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 =(...TRUNCATED)

[{"content":"<context>\nassign V030714 = V616523 - 1. assign V512393 = V373400 - 1. assign V355746 =(...TRUNCATED)

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

[{"content":"<context>\nassign V658511 = V869207 - 1. assign V270523 = V128630 + 1. assign V669105 =(...TRUNCATED)

[{"content":"<context>\nassign V658511 = V869207 - 1. assign V270523 = V128630 + 1. assign V669105 =(...TRUNCATED)

[ "V556977", "V935283" ]

[{"content":"<context>\nassign V830255 = V375741 + 1. assign V170394 = V113230 - 1. assign V077080 =(...TRUNCATED)

[{"content":"<context>\nassign V830255 = V375741 + 1. assign V170394 = V113230 - 1. assign V077080 =(...TRUNCATED)

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

[{"content":"<context>\nassign V584867 = V961057 - 1. assign V603435 = V251938 + 1. assign V232375 =(...TRUNCATED)

[{"content":"<context>\nassign V584867 = V961057 - 1. assign V603435 = V251938 + 1. assign V232375 =(...TRUNCATED)

[ "V067353" ]

[{"content":"<context>\nassign V429068 = V153017. assign V100037 = V592262. assign V240885 = V801024(...TRUNCATED)

[{"content":"<context>\nassign V429068 = V153017. assign V100037 = V592262. assign V240885 = V801024(...TRUNCATED)