assign V122065 = V231753 - 1. assign V399355 = V139864 + 1. assign V274547 = V187332. assign V146008 = V547477 - 1. assign V810108 = V033201 - 1. assign V786771 = V882931 + 1. assign V972485 = V847333 - 1. assign V274981 = V547822 - 1. assign V673677 = V124056. assign V002113 = V568614 + 1. assign V887505 = V478405 + 1. assign V300534 = V655303. assign V445757 = V966154 - 1. assign V893656 = V287956 + 1. assign V396510 = V330160 + 1. assign V016715 = V390081 - 1. assign V900402 = V906396 - 1. assign V809530 = V868151. assign V735342 = V656039 + 1. assign V053947 = V829579. assign V447990 = V847333 + 1. assign V287956 = V866681 + 1. assign V494422 = V201660 - 1. assign V496384 = V755833. assign V972831 = V651730 - 1. assign V380328 = V038948 - 1. assign V530639 = V009203 - 1. assign V399777 = V924008 + 1. assign V730906 = V258521. assign V419186 = V772481 - 1. assign V485739 = V829579. assign V961367 = V448803. assign V687616 = V398755 + 1. assign V413547 = V009203 + 1. assign V742758 = V231753. assign V123539 = V617321 - 1. assign V465470 = V757287 + 1. assign V628962 = V352319. assign V795860 = V847333. assign V302999 = V072795 + 1. assign V122298 = V398755 + 1. assign V029433 = V827347 - 1. assign V798321 = V829579. assign V755833 = V843285 + 1. assign V358731 = V829579 - 1. assign V427967 = V026810 + 1. assign V465200 = V500201 + 1. assign V444108 = V398755 - 1. assign V793223 = V965060 + 1. assign V490920 = V536173 + 1. assign V586685 = V656039 - 1. assign V666315 = V071590 - 1. assign V849771 = V607094. assign V412492 = V972836 - 1. assign V312978 = V065428 - 1. assign V426822 = V459229. assign V481387 = V986954 - 1. assign V815794 = V885573 + 1. assign V201660 = V852054. assign V847333 = V065428 - 1. assign V181460 = V441667 - 1. assign V556255 = V302999 + 1. assign V617756 = V151069 - 1. assign V479014 = V476205 + 1. assign V449764 = V937279 - 1. assign V697459 = V071590 - 1. assign V032728 = V065428 + 1. assign V992585 = V866681. assign V495464 = V231753 + 1. assign V724692 = V988038 - 1. assign V004485 = V530639 + 1. assign V604693 = V868151. assign V769211 = V499513 - 1. assign V547708 = V605355 - 1. assign V124056 = V798321 + 1. assign V063325 = V072795 + 1. assign V126553 = V293895. assign V398755 = V124056. assign V388291 = V235768. assign V363635 = V847333. assign V113261 = V647130 - 1. assign V820615 = V399777 - 1. assign V398276 = V547477 + 1. assign V337104 = V868151 - 1. assign V308158 = V747170. assign V313190 = V274981 + 1. assign V343691 = V253118. assign V092444 = V536173 + 1. assign V852054 = V574658. assign V441667 = V499513 - 1. assign V356645 = V644945 + 1. assign V636159 = V124056 - 1. assign V574185 = V536173 + 1. assign V772859 = V530553 - 1. assign V016923 = V647130 - 1. assign V590315 = V666141. assign V183754 = V707707 - 1. assign V677456 = V065428 - 1. assign V277756 = V798321. assign V379312 = V008947 - 1. assign V823583 = V408418 - 1. assign V770042 = V358731. assign V257156 = 0. assign V810677 = V902522. assign V562292 = V187332 - 1. assign V568614 = V866681 - 1. assign V215095 = V547822 - 1. assign V771355 = V823583 + 1. assign V951054 = V677690 - 1. assign V260343 = V371680. assign V551448 = V530553. assign V408418 = V847333 - 1. assign V881701 = V274981. assign V478815 = V357928 - 1. assign V265804 = V260343. assign V410653 = V820276 - 1. assign V550746 = V053947 - 1. assign V014219 = V318657 + 1. assign V531419 = V410895 + 1. assign V700788 = V458174 - 1. assign V131501 = V937364. assign V068161 = V556255 + 1. assign V500513 = V951054 + 1. assign V631851 = V201660 + 1. assign V071590 = V604693 - 1. assign V651730 = V413547 + 1. assign V005219 = V893656 + 1. assign V902522 = V237846 - 1. assign V897020 = V381351. assign V151069 = V843285 - 1. assign V995920 = V852054. assign V347696 = V419439. assign V798616 = V885573 - 1. assign V032073 = V277756. assign V576338 = V022147 - 1. assign V237846 = V072795 - 1. assign V494716 = V049826 + 1. assign V352319 = V363635 - 1. assign V550632 = V708281. assign V757287 = V576350 + 1. assign V917906 = V399355 - 1. assign V026810 = V906396. assign V479584 = V465200 + 1. assign V677607 = V201660 - 1. assign V969983 = V644945 + 1. assign V986954 = V972831 - 1. assign V547822 = V257156 - 1. assign V868151 = V829579 + 1. assign V655303 = V966154 + 1. assign V666141 = V667605 + 1. assign V478459 = V723967 + 1. assign V036494 = V530639 + 1. assign V320287 = V673677. assign V948977 = V965060 - 1. assign V474969 = V356645 - 1. assign V972836 = V604693. assign V707175 = V700788 + 1. assign V966846 = V655303. assign V921537 = V852054 + 1. assign V465060 = V151069 + 1. assign V654847 = V189472. assign V269990 = V063325 - 1. assign V033201 = V977578 - 1. assign V820276 = V231143 + 1. assign V521102 = V485739 - 1. assign V893364 = V358731 + 1. assign V049826 = V032728. assign V937364 = V770042 - 1. assign V829579 = V906396 - 1. assign V993162 = V358924 - 1. assign V231143 = V550746 + 1. assign V825193 = V445757 + 1. assign V145479 = V885573 - 1. assign V318657 = V009203 + 1. assign V870342 = V363635 - 1. assign V482856 = V993162 - 1. assign V142743 = V707175. assign V105759 = V823583. assign V965060 = V022147 + 1. assign V113112 = V165534. assign V138695 = V016715. assign V023152 = V847333 - 1. assign V613964 = V478815. assign V656039 = V151069. assign V703368 = V550632 + 1. assign V402335 = V219359 + 1. assign V478405 = V072795 + 1. assign V229536 = V014092 - 1. assign V766842 = V820136. assign V530553 = V847333. assign V499513 = V656039 + 1. assign V442355 = V666315 + 1. assign V330909 = V673677 - 1. assign V966154 = V847333 + 1. assign V022147 = V906396 - 1. assign V487484 = V635102 + 1. assign V853786 = V836932 - 1. assign V165534 = V458174 - 1. assign V009203 = V666315 - 1. assign V891830 = V413547. assign V033823 = V673677 + 1. assign V458174 = V755833 - 1. assign V882931 = V032728 + 1. assign V279118 = V146008 + 1. assign V221304 = V772481. assign V619682 = V739971 + 1. assign V707707 = V843285. assign V351769 = V459229 + 1. assign V965978 = V487484 + 1. assign V547477 = V009203 - 1. assign V138698 = V730906 + 1. assign V038948 = V604693 - 1. assign V140152 = V793223. assign V215605 = V656039 - 1. assign V817760 = V621843 + 1. assign V112259 = V253118 - 1. assign V937279 = V151069 - 1. assign V695424 = V551448 + 1. assign V464000 = V829579. assign V618609 = V557918. assign V843285 = V358731 - 1. assign V490959 = V757287 - 1. assign V317742 = V265935 + 1. assign V000028 = V977578. assign V747170 = V868151 - 1. assign V004078 = V390081 + 1. assign V995355 = V016715 + 1. assign V609839 = V398276 + 1. assign V005856 = V399355 + 1. assign V715557 = V882931 + 1. assign V003591 = V619682 + 1. assign V036551 = V723967 + 1. assign V988038 = V124056. assign V189472 = V651730. assign V852811 = V358924 - 1. assign V404578 = V868151 + 1. assign V974125 = V215095 + 1. assign V500201 = V852054. assign V576350 = V617756 - 1. assign V798203 = V784530 - 1. assign V912959 = V381351. assign V048823 = V924008 + 1. assign V773740 = V647130. assign V060258 = V816878. assign V617321 = V769211 + 1. assign V642272 = V402335 - 1. assign V739971 = V285587 - 1. assign V382162 = V490959 - 1. assign V611523 = V145479 + 1. assign V187332 = V966154. assign V008947 = V885573 - 1. assign V358924 = V464000 - 1. assign V337320 = V730906. assign V617531 = V521102 - 1. assign V808455 = V363635 - 1. assign V084285 = V969983 - 1. assign V140203 = V358924. assign V235768 = V072795. assign V977774 = V033201 - 1. assign V825379 = V442355. assign V072795 = V829579. assign V285587 = V656039 + 1. assign V635102 = V885573 - 1. assign V536173 = V363635. assign V619434 = V730906. assign V459229 = V795860 - 1. assign V924088 = V404578. assign V767834 = V986520. assign V390081 = V287956. assign V265935 = V265804. assign V992002 = V260343 - 1. assign V360278 = V924008. assign V038059 = V380328. assign V607094 = V381351 + 1. assign V448803 = V049826 + 1. assign V770542 = V033823 + 1. assign V975251 = V402335. assign V014092 = V651730. assign V988745 = V747170. assign V816878 = V312978. assign V371680 = V829579 + 1. assign V390725 = V823583 - 1. assign V318781 = V547822. assign V395955 = V459229 - 1. assign V330160 = V636159 + 1. assign V162647 = V906396. assign V084461 = V352319. assign V677690 = V644945 + 1. assign V405235 = V770042 - 1. assign V866681 = V022147. assign V836932 = V419186 - 1. assign V175209 = V673677. assign V605355 = V551448. assign V293895 = V866681 + 1. assign V556449 = V829579 - 1. assign V181902 = V977578. assign V574658 = V906396 + 1. assign V821889 = V798321 + 1. assign V323931 = V666315 + 1. assign V784530 = V313190 - 1. assign V557918 = V893364 - 1. assign V621843 = V965060 - 1. assign V071392 = V442355 + 1. assign V537981 = V995483. assign V258521 = V604693 - 1. assign V689748 = V669417 + 1. assign V772481 = V673677 + 1. assign V299129 = V688488. assign V410895 = V816878. assign V724580 = V494422 + 1. assign V404354 = V478459 + 1. assign V230280 = V755833. assign V986520 = V287956 - 1. assign V827347 = V866681 + 1. assign V206016 = V237846 + 1. assign V253118 = V816878. assign V669417 = V820136. assign V673520 = V885573 - 1. assign V824332 = V105759 - 1. assign V065428 = V829579 - 1. assign V749793 = V536173. assign V254869 = V669417 + 1. assign V885573 = V852054 - 1. assign V644945 = V371680. assign V101435 = V388291 - 1. assign V820136 = V413547 - 1. assign V381351 = V302999 + 1. assign V345150 = V521102 - 1. assign V139864 = V530639 - 1. assign V647130 = V358731 - 1. assign V995483 = V536173. assign V039791 = V770042. assign V468253 = V868151 + 1. assign V476205 = V677607 - 1. assign V924008 = V293895. assign V231753 = V868151. assign V977578 = V576350 + 1. assign V526060 = V494716. assign V688488 = V530553 - 1. assign V357928 = V815794 + 1. assign V478819 = V357928. assign V191269 = V617756 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV257156 = 0;\n\nFrom these direct assignment(s), we have: \nV547822 = V257156 - 1 = 0 - 1 =-1;\nV318781 = V547822 = -1;\nNo other varaibles can be derived from V318781;\nV215095 = V547822 - 1 = -1 - 1 =-2;\nV974125 = V215095 + 1 = -2 + 1 =-1;\nNo other varaibles can be derived from V974125;\nNo other varaibles can be derived from V215095;\nV274981 = V547822 - 1 = -1 - 1 =-2;\nV881701 = V274981 = -2;\nNo other varaibles can be derived from V881701;\nV313190 = V274981 + 1 = -2 + 1 =-1;\nV784530 = V313190 - 1 = -1 - 1 =-2;\nV798203 = V784530 - 1 = -2 - 1 =-3;\nNo other varaibles can be derived from V798203;\nNo other varaibles can be derived from V784530;\nNo other varaibles can be derived from V313190;\nNo other varaibles can be derived from V274981;\nNo other varaibles can be derived from V547822;\nNo other varaibles can be derived from V257156;\n\nNow we have done all the calculations. Derived variables are:\nV257156 = 0;\nV547822 = -1;\nV318781 = -1;\nV215095 = -2;\nV974125 = -1;\nV274981 = -2;\nV881701 = -2;\nV313190 = -1;\nV784530 = -2;\nV798203 = -3;\n\nNow we have finished this problem. ANSWER:\nV215095, V274981, V881701, V784530\n", "role": "assistant" } ]

[ "V011800", "V576096", "V271445" ]

[ { "content": "<context>\nassign V016554 = V774221. assign V504068 = V475872 + 1. assign V071389 = V019688 + 1. assign V432320 = V064716. assign V607626 = V363207. assign V805520 = V439226 - 1. assign V720495 = V349710 + 1. assign V054313 = V288846 - 1. assign V657742 = V696734 - 1. assign V111568 = V005653 - 1. assign V649701 = V819161. assign V600349 = V388370. assign V044355 = V310501 + 1. assign V534365 = V824326 + 1. assign V026293 = V202522 + 1. assign V969933 = V337189. assign V893596 = V272005 + 1. assign V162012 = V479912 + 1. assign V308301 = V486151 + 1. assign V014162 = V240405 - 1. assign V133177 = V083159. assign V352673 = V871215 + 1. assign V215800 = V773723. assign V856519 = V476967 - 1. assign V064716 = V615864 + 1. assign V968512 = V370978 + 1. assign V029008 = V829707 + 1. assign V293592 = V395984. assign V849998 = V875754. assign V134920 = V205375. assign V881001 = V014789 - 1. assign V023736 = V651813 + 1. assign V382035 = V580329 - 1. assign V955353 = V836648. assign V876269 = V657742. assign V067942 = V544150. assign V204051 = V252092. assign V363207 = V067227 + 1. assign V812177 = V445540. assign V718369 = V596143. assign V856262 = V653021 - 1. assign V465820 = V186920. assign V293796 = V820621 - 1. assign V471246 = V023736. assign V006604 = V255857 + 1. assign V067227 = V820621. assign V019688 = V829479 - 1. assign V458299 = V475872 + 1. assign V186920 = V718369 - 1. assign V896356 = V205375 + 1. assign V146015 = V349293 + 1. assign V430020 = V514703 - 1. assign V173670 = V641605 + 1. assign V975091 = V182936. assign V549998 = V043486 - 1. assign V983265 = V880009. assign V247264 = V503318. assign V819161 = V047535 - 1. assign V446457 = V960745. assign V395901 = V696734 - 1. assign V343252 = V075966. assign V544549 = V582624 - 1. assign V240405 = V139508. assign V503318 = V094619 + 1. assign V013636 = V655037 - 1. assign V719672 = V047535 - 1. assign V888329 = V293796. assign V502930 = V601112. assign V875754 = V293796. assign V446661 = V580329 + 1. assign V972657 = V285864 - 1. assign V255857 = V215800 - 1. assign V418288 = V207301 + 1. assign V457049 = V911623 - 1. assign V601112 = V871215 + 1. assign V774221 = V653021. assign V261996 = V449835 + 1. assign V970224 = V006834 + 1. assign V911623 = V432320 + 1. assign V337189 = V359979. assign V531810 = V272005 + 1. assign V224972 = V503318 + 1. assign V429706 = V363207 + 1. assign V615864 = V094619 - 1. assign V697698 = V718369 - 1. assign V079824 = V720495. assign V655037 = V505649. assign V454695 = V596143. assign V577544 = V641605 - 1. assign V579110 = V488315. assign V602587 = V264546 - 1. assign V117772 = V349710 + 1. assign V349293 = V272005 - 1. assign V773723 = V615864. assign V298865 = V689542. assign V278200 = V779645 - 1. assign V274502 = V607167 - 1. assign V735421 = V476967. assign V702277 = V432320 + 1. assign V950483 = V710420. assign V544150 = V970224 + 1. assign V863766 = V060916 + 1. assign V655609 = V038248. assign V398402 = V726051. assign V379444 = V621846. assign V498239 = V863766. assign V576096 = V621846 - 1. assign V310501 = V841169 + 1. assign V131167 = V875754 + 1. assign V757395 = V880009 - 1. assign V199653 = V458703. assign V212110 = V153640 + 1. assign V528080 = V848366 - 1. assign V621846 = V011800 + 1. assign V107830 = V871224 - 1. assign V328753 = V229297 - 1. assign V088923 = V106341 - 1. assign V710420 = V133177. assign V955793 = V207669 + 1. assign V047535 = V773723 - 1. assign V201792 = V486151. assign V948461 = V047535. assign V146025 = V100910 + 1. assign V232877 = V503318. assign V106341 = V047535 - 1. assign V215695 = V750561 + 1. assign V488686 = V549998 + 1. assign V055770 = V576096 + 1. assign V618751 = V399901 - 1. assign V982614 = V129201 - 1. assign V075966 = V445540. assign V607167 = V067227. assign V865731 = V154312. assign V651813 = V610172. assign V614716 = V503318. assign V826081 = V775714. assign V455451 = V719672. assign V034020 = V449835 - 1. assign V641605 = V272005 - 1. assign V615946 = V842768 + 1. assign V172033 = V293796 - 1. assign V454850 = V011800 + 1. assign V588401 = V207301 + 1. assign V610172 = V773723 - 1. assign V779645 = V432320 + 1. assign V488315 = V129201 + 1. assign V129201 = V445540. assign V206338 = V520341. assign V125580 = V265827 - 1. assign V370978 = V200211 - 1. assign V662872 = V529940. assign V547165 = V492890. assign V653021 = V445540. assign V608704 = V133177. assign V634672 = V891372 - 1. assign V819809 = V649701 - 1. assign V557109 = V955353 - 1. assign V492890 = V641605 - 1. assign V449835 = V005653. assign V006834 = V255857 + 1. assign V458703 = V970224 - 1. assign V623021 = V134155 + 1. assign V960745 = V349293 + 1. assign V602325 = V359979 - 1. assign V481878 = V272005 - 1. assign V909261 = V265827 - 1. assign V982521 = V875754 - 1. assign V607671 = V975091 + 1. assign V658248 = V255857 - 1. assign V332252 = V710420. assign V842768 = V580329 + 1. assign V878607 = V472014 - 1. assign V402804 = V726051 + 1. assign V094349 = V623021 - 1. assign V205375 = V094619 + 1. assign V633737 = V627367 - 1. assign V445540 = V718369 - 1. assign V926121 = V303301 - 1. assign V538758 = V363207 - 1. assign V809267 = V681024. assign V781739 = V970224. assign V182936 = V651813 + 1. assign V547280 = V529940 + 1. assign V100910 = V495043. assign V349710 = V848366 - 1. assign V468626 = V842768. assign V378345 = V850870 - 1. assign V277992 = V514703 + 1. assign V009564 = V611455 + 1. assign V424209 = V708669 - 1. assign V303301 = V809267 - 1. assign V041237 = V011800 - 1. assign V871215 = V615864 - 1. assign V292271 = V871215 + 1. assign V983010 = V911623 - 1. assign V620580 = V819161 - 1. assign V665498 = V184496 + 1. assign V850870 = V476125 + 1. assign V287822 = V620580 + 1. assign V011800 = 4. assign V799622 = V544549 + 1. assign V797063 = V826081 - 1. assign V323803 = V327591 - 1. assign V836185 = V848366. assign V475872 = V067942 - 1. assign V901254 = V697698 - 1. assign V003153 = V134155 - 1. assign V092596 = V666725 - 1. assign V232290 = V116940 + 1. assign V398992 = V285864. assign V479912 = V067227 - 1. assign V559732 = V826081 + 1. assign V854863 = V319435 - 1. assign V944934 = V594820. assign V139508 = V848366. assign V620228 = V014789 - 1. assign V361746 = V232877 + 1. assign V116940 = V293796. assign V202522 = V276826 - 1. assign V265827 = V445540 + 1. assign V153640 = V601112 - 1. assign V168400 = V201792 - 1. assign V836648 = V819161. assign V594820 = V117772 - 1. assign V254898 = V607167 - 1. assign V655564 = V327591 + 1. assign V001925 = V395901. assign V315736 = V418288 + 1. assign V319435 = V293796 + 1. assign V528283 = V975091. assign V340848 = V116940 - 1. assign V272005 = V139508 - 1. assign V619176 = V514703 + 1. assign V524971 = V288846. assign V514703 = V681024 - 1. assign V611455 = V276826. assign V949972 = V116940 - 1. assign V529940 = V949972 - 1. assign V844323 = V371395. assign V681024 = V319435. assign V264546 = V019688. assign V209330 = V710420 + 1. assign V891372 = V663325. assign V871224 = V255857 - 1. assign V083159 = V060916 + 1. assign V882677 = V146025. assign V495335 = V202522 - 1. assign V787067 = V446457 + 1. assign V824326 = V615864. assign V439226 = V014789 + 1. assign V718245 = V315736 + 1. assign V154312 = V083159 - 1. assign V710698 = V398402. assign V435680 = V288846. assign V775714 = V293796 + 1. assign V831251 = V627367 + 1. assign V829479 = V824326. assign V637607 = V117772. assign V472014 = V254898 - 1. assign V596143 = V824326. assign V218353 = V775714. assign V888195 = V615864 - 1. assign V310338 = V363207 + 1. assign V802987 = V505649. assign V378784 = V060916 - 1. assign V476125 = V882677. assign V957527 = V014789 - 1. assign V632741 = V580329 + 1. assign V207301 = V255857 - 1. assign V437512 = V382035 + 1. assign V134155 = V524971. assign V837832 = V117772. assign V395984 = V955353 + 1. assign V968256 = V251069. assign V978740 = V207301 - 1. assign V221991 = V323803. assign V061892 = V681024 - 1. assign V045791 = V458703 - 1. assign V979128 = V398402. assign V288846 = V186920. assign V445809 = V100910 + 1. assign V083345 = V820621 - 1. assign V060916 = V842768 + 1. assign V268251 = V272005 - 1. assign V207669 = V468626 + 1. assign V750561 = V955353. assign V271445 = V621846 - 1. assign V094619 = V293796 + 1. assign V828595 = V395984 + 1. assign V929942 = V948461. assign V014789 = V651813. assign V184496 = V254898. assign V689542 = V125580 - 1. assign V229297 = V710420. assign V188789 = V620228 - 1. assign V505649 = V116940. assign V327591 = V949972 - 1. assign V285864 = V116940 - 1. assign V754128 = V809267 - 1. assign V276826 = V601112. assign V084065 = V445540 + 1. assign V251069 = V349293 + 1. assign V841169 = V293796 - 1. assign V389685 = V276826. assign V627367 = V848366 - 1. assign V371770 = V607167 + 1. assign V064039 = V600349. assign V972750 = V247264 - 1. assign V933700 = V075966 + 1. assign V361706 = V446661 - 1. assign V252092 = V465820. assign V974352 = V261996. assign V848366 = V064716 - 1. assign V663325 = V726051 + 1. assign V537850 = V829479. assign V476967 = V232877 - 1. assign V495043 = V064716. assign V665034 = V468626 + 1. assign V582624 = V023736 + 1. assign V829838 = V207669. assign V708669 = V529940. assign V641010 = V514703. assign V200211 = V842768 - 1. assign V829707 = V445540 - 1. assign V038248 = V100910 + 1. assign V568940 = V454850 + 1. assign V388370 = V094619 + 1. assign V696734 = V293796 + 1. assign V371395 = V651813 - 1. assign V350796 = V663325. assign V880009 = V293796 + 1. assign V359979 = V146015. assign V623881 = V315736. assign V399901 = V265827. assign V723232 = V388370 - 1. assign V549980 = V909261 + 1. assign V870393 = V379444 + 1. assign V893017 = V819161. assign V520341 = V006604. assign V005653 = V139508. assign V043486 = V495043 - 1. assign V181340 = V399901 + 1. assign V726051 = V627367 - 1. assign V580329 = V064716 - 1. assign V138081 = V588401 + 1. assign V275773 = V577544 + 1. assign V486151 = V293796 + 1. assign V866566 = V310501. assign V243241 = V723232 + 1. assign V186112 = V750561. assign V666725 = V842768 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V016554 = V774221. assign V504068 = V475872 + 1. assign V071389 = V019688 + 1. assign V432320 = V064716. assign V607626 = V363207. assign V805520 = V439226 - 1. assign V720495 = V349710 + 1. assign V054313 = V288846 - 1. assign V657742 = V696734 - 1. assign V111568 = V005653 - 1. assign V649701 = V819161. assign V600349 = V388370. assign V044355 = V310501 + 1. assign V534365 = V824326 + 1. assign V026293 = V202522 + 1. assign V969933 = V337189. assign V893596 = V272005 + 1. assign V162012 = V479912 + 1. assign V308301 = V486151 + 1. assign V014162 = V240405 - 1. assign V133177 = V083159. assign V352673 = V871215 + 1. assign V215800 = V773723. assign V856519 = V476967 - 1. assign V064716 = V615864 + 1. assign V968512 = V370978 + 1. assign V029008 = V829707 + 1. assign V293592 = V395984. assign V849998 = V875754. assign V134920 = V205375. assign V881001 = V014789 - 1. assign V023736 = V651813 + 1. assign V382035 = V580329 - 1. assign V955353 = V836648. assign V876269 = V657742. assign V067942 = V544150. assign V204051 = V252092. assign V363207 = V067227 + 1. assign V812177 = V445540. assign V718369 = V596143. assign V856262 = V653021 - 1. assign V465820 = V186920. assign V293796 = V820621 - 1. assign V471246 = V023736. assign V006604 = V255857 + 1. assign V067227 = V820621. assign V019688 = V829479 - 1. assign V458299 = V475872 + 1. assign V186920 = V718369 - 1. assign V896356 = V205375 + 1. assign V146015 = V349293 + 1. assign V430020 = V514703 - 1. assign V173670 = V641605 + 1. assign V975091 = V182936. assign V549998 = V043486 - 1. assign V983265 = V880009. assign V247264 = V503318. assign V819161 = V047535 - 1. assign V446457 = V960745. assign V395901 = V696734 - 1. assign V343252 = V075966. assign V544549 = V582624 - 1. assign V240405 = V139508. assign V503318 = V094619 + 1. assign V013636 = V655037 - 1. assign V719672 = V047535 - 1. assign V888329 = V293796. assign V502930 = V601112. assign V875754 = V293796. assign V446661 = V580329 + 1. assign V972657 = V285864 - 1. assign V255857 = V215800 - 1. assign V418288 = V207301 + 1. assign V457049 = V911623 - 1. assign V601112 = V871215 + 1. assign V774221 = V653021. assign V261996 = V449835 + 1. assign V970224 = V006834 + 1. assign V911623 = V432320 + 1. assign V337189 = V359979. assign V531810 = V272005 + 1. assign V224972 = V503318 + 1. assign V429706 = V363207 + 1. assign V615864 = V094619 - 1. assign V697698 = V718369 - 1. assign V079824 = V720495. assign V655037 = V505649. assign V454695 = V596143. assign V577544 = V641605 - 1. assign V579110 = V488315. assign V602587 = V264546 - 1. assign V117772 = V349710 + 1. assign V349293 = V272005 - 1. assign V773723 = V615864. assign V298865 = V689542. assign V278200 = V779645 - 1. assign V274502 = V607167 - 1. assign V735421 = V476967. assign V702277 = V432320 + 1. assign V950483 = V710420. assign V544150 = V970224 + 1. assign V863766 = V060916 + 1. assign V655609 = V038248. assign V398402 = V726051. assign V379444 = V621846. assign V498239 = V863766. assign V576096 = V621846 - 1. assign V310501 = V841169 + 1. assign V131167 = V875754 + 1. assign V757395 = V880009 - 1. assign V199653 = V458703. assign V212110 = V153640 + 1. assign V528080 = V848366 - 1. assign V621846 = V011800 + 1. assign V107830 = V871224 - 1. assign V328753 = V229297 - 1. assign V088923 = V106341 - 1. assign V710420 = V133177. assign V955793 = V207669 + 1. assign V047535 = V773723 - 1. assign V201792 = V486151. assign V948461 = V047535. assign V146025 = V100910 + 1. assign V232877 = V503318. assign V106341 = V047535 - 1. assign V215695 = V750561 + 1. assign V488686 = V549998 + 1. assign V055770 = V576096 + 1. assign V618751 = V399901 - 1. assign V982614 = V129201 - 1. assign V075966 = V445540. assign V607167 = V067227. assign V865731 = V154312. assign V651813 = V610172. assign V614716 = V503318. assign V826081 = V775714. assign V455451 = V719672. assign V034020 = V449835 - 1. assign V641605 = V272005 - 1. assign V615946 = V842768 + 1. assign V172033 = V293796 - 1. assign V454850 = V011800 + 1. assign V588401 = V207301 + 1. assign V610172 = V773723 - 1. assign V779645 = V432320 + 1. assign V488315 = V129201 + 1. assign V129201 = V445540. assign V206338 = V520341. assign V125580 = V265827 - 1. assign V370978 = V200211 - 1. assign V662872 = V529940. assign V547165 = V492890. assign V653021 = V445540. assign V608704 = V133177. assign V634672 = V891372 - 1. assign V819809 = V649701 - 1. assign V557109 = V955353 - 1. assign V492890 = V641605 - 1. assign V449835 = V005653. assign V006834 = V255857 + 1. assign V458703 = V970224 - 1. assign V623021 = V134155 + 1. assign V960745 = V349293 + 1. assign V602325 = V359979 - 1. assign V481878 = V272005 - 1. assign V909261 = V265827 - 1. assign V982521 = V875754 - 1. assign V607671 = V975091 + 1. assign V658248 = V255857 - 1. assign V332252 = V710420. assign V842768 = V580329 + 1. assign V878607 = V472014 - 1. assign V402804 = V726051 + 1. assign V094349 = V623021 - 1. assign V205375 = V094619 + 1. assign V633737 = V627367 - 1. assign V445540 = V718369 - 1. assign V926121 = V303301 - 1. assign V538758 = V363207 - 1. assign V809267 = V681024. assign V781739 = V970224. assign V182936 = V651813 + 1. assign V547280 = V529940 + 1. assign V100910 = V495043. assign V349710 = V848366 - 1. assign V468626 = V842768. assign V378345 = V850870 - 1. assign V277992 = V514703 + 1. assign V009564 = V611455 + 1. assign V424209 = V708669 - 1. assign V303301 = V809267 - 1. assign V041237 = V011800 - 1. assign V871215 = V615864 - 1. assign V292271 = V871215 + 1. assign V983010 = V911623 - 1. assign V620580 = V819161 - 1. assign V665498 = V184496 + 1. assign V850870 = V476125 + 1. assign V287822 = V620580 + 1. assign V011800 = 4. assign V799622 = V544549 + 1. assign V797063 = V826081 - 1. assign V323803 = V327591 - 1. assign V836185 = V848366. assign V475872 = V067942 - 1. assign V901254 = V697698 - 1. assign V003153 = V134155 - 1. assign V092596 = V666725 - 1. assign V232290 = V116940 + 1. assign V398992 = V285864. assign V479912 = V067227 - 1. assign V559732 = V826081 + 1. assign V854863 = V319435 - 1. assign V944934 = V594820. assign V139508 = V848366. assign V620228 = V014789 - 1. assign V361746 = V232877 + 1. assign V116940 = V293796. assign V202522 = V276826 - 1. assign V265827 = V445540 + 1. assign V153640 = V601112 - 1. assign V168400 = V201792 - 1. assign V836648 = V819161. assign V594820 = V117772 - 1. assign V254898 = V607167 - 1. assign V655564 = V327591 + 1. assign V001925 = V395901. assign V315736 = V418288 + 1. assign V319435 = V293796 + 1. assign V528283 = V975091. assign V340848 = V116940 - 1. assign V272005 = V139508 - 1. assign V619176 = V514703 + 1. assign V524971 = V288846. assign V514703 = V681024 - 1. assign V611455 = V276826. assign V949972 = V116940 - 1. assign V529940 = V949972 - 1. assign V844323 = V371395. assign V681024 = V319435. assign V264546 = V019688. assign V209330 = V710420 + 1. assign V891372 = V663325. assign V871224 = V255857 - 1. assign V083159 = V060916 + 1. assign V882677 = V146025. assign V495335 = V202522 - 1. assign V787067 = V446457 + 1. assign V824326 = V615864. assign V439226 = V014789 + 1. assign V718245 = V315736 + 1. assign V154312 = V083159 - 1. assign V710698 = V398402. assign V435680 = V288846. assign V775714 = V293796 + 1. assign V831251 = V627367 + 1. assign V829479 = V824326. assign V637607 = V117772. assign V472014 = V254898 - 1. assign V596143 = V824326. assign V218353 = V775714. assign V888195 = V615864 - 1. assign V310338 = V363207 + 1. assign V802987 = V505649. assign V378784 = V060916 - 1. assign V476125 = V882677. assign V957527 = V014789 - 1. assign V632741 = V580329 + 1. assign V207301 = V255857 - 1. assign V437512 = V382035 + 1. assign V134155 = V524971. assign V837832 = V117772. assign V395984 = V955353 + 1. assign V968256 = V251069. assign V978740 = V207301 - 1. assign V221991 = V323803. assign V061892 = V681024 - 1. assign V045791 = V458703 - 1. assign V979128 = V398402. assign V288846 = V186920. assign V445809 = V100910 + 1. assign V083345 = V820621 - 1. assign V060916 = V842768 + 1. assign V268251 = V272005 - 1. assign V207669 = V468626 + 1. assign V750561 = V955353. assign V271445 = V621846 - 1. assign V094619 = V293796 + 1. assign V828595 = V395984 + 1. assign V929942 = V948461. assign V014789 = V651813. assign V184496 = V254898. assign V689542 = V125580 - 1. assign V229297 = V710420. assign V188789 = V620228 - 1. assign V505649 = V116940. assign V327591 = V949972 - 1. assign V285864 = V116940 - 1. assign V754128 = V809267 - 1. assign V276826 = V601112. assign V084065 = V445540 + 1. assign V251069 = V349293 + 1. assign V841169 = V293796 - 1. assign V389685 = V276826. assign V627367 = V848366 - 1. assign V371770 = V607167 + 1. assign V064039 = V600349. assign V972750 = V247264 - 1. assign V933700 = V075966 + 1. assign V361706 = V446661 - 1. assign V252092 = V465820. assign V974352 = V261996. assign V848366 = V064716 - 1. assign V663325 = V726051 + 1. assign V537850 = V829479. assign V476967 = V232877 - 1. assign V495043 = V064716. assign V665034 = V468626 + 1. assign V582624 = V023736 + 1. assign V829838 = V207669. assign V708669 = V529940. assign V641010 = V514703. assign V200211 = V842768 - 1. assign V829707 = V445540 - 1. assign V038248 = V100910 + 1. assign V568940 = V454850 + 1. assign V388370 = V094619 + 1. assign V696734 = V293796 + 1. assign V371395 = V651813 - 1. assign V350796 = V663325. assign V880009 = V293796 + 1. assign V359979 = V146015. assign V623881 = V315736. assign V399901 = V265827. assign V723232 = V388370 - 1. assign V549980 = V909261 + 1. assign V870393 = V379444 + 1. assign V893017 = V819161. assign V520341 = V006604. assign V005653 = V139508. assign V043486 = V495043 - 1. assign V181340 = V399901 + 1. assign V726051 = V627367 - 1. assign V580329 = V064716 - 1. assign V138081 = V588401 + 1. assign V275773 = V577544 + 1. assign V486151 = V293796 + 1. assign V866566 = V310501. assign V243241 = V723232 + 1. assign V186112 = V750561. assign V666725 = V842768 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV011800 = 4;\n\nFrom these direct assignment(s), we have: \nV041237 = V011800 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V041237;\nV454850 = V011800 + 1 = 4 + 1 =5;\nV568940 = V454850 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V568940;\nNo other varaibles can be derived from V454850;\nV621846 = V011800 + 1 = 4 + 1 =5;\nV271445 = V621846 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V271445;\nV576096 = V621846 - 1 = 5 - 1 =4;\nV055770 = V576096 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V055770;\nNo other varaibles can be derived from V576096;\nV379444 = V621846 = 5;\nV870393 = V379444 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V870393;\nNo other varaibles can be derived from V379444;\nNo other varaibles can be derived from V621846;\nNo other varaibles can be derived from V011800;\n\nNow we have done all the calculations. Derived variables are:\nV011800 = 4;\nV041237 = 3;\nV454850 = 5;\nV568940 = 6;\nV621846 = 5;\nV271445 = 4;\nV576096 = 4;\nV055770 = 5;\nV379444 = 5;\nV870393 = 6;\n\nNow we have finished this problem. ANSWER:\nV011800, V271445, V576096\n", "role": "assistant" } ]

[ "V872091", "V685850", "V516879", "V173515", "V041466", "V205750" ]

[ { "content": "<context>\nassign V751081 = V178037 + 1. assign V190675 = V833722 - 1. assign V946861 = V564634 + 1. assign V548501 = V798366. assign V495051 = V725354 + 1. assign V322197 = V632886 + 1. assign V151573 = V178037 - 1. assign V005935 = V896994. assign V826637 = V872134 + 1. assign V689525 = V690730 + 1. assign V734334 = V190675 + 1. assign V795264 = V943488. assign V753241 = V690730 - 1. assign V501674 = V187681 - 1. assign V562397 = V377191. assign V602139 = V407135 + 1. assign V858962 = V678331 + 1. assign V529979 = V938855 - 1. assign V835642 = V063565. assign V833722 = V994772 - 1. assign V978366 = V637032 - 1. assign V110686 = V419350. assign V826896 = V164840. assign V205750 = V077470 - 1. assign V337210 = V451068. assign V840707 = V054004. assign V596912 = V745349 - 1. assign V522109 = V817422 - 1. assign V021860 = V534378 + 1. assign V991339 = V561822. assign V776864 = V506023. assign V067824 = V114223 - 1. assign V329185 = V931220. assign V407135 = V190675 - 1. assign V530377 = V994772 - 1. assign V942060 = V840707 + 1. assign V758425 = V288334. assign V256585 = V522109. assign V361764 = V332991. assign V157944 = V114223 + 1. assign V791406 = V814461. assign V036220 = V637032 + 1. assign V358688 = V738211 + 1. assign V938161 = V872134 - 1. assign V368011 = V768671. assign V756935 = V978366 + 1. assign V479636 = V770537 + 1. assign V593592 = V501674 - 1. assign V236004 = V728113 + 1. assign V163833 = V714899. assign V937901 = V940265. assign V071807 = V150396 - 1. assign V242230 = V768671 + 1. assign V420006 = V534378 + 1. assign V684592 = V593592 - 1. assign V434775 = V332991 - 1. assign V606359 = V632458. assign V740948 = V207969 + 1. assign V895210 = V954071 + 1. assign V725354 = V030571 + 1. assign V761709 = V212478 + 1. assign V306793 = V791647. assign V669616 = V110686 + 1. assign V518817 = V727024 + 1. assign V698681 = V278617. assign V980267 = V183486 - 1. assign V317447 = V018069 + 1. assign V127276 = V872134 - 1. assign V187151 = V584407. assign V820648 = V536367. assign V235581 = V727024 + 1. assign V461945 = V556158. assign V652890 = V773980 + 1. assign V043035 = V067824 + 1. assign V017758 = V446909. assign V931220 = V900698 - 1. assign V034150 = V632886 - 1. assign V284167 = V989583. assign V959980 = V021860 + 1. assign V198907 = V768671 + 1. assign V150396 = V738211 - 1. assign V129229 = V625101 + 1. assign V313156 = V994772 + 1. assign V094418 = V419350 + 1. assign V168742 = V653130 - 1. assign V938855 = V332991 + 1. assign V702628 = V560953 - 1. assign V989583 = V187681 + 1. assign V291839 = V573726 + 1. assign V277977 = V791406 + 1. assign V268737 = V946311 + 1. assign V155878 = V071807 + 1. assign V523755 = V637032. assign V129611 = V359033 + 1. assign V633019 = V328840. assign V703670 = V768671 + 1. assign V077470 = V685850 + 1. assign V530840 = V163833 + 1. assign V624026 = V127276 - 1. assign V267952 = V548501 - 1. assign V685850 = V872091. assign V118832 = V531424 - 1. assign V698238 = V377191. assign V502028 = V949696 - 1. assign V222880 = V637032 + 1. assign V355819 = V150396. assign V517109 = V756935. assign V727024 = V178037 + 1. assign V208451 = V066441 + 1. assign V982004 = V196772 - 1. assign V484736 = V734334 - 1. assign V581025 = V536367 - 1. assign V377191 = V288334 - 1. assign V370407 = V758425 + 1. assign V939518 = V147544 - 1. assign V617343 = V840707. assign V185408 = V949696 - 1. assign V407890 = V085577 - 1. assign V183486 = V923639. assign V242523 = V952596. assign V441488 = V938161. assign V981619 = V215499 + 1. assign V373861 = V110686. assign V530082 = V451068. assign V400737 = V353142 - 1. assign V442184 = V075277 - 1. assign V754862 = V952596 + 1. assign V220992 = V434775 + 1. assign V041275 = V150396 + 1. assign V684279 = V728113. assign V381439 = V632458. assign V872134 = V772496. assign V094522 = V328840. assign V943488 = V286554 - 1. assign V524997 = V668886. assign V189834 = V255412 - 1. assign V435833 = V129611 + 1. assign V904517 = V114223 - 1. assign V625101 = V728113. assign V278617 = V177121 + 1. assign V430881 = V943488. assign V502985 = V173515 + 1. assign V654923 = V946524 + 1. assign V439943 = V255558 + 1. assign V076900 = V727024 + 1. assign V199647 = V727024 - 1. assign V731665 = V414785 + 1. assign V110614 = V697823 - 1. assign V451068 = V564062 + 1. assign V678331 = V175486 + 1. assign V116138 = V029824. assign V212478 = V067824. assign V506023 = V489793 + 1. assign V128288 = V030571. assign V641793 = V764042 - 1. assign V838221 = V407135. assign V899501 = V778512 + 1. assign V719451 = V005935 - 1. assign V511089 = V128288 + 1. assign V733689 = V332991 - 1. assign V372908 = V067824 + 1. assign V872091 = 10. assign V561067 = V361764. assign V018069 = V817422 - 1. assign V353142 = V382019. assign V085577 = V536367. assign V531424 = V168742 + 1. assign V946311 = V306793. assign V428090 = V155878 - 1. assign V770537 = V653130 - 1. assign V323309 = V731665 + 1. assign V173515 = V872091. assign V175486 = V556009 - 1. assign V539085 = V219329 + 1. assign V054004 = V489793 + 1. assign V066441 = V328840 - 1. assign V187681 = V219329 + 1. assign V359033 = V833722. assign V063565 = V562397. assign V136552 = V952928 - 1. assign V280110 = V758425. assign V041466 = V516879. assign V549758 = V018069. assign V419350 = V219329 - 1. assign V954071 = V239087 + 1. assign V177121 = V185408. assign V446909 = V284167. assign V239087 = V978366 + 1. assign V748152 = V745349 - 1. assign V215499 = V114223 + 1. assign V855951 = V373514 - 1. assign V745349 = V185408 - 1. assign V401789 = V978366. assign V536367 = V993158. assign V570894 = V110686 + 1. assign V896994 = V489260. assign V567805 = V489793 - 1. assign V446660 = V127276. assign V344716 = V094418. assign V693168 = V896994. assign V029824 = V946524 + 1. assign V024088 = V212478 - 1. assign V923639 = V178037. assign V496355 = V637032 + 1. assign V611958 = V518817 - 1. assign V573726 = V637032 + 1. assign V385652 = V641793 - 1. assign V570734 = V632886 - 1. assign V887374 = V814461 + 1. assign V768671 = V978366 - 1. assign V817422 = V727024. assign V286554 = V966552 + 1. assign V668886 = V738211. assign V526197 = V994772. assign V332991 = V994772. assign V575660 = V376398 + 1. assign V320422 = V768671. assign V564062 = V168742 - 1. assign V566203 = V163833 - 1. assign V644462 = V954071 + 1. assign V438528 = V632458. assign V389745 = V435833. assign V147544 = V536367 - 1. assign V343846 = V256585 + 1. assign V486433 = V157944 - 1. assign V584407 = V772496 + 1. assign V943458 = V434775. assign V337906 = V654923. assign V497167 = V359033. assign V781089 = V219329. assign V556158 = V377191 + 1. assign V556009 = V758425 - 1. assign V900698 = V284167 + 1. assign V523049 = V989583. assign V349169 = V952928 - 1. assign V632458 = V207969 + 1. assign V635087 = V030238. assign V966552 = V949696 - 1. assign V232118 = V833722 + 1. assign V534378 = V501674 - 1. assign V219329 = V168742 + 1. assign V017329 = V147544. assign V373514 = V187681 + 1. assign V690623 = V606359. assign V451128 = V147544 - 1. assign V193008 = V770537 + 1. assign V288334 = V332991 - 1. assign V392001 = V071965. assign V283492 = V183486 - 1. assign V115887 = V527067 + 1. assign V182884 = V632886 + 1. assign V088451 = V993158 - 1. assign V690730 = V581025. assign V814461 = V168742 - 1. assign V960139 = V219687 - 1. assign V773980 = V414785 - 1. assign V437192 = V222880. assign V192356 = V094418. assign V603591 = V489260 + 1. assign V561822 = V833722 - 1. assign V503159 = V506023 + 1. assign V634303 = V419221 + 1. assign V168996 = V293628. assign V527067 = V359033 + 1. assign V637032 = V653130 + 1. assign V766220 = V313156 - 1. assign V349480 = V110686 - 1. assign V619276 = V668886 + 1. assign V414785 = V067824 - 1. assign V911949 = V684279 - 1. assign V002471 = V714899. assign V219687 = V798366. assign V483435 = V947773. assign V774892 = V904517 - 1. assign V697823 = V531424 + 1. assign V582506 = V833722 - 1. assign V376398 = V359033. assign V845963 = V175486. assign V764042 = V359033. assign V685960 = V222880 - 1. assign V255412 = V029824 + 1. assign V516879 = V685850. assign V328840 = V584407 + 1. assign V270652 = V110614 + 1. assign V215276 = V900698 - 1. assign V128222 = V991339 + 1. assign V791687 = V066441 - 1. assign V078571 = V993158 + 1. assign V734803 = V501674 + 1. assign V738211 = V833722. assign V377750 = V094418 - 1. assign V987992 = V173515 - 1. assign V071965 = V584407 + 1. assign V156280 = V017758. assign V949696 = V083571 - 1. assign V083571 = V332991. assign V382019 = V781089. assign V653130 = V994772 - 1. assign V965232 = V949696 + 1. assign V940265 = V435833. assign V419221 = V766220. assign V686883 = V077470. assign V388411 = V938855 - 1. assign V196772 = V377750 - 1. assign V714899 = V451068. assign V219283 = V606359. assign V947773 = V358688 - 1. assign V866476 = V534378 - 1. assign V922249 = V728113 - 1. assign V984348 = V242230 - 1. assign V114223 = V501674 + 1. assign V178037 = V359033 - 1. assign V075277 = V768671 - 1. assign V489260 = V486433. assign V321365 = V518817 - 1. assign V808523 = V401789 + 1. assign V396552 = V632886. assign V255558 = V381439 + 1. assign V316204 = V872134 + 1. assign V178686 = V781089. assign V993158 = V770537 + 1. assign V207969 = V539085. assign V164840 = V637032 + 1. assign V772496 = V949696 + 1. assign V471672 = V219687 - 1. assign V067113 = V256585 + 1. assign V567590 = V952928 - 1. assign V494856 = V284167 + 1. assign V560953 = V067824 - 1. assign V952596 = V377191. assign V778512 = V017758. assign V374700 = V734803. assign V863470 = V322197 + 1. assign V798366 = V446909 + 1. assign V564634 = V419350. assign V632886 = V738211. assign V575715 = V071965. assign V952928 = V168742. assign V456751 = V178686 + 1. assign V293628 = V637032 - 1. assign V366466 = V632458. assign V707268 = V407135 - 1. assign V489793 = V219329. assign V728113 = V727024 - 1. assign V030571 = V114223 + 1. assign V030238 = V286554 + 1. assign V069039 = V083571. assign V946524 = V791647 - 1. assign V791647 = V770537 - 1. assign V858039 = V083571 - 1. assign V116808 = V151573 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V751081 = V178037 + 1. assign V190675 = V833722 - 1. assign V946861 = V564634 + 1. assign V548501 = V798366. assign V495051 = V725354 + 1. assign V322197 = V632886 + 1. assign V151573 = V178037 - 1. assign V005935 = V896994. assign V826637 = V872134 + 1. assign V689525 = V690730 + 1. assign V734334 = V190675 + 1. assign V795264 = V943488. assign V753241 = V690730 - 1. assign V501674 = V187681 - 1. assign V562397 = V377191. assign V602139 = V407135 + 1. assign V858962 = V678331 + 1. assign V529979 = V938855 - 1. assign V835642 = V063565. assign V833722 = V994772 - 1. assign V978366 = V637032 - 1. assign V110686 = V419350. assign V826896 = V164840. assign V205750 = V077470 - 1. assign V337210 = V451068. assign V840707 = V054004. assign V596912 = V745349 - 1. assign V522109 = V817422 - 1. assign V021860 = V534378 + 1. assign V991339 = V561822. assign V776864 = V506023. assign V067824 = V114223 - 1. assign V329185 = V931220. assign V407135 = V190675 - 1. assign V530377 = V994772 - 1. assign V942060 = V840707 + 1. assign V758425 = V288334. assign V256585 = V522109. assign V361764 = V332991. assign V157944 = V114223 + 1. assign V791406 = V814461. assign V036220 = V637032 + 1. assign V358688 = V738211 + 1. assign V938161 = V872134 - 1. assign V368011 = V768671. assign V756935 = V978366 + 1. assign V479636 = V770537 + 1. assign V593592 = V501674 - 1. assign V236004 = V728113 + 1. assign V163833 = V714899. assign V937901 = V940265. assign V071807 = V150396 - 1. assign V242230 = V768671 + 1. assign V420006 = V534378 + 1. assign V684592 = V593592 - 1. assign V434775 = V332991 - 1. assign V606359 = V632458. assign V740948 = V207969 + 1. assign V895210 = V954071 + 1. assign V725354 = V030571 + 1. assign V761709 = V212478 + 1. assign V306793 = V791647. assign V669616 = V110686 + 1. assign V518817 = V727024 + 1. assign V698681 = V278617. assign V980267 = V183486 - 1. assign V317447 = V018069 + 1. assign V127276 = V872134 - 1. assign V187151 = V584407. assign V820648 = V536367. assign V235581 = V727024 + 1. assign V461945 = V556158. assign V652890 = V773980 + 1. assign V043035 = V067824 + 1. assign V017758 = V446909. assign V931220 = V900698 - 1. assign V034150 = V632886 - 1. assign V284167 = V989583. assign V959980 = V021860 + 1. assign V198907 = V768671 + 1. assign V150396 = V738211 - 1. assign V129229 = V625101 + 1. assign V313156 = V994772 + 1. assign V094418 = V419350 + 1. assign V168742 = V653130 - 1. assign V938855 = V332991 + 1. assign V702628 = V560953 - 1. assign V989583 = V187681 + 1. assign V291839 = V573726 + 1. assign V277977 = V791406 + 1. assign V268737 = V946311 + 1. assign V155878 = V071807 + 1. assign V523755 = V637032. assign V129611 = V359033 + 1. assign V633019 = V328840. assign V703670 = V768671 + 1. assign V077470 = V685850 + 1. assign V530840 = V163833 + 1. assign V624026 = V127276 - 1. assign V267952 = V548501 - 1. assign V685850 = V872091. assign V118832 = V531424 - 1. assign V698238 = V377191. assign V502028 = V949696 - 1. assign V222880 = V637032 + 1. assign V355819 = V150396. assign V517109 = V756935. assign V727024 = V178037 + 1. assign V208451 = V066441 + 1. assign V982004 = V196772 - 1. assign V484736 = V734334 - 1. assign V581025 = V536367 - 1. assign V377191 = V288334 - 1. assign V370407 = V758425 + 1. assign V939518 = V147544 - 1. assign V617343 = V840707. assign V185408 = V949696 - 1. assign V407890 = V085577 - 1. assign V183486 = V923639. assign V242523 = V952596. assign V441488 = V938161. assign V981619 = V215499 + 1. assign V373861 = V110686. assign V530082 = V451068. assign V400737 = V353142 - 1. assign V442184 = V075277 - 1. assign V754862 = V952596 + 1. assign V220992 = V434775 + 1. assign V041275 = V150396 + 1. assign V684279 = V728113. assign V381439 = V632458. assign V872134 = V772496. assign V094522 = V328840. assign V943488 = V286554 - 1. assign V524997 = V668886. assign V189834 = V255412 - 1. assign V435833 = V129611 + 1. assign V904517 = V114223 - 1. assign V625101 = V728113. assign V278617 = V177121 + 1. assign V430881 = V943488. assign V502985 = V173515 + 1. assign V654923 = V946524 + 1. assign V439943 = V255558 + 1. assign V076900 = V727024 + 1. assign V199647 = V727024 - 1. assign V731665 = V414785 + 1. assign V110614 = V697823 - 1. assign V451068 = V564062 + 1. assign V678331 = V175486 + 1. assign V116138 = V029824. assign V212478 = V067824. assign V506023 = V489793 + 1. assign V128288 = V030571. assign V641793 = V764042 - 1. assign V838221 = V407135. assign V899501 = V778512 + 1. assign V719451 = V005935 - 1. assign V511089 = V128288 + 1. assign V733689 = V332991 - 1. assign V372908 = V067824 + 1. assign V872091 = 10. assign V561067 = V361764. assign V018069 = V817422 - 1. assign V353142 = V382019. assign V085577 = V536367. assign V531424 = V168742 + 1. assign V946311 = V306793. assign V428090 = V155878 - 1. assign V770537 = V653130 - 1. assign V323309 = V731665 + 1. assign V173515 = V872091. assign V175486 = V556009 - 1. assign V539085 = V219329 + 1. assign V054004 = V489793 + 1. assign V066441 = V328840 - 1. assign V187681 = V219329 + 1. assign V359033 = V833722. assign V063565 = V562397. assign V136552 = V952928 - 1. assign V280110 = V758425. assign V041466 = V516879. assign V549758 = V018069. assign V419350 = V219329 - 1. assign V954071 = V239087 + 1. assign V177121 = V185408. assign V446909 = V284167. assign V239087 = V978366 + 1. assign V748152 = V745349 - 1. assign V215499 = V114223 + 1. assign V855951 = V373514 - 1. assign V745349 = V185408 - 1. assign V401789 = V978366. assign V536367 = V993158. assign V570894 = V110686 + 1. assign V896994 = V489260. assign V567805 = V489793 - 1. assign V446660 = V127276. assign V344716 = V094418. assign V693168 = V896994. assign V029824 = V946524 + 1. assign V024088 = V212478 - 1. assign V923639 = V178037. assign V496355 = V637032 + 1. assign V611958 = V518817 - 1. assign V573726 = V637032 + 1. assign V385652 = V641793 - 1. assign V570734 = V632886 - 1. assign V887374 = V814461 + 1. assign V768671 = V978366 - 1. assign V817422 = V727024. assign V286554 = V966552 + 1. assign V668886 = V738211. assign V526197 = V994772. assign V332991 = V994772. assign V575660 = V376398 + 1. assign V320422 = V768671. assign V564062 = V168742 - 1. assign V566203 = V163833 - 1. assign V644462 = V954071 + 1. assign V438528 = V632458. assign V389745 = V435833. assign V147544 = V536367 - 1. assign V343846 = V256585 + 1. assign V486433 = V157944 - 1. assign V584407 = V772496 + 1. assign V943458 = V434775. assign V337906 = V654923. assign V497167 = V359033. assign V781089 = V219329. assign V556158 = V377191 + 1. assign V556009 = V758425 - 1. assign V900698 = V284167 + 1. assign V523049 = V989583. assign V349169 = V952928 - 1. assign V632458 = V207969 + 1. assign V635087 = V030238. assign V966552 = V949696 - 1. assign V232118 = V833722 + 1. assign V534378 = V501674 - 1. assign V219329 = V168742 + 1. assign V017329 = V147544. assign V373514 = V187681 + 1. assign V690623 = V606359. assign V451128 = V147544 - 1. assign V193008 = V770537 + 1. assign V288334 = V332991 - 1. assign V392001 = V071965. assign V283492 = V183486 - 1. assign V115887 = V527067 + 1. assign V182884 = V632886 + 1. assign V088451 = V993158 - 1. assign V690730 = V581025. assign V814461 = V168742 - 1. assign V960139 = V219687 - 1. assign V773980 = V414785 - 1. assign V437192 = V222880. assign V192356 = V094418. assign V603591 = V489260 + 1. assign V561822 = V833722 - 1. assign V503159 = V506023 + 1. assign V634303 = V419221 + 1. assign V168996 = V293628. assign V527067 = V359033 + 1. assign V637032 = V653130 + 1. assign V766220 = V313156 - 1. assign V349480 = V110686 - 1. assign V619276 = V668886 + 1. assign V414785 = V067824 - 1. assign V911949 = V684279 - 1. assign V002471 = V714899. assign V219687 = V798366. assign V483435 = V947773. assign V774892 = V904517 - 1. assign V697823 = V531424 + 1. assign V582506 = V833722 - 1. assign V376398 = V359033. assign V845963 = V175486. assign V764042 = V359033. assign V685960 = V222880 - 1. assign V255412 = V029824 + 1. assign V516879 = V685850. assign V328840 = V584407 + 1. assign V270652 = V110614 + 1. assign V215276 = V900698 - 1. assign V128222 = V991339 + 1. assign V791687 = V066441 - 1. assign V078571 = V993158 + 1. assign V734803 = V501674 + 1. assign V738211 = V833722. assign V377750 = V094418 - 1. assign V987992 = V173515 - 1. assign V071965 = V584407 + 1. assign V156280 = V017758. assign V949696 = V083571 - 1. assign V083571 = V332991. assign V382019 = V781089. assign V653130 = V994772 - 1. assign V965232 = V949696 + 1. assign V940265 = V435833. assign V419221 = V766220. assign V686883 = V077470. assign V388411 = V938855 - 1. assign V196772 = V377750 - 1. assign V714899 = V451068. assign V219283 = V606359. assign V947773 = V358688 - 1. assign V866476 = V534378 - 1. assign V922249 = V728113 - 1. assign V984348 = V242230 - 1. assign V114223 = V501674 + 1. assign V178037 = V359033 - 1. assign V075277 = V768671 - 1. assign V489260 = V486433. assign V321365 = V518817 - 1. assign V808523 = V401789 + 1. assign V396552 = V632886. assign V255558 = V381439 + 1. assign V316204 = V872134 + 1. assign V178686 = V781089. assign V993158 = V770537 + 1. assign V207969 = V539085. assign V164840 = V637032 + 1. assign V772496 = V949696 + 1. assign V471672 = V219687 - 1. assign V067113 = V256585 + 1. assign V567590 = V952928 - 1. assign V494856 = V284167 + 1. assign V560953 = V067824 - 1. assign V952596 = V377191. assign V778512 = V017758. assign V374700 = V734803. assign V863470 = V322197 + 1. assign V798366 = V446909 + 1. assign V564634 = V419350. assign V632886 = V738211. assign V575715 = V071965. assign V952928 = V168742. assign V456751 = V178686 + 1. assign V293628 = V637032 - 1. assign V366466 = V632458. assign V707268 = V407135 - 1. assign V489793 = V219329. assign V728113 = V727024 - 1. assign V030571 = V114223 + 1. assign V030238 = V286554 + 1. assign V069039 = V083571. assign V946524 = V791647 - 1. assign V791647 = V770537 - 1. assign V858039 = V083571 - 1. assign V116808 = V151573 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV872091 = 10;\n\nFrom these direct assignment(s), we have: \nV173515 = V872091 = 10;\nV987992 = V173515 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V987992;\nV502985 = V173515 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V502985;\nNo other varaibles can be derived from V173515;\nV685850 = V872091 = 10;\nV516879 = V685850 = 10;\nV041466 = V516879 = 10;\nNo other varaibles can be derived from V041466;\nNo other varaibles can be derived from V516879;\nV077470 = V685850 + 1 = 10 + 1 =11;\nV686883 = V077470 = 11;\nNo other varaibles can be derived from V686883;\nV205750 = V077470 - 1 = 11 - 1 =10;\nNo other varaibles can be derived from V205750;\nNo other varaibles can be derived from V077470;\nNo other varaibles can be derived from V685850;\nNo other varaibles can be derived from V872091;\n\nNow we have done all the calculations. Derived variables are:\nV872091 = 10;\nV173515 = 10;\nV987992 = 9;\nV502985 = 11;\nV685850 = 10;\nV516879 = 10;\nV041466 = 10;\nV077470 = 11;\nV686883 = 11;\nV205750 = 10;\n\nNow we have finished this problem. ANSWER:\nV872091, V173515, V685850, V516879, V041466, V205750\n", "role": "assistant" } ]

[ "V778775", "V113780", "V416959", "V096608" ]

[ { "content": "<context>\nassign V320843 = V901615 - 1. assign V194295 = V088942 + 1. assign V331386 = V747700. assign V306247 = V753979 + 1. assign V566310 = V497555. assign V934013 = V523454 + 1. assign V251506 = V401488 - 1. assign V971926 = V885863. assign V081789 = V420915 + 1. assign V195072 = V523454 + 1. assign V628747 = V816197 + 1. assign V440482 = V920825 + 1. assign V198697 = V490932. assign V710548 = V539224 + 1. assign V687486 = V166405 + 1. assign V423839 = V165255 - 1. assign V771124 = V292768 - 1. assign V123102 = V535331. assign V259650 = V392354. assign V702462 = V488141. assign V492110 = V106793 - 1. assign V675813 = V497555 + 1. assign V078655 = V479611. assign V843535 = V288705 - 1. assign V313486 = V994362 - 1. assign V376820 = V288705 - 1. assign V548013 = V140001 + 1. assign V509076 = V989331 - 1. assign V149662 = V994362 + 1. assign V640857 = V440482. assign V905313 = V539224 + 1. assign V268024 = V198697 - 1. assign V280854 = V634249 + 1. assign V284582 = V156424. assign V031769 = V984966 + 1. assign V771556 = V166314. assign V474168 = V102351. assign V401253 = V002887. assign V776915 = V535331. assign V490932 = V376820 + 1. assign V704225 = V223823 + 1. assign V779570 = V844797 - 1. assign V798514 = V625432 + 1. assign V417375 = V672568 - 1. assign V301493 = V126237 + 1. assign V642938 = V255581 + 1. assign V288705 = V790934. assign V423798 = V966266 + 1. assign V514567 = V816197. assign V564489 = V771124 + 1. assign V057843 = V440482 + 1. assign V574982 = V162388. assign V497555 = V125753. assign V611961 = V060755. assign V354005 = V427905 - 1. assign V427905 = V497555 - 1. assign V595500 = V622650. assign V194136 = V140001 + 1. assign V771512 = V920825. assign V050594 = V194295 + 1. assign V317666 = V104168 - 1. assign V929973 = V682491 + 1. assign V617031 = V238794. assign V345033 = V619348 - 1. assign V495279 = V104168 + 1. assign V633400 = V671290 - 1. assign V009209 = V509076 + 1. assign V166405 = V929973. assign V566360 = V219978 + 1. assign V649333 = V479611 - 1. assign V801980 = V255581. assign V058553 = V230965. assign V885863 = V066428 + 1. assign V060755 = V134997. assign V479611 = V704225 + 1. assign V214801 = V625203 - 1. assign V104168 = V759593 + 1. assign V950007 = V333253 + 1. assign V735705 = V720417 + 1. assign V677123 = V187254 - 1. assign V274091 = V215489. assign V016819 = V704225 - 1. assign V904725 = V945853. assign V345764 = V482845. assign V516626 = V447991 + 1. assign V457702 = V460131 - 1. assign V187254 = V501430 + 1. assign V096608 = V778775. assign V940321 = V292768 + 1. assign V715752 = V483415 + 1. assign V904445 = V498071 - 1. assign V461902 = V698196 - 1. assign V189612 = V965177 + 1. assign V293147 = V914522. assign V698180 = V945853 + 1. assign V446440 = V778775 - 1. assign V017963 = V747700. assign V618529 = V571865. assign V474303 = V254527. assign V965177 = V498303 + 1. assign V471004 = V292768. assign V483677 = V457702 - 1. assign V989648 = V498071 - 1. assign V152910 = V533467 + 1. assign V424536 = V284582. assign V956938 = V778775 + 1. assign V672568 = V490932 + 1. assign V430255 = V574982 - 1. assign V567379 = V895979. assign V648840 = V251506 - 1. assign V321281 = V594242. assign V269339 = V968205. assign V738002 = V753979 + 1. assign V885184 = V292768 - 1. assign V113780 = V956938 - 1. assign V016861 = V929973 - 1. assign V589599 = V884736 - 1. assign V662419 = V141860. assign V594242 = V060755. assign V162388 = V588781 + 1. assign V694390 = V066428 - 1. assign V459028 = V759593. assign V465240 = V357129. assign V392880 = V034758. assign V956051 = V666128. assign V338707 = V704225 - 1. assign V254753 = V357891. assign V659794 = V702462 + 1. assign V607261 = V677123 - 1. assign V002092 = V779570 - 1. assign V726131 = V490932 + 1. assign V383217 = V503761 + 1. assign V473182 = V617031. assign V315463 = V539224 + 1. assign V348462 = V885863. assign V818707 = V050594 - 1. assign V361892 = V442592. assign V239967 = V707925. assign V444211 = V965824 + 1. assign V496489 = V539224 + 1. assign V328072 = V503761 - 1. assign V215489 = V134997 + 1. assign V984381 = V576569 + 1. assign V464376 = V934013. assign V102065 = V035576 - 1. assign V442592 = V523454 + 1. assign V165255 = V709375 + 1. assign V984744 = V884736 - 1. assign V416959 = V956938 - 1. assign V166314 = V187254 + 1. assign V720417 = V010180 + 1. assign V535331 = V567379 + 1. assign V821925 = V474168. assign V321585 = V501430 - 1. assign V034758 = V625203 - 1. assign V146455 = V123102. assign V500317 = V102351. assign V678394 = V004893. assign V102351 = V672568 - 1. assign V991709 = V333253 - 1. assign V121697 = V066428 + 1. assign V790934 = V571865. assign V004893 = V852844 + 1. assign V398125 = V759593 + 1. assign V145695 = V895979 - 1. assign V292768 = V790934 + 1. assign V321027 = V934013. assign V998793 = V730053 + 1. assign V826002 = V048654 + 1. assign V656686 = V801980. assign V170685 = V816197 + 1. assign V353797 = V971926. assign V625203 = V490932 + 1. assign V498071 = V258848 - 1. assign V776355 = V994362 - 1. assign V255581 = V756797 + 1. assign V072617 = V394429 + 1. assign V684456 = V573224 + 1. assign V488141 = V726131 - 1. assign V401488 = V376820 - 1. assign V360015 = V475785 + 1. assign V254527 = V612222. assign V066428 = V771124 - 1. assign V212693 = V177675 + 1. assign V966266 = V317666 + 1. assign V501430 = V251506 + 1. assign V483415 = V088942. assign V720050 = V753979. assign V150844 = V401488. assign V755922 = V720050 + 1. assign V212876 = V754149 - 1. assign V480573 = V771124 + 1. assign V666128 = V698692 - 1. assign V718158 = V779570 + 1. assign V533467 = V539224. assign V121174 = V475785 + 1. assign V932150 = V584842 + 1. assign V156424 = V125753 - 1. assign V612222 = V258848. assign V606876 = V139204. assign V682491 = V694390 + 1. assign V027162 = V338707 + 1. assign V700556 = V498071. assign V938117 = V778775 + 1. assign V498303 = V709375 - 1. assign V620880 = V730053 - 1. assign V523454 = V121697 + 1. assign V002887 = V618529 + 1. assign V453202 = V885863 + 1. assign V089000 = V971926. assign V746348 = V177675. assign V350637 = V539224 - 1. assign V680257 = V771124 - 1. assign V588781 = V490932 - 1. assign V968205 = V756797. assign V427271 = V442592. assign V989331 = V321281. assign V756797 = V195072 + 1. assign V251557 = V121697 - 1. assign V139204 = V576569 + 1. assign V747700 = V700556 - 1. assign V223549 = V779372. assign V883006 = V424536 + 1. assign V460131 = V121697 - 1. assign V674874 = V523454 - 1. assign V753979 = V539224 - 1. assign V238794 = V484992 + 1. assign V861002 = V533467 - 1. assign V584900 = V303512. assign V035576 = V833544 - 1. assign V219978 = V315463 + 1. assign V149717 = V447991 + 1. assign V475785 = V971926. assign V482845 = V601565. assign V698692 = V771124 + 1. assign V658160 = V726131. assign V447991 = V179611 + 1. assign V576569 = V675813 - 1. assign V430185 = V440482 - 1. assign V479188 = V503761 + 1. assign V346659 = V177675 + 1. assign V134997 = V484992. assign V223823 = V885863 + 1. assign V742192 = V223823 + 1. assign V207969 = V475785. assign V405645 = V145695 - 1. assign V270405 = V742192 - 1. assign V141860 = V648840 - 1. assign V660200 = V024300 + 1. assign V273306 = V589599 + 1. assign V834733 = V474168. assign V914522 = V166405 + 1. assign V871567 = V177675. assign V634249 = V682491 - 1. assign V759612 = V292768 - 1. assign V698196 = V698692. assign V162554 = V156424 - 1. assign V126237 = V488141 + 1. assign V420915 = V312469 + 1. assign V853162 = V867466 + 1. assign V920105 = V611961 + 1. assign V085232 = V672568. assign V816197 = V195072 + 1. assign V088942 = V790934 - 1. assign V169062 = V162388 - 1. assign V781123 = V074187. assign V844797 = V895979 + 1. assign V777001 = V607261. assign V737605 = V634249 + 1. assign V922171 = V571865 - 1. assign V484992 = V625203. assign V804119 = V656686 + 1. assign V357891 = V288705. assign V895979 = V488141. assign V312469 = V914522 + 1. assign V539224 = V694390. assign V328062 = V106793 + 1. assign V357129 = V170685 + 1. assign V730053 = V895979 - 1. assign V048654 = V169062. assign V412152 = V361892 - 1. assign V852844 = V571865 - 1. assign V438260 = V698692 - 1. assign V965824 = V401488 - 1. assign V087809 = V177675. assign V778466 = V550523 + 1. assign V258848 = V460131 - 1. assign V605907 = V484992 - 1. assign V601565 = V027762. assign V255871 = V195072. assign V123803 = V571865. assign V132443 = V102065. assign V731456 = V200054. assign V200054 = V113780 + 1. assign V177675 = V292768. assign V709375 = V742273. assign V754149 = V693879 - 1. assign V024300 = V625432 + 1. assign V584842 = V852844. assign V867466 = V498303 + 1. assign V529882 = V994362 - 1. assign V945853 = V123102. assign V478770 = V179611 + 1. assign V230965 = V625432 - 1. assign V573224 = V376820 - 1. assign V759593 = V617031. assign V330867 = V702462. assign V106793 = V573224 + 1. assign V125753 = V885863. assign V994362 = V895979 - 1. assign V833544 = V700556. assign V455188 = V328062 + 1. assign V680260 = V659794. assign V008165 = V672568. assign V170515 = V088942 - 1. assign V720620 = V490932 - 1. assign V140001 = V145695 - 1. assign V920825 = V573224. assign V671290 = V125753 + 1. assign V756497 = V292897. assign V619348 = V179611 + 1. assign V074187 = V738002 + 1. assign V984966 = V648840. assign V179611 = V720620 - 1. assign V303512 = V756797 + 1. assign V742273 = V376820 - 1. assign V693879 = V338707 - 1. assign V333253 = V573224 - 1. assign V147089 = V357891 + 1. assign V625432 = V177675 - 1. assign V923981 = V398125 - 1. assign V027762 = V230965. assign V948755 = V778775 - 1. assign V550523 = V726131. assign V614709 = V254753 + 1. assign V392354 = V634249 + 1. assign V292897 = V187254 + 1. assign V848736 = V255581. assign V884736 = V704225 - 1. assign V503761 = V617031. assign V622650 = V461902 + 1. assign V394429 = V680257 + 1. assign V901615 = V790934. assign V149634 = V170685 - 1. assign V017780 = V125753 - 1. assign V272755 = V145695 + 1. assign V707925 = V895979 + 1. assign V621803 = V984966 + 1. assign V779372 = V694390 - 1. assign V010180 = V251557 - 1. assign V778775 = 10.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V320843 = V901615 - 1. assign V194295 = V088942 + 1. assign V331386 = V747700. assign V306247 = V753979 + 1. assign V566310 = V497555. assign V934013 = V523454 + 1. assign V251506 = V401488 - 1. assign V971926 = V885863. assign V081789 = V420915 + 1. assign V195072 = V523454 + 1. assign V628747 = V816197 + 1. assign V440482 = V920825 + 1. assign V198697 = V490932. assign V710548 = V539224 + 1. assign V687486 = V166405 + 1. assign V423839 = V165255 - 1. assign V771124 = V292768 - 1. assign V123102 = V535331. assign V259650 = V392354. assign V702462 = V488141. assign V492110 = V106793 - 1. assign V675813 = V497555 + 1. assign V078655 = V479611. assign V843535 = V288705 - 1. assign V313486 = V994362 - 1. assign V376820 = V288705 - 1. assign V548013 = V140001 + 1. assign V509076 = V989331 - 1. assign V149662 = V994362 + 1. assign V640857 = V440482. assign V905313 = V539224 + 1. assign V268024 = V198697 - 1. assign V280854 = V634249 + 1. assign V284582 = V156424. assign V031769 = V984966 + 1. assign V771556 = V166314. assign V474168 = V102351. assign V401253 = V002887. assign V776915 = V535331. assign V490932 = V376820 + 1. assign V704225 = V223823 + 1. assign V779570 = V844797 - 1. assign V798514 = V625432 + 1. assign V417375 = V672568 - 1. assign V301493 = V126237 + 1. assign V642938 = V255581 + 1. assign V288705 = V790934. assign V423798 = V966266 + 1. assign V514567 = V816197. assign V564489 = V771124 + 1. assign V057843 = V440482 + 1. assign V574982 = V162388. assign V497555 = V125753. assign V611961 = V060755. assign V354005 = V427905 - 1. assign V427905 = V497555 - 1. assign V595500 = V622650. assign V194136 = V140001 + 1. assign V771512 = V920825. assign V050594 = V194295 + 1. assign V317666 = V104168 - 1. assign V929973 = V682491 + 1. assign V617031 = V238794. assign V345033 = V619348 - 1. assign V495279 = V104168 + 1. assign V633400 = V671290 - 1. assign V009209 = V509076 + 1. assign V166405 = V929973. assign V566360 = V219978 + 1. assign V649333 = V479611 - 1. assign V801980 = V255581. assign V058553 = V230965. assign V885863 = V066428 + 1. assign V060755 = V134997. assign V479611 = V704225 + 1. assign V214801 = V625203 - 1. assign V104168 = V759593 + 1. assign V950007 = V333253 + 1. assign V735705 = V720417 + 1. assign V677123 = V187254 - 1. assign V274091 = V215489. assign V016819 = V704225 - 1. assign V904725 = V945853. assign V345764 = V482845. assign V516626 = V447991 + 1. assign V457702 = V460131 - 1. assign V187254 = V501430 + 1. assign V096608 = V778775. assign V940321 = V292768 + 1. assign V715752 = V483415 + 1. assign V904445 = V498071 - 1. assign V461902 = V698196 - 1. assign V189612 = V965177 + 1. assign V293147 = V914522. assign V698180 = V945853 + 1. assign V446440 = V778775 - 1. assign V017963 = V747700. assign V618529 = V571865. assign V474303 = V254527. assign V965177 = V498303 + 1. assign V471004 = V292768. assign V483677 = V457702 - 1. assign V989648 = V498071 - 1. assign V152910 = V533467 + 1. assign V424536 = V284582. assign V956938 = V778775 + 1. assign V672568 = V490932 + 1. assign V430255 = V574982 - 1. assign V567379 = V895979. assign V648840 = V251506 - 1. assign V321281 = V594242. assign V269339 = V968205. assign V738002 = V753979 + 1. assign V885184 = V292768 - 1. assign V113780 = V956938 - 1. assign V016861 = V929973 - 1. assign V589599 = V884736 - 1. assign V662419 = V141860. assign V594242 = V060755. assign V162388 = V588781 + 1. assign V694390 = V066428 - 1. assign V459028 = V759593. assign V465240 = V357129. assign V392880 = V034758. assign V956051 = V666128. assign V338707 = V704225 - 1. assign V254753 = V357891. assign V659794 = V702462 + 1. assign V607261 = V677123 - 1. assign V002092 = V779570 - 1. assign V726131 = V490932 + 1. assign V383217 = V503761 + 1. assign V473182 = V617031. assign V315463 = V539224 + 1. assign V348462 = V885863. assign V818707 = V050594 - 1. assign V361892 = V442592. assign V239967 = V707925. assign V444211 = V965824 + 1. assign V496489 = V539224 + 1. assign V328072 = V503761 - 1. assign V215489 = V134997 + 1. assign V984381 = V576569 + 1. assign V464376 = V934013. assign V102065 = V035576 - 1. assign V442592 = V523454 + 1. assign V165255 = V709375 + 1. assign V984744 = V884736 - 1. assign V416959 = V956938 - 1. assign V166314 = V187254 + 1. assign V720417 = V010180 + 1. assign V535331 = V567379 + 1. assign V821925 = V474168. assign V321585 = V501430 - 1. assign V034758 = V625203 - 1. assign V146455 = V123102. assign V500317 = V102351. assign V678394 = V004893. assign V102351 = V672568 - 1. assign V991709 = V333253 - 1. assign V121697 = V066428 + 1. assign V790934 = V571865. assign V004893 = V852844 + 1. assign V398125 = V759593 + 1. assign V145695 = V895979 - 1. assign V292768 = V790934 + 1. assign V321027 = V934013. assign V998793 = V730053 + 1. assign V826002 = V048654 + 1. assign V656686 = V801980. assign V170685 = V816197 + 1. assign V353797 = V971926. assign V625203 = V490932 + 1. assign V498071 = V258848 - 1. assign V776355 = V994362 - 1. assign V255581 = V756797 + 1. assign V072617 = V394429 + 1. assign V684456 = V573224 + 1. assign V488141 = V726131 - 1. assign V401488 = V376820 - 1. assign V360015 = V475785 + 1. assign V254527 = V612222. assign V066428 = V771124 - 1. assign V212693 = V177675 + 1. assign V966266 = V317666 + 1. assign V501430 = V251506 + 1. assign V483415 = V088942. assign V720050 = V753979. assign V150844 = V401488. assign V755922 = V720050 + 1. assign V212876 = V754149 - 1. assign V480573 = V771124 + 1. assign V666128 = V698692 - 1. assign V718158 = V779570 + 1. assign V533467 = V539224. assign V121174 = V475785 + 1. assign V932150 = V584842 + 1. assign V156424 = V125753 - 1. assign V612222 = V258848. assign V606876 = V139204. assign V682491 = V694390 + 1. assign V027162 = V338707 + 1. assign V700556 = V498071. assign V938117 = V778775 + 1. assign V498303 = V709375 - 1. assign V620880 = V730053 - 1. assign V523454 = V121697 + 1. assign V002887 = V618529 + 1. assign V453202 = V885863 + 1. assign V089000 = V971926. assign V746348 = V177675. assign V350637 = V539224 - 1. assign V680257 = V771124 - 1. assign V588781 = V490932 - 1. assign V968205 = V756797. assign V427271 = V442592. assign V989331 = V321281. assign V756797 = V195072 + 1. assign V251557 = V121697 - 1. assign V139204 = V576569 + 1. assign V747700 = V700556 - 1. assign V223549 = V779372. assign V883006 = V424536 + 1. assign V460131 = V121697 - 1. assign V674874 = V523454 - 1. assign V753979 = V539224 - 1. assign V238794 = V484992 + 1. assign V861002 = V533467 - 1. assign V584900 = V303512. assign V035576 = V833544 - 1. assign V219978 = V315463 + 1. assign V149717 = V447991 + 1. assign V475785 = V971926. assign V482845 = V601565. assign V698692 = V771124 + 1. assign V658160 = V726131. assign V447991 = V179611 + 1. assign V576569 = V675813 - 1. assign V430185 = V440482 - 1. assign V479188 = V503761 + 1. assign V346659 = V177675 + 1. assign V134997 = V484992. assign V223823 = V885863 + 1. assign V742192 = V223823 + 1. assign V207969 = V475785. assign V405645 = V145695 - 1. assign V270405 = V742192 - 1. assign V141860 = V648840 - 1. assign V660200 = V024300 + 1. assign V273306 = V589599 + 1. assign V834733 = V474168. assign V914522 = V166405 + 1. assign V871567 = V177675. assign V634249 = V682491 - 1. assign V759612 = V292768 - 1. assign V698196 = V698692. assign V162554 = V156424 - 1. assign V126237 = V488141 + 1. assign V420915 = V312469 + 1. assign V853162 = V867466 + 1. assign V920105 = V611961 + 1. assign V085232 = V672568. assign V816197 = V195072 + 1. assign V088942 = V790934 - 1. assign V169062 = V162388 - 1. assign V781123 = V074187. assign V844797 = V895979 + 1. assign V777001 = V607261. assign V737605 = V634249 + 1. assign V922171 = V571865 - 1. assign V484992 = V625203. assign V804119 = V656686 + 1. assign V357891 = V288705. assign V895979 = V488141. assign V312469 = V914522 + 1. assign V539224 = V694390. assign V328062 = V106793 + 1. assign V357129 = V170685 + 1. assign V730053 = V895979 - 1. assign V048654 = V169062. assign V412152 = V361892 - 1. assign V852844 = V571865 - 1. assign V438260 = V698692 - 1. assign V965824 = V401488 - 1. assign V087809 = V177675. assign V778466 = V550523 + 1. assign V258848 = V460131 - 1. assign V605907 = V484992 - 1. assign V601565 = V027762. assign V255871 = V195072. assign V123803 = V571865. assign V132443 = V102065. assign V731456 = V200054. assign V200054 = V113780 + 1. assign V177675 = V292768. assign V709375 = V742273. assign V754149 = V693879 - 1. assign V024300 = V625432 + 1. assign V584842 = V852844. assign V867466 = V498303 + 1. assign V529882 = V994362 - 1. assign V945853 = V123102. assign V478770 = V179611 + 1. assign V230965 = V625432 - 1. assign V573224 = V376820 - 1. assign V759593 = V617031. assign V330867 = V702462. assign V106793 = V573224 + 1. assign V125753 = V885863. assign V994362 = V895979 - 1. assign V833544 = V700556. assign V455188 = V328062 + 1. assign V680260 = V659794. assign V008165 = V672568. assign V170515 = V088942 - 1. assign V720620 = V490932 - 1. assign V140001 = V145695 - 1. assign V920825 = V573224. assign V671290 = V125753 + 1. assign V756497 = V292897. assign V619348 = V179611 + 1. assign V074187 = V738002 + 1. assign V984966 = V648840. assign V179611 = V720620 - 1. assign V303512 = V756797 + 1. assign V742273 = V376820 - 1. assign V693879 = V338707 - 1. assign V333253 = V573224 - 1. assign V147089 = V357891 + 1. assign V625432 = V177675 - 1. assign V923981 = V398125 - 1. assign V027762 = V230965. assign V948755 = V778775 - 1. assign V550523 = V726131. assign V614709 = V254753 + 1. assign V392354 = V634249 + 1. assign V292897 = V187254 + 1. assign V848736 = V255581. assign V884736 = V704225 - 1. assign V503761 = V617031. assign V622650 = V461902 + 1. assign V394429 = V680257 + 1. assign V901615 = V790934. assign V149634 = V170685 - 1. assign V017780 = V125753 - 1. assign V272755 = V145695 + 1. assign V707925 = V895979 + 1. assign V621803 = V984966 + 1. assign V779372 = V694390 - 1. assign V010180 = V251557 - 1. assign V778775 = 10.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV778775 = 10;\n\nFrom these direct assignment(s), we have: \nV948755 = V778775 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V948755;\nV938117 = V778775 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V938117;\nV956938 = V778775 + 1 = 10 + 1 =11;\nV416959 = V956938 - 1 = 11 - 1 =10;\nNo other varaibles can be derived from V416959;\nV113780 = V956938 - 1 = 11 - 1 =10;\nV200054 = V113780 + 1 = 10 + 1 =11;\nV731456 = V200054 = 11;\nNo other varaibles can be derived from V731456;\nNo other varaibles can be derived from V200054;\nNo other varaibles can be derived from V113780;\nNo other varaibles can be derived from V956938;\nV446440 = V778775 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V446440;\nV096608 = V778775 = 10;\nNo other varaibles can be derived from V096608;\nNo other varaibles can be derived from V778775;\n\nNow we have done all the calculations. Derived variables are:\nV778775 = 10;\nV948755 = 9;\nV938117 = 11;\nV956938 = 11;\nV416959 = 10;\nV113780 = 10;\nV200054 = 11;\nV731456 = 11;\nV446440 = 9;\nV096608 = 10;\n\nNow we have finished this problem. ANSWER:\nV778775, V416959, V113780, V096608\n", "role": "assistant" } ]

[ "V745883", "V706559" ]

[ { "content": "<context>\nassign V310506 = V893068 - 1. assign V902413 = V009435 + 1. assign V558834 = V452280 - 1. assign V391927 = V701245. assign V424137 = V965777. assign V906619 = V496322. assign V639209 = V257215. assign V965777 = V031162 - 1. assign V105775 = V369927 + 1. assign V795973 = V426583 + 1. assign V841791 = V997263. assign V899120 = V975180 - 1. assign V294068 = V666995. assign V488514 = V511841. assign V288385 = V531371. assign V606106 = V535740 + 1. assign V197953 = V997263 + 1. assign V518138 = V535740 + 1. assign V610934 = V269927 - 1. assign V308175 = V688621 + 1. assign V446134 = V817105 - 1. assign V128846 = V595659 + 1. assign V817105 = V939631 + 1. assign V372948 = V680224. assign V752995 = V588169. assign V928516 = V758848 + 1. assign V078208 = V503862. assign V389114 = V949744 - 1. assign V575333 = V899699. assign V493451 = V369927. assign V545080 = V097478 + 1. assign V842664 = 5. assign V097478 = V841791 - 1. assign V929064 = V997263. assign V497578 = V113410. assign V724986 = V304295 - 1. assign V859785 = V669788 + 1. assign V214395 = V893068 - 1. assign V059573 = V187112 - 1. assign V240855 = V612206 - 1. assign V543574 = V064437 + 1. assign V969638 = V805844 + 1. assign V151762 = V413325 + 1. assign V072869 = V744463. assign V426583 = V139237 + 1. assign V243597 = V152689 + 1. assign V052759 = V171728. assign V571372 = V031162 - 1. assign V917088 = V902044 - 1. assign V489024 = V098322. assign V936272 = V810050 - 1. assign V956813 = V431779. assign V082897 = V535740. assign V230420 = V965777 + 1. assign V301152 = V320214 + 1. assign V944921 = V347464 - 1. assign V883293 = V787800 + 1. assign V758848 = V446134. assign V909754 = V983051 + 1. assign V726469 = V817105 - 1. assign V765168 = V414491. assign V753574 = V649593 - 1. assign V765876 = V665977 + 1. assign V983051 = V505255 - 1. assign V778671 = V990598. assign V138410 = V164428. assign V733612 = V152689 - 1. assign V205902 = V549927 + 1. assign V369927 = V606106 + 1. assign V057887 = V778890 - 1. assign V465707 = V379571. assign V790735 = V543943 + 1. assign V431779 = V939631. assign V073996 = V706130 + 1. assign V390935 = V995633 + 1. assign V884483 = V391927 + 1. assign V583646 = V243968 + 1. assign V139237 = V082897 - 1. assign V633325 = V747742 - 1. assign V014501 = V257215 + 1. assign V914485 = V419184 - 1. assign V771860 = V787800 - 1. assign V949744 = V780299 + 1. assign V116772 = V082897 - 1. assign V810789 = V936272 + 1. assign V891726 = V413325 - 1. assign V139213 = V746422 - 1. assign V442283 = V078208. assign V532672 = V335561 + 1. assign V763930 = V210265 - 1. assign V469856 = V639209. assign V071560 = V844471. assign V747742 = V817105. assign V519815 = V599111 + 1. assign V907955 = V207049. assign V299702 = V652288 - 1. assign V612206 = V151762 + 1. assign V335561 = V481996 - 1. assign V347464 = V411104 + 1. assign V562001 = V541034 + 1. assign V288923 = V850503 + 1. assign V218275 = V005383 - 1. assign V511841 = V503862 - 1. assign V431685 = V689231. assign V910769 = V621145 + 1. assign V126707 = V105406. assign V982834 = V643654. assign V650084 = V031162 - 1. assign V528819 = V817105 + 1. assign V212473 = V778890 - 1. assign V757728 = V643654 + 1. assign V099349 = V893068. assign V530222 = V288385 - 1. assign V819008 = V633325 + 1. assign V189530 = V446134 - 1. assign V649593 = V665977. assign V108588 = V309462. assign V995766 = V859785 + 1. assign V079396 = V444544. assign V257215 = V511841. assign V547941 = V975180. assign V576581 = V531371. assign V124999 = V489024 + 1. assign V821936 = V892138. assign V744463 = V097478 - 1. assign V902044 = V098322 + 1. assign V680224 = V031162. assign V723032 = V503862. assign V064437 = V297504 - 1. assign V342560 = V505255 - 1. assign V131141 = V790735 - 1. assign V316904 = V997248. assign V550185 = V511841. assign V207049 = V505255. assign V481996 = V983051 - 1. assign V939631 = V503862. assign V080980 = V535740 + 1. assign V745883 = V669788 - 1. assign V805844 = V838875 + 1. assign V413325 = V244663 - 1. assign V376824 = V014501 - 1. assign V537021 = V059573. assign V013203 = V733612. assign V893068 = V685877 - 1. assign V687060 = V139213. assign V275312 = V723032 - 1. assign V338586 = V446134 - 1. assign V880248 = V342560 - 1. assign V669788 = V842664 - 1. assign V967419 = V321602. assign V531371 = V858389 + 1. assign V496322 = V414491. assign V528988 = V677266 - 1. assign V113410 = V997263. assign V685877 = V197953 - 1. assign V787387 = V411104. assign V513702 = V995633 - 1. assign V080649 = V723032 + 1. assign V543943 = V990598 + 1. assign V548057 = V841791. assign V784269 = V838875 + 1. assign V871758 = V889708 + 1. assign V635990 = V452280 - 1. assign V850503 = V338586 - 1. assign V111496 = V413325 + 1. assign V183920 = V518138. assign V459889 = V379571 + 1. assign V137764 = V372948 - 1. assign V009435 = V844471 + 1. assign V096171 = V113410. assign V706559 = V745883. assign V997263 = V503862 - 1. assign V360655 = V320214 - 1. assign V895628 = V518138 - 1. assign V608094 = V689231 - 1. assign V995633 = V841791 - 1. assign V034279 = V424137 - 1. assign V075847 = V723032 - 1. assign V240712 = V476739 + 1. assign V731625 = V376286 - 1. assign V511947 = V510349 - 1. assign V476739 = V187112 + 1. assign V844471 = V995482 + 1. assign V780881 = V444544 - 1. assign V244663 = V841791. assign V159636 = V518138. assign V549927 = V304295. assign V068109 = V376286. assign V593020 = V588169 + 1. assign V088313 = V014501 - 1. assign V652288 = V995482. assign V984401 = V244663 + 1. assign V802491 = V547941. assign V694455 = V390935. assign V708766 = V205902 + 1. assign V243968 = V747742 + 1. assign V429460 = V075847 + 1. assign V343857 = V746422. assign V707496 = V686374. assign V372628 = V013203 - 1. assign V229065 = V929064 - 1. assign V171728 = V810050 - 1. assign V619194 = V152689 + 1. assign V949066 = V493451 + 1. assign V670069 = V686374. assign V371749 = V426583. assign V688621 = V535740. assign V990598 = V701245. assign V460216 = V730442. assign V402282 = V225039 - 1. assign V384076 = V939631 + 1. assign V895668 = V850503 + 1. assign V211302 = V476739 + 1. assign V677266 = V731625 - 1. assign V899699 = V113410. assign V414491 = V758848 + 1. assign V503862 = V997248 + 1. assign V672424 = V230420 - 1. assign V776819 = V763930 - 1. assign V187112 = V939631 - 1. assign V586954 = V535740 - 1. assign V190244 = V230420 + 1. assign V531108 = V068109 - 1. assign V714735 = V335561. assign V892138 = V660205 + 1. assign V686374 = V431779 - 1. assign V107599 = V857278. assign V164428 = V997248 + 1. assign V858389 = V817105. assign V005383 = V152689 - 1. assign V615747 = V225039 + 1. assign V473059 = V619194 + 1. assign V048607 = V518138. assign V025623 = V576581 - 1. assign V097900 = V178241 + 1. assign V297504 = V411104 - 1. assign V868318 = V949744 + 1. assign V299212 = V429460. assign V726666 = V513702 - 1. assign V392838 = V844471. assign V250922 = V072869 - 1. assign V501042 = V113410 - 1. assign V269927 = V790735. assign V016876 = V275312 + 1. assign V916411 = V758848 + 1. assign V886074 = V758848 + 1. assign V856960 = V956813 + 1. assign V944669 = V075847. assign V866093 = V838875 + 1. assign V519818 = V995766 - 1. assign V090028 = V884826 - 1. assign V444544 = V899699 + 1. assign V105406 = V207049. assign V964272 = V390935 + 1. assign V583561 = V501042 - 1. assign V535740 = V997263 - 1. assign V376286 = V075847. assign V437343 = V071560 + 1. assign V701245 = V995633 - 1. assign V689231 = V013203. assign V954562 = V493451. assign V225039 = V606106 + 1. assign V643654 = V452280. assign V746422 = V886074 + 1. assign V423553 = V274779 - 1. assign V403249 = V895668. assign V131281 = V530222. assign V983537 = V097478. assign V178241 = V747742 + 1. assign V449368 = V080980 - 1. assign V857278 = V983537. assign V896952 = V723032 + 1. assign V518708 = V621145 + 1. assign V399901 = V997248 - 1. assign V833208 = V758848 - 1. assign V621145 = V535740 + 1. assign V021888 = V431779 + 1. assign V706130 = V511841 - 1. assign V548341 = V889708 - 1. assign V098322 = V701245. assign V273048 = V537021. assign V506128 = V747742 - 1. assign V373490 = V005383. assign V060880 = V431779. assign V505255 = V503862 + 1. assign V031573 = V113410 + 1. assign V935733 = V442283 - 1. assign V838875 = V347464 - 1. assign V510349 = V784269. assign V562219 = V752995 - 1. assign V320214 = V384076. assign V599111 = V745883 + 1. assign V778890 = V532672 + 1. assign V436028 = V113410 + 1. assign V969233 = V784269. assign V025679 = V210265 - 1. assign V031162 = V997263 - 1. assign V045353 = V399901. assign V730442 = V321602. assign V884826 = V079396. assign V854902 = V772227. assign V541034 = V694455 - 1. assign V666995 = V686374 - 1. assign V411104 = V446134 - 1. assign V767335 = V606106. assign V263159 = V518138. assign V714056 = V390935 + 1. assign V976289 = V294068 + 1. assign V152689 = V197953 + 1. assign V982638 = V650084 + 1. assign V120118 = V576581 - 1. assign V829049 = V444544. assign V621708 = V841791 - 1. assign V787800 = V097478. assign V422478 = V431779. assign V910106 = V392838. assign V210265 = V844471 - 1. assign V745468 = V997248 + 1. assign V274779 = V838875 - 1. assign V975180 = V078208. assign V379571 = V995633. assign V810050 = V535740. assign V977144 = V639209 + 1. assign V240077 = V025679. assign V665977 = V413325 + 1. assign V890535 = V113410 - 1. assign V604158 = V854902 + 1. assign V595659 = V422478 + 1. assign V782890 = V244663 - 1. assign V452280 = V844471. assign V567088 = V413325 - 1. assign V133417 = V731625 + 1. assign V588169 = V072869 + 1. assign V392749 = V505255 + 1. assign V140102 = V758848 - 1. assign V522301 = V225039. assign V419184 = V335561 - 1. assign V660205 = V841791 - 1. assign V207895 = V437343 + 1. assign V995482 = V997248 + 1. assign V772227 = V113410 - 1. assign V629119 = V211302 - 1. assign V309462 = V347464 - 1. assign V321602 = V899699. assign V304295 = V452280 - 1. assign V866932 = V842664 - 1. assign V780299 = V965777 + 1. assign V601506 = V080980. assign V889708 = V997263 - 1. assign V912117 = V316904 + 1. assign V467541 = V230420 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V310506 = V893068 - 1. assign V902413 = V009435 + 1. assign V558834 = V452280 - 1. assign V391927 = V701245. assign V424137 = V965777. assign V906619 = V496322. assign V639209 = V257215. assign V965777 = V031162 - 1. assign V105775 = V369927 + 1. assign V795973 = V426583 + 1. assign V841791 = V997263. assign V899120 = V975180 - 1. assign V294068 = V666995. assign V488514 = V511841. assign V288385 = V531371. assign V606106 = V535740 + 1. assign V197953 = V997263 + 1. assign V518138 = V535740 + 1. assign V610934 = V269927 - 1. assign V308175 = V688621 + 1. assign V446134 = V817105 - 1. assign V128846 = V595659 + 1. assign V817105 = V939631 + 1. assign V372948 = V680224. assign V752995 = V588169. assign V928516 = V758848 + 1. assign V078208 = V503862. assign V389114 = V949744 - 1. assign V575333 = V899699. assign V493451 = V369927. assign V545080 = V097478 + 1. assign V842664 = 5. assign V097478 = V841791 - 1. assign V929064 = V997263. assign V497578 = V113410. assign V724986 = V304295 - 1. assign V859785 = V669788 + 1. assign V214395 = V893068 - 1. assign V059573 = V187112 - 1. assign V240855 = V612206 - 1. assign V543574 = V064437 + 1. assign V969638 = V805844 + 1. assign V151762 = V413325 + 1. assign V072869 = V744463. assign V426583 = V139237 + 1. assign V243597 = V152689 + 1. assign V052759 = V171728. assign V571372 = V031162 - 1. assign V917088 = V902044 - 1. assign V489024 = V098322. assign V936272 = V810050 - 1. assign V956813 = V431779. assign V082897 = V535740. assign V230420 = V965777 + 1. assign V301152 = V320214 + 1. assign V944921 = V347464 - 1. assign V883293 = V787800 + 1. assign V758848 = V446134. assign V909754 = V983051 + 1. assign V726469 = V817105 - 1. assign V765168 = V414491. assign V753574 = V649593 - 1. assign V765876 = V665977 + 1. assign V983051 = V505255 - 1. assign V778671 = V990598. assign V138410 = V164428. assign V733612 = V152689 - 1. assign V205902 = V549927 + 1. assign V369927 = V606106 + 1. assign V057887 = V778890 - 1. assign V465707 = V379571. assign V790735 = V543943 + 1. assign V431779 = V939631. assign V073996 = V706130 + 1. assign V390935 = V995633 + 1. assign V884483 = V391927 + 1. assign V583646 = V243968 + 1. assign V139237 = V082897 - 1. assign V633325 = V747742 - 1. assign V014501 = V257215 + 1. assign V914485 = V419184 - 1. assign V771860 = V787800 - 1. assign V949744 = V780299 + 1. assign V116772 = V082897 - 1. assign V810789 = V936272 + 1. assign V891726 = V413325 - 1. assign V139213 = V746422 - 1. assign V442283 = V078208. assign V532672 = V335561 + 1. assign V763930 = V210265 - 1. assign V469856 = V639209. assign V071560 = V844471. assign V747742 = V817105. assign V519815 = V599111 + 1. assign V907955 = V207049. assign V299702 = V652288 - 1. assign V612206 = V151762 + 1. assign V335561 = V481996 - 1. assign V347464 = V411104 + 1. assign V562001 = V541034 + 1. assign V288923 = V850503 + 1. assign V218275 = V005383 - 1. assign V511841 = V503862 - 1. assign V431685 = V689231. assign V910769 = V621145 + 1. assign V126707 = V105406. assign V982834 = V643654. assign V650084 = V031162 - 1. assign V528819 = V817105 + 1. assign V212473 = V778890 - 1. assign V757728 = V643654 + 1. assign V099349 = V893068. assign V530222 = V288385 - 1. assign V819008 = V633325 + 1. assign V189530 = V446134 - 1. assign V649593 = V665977. assign V108588 = V309462. assign V995766 = V859785 + 1. assign V079396 = V444544. assign V257215 = V511841. assign V547941 = V975180. assign V576581 = V531371. assign V124999 = V489024 + 1. assign V821936 = V892138. assign V744463 = V097478 - 1. assign V902044 = V098322 + 1. assign V680224 = V031162. assign V723032 = V503862. assign V064437 = V297504 - 1. assign V342560 = V505255 - 1. assign V131141 = V790735 - 1. assign V316904 = V997248. assign V550185 = V511841. assign V207049 = V505255. assign V481996 = V983051 - 1. assign V939631 = V503862. assign V080980 = V535740 + 1. assign V745883 = V669788 - 1. assign V805844 = V838875 + 1. assign V413325 = V244663 - 1. assign V376824 = V014501 - 1. assign V537021 = V059573. assign V013203 = V733612. assign V893068 = V685877 - 1. assign V687060 = V139213. assign V275312 = V723032 - 1. assign V338586 = V446134 - 1. assign V880248 = V342560 - 1. assign V669788 = V842664 - 1. assign V967419 = V321602. assign V531371 = V858389 + 1. assign V496322 = V414491. assign V528988 = V677266 - 1. assign V113410 = V997263. assign V685877 = V197953 - 1. assign V787387 = V411104. assign V513702 = V995633 - 1. assign V080649 = V723032 + 1. assign V543943 = V990598 + 1. assign V548057 = V841791. assign V784269 = V838875 + 1. assign V871758 = V889708 + 1. assign V635990 = V452280 - 1. assign V850503 = V338586 - 1. assign V111496 = V413325 + 1. assign V183920 = V518138. assign V459889 = V379571 + 1. assign V137764 = V372948 - 1. assign V009435 = V844471 + 1. assign V096171 = V113410. assign V706559 = V745883. assign V997263 = V503862 - 1. assign V360655 = V320214 - 1. assign V895628 = V518138 - 1. assign V608094 = V689231 - 1. assign V995633 = V841791 - 1. assign V034279 = V424137 - 1. assign V075847 = V723032 - 1. assign V240712 = V476739 + 1. assign V731625 = V376286 - 1. assign V511947 = V510349 - 1. assign V476739 = V187112 + 1. assign V844471 = V995482 + 1. assign V780881 = V444544 - 1. assign V244663 = V841791. assign V159636 = V518138. assign V549927 = V304295. assign V068109 = V376286. assign V593020 = V588169 + 1. assign V088313 = V014501 - 1. assign V652288 = V995482. assign V984401 = V244663 + 1. assign V802491 = V547941. assign V694455 = V390935. assign V708766 = V205902 + 1. assign V243968 = V747742 + 1. assign V429460 = V075847 + 1. assign V343857 = V746422. assign V707496 = V686374. assign V372628 = V013203 - 1. assign V229065 = V929064 - 1. assign V171728 = V810050 - 1. assign V619194 = V152689 + 1. assign V949066 = V493451 + 1. assign V670069 = V686374. assign V371749 = V426583. assign V688621 = V535740. assign V990598 = V701245. assign V460216 = V730442. assign V402282 = V225039 - 1. assign V384076 = V939631 + 1. assign V895668 = V850503 + 1. assign V211302 = V476739 + 1. assign V677266 = V731625 - 1. assign V899699 = V113410. assign V414491 = V758848 + 1. assign V503862 = V997248 + 1. assign V672424 = V230420 - 1. assign V776819 = V763930 - 1. assign V187112 = V939631 - 1. assign V586954 = V535740 - 1. assign V190244 = V230420 + 1. assign V531108 = V068109 - 1. assign V714735 = V335561. assign V892138 = V660205 + 1. assign V686374 = V431779 - 1. assign V107599 = V857278. assign V164428 = V997248 + 1. assign V858389 = V817105. assign V005383 = V152689 - 1. assign V615747 = V225039 + 1. assign V473059 = V619194 + 1. assign V048607 = V518138. assign V025623 = V576581 - 1. assign V097900 = V178241 + 1. assign V297504 = V411104 - 1. assign V868318 = V949744 + 1. assign V299212 = V429460. assign V726666 = V513702 - 1. assign V392838 = V844471. assign V250922 = V072869 - 1. assign V501042 = V113410 - 1. assign V269927 = V790735. assign V016876 = V275312 + 1. assign V916411 = V758848 + 1. assign V886074 = V758848 + 1. assign V856960 = V956813 + 1. assign V944669 = V075847. assign V866093 = V838875 + 1. assign V519818 = V995766 - 1. assign V090028 = V884826 - 1. assign V444544 = V899699 + 1. assign V105406 = V207049. assign V964272 = V390935 + 1. assign V583561 = V501042 - 1. assign V535740 = V997263 - 1. assign V376286 = V075847. assign V437343 = V071560 + 1. assign V701245 = V995633 - 1. assign V689231 = V013203. assign V954562 = V493451. assign V225039 = V606106 + 1. assign V643654 = V452280. assign V746422 = V886074 + 1. assign V423553 = V274779 - 1. assign V403249 = V895668. assign V131281 = V530222. assign V983537 = V097478. assign V178241 = V747742 + 1. assign V449368 = V080980 - 1. assign V857278 = V983537. assign V896952 = V723032 + 1. assign V518708 = V621145 + 1. assign V399901 = V997248 - 1. assign V833208 = V758848 - 1. assign V621145 = V535740 + 1. assign V021888 = V431779 + 1. assign V706130 = V511841 - 1. assign V548341 = V889708 - 1. assign V098322 = V701245. assign V273048 = V537021. assign V506128 = V747742 - 1. assign V373490 = V005383. assign V060880 = V431779. assign V505255 = V503862 + 1. assign V031573 = V113410 + 1. assign V935733 = V442283 - 1. assign V838875 = V347464 - 1. assign V510349 = V784269. assign V562219 = V752995 - 1. assign V320214 = V384076. assign V599111 = V745883 + 1. assign V778890 = V532672 + 1. assign V436028 = V113410 + 1. assign V969233 = V784269. assign V025679 = V210265 - 1. assign V031162 = V997263 - 1. assign V045353 = V399901. assign V730442 = V321602. assign V884826 = V079396. assign V854902 = V772227. assign V541034 = V694455 - 1. assign V666995 = V686374 - 1. assign V411104 = V446134 - 1. assign V767335 = V606106. assign V263159 = V518138. assign V714056 = V390935 + 1. assign V976289 = V294068 + 1. assign V152689 = V197953 + 1. assign V982638 = V650084 + 1. assign V120118 = V576581 - 1. assign V829049 = V444544. assign V621708 = V841791 - 1. assign V787800 = V097478. assign V422478 = V431779. assign V910106 = V392838. assign V210265 = V844471 - 1. assign V745468 = V997248 + 1. assign V274779 = V838875 - 1. assign V975180 = V078208. assign V379571 = V995633. assign V810050 = V535740. assign V977144 = V639209 + 1. assign V240077 = V025679. assign V665977 = V413325 + 1. assign V890535 = V113410 - 1. assign V604158 = V854902 + 1. assign V595659 = V422478 + 1. assign V782890 = V244663 - 1. assign V452280 = V844471. assign V567088 = V413325 - 1. assign V133417 = V731625 + 1. assign V588169 = V072869 + 1. assign V392749 = V505255 + 1. assign V140102 = V758848 - 1. assign V522301 = V225039. assign V419184 = V335561 - 1. assign V660205 = V841791 - 1. assign V207895 = V437343 + 1. assign V995482 = V997248 + 1. assign V772227 = V113410 - 1. assign V629119 = V211302 - 1. assign V309462 = V347464 - 1. assign V321602 = V899699. assign V304295 = V452280 - 1. assign V866932 = V842664 - 1. assign V780299 = V965777 + 1. assign V601506 = V080980. assign V889708 = V997263 - 1. assign V912117 = V316904 + 1. assign V467541 = V230420 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV842664 = 5;\n\nFrom these direct assignment(s), we have: \nV866932 = V842664 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V866932;\nV669788 = V842664 - 1 = 5 - 1 =4;\nV745883 = V669788 - 1 = 4 - 1 =3;\nV599111 = V745883 + 1 = 3 + 1 =4;\nV519815 = V599111 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V519815;\nNo other varaibles can be derived from V599111;\nV706559 = V745883 = 3;\nNo other varaibles can be derived from V706559;\nNo other varaibles can be derived from V745883;\nV859785 = V669788 + 1 = 4 + 1 =5;\nV995766 = V859785 + 1 = 5 + 1 =6;\nV519818 = V995766 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V519818;\nNo other varaibles can be derived from V995766;\nNo other varaibles can be derived from V859785;\nNo other varaibles can be derived from V669788;\nNo other varaibles can be derived from V842664;\n\nNow we have done all the calculations. Derived variables are:\nV842664 = 5;\nV866932 = 4;\nV669788 = 4;\nV745883 = 3;\nV599111 = 4;\nV519815 = 5;\nV706559 = 3;\nV859785 = 5;\nV995766 = 6;\nV519818 = 5;\n\nNow we have finished this problem. ANSWER:\nV745883, V706559\n", "role": "assistant" } ]

[ "V411644", "V854758", "V837782", "V426330", "V821257" ]

[ { "content": "<context>\nassign V511387 = V942691 - 1. assign V221169 = V409402. assign V164245 = V185178. assign V050593 = V788434 - 1. assign V998847 = V709307. assign V507013 = V784232. assign V941992 = V116194 - 1. assign V848023 = V784232 - 1. assign V669845 = V719071 - 1. assign V870754 = V409402 - 1. assign V063601 = V109091. assign V006149 = V226806 - 1. assign V375160 = V433716 - 1. assign V903327 = V067573. assign V026476 = V507013 - 1. assign V006594 = V831544 + 1. assign V523861 = V325121 - 1. assign V539149 = V035409 - 1. assign V292836 = V540109. assign V033557 = V579107 - 1. assign V943193 = V292836 + 1. assign V633302 = V164928. assign V331108 = V256314 - 1. assign V323102 = V602609 - 1. assign V181681 = V063601 - 1. assign V909532 = V432590. assign V854758 = V411644. assign V629452 = V614725. assign V518517 = V478234. assign V168114 = V596905 + 1. assign V451434 = V116194 - 1. assign V549481 = V685991 - 1. assign V314548 = V971456 - 1. assign V839950 = V708369 - 1. assign V820055 = V101303. assign V114430 = V618335 + 1. assign V395835 = V525242 + 1. assign V329674 = V323102 - 1. assign V195470 = V626314 - 1. assign V187399 = V645382. assign V259690 = V386612. assign V805440 = V596725. assign V618149 = V669845. assign V449046 = V055171. assign V433716 = V151240 + 1. assign V766001 = V151240 + 1. assign V232817 = V185178 + 1. assign V059850 = V105440 + 1. assign V300289 = V618335. assign V780130 = V942691 - 1. assign V209663 = V673496. assign V885528 = V116194. assign V979703 = V667207 + 1. assign V185175 = V579107. assign V942691 = V292836. assign V564754 = V292836 + 1. assign V637479 = V482363 - 1. assign V691114 = V709307 + 1. assign V823056 = V766001 - 1. assign V108914 = V152166 + 1. assign V436267 = V463558 + 1. assign V563953 = V701005 - 1. assign V596725 = V100520 + 1. assign V821040 = V642436. assign V568851 = V978423 - 1. assign V849341 = V754710 - 1. assign V875684 = V943193 - 1. assign V432590 = V355840 - 1. assign V718932 = V226806 + 1. assign V171773 = V701813 - 1. assign V820526 = V645382. assign V780395 = V616274 - 1. assign V818899 = V725101 + 1. assign V095102 = V523861 + 1. assign V261848 = V169276. assign V599090 = V511387 - 1. assign V618335 = V913001. assign V158587 = V755583 + 1. assign V909494 = V742744 - 1. assign V857014 = V055171. assign V058264 = V063601 - 1. assign V478090 = V664944. assign V964660 = V599090 - 1. assign V556584 = V263784. assign V329827 = V645382 - 1. assign V958343 = V685991 - 1. assign V327155 = V419764 - 1. assign V064400 = V386612 + 1. assign V218619 = V058264 - 1. assign V913865 = V209663 - 1. assign V774868 = V316558. assign V078131 = V540109. assign V770567 = V511387 - 1. assign V913001 = V116194 + 1. assign V104071 = V885528 - 1. assign V781545 = V523861. assign V071230 = V885528 - 1. assign V642598 = V292836 - 1. assign V213820 = V645382. assign V880879 = V331108 - 1. assign V112231 = V101303. assign V355840 = V381471 - 1. assign V748578 = V626654 - 1. assign V921542 = V451434 - 1. assign V817514 = V857317 + 1. assign V582263 = V523861 + 1. assign V294691 = V112231 + 1. assign V096800 = V152166 + 1. assign V708369 = V664944. assign V684705 = V263784 + 1. assign V437178 = V218977 + 1. assign V202843 = V256314. assign V701813 = V781178 + 1. assign V661807 = V708369 + 1. assign V055171 = V766001. assign V788434 = V592006 + 1. assign V851845 = V171773 + 1. assign V376709 = V637156 + 1. assign V449778 = V468698 + 1. assign V685991 = V100520. assign V251537 = V227533 + 1. assign V642150 = V667207 - 1. assign V256314 = V820055. assign V325121 = V578939. assign V392528 = V158587. assign V542904 = V213820 + 1. assign V602435 = V637479. assign V700574 = V169276 + 1. assign V841194 = V582263. assign V505287 = V848636 - 1. assign V107657 = V578939. assign V317527 = V394057 + 1. assign V905999 = V579107 + 1. assign V666770 = V229852 - 1. assign V673496 = V885528. assign V195091 = V781178. assign V950917 = V437045 - 1. assign V719071 = V942691. assign V226806 = V312372. assign V403153 = V151240. assign V944569 = V725101 + 1. assign V462282 = V948387. assign V250509 = V171773 + 1. assign V419764 = V578939 - 1. assign V408684 = V451093 + 1. assign V428109 = V227533 + 1. assign V833051 = V026476 - 1. assign V391750 = V209663. assign V030202 = V288743 - 1. assign V716792 = V618335. assign V754710 = V540109. assign V639194 = V716792. assign V184297 = V442659. assign V386612 = V433716. assign V604934 = V300289. assign V264542 = V325121 + 1. assign V201430 = V820526 + 1. assign V437045 = V578939 - 1. assign V508270 = V403153 - 1. assign V569713 = V482363 - 1. assign V021238 = V201909. assign V780228 = V336404 - 1. assign V116194 = V578939 - 1. assign V509846 = V381471 - 1. assign V303402 = V662768 - 1. assign V078637 = V599090. assign V038028 = V251537 + 1. assign V409402 = V463558 - 1. assign V813968 = V599090 - 1. assign V441564 = V730548 - 1. assign V243461 = V669845 + 1. assign V093620 = V303402. assign V542168 = V553214 - 1. assign V532282 = V781178 + 1. assign V261751 = V820526 + 1. assign V258030 = V599090. assign V072232 = V700413. assign V664944 = V151240. assign V614725 = V662768 - 1. assign V152166 = V451093. assign V935778 = V948387 - 1. assign V755583 = V292836 - 1. assign V411644 = V097700 + 1. assign V451093 = V669845 - 1. assign V956890 = V169276 - 1. assign V135699 = V312372. assign V176813 = V905999. assign V921223 = V579107. assign V857317 = V754710 + 1. assign V525242 = V770567 + 1. assign V426330 = V097700 + 1. assign V169276 = V649595. assign V750277 = V526236 + 1. assign V799410 = V938179 - 1. assign V381471 = V323161. assign V070715 = V100520 + 1. assign V964856 = V232817. assign V523433 = V664944 + 1. assign V556931 = V511387 + 1. assign V596905 = V700413 + 1. assign V152879 = V391248 - 1. assign V784302 = V261848. assign V435654 = V831544. assign V468698 = V312372. assign V172224 = V664944. assign V061512 = V568851. assign V590050 = V564754 + 1. assign V719985 = V451434 - 1. assign V194947 = V780130 + 1. assign V938179 = V784302 + 1. assign V168041 = V921542 + 1. assign V391248 = V542168 + 1. assign V187499 = V026476. assign V129620 = V839950 - 1. assign V356819 = V633302. assign V395953 = V942691 - 1. assign V499809 = V172224. assign V532011 = V078131. assign V837782 = V411644. assign V824896 = V006594 + 1. assign V709307 = V026476. assign V201909 = V778314 + 1. assign V636912 = V944569 + 1. assign V619949 = V526236 - 1. assign V724031 = V673496. assign V449532 = V803210 - 1. assign V626314 = V614725 - 1. assign V848636 = V227533 + 1. assign V207289 = V691114 + 1. assign V729780 = V394057. assign V742744 = V171773 + 1. assign V059746 = V403153 - 1. assign V701005 = V564754. assign V423310 = V964660 + 1. assign V126506 = V781545. assign V246909 = V849341 + 1. assign V730548 = V209663 - 1. assign V814521 = V523433 - 1. assign V562740 = V626314 + 1. assign V637156 = V578939 - 1. assign V832267 = V770567. assign V928984 = V303402 + 1. assign V097756 = V181817 + 1. assign V174619 = V201909. assign V100863 = V206073. assign V067573 = V673496 - 1. assign V442659 = V021238 - 1. assign V615770 = V428109 - 1. assign V579107 = V766001 - 1. assign V482363 = V724031. assign V479115 = V164928. assign V164928 = V645382 - 1. assign V463558 = V568851. assign V596363 = V662768 + 1. assign V204495 = V185175 - 1. assign V474606 = V505287 + 1. assign V784232 = V766001 - 1. assign V668617 = V875684 - 1. assign V303424 = V928984. assign V206073 = V261751. assign V218977 = V684705 + 1. assign V640930 = V582263 - 1. assign V153937 = V831544 + 1. assign V602609 = V303402 - 1. assign V526947 = V417969 - 1. assign V187613 = V070715 + 1. assign V213146 = V312372 + 1. assign V263784 = V673496 - 1. assign V798031 = V691837 - 1. assign V105440 = V151240 + 1. assign V700413 = V685991 + 1. assign V550650 = V618335 + 1. assign V478234 = V109091. assign V626654 = V664944 + 1. assign V803210 = V626314. assign V348531 = V885528. assign V261229 = V381471 + 1. assign V531383 = V839950 - 1. assign V821257 = V426330. assign V712604 = V403153. assign V579568 = V579107. assign V133231 = V423310 - 1. assign V417969 = V918899. assign V890311 = V770567 - 1. assign V193137 = V778314 + 1. assign V672172 = V532282 + 1. assign V869454 = V837782 + 1. assign V151240 = V116194 + 1. assign V592006 = V478090. assign V966246 = V890311 - 1. assign V104189 = V097700. assign V109091 = V596905 - 1. assign V181817 = V673496. assign V725101 = V151240. assign V978423 = V766001 - 1. assign V691837 = V563953 - 1. assign V745949 = V323102. assign V227533 = V766001 + 1. assign V667207 = V540109. assign V185178 = V719071. assign V394057 = V781178. assign V367763 = V602755. assign V312372 = V437045. assign V526236 = V618335. assign V831544 = V784232 - 1. assign V676456 = V518517 - 1. assign V693459 = V391750. assign V097700 = 10. assign V099939 = V176813 + 1. assign V948387 = V523433 + 1. assign V035409 = V717964. assign V100520 = V564754. assign V386239 = V428109. assign V763948 = V885528 + 1. assign V616274 = V129620. assign V550259 = V518517 + 1. assign V323161 = V754710. assign V610478 = V685991 + 1. assign V578939 = V078131. assign V553214 = V078131 + 1. assign V395073 = V719071 - 1. assign V781178 = V564754. assign V578432 = V104189. assign V857470 = V411644 - 1. assign V229852 = V244357. assign V662768 = V100520. assign V244357 = V742744. assign V101303 = V701005 - 1. assign V642436 = V568851 - 1. assign V681140 = V693459 - 1. assign V602755 = V592006 + 1. assign V778314 = V669845 + 1. assign V645382 = V105440. assign V761467 = V478090. assign V288743 = V300289. assign V316558 = V097756 + 1. assign V649595 = V942691. assign V288757 = V003898. assign V133225 = V093620 + 1. assign V918899 = V943193 + 1. assign V060221 = V395835. assign V277174 = V820526 + 1. assign V003898 = V935778 + 1. assign V336404 = V579107 + 1. assign V717964 = V944569. assign V899488 = V097756. assign V971456 = V523433. assign V146590 = V701813 + 1. assign V359623 = V078637. assign V865687 = V428109. assign V138316 = V511387 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V511387 = V942691 - 1. assign V221169 = V409402. assign V164245 = V185178. assign V050593 = V788434 - 1. assign V998847 = V709307. assign V507013 = V784232. assign V941992 = V116194 - 1. assign V848023 = V784232 - 1. assign V669845 = V719071 - 1. assign V870754 = V409402 - 1. assign V063601 = V109091. assign V006149 = V226806 - 1. assign V375160 = V433716 - 1. assign V903327 = V067573. assign V026476 = V507013 - 1. assign V006594 = V831544 + 1. assign V523861 = V325121 - 1. assign V539149 = V035409 - 1. assign V292836 = V540109. assign V033557 = V579107 - 1. assign V943193 = V292836 + 1. assign V633302 = V164928. assign V331108 = V256314 - 1. assign V323102 = V602609 - 1. assign V181681 = V063601 - 1. assign V909532 = V432590. assign V854758 = V411644. assign V629452 = V614725. assign V518517 = V478234. assign V168114 = V596905 + 1. assign V451434 = V116194 - 1. assign V549481 = V685991 - 1. assign V314548 = V971456 - 1. assign V839950 = V708369 - 1. assign V820055 = V101303. assign V114430 = V618335 + 1. assign V395835 = V525242 + 1. assign V329674 = V323102 - 1. assign V195470 = V626314 - 1. assign V187399 = V645382. assign V259690 = V386612. assign V805440 = V596725. assign V618149 = V669845. assign V449046 = V055171. assign V433716 = V151240 + 1. assign V766001 = V151240 + 1. assign V232817 = V185178 + 1. assign V059850 = V105440 + 1. assign V300289 = V618335. assign V780130 = V942691 - 1. assign V209663 = V673496. assign V885528 = V116194. assign V979703 = V667207 + 1. assign V185175 = V579107. assign V942691 = V292836. assign V564754 = V292836 + 1. assign V637479 = V482363 - 1. assign V691114 = V709307 + 1. assign V823056 = V766001 - 1. assign V108914 = V152166 + 1. assign V436267 = V463558 + 1. assign V563953 = V701005 - 1. assign V596725 = V100520 + 1. assign V821040 = V642436. assign V568851 = V978423 - 1. assign V849341 = V754710 - 1. assign V875684 = V943193 - 1. assign V432590 = V355840 - 1. assign V718932 = V226806 + 1. assign V171773 = V701813 - 1. assign V820526 = V645382. assign V780395 = V616274 - 1. assign V818899 = V725101 + 1. assign V095102 = V523861 + 1. assign V261848 = V169276. assign V599090 = V511387 - 1. assign V618335 = V913001. assign V158587 = V755583 + 1. assign V909494 = V742744 - 1. assign V857014 = V055171. assign V058264 = V063601 - 1. assign V478090 = V664944. assign V964660 = V599090 - 1. assign V556584 = V263784. assign V329827 = V645382 - 1. assign V958343 = V685991 - 1. assign V327155 = V419764 - 1. assign V064400 = V386612 + 1. assign V218619 = V058264 - 1. assign V913865 = V209663 - 1. assign V774868 = V316558. assign V078131 = V540109. assign V770567 = V511387 - 1. assign V913001 = V116194 + 1. assign V104071 = V885528 - 1. assign V781545 = V523861. assign V071230 = V885528 - 1. assign V642598 = V292836 - 1. assign V213820 = V645382. assign V880879 = V331108 - 1. assign V112231 = V101303. assign V355840 = V381471 - 1. assign V748578 = V626654 - 1. assign V921542 = V451434 - 1. assign V817514 = V857317 + 1. assign V582263 = V523861 + 1. assign V294691 = V112231 + 1. assign V096800 = V152166 + 1. assign V708369 = V664944. assign V684705 = V263784 + 1. assign V437178 = V218977 + 1. assign V202843 = V256314. assign V701813 = V781178 + 1. assign V661807 = V708369 + 1. assign V055171 = V766001. assign V788434 = V592006 + 1. assign V851845 = V171773 + 1. assign V376709 = V637156 + 1. assign V449778 = V468698 + 1. assign V685991 = V100520. assign V251537 = V227533 + 1. assign V642150 = V667207 - 1. assign V256314 = V820055. assign V325121 = V578939. assign V392528 = V158587. assign V542904 = V213820 + 1. assign V602435 = V637479. assign V700574 = V169276 + 1. assign V841194 = V582263. assign V505287 = V848636 - 1. assign V107657 = V578939. assign V317527 = V394057 + 1. assign V905999 = V579107 + 1. assign V666770 = V229852 - 1. assign V673496 = V885528. assign V195091 = V781178. assign V950917 = V437045 - 1. assign V719071 = V942691. assign V226806 = V312372. assign V403153 = V151240. assign V944569 = V725101 + 1. assign V462282 = V948387. assign V250509 = V171773 + 1. assign V419764 = V578939 - 1. assign V408684 = V451093 + 1. assign V428109 = V227533 + 1. assign V833051 = V026476 - 1. assign V391750 = V209663. assign V030202 = V288743 - 1. assign V716792 = V618335. assign V754710 = V540109. assign V639194 = V716792. assign V184297 = V442659. assign V386612 = V433716. assign V604934 = V300289. assign V264542 = V325121 + 1. assign V201430 = V820526 + 1. assign V437045 = V578939 - 1. assign V508270 = V403153 - 1. assign V569713 = V482363 - 1. assign V021238 = V201909. assign V780228 = V336404 - 1. assign V116194 = V578939 - 1. assign V509846 = V381471 - 1. assign V303402 = V662768 - 1. assign V078637 = V599090. assign V038028 = V251537 + 1. assign V409402 = V463558 - 1. assign V813968 = V599090 - 1. assign V441564 = V730548 - 1. assign V243461 = V669845 + 1. assign V093620 = V303402. assign V542168 = V553214 - 1. assign V532282 = V781178 + 1. assign V261751 = V820526 + 1. assign V258030 = V599090. assign V072232 = V700413. assign V664944 = V151240. assign V614725 = V662768 - 1. assign V152166 = V451093. assign V935778 = V948387 - 1. assign V755583 = V292836 - 1. assign V411644 = V097700 + 1. assign V451093 = V669845 - 1. assign V956890 = V169276 - 1. assign V135699 = V312372. assign V176813 = V905999. assign V921223 = V579107. assign V857317 = V754710 + 1. assign V525242 = V770567 + 1. assign V426330 = V097700 + 1. assign V169276 = V649595. assign V750277 = V526236 + 1. assign V799410 = V938179 - 1. assign V381471 = V323161. assign V070715 = V100520 + 1. assign V964856 = V232817. assign V523433 = V664944 + 1. assign V556931 = V511387 + 1. assign V596905 = V700413 + 1. assign V152879 = V391248 - 1. assign V784302 = V261848. assign V435654 = V831544. assign V468698 = V312372. assign V172224 = V664944. assign V061512 = V568851. assign V590050 = V564754 + 1. assign V719985 = V451434 - 1. assign V194947 = V780130 + 1. assign V938179 = V784302 + 1. assign V168041 = V921542 + 1. assign V391248 = V542168 + 1. assign V187499 = V026476. assign V129620 = V839950 - 1. assign V356819 = V633302. assign V395953 = V942691 - 1. assign V499809 = V172224. assign V532011 = V078131. assign V837782 = V411644. assign V824896 = V006594 + 1. assign V709307 = V026476. assign V201909 = V778314 + 1. assign V636912 = V944569 + 1. assign V619949 = V526236 - 1. assign V724031 = V673496. assign V449532 = V803210 - 1. assign V626314 = V614725 - 1. assign V848636 = V227533 + 1. assign V207289 = V691114 + 1. assign V729780 = V394057. assign V742744 = V171773 + 1. assign V059746 = V403153 - 1. assign V701005 = V564754. assign V423310 = V964660 + 1. assign V126506 = V781545. assign V246909 = V849341 + 1. assign V730548 = V209663 - 1. assign V814521 = V523433 - 1. assign V562740 = V626314 + 1. assign V637156 = V578939 - 1. assign V832267 = V770567. assign V928984 = V303402 + 1. assign V097756 = V181817 + 1. assign V174619 = V201909. assign V100863 = V206073. assign V067573 = V673496 - 1. assign V442659 = V021238 - 1. assign V615770 = V428109 - 1. assign V579107 = V766001 - 1. assign V482363 = V724031. assign V479115 = V164928. assign V164928 = V645382 - 1. assign V463558 = V568851. assign V596363 = V662768 + 1. assign V204495 = V185175 - 1. assign V474606 = V505287 + 1. assign V784232 = V766001 - 1. assign V668617 = V875684 - 1. assign V303424 = V928984. assign V206073 = V261751. assign V218977 = V684705 + 1. assign V640930 = V582263 - 1. assign V153937 = V831544 + 1. assign V602609 = V303402 - 1. assign V526947 = V417969 - 1. assign V187613 = V070715 + 1. assign V213146 = V312372 + 1. assign V263784 = V673496 - 1. assign V798031 = V691837 - 1. assign V105440 = V151240 + 1. assign V700413 = V685991 + 1. assign V550650 = V618335 + 1. assign V478234 = V109091. assign V626654 = V664944 + 1. assign V803210 = V626314. assign V348531 = V885528. assign V261229 = V381471 + 1. assign V531383 = V839950 - 1. assign V821257 = V426330. assign V712604 = V403153. assign V579568 = V579107. assign V133231 = V423310 - 1. assign V417969 = V918899. assign V890311 = V770567 - 1. assign V193137 = V778314 + 1. assign V672172 = V532282 + 1. assign V869454 = V837782 + 1. assign V151240 = V116194 + 1. assign V592006 = V478090. assign V966246 = V890311 - 1. assign V104189 = V097700. assign V109091 = V596905 - 1. assign V181817 = V673496. assign V725101 = V151240. assign V978423 = V766001 - 1. assign V691837 = V563953 - 1. assign V745949 = V323102. assign V227533 = V766001 + 1. assign V667207 = V540109. assign V185178 = V719071. assign V394057 = V781178. assign V367763 = V602755. assign V312372 = V437045. assign V526236 = V618335. assign V831544 = V784232 - 1. assign V676456 = V518517 - 1. assign V693459 = V391750. assign V097700 = 10. assign V099939 = V176813 + 1. assign V948387 = V523433 + 1. assign V035409 = V717964. assign V100520 = V564754. assign V386239 = V428109. assign V763948 = V885528 + 1. assign V616274 = V129620. assign V550259 = V518517 + 1. assign V323161 = V754710. assign V610478 = V685991 + 1. assign V578939 = V078131. assign V553214 = V078131 + 1. assign V395073 = V719071 - 1. assign V781178 = V564754. assign V578432 = V104189. assign V857470 = V411644 - 1. assign V229852 = V244357. assign V662768 = V100520. assign V244357 = V742744. assign V101303 = V701005 - 1. assign V642436 = V568851 - 1. assign V681140 = V693459 - 1. assign V602755 = V592006 + 1. assign V778314 = V669845 + 1. assign V645382 = V105440. assign V761467 = V478090. assign V288743 = V300289. assign V316558 = V097756 + 1. assign V649595 = V942691. assign V288757 = V003898. assign V133225 = V093620 + 1. assign V918899 = V943193 + 1. assign V060221 = V395835. assign V277174 = V820526 + 1. assign V003898 = V935778 + 1. assign V336404 = V579107 + 1. assign V717964 = V944569. assign V899488 = V097756. assign V971456 = V523433. assign V146590 = V701813 + 1. assign V359623 = V078637. assign V865687 = V428109. assign V138316 = V511387 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV097700 = 10;\n\nFrom these direct assignment(s), we have: \nV104189 = V097700 = 10;\nV578432 = V104189 = 10;\nNo other varaibles can be derived from V578432;\nNo other varaibles can be derived from V104189;\nV426330 = V097700 + 1 = 10 + 1 =11;\nV821257 = V426330 = 11;\nNo other varaibles can be derived from V821257;\nNo other varaibles can be derived from V426330;\nV411644 = V097700 + 1 = 10 + 1 =11;\nV857470 = V411644 - 1 = 11 - 1 =10;\nNo other varaibles can be derived from V857470;\nV837782 = V411644 = 11;\nV869454 = V837782 + 1 = 11 + 1 =12;\nNo other varaibles can be derived from V869454;\nNo other varaibles can be derived from V837782;\nV854758 = V411644 = 11;\nNo other varaibles can be derived from V854758;\nNo other varaibles can be derived from V411644;\nNo other varaibles can be derived from V097700;\n\nNow we have done all the calculations. Derived variables are:\nV097700 = 10;\nV104189 = 10;\nV578432 = 10;\nV426330 = 11;\nV821257 = 11;\nV411644 = 11;\nV857470 = 10;\nV837782 = 11;\nV869454 = 12;\nV854758 = 11;\n\nNow we have finished this problem. ANSWER:\nV426330, V821257, V411644, V837782, V854758\n", "role": "assistant" } ]

[ "V680660", "V219154", "V915766", "V505269", "V466834" ]

[ { "content": "<context>\nassign V241514 = V800850 - 1. assign V915457 = V488369 + 1. assign V619661 = V049179. assign V611419 = V224812 - 1. assign V218564 = V934870. assign V064343 = V915457. assign V702655 = V481824 + 1. assign V130211 = V016952 + 1. assign V481824 = V991788. assign V319534 = V393573. assign V219154 = V680660. assign V826396 = V043432. assign V286065 = V534613 + 1. assign V579174 = V102893 + 1. assign V646597 = V746600. assign V715332 = V487819 - 1. assign V024641 = V963812 - 1. assign V816530 = V090077 - 1. assign V698813 = V815839 + 1. assign V164197 = V910729 - 1. assign V374788 = V622059. assign V027768 = V800850. assign V541820 = V455432 + 1. assign V306509 = V890637. assign V080860 = V303174. assign V454736 = V250671 - 1. assign V049179 = V646597 + 1. assign V620219 = V689573. assign V194805 = V335182 - 1. assign V223036 = V493774 - 1. assign V284520 = V837566 - 1. assign V493774 = V239214. assign V102893 = V128188. assign V797270 = V102893. assign V828269 = V861226 + 1. assign V366669 = V277195. assign V936219 = V053833. assign V768440 = V612019 + 1. assign V689496 = V329816 + 1. assign V468066 = V746600 + 1. assign V180354 = V487819 - 1. assign V114125 = V622857 - 1. assign V622059 = V713415. assign V390514 = V991958. assign V374469 = V170955 - 1. assign V909763 = V499075 + 1. assign V151066 = V548974 - 1. assign V260214 = V279889 + 1. assign V319611 = V460423. assign V342178 = V308671 - 1. assign V025481 = V186623. assign V389469 = V885069. assign V221209 = V410514 - 1. assign V456341 = V488369 + 1. assign V776093 = V582831 + 1. assign V421790 = V210398 - 1. assign V628536 = V250671 + 1. assign V799612 = V859458. assign V603984 = V033626 + 1. assign V399075 = V407256. assign V931632 = V713415 + 1. assign V287065 = V946561. assign V303174 = V262779. assign V820935 = V620219. assign V293539 = V376353 - 1. assign V235035 = V367561. assign V092726 = V389469 + 1. assign V165830 = V903376. assign V885069 = V963557 + 1. assign V946076 = V017967 - 1. assign V674375 = V466364. assign V890383 = V689573 + 1. assign V434869 = V903376. assign V016952 = V275842 - 1. assign V991788 = V746600 - 1. assign V759628 = V890637. assign V501007 = V934686 - 1. assign V716107 = V713415. assign V410514 = V389469 - 1. assign V170955 = V293539 + 1. assign V708005 = V697163 + 1. assign V053952 = V033626 - 1. assign V090077 = V053833 + 1. assign V706510 = V353039 - 1. assign V502530 = V334830. assign V367054 = V128188 - 1. assign V866973 = V536396. assign V816930 = V099454. assign V791280 = V259408 - 1. assign V058280 = V241514 - 1. assign V942766 = V353039 + 1. assign V815839 = V991958 - 1. assign V534613 = V646597 - 1. assign V575225 = V195376 + 1. assign V759965 = V845091 - 1. assign V027482 = V676660. assign V399367 = V890637. assign V570685 = V204444 + 1. assign V127879 = V407256. assign V017967 = V316189 - 1. assign V247515 = V373376 + 1. assign V488369 = V861226. assign V349948 = V423465 - 1. assign V941144 = V397550. assign V446667 = V195376 + 1. assign V152259 = V487819. assign V935989 = V603984. assign V466364 = V575225. assign V259408 = V566721 - 1. assign V275842 = V731275 + 1. assign V329816 = V646597. assign V903376 = V221900 - 1. assign V135536 = V455432 - 1. assign V927001 = V737846. assign V353039 = V277195 - 1. assign V376353 = V128188 - 1. assign V124803 = V837566 + 1. assign V058932 = V293539 + 1. assign V033472 = V815839 - 1. assign V582831 = V768440. assign V199789 = V376353 + 1. assign V250671 = V676660 - 1. assign V800850 = V199690 - 1. assign V554974 = V646597. assign V713638 = V991958 - 1. assign V799211 = V275842 + 1. assign V189006 = V515274 + 1. assign V158602 = V885069. assign V002193 = V689573 - 1. assign V279889 = V737846 - 1. assign V069475 = V308671 + 1. assign V861226 = V366509 - 1. assign V812707 = V534613 + 1. assign V227916 = V547264. assign V455206 = V165830. assign V330000 = V715332 + 1. assign V859458 = V016952 - 1. assign V454435 = V053833. assign V281696 = V746600. assign V267176 = V768440. assign V513329 = V353039 + 1. assign V397550 = V017355. assign V645644 = V102893 + 1. assign V239214 = V171371. assign V622857 = V033741. assign V493907 = V131870 + 1. assign V478241 = V423749 + 1. assign V461968 = V515274. assign V389220 = V262779. assign V411145 = V209183 - 1. assign V433514 = V608088. assign V836643 = V646597. assign V923821 = V293539 + 1. assign V495842 = V723536 + 1. assign V487219 = V630241 + 1. assign V334595 = V756437. assign V861833 = V196977 - 1. assign V731275 = V489301 + 1. assign V747656 = V252771 - 1. assign V093088 = V454736 + 1. assign V943139 = V515274 - 1. assign V132595 = V189006. assign V949583 = V493907. assign V316960 = V715332 - 1. assign V210398 = V290057 - 1. assign V308671 = V963557. assign V656673 = V756437 + 1. assign V334830 = V195376. assign V674560 = V252771. assign V227318 = V333645 + 1. assign V636563 = V826396 - 1. assign V186623 = V456341 + 1. assign V053833 = V128188 + 1. assign V311946 = V759628 - 1. assign V210665 = V279889 - 1. assign V666403 = V093088. assign V009373 = V180354 - 1. assign V700907 = V374788. assign V630241 = V800850 + 1. assign V471081 = V756437. assign V352982 = V815839 - 1. assign V736340 = V342178 - 1. assign V608088 = V828269 - 1. assign V597550 = V768440 - 1. assign V407256 = V646597. assign V502858 = V746600. assign V883459 = V455432. assign V723536 = V319611. assign V714390 = V250671. assign V680660 = V423749 - 1. assign V575594 = V180354 - 1. assign V590938 = V199789 - 1. assign V017154 = V689573 + 1. assign V963557 = V367054 - 1. assign V676660 = V488369. assign V421343 = V346761 + 1. assign V836463 = V791280. assign V187699 = V941144 + 1. assign V171371 = V316189 - 1. assign V408798 = V281696 + 1. assign V033626 = V333645 + 1. assign V033741 = V390514 + 1. assign V910729 = V746600. assign V173096 = V820803. assign V713415 = V195376 + 1. assign V923111 = V090077 - 1. assign V783443 = V820935 + 1. assign V346761 = V566721. assign V181845 = V175217. assign V674053 = V619661 + 1. assign V262779 = V128188 - 1. assign V923856 = V029326 - 1. assign V969341 = V027482 + 1. assign V142478 = V622857 + 1. assign V286707 = V946561 - 1. assign V393573 = V227916 - 1. assign V199690 = V102893 - 1. assign V316189 = V281696 + 1. assign V499075 = V334830 - 1. assign V198918 = V367054. assign V476040 = V969341 - 1. assign V367561 = V910729 - 1. assign V520356 = V376353. assign V043432 = V316189 - 1. assign V270934 = V547264 + 1. assign V548974 = V746600 + 1. assign V854930 = V619661 - 1. assign V214488 = V281696 - 1. assign V816043 = V645644 + 1. assign V991958 = V367561 - 1. assign V490027 = V676660 + 1. assign V333645 = V373376. assign V915766 = V423749 - 1. assign V196977 = V221900. assign V639200 = V053833 + 1. assign V934686 = V415900 - 1. assign V008332 = V227916 - 1. assign V857269 = V833268 + 1. assign V048225 = V308671. assign V505269 = V485415 - 1. assign V335182 = V277195 + 1. assign V934870 = V991788 + 1. assign V641929 = V653747 + 1. assign V978299 = V909763 + 1. assign V837566 = V311946 - 1. assign V737846 = V502530. assign V221900 = V909763. assign V300262 = V353039. assign V311771 = V946561 - 1. assign V732258 = V504118 + 1. assign V128188 = V746600 + 1. assign V028963 = V622059. assign V029286 = V645644 + 1. assign V029326 = V415900 + 1. assign V557335 = V471081 - 1. assign V300136 = V680660 + 1. assign V224812 = V165830. assign V423749 = 5. assign V415900 = V646597 - 1. assign V335292 = V636563 - 1. assign V899952 = V180354. assign V372293 = V787229 + 1. assign V460423 = V713415 + 1. assign V460548 = V622059. assign V766460 = V989636. assign V184261 = V102006 + 1. assign V501148 = V131870 + 1. assign V489301 = V515274. assign V612019 = V502530. assign V208846 = V931632 - 1. assign V000675 = V731275. assign V489605 = V208846 + 1. assign V124094 = V620219 + 1. assign V547264 = V260214 + 1. assign V358406 = V689496 + 1. assign V577696 = V027768 - 1. assign V561983 = V483800. assign V852207 = V861833 + 1. assign V151727 = V408798. assign V193097 = V367054 + 1. assign V538481 = V194805 - 1. assign V001285 = V833268. assign V495545 = V934870 + 1. assign V890637 = V043432 - 1. assign V946561 = V455432. assign V805663 = V490027. assign V948016 = V175217 + 1. assign V777167 = V737846 + 1. assign V455432 = V566721 - 1. assign V099454 = V833268. assign V520181 = V645644 - 1. assign V366509 = V195376 - 1. assign V548326 = V102893 + 1. assign V784868 = V029326 + 1. assign V252771 = V367054 - 1. assign V102006 = V069475 - 1. assign V921808 = V260214 - 1. assign V566721 = V861226 - 1. assign V414010 = V837566. assign V230111 = V053833 - 1. assign V336505 = V252771 - 1. assign V243358 = V209183. assign V222376 = V175217 - 1. assign V377912 = V008332 - 1. assign V963812 = V275842. assign V209183 = V768440 - 1. assign V989636 = V697163 + 1. assign V487819 = V622059 + 1. assign V277195 = V334830 - 1. assign V563777 = V198918 - 1. assign V017355 = V934870 - 1. assign V239324 = V499075 + 1. assign V821505 = V885069. assign V020174 = V373376 - 1. assign V053253 = V548326. assign V515274 = V293539 - 1. assign V845091 = V408798 + 1. assign V290057 = V460423. assign V756437 = V731275 - 1. assign V697163 = V043432 - 1. assign V498724 = V366509 + 1. assign V653747 = V575225 + 1. assign V699159 = V534613 + 1. assign V373376 = V303174 - 1. assign V266813 = V488369 - 1. assign V833268 = V090077 + 1. assign V859918 = V393573 + 1. assign V656636 = V366509 - 1. assign V485415 = V478241 - 1. assign V504118 = V334830 - 1. assign V386536 = V334830 + 1. assign V661426 = V620219 + 1. assign V820803 = V636563 - 1. assign V746600 = V195376 + 1. assign V551242 = V366509 + 1. assign V865460 = V737846 - 1. assign V466834 = V915766. assign V483800 = V210665 - 1. assign V787229 = V548974 + 1. assign V218035 = V196977 - 1. assign V769140 = V505269 - 1. assign V236949 = V923856 + 1. assign V423465 = V548326 - 1. assign V689573 = V277195. assign V882746 = V468066 + 1. assign V464458 = V393573. assign V204444 = V353039 - 1. assign V447405 = V214488. assign V131870 = V861226 + 1. assign V175217 = V946561 + 1. assign V536396 = V407256 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V241514 = V800850 - 1. assign V915457 = V488369 + 1. assign V619661 = V049179. assign V611419 = V224812 - 1. assign V218564 = V934870. assign V064343 = V915457. assign V702655 = V481824 + 1. assign V130211 = V016952 + 1. assign V481824 = V991788. assign V319534 = V393573. assign V219154 = V680660. assign V826396 = V043432. assign V286065 = V534613 + 1. assign V579174 = V102893 + 1. assign V646597 = V746600. assign V715332 = V487819 - 1. assign V024641 = V963812 - 1. assign V816530 = V090077 - 1. assign V698813 = V815839 + 1. assign V164197 = V910729 - 1. assign V374788 = V622059. assign V027768 = V800850. assign V541820 = V455432 + 1. assign V306509 = V890637. assign V080860 = V303174. assign V454736 = V250671 - 1. assign V049179 = V646597 + 1. assign V620219 = V689573. assign V194805 = V335182 - 1. assign V223036 = V493774 - 1. assign V284520 = V837566 - 1. assign V493774 = V239214. assign V102893 = V128188. assign V797270 = V102893. assign V828269 = V861226 + 1. assign V366669 = V277195. assign V936219 = V053833. assign V768440 = V612019 + 1. assign V689496 = V329816 + 1. assign V468066 = V746600 + 1. assign V180354 = V487819 - 1. assign V114125 = V622857 - 1. assign V622059 = V713415. assign V390514 = V991958. assign V374469 = V170955 - 1. assign V909763 = V499075 + 1. assign V151066 = V548974 - 1. assign V260214 = V279889 + 1. assign V319611 = V460423. assign V342178 = V308671 - 1. assign V025481 = V186623. assign V389469 = V885069. assign V221209 = V410514 - 1. assign V456341 = V488369 + 1. assign V776093 = V582831 + 1. assign V421790 = V210398 - 1. assign V628536 = V250671 + 1. assign V799612 = V859458. assign V603984 = V033626 + 1. assign V399075 = V407256. assign V931632 = V713415 + 1. assign V287065 = V946561. assign V303174 = V262779. assign V820935 = V620219. assign V293539 = V376353 - 1. assign V235035 = V367561. assign V092726 = V389469 + 1. assign V165830 = V903376. assign V885069 = V963557 + 1. assign V946076 = V017967 - 1. assign V674375 = V466364. assign V890383 = V689573 + 1. assign V434869 = V903376. assign V016952 = V275842 - 1. assign V991788 = V746600 - 1. assign V759628 = V890637. assign V501007 = V934686 - 1. assign V716107 = V713415. assign V410514 = V389469 - 1. assign V170955 = V293539 + 1. assign V708005 = V697163 + 1. assign V053952 = V033626 - 1. assign V090077 = V053833 + 1. assign V706510 = V353039 - 1. assign V502530 = V334830. assign V367054 = V128188 - 1. assign V866973 = V536396. assign V816930 = V099454. assign V791280 = V259408 - 1. assign V058280 = V241514 - 1. assign V942766 = V353039 + 1. assign V815839 = V991958 - 1. assign V534613 = V646597 - 1. assign V575225 = V195376 + 1. assign V759965 = V845091 - 1. assign V027482 = V676660. assign V399367 = V890637. assign V570685 = V204444 + 1. assign V127879 = V407256. assign V017967 = V316189 - 1. assign V247515 = V373376 + 1. assign V488369 = V861226. assign V349948 = V423465 - 1. assign V941144 = V397550. assign V446667 = V195376 + 1. assign V152259 = V487819. assign V935989 = V603984. assign V466364 = V575225. assign V259408 = V566721 - 1. assign V275842 = V731275 + 1. assign V329816 = V646597. assign V903376 = V221900 - 1. assign V135536 = V455432 - 1. assign V927001 = V737846. assign V353039 = V277195 - 1. assign V376353 = V128188 - 1. assign V124803 = V837566 + 1. assign V058932 = V293539 + 1. assign V033472 = V815839 - 1. assign V582831 = V768440. assign V199789 = V376353 + 1. assign V250671 = V676660 - 1. assign V800850 = V199690 - 1. assign V554974 = V646597. assign V713638 = V991958 - 1. assign V799211 = V275842 + 1. assign V189006 = V515274 + 1. assign V158602 = V885069. assign V002193 = V689573 - 1. assign V279889 = V737846 - 1. assign V069475 = V308671 + 1. assign V861226 = V366509 - 1. assign V812707 = V534613 + 1. assign V227916 = V547264. assign V455206 = V165830. assign V330000 = V715332 + 1. assign V859458 = V016952 - 1. assign V454435 = V053833. assign V281696 = V746600. assign V267176 = V768440. assign V513329 = V353039 + 1. assign V397550 = V017355. assign V645644 = V102893 + 1. assign V239214 = V171371. assign V622857 = V033741. assign V493907 = V131870 + 1. assign V478241 = V423749 + 1. assign V461968 = V515274. assign V389220 = V262779. assign V411145 = V209183 - 1. assign V433514 = V608088. assign V836643 = V646597. assign V923821 = V293539 + 1. assign V495842 = V723536 + 1. assign V487219 = V630241 + 1. assign V334595 = V756437. assign V861833 = V196977 - 1. assign V731275 = V489301 + 1. assign V747656 = V252771 - 1. assign V093088 = V454736 + 1. assign V943139 = V515274 - 1. assign V132595 = V189006. assign V949583 = V493907. assign V316960 = V715332 - 1. assign V210398 = V290057 - 1. assign V308671 = V963557. assign V656673 = V756437 + 1. assign V334830 = V195376. assign V674560 = V252771. assign V227318 = V333645 + 1. assign V636563 = V826396 - 1. assign V186623 = V456341 + 1. assign V053833 = V128188 + 1. assign V311946 = V759628 - 1. assign V210665 = V279889 - 1. assign V666403 = V093088. assign V009373 = V180354 - 1. assign V700907 = V374788. assign V630241 = V800850 + 1. assign V471081 = V756437. assign V352982 = V815839 - 1. assign V736340 = V342178 - 1. assign V608088 = V828269 - 1. assign V597550 = V768440 - 1. assign V407256 = V646597. assign V502858 = V746600. assign V883459 = V455432. assign V723536 = V319611. assign V714390 = V250671. assign V680660 = V423749 - 1. assign V575594 = V180354 - 1. assign V590938 = V199789 - 1. assign V017154 = V689573 + 1. assign V963557 = V367054 - 1. assign V676660 = V488369. assign V421343 = V346761 + 1. assign V836463 = V791280. assign V187699 = V941144 + 1. assign V171371 = V316189 - 1. assign V408798 = V281696 + 1. assign V033626 = V333645 + 1. assign V033741 = V390514 + 1. assign V910729 = V746600. assign V173096 = V820803. assign V713415 = V195376 + 1. assign V923111 = V090077 - 1. assign V783443 = V820935 + 1. assign V346761 = V566721. assign V181845 = V175217. assign V674053 = V619661 + 1. assign V262779 = V128188 - 1. assign V923856 = V029326 - 1. assign V969341 = V027482 + 1. assign V142478 = V622857 + 1. assign V286707 = V946561 - 1. assign V393573 = V227916 - 1. assign V199690 = V102893 - 1. assign V316189 = V281696 + 1. assign V499075 = V334830 - 1. assign V198918 = V367054. assign V476040 = V969341 - 1. assign V367561 = V910729 - 1. assign V520356 = V376353. assign V043432 = V316189 - 1. assign V270934 = V547264 + 1. assign V548974 = V746600 + 1. assign V854930 = V619661 - 1. assign V214488 = V281696 - 1. assign V816043 = V645644 + 1. assign V991958 = V367561 - 1. assign V490027 = V676660 + 1. assign V333645 = V373376. assign V915766 = V423749 - 1. assign V196977 = V221900. assign V639200 = V053833 + 1. assign V934686 = V415900 - 1. assign V008332 = V227916 - 1. assign V857269 = V833268 + 1. assign V048225 = V308671. assign V505269 = V485415 - 1. assign V335182 = V277195 + 1. assign V934870 = V991788 + 1. assign V641929 = V653747 + 1. assign V978299 = V909763 + 1. assign V837566 = V311946 - 1. assign V737846 = V502530. assign V221900 = V909763. assign V300262 = V353039. assign V311771 = V946561 - 1. assign V732258 = V504118 + 1. assign V128188 = V746600 + 1. assign V028963 = V622059. assign V029286 = V645644 + 1. assign V029326 = V415900 + 1. assign V557335 = V471081 - 1. assign V300136 = V680660 + 1. assign V224812 = V165830. assign V423749 = 5. assign V415900 = V646597 - 1. assign V335292 = V636563 - 1. assign V899952 = V180354. assign V372293 = V787229 + 1. assign V460423 = V713415 + 1. assign V460548 = V622059. assign V766460 = V989636. assign V184261 = V102006 + 1. assign V501148 = V131870 + 1. assign V489301 = V515274. assign V612019 = V502530. assign V208846 = V931632 - 1. assign V000675 = V731275. assign V489605 = V208846 + 1. assign V124094 = V620219 + 1. assign V547264 = V260214 + 1. assign V358406 = V689496 + 1. assign V577696 = V027768 - 1. assign V561983 = V483800. assign V852207 = V861833 + 1. assign V151727 = V408798. assign V193097 = V367054 + 1. assign V538481 = V194805 - 1. assign V001285 = V833268. assign V495545 = V934870 + 1. assign V890637 = V043432 - 1. assign V946561 = V455432. assign V805663 = V490027. assign V948016 = V175217 + 1. assign V777167 = V737846 + 1. assign V455432 = V566721 - 1. assign V099454 = V833268. assign V520181 = V645644 - 1. assign V366509 = V195376 - 1. assign V548326 = V102893 + 1. assign V784868 = V029326 + 1. assign V252771 = V367054 - 1. assign V102006 = V069475 - 1. assign V921808 = V260214 - 1. assign V566721 = V861226 - 1. assign V414010 = V837566. assign V230111 = V053833 - 1. assign V336505 = V252771 - 1. assign V243358 = V209183. assign V222376 = V175217 - 1. assign V377912 = V008332 - 1. assign V963812 = V275842. assign V209183 = V768440 - 1. assign V989636 = V697163 + 1. assign V487819 = V622059 + 1. assign V277195 = V334830 - 1. assign V563777 = V198918 - 1. assign V017355 = V934870 - 1. assign V239324 = V499075 + 1. assign V821505 = V885069. assign V020174 = V373376 - 1. assign V053253 = V548326. assign V515274 = V293539 - 1. assign V845091 = V408798 + 1. assign V290057 = V460423. assign V756437 = V731275 - 1. assign V697163 = V043432 - 1. assign V498724 = V366509 + 1. assign V653747 = V575225 + 1. assign V699159 = V534613 + 1. assign V373376 = V303174 - 1. assign V266813 = V488369 - 1. assign V833268 = V090077 + 1. assign V859918 = V393573 + 1. assign V656636 = V366509 - 1. assign V485415 = V478241 - 1. assign V504118 = V334830 - 1. assign V386536 = V334830 + 1. assign V661426 = V620219 + 1. assign V820803 = V636563 - 1. assign V746600 = V195376 + 1. assign V551242 = V366509 + 1. assign V865460 = V737846 - 1. assign V466834 = V915766. assign V483800 = V210665 - 1. assign V787229 = V548974 + 1. assign V218035 = V196977 - 1. assign V769140 = V505269 - 1. assign V236949 = V923856 + 1. assign V423465 = V548326 - 1. assign V689573 = V277195. assign V882746 = V468066 + 1. assign V464458 = V393573. assign V204444 = V353039 - 1. assign V447405 = V214488. assign V131870 = V861226 + 1. assign V175217 = V946561 + 1. assign V536396 = V407256 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV423749 = 5;\n\nFrom these direct assignment(s), we have: \nV915766 = V423749 - 1 = 5 - 1 =4;\nV466834 = V915766 = 4;\nNo other varaibles can be derived from V466834;\nNo other varaibles can be derived from V915766;\nV680660 = V423749 - 1 = 5 - 1 =4;\nV300136 = V680660 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V300136;\nV219154 = V680660 = 4;\nNo other varaibles can be derived from V219154;\nNo other varaibles can be derived from V680660;\nV478241 = V423749 + 1 = 5 + 1 =6;\nV485415 = V478241 - 1 = 6 - 1 =5;\nV505269 = V485415 - 1 = 5 - 1 =4;\nV769140 = V505269 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V769140;\nNo other varaibles can be derived from V505269;\nNo other varaibles can be derived from V485415;\nNo other varaibles can be derived from V478241;\nNo other varaibles can be derived from V423749;\n\nNow we have done all the calculations. Derived variables are:\nV423749 = 5;\nV915766 = 4;\nV466834 = 4;\nV680660 = 4;\nV300136 = 5;\nV219154 = 4;\nV478241 = 6;\nV485415 = 5;\nV505269 = 4;\nV769140 = 3;\n\nNow we have finished this problem. ANSWER:\nV915766, V466834, V680660, V219154, V505269\n", "role": "assistant" } ]

[ "V169614", "V132824", "V441592", "V952529", "V810035" ]

[ { "content": "<context>\nassign V130686 = V527818 - 1. assign V940359 = V289838 - 1. assign V362161 = V862339 + 1. assign V197311 = V780615. assign V794732 = V943081. assign V833029 = V368454 - 1. assign V449633 = V722125. assign V847116 = V182391. assign V965299 = V384955. assign V910452 = V435471 - 1. assign V469023 = V229131. assign V393707 = V890537 - 1. assign V883118 = V302506. assign V012443 = V019031 + 1. assign V262933 = V229131 - 1. assign V263285 = V757025 - 1. assign V480240 = V937317 - 1. assign V564130 = V519753 + 1. assign V970829 = V093040 + 1. assign V548945 = V665182 + 1. assign V685581 = V943572 - 1. assign V154806 = V319166 + 1. assign V061901 = V320097 + 1. assign V593784 = V403259. assign V169614 = V981622 + 1. assign V757025 = V008088 - 1. assign V756169 = V130686. assign V406026 = V741101. assign V609559 = V937317 + 1. assign V796982 = V264456 - 1. assign V318034 = V304708 + 1. assign V974596 = V320097 - 1. assign V387397 = V475524 - 1. assign V074601 = V552676. assign V152369 = V564130 + 1. assign V839670 = V311754 - 1. assign V355115 = V966572 + 1. assign V403729 = V454134 - 1. assign V981622 = 8. assign V966080 = V556260 - 1. assign V989067 = V288347 - 1. assign V775302 = V200765 + 1. assign V963695 = V839670 - 1. assign V473370 = V036216 - 1. assign V011831 = V086485 + 1. assign V058420 = V827893 - 1. assign V180972 = V235860 + 1. assign V825370 = V148430 - 1. assign V027053 = V355115. assign V962240 = V974596 - 1. assign V665182 = V864009 - 1. assign V525141 = V102282 - 1. assign V634593 = V093040 - 1. assign V807858 = V243085 + 1. assign V467312 = V141465 - 1. assign V289838 = V104951 - 1. assign V046986 = V970676. assign V406895 = V936730 - 1. assign V494312 = V124340. assign V829003 = V651283 - 1. assign V443718 = V861414 - 1. assign V216586 = V200765 - 1. assign V653017 = V027605. assign V541817 = V902752 + 1. assign V233316 = V773085 + 1. assign V403328 = V589573. assign V442229 = V032157 + 1. assign V754040 = V524348 - 1. assign V996268 = V332700. assign V314621 = V061901 + 1. assign V864009 = V401598. assign V367545 = V541817 + 1. assign V027067 = V119950 + 1. assign V442130 = V031054. assign V374660 = V008088. assign V476529 = V810131. assign V243085 = V141308. assign V677776 = V479354 + 1. assign V986765 = V658613 + 1. assign V552676 = V141465 + 1. assign V603283 = V754166. assign V780615 = V078762 + 1. assign V943110 = V365532. assign V066530 = V751343. assign V848575 = V476001 + 1. assign V051656 = V753694. assign V144082 = V027067 - 1. assign V548556 = V005724 + 1. assign V627878 = V334622 + 1. assign V479354 = V527818. assign V119950 = V352704 - 1. assign V419260 = V104305 + 1. assign V032157 = V980443. assign V962815 = V079397 + 1. assign V454134 = V234702. assign V775563 = V974770 + 1. assign V952529 = V285777 + 1. assign V665326 = V119950. assign V343508 = V590328. assign V271423 = V974596 + 1. assign V503314 = V866534 + 1. assign V200765 = V479354 - 1. assign V397207 = V035919 - 1. assign V968895 = V031054 - 1. assign V500075 = V981622. assign V104305 = V019031. assign V421893 = V343508 - 1. assign V556260 = V141465 - 1. assign V735618 = V764985. assign V980443 = V864009 + 1. assign V683183 = V058627 - 1. assign V046117 = V180972 + 1. assign V487948 = V564130 - 1. assign V769575 = V861414. assign V592055 = V141308 + 1. assign V446968 = V753694 - 1. assign V512839 = V590328. assign V141456 = V443718 - 1. assign V079397 = V966572. assign V745221 = V130686 + 1. assign V955459 = V699635 + 1. assign V830249 = V262933 + 1. assign V561936 = V079397. assign V737444 = V469023. assign V005724 = V590328. assign V324058 = V653017. assign V123471 = V442106 + 1. assign V182391 = V966572 + 1. assign V946724 = V979702 - 1. assign V911703 = V365532 - 1. assign V006041 = V707232 + 1. assign V259494 = V403259 - 1. assign V687126 = V864009. assign V102282 = V937317 - 1. assign V456934 = V773085 - 1. assign V269679 = V722125 - 1. assign V362482 = V008088 + 1. assign V141465 = V722125 - 1. assign V516999 = V387725. assign V172411 = V965299 + 1. assign V862339 = V403259 + 1. assign V234702 = V343508. assign V966572 = V343508. assign V902752 = V365532 + 1. assign V522732 = V006041 + 1. assign V245282 = V862339 - 1. assign V497488 = V031054 - 1. assign V736372 = V035919 - 1. assign V751343 = V201190 - 1. assign V754166 = V343508 + 1. assign V372183 = V046986. assign V980779 = V365532 - 1. assign V174540 = V530567 - 1. assign V036882 = V372183 - 1. assign V692059 = V403729 - 1. assign V215013 = V401598. assign V662337 = V141465 + 1. assign V401598 = V141308 + 1. assign V469041 = V369359. assign V648656 = V786576. assign V120103 = V027067 - 1. assign V249955 = V355115 + 1. assign V354138 = V548556 + 1. assign V791278 = V900052 - 1. assign V269111 = V124340. assign V045699 = V905659 - 1. assign V392768 = V174540. assign V053097 = V331946 - 1. assign V242905 = V355115. assign V218998 = V401598 + 1. assign V459562 = V944207 - 1. assign V368454 = V302506. assign V207604 = V963695. assign V341961 = V675151. assign V943572 = V264456 - 1. assign V036216 = V012443. assign V807637 = V943081. assign V128746 = V320097 + 1. assign V369359 = V104951 + 1. assign V786576 = V005724 - 1. assign V930291 = V421893 - 1. assign V598475 = V078762 - 1. assign V078762 = V966572. assign V967330 = V962815. assign V703549 = V365532 + 1. assign V714977 = V943572 - 1. assign V107446 = V524348. assign V839785 = V948676. assign V133920 = V022760 - 1. assign V773085 = V589449. assign V403259 = V658613 + 1. assign V156002 = V980443 - 1. assign V344609 = V141308 + 1. assign V944938 = V320566 + 1. assign V320566 = V687009 + 1. assign V810131 = V061901 - 1. assign V466926 = V311754. assign V027605 = V687009. assign V724418 = V979702. assign V527818 = V079397. assign V197834 = V482218 + 1. assign V088265 = V980443 + 1. assign V001273 = V963695 - 1. assign V974770 = V746343 + 1. assign V058627 = V387725. assign V201190 = V046986 - 1. assign V335429 = V833029 + 1. assign V035919 = V243085. assign V323576 = V311754 - 1. assign V285777 = V169614 - 1. assign V524348 = V658613. assign V143299 = V769575 + 1. assign V476001 = V603283. assign V658613 = V590328 + 1. assign V937317 = V527818 - 1. assign V093040 = V124340 + 1. assign V743999 = V156002 - 1. assign V741101 = V141465 + 1. assign V125075 = V079397. assign V651283 = V243085 - 1. assign V304708 = V169614 + 1. assign V429953 = V079397 - 1. assign V438053 = V979702. assign V900052 = V786576. assign V100957 = V634593 + 1. assign V264456 = V556260. assign V647102 = V429953 - 1. assign V570873 = V216586 + 1. assign V179816 = V962240 - 1. assign V801423 = V124340 + 1. assign V435471 = V215013. assign V384827 = V475524 + 1. assign V418635 = V167527 + 1. assign V054458 = V262933 + 1. assign V530567 = V365532. assign V997124 = V524348 + 1. assign V497954 = V943572 + 1. assign V777777 = V243085. assign V946879 = V745996. assign V404629 = V902752. assign V590328 = V311754. assign V608739 = V497954 - 1. assign V351356 = V343508 - 1. assign V890537 = V658613 - 1. assign V687009 = V754166 - 1. assign V302506 = V890537 + 1. assign V458295 = V027605 - 1. assign V944207 = V365532 - 1. assign V516650 = V104951 + 1. assign V905659 = V262933 + 1. assign V707232 = V769575. assign V167610 = V093040. assign V068381 = V245282 - 1. assign V394676 = V351331 - 1. assign V753694 = V167527 + 1. assign V001509 = V104951 + 1. assign V970676 = V429953 + 1. assign V507017 = V264456. assign V746343 = V970676 + 1. assign V980498 = V245301 - 1. assign V979702 = V311754 + 1. assign V434157 = V215013 + 1. assign V334622 = V311754 + 1. assign V687612 = V027067 + 1. assign V646329 = V751343 + 1. assign V936730 = V311754 - 1. assign V506811 = V703549 - 1. assign V441592 = V132824. assign V775158 = V352704 - 1. assign V152935 = V979702 - 1. assign V540970 = V022760. assign V298528 = V940359. assign V739954 = V323576. assign V482218 = V603283 - 1. assign V391219 = V334622 + 1. assign V948676 = V866534. assign V840301 = V966572. assign V265695 = V911703 + 1. assign V167527 = V401598. assign V442106 = V263285. assign V925482 = V074601 - 1. assign V086485 = V699635 - 1. assign V802099 = V751343 - 1. assign V282963 = V634593 + 1. assign V400392 = V825370 + 1. assign V748734 = V167998 + 1. assign V589573 = V298528 - 1. assign V798165 = V141465 - 1. assign V675151 = V482218 + 1. assign V167998 = V262933. assign V031054 = V801423. assign V288347 = V466926 - 1. assign V351331 = V429953 + 1. assign V317153 = V332700 - 1. assign V693176 = V699635 + 1. assign V589449 = V245282 + 1. assign V601995 = V394676 - 1. assign V148430 = V479354 + 1. assign V320097 = V372183. assign V104951 = V754166 + 1. assign V699635 = V980443 - 1. assign V261059 = V027605. assign V629222 = V833029. assign V352704 = V993993 - 1. assign V430748 = V167998 + 1. assign V150239 = V825370 + 1. assign V960943 = V019031. assign V665532 = V216586. assign V653985 = V561936. assign V141308 = V429953 + 1. assign V797822 = V078762 + 1. assign V940374 = V773085 - 1. assign V365532 = V658613 - 1. assign V861414 = V687009. assign V043388 = V298528. assign V319166 = V234702 + 1. assign V810035 = V285777 + 1. assign V519753 = V141308. assign V132824 = V169614. assign V850378 = V943110. assign V884800 = V442130. assign V863944 = V940359 - 1. assign V124340 = V403259. assign V235860 = V967330. assign V943081 = V677776. assign V022760 = V936730 - 1. assign V433765 = V012443 + 1. assign V646187 = V840301 + 1. assign V394498 = V384955 - 1. assign V008088 = V403259 + 1. assign V866534 = V317153. assign V229131 = V590328. assign V384955 = V141308 - 1. assign V764985 = V119950 + 1. assign V722125 = V527818 + 1. assign V748717 = V825370 + 1. assign V475524 = V031054. assign V019031 = V801423 + 1. assign V745996 = V032157 + 1. assign V245301 = V902752 - 1. assign V387725 = V970676. assign V331946 = V403259 + 1. assign V196009 = V008088 - 1. assign V830473 = V687009. assign V332700 = V368454 - 1. assign V533420 = V589449 + 1. assign V827893 = V592055. assign V810372 = V810131 - 1. assign V214341 = V319166. assign V993993 = V527818 + 1. assign V188059 = V777777 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V130686 = V527818 - 1. assign V940359 = V289838 - 1. assign V362161 = V862339 + 1. assign V197311 = V780615. assign V794732 = V943081. assign V833029 = V368454 - 1. assign V449633 = V722125. assign V847116 = V182391. assign V965299 = V384955. assign V910452 = V435471 - 1. assign V469023 = V229131. assign V393707 = V890537 - 1. assign V883118 = V302506. assign V012443 = V019031 + 1. assign V262933 = V229131 - 1. assign V263285 = V757025 - 1. assign V480240 = V937317 - 1. assign V564130 = V519753 + 1. assign V970829 = V093040 + 1. assign V548945 = V665182 + 1. assign V685581 = V943572 - 1. assign V154806 = V319166 + 1. assign V061901 = V320097 + 1. assign V593784 = V403259. assign V169614 = V981622 + 1. assign V757025 = V008088 - 1. assign V756169 = V130686. assign V406026 = V741101. assign V609559 = V937317 + 1. assign V796982 = V264456 - 1. assign V318034 = V304708 + 1. assign V974596 = V320097 - 1. assign V387397 = V475524 - 1. assign V074601 = V552676. assign V152369 = V564130 + 1. assign V839670 = V311754 - 1. assign V355115 = V966572 + 1. assign V403729 = V454134 - 1. assign V981622 = 8. assign V966080 = V556260 - 1. assign V989067 = V288347 - 1. assign V775302 = V200765 + 1. assign V963695 = V839670 - 1. assign V473370 = V036216 - 1. assign V011831 = V086485 + 1. assign V058420 = V827893 - 1. assign V180972 = V235860 + 1. assign V825370 = V148430 - 1. assign V027053 = V355115. assign V962240 = V974596 - 1. assign V665182 = V864009 - 1. assign V525141 = V102282 - 1. assign V634593 = V093040 - 1. assign V807858 = V243085 + 1. assign V467312 = V141465 - 1. assign V289838 = V104951 - 1. assign V046986 = V970676. assign V406895 = V936730 - 1. assign V494312 = V124340. assign V829003 = V651283 - 1. assign V443718 = V861414 - 1. assign V216586 = V200765 - 1. assign V653017 = V027605. assign V541817 = V902752 + 1. assign V233316 = V773085 + 1. assign V403328 = V589573. assign V442229 = V032157 + 1. assign V754040 = V524348 - 1. assign V996268 = V332700. assign V314621 = V061901 + 1. assign V864009 = V401598. assign V367545 = V541817 + 1. assign V027067 = V119950 + 1. assign V442130 = V031054. assign V374660 = V008088. assign V476529 = V810131. assign V243085 = V141308. assign V677776 = V479354 + 1. assign V986765 = V658613 + 1. assign V552676 = V141465 + 1. assign V603283 = V754166. assign V780615 = V078762 + 1. assign V943110 = V365532. assign V066530 = V751343. assign V848575 = V476001 + 1. assign V051656 = V753694. assign V144082 = V027067 - 1. assign V548556 = V005724 + 1. assign V627878 = V334622 + 1. assign V479354 = V527818. assign V119950 = V352704 - 1. assign V419260 = V104305 + 1. assign V032157 = V980443. assign V962815 = V079397 + 1. assign V454134 = V234702. assign V775563 = V974770 + 1. assign V952529 = V285777 + 1. assign V665326 = V119950. assign V343508 = V590328. assign V271423 = V974596 + 1. assign V503314 = V866534 + 1. assign V200765 = V479354 - 1. assign V397207 = V035919 - 1. assign V968895 = V031054 - 1. assign V500075 = V981622. assign V104305 = V019031. assign V421893 = V343508 - 1. assign V556260 = V141465 - 1. assign V735618 = V764985. assign V980443 = V864009 + 1. assign V683183 = V058627 - 1. assign V046117 = V180972 + 1. assign V487948 = V564130 - 1. assign V769575 = V861414. assign V592055 = V141308 + 1. assign V446968 = V753694 - 1. assign V512839 = V590328. assign V141456 = V443718 - 1. assign V079397 = V966572. assign V745221 = V130686 + 1. assign V955459 = V699635 + 1. assign V830249 = V262933 + 1. assign V561936 = V079397. assign V737444 = V469023. assign V005724 = V590328. assign V324058 = V653017. assign V123471 = V442106 + 1. assign V182391 = V966572 + 1. assign V946724 = V979702 - 1. assign V911703 = V365532 - 1. assign V006041 = V707232 + 1. assign V259494 = V403259 - 1. assign V687126 = V864009. assign V102282 = V937317 - 1. assign V456934 = V773085 - 1. assign V269679 = V722125 - 1. assign V362482 = V008088 + 1. assign V141465 = V722125 - 1. assign V516999 = V387725. assign V172411 = V965299 + 1. assign V862339 = V403259 + 1. assign V234702 = V343508. assign V966572 = V343508. assign V902752 = V365532 + 1. assign V522732 = V006041 + 1. assign V245282 = V862339 - 1. assign V497488 = V031054 - 1. assign V736372 = V035919 - 1. assign V751343 = V201190 - 1. assign V754166 = V343508 + 1. assign V372183 = V046986. assign V980779 = V365532 - 1. assign V174540 = V530567 - 1. assign V036882 = V372183 - 1. assign V692059 = V403729 - 1. assign V215013 = V401598. assign V662337 = V141465 + 1. assign V401598 = V141308 + 1. assign V469041 = V369359. assign V648656 = V786576. assign V120103 = V027067 - 1. assign V249955 = V355115 + 1. assign V354138 = V548556 + 1. assign V791278 = V900052 - 1. assign V269111 = V124340. assign V045699 = V905659 - 1. assign V392768 = V174540. assign V053097 = V331946 - 1. assign V242905 = V355115. assign V218998 = V401598 + 1. assign V459562 = V944207 - 1. assign V368454 = V302506. assign V207604 = V963695. assign V341961 = V675151. assign V943572 = V264456 - 1. assign V036216 = V012443. assign V807637 = V943081. assign V128746 = V320097 + 1. assign V369359 = V104951 + 1. assign V786576 = V005724 - 1. assign V930291 = V421893 - 1. assign V598475 = V078762 - 1. assign V078762 = V966572. assign V967330 = V962815. assign V703549 = V365532 + 1. assign V714977 = V943572 - 1. assign V107446 = V524348. assign V839785 = V948676. assign V133920 = V022760 - 1. assign V773085 = V589449. assign V403259 = V658613 + 1. assign V156002 = V980443 - 1. assign V344609 = V141308 + 1. assign V944938 = V320566 + 1. assign V320566 = V687009 + 1. assign V810131 = V061901 - 1. assign V466926 = V311754. assign V027605 = V687009. assign V724418 = V979702. assign V527818 = V079397. assign V197834 = V482218 + 1. assign V088265 = V980443 + 1. assign V001273 = V963695 - 1. assign V974770 = V746343 + 1. assign V058627 = V387725. assign V201190 = V046986 - 1. assign V335429 = V833029 + 1. assign V035919 = V243085. assign V323576 = V311754 - 1. assign V285777 = V169614 - 1. assign V524348 = V658613. assign V143299 = V769575 + 1. assign V476001 = V603283. assign V658613 = V590328 + 1. assign V937317 = V527818 - 1. assign V093040 = V124340 + 1. assign V743999 = V156002 - 1. assign V741101 = V141465 + 1. assign V125075 = V079397. assign V651283 = V243085 - 1. assign V304708 = V169614 + 1. assign V429953 = V079397 - 1. assign V438053 = V979702. assign V900052 = V786576. assign V100957 = V634593 + 1. assign V264456 = V556260. assign V647102 = V429953 - 1. assign V570873 = V216586 + 1. assign V179816 = V962240 - 1. assign V801423 = V124340 + 1. assign V435471 = V215013. assign V384827 = V475524 + 1. assign V418635 = V167527 + 1. assign V054458 = V262933 + 1. assign V530567 = V365532. assign V997124 = V524348 + 1. assign V497954 = V943572 + 1. assign V777777 = V243085. assign V946879 = V745996. assign V404629 = V902752. assign V590328 = V311754. assign V608739 = V497954 - 1. assign V351356 = V343508 - 1. assign V890537 = V658613 - 1. assign V687009 = V754166 - 1. assign V302506 = V890537 + 1. assign V458295 = V027605 - 1. assign V944207 = V365532 - 1. assign V516650 = V104951 + 1. assign V905659 = V262933 + 1. assign V707232 = V769575. assign V167610 = V093040. assign V068381 = V245282 - 1. assign V394676 = V351331 - 1. assign V753694 = V167527 + 1. assign V001509 = V104951 + 1. assign V970676 = V429953 + 1. assign V507017 = V264456. assign V746343 = V970676 + 1. assign V980498 = V245301 - 1. assign V979702 = V311754 + 1. assign V434157 = V215013 + 1. assign V334622 = V311754 + 1. assign V687612 = V027067 + 1. assign V646329 = V751343 + 1. assign V936730 = V311754 - 1. assign V506811 = V703549 - 1. assign V441592 = V132824. assign V775158 = V352704 - 1. assign V152935 = V979702 - 1. assign V540970 = V022760. assign V298528 = V940359. assign V739954 = V323576. assign V482218 = V603283 - 1. assign V391219 = V334622 + 1. assign V948676 = V866534. assign V840301 = V966572. assign V265695 = V911703 + 1. assign V167527 = V401598. assign V442106 = V263285. assign V925482 = V074601 - 1. assign V086485 = V699635 - 1. assign V802099 = V751343 - 1. assign V282963 = V634593 + 1. assign V400392 = V825370 + 1. assign V748734 = V167998 + 1. assign V589573 = V298528 - 1. assign V798165 = V141465 - 1. assign V675151 = V482218 + 1. assign V167998 = V262933. assign V031054 = V801423. assign V288347 = V466926 - 1. assign V351331 = V429953 + 1. assign V317153 = V332700 - 1. assign V693176 = V699635 + 1. assign V589449 = V245282 + 1. assign V601995 = V394676 - 1. assign V148430 = V479354 + 1. assign V320097 = V372183. assign V104951 = V754166 + 1. assign V699635 = V980443 - 1. assign V261059 = V027605. assign V629222 = V833029. assign V352704 = V993993 - 1. assign V430748 = V167998 + 1. assign V150239 = V825370 + 1. assign V960943 = V019031. assign V665532 = V216586. assign V653985 = V561936. assign V141308 = V429953 + 1. assign V797822 = V078762 + 1. assign V940374 = V773085 - 1. assign V365532 = V658613 - 1. assign V861414 = V687009. assign V043388 = V298528. assign V319166 = V234702 + 1. assign V810035 = V285777 + 1. assign V519753 = V141308. assign V132824 = V169614. assign V850378 = V943110. assign V884800 = V442130. assign V863944 = V940359 - 1. assign V124340 = V403259. assign V235860 = V967330. assign V943081 = V677776. assign V022760 = V936730 - 1. assign V433765 = V012443 + 1. assign V646187 = V840301 + 1. assign V394498 = V384955 - 1. assign V008088 = V403259 + 1. assign V866534 = V317153. assign V229131 = V590328. assign V384955 = V141308 - 1. assign V764985 = V119950 + 1. assign V722125 = V527818 + 1. assign V748717 = V825370 + 1. assign V475524 = V031054. assign V019031 = V801423 + 1. assign V745996 = V032157 + 1. assign V245301 = V902752 - 1. assign V387725 = V970676. assign V331946 = V403259 + 1. assign V196009 = V008088 - 1. assign V830473 = V687009. assign V332700 = V368454 - 1. assign V533420 = V589449 + 1. assign V827893 = V592055. assign V810372 = V810131 - 1. assign V214341 = V319166. assign V993993 = V527818 + 1. assign V188059 = V777777 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV981622 = 8;\n\nFrom these direct assignment(s), we have: \nV500075 = V981622 = 8;\nNo other varaibles can be derived from V500075;\nV169614 = V981622 + 1 = 8 + 1 =9;\nV132824 = V169614 = 9;\nV441592 = V132824 = 9;\nNo other varaibles can be derived from V441592;\nNo other varaibles can be derived from V132824;\nV304708 = V169614 + 1 = 9 + 1 =10;\nV318034 = V304708 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V318034;\nNo other varaibles can be derived from V304708;\nV285777 = V169614 - 1 = 9 - 1 =8;\nV810035 = V285777 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V810035;\nV952529 = V285777 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V952529;\nNo other varaibles can be derived from V285777;\nNo other varaibles can be derived from V169614;\nNo other varaibles can be derived from V981622;\n\nNow we have done all the calculations. Derived variables are:\nV981622 = 8;\nV500075 = 8;\nV169614 = 9;\nV132824 = 9;\nV441592 = 9;\nV304708 = 10;\nV318034 = 11;\nV285777 = 8;\nV810035 = 9;\nV952529 = 9;\n\nNow we have finished this problem. ANSWER:\nV169614, V132824, V441592, V810035, V952529\n", "role": "assistant" } ]

[ "V968481", "V078260", "V704238", "V430012" ]

[ { "content": "<context>\nassign V436175 = V550647 - 1. assign V019014 = V259889. assign V776737 = V550647. assign V234474 = V451172. assign V903363 = V559662. assign V706435 = V188435. assign V107844 = V423051 - 1. assign V201496 = V231656. assign V406958 = V436143 + 1. assign V369580 = V467153 - 1. assign V661238 = V825009 + 1. assign V458218 = V450069. assign V389565 = V619011 - 1. assign V542294 = V231656. assign V022845 = V065007 - 1. assign V840228 = V381133. assign V084975 = V017676 - 1. assign V596559 = V188435 + 1. assign V745567 = V388726 + 1. assign V257454 = V522973 - 1. assign V927304 = V283929. assign V410424 = V314937 + 1. assign V894812 = V070913. assign V729163 = V596167 - 1. assign V551987 = V193900 - 1. assign V595358 = V720081 + 1. assign V057783 = V656056 - 1. assign V082785 = V898747 + 1. assign V112222 = V263828 - 1. assign V496768 = V167591 + 1. assign V186425 = V624897 - 1. assign V264403 = V452161 - 1. assign V431361 = V898747 + 1. assign V039552 = V597486 + 1. assign V675203 = V808307 + 1. assign V706951 = V905950. assign V992311 = V055282. assign V808228 = V048193 + 1. assign V216434 = V458218 - 1. assign V044513 = V329462 + 1. assign V919465 = V343287 + 1. assign V615468 = V811905. assign V793414 = V559662 + 1. assign V229711 = V905950 + 1. assign V578458 = V496768 - 1. assign V452161 = V003478. assign V230315 = V112222 + 1. assign V693735 = V543429 + 1. assign V160018 = V761618 + 1. assign V288117 = V293135 + 1. assign V527702 = V710355. assign V704238 = V907661 - 1. assign V898747 = V188435. assign V370909 = V995790 - 1. assign V631538 = V341420 - 1. assign V879505 = V400739 + 1. assign V343287 = V578458. assign V353823 = V299352 + 1. assign V864637 = V355963 + 1. assign V638228 = V881134 + 1. assign V098299 = V585455 - 1. assign V095965 = V496768 - 1. assign V318913 = V242502 - 1. assign V059450 = V243595. assign V585455 = V575617. assign V905950 = V025027 + 1. assign V402898 = V073679 - 1. assign V942833 = V351405. assign V167591 = V633908 + 1. assign V921516 = V893140 - 1. assign V879690 = V060302 + 1. assign V339264 = V496768 - 1. assign V242502 = V619011. assign V865639 = V095620 - 1. assign V375813 = V369580 + 1. assign V475154 = V846744 - 1. assign V221661 = V998774 - 1. assign V366211 = V038262 + 1. assign V589434 = V597486 - 1. assign V193900 = V768424 + 1. assign V045739 = V141183 + 1. assign V258904 = V059450 + 1. assign V698910 = V160018 - 1. assign V520187 = V351405 + 1. assign V622660 = V431361 + 1. assign V467153 = V573439. assign V774808 = V590485 - 1. assign V243595 = V688326 + 1. assign V097413 = V060302 + 1. assign V742857 = V393923 - 1. assign V084829 = V632099 - 1. assign V620037 = V880791 + 1. assign V388726 = V055282. assign V739867 = V992311 - 1. assign V656587 = V690911 - 1. assign V299352 = V619011 - 1. assign V369210 = V878002 - 1. assign V826410 = V038262 - 1. assign V054760 = V017676. assign V555425 = V055110 - 1. assign V647328 = V137408 - 1. assign V818937 = V200907 - 1. assign V048193 = V880791. assign V820321 = V550647. assign V570498 = V059450 - 1. assign V291440 = V299352. assign V400739 = V877918 - 1. assign V065007 = V688326 + 1. assign V632214 = V157030 + 1. assign V356594 = V898747 - 1. assign V633908 = V283929 - 1. assign V381133 = V878002. assign V002938 = V575617. assign V660658 = V575617 - 1. assign V079291 = V506301 + 1. assign V486598 = V828311 + 1. assign V896836 = V739569 - 1. assign V429963 = V137408 + 1. assign V998774 = V038262. assign V674189 = V003478 + 1. assign V619011 = V193900 + 1. assign V901071 = V186425 - 1. assign V048323 = V632099. assign V196924 = V664838 - 1. assign V305431 = V475154 + 1. assign V111651 = V314937 + 1. assign V029950 = V393923. assign V663814 = V399710 + 1. assign V992087 = V071625 + 1. assign V206612 = V355963. assign V688926 = V624897. assign V133086 = V903363. assign V495416 = V167591 + 1. assign V950378 = V893140 - 1. assign V275036 = V256179 - 1. assign V808307 = V590485. assign V811905 = V188435 + 1. assign V068166 = V039552. assign V060302 = V095965 - 1. assign V490306 = V406958 - 1. assign V825009 = V339264. assign V768424 = V633908 - 1. assign V426065 = V288117. assign V116567 = V767340. assign V828311 = V879505. assign V131924 = V097413 - 1. assign V438509 = V559662 + 1. assign V710355 = V095965 + 1. assign V451360 = V243595. assign V269117 = V720081. assign V199886 = V137408. assign V330123 = V451172. assign V679977 = V243595 - 1. assign V418704 = V384649 - 1. assign V026124 = V704238 - 1. assign V430012 = V907661 - 1. assign V266424 = V490306. assign V200907 = V706951 + 1. assign V265435 = V266424. assign V156596 = V570498 + 1. assign V141183 = V633908 + 1. assign V836310 = V808307. assign V157030 = V984303 + 1. assign V767297 = V578458. assign V277674 = V038262 - 1. assign V881134 = V589654. assign V015407 = V610245 - 1. assign V589654 = V768424 + 1. assign V518850 = V452161 + 1. assign V396365 = V664801 - 1. assign V446855 = V656587. assign V421122 = V019014. assign V256179 = V706435 - 1. assign V573439 = V633908. assign V624897 = V071625 - 1. assign V834664 = V473728 + 1. assign V366932 = V919465. assign V871535 = V369210 + 1. assign V187122 = V664838. assign V975912 = V624897. assign V684515 = V776737 + 1. assign V037712 = V573439 - 1. assign V726619 = V025693. assign V538884 = V589654 + 1. assign V038262 = V393923 - 1. assign V145467 = V037712 - 1. assign V384649 = V039552. assign V364757 = V299352. assign V213045 = V017676. assign V666296 = V137408 - 1. assign V598292 = V082785. assign V506301 = V968481 + 1. assign V718974 = V927304. assign V025027 = V167591 + 1. assign V244761 = V399710 - 1. assign V610245 = V898163. assign V969423 = V984303. assign V788664 = V632099 + 1. assign V687517 = V925802. assign V197869 = V258504. assign V893140 = V188435 - 1. assign V543429 = V799812 + 1. assign V796600 = V339264. assign V761618 = V399710 - 1. assign V796734 = V518850. assign V021153 = V057783 + 1. assign V877333 = V264403. assign V341420 = V265435. assign V597486 = V898747 - 1. assign V049276 = V518763. assign V217702 = V828035 + 1. assign V443938 = V900291 - 1. assign V559662 = V597486. assign V846744 = V666296 + 1. assign V144056 = V716847 - 1. assign V769452 = V137408 + 1. assign V231656 = V049276 - 1. assign V828035 = V581695 + 1. assign V006288 = V107844 - 1. assign V188435 = V473728. assign V984303 = V283929 - 1. assign V049927 = V664801 + 1. assign V018338 = V381133. assign V725419 = V619011. assign V293135 = V879505 + 1. assign V899309 = V199886 - 1. assign V359759 = V908843. assign V045603 = V025693 + 1. assign V664801 = V495416. assign V653229 = V720081 - 1. assign V980049 = V283929 - 1. assign V168707 = V193900 - 1. assign V531571 = V664801 - 1. assign V345930 = V393923 + 1. assign V522973 = V005767 + 1. assign V328822 = V679977 + 1. assign V990038 = V451172 + 1. assign V569040 = V243595 + 1. assign V148326 = V573439. assign V279787 = V615468. assign V003478 = V095965 - 1. assign V887291 = V898163 + 1. assign V422306 = V402898. assign V503762 = V040620. assign V619341 = V356594 + 1. assign V895825 = V925802 - 1. assign V399710 = V632099. assign V451172 = V283929 - 1. assign V249486 = V633908. assign V765944 = V330123 + 1. assign V325700 = V610245 + 1. assign V137408 = V283929 - 1. assign V564600 = V231656 - 1. assign V336952 = V984303 - 1. assign V351405 = V542294 + 1. assign V995790 = V929767 + 1. assign V005767 = V353375 + 1. assign V078260 = V968481. assign V633101 = V776737 + 1. assign V223814 = V693735. assign V112184 = V925802 - 1. assign V025693 = V559662. assign V215487 = V137408 - 1. assign V819873 = V265435. assign V877918 = V243595. assign V450069 = V436143. assign V656056 = V550647 + 1. assign V222538 = V980049 + 1. assign V355963 = V550647. assign V353375 = V243595 + 1. assign V664391 = V878002 - 1. assign V925802 = V059450 - 1. assign V105782 = V564600. assign V908843 = V400739 - 1. assign V308828 = V265435. assign V596167 = V549054 - 1. assign V436916 = V452161. assign V258504 = V473728 + 1. assign V581695 = V698910. assign V907661 = V078260 + 1. assign V259889 = V919465. assign V071625 = V188435 - 1. assign V767340 = V880791. assign V361395 = V624897. assign V053467 = V048193 - 1. assign V164594 = V059450 - 1. assign V393923 = V688326 - 1. assign V765107 = V927304 + 1. assign V664838 = V436175 + 1. assign V999431 = V356594. assign V977695 = V452161. assign V880791 = V059450 + 1. assign V073679 = V585455 - 1. assign V055110 = V369210 - 1. assign V585166 = V082785 + 1. assign V590485 = V903363. assign V690911 = V259889 - 1. assign V090161 = V222538 + 1. assign V040620 = V038262 + 1. assign V897073 = V314937. assign V949457 = V898163. assign V764330 = V137408 + 1. assign V705165 = V097413 + 1. assign V070913 = V880791 + 1. assign V688326 = V283929. assign V329462 = V393923 + 1. assign V473728 = V688326. assign V314937 = V596559 - 1. assign V680279 = V878002 + 1. assign V119015 = V551987 - 1. assign V511660 = V258904 - 1. assign V263828 = V343287. assign V218786 = V761618. assign V968481 = 5. assign V518763 = V688326 - 1. assign V900291 = V353823. assign V235546 = V345930. assign V436143 = V314937 - 1. assign V718667 = V356594. assign V146936 = V905950 + 1. assign V360333 = V070913 - 1. assign V739569 = V998774. assign V735413 = V726619 + 1. assign V898163 = V575617 + 1. assign V799812 = V877918 - 1. assign V716847 = V243595. assign V423051 = V188435. assign V706175 = V598292 + 1. assign V213507 = V188435 + 1. assign V017676 = V688926 + 1. assign V276174 = V589654 - 1. assign V247674 = V880791 + 1. assign V974036 = V761618. assign V878002 = V025027. assign V863892 = V095965 + 1. assign V668419 = V999431 - 1. assign V582501 = V111651 + 1. assign V550647 = V038262 + 1. assign V632099 = V243595. assign V638661 = V550647 - 1. assign V300903 = V761618. assign V095620 = V811905 + 1. assign V122044 = V551987. assign V575617 = V199886. assign V190522 = V048323. assign V055282 = V589654 + 1. assign V934842 = V079291. assign V784447 = V506301 + 1. assign V929767 = V393923. assign V720081 = V585455 - 1. assign V549054 = V688926.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V436175 = V550647 - 1. assign V019014 = V259889. assign V776737 = V550647. assign V234474 = V451172. assign V903363 = V559662. assign V706435 = V188435. assign V107844 = V423051 - 1. assign V201496 = V231656. assign V406958 = V436143 + 1. assign V369580 = V467153 - 1. assign V661238 = V825009 + 1. assign V458218 = V450069. assign V389565 = V619011 - 1. assign V542294 = V231656. assign V022845 = V065007 - 1. assign V840228 = V381133. assign V084975 = V017676 - 1. assign V596559 = V188435 + 1. assign V745567 = V388726 + 1. assign V257454 = V522973 - 1. assign V927304 = V283929. assign V410424 = V314937 + 1. assign V894812 = V070913. assign V729163 = V596167 - 1. assign V551987 = V193900 - 1. assign V595358 = V720081 + 1. assign V057783 = V656056 - 1. assign V082785 = V898747 + 1. assign V112222 = V263828 - 1. assign V496768 = V167591 + 1. assign V186425 = V624897 - 1. assign V264403 = V452161 - 1. assign V431361 = V898747 + 1. assign V039552 = V597486 + 1. assign V675203 = V808307 + 1. assign V706951 = V905950. assign V992311 = V055282. assign V808228 = V048193 + 1. assign V216434 = V458218 - 1. assign V044513 = V329462 + 1. assign V919465 = V343287 + 1. assign V615468 = V811905. assign V793414 = V559662 + 1. assign V229711 = V905950 + 1. assign V578458 = V496768 - 1. assign V452161 = V003478. assign V230315 = V112222 + 1. assign V693735 = V543429 + 1. assign V160018 = V761618 + 1. assign V288117 = V293135 + 1. assign V527702 = V710355. assign V704238 = V907661 - 1. assign V898747 = V188435. assign V370909 = V995790 - 1. assign V631538 = V341420 - 1. assign V879505 = V400739 + 1. assign V343287 = V578458. assign V353823 = V299352 + 1. assign V864637 = V355963 + 1. assign V638228 = V881134 + 1. assign V098299 = V585455 - 1. assign V095965 = V496768 - 1. assign V318913 = V242502 - 1. assign V059450 = V243595. assign V585455 = V575617. assign V905950 = V025027 + 1. assign V402898 = V073679 - 1. assign V942833 = V351405. assign V167591 = V633908 + 1. assign V921516 = V893140 - 1. assign V879690 = V060302 + 1. assign V339264 = V496768 - 1. assign V242502 = V619011. assign V865639 = V095620 - 1. assign V375813 = V369580 + 1. assign V475154 = V846744 - 1. assign V221661 = V998774 - 1. assign V366211 = V038262 + 1. assign V589434 = V597486 - 1. assign V193900 = V768424 + 1. assign V045739 = V141183 + 1. assign V258904 = V059450 + 1. assign V698910 = V160018 - 1. assign V520187 = V351405 + 1. assign V622660 = V431361 + 1. assign V467153 = V573439. assign V774808 = V590485 - 1. assign V243595 = V688326 + 1. assign V097413 = V060302 + 1. assign V742857 = V393923 - 1. assign V084829 = V632099 - 1. assign V620037 = V880791 + 1. assign V388726 = V055282. assign V739867 = V992311 - 1. assign V656587 = V690911 - 1. assign V299352 = V619011 - 1. assign V369210 = V878002 - 1. assign V826410 = V038262 - 1. assign V054760 = V017676. assign V555425 = V055110 - 1. assign V647328 = V137408 - 1. assign V818937 = V200907 - 1. assign V048193 = V880791. assign V820321 = V550647. assign V570498 = V059450 - 1. assign V291440 = V299352. assign V400739 = V877918 - 1. assign V065007 = V688326 + 1. assign V632214 = V157030 + 1. assign V356594 = V898747 - 1. assign V633908 = V283929 - 1. assign V381133 = V878002. assign V002938 = V575617. assign V660658 = V575617 - 1. assign V079291 = V506301 + 1. assign V486598 = V828311 + 1. assign V896836 = V739569 - 1. assign V429963 = V137408 + 1. assign V998774 = V038262. assign V674189 = V003478 + 1. assign V619011 = V193900 + 1. assign V901071 = V186425 - 1. assign V048323 = V632099. assign V196924 = V664838 - 1. assign V305431 = V475154 + 1. assign V111651 = V314937 + 1. assign V029950 = V393923. assign V663814 = V399710 + 1. assign V992087 = V071625 + 1. assign V206612 = V355963. assign V688926 = V624897. assign V133086 = V903363. assign V495416 = V167591 + 1. assign V950378 = V893140 - 1. assign V275036 = V256179 - 1. assign V808307 = V590485. assign V811905 = V188435 + 1. assign V068166 = V039552. assign V060302 = V095965 - 1. assign V490306 = V406958 - 1. assign V825009 = V339264. assign V768424 = V633908 - 1. assign V426065 = V288117. assign V116567 = V767340. assign V828311 = V879505. assign V131924 = V097413 - 1. assign V438509 = V559662 + 1. assign V710355 = V095965 + 1. assign V451360 = V243595. assign V269117 = V720081. assign V199886 = V137408. assign V330123 = V451172. assign V679977 = V243595 - 1. assign V418704 = V384649 - 1. assign V026124 = V704238 - 1. assign V430012 = V907661 - 1. assign V266424 = V490306. assign V200907 = V706951 + 1. assign V265435 = V266424. assign V156596 = V570498 + 1. assign V141183 = V633908 + 1. assign V836310 = V808307. assign V157030 = V984303 + 1. assign V767297 = V578458. assign V277674 = V038262 - 1. assign V881134 = V589654. assign V015407 = V610245 - 1. assign V589654 = V768424 + 1. assign V518850 = V452161 + 1. assign V396365 = V664801 - 1. assign V446855 = V656587. assign V421122 = V019014. assign V256179 = V706435 - 1. assign V573439 = V633908. assign V624897 = V071625 - 1. assign V834664 = V473728 + 1. assign V366932 = V919465. assign V871535 = V369210 + 1. assign V187122 = V664838. assign V975912 = V624897. assign V684515 = V776737 + 1. assign V037712 = V573439 - 1. assign V726619 = V025693. assign V538884 = V589654 + 1. assign V038262 = V393923 - 1. assign V145467 = V037712 - 1. assign V384649 = V039552. assign V364757 = V299352. assign V213045 = V017676. assign V666296 = V137408 - 1. assign V598292 = V082785. assign V506301 = V968481 + 1. assign V718974 = V927304. assign V025027 = V167591 + 1. assign V244761 = V399710 - 1. assign V610245 = V898163. assign V969423 = V984303. assign V788664 = V632099 + 1. assign V687517 = V925802. assign V197869 = V258504. assign V893140 = V188435 - 1. assign V543429 = V799812 + 1. assign V796600 = V339264. assign V761618 = V399710 - 1. assign V796734 = V518850. assign V021153 = V057783 + 1. assign V877333 = V264403. assign V341420 = V265435. assign V597486 = V898747 - 1. assign V049276 = V518763. assign V217702 = V828035 + 1. assign V443938 = V900291 - 1. assign V559662 = V597486. assign V846744 = V666296 + 1. assign V144056 = V716847 - 1. assign V769452 = V137408 + 1. assign V231656 = V049276 - 1. assign V828035 = V581695 + 1. assign V006288 = V107844 - 1. assign V188435 = V473728. assign V984303 = V283929 - 1. assign V049927 = V664801 + 1. assign V018338 = V381133. assign V725419 = V619011. assign V293135 = V879505 + 1. assign V899309 = V199886 - 1. assign V359759 = V908843. assign V045603 = V025693 + 1. assign V664801 = V495416. assign V653229 = V720081 - 1. assign V980049 = V283929 - 1. assign V168707 = V193900 - 1. assign V531571 = V664801 - 1. assign V345930 = V393923 + 1. assign V522973 = V005767 + 1. assign V328822 = V679977 + 1. assign V990038 = V451172 + 1. assign V569040 = V243595 + 1. assign V148326 = V573439. assign V279787 = V615468. assign V003478 = V095965 - 1. assign V887291 = V898163 + 1. assign V422306 = V402898. assign V503762 = V040620. assign V619341 = V356594 + 1. assign V895825 = V925802 - 1. assign V399710 = V632099. assign V451172 = V283929 - 1. assign V249486 = V633908. assign V765944 = V330123 + 1. assign V325700 = V610245 + 1. assign V137408 = V283929 - 1. assign V564600 = V231656 - 1. assign V336952 = V984303 - 1. assign V351405 = V542294 + 1. assign V995790 = V929767 + 1. assign V005767 = V353375 + 1. assign V078260 = V968481. assign V633101 = V776737 + 1. assign V223814 = V693735. assign V112184 = V925802 - 1. assign V025693 = V559662. assign V215487 = V137408 - 1. assign V819873 = V265435. assign V877918 = V243595. assign V450069 = V436143. assign V656056 = V550647 + 1. assign V222538 = V980049 + 1. assign V355963 = V550647. assign V353375 = V243595 + 1. assign V664391 = V878002 - 1. assign V925802 = V059450 - 1. assign V105782 = V564600. assign V908843 = V400739 - 1. assign V308828 = V265435. assign V596167 = V549054 - 1. assign V436916 = V452161. assign V258504 = V473728 + 1. assign V581695 = V698910. assign V907661 = V078260 + 1. assign V259889 = V919465. assign V071625 = V188435 - 1. assign V767340 = V880791. assign V361395 = V624897. assign V053467 = V048193 - 1. assign V164594 = V059450 - 1. assign V393923 = V688326 - 1. assign V765107 = V927304 + 1. assign V664838 = V436175 + 1. assign V999431 = V356594. assign V977695 = V452161. assign V880791 = V059450 + 1. assign V073679 = V585455 - 1. assign V055110 = V369210 - 1. assign V585166 = V082785 + 1. assign V590485 = V903363. assign V690911 = V259889 - 1. assign V090161 = V222538 + 1. assign V040620 = V038262 + 1. assign V897073 = V314937. assign V949457 = V898163. assign V764330 = V137408 + 1. assign V705165 = V097413 + 1. assign V070913 = V880791 + 1. assign V688326 = V283929. assign V329462 = V393923 + 1. assign V473728 = V688326. assign V314937 = V596559 - 1. assign V680279 = V878002 + 1. assign V119015 = V551987 - 1. assign V511660 = V258904 - 1. assign V263828 = V343287. assign V218786 = V761618. assign V968481 = 5. assign V518763 = V688326 - 1. assign V900291 = V353823. assign V235546 = V345930. assign V436143 = V314937 - 1. assign V718667 = V356594. assign V146936 = V905950 + 1. assign V360333 = V070913 - 1. assign V739569 = V998774. assign V735413 = V726619 + 1. assign V898163 = V575617 + 1. assign V799812 = V877918 - 1. assign V716847 = V243595. assign V423051 = V188435. assign V706175 = V598292 + 1. assign V213507 = V188435 + 1. assign V017676 = V688926 + 1. assign V276174 = V589654 - 1. assign V247674 = V880791 + 1. assign V974036 = V761618. assign V878002 = V025027. assign V863892 = V095965 + 1. assign V668419 = V999431 - 1. assign V582501 = V111651 + 1. assign V550647 = V038262 + 1. assign V632099 = V243595. assign V638661 = V550647 - 1. assign V300903 = V761618. assign V095620 = V811905 + 1. assign V122044 = V551987. assign V575617 = V199886. assign V190522 = V048323. assign V055282 = V589654 + 1. assign V934842 = V079291. assign V784447 = V506301 + 1. assign V929767 = V393923. assign V720081 = V585455 - 1. assign V549054 = V688926.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV968481 = 5;\n\nFrom these direct assignment(s), we have: \nV078260 = V968481 = 5;\nV907661 = V078260 + 1 = 5 + 1 =6;\nV430012 = V907661 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V430012;\nV704238 = V907661 - 1 = 6 - 1 =5;\nV026124 = V704238 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V026124;\nNo other varaibles can be derived from V704238;\nNo other varaibles can be derived from V907661;\nNo other varaibles can be derived from V078260;\nV506301 = V968481 + 1 = 5 + 1 =6;\nV784447 = V506301 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V784447;\nV079291 = V506301 + 1 = 6 + 1 =7;\nV934842 = V079291 = 7;\nNo other varaibles can be derived from V934842;\nNo other varaibles can be derived from V079291;\nNo other varaibles can be derived from V506301;\nNo other varaibles can be derived from V968481;\n\nNow we have done all the calculations. Derived variables are:\nV968481 = 5;\nV078260 = 5;\nV907661 = 6;\nV430012 = 5;\nV704238 = 5;\nV026124 = 4;\nV506301 = 6;\nV784447 = 7;\nV079291 = 7;\nV934842 = 7;\n\nNow we have finished this problem. ANSWER:\nV968481, V078260, V430012, V704238\n", "role": "assistant" } ]

[ "V247539", "V093259", "V268811", "V861288", "V381784", "V049453" ]

[ { "content": "<context>\nassign V086101 = V386368. assign V423951 = V066125 - 1. assign V104941 = V790788. assign V258836 = V105971 + 1. assign V407704 = V248669. assign V195118 = V549151 + 1. assign V286960 = V569208 - 1. assign V626294 = V281342 - 1. assign V017723 = V426471 + 1. assign V889777 = V253255 - 1. assign V561942 = V194015 + 1. assign V944020 = V562475 + 1. assign V242986 = V605025. assign V952234 = V977314 + 1. assign V459779 = V506452 - 1. assign V154286 = V076335 - 1. assign V661553 = V228069. assign V384535 = V543082 - 1. assign V105971 = V550408 + 1. assign V743574 = V919208. assign V948460 = V790788 - 1. assign V057049 = V575425 - 1. assign V449132 = V719720 + 1. assign V644730 = V478862. assign V026285 = V803229 + 1. assign V762824 = V164683. assign V113554 = V616798 - 1. assign V053654 = V704302 + 1. assign V029720 = V874152 - 1. assign V543082 = V131268. assign V074927 = V743574 - 1. assign V298413 = V561942 + 1. assign V659319 = V164683 - 1. assign V803865 = V164683 + 1. assign V291674 = V089366. assign V990652 = V114333 + 1. assign V513647 = V138238 - 1. assign V378451 = V450136 - 1. assign V930227 = V183551 + 1. assign V376633 = V802924 + 1. assign V020130 = V205749 + 1. assign V547050 = V659319 + 1. assign V757452 = V639709 + 1. assign V138238 = V661173 + 1. assign V900724 = V057049. assign V514076 = V543741. assign V526403 = V977314 + 1. assign V521175 = V894671 - 1. assign V050872 = V319204. assign V426471 = V998601. assign V443207 = V562090 - 1. assign V857316 = V205749. assign V121452 = V960796. assign V836690 = V324967 - 1. assign V935619 = V066125 + 1. assign V575425 = V977314 + 1. assign V453420 = V031195 + 1. assign V247539 = 4. assign V620655 = V703160. assign V950603 = V208048 + 1. assign V677187 = V138238 - 1. assign V728011 = V703890 - 1. assign V478862 = V977314 - 1. assign V580788 = V138658. assign V347958 = V199492 - 1. assign V480744 = V731106. assign V930082 = V314451 - 1. assign V319204 = V402120. assign V881888 = V562090. assign V437841 = V589084. assign V977259 = V562475 + 1. assign V919208 = V987443. assign V494304 = V437841 + 1. assign V093259 = V247539. assign V256972 = V590022. assign V314451 = V510053. assign V268811 = V210736 - 1. assign V894671 = V453420 - 1. assign V562090 = V774980. assign V028846 = V550408 + 1. assign V143504 = V661553. assign V174899 = V987443 + 1. assign V616798 = V402120. assign V321877 = V952234. assign V383066 = V550408 - 1. assign V271517 = V321877 + 1. assign V131268 = V905390 - 1. assign V249883 = V761483. assign V543741 = V518277. assign V855606 = V076335 + 1. assign V259051 = V337137 + 1. assign V927878 = V706241 + 1. assign V745265 = V605025 + 1. assign V184503 = V661173 - 1. assign V668810 = V017723 - 1. assign V596989 = V639709 - 1. assign V005720 = V991390 + 1. assign V021772 = V948595. assign V956135 = V522574. assign V486996 = V243101 - 1. assign V646279 = V838472 + 1. assign V024062 = V891311. assign V774980 = V131268. assign V550408 = V905390 - 1. assign V665840 = V703890 - 1. assign V639709 = V703890. assign V802100 = V960796 + 1. assign V148883 = V803865 + 1. assign V405248 = V998601. assign V665096 = V550408. assign V285035 = V591663 - 1. assign V522574 = V208048 - 1. assign V886188 = V505936 + 1. assign V164683 = V661173 - 1. assign V952960 = V267362 - 1. assign V787155 = V898007. assign V228069 = V089366 - 1. assign V030064 = V267362 - 1. assign V032663 = V183551 + 1. assign V790788 = V865859. assign V248920 = V832811. assign V590022 = V105668 - 1. assign V352856 = V150212. assign V547345 = V067989. assign V371406 = V324967 - 1. assign V881681 = V594970 - 1. assign V979019 = V769523 + 1. assign V089366 = V057049. assign V717158 = V510053. assign V894389 = V208048 + 1. assign V120068 = V935619 - 1. assign V719720 = V324967 - 1. assign V353436 = V131268 - 1. assign V796207 = V766002 - 1. assign V413519 = V067989. assign V076335 = V078591 + 1. assign V710634 = V617461 + 1. assign V163954 = V031195 + 1. assign V955700 = V579225 - 1. assign V745311 = V155598 + 1. assign V784980 = V215771. assign V396799 = V487632 + 1. assign V820175 = V331531 + 1. assign V874152 = V930082 - 1. assign V474726 = V605025 + 1. assign V717451 = V089366 - 1. assign V787579 = V746076. assign V042989 = V506452 + 1. assign V178020 = V174899 - 1. assign V562475 = V253255 + 1. assign V703160 = V131268 - 1. assign V703890 = V478862 + 1. assign V795369 = V340148 + 1. assign V199492 = V701138 + 1. assign V446462 = V766002 + 1. assign V085837 = V513647 - 1. assign V225028 = V028846 - 1. assign V343349 = V560889 - 1. assign V022433 = V704302 - 1. assign V420691 = V319204 - 1. assign V124461 = V194015. assign V891311 = V253255. assign V482450 = V446462. assign V731106 = V677187 + 1. assign V613230 = V089366 - 1. assign V003054 = V478862 - 1. assign V729963 = V575425 + 1. assign V852065 = V091401 + 1. assign V340148 = V889777 + 1. assign V987443 = V787579 + 1. assign V017405 = V703160 - 1. assign V381784 = V247539. assign V178627 = V745265 - 1. assign V315282 = V746076. assign V549151 = V208048 - 1. assign V803229 = V704302. assign V863103 = V089366 - 1. assign V349303 = V613230 - 1. assign V506452 = V131268 + 1. assign V727867 = V078591 - 1. assign V563757 = V863103 + 1. assign V210724 = V711092 - 1. assign V049453 = V767295 - 1. assign V045211 = V998601. assign V664984 = V977314. assign V617461 = V888020 - 1. assign V410596 = V703160 + 1. assign V610849 = V977314 + 1. assign V087824 = V977259 - 1. assign V510053 = V478862 - 1. assign V757163 = V905390 + 1. assign V248669 = V089366 - 1. assign V364448 = V022433 + 1. assign V113307 = V888020. assign V689052 = V489229 + 1. assign V765276 = V000715 - 1. assign V888020 = V510053 + 1. assign V948595 = V671143 - 1. assign V739187 = V459779 + 1. assign V519562 = V521175. assign V589084 = V114333 + 1. assign V324967 = V478862 - 1. assign V802924 = V324967 + 1. assign V480039 = V865859 + 1. assign V714835 = V463944 + 1. assign V200766 = V364448 - 1. assign V067440 = V450014 + 1. assign V382118 = V407704. assign V829469 = V450014 - 1. assign V489229 = V889777 - 1. assign V367261 = V291674. assign V091401 = V453420 + 1. assign V337137 = V367261. assign V031793 = V930082 - 1. assign V463944 = V889777. assign V487632 = V483140 + 1. assign V635859 = V020130 + 1. assign V797359 = V905474. assign V151592 = V093259 - 1. assign V746076 = V665840 - 1. assign V179517 = V183551 + 1. assign V960796 = V291674 - 1. assign V281342 = V291674 - 1. assign V693234 = V605025. assign V998601 = V057049 + 1. assign V505936 = V324967. assign V569208 = V057049 + 1. assign V842304 = V194015. assign V124819 = V927878 + 1. assign V120351 = V386368. assign V741571 = V114333 - 1. assign V178507 = V562475 - 1. assign V723511 = V353436. assign V939601 = V706241. assign V741041 = V889777. assign V483140 = V089366 + 1. assign V805618 = V506452. assign V270438 = V331531 + 1. assign V586615 = V253255. assign V208048 = V324967 - 1. assign V865859 = V478862 - 1. assign V419742 = V450136 - 1. assign V699533 = V729963. assign V215771 = V437841 - 1. assign V589598 = V449132 - 1. assign V315698 = V478862 - 1. assign V183551 = V746076 + 1. assign V591663 = V340148 - 1. assign V194015 = V089366. assign V861288 = V093259. assign V446758 = V832811 + 1. assign V953428 = V980750 + 1. assign V011551 = V208048 - 1. assign V766002 = V148883. assign V704302 = V138238 + 1. assign V155313 = V002038 + 1. assign V358766 = V565033 - 1. assign V114333 = V802924. assign V859110 = V518277. assign V087111 = V610849 - 1. assign V701138 = V437841. assign V450136 = V613230 + 1. assign V243101 = V728011 - 1. assign V790753 = V286960 + 1. assign V402120 = V550408. assign V608629 = V942707 - 1. assign V751781 = V478862. assign V443461 = V031195. assign V942707 = V888020 - 1. assign V778509 = V543741. assign V253255 = V550408 + 1. assign V185610 = V319204. assign V000715 = V956135 + 1. assign V823287 = V402120 + 1. assign V671143 = V751781 + 1. assign V913213 = V703160 - 1. assign V661173 = V665840 - 1. assign V644949 = V589598 - 1. assign V006132 = V450136 - 1. assign V138658 = V664984. assign V973975 = V990652 - 1. assign V774976 = V453420. assign V210736 = V247539 + 1. assign V640293 = V178507. assign V931433 = V741571 + 1. assign V018612 = V420691 + 1. assign V911173 = V352856 + 1. assign V746846 = V518277 - 1. assign V023584 = V991390 - 1. assign V579225 = V757452 + 1. assign V120234 = V569208 + 1. assign V793974 = V164683 - 1. assign V644204 = V248669 + 1. assign V560889 = V874152 - 1. assign V105668 = V453420. assign V890817 = V905390 + 1. assign V980750 = V952234. assign V393114 = V210736 + 1. assign V503085 = V243101. assign V371401 = V610849. assign V433650 = V699533. assign V769523 = V228069. assign V518277 = V386368 - 1. assign V390929 = V423951 + 1. assign V358594 = V521835. assign V991390 = V703890. assign V267362 = V706241 + 1. assign V594970 = V254544 - 1. assign V300542 = V215771 - 1. assign V450014 = V506452 - 1. assign V565033 = V913213. assign V706241 = V478862. assign V031195 = V665840 + 1. assign V453112 = V105668 + 1. assign V267787 = V011551 + 1. assign V201400 = V076335. assign V002038 = V459779 + 1. assign V780270 = V270438. assign V615640 = V256228 + 1. assign V974025 = V487632 - 1. assign V150212 = V078591 + 1. assign V751894 = V315282 - 1. assign V192106 = V977314 - 1. assign V898007 = V057049. assign V386368 = V031195 + 1. assign V711092 = V030064 + 1. assign V147498 = V769523 + 1. assign V895137 = V987443 + 1. assign V767295 = V247539 + 1. assign V256228 = V254544 - 1. assign V339192 = V900724 + 1. assign V426181 = V743574. assign V515112 = V383066 + 1. assign V605025 = V977314 + 1. assign V078591 = V510053. assign V832811 = V208048 + 1. assign V761483 = V927878 + 1. assign V838472 = V802924 + 1. assign V455492 = V449132 + 1. assign V521835 = V930082 + 1. assign V905390 = V703890 - 1. assign V254544 = V787579 + 1. assign V240760 = V463944. assign V399901 = V930227 + 1. assign V905474 = V881888 + 1. assign V155598 = V661553 + 1. assign V205749 = V894389 + 1. assign V331531 = V977314 + 1. assign V067989 = V371406 - 1. assign V066125 = V575425. assign V571758 = V023584.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V086101 = V386368. assign V423951 = V066125 - 1. assign V104941 = V790788. assign V258836 = V105971 + 1. assign V407704 = V248669. assign V195118 = V549151 + 1. assign V286960 = V569208 - 1. assign V626294 = V281342 - 1. assign V017723 = V426471 + 1. assign V889777 = V253255 - 1. assign V561942 = V194015 + 1. assign V944020 = V562475 + 1. assign V242986 = V605025. assign V952234 = V977314 + 1. assign V459779 = V506452 - 1. assign V154286 = V076335 - 1. assign V661553 = V228069. assign V384535 = V543082 - 1. assign V105971 = V550408 + 1. assign V743574 = V919208. assign V948460 = V790788 - 1. assign V057049 = V575425 - 1. assign V449132 = V719720 + 1. assign V644730 = V478862. assign V026285 = V803229 + 1. assign V762824 = V164683. assign V113554 = V616798 - 1. assign V053654 = V704302 + 1. assign V029720 = V874152 - 1. assign V543082 = V131268. assign V074927 = V743574 - 1. assign V298413 = V561942 + 1. assign V659319 = V164683 - 1. assign V803865 = V164683 + 1. assign V291674 = V089366. assign V990652 = V114333 + 1. assign V513647 = V138238 - 1. assign V378451 = V450136 - 1. assign V930227 = V183551 + 1. assign V376633 = V802924 + 1. assign V020130 = V205749 + 1. assign V547050 = V659319 + 1. assign V757452 = V639709 + 1. assign V138238 = V661173 + 1. assign V900724 = V057049. assign V514076 = V543741. assign V526403 = V977314 + 1. assign V521175 = V894671 - 1. assign V050872 = V319204. assign V426471 = V998601. assign V443207 = V562090 - 1. assign V857316 = V205749. assign V121452 = V960796. assign V836690 = V324967 - 1. assign V935619 = V066125 + 1. assign V575425 = V977314 + 1. assign V453420 = V031195 + 1. assign V247539 = 4. assign V620655 = V703160. assign V950603 = V208048 + 1. assign V677187 = V138238 - 1. assign V728011 = V703890 - 1. assign V478862 = V977314 - 1. assign V580788 = V138658. assign V347958 = V199492 - 1. assign V480744 = V731106. assign V930082 = V314451 - 1. assign V319204 = V402120. assign V881888 = V562090. assign V437841 = V589084. assign V977259 = V562475 + 1. assign V919208 = V987443. assign V494304 = V437841 + 1. assign V093259 = V247539. assign V256972 = V590022. assign V314451 = V510053. assign V268811 = V210736 - 1. assign V894671 = V453420 - 1. assign V562090 = V774980. assign V028846 = V550408 + 1. assign V143504 = V661553. assign V174899 = V987443 + 1. assign V616798 = V402120. assign V321877 = V952234. assign V383066 = V550408 - 1. assign V271517 = V321877 + 1. assign V131268 = V905390 - 1. assign V249883 = V761483. assign V543741 = V518277. assign V855606 = V076335 + 1. assign V259051 = V337137 + 1. assign V927878 = V706241 + 1. assign V745265 = V605025 + 1. assign V184503 = V661173 - 1. assign V668810 = V017723 - 1. assign V596989 = V639709 - 1. assign V005720 = V991390 + 1. assign V021772 = V948595. assign V956135 = V522574. assign V486996 = V243101 - 1. assign V646279 = V838472 + 1. assign V024062 = V891311. assign V774980 = V131268. assign V550408 = V905390 - 1. assign V665840 = V703890 - 1. assign V639709 = V703890. assign V802100 = V960796 + 1. assign V148883 = V803865 + 1. assign V405248 = V998601. assign V665096 = V550408. assign V285035 = V591663 - 1. assign V522574 = V208048 - 1. assign V886188 = V505936 + 1. assign V164683 = V661173 - 1. assign V952960 = V267362 - 1. assign V787155 = V898007. assign V228069 = V089366 - 1. assign V030064 = V267362 - 1. assign V032663 = V183551 + 1. assign V790788 = V865859. assign V248920 = V832811. assign V590022 = V105668 - 1. assign V352856 = V150212. assign V547345 = V067989. assign V371406 = V324967 - 1. assign V881681 = V594970 - 1. assign V979019 = V769523 + 1. assign V089366 = V057049. assign V717158 = V510053. assign V894389 = V208048 + 1. assign V120068 = V935619 - 1. assign V719720 = V324967 - 1. assign V353436 = V131268 - 1. assign V796207 = V766002 - 1. assign V413519 = V067989. assign V076335 = V078591 + 1. assign V710634 = V617461 + 1. assign V163954 = V031195 + 1. assign V955700 = V579225 - 1. assign V745311 = V155598 + 1. assign V784980 = V215771. assign V396799 = V487632 + 1. assign V820175 = V331531 + 1. assign V874152 = V930082 - 1. assign V474726 = V605025 + 1. assign V717451 = V089366 - 1. assign V787579 = V746076. assign V042989 = V506452 + 1. assign V178020 = V174899 - 1. assign V562475 = V253255 + 1. assign V703160 = V131268 - 1. assign V703890 = V478862 + 1. assign V795369 = V340148 + 1. assign V199492 = V701138 + 1. assign V446462 = V766002 + 1. assign V085837 = V513647 - 1. assign V225028 = V028846 - 1. assign V343349 = V560889 - 1. assign V022433 = V704302 - 1. assign V420691 = V319204 - 1. assign V124461 = V194015. assign V891311 = V253255. assign V482450 = V446462. assign V731106 = V677187 + 1. assign V613230 = V089366 - 1. assign V003054 = V478862 - 1. assign V729963 = V575425 + 1. assign V852065 = V091401 + 1. assign V340148 = V889777 + 1. assign V987443 = V787579 + 1. assign V017405 = V703160 - 1. assign V381784 = V247539. assign V178627 = V745265 - 1. assign V315282 = V746076. assign V549151 = V208048 - 1. assign V803229 = V704302. assign V863103 = V089366 - 1. assign V349303 = V613230 - 1. assign V506452 = V131268 + 1. assign V727867 = V078591 - 1. assign V563757 = V863103 + 1. assign V210724 = V711092 - 1. assign V049453 = V767295 - 1. assign V045211 = V998601. assign V664984 = V977314. assign V617461 = V888020 - 1. assign V410596 = V703160 + 1. assign V610849 = V977314 + 1. assign V087824 = V977259 - 1. assign V510053 = V478862 - 1. assign V757163 = V905390 + 1. assign V248669 = V089366 - 1. assign V364448 = V022433 + 1. assign V113307 = V888020. assign V689052 = V489229 + 1. assign V765276 = V000715 - 1. assign V888020 = V510053 + 1. assign V948595 = V671143 - 1. assign V739187 = V459779 + 1. assign V519562 = V521175. assign V589084 = V114333 + 1. assign V324967 = V478862 - 1. assign V802924 = V324967 + 1. assign V480039 = V865859 + 1. assign V714835 = V463944 + 1. assign V200766 = V364448 - 1. assign V067440 = V450014 + 1. assign V382118 = V407704. assign V829469 = V450014 - 1. assign V489229 = V889777 - 1. assign V367261 = V291674. assign V091401 = V453420 + 1. assign V337137 = V367261. assign V031793 = V930082 - 1. assign V463944 = V889777. assign V487632 = V483140 + 1. assign V635859 = V020130 + 1. assign V797359 = V905474. assign V151592 = V093259 - 1. assign V746076 = V665840 - 1. assign V179517 = V183551 + 1. assign V960796 = V291674 - 1. assign V281342 = V291674 - 1. assign V693234 = V605025. assign V998601 = V057049 + 1. assign V505936 = V324967. assign V569208 = V057049 + 1. assign V842304 = V194015. assign V124819 = V927878 + 1. assign V120351 = V386368. assign V741571 = V114333 - 1. assign V178507 = V562475 - 1. assign V723511 = V353436. assign V939601 = V706241. assign V741041 = V889777. assign V483140 = V089366 + 1. assign V805618 = V506452. assign V270438 = V331531 + 1. assign V586615 = V253255. assign V208048 = V324967 - 1. assign V865859 = V478862 - 1. assign V419742 = V450136 - 1. assign V699533 = V729963. assign V215771 = V437841 - 1. assign V589598 = V449132 - 1. assign V315698 = V478862 - 1. assign V183551 = V746076 + 1. assign V591663 = V340148 - 1. assign V194015 = V089366. assign V861288 = V093259. assign V446758 = V832811 + 1. assign V953428 = V980750 + 1. assign V011551 = V208048 - 1. assign V766002 = V148883. assign V704302 = V138238 + 1. assign V155313 = V002038 + 1. assign V358766 = V565033 - 1. assign V114333 = V802924. assign V859110 = V518277. assign V087111 = V610849 - 1. assign V701138 = V437841. assign V450136 = V613230 + 1. assign V243101 = V728011 - 1. assign V790753 = V286960 + 1. assign V402120 = V550408. assign V608629 = V942707 - 1. assign V751781 = V478862. assign V443461 = V031195. assign V942707 = V888020 - 1. assign V778509 = V543741. assign V253255 = V550408 + 1. assign V185610 = V319204. assign V000715 = V956135 + 1. assign V823287 = V402120 + 1. assign V671143 = V751781 + 1. assign V913213 = V703160 - 1. assign V661173 = V665840 - 1. assign V644949 = V589598 - 1. assign V006132 = V450136 - 1. assign V138658 = V664984. assign V973975 = V990652 - 1. assign V774976 = V453420. assign V210736 = V247539 + 1. assign V640293 = V178507. assign V931433 = V741571 + 1. assign V018612 = V420691 + 1. assign V911173 = V352856 + 1. assign V746846 = V518277 - 1. assign V023584 = V991390 - 1. assign V579225 = V757452 + 1. assign V120234 = V569208 + 1. assign V793974 = V164683 - 1. assign V644204 = V248669 + 1. assign V560889 = V874152 - 1. assign V105668 = V453420. assign V890817 = V905390 + 1. assign V980750 = V952234. assign V393114 = V210736 + 1. assign V503085 = V243101. assign V371401 = V610849. assign V433650 = V699533. assign V769523 = V228069. assign V518277 = V386368 - 1. assign V390929 = V423951 + 1. assign V358594 = V521835. assign V991390 = V703890. assign V267362 = V706241 + 1. assign V594970 = V254544 - 1. assign V300542 = V215771 - 1. assign V450014 = V506452 - 1. assign V565033 = V913213. assign V706241 = V478862. assign V031195 = V665840 + 1. assign V453112 = V105668 + 1. assign V267787 = V011551 + 1. assign V201400 = V076335. assign V002038 = V459779 + 1. assign V780270 = V270438. assign V615640 = V256228 + 1. assign V974025 = V487632 - 1. assign V150212 = V078591 + 1. assign V751894 = V315282 - 1. assign V192106 = V977314 - 1. assign V898007 = V057049. assign V386368 = V031195 + 1. assign V711092 = V030064 + 1. assign V147498 = V769523 + 1. assign V895137 = V987443 + 1. assign V767295 = V247539 + 1. assign V256228 = V254544 - 1. assign V339192 = V900724 + 1. assign V426181 = V743574. assign V515112 = V383066 + 1. assign V605025 = V977314 + 1. assign V078591 = V510053. assign V832811 = V208048 + 1. assign V761483 = V927878 + 1. assign V838472 = V802924 + 1. assign V455492 = V449132 + 1. assign V521835 = V930082 + 1. assign V905390 = V703890 - 1. assign V254544 = V787579 + 1. assign V240760 = V463944. assign V399901 = V930227 + 1. assign V905474 = V881888 + 1. assign V155598 = V661553 + 1. assign V205749 = V894389 + 1. assign V331531 = V977314 + 1. assign V067989 = V371406 - 1. assign V066125 = V575425. assign V571758 = V023584.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV247539 = 4;\n\nFrom these direct assignment(s), we have: \nV767295 = V247539 + 1 = 4 + 1 =5;\nV049453 = V767295 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V049453;\nNo other varaibles can be derived from V767295;\nV210736 = V247539 + 1 = 4 + 1 =5;\nV393114 = V210736 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V393114;\nV268811 = V210736 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V268811;\nNo other varaibles can be derived from V210736;\nV381784 = V247539 = 4;\nNo other varaibles can be derived from V381784;\nV093259 = V247539 = 4;\nV861288 = V093259 = 4;\nNo other varaibles can be derived from V861288;\nV151592 = V093259 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V151592;\nNo other varaibles can be derived from V093259;\nNo other varaibles can be derived from V247539;\n\nNow we have done all the calculations. Derived variables are:\nV247539 = 4;\nV767295 = 5;\nV049453 = 4;\nV210736 = 5;\nV393114 = 6;\nV268811 = 4;\nV381784 = 4;\nV093259 = 4;\nV861288 = 4;\nV151592 = 3;\n\nNow we have finished this problem. ANSWER:\nV247539, V049453, V268811, V381784, V093259, V861288\n", "role": "assistant" } ]

[ "V788337", "V384931", "V057266", "V508791", "V099156" ]

[ { "content": "<context>\nassign V858668 = V538891. assign V612145 = V225572 + 1. assign V786210 = V837996 + 1. assign V205797 = V084092. assign V858620 = V033158 + 1. assign V743737 = V817607. assign V933756 = V643004 - 1. assign V035235 = V892542 + 1. assign V186844 = V657913 - 1. assign V672727 = V855737 + 1. assign V901655 = V025206. assign V664914 = V794605 - 1. assign V167928 = V844746 + 1. assign V909571 = V510500 - 1. assign V639514 = V034194 + 1. assign V063453 = V939303 - 1. assign V832916 = V329516. assign V644971 = V226734. assign V270724 = V055494 - 1. assign V188970 = V532811. assign V803770 = V731485 - 1. assign V339753 = V188970 + 1. assign V462180 = V214013. assign V228288 = V188970. assign V159914 = V021538 - 1. assign V302416 = V837996 + 1. assign V019863 = V814336 + 1. assign V780850 = V674561 + 1. assign V298190 = V472092. assign V634867 = V483121 - 1. assign V723985 = V273710. assign V671780 = V848564 + 1. assign V882820 = V576179. assign V776067 = V743212 - 1. assign V380683 = V338286 - 1. assign V345592 = V249166 - 1. assign V711311 = V483121. assign V716750 = V943480 + 1. assign V185833 = V016678. assign V625826 = V867718 - 1. assign V732185 = V576179 + 1. assign V416844 = V025206 + 1. assign V164572 = V625826. assign V377252 = V817188. assign V858540 = V825505. assign V277037 = V867718 + 1. assign V892542 = V801011 + 1. assign V592106 = V232881 - 1. assign V394975 = V296037 - 1. assign V472092 = V779199 + 1. assign V546537 = V331129 + 1. assign V971326 = V372487 + 1. assign V249166 = V262433. assign V997082 = V777076 - 1. assign V243481 = V293096 - 1. assign V262433 = V825505. assign V936971 = V019260 + 1. assign V751604 = V825001 + 1. assign V667313 = V731843. assign V196388 = V730321 - 1. assign V634501 = V178314 + 1. assign V431221 = V849289 + 1. assign V206936 = V228288. assign V467701 = V152681 + 1. assign V312718 = V429717 + 1. assign V893757 = V839471. assign V794839 = V676319 - 1. assign V235511 = V279272. assign V849289 = V272275. assign V558928 = V825001. assign V279272 = V072511 + 1. assign V728314 = V415428 - 1. assign V120934 = V903249 - 1. assign V125312 = V426177 + 1. assign V922255 = V021538 - 1. assign V457884 = V892542. assign V794605 = V272275. assign V359305 = V176789 + 1. assign V817188 = V510500. assign V315551 = V535868. assign V177130 = V207632 + 1. assign V040329 = V716750 - 1. assign V017544 = V225572 + 1. assign V696035 = V125285. assign V233139 = V269889. assign V689701 = V643004. assign V328565 = V315551 + 1. assign V145475 = V312718 + 1. assign V380292 = V696035 - 1. assign V534112 = V767304 - 1. assign V214013 = V152681 + 1. assign V539706 = V832916 + 1. assign V962699 = V214013 - 1. assign V720276 = V426177. assign V331341 = V892542 + 1. assign V777076 = V576179. assign V300416 = V402362 - 1. assign V848564 = V743212 - 1. assign V927794 = V338286. assign V225572 = V825505 + 1. assign V574567 = V772408. assign V621944 = V262433. assign V728864 = V989487 - 1. assign V802866 = V939303. assign V211607 = V272275 - 1. assign V891864 = V825001. assign V483121 = V207632 + 1. assign V173464 = V867718 - 1. assign V848727 = V682396. assign V376208 = V814336 - 1. assign V855520 = V228288 - 1. assign V307222 = V315551 + 1. assign V094253 = V848890 - 1. assign V817607 = V273710 + 1. assign V708279 = V576179 - 1. assign V610834 = V977209 + 1. assign V835038 = V634867 + 1. assign V348355 = V728314 - 1. assign V415020 = V307222. assign V342367 = V535868 + 1. assign V433035 = V252227 - 1. assign V724712 = V416255 + 1. assign V750042 = V207632 - 1. assign V939303 = V943480 - 1. assign V426177 = V772408. assign V723710 = V279272. assign V889664 = V353134 - 1. assign V240069 = V549766 + 1. assign V575025 = V240415 - 1. assign V926334 = V345592 - 1. assign V520884 = V090055 + 1. assign V731843 = V416844 + 1. assign V281835 = V731843. assign V219145 = V802866. assign V025206 = V338286 - 1. assign V116193 = V986900 - 1. assign V768060 = V178314. assign V001180 = V178314. assign V259894 = V016678 - 1. assign V549766 = V152681 + 1. assign V758102 = V732185 + 1. assign V510500 = V207632 + 1. assign V176789 = V483121 + 1. assign V128377 = V867718 + 1. assign V033158 = V353134. assign V146269 = V279272 - 1. assign V481023 = V634867. assign V532811 = V743212 - 1. assign V125285 = V152681 - 1. assign V322786 = V610509 - 1. assign V099156 = V788337. assign V338286 = V272275. assign V799892 = V033158. assign V925200 = V128377 - 1. assign V273790 = V090055. assign V508791 = V531544 + 1. assign V620181 = V005060 + 1. assign V772408 = V535868 + 1. assign V593758 = V667619 + 1. assign V820665 = V750042 + 1. assign V676319 = V152681. assign V128319 = 1. assign V072511 = V848564. assign V714606 = V832916. assign V903249 = V128319 - 1. assign V005060 = V377252. assign V767304 = V016678 + 1. assign V071765 = V711311. assign V341140 = V415020 + 1. assign V816244 = V196573. assign V019508 = V042166 + 1. assign V571296 = V244013 - 1. assign V855737 = V047869. assign V252227 = V244013 - 1. assign V848890 = V035235. assign V429717 = V680721 + 1. assign V084092 = V825505 - 1. assign V286173 = V943697. assign V886594 = V055494. assign V019260 = V892542 - 1. assign V576179 = V017544 + 1. assign V449131 = V936971. assign V079821 = V768060. assign V034041 = V855520 - 1. assign V825001 = V388393 - 1. assign V059260 = V429717. assign V392767 = V551082. assign V432998 = V239505. assign V329516 = V723985 - 1. assign V021538 = V576179 + 1. assign V791552 = V942110 - 1. assign V680721 = V225972 - 1. assign V983797 = V225972 - 1. assign V593535 = V667619. assign V876884 = V431221. assign V480757 = V943480 + 1. assign V838854 = V359305. assign V658535 = V895711. assign V125962 = V867718. assign V869554 = V708279. assign V344463 = V849289. assign V667619 = V262433 + 1. assign V372487 = V825505 - 1. assign V814336 = V772408 + 1. assign V487179 = V772408 + 1. assign V551295 = V152681. assign V116673 = V240415 + 1. assign V977209 = V844746. assign V682396 = V634501. assign V071981 = V625826 - 1. assign V553304 = V481023 - 1. assign V730321 = V359069 - 1. assign V555640 = V997082 + 1. assign V447784 = V415428 + 1. assign V551082 = V610509 - 1. assign V531544 = V384931 - 1. assign V516794 = V207632 - 1. assign V943480 = V722229 + 1. assign V629618 = V852450 + 1. assign V567732 = V986900. assign V867718 = V825505 - 1. assign V149675 = V817188 + 1. assign V391720 = V447043. assign V902502 = V876884 + 1. assign V895711 = V835038 - 1. assign V244013 = V152681 - 1. assign V016678 = V664914 + 1. assign V992802 = V835038. assign V269889 = V431221. assign V456713 = V329516 - 1. assign V911505 = V416844 + 1. assign V123631 = V072511 + 1. assign V226734 = V664914 - 1. assign V158660 = V063453 + 1. assign V353134 = V779199. assign V610509 = V849289 - 1. assign V294728 = V461249 + 1. assign V177347 = V187537 + 1. assign V657913 = V402362 - 1. assign V495222 = V802866 + 1. assign V805149 = V634501. assign V461249 = V149675 - 1. assign V056493 = V099156 - 1. assign V942110 = V149675 + 1. assign V655481 = V225572 - 1. assign V481998 = V869554. assign V910511 = V802866 - 1. assign V844746 = V876884. assign V774180 = V799892 - 1. assign V839471 = V456713 + 1. assign V788337 = V128319 + 1. assign V293096 = V483121 + 1. assign V757471 = V767304 + 1. assign V877417 = V232881. assign V236841 = V259894 - 1. assign V945087 = V072511 - 1. assign V538891 = V728314 - 1. assign V021404 = V159914 - 1. assign V196573 = V510500. assign V775405 = V695714 - 1. assign V517749 = V017544 - 1. assign V156518 = V481023 - 1. assign V187537 = V152681 + 1. assign V832524 = V567732 + 1. assign V273710 = V551082 - 1. assign V152681 = V825505. assign V384931 = V788337. assign V313124 = V017693. assign V312113 = V989101. assign V614978 = V313124 + 1. assign V986900 = V825505. assign V041316 = V302416 + 1. assign V200860 = V145475. assign V175554 = V376208. assign V757451 = V416844 - 1. assign V535868 = V943480 + 1. assign V153778 = V925909 - 1. assign V939981 = V296037 - 1. assign V743164 = V472092 + 1. assign V943697 = V017544 - 1. assign V047869 = V429717 + 1. assign V562376 = V839471 + 1. assign V755710 = V206936 - 1. assign V034194 = V331129. assign V707272 = V211607 - 1. assign V447043 = V331129 + 1. assign V731485 = V331341 + 1. assign V963388 = V447328 - 1. assign V815156 = V178314 + 1. assign V792927 = V802866. assign V779199 = V943480 + 1. assign V137768 = V055186. assign V272275 = V152681. assign V017693 = V625826 - 1. assign V091949 = V844746. assign V360616 = V214013 - 1. assign V178314 = V338286 + 1. assign V090055 = V016678 - 1. assign V062447 = V848564. assign V287551 = V867718 - 1. assign V090776 = V855520 + 1. assign V057266 = V128319 + 1. assign V042166 = V431221 - 1. assign V989101 = V128377 - 1. assign V129567 = V695714. assign V743212 = V943697 - 1. assign V783729 = V634867. assign V304333 = V331341. assign V989487 = V287551 - 1. assign V089937 = V576179. assign V476615 = V666203 - 1. assign V191656 = V674561. assign V837996 = V125285 - 1. assign V674561 = V177130 - 1. assign V194021 = V655481 + 1. assign V852450 = V125285 - 1. assign V225972 = V867718 - 1. assign V296037 = V837996 + 1. assign V798181 = V176789. assign V139433 = V798181 + 1. assign V310367 = V767304. assign V880773 = V892542 - 1. assign V055186 = V801011. assign V388393 = V743212 - 1. assign V722229 = V867718 + 1. assign V079148 = V090776 - 1. assign V415428 = V723985 - 1. assign V232881 = V019863 + 1. assign V416255 = V939303 - 1. assign V240415 = V273710 + 1. assign V475124 = V902502 + 1. assign V015028 = V279272 + 1. assign V666203 = V802866 + 1. assign V695714 = V017693 - 1. assign V817180 = V277037 + 1. assign V239505 = V825505. assign V807530 = V814336. assign V447328 = V021538 - 1. assign V381134 = V207632 + 1. assign V331129 = V207632 - 1. assign V433036 = V639514 + 1. assign V402362 = V732185 + 1. assign V801011 = V535868 - 1. assign V207632 = V667619 + 1. assign V925909 = V128377. assign V643004 = V240415 + 1. assign V359069 = V767304 + 1. assign V950657 = V621944 - 1. assign V055494 = V315551 + 1. assign V916528 = V696035 - 1. assign V865907 = V927794 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V858668 = V538891. assign V612145 = V225572 + 1. assign V786210 = V837996 + 1. assign V205797 = V084092. assign V858620 = V033158 + 1. assign V743737 = V817607. assign V933756 = V643004 - 1. assign V035235 = V892542 + 1. assign V186844 = V657913 - 1. assign V672727 = V855737 + 1. assign V901655 = V025206. assign V664914 = V794605 - 1. assign V167928 = V844746 + 1. assign V909571 = V510500 - 1. assign V639514 = V034194 + 1. assign V063453 = V939303 - 1. assign V832916 = V329516. assign V644971 = V226734. assign V270724 = V055494 - 1. assign V188970 = V532811. assign V803770 = V731485 - 1. assign V339753 = V188970 + 1. assign V462180 = V214013. assign V228288 = V188970. assign V159914 = V021538 - 1. assign V302416 = V837996 + 1. assign V019863 = V814336 + 1. assign V780850 = V674561 + 1. assign V298190 = V472092. assign V634867 = V483121 - 1. assign V723985 = V273710. assign V671780 = V848564 + 1. assign V882820 = V576179. assign V776067 = V743212 - 1. assign V380683 = V338286 - 1. assign V345592 = V249166 - 1. assign V711311 = V483121. assign V716750 = V943480 + 1. assign V185833 = V016678. assign V625826 = V867718 - 1. assign V732185 = V576179 + 1. assign V416844 = V025206 + 1. assign V164572 = V625826. assign V377252 = V817188. assign V858540 = V825505. assign V277037 = V867718 + 1. assign V892542 = V801011 + 1. assign V592106 = V232881 - 1. assign V394975 = V296037 - 1. assign V472092 = V779199 + 1. assign V546537 = V331129 + 1. assign V971326 = V372487 + 1. assign V249166 = V262433. assign V997082 = V777076 - 1. assign V243481 = V293096 - 1. assign V262433 = V825505. assign V936971 = V019260 + 1. assign V751604 = V825001 + 1. assign V667313 = V731843. assign V196388 = V730321 - 1. assign V634501 = V178314 + 1. assign V431221 = V849289 + 1. assign V206936 = V228288. assign V467701 = V152681 + 1. assign V312718 = V429717 + 1. assign V893757 = V839471. assign V794839 = V676319 - 1. assign V235511 = V279272. assign V849289 = V272275. assign V558928 = V825001. assign V279272 = V072511 + 1. assign V728314 = V415428 - 1. assign V120934 = V903249 - 1. assign V125312 = V426177 + 1. assign V922255 = V021538 - 1. assign V457884 = V892542. assign V794605 = V272275. assign V359305 = V176789 + 1. assign V817188 = V510500. assign V315551 = V535868. assign V177130 = V207632 + 1. assign V040329 = V716750 - 1. assign V017544 = V225572 + 1. assign V696035 = V125285. assign V233139 = V269889. assign V689701 = V643004. assign V328565 = V315551 + 1. assign V145475 = V312718 + 1. assign V380292 = V696035 - 1. assign V534112 = V767304 - 1. assign V214013 = V152681 + 1. assign V539706 = V832916 + 1. assign V962699 = V214013 - 1. assign V720276 = V426177. assign V331341 = V892542 + 1. assign V777076 = V576179. assign V300416 = V402362 - 1. assign V848564 = V743212 - 1. assign V927794 = V338286. assign V225572 = V825505 + 1. assign V574567 = V772408. assign V621944 = V262433. assign V728864 = V989487 - 1. assign V802866 = V939303. assign V211607 = V272275 - 1. assign V891864 = V825001. assign V483121 = V207632 + 1. assign V173464 = V867718 - 1. assign V848727 = V682396. assign V376208 = V814336 - 1. assign V855520 = V228288 - 1. assign V307222 = V315551 + 1. assign V094253 = V848890 - 1. assign V817607 = V273710 + 1. assign V708279 = V576179 - 1. assign V610834 = V977209 + 1. assign V835038 = V634867 + 1. assign V348355 = V728314 - 1. assign V415020 = V307222. assign V342367 = V535868 + 1. assign V433035 = V252227 - 1. assign V724712 = V416255 + 1. assign V750042 = V207632 - 1. assign V939303 = V943480 - 1. assign V426177 = V772408. assign V723710 = V279272. assign V889664 = V353134 - 1. assign V240069 = V549766 + 1. assign V575025 = V240415 - 1. assign V926334 = V345592 - 1. assign V520884 = V090055 + 1. assign V731843 = V416844 + 1. assign V281835 = V731843. assign V219145 = V802866. assign V025206 = V338286 - 1. assign V116193 = V986900 - 1. assign V768060 = V178314. assign V001180 = V178314. assign V259894 = V016678 - 1. assign V549766 = V152681 + 1. assign V758102 = V732185 + 1. assign V510500 = V207632 + 1. assign V176789 = V483121 + 1. assign V128377 = V867718 + 1. assign V033158 = V353134. assign V146269 = V279272 - 1. assign V481023 = V634867. assign V532811 = V743212 - 1. assign V125285 = V152681 - 1. assign V322786 = V610509 - 1. assign V099156 = V788337. assign V338286 = V272275. assign V799892 = V033158. assign V925200 = V128377 - 1. assign V273790 = V090055. assign V508791 = V531544 + 1. assign V620181 = V005060 + 1. assign V772408 = V535868 + 1. assign V593758 = V667619 + 1. assign V820665 = V750042 + 1. assign V676319 = V152681. assign V128319 = 1. assign V072511 = V848564. assign V714606 = V832916. assign V903249 = V128319 - 1. assign V005060 = V377252. assign V767304 = V016678 + 1. assign V071765 = V711311. assign V341140 = V415020 + 1. assign V816244 = V196573. assign V019508 = V042166 + 1. assign V571296 = V244013 - 1. assign V855737 = V047869. assign V252227 = V244013 - 1. assign V848890 = V035235. assign V429717 = V680721 + 1. assign V084092 = V825505 - 1. assign V286173 = V943697. assign V886594 = V055494. assign V019260 = V892542 - 1. assign V576179 = V017544 + 1. assign V449131 = V936971. assign V079821 = V768060. assign V034041 = V855520 - 1. assign V825001 = V388393 - 1. assign V059260 = V429717. assign V392767 = V551082. assign V432998 = V239505. assign V329516 = V723985 - 1. assign V021538 = V576179 + 1. assign V791552 = V942110 - 1. assign V680721 = V225972 - 1. assign V983797 = V225972 - 1. assign V593535 = V667619. assign V876884 = V431221. assign V480757 = V943480 + 1. assign V838854 = V359305. assign V658535 = V895711. assign V125962 = V867718. assign V869554 = V708279. assign V344463 = V849289. assign V667619 = V262433 + 1. assign V372487 = V825505 - 1. assign V814336 = V772408 + 1. assign V487179 = V772408 + 1. assign V551295 = V152681. assign V116673 = V240415 + 1. assign V977209 = V844746. assign V682396 = V634501. assign V071981 = V625826 - 1. assign V553304 = V481023 - 1. assign V730321 = V359069 - 1. assign V555640 = V997082 + 1. assign V447784 = V415428 + 1. assign V551082 = V610509 - 1. assign V531544 = V384931 - 1. assign V516794 = V207632 - 1. assign V943480 = V722229 + 1. assign V629618 = V852450 + 1. assign V567732 = V986900. assign V867718 = V825505 - 1. assign V149675 = V817188 + 1. assign V391720 = V447043. assign V902502 = V876884 + 1. assign V895711 = V835038 - 1. assign V244013 = V152681 - 1. assign V016678 = V664914 + 1. assign V992802 = V835038. assign V269889 = V431221. assign V456713 = V329516 - 1. assign V911505 = V416844 + 1. assign V123631 = V072511 + 1. assign V226734 = V664914 - 1. assign V158660 = V063453 + 1. assign V353134 = V779199. assign V610509 = V849289 - 1. assign V294728 = V461249 + 1. assign V177347 = V187537 + 1. assign V657913 = V402362 - 1. assign V495222 = V802866 + 1. assign V805149 = V634501. assign V461249 = V149675 - 1. assign V056493 = V099156 - 1. assign V942110 = V149675 + 1. assign V655481 = V225572 - 1. assign V481998 = V869554. assign V910511 = V802866 - 1. assign V844746 = V876884. assign V774180 = V799892 - 1. assign V839471 = V456713 + 1. assign V788337 = V128319 + 1. assign V293096 = V483121 + 1. assign V757471 = V767304 + 1. assign V877417 = V232881. assign V236841 = V259894 - 1. assign V945087 = V072511 - 1. assign V538891 = V728314 - 1. assign V021404 = V159914 - 1. assign V196573 = V510500. assign V775405 = V695714 - 1. assign V517749 = V017544 - 1. assign V156518 = V481023 - 1. assign V187537 = V152681 + 1. assign V832524 = V567732 + 1. assign V273710 = V551082 - 1. assign V152681 = V825505. assign V384931 = V788337. assign V313124 = V017693. assign V312113 = V989101. assign V614978 = V313124 + 1. assign V986900 = V825505. assign V041316 = V302416 + 1. assign V200860 = V145475. assign V175554 = V376208. assign V757451 = V416844 - 1. assign V535868 = V943480 + 1. assign V153778 = V925909 - 1. assign V939981 = V296037 - 1. assign V743164 = V472092 + 1. assign V943697 = V017544 - 1. assign V047869 = V429717 + 1. assign V562376 = V839471 + 1. assign V755710 = V206936 - 1. assign V034194 = V331129. assign V707272 = V211607 - 1. assign V447043 = V331129 + 1. assign V731485 = V331341 + 1. assign V963388 = V447328 - 1. assign V815156 = V178314 + 1. assign V792927 = V802866. assign V779199 = V943480 + 1. assign V137768 = V055186. assign V272275 = V152681. assign V017693 = V625826 - 1. assign V091949 = V844746. assign V360616 = V214013 - 1. assign V178314 = V338286 + 1. assign V090055 = V016678 - 1. assign V062447 = V848564. assign V287551 = V867718 - 1. assign V090776 = V855520 + 1. assign V057266 = V128319 + 1. assign V042166 = V431221 - 1. assign V989101 = V128377 - 1. assign V129567 = V695714. assign V743212 = V943697 - 1. assign V783729 = V634867. assign V304333 = V331341. assign V989487 = V287551 - 1. assign V089937 = V576179. assign V476615 = V666203 - 1. assign V191656 = V674561. assign V837996 = V125285 - 1. assign V674561 = V177130 - 1. assign V194021 = V655481 + 1. assign V852450 = V125285 - 1. assign V225972 = V867718 - 1. assign V296037 = V837996 + 1. assign V798181 = V176789. assign V139433 = V798181 + 1. assign V310367 = V767304. assign V880773 = V892542 - 1. assign V055186 = V801011. assign V388393 = V743212 - 1. assign V722229 = V867718 + 1. assign V079148 = V090776 - 1. assign V415428 = V723985 - 1. assign V232881 = V019863 + 1. assign V416255 = V939303 - 1. assign V240415 = V273710 + 1. assign V475124 = V902502 + 1. assign V015028 = V279272 + 1. assign V666203 = V802866 + 1. assign V695714 = V017693 - 1. assign V817180 = V277037 + 1. assign V239505 = V825505. assign V807530 = V814336. assign V447328 = V021538 - 1. assign V381134 = V207632 + 1. assign V331129 = V207632 - 1. assign V433036 = V639514 + 1. assign V402362 = V732185 + 1. assign V801011 = V535868 - 1. assign V207632 = V667619 + 1. assign V925909 = V128377. assign V643004 = V240415 + 1. assign V359069 = V767304 + 1. assign V950657 = V621944 - 1. assign V055494 = V315551 + 1. assign V916528 = V696035 - 1. assign V865907 = V927794 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV128319 = 1;\n\nFrom these direct assignment(s), we have: \nV057266 = V128319 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V057266;\nV788337 = V128319 + 1 = 1 + 1 =2;\nV384931 = V788337 = 2;\nV531544 = V384931 - 1 = 2 - 1 =1;\nV508791 = V531544 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V508791;\nNo other varaibles can be derived from V531544;\nNo other varaibles can be derived from V384931;\nV099156 = V788337 = 2;\nV056493 = V099156 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V056493;\nNo other varaibles can be derived from V099156;\nNo other varaibles can be derived from V788337;\nV903249 = V128319 - 1 = 1 - 1 =0;\nV120934 = V903249 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V120934;\nNo other varaibles can be derived from V903249;\nNo other varaibles can be derived from V128319;\n\nNow we have done all the calculations. Derived variables are:\nV128319 = 1;\nV057266 = 2;\nV788337 = 2;\nV384931 = 2;\nV531544 = 1;\nV508791 = 2;\nV099156 = 2;\nV056493 = 1;\nV903249 = 0;\nV120934 = -1;\n\nNow we have finished this problem. ANSWER:\nV057266, V788337, V384931, V508791, V099156\n", "role": "assistant" } ]

[ "V026783", "V295275" ]

[ { "content": "<context>\nassign V423465 = V076865 - 1. assign V497859 = V123226 + 1. assign V016240 = V596808 + 1. assign V421208 = V217881. assign V246708 = V939653. assign V483737 = V585303 - 1. assign V518291 = V189927. assign V852068 = V163452. assign V091169 = V496146 - 1. assign V222532 = V023408 - 1. assign V876549 = V351552 - 1. assign V330698 = V912949 + 1. assign V290339 = V016240 - 1. assign V054018 = V496146 - 1. assign V072835 = V294753 + 1. assign V575204 = V704879 + 1. assign V768055 = V188000 + 1. assign V351552 = V245717 + 1. assign V644343 = V914172 - 1. assign V355597 = V489932 + 1. assign V683841 = V947644 + 1. assign V352901 = V750722. assign V391317 = V139415 + 1. assign V111578 = V919090 - 1. assign V450857 = V189927. assign V225616 = V051914. assign V365002 = V671055. assign V063391 = V093618 - 1. assign V685523 = V750722 - 1. assign V820434 = V227798 + 1. assign V818679 = V536787 - 1. assign V026783 = V704879 - 1. assign V930430 = V188000 + 1. assign V504660 = V819925 + 1. assign V078528 = V874106 - 1. assign V285722 = V943787 + 1. assign V538231 = V093618 - 1. assign V096943 = V950229 + 1. assign V051914 = V043638 - 1. assign V183583 = V859713 - 1. assign V412927 = V044465 - 1. assign V163452 = V496146 + 1. assign V950229 = V250359 + 1. assign V781728 = V750722 + 1. assign V128216 = V914172. assign V643726 = V943700. assign V415001 = V912949 + 1. assign V546301 = V506207 - 1. assign V587637 = V834642 - 1. assign V883551 = V030934. assign V498689 = V116887. assign V012782 = V592729 - 1. assign V901153 = V399401. assign V833547 = V671055. assign V189927 = V399401 + 1. assign V941784 = V916882 - 1. assign V942147 = V922812 + 1. assign V515639 = V016240 + 1. assign V362397 = V101497 + 1. assign V188000 = V596808 - 1. assign V563838 = V518173 + 1. assign V958302 = V015135. assign V893225 = V111578 + 1. assign V353197 = V890470 + 1. assign V027242 = V020592. assign V274713 = V680627 + 1. assign V251173 = V111655 - 1. assign V943700 = V391317 - 1. assign V394107 = V078181. assign V934875 = V351552. assign V778050 = V030934 - 1. assign V594793 = V475984 - 1. assign V835093 = V331438 + 1. assign V536787 = V116887. assign V188076 = V391317 - 1. assign V867625 = V567265 + 1. assign V796899 = V683841. assign V777207 = V015135. assign V040589 = V943700 + 1. assign V305964 = V388364 - 1. assign V095922 = V518173 + 1. assign V152481 = V078181. assign V592491 = V497859. assign V746094 = V044286 + 1. assign V496146 = V890470 + 1. assign V808982 = V076865 - 1. assign V622325 = V901153. assign V489932 = V623537 - 1. assign V046613 = V943787 + 1. assign V664602 = V660556 + 1. assign V551424 = V091169. assign V059401 = V290339. assign V227798 = V391317 + 1. assign V576355 = V421353. assign V283620 = V803014 + 1. assign V108619 = V623537 - 1. assign V295275 = V026783. assign V147769 = V049036. assign V431249 = V387346 + 1. assign V714992 = V185741. assign V351869 = V872573 - 1. assign V078181 = V288710 - 1. assign V250383 = V387346 - 1. assign V294753 = V496146 + 1. assign V331438 = V996855. assign V241771 = V399401. assign V781510 = V184339. assign V388364 = V913384 + 1. assign V276898 = V250383 - 1. assign V922812 = V750722. assign V912949 = V163452 - 1. assign V062917 = V833547 - 1. assign V399401 = V365002 + 1. assign V834642 = V619206. assign V605317 = V496146 + 1. assign V758377 = V054018. assign V143244 = V475984. assign V980263 = V612065. assign V870596 = V392665. assign V191086 = V387346 - 1. assign V076865 = V671055. assign V530069 = V908676. assign V250359 = V939653 + 1. assign V034837 = V796899 + 1. assign V908676 = V596808. assign V185741 = V890470 + 1. assign V446592 = V063391. assign V638778 = V043638. assign V617077 = V959158 + 1. assign V622246 = V872573 - 1. assign V960117 = V685838 + 1. assign V566266 = V704879. assign V696721 = V290339. assign V661990 = V421208. assign V685149 = V624815 + 1. assign V560365 = V151249. assign V567265 = V036283 - 1. assign V592729 = V188076 + 1. assign V021592 = V093618. assign V623537 = V596808 - 1. assign V184339 = V908676. assign V506207 = V833524. assign V845739 = V942110. assign V098639 = V276898 - 1. assign V872573 = V245717 + 1. assign V774956 = V865415 + 1. assign V015135 = V734613 - 1. assign V693349 = V890470 + 1. assign V438501 = V475984 + 1. assign V916882 = V893913 - 1. assign V796771 = V541263. assign V766774 = V431249. assign V927106 = V043638. assign V049036 = V533653 - 1. assign V660556 = V091169. assign V914172 = V346317 + 1. assign V238490 = V943700 - 1. assign V671367 = V588873. assign V034868 = V365002 + 1. assign V606574 = V643726 + 1. assign V288710 = V852068 + 1. assign V459869 = V533653 + 1. assign V325266 = V606574 + 1. assign V996855 = V023408 - 1. assign V596808 = V350643. assign V862026 = V054018. assign V861841 = V746094 - 1. assign V064844 = V245717 - 1. assign V793871 = V064844. assign V610928 = V734613 - 1. assign V093618 = V475984 - 1. assign V421353 = V796899 - 1. assign V859713 = V305964 + 1. assign V036283 = V908676. assign V551218 = V185741 + 1. assign V595517 = V095393 - 1. assign V624815 = V111578 - 1. assign V849994 = V090171 - 1. assign V843534 = V241771. assign V625294 = V693349 - 1. assign V605633 = V227798 - 1. assign V026569 = V660556 + 1. assign V095393 = V008370 - 1. assign V718586 = V421208 - 1. assign V619206 = V693349. assign V097709 = V860568. assign V971103 = V518173. assign V639773 = V644343 + 1. assign V157127 = V914172. assign V090171 = V865206 - 1. assign V984290 = V819925 - 1. assign V439351 = V366369 - 1. assign V020592 = V619206 - 1. assign V759863 = V185741 - 1. assign V513679 = V064844 + 1. assign V054968 = V015135 + 1. assign V159990 = V746094 + 1. assign V862197 = V421208 + 1. assign V366880 = V703430 - 1. assign V833524 = V116887 + 1. assign V366369 = V753480. assign V583843 = V438381. assign V585303 = V919090 + 1. assign V475577 = V605633. assign V198079 = V250383 - 1. assign V141194 = V953987 + 1. assign V123226 = V913384 + 1. assign V847652 = V238490 + 1. assign V230409 = V188076 - 1. assign V403880 = V439351 + 1. assign V523984 = V567265. assign V890470 = V245717 - 1. assign V125224 = V859713. assign V462920 = V793871 + 1. assign V949357 = V504637 + 1. assign V947644 = V245717 - 1. assign V346317 = V515639 - 1. assign V734613 = V475984 + 1. assign V913384 = V350643. assign V548421 = V758377 + 1. assign V552801 = V835093. assign V803014 = V669543. assign V504637 = V101497. assign V286952 = V250383 - 1. assign V261848 = V111578 - 1. assign V820923 = V016240 - 1. assign V139415 = V093618 - 1. assign V082913 = V355597. assign V152345 = V867625 + 1. assign V671055 = V388364. assign V770454 = V588873 + 1. assign V350643 = V890470 + 1. assign V893913 = V238490. assign V919090 = V953987 + 1. assign V865206 = V163452. assign V739739 = V543882 + 1. assign V008370 = V623537 - 1. assign V486203 = V462920 + 1. assign V347201 = V043638 + 1. assign V245717 = V475984 - 1. assign V295199 = V660556. assign V842380 = V766774 - 1. assign V023408 = V536787. assign V475872 = V198079. assign V392639 = V851729. assign V392888 = V883551 + 1. assign V819925 = V189927 - 1. assign V101497 = V093618 - 1. assign V044465 = V860568 + 1. assign V704879 = 7. assign V541263 = V766156. assign V464636 = V623537. assign V924095 = V820923 + 1. assign V267014 = V350643 + 1. assign V518173 = V927106 + 1. assign V874106 = V931957 - 1. assign V533653 = V139415. assign V106554 = V859713. assign V650976 = V536787. assign V943787 = V927106. assign V942110 = V016240 + 1. assign V735963 = V750722. assign V149617 = V774956 - 1. assign V116887 = V660556 - 1. assign V697365 = V883551 - 1. assign V959158 = V391317. assign V378269 = V325266 + 1. assign V438381 = V217881 + 1. assign V399214 = V731219 - 1. assign V152930 = V833547 + 1. assign V527109 = V612921 - 1. assign V222492 = V619206. assign V935766 = V913384 - 1. assign V750722 = V250383 - 1. assign V939653 = V623537 - 1. assign V030934 = V202231 + 1. assign V458905 = V607982 - 1. assign V097403 = V350643 - 1. assign V851729 = V596808 - 1. assign V763755 = V596808 + 1. assign V907968 = V685838 + 1. assign V043638 = V365002. assign V407950 = V421353 + 1. assign V608220 = V934875 + 1. assign V910235 = V563838 - 1. assign V122054 = V288710. assign V210578 = V536787. assign V886363 = V833547. assign V583156 = V475984. assign V669543 = V163452. assign V865415 = V865206. assign V154276 = V330698 + 1. assign V387346 = V475984. assign V460920 = V671055 + 1. assign V354814 = V890470 + 1. assign V792104 = V108619 - 1. assign V808954 = V250383. assign V220751 = V959158 + 1. assign V373650 = V931957. assign V202231 = V064844. assign V536672 = V943787. assign V703430 = V890470 - 1. assign V461609 = V865206 - 1. assign V980232 = V365002 - 1. assign V098956 = V399214. assign V721221 = V731219 - 1. assign V860568 = V533653. assign V393465 = V953987. assign V766156 = V852068 - 1. assign V125474 = V515639 + 1. assign V911729 = V585303 - 1. assign V718505 = V399401. assign V217881 = V101497 + 1. assign V607982 = V833524. assign V731219 = V861841 - 1. assign V436696 = V734613 + 1. assign V543882 = V693349 - 1. assign V151249 = V625294 - 1. assign V676130 = V753480 + 1. assign V612065 = V566266 + 1. assign V953987 = V250383 - 1. assign V753480 = V942110. assign V548311 = V285722 + 1. assign V148331 = V023408 - 1. assign V996393 = V587637. assign V706861 = V934875 + 1. assign V392665 = V261848 + 1. assign V976165 = V106554. assign V931957 = V947644. assign V690636 = V638778 + 1. assign V618524 = V845739 + 1. assign V716254 = V731219 - 1. assign V589960 = V758377 + 1. assign V899414 = V735963 + 1. assign V588873 = V026783 + 1. assign V685838 = V421353 + 1. assign V651593 = V330698 - 1. assign V612921 = V091169 + 1. assign V044286 = V947644 + 1. assign V962298 = V450857. assign V684625 = V671055 + 1. assign V840127 = V515639 - 1. assign V953173 = V835093 - 1. assign V289015 = V111655 - 1. assign V908499 = V958302 + 1. assign V416218 = V188000. assign V111655 = V421353. assign V965455 = V865206 + 1. assign V680627 = V391317. assign V655676 = V890470 + 1. assign V568397 = V412927 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V423465 = V076865 - 1. assign V497859 = V123226 + 1. assign V016240 = V596808 + 1. assign V421208 = V217881. assign V246708 = V939653. assign V483737 = V585303 - 1. assign V518291 = V189927. assign V852068 = V163452. assign V091169 = V496146 - 1. assign V222532 = V023408 - 1. assign V876549 = V351552 - 1. assign V330698 = V912949 + 1. assign V290339 = V016240 - 1. assign V054018 = V496146 - 1. assign V072835 = V294753 + 1. assign V575204 = V704879 + 1. assign V768055 = V188000 + 1. assign V351552 = V245717 + 1. assign V644343 = V914172 - 1. assign V355597 = V489932 + 1. assign V683841 = V947644 + 1. assign V352901 = V750722. assign V391317 = V139415 + 1. assign V111578 = V919090 - 1. assign V450857 = V189927. assign V225616 = V051914. assign V365002 = V671055. assign V063391 = V093618 - 1. assign V685523 = V750722 - 1. assign V820434 = V227798 + 1. assign V818679 = V536787 - 1. assign V026783 = V704879 - 1. assign V930430 = V188000 + 1. assign V504660 = V819925 + 1. assign V078528 = V874106 - 1. assign V285722 = V943787 + 1. assign V538231 = V093618 - 1. assign V096943 = V950229 + 1. assign V051914 = V043638 - 1. assign V183583 = V859713 - 1. assign V412927 = V044465 - 1. assign V163452 = V496146 + 1. assign V950229 = V250359 + 1. assign V781728 = V750722 + 1. assign V128216 = V914172. assign V643726 = V943700. assign V415001 = V912949 + 1. assign V546301 = V506207 - 1. assign V587637 = V834642 - 1. assign V883551 = V030934. assign V498689 = V116887. assign V012782 = V592729 - 1. assign V901153 = V399401. assign V833547 = V671055. assign V189927 = V399401 + 1. assign V941784 = V916882 - 1. assign V942147 = V922812 + 1. assign V515639 = V016240 + 1. assign V362397 = V101497 + 1. assign V188000 = V596808 - 1. assign V563838 = V518173 + 1. assign V958302 = V015135. assign V893225 = V111578 + 1. assign V353197 = V890470 + 1. assign V027242 = V020592. assign V274713 = V680627 + 1. assign V251173 = V111655 - 1. assign V943700 = V391317 - 1. assign V394107 = V078181. assign V934875 = V351552. assign V778050 = V030934 - 1. assign V594793 = V475984 - 1. assign V835093 = V331438 + 1. assign V536787 = V116887. assign V188076 = V391317 - 1. assign V867625 = V567265 + 1. assign V796899 = V683841. assign V777207 = V015135. assign V040589 = V943700 + 1. assign V305964 = V388364 - 1. assign V095922 = V518173 + 1. assign V152481 = V078181. assign V592491 = V497859. assign V746094 = V044286 + 1. assign V496146 = V890470 + 1. assign V808982 = V076865 - 1. assign V622325 = V901153. assign V489932 = V623537 - 1. assign V046613 = V943787 + 1. assign V664602 = V660556 + 1. assign V551424 = V091169. assign V059401 = V290339. assign V227798 = V391317 + 1. assign V576355 = V421353. assign V283620 = V803014 + 1. assign V108619 = V623537 - 1. assign V295275 = V026783. assign V147769 = V049036. assign V431249 = V387346 + 1. assign V714992 = V185741. assign V351869 = V872573 - 1. assign V078181 = V288710 - 1. assign V250383 = V387346 - 1. assign V294753 = V496146 + 1. assign V331438 = V996855. assign V241771 = V399401. assign V781510 = V184339. assign V388364 = V913384 + 1. assign V276898 = V250383 - 1. assign V922812 = V750722. assign V912949 = V163452 - 1. assign V062917 = V833547 - 1. assign V399401 = V365002 + 1. assign V834642 = V619206. assign V605317 = V496146 + 1. assign V758377 = V054018. assign V143244 = V475984. assign V980263 = V612065. assign V870596 = V392665. assign V191086 = V387346 - 1. assign V076865 = V671055. assign V530069 = V908676. assign V250359 = V939653 + 1. assign V034837 = V796899 + 1. assign V908676 = V596808. assign V185741 = V890470 + 1. assign V446592 = V063391. assign V638778 = V043638. assign V617077 = V959158 + 1. assign V622246 = V872573 - 1. assign V960117 = V685838 + 1. assign V566266 = V704879. assign V696721 = V290339. assign V661990 = V421208. assign V685149 = V624815 + 1. assign V560365 = V151249. assign V567265 = V036283 - 1. assign V592729 = V188076 + 1. assign V021592 = V093618. assign V623537 = V596808 - 1. assign V184339 = V908676. assign V506207 = V833524. assign V845739 = V942110. assign V098639 = V276898 - 1. assign V872573 = V245717 + 1. assign V774956 = V865415 + 1. assign V015135 = V734613 - 1. assign V693349 = V890470 + 1. assign V438501 = V475984 + 1. assign V916882 = V893913 - 1. assign V796771 = V541263. assign V766774 = V431249. assign V927106 = V043638. assign V049036 = V533653 - 1. assign V660556 = V091169. assign V914172 = V346317 + 1. assign V238490 = V943700 - 1. assign V671367 = V588873. assign V034868 = V365002 + 1. assign V606574 = V643726 + 1. assign V288710 = V852068 + 1. assign V459869 = V533653 + 1. assign V325266 = V606574 + 1. assign V996855 = V023408 - 1. assign V596808 = V350643. assign V862026 = V054018. assign V861841 = V746094 - 1. assign V064844 = V245717 - 1. assign V793871 = V064844. assign V610928 = V734613 - 1. assign V093618 = V475984 - 1. assign V421353 = V796899 - 1. assign V859713 = V305964 + 1. assign V036283 = V908676. assign V551218 = V185741 + 1. assign V595517 = V095393 - 1. assign V624815 = V111578 - 1. assign V849994 = V090171 - 1. assign V843534 = V241771. assign V625294 = V693349 - 1. assign V605633 = V227798 - 1. assign V026569 = V660556 + 1. assign V095393 = V008370 - 1. assign V718586 = V421208 - 1. assign V619206 = V693349. assign V097709 = V860568. assign V971103 = V518173. assign V639773 = V644343 + 1. assign V157127 = V914172. assign V090171 = V865206 - 1. assign V984290 = V819925 - 1. assign V439351 = V366369 - 1. assign V020592 = V619206 - 1. assign V759863 = V185741 - 1. assign V513679 = V064844 + 1. assign V054968 = V015135 + 1. assign V159990 = V746094 + 1. assign V862197 = V421208 + 1. assign V366880 = V703430 - 1. assign V833524 = V116887 + 1. assign V366369 = V753480. assign V583843 = V438381. assign V585303 = V919090 + 1. assign V475577 = V605633. assign V198079 = V250383 - 1. assign V141194 = V953987 + 1. assign V123226 = V913384 + 1. assign V847652 = V238490 + 1. assign V230409 = V188076 - 1. assign V403880 = V439351 + 1. assign V523984 = V567265. assign V890470 = V245717 - 1. assign V125224 = V859713. assign V462920 = V793871 + 1. assign V949357 = V504637 + 1. assign V947644 = V245717 - 1. assign V346317 = V515639 - 1. assign V734613 = V475984 + 1. assign V913384 = V350643. assign V548421 = V758377 + 1. assign V552801 = V835093. assign V803014 = V669543. assign V504637 = V101497. assign V286952 = V250383 - 1. assign V261848 = V111578 - 1. assign V820923 = V016240 - 1. assign V139415 = V093618 - 1. assign V082913 = V355597. assign V152345 = V867625 + 1. assign V671055 = V388364. assign V770454 = V588873 + 1. assign V350643 = V890470 + 1. assign V893913 = V238490. assign V919090 = V953987 + 1. assign V865206 = V163452. assign V739739 = V543882 + 1. assign V008370 = V623537 - 1. assign V486203 = V462920 + 1. assign V347201 = V043638 + 1. assign V245717 = V475984 - 1. assign V295199 = V660556. assign V842380 = V766774 - 1. assign V023408 = V536787. assign V475872 = V198079. assign V392639 = V851729. assign V392888 = V883551 + 1. assign V819925 = V189927 - 1. assign V101497 = V093618 - 1. assign V044465 = V860568 + 1. assign V704879 = 7. assign V541263 = V766156. assign V464636 = V623537. assign V924095 = V820923 + 1. assign V267014 = V350643 + 1. assign V518173 = V927106 + 1. assign V874106 = V931957 - 1. assign V533653 = V139415. assign V106554 = V859713. assign V650976 = V536787. assign V943787 = V927106. assign V942110 = V016240 + 1. assign V735963 = V750722. assign V149617 = V774956 - 1. assign V116887 = V660556 - 1. assign V697365 = V883551 - 1. assign V959158 = V391317. assign V378269 = V325266 + 1. assign V438381 = V217881 + 1. assign V399214 = V731219 - 1. assign V152930 = V833547 + 1. assign V527109 = V612921 - 1. assign V222492 = V619206. assign V935766 = V913384 - 1. assign V750722 = V250383 - 1. assign V939653 = V623537 - 1. assign V030934 = V202231 + 1. assign V458905 = V607982 - 1. assign V097403 = V350643 - 1. assign V851729 = V596808 - 1. assign V763755 = V596808 + 1. assign V907968 = V685838 + 1. assign V043638 = V365002. assign V407950 = V421353 + 1. assign V608220 = V934875 + 1. assign V910235 = V563838 - 1. assign V122054 = V288710. assign V210578 = V536787. assign V886363 = V833547. assign V583156 = V475984. assign V669543 = V163452. assign V865415 = V865206. assign V154276 = V330698 + 1. assign V387346 = V475984. assign V460920 = V671055 + 1. assign V354814 = V890470 + 1. assign V792104 = V108619 - 1. assign V808954 = V250383. assign V220751 = V959158 + 1. assign V373650 = V931957. assign V202231 = V064844. assign V536672 = V943787. assign V703430 = V890470 - 1. assign V461609 = V865206 - 1. assign V980232 = V365002 - 1. assign V098956 = V399214. assign V721221 = V731219 - 1. assign V860568 = V533653. assign V393465 = V953987. assign V766156 = V852068 - 1. assign V125474 = V515639 + 1. assign V911729 = V585303 - 1. assign V718505 = V399401. assign V217881 = V101497 + 1. assign V607982 = V833524. assign V731219 = V861841 - 1. assign V436696 = V734613 + 1. assign V543882 = V693349 - 1. assign V151249 = V625294 - 1. assign V676130 = V753480 + 1. assign V612065 = V566266 + 1. assign V953987 = V250383 - 1. assign V753480 = V942110. assign V548311 = V285722 + 1. assign V148331 = V023408 - 1. assign V996393 = V587637. assign V706861 = V934875 + 1. assign V392665 = V261848 + 1. assign V976165 = V106554. assign V931957 = V947644. assign V690636 = V638778 + 1. assign V618524 = V845739 + 1. assign V716254 = V731219 - 1. assign V589960 = V758377 + 1. assign V899414 = V735963 + 1. assign V588873 = V026783 + 1. assign V685838 = V421353 + 1. assign V651593 = V330698 - 1. assign V612921 = V091169 + 1. assign V044286 = V947644 + 1. assign V962298 = V450857. assign V684625 = V671055 + 1. assign V840127 = V515639 - 1. assign V953173 = V835093 - 1. assign V289015 = V111655 - 1. assign V908499 = V958302 + 1. assign V416218 = V188000. assign V111655 = V421353. assign V965455 = V865206 + 1. assign V680627 = V391317. assign V655676 = V890470 + 1. assign V568397 = V412927 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV704879 = 7;\n\nFrom these direct assignment(s), we have: \nV566266 = V704879 = 7;\nV612065 = V566266 + 1 = 7 + 1 =8;\nV980263 = V612065 = 8;\nNo other varaibles can be derived from V980263;\nNo other varaibles can be derived from V612065;\nNo other varaibles can be derived from V566266;\nV026783 = V704879 - 1 = 7 - 1 =6;\nV588873 = V026783 + 1 = 6 + 1 =7;\nV770454 = V588873 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V770454;\nV671367 = V588873 = 7;\nNo other varaibles can be derived from V671367;\nNo other varaibles can be derived from V588873;\nV295275 = V026783 = 6;\nNo other varaibles can be derived from V295275;\nNo other varaibles can be derived from V026783;\nV575204 = V704879 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V575204;\nNo other varaibles can be derived from V704879;\n\nNow we have done all the calculations. Derived variables are:\nV704879 = 7;\nV566266 = 7;\nV612065 = 8;\nV980263 = 8;\nV026783 = 6;\nV588873 = 7;\nV770454 = 8;\nV671367 = 7;\nV295275 = 6;\nV575204 = 8;\n\nNow we have finished this problem. ANSWER:\nV026783, V295275\n", "role": "assistant" } ]

[ "V034699", "V981919", "V272347", "V270732", "V857391", "V374755" ]

[ { "content": "<context>\nassign V793801 = V434808. assign V409855 = V781739. assign V606449 = V292746 - 1. assign V307407 = V040588. assign V326392 = V465215 - 1. assign V578327 = V362244 - 1. assign V706381 = V990774 + 1. assign V653882 = V251288 + 1. assign V809878 = V256054 + 1. assign V882711 = V728761 - 1. assign V624029 = V629261. assign V587560 = V989752 + 1. assign V656919 = V123444. assign V629261 = V560588 - 1. assign V057634 = V199453 + 1. assign V081742 = V905803 - 1. assign V256054 = V883873 - 1. assign V216830 = V216688 - 1. assign V103799 = V618759 - 1. assign V875860 = V705265 - 1. assign V305830 = V647887 - 1. assign V198728 = V629785 - 1. assign V460186 = V254184. assign V546868 = V718268 - 1. assign V965588 = V285504 - 1. assign V164687 = V898227 - 1. assign V561354 = V272046. assign V681048 = V005786 + 1. assign V886528 = V322659. assign V597574 = V893508 - 1. assign V076492 = V272046. assign V928215 = V558069. assign V596852 = V434808 - 1. assign V216688 = V091674. assign V543122 = V560588. assign V823324 = V267636 + 1. assign V415933 = V161500 + 1. assign V917797 = V629261 + 1. assign V285504 = V263450. assign V892471 = V823324. assign V618759 = V690849 - 1. assign V183576 = V264638 + 1. assign V263450 = V091674. assign V459085 = V618354 - 1. assign V369213 = V647887 - 1. assign V531718 = V029478 - 1. assign V376853 = V560588 - 1. assign V322659 = V324305 + 1. assign V251288 = V678926 - 1. assign V324925 = V907977. assign V642230 = V905803 + 1. assign V529725 = V705265 + 1. assign V497538 = V254804 - 1. assign V474154 = V641395. assign V752607 = V220179 + 1. assign V093636 = V326392. assign V423422 = V629261 - 1. assign V880533 = V136107 - 1. assign V129123 = V905803 - 1. assign V705848 = V212026. assign V109376 = V501037 - 1. assign V457938 = V690849. assign V881603 = V322659 - 1. assign V018526 = V161500 - 1. assign V095376 = V097408. assign V898227 = V899503. assign V250690 = V307407. assign V690849 = V324305 - 1. assign V423354 = V286667 - 1. assign V732995 = V894219 + 1. assign V728636 = V917238 + 1. assign V637551 = V461586 + 1. assign V040588 = V285504 + 1. assign V103240 = V732995. assign V590934 = V791217. assign V759637 = V629261. assign V919190 = V336970. assign V383351 = V924866. assign V906586 = V251288 + 1. assign V840597 = V216830 - 1. assign V038183 = V093636 - 1. assign V291651 = V606449 + 1. assign V109901 = V307847 - 1. assign V611026 = V486325 + 1. assign V917238 = V907977. assign V148090 = V003945 - 1. assign V974609 = V684106 - 1. assign V876808 = V524174 + 1. assign V825138 = V241917 - 1. assign V363163 = V278685. assign V905803 = V853079. assign V908639 = V461586 - 1. assign V877628 = V678926 - 1. assign V220179 = V720253 - 1. assign V362627 = V270732 + 1. assign V986630 = V395256. assign V524174 = V742614. assign V548963 = V334817 - 1. assign V721172 = V623146 + 1. assign V267636 = V465215 + 1. assign V106323 = V892471 - 1. assign V541205 = V263450. assign V430817 = V972324 + 1. assign V802251 = V029478. assign V516635 = V057634 - 1. assign V149271 = V752607. assign V254804 = V989752 - 1. assign V670700 = V465215 + 1. assign V971812 = V629785 - 1. assign V270732 = V981919. assign V933879 = V681518 + 1. assign V152902 = V064821. assign V433438 = V705848. assign V564301 = V324925 - 1. assign V893508 = V376853. assign V041650 = V820239. assign V843183 = V244352. assign V623146 = V465215. assign V550900 = V391571. assign V482401 = V034699 + 1. assign V407068 = V251288 - 1. assign V650941 = V720253. assign V137940 = V705848 + 1. assign V230539 = V042658 - 1. assign V959949 = V337516 - 1. assign V429716 = V857391 + 1. assign V186688 = V650941 + 1. assign V916558 = V263450. assign V068213 = V060276. assign V241269 = V285504. assign V228304 = V198728 + 1. assign V317773 = V395256. assign V479621 = V029478 + 1. assign V266006 = V091674 + 1. assign V106983 = V752607. assign V212026 = V064821 - 1. assign V334817 = V809878 - 1. assign V796772 = V461997. assign V198922 = V629785. assign V264638 = V516635 - 1. assign V194523 = V718268. assign V091674 = V395256 + 1. assign V857473 = V905803 - 1. assign V029478 = V553933. assign V176906 = V457938. assign V406737 = V317773 + 1. assign V640729 = V461586 - 1. assign V177460 = V034699 - 1. assign V588625 = V334817. assign V678741 = V916558 + 1. assign V059510 = V322659. assign V704322 = V320108 + 1. assign V034699 = 8. assign V067000 = V059510. assign V618354 = V136107. assign V055801 = V501670 + 1. assign V465215 = V618354 + 1. assign V241917 = V853079. assign V421793 = V266006 - 1. assign V391571 = V106983 - 1. assign V324305 = V263450 - 1. assign V883873 = V690849 - 1. assign V331695 = V990774 + 1. assign V792917 = V597574. assign V228291 = V618759 - 1. assign V147844 = V178042 + 1. assign V584292 = V196979. assign V843565 = V690849. assign V602946 = V465215 + 1. assign V199453 = V220179 - 1. assign V692070 = V286667 + 1. assign V503894 = V623146 - 1. assign V254184 = V093636 - 1. assign V329333 = V286667 + 1. assign V242233 = V147844 + 1. assign V684106 = V990774 - 1. assign V769951 = V091674 + 1. assign V926035 = V302396 - 1. assign V920873 = V990774 - 1. assign V601395 = V527890 - 1. assign V641689 = V522450. assign V614449 = V458804 + 1. assign V619858 = V304478 + 1. assign V204419 = V681048. assign V820239 = V315910 - 1. assign V341026 = V718268 - 1. assign V819335 = V629785. assign V067012 = V647350 - 1. assign V336970 = V005786 + 1. assign V196979 = V553933 - 1. assign V553933 = V395256 + 1. assign V560588 = V650941 + 1. assign V055824 = V917797 - 1. assign V192519 = V875860. assign V584021 = V842173. assign V029809 = V820937 - 1. assign V084283 = V704322 - 1. assign V932920 = V324305. assign V292746 = V005786. assign V257378 = V097020 - 1. assign V990774 = V272046 + 1. assign V794461 = V376853 + 1. assign V337516 = V794461 - 1. assign V972324 = V324305 + 1. assign V986591 = V823324 - 1. assign V930225 = V304478 + 1. assign V740403 = V647350 + 1. assign V166700 = V459085 + 1. assign V458804 = V543122 - 1. assign V558069 = V965588 + 1. assign V461586 = V809878. assign V387484 = V558069. assign V981919 = V034699. assign V262385 = V857473 + 1. assign V081390 = V067012 + 1. assign V283325 = V091674. assign V530354 = V251288 - 1. assign V071524 = V618354 - 1. assign V672140 = V057634 - 1. assign V101430 = V845879 + 1. assign V740154 = V843565 + 1. assign V442549 = V067000 + 1. assign V554699 = V192519 - 1. assign V886933 = V191887. assign V244352 = V845879 + 1. assign V272046 = V005786. assign V054641 = V728761 + 1. assign V758144 = V272046. assign V641395 = V317773 - 1. assign V097408 = V681048 + 1. assign V587413 = V532215. assign V506003 = V793801. assign V777387 = V920873. assign V025969 = V334817 - 1. assign V268560 = V272046 + 1. assign V575730 = V152902 - 1. assign V863294 = V916558 + 1. assign V042658 = V266006 - 1. assign V024898 = V681048. assign V501670 = V317773. assign V163536 = V302417. assign V647887 = V241917 + 1. assign V097020 = V516635 + 1. assign V700454 = V204419. assign V901705 = V433438 - 1. assign V329011 = V376853 + 1. assign V145513 = V191887. assign V899503 = V112991. assign V434808 = V060276. assign V064821 = V112991 - 1. assign V315910 = V320108. assign V853079 = V596852 + 1. assign V060276 = V136107 + 1. assign V532215 = V907977 + 1. assign V188207 = V971812 - 1. assign V894001 = V167929. assign V812500 = V883873. assign V167929 = V005786 - 1. assign V629785 = V681048 - 1. assign V374755 = V272347. assign V842173 = V199453 - 1. assign V633631 = V853950 - 1. assign V197217 = V329011 + 1. assign V988212 = V932920 - 1. assign V450057 = V920873 - 1. assign V191887 = V324305. assign V012130 = V324305 + 1. assign V124626 = V928215 - 1. assign V135451 = V705848 - 1. assign V363106 = V971812 - 1. assign V907977 = V060276. assign V080873 = V285504 + 1. assign V067920 = V423422 - 1. assign V888513 = V486325 - 1. assign V783160 = V642230 - 1. assign V802585 = V054641 + 1. assign V359697 = V292746 - 1. assign V272347 = V034699. assign V691870 = V212026. assign V681518 = V054641 - 1. assign V112991 = V307847 + 1. assign V374560 = V268560 + 1. assign V822473 = V176906 + 1. assign V924866 = V501670. assign V609624 = V530354 - 1. assign V631726 = V068213 - 1. assign V989752 = V302417 - 1. assign V582727 = V541205 + 1. assign V728761 = V465215. assign V853950 = V267636 - 1. assign V742614 = V010528 + 1. assign V302417 = V220179 + 1. assign V307847 = V395256 - 1. assign V857391 = V177460 + 1. assign V491860 = V057634 - 1. assign V080604 = V700454 - 1. assign V178042 = V395256 + 1. assign V136107 = V263450 - 1. assign V979850 = V434808 + 1. assign V678926 = V861473. assign V943905 = V819335 + 1. assign V329182 = V740154 - 1. assign V501037 = V196979. assign V781739 = V362244 + 1. assign V720253 = V216688 - 1. assign V762376 = V307847 - 1. assign V320108 = V395256 - 1. assign V123444 = V071524 + 1. assign V223381 = V820239 + 1. assign V585699 = V080604. assign V080858 = V584021 + 1. assign V302396 = V681048. assign V820937 = V136107. assign V589190 = V307847 + 1. assign V522450 = V241917. assign V647350 = V220179 - 1. assign V845879 = V893508 + 1. assign V894219 = V475070 + 1. assign V475070 = V883873 - 1. assign V736537 = V461586 - 1. assign V474334 = V326392 - 1. assign V498417 = V558069 + 1. assign V970644 = V740403 + 1. assign V969982 = V329011 - 1. assign V047247 = V095376 + 1. assign V222797 = V097408 + 1. assign V812093 = V369213 + 1. assign V527890 = V529725 - 1. assign V791217 = V641395 + 1. assign V533757 = V331695 + 1. assign V082697 = V197217 - 1. assign V005786 = V263450. assign V442045 = V263450 + 1. assign V861473 = V853079 + 1. assign V705265 = V965588 - 1. assign V955625 = V147844. assign V161500 = V596852 - 1. assign V010528 = V720253. assign V917043 = V251288 + 1. assign V264087 = V705265 - 1. assign V718268 = V054641 - 1. assign V926727 = V670700 - 1. assign V278685 = V003945. assign V304478 = V286667. assign V286667 = V060276 - 1. assign V362244 = V376853. assign V186682 = V341026 + 1. assign V003945 = V647887 + 1. assign V461997 = V199453. assign V423548 = V148090 + 1. assign V486325 = V589190 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V793801 = V434808. assign V409855 = V781739. assign V606449 = V292746 - 1. assign V307407 = V040588. assign V326392 = V465215 - 1. assign V578327 = V362244 - 1. assign V706381 = V990774 + 1. assign V653882 = V251288 + 1. assign V809878 = V256054 + 1. assign V882711 = V728761 - 1. assign V624029 = V629261. assign V587560 = V989752 + 1. assign V656919 = V123444. assign V629261 = V560588 - 1. assign V057634 = V199453 + 1. assign V081742 = V905803 - 1. assign V256054 = V883873 - 1. assign V216830 = V216688 - 1. assign V103799 = V618759 - 1. assign V875860 = V705265 - 1. assign V305830 = V647887 - 1. assign V198728 = V629785 - 1. assign V460186 = V254184. assign V546868 = V718268 - 1. assign V965588 = V285504 - 1. assign V164687 = V898227 - 1. assign V561354 = V272046. assign V681048 = V005786 + 1. assign V886528 = V322659. assign V597574 = V893508 - 1. assign V076492 = V272046. assign V928215 = V558069. assign V596852 = V434808 - 1. assign V216688 = V091674. assign V543122 = V560588. assign V823324 = V267636 + 1. assign V415933 = V161500 + 1. assign V917797 = V629261 + 1. assign V285504 = V263450. assign V892471 = V823324. assign V618759 = V690849 - 1. assign V183576 = V264638 + 1. assign V263450 = V091674. assign V459085 = V618354 - 1. assign V369213 = V647887 - 1. assign V531718 = V029478 - 1. assign V376853 = V560588 - 1. assign V322659 = V324305 + 1. assign V251288 = V678926 - 1. assign V324925 = V907977. assign V642230 = V905803 + 1. assign V529725 = V705265 + 1. assign V497538 = V254804 - 1. assign V474154 = V641395. assign V752607 = V220179 + 1. assign V093636 = V326392. assign V423422 = V629261 - 1. assign V880533 = V136107 - 1. assign V129123 = V905803 - 1. assign V705848 = V212026. assign V109376 = V501037 - 1. assign V457938 = V690849. assign V881603 = V322659 - 1. assign V018526 = V161500 - 1. assign V095376 = V097408. assign V898227 = V899503. assign V250690 = V307407. assign V690849 = V324305 - 1. assign V423354 = V286667 - 1. assign V732995 = V894219 + 1. assign V728636 = V917238 + 1. assign V637551 = V461586 + 1. assign V040588 = V285504 + 1. assign V103240 = V732995. assign V590934 = V791217. assign V759637 = V629261. assign V919190 = V336970. assign V383351 = V924866. assign V906586 = V251288 + 1. assign V840597 = V216830 - 1. assign V038183 = V093636 - 1. assign V291651 = V606449 + 1. assign V109901 = V307847 - 1. assign V611026 = V486325 + 1. assign V917238 = V907977. assign V148090 = V003945 - 1. assign V974609 = V684106 - 1. assign V876808 = V524174 + 1. assign V825138 = V241917 - 1. assign V363163 = V278685. assign V905803 = V853079. assign V908639 = V461586 - 1. assign V877628 = V678926 - 1. assign V220179 = V720253 - 1. assign V362627 = V270732 + 1. assign V986630 = V395256. assign V524174 = V742614. assign V548963 = V334817 - 1. assign V721172 = V623146 + 1. assign V267636 = V465215 + 1. assign V106323 = V892471 - 1. assign V541205 = V263450. assign V430817 = V972324 + 1. assign V802251 = V029478. assign V516635 = V057634 - 1. assign V149271 = V752607. assign V254804 = V989752 - 1. assign V670700 = V465215 + 1. assign V971812 = V629785 - 1. assign V270732 = V981919. assign V933879 = V681518 + 1. assign V152902 = V064821. assign V433438 = V705848. assign V564301 = V324925 - 1. assign V893508 = V376853. assign V041650 = V820239. assign V843183 = V244352. assign V623146 = V465215. assign V550900 = V391571. assign V482401 = V034699 + 1. assign V407068 = V251288 - 1. assign V650941 = V720253. assign V137940 = V705848 + 1. assign V230539 = V042658 - 1. assign V959949 = V337516 - 1. assign V429716 = V857391 + 1. assign V186688 = V650941 + 1. assign V916558 = V263450. assign V068213 = V060276. assign V241269 = V285504. assign V228304 = V198728 + 1. assign V317773 = V395256. assign V479621 = V029478 + 1. assign V266006 = V091674 + 1. assign V106983 = V752607. assign V212026 = V064821 - 1. assign V334817 = V809878 - 1. assign V796772 = V461997. assign V198922 = V629785. assign V264638 = V516635 - 1. assign V194523 = V718268. assign V091674 = V395256 + 1. assign V857473 = V905803 - 1. assign V029478 = V553933. assign V176906 = V457938. assign V406737 = V317773 + 1. assign V640729 = V461586 - 1. assign V177460 = V034699 - 1. assign V588625 = V334817. assign V678741 = V916558 + 1. assign V059510 = V322659. assign V704322 = V320108 + 1. assign V034699 = 8. assign V067000 = V059510. assign V618354 = V136107. assign V055801 = V501670 + 1. assign V465215 = V618354 + 1. assign V241917 = V853079. assign V421793 = V266006 - 1. assign V391571 = V106983 - 1. assign V324305 = V263450 - 1. assign V883873 = V690849 - 1. assign V331695 = V990774 + 1. assign V792917 = V597574. assign V228291 = V618759 - 1. assign V147844 = V178042 + 1. assign V584292 = V196979. assign V843565 = V690849. assign V602946 = V465215 + 1. assign V199453 = V220179 - 1. assign V692070 = V286667 + 1. assign V503894 = V623146 - 1. assign V254184 = V093636 - 1. assign V329333 = V286667 + 1. assign V242233 = V147844 + 1. assign V684106 = V990774 - 1. assign V769951 = V091674 + 1. assign V926035 = V302396 - 1. assign V920873 = V990774 - 1. assign V601395 = V527890 - 1. assign V641689 = V522450. assign V614449 = V458804 + 1. assign V619858 = V304478 + 1. assign V204419 = V681048. assign V820239 = V315910 - 1. assign V341026 = V718268 - 1. assign V819335 = V629785. assign V067012 = V647350 - 1. assign V336970 = V005786 + 1. assign V196979 = V553933 - 1. assign V553933 = V395256 + 1. assign V560588 = V650941 + 1. assign V055824 = V917797 - 1. assign V192519 = V875860. assign V584021 = V842173. assign V029809 = V820937 - 1. assign V084283 = V704322 - 1. assign V932920 = V324305. assign V292746 = V005786. assign V257378 = V097020 - 1. assign V990774 = V272046 + 1. assign V794461 = V376853 + 1. assign V337516 = V794461 - 1. assign V972324 = V324305 + 1. assign V986591 = V823324 - 1. assign V930225 = V304478 + 1. assign V740403 = V647350 + 1. assign V166700 = V459085 + 1. assign V458804 = V543122 - 1. assign V558069 = V965588 + 1. assign V461586 = V809878. assign V387484 = V558069. assign V981919 = V034699. assign V262385 = V857473 + 1. assign V081390 = V067012 + 1. assign V283325 = V091674. assign V530354 = V251288 - 1. assign V071524 = V618354 - 1. assign V672140 = V057634 - 1. assign V101430 = V845879 + 1. assign V740154 = V843565 + 1. assign V442549 = V067000 + 1. assign V554699 = V192519 - 1. assign V886933 = V191887. assign V244352 = V845879 + 1. assign V272046 = V005786. assign V054641 = V728761 + 1. assign V758144 = V272046. assign V641395 = V317773 - 1. assign V097408 = V681048 + 1. assign V587413 = V532215. assign V506003 = V793801. assign V777387 = V920873. assign V025969 = V334817 - 1. assign V268560 = V272046 + 1. assign V575730 = V152902 - 1. assign V863294 = V916558 + 1. assign V042658 = V266006 - 1. assign V024898 = V681048. assign V501670 = V317773. assign V163536 = V302417. assign V647887 = V241917 + 1. assign V097020 = V516635 + 1. assign V700454 = V204419. assign V901705 = V433438 - 1. assign V329011 = V376853 + 1. assign V145513 = V191887. assign V899503 = V112991. assign V434808 = V060276. assign V064821 = V112991 - 1. assign V315910 = V320108. assign V853079 = V596852 + 1. assign V060276 = V136107 + 1. assign V532215 = V907977 + 1. assign V188207 = V971812 - 1. assign V894001 = V167929. assign V812500 = V883873. assign V167929 = V005786 - 1. assign V629785 = V681048 - 1. assign V374755 = V272347. assign V842173 = V199453 - 1. assign V633631 = V853950 - 1. assign V197217 = V329011 + 1. assign V988212 = V932920 - 1. assign V450057 = V920873 - 1. assign V191887 = V324305. assign V012130 = V324305 + 1. assign V124626 = V928215 - 1. assign V135451 = V705848 - 1. assign V363106 = V971812 - 1. assign V907977 = V060276. assign V080873 = V285504 + 1. assign V067920 = V423422 - 1. assign V888513 = V486325 - 1. assign V783160 = V642230 - 1. assign V802585 = V054641 + 1. assign V359697 = V292746 - 1. assign V272347 = V034699. assign V691870 = V212026. assign V681518 = V054641 - 1. assign V112991 = V307847 + 1. assign V374560 = V268560 + 1. assign V822473 = V176906 + 1. assign V924866 = V501670. assign V609624 = V530354 - 1. assign V631726 = V068213 - 1. assign V989752 = V302417 - 1. assign V582727 = V541205 + 1. assign V728761 = V465215. assign V853950 = V267636 - 1. assign V742614 = V010528 + 1. assign V302417 = V220179 + 1. assign V307847 = V395256 - 1. assign V857391 = V177460 + 1. assign V491860 = V057634 - 1. assign V080604 = V700454 - 1. assign V178042 = V395256 + 1. assign V136107 = V263450 - 1. assign V979850 = V434808 + 1. assign V678926 = V861473. assign V943905 = V819335 + 1. assign V329182 = V740154 - 1. assign V501037 = V196979. assign V781739 = V362244 + 1. assign V720253 = V216688 - 1. assign V762376 = V307847 - 1. assign V320108 = V395256 - 1. assign V123444 = V071524 + 1. assign V223381 = V820239 + 1. assign V585699 = V080604. assign V080858 = V584021 + 1. assign V302396 = V681048. assign V820937 = V136107. assign V589190 = V307847 + 1. assign V522450 = V241917. assign V647350 = V220179 - 1. assign V845879 = V893508 + 1. assign V894219 = V475070 + 1. assign V475070 = V883873 - 1. assign V736537 = V461586 - 1. assign V474334 = V326392 - 1. assign V498417 = V558069 + 1. assign V970644 = V740403 + 1. assign V969982 = V329011 - 1. assign V047247 = V095376 + 1. assign V222797 = V097408 + 1. assign V812093 = V369213 + 1. assign V527890 = V529725 - 1. assign V791217 = V641395 + 1. assign V533757 = V331695 + 1. assign V082697 = V197217 - 1. assign V005786 = V263450. assign V442045 = V263450 + 1. assign V861473 = V853079 + 1. assign V705265 = V965588 - 1. assign V955625 = V147844. assign V161500 = V596852 - 1. assign V010528 = V720253. assign V917043 = V251288 + 1. assign V264087 = V705265 - 1. assign V718268 = V054641 - 1. assign V926727 = V670700 - 1. assign V278685 = V003945. assign V304478 = V286667. assign V286667 = V060276 - 1. assign V362244 = V376853. assign V186682 = V341026 + 1. assign V003945 = V647887 + 1. assign V461997 = V199453. assign V423548 = V148090 + 1. assign V486325 = V589190 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV034699 = 8;\n\nFrom these direct assignment(s), we have: \nV272347 = V034699 = 8;\nV374755 = V272347 = 8;\nNo other varaibles can be derived from V374755;\nNo other varaibles can be derived from V272347;\nV981919 = V034699 = 8;\nV270732 = V981919 = 8;\nV362627 = V270732 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V362627;\nNo other varaibles can be derived from V270732;\nNo other varaibles can be derived from V981919;\nV177460 = V034699 - 1 = 8 - 1 =7;\nV857391 = V177460 + 1 = 7 + 1 =8;\nV429716 = V857391 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V429716;\nNo other varaibles can be derived from V857391;\nNo other varaibles can be derived from V177460;\nV482401 = V034699 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V482401;\nNo other varaibles can be derived from V034699;\n\nNow we have done all the calculations. Derived variables are:\nV034699 = 8;\nV272347 = 8;\nV374755 = 8;\nV981919 = 8;\nV270732 = 8;\nV362627 = 9;\nV177460 = 7;\nV857391 = 8;\nV429716 = 9;\nV482401 = 9;\n\nNow we have finished this problem. ANSWER:\nV034699, V272347, V374755, V981919, V270732, V857391\n", "role": "assistant" } ]

[ "V398919", "V600669", "V245844" ]

[ { "content": "<context>\nassign V327689 = V652209 - 1. assign V834559 = V804422. assign V200681 = V785713 - 1. assign V448400 = V382445. assign V372063 = V556419. assign V455890 = V817857 - 1. assign V759626 = V143490 - 1. assign V485967 = V236451 + 1. assign V786912 = V109125 - 1. assign V225236 = V650626 + 1. assign V539642 = V264719. assign V184281 = V436161 + 1. assign V603391 = V508140 - 1. assign V821977 = V085985 + 1. assign V776436 = V022077 + 1. assign V163277 = V857165 + 1. assign V061370 = V794150. assign V233356 = V161757. assign V825186 = 10. assign V565698 = V319949 + 1. assign V743214 = V508140 + 1. assign V613903 = V418503. assign V404948 = V626139. assign V417818 = V184281 - 1. assign V896262 = V804422. assign V540576 = V082197. assign V808544 = V776436 + 1. assign V017614 = V109125 + 1. assign V773460 = V852184. assign V478655 = V999282 - 1. assign V828545 = V784907 - 1. assign V284954 = V085985 - 1. assign V697913 = V665092 - 1. assign V761688 = V225236 - 1. assign V784907 = V558679 - 1. assign V959226 = V082197 + 1. assign V630296 = V231094 + 1. assign V466521 = V362203. assign V109125 = V558679 + 1. assign V651710 = V456835. assign V794150 = V638270. assign V817664 = V773460 + 1. assign V822137 = V040644. assign V319949 = V103634. assign V889404 = V369320 + 1. assign V653599 = V184281 + 1. assign V986044 = V828639 + 1. assign V606733 = V909370 - 1. assign V956732 = V026140 - 1. assign V321099 = V510107 + 1. assign V245844 = V825186 - 1. assign V667919 = V530481. assign V376043 = V075841. assign V403704 = V818827 - 1. assign V218166 = V451918. assign V669486 = V568038 - 1. assign V789655 = V144453 - 1. assign V894927 = V688394 - 1. assign V943102 = V875985. assign V130086 = V284954 - 1. assign V509836 = V757416 + 1. assign V857165 = V956732. assign V034356 = V688364 - 1. assign V493223 = V075841 - 1. assign V382445 = V550841 - 1. assign V101410 = V007048. assign V264491 = V936277 - 1. assign V692616 = V951186 + 1. assign V140482 = V002040. assign V395185 = V818827 - 1. assign V372983 = V638270. assign V264719 = V669224 - 1. assign V846299 = V011739 - 1. assign V456835 = V854217 + 1. assign V472374 = V560501. assign V408524 = V776436 + 1. assign V492388 = V327689 + 1. assign V143490 = V254445 - 1. assign V042697 = V833166 - 1. assign V398919 = V825186 - 1. assign V969491 = V485967 - 1. assign V108245 = V254445. assign V462052 = V817857 + 1. assign V086546 = V665128 + 1. assign V298675 = V509836 - 1. assign V241247 = V886778 + 1. assign V866397 = V568781 - 1. assign V951186 = V550841 - 1. assign V988322 = V672509 - 1. assign V243180 = V325138 - 1. assign V215472 = V626139. assign V201654 = V456835. assign V951779 = V451918 + 1. assign V306581 = V140482. assign V441704 = V368412. assign V692276 = V964541. assign V781939 = V779550. assign V063672 = V144453 + 1. assign V650401 = V101410 - 1. assign V337736 = V362203 + 1. assign V543011 = V541431 - 1. assign V113320 = V857165 - 1. assign V629579 = V786912 + 1. assign V309347 = V436161 - 1. assign V726545 = V309347 - 1. assign V261915 = V861904 - 1. assign V875985 = V404948 - 1. assign V519735 = V466521. assign V486561 = V828339 - 1. assign V422127 = V969239 - 1. assign V151385 = V629579 + 1. assign V930932 = V485778 + 1. assign V184776 = V629579 + 1. assign V186431 = V332054 + 1. assign V682396 = V550841 - 1. assign V500146 = V896017 + 1. assign V872662 = V264719 + 1. assign V144453 = V049565 + 1. assign V923527 = V785713 + 1. assign V579345 = V493223 + 1. assign V960474 = V354578. assign V817857 = V011739. assign V541431 = V421336. assign V254445 = V007048 - 1. assign V258295 = V833166. assign V648761 = V254445 - 1. assign V748630 = V931219 + 1. assign V461792 = V109125 + 1. assign V179044 = V651710 + 1. assign V861904 = V896262 - 1. assign V327577 = V327689 + 1. assign V977443 = V179044 - 1. assign V437069 = V688364 + 1. assign V909370 = V464764 - 1. assign V600379 = V424057 + 1. assign V231094 = V495017 - 1. assign V785058 = V052005 - 1. assign V007048 = V958694 + 1. assign V103634 = V456835. assign V444320 = V999282 - 1. assign V002040 = V493223. assign V688364 = V113320 - 1. assign V383266 = V568781 - 1. assign V368341 = V558679 + 1. assign V764164 = V515333 + 1. assign V906694 = V004351 - 1. assign V296246 = V492388 + 1. assign V431250 = V818827 - 1. assign V223620 = V102816. assign V690361 = V082197 - 1. assign V896017 = V372983 - 1. assign V415369 = V034356 + 1. assign V425301 = V455795 + 1. assign V951954 = V817857. assign V349885 = V223620 - 1. assign V600669 = V258295 + 1. assign V797597 = V398919 - 1. assign V868072 = V392042 + 1. assign V362203 = V886778 + 1. assign V377483 = V657680. assign V854217 = V558679. assign V515333 = V852184 - 1. assign V049565 = V804422. assign V688394 = V456835 + 1. assign V464764 = V192299. assign V718090 = V485778 - 1. assign V785713 = V951954. assign V568781 = V667919 + 1. assign V192299 = V651710. assign V958694 = V085985 - 1. assign V259533 = V611660. assign V638270 = V999282 - 1. assign V082197 = V205059 + 1. assign V806184 = V216540. assign V886778 = V508140 - 1. assign V741841 = V794150 - 1. assign V343818 = V565698 - 1. assign V455795 = V515333 + 1. assign V554869 = V109125. assign V436161 = V626139 - 1. assign V828639 = V085985. assign V936277 = V468426 - 1. assign V786451 = V085985 - 1. assign V775109 = V108245. assign V063956 = V017614 - 1. assign V088488 = V503565 + 1. assign V332054 = V872662 + 1. assign V325138 = V672509 - 1. assign V102816 = V757416 + 1. assign V450248 = V082197 + 1. assign V888505 = V757416. assign V508140 = V958359. assign V394182 = V969239 + 1. assign V401504 = V372983 - 1. assign V842738 = V372063 - 1. assign V451918 = V999282. assign V969239 = V688394 + 1. assign V297260 = V418503 + 1. assign V627866 = V603391. assign V818827 = V478655 - 1. assign V540357 = V472374. assign V804422 = V530481 - 1. assign V168956 = V108245 + 1. assign V323300 = V984581 + 1. assign V902243 = V417818 + 1. assign V000229 = V264719 - 1. assign V096354 = V688394 - 1. assign V205059 = V560501 - 1. assign V074544 = V852184 + 1. assign V982177 = V611660. assign V485778 = V011739. assign V392042 = V317577. assign V236451 = V741841 + 1. assign V771349 = V560501 - 1. assign V984581 = V804422 + 1. assign V828339 = V956732 + 1. assign V963828 = V451918 - 1. assign V195084 = V485778. assign V161757 = V652209 + 1. assign V259150 = V659512. assign V514009 = V558679. assign V317577 = V264719 + 1. assign V473764 = V417818. assign V022077 = V556419. assign V894817 = V741841. assign V303449 = V894817. assign V938045 = V485778 - 1. assign V664230 = V857165 - 1. assign V215671 = V958694 + 1. assign V674603 = V151385. assign V186465 = V830406. assign V950767 = V102816 + 1. assign V067842 = V938045 + 1. assign V659512 = V215472 + 1. assign V418503 = V958694 - 1. assign V669224 = V560501. assign V530481 = V451918 - 1. assign V352333 = V988322. assign V054663 = V572065 - 1. assign V931219 = V025095 - 1. assign V075841 = V325138 - 1. assign V394081 = V259533. assign V672509 = V456835 - 1. assign V591264 = V309347. assign V683161 = V259533. assign V673379 = V652209 - 1. assign V946651 = V492388. assign V779550 = V451918. assign V657680 = V611660 - 1. assign V328289 = V692616 - 1. assign V012837 = V317577 + 1. assign V637885 = V776436. assign V852572 = V936277 - 1. assign V550841 = V629579 + 1. assign V036022 = V674603. assign V568038 = V936277 + 1. assign V243891 = V938045 - 1. assign V102309 = V011739 - 1. assign V441191 = V049565 + 1. assign V217506 = V403704 - 1. assign V423579 = V508140. assign V064275 = V923527 + 1. assign V052005 = V200681 + 1. assign V816836 = V828339 + 1. assign V804951 = V036022 - 1. assign V294254 = V327689 + 1. assign V001535 = V026140 - 1. assign V617861 = V332054. assign V510107 = V958359. assign V004351 = V503565 + 1. assign V915439 = V519735. assign V958359 = V846299. assign V482876 = V818827 - 1. assign V065935 = V102309. assign V676242 = V804422 + 1. assign V830406 = V565698. assign V612243 = V510107 + 1. assign V871704 = V369320 + 1. assign V731724 = V510107 + 1. assign V189561 = V969239 - 1. assign V688019 = V757416 - 1. assign V652197 = V757416. assign V780138 = V789655 + 1. assign V354578 = V017614. assign V534555 = V881459 + 1. assign V650626 = V049565 + 1. assign V468426 = V931219 - 1. assign V744443 = V473764 + 1. assign V302048 = V235128 + 1. assign V017463 = V688364 + 1. assign V176865 = V508140 - 1. assign V878514 = V441704 - 1. assign V964541 = V642372 - 1. assign V088150 = V816836. assign V216540 = V186431 + 1. assign V026140 = V560501 + 1. assign V421336 = V999282. assign V112649 = V394182 - 1. assign V505769 = V382445 - 1. assign V179170 = V261915 + 1. assign V825111 = V600669 - 1. assign V902935 = V669224 + 1. assign V099596 = V437069 - 1. assign V034533 = V096354 - 1. assign V281059 = V627866. assign V560501 = V846299 + 1. assign V852184 = V085985 + 1. assign V611660 = V404948 + 1. assign V268561 = V064275 + 1. assign V085985 = V011739. assign V665092 = V931219 + 1. assign V011449 = V759626. assign V752380 = V235128 + 1. assign V572065 = V613903. assign V025095 = V026140 + 1. assign V128036 = V354578. assign V235128 = V682396 + 1. assign V999282 = V757416. assign V749311 = V217506. assign V217527 = V109125 - 1. assign V783722 = V665128 - 1. assign V885488 = V560501 - 1. assign V219483 = V508140 + 1. assign V424057 = V999282. assign V369320 = V215671. assign V652209 = V999282 + 1. assign V890657 = V902243 - 1. assign V996850 = V372063 + 1. assign V938466 = V217527. assign V345155 = V509836. assign V642742 = V398919 + 1. assign V881459 = V950767 - 1. assign V527126 = V852184 + 1. assign V368412 = V579345 + 1. assign V642372 = V343818. assign V250596 = V383266 - 1. assign V040644 = V651710 - 1. assign V495017 = V958359 - 1. assign V626139 = V431250. assign V473197 = V808544 + 1. assign V801741 = V642372 - 1. assign V786845 = V743214. assign V665128 = V026140 - 1. assign V331585 = V075841. assign V757416 = V011739 - 1. assign V503565 = V085985 + 1. assign V325553 = V816836 - 1. assign V556419 = V958694 + 1. assign V833166 = V398919 - 1. assign V558679 = V757416. assign V903053 = V011739.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V327689 = V652209 - 1. assign V834559 = V804422. assign V200681 = V785713 - 1. assign V448400 = V382445. assign V372063 = V556419. assign V455890 = V817857 - 1. assign V759626 = V143490 - 1. assign V485967 = V236451 + 1. assign V786912 = V109125 - 1. assign V225236 = V650626 + 1. assign V539642 = V264719. assign V184281 = V436161 + 1. assign V603391 = V508140 - 1. assign V821977 = V085985 + 1. assign V776436 = V022077 + 1. assign V163277 = V857165 + 1. assign V061370 = V794150. assign V233356 = V161757. assign V825186 = 10. assign V565698 = V319949 + 1. assign V743214 = V508140 + 1. assign V613903 = V418503. assign V404948 = V626139. assign V417818 = V184281 - 1. assign V896262 = V804422. assign V540576 = V082197. assign V808544 = V776436 + 1. assign V017614 = V109125 + 1. assign V773460 = V852184. assign V478655 = V999282 - 1. assign V828545 = V784907 - 1. assign V284954 = V085985 - 1. assign V697913 = V665092 - 1. assign V761688 = V225236 - 1. assign V784907 = V558679 - 1. assign V959226 = V082197 + 1. assign V630296 = V231094 + 1. assign V466521 = V362203. assign V109125 = V558679 + 1. assign V651710 = V456835. assign V794150 = V638270. assign V817664 = V773460 + 1. assign V822137 = V040644. assign V319949 = V103634. assign V889404 = V369320 + 1. assign V653599 = V184281 + 1. assign V986044 = V828639 + 1. assign V606733 = V909370 - 1. assign V956732 = V026140 - 1. assign V321099 = V510107 + 1. assign V245844 = V825186 - 1. assign V667919 = V530481. assign V376043 = V075841. assign V403704 = V818827 - 1. assign V218166 = V451918. assign V669486 = V568038 - 1. assign V789655 = V144453 - 1. assign V894927 = V688394 - 1. assign V943102 = V875985. assign V130086 = V284954 - 1. assign V509836 = V757416 + 1. assign V857165 = V956732. assign V034356 = V688364 - 1. assign V493223 = V075841 - 1. assign V382445 = V550841 - 1. assign V101410 = V007048. assign V264491 = V936277 - 1. assign V692616 = V951186 + 1. assign V140482 = V002040. assign V395185 = V818827 - 1. assign V372983 = V638270. assign V264719 = V669224 - 1. assign V846299 = V011739 - 1. assign V456835 = V854217 + 1. assign V472374 = V560501. assign V408524 = V776436 + 1. assign V492388 = V327689 + 1. assign V143490 = V254445 - 1. assign V042697 = V833166 - 1. assign V398919 = V825186 - 1. assign V969491 = V485967 - 1. assign V108245 = V254445. assign V462052 = V817857 + 1. assign V086546 = V665128 + 1. assign V298675 = V509836 - 1. assign V241247 = V886778 + 1. assign V866397 = V568781 - 1. assign V951186 = V550841 - 1. assign V988322 = V672509 - 1. assign V243180 = V325138 - 1. assign V215472 = V626139. assign V201654 = V456835. assign V951779 = V451918 + 1. assign V306581 = V140482. assign V441704 = V368412. assign V692276 = V964541. assign V781939 = V779550. assign V063672 = V144453 + 1. assign V650401 = V101410 - 1. assign V337736 = V362203 + 1. assign V543011 = V541431 - 1. assign V113320 = V857165 - 1. assign V629579 = V786912 + 1. assign V309347 = V436161 - 1. assign V726545 = V309347 - 1. assign V261915 = V861904 - 1. assign V875985 = V404948 - 1. assign V519735 = V466521. assign V486561 = V828339 - 1. assign V422127 = V969239 - 1. assign V151385 = V629579 + 1. assign V930932 = V485778 + 1. assign V184776 = V629579 + 1. assign V186431 = V332054 + 1. assign V682396 = V550841 - 1. assign V500146 = V896017 + 1. assign V872662 = V264719 + 1. assign V144453 = V049565 + 1. assign V923527 = V785713 + 1. assign V579345 = V493223 + 1. assign V960474 = V354578. assign V817857 = V011739. assign V541431 = V421336. assign V254445 = V007048 - 1. assign V258295 = V833166. assign V648761 = V254445 - 1. assign V748630 = V931219 + 1. assign V461792 = V109125 + 1. assign V179044 = V651710 + 1. assign V861904 = V896262 - 1. assign V327577 = V327689 + 1. assign V977443 = V179044 - 1. assign V437069 = V688364 + 1. assign V909370 = V464764 - 1. assign V600379 = V424057 + 1. assign V231094 = V495017 - 1. assign V785058 = V052005 - 1. assign V007048 = V958694 + 1. assign V103634 = V456835. assign V444320 = V999282 - 1. assign V002040 = V493223. assign V688364 = V113320 - 1. assign V383266 = V568781 - 1. assign V368341 = V558679 + 1. assign V764164 = V515333 + 1. assign V906694 = V004351 - 1. assign V296246 = V492388 + 1. assign V431250 = V818827 - 1. assign V223620 = V102816. assign V690361 = V082197 - 1. assign V896017 = V372983 - 1. assign V415369 = V034356 + 1. assign V425301 = V455795 + 1. assign V951954 = V817857. assign V349885 = V223620 - 1. assign V600669 = V258295 + 1. assign V797597 = V398919 - 1. assign V868072 = V392042 + 1. assign V362203 = V886778 + 1. assign V377483 = V657680. assign V854217 = V558679. assign V515333 = V852184 - 1. assign V049565 = V804422. assign V688394 = V456835 + 1. assign V464764 = V192299. assign V718090 = V485778 - 1. assign V785713 = V951954. assign V568781 = V667919 + 1. assign V192299 = V651710. assign V958694 = V085985 - 1. assign V259533 = V611660. assign V638270 = V999282 - 1. assign V082197 = V205059 + 1. assign V806184 = V216540. assign V886778 = V508140 - 1. assign V741841 = V794150 - 1. assign V343818 = V565698 - 1. assign V455795 = V515333 + 1. assign V554869 = V109125. assign V436161 = V626139 - 1. assign V828639 = V085985. assign V936277 = V468426 - 1. assign V786451 = V085985 - 1. assign V775109 = V108245. assign V063956 = V017614 - 1. assign V088488 = V503565 + 1. assign V332054 = V872662 + 1. assign V325138 = V672509 - 1. assign V102816 = V757416 + 1. assign V450248 = V082197 + 1. assign V888505 = V757416. assign V508140 = V958359. assign V394182 = V969239 + 1. assign V401504 = V372983 - 1. assign V842738 = V372063 - 1. assign V451918 = V999282. assign V969239 = V688394 + 1. assign V297260 = V418503 + 1. assign V627866 = V603391. assign V818827 = V478655 - 1. assign V540357 = V472374. assign V804422 = V530481 - 1. assign V168956 = V108245 + 1. assign V323300 = V984581 + 1. assign V902243 = V417818 + 1. assign V000229 = V264719 - 1. assign V096354 = V688394 - 1. assign V205059 = V560501 - 1. assign V074544 = V852184 + 1. assign V982177 = V611660. assign V485778 = V011739. assign V392042 = V317577. assign V236451 = V741841 + 1. assign V771349 = V560501 - 1. assign V984581 = V804422 + 1. assign V828339 = V956732 + 1. assign V963828 = V451918 - 1. assign V195084 = V485778. assign V161757 = V652209 + 1. assign V259150 = V659512. assign V514009 = V558679. assign V317577 = V264719 + 1. assign V473764 = V417818. assign V022077 = V556419. assign V894817 = V741841. assign V303449 = V894817. assign V938045 = V485778 - 1. assign V664230 = V857165 - 1. assign V215671 = V958694 + 1. assign V674603 = V151385. assign V186465 = V830406. assign V950767 = V102816 + 1. assign V067842 = V938045 + 1. assign V659512 = V215472 + 1. assign V418503 = V958694 - 1. assign V669224 = V560501. assign V530481 = V451918 - 1. assign V352333 = V988322. assign V054663 = V572065 - 1. assign V931219 = V025095 - 1. assign V075841 = V325138 - 1. assign V394081 = V259533. assign V672509 = V456835 - 1. assign V591264 = V309347. assign V683161 = V259533. assign V673379 = V652209 - 1. assign V946651 = V492388. assign V779550 = V451918. assign V657680 = V611660 - 1. assign V328289 = V692616 - 1. assign V012837 = V317577 + 1. assign V637885 = V776436. assign V852572 = V936277 - 1. assign V550841 = V629579 + 1. assign V036022 = V674603. assign V568038 = V936277 + 1. assign V243891 = V938045 - 1. assign V102309 = V011739 - 1. assign V441191 = V049565 + 1. assign V217506 = V403704 - 1. assign V423579 = V508140. assign V064275 = V923527 + 1. assign V052005 = V200681 + 1. assign V816836 = V828339 + 1. assign V804951 = V036022 - 1. assign V294254 = V327689 + 1. assign V001535 = V026140 - 1. assign V617861 = V332054. assign V510107 = V958359. assign V004351 = V503565 + 1. assign V915439 = V519735. assign V958359 = V846299. assign V482876 = V818827 - 1. assign V065935 = V102309. assign V676242 = V804422 + 1. assign V830406 = V565698. assign V612243 = V510107 + 1. assign V871704 = V369320 + 1. assign V731724 = V510107 + 1. assign V189561 = V969239 - 1. assign V688019 = V757416 - 1. assign V652197 = V757416. assign V780138 = V789655 + 1. assign V354578 = V017614. assign V534555 = V881459 + 1. assign V650626 = V049565 + 1. assign V468426 = V931219 - 1. assign V744443 = V473764 + 1. assign V302048 = V235128 + 1. assign V017463 = V688364 + 1. assign V176865 = V508140 - 1. assign V878514 = V441704 - 1. assign V964541 = V642372 - 1. assign V088150 = V816836. assign V216540 = V186431 + 1. assign V026140 = V560501 + 1. assign V421336 = V999282. assign V112649 = V394182 - 1. assign V505769 = V382445 - 1. assign V179170 = V261915 + 1. assign V825111 = V600669 - 1. assign V902935 = V669224 + 1. assign V099596 = V437069 - 1. assign V034533 = V096354 - 1. assign V281059 = V627866. assign V560501 = V846299 + 1. assign V852184 = V085985 + 1. assign V611660 = V404948 + 1. assign V268561 = V064275 + 1. assign V085985 = V011739. assign V665092 = V931219 + 1. assign V011449 = V759626. assign V752380 = V235128 + 1. assign V572065 = V613903. assign V025095 = V026140 + 1. assign V128036 = V354578. assign V235128 = V682396 + 1. assign V999282 = V757416. assign V749311 = V217506. assign V217527 = V109125 - 1. assign V783722 = V665128 - 1. assign V885488 = V560501 - 1. assign V219483 = V508140 + 1. assign V424057 = V999282. assign V369320 = V215671. assign V652209 = V999282 + 1. assign V890657 = V902243 - 1. assign V996850 = V372063 + 1. assign V938466 = V217527. assign V345155 = V509836. assign V642742 = V398919 + 1. assign V881459 = V950767 - 1. assign V527126 = V852184 + 1. assign V368412 = V579345 + 1. assign V642372 = V343818. assign V250596 = V383266 - 1. assign V040644 = V651710 - 1. assign V495017 = V958359 - 1. assign V626139 = V431250. assign V473197 = V808544 + 1. assign V801741 = V642372 - 1. assign V786845 = V743214. assign V665128 = V026140 - 1. assign V331585 = V075841. assign V757416 = V011739 - 1. assign V503565 = V085985 + 1. assign V325553 = V816836 - 1. assign V556419 = V958694 + 1. assign V833166 = V398919 - 1. assign V558679 = V757416. assign V903053 = V011739.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV825186 = 10;\n\nFrom these direct assignment(s), we have: \nV398919 = V825186 - 1 = 10 - 1 =9;\nV833166 = V398919 - 1 = 9 - 1 =8;\nV258295 = V833166 = 8;\nV600669 = V258295 + 1 = 8 + 1 =9;\nV825111 = V600669 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V825111;\nNo other varaibles can be derived from V600669;\nNo other varaibles can be derived from V258295;\nV042697 = V833166 - 1 = 8 - 1 =7;\nNo other varaibles can be derived from V042697;\nNo other varaibles can be derived from V833166;\nV642742 = V398919 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V642742;\nV797597 = V398919 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V797597;\nNo other varaibles can be derived from V398919;\nV245844 = V825186 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V245844;\nNo other varaibles can be derived from V825186;\n\nNow we have done all the calculations. Derived variables are:\nV825186 = 10;\nV398919 = 9;\nV833166 = 8;\nV258295 = 8;\nV600669 = 9;\nV825111 = 8;\nV042697 = 7;\nV642742 = 10;\nV797597 = 8;\nV245844 = 9;\n\nNow we have finished this problem. ANSWER:\nV398919, V600669, V245844\n", "role": "assistant" } ]

[ "V046464", "V561601", "V266151", "V987264" ]

[ { "content": "<context>\nassign V664203 = V283252. assign V444651 = V786781. assign V466486 = V158852 - 1. assign V614067 = V695971. assign V879104 = V793931. assign V377394 = V124520. assign V812108 = V402001 - 1. assign V283252 = V012111 + 1. assign V936427 = V884449 - 1. assign V364525 = V952269. assign V032321 = V765431 + 1. assign V495364 = V488859 - 1. assign V369660 = V844230 - 1. assign V162504 = V454282 - 1. assign V178823 = V033357 + 1. assign V615538 = V879104 + 1. assign V031703 = V952269. assign V941847 = V035172 - 1. assign V300026 = V870253. assign V135235 = V755533. assign V704276 = V849647. assign V784813 = V351468 - 1. assign V239989 = V093891. assign V710325 = V603313 + 1. assign V151553 = V363597 + 1. assign V158852 = V726506 + 1. assign V785593 = V574142. assign V695971 = V376494. assign V671840 = V249214. assign V691845 = V801339 - 1. assign V642609 = V289682 - 1. assign V672572 = V825735 - 1. assign V151326 = V317893. assign V895389 = V793931 + 1. assign V949247 = V879104. assign V586956 = V466486. assign V246205 = V015926 - 1. assign V996103 = V567293 + 1. assign V149259 = V810211 - 1. assign V160362 = V566514 + 1. assign V085393 = V282418 + 1. assign V203249 = V691845. assign V863904 = V015926 + 1. assign V060314 = V216104 + 1. assign V217334 = V843791 + 1. assign V408831 = V177202. assign V035172 = V592321. assign V707794 = V639986 - 1. assign V265471 = V377486 + 1. assign V392713 = V124520. assign V432761 = V414655 + 1. assign V204468 = V184719 - 1. assign V357894 = V765431. assign V350140 = V728709 - 1. assign V314217 = V566514 - 1. assign V390864 = V320057 + 1. assign V336239 = V867310 + 1. assign V094728 = V491333. assign V206456 = V671840 + 1. assign V489900 = V413820 + 1. assign V527820 = V641585 - 1. assign V366068 = V303199. assign V503071 = V186659 + 1. assign V463352 = V491333 + 1. assign V883141 = V810211 + 1. assign V472981 = V491333 - 1. assign V954926 = V099707 + 1. assign V422638 = V050627 - 1. assign V017439 = V785593 + 1. assign V756105 = V603313. assign V368849 = V790149. assign V694966 = V149553. assign V801339 = V491333 - 1. assign V167488 = V799267 - 1. assign V086977 = V604348. assign V258495 = V459823. assign V870253 = V023494 - 1. assign V880720 = V215340 + 1. assign V260038 = V229468. assign V348020 = V693792 - 1. assign V795882 = V793931. assign V050499 = V158852 - 1. assign V303199 = V300026. assign V932238 = V086977 + 1. assign V726506 = V421280 + 1. assign V810211 = V007278. assign V096870 = V909808 - 1. assign V068839 = V007689 - 1. assign V782644 = V949247 - 1. assign V591743 = V211331 - 1. assign V402001 = V292131 + 1. assign V534398 = V357894 + 1. assign V898881 = V693792. assign V721469 = V691845 - 1. assign V786781 = V050627 + 1. assign V017800 = V215340 - 1. assign V345054 = V258495. assign V288668 = V412745 - 1. assign V199741 = V936427 - 1. assign V229468 = V072534. assign V739042 = V488859 + 1. assign V952269 = V704276 + 1. assign V236264 = V915916 - 1. assign V803568 = V715654 - 1. assign V081436 = V592321 - 1. assign V217736 = V654507 - 1. assign V081556 = V348020 - 1. assign V606737 = V015926. assign V513626 = V353680. assign V015926 = V693792 - 1. assign V554073 = V726506. assign V099176 = V603094 + 1. assign V823223 = V423182. assign V504448 = V911280 + 1. assign V555604 = V615538 + 1. assign V771183 = V586956 - 1. assign V507475 = V832898 - 1. assign V670290 = V430388 + 1. assign V216870 = V755533. assign V417707 = V870253 + 1. assign V453114 = V417707 + 1. assign V834583 = V755533 - 1. assign V177202 = V483951 - 1. assign V735099 = V756105 + 1. assign V119931 = V266735 - 1. assign V014256 = V099176 + 1. assign V421280 = V603094 + 1. assign V292131 = V603094 - 1. assign V198184 = V497413. assign V574142 = V216104 + 1. assign V753412 = V561601 + 1. assign V092422 = V642609. assign V149553 = V603313. assign V765431 = V007278 + 1. assign V844338 = V158852 - 1. assign V728709 = V239989 + 1. assign V709641 = V810211. assign V324035 = V699581. assign V673410 = V031522 - 1. assign V310714 = V430388 + 1. assign V483951 = V324035 + 1. assign V401659 = V482542 - 1. assign V666069 = V368462 - 1. assign V278924 = V169199 - 1. assign V159028 = V015926. assign V320057 = V801339. assign V054274 = V885894. assign V793931 = V368462 - 1. assign V189325 = V289682 - 1. assign V407042 = V949247 + 1. assign V885860 = V031522. assign V561601 = V962592 - 1. assign V648059 = V885860 - 1. assign V266735 = V236264 - 1. assign V822824 = V870253 + 1. assign V547299 = V289682 - 1. assign V867310 = V592321 + 1. assign V491333 = V793931 - 1. assign V740911 = V606737. assign V430388 = V345185. assign V987264 = V266151. assign V925022 = V732071 + 1. assign V488859 = V849647. assign V317893 = V357894 + 1. assign V345185 = V704276 + 1. assign V687017 = V885894 - 1. assign V473002 = V765431 - 1. assign V023494 = V898881 + 1. assign V149569 = V756105 - 1. assign V566514 = V289682 + 1. assign V600567 = V297846 + 1. assign V693792 = V704276 + 1. assign V593816 = V324035. assign V077665 = V488859 + 1. assign V387800 = V944373. assign V855636 = V149569. assign V052821 = V527820 + 1. assign V071900 = V387800. assign V884449 = V849647. assign V886635 = V672572 + 1. assign V135642 = V485539. assign V832898 = V936427 - 1. assign V289682 = V368462 - 1. assign V882734 = V765431. assign V825735 = V353680 - 1. assign V236553 = V559298 - 1. assign V899640 = V023494 + 1. assign V654507 = V915916. assign V592103 = V911280 + 1. assign V218214 = V199613 + 1. assign V592321 = V849647 + 1. assign V282418 = V324035 + 1. assign V849647 = V793931 + 1. assign V099707 = V124520 + 1. assign V734407 = V728952. assign V046464 = V962592 - 1. assign V675132 = V292131 - 1. assign V520354 = V229468 - 1. assign V363597 = V566514 - 1. assign V351468 = V546609 + 1. assign V962068 = V336239. assign V647849 = V265471. assign V297846 = V491333. assign V080159 = V641585 + 1. assign V603094 = V641585. assign V031522 = V297846 - 1. assign V266151 = V247404 - 1. assign V395343 = V380920 + 1. assign V409189 = V215340 + 1. assign V974570 = V882734 - 1. assign V300182 = V885860. assign V007278 = V879104. assign V353680 = V216104. assign V497413 = V566514. assign V755533 = V915916. assign V109227 = V119931 - 1. assign V216104 = V793931. assign V910189 = V454282. assign V975289 = V324035 + 1. assign V909808 = V867310 - 1. assign V790149 = V755533. assign V414655 = V898881 - 1. assign V372603 = V357894 + 1. assign V416619 = V647849 + 1. assign V600325 = V735099 + 1. assign V380920 = V884449 - 1. assign V530110 = V949247. assign V093891 = V292131 - 1. assign V053097 = V035658. assign V601956 = V292131 + 1. assign V021611 = V289682. assign V915916 = V879104 - 1. assign V978055 = V603094. assign V786028 = V125210 + 1. assign V169199 = V866941 - 1. assign V833717 = V760969 + 1. assign V125210 = V392833. assign V423182 = V879104 + 1. assign V307975 = V288668 - 1. assign V423471 = V710325 - 1. assign V557002 = V753412 + 1. assign V946958 = V765431 - 1. assign V317565 = V822824. assign V377486 = V895389. assign V341703 = V699581. assign V791863 = V885860 + 1. assign V392938 = V491333. assign V387943 = V693792 - 1. assign V661496 = V801339 + 1. assign V302117 = V099176. assign V728952 = V453114. assign V349500 = V317565 - 1. assign V071079 = V546609 - 1. assign V193426 = V282418 + 1. assign V931405 = V843791. assign V757977 = V603313. assign V715139 = V193426 - 1. assign V760969 = V700353. assign V200272 = V559298. assign V700353 = V527820 - 1. assign V136441 = V482542 - 1. assign V639986 = V710325 - 1. assign V815488 = V317565 + 1. assign V702568 = V052821 - 1. assign V199690 = V941847 - 1. assign V287350 = V699581 - 1. assign V308455 = V895389 - 1. assign V277108 = V603313 + 1. assign V973599 = V849647 + 1. assign V033357 = V488859 + 1. assign V335022 = V870253 + 1. assign V962592 = 4. assign V575860 = V795882. assign V715654 = V077665 + 1. assign V866941 = V647849. assign V604348 = V080159 - 1. assign V000499 = V559298. assign V392833 = V211331 - 1. assign V454282 = V282416. assign V630046 = V546609. assign V903350 = V601956 + 1. assign V956998 = V292131 - 1. assign V020170 = V550637 + 1. assign V215340 = V216104. assign V025548 = V266735 - 1. assign V266212 = V879104 + 1. assign V365835 = V962592 + 1. assign V514769 = V387800 - 1. assign V282416 = V949247 + 1. assign V841540 = V575860 + 1. assign V067157 = V603313 - 1. assign V459823 = V601956 + 1. assign V302992 = V081436. assign V454111 = V421280 - 1. assign V328111 = V735099 - 1. assign V461274 = V592103 - 1. assign V032624 = V414655. assign V124520 = V863904 - 1. assign V843791 = V606737 - 1. assign V035658 = V328111 + 1. assign V373833 = V282418 - 1. assign V885894 = V491333 + 1. assign V559395 = V721469 - 1. assign V012111 = V387943. assign V419620 = V266151 - 1. assign V331377 = V424965 - 1. assign V603313 = V801339 - 1. assign V550637 = V849647 - 1. assign V482542 = V559395. assign V413820 = V351468 - 1. assign V944373 = V402001 - 1. assign V376494 = V710325. assign V567293 = V421280 - 1. assign V424965 = V726506. assign V765463 = V015926 - 1. assign V844230 = V495364. assign V244958 = V454111. assign V641585 = V488859 - 1. assign V217496 = V193426 + 1. assign V699581 = V566514 + 1. assign V474362 = V320057. assign V219587 = V801339 + 1. assign V799267 = V504448. assign V911280 = V895389 - 1. assign V249214 = V879104. assign V186659 = V704276 + 1. assign V586256 = V822824 + 1. assign V686003 = V017800 - 1. assign V212059 = V348020. assign V485539 = V031522. assign V199613 = V297846. assign V275347 = V368462 + 1. assign V086589 = V495364 + 1. assign V897110 = V119931 + 1. assign V546609 = V867310. assign V412745 = V899640. assign V559298 = V603313 + 1. assign V856931 = V586956 + 1. assign V131387 = V007278 - 1. assign V052444 = V162504. assign V211331 = V885860 - 1. assign V302962 = V574142 - 1. assign V072534 = V289682 + 1. assign V050627 = V266735. assign V668611 = V856931. assign V247404 = V046464 + 1. assign V617592 = V239989 + 1. assign V007689 = V488859 - 1. assign V184719 = V915916. assign V732071 = V482542 + 1. assign V222666 = V080159 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V664203 = V283252. assign V444651 = V786781. assign V466486 = V158852 - 1. assign V614067 = V695971. assign V879104 = V793931. assign V377394 = V124520. assign V812108 = V402001 - 1. assign V283252 = V012111 + 1. assign V936427 = V884449 - 1. assign V364525 = V952269. assign V032321 = V765431 + 1. assign V495364 = V488859 - 1. assign V369660 = V844230 - 1. assign V162504 = V454282 - 1. assign V178823 = V033357 + 1. assign V615538 = V879104 + 1. assign V031703 = V952269. assign V941847 = V035172 - 1. assign V300026 = V870253. assign V135235 = V755533. assign V704276 = V849647. assign V784813 = V351468 - 1. assign V239989 = V093891. assign V710325 = V603313 + 1. assign V151553 = V363597 + 1. assign V158852 = V726506 + 1. assign V785593 = V574142. assign V695971 = V376494. assign V671840 = V249214. assign V691845 = V801339 - 1. assign V642609 = V289682 - 1. assign V672572 = V825735 - 1. assign V151326 = V317893. assign V895389 = V793931 + 1. assign V949247 = V879104. assign V586956 = V466486. assign V246205 = V015926 - 1. assign V996103 = V567293 + 1. assign V149259 = V810211 - 1. assign V160362 = V566514 + 1. assign V085393 = V282418 + 1. assign V203249 = V691845. assign V863904 = V015926 + 1. assign V060314 = V216104 + 1. assign V217334 = V843791 + 1. assign V408831 = V177202. assign V035172 = V592321. assign V707794 = V639986 - 1. assign V265471 = V377486 + 1. assign V392713 = V124520. assign V432761 = V414655 + 1. assign V204468 = V184719 - 1. assign V357894 = V765431. assign V350140 = V728709 - 1. assign V314217 = V566514 - 1. assign V390864 = V320057 + 1. assign V336239 = V867310 + 1. assign V094728 = V491333. assign V206456 = V671840 + 1. assign V489900 = V413820 + 1. assign V527820 = V641585 - 1. assign V366068 = V303199. assign V503071 = V186659 + 1. assign V463352 = V491333 + 1. assign V883141 = V810211 + 1. assign V472981 = V491333 - 1. assign V954926 = V099707 + 1. assign V422638 = V050627 - 1. assign V017439 = V785593 + 1. assign V756105 = V603313. assign V368849 = V790149. assign V694966 = V149553. assign V801339 = V491333 - 1. assign V167488 = V799267 - 1. assign V086977 = V604348. assign V258495 = V459823. assign V870253 = V023494 - 1. assign V880720 = V215340 + 1. assign V260038 = V229468. assign V348020 = V693792 - 1. assign V795882 = V793931. assign V050499 = V158852 - 1. assign V303199 = V300026. assign V932238 = V086977 + 1. assign V726506 = V421280 + 1. assign V810211 = V007278. assign V096870 = V909808 - 1. assign V068839 = V007689 - 1. assign V782644 = V949247 - 1. assign V591743 = V211331 - 1. assign V402001 = V292131 + 1. assign V534398 = V357894 + 1. assign V898881 = V693792. assign V721469 = V691845 - 1. assign V786781 = V050627 + 1. assign V017800 = V215340 - 1. assign V345054 = V258495. assign V288668 = V412745 - 1. assign V199741 = V936427 - 1. assign V229468 = V072534. assign V739042 = V488859 + 1. assign V952269 = V704276 + 1. assign V236264 = V915916 - 1. assign V803568 = V715654 - 1. assign V081436 = V592321 - 1. assign V217736 = V654507 - 1. assign V081556 = V348020 - 1. assign V606737 = V015926. assign V513626 = V353680. assign V015926 = V693792 - 1. assign V554073 = V726506. assign V099176 = V603094 + 1. assign V823223 = V423182. assign V504448 = V911280 + 1. assign V555604 = V615538 + 1. assign V771183 = V586956 - 1. assign V507475 = V832898 - 1. assign V670290 = V430388 + 1. assign V216870 = V755533. assign V417707 = V870253 + 1. assign V453114 = V417707 + 1. assign V834583 = V755533 - 1. assign V177202 = V483951 - 1. assign V735099 = V756105 + 1. assign V119931 = V266735 - 1. assign V014256 = V099176 + 1. assign V421280 = V603094 + 1. assign V292131 = V603094 - 1. assign V198184 = V497413. assign V574142 = V216104 + 1. assign V753412 = V561601 + 1. assign V092422 = V642609. assign V149553 = V603313. assign V765431 = V007278 + 1. assign V844338 = V158852 - 1. assign V728709 = V239989 + 1. assign V709641 = V810211. assign V324035 = V699581. assign V673410 = V031522 - 1. assign V310714 = V430388 + 1. assign V483951 = V324035 + 1. assign V401659 = V482542 - 1. assign V666069 = V368462 - 1. assign V278924 = V169199 - 1. assign V159028 = V015926. assign V320057 = V801339. assign V054274 = V885894. assign V793931 = V368462 - 1. assign V189325 = V289682 - 1. assign V407042 = V949247 + 1. assign V885860 = V031522. assign V561601 = V962592 - 1. assign V648059 = V885860 - 1. assign V266735 = V236264 - 1. assign V822824 = V870253 + 1. assign V547299 = V289682 - 1. assign V867310 = V592321 + 1. assign V491333 = V793931 - 1. assign V740911 = V606737. assign V430388 = V345185. assign V987264 = V266151. assign V925022 = V732071 + 1. assign V488859 = V849647. assign V317893 = V357894 + 1. assign V345185 = V704276 + 1. assign V687017 = V885894 - 1. assign V473002 = V765431 - 1. assign V023494 = V898881 + 1. assign V149569 = V756105 - 1. assign V566514 = V289682 + 1. assign V600567 = V297846 + 1. assign V693792 = V704276 + 1. assign V593816 = V324035. assign V077665 = V488859 + 1. assign V387800 = V944373. assign V855636 = V149569. assign V052821 = V527820 + 1. assign V071900 = V387800. assign V884449 = V849647. assign V886635 = V672572 + 1. assign V135642 = V485539. assign V832898 = V936427 - 1. assign V289682 = V368462 - 1. assign V882734 = V765431. assign V825735 = V353680 - 1. assign V236553 = V559298 - 1. assign V899640 = V023494 + 1. assign V654507 = V915916. assign V592103 = V911280 + 1. assign V218214 = V199613 + 1. assign V592321 = V849647 + 1. assign V282418 = V324035 + 1. assign V849647 = V793931 + 1. assign V099707 = V124520 + 1. assign V734407 = V728952. assign V046464 = V962592 - 1. assign V675132 = V292131 - 1. assign V520354 = V229468 - 1. assign V363597 = V566514 - 1. assign V351468 = V546609 + 1. assign V962068 = V336239. assign V647849 = V265471. assign V297846 = V491333. assign V080159 = V641585 + 1. assign V603094 = V641585. assign V031522 = V297846 - 1. assign V266151 = V247404 - 1. assign V395343 = V380920 + 1. assign V409189 = V215340 + 1. assign V974570 = V882734 - 1. assign V300182 = V885860. assign V007278 = V879104. assign V353680 = V216104. assign V497413 = V566514. assign V755533 = V915916. assign V109227 = V119931 - 1. assign V216104 = V793931. assign V910189 = V454282. assign V975289 = V324035 + 1. assign V909808 = V867310 - 1. assign V790149 = V755533. assign V414655 = V898881 - 1. assign V372603 = V357894 + 1. assign V416619 = V647849 + 1. assign V600325 = V735099 + 1. assign V380920 = V884449 - 1. assign V530110 = V949247. assign V093891 = V292131 - 1. assign V053097 = V035658. assign V601956 = V292131 + 1. assign V021611 = V289682. assign V915916 = V879104 - 1. assign V978055 = V603094. assign V786028 = V125210 + 1. assign V169199 = V866941 - 1. assign V833717 = V760969 + 1. assign V125210 = V392833. assign V423182 = V879104 + 1. assign V307975 = V288668 - 1. assign V423471 = V710325 - 1. assign V557002 = V753412 + 1. assign V946958 = V765431 - 1. assign V317565 = V822824. assign V377486 = V895389. assign V341703 = V699581. assign V791863 = V885860 + 1. assign V392938 = V491333. assign V387943 = V693792 - 1. assign V661496 = V801339 + 1. assign V302117 = V099176. assign V728952 = V453114. assign V349500 = V317565 - 1. assign V071079 = V546609 - 1. assign V193426 = V282418 + 1. assign V931405 = V843791. assign V757977 = V603313. assign V715139 = V193426 - 1. assign V760969 = V700353. assign V200272 = V559298. assign V700353 = V527820 - 1. assign V136441 = V482542 - 1. assign V639986 = V710325 - 1. assign V815488 = V317565 + 1. assign V702568 = V052821 - 1. assign V199690 = V941847 - 1. assign V287350 = V699581 - 1. assign V308455 = V895389 - 1. assign V277108 = V603313 + 1. assign V973599 = V849647 + 1. assign V033357 = V488859 + 1. assign V335022 = V870253 + 1. assign V962592 = 4. assign V575860 = V795882. assign V715654 = V077665 + 1. assign V866941 = V647849. assign V604348 = V080159 - 1. assign V000499 = V559298. assign V392833 = V211331 - 1. assign V454282 = V282416. assign V630046 = V546609. assign V903350 = V601956 + 1. assign V956998 = V292131 - 1. assign V020170 = V550637 + 1. assign V215340 = V216104. assign V025548 = V266735 - 1. assign V266212 = V879104 + 1. assign V365835 = V962592 + 1. assign V514769 = V387800 - 1. assign V282416 = V949247 + 1. assign V841540 = V575860 + 1. assign V067157 = V603313 - 1. assign V459823 = V601956 + 1. assign V302992 = V081436. assign V454111 = V421280 - 1. assign V328111 = V735099 - 1. assign V461274 = V592103 - 1. assign V032624 = V414655. assign V124520 = V863904 - 1. assign V843791 = V606737 - 1. assign V035658 = V328111 + 1. assign V373833 = V282418 - 1. assign V885894 = V491333 + 1. assign V559395 = V721469 - 1. assign V012111 = V387943. assign V419620 = V266151 - 1. assign V331377 = V424965 - 1. assign V603313 = V801339 - 1. assign V550637 = V849647 - 1. assign V482542 = V559395. assign V413820 = V351468 - 1. assign V944373 = V402001 - 1. assign V376494 = V710325. assign V567293 = V421280 - 1. assign V424965 = V726506. assign V765463 = V015926 - 1. assign V844230 = V495364. assign V244958 = V454111. assign V641585 = V488859 - 1. assign V217496 = V193426 + 1. assign V699581 = V566514 + 1. assign V474362 = V320057. assign V219587 = V801339 + 1. assign V799267 = V504448. assign V911280 = V895389 - 1. assign V249214 = V879104. assign V186659 = V704276 + 1. assign V586256 = V822824 + 1. assign V686003 = V017800 - 1. assign V212059 = V348020. assign V485539 = V031522. assign V199613 = V297846. assign V275347 = V368462 + 1. assign V086589 = V495364 + 1. assign V897110 = V119931 + 1. assign V546609 = V867310. assign V412745 = V899640. assign V559298 = V603313 + 1. assign V856931 = V586956 + 1. assign V131387 = V007278 - 1. assign V052444 = V162504. assign V211331 = V885860 - 1. assign V302962 = V574142 - 1. assign V072534 = V289682 + 1. assign V050627 = V266735. assign V668611 = V856931. assign V247404 = V046464 + 1. assign V617592 = V239989 + 1. assign V007689 = V488859 - 1. assign V184719 = V915916. assign V732071 = V482542 + 1. assign V222666 = V080159 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV962592 = 4;\n\nFrom these direct assignment(s), we have: \nV365835 = V962592 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V365835;\nV046464 = V962592 - 1 = 4 - 1 =3;\nV247404 = V046464 + 1 = 3 + 1 =4;\nV266151 = V247404 - 1 = 4 - 1 =3;\nV419620 = V266151 - 1 = 3 - 1 =2;\nNo other varaibles can be derived from V419620;\nV987264 = V266151 = 3;\nNo other varaibles can be derived from V987264;\nNo other varaibles can be derived from V266151;\nNo other varaibles can be derived from V247404;\nNo other varaibles can be derived from V046464;\nV561601 = V962592 - 1 = 4 - 1 =3;\nV753412 = V561601 + 1 = 3 + 1 =4;\nV557002 = V753412 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V557002;\nNo other varaibles can be derived from V753412;\nNo other varaibles can be derived from V561601;\nNo other varaibles can be derived from V962592;\n\nNow we have done all the calculations. Derived variables are:\nV962592 = 4;\nV365835 = 5;\nV046464 = 3;\nV247404 = 4;\nV266151 = 3;\nV419620 = 2;\nV987264 = 3;\nV561601 = 3;\nV753412 = 4;\nV557002 = 5;\n\nNow we have finished this problem. ANSWER:\nV046464, V266151, V987264, V561601\n", "role": "assistant" } ]

[ "V272957", "V724846", "V403487" ]

[ { "content": "<context>\nassign V924320 = V302284 - 1. assign V827616 = V077218. assign V120964 = V761118 - 1. assign V017326 = V351516 - 1. assign V470173 = V824497 + 1. assign V376993 = V077218 + 1. assign V033506 = V059889 - 1. assign V361769 = V451827 - 1. assign V749834 = V520157. assign V308987 = V616446 - 1. assign V854016 = V839212 + 1. assign V898987 = V826696 - 1. assign V815948 = V021315 - 1. assign V047030 = V507401. assign V418676 = V440022 - 1. assign V873840 = V645043 + 1. assign V364351 = V256864. assign V711870 = V606314 - 1. assign V464664 = V952031 + 1. assign V702676 = V773902 - 1. assign V272957 = V348880 - 1. assign V540516 = V376993 - 1. assign V069939 = V941720 - 1. assign V426652 = V999080. assign V354342 = V377876 + 1. assign V878587 = V440022 - 1. assign V042464 = V670803 + 1. assign V265928 = V650880 - 1. assign V520157 = V614926. assign V129777 = V797160 + 1. assign V672379 = V440022 + 1. assign V860995 = V127569 - 1. assign V621089 = V863634 + 1. assign V587811 = V722280. assign V921317 = V865715 - 1. assign V670713 = V006084 + 1. assign V409046 = V868428 - 1. assign V131742 = V839212 + 1. assign V614926 = V650880 - 1. assign V049483 = V735009 - 1. assign V683253 = V549816 - 1. assign V308764 = V546408 - 1. assign V742745 = V919175. assign V172511 = V981158 + 1. assign V240258 = V309261 - 1. assign V953992 = V326405 - 1. assign V371026 = V257302 + 1. assign V675925 = V400124. assign V052525 = V159819 - 1. assign V298886 = V887677 - 1. assign V877982 = V131742 + 1. assign V645043 = V296515. assign V650880 = V215722 - 1. assign V163869 = V351516 + 1. assign V628328 = V968148 + 1. assign V501111 = V546408 - 1. assign V454591 = V480873. assign V921499 = V122452 + 1. assign V561030 = V127569 - 1. assign V658076 = V215722. assign V872512 = V248703 + 1. assign V212826 = V500469 - 1. assign V159819 = V723937 - 1. assign V835454 = V287410 - 1. assign V689826 = V121990. assign V120980 = V766012 + 1. assign V414689 = V059889. assign V984589 = V239090. assign V213942 = V203677 + 1. assign V606314 = V905645. assign V550040 = V210550 - 1. assign V763905 = V203677 - 1. assign V346430 = V256864. assign V741067 = V326405 + 1. assign V078978 = V887677. assign V333447 = V241130 - 1. assign V921961 = V661003 + 1. assign V529302 = V998428. assign V874551 = V707841 + 1. assign V770031 = V296515. assign V155593 = V958805. assign V120697 = V231623. assign V922480 = V145631 - 1. assign V616446 = V265928. assign V119313 = V922480 + 1. assign V797160 = V839212 + 1. assign V824497 = V131742. assign V853646 = V006084 + 1. assign V059889 = V723937 + 1. assign V761118 = V400124 + 1. assign V683999 = V256864 - 1. assign V887677 = V131742. assign V998428 = V131742. assign V543103 = V616446 - 1. assign V446400 = V935699. assign V699333 = V126878. assign V626525 = V296515 + 1. assign V730356 = V131742 + 1. assign V969201 = V131742 - 1. assign V215722 = V507401. assign V952031 = V919175 - 1. assign V982643 = V923547 - 1. assign V514384 = V921961 + 1. assign V259197 = V286623 - 1. assign V160510 = V514384 - 1. assign V229983 = V490505. assign V702204 = V131742 - 1. assign V872843 = V451827 + 1. assign V688746 = V643587. assign V868428 = V877574. assign V007214 = V621089 + 1. assign V456889 = V650880 + 1. assign V542822 = V446400 - 1. assign V545618 = V696690 - 1. assign V388384 = V259197. assign V439179 = V661748 + 1. assign V537224 = V257302. assign V812207 = V877574 - 1. assign V865715 = V887677 - 1. assign V017983 = V446400 - 1. assign V126878 = V336883 - 1. assign V489458 = V217516 + 1. assign V707841 = V319673 + 1. assign V702896 = V047030 - 1. assign V661003 = V273479. assign V838645 = V681339. assign V403487 = V724846. assign V600090 = V645043. assign V486653 = V446400. assign V606358 = V796909. assign V427970 = V873840 - 1. assign V923547 = V308987. assign V322859 = V541557 - 1. assign V229355 = V299547 + 1. assign V228634 = V806512 - 1. assign V014571 = V688746 - 1. assign V248342 = V124801 + 1. assign V392737 = V935699 - 1. assign V021315 = V905645 - 1. assign V939558 = V575187 - 1. assign V446278 = V248703. assign V541557 = V745155 + 1. assign V802284 = V286623 - 1. assign V195901 = V127569. assign V396042 = V814811 - 1. assign V055473 = V124801 - 1. assign V905645 = V839212. assign V643587 = V967674 + 1. assign V040513 = V884898 - 1. assign V719902 = V878587 - 1. assign V981158 = V296515 - 1. assign V885158 = V797160 + 1. assign V451827 = V766012 - 1. assign V648916 = V961860 - 1. assign V176409 = V572368 + 1. assign V655600 = V656280. assign V735009 = V287410. assign V862225 = V656280. assign V329074 = V171432. assign V319673 = V424099. assign V155170 = V723937. assign V933190 = V215722 - 1. assign V299547 = V376993 - 1. assign V490505 = V650880 + 1. assign V220408 = V500469 + 1. assign V769216 = V049483. assign V749584 = V722280. assign V253972 = V346430. assign V814811 = V761118 - 1. assign V424099 = V645043. assign V284994 = V159819 - 1. assign V326405 = V286623 + 1. assign V789298 = V763905. assign V877574 = V047030 + 1. assign V756434 = V298886 + 1. assign V495547 = V287410. assign V154044 = V863634 + 1. assign V971968 = V714192. assign V863596 = V006084 + 1. assign V586022 = V723937 + 1. assign V470275 = V426652. assign V301581 = V981158 - 1. assign V004233 = V126878 + 1. assign V579955 = V626525 + 1. assign V935699 = V359992 + 1. assign V532141 = V149108 - 1. assign V472200 = V923547 - 1. assign V277728 = V756434. assign V050302 = V621089 - 1. assign V670803 = V579955 + 1. assign V243275 = V309261 - 1. assign V055315 = V501111. assign V826696 = V626525 - 1. assign V685752 = V606358 - 1. assign V884898 = V299547. assign V006084 = V559414. assign V122452 = V156530 + 1. assign V712527 = V341777. assign V210550 = V579955. assign V373168 = V905645. assign V804468 = V905645. assign V172498 = V655600 + 1. assign V382717 = V359992 - 1. assign V739738 = V055315. assign V187403 = V346430 - 1. assign V949173 = V815948 + 1. assign V766012 = V689672 - 1. assign V715539 = V127569. assign V953197 = V773902 + 1. assign V074524 = V702896. assign V124801 = V259197 + 1. assign V021493 = V984589 + 1. assign V336883 = V839212. assign V127569 = V047030 + 1. assign V371414 = V069924. assign V839212 = V296515 - 1. assign V723937 = V286623 - 1. assign V836934 = V860995 + 1. assign V794136 = V606314 - 1. assign V999080 = V156530 + 1. assign V549816 = V021315 + 1. assign V440022 = V572368 + 1. assign V302284 = V794136 - 1. assign V825049 = V127569. assign V069924 = V265928 + 1. assign V723322 = V789575. assign V912184 = V359992 + 1. assign V714192 = V336883 + 1. assign V358588 = V948797 - 1. assign V982810 = V257302 - 1. assign V558498 = V919175. assign V981026 = V154044 - 1. assign V487491 = V541557 + 1. assign V105373 = V878587. assign V577090 = V440022 + 1. assign V277161 = V723937 - 1. assign V722280 = 3. assign V745155 = V626525 + 1. assign V856522 = V865715. assign V633965 = V440022. assign V627520 = V499594 - 1. assign V656280 = V210550 + 1. assign V286623 = V131742 + 1. assign V037472 = V540516. assign V518612 = V616446 - 1. assign V429784 = V541557. assign V552543 = V839212 - 1. assign V175911 = V868428 - 1. assign V188514 = V490505 + 1. assign V760275 = V326405 + 1. assign V239090 = V714192 + 1. assign V937785 = V648916 + 1. assign V546408 = V239090 - 1. assign V909485 = V878587 + 1. assign V575187 = V299547 + 1. assign V501699 = V723937 + 1. assign V806512 = V427970 - 1. assign V170720 = V766012 - 1. assign V795845 = V953992 - 1. assign V724846 = V272957. assign V149108 = V999080. assign V643160 = V559414. assign V315402 = V354342 - 1. assign V388220 = V877982. assign V257302 = V131742 + 1. assign V400124 = V873840 - 1. assign V796909 = V770308 + 1. assign V291874 = V446400 - 1. assign V231623 = V210550 - 1. assign V499594 = V860995 - 1. assign V948797 = V860995 + 1. assign V412783 = V499594. assign V160242 = V621089. assign V789575 = V797160 + 1. assign V294596 = V537224 + 1. assign V203677 = V126878. assign V176747 = V217516 - 1. assign V287410 = V626525. assign V572368 = V296515 - 1. assign V573426 = V616446. assign V968148 = V658076 - 1. assign V367369 = V735009 - 1. assign V491185 = V579955 + 1. assign V958805 = V763905 - 1. assign V034208 = V934353 - 1. assign V377876 = V479970 - 1. assign V749169 = V806512. assign V273479 = V520157 - 1. assign V291441 = V645719. assign V134544 = V050302. assign V941720 = V259197. assign V241130 = V427970 - 1. assign V154985 = V650880 + 1. assign V309261 = V507401 + 1. assign V211425 = V518612 - 1. assign V351516 = V835454 - 1. assign V661748 = V614926 - 1. assign V077218 = V400124. assign V566451 = V296515 + 1. assign V995722 = V272957 + 1. assign V770308 = V265928 + 1. assign V348880 = V722280 - 1. assign V479970 = V865715. assign V689672 = V549816 - 1. assign V217516 = V520157 + 1. assign V681339 = V376993 - 1. assign V825876 = V059889 - 1. assign V863634 = V499594. assign V967674 = V274743 - 1. assign V804107 = V966575 - 1. assign V534824 = V683253 - 1. assign V121560 = V802284. assign V696690 = V400124 + 1. assign V248703 = V579955. assign V933268 = V948797 + 1. assign V256864 = V670713 + 1. assign V795074 = V400124 + 1. assign V775355 = V933268. assign V900075 = V400124. assign V210748 = V863596 - 1. assign V307329 = V126878 + 1. assign V906661 = V501111. assign V507401 = V626525 - 1. assign V359992 = V839212 - 1. assign V480873 = V633965 - 1. assign V961860 = V546408. assign V625892 = V815948 - 1. assign V559414 = V905645. assign V436383 = V645043 - 1. assign V564216 = V120980 + 1. assign V773902 = V129777 + 1. assign V906520 = V575187. assign V917054 = V499594 + 1. assign V145631 = V446278 - 1. assign V966575 = V256864 - 1. assign V171432 = V826696. assign V645719 = V359992. assign V274743 = V446400. assign V121990 = V500469. assign V078118 = V336883. assign V074352 = V059889 + 1. assign V253371 = V195901 + 1. assign V682089 = V371026. assign V139679 = V839212. assign V341777 = V231623. assign V919175 = V616446 - 1. assign V934353 = V348880 + 1. assign V156530 = V259197 + 1. assign V579127 = V827616 + 1. assign V738361 = V887677. assign V500469 = V155170 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V924320 = V302284 - 1. assign V827616 = V077218. assign V120964 = V761118 - 1. assign V017326 = V351516 - 1. assign V470173 = V824497 + 1. assign V376993 = V077218 + 1. assign V033506 = V059889 - 1. assign V361769 = V451827 - 1. assign V749834 = V520157. assign V308987 = V616446 - 1. assign V854016 = V839212 + 1. assign V898987 = V826696 - 1. assign V815948 = V021315 - 1. assign V047030 = V507401. assign V418676 = V440022 - 1. assign V873840 = V645043 + 1. assign V364351 = V256864. assign V711870 = V606314 - 1. assign V464664 = V952031 + 1. assign V702676 = V773902 - 1. assign V272957 = V348880 - 1. assign V540516 = V376993 - 1. assign V069939 = V941720 - 1. assign V426652 = V999080. assign V354342 = V377876 + 1. assign V878587 = V440022 - 1. assign V042464 = V670803 + 1. assign V265928 = V650880 - 1. assign V520157 = V614926. assign V129777 = V797160 + 1. assign V672379 = V440022 + 1. assign V860995 = V127569 - 1. assign V621089 = V863634 + 1. assign V587811 = V722280. assign V921317 = V865715 - 1. assign V670713 = V006084 + 1. assign V409046 = V868428 - 1. assign V131742 = V839212 + 1. assign V614926 = V650880 - 1. assign V049483 = V735009 - 1. assign V683253 = V549816 - 1. assign V308764 = V546408 - 1. assign V742745 = V919175. assign V172511 = V981158 + 1. assign V240258 = V309261 - 1. assign V953992 = V326405 - 1. assign V371026 = V257302 + 1. assign V675925 = V400124. assign V052525 = V159819 - 1. assign V298886 = V887677 - 1. assign V877982 = V131742 + 1. assign V645043 = V296515. assign V650880 = V215722 - 1. assign V163869 = V351516 + 1. assign V628328 = V968148 + 1. assign V501111 = V546408 - 1. assign V454591 = V480873. assign V921499 = V122452 + 1. assign V561030 = V127569 - 1. assign V658076 = V215722. assign V872512 = V248703 + 1. assign V212826 = V500469 - 1. assign V159819 = V723937 - 1. assign V835454 = V287410 - 1. assign V689826 = V121990. assign V120980 = V766012 + 1. assign V414689 = V059889. assign V984589 = V239090. assign V213942 = V203677 + 1. assign V606314 = V905645. assign V550040 = V210550 - 1. assign V763905 = V203677 - 1. assign V346430 = V256864. assign V741067 = V326405 + 1. assign V078978 = V887677. assign V333447 = V241130 - 1. assign V921961 = V661003 + 1. assign V529302 = V998428. assign V874551 = V707841 + 1. assign V770031 = V296515. assign V155593 = V958805. assign V120697 = V231623. assign V922480 = V145631 - 1. assign V616446 = V265928. assign V119313 = V922480 + 1. assign V797160 = V839212 + 1. assign V824497 = V131742. assign V853646 = V006084 + 1. assign V059889 = V723937 + 1. assign V761118 = V400124 + 1. assign V683999 = V256864 - 1. assign V887677 = V131742. assign V998428 = V131742. assign V543103 = V616446 - 1. assign V446400 = V935699. assign V699333 = V126878. assign V626525 = V296515 + 1. assign V730356 = V131742 + 1. assign V969201 = V131742 - 1. assign V215722 = V507401. assign V952031 = V919175 - 1. assign V982643 = V923547 - 1. assign V514384 = V921961 + 1. assign V259197 = V286623 - 1. assign V160510 = V514384 - 1. assign V229983 = V490505. assign V702204 = V131742 - 1. assign V872843 = V451827 + 1. assign V688746 = V643587. assign V868428 = V877574. assign V007214 = V621089 + 1. assign V456889 = V650880 + 1. assign V542822 = V446400 - 1. assign V545618 = V696690 - 1. assign V388384 = V259197. assign V439179 = V661748 + 1. assign V537224 = V257302. assign V812207 = V877574 - 1. assign V865715 = V887677 - 1. assign V017983 = V446400 - 1. assign V126878 = V336883 - 1. assign V489458 = V217516 + 1. assign V707841 = V319673 + 1. assign V702896 = V047030 - 1. assign V661003 = V273479. assign V838645 = V681339. assign V403487 = V724846. assign V600090 = V645043. assign V486653 = V446400. assign V606358 = V796909. assign V427970 = V873840 - 1. assign V923547 = V308987. assign V322859 = V541557 - 1. assign V229355 = V299547 + 1. assign V228634 = V806512 - 1. assign V014571 = V688746 - 1. assign V248342 = V124801 + 1. assign V392737 = V935699 - 1. assign V021315 = V905645 - 1. assign V939558 = V575187 - 1. assign V446278 = V248703. assign V541557 = V745155 + 1. assign V802284 = V286623 - 1. assign V195901 = V127569. assign V396042 = V814811 - 1. assign V055473 = V124801 - 1. assign V905645 = V839212. assign V643587 = V967674 + 1. assign V040513 = V884898 - 1. assign V719902 = V878587 - 1. assign V981158 = V296515 - 1. assign V885158 = V797160 + 1. assign V451827 = V766012 - 1. assign V648916 = V961860 - 1. assign V176409 = V572368 + 1. assign V655600 = V656280. assign V735009 = V287410. assign V862225 = V656280. assign V329074 = V171432. assign V319673 = V424099. assign V155170 = V723937. assign V933190 = V215722 - 1. assign V299547 = V376993 - 1. assign V490505 = V650880 + 1. assign V220408 = V500469 + 1. assign V769216 = V049483. assign V749584 = V722280. assign V253972 = V346430. assign V814811 = V761118 - 1. assign V424099 = V645043. assign V284994 = V159819 - 1. assign V326405 = V286623 + 1. assign V789298 = V763905. assign V877574 = V047030 + 1. assign V756434 = V298886 + 1. assign V495547 = V287410. assign V154044 = V863634 + 1. assign V971968 = V714192. assign V863596 = V006084 + 1. assign V586022 = V723937 + 1. assign V470275 = V426652. assign V301581 = V981158 - 1. assign V004233 = V126878 + 1. assign V579955 = V626525 + 1. assign V935699 = V359992 + 1. assign V532141 = V149108 - 1. assign V472200 = V923547 - 1. assign V277728 = V756434. assign V050302 = V621089 - 1. assign V670803 = V579955 + 1. assign V243275 = V309261 - 1. assign V055315 = V501111. assign V826696 = V626525 - 1. assign V685752 = V606358 - 1. assign V884898 = V299547. assign V006084 = V559414. assign V122452 = V156530 + 1. assign V712527 = V341777. assign V210550 = V579955. assign V373168 = V905645. assign V804468 = V905645. assign V172498 = V655600 + 1. assign V382717 = V359992 - 1. assign V739738 = V055315. assign V187403 = V346430 - 1. assign V949173 = V815948 + 1. assign V766012 = V689672 - 1. assign V715539 = V127569. assign V953197 = V773902 + 1. assign V074524 = V702896. assign V124801 = V259197 + 1. assign V021493 = V984589 + 1. assign V336883 = V839212. assign V127569 = V047030 + 1. assign V371414 = V069924. assign V839212 = V296515 - 1. assign V723937 = V286623 - 1. assign V836934 = V860995 + 1. assign V794136 = V606314 - 1. assign V999080 = V156530 + 1. assign V549816 = V021315 + 1. assign V440022 = V572368 + 1. assign V302284 = V794136 - 1. assign V825049 = V127569. assign V069924 = V265928 + 1. assign V723322 = V789575. assign V912184 = V359992 + 1. assign V714192 = V336883 + 1. assign V358588 = V948797 - 1. assign V982810 = V257302 - 1. assign V558498 = V919175. assign V981026 = V154044 - 1. assign V487491 = V541557 + 1. assign V105373 = V878587. assign V577090 = V440022 + 1. assign V277161 = V723937 - 1. assign V722280 = 3. assign V745155 = V626525 + 1. assign V856522 = V865715. assign V633965 = V440022. assign V627520 = V499594 - 1. assign V656280 = V210550 + 1. assign V286623 = V131742 + 1. assign V037472 = V540516. assign V518612 = V616446 - 1. assign V429784 = V541557. assign V552543 = V839212 - 1. assign V175911 = V868428 - 1. assign V188514 = V490505 + 1. assign V760275 = V326405 + 1. assign V239090 = V714192 + 1. assign V937785 = V648916 + 1. assign V546408 = V239090 - 1. assign V909485 = V878587 + 1. assign V575187 = V299547 + 1. assign V501699 = V723937 + 1. assign V806512 = V427970 - 1. assign V170720 = V766012 - 1. assign V795845 = V953992 - 1. assign V724846 = V272957. assign V149108 = V999080. assign V643160 = V559414. assign V315402 = V354342 - 1. assign V388220 = V877982. assign V257302 = V131742 + 1. assign V400124 = V873840 - 1. assign V796909 = V770308 + 1. assign V291874 = V446400 - 1. assign V231623 = V210550 - 1. assign V499594 = V860995 - 1. assign V948797 = V860995 + 1. assign V412783 = V499594. assign V160242 = V621089. assign V789575 = V797160 + 1. assign V294596 = V537224 + 1. assign V203677 = V126878. assign V176747 = V217516 - 1. assign V287410 = V626525. assign V572368 = V296515 - 1. assign V573426 = V616446. assign V968148 = V658076 - 1. assign V367369 = V735009 - 1. assign V491185 = V579955 + 1. assign V958805 = V763905 - 1. assign V034208 = V934353 - 1. assign V377876 = V479970 - 1. assign V749169 = V806512. assign V273479 = V520157 - 1. assign V291441 = V645719. assign V134544 = V050302. assign V941720 = V259197. assign V241130 = V427970 - 1. assign V154985 = V650880 + 1. assign V309261 = V507401 + 1. assign V211425 = V518612 - 1. assign V351516 = V835454 - 1. assign V661748 = V614926 - 1. assign V077218 = V400124. assign V566451 = V296515 + 1. assign V995722 = V272957 + 1. assign V770308 = V265928 + 1. assign V348880 = V722280 - 1. assign V479970 = V865715. assign V689672 = V549816 - 1. assign V217516 = V520157 + 1. assign V681339 = V376993 - 1. assign V825876 = V059889 - 1. assign V863634 = V499594. assign V967674 = V274743 - 1. assign V804107 = V966575 - 1. assign V534824 = V683253 - 1. assign V121560 = V802284. assign V696690 = V400124 + 1. assign V248703 = V579955. assign V933268 = V948797 + 1. assign V256864 = V670713 + 1. assign V795074 = V400124 + 1. assign V775355 = V933268. assign V900075 = V400124. assign V210748 = V863596 - 1. assign V307329 = V126878 + 1. assign V906661 = V501111. assign V507401 = V626525 - 1. assign V359992 = V839212 - 1. assign V480873 = V633965 - 1. assign V961860 = V546408. assign V625892 = V815948 - 1. assign V559414 = V905645. assign V436383 = V645043 - 1. assign V564216 = V120980 + 1. assign V773902 = V129777 + 1. assign V906520 = V575187. assign V917054 = V499594 + 1. assign V145631 = V446278 - 1. assign V966575 = V256864 - 1. assign V171432 = V826696. assign V645719 = V359992. assign V274743 = V446400. assign V121990 = V500469. assign V078118 = V336883. assign V074352 = V059889 + 1. assign V253371 = V195901 + 1. assign V682089 = V371026. assign V139679 = V839212. assign V341777 = V231623. assign V919175 = V616446 - 1. assign V934353 = V348880 + 1. assign V156530 = V259197 + 1. assign V579127 = V827616 + 1. assign V738361 = V887677. assign V500469 = V155170 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV722280 = 3;\n\nFrom these direct assignment(s), we have: \nV348880 = V722280 - 1 = 3 - 1 =2;\nV934353 = V348880 + 1 = 2 + 1 =3;\nV034208 = V934353 - 1 = 3 - 1 =2;\nNo other varaibles can be derived from V034208;\nNo other varaibles can be derived from V934353;\nV272957 = V348880 - 1 = 2 - 1 =1;\nV995722 = V272957 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V995722;\nV724846 = V272957 = 1;\nV403487 = V724846 = 1;\nNo other varaibles can be derived from V403487;\nNo other varaibles can be derived from V724846;\nNo other varaibles can be derived from V272957;\nNo other varaibles can be derived from V348880;\nV749584 = V722280 = 3;\nNo other varaibles can be derived from V749584;\nV587811 = V722280 = 3;\nNo other varaibles can be derived from V587811;\nNo other varaibles can be derived from V722280;\n\nNow we have done all the calculations. Derived variables are:\nV722280 = 3;\nV348880 = 2;\nV934353 = 3;\nV034208 = 2;\nV272957 = 1;\nV995722 = 2;\nV724846 = 1;\nV403487 = 1;\nV749584 = 3;\nV587811 = 3;\n\nNow we have finished this problem. ANSWER:\nV272957, V724846, V403487\n", "role": "assistant" } ]

[ "V815254", "V540656", "V069449" ]

[ { "content": "<context>\nassign V846623 = V093348 + 1. assign V720231 = V275455 - 1. assign V431273 = V602126 - 1. assign V974536 = V427044. assign V537367 = V386928. assign V023504 = V387816 + 1. assign V408369 = V560767 - 1. assign V391513 = V675921. assign V536967 = V537367 - 1. assign V660742 = V681531 - 1. assign V070928 = V296932. assign V143880 = V386928 - 1. assign V595228 = V069791. assign V441665 = V296932 + 1. assign V154399 = V386928 + 1. assign V922837 = V949356 + 1. assign V445255 = V489749 - 1. assign V123372 = V970509 + 1. assign V645246 = V095308 + 1. assign V113157 = V971112. assign V786026 = V466765 - 1. assign V117583 = V703019 + 1. assign V400621 = V882673 - 1. assign V311249 = V970712 - 1. assign V717430 = V934461 + 1. assign V271611 = V773122 + 1. assign V999664 = V035990. assign V966357 = V910788. assign V970712 = V916089. assign V944985 = V456964. assign V591170 = V882673. assign V859610 = V667679. assign V918332 = V715007. assign V994330 = V817096. assign V920541 = V882673 + 1. assign V889664 = V594678. assign V792531 = V909656 + 1. assign V895753 = V127620 - 1. assign V201479 = V815254 + 1. assign V006395 = V252301. assign V947292 = V468349 - 1. assign V268497 = V591170 - 1. assign V249550 = V552106 + 1. assign V567173 = V186607 + 1. assign V916089 = V003084 - 1. assign V927494 = V573170. assign V971112 = V573170 + 1. assign V886114 = V067805. assign V968276 = V777117 + 1. assign V182324 = V109297 + 1. assign V435583 = V595228 + 1. assign V489749 = V611038 - 1. assign V571119 = V035990 + 1. assign V748040 = V958403. assign V724399 = V408369. assign V986162 = V675921 + 1. assign V393114 = V361056 - 1. assign V805518 = V069791 + 1. assign V248002 = V468349. assign V035990 = V038062 + 1. assign V015059 = V252301 + 1. assign V038062 = V054627 - 1. assign V127620 = V212638 + 1. assign V406771 = V407319. assign V215430 = 2. assign V188976 = V606924 - 1. assign V756495 = V093061. assign V248059 = V445255 - 1. assign V273933 = V707605 - 1. assign V514482 = V252301 - 1. assign V421884 = V223954 + 1. assign V080699 = V560767 + 1. assign V606924 = V537367 - 1. assign V204884 = V062789. assign V738676 = V163281. assign V380930 = V173148 + 1. assign V529104 = V567173 - 1. assign V756421 = V863793. assign V915679 = V198900. assign V959587 = V927494 - 1. assign V198900 = V393114. assign V970509 = V916089 - 1. assign V054310 = V407319 + 1. assign V178830 = V931634 - 1. assign V587023 = V552288. assign V676582 = V911555. assign V671896 = V891756 + 1. assign V688425 = V846150 + 1. assign V863793 = V407319 + 1. assign V908566 = V095308. assign V805653 = V248002 - 1. assign V438275 = V718291 + 1. assign V999752 = V395466 - 1. assign V197425 = V595228 - 1. assign V124560 = V786026 - 1. assign V664111 = V186607 + 1. assign V690279 = V573170 + 1. assign V682162 = V567488 + 1. assign V667679 = V583759. assign V400489 = V435583 + 1. assign V718291 = V179782 - 1. assign V603731 = V539678 + 1. assign V773122 = V412858. assign V456964 = V412858 + 1. assign V334210 = V395466 - 1. assign V934461 = V573170. assign V144640 = V920541 + 1. assign V412858 = V927494. assign V224882 = V093061. assign V361056 = V805518 + 1. assign V468349 = V212638 + 1. assign V224663 = V874684 + 1. assign V657825 = V801945 - 1. assign V948003 = V680986. assign V971592 = V773302. assign V067805 = V035990 + 1. assign V016394 = V023504. assign V001353 = V584519 - 1. assign V707374 = V212638 + 1. assign V765424 = V750208 - 1. assign V351353 = V571119 - 1. assign V967712 = V874684. assign V313128 = V584519 - 1. assign V569596 = V874684. assign V913761 = V873505. assign V100976 = V738676. assign V301447 = V306148 + 1. assign V209009 = V178198 - 1. assign V629006 = V514482 - 1. assign V878020 = V406771 - 1. assign V539678 = V468349 - 1. assign V818031 = V927494. assign V680986 = V916089 + 1. assign V393599 = V322841. assign V703019 = V675921. assign V494338 = V738676. assign V994366 = V644642 - 1. assign V363296 = V683254. assign V418298 = V645246 + 1. assign V917981 = V275455 + 1. assign V238838 = V163281. assign V005447 = V229319 + 1. assign V822809 = V901351 - 1. assign V092249 = V818031. assign V801945 = V163281 + 1. assign V017693 = V306148 - 1. assign V378553 = V400489 + 1. assign V229319 = V095308 + 1. assign V452681 = V675921. assign V817096 = V974536. assign V825838 = V878020 + 1. assign V635636 = V683254 + 1. assign V808376 = V715007 - 1. assign V145616 = V808376 - 1. assign V683254 = V163281. assign V469575 = V248002. assign V926105 = V560767. assign V707605 = V407319 - 1. assign V891756 = V602984. assign V681531 = V461879 + 1. assign V021978 = V794240. assign V642331 = V313128. assign V733383 = V720231 - 1. assign V420729 = V092249 + 1. assign V863193 = V288478 - 1. assign V284279 = V916089 + 1. assign V784179 = V407319. assign V949225 = V054627 + 1. assign V494570 = V707374 + 1. assign V306148 = V130830 + 1. assign V909656 = V471934 + 1. assign V450781 = V529104 + 1. assign V387816 = V069791 + 1. assign V042648 = V154868 + 1. assign V461879 = V846150. assign V899544 = V178830. assign V928826 = V805518. assign V602126 = V296932 + 1. assign V130830 = V003084. assign V774911 = V209009. assign V064968 = V927494 + 1. assign V547166 = V144640 + 1. assign V665199 = V232594 + 1. assign V158576 = V539678. assign V592743 = V248059. assign V252301 = V143213 + 1. assign V567455 = V006395. assign V069449 = V226124 - 1. assign V786709 = V064968 + 1. assign V471934 = V947292. assign V644642 = V568352 - 1. assign V223551 = V720231 + 1. assign V802352 = V756495 + 1. assign V874210 = V567488 - 1. assign V097417 = V602126. assign V602984 = V916089 - 1. assign V255190 = V598602 + 1. assign V611038 = V115928 - 1. assign V407319 = V466765 - 1. assign V323905 = V683254 + 1. assign V154728 = V236081 - 1. assign V136842 = V153111. assign V054627 = V920541 + 1. assign V834931 = V113157 + 1. assign V854764 = V937523. assign V331953 = V571119 - 1. assign V689416 = V153111 + 1. assign V730655 = V255190 - 1. assign V542733 = V400621. assign V449854 = V408369. assign V910788 = V248002 + 1. assign V981428 = V449854 - 1. assign V154868 = V850462. assign V786845 = V773122 - 1. assign V773302 = V229319 - 1. assign V178198 = V070928 + 1. assign V283786 = V165086 - 1. assign V642127 = V560767 + 1. assign V760733 = V311249. assign V395466 = V777117 + 1. assign V165086 = V540656 - 1. assign V820659 = V223872. assign V236081 = V908566. assign V232594 = V197886 - 1. assign V728885 = V739146 + 1. assign V217202 = V665199 + 1. assign V574444 = V568352 + 1. assign V883645 = V927494. assign V456632 = V947292 + 1. assign V992542 = V703019 + 1. assign V455225 = V468349 - 1. assign V226124 = V540656 + 1. assign V868408 = V154868 - 1. assign V652383 = V455225 + 1. assign V739146 = V427044. assign V093061 = V412858 + 1. assign V901351 = V750208. assign V382705 = V093348. assign V197886 = V874210. assign V947714 = V970509 + 1. assign V988643 = V145616 + 1. assign V819470 = V156244 + 1. assign V959290 = V095308 - 1. assign V857455 = V602126 - 1. assign V095308 = V920541. assign V179782 = V777117 + 1. assign V636517 = V584519. assign V701543 = V361056 - 1. assign V386928 = V591170. assign V071914 = V665199. assign V223872 = V540656 - 1. assign V873505 = V427044 - 1. assign V704862 = V431273 + 1. assign V750208 = V738676 - 1. assign V628749 = V587023 - 1. assign V109297 = V773302 + 1. assign V584519 = V974536 - 1. assign V560767 = V675921. assign V700869 = V363296 + 1. assign V868881 = V874684. assign V051906 = V703019 + 1. assign V173148 = V054627 + 1. assign V143213 = V738676 + 1. assign V552288 = V064968 - 1. assign V973698 = V163281 + 1. assign V567488 = V927494 - 1. assign V769872 = V689416. assign V490495 = V934461 + 1. assign V777117 = V539678 + 1. assign V087285 = V642127. assign V296932 = V003084 - 1. assign V839460 = V301447 + 1. assign V508195 = V598602 + 1. assign V958368 = V069791. assign V928202 = V456632 - 1. assign V524844 = V927494 - 1. assign V466765 = V910788. assign V808649 = V539678. assign V496555 = V598602 - 1. assign V137328 = V412858 + 1. assign V231774 = V805653 - 1. assign V288478 = V727183 + 1. assign V007618 = V054627. assign V829702 = V750208 - 1. assign V850462 = V683254. assign V931634 = V069791 - 1. assign V322841 = V642127 - 1. assign V003846 = V537367 - 1. assign V540656 = V815254. assign V751555 = V400621 + 1. assign V163281 = V468349. assign V062789 = V539678 - 1. assign V675921 = V296932. assign V921547 = V005447. assign V004755 = V386928 + 1. assign V391549 = V064968. assign V541011 = V406771. assign V468750 = V178830 + 1. assign V136326 = V248002. assign V156244 = V552106. assign V727183 = V054627 + 1. assign V079308 = V178198 - 1. assign V446181 = V071914 + 1. assign V815254 = V215430 + 1. assign V427044 = V882673. assign V852845 = V400489. assign V115928 = V468349. assign V612409 = V635636. assign V069791 = V212638 + 1. assign V658219 = V097417 - 1. assign V882673 = V675921 + 1. assign V949356 = V724399 - 1. assign V003084 = V468349 - 1. assign V594678 = V035990 + 1. assign V223954 = V539678 + 1. assign V106133 = V966357 - 1. assign V491688 = V584519 + 1. assign V317341 = V756495 - 1. assign V662606 = V949225. assign V715007 = V539678. assign V785236 = V306148. assign V958403 = V703019. assign V186607 = V874210 - 1. assign V552106 = V455225 + 1. assign V479709 = V080699 + 1. assign V794240 = V212638 - 1. assign V187224 = V904363 + 1. assign V846150 = V786709 + 1. assign V514739 = V750208 + 1. assign V710692 = V947714 - 1. assign V650011 = V690279. assign V026418 = V452681 - 1. assign V598602 = V901351 - 1. assign V874684 = V158576 + 1. assign V921257 = V642127. assign V911555 = V051906 - 1. assign V247678 = V970509 - 1. assign V093348 = V874684 + 1. assign V033189 = V301447 - 1. assign V937523 = V186607 - 1. assign V568352 = V573170 - 1. assign V183570 = V016394 + 1. assign V942084 = V062789 + 1. assign V583759 = V850462 - 1. assign V104495 = V154868 + 1. assign V536986 = V461879 - 1. assign V939750 = V895753 + 1. assign V275455 = V801945 - 1. assign V573170 = V163281. assign V904363 = V154868 + 1. assign V153111 = V738676 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V846623 = V093348 + 1. assign V720231 = V275455 - 1. assign V431273 = V602126 - 1. assign V974536 = V427044. assign V537367 = V386928. assign V023504 = V387816 + 1. assign V408369 = V560767 - 1. assign V391513 = V675921. assign V536967 = V537367 - 1. assign V660742 = V681531 - 1. assign V070928 = V296932. assign V143880 = V386928 - 1. assign V595228 = V069791. assign V441665 = V296932 + 1. assign V154399 = V386928 + 1. assign V922837 = V949356 + 1. assign V445255 = V489749 - 1. assign V123372 = V970509 + 1. assign V645246 = V095308 + 1. assign V113157 = V971112. assign V786026 = V466765 - 1. assign V117583 = V703019 + 1. assign V400621 = V882673 - 1. assign V311249 = V970712 - 1. assign V717430 = V934461 + 1. assign V271611 = V773122 + 1. assign V999664 = V035990. assign V966357 = V910788. assign V970712 = V916089. assign V944985 = V456964. assign V591170 = V882673. assign V859610 = V667679. assign V918332 = V715007. assign V994330 = V817096. assign V920541 = V882673 + 1. assign V889664 = V594678. assign V792531 = V909656 + 1. assign V895753 = V127620 - 1. assign V201479 = V815254 + 1. assign V006395 = V252301. assign V947292 = V468349 - 1. assign V268497 = V591170 - 1. assign V249550 = V552106 + 1. assign V567173 = V186607 + 1. assign V916089 = V003084 - 1. assign V927494 = V573170. assign V971112 = V573170 + 1. assign V886114 = V067805. assign V968276 = V777117 + 1. assign V182324 = V109297 + 1. assign V435583 = V595228 + 1. assign V489749 = V611038 - 1. assign V571119 = V035990 + 1. assign V748040 = V958403. assign V724399 = V408369. assign V986162 = V675921 + 1. assign V393114 = V361056 - 1. assign V805518 = V069791 + 1. assign V248002 = V468349. assign V035990 = V038062 + 1. assign V015059 = V252301 + 1. assign V038062 = V054627 - 1. assign V127620 = V212638 + 1. assign V406771 = V407319. assign V215430 = 2. assign V188976 = V606924 - 1. assign V756495 = V093061. assign V248059 = V445255 - 1. assign V273933 = V707605 - 1. assign V514482 = V252301 - 1. assign V421884 = V223954 + 1. assign V080699 = V560767 + 1. assign V606924 = V537367 - 1. assign V204884 = V062789. assign V738676 = V163281. assign V380930 = V173148 + 1. assign V529104 = V567173 - 1. assign V756421 = V863793. assign V915679 = V198900. assign V959587 = V927494 - 1. assign V198900 = V393114. assign V970509 = V916089 - 1. assign V054310 = V407319 + 1. assign V178830 = V931634 - 1. assign V587023 = V552288. assign V676582 = V911555. assign V671896 = V891756 + 1. assign V688425 = V846150 + 1. assign V863793 = V407319 + 1. assign V908566 = V095308. assign V805653 = V248002 - 1. assign V438275 = V718291 + 1. assign V999752 = V395466 - 1. assign V197425 = V595228 - 1. assign V124560 = V786026 - 1. assign V664111 = V186607 + 1. assign V690279 = V573170 + 1. assign V682162 = V567488 + 1. assign V667679 = V583759. assign V400489 = V435583 + 1. assign V718291 = V179782 - 1. assign V603731 = V539678 + 1. assign V773122 = V412858. assign V456964 = V412858 + 1. assign V334210 = V395466 - 1. assign V934461 = V573170. assign V144640 = V920541 + 1. assign V412858 = V927494. assign V224882 = V093061. assign V361056 = V805518 + 1. assign V468349 = V212638 + 1. assign V224663 = V874684 + 1. assign V657825 = V801945 - 1. assign V948003 = V680986. assign V971592 = V773302. assign V067805 = V035990 + 1. assign V016394 = V023504. assign V001353 = V584519 - 1. assign V707374 = V212638 + 1. assign V765424 = V750208 - 1. assign V351353 = V571119 - 1. assign V967712 = V874684. assign V313128 = V584519 - 1. assign V569596 = V874684. assign V913761 = V873505. assign V100976 = V738676. assign V301447 = V306148 + 1. assign V209009 = V178198 - 1. assign V629006 = V514482 - 1. assign V878020 = V406771 - 1. assign V539678 = V468349 - 1. assign V818031 = V927494. assign V680986 = V916089 + 1. assign V393599 = V322841. assign V703019 = V675921. assign V494338 = V738676. assign V994366 = V644642 - 1. assign V363296 = V683254. assign V418298 = V645246 + 1. assign V917981 = V275455 + 1. assign V238838 = V163281. assign V005447 = V229319 + 1. assign V822809 = V901351 - 1. assign V092249 = V818031. assign V801945 = V163281 + 1. assign V017693 = V306148 - 1. assign V378553 = V400489 + 1. assign V229319 = V095308 + 1. assign V452681 = V675921. assign V817096 = V974536. assign V825838 = V878020 + 1. assign V635636 = V683254 + 1. assign V808376 = V715007 - 1. assign V145616 = V808376 - 1. assign V683254 = V163281. assign V469575 = V248002. assign V926105 = V560767. assign V707605 = V407319 - 1. assign V891756 = V602984. assign V681531 = V461879 + 1. assign V021978 = V794240. assign V642331 = V313128. assign V733383 = V720231 - 1. assign V420729 = V092249 + 1. assign V863193 = V288478 - 1. assign V284279 = V916089 + 1. assign V784179 = V407319. assign V949225 = V054627 + 1. assign V494570 = V707374 + 1. assign V306148 = V130830 + 1. assign V909656 = V471934 + 1. assign V450781 = V529104 + 1. assign V387816 = V069791 + 1. assign V042648 = V154868 + 1. assign V461879 = V846150. assign V899544 = V178830. assign V928826 = V805518. assign V602126 = V296932 + 1. assign V130830 = V003084. assign V774911 = V209009. assign V064968 = V927494 + 1. assign V547166 = V144640 + 1. assign V665199 = V232594 + 1. assign V158576 = V539678. assign V592743 = V248059. assign V252301 = V143213 + 1. assign V567455 = V006395. assign V069449 = V226124 - 1. assign V786709 = V064968 + 1. assign V471934 = V947292. assign V644642 = V568352 - 1. assign V223551 = V720231 + 1. assign V802352 = V756495 + 1. assign V874210 = V567488 - 1. assign V097417 = V602126. assign V602984 = V916089 - 1. assign V255190 = V598602 + 1. assign V611038 = V115928 - 1. assign V407319 = V466765 - 1. assign V323905 = V683254 + 1. assign V154728 = V236081 - 1. assign V136842 = V153111. assign V054627 = V920541 + 1. assign V834931 = V113157 + 1. assign V854764 = V937523. assign V331953 = V571119 - 1. assign V689416 = V153111 + 1. assign V730655 = V255190 - 1. assign V542733 = V400621. assign V449854 = V408369. assign V910788 = V248002 + 1. assign V981428 = V449854 - 1. assign V154868 = V850462. assign V786845 = V773122 - 1. assign V773302 = V229319 - 1. assign V178198 = V070928 + 1. assign V283786 = V165086 - 1. assign V642127 = V560767 + 1. assign V760733 = V311249. assign V395466 = V777117 + 1. assign V165086 = V540656 - 1. assign V820659 = V223872. assign V236081 = V908566. assign V232594 = V197886 - 1. assign V728885 = V739146 + 1. assign V217202 = V665199 + 1. assign V574444 = V568352 + 1. assign V883645 = V927494. assign V456632 = V947292 + 1. assign V992542 = V703019 + 1. assign V455225 = V468349 - 1. assign V226124 = V540656 + 1. assign V868408 = V154868 - 1. assign V652383 = V455225 + 1. assign V739146 = V427044. assign V093061 = V412858 + 1. assign V901351 = V750208. assign V382705 = V093348. assign V197886 = V874210. assign V947714 = V970509 + 1. assign V988643 = V145616 + 1. assign V819470 = V156244 + 1. assign V959290 = V095308 - 1. assign V857455 = V602126 - 1. assign V095308 = V920541. assign V179782 = V777117 + 1. assign V636517 = V584519. assign V701543 = V361056 - 1. assign V386928 = V591170. assign V071914 = V665199. assign V223872 = V540656 - 1. assign V873505 = V427044 - 1. assign V704862 = V431273 + 1. assign V750208 = V738676 - 1. assign V628749 = V587023 - 1. assign V109297 = V773302 + 1. assign V584519 = V974536 - 1. assign V560767 = V675921. assign V700869 = V363296 + 1. assign V868881 = V874684. assign V051906 = V703019 + 1. assign V173148 = V054627 + 1. assign V143213 = V738676 + 1. assign V552288 = V064968 - 1. assign V973698 = V163281 + 1. assign V567488 = V927494 - 1. assign V769872 = V689416. assign V490495 = V934461 + 1. assign V777117 = V539678 + 1. assign V087285 = V642127. assign V296932 = V003084 - 1. assign V839460 = V301447 + 1. assign V508195 = V598602 + 1. assign V958368 = V069791. assign V928202 = V456632 - 1. assign V524844 = V927494 - 1. assign V466765 = V910788. assign V808649 = V539678. assign V496555 = V598602 - 1. assign V137328 = V412858 + 1. assign V231774 = V805653 - 1. assign V288478 = V727183 + 1. assign V007618 = V054627. assign V829702 = V750208 - 1. assign V850462 = V683254. assign V931634 = V069791 - 1. assign V322841 = V642127 - 1. assign V003846 = V537367 - 1. assign V540656 = V815254. assign V751555 = V400621 + 1. assign V163281 = V468349. assign V062789 = V539678 - 1. assign V675921 = V296932. assign V921547 = V005447. assign V004755 = V386928 + 1. assign V391549 = V064968. assign V541011 = V406771. assign V468750 = V178830 + 1. assign V136326 = V248002. assign V156244 = V552106. assign V727183 = V054627 + 1. assign V079308 = V178198 - 1. assign V446181 = V071914 + 1. assign V815254 = V215430 + 1. assign V427044 = V882673. assign V852845 = V400489. assign V115928 = V468349. assign V612409 = V635636. assign V069791 = V212638 + 1. assign V658219 = V097417 - 1. assign V882673 = V675921 + 1. assign V949356 = V724399 - 1. assign V003084 = V468349 - 1. assign V594678 = V035990 + 1. assign V223954 = V539678 + 1. assign V106133 = V966357 - 1. assign V491688 = V584519 + 1. assign V317341 = V756495 - 1. assign V662606 = V949225. assign V715007 = V539678. assign V785236 = V306148. assign V958403 = V703019. assign V186607 = V874210 - 1. assign V552106 = V455225 + 1. assign V479709 = V080699 + 1. assign V794240 = V212638 - 1. assign V187224 = V904363 + 1. assign V846150 = V786709 + 1. assign V514739 = V750208 + 1. assign V710692 = V947714 - 1. assign V650011 = V690279. assign V026418 = V452681 - 1. assign V598602 = V901351 - 1. assign V874684 = V158576 + 1. assign V921257 = V642127. assign V911555 = V051906 - 1. assign V247678 = V970509 - 1. assign V093348 = V874684 + 1. assign V033189 = V301447 - 1. assign V937523 = V186607 - 1. assign V568352 = V573170 - 1. assign V183570 = V016394 + 1. assign V942084 = V062789 + 1. assign V583759 = V850462 - 1. assign V104495 = V154868 + 1. assign V536986 = V461879 - 1. assign V939750 = V895753 + 1. assign V275455 = V801945 - 1. assign V573170 = V163281. assign V904363 = V154868 + 1. assign V153111 = V738676 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV215430 = 2;\n\nFrom these direct assignment(s), we have: \nV815254 = V215430 + 1 = 2 + 1 =3;\nV540656 = V815254 = 3;\nV223872 = V540656 - 1 = 3 - 1 =2;\nV820659 = V223872 = 2;\nNo other varaibles can be derived from V820659;\nNo other varaibles can be derived from V223872;\nV226124 = V540656 + 1 = 3 + 1 =4;\nV069449 = V226124 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V069449;\nNo other varaibles can be derived from V226124;\nV165086 = V540656 - 1 = 3 - 1 =2;\nV283786 = V165086 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V283786;\nNo other varaibles can be derived from V165086;\nNo other varaibles can be derived from V540656;\nV201479 = V815254 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V201479;\nNo other varaibles can be derived from V815254;\nNo other varaibles can be derived from V215430;\n\nNow we have done all the calculations. Derived variables are:\nV215430 = 2;\nV815254 = 3;\nV540656 = 3;\nV223872 = 2;\nV820659 = 2;\nV226124 = 4;\nV069449 = 3;\nV165086 = 2;\nV283786 = 1;\nV201479 = 4;\n\nNow we have finished this problem. ANSWER:\nV815254, V540656, V069449\n", "role": "assistant" } ]

[ "V001163", "V523797", "V456878", "V719353" ]

[ { "content": "<context>\nassign V839198 = V189909. assign V821025 = V069544 - 1. assign V326422 = V270208 - 1. assign V668316 = V043308 + 1. assign V973141 = V829351 - 1. assign V748154 = V120818. assign V232385 = V249538. assign V826808 = V191826 - 1. assign V544343 = V522531. assign V063746 = V338207 - 1. assign V830480 = V595392. assign V343794 = V636892 + 1. assign V126730 = V247709 + 1. assign V260521 = V378361 + 1. assign V652070 = V955653 - 1. assign V667251 = V140625. assign V334380 = V331093 + 1. assign V645024 = V763142 - 1. assign V412111 = V247709. assign V645993 = V803214 + 1. assign V680791 = V927242 + 1. assign V870096 = V995452 - 1. assign V618835 = V341701 + 1. assign V624995 = V294123. assign V229341 = V247709. assign V304592 = V404825 + 1. assign V948931 = V260521 - 1. assign V191826 = V267358 - 1. assign V512908 = V249538 - 1. assign V383211 = V698083 - 1. assign V656582 = V415559. assign V297416 = V837856. assign V096821 = V778974 + 1. assign V517189 = V755326. assign V818732 = V985805 - 1. assign V933591 = V644422 - 1. assign V224491 = V652070. assign V685528 = V436661. assign V268362 = V918251. assign V042209 = V544343. assign V131784 = V950891 - 1. assign V086319 = V767385 + 1. assign V839675 = V128770. assign V750335 = V826808. assign V700430 = V331093 - 1. assign V267358 = V412111 - 1. assign V801298 = V008763. assign V539451 = V763142 + 1. assign V277138 = V927242. assign V939581 = V762721 - 1. assign V755919 = V362254 + 1. assign V140625 = V545760 + 1. assign V950891 = V399999 - 1. assign V700582 = V644422 - 1. assign V680064 = V334380 + 1. assign V781435 = V795021. assign V025961 = V334380 + 1. assign V435411 = V582601. assign V837856 = V763142. assign V512842 = V651234. assign V112418 = V803214 - 1. assign V804384 = V150621 + 1. assign V947272 = V348423 - 1. assign V522531 = V229341 + 1. assign V958434 = V468997. assign V500288 = V625581. assign V882004 = V444359. assign V580976 = V152785 + 1. assign V840295 = V436661 - 1. assign V536870 = V229341. assign V698083 = V165531 + 1. assign V270208 = V786426. assign V588957 = V241260. assign V939177 = V174745. assign V336859 = V927242. assign V984754 = V595392 - 1. assign V681220 = V174745 + 1. assign V543140 = V755919 + 1. assign V194790 = V080481 + 1. assign V961222 = V175981 - 1. assign V239324 = V938905 - 1. assign V950951 = V249538 - 1. assign V596033 = V491418. assign V017415 = V135248 - 1. assign V964604 = V267358 - 1. assign V001619 = V545760 - 1. assign V456878 = V126763 - 1. assign V043308 = V725453 - 1. assign V136196 = V304592 + 1. assign V414146 = V755919. assign V019814 = V277642. assign V778974 = V304592. assign V600207 = V148550 - 1. assign V122943 = V939382. assign V469034 = V539451 + 1. assign V677372 = V130404 + 1. assign V395349 = V786426. assign V436661 = V399296 + 1. assign V735950 = V285580 - 1. assign V623254 = V730150. assign V869707 = V259716 - 1. assign V064075 = V725453. assign V225166 = V148550. assign V331093 = V247709 - 1. assign V156560 = V762721 + 1. assign V007629 = V829351 + 1. assign V750392 = V536870 + 1. assign V377888 = V291318 - 1. assign V139934 = V786426 - 1. assign V410915 = V518648 + 1. assign V863492 = V009703 + 1. assign V474955 = V120818 + 1. assign V251806 = V565188 - 1. assign V253627 = V399296. assign V681679 = V191826. assign V593758 = V249246. assign V150046 = V447082 + 1. assign V491418 = V815514. assign V890005 = V788434 + 1. assign V333776 = V795021 + 1. assign V378361 = V331093 + 1. assign V037756 = V096821 + 1. assign V215761 = V191826 + 1. assign V080481 = V120818 - 1. assign V259716 = V283241 - 1. assign V178826 = V493171. assign V767385 = V130404. assign V554197 = V680187 - 1. assign V524331 = V481322. assign V680522 = V280809 - 1. assign V644422 = V481322 - 1. assign V399296 = V539451. assign V454557 = V378361 + 1. assign V739567 = V362254. assign V755326 = V927242 - 1. assign V296325 = V096821 - 1. assign V874821 = V130404. assign V169717 = V829351 - 1. assign V719353 = V523797. assign V406841 = V651234 + 1. assign V473704 = V366017 - 1. assign V786426 = V739824 + 1. assign V288531 = V128770 - 1. assign V291318 = V277642. assign V384954 = V439150 + 1. assign V918251 = V487312 - 1. assign V595392 = V603782 - 1. assign V615328 = V735950 + 1. assign V128770 = V512908. assign V292037 = V294123 + 1. assign V549884 = V521003. assign V459039 = V225166. assign V762721 = V544343. assign V747661 = V524331 + 1. assign V297918 = V698083 + 1. assign V493171 = V680791 - 1. assign V771953 = V447082. assign V670831 = V595392. assign V232533 = V412111 - 1. assign V063104 = V378361 - 1. assign V055805 = V623254 - 1. assign V165531 = V069544. assign V008763 = V778974 - 1. assign V955653 = V404825 + 1. assign V914661 = V894031 + 1. assign V531079 = V414146 - 1. assign V394386 = V017415. assign V723057 = V780544. assign V763142 = V412111 + 1. assign V829351 = V140625. assign V626783 = V283241 + 1. assign V803214 = V135248 - 1. assign V565188 = V711782. assign V630096 = V135248 - 1. assign V366138 = V326422 + 1. assign V174745 = V801298. assign V447082 = V341701 - 1. assign V491543 = V739824. assign V050384 = V630096 + 1. assign V518648 = V473704 + 1. assign V781434 = V724436 + 1. assign V884859 = V645024. assign V326928 = V338207. assign V755467 = V055805 - 1. assign V338561 = V909750 - 1. assign V970043 = V938582. assign V595084 = V378361. assign V112845 = V933591 - 1. assign V135316 = V583218. assign V894031 = V762721 + 1. assign V795021 = V651234 + 1. assign V191455 = V636892. assign V283675 = V890005. assign V086239 = V524475 + 1. assign V338207 = V995452 + 1. assign V385788 = V938905 + 1. assign V404825 = V126730. assign V795148 = V135248. assign V780544 = V645024 - 1. assign V124107 = V366138. assign V283241 = V436661. assign V500556 = V512842. assign V355587 = V229341. assign V439208 = V927242. assign V148132 = V456878 + 1. assign V306806 = V253627 - 1. assign V938582 = V680187. assign V599749 = V297918 + 1. assign V524475 = V512908 + 1. assign V160762 = V651234 - 1. assign V372827 = V483864 - 1. assign V241260 = V280809 - 1. assign V582601 = V130404 + 1. assign V278059 = V225166. assign V299258 = V637782. assign V583218 = V813171 + 1. assign V533306 = V939382. assign V380792 = V995452 - 1. assign V938045 = V839675. assign V747515 = V582601. assign V909669 = V995452 + 1. assign V723866 = V224491 - 1. assign V617316 = V148550 + 1. assign V676853 = V098662. assign V725453 = V253627 - 1. assign V487312 = V724422 - 1. assign V930914 = V767385. assign V152785 = V995452 + 1. assign V517092 = V723866. assign V257253 = V283241 - 1. assign V960091 = V277642 - 1. assign V915123 = V130404 - 1. assign V896062 = V808515 - 1. assign V007745 = V700582 - 1. assign V680187 = V750335. assign V542791 = V778974 + 1. assign V052486 = V762721 + 1. assign V139227 = V120818 + 1. assign V724436 = V778974. assign V425479 = V399296 - 1. assign V637782 = V870096 - 1. assign V250038 = V009703. assign V001163 = V970737 - 1. assign V415559 = V326928 + 1. assign V938905 = V412111. assign V711233 = V849081 + 1. assign V861386 = V913580 - 1. assign V294123 = V399296. assign V093858 = V259716 + 1. assign V724422 = V755326. assign V561711 = V618835 - 1. assign V252370 = V481268 + 1. assign V909750 = V086239. assign V939382 = V739824 - 1. assign V444359 = V122943 + 1. assign V484800 = V839675 - 1. assign V366017 = V786426. assign V815514 = V617316 + 1. assign V867510 = V849081 - 1. assign V544968 = V839198 - 1. assign V348423 = V120818 - 1. assign V249246 = V399999 + 1. assign V277642 = V165531. assign V130404 = V724422. assign V787028 = V762721 - 1. assign V205923 = V939382. assign V879214 = V730150 + 1. assign V150621 = V870096. assign V483864 = V918251 - 1. assign V521003 = V544343 - 1. assign V887899 = V120818 - 1. assign V086106 = V385788. assign V057947 = V915123 - 1. assign V934394 = V415559 - 1. assign V341701 = V069544 + 1. assign V098662 = V229341 - 1. assign V814567 = V015096. assign V295510 = V767385. assign V818294 = V377888 + 1. assign V774442 = V150621. assign V890039 = V459039 + 1. assign V826812 = V755919 + 1. assign V856778 = V890005. assign V730150 = V739824 - 1. assign V468997 = V306806 - 1. assign V523797 = V001163. assign V765153 = V399999. assign V182128 = V043308. assign V148550 = V788434. assign V154140 = V008763 - 1. assign V772898 = V304592 - 1. assign V104698 = V750335. assign V399999 = V404825 + 1. assign V636892 = V280809 - 1. assign V075445 = V229341 + 1. assign V027796 = V580976 + 1. assign V481268 = V037756 + 1. assign V253782 = V637782 - 1. assign V362254 = V412111 - 1. assign V009703 = V730150. assign V839897 = V378361. assign V808515 = V015096. assign V752974 = V821025 + 1. assign V120818 = V755919 + 1. assign V813171 = 4. assign V974928 = V175981 - 1. assign V545760 = V436661 - 1. assign V249538 = V412111. assign V905805 = V336859. assign V490684 = V326422. assign V913580 = V140625 - 1. assign V985805 = V225166 - 1. assign V927242 = V399999. assign V069544 = V404825. assign V711782 = V326422 - 1. assign V015096 = V294123. assign V280809 = V939382 - 1. assign V603782 = V120818 - 1. assign V788434 = V870096. assign V347857 = V512842. assign V481322 = V362254 + 1. assign V189909 = V786426 - 1. assign V068366 = V739824 - 1. assign V106984 = V767385 + 1. assign V520504 = V544343. assign V354616 = V950951. assign V135248 = V995452 + 1. assign V175981 = V304592. assign V933461 = V378361 - 1. assign V970737 = V813171. assign V294197 = V383211 + 1. assign V553361 = V341701 - 1. assign V285580 = V247709 - 1. assign V849081 = V136196 + 1. assign V545146 = V253782 + 1. assign V651234 = V285580 - 1. assign V930801 = V019814. assign V326638 = V985805. assign V739824 = V763142 - 1. assign V625581 = V544343 + 1. assign V995452 = V126730 - 1. assign V336747 = V283241 - 1. assign V708252 = V913580. assign V371210 = V395349 + 1. assign V595553 = V652070 - 1. assign V792038 = V755326. assign V020347 = V069544 - 1. assign V486029 = V017415 - 1. assign V126763 = V001163 + 1. assign V521722 = V815514 - 1. assign V439150 = V624995.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V839198 = V189909. assign V821025 = V069544 - 1. assign V326422 = V270208 - 1. assign V668316 = V043308 + 1. assign V973141 = V829351 - 1. assign V748154 = V120818. assign V232385 = V249538. assign V826808 = V191826 - 1. assign V544343 = V522531. assign V063746 = V338207 - 1. assign V830480 = V595392. assign V343794 = V636892 + 1. assign V126730 = V247709 + 1. assign V260521 = V378361 + 1. assign V652070 = V955653 - 1. assign V667251 = V140625. assign V334380 = V331093 + 1. assign V645024 = V763142 - 1. assign V412111 = V247709. assign V645993 = V803214 + 1. assign V680791 = V927242 + 1. assign V870096 = V995452 - 1. assign V618835 = V341701 + 1. assign V624995 = V294123. assign V229341 = V247709. assign V304592 = V404825 + 1. assign V948931 = V260521 - 1. assign V191826 = V267358 - 1. assign V512908 = V249538 - 1. assign V383211 = V698083 - 1. assign V656582 = V415559. assign V297416 = V837856. assign V096821 = V778974 + 1. assign V517189 = V755326. assign V818732 = V985805 - 1. assign V933591 = V644422 - 1. assign V224491 = V652070. assign V685528 = V436661. assign V268362 = V918251. assign V042209 = V544343. assign V131784 = V950891 - 1. assign V086319 = V767385 + 1. assign V839675 = V128770. assign V750335 = V826808. assign V700430 = V331093 - 1. assign V267358 = V412111 - 1. assign V801298 = V008763. assign V539451 = V763142 + 1. assign V277138 = V927242. assign V939581 = V762721 - 1. assign V755919 = V362254 + 1. assign V140625 = V545760 + 1. assign V950891 = V399999 - 1. assign V700582 = V644422 - 1. assign V680064 = V334380 + 1. assign V781435 = V795021. assign V025961 = V334380 + 1. assign V435411 = V582601. assign V837856 = V763142. assign V512842 = V651234. assign V112418 = V803214 - 1. assign V804384 = V150621 + 1. assign V947272 = V348423 - 1. assign V522531 = V229341 + 1. assign V958434 = V468997. assign V500288 = V625581. assign V882004 = V444359. assign V580976 = V152785 + 1. assign V840295 = V436661 - 1. assign V536870 = V229341. assign V698083 = V165531 + 1. assign V270208 = V786426. assign V588957 = V241260. assign V939177 = V174745. assign V336859 = V927242. assign V984754 = V595392 - 1. assign V681220 = V174745 + 1. assign V543140 = V755919 + 1. assign V194790 = V080481 + 1. assign V961222 = V175981 - 1. assign V239324 = V938905 - 1. assign V950951 = V249538 - 1. assign V596033 = V491418. assign V017415 = V135248 - 1. assign V964604 = V267358 - 1. assign V001619 = V545760 - 1. assign V456878 = V126763 - 1. assign V043308 = V725453 - 1. assign V136196 = V304592 + 1. assign V414146 = V755919. assign V019814 = V277642. assign V778974 = V304592. assign V600207 = V148550 - 1. assign V122943 = V939382. assign V469034 = V539451 + 1. assign V677372 = V130404 + 1. assign V395349 = V786426. assign V436661 = V399296 + 1. assign V735950 = V285580 - 1. assign V623254 = V730150. assign V869707 = V259716 - 1. assign V064075 = V725453. assign V225166 = V148550. assign V331093 = V247709 - 1. assign V156560 = V762721 + 1. assign V007629 = V829351 + 1. assign V750392 = V536870 + 1. assign V377888 = V291318 - 1. assign V139934 = V786426 - 1. assign V410915 = V518648 + 1. assign V863492 = V009703 + 1. assign V474955 = V120818 + 1. assign V251806 = V565188 - 1. assign V253627 = V399296. assign V681679 = V191826. assign V593758 = V249246. assign V150046 = V447082 + 1. assign V491418 = V815514. assign V890005 = V788434 + 1. assign V333776 = V795021 + 1. assign V378361 = V331093 + 1. assign V037756 = V096821 + 1. assign V215761 = V191826 + 1. assign V080481 = V120818 - 1. assign V259716 = V283241 - 1. assign V178826 = V493171. assign V767385 = V130404. assign V554197 = V680187 - 1. assign V524331 = V481322. assign V680522 = V280809 - 1. assign V644422 = V481322 - 1. assign V399296 = V539451. assign V454557 = V378361 + 1. assign V739567 = V362254. assign V755326 = V927242 - 1. assign V296325 = V096821 - 1. assign V874821 = V130404. assign V169717 = V829351 - 1. assign V719353 = V523797. assign V406841 = V651234 + 1. assign V473704 = V366017 - 1. assign V786426 = V739824 + 1. assign V288531 = V128770 - 1. assign V291318 = V277642. assign V384954 = V439150 + 1. assign V918251 = V487312 - 1. assign V595392 = V603782 - 1. assign V615328 = V735950 + 1. assign V128770 = V512908. assign V292037 = V294123 + 1. assign V549884 = V521003. assign V459039 = V225166. assign V762721 = V544343. assign V747661 = V524331 + 1. assign V297918 = V698083 + 1. assign V493171 = V680791 - 1. assign V771953 = V447082. assign V670831 = V595392. assign V232533 = V412111 - 1. assign V063104 = V378361 - 1. assign V055805 = V623254 - 1. assign V165531 = V069544. assign V008763 = V778974 - 1. assign V955653 = V404825 + 1. assign V914661 = V894031 + 1. assign V531079 = V414146 - 1. assign V394386 = V017415. assign V723057 = V780544. assign V763142 = V412111 + 1. assign V829351 = V140625. assign V626783 = V283241 + 1. assign V803214 = V135248 - 1. assign V565188 = V711782. assign V630096 = V135248 - 1. assign V366138 = V326422 + 1. assign V174745 = V801298. assign V447082 = V341701 - 1. assign V491543 = V739824. assign V050384 = V630096 + 1. assign V518648 = V473704 + 1. assign V781434 = V724436 + 1. assign V884859 = V645024. assign V326928 = V338207. assign V755467 = V055805 - 1. assign V338561 = V909750 - 1. assign V970043 = V938582. assign V595084 = V378361. assign V112845 = V933591 - 1. assign V135316 = V583218. assign V894031 = V762721 + 1. assign V795021 = V651234 + 1. assign V191455 = V636892. assign V283675 = V890005. assign V086239 = V524475 + 1. assign V338207 = V995452 + 1. assign V385788 = V938905 + 1. assign V404825 = V126730. assign V795148 = V135248. assign V780544 = V645024 - 1. assign V124107 = V366138. assign V283241 = V436661. assign V500556 = V512842. assign V355587 = V229341. assign V439208 = V927242. assign V148132 = V456878 + 1. assign V306806 = V253627 - 1. assign V938582 = V680187. assign V599749 = V297918 + 1. assign V524475 = V512908 + 1. assign V160762 = V651234 - 1. assign V372827 = V483864 - 1. assign V241260 = V280809 - 1. assign V582601 = V130404 + 1. assign V278059 = V225166. assign V299258 = V637782. assign V583218 = V813171 + 1. assign V533306 = V939382. assign V380792 = V995452 - 1. assign V938045 = V839675. assign V747515 = V582601. assign V909669 = V995452 + 1. assign V723866 = V224491 - 1. assign V617316 = V148550 + 1. assign V676853 = V098662. assign V725453 = V253627 - 1. assign V487312 = V724422 - 1. assign V930914 = V767385. assign V152785 = V995452 + 1. assign V517092 = V723866. assign V257253 = V283241 - 1. assign V960091 = V277642 - 1. assign V915123 = V130404 - 1. assign V896062 = V808515 - 1. assign V007745 = V700582 - 1. assign V680187 = V750335. assign V542791 = V778974 + 1. assign V052486 = V762721 + 1. assign V139227 = V120818 + 1. assign V724436 = V778974. assign V425479 = V399296 - 1. assign V637782 = V870096 - 1. assign V250038 = V009703. assign V001163 = V970737 - 1. assign V415559 = V326928 + 1. assign V938905 = V412111. assign V711233 = V849081 + 1. assign V861386 = V913580 - 1. assign V294123 = V399296. assign V093858 = V259716 + 1. assign V724422 = V755326. assign V561711 = V618835 - 1. assign V252370 = V481268 + 1. assign V909750 = V086239. assign V939382 = V739824 - 1. assign V444359 = V122943 + 1. assign V484800 = V839675 - 1. assign V366017 = V786426. assign V815514 = V617316 + 1. assign V867510 = V849081 - 1. assign V544968 = V839198 - 1. assign V348423 = V120818 - 1. assign V249246 = V399999 + 1. assign V277642 = V165531. assign V130404 = V724422. assign V787028 = V762721 - 1. assign V205923 = V939382. assign V879214 = V730150 + 1. assign V150621 = V870096. assign V483864 = V918251 - 1. assign V521003 = V544343 - 1. assign V887899 = V120818 - 1. assign V086106 = V385788. assign V057947 = V915123 - 1. assign V934394 = V415559 - 1. assign V341701 = V069544 + 1. assign V098662 = V229341 - 1. assign V814567 = V015096. assign V295510 = V767385. assign V818294 = V377888 + 1. assign V774442 = V150621. assign V890039 = V459039 + 1. assign V826812 = V755919 + 1. assign V856778 = V890005. assign V730150 = V739824 - 1. assign V468997 = V306806 - 1. assign V523797 = V001163. assign V765153 = V399999. assign V182128 = V043308. assign V148550 = V788434. assign V154140 = V008763 - 1. assign V772898 = V304592 - 1. assign V104698 = V750335. assign V399999 = V404825 + 1. assign V636892 = V280809 - 1. assign V075445 = V229341 + 1. assign V027796 = V580976 + 1. assign V481268 = V037756 + 1. assign V253782 = V637782 - 1. assign V362254 = V412111 - 1. assign V009703 = V730150. assign V839897 = V378361. assign V808515 = V015096. assign V752974 = V821025 + 1. assign V120818 = V755919 + 1. assign V813171 = 4. assign V974928 = V175981 - 1. assign V545760 = V436661 - 1. assign V249538 = V412111. assign V905805 = V336859. assign V490684 = V326422. assign V913580 = V140625 - 1. assign V985805 = V225166 - 1. assign V927242 = V399999. assign V069544 = V404825. assign V711782 = V326422 - 1. assign V015096 = V294123. assign V280809 = V939382 - 1. assign V603782 = V120818 - 1. assign V788434 = V870096. assign V347857 = V512842. assign V481322 = V362254 + 1. assign V189909 = V786426 - 1. assign V068366 = V739824 - 1. assign V106984 = V767385 + 1. assign V520504 = V544343. assign V354616 = V950951. assign V135248 = V995452 + 1. assign V175981 = V304592. assign V933461 = V378361 - 1. assign V970737 = V813171. assign V294197 = V383211 + 1. assign V553361 = V341701 - 1. assign V285580 = V247709 - 1. assign V849081 = V136196 + 1. assign V545146 = V253782 + 1. assign V651234 = V285580 - 1. assign V930801 = V019814. assign V326638 = V985805. assign V739824 = V763142 - 1. assign V625581 = V544343 + 1. assign V995452 = V126730 - 1. assign V336747 = V283241 - 1. assign V708252 = V913580. assign V371210 = V395349 + 1. assign V595553 = V652070 - 1. assign V792038 = V755326. assign V020347 = V069544 - 1. assign V486029 = V017415 - 1. assign V126763 = V001163 + 1. assign V521722 = V815514 - 1. assign V439150 = V624995.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV813171 = 4;\n\nFrom these direct assignment(s), we have: \nV970737 = V813171 = 4;\nV001163 = V970737 - 1 = 4 - 1 =3;\nV126763 = V001163 + 1 = 3 + 1 =4;\nV456878 = V126763 - 1 = 4 - 1 =3;\nV148132 = V456878 + 1 = 3 + 1 =4;\nNo other varaibles can be derived from V148132;\nNo other varaibles can be derived from V456878;\nNo other varaibles can be derived from V126763;\nV523797 = V001163 = 3;\nV719353 = V523797 = 3;\nNo other varaibles can be derived from V719353;\nNo other varaibles can be derived from V523797;\nNo other varaibles can be derived from V001163;\nNo other varaibles can be derived from V970737;\nV583218 = V813171 + 1 = 4 + 1 =5;\nV135316 = V583218 = 5;\nNo other varaibles can be derived from V135316;\nNo other varaibles can be derived from V583218;\nNo other varaibles can be derived from V813171;\n\nNow we have done all the calculations. Derived variables are:\nV813171 = 4;\nV970737 = 4;\nV001163 = 3;\nV126763 = 4;\nV456878 = 3;\nV148132 = 4;\nV523797 = 3;\nV719353 = 3;\nV583218 = 5;\nV135316 = 5;\n\nNow we have finished this problem. ANSWER:\nV001163, V456878, V523797, V719353\n", "role": "assistant" } ]

[ "V722964", "V581663", "V876789" ]

[ { "content": "<context>\nassign V798332 = V907231. assign V808767 = V882007 + 1. assign V062029 = V957914. assign V374645 = V496424 - 1. assign V208449 = V022156 - 1. assign V132916 = V693604 - 1. assign V704810 = V943733 + 1. assign V257497 = V197815. assign V700939 = V488585. assign V985774 = V763150. assign V552431 = V253002 + 1. assign V865286 = V398787 - 1. assign V340827 = V563571 + 1. assign V185804 = V604954 - 1. assign V906963 = V421690 + 1. assign V470281 = V675345 + 1. assign V443648 = V661838 - 1. assign V058104 = V635062 - 1. assign V573230 = V635062 - 1. assign V398787 = V883091 - 1. assign V661838 = V440655. assign V758514 = V798332 + 1. assign V824879 = V096876 + 1. assign V427538 = V363907 - 1. assign V887715 = V626838. assign V398564 = V166280 + 1. assign V883091 = V853456 + 1. assign V423048 = V171476 - 1. assign V943733 = V253002 - 1. assign V887127 = V911157 + 1. assign V164027 = V136367 - 1. assign V034214 = V479603 + 1. assign V730360 = V439336. assign V243216 = V573230. assign V998921 = V693604. assign V492902 = V242421. assign V982932 = V996846 + 1. assign V665787 = V780714 + 1. assign V560211 = V435519 + 1. assign V724881 = V657888. assign V884865 = V886484 - 1. assign V267926 = V886484. assign V607910 = V748325 + 1. assign V635062 = V532455 + 1. assign V598118 = V195716. assign V007435 = V308410 - 1. assign V434475 = V568393 + 1. assign V038751 = V132916 - 1. assign V744023 = V013312 + 1. assign V676131 = V880223. assign V160166 = V693604. assign V319639 = V473908. assign V642251 = V341143 - 1. assign V293784 = V780714 + 1. assign V510831 = V242421. assign V643735 = V532455 + 1. assign V553016 = V479603 + 1. assign V403272 = V860520. assign V000823 = V210905 - 1. assign V985290 = V346425 - 1. assign V723694 = V552431 - 1. assign V316123 = V062029 + 1. assign V463296 = V298173 - 1. assign V278772 = V723694 + 1. assign V926743 = V403272 - 1. assign V563571 = V836689. assign V183495 = V661838 - 1. assign V922305 = V073458 - 1. assign V346425 = V532554. assign V302745 = V665787. assign V922015 = V665787 - 1. assign V939880 = V672676 + 1. assign V896239 = V692077 - 1. assign V773209 = V883798. assign V298173 = V886630 - 1. assign V568298 = V062029 + 1. assign V976514 = V724887 + 1. assign V795059 = V488585 + 1. assign V268401 = V440655 - 1. assign V594855 = V695651 - 1. assign V878347 = V166280 - 1. assign V065358 = V552431 + 1. assign V651389 = V360525 + 1. assign V341143 = V473912 + 1. assign V264342 = V164317 - 1. assign V454212 = V557420 + 1. assign V866875 = V473908. assign V656784 = V065358 + 1. assign V849956 = V957914. assign V496424 = V287338. assign V874208 = V957914 + 1. assign V501169 = V363907 + 1. assign V297856 = V327367. assign V860520 = V722964 - 1. assign V312273 = V878347. assign V078425 = V964331 - 1. assign V886630 = V532455 - 1. assign V161942 = V376140. assign V602289 = V578722 + 1. assign V894094 = V796760 - 1. assign V447292 = V421690. assign V951034 = V957914 - 1. assign V886484 = V396078 - 1. assign V242683 = V388641 - 1. assign V532455 = V532554 + 1. assign V364192 = V311019 - 1. assign V693604 = V835804. assign V794672 = V614593 + 1. assign V817381 = V164317. assign V901205 = V877054. assign V903317 = V693604 + 1. assign V275764 = V860431 - 1. assign V896059 = V532455 - 1. assign V312237 = V884865. assign V499591 = V439336 + 1. assign V150574 = V021223 + 1. assign V626838 = V532627 + 1. assign V010083 = V661838. assign V311019 = V957914 + 1. assign V439336 = V886630 + 1. assign V107205 = V886484 - 1. assign V473912 = V573230 - 1. assign V171476 = V473912. assign V466830 = V164317. assign V101268 = V568298 + 1. assign V195716 = V020997. assign V118011 = V887715 - 1. assign V763184 = V495270 - 1. assign V179207 = V780714 - 1. assign V488585 = V287338. assign V338688 = V939880. assign V576969 = V102281. assign V367914 = V398564 - 1. assign V296945 = V320687 - 1. assign V043686 = V501169 - 1. assign V187317 = V527903 + 1. assign V192262 = V763150 - 1. assign V510842 = V661838. assign V355835 = V316123. assign V882007 = V264342 - 1. assign V369950 = V166280. assign V594911 = V784153 - 1. assign V479603 = V907231 - 1. assign V137379 = V473908 + 1. assign V581663 = V722964. assign V527903 = V078425 - 1. assign V363907 = V692077 + 1. assign V857247 = V982932 + 1. assign V551659 = V058104. assign V040692 = V013401. assign V315538 = V676131 + 1. assign V020997 = V720214 - 1. assign V654359 = V886484 - 1. assign V102281 = V744023 - 1. assign V532876 = V013312 + 1. assign V005696 = V808767. assign V614593 = V882007 + 1. assign V594568 = V780714. assign V907231 = V552431. assign V297980 = V096876. assign V836689 = V586430 + 1. assign V657888 = V388641. assign V040135 = V780714. assign V707333 = V763184. assign V599448 = V758514. assign V597203 = V951034. assign V876789 = V403272 + 1. assign V482132 = V264342 + 1. assign V084351 = V676131 + 1. assign V495760 = V363907 + 1. assign V473908 = V880223 + 1. assign V421690 = V880223. assign V911157 = V160166. assign V933659 = V506293. assign V249478 = V242683 - 1. assign V925327 = V707333 - 1. assign V796760 = V939880. assign V838357 = V040692. assign V506293 = V907231 - 1. assign V300867 = V499591 - 1. assign V021223 = V573230 - 1. assign V435098 = V706813 - 1. assign V341435 = V774197 - 1. assign V047528 = V220651. assign V331537 = V253002 + 1. assign V530460 = V532455. assign V705210 = V720214. assign V495270 = V723694 + 1. assign V799434 = V675345 + 1. assign V287338 = V907231 - 1. assign V880223 = V164317 - 1. assign V164317 = V748325. assign V916154 = V396078. assign V276353 = V364192. assign V643284 = V156828. assign V593180 = V880223. assign V657510 = V884865 - 1. assign V073458 = V327367. assign V327169 = V084351. assign V855973 = V774197 - 1. assign V706813 = V657888. assign V811357 = V107205 + 1. assign V877054 = V105161. assign V545199 = V817381 + 1. assign V891700 = V408214. assign V136367 = V021223 + 1. assign V594473 = V164027. assign V013312 = V439336. assign V643307 = V532627. assign V441174 = V723694 + 1. assign V278738 = V863949. assign V796204 = V276353 - 1. assign V877965 = V271922. assign V748325 = V532554 - 1. assign V071782 = V101268 - 1. assign V308410 = V022156 - 1. assign V371437 = V510842 - 1. assign V635370 = V164027 - 1. assign V589223 = V886630. assign V403824 = V506293 + 1. assign V271922 = V748325. assign V833045 = V160166 - 1. assign V451322 = V943733. assign V791722 = V242683 + 1. assign V892369 = V243216 + 1. assign V953733 = V078425. assign V388095 = V195716 + 1. assign V611230 = V439336 - 1. assign V595582 = V363907 - 1. assign V703001 = V692077. assign V230053 = V020997 - 1. assign V996846 = V880223. assign V412327 = V886484 - 1. assign V376140 = V724881. assign V124843 = V626838 + 1. assign V013401 = V932510. assign V670944 = V195716. assign V841318 = V388641 + 1. assign V720214 = V886630 + 1. assign V072174 = 3. assign V360525 = V833045. assign V635883 = V907231 - 1. assign V692077 = V886630 - 1. assign V532627 = V363907 + 1. assign V774197 = V763150 + 1. assign V694305 = V657888 + 1. assign V279939 = V506293. assign V626825 = V104066. assign V374066 = V010661 + 1. assign V351734 = V327367 + 1. assign V006414 = V607910 - 1. assign V124738 = V440655 - 1. assign V250218 = V479603. assign V763150 = V020997. assign V158729 = V164317 + 1. assign V709957 = V827401 - 1. assign V280732 = V338688 + 1. assign V396078 = V435519. assign V022156 = V164317 - 1. assign V827401 = V439336 - 1. assign V446723 = V755665. assign V512542 = V435519. assign V491006 = V441174 + 1. assign V755665 = V506293. assign V118749 = V976514. assign V130161 = V581663 - 1. assign V695651 = V013312. assign V254083 = V695651. assign V327367 = V293784 - 1. assign V221840 = V435098 + 1. assign V197815 = V499591 + 1. assign V672676 = V943733 + 1. assign V571328 = V794672. assign V035965 = V684452 - 1. assign V964331 = V511569. assign V171614 = V253002 - 1. assign V459777 = V985290. assign V104066 = V943733 - 1. assign V688203 = V887715. assign V511569 = V817381 - 1. assign V609370 = V957914 + 1. assign V210905 = V943733 - 1. assign V928013 = V496424 + 1. assign V220651 = V084351 - 1. assign V588031 = V860520. assign V320687 = V398787 + 1. assign V377795 = V532455. assign V994373 = V435519 + 1. assign V112018 = V072174 + 1. assign V388641 = V164317 - 1. assign V188426 = V661838 - 1. assign V708953 = V586430 + 1. assign V784153 = V312273 + 1. assign V684452 = V907231 + 1. assign V853456 = V552431 - 1. assign V604954 = V253002. assign V578722 = V882007 - 1. assign V435519 = V253002 - 1. assign V654590 = V396078. assign V114822 = V849956 - 1. assign V557420 = V164317 + 1. assign V381836 = V043686 + 1. assign V724887 = V398787. assign V827922 = V243216 + 1. assign V318041 = V552431 + 1. assign V835804 = V164317 - 1. assign V586430 = V724881 + 1. assign V957914 = V635062 + 1. assign V092889 = V661838. assign V259318 = V315538. assign V291624 = V593180. assign V883798 = V860431 - 1. assign V188346 = V896059. assign V300684 = V166280 - 1. assign V922826 = V836689 + 1. assign V105161 = V158729 - 1. assign V860431 = V827401 - 1. assign V778056 = V250218 + 1. assign V096876 = V279939 - 1. assign V166280 = V692077. assign V258495 = V705210 + 1. assign V156828 = V635062 - 1. assign V672389 = V300867 - 1. assign V805261 = V530460 - 1. assign V621429 = V675345 - 1. assign V456240 = V020997. assign V269260 = V576969. assign V197057 = V102281. assign V078458 = V755665 + 1. assign V394069 = V808767 + 1. assign V408214 = V827401 + 1. assign V133772 = V374645 + 1. assign V901489 = V694305 - 1. assign V722964 = V112018 + 1. assign V568393 = V510842. assign V112473 = V506293 + 1. assign V863949 = V635370 - 1. assign V964260 = V034214. assign V518772 = V394069. assign V253002 = V748325 + 1. assign V780714 = V010661 + 1. assign V882491 = V249478. assign V440655 = V723694. assign V675345 = V657888 + 1. assign V242421 = V293784. assign V894291 = V594473 - 1. assign V932510 = V780714. assign V010661 = V886630 + 1. assign V919671 = V374066. assign V299489 = V849956 - 1. assign V158372 = V532876 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V798332 = V907231. assign V808767 = V882007 + 1. assign V062029 = V957914. assign V374645 = V496424 - 1. assign V208449 = V022156 - 1. assign V132916 = V693604 - 1. assign V704810 = V943733 + 1. assign V257497 = V197815. assign V700939 = V488585. assign V985774 = V763150. assign V552431 = V253002 + 1. assign V865286 = V398787 - 1. assign V340827 = V563571 + 1. assign V185804 = V604954 - 1. assign V906963 = V421690 + 1. assign V470281 = V675345 + 1. assign V443648 = V661838 - 1. assign V058104 = V635062 - 1. assign V573230 = V635062 - 1. assign V398787 = V883091 - 1. assign V661838 = V440655. assign V758514 = V798332 + 1. assign V824879 = V096876 + 1. assign V427538 = V363907 - 1. assign V887715 = V626838. assign V398564 = V166280 + 1. assign V883091 = V853456 + 1. assign V423048 = V171476 - 1. assign V943733 = V253002 - 1. assign V887127 = V911157 + 1. assign V164027 = V136367 - 1. assign V034214 = V479603 + 1. assign V730360 = V439336. assign V243216 = V573230. assign V998921 = V693604. assign V492902 = V242421. assign V982932 = V996846 + 1. assign V665787 = V780714 + 1. assign V560211 = V435519 + 1. assign V724881 = V657888. assign V884865 = V886484 - 1. assign V267926 = V886484. assign V607910 = V748325 + 1. assign V635062 = V532455 + 1. assign V598118 = V195716. assign V007435 = V308410 - 1. assign V434475 = V568393 + 1. assign V038751 = V132916 - 1. assign V744023 = V013312 + 1. assign V676131 = V880223. assign V160166 = V693604. assign V319639 = V473908. assign V642251 = V341143 - 1. assign V293784 = V780714 + 1. assign V510831 = V242421. assign V643735 = V532455 + 1. assign V553016 = V479603 + 1. assign V403272 = V860520. assign V000823 = V210905 - 1. assign V985290 = V346425 - 1. assign V723694 = V552431 - 1. assign V316123 = V062029 + 1. assign V463296 = V298173 - 1. assign V278772 = V723694 + 1. assign V926743 = V403272 - 1. assign V563571 = V836689. assign V183495 = V661838 - 1. assign V922305 = V073458 - 1. assign V346425 = V532554. assign V302745 = V665787. assign V922015 = V665787 - 1. assign V939880 = V672676 + 1. assign V896239 = V692077 - 1. assign V773209 = V883798. assign V298173 = V886630 - 1. assign V568298 = V062029 + 1. assign V976514 = V724887 + 1. assign V795059 = V488585 + 1. assign V268401 = V440655 - 1. assign V594855 = V695651 - 1. assign V878347 = V166280 - 1. assign V065358 = V552431 + 1. assign V651389 = V360525 + 1. assign V341143 = V473912 + 1. assign V264342 = V164317 - 1. assign V454212 = V557420 + 1. assign V866875 = V473908. assign V656784 = V065358 + 1. assign V849956 = V957914. assign V496424 = V287338. assign V874208 = V957914 + 1. assign V501169 = V363907 + 1. assign V297856 = V327367. assign V860520 = V722964 - 1. assign V312273 = V878347. assign V078425 = V964331 - 1. assign V886630 = V532455 - 1. assign V161942 = V376140. assign V602289 = V578722 + 1. assign V894094 = V796760 - 1. assign V447292 = V421690. assign V951034 = V957914 - 1. assign V886484 = V396078 - 1. assign V242683 = V388641 - 1. assign V532455 = V532554 + 1. assign V364192 = V311019 - 1. assign V693604 = V835804. assign V794672 = V614593 + 1. assign V817381 = V164317. assign V901205 = V877054. assign V903317 = V693604 + 1. assign V275764 = V860431 - 1. assign V896059 = V532455 - 1. assign V312237 = V884865. assign V499591 = V439336 + 1. assign V150574 = V021223 + 1. assign V626838 = V532627 + 1. assign V010083 = V661838. assign V311019 = V957914 + 1. assign V439336 = V886630 + 1. assign V107205 = V886484 - 1. assign V473912 = V573230 - 1. assign V171476 = V473912. assign V466830 = V164317. assign V101268 = V568298 + 1. assign V195716 = V020997. assign V118011 = V887715 - 1. assign V763184 = V495270 - 1. assign V179207 = V780714 - 1. assign V488585 = V287338. assign V338688 = V939880. assign V576969 = V102281. assign V367914 = V398564 - 1. assign V296945 = V320687 - 1. assign V043686 = V501169 - 1. assign V187317 = V527903 + 1. assign V192262 = V763150 - 1. assign V510842 = V661838. assign V355835 = V316123. assign V882007 = V264342 - 1. assign V369950 = V166280. assign V594911 = V784153 - 1. assign V479603 = V907231 - 1. assign V137379 = V473908 + 1. assign V581663 = V722964. assign V527903 = V078425 - 1. assign V363907 = V692077 + 1. assign V857247 = V982932 + 1. assign V551659 = V058104. assign V040692 = V013401. assign V315538 = V676131 + 1. assign V020997 = V720214 - 1. assign V654359 = V886484 - 1. assign V102281 = V744023 - 1. assign V532876 = V013312 + 1. assign V005696 = V808767. assign V614593 = V882007 + 1. assign V594568 = V780714. assign V907231 = V552431. assign V297980 = V096876. assign V836689 = V586430 + 1. assign V657888 = V388641. assign V040135 = V780714. assign V707333 = V763184. assign V599448 = V758514. assign V597203 = V951034. assign V876789 = V403272 + 1. assign V482132 = V264342 + 1. assign V084351 = V676131 + 1. assign V495760 = V363907 + 1. assign V473908 = V880223 + 1. assign V421690 = V880223. assign V911157 = V160166. assign V933659 = V506293. assign V249478 = V242683 - 1. assign V925327 = V707333 - 1. assign V796760 = V939880. assign V838357 = V040692. assign V506293 = V907231 - 1. assign V300867 = V499591 - 1. assign V021223 = V573230 - 1. assign V435098 = V706813 - 1. assign V341435 = V774197 - 1. assign V047528 = V220651. assign V331537 = V253002 + 1. assign V530460 = V532455. assign V705210 = V720214. assign V495270 = V723694 + 1. assign V799434 = V675345 + 1. assign V287338 = V907231 - 1. assign V880223 = V164317 - 1. assign V164317 = V748325. assign V916154 = V396078. assign V276353 = V364192. assign V643284 = V156828. assign V593180 = V880223. assign V657510 = V884865 - 1. assign V073458 = V327367. assign V327169 = V084351. assign V855973 = V774197 - 1. assign V706813 = V657888. assign V811357 = V107205 + 1. assign V877054 = V105161. assign V545199 = V817381 + 1. assign V891700 = V408214. assign V136367 = V021223 + 1. assign V594473 = V164027. assign V013312 = V439336. assign V643307 = V532627. assign V441174 = V723694 + 1. assign V278738 = V863949. assign V796204 = V276353 - 1. assign V877965 = V271922. assign V748325 = V532554 - 1. assign V071782 = V101268 - 1. assign V308410 = V022156 - 1. assign V371437 = V510842 - 1. assign V635370 = V164027 - 1. assign V589223 = V886630. assign V403824 = V506293 + 1. assign V271922 = V748325. assign V833045 = V160166 - 1. assign V451322 = V943733. assign V791722 = V242683 + 1. assign V892369 = V243216 + 1. assign V953733 = V078425. assign V388095 = V195716 + 1. assign V611230 = V439336 - 1. assign V595582 = V363907 - 1. assign V703001 = V692077. assign V230053 = V020997 - 1. assign V996846 = V880223. assign V412327 = V886484 - 1. assign V376140 = V724881. assign V124843 = V626838 + 1. assign V013401 = V932510. assign V670944 = V195716. assign V841318 = V388641 + 1. assign V720214 = V886630 + 1. assign V072174 = 3. assign V360525 = V833045. assign V635883 = V907231 - 1. assign V692077 = V886630 - 1. assign V532627 = V363907 + 1. assign V774197 = V763150 + 1. assign V694305 = V657888 + 1. assign V279939 = V506293. assign V626825 = V104066. assign V374066 = V010661 + 1. assign V351734 = V327367 + 1. assign V006414 = V607910 - 1. assign V124738 = V440655 - 1. assign V250218 = V479603. assign V763150 = V020997. assign V158729 = V164317 + 1. assign V709957 = V827401 - 1. assign V280732 = V338688 + 1. assign V396078 = V435519. assign V022156 = V164317 - 1. assign V827401 = V439336 - 1. assign V446723 = V755665. assign V512542 = V435519. assign V491006 = V441174 + 1. assign V755665 = V506293. assign V118749 = V976514. assign V130161 = V581663 - 1. assign V695651 = V013312. assign V254083 = V695651. assign V327367 = V293784 - 1. assign V221840 = V435098 + 1. assign V197815 = V499591 + 1. assign V672676 = V943733 + 1. assign V571328 = V794672. assign V035965 = V684452 - 1. assign V964331 = V511569. assign V171614 = V253002 - 1. assign V459777 = V985290. assign V104066 = V943733 - 1. assign V688203 = V887715. assign V511569 = V817381 - 1. assign V609370 = V957914 + 1. assign V210905 = V943733 - 1. assign V928013 = V496424 + 1. assign V220651 = V084351 - 1. assign V588031 = V860520. assign V320687 = V398787 + 1. assign V377795 = V532455. assign V994373 = V435519 + 1. assign V112018 = V072174 + 1. assign V388641 = V164317 - 1. assign V188426 = V661838 - 1. assign V708953 = V586430 + 1. assign V784153 = V312273 + 1. assign V684452 = V907231 + 1. assign V853456 = V552431 - 1. assign V604954 = V253002. assign V578722 = V882007 - 1. assign V435519 = V253002 - 1. assign V654590 = V396078. assign V114822 = V849956 - 1. assign V557420 = V164317 + 1. assign V381836 = V043686 + 1. assign V724887 = V398787. assign V827922 = V243216 + 1. assign V318041 = V552431 + 1. assign V835804 = V164317 - 1. assign V586430 = V724881 + 1. assign V957914 = V635062 + 1. assign V092889 = V661838. assign V259318 = V315538. assign V291624 = V593180. assign V883798 = V860431 - 1. assign V188346 = V896059. assign V300684 = V166280 - 1. assign V922826 = V836689 + 1. assign V105161 = V158729 - 1. assign V860431 = V827401 - 1. assign V778056 = V250218 + 1. assign V096876 = V279939 - 1. assign V166280 = V692077. assign V258495 = V705210 + 1. assign V156828 = V635062 - 1. assign V672389 = V300867 - 1. assign V805261 = V530460 - 1. assign V621429 = V675345 - 1. assign V456240 = V020997. assign V269260 = V576969. assign V197057 = V102281. assign V078458 = V755665 + 1. assign V394069 = V808767 + 1. assign V408214 = V827401 + 1. assign V133772 = V374645 + 1. assign V901489 = V694305 - 1. assign V722964 = V112018 + 1. assign V568393 = V510842. assign V112473 = V506293 + 1. assign V863949 = V635370 - 1. assign V964260 = V034214. assign V518772 = V394069. assign V253002 = V748325 + 1. assign V780714 = V010661 + 1. assign V882491 = V249478. assign V440655 = V723694. assign V675345 = V657888 + 1. assign V242421 = V293784. assign V894291 = V594473 - 1. assign V932510 = V780714. assign V010661 = V886630 + 1. assign V919671 = V374066. assign V299489 = V849956 - 1. assign V158372 = V532876 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV072174 = 3;\n\nFrom these direct assignment(s), we have: \nV112018 = V072174 + 1 = 3 + 1 =4;\nV722964 = V112018 + 1 = 4 + 1 =5;\nV581663 = V722964 = 5;\nV130161 = V581663 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V130161;\nNo other varaibles can be derived from V581663;\nV860520 = V722964 - 1 = 5 - 1 =4;\nV588031 = V860520 = 4;\nNo other varaibles can be derived from V588031;\nV403272 = V860520 = 4;\nV876789 = V403272 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V876789;\nV926743 = V403272 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V926743;\nNo other varaibles can be derived from V403272;\nNo other varaibles can be derived from V860520;\nNo other varaibles can be derived from V722964;\nNo other varaibles can be derived from V112018;\nNo other varaibles can be derived from V072174;\n\nNow we have done all the calculations. Derived variables are:\nV072174 = 3;\nV112018 = 4;\nV722964 = 5;\nV581663 = 5;\nV130161 = 4;\nV860520 = 4;\nV588031 = 4;\nV403272 = 4;\nV876789 = 5;\nV926743 = 3;\n\nNow we have finished this problem. ANSWER:\nV722964, V581663, V876789\n", "role": "assistant" } ]

[ "V718729", "V650730", "V466459" ]

[ { "content": "<context>\nassign V945037 = V854373. assign V314944 = V760091 + 1. assign V581964 = V101429 + 1. assign V464130 = V843473. assign V337679 = V101429 + 1. assign V062769 = V925157 - 1. assign V969193 = V583534 - 1. assign V386784 = V722755. assign V192379 = V004874 - 1. assign V693266 = V985206. assign V733352 = V082798 - 1. assign V057556 = V194145 + 1. assign V776792 = V036194 - 1. assign V375893 = V856612 + 1. assign V163375 = V040550 - 1. assign V062028 = V228366. assign V375514 = V523504 - 1. assign V624452 = V969152 - 1. assign V106555 = V601300 - 1. assign V450048 = V267360. assign V627037 = V619291 + 1. assign V838176 = V179773 + 1. assign V207986 = V276279 - 1. assign V787153 = V601300 - 1. assign V178762 = V205226 + 1. assign V633683 = V793685. assign V691601 = V488675 - 1. assign V965317 = V082798 - 1. assign V495150 = V082798 - 1. assign V248543 = V150610. assign V860375 = V196823 + 1. assign V821082 = V232189. assign V323251 = V043929 + 1. assign V708033 = V225675 - 1. assign V601300 = V005636 - 1. assign V127841 = V945037 - 1. assign V267360 = V432735 + 1. assign V020306 = V585670 - 1. assign V228366 = V503313. assign V162621 = V504389. assign V232189 = V704206 - 1. assign V216745 = V218190 + 1. assign V212498 = V742943. assign V323596 = V627037. assign V070241 = V378601 - 1. assign V727077 = V432735 + 1. assign V298125 = V503313 - 1. assign V884050 = V583534 - 1. assign V466877 = V209966 - 1. assign V022946 = V070241 + 1. assign V044450 = V043929. assign V689977 = V196823 + 1. assign V768351 = V555475. assign V854373 = V271076. assign V777899 = V884341 + 1. assign V521945 = V295653 + 1. assign V650730 = V300522 - 1. assign V451658 = V704206. assign V749497 = V451500 - 1. assign V834826 = V619291 + 1. assign V263796 = V521945 + 1. assign V043929 = V036194 + 1. assign V717887 = V517220. assign V549114 = V356876 + 1. assign V384204 = V905505 - 1. assign V287769 = V020306. assign V913358 = V502755 + 1. assign V225675 = V627037 + 1. assign V020343 = V760091 + 1. assign V555001 = V633683. assign V308252 = V644741 + 1. assign V377887 = V757516 - 1. assign V516727 = V209966. assign V114975 = V874568 - 1. assign V432735 = V583534 + 1. assign V641477 = V708033. assign V461559 = V555475 - 1. assign V754664 = V870680 + 1. assign V843473 = V870680 + 1. assign V916652 = V776792 + 1. assign V185610 = V627037 - 1. assign V746418 = V100518. assign V757516 = V036194 + 1. assign V637164 = V889953. assign V136070 = V750396 - 1. assign V888635 = V957808 + 1. assign V667309 = V503313 - 1. assign V941894 = V790387. assign V468672 = V727077 + 1. assign V068048 = V838176 - 1. assign V718729 = V300522 - 1. assign V989610 = V249970 + 1. assign V470319 = V704206. assign V223029 = V450048 - 1. assign V494385 = V526891 - 1. assign V913896 = V468218 - 1. assign V912089 = V843473 - 1. assign V276279 = V271076. assign V058951 = V263796 - 1. assign V667228 = V569681 + 1. assign V904226 = V870680 - 1. assign V080868 = V043431 - 1. assign V931369 = V838176. assign V929623 = V627037 + 1. assign V082798 = V662495 + 1. assign V795007 = V461559 + 1. assign V801059 = V384204 + 1. assign V768057 = V985637 + 1. assign V472807 = V262699 + 1. assign V619291 = V583534 - 1. assign V194145 = V790387 - 1. assign V889953 = V925157 - 1. assign V325308 = V432735 - 1. assign V709144 = V407047 + 1. assign V412094 = V416325 - 1. assign V276958 = V062769. assign V503591 = V979244. assign V744317 = V295653 + 1. assign V468218 = V196823 - 1. assign V300522 = V825674 - 1. assign V949158 = V386784. assign V997009 = V904226 + 1. assign V524687 = V123074 - 1. assign V985637 = V172386 + 1. assign V966941 = V324309 - 1. assign V154469 = V587214 + 1. assign V606735 = V185610 + 1. assign V569600 = V633683. assign V373252 = V604458 - 1. assign V793092 = V114975 + 1. assign V004874 = V601300 + 1. assign V503313 = V768351. assign V917943 = V859086 - 1. assign V259186 = V196823 - 1. assign V982976 = V619291 + 1. assign V452864 = V276958 + 1. assign V386636 = V222142. assign V960766 = V004874. assign V634900 = V581964 + 1. assign V734752 = V271076 + 1. assign V025370 = V905505. assign V466459 = V650730. assign V892116 = V709144. assign V436546 = V744317 - 1. assign V767315 = V744317 - 1. assign V707952 = V036194 + 1. assign V666488 = V742943. assign V995679 = V017791 - 1. assign V271076 = V504115 + 1. assign V043431 = V209966. assign V040550 = V750396. assign V924592 = V884341 + 1. assign V416325 = V043431. assign V095108 = V513304 - 1. assign V429716 = V444098 + 1. assign V254888 = V336713 + 1. assign V752587 = V555475 - 1. assign V526891 = V854373 + 1. assign V587214 = V884341. assign V857280 = V717887 - 1. assign V967124 = V641477 + 1. assign V396143 = V225675 + 1. assign V817106 = V581964. assign V914761 = V744317. assign V644741 = V124431 - 1. assign V977338 = V185610 + 1. assign V907178 = V456164 + 1. assign V232806 = V908204 - 1. assign V041368 = V323596 + 1. assign V694342 = V412094 + 1. assign V444098 = V874568. assign V356882 = V386636 - 1. assign V754303 = V945037 - 1. assign V094853 = V851979 - 1. assign V332625 = V671666 - 1. assign V875120 = V179773. assign V722755 = V416325 - 1. assign V036194 = V185610 + 1. assign V886484 = V838176 + 1. assign V902888 = V627037 - 1. assign V357534 = V904226 - 1. assign V099100 = V937717. assign V667596 = V585670. assign V071919 = V668908. assign V304287 = V017791 + 1. assign V514642 = V300522. assign V748241 = V209966. assign V485673 = V967124 - 1. assign V382814 = V776792 + 1. assign V555912 = V748241 - 1. assign V857057 = V874568. assign V488312 = V708033 - 1. assign V363909 = V727077 - 1. assign V778055 = V031844 + 1. assign V005636 = V196823. assign V504115 = V793685. assign V485554 = V876061. assign V194985 = V503313 + 1. assign V640292 = V870680 - 1. assign V234932 = V146101. assign V790387 = V225675. assign V856612 = V619291. assign V916745 = V667596 + 1. assign V540341 = V113097 - 1. assign V124851 = V162621. assign V052568 = V205226 - 1. assign V517220 = V689977 - 1. assign V662495 = V412094 - 1. assign V032454 = V829804 + 1. assign V583699 = V985637. assign V356876 = V259186. assign V113096 = V080868 - 1. assign V750396 = V228366 - 1. assign V957808 = V375514 + 1. assign V383813 = V651661 + 1. assign V502755 = V521945. assign V937717 = V619291 + 1. assign V829804 = V914761 - 1. assign V825674 = 6. assign V831889 = V414780 + 1. assign V928744 = V375893 - 1. assign V218190 = V416325. assign V585670 = V601300 + 1. assign V514043 = V317133. assign V801009 = V435159 + 1. assign V883102 = V386784 - 1. assign V337884 = V232806 - 1. assign V137956 = V488675 - 1. assign V195529 = V276958 - 1. assign V979244 = V185610 + 1. assign V331919 = V860815 + 1. assign V179773 = V196823 + 1. assign V884911 = V464130. assign V856355 = V336713. assign V242323 = V829804 - 1. assign V265602 = V744317 + 1. assign V874568 = V627037. assign V464737 = V734752 - 1. assign V908204 = V874568. assign V903563 = V555475 - 1. assign V579334 = V124851 + 1. assign V031844 = V101429 + 1. assign V101429 = V793685 + 1. assign V032769 = V444098 + 1. assign V196823 = V185610. assign V442252 = V886484 + 1. assign V794571 = V113096 - 1. assign V548393 = V228366 - 1. assign V378601 = V601300. assign V604458 = V539945 - 1. assign V188562 = V416325. assign V929170 = V707952. assign V295653 = V874568 + 1. assign V668908 = V843473. assign V435159 = V708033. assign V038046 = V619291 + 1. assign V513304 = V875120. assign V969152 = V377887 - 1. assign V456164 = V466459 + 1. assign V100518 = V604458. assign V583534 = V555475 - 1. assign V340715 = V839326 - 1. assign V801533 = V124431 + 1. assign V884341 = V317133. assign V860499 = V276958. assign V113097 = V539945 + 1. assign V100548 = V742943 - 1. assign V249970 = V113097 + 1. assign V876061 = V063079 - 1. assign V859086 = V667309. assign V925157 = V321456 + 1. assign V262699 = V030214 - 1. assign V146101 = V188562. assign V332201 = V205226. assign V504389 = V468218 - 1. assign V337301 = V259186. assign V780753 = V337679. assign V123074 = V619291 + 1. assign V042111 = V969193 - 1. assign V671666 = V412094 + 1. assign V956581 = V020343 + 1. assign V317133 = V671666 + 1. assign V324309 = V856612 + 1. assign V408181 = V727077 - 1. assign V150610 = V185610. assign V321456 = V005636. assign V391300 = V179773 + 1. assign V704206 = V752587. assign V760091 = V005636 - 1. assign V830420 = V875120 - 1. assign V569681 = V429716 + 1. assign V905505 = V185610 - 1. assign V760267 = V668908. assign V826703 = V937717 + 1. assign V273613 = V516727 + 1. assign V742943 = V005636. assign V209966 = V185610 + 1. assign V886033 = V044450 - 1. assign V870680 = V752587 + 1. assign V651661 = V063079. assign V539945 = V068048. assign V488675 = V259186 - 1. assign V326026 = V856355. assign V860815 = V435159. assign V523504 = V884911 + 1. assign V589140 = V650730 + 1. assign V911994 = V539945 + 1. assign V196375 = V094853. assign V604389 = V089949. assign V651008 = V136070 + 1. assign V325972 = V513304 - 1. assign V407047 = V336713 + 1. assign V131717 = V517220. assign V426804 = V517220 + 1. assign V030214 = V521945 + 1. assign V124431 = V095108 - 1. assign V089949 = V634900. assign V205226 = V583534. assign V336713 = V209966 - 1. assign V140879 = V031844 + 1. assign V168811 = V271076 + 1. assign V156903 = V555912. assign V414780 = V444098 + 1. assign V205345 = V889953 - 1. assign V851979 = V209966 + 1. assign V792091 = V228366 + 1. assign V051627 = V760091 + 1. assign V839326 = V488675. assign V451500 = V194985. assign V985206 = V843473 + 1. assign V710459 = V524687. assign V579518 = V212498 + 1. assign V871289 = V336713. assign V222142 = V908204 + 1. assign V787953 = V068048 + 1. assign V063079 = V627037 - 1. assign V902683 = V589140 + 1. assign V178739 = V317133 + 1. assign V252807 = V555475 + 1. assign V703513 = V321456. assign V220105 = V754664 + 1. assign V017791 = V451500 + 1. assign V689930 = V188562. assign V002617 = V488675 + 1. assign V172386 = V209966. assign V892656 = V793685 + 1. assign V793685 = V185610. assign V568945 = V957808 - 1. assign V635010 = V503313 + 1. assign V771191 = V432735 + 1. assign V425935 = V451658 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V945037 = V854373. assign V314944 = V760091 + 1. assign V581964 = V101429 + 1. assign V464130 = V843473. assign V337679 = V101429 + 1. assign V062769 = V925157 - 1. assign V969193 = V583534 - 1. assign V386784 = V722755. assign V192379 = V004874 - 1. assign V693266 = V985206. assign V733352 = V082798 - 1. assign V057556 = V194145 + 1. assign V776792 = V036194 - 1. assign V375893 = V856612 + 1. assign V163375 = V040550 - 1. assign V062028 = V228366. assign V375514 = V523504 - 1. assign V624452 = V969152 - 1. assign V106555 = V601300 - 1. assign V450048 = V267360. assign V627037 = V619291 + 1. assign V838176 = V179773 + 1. assign V207986 = V276279 - 1. assign V787153 = V601300 - 1. assign V178762 = V205226 + 1. assign V633683 = V793685. assign V691601 = V488675 - 1. assign V965317 = V082798 - 1. assign V495150 = V082798 - 1. assign V248543 = V150610. assign V860375 = V196823 + 1. assign V821082 = V232189. assign V323251 = V043929 + 1. assign V708033 = V225675 - 1. assign V601300 = V005636 - 1. assign V127841 = V945037 - 1. assign V267360 = V432735 + 1. assign V020306 = V585670 - 1. assign V228366 = V503313. assign V162621 = V504389. assign V232189 = V704206 - 1. assign V216745 = V218190 + 1. assign V212498 = V742943. assign V323596 = V627037. assign V070241 = V378601 - 1. assign V727077 = V432735 + 1. assign V298125 = V503313 - 1. assign V884050 = V583534 - 1. assign V466877 = V209966 - 1. assign V022946 = V070241 + 1. assign V044450 = V043929. assign V689977 = V196823 + 1. assign V768351 = V555475. assign V854373 = V271076. assign V777899 = V884341 + 1. assign V521945 = V295653 + 1. assign V650730 = V300522 - 1. assign V451658 = V704206. assign V749497 = V451500 - 1. assign V834826 = V619291 + 1. assign V263796 = V521945 + 1. assign V043929 = V036194 + 1. assign V717887 = V517220. assign V549114 = V356876 + 1. assign V384204 = V905505 - 1. assign V287769 = V020306. assign V913358 = V502755 + 1. assign V225675 = V627037 + 1. assign V020343 = V760091 + 1. assign V555001 = V633683. assign V308252 = V644741 + 1. assign V377887 = V757516 - 1. assign V516727 = V209966. assign V114975 = V874568 - 1. assign V432735 = V583534 + 1. assign V641477 = V708033. assign V461559 = V555475 - 1. assign V754664 = V870680 + 1. assign V843473 = V870680 + 1. assign V916652 = V776792 + 1. assign V185610 = V627037 - 1. assign V746418 = V100518. assign V757516 = V036194 + 1. assign V637164 = V889953. assign V136070 = V750396 - 1. assign V888635 = V957808 + 1. assign V667309 = V503313 - 1. assign V941894 = V790387. assign V468672 = V727077 + 1. assign V068048 = V838176 - 1. assign V718729 = V300522 - 1. assign V989610 = V249970 + 1. assign V470319 = V704206. assign V223029 = V450048 - 1. assign V494385 = V526891 - 1. assign V913896 = V468218 - 1. assign V912089 = V843473 - 1. assign V276279 = V271076. assign V058951 = V263796 - 1. assign V667228 = V569681 + 1. assign V904226 = V870680 - 1. assign V080868 = V043431 - 1. assign V931369 = V838176. assign V929623 = V627037 + 1. assign V082798 = V662495 + 1. assign V795007 = V461559 + 1. assign V801059 = V384204 + 1. assign V768057 = V985637 + 1. assign V472807 = V262699 + 1. assign V619291 = V583534 - 1. assign V194145 = V790387 - 1. assign V889953 = V925157 - 1. assign V325308 = V432735 - 1. assign V709144 = V407047 + 1. assign V412094 = V416325 - 1. assign V276958 = V062769. assign V503591 = V979244. assign V744317 = V295653 + 1. assign V468218 = V196823 - 1. assign V300522 = V825674 - 1. assign V949158 = V386784. assign V997009 = V904226 + 1. assign V524687 = V123074 - 1. assign V985637 = V172386 + 1. assign V966941 = V324309 - 1. assign V154469 = V587214 + 1. assign V606735 = V185610 + 1. assign V569600 = V633683. assign V373252 = V604458 - 1. assign V793092 = V114975 + 1. assign V004874 = V601300 + 1. assign V503313 = V768351. assign V917943 = V859086 - 1. assign V259186 = V196823 - 1. assign V982976 = V619291 + 1. assign V452864 = V276958 + 1. assign V386636 = V222142. assign V960766 = V004874. assign V634900 = V581964 + 1. assign V734752 = V271076 + 1. assign V025370 = V905505. assign V466459 = V650730. assign V892116 = V709144. assign V436546 = V744317 - 1. assign V767315 = V744317 - 1. assign V707952 = V036194 + 1. assign V666488 = V742943. assign V995679 = V017791 - 1. assign V271076 = V504115 + 1. assign V043431 = V209966. assign V040550 = V750396. assign V924592 = V884341 + 1. assign V416325 = V043431. assign V095108 = V513304 - 1. assign V429716 = V444098 + 1. assign V254888 = V336713 + 1. assign V752587 = V555475 - 1. assign V526891 = V854373 + 1. assign V587214 = V884341. assign V857280 = V717887 - 1. assign V967124 = V641477 + 1. assign V396143 = V225675 + 1. assign V817106 = V581964. assign V914761 = V744317. assign V644741 = V124431 - 1. assign V977338 = V185610 + 1. assign V907178 = V456164 + 1. assign V232806 = V908204 - 1. assign V041368 = V323596 + 1. assign V694342 = V412094 + 1. assign V444098 = V874568. assign V356882 = V386636 - 1. assign V754303 = V945037 - 1. assign V094853 = V851979 - 1. assign V332625 = V671666 - 1. assign V875120 = V179773. assign V722755 = V416325 - 1. assign V036194 = V185610 + 1. assign V886484 = V838176 + 1. assign V902888 = V627037 - 1. assign V357534 = V904226 - 1. assign V099100 = V937717. assign V667596 = V585670. assign V071919 = V668908. assign V304287 = V017791 + 1. assign V514642 = V300522. assign V748241 = V209966. assign V485673 = V967124 - 1. assign V382814 = V776792 + 1. assign V555912 = V748241 - 1. assign V857057 = V874568. assign V488312 = V708033 - 1. assign V363909 = V727077 - 1. assign V778055 = V031844 + 1. assign V005636 = V196823. assign V504115 = V793685. assign V485554 = V876061. assign V194985 = V503313 + 1. assign V640292 = V870680 - 1. assign V234932 = V146101. assign V790387 = V225675. assign V856612 = V619291. assign V916745 = V667596 + 1. assign V540341 = V113097 - 1. assign V124851 = V162621. assign V052568 = V205226 - 1. assign V517220 = V689977 - 1. assign V662495 = V412094 - 1. assign V032454 = V829804 + 1. assign V583699 = V985637. assign V356876 = V259186. assign V113096 = V080868 - 1. assign V750396 = V228366 - 1. assign V957808 = V375514 + 1. assign V383813 = V651661 + 1. assign V502755 = V521945. assign V937717 = V619291 + 1. assign V829804 = V914761 - 1. assign V825674 = 6. assign V831889 = V414780 + 1. assign V928744 = V375893 - 1. assign V218190 = V416325. assign V585670 = V601300 + 1. assign V514043 = V317133. assign V801009 = V435159 + 1. assign V883102 = V386784 - 1. assign V337884 = V232806 - 1. assign V137956 = V488675 - 1. assign V195529 = V276958 - 1. assign V979244 = V185610 + 1. assign V331919 = V860815 + 1. assign V179773 = V196823 + 1. assign V884911 = V464130. assign V856355 = V336713. assign V242323 = V829804 - 1. assign V265602 = V744317 + 1. assign V874568 = V627037. assign V464737 = V734752 - 1. assign V908204 = V874568. assign V903563 = V555475 - 1. assign V579334 = V124851 + 1. assign V031844 = V101429 + 1. assign V101429 = V793685 + 1. assign V032769 = V444098 + 1. assign V196823 = V185610. assign V442252 = V886484 + 1. assign V794571 = V113096 - 1. assign V548393 = V228366 - 1. assign V378601 = V601300. assign V604458 = V539945 - 1. assign V188562 = V416325. assign V929170 = V707952. assign V295653 = V874568 + 1. assign V668908 = V843473. assign V435159 = V708033. assign V038046 = V619291 + 1. assign V513304 = V875120. assign V969152 = V377887 - 1. assign V456164 = V466459 + 1. assign V100518 = V604458. assign V583534 = V555475 - 1. assign V340715 = V839326 - 1. assign V801533 = V124431 + 1. assign V884341 = V317133. assign V860499 = V276958. assign V113097 = V539945 + 1. assign V100548 = V742943 - 1. assign V249970 = V113097 + 1. assign V876061 = V063079 - 1. assign V859086 = V667309. assign V925157 = V321456 + 1. assign V262699 = V030214 - 1. assign V146101 = V188562. assign V332201 = V205226. assign V504389 = V468218 - 1. assign V337301 = V259186. assign V780753 = V337679. assign V123074 = V619291 + 1. assign V042111 = V969193 - 1. assign V671666 = V412094 + 1. assign V956581 = V020343 + 1. assign V317133 = V671666 + 1. assign V324309 = V856612 + 1. assign V408181 = V727077 - 1. assign V150610 = V185610. assign V321456 = V005636. assign V391300 = V179773 + 1. assign V704206 = V752587. assign V760091 = V005636 - 1. assign V830420 = V875120 - 1. assign V569681 = V429716 + 1. assign V905505 = V185610 - 1. assign V760267 = V668908. assign V826703 = V937717 + 1. assign V273613 = V516727 + 1. assign V742943 = V005636. assign V209966 = V185610 + 1. assign V886033 = V044450 - 1. assign V870680 = V752587 + 1. assign V651661 = V063079. assign V539945 = V068048. assign V488675 = V259186 - 1. assign V326026 = V856355. assign V860815 = V435159. assign V523504 = V884911 + 1. assign V589140 = V650730 + 1. assign V911994 = V539945 + 1. assign V196375 = V094853. assign V604389 = V089949. assign V651008 = V136070 + 1. assign V325972 = V513304 - 1. assign V407047 = V336713 + 1. assign V131717 = V517220. assign V426804 = V517220 + 1. assign V030214 = V521945 + 1. assign V124431 = V095108 - 1. assign V089949 = V634900. assign V205226 = V583534. assign V336713 = V209966 - 1. assign V140879 = V031844 + 1. assign V168811 = V271076 + 1. assign V156903 = V555912. assign V414780 = V444098 + 1. assign V205345 = V889953 - 1. assign V851979 = V209966 + 1. assign V792091 = V228366 + 1. assign V051627 = V760091 + 1. assign V839326 = V488675. assign V451500 = V194985. assign V985206 = V843473 + 1. assign V710459 = V524687. assign V579518 = V212498 + 1. assign V871289 = V336713. assign V222142 = V908204 + 1. assign V787953 = V068048 + 1. assign V063079 = V627037 - 1. assign V902683 = V589140 + 1. assign V178739 = V317133 + 1. assign V252807 = V555475 + 1. assign V703513 = V321456. assign V220105 = V754664 + 1. assign V017791 = V451500 + 1. assign V689930 = V188562. assign V002617 = V488675 + 1. assign V172386 = V209966. assign V892656 = V793685 + 1. assign V793685 = V185610. assign V568945 = V957808 - 1. assign V635010 = V503313 + 1. assign V771191 = V432735 + 1. assign V425935 = V451658 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV825674 = 6;\n\nFrom these direct assignment(s), we have: \nV300522 = V825674 - 1 = 6 - 1 =5;\nV514642 = V300522 = 5;\nNo other varaibles can be derived from V514642;\nV718729 = V300522 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V718729;\nV650730 = V300522 - 1 = 5 - 1 =4;\nV589140 = V650730 + 1 = 4 + 1 =5;\nV902683 = V589140 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V902683;\nNo other varaibles can be derived from V589140;\nV466459 = V650730 = 4;\nV456164 = V466459 + 1 = 4 + 1 =5;\nV907178 = V456164 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V907178;\nNo other varaibles can be derived from V456164;\nNo other varaibles can be derived from V466459;\nNo other varaibles can be derived from V650730;\nNo other varaibles can be derived from V300522;\nNo other varaibles can be derived from V825674;\n\nNow we have done all the calculations. Derived variables are:\nV825674 = 6;\nV300522 = 5;\nV514642 = 5;\nV718729 = 4;\nV650730 = 4;\nV589140 = 5;\nV902683 = 6;\nV466459 = 4;\nV456164 = 5;\nV907178 = 6;\n\nNow we have finished this problem. ANSWER:\nV718729, V650730, V466459\n", "role": "assistant" } ]

[ "V296394", "V962231", "V897461", "V026973", "V351314" ]

[ { "content": "<context>\nassign V871137 = V214307 - 1. assign V736705 = V800705 - 1. assign V475614 = V057364. assign V224032 = V051561 + 1. assign V869558 = V921727 + 1. assign V133744 = V406813 + 1. assign V295616 = V293893 - 1. assign V867270 = V237021 - 1. assign V414639 = V553358 + 1. assign V440025 = V744023 + 1. assign V940451 = V414426. assign V425843 = V422994 - 1. assign V896287 = V871137. assign V500881 = V160230. assign V044174 = V865660 + 1. assign V528948 = V921727 - 1. assign V695084 = V371030 - 1. assign V278039 = V633947 + 1. assign V951803 = V114515 + 1. assign V744023 = V974693 + 1. assign V589294 = 5. assign V547445 = V402413 - 1. assign V603704 = V611218. assign V832756 = V159042 - 1. assign V504583 = V470844 - 1. assign V534332 = V424134 + 1. assign V391508 = V846368. assign V057364 = V939829. assign V570966 = V215346 + 1. assign V214307 = V472881 + 1. assign V345666 = V498301 + 1. assign V230543 = V517138 + 1. assign V838247 = V994388 + 1. assign V128006 = V812646 - 1. assign V970766 = V251156 - 1. assign V414426 = V874917 + 1. assign V571307 = V799102 + 1. assign V006691 = V191357. assign V388826 = V874917 + 1. assign V623530 = V364777. assign V968135 = V805647 + 1. assign V165864 = V623108 - 1. assign V347911 = V646493 + 1. assign V549609 = V921727. assign V842703 = V800152. assign V878437 = V241897 - 1. assign V966289 = V422994 - 1. assign V261961 = V242366 - 1. assign V865660 = V549609 - 1. assign V517138 = V796195 - 1. assign V108850 = V237021 - 1. assign V792767 = V623108. assign V452145 = V725385 + 1. assign V864719 = V708088. assign V242366 = V621412 + 1. assign V063057 = V756973. assign V799102 = V689263. assign V725385 = V364777. assign V159042 = V630949 - 1. assign V617532 = V633947 + 1. assign V700300 = V271202 - 1. assign V839230 = V831812. assign V470844 = V952784 - 1. assign V175458 = V275836 + 1. assign V135638 = V222090 - 1. assign V757734 = V680210. assign V170350 = V919819. assign V371698 = V952106 + 1. assign V591199 = V854166 + 1. assign V218444 = V478692 + 1. assign V428584 = V952784 + 1. assign V611218 = V733905 + 1. assign V910212 = V261961 + 1. assign V293893 = V459936. assign V708088 = V553358. assign V388947 = V804210 + 1. assign V337706 = V952784 - 1. assign V055526 = V622562 - 1. assign V565319 = V347911. assign V072145 = V478692 + 1. assign V655361 = V553358. assign V290271 = V272151. assign V274106 = V565319 - 1. assign V871152 = V924893. assign V381241 = V641118 + 1. assign V017713 = V295616 + 1. assign V698604 = V472881 - 1. assign V874917 = V633947. assign V271202 = V383602 - 1. assign V605741 = V846368. assign V197092 = V364777 - 1. assign V314550 = V158590 + 1. assign V960099 = V622562 + 1. assign V516937 = V547530 - 1. assign V630072 = V494478 + 1. assign V221401 = V909301 - 1. assign V424183 = V689263 - 1. assign V022461 = V237021 - 1. assign V621412 = V364777 + 1. assign V237021 = V621412. assign V934017 = V928230. assign V222090 = V133744. assign V372048 = V214307 + 1. assign V584662 = V663598. assign V498567 = V402650 + 1. assign V939829 = V414426 + 1. assign V235208 = V621412 + 1. assign V817392 = V436724 - 1. assign V498301 = V805647. assign V005483 = V862197 - 1. assign V275836 = V406813 - 1. assign V661043 = V057648 - 1. assign V065281 = V689263 + 1. assign V137942 = V278039 + 1. assign V284994 = V192229 + 1. assign V943614 = V971481 + 1. assign V191357 = V424183 + 1. assign V364777 = V796195. assign V488813 = V235208 + 1. assign V715406 = V424183 + 1. assign V928230 = V565319 - 1. assign V553358 = V871137 - 1. assign V778151 = V693481. assign V043793 = V005483. assign V973503 = V564150 - 1. assign V588238 = V113293 - 1. assign V051561 = V476706 - 1. assign V862065 = V623108 - 1. assign V812646 = V353201. assign V804210 = V237021 - 1. assign V553636 = V478692 + 1. assign V158860 = V067860 + 1. assign V921727 = V242366 - 1. assign V564150 = V235546. assign V401893 = V733905 - 1. assign V077906 = V792767. assign V733905 = V347911 - 1. assign V076632 = V077906 - 1. assign V646493 = V796195 - 1. assign V178297 = V805647 + 1. assign V832945 = V353402 + 1. assign V805647 = V725385. assign V241897 = V242366. assign V031796 = V055526 + 1. assign V272151 = V796195 + 1. assign V243247 = V922527 + 1. assign V113293 = V796195. assign V897461 = V962231. assign V494478 = V278039 + 1. assign V543598 = V430223 + 1. assign V301342 = V756973. assign V017690 = V402650 + 1. assign V476706 = V756973. assign V994388 = V242366 - 1. assign V074331 = V128006. assign V547530 = V353201 + 1. assign V665565 = V597151 - 1. assign V693058 = V924893 - 1. assign V119521 = V108850 + 1. assign V951605 = V364777 - 1. assign V412416 = V481353 - 1. assign V777773 = V621412 - 1. assign V680210 = V237021 - 1. assign V673100 = V756973 - 1. assign V577528 = V971481 - 1. assign V280366 = V481353. assign V478256 = V910212 + 1. assign V623269 = V641118. assign V436724 = V971481 + 1. assign V623108 = V733905 - 1. assign V501308 = V401893 - 1. assign V377340 = V547530 + 1. assign V548447 = V862065 - 1. assign V012571 = V694502. assign V950519 = V549609 + 1. assign V756973 = V424183 - 1. assign V076275 = V158590 + 1. assign V523859 = V534332 - 1. assign V251156 = V406813. assign V689263 = V810150 + 1. assign V670310 = V611218 + 1. assign V703870 = V921727 - 1. assign V700794 = V251156 - 1. assign V587722 = V353402 - 1. assign V878278 = V940451. assign V424134 = V719153 - 1. assign V142729 = V861307 + 1. assign V096033 = V553636 - 1. assign V613491 = V150589. assign V236313 = V261961 - 1. assign V849936 = V796195 + 1. assign V027047 = V430223 - 1. assign V278935 = V792767 + 1. assign V757245 = V017690. assign V430223 = V301342. assign V862197 = V241897 - 1. assign V798162 = V272151 + 1. assign V317392 = V549609 - 1. assign V518397 = V241897. assign V759997 = V402650 - 1. assign V741878 = V603704. assign V012116 = V757734 - 1. assign V597151 = V940451 - 1. assign V311661 = V878437 + 1. assign V952784 = V237021 - 1. assign V641118 = V962231 + 1. assign V428359 = V943614. assign V974693 = V414426 - 1. assign V145701 = V806853 - 1. assign V255227 = V478692. assign V719153 = V846368 + 1. assign V353402 = V031796. assign V655456 = V040148 + 1. assign V415942 = V646493. assign V333068 = V816129 - 1. assign V406813 = V517138. assign V788197 = V588238. assign V654780 = V548447. assign V714929 = V867270. assign V818687 = V494478 - 1. assign V172997 = V759845 - 1. assign V296394 = V589294 - 1. assign V215346 = V012571 + 1. assign V861307 = V543598. assign V458137 = V278039 + 1. assign V717606 = V218444. assign V282222 = V296394 + 1. assign V275607 = V633947 - 1. assign V477460 = V854166. assign V263324 = V022461 - 1. assign V693481 = V831812 - 1. assign V800152 = V517138 - 1. assign V160230 = V646493. assign V536223 = V951803. assign V962231 = V589294 - 1. assign V422994 = V571307. assign V402650 = V272151. assign V547449 = V633947. assign V738351 = V994388. assign V472881 = V812646. assign V351314 = V589294 - 1. assign V891618 = V108850 + 1. assign V990353 = V623530 + 1. assign V919819 = V878437 - 1. assign V479152 = V714929 + 1. assign V350719 = V172997 + 1. assign V924893 = V744023 + 1. assign V057648 = V640989 - 1. assign V114515 = V005483 - 1. assign V622562 = V353201 + 1. assign V122119 = V796195. assign V816129 = V564603. assign V402413 = V364777 - 1. assign V831812 = V158590 - 1. assign V481385 = V547449. assign V008972 = V430223. assign V559451 = V842703. assign V383602 = V242366. assign V229692 = V290271 + 1. assign V887923 = V952106 + 1. assign V854166 = V689263 - 1. assign V772697 = V549609 - 1. assign V205513 = V725385 - 1. assign V832103 = V377340 - 1. assign V585207 = V800152 + 1. assign V185504 = V271202. assign V161158 = V799102 - 1. assign V158590 = V452145 - 1. assign V067860 = V271202 + 1. assign V754268 = V072145 - 1. assign V857765 = V777821 + 1. assign V758352 = V800705 + 1. assign V532481 = V940451 + 1. assign V192229 = V744023 - 1. assign V627551 = V347911 + 1. assign V235546 = V271202 + 1. assign V434986 = V571307 + 1. assign V221993 = V940451 + 1. assign V033305 = V301342. assign V210123 = V293893. assign V603351 = V782951 + 1. assign V129250 = V214307 - 1. assign V846368 = V261961 + 1. assign V630949 = V072145. assign V757574 = V251156 + 1. assign V898835 = V553358 + 1. assign V481353 = V736705. assign V509548 = V623108 - 1. assign V430574 = V337706 - 1. assign V909301 = V424183 - 1. assign V459936 = V022461 - 1. assign V370518 = V326784. assign V412745 = V119521 + 1. assign V326784 = V371030 + 1. assign V777821 = V528948 + 1. assign V334926 = V430223. assign V782951 = V205478. assign V640989 = V159042 - 1. assign V701268 = V221401 + 1. assign V999221 = V777821 - 1. assign V205478 = V275607 + 1. assign V400425 = V611218. assign V026973 = V623269 - 1. assign V759845 = V689263 - 1. assign V350253 = V603704 - 1. assign V150589 = V347911. assign V564603 = V230543 + 1. assign V695373 = V564150. assign V800705 = V759845 - 1. assign V694502 = V364777 + 1. assign V612216 = V800152 - 1. assign V810150 = V237021. assign V740380 = V800152. assign V633947 = V796195. assign V478692 = V633947 - 1. assign V887203 = V178297. assign V495496 = V874917 + 1. assign V197966 = V222090. assign V316082 = V172997 - 1. assign V795351 = V517138 + 1. assign V952106 = V689263 - 1. assign V745434 = V096033. assign V783363 = V798162 - 1. assign V120099 = V242366 + 1. assign V986413 = V528948 + 1. assign V303094 = V564150 - 1. assign V565062 = V896287. assign V971481 = V621412. assign V996030 = V295616 + 1. assign V922527 = V783363. assign V148151 = V792767 + 1. assign V160397 = V230543 + 1. assign V318208 = V108850. assign V371030 = V799102 - 1. assign V744671 = V150589. assign V432795 = V172997 + 1. assign V381820 = V812646. assign V353201 = V242366 - 1. assign V190713 = V096033. assign V757386 = V027047 + 1. assign V040148 = V788197 - 1. assign V413837 = V096033 + 1. assign V520373 = V458137 - 1. assign V254748 = V943614. assign V881146 = V839230 + 1. assign V486184 = V928230 + 1. assign V074701 = V221993. assign V806853 = V523859 - 1. assign V945602 = V472881. assign V334761 = V040148. assign V663598 = V241897.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V871137 = V214307 - 1. assign V736705 = V800705 - 1. assign V475614 = V057364. assign V224032 = V051561 + 1. assign V869558 = V921727 + 1. assign V133744 = V406813 + 1. assign V295616 = V293893 - 1. assign V867270 = V237021 - 1. assign V414639 = V553358 + 1. assign V440025 = V744023 + 1. assign V940451 = V414426. assign V425843 = V422994 - 1. assign V896287 = V871137. assign V500881 = V160230. assign V044174 = V865660 + 1. assign V528948 = V921727 - 1. assign V695084 = V371030 - 1. assign V278039 = V633947 + 1. assign V951803 = V114515 + 1. assign V744023 = V974693 + 1. assign V589294 = 5. assign V547445 = V402413 - 1. assign V603704 = V611218. assign V832756 = V159042 - 1. assign V504583 = V470844 - 1. assign V534332 = V424134 + 1. assign V391508 = V846368. assign V057364 = V939829. assign V570966 = V215346 + 1. assign V214307 = V472881 + 1. assign V345666 = V498301 + 1. assign V230543 = V517138 + 1. assign V838247 = V994388 + 1. assign V128006 = V812646 - 1. assign V970766 = V251156 - 1. assign V414426 = V874917 + 1. assign V571307 = V799102 + 1. assign V006691 = V191357. assign V388826 = V874917 + 1. assign V623530 = V364777. assign V968135 = V805647 + 1. assign V165864 = V623108 - 1. assign V347911 = V646493 + 1. assign V549609 = V921727. assign V842703 = V800152. assign V878437 = V241897 - 1. assign V966289 = V422994 - 1. assign V261961 = V242366 - 1. assign V865660 = V549609 - 1. assign V517138 = V796195 - 1. assign V108850 = V237021 - 1. assign V792767 = V623108. assign V452145 = V725385 + 1. assign V864719 = V708088. assign V242366 = V621412 + 1. assign V063057 = V756973. assign V799102 = V689263. assign V725385 = V364777. assign V159042 = V630949 - 1. assign V617532 = V633947 + 1. assign V700300 = V271202 - 1. assign V839230 = V831812. assign V470844 = V952784 - 1. assign V175458 = V275836 + 1. assign V135638 = V222090 - 1. assign V757734 = V680210. assign V170350 = V919819. assign V371698 = V952106 + 1. assign V591199 = V854166 + 1. assign V218444 = V478692 + 1. assign V428584 = V952784 + 1. assign V611218 = V733905 + 1. assign V910212 = V261961 + 1. assign V293893 = V459936. assign V708088 = V553358. assign V388947 = V804210 + 1. assign V337706 = V952784 - 1. assign V055526 = V622562 - 1. assign V565319 = V347911. assign V072145 = V478692 + 1. assign V655361 = V553358. assign V290271 = V272151. assign V274106 = V565319 - 1. assign V871152 = V924893. assign V381241 = V641118 + 1. assign V017713 = V295616 + 1. assign V698604 = V472881 - 1. assign V874917 = V633947. assign V271202 = V383602 - 1. assign V605741 = V846368. assign V197092 = V364777 - 1. assign V314550 = V158590 + 1. assign V960099 = V622562 + 1. assign V516937 = V547530 - 1. assign V630072 = V494478 + 1. assign V221401 = V909301 - 1. assign V424183 = V689263 - 1. assign V022461 = V237021 - 1. assign V621412 = V364777 + 1. assign V237021 = V621412. assign V934017 = V928230. assign V222090 = V133744. assign V372048 = V214307 + 1. assign V584662 = V663598. assign V498567 = V402650 + 1. assign V939829 = V414426 + 1. assign V235208 = V621412 + 1. assign V817392 = V436724 - 1. assign V498301 = V805647. assign V005483 = V862197 - 1. assign V275836 = V406813 - 1. assign V661043 = V057648 - 1. assign V065281 = V689263 + 1. assign V137942 = V278039 + 1. assign V284994 = V192229 + 1. assign V943614 = V971481 + 1. assign V191357 = V424183 + 1. assign V364777 = V796195. assign V488813 = V235208 + 1. assign V715406 = V424183 + 1. assign V928230 = V565319 - 1. assign V553358 = V871137 - 1. assign V778151 = V693481. assign V043793 = V005483. assign V973503 = V564150 - 1. assign V588238 = V113293 - 1. assign V051561 = V476706 - 1. assign V862065 = V623108 - 1. assign V812646 = V353201. assign V804210 = V237021 - 1. assign V553636 = V478692 + 1. assign V158860 = V067860 + 1. assign V921727 = V242366 - 1. assign V564150 = V235546. assign V401893 = V733905 - 1. assign V077906 = V792767. assign V733905 = V347911 - 1. assign V076632 = V077906 - 1. assign V646493 = V796195 - 1. assign V178297 = V805647 + 1. assign V832945 = V353402 + 1. assign V805647 = V725385. assign V241897 = V242366. assign V031796 = V055526 + 1. assign V272151 = V796195 + 1. assign V243247 = V922527 + 1. assign V113293 = V796195. assign V897461 = V962231. assign V494478 = V278039 + 1. assign V543598 = V430223 + 1. assign V301342 = V756973. assign V017690 = V402650 + 1. assign V476706 = V756973. assign V994388 = V242366 - 1. assign V074331 = V128006. assign V547530 = V353201 + 1. assign V665565 = V597151 - 1. assign V693058 = V924893 - 1. assign V119521 = V108850 + 1. assign V951605 = V364777 - 1. assign V412416 = V481353 - 1. assign V777773 = V621412 - 1. assign V680210 = V237021 - 1. assign V673100 = V756973 - 1. assign V577528 = V971481 - 1. assign V280366 = V481353. assign V478256 = V910212 + 1. assign V623269 = V641118. assign V436724 = V971481 + 1. assign V623108 = V733905 - 1. assign V501308 = V401893 - 1. assign V377340 = V547530 + 1. assign V548447 = V862065 - 1. assign V012571 = V694502. assign V950519 = V549609 + 1. assign V756973 = V424183 - 1. assign V076275 = V158590 + 1. assign V523859 = V534332 - 1. assign V251156 = V406813. assign V689263 = V810150 + 1. assign V670310 = V611218 + 1. assign V703870 = V921727 - 1. assign V700794 = V251156 - 1. assign V587722 = V353402 - 1. assign V878278 = V940451. assign V424134 = V719153 - 1. assign V142729 = V861307 + 1. assign V096033 = V553636 - 1. assign V613491 = V150589. assign V236313 = V261961 - 1. assign V849936 = V796195 + 1. assign V027047 = V430223 - 1. assign V278935 = V792767 + 1. assign V757245 = V017690. assign V430223 = V301342. assign V862197 = V241897 - 1. assign V798162 = V272151 + 1. assign V317392 = V549609 - 1. assign V518397 = V241897. assign V759997 = V402650 - 1. assign V741878 = V603704. assign V012116 = V757734 - 1. assign V597151 = V940451 - 1. assign V311661 = V878437 + 1. assign V952784 = V237021 - 1. assign V641118 = V962231 + 1. assign V428359 = V943614. assign V974693 = V414426 - 1. assign V145701 = V806853 - 1. assign V255227 = V478692. assign V719153 = V846368 + 1. assign V353402 = V031796. assign V655456 = V040148 + 1. assign V415942 = V646493. assign V333068 = V816129 - 1. assign V406813 = V517138. assign V788197 = V588238. assign V654780 = V548447. assign V714929 = V867270. assign V818687 = V494478 - 1. assign V172997 = V759845 - 1. assign V296394 = V589294 - 1. assign V215346 = V012571 + 1. assign V861307 = V543598. assign V458137 = V278039 + 1. assign V717606 = V218444. assign V282222 = V296394 + 1. assign V275607 = V633947 - 1. assign V477460 = V854166. assign V263324 = V022461 - 1. assign V693481 = V831812 - 1. assign V800152 = V517138 - 1. assign V160230 = V646493. assign V536223 = V951803. assign V962231 = V589294 - 1. assign V422994 = V571307. assign V402650 = V272151. assign V547449 = V633947. assign V738351 = V994388. assign V472881 = V812646. assign V351314 = V589294 - 1. assign V891618 = V108850 + 1. assign V990353 = V623530 + 1. assign V919819 = V878437 - 1. assign V479152 = V714929 + 1. assign V350719 = V172997 + 1. assign V924893 = V744023 + 1. assign V057648 = V640989 - 1. assign V114515 = V005483 - 1. assign V622562 = V353201 + 1. assign V122119 = V796195. assign V816129 = V564603. assign V402413 = V364777 - 1. assign V831812 = V158590 - 1. assign V481385 = V547449. assign V008972 = V430223. assign V559451 = V842703. assign V383602 = V242366. assign V229692 = V290271 + 1. assign V887923 = V952106 + 1. assign V854166 = V689263 - 1. assign V772697 = V549609 - 1. assign V205513 = V725385 - 1. assign V832103 = V377340 - 1. assign V585207 = V800152 + 1. assign V185504 = V271202. assign V161158 = V799102 - 1. assign V158590 = V452145 - 1. assign V067860 = V271202 + 1. assign V754268 = V072145 - 1. assign V857765 = V777821 + 1. assign V758352 = V800705 + 1. assign V532481 = V940451 + 1. assign V192229 = V744023 - 1. assign V627551 = V347911 + 1. assign V235546 = V271202 + 1. assign V434986 = V571307 + 1. assign V221993 = V940451 + 1. assign V033305 = V301342. assign V210123 = V293893. assign V603351 = V782951 + 1. assign V129250 = V214307 - 1. assign V846368 = V261961 + 1. assign V630949 = V072145. assign V757574 = V251156 + 1. assign V898835 = V553358 + 1. assign V481353 = V736705. assign V509548 = V623108 - 1. assign V430574 = V337706 - 1. assign V909301 = V424183 - 1. assign V459936 = V022461 - 1. assign V370518 = V326784. assign V412745 = V119521 + 1. assign V326784 = V371030 + 1. assign V777821 = V528948 + 1. assign V334926 = V430223. assign V782951 = V205478. assign V640989 = V159042 - 1. assign V701268 = V221401 + 1. assign V999221 = V777821 - 1. assign V205478 = V275607 + 1. assign V400425 = V611218. assign V026973 = V623269 - 1. assign V759845 = V689263 - 1. assign V350253 = V603704 - 1. assign V150589 = V347911. assign V564603 = V230543 + 1. assign V695373 = V564150. assign V800705 = V759845 - 1. assign V694502 = V364777 + 1. assign V612216 = V800152 - 1. assign V810150 = V237021. assign V740380 = V800152. assign V633947 = V796195. assign V478692 = V633947 - 1. assign V887203 = V178297. assign V495496 = V874917 + 1. assign V197966 = V222090. assign V316082 = V172997 - 1. assign V795351 = V517138 + 1. assign V952106 = V689263 - 1. assign V745434 = V096033. assign V783363 = V798162 - 1. assign V120099 = V242366 + 1. assign V986413 = V528948 + 1. assign V303094 = V564150 - 1. assign V565062 = V896287. assign V971481 = V621412. assign V996030 = V295616 + 1. assign V922527 = V783363. assign V148151 = V792767 + 1. assign V160397 = V230543 + 1. assign V318208 = V108850. assign V371030 = V799102 - 1. assign V744671 = V150589. assign V432795 = V172997 + 1. assign V381820 = V812646. assign V353201 = V242366 - 1. assign V190713 = V096033. assign V757386 = V027047 + 1. assign V040148 = V788197 - 1. assign V413837 = V096033 + 1. assign V520373 = V458137 - 1. assign V254748 = V943614. assign V881146 = V839230 + 1. assign V486184 = V928230 + 1. assign V074701 = V221993. assign V806853 = V523859 - 1. assign V945602 = V472881. assign V334761 = V040148. assign V663598 = V241897.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV589294 = 5;\n\nFrom these direct assignment(s), we have: \nV351314 = V589294 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V351314;\nV962231 = V589294 - 1 = 5 - 1 =4;\nV641118 = V962231 + 1 = 4 + 1 =5;\nV623269 = V641118 = 5;\nV026973 = V623269 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V026973;\nNo other varaibles can be derived from V623269;\nV381241 = V641118 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V381241;\nNo other varaibles can be derived from V641118;\nV897461 = V962231 = 4;\nNo other varaibles can be derived from V897461;\nNo other varaibles can be derived from V962231;\nV296394 = V589294 - 1 = 5 - 1 =4;\nV282222 = V296394 + 1 = 4 + 1 =5;\nNo other varaibles can be derived from V282222;\nNo other varaibles can be derived from V296394;\nNo other varaibles can be derived from V589294;\n\nNow we have done all the calculations. Derived variables are:\nV589294 = 5;\nV351314 = 4;\nV962231 = 4;\nV641118 = 5;\nV623269 = 5;\nV026973 = 4;\nV381241 = 6;\nV897461 = 4;\nV296394 = 4;\nV282222 = 5;\n\nNow we have finished this problem. ANSWER:\nV351314, V962231, V026973, V897461, V296394\n", "role": "assistant" } ]

[ "V974607", "V289701", "V612998" ]

[ { "content": "<context>\nassign V873638 = V410802. assign V464857 = V318339 - 1. assign V120813 = V447233 - 1. assign V283433 = V735468 + 1. assign V591533 = V746901 - 1. assign V270761 = V160250. assign V356989 = V853721 + 1. assign V484718 = V544124. assign V852890 = V434664 + 1. assign V560546 = V564473. assign V627961 = V487711 - 1. assign V318339 = V634267 - 1. assign V122037 = V507349 - 1. assign V000054 = V504903 + 1. assign V487711 = V033093 + 1. assign V382089 = V754074. assign V950270 = V033093 - 1. assign V429736 = V782297. assign V007218 = V811255 - 1. assign V442213 = V410802 + 1. assign V727917 = V940281 - 1. assign V846916 = V139458 + 1. assign V415078 = V546909. assign V259253 = V415078. assign V069506 = V852890 - 1. assign V034115 = V892710. assign V055351 = V139458 + 1. assign V235891 = V953127 + 1. assign V963596 = V544124 + 1. assign V544647 = V014081 - 1. assign V897927 = V950270 - 1. assign V993059 = V564155 + 1. assign V670723 = V708672 + 1. assign V753291 = V822063 + 1. assign V303135 = V415078 + 1. assign V251900 = V146420. assign V552661 = V033093 - 1. assign V963805 = V746901. assign V310774 = V048177 + 1. assign V702443 = V897927 - 1. assign V508619 = V627961 + 1. assign V074075 = V429736 + 1. assign V340158 = V673824. assign V107004 = V033093 - 1. assign V082633 = V538423 - 1. assign V663529 = V065945. assign V970205 = V963805 - 1. assign V490072 = V622889 - 1. assign V512638 = V805386 - 1. assign V585985 = V606371. assign V763037 = V250441 + 1. assign V042684 = V311579 - 1. assign V885515 = V302449 + 1. assign V763072 = V367984 - 1. assign V663473 = V344821 - 1. assign V668027 = V277352 - 1. assign V133462 = V712306. assign V820264 = V837813 + 1. assign V153241 = V113016. assign V230632 = V901113 + 1. assign V404522 = V699595. assign V055636 = V000054 + 1. assign V232975 = V368463 + 1. assign V249650 = V708672. assign V357114 = V974607 + 1. assign V829072 = V375697. assign V115675 = V251900 + 1. assign V504903 = V423358 - 1. assign V974933 = V546909 + 1. assign V734754 = V564473. assign V882111 = V293014. assign V664654 = V028972 + 1. assign V404455 = V749312 - 1. assign V837813 = V538423. assign V546909 = V028972 + 1. assign V435744 = V568483 - 1. assign V997239 = V365323. assign V447233 = V344821 - 1. assign V709840 = V304073 - 1. assign V523582 = V122037 + 1. assign V440337 = V484718. assign V165643 = V115675 - 1. assign V169109 = V953127 - 1. assign V594429 = V302449 + 1. assign V033093 = V746901 - 1. assign V791606 = V512638. assign V195778 = V487711. assign V545317 = V708672 + 1. assign V706883 = V487711 + 1. assign V943369 = V663529 + 1. assign V586498 = V190385 + 1. assign V702192 = V749312 - 1. assign V145176 = V599156 - 1. assign V672969 = V082633 + 1. assign V174834 = V606371. assign V344821 = V882111. assign V753338 = V783185 + 1. assign V804683 = V947662. assign V518694 = V950270 - 1. assign V599156 = V802005 - 1. assign V763164 = V028972 - 1. assign V544124 = V882277 + 1. assign V835549 = V544124 - 1. assign V385496 = V974933 - 1. assign V071219 = V705523 - 1. assign V614359 = V031990 - 1. assign V365323 = V462464 - 1. assign V947662 = V447233 - 1. assign V275461 = V423358. assign V264944 = V672808 + 1. assign V436455 = V375697 - 1. assign V824789 = V547430 + 1. assign V031990 = V495301. assign V970690 = V443747 - 1. assign V443747 = V845251 - 1. assign V879711 = V974933 - 1. assign V689413 = V354488 - 1. assign V543447 = V033093 + 1. assign V813201 = V505427. assign V968960 = V033093 - 1. assign V315830 = V375697. assign V088823 = V512638. assign V966422 = V513251. assign V246348 = V410802 + 1. assign V421749 = V415078 + 1. assign V444262 = V257799 - 1. assign V153663 = V734754 - 1. assign V425357 = V443747 - 1. assign V087816 = V983461. assign V693365 = V327975 + 1. assign V536326 = V843373 - 1. assign V258928 = V159292. assign V976024 = V802043 - 1. assign V998963 = V467228 + 1. assign V811255 = V998963. assign V195239 = V174834 + 1. assign V940281 = V415078 + 1. assign V282153 = V249650 + 1. assign V227526 = V249650 + 1. assign V538423 = V259253 - 1. assign V634267 = V974607 - 1. assign V368463 = V421749 + 1. assign V065945 = V303135. assign V333567 = V673824 - 1. assign V218740 = V293014. assign V615381 = V065945 + 1. assign V805386 = V585985 - 1. assign V257799 = V327975. assign V315074 = V217403 - 1. assign V349363 = V250441 - 1. assign V289701 = V357114 - 1. assign V437989 = V791226. assign V718904 = V315830 - 1. assign V376705 = V301054 + 1. assign V259291 = V432596 - 1. assign V910689 = V544124 - 1. assign V620821 = V217403 - 1. assign V613845 = V879711 + 1. assign V754074 = V069554 + 1. assign V140230 = V564155 + 1. assign V547430 = V763164. assign V037737 = V940281. assign V293014 = V391154 - 1. assign V172429 = V512638 + 1. assign V006521 = V184115 - 1. assign V302449 = V673824 - 1. assign V564155 = V257799. assign V331336 = V622889. assign V591589 = V846916. assign V063114 = V144762. assign V822063 = V882111 - 1. assign V732277 = V858956. assign V157022 = V614359 + 1. assign V708672 = V327975 + 1. assign V348185 = V173312 - 1. assign V376234 = V291379 + 1. assign V513251 = V591533 - 1. assign V495301 = V205152. assign V266568 = V173312. assign V444919 = V843373. assign V255123 = V627961 + 1. assign V735468 = V661502 + 1. assign V423358 = V882277 - 1. assign V301005 = V467228 + 1. assign V747600 = V217403 - 1. assign V184115 = V467228 - 1. assign V144762 = V462464. assign V676575 = V957177. assign V324114 = V507349 + 1. assign V434664 = V249650 - 1. assign V962212 = V048177 - 1. assign V069990 = V747600 - 1. assign V765856 = V311579 + 1. assign V410802 = V235891 + 1. assign V573424 = V122037 - 1. assign V443030 = V311579 + 1. assign V191666 = V763164 - 1. assign V462464 = V028972. assign V638890 = V218740 - 1. assign V679775 = V436455 + 1. assign V884929 = V708672 + 1. assign V821871 = V843373. assign V014081 = V404522. assign V983461 = V094603 - 1. assign V205152 = V693365 - 1. assign V301470 = V750966 + 1. assign V855518 = V434664 - 1. assign V541780 = V055351. assign V882277 = V293014. assign V802005 = V340158. assign V505427 = V423358 - 1. assign V416000 = V301005 - 1. assign V454136 = V765856 + 1. assign V709584 = V865731 - 1. assign V608012 = V195239 - 1. assign V456477 = V811255. assign V250441 = V968960 - 1. assign V003497 = V217403 + 1. assign V974607 = 0. assign V595880 = V033093. assign V910424 = V444919 - 1. assign V755178 = V146420. assign V339344 = V432596 - 1. assign V139458 = V354488 + 1. assign V512512 = V301054. assign V986541 = V628305 + 1. assign V304073 = V218740 - 1. assign V301054 = V303135 + 1. assign V456952 = V950270. assign V135154 = V118991. assign V160250 = V150126 - 1. assign V006862 = V069506 - 1. assign V800155 = V613845 + 1. assign V148087 = V115743 - 1. assign V699595 = V897927 + 1. assign V432596 = V538423 + 1. assign V564473 = V205152 + 1. assign V615620 = V970205 + 1. assign V291379 = V327975 + 1. assign V746901 = V953127. assign V761823 = V734754 - 1. assign V246516 = V970690. assign V146420 = V964817 - 1. assign V843373 = V901113 + 1. assign V901113 = V391154 + 1. assign V802043 = V746901 + 1. assign V532467 = V544124 + 1. assign V845251 = V693365 + 1. assign V895876 = V608012. assign V016878 = V712306 - 1. assign V661502 = V144762 - 1. assign V611356 = V855518 + 1. assign V612998 = V634267 + 1. assign V973817 = V293014 - 1. assign V288973 = V235891 + 1. assign V159292 = V432596 + 1. assign V277352 = V627961 - 1. assign V094603 = V327975 - 1. assign V958888 = V805386 + 1. assign V721568 = V191529. assign V150126 = V423358 + 1. assign V202819 = V664654. assign V176367 = V638890 - 1. assign V853721 = V512638 - 1. assign V535101 = V230632 - 1. assign V307960 = V822063 - 1. assign V157399 = V259253. assign V953127 = V546909 - 1. assign V102706 = V307960. assign V940039 = V622889 - 1. assign V606371 = V293014 + 1. assign V172984 = V376234 - 1. assign V549297 = V037737 - 1. assign V840184 = V963805. assign V297208 = V218740 + 1. assign V173312 = V376234 - 1. assign V454966 = V443747 + 1. assign V568483 = V444919 + 1. assign V609868 = V689413 - 1. assign V113016 = V037737 - 1. assign V457487 = V822063 - 1. assign V984982 = V365323. assign V384809 = V404522 - 1. assign V712306 = V340158. assign V507349 = V591533 + 1. assign V309025 = V037737 + 1. assign V050776 = V190385 + 1. assign V693954 = V507349 - 1. assign V595011 = V538423 - 1. assign V791226 = V250441 - 1. assign V843925 = V532467. assign V477700 = V901113. assign V418319 = V523582. assign V564173 = V315830 + 1. assign V622889 = V546909 + 1. assign V118991 = V150126 + 1. assign V915242 = V708672 - 1. assign V804998 = V763164 - 1. assign V226929 = V564155. assign V048177 = V750966 - 1. assign V467228 = V301054 + 1. assign V790233 = V277352. assign V115743 = V783185. assign V793341 = V301054. assign V783185 = V727917. assign V255545 = V315830 - 1. assign V289810 = V490072. assign V358471 = V974933. assign V858956 = V444919 - 1. assign V327975 = V546909 + 1. assign V450610 = V495301 - 1. assign V892710 = V235891. assign V469092 = V940281. assign V483804 = V311579 - 1. assign V798792 = V048177 + 1. assign V171601 = V115743 - 1. assign V750966 = V487711. assign V628305 = V034115. assign V675566 = V277352 + 1. assign V861961 = V028972 + 1. assign V749312 = V546909 + 1. assign V672808 = V311579 + 1. assign V858559 = V367984 - 1. assign V869308 = V822063. assign V367984 = V301005 - 1. assign V291557 = V829072 + 1. assign V391154 = V415078. assign V190385 = V968960. assign V782297 = V822063 + 1. assign V183861 = V728910 + 1. assign V222462 = V289701 - 1. assign V263151 = V835549 - 1. assign V728910 = V375697 - 1. assign V174570 = V218740 + 1. assign V665128 = V028972 + 1. assign V069554 = V434664 + 1. assign V384890 = V456952 - 1. assign V217403 = V845251 - 1. assign V957177 = V033093. assign V311579 = V661502. assign V673824 = V892710 + 1. assign V865731 = V289701 - 1. assign V635737 = V148087 - 1. assign V705523 = V606371 + 1. assign V191529 = V673824 - 1. assign V396186 = V705523 - 1. assign V354488 = V301054 + 1. assign V129091 = V376234. assign V375697 = V957177 - 1. assign V964817 = V365323 - 1. assign V901930 = V970690.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V873638 = V410802. assign V464857 = V318339 - 1. assign V120813 = V447233 - 1. assign V283433 = V735468 + 1. assign V591533 = V746901 - 1. assign V270761 = V160250. assign V356989 = V853721 + 1. assign V484718 = V544124. assign V852890 = V434664 + 1. assign V560546 = V564473. assign V627961 = V487711 - 1. assign V318339 = V634267 - 1. assign V122037 = V507349 - 1. assign V000054 = V504903 + 1. assign V487711 = V033093 + 1. assign V382089 = V754074. assign V950270 = V033093 - 1. assign V429736 = V782297. assign V007218 = V811255 - 1. assign V442213 = V410802 + 1. assign V727917 = V940281 - 1. assign V846916 = V139458 + 1. assign V415078 = V546909. assign V259253 = V415078. assign V069506 = V852890 - 1. assign V034115 = V892710. assign V055351 = V139458 + 1. assign V235891 = V953127 + 1. assign V963596 = V544124 + 1. assign V544647 = V014081 - 1. assign V897927 = V950270 - 1. assign V993059 = V564155 + 1. assign V670723 = V708672 + 1. assign V753291 = V822063 + 1. assign V303135 = V415078 + 1. assign V251900 = V146420. assign V552661 = V033093 - 1. assign V963805 = V746901. assign V310774 = V048177 + 1. assign V702443 = V897927 - 1. assign V508619 = V627961 + 1. assign V074075 = V429736 + 1. assign V340158 = V673824. assign V107004 = V033093 - 1. assign V082633 = V538423 - 1. assign V663529 = V065945. assign V970205 = V963805 - 1. assign V490072 = V622889 - 1. assign V512638 = V805386 - 1. assign V585985 = V606371. assign V763037 = V250441 + 1. assign V042684 = V311579 - 1. assign V885515 = V302449 + 1. assign V763072 = V367984 - 1. assign V663473 = V344821 - 1. assign V668027 = V277352 - 1. assign V133462 = V712306. assign V820264 = V837813 + 1. assign V153241 = V113016. assign V230632 = V901113 + 1. assign V404522 = V699595. assign V055636 = V000054 + 1. assign V232975 = V368463 + 1. assign V249650 = V708672. assign V357114 = V974607 + 1. assign V829072 = V375697. assign V115675 = V251900 + 1. assign V504903 = V423358 - 1. assign V974933 = V546909 + 1. assign V734754 = V564473. assign V882111 = V293014. assign V664654 = V028972 + 1. assign V404455 = V749312 - 1. assign V837813 = V538423. assign V546909 = V028972 + 1. assign V435744 = V568483 - 1. assign V997239 = V365323. assign V447233 = V344821 - 1. assign V709840 = V304073 - 1. assign V523582 = V122037 + 1. assign V440337 = V484718. assign V165643 = V115675 - 1. assign V169109 = V953127 - 1. assign V594429 = V302449 + 1. assign V033093 = V746901 - 1. assign V791606 = V512638. assign V195778 = V487711. assign V545317 = V708672 + 1. assign V706883 = V487711 + 1. assign V943369 = V663529 + 1. assign V586498 = V190385 + 1. assign V702192 = V749312 - 1. assign V145176 = V599156 - 1. assign V672969 = V082633 + 1. assign V174834 = V606371. assign V344821 = V882111. assign V753338 = V783185 + 1. assign V804683 = V947662. assign V518694 = V950270 - 1. assign V599156 = V802005 - 1. assign V763164 = V028972 - 1. assign V544124 = V882277 + 1. assign V835549 = V544124 - 1. assign V385496 = V974933 - 1. assign V071219 = V705523 - 1. assign V614359 = V031990 - 1. assign V365323 = V462464 - 1. assign V947662 = V447233 - 1. assign V275461 = V423358. assign V264944 = V672808 + 1. assign V436455 = V375697 - 1. assign V824789 = V547430 + 1. assign V031990 = V495301. assign V970690 = V443747 - 1. assign V443747 = V845251 - 1. assign V879711 = V974933 - 1. assign V689413 = V354488 - 1. assign V543447 = V033093 + 1. assign V813201 = V505427. assign V968960 = V033093 - 1. assign V315830 = V375697. assign V088823 = V512638. assign V966422 = V513251. assign V246348 = V410802 + 1. assign V421749 = V415078 + 1. assign V444262 = V257799 - 1. assign V153663 = V734754 - 1. assign V425357 = V443747 - 1. assign V087816 = V983461. assign V693365 = V327975 + 1. assign V536326 = V843373 - 1. assign V258928 = V159292. assign V976024 = V802043 - 1. assign V998963 = V467228 + 1. assign V811255 = V998963. assign V195239 = V174834 + 1. assign V940281 = V415078 + 1. assign V282153 = V249650 + 1. assign V227526 = V249650 + 1. assign V538423 = V259253 - 1. assign V634267 = V974607 - 1. assign V368463 = V421749 + 1. assign V065945 = V303135. assign V333567 = V673824 - 1. assign V218740 = V293014. assign V615381 = V065945 + 1. assign V805386 = V585985 - 1. assign V257799 = V327975. assign V315074 = V217403 - 1. assign V349363 = V250441 - 1. assign V289701 = V357114 - 1. assign V437989 = V791226. assign V718904 = V315830 - 1. assign V376705 = V301054 + 1. assign V259291 = V432596 - 1. assign V910689 = V544124 - 1. assign V620821 = V217403 - 1. assign V613845 = V879711 + 1. assign V754074 = V069554 + 1. assign V140230 = V564155 + 1. assign V547430 = V763164. assign V037737 = V940281. assign V293014 = V391154 - 1. assign V172429 = V512638 + 1. assign V006521 = V184115 - 1. assign V302449 = V673824 - 1. assign V564155 = V257799. assign V331336 = V622889. assign V591589 = V846916. assign V063114 = V144762. assign V822063 = V882111 - 1. assign V732277 = V858956. assign V157022 = V614359 + 1. assign V708672 = V327975 + 1. assign V348185 = V173312 - 1. assign V376234 = V291379 + 1. assign V513251 = V591533 - 1. assign V495301 = V205152. assign V266568 = V173312. assign V444919 = V843373. assign V255123 = V627961 + 1. assign V735468 = V661502 + 1. assign V423358 = V882277 - 1. assign V301005 = V467228 + 1. assign V747600 = V217403 - 1. assign V184115 = V467228 - 1. assign V144762 = V462464. assign V676575 = V957177. assign V324114 = V507349 + 1. assign V434664 = V249650 - 1. assign V962212 = V048177 - 1. assign V069990 = V747600 - 1. assign V765856 = V311579 + 1. assign V410802 = V235891 + 1. assign V573424 = V122037 - 1. assign V443030 = V311579 + 1. assign V191666 = V763164 - 1. assign V462464 = V028972. assign V638890 = V218740 - 1. assign V679775 = V436455 + 1. assign V884929 = V708672 + 1. assign V821871 = V843373. assign V014081 = V404522. assign V983461 = V094603 - 1. assign V205152 = V693365 - 1. assign V301470 = V750966 + 1. assign V855518 = V434664 - 1. assign V541780 = V055351. assign V882277 = V293014. assign V802005 = V340158. assign V505427 = V423358 - 1. assign V416000 = V301005 - 1. assign V454136 = V765856 + 1. assign V709584 = V865731 - 1. assign V608012 = V195239 - 1. assign V456477 = V811255. assign V250441 = V968960 - 1. assign V003497 = V217403 + 1. assign V974607 = 0. assign V595880 = V033093. assign V910424 = V444919 - 1. assign V755178 = V146420. assign V339344 = V432596 - 1. assign V139458 = V354488 + 1. assign V512512 = V301054. assign V986541 = V628305 + 1. assign V304073 = V218740 - 1. assign V301054 = V303135 + 1. assign V456952 = V950270. assign V135154 = V118991. assign V160250 = V150126 - 1. assign V006862 = V069506 - 1. assign V800155 = V613845 + 1. assign V148087 = V115743 - 1. assign V699595 = V897927 + 1. assign V432596 = V538423 + 1. assign V564473 = V205152 + 1. assign V615620 = V970205 + 1. assign V291379 = V327975 + 1. assign V746901 = V953127. assign V761823 = V734754 - 1. assign V246516 = V970690. assign V146420 = V964817 - 1. assign V843373 = V901113 + 1. assign V901113 = V391154 + 1. assign V802043 = V746901 + 1. assign V532467 = V544124 + 1. assign V845251 = V693365 + 1. assign V895876 = V608012. assign V016878 = V712306 - 1. assign V661502 = V144762 - 1. assign V611356 = V855518 + 1. assign V612998 = V634267 + 1. assign V973817 = V293014 - 1. assign V288973 = V235891 + 1. assign V159292 = V432596 + 1. assign V277352 = V627961 - 1. assign V094603 = V327975 - 1. assign V958888 = V805386 + 1. assign V721568 = V191529. assign V150126 = V423358 + 1. assign V202819 = V664654. assign V176367 = V638890 - 1. assign V853721 = V512638 - 1. assign V535101 = V230632 - 1. assign V307960 = V822063 - 1. assign V157399 = V259253. assign V953127 = V546909 - 1. assign V102706 = V307960. assign V940039 = V622889 - 1. assign V606371 = V293014 + 1. assign V172984 = V376234 - 1. assign V549297 = V037737 - 1. assign V840184 = V963805. assign V297208 = V218740 + 1. assign V173312 = V376234 - 1. assign V454966 = V443747 + 1. assign V568483 = V444919 + 1. assign V609868 = V689413 - 1. assign V113016 = V037737 - 1. assign V457487 = V822063 - 1. assign V984982 = V365323. assign V384809 = V404522 - 1. assign V712306 = V340158. assign V507349 = V591533 + 1. assign V309025 = V037737 + 1. assign V050776 = V190385 + 1. assign V693954 = V507349 - 1. assign V595011 = V538423 - 1. assign V791226 = V250441 - 1. assign V843925 = V532467. assign V477700 = V901113. assign V418319 = V523582. assign V564173 = V315830 + 1. assign V622889 = V546909 + 1. assign V118991 = V150126 + 1. assign V915242 = V708672 - 1. assign V804998 = V763164 - 1. assign V226929 = V564155. assign V048177 = V750966 - 1. assign V467228 = V301054 + 1. assign V790233 = V277352. assign V115743 = V783185. assign V793341 = V301054. assign V783185 = V727917. assign V255545 = V315830 - 1. assign V289810 = V490072. assign V358471 = V974933. assign V858956 = V444919 - 1. assign V327975 = V546909 + 1. assign V450610 = V495301 - 1. assign V892710 = V235891. assign V469092 = V940281. assign V483804 = V311579 - 1. assign V798792 = V048177 + 1. assign V171601 = V115743 - 1. assign V750966 = V487711. assign V628305 = V034115. assign V675566 = V277352 + 1. assign V861961 = V028972 + 1. assign V749312 = V546909 + 1. assign V672808 = V311579 + 1. assign V858559 = V367984 - 1. assign V869308 = V822063. assign V367984 = V301005 - 1. assign V291557 = V829072 + 1. assign V391154 = V415078. assign V190385 = V968960. assign V782297 = V822063 + 1. assign V183861 = V728910 + 1. assign V222462 = V289701 - 1. assign V263151 = V835549 - 1. assign V728910 = V375697 - 1. assign V174570 = V218740 + 1. assign V665128 = V028972 + 1. assign V069554 = V434664 + 1. assign V384890 = V456952 - 1. assign V217403 = V845251 - 1. assign V957177 = V033093. assign V311579 = V661502. assign V673824 = V892710 + 1. assign V865731 = V289701 - 1. assign V635737 = V148087 - 1. assign V705523 = V606371 + 1. assign V191529 = V673824 - 1. assign V396186 = V705523 - 1. assign V354488 = V301054 + 1. assign V129091 = V376234. assign V375697 = V957177 - 1. assign V964817 = V365323 - 1. assign V901930 = V970690.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV974607 = 0;\n\nFrom these direct assignment(s), we have: \nV634267 = V974607 - 1 = 0 - 1 =-1;\nV612998 = V634267 + 1 = -1 + 1 =0;\nNo other varaibles can be derived from V612998;\nV318339 = V634267 - 1 = -1 - 1 =-2;\nV464857 = V318339 - 1 = -2 - 1 =-3;\nNo other varaibles can be derived from V464857;\nNo other varaibles can be derived from V318339;\nNo other varaibles can be derived from V634267;\nV357114 = V974607 + 1 = 0 + 1 =1;\nV289701 = V357114 - 1 = 1 - 1 =0;\nV865731 = V289701 - 1 = 0 - 1 =-1;\nV709584 = V865731 - 1 = -1 - 1 =-2;\nNo other varaibles can be derived from V709584;\nNo other varaibles can be derived from V865731;\nV222462 = V289701 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V222462;\nNo other varaibles can be derived from V289701;\nNo other varaibles can be derived from V357114;\nNo other varaibles can be derived from V974607;\n\nNow we have done all the calculations. Derived variables are:\nV974607 = 0;\nV634267 = -1;\nV612998 = 0;\nV318339 = -2;\nV464857 = -3;\nV357114 = 1;\nV289701 = 0;\nV865731 = -1;\nV709584 = -2;\nV222462 = -1;\n\nNow we have finished this problem. ANSWER:\nV974607, V612998, V289701\n", "role": "assistant" } ]

[ "V061321", "V213916", "V751701", "V200967" ]

[ { "content": "<context>\nassign V152063 = V213916 + 1. assign V214520 = V542351 - 1. assign V677133 = V002577 + 1. assign V705008 = V183008. assign V077856 = V886745 + 1. assign V122401 = V613227. assign V148064 = V303579 + 1. assign V410894 = V974219 + 1. assign V845974 = V156338 + 1. assign V573274 = V783965 - 1. assign V262321 = V757339 - 1. assign V632617 = V419294 + 1. assign V915769 = V745797 - 1. assign V059129 = V321416 + 1. assign V962693 = V321416. assign V287432 = V313584 + 1. assign V626289 = V892622 - 1. assign V516335 = V584852 + 1. assign V851727 = V915769. assign V497480 = V346265 + 1. assign V626786 = V310492 + 1. assign V200967 = V152063 - 1. assign V498873 = V383193 - 1. assign V943706 = V445307. assign V848884 = V169319 + 1. assign V617040 = V418106 + 1. assign V933931 = V724004 - 1. assign V898122 = V056004 - 1. assign V965803 = V169319 - 1. assign V871612 = V813399 - 1. assign V431033 = V213916 - 1. assign V223533 = V986900 + 1. assign V307656 = V026720 - 1. assign V821725 = V706521 + 1. assign V372183 = V156338 - 1. assign V196148 = V948942. assign V683181 = V987919 + 1. assign V708998 = V418106 - 1. assign V061321 = 1. assign V931358 = V556921. assign V453768 = V900753 + 1. assign V050032 = V732208. assign V256365 = V140371 + 1. assign V793265 = V420400 + 1. assign V611788 = V039391. assign V023476 = V061321 - 1. assign V567292 = V973055 - 1. assign V027742 = V573185 + 1. assign V797927 = V059129 - 1. assign V548148 = V822113. assign V912888 = V231206 - 1. assign V130666 = V900655 - 1. assign V596158 = V831224. assign V039391 = V043770 + 1. assign V569996 = V531299 + 1. assign V896724 = V726212 - 1. assign V635761 = V732208 - 1. assign V315694 = V813399 + 1. assign V559133 = V753033 - 1. assign V715134 = V002277 + 1. assign V659089 = V079278. assign V411339 = V572906. assign V023341 = V809908 - 1. assign V649627 = V418106 - 1. assign V783965 = V869922. assign V814104 = V570159 + 1. assign V589120 = V705008 - 1. assign V984522 = V822113 + 1. assign V816422 = V256365. assign V044415 = V114250 - 1. assign V255867 = V329808. assign V303579 = V898122 - 1. assign V167817 = V114250 - 1. assign V905902 = V867917 + 1. assign V441630 = V790224 - 1. assign V142112 = V023341. assign V381284 = V898122 - 1. assign V813399 = V079278. assign V651153 = V643021 - 1. assign V588187 = V399021. assign V765543 = V822113. assign V693015 = V790914. assign V203811 = V732208 + 1. assign V517532 = V419904 + 1. assign V153530 = V816422 + 1. assign V329808 = V750869 + 1. assign V843531 = V855958 - 1. assign V692380 = V738337. assign V385079 = V310492 - 1. assign V056004 = V518686 - 1. assign V012246 = V167817. assign V841696 = V766018. assign V243078 = V410894 - 1. assign V563123 = V399021 + 1. assign V112878 = V075008. assign V095846 = V798843 - 1. assign V678825 = V056004 + 1. assign V156338 = V635761 + 1. assign V445307 = V252706 - 1. assign V409759 = V056004 + 1. assign V833819 = V984522. assign V915064 = V563123 - 1. assign V118919 = V613227 + 1. assign V520337 = V531299. assign V043770 = V823073 - 1. assign V790914 = V075008. assign V886745 = V321416. assign V624881 = V792264. assign V510322 = V974219 - 1. assign V557752 = V968903 - 1. assign V845804 = V303579 - 1. assign V211850 = V497480 + 1. assign V181266 = V381541 + 1. assign V390446 = V152063. assign V564141 = V678825 + 1. assign V882813 = V635761. assign V792264 = V062854 + 1. assign V862573 = V372183. assign V542351 = V790224 - 1. assign V099362 = V700438. assign V824431 = V112878. assign V372300 = V472099 - 1. assign V252706 = V898122 - 1. assign V918792 = V965803 + 1. assign V310492 = V518686 + 1. assign V123752 = V310492. assign V075774 = V140371. assign V254712 = V321416 + 1. assign V302651 = V023341. assign V535599 = V167817 + 1. assign V260267 = V882813. assign V079278 = V898122. assign V518686 = V635761. assign V883069 = V303579 - 1. assign V026720 = V440525 - 1. assign V141369 = V626289 - 1. assign V887328 = V453768. assign V002277 = V518686. assign V822113 = V531299 - 1. assign V231206 = V705008. assign V245396 = V440525 + 1. assign V697232 = V896695 + 1. assign V769690 = V973055 + 1. assign V520856 = V855958 - 1. assign V854187 = V193712 + 1. assign V440525 = V732208. assign V633030 = V267379 + 1. assign V559086 = V310492 + 1. assign V974219 = V372621 - 1. assign V551967 = V032641. assign V450755 = V409759 + 1. assign V973055 = V790914 - 1. assign V968903 = V203811 + 1. assign V066164 = V635761 + 1. assign V653593 = V167817. assign V584582 = V061321 - 1. assign V418106 = V441630. assign V372621 = V203811 + 1. assign V518035 = V832921 + 1. assign V439318 = V655319 + 1. assign V526293 = V732208 + 1. assign V886153 = V075008. assign V751701 = V061321. assign V058056 = V732208 - 1. assign V388038 = V439318 - 1. assign V219455 = V845804. assign V473757 = V399021. assign V201736 = V032641. assign V572906 = V596158 - 1. assign V869922 = V822113 + 1. assign V267379 = V372621 + 1. assign V346265 = V706521 - 1. assign V596008 = V732208 - 1. assign V054599 = V122401. assign V832921 = V054346. assign V631387 = V118919. assign V720251 = V706521 - 1. assign V805041 = V572906 + 1. assign V114250 = V732208 - 1. assign V724033 = V845804 + 1. assign V487649 = V948942 + 1. assign V787244 = V559086 - 1. assign V900655 = V012246 + 1. assign V972842 = V845804. assign V831224 = V900753 + 1. assign V258757 = V257921 + 1. assign V676352 = V169319 + 1. assign V179816 = V256365 - 1. assign V216886 = V234055 + 1. assign V941772 = V570159 - 1. assign V683924 = V823073 - 1. assign V889553 = V321416. assign V858968 = V692088. assign V936487 = V831224. assign V062854 = V440525. assign V630151 = V822113 - 1. assign V202153 = V023341 + 1. assign V399015 = V793808 + 1. assign V234055 = V114250 + 1. assign V575494 = V419294 - 1. assign V738337 = V091041 + 1. assign V099936 = V223533 - 1. assign V154052 = V024465 + 1. assign V700551 = V563577 - 1. assign V568117 = V858968. assign V753033 = V002277. assign V563577 = V058056 - 1. assign V376442 = V822113 - 1. assign V054346 = V797927 + 1. assign V505950 = V388038 - 1. assign V593824 = V307656 + 1. assign V114695 = V203811. assign V381541 = V822113 - 1. assign V764746 = V643021. assign V437774 = V798843 + 1. assign V256264 = V738337 - 1. assign V176260 = V381541. assign V230210 = V388038 - 1. assign V419904 = V886153 + 1. assign V810107 = V559086 - 1. assign V169319 = V889553 - 1. assign V031827 = V900655 - 1. assign V948942 = V023341 - 1. assign V750427 = V896724 - 1. assign V986900 = V151436 - 1. assign V420400 = V058056. assign V573185 = V400286 + 1. assign V020375 = V497480 - 1. assign V068768 = V626289 + 1. assign V140371 = V900753 + 1. assign V097585 = V169319. assign V855958 = V054346 + 1. assign V419559 = V399015. assign V498458 = V167817 - 1. assign V055309 = V797927 + 1. assign V485378 = V969048. assign V321416 = V140371 - 1. assign V185610 = V114250 - 1. assign V726212 = V114250 + 1. assign V338633 = V125313. assign V091041 = V493396 + 1. assign V805812 = V258757 + 1. assign V239399 = V181266 - 1. assign V234646 = V242998. assign V126781 = V787244 + 1. assign V527348 = V245396 + 1. assign V777210 = V181266. assign V002577 = V843531 - 1. assign V969048 = V968903. assign V894107 = V548148 + 1. assign V311977 = V715134 + 1. assign V235633 = V635761 + 1. assign V757339 = V857265 - 1. assign V090746 = V765543 + 1. assign V264615 = V823073 - 1. assign V531299 = V275930. assign V125313 = V062854 - 1. assign V382133 = V418106 + 1. assign V766388 = V118919 + 1. assign V213916 = V061321. assign V317831 = V631293 - 1. assign V766018 = V790914 - 1. assign V032641 = V798843 - 1. assign V663773 = V103094 - 1. assign V584852 = V256365 + 1. assign V896695 = V420400. assign V489900 = V275930 + 1. assign V987919 = V898122. assign V103094 = V211850. assign V209288 = V059129. assign V478542 = V245396 + 1. assign V798843 = V023341. assign V899132 = V216886 + 1. assign V570159 = V151436 + 1. assign V510160 = V900753 + 1. assign V275930 = V809908 + 1. assign V643021 = V381541. assign V809908 = V518686 - 1. assign V687238 = V056004 + 1. assign V745797 = V230210. assign V465915 = V058056 + 1. assign V419294 = V876134. assign V092653 = V518686 + 1. assign V242998 = V118919. assign V601247 = V986900 - 1. assign V706521 = V256365 - 1. assign V283056 = V900753 + 1. assign V739229 = V751701 - 1. assign V818635 = V831224 - 1. assign V358590 = V632617 - 1. assign V246947 = V372621 - 1. assign V472099 = V231206. assign V655319 = V635761. assign V874968 = V310492 - 1. assign V635991 = V809908 + 1. assign V399021 = V635991 + 1. assign V051617 = V489900 - 1. assign V732208 = V321416. assign V313584 = V548148. assign V840161 = V214520 - 1. assign V493396 = V635761 - 1. assign V909957 = V816422. assign V257921 = V589120 + 1. assign V712938 = V635991 - 1. assign V556921 = V693015. assign V867917 = V936487 + 1. assign V084965 = V677133. assign V417916 = V231206 + 1. assign V224583 = V900753 - 1. assign V585661 = V381541 - 1. assign V024465 = V793808. assign V082713 = V310492 - 1. assign V933673 = V676352 + 1. assign V857265 = V809908. assign V631293 = V876134 + 1. assign V501849 = V892622 + 1. assign V692088 = V613227. assign V972019 = V518686 - 1. assign V383193 = V693015 + 1. assign V309178 = V918792 - 1. assign V892622 = V596008. assign V793808 = V140371 - 1. assign V876134 = V372183 + 1. assign V454922 = V889553. assign V151436 = V845974 - 1. assign V183008 = V845974 + 1. assign V626907 = V655319 - 1. assign V079094 = V122401. assign V724004 = V235633 + 1. assign V823073 = V792264 + 1. assign V400286 = V874968. assign V075008 = V635761. assign V505843 = V372183 + 1. assign V688850 = V886153 - 1. assign V952225 = V054599 - 1. assign V323941 = V896695 + 1. assign V396620 = V388038 - 1. assign V363953 = V223533. assign V286323 = V381541. assign V790224 = V242998. assign V193712 = V151436. assign V424280 = V790224 - 1. assign V611400 = V720251 + 1. assign V700438 = V256264 + 1. assign V613227 = V732208 - 1. assign V211795 = V439318 - 1. assign V750869 = V632617 - 1. assign V009450 = V283056 - 1. assign V257457 = V798843 + 1. assign V099053 = V303579. assign V694173 = V020375 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V152063 = V213916 + 1. assign V214520 = V542351 - 1. assign V677133 = V002577 + 1. assign V705008 = V183008. assign V077856 = V886745 + 1. assign V122401 = V613227. assign V148064 = V303579 + 1. assign V410894 = V974219 + 1. assign V845974 = V156338 + 1. assign V573274 = V783965 - 1. assign V262321 = V757339 - 1. assign V632617 = V419294 + 1. assign V915769 = V745797 - 1. assign V059129 = V321416 + 1. assign V962693 = V321416. assign V287432 = V313584 + 1. assign V626289 = V892622 - 1. assign V516335 = V584852 + 1. assign V851727 = V915769. assign V497480 = V346265 + 1. assign V626786 = V310492 + 1. assign V200967 = V152063 - 1. assign V498873 = V383193 - 1. assign V943706 = V445307. assign V848884 = V169319 + 1. assign V617040 = V418106 + 1. assign V933931 = V724004 - 1. assign V898122 = V056004 - 1. assign V965803 = V169319 - 1. assign V871612 = V813399 - 1. assign V431033 = V213916 - 1. assign V223533 = V986900 + 1. assign V307656 = V026720 - 1. assign V821725 = V706521 + 1. assign V372183 = V156338 - 1. assign V196148 = V948942. assign V683181 = V987919 + 1. assign V708998 = V418106 - 1. assign V061321 = 1. assign V931358 = V556921. assign V453768 = V900753 + 1. assign V050032 = V732208. assign V256365 = V140371 + 1. assign V793265 = V420400 + 1. assign V611788 = V039391. assign V023476 = V061321 - 1. assign V567292 = V973055 - 1. assign V027742 = V573185 + 1. assign V797927 = V059129 - 1. assign V548148 = V822113. assign V912888 = V231206 - 1. assign V130666 = V900655 - 1. assign V596158 = V831224. assign V039391 = V043770 + 1. assign V569996 = V531299 + 1. assign V896724 = V726212 - 1. assign V635761 = V732208 - 1. assign V315694 = V813399 + 1. assign V559133 = V753033 - 1. assign V715134 = V002277 + 1. assign V659089 = V079278. assign V411339 = V572906. assign V023341 = V809908 - 1. assign V649627 = V418106 - 1. assign V783965 = V869922. assign V814104 = V570159 + 1. assign V589120 = V705008 - 1. assign V984522 = V822113 + 1. assign V816422 = V256365. assign V044415 = V114250 - 1. assign V255867 = V329808. assign V303579 = V898122 - 1. assign V167817 = V114250 - 1. assign V905902 = V867917 + 1. assign V441630 = V790224 - 1. assign V142112 = V023341. assign V381284 = V898122 - 1. assign V813399 = V079278. assign V651153 = V643021 - 1. assign V588187 = V399021. assign V765543 = V822113. assign V693015 = V790914. assign V203811 = V732208 + 1. assign V517532 = V419904 + 1. assign V153530 = V816422 + 1. assign V329808 = V750869 + 1. assign V843531 = V855958 - 1. assign V692380 = V738337. assign V385079 = V310492 - 1. assign V056004 = V518686 - 1. assign V012246 = V167817. assign V841696 = V766018. assign V243078 = V410894 - 1. assign V563123 = V399021 + 1. assign V112878 = V075008. assign V095846 = V798843 - 1. assign V678825 = V056004 + 1. assign V156338 = V635761 + 1. assign V445307 = V252706 - 1. assign V409759 = V056004 + 1. assign V833819 = V984522. assign V915064 = V563123 - 1. assign V118919 = V613227 + 1. assign V520337 = V531299. assign V043770 = V823073 - 1. assign V790914 = V075008. assign V886745 = V321416. assign V624881 = V792264. assign V510322 = V974219 - 1. assign V557752 = V968903 - 1. assign V845804 = V303579 - 1. assign V211850 = V497480 + 1. assign V181266 = V381541 + 1. assign V390446 = V152063. assign V564141 = V678825 + 1. assign V882813 = V635761. assign V792264 = V062854 + 1. assign V862573 = V372183. assign V542351 = V790224 - 1. assign V099362 = V700438. assign V824431 = V112878. assign V372300 = V472099 - 1. assign V252706 = V898122 - 1. assign V918792 = V965803 + 1. assign V310492 = V518686 + 1. assign V123752 = V310492. assign V075774 = V140371. assign V254712 = V321416 + 1. assign V302651 = V023341. assign V535599 = V167817 + 1. assign V260267 = V882813. assign V079278 = V898122. assign V518686 = V635761. assign V883069 = V303579 - 1. assign V026720 = V440525 - 1. assign V141369 = V626289 - 1. assign V887328 = V453768. assign V002277 = V518686. assign V822113 = V531299 - 1. assign V231206 = V705008. assign V245396 = V440525 + 1. assign V697232 = V896695 + 1. assign V769690 = V973055 + 1. assign V520856 = V855958 - 1. assign V854187 = V193712 + 1. assign V440525 = V732208. assign V633030 = V267379 + 1. assign V559086 = V310492 + 1. assign V974219 = V372621 - 1. assign V551967 = V032641. assign V450755 = V409759 + 1. assign V973055 = V790914 - 1. assign V968903 = V203811 + 1. assign V066164 = V635761 + 1. assign V653593 = V167817. assign V584582 = V061321 - 1. assign V418106 = V441630. assign V372621 = V203811 + 1. assign V518035 = V832921 + 1. assign V439318 = V655319 + 1. assign V526293 = V732208 + 1. assign V886153 = V075008. assign V751701 = V061321. assign V058056 = V732208 - 1. assign V388038 = V439318 - 1. assign V219455 = V845804. assign V473757 = V399021. assign V201736 = V032641. assign V572906 = V596158 - 1. assign V869922 = V822113 + 1. assign V267379 = V372621 + 1. assign V346265 = V706521 - 1. assign V596008 = V732208 - 1. assign V054599 = V122401. assign V832921 = V054346. assign V631387 = V118919. assign V720251 = V706521 - 1. assign V805041 = V572906 + 1. assign V114250 = V732208 - 1. assign V724033 = V845804 + 1. assign V487649 = V948942 + 1. assign V787244 = V559086 - 1. assign V900655 = V012246 + 1. assign V972842 = V845804. assign V831224 = V900753 + 1. assign V258757 = V257921 + 1. assign V676352 = V169319 + 1. assign V179816 = V256365 - 1. assign V216886 = V234055 + 1. assign V941772 = V570159 - 1. assign V683924 = V823073 - 1. assign V889553 = V321416. assign V858968 = V692088. assign V936487 = V831224. assign V062854 = V440525. assign V630151 = V822113 - 1. assign V202153 = V023341 + 1. assign V399015 = V793808 + 1. assign V234055 = V114250 + 1. assign V575494 = V419294 - 1. assign V738337 = V091041 + 1. assign V099936 = V223533 - 1. assign V154052 = V024465 + 1. assign V700551 = V563577 - 1. assign V568117 = V858968. assign V753033 = V002277. assign V563577 = V058056 - 1. assign V376442 = V822113 - 1. assign V054346 = V797927 + 1. assign V505950 = V388038 - 1. assign V593824 = V307656 + 1. assign V114695 = V203811. assign V381541 = V822113 - 1. assign V764746 = V643021. assign V437774 = V798843 + 1. assign V256264 = V738337 - 1. assign V176260 = V381541. assign V230210 = V388038 - 1. assign V419904 = V886153 + 1. assign V810107 = V559086 - 1. assign V169319 = V889553 - 1. assign V031827 = V900655 - 1. assign V948942 = V023341 - 1. assign V750427 = V896724 - 1. assign V986900 = V151436 - 1. assign V420400 = V058056. assign V573185 = V400286 + 1. assign V020375 = V497480 - 1. assign V068768 = V626289 + 1. assign V140371 = V900753 + 1. assign V097585 = V169319. assign V855958 = V054346 + 1. assign V419559 = V399015. assign V498458 = V167817 - 1. assign V055309 = V797927 + 1. assign V485378 = V969048. assign V321416 = V140371 - 1. assign V185610 = V114250 - 1. assign V726212 = V114250 + 1. assign V338633 = V125313. assign V091041 = V493396 + 1. assign V805812 = V258757 + 1. assign V239399 = V181266 - 1. assign V234646 = V242998. assign V126781 = V787244 + 1. assign V527348 = V245396 + 1. assign V777210 = V181266. assign V002577 = V843531 - 1. assign V969048 = V968903. assign V894107 = V548148 + 1. assign V311977 = V715134 + 1. assign V235633 = V635761 + 1. assign V757339 = V857265 - 1. assign V090746 = V765543 + 1. assign V264615 = V823073 - 1. assign V531299 = V275930. assign V125313 = V062854 - 1. assign V382133 = V418106 + 1. assign V766388 = V118919 + 1. assign V213916 = V061321. assign V317831 = V631293 - 1. assign V766018 = V790914 - 1. assign V032641 = V798843 - 1. assign V663773 = V103094 - 1. assign V584852 = V256365 + 1. assign V896695 = V420400. assign V489900 = V275930 + 1. assign V987919 = V898122. assign V103094 = V211850. assign V209288 = V059129. assign V478542 = V245396 + 1. assign V798843 = V023341. assign V899132 = V216886 + 1. assign V570159 = V151436 + 1. assign V510160 = V900753 + 1. assign V275930 = V809908 + 1. assign V643021 = V381541. assign V809908 = V518686 - 1. assign V687238 = V056004 + 1. assign V745797 = V230210. assign V465915 = V058056 + 1. assign V419294 = V876134. assign V092653 = V518686 + 1. assign V242998 = V118919. assign V601247 = V986900 - 1. assign V706521 = V256365 - 1. assign V283056 = V900753 + 1. assign V739229 = V751701 - 1. assign V818635 = V831224 - 1. assign V358590 = V632617 - 1. assign V246947 = V372621 - 1. assign V472099 = V231206. assign V655319 = V635761. assign V874968 = V310492 - 1. assign V635991 = V809908 + 1. assign V399021 = V635991 + 1. assign V051617 = V489900 - 1. assign V732208 = V321416. assign V313584 = V548148. assign V840161 = V214520 - 1. assign V493396 = V635761 - 1. assign V909957 = V816422. assign V257921 = V589120 + 1. assign V712938 = V635991 - 1. assign V556921 = V693015. assign V867917 = V936487 + 1. assign V084965 = V677133. assign V417916 = V231206 + 1. assign V224583 = V900753 - 1. assign V585661 = V381541 - 1. assign V024465 = V793808. assign V082713 = V310492 - 1. assign V933673 = V676352 + 1. assign V857265 = V809908. assign V631293 = V876134 + 1. assign V501849 = V892622 + 1. assign V692088 = V613227. assign V972019 = V518686 - 1. assign V383193 = V693015 + 1. assign V309178 = V918792 - 1. assign V892622 = V596008. assign V793808 = V140371 - 1. assign V876134 = V372183 + 1. assign V454922 = V889553. assign V151436 = V845974 - 1. assign V183008 = V845974 + 1. assign V626907 = V655319 - 1. assign V079094 = V122401. assign V724004 = V235633 + 1. assign V823073 = V792264 + 1. assign V400286 = V874968. assign V075008 = V635761. assign V505843 = V372183 + 1. assign V688850 = V886153 - 1. assign V952225 = V054599 - 1. assign V323941 = V896695 + 1. assign V396620 = V388038 - 1. assign V363953 = V223533. assign V286323 = V381541. assign V790224 = V242998. assign V193712 = V151436. assign V424280 = V790224 - 1. assign V611400 = V720251 + 1. assign V700438 = V256264 + 1. assign V613227 = V732208 - 1. assign V211795 = V439318 - 1. assign V750869 = V632617 - 1. assign V009450 = V283056 - 1. assign V257457 = V798843 + 1. assign V099053 = V303579. assign V694173 = V020375 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV061321 = 1;\n\nFrom these direct assignment(s), we have: \nV213916 = V061321 = 1;\nV431033 = V213916 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V431033;\nV152063 = V213916 + 1 = 1 + 1 =2;\nV390446 = V152063 = 2;\nNo other varaibles can be derived from V390446;\nV200967 = V152063 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V200967;\nNo other varaibles can be derived from V152063;\nNo other varaibles can be derived from V213916;\nV751701 = V061321 = 1;\nV739229 = V751701 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V739229;\nNo other varaibles can be derived from V751701;\nV584582 = V061321 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V584582;\nV023476 = V061321 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V023476;\nNo other varaibles can be derived from V061321;\n\nNow we have done all the calculations. Derived variables are:\nV061321 = 1;\nV213916 = 1;\nV431033 = 0;\nV152063 = 2;\nV390446 = 2;\nV200967 = 1;\nV751701 = 1;\nV739229 = 0;\nV584582 = 0;\nV023476 = 0;\n\nNow we have finished this problem. ANSWER:\nV061321, V213916, V200967, V751701\n", "role": "assistant" } ]

[ "V839511", "V338173", "V012187", "V647285", "V193309" ]

[ { "content": "<context>\nassign V987157 = V283358 + 1. assign V629434 = V948147 + 1. assign V264317 = V370208. assign V681604 = V161484 - 1. assign V929244 = V531964 + 1. assign V086933 = V855341 + 1. assign V689627 = V361878 - 1. assign V874316 = V110788 + 1. assign V979418 = V121216 + 1. assign V069536 = V899088 - 1. assign V354338 = V136810 + 1. assign V330014 = V655191 + 1. assign V737132 = V789232. assign V695815 = V012187 - 1. assign V360072 = V866957 - 1. assign V224389 = V028290 + 1. assign V036867 = V851355 + 1. assign V836311 = V679592. assign V267721 = V714783 + 1. assign V862406 = V232963 - 1. assign V302657 = V193280 - 1. assign V711570 = V586780 + 1. assign V232963 = V121216 + 1. assign V363137 = V086933 + 1. assign V653776 = V962669 - 1. assign V533964 = V411164. assign V460064 = V586941 - 1. assign V670269 = V151144 + 1. assign V116910 = V367754. assign V835939 = V187209 + 1. assign V225920 = V354607. assign V993463 = V305598. assign V184143 = V521235 - 1. assign V331227 = V960822 + 1. assign V257290 = V283238 + 1. assign V466166 = V507483 - 1. assign V698909 = V136810 - 1. assign V351114 = V670269 - 1. assign V111360 = V553322 - 1. assign V916865 = V167787 - 1. assign V664273 = V851355 - 1. assign V780823 = V170004 - 1. assign V328955 = V663417 - 1. assign V658497 = V650990 + 1. assign V071353 = V633536 - 1. assign V976832 = V110788 + 1. assign V776476 = V314888. assign V381398 = V586941 - 1. assign V338173 = V283238 - 1. assign V358150 = V054921. assign V218897 = V146359 + 1. assign V655969 = V147340 - 1. assign V878059 = V851355. assign V452368 = V888918 + 1. assign V966090 = V054921 - 1. assign V415452 = V723229 - 1. assign V663417 = V670269 + 1. assign V114448 = V238328 - 1. assign V168132 = V360072. assign V585777 = V146359 + 1. assign V023203 = V633536 - 1. assign V941376 = V283238. assign V974251 = V360988 - 1. assign V499775 = V146359. assign V522605 = V360472 - 1. assign V789232 = V855341 - 1. assign V599849 = V618302 + 1. assign V602852 = V577871 + 1. assign V921287 = V411164 + 1. assign V557367 = V251234. assign V855341 = V242735. assign V591197 = V358150 + 1. assign V178399 = V363137. assign V697056 = V264317. assign V983424 = V966090 - 1. assign V427432 = V681428. assign V121216 = V470095. assign V754299 = V723229. assign V328687 = V679592. assign V377981 = V146359 - 1. assign V851355 = V510256. assign V714783 = V053956. assign V193280 = V874316. assign V112034 = V674333 + 1. assign V012187 = V338173. assign V052841 = V703241 + 1. assign V586941 = V121216 + 1. assign V817445 = V680858 + 1. assign V837507 = V145931 - 1. assign V910183 = V052841. assign V810482 = V431613 + 1. assign V185302 = V962669 + 1. assign V792562 = V212798 - 1. assign V723284 = V879952 + 1. assign V526175 = V140600. assign V498076 = V053956 + 1. assign V978718 = V308976 - 1. assign V346209 = V358150. assign V899088 = V308976. assign V732908 = V444433 + 1. assign V085332 = V579172. assign V633536 = V429532. assign V970349 = V151144 + 1. assign V874131 = V586780 + 1. assign V618302 = V588983 + 1. assign V729529 = V984463. assign V207584 = V070801. assign V959992 = V703241 - 1. assign V531830 = V775937 - 1. assign V128669 = V207584 + 1. assign V588983 = V647997 - 1. assign V879952 = V740490 + 1. assign V690746 = V121216 - 1. assign V433072 = V755698 - 1. assign V267635 = V431706. assign V649278 = V355125 - 1. assign V740490 = V647936 - 1. assign V919059 = V703241. assign V733336 = V289736 + 1. assign V586780 = V151144 + 1. assign V731404 = V703241 - 1. assign V681428 = V827660 + 1. assign V597633 = V431706 + 1. assign V271217 = V087834 - 1. assign V739612 = V259470 - 1. assign V952888 = V602852 + 1. assign V491567 = V966473 + 1. assign V019994 = V470095 + 1. assign V870100 = V242735 - 1. assign V311592 = V597633 + 1. assign V553322 = V052841 + 1. assign V858400 = V618302 - 1. assign V193309 = V647285. assign V143843 = V161484 - 1. assign V985233 = V377981. assign V220152 = V910183 - 1. assign V092156 = V897518 - 1. assign V755698 = V602852 - 1. assign V503546 = V919059. assign V880015 = V574893 + 1. assign V251234 = V679592 + 1. assign V960822 = V714783 + 1. assign V605514 = V052841 - 1. assign V539398 = V714783 + 1. assign V431613 = V870100. assign V495417 = V455355 - 1. assign V498543 = V637048 - 1. assign V176333 = V870100 + 1. assign V146515 = V929244 + 1. assign V050392 = V960822. assign V470095 = V919059 - 1. assign V455355 = V855341. assign V535896 = V110788 - 1. assign V435186 = V218897. assign V531964 = V267635 + 1. assign V766256 = V870100. assign V288794 = V855341. assign V241401 = V899088 - 1. assign V574399 = V381398 + 1. assign V187209 = V741783 + 1. assign V787565 = V591197. assign V988603 = V143843. assign V647285 = V283238 - 1. assign V346139 = V618302. assign V276733 = V521235 + 1. assign V674333 = V346209 - 1. assign V136810 = V470095 + 1. assign V549874 = V140060. assign V250895 = V503546 + 1. assign V726871 = V491567. assign V980800 = V112034 - 1. assign V028494 = V411164. assign V283358 = V019994 - 1. assign V141392 = V973206 - 1. assign V195451 = V927451. assign V144888 = V726985 - 1. assign V108727 = V647997 + 1. assign V076733 = V360988. assign V438134 = V982429 - 1. assign V355125 = V993463 - 1. assign V233096 = V076733. assign V411164 = V655191 + 1. assign V647936 = V431613. assign V809729 = V549361. assign V973206 = V232963 - 1. assign V313329 = V363137 + 1. assign V587291 = V187209. assign V679592 = V242735. assign V053956 = V358150 - 1. assign V664149 = V360988 + 1. assign V110788 = V586780 - 1. assign V314888 = V416549 - 1. assign V375001 = V698909 - 1. assign V741783 = V714783. assign V454176 = V936271 - 1. assign V070801 = V328687 - 1. assign V545439 = V267635 + 1. assign V266581 = V087834 - 1. assign V769694 = V455355 + 1. assign V161484 = V866957. assign V379766 = V605514. assign V882345 = V128669 + 1. assign V966473 = V052841 + 1. assign V881926 = V987157 + 1. assign V680858 = V271217 - 1. assign V698714 = V577871. assign V708361 = V629434 + 1. assign V301760 = V664273. assign V245960 = V731404 + 1. assign V549361 = V960822 + 1. assign V367126 = V723284 - 1. assign V370208 = V655191. assign V716821 = V921287 + 1. assign V163377 = V911387. assign V574893 = V503546 - 1. assign V888918 = V582374. assign V992527 = V987157. assign V170004 = V290152. assign V431706 = V510256 + 1. assign V633163 = V588983. assign V240235 = V251234 - 1. assign V508002 = V108727 + 1. assign V637048 = V780823. assign V775740 = V220152 - 1. assign V145931 = V862743 - 1. assign V708513 = V019994. assign V897518 = V851355 + 1. assign V502988 = V862406. assign V242735 = V919059 + 1. assign V805953 = V167787 + 1. assign V412992 = V489221. assign V849378 = V136810 + 1. assign V601034 = V411164 - 1. assign V655191 = V110788. assign V842140 = V948147 + 1. assign V757569 = V112034. assign V151144 = V054921 + 1. assign V461939 = V346139 + 1. assign V361878 = V853769. assign V746524 = V127725 + 1. assign V127725 = V121216 + 1. assign V723229 = V019994. assign V290152 = V827660. assign V962669 = V586780 - 1. assign V367754 = V936271. assign V584765 = V276733 + 1. assign V826231 = V503546 - 1. assign V884198 = V346139 + 1. assign V862743 = V271217 - 1. assign V048191 = V128371. assign V560944 = V870100. assign V675342 = V664273 + 1. assign V982429 = V597633 - 1. assign V140060 = V019994 - 1. assign V647997 = V087834. assign V577871 = V948147 + 1. assign V963394 = V565960 - 1. assign V582374 = V019994. assign V498453 = V053956 + 1. assign V587848 = V019994 + 1. assign V051818 = V545439 + 1. assign V726985 = V862743. assign V843250 = V108727 - 1. assign V508359 = V466166. assign V936170 = V242735 + 1. assign V766437 = V466166 - 1. assign V755602 = V019994 - 1. assign V603075 = V111360 - 1. assign V305598 = V346209. assign V477104 = V766256 - 1. assign V936271 = V184143 + 1. assign V948147 = V167787. assign V996563 = V381398 + 1. assign V161397 = V776476 - 1. assign V526405 = V618302 - 1. assign V507483 = V787565 + 1. assign V988561 = V601034 + 1. assign V269346 = V962669. assign V454868 = V987157 + 1. assign V489221 = V680858 - 1. assign V028290 = V919059. assign V661305 = V283238. assign V335491 = V054921 - 1. assign V416549 = V121216. assign V798221 = V549361 + 1. assign V147340 = V036867. assign V892493 = V962669. assign V065672 = V808773 + 1. assign V685493 = V731404. assign V697629 = V849378 - 1. assign V212798 = V597633 - 1. assign V087834 = V597633 - 1. assign V563947 = V992527 + 1. assign V521235 = V866957 + 1. assign V422650 = V360472 - 1. assign V444433 = V521235 - 1. assign V026489 = V354607 - 1. assign V984463 = V787565 + 1. assign V565960 = V698909 + 1. assign V635892 = V982429 - 1. assign V853769 = V521235 + 1. assign V808773 = V836311 + 1. assign V868193 = V108727 + 1. assign V360988 = V521235. assign V237123 = V976832 + 1. assign V140600 = V899088 - 1. assign V462475 = V703439 + 1. assign V650990 = V224389. assign V510256 = V242735 + 1. assign V786148 = V789232. assign V283238 = 1. assign V735184 = V970349 + 1. assign V775937 = V429532. assign V326465 = V355125 + 1. assign V101670 = V240235 - 1. assign V054921 = V510256 - 1. assign V148855 = V962669 - 1. assign V354045 = V112034 + 1. assign V140695 = V108727. assign V703439 = V521235 + 1. assign V308976 = V121216 + 1. assign V146359 = V787565 - 1. assign V289736 = V271217. assign V881192 = V597633 + 1. assign V167787 = V028290 - 1. assign V429532 = V870100 - 1. assign V238300 = V220152. assign V238328 = V670269. assign V128371 = V929244. assign V839511 = V283238 - 1. assign V767329 = V302657. assign V579172 = V510256 - 1. assign V360472 = V574893 - 1. assign V557537 = V618302. assign V911387 = V851355 - 1. assign V731117 = V723229. assign V289423 = V993463 + 1. assign V827660 = V271217 - 1. assign V136593 = V435186 + 1. assign V927451 = V557367. assign V962329 = V729529. assign V100680 = V565960 - 1. assign V692134 = V232963 - 1. assign V354607 = V769694 + 1. assign V838221 = V853769. assign V406818 = V916865 + 1. assign V726844 = V412992 - 1. assign V566309 = V899088. assign V866957 = V510256 + 1. assign V259470 = V167787 + 1. assign V932681 = V431706.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V987157 = V283358 + 1. assign V629434 = V948147 + 1. assign V264317 = V370208. assign V681604 = V161484 - 1. assign V929244 = V531964 + 1. assign V086933 = V855341 + 1. assign V689627 = V361878 - 1. assign V874316 = V110788 + 1. assign V979418 = V121216 + 1. assign V069536 = V899088 - 1. assign V354338 = V136810 + 1. assign V330014 = V655191 + 1. assign V737132 = V789232. assign V695815 = V012187 - 1. assign V360072 = V866957 - 1. assign V224389 = V028290 + 1. assign V036867 = V851355 + 1. assign V836311 = V679592. assign V267721 = V714783 + 1. assign V862406 = V232963 - 1. assign V302657 = V193280 - 1. assign V711570 = V586780 + 1. assign V232963 = V121216 + 1. assign V363137 = V086933 + 1. assign V653776 = V962669 - 1. assign V533964 = V411164. assign V460064 = V586941 - 1. assign V670269 = V151144 + 1. assign V116910 = V367754. assign V835939 = V187209 + 1. assign V225920 = V354607. assign V993463 = V305598. assign V184143 = V521235 - 1. assign V331227 = V960822 + 1. assign V257290 = V283238 + 1. assign V466166 = V507483 - 1. assign V698909 = V136810 - 1. assign V351114 = V670269 - 1. assign V111360 = V553322 - 1. assign V916865 = V167787 - 1. assign V664273 = V851355 - 1. assign V780823 = V170004 - 1. assign V328955 = V663417 - 1. assign V658497 = V650990 + 1. assign V071353 = V633536 - 1. assign V976832 = V110788 + 1. assign V776476 = V314888. assign V381398 = V586941 - 1. assign V338173 = V283238 - 1. assign V358150 = V054921. assign V218897 = V146359 + 1. assign V655969 = V147340 - 1. assign V878059 = V851355. assign V452368 = V888918 + 1. assign V966090 = V054921 - 1. assign V415452 = V723229 - 1. assign V663417 = V670269 + 1. assign V114448 = V238328 - 1. assign V168132 = V360072. assign V585777 = V146359 + 1. assign V023203 = V633536 - 1. assign V941376 = V283238. assign V974251 = V360988 - 1. assign V499775 = V146359. assign V522605 = V360472 - 1. assign V789232 = V855341 - 1. assign V599849 = V618302 + 1. assign V602852 = V577871 + 1. assign V921287 = V411164 + 1. assign V557367 = V251234. assign V855341 = V242735. assign V591197 = V358150 + 1. assign V178399 = V363137. assign V697056 = V264317. assign V983424 = V966090 - 1. assign V427432 = V681428. assign V121216 = V470095. assign V754299 = V723229. assign V328687 = V679592. assign V377981 = V146359 - 1. assign V851355 = V510256. assign V714783 = V053956. assign V193280 = V874316. assign V112034 = V674333 + 1. assign V012187 = V338173. assign V052841 = V703241 + 1. assign V586941 = V121216 + 1. assign V817445 = V680858 + 1. assign V837507 = V145931 - 1. assign V910183 = V052841. assign V810482 = V431613 + 1. assign V185302 = V962669 + 1. assign V792562 = V212798 - 1. assign V723284 = V879952 + 1. assign V526175 = V140600. assign V498076 = V053956 + 1. assign V978718 = V308976 - 1. assign V346209 = V358150. assign V899088 = V308976. assign V732908 = V444433 + 1. assign V085332 = V579172. assign V633536 = V429532. assign V970349 = V151144 + 1. assign V874131 = V586780 + 1. assign V618302 = V588983 + 1. assign V729529 = V984463. assign V207584 = V070801. assign V959992 = V703241 - 1. assign V531830 = V775937 - 1. assign V128669 = V207584 + 1. assign V588983 = V647997 - 1. assign V879952 = V740490 + 1. assign V690746 = V121216 - 1. assign V433072 = V755698 - 1. assign V267635 = V431706. assign V649278 = V355125 - 1. assign V740490 = V647936 - 1. assign V919059 = V703241. assign V733336 = V289736 + 1. assign V586780 = V151144 + 1. assign V731404 = V703241 - 1. assign V681428 = V827660 + 1. assign V597633 = V431706 + 1. assign V271217 = V087834 - 1. assign V739612 = V259470 - 1. assign V952888 = V602852 + 1. assign V491567 = V966473 + 1. assign V019994 = V470095 + 1. assign V870100 = V242735 - 1. assign V311592 = V597633 + 1. assign V553322 = V052841 + 1. assign V858400 = V618302 - 1. assign V193309 = V647285. assign V143843 = V161484 - 1. assign V985233 = V377981. assign V220152 = V910183 - 1. assign V092156 = V897518 - 1. assign V755698 = V602852 - 1. assign V503546 = V919059. assign V880015 = V574893 + 1. assign V251234 = V679592 + 1. assign V960822 = V714783 + 1. assign V605514 = V052841 - 1. assign V539398 = V714783 + 1. assign V431613 = V870100. assign V495417 = V455355 - 1. assign V498543 = V637048 - 1. assign V176333 = V870100 + 1. assign V146515 = V929244 + 1. assign V050392 = V960822. assign V470095 = V919059 - 1. assign V455355 = V855341. assign V535896 = V110788 - 1. assign V435186 = V218897. assign V531964 = V267635 + 1. assign V766256 = V870100. assign V288794 = V855341. assign V241401 = V899088 - 1. assign V574399 = V381398 + 1. assign V187209 = V741783 + 1. assign V787565 = V591197. assign V988603 = V143843. assign V647285 = V283238 - 1. assign V346139 = V618302. assign V276733 = V521235 + 1. assign V674333 = V346209 - 1. assign V136810 = V470095 + 1. assign V549874 = V140060. assign V250895 = V503546 + 1. assign V726871 = V491567. assign V980800 = V112034 - 1. assign V028494 = V411164. assign V283358 = V019994 - 1. assign V141392 = V973206 - 1. assign V195451 = V927451. assign V144888 = V726985 - 1. assign V108727 = V647997 + 1. assign V076733 = V360988. assign V438134 = V982429 - 1. assign V355125 = V993463 - 1. assign V233096 = V076733. assign V411164 = V655191 + 1. assign V647936 = V431613. assign V809729 = V549361. assign V973206 = V232963 - 1. assign V313329 = V363137 + 1. assign V587291 = V187209. assign V679592 = V242735. assign V053956 = V358150 - 1. assign V664149 = V360988 + 1. assign V110788 = V586780 - 1. assign V314888 = V416549 - 1. assign V375001 = V698909 - 1. assign V741783 = V714783. assign V454176 = V936271 - 1. assign V070801 = V328687 - 1. assign V545439 = V267635 + 1. assign V266581 = V087834 - 1. assign V769694 = V455355 + 1. assign V161484 = V866957. assign V379766 = V605514. assign V882345 = V128669 + 1. assign V966473 = V052841 + 1. assign V881926 = V987157 + 1. assign V680858 = V271217 - 1. assign V698714 = V577871. assign V708361 = V629434 + 1. assign V301760 = V664273. assign V245960 = V731404 + 1. assign V549361 = V960822 + 1. assign V367126 = V723284 - 1. assign V370208 = V655191. assign V716821 = V921287 + 1. assign V163377 = V911387. assign V574893 = V503546 - 1. assign V888918 = V582374. assign V992527 = V987157. assign V170004 = V290152. assign V431706 = V510256 + 1. assign V633163 = V588983. assign V240235 = V251234 - 1. assign V508002 = V108727 + 1. assign V637048 = V780823. assign V775740 = V220152 - 1. assign V145931 = V862743 - 1. assign V708513 = V019994. assign V897518 = V851355 + 1. assign V502988 = V862406. assign V242735 = V919059 + 1. assign V805953 = V167787 + 1. assign V412992 = V489221. assign V849378 = V136810 + 1. assign V601034 = V411164 - 1. assign V655191 = V110788. assign V842140 = V948147 + 1. assign V757569 = V112034. assign V151144 = V054921 + 1. assign V461939 = V346139 + 1. assign V361878 = V853769. assign V746524 = V127725 + 1. assign V127725 = V121216 + 1. assign V723229 = V019994. assign V290152 = V827660. assign V962669 = V586780 - 1. assign V367754 = V936271. assign V584765 = V276733 + 1. assign V826231 = V503546 - 1. assign V884198 = V346139 + 1. assign V862743 = V271217 - 1. assign V048191 = V128371. assign V560944 = V870100. assign V675342 = V664273 + 1. assign V982429 = V597633 - 1. assign V140060 = V019994 - 1. assign V647997 = V087834. assign V577871 = V948147 + 1. assign V963394 = V565960 - 1. assign V582374 = V019994. assign V498453 = V053956 + 1. assign V587848 = V019994 + 1. assign V051818 = V545439 + 1. assign V726985 = V862743. assign V843250 = V108727 - 1. assign V508359 = V466166. assign V936170 = V242735 + 1. assign V766437 = V466166 - 1. assign V755602 = V019994 - 1. assign V603075 = V111360 - 1. assign V305598 = V346209. assign V477104 = V766256 - 1. assign V936271 = V184143 + 1. assign V948147 = V167787. assign V996563 = V381398 + 1. assign V161397 = V776476 - 1. assign V526405 = V618302 - 1. assign V507483 = V787565 + 1. assign V988561 = V601034 + 1. assign V269346 = V962669. assign V454868 = V987157 + 1. assign V489221 = V680858 - 1. assign V028290 = V919059. assign V661305 = V283238. assign V335491 = V054921 - 1. assign V416549 = V121216. assign V798221 = V549361 + 1. assign V147340 = V036867. assign V892493 = V962669. assign V065672 = V808773 + 1. assign V685493 = V731404. assign V697629 = V849378 - 1. assign V212798 = V597633 - 1. assign V087834 = V597633 - 1. assign V563947 = V992527 + 1. assign V521235 = V866957 + 1. assign V422650 = V360472 - 1. assign V444433 = V521235 - 1. assign V026489 = V354607 - 1. assign V984463 = V787565 + 1. assign V565960 = V698909 + 1. assign V635892 = V982429 - 1. assign V853769 = V521235 + 1. assign V808773 = V836311 + 1. assign V868193 = V108727 + 1. assign V360988 = V521235. assign V237123 = V976832 + 1. assign V140600 = V899088 - 1. assign V462475 = V703439 + 1. assign V650990 = V224389. assign V510256 = V242735 + 1. assign V786148 = V789232. assign V283238 = 1. assign V735184 = V970349 + 1. assign V775937 = V429532. assign V326465 = V355125 + 1. assign V101670 = V240235 - 1. assign V054921 = V510256 - 1. assign V148855 = V962669 - 1. assign V354045 = V112034 + 1. assign V140695 = V108727. assign V703439 = V521235 + 1. assign V308976 = V121216 + 1. assign V146359 = V787565 - 1. assign V289736 = V271217. assign V881192 = V597633 + 1. assign V167787 = V028290 - 1. assign V429532 = V870100 - 1. assign V238300 = V220152. assign V238328 = V670269. assign V128371 = V929244. assign V839511 = V283238 - 1. assign V767329 = V302657. assign V579172 = V510256 - 1. assign V360472 = V574893 - 1. assign V557537 = V618302. assign V911387 = V851355 - 1. assign V731117 = V723229. assign V289423 = V993463 + 1. assign V827660 = V271217 - 1. assign V136593 = V435186 + 1. assign V927451 = V557367. assign V962329 = V729529. assign V100680 = V565960 - 1. assign V692134 = V232963 - 1. assign V354607 = V769694 + 1. assign V838221 = V853769. assign V406818 = V916865 + 1. assign V726844 = V412992 - 1. assign V566309 = V899088. assign V866957 = V510256 + 1. assign V259470 = V167787 + 1. assign V932681 = V431706.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV283238 = 1;\n\nFrom these direct assignment(s), we have: \nV839511 = V283238 - 1 = 1 - 1 =0;\nNo other varaibles can be derived from V839511;\nV661305 = V283238 = 1;\nNo other varaibles can be derived from V661305;\nV647285 = V283238 - 1 = 1 - 1 =0;\nV193309 = V647285 = 0;\nNo other varaibles can be derived from V193309;\nNo other varaibles can be derived from V647285;\nV941376 = V283238 = 1;\nNo other varaibles can be derived from V941376;\nV338173 = V283238 - 1 = 1 - 1 =0;\nV012187 = V338173 = 0;\nV695815 = V012187 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V695815;\nNo other varaibles can be derived from V012187;\nNo other varaibles can be derived from V338173;\nV257290 = V283238 + 1 = 1 + 1 =2;\nNo other varaibles can be derived from V257290;\nNo other varaibles can be derived from V283238;\n\nNow we have done all the calculations. Derived variables are:\nV283238 = 1;\nV839511 = 0;\nV661305 = 1;\nV647285 = 0;\nV193309 = 0;\nV941376 = 1;\nV338173 = 0;\nV012187 = 0;\nV695815 = -1;\nV257290 = 2;\n\nNow we have finished this problem. ANSWER:\nV839511, V647285, V193309, V338173, V012187\n", "role": "assistant" } ]

[ "V470670", "V688570", "V193913", "V575195", "V169442" ]

[ { "content": "<context>\nassign V732241 = V851703 - 1. assign V659291 = V248331. assign V465293 = V201430 - 1. assign V785172 = V796375 - 1. assign V692035 = V320890 + 1. assign V388072 = V389783 + 1. assign V327761 = V822309 + 1. assign V533295 = V315527. assign V894180 = V502173 - 1. assign V904027 = V808707 - 1. assign V533536 = V465557 + 1. assign V101692 = V362786 + 1. assign V147107 = V931040 + 1. assign V158514 = V502173 + 1. assign V528880 = V248331. assign V066826 = V201430 + 1. assign V758538 = V283084 - 1. assign V938284 = V483666 - 1. assign V494653 = V880925 - 1. assign V421631 = V500532 + 1. assign V905394 = V295170. assign V566967 = V027598 - 1. assign V383545 = V326575 - 1. assign V817821 = V162932 + 1. assign V530326 = V475499. assign V666160 = V310564 - 1. assign V987589 = V870462. assign V507204 = V816784 + 1. assign V084855 = V558545 - 1. assign V616198 = V310104 - 1. assign V295170 = V575464 - 1. assign V187841 = V558545. assign V290216 = V283084 + 1. assign V540442 = V606382 + 1. assign V918377 = V286948 - 1. assign V079597 = V960988. assign V437948 = V283084 - 1. assign V865021 = V187841 - 1. assign V528912 = V091183 + 1. assign V659956 = V362786 + 1. assign V847067 = V436090 - 1. assign V286948 = V248331 + 1. assign V808707 = V187841 + 1. assign V048766 = V119442 - 1. assign V200180 = V386671. assign V929924 = V283084 + 1. assign V324008 = V327276. assign V266202 = V432126. assign V114995 = V543114. assign V863539 = V320890 - 1. assign V959849 = V173950 - 1. assign V418448 = V808707. assign V958172 = V924700 + 1. assign V299408 = V203270. assign V842579 = V373228. assign V502173 = V282582. assign V931040 = V816784 + 1. assign V964594 = V328950. assign V895523 = V793859. assign V870462 = V033160 - 1. assign V874852 = V691301. assign V160693 = V475499 - 1. assign V905711 = V844991. assign V282582 = V084855 - 1. assign V810969 = V138899 - 1. assign V856187 = V248331. assign V719510 = V187379 - 1. assign V954196 = V659956 + 1. assign V196595 = V606382. assign V512025 = V958172 + 1. assign V027598 = V530530. assign V738372 = V437948 + 1. assign V327276 = V711258 - 1. assign V451668 = V950754 + 1. assign V320890 = V818425 + 1. assign V678894 = V160693 - 1. assign V831725 = V079597 + 1. assign V606382 = V582345. assign V974231 = V202471 + 1. assign V138899 = V931040 - 1. assign V483666 = V145222. assign V134819 = V576546. assign V496814 = V620894. assign V562277 = V485113 + 1. assign V310104 = V530530 - 1. assign V347283 = V121171. assign V839641 = V594747 - 1. assign V257057 = V931040 - 1. assign V699349 = V558545 + 1. assign V410015 = V769591 + 1. assign V473464 = V145222. assign V864136 = V758538 - 1. assign V033160 = V922502. assign V594747 = V283084. assign V586678 = V856187. assign V066213 = V533536 - 1. assign V413886 = V558545. assign V695430 = V389966 + 1. assign V540237 = V960988 + 1. assign V970927 = V779995 - 1. assign V960988 = V600730 - 1. assign V594712 = V500532. assign V836609 = V173950 - 1. assign V201430 = V851703. assign V691301 = V582345 - 1. assign V540021 = V893714 + 1. assign V283084 = V187841 - 1. assign V206711 = V272275 + 1. assign V791550 = V964594 - 1. assign V036535 = V904059 - 1. assign V848225 = V216846 + 1. assign V092924 = V145222 - 1. assign V246781 = V678894 - 1. assign V844991 = V111220. assign V412512 = V036535. assign V187379 = V145222 + 1. assign V928521 = V576546 + 1. assign V675496 = V678894 - 1. assign V650722 = V362786. assign V893714 = V388072 + 1. assign V851703 = V283084 - 1. assign V031003 = V530613 + 1. assign V265839 = V575464 - 1. assign V980893 = V315527. assign V322021 = V530613. assign V806777 = V187841 - 1. assign V109269 = V608522. assign V305238 = V650722 + 1. assign V105908 = V114995 + 1. assign V317173 = V173950 - 1. assign V627838 = V738833 + 1. assign V194984 = V084855. assign V450951 = V474816 + 1. assign V796375 = V294940 - 1. assign V500532 = V101692. assign V573681 = V530613 - 1. assign V536898 = V206711 + 1. assign V169442 = V193913. assign V130538 = V362611 - 1. assign V007897 = V326575. assign V436090 = V024417 - 1. assign V203270 = V286948 - 1. assign V909250 = V844991 - 1. assign V294940 = V193913 - 1. assign V315527 = V227813 + 1. assign V442676 = V033160 - 1. assign V946450 = V389783 - 1. assign V470670 = 9. assign V703317 = V699533. assign V413334 = V474816 + 1. assign V034275 = V007897 + 1. assign V130956 = V856187 - 1. assign V630567 = V007897 - 1. assign V389783 = V856187. assign V202471 = V066213 + 1. assign V219418 = V173950 + 1. assign V555104 = V949774. assign V432126 = V608522. assign V530530 = V856187 + 1. assign V248331 = V227813. assign V734262 = V507783. assign V310564 = V507783. assign V415900 = V904059. assign V563191 = V033160 - 1. assign V949774 = V918377 + 1. assign V990500 = V526463 + 1. assign V104632 = V904027. assign V324432 = V082988. assign V618184 = V315527 - 1. assign V784440 = V558545 - 1. assign V389966 = V865021 - 1. assign V307926 = V173950. assign V672319 = V275091 - 1. assign V459065 = V432126 + 1. assign V600730 = V413886 - 1. assign V475499 = V865021 - 1. assign V028086 = V793859. assign V507783 = V728685. assign V694901 = V810969 - 1. assign V273941 = V196595. assign V718805 = V508067. assign V745639 = V470670 + 1. assign V847662 = V905711. assign V221465 = V699349 + 1. assign V465557 = V130538 - 1. assign V798065 = V558545 + 1. assign V495833 = V847067 + 1. assign V326575 = V130538 + 1. assign V878970 = V451668 + 1. assign V515099 = V728685 - 1. assign V227813 = V413886 + 1. assign V426923 = V338827. assign V034911 = V555104. assign V779995 = V533536 - 1. assign V707602 = V227813 - 1. assign V241501 = V848225 + 1. assign V112948 = V418448 + 1. assign V793859 = V388046. assign V010290 = V066213. assign V086859 = V436090 - 1. assign V929415 = V677177. assign V594633 = V145222 + 1. assign V939261 = V958172 + 1. assign V769591 = V582345 - 1. assign V706170 = V895523 - 1. assign V291463 = V099454 + 1. assign V352025 = V822309 + 1. assign V404254 = V684673 + 1. assign V145222 = V475499. assign V235294 = V146641 + 1. assign V567117 = V543114 + 1. assign V375708 = V507783. assign V784068 = V315527. assign V614498 = V360439. assign V024417 = V659291 + 1. assign V728522 = V970927 - 1. assign V880925 = V979732 - 1. assign V388046 = V719510 + 1. assign V235003 = V436090 - 1. assign V193913 = V688570. assign V809372 = V582924 - 1. assign V121929 = V352025 + 1. assign V556918 = V734262. assign V064159 = V922502. assign V671203 = V865021 + 1. assign V031280 = V203270 + 1. assign V738833 = V950878. assign V684673 = V200180 - 1. assign V301778 = V187841 + 1. assign V449602 = V694621 - 1. assign V162932 = V526463. assign V282049 = V672319. assign V746188 = V586678 + 1. assign V427303 = V475499 - 1. assign V693611 = V876980. assign V485113 = V718805. assign V099454 = V582924. assign V410603 = V282049 - 1. assign V474816 = V659291 - 1. assign V608522 = V816784 - 1. assign V304602 = V822309. assign V950754 = V187841. assign V072327 = V173950 + 1. assign V360439 = V427303 + 1. assign V412974 = V470670 - 1. assign V225591 = V246781 - 1. assign V922138 = V375708 + 1. assign V083800 = V847067. assign V729815 = V738833 + 1. assign V798394 = V031280. assign V575464 = V130956 + 1. assign V173950 = V816784 + 1. assign V490606 = V410411 - 1. assign V239701 = V936551 - 1. assign V716062 = V036535 - 1. assign V166748 = V816263 - 1. assign V119442 = V475499 - 1. assign V233682 = V320890 - 1. assign V040973 = V246781 + 1. assign V543114 = V388072. assign V823749 = V225591 + 1. assign V146641 = V465557. assign V057308 = V404254 + 1. assign V110227 = V600730 - 1. assign V932359 = V024417 + 1. assign V111220 = V173950 + 1. assign V082988 = V678894 - 1. assign V091183 = V291463 - 1. assign V690918 = V809372 - 1. assign V533234 = V611509 + 1. assign V275091 = V600730 + 1. assign V526463 = V918377. assign V582345 = V248331 + 1. assign V860420 = V495833. assign V582924 = V315527. assign V530613 = V998085 - 1. assign V121171 = V758538 + 1. assign V949181 = V699533. assign V362611 = V286948. assign V510617 = V865021 + 1. assign V555319 = V540237 + 1. assign V373164 = V227813. assign V963921 = V695430. assign V508835 = V584334 - 1. assign V815265 = V793859 - 1. assign V203514 = V418448 - 1. assign V349925 = V162932 - 1. assign V380797 = V291463 + 1. assign V269495 = V201430 - 1. assign V735177 = V784440 - 1. assign V331316 = V072327 + 1. assign V584334 = V320890 - 1. assign V296077 = V111220 + 1. assign V694210 = V295170 + 1. assign V210091 = V586678. assign V152668 = V894180. assign V373228 = V265839 + 1. assign V822309 = V275091 - 1. assign V216846 = V719510 + 1. assign V950878 = V265839 - 1. assign V298809 = V373228 + 1. assign V116200 = V436090 + 1. assign V739895 = V575464 + 1. assign V747539 = V291463 - 1. assign V979732 = V362786 - 1. assign V006387 = V932359 + 1. assign V102788 = V134819 - 1. assign V114875 = V932359. assign V328950 = V388046 - 1. assign V728685 = V413886 + 1. assign V694621 = V677177. assign V998085 = V304602. assign V576546 = V265839 + 1. assign V386671 = V248331 + 1. assign V410411 = V950754 + 1. assign V493507 = V187841 + 1. assign V318584 = V739895 + 1. assign V061369 = V808707 + 1. assign V079643 = V611509 - 1. assign V876980 = V844991 - 1. assign V904059 = V265839. assign V755839 = V160693 - 1. assign V936551 = V227813 - 1. assign V648537 = V210091. assign V667320 = V699533. assign V518001 = V958172 + 1. assign V362786 = V728685 - 1. assign V479834 = V950878 - 1. assign V818425 = V784440 + 1. assign V711258 = V818425 + 1. assign V816784 = V315527. assign V342190 = V389966 - 1. assign V611509 = V847067 - 1. assign V990996 = V413886 - 1. assign V576105 = V119442 - 1. assign V272275 = V582924 + 1. assign V677177 = V582345 - 1. assign V922502 = V286948 - 1. assign V418095 = V307926. assign V085864 = V684673 + 1. assign V620894 = V575464 + 1. assign V575195 = V688570. assign V338827 = V483666 + 1. assign V699533 = V600730 + 1. assign V216503 = V166748. assign V924700 = V295170. assign V508067 = V865021 + 1. assign V204595 = V738833 - 1. assign V688570 = V470670. assign V816263 = V283084 - 1. assign V581524 = V822309.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V732241 = V851703 - 1. assign V659291 = V248331. assign V465293 = V201430 - 1. assign V785172 = V796375 - 1. assign V692035 = V320890 + 1. assign V388072 = V389783 + 1. assign V327761 = V822309 + 1. assign V533295 = V315527. assign V894180 = V502173 - 1. assign V904027 = V808707 - 1. assign V533536 = V465557 + 1. assign V101692 = V362786 + 1. assign V147107 = V931040 + 1. assign V158514 = V502173 + 1. assign V528880 = V248331. assign V066826 = V201430 + 1. assign V758538 = V283084 - 1. assign V938284 = V483666 - 1. assign V494653 = V880925 - 1. assign V421631 = V500532 + 1. assign V905394 = V295170. assign V566967 = V027598 - 1. assign V383545 = V326575 - 1. assign V817821 = V162932 + 1. assign V530326 = V475499. assign V666160 = V310564 - 1. assign V987589 = V870462. assign V507204 = V816784 + 1. assign V084855 = V558545 - 1. assign V616198 = V310104 - 1. assign V295170 = V575464 - 1. assign V187841 = V558545. assign V290216 = V283084 + 1. assign V540442 = V606382 + 1. assign V918377 = V286948 - 1. assign V079597 = V960988. assign V437948 = V283084 - 1. assign V865021 = V187841 - 1. assign V528912 = V091183 + 1. assign V659956 = V362786 + 1. assign V847067 = V436090 - 1. assign V286948 = V248331 + 1. assign V808707 = V187841 + 1. assign V048766 = V119442 - 1. assign V200180 = V386671. assign V929924 = V283084 + 1. assign V324008 = V327276. assign V266202 = V432126. assign V114995 = V543114. assign V863539 = V320890 - 1. assign V959849 = V173950 - 1. assign V418448 = V808707. assign V958172 = V924700 + 1. assign V299408 = V203270. assign V842579 = V373228. assign V502173 = V282582. assign V931040 = V816784 + 1. assign V964594 = V328950. assign V895523 = V793859. assign V870462 = V033160 - 1. assign V874852 = V691301. assign V160693 = V475499 - 1. assign V905711 = V844991. assign V282582 = V084855 - 1. assign V810969 = V138899 - 1. assign V856187 = V248331. assign V719510 = V187379 - 1. assign V954196 = V659956 + 1. assign V196595 = V606382. assign V512025 = V958172 + 1. assign V027598 = V530530. assign V738372 = V437948 + 1. assign V327276 = V711258 - 1. assign V451668 = V950754 + 1. assign V320890 = V818425 + 1. assign V678894 = V160693 - 1. assign V831725 = V079597 + 1. assign V606382 = V582345. assign V974231 = V202471 + 1. assign V138899 = V931040 - 1. assign V483666 = V145222. assign V134819 = V576546. assign V496814 = V620894. assign V562277 = V485113 + 1. assign V310104 = V530530 - 1. assign V347283 = V121171. assign V839641 = V594747 - 1. assign V257057 = V931040 - 1. assign V699349 = V558545 + 1. assign V410015 = V769591 + 1. assign V473464 = V145222. assign V864136 = V758538 - 1. assign V033160 = V922502. assign V594747 = V283084. assign V586678 = V856187. assign V066213 = V533536 - 1. assign V413886 = V558545. assign V695430 = V389966 + 1. assign V540237 = V960988 + 1. assign V970927 = V779995 - 1. assign V960988 = V600730 - 1. assign V594712 = V500532. assign V836609 = V173950 - 1. assign V201430 = V851703. assign V691301 = V582345 - 1. assign V540021 = V893714 + 1. assign V283084 = V187841 - 1. assign V206711 = V272275 + 1. assign V791550 = V964594 - 1. assign V036535 = V904059 - 1. assign V848225 = V216846 + 1. assign V092924 = V145222 - 1. assign V246781 = V678894 - 1. assign V844991 = V111220. assign V412512 = V036535. assign V187379 = V145222 + 1. assign V928521 = V576546 + 1. assign V675496 = V678894 - 1. assign V650722 = V362786. assign V893714 = V388072 + 1. assign V851703 = V283084 - 1. assign V031003 = V530613 + 1. assign V265839 = V575464 - 1. assign V980893 = V315527. assign V322021 = V530613. assign V806777 = V187841 - 1. assign V109269 = V608522. assign V305238 = V650722 + 1. assign V105908 = V114995 + 1. assign V317173 = V173950 - 1. assign V627838 = V738833 + 1. assign V194984 = V084855. assign V450951 = V474816 + 1. assign V796375 = V294940 - 1. assign V500532 = V101692. assign V573681 = V530613 - 1. assign V536898 = V206711 + 1. assign V169442 = V193913. assign V130538 = V362611 - 1. assign V007897 = V326575. assign V436090 = V024417 - 1. assign V203270 = V286948 - 1. assign V909250 = V844991 - 1. assign V294940 = V193913 - 1. assign V315527 = V227813 + 1. assign V442676 = V033160 - 1. assign V946450 = V389783 - 1. assign V470670 = 9. assign V703317 = V699533. assign V413334 = V474816 + 1. assign V034275 = V007897 + 1. assign V130956 = V856187 - 1. assign V630567 = V007897 - 1. assign V389783 = V856187. assign V202471 = V066213 + 1. assign V219418 = V173950 + 1. assign V555104 = V949774. assign V432126 = V608522. assign V530530 = V856187 + 1. assign V248331 = V227813. assign V734262 = V507783. assign V310564 = V507783. assign V415900 = V904059. assign V563191 = V033160 - 1. assign V949774 = V918377 + 1. assign V990500 = V526463 + 1. assign V104632 = V904027. assign V324432 = V082988. assign V618184 = V315527 - 1. assign V784440 = V558545 - 1. assign V389966 = V865021 - 1. assign V307926 = V173950. assign V672319 = V275091 - 1. assign V459065 = V432126 + 1. assign V600730 = V413886 - 1. assign V475499 = V865021 - 1. assign V028086 = V793859. assign V507783 = V728685. assign V694901 = V810969 - 1. assign V273941 = V196595. assign V718805 = V508067. assign V745639 = V470670 + 1. assign V847662 = V905711. assign V221465 = V699349 + 1. assign V465557 = V130538 - 1. assign V798065 = V558545 + 1. assign V495833 = V847067 + 1. assign V326575 = V130538 + 1. assign V878970 = V451668 + 1. assign V515099 = V728685 - 1. assign V227813 = V413886 + 1. assign V426923 = V338827. assign V034911 = V555104. assign V779995 = V533536 - 1. assign V707602 = V227813 - 1. assign V241501 = V848225 + 1. assign V112948 = V418448 + 1. assign V793859 = V388046. assign V010290 = V066213. assign V086859 = V436090 - 1. assign V929415 = V677177. assign V594633 = V145222 + 1. assign V939261 = V958172 + 1. assign V769591 = V582345 - 1. assign V706170 = V895523 - 1. assign V291463 = V099454 + 1. assign V352025 = V822309 + 1. assign V404254 = V684673 + 1. assign V145222 = V475499. assign V235294 = V146641 + 1. assign V567117 = V543114 + 1. assign V375708 = V507783. assign V784068 = V315527. assign V614498 = V360439. assign V024417 = V659291 + 1. assign V728522 = V970927 - 1. assign V880925 = V979732 - 1. assign V388046 = V719510 + 1. assign V235003 = V436090 - 1. assign V193913 = V688570. assign V809372 = V582924 - 1. assign V121929 = V352025 + 1. assign V556918 = V734262. assign V064159 = V922502. assign V671203 = V865021 + 1. assign V031280 = V203270 + 1. assign V738833 = V950878. assign V684673 = V200180 - 1. assign V301778 = V187841 + 1. assign V449602 = V694621 - 1. assign V162932 = V526463. assign V282049 = V672319. assign V746188 = V586678 + 1. assign V427303 = V475499 - 1. assign V693611 = V876980. assign V485113 = V718805. assign V099454 = V582924. assign V410603 = V282049 - 1. assign V474816 = V659291 - 1. assign V608522 = V816784 - 1. assign V304602 = V822309. assign V950754 = V187841. assign V072327 = V173950 + 1. assign V360439 = V427303 + 1. assign V412974 = V470670 - 1. assign V225591 = V246781 - 1. assign V922138 = V375708 + 1. assign V083800 = V847067. assign V729815 = V738833 + 1. assign V798394 = V031280. assign V575464 = V130956 + 1. assign V173950 = V816784 + 1. assign V490606 = V410411 - 1. assign V239701 = V936551 - 1. assign V716062 = V036535 - 1. assign V166748 = V816263 - 1. assign V119442 = V475499 - 1. assign V233682 = V320890 - 1. assign V040973 = V246781 + 1. assign V543114 = V388072. assign V823749 = V225591 + 1. assign V146641 = V465557. assign V057308 = V404254 + 1. assign V110227 = V600730 - 1. assign V932359 = V024417 + 1. assign V111220 = V173950 + 1. assign V082988 = V678894 - 1. assign V091183 = V291463 - 1. assign V690918 = V809372 - 1. assign V533234 = V611509 + 1. assign V275091 = V600730 + 1. assign V526463 = V918377. assign V582345 = V248331 + 1. assign V860420 = V495833. assign V582924 = V315527. assign V530613 = V998085 - 1. assign V121171 = V758538 + 1. assign V949181 = V699533. assign V362611 = V286948. assign V510617 = V865021 + 1. assign V555319 = V540237 + 1. assign V373164 = V227813. assign V963921 = V695430. assign V508835 = V584334 - 1. assign V815265 = V793859 - 1. assign V203514 = V418448 - 1. assign V349925 = V162932 - 1. assign V380797 = V291463 + 1. assign V269495 = V201430 - 1. assign V735177 = V784440 - 1. assign V331316 = V072327 + 1. assign V584334 = V320890 - 1. assign V296077 = V111220 + 1. assign V694210 = V295170 + 1. assign V210091 = V586678. assign V152668 = V894180. assign V373228 = V265839 + 1. assign V822309 = V275091 - 1. assign V216846 = V719510 + 1. assign V950878 = V265839 - 1. assign V298809 = V373228 + 1. assign V116200 = V436090 + 1. assign V739895 = V575464 + 1. assign V747539 = V291463 - 1. assign V979732 = V362786 - 1. assign V006387 = V932359 + 1. assign V102788 = V134819 - 1. assign V114875 = V932359. assign V328950 = V388046 - 1. assign V728685 = V413886 + 1. assign V694621 = V677177. assign V998085 = V304602. assign V576546 = V265839 + 1. assign V386671 = V248331 + 1. assign V410411 = V950754 + 1. assign V493507 = V187841 + 1. assign V318584 = V739895 + 1. assign V061369 = V808707 + 1. assign V079643 = V611509 - 1. assign V876980 = V844991 - 1. assign V904059 = V265839. assign V755839 = V160693 - 1. assign V936551 = V227813 - 1. assign V648537 = V210091. assign V667320 = V699533. assign V518001 = V958172 + 1. assign V362786 = V728685 - 1. assign V479834 = V950878 - 1. assign V818425 = V784440 + 1. assign V711258 = V818425 + 1. assign V816784 = V315527. assign V342190 = V389966 - 1. assign V611509 = V847067 - 1. assign V990996 = V413886 - 1. assign V576105 = V119442 - 1. assign V272275 = V582924 + 1. assign V677177 = V582345 - 1. assign V922502 = V286948 - 1. assign V418095 = V307926. assign V085864 = V684673 + 1. assign V620894 = V575464 + 1. assign V575195 = V688570. assign V338827 = V483666 + 1. assign V699533 = V600730 + 1. assign V216503 = V166748. assign V924700 = V295170. assign V508067 = V865021 + 1. assign V204595 = V738833 - 1. assign V688570 = V470670. assign V816263 = V283084 - 1. assign V581524 = V822309.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV470670 = 9;\n\nFrom these direct assignment(s), we have: \nV688570 = V470670 = 9;\nV575195 = V688570 = 9;\nNo other varaibles can be derived from V575195;\nV193913 = V688570 = 9;\nV294940 = V193913 - 1 = 9 - 1 =8;\nV796375 = V294940 - 1 = 8 - 1 =7;\nV785172 = V796375 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V785172;\nNo other varaibles can be derived from V796375;\nNo other varaibles can be derived from V294940;\nV169442 = V193913 = 9;\nNo other varaibles can be derived from V169442;\nNo other varaibles can be derived from V193913;\nNo other varaibles can be derived from V688570;\nV412974 = V470670 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V412974;\nV745639 = V470670 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V745639;\nNo other varaibles can be derived from V470670;\n\nNow we have done all the calculations. Derived variables are:\nV470670 = 9;\nV688570 = 9;\nV575195 = 9;\nV193913 = 9;\nV294940 = 8;\nV796375 = 7;\nV785172 = 6;\nV169442 = 9;\nV412974 = 8;\nV745639 = 10;\n\nNow we have finished this problem. ANSWER:\nV470670, V688570, V575195, V193913, V169442\n", "role": "assistant" } ]

[ "V788838", "V175057", "V705302" ]

[ { "content": "<context>\nassign V143014 = V570935 - 1. assign V423532 = V129947. assign V748519 = V917580. assign V226958 = V719148 + 1. assign V411816 = V147382 - 1. assign V137322 = V918205 + 1. assign V699549 = V030614 - 1. assign V479001 = V148674 - 1. assign V523313 = V169288 + 1. assign V075352 = V661118. assign V263439 = V256268 - 1. assign V505699 = V424181 + 1. assign V876675 = V849055 + 1. assign V269227 = V423532. assign V109827 = V179900. assign V847868 = V185870 - 1. assign V752731 = V129947 + 1. assign V383099 = V256268 - 1. assign V718437 = V423532 + 1. assign V570935 = V600451. assign V527015 = V287696 - 1. assign V455472 = V723505 + 1. assign V713475 = V788838 + 1. assign V083405 = V970192 + 1. assign V579788 = V643320. assign V456959 = V349593 - 1. assign V180915 = V687292 + 1. assign V910724 = V799157. assign V059285 = V795773. assign V623902 = V233660 - 1. assign V999710 = V167585 + 1. assign V727400 = V892002 + 1. assign V882815 = V849055 - 1. assign V925997 = V719148 + 1. assign V873000 = V288410. assign V230451 = V661918 + 1. assign V268706 = V704994 + 1. assign V628672 = V067599 - 1. assign V423886 = V970192. assign V525096 = V332755. assign V349593 = V506367 + 1. assign V212285 = V185339. assign V366313 = V087572 - 1. assign V828177 = V298097. assign V840743 = V687292 + 1. assign V414828 = V727400 + 1. assign V211802 = V131530 - 1. assign V632513 = V949866 - 1. assign V100431 = V886714 - 1. assign V236929 = V912250 + 1. assign V428349 = V576867. assign V838116 = V828177 - 1. assign V268311 = V280506 + 1. assign V233660 = V268311. assign V661118 = V620224. assign V849055 = V864254 + 1. assign V914149 = V333620. assign V063161 = V349593 + 1. assign V005324 = V650204 - 1. assign V621058 = V799157 - 1. assign V479546 = V080426. assign V919451 = V189011 + 1. assign V185339 = V732894 + 1. assign V700558 = V176314. assign V443361 = V864254 + 1. assign V732894 = V333620 - 1. assign V169288 = V298097. assign V510807 = V148674 - 1. assign V201037 = V865504. assign V616587 = V752731 - 1. assign V221989 = V181786 - 1. assign V848973 = V199143. assign V905626 = V748519 - 1. assign V159753 = V456651 - 1. assign V064578 = V704994 - 1. assign V289780 = V137322 - 1. assign V833165 = V780356 - 1. assign V207049 = V424181 - 1. assign V424691 = V169288 + 1. assign V968741 = V919413 - 1. assign V777216 = V423532 + 1. assign V087572 = V661118 - 1. assign V803503 = V799157 + 1. assign V376376 = V356352 - 1. assign V345062 = V423532 + 1. assign V229908 = V101415 + 1. assign V090484 = V706220 + 1. assign V288410 = V199143 + 1. assign V511596 = V129947. assign V799157 = V704994. assign V389141 = V650204 + 1. assign V499378 = V201037 - 1. assign V424181 = V423532 + 1. assign V067599 = V718292 + 1. assign V578622 = V510807 - 1. assign V280506 = V423532. assign V155381 = V718292. assign V390469 = V876174 - 1. assign V264689 = V704994 - 1. assign V601019 = V428886. assign V490706 = V864254 - 1. assign V329410 = V424691. assign V101415 = V347388 + 1. assign V154789 = V748519 + 1. assign V899658 = V949399 + 1. assign V340521 = V298097 - 1. assign V123912 = V455472. assign V733633 = V001587 - 1. assign V459044 = V683482 - 1. assign V718292 = V791893 - 1. assign V030850 = V576867 + 1. assign V719148 = V280506 + 1. assign V656893 = V169005 + 1. assign V162502 = V353012 - 1. assign V148674 = V298097. assign V683482 = V233660 - 1. assign V521233 = V919413 + 1. assign V949399 = V810796 - 1. assign V129947 = V892002. assign V994434 = V087572 - 1. assign V955702 = V467581. assign V550356 = V560260 + 1. assign V612680 = V189011. assign V133583 = V090484. assign V029188 = V080426 + 1. assign V718988 = V230451 - 1. assign V598086 = V661918. assign V801948 = V129947 - 1. assign V439085 = V329410 - 1. assign V385277 = V189011. assign V635530 = V946472. assign V555432 = V199143. assign V879230 = V226944. assign V859563 = V576716 + 1. assign V822809 = V790404 + 1. assign V778842 = V087572 + 1. assign V566352 = V479001 + 1. assign V287696 = V777216 - 1. assign V001587 = V156232 - 1. assign V970192 = V892002. assign V930596 = V680522. assign V921535 = V650204. assign V026630 = V479001 - 1. assign V167585 = V207049 + 1. assign V445762 = V849821 - 1. assign V317133 = V236929 - 1. assign V030614 = V156232 - 1. assign V607727 = V780356 + 1. assign V660905 = V269227 + 1. assign V918205 = V886714 + 1. assign V042121 = V029188 - 1. assign V165229 = V849821 + 1. assign V110274 = V914149. assign V557166 = V083405 + 1. assign V620224 = V424181 - 1. assign V706220 = V129947 - 1. assign V069326 = V181786 + 1. assign V416986 = V523313 + 1. assign V287710 = V176314. assign V650204 = V704994. assign V386423 = V182616 + 1. assign V747362 = V289780 + 1. assign V716086 = V511596 - 1. assign V013839 = V428886 - 1. assign V467581 = V424691 - 1. assign V040143 = V280506 - 1. assign V865504 = V029188 + 1. assign V937912 = V329410. assign V590838 = V256268. assign V834481 = V873507. assign V631157 = V297826 - 1. assign V256268 = V560963. assign V849821 = V004986. assign V928721 = V699590 + 1. assign V864254 = V207049. assign V928134 = V828177 - 1. assign V340001 = V181786. assign V810796 = V831766 - 1. assign V946472 = V375324. assign V007013 = V699590. assign V965163 = V207049. assign V506367 = V280506. assign V175565 = V424181. assign V600451 = V083405. assign V080426 = V523313 + 1. assign V520921 = V298097 + 1. assign V734125 = V917580 + 1. assign V375324 = 10. assign V176314 = V703597 + 1. assign V896270 = V185339 - 1. assign V762824 = V663622. assign V736533 = V226944 + 1. assign V218278 = V795773 + 1. assign V610780 = V777216 + 1. assign V169337 = V994434. assign V723505 = V424181 - 1. assign V791893 = V477658 - 1. assign V415811 = V541163. assign V095013 = V560260. assign V286953 = V527015 - 1. assign V297826 = V424181 + 1. assign V704994 = V287696 - 1. assign V795773 = V290920 + 1. assign V873507 = V859563. assign V979118 = V746777. assign V264209 = V557166. assign V560963 = V864254. assign V189011 = V699549 + 1. assign V306538 = V080426. assign V919050 = V439085 + 1. assign V104793 = V878000 - 1. assign V643320 = V795773 - 1. assign V762604 = V732894 + 1. assign V661918 = V169005 - 1. assign V509190 = V026630 + 1. assign V247340 = V799157. assign V332755 = V723313. assign V347848 = V123912 + 1. assign V771477 = V809304. assign V988757 = V180915 - 1. assign V669800 = V298097. assign V356352 = V413127 - 1. assign V831766 = V886714 - 1. assign V552384 = V970192 + 1. assign V409457 = V359370. assign V386105 = V455472. assign V978439 = V110274 - 1. assign V226944 = V946472 + 1. assign V375076 = V264689 + 1. assign V477658 = V090484 + 1. assign V405506 = V610780 + 1. assign V663622 = V181812 + 1. assign V416903 = V566352. assign V240195 = V390469 + 1. assign V700443 = V468228. assign V878000 = V912250 - 1. assign V145686 = V413127 + 1. assign V788838 = V375324 - 1. assign V181786 = V727400. assign V546928 = V687292. assign V018074 = V167585 + 1. assign V949578 = V318655 - 1. assign V575420 = V207049 + 1. assign V426372 = V928134 + 1. assign V179900 = V298097. assign V403269 = V910724. assign V468228 = V297826 + 1. assign V347388 = V080426. assign V147382 = V207049 - 1. assign V476510 = V264689. assign V333620 = V181786. assign V379083 = V005324 - 1. assign V318655 = V704994 + 1. assign V413127 = V181786. assign V676398 = V345062 - 1. assign V912250 = V280506 - 1. assign V402820 = V994434. assign V182616 = V423886 - 1. assign V780356 = V221989 + 1. assign V114073 = V918205 - 1. assign V199143 = V918205 - 1. assign V181812 = V043556. assign V132629 = V892002 + 1. assign V541163 = V181812. assign V827520 = V383099 + 1. assign V156232 = V148674 + 1. assign V298097 = V423532 - 1. assign V249553 = V699590 + 1. assign V680522 = V631157 - 1. assign V617866 = V555432. assign V530602 = V424181 - 1. assign V572343 = V290166. assign V456651 = V738072 - 1. assign V560260 = V199143. assign V576867 = V354206. assign V675590 = V207049 + 1. assign V721838 = V988988. assign V949866 = V930596 + 1. assign V309819 = V211802 + 1. assign V753232 = V511596 - 1. assign V876174 = V479001. assign V746777 = V511596 + 1. assign V919413 = V067599 - 1. assign V738072 = V918205 - 1. assign V437875 = V994434 - 1. assign V354206 = V687292. assign V359370 = V423532 + 1. assign V325721 = V491376 - 1. assign V877423 = V268311 + 1. assign V331362 = V333620 + 1. assign V699590 = V424691 - 1. assign V216132 = V525096 + 1. assign V379832 = V988988 + 1. assign V809304 = V349593. assign V075048 = V439085 - 1. assign V917580 = V114073. assign V523060 = V354206 + 1. assign V733368 = V148674 - 1. assign V615644 = V030614 + 1. assign V886714 = V859563 - 1. assign V295926 = V290920. assign V687292 = V752731 + 1. assign V556599 = V247340 - 1. assign V704367 = V110274. assign V469421 = V156232 - 1. assign V917849 = V181786 - 1. assign V530836 = V919050 + 1. assign V147279 = V523313 + 1. assign V175057 = V788838. assign V833513 = V423886 + 1. assign V969282 = V156232. assign V760505 = V280506 - 1. assign V703597 = V511596 + 1. assign V298791 = V616587 - 1. assign V576716 = V752731 - 1. assign V081648 = V416903 - 1. assign V146219 = V849055 + 1. assign V186336 = V752731. assign V099600 = V799157. assign V428886 = V268706 + 1. assign V705302 = V788838. assign V309907 = V628672. assign V131530 = V353012 + 1. assign V843165 = V083405 - 1. assign V519057 = V687292 + 1. assign V544677 = V919413. assign V871345 = V760505 - 1. assign V151501 = V511596 + 1. assign V353012 = V476510 + 1. assign V004986 = V983112 - 1. assign V723313 = V083405 + 1. assign V491376 = V030614 + 1. assign V185870 = V928134 - 1. assign V983112 = V704994 + 1. assign V910048 = V423886. assign V292192 = V137322 + 1. assign V290920 = V791893. assign V290166 = V295926 - 1. assign V043556 = V801948. assign V400031 = V468228. assign V049046 = V628672. assign V563019 = V988988 - 1. assign V796205 = V264209 + 1. assign V891126 = V910724. assign V736454 = V416986 + 1. assign V249554 = V182616 + 1. assign V988988 = V423532. assign V790404 = V801948. assign V812943 = V600451. assign V378866 = V147279 + 1. assign V169005 = V706220 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V143014 = V570935 - 1. assign V423532 = V129947. assign V748519 = V917580. assign V226958 = V719148 + 1. assign V411816 = V147382 - 1. assign V137322 = V918205 + 1. assign V699549 = V030614 - 1. assign V479001 = V148674 - 1. assign V523313 = V169288 + 1. assign V075352 = V661118. assign V263439 = V256268 - 1. assign V505699 = V424181 + 1. assign V876675 = V849055 + 1. assign V269227 = V423532. assign V109827 = V179900. assign V847868 = V185870 - 1. assign V752731 = V129947 + 1. assign V383099 = V256268 - 1. assign V718437 = V423532 + 1. assign V570935 = V600451. assign V527015 = V287696 - 1. assign V455472 = V723505 + 1. assign V713475 = V788838 + 1. assign V083405 = V970192 + 1. assign V579788 = V643320. assign V456959 = V349593 - 1. assign V180915 = V687292 + 1. assign V910724 = V799157. assign V059285 = V795773. assign V623902 = V233660 - 1. assign V999710 = V167585 + 1. assign V727400 = V892002 + 1. assign V882815 = V849055 - 1. assign V925997 = V719148 + 1. assign V873000 = V288410. assign V230451 = V661918 + 1. assign V268706 = V704994 + 1. assign V628672 = V067599 - 1. assign V423886 = V970192. assign V525096 = V332755. assign V349593 = V506367 + 1. assign V212285 = V185339. assign V366313 = V087572 - 1. assign V828177 = V298097. assign V840743 = V687292 + 1. assign V414828 = V727400 + 1. assign V211802 = V131530 - 1. assign V632513 = V949866 - 1. assign V100431 = V886714 - 1. assign V236929 = V912250 + 1. assign V428349 = V576867. assign V838116 = V828177 - 1. assign V268311 = V280506 + 1. assign V233660 = V268311. assign V661118 = V620224. assign V849055 = V864254 + 1. assign V914149 = V333620. assign V063161 = V349593 + 1. assign V005324 = V650204 - 1. assign V621058 = V799157 - 1. assign V479546 = V080426. assign V919451 = V189011 + 1. assign V185339 = V732894 + 1. assign V700558 = V176314. assign V443361 = V864254 + 1. assign V732894 = V333620 - 1. assign V169288 = V298097. assign V510807 = V148674 - 1. assign V201037 = V865504. assign V616587 = V752731 - 1. assign V221989 = V181786 - 1. assign V848973 = V199143. assign V905626 = V748519 - 1. assign V159753 = V456651 - 1. assign V064578 = V704994 - 1. assign V289780 = V137322 - 1. assign V833165 = V780356 - 1. assign V207049 = V424181 - 1. assign V424691 = V169288 + 1. assign V968741 = V919413 - 1. assign V777216 = V423532 + 1. assign V087572 = V661118 - 1. assign V803503 = V799157 + 1. assign V376376 = V356352 - 1. assign V345062 = V423532 + 1. assign V229908 = V101415 + 1. assign V090484 = V706220 + 1. assign V288410 = V199143 + 1. assign V511596 = V129947. assign V799157 = V704994. assign V389141 = V650204 + 1. assign V499378 = V201037 - 1. assign V424181 = V423532 + 1. assign V067599 = V718292 + 1. assign V578622 = V510807 - 1. assign V280506 = V423532. assign V155381 = V718292. assign V390469 = V876174 - 1. assign V264689 = V704994 - 1. assign V601019 = V428886. assign V490706 = V864254 - 1. assign V329410 = V424691. assign V101415 = V347388 + 1. assign V154789 = V748519 + 1. assign V899658 = V949399 + 1. assign V340521 = V298097 - 1. assign V123912 = V455472. assign V733633 = V001587 - 1. assign V459044 = V683482 - 1. assign V718292 = V791893 - 1. assign V030850 = V576867 + 1. assign V719148 = V280506 + 1. assign V656893 = V169005 + 1. assign V162502 = V353012 - 1. assign V148674 = V298097. assign V683482 = V233660 - 1. assign V521233 = V919413 + 1. assign V949399 = V810796 - 1. assign V129947 = V892002. assign V994434 = V087572 - 1. assign V955702 = V467581. assign V550356 = V560260 + 1. assign V612680 = V189011. assign V133583 = V090484. assign V029188 = V080426 + 1. assign V718988 = V230451 - 1. assign V598086 = V661918. assign V801948 = V129947 - 1. assign V439085 = V329410 - 1. assign V385277 = V189011. assign V635530 = V946472. assign V555432 = V199143. assign V879230 = V226944. assign V859563 = V576716 + 1. assign V822809 = V790404 + 1. assign V778842 = V087572 + 1. assign V566352 = V479001 + 1. assign V287696 = V777216 - 1. assign V001587 = V156232 - 1. assign V970192 = V892002. assign V930596 = V680522. assign V921535 = V650204. assign V026630 = V479001 - 1. assign V167585 = V207049 + 1. assign V445762 = V849821 - 1. assign V317133 = V236929 - 1. assign V030614 = V156232 - 1. assign V607727 = V780356 + 1. assign V660905 = V269227 + 1. assign V918205 = V886714 + 1. assign V042121 = V029188 - 1. assign V165229 = V849821 + 1. assign V110274 = V914149. assign V557166 = V083405 + 1. assign V620224 = V424181 - 1. assign V706220 = V129947 - 1. assign V069326 = V181786 + 1. assign V416986 = V523313 + 1. assign V287710 = V176314. assign V650204 = V704994. assign V386423 = V182616 + 1. assign V747362 = V289780 + 1. assign V716086 = V511596 - 1. assign V013839 = V428886 - 1. assign V467581 = V424691 - 1. assign V040143 = V280506 - 1. assign V865504 = V029188 + 1. assign V937912 = V329410. assign V590838 = V256268. assign V834481 = V873507. assign V631157 = V297826 - 1. assign V256268 = V560963. assign V849821 = V004986. assign V928721 = V699590 + 1. assign V864254 = V207049. assign V928134 = V828177 - 1. assign V340001 = V181786. assign V810796 = V831766 - 1. assign V946472 = V375324. assign V007013 = V699590. assign V965163 = V207049. assign V506367 = V280506. assign V175565 = V424181. assign V600451 = V083405. assign V080426 = V523313 + 1. assign V520921 = V298097 + 1. assign V734125 = V917580 + 1. assign V375324 = 10. assign V176314 = V703597 + 1. assign V896270 = V185339 - 1. assign V762824 = V663622. assign V736533 = V226944 + 1. assign V218278 = V795773 + 1. assign V610780 = V777216 + 1. assign V169337 = V994434. assign V723505 = V424181 - 1. assign V791893 = V477658 - 1. assign V415811 = V541163. assign V095013 = V560260. assign V286953 = V527015 - 1. assign V297826 = V424181 + 1. assign V704994 = V287696 - 1. assign V795773 = V290920 + 1. assign V873507 = V859563. assign V979118 = V746777. assign V264209 = V557166. assign V560963 = V864254. assign V189011 = V699549 + 1. assign V306538 = V080426. assign V919050 = V439085 + 1. assign V104793 = V878000 - 1. assign V643320 = V795773 - 1. assign V762604 = V732894 + 1. assign V661918 = V169005 - 1. assign V509190 = V026630 + 1. assign V247340 = V799157. assign V332755 = V723313. assign V347848 = V123912 + 1. assign V771477 = V809304. assign V988757 = V180915 - 1. assign V669800 = V298097. assign V356352 = V413127 - 1. assign V831766 = V886714 - 1. assign V552384 = V970192 + 1. assign V409457 = V359370. assign V386105 = V455472. assign V978439 = V110274 - 1. assign V226944 = V946472 + 1. assign V375076 = V264689 + 1. assign V477658 = V090484 + 1. assign V405506 = V610780 + 1. assign V663622 = V181812 + 1. assign V416903 = V566352. assign V240195 = V390469 + 1. assign V700443 = V468228. assign V878000 = V912250 - 1. assign V145686 = V413127 + 1. assign V788838 = V375324 - 1. assign V181786 = V727400. assign V546928 = V687292. assign V018074 = V167585 + 1. assign V949578 = V318655 - 1. assign V575420 = V207049 + 1. assign V426372 = V928134 + 1. assign V179900 = V298097. assign V403269 = V910724. assign V468228 = V297826 + 1. assign V347388 = V080426. assign V147382 = V207049 - 1. assign V476510 = V264689. assign V333620 = V181786. assign V379083 = V005324 - 1. assign V318655 = V704994 + 1. assign V413127 = V181786. assign V676398 = V345062 - 1. assign V912250 = V280506 - 1. assign V402820 = V994434. assign V182616 = V423886 - 1. assign V780356 = V221989 + 1. assign V114073 = V918205 - 1. assign V199143 = V918205 - 1. assign V181812 = V043556. assign V132629 = V892002 + 1. assign V541163 = V181812. assign V827520 = V383099 + 1. assign V156232 = V148674 + 1. assign V298097 = V423532 - 1. assign V249553 = V699590 + 1. assign V680522 = V631157 - 1. assign V617866 = V555432. assign V530602 = V424181 - 1. assign V572343 = V290166. assign V456651 = V738072 - 1. assign V560260 = V199143. assign V576867 = V354206. assign V675590 = V207049 + 1. assign V721838 = V988988. assign V949866 = V930596 + 1. assign V309819 = V211802 + 1. assign V753232 = V511596 - 1. assign V876174 = V479001. assign V746777 = V511596 + 1. assign V919413 = V067599 - 1. assign V738072 = V918205 - 1. assign V437875 = V994434 - 1. assign V354206 = V687292. assign V359370 = V423532 + 1. assign V325721 = V491376 - 1. assign V877423 = V268311 + 1. assign V331362 = V333620 + 1. assign V699590 = V424691 - 1. assign V216132 = V525096 + 1. assign V379832 = V988988 + 1. assign V809304 = V349593. assign V075048 = V439085 - 1. assign V917580 = V114073. assign V523060 = V354206 + 1. assign V733368 = V148674 - 1. assign V615644 = V030614 + 1. assign V886714 = V859563 - 1. assign V295926 = V290920. assign V687292 = V752731 + 1. assign V556599 = V247340 - 1. assign V704367 = V110274. assign V469421 = V156232 - 1. assign V917849 = V181786 - 1. assign V530836 = V919050 + 1. assign V147279 = V523313 + 1. assign V175057 = V788838. assign V833513 = V423886 + 1. assign V969282 = V156232. assign V760505 = V280506 - 1. assign V703597 = V511596 + 1. assign V298791 = V616587 - 1. assign V576716 = V752731 - 1. assign V081648 = V416903 - 1. assign V146219 = V849055 + 1. assign V186336 = V752731. assign V099600 = V799157. assign V428886 = V268706 + 1. assign V705302 = V788838. assign V309907 = V628672. assign V131530 = V353012 + 1. assign V843165 = V083405 - 1. assign V519057 = V687292 + 1. assign V544677 = V919413. assign V871345 = V760505 - 1. assign V151501 = V511596 + 1. assign V353012 = V476510 + 1. assign V004986 = V983112 - 1. assign V723313 = V083405 + 1. assign V491376 = V030614 + 1. assign V185870 = V928134 - 1. assign V983112 = V704994 + 1. assign V910048 = V423886. assign V292192 = V137322 + 1. assign V290920 = V791893. assign V290166 = V295926 - 1. assign V043556 = V801948. assign V400031 = V468228. assign V049046 = V628672. assign V563019 = V988988 - 1. assign V796205 = V264209 + 1. assign V891126 = V910724. assign V736454 = V416986 + 1. assign V249554 = V182616 + 1. assign V988988 = V423532. assign V790404 = V801948. assign V812943 = V600451. assign V378866 = V147279 + 1. assign V169005 = V706220 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV375324 = 10;\n\nFrom these direct assignment(s), we have: \nV788838 = V375324 - 1 = 10 - 1 =9;\nV705302 = V788838 = 9;\nNo other varaibles can be derived from V705302;\nV175057 = V788838 = 9;\nNo other varaibles can be derived from V175057;\nV713475 = V788838 + 1 = 9 + 1 =10;\nNo other varaibles can be derived from V713475;\nNo other varaibles can be derived from V788838;\nV946472 = V375324 = 10;\nV226944 = V946472 + 1 = 10 + 1 =11;\nV736533 = V226944 + 1 = 11 + 1 =12;\nNo other varaibles can be derived from V736533;\nV879230 = V226944 = 11;\nNo other varaibles can be derived from V879230;\nNo other varaibles can be derived from V226944;\nV635530 = V946472 = 10;\nNo other varaibles can be derived from V635530;\nNo other varaibles can be derived from V946472;\nNo other varaibles can be derived from V375324;\n\nNow we have done all the calculations. Derived variables are:\nV375324 = 10;\nV788838 = 9;\nV705302 = 9;\nV175057 = 9;\nV713475 = 10;\nV946472 = 10;\nV226944 = 11;\nV736533 = 12;\nV879230 = 11;\nV635530 = 10;\n\nNow we have finished this problem. ANSWER:\nV788838, V705302, V175057\n", "role": "assistant" } ]

[ "V762498" ]

[ { "content": "<context>\nassign V466591 = V420910. assign V267354 = V268145 - 1. assign V727889 = V336622 + 1. assign V215468 = V322746 + 1. assign V446412 = V581787 + 1. assign V489165 = V944615. assign V787909 = V441947. assign V530887 = V190767. assign V109710 = V114617 + 1. assign V213723 = V676041 - 1. assign V586773 = V687362 + 1. assign V115412 = V570473 + 1. assign V635836 = V577117 + 1. assign V336622 = V868295. assign V042724 = V017726 - 1. assign V354440 = V749392 - 1. assign V004187 = V581787 - 1. assign V219835 = V132789 + 1. assign V114617 = V892173 - 1. assign V786909 = V047989 + 1. assign V842214 = V308454 - 1. assign V912617 = V311226 - 1. assign V605976 = V132789 - 1. assign V087687 = V042724 - 1. assign V184854 = V857526 + 1. assign V474322 = V654303. assign V977364 = V501713 - 1. assign V550684 = V378900. assign V279673 = V336622. assign V479058 = V311226 - 1. assign V449124 = V857526. assign V967016 = V449063 - 1. assign V702620 = V644699 + 1. assign V740434 = V724750. assign V901441 = V770314. assign V447120 = V825844. assign V180562 = V029691. assign V713712 = V846470 + 1. assign V268145 = V157686. assign V064206 = V697042 - 1. assign V622439 = V676404 + 1. assign V411685 = V353401 - 1. assign V119797 = V644699 - 1. assign V322826 = V873510 + 1. assign V610027 = V170775 - 1. assign V152232 = V449063. assign V776742 = V727778. assign V058540 = V247648 - 1. assign V080085 = V671559 - 1. assign V274690 = V859086 + 1. assign V047989 = 2. assign V604194 = V422215 - 1. assign V885343 = V314900 + 1. assign V773568 = V013441. assign V575996 = V013441. assign V516136 = V501713 + 1. assign V846470 = V286288 - 1. assign V258828 = V789673 + 1. assign V697042 = V944615. assign V834349 = V012022. assign V126755 = V321668 + 1. assign V322746 = V944615 - 1. assign V321668 = V676404 + 1. assign V571646 = V314900 + 1. assign V931145 = V364447 - 1. assign V407907 = V825844 - 1. assign V756063 = V502886 + 1. assign V775084 = V213723 - 1. assign V245251 = V804442. assign V510287 = V786779 - 1. assign V825844 = V613823 + 1. assign V487160 = V571646. assign V821701 = V724750. assign V215013 = V285550. assign V961857 = V232305 - 1. assign V638441 = V783089 - 1. assign V543614 = V017726 + 1. assign V644699 = V406588 - 1. assign V868295 = V215013 - 1. assign V211696 = V064206. assign V943425 = V859086 + 1. assign V169413 = V691382. assign V707124 = V287706 - 1. assign V789673 = V157686 - 1. assign V070538 = V749392. assign V741561 = V047989 - 1. assign V753258 = V152232 - 1. assign V676404 = V070538 - 1. assign V238529 = V901441 + 1. assign V596222 = V069650 - 1. assign V232305 = V770314 - 1. assign V859695 = V692312 + 1. assign V012022 = V418433. assign V124225 = V446412 - 1. assign V618662 = V638441 - 1. assign V868644 = V274690 - 1. assign V724750 = V749392. assign V443504 = V017726 - 1. assign V772117 = V217733 - 1. assign V950010 = V961009. assign V492037 = V875368. assign V604834 = V133790 + 1. assign V707647 = V719022 - 1. assign V832557 = V042724 + 1. assign V540143 = V571646 + 1. assign V837939 = V422215 + 1. assign V083125 = V336622 - 1. assign V924747 = V446629. assign V891631 = V543614 + 1. assign V839397 = V882943. assign V057984 = V830943 - 1. assign V687362 = V314900. assign V780184 = V948795 + 1. assign V992064 = V692312. assign V541320 = V279673 + 1. assign V931957 = V845093 - 1. assign V330203 = V501713 + 1. assign V861616 = V612642 + 1. assign V961009 = V366989. assign V311226 = V746736 + 1. assign V249332 = V170775 - 1. assign V833096 = V868295 - 1. assign V345271 = V169413 + 1. assign V369745 = V549118 + 1. assign V718097 = V510287. assign V364447 = V818406. assign V486676 = V336622. assign V561414 = V111594. assign V443696 = V515036 + 1. assign V013953 = V152299. assign V013441 = V422215. assign V991313 = V619389. assign V518531 = V474322 - 1. assign V328617 = V837939 - 1. assign V230208 = V132789 - 1. assign V800117 = V885343 + 1. assign V770314 = V798750 - 1. assign V072772 = V119797 - 1. assign V422215 = V749392 + 1. assign V133790 = V724750 + 1. assign V429119 = V492037 - 1. assign V677147 = V029691 - 1. assign V470851 = V804442. assign V119087 = V268145 + 1. assign V845093 = V009908. assign V875368 = V891631 - 1. assign V531404 = V159980 + 1. assign V417854 = V543614 + 1. assign V190767 = V727778 - 1. assign V271401 = V451844 - 1. assign V653382 = V417675. assign V114222 = V013441. assign V947343 = V354440. assign V082832 = V284587. assign V989408 = V268145 - 1. assign V857526 = V017726 + 1. assign V382044 = V875368. assign V266917 = V719022 - 1. assign V459116 = V330203 - 1. assign V948795 = V593161. assign V063235 = V169413 - 1. assign V764544 = V530887 + 1. assign V176246 = V492037 + 1. assign V593161 = V321668 - 1. assign V111622 = V080504 + 1. assign V657634 = V655021. assign V795592 = V217733 - 1. assign V429329 = V172807. assign V403413 = V875781. assign V132789 = V285550 + 1. assign V515036 = V386086 + 1. assign V674510 = V328617. assign V345781 = V132789 + 1. assign V483722 = V274690 - 1. assign V502964 = V527578 - 1. assign V724084 = V531404 + 1. assign V502886 = V159980. assign V913776 = V449124. assign V375150 = V593539 - 1. assign V806517 = V571646 + 1. assign V446629 = V080504. assign V055360 = V825844 - 1. assign V384982 = V697042. assign V746736 = V425362 + 1. assign V588965 = V348263 + 1. assign V456551 = V268145 + 1. assign V804442 = V676404 + 1. assign V882943 = V238529 - 1. assign V172807 = V687362 + 1. assign V942291 = V353401 + 1. assign V774405 = V961009 + 1. assign V456309 = V172807 - 1. assign V938921 = V654303 + 1. assign V007514 = V219835 + 1. assign V420910 = V770314 + 1. assign V501713 = V152299 - 1. assign V795362 = V868644. assign V803714 = V671559 + 1. assign V386086 = V292261 + 1. assign V314900 = V724750. assign V292261 = V042724 + 1. assign V331976 = V268145 - 1. assign V298027 = V518531. assign V373350 = V466591 - 1. assign V069038 = V747412. assign V549118 = V740434. assign V527578 = V724084. assign V879844 = V724084 + 1. assign V425362 = V967016. assign V798750 = V892173 - 1. assign V763487 = V238529. assign V899469 = V901441 - 1. assign V449063 = V042724 + 1. assign V574714 = V776742 + 1. assign V997209 = V581787 - 1. assign V132973 = V691382. assign V613823 = V543614. assign V038589 = V875368 - 1. assign V021768 = V486676. assign V796697 = V132789. assign V372964 = V741561 - 1. assign V891570 = V806517 - 1. assign V325256 = V180562 - 1. assign V848557 = V820013 - 1. assign V017726 = V724750 - 1. assign V044984 = V653382. assign V466842 = V487160 + 1. assign V593539 = V531404. assign V966572 = V132789 + 1. assign V353401 = V749392. assign V441947 = V786779. assign V284587 = V213723. assign V859086 = V749392 - 1. assign V308454 = V770314 - 1. assign V152299 = V622439 - 1. assign V435864 = V571646. assign V132978 = V846470 - 1. assign V287706 = V868295. assign V897183 = V268145 - 1. assign V155132 = V760849 - 1. assign V820013 = V859086. assign V207527 = V635836 - 1. assign V749392 = V029691 + 1. assign V878287 = V159980 - 1. assign V762498 = V372964 - 1. assign V719022 = V899469. assign V619389 = V328617. assign V891614 = V833096. assign V760988 = V632482 + 1. assign V128726 = V047989 + 1. assign V451844 = V593539. assign V727778 = V878287 + 1. assign V199126 = V691382 - 1. assign V548650 = V369745. assign V216580 = V314900. assign V824178 = V308454 + 1. assign V062698 = V502886 + 1. assign V632482 = V901441 - 1. assign V691382 = V635836 - 1. assign V217733 = V818406 - 1. assign V757114 = V711121. assign V051417 = V285550 - 1. assign V286288 = V017726 - 1. assign V944615 = V859086. assign V438550 = V795362 - 1. assign V608052 = V943425 - 1. assign V760849 = V366989 + 1. assign V250756 = V966572 - 1. assign V157686 = V029691. assign V348263 = V724750. assign V783089 = V348263. assign V471292 = V133790 + 1. assign V417675 = V830943. assign V818406 = V531404. assign V139095 = V328617. assign V655021 = V741561 - 1. assign V111594 = V314900 - 1. assign V270968 = V830943 + 1. assign V346515 = V724084 + 1. assign V711121 = V346515 + 1. assign V271855 = V190767. assign V676041 = V612642 - 1. assign V285550 = V859086. assign V548103 = V548650. assign V529814 = V449124 + 1. assign V406588 = V724084 + 1. assign V366989 = V132978 - 1. assign V835714 = V824178 + 1. assign V586439 = V132789 + 1. assign V419203 = V588965. assign V008219 = V274690 - 1. assign V308096 = V425362 - 1. assign V451805 = V901441. assign V152753 = V286288. assign V747412 = V824178. assign V094078 = V944615. assign V692312 = V654303 - 1. assign V745054 = V152753. assign V873510 = V047989. assign V530146 = V322114 - 1. assign V169871 = V328617 + 1. assign V378900 = V707647 - 1. assign V612642 = V422215 + 1. assign V786779 = V531404 + 1. assign V083602 = V846470. assign V824539 = V382044. assign V690043 = V215468 + 1. assign V171764 = V575996 - 1. assign V322325 = V697042. assign V577117 = V348263 + 1. assign V125388 = V217733 - 1. assign V841889 = V691382. assign V080504 = V868644 + 1. assign V155400 = V238529. assign V993679 = V848557 + 1. assign V892173 = V749392. assign V570473 = V348263 + 1. assign V159980 = V422215. assign V210620 = V724750 - 1. assign V875781 = V132978 + 1. assign V322114 = V501713 + 1. assign V359435 = V764544 - 1. assign V687211 = V676404 + 1. assign V587893 = V899469. assign V193229 = V069650 + 1. assign V654303 = V571646 + 1. assign V936819 = V786779. assign V830943 = V612642 + 1. assign V753469 = V943425 + 1. assign V167568 = V882943 - 1. assign V450900 = V425362 - 1. assign V234773 = V219835. assign V942686 = V776742. assign V916709 = V080504 + 1. assign V526017 = V443504. assign V841815 = V618662 - 1. assign V581787 = V314900. assign V177855 = V612642 + 1. assign V233277 = V152753 - 1. assign V151724 = V830943. assign V671559 = V644699 - 1. assign V557535 = V321668 - 1. assign V170775 = V818406 + 1. assign V418433 = V619389 + 1. assign V920097 = V557535 - 1. assign V105423 = V155400 + 1. assign V009908 = V612642. assign V999745 = V868295 - 1. assign V002525 = V848557. assign V069650 = V420910 - 1. assign V247648 = V286288.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V466591 = V420910. assign V267354 = V268145 - 1. assign V727889 = V336622 + 1. assign V215468 = V322746 + 1. assign V446412 = V581787 + 1. assign V489165 = V944615. assign V787909 = V441947. assign V530887 = V190767. assign V109710 = V114617 + 1. assign V213723 = V676041 - 1. assign V586773 = V687362 + 1. assign V115412 = V570473 + 1. assign V635836 = V577117 + 1. assign V336622 = V868295. assign V042724 = V017726 - 1. assign V354440 = V749392 - 1. assign V004187 = V581787 - 1. assign V219835 = V132789 + 1. assign V114617 = V892173 - 1. assign V786909 = V047989 + 1. assign V842214 = V308454 - 1. assign V912617 = V311226 - 1. assign V605976 = V132789 - 1. assign V087687 = V042724 - 1. assign V184854 = V857526 + 1. assign V474322 = V654303. assign V977364 = V501713 - 1. assign V550684 = V378900. assign V279673 = V336622. assign V479058 = V311226 - 1. assign V449124 = V857526. assign V967016 = V449063 - 1. assign V702620 = V644699 + 1. assign V740434 = V724750. assign V901441 = V770314. assign V447120 = V825844. assign V180562 = V029691. assign V713712 = V846470 + 1. assign V268145 = V157686. assign V064206 = V697042 - 1. assign V622439 = V676404 + 1. assign V411685 = V353401 - 1. assign V119797 = V644699 - 1. assign V322826 = V873510 + 1. assign V610027 = V170775 - 1. assign V152232 = V449063. assign V776742 = V727778. assign V058540 = V247648 - 1. assign V080085 = V671559 - 1. assign V274690 = V859086 + 1. assign V047989 = 2. assign V604194 = V422215 - 1. assign V885343 = V314900 + 1. assign V773568 = V013441. assign V575996 = V013441. assign V516136 = V501713 + 1. assign V846470 = V286288 - 1. assign V258828 = V789673 + 1. assign V697042 = V944615. assign V834349 = V012022. assign V126755 = V321668 + 1. assign V322746 = V944615 - 1. assign V321668 = V676404 + 1. assign V571646 = V314900 + 1. assign V931145 = V364447 - 1. assign V407907 = V825844 - 1. assign V756063 = V502886 + 1. assign V775084 = V213723 - 1. assign V245251 = V804442. assign V510287 = V786779 - 1. assign V825844 = V613823 + 1. assign V487160 = V571646. assign V821701 = V724750. assign V215013 = V285550. assign V961857 = V232305 - 1. assign V638441 = V783089 - 1. assign V543614 = V017726 + 1. assign V644699 = V406588 - 1. assign V868295 = V215013 - 1. assign V211696 = V064206. assign V943425 = V859086 + 1. assign V169413 = V691382. assign V707124 = V287706 - 1. assign V789673 = V157686 - 1. assign V070538 = V749392. assign V741561 = V047989 - 1. assign V753258 = V152232 - 1. assign V676404 = V070538 - 1. assign V238529 = V901441 + 1. assign V596222 = V069650 - 1. assign V232305 = V770314 - 1. assign V859695 = V692312 + 1. assign V012022 = V418433. assign V124225 = V446412 - 1. assign V618662 = V638441 - 1. assign V868644 = V274690 - 1. assign V724750 = V749392. assign V443504 = V017726 - 1. assign V772117 = V217733 - 1. assign V950010 = V961009. assign V492037 = V875368. assign V604834 = V133790 + 1. assign V707647 = V719022 - 1. assign V832557 = V042724 + 1. assign V540143 = V571646 + 1. assign V837939 = V422215 + 1. assign V083125 = V336622 - 1. assign V924747 = V446629. assign V891631 = V543614 + 1. assign V839397 = V882943. assign V057984 = V830943 - 1. assign V687362 = V314900. assign V780184 = V948795 + 1. assign V992064 = V692312. assign V541320 = V279673 + 1. assign V931957 = V845093 - 1. assign V330203 = V501713 + 1. assign V861616 = V612642 + 1. assign V961009 = V366989. assign V311226 = V746736 + 1. assign V249332 = V170775 - 1. assign V833096 = V868295 - 1. assign V345271 = V169413 + 1. assign V369745 = V549118 + 1. assign V718097 = V510287. assign V364447 = V818406. assign V486676 = V336622. assign V561414 = V111594. assign V443696 = V515036 + 1. assign V013953 = V152299. assign V013441 = V422215. assign V991313 = V619389. assign V518531 = V474322 - 1. assign V328617 = V837939 - 1. assign V230208 = V132789 - 1. assign V800117 = V885343 + 1. assign V770314 = V798750 - 1. assign V072772 = V119797 - 1. assign V422215 = V749392 + 1. assign V133790 = V724750 + 1. assign V429119 = V492037 - 1. assign V677147 = V029691 - 1. assign V470851 = V804442. assign V119087 = V268145 + 1. assign V845093 = V009908. assign V875368 = V891631 - 1. assign V531404 = V159980 + 1. assign V417854 = V543614 + 1. assign V190767 = V727778 - 1. assign V271401 = V451844 - 1. assign V653382 = V417675. assign V114222 = V013441. assign V947343 = V354440. assign V082832 = V284587. assign V989408 = V268145 - 1. assign V857526 = V017726 + 1. assign V382044 = V875368. assign V266917 = V719022 - 1. assign V459116 = V330203 - 1. assign V948795 = V593161. assign V063235 = V169413 - 1. assign V764544 = V530887 + 1. assign V176246 = V492037 + 1. assign V593161 = V321668 - 1. assign V111622 = V080504 + 1. assign V657634 = V655021. assign V795592 = V217733 - 1. assign V429329 = V172807. assign V403413 = V875781. assign V132789 = V285550 + 1. assign V515036 = V386086 + 1. assign V674510 = V328617. assign V345781 = V132789 + 1. assign V483722 = V274690 - 1. assign V502964 = V527578 - 1. assign V724084 = V531404 + 1. assign V502886 = V159980. assign V913776 = V449124. assign V375150 = V593539 - 1. assign V806517 = V571646 + 1. assign V446629 = V080504. assign V055360 = V825844 - 1. assign V384982 = V697042. assign V746736 = V425362 + 1. assign V588965 = V348263 + 1. assign V456551 = V268145 + 1. assign V804442 = V676404 + 1. assign V882943 = V238529 - 1. assign V172807 = V687362 + 1. assign V942291 = V353401 + 1. assign V774405 = V961009 + 1. assign V456309 = V172807 - 1. assign V938921 = V654303 + 1. assign V007514 = V219835 + 1. assign V420910 = V770314 + 1. assign V501713 = V152299 - 1. assign V795362 = V868644. assign V803714 = V671559 + 1. assign V386086 = V292261 + 1. assign V314900 = V724750. assign V292261 = V042724 + 1. assign V331976 = V268145 - 1. assign V298027 = V518531. assign V373350 = V466591 - 1. assign V069038 = V747412. assign V549118 = V740434. assign V527578 = V724084. assign V879844 = V724084 + 1. assign V425362 = V967016. assign V798750 = V892173 - 1. assign V763487 = V238529. assign V899469 = V901441 - 1. assign V449063 = V042724 + 1. assign V574714 = V776742 + 1. assign V997209 = V581787 - 1. assign V132973 = V691382. assign V613823 = V543614. assign V038589 = V875368 - 1. assign V021768 = V486676. assign V796697 = V132789. assign V372964 = V741561 - 1. assign V891570 = V806517 - 1. assign V325256 = V180562 - 1. assign V848557 = V820013 - 1. assign V017726 = V724750 - 1. assign V044984 = V653382. assign V466842 = V487160 + 1. assign V593539 = V531404. assign V966572 = V132789 + 1. assign V353401 = V749392. assign V441947 = V786779. assign V284587 = V213723. assign V859086 = V749392 - 1. assign V308454 = V770314 - 1. assign V152299 = V622439 - 1. assign V435864 = V571646. assign V132978 = V846470 - 1. assign V287706 = V868295. assign V897183 = V268145 - 1. assign V155132 = V760849 - 1. assign V820013 = V859086. assign V207527 = V635836 - 1. assign V749392 = V029691 + 1. assign V878287 = V159980 - 1. assign V762498 = V372964 - 1. assign V719022 = V899469. assign V619389 = V328617. assign V891614 = V833096. assign V760988 = V632482 + 1. assign V128726 = V047989 + 1. assign V451844 = V593539. assign V727778 = V878287 + 1. assign V199126 = V691382 - 1. assign V548650 = V369745. assign V216580 = V314900. assign V824178 = V308454 + 1. assign V062698 = V502886 + 1. assign V632482 = V901441 - 1. assign V691382 = V635836 - 1. assign V217733 = V818406 - 1. assign V757114 = V711121. assign V051417 = V285550 - 1. assign V286288 = V017726 - 1. assign V944615 = V859086. assign V438550 = V795362 - 1. assign V608052 = V943425 - 1. assign V760849 = V366989 + 1. assign V250756 = V966572 - 1. assign V157686 = V029691. assign V348263 = V724750. assign V783089 = V348263. assign V471292 = V133790 + 1. assign V417675 = V830943. assign V818406 = V531404. assign V139095 = V328617. assign V655021 = V741561 - 1. assign V111594 = V314900 - 1. assign V270968 = V830943 + 1. assign V346515 = V724084 + 1. assign V711121 = V346515 + 1. assign V271855 = V190767. assign V676041 = V612642 - 1. assign V285550 = V859086. assign V548103 = V548650. assign V529814 = V449124 + 1. assign V406588 = V724084 + 1. assign V366989 = V132978 - 1. assign V835714 = V824178 + 1. assign V586439 = V132789 + 1. assign V419203 = V588965. assign V008219 = V274690 - 1. assign V308096 = V425362 - 1. assign V451805 = V901441. assign V152753 = V286288. assign V747412 = V824178. assign V094078 = V944615. assign V692312 = V654303 - 1. assign V745054 = V152753. assign V873510 = V047989. assign V530146 = V322114 - 1. assign V169871 = V328617 + 1. assign V378900 = V707647 - 1. assign V612642 = V422215 + 1. assign V786779 = V531404 + 1. assign V083602 = V846470. assign V824539 = V382044. assign V690043 = V215468 + 1. assign V171764 = V575996 - 1. assign V322325 = V697042. assign V577117 = V348263 + 1. assign V125388 = V217733 - 1. assign V841889 = V691382. assign V080504 = V868644 + 1. assign V155400 = V238529. assign V993679 = V848557 + 1. assign V892173 = V749392. assign V570473 = V348263 + 1. assign V159980 = V422215. assign V210620 = V724750 - 1. assign V875781 = V132978 + 1. assign V322114 = V501713 + 1. assign V359435 = V764544 - 1. assign V687211 = V676404 + 1. assign V587893 = V899469. assign V193229 = V069650 + 1. assign V654303 = V571646 + 1. assign V936819 = V786779. assign V830943 = V612642 + 1. assign V753469 = V943425 + 1. assign V167568 = V882943 - 1. assign V450900 = V425362 - 1. assign V234773 = V219835. assign V942686 = V776742. assign V916709 = V080504 + 1. assign V526017 = V443504. assign V841815 = V618662 - 1. assign V581787 = V314900. assign V177855 = V612642 + 1. assign V233277 = V152753 - 1. assign V151724 = V830943. assign V671559 = V644699 - 1. assign V557535 = V321668 - 1. assign V170775 = V818406 + 1. assign V418433 = V619389 + 1. assign V920097 = V557535 - 1. assign V105423 = V155400 + 1. assign V009908 = V612642. assign V999745 = V868295 - 1. assign V002525 = V848557. assign V069650 = V420910 - 1. assign V247648 = V286288.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV047989 = 2;\n\nFrom these direct assignment(s), we have: \nV873510 = V047989 = 2;\nV322826 = V873510 + 1 = 2 + 1 =3;\nNo other varaibles can be derived from V322826;\nNo other varaibles can be derived from V873510;\nV128726 = V047989 + 1 = 2 + 1 =3;\nNo other varaibles can be derived from V128726;\nV741561 = V047989 - 1 = 2 - 1 =1;\nV655021 = V741561 - 1 = 1 - 1 =0;\nV657634 = V655021 = 0;\nNo other varaibles can be derived from V657634;\nNo other varaibles can be derived from V655021;\nV372964 = V741561 - 1 = 1 - 1 =0;\nV762498 = V372964 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V762498;\nNo other varaibles can be derived from V372964;\nNo other varaibles can be derived from V741561;\nV786909 = V047989 + 1 = 2 + 1 =3;\nNo other varaibles can be derived from V786909;\nNo other varaibles can be derived from V047989;\n\nNow we have done all the calculations. Derived variables are:\nV047989 = 2;\nV873510 = 2;\nV322826 = 3;\nV128726 = 3;\nV741561 = 1;\nV655021 = 0;\nV657634 = 0;\nV372964 = 0;\nV762498 = -1;\nV786909 = 3;\n\nNow we have finished this problem. ANSWER:\nV762498\n", "role": "assistant" } ]

[ "V429869" ]

[ { "content": "<context>\nassign V584146 = V296112 + 1. assign V214746 = V678140 - 1. assign V069338 = V437617 - 1. assign V057623 = V769977 - 1. assign V942265 = V255502 - 1. assign V961528 = V326617 - 1. assign V801782 = V782748 - 1. assign V005843 = V889115 + 1. assign V871709 = V061927 - 1. assign V202354 = V286349 - 1. assign V947944 = V583251. assign V585988 = V885378. assign V256369 = V137723 + 1. assign V634499 = V171875. assign V885205 = V089347. assign V663462 = V105367. assign V117999 = V759759 - 1. assign V456066 = V258917 + 1. assign V712884 = V445545. assign V290654 = V061927. assign V771582 = V829882. assign V252793 = V399530. assign V287211 = V613843 + 1. assign V691093 = V950570 - 1. assign V927353 = V080275 - 1. assign V286349 = V908455 + 1. assign V848597 = V515537 - 1. assign V885378 = V712884 + 1. assign V668311 = V191255 - 1. assign V189506 = V452343. assign V020586 = V359806. assign V849487 = V634754 + 1. assign V495376 = V072808 + 1. assign V154800 = V180913. assign V820075 = V861182 - 1. assign V098319 = V610121. assign V489333 = V037076. assign V171927 = V739664 - 1. assign V129592 = V089017. assign V950570 = V829882 + 1. assign V728125 = V263687. assign V411585 = V433601. assign V889115 = V158574. assign V274691 = V446634 + 1. assign V381469 = V263687 - 1. assign V697743 = V742307 - 1. assign V171875 = V846170 - 1. assign V797944 = V400024 + 1. assign V624516 = V622875. assign V163649 = V166922 - 1. assign V298998 = V678140 + 1. assign V448825 = V924605 - 1. assign V613843 = V759759. assign V267094 = V924605 + 1. assign V887026 = V542454 + 1. assign V120208 = V694992. assign V038118 = V376272. assign V781559 = V439225 + 1. assign V326617 = V797944 - 1. assign V491635 = V774992 - 1. assign V376455 = V189506 - 1. assign V745638 = V171875. assign V895116 = V233427 - 1. assign V583251 = V034704 - 1. assign V898862 = V908455. assign V621721 = V311091 + 1. assign V364728 = V406785 - 1. assign V563846 = V806858. assign V166922 = V745638. assign V251286 = V158574 + 1. assign V255502 = V759759 + 1. assign V207043 = V518870 + 1. assign V140411 = V180198. assign V785916 = V381469 - 1. assign V395603 = V286349. assign V137066 = V518870 + 1. assign V792361 = V742307 + 1. assign V734664 = V973438 - 1. assign V399287 = V701690 + 1. assign V262891 = V129592. assign V434442 = V381469 + 1. assign V110455 = V494166 - 1. assign V348267 = V627067 - 1. assign V594645 = V759759. assign V515615 = V566876. assign V837432 = V971523 + 1. assign V373755 = V622875 + 1. assign V662437 = V400024 + 1. assign V569958 = V774992 - 1. assign V934940 = V961951 - 1. assign V351612 = V091914 + 1. assign V225878 = V661943 + 1. assign V410719 = V806858 - 1. assign V587285 = V381469. assign V768878 = V542454 + 1. assign V961951 = V697703 + 1. assign V073242 = V411870 + 1. assign V439225 = V961951. assign V328529 = V607574 - 1. assign V233427 = V053471 - 1. assign V542454 = V697703 + 1. assign V359119 = V961951. assign V119890 = V566876 - 1. assign V835750 = V180198. assign V742307 = V338083 + 1. assign V931135 = V505819 - 1. assign V855514 = V971523 - 1. assign V061927 = V942520 + 1. assign V335751 = V542454 - 1. assign V622875 = V712884 + 1. assign V595642 = V961951. assign V829882 = V961951. assign V818549 = V848597. assign V900173 = V909836 + 1. assign V798838 = V347639 + 1. assign V105768 = V408429 - 1. assign V384687 = V662437 - 1. assign V452855 = V861182 - 1. assign V344975 = V491692 + 1. assign V428194 = V584146 - 1. assign V513516 = V120208 + 1. assign V586473 = V231718 - 1. assign V309455 = V846170. assign V463669 = V774992. assign V408429 = V814082. assign V074761 = V570595 - 1. assign V492980 = V937366. assign V859586 = V080275. assign V392128 = V734664 + 1. assign V158574 = V829882. assign V494166 = V628273 + 1. assign V020786 = V113001. assign V935654 = V961951 - 1. assign V952279 = V979250 + 1. assign V689527 = V053471 + 1. assign V944062 = V553113 + 1. assign V975666 = V846170 + 1. assign V010657 = V338083. assign V832745 = V386761 - 1. assign V747171 = V258917 - 1. assign V638995 = V971523. assign V782748 = V971523. assign V518870 = V878975 - 1. assign V759759 = V359806 + 1. assign V105367 = V255502 - 1. assign V208469 = V607574. assign V631537 = V129592 - 1. assign V515537 = V967215. assign V959241 = V837432 + 1. assign V047865 = V486526 - 1. assign V359806 = V967215 + 1. assign V500476 = V697703. assign V449426 = V937366. assign V810798 = V861182. assign V941435 = V359806 - 1. assign V476952 = V202354 - 1. assign V273325 = V730267. assign V452343 = V494166 - 1. assign V216988 = V270491. assign V734001 = V091914 - 1. assign V553113 = V428194. assign V258917 = V742307 + 1. assign V771376 = V072808 + 1. assign V311091 = V878975. assign V486526 = V379772 - 1. assign V014224 = V712884. assign V251184 = V458082 + 1. assign V446330 = V255502 + 1. assign V022648 = V982240 + 1. assign V561961 = V909836. assign V190656 = V445545. assign V622062 = V020786 - 1. assign V399530 = V072808 - 1. assign V244337 = V908455 - 1. assign V709097 = V908455. assign V505819 = V697703. assign V310390 = V518870 + 1. assign V086365 = V859586. assign V089017 = V061927 - 1. assign V723806 = V663969 - 1. assign V140378 = V098319 - 1. assign V766839 = V979250. assign V805786 = V955560 - 1. assign V376272 = V553113 - 1. assign V852627 = V208494 + 1. assign V646200 = V769977 + 1. assign V940849 = V934940 + 1. assign V880840 = V263687 - 1. assign V491692 = V607574 - 1. assign V559220 = V098319. assign V446967 = V463669 - 1. assign V490446 = V739287. assign V632383 = V594645 + 1. assign V037076 = V942520. assign V411870 = V034704. assign V386761 = V490795 + 1. assign V162641 = V338083 - 1. assign V796347 = V446634 - 1. assign V627067 = V505819 - 1. assign V378826 = V801782. assign V578671 = V712884 + 1. assign V739287 = V190656 + 1. assign V769977 = V849487 + 1. assign V338083 = V967215 + 1. assign V406785 = V296112. assign V460569 = V942520 + 1. assign V405244 = V864342 - 1. assign V133482 = V801782. assign V231718 = V940849. assign V553561 = V490795 + 1. assign V942520 = V846170 - 1. assign V996362 = V570595 + 1. assign V784586 = V792361. assign V007656 = V255502 - 1. assign V801562 = V408429. assign V979250 = V898862 - 1. assign V152671 = V975666 + 1. assign V811492 = V490795. assign V187982 = V734664 - 1. assign V967215 = V014224 - 1. assign V814082 = V578801. assign V429869 = V356418 - 1. assign V520957 = V020586 - 1. assign V841397 = V010657. assign V973438 = V428194 - 1. assign V924605 = V961951. assign V864342 = V578801 - 1. assign V790893 = V979250 - 1. assign V051206 = V302294 + 1. assign V701690 = V849487. assign V172870 = V971523 + 1. assign V607574 = V460569 + 1. assign V955560 = V622875. assign V928461 = V621721 - 1. assign V663969 = V607574 + 1. assign V558247 = V089347. assign V698977 = V486526. assign V495762 = V086365 - 1. assign V846170 = V610121. assign V191403 = V982111. assign V379772 = V171875 + 1. assign V763869 = V610121 - 1. assign V905668 = V187982 + 1. assign V790684 = V610121. assign V566876 = V846170 + 1. assign V761124 = V243730 + 1. assign V357656 = V520957. assign V347639 = V007656 + 1. assign V931723 = V812412 - 1. assign V277426 = V348267 + 1. assign V263687 = V622875. assign V570595 = V034704 - 1. assign V180913 = V437617 + 1. assign V971523 = V584146. assign V010357 = V220662. assign V018369 = V982240 - 1. assign V581993 = V158574 + 1. assign V490795 = V359806 + 1. assign V302294 = V871709 - 1. assign V573875 = V187982 + 1. assign V215532 = V053471. assign V862590 = V162641 - 1. assign V506744 = V908455 - 1. assign V730267 = V406785 - 1. assign V080275 = V445545 - 1. assign V780990 = V069338 - 1. assign V270491 = V505819 - 1. assign V034704 = V445545 + 1. assign V447222 = V982240 + 1. assign V039925 = V694992 - 1. assign V585611 = V806858 - 1. assign V238570 = V166922. assign V828173 = V872046 + 1. assign V982240 = V585988 - 1. assign V400024 = V861182. assign V435551 = V784586 - 1. assign V969211 = V573875. assign V270725 = V573875 + 1. assign V345017 = V091914. assign V208494 = V267094 + 1. assign V610121 = V296112 - 1. assign V437617 = V447222 + 1. assign V937366 = V034704 - 1. assign V842214 = V386761 + 1. assign V137723 = V961951 - 1. assign V782026 = V774992 + 1. assign V634754 = V908455 - 1. assign V220662 = V034704 - 1. assign V276334 = V392128 + 1. assign V758829 = V880840 - 1. assign V812412 = V678140. assign V433479 = V258917 + 1. assign V441933 = V898862 + 1. assign V487638 = V594645 + 1. assign V661943 = V376272. assign V774992 = 2. assign V089347 = V566876 - 1. assign V861182 = V622875 + 1. assign V091914 = V610121 - 1. assign V334476 = V979250 + 1. assign V909836 = V258917 + 1. assign V948962 = V110455. assign V878975 = V628273. assign V049154 = V627067. assign V809563 = V187982 + 1. assign V562787 = V832745 + 1. assign V870508 = V010657 + 1. assign V072330 = V238570. assign V694992 = V908455. assign V739664 = V782748 + 1. assign V356418 = V349350. assign V812539 = V267094 - 1. assign V053471 = V973438. assign V099064 = V941435 - 1. assign V659796 = V947944. assign V720273 = V638995. assign V678140 = V049154. assign V365410 = V745638 + 1. assign V982111 = V191290 + 1. assign V446634 = V622875 + 1. assign V433601 = V452855 + 1. assign V113001 = V581993 - 1. assign V191255 = V855514 - 1. assign V578801 = V251286 + 1. assign V296112 = V445545 - 1. assign V072808 = V559220 - 1. assign V697703 = V296112 - 1. assign V351470 = V909836 + 1. assign V872046 = V231718 + 1. assign V482211 = V739664 - 1. assign V458082 = V428194. assign V169294 = V578801 - 1. assign V180198 = V338083 + 1. assign V905504 = V189506 - 1. assign V806858 = V792361 + 1. assign V575696 = V578801 + 1. assign V242163 = V395603 + 1. assign V243730 = V973438 - 1. assign V349350 = V569958 - 1. assign V594057 = V251286 + 1. assign V908455 = V542454 + 1. assign V628273 = V338083 + 1. assign V481376 = V774992. assign V039461 = V812539 - 1. assign V191290 = V759759 - 1. assign V144836 = V238570. assign V774619 = V189506 + 1. assign V658193 = V905668 - 1. assign V188424 = V452343. assign V205141 = V553113 + 1. assign V941774 = V061927.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V584146 = V296112 + 1. assign V214746 = V678140 - 1. assign V069338 = V437617 - 1. assign V057623 = V769977 - 1. assign V942265 = V255502 - 1. assign V961528 = V326617 - 1. assign V801782 = V782748 - 1. assign V005843 = V889115 + 1. assign V871709 = V061927 - 1. assign V202354 = V286349 - 1. assign V947944 = V583251. assign V585988 = V885378. assign V256369 = V137723 + 1. assign V634499 = V171875. assign V885205 = V089347. assign V663462 = V105367. assign V117999 = V759759 - 1. assign V456066 = V258917 + 1. assign V712884 = V445545. assign V290654 = V061927. assign V771582 = V829882. assign V252793 = V399530. assign V287211 = V613843 + 1. assign V691093 = V950570 - 1. assign V927353 = V080275 - 1. assign V286349 = V908455 + 1. assign V848597 = V515537 - 1. assign V885378 = V712884 + 1. assign V668311 = V191255 - 1. assign V189506 = V452343. assign V020586 = V359806. assign V849487 = V634754 + 1. assign V495376 = V072808 + 1. assign V154800 = V180913. assign V820075 = V861182 - 1. assign V098319 = V610121. assign V489333 = V037076. assign V171927 = V739664 - 1. assign V129592 = V089017. assign V950570 = V829882 + 1. assign V728125 = V263687. assign V411585 = V433601. assign V889115 = V158574. assign V274691 = V446634 + 1. assign V381469 = V263687 - 1. assign V697743 = V742307 - 1. assign V171875 = V846170 - 1. assign V797944 = V400024 + 1. assign V624516 = V622875. assign V163649 = V166922 - 1. assign V298998 = V678140 + 1. assign V448825 = V924605 - 1. assign V613843 = V759759. assign V267094 = V924605 + 1. assign V887026 = V542454 + 1. assign V120208 = V694992. assign V038118 = V376272. assign V781559 = V439225 + 1. assign V326617 = V797944 - 1. assign V491635 = V774992 - 1. assign V376455 = V189506 - 1. assign V745638 = V171875. assign V895116 = V233427 - 1. assign V583251 = V034704 - 1. assign V898862 = V908455. assign V621721 = V311091 + 1. assign V364728 = V406785 - 1. assign V563846 = V806858. assign V166922 = V745638. assign V251286 = V158574 + 1. assign V255502 = V759759 + 1. assign V207043 = V518870 + 1. assign V140411 = V180198. assign V785916 = V381469 - 1. assign V395603 = V286349. assign V137066 = V518870 + 1. assign V792361 = V742307 + 1. assign V734664 = V973438 - 1. assign V399287 = V701690 + 1. assign V262891 = V129592. assign V434442 = V381469 + 1. assign V110455 = V494166 - 1. assign V348267 = V627067 - 1. assign V594645 = V759759. assign V515615 = V566876. assign V837432 = V971523 + 1. assign V373755 = V622875 + 1. assign V662437 = V400024 + 1. assign V569958 = V774992 - 1. assign V934940 = V961951 - 1. assign V351612 = V091914 + 1. assign V225878 = V661943 + 1. assign V410719 = V806858 - 1. assign V587285 = V381469. assign V768878 = V542454 + 1. assign V961951 = V697703 + 1. assign V073242 = V411870 + 1. assign V439225 = V961951. assign V328529 = V607574 - 1. assign V233427 = V053471 - 1. assign V542454 = V697703 + 1. assign V359119 = V961951. assign V119890 = V566876 - 1. assign V835750 = V180198. assign V742307 = V338083 + 1. assign V931135 = V505819 - 1. assign V855514 = V971523 - 1. assign V061927 = V942520 + 1. assign V335751 = V542454 - 1. assign V622875 = V712884 + 1. assign V595642 = V961951. assign V829882 = V961951. assign V818549 = V848597. assign V900173 = V909836 + 1. assign V798838 = V347639 + 1. assign V105768 = V408429 - 1. assign V384687 = V662437 - 1. assign V452855 = V861182 - 1. assign V344975 = V491692 + 1. assign V428194 = V584146 - 1. assign V513516 = V120208 + 1. assign V586473 = V231718 - 1. assign V309455 = V846170. assign V463669 = V774992. assign V408429 = V814082. assign V074761 = V570595 - 1. assign V492980 = V937366. assign V859586 = V080275. assign V392128 = V734664 + 1. assign V158574 = V829882. assign V494166 = V628273 + 1. assign V020786 = V113001. assign V935654 = V961951 - 1. assign V952279 = V979250 + 1. assign V689527 = V053471 + 1. assign V944062 = V553113 + 1. assign V975666 = V846170 + 1. assign V010657 = V338083. assign V832745 = V386761 - 1. assign V747171 = V258917 - 1. assign V638995 = V971523. assign V782748 = V971523. assign V518870 = V878975 - 1. assign V759759 = V359806 + 1. assign V105367 = V255502 - 1. assign V208469 = V607574. assign V631537 = V129592 - 1. assign V515537 = V967215. assign V959241 = V837432 + 1. assign V047865 = V486526 - 1. assign V359806 = V967215 + 1. assign V500476 = V697703. assign V449426 = V937366. assign V810798 = V861182. assign V941435 = V359806 - 1. assign V476952 = V202354 - 1. assign V273325 = V730267. assign V452343 = V494166 - 1. assign V216988 = V270491. assign V734001 = V091914 - 1. assign V553113 = V428194. assign V258917 = V742307 + 1. assign V771376 = V072808 + 1. assign V311091 = V878975. assign V486526 = V379772 - 1. assign V014224 = V712884. assign V251184 = V458082 + 1. assign V446330 = V255502 + 1. assign V022648 = V982240 + 1. assign V561961 = V909836. assign V190656 = V445545. assign V622062 = V020786 - 1. assign V399530 = V072808 - 1. assign V244337 = V908455 - 1. assign V709097 = V908455. assign V505819 = V697703. assign V310390 = V518870 + 1. assign V086365 = V859586. assign V089017 = V061927 - 1. assign V723806 = V663969 - 1. assign V140378 = V098319 - 1. assign V766839 = V979250. assign V805786 = V955560 - 1. assign V376272 = V553113 - 1. assign V852627 = V208494 + 1. assign V646200 = V769977 + 1. assign V940849 = V934940 + 1. assign V880840 = V263687 - 1. assign V491692 = V607574 - 1. assign V559220 = V098319. assign V446967 = V463669 - 1. assign V490446 = V739287. assign V632383 = V594645 + 1. assign V037076 = V942520. assign V411870 = V034704. assign V386761 = V490795 + 1. assign V162641 = V338083 - 1. assign V796347 = V446634 - 1. assign V627067 = V505819 - 1. assign V378826 = V801782. assign V578671 = V712884 + 1. assign V739287 = V190656 + 1. assign V769977 = V849487 + 1. assign V338083 = V967215 + 1. assign V406785 = V296112. assign V460569 = V942520 + 1. assign V405244 = V864342 - 1. assign V133482 = V801782. assign V231718 = V940849. assign V553561 = V490795 + 1. assign V942520 = V846170 - 1. assign V996362 = V570595 + 1. assign V784586 = V792361. assign V007656 = V255502 - 1. assign V801562 = V408429. assign V979250 = V898862 - 1. assign V152671 = V975666 + 1. assign V811492 = V490795. assign V187982 = V734664 - 1. assign V967215 = V014224 - 1. assign V814082 = V578801. assign V429869 = V356418 - 1. assign V520957 = V020586 - 1. assign V841397 = V010657. assign V973438 = V428194 - 1. assign V924605 = V961951. assign V864342 = V578801 - 1. assign V790893 = V979250 - 1. assign V051206 = V302294 + 1. assign V701690 = V849487. assign V172870 = V971523 + 1. assign V607574 = V460569 + 1. assign V955560 = V622875. assign V928461 = V621721 - 1. assign V663969 = V607574 + 1. assign V558247 = V089347. assign V698977 = V486526. assign V495762 = V086365 - 1. assign V846170 = V610121. assign V191403 = V982111. assign V379772 = V171875 + 1. assign V763869 = V610121 - 1. assign V905668 = V187982 + 1. assign V790684 = V610121. assign V566876 = V846170 + 1. assign V761124 = V243730 + 1. assign V357656 = V520957. assign V347639 = V007656 + 1. assign V931723 = V812412 - 1. assign V277426 = V348267 + 1. assign V263687 = V622875. assign V570595 = V034704 - 1. assign V180913 = V437617 + 1. assign V971523 = V584146. assign V010357 = V220662. assign V018369 = V982240 - 1. assign V581993 = V158574 + 1. assign V490795 = V359806 + 1. assign V302294 = V871709 - 1. assign V573875 = V187982 + 1. assign V215532 = V053471. assign V862590 = V162641 - 1. assign V506744 = V908455 - 1. assign V730267 = V406785 - 1. assign V080275 = V445545 - 1. assign V780990 = V069338 - 1. assign V270491 = V505819 - 1. assign V034704 = V445545 + 1. assign V447222 = V982240 + 1. assign V039925 = V694992 - 1. assign V585611 = V806858 - 1. assign V238570 = V166922. assign V828173 = V872046 + 1. assign V982240 = V585988 - 1. assign V400024 = V861182. assign V435551 = V784586 - 1. assign V969211 = V573875. assign V270725 = V573875 + 1. assign V345017 = V091914. assign V208494 = V267094 + 1. assign V610121 = V296112 - 1. assign V437617 = V447222 + 1. assign V937366 = V034704 - 1. assign V842214 = V386761 + 1. assign V137723 = V961951 - 1. assign V782026 = V774992 + 1. assign V634754 = V908455 - 1. assign V220662 = V034704 - 1. assign V276334 = V392128 + 1. assign V758829 = V880840 - 1. assign V812412 = V678140. assign V433479 = V258917 + 1. assign V441933 = V898862 + 1. assign V487638 = V594645 + 1. assign V661943 = V376272. assign V774992 = 2. assign V089347 = V566876 - 1. assign V861182 = V622875 + 1. assign V091914 = V610121 - 1. assign V334476 = V979250 + 1. assign V909836 = V258917 + 1. assign V948962 = V110455. assign V878975 = V628273. assign V049154 = V627067. assign V809563 = V187982 + 1. assign V562787 = V832745 + 1. assign V870508 = V010657 + 1. assign V072330 = V238570. assign V694992 = V908455. assign V739664 = V782748 + 1. assign V356418 = V349350. assign V812539 = V267094 - 1. assign V053471 = V973438. assign V099064 = V941435 - 1. assign V659796 = V947944. assign V720273 = V638995. assign V678140 = V049154. assign V365410 = V745638 + 1. assign V982111 = V191290 + 1. assign V446634 = V622875 + 1. assign V433601 = V452855 + 1. assign V113001 = V581993 - 1. assign V191255 = V855514 - 1. assign V578801 = V251286 + 1. assign V296112 = V445545 - 1. assign V072808 = V559220 - 1. assign V697703 = V296112 - 1. assign V351470 = V909836 + 1. assign V872046 = V231718 + 1. assign V482211 = V739664 - 1. assign V458082 = V428194. assign V169294 = V578801 - 1. assign V180198 = V338083 + 1. assign V905504 = V189506 - 1. assign V806858 = V792361 + 1. assign V575696 = V578801 + 1. assign V242163 = V395603 + 1. assign V243730 = V973438 - 1. assign V349350 = V569958 - 1. assign V594057 = V251286 + 1. assign V908455 = V542454 + 1. assign V628273 = V338083 + 1. assign V481376 = V774992. assign V039461 = V812539 - 1. assign V191290 = V759759 - 1. assign V144836 = V238570. assign V774619 = V189506 + 1. assign V658193 = V905668 - 1. assign V188424 = V452343. assign V205141 = V553113 + 1. assign V941774 = V061927.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV774992 = 2;\n\nFrom these direct assignment(s), we have: \nV481376 = V774992 = 2;\nNo other varaibles can be derived from V481376;\nV782026 = V774992 + 1 = 2 + 1 =3;\nNo other varaibles can be derived from V782026;\nV463669 = V774992 = 2;\nV446967 = V463669 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V446967;\nNo other varaibles can be derived from V463669;\nV569958 = V774992 - 1 = 2 - 1 =1;\nV349350 = V569958 - 1 = 1 - 1 =0;\nV356418 = V349350 = 0;\nV429869 = V356418 - 1 = 0 - 1 =-1;\nNo other varaibles can be derived from V429869;\nNo other varaibles can be derived from V356418;\nNo other varaibles can be derived from V349350;\nNo other varaibles can be derived from V569958;\nV491635 = V774992 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V491635;\nNo other varaibles can be derived from V774992;\n\nNow we have done all the calculations. Derived variables are:\nV774992 = 2;\nV481376 = 2;\nV782026 = 3;\nV463669 = 2;\nV446967 = 1;\nV569958 = 1;\nV349350 = 0;\nV356418 = 0;\nV429869 = -1;\nV491635 = 1;\n\nNow we have finished this problem. ANSWER:\nV429869\n", "role": "assistant" } ]

[ "V693987", "V128841", "V255454" ]

[ { "content": "<context>\nassign V960554 = V374023 + 1. assign V921900 = V650741 + 1. assign V736769 = V058505. assign V300654 = V651053. assign V204417 = V620787. assign V962313 = V627789. assign V789237 = V257199 - 1. assign V688389 = V539482 - 1. assign V038117 = V705464 - 1. assign V679304 = V155110. assign V253054 = V650741. assign V457538 = V271023 + 1. assign V397731 = V748381 - 1. assign V303977 = V339778 - 1. assign V239352 = V845680 + 1. assign V238636 = V426136 + 1. assign V604429 = V452522 + 1. assign V387531 = V651364 + 1. assign V346617 = V379818 - 1. assign V751701 = V951525 + 1. assign V670281 = V326334. assign V699708 = V683538 - 1. assign V132758 = V266461. assign V676086 = V253054 + 1. assign V557608 = V748381 + 1. assign V616978 = V038117. assign V101445 = V830029 - 1. assign V205009 = V748381. assign V340511 = V770938 + 1. assign V265265 = V435238. assign V630227 = V539482 - 1. assign V084973 = V131772 + 1. assign V535419 = V842081 + 1. assign V502584 = V604429 + 1. assign V472018 = V249241 - 1. assign V831640 = V620787 + 1. assign V267466 = V896162 - 1. assign V294517 = V149844. assign V630082 = V651053 - 1. assign V731158 = V084973 - 1. assign V822112 = V514595. assign V834475 = V774264. assign V366289 = V214360. assign V161455 = V852656. assign V510627 = V366289 - 1. assign V613756 = V473848. assign V140323 = V595165. assign V302529 = V593419. assign V398473 = V631185. assign V572169 = V340819 + 1. assign V693811 = V402572. assign V252030 = V811864 + 1. assign V021859 = V595165 - 1. assign V243692 = V562359. assign V149846 = V527527. assign V982155 = V568352 + 1. assign V140539 = V573221 - 1. assign V940425 = V189109. assign V055771 = V832062 + 1. assign V754341 = V548918. assign V293235 = V977498. assign V882765 = V762662 + 1. assign V878308 = V204417 + 1. assign V751201 = V654049. assign V036259 = V127722 - 1. assign V783491 = V206370. assign V639431 = V340819 + 1. assign V595877 = V061386 + 1. assign V812034 = V321752. assign V934550 = V683801 - 1. assign V054668 = V660888 + 1. assign V945610 = V770938 + 1. assign V326334 = V271023 + 1. assign V748381 = V593419 - 1. assign V573221 = V866481 - 1. assign V374023 = V852656 - 1. assign V634897 = V285392 - 1. assign V627789 = V514595 - 1. assign V598728 = V077313 + 1. assign V056222 = V161455. assign V914354 = V366289 - 1. assign V468212 = V013684 - 1. assign V435238 = V249241 - 1. assign V378670 = V387531 - 1. assign V693269 = 6. assign V402572 = V338432 + 1. assign V786816 = V562493. assign V940597 = V131772. assign V683538 = V638390. assign V454564 = V449433. assign V562359 = V960554 + 1. assign V489132 = V638390 - 1. assign V737879 = V502584. assign V951525 = V740494. assign V207163 = V452522 - 1. assign V751303 = V358639. assign V683801 = V180896 + 1. assign V426631 = V751201 + 1. assign V241991 = V740494 - 1. assign V068035 = V285392 + 1. assign V319023 = V786017 + 1. assign V791010 = V452522 - 1. assign V266461 = V038117 - 1. assign V127722 = V683048. assign V911291 = V822433. assign V093867 = V651053 - 1. assign V292061 = V693269. assign V108467 = V206370. assign V829141 = V683801 - 1. assign V638200 = V639431 + 1. assign V055039 = V226305. assign V435798 = V473848. assign V935423 = V651364. assign V697137 = V502584. assign V518940 = V556735 + 1. assign V163400 = V285392 + 1. assign V052523 = V911291 - 1. assign V058505 = V426136 - 1. assign V406775 = V161455 + 1. assign V780994 = V552328 + 1. assign V661750 = V514595 - 1. assign V248606 = V241991. assign V651529 = V660888. assign V249241 = V972771. assign V226305 = V878308 - 1. assign V385240 = V651364 - 1. assign V303343 = V062958 + 1. assign V181105 = V140323. assign V214360 = V131772 + 1. assign V962237 = V081504 - 1. assign V774264 = V058505. assign V705464 = V620787. assign V631651 = V340511 + 1. assign V448765 = V932471 - 1. assign V664194 = V986323. assign V808588 = V921900. assign V673707 = V431575 + 1. assign V449433 = V620787. assign V495860 = V218196 - 1. assign V412331 = V294517 - 1. assign V431575 = V770938 - 1. assign V975030 = V055039. assign V725927 = V226305 + 1. assign V803987 = V241991 - 1. assign V230086 = V638390 + 1. assign V452522 = V688389 - 1. assign V279918 = V269071 - 1. assign V708837 = V155110. assign V304050 = V180896 - 1. assign V285392 = V748381. assign V255454 = V693987. assign V050664 = V562493. assign V949709 = V838377. assign V676493 = V257199 + 1. assign V656884 = V054668. assign V228677 = V808588. assign V507441 = V754341 + 1. assign V107031 = V177293 - 1. assign V727054 = V527527. assign V796423 = V326334 + 1. assign V061386 = V894446 + 1. assign V880546 = V568757 + 1. assign V280960 = V972771 - 1. assign V200071 = V638390. assign V717537 = V161455 - 1. assign V562730 = V914354 - 1. assign V932471 = V279918 - 1. assign V886806 = V638200. assign V212445 = V269071 + 1. assign V838377 = V548918. assign V132816 = V472018 - 1. assign V751413 = V101445 + 1. assign V680617 = V503165. assign V343867 = V678064 - 1. assign V164541 = V878308. assign V852656 = V866481 + 1. assign V660888 = V638390 - 1. assign V772571 = V050664. assign V206370 = V573221. assign V986323 = V650741. assign V618215 = V650741. assign V070443 = V502584 - 1. assign V811864 = V789237. assign V238204 = V932471 + 1. assign V847805 = V055039. assign V026423 = V699708. assign V073484 = V562359 + 1. assign V128419 = V638390 - 1. assign V464870 = V697137 - 1. assign V379818 = V539994 + 1. assign V683048 = V783491 + 1. assign V836284 = V572169 - 1. assign V628902 = V962237. assign V134510 = V999416. assign V740494 = V562493 - 1. assign V340819 = V700266 - 1. assign V077313 = V292061 + 1. assign V229548 = V892693 - 1. assign V978374 = V676086 + 1. assign V676852 = V292061 + 1. assign V149844 = V269071 + 1. assign V894446 = V911291 - 1. assign V431462 = V164541 + 1. assign V912841 = V253054. assign V638390 = V253054 - 1. assign V595165 = V650741. assign V655968 = V140323. assign V241028 = V271023 + 1. assign V620392 = V774264 - 1. assign V830029 = V338432 - 1. assign V818855 = V155110. assign V693987 = V292061 - 1. assign V503165 = V651364 + 1. assign V593660 = V751701. assign V128841 = V428821 - 1. assign V527527 = V212445. assign V801490 = V131772 - 1. assign V920272 = V943254 + 1. assign V943254 = V340819. assign V058843 = V472018 - 1. assign V530372 = V474823 - 1. assign V537008 = V194615. assign V264518 = V573221 - 1. assign V339778 = V627789. assign V172353 = V826994 - 1. assign V962142 = V300654 + 1. assign V473848 = V189109 + 1. assign V032984 = V500268. assign V678064 = V683538 - 1. assign V635133 = V257199 + 1. assign V388153 = V539482 + 1. assign V822433 = V326334. assign V141234 = V555267. assign V730043 = V852656. assign V353448 = V257199. assign V008512 = V568352 - 1. assign V073025 = V514595 + 1. assign V376154 = V552328. assign V539994 = V808588 + 1. assign V762662 = V699708 + 1. assign V081504 = V242497 - 1. assign V896162 = V882765 + 1. assign V514595 = V620787 - 1. assign V842081 = V683538 + 1. assign V474823 = V346617 - 1. assign V271023 = V388153 + 1. assign V941726 = V562359. assign V495971 = V321752. assign V593419 = V457538 + 1. assign V524351 = V631185. assign V562493 = V705464. assign V219443 = V748381 - 1. assign V492050 = V780994. assign V684363 = V397731. assign V832062 = V181105 - 1. assign V568757 = V218196. assign V478402 = V269071 - 1. assign V358639 = V645934 + 1. assign V765285 = V058505 - 1. assign V107968 = V435238. assign V674695 = V141408 - 1. assign V622686 = V340819 + 1. assign V111819 = V932594. assign V581590 = V008512. assign V621446 = V131772. assign V514482 = V131772 - 1. assign V820916 = V756029. assign V932594 = V866481 + 1. assign V320732 = V772571. assign V631185 = V552328. assign V321752 = V573221 - 1. assign V619434 = V772571. assign V748107 = V939826. assign V651364 = V214360 + 1. assign V338432 = V214360 - 1. assign V686291 = V038117 + 1. assign V650741 = V705464 + 1. assign V818585 = V468212 + 1. assign V189109 = V972771. assign V141408 = V180896 + 1. assign V657815 = V339778 - 1. assign V700266 = V204417. assign V328514 = V971070 + 1. assign V718803 = V164541. assign V109763 = V811864 - 1. assign V071973 = V673707. assign V556735 = V631185. assign V377725 = V510627 + 1. assign V482664 = V374023 - 1. assign V011303 = V489132 + 1. assign V500268 = V595165 + 1. assign V972771 = V620787 + 1. assign V831477 = V865137. assign V269071 = V257199 - 1. assign V013684 = V040977. assign V555267 = V595877. assign V892693 = V214360. assign V876546 = V340819 - 1. assign V716494 = V705464. assign V977498 = V180896 - 1. assign V845680 = V740494. assign V180896 = V972771 + 1. assign V029797 = V502584. assign V507157 = V999416 - 1. assign V552328 = V626288 + 1. assign V595355 = V366289 + 1. assign V030941 = V811864 - 1. assign V831150 = V339778 + 1. assign V271208 = V943254 + 1. assign V346129 = V452522 + 1. assign V866481 = V688389 - 1. assign V865137 = V131772 + 1. assign V040977 = V452522 + 1. assign V654049 = V847805 - 1. assign V240011 = V406775. assign V177293 = V830029. assign V223042 = V598728 + 1. assign V822807 = V972771 + 1. assign V155110 = V691465 + 1. assign V257199 = V620787 + 1. assign V651053 = V626288 + 1. assign V539482 = V620787 + 1. assign V428821 = V077313 - 1. assign V645934 = V683538. assign V352990 = V866481 + 1. assign V487367 = V506820 + 1. assign V999416 = V878308. assign V062958 = V866481 - 1. assign V194615 = V808588 + 1. assign V301549 = V762662. assign V180889 = V132816 + 1. assign V702005 = V831150 - 1. assign V691465 = V539482 + 1. assign V786017 = V300654 - 1. assign V939826 = V557608 + 1. assign V971070 = V029797 + 1. assign V749838 = V379818. assign V548918 = V326334. assign V304755 = V679304. assign V770938 = V514595 - 1. assign V568352 = V426136 + 1. assign V506820 = V084973 + 1. assign V826994 = V676086 + 1. assign V426136 = V073025 + 1. assign V242497 = V852656. assign V218196 = V206370. assign V756029 = V676086 + 1. assign V131772 = V972771 + 1. assign V220516 = V081504 - 1. assign V579059 = V748381 - 1. assign V626288 = V604429.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V960554 = V374023 + 1. assign V921900 = V650741 + 1. assign V736769 = V058505. assign V300654 = V651053. assign V204417 = V620787. assign V962313 = V627789. assign V789237 = V257199 - 1. assign V688389 = V539482 - 1. assign V038117 = V705464 - 1. assign V679304 = V155110. assign V253054 = V650741. assign V457538 = V271023 + 1. assign V397731 = V748381 - 1. assign V303977 = V339778 - 1. assign V239352 = V845680 + 1. assign V238636 = V426136 + 1. assign V604429 = V452522 + 1. assign V387531 = V651364 + 1. assign V346617 = V379818 - 1. assign V751701 = V951525 + 1. assign V670281 = V326334. assign V699708 = V683538 - 1. assign V132758 = V266461. assign V676086 = V253054 + 1. assign V557608 = V748381 + 1. assign V616978 = V038117. assign V101445 = V830029 - 1. assign V205009 = V748381. assign V340511 = V770938 + 1. assign V265265 = V435238. assign V630227 = V539482 - 1. assign V084973 = V131772 + 1. assign V535419 = V842081 + 1. assign V502584 = V604429 + 1. assign V472018 = V249241 - 1. assign V831640 = V620787 + 1. assign V267466 = V896162 - 1. assign V294517 = V149844. assign V630082 = V651053 - 1. assign V731158 = V084973 - 1. assign V822112 = V514595. assign V834475 = V774264. assign V366289 = V214360. assign V161455 = V852656. assign V510627 = V366289 - 1. assign V613756 = V473848. assign V140323 = V595165. assign V302529 = V593419. assign V398473 = V631185. assign V572169 = V340819 + 1. assign V693811 = V402572. assign V252030 = V811864 + 1. assign V021859 = V595165 - 1. assign V243692 = V562359. assign V149846 = V527527. assign V982155 = V568352 + 1. assign V140539 = V573221 - 1. assign V940425 = V189109. assign V055771 = V832062 + 1. assign V754341 = V548918. assign V293235 = V977498. assign V882765 = V762662 + 1. assign V878308 = V204417 + 1. assign V751201 = V654049. assign V036259 = V127722 - 1. assign V783491 = V206370. assign V639431 = V340819 + 1. assign V595877 = V061386 + 1. assign V812034 = V321752. assign V934550 = V683801 - 1. assign V054668 = V660888 + 1. assign V945610 = V770938 + 1. assign V326334 = V271023 + 1. assign V748381 = V593419 - 1. assign V573221 = V866481 - 1. assign V374023 = V852656 - 1. assign V634897 = V285392 - 1. assign V627789 = V514595 - 1. assign V598728 = V077313 + 1. assign V056222 = V161455. assign V914354 = V366289 - 1. assign V468212 = V013684 - 1. assign V435238 = V249241 - 1. assign V378670 = V387531 - 1. assign V693269 = 6. assign V402572 = V338432 + 1. assign V786816 = V562493. assign V940597 = V131772. assign V683538 = V638390. assign V454564 = V449433. assign V562359 = V960554 + 1. assign V489132 = V638390 - 1. assign V737879 = V502584. assign V951525 = V740494. assign V207163 = V452522 - 1. assign V751303 = V358639. assign V683801 = V180896 + 1. assign V426631 = V751201 + 1. assign V241991 = V740494 - 1. assign V068035 = V285392 + 1. assign V319023 = V786017 + 1. assign V791010 = V452522 - 1. assign V266461 = V038117 - 1. assign V127722 = V683048. assign V911291 = V822433. assign V093867 = V651053 - 1. assign V292061 = V693269. assign V108467 = V206370. assign V829141 = V683801 - 1. assign V638200 = V639431 + 1. assign V055039 = V226305. assign V435798 = V473848. assign V935423 = V651364. assign V697137 = V502584. assign V518940 = V556735 + 1. assign V163400 = V285392 + 1. assign V052523 = V911291 - 1. assign V058505 = V426136 - 1. assign V406775 = V161455 + 1. assign V780994 = V552328 + 1. assign V661750 = V514595 - 1. assign V248606 = V241991. assign V651529 = V660888. assign V249241 = V972771. assign V226305 = V878308 - 1. assign V385240 = V651364 - 1. assign V303343 = V062958 + 1. assign V181105 = V140323. assign V214360 = V131772 + 1. assign V962237 = V081504 - 1. assign V774264 = V058505. assign V705464 = V620787. assign V631651 = V340511 + 1. assign V448765 = V932471 - 1. assign V664194 = V986323. assign V808588 = V921900. assign V673707 = V431575 + 1. assign V449433 = V620787. assign V495860 = V218196 - 1. assign V412331 = V294517 - 1. assign V431575 = V770938 - 1. assign V975030 = V055039. assign V725927 = V226305 + 1. assign V803987 = V241991 - 1. assign V230086 = V638390 + 1. assign V452522 = V688389 - 1. assign V279918 = V269071 - 1. assign V708837 = V155110. assign V304050 = V180896 - 1. assign V285392 = V748381. assign V255454 = V693987. assign V050664 = V562493. assign V949709 = V838377. assign V676493 = V257199 + 1. assign V656884 = V054668. assign V228677 = V808588. assign V507441 = V754341 + 1. assign V107031 = V177293 - 1. assign V727054 = V527527. assign V796423 = V326334 + 1. assign V061386 = V894446 + 1. assign V880546 = V568757 + 1. assign V280960 = V972771 - 1. assign V200071 = V638390. assign V717537 = V161455 - 1. assign V562730 = V914354 - 1. assign V932471 = V279918 - 1. assign V886806 = V638200. assign V212445 = V269071 + 1. assign V838377 = V548918. assign V132816 = V472018 - 1. assign V751413 = V101445 + 1. assign V680617 = V503165. assign V343867 = V678064 - 1. assign V164541 = V878308. assign V852656 = V866481 + 1. assign V660888 = V638390 - 1. assign V772571 = V050664. assign V206370 = V573221. assign V986323 = V650741. assign V618215 = V650741. assign V070443 = V502584 - 1. assign V811864 = V789237. assign V238204 = V932471 + 1. assign V847805 = V055039. assign V026423 = V699708. assign V073484 = V562359 + 1. assign V128419 = V638390 - 1. assign V464870 = V697137 - 1. assign V379818 = V539994 + 1. assign V683048 = V783491 + 1. assign V836284 = V572169 - 1. assign V628902 = V962237. assign V134510 = V999416. assign V740494 = V562493 - 1. assign V340819 = V700266 - 1. assign V077313 = V292061 + 1. assign V229548 = V892693 - 1. assign V978374 = V676086 + 1. assign V676852 = V292061 + 1. assign V149844 = V269071 + 1. assign V894446 = V911291 - 1. assign V431462 = V164541 + 1. assign V912841 = V253054. assign V638390 = V253054 - 1. assign V595165 = V650741. assign V655968 = V140323. assign V241028 = V271023 + 1. assign V620392 = V774264 - 1. assign V830029 = V338432 - 1. assign V818855 = V155110. assign V693987 = V292061 - 1. assign V503165 = V651364 + 1. assign V593660 = V751701. assign V128841 = V428821 - 1. assign V527527 = V212445. assign V801490 = V131772 - 1. assign V920272 = V943254 + 1. assign V943254 = V340819. assign V058843 = V472018 - 1. assign V530372 = V474823 - 1. assign V537008 = V194615. assign V264518 = V573221 - 1. assign V339778 = V627789. assign V172353 = V826994 - 1. assign V962142 = V300654 + 1. assign V473848 = V189109 + 1. assign V032984 = V500268. assign V678064 = V683538 - 1. assign V635133 = V257199 + 1. assign V388153 = V539482 + 1. assign V822433 = V326334. assign V141234 = V555267. assign V730043 = V852656. assign V353448 = V257199. assign V008512 = V568352 - 1. assign V073025 = V514595 + 1. assign V376154 = V552328. assign V539994 = V808588 + 1. assign V762662 = V699708 + 1. assign V081504 = V242497 - 1. assign V896162 = V882765 + 1. assign V514595 = V620787 - 1. assign V842081 = V683538 + 1. assign V474823 = V346617 - 1. assign V271023 = V388153 + 1. assign V941726 = V562359. assign V495971 = V321752. assign V593419 = V457538 + 1. assign V524351 = V631185. assign V562493 = V705464. assign V219443 = V748381 - 1. assign V492050 = V780994. assign V684363 = V397731. assign V832062 = V181105 - 1. assign V568757 = V218196. assign V478402 = V269071 - 1. assign V358639 = V645934 + 1. assign V765285 = V058505 - 1. assign V107968 = V435238. assign V674695 = V141408 - 1. assign V622686 = V340819 + 1. assign V111819 = V932594. assign V581590 = V008512. assign V621446 = V131772. assign V514482 = V131772 - 1. assign V820916 = V756029. assign V932594 = V866481 + 1. assign V320732 = V772571. assign V631185 = V552328. assign V321752 = V573221 - 1. assign V619434 = V772571. assign V748107 = V939826. assign V651364 = V214360 + 1. assign V338432 = V214360 - 1. assign V686291 = V038117 + 1. assign V650741 = V705464 + 1. assign V818585 = V468212 + 1. assign V189109 = V972771. assign V141408 = V180896 + 1. assign V657815 = V339778 - 1. assign V700266 = V204417. assign V328514 = V971070 + 1. assign V718803 = V164541. assign V109763 = V811864 - 1. assign V071973 = V673707. assign V556735 = V631185. assign V377725 = V510627 + 1. assign V482664 = V374023 - 1. assign V011303 = V489132 + 1. assign V500268 = V595165 + 1. assign V972771 = V620787 + 1. assign V831477 = V865137. assign V269071 = V257199 - 1. assign V013684 = V040977. assign V555267 = V595877. assign V892693 = V214360. assign V876546 = V340819 - 1. assign V716494 = V705464. assign V977498 = V180896 - 1. assign V845680 = V740494. assign V180896 = V972771 + 1. assign V029797 = V502584. assign V507157 = V999416 - 1. assign V552328 = V626288 + 1. assign V595355 = V366289 + 1. assign V030941 = V811864 - 1. assign V831150 = V339778 + 1. assign V271208 = V943254 + 1. assign V346129 = V452522 + 1. assign V866481 = V688389 - 1. assign V865137 = V131772 + 1. assign V040977 = V452522 + 1. assign V654049 = V847805 - 1. assign V240011 = V406775. assign V177293 = V830029. assign V223042 = V598728 + 1. assign V822807 = V972771 + 1. assign V155110 = V691465 + 1. assign V257199 = V620787 + 1. assign V651053 = V626288 + 1. assign V539482 = V620787 + 1. assign V428821 = V077313 - 1. assign V645934 = V683538. assign V352990 = V866481 + 1. assign V487367 = V506820 + 1. assign V999416 = V878308. assign V062958 = V866481 - 1. assign V194615 = V808588 + 1. assign V301549 = V762662. assign V180889 = V132816 + 1. assign V702005 = V831150 - 1. assign V691465 = V539482 + 1. assign V786017 = V300654 - 1. assign V939826 = V557608 + 1. assign V971070 = V029797 + 1. assign V749838 = V379818. assign V548918 = V326334. assign V304755 = V679304. assign V770938 = V514595 - 1. assign V568352 = V426136 + 1. assign V506820 = V084973 + 1. assign V826994 = V676086 + 1. assign V426136 = V073025 + 1. assign V242497 = V852656. assign V218196 = V206370. assign V756029 = V676086 + 1. assign V131772 = V972771 + 1. assign V220516 = V081504 - 1. assign V579059 = V748381 - 1. assign V626288 = V604429.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 5.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV693269 = 6;\n\nFrom these direct assignment(s), we have: \nV292061 = V693269 = 6;\nV693987 = V292061 - 1 = 6 - 1 =5;\nV255454 = V693987 = 5;\nNo other varaibles can be derived from V255454;\nNo other varaibles can be derived from V693987;\nV676852 = V292061 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V676852;\nV077313 = V292061 + 1 = 6 + 1 =7;\nV428821 = V077313 - 1 = 7 - 1 =6;\nV128841 = V428821 - 1 = 6 - 1 =5;\nNo other varaibles can be derived from V128841;\nNo other varaibles can be derived from V428821;\nV598728 = V077313 + 1 = 7 + 1 =8;\nV223042 = V598728 + 1 = 8 + 1 =9;\nNo other varaibles can be derived from V223042;\nNo other varaibles can be derived from V598728;\nNo other varaibles can be derived from V077313;\nNo other varaibles can be derived from V292061;\nNo other varaibles can be derived from V693269;\n\nNow we have done all the calculations. Derived variables are:\nV693269 = 6;\nV292061 = 6;\nV693987 = 5;\nV255454 = 5;\nV676852 = 7;\nV077313 = 7;\nV428821 = 6;\nV128841 = 5;\nV598728 = 8;\nV223042 = 9;\n\nNow we have finished this problem. ANSWER:\nV693987, V255454, V128841\n", "role": "assistant" } ]

[ "V118908", "V548588", "V316794", "V273857" ]

[ { "content": "<context>\nassign V645436 = V465684 - 1. assign V318849 = V163214 + 1. assign V068268 = V439426 - 1. assign V583203 = V037269 - 1. assign V867615 = V439426. assign V520420 = V111558. assign V267790 = V732777 - 1. assign V243015 = V078304 - 1. assign V931107 = V439426 - 1. assign V322537 = V375925 + 1. assign V836621 = V496488. assign V766294 = V757946. assign V781231 = V732777 + 1. assign V105372 = V983721 - 1. assign V721315 = V841414 - 1. assign V279988 = V687086 + 1. assign V273052 = V590545 - 1. assign V739526 = V915808. assign V644630 = V318849 + 1. assign V706330 = V114013. assign V043466 = V471742 - 1. assign V506664 = V516593 - 1. assign V147297 = 9. assign V418900 = V153953 + 1. assign V657415 = V458730 - 1. assign V587777 = V063366. assign V950181 = V238821 - 1. assign V916877 = V793258. assign V506827 = V456343. assign V518220 = V268871. assign V815650 = V348566. assign V153071 = V947432 - 1. assign V500684 = V068268 - 1. assign V435865 = V446471 - 1. assign V696693 = V728360 + 1. assign V464354 = V608153 - 1. assign V736860 = V338490 - 1. assign V934368 = V600693 - 1. assign V920047 = V657415 + 1. assign V424068 = V590171 + 1. assign V156742 = V975963 - 1. assign V031996 = V044152. assign V297624 = V713236 + 1. assign V327867 = V693418. assign V421486 = V965838 - 1. assign V572724 = V290598 - 1. assign V270540 = V143357. assign V821402 = V806374 - 1. assign V023365 = V496488 - 1. assign V461840 = V124045 + 1. assign V933602 = V151660. assign V966846 = V947440. assign V266297 = V939659. assign V042677 = V947440. assign V002862 = V608153 + 1. assign V905610 = V809275 + 1. assign V385073 = V029385 + 1. assign V068911 = V872327. assign V145196 = V465684. assign V444816 = V691987. assign V135630 = V819957. assign V684229 = V576971. assign V461943 = V324441 - 1. assign V319921 = V888829 + 1. assign V244837 = V370010. assign V732777 = V916877. assign V180750 = V268871 + 1. assign V490455 = V807579 + 1. assign V025347 = V953732 - 1. assign V025316 = V013400 - 1. assign V197980 = V815650 + 1. assign V082423 = V072440 - 1. assign V465684 = V755214 + 1. assign V348566 = V494981 + 1. assign V273857 = V792274 + 1. assign V363696 = V060526 + 1. assign V077197 = V151194. assign V228285 = V933602 - 1. assign V501129 = V687718 + 1. assign V029385 = V939659 - 1. assign V364143 = V975963 - 1. assign V114013 = V151194. assign V549982 = V268871. assign V600693 = V809275. assign V458730 = V413580 + 1. assign V844013 = V518034. assign V320264 = V975963 + 1. assign V243310 = V471742 - 1. assign V982003 = V889410 - 1. assign V723343 = V266297 + 1. assign V476205 = V267790. assign V853522 = V973558 + 1. assign V456343 = V737130 + 1. assign V546638 = V284898 + 1. assign V915808 = V529502 - 1. assign V782118 = V888829 - 1. assign V874308 = V514782. assign V072440 = V600693 - 1. assign V131971 = V180750 + 1. assign V793258 = V324441 - 1. assign V953732 = V590545. assign V220756 = V114013 - 1. assign V237621 = V483293 - 1. assign V118908 = V841414 + 1. assign V874872 = V590545 + 1. assign V044152 = V807579 + 1. assign V013400 = V270524 - 1. assign V841414 = V147297 + 1. assign V446471 = V348972. assign V072456 = V809275 - 1. assign V537794 = V518034. assign V005193 = V757946 + 1. assign V316794 = V782636 + 1. assign V150602 = V687718 + 1. assign V713236 = V559865. assign V341465 = V151194 + 1. assign V210904 = V732777 + 1. assign V898887 = V439426. assign V498620 = V546672 + 1. assign V564409 = V590545 + 1. assign V128800 = V336711 + 1. assign V343623 = V786337. assign V736580 = V888829 + 1. assign V111558 = V290598. assign V261434 = V819957 + 1. assign V983721 = V867615 + 1. assign V902659 = V905610. assign V342968 = V982003 + 1. assign V391766 = V405071 + 1. assign V882920 = V973558 + 1. assign V529502 = V324441. assign V546672 = V514782. assign V078304 = V741501 + 1. assign V143357 = V807579. assign V351225 = V114013 - 1. assign V687086 = V496488 + 1. assign V889410 = V324441 - 1. assign V313581 = V657415 - 1. assign V048175 = V259099 - 1. assign V162050 = V313581 + 1. assign V599902 = V537794 + 1. assign V151678 = V485960 + 1. assign V093298 = V874308 + 1. assign V354439 = V693418 + 1. assign V806374 = V273052 - 1. assign V324441 = V590545 + 1. assign V782636 = V792274. assign V448483 = V590545 + 1. assign V414622 = V351225. assign V975963 = V953732 - 1. assign V638189 = V244944 - 1. assign V911085 = V713236 + 1. assign V939320 = V068268 + 1. assign V576971 = V461943 - 1. assign V330213 = V023365 + 1. assign V947440 = V063366. assign V613303 = V243310. assign V472240 = V564409 - 1. assign V795524 = V979462 + 1. assign V823696 = V244944 + 1. assign V496488 = V472240 - 1. assign V822336 = V546638 + 1. assign V122786 = V044054 + 1. assign V496830 = V874872 - 1. assign V571251 = V461943 + 1. assign V286327 = V063366 + 1. assign V315771 = V514782 + 1. assign V338490 = V819957. assign V483739 = V375925. assign V859677 = V082423. assign V548588 = V118908. assign V485960 = V934368 + 1. assign V983597 = V003964. assign V805300 = V600693 + 1. assign V182004 = V916877 - 1. assign V600405 = V807579 - 1. assign V387445 = V273052 - 1. assign V944665 = V153071 + 1. assign V383867 = V156742 - 1. assign V431079 = V934368 + 1. assign V947432 = V916877 - 1. assign V284899 = V691987 + 1. assign V537984 = V915808. assign V737109 = V781231 + 1. assign V901066 = V122786 + 1. assign V282689 = V514782 + 1. assign V929934 = V351225 + 1. assign V903570 = V472240. assign V904997 = V029385 + 1. assign V590771 = V237621 - 1. assign V010598 = V132060. assign V124045 = V874872. assign V344297 = V815650 + 1. assign V586112 = V713236. assign V950120 = V905176. assign V804574 = V318849 - 1. assign V534040 = V836621 + 1. assign V648454 = V132060. assign V471655 = V755214. assign V941546 = V564409 + 1. assign V824427 = V874308 - 1. assign V940342 = V072456. assign V893226 = V735617. assign V797049 = V786337 - 1. assign V586903 = V476205 - 1. assign V516593 = V063366 - 1. assign V966280 = V335517 - 1. assign V838180 = V336711 - 1. assign V531969 = V151194. assign V979462 = V496488 + 1. assign V579780 = V493189 - 1. assign V755214 = V266725. assign V518034 = V529502. assign V682231 = V324441 + 1. assign V405071 = V638189. assign V317713 = V238821 + 1. assign V437624 = V485960. assign V430997 = V151194 + 1. assign V375925 = V315771 + 1. assign V268871 = V072440 + 1. assign V861326 = V736580 + 1. assign V483293 = V413580 + 1. assign V045421 = V153071. assign V114250 = V244944 + 1. assign V735617 = V975963 + 1. assign V991622 = V806374 + 1. assign V792274 = V721315 + 1. assign V926265 = V054536 - 1. assign V737130 = V004716 - 1. assign V259099 = V953732 + 1. assign V539827 = V786337 + 1. assign V366304 = V944665 - 1. assign V965838 = V514782 - 1. assign V054536 = V290598 + 1. assign V449458 = V859677 + 1. assign V060526 = V237621 + 1. assign V694270 = V920047. assign V215709 = V624466 - 1. assign V728360 = V687718. assign V872327 = V228355. assign V179722 = V691987 - 1. assign V270524 = V684318 - 1. assign V786719 = V461943 + 1. assign V973558 = V701925 + 1. assign V653467 = V259099 + 1. assign V153719 = V934703 - 1. assign V937922 = V546638 + 1. assign V228355 = V448483 - 1. assign V687718 = V135630 - 1. assign V017890 = V025347 - 1. assign V369048 = V290817 - 1. assign V053367 = V210904 + 1. assign V439426 = V324441 + 1. assign V450932 = V348566 + 1. assign V370010 = V237621 + 1. assign V597495 = V841414. assign V718499 = V590545 + 1. assign V111103 = V872327 + 1. assign V494981 = V713236. assign V938803 = V006858 + 1. assign V837384 = V934703 - 1. assign V037269 = V517829 + 1. assign V163214 = V920047 + 1. assign V471742 = V693418 - 1. assign V976687 = V439426. assign V303411 = V537794. assign V151194 = V889410 + 1. assign V547476 = V199236 + 1. assign V905176 = V938803. assign V513415 = V844013 + 1. assign V290817 = V600405. assign V919780 = V122786. assign V382465 = V391766. assign V693418 = V068268. assign V457600 = V583203 - 1. assign V476640 = V578246 + 1. assign V004716 = V638189 + 1. assign V106212 = V684318. assign V950971 = V933602. assign V732450 = V590545 + 1. assign V419375 = V471655 + 1. assign V040321 = V156742. assign V642898 = V706330. assign V003964 = V537794. assign V448382 = V696693 - 1. assign V465841 = V037269. assign V472989 = V706330. assign V684318 = V687319. assign V578246 = V514782 + 1. assign V786337 = V210904 - 1. assign V132060 = V564409 + 1. assign V934703 = V156742. assign V171859 = V687319 + 1. assign V741501 = V916877. assign V691987 = V348972. assign V006858 = V590545 - 1. assign V681130 = V576971 + 1. assign V413580 = V732450 - 1. assign V115020 = V003964 + 1. assign V621849 = V837279. assign V582359 = V383867 - 1. assign V005602 = V244837 - 1. assign V687319 = V370010. assign V199236 = V458730. assign V266725 = V916877 - 1. assign V957899 = V549982 + 1. assign V210678 = V638189 - 1. assign V631711 = V010598 + 1. assign V238821 = V044054 - 1. assign V335517 = V162050 - 1. assign V837279 = V793258 + 1. assign V726835 = V268871 - 1. assign V493189 = V342968 - 1. assign V154205 = V237621. assign V888829 = V819957 + 1. assign V757946 = V983721 + 1. assign V590171 = V534040. assign V406695 = V664760. assign V063366 = V413580 + 1. assign V348972 = V889410 - 1. assign V819957 = V324441 - 1. assign V813987 = V723343. assign V979190 = V431079 + 1. assign V559865 = V143357 - 1. assign V624466 = V494981 - 1. assign V497202 = V600693. assign V044054 = V916877. assign V254939 = V874872 - 1. assign V731937 = V215709 - 1. assign V151660 = V694270 - 1. assign V833382 = V657415. assign V165169 = V975963 - 1. assign V807579 = V063366. assign V188965 = V600693 - 1. assign V284898 = V351225 - 1. assign V770079 = V494981 - 1. assign V664760 = V268871 - 1. assign V631698 = V348566. assign V244944 = V483293 - 1. assign V517829 = V483293. assign V415792 = V324441. assign V336711 = V060526. assign V514782 = V199236 + 1. assign V608153 = V370010. assign V746433 = V559865 - 1. assign V153953 = V270540. assign V939659 = V809275 + 1. assign V701925 = V370010 + 1. assign V809275 = V114013 + 1. assign V939289 = V732777. assign V290598 = V809275 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V645436 = V465684 - 1. assign V318849 = V163214 + 1. assign V068268 = V439426 - 1. assign V583203 = V037269 - 1. assign V867615 = V439426. assign V520420 = V111558. assign V267790 = V732777 - 1. assign V243015 = V078304 - 1. assign V931107 = V439426 - 1. assign V322537 = V375925 + 1. assign V836621 = V496488. assign V766294 = V757946. assign V781231 = V732777 + 1. assign V105372 = V983721 - 1. assign V721315 = V841414 - 1. assign V279988 = V687086 + 1. assign V273052 = V590545 - 1. assign V739526 = V915808. assign V644630 = V318849 + 1. assign V706330 = V114013. assign V043466 = V471742 - 1. assign V506664 = V516593 - 1. assign V147297 = 9. assign V418900 = V153953 + 1. assign V657415 = V458730 - 1. assign V587777 = V063366. assign V950181 = V238821 - 1. assign V916877 = V793258. assign V506827 = V456343. assign V518220 = V268871. assign V815650 = V348566. assign V153071 = V947432 - 1. assign V500684 = V068268 - 1. assign V435865 = V446471 - 1. assign V696693 = V728360 + 1. assign V464354 = V608153 - 1. assign V736860 = V338490 - 1. assign V934368 = V600693 - 1. assign V920047 = V657415 + 1. assign V424068 = V590171 + 1. assign V156742 = V975963 - 1. assign V031996 = V044152. assign V297624 = V713236 + 1. assign V327867 = V693418. assign V421486 = V965838 - 1. assign V572724 = V290598 - 1. assign V270540 = V143357. assign V821402 = V806374 - 1. assign V023365 = V496488 - 1. assign V461840 = V124045 + 1. assign V933602 = V151660. assign V966846 = V947440. assign V266297 = V939659. assign V042677 = V947440. assign V002862 = V608153 + 1. assign V905610 = V809275 + 1. assign V385073 = V029385 + 1. assign V068911 = V872327. assign V145196 = V465684. assign V444816 = V691987. assign V135630 = V819957. assign V684229 = V576971. assign V461943 = V324441 - 1. assign V319921 = V888829 + 1. assign V244837 = V370010. assign V732777 = V916877. assign V180750 = V268871 + 1. assign V490455 = V807579 + 1. assign V025347 = V953732 - 1. assign V025316 = V013400 - 1. assign V197980 = V815650 + 1. assign V082423 = V072440 - 1. assign V465684 = V755214 + 1. assign V348566 = V494981 + 1. assign V273857 = V792274 + 1. assign V363696 = V060526 + 1. assign V077197 = V151194. assign V228285 = V933602 - 1. assign V501129 = V687718 + 1. assign V029385 = V939659 - 1. assign V364143 = V975963 - 1. assign V114013 = V151194. assign V549982 = V268871. assign V600693 = V809275. assign V458730 = V413580 + 1. assign V844013 = V518034. assign V320264 = V975963 + 1. assign V243310 = V471742 - 1. assign V982003 = V889410 - 1. assign V723343 = V266297 + 1. assign V476205 = V267790. assign V853522 = V973558 + 1. assign V456343 = V737130 + 1. assign V546638 = V284898 + 1. assign V915808 = V529502 - 1. assign V782118 = V888829 - 1. assign V874308 = V514782. assign V072440 = V600693 - 1. assign V131971 = V180750 + 1. assign V793258 = V324441 - 1. assign V953732 = V590545. assign V220756 = V114013 - 1. assign V237621 = V483293 - 1. assign V118908 = V841414 + 1. assign V874872 = V590545 + 1. assign V044152 = V807579 + 1. assign V013400 = V270524 - 1. assign V841414 = V147297 + 1. assign V446471 = V348972. assign V072456 = V809275 - 1. assign V537794 = V518034. assign V005193 = V757946 + 1. assign V316794 = V782636 + 1. assign V150602 = V687718 + 1. assign V713236 = V559865. assign V341465 = V151194 + 1. assign V210904 = V732777 + 1. assign V898887 = V439426. assign V498620 = V546672 + 1. assign V564409 = V590545 + 1. assign V128800 = V336711 + 1. assign V343623 = V786337. assign V736580 = V888829 + 1. assign V111558 = V290598. assign V261434 = V819957 + 1. assign V983721 = V867615 + 1. assign V902659 = V905610. assign V342968 = V982003 + 1. assign V391766 = V405071 + 1. assign V882920 = V973558 + 1. assign V529502 = V324441. assign V546672 = V514782. assign V078304 = V741501 + 1. assign V143357 = V807579. assign V351225 = V114013 - 1. assign V687086 = V496488 + 1. assign V889410 = V324441 - 1. assign V313581 = V657415 - 1. assign V048175 = V259099 - 1. assign V162050 = V313581 + 1. assign V599902 = V537794 + 1. assign V151678 = V485960 + 1. assign V093298 = V874308 + 1. assign V354439 = V693418 + 1. assign V806374 = V273052 - 1. assign V324441 = V590545 + 1. assign V782636 = V792274. assign V448483 = V590545 + 1. assign V414622 = V351225. assign V975963 = V953732 - 1. assign V638189 = V244944 - 1. assign V911085 = V713236 + 1. assign V939320 = V068268 + 1. assign V576971 = V461943 - 1. assign V330213 = V023365 + 1. assign V947440 = V063366. assign V613303 = V243310. assign V472240 = V564409 - 1. assign V795524 = V979462 + 1. assign V823696 = V244944 + 1. assign V496488 = V472240 - 1. assign V822336 = V546638 + 1. assign V122786 = V044054 + 1. assign V496830 = V874872 - 1. assign V571251 = V461943 + 1. assign V286327 = V063366 + 1. assign V315771 = V514782 + 1. assign V338490 = V819957. assign V483739 = V375925. assign V859677 = V082423. assign V548588 = V118908. assign V485960 = V934368 + 1. assign V983597 = V003964. assign V805300 = V600693 + 1. assign V182004 = V916877 - 1. assign V600405 = V807579 - 1. assign V387445 = V273052 - 1. assign V944665 = V153071 + 1. assign V383867 = V156742 - 1. assign V431079 = V934368 + 1. assign V947432 = V916877 - 1. assign V284899 = V691987 + 1. assign V537984 = V915808. assign V737109 = V781231 + 1. assign V901066 = V122786 + 1. assign V282689 = V514782 + 1. assign V929934 = V351225 + 1. assign V903570 = V472240. assign V904997 = V029385 + 1. assign V590771 = V237621 - 1. assign V010598 = V132060. assign V124045 = V874872. assign V344297 = V815650 + 1. assign V586112 = V713236. assign V950120 = V905176. assign V804574 = V318849 - 1. assign V534040 = V836621 + 1. assign V648454 = V132060. assign V471655 = V755214. assign V941546 = V564409 + 1. assign V824427 = V874308 - 1. assign V940342 = V072456. assign V893226 = V735617. assign V797049 = V786337 - 1. assign V586903 = V476205 - 1. assign V516593 = V063366 - 1. assign V966280 = V335517 - 1. assign V838180 = V336711 - 1. assign V531969 = V151194. assign V979462 = V496488 + 1. assign V579780 = V493189 - 1. assign V755214 = V266725. assign V518034 = V529502. assign V682231 = V324441 + 1. assign V405071 = V638189. assign V317713 = V238821 + 1. assign V437624 = V485960. assign V430997 = V151194 + 1. assign V375925 = V315771 + 1. assign V268871 = V072440 + 1. assign V861326 = V736580 + 1. assign V483293 = V413580 + 1. assign V045421 = V153071. assign V114250 = V244944 + 1. assign V735617 = V975963 + 1. assign V991622 = V806374 + 1. assign V792274 = V721315 + 1. assign V926265 = V054536 - 1. assign V737130 = V004716 - 1. assign V259099 = V953732 + 1. assign V539827 = V786337 + 1. assign V366304 = V944665 - 1. assign V965838 = V514782 - 1. assign V054536 = V290598 + 1. assign V449458 = V859677 + 1. assign V060526 = V237621 + 1. assign V694270 = V920047. assign V215709 = V624466 - 1. assign V728360 = V687718. assign V872327 = V228355. assign V179722 = V691987 - 1. assign V270524 = V684318 - 1. assign V786719 = V461943 + 1. assign V973558 = V701925 + 1. assign V653467 = V259099 + 1. assign V153719 = V934703 - 1. assign V937922 = V546638 + 1. assign V228355 = V448483 - 1. assign V687718 = V135630 - 1. assign V017890 = V025347 - 1. assign V369048 = V290817 - 1. assign V053367 = V210904 + 1. assign V439426 = V324441 + 1. assign V450932 = V348566 + 1. assign V370010 = V237621 + 1. assign V597495 = V841414. assign V718499 = V590545 + 1. assign V111103 = V872327 + 1. assign V494981 = V713236. assign V938803 = V006858 + 1. assign V837384 = V934703 - 1. assign V037269 = V517829 + 1. assign V163214 = V920047 + 1. assign V471742 = V693418 - 1. assign V976687 = V439426. assign V303411 = V537794. assign V151194 = V889410 + 1. assign V547476 = V199236 + 1. assign V905176 = V938803. assign V513415 = V844013 + 1. assign V290817 = V600405. assign V919780 = V122786. assign V382465 = V391766. assign V693418 = V068268. assign V457600 = V583203 - 1. assign V476640 = V578246 + 1. assign V004716 = V638189 + 1. assign V106212 = V684318. assign V950971 = V933602. assign V732450 = V590545 + 1. assign V419375 = V471655 + 1. assign V040321 = V156742. assign V642898 = V706330. assign V003964 = V537794. assign V448382 = V696693 - 1. assign V465841 = V037269. assign V472989 = V706330. assign V684318 = V687319. assign V578246 = V514782 + 1. assign V786337 = V210904 - 1. assign V132060 = V564409 + 1. assign V934703 = V156742. assign V171859 = V687319 + 1. assign V741501 = V916877. assign V691987 = V348972. assign V006858 = V590545 - 1. assign V681130 = V576971 + 1. assign V413580 = V732450 - 1. assign V115020 = V003964 + 1. assign V621849 = V837279. assign V582359 = V383867 - 1. assign V005602 = V244837 - 1. assign V687319 = V370010. assign V199236 = V458730. assign V266725 = V916877 - 1. assign V957899 = V549982 + 1. assign V210678 = V638189 - 1. assign V631711 = V010598 + 1. assign V238821 = V044054 - 1. assign V335517 = V162050 - 1. assign V837279 = V793258 + 1. assign V726835 = V268871 - 1. assign V493189 = V342968 - 1. assign V154205 = V237621. assign V888829 = V819957 + 1. assign V757946 = V983721 + 1. assign V590171 = V534040. assign V406695 = V664760. assign V063366 = V413580 + 1. assign V348972 = V889410 - 1. assign V819957 = V324441 - 1. assign V813987 = V723343. assign V979190 = V431079 + 1. assign V559865 = V143357 - 1. assign V624466 = V494981 - 1. assign V497202 = V600693. assign V044054 = V916877. assign V254939 = V874872 - 1. assign V731937 = V215709 - 1. assign V151660 = V694270 - 1. assign V833382 = V657415. assign V165169 = V975963 - 1. assign V807579 = V063366. assign V188965 = V600693 - 1. assign V284898 = V351225 - 1. assign V770079 = V494981 - 1. assign V664760 = V268871 - 1. assign V631698 = V348566. assign V244944 = V483293 - 1. assign V517829 = V483293. assign V415792 = V324441. assign V336711 = V060526. assign V514782 = V199236 + 1. assign V608153 = V370010. assign V746433 = V559865 - 1. assign V153953 = V270540. assign V939659 = V809275 + 1. assign V701925 = V370010 + 1. assign V809275 = V114013 + 1. assign V939289 = V732777. assign V290598 = V809275 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV147297 = 9;\n\nFrom these direct assignment(s), we have: \nV841414 = V147297 + 1 = 9 + 1 =10;\nV597495 = V841414 = 10;\nNo other varaibles can be derived from V597495;\nV118908 = V841414 + 1 = 10 + 1 =11;\nV548588 = V118908 = 11;\nNo other varaibles can be derived from V548588;\nNo other varaibles can be derived from V118908;\nV721315 = V841414 - 1 = 10 - 1 =9;\nV792274 = V721315 + 1 = 9 + 1 =10;\nV782636 = V792274 = 10;\nV316794 = V782636 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V316794;\nNo other varaibles can be derived from V782636;\nV273857 = V792274 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V273857;\nNo other varaibles can be derived from V792274;\nNo other varaibles can be derived from V721315;\nNo other varaibles can be derived from V841414;\nNo other varaibles can be derived from V147297;\n\nNow we have done all the calculations. Derived variables are:\nV147297 = 9;\nV841414 = 10;\nV597495 = 10;\nV118908 = 11;\nV548588 = 11;\nV721315 = 9;\nV792274 = 10;\nV782636 = 10;\nV316794 = 11;\nV273857 = 11;\n\nNow we have finished this problem. ANSWER:\nV118908, V548588, V316794, V273857\n", "role": "assistant" } ]

[ "V088032", "V869814", "V535306" ]

[ { "content": "<context>\nassign V781331 = V678607 + 1. assign V990960 = V146311 + 1. assign V768550 = V808966 + 1. assign V926080 = V976287. assign V650009 = V728366 - 1. assign V350682 = V941927. assign V283229 = V437017. assign V388192 = V802306 - 1. assign V815433 = V524732 - 1. assign V460261 = V742728 - 1. assign V120820 = V841111 + 1. assign V872869 = V941927 - 1. assign V857279 = V891667 - 1. assign V060890 = V693844 + 1. assign V428825 = V146311 + 1. assign V216214 = V207918. assign V905988 = V035493 + 1. assign V826214 = V333286. assign V468621 = V467820. assign V278775 = V514334. assign V207918 = V857279. assign V502646 = V540587. assign V692571 = V230241. assign V274910 = V534244. assign V618360 = V725521 - 1. assign V936004 = V807840 + 1. assign V850679 = V239554 - 1. assign V250590 = V382804. assign V137958 = V716983 + 1. assign V725455 = V560777 - 1. assign V375761 = V873341. assign V444518 = V787981 + 1. assign V198526 = V851750. assign V185762 = V756516 - 1. assign V322161 = V788064 + 1. assign V981800 = V955037 + 1. assign V687524 = V976287. assign V329382 = V644495 - 1. assign V915106 = V813680 - 1. assign V898231 = V609246. assign V032216 = V905988 + 1. assign V273025 = V773156. assign V534244 = V306566 + 1. assign V208339 = V709751 - 1. assign V991190 = V617538. assign V548940 = V283229 + 1. assign V215634 = V322161 + 1. assign V035482 = V161536 + 1. assign V376854 = V446175. assign V797714 = V915106 + 1. assign V470211 = V170012. assign V954308 = V329382 - 1. assign V508453 = V802306 - 1. assign V016976 = V802306. assign V883608 = V341910 + 1. assign V929495 = V873341 + 1. assign V399780 = V689029 + 1. assign V570479 = V846937 + 1. assign V659099 = V588173 + 1. assign V450143 = V209654 + 1. assign V800279 = V773156 + 1. assign V149383 = V071846. assign V935878 = V680119 + 1. assign V537739 = V146311 + 1. assign V422179 = V167249. assign V741516 = V713336 - 1. assign V372110 = V208339. assign V976287 = V702138 + 1. assign V689029 = V799641. assign V853824 = V898231. assign V540587 = V559413 + 1. assign V944816 = V703257. assign V057517 = V133605. assign V208582 = V611310 + 1. assign V680119 = V167249. assign V429224 = V709751. assign V650250 = V991190 + 1. assign V405528 = V446175 + 1. assign V257419 = V898231 - 1. assign V035493 = V611310 + 1. assign V209654 = V060890. assign V518118 = V388192 - 1. assign V787981 = V693844 + 1. assign V314864 = V283229 + 1. assign V161536 = V320536. assign V738319 = V891667 - 1. assign V600560 = V798022. assign V851750 = V808966. assign V386070 = V805130 + 1. assign V631117 = V825355. assign V990629 = V460261 + 1. assign V099085 = V909404. assign V766608 = V555549 + 1. assign V108317 = V023172 - 1. assign V685919 = V617538 - 1. assign V514631 = V230241 + 1. assign V187760 = V891667. assign V371826 = V485813 + 1. assign V359116 = V391721. assign V831645 = V542750 - 1. assign V611310 = V857279 + 1. assign V583329 = V609246 - 1. assign V634138 = V185737 + 1. assign V841111 = V405528 + 1. assign V306566 = V630486 - 1. assign V513981 = V926080 - 1. assign V084102 = V277750. assign V662210 = V032216 - 1. assign V000014 = V872869 - 1. assign V060494 = V542750. assign V559413 = V787981. assign V832226 = V322161 - 1. assign V434970 = V294566. assign V642096 = V873341 - 1. assign V790388 = V983786 - 1. assign V569511 = V857279. assign V537052 = V246436. assign V825355 = V638932. assign V121509 = V702138 - 1. assign V015968 = V408532 - 1. assign V931754 = V766608 - 1. assign V469713 = V155017. assign V810147 = V479178. assign V042811 = V542750. assign V891667 = V689029 + 1. assign V941927 = V609246. assign V725521 = V031937. assign V542750 = V709751 + 1. assign V355169 = V032216. assign V875312 = V382804 + 1. assign V040604 = V650250 - 1. assign V975541 = V941927 + 1. assign V884283 = V781331. assign V306370 = V853787 - 1. assign V439114 = V355169. assign V713336 = V304434 + 1. assign V065892 = V873341 - 1. assign V651191 = V583329. assign V031937 = V689029 - 1. assign V666516 = V538541. assign V124778 = V122166 + 1. assign V609246 = V799641 + 1. assign V039063 = V187995 + 1. assign V176465 = V685643 + 1. assign V196833 = V590367 - 1. assign V043754 = V320536. assign V525959 = V600210 - 1. assign V682918 = V265681. assign V484377 = V159655 - 1. assign V600210 = V808413 - 1. assign V909404 = V538541 + 1. assign V825536 = V534244. assign V726210 = V207918 - 1. assign V485813 = V787981 - 1. assign V159655 = V934487 + 1. assign V620168 = V322330 - 1. assign V693844 = V609246 - 1. assign V270847 = V194193 - 1. assign V482993 = V805130 - 1. assign V382804 = V157382 - 1. assign V408532 = V893264 - 1. assign V341910 = V084834. assign V194387 = V703257. assign V969590 = V121509 + 1. assign V265681 = V012614. assign V667040 = V294566. assign V467820 = V709751. assign V468116 = V738319 + 1. assign V893264 = V826214 + 1. assign V934487 = V693844 - 1. assign V227307 = V429224. assign V805130 = V620168 + 1. assign V617538 = V702138 - 1. assign V290858 = V846937. assign V230241 = V485813 - 1. assign V570694 = V227307 - 1. assign V981737 = V341910. assign V446175 = V926080. assign V032958 = V601579. assign V983786 = V991190 - 1. assign V215341 = V570479. assign V051668 = V630486 + 1. assign V056395 = V926080 + 1. assign V529668 = V808413. assign V628779 = V290858 + 1. assign V127831 = V186338 + 1. assign V860225 = V975541. assign V524732 = V031937 + 1. assign V656672 = V012614 + 1. assign V588173 = V127831 + 1. assign V122166 = V052003 + 1. assign V448739 = V945369 - 1. assign V702138 = V609246 + 1. assign V736531 = V766608 - 1. assign V764722 = V583329 + 1. assign V282143 = V781331. assign V278448 = V705258 + 1. assign V762037 = V437017 + 1. assign V807840 = V768550 - 1. assign V626376 = V314864 + 1. assign V238097 = V702138 + 1. assign V918600 = V975541 + 1. assign V186338 = V832226 - 1. assign V689039 = V705195 + 1. assign V304434 = V273025 + 1. assign V391721 = V853824 + 1. assign V660251 = V009702 + 1. assign V773156 = V799641 + 1. assign V088139 = V983786 + 1. assign V869814 = V443664 - 1. assign V395076 = V033596 + 1. assign V189760 = V238097. assign V075622 = V570479 + 1. assign V788064 = V086776 + 1. assign V705258 = V018229. assign V311158 = V443664 + 1. assign V472801 = V626376 + 1. assign V756516 = V705195. assign V597066 = V146311 - 1. assign V088032 = 1. assign V437017 = V702138 + 1. assign V770395 = V306566. assign V152146 = V872869 - 1. assign V678834 = V678607 + 1. assign V335956 = V055310 - 1. assign V590367 = V609246 + 1. assign V361894 = V787981. assign V187474 = V146311 + 1. assign V413573 = V628779. assign V639612 = V273025. assign V296622 = V736531. assign V236314 = V537052. assign V478262 = V617538 - 1. assign V479178 = V071846. assign V678607 = V685919 - 1. assign V443664 = V088032 + 1. assign V556597 = V525959. assign V023172 = V738319 + 1. assign V853787 = V850679. assign V348634 = V009702 - 1. assign V239554 = V891667 + 1. assign V179464 = V693844 - 1. assign V128758 = V071846 + 1. assign V955037 = V738319. assign V795466 = V086776 + 1. assign V236202 = V311158 + 1. assign V086776 = V941927. assign V626264 = V891667 + 1. assign V698182 = V570479 - 1. assign V792208 = V832226 + 1. assign V630486 = V891667 + 1. assign V683566 = V742728 - 1. assign V568398 = V134168 - 1. assign V740988 = V446175. assign V760597 = V802306. assign V644495 = V283229 - 1. assign V125580 = V031937 + 1. assign V853684 = V429224 + 1. assign V751279 = V051668. assign V676579 = V857279 + 1. assign V322330 = V322161. assign V155017 = V850679 + 1. assign V825556 = V807840 - 1. assign V074298 = V333286. assign V802306 = V891667. assign V685643 = V159655 + 1. assign V709751 = V650250 + 1. assign V206256 = V278775 - 1. assign V742728 = V799641. assign V945369 = V630486 - 1. assign V756035 = V795466. assign V809132 = V915106 + 1. assign V808966 = V991190. assign V560777 = V304434. assign V001603 = V542750 - 1. assign V667333 = V388192 - 1. assign V167249 = V702138 + 1. assign V555549 = V846937 + 1. assign V349667 = V446175 + 1. assign V571246 = V891667. assign V873341 = V857279 + 1. assign V295677 = V000014 - 1. assign V601579 = V689029 + 1. assign V033596 = V032958 + 1. assign V099424 = V238097 - 1. assign V333286 = V437017 - 1. assign V462661 = V238097 + 1. assign V009702 = V265681 - 1. assign V846937 = V609246. assign V676644 = V826214 + 1. assign V308099 = V918600. assign V194193 = V918600 + 1. assign V071846 = V742728 - 1. assign V569155 = V479178 - 1. assign V134168 = V448739 - 1. assign V383042 = V597066 - 1. assign V159583 = V133605. assign V170012 = V478262. assign V348554 = V443664. assign V578219 = V187760 + 1. assign V001908 = V983786 - 1. assign V136575 = V208339. assign V725686 = V798022 - 1. assign V808413 = V799641. assign V727079 = V023172 - 1. assign V196942 = V443664. assign V050145 = V560777 - 1. assign V631020 = V385624 - 1. assign V594144 = V405528 + 1. assign V747408 = V508453. assign V294566 = V716983 + 1. assign V703257 = V941927 + 1. assign V185737 = V537739 - 1. assign V798022 = V550019 + 1. assign V010268 = V480179 + 1. assign V277750 = V186338. assign V320536 = V898231 + 1. assign V316292 = V391721. assign V018229 = V335956. assign V468854 = V644495 + 1. assign V012614 = V799641 - 1. assign V246436 = V460261 + 1. assign V728366 = V290858 - 1. assign V552662 = V086776 + 1. assign V813680 = V446175 - 1. assign V952281 = V651191. assign V514334 = V121509 + 1. assign V187995 = V134168. assign V602984 = V015968 + 1. assign V487348 = V460261 + 1. assign V385624 = V236202. assign V716983 = V308099. assign V535306 = V348554 - 1. assign V133605 = V846937. assign V413556 = V265681 + 1. assign V055310 = V537739 + 1. assign V396360 = V685919 + 1. assign V880423 = V437017 - 1. assign V157382 = V283229. assign V148771 = V703257. assign V052003 = V322161 + 1. assign V638932 = V685919 + 1. assign V536953 = V680119 + 1. assign V705195 = V918600. assign V146311 = V808413 + 1. assign V700059 = V124778. assign V084834 = V031937. assign V538541 = V239554 + 1. assign V550019 = V891667 + 1. assign V471581 = V265681 + 1. assign V480179 = V832226 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V781331 = V678607 + 1. assign V990960 = V146311 + 1. assign V768550 = V808966 + 1. assign V926080 = V976287. assign V650009 = V728366 - 1. assign V350682 = V941927. assign V283229 = V437017. assign V388192 = V802306 - 1. assign V815433 = V524732 - 1. assign V460261 = V742728 - 1. assign V120820 = V841111 + 1. assign V872869 = V941927 - 1. assign V857279 = V891667 - 1. assign V060890 = V693844 + 1. assign V428825 = V146311 + 1. assign V216214 = V207918. assign V905988 = V035493 + 1. assign V826214 = V333286. assign V468621 = V467820. assign V278775 = V514334. assign V207918 = V857279. assign V502646 = V540587. assign V692571 = V230241. assign V274910 = V534244. assign V618360 = V725521 - 1. assign V936004 = V807840 + 1. assign V850679 = V239554 - 1. assign V250590 = V382804. assign V137958 = V716983 + 1. assign V725455 = V560777 - 1. assign V375761 = V873341. assign V444518 = V787981 + 1. assign V198526 = V851750. assign V185762 = V756516 - 1. assign V322161 = V788064 + 1. assign V981800 = V955037 + 1. assign V687524 = V976287. assign V329382 = V644495 - 1. assign V915106 = V813680 - 1. assign V898231 = V609246. assign V032216 = V905988 + 1. assign V273025 = V773156. assign V534244 = V306566 + 1. assign V208339 = V709751 - 1. assign V991190 = V617538. assign V548940 = V283229 + 1. assign V215634 = V322161 + 1. assign V035482 = V161536 + 1. assign V376854 = V446175. assign V797714 = V915106 + 1. assign V470211 = V170012. assign V954308 = V329382 - 1. assign V508453 = V802306 - 1. assign V016976 = V802306. assign V883608 = V341910 + 1. assign V929495 = V873341 + 1. assign V399780 = V689029 + 1. assign V570479 = V846937 + 1. assign V659099 = V588173 + 1. assign V450143 = V209654 + 1. assign V800279 = V773156 + 1. assign V149383 = V071846. assign V935878 = V680119 + 1. assign V537739 = V146311 + 1. assign V422179 = V167249. assign V741516 = V713336 - 1. assign V372110 = V208339. assign V976287 = V702138 + 1. assign V689029 = V799641. assign V853824 = V898231. assign V540587 = V559413 + 1. assign V944816 = V703257. assign V057517 = V133605. assign V208582 = V611310 + 1. assign V680119 = V167249. assign V429224 = V709751. assign V650250 = V991190 + 1. assign V405528 = V446175 + 1. assign V257419 = V898231 - 1. assign V035493 = V611310 + 1. assign V209654 = V060890. assign V518118 = V388192 - 1. assign V787981 = V693844 + 1. assign V314864 = V283229 + 1. assign V161536 = V320536. assign V738319 = V891667 - 1. assign V600560 = V798022. assign V851750 = V808966. assign V386070 = V805130 + 1. assign V631117 = V825355. assign V990629 = V460261 + 1. assign V099085 = V909404. assign V766608 = V555549 + 1. assign V108317 = V023172 - 1. assign V685919 = V617538 - 1. assign V514631 = V230241 + 1. assign V187760 = V891667. assign V371826 = V485813 + 1. assign V359116 = V391721. assign V831645 = V542750 - 1. assign V611310 = V857279 + 1. assign V583329 = V609246 - 1. assign V634138 = V185737 + 1. assign V841111 = V405528 + 1. assign V306566 = V630486 - 1. assign V513981 = V926080 - 1. assign V084102 = V277750. assign V662210 = V032216 - 1. assign V000014 = V872869 - 1. assign V060494 = V542750. assign V559413 = V787981. assign V832226 = V322161 - 1. assign V434970 = V294566. assign V642096 = V873341 - 1. assign V790388 = V983786 - 1. assign V569511 = V857279. assign V537052 = V246436. assign V825355 = V638932. assign V121509 = V702138 - 1. assign V015968 = V408532 - 1. assign V931754 = V766608 - 1. assign V469713 = V155017. assign V810147 = V479178. assign V042811 = V542750. assign V891667 = V689029 + 1. assign V941927 = V609246. assign V725521 = V031937. assign V542750 = V709751 + 1. assign V355169 = V032216. assign V875312 = V382804 + 1. assign V040604 = V650250 - 1. assign V975541 = V941927 + 1. assign V884283 = V781331. assign V306370 = V853787 - 1. assign V439114 = V355169. assign V713336 = V304434 + 1. assign V065892 = V873341 - 1. assign V651191 = V583329. assign V031937 = V689029 - 1. assign V666516 = V538541. assign V124778 = V122166 + 1. assign V609246 = V799641 + 1. assign V039063 = V187995 + 1. assign V176465 = V685643 + 1. assign V196833 = V590367 - 1. assign V043754 = V320536. assign V525959 = V600210 - 1. assign V682918 = V265681. assign V484377 = V159655 - 1. assign V600210 = V808413 - 1. assign V909404 = V538541 + 1. assign V825536 = V534244. assign V726210 = V207918 - 1. assign V485813 = V787981 - 1. assign V159655 = V934487 + 1. assign V620168 = V322330 - 1. assign V693844 = V609246 - 1. assign V270847 = V194193 - 1. assign V482993 = V805130 - 1. assign V382804 = V157382 - 1. assign V408532 = V893264 - 1. assign V341910 = V084834. assign V194387 = V703257. assign V969590 = V121509 + 1. assign V265681 = V012614. assign V667040 = V294566. assign V467820 = V709751. assign V468116 = V738319 + 1. assign V893264 = V826214 + 1. assign V934487 = V693844 - 1. assign V227307 = V429224. assign V805130 = V620168 + 1. assign V617538 = V702138 - 1. assign V290858 = V846937. assign V230241 = V485813 - 1. assign V570694 = V227307 - 1. assign V981737 = V341910. assign V446175 = V926080. assign V032958 = V601579. assign V983786 = V991190 - 1. assign V215341 = V570479. assign V051668 = V630486 + 1. assign V056395 = V926080 + 1. assign V529668 = V808413. assign V628779 = V290858 + 1. assign V127831 = V186338 + 1. assign V860225 = V975541. assign V524732 = V031937 + 1. assign V656672 = V012614 + 1. assign V588173 = V127831 + 1. assign V122166 = V052003 + 1. assign V448739 = V945369 - 1. assign V702138 = V609246 + 1. assign V736531 = V766608 - 1. assign V764722 = V583329 + 1. assign V282143 = V781331. assign V278448 = V705258 + 1. assign V762037 = V437017 + 1. assign V807840 = V768550 - 1. assign V626376 = V314864 + 1. assign V238097 = V702138 + 1. assign V918600 = V975541 + 1. assign V186338 = V832226 - 1. assign V689039 = V705195 + 1. assign V304434 = V273025 + 1. assign V391721 = V853824 + 1. assign V660251 = V009702 + 1. assign V773156 = V799641 + 1. assign V088139 = V983786 + 1. assign V869814 = V443664 - 1. assign V395076 = V033596 + 1. assign V189760 = V238097. assign V075622 = V570479 + 1. assign V788064 = V086776 + 1. assign V705258 = V018229. assign V311158 = V443664 + 1. assign V472801 = V626376 + 1. assign V756516 = V705195. assign V597066 = V146311 - 1. assign V088032 = 1. assign V437017 = V702138 + 1. assign V770395 = V306566. assign V152146 = V872869 - 1. assign V678834 = V678607 + 1. assign V335956 = V055310 - 1. assign V590367 = V609246 + 1. assign V361894 = V787981. assign V187474 = V146311 + 1. assign V413573 = V628779. assign V639612 = V273025. assign V296622 = V736531. assign V236314 = V537052. assign V478262 = V617538 - 1. assign V479178 = V071846. assign V678607 = V685919 - 1. assign V443664 = V088032 + 1. assign V556597 = V525959. assign V023172 = V738319 + 1. assign V853787 = V850679. assign V348634 = V009702 - 1. assign V239554 = V891667 + 1. assign V179464 = V693844 - 1. assign V128758 = V071846 + 1. assign V955037 = V738319. assign V795466 = V086776 + 1. assign V236202 = V311158 + 1. assign V086776 = V941927. assign V626264 = V891667 + 1. assign V698182 = V570479 - 1. assign V792208 = V832226 + 1. assign V630486 = V891667 + 1. assign V683566 = V742728 - 1. assign V568398 = V134168 - 1. assign V740988 = V446175. assign V760597 = V802306. assign V644495 = V283229 - 1. assign V125580 = V031937 + 1. assign V853684 = V429224 + 1. assign V751279 = V051668. assign V676579 = V857279 + 1. assign V322330 = V322161. assign V155017 = V850679 + 1. assign V825556 = V807840 - 1. assign V074298 = V333286. assign V802306 = V891667. assign V685643 = V159655 + 1. assign V709751 = V650250 + 1. assign V206256 = V278775 - 1. assign V742728 = V799641. assign V945369 = V630486 - 1. assign V756035 = V795466. assign V809132 = V915106 + 1. assign V808966 = V991190. assign V560777 = V304434. assign V001603 = V542750 - 1. assign V667333 = V388192 - 1. assign V167249 = V702138 + 1. assign V555549 = V846937 + 1. assign V349667 = V446175 + 1. assign V571246 = V891667. assign V873341 = V857279 + 1. assign V295677 = V000014 - 1. assign V601579 = V689029 + 1. assign V033596 = V032958 + 1. assign V099424 = V238097 - 1. assign V333286 = V437017 - 1. assign V462661 = V238097 + 1. assign V009702 = V265681 - 1. assign V846937 = V609246. assign V676644 = V826214 + 1. assign V308099 = V918600. assign V194193 = V918600 + 1. assign V071846 = V742728 - 1. assign V569155 = V479178 - 1. assign V134168 = V448739 - 1. assign V383042 = V597066 - 1. assign V159583 = V133605. assign V170012 = V478262. assign V348554 = V443664. assign V578219 = V187760 + 1. assign V001908 = V983786 - 1. assign V136575 = V208339. assign V725686 = V798022 - 1. assign V808413 = V799641. assign V727079 = V023172 - 1. assign V196942 = V443664. assign V050145 = V560777 - 1. assign V631020 = V385624 - 1. assign V594144 = V405528 + 1. assign V747408 = V508453. assign V294566 = V716983 + 1. assign V703257 = V941927 + 1. assign V185737 = V537739 - 1. assign V798022 = V550019 + 1. assign V010268 = V480179 + 1. assign V277750 = V186338. assign V320536 = V898231 + 1. assign V316292 = V391721. assign V018229 = V335956. assign V468854 = V644495 + 1. assign V012614 = V799641 - 1. assign V246436 = V460261 + 1. assign V728366 = V290858 - 1. assign V552662 = V086776 + 1. assign V813680 = V446175 - 1. assign V952281 = V651191. assign V514334 = V121509 + 1. assign V187995 = V134168. assign V602984 = V015968 + 1. assign V487348 = V460261 + 1. assign V385624 = V236202. assign V716983 = V308099. assign V535306 = V348554 - 1. assign V133605 = V846937. assign V413556 = V265681 + 1. assign V055310 = V537739 + 1. assign V396360 = V685919 + 1. assign V880423 = V437017 - 1. assign V157382 = V283229. assign V148771 = V703257. assign V052003 = V322161 + 1. assign V638932 = V685919 + 1. assign V536953 = V680119 + 1. assign V705195 = V918600. assign V146311 = V808413 + 1. assign V700059 = V124778. assign V084834 = V031937. assign V538541 = V239554 + 1. assign V550019 = V891667 + 1. assign V471581 = V265681 + 1. assign V480179 = V832226 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV088032 = 1;\n\nFrom these direct assignment(s), we have: \nV443664 = V088032 + 1 = 1 + 1 =2;\nV196942 = V443664 = 2;\nNo other varaibles can be derived from V196942;\nV348554 = V443664 = 2;\nV535306 = V348554 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V535306;\nNo other varaibles can be derived from V348554;\nV311158 = V443664 + 1 = 2 + 1 =3;\nV236202 = V311158 + 1 = 3 + 1 =4;\nV385624 = V236202 = 4;\nV631020 = V385624 - 1 = 4 - 1 =3;\nNo other varaibles can be derived from V631020;\nNo other varaibles can be derived from V385624;\nNo other varaibles can be derived from V236202;\nNo other varaibles can be derived from V311158;\nV869814 = V443664 - 1 = 2 - 1 =1;\nNo other varaibles can be derived from V869814;\nNo other varaibles can be derived from V443664;\nNo other varaibles can be derived from V088032;\n\nNow we have done all the calculations. Derived variables are:\nV088032 = 1;\nV443664 = 2;\nV196942 = 2;\nV348554 = 2;\nV535306 = 1;\nV311158 = 3;\nV236202 = 4;\nV385624 = 4;\nV631020 = 3;\nV869814 = 1;\n\nNow we have finished this problem. ANSWER:\nV088032, V535306, V869814\n", "role": "assistant" } ]

[ "V845539", "V745046", "V881515" ]

[ { "content": "<context>\nassign V705013 = V276789 - 1. assign V532767 = V804389 + 1. assign V541046 = V585061 + 1. assign V535341 = V578413 + 1. assign V178996 = V945708 - 1. assign V714437 = V316090 + 1. assign V058376 = V665244 + 1. assign V708073 = V634550. assign V306575 = V518074 + 1. assign V899951 = V024670. assign V284923 = V018878 + 1. assign V291027 = V117277. assign V497178 = V276789. assign V713658 = V291027 - 1. assign V513274 = V184962. assign V266859 = V253718. assign V578413 = V439239 + 1. assign V081142 = V792584 + 1. assign V146116 = V756278 + 1. assign V073726 = V276789. assign V120349 = 5. assign V729486 = V031651 + 1. assign V936312 = V687949. assign V040946 = V367151 + 1. assign V380980 = V585620. assign V081378 = V681094 - 1. assign V291347 = V873706. assign V367151 = V560217 - 1. assign V182537 = V518074. assign V183516 = V831467. assign V392698 = V867294 + 1. assign V479920 = V898056. assign V042362 = V073726. assign V984389 = V865426. assign V439239 = V367575. assign V809096 = V560217 + 1. assign V609295 = V570651. assign V202411 = V459901 - 1. assign V873086 = V113549 + 1. assign V634550 = V401318 - 1. assign V301502 = V418233 + 1. assign V388503 = V479920 + 1. assign V977610 = V553806. assign V420576 = V355025 - 1. assign V940833 = V585695. assign V489935 = V183110 - 1. assign V238846 = V551587. assign V752829 = V747867 - 1. assign V798030 = V430491. assign V316790 = V940833 + 1. assign V850581 = V560217 + 1. assign V665244 = V102128. assign V062200 = V001556 + 1. assign V282376 = V940833. assign V764070 = V670825 + 1. assign V929943 = V792584 + 1. assign V344330 = V956898 + 1. assign V555092 = V909891 - 1. assign V113546 = V421006 - 1. assign V870894 = V181625. assign V466148 = V081142 + 1. assign V370553 = V447669. assign V465773 = V790692 - 1. assign V274474 = V182537 - 1. assign V476396 = V001556 + 1. assign V093793 = V850581. assign V867294 = V607377 + 1. assign V831467 = V183110 - 1. assign V031651 = V049518 + 1. assign V618008 = V759605 - 1. assign V518786 = V212194 + 1. assign V479211 = V672093. assign V469277 = V945708. assign V166982 = V146116 + 1. assign V459901 = V183516 - 1. assign V152842 = V907778. assign V687489 = V355025 - 1. assign V970021 = V738739. assign V874798 = V980362. assign V369692 = V553806 + 1. assign V244894 = V874798 - 1. assign V001971 = V938519. assign V439741 = V318909. assign V090281 = V845539 - 1. assign V316090 = V750109 + 1. assign V062497 = V763355. assign V013894 = V173896 + 1. assign V276789 = V102128 - 1. assign V979542 = V801761 + 1. assign V431917 = V355025 - 1. assign V880327 = V408661. assign V173896 = V570651 + 1. assign V117277 = V527322. assign V331579 = V943782 - 1. assign V381601 = V145820. assign V024670 = V607377. assign V447669 = V017507. assign V561657 = V430491 - 1. assign V146561 = V209718 + 1. assign V288362 = V401318 + 1. assign V340153 = V835672. assign V865134 = V750109 - 1. assign V874436 = V502254 - 1. assign V898056 = V609295 + 1. assign V237096 = V113549 + 1. assign V865426 = V984818 + 1. assign V553806 = V101657. assign V134518 = V128356 - 1. assign V945708 = V670825 + 1. assign V567056 = V392698. assign V053956 = V530628 + 1. assign V103867 = V117277 + 1. assign V276464 = V439239. assign V171040 = V102197. assign V674351 = V178996 + 1. assign V610633 = V392698. assign V101657 = V938519 - 1. assign V848858 = V367575 + 1. assign V089633 = V705013 + 1. assign V984818 = V101657 + 1. assign V909891 = V102128 - 1. assign V001723 = V439239. assign V928165 = V774882 + 1. assign V486710 = V593216. assign V940415 = V284923. assign V431330 = V212194 + 1. assign V476979 = V929943 - 1. assign V432212 = V585620 - 1. assign V769673 = V274474. assign V943782 = V714437 + 1. assign V713493 = V409188 + 1. assign V518074 = V291027 - 1. assign V774882 = V831467 + 1. assign V585620 = V316090 + 1. assign V728599 = V381601 - 1. assign V901707 = V672093. assign V297418 = V253718 - 1. assign V669769 = V870894 + 1. assign V181625 = V687949. assign V089736 = V408471 - 1. assign V570651 = V681094 - 1. assign V694169 = V401318 - 1. assign V000962 = V907778 - 1. assign V804389 = V049518. assign V881515 = V090281 + 1. assign V674289 = V103867 - 1. assign V502232 = V001971. assign V418342 = V634550 - 1. assign V418233 = V001971. assign V865528 = V928165 - 1. assign V845539 = V120349 + 1. assign V560217 = V181625 + 1. assign V170160 = V792435 - 1. assign V826056 = V062200. assign V049518 = V750109 + 1. assign V183110 = V938519. assign V763355 = V103867 + 1. assign V517263 = V049518 - 1. assign V729970 = V687949 + 1. assign V017540 = V291027 + 1. assign V196962 = V469277 + 1. assign V801761 = V432212. assign V941839 = V188650 - 1. assign V433240 = V938519 + 1. assign V848063 = V017507 + 1. assign V530628 = V774882 + 1. assign V017507 = V928165. assign V137421 = V681094 + 1. assign V409188 = V970021. assign V326886 = V284923 + 1. assign V184962 = V486710. assign V101426 = V585061. assign V981010 = V291027. assign V001556 = V113546 - 1. assign V416517 = V145820 - 1. assign V253718 = V090281. assign V647805 = V798191 - 1. assign V750109 = V101657 + 1. assign V673188 = V489935 + 1. assign V374593 = V585695 - 1. assign V504573 = V941839 - 1. assign V553950 = V713658 + 1. assign V916286 = V502254 + 1. assign V249638 = V303670 + 1. assign V275346 = V670825 - 1. assign V681094 = V276789 + 1. assign V322439 = V714437 - 1. assign V429758 = V863955. assign V155476 = V610633. assign V417450 = V354860 - 1. assign V550059 = V672897. assign V970291 = V798030 + 1. assign V445351 = V286888. assign V219521 = V938519. assign V367575 = V316090. assign V727478 = V038826 - 1. assign V392808 = V089633. assign V116704 = V408471. assign V374731 = V316090. assign V747867 = V940833. assign V828888 = V367575 - 1. assign V934301 = V945708 - 1. assign V688696 = V145910 + 1. assign V378211 = V585620. assign V980362 = V670825 - 1. assign V473011 = V745046 - 1. assign V686166 = V747867. assign V759605 = V271605 - 1. assign V919015 = V905606. assign V757209 = V940415 - 1. assign V223874 = V219521. assign V446267 = V318909 + 1. assign V248624 = V530628 - 1. assign V468683 = V518074 + 1. assign V811922 = V764070 - 1. assign V593216 = V183110. assign V013837 = V825472 + 1. assign V553828 = V433240. assign V264856 = V928165 - 1. assign V421006 = V497178. assign V204097 = V775411 - 1. assign V318909 = V831497. assign V893197 = V541046. assign V873706 = V902352 - 1. assign V792584 = V374731. assign V502254 = V276789 + 1. assign V028680 = V276789 + 1. assign V226925 = V694169 + 1. assign V721096 = V434886. assign V066248 = V828888. assign V673401 = V585620. assign V430491 = V705013 + 1. assign V045028 = V354860. assign V835672 = V874798 - 1. assign V902352 = V497178 - 1. assign V102128 = V938519 + 1. assign V038826 = V764070 - 1. assign V473646 = V965203. assign V046616 = V318909. assign V738739 = V831467 - 1. assign V825472 = V233974 + 1. assign V560178 = V774882 + 1. assign V432234 = V647805. assign V408433 = V282376. assign V954543 = V811922 + 1. assign V271605 = V318909 - 1. assign V885719 = V965203. assign V195122 = V212194 + 1. assign V982991 = V497178. assign V350396 = V282376 - 1. assign V831497 = V764070 + 1. assign V303670 = V902352. assign V607377 = V183110. assign V871656 = V874436. assign V947170 = V058376 - 1. assign V585695 = V527322 - 1. assign V354860 = V907778 + 1. assign V129807 = V940833. assign V286888 = V593216 - 1. assign V401318 = V738739 - 1. assign V915817 = V738739 + 1. assign V434886 = V408661 - 1. assign V209718 = V089633 - 1. assign V033420 = V001971 + 1. assign V188650 = V212194 - 1. assign V054182 = V089736. assign V672897 = V275346 + 1. assign V914519 = V152842 + 1. assign V481115 = V431917 + 1. assign V885838 = V152842 + 1. assign V792435 = V753061 - 1. assign V738131 = V013837. assign V863955 = V980362. assign V775411 = V183110. assign V018878 = V980362 - 1. assign V406042 = V535341 + 1. assign V170333 = V145835 - 1. assign V428632 = V353198 - 1. assign V212194 = V183110 + 1. assign V614937 = V708073 + 1. assign V113549 = V291027. assign V956898 = V017507 - 1. assign V419476 = V421006 - 1. assign V214264 = V233974 + 1. assign V563734 = V145820 - 1. assign V102197 = V553806. assign V742323 = V223874 - 1. assign V101307 = V489935 - 1. assign V944601 = V871656 - 1. assign V145835 = V182537 - 1. assign V932278 = V476396 - 1. assign V520209 = V354860 + 1. assign V699989 = V073726 + 1. assign V320757 = V473011. assign V119020 = V244894 + 1. assign V307530 = V929943 - 1. assign V500700 = V013837 - 1. assign V316821 = V593216 + 1. assign V084619 = V291027 + 1. assign V034281 = V705013. assign V689600 = V152842 + 1. assign V905606 = V113549 - 1. assign V563824 = V560217 + 1. assign V233974 = V790692. assign V585061 = V408433 - 1. assign V921928 = V188650 + 1. assign V592418 = V479920. assign V551587 = V355025 - 1. assign V873957 = V274474 - 1. assign V355025 = V275346 - 1. assign V907778 = V874436 + 1. assign V480633 = V209718 - 1. assign V790692 = V489935 + 1. assign V001513 = V764070. assign V965203 = V527322 - 1. assign V874923 = V750109 + 1. assign V145910 = V081142 + 1. assign V808881 = V316790 + 1. assign V502796 = V433240 + 1. assign V375971 = V473646 - 1. assign V699298 = V183110. assign V351243 = V282376 - 1. assign V798191 = V982991 - 1. assign V128356 = V034281. assign V694831 = V049518 - 1. assign V931230 = V585695. assign V103512 = V264856 + 1. assign V182496 = V647805 - 1. assign V687949 = V264856 - 1. assign V938519 = V670825 - 1. assign V253424 = V375971 - 1. assign V930271 = V049518 + 1. assign V753061 = V928165 - 1. assign V756278 = V275346 + 1. assign V698792 = V253424 + 1. assign V745046 = V120349 + 1. assign V527322 = V670825 - 1. assign V968044 = V670825. assign V356999 = V930271. assign V408661 = V530628. assign V579208 = V058376 - 1. assign V720126 = V747867 - 1. assign V167911 = V850581. assign V565049 = V759605 + 1. assign V152283 = V447669 - 1. assign V672093 = V367575 + 1. assign V353198 = V665244 + 1. assign V145820 = V489935 + 1. assign V777257 = V698792 - 1. assign V967816 = V288362 + 1. assign V408471 = V804389 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V705013 = V276789 - 1. assign V532767 = V804389 + 1. assign V541046 = V585061 + 1. assign V535341 = V578413 + 1. assign V178996 = V945708 - 1. assign V714437 = V316090 + 1. assign V058376 = V665244 + 1. assign V708073 = V634550. assign V306575 = V518074 + 1. assign V899951 = V024670. assign V284923 = V018878 + 1. assign V291027 = V117277. assign V497178 = V276789. assign V713658 = V291027 - 1. assign V513274 = V184962. assign V266859 = V253718. assign V578413 = V439239 + 1. assign V081142 = V792584 + 1. assign V146116 = V756278 + 1. assign V073726 = V276789. assign V120349 = 5. assign V729486 = V031651 + 1. assign V936312 = V687949. assign V040946 = V367151 + 1. assign V380980 = V585620. assign V081378 = V681094 - 1. assign V291347 = V873706. assign V367151 = V560217 - 1. assign V182537 = V518074. assign V183516 = V831467. assign V392698 = V867294 + 1. assign V479920 = V898056. assign V042362 = V073726. assign V984389 = V865426. assign V439239 = V367575. assign V809096 = V560217 + 1. assign V609295 = V570651. assign V202411 = V459901 - 1. assign V873086 = V113549 + 1. assign V634550 = V401318 - 1. assign V301502 = V418233 + 1. assign V388503 = V479920 + 1. assign V977610 = V553806. assign V420576 = V355025 - 1. assign V940833 = V585695. assign V489935 = V183110 - 1. assign V238846 = V551587. assign V752829 = V747867 - 1. assign V798030 = V430491. assign V316790 = V940833 + 1. assign V850581 = V560217 + 1. assign V665244 = V102128. assign V062200 = V001556 + 1. assign V282376 = V940833. assign V764070 = V670825 + 1. assign V929943 = V792584 + 1. assign V344330 = V956898 + 1. assign V555092 = V909891 - 1. assign V113546 = V421006 - 1. assign V870894 = V181625. assign V466148 = V081142 + 1. assign V370553 = V447669. assign V465773 = V790692 - 1. assign V274474 = V182537 - 1. assign V476396 = V001556 + 1. assign V093793 = V850581. assign V867294 = V607377 + 1. assign V831467 = V183110 - 1. assign V031651 = V049518 + 1. assign V618008 = V759605 - 1. assign V518786 = V212194 + 1. assign V479211 = V672093. assign V469277 = V945708. assign V166982 = V146116 + 1. assign V459901 = V183516 - 1. assign V152842 = V907778. assign V687489 = V355025 - 1. assign V970021 = V738739. assign V874798 = V980362. assign V369692 = V553806 + 1. assign V244894 = V874798 - 1. assign V001971 = V938519. assign V439741 = V318909. assign V090281 = V845539 - 1. assign V316090 = V750109 + 1. assign V062497 = V763355. assign V013894 = V173896 + 1. assign V276789 = V102128 - 1. assign V979542 = V801761 + 1. assign V431917 = V355025 - 1. assign V880327 = V408661. assign V173896 = V570651 + 1. assign V117277 = V527322. assign V331579 = V943782 - 1. assign V381601 = V145820. assign V024670 = V607377. assign V447669 = V017507. assign V561657 = V430491 - 1. assign V146561 = V209718 + 1. assign V288362 = V401318 + 1. assign V340153 = V835672. assign V865134 = V750109 - 1. assign V874436 = V502254 - 1. assign V898056 = V609295 + 1. assign V237096 = V113549 + 1. assign V865426 = V984818 + 1. assign V553806 = V101657. assign V134518 = V128356 - 1. assign V945708 = V670825 + 1. assign V567056 = V392698. assign V053956 = V530628 + 1. assign V103867 = V117277 + 1. assign V276464 = V439239. assign V171040 = V102197. assign V674351 = V178996 + 1. assign V610633 = V392698. assign V101657 = V938519 - 1. assign V848858 = V367575 + 1. assign V089633 = V705013 + 1. assign V984818 = V101657 + 1. assign V909891 = V102128 - 1. assign V001723 = V439239. assign V928165 = V774882 + 1. assign V486710 = V593216. assign V940415 = V284923. assign V431330 = V212194 + 1. assign V476979 = V929943 - 1. assign V432212 = V585620 - 1. assign V769673 = V274474. assign V943782 = V714437 + 1. assign V713493 = V409188 + 1. assign V518074 = V291027 - 1. assign V774882 = V831467 + 1. assign V585620 = V316090 + 1. assign V728599 = V381601 - 1. assign V901707 = V672093. assign V297418 = V253718 - 1. assign V669769 = V870894 + 1. assign V181625 = V687949. assign V089736 = V408471 - 1. assign V570651 = V681094 - 1. assign V694169 = V401318 - 1. assign V000962 = V907778 - 1. assign V804389 = V049518. assign V881515 = V090281 + 1. assign V674289 = V103867 - 1. assign V502232 = V001971. assign V418342 = V634550 - 1. assign V418233 = V001971. assign V865528 = V928165 - 1. assign V845539 = V120349 + 1. assign V560217 = V181625 + 1. assign V170160 = V792435 - 1. assign V826056 = V062200. assign V049518 = V750109 + 1. assign V183110 = V938519. assign V763355 = V103867 + 1. assign V517263 = V049518 - 1. assign V729970 = V687949 + 1. assign V017540 = V291027 + 1. assign V196962 = V469277 + 1. assign V801761 = V432212. assign V941839 = V188650 - 1. assign V433240 = V938519 + 1. assign V848063 = V017507 + 1. assign V530628 = V774882 + 1. assign V017507 = V928165. assign V137421 = V681094 + 1. assign V409188 = V970021. assign V326886 = V284923 + 1. assign V184962 = V486710. assign V101426 = V585061. assign V981010 = V291027. assign V001556 = V113546 - 1. assign V416517 = V145820 - 1. assign V253718 = V090281. assign V647805 = V798191 - 1. assign V750109 = V101657 + 1. assign V673188 = V489935 + 1. assign V374593 = V585695 - 1. assign V504573 = V941839 - 1. assign V553950 = V713658 + 1. assign V916286 = V502254 + 1. assign V249638 = V303670 + 1. assign V275346 = V670825 - 1. assign V681094 = V276789 + 1. assign V322439 = V714437 - 1. assign V429758 = V863955. assign V155476 = V610633. assign V417450 = V354860 - 1. assign V550059 = V672897. assign V970291 = V798030 + 1. assign V445351 = V286888. assign V219521 = V938519. assign V367575 = V316090. assign V727478 = V038826 - 1. assign V392808 = V089633. assign V116704 = V408471. assign V374731 = V316090. assign V747867 = V940833. assign V828888 = V367575 - 1. assign V934301 = V945708 - 1. assign V688696 = V145910 + 1. assign V378211 = V585620. assign V980362 = V670825 - 1. assign V473011 = V745046 - 1. assign V686166 = V747867. assign V759605 = V271605 - 1. assign V919015 = V905606. assign V757209 = V940415 - 1. assign V223874 = V219521. assign V446267 = V318909 + 1. assign V248624 = V530628 - 1. assign V468683 = V518074 + 1. assign V811922 = V764070 - 1. assign V593216 = V183110. assign V013837 = V825472 + 1. assign V553828 = V433240. assign V264856 = V928165 - 1. assign V421006 = V497178. assign V204097 = V775411 - 1. assign V318909 = V831497. assign V893197 = V541046. assign V873706 = V902352 - 1. assign V792584 = V374731. assign V502254 = V276789 + 1. assign V028680 = V276789 + 1. assign V226925 = V694169 + 1. assign V721096 = V434886. assign V066248 = V828888. assign V673401 = V585620. assign V430491 = V705013 + 1. assign V045028 = V354860. assign V835672 = V874798 - 1. assign V902352 = V497178 - 1. assign V102128 = V938519 + 1. assign V038826 = V764070 - 1. assign V473646 = V965203. assign V046616 = V318909. assign V738739 = V831467 - 1. assign V825472 = V233974 + 1. assign V560178 = V774882 + 1. assign V432234 = V647805. assign V408433 = V282376. assign V954543 = V811922 + 1. assign V271605 = V318909 - 1. assign V885719 = V965203. assign V195122 = V212194 + 1. assign V982991 = V497178. assign V350396 = V282376 - 1. assign V831497 = V764070 + 1. assign V303670 = V902352. assign V607377 = V183110. assign V871656 = V874436. assign V947170 = V058376 - 1. assign V585695 = V527322 - 1. assign V354860 = V907778 + 1. assign V129807 = V940833. assign V286888 = V593216 - 1. assign V401318 = V738739 - 1. assign V915817 = V738739 + 1. assign V434886 = V408661 - 1. assign V209718 = V089633 - 1. assign V033420 = V001971 + 1. assign V188650 = V212194 - 1. assign V054182 = V089736. assign V672897 = V275346 + 1. assign V914519 = V152842 + 1. assign V481115 = V431917 + 1. assign V885838 = V152842 + 1. assign V792435 = V753061 - 1. assign V738131 = V013837. assign V863955 = V980362. assign V775411 = V183110. assign V018878 = V980362 - 1. assign V406042 = V535341 + 1. assign V170333 = V145835 - 1. assign V428632 = V353198 - 1. assign V212194 = V183110 + 1. assign V614937 = V708073 + 1. assign V113549 = V291027. assign V956898 = V017507 - 1. assign V419476 = V421006 - 1. assign V214264 = V233974 + 1. assign V563734 = V145820 - 1. assign V102197 = V553806. assign V742323 = V223874 - 1. assign V101307 = V489935 - 1. assign V944601 = V871656 - 1. assign V145835 = V182537 - 1. assign V932278 = V476396 - 1. assign V520209 = V354860 + 1. assign V699989 = V073726 + 1. assign V320757 = V473011. assign V119020 = V244894 + 1. assign V307530 = V929943 - 1. assign V500700 = V013837 - 1. assign V316821 = V593216 + 1. assign V084619 = V291027 + 1. assign V034281 = V705013. assign V689600 = V152842 + 1. assign V905606 = V113549 - 1. assign V563824 = V560217 + 1. assign V233974 = V790692. assign V585061 = V408433 - 1. assign V921928 = V188650 + 1. assign V592418 = V479920. assign V551587 = V355025 - 1. assign V873957 = V274474 - 1. assign V355025 = V275346 - 1. assign V907778 = V874436 + 1. assign V480633 = V209718 - 1. assign V790692 = V489935 + 1. assign V001513 = V764070. assign V965203 = V527322 - 1. assign V874923 = V750109 + 1. assign V145910 = V081142 + 1. assign V808881 = V316790 + 1. assign V502796 = V433240 + 1. assign V375971 = V473646 - 1. assign V699298 = V183110. assign V351243 = V282376 - 1. assign V798191 = V982991 - 1. assign V128356 = V034281. assign V694831 = V049518 - 1. assign V931230 = V585695. assign V103512 = V264856 + 1. assign V182496 = V647805 - 1. assign V687949 = V264856 - 1. assign V938519 = V670825 - 1. assign V253424 = V375971 - 1. assign V930271 = V049518 + 1. assign V753061 = V928165 - 1. assign V756278 = V275346 + 1. assign V698792 = V253424 + 1. assign V745046 = V120349 + 1. assign V527322 = V670825 - 1. assign V968044 = V670825. assign V356999 = V930271. assign V408661 = V530628. assign V579208 = V058376 - 1. assign V720126 = V747867 - 1. assign V167911 = V850581. assign V565049 = V759605 + 1. assign V152283 = V447669 - 1. assign V672093 = V367575 + 1. assign V353198 = V665244 + 1. assign V145820 = V489935 + 1. assign V777257 = V698792 - 1. assign V967816 = V288362 + 1. assign V408471 = V804389 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV120349 = 5;\n\nFrom these direct assignment(s), we have: \nV745046 = V120349 + 1 = 5 + 1 =6;\nV473011 = V745046 - 1 = 6 - 1 =5;\nV320757 = V473011 = 5;\nNo other varaibles can be derived from V320757;\nNo other varaibles can be derived from V473011;\nNo other varaibles can be derived from V745046;\nV845539 = V120349 + 1 = 5 + 1 =6;\nV090281 = V845539 - 1 = 6 - 1 =5;\nV253718 = V090281 = 5;\nV297418 = V253718 - 1 = 5 - 1 =4;\nNo other varaibles can be derived from V297418;\nV266859 = V253718 = 5;\nNo other varaibles can be derived from V266859;\nNo other varaibles can be derived from V253718;\nV881515 = V090281 + 1 = 5 + 1 =6;\nNo other varaibles can be derived from V881515;\nNo other varaibles can be derived from V090281;\nNo other varaibles can be derived from V845539;\nNo other varaibles can be derived from V120349;\n\nNow we have done all the calculations. Derived variables are:\nV120349 = 5;\nV745046 = 6;\nV473011 = 5;\nV320757 = 5;\nV845539 = 6;\nV090281 = 5;\nV253718 = 5;\nV297418 = 4;\nV266859 = 5;\nV881515 = 6;\n\nNow we have finished this problem. ANSWER:\nV745046, V845539, V881515\n", "role": "assistant" } ]

[ "V702149", "V191400", "V614645" ]

[ { "content": "<context>\nassign V467983 = V165983. assign V242818 = V182494 - 1. assign V750812 = V995698. assign V957475 = V880755 - 1. assign V707431 = V155615. assign V086072 = V370702. assign V785734 = V017200. assign V703731 = V298569 - 1. assign V544935 = V741523 + 1. assign V403214 = V803844 - 1. assign V522774 = V828630 + 1. assign V591240 = V242887. assign V872796 = V916912 - 1. assign V363530 = V482726 + 1. assign V789744 = V621725. assign V143290 = V242316. assign V997515 = V501810 - 1. assign V563310 = V821339 + 1. assign V702149 = 10. assign V447256 = V361367. assign V880755 = V847747 + 1. assign V985638 = V522337 + 1. assign V116905 = V221183 - 1. assign V705175 = V785734 - 1. assign V216966 = V467983. assign V162898 = V139577. assign V175723 = V988821 - 1. assign V826395 = V522337. assign V086469 = V652319. assign V314892 = V216966 + 1. assign V469201 = V017200 - 1. assign V204687 = V834525 + 1. assign V631738 = V362858 + 1. assign V281980 = V957475. assign V311854 = V645035. assign V090006 = V170433 - 1. assign V659887 = V502523 + 1. assign V191400 = V702149. assign V145697 = V905883 + 1. assign V005254 = V216966 - 1. assign V315868 = V008462 + 1. assign V636969 = V629605 - 1. assign V423948 = V989178. assign V716560 = V343536 + 1. assign V366385 = V501810 - 1. assign V781274 = V212520. assign V905957 = V563310. assign V949676 = V555091 + 1. assign V283516 = V988821 + 1. assign V708293 = V194207 + 1. assign V987682 = V741523. assign V488935 = V703817. assign V295682 = V219337 + 1. assign V250156 = V935356 - 1. assign V438691 = V465583 + 1. assign V960019 = V555091 - 1. assign V212520 = V204972 - 1. assign V661551 = V465583 + 1. assign V935356 = V629605 + 1. assign V293093 = V974245 - 1. assign V992568 = V525331 - 1. assign V406914 = V093120. assign V220642 = V600568. assign V022602 = V340971 + 1. assign V529527 = V363530 - 1. assign V765228 = V629605 + 1. assign V323433 = V496454. assign V028089 = V648498. assign V828630 = V750112. assign V905883 = V880755 + 1. assign V614645 = V858885 + 1. assign V847747 = V395843 + 1. assign V593120 = V331300 + 1. assign V065594 = V430516 + 1. assign V283728 = V156038 + 1. assign V821339 = V989178 - 1. assign V989178 = V849399. assign V640672 = V709163 + 1. assign V109925 = V593587. assign V425655 = V727224 + 1. assign V964867 = V482726 + 1. assign V895224 = V331300 + 1. assign V210737 = V191400 - 1. assign V525331 = V491612 + 1. assign V310199 = V709163. assign V010810 = V544935 + 1. assign V621725 = V936715 + 1. assign V045754 = V404501. assign V143832 = V944422. assign V068130 = V661674 - 1. assign V437154 = V834525. assign V554412 = V782483 + 1. assign V395843 = V741523 - 1. assign V493705 = V125865 - 1. assign V284224 = V495520 + 1. assign V043985 = V624046 + 1. assign V985594 = V794117 - 1. assign V170433 = V449213 - 1. assign V303334 = V640672 - 1. assign V949009 = V352939 - 1. assign V771365 = V555091 - 1. assign V645035 = V212520 - 1. assign V576820 = V702149 + 1. assign V309863 = V488935. assign V603243 = V661551. assign V294920 = V661551 - 1. assign V896083 = V661674 + 1. assign V631316 = V395843 - 1. assign V629944 = V219337. assign V520504 = V325017 - 1. assign V280382 = V309863 - 1. assign V489149 = V754222 + 1. assign V661674 = V026703 - 1. assign V491612 = V623081 + 1. assign V475643 = V276379 + 1. assign V155615 = V467983 + 1. assign V342548 = V440459. assign V276379 = V623081 - 1. assign V689195 = V366995 + 1. assign V782733 = V661674. assign V133223 = V640672. assign V075129 = V949676. assign V370702 = V964867 + 1. assign V920819 = V555091 + 1. assign V093120 = V771365 - 1. assign V254042 = V895224 + 1. assign V139577 = V362247 - 1. assign V008462 = V283728. assign V240244 = V544935 - 1. assign V872628 = V107784. assign V798242 = V501810 - 1. assign V241968 = V440459 + 1. assign V635365 = V736319 - 1. assign V002590 = V957475. assign V115166 = V093120 + 1. assign V126231 = V093120. assign V840865 = V116905. assign V522337 = V017200. assign V242316 = V086072 - 1. assign V409495 = V210737 - 1. assign V502523 = V240933 - 1. assign V221183 = V495520 - 1. assign V923100 = V236328. assign V761698 = V829523 - 1. assign V058608 = V315868 - 1. assign V912581 = V920819 - 1. assign V340971 = V425655 + 1. assign V550502 = V216966 + 1. assign V877572 = V642955 + 1. assign V781329 = V560932 + 1. assign V959627 = V493705 - 1. assign V748349 = V162898. assign V361338 = V748349 - 1. assign V116601 = V703817 + 1. assign V050734 = V186939 + 1. assign V352939 = V430516 - 1. assign V343857 = V707241. assign V936715 = V093120 - 1. assign V503486 = V894423 - 1. assign V722359 = V026703 + 1. assign V794117 = V220642 - 1. assign V224853 = V159115. assign V053200 = V488935 + 1. assign V234967 = V577572 - 1. assign V731817 = V501810 - 1. assign V477674 = V346927 - 1. assign V389689 = V156038 - 1. assign V298569 = V090006 - 1. assign V317103 = V240244 + 1. assign V648648 = V648498 + 1. assign V882509 = V145641. assign V773106 = V331300. assign V886691 = V600568 - 1. assign V440459 = V283728. assign V240933 = V123846 + 1. assign V816997 = V987682 + 1. assign V736319 = V107784 - 1. assign V449213 = V093120 - 1. assign V839535 = V872628 - 1. assign V404501 = V314892 + 1. assign V496454 = V731817 + 1. assign V540063 = V068130 - 1. assign V958681 = V847747 - 1. assign V648679 = V121688 + 1. assign V853395 = V731817 - 1. assign V315031 = V123846 + 1. assign V950757 = V242887 - 1. assign V125865 = V026703 - 1. assign V433923 = V236328 - 1. assign V824532 = V107784 - 1. assign V560522 = V661551 - 1. assign V998437 = V873349. assign V259572 = V156038. assign V771557 = V849399 - 1. assign V287102 = V315031 + 1. assign V750861 = V240244 + 1. assign V803844 = V522337 - 1. assign V168037 = V703817 - 1. assign V970306 = V016797 + 1. assign V036597 = V234967 + 1. assign V433574 = V194207 - 1. assign V510297 = V629944 + 1. assign V070599 = V362247 - 1. assign V962376 = V116601. assign V929926 = V703817. assign V974245 = V107229 + 1. assign V361367 = V123846 - 1. assign V239164 = V361367. assign V776432 = V624046 + 1. assign V026703 = V123846 - 1. assign V034667 = V652319. assign V829523 = V652319 - 1. assign V159115 = V736319. assign V117281 = V194207. assign V593587 = V741523. assign V131902 = V250156. assign V707241 = V640672. assign V430516 = V929926 + 1. assign V776918 = V465583 - 1. assign V017200 = V709163 - 1. assign V474711 = V555659 + 1. assign V603584 = V965898 - 1. assign V578778 = V703817 + 1. assign V177718 = V093120 + 1. assign V501810 = V623081 + 1. assign V914395 = V212520 - 1. assign V741523 = V123846. assign V016797 = V949676. assign V867586 = V362858 - 1. assign V145641 = V661522 - 1. assign V362247 = V495520. assign V391960 = V614645 - 1. assign V624046 = V156038 + 1. assign V331300 = V133223 - 1. assign V182494 = V002590. assign V968387 = V493705 + 1. assign V107229 = V935356 + 1. assign V217184 = V227745 - 1. assign V809423 = V520504 - 1. assign V560932 = V030815. assign V995698 = V936715. assign V745712 = V965898 + 1. assign V121688 = V314892 + 1. assign V343536 = V017200. assign V356936 = V227745 + 1. assign V242887 = V640672. assign V652319 = V395843. assign V812434 = V485249 - 1. assign V257914 = V942333 - 1. assign V329028 = V168037 - 1. assign V389607 = V162898 - 1. assign V063278 = V997515 - 1. assign V317357 = V935356 - 1. assign V129613 = V178933 + 1. assign V247251 = V309863 + 1. assign V161430 = V554412 + 1. assign V815468 = V250156 + 1. assign V894423 = V194207. assign V709163 = V987682 - 1. assign V727224 = V093120 - 1. assign V396021 = V998437 + 1. assign V661522 = V914395 - 1. assign V600568 = V465583. assign V960042 = V191400 - 1. assign V028421 = V741523 + 1. assign V779243 = V708293 + 1. assign V454742 = V005254 + 1. assign V514067 = V593120 + 1. assign V685075 = V471789 - 1. assign V292291 = V988821. assign V728074 = V465583. assign V629605 = V942333 - 1. assign V157403 = V438691. assign V941484 = V482726. assign V716189 = V944422. assign V851796 = V503486 + 1. assign V914265 = V985638 - 1. assign V916912 = V847747 + 1. assign V186939 = V652319 + 1. assign V366995 = V234967 + 1. assign V206610 = V438691 - 1. assign V844957 = V329028 + 1. assign V965898 = V212520. assign V178933 = V640672. assign V107784 = V395843 - 1. assign V192376 = V731817 + 1. assign V382231 = V614645 - 1. assign V703817 = V847747 - 1. assign V030815 = V916912. assign V873349 = V652319. assign V682074 = V886691 - 1. assign V184202 = V821339. assign V227745 = V325017 - 1. assign V092126 = V220642 + 1. assign V411270 = V563310 - 1. assign V834525 = V242887 - 1. assign V782483 = V026703. assign V875782 = V514067 - 1. assign V923050 = V873349 + 1. assign V495520 = V942333 - 1. assign V247959 = V406914 - 1. assign V515058 = V502523 + 1. assign V194207 = V156038 - 1. assign V323101 = V235507 + 1. assign V750112 = V958681 - 1. assign V482726 = V242887 - 1. assign V325017 = V317357 - 1. assign V221725 = V115166. assign V465583 = V623081 + 1. assign V518163 = V929926 + 1. assign V942333 = V771365 - 1. assign V555659 = V352939 - 1. assign V743753 = V600568. assign V434520 = V186939 - 1. assign V496016 = V227745 + 1. assign V059335 = V723465 + 1. assign V124582 = V280382 + 1. assign V198053 = V327721 + 1. assign V555091 = V123846 - 1. assign V988821 = V623081 + 1. assign V978776 = V362247 - 1. assign V204972 = V501810 - 1. assign V935708 = V343536 + 1. assign V362858 = V107784 + 1. assign V235507 = V395843. assign V623081 = V555091 + 1. assign V101876 = V661522 - 1. assign V156038 = V395843 - 1. assign V253211 = V475643 - 1. assign V723465 = V640672 - 1. assign V533547 = V204972. assign V228829 = V949676 + 1. assign V471789 = V544935 + 1. assign V010454 = V544935 + 1. assign V500472 = V745712. assign V642955 = V518163 + 1. assign V754222 = V491612. assign V648498 = V652319 - 1. assign V327721 = V661674 - 1. assign V413322 = V309863 + 1. assign V858885 = V702149 - 1. assign V435707 = V133223. assign V485249 = V329028. assign V219337 = V482726. assign V849399 = V165983 + 1. assign V944422 = V502523 + 1. assign V947710 = V438691 + 1. assign V165983 = V178933. assign V346927 = V028421 + 1. assign V577572 = V661674 + 1. assign V236328 = V254042 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V467983 = V165983. assign V242818 = V182494 - 1. assign V750812 = V995698. assign V957475 = V880755 - 1. assign V707431 = V155615. assign V086072 = V370702. assign V785734 = V017200. assign V703731 = V298569 - 1. assign V544935 = V741523 + 1. assign V403214 = V803844 - 1. assign V522774 = V828630 + 1. assign V591240 = V242887. assign V872796 = V916912 - 1. assign V363530 = V482726 + 1. assign V789744 = V621725. assign V143290 = V242316. assign V997515 = V501810 - 1. assign V563310 = V821339 + 1. assign V702149 = 10. assign V447256 = V361367. assign V880755 = V847747 + 1. assign V985638 = V522337 + 1. assign V116905 = V221183 - 1. assign V705175 = V785734 - 1. assign V216966 = V467983. assign V162898 = V139577. assign V175723 = V988821 - 1. assign V826395 = V522337. assign V086469 = V652319. assign V314892 = V216966 + 1. assign V469201 = V017200 - 1. assign V204687 = V834525 + 1. assign V631738 = V362858 + 1. assign V281980 = V957475. assign V311854 = V645035. assign V090006 = V170433 - 1. assign V659887 = V502523 + 1. assign V191400 = V702149. assign V145697 = V905883 + 1. assign V005254 = V216966 - 1. assign V315868 = V008462 + 1. assign V636969 = V629605 - 1. assign V423948 = V989178. assign V716560 = V343536 + 1. assign V366385 = V501810 - 1. assign V781274 = V212520. assign V905957 = V563310. assign V949676 = V555091 + 1. assign V283516 = V988821 + 1. assign V708293 = V194207 + 1. assign V987682 = V741523. assign V488935 = V703817. assign V295682 = V219337 + 1. assign V250156 = V935356 - 1. assign V438691 = V465583 + 1. assign V960019 = V555091 - 1. assign V212520 = V204972 - 1. assign V661551 = V465583 + 1. assign V935356 = V629605 + 1. assign V293093 = V974245 - 1. assign V992568 = V525331 - 1. assign V406914 = V093120. assign V220642 = V600568. assign V022602 = V340971 + 1. assign V529527 = V363530 - 1. assign V765228 = V629605 + 1. assign V323433 = V496454. assign V028089 = V648498. assign V828630 = V750112. assign V905883 = V880755 + 1. assign V614645 = V858885 + 1. assign V847747 = V395843 + 1. assign V593120 = V331300 + 1. assign V065594 = V430516 + 1. assign V283728 = V156038 + 1. assign V821339 = V989178 - 1. assign V989178 = V849399. assign V640672 = V709163 + 1. assign V109925 = V593587. assign V425655 = V727224 + 1. assign V964867 = V482726 + 1. assign V895224 = V331300 + 1. assign V210737 = V191400 - 1. assign V525331 = V491612 + 1. assign V310199 = V709163. assign V010810 = V544935 + 1. assign V621725 = V936715 + 1. assign V045754 = V404501. assign V143832 = V944422. assign V068130 = V661674 - 1. assign V437154 = V834525. assign V554412 = V782483 + 1. assign V395843 = V741523 - 1. assign V493705 = V125865 - 1. assign V284224 = V495520 + 1. assign V043985 = V624046 + 1. assign V985594 = V794117 - 1. assign V170433 = V449213 - 1. assign V303334 = V640672 - 1. assign V949009 = V352939 - 1. assign V771365 = V555091 - 1. assign V645035 = V212520 - 1. assign V576820 = V702149 + 1. assign V309863 = V488935. assign V603243 = V661551. assign V294920 = V661551 - 1. assign V896083 = V661674 + 1. assign V631316 = V395843 - 1. assign V629944 = V219337. assign V520504 = V325017 - 1. assign V280382 = V309863 - 1. assign V489149 = V754222 + 1. assign V661674 = V026703 - 1. assign V491612 = V623081 + 1. assign V475643 = V276379 + 1. assign V155615 = V467983 + 1. assign V342548 = V440459. assign V276379 = V623081 - 1. assign V689195 = V366995 + 1. assign V782733 = V661674. assign V133223 = V640672. assign V075129 = V949676. assign V370702 = V964867 + 1. assign V920819 = V555091 + 1. assign V093120 = V771365 - 1. assign V254042 = V895224 + 1. assign V139577 = V362247 - 1. assign V008462 = V283728. assign V240244 = V544935 - 1. assign V872628 = V107784. assign V798242 = V501810 - 1. assign V241968 = V440459 + 1. assign V635365 = V736319 - 1. assign V002590 = V957475. assign V115166 = V093120 + 1. assign V126231 = V093120. assign V840865 = V116905. assign V522337 = V017200. assign V242316 = V086072 - 1. assign V409495 = V210737 - 1. assign V502523 = V240933 - 1. assign V221183 = V495520 - 1. assign V923100 = V236328. assign V761698 = V829523 - 1. assign V058608 = V315868 - 1. assign V912581 = V920819 - 1. assign V340971 = V425655 + 1. assign V550502 = V216966 + 1. assign V877572 = V642955 + 1. assign V781329 = V560932 + 1. assign V959627 = V493705 - 1. assign V748349 = V162898. assign V361338 = V748349 - 1. assign V116601 = V703817 + 1. assign V050734 = V186939 + 1. assign V352939 = V430516 - 1. assign V343857 = V707241. assign V936715 = V093120 - 1. assign V503486 = V894423 - 1. assign V722359 = V026703 + 1. assign V794117 = V220642 - 1. assign V224853 = V159115. assign V053200 = V488935 + 1. assign V234967 = V577572 - 1. assign V731817 = V501810 - 1. assign V477674 = V346927 - 1. assign V389689 = V156038 - 1. assign V298569 = V090006 - 1. assign V317103 = V240244 + 1. assign V648648 = V648498 + 1. assign V882509 = V145641. assign V773106 = V331300. assign V886691 = V600568 - 1. assign V440459 = V283728. assign V240933 = V123846 + 1. assign V816997 = V987682 + 1. assign V736319 = V107784 - 1. assign V449213 = V093120 - 1. assign V839535 = V872628 - 1. assign V404501 = V314892 + 1. assign V496454 = V731817 + 1. assign V540063 = V068130 - 1. assign V958681 = V847747 - 1. assign V648679 = V121688 + 1. assign V853395 = V731817 - 1. assign V315031 = V123846 + 1. assign V950757 = V242887 - 1. assign V125865 = V026703 - 1. assign V433923 = V236328 - 1. assign V824532 = V107784 - 1. assign V560522 = V661551 - 1. assign V998437 = V873349. assign V259572 = V156038. assign V771557 = V849399 - 1. assign V287102 = V315031 + 1. assign V750861 = V240244 + 1. assign V803844 = V522337 - 1. assign V168037 = V703817 - 1. assign V970306 = V016797 + 1. assign V036597 = V234967 + 1. assign V433574 = V194207 - 1. assign V510297 = V629944 + 1. assign V070599 = V362247 - 1. assign V962376 = V116601. assign V929926 = V703817. assign V974245 = V107229 + 1. assign V361367 = V123846 - 1. assign V239164 = V361367. assign V776432 = V624046 + 1. assign V026703 = V123846 - 1. assign V034667 = V652319. assign V829523 = V652319 - 1. assign V159115 = V736319. assign V117281 = V194207. assign V593587 = V741523. assign V131902 = V250156. assign V707241 = V640672. assign V430516 = V929926 + 1. assign V776918 = V465583 - 1. assign V017200 = V709163 - 1. assign V474711 = V555659 + 1. assign V603584 = V965898 - 1. assign V578778 = V703817 + 1. assign V177718 = V093120 + 1. assign V501810 = V623081 + 1. assign V914395 = V212520 - 1. assign V741523 = V123846. assign V016797 = V949676. assign V867586 = V362858 - 1. assign V145641 = V661522 - 1. assign V362247 = V495520. assign V391960 = V614645 - 1. assign V624046 = V156038 + 1. assign V331300 = V133223 - 1. assign V182494 = V002590. assign V968387 = V493705 + 1. assign V107229 = V935356 + 1. assign V217184 = V227745 - 1. assign V809423 = V520504 - 1. assign V560932 = V030815. assign V995698 = V936715. assign V745712 = V965898 + 1. assign V121688 = V314892 + 1. assign V343536 = V017200. assign V356936 = V227745 + 1. assign V242887 = V640672. assign V652319 = V395843. assign V812434 = V485249 - 1. assign V257914 = V942333 - 1. assign V329028 = V168037 - 1. assign V389607 = V162898 - 1. assign V063278 = V997515 - 1. assign V317357 = V935356 - 1. assign V129613 = V178933 + 1. assign V247251 = V309863 + 1. assign V161430 = V554412 + 1. assign V815468 = V250156 + 1. assign V894423 = V194207. assign V709163 = V987682 - 1. assign V727224 = V093120 - 1. assign V396021 = V998437 + 1. assign V661522 = V914395 - 1. assign V600568 = V465583. assign V960042 = V191400 - 1. assign V028421 = V741523 + 1. assign V779243 = V708293 + 1. assign V454742 = V005254 + 1. assign V514067 = V593120 + 1. assign V685075 = V471789 - 1. assign V292291 = V988821. assign V728074 = V465583. assign V629605 = V942333 - 1. assign V157403 = V438691. assign V941484 = V482726. assign V716189 = V944422. assign V851796 = V503486 + 1. assign V914265 = V985638 - 1. assign V916912 = V847747 + 1. assign V186939 = V652319 + 1. assign V366995 = V234967 + 1. assign V206610 = V438691 - 1. assign V844957 = V329028 + 1. assign V965898 = V212520. assign V178933 = V640672. assign V107784 = V395843 - 1. assign V192376 = V731817 + 1. assign V382231 = V614645 - 1. assign V703817 = V847747 - 1. assign V030815 = V916912. assign V873349 = V652319. assign V682074 = V886691 - 1. assign V184202 = V821339. assign V227745 = V325017 - 1. assign V092126 = V220642 + 1. assign V411270 = V563310 - 1. assign V834525 = V242887 - 1. assign V782483 = V026703. assign V875782 = V514067 - 1. assign V923050 = V873349 + 1. assign V495520 = V942333 - 1. assign V247959 = V406914 - 1. assign V515058 = V502523 + 1. assign V194207 = V156038 - 1. assign V323101 = V235507 + 1. assign V750112 = V958681 - 1. assign V482726 = V242887 - 1. assign V325017 = V317357 - 1. assign V221725 = V115166. assign V465583 = V623081 + 1. assign V518163 = V929926 + 1. assign V942333 = V771365 - 1. assign V555659 = V352939 - 1. assign V743753 = V600568. assign V434520 = V186939 - 1. assign V496016 = V227745 + 1. assign V059335 = V723465 + 1. assign V124582 = V280382 + 1. assign V198053 = V327721 + 1. assign V555091 = V123846 - 1. assign V988821 = V623081 + 1. assign V978776 = V362247 - 1. assign V204972 = V501810 - 1. assign V935708 = V343536 + 1. assign V362858 = V107784 + 1. assign V235507 = V395843. assign V623081 = V555091 + 1. assign V101876 = V661522 - 1. assign V156038 = V395843 - 1. assign V253211 = V475643 - 1. assign V723465 = V640672 - 1. assign V533547 = V204972. assign V228829 = V949676 + 1. assign V471789 = V544935 + 1. assign V010454 = V544935 + 1. assign V500472 = V745712. assign V642955 = V518163 + 1. assign V754222 = V491612. assign V648498 = V652319 - 1. assign V327721 = V661674 - 1. assign V413322 = V309863 + 1. assign V858885 = V702149 - 1. assign V435707 = V133223. assign V485249 = V329028. assign V219337 = V482726. assign V849399 = V165983 + 1. assign V944422 = V502523 + 1. assign V947710 = V438691 + 1. assign V165983 = V178933. assign V346927 = V028421 + 1. assign V577572 = V661674 + 1. assign V236328 = V254042 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV702149 = 10;\n\nFrom these direct assignment(s), we have: \nV858885 = V702149 - 1 = 10 - 1 =9;\nV614645 = V858885 + 1 = 9 + 1 =10;\nV382231 = V614645 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V382231;\nV391960 = V614645 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V391960;\nNo other varaibles can be derived from V614645;\nNo other varaibles can be derived from V858885;\nV576820 = V702149 + 1 = 10 + 1 =11;\nNo other varaibles can be derived from V576820;\nV191400 = V702149 = 10;\nV960042 = V191400 - 1 = 10 - 1 =9;\nNo other varaibles can be derived from V960042;\nV210737 = V191400 - 1 = 10 - 1 =9;\nV409495 = V210737 - 1 = 9 - 1 =8;\nNo other varaibles can be derived from V409495;\nNo other varaibles can be derived from V210737;\nNo other varaibles can be derived from V191400;\nNo other varaibles can be derived from V702149;\n\nNow we have done all the calculations. Derived variables are:\nV702149 = 10;\nV858885 = 9;\nV614645 = 10;\nV382231 = 9;\nV391960 = 9;\nV576820 = 11;\nV191400 = 10;\nV960042 = 9;\nV210737 = 9;\nV409495 = 8;\n\nNow we have finished this problem. ANSWER:\nV702149, V614645, V191400\n", "role": "assistant" } ]

[ "V936283", "V438033" ]

[ { "content": "<context>\nassign V758573 = V701716 + 1. assign V928216 = V692916. assign V531794 = V090355. assign V456705 = V884768 + 1. assign V074870 = V174249 + 1. assign V458458 = V195938. assign V748376 = V130951 + 1. assign V899703 = V148751 + 1. assign V791413 = V230899 + 1. assign V912281 = V491942 - 1. assign V097860 = V419497. assign V438132 = V483819. assign V893616 = V226002 + 1. assign V295806 = V097860. assign V603113 = V611614 - 1. assign V449924 = V648802 - 1. assign V215122 = V767761 + 1. assign V293241 = V130389. assign V500355 = V924226 + 1. assign V120578 = V476255. assign V779516 = V875178 - 1. assign V236850 = V135875. assign V438033 = V073591 + 1. assign V886307 = V670633. assign V943177 = V646050 - 1. assign V388524 = V612437. assign V230899 = V281361 - 1. assign V388071 = V796244 - 1. assign V569228 = V893616. assign V144235 = V757724. assign V146597 = V888293. assign V630568 = V476255. assign V706307 = V145816 - 1. assign V912218 = V226002 + 1. assign V476255 = V667506 + 1. assign V430311 = V037045 + 1. assign V534992 = V562419 + 1. assign V491942 = V795534 + 1. assign V096415 = V495602 + 1. assign V145816 = V957890. assign V947445 = V570144 - 1. assign V847672 = V912218. assign V203271 = V646050 + 1. assign V004880 = V097860 + 1. assign V243742 = V630568. assign V804517 = V667506. assign V999417 = V604005. assign V331434 = V730251 + 1. assign V933045 = V778998 + 1. assign V361525 = V157514 + 1. assign V927938 = V299890 + 1. assign V614280 = V234829 - 1. assign V684328 = V793026. assign V452346 = V692916 + 1. assign V238169 = V209441 - 1. assign V563832 = V839615 - 1. assign V209913 = V839615 - 1. assign V195938 = V368107 - 1. assign V885399 = V434535. assign V067071 = V875178 + 1. assign V085582 = V977776. assign V242402 = V282922 + 1. assign V925803 = V846525. assign V988203 = V151528 - 1. assign V655490 = V101499. assign V483819 = V923059. assign V516462 = V612437 - 1. assign V593319 = V438033 - 1. assign V539902 = V037045 + 1. assign V726001 = V130389 - 1. assign V403819 = V126227 + 1. assign V174579 = V195938 - 1. assign V302680 = V929586 + 1. assign V623869 = V996317 - 1. assign V913865 = V399260. assign V308160 = V291647 + 1. assign V368107 = V399260 - 1. assign V776713 = V281361 - 1. assign V721759 = V977776 + 1. assign V282922 = V130951 + 1. assign V218135 = V101499. assign V493735 = V410281 - 1. assign V936283 = V073591 + 1. assign V419497 = V692916 - 1. assign V500800 = V234829 - 1. assign V174574 = V648802. assign V875178 = V603113. assign V504579 = V885399 + 1. assign V994737 = V333964. assign V808854 = V546062 + 1. assign V234829 = V528727. assign V182910 = V291647 - 1. assign V278382 = V669456 - 1. assign V970991 = V612437 + 1. assign V505624 = V068427. assign V124711 = V291647 - 1. assign V801484 = V806646 + 1. assign V884768 = V796244 - 1. assign V667506 = V399260 + 1. assign V302374 = V027324. assign V416653 = V929586 + 1. assign V284621 = V672676. assign V955440 = V927938 - 1. assign V185085 = V085582 + 1. assign V950682 = V174579 + 1. assign V132017 = V073591 - 1. assign V135875 = V067071 + 1. assign V135159 = V912218 + 1. assign V687884 = V829695. assign V550087 = V364430 - 1. assign V194622 = V124711 - 1. assign V001770 = V795534. assign V130951 = V611614 - 1. assign V796244 = V360630 - 1. assign V685780 = V068427 + 1. assign V147193 = V403819 - 1. assign V172740 = V130951 + 1. assign V608253 = V495602. assign V209441 = V718730 + 1. assign V791970 = V399260. assign V977776 = V545374 + 1. assign V106067 = V988203 + 1. assign V746648 = V701716 - 1. assign V050289 = V602351 - 1. assign V388695 = V145816 - 1. assign V647997 = V195938 - 1. assign V646050 = V677465 - 1. assign V412273 = V886307 - 1. assign V719747 = V605791 + 1. assign V762016 = V697936. assign V315940 = V242402. assign V126722 = V551176 + 1. assign V507710 = V793026. assign V778998 = V049205 - 1. assign V987795 = V912218. assign V590782 = V130951 + 1. assign V701716 = V195938 - 1. assign V743821 = V028632 - 1. assign V073591 = 7. assign V540835 = V943177. assign V891044 = V945631. assign V740215 = V388071 - 1. assign V105306 = V884768. assign V976802 = V097860 - 1. assign V309911 = V706307 + 1. assign V806646 = V802400 + 1. assign V311547 = V692916. assign V208842 = V004880 - 1. assign V115673 = V946805. assign V697936 = V713920. assign V612416 = V174579 + 1. assign V839615 = V778998 - 1. assign V498403 = V935856 + 1. assign V410281 = V388071 + 1. assign V530791 = V947445. assign V577761 = V406901. assign V358323 = V847672. assign V281361 = V611614 - 1. assign V991941 = V027324. assign V114873 = V182910. assign V406901 = V311547 - 1. assign V946805 = V677465 - 1. assign V641567 = V377144 + 1. assign V829695 = V368107 + 1. assign V101499 = V293023 - 1. assign V996317 = V266321 - 1. assign V757724 = V027324. assign V957890 = V829695 - 1. assign V078285 = V611899. assign V830698 = V360630. assign V206282 = V508372 + 1. assign V453781 = V213588. assign V075766 = V795534. assign V270608 = V242402 + 1. assign V146402 = V226522 + 1. assign V692916 = V611614 - 1. assign V528727 = V226522. assign V567082 = V767761 - 1. assign V520998 = V467637 + 1. assign V174249 = V073591 - 1. assign V900407 = V148006 - 1. assign V300628 = V923059. assign V508372 = V001770 + 1. assign V888293 = V608253 - 1. assign V409508 = V135875 - 1. assign V852813 = V762434. assign V788878 = V444060 - 1. assign V629896 = V438132 + 1. assign V637098 = V677465 - 1. assign V992968 = V203271 - 1. assign V653504 = V977264 - 1. assign V881279 = V913865 - 1. assign V924226 = V293023. assign V935856 = V872541 - 1. assign V105594 = V945631 - 1. assign V338319 = V924226. assign V583968 = V605791. assign V148751 = V530791 + 1. assign V821689 = V593319. assign V929586 = V637098 - 1. assign V347054 = V130951 + 1. assign V267741 = V604005 + 1. assign V467658 = V713920 - 1. assign V617228 = V706307. assign V068427 = V551176 + 1. assign V299890 = V562419 - 1. assign V399260 = V579606. assign V713920 = V068427. assign V579606 = V281361 - 1. assign V089642 = V151172 + 1. assign V387635 = V315940 + 1. assign V086460 = V988203 - 1. assign V863146 = V802400 + 1. assign V977264 = V974397 - 1. assign V080216 = V288810 - 1. assign V040235 = V413022 + 1. assign V449811 = V226002 - 1. assign V174369 = V333964. assign V562419 = V476255 + 1. assign V831681 = V073591 - 1. assign V856763 = V719986 + 1. assign V467637 = V912218. assign V431757 = V126227 - 1. assign V402469 = V341625 - 1. assign V343971 = V266321. assign V610385 = V943177 + 1. assign V606561 = V795534. assign V063777 = V757724 + 1. assign V184771 = V157514 - 1. assign V385673 = V493735 - 1. assign V570144 = V776713 - 1. assign V611614 = V977776. assign V148006 = V612437. assign V155083 = V467637 + 1. assign V793026 = V399260 - 1. assign V092426 = V218135 + 1. assign V420005 = V092426. assign V775446 = V677465. assign V157514 = V388071 + 1. assign V756214 = V579606. assign V315479 = V762016 + 1. assign V026505 = V126227. assign V126227 = V667506 + 1. assign V366352 = V364430 + 1. assign V719986 = V912218 + 1. assign V612437 = V130951. assign V945631 = V124711. assign V736479 = V667506 + 1. assign V624292 = V420005 + 1. assign V605791 = V607261 - 1. assign V633819 = V126227. assign V130389 = V829695. assign V872622 = V360630 + 1. assign V186916 = V778998. assign V128346 = V988203 - 1. assign V170310 = V530791 + 1. assign V669456 = V360630 + 1. assign V434535 = V299890. assign V795534 = V646050. assign V142158 = V476255 + 1. assign V360630 = V293023 - 1. assign V846525 = V546062 - 1. assign V377144 = V281361. assign V934085 = V388071. assign V399716 = V333964. assign V106664 = V570144 - 1. assign V165465 = V601756. assign V611899 = V551176. assign V276584 = V174574. assign V441037 = V925803 - 1. assign V602351 = V884768 - 1. assign V487877 = V977264 + 1. assign V253356 = V308160. assign V291647 = V067071. assign V049205 = V579606. assign V672676 = V226002 + 1. assign V719087 = V360630. assign V538230 = V182910. assign V670633 = V830698 + 1. assign V226002 = V579606. assign V364430 = V563832. assign V516534 = V504579. assign V226522 = V977776 - 1. assign V762434 = V539902. assign V104495 = V476255 + 1. assign V429982 = V341625 + 1. assign V495602 = V281361 - 1. assign V582016 = V195938. assign V802400 = V403819 - 1. assign V130622 = V195938 + 1. assign V135460 = V174249. assign V694949 = V677465. assign V279999 = V299890 + 1. assign V612703 = V172740 + 1. assign V601756 = V315762. assign V169211 = V315940 - 1. assign V863992 = V467658 + 1. assign V333964 = V101499 - 1. assign V510829 = V546062 + 1. assign V381504 = V646050. assign V785239 = V124711 - 1. assign V341625 = V912218 + 1. assign V065418 = V067071. assign V994245 = V551176 - 1. assign V509005 = V570144 + 1. assign V269689 = V115673 - 1. assign V718730 = V912218. assign V413022 = V570144. assign V144066 = V256524 + 1. assign V213588 = V875178 - 1. assign V818377 = V736479 + 1. assign V375665 = V126227 + 1. assign V775863 = V509005 + 1. assign V315762 = V333964. assign V923059 = V924226 - 1. assign V061161 = V130389 + 1. assign V444060 = V106664 + 1. assign V730251 = V719986 + 1. assign V767761 = V804517 + 1. assign V604005 = V974397. assign V210723 = V452346. assign V293023 = V611614 + 1. assign V651582 = V302680 - 1. assign V090355 = V767761 + 1. assign V256524 = V579606 - 1. assign V266321 = V226522. assign V027324 = V291647. assign V872541 = V509005 - 1. assign V943941 = V413022 - 1. assign V037045 = V924226 + 1. assign V235040 = V713920. assign V648802 = V912218. assign V573943 = V236850 + 1. assign V677465 = V226002. assign V409414 = V767761 + 1. assign V120388 = V637098 - 1. assign V711362 = V308160 - 1. assign V891197 = V929586 - 1. assign V151528 = V148006 - 1. assign V145484 = V970991 + 1. assign V028632 = V090355 - 1. assign V825430 = V856763 + 1. assign V607261 = V256524 + 1. assign V666046 = V923059. assign V546062 = V637098 + 1. assign V832205 = V545374. assign V859939 = V692916 + 1. assign V551176 = V912218 + 1. assign V151172 = V612437 - 1. assign V974397 = V419497 - 1. assign V288810 = V927938 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V758573 = V701716 + 1. assign V928216 = V692916. assign V531794 = V090355. assign V456705 = V884768 + 1. assign V074870 = V174249 + 1. assign V458458 = V195938. assign V748376 = V130951 + 1. assign V899703 = V148751 + 1. assign V791413 = V230899 + 1. assign V912281 = V491942 - 1. assign V097860 = V419497. assign V438132 = V483819. assign V893616 = V226002 + 1. assign V295806 = V097860. assign V603113 = V611614 - 1. assign V449924 = V648802 - 1. assign V215122 = V767761 + 1. assign V293241 = V130389. assign V500355 = V924226 + 1. assign V120578 = V476255. assign V779516 = V875178 - 1. assign V236850 = V135875. assign V438033 = V073591 + 1. assign V886307 = V670633. assign V943177 = V646050 - 1. assign V388524 = V612437. assign V230899 = V281361 - 1. assign V388071 = V796244 - 1. assign V569228 = V893616. assign V144235 = V757724. assign V146597 = V888293. assign V630568 = V476255. assign V706307 = V145816 - 1. assign V912218 = V226002 + 1. assign V476255 = V667506 + 1. assign V430311 = V037045 + 1. assign V534992 = V562419 + 1. assign V491942 = V795534 + 1. assign V096415 = V495602 + 1. assign V145816 = V957890. assign V947445 = V570144 - 1. assign V847672 = V912218. assign V203271 = V646050 + 1. assign V004880 = V097860 + 1. assign V243742 = V630568. assign V804517 = V667506. assign V999417 = V604005. assign V331434 = V730251 + 1. assign V933045 = V778998 + 1. assign V361525 = V157514 + 1. assign V927938 = V299890 + 1. assign V614280 = V234829 - 1. assign V684328 = V793026. assign V452346 = V692916 + 1. assign V238169 = V209441 - 1. assign V563832 = V839615 - 1. assign V209913 = V839615 - 1. assign V195938 = V368107 - 1. assign V885399 = V434535. assign V067071 = V875178 + 1. assign V085582 = V977776. assign V242402 = V282922 + 1. assign V925803 = V846525. assign V988203 = V151528 - 1. assign V655490 = V101499. assign V483819 = V923059. assign V516462 = V612437 - 1. assign V593319 = V438033 - 1. assign V539902 = V037045 + 1. assign V726001 = V130389 - 1. assign V403819 = V126227 + 1. assign V174579 = V195938 - 1. assign V302680 = V929586 + 1. assign V623869 = V996317 - 1. assign V913865 = V399260. assign V308160 = V291647 + 1. assign V368107 = V399260 - 1. assign V776713 = V281361 - 1. assign V721759 = V977776 + 1. assign V282922 = V130951 + 1. assign V218135 = V101499. assign V493735 = V410281 - 1. assign V936283 = V073591 + 1. assign V419497 = V692916 - 1. assign V500800 = V234829 - 1. assign V174574 = V648802. assign V875178 = V603113. assign V504579 = V885399 + 1. assign V994737 = V333964. assign V808854 = V546062 + 1. assign V234829 = V528727. assign V182910 = V291647 - 1. assign V278382 = V669456 - 1. assign V970991 = V612437 + 1. assign V505624 = V068427. assign V124711 = V291647 - 1. assign V801484 = V806646 + 1. assign V884768 = V796244 - 1. assign V667506 = V399260 + 1. assign V302374 = V027324. assign V416653 = V929586 + 1. assign V284621 = V672676. assign V955440 = V927938 - 1. assign V185085 = V085582 + 1. assign V950682 = V174579 + 1. assign V132017 = V073591 - 1. assign V135875 = V067071 + 1. assign V135159 = V912218 + 1. assign V687884 = V829695. assign V550087 = V364430 - 1. assign V194622 = V124711 - 1. assign V001770 = V795534. assign V130951 = V611614 - 1. assign V796244 = V360630 - 1. assign V685780 = V068427 + 1. assign V147193 = V403819 - 1. assign V172740 = V130951 + 1. assign V608253 = V495602. assign V209441 = V718730 + 1. assign V791970 = V399260. assign V977776 = V545374 + 1. assign V106067 = V988203 + 1. assign V746648 = V701716 - 1. assign V050289 = V602351 - 1. assign V388695 = V145816 - 1. assign V647997 = V195938 - 1. assign V646050 = V677465 - 1. assign V412273 = V886307 - 1. assign V719747 = V605791 + 1. assign V762016 = V697936. assign V315940 = V242402. assign V126722 = V551176 + 1. assign V507710 = V793026. assign V778998 = V049205 - 1. assign V987795 = V912218. assign V590782 = V130951 + 1. assign V701716 = V195938 - 1. assign V743821 = V028632 - 1. assign V073591 = 7. assign V540835 = V943177. assign V891044 = V945631. assign V740215 = V388071 - 1. assign V105306 = V884768. assign V976802 = V097860 - 1. assign V309911 = V706307 + 1. assign V806646 = V802400 + 1. assign V311547 = V692916. assign V208842 = V004880 - 1. assign V115673 = V946805. assign V697936 = V713920. assign V612416 = V174579 + 1. assign V839615 = V778998 - 1. assign V498403 = V935856 + 1. assign V410281 = V388071 + 1. assign V530791 = V947445. assign V577761 = V406901. assign V358323 = V847672. assign V281361 = V611614 - 1. assign V991941 = V027324. assign V114873 = V182910. assign V406901 = V311547 - 1. assign V946805 = V677465 - 1. assign V641567 = V377144 + 1. assign V829695 = V368107 + 1. assign V101499 = V293023 - 1. assign V996317 = V266321 - 1. assign V757724 = V027324. assign V957890 = V829695 - 1. assign V078285 = V611899. assign V830698 = V360630. assign V206282 = V508372 + 1. assign V453781 = V213588. assign V075766 = V795534. assign V270608 = V242402 + 1. assign V146402 = V226522 + 1. assign V692916 = V611614 - 1. assign V528727 = V226522. assign V567082 = V767761 - 1. assign V520998 = V467637 + 1. assign V174249 = V073591 - 1. assign V900407 = V148006 - 1. assign V300628 = V923059. assign V508372 = V001770 + 1. assign V888293 = V608253 - 1. assign V409508 = V135875 - 1. assign V852813 = V762434. assign V788878 = V444060 - 1. assign V629896 = V438132 + 1. assign V637098 = V677465 - 1. assign V992968 = V203271 - 1. assign V653504 = V977264 - 1. assign V881279 = V913865 - 1. assign V924226 = V293023. assign V935856 = V872541 - 1. assign V105594 = V945631 - 1. assign V338319 = V924226. assign V583968 = V605791. assign V148751 = V530791 + 1. assign V821689 = V593319. assign V929586 = V637098 - 1. assign V347054 = V130951 + 1. assign V267741 = V604005 + 1. assign V467658 = V713920 - 1. assign V617228 = V706307. assign V068427 = V551176 + 1. assign V299890 = V562419 - 1. assign V399260 = V579606. assign V713920 = V068427. assign V579606 = V281361 - 1. assign V089642 = V151172 + 1. assign V387635 = V315940 + 1. assign V086460 = V988203 - 1. assign V863146 = V802400 + 1. assign V977264 = V974397 - 1. assign V080216 = V288810 - 1. assign V040235 = V413022 + 1. assign V449811 = V226002 - 1. assign V174369 = V333964. assign V562419 = V476255 + 1. assign V831681 = V073591 - 1. assign V856763 = V719986 + 1. assign V467637 = V912218. assign V431757 = V126227 - 1. assign V402469 = V341625 - 1. assign V343971 = V266321. assign V610385 = V943177 + 1. assign V606561 = V795534. assign V063777 = V757724 + 1. assign V184771 = V157514 - 1. assign V385673 = V493735 - 1. assign V570144 = V776713 - 1. assign V611614 = V977776. assign V148006 = V612437. assign V155083 = V467637 + 1. assign V793026 = V399260 - 1. assign V092426 = V218135 + 1. assign V420005 = V092426. assign V775446 = V677465. assign V157514 = V388071 + 1. assign V756214 = V579606. assign V315479 = V762016 + 1. assign V026505 = V126227. assign V126227 = V667506 + 1. assign V366352 = V364430 + 1. assign V719986 = V912218 + 1. assign V612437 = V130951. assign V945631 = V124711. assign V736479 = V667506 + 1. assign V624292 = V420005 + 1. assign V605791 = V607261 - 1. assign V633819 = V126227. assign V130389 = V829695. assign V872622 = V360630 + 1. assign V186916 = V778998. assign V128346 = V988203 - 1. assign V170310 = V530791 + 1. assign V669456 = V360630 + 1. assign V434535 = V299890. assign V795534 = V646050. assign V142158 = V476255 + 1. assign V360630 = V293023 - 1. assign V846525 = V546062 - 1. assign V377144 = V281361. assign V934085 = V388071. assign V399716 = V333964. assign V106664 = V570144 - 1. assign V165465 = V601756. assign V611899 = V551176. assign V276584 = V174574. assign V441037 = V925803 - 1. assign V602351 = V884768 - 1. assign V487877 = V977264 + 1. assign V253356 = V308160. assign V291647 = V067071. assign V049205 = V579606. assign V672676 = V226002 + 1. assign V719087 = V360630. assign V538230 = V182910. assign V670633 = V830698 + 1. assign V226002 = V579606. assign V364430 = V563832. assign V516534 = V504579. assign V226522 = V977776 - 1. assign V762434 = V539902. assign V104495 = V476255 + 1. assign V429982 = V341625 + 1. assign V495602 = V281361 - 1. assign V582016 = V195938. assign V802400 = V403819 - 1. assign V130622 = V195938 + 1. assign V135460 = V174249. assign V694949 = V677465. assign V279999 = V299890 + 1. assign V612703 = V172740 + 1. assign V601756 = V315762. assign V169211 = V315940 - 1. assign V863992 = V467658 + 1. assign V333964 = V101499 - 1. assign V510829 = V546062 + 1. assign V381504 = V646050. assign V785239 = V124711 - 1. assign V341625 = V912218 + 1. assign V065418 = V067071. assign V994245 = V551176 - 1. assign V509005 = V570144 + 1. assign V269689 = V115673 - 1. assign V718730 = V912218. assign V413022 = V570144. assign V144066 = V256524 + 1. assign V213588 = V875178 - 1. assign V818377 = V736479 + 1. assign V375665 = V126227 + 1. assign V775863 = V509005 + 1. assign V315762 = V333964. assign V923059 = V924226 - 1. assign V061161 = V130389 + 1. assign V444060 = V106664 + 1. assign V730251 = V719986 + 1. assign V767761 = V804517 + 1. assign V604005 = V974397. assign V210723 = V452346. assign V293023 = V611614 + 1. assign V651582 = V302680 - 1. assign V090355 = V767761 + 1. assign V256524 = V579606 - 1. assign V266321 = V226522. assign V027324 = V291647. assign V872541 = V509005 - 1. assign V943941 = V413022 - 1. assign V037045 = V924226 + 1. assign V235040 = V713920. assign V648802 = V912218. assign V573943 = V236850 + 1. assign V677465 = V226002. assign V409414 = V767761 + 1. assign V120388 = V637098 - 1. assign V711362 = V308160 - 1. assign V891197 = V929586 - 1. assign V151528 = V148006 - 1. assign V145484 = V970991 + 1. assign V028632 = V090355 - 1. assign V825430 = V856763 + 1. assign V607261 = V256524 + 1. assign V666046 = V923059. assign V546062 = V637098 + 1. assign V832205 = V545374. assign V859939 = V692916 + 1. assign V551176 = V912218 + 1. assign V151172 = V612437 - 1. assign V974397 = V419497 - 1. assign V288810 = V927938 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV073591 = 7;\n\nFrom these direct assignment(s), we have: \nV831681 = V073591 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V831681;\nV174249 = V073591 - 1 = 7 - 1 =6;\nV135460 = V174249 = 6;\nNo other varaibles can be derived from V135460;\nV074870 = V174249 + 1 = 6 + 1 =7;\nNo other varaibles can be derived from V074870;\nNo other varaibles can be derived from V174249;\nV132017 = V073591 - 1 = 7 - 1 =6;\nNo other varaibles can be derived from V132017;\nV936283 = V073591 + 1 = 7 + 1 =8;\nNo other varaibles can be derived from V936283;\nV438033 = V073591 + 1 = 7 + 1 =8;\nV593319 = V438033 - 1 = 8 - 1 =7;\nV821689 = V593319 = 7;\nNo other varaibles can be derived from V821689;\nNo other varaibles can be derived from V593319;\nNo other varaibles can be derived from V438033;\nNo other varaibles can be derived from V073591;\n\nNow we have done all the calculations. Derived variables are:\nV073591 = 7;\nV831681 = 6;\nV174249 = 6;\nV135460 = 6;\nV074870 = 7;\nV132017 = 6;\nV936283 = 8;\nV438033 = 8;\nV593319 = 7;\nV821689 = 7;\n\nNow we have finished this problem. ANSWER:\nV936283, V438033\n", "role": "assistant" } ]