Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k

like 0

[ "V152745" ]

[ { "content": "<context>\nassign V748623 = V708811. assign V593659 = V132765 + 1. assign V055005 = V582378 + 1. assign V363860 = V861998 - 1. assign V680046 = V595814 - 1. assign V168214 = V412125 + 1. assign V793626 = V130121. assign V651347 = V324910 - 1. assign V804213 = V201998 + 1. assign V723266 = V197756 + 1. assign V550799 = V359942 - 1. assign V648895 = V812599. assign V240863 = V678953 + 1. assign V861998 = V582378 - 1. assign V558787 = V538526. assign V084047 = V421250. assign V898087 = V127204 + 1. assign V248748 = V132765. assign V197756 = V366725 - 1. assign V882035 = V804213 + 1. assign V928955 = V729787. assign V251445 = V061047 - 1. assign V478093 = V654177 + 1. assign V613786 = V760066 + 1. assign V843362 = V229791 - 1. assign V406491 = V550799 - 1. assign V422646 = V690818. assign V888534 = V931032. assign V170435 = V366725 - 1. assign V477025 = V154774 - 1. assign V359942 = V349952. assign V840023 = V130121 - 1. assign V895663 = V201998 - 1. assign V538526 = V945479. assign V531746 = V130121. assign V050213 = V888534. assign V708811 = V201998 + 1. assign V582378 = V349952 - 1. assign V682445 = V729787 + 1. assign V130121 = V857754 - 1. assign V967118 = V197756 - 1. assign V213772 = V973571. assign V595814 = V861998. assign V187129 = V342630. assign V811074 = V936225 + 1. assign V580860 = V740485 + 1. assign V276212 = V154774. assign V875423 = V864019. assign V944926 = V928955 - 1. assign V124870 = V477025 + 1. assign V785120 = V895663 - 1. assign V183236 = V303935. assign V349952 = V760066 - 1. assign V830814 = V729787 - 1. assign V993083 = V767514. assign V946175 = V931032 + 1. assign V903181 = V989174. assign V553836 = V580860. assign V380631 = V130121 - 1. assign V610988 = V723266 + 1. assign V412125 = V678953 - 1. assign V057237 = V127204 - 1. assign V812599 = V201998. assign V264799 = V124870 + 1. assign V393319 = V928955 - 1. assign V619052 = V989174 - 1. assign V477825 = V895663 - 1. assign V723059 = V126881. assign V864019 = V201998. assign V469963 = V406491 + 1. assign V838882 = V454572 - 1. assign V013135 = V349952 - 1. assign V668781 = V213772 + 1. assign V755086 = V840023 + 1. assign V324435 = V619052 - 1. assign V838234 = V197756 - 1. assign V945479 = V342630. assign V221075 = V729787. assign V762558 = V226975 - 1. assign V355168 = V740485 + 1. assign V507053 = V864019. assign V973571 = V857754 - 1. assign V266558 = V853350 - 1. assign V289175 = V760066. assign V698043 = V945479 + 1. assign V154774 = V289175. assign V483507 = V248748. assign V106244 = V740485 + 1. assign V201998 = V366725. assign V683154 = V132765. assign V654177 = V342630. assign V219305 = V767514. assign V820064 = V132765. assign V366725 = V130121 + 1. assign V568831 = V931032 + 1. assign V714932 = V864019 - 1. assign V958164 = V366725 + 1. assign V638687 = V355168 + 1. assign V147672 = V830814 + 1. assign V388038 = V349952 + 1. assign V931032 = V729787 - 1. assign V027404 = V740485 + 1. assign V152745 = V481850 - 1. assign V172705 = V324435 - 1. assign V624283 = V013135. assign V154338 = V683154 - 1. assign V632041 = V393319 + 1. assign V351640 = V132765 + 1. assign V656745 = V967118 - 1. assign V989174 = V936225 - 1. assign V978281 = V929455. assign V790497 = V741236 - 1. assign V115311 = V895663 - 1. assign V624602 = V351640 - 1. assign V953466 = V172705 + 1. assign V324910 = V936225 - 1. assign V455562 = V790497 - 1. assign V853350 = V861998 + 1. assign V690818 = V741236 - 1. assign V053184 = V314467 + 1. assign V064952 = V624283 - 1. assign V214418 = V266558. assign V226975 = V027404 + 1. assign V739784 = V013135. assign V303935 = V804213. assign V421250 = V027404 + 1. assign V046077 = V729787. assign V314467 = V202195 + 1. assign V892860 = V729787 + 1. assign V808225 = V610988 + 1. assign V127204 = V349952. assign V767514 = V895663 + 1. assign V119569 = V380631 + 1. assign V741236 = V760066 + 1. assign V202195 = V240863 + 1. assign V481850 = 2. assign V408782 = V812599 + 1. assign V374576 = V406491 - 1. assign V752147 = V154774 - 1. assign V549995 = V967118 + 1. assign V678953 = V289175 + 1. assign V517453 = V553836. assign V498615 = V767514 + 1. assign V772497 = V729787 - 1. assign V429594 = V682445 - 1. assign V933711 = V172705 - 1. assign V857754 = V741236 - 1. assign V531486 = V351640 - 1. assign V740485 = V760066 + 1. assign V259093 = V903181. assign V132765 = V892860. assign V458678 = V183236 - 1. assign V997948 = V324435 + 1. assign V729787 = V349952. assign V229791 = V130121. assign V454572 = V132765. assign V005919 = V342630 - 1. assign V342630 = V760066. assign V288516 = V632041. assign V189422 = V739784. assign V061047 = V619052 + 1. assign V749463 = V549995 + 1. assign V669469 = V187129. assign V805325 = V638687 + 1. assign V798492 = V610988 - 1. assign V929455 = V170435. assign V936225 = V582378 + 1. assign V414728 = V289175. assign V126881 = V740485 + 1. assign V879655 = V888534 + 1. assign V752671 = V061047 - 1. assign V175127 = V772497.\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 V748623 = V708811. assign V593659 = V132765 + 1. assign V055005 = V582378 + 1. assign V363860 = V861998 - 1. assign V680046 = V595814 - 1. assign V168214 = V412125 + 1. assign V793626 = V130121. assign V651347 = V324910 - 1. assign V804213 = V201998 + 1. assign V723266 = V197756 + 1. assign V550799 = V359942 - 1. assign V648895 = V812599. assign V240863 = V678953 + 1. assign V861998 = V582378 - 1. assign V558787 = V538526. assign V084047 = V421250. assign V898087 = V127204 + 1. assign V248748 = V132765. assign V197756 = V366725 - 1. assign V882035 = V804213 + 1. assign V928955 = V729787. assign V251445 = V061047 - 1. assign V478093 = V654177 + 1. assign V613786 = V760066 + 1. assign V843362 = V229791 - 1. assign V406491 = V550799 - 1. assign V422646 = V690818. assign V888534 = V931032. assign V170435 = V366725 - 1. assign V477025 = V154774 - 1. assign V359942 = V349952. assign V840023 = V130121 - 1. assign V895663 = V201998 - 1. assign V538526 = V945479. assign V531746 = V130121. assign V050213 = V888534. assign V708811 = V201998 + 1. assign V582378 = V349952 - 1. assign V682445 = V729787 + 1. assign V130121 = V857754 - 1. assign V967118 = V197756 - 1. assign V213772 = V973571. assign V595814 = V861998. assign V187129 = V342630. assign V811074 = V936225 + 1. assign V580860 = V740485 + 1. assign V276212 = V154774. assign V875423 = V864019. assign V944926 = V928955 - 1. assign V124870 = V477025 + 1. assign V785120 = V895663 - 1. assign V183236 = V303935. assign V349952 = V760066 - 1. assign V830814 = V729787 - 1. assign V993083 = V767514. assign V946175 = V931032 + 1. assign V903181 = V989174. assign V553836 = V580860. assign V380631 = V130121 - 1. assign V610988 = V723266 + 1. assign V412125 = V678953 - 1. assign V057237 = V127204 - 1. assign V812599 = V201998. assign V264799 = V124870 + 1. assign V393319 = V928955 - 1. assign V619052 = V989174 - 1. assign V477825 = V895663 - 1. assign V723059 = V126881. assign V864019 = V201998. assign V469963 = V406491 + 1. assign V838882 = V454572 - 1. assign V013135 = V349952 - 1. assign V668781 = V213772 + 1. assign V755086 = V840023 + 1. assign V324435 = V619052 - 1. assign V838234 = V197756 - 1. assign V945479 = V342630. assign V221075 = V729787. assign V762558 = V226975 - 1. assign V355168 = V740485 + 1. assign V507053 = V864019. assign V973571 = V857754 - 1. assign V266558 = V853350 - 1. assign V289175 = V760066. assign V698043 = V945479 + 1. assign V154774 = V289175. assign V483507 = V248748. assign V106244 = V740485 + 1. assign V201998 = V366725. assign V683154 = V132765. assign V654177 = V342630. assign V219305 = V767514. assign V820064 = V132765. assign V366725 = V130121 + 1. assign V568831 = V931032 + 1. assign V714932 = V864019 - 1. assign V958164 = V366725 + 1. assign V638687 = V355168 + 1. assign V147672 = V830814 + 1. assign V388038 = V349952 + 1. assign V931032 = V729787 - 1. assign V027404 = V740485 + 1. assign V152745 = V481850 - 1. assign V172705 = V324435 - 1. assign V624283 = V013135. assign V154338 = V683154 - 1. assign V632041 = V393319 + 1. assign V351640 = V132765 + 1. assign V656745 = V967118 - 1. assign V989174 = V936225 - 1. assign V978281 = V929455. assign V790497 = V741236 - 1. assign V115311 = V895663 - 1. assign V624602 = V351640 - 1. assign V953466 = V172705 + 1. assign V324910 = V936225 - 1. assign V455562 = V790497 - 1. assign V853350 = V861998 + 1. assign V690818 = V741236 - 1. assign V053184 = V314467 + 1. assign V064952 = V624283 - 1. assign V214418 = V266558. assign V226975 = V027404 + 1. assign V739784 = V013135. assign V303935 = V804213. assign V421250 = V027404 + 1. assign V046077 = V729787. assign V314467 = V202195 + 1. assign V892860 = V729787 + 1. assign V808225 = V610988 + 1. assign V127204 = V349952. assign V767514 = V895663 + 1. assign V119569 = V380631 + 1. assign V741236 = V760066 + 1. assign V202195 = V240863 + 1. assign V481850 = 2. assign V408782 = V812599 + 1. assign V374576 = V406491 - 1. assign V752147 = V154774 - 1. assign V549995 = V967118 + 1. assign V678953 = V289175 + 1. assign V517453 = V553836. assign V498615 = V767514 + 1. assign V772497 = V729787 - 1. assign V429594 = V682445 - 1. assign V933711 = V172705 - 1. assign V857754 = V741236 - 1. assign V531486 = V351640 - 1. assign V740485 = V760066 + 1. assign V259093 = V903181. assign V132765 = V892860. assign V458678 = V183236 - 1. assign V997948 = V324435 + 1. assign V729787 = V349952. assign V229791 = V130121. assign V454572 = V132765. assign V005919 = V342630 - 1. assign V342630 = V760066. assign V288516 = V632041. assign V189422 = V739784. assign V061047 = V619052 + 1. assign V749463 = V549995 + 1. assign V669469 = V187129. assign V805325 = V638687 + 1. assign V798492 = V610988 - 1. assign V929455 = V170435. assign V936225 = V582378 + 1. assign V414728 = V289175. assign V126881 = V740485 + 1. assign V879655 = V888534 + 1. assign V752671 = V061047 - 1. assign V175127 = V772497.\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):\nV481850 = 2;\n\nFrom these direct assignment(s), we have: \nV152745 = V481850 - 1 = 2 - 1 =1;\nNo other variables can be derived from V152745;\nNo other variables can be derived from V481850;\n\nNow we have done all the calculations. Derived variables are:\nV481850 = 2;\nV152745 = 1;\n\nNow we have finished this problem. ANSWER:\nV152745\n", "role": "assistant" } ]

[ "V404998" ]

[ { "content": "<context>\nassign V695408 = V568949 + 1. assign V649915 = V396408 + 1. assign V345767 = V954027 - 1. assign V534132 = V991314 + 1. assign V295723 = V635514 + 1. assign V133234 = V712676 + 1. assign V542269 = V111892. assign V108478 = V933845 + 1. assign V706425 = V991314 - 1. assign V943629 = V712676 - 1. assign V040478 = V847267 - 1. assign V305876 = V671058 - 1. assign V889733 = V431374. assign V719685 = V500041 - 1. assign V613413 = V551601 - 1. assign V291633 = V111892 + 1. assign V186126 = V706425 - 1. assign V041169 = V271733 - 1. assign V510235 = V719685 + 1. assign V014928 = V766033. assign V383141 = V633807 + 1. assign V002123 = V782373. assign V982365 = V782373 - 1. assign V863537 = V721577 + 1. assign V396408 = V587082 - 1. assign V677456 = V329907 - 1. assign V889236 = V396408 - 1. assign V722548 = V345767 - 1. assign V199959 = V330211. assign V694639 = V139065 - 1. assign V183182 = V859048. assign V953580 = V111892. assign V500041 = V587082 + 1. assign V445259 = V566578 - 1. assign V868355 = V953580. assign V418678 = V220629. assign V916233 = V049993. assign V198769 = V186126. assign V622012 = V312862 - 1. assign V958405 = V193933. assign V587082 = V084555 - 1. assign V683336 = V671058. assign V470457 = V431374. assign V985563 = V916233. assign V718556 = V312862 + 1. assign V217192 = V220629 - 1. assign V673678 = V522379. assign V185530 = V733287 + 1. assign V796135 = V041169 - 1. assign V667481 = V431374 - 1. assign V581230 = V933845. assign V742959 = V848516 + 1. assign V188601 = V909531 + 1. assign V031616 = V066937. assign V065700 = V500041 - 1. assign V511217 = V617845 + 1. assign V021297 = V960723 + 1. assign V510975 = V869213. assign V950739 = V041169. assign V025467 = V718556 + 1. assign V791783 = V757345 + 1. assign V016008 = V330211. assign V111892 = V084555 + 1. assign V952806 = V271733 + 1. assign V954027 = V329907 - 1. assign V105585 = V635873 - 1. assign V890733 = V662245 - 1. assign V248203 = V084555. assign V719588 = V719685. assign V206788 = V950225 - 1. assign V859048 = V084555 - 1. assign V148846 = V566578 - 1. assign V099865 = V757345 - 1. assign V991314 = V933845 + 1. assign V010252 = V111892 - 1. assign V782373 = V568949. assign V720651 = V330211 - 1. assign V040021 = V291633 - 1. assign V066937 = V041169. assign V019652 = V014928 - 1. assign V961878 = V345767 - 1. assign V038660 = V953580. assign V774432 = V889236 + 1. assign V388947 = V404998 + 1. assign V545754 = V859048 - 1. assign V909531 = V859048 + 1. assign V847267 = V396408. assign V626685 = V111892 + 1. assign V557592 = V291633 + 1. assign V108935 = V985563 - 1. assign V662245 = V198769 + 1. assign V296382 = V856794 - 1. assign V157791 = V626685 - 1. assign V863549 = V909531 - 1. assign V568949 = V613413 + 1. assign V540741 = V065700 - 1. assign V399623 = V635514 - 1. assign V633807 = V733287 - 1. assign V330211 = V500041. assign V049993 = V329907 - 1. assign V308613 = V667481. assign V993816 = V271733. assign V656286 = V626685 - 1. assign V744754 = V041169. assign V733287 = V545754 + 1. assign V330975 = V220629 + 1. assign V411933 = V856803 + 1. assign V766033 = V108478. assign V257153 = V883612 + 1. assign V852431 = V933845 - 1. assign V101270 = V557592 - 1. assign V522379 = V186126 + 1. assign V933845 = V568949 + 1. assign V845182 = V330211 - 1. assign V902611 = V774432. assign V404998 = 3. assign V505060 = V633807 - 1. assign V271733 = V139065. assign V409384 = V791783 + 1. assign V382284 = V852431. assign V856794 = V587082 + 1. assign V246235 = V718556. assign V950225 = V075463 + 1. assign V652677 = V960723 - 1. assign V597305 = V868355 - 1. assign V083643 = V617845. assign V943119 = V869213 - 1. assign V369782 = V909531. assign V084555 = V312862 + 1. assign V458431 = V847267 + 1. assign V310895 = V622012. assign V420071 = V635514 + 1. assign V275241 = V599270. assign V368600 = V953580 - 1. assign V083752 = V721577 + 1. assign V566578 = V718556 + 1. assign V937989 = V916233. assign V671058 = V587082. assign V517732 = V111892. assign V883612 = V856803 - 1. assign V657802 = V622012. assign V712676 = V635514. assign V869213 = V133234 + 1. assign V431374 = V084555 + 1. assign V932692 = V183182 + 1. assign V329907 = V500041 - 1. assign V466108 = V909531 - 1. assign V916598 = V500041. assign V599270 = V551601 + 1. assign V617845 = V671058 - 1. assign V658535 = V049993 + 1. assign V981288 = V041169 + 1. assign V721577 = V719588 + 1. assign V757345 = V041169 + 1. assign V856803 = V568949 - 1. assign V139065 = V613413. assign V633828 = V185530 + 1. assign V551601 = V587082 + 1. assign V892500 = V545754 - 1. assign V260108 = V958405 + 1. assign V415275 = V246235. assign V338470 = V396408 - 1. assign V960723 = V712676 + 1. assign V635514 = V796135. assign V220629 = V909531. assign V635873 = V757345 - 1. assign V848516 = V281393 + 1. assign V281393 = V084555 - 1. assign V925258 = V859048 - 1. assign V193933 = V522379. assign V075463 = V649915. assign V098957 = V248203.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V695408 = V568949 + 1. assign V649915 = V396408 + 1. assign V345767 = V954027 - 1. assign V534132 = V991314 + 1. assign V295723 = V635514 + 1. assign V133234 = V712676 + 1. assign V542269 = V111892. assign V108478 = V933845 + 1. assign V706425 = V991314 - 1. assign V943629 = V712676 - 1. assign V040478 = V847267 - 1. assign V305876 = V671058 - 1. assign V889733 = V431374. assign V719685 = V500041 - 1. assign V613413 = V551601 - 1. assign V291633 = V111892 + 1. assign V186126 = V706425 - 1. assign V041169 = V271733 - 1. assign V510235 = V719685 + 1. assign V014928 = V766033. assign V383141 = V633807 + 1. assign V002123 = V782373. assign V982365 = V782373 - 1. assign V863537 = V721577 + 1. assign V396408 = V587082 - 1. assign V677456 = V329907 - 1. assign V889236 = V396408 - 1. assign V722548 = V345767 - 1. assign V199959 = V330211. assign V694639 = V139065 - 1. assign V183182 = V859048. assign V953580 = V111892. assign V500041 = V587082 + 1. assign V445259 = V566578 - 1. assign V868355 = V953580. assign V418678 = V220629. assign V916233 = V049993. assign V198769 = V186126. assign V622012 = V312862 - 1. assign V958405 = V193933. assign V587082 = V084555 - 1. assign V683336 = V671058. assign V470457 = V431374. assign V985563 = V916233. assign V718556 = V312862 + 1. assign V217192 = V220629 - 1. assign V673678 = V522379. assign V185530 = V733287 + 1. assign V796135 = V041169 - 1. assign V667481 = V431374 - 1. assign V581230 = V933845. assign V742959 = V848516 + 1. assign V188601 = V909531 + 1. assign V031616 = V066937. assign V065700 = V500041 - 1. assign V511217 = V617845 + 1. assign V021297 = V960723 + 1. assign V510975 = V869213. assign V950739 = V041169. assign V025467 = V718556 + 1. assign V791783 = V757345 + 1. assign V016008 = V330211. assign V111892 = V084555 + 1. assign V952806 = V271733 + 1. assign V954027 = V329907 - 1. assign V105585 = V635873 - 1. assign V890733 = V662245 - 1. assign V248203 = V084555. assign V719588 = V719685. assign V206788 = V950225 - 1. assign V859048 = V084555 - 1. assign V148846 = V566578 - 1. assign V099865 = V757345 - 1. assign V991314 = V933845 + 1. assign V010252 = V111892 - 1. assign V782373 = V568949. assign V720651 = V330211 - 1. assign V040021 = V291633 - 1. assign V066937 = V041169. assign V019652 = V014928 - 1. assign V961878 = V345767 - 1. assign V038660 = V953580. assign V774432 = V889236 + 1. assign V388947 = V404998 + 1. assign V545754 = V859048 - 1. assign V909531 = V859048 + 1. assign V847267 = V396408. assign V626685 = V111892 + 1. assign V557592 = V291633 + 1. assign V108935 = V985563 - 1. assign V662245 = V198769 + 1. assign V296382 = V856794 - 1. assign V157791 = V626685 - 1. assign V863549 = V909531 - 1. assign V568949 = V613413 + 1. assign V540741 = V065700 - 1. assign V399623 = V635514 - 1. assign V633807 = V733287 - 1. assign V330211 = V500041. assign V049993 = V329907 - 1. assign V308613 = V667481. assign V993816 = V271733. assign V656286 = V626685 - 1. assign V744754 = V041169. assign V733287 = V545754 + 1. assign V330975 = V220629 + 1. assign V411933 = V856803 + 1. assign V766033 = V108478. assign V257153 = V883612 + 1. assign V852431 = V933845 - 1. assign V101270 = V557592 - 1. assign V522379 = V186126 + 1. assign V933845 = V568949 + 1. assign V845182 = V330211 - 1. assign V902611 = V774432. assign V404998 = 3. assign V505060 = V633807 - 1. assign V271733 = V139065. assign V409384 = V791783 + 1. assign V382284 = V852431. assign V856794 = V587082 + 1. assign V246235 = V718556. assign V950225 = V075463 + 1. assign V652677 = V960723 - 1. assign V597305 = V868355 - 1. assign V083643 = V617845. assign V943119 = V869213 - 1. assign V369782 = V909531. assign V084555 = V312862 + 1. assign V458431 = V847267 + 1. assign V310895 = V622012. assign V420071 = V635514 + 1. assign V275241 = V599270. assign V368600 = V953580 - 1. assign V083752 = V721577 + 1. assign V566578 = V718556 + 1. assign V937989 = V916233. assign V671058 = V587082. assign V517732 = V111892. assign V883612 = V856803 - 1. assign V657802 = V622012. assign V712676 = V635514. assign V869213 = V133234 + 1. assign V431374 = V084555 + 1. assign V932692 = V183182 + 1. assign V329907 = V500041 - 1. assign V466108 = V909531 - 1. assign V916598 = V500041. assign V599270 = V551601 + 1. assign V617845 = V671058 - 1. assign V658535 = V049993 + 1. assign V981288 = V041169 + 1. assign V721577 = V719588 + 1. assign V757345 = V041169 + 1. assign V856803 = V568949 - 1. assign V139065 = V613413. assign V633828 = V185530 + 1. assign V551601 = V587082 + 1. assign V892500 = V545754 - 1. assign V260108 = V958405 + 1. assign V415275 = V246235. assign V338470 = V396408 - 1. assign V960723 = V712676 + 1. assign V635514 = V796135. assign V220629 = V909531. assign V635873 = V757345 - 1. assign V848516 = V281393 + 1. assign V281393 = V084555 - 1. assign V925258 = V859048 - 1. assign V193933 = V522379. assign V075463 = V649915. assign V098957 = V248203.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV404998 = 3;\n\nFrom these direct assignment(s), we have: \nV388947 = V404998 + 1 = 3 + 1 =4;\nNo other variables can be derived from V388947;\nNo other variables can be derived from V404998;\n\nNow we have done all the calculations. Derived variables are:\nV404998 = 3;\nV388947 = 4;\n\nNow we have finished this problem. ANSWER:\nV404998\n", "role": "assistant" } ]

[ "V369030" ]

[ { "content": "<context>\nassign V938575 = V783717 + 1. assign V308211 = V335001. assign V016051 = V535047 - 1. assign V286851 = V656212 + 1. assign V672060 = V618627 + 1. assign V404746 = V634462. assign V949087 = V286851. assign V089873 = V805474 - 1. assign V656212 = V783717 - 1. assign V417374 = V782379 - 1. assign V385623 = V318948. assign V254700 = V369030 - 1. assign V799838 = V697864 - 1. assign V418673 = V957886. assign V718900 = V219494 - 1. assign V429138 = V619240 + 1. assign V070421 = V427006 + 1. assign V433301 = V356246 + 1. assign V173782 = V305615. assign V838337 = V269640 - 1. assign V881341 = V308211 - 1. assign V021831 = V705265 + 1. assign V547918 = V782379 + 1. assign V758968 = V098248 + 1. assign V108003 = V356246. assign V452675 = V881441 + 1. assign V241318 = V451247 + 1. assign V183331 = V838337 + 1. assign V783717 = V168739. assign V357011 = V161976 - 1. assign V403830 = V938575 + 1. assign V356279 = V630743. assign V619240 = V424536 + 1. assign V940509 = V783717. assign V799401 = V403830. assign V400934 = V340391 - 1. assign V469786 = V750643. assign V398497 = V656212 + 1. assign V397662 = V044784. assign V058352 = V705265 - 1. assign V959779 = V631305 + 1. assign V673555 = V718900. assign V375145 = V992467 + 1. assign V634462 = V021831 - 1. assign V715703 = V672060 + 1. assign V424536 = V656212 - 1. assign V298036 = V605663 - 1. assign V528332 = V750643 - 1. assign V959103 = V370515 - 1. assign V299205 = V940509 - 1. assign V389109 = V718900 - 1. assign V873413 = V297694. assign V152230 = V398497 + 1. assign V957886 = V286851 - 1. assign V807034 = V168739. assign V823706 = V438365 - 1. assign V618627 = V782379 + 1. assign V088668 = V719612. assign V750643 = V630743. assign V197123 = V058352 + 1. assign V436036 = V804299 + 1. assign V282522 = V427006 + 1. assign V356246 = V215031 - 1. assign V535047 = V605663 + 1. assign V297694 = V783717 + 1. assign V451247 = V255836 - 1. assign V622156 = V297694. assign V894962 = V833634 - 1. assign V371618 = V257938. assign V215031 = V098248 + 1. assign V729207 = V957886 + 1. assign V719709 = V697864 - 1. assign V255836 = V564059 + 1. assign V012415 = V987870 + 1. assign V630743 = V315623. assign V065743 = V992467 + 1. assign V382105 = V398497. assign V782379 = V356279. assign V219494 = V215031 + 1. assign V438365 = V656212 - 1. assign V804299 = V370515. assign V257938 = V012415 + 1. assign V288444 = V403830. assign V759150 = V202518. assign V407994 = V783717 - 1. assign V148118 = V782379 + 1. assign V188988 = V297694. assign V453644 = V108003 - 1. assign V895330 = V424536. assign V195929 = V618627. assign V104097 = V634462 + 1. assign V705265 = V286851. assign V679164 = V750643 - 1. assign V305615 = V108003 + 1. assign V827070 = V104097 - 1. assign V269640 = V094028 + 1. assign V868768 = V315623 + 1. assign V476575 = V424536 + 1. assign V318948 = V335001. assign V150224 = V807034 + 1. assign V043826 = V400934 - 1. assign V055520 = V403830 + 1. assign V615808 = V328076 + 1. assign V340391 = V188988 - 1. assign V805474 = V672060. assign V369030 = 8. assign V001767 = V838337. assign V509143 = V288444. assign V987870 = V656212. assign V908538 = V152230 - 1. assign V265431 = V961318 + 1. assign V116590 = V705265 - 1. assign V168739 = V630743 - 1. assign V992467 = V315623 - 1. assign V835742 = V759150. assign V945928 = V729207 - 1. assign V315746 = V215031. assign V203710 = V334788 - 1. assign V202518 = V370515 - 1. assign V489507 = V400934 - 1. assign V995668 = V215031 + 1. assign V169032 = V920202 - 1. assign V580202 = V315746. assign V034826 = V514534. assign V931393 = V640449 + 1. assign V612306 = V094028 + 1. assign V094028 = V807034 - 1. assign V128817 = V799838 - 1. assign V917955 = V705265 - 1. assign V098418 = V102045 + 1. assign V044784 = V215031. assign V605663 = V297694 - 1. assign V370515 = V102045. assign V203209 = V188988 + 1. assign V920202 = V931393 + 1. assign V771416 = V098248 - 1. assign V514534 = V094028 - 1. assign V833634 = V938575. assign V134913 = V315623. assign V724702 = V959103 - 1. assign V640449 = V315623. assign V127554 = V868768. assign V237946 = V429138 + 1. assign V446497 = V288444. assign V783670 = V134913 - 1. assign V564059 = V782379 - 1. assign V460977 = V098418 + 1. assign V208586 = V403830. assign V098248 = V398497 + 1. assign V961318 = V718900 - 1. assign V335001 = V148118. assign V334788 = V398497 - 1. assign V881441 = V012415 - 1. assign V982313 = V104097. assign V052102 = V297694 - 1. assign V721164 = V407994. assign V161976 = V255836 - 1. assign V631305 = V398497. assign V697864 = V823706 - 1. assign V018406 = V356279 - 1. assign V368226 = V697864 - 1. assign V908502 = V183331 - 1. assign V730552 = V931393 + 1. assign V102045 = V315623 + 1. assign V403957 = V148118 + 1. assign V307347 = V299205. assign V328076 = V044784. assign V646222 = V673555 + 1. assign V427006 = V356246 - 1. assign V698427 = V052102. assign V719612 = V215031. assign V288032 = V460977.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V938575 = V783717 + 1. assign V308211 = V335001. assign V016051 = V535047 - 1. assign V286851 = V656212 + 1. assign V672060 = V618627 + 1. assign V404746 = V634462. assign V949087 = V286851. assign V089873 = V805474 - 1. assign V656212 = V783717 - 1. assign V417374 = V782379 - 1. assign V385623 = V318948. assign V254700 = V369030 - 1. assign V799838 = V697864 - 1. assign V418673 = V957886. assign V718900 = V219494 - 1. assign V429138 = V619240 + 1. assign V070421 = V427006 + 1. assign V433301 = V356246 + 1. assign V173782 = V305615. assign V838337 = V269640 - 1. assign V881341 = V308211 - 1. assign V021831 = V705265 + 1. assign V547918 = V782379 + 1. assign V758968 = V098248 + 1. assign V108003 = V356246. assign V452675 = V881441 + 1. assign V241318 = V451247 + 1. assign V183331 = V838337 + 1. assign V783717 = V168739. assign V357011 = V161976 - 1. assign V403830 = V938575 + 1. assign V356279 = V630743. assign V619240 = V424536 + 1. assign V940509 = V783717. assign V799401 = V403830. assign V400934 = V340391 - 1. assign V469786 = V750643. assign V398497 = V656212 + 1. assign V397662 = V044784. assign V058352 = V705265 - 1. assign V959779 = V631305 + 1. assign V673555 = V718900. assign V375145 = V992467 + 1. assign V634462 = V021831 - 1. assign V715703 = V672060 + 1. assign V424536 = V656212 - 1. assign V298036 = V605663 - 1. assign V528332 = V750643 - 1. assign V959103 = V370515 - 1. assign V299205 = V940509 - 1. assign V389109 = V718900 - 1. assign V873413 = V297694. assign V152230 = V398497 + 1. assign V957886 = V286851 - 1. assign V807034 = V168739. assign V823706 = V438365 - 1. assign V618627 = V782379 + 1. assign V088668 = V719612. assign V750643 = V630743. assign V197123 = V058352 + 1. assign V436036 = V804299 + 1. assign V282522 = V427006 + 1. assign V356246 = V215031 - 1. assign V535047 = V605663 + 1. assign V297694 = V783717 + 1. assign V451247 = V255836 - 1. assign V622156 = V297694. assign V894962 = V833634 - 1. assign V371618 = V257938. assign V215031 = V098248 + 1. assign V729207 = V957886 + 1. assign V719709 = V697864 - 1. assign V255836 = V564059 + 1. assign V012415 = V987870 + 1. assign V630743 = V315623. assign V065743 = V992467 + 1. assign V382105 = V398497. assign V782379 = V356279. assign V219494 = V215031 + 1. assign V438365 = V656212 - 1. assign V804299 = V370515. assign V257938 = V012415 + 1. assign V288444 = V403830. assign V759150 = V202518. assign V407994 = V783717 - 1. assign V148118 = V782379 + 1. assign V188988 = V297694. assign V453644 = V108003 - 1. assign V895330 = V424536. assign V195929 = V618627. assign V104097 = V634462 + 1. assign V705265 = V286851. assign V679164 = V750643 - 1. assign V305615 = V108003 + 1. assign V827070 = V104097 - 1. assign V269640 = V094028 + 1. assign V868768 = V315623 + 1. assign V476575 = V424536 + 1. assign V318948 = V335001. assign V150224 = V807034 + 1. assign V043826 = V400934 - 1. assign V055520 = V403830 + 1. assign V615808 = V328076 + 1. assign V340391 = V188988 - 1. assign V805474 = V672060. assign V369030 = 8. assign V001767 = V838337. assign V509143 = V288444. assign V987870 = V656212. assign V908538 = V152230 - 1. assign V265431 = V961318 + 1. assign V116590 = V705265 - 1. assign V168739 = V630743 - 1. assign V992467 = V315623 - 1. assign V835742 = V759150. assign V945928 = V729207 - 1. assign V315746 = V215031. assign V203710 = V334788 - 1. assign V202518 = V370515 - 1. assign V489507 = V400934 - 1. assign V995668 = V215031 + 1. assign V169032 = V920202 - 1. assign V580202 = V315746. assign V034826 = V514534. assign V931393 = V640449 + 1. assign V612306 = V094028 + 1. assign V094028 = V807034 - 1. assign V128817 = V799838 - 1. assign V917955 = V705265 - 1. assign V098418 = V102045 + 1. assign V044784 = V215031. assign V605663 = V297694 - 1. assign V370515 = V102045. assign V203209 = V188988 + 1. assign V920202 = V931393 + 1. assign V771416 = V098248 - 1. assign V514534 = V094028 - 1. assign V833634 = V938575. assign V134913 = V315623. assign V724702 = V959103 - 1. assign V640449 = V315623. assign V127554 = V868768. assign V237946 = V429138 + 1. assign V446497 = V288444. assign V783670 = V134913 - 1. assign V564059 = V782379 - 1. assign V460977 = V098418 + 1. assign V208586 = V403830. assign V098248 = V398497 + 1. assign V961318 = V718900 - 1. assign V335001 = V148118. assign V334788 = V398497 - 1. assign V881441 = V012415 - 1. assign V982313 = V104097. assign V052102 = V297694 - 1. assign V721164 = V407994. assign V161976 = V255836 - 1. assign V631305 = V398497. assign V697864 = V823706 - 1. assign V018406 = V356279 - 1. assign V368226 = V697864 - 1. assign V908502 = V183331 - 1. assign V730552 = V931393 + 1. assign V102045 = V315623 + 1. assign V403957 = V148118 + 1. assign V307347 = V299205. assign V328076 = V044784. assign V646222 = V673555 + 1. assign V427006 = V356246 - 1. assign V698427 = V052102. assign V719612 = V215031. assign V288032 = V460977.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV369030 = 8;\n\nFrom these direct assignment(s), we have: \nV254700 = V369030 - 1 = 8 - 1 =7;\nNo other variables can be derived from V254700;\nNo other variables can be derived from V369030;\n\nNow we have done all the calculations. Derived variables are:\nV369030 = 8;\nV254700 = 7;\n\nNow we have finished this problem. ANSWER:\nV369030\n", "role": "assistant" } ]

[ "V653829" ]

[ { "content": "<context>\nassign V469288 = V094902 - 1. assign V950808 = V052542 - 1. assign V938274 = V850543. assign V909428 = V358854. assign V400587 = V659899 + 1. assign V963109 = V190126 + 1. assign V181247 = V847064 + 1. assign V928675 = V255245 - 1. assign V358948 = V743478 + 1. assign V741675 = 4. assign V774829 = V672143 + 1. assign V232766 = V837862. assign V933750 = V442503 - 1. assign V094902 = V708513. assign V616311 = V667151 + 1. assign V519520 = V313134 - 1. assign V033091 = V909077 - 1. assign V697070 = V173105 - 1. assign V544090 = V537422 + 1. assign V556349 = V807169 + 1. assign V807169 = V032941 + 1. assign V663946 = V945382. assign V564824 = V422569 - 1. assign V271964 = V191041. assign V082244 = V997737. assign V335643 = V455022. assign V964830 = V131071. assign V770733 = V180160. assign V729351 = V358854 - 1. assign V030514 = V997737. assign V904804 = V082244. assign V425433 = V262076 + 1. assign V646250 = V762049 - 1. assign V487841 = V194732 + 1. assign V869261 = V749672. assign V618110 = V571596 + 1. assign V343546 = V108451. assign V540001 = V245980. assign V997737 = V762049. assign V476806 = V293913 + 1. assign V333506 = V659899. assign V549585 = V370424 + 1. assign V415127 = V663946 + 1. assign V382555 = V232766. assign V806185 = V814248 + 1. assign V022208 = V335643 + 1. assign V191041 = V449815. assign V375963 = V823418 + 1. assign V923640 = V296841 + 1. assign V024100 = V823418. assign V370424 = V997737. assign V745671 = V823418. assign V348114 = V024100 + 1. assign V258877 = V343546 + 1. assign V672143 = V663946 - 1. assign V364162 = V701974. assign V847064 = V823418. assign V853242 = V717895 - 1. assign V422569 = V847064 - 1. assign V378354 = V194732 + 1. assign V042016 = V945382. assign V883248 = V258877 + 1. assign V571596 = V442503. assign V749672 = V383727. assign V131071 = V997737. assign V653829 = V741675 + 1. assign V930103 = V119638. assign V310422 = V964830 - 1. assign V863035 = V031094 + 1. assign V580549 = V582019 + 1. assign V667151 = V823418. assign V452847 = V898147. assign V711023 = V749672 - 1. assign V823418 = V933750 + 1. assign V330397 = V452847 - 1. assign V293913 = V655300 - 1. assign V417998 = V847064 + 1. assign V708513 = V063402 + 1. assign V731142 = V422569 - 1. assign V327724 = V582019 - 1. assign V067992 = V455022 + 1. assign V655300 = V847064 + 1. assign V313134 = V358854 - 1. assign V333928 = V422569. assign V554587 = V841912. assign V051404 = V375963 + 1. assign V290299 = V898147 + 1. assign V001456 = V232766 + 1. assign V275119 = V537422. assign V701974 = V469288. assign V503052 = V672143 - 1. assign V479072 = V030514 - 1. assign V659360 = V997737. assign V477167 = V898147. assign V881496 = V745671 + 1. assign V194045 = V094902. assign V508143 = V658607 + 1. assign V196511 = V697070. assign V395115 = V422569 + 1. assign V117396 = V823418 + 1. assign V714316 = V663946. assign V814248 = V116688. assign V624871 = V749672. assign V568712 = V128262. assign V974766 = V701974 - 1. assign V636339 = V024100 - 1. assign V748013 = V587682 + 1. assign V959091 = V215644 - 1. assign V663958 = V508143. assign V402420 = V637591 - 1. assign V837862 = V616311 + 1. assign V585481 = V762049. assign V262076 = V663946 + 1. assign V537422 = V063402 + 1. assign V162132 = V663946 - 1. assign V358854 = V422569 + 1. assign V296841 = V030514 - 1. assign V525591 = V117396 - 1. assign V190126 = V030514 - 1. assign V275205 = V869261. assign V995429 = V748013. assign V850543 = V082244 + 1. assign V215644 = V823418 - 1. assign V194732 = V117396 + 1. assign V057578 = V383727 - 1. assign V898147 = V417998 - 1. assign V453806 = V108451. assign V032941 = V933750 + 1. assign V658607 = V358854 - 1. assign V841912 = V131071 + 1. assign V737590 = V869261. assign V143369 = V032941. assign V547444 = V477167 + 1. assign V717895 = V658607. assign V743478 = V094902 + 1. assign V449815 = V174743 - 1. assign V063402 = V585481. assign V659899 = V997737 - 1. assign V087437 = V108451 - 1. assign V582019 = V375963 - 1. assign V173105 = V564824 + 1. assign V255245 = V847064. assign V180160 = V031094 - 1. assign V489199 = V335643 + 1. assign V214490 = V580549 - 1. assign V945382 = V383727. assign V477908 = V400587. assign V344307 = V869261 - 1. assign V031094 = V847064. assign V926576 = V762049 - 1. assign V938722 = V549585. assign V174743 = V030514 - 1. assign V637217 = V383727 - 1. assign V455022 = V030514 - 1. assign V108451 = V417998 - 1. assign V128262 = V358854 + 1. assign V637591 = V749672 + 1. assign V825653 = V909077 + 1. assign V610934 = V131071 + 1. assign V996789 = V748013. assign V406642 = V933750 - 1. assign V615044 = V582019 - 1. assign V245980 = V032941 - 1. assign V909077 = V108451 + 1. assign V762049 = V933750 - 1. assign V383727 = V215644 - 1. assign V119638 = V708513. assign V242357 = V749672 + 1. assign V587682 = V117396 - 1. assign V052542 = V262076 + 1. assign V555554 = V375963. assign V116688 = V585481 + 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 V469288 = V094902 - 1. assign V950808 = V052542 - 1. assign V938274 = V850543. assign V909428 = V358854. assign V400587 = V659899 + 1. assign V963109 = V190126 + 1. assign V181247 = V847064 + 1. assign V928675 = V255245 - 1. assign V358948 = V743478 + 1. assign V741675 = 4. assign V774829 = V672143 + 1. assign V232766 = V837862. assign V933750 = V442503 - 1. assign V094902 = V708513. assign V616311 = V667151 + 1. assign V519520 = V313134 - 1. assign V033091 = V909077 - 1. assign V697070 = V173105 - 1. assign V544090 = V537422 + 1. assign V556349 = V807169 + 1. assign V807169 = V032941 + 1. assign V663946 = V945382. assign V564824 = V422569 - 1. assign V271964 = V191041. assign V082244 = V997737. assign V335643 = V455022. assign V964830 = V131071. assign V770733 = V180160. assign V729351 = V358854 - 1. assign V030514 = V997737. assign V904804 = V082244. assign V425433 = V262076 + 1. assign V646250 = V762049 - 1. assign V487841 = V194732 + 1. assign V869261 = V749672. assign V618110 = V571596 + 1. assign V343546 = V108451. assign V540001 = V245980. assign V997737 = V762049. assign V476806 = V293913 + 1. assign V333506 = V659899. assign V549585 = V370424 + 1. assign V415127 = V663946 + 1. assign V382555 = V232766. assign V806185 = V814248 + 1. assign V022208 = V335643 + 1. assign V191041 = V449815. assign V375963 = V823418 + 1. assign V923640 = V296841 + 1. assign V024100 = V823418. assign V370424 = V997737. assign V745671 = V823418. assign V348114 = V024100 + 1. assign V258877 = V343546 + 1. assign V672143 = V663946 - 1. assign V364162 = V701974. assign V847064 = V823418. assign V853242 = V717895 - 1. assign V422569 = V847064 - 1. assign V378354 = V194732 + 1. assign V042016 = V945382. assign V883248 = V258877 + 1. assign V571596 = V442503. assign V749672 = V383727. assign V131071 = V997737. assign V653829 = V741675 + 1. assign V930103 = V119638. assign V310422 = V964830 - 1. assign V863035 = V031094 + 1. assign V580549 = V582019 + 1. assign V667151 = V823418. assign V452847 = V898147. assign V711023 = V749672 - 1. assign V823418 = V933750 + 1. assign V330397 = V452847 - 1. assign V293913 = V655300 - 1. assign V417998 = V847064 + 1. assign V708513 = V063402 + 1. assign V731142 = V422569 - 1. assign V327724 = V582019 - 1. assign V067992 = V455022 + 1. assign V655300 = V847064 + 1. assign V313134 = V358854 - 1. assign V333928 = V422569. assign V554587 = V841912. assign V051404 = V375963 + 1. assign V290299 = V898147 + 1. assign V001456 = V232766 + 1. assign V275119 = V537422. assign V701974 = V469288. assign V503052 = V672143 - 1. assign V479072 = V030514 - 1. assign V659360 = V997737. assign V477167 = V898147. assign V881496 = V745671 + 1. assign V194045 = V094902. assign V508143 = V658607 + 1. assign V196511 = V697070. assign V395115 = V422569 + 1. assign V117396 = V823418 + 1. assign V714316 = V663946. assign V814248 = V116688. assign V624871 = V749672. assign V568712 = V128262. assign V974766 = V701974 - 1. assign V636339 = V024100 - 1. assign V748013 = V587682 + 1. assign V959091 = V215644 - 1. assign V663958 = V508143. assign V402420 = V637591 - 1. assign V837862 = V616311 + 1. assign V585481 = V762049. assign V262076 = V663946 + 1. assign V537422 = V063402 + 1. assign V162132 = V663946 - 1. assign V358854 = V422569 + 1. assign V296841 = V030514 - 1. assign V525591 = V117396 - 1. assign V190126 = V030514 - 1. assign V275205 = V869261. assign V995429 = V748013. assign V850543 = V082244 + 1. assign V215644 = V823418 - 1. assign V194732 = V117396 + 1. assign V057578 = V383727 - 1. assign V898147 = V417998 - 1. assign V453806 = V108451. assign V032941 = V933750 + 1. assign V658607 = V358854 - 1. assign V841912 = V131071 + 1. assign V737590 = V869261. assign V143369 = V032941. assign V547444 = V477167 + 1. assign V717895 = V658607. assign V743478 = V094902 + 1. assign V449815 = V174743 - 1. assign V063402 = V585481. assign V659899 = V997737 - 1. assign V087437 = V108451 - 1. assign V582019 = V375963 - 1. assign V173105 = V564824 + 1. assign V255245 = V847064. assign V180160 = V031094 - 1. assign V489199 = V335643 + 1. assign V214490 = V580549 - 1. assign V945382 = V383727. assign V477908 = V400587. assign V344307 = V869261 - 1. assign V031094 = V847064. assign V926576 = V762049 - 1. assign V938722 = V549585. assign V174743 = V030514 - 1. assign V637217 = V383727 - 1. assign V455022 = V030514 - 1. assign V108451 = V417998 - 1. assign V128262 = V358854 + 1. assign V637591 = V749672 + 1. assign V825653 = V909077 + 1. assign V610934 = V131071 + 1. assign V996789 = V748013. assign V406642 = V933750 - 1. assign V615044 = V582019 - 1. assign V245980 = V032941 - 1. assign V909077 = V108451 + 1. assign V762049 = V933750 - 1. assign V383727 = V215644 - 1. assign V119638 = V708513. assign V242357 = V749672 + 1. assign V587682 = V117396 - 1. assign V052542 = V262076 + 1. assign V555554 = V375963. assign V116688 = V585481 + 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):\nV741675 = 4;\n\nFrom these direct assignment(s), we have: \nV653829 = V741675 + 1 = 4 + 1 =5;\nNo other variables can be derived from V653829;\nNo other variables can be derived from V741675;\n\nNow we have done all the calculations. Derived variables are:\nV741675 = 4;\nV653829 = 5;\n\nNow we have finished this problem. ANSWER:\nV653829\n", "role": "assistant" } ]

[ "V140628" ]

[ { "content": "<context>\nassign V415002 = V272949. assign V904429 = V765366 - 1. assign V911633 = V569482 + 1. assign V665607 = V941703 - 1. assign V818226 = V503043 + 1. assign V983733 = V984411 - 1. assign V628006 = V681783 + 1. assign V633309 = V377353. assign V330285 = V473273. assign V832736 = V304190. assign V807843 = V865804 - 1. assign V291493 = V108333 + 1. assign V768230 = V678643 + 1. assign V819281 = V419660 - 1. assign V752428 = V597226 - 1. assign V799095 = V577919 + 1. assign V852159 = V983733 + 1. assign V601597 = V637851 - 1. assign V626645 = V262415. assign V924569 = V941703. assign V353785 = V329135. assign V810922 = V519827 + 1. assign V358112 = V419660. assign V739145 = V179389. assign V294931 = V765366 - 1. assign V637851 = V559311. assign V419660 = V108333. assign V400400 = V162266 + 1. assign V678643 = V291493 - 1. assign V921471 = V908860 + 1. assign V410765 = V683968 - 1. assign V667161 = V272949 - 1. assign V764734 = V364527 - 1. assign V419493 = V665607 + 1. assign V276482 = V187868. assign V699612 = V659961 - 1. assign V653294 = V108333 - 1. assign V221539 = V870582 + 1. assign V538871 = V836575. assign V708910 = V269640 - 1. assign V640130 = V984411 + 1. assign V040741 = V559311 + 1. assign V805462 = V938971. assign V682244 = V852159. assign V269640 = V108333 - 1. assign V150047 = V832736. assign V141120 = V353785. assign V579125 = V752428 - 1. assign V765245 = V527723 - 1. assign V870582 = V765366. assign V569482 = V173788. assign V167006 = V304190. assign V659961 = V187868 - 1. assign V741197 = V419660 - 1. assign V112189 = V984411. assign V812039 = V080947. assign V984411 = V062266. assign V463158 = V653294 + 1. assign V547820 = V904429 - 1. assign V503043 = V164237 - 1. assign V413064 = V221539 - 1. assign V631277 = V158090 + 1. assign V878143 = V744747 - 1. assign V819748 = V765366 - 1. assign V364527 = V659390. assign V162266 = V272949. assign V700937 = V179389 + 1. assign V511858 = V329135 - 1. assign V765366 = V173788 - 1. assign V754911 = V941703 - 1. assign V908860 = V819748 + 1. assign V577919 = V870582. assign V092054 = V685488. assign V086181 = V653294. assign V849224 = V193570 + 1. assign V800889 = V665607. assign V329135 = V924569. assign V006060 = V667161. assign V127698 = V941703. assign V536925 = V870582 + 1. assign V471545 = V265294 - 1. assign V503314 = V678643 + 1. assign V390417 = V147539 + 1. assign V996392 = V140628 + 1. assign V164237 = V765366. assign V257119 = V765366 - 1. assign V851585 = V281854 - 1. assign V519464 = V316431 + 1. assign V527723 = V503043. assign V863864 = V765366. assign V226443 = V127698. assign V941703 = V108333. assign V442415 = V413064 - 1. assign V845520 = V924569 - 1. assign V931452 = V699612. assign V341098 = V108333. assign V377353 = V665607 + 1. assign V836575 = V637851. assign V080947 = V442415. assign V166059 = V364527 - 1. assign V262415 = V764734. assign V108333 = V173788 + 1. assign V166310 = V667161. assign V754433 = V216802 + 1. assign V187868 = V127698. assign V786067 = V173788 - 1. assign V519827 = V702006. assign V238858 = V983733. assign V744747 = V108333 - 1. assign V865804 = V173788 + 1. assign V216802 = V503043. assign V559311 = V665607 + 1. assign V265294 = V659390. assign V657154 = V471545 + 1. assign V062266 = V173788 + 1. assign V962069 = V099436 - 1. assign V637818 = V080947. assign V316431 = V108333. assign V347250 = V358112 + 1. assign V355544 = V377353 + 1. assign V228695 = V519827 + 1. assign V815309 = V179389 - 1. assign V325963 = V415002 - 1. assign V099436 = V569482. assign V009430 = V238858. assign V659390 = V358112 - 1. assign V281854 = V863864 + 1. assign V497303 = V657154 + 1. assign V985136 = V511858. assign V175264 = V442415 - 1. assign V853328 = V291493 + 1. assign V678406 = V257119 - 1. assign V482612 = V786067. assign V015079 = V167006 - 1. assign V996492 = V062266 - 1. assign V179389 = V765366 - 1. assign V140628 = 7. assign V360161 = V187868. assign V304190 = V741197 - 1. assign V801544 = V291493 - 1. assign V147539 = V291493 + 1. assign V448152 = V569482 - 1. assign V169347 = V519464 - 1. assign V521841 = V702006 - 1. assign V702006 = V569482. assign V597226 = V870582 - 1. assign V158090 = V659390 + 1. assign V670633 = V984411 + 1. assign V533501 = V924569 + 1. assign V383824 = V141120 - 1. assign V085197 = V419660. assign V049539 = V836575. assign V299077 = V419660 + 1. assign V272949 = V870582 - 1. assign V193570 = V941703 + 1. assign V790989 = V801544 - 1. assign V732933 = V984411 + 1. assign V685488 = V262415. assign V473273 = V924569 - 1. assign V394795 = V765366 - 1. assign V802442 = V329135 + 1. assign V523168 = V394795 + 1. assign V616464 = V291493 + 1. assign V681783 = V667161. assign V967150 = V400400. assign V255461 = V962069 + 1. assign V108746 = V299077 + 1. assign V356881 = V413064 + 1. assign V683968 = V364527 + 1. assign V756449 = V667161 + 1. assign V938971 = V700937 + 1. assign V576505 = V845520 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V415002 = V272949. assign V904429 = V765366 - 1. assign V911633 = V569482 + 1. assign V665607 = V941703 - 1. assign V818226 = V503043 + 1. assign V983733 = V984411 - 1. assign V628006 = V681783 + 1. assign V633309 = V377353. assign V330285 = V473273. assign V832736 = V304190. assign V807843 = V865804 - 1. assign V291493 = V108333 + 1. assign V768230 = V678643 + 1. assign V819281 = V419660 - 1. assign V752428 = V597226 - 1. assign V799095 = V577919 + 1. assign V852159 = V983733 + 1. assign V601597 = V637851 - 1. assign V626645 = V262415. assign V924569 = V941703. assign V353785 = V329135. assign V810922 = V519827 + 1. assign V358112 = V419660. assign V739145 = V179389. assign V294931 = V765366 - 1. assign V637851 = V559311. assign V419660 = V108333. assign V400400 = V162266 + 1. assign V678643 = V291493 - 1. assign V921471 = V908860 + 1. assign V410765 = V683968 - 1. assign V667161 = V272949 - 1. assign V764734 = V364527 - 1. assign V419493 = V665607 + 1. assign V276482 = V187868. assign V699612 = V659961 - 1. assign V653294 = V108333 - 1. assign V221539 = V870582 + 1. assign V538871 = V836575. assign V708910 = V269640 - 1. assign V640130 = V984411 + 1. assign V040741 = V559311 + 1. assign V805462 = V938971. assign V682244 = V852159. assign V269640 = V108333 - 1. assign V150047 = V832736. assign V141120 = V353785. assign V579125 = V752428 - 1. assign V765245 = V527723 - 1. assign V870582 = V765366. assign V569482 = V173788. assign V167006 = V304190. assign V659961 = V187868 - 1. assign V741197 = V419660 - 1. assign V112189 = V984411. assign V812039 = V080947. assign V984411 = V062266. assign V463158 = V653294 + 1. assign V547820 = V904429 - 1. assign V503043 = V164237 - 1. assign V413064 = V221539 - 1. assign V631277 = V158090 + 1. assign V878143 = V744747 - 1. assign V819748 = V765366 - 1. assign V364527 = V659390. assign V162266 = V272949. assign V700937 = V179389 + 1. assign V511858 = V329135 - 1. assign V765366 = V173788 - 1. assign V754911 = V941703 - 1. assign V908860 = V819748 + 1. assign V577919 = V870582. assign V092054 = V685488. assign V086181 = V653294. assign V849224 = V193570 + 1. assign V800889 = V665607. assign V329135 = V924569. assign V006060 = V667161. assign V127698 = V941703. assign V536925 = V870582 + 1. assign V471545 = V265294 - 1. assign V503314 = V678643 + 1. assign V390417 = V147539 + 1. assign V996392 = V140628 + 1. assign V164237 = V765366. assign V257119 = V765366 - 1. assign V851585 = V281854 - 1. assign V519464 = V316431 + 1. assign V527723 = V503043. assign V863864 = V765366. assign V226443 = V127698. assign V941703 = V108333. assign V442415 = V413064 - 1. assign V845520 = V924569 - 1. assign V931452 = V699612. assign V341098 = V108333. assign V377353 = V665607 + 1. assign V836575 = V637851. assign V080947 = V442415. assign V166059 = V364527 - 1. assign V262415 = V764734. assign V108333 = V173788 + 1. assign V166310 = V667161. assign V754433 = V216802 + 1. assign V187868 = V127698. assign V786067 = V173788 - 1. assign V519827 = V702006. assign V238858 = V983733. assign V744747 = V108333 - 1. assign V865804 = V173788 + 1. assign V216802 = V503043. assign V559311 = V665607 + 1. assign V265294 = V659390. assign V657154 = V471545 + 1. assign V062266 = V173788 + 1. assign V962069 = V099436 - 1. assign V637818 = V080947. assign V316431 = V108333. assign V347250 = V358112 + 1. assign V355544 = V377353 + 1. assign V228695 = V519827 + 1. assign V815309 = V179389 - 1. assign V325963 = V415002 - 1. assign V099436 = V569482. assign V009430 = V238858. assign V659390 = V358112 - 1. assign V281854 = V863864 + 1. assign V497303 = V657154 + 1. assign V985136 = V511858. assign V175264 = V442415 - 1. assign V853328 = V291493 + 1. assign V678406 = V257119 - 1. assign V482612 = V786067. assign V015079 = V167006 - 1. assign V996492 = V062266 - 1. assign V179389 = V765366 - 1. assign V140628 = 7. assign V360161 = V187868. assign V304190 = V741197 - 1. assign V801544 = V291493 - 1. assign V147539 = V291493 + 1. assign V448152 = V569482 - 1. assign V169347 = V519464 - 1. assign V521841 = V702006 - 1. assign V702006 = V569482. assign V597226 = V870582 - 1. assign V158090 = V659390 + 1. assign V670633 = V984411 + 1. assign V533501 = V924569 + 1. assign V383824 = V141120 - 1. assign V085197 = V419660. assign V049539 = V836575. assign V299077 = V419660 + 1. assign V272949 = V870582 - 1. assign V193570 = V941703 + 1. assign V790989 = V801544 - 1. assign V732933 = V984411 + 1. assign V685488 = V262415. assign V473273 = V924569 - 1. assign V394795 = V765366 - 1. assign V802442 = V329135 + 1. assign V523168 = V394795 + 1. assign V616464 = V291493 + 1. assign V681783 = V667161. assign V967150 = V400400. assign V255461 = V962069 + 1. assign V108746 = V299077 + 1. assign V356881 = V413064 + 1. assign V683968 = V364527 + 1. assign V756449 = V667161 + 1. assign V938971 = V700937 + 1. assign V576505 = V845520 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV140628 = 7;\n\nFrom these direct assignment(s), we have: \nV996392 = V140628 + 1 = 7 + 1 =8;\nNo other variables can be derived from V996392;\nNo other variables can be derived from V140628;\n\nNow we have done all the calculations. Derived variables are:\nV140628 = 7;\nV996392 = 8;\n\nNow we have finished this problem. ANSWER:\nV140628\n", "role": "assistant" } ]

[ "V363458" ]

[ { "content": "<context>\nassign V357194 = V772323 - 1. assign V740950 = V202383 + 1. assign V451738 = V733671 - 1. assign V983165 = V571940 - 1. assign V493691 = V244518. assign V013680 = V103510 - 1. assign V284419 = V328808 + 1. assign V069696 = V389675. assign V501364 = V187771 + 1. assign V908271 = V647357 - 1. assign V309550 = V014506 - 1. assign V360064 = V140864 + 1. assign V315371 = V022150 + 1. assign V610435 = V814091. assign V795256 = V908377. assign V711670 = V549707 - 1. assign V103510 = V720246. assign V571940 = V847127 - 1. assign V529101 = V357194 + 1. assign V463581 = V586910 - 1. assign V132465 = V960763 + 1. assign V245317 = V989603 + 1. assign V807819 = V645505 + 1. assign V861152 = V908271 + 1. assign V948794 = V140864 + 1. assign V234102 = V367797. assign V482120 = V328808 - 1. assign V260268 = V309550 + 1. assign V989828 = V490413 - 1. assign V823717 = V479574. assign V022150 = V835051. assign V050789 = V835051. assign V895571 = V403632 - 1. assign V747650 = V879587. assign V162242 = V814091 - 1. assign V989603 = V928422 - 1. assign V950782 = V357194 - 1. assign V951024 = V696442. assign V105923 = V960763. assign V169151 = V985755. assign V634927 = V367797 - 1. assign V592032 = V816870. assign V502657 = V908271. assign V835051 = V171438 - 1. assign V352227 = V194993 - 1. assign V704602 = V328808 - 1. assign V908377 = V647571 - 1. assign V529345 = V482120 + 1. assign V931955 = V645505 - 1. assign V014506 = V879587 + 1. assign V395651 = V352227 + 1. assign V751622 = V389675 - 1. assign V816870 = V171438 - 1. assign V928422 = V529101. assign V234329 = V747650 - 1. assign V872095 = V463581 - 1. assign V239858 = V013680. assign V479574 = V171438. assign V427407 = 2. assign V572651 = V493322 - 1. assign V493322 = V529101 - 1. assign V144561 = V872095. assign V207361 = V814091 - 1. assign V341734 = V395651 + 1. assign V678295 = V647571. assign V209992 = V678295 - 1. assign V677019 = V549707. assign V556586 = V549707 - 1. assign V960763 = V586910 - 1. assign V558364 = V669799. assign V093600 = V743523. assign V339158 = V872095. assign V188671 = V645505 - 1. assign V602443 = V352227. assign V168280 = V834517 - 1. assign V684552 = V751622 - 1. assign V937594 = V702205 - 1. assign V367797 = V357194 - 1. assign V553532 = V928422 - 1. assign V593183 = V772323 + 1. assign V490413 = V013680. assign V948010 = V250928 - 1. assign V652600 = V148007 - 1. assign V532429 = V960763 - 1. assign V645505 = V814091 + 1. assign V548943 = V352227 - 1. assign V526456 = V834517 + 1. assign V281007 = V463581. assign V720246 = V879587 - 1. assign V743523 = V706910 - 1. assign V306288 = V985755. assign V870343 = V395651 - 1. assign V363458 = V427407 - 1. assign V847127 = V879587 - 1. assign V244518 = V202383. assign V184197 = V751622 + 1. assign V834517 = V389675. assign V449412 = V357194 - 1. assign V985755 = V647357 + 1. assign V614748 = V140864 + 1. assign V194993 = V610435. assign V196482 = V593183 - 1. assign V723636 = V245601 - 1. assign V267126 = V234102 + 1. assign V696442 = V553507 + 1. assign V639929 = V614176 + 1. assign V553507 = V301345. assign V706910 = V684552. assign V245601 = V014506. assign V578024 = V634927 - 1. assign V711788 = V267126 - 1. assign V647357 = V093159 + 1. assign V660954 = V369966 + 1. assign V067858 = V014506. assign V171438 = V772323 + 1. assign V814091 = V772323. assign V802902 = V157065 - 1. assign V693472 = V328808. assign V641724 = V171438. assign V328808 = V093159 + 1. assign V586910 = V847127. assign V733671 = V751622. assign V494720 = V948010 + 1. assign V557572 = V847127 - 1. assign V710368 = V352227 - 1. assign V702205 = V284419 + 1. assign V037130 = V015195. assign V537732 = V928422 - 1. assign V698350 = V367797 + 1. assign V389675 = V847127 + 1. assign V420187 = V928422 + 1. assign V776452 = V908377. assign V367670 = V814091. assign V694674 = V549707 - 1. assign V301345 = V367797 + 1. assign V202383 = V403632 + 1. assign V320541 = V816870 - 1. assign V549707 = V389675. assign V015195 = V169151 - 1. assign V960215 = V245601 - 1. assign V152155 = V698350 + 1. assign V062744 = V171438 - 1. assign V624699 = V067858 - 1. assign V840808 = V645505 - 1. assign V231383 = V847127 - 1. assign V906884 = V526456 + 1. assign V250928 = V069696. assign V424614 = V244518 - 1. assign V774329 = V202383 + 1. assign V157065 = V960215 + 1. assign V878712 = V814091. assign V148007 = V202383. assign V093159 = V950782. assign V123040 = V751622. assign V369966 = V367797. assign V772323 = V879587 + 1. assign V178872 = V463581 - 1. assign V724974 = V501364 + 1. assign V634370 = V357194. assign V647571 = V814091 + 1. assign V140864 = V148007 + 1. assign V419020 = V879587 - 1. assign V316233 = V389675 - 1. assign V681107 = V250928. assign V403632 = V698350 + 1. assign V535551 = V529101 - 1. assign V440911 = V209992 + 1. assign V669239 = V389675 + 1. assign V964740 = V647357. assign V669799 = V634927 + 1. assign V187771 = V194993. assign V614176 = V861152 - 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 V357194 = V772323 - 1. assign V740950 = V202383 + 1. assign V451738 = V733671 - 1. assign V983165 = V571940 - 1. assign V493691 = V244518. assign V013680 = V103510 - 1. assign V284419 = V328808 + 1. assign V069696 = V389675. assign V501364 = V187771 + 1. assign V908271 = V647357 - 1. assign V309550 = V014506 - 1. assign V360064 = V140864 + 1. assign V315371 = V022150 + 1. assign V610435 = V814091. assign V795256 = V908377. assign V711670 = V549707 - 1. assign V103510 = V720246. assign V571940 = V847127 - 1. assign V529101 = V357194 + 1. assign V463581 = V586910 - 1. assign V132465 = V960763 + 1. assign V245317 = V989603 + 1. assign V807819 = V645505 + 1. assign V861152 = V908271 + 1. assign V948794 = V140864 + 1. assign V234102 = V367797. assign V482120 = V328808 - 1. assign V260268 = V309550 + 1. assign V989828 = V490413 - 1. assign V823717 = V479574. assign V022150 = V835051. assign V050789 = V835051. assign V895571 = V403632 - 1. assign V747650 = V879587. assign V162242 = V814091 - 1. assign V989603 = V928422 - 1. assign V950782 = V357194 - 1. assign V951024 = V696442. assign V105923 = V960763. assign V169151 = V985755. assign V634927 = V367797 - 1. assign V592032 = V816870. assign V502657 = V908271. assign V835051 = V171438 - 1. assign V352227 = V194993 - 1. assign V704602 = V328808 - 1. assign V908377 = V647571 - 1. assign V529345 = V482120 + 1. assign V931955 = V645505 - 1. assign V014506 = V879587 + 1. assign V395651 = V352227 + 1. assign V751622 = V389675 - 1. assign V816870 = V171438 - 1. assign V928422 = V529101. assign V234329 = V747650 - 1. assign V872095 = V463581 - 1. assign V239858 = V013680. assign V479574 = V171438. assign V427407 = 2. assign V572651 = V493322 - 1. assign V493322 = V529101 - 1. assign V144561 = V872095. assign V207361 = V814091 - 1. assign V341734 = V395651 + 1. assign V678295 = V647571. assign V209992 = V678295 - 1. assign V677019 = V549707. assign V556586 = V549707 - 1. assign V960763 = V586910 - 1. assign V558364 = V669799. assign V093600 = V743523. assign V339158 = V872095. assign V188671 = V645505 - 1. assign V602443 = V352227. assign V168280 = V834517 - 1. assign V684552 = V751622 - 1. assign V937594 = V702205 - 1. assign V367797 = V357194 - 1. assign V553532 = V928422 - 1. assign V593183 = V772323 + 1. assign V490413 = V013680. assign V948010 = V250928 - 1. assign V652600 = V148007 - 1. assign V532429 = V960763 - 1. assign V645505 = V814091 + 1. assign V548943 = V352227 - 1. assign V526456 = V834517 + 1. assign V281007 = V463581. assign V720246 = V879587 - 1. assign V743523 = V706910 - 1. assign V306288 = V985755. assign V870343 = V395651 - 1. assign V363458 = V427407 - 1. assign V847127 = V879587 - 1. assign V244518 = V202383. assign V184197 = V751622 + 1. assign V834517 = V389675. assign V449412 = V357194 - 1. assign V985755 = V647357 + 1. assign V614748 = V140864 + 1. assign V194993 = V610435. assign V196482 = V593183 - 1. assign V723636 = V245601 - 1. assign V267126 = V234102 + 1. assign V696442 = V553507 + 1. assign V639929 = V614176 + 1. assign V553507 = V301345. assign V706910 = V684552. assign V245601 = V014506. assign V578024 = V634927 - 1. assign V711788 = V267126 - 1. assign V647357 = V093159 + 1. assign V660954 = V369966 + 1. assign V067858 = V014506. assign V171438 = V772323 + 1. assign V814091 = V772323. assign V802902 = V157065 - 1. assign V693472 = V328808. assign V641724 = V171438. assign V328808 = V093159 + 1. assign V586910 = V847127. assign V733671 = V751622. assign V494720 = V948010 + 1. assign V557572 = V847127 - 1. assign V710368 = V352227 - 1. assign V702205 = V284419 + 1. assign V037130 = V015195. assign V537732 = V928422 - 1. assign V698350 = V367797 + 1. assign V389675 = V847127 + 1. assign V420187 = V928422 + 1. assign V776452 = V908377. assign V367670 = V814091. assign V694674 = V549707 - 1. assign V301345 = V367797 + 1. assign V202383 = V403632 + 1. assign V320541 = V816870 - 1. assign V549707 = V389675. assign V015195 = V169151 - 1. assign V960215 = V245601 - 1. assign V152155 = V698350 + 1. assign V062744 = V171438 - 1. assign V624699 = V067858 - 1. assign V840808 = V645505 - 1. assign V231383 = V847127 - 1. assign V906884 = V526456 + 1. assign V250928 = V069696. assign V424614 = V244518 - 1. assign V774329 = V202383 + 1. assign V157065 = V960215 + 1. assign V878712 = V814091. assign V148007 = V202383. assign V093159 = V950782. assign V123040 = V751622. assign V369966 = V367797. assign V772323 = V879587 + 1. assign V178872 = V463581 - 1. assign V724974 = V501364 + 1. assign V634370 = V357194. assign V647571 = V814091 + 1. assign V140864 = V148007 + 1. assign V419020 = V879587 - 1. assign V316233 = V389675 - 1. assign V681107 = V250928. assign V403632 = V698350 + 1. assign V535551 = V529101 - 1. assign V440911 = V209992 + 1. assign V669239 = V389675 + 1. assign V964740 = V647357. assign V669799 = V634927 + 1. assign V187771 = V194993. assign V614176 = V861152 - 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):\nV427407 = 2;\n\nFrom these direct assignment(s), we have: \nV363458 = V427407 - 1 = 2 - 1 =1;\nNo other variables can be derived from V363458;\nNo other variables can be derived from V427407;\n\nNow we have done all the calculations. Derived variables are:\nV427407 = 2;\nV363458 = 1;\n\nNow we have finished this problem. ANSWER:\nV363458\n", "role": "assistant" } ]

[ "V859106", "V144344" ]

[ { "content": "<context>\nassign V264896 = V555086 - 1. assign V541459 = V931908 + 1. assign V232685 = V650740 - 1. assign V989252 = V169913 + 1. assign V766383 = V917223. assign V324658 = V073698 - 1. assign V701575 = V785675. assign V100147 = V616681. assign V723454 = V388116 + 1. assign V504511 = V661284. assign V362263 = V209593. assign V979764 = V362263 - 1. assign V883012 = V608972. assign V987395 = V786729 + 1. assign V713132 = V938898 + 1. assign V412477 = V577760 + 1. assign V652884 = V848346 + 1. assign V601876 = V917223. assign V030684 = V766383. assign V318228 = V968331 - 1. assign V782617 = V716161 + 1. assign V311312 = V542402 + 1. assign V129278 = V169913. assign V736532 = V643015. assign V555086 = V848346 - 1. assign V848346 = V542402 - 1. assign V209593 = V180281. assign V592524 = V540850 + 1. assign V365195 = V209593 + 1. assign V012430 = V639844. assign V092570 = V555086. assign V344748 = V607538. assign V632459 = V577760. assign V182517 = V147502 + 1. assign V150231 = V335332 - 1. assign V203128 = V631996 - 1. assign V286452 = V555086 + 1. assign V528062 = V420689 + 1. assign V757017 = V577760 - 1. assign V908988 = V388116 + 1. assign V350569 = V527189 - 1. assign V220789 = V264896. assign V168302 = V380892 + 1. assign V608972 = V643015 + 1. assign V276518 = V716161 + 1. assign V935942 = V100637. assign V817525 = V757017 + 1. assign V913584 = V871346 + 1. assign V180281 = V388116 + 1. assign V434386 = V561041. assign V144344 = V859106. assign V945469 = V335332 - 1. assign V062319 = V528062. assign V653309 = V792433. assign V177388 = V194976 - 1. assign V273160 = V528062. assign V353762 = V548062 - 1. assign V436797 = V716161 - 1. assign V726356 = V661284 + 1. assign V364160 = V242561 - 1. assign V335332 = V388116 + 1. assign V131728 = V909680 + 1. assign V630220 = V350569. assign V356848 = V555086 - 1. assign V815198 = V792433. assign V542402 = V388116 - 1. assign V925088 = V774909 - 1. assign V033825 = V350569 - 1. assign V768861 = V296939 - 1. assign V446482 = V677466 - 1. assign V933735 = V365195. assign V473167 = V180281 + 1. assign V631459 = V931908 + 1. assign V296939 = V895066 + 1. assign V380892 = V151028 + 1. assign V650740 = V420689 + 1. assign V527189 = V548062 + 1. assign V607538 = V194976 - 1. assign V468481 = V335332 - 1. assign V661284 = V716161. assign V381637 = V979764. assign V089027 = V412477 + 1. assign V100637 = V530036. assign V938898 = V989252 - 1. assign V643015 = V774909 - 1. assign V513418 = V062319 + 1. assign V169913 = V716161. assign V289593 = V318228. assign V165929 = V871346. assign V530036 = V242561. assign V129034 = V356848. assign V123046 = V335332 - 1. assign V194976 = V242561 - 1. assign V117041 = V785675 + 1. assign V716161 = V365195 + 1. assign V151028 = V335332 + 1. assign V595273 = V530036 + 1. assign V619109 = V989252 - 1. assign V050402 = V311312. assign V540850 = V931908 - 1. assign V924351 = V092570 - 1. assign V469645 = V180281 + 1. assign V796875 = V618088 + 1. assign V272189 = V925088 - 1. assign V982493 = V639844 - 1. assign V412598 = V542402. assign V871346 = V190827. assign V818932 = V935942 - 1. assign V275692 = V388116 - 1. assign V639844 = V848346 - 1. assign V423829 = V388116 + 1. assign V618088 = V530036 + 1. assign V634726 = V619109 + 1. assign V631996 = V362263. assign V420689 = V792433 - 1. assign V131849 = V616681 - 1. assign V895066 = V530036. assign V756494 = V555086 - 1. assign V792433 = V242561 - 1. assign V056946 = V165929. assign V701545 = V786729 - 1. assign V017556 = V420689. assign V600445 = V938898 + 1. assign V917223 = V639844. assign V765692 = V273160 - 1. assign V617629 = V275692. assign V439671 = V931908 + 1. assign V544458 = V296939 + 1. assign V859106 = 2. assign V839085 = V716161. assign V457579 = V123046 + 1. assign V786729 = V190827 + 1. assign V166470 = V883012 - 1. assign V489529 = V555086. assign V190827 = V756286 + 1. assign V785675 = V030684 - 1. assign V479266 = V786729 + 1. assign V642106 = V561041 + 1. assign V462493 = V378242. assign V272127 = V631459 - 1. assign V677466 = V420689 - 1. assign V968331 = V631459 + 1. assign V073698 = V848346. assign V774909 = V917223. assign V818695 = V989252 + 1. assign V411832 = V653309 - 1. assign V516574 = V388116 + 1. assign V378242 = V555086 - 1. assign V147502 = V723454. assign V820313 = V129034 + 1. assign V259757 = V030684. assign V481046 = V318228 - 1. assign V561041 = V147502. assign V176454 = V555086 + 1. assign V548062 = V931908 - 1. assign V242561 = V335332 + 1. assign V735462 = V365195 - 1. assign V931908 = V194976 + 1. assign V154596 = V275692. assign V334653 = V489529 - 1. assign V954030 = V275692 - 1. assign V756286 = V577760. assign V616681 = V917223 - 1. assign V428253 = V650740 + 1. assign V827231 = V774909 - 1. assign V469565 = V542402. assign V575545 = V489529. assign V971882 = V420689. assign V577760 = V335332. assign V909680 = V632459 - 1. assign V815701 = V131728. assign V821559 = V147502 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V264896 = V555086 - 1. assign V541459 = V931908 + 1. assign V232685 = V650740 - 1. assign V989252 = V169913 + 1. assign V766383 = V917223. assign V324658 = V073698 - 1. assign V701575 = V785675. assign V100147 = V616681. assign V723454 = V388116 + 1. assign V504511 = V661284. assign V362263 = V209593. assign V979764 = V362263 - 1. assign V883012 = V608972. assign V987395 = V786729 + 1. assign V713132 = V938898 + 1. assign V412477 = V577760 + 1. assign V652884 = V848346 + 1. assign V601876 = V917223. assign V030684 = V766383. assign V318228 = V968331 - 1. assign V782617 = V716161 + 1. assign V311312 = V542402 + 1. assign V129278 = V169913. assign V736532 = V643015. assign V555086 = V848346 - 1. assign V848346 = V542402 - 1. assign V209593 = V180281. assign V592524 = V540850 + 1. assign V365195 = V209593 + 1. assign V012430 = V639844. assign V092570 = V555086. assign V344748 = V607538. assign V632459 = V577760. assign V182517 = V147502 + 1. assign V150231 = V335332 - 1. assign V203128 = V631996 - 1. assign V286452 = V555086 + 1. assign V528062 = V420689 + 1. assign V757017 = V577760 - 1. assign V908988 = V388116 + 1. assign V350569 = V527189 - 1. assign V220789 = V264896. assign V168302 = V380892 + 1. assign V608972 = V643015 + 1. assign V276518 = V716161 + 1. assign V935942 = V100637. assign V817525 = V757017 + 1. assign V913584 = V871346 + 1. assign V180281 = V388116 + 1. assign V434386 = V561041. assign V144344 = V859106. assign V945469 = V335332 - 1. assign V062319 = V528062. assign V653309 = V792433. assign V177388 = V194976 - 1. assign V273160 = V528062. assign V353762 = V548062 - 1. assign V436797 = V716161 - 1. assign V726356 = V661284 + 1. assign V364160 = V242561 - 1. assign V335332 = V388116 + 1. assign V131728 = V909680 + 1. assign V630220 = V350569. assign V356848 = V555086 - 1. assign V815198 = V792433. assign V542402 = V388116 - 1. assign V925088 = V774909 - 1. assign V033825 = V350569 - 1. assign V768861 = V296939 - 1. assign V446482 = V677466 - 1. assign V933735 = V365195. assign V473167 = V180281 + 1. assign V631459 = V931908 + 1. assign V296939 = V895066 + 1. assign V380892 = V151028 + 1. assign V650740 = V420689 + 1. assign V527189 = V548062 + 1. assign V607538 = V194976 - 1. assign V468481 = V335332 - 1. assign V661284 = V716161. assign V381637 = V979764. assign V089027 = V412477 + 1. assign V100637 = V530036. assign V938898 = V989252 - 1. assign V643015 = V774909 - 1. assign V513418 = V062319 + 1. assign V169913 = V716161. assign V289593 = V318228. assign V165929 = V871346. assign V530036 = V242561. assign V129034 = V356848. assign V123046 = V335332 - 1. assign V194976 = V242561 - 1. assign V117041 = V785675 + 1. assign V716161 = V365195 + 1. assign V151028 = V335332 + 1. assign V595273 = V530036 + 1. assign V619109 = V989252 - 1. assign V050402 = V311312. assign V540850 = V931908 - 1. assign V924351 = V092570 - 1. assign V469645 = V180281 + 1. assign V796875 = V618088 + 1. assign V272189 = V925088 - 1. assign V982493 = V639844 - 1. assign V412598 = V542402. assign V871346 = V190827. assign V818932 = V935942 - 1. assign V275692 = V388116 - 1. assign V639844 = V848346 - 1. assign V423829 = V388116 + 1. assign V618088 = V530036 + 1. assign V634726 = V619109 + 1. assign V631996 = V362263. assign V420689 = V792433 - 1. assign V131849 = V616681 - 1. assign V895066 = V530036. assign V756494 = V555086 - 1. assign V792433 = V242561 - 1. assign V056946 = V165929. assign V701545 = V786729 - 1. assign V017556 = V420689. assign V600445 = V938898 + 1. assign V917223 = V639844. assign V765692 = V273160 - 1. assign V617629 = V275692. assign V439671 = V931908 + 1. assign V544458 = V296939 + 1. assign V859106 = 2. assign V839085 = V716161. assign V457579 = V123046 + 1. assign V786729 = V190827 + 1. assign V166470 = V883012 - 1. assign V489529 = V555086. assign V190827 = V756286 + 1. assign V785675 = V030684 - 1. assign V479266 = V786729 + 1. assign V642106 = V561041 + 1. assign V462493 = V378242. assign V272127 = V631459 - 1. assign V677466 = V420689 - 1. assign V968331 = V631459 + 1. assign V073698 = V848346. assign V774909 = V917223. assign V818695 = V989252 + 1. assign V411832 = V653309 - 1. assign V516574 = V388116 + 1. assign V378242 = V555086 - 1. assign V147502 = V723454. assign V820313 = V129034 + 1. assign V259757 = V030684. assign V481046 = V318228 - 1. assign V561041 = V147502. assign V176454 = V555086 + 1. assign V548062 = V931908 - 1. assign V242561 = V335332 + 1. assign V735462 = V365195 - 1. assign V931908 = V194976 + 1. assign V154596 = V275692. assign V334653 = V489529 - 1. assign V954030 = V275692 - 1. assign V756286 = V577760. assign V616681 = V917223 - 1. assign V428253 = V650740 + 1. assign V827231 = V774909 - 1. assign V469565 = V542402. assign V575545 = V489529. assign V971882 = V420689. assign V577760 = V335332. assign V909680 = V632459 - 1. assign V815701 = V131728. assign V821559 = V147502 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV859106 = 2;\n\nFrom these direct assignment(s), we have: \nV144344 = V859106 = 2;\nNo other variables can be derived from V144344;\nNo other variables can be derived from V859106;\n\nNow we have done all the calculations. Derived variables are:\nV859106 = 2;\nV144344 = 2;\n\nNow we have finished this problem. ANSWER:\nV859106, V144344\n", "role": "assistant" } ]

[ "V918374" ]

[ { "content": "<context>\nassign V770070 = V507981 + 1. assign V192283 = V754130 - 1. assign V759667 = V361355 + 1. assign V286322 = V188748 + 1. assign V507981 = V820065 + 1. assign V984493 = V009597. assign V710996 = V669978 + 1. assign V583702 = V921037 - 1. assign V537939 = V009597 + 1. assign V469253 = V605526 - 1. assign V940629 = V708148 - 1. assign V344711 = V653932 + 1. assign V455773 = V793905 + 1. assign V742301 = V764662 - 1. assign V764662 = V793905 + 1. assign V667662 = V070074 + 1. assign V944224 = V908434. assign V580396 = V921037 + 1. assign V342370 = V098689. assign V070977 = V559606 + 1. assign V312411 = V809752 - 1. assign V958686 = V286322. assign V988088 = V156768 + 1. assign V961995 = V796151 + 1. assign V259590 = V107762. assign V474216 = V751869 - 1. assign V687618 = V231473 + 1. assign V941837 = V838301 - 1. assign V923979 = V683535 + 1. assign V684011 = V995171. assign V040015 = V070149 - 1. assign V265573 = V736095 - 1. assign V584923 = V751869 - 1. assign V831461 = V212460 + 1. assign V421436 = V348041 - 1. assign V579807 = V328481 + 1. assign V845887 = V849529. assign V520972 = V934879. assign V809752 = V793905. assign V807637 = V447140 - 1. assign V271431 = V312411. assign V234968 = V584923 + 1. assign V148906 = V793905 + 1. assign V078111 = V579807 + 1. assign V625519 = V887184 + 1. assign V160551 = V793905 - 1. assign V212460 = V682699. assign V328732 = V921037 + 1. assign V177381 = V156725. assign V178402 = V999886 + 1. assign V559606 = V579807 + 1. assign V918374 = 5. assign V357297 = V039061. assign V440598 = V669978 + 1. assign V414002 = V286322. assign V311417 = V271431 + 1. assign V013809 = V474216 - 1. assign V790965 = V710996 - 1. assign V724956 = V667662. assign V114537 = V521513. assign V659826 = V918374 + 1. assign V077943 = V625519 - 1. assign V669978 = V751869 - 1. assign V995171 = V793905. assign V682699 = V710996 + 1. assign V305958 = V629919 + 1. assign V070149 = V506519 + 1. assign V204317 = V708148 - 1. assign V013822 = V584923 + 1. assign V507812 = V009597 + 1. assign V668750 = V807637. assign V447140 = V579807. assign V009597 = V506519 - 1. assign V900492 = V087218. assign V806926 = V484005 + 1. assign V156725 = V348041 - 1. assign V862056 = V507981 + 1. assign V708148 = V506519 + 1. assign V927449 = V683535 + 1. assign V492583 = V707111 + 1. assign V838301 = V507981 + 1. assign V189949 = V070074. assign V820065 = V506519 + 1. assign V110845 = V311417 + 1. assign V120489 = V754130 - 1. assign V920185 = V368084. assign V359418 = V027626 - 1. assign V975582 = V286322 + 1. assign V361355 = V796151. assign V629768 = V212460 + 1. assign V671043 = V286322 - 1. assign V107762 = V305958 + 1. assign V521513 = V707111 - 1. assign V246731 = V359418 + 1. assign V754130 = V807637. assign V605526 = V793905 - 1. assign V698205 = V087218 + 1. assign V360280 = V087218. assign V685640 = V908434. assign V629919 = V754130 + 1. assign V702056 = V997823. assign V250388 = V506519. assign V736095 = V887184. assign V296428 = V754130 + 1. assign V206198 = V790965 + 1. assign V476167 = V009597 + 1. assign V496341 = V135971 + 1. assign V456737 = V070149. assign V199400 = V480660 + 1. assign V849529 = V793905 + 1. assign V125674 = V188748. assign V697751 = V506519. assign V621068 = V669575. assign V328481 = V793905 + 1. assign V997823 = V708148 + 1. assign V444872 = V449841. assign V952886 = V759667 + 1. assign V873442 = V455773 - 1. assign V484679 = V110845 + 1. assign V039061 = V849529. assign V908434 = V708148 - 1. assign V195134 = V311417 - 1. assign V071007 = V708148 - 1. assign V449835 = V328481 + 1. assign V934879 = V168620 - 1. assign V056687 = V940629 + 1. assign V156768 = V204317. assign V087218 = V927449 + 1. assign V038305 = V087218 - 1. assign V825859 = V697751 - 1. assign V748539 = V831461 + 1. assign V707111 = V742301. assign V379861 = V669978 + 1. assign V749146 = V838301. assign V558739 = V160551 - 1. assign V653932 = V684011 - 1. assign V796151 = V669978 + 1. assign V921037 = V507812 - 1. assign V635278 = V969753 + 1. assign V676364 = V449835 - 1. assign V188748 = V751869 - 1. assign V458959 = V114537. assign V348041 = V820065 + 1. assign V449841 = V702056 + 1. assign V769789 = V449835. assign V626368 = V669575. assign V669575 = V969753 - 1. assign V556857 = V447140. assign V135971 = V685640 - 1. assign V997781 = V708148 + 1. assign V887184 = V484005 - 1. assign V516933 = V988088 + 1. assign V027626 = V098689. assign V969753 = V168620. assign V573519 = V796151. assign V117036 = V849529. assign V506519 = V793905. assign V168620 = V605526 - 1. assign V484005 = V995171 + 1. assign V999886 = V328481 - 1. assign V231473 = V296428 - 1. assign V368084 = V793905 - 1. assign V751869 = V809752 - 1. assign V070074 = V484005 + 1. assign V626987 = V710996. assign V683535 = V188748 - 1. assign V480660 = V961995 + 1. assign V973002 = V506519. assign V098689 = V708148. assign V591057 = V921037 + 1. assign V835635 = V969753. assign V544147 = V887184 + 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 V770070 = V507981 + 1. assign V192283 = V754130 - 1. assign V759667 = V361355 + 1. assign V286322 = V188748 + 1. assign V507981 = V820065 + 1. assign V984493 = V009597. assign V710996 = V669978 + 1. assign V583702 = V921037 - 1. assign V537939 = V009597 + 1. assign V469253 = V605526 - 1. assign V940629 = V708148 - 1. assign V344711 = V653932 + 1. assign V455773 = V793905 + 1. assign V742301 = V764662 - 1. assign V764662 = V793905 + 1. assign V667662 = V070074 + 1. assign V944224 = V908434. assign V580396 = V921037 + 1. assign V342370 = V098689. assign V070977 = V559606 + 1. assign V312411 = V809752 - 1. assign V958686 = V286322. assign V988088 = V156768 + 1. assign V961995 = V796151 + 1. assign V259590 = V107762. assign V474216 = V751869 - 1. assign V687618 = V231473 + 1. assign V941837 = V838301 - 1. assign V923979 = V683535 + 1. assign V684011 = V995171. assign V040015 = V070149 - 1. assign V265573 = V736095 - 1. assign V584923 = V751869 - 1. assign V831461 = V212460 + 1. assign V421436 = V348041 - 1. assign V579807 = V328481 + 1. assign V845887 = V849529. assign V520972 = V934879. assign V809752 = V793905. assign V807637 = V447140 - 1. assign V271431 = V312411. assign V234968 = V584923 + 1. assign V148906 = V793905 + 1. assign V078111 = V579807 + 1. assign V625519 = V887184 + 1. assign V160551 = V793905 - 1. assign V212460 = V682699. assign V328732 = V921037 + 1. assign V177381 = V156725. assign V178402 = V999886 + 1. assign V559606 = V579807 + 1. assign V918374 = 5. assign V357297 = V039061. assign V440598 = V669978 + 1. assign V414002 = V286322. assign V311417 = V271431 + 1. assign V013809 = V474216 - 1. assign V790965 = V710996 - 1. assign V724956 = V667662. assign V114537 = V521513. assign V659826 = V918374 + 1. assign V077943 = V625519 - 1. assign V669978 = V751869 - 1. assign V995171 = V793905. assign V682699 = V710996 + 1. assign V305958 = V629919 + 1. assign V070149 = V506519 + 1. assign V204317 = V708148 - 1. assign V013822 = V584923 + 1. assign V507812 = V009597 + 1. assign V668750 = V807637. assign V447140 = V579807. assign V009597 = V506519 - 1. assign V900492 = V087218. assign V806926 = V484005 + 1. assign V156725 = V348041 - 1. assign V862056 = V507981 + 1. assign V708148 = V506519 + 1. assign V927449 = V683535 + 1. assign V492583 = V707111 + 1. assign V838301 = V507981 + 1. assign V189949 = V070074. assign V820065 = V506519 + 1. assign V110845 = V311417 + 1. assign V120489 = V754130 - 1. assign V920185 = V368084. assign V359418 = V027626 - 1. assign V975582 = V286322 + 1. assign V361355 = V796151. assign V629768 = V212460 + 1. assign V671043 = V286322 - 1. assign V107762 = V305958 + 1. assign V521513 = V707111 - 1. assign V246731 = V359418 + 1. assign V754130 = V807637. assign V605526 = V793905 - 1. assign V698205 = V087218 + 1. assign V360280 = V087218. assign V685640 = V908434. assign V629919 = V754130 + 1. assign V702056 = V997823. assign V250388 = V506519. assign V736095 = V887184. assign V296428 = V754130 + 1. assign V206198 = V790965 + 1. assign V476167 = V009597 + 1. assign V496341 = V135971 + 1. assign V456737 = V070149. assign V199400 = V480660 + 1. assign V849529 = V793905 + 1. assign V125674 = V188748. assign V697751 = V506519. assign V621068 = V669575. assign V328481 = V793905 + 1. assign V997823 = V708148 + 1. assign V444872 = V449841. assign V952886 = V759667 + 1. assign V873442 = V455773 - 1. assign V484679 = V110845 + 1. assign V039061 = V849529. assign V908434 = V708148 - 1. assign V195134 = V311417 - 1. assign V071007 = V708148 - 1. assign V449835 = V328481 + 1. assign V934879 = V168620 - 1. assign V056687 = V940629 + 1. assign V156768 = V204317. assign V087218 = V927449 + 1. assign V038305 = V087218 - 1. assign V825859 = V697751 - 1. assign V748539 = V831461 + 1. assign V707111 = V742301. assign V379861 = V669978 + 1. assign V749146 = V838301. assign V558739 = V160551 - 1. assign V653932 = V684011 - 1. assign V796151 = V669978 + 1. assign V921037 = V507812 - 1. assign V635278 = V969753 + 1. assign V676364 = V449835 - 1. assign V188748 = V751869 - 1. assign V458959 = V114537. assign V348041 = V820065 + 1. assign V449841 = V702056 + 1. assign V769789 = V449835. assign V626368 = V669575. assign V669575 = V969753 - 1. assign V556857 = V447140. assign V135971 = V685640 - 1. assign V997781 = V708148 + 1. assign V887184 = V484005 - 1. assign V516933 = V988088 + 1. assign V027626 = V098689. assign V969753 = V168620. assign V573519 = V796151. assign V117036 = V849529. assign V506519 = V793905. assign V168620 = V605526 - 1. assign V484005 = V995171 + 1. assign V999886 = V328481 - 1. assign V231473 = V296428 - 1. assign V368084 = V793905 - 1. assign V751869 = V809752 - 1. assign V070074 = V484005 + 1. assign V626987 = V710996. assign V683535 = V188748 - 1. assign V480660 = V961995 + 1. assign V973002 = V506519. assign V098689 = V708148. assign V591057 = V921037 + 1. assign V835635 = V969753. assign V544147 = V887184 + 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):\nV918374 = 5;\n\nFrom these direct assignment(s), we have: \nV659826 = V918374 + 1 = 5 + 1 =6;\nNo other variables can be derived from V659826;\nNo other variables can be derived from V918374;\n\nNow we have done all the calculations. Derived variables are:\nV918374 = 5;\nV659826 = 6;\n\nNow we have finished this problem. ANSWER:\nV918374\n", "role": "assistant" } ]

[ "V020569" ]

[ { "content": "<context>\nassign V278987 = V945080 + 1. assign V537929 = V300754. assign V576202 = V682718 - 1. assign V793697 = V856282 - 1. assign V747684 = V326117. assign V465696 = V025018 + 1. assign V796623 = V573533. assign V191858 = V483516 - 1. assign V568004 = V142308 + 1. assign V671045 = V573533. assign V144847 = V021034 - 1. assign V081511 = V248553. assign V442693 = V632913. assign V850534 = V038041 + 1. assign V020569 = 2. assign V945080 = V639021 - 1. assign V939494 = V590053. assign V147747 = V913025. assign V262268 = V275772 + 1. assign V030612 = V374012 + 1. assign V312405 = V169622 + 1. assign V050601 = V807681. assign V605224 = V891487 + 1. assign V460536 = V507820 + 1. assign V891487 = V805553. assign V536835 = V507820 + 1. assign V690425 = V988772 - 1. assign V537171 = V361336 - 1. assign V490656 = V483516 + 1. assign V248553 = V953591 + 1. assign V275772 = V595791. assign V183046 = V352017. assign V164012 = V169622. assign V165276 = V518705 - 1. assign V653163 = V312405 + 1. assign V893099 = V966692 + 1. assign V966692 = V374012 + 1. assign V038041 = V755336. assign V300754 = V142308. assign V974486 = V248553 + 1. assign V186950 = V275772. assign V149981 = V595791 + 1. assign V589095 = V169622 - 1. assign V615167 = V400365 - 1. assign V590053 = V275772 - 1. assign V142308 = V165276 + 1. assign V552388 = V400365. assign V214198 = V891487 + 1. assign V999430 = V449940 + 1. assign V592462 = V573533 - 1. assign V507150 = V805553 - 1. assign V140093 = V149981 - 1. assign V289481 = V734720 + 1. assign V518705 = V595791 + 1. assign V449940 = V518705 - 1. assign V290274 = V326117. assign V641427 = V312405 + 1. assign V912175 = V953591 + 1. assign V025018 = V312405. assign V325722 = V020569 + 1. assign V930639 = V945080. assign V158014 = V913533 + 1. assign V396673 = V747266 - 1. assign V170734 = V448841 - 1. assign V483516 = V449940 - 1. assign V820597 = V025018 + 1. assign V621061 = V140093. assign V774734 = V371569 - 1. assign V021034 = V615167. assign V341234 = V913533 - 1. assign V169622 = V747266 + 1. assign V741252 = V916242. assign V414227 = V796623 - 1. assign V436829 = V439716 - 1. assign V747266 = V595791. assign V393382 = V639021. assign V826389 = V449940 + 1. assign V755336 = V632913 + 1. assign V963870 = V641427 - 1. assign V954296 = V312405. assign V940051 = V953591 - 1. assign V733067 = V719845 + 1. assign V846994 = V755336 + 1. assign V144038 = V142308 - 1. assign V523692 = V940051 + 1. assign V918809 = V135798 - 1. assign V420923 = V518705. assign V913025 = V393382 - 1. assign V564657 = V183046 - 1. assign V945487 = V169622 - 1. assign V573533 = V021034 - 1. assign V240036 = V913533 - 1. assign V511646 = V918809. assign V400365 = V595791. assign V903105 = V486667 - 1. assign V856282 = V169622. assign V374012 = V682718 - 1. assign V069700 = V734720 - 1. assign V536787 = V595791. assign V300308 = V940051 + 1. assign V807681 = V165276 + 1. assign V507820 = V352017. assign V361336 = V169622 + 1. assign V014498 = V916242. assign V203147 = V690425. assign V765050 = V097161 + 1. assign V170725 = V108247. assign V777680 = V548751 + 1. assign V916242 = V595791 - 1. assign V690303 = V728923 - 1. assign V993961 = V595791. assign V259812 = V047810 - 1. assign V433946 = V856282 + 1. assign V474567 = V169622 - 1. assign V412232 = V490656 + 1. assign V239161 = V483516 + 1. assign V487673 = V914244 + 1. assign V484317 = V953591 - 1. assign V373554 = V145330 + 1. assign V112173 = V275772. assign V595791 = V371569. assign V728923 = V483516 + 1. assign V972854 = V552388. assign V306322 = V945080 + 1. assign V248338 = V945080 - 1. assign V490644 = V834898 + 1. assign V099302 = V671045 + 1. assign V953591 = V595791 + 1. assign V135798 = V682718. assign V913533 = V352017 + 1. assign V322428 = V158014 + 1. assign V997830 = V393382 - 1. assign V352017 = V165276 + 1. assign V158968 = V796623 + 1. assign V719845 = V916242 - 1. assign V486667 = V632913. assign V438654 = V755336 + 1. assign V725445 = V774734 + 1. assign V556542 = V616838 - 1. assign V326117 = V486667 - 1. assign V639021 = V142308. assign V548751 = V165276 - 1. assign V108247 = V595791 + 1. assign V805553 = V595791 - 1. assign V682022 = V507820 + 1. assign V097161 = V916242 + 1. assign V250937 = V144847 + 1. assign V586301 = V361336 - 1. assign V047810 = V371569. assign V271434 = V589095 + 1. assign V632913 = V953591 + 1. assign V911553 = V605224 + 1. assign V145330 = V507820. assign V914027 = V774734. assign V914244 = V918809 - 1. assign V439716 = V361336 - 1. assign V682718 = V605224. assign V947629 = V021034 - 1. assign V728983 = V570330. assign V734720 = V396673. assign V988772 = V371569 - 1. assign V570330 = V793697. assign V978530 = V393382. assign V819346 = V918809 - 1. assign V834898 = V449940. assign V517157 = V203147 - 1. assign V448841 = V484317 - 1. assign V616838 = V690303 + 1. assign V660401 = V250937 + 1. assign V898126 = V682718 + 1. assign V864308 = V747266. assign V999094 = V728923.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V278987 = V945080 + 1. assign V537929 = V300754. assign V576202 = V682718 - 1. assign V793697 = V856282 - 1. assign V747684 = V326117. assign V465696 = V025018 + 1. assign V796623 = V573533. assign V191858 = V483516 - 1. assign V568004 = V142308 + 1. assign V671045 = V573533. assign V144847 = V021034 - 1. assign V081511 = V248553. assign V442693 = V632913. assign V850534 = V038041 + 1. assign V020569 = 2. assign V945080 = V639021 - 1. assign V939494 = V590053. assign V147747 = V913025. assign V262268 = V275772 + 1. assign V030612 = V374012 + 1. assign V312405 = V169622 + 1. assign V050601 = V807681. assign V605224 = V891487 + 1. assign V460536 = V507820 + 1. assign V891487 = V805553. assign V536835 = V507820 + 1. assign V690425 = V988772 - 1. assign V537171 = V361336 - 1. assign V490656 = V483516 + 1. assign V248553 = V953591 + 1. assign V275772 = V595791. assign V183046 = V352017. assign V164012 = V169622. assign V165276 = V518705 - 1. assign V653163 = V312405 + 1. assign V893099 = V966692 + 1. assign V966692 = V374012 + 1. assign V038041 = V755336. assign V300754 = V142308. assign V974486 = V248553 + 1. assign V186950 = V275772. assign V149981 = V595791 + 1. assign V589095 = V169622 - 1. assign V615167 = V400365 - 1. assign V590053 = V275772 - 1. assign V142308 = V165276 + 1. assign V552388 = V400365. assign V214198 = V891487 + 1. assign V999430 = V449940 + 1. assign V592462 = V573533 - 1. assign V507150 = V805553 - 1. assign V140093 = V149981 - 1. assign V289481 = V734720 + 1. assign V518705 = V595791 + 1. assign V449940 = V518705 - 1. assign V290274 = V326117. assign V641427 = V312405 + 1. assign V912175 = V953591 + 1. assign V025018 = V312405. assign V325722 = V020569 + 1. assign V930639 = V945080. assign V158014 = V913533 + 1. assign V396673 = V747266 - 1. assign V170734 = V448841 - 1. assign V483516 = V449940 - 1. assign V820597 = V025018 + 1. assign V621061 = V140093. assign V774734 = V371569 - 1. assign V021034 = V615167. assign V341234 = V913533 - 1. assign V169622 = V747266 + 1. assign V741252 = V916242. assign V414227 = V796623 - 1. assign V436829 = V439716 - 1. assign V747266 = V595791. assign V393382 = V639021. assign V826389 = V449940 + 1. assign V755336 = V632913 + 1. assign V963870 = V641427 - 1. assign V954296 = V312405. assign V940051 = V953591 - 1. assign V733067 = V719845 + 1. assign V846994 = V755336 + 1. assign V144038 = V142308 - 1. assign V523692 = V940051 + 1. assign V918809 = V135798 - 1. assign V420923 = V518705. assign V913025 = V393382 - 1. assign V564657 = V183046 - 1. assign V945487 = V169622 - 1. assign V573533 = V021034 - 1. assign V240036 = V913533 - 1. assign V511646 = V918809. assign V400365 = V595791. assign V903105 = V486667 - 1. assign V856282 = V169622. assign V374012 = V682718 - 1. assign V069700 = V734720 - 1. assign V536787 = V595791. assign V300308 = V940051 + 1. assign V807681 = V165276 + 1. assign V507820 = V352017. assign V361336 = V169622 + 1. assign V014498 = V916242. assign V203147 = V690425. assign V765050 = V097161 + 1. assign V170725 = V108247. assign V777680 = V548751 + 1. assign V916242 = V595791 - 1. assign V690303 = V728923 - 1. assign V993961 = V595791. assign V259812 = V047810 - 1. assign V433946 = V856282 + 1. assign V474567 = V169622 - 1. assign V412232 = V490656 + 1. assign V239161 = V483516 + 1. assign V487673 = V914244 + 1. assign V484317 = V953591 - 1. assign V373554 = V145330 + 1. assign V112173 = V275772. assign V595791 = V371569. assign V728923 = V483516 + 1. assign V972854 = V552388. assign V306322 = V945080 + 1. assign V248338 = V945080 - 1. assign V490644 = V834898 + 1. assign V099302 = V671045 + 1. assign V953591 = V595791 + 1. assign V135798 = V682718. assign V913533 = V352017 + 1. assign V322428 = V158014 + 1. assign V997830 = V393382 - 1. assign V352017 = V165276 + 1. assign V158968 = V796623 + 1. assign V719845 = V916242 - 1. assign V486667 = V632913. assign V438654 = V755336 + 1. assign V725445 = V774734 + 1. assign V556542 = V616838 - 1. assign V326117 = V486667 - 1. assign V639021 = V142308. assign V548751 = V165276 - 1. assign V108247 = V595791 + 1. assign V805553 = V595791 - 1. assign V682022 = V507820 + 1. assign V097161 = V916242 + 1. assign V250937 = V144847 + 1. assign V586301 = V361336 - 1. assign V047810 = V371569. assign V271434 = V589095 + 1. assign V632913 = V953591 + 1. assign V911553 = V605224 + 1. assign V145330 = V507820. assign V914027 = V774734. assign V914244 = V918809 - 1. assign V439716 = V361336 - 1. assign V682718 = V605224. assign V947629 = V021034 - 1. assign V728983 = V570330. assign V734720 = V396673. assign V988772 = V371569 - 1. assign V570330 = V793697. assign V978530 = V393382. assign V819346 = V918809 - 1. assign V834898 = V449940. assign V517157 = V203147 - 1. assign V448841 = V484317 - 1. assign V616838 = V690303 + 1. assign V660401 = V250937 + 1. assign V898126 = V682718 + 1. assign V864308 = V747266. assign V999094 = V728923.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV020569 = 2;\n\nFrom these direct assignment(s), we have: \nV325722 = V020569 + 1 = 2 + 1 =3;\nNo other variables can be derived from V325722;\nNo other variables can be derived from V020569;\n\nNow we have done all the calculations. Derived variables are:\nV020569 = 2;\nV325722 = 3;\n\nNow we have finished this problem. ANSWER:\nV020569\n", "role": "assistant" } ]

[ "V167163" ]

[ { "content": "<context>\nassign V108182 = V697083. assign V410865 = V272978 - 1. assign V792736 = V553828 + 1. assign V272978 = V727143 + 1. assign V401635 = V559593. assign V370416 = V944255. assign V660483 = V948395. assign V236008 = V697083. assign V084957 = V402914. assign V344451 = V074455 + 1. assign V770920 = V255192 + 1. assign V175609 = V069756 + 1. assign V132716 = V395727 + 1. assign V525166 = V944255 - 1. assign V944255 = V727143 + 1. assign V840404 = V769873. assign V564412 = V474240 + 1. assign V445922 = V163648 - 1. assign V645332 = V616923. assign V163648 = V343056 - 1. assign V295650 = V195574. assign V423889 = V201191 + 1. assign V478291 = V791199 - 1. assign V805140 = V791199 - 1. assign V103036 = V727143 - 1. assign V873984 = V846988 - 1. assign V343056 = V617058. assign V462779 = V697083. assign V877108 = V236008 - 1. assign V125664 = V296946 + 1. assign V947671 = V429158 - 1. assign V393532 = V658272 + 1. assign V575058 = V132716. assign V500508 = V297306 - 1. assign V502209 = V617058 + 1. assign V616784 = V036431 + 1. assign V027775 = V553828. assign V619887 = V051106. assign V094132 = V479850. assign V133629 = V770920 + 1. assign V069756 = V272978 + 1. assign V791199 = V671017 - 1. assign V240412 = V628405 - 1. assign V506971 = V297306 + 1. assign V005456 = V510941 - 1. assign V949418 = V370416 - 1. assign V474240 = V617058. assign V574230 = V232350. assign V707235 = V935740 - 1. assign V124143 = V593913 - 1. assign V232350 = V525166 + 1. assign V193131 = V547973. assign V070854 = V875892 + 1. assign V593913 = V619291 + 1. assign V095324 = V921155 - 1. assign V105171 = V947671 + 1. assign V877375 = V026008 - 1. assign V004595 = V255192 - 1. assign V211346 = V005456 - 1. assign V044310 = V490796 + 1. assign V074455 = V272978. assign V073763 = V267959. assign V444620 = V272978 + 1. assign V606029 = V599716 + 1. assign V671017 = V593913. assign V820806 = V295315 - 1. assign V664378 = V525166 - 1. assign V948395 = V671017. assign V730812 = V051106 - 1. assign V139743 = V371494 - 1. assign V935740 = V338422 - 1. assign V846539 = V510941 - 1. assign V697083 = V163648. assign V070460 = V175609 + 1. assign V124737 = V026008 - 1. assign V416935 = V070460. assign V985546 = V944255 - 1. assign V043632 = V370416 - 1. assign V616923 = V818768. assign V283142 = V124143 + 1. assign V059929 = V255192. assign V109249 = V682946 + 1. assign V030186 = V236008 - 1. assign V688149 = V005456 + 1. assign V294102 = V070460 - 1. assign V821719 = V163560 - 1. assign V195574 = V163560. assign V583846 = V167163 - 1. assign V547973 = V197496 - 1. assign V045066 = V435950 + 1. assign V143081 = V069756 + 1. assign V812413 = V296946 + 1. assign V827576 = V350938 + 1. assign V343574 = V255192. assign V548312 = V005456 + 1. assign V846988 = V005456 + 1. assign V682946 = V004595 + 1. assign V826337 = V875892. assign V510941 = V069756. assign V797074 = V548312 + 1. assign V113773 = V730812. assign V073071 = V564412 + 1. assign V323013 = V548312. assign V163560 = V593913 + 1. assign V676645 = V628405 - 1. assign V326142 = V918178 - 1. assign V154121 = V338422. assign V197496 = V139743 + 1. assign V007568 = V490796. assign V036431 = V045066 - 1. assign V632306 = V606855. assign V617058 = V272978 + 1. assign V333230 = V296946 + 1. assign V711579 = V143081 + 1. assign V727143 = V255192. assign V378893 = V084957 - 1. assign V398428 = V004595 - 1. assign V338422 = V272978 + 1. assign V606855 = V132716. assign V562716 = V435950 + 1. assign V553828 = V727143 + 1. assign V265019 = V371494. assign V537387 = V154121 - 1. assign V375233 = V730812 - 1. assign V167163 = 9. assign V212635 = V154121 + 1. assign V682244 = V333230 + 1. assign V259764 = V073071 + 1. assign V373682 = V296946 - 1. assign V332742 = V769873 - 1. assign V371494 = V338422. assign V559593 = V949418. assign V918178 = V593913. assign V619291 = V255192 + 1. assign V435950 = V069756. assign V041637 = V619291 - 1. assign V734415 = V707235. assign V628405 = V212635 - 1. assign V002392 = V553828. assign V346268 = V398428 + 1. assign V267959 = V948395 - 1. assign V019374 = V619887 + 1. assign V619342 = V343574 - 1. assign V875892 = V769873 - 1. assign V713877 = V398428 + 1. assign V205117 = V820806. assign V402914 = V820806 - 1. assign V658272 = V510941. assign V350938 = V846539. assign V296946 = V343574 + 1. assign V050726 = V606855. assign V295315 = V617058. assign V026008 = V619291. assign V818768 = V343574. assign V483796 = V350938 + 1. assign V051106 = V212635 + 1. assign V769873 = V343056 - 1. assign V479850 = V338422 + 1. assign V395727 = V070460 + 1. assign V201191 = V297306 + 1. assign V557426 = V004595 + 1. assign V590921 = V707235. assign V921732 = V043632 - 1. assign V011309 = V628405. assign V599716 = V045066 + 1. assign V429158 = V026008. assign V490796 = V125664. assign V690680 = V296946 - 1. assign V921155 = V434391. assign V434391 = V769873 + 1. assign V346211 = V265019 - 1. assign V297306 = V918178 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V108182 = V697083. assign V410865 = V272978 - 1. assign V792736 = V553828 + 1. assign V272978 = V727143 + 1. assign V401635 = V559593. assign V370416 = V944255. assign V660483 = V948395. assign V236008 = V697083. assign V084957 = V402914. assign V344451 = V074455 + 1. assign V770920 = V255192 + 1. assign V175609 = V069756 + 1. assign V132716 = V395727 + 1. assign V525166 = V944255 - 1. assign V944255 = V727143 + 1. assign V840404 = V769873. assign V564412 = V474240 + 1. assign V445922 = V163648 - 1. assign V645332 = V616923. assign V163648 = V343056 - 1. assign V295650 = V195574. assign V423889 = V201191 + 1. assign V478291 = V791199 - 1. assign V805140 = V791199 - 1. assign V103036 = V727143 - 1. assign V873984 = V846988 - 1. assign V343056 = V617058. assign V462779 = V697083. assign V877108 = V236008 - 1. assign V125664 = V296946 + 1. assign V947671 = V429158 - 1. assign V393532 = V658272 + 1. assign V575058 = V132716. assign V500508 = V297306 - 1. assign V502209 = V617058 + 1. assign V616784 = V036431 + 1. assign V027775 = V553828. assign V619887 = V051106. assign V094132 = V479850. assign V133629 = V770920 + 1. assign V069756 = V272978 + 1. assign V791199 = V671017 - 1. assign V240412 = V628405 - 1. assign V506971 = V297306 + 1. assign V005456 = V510941 - 1. assign V949418 = V370416 - 1. assign V474240 = V617058. assign V574230 = V232350. assign V707235 = V935740 - 1. assign V124143 = V593913 - 1. assign V232350 = V525166 + 1. assign V193131 = V547973. assign V070854 = V875892 + 1. assign V593913 = V619291 + 1. assign V095324 = V921155 - 1. assign V105171 = V947671 + 1. assign V877375 = V026008 - 1. assign V004595 = V255192 - 1. assign V211346 = V005456 - 1. assign V044310 = V490796 + 1. assign V074455 = V272978. assign V073763 = V267959. assign V444620 = V272978 + 1. assign V606029 = V599716 + 1. assign V671017 = V593913. assign V820806 = V295315 - 1. assign V664378 = V525166 - 1. assign V948395 = V671017. assign V730812 = V051106 - 1. assign V139743 = V371494 - 1. assign V935740 = V338422 - 1. assign V846539 = V510941 - 1. assign V697083 = V163648. assign V070460 = V175609 + 1. assign V124737 = V026008 - 1. assign V416935 = V070460. assign V985546 = V944255 - 1. assign V043632 = V370416 - 1. assign V616923 = V818768. assign V283142 = V124143 + 1. assign V059929 = V255192. assign V109249 = V682946 + 1. assign V030186 = V236008 - 1. assign V688149 = V005456 + 1. assign V294102 = V070460 - 1. assign V821719 = V163560 - 1. assign V195574 = V163560. assign V583846 = V167163 - 1. assign V547973 = V197496 - 1. assign V045066 = V435950 + 1. assign V143081 = V069756 + 1. assign V812413 = V296946 + 1. assign V827576 = V350938 + 1. assign V343574 = V255192. assign V548312 = V005456 + 1. assign V846988 = V005456 + 1. assign V682946 = V004595 + 1. assign V826337 = V875892. assign V510941 = V069756. assign V797074 = V548312 + 1. assign V113773 = V730812. assign V073071 = V564412 + 1. assign V323013 = V548312. assign V163560 = V593913 + 1. assign V676645 = V628405 - 1. assign V326142 = V918178 - 1. assign V154121 = V338422. assign V197496 = V139743 + 1. assign V007568 = V490796. assign V036431 = V045066 - 1. assign V632306 = V606855. assign V617058 = V272978 + 1. assign V333230 = V296946 + 1. assign V711579 = V143081 + 1. assign V727143 = V255192. assign V378893 = V084957 - 1. assign V398428 = V004595 - 1. assign V338422 = V272978 + 1. assign V606855 = V132716. assign V562716 = V435950 + 1. assign V553828 = V727143 + 1. assign V265019 = V371494. assign V537387 = V154121 - 1. assign V375233 = V730812 - 1. assign V167163 = 9. assign V212635 = V154121 + 1. assign V682244 = V333230 + 1. assign V259764 = V073071 + 1. assign V373682 = V296946 - 1. assign V332742 = V769873 - 1. assign V371494 = V338422. assign V559593 = V949418. assign V918178 = V593913. assign V619291 = V255192 + 1. assign V435950 = V069756. assign V041637 = V619291 - 1. assign V734415 = V707235. assign V628405 = V212635 - 1. assign V002392 = V553828. assign V346268 = V398428 + 1. assign V267959 = V948395 - 1. assign V019374 = V619887 + 1. assign V619342 = V343574 - 1. assign V875892 = V769873 - 1. assign V713877 = V398428 + 1. assign V205117 = V820806. assign V402914 = V820806 - 1. assign V658272 = V510941. assign V350938 = V846539. assign V296946 = V343574 + 1. assign V050726 = V606855. assign V295315 = V617058. assign V026008 = V619291. assign V818768 = V343574. assign V483796 = V350938 + 1. assign V051106 = V212635 + 1. assign V769873 = V343056 - 1. assign V479850 = V338422 + 1. assign V395727 = V070460 + 1. assign V201191 = V297306 + 1. assign V557426 = V004595 + 1. assign V590921 = V707235. assign V921732 = V043632 - 1. assign V011309 = V628405. assign V599716 = V045066 + 1. assign V429158 = V026008. assign V490796 = V125664. assign V690680 = V296946 - 1. assign V921155 = V434391. assign V434391 = V769873 + 1. assign V346211 = V265019 - 1. assign V297306 = V918178 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV167163 = 9;\n\nFrom these direct assignment(s), we have: \nV583846 = V167163 - 1 = 9 - 1 =8;\nNo other variables can be derived from V583846;\nNo other variables can be derived from V167163;\n\nNow we have done all the calculations. Derived variables are:\nV167163 = 9;\nV583846 = 8;\n\nNow we have finished this problem. ANSWER:\nV167163\n", "role": "assistant" } ]

[ "V626210", "V423779" ]

[ { "content": "<context>\nassign V188723 = V705727 + 1. assign V905501 = V570250. assign V135241 = V207677 + 1. assign V044587 = V330996 + 1. assign V621342 = V008641 - 1. assign V513978 = V657412. assign V382853 = V377431 + 1. assign V207677 = V721869 - 1. assign V950564 = V181835. assign V564943 = V950564. assign V920683 = V220329. assign V939438 = V152939. assign V554049 = V079318. assign V024108 = V705663 + 1. assign V691245 = V719176 - 1. assign V575650 = V703996. assign V386050 = V685155. assign V989869 = V313789 + 1. assign V583052 = V833365 + 1. assign V174856 = V077061 + 1. assign V031777 = V327949. assign V855220 = V330996 - 1. assign V554271 = V204300 + 1. assign V510351 = V621342. assign V773267 = V705663 + 1. assign V090922 = V587442 - 1. assign V147206 = V298552. assign V321707 = V691245. assign V147182 = V155332. assign V530070 = V605554 - 1. assign V976830 = V061867 + 1. assign V507950 = V303673 + 1. assign V647327 = V080211 + 1. assign V010965 = V080211 + 1. assign V708038 = V991759 + 1. assign V766450 = V875410 - 1. assign V641109 = V095478. assign V303673 = V846827 - 1. assign V197976 = V008641 - 1. assign V762798 = V298552. assign V202063 = V030178. assign V449404 = V816448. assign V587841 = V816448 + 1. assign V001378 = V718363. assign V527849 = V360854 + 1. assign V204300 = V155332 - 1. assign V837782 = V562998. assign V008641 = V024108 + 1. assign V631957 = V950564 + 1. assign V108259 = V763894 + 1. assign V152939 = V816448. assign V424833 = V044587 - 1. assign V833365 = V719176 - 1. assign V145575 = V079318 + 1. assign V229041 = V466055 - 1. assign V800823 = V117997 + 1. assign V626210 = 7. assign V131778 = V117997. assign V713815 = V492988. assign V254487 = V330996. assign V371729 = V316588. assign V300789 = V327949. assign V230994 = V692342 + 1. assign V946245 = V374642 - 1. assign V647100 = V254487. assign V840950 = V230994 - 1. assign V562998 = V298552 + 1. assign V374642 = V722550. assign V298552 = V155332 - 1. assign V316588 = V692342. assign V287177 = V719176 - 1. assign V287453 = V773267 + 1. assign V117997 = V581079. assign V061867 = V763894 + 1. assign V957682 = V531287 + 1. assign V423779 = V626210. assign V999844 = V181835 - 1. assign V933109 = V044587 - 1. assign V657412 = V147182 - 1. assign V705727 = V647100. assign V767610 = V207677 - 1. assign V692342 = V999844. assign V587442 = V718363. assign V871588 = V331025. assign V718363 = V692342. assign V989981 = V364817 + 1. assign V360854 = V204300 + 1. assign V800642 = V375758. assign V077061 = V377431. assign V879825 = V509022. assign V267917 = V657412 + 1. assign V067758 = V077061 - 1. assign V501175 = V763894. assign V773580 = V587841 - 1. assign V491233 = V424833 - 1. assign V875410 = V621342 - 1. assign V155032 = V287177 + 1. assign V290916 = V692342 - 1. assign V197848 = V113271. assign V181835 = V378978 + 1. assign V219694 = V287177 - 1. assign V935807 = V327949. assign V640918 = V008641 - 1. assign V151703 = V204300 - 1. assign V337741 = V193531. assign V605554 = V081338 + 1. assign V095478 = V024108 + 1. assign V081338 = V095478 + 1. assign V870675 = V024108. assign V466055 = V509022. assign V155332 = V705663 - 1. assign V038338 = V287177 + 1. assign V339934 = V191217. assign V478608 = V800642 - 1. assign V376634 = V135241 - 1. assign V826907 = V605554. assign V886407 = V907935 - 1. assign V777047 = V554271 - 1. assign V898337 = V204300. assign V685155 = V147182. assign V816448 = V763894 - 1. assign V193531 = V773267 + 1. assign V674853 = V763894. assign V719005 = V298552 - 1. assign V331025 = V181835 - 1. assign V721869 = V152939. assign V266249 = V077061 + 1. assign V313789 = V999844 + 1. assign V488807 = V147182 + 1. assign V990304 = V705663 + 1. assign V377431 = V763894 + 1. assign V722550 = V509022 - 1. assign V030052 = V631957 - 1. assign V220329 = V377431 + 1. assign V531287 = V008641 + 1. assign V742547 = V564943 - 1. assign V079318 = V298552 + 1. assign V519706 = V492988 - 1. assign V905169 = V773267 + 1. assign V378978 = V008641 - 1. assign V080211 = V501175 - 1. assign V980820 = V377431 + 1. assign V991759 = V773267 + 1. assign V584499 = V079318 + 1. assign V030178 = V382853. assign V186330 = V513978. assign V396404 = V531287 - 1. assign V719176 = V621342. assign V375758 = V705663. assign V706884 = V742547. assign V327949 = V113271 + 1. assign V509022 = V763894. assign V573476 = V837782 + 1. assign V113271 = V990304 + 1. assign V846827 = V587841 - 1. assign V907935 = V079318 + 1. assign V397811 = V378978 - 1. assign V570250 = V846827 - 1. assign V492988 = V816448 - 1. assign V191217 = V008641 - 1. assign V206513 = V501175 - 1. assign V153457 = V117997 + 1. assign V929338 = V254487 - 1. assign V092852 = V287453. assign V364817 = V991759 + 1. assign V703996 = V773267. assign V330996 = V024108 + 1. assign V763894 = V705663 - 1. assign V581079 = V991759 + 1. assign V787356 = V705663 - 1. assign V068748 = V181835 + 1. assign V229947 = V773580.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V188723 = V705727 + 1. assign V905501 = V570250. assign V135241 = V207677 + 1. assign V044587 = V330996 + 1. assign V621342 = V008641 - 1. assign V513978 = V657412. assign V382853 = V377431 + 1. assign V207677 = V721869 - 1. assign V950564 = V181835. assign V564943 = V950564. assign V920683 = V220329. assign V939438 = V152939. assign V554049 = V079318. assign V024108 = V705663 + 1. assign V691245 = V719176 - 1. assign V575650 = V703996. assign V386050 = V685155. assign V989869 = V313789 + 1. assign V583052 = V833365 + 1. assign V174856 = V077061 + 1. assign V031777 = V327949. assign V855220 = V330996 - 1. assign V554271 = V204300 + 1. assign V510351 = V621342. assign V773267 = V705663 + 1. assign V090922 = V587442 - 1. assign V147206 = V298552. assign V321707 = V691245. assign V147182 = V155332. assign V530070 = V605554 - 1. assign V976830 = V061867 + 1. assign V507950 = V303673 + 1. assign V647327 = V080211 + 1. assign V010965 = V080211 + 1. assign V708038 = V991759 + 1. assign V766450 = V875410 - 1. assign V641109 = V095478. assign V303673 = V846827 - 1. assign V197976 = V008641 - 1. assign V762798 = V298552. assign V202063 = V030178. assign V449404 = V816448. assign V587841 = V816448 + 1. assign V001378 = V718363. assign V527849 = V360854 + 1. assign V204300 = V155332 - 1. assign V837782 = V562998. assign V008641 = V024108 + 1. assign V631957 = V950564 + 1. assign V108259 = V763894 + 1. assign V152939 = V816448. assign V424833 = V044587 - 1. assign V833365 = V719176 - 1. assign V145575 = V079318 + 1. assign V229041 = V466055 - 1. assign V800823 = V117997 + 1. assign V626210 = 7. assign V131778 = V117997. assign V713815 = V492988. assign V254487 = V330996. assign V371729 = V316588. assign V300789 = V327949. assign V230994 = V692342 + 1. assign V946245 = V374642 - 1. assign V647100 = V254487. assign V840950 = V230994 - 1. assign V562998 = V298552 + 1. assign V374642 = V722550. assign V298552 = V155332 - 1. assign V316588 = V692342. assign V287177 = V719176 - 1. assign V287453 = V773267 + 1. assign V117997 = V581079. assign V061867 = V763894 + 1. assign V957682 = V531287 + 1. assign V423779 = V626210. assign V999844 = V181835 - 1. assign V933109 = V044587 - 1. assign V657412 = V147182 - 1. assign V705727 = V647100. assign V767610 = V207677 - 1. assign V692342 = V999844. assign V587442 = V718363. assign V871588 = V331025. assign V718363 = V692342. assign V989981 = V364817 + 1. assign V360854 = V204300 + 1. assign V800642 = V375758. assign V077061 = V377431. assign V879825 = V509022. assign V267917 = V657412 + 1. assign V067758 = V077061 - 1. assign V501175 = V763894. assign V773580 = V587841 - 1. assign V491233 = V424833 - 1. assign V875410 = V621342 - 1. assign V155032 = V287177 + 1. assign V290916 = V692342 - 1. assign V197848 = V113271. assign V181835 = V378978 + 1. assign V219694 = V287177 - 1. assign V935807 = V327949. assign V640918 = V008641 - 1. assign V151703 = V204300 - 1. assign V337741 = V193531. assign V605554 = V081338 + 1. assign V095478 = V024108 + 1. assign V081338 = V095478 + 1. assign V870675 = V024108. assign V466055 = V509022. assign V155332 = V705663 - 1. assign V038338 = V287177 + 1. assign V339934 = V191217. assign V478608 = V800642 - 1. assign V376634 = V135241 - 1. assign V826907 = V605554. assign V886407 = V907935 - 1. assign V777047 = V554271 - 1. assign V898337 = V204300. assign V685155 = V147182. assign V816448 = V763894 - 1. assign V193531 = V773267 + 1. assign V674853 = V763894. assign V719005 = V298552 - 1. assign V331025 = V181835 - 1. assign V721869 = V152939. assign V266249 = V077061 + 1. assign V313789 = V999844 + 1. assign V488807 = V147182 + 1. assign V990304 = V705663 + 1. assign V377431 = V763894 + 1. assign V722550 = V509022 - 1. assign V030052 = V631957 - 1. assign V220329 = V377431 + 1. assign V531287 = V008641 + 1. assign V742547 = V564943 - 1. assign V079318 = V298552 + 1. assign V519706 = V492988 - 1. assign V905169 = V773267 + 1. assign V378978 = V008641 - 1. assign V080211 = V501175 - 1. assign V980820 = V377431 + 1. assign V991759 = V773267 + 1. assign V584499 = V079318 + 1. assign V030178 = V382853. assign V186330 = V513978. assign V396404 = V531287 - 1. assign V719176 = V621342. assign V375758 = V705663. assign V706884 = V742547. assign V327949 = V113271 + 1. assign V509022 = V763894. assign V573476 = V837782 + 1. assign V113271 = V990304 + 1. assign V846827 = V587841 - 1. assign V907935 = V079318 + 1. assign V397811 = V378978 - 1. assign V570250 = V846827 - 1. assign V492988 = V816448 - 1. assign V191217 = V008641 - 1. assign V206513 = V501175 - 1. assign V153457 = V117997 + 1. assign V929338 = V254487 - 1. assign V092852 = V287453. assign V364817 = V991759 + 1. assign V703996 = V773267. assign V330996 = V024108 + 1. assign V763894 = V705663 - 1. assign V581079 = V991759 + 1. assign V787356 = V705663 - 1. assign V068748 = V181835 + 1. assign V229947 = V773580.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV626210 = 7;\n\nFrom these direct assignment(s), we have: \nV423779 = V626210 = 7;\nNo other variables can be derived from V423779;\nNo other variables can be derived from V626210;\n\nNow we have done all the calculations. Derived variables are:\nV626210 = 7;\nV423779 = 7;\n\nNow we have finished this problem. ANSWER:\nV626210, V423779\n", "role": "assistant" } ]

[ "V233364" ]

[ { "content": "<context>\nassign V905068 = V507651 - 1. assign V372665 = V684930 - 1. assign V633211 = V766059. assign V975022 = V784525 + 1. assign V263544 = V106553 - 1. assign V857484 = V855383 + 1. assign V468557 = V765147 - 1. assign V250822 = V666335 + 1. assign V665136 = V339369 + 1. assign V359525 = V765147 + 1. assign V766059 = V574913 + 1. assign V431953 = V684370 + 1. assign V670103 = V480443 + 1. assign V590280 = V249334 - 1. assign V934368 = V061024 + 1. assign V711785 = V292646 - 1. assign V684930 = V061024. assign V296294 = V584517. assign V505582 = V648789. assign V835203 = V778817 - 1. assign V505641 = V304764 + 1. assign V976698 = V929664. assign V966595 = V820625 + 1. assign V658493 = V117211. assign V719571 = V905850 - 1. assign V197148 = V684370. assign V420459 = V460219. assign V428324 = V706082 - 1. assign V570828 = V497528 - 1. assign V216830 = V823127 - 1. assign V986631 = V570789. assign V299010 = V106553 - 1. assign V081853 = V835203 - 1. assign V304764 = V206721 - 1. assign V255359 = V476057 + 1. assign V237446 = V491535 - 1. assign V743607 = V527203 + 1. assign V702711 = V449876 + 1. assign V117211 = V574913 + 1. assign V006979 = V367881. assign V326738 = V823127. assign V071159 = V663021 + 1. assign V545405 = V878511 - 1. assign V491535 = V613992 - 1. assign V136387 = V497528 + 1. assign V082744 = V785581. assign V859901 = V780827 - 1. assign V929664 = V724483 + 1. assign V249334 = V136399 - 1. assign V331219 = V642652. assign V823603 = V934368. assign V184504 = V906197. assign V724483 = V428324 - 1. assign V327677 = V448507. assign V692822 = V624570. assign V339369 = V428324 + 1. assign V978325 = V197885. assign V027426 = V571381 + 1. assign V901075 = V216574 + 1. assign V137101 = V876113 + 1. assign V646878 = V855383 - 1. assign V527203 = V477283. assign V823693 = V766059 - 1. assign V292646 = V905850. assign V652813 = V491535 - 1. assign V171405 = V724483. assign V448774 = V766059 - 1. assign V810315 = V393562 + 1. assign V362815 = V665136 - 1. assign V480443 = V706082 + 1. assign V380860 = V081853. assign V396729 = V780827 + 1. assign V038001 = V823693. assign V654781 = V855383. assign V674097 = V233364 + 1. assign V823127 = V905850 - 1. assign V401432 = V670103 + 1. assign V558839 = V214769. assign V477283 = V522987. assign V685085 = V106571. assign V296622 = V367881 + 1. assign V158344 = V081853 + 1. assign V679637 = V216830 + 1. assign V431202 = V299010 - 1. assign V752147 = V866968 - 1. assign V531307 = V739431. assign V481002 = V497528 + 1. assign V167429 = V480443 + 1. assign V780827 = V522987 + 1. assign V880131 = V522987. assign V962960 = V778817. assign V522080 = V766059 - 1. assign V861513 = V117211. assign V393562 = V106571 + 1. assign V855383 = V522987. assign V216574 = V771530. assign V905850 = V724483. assign V206721 = V574913 + 1. assign V820625 = V905850 + 1. assign V878511 = V106553 - 1. assign V613992 = V106553 - 1. assign V778817 = V117211 - 1. assign V991518 = V906197. assign V666335 = V685085 + 1. assign V395786 = V250822 + 1. assign V570789 = V117211. assign V792613 = V820625. assign V370988 = V589569 - 1. assign V106553 = V522987. assign V571381 = V339369 + 1. assign V819840 = V219298. assign V765147 = V292646 + 1. assign V726758 = V367881. assign V106571 = V428324. assign V624570 = V766059 + 1. assign V507651 = V706082. assign V214351 = V432219 + 1. assign V506281 = V574913 - 1. assign V771530 = V766059 + 1. assign V623203 = V206721. assign V648789 = V663021 - 1. assign V317011 = V497528. assign V497528 = V859901. assign V739431 = V106571 - 1. assign V067027 = V905850 + 1. assign V818430 = V570828 + 1. assign V474434 = V106571. assign V589569 = V719571 + 1. assign V449876 = V137101 - 1. assign V203139 = V570828 - 1. assign V264949 = V986631 + 1. assign V432219 = V724483 - 1. assign V876113 = V106553 - 1. assign V906197 = V780827. assign V033389 = V326738 - 1. assign V253376 = V894747. assign V995652 = V432219 + 1. assign V894747 = V299010 + 1. assign V339127 = V067027 - 1. assign V476057 = V876113. assign V964089 = V570828. assign V117461 = V296622. assign V061024 = V855383 + 1. assign V684332 = V428324. assign V587805 = V743607. assign V785581 = V522080 + 1. assign V214769 = V784525 + 1. assign V504464 = V497528. assign V233364 = 9. assign V320437 = V507651 + 1. assign V085491 = V624570 - 1. assign V737415 = V071159 + 1. assign V136399 = V219298 + 1. assign V197885 = V685085 - 1. assign V584517 = V272938. assign V516731 = V778817 - 1. assign V642652 = V061024 + 1. assign V663021 = V724483 - 1. assign V460219 = V299010. assign V448507 = V574913 + 1. assign V417576 = V780827 - 1. assign V219298 = V859901 + 1. assign V784525 = V570828 - 1. assign V367881 = V527203 - 1. assign V149620 = V859901 + 1. assign V866968 = V823693 + 1. assign V535507 = V766059 + 1. assign V706082 = V780827. assign V684370 = V684332 - 1. assign V522987 = V574913 + 1. assign V272938 = V646878. assign V043476 = V476057 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V905068 = V507651 - 1. assign V372665 = V684930 - 1. assign V633211 = V766059. assign V975022 = V784525 + 1. assign V263544 = V106553 - 1. assign V857484 = V855383 + 1. assign V468557 = V765147 - 1. assign V250822 = V666335 + 1. assign V665136 = V339369 + 1. assign V359525 = V765147 + 1. assign V766059 = V574913 + 1. assign V431953 = V684370 + 1. assign V670103 = V480443 + 1. assign V590280 = V249334 - 1. assign V934368 = V061024 + 1. assign V711785 = V292646 - 1. assign V684930 = V061024. assign V296294 = V584517. assign V505582 = V648789. assign V835203 = V778817 - 1. assign V505641 = V304764 + 1. assign V976698 = V929664. assign V966595 = V820625 + 1. assign V658493 = V117211. assign V719571 = V905850 - 1. assign V197148 = V684370. assign V420459 = V460219. assign V428324 = V706082 - 1. assign V570828 = V497528 - 1. assign V216830 = V823127 - 1. assign V986631 = V570789. assign V299010 = V106553 - 1. assign V081853 = V835203 - 1. assign V304764 = V206721 - 1. assign V255359 = V476057 + 1. assign V237446 = V491535 - 1. assign V743607 = V527203 + 1. assign V702711 = V449876 + 1. assign V117211 = V574913 + 1. assign V006979 = V367881. assign V326738 = V823127. assign V071159 = V663021 + 1. assign V545405 = V878511 - 1. assign V491535 = V613992 - 1. assign V136387 = V497528 + 1. assign V082744 = V785581. assign V859901 = V780827 - 1. assign V929664 = V724483 + 1. assign V249334 = V136399 - 1. assign V331219 = V642652. assign V823603 = V934368. assign V184504 = V906197. assign V724483 = V428324 - 1. assign V327677 = V448507. assign V692822 = V624570. assign V339369 = V428324 + 1. assign V978325 = V197885. assign V027426 = V571381 + 1. assign V901075 = V216574 + 1. assign V137101 = V876113 + 1. assign V646878 = V855383 - 1. assign V527203 = V477283. assign V823693 = V766059 - 1. assign V292646 = V905850. assign V652813 = V491535 - 1. assign V171405 = V724483. assign V448774 = V766059 - 1. assign V810315 = V393562 + 1. assign V362815 = V665136 - 1. assign V480443 = V706082 + 1. assign V380860 = V081853. assign V396729 = V780827 + 1. assign V038001 = V823693. assign V654781 = V855383. assign V674097 = V233364 + 1. assign V823127 = V905850 - 1. assign V401432 = V670103 + 1. assign V558839 = V214769. assign V477283 = V522987. assign V685085 = V106571. assign V296622 = V367881 + 1. assign V158344 = V081853 + 1. assign V679637 = V216830 + 1. assign V431202 = V299010 - 1. assign V752147 = V866968 - 1. assign V531307 = V739431. assign V481002 = V497528 + 1. assign V167429 = V480443 + 1. assign V780827 = V522987 + 1. assign V880131 = V522987. assign V962960 = V778817. assign V522080 = V766059 - 1. assign V861513 = V117211. assign V393562 = V106571 + 1. assign V855383 = V522987. assign V216574 = V771530. assign V905850 = V724483. assign V206721 = V574913 + 1. assign V820625 = V905850 + 1. assign V878511 = V106553 - 1. assign V613992 = V106553 - 1. assign V778817 = V117211 - 1. assign V991518 = V906197. assign V666335 = V685085 + 1. assign V395786 = V250822 + 1. assign V570789 = V117211. assign V792613 = V820625. assign V370988 = V589569 - 1. assign V106553 = V522987. assign V571381 = V339369 + 1. assign V819840 = V219298. assign V765147 = V292646 + 1. assign V726758 = V367881. assign V106571 = V428324. assign V624570 = V766059 + 1. assign V507651 = V706082. assign V214351 = V432219 + 1. assign V506281 = V574913 - 1. assign V771530 = V766059 + 1. assign V623203 = V206721. assign V648789 = V663021 - 1. assign V317011 = V497528. assign V497528 = V859901. assign V739431 = V106571 - 1. assign V067027 = V905850 + 1. assign V818430 = V570828 + 1. assign V474434 = V106571. assign V589569 = V719571 + 1. assign V449876 = V137101 - 1. assign V203139 = V570828 - 1. assign V264949 = V986631 + 1. assign V432219 = V724483 - 1. assign V876113 = V106553 - 1. assign V906197 = V780827. assign V033389 = V326738 - 1. assign V253376 = V894747. assign V995652 = V432219 + 1. assign V894747 = V299010 + 1. assign V339127 = V067027 - 1. assign V476057 = V876113. assign V964089 = V570828. assign V117461 = V296622. assign V061024 = V855383 + 1. assign V684332 = V428324. assign V587805 = V743607. assign V785581 = V522080 + 1. assign V214769 = V784525 + 1. assign V504464 = V497528. assign V233364 = 9. assign V320437 = V507651 + 1. assign V085491 = V624570 - 1. assign V737415 = V071159 + 1. assign V136399 = V219298 + 1. assign V197885 = V685085 - 1. assign V584517 = V272938. assign V516731 = V778817 - 1. assign V642652 = V061024 + 1. assign V663021 = V724483 - 1. assign V460219 = V299010. assign V448507 = V574913 + 1. assign V417576 = V780827 - 1. assign V219298 = V859901 + 1. assign V784525 = V570828 - 1. assign V367881 = V527203 - 1. assign V149620 = V859901 + 1. assign V866968 = V823693 + 1. assign V535507 = V766059 + 1. assign V706082 = V780827. assign V684370 = V684332 - 1. assign V522987 = V574913 + 1. assign V272938 = V646878. assign V043476 = V476057 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV233364 = 9;\n\nFrom these direct assignment(s), we have: \nV674097 = V233364 + 1 = 9 + 1 =10;\nNo other variables can be derived from V674097;\nNo other variables can be derived from V233364;\n\nNow we have done all the calculations. Derived variables are:\nV233364 = 9;\nV674097 = 10;\n\nNow we have finished this problem. ANSWER:\nV233364\n", "role": "assistant" } ]

[ "V521112" ]

[ { "content": "<context>\nassign V905234 = V255340. assign V388238 = V433556 + 1. assign V042000 = V977603 + 1. assign V169488 = V246200 + 1. assign V299094 = V977603. assign V831521 = V648887. assign V940959 = V398846. assign V767368 = V259093. assign V944275 = V831521 - 1. assign V712062 = V782733 + 1. assign V713202 = V372813. assign V950043 = V898381. assign V954178 = V181690 - 1. assign V532891 = V448093. assign V648887 = V246200. assign V791190 = V993769. assign V067501 = V831521. assign V320293 = V936411 - 1. assign V951657 = V532891 - 1. assign V006921 = V761777 + 1. assign V869293 = V443664. assign V431865 = V470123 - 1. assign V681547 = V336036. assign V067772 = V181690 - 1. assign V398846 = V648887 + 1. assign V506619 = V532891. assign V433556 = V433934 - 1. assign V409231 = V336957. assign V489763 = V936411 + 1. assign V435911 = V761510 - 1. assign V782733 = V304016 + 1. assign V283018 = V433556 + 1. assign V900974 = V389156 - 1. assign V653742 = V951657 - 1. assign V326425 = V169488 + 1. assign V189750 = V881542 - 1. assign V124507 = V648887. assign V232002 = V681547 - 1. assign V016990 = V220470 - 1. assign V744887 = V332720. assign V443664 = V196852. assign V372813 = V255340 + 1. assign V212112 = V186949 - 1. assign V504449 = V210393 - 1. assign V029611 = V210393 + 1. assign V933794 = V713935. assign V164388 = V124507 + 1. assign V018531 = V521112 + 1. assign V718855 = V212112. assign V287578 = V977603 + 1. assign V800813 = V665618. assign V588200 = V958088 + 1. assign V965326 = V532891 + 1. assign V310027 = V232002 - 1. assign V161818 = V220470. assign V521112 = 8. assign V269640 = V622177 - 1. assign V475519 = V704306. assign V831723 = V336036 + 1. assign V704306 = V958088. assign V635511 = V431865 + 1. assign V931131 = V246200. assign V705695 = V547795 + 1. assign V336957 = V791190 + 1. assign V179025 = V817022. assign V466061 = V958088 + 1. assign V761510 = V881542 - 1. assign V181690 = V398846 + 1. assign V760310 = V102990 - 1. assign V547795 = V336957. assign V453271 = V196852. assign V754836 = V704306 + 1. assign V333954 = V388238 + 1. assign V468227 = V519987. assign V682163 = V000871. assign V592420 = V169488. assign V196852 = V993769 - 1. assign V817022 = V312796 - 1. assign V058004 = V993769 + 1. assign V978352 = V993769 - 1. assign V332720 = V169488 + 1. assign V389156 = V220470 - 1. assign V101465 = V245385 + 1. assign V898381 = V196852 + 1. assign V901840 = V942786 - 1. assign V407188 = V058004. assign V159093 = V336036 - 1. assign V053985 = V993769 + 1. assign V867555 = V739273 - 1. assign V191682 = V965326 + 1. assign V850116 = V935267. assign V246589 = V124507 - 1. assign V312796 = V433556 + 1. assign V399640 = V270154 - 1. assign V665618 = V124507. assign V014777 = V898381. assign V977603 = V196852. assign V622177 = V433934 + 1. assign V726185 = V767368 - 1. assign V523134 = V901840. assign V993769 = V212112 + 1. assign V479847 = V181690. assign V770994 = V466061. assign V492401 = V468227. assign V628030 = V648887 - 1. assign V282980 = V332720. assign V043476 = V867555 - 1. assign V989090 = V398846 + 1. assign V980718 = V246200 + 1. assign V247014 = V255340 - 1. assign V104495 = V869293 + 1. assign V935267 = V643665 + 1. assign V551839 = V245385. assign V447777 = V831521 + 1. assign V186949 = V433934. assign V602592 = V958088 - 1. assign V336036 = V980718 + 1. assign V202291 = V718855. assign V259093 = V326425 + 1. assign V472457 = V239551 - 1. assign V022441 = V506619 - 1. assign V881542 = V259093 - 1. assign V729731 = V443664 + 1. assign V181880 = V312796 + 1. assign V438392 = V506619 - 1. assign V255340 = V246200 - 1. assign V470123 = V246200 + 1. assign V448093 = V169488 - 1. assign V737534 = V931131 + 1. assign V210393 = V212112. assign V434372 = V245385 - 1. assign V597741 = V259093. assign V063846 = V161818 + 1. assign V936411 = V648887 + 1. assign V670524 = V443664 + 1. assign V499081 = V186949 - 1. assign V958088 = V246200 - 1. assign V074451 = V499081. assign V304016 = V169488 + 1. assign V659581 = V901840. assign V537636 = V954178 - 1. assign V761777 = V433934 + 1. assign V245385 = V220470 - 1. assign V643665 = V220470 - 1. assign V220030 = V648887 + 1. assign V090172 = V905234 + 1. assign V218110 = V101465 + 1. assign V457724 = V768578 + 1. assign V711760 = V332720. assign V239551 = V014777 - 1. assign V056097 = V537636 - 1. assign V101671 = V043476 - 1. assign V349209 = V898381 - 1. assign V433934 = V980718 - 1. assign V270154 = V718855. assign V767357 = V931131 - 1. assign V713935 = V739273. assign V768578 = V472457 - 1. assign V610218 = V000871 + 1. assign V738657 = V704306 - 1. assign V248581 = V186949. assign V820626 = V169488. assign V942786 = V255340 + 1. assign V851814 = V831521 - 1. assign V051509 = V653742 - 1. assign V590223 = V169488 - 1. assign V409072 = V259093 + 1. assign V519987 = V942786 - 1. assign V220470 = V212112 + 1. assign V102990 = V643665 + 1. assign V739273 = V993769 - 1. assign V000871 = V940959 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V905234 = V255340. assign V388238 = V433556 + 1. assign V042000 = V977603 + 1. assign V169488 = V246200 + 1. assign V299094 = V977603. assign V831521 = V648887. assign V940959 = V398846. assign V767368 = V259093. assign V944275 = V831521 - 1. assign V712062 = V782733 + 1. assign V713202 = V372813. assign V950043 = V898381. assign V954178 = V181690 - 1. assign V532891 = V448093. assign V648887 = V246200. assign V791190 = V993769. assign V067501 = V831521. assign V320293 = V936411 - 1. assign V951657 = V532891 - 1. assign V006921 = V761777 + 1. assign V869293 = V443664. assign V431865 = V470123 - 1. assign V681547 = V336036. assign V067772 = V181690 - 1. assign V398846 = V648887 + 1. assign V506619 = V532891. assign V433556 = V433934 - 1. assign V409231 = V336957. assign V489763 = V936411 + 1. assign V435911 = V761510 - 1. assign V782733 = V304016 + 1. assign V283018 = V433556 + 1. assign V900974 = V389156 - 1. assign V653742 = V951657 - 1. assign V326425 = V169488 + 1. assign V189750 = V881542 - 1. assign V124507 = V648887. assign V232002 = V681547 - 1. assign V016990 = V220470 - 1. assign V744887 = V332720. assign V443664 = V196852. assign V372813 = V255340 + 1. assign V212112 = V186949 - 1. assign V504449 = V210393 - 1. assign V029611 = V210393 + 1. assign V933794 = V713935. assign V164388 = V124507 + 1. assign V018531 = V521112 + 1. assign V718855 = V212112. assign V287578 = V977603 + 1. assign V800813 = V665618. assign V588200 = V958088 + 1. assign V965326 = V532891 + 1. assign V310027 = V232002 - 1. assign V161818 = V220470. assign V521112 = 8. assign V269640 = V622177 - 1. assign V475519 = V704306. assign V831723 = V336036 + 1. assign V704306 = V958088. assign V635511 = V431865 + 1. assign V931131 = V246200. assign V705695 = V547795 + 1. assign V336957 = V791190 + 1. assign V179025 = V817022. assign V466061 = V958088 + 1. assign V761510 = V881542 - 1. assign V181690 = V398846 + 1. assign V760310 = V102990 - 1. assign V547795 = V336957. assign V453271 = V196852. assign V754836 = V704306 + 1. assign V333954 = V388238 + 1. assign V468227 = V519987. assign V682163 = V000871. assign V592420 = V169488. assign V196852 = V993769 - 1. assign V817022 = V312796 - 1. assign V058004 = V993769 + 1. assign V978352 = V993769 - 1. assign V332720 = V169488 + 1. assign V389156 = V220470 - 1. assign V101465 = V245385 + 1. assign V898381 = V196852 + 1. assign V901840 = V942786 - 1. assign V407188 = V058004. assign V159093 = V336036 - 1. assign V053985 = V993769 + 1. assign V867555 = V739273 - 1. assign V191682 = V965326 + 1. assign V850116 = V935267. assign V246589 = V124507 - 1. assign V312796 = V433556 + 1. assign V399640 = V270154 - 1. assign V665618 = V124507. assign V014777 = V898381. assign V977603 = V196852. assign V622177 = V433934 + 1. assign V726185 = V767368 - 1. assign V523134 = V901840. assign V993769 = V212112 + 1. assign V479847 = V181690. assign V770994 = V466061. assign V492401 = V468227. assign V628030 = V648887 - 1. assign V282980 = V332720. assign V043476 = V867555 - 1. assign V989090 = V398846 + 1. assign V980718 = V246200 + 1. assign V247014 = V255340 - 1. assign V104495 = V869293 + 1. assign V935267 = V643665 + 1. assign V551839 = V245385. assign V447777 = V831521 + 1. assign V186949 = V433934. assign V602592 = V958088 - 1. assign V336036 = V980718 + 1. assign V202291 = V718855. assign V259093 = V326425 + 1. assign V472457 = V239551 - 1. assign V022441 = V506619 - 1. assign V881542 = V259093 - 1. assign V729731 = V443664 + 1. assign V181880 = V312796 + 1. assign V438392 = V506619 - 1. assign V255340 = V246200 - 1. assign V470123 = V246200 + 1. assign V448093 = V169488 - 1. assign V737534 = V931131 + 1. assign V210393 = V212112. assign V434372 = V245385 - 1. assign V597741 = V259093. assign V063846 = V161818 + 1. assign V936411 = V648887 + 1. assign V670524 = V443664 + 1. assign V499081 = V186949 - 1. assign V958088 = V246200 - 1. assign V074451 = V499081. assign V304016 = V169488 + 1. assign V659581 = V901840. assign V537636 = V954178 - 1. assign V761777 = V433934 + 1. assign V245385 = V220470 - 1. assign V643665 = V220470 - 1. assign V220030 = V648887 + 1. assign V090172 = V905234 + 1. assign V218110 = V101465 + 1. assign V457724 = V768578 + 1. assign V711760 = V332720. assign V239551 = V014777 - 1. assign V056097 = V537636 - 1. assign V101671 = V043476 - 1. assign V349209 = V898381 - 1. assign V433934 = V980718 - 1. assign V270154 = V718855. assign V767357 = V931131 - 1. assign V713935 = V739273. assign V768578 = V472457 - 1. assign V610218 = V000871 + 1. assign V738657 = V704306 - 1. assign V248581 = V186949. assign V820626 = V169488. assign V942786 = V255340 + 1. assign V851814 = V831521 - 1. assign V051509 = V653742 - 1. assign V590223 = V169488 - 1. assign V409072 = V259093 + 1. assign V519987 = V942786 - 1. assign V220470 = V212112 + 1. assign V102990 = V643665 + 1. assign V739273 = V993769 - 1. assign V000871 = V940959 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV521112 = 8;\n\nFrom these direct assignment(s), we have: \nV018531 = V521112 + 1 = 8 + 1 =9;\nNo other variables can be derived from V018531;\nNo other variables can be derived from V521112;\n\nNow we have done all the calculations. Derived variables are:\nV521112 = 8;\nV018531 = 9;\n\nNow we have finished this problem. ANSWER:\nV521112\n", "role": "assistant" } ]

[ "V055053" ]

[ { "content": "<context>\nassign V869974 = V400881. assign V325331 = V042077. assign V601566 = V941733. assign V227581 = V647019. assign V338411 = V674460. assign V762432 = V823329. assign V423239 = V397306 + 1. assign V696114 = V658713 - 1. assign V882423 = V219563 + 1. assign V014666 = V696114 - 1. assign V397306 = V017341 - 1. assign V744694 = V699379 + 1. assign V057982 = V422064. assign V146571 = V840047. assign V195489 = V826528. assign V669903 = V377381 + 1. assign V509071 = V195489 - 1. assign V806749 = V017341 + 1. assign V556250 = V699379 - 1. assign V822407 = V325331. assign V306172 = V830817. assign V756994 = V809136. assign V925382 = V658713 + 1. assign V949555 = V685611 + 1. assign V871671 = V259644. assign V957854 = V586169 - 1. assign V571128 = V050686. assign V892720 = V153833 + 1. assign V086765 = V040094 + 1. assign V215063 = V685611 - 1. assign V432175 = V844290 - 1. assign V479036 = V699379. assign V206566 = V685611. assign V976014 = V219563. assign V084416 = V422064. assign V960371 = V422064 - 1. assign V110985 = V726353. assign V639572 = V525290. assign V358344 = V317865. assign V042077 = V827022 - 1. assign V777074 = V792350 + 1. assign V849129 = V422064 + 1. assign V010187 = V952480. assign V871638 = V422064. assign V353526 = V195489 - 1. assign V755911 = V833228 - 1. assign V523898 = V219563 + 1. assign V113435 = V407797 + 1. assign V974838 = V882423. assign V025907 = V535156 - 1. assign V283154 = V556250 - 1. assign V507835 = V991727 + 1. assign V836283 = V844290 - 1. assign V081722 = V882423. assign V237437 = V792350 - 1. assign V735302 = V826528 + 1. assign V050686 = V115145 - 1. assign V662041 = V422064 - 1. assign V833228 = V366170. assign V124884 = V667317. assign V377381 = V040094. assign V667317 = V084416 - 1. assign V670857 = V219563 + 1. assign V215295 = V667317 - 1. assign V965269 = V040094. assign V626251 = V823329 + 1. assign V656452 = V952452. assign V422748 = V965269. assign V991727 = V366170 - 1. assign V952452 = V040094 - 1. assign V407797 = V366170 + 1. assign V525290 = V960371 + 1. assign V658713 = V155272 + 1. assign V214751 = V057982 + 1. assign V693440 = V219563. assign V155272 = V960371 + 1. assign V736961 = V869974 + 1. assign V015838 = V670857. assign V115644 = V882423 + 1. assign V017341 = V844290. assign V162854 = V409454 + 1. assign V243543 = V350326. assign V714976 = V836283 - 1. assign V803670 = V525290 + 1. assign V287993 = V921826. assign V953370 = V155272. assign V132209 = V658713 - 1. assign V629450 = V975971 + 1. assign V829469 = V525290 - 1. assign V153833 = V057982. assign V844290 = V219563 + 1. assign V813334 = V185692 - 1. assign V044692 = V658713 - 1. assign V410434 = V827022. assign V952480 = V306172. assign V636356 = V762432 - 1. assign V417753 = V350326 - 1. assign V640198 = V925382 - 1. assign V823329 = V057982 + 1. assign V830817 = V844290 + 1. assign V715260 = V974838 - 1. assign V190690 = V422064 - 1. assign V699379 = V040094 - 1. assign V767381 = V424824 - 1. assign V964039 = V424824 - 1. assign V906806 = V115145 + 1. assign V685611 = V409454. assign V590111 = V162854. assign V405274 = V826528 - 1. assign V299391 = V432175 - 1. assign V556041 = V460697 + 1. assign V077301 = V206566. assign V365218 = V040094 + 1. assign V219563 = V662041 + 1. assign V096018 = V086765 - 1. assign V647019 = V377381 + 1. assign V657465 = V460697. assign V975971 = V402895. assign V361341 = V849129 + 1. assign V267119 = V006585 - 1. assign V006585 = V809136. assign V726353 = V479036. assign V674460 = V042077 - 1. assign V223466 = 4. assign V561736 = V283154 - 1. assign V317865 = V084416 + 1. assign V792350 = V432175 + 1. assign V460697 = V991727 + 1. assign V551024 = V200100. assign V200100 = V057982. assign V055053 = V223466 + 1. assign V179090 = V407797 - 1. assign V417087 = V084416 - 1. assign V476961 = V770179 - 1. assign V395452 = V975971 + 1. assign V809136 = V871638. assign V818104 = V756994. assign V635458 = V350326 + 1. assign V827022 = V871638 + 1. assign V115145 = V685611 + 1. assign V940916 = V243543 - 1. assign V402895 = V350326. assign V400881 = V113435 - 1. assign V921826 = V806749. assign V877787 = V974838 + 1. assign V053369 = V827022. assign V952467 = V299391 - 1. assign V185692 = V115145 + 1. assign V460207 = V366170 + 1. assign V535156 = V153833 + 1. assign V930620 = V014666. assign V405908 = V410434 + 1. assign V497704 = V952467. assign V259644 = V113435 + 1. assign V780124 = V299391. assign V513366 = V974838 - 1. assign V524626 = V115145. assign V040094 = V892720 - 1. assign V826528 = V400881 - 1. assign V366170 = V422064 + 1. assign V918473 = V674460 + 1. assign V424824 = V057982 + 1. assign V626091 = V693440. assign V708566 = V422064 - 1. assign V409454 = V892720 - 1. assign V840047 = V185692 - 1. assign V350326 = V424824. assign V941733 = V146571 + 1. assign V586169 = V833228 + 1. assign V615869 = V921826 + 1. assign V786781 = V402895 + 1. assign V770179 = V366170 + 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 V869974 = V400881. assign V325331 = V042077. assign V601566 = V941733. assign V227581 = V647019. assign V338411 = V674460. assign V762432 = V823329. assign V423239 = V397306 + 1. assign V696114 = V658713 - 1. assign V882423 = V219563 + 1. assign V014666 = V696114 - 1. assign V397306 = V017341 - 1. assign V744694 = V699379 + 1. assign V057982 = V422064. assign V146571 = V840047. assign V195489 = V826528. assign V669903 = V377381 + 1. assign V509071 = V195489 - 1. assign V806749 = V017341 + 1. assign V556250 = V699379 - 1. assign V822407 = V325331. assign V306172 = V830817. assign V756994 = V809136. assign V925382 = V658713 + 1. assign V949555 = V685611 + 1. assign V871671 = V259644. assign V957854 = V586169 - 1. assign V571128 = V050686. assign V892720 = V153833 + 1. assign V086765 = V040094 + 1. assign V215063 = V685611 - 1. assign V432175 = V844290 - 1. assign V479036 = V699379. assign V206566 = V685611. assign V976014 = V219563. assign V084416 = V422064. assign V960371 = V422064 - 1. assign V110985 = V726353. assign V639572 = V525290. assign V358344 = V317865. assign V042077 = V827022 - 1. assign V777074 = V792350 + 1. assign V849129 = V422064 + 1. assign V010187 = V952480. assign V871638 = V422064. assign V353526 = V195489 - 1. assign V755911 = V833228 - 1. assign V523898 = V219563 + 1. assign V113435 = V407797 + 1. assign V974838 = V882423. assign V025907 = V535156 - 1. assign V283154 = V556250 - 1. assign V507835 = V991727 + 1. assign V836283 = V844290 - 1. assign V081722 = V882423. assign V237437 = V792350 - 1. assign V735302 = V826528 + 1. assign V050686 = V115145 - 1. assign V662041 = V422064 - 1. assign V833228 = V366170. assign V124884 = V667317. assign V377381 = V040094. assign V667317 = V084416 - 1. assign V670857 = V219563 + 1. assign V215295 = V667317 - 1. assign V965269 = V040094. assign V626251 = V823329 + 1. assign V656452 = V952452. assign V422748 = V965269. assign V991727 = V366170 - 1. assign V952452 = V040094 - 1. assign V407797 = V366170 + 1. assign V525290 = V960371 + 1. assign V658713 = V155272 + 1. assign V214751 = V057982 + 1. assign V693440 = V219563. assign V155272 = V960371 + 1. assign V736961 = V869974 + 1. assign V015838 = V670857. assign V115644 = V882423 + 1. assign V017341 = V844290. assign V162854 = V409454 + 1. assign V243543 = V350326. assign V714976 = V836283 - 1. assign V803670 = V525290 + 1. assign V287993 = V921826. assign V953370 = V155272. assign V132209 = V658713 - 1. assign V629450 = V975971 + 1. assign V829469 = V525290 - 1. assign V153833 = V057982. assign V844290 = V219563 + 1. assign V813334 = V185692 - 1. assign V044692 = V658713 - 1. assign V410434 = V827022. assign V952480 = V306172. assign V636356 = V762432 - 1. assign V417753 = V350326 - 1. assign V640198 = V925382 - 1. assign V823329 = V057982 + 1. assign V830817 = V844290 + 1. assign V715260 = V974838 - 1. assign V190690 = V422064 - 1. assign V699379 = V040094 - 1. assign V767381 = V424824 - 1. assign V964039 = V424824 - 1. assign V906806 = V115145 + 1. assign V685611 = V409454. assign V590111 = V162854. assign V405274 = V826528 - 1. assign V299391 = V432175 - 1. assign V556041 = V460697 + 1. assign V077301 = V206566. assign V365218 = V040094 + 1. assign V219563 = V662041 + 1. assign V096018 = V086765 - 1. assign V647019 = V377381 + 1. assign V657465 = V460697. assign V975971 = V402895. assign V361341 = V849129 + 1. assign V267119 = V006585 - 1. assign V006585 = V809136. assign V726353 = V479036. assign V674460 = V042077 - 1. assign V223466 = 4. assign V561736 = V283154 - 1. assign V317865 = V084416 + 1. assign V792350 = V432175 + 1. assign V460697 = V991727 + 1. assign V551024 = V200100. assign V200100 = V057982. assign V055053 = V223466 + 1. assign V179090 = V407797 - 1. assign V417087 = V084416 - 1. assign V476961 = V770179 - 1. assign V395452 = V975971 + 1. assign V809136 = V871638. assign V818104 = V756994. assign V635458 = V350326 + 1. assign V827022 = V871638 + 1. assign V115145 = V685611 + 1. assign V940916 = V243543 - 1. assign V402895 = V350326. assign V400881 = V113435 - 1. assign V921826 = V806749. assign V877787 = V974838 + 1. assign V053369 = V827022. assign V952467 = V299391 - 1. assign V185692 = V115145 + 1. assign V460207 = V366170 + 1. assign V535156 = V153833 + 1. assign V930620 = V014666. assign V405908 = V410434 + 1. assign V497704 = V952467. assign V259644 = V113435 + 1. assign V780124 = V299391. assign V513366 = V974838 - 1. assign V524626 = V115145. assign V040094 = V892720 - 1. assign V826528 = V400881 - 1. assign V366170 = V422064 + 1. assign V918473 = V674460 + 1. assign V424824 = V057982 + 1. assign V626091 = V693440. assign V708566 = V422064 - 1. assign V409454 = V892720 - 1. assign V840047 = V185692 - 1. assign V350326 = V424824. assign V941733 = V146571 + 1. assign V586169 = V833228 + 1. assign V615869 = V921826 + 1. assign V786781 = V402895 + 1. assign V770179 = V366170 + 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):\nV223466 = 4;\n\nFrom these direct assignment(s), we have: \nV055053 = V223466 + 1 = 4 + 1 =5;\nNo other variables can be derived from V055053;\nNo other variables can be derived from V223466;\n\nNow we have done all the calculations. Derived variables are:\nV223466 = 4;\nV055053 = 5;\n\nNow we have finished this problem. ANSWER:\nV055053\n", "role": "assistant" } ]

[ "V061395" ]

[ { "content": "<context>\nassign V527391 = V698664. assign V648797 = V245856. assign V683418 = V992128 - 1. assign V730836 = V799811 - 1. assign V236186 = V588352 + 1. assign V080374 = V239678 - 1. assign V944663 = V021675 + 1. assign V560360 = V197909. assign V732017 = V822389 - 1. assign V578911 = V648797 - 1. assign V325353 = V872974 - 1. assign V012238 = V083197. assign V964735 = V348151 + 1. assign V855942 = V068131 - 1. assign V395882 = V348151 - 1. assign V322655 = V273614 - 1. assign V666611 = V799811. assign V239678 = V051221. assign V698664 = V655929 + 1. assign V964130 = V681277 + 1. assign V416860 = V180717 - 1. assign V912698 = V884724 - 1. assign V297250 = V588352 - 1. assign V874785 = V545864 + 1. assign V681277 = V791690. assign V034339 = V277968 + 1. assign V333089 = V010772. assign V225484 = V649859 + 1. assign V677741 = V964130 + 1. assign V494534 = V964130 + 1. assign V566307 = V093151. assign V838932 = V470176 - 1. assign V473614 = V163470. assign V824352 = V294528. assign V032923 = V034339 - 1. assign V294398 = V470176 - 1. assign V590069 = V197909 + 1. assign V405375 = V051221 - 1. assign V880821 = V197909. assign V822389 = V239678 - 1. assign V034286 = V320487 + 1. assign V197909 = V273614 + 1. assign V470176 = V391179. assign V687744 = V649859. assign V021675 = V649859. assign V737488 = V332575. assign V319960 = V068131 + 1. assign V180717 = V043403 + 1. assign V892850 = V391179. assign V536577 = V799811 + 1. assign V631416 = V521357 - 1. assign V851667 = V391179 + 1. assign V363580 = V416547. assign V299762 = V666611 - 1. assign V163470 = V791690. assign V293018 = V363580 + 1. assign V760933 = V416547 - 1. assign V231256 = V884724. assign V971021 = V665068 - 1. assign V992128 = V799811 + 1. assign V051221 = V791690 + 1. assign V432653 = V043403. assign V703739 = V469415 + 1. assign V273614 = V294528. assign V005661 = V051221 + 1. assign V555353 = V673421 - 1. assign V871066 = V067594 + 1. assign V543621 = V052703. assign V195808 = V391179 + 1. assign V010772 = V760933. assign V090848 = V308171. assign V747104 = V239678 - 1. assign V909600 = V426870. assign V517534 = V302044 + 1. assign V277968 = V302044. assign V403201 = V416860. assign V673421 = V277968 + 1. assign V348151 = V416547 + 1. assign V469700 = V416547 + 1. assign V584822 = V273614 - 1. assign V649859 = V139469. assign V521357 = V195808 - 1. assign V426870 = V068131. assign V093151 = V848210 + 1. assign V427927 = V631416 - 1. assign V174928 = V469415 - 1. assign V884724 = V545864 - 1. assign V263136 = V703739 + 1. assign V795879 = V799811 + 1. assign V416547 = V545864. assign V993742 = V703739. assign V032161 = V404527 + 1. assign V848210 = V426870 + 1. assign V672852 = V536919. assign V043403 = V884724 - 1. assign V245856 = V391179 + 1. assign V686639 = V590069 - 1. assign V248468 = V555353 + 1. assign V103010 = V205880. assign V095041 = V277968. assign V624287 = V964130 + 1. assign V791690 = V139469 - 1. assign V057046 = V545864. assign V332575 = V139469. assign V283643 = V469700 + 1. assign V840786 = V007844. assign V261562 = V588352 - 1. assign V320487 = V432577 + 1. assign V262398 = V935078 - 1. assign V921254 = V677741 + 1. assign V404527 = V665068 - 1. assign V540557 = 5. assign V536919 = V760933 + 1. assign V007007 = V319960 + 1. assign V522900 = V567916. assign V066523 = V333089. assign V308171 = V043403. assign V998761 = V399780 - 1. assign V545864 = V139469 - 1. assign V986963 = V473614. assign V916936 = V195808 + 1. assign V799811 = V416547. assign V383581 = V277968 + 1. assign V449531 = V034286 - 1. assign V872974 = V791690. assign V805448 = V912698 - 1. assign V655929 = V426870 + 1. assign V432577 = V043403. assign V311904 = V067594. assign V007844 = V855942. assign V312391 = V302044. assign V567916 = V391179 - 1. assign V709622 = V964735 - 1. assign V665068 = V884724 - 1. assign V588352 = V649859 - 1. assign V205880 = V308171 - 1. assign V422940 = V239678 - 1. assign V897665 = V877347 + 1. assign V302044 = V545864 - 1. assign V083197 = V494534 - 1. assign V577638 = V912698. assign V935078 = V225484. assign V382623 = V021675. assign V019406 = V363580 + 1. assign V161591 = V624287. assign V090478 = V363580 + 1. assign V375579 = V332575. assign V983316 = V567916 - 1. assign V779926 = V416860 - 1. assign V061395 = V540557 + 1. assign V339908 = V021675 + 1. assign V466056 = V935078. assign V052703 = V416547. assign V067594 = V631416. assign V847949 = V239678. assign V399780 = V469415 - 1. assign V165255 = V880821 - 1. assign V479330 = V877347 - 1. assign V758018 = V197909 + 1. assign V231294 = V043403 - 1. assign V469415 = V536919. assign V834619 = V432653 + 1. assign V877347 = V935078 - 1. assign V958306 = V588352 - 1. assign V541440 = V325353. assign V390656 = V308171 - 1. assign V468416 = V631416. assign V294528 = V391179. assign V391179 = V139469 - 1. assign V408627 = V161591 + 1. assign V344591 = V470176 + 1. assign V068131 = V649859 + 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 V527391 = V698664. assign V648797 = V245856. assign V683418 = V992128 - 1. assign V730836 = V799811 - 1. assign V236186 = V588352 + 1. assign V080374 = V239678 - 1. assign V944663 = V021675 + 1. assign V560360 = V197909. assign V732017 = V822389 - 1. assign V578911 = V648797 - 1. assign V325353 = V872974 - 1. assign V012238 = V083197. assign V964735 = V348151 + 1. assign V855942 = V068131 - 1. assign V395882 = V348151 - 1. assign V322655 = V273614 - 1. assign V666611 = V799811. assign V239678 = V051221. assign V698664 = V655929 + 1. assign V964130 = V681277 + 1. assign V416860 = V180717 - 1. assign V912698 = V884724 - 1. assign V297250 = V588352 - 1. assign V874785 = V545864 + 1. assign V681277 = V791690. assign V034339 = V277968 + 1. assign V333089 = V010772. assign V225484 = V649859 + 1. assign V677741 = V964130 + 1. assign V494534 = V964130 + 1. assign V566307 = V093151. assign V838932 = V470176 - 1. assign V473614 = V163470. assign V824352 = V294528. assign V032923 = V034339 - 1. assign V294398 = V470176 - 1. assign V590069 = V197909 + 1. assign V405375 = V051221 - 1. assign V880821 = V197909. assign V822389 = V239678 - 1. assign V034286 = V320487 + 1. assign V197909 = V273614 + 1. assign V470176 = V391179. assign V687744 = V649859. assign V021675 = V649859. assign V737488 = V332575. assign V319960 = V068131 + 1. assign V180717 = V043403 + 1. assign V892850 = V391179. assign V536577 = V799811 + 1. assign V631416 = V521357 - 1. assign V851667 = V391179 + 1. assign V363580 = V416547. assign V299762 = V666611 - 1. assign V163470 = V791690. assign V293018 = V363580 + 1. assign V760933 = V416547 - 1. assign V231256 = V884724. assign V971021 = V665068 - 1. assign V992128 = V799811 + 1. assign V051221 = V791690 + 1. assign V432653 = V043403. assign V703739 = V469415 + 1. assign V273614 = V294528. assign V005661 = V051221 + 1. assign V555353 = V673421 - 1. assign V871066 = V067594 + 1. assign V543621 = V052703. assign V195808 = V391179 + 1. assign V010772 = V760933. assign V090848 = V308171. assign V747104 = V239678 - 1. assign V909600 = V426870. assign V517534 = V302044 + 1. assign V277968 = V302044. assign V403201 = V416860. assign V673421 = V277968 + 1. assign V348151 = V416547 + 1. assign V469700 = V416547 + 1. assign V584822 = V273614 - 1. assign V649859 = V139469. assign V521357 = V195808 - 1. assign V426870 = V068131. assign V093151 = V848210 + 1. assign V427927 = V631416 - 1. assign V174928 = V469415 - 1. assign V884724 = V545864 - 1. assign V263136 = V703739 + 1. assign V795879 = V799811 + 1. assign V416547 = V545864. assign V993742 = V703739. assign V032161 = V404527 + 1. assign V848210 = V426870 + 1. assign V672852 = V536919. assign V043403 = V884724 - 1. assign V245856 = V391179 + 1. assign V686639 = V590069 - 1. assign V248468 = V555353 + 1. assign V103010 = V205880. assign V095041 = V277968. assign V624287 = V964130 + 1. assign V791690 = V139469 - 1. assign V057046 = V545864. assign V332575 = V139469. assign V283643 = V469700 + 1. assign V840786 = V007844. assign V261562 = V588352 - 1. assign V320487 = V432577 + 1. assign V262398 = V935078 - 1. assign V921254 = V677741 + 1. assign V404527 = V665068 - 1. assign V540557 = 5. assign V536919 = V760933 + 1. assign V007007 = V319960 + 1. assign V522900 = V567916. assign V066523 = V333089. assign V308171 = V043403. assign V998761 = V399780 - 1. assign V545864 = V139469 - 1. assign V986963 = V473614. assign V916936 = V195808 + 1. assign V799811 = V416547. assign V383581 = V277968 + 1. assign V449531 = V034286 - 1. assign V872974 = V791690. assign V805448 = V912698 - 1. assign V655929 = V426870 + 1. assign V432577 = V043403. assign V311904 = V067594. assign V007844 = V855942. assign V312391 = V302044. assign V567916 = V391179 - 1. assign V709622 = V964735 - 1. assign V665068 = V884724 - 1. assign V588352 = V649859 - 1. assign V205880 = V308171 - 1. assign V422940 = V239678 - 1. assign V897665 = V877347 + 1. assign V302044 = V545864 - 1. assign V083197 = V494534 - 1. assign V577638 = V912698. assign V935078 = V225484. assign V382623 = V021675. assign V019406 = V363580 + 1. assign V161591 = V624287. assign V090478 = V363580 + 1. assign V375579 = V332575. assign V983316 = V567916 - 1. assign V779926 = V416860 - 1. assign V061395 = V540557 + 1. assign V339908 = V021675 + 1. assign V466056 = V935078. assign V052703 = V416547. assign V067594 = V631416. assign V847949 = V239678. assign V399780 = V469415 - 1. assign V165255 = V880821 - 1. assign V479330 = V877347 - 1. assign V758018 = V197909 + 1. assign V231294 = V043403 - 1. assign V469415 = V536919. assign V834619 = V432653 + 1. assign V877347 = V935078 - 1. assign V958306 = V588352 - 1. assign V541440 = V325353. assign V390656 = V308171 - 1. assign V468416 = V631416. assign V294528 = V391179. assign V391179 = V139469 - 1. assign V408627 = V161591 + 1. assign V344591 = V470176 + 1. assign V068131 = V649859 + 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):\nV540557 = 5;\n\nFrom these direct assignment(s), we have: \nV061395 = V540557 + 1 = 5 + 1 =6;\nNo other variables can be derived from V061395;\nNo other variables can be derived from V540557;\n\nNow we have done all the calculations. Derived variables are:\nV540557 = 5;\nV061395 = 6;\n\nNow we have finished this problem. ANSWER:\nV061395\n", "role": "assistant" } ]

[ "V299366", "V817460" ]

[ { "content": "<context>\nassign V325136 = V163925. assign V552022 = V620909 + 1. assign V137650 = V755312. assign V508217 = V301498 + 1. assign V727658 = V330037 + 1. assign V737500 = V426311 + 1. assign V669207 = V797876. assign V722916 = V026819. assign V215281 = V771217 - 1. assign V286252 = V947255. assign V479203 = V503783 + 1. assign V620890 = V430514. assign V408292 = V503783. assign V936096 = V974188 + 1. assign V317937 = V536524 - 1. assign V924567 = V771217 + 1. assign V503783 = V850261. assign V304900 = V835664. assign V537341 = V351980 + 1. assign V280220 = V169539 - 1. assign V016580 = V620719 - 1. assign V640478 = V218959 + 1. assign V852836 = V413423 + 1. assign V313108 = V974188. assign V562386 = V797876 + 1. assign V898508 = V755312 + 1. assign V574392 = V842207 + 1. assign V450380 = V516537 - 1. assign V269910 = V076312. assign V868927 = V313108 + 1. assign V625015 = V778403 - 1. assign V377266 = V282491 + 1. assign V907305 = V558457 - 1. assign V965172 = V898508 + 1. assign V282491 = V301498 + 1. assign V764794 = V386154 - 1. assign V928914 = V575501. assign V130546 = V333736 + 1. assign V457990 = V840191 + 1. assign V333736 = V476924. assign V362429 = V620909 - 1. assign V130750 = V727658 - 1. assign V688789 = V257388 + 1. assign V583105 = V028242 + 1. assign V546257 = V510053 + 1. assign V620909 = V426311. assign V653510 = V036213 - 1. assign V895420 = V036213 - 1. assign V322619 = V567973. assign V385103 = V399928 + 1. assign V947255 = V653510. assign V149272 = V301498 - 1. assign V629472 = V317937 - 1. assign V301498 = V330037 + 1. assign V842207 = V727492 + 1. assign V318760 = V386154 + 1. assign V771217 = V662560. assign V117244 = V301498 - 1. assign V201824 = V248666 + 1. assign V248666 = V403381. assign V299366 = 0. assign V798843 = V026819. assign V223123 = V476924 - 1. assign V028242 = V301498 + 1. assign V695986 = V243375 + 1. assign V575501 = V359361 - 1. assign V949805 = V169539. assign V652958 = V130750 - 1. assign V830997 = V755312 + 1. assign V302842 = V620909 + 1. assign V173299 = V034798. assign V644555 = V403381 - 1. assign V840422 = V620909 + 1. assign V312245 = V426311. assign V510053 = V755312 - 1. assign V257388 = V304900. assign V568017 = V392955 - 1. assign V066977 = V771217. assign V426311 = V301498 - 1. assign V804737 = V662560 + 1. assign V435942 = V620909. assign V026819 = V620890 - 1. assign V755312 = V330037. assign V076312 = V620719. assign V277703 = V081239. assign V309796 = V087213 + 1. assign V776633 = V529597 + 1. assign V477097 = V304900. assign V399928 = V026819 - 1. assign V858311 = V529597. assign V880164 = V778403. assign V986383 = V979295 + 1. assign V243375 = V117244 - 1. assign V667883 = V974188. assign V981465 = V840191. assign V809592 = V552022 - 1. assign V004928 = V385103 - 1. assign V413423 = V476924. assign V209393 = V644555 + 1. assign V516537 = V301498. assign V386154 = V755312. assign V476924 = V330037. assign V899776 = V087213 + 1. assign V202587 = V301498 - 1. assign V392955 = V842207 + 1. assign V708152 = V949805 + 1. assign V814041 = V330037. assign V303155 = V662560 - 1. assign V662560 = V778403 + 1. assign V893877 = V974188 - 1. assign V105009 = V928914 + 1. assign V529597 = V727492. assign V979295 = V243375 - 1. assign V430514 = V386154 - 1. assign V946137 = V330037. assign V087365 = V317937. assign V670478 = V362429. assign V245680 = V814041 + 1. assign V095753 = V503783 - 1. assign V095765 = V036213 - 1. assign V731617 = V620909 - 1. assign V817460 = V299366. assign V886495 = V087213 + 1. assign V691559 = V426311 - 1. assign V536524 = V087213. assign V081239 = V829044. assign V727492 = V476924. assign V558457 = V304900 + 1. assign V371121 = V620909 - 1. assign V230096 = V163925 - 1. assign V571271 = V117244 + 1. assign V620719 = V386154. assign V829044 = V325136 + 1. assign V850261 = V755312 + 1. assign V237815 = V510053. assign V351980 = V776633. assign V778403 = V842207. assign V251339 = V317937 - 1. assign V052598 = V620909 + 1. assign V442457 = V095765 + 1. assign V978358 = V385103. assign V670378 = V173172. assign V169539 = V359361 + 1. assign V840191 = V574392. assign V359361 = V510053 - 1. assign V835664 = V755312. assign V577747 = V243375 + 1. assign V117038 = V330037 + 1. assign V694522 = V322619. assign V567973 = V755312 + 1. assign V974188 = V529597. assign V173172 = V727492. assign V564458 = V081239. assign V210794 = V293627. assign V722551 = V309796. assign V034798 = V965172. assign V797876 = V755312. assign V403381 = V333736. assign V265030 = V835664. assign V352431 = V034798 - 1. assign V142560 = V386154 + 1. assign V036213 = V727492 + 1. assign V050147 = V620909 + 1. assign V218959 = V333736 - 1. assign V163925 = V026819. assign V820781 = V727658 + 1. assign V293627 = V574392. assign V376407 = V516537 - 1. assign V032705 = V248666. assign V087213 = V330037 - 1. assign V103713 = V727492 - 1. assign V472318 = V778403.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V325136 = V163925. assign V552022 = V620909 + 1. assign V137650 = V755312. assign V508217 = V301498 + 1. assign V727658 = V330037 + 1. assign V737500 = V426311 + 1. assign V669207 = V797876. assign V722916 = V026819. assign V215281 = V771217 - 1. assign V286252 = V947255. assign V479203 = V503783 + 1. assign V620890 = V430514. assign V408292 = V503783. assign V936096 = V974188 + 1. assign V317937 = V536524 - 1. assign V924567 = V771217 + 1. assign V503783 = V850261. assign V304900 = V835664. assign V537341 = V351980 + 1. assign V280220 = V169539 - 1. assign V016580 = V620719 - 1. assign V640478 = V218959 + 1. assign V852836 = V413423 + 1. assign V313108 = V974188. assign V562386 = V797876 + 1. assign V898508 = V755312 + 1. assign V574392 = V842207 + 1. assign V450380 = V516537 - 1. assign V269910 = V076312. assign V868927 = V313108 + 1. assign V625015 = V778403 - 1. assign V377266 = V282491 + 1. assign V907305 = V558457 - 1. assign V965172 = V898508 + 1. assign V282491 = V301498 + 1. assign V764794 = V386154 - 1. assign V928914 = V575501. assign V130546 = V333736 + 1. assign V457990 = V840191 + 1. assign V333736 = V476924. assign V362429 = V620909 - 1. assign V130750 = V727658 - 1. assign V688789 = V257388 + 1. assign V583105 = V028242 + 1. assign V546257 = V510053 + 1. assign V620909 = V426311. assign V653510 = V036213 - 1. assign V895420 = V036213 - 1. assign V322619 = V567973. assign V385103 = V399928 + 1. assign V947255 = V653510. assign V149272 = V301498 - 1. assign V629472 = V317937 - 1. assign V301498 = V330037 + 1. assign V842207 = V727492 + 1. assign V318760 = V386154 + 1. assign V771217 = V662560. assign V117244 = V301498 - 1. assign V201824 = V248666 + 1. assign V248666 = V403381. assign V299366 = 0. assign V798843 = V026819. assign V223123 = V476924 - 1. assign V028242 = V301498 + 1. assign V695986 = V243375 + 1. assign V575501 = V359361 - 1. assign V949805 = V169539. assign V652958 = V130750 - 1. assign V830997 = V755312 + 1. assign V302842 = V620909 + 1. assign V173299 = V034798. assign V644555 = V403381 - 1. assign V840422 = V620909 + 1. assign V312245 = V426311. assign V510053 = V755312 - 1. assign V257388 = V304900. assign V568017 = V392955 - 1. assign V066977 = V771217. assign V426311 = V301498 - 1. assign V804737 = V662560 + 1. assign V435942 = V620909. assign V026819 = V620890 - 1. assign V755312 = V330037. assign V076312 = V620719. assign V277703 = V081239. assign V309796 = V087213 + 1. assign V776633 = V529597 + 1. assign V477097 = V304900. assign V399928 = V026819 - 1. assign V858311 = V529597. assign V880164 = V778403. assign V986383 = V979295 + 1. assign V243375 = V117244 - 1. assign V667883 = V974188. assign V981465 = V840191. assign V809592 = V552022 - 1. assign V004928 = V385103 - 1. assign V413423 = V476924. assign V209393 = V644555 + 1. assign V516537 = V301498. assign V386154 = V755312. assign V476924 = V330037. assign V899776 = V087213 + 1. assign V202587 = V301498 - 1. assign V392955 = V842207 + 1. assign V708152 = V949805 + 1. assign V814041 = V330037. assign V303155 = V662560 - 1. assign V662560 = V778403 + 1. assign V893877 = V974188 - 1. assign V105009 = V928914 + 1. assign V529597 = V727492. assign V979295 = V243375 - 1. assign V430514 = V386154 - 1. assign V946137 = V330037. assign V087365 = V317937. assign V670478 = V362429. assign V245680 = V814041 + 1. assign V095753 = V503783 - 1. assign V095765 = V036213 - 1. assign V731617 = V620909 - 1. assign V817460 = V299366. assign V886495 = V087213 + 1. assign V691559 = V426311 - 1. assign V536524 = V087213. assign V081239 = V829044. assign V727492 = V476924. assign V558457 = V304900 + 1. assign V371121 = V620909 - 1. assign V230096 = V163925 - 1. assign V571271 = V117244 + 1. assign V620719 = V386154. assign V829044 = V325136 + 1. assign V850261 = V755312 + 1. assign V237815 = V510053. assign V351980 = V776633. assign V778403 = V842207. assign V251339 = V317937 - 1. assign V052598 = V620909 + 1. assign V442457 = V095765 + 1. assign V978358 = V385103. assign V670378 = V173172. assign V169539 = V359361 + 1. assign V840191 = V574392. assign V359361 = V510053 - 1. assign V835664 = V755312. assign V577747 = V243375 + 1. assign V117038 = V330037 + 1. assign V694522 = V322619. assign V567973 = V755312 + 1. assign V974188 = V529597. assign V173172 = V727492. assign V564458 = V081239. assign V210794 = V293627. assign V722551 = V309796. assign V034798 = V965172. assign V797876 = V755312. assign V403381 = V333736. assign V265030 = V835664. assign V352431 = V034798 - 1. assign V142560 = V386154 + 1. assign V036213 = V727492 + 1. assign V050147 = V620909 + 1. assign V218959 = V333736 - 1. assign V163925 = V026819. assign V820781 = V727658 + 1. assign V293627 = V574392. assign V376407 = V516537 - 1. assign V032705 = V248666. assign V087213 = V330037 - 1. assign V103713 = V727492 - 1. assign V472318 = V778403.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV299366 = 0;\n\nFrom these direct assignment(s), we have: \nV817460 = V299366 = 0;\nNo other variables can be derived from V817460;\nNo other variables can be derived from V299366;\n\nNow we have done all the calculations. Derived variables are:\nV299366 = 0;\nV817460 = 0;\n\nNow we have finished this problem. ANSWER:\nV299366, V817460\n", "role": "assistant" } ]

[ "V149612" ]

[ { "content": "<context>\nassign V619510 = V793325. assign V828774 = V213334 - 1. assign V774540 = V329591. assign V171245 = V591103. assign V086920 = V595898 - 1. assign V465450 = V234667. assign V176829 = V922506 - 1. assign V498720 = V086920 + 1. assign V884310 = V637654. assign V792346 = V213226 + 1. assign V528377 = V319054. assign V259123 = V811347. assign V637807 = V595898 - 1. assign V922506 = V053671 - 1. assign V748275 = V712034. assign V155898 = V972510. assign V324477 = V829574 + 1. assign V299239 = V054954. assign V880177 = V462681. assign V195784 = V349160 + 1. assign V409497 = V319054. assign V343175 = V752411 + 1. assign V564595 = V756135. assign V022745 = V934422 + 1. assign V462184 = V527563 + 1. assign V020217 = V995831 - 1. assign V560722 = V180534. assign V104413 = V484944 - 1. assign V995831 = V527563 - 1. assign V599913 = V841313 - 1. assign V829574 = V326913 + 1. assign V595898 = V972510 - 1. assign V214379 = V729600 - 1. assign V408999 = V022745 - 1. assign V326913 = V637807 + 1. assign V729600 = V841313 + 1. assign V826371 = V462184 - 1. assign V841313 = V637807 + 1. assign V752411 = V484944 - 1. assign V591103 = V826371 - 1. assign V079215 = V756135 + 1. assign V091365 = V918360 - 1. assign V691938 = V729600 - 1. assign V460925 = V349160 + 1. assign V041122 = V803505 + 1. assign V545702 = V289814 - 1. assign V470686 = V054954 - 1. assign V449460 = V803505. assign V712034 = V198669 - 1. assign V995192 = V934422. assign V123681 = V637807. assign V304664 = V326913 - 1. assign V781747 = V053671. assign V025608 = V829574 + 1. assign V407159 = V172137. assign V054954 = V462184 + 1. assign V747417 = V756135 + 1. assign V989212 = V126437 + 1. assign V773006 = V774540. assign V198669 = V462184. assign V326151 = V155898 - 1. assign V423124 = V934214 + 1. assign V935758 = V560722. assign V655595 = V259123 + 1. assign V507747 = V972510 - 1. assign V962493 = V124049. assign V304041 = V519014 + 1. assign V213226 = V564595 - 1. assign V381933 = V802104. assign V289814 = V234667 + 1. assign V349160 = V238134. assign V058129 = V748275. assign V659992 = V829574. assign V554091 = V841313 + 1. assign V904154 = V579041 - 1. assign V822494 = V811440 - 1. assign V057114 = V058129 - 1. assign V793325 = V637807. assign V081793 = V104413. assign V255141 = V532419. assign V073567 = V449460 + 1. assign V234667 = V918360 - 1. assign V583204 = V213334. assign V056453 = V103069. assign V391604 = V527563 + 1. assign V826588 = V213226 + 1. assign V149612 = 1. assign V803505 = V103069. assign V387367 = V934214 + 1. assign V811440 = V527563 - 1. assign V085877 = V691938 - 1. assign V254170 = V989212. assign V742924 = V811440 + 1. assign V079438 = V880705. assign V414247 = V826371 - 1. assign V669797 = V752411. assign V286550 = V531640 - 1. assign V922976 = V103069. assign V252270 = V554091 + 1. assign V126437 = V822494 - 1. assign V857668 = V579041 - 1. assign V860975 = V527563. assign V391737 = V841313 + 1. assign V213334 = V527563 - 1. assign V934214 = V554091. assign V298952 = V454994 - 1. assign V531640 = V802104 + 1. assign V329591 = V972510. assign V640909 = V449460. assign V579552 = V158473. assign V135053 = V527563 + 1. assign V462681 = V252270 + 1. assign V238134 = V822494. assign V454994 = V238134 + 1. assign V264294 = V962493 + 1. assign V172137 = V180534. assign V484944 = V742924 - 1. assign V071352 = V391604 - 1. assign V208406 = V659992 - 1. assign V637654 = V752411 + 1. assign V246277 = V857668 + 1. assign V519014 = V326913 - 1. assign V608677 = V326913 - 1. assign V860868 = V454994 - 1. assign V598486 = V180534 + 1. assign V023163 = V598486 - 1. assign V527563 = V595898 + 1. assign V393720 = V554091 - 1. assign V986844 = V408999 + 1. assign V075087 = V640909. assign V053671 = V748275 + 1. assign V260564 = V591103 + 1. assign V319054 = V180534 - 1. assign V741882 = V918360 - 1. assign V614831 = V149612 - 1. assign V303401 = V391604. assign V180534 = V860975 + 1. assign V693162 = V238134 + 1. assign V935458 = V742924 + 1. assign V103069 = V811440. assign V065009 = V058129 + 1. assign V880705 = V986844 + 1. assign V321931 = V803505. assign V654433 = V793325. assign V671879 = V837551 - 1. assign V997311 = V756135. assign V262767 = V054954 + 1. assign V880893 = V532419 + 1. assign V750694 = V329591 + 1. assign V774676 = V747417 + 1. assign V773391 = V259123 + 1. assign V827283 = V564595 + 1. assign V346168 = V103069. assign V918360 = V822494 + 1. assign V690660 = V460925 + 1. assign V555431 = V086920 - 1. assign V650027 = V408999 + 1. assign V023367 = V065009. assign V934422 = V752411. assign V802104 = V484944 + 1. assign V915006 = V195784 - 1. assign V158473 = V693162 + 1. assign V181657 = V750694 + 1. assign V837551 = V841313. assign V811347 = V619510 - 1. assign V756135 = V742924 - 1. assign V579041 = V234667. assign V806554 = V103069. assign V915823 = V693162 + 1. assign V124049 = V826371 + 1. assign V532419 = V234667 - 1. assign V901126 = V407159 - 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 V619510 = V793325. assign V828774 = V213334 - 1. assign V774540 = V329591. assign V171245 = V591103. assign V086920 = V595898 - 1. assign V465450 = V234667. assign V176829 = V922506 - 1. assign V498720 = V086920 + 1. assign V884310 = V637654. assign V792346 = V213226 + 1. assign V528377 = V319054. assign V259123 = V811347. assign V637807 = V595898 - 1. assign V922506 = V053671 - 1. assign V748275 = V712034. assign V155898 = V972510. assign V324477 = V829574 + 1. assign V299239 = V054954. assign V880177 = V462681. assign V195784 = V349160 + 1. assign V409497 = V319054. assign V343175 = V752411 + 1. assign V564595 = V756135. assign V022745 = V934422 + 1. assign V462184 = V527563 + 1. assign V020217 = V995831 - 1. assign V560722 = V180534. assign V104413 = V484944 - 1. assign V995831 = V527563 - 1. assign V599913 = V841313 - 1. assign V829574 = V326913 + 1. assign V595898 = V972510 - 1. assign V214379 = V729600 - 1. assign V408999 = V022745 - 1. assign V326913 = V637807 + 1. assign V729600 = V841313 + 1. assign V826371 = V462184 - 1. assign V841313 = V637807 + 1. assign V752411 = V484944 - 1. assign V591103 = V826371 - 1. assign V079215 = V756135 + 1. assign V091365 = V918360 - 1. assign V691938 = V729600 - 1. assign V460925 = V349160 + 1. assign V041122 = V803505 + 1. assign V545702 = V289814 - 1. assign V470686 = V054954 - 1. assign V449460 = V803505. assign V712034 = V198669 - 1. assign V995192 = V934422. assign V123681 = V637807. assign V304664 = V326913 - 1. assign V781747 = V053671. assign V025608 = V829574 + 1. assign V407159 = V172137. assign V054954 = V462184 + 1. assign V747417 = V756135 + 1. assign V989212 = V126437 + 1. assign V773006 = V774540. assign V198669 = V462184. assign V326151 = V155898 - 1. assign V423124 = V934214 + 1. assign V935758 = V560722. assign V655595 = V259123 + 1. assign V507747 = V972510 - 1. assign V962493 = V124049. assign V304041 = V519014 + 1. assign V213226 = V564595 - 1. assign V381933 = V802104. assign V289814 = V234667 + 1. assign V349160 = V238134. assign V058129 = V748275. assign V659992 = V829574. assign V554091 = V841313 + 1. assign V904154 = V579041 - 1. assign V822494 = V811440 - 1. assign V057114 = V058129 - 1. assign V793325 = V637807. assign V081793 = V104413. assign V255141 = V532419. assign V073567 = V449460 + 1. assign V234667 = V918360 - 1. assign V583204 = V213334. assign V056453 = V103069. assign V391604 = V527563 + 1. assign V826588 = V213226 + 1. assign V149612 = 1. assign V803505 = V103069. assign V387367 = V934214 + 1. assign V811440 = V527563 - 1. assign V085877 = V691938 - 1. assign V254170 = V989212. assign V742924 = V811440 + 1. assign V079438 = V880705. assign V414247 = V826371 - 1. assign V669797 = V752411. assign V286550 = V531640 - 1. assign V922976 = V103069. assign V252270 = V554091 + 1. assign V126437 = V822494 - 1. assign V857668 = V579041 - 1. assign V860975 = V527563. assign V391737 = V841313 + 1. assign V213334 = V527563 - 1. assign V934214 = V554091. assign V298952 = V454994 - 1. assign V531640 = V802104 + 1. assign V329591 = V972510. assign V640909 = V449460. assign V579552 = V158473. assign V135053 = V527563 + 1. assign V462681 = V252270 + 1. assign V238134 = V822494. assign V454994 = V238134 + 1. assign V264294 = V962493 + 1. assign V172137 = V180534. assign V484944 = V742924 - 1. assign V071352 = V391604 - 1. assign V208406 = V659992 - 1. assign V637654 = V752411 + 1. assign V246277 = V857668 + 1. assign V519014 = V326913 - 1. assign V608677 = V326913 - 1. assign V860868 = V454994 - 1. assign V598486 = V180534 + 1. assign V023163 = V598486 - 1. assign V527563 = V595898 + 1. assign V393720 = V554091 - 1. assign V986844 = V408999 + 1. assign V075087 = V640909. assign V053671 = V748275 + 1. assign V260564 = V591103 + 1. assign V319054 = V180534 - 1. assign V741882 = V918360 - 1. assign V614831 = V149612 - 1. assign V303401 = V391604. assign V180534 = V860975 + 1. assign V693162 = V238134 + 1. assign V935458 = V742924 + 1. assign V103069 = V811440. assign V065009 = V058129 + 1. assign V880705 = V986844 + 1. assign V321931 = V803505. assign V654433 = V793325. assign V671879 = V837551 - 1. assign V997311 = V756135. assign V262767 = V054954 + 1. assign V880893 = V532419 + 1. assign V750694 = V329591 + 1. assign V774676 = V747417 + 1. assign V773391 = V259123 + 1. assign V827283 = V564595 + 1. assign V346168 = V103069. assign V918360 = V822494 + 1. assign V690660 = V460925 + 1. assign V555431 = V086920 - 1. assign V650027 = V408999 + 1. assign V023367 = V065009. assign V934422 = V752411. assign V802104 = V484944 + 1. assign V915006 = V195784 - 1. assign V158473 = V693162 + 1. assign V181657 = V750694 + 1. assign V837551 = V841313. assign V811347 = V619510 - 1. assign V756135 = V742924 - 1. assign V579041 = V234667. assign V806554 = V103069. assign V915823 = V693162 + 1. assign V124049 = V826371 + 1. assign V532419 = V234667 - 1. assign V901126 = V407159 - 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):\nV149612 = 1;\n\nFrom these direct assignment(s), we have: \nV614831 = V149612 - 1 = 1 - 1 =0;\nNo other variables can be derived from V614831;\nNo other variables can be derived from V149612;\n\nNow we have done all the calculations. Derived variables are:\nV149612 = 1;\nV614831 = 0;\n\nNow we have finished this problem. ANSWER:\nV149612\n", "role": "assistant" } ]

[ "V917018" ]

[ { "content": "<context>\nassign V416885 = V237991 - 1. assign V663423 = V869230 - 1. assign V576597 = V029217 - 1. assign V411391 = V209084 - 1. assign V237858 = V649685. assign V853734 = V846905 + 1. assign V047061 = V943634 + 1. assign V989813 = V340477 + 1. assign V100915 = V017079 - 1. assign V943634 = V315280 + 1. assign V694989 = V381383 - 1. assign V725230 = V047061. assign V946780 = V368215. assign V374257 = V446987. assign V340477 = V869230 + 1. assign V133999 = V025883 - 1. assign V968131 = V799529 + 1. assign V542026 = V047061. assign V912391 = V315258 + 1. assign V581167 = V799529 + 1. assign V995890 = V315280 + 1. assign V624770 = V891262 - 1. assign V750907 = V593943 + 1. assign V711886 = V995890. assign V242080 = V422231 + 1. assign V988755 = V025883. assign V244169 = V502246 - 1. assign V368617 = V315258. assign V033294 = V025883 + 1. assign V910172 = V725230 + 1. assign V585162 = V209084. assign V322308 = V035740 - 1. assign V345750 = V422231 + 1. assign V332264 = V415065 + 1. assign V397586 = V988755 + 1. assign V789397 = V345750 + 1. assign V766776 = V133999 - 1. assign V991895 = V445879 + 1. assign V006365 = V237858. assign V683043 = V790142 + 1. assign V446987 = V233444 + 1. assign V986546 = V654674 + 1. assign V025883 = V910172. assign V578622 = V368215 + 1. assign V601599 = V473403. assign V927088 = V315280 - 1. assign V863389 = V159108 - 1. assign V872918 = V927088. assign V317224 = V863389 + 1. assign V750231 = V047061 + 1. assign V176596 = V403898. assign V436945 = V878081 - 1. assign V754999 = V000478 + 1. assign V987899 = V317224 + 1. assign V384312 = V579193. assign V692043 = V002071 - 1. assign V475816 = V325549 - 1. assign V546986 = V035740 + 1. assign V997015 = V720388. assign V411845 = V025883. assign V566103 = V601599 + 1. assign V851997 = V325549 - 1. assign V917018 = 7. assign V159108 = V878081. assign V303486 = V799529. assign V344120 = V799529 + 1. assign V593943 = V872918. assign V155017 = V000478 - 1. assign V541940 = V071938. assign V869230 = V943634. assign V422920 = V071938. assign V352196 = V766776 + 1. assign V497390 = V790142. assign V233444 = V851997 - 1. assign V415065 = V035740 + 1. assign V394725 = V381383 + 1. assign V502246 = V325549 + 1. assign V720388 = V810281 + 1. assign V029217 = V995890 + 1. assign V035740 = V325549 + 1. assign V443743 = V035740 + 1. assign V883518 = V502246 + 1. assign V900105 = V991895 + 1. assign V305620 = V047061 - 1. assign V835777 = V035740. assign V898411 = V322308. assign V403898 = V502246 + 1. assign V840186 = V968131 + 1. assign V473799 = V368617 - 1. assign V508291 = V237991 + 1. assign V999153 = V035740. assign V583964 = V033294 + 1. assign V422231 = V415065 - 1. assign V969198 = V790142 - 1. assign V809714 = V047061 + 1. assign V346958 = V799529. assign V924179 = V943634. assign V287987 = V325549 + 1. assign V667931 = V872918. assign V327570 = V134104 + 1. assign V473403 = V619597 + 1. assign V017079 = V790142 - 1. assign V433958 = V560748 + 1. assign V799529 = V035740 + 1. assign V645452 = V325549. assign V887501 = V910172 - 1. assign V368215 = V475816 + 1. assign V515948 = V560748 - 1. assign V659947 = V917018 - 1. assign V315258 = V943634. assign V438779 = V857367. assign V219765 = V025883 + 1. assign V619597 = V244169 - 1. assign V465660 = V332264. assign V830220 = V507605. assign V507605 = V397586 - 1. assign V465561 = V725230 - 1. assign V621288 = V851997 - 1. assign V325549 = V315280. assign V025975 = V969198 + 1. assign V214416 = V473799 + 1. assign V134104 = V995890 - 1. assign V237991 = V352437 - 1. assign V607409 = V242080 + 1. assign V333184 = V869230 - 1. assign V445879 = V725230. assign V652769 = V585162 + 1. assign V857367 = V436945. assign V983663 = V649685. assign V071938 = V912391 - 1. assign V890062 = V987899. assign V388758 = V983663 - 1. assign V270034 = V422231 + 1. assign V887510 = V397586. assign V352437 = V927088. assign V002502 = V133999. assign V975074 = V624770 + 1. assign V864075 = V857367 + 1. assign V381383 = V035740 + 1. assign V591792 = V910172 + 1. assign V002071 = V305620. assign V667594 = V422231 - 1. assign V000478 = V799529. assign V775245 = V583964 + 1. assign V261288 = V887501 - 1. assign V153353 = V352437 + 1. assign V350132 = V368215. assign V486907 = V000478 - 1. assign V878081 = V368617. assign V272524 = V725230. assign V637074 = V025883. assign V875569 = V943634. assign V493639 = V667931. assign V790142 = V035740. assign V209084 = V381383. assign V785549 = V799529 - 1. assign V891262 = V571151. assign V846905 = V663423. assign V560748 = V943634 + 1. assign V745482 = V995890. assign V175508 = V995890 + 1. assign V571151 = V035740 + 1. assign V367437 = V175508 + 1. assign V707233 = V340477 + 1. assign V654674 = V325549 - 1. assign V579193 = V571151. assign V649685 = V593943. assign V994317 = V619597. assign V232252 = V244169 + 1. assign V810281 = V035740 + 1. assign V853557 = V983663 - 1. assign V441310 = V583964 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V416885 = V237991 - 1. assign V663423 = V869230 - 1. assign V576597 = V029217 - 1. assign V411391 = V209084 - 1. assign V237858 = V649685. assign V853734 = V846905 + 1. assign V047061 = V943634 + 1. assign V989813 = V340477 + 1. assign V100915 = V017079 - 1. assign V943634 = V315280 + 1. assign V694989 = V381383 - 1. assign V725230 = V047061. assign V946780 = V368215. assign V374257 = V446987. assign V340477 = V869230 + 1. assign V133999 = V025883 - 1. assign V968131 = V799529 + 1. assign V542026 = V047061. assign V912391 = V315258 + 1. assign V581167 = V799529 + 1. assign V995890 = V315280 + 1. assign V624770 = V891262 - 1. assign V750907 = V593943 + 1. assign V711886 = V995890. assign V242080 = V422231 + 1. assign V988755 = V025883. assign V244169 = V502246 - 1. assign V368617 = V315258. assign V033294 = V025883 + 1. assign V910172 = V725230 + 1. assign V585162 = V209084. assign V322308 = V035740 - 1. assign V345750 = V422231 + 1. assign V332264 = V415065 + 1. assign V397586 = V988755 + 1. assign V789397 = V345750 + 1. assign V766776 = V133999 - 1. assign V991895 = V445879 + 1. assign V006365 = V237858. assign V683043 = V790142 + 1. assign V446987 = V233444 + 1. assign V986546 = V654674 + 1. assign V025883 = V910172. assign V578622 = V368215 + 1. assign V601599 = V473403. assign V927088 = V315280 - 1. assign V863389 = V159108 - 1. assign V872918 = V927088. assign V317224 = V863389 + 1. assign V750231 = V047061 + 1. assign V176596 = V403898. assign V436945 = V878081 - 1. assign V754999 = V000478 + 1. assign V987899 = V317224 + 1. assign V384312 = V579193. assign V692043 = V002071 - 1. assign V475816 = V325549 - 1. assign V546986 = V035740 + 1. assign V997015 = V720388. assign V411845 = V025883. assign V566103 = V601599 + 1. assign V851997 = V325549 - 1. assign V917018 = 7. assign V159108 = V878081. assign V303486 = V799529. assign V344120 = V799529 + 1. assign V593943 = V872918. assign V155017 = V000478 - 1. assign V541940 = V071938. assign V869230 = V943634. assign V422920 = V071938. assign V352196 = V766776 + 1. assign V497390 = V790142. assign V233444 = V851997 - 1. assign V415065 = V035740 + 1. assign V394725 = V381383 + 1. assign V502246 = V325549 + 1. assign V720388 = V810281 + 1. assign V029217 = V995890 + 1. assign V035740 = V325549 + 1. assign V443743 = V035740 + 1. assign V883518 = V502246 + 1. assign V900105 = V991895 + 1. assign V305620 = V047061 - 1. assign V835777 = V035740. assign V898411 = V322308. assign V403898 = V502246 + 1. assign V840186 = V968131 + 1. assign V473799 = V368617 - 1. assign V508291 = V237991 + 1. assign V999153 = V035740. assign V583964 = V033294 + 1. assign V422231 = V415065 - 1. assign V969198 = V790142 - 1. assign V809714 = V047061 + 1. assign V346958 = V799529. assign V924179 = V943634. assign V287987 = V325549 + 1. assign V667931 = V872918. assign V327570 = V134104 + 1. assign V473403 = V619597 + 1. assign V017079 = V790142 - 1. assign V433958 = V560748 + 1. assign V799529 = V035740 + 1. assign V645452 = V325549. assign V887501 = V910172 - 1. assign V368215 = V475816 + 1. assign V515948 = V560748 - 1. assign V659947 = V917018 - 1. assign V315258 = V943634. assign V438779 = V857367. assign V219765 = V025883 + 1. assign V619597 = V244169 - 1. assign V465660 = V332264. assign V830220 = V507605. assign V507605 = V397586 - 1. assign V465561 = V725230 - 1. assign V621288 = V851997 - 1. assign V325549 = V315280. assign V025975 = V969198 + 1. assign V214416 = V473799 + 1. assign V134104 = V995890 - 1. assign V237991 = V352437 - 1. assign V607409 = V242080 + 1. assign V333184 = V869230 - 1. assign V445879 = V725230. assign V652769 = V585162 + 1. assign V857367 = V436945. assign V983663 = V649685. assign V071938 = V912391 - 1. assign V890062 = V987899. assign V388758 = V983663 - 1. assign V270034 = V422231 + 1. assign V887510 = V397586. assign V352437 = V927088. assign V002502 = V133999. assign V975074 = V624770 + 1. assign V864075 = V857367 + 1. assign V381383 = V035740 + 1. assign V591792 = V910172 + 1. assign V002071 = V305620. assign V667594 = V422231 - 1. assign V000478 = V799529. assign V775245 = V583964 + 1. assign V261288 = V887501 - 1. assign V153353 = V352437 + 1. assign V350132 = V368215. assign V486907 = V000478 - 1. assign V878081 = V368617. assign V272524 = V725230. assign V637074 = V025883. assign V875569 = V943634. assign V493639 = V667931. assign V790142 = V035740. assign V209084 = V381383. assign V785549 = V799529 - 1. assign V891262 = V571151. assign V846905 = V663423. assign V560748 = V943634 + 1. assign V745482 = V995890. assign V175508 = V995890 + 1. assign V571151 = V035740 + 1. assign V367437 = V175508 + 1. assign V707233 = V340477 + 1. assign V654674 = V325549 - 1. assign V579193 = V571151. assign V649685 = V593943. assign V994317 = V619597. assign V232252 = V244169 + 1. assign V810281 = V035740 + 1. assign V853557 = V983663 - 1. assign V441310 = V583964 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV917018 = 7;\n\nFrom these direct assignment(s), we have: \nV659947 = V917018 - 1 = 7 - 1 =6;\nNo other variables can be derived from V659947;\nNo other variables can be derived from V917018;\n\nNow we have done all the calculations. Derived variables are:\nV917018 = 7;\nV659947 = 6;\n\nNow we have finished this problem. ANSWER:\nV917018\n", "role": "assistant" } ]

[ "V274410" ]

[ { "content": "<context>\nassign V451674 = V148774 + 1. assign V876493 = V128543 + 1. assign V679730 = V025057. assign V739296 = V519226 + 1. assign V989081 = V573566 + 1. assign V939631 = V025057 - 1. assign V961480 = V134212 + 1. assign V588318 = V089074 + 1. assign V962672 = V408693. assign V255103 = V487584. assign V370135 = V280077 + 1. assign V268582 = V255103 - 1. assign V635920 = V627320 - 1. assign V573936 = V496081 + 1. assign V152002 = V267700 + 1. assign V275283 = V990143. assign V571852 = V970429. assign V391263 = V679730 + 1. assign V085341 = V268582 + 1. assign V585207 = V969083 + 1. assign V270458 = V613982. assign V053902 = V593750 + 1. assign V469784 = V489925 + 1. assign V332783 = V496081 - 1. assign V006889 = V538243. assign V090805 = V376686 + 1. assign V333916 = V563609. assign V421617 = V268582. assign V148774 = V158919. assign V230592 = V603622. assign V365960 = V679730 + 1. assign V480923 = V128543 + 1. assign V593750 = V025057 - 1. assign V726342 = V105370. assign V978201 = V384880 - 1. assign V157829 = V496081 + 1. assign V224853 = V600508 + 1. assign V885799 = V312873. assign V645184 = V538243. assign V862951 = V261226. assign V110272 = V180502. assign V208247 = V223292. assign V202312 = V704960. assign V977101 = V628592. assign V570623 = V384880 + 1. assign V671917 = V089074. assign V985380 = V090805 + 1. assign V505125 = V176792 + 1. assign V690666 = V408693 - 1. assign V024648 = V657271 - 1. assign V218359 = V365960 + 1. assign V221076 = V261226 + 1. assign V659184 = V454798 + 1. assign V647520 = V180502 + 1. assign V359268 = V659184 - 1. assign V593386 = V252160 - 1. assign V986776 = V152002 + 1. assign V407937 = V384880 - 1. assign V830302 = V634936 - 1. assign V134212 = V157829. assign V741194 = V571852. assign V421163 = V074745 + 1. assign V091498 = V027983 - 1. assign V267700 = V067300. assign V784205 = V939631. assign V423471 = V255103 - 1. assign V280077 = V025057 + 1. assign V041426 = V592893. assign V097057 = V603622. assign V183927 = V180502 - 1. assign V594560 = V252160 + 1. assign V345237 = V218143 - 1. assign V541107 = V487584 + 1. assign V538243 = V969083 + 1. assign V628592 = V505125 - 1. assign V603622 = V157829 - 1. assign V261226 = V117786 - 1. assign V992622 = V067300. assign V659905 = V962672 + 1. assign V357931 = V541107 - 1. assign V316698 = V421163. assign V569897 = V628592. assign V592893 = V945108 - 1. assign V130153 = V027983 + 1. assign V158919 = V596425 - 1. assign V496081 = V255103 + 1. assign V609936 = V391263 - 1. assign V596425 = V423471. assign V601310 = V422769. assign V074745 = V862951 - 1. assign V089074 = V609936. assign V578214 = V594560. assign V274410 = 9. assign V360682 = V221076. assign V792121 = V274410 - 1. assign V772923 = V408693 + 1. assign V218143 = V180502 + 1. assign V777671 = V586729 + 1. assign V840167 = V911735 + 1. assign V959393 = V015241 - 1. assign V384880 = V425989. assign V454798 = V255103 + 1. assign V822020 = V422769. assign V342978 = V032608 + 1. assign V408693 = V596425. assign V798534 = V082580 - 1. assign V094152 = V505125 - 1. assign V634936 = V024648. assign V376686 = V423471. assign V752641 = V425989. assign V793337 = V443571 + 1. assign V252160 = V261226 - 1. assign V067300 = V600508 - 1. assign V082580 = V969083 + 1. assign V631967 = V876493 + 1. assign V471812 = V613982 + 1. assign V563609 = V218143 + 1. assign V117501 = V376686 + 1. assign V004269 = V117786 + 1. assign V627320 = V342978 + 1. assign V501028 = V024648 + 1. assign V443571 = V911735. assign V970429 = V158919 - 1. assign V015241 = V094152. assign V613982 = V157829 + 1. assign V312873 = V613982 + 1. assign V894640 = V365960 - 1. assign V875824 = V569897 - 1. assign V657271 = V487584. assign V610802 = V573566. assign V489925 = V593750 + 1. assign V180502 = V090805 - 1. assign V141461 = V634936. assign V456682 = V627320 - 1. assign V128543 = V862951 + 1. assign V558175 = V961480. assign V488398 = V657271. assign V990143 = V600508 + 1. assign V308010 = V471812 + 1. assign V586729 = V487584 + 1. assign V573566 = V613982 - 1. assign V666333 = V992622 - 1. assign V595704 = V519226 - 1. assign V422769 = V603622. assign V339287 = V657271 + 1. assign V911735 = V176792. assign V117786 = V628592 - 1. assign V914929 = V342978 + 1. assign V600508 = V454798 + 1. assign V223292 = V487584. assign V831981 = V255103. assign V811387 = V666333. assign V077470 = V969083. assign V792363 = V158919 + 1. assign V027983 = V268582 - 1. assign V425989 = V541107 - 1. assign V945108 = V015241 - 1. assign V969083 = V157829 - 1. assign V575982 = V659184. assign V499805 = V541107 + 1. assign V947278 = V261226 - 1. assign V774853 = V221076 + 1. assign V345913 = V027983 + 1. assign V326930 = V487584. assign V519226 = V911735 - 1. assign V105370 = V157829 - 1. assign V032608 = V496081 + 1. assign V919634 = V255103 - 1. assign V025057 = V454798 + 1. assign V994121 = V218143 + 1. assign V176792 = V423471 + 1. assign V704960 = V487584 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V451674 = V148774 + 1. assign V876493 = V128543 + 1. assign V679730 = V025057. assign V739296 = V519226 + 1. assign V989081 = V573566 + 1. assign V939631 = V025057 - 1. assign V961480 = V134212 + 1. assign V588318 = V089074 + 1. assign V962672 = V408693. assign V255103 = V487584. assign V370135 = V280077 + 1. assign V268582 = V255103 - 1. assign V635920 = V627320 - 1. assign V573936 = V496081 + 1. assign V152002 = V267700 + 1. assign V275283 = V990143. assign V571852 = V970429. assign V391263 = V679730 + 1. assign V085341 = V268582 + 1. assign V585207 = V969083 + 1. assign V270458 = V613982. assign V053902 = V593750 + 1. assign V469784 = V489925 + 1. assign V332783 = V496081 - 1. assign V006889 = V538243. assign V090805 = V376686 + 1. assign V333916 = V563609. assign V421617 = V268582. assign V148774 = V158919. assign V230592 = V603622. assign V365960 = V679730 + 1. assign V480923 = V128543 + 1. assign V593750 = V025057 - 1. assign V726342 = V105370. assign V978201 = V384880 - 1. assign V157829 = V496081 + 1. assign V224853 = V600508 + 1. assign V885799 = V312873. assign V645184 = V538243. assign V862951 = V261226. assign V110272 = V180502. assign V208247 = V223292. assign V202312 = V704960. assign V977101 = V628592. assign V570623 = V384880 + 1. assign V671917 = V089074. assign V985380 = V090805 + 1. assign V505125 = V176792 + 1. assign V690666 = V408693 - 1. assign V024648 = V657271 - 1. assign V218359 = V365960 + 1. assign V221076 = V261226 + 1. assign V659184 = V454798 + 1. assign V647520 = V180502 + 1. assign V359268 = V659184 - 1. assign V593386 = V252160 - 1. assign V986776 = V152002 + 1. assign V407937 = V384880 - 1. assign V830302 = V634936 - 1. assign V134212 = V157829. assign V741194 = V571852. assign V421163 = V074745 + 1. assign V091498 = V027983 - 1. assign V267700 = V067300. assign V784205 = V939631. assign V423471 = V255103 - 1. assign V280077 = V025057 + 1. assign V041426 = V592893. assign V097057 = V603622. assign V183927 = V180502 - 1. assign V594560 = V252160 + 1. assign V345237 = V218143 - 1. assign V541107 = V487584 + 1. assign V538243 = V969083 + 1. assign V628592 = V505125 - 1. assign V603622 = V157829 - 1. assign V261226 = V117786 - 1. assign V992622 = V067300. assign V659905 = V962672 + 1. assign V357931 = V541107 - 1. assign V316698 = V421163. assign V569897 = V628592. assign V592893 = V945108 - 1. assign V130153 = V027983 + 1. assign V158919 = V596425 - 1. assign V496081 = V255103 + 1. assign V609936 = V391263 - 1. assign V596425 = V423471. assign V601310 = V422769. assign V074745 = V862951 - 1. assign V089074 = V609936. assign V578214 = V594560. assign V274410 = 9. assign V360682 = V221076. assign V792121 = V274410 - 1. assign V772923 = V408693 + 1. assign V218143 = V180502 + 1. assign V777671 = V586729 + 1. assign V840167 = V911735 + 1. assign V959393 = V015241 - 1. assign V384880 = V425989. assign V454798 = V255103 + 1. assign V822020 = V422769. assign V342978 = V032608 + 1. assign V408693 = V596425. assign V798534 = V082580 - 1. assign V094152 = V505125 - 1. assign V634936 = V024648. assign V376686 = V423471. assign V752641 = V425989. assign V793337 = V443571 + 1. assign V252160 = V261226 - 1. assign V067300 = V600508 - 1. assign V082580 = V969083 + 1. assign V631967 = V876493 + 1. assign V471812 = V613982 + 1. assign V563609 = V218143 + 1. assign V117501 = V376686 + 1. assign V004269 = V117786 + 1. assign V627320 = V342978 + 1. assign V501028 = V024648 + 1. assign V443571 = V911735. assign V970429 = V158919 - 1. assign V015241 = V094152. assign V613982 = V157829 + 1. assign V312873 = V613982 + 1. assign V894640 = V365960 - 1. assign V875824 = V569897 - 1. assign V657271 = V487584. assign V610802 = V573566. assign V489925 = V593750 + 1. assign V180502 = V090805 - 1. assign V141461 = V634936. assign V456682 = V627320 - 1. assign V128543 = V862951 + 1. assign V558175 = V961480. assign V488398 = V657271. assign V990143 = V600508 + 1. assign V308010 = V471812 + 1. assign V586729 = V487584 + 1. assign V573566 = V613982 - 1. assign V666333 = V992622 - 1. assign V595704 = V519226 - 1. assign V422769 = V603622. assign V339287 = V657271 + 1. assign V911735 = V176792. assign V117786 = V628592 - 1. assign V914929 = V342978 + 1. assign V600508 = V454798 + 1. assign V223292 = V487584. assign V831981 = V255103. assign V811387 = V666333. assign V077470 = V969083. assign V792363 = V158919 + 1. assign V027983 = V268582 - 1. assign V425989 = V541107 - 1. assign V945108 = V015241 - 1. assign V969083 = V157829 - 1. assign V575982 = V659184. assign V499805 = V541107 + 1. assign V947278 = V261226 - 1. assign V774853 = V221076 + 1. assign V345913 = V027983 + 1. assign V326930 = V487584. assign V519226 = V911735 - 1. assign V105370 = V157829 - 1. assign V032608 = V496081 + 1. assign V919634 = V255103 - 1. assign V025057 = V454798 + 1. assign V994121 = V218143 + 1. assign V176792 = V423471 + 1. assign V704960 = V487584 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV274410 = 9;\n\nFrom these direct assignment(s), we have: \nV792121 = V274410 - 1 = 9 - 1 =8;\nNo other variables can be derived from V792121;\nNo other variables can be derived from V274410;\n\nNow we have done all the calculations. Derived variables are:\nV274410 = 9;\nV792121 = 8;\n\nNow we have finished this problem. ANSWER:\nV274410\n", "role": "assistant" } ]

[ "V157098", "V438563" ]

[ { "content": "<context>\nassign V313901 = V875885 + 1. assign V108949 = V838421 - 1. assign V838421 = V630377. assign V744652 = V310636. assign V767605 = V466847. assign V941618 = V410865 - 1. assign V402638 = V123203 - 1. assign V523033 = V586057 - 1. assign V625264 = V681043. assign V589823 = V276079 - 1. assign V264902 = V381777 + 1. assign V272279 = V363536. assign V292108 = V129785. assign V429169 = V563747 - 1. assign V889554 = V381777. assign V373531 = V071715. assign V115375 = V198480 - 1. assign V780032 = V108733. assign V962313 = V293615. assign V007459 = V214651 - 1. assign V309465 = V509087 - 1. assign V099925 = V949830. assign V736543 = V063140 + 1. assign V179236 = V063140. assign V509471 = V423679. assign V849766 = V586057. assign V550192 = V681043 - 1. assign V453256 = V082062 + 1. assign V180574 = V082062. assign V855259 = V586057 - 1. assign V879946 = V509087 + 1. assign V123203 = V042702 - 1. assign V645502 = V710226 + 1. assign V341542 = V630377 - 1. assign V791297 = V094847 - 1. assign V774021 = V537480 + 1. assign V661828 = V276079 + 1. assign V206581 = V523033. assign V797457 = V058741 + 1. assign V872056 = V178755 + 1. assign V895629 = V033209. assign V427947 = V612642. assign V062555 = V705976. assign V560366 = V612642 + 1. assign V381777 = V797457 - 1. assign V748237 = V170454. assign V480167 = V915817. assign V796746 = V563747 + 1. assign V296437 = V058741. assign V917989 = V836276 - 1. assign V820253 = V008843. assign V931411 = V661828. assign V593747 = V661828 - 1. assign V042702 = V949830. assign V152838 = V710226 - 1. assign V572706 = V870676. assign V759383 = V170454 - 1. assign V129785 = V170454 - 1. assign V813169 = V509087. assign V772662 = V007459. assign V179209 = V637304 - 1. assign V595042 = V007459 + 1. assign V945585 = V805932. assign V827019 = V198480 - 1. assign V157098 = 8. assign V702347 = V292108 - 1. assign V563747 = V681043 - 1. assign V705976 = V725811 - 1. assign V850544 = V123203 + 1. assign V418816 = V042702 - 1. assign V409154 = V309465. assign V725811 = V170454 - 1. assign V235938 = V805932 + 1. assign V949830 = V170454 - 1. assign V846941 = V509087 - 1. assign V423679 = V540533 - 1. assign V214651 = V106565 - 1. assign V739960 = V748237. assign V308810 = V007459. assign V972644 = V381777 + 1. assign V540533 = V046487 - 1. assign V296785 = V313901 + 1. assign V612642 = V099925. assign V796596 = V293615 - 1. assign V363536 = V949830 - 1. assign V774962 = V170454 + 1. assign V168658 = V977696 - 1. assign V805932 = V725811. assign V260668 = V667163. assign V586057 = V170454 - 1. assign V876226 = V702347 + 1. assign V111007 = V797457 - 1. assign V704427 = V071715 - 1. assign V915817 = V625264 - 1. assign V108708 = V049472 + 1. assign V977696 = V046487 + 1. assign V799798 = V879946 + 1. assign V770252 = V099925 - 1. assign V136214 = V849766 + 1. assign V776797 = V170454 + 1. assign V293615 = V879946 + 1. assign V355430 = V681043 + 1. assign V733894 = V897040 - 1. assign V594164 = V063140. assign V095157 = V071715. assign V198480 = V033209 + 1. assign V236290 = V123203 - 1. assign V245934 = V820253. assign V033209 = V569270. assign V537480 = V739960 + 1. assign V922549 = V748237 - 1. assign V048660 = V347409 - 1. assign V334706 = V849766. assign V180755 = V069557 + 1. assign V094847 = V604792. assign V735691 = V523033 - 1. assign V634376 = V967857. assign V105896 = V381777 - 1. assign V241967 = V569270. assign V569270 = V748237. assign V659088 = V007459. assign V710226 = V895629 + 1. assign V046487 = V537480 + 1. assign V967857 = V733894 - 1. assign V347409 = V049472 - 1. assign V509087 = V170454. assign V178755 = V099925. assign V836276 = V870676 - 1. assign V630377 = V915817. assign V008843 = V042702 - 1. assign V727759 = V071715 + 1. assign V063140 = V466847 + 1. assign V016520 = V296437 - 1. assign V866908 = V082062 - 1. assign V667163 = V560366 + 1. assign V069557 = V509087. assign V108733 = V725811 + 1. assign V870676 = V509087 + 1. assign V438563 = V157098. assign V899653 = V008843. assign V091153 = V472589. assign V383799 = V897040. assign V410865 = V805932 - 1. assign V564842 = V540533 + 1. assign V069414 = V645502. assign V542392 = V198480 - 1. assign V745094 = V739960 + 1. assign V598258 = V537480. assign V298004 = V509087 - 1. assign V875885 = V472589 + 1. assign V050731 = V062555 + 1. assign V634387 = V276079. assign V082062 = V733894 - 1. assign V049472 = V523033 + 1. assign V681043 = V509087. assign V897040 = V129785 - 1. assign V071715 = V523033. assign V604792 = V296437 + 1. assign V466847 = V082062 - 1. assign V575839 = V875885. assign V472589 = V129785 - 1. assign V637304 = V748237. assign V721977 = V748237 + 1. assign V428492 = V046487 - 1. assign V884317 = V292108 - 1. assign V276079 = V123203 + 1. assign V310636 = V108949 - 1. assign V862199 = V466847. assign V106565 = V681043 + 1. assign V380446 = V569270. assign V058741 = V472589. assign V312050 = V625264 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V313901 = V875885 + 1. assign V108949 = V838421 - 1. assign V838421 = V630377. assign V744652 = V310636. assign V767605 = V466847. assign V941618 = V410865 - 1. assign V402638 = V123203 - 1. assign V523033 = V586057 - 1. assign V625264 = V681043. assign V589823 = V276079 - 1. assign V264902 = V381777 + 1. assign V272279 = V363536. assign V292108 = V129785. assign V429169 = V563747 - 1. assign V889554 = V381777. assign V373531 = V071715. assign V115375 = V198480 - 1. assign V780032 = V108733. assign V962313 = V293615. assign V007459 = V214651 - 1. assign V309465 = V509087 - 1. assign V099925 = V949830. assign V736543 = V063140 + 1. assign V179236 = V063140. assign V509471 = V423679. assign V849766 = V586057. assign V550192 = V681043 - 1. assign V453256 = V082062 + 1. assign V180574 = V082062. assign V855259 = V586057 - 1. assign V879946 = V509087 + 1. assign V123203 = V042702 - 1. assign V645502 = V710226 + 1. assign V341542 = V630377 - 1. assign V791297 = V094847 - 1. assign V774021 = V537480 + 1. assign V661828 = V276079 + 1. assign V206581 = V523033. assign V797457 = V058741 + 1. assign V872056 = V178755 + 1. assign V895629 = V033209. assign V427947 = V612642. assign V062555 = V705976. assign V560366 = V612642 + 1. assign V381777 = V797457 - 1. assign V748237 = V170454. assign V480167 = V915817. assign V796746 = V563747 + 1. assign V296437 = V058741. assign V917989 = V836276 - 1. assign V820253 = V008843. assign V931411 = V661828. assign V593747 = V661828 - 1. assign V042702 = V949830. assign V152838 = V710226 - 1. assign V572706 = V870676. assign V759383 = V170454 - 1. assign V129785 = V170454 - 1. assign V813169 = V509087. assign V772662 = V007459. assign V179209 = V637304 - 1. assign V595042 = V007459 + 1. assign V945585 = V805932. assign V827019 = V198480 - 1. assign V157098 = 8. assign V702347 = V292108 - 1. assign V563747 = V681043 - 1. assign V705976 = V725811 - 1. assign V850544 = V123203 + 1. assign V418816 = V042702 - 1. assign V409154 = V309465. assign V725811 = V170454 - 1. assign V235938 = V805932 + 1. assign V949830 = V170454 - 1. assign V846941 = V509087 - 1. assign V423679 = V540533 - 1. assign V214651 = V106565 - 1. assign V739960 = V748237. assign V308810 = V007459. assign V972644 = V381777 + 1. assign V540533 = V046487 - 1. assign V296785 = V313901 + 1. assign V612642 = V099925. assign V796596 = V293615 - 1. assign V363536 = V949830 - 1. assign V774962 = V170454 + 1. assign V168658 = V977696 - 1. assign V805932 = V725811. assign V260668 = V667163. assign V586057 = V170454 - 1. assign V876226 = V702347 + 1. assign V111007 = V797457 - 1. assign V704427 = V071715 - 1. assign V915817 = V625264 - 1. assign V108708 = V049472 + 1. assign V977696 = V046487 + 1. assign V799798 = V879946 + 1. assign V770252 = V099925 - 1. assign V136214 = V849766 + 1. assign V776797 = V170454 + 1. assign V293615 = V879946 + 1. assign V355430 = V681043 + 1. assign V733894 = V897040 - 1. assign V594164 = V063140. assign V095157 = V071715. assign V198480 = V033209 + 1. assign V236290 = V123203 - 1. assign V245934 = V820253. assign V033209 = V569270. assign V537480 = V739960 + 1. assign V922549 = V748237 - 1. assign V048660 = V347409 - 1. assign V334706 = V849766. assign V180755 = V069557 + 1. assign V094847 = V604792. assign V735691 = V523033 - 1. assign V634376 = V967857. assign V105896 = V381777 - 1. assign V241967 = V569270. assign V569270 = V748237. assign V659088 = V007459. assign V710226 = V895629 + 1. assign V046487 = V537480 + 1. assign V967857 = V733894 - 1. assign V347409 = V049472 - 1. assign V509087 = V170454. assign V178755 = V099925. assign V836276 = V870676 - 1. assign V630377 = V915817. assign V008843 = V042702 - 1. assign V727759 = V071715 + 1. assign V063140 = V466847 + 1. assign V016520 = V296437 - 1. assign V866908 = V082062 - 1. assign V667163 = V560366 + 1. assign V069557 = V509087. assign V108733 = V725811 + 1. assign V870676 = V509087 + 1. assign V438563 = V157098. assign V899653 = V008843. assign V091153 = V472589. assign V383799 = V897040. assign V410865 = V805932 - 1. assign V564842 = V540533 + 1. assign V069414 = V645502. assign V542392 = V198480 - 1. assign V745094 = V739960 + 1. assign V598258 = V537480. assign V298004 = V509087 - 1. assign V875885 = V472589 + 1. assign V050731 = V062555 + 1. assign V634387 = V276079. assign V082062 = V733894 - 1. assign V049472 = V523033 + 1. assign V681043 = V509087. assign V897040 = V129785 - 1. assign V071715 = V523033. assign V604792 = V296437 + 1. assign V466847 = V082062 - 1. assign V575839 = V875885. assign V472589 = V129785 - 1. assign V637304 = V748237. assign V721977 = V748237 + 1. assign V428492 = V046487 - 1. assign V884317 = V292108 - 1. assign V276079 = V123203 + 1. assign V310636 = V108949 - 1. assign V862199 = V466847. assign V106565 = V681043 + 1. assign V380446 = V569270. assign V058741 = V472589. assign V312050 = V625264 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV157098 = 8;\n\nFrom these direct assignment(s), we have: \nV438563 = V157098 = 8;\nNo other variables can be derived from V438563;\nNo other variables can be derived from V157098;\n\nNow we have done all the calculations. Derived variables are:\nV157098 = 8;\nV438563 = 8;\n\nNow we have finished this problem. ANSWER:\nV157098, V438563\n", "role": "assistant" } ]

[ "V139308" ]

[ { "content": "<context>\nassign V383583 = V448020 - 1. assign V346059 = V796453 - 1. assign V185053 = V823120. assign V053272 = V409157 + 1. assign V301296 = V537554 - 1. assign V288356 = V886141 - 1. assign V184378 = V823881 - 1. assign V635233 = V537554 - 1. assign V316585 = V798897 - 1. assign V134142 = V543936 - 1. assign V189845 = V184378 + 1. assign V921878 = V768502 + 1. assign V548871 = V592199. assign V631171 = V994958 + 1. assign V073175 = V501481 + 1. assign V158982 = V537554 + 1. assign V466366 = V204680 + 1. assign V959171 = V163352. assign V675104 = V592199. assign V067859 = V383925 + 1. assign V764418 = V189845 - 1. assign V677489 = V573022 + 1. assign V435482 = V436558 - 1. assign V995419 = V519817 + 1. assign V769137 = V288356 + 1. assign V375131 = V519817. assign V748549 = V185053. assign V537554 = V904901 + 1. assign V972211 = V017081 + 1. assign V439940 = V785637. assign V917666 = V247381 - 1. assign V842360 = V911033 + 1. assign V338353 = V689254 - 1. assign V971525 = V346059 - 1. assign V570564 = V025056 + 1. assign V237542 = V729859. assign V448020 = V543936 + 1. assign V612689 = V543936 - 1. assign V034815 = V133995. assign V463089 = V436558 + 1. assign V991463 = V980586 + 1. assign V236602 = V015801 - 1. assign V770122 = V041052 - 1. assign V797186 = V043638 + 1. assign V409157 = V826397 + 1. assign V726854 = V848915 - 1. assign V908003 = V436558 - 1. assign V079968 = V730005. assign V043638 = V631171. assign V436380 = V090087 + 1. assign V695656 = V543936 - 1. assign V270197 = V541962. assign V184554 = V858224. assign V205832 = V729859 - 1. assign V955481 = V185053. assign V130419 = V033361 - 1. assign V592199 = V858224. assign V363230 = V909738 + 1. assign V011634 = V229506. assign V622942 = V543936 + 1. assign V221730 = V262870 - 1. assign V324789 = V383925. assign V519817 = V858224 - 1. assign V904901 = V513492 + 1. assign V543936 = V741684 + 1. assign V909738 = V513492 - 1. assign V204680 = V247381 - 1. assign V703926 = V301296. assign V122956 = V881277 + 1. assign V033361 = V858224 + 1. assign V383925 = V247381 - 1. assign V400790 = V003801. assign V573022 = V324789. assign V609822 = V635233. assign V796453 = V823881 - 1. assign V581091 = V214539 + 1. assign V267963 = V848915 + 1. assign V583866 = V247381. assign V762087 = V842360. assign V256623 = V453629. assign V728635 = V858224 + 1. assign V041162 = V163352 + 1. assign V785637 = V798897. assign V880362 = 3. assign V592448 = V205832. assign V139308 = V880362 - 1. assign V741684 = V796453 - 1. assign V730005 = V886141 + 1. assign V858224 = V501481 - 1. assign V025056 = V848915 - 1. assign V835696 = V478202 + 1. assign V642117 = V133995 - 1. assign V902935 = V163352. assign V262870 = V635233 - 1. assign V911033 = V501481. assign V692986 = V583866 + 1. assign V478202 = V911033. assign V122590 = V631171 - 1. assign V937038 = V267963 + 1. assign V823120 = V620484. assign V133995 = V741684. assign V477377 = V171592 - 1. assign V090087 = V770122 + 1. assign V310746 = V477377 + 1. assign V531727 = V301296. assign V233606 = V316585 + 1. assign V389054 = V073175. assign V131507 = V079968. assign V875379 = V346059. assign V435960 = V543936 + 1. assign V853614 = V383925. assign V232557 = V185053. assign V556335 = V612689 - 1. assign V886141 = V426569. assign V007677 = V612689 - 1. assign V453629 = V247381. assign V229506 = V677489. assign V015801 = V827585. assign V924571 = V904901. assign V513492 = V823881 - 1. assign V207701 = V695656 - 1. assign V454784 = V677489 + 1. assign V612286 = V189845 - 1. assign V550939 = V620484 + 1. assign V220661 = V550939. assign V003801 = V383583 - 1. assign V689254 = V389054. assign V213198 = V980586. assign V436558 = V301296 + 1. assign V394420 = V858224 + 1. assign V827585 = V185053 + 1. assign V479158 = V007677. assign V494471 = V620484 + 1. assign V426569 = V541962. assign V468938 = V519817 + 1. assign V261898 = V550939 + 1. assign V541962 = V994958. assign V792269 = V229506 + 1. assign V980586 = V994958 + 1. assign V723863 = V237542. assign V041052 = V301296. assign V729859 = V447708 + 1. assign V214539 = V971525. assign V545741 = V158982 - 1. assign V887303 = V798897 - 1. assign V695245 = V853614 + 1. assign V734600 = V122590. assign V679542 = V764418 + 1. assign V163352 = V122590 + 1. assign V823761 = V741684 + 1. assign V293211 = V409157 + 1. assign V247381 = V796453 - 1. assign V848915 = V823120. assign V452733 = V573022. assign V620484 = V823881. assign V194332 = V842360. assign V932273 = V886141 - 1. assign V501481 = V741684 - 1. assign V343475 = V642117 - 1. assign V881277 = V835696. assign V171592 = V531727 + 1. assign V823881 = V994958 - 1. assign V225391 = V823761. assign V138734 = V041052 - 1. assign V017081 = V436558. assign V448777 = V823881. assign V798897 = V301296 - 1. assign V165827 = V184554. assign V768502 = V247381 + 1. assign V826397 = V171592 + 1. assign V447708 = V043638. assign V938213 = V798897.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V383583 = V448020 - 1. assign V346059 = V796453 - 1. assign V185053 = V823120. assign V053272 = V409157 + 1. assign V301296 = V537554 - 1. assign V288356 = V886141 - 1. assign V184378 = V823881 - 1. assign V635233 = V537554 - 1. assign V316585 = V798897 - 1. assign V134142 = V543936 - 1. assign V189845 = V184378 + 1. assign V921878 = V768502 + 1. assign V548871 = V592199. assign V631171 = V994958 + 1. assign V073175 = V501481 + 1. assign V158982 = V537554 + 1. assign V466366 = V204680 + 1. assign V959171 = V163352. assign V675104 = V592199. assign V067859 = V383925 + 1. assign V764418 = V189845 - 1. assign V677489 = V573022 + 1. assign V435482 = V436558 - 1. assign V995419 = V519817 + 1. assign V769137 = V288356 + 1. assign V375131 = V519817. assign V748549 = V185053. assign V537554 = V904901 + 1. assign V972211 = V017081 + 1. assign V439940 = V785637. assign V917666 = V247381 - 1. assign V842360 = V911033 + 1. assign V338353 = V689254 - 1. assign V971525 = V346059 - 1. assign V570564 = V025056 + 1. assign V237542 = V729859. assign V448020 = V543936 + 1. assign V612689 = V543936 - 1. assign V034815 = V133995. assign V463089 = V436558 + 1. assign V991463 = V980586 + 1. assign V236602 = V015801 - 1. assign V770122 = V041052 - 1. assign V797186 = V043638 + 1. assign V409157 = V826397 + 1. assign V726854 = V848915 - 1. assign V908003 = V436558 - 1. assign V079968 = V730005. assign V043638 = V631171. assign V436380 = V090087 + 1. assign V695656 = V543936 - 1. assign V270197 = V541962. assign V184554 = V858224. assign V205832 = V729859 - 1. assign V955481 = V185053. assign V130419 = V033361 - 1. assign V592199 = V858224. assign V363230 = V909738 + 1. assign V011634 = V229506. assign V622942 = V543936 + 1. assign V221730 = V262870 - 1. assign V324789 = V383925. assign V519817 = V858224 - 1. assign V904901 = V513492 + 1. assign V543936 = V741684 + 1. assign V909738 = V513492 - 1. assign V204680 = V247381 - 1. assign V703926 = V301296. assign V122956 = V881277 + 1. assign V033361 = V858224 + 1. assign V383925 = V247381 - 1. assign V400790 = V003801. assign V573022 = V324789. assign V609822 = V635233. assign V796453 = V823881 - 1. assign V581091 = V214539 + 1. assign V267963 = V848915 + 1. assign V583866 = V247381. assign V762087 = V842360. assign V256623 = V453629. assign V728635 = V858224 + 1. assign V041162 = V163352 + 1. assign V785637 = V798897. assign V880362 = 3. assign V592448 = V205832. assign V139308 = V880362 - 1. assign V741684 = V796453 - 1. assign V730005 = V886141 + 1. assign V858224 = V501481 - 1. assign V025056 = V848915 - 1. assign V835696 = V478202 + 1. assign V642117 = V133995 - 1. assign V902935 = V163352. assign V262870 = V635233 - 1. assign V911033 = V501481. assign V692986 = V583866 + 1. assign V478202 = V911033. assign V122590 = V631171 - 1. assign V937038 = V267963 + 1. assign V823120 = V620484. assign V133995 = V741684. assign V477377 = V171592 - 1. assign V090087 = V770122 + 1. assign V310746 = V477377 + 1. assign V531727 = V301296. assign V233606 = V316585 + 1. assign V389054 = V073175. assign V131507 = V079968. assign V875379 = V346059. assign V435960 = V543936 + 1. assign V853614 = V383925. assign V232557 = V185053. assign V556335 = V612689 - 1. assign V886141 = V426569. assign V007677 = V612689 - 1. assign V453629 = V247381. assign V229506 = V677489. assign V015801 = V827585. assign V924571 = V904901. assign V513492 = V823881 - 1. assign V207701 = V695656 - 1. assign V454784 = V677489 + 1. assign V612286 = V189845 - 1. assign V550939 = V620484 + 1. assign V220661 = V550939. assign V003801 = V383583 - 1. assign V689254 = V389054. assign V213198 = V980586. assign V436558 = V301296 + 1. assign V394420 = V858224 + 1. assign V827585 = V185053 + 1. assign V479158 = V007677. assign V494471 = V620484 + 1. assign V426569 = V541962. assign V468938 = V519817 + 1. assign V261898 = V550939 + 1. assign V541962 = V994958. assign V792269 = V229506 + 1. assign V980586 = V994958 + 1. assign V723863 = V237542. assign V041052 = V301296. assign V729859 = V447708 + 1. assign V214539 = V971525. assign V545741 = V158982 - 1. assign V887303 = V798897 - 1. assign V695245 = V853614 + 1. assign V734600 = V122590. assign V679542 = V764418 + 1. assign V163352 = V122590 + 1. assign V823761 = V741684 + 1. assign V293211 = V409157 + 1. assign V247381 = V796453 - 1. assign V848915 = V823120. assign V452733 = V573022. assign V620484 = V823881. assign V194332 = V842360. assign V932273 = V886141 - 1. assign V501481 = V741684 - 1. assign V343475 = V642117 - 1. assign V881277 = V835696. assign V171592 = V531727 + 1. assign V823881 = V994958 - 1. assign V225391 = V823761. assign V138734 = V041052 - 1. assign V017081 = V436558. assign V448777 = V823881. assign V798897 = V301296 - 1. assign V165827 = V184554. assign V768502 = V247381 + 1. assign V826397 = V171592 + 1. assign V447708 = V043638. assign V938213 = V798897.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV880362 = 3;\n\nFrom these direct assignment(s), we have: \nV139308 = V880362 - 1 = 3 - 1 =2;\nNo other variables can be derived from V139308;\nNo other variables can be derived from V880362;\n\nNow we have done all the calculations. Derived variables are:\nV880362 = 3;\nV139308 = 2;\n\nNow we have finished this problem. ANSWER:\nV139308\n", "role": "assistant" } ]

[ "V771294" ]

[ { "content": "<context>\nassign V514240 = V763795. assign V027450 = V354297. assign V012964 = V587408. assign V725027 = V884419 + 1. assign V618610 = V556979 - 1. assign V479082 = V379925 - 1. assign V323953 = V014310. assign V083348 = V831582 - 1. assign V556979 = V249497 + 1. assign V285409 = V314749 - 1. assign V996819 = V316038 - 1. assign V155138 = V330957 + 1. assign V831582 = V451564. assign V198766 = V948655 - 1. assign V451564 = V624472 - 1. assign V394423 = V646676 + 1. assign V812954 = V796421 + 1. assign V007592 = V900122 - 1. assign V373251 = V932046 - 1. assign V629205 = V900122 + 1. assign V487669 = V562081 + 1. assign V316038 = V451564 - 1. assign V073586 = V639517 + 1. assign V161892 = V624472 - 1. assign V566555 = V070462 + 1. assign V673517 = V483354. assign V248784 = V138762 + 1. assign V513626 = V057428 + 1. assign V923213 = V138762 - 1. assign V260687 = V725027 + 1. assign V796421 = V119693. assign V922236 = V073586. assign V126730 = V778638. assign V860584 = V884419 + 1. assign V098393 = V857218. assign V421270 = V526872 - 1. assign V562842 = V133003 - 1. assign V653411 = V354297 - 1. assign V883128 = V909489 + 1. assign V952042 = V812954 + 1. assign V057428 = V397041 + 1. assign V710884 = V061965 + 1. assign V778638 = V673277 + 1. assign V339613 = V044472. assign V868611 = V597387 + 1. assign V133003 = V382428. assign V000245 = V900122. assign V268668 = V714688. assign V626416 = V061965 - 1. assign V771294 = 10. assign V981984 = V329954 - 1. assign V433217 = V526872 + 1. assign V160439 = V626416. assign V068459 = V629205 - 1. assign V784055 = V659416 - 1. assign V569844 = V796421 - 1. assign V673277 = V587408. assign V377391 = V952156. assign V962549 = V330957. assign V527824 = V451564 - 1. assign V348824 = V057428 - 1. assign V138762 = V587408 - 1. assign V235891 = V729239. assign V900122 = V268668 - 1. assign V246554 = V248784 + 1. assign V073512 = V316038 + 1. assign V948655 = V874541. assign V680533 = V670805. assign V366124 = V397041 - 1. assign V517117 = V578717 - 1. assign V405825 = V246554 - 1. assign V119693 = V844508 + 1. assign V361444 = V405825 + 1. assign V330957 = V884419. assign V637935 = V246554 - 1. assign V356971 = V161416 - 1. assign V654670 = V246554. assign V952156 = V742292. assign V968953 = V246554 + 1. assign V884419 = V451564 - 1. assign V354297 = V316038. assign V770816 = V796421 + 1. assign V670805 = V874541 + 1. assign V605888 = V146755 + 1. assign V124555 = V883128 - 1. assign V220660 = V138762 - 1. assign V168018 = V329954. assign V929585 = V653411. assign V504108 = V624472 + 1. assign V786496 = V338454 - 1. assign V379925 = V000245. assign V085081 = V517117 - 1. assign V857218 = V531667. assign V597387 = V953141. assign V338454 = V884419 + 1. assign V562081 = V061965 + 1. assign V953141 = V587408 + 1. assign V023476 = V377391 - 1. assign V249497 = V119693 + 1. assign V415137 = V718233. assign V659416 = V446474 - 1. assign V638680 = V578717 - 1. assign V382428 = V504108 + 1. assign V810264 = V725027. assign V578717 = V133003 - 1. assign V329954 = V626416 - 1. assign V644435 = V016495. assign V718233 = V578717. assign V886876 = V770816 - 1. assign V742292 = V624472 + 1. assign V763795 = V504108 + 1. assign V403397 = V962549 + 1. assign V587408 = V884419 + 1. assign V014310 = V397041. assign V508869 = V379925. assign V359783 = V952156. assign V645143 = V703099 - 1. assign V886317 = V742292. assign V874541 = V260687 - 1. assign V893595 = V338454 + 1. assign V740091 = V714688 - 1. assign V175162 = V027450 - 1. assign V703099 = V070462 + 1. assign V161416 = V624472 - 1. assign V427138 = V397041. assign V020835 = V796421 - 1. assign V446474 = V725027 - 1. assign V064620 = V639517 + 1. assign V070462 = V382428. assign V083764 = V323953 - 1. assign V216978 = V886317 - 1. assign V932046 = V860584 + 1. assign V626702 = V416524 + 1. assign V966754 = V427138. assign V844508 = V416524 + 1. assign V806300 = V812954 - 1. assign V851186 = V074000 + 1. assign V119531 = V953141 + 1. assign V044472 = V635738 + 1. assign V074000 = V133003 - 1. assign V757001 = V451564 + 1. assign V649249 = V415137 + 1. assign V531667 = V057428. assign V529109 = V771294 + 1. assign V487045 = V083764 + 1. assign V061965 = V316038 - 1. assign V646676 = V626416 - 1. assign V590644 = V000245 + 1. assign V016495 = V562842 + 1. assign V270580 = V405825 - 1. assign V635738 = V451564 - 1. assign V172008 = V900122 + 1. assign V045023 = V421270. assign V714688 = V061965 + 1. assign V123227 = V483354. assign V314749 = V382428 + 1. assign V142497 = V246554. assign V516921 = V133003 - 1. assign V909489 = V952156 - 1. assign V770418 = V172008 - 1. assign V526872 = V070462 + 1. assign V397041 = V416524 - 1. assign V729239 = V119693 - 1. assign V416524 = V624472. assign V393881 = V160439 + 1. assign V483354 = V073586 - 1. assign V942529 = V626416. assign V546107 = V516921 - 1. assign V639517 = V138762 - 1. assign V430741 = V446474 - 1. assign V364735 = V718233 - 1. assign V146755 = V812954.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V514240 = V763795. assign V027450 = V354297. assign V012964 = V587408. assign V725027 = V884419 + 1. assign V618610 = V556979 - 1. assign V479082 = V379925 - 1. assign V323953 = V014310. assign V083348 = V831582 - 1. assign V556979 = V249497 + 1. assign V285409 = V314749 - 1. assign V996819 = V316038 - 1. assign V155138 = V330957 + 1. assign V831582 = V451564. assign V198766 = V948655 - 1. assign V451564 = V624472 - 1. assign V394423 = V646676 + 1. assign V812954 = V796421 + 1. assign V007592 = V900122 - 1. assign V373251 = V932046 - 1. assign V629205 = V900122 + 1. assign V487669 = V562081 + 1. assign V316038 = V451564 - 1. assign V073586 = V639517 + 1. assign V161892 = V624472 - 1. assign V566555 = V070462 + 1. assign V673517 = V483354. assign V248784 = V138762 + 1. assign V513626 = V057428 + 1. assign V923213 = V138762 - 1. assign V260687 = V725027 + 1. assign V796421 = V119693. assign V922236 = V073586. assign V126730 = V778638. assign V860584 = V884419 + 1. assign V098393 = V857218. assign V421270 = V526872 - 1. assign V562842 = V133003 - 1. assign V653411 = V354297 - 1. assign V883128 = V909489 + 1. assign V952042 = V812954 + 1. assign V057428 = V397041 + 1. assign V710884 = V061965 + 1. assign V778638 = V673277 + 1. assign V339613 = V044472. assign V868611 = V597387 + 1. assign V133003 = V382428. assign V000245 = V900122. assign V268668 = V714688. assign V626416 = V061965 - 1. assign V771294 = 10. assign V981984 = V329954 - 1. assign V433217 = V526872 + 1. assign V160439 = V626416. assign V068459 = V629205 - 1. assign V784055 = V659416 - 1. assign V569844 = V796421 - 1. assign V673277 = V587408. assign V377391 = V952156. assign V962549 = V330957. assign V527824 = V451564 - 1. assign V348824 = V057428 - 1. assign V138762 = V587408 - 1. assign V235891 = V729239. assign V900122 = V268668 - 1. assign V246554 = V248784 + 1. assign V073512 = V316038 + 1. assign V948655 = V874541. assign V680533 = V670805. assign V366124 = V397041 - 1. assign V517117 = V578717 - 1. assign V405825 = V246554 - 1. assign V119693 = V844508 + 1. assign V361444 = V405825 + 1. assign V330957 = V884419. assign V637935 = V246554 - 1. assign V356971 = V161416 - 1. assign V654670 = V246554. assign V952156 = V742292. assign V968953 = V246554 + 1. assign V884419 = V451564 - 1. assign V354297 = V316038. assign V770816 = V796421 + 1. assign V670805 = V874541 + 1. assign V605888 = V146755 + 1. assign V124555 = V883128 - 1. assign V220660 = V138762 - 1. assign V168018 = V329954. assign V929585 = V653411. assign V504108 = V624472 + 1. assign V786496 = V338454 - 1. assign V379925 = V000245. assign V085081 = V517117 - 1. assign V857218 = V531667. assign V597387 = V953141. assign V338454 = V884419 + 1. assign V562081 = V061965 + 1. assign V953141 = V587408 + 1. assign V023476 = V377391 - 1. assign V249497 = V119693 + 1. assign V415137 = V718233. assign V659416 = V446474 - 1. assign V638680 = V578717 - 1. assign V382428 = V504108 + 1. assign V810264 = V725027. assign V578717 = V133003 - 1. assign V329954 = V626416 - 1. assign V644435 = V016495. assign V718233 = V578717. assign V886876 = V770816 - 1. assign V742292 = V624472 + 1. assign V763795 = V504108 + 1. assign V403397 = V962549 + 1. assign V587408 = V884419 + 1. assign V014310 = V397041. assign V508869 = V379925. assign V359783 = V952156. assign V645143 = V703099 - 1. assign V886317 = V742292. assign V874541 = V260687 - 1. assign V893595 = V338454 + 1. assign V740091 = V714688 - 1. assign V175162 = V027450 - 1. assign V703099 = V070462 + 1. assign V161416 = V624472 - 1. assign V427138 = V397041. assign V020835 = V796421 - 1. assign V446474 = V725027 - 1. assign V064620 = V639517 + 1. assign V070462 = V382428. assign V083764 = V323953 - 1. assign V216978 = V886317 - 1. assign V932046 = V860584 + 1. assign V626702 = V416524 + 1. assign V966754 = V427138. assign V844508 = V416524 + 1. assign V806300 = V812954 - 1. assign V851186 = V074000 + 1. assign V119531 = V953141 + 1. assign V044472 = V635738 + 1. assign V074000 = V133003 - 1. assign V757001 = V451564 + 1. assign V649249 = V415137 + 1. assign V531667 = V057428. assign V529109 = V771294 + 1. assign V487045 = V083764 + 1. assign V061965 = V316038 - 1. assign V646676 = V626416 - 1. assign V590644 = V000245 + 1. assign V016495 = V562842 + 1. assign V270580 = V405825 - 1. assign V635738 = V451564 - 1. assign V172008 = V900122 + 1. assign V045023 = V421270. assign V714688 = V061965 + 1. assign V123227 = V483354. assign V314749 = V382428 + 1. assign V142497 = V246554. assign V516921 = V133003 - 1. assign V909489 = V952156 - 1. assign V770418 = V172008 - 1. assign V526872 = V070462 + 1. assign V397041 = V416524 - 1. assign V729239 = V119693 - 1. assign V416524 = V624472. assign V393881 = V160439 + 1. assign V483354 = V073586 - 1. assign V942529 = V626416. assign V546107 = V516921 - 1. assign V639517 = V138762 - 1. assign V430741 = V446474 - 1. assign V364735 = V718233 - 1. assign V146755 = V812954.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV771294 = 10;\n\nFrom these direct assignment(s), we have: \nV529109 = V771294 + 1 = 10 + 1 =11;\nNo other variables can be derived from V529109;\nNo other variables can be derived from V771294;\n\nNow we have done all the calculations. Derived variables are:\nV771294 = 10;\nV529109 = 11;\n\nNow we have finished this problem. ANSWER:\nV771294\n", "role": "assistant" } ]

[ "V487829" ]

[ { "content": "<context>\nassign V498014 = V636061 - 1. assign V412099 = V174932 + 1. assign V877919 = V100650 + 1. assign V725844 = V249165 - 1. assign V123919 = V771608. assign V032799 = V647538 - 1. assign V821880 = V110658. assign V626020 = V352540 - 1. assign V996319 = V877919 - 1. assign V688417 = V162689 - 1. assign V232364 = V387101. assign V686450 = V825232. assign V110658 = V191083 - 1. assign V404519 = V880408 - 1. assign V015563 = V833067. assign V640393 = V313588. assign V387101 = V545989 + 1. assign V488459 = V880408 - 1. assign V316301 = V100650 + 1. assign V412308 = V910847 + 1. assign V897366 = V037333 + 1. assign V321003 = V880408. assign V575748 = V686450 - 1. assign V697880 = V300994 + 1. assign V874286 = V937391. assign V045087 = V162689. assign V857616 = V079463 + 1. assign V825232 = V174932 - 1. assign V704790 = V880408 + 1. assign V798726 = V534736 + 1. assign V256705 = V352540 - 1. assign V562502 = V104246. assign V642205 = V969893 + 1. assign V878993 = V045087 + 1. assign V852018 = V204995 - 1. assign V459994 = V982587 - 1. assign V191405 = V704790. assign V002808 = V320484 - 1. assign V784391 = V316301 + 1. assign V863653 = V771608. assign V560474 = V338730 + 1. assign V267942 = V318237 - 1. assign V372834 = V780602 + 1. assign V534804 = V771608 + 1. assign V327121 = V436749 - 1. assign V091948 = V100650 - 1. assign V760425 = V488459 + 1. assign V186268 = V823375 + 1. assign V527182 = V910847 - 1. assign V076688 = V575748. assign V996127 = V527182 + 1. assign V318237 = V714904. assign V108012 = V122847 + 1. assign V636538 = V174932. assign V104246 = V897366. assign V510778 = V390098. assign V913410 = V581878 + 1. assign V910847 = V756492 + 1. assign V436749 = V495865 + 1. assign V646409 = V926912. assign V823375 = V125195 - 1. assign V249165 = V193047 + 1. assign V292475 = V527182. assign V079463 = V174932 - 1. assign V689864 = V256705 - 1. assign V126995 = V756492. assign V764666 = V581878 + 1. assign V313588 = V174932 + 1. assign V495865 = V100650 - 1. assign V308678 = V996319 + 1. assign V871184 = V978906 + 1. assign V021624 = V015563 - 1. assign V966723 = V416650. assign V534736 = V756492 - 1. assign V475088 = V756492 + 1. assign V390098 = V996319 - 1. assign V451675 = V436749 - 1. assign V387039 = V100650 - 1. assign V407562 = V897366 + 1. assign V833067 = V910847. assign V756492 = V545989 + 1. assign V377541 = V878993 - 1. assign V993227 = V352540 + 1. assign V819329 = V037333. assign V926912 = V352540 + 1. assign V204995 = V857616 - 1. assign V880408 = V407562 + 1. assign V941355 = V725844 - 1. assign V957468 = V032799. assign V627598 = V416650 - 1. assign V537982 = V606264. assign V338730 = V714904 - 1. assign V193047 = V436749. assign V606264 = V079463 + 1. assign V056576 = V923376 - 1. assign V843691 = V878993 - 1. assign V962498 = V316301 - 1. assign V262536 = V069074. assign V300088 = V139264 - 1. assign V320484 = V139264. assign V059862 = V897366 + 1. assign V419794 = V689529 + 1. assign V174932 = V162689 + 1. assign V156782 = V606264. assign V163560 = V139323. assign V969893 = V079463. assign V847565 = V387101 + 1. assign V937391 = V880408 + 1. assign V982587 = V825232 + 1. assign V039283 = V819329. assign V581878 = V680370. assign V728623 = V416650. assign V780602 = V647538 - 1. assign V197545 = V545989 + 1. assign V469893 = V159496. assign V593311 = V416650. assign V967459 = V436749 + 1. assign V394402 = V877919. assign V416650 = V122847. assign V261123 = V300088 + 1. assign V689529 = V193047 + 1. assign V744153 = V847565 + 1. assign V191083 = V756492. assign V619792 = V206600 + 1. assign V771608 = V996127. assign V973345 = V122732. assign V028919 = V412308 + 1. assign V636061 = V966723 - 1. assign V545989 = V275892. assign V752402 = V606264 + 1. assign V978906 = V752402 + 1. assign V011295 = V847565 + 1. assign V583055 = V771608 - 1. assign V714904 = V126995 + 1. assign V689463 = V015563. assign V610894 = V191083 + 1. assign V037333 = V100650. assign V923376 = V545989 - 1. assign V206600 = V125195 - 1. assign V069074 = V857616 + 1. assign V612191 = V037333 + 1. assign V073230 = V191083 - 1. assign V139264 = V436749 - 1. assign V885012 = V206600 + 1. assign V122732 = V996319 - 1. assign V122847 = V100650 + 1. assign V647538 = V407562 + 1. assign V352540 = V495865 + 1. assign V484434 = V410807 - 1. assign V375619 = V583055 + 1. assign V780444 = V100650 - 1. assign V462133 = V375619 + 1. assign V125195 = V581878 - 1. assign V159496 = V647538 - 1. assign V167256 = V877919 - 1. assign V275892 = V316301. assign V825883 = V487829 + 1. assign V778956 = V926912. assign V680370 = V316301 - 1. assign V117952 = V159496 + 1. assign V453397 = V833067 - 1. assign V139323 = V256705 + 1. assign V814434 = V300088 + 1. assign V253267 = V416650. assign V661702 = V253267 + 1. assign V707588 = V011295. assign V487829 = 9. assign V300994 = V436749. assign V400401 = V204995. assign V410807 = V583055. assign V671920 = V256705. assign V162689 = V037333 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V498014 = V636061 - 1. assign V412099 = V174932 + 1. assign V877919 = V100650 + 1. assign V725844 = V249165 - 1. assign V123919 = V771608. assign V032799 = V647538 - 1. assign V821880 = V110658. assign V626020 = V352540 - 1. assign V996319 = V877919 - 1. assign V688417 = V162689 - 1. assign V232364 = V387101. assign V686450 = V825232. assign V110658 = V191083 - 1. assign V404519 = V880408 - 1. assign V015563 = V833067. assign V640393 = V313588. assign V387101 = V545989 + 1. assign V488459 = V880408 - 1. assign V316301 = V100650 + 1. assign V412308 = V910847 + 1. assign V897366 = V037333 + 1. assign V321003 = V880408. assign V575748 = V686450 - 1. assign V697880 = V300994 + 1. assign V874286 = V937391. assign V045087 = V162689. assign V857616 = V079463 + 1. assign V825232 = V174932 - 1. assign V704790 = V880408 + 1. assign V798726 = V534736 + 1. assign V256705 = V352540 - 1. assign V562502 = V104246. assign V642205 = V969893 + 1. assign V878993 = V045087 + 1. assign V852018 = V204995 - 1. assign V459994 = V982587 - 1. assign V191405 = V704790. assign V002808 = V320484 - 1. assign V784391 = V316301 + 1. assign V863653 = V771608. assign V560474 = V338730 + 1. assign V267942 = V318237 - 1. assign V372834 = V780602 + 1. assign V534804 = V771608 + 1. assign V327121 = V436749 - 1. assign V091948 = V100650 - 1. assign V760425 = V488459 + 1. assign V186268 = V823375 + 1. assign V527182 = V910847 - 1. assign V076688 = V575748. assign V996127 = V527182 + 1. assign V318237 = V714904. assign V108012 = V122847 + 1. assign V636538 = V174932. assign V104246 = V897366. assign V510778 = V390098. assign V913410 = V581878 + 1. assign V910847 = V756492 + 1. assign V436749 = V495865 + 1. assign V646409 = V926912. assign V823375 = V125195 - 1. assign V249165 = V193047 + 1. assign V292475 = V527182. assign V079463 = V174932 - 1. assign V689864 = V256705 - 1. assign V126995 = V756492. assign V764666 = V581878 + 1. assign V313588 = V174932 + 1. assign V495865 = V100650 - 1. assign V308678 = V996319 + 1. assign V871184 = V978906 + 1. assign V021624 = V015563 - 1. assign V966723 = V416650. assign V534736 = V756492 - 1. assign V475088 = V756492 + 1. assign V390098 = V996319 - 1. assign V451675 = V436749 - 1. assign V387039 = V100650 - 1. assign V407562 = V897366 + 1. assign V833067 = V910847. assign V756492 = V545989 + 1. assign V377541 = V878993 - 1. assign V993227 = V352540 + 1. assign V819329 = V037333. assign V926912 = V352540 + 1. assign V204995 = V857616 - 1. assign V880408 = V407562 + 1. assign V941355 = V725844 - 1. assign V957468 = V032799. assign V627598 = V416650 - 1. assign V537982 = V606264. assign V338730 = V714904 - 1. assign V193047 = V436749. assign V606264 = V079463 + 1. assign V056576 = V923376 - 1. assign V843691 = V878993 - 1. assign V962498 = V316301 - 1. assign V262536 = V069074. assign V300088 = V139264 - 1. assign V320484 = V139264. assign V059862 = V897366 + 1. assign V419794 = V689529 + 1. assign V174932 = V162689 + 1. assign V156782 = V606264. assign V163560 = V139323. assign V969893 = V079463. assign V847565 = V387101 + 1. assign V937391 = V880408 + 1. assign V982587 = V825232 + 1. assign V039283 = V819329. assign V581878 = V680370. assign V728623 = V416650. assign V780602 = V647538 - 1. assign V197545 = V545989 + 1. assign V469893 = V159496. assign V593311 = V416650. assign V967459 = V436749 + 1. assign V394402 = V877919. assign V416650 = V122847. assign V261123 = V300088 + 1. assign V689529 = V193047 + 1. assign V744153 = V847565 + 1. assign V191083 = V756492. assign V619792 = V206600 + 1. assign V771608 = V996127. assign V973345 = V122732. assign V028919 = V412308 + 1. assign V636061 = V966723 - 1. assign V545989 = V275892. assign V752402 = V606264 + 1. assign V978906 = V752402 + 1. assign V011295 = V847565 + 1. assign V583055 = V771608 - 1. assign V714904 = V126995 + 1. assign V689463 = V015563. assign V610894 = V191083 + 1. assign V037333 = V100650. assign V923376 = V545989 - 1. assign V206600 = V125195 - 1. assign V069074 = V857616 + 1. assign V612191 = V037333 + 1. assign V073230 = V191083 - 1. assign V139264 = V436749 - 1. assign V885012 = V206600 + 1. assign V122732 = V996319 - 1. assign V122847 = V100650 + 1. assign V647538 = V407562 + 1. assign V352540 = V495865 + 1. assign V484434 = V410807 - 1. assign V375619 = V583055 + 1. assign V780444 = V100650 - 1. assign V462133 = V375619 + 1. assign V125195 = V581878 - 1. assign V159496 = V647538 - 1. assign V167256 = V877919 - 1. assign V275892 = V316301. assign V825883 = V487829 + 1. assign V778956 = V926912. assign V680370 = V316301 - 1. assign V117952 = V159496 + 1. assign V453397 = V833067 - 1. assign V139323 = V256705 + 1. assign V814434 = V300088 + 1. assign V253267 = V416650. assign V661702 = V253267 + 1. assign V707588 = V011295. assign V487829 = 9. assign V300994 = V436749. assign V400401 = V204995. assign V410807 = V583055. assign V671920 = V256705. assign V162689 = V037333 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV487829 = 9;\n\nFrom these direct assignment(s), we have: \nV825883 = V487829 + 1 = 9 + 1 =10;\nNo other variables can be derived from V825883;\nNo other variables can be derived from V487829;\n\nNow we have done all the calculations. Derived variables are:\nV487829 = 9;\nV825883 = 10;\n\nNow we have finished this problem. ANSWER:\nV487829\n", "role": "assistant" } ]

[ "V608850", "V696754" ]

[ { "content": "<context>\nassign V492272 = V459823 + 1. assign V887096 = V629202 - 1. assign V509942 = V787837 + 1. assign V806465 = V037151 - 1. assign V246418 = V304607. assign V519857 = V864474. assign V935592 = V924596 + 1. assign V902166 = V313668. assign V627354 = V218142. assign V768674 = V952411 + 1. assign V337898 = V452057 + 1. assign V190965 = V447581. assign V512184 = V054341. assign V488624 = V546527 - 1. assign V952411 = V883983. assign V915204 = V447581 - 1. assign V594448 = V655766. assign V104441 = V786631. assign V031780 = V974183 - 1. assign V341697 = V228806. assign V862386 = V577401 + 1. assign V297676 = V490665. assign V054341 = V424008 - 1. assign V459823 = V883983 - 1. assign V350179 = V424008 - 1. assign V832000 = V800263 - 1. assign V371277 = V746293. assign V402194 = V776623 - 1. assign V988427 = V546527. assign V710690 = V341697 - 1. assign V526914 = V452057 - 1. assign V977552 = V452057. assign V041869 = V086665 + 1. assign V497957 = V977552 - 1. assign V861391 = V104441 + 1. assign V438463 = V246826 - 1. assign V875424 = V052281. assign V114122 = V428971 + 1. assign V509991 = V974183. assign V924911 = V039831 + 1. assign V421806 = V492272. assign V588046 = V401107. assign V401107 = V883983 + 1. assign V735388 = V452057 + 1. assign V309012 = V139091. assign V049922 = V228806 + 1. assign V946383 = V500573 + 1. assign V800263 = V655766 - 1. assign V834623 = V935592. assign V416875 = V924596 - 1. assign V751419 = V287901 - 1. assign V599998 = V844388 - 1. assign V163277 = V882552 - 1. assign V914751 = V668045 - 1. assign V293331 = V313668. assign V246826 = V746293. assign V486929 = V526914 + 1. assign V271564 = V882552 - 1. assign V787837 = V037151 + 1. assign V490665 = V421806 - 1. assign V837966 = V410610 - 1. assign V688550 = V229734 - 1. assign V039224 = V513180 - 1. assign V327936 = V114122 + 1. assign V647028 = V049922. assign V967486 = V787837 - 1. assign V052281 = V930509. assign V427572 = V096216 + 1. assign V570336 = V512184. assign V902967 = V655766 + 1. assign V653927 = V902967. assign V484146 = V052281 - 1. assign V615344 = V599998. assign V697930 = V041869. assign V979004 = V883983. assign V786631 = V052281. assign V963589 = V132044 + 1. assign V967581 = V786631 - 1. assign V123699 = V513180 - 1. assign V287418 = V865882. assign V500893 = V837966 - 1. assign V889335 = V786631 - 1. assign V442574 = V500893 - 1. assign V263840 = V653237 - 1. assign V852502 = V941399 - 1. assign V930509 = V706211 + 1. assign V673632 = V526914 - 1. assign V830009 = V952411 + 1. assign V546527 = V930509 - 1. assign V995992 = V526914. assign V143732 = V629202 + 1. assign V882645 = V247347 - 1. assign V037151 = V452057 - 1. assign V531209 = V865882. assign V944001 = V924596 + 1. assign V974183 = V526914 - 1. assign V218142 = V902967. assign V440530 = V844388 - 1. assign V016698 = V401107 - 1. assign V653237 = V226717 + 1. assign V696754 = V608850. assign V629202 = V924911. assign V213029 = V442597 - 1. assign V910788 = V887096 - 1. assign V794061 = V526914. assign V969647 = V139091. assign V886378 = V915204. assign V452057 = V052281 - 1. assign V313668 = V526914 - 1. assign V010182 = V213029. assign V941399 = V452057 + 1. assign V447581 = V837966 + 1. assign V322097 = V111309. assign V229734 = V786631. assign V861750 = V139091 - 1. assign V926641 = V438463 + 1. assign V256459 = V228806 + 1. assign V287901 = V889335. assign V388335 = V401107 - 1. assign V555796 = V246911 + 1. assign V882552 = V229734 - 1. assign V226717 = V247347. assign V679029 = V861391 + 1. assign V024995 = V588046 + 1. assign V557981 = V830009. assign V513180 = V484146. assign V651488 = V104441 - 1. assign V652961 = V402194. assign V924596 = V104441. assign V577401 = V509942. assign V132044 = V246911 - 1. assign V844388 = V049922 + 1. assign V530748 = V988427 - 1. assign V428971 = V889335. assign V444130 = V941399 - 1. assign V865882 = V337898 + 1. assign V431677 = V946383. assign V883983 = V889335. assign V219651 = V304607 + 1. assign V037030 = V526914 + 1. assign V175219 = V627354. assign V776623 = V526914. assign V247347 = V484146. assign V161701 = V902967 + 1. assign V206319 = V629202 - 1. assign V269460 = V428971 - 1. assign V139091 = V513180 + 1. assign V259899 = V104441. assign V086665 = V269460 - 1. assign V066955 = V226717 + 1. assign V746293 = V263840. assign V608850 = 3. assign V228806 = V706211. assign V864474 = V444130 + 1. assign V531661 = V143732. assign V442597 = V452057 + 1. assign V623152 = V287901. assign V668045 = V944001 + 1. assign V630222 = V111309. assign V039831 = V341697. assign V096216 = V304607 + 1. assign V246911 = V889335 + 1. assign V295977 = V066955 - 1. assign V111309 = V428971. assign V410610 = V440530 + 1. assign V047291 = V459823. assign V851659 = V206319. assign V081397 = V123699 - 1. assign V655766 = V442597 + 1. assign V424008 = V139091 + 1. assign V500573 = V935592. assign V304607 = V114122 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V492272 = V459823 + 1. assign V887096 = V629202 - 1. assign V509942 = V787837 + 1. assign V806465 = V037151 - 1. assign V246418 = V304607. assign V519857 = V864474. assign V935592 = V924596 + 1. assign V902166 = V313668. assign V627354 = V218142. assign V768674 = V952411 + 1. assign V337898 = V452057 + 1. assign V190965 = V447581. assign V512184 = V054341. assign V488624 = V546527 - 1. assign V952411 = V883983. assign V915204 = V447581 - 1. assign V594448 = V655766. assign V104441 = V786631. assign V031780 = V974183 - 1. assign V341697 = V228806. assign V862386 = V577401 + 1. assign V297676 = V490665. assign V054341 = V424008 - 1. assign V459823 = V883983 - 1. assign V350179 = V424008 - 1. assign V832000 = V800263 - 1. assign V371277 = V746293. assign V402194 = V776623 - 1. assign V988427 = V546527. assign V710690 = V341697 - 1. assign V526914 = V452057 - 1. assign V977552 = V452057. assign V041869 = V086665 + 1. assign V497957 = V977552 - 1. assign V861391 = V104441 + 1. assign V438463 = V246826 - 1. assign V875424 = V052281. assign V114122 = V428971 + 1. assign V509991 = V974183. assign V924911 = V039831 + 1. assign V421806 = V492272. assign V588046 = V401107. assign V401107 = V883983 + 1. assign V735388 = V452057 + 1. assign V309012 = V139091. assign V049922 = V228806 + 1. assign V946383 = V500573 + 1. assign V800263 = V655766 - 1. assign V834623 = V935592. assign V416875 = V924596 - 1. assign V751419 = V287901 - 1. assign V599998 = V844388 - 1. assign V163277 = V882552 - 1. assign V914751 = V668045 - 1. assign V293331 = V313668. assign V246826 = V746293. assign V486929 = V526914 + 1. assign V271564 = V882552 - 1. assign V787837 = V037151 + 1. assign V490665 = V421806 - 1. assign V837966 = V410610 - 1. assign V688550 = V229734 - 1. assign V039224 = V513180 - 1. assign V327936 = V114122 + 1. assign V647028 = V049922. assign V967486 = V787837 - 1. assign V052281 = V930509. assign V427572 = V096216 + 1. assign V570336 = V512184. assign V902967 = V655766 + 1. assign V653927 = V902967. assign V484146 = V052281 - 1. assign V615344 = V599998. assign V697930 = V041869. assign V979004 = V883983. assign V786631 = V052281. assign V963589 = V132044 + 1. assign V967581 = V786631 - 1. assign V123699 = V513180 - 1. assign V287418 = V865882. assign V500893 = V837966 - 1. assign V889335 = V786631 - 1. assign V442574 = V500893 - 1. assign V263840 = V653237 - 1. assign V852502 = V941399 - 1. assign V930509 = V706211 + 1. assign V673632 = V526914 - 1. assign V830009 = V952411 + 1. assign V546527 = V930509 - 1. assign V995992 = V526914. assign V143732 = V629202 + 1. assign V882645 = V247347 - 1. assign V037151 = V452057 - 1. assign V531209 = V865882. assign V944001 = V924596 + 1. assign V974183 = V526914 - 1. assign V218142 = V902967. assign V440530 = V844388 - 1. assign V016698 = V401107 - 1. assign V653237 = V226717 + 1. assign V696754 = V608850. assign V629202 = V924911. assign V213029 = V442597 - 1. assign V910788 = V887096 - 1. assign V794061 = V526914. assign V969647 = V139091. assign V886378 = V915204. assign V452057 = V052281 - 1. assign V313668 = V526914 - 1. assign V010182 = V213029. assign V941399 = V452057 + 1. assign V447581 = V837966 + 1. assign V322097 = V111309. assign V229734 = V786631. assign V861750 = V139091 - 1. assign V926641 = V438463 + 1. assign V256459 = V228806 + 1. assign V287901 = V889335. assign V388335 = V401107 - 1. assign V555796 = V246911 + 1. assign V882552 = V229734 - 1. assign V226717 = V247347. assign V679029 = V861391 + 1. assign V024995 = V588046 + 1. assign V557981 = V830009. assign V513180 = V484146. assign V651488 = V104441 - 1. assign V652961 = V402194. assign V924596 = V104441. assign V577401 = V509942. assign V132044 = V246911 - 1. assign V844388 = V049922 + 1. assign V530748 = V988427 - 1. assign V428971 = V889335. assign V444130 = V941399 - 1. assign V865882 = V337898 + 1. assign V431677 = V946383. assign V883983 = V889335. assign V219651 = V304607 + 1. assign V037030 = V526914 + 1. assign V175219 = V627354. assign V776623 = V526914. assign V247347 = V484146. assign V161701 = V902967 + 1. assign V206319 = V629202 - 1. assign V269460 = V428971 - 1. assign V139091 = V513180 + 1. assign V259899 = V104441. assign V086665 = V269460 - 1. assign V066955 = V226717 + 1. assign V746293 = V263840. assign V608850 = 3. assign V228806 = V706211. assign V864474 = V444130 + 1. assign V531661 = V143732. assign V442597 = V452057 + 1. assign V623152 = V287901. assign V668045 = V944001 + 1. assign V630222 = V111309. assign V039831 = V341697. assign V096216 = V304607 + 1. assign V246911 = V889335 + 1. assign V295977 = V066955 - 1. assign V111309 = V428971. assign V410610 = V440530 + 1. assign V047291 = V459823. assign V851659 = V206319. assign V081397 = V123699 - 1. assign V655766 = V442597 + 1. assign V424008 = V139091 + 1. assign V500573 = V935592. assign V304607 = V114122 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV608850 = 3;\n\nFrom these direct assignment(s), we have: \nV696754 = V608850 = 3;\nNo other variables can be derived from V696754;\nNo other variables can be derived from V608850;\n\nNow we have done all the calculations. Derived variables are:\nV608850 = 3;\nV696754 = 3;\n\nNow we have finished this problem. ANSWER:\nV608850, V696754\n", "role": "assistant" } ]

[ "V382508", "V968952" ]

[ { "content": "<context>\nassign V580288 = V189802. assign V491659 = V601376. assign V175635 = V667377 + 1. assign V151634 = V883239 - 1. assign V691575 = V831433. assign V620593 = V786621 + 1. assign V115189 = V933543. assign V875864 = V391521 - 1. assign V041929 = V242715 - 1. assign V865244 = V928870 + 1. assign V323496 = V978712 + 1. assign V371202 = V704991 - 1. assign V102421 = V586190 - 1. assign V800223 = V831433 - 1. assign V833388 = V014928 + 1. assign V978712 = V014928 + 1. assign V200816 = V043162. assign V312271 = V556778. assign V002090 = V078930 + 1. assign V003171 = V394692 + 1. assign V171230 = V291855 + 1. assign V556778 = V959657 - 1. assign V743767 = V312271 + 1. assign V345810 = V698156. assign V826409 = V959657 - 1. assign V509875 = V597504 + 1. assign V906943 = V312271 - 1. assign V768575 = V813989 + 1. assign V047060 = V743767. assign V861907 = V175635 - 1. assign V886682 = V883239 + 1. assign V125084 = V090200 + 1. assign V758218 = V675282 - 1. assign V601376 = V831433. assign V400434 = V345810. assign V970751 = V831433. assign V053634 = V077545 + 1. assign V973971 = V407149. assign V933543 = V997610. assign V220218 = V171230 - 1. assign V505286 = V748098 - 1. assign V535685 = V743767. assign V928870 = V078930. assign V078930 = V189802 + 1. assign V477277 = V220218 + 1. assign V393292 = V667377. assign V719105 = V828818 + 1. assign V135997 = V704991 + 1. assign V212804 = V517984 - 1. assign V151802 = V477277. assign V407149 = V287453 - 1. assign V636362 = V530002 + 1. assign V394692 = V556778. assign V037222 = V189802 - 1. assign V400299 = V781076 + 1. assign V237991 = V698156 + 1. assign V535106 = V717978 + 1. assign V786621 = V580288 + 1. assign V136519 = V743767 - 1. assign V394120 = V217493 + 1. assign V369952 = V090200 + 1. assign V702910 = V720015 + 1. assign V486633 = V394692. assign V837496 = V312271. assign V259999 = V984066 - 1. assign V526928 = V090200 - 1. assign V831433 = V090200 + 1. assign V748098 = V372339 - 1. assign V217493 = V394692. assign V137888 = V283466 - 1. assign V586190 = V705372. assign V927054 = V171230. assign V957321 = V781076 - 1. assign V391521 = V519811 - 1. assign V283466 = V580288 + 1. assign V968952 = V382508. assign V632476 = V394692 + 1. assign V991466 = V720015 - 1. assign V489457 = V883239. assign V427570 = V189802 + 1. assign V476691 = V530002 + 1. assign V074380 = V253736 + 1. assign V828818 = V346554 - 1. assign V834988 = V394692. assign V237873 = V921645 - 1. assign V291978 = V151634 - 1. assign V947519 = V172369 - 1. assign V534883 = V189802. assign V891818 = V014928. assign V698156 = V743767 + 1. assign V103422 = V997610. assign V746244 = V391521. assign V872097 = V128041 + 1. assign V043162 = V047060 - 1. assign V382508 = 8. assign V172369 = V786621 - 1. assign V316070 = V636362 - 1. assign V722303 = V937287 - 1. assign V122434 = V346554 + 1. assign V752481 = V369952. assign V937287 = V291855. assign V090773 = V323496 - 1. assign V867414 = V786621 + 1. assign V483001 = V872097 - 1. assign V704991 = V037222. assign V188359 = V743767. assign V612431 = V429777. assign V525422 = V675282 - 1. assign V995101 = V947519. assign V398412 = V483001 - 1. assign V720015 = V837496 + 1. assign V623575 = V394692 + 1. assign V389589 = V128041 - 1. assign V560380 = V189802. assign V281157 = V135997. assign V011633 = V188359. assign V199365 = V090773 + 1. assign V879305 = V427570 + 1. assign V106808 = V189802. assign V984066 = V371801. assign V429777 = V601376. assign V884106 = V271889 - 1. assign V180508 = V984066 + 1. assign V959548 = V125084 + 1. assign V597504 = V489457 - 1. assign V090200 = V189802 - 1. assign V630388 = V667377. assign V222632 = V237873 + 1. assign V731660 = V792106 + 1. assign V253736 = V014928. assign V761379 = V517984. assign V077545 = V761379. assign V305299 = V078930 + 1. assign V706018 = V047060. assign V371801 = V786621 - 1. assign V813989 = V959657. assign V569890 = V106808. assign V668787 = V675282 - 1. assign V271889 = V768575 - 1. assign V373067 = V489457. assign V701488 = V928870 - 1. assign V519811 = V291855 - 1. assign V517984 = V291855. assign V717978 = V505286 + 1. assign V606967 = V291855. assign V128041 = V014928. assign V346008 = V872097. assign V792106 = V125084 + 1. assign V363379 = V345810. assign V667377 = V831433 - 1. assign V997610 = V667377 - 1. assign V963040 = V077545. assign V346554 = V720015 + 1. assign V960389 = V429777 - 1. assign V530002 = V743767 - 1. assign V242715 = V826409 + 1. assign V291855 = V959657 - 1. assign V018473 = V569890. assign V551078 = V287453 - 1. assign V883239 = V959657 + 1. assign V372339 = V014928 + 1. assign V781076 = V978712. assign V675282 = V865244 + 1. assign V582266 = V786621 - 1. assign V705372 = V743767. assign V019673 = V525422 + 1. assign V693853 = V171230 - 1. assign V402022 = V560380 + 1. assign V287453 = V014928 - 1. assign V014928 = V837496 - 1. assign V921645 = V883239 - 1. assign V189802 = V813989 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V580288 = V189802. assign V491659 = V601376. assign V175635 = V667377 + 1. assign V151634 = V883239 - 1. assign V691575 = V831433. assign V620593 = V786621 + 1. assign V115189 = V933543. assign V875864 = V391521 - 1. assign V041929 = V242715 - 1. assign V865244 = V928870 + 1. assign V323496 = V978712 + 1. assign V371202 = V704991 - 1. assign V102421 = V586190 - 1. assign V800223 = V831433 - 1. assign V833388 = V014928 + 1. assign V978712 = V014928 + 1. assign V200816 = V043162. assign V312271 = V556778. assign V002090 = V078930 + 1. assign V003171 = V394692 + 1. assign V171230 = V291855 + 1. assign V556778 = V959657 - 1. assign V743767 = V312271 + 1. assign V345810 = V698156. assign V826409 = V959657 - 1. assign V509875 = V597504 + 1. assign V906943 = V312271 - 1. assign V768575 = V813989 + 1. assign V047060 = V743767. assign V861907 = V175635 - 1. assign V886682 = V883239 + 1. assign V125084 = V090200 + 1. assign V758218 = V675282 - 1. assign V601376 = V831433. assign V400434 = V345810. assign V970751 = V831433. assign V053634 = V077545 + 1. assign V973971 = V407149. assign V933543 = V997610. assign V220218 = V171230 - 1. assign V505286 = V748098 - 1. assign V535685 = V743767. assign V928870 = V078930. assign V078930 = V189802 + 1. assign V477277 = V220218 + 1. assign V393292 = V667377. assign V719105 = V828818 + 1. assign V135997 = V704991 + 1. assign V212804 = V517984 - 1. assign V151802 = V477277. assign V407149 = V287453 - 1. assign V636362 = V530002 + 1. assign V394692 = V556778. assign V037222 = V189802 - 1. assign V400299 = V781076 + 1. assign V237991 = V698156 + 1. assign V535106 = V717978 + 1. assign V786621 = V580288 + 1. assign V136519 = V743767 - 1. assign V394120 = V217493 + 1. assign V369952 = V090200 + 1. assign V702910 = V720015 + 1. assign V486633 = V394692. assign V837496 = V312271. assign V259999 = V984066 - 1. assign V526928 = V090200 - 1. assign V831433 = V090200 + 1. assign V748098 = V372339 - 1. assign V217493 = V394692. assign V137888 = V283466 - 1. assign V586190 = V705372. assign V927054 = V171230. assign V957321 = V781076 - 1. assign V391521 = V519811 - 1. assign V283466 = V580288 + 1. assign V968952 = V382508. assign V632476 = V394692 + 1. assign V991466 = V720015 - 1. assign V489457 = V883239. assign V427570 = V189802 + 1. assign V476691 = V530002 + 1. assign V074380 = V253736 + 1. assign V828818 = V346554 - 1. assign V834988 = V394692. assign V237873 = V921645 - 1. assign V291978 = V151634 - 1. assign V947519 = V172369 - 1. assign V534883 = V189802. assign V891818 = V014928. assign V698156 = V743767 + 1. assign V103422 = V997610. assign V746244 = V391521. assign V872097 = V128041 + 1. assign V043162 = V047060 - 1. assign V382508 = 8. assign V172369 = V786621 - 1. assign V316070 = V636362 - 1. assign V722303 = V937287 - 1. assign V122434 = V346554 + 1. assign V752481 = V369952. assign V937287 = V291855. assign V090773 = V323496 - 1. assign V867414 = V786621 + 1. assign V483001 = V872097 - 1. assign V704991 = V037222. assign V188359 = V743767. assign V612431 = V429777. assign V525422 = V675282 - 1. assign V995101 = V947519. assign V398412 = V483001 - 1. assign V720015 = V837496 + 1. assign V623575 = V394692 + 1. assign V389589 = V128041 - 1. assign V560380 = V189802. assign V281157 = V135997. assign V011633 = V188359. assign V199365 = V090773 + 1. assign V879305 = V427570 + 1. assign V106808 = V189802. assign V984066 = V371801. assign V429777 = V601376. assign V884106 = V271889 - 1. assign V180508 = V984066 + 1. assign V959548 = V125084 + 1. assign V597504 = V489457 - 1. assign V090200 = V189802 - 1. assign V630388 = V667377. assign V222632 = V237873 + 1. assign V731660 = V792106 + 1. assign V253736 = V014928. assign V761379 = V517984. assign V077545 = V761379. assign V305299 = V078930 + 1. assign V706018 = V047060. assign V371801 = V786621 - 1. assign V813989 = V959657. assign V569890 = V106808. assign V668787 = V675282 - 1. assign V271889 = V768575 - 1. assign V373067 = V489457. assign V701488 = V928870 - 1. assign V519811 = V291855 - 1. assign V517984 = V291855. assign V717978 = V505286 + 1. assign V606967 = V291855. assign V128041 = V014928. assign V346008 = V872097. assign V792106 = V125084 + 1. assign V363379 = V345810. assign V667377 = V831433 - 1. assign V997610 = V667377 - 1. assign V963040 = V077545. assign V346554 = V720015 + 1. assign V960389 = V429777 - 1. assign V530002 = V743767 - 1. assign V242715 = V826409 + 1. assign V291855 = V959657 - 1. assign V018473 = V569890. assign V551078 = V287453 - 1. assign V883239 = V959657 + 1. assign V372339 = V014928 + 1. assign V781076 = V978712. assign V675282 = V865244 + 1. assign V582266 = V786621 - 1. assign V705372 = V743767. assign V019673 = V525422 + 1. assign V693853 = V171230 - 1. assign V402022 = V560380 + 1. assign V287453 = V014928 - 1. assign V014928 = V837496 - 1. assign V921645 = V883239 - 1. assign V189802 = V813989 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV382508 = 8;\n\nFrom these direct assignment(s), we have: \nV968952 = V382508 = 8;\nNo other variables can be derived from V968952;\nNo other variables can be derived from V382508;\n\nNow we have done all the calculations. Derived variables are:\nV382508 = 8;\nV968952 = 8;\n\nNow we have finished this problem. ANSWER:\nV382508, V968952\n", "role": "assistant" } ]

[ "V030849" ]

[ { "content": "<context>\nassign V579980 = V468178 + 1. assign V470533 = V230381 + 1. assign V808868 = V342323 - 1. assign V167129 = V477730 - 1. assign V173143 = V230381 + 1. assign V670788 = V467577 + 1. assign V437788 = V620641 + 1. assign V804116 = V209425 - 1. assign V133809 = V296112 + 1. assign V912876 = V348970. assign V555481 = V457281. assign V890680 = V092278. assign V573720 = V268707 + 1. assign V811585 = V604844 + 1. assign V059604 = V158147. assign V032740 = V059248. assign V230381 = V719826. assign V244029 = V482638 + 1. assign V713832 = V691615 - 1. assign V321165 = V926247 - 1. assign V888273 = V547570 - 1. assign V893879 = V904960 + 1. assign V676754 = V244029 - 1. assign V085255 = V437788. assign V458612 = V806569 - 1. assign V623914 = V852195 + 1. assign V666585 = V544987 + 1. assign V870714 = V467577. assign V131479 = V429889 + 1. assign V676150 = V342323 - 1. assign V722207 = V963234 + 1. assign V814281 = V348970. assign V016646 = V986919 - 1. assign V648994 = V811895 - 1. assign V898296 = V579980. assign V308911 = V092278 - 1. assign V784045 = V467577. assign V681827 = V342323 - 1. assign V560662 = V349914 + 1. assign V279953 = V083079. assign V452569 = V392398. assign V381528 = V814281 - 1. assign V782390 = V133809 - 1. assign V312929 = V764387 - 1. assign V459177 = V696958 + 1. assign V442086 = V392398. assign V342758 = V348970 + 1. assign V721575 = V279437 + 1. assign V987547 = V061452. assign V089099 = V604844. assign V698579 = V573720. assign V471618 = V713832 - 1. assign V092278 = V576402. assign V516714 = V092278. assign V758233 = V806569. assign V576402 = V928381 - 1. assign V417587 = V952269. assign V520815 = V992957. assign V209425 = V860094 + 1. assign V021334 = V381528. assign V339044 = V952269 - 1. assign V226497 = V019369 - 1. assign V800113 = V855878 - 1. assign V719826 = V620641 + 1. assign V963234 = V804116 - 1. assign V783789 = V158147. assign V634048 = V804116. assign V496777 = V467577. assign V514672 = V244029 - 1. assign V268481 = V384540 - 1. assign V402950 = V713832. assign V215564 = V579980 + 1. assign V547570 = V482638 + 1. assign V118969 = V698579 - 1. assign V823213 = V696958 + 1. assign V860603 = V230381 - 1. assign V482638 = V544987. assign V356344 = V514672 + 1. assign V445328 = V230381 - 1. assign V279437 = V512984 - 1. assign V474609 = V576402. assign V764387 = V634048 - 1. assign V019369 = V703687 - 1. assign V457281 = V477730 + 1. assign V645496 = V085734 - 1. assign V874255 = V806569. assign V384417 = V604844. assign V790845 = V384417 - 1. assign V952269 = V890680 - 1. assign V719492 = V349914 + 1. assign V624316 = V261858. assign V967103 = V544987 - 1. assign V268707 = V452569 - 1. assign V080990 = V627971 - 1. assign V483987 = V852195 + 1. assign V958041 = V634048 + 1. assign V512984 = V719826 + 1. assign V771585 = V437788 - 1. assign V703072 = V579980 - 1. assign V017553 = V131479 + 1. assign V349914 = V230381 + 1. assign V806569 = V771585 - 1. assign V069918 = V215564. assign V342323 = V477730 - 1. assign V794666 = V912876 + 1. assign V429889 = V173143 + 1. assign V604844 = V353197. assign V341440 = V468178. assign V811895 = V437788 - 1. assign V077248 = V442086. assign V384540 = V696958 - 1. assign V892376 = V349914. assign V238708 = V445328 - 1. assign V703687 = V445328 - 1. assign V348970 = V604844 + 1. assign V296112 = V814281 - 1. assign V986919 = V987547. assign V059248 = V627971. assign V782670 = V703072 - 1. assign V958133 = V468178 - 1. assign V392398 = V739547 - 1. assign V512383 = V468178. assign V728573 = V703072 + 1. assign V341227 = V348970. assign V261858 = V928381 - 1. assign V467577 = V620641. assign V803973 = V627971 - 1. assign V061452 = V482638. assign V161238 = V092278. assign V353197 = V085734 - 1. assign V465689 = V890680 + 1. assign V904960 = V870714 - 1. assign V085734 = V719826 + 1. assign V992957 = V467577 + 1. assign V030849 = 1. assign V852195 = V804116 - 1. assign V860094 = V620641 + 1. assign V928381 = V384540 + 1. assign V083079 = V353197. assign V691615 = V912876 + 1. assign V855878 = V279437 + 1. assign V731726 = V811895. assign V903417 = V268481. assign V507332 = V188972. assign V926247 = V477730. assign V439777 = V341440. assign V886962 = V713832 + 1. assign V477730 = V279437 - 1. assign V241756 = V384417 + 1. assign V945217 = V520815. assign V714220 = V268481 + 1. assign V739547 = V860094 - 1. assign V188972 = V958041 - 1. assign V222190 = V030849 - 1. assign V696958 = V279437. assign V521115 = V620641 + 1. assign V619029 = V059248. assign V544987 = V620641 - 1. assign V107238 = V579980. assign V771484 = V482638 - 1. assign V708779 = V311116 - 1. assign V354697 = V268707 - 1. assign V594835 = V085734 + 1. assign V170476 = V173143. assign V484698 = V604844 - 1. assign V468178 = V429889. assign V639925 = V719492 + 1. assign V158147 = V794666. assign V921031 = V080990 + 1. assign V337644 = V439777 - 1. assign V627971 = V739547 + 1. assign V311116 = V634048 - 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 V579980 = V468178 + 1. assign V470533 = V230381 + 1. assign V808868 = V342323 - 1. assign V167129 = V477730 - 1. assign V173143 = V230381 + 1. assign V670788 = V467577 + 1. assign V437788 = V620641 + 1. assign V804116 = V209425 - 1. assign V133809 = V296112 + 1. assign V912876 = V348970. assign V555481 = V457281. assign V890680 = V092278. assign V573720 = V268707 + 1. assign V811585 = V604844 + 1. assign V059604 = V158147. assign V032740 = V059248. assign V230381 = V719826. assign V244029 = V482638 + 1. assign V713832 = V691615 - 1. assign V321165 = V926247 - 1. assign V888273 = V547570 - 1. assign V893879 = V904960 + 1. assign V676754 = V244029 - 1. assign V085255 = V437788. assign V458612 = V806569 - 1. assign V623914 = V852195 + 1. assign V666585 = V544987 + 1. assign V870714 = V467577. assign V131479 = V429889 + 1. assign V676150 = V342323 - 1. assign V722207 = V963234 + 1. assign V814281 = V348970. assign V016646 = V986919 - 1. assign V648994 = V811895 - 1. assign V898296 = V579980. assign V308911 = V092278 - 1. assign V784045 = V467577. assign V681827 = V342323 - 1. assign V560662 = V349914 + 1. assign V279953 = V083079. assign V452569 = V392398. assign V381528 = V814281 - 1. assign V782390 = V133809 - 1. assign V312929 = V764387 - 1. assign V459177 = V696958 + 1. assign V442086 = V392398. assign V342758 = V348970 + 1. assign V721575 = V279437 + 1. assign V987547 = V061452. assign V089099 = V604844. assign V698579 = V573720. assign V471618 = V713832 - 1. assign V092278 = V576402. assign V516714 = V092278. assign V758233 = V806569. assign V576402 = V928381 - 1. assign V417587 = V952269. assign V520815 = V992957. assign V209425 = V860094 + 1. assign V021334 = V381528. assign V339044 = V952269 - 1. assign V226497 = V019369 - 1. assign V800113 = V855878 - 1. assign V719826 = V620641 + 1. assign V963234 = V804116 - 1. assign V783789 = V158147. assign V634048 = V804116. assign V496777 = V467577. assign V514672 = V244029 - 1. assign V268481 = V384540 - 1. assign V402950 = V713832. assign V215564 = V579980 + 1. assign V547570 = V482638 + 1. assign V118969 = V698579 - 1. assign V823213 = V696958 + 1. assign V860603 = V230381 - 1. assign V482638 = V544987. assign V356344 = V514672 + 1. assign V445328 = V230381 - 1. assign V279437 = V512984 - 1. assign V474609 = V576402. assign V764387 = V634048 - 1. assign V019369 = V703687 - 1. assign V457281 = V477730 + 1. assign V645496 = V085734 - 1. assign V874255 = V806569. assign V384417 = V604844. assign V790845 = V384417 - 1. assign V952269 = V890680 - 1. assign V719492 = V349914 + 1. assign V624316 = V261858. assign V967103 = V544987 - 1. assign V268707 = V452569 - 1. assign V080990 = V627971 - 1. assign V483987 = V852195 + 1. assign V958041 = V634048 + 1. assign V512984 = V719826 + 1. assign V771585 = V437788 - 1. assign V703072 = V579980 - 1. assign V017553 = V131479 + 1. assign V349914 = V230381 + 1. assign V806569 = V771585 - 1. assign V069918 = V215564. assign V342323 = V477730 - 1. assign V794666 = V912876 + 1. assign V429889 = V173143 + 1. assign V604844 = V353197. assign V341440 = V468178. assign V811895 = V437788 - 1. assign V077248 = V442086. assign V384540 = V696958 - 1. assign V892376 = V349914. assign V238708 = V445328 - 1. assign V703687 = V445328 - 1. assign V348970 = V604844 + 1. assign V296112 = V814281 - 1. assign V986919 = V987547. assign V059248 = V627971. assign V782670 = V703072 - 1. assign V958133 = V468178 - 1. assign V392398 = V739547 - 1. assign V512383 = V468178. assign V728573 = V703072 + 1. assign V341227 = V348970. assign V261858 = V928381 - 1. assign V467577 = V620641. assign V803973 = V627971 - 1. assign V061452 = V482638. assign V161238 = V092278. assign V353197 = V085734 - 1. assign V465689 = V890680 + 1. assign V904960 = V870714 - 1. assign V085734 = V719826 + 1. assign V992957 = V467577 + 1. assign V030849 = 1. assign V852195 = V804116 - 1. assign V860094 = V620641 + 1. assign V928381 = V384540 + 1. assign V083079 = V353197. assign V691615 = V912876 + 1. assign V855878 = V279437 + 1. assign V731726 = V811895. assign V903417 = V268481. assign V507332 = V188972. assign V926247 = V477730. assign V439777 = V341440. assign V886962 = V713832 + 1. assign V477730 = V279437 - 1. assign V241756 = V384417 + 1. assign V945217 = V520815. assign V714220 = V268481 + 1. assign V739547 = V860094 - 1. assign V188972 = V958041 - 1. assign V222190 = V030849 - 1. assign V696958 = V279437. assign V521115 = V620641 + 1. assign V619029 = V059248. assign V544987 = V620641 - 1. assign V107238 = V579980. assign V771484 = V482638 - 1. assign V708779 = V311116 - 1. assign V354697 = V268707 - 1. assign V594835 = V085734 + 1. assign V170476 = V173143. assign V484698 = V604844 - 1. assign V468178 = V429889. assign V639925 = V719492 + 1. assign V158147 = V794666. assign V921031 = V080990 + 1. assign V337644 = V439777 - 1. assign V627971 = V739547 + 1. assign V311116 = V634048 - 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):\nV030849 = 1;\n\nFrom these direct assignment(s), we have: \nV222190 = V030849 - 1 = 1 - 1 =0;\nNo other variables can be derived from V222190;\nNo other variables can be derived from V030849;\n\nNow we have done all the calculations. Derived variables are:\nV030849 = 1;\nV222190 = 0;\n\nNow we have finished this problem. ANSWER:\nV030849\n", "role": "assistant" } ]

[ "V702419" ]

[ { "content": "<context>\nassign V658502 = V461863 - 1. assign V612192 = V284805 - 1. assign V861847 = V093252 + 1. assign V284805 = V567231. assign V666993 = V567231 + 1. assign V412273 = V461863. assign V308748 = V022603. assign V494627 = V489437 + 1. assign V194070 = V986158 - 1. assign V422945 = V350850 + 1. assign V204165 = V589434 - 1. assign V504265 = V822478 + 1. assign V461863 = V308748 + 1. assign V020221 = V127950. assign V112401 = V579255 - 1. assign V897208 = V160229 - 1. assign V359947 = V938649 - 1. assign V630856 = V986158. assign V951952 = V593088 + 1. assign V151635 = V643448 + 1. assign V237109 = V395383 + 1. assign V306461 = V150636 - 1. assign V230760 = V466666 - 1. assign V404111 = V749736 - 1. assign V481920 = V956500 + 1. assign V024905 = V371213 + 1. assign V164338 = V359947. assign V055536 = V268937 + 1. assign V105619 = V666993. assign V952929 = V350850 + 1. assign V143525 = V763806 - 1. assign V523956 = V481920. assign V886780 = V280162. assign V944781 = V170085 + 1. assign V093252 = V111611 - 1. assign V022421 = V803182 + 1. assign V733530 = V971989 - 1. assign V389394 = V481920 + 1. assign V247809 = V284805 + 1. assign V395383 = V523956. assign V741216 = V410411 + 1. assign V334254 = V090601. assign V087966 = V649775 + 1. assign V280162 = V494627 + 1. assign V618422 = V111611. assign V475344 = V983781 - 1. assign V479505 = V494627 - 1. assign V708919 = V648919 - 1. assign V538907 = V791413 + 1. assign V589434 = V659350. assign V896516 = V379382. assign V365017 = V876290 - 1. assign V820049 = V022603 - 1. assign V602493 = V643448. assign V876290 = V280162 + 1. assign V588636 = V690573 - 1. assign V579255 = V504265 + 1. assign V574954 = V567231 + 1. assign V649775 = V648919 - 1. assign V111611 = V481920 - 1. assign V371213 = V708919 - 1. assign V682302 = V694972 + 1. assign V664486 = V537237 + 1. assign V691884 = V338696 - 1. assign V022603 = V690573 + 1. assign V764770 = V708638. assign V283210 = V284805 + 1. assign V342440 = V118118. assign V466666 = V425420 + 1. assign V659350 = V301830. assign V995725 = V537237. assign V334114 = V690573. assign V127950 = V022421 - 1. assign V064235 = V425420 - 1. assign V489437 = V690573 + 1. assign V090601 = V881668. assign V237129 = V422009 - 1. assign V791413 = V886313. assign V822478 = V690573 + 1. assign V619930 = V280162. assign V011722 = V308748 + 1. assign V649589 = V112401 + 1. assign V426540 = V301830 + 1. assign V516991 = V588636 - 1. assign V931306 = V666993. assign V350850 = V951952 - 1. assign V008429 = V334114 + 1. assign V983781 = V567231 - 1. assign V708638 = V592631 + 1. assign V021143 = V426540 + 1. assign V231235 = V148834. assign V287035 = V708919 - 1. assign V779975 = V117371 + 1. assign V537237 = V334114 + 1. assign V122218 = V508976 - 1. assign V341599 = V592631 + 1. assign V862079 = V110665 - 1. assign V143714 = V810448 - 1. assign V401981 = V886313. assign V118118 = V111611. assign V567231 = V593088. assign V117371 = V690573 + 1. assign V663482 = V379382 - 1. assign V961892 = V567231 - 1. assign V021630 = V881668 - 1. assign V597224 = V461863 + 1. assign V160366 = V121161 + 1. assign V342140 = V489437 - 1. assign V002335 = V160229 - 1. assign V749736 = V022421 - 1. assign V150636 = V658502 + 1. assign V338696 = V008429 - 1. assign V422009 = V690573 + 1. assign V148834 = V822478 - 1. assign V763806 = V308748. assign V881668 = V567231. assign V886313 = V475344 + 1. assign V702419 = 9. assign V257972 = V002335. assign V508976 = V896516 - 1. assign V911124 = V110665 - 1. assign V252131 = V886313 - 1. assign V475491 = V504265. assign V175137 = V763806 - 1. assign V956500 = V983781 - 1. assign V170085 = V011722 + 1. assign V649454 = V702419 - 1. assign V301830 = V050821. assign V050821 = V983781 - 1. assign V279242 = V708638 - 1. assign V592631 = V567231 + 1. assign V183677 = V690573 - 1. assign V971989 = V537237. assign V643448 = V592631. assign V268937 = V350850 - 1. assign V204043 = V592631. assign V986158 = V886313. assign V114135 = V666993 - 1. assign V179131 = V791413 - 1. assign V121161 = V592631 + 1. assign V810448 = V983781 - 1. assign V245030 = V944781 - 1. assign V320879 = V022421 + 1. assign V379382 = V022603 + 1. assign V110665 = V301830 + 1. assign V801490 = V708638 - 1. assign V694972 = V589434 - 1. assign V009656 = V050821 - 1. assign V317247 = V592631. assign V189466 = V308748 + 1. assign V068684 = V666993 + 1. assign V425420 = V183677 - 1. assign V690573 = V567231 - 1. assign V648919 = V822478 + 1. assign V372206 = V507799 + 1. assign V507799 = V951952. assign V160229 = V666993. assign V803182 = V379382 + 1. assign V474247 = V537237. assign V800556 = V284805 + 1. assign V625305 = V881668 + 1. assign V600938 = V592631 + 1. assign V682167 = V861847. assign V288987 = V763806 + 1. assign V467749 = V664486 - 1. assign V639237 = V371213 + 1. assign V391222 = V956500 - 1. assign V938649 = V643448 - 1. assign V410411 = V110665 - 1. assign V655501 = V956500 + 1. assign V124298 = V822478 + 1. assign V464278 = V150636 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V658502 = V461863 - 1. assign V612192 = V284805 - 1. assign V861847 = V093252 + 1. assign V284805 = V567231. assign V666993 = V567231 + 1. assign V412273 = V461863. assign V308748 = V022603. assign V494627 = V489437 + 1. assign V194070 = V986158 - 1. assign V422945 = V350850 + 1. assign V204165 = V589434 - 1. assign V504265 = V822478 + 1. assign V461863 = V308748 + 1. assign V020221 = V127950. assign V112401 = V579255 - 1. assign V897208 = V160229 - 1. assign V359947 = V938649 - 1. assign V630856 = V986158. assign V951952 = V593088 + 1. assign V151635 = V643448 + 1. assign V237109 = V395383 + 1. assign V306461 = V150636 - 1. assign V230760 = V466666 - 1. assign V404111 = V749736 - 1. assign V481920 = V956500 + 1. assign V024905 = V371213 + 1. assign V164338 = V359947. assign V055536 = V268937 + 1. assign V105619 = V666993. assign V952929 = V350850 + 1. assign V143525 = V763806 - 1. assign V523956 = V481920. assign V886780 = V280162. assign V944781 = V170085 + 1. assign V093252 = V111611 - 1. assign V022421 = V803182 + 1. assign V733530 = V971989 - 1. assign V389394 = V481920 + 1. assign V247809 = V284805 + 1. assign V395383 = V523956. assign V741216 = V410411 + 1. assign V334254 = V090601. assign V087966 = V649775 + 1. assign V280162 = V494627 + 1. assign V618422 = V111611. assign V475344 = V983781 - 1. assign V479505 = V494627 - 1. assign V708919 = V648919 - 1. assign V538907 = V791413 + 1. assign V589434 = V659350. assign V896516 = V379382. assign V365017 = V876290 - 1. assign V820049 = V022603 - 1. assign V602493 = V643448. assign V876290 = V280162 + 1. assign V588636 = V690573 - 1. assign V579255 = V504265 + 1. assign V574954 = V567231 + 1. assign V649775 = V648919 - 1. assign V111611 = V481920 - 1. assign V371213 = V708919 - 1. assign V682302 = V694972 + 1. assign V664486 = V537237 + 1. assign V691884 = V338696 - 1. assign V022603 = V690573 + 1. assign V764770 = V708638. assign V283210 = V284805 + 1. assign V342440 = V118118. assign V466666 = V425420 + 1. assign V659350 = V301830. assign V995725 = V537237. assign V334114 = V690573. assign V127950 = V022421 - 1. assign V064235 = V425420 - 1. assign V489437 = V690573 + 1. assign V090601 = V881668. assign V237129 = V422009 - 1. assign V791413 = V886313. assign V822478 = V690573 + 1. assign V619930 = V280162. assign V011722 = V308748 + 1. assign V649589 = V112401 + 1. assign V426540 = V301830 + 1. assign V516991 = V588636 - 1. assign V931306 = V666993. assign V350850 = V951952 - 1. assign V008429 = V334114 + 1. assign V983781 = V567231 - 1. assign V708638 = V592631 + 1. assign V021143 = V426540 + 1. assign V231235 = V148834. assign V287035 = V708919 - 1. assign V779975 = V117371 + 1. assign V537237 = V334114 + 1. assign V122218 = V508976 - 1. assign V341599 = V592631 + 1. assign V862079 = V110665 - 1. assign V143714 = V810448 - 1. assign V401981 = V886313. assign V118118 = V111611. assign V567231 = V593088. assign V117371 = V690573 + 1. assign V663482 = V379382 - 1. assign V961892 = V567231 - 1. assign V021630 = V881668 - 1. assign V597224 = V461863 + 1. assign V160366 = V121161 + 1. assign V342140 = V489437 - 1. assign V002335 = V160229 - 1. assign V749736 = V022421 - 1. assign V150636 = V658502 + 1. assign V338696 = V008429 - 1. assign V422009 = V690573 + 1. assign V148834 = V822478 - 1. assign V763806 = V308748. assign V881668 = V567231. assign V886313 = V475344 + 1. assign V702419 = 9. assign V257972 = V002335. assign V508976 = V896516 - 1. assign V911124 = V110665 - 1. assign V252131 = V886313 - 1. assign V475491 = V504265. assign V175137 = V763806 - 1. assign V956500 = V983781 - 1. assign V170085 = V011722 + 1. assign V649454 = V702419 - 1. assign V301830 = V050821. assign V050821 = V983781 - 1. assign V279242 = V708638 - 1. assign V592631 = V567231 + 1. assign V183677 = V690573 - 1. assign V971989 = V537237. assign V643448 = V592631. assign V268937 = V350850 - 1. assign V204043 = V592631. assign V986158 = V886313. assign V114135 = V666993 - 1. assign V179131 = V791413 - 1. assign V121161 = V592631 + 1. assign V810448 = V983781 - 1. assign V245030 = V944781 - 1. assign V320879 = V022421 + 1. assign V379382 = V022603 + 1. assign V110665 = V301830 + 1. assign V801490 = V708638 - 1. assign V694972 = V589434 - 1. assign V009656 = V050821 - 1. assign V317247 = V592631. assign V189466 = V308748 + 1. assign V068684 = V666993 + 1. assign V425420 = V183677 - 1. assign V690573 = V567231 - 1. assign V648919 = V822478 + 1. assign V372206 = V507799 + 1. assign V507799 = V951952. assign V160229 = V666993. assign V803182 = V379382 + 1. assign V474247 = V537237. assign V800556 = V284805 + 1. assign V625305 = V881668 + 1. assign V600938 = V592631 + 1. assign V682167 = V861847. assign V288987 = V763806 + 1. assign V467749 = V664486 - 1. assign V639237 = V371213 + 1. assign V391222 = V956500 - 1. assign V938649 = V643448 - 1. assign V410411 = V110665 - 1. assign V655501 = V956500 + 1. assign V124298 = V822478 + 1. assign V464278 = V150636 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV702419 = 9;\n\nFrom these direct assignment(s), we have: \nV649454 = V702419 - 1 = 9 - 1 =8;\nNo other variables can be derived from V649454;\nNo other variables can be derived from V702419;\n\nNow we have done all the calculations. Derived variables are:\nV702419 = 9;\nV649454 = 8;\n\nNow we have finished this problem. ANSWER:\nV702419\n", "role": "assistant" } ]

[ "V617392" ]

[ { "content": "<context>\nassign V817047 = V331343 + 1. assign V526515 = V051990 - 1. assign V539538 = V606529. assign V124984 = V137981 + 1. assign V021612 = V816050 - 1. assign V284917 = V598389 - 1. assign V145294 = V704227. assign V961090 = V089483 - 1. assign V244419 = V191186 - 1. assign V617392 = 9. assign V337727 = V475535. assign V668968 = V771399. assign V623420 = V495836 + 1. assign V927239 = V380329. assign V923115 = V049494 - 1. assign V530455 = V471320. assign V880448 = V841793 - 1. assign V581363 = V943450 + 1. assign V948222 = V783538. assign V717747 = V813468. assign V591781 = V299789 + 1. assign V052040 = V857257. assign V218625 = V934133 + 1. assign V173893 = V247502 - 1. assign V699395 = V488035 - 1. assign V495836 = V117375 - 1. assign V366845 = V551010 + 1. assign V481341 = V920540 - 1. assign V603607 = V606529. assign V077031 = V481341. assign V117375 = V120944 + 1. assign V555615 = V816090 - 1. assign V360826 = V398537. assign V896675 = V475535. assign V783538 = V145294 - 1. assign V137981 = V682308. assign V247502 = V416070. assign V950099 = V259774 + 1. assign V488035 = V598389. assign V108901 = V400905 - 1. assign V728268 = V494912. assign V117126 = V909258 - 1. assign V049207 = V618449. assign V934133 = V416070 + 1. assign V270813 = V617392 + 1. assign V598389 = V247250 - 1. assign V029421 = V816090 - 1. assign V007889 = V816090 + 1. assign V618449 = V638814 + 1. assign V494912 = V862421 + 1. assign V035313 = V450450 + 1. assign V302496 = V783538 - 1. assign V103665 = V857257 + 1. assign V822336 = V676255. assign V551010 = V061257 + 1. assign V803911 = V093969 - 1. assign V450450 = V606529 + 1. assign V730500 = V555615. assign V057050 = V006062 - 1. assign V299789 = V235873 + 1. assign V943450 = V952737 - 1. assign V059854 = V518448 + 1. assign V380159 = V413469 - 1. assign V928682 = V259774 - 1. assign V023110 = V948222 - 1. assign V562619 = V861288. assign V280668 = V259774 + 1. assign V813468 = V551010. assign V862421 = V682308 + 1. assign V089483 = V704227 - 1. assign V638814 = V606529. assign V746548 = V380329 - 1. assign V218799 = V847236 - 1. assign V125185 = V771399. assign V785173 = V450450 - 1. assign V701141 = V247250 - 1. assign V773899 = V783538 - 1. assign V471106 = V606529 - 1. assign V684107 = V948222 - 1. assign V826721 = V416070 + 1. assign V707555 = V816090. assign V909258 = V862421. assign V105420 = V471106 - 1. assign V682308 = V783538. assign V841793 = V816090. assign V491703 = V771399 - 1. assign V158422 = V416070. assign V816090 = V471106 - 1. assign V861288 = V007889 - 1. assign V959401 = V927239. assign V398537 = V518448 + 1. assign V518448 = V598389 - 1. assign V257085 = V049494 + 1. assign V952737 = V049494 - 1. assign V795835 = V500119. assign V991150 = V847236. assign V644460 = V985767 - 1. assign V763581 = V398537 - 1. assign V331343 = V218799 + 1. assign V847236 = V923115 - 1. assign V259774 = V857257 + 1. assign V118440 = V247250. assign V296111 = V103665. assign V191186 = V077031. assign V988690 = V728268 - 1. assign V110356 = V816090. assign V646639 = V299789. assign V803441 = V923115 + 1. assign V701658 = V824633 - 1. assign V381650 = V764185. assign V752609 = V145294. assign V093969 = V247250 - 1. assign V544497 = V717747. assign V471320 = V416070 - 1. assign V764185 = V471106 + 1. assign V452564 = V021916 - 1. assign V530323 = V822336 + 1. assign V214365 = V021916. assign V920540 = V638814 + 1. assign V061257 = V481341 + 1. assign V816050 = V110356. assign V136015 = V413469. assign V676255 = V618449 + 1. assign V413469 = V471106 + 1. assign V235318 = V380159. assign V338640 = V052040. assign V606529 = V500119 - 1. assign V108112 = V247502 - 1. assign V704227 = V920540 + 1. assign V246541 = V461132 - 1. assign V550354 = V927239. assign V771399 = V603607 - 1. assign V049494 = V638814. assign V967398 = V337727. assign V400905 = V923115 - 1. assign V222141 = V051990. assign V688928 = V003542. assign V768792 = V049207 - 1. assign V620700 = V120944 + 1. assign V274285 = V603607. assign V021215 = V006062. assign V661440 = V210788. assign V120944 = V475535. assign V260440 = V551010 + 1. assign V051990 = V337727 + 1. assign V380329 = V380159. assign V384239 = V795835 + 1. assign V175615 = V861288 - 1. assign V235873 = V923115. assign V857257 = V049494. assign V824633 = V118440 + 1. assign V638964 = V581363 + 1. assign V985767 = V785173 + 1. assign V006062 = V247250 + 1. assign V232642 = V764185. assign V876698 = V803911 - 1. assign V886489 = V961090 - 1. assign V211592 = V923115 + 1. assign V461132 = V093969 - 1. assign V003542 = V337727. assign V247250 = V413469 - 1. assign V021916 = V380329 + 1. assign V442213 = V049494. assign V791415 = V598389 - 1. assign V475535 = V638814. assign V962025 = V682308 + 1. assign V159490 = V638814. assign V248227 = V530323 - 1. assign V529571 = V274285. assign V210788 = V950099. assign V416070 = V481341 - 1. assign V119556 = V539538.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V817047 = V331343 + 1. assign V526515 = V051990 - 1. assign V539538 = V606529. assign V124984 = V137981 + 1. assign V021612 = V816050 - 1. assign V284917 = V598389 - 1. assign V145294 = V704227. assign V961090 = V089483 - 1. assign V244419 = V191186 - 1. assign V617392 = 9. assign V337727 = V475535. assign V668968 = V771399. assign V623420 = V495836 + 1. assign V927239 = V380329. assign V923115 = V049494 - 1. assign V530455 = V471320. assign V880448 = V841793 - 1. assign V581363 = V943450 + 1. assign V948222 = V783538. assign V717747 = V813468. assign V591781 = V299789 + 1. assign V052040 = V857257. assign V218625 = V934133 + 1. assign V173893 = V247502 - 1. assign V699395 = V488035 - 1. assign V495836 = V117375 - 1. assign V366845 = V551010 + 1. assign V481341 = V920540 - 1. assign V603607 = V606529. assign V077031 = V481341. assign V117375 = V120944 + 1. assign V555615 = V816090 - 1. assign V360826 = V398537. assign V896675 = V475535. assign V783538 = V145294 - 1. assign V137981 = V682308. assign V247502 = V416070. assign V950099 = V259774 + 1. assign V488035 = V598389. assign V108901 = V400905 - 1. assign V728268 = V494912. assign V117126 = V909258 - 1. assign V049207 = V618449. assign V934133 = V416070 + 1. assign V270813 = V617392 + 1. assign V598389 = V247250 - 1. assign V029421 = V816090 - 1. assign V007889 = V816090 + 1. assign V618449 = V638814 + 1. assign V494912 = V862421 + 1. assign V035313 = V450450 + 1. assign V302496 = V783538 - 1. assign V103665 = V857257 + 1. assign V822336 = V676255. assign V551010 = V061257 + 1. assign V803911 = V093969 - 1. assign V450450 = V606529 + 1. assign V730500 = V555615. assign V057050 = V006062 - 1. assign V299789 = V235873 + 1. assign V943450 = V952737 - 1. assign V059854 = V518448 + 1. assign V380159 = V413469 - 1. assign V928682 = V259774 - 1. assign V023110 = V948222 - 1. assign V562619 = V861288. assign V280668 = V259774 + 1. assign V813468 = V551010. assign V862421 = V682308 + 1. assign V089483 = V704227 - 1. assign V638814 = V606529. assign V746548 = V380329 - 1. assign V218799 = V847236 - 1. assign V125185 = V771399. assign V785173 = V450450 - 1. assign V701141 = V247250 - 1. assign V773899 = V783538 - 1. assign V471106 = V606529 - 1. assign V684107 = V948222 - 1. assign V826721 = V416070 + 1. assign V707555 = V816090. assign V909258 = V862421. assign V105420 = V471106 - 1. assign V682308 = V783538. assign V841793 = V816090. assign V491703 = V771399 - 1. assign V158422 = V416070. assign V816090 = V471106 - 1. assign V861288 = V007889 - 1. assign V959401 = V927239. assign V398537 = V518448 + 1. assign V518448 = V598389 - 1. assign V257085 = V049494 + 1. assign V952737 = V049494 - 1. assign V795835 = V500119. assign V991150 = V847236. assign V644460 = V985767 - 1. assign V763581 = V398537 - 1. assign V331343 = V218799 + 1. assign V847236 = V923115 - 1. assign V259774 = V857257 + 1. assign V118440 = V247250. assign V296111 = V103665. assign V191186 = V077031. assign V988690 = V728268 - 1. assign V110356 = V816090. assign V646639 = V299789. assign V803441 = V923115 + 1. assign V701658 = V824633 - 1. assign V381650 = V764185. assign V752609 = V145294. assign V093969 = V247250 - 1. assign V544497 = V717747. assign V471320 = V416070 - 1. assign V764185 = V471106 + 1. assign V452564 = V021916 - 1. assign V530323 = V822336 + 1. assign V214365 = V021916. assign V920540 = V638814 + 1. assign V061257 = V481341 + 1. assign V816050 = V110356. assign V136015 = V413469. assign V676255 = V618449 + 1. assign V413469 = V471106 + 1. assign V235318 = V380159. assign V338640 = V052040. assign V606529 = V500119 - 1. assign V108112 = V247502 - 1. assign V704227 = V920540 + 1. assign V246541 = V461132 - 1. assign V550354 = V927239. assign V771399 = V603607 - 1. assign V049494 = V638814. assign V967398 = V337727. assign V400905 = V923115 - 1. assign V222141 = V051990. assign V688928 = V003542. assign V768792 = V049207 - 1. assign V620700 = V120944 + 1. assign V274285 = V603607. assign V021215 = V006062. assign V661440 = V210788. assign V120944 = V475535. assign V260440 = V551010 + 1. assign V051990 = V337727 + 1. assign V380329 = V380159. assign V384239 = V795835 + 1. assign V175615 = V861288 - 1. assign V235873 = V923115. assign V857257 = V049494. assign V824633 = V118440 + 1. assign V638964 = V581363 + 1. assign V985767 = V785173 + 1. assign V006062 = V247250 + 1. assign V232642 = V764185. assign V876698 = V803911 - 1. assign V886489 = V961090 - 1. assign V211592 = V923115 + 1. assign V461132 = V093969 - 1. assign V003542 = V337727. assign V247250 = V413469 - 1. assign V021916 = V380329 + 1. assign V442213 = V049494. assign V791415 = V598389 - 1. assign V475535 = V638814. assign V962025 = V682308 + 1. assign V159490 = V638814. assign V248227 = V530323 - 1. assign V529571 = V274285. assign V210788 = V950099. assign V416070 = V481341 - 1. assign V119556 = V539538.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV617392 = 9;\n\nFrom these direct assignment(s), we have: \nV270813 = V617392 + 1 = 9 + 1 =10;\nNo other variables can be derived from V270813;\nNo other variables can be derived from V617392;\n\nNow we have done all the calculations. Derived variables are:\nV617392 = 9;\nV270813 = 10;\n\nNow we have finished this problem. ANSWER:\nV617392\n", "role": "assistant" } ]

[ "V880044", "V770426" ]

[ { "content": "<context>\nassign V236505 = V104065. assign V912189 = V167459. assign V340736 = V656108 + 1. assign V023909 = V087506. assign V577037 = V335991. assign V087506 = V690874. assign V525523 = V529348 - 1. assign V415708 = V422965. assign V729595 = V340736. assign V388019 = V824624 + 1. assign V252053 = V851596. assign V093957 = V379812 - 1. assign V866781 = V750427. assign V651801 = V104065 + 1. assign V288054 = V808076 + 1. assign V199555 = V073141 + 1. assign V076466 = V750427 - 1. assign V585442 = V788873. assign V228263 = V154037 - 1. assign V496828 = V242053 - 1. assign V422965 = V236505 - 1. assign V476661 = V249282. assign V249282 = V329733 - 1. assign V140654 = V812814 - 1. assign V167459 = V370231 + 1. assign V457031 = V607396 + 1. assign V788873 = V210347 - 1. assign V390398 = V910050 + 1. assign V852912 = V352366. assign V824624 = V892281 + 1. assign V308373 = V575860 + 1. assign V854846 = V482766 + 1. assign V812814 = V803606. assign V210347 = V957742 - 1. assign V626832 = V249282 + 1. assign V126619 = V482766 + 1. assign V358558 = V352366 - 1. assign V707121 = V566551 - 1. assign V078712 = V252921 - 1. assign V650456 = V822575 + 1. assign V337844 = V335991 + 1. assign V856643 = V686303 + 1. assign V614377 = V529348 + 1. assign V474767 = V093957 - 1. assign V537148 = V340736 + 1. assign V753593 = V388019 - 1. assign V350325 = V626384 - 1. assign V768968 = V729595 - 1. assign V808076 = V788873 - 1. assign V547619 = V841114 + 1. assign V837835 = V389319 - 1. assign V557196 = V370231 + 1. assign V880044 = 7. assign V260043 = V461921 + 1. assign V742415 = V329733 + 1. assign V434561 = V283835 - 1. assign V907176 = V812814. assign V690874 = V461921 + 1. assign V242053 = V750427. assign V851596 = V742415. assign V349323 = V498324. assign V461921 = V911392 - 1. assign V283835 = V412240. assign V273389 = V143496. assign V306525 = V236505 - 1. assign V957742 = V941442 - 1. assign V180997 = V768968 - 1. assign V352366 = V154037 + 1. assign V803606 = V352366 - 1. assign V837301 = V937417. assign V380251 = V476661. assign V112248 = V401805 + 1. assign V401805 = V126619. assign V791299 = V476661 - 1. assign V980625 = V123683 + 1. assign V252921 = V358558. assign V686303 = V073141 - 1. assign V588049 = V575860. assign V919647 = V925717 + 1. assign V098643 = V910050 - 1. assign V244429 = V167459 + 1. assign V121600 = V808658. assign V801667 = V101581 + 1. assign V268237 = V837835 + 1. assign V525153 = V941442. assign V626384 = V824624 + 1. assign V339944 = V687326 - 1. assign V590918 = V673044 + 1. assign V417285 = V808076. assign V886740 = V417202. assign V687326 = V575860 - 1. assign V808658 = V841114 + 1. assign V103230 = V104065 - 1. assign V123683 = V525153 + 1. assign V110188 = V252053 + 1. assign V480084 = V210347 - 1. assign V001359 = V547619. assign V925717 = V690874 + 1. assign V911392 = V143496 + 1. assign V910050 = V340736 + 1. assign V293970 = V547619 + 1. assign V594168 = V101581 + 1. assign V036828 = V822575 + 1. assign V482766 = V104065 + 1. assign V941442 = V476661. assign V903719 = V001359 + 1. assign V413364 = V249282. assign V335991 = V422965 + 1. assign V530090 = V614377 + 1. assign V520044 = V340736 + 1. assign V937417 = V417202. assign V633895 = V656108. assign V903322 = V339944. assign V891011 = V588049 + 1. assign V787095 = V575860 + 1. assign V834493 = V412240 + 1. assign V546781 = V461921. assign V046702 = V143496 - 1. assign V607396 = V892281 + 1. assign V104065 = V529348. assign V584006 = V575860. assign V370231 = V298753 + 1. assign V337780 = V143496 + 1. assign V412240 = V566551 + 1. assign V417202 = V822575 - 1. assign V361090 = V199555. assign V656108 = V476661 - 1. assign V955181 = V532624. assign V275369 = V134215. assign V715833 = V594168. assign V073141 = V476661 - 1. assign V766604 = V389319 + 1. assign V389319 = V791299 + 1. assign V673044 = V349323. assign V521635 = V892281 - 1. assign V403514 = V529348. assign V379812 = V742415 + 1. assign V736928 = V788873 + 1. assign V248471 = V520044 - 1. assign V877503 = V275369. assign V672846 = V912189 + 1. assign V101581 = V707121 + 1. assign V566551 = V298753 - 1. assign V619733 = V001359 + 1. assign V575860 = V228263 - 1. assign V723573 = V854846. assign V841114 = V791299 - 1. assign V822575 = V104065 + 1. assign V529348 = V476661. assign V892281 = V651801 + 1. assign V306387 = V656108. assign V262779 = V715833 - 1. assign V410950 = V766604. assign V707230 = V379812 + 1. assign V498324 = V001359. assign V003039 = V910050 + 1. assign V298753 = V822575 - 1. assign V770917 = V750427. assign V750427 = V352366 + 1. assign V475765 = V199555 - 1. assign V581386 = V001359 + 1. assign V806004 = V547619 + 1. assign V770426 = V880044. assign V644583 = V210347. assign V754209 = V871964 - 1. assign V031443 = V389319 + 1. assign V134215 = V093957 + 1. assign V154037 = V791299 - 1. assign V175512 = V415708 + 1. assign V532624 = V461921 + 1. assign V143496 = V651801 + 1. assign V871964 = V228263 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V236505 = V104065. assign V912189 = V167459. assign V340736 = V656108 + 1. assign V023909 = V087506. assign V577037 = V335991. assign V087506 = V690874. assign V525523 = V529348 - 1. assign V415708 = V422965. assign V729595 = V340736. assign V388019 = V824624 + 1. assign V252053 = V851596. assign V093957 = V379812 - 1. assign V866781 = V750427. assign V651801 = V104065 + 1. assign V288054 = V808076 + 1. assign V199555 = V073141 + 1. assign V076466 = V750427 - 1. assign V585442 = V788873. assign V228263 = V154037 - 1. assign V496828 = V242053 - 1. assign V422965 = V236505 - 1. assign V476661 = V249282. assign V249282 = V329733 - 1. assign V140654 = V812814 - 1. assign V167459 = V370231 + 1. assign V457031 = V607396 + 1. assign V788873 = V210347 - 1. assign V390398 = V910050 + 1. assign V852912 = V352366. assign V824624 = V892281 + 1. assign V308373 = V575860 + 1. assign V854846 = V482766 + 1. assign V812814 = V803606. assign V210347 = V957742 - 1. assign V626832 = V249282 + 1. assign V126619 = V482766 + 1. assign V358558 = V352366 - 1. assign V707121 = V566551 - 1. assign V078712 = V252921 - 1. assign V650456 = V822575 + 1. assign V337844 = V335991 + 1. assign V856643 = V686303 + 1. assign V614377 = V529348 + 1. assign V474767 = V093957 - 1. assign V537148 = V340736 + 1. assign V753593 = V388019 - 1. assign V350325 = V626384 - 1. assign V768968 = V729595 - 1. assign V808076 = V788873 - 1. assign V547619 = V841114 + 1. assign V837835 = V389319 - 1. assign V557196 = V370231 + 1. assign V880044 = 7. assign V260043 = V461921 + 1. assign V742415 = V329733 + 1. assign V434561 = V283835 - 1. assign V907176 = V812814. assign V690874 = V461921 + 1. assign V242053 = V750427. assign V851596 = V742415. assign V349323 = V498324. assign V461921 = V911392 - 1. assign V283835 = V412240. assign V273389 = V143496. assign V306525 = V236505 - 1. assign V957742 = V941442 - 1. assign V180997 = V768968 - 1. assign V352366 = V154037 + 1. assign V803606 = V352366 - 1. assign V837301 = V937417. assign V380251 = V476661. assign V112248 = V401805 + 1. assign V401805 = V126619. assign V791299 = V476661 - 1. assign V980625 = V123683 + 1. assign V252921 = V358558. assign V686303 = V073141 - 1. assign V588049 = V575860. assign V919647 = V925717 + 1. assign V098643 = V910050 - 1. assign V244429 = V167459 + 1. assign V121600 = V808658. assign V801667 = V101581 + 1. assign V268237 = V837835 + 1. assign V525153 = V941442. assign V626384 = V824624 + 1. assign V339944 = V687326 - 1. assign V590918 = V673044 + 1. assign V417285 = V808076. assign V886740 = V417202. assign V687326 = V575860 - 1. assign V808658 = V841114 + 1. assign V103230 = V104065 - 1. assign V123683 = V525153 + 1. assign V110188 = V252053 + 1. assign V480084 = V210347 - 1. assign V001359 = V547619. assign V925717 = V690874 + 1. assign V911392 = V143496 + 1. assign V910050 = V340736 + 1. assign V293970 = V547619 + 1. assign V594168 = V101581 + 1. assign V036828 = V822575 + 1. assign V482766 = V104065 + 1. assign V941442 = V476661. assign V903719 = V001359 + 1. assign V413364 = V249282. assign V335991 = V422965 + 1. assign V530090 = V614377 + 1. assign V520044 = V340736 + 1. assign V937417 = V417202. assign V633895 = V656108. assign V903322 = V339944. assign V891011 = V588049 + 1. assign V787095 = V575860 + 1. assign V834493 = V412240 + 1. assign V546781 = V461921. assign V046702 = V143496 - 1. assign V607396 = V892281 + 1. assign V104065 = V529348. assign V584006 = V575860. assign V370231 = V298753 + 1. assign V337780 = V143496 + 1. assign V412240 = V566551 + 1. assign V417202 = V822575 - 1. assign V361090 = V199555. assign V656108 = V476661 - 1. assign V955181 = V532624. assign V275369 = V134215. assign V715833 = V594168. assign V073141 = V476661 - 1. assign V766604 = V389319 + 1. assign V389319 = V791299 + 1. assign V673044 = V349323. assign V521635 = V892281 - 1. assign V403514 = V529348. assign V379812 = V742415 + 1. assign V736928 = V788873 + 1. assign V248471 = V520044 - 1. assign V877503 = V275369. assign V672846 = V912189 + 1. assign V101581 = V707121 + 1. assign V566551 = V298753 - 1. assign V619733 = V001359 + 1. assign V575860 = V228263 - 1. assign V723573 = V854846. assign V841114 = V791299 - 1. assign V822575 = V104065 + 1. assign V529348 = V476661. assign V892281 = V651801 + 1. assign V306387 = V656108. assign V262779 = V715833 - 1. assign V410950 = V766604. assign V707230 = V379812 + 1. assign V498324 = V001359. assign V003039 = V910050 + 1. assign V298753 = V822575 - 1. assign V770917 = V750427. assign V750427 = V352366 + 1. assign V475765 = V199555 - 1. assign V581386 = V001359 + 1. assign V806004 = V547619 + 1. assign V770426 = V880044. assign V644583 = V210347. assign V754209 = V871964 - 1. assign V031443 = V389319 + 1. assign V134215 = V093957 + 1. assign V154037 = V791299 - 1. assign V175512 = V415708 + 1. assign V532624 = V461921 + 1. assign V143496 = V651801 + 1. assign V871964 = V228263 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV880044 = 7;\n\nFrom these direct assignment(s), we have: \nV770426 = V880044 = 7;\nNo other variables can be derived from V770426;\nNo other variables can be derived from V880044;\n\nNow we have done all the calculations. Derived variables are:\nV880044 = 7;\nV770426 = 7;\n\nNow we have finished this problem. ANSWER:\nV880044, V770426\n", "role": "assistant" } ]

[ "V385256" ]

[ { "content": "<context>\nassign V685808 = V399196. assign V384893 = V399196 + 1. assign V365978 = V955499. assign V957871 = V253047 + 1. assign V099693 = V788785 + 1. assign V064065 = V719088 + 1. assign V851845 = V112844 + 1. assign V240842 = V109973. assign V234029 = V351008. assign V417628 = V037600. assign V292947 = V845012. assign V959253 = V574494 + 1. assign V312111 = V770001. assign V962931 = V414844 - 1. assign V538897 = V959253 - 1. assign V385256 = 2. assign V480054 = V192609. assign V372856 = V384893 - 1. assign V391437 = V685808 - 1. assign V002033 = V705512 - 1. assign V903346 = V375555 - 1. assign V595836 = V675660. assign V184365 = V112844 - 1. assign V790321 = V326633 - 1. assign V566979 = V546699 - 1. assign V175320 = V162083 - 1. assign V734839 = V705512 + 1. assign V850210 = V719088 - 1. assign V026682 = V408244 + 1. assign V021754 = V959020 + 1. assign V476517 = V743649 - 1. assign V116279 = V646163 + 1. assign V743649 = V957871. assign V551936 = V112844 - 1. assign V760499 = V659989 - 1. assign V426005 = V877762 - 1. assign V112844 = V633536 + 1. assign V058476 = V217155 - 1. assign V793384 = V675660 - 1. assign V224338 = V659421. assign V072410 = V506761 + 1. assign V463836 = V098154 + 1. assign V770001 = V761118 + 1. assign V895461 = V845012 + 1. assign V752225 = V039519 - 1. assign V224690 = V274885 + 1. assign V367514 = V463836 + 1. assign V646163 = V351008. assign V277243 = V851845 - 1. assign V819022 = V725903. assign V248670 = V633536. assign V252013 = V175320 - 1. assign V528331 = V192609 - 1. assign V867211 = V058476. assign V021735 = V385256 + 1. assign V248582 = V959253. assign V026042 = V253047 + 1. assign V005473 = V019845 + 1. assign V456333 = V743649 + 1. assign V217155 = V788785 + 1. assign V298705 = V037600 + 1. assign V009786 = V039519 - 1. assign V399196 = V788785 - 1. assign V589067 = V850210 + 1. assign V651474 = V480054. assign V840130 = V633536 - 1. assign V560305 = V414844 + 1. assign V877762 = V705512 + 1. assign V955499 = V217155 - 1. assign V613801 = V895461 + 1. assign V760510 = V013410. assign V101633 = V041827 - 1. assign V192609 = V633536. assign V845012 = V037600 + 1. assign V524988 = V480054. assign V110707 = V551936 + 1. assign V098154 = V574494 + 1. assign V982411 = V408244 - 1. assign V637270 = V459947 - 1. assign V761118 = V646163 - 1. assign V311567 = V351008 + 1. assign V967326 = V288749 - 1. assign V759043 = V216704. assign V449289 = V087846 - 1. assign V031829 = V384893. assign V907902 = V414844. assign V573706 = V633536 - 1. assign V207456 = V456825. assign V633536 = V850210 + 1. assign V109973 = V098154 - 1. assign V351008 = V384893. assign V288749 = V463836. assign V725903 = V857333 + 1. assign V274885 = V719088 + 1. assign V408244 = V845012. assign V012308 = V240842 - 1. assign V023187 = V988912 - 1. assign V395399 = V506761 - 1. assign V104551 = V685808. assign V944320 = V988912 - 1. assign V039519 = V351008. assign V973816 = V311567 - 1. assign V087846 = V002033. assign V435646 = V184365. assign V338796 = V017109 + 1. assign V518811 = V029426 + 1. assign V511069 = V340885 + 1. assign V607083 = V845012 + 1. assign V506761 = V414844 + 1. assign V857333 = V031115 - 1. assign V675660 = V338796. assign V546699 = V338796. assign V404984 = V767698 + 1. assign V019845 = V416252 - 1. assign V371794 = V551936 - 1. assign V253047 = V633536 - 1. assign V327427 = V659421 - 1. assign V130993 = V253047 - 1. assign V659989 = V957871. assign V031115 = V685808. assign V911191 = V425968 - 1. assign V414844 = V253047 - 1. assign V005225 = V825005. assign V034188 = V404984 + 1. assign V017109 = V391437 + 1. assign V162083 = V391437. assign V855832 = V845012. assign V406002 = V659989 - 1. assign V751924 = V877762. assign V880088 = V790321 - 1. assign V761585 = V646163 - 1. assign V287861 = V098154. assign V013410 = V651474 - 1. assign V029426 = V851845 + 1. assign V705512 = V719088 + 1. assign V192013 = V761118 - 1. assign V348446 = V217155 + 1. assign V416252 = V098154 + 1. assign V456825 = V955499. assign V693332 = V130993. assign V524940 = V907902 + 1. assign V551195 = V087846 + 1. assign V237110 = V855832. assign V185395 = V104551. assign V725008 = V506761 + 1. assign V553262 = V104551. assign V425968 = V002033 + 1. assign V768044 = V311567. assign V935711 = V659989. assign V988912 = V192609 + 1. assign V825005 = V216704 + 1. assign V216704 = V528331. assign V659421 = V311567 - 1. assign V105202 = V459947. assign V613410 = V793384 - 1. assign V424409 = V340885. assign V959020 = V253047. assign V929979 = V029426. assign V818874 = V659421. assign V788785 = V719088. assign V375555 = V850210 + 1. assign V574494 = V414844. assign V995446 = V551936. assign V767698 = V274885 + 1. assign V716565 = V224690 + 1. assign V326633 = V253047 - 1. assign V037600 = V253047 + 1. assign V776054 = V675660 - 1. assign V041827 = V962931. assign V340885 = V607083 - 1. assign V459947 = V039519 + 1. assign V102918 = V312111.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V685808 = V399196. assign V384893 = V399196 + 1. assign V365978 = V955499. assign V957871 = V253047 + 1. assign V099693 = V788785 + 1. assign V064065 = V719088 + 1. assign V851845 = V112844 + 1. assign V240842 = V109973. assign V234029 = V351008. assign V417628 = V037600. assign V292947 = V845012. assign V959253 = V574494 + 1. assign V312111 = V770001. assign V962931 = V414844 - 1. assign V538897 = V959253 - 1. assign V385256 = 2. assign V480054 = V192609. assign V372856 = V384893 - 1. assign V391437 = V685808 - 1. assign V002033 = V705512 - 1. assign V903346 = V375555 - 1. assign V595836 = V675660. assign V184365 = V112844 - 1. assign V790321 = V326633 - 1. assign V566979 = V546699 - 1. assign V175320 = V162083 - 1. assign V734839 = V705512 + 1. assign V850210 = V719088 - 1. assign V026682 = V408244 + 1. assign V021754 = V959020 + 1. assign V476517 = V743649 - 1. assign V116279 = V646163 + 1. assign V743649 = V957871. assign V551936 = V112844 - 1. assign V760499 = V659989 - 1. assign V426005 = V877762 - 1. assign V112844 = V633536 + 1. assign V058476 = V217155 - 1. assign V793384 = V675660 - 1. assign V224338 = V659421. assign V072410 = V506761 + 1. assign V463836 = V098154 + 1. assign V770001 = V761118 + 1. assign V895461 = V845012 + 1. assign V752225 = V039519 - 1. assign V224690 = V274885 + 1. assign V367514 = V463836 + 1. assign V646163 = V351008. assign V277243 = V851845 - 1. assign V819022 = V725903. assign V248670 = V633536. assign V252013 = V175320 - 1. assign V528331 = V192609 - 1. assign V867211 = V058476. assign V021735 = V385256 + 1. assign V248582 = V959253. assign V026042 = V253047 + 1. assign V005473 = V019845 + 1. assign V456333 = V743649 + 1. assign V217155 = V788785 + 1. assign V298705 = V037600 + 1. assign V009786 = V039519 - 1. assign V399196 = V788785 - 1. assign V589067 = V850210 + 1. assign V651474 = V480054. assign V840130 = V633536 - 1. assign V560305 = V414844 + 1. assign V877762 = V705512 + 1. assign V955499 = V217155 - 1. assign V613801 = V895461 + 1. assign V760510 = V013410. assign V101633 = V041827 - 1. assign V192609 = V633536. assign V845012 = V037600 + 1. assign V524988 = V480054. assign V110707 = V551936 + 1. assign V098154 = V574494 + 1. assign V982411 = V408244 - 1. assign V637270 = V459947 - 1. assign V761118 = V646163 - 1. assign V311567 = V351008 + 1. assign V967326 = V288749 - 1. assign V759043 = V216704. assign V449289 = V087846 - 1. assign V031829 = V384893. assign V907902 = V414844. assign V573706 = V633536 - 1. assign V207456 = V456825. assign V633536 = V850210 + 1. assign V109973 = V098154 - 1. assign V351008 = V384893. assign V288749 = V463836. assign V725903 = V857333 + 1. assign V274885 = V719088 + 1. assign V408244 = V845012. assign V012308 = V240842 - 1. assign V023187 = V988912 - 1. assign V395399 = V506761 - 1. assign V104551 = V685808. assign V944320 = V988912 - 1. assign V039519 = V351008. assign V973816 = V311567 - 1. assign V087846 = V002033. assign V435646 = V184365. assign V338796 = V017109 + 1. assign V518811 = V029426 + 1. assign V511069 = V340885 + 1. assign V607083 = V845012 + 1. assign V506761 = V414844 + 1. assign V857333 = V031115 - 1. assign V675660 = V338796. assign V546699 = V338796. assign V404984 = V767698 + 1. assign V019845 = V416252 - 1. assign V371794 = V551936 - 1. assign V253047 = V633536 - 1. assign V327427 = V659421 - 1. assign V130993 = V253047 - 1. assign V659989 = V957871. assign V031115 = V685808. assign V911191 = V425968 - 1. assign V414844 = V253047 - 1. assign V005225 = V825005. assign V034188 = V404984 + 1. assign V017109 = V391437 + 1. assign V162083 = V391437. assign V855832 = V845012. assign V406002 = V659989 - 1. assign V751924 = V877762. assign V880088 = V790321 - 1. assign V761585 = V646163 - 1. assign V287861 = V098154. assign V013410 = V651474 - 1. assign V029426 = V851845 + 1. assign V705512 = V719088 + 1. assign V192013 = V761118 - 1. assign V348446 = V217155 + 1. assign V416252 = V098154 + 1. assign V456825 = V955499. assign V693332 = V130993. assign V524940 = V907902 + 1. assign V551195 = V087846 + 1. assign V237110 = V855832. assign V185395 = V104551. assign V725008 = V506761 + 1. assign V553262 = V104551. assign V425968 = V002033 + 1. assign V768044 = V311567. assign V935711 = V659989. assign V988912 = V192609 + 1. assign V825005 = V216704 + 1. assign V216704 = V528331. assign V659421 = V311567 - 1. assign V105202 = V459947. assign V613410 = V793384 - 1. assign V424409 = V340885. assign V959020 = V253047. assign V929979 = V029426. assign V818874 = V659421. assign V788785 = V719088. assign V375555 = V850210 + 1. assign V574494 = V414844. assign V995446 = V551936. assign V767698 = V274885 + 1. assign V716565 = V224690 + 1. assign V326633 = V253047 - 1. assign V037600 = V253047 + 1. assign V776054 = V675660 - 1. assign V041827 = V962931. assign V340885 = V607083 - 1. assign V459947 = V039519 + 1. assign V102918 = V312111.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV385256 = 2;\n\nFrom these direct assignment(s), we have: \nV021735 = V385256 + 1 = 2 + 1 =3;\nNo other variables can be derived from V021735;\nNo other variables can be derived from V385256;\n\nNow we have done all the calculations. Derived variables are:\nV385256 = 2;\nV021735 = 3;\n\nNow we have finished this problem. ANSWER:\nV385256\n", "role": "assistant" } ]

[ "V378946", "V895818" ]

[ { "content": "<context>\nassign V223544 = V144352. assign V565041 = V862805 + 1. assign V065396 = V496685 - 1. assign V297301 = V846362 - 1. assign V652242 = V918264. assign V642955 = V398387 - 1. assign V235106 = V009565 - 1. assign V798512 = V303132. assign V889030 = V690754 - 1. assign V980878 = V871277. assign V982037 = V741214. assign V398387 = V787915 + 1. assign V986971 = V690754 + 1. assign V353619 = V942070 + 1. assign V716831 = V605106 + 1. assign V453063 = V942070 + 1. assign V907305 = V368495 - 1. assign V839208 = V149467. assign V706735 = V546578. assign V739033 = V332739 - 1. assign V998429 = V339573 + 1. assign V935811 = V043324 + 1. assign V563941 = V857211 + 1. assign V216686 = V391614 - 1. assign V675600 = V809679. assign V018124 = V871277 + 1. assign V040928 = V000742. assign V728210 = V289481 - 1. assign V087950 = V622701. assign V362183 = V942070 - 1. assign V555744 = V809679 - 1. assign V000742 = V656274 - 1. assign V069545 = V087950. assign V435795 = V862805 + 1. assign V151862 = V453063 - 1. assign V902613 = V398387 - 1. assign V690310 = V963335. assign V758248 = V622701 + 1. assign V175717 = V486171 - 1. assign V264897 = V405414. assign V335677 = V126394 + 1. assign V126718 = V798512 - 1. assign V622701 = V877451 - 1. assign V735524 = V018124. assign V129439 = V217317 + 1. assign V226635 = V075996. assign V244497 = V752637. assign V432037 = V650180 - 1. assign V787422 = V465301 - 1. assign V671867 = V214446 - 1. assign V228606 = V024574 + 1. assign V690754 = V873387 - 1. assign V794848 = V452009 - 1. assign V442574 = V435795 - 1. assign V241845 = V129439 + 1. assign V936885 = V043324. assign V332739 = V873387 + 1. assign V272936 = V339573 - 1. assign V468967 = V739033 - 1. assign V496685 = V189923 + 1. assign V149467 = V047605 - 1. assign V462653 = V196276 - 1. assign V650180 = V997174. assign V913474 = V407762 - 1. assign V526707 = V873387 + 1. assign V534921 = V725206 + 1. assign V213002 = V820546 + 1. assign V792659 = V192722 + 1. assign V417381 = V217317 + 1. assign V214446 = V871277 + 1. assign V207407 = V873387. assign V407762 = V189923. assign V075996 = V942070. assign V050209 = V000742 + 1. assign V452009 = V675600. assign V196276 = V787915 + 1. assign V465301 = V303132. assign V672741 = V523219. assign V627688 = V997174. assign V877451 = V189923. assign V194000 = V226635. assign V603896 = V526707 + 1. assign V846362 = V362183. assign V507905 = V942070 - 1. assign V379365 = V018124 + 1. assign V712132 = V982037 + 1. assign V583022 = V271827 - 1. assign V488668 = V712132 - 1. assign V853671 = V398387 + 1. assign V997174 = V820546 - 1. assign V645826 = V584850 + 1. assign V773605 = V627688 - 1. assign V873387 = V877451 - 1. assign V175244 = V339573 - 1. assign V752637 = V918264 - 1. assign V895818 = V378946. assign V372888 = V207407. assign V584850 = V690754 + 1. assign V768840 = V266577 - 1. assign V942070 = V126394 - 1. assign V551851 = V126394. assign V024574 = V902613 - 1. assign V573325 = V689914 - 1. assign V787915 = V126394 - 1. assign V553788 = V986971 + 1. assign V523219 = V871277 - 1. assign V266577 = V192722 - 1. assign V426812 = V194000. assign V886184 = V018124 - 1. assign V358045 = V009565 - 1. assign V174986 = V425108 - 1. assign V834034 = V741214 - 1. assign V743659 = V982037 - 1. assign V378946 = 6. assign V244076 = V372888. assign V339573 = V696540 + 1. assign V303132 = V696540 + 1. assign V857211 = V462653 - 1. assign V267396 = V728210 + 1. assign V130627 = V407762. assign V032131 = V488668 - 1. assign V741214 = V942070. assign V422989 = V465301 + 1. assign V208457 = V735524 - 1. assign V809679 = V407762 + 1. assign V271827 = V226635. assign V820546 = V741214 - 1. assign V330201 = V471004 - 1. assign V689914 = V877451 - 1. assign V009565 = V453063 + 1. assign V862805 = V741214. assign V405414 = V857211. assign V871942 = V189923. assign V605106 = V642955 + 1. assign V289481 = V009565. assign V935791 = V435795 - 1. assign V014627 = V129439. assign V673657 = V372888 + 1. assign V656274 = V622701 - 1. assign V533870 = V673657 + 1. assign V144352 = V773605 - 1. assign V696540 = V192722 + 1. assign V883696 = V690754 + 1. assign V391614 = V846362. assign V936353 = V942070. assign V486171 = V488668 - 1. assign V918264 = V353619 + 1. assign V300166 = V032131. assign V106311 = V936353 + 1. assign V990410 = V442574. assign V091600 = V877451 + 1. assign V043324 = V335677. assign V824981 = V214446 - 1. assign V189923 = V126394. assign V775318 = V834034 + 1. assign V217317 = V043324 - 1. assign V144612 = V871942 + 1. assign V135334 = V106311. assign V562333 = V266577 + 1. assign V963335 = V877451 - 1. assign V368495 = V009565 - 1. assign V047605 = V266577 - 1. assign V425108 = V339573. assign V040427 = V652242. assign V725206 = V775318. assign V519358 = V526707. assign V073189 = V918264 - 1. assign V223732 = V673657. assign V871277 = V689914. assign V471004 = V442574. assign V192722 = V335677. assign V546578 = V368495 + 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 V223544 = V144352. assign V565041 = V862805 + 1. assign V065396 = V496685 - 1. assign V297301 = V846362 - 1. assign V652242 = V918264. assign V642955 = V398387 - 1. assign V235106 = V009565 - 1. assign V798512 = V303132. assign V889030 = V690754 - 1. assign V980878 = V871277. assign V982037 = V741214. assign V398387 = V787915 + 1. assign V986971 = V690754 + 1. assign V353619 = V942070 + 1. assign V716831 = V605106 + 1. assign V453063 = V942070 + 1. assign V907305 = V368495 - 1. assign V839208 = V149467. assign V706735 = V546578. assign V739033 = V332739 - 1. assign V998429 = V339573 + 1. assign V935811 = V043324 + 1. assign V563941 = V857211 + 1. assign V216686 = V391614 - 1. assign V675600 = V809679. assign V018124 = V871277 + 1. assign V040928 = V000742. assign V728210 = V289481 - 1. assign V087950 = V622701. assign V362183 = V942070 - 1. assign V555744 = V809679 - 1. assign V000742 = V656274 - 1. assign V069545 = V087950. assign V435795 = V862805 + 1. assign V151862 = V453063 - 1. assign V902613 = V398387 - 1. assign V690310 = V963335. assign V758248 = V622701 + 1. assign V175717 = V486171 - 1. assign V264897 = V405414. assign V335677 = V126394 + 1. assign V126718 = V798512 - 1. assign V622701 = V877451 - 1. assign V735524 = V018124. assign V129439 = V217317 + 1. assign V226635 = V075996. assign V244497 = V752637. assign V432037 = V650180 - 1. assign V787422 = V465301 - 1. assign V671867 = V214446 - 1. assign V228606 = V024574 + 1. assign V690754 = V873387 - 1. assign V794848 = V452009 - 1. assign V442574 = V435795 - 1. assign V241845 = V129439 + 1. assign V936885 = V043324. assign V332739 = V873387 + 1. assign V272936 = V339573 - 1. assign V468967 = V739033 - 1. assign V496685 = V189923 + 1. assign V149467 = V047605 - 1. assign V462653 = V196276 - 1. assign V650180 = V997174. assign V913474 = V407762 - 1. assign V526707 = V873387 + 1. assign V534921 = V725206 + 1. assign V213002 = V820546 + 1. assign V792659 = V192722 + 1. assign V417381 = V217317 + 1. assign V214446 = V871277 + 1. assign V207407 = V873387. assign V407762 = V189923. assign V075996 = V942070. assign V050209 = V000742 + 1. assign V452009 = V675600. assign V196276 = V787915 + 1. assign V465301 = V303132. assign V672741 = V523219. assign V627688 = V997174. assign V877451 = V189923. assign V194000 = V226635. assign V603896 = V526707 + 1. assign V846362 = V362183. assign V507905 = V942070 - 1. assign V379365 = V018124 + 1. assign V712132 = V982037 + 1. assign V583022 = V271827 - 1. assign V488668 = V712132 - 1. assign V853671 = V398387 + 1. assign V997174 = V820546 - 1. assign V645826 = V584850 + 1. assign V773605 = V627688 - 1. assign V873387 = V877451 - 1. assign V175244 = V339573 - 1. assign V752637 = V918264 - 1. assign V895818 = V378946. assign V372888 = V207407. assign V584850 = V690754 + 1. assign V768840 = V266577 - 1. assign V942070 = V126394 - 1. assign V551851 = V126394. assign V024574 = V902613 - 1. assign V573325 = V689914 - 1. assign V787915 = V126394 - 1. assign V553788 = V986971 + 1. assign V523219 = V871277 - 1. assign V266577 = V192722 - 1. assign V426812 = V194000. assign V886184 = V018124 - 1. assign V358045 = V009565 - 1. assign V174986 = V425108 - 1. assign V834034 = V741214 - 1. assign V743659 = V982037 - 1. assign V378946 = 6. assign V244076 = V372888. assign V339573 = V696540 + 1. assign V303132 = V696540 + 1. assign V857211 = V462653 - 1. assign V267396 = V728210 + 1. assign V130627 = V407762. assign V032131 = V488668 - 1. assign V741214 = V942070. assign V422989 = V465301 + 1. assign V208457 = V735524 - 1. assign V809679 = V407762 + 1. assign V271827 = V226635. assign V820546 = V741214 - 1. assign V330201 = V471004 - 1. assign V689914 = V877451 - 1. assign V009565 = V453063 + 1. assign V862805 = V741214. assign V405414 = V857211. assign V871942 = V189923. assign V605106 = V642955 + 1. assign V289481 = V009565. assign V935791 = V435795 - 1. assign V014627 = V129439. assign V673657 = V372888 + 1. assign V656274 = V622701 - 1. assign V533870 = V673657 + 1. assign V144352 = V773605 - 1. assign V696540 = V192722 + 1. assign V883696 = V690754 + 1. assign V391614 = V846362. assign V936353 = V942070. assign V486171 = V488668 - 1. assign V918264 = V353619 + 1. assign V300166 = V032131. assign V106311 = V936353 + 1. assign V990410 = V442574. assign V091600 = V877451 + 1. assign V043324 = V335677. assign V824981 = V214446 - 1. assign V189923 = V126394. assign V775318 = V834034 + 1. assign V217317 = V043324 - 1. assign V144612 = V871942 + 1. assign V135334 = V106311. assign V562333 = V266577 + 1. assign V963335 = V877451 - 1. assign V368495 = V009565 - 1. assign V047605 = V266577 - 1. assign V425108 = V339573. assign V040427 = V652242. assign V725206 = V775318. assign V519358 = V526707. assign V073189 = V918264 - 1. assign V223732 = V673657. assign V871277 = V689914. assign V471004 = V442574. assign V192722 = V335677. assign V546578 = V368495 + 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):\nV378946 = 6;\n\nFrom these direct assignment(s), we have: \nV895818 = V378946 = 6;\nNo other variables can be derived from V895818;\nNo other variables can be derived from V378946;\n\nNow we have done all the calculations. Derived variables are:\nV378946 = 6;\nV895818 = 6;\n\nNow we have finished this problem. ANSWER:\nV378946, V895818\n", "role": "assistant" } ]

[ "V826617", "V766009" ]

[ { "content": "<context>\nassign V731666 = V647623 + 1. assign V885762 = V622467 - 1. assign V002339 = V622989 - 1. assign V787920 = V181237. assign V393853 = V079743 + 1. assign V443630 = V288189 - 1. assign V249246 = V530939 + 1. assign V079743 = V956140 - 1. assign V627885 = V288189 - 1. assign V305117 = V393853 + 1. assign V376539 = V956140. assign V487722 = V263065 + 1. assign V915534 = V323159 + 1. assign V501932 = V443630 + 1. assign V350863 = V547762. assign V724227 = V586016 - 1. assign V703277 = V293187 - 1. assign V366523 = V627885 - 1. assign V600962 = V731666 + 1. assign V586016 = V002232. assign V927181 = V699956 + 1. assign V450135 = V497071. assign V609941 = V937194 + 1. assign V217938 = V708174 + 1. assign V530939 = V956140. assign V826617 = 5. assign V158033 = V787920 - 1. assign V827891 = V635771. assign V757975 = V305117 - 1. assign V739000 = V528450. assign V540091 = V787920 - 1. assign V953381 = V181237 + 1. assign V333043 = V119399. assign V885341 = V108911 + 1. assign V304132 = V443630 - 1. assign V709640 = V713574. assign V884718 = V749082. assign V988173 = V288189 + 1. assign V293187 = V528450. assign V534591 = V002339. assign V324528 = V672900. assign V435557 = V251937 - 1. assign V937194 = V530939 - 1. assign V089929 = V555993 + 1. assign V470166 = V079743 - 1. assign V713826 = V956140 - 1. assign V808456 = V530939. assign V956792 = V119399 - 1. assign V919652 = V689215 + 1. assign V196613 = V622500 + 1. assign V927949 = V430396 - 1. assign V488507 = V893414 - 1. assign V688063 = V497071 + 1. assign V413415 = V703277. assign V497207 = V530199 - 1. assign V323159 = V497071. assign V430451 = V376539. assign V989090 = V689215 + 1. assign V470079 = V409723 - 1. assign V896064 = V836468. assign V832384 = V739000 - 1. assign V287114 = V802759. assign V965249 = V927949 - 1. assign V126186 = V937194 + 1. assign V091311 = V547762. assign V868849 = V893414 + 1. assign V101791 = V739000. assign V131435 = V672900 + 1. assign V279990 = V305117 + 1. assign V647623 = V836468. assign V108911 = V836621 + 1. assign V058573 = V148988. assign V836468 = V079743 + 1. assign V846202 = V323159 + 1. assign V315812 = V713574 + 1. assign V002232 = V231176. assign V930403 = V376539 - 1. assign V429103 = V622500 - 1. assign V734360 = V787920. assign V763537 = V393853 + 1. assign V420087 = V432633 - 1. assign V263065 = V085343 - 1. assign V380344 = V965249 + 1. assign V155546 = V263065. assign V288189 = V956140 + 1. assign V259873 = V530939 + 1. assign V635771 = V672900. assign V081985 = V085343 + 1. assign V181237 = V079743 - 1. assign V622989 = V126186 + 1. assign V270371 = V251937. assign V856125 = V937194 + 1. assign V104904 = V731666 + 1. assign V940569 = V647623 - 1. assign V836621 = V802759. assign V270322 = V079743. assign V786045 = V293187. assign V749082 = V530939 - 1. assign V072804 = V561092 + 1. assign V353553 = V382446 - 1. assign V254043 = V552628 - 1. assign V419306 = V369756. assign V119399 = V288189. assign V448722 = V450135 - 1. assign V438897 = V472604. assign V561092 = V956140 + 1. assign V407860 = V688063 - 1. assign V588198 = V540091 + 1. assign V409723 = V927949 - 1. assign V547762 = V393853 - 1. assign V708174 = V647623 + 1. assign V382446 = V148988 - 1. assign V752249 = V956140 - 1. assign V893414 = V739000 - 1. assign V258489 = V893414 - 1. assign V978409 = V104904 - 1. assign V802759 = V647623 + 1. assign V382114 = V885762 - 1. assign V766009 = V826617. assign V585656 = V622467 - 1. assign V180102 = V731666 - 1. assign V432633 = V713574 - 1. assign V355822 = V622500 - 1. assign V191121 = V497071 - 1. assign V699956 = V305117 - 1. assign V347015 = V832384 + 1. assign V251937 = V802759 + 1. assign V024363 = V181237 - 1. assign V619023 = V497071 + 1. assign V530497 = V181237. assign V082563 = V647623 + 1. assign V441256 = V956140 - 1. assign V472604 = V622500 - 1. assign V622467 = V635771 + 1. assign V497071 = V893414 + 1. assign V186799 = V430451 + 1. assign V530199 = V561092. assign V780114 = V622989 + 1. assign V853562 = V713574 - 1. assign V776541 = V555993 + 1. assign V829034 = V231176 + 1. assign V791813 = V409723 + 1. assign V148988 = V937194 + 1. assign V555993 = V868849. assign V270551 = V217938. assign V053456 = V085343 - 1. assign V687759 = V808456. assign V761687 = V470166 - 1. assign V956140 = V528450 - 1. assign V954964 = V108911. assign V085343 = V647623 + 1. assign V552628 = V836468 - 1. assign V392244 = V530497. assign V459665 = V530939. assign V267314 = V079743 + 1. assign V377216 = V315812 + 1. assign V713574 = V148988 + 1. assign V303863 = V763537. assign V430396 = V530939 - 1. assign V689215 = V180102 + 1. assign V324899 = V588198. assign V614523 = V647623. assign V528450 = V672900 - 1. assign V327103 = V836468. assign V672827 = V734360 - 1. assign V003493 = V315812. assign V917948 = V739000. assign V622500 = V530939. assign V536064 = V739000 - 1. assign V231176 = V288189 - 1. assign V732898 = V407860 + 1. assign V369756 = V079743 + 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 V731666 = V647623 + 1. assign V885762 = V622467 - 1. assign V002339 = V622989 - 1. assign V787920 = V181237. assign V393853 = V079743 + 1. assign V443630 = V288189 - 1. assign V249246 = V530939 + 1. assign V079743 = V956140 - 1. assign V627885 = V288189 - 1. assign V305117 = V393853 + 1. assign V376539 = V956140. assign V487722 = V263065 + 1. assign V915534 = V323159 + 1. assign V501932 = V443630 + 1. assign V350863 = V547762. assign V724227 = V586016 - 1. assign V703277 = V293187 - 1. assign V366523 = V627885 - 1. assign V600962 = V731666 + 1. assign V586016 = V002232. assign V927181 = V699956 + 1. assign V450135 = V497071. assign V609941 = V937194 + 1. assign V217938 = V708174 + 1. assign V530939 = V956140. assign V826617 = 5. assign V158033 = V787920 - 1. assign V827891 = V635771. assign V757975 = V305117 - 1. assign V739000 = V528450. assign V540091 = V787920 - 1. assign V953381 = V181237 + 1. assign V333043 = V119399. assign V885341 = V108911 + 1. assign V304132 = V443630 - 1. assign V709640 = V713574. assign V884718 = V749082. assign V988173 = V288189 + 1. assign V293187 = V528450. assign V534591 = V002339. assign V324528 = V672900. assign V435557 = V251937 - 1. assign V937194 = V530939 - 1. assign V089929 = V555993 + 1. assign V470166 = V079743 - 1. assign V713826 = V956140 - 1. assign V808456 = V530939. assign V956792 = V119399 - 1. assign V919652 = V689215 + 1. assign V196613 = V622500 + 1. assign V927949 = V430396 - 1. assign V488507 = V893414 - 1. assign V688063 = V497071 + 1. assign V413415 = V703277. assign V497207 = V530199 - 1. assign V323159 = V497071. assign V430451 = V376539. assign V989090 = V689215 + 1. assign V470079 = V409723 - 1. assign V896064 = V836468. assign V832384 = V739000 - 1. assign V287114 = V802759. assign V965249 = V927949 - 1. assign V126186 = V937194 + 1. assign V091311 = V547762. assign V868849 = V893414 + 1. assign V101791 = V739000. assign V131435 = V672900 + 1. assign V279990 = V305117 + 1. assign V647623 = V836468. assign V108911 = V836621 + 1. assign V058573 = V148988. assign V836468 = V079743 + 1. assign V846202 = V323159 + 1. assign V315812 = V713574 + 1. assign V002232 = V231176. assign V930403 = V376539 - 1. assign V429103 = V622500 - 1. assign V734360 = V787920. assign V763537 = V393853 + 1. assign V420087 = V432633 - 1. assign V263065 = V085343 - 1. assign V380344 = V965249 + 1. assign V155546 = V263065. assign V288189 = V956140 + 1. assign V259873 = V530939 + 1. assign V635771 = V672900. assign V081985 = V085343 + 1. assign V181237 = V079743 - 1. assign V622989 = V126186 + 1. assign V270371 = V251937. assign V856125 = V937194 + 1. assign V104904 = V731666 + 1. assign V940569 = V647623 - 1. assign V836621 = V802759. assign V270322 = V079743. assign V786045 = V293187. assign V749082 = V530939 - 1. assign V072804 = V561092 + 1. assign V353553 = V382446 - 1. assign V254043 = V552628 - 1. assign V419306 = V369756. assign V119399 = V288189. assign V448722 = V450135 - 1. assign V438897 = V472604. assign V561092 = V956140 + 1. assign V407860 = V688063 - 1. assign V588198 = V540091 + 1. assign V409723 = V927949 - 1. assign V547762 = V393853 - 1. assign V708174 = V647623 + 1. assign V382446 = V148988 - 1. assign V752249 = V956140 - 1. assign V893414 = V739000 - 1. assign V258489 = V893414 - 1. assign V978409 = V104904 - 1. assign V802759 = V647623 + 1. assign V382114 = V885762 - 1. assign V766009 = V826617. assign V585656 = V622467 - 1. assign V180102 = V731666 - 1. assign V432633 = V713574 - 1. assign V355822 = V622500 - 1. assign V191121 = V497071 - 1. assign V699956 = V305117 - 1. assign V347015 = V832384 + 1. assign V251937 = V802759 + 1. assign V024363 = V181237 - 1. assign V619023 = V497071 + 1. assign V530497 = V181237. assign V082563 = V647623 + 1. assign V441256 = V956140 - 1. assign V472604 = V622500 - 1. assign V622467 = V635771 + 1. assign V497071 = V893414 + 1. assign V186799 = V430451 + 1. assign V530199 = V561092. assign V780114 = V622989 + 1. assign V853562 = V713574 - 1. assign V776541 = V555993 + 1. assign V829034 = V231176 + 1. assign V791813 = V409723 + 1. assign V148988 = V937194 + 1. assign V555993 = V868849. assign V270551 = V217938. assign V053456 = V085343 - 1. assign V687759 = V808456. assign V761687 = V470166 - 1. assign V956140 = V528450 - 1. assign V954964 = V108911. assign V085343 = V647623 + 1. assign V552628 = V836468 - 1. assign V392244 = V530497. assign V459665 = V530939. assign V267314 = V079743 + 1. assign V377216 = V315812 + 1. assign V713574 = V148988 + 1. assign V303863 = V763537. assign V430396 = V530939 - 1. assign V689215 = V180102 + 1. assign V324899 = V588198. assign V614523 = V647623. assign V528450 = V672900 - 1. assign V327103 = V836468. assign V672827 = V734360 - 1. assign V003493 = V315812. assign V917948 = V739000. assign V622500 = V530939. assign V536064 = V739000 - 1. assign V231176 = V288189 - 1. assign V732898 = V407860 + 1. assign V369756 = V079743 + 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):\nV826617 = 5;\n\nFrom these direct assignment(s), we have: \nV766009 = V826617 = 5;\nNo other variables can be derived from V766009;\nNo other variables can be derived from V826617;\n\nNow we have done all the calculations. Derived variables are:\nV826617 = 5;\nV766009 = 5;\n\nNow we have finished this problem. ANSWER:\nV826617, V766009\n", "role": "assistant" } ]

[ "V597285", "V574508" ]

[ { "content": "<context>\nassign V244971 = V544426 - 1. assign V827421 = V398653 - 1. assign V165930 = V754839 - 1. assign V470889 = V148879. assign V210372 = V256710 + 1. assign V651247 = V435844 + 1. assign V028623 = V823539 - 1. assign V691397 = V754839 + 1. assign V976830 = V635042 + 1. assign V148879 = V222365. assign V350818 = V033067 - 1. assign V360497 = V777140 + 1. assign V259597 = V004011 + 1. assign V592563 = V976830 + 1. assign V066554 = V769113 - 1. assign V024239 = V370184 - 1. assign V964441 = V424399. assign V187452 = V976830. assign V421884 = V581095. assign V398653 = V540628 - 1. assign V597285 = 4. assign V544426 = V769113 + 1. assign V424399 = V187452 + 1. assign V537813 = V947198. assign V867962 = V066554 + 1. assign V754839 = V857936. assign V004011 = V325455 + 1. assign V211783 = V915816 - 1. assign V378035 = V823961 + 1. assign V823961 = V632404 - 1. assign V086251 = V823539. assign V310278 = V769113 - 1. assign V762445 = V617201 - 1. assign V540628 = V055894 + 1. assign V856415 = V585867 + 1. assign V823539 = V635042 + 1. assign V632404 = V777140 - 1. assign V660935 = V007427. assign V476400 = V635042 - 1. assign V641987 = V055894 - 1. assign V574508 = V597285. assign V399122 = V007427 + 1. assign V799777 = V540628. assign V297243 = V570192 - 1. assign V581320 = V342272 - 1. assign V980711 = V222365 + 1. assign V472763 = V737995 - 1. assign V763050 = V222365 - 1. assign V734219 = V177998. assign V435844 = V769113 - 1. assign V409307 = V278806. assign V889828 = V823539 - 1. assign V157533 = V737995 - 1. assign V998937 = V777140 - 1. assign V564742 = V789072 + 1. assign V585867 = V553658. assign V278806 = V617201. assign V201727 = V938932 - 1. assign V370184 = V976830. assign V964789 = V715000 - 1. assign V504271 = V857936 - 1. assign V553658 = V221880 - 1. assign V204636 = V421884 - 1. assign V109990 = V915816 + 1. assign V773605 = V553658 - 1. assign V524236 = V581095 - 1. assign V007427 = V769113. assign V568715 = V693789 - 1. assign V789124 = V020526 + 1. assign V911796 = V754839 - 1. assign V570146 = V823539. assign V222365 = V769113 - 1. assign V857936 = V635042 - 1. assign V634507 = V647153 + 1. assign V347241 = V761810. assign V873539 = V325455 - 1. assign V573879 = V651247 - 1. assign V365935 = V857936 - 1. assign V053775 = V342272. assign V390555 = V256710 - 1. assign V826177 = V641987. assign V471299 = V635042 + 1. assign V412926 = V754839 - 1. assign V231453 = V585867 - 1. assign V389432 = V177273 + 1. assign V342272 = V476400. assign V445245 = V342272 - 1. assign V987841 = V823539 + 1. assign V020526 = V365935 - 1. assign V777306 = V715000. assign V221495 = V170348 + 1. assign V885154 = V222365. assign V382039 = V221880. assign V769113 = V976830 + 1. assign V840313 = V540628 - 1. assign V486207 = V310148 + 1. assign V814159 = V325455 + 1. assign V901301 = V938932 - 1. assign V177998 = V693789 + 1. assign V369869 = V777140. assign V470986 = V713531. assign V940507 = V544426. assign V337008 = V777140. assign V761810 = V920442 - 1. assign V274698 = V486207. assign V923251 = V660935 + 1. assign V808144 = V221880. assign V056968 = V148879 - 1. assign V617237 = V737995. assign V923656 = V365935 + 1. assign V834638 = V004011 + 1. assign V715000 = V980711 - 1. assign V915816 = V617201. assign V983151 = V130965. assign V325455 = V808144 + 1. assign V033067 = V544426 + 1. assign V253824 = V976830. assign V920442 = V007427. assign V491267 = V886852 + 1. assign V141830 = V632404 - 1. assign V221880 = V857936. assign V886852 = V134040 + 1. assign V713531 = V210372. assign V177273 = V231453. assign V565527 = V445245 + 1. assign V777140 = V976830. assign V046409 = V222426. assign V407402 = V130965 - 1. assign V669427 = V585867 + 1. assign V409508 = V701522 + 1. assign V551163 = V579577 + 1. assign V493274 = V424399 - 1. assign V088013 = V007427 + 1. assign V391613 = V066554 - 1. assign V939258 = V964441. assign V256710 = V769113. assign V497667 = V544426 + 1. assign V783521 = V055894 - 1. assign V617201 = V808144. assign V737995 = V365935. assign V111912 = V278806 - 1. assign V330629 = V641987 + 1. assign V581095 = V920442 + 1. assign V451751 = V773605. assign V469046 = V055894 - 1. assign V968467 = V055894. assign V579577 = V421884. assign V653972 = V570146 - 1. assign V134040 = V737995 - 1. assign V938932 = V088013. assign V310148 = V231453. assign V829749 = V325455 + 1. assign V647153 = V342272 - 1. assign V910222 = V964441 - 1. assign V570192 = V734219. assign V130965 = V777140 + 1. assign V701522 = V365935 + 1. assign V693789 = V435844 + 1. assign V222426 = V497667. assign V546006 = V310278 + 1. assign V055894 = V635042 + 1. assign V763313 = V370184. assign V789072 = V938932 + 1. assign V755398 = V783521. assign V302845 = V998937 - 1. assign V187445 = V398653. assign V947198 = V565527 + 1. assign V654941 = V004011 - 1. assign V506168 = V382039. assign V170348 = V617201 + 1. assign V596968 = V911796. assign V068544 = V055894.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V244971 = V544426 - 1. assign V827421 = V398653 - 1. assign V165930 = V754839 - 1. assign V470889 = V148879. assign V210372 = V256710 + 1. assign V651247 = V435844 + 1. assign V028623 = V823539 - 1. assign V691397 = V754839 + 1. assign V976830 = V635042 + 1. assign V148879 = V222365. assign V350818 = V033067 - 1. assign V360497 = V777140 + 1. assign V259597 = V004011 + 1. assign V592563 = V976830 + 1. assign V066554 = V769113 - 1. assign V024239 = V370184 - 1. assign V964441 = V424399. assign V187452 = V976830. assign V421884 = V581095. assign V398653 = V540628 - 1. assign V597285 = 4. assign V544426 = V769113 + 1. assign V424399 = V187452 + 1. assign V537813 = V947198. assign V867962 = V066554 + 1. assign V754839 = V857936. assign V004011 = V325455 + 1. assign V211783 = V915816 - 1. assign V378035 = V823961 + 1. assign V823961 = V632404 - 1. assign V086251 = V823539. assign V310278 = V769113 - 1. assign V762445 = V617201 - 1. assign V540628 = V055894 + 1. assign V856415 = V585867 + 1. assign V823539 = V635042 + 1. assign V632404 = V777140 - 1. assign V660935 = V007427. assign V476400 = V635042 - 1. assign V641987 = V055894 - 1. assign V574508 = V597285. assign V399122 = V007427 + 1. assign V799777 = V540628. assign V297243 = V570192 - 1. assign V581320 = V342272 - 1. assign V980711 = V222365 + 1. assign V472763 = V737995 - 1. assign V763050 = V222365 - 1. assign V734219 = V177998. assign V435844 = V769113 - 1. assign V409307 = V278806. assign V889828 = V823539 - 1. assign V157533 = V737995 - 1. assign V998937 = V777140 - 1. assign V564742 = V789072 + 1. assign V585867 = V553658. assign V278806 = V617201. assign V201727 = V938932 - 1. assign V370184 = V976830. assign V964789 = V715000 - 1. assign V504271 = V857936 - 1. assign V553658 = V221880 - 1. assign V204636 = V421884 - 1. assign V109990 = V915816 + 1. assign V773605 = V553658 - 1. assign V524236 = V581095 - 1. assign V007427 = V769113. assign V568715 = V693789 - 1. assign V789124 = V020526 + 1. assign V911796 = V754839 - 1. assign V570146 = V823539. assign V222365 = V769113 - 1. assign V857936 = V635042 - 1. assign V634507 = V647153 + 1. assign V347241 = V761810. assign V873539 = V325455 - 1. assign V573879 = V651247 - 1. assign V365935 = V857936 - 1. assign V053775 = V342272. assign V390555 = V256710 - 1. assign V826177 = V641987. assign V471299 = V635042 + 1. assign V412926 = V754839 - 1. assign V231453 = V585867 - 1. assign V389432 = V177273 + 1. assign V342272 = V476400. assign V445245 = V342272 - 1. assign V987841 = V823539 + 1. assign V020526 = V365935 - 1. assign V777306 = V715000. assign V221495 = V170348 + 1. assign V885154 = V222365. assign V382039 = V221880. assign V769113 = V976830 + 1. assign V840313 = V540628 - 1. assign V486207 = V310148 + 1. assign V814159 = V325455 + 1. assign V901301 = V938932 - 1. assign V177998 = V693789 + 1. assign V369869 = V777140. assign V470986 = V713531. assign V940507 = V544426. assign V337008 = V777140. assign V761810 = V920442 - 1. assign V274698 = V486207. assign V923251 = V660935 + 1. assign V808144 = V221880. assign V056968 = V148879 - 1. assign V617237 = V737995. assign V923656 = V365935 + 1. assign V834638 = V004011 + 1. assign V715000 = V980711 - 1. assign V915816 = V617201. assign V983151 = V130965. assign V325455 = V808144 + 1. assign V033067 = V544426 + 1. assign V253824 = V976830. assign V920442 = V007427. assign V491267 = V886852 + 1. assign V141830 = V632404 - 1. assign V221880 = V857936. assign V886852 = V134040 + 1. assign V713531 = V210372. assign V177273 = V231453. assign V565527 = V445245 + 1. assign V777140 = V976830. assign V046409 = V222426. assign V407402 = V130965 - 1. assign V669427 = V585867 + 1. assign V409508 = V701522 + 1. assign V551163 = V579577 + 1. assign V493274 = V424399 - 1. assign V088013 = V007427 + 1. assign V391613 = V066554 - 1. assign V939258 = V964441. assign V256710 = V769113. assign V497667 = V544426 + 1. assign V783521 = V055894 - 1. assign V617201 = V808144. assign V737995 = V365935. assign V111912 = V278806 - 1. assign V330629 = V641987 + 1. assign V581095 = V920442 + 1. assign V451751 = V773605. assign V469046 = V055894 - 1. assign V968467 = V055894. assign V579577 = V421884. assign V653972 = V570146 - 1. assign V134040 = V737995 - 1. assign V938932 = V088013. assign V310148 = V231453. assign V829749 = V325455 + 1. assign V647153 = V342272 - 1. assign V910222 = V964441 - 1. assign V570192 = V734219. assign V130965 = V777140 + 1. assign V701522 = V365935 + 1. assign V693789 = V435844 + 1. assign V222426 = V497667. assign V546006 = V310278 + 1. assign V055894 = V635042 + 1. assign V763313 = V370184. assign V789072 = V938932 + 1. assign V755398 = V783521. assign V302845 = V998937 - 1. assign V187445 = V398653. assign V947198 = V565527 + 1. assign V654941 = V004011 - 1. assign V506168 = V382039. assign V170348 = V617201 + 1. assign V596968 = V911796. assign V068544 = V055894.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV597285 = 4;\n\nFrom these direct assignment(s), we have: \nV574508 = V597285 = 4;\nNo other variables can be derived from V574508;\nNo other variables can be derived from V597285;\n\nNow we have done all the calculations. Derived variables are:\nV597285 = 4;\nV574508 = 4;\n\nNow we have finished this problem. ANSWER:\nV597285, V574508\n", "role": "assistant" } ]

[ "V060925" ]

[ { "content": "<context>\nassign V600624 = V252555. assign V889412 = V553712. assign V011913 = V356487 - 1. assign V439996 = V506591 + 1. assign V903078 = V532929. assign V506814 = V499220 - 1. assign V160618 = V805201 - 1. assign V370165 = V539274 - 1. assign V617329 = V094519 - 1. assign V941473 = V164928. assign V849898 = V086745 - 1. assign V539274 = V783327 + 1. assign V435205 = V778607 + 1. assign V851447 = V086745 + 1. assign V177477 = V465368 - 1. assign V115164 = V481639 - 1. assign V696030 = V004892 + 1. assign V248512 = V465368. assign V738453 = V506591 + 1. assign V599769 = V001220 - 1. assign V858616 = V589130 - 1. assign V086745 = V841445 + 1. assign V096558 = V807374. assign V911848 = V004892 + 1. assign V273992 = V286872 + 1. assign V674585 = V485324. assign V384924 = V332275 - 1. assign V841445 = V941473. assign V836708 = V825221 - 1. assign V868293 = V901999. assign V094519 = V275902 + 1. assign V428997 = V805201 - 1. assign V129375 = V939428 - 1. assign V338435 = V252555. assign V518374 = V295106 - 1. assign V614705 = V406989 - 1. assign V361225 = V248512 + 1. assign V150767 = V361225. assign V754540 = V334366. assign V746055 = V782967 + 1. assign V156818 = V539274. assign V295975 = V943524. assign V576709 = V893463 + 1. assign V955590 = V361225 + 1. assign V550471 = V941473 + 1. assign V719419 = V640187 - 1. assign V902083 = V177477 + 1. assign V624334 = V881250 + 1. assign V235286 = V585904 + 1. assign V589130 = V836708. assign V362726 = V737394 + 1. assign V143416 = V717166 + 1. assign V893463 = V783327 - 1. assign V847086 = V539274. assign V316549 = V976457 + 1. assign V877242 = V691466. assign V939428 = V941473 + 1. assign V717166 = V252555. assign V336083 = V576709 - 1. assign V112899 = V836708 - 1. assign V901999 = V650257 - 1. assign V585904 = V805201. assign V783327 = V493946 - 1. assign V807560 = V115164 + 1. assign V867820 = V164928. assign V252856 = V903078 - 1. assign V037992 = V235286. assign V067051 = V001220 - 1. assign V556598 = V338435. assign V735946 = V640187 + 1. assign V204839 = V518374. assign V084786 = V400599 - 1. assign V356487 = V585904 + 1. assign V782967 = V943524. assign V750658 = V361225 + 1. assign V124768 = V881250. assign V628190 = V941473 + 1. assign V068710 = V338435 - 1. assign V979935 = V881250 - 1. assign V620237 = V070878 + 1. assign V782370 = 4. assign V564539 = V518374 + 1. assign V866803 = V070878 + 1. assign V573805 = V893463 + 1. assign V683840 = V336083. assign V156592 = V805201 + 1. assign V970431 = V849898. assign V252555 = V493946 + 1. assign V604706 = V004892. assign V666083 = V976457 - 1. assign V627444 = V556598. assign V881250 = V901999 + 1. assign V275902 = V904230 - 1. assign V288018 = V361225 - 1. assign V757154 = V614705 - 1. assign V481639 = V070878 - 1. assign V499220 = V754540. assign V785621 = V439996. assign V875515 = V316549. assign V580908 = V841445 + 1. assign V442606 = V571929. assign V060925 = V782370 + 1. assign V577716 = V252856 + 1. assign V571929 = V904230 + 1. assign V825221 = V493946 - 1. assign V872443 = V164928 - 1. assign V506591 = V836708 - 1. assign V650257 = V400599 + 1. assign V737394 = V295106 - 1. assign V260807 = V737394. assign V532929 = V112899. assign V959066 = V037992 - 1. assign V778607 = V825221 - 1. assign V691466 = V807374 - 1. assign V653437 = V282026. assign V282026 = V004892 - 1. assign V658150 = V384924 - 1. assign V548320 = V518374 + 1. assign V001220 = V754541 - 1. assign V874046 = V539274. assign V204659 = V129375 - 1. assign V852137 = V177477 - 1. assign V904230 = V493946. assign V976457 = V941473 + 1. assign V334366 = V011913. assign V248577 = V783327. assign V843360 = V556598 + 1. assign V406989 = V735946 - 1. assign V903379 = V518374 + 1. assign V143236 = V650257 - 1. assign V286281 = V976457 - 1. assign V988394 = V248577. assign V755316 = V316549 - 1. assign V976121 = V783327 - 1. assign V261993 = V445315 - 1. assign V640187 = V866803 - 1. assign V332275 = V248512. assign V943524 = V086745. assign V465368 = V573805. assign V754541 = V362726. assign V241783 = V750658 + 1. assign V445315 = V439996 + 1. assign V455525 = V156818 - 1. assign V412870 = V275902 - 1. assign V730187 = V400599 - 1. assign V944208 = V841445 - 1. assign V004892 = V836708 + 1. assign V849246 = V640187. assign V070878 = V825221 + 1. assign V883635 = V112899. assign V400599 = V164928. assign V151041 = V241783 - 1. assign V807374 = V248577. assign V286872 = V204839. assign V304284 = V151041 + 1. assign V461386 = V893463 + 1. assign V002261 = V942862 + 1. assign V365192 = V941473. assign V603896 = V696030. assign V577240 = V841445 + 1. assign V485324 = V604706 + 1. assign V295106 = V836708 - 1. assign V942862 = V783327 + 1. assign V234216 = V628190 + 1. assign V805201 = V004892. assign V325727 = V493946 + 1. assign V181344 = V735946 - 1. assign V314099 = V493946. assign V164928 = V783327 + 1. assign V553712 = V316549. assign V462683 = V805201. assign V472524 = V877242 + 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 V600624 = V252555. assign V889412 = V553712. assign V011913 = V356487 - 1. assign V439996 = V506591 + 1. assign V903078 = V532929. assign V506814 = V499220 - 1. assign V160618 = V805201 - 1. assign V370165 = V539274 - 1. assign V617329 = V094519 - 1. assign V941473 = V164928. assign V849898 = V086745 - 1. assign V539274 = V783327 + 1. assign V435205 = V778607 + 1. assign V851447 = V086745 + 1. assign V177477 = V465368 - 1. assign V115164 = V481639 - 1. assign V696030 = V004892 + 1. assign V248512 = V465368. assign V738453 = V506591 + 1. assign V599769 = V001220 - 1. assign V858616 = V589130 - 1. assign V086745 = V841445 + 1. assign V096558 = V807374. assign V911848 = V004892 + 1. assign V273992 = V286872 + 1. assign V674585 = V485324. assign V384924 = V332275 - 1. assign V841445 = V941473. assign V836708 = V825221 - 1. assign V868293 = V901999. assign V094519 = V275902 + 1. assign V428997 = V805201 - 1. assign V129375 = V939428 - 1. assign V338435 = V252555. assign V518374 = V295106 - 1. assign V614705 = V406989 - 1. assign V361225 = V248512 + 1. assign V150767 = V361225. assign V754540 = V334366. assign V746055 = V782967 + 1. assign V156818 = V539274. assign V295975 = V943524. assign V576709 = V893463 + 1. assign V955590 = V361225 + 1. assign V550471 = V941473 + 1. assign V719419 = V640187 - 1. assign V902083 = V177477 + 1. assign V624334 = V881250 + 1. assign V235286 = V585904 + 1. assign V589130 = V836708. assign V362726 = V737394 + 1. assign V143416 = V717166 + 1. assign V893463 = V783327 - 1. assign V847086 = V539274. assign V316549 = V976457 + 1. assign V877242 = V691466. assign V939428 = V941473 + 1. assign V717166 = V252555. assign V336083 = V576709 - 1. assign V112899 = V836708 - 1. assign V901999 = V650257 - 1. assign V585904 = V805201. assign V783327 = V493946 - 1. assign V807560 = V115164 + 1. assign V867820 = V164928. assign V252856 = V903078 - 1. assign V037992 = V235286. assign V067051 = V001220 - 1. assign V556598 = V338435. assign V735946 = V640187 + 1. assign V204839 = V518374. assign V084786 = V400599 - 1. assign V356487 = V585904 + 1. assign V782967 = V943524. assign V750658 = V361225 + 1. assign V124768 = V881250. assign V628190 = V941473 + 1. assign V068710 = V338435 - 1. assign V979935 = V881250 - 1. assign V620237 = V070878 + 1. assign V782370 = 4. assign V564539 = V518374 + 1. assign V866803 = V070878 + 1. assign V573805 = V893463 + 1. assign V683840 = V336083. assign V156592 = V805201 + 1. assign V970431 = V849898. assign V252555 = V493946 + 1. assign V604706 = V004892. assign V666083 = V976457 - 1. assign V627444 = V556598. assign V881250 = V901999 + 1. assign V275902 = V904230 - 1. assign V288018 = V361225 - 1. assign V757154 = V614705 - 1. assign V481639 = V070878 - 1. assign V499220 = V754540. assign V785621 = V439996. assign V875515 = V316549. assign V580908 = V841445 + 1. assign V442606 = V571929. assign V060925 = V782370 + 1. assign V577716 = V252856 + 1. assign V571929 = V904230 + 1. assign V825221 = V493946 - 1. assign V872443 = V164928 - 1. assign V506591 = V836708 - 1. assign V650257 = V400599 + 1. assign V737394 = V295106 - 1. assign V260807 = V737394. assign V532929 = V112899. assign V959066 = V037992 - 1. assign V778607 = V825221 - 1. assign V691466 = V807374 - 1. assign V653437 = V282026. assign V282026 = V004892 - 1. assign V658150 = V384924 - 1. assign V548320 = V518374 + 1. assign V001220 = V754541 - 1. assign V874046 = V539274. assign V204659 = V129375 - 1. assign V852137 = V177477 - 1. assign V904230 = V493946. assign V976457 = V941473 + 1. assign V334366 = V011913. assign V248577 = V783327. assign V843360 = V556598 + 1. assign V406989 = V735946 - 1. assign V903379 = V518374 + 1. assign V143236 = V650257 - 1. assign V286281 = V976457 - 1. assign V988394 = V248577. assign V755316 = V316549 - 1. assign V976121 = V783327 - 1. assign V261993 = V445315 - 1. assign V640187 = V866803 - 1. assign V332275 = V248512. assign V943524 = V086745. assign V465368 = V573805. assign V754541 = V362726. assign V241783 = V750658 + 1. assign V445315 = V439996 + 1. assign V455525 = V156818 - 1. assign V412870 = V275902 - 1. assign V730187 = V400599 - 1. assign V944208 = V841445 - 1. assign V004892 = V836708 + 1. assign V849246 = V640187. assign V070878 = V825221 + 1. assign V883635 = V112899. assign V400599 = V164928. assign V151041 = V241783 - 1. assign V807374 = V248577. assign V286872 = V204839. assign V304284 = V151041 + 1. assign V461386 = V893463 + 1. assign V002261 = V942862 + 1. assign V365192 = V941473. assign V603896 = V696030. assign V577240 = V841445 + 1. assign V485324 = V604706 + 1. assign V295106 = V836708 - 1. assign V942862 = V783327 + 1. assign V234216 = V628190 + 1. assign V805201 = V004892. assign V325727 = V493946 + 1. assign V181344 = V735946 - 1. assign V314099 = V493946. assign V164928 = V783327 + 1. assign V553712 = V316549. assign V462683 = V805201. assign V472524 = V877242 + 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):\nV782370 = 4;\n\nFrom these direct assignment(s), we have: \nV060925 = V782370 + 1 = 4 + 1 =5;\nNo other variables can be derived from V060925;\nNo other variables can be derived from V782370;\n\nNow we have done all the calculations. Derived variables are:\nV782370 = 4;\nV060925 = 5;\n\nNow we have finished this problem. ANSWER:\nV060925\n", "role": "assistant" } ]

[ "V606140" ]

[ { "content": "<context>\nassign V226659 = V819479 + 1. assign V470637 = V749206 - 1. assign V442834 = V558779 + 1. assign V097014 = V727028 + 1. assign V395145 = V216720 - 1. assign V586009 = V727028 + 1. assign V044408 = V951398 + 1. assign V237477 = V184930 - 1. assign V495754 = V984236 - 1. assign V693727 = V658261 - 1. assign V971804 = V893887 + 1. assign V583133 = V733705. assign V533813 = V954484. assign V277229 = V536572 - 1. assign V093996 = V256489 + 1. assign V097781 = V951398. assign V900276 = V711422 + 1. assign V746837 = V509067. assign V637739 = V693727 + 1. assign V153657 = V139612 - 1. assign V833300 = V134935 + 1. assign V932536 = V395145 - 1. assign V057398 = V078886 - 1. assign V204854 = V459148 + 1. assign V327476 = V043769 - 1. assign V954484 = V976530 - 1. assign V032464 = V184930 - 1. assign V184930 = V945888 - 1. assign V711422 = V680988. assign V608826 = V479090. assign V587279 = V327476 - 1. assign V118211 = V237477 + 1. assign V463424 = V216720. assign V871464 = V237477 - 1. assign V858842 = V951398 - 1. assign V256489 = V237477 + 1. assign V658261 = V078886. assign V847721 = V093996 + 1. assign V575329 = V102234 - 1. assign V681961 = V304388 + 1. assign V704249 = V032464 + 1. assign V798720 = V304388 - 1. assign V527404 = V184930. assign V916403 = V584133. assign V642081 = V658261 - 1. assign V402684 = V134935. assign V777554 = V779594. assign V695709 = V134935 - 1. assign V126619 = V639627 + 1. assign V198838 = V102234 + 1. assign V535392 = V400482 + 1. assign V250197 = V216720 - 1. assign V937840 = 0. assign V046015 = V585282 + 1. assign V264951 = V134935 - 1. assign V058932 = V858842. assign V531116 = V858842 - 1. assign V486436 = V078886 - 1. assign V371314 = V076839 + 1. assign V568506 = V565463 + 1. assign V559061 = V749685 + 1. assign V216720 = V945888. assign V392784 = V216720 - 1. assign V305103 = V558779. assign V067725 = V688383 + 1. assign V717616 = V194130. assign V256981 = V330985 + 1. assign V730936 = V263576 + 1. assign V120560 = V075299. assign V749206 = V951398. assign V252956 = V378597. assign V753486 = V509067 + 1. assign V951398 = V893887. assign V776654 = V032464 - 1. assign V139612 = V194130 - 1. assign V075299 = V584133 + 1. assign V106590 = V900276 - 1. assign V304388 = V639627. assign V350786 = V118211. assign V727028 = V118211 - 1. assign V608489 = V134935 + 1. assign V734734 = V565463 + 1. assign V213404 = V479090 + 1. assign V177737 = V986725 + 1. assign V893887 = V216720 - 1. assign V236958 = V102234. assign V749685 = V184930 + 1. assign V456012 = V216720. assign V268662 = V945888. assign V425611 = V951081. assign V076839 = V184930 - 1. assign V238896 = V044408 + 1. assign V019166 = V746837 + 1. assign V499861 = V204854. assign V131059 = V717616. assign V102234 = V565463 + 1. assign V779594 = V478961 - 1. assign V381778 = V371362 + 1. assign V031065 = V078886 - 1. assign V595822 = V409694 - 1. assign V584133 = V263576. assign V043769 = V076839 - 1. assign V890589 = V945888 - 1. assign V169583 = V057398. assign V537846 = V819479 - 1. assign V194130 = V951081. assign V485397 = V558779. assign V406772 = V553360 - 1. assign V321304 = V951081. assign V387755 = V250197 + 1. assign V697796 = V681961. assign V064044 = V216720. assign V569780 = V076839 - 1. assign V459148 = V184930 - 1. assign V692684 = V951081 + 1. assign V375536 = V486436. assign V585282 = V569780. assign V509067 = V951081. assign V506412 = V044408. assign V315011 = V536572 + 1. assign V783247 = V110150 - 1. assign V275398 = V425220 - 1. assign V218572 = V044408 + 1. assign V836715 = V711422. assign V811848 = V615216 - 1. assign V986725 = V893887. assign V945888 = V639627 + 1. assign V056753 = V833300 - 1. assign V330985 = V216720 - 1. assign V553360 = V749685 + 1. assign V271056 = V442834 + 1. assign V733705 = V897459 + 1. assign V824241 = V031065 - 1. assign V615216 = V951081. assign V207285 = V681961. assign V110150 = V304388 - 1. assign V378597 = V194130 - 1. assign V447649 = V976530. assign V107746 = V031065. assign V400482 = V536572 + 1. assign V988628 = V169583 + 1. assign V984236 = V615216 - 1. assign V134935 = V639627. assign V897459 = V118211. assign V522812 = V076839 - 1. assign V976530 = V639627 + 1. assign V263576 = V216720. assign V835853 = V447649. assign V409694 = V951081 + 1. assign V688383 = V330985 - 1. assign V359268 = V730936 - 1. assign V314606 = V559061. assign V951081 = V976530 + 1. assign V479090 = V615216 + 1. assign V592334 = V330985. assign V177113 = V264951 + 1. assign V680988 = V031065. assign V078886 = V216720. assign V425220 = V951398 + 1. assign V724256 = V126619 + 1. assign V478961 = V139612. assign V558779 = V226659. assign V126349 = V568506 + 1. assign V283536 = V798720 + 1. assign V662218 = V509067 + 1. assign V536572 = V717616. assign V565463 = V976530. assign V819479 = V031065 + 1. assign V371362 = V213404. assign V606140 = V937840 + 1. assign V314896 = V057398 + 1. assign V731148 = V509067 + 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 V226659 = V819479 + 1. assign V470637 = V749206 - 1. assign V442834 = V558779 + 1. assign V097014 = V727028 + 1. assign V395145 = V216720 - 1. assign V586009 = V727028 + 1. assign V044408 = V951398 + 1. assign V237477 = V184930 - 1. assign V495754 = V984236 - 1. assign V693727 = V658261 - 1. assign V971804 = V893887 + 1. assign V583133 = V733705. assign V533813 = V954484. assign V277229 = V536572 - 1. assign V093996 = V256489 + 1. assign V097781 = V951398. assign V900276 = V711422 + 1. assign V746837 = V509067. assign V637739 = V693727 + 1. assign V153657 = V139612 - 1. assign V833300 = V134935 + 1. assign V932536 = V395145 - 1. assign V057398 = V078886 - 1. assign V204854 = V459148 + 1. assign V327476 = V043769 - 1. assign V954484 = V976530 - 1. assign V032464 = V184930 - 1. assign V184930 = V945888 - 1. assign V711422 = V680988. assign V608826 = V479090. assign V587279 = V327476 - 1. assign V118211 = V237477 + 1. assign V463424 = V216720. assign V871464 = V237477 - 1. assign V858842 = V951398 - 1. assign V256489 = V237477 + 1. assign V658261 = V078886. assign V847721 = V093996 + 1. assign V575329 = V102234 - 1. assign V681961 = V304388 + 1. assign V704249 = V032464 + 1. assign V798720 = V304388 - 1. assign V527404 = V184930. assign V916403 = V584133. assign V642081 = V658261 - 1. assign V402684 = V134935. assign V777554 = V779594. assign V695709 = V134935 - 1. assign V126619 = V639627 + 1. assign V198838 = V102234 + 1. assign V535392 = V400482 + 1. assign V250197 = V216720 - 1. assign V937840 = 0. assign V046015 = V585282 + 1. assign V264951 = V134935 - 1. assign V058932 = V858842. assign V531116 = V858842 - 1. assign V486436 = V078886 - 1. assign V371314 = V076839 + 1. assign V568506 = V565463 + 1. assign V559061 = V749685 + 1. assign V216720 = V945888. assign V392784 = V216720 - 1. assign V305103 = V558779. assign V067725 = V688383 + 1. assign V717616 = V194130. assign V256981 = V330985 + 1. assign V730936 = V263576 + 1. assign V120560 = V075299. assign V749206 = V951398. assign V252956 = V378597. assign V753486 = V509067 + 1. assign V951398 = V893887. assign V776654 = V032464 - 1. assign V139612 = V194130 - 1. assign V075299 = V584133 + 1. assign V106590 = V900276 - 1. assign V304388 = V639627. assign V350786 = V118211. assign V727028 = V118211 - 1. assign V608489 = V134935 + 1. assign V734734 = V565463 + 1. assign V213404 = V479090 + 1. assign V177737 = V986725 + 1. assign V893887 = V216720 - 1. assign V236958 = V102234. assign V749685 = V184930 + 1. assign V456012 = V216720. assign V268662 = V945888. assign V425611 = V951081. assign V076839 = V184930 - 1. assign V238896 = V044408 + 1. assign V019166 = V746837 + 1. assign V499861 = V204854. assign V131059 = V717616. assign V102234 = V565463 + 1. assign V779594 = V478961 - 1. assign V381778 = V371362 + 1. assign V031065 = V078886 - 1. assign V595822 = V409694 - 1. assign V584133 = V263576. assign V043769 = V076839 - 1. assign V890589 = V945888 - 1. assign V169583 = V057398. assign V537846 = V819479 - 1. assign V194130 = V951081. assign V485397 = V558779. assign V406772 = V553360 - 1. assign V321304 = V951081. assign V387755 = V250197 + 1. assign V697796 = V681961. assign V064044 = V216720. assign V569780 = V076839 - 1. assign V459148 = V184930 - 1. assign V692684 = V951081 + 1. assign V375536 = V486436. assign V585282 = V569780. assign V509067 = V951081. assign V506412 = V044408. assign V315011 = V536572 + 1. assign V783247 = V110150 - 1. assign V275398 = V425220 - 1. assign V218572 = V044408 + 1. assign V836715 = V711422. assign V811848 = V615216 - 1. assign V986725 = V893887. assign V945888 = V639627 + 1. assign V056753 = V833300 - 1. assign V330985 = V216720 - 1. assign V553360 = V749685 + 1. assign V271056 = V442834 + 1. assign V733705 = V897459 + 1. assign V824241 = V031065 - 1. assign V615216 = V951081. assign V207285 = V681961. assign V110150 = V304388 - 1. assign V378597 = V194130 - 1. assign V447649 = V976530. assign V107746 = V031065. assign V400482 = V536572 + 1. assign V988628 = V169583 + 1. assign V984236 = V615216 - 1. assign V134935 = V639627. assign V897459 = V118211. assign V522812 = V076839 - 1. assign V976530 = V639627 + 1. assign V263576 = V216720. assign V835853 = V447649. assign V409694 = V951081 + 1. assign V688383 = V330985 - 1. assign V359268 = V730936 - 1. assign V314606 = V559061. assign V951081 = V976530 + 1. assign V479090 = V615216 + 1. assign V592334 = V330985. assign V177113 = V264951 + 1. assign V680988 = V031065. assign V078886 = V216720. assign V425220 = V951398 + 1. assign V724256 = V126619 + 1. assign V478961 = V139612. assign V558779 = V226659. assign V126349 = V568506 + 1. assign V283536 = V798720 + 1. assign V662218 = V509067 + 1. assign V536572 = V717616. assign V565463 = V976530. assign V819479 = V031065 + 1. assign V371362 = V213404. assign V606140 = V937840 + 1. assign V314896 = V057398 + 1. assign V731148 = V509067 + 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):\nV937840 = 0;\n\nFrom these direct assignment(s), we have: \nV606140 = V937840 + 1 = 0 + 1 =1;\nNo other variables can be derived from V606140;\nNo other variables can be derived from V937840;\n\nNow we have done all the calculations. Derived variables are:\nV937840 = 0;\nV606140 = 1;\n\nNow we have finished this problem. ANSWER:\nV606140\n", "role": "assistant" } ]

[ "V943324" ]

[ { "content": "<context>\nassign V940186 = V138017. assign V293279 = V929171. assign V343735 = V266937 + 1. assign V837678 = V082802 + 1. assign V681086 = V399868 + 1. assign V811326 = V774695 + 1. assign V065897 = V166424 + 1. assign V666901 = V862963 - 1. assign V877920 = V265144. assign V725080 = V752798 - 1. assign V299871 = V331049. assign V719467 = V304388 - 1. assign V251601 = V703777 + 1. assign V836745 = V493159. assign V304388 = V306973 - 1. assign V675635 = V300462 + 1. assign V322804 = V285541 + 1. assign V342485 = V493159 - 1. assign V910209 = V203392. assign V684134 = V752798 + 1. assign V891449 = V646899 + 1. assign V674046 = V850545 + 1. assign V678991 = V251601 + 1. assign V782464 = V026838 + 1. assign V320902 = V355623. assign V405300 = V862963. assign V813517 = V445547. assign V646899 = V428243 + 1. assign V905342 = V675635 - 1. assign V823751 = V071579 - 1. assign V355623 = V675635 + 1. assign V553046 = V910209. assign V929171 = V493159 + 1. assign V445547 = V929171 + 1. assign V729992 = V466722 + 1. assign V767677 = V181542 + 1. assign V346224 = V082802 + 1. assign V619569 = V518045. assign V429185 = V342485 - 1. assign V213312 = V561824 + 1. assign V221662 = V905342 + 1. assign V166424 = V675635 + 1. assign V988433 = V111900 + 1. assign V333032 = V573712. assign V283068 = V703777 - 1. assign V315164 = V666901. assign V692374 = V862963. assign V415219 = V376569 + 1. assign V412834 = V447198 - 1. assign V203392 = V426575 - 1. assign V845773 = V782464 + 1. assign V637904 = V181542 - 1. assign V206570 = V346224. assign V110328 = V493159. assign V577573 = V148409 - 1. assign V790325 = V308438. assign V194636 = V220541 - 1. assign V146949 = V929171 + 1. assign V071579 = V111900 - 1. assign V026838 = V445547 - 1. assign V501856 = V509732. assign V445623 = V992486 + 1. assign V220541 = V666901. assign V690170 = V714835. assign V368183 = V346224. assign V924750 = V342485 + 1. assign V111900 = V518045 + 1. assign V266937 = V445547 + 1. assign V336499 = V342485 + 1. assign V283439 = V937660. assign V161726 = V306973 - 1. assign V460834 = V309694 - 1. assign V297596 = V720317 - 1. assign V796434 = V862963 - 1. assign V419042 = V577573 + 1. assign V737302 = V471278 + 1. assign V449698 = V308438. assign V260123 = V774695 - 1. assign V858223 = V260123 + 1. assign V325359 = V160583. assign V592667 = V924750 - 1. assign V082802 = V493159. assign V862122 = V943324 - 1. assign V351351 = V674046 - 1. assign V265144 = V484589 - 1. assign V646158 = V675345. assign V407452 = V891449 - 1. assign V763980 = V288731 + 1. assign V307105 = V181542. assign V703530 = V260123. assign V218029 = V213312 - 1. assign V035029 = V342485 - 1. assign V079889 = V752798. assign V399868 = V251601 - 1. assign V181542 = V251601. assign V801671 = V994472. assign V331049 = V484589 + 1. assign V774695 = V619569 - 1. assign V943324 = 5. assign V257984 = V573712. assign V498602 = V266937 + 1. assign V979273 = V813517 - 1. assign V905553 = V181542. assign V471278 = V862963. assign V311949 = V343735 - 1. assign V266271 = V674046 - 1. assign V750452 = V498602. assign V763086 = V355623. assign V160583 = V862963. assign V086138 = V994472. assign V703777 = V929171 - 1. assign V300462 = V493159 + 1. assign V217218 = V277920 + 1. assign V329189 = V759018 + 1. assign V148409 = V484589 + 1. assign V466722 = V759018 + 1. assign V426575 = V759018 + 1. assign V282011 = V910209. assign V384458 = V376569 - 1. assign V850545 = V266937 - 1. assign V306973 = V389394 - 1. assign V518045 = V862963 + 1. assign V714835 = V260123 + 1. assign V590538 = V678991 - 1. assign V759641 = V646899 - 1. assign V285541 = V082802 + 1. assign V389394 = V342485 - 1. assign V561824 = V994472 - 1. assign V937660 = V484589. assign V509732 = V082802 - 1. assign V309694 = V813517 - 1. assign V389981 = V376569 + 1. assign V759018 = V439292 + 1. assign V720317 = V637904 + 1. assign V403910 = V366826. assign V405028 = V937660 + 1. assign V428243 = V703777 - 1. assign V366826 = V160583. assign V807220 = V111900 - 1. assign V277920 = V466722 + 1. assign V376569 = V850545 + 1. assign V936894 = V703777. assign V862963 = V412834 - 1. assign V091101 = V924750 - 1. assign V299695 = V308438 + 1. assign V573712 = V299871 + 1. assign V752798 = V661735 + 1. assign V414642 = V619569. assign V288731 = V850545. assign V998788 = V065897. assign V522329 = V035029 - 1. assign V308438 = V146949 + 1. assign V484589 = V493159 + 1. assign V436722 = V343735 - 1. assign V994472 = V439292 + 1. assign V503526 = V384458 - 1. assign V376072 = V086138 - 1. assign V943346 = V283439 - 1. assign V417623 = V774695. assign V675345 = V399868 + 1. assign V515966 = V782464. assign V447198 = V251601. assign V439292 = V445547 - 1. assign V661735 = V493159 - 1. assign V427458 = V071579 + 1. assign V627506 = V675635 - 1. assign V317872 = V661735. assign V138017 = V774695. assign V700395 = V260123. assign V654762 = V759018. assign V992486 = V428243 + 1. assign V151643 = V342485 - 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 V940186 = V138017. assign V293279 = V929171. assign V343735 = V266937 + 1. assign V837678 = V082802 + 1. assign V681086 = V399868 + 1. assign V811326 = V774695 + 1. assign V065897 = V166424 + 1. assign V666901 = V862963 - 1. assign V877920 = V265144. assign V725080 = V752798 - 1. assign V299871 = V331049. assign V719467 = V304388 - 1. assign V251601 = V703777 + 1. assign V836745 = V493159. assign V304388 = V306973 - 1. assign V675635 = V300462 + 1. assign V322804 = V285541 + 1. assign V342485 = V493159 - 1. assign V910209 = V203392. assign V684134 = V752798 + 1. assign V891449 = V646899 + 1. assign V674046 = V850545 + 1. assign V678991 = V251601 + 1. assign V782464 = V026838 + 1. assign V320902 = V355623. assign V405300 = V862963. assign V813517 = V445547. assign V646899 = V428243 + 1. assign V905342 = V675635 - 1. assign V823751 = V071579 - 1. assign V355623 = V675635 + 1. assign V553046 = V910209. assign V929171 = V493159 + 1. assign V445547 = V929171 + 1. assign V729992 = V466722 + 1. assign V767677 = V181542 + 1. assign V346224 = V082802 + 1. assign V619569 = V518045. assign V429185 = V342485 - 1. assign V213312 = V561824 + 1. assign V221662 = V905342 + 1. assign V166424 = V675635 + 1. assign V988433 = V111900 + 1. assign V333032 = V573712. assign V283068 = V703777 - 1. assign V315164 = V666901. assign V692374 = V862963. assign V415219 = V376569 + 1. assign V412834 = V447198 - 1. assign V203392 = V426575 - 1. assign V845773 = V782464 + 1. assign V637904 = V181542 - 1. assign V206570 = V346224. assign V110328 = V493159. assign V577573 = V148409 - 1. assign V790325 = V308438. assign V194636 = V220541 - 1. assign V146949 = V929171 + 1. assign V071579 = V111900 - 1. assign V026838 = V445547 - 1. assign V501856 = V509732. assign V445623 = V992486 + 1. assign V220541 = V666901. assign V690170 = V714835. assign V368183 = V346224. assign V924750 = V342485 + 1. assign V111900 = V518045 + 1. assign V266937 = V445547 + 1. assign V336499 = V342485 + 1. assign V283439 = V937660. assign V161726 = V306973 - 1. assign V460834 = V309694 - 1. assign V297596 = V720317 - 1. assign V796434 = V862963 - 1. assign V419042 = V577573 + 1. assign V737302 = V471278 + 1. assign V449698 = V308438. assign V260123 = V774695 - 1. assign V858223 = V260123 + 1. assign V325359 = V160583. assign V592667 = V924750 - 1. assign V082802 = V493159. assign V862122 = V943324 - 1. assign V351351 = V674046 - 1. assign V265144 = V484589 - 1. assign V646158 = V675345. assign V407452 = V891449 - 1. assign V763980 = V288731 + 1. assign V307105 = V181542. assign V703530 = V260123. assign V218029 = V213312 - 1. assign V035029 = V342485 - 1. assign V079889 = V752798. assign V399868 = V251601 - 1. assign V181542 = V251601. assign V801671 = V994472. assign V331049 = V484589 + 1. assign V774695 = V619569 - 1. assign V943324 = 5. assign V257984 = V573712. assign V498602 = V266937 + 1. assign V979273 = V813517 - 1. assign V905553 = V181542. assign V471278 = V862963. assign V311949 = V343735 - 1. assign V266271 = V674046 - 1. assign V750452 = V498602. assign V763086 = V355623. assign V160583 = V862963. assign V086138 = V994472. assign V703777 = V929171 - 1. assign V300462 = V493159 + 1. assign V217218 = V277920 + 1. assign V329189 = V759018 + 1. assign V148409 = V484589 + 1. assign V466722 = V759018 + 1. assign V426575 = V759018 + 1. assign V282011 = V910209. assign V384458 = V376569 - 1. assign V850545 = V266937 - 1. assign V306973 = V389394 - 1. assign V518045 = V862963 + 1. assign V714835 = V260123 + 1. assign V590538 = V678991 - 1. assign V759641 = V646899 - 1. assign V285541 = V082802 + 1. assign V389394 = V342485 - 1. assign V561824 = V994472 - 1. assign V937660 = V484589. assign V509732 = V082802 - 1. assign V309694 = V813517 - 1. assign V389981 = V376569 + 1. assign V759018 = V439292 + 1. assign V720317 = V637904 + 1. assign V403910 = V366826. assign V405028 = V937660 + 1. assign V428243 = V703777 - 1. assign V366826 = V160583. assign V807220 = V111900 - 1. assign V277920 = V466722 + 1. assign V376569 = V850545 + 1. assign V936894 = V703777. assign V862963 = V412834 - 1. assign V091101 = V924750 - 1. assign V299695 = V308438 + 1. assign V573712 = V299871 + 1. assign V752798 = V661735 + 1. assign V414642 = V619569. assign V288731 = V850545. assign V998788 = V065897. assign V522329 = V035029 - 1. assign V308438 = V146949 + 1. assign V484589 = V493159 + 1. assign V436722 = V343735 - 1. assign V994472 = V439292 + 1. assign V503526 = V384458 - 1. assign V376072 = V086138 - 1. assign V943346 = V283439 - 1. assign V417623 = V774695. assign V675345 = V399868 + 1. assign V515966 = V782464. assign V447198 = V251601. assign V439292 = V445547 - 1. assign V661735 = V493159 - 1. assign V427458 = V071579 + 1. assign V627506 = V675635 - 1. assign V317872 = V661735. assign V138017 = V774695. assign V700395 = V260123. assign V654762 = V759018. assign V992486 = V428243 + 1. assign V151643 = V342485 - 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):\nV943324 = 5;\n\nFrom these direct assignment(s), we have: \nV862122 = V943324 - 1 = 5 - 1 =4;\nNo other variables can be derived from V862122;\nNo other variables can be derived from V943324;\n\nNow we have done all the calculations. Derived variables are:\nV943324 = 5;\nV862122 = 4;\n\nNow we have finished this problem. ANSWER:\nV943324\n", "role": "assistant" } ]

[ "V091684" ]

[ { "content": "<context>\nassign V764402 = V019551. assign V415297 = V247548. assign V224668 = V145656 + 1. assign V656128 = V870104 + 1. assign V524142 = V952174. assign V789451 = V160480 - 1. assign V544158 = V255507 + 1. assign V456351 = V919942 + 1. assign V442014 = V925292. assign V466672 = V414769. assign V908691 = V925292 + 1. assign V132982 = V074749 - 1. assign V563188 = V092599. assign V287484 = V165184. assign V165184 = V019551. assign V654734 = V456351 + 1. assign V072574 = V905484 - 1. assign V744668 = V712266 - 1. assign V095681 = V177009 + 1. assign V776841 = V370902 - 1. assign V952174 = V513817 - 1. assign V485389 = V481512. assign V516979 = V663106 + 1. assign V767694 = V729577 - 1. assign V862108 = V044878 + 1. assign V012668 = V462266 + 1. assign V462266 = V972924. assign V588753 = V291451. assign V139694 = V919942 - 1. assign V925292 = V414769 - 1. assign V731858 = V992155. assign V117643 = V926777 - 1. assign V019551 = V126846 - 1. assign V358947 = V485389 + 1. assign V136113 = V962572 - 1. assign V727154 = V442014. assign V877239 = V539952 + 1. assign V560512 = V446626. assign V455348 = V466672 - 1. assign V886541 = V415665 + 1. assign V972924 = V877239 - 1. assign V180055 = V415665 - 1. assign V094571 = V201105. assign V718596 = V367233 - 1. assign V188796 = V481512 - 1. assign V982096 = V060995. assign V905484 = V925292 - 1. assign V446626 = V877239 - 1. assign V153001 = V421839 - 1. assign V938731 = V027188 - 1. assign V256881 = V656128 + 1. assign V387808 = V014435 - 1. assign V810462 = V129550 + 1. assign V700508 = V214619 - 1. assign V747774 = V370902 - 1. assign V656628 = V060995 + 1. assign V484236 = V047543. assign V663106 = V747774. assign V126496 = V421839 + 1. assign V320315 = V919942 - 1. assign V295297 = V330206 + 1. assign V179266 = V908691 - 1. assign V247548 = V019551 + 1. assign V357347 = V715780 + 1. assign V495755 = V074749 + 1. assign V687705 = V656128 + 1. assign V191186 = V634216. assign V906683 = V165184 + 1. assign V370902 = V227741. assign V447660 = V729577 - 1. assign V291451 = V962572 - 1. assign V558769 = V925292 - 1. assign V201105 = V367233 + 1. assign V262919 = V799586. assign V415665 = V862108. assign V841276 = V908691 + 1. assign V292128 = V267610. assign V406769 = V715780 + 1. assign V534056 = V925292 + 1. assign V220848 = V421839 - 1. assign V047543 = V196413 + 1. assign V762427 = V447660. assign V267610 = V279106. assign V060995 = V919942 - 1. assign V107794 = V781248 + 1. assign V799586 = V544158. assign V962572 = V442014 + 1. assign V716663 = V641946. assign V421839 = V074749. assign V243696 = V641946. assign V870104 = V456351 - 1. assign V238685 = V700508 + 1. assign V007754 = V196413. assign V605394 = V168910 + 1. assign V781248 = V160480 - 1. assign V539952 = V558769 - 1. assign V227741 = V962572 + 1. assign V092599 = V279106 - 1. assign V892835 = V992155 - 1. assign V239331 = V747774. assign V765043 = V641946 - 1. assign V160480 = V414769 + 1. assign V330206 = V060141 + 1. assign V044878 = V060995. assign V521782 = V654734. assign V634216 = V414769 - 1. assign V255507 = V201105 + 1. assign V002488 = V874107 + 1. assign V481512 = V367233 - 1. assign V875514 = V329745 + 1. assign V367233 = V442014 - 1. assign V279106 = V320315 + 1. assign V641946 = V558769. assign V186503 = V716663. assign V091684 = V902919 - 1. assign V775279 = V329745 - 1. assign V967289 = V320315. assign V501250 = V446626 + 1. assign V148710 = V593669 + 1. assign V275708 = V153001 + 1. assign V871052 = V926777 - 1. assign V550440 = V516979. assign V563239 = V214619. assign V899943 = V789451. assign V920373 = V136113 + 1. assign V027188 = V421839. assign V060141 = V908691. assign V902919 = 3. assign V103295 = V841276 + 1. assign V145656 = V919942 - 1. assign V023352 = V906667. assign V414769 = V919942. assign V781218 = V414769 - 1. assign V164537 = V196413 - 1. assign V809642 = V972924 - 1. assign V168910 = V462266. assign V329745 = V718596 + 1. assign V402036 = V605394 - 1. assign V074749 = V919942 - 1. assign V712266 = V926777 - 1. assign V906667 = V196413. assign V780458 = V925292 + 1. assign V704463 = V160480 + 1. assign V126846 = V466672 - 1. assign V731149 = V712266 + 1. assign V010775 = V654734. assign V915208 = V775279. assign V304028 = V544158. assign V402331 = V718596 - 1. assign V408909 = V287484. assign V578541 = V727154. assign V827903 = V494897 - 1. assign V715780 = V279106 - 1. assign V513817 = V160480. assign V214619 = V275708 - 1. assign V593669 = V919942 + 1. assign V992155 = V925292 - 1. assign V129550 = V874107 - 1. assign V014435 = V789451 + 1. assign V874107 = V060995 - 1. assign V735733 = V908691 - 1. assign V290838 = V729577 - 1. assign V646352 = V092599 - 1. assign V401110 = V747774 - 1. assign V926777 = V442014 - 1. assign V030158 = V243696. assign V729577 = V926777 + 1. assign V196413 = V044878. assign V177009 = V906667 - 1. assign V494897 = V367233 + 1. assign V315139 = V136113. assign V909859 = V870104.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V764402 = V019551. assign V415297 = V247548. assign V224668 = V145656 + 1. assign V656128 = V870104 + 1. assign V524142 = V952174. assign V789451 = V160480 - 1. assign V544158 = V255507 + 1. assign V456351 = V919942 + 1. assign V442014 = V925292. assign V466672 = V414769. assign V908691 = V925292 + 1. assign V132982 = V074749 - 1. assign V563188 = V092599. assign V287484 = V165184. assign V165184 = V019551. assign V654734 = V456351 + 1. assign V072574 = V905484 - 1. assign V744668 = V712266 - 1. assign V095681 = V177009 + 1. assign V776841 = V370902 - 1. assign V952174 = V513817 - 1. assign V485389 = V481512. assign V516979 = V663106 + 1. assign V767694 = V729577 - 1. assign V862108 = V044878 + 1. assign V012668 = V462266 + 1. assign V462266 = V972924. assign V588753 = V291451. assign V139694 = V919942 - 1. assign V925292 = V414769 - 1. assign V731858 = V992155. assign V117643 = V926777 - 1. assign V019551 = V126846 - 1. assign V358947 = V485389 + 1. assign V136113 = V962572 - 1. assign V727154 = V442014. assign V877239 = V539952 + 1. assign V560512 = V446626. assign V455348 = V466672 - 1. assign V886541 = V415665 + 1. assign V972924 = V877239 - 1. assign V180055 = V415665 - 1. assign V094571 = V201105. assign V718596 = V367233 - 1. assign V188796 = V481512 - 1. assign V982096 = V060995. assign V905484 = V925292 - 1. assign V446626 = V877239 - 1. assign V153001 = V421839 - 1. assign V938731 = V027188 - 1. assign V256881 = V656128 + 1. assign V387808 = V014435 - 1. assign V810462 = V129550 + 1. assign V700508 = V214619 - 1. assign V747774 = V370902 - 1. assign V656628 = V060995 + 1. assign V484236 = V047543. assign V663106 = V747774. assign V126496 = V421839 + 1. assign V320315 = V919942 - 1. assign V295297 = V330206 + 1. assign V179266 = V908691 - 1. assign V247548 = V019551 + 1. assign V357347 = V715780 + 1. assign V495755 = V074749 + 1. assign V687705 = V656128 + 1. assign V191186 = V634216. assign V906683 = V165184 + 1. assign V370902 = V227741. assign V447660 = V729577 - 1. assign V291451 = V962572 - 1. assign V558769 = V925292 - 1. assign V201105 = V367233 + 1. assign V262919 = V799586. assign V415665 = V862108. assign V841276 = V908691 + 1. assign V292128 = V267610. assign V406769 = V715780 + 1. assign V534056 = V925292 + 1. assign V220848 = V421839 - 1. assign V047543 = V196413 + 1. assign V762427 = V447660. assign V267610 = V279106. assign V060995 = V919942 - 1. assign V107794 = V781248 + 1. assign V799586 = V544158. assign V962572 = V442014 + 1. assign V716663 = V641946. assign V421839 = V074749. assign V243696 = V641946. assign V870104 = V456351 - 1. assign V238685 = V700508 + 1. assign V007754 = V196413. assign V605394 = V168910 + 1. assign V781248 = V160480 - 1. assign V539952 = V558769 - 1. assign V227741 = V962572 + 1. assign V092599 = V279106 - 1. assign V892835 = V992155 - 1. assign V239331 = V747774. assign V765043 = V641946 - 1. assign V160480 = V414769 + 1. assign V330206 = V060141 + 1. assign V044878 = V060995. assign V521782 = V654734. assign V634216 = V414769 - 1. assign V255507 = V201105 + 1. assign V002488 = V874107 + 1. assign V481512 = V367233 - 1. assign V875514 = V329745 + 1. assign V367233 = V442014 - 1. assign V279106 = V320315 + 1. assign V641946 = V558769. assign V186503 = V716663. assign V091684 = V902919 - 1. assign V775279 = V329745 - 1. assign V967289 = V320315. assign V501250 = V446626 + 1. assign V148710 = V593669 + 1. assign V275708 = V153001 + 1. assign V871052 = V926777 - 1. assign V550440 = V516979. assign V563239 = V214619. assign V899943 = V789451. assign V920373 = V136113 + 1. assign V027188 = V421839. assign V060141 = V908691. assign V902919 = 3. assign V103295 = V841276 + 1. assign V145656 = V919942 - 1. assign V023352 = V906667. assign V414769 = V919942. assign V781218 = V414769 - 1. assign V164537 = V196413 - 1. assign V809642 = V972924 - 1. assign V168910 = V462266. assign V329745 = V718596 + 1. assign V402036 = V605394 - 1. assign V074749 = V919942 - 1. assign V712266 = V926777 - 1. assign V906667 = V196413. assign V780458 = V925292 + 1. assign V704463 = V160480 + 1. assign V126846 = V466672 - 1. assign V731149 = V712266 + 1. assign V010775 = V654734. assign V915208 = V775279. assign V304028 = V544158. assign V402331 = V718596 - 1. assign V408909 = V287484. assign V578541 = V727154. assign V827903 = V494897 - 1. assign V715780 = V279106 - 1. assign V513817 = V160480. assign V214619 = V275708 - 1. assign V593669 = V919942 + 1. assign V992155 = V925292 - 1. assign V129550 = V874107 - 1. assign V014435 = V789451 + 1. assign V874107 = V060995 - 1. assign V735733 = V908691 - 1. assign V290838 = V729577 - 1. assign V646352 = V092599 - 1. assign V401110 = V747774 - 1. assign V926777 = V442014 - 1. assign V030158 = V243696. assign V729577 = V926777 + 1. assign V196413 = V044878. assign V177009 = V906667 - 1. assign V494897 = V367233 + 1. assign V315139 = V136113. assign V909859 = V870104.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV902919 = 3;\n\nFrom these direct assignment(s), we have: \nV091684 = V902919 - 1 = 3 - 1 =2;\nNo other variables can be derived from V091684;\nNo other variables can be derived from V902919;\n\nNow we have done all the calculations. Derived variables are:\nV902919 = 3;\nV091684 = 2;\n\nNow we have finished this problem. ANSWER:\nV091684\n", "role": "assistant" } ]

[ "V525078", "V193445" ]

[ { "content": "<context>\nassign V928400 = V506884 - 1. assign V890933 = V124679 + 1. assign V378103 = V385615 - 1. assign V068320 = V104545 - 1. assign V254842 = V283029 + 1. assign V168560 = V652613 + 1. assign V381750 = V600783 - 1. assign V155033 = V434945 - 1. assign V172660 = V506884 - 1. assign V387025 = V172660 + 1. assign V139986 = V212635. assign V526691 = V430631. assign V919862 = V212635 - 1. assign V876515 = V548135. assign V362502 = V568683 - 1. assign V183895 = V310278 - 1. assign V531857 = V664999 + 1. assign V836298 = V279639. assign V456777 = V392109. assign V288104 = V697488 - 1. assign V510325 = V825642. assign V775758 = V931035. assign V918923 = V382602. assign V673811 = V433263. assign V195143 = V664999 + 1. assign V488162 = V833083 - 1. assign V745248 = V392109 - 1. assign V986374 = V588815 - 1. assign V369141 = V422996 - 1. assign V382602 = V810641 - 1. assign V600783 = V139986 - 1. assign V347329 = V339515. assign V716684 = V035073 - 1. assign V790008 = V381154. assign V807874 = V381750 + 1. assign V433263 = V506884 + 1. assign V295192 = V637581. assign V153202 = V306634 + 1. assign V588815 = V204603. assign V898447 = V825642. assign V430397 = V581768 - 1. assign V323741 = V124679 + 1. assign V674598 = V581768 - 1. assign V810641 = V323741 + 1. assign V713400 = V719421 - 1. assign V122438 = V212635 - 1. assign V212635 = V949857 - 1. assign V234579 = V907914. assign V678097 = V984858 + 1. assign V381154 = V381750 - 1. assign V274574 = V339178 + 1. assign V158740 = V289570 - 1. assign V408462 = V362502 + 1. assign V279639 = V234579. assign V993838 = V568683 - 1. assign V283029 = V195899 + 1. assign V494382 = V434945 + 1. assign V372698 = V931035 + 1. assign V378919 = V745248. assign V434945 = V828425 + 1. assign V581768 = V825642. assign V719421 = V378103 + 1. assign V465210 = V828425 + 1. assign V555241 = V637581 + 1. assign V490880 = V790008 + 1. assign V470509 = V391881 + 1. assign V542300 = V381750 + 1. assign V042005 = V834748 - 1. assign V984858 = V089645 + 1. assign V023385 = V494382 + 1. assign V331070 = V374277 - 1. assign V812480 = V104545 + 1. assign V284887 = V253418 + 1. assign V464427 = V042005 + 1. assign V536598 = V790008 + 1. assign V525078 = 6. assign V306634 = V946409. assign V567408 = V906626 - 1. assign V730325 = V931035 + 1. assign V422996 = V652613 - 1. assign V078134 = V506884 + 1. assign V664999 = V581768. assign V320926 = V629729 + 1. assign V548135 = V833083 - 1. assign V916819 = V993838. assign V697488 = V430631 - 1. assign V441894 = V279639 - 1. assign V568683 = V834748 + 1. assign V931035 = V172660 + 1. assign V816545 = V629729. assign V912552 = V470509 - 1. assign V444913 = V898447 - 1. assign V187643 = V042005 - 1. assign V339178 = V155033 + 1. assign V499021 = V931035 - 1. assign V698854 = V381750 + 1. assign V203470 = V274574 - 1. assign V090071 = V949857 + 1. assign V195899 = V957070 - 1. assign V181557 = V430631. assign V035073 = V833083 + 1. assign V385615 = V581768 - 1. assign V374277 = V234579 - 1. assign V289570 = V898447 + 1. assign V193445 = V525078. assign V507255 = V993838 - 1. assign V310278 = V385615 - 1. assign V346597 = V664999 + 1. assign V089645 = V898447 + 1. assign V629729 = V906626. assign V967243 = V185745. assign V819775 = V984858. assign V185745 = V949857 + 1. assign V852414 = V516833 - 1. assign V624856 = V907914 + 1. assign V391881 = V172660. assign V702499 = V289570 + 1. assign V812888 = V600783 + 1. assign V109685 = V991324 + 1. assign V533996 = V078134 + 1. assign V550764 = V374277. assign V570535 = V346597. assign V149067 = V155033 - 1. assign V745048 = V295192 - 1. assign V651309 = V588815 - 1. assign V353955 = V042005 + 1. assign V506884 = V124679 + 1. assign V190081 = V697488 + 1. assign V830415 = V131604 + 1. assign V124679 = V907914. assign V298882 = V320926 + 1. assign V637581 = V834748. assign V204603 = V745248 - 1. assign V949857 = V825642. assign V290261 = V422996 + 1. assign V833083 = V510325 + 1. assign V946409 = V155033 + 1. assign V310678 = V289570. assign V652613 = V430631 + 1. assign V907914 = V949857. assign V104545 = V155033. assign V286877 = V204603. assign V668291 = V204603 + 1. assign V828425 = V825642. assign V414441 = V568683 - 1. assign V392109 = V234579 - 1. assign V131604 = V825642 - 1. assign V795453 = V149067 - 1. assign V507950 = V289570. assign V260148 = V898447 - 1. assign V906626 = V023385 - 1. assign V217246 = V488162. assign V909646 = V949857 + 1. assign V991324 = V898447 + 1. assign V645119 = V172660 + 1. assign V496908 = V310278 - 1. assign V516833 = V023385 + 1. assign V567074 = V928400 - 1. assign V347088 = V339515. assign V322383 = V323741. assign V834748 = V828425. assign V794553 = V581768 - 1. assign V430631 = V907914. assign V656038 = V516833 - 1. assign V339515 = V506884 + 1. assign V253418 = V104545 - 1. assign V080658 = V381750 + 1. assign V107323 = V812480 + 1. assign V296224 = V909646 + 1. assign V674512 = V490880. assign V095507 = V510325. assign V957070 = V104545 - 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 V928400 = V506884 - 1. assign V890933 = V124679 + 1. assign V378103 = V385615 - 1. assign V068320 = V104545 - 1. assign V254842 = V283029 + 1. assign V168560 = V652613 + 1. assign V381750 = V600783 - 1. assign V155033 = V434945 - 1. assign V172660 = V506884 - 1. assign V387025 = V172660 + 1. assign V139986 = V212635. assign V526691 = V430631. assign V919862 = V212635 - 1. assign V876515 = V548135. assign V362502 = V568683 - 1. assign V183895 = V310278 - 1. assign V531857 = V664999 + 1. assign V836298 = V279639. assign V456777 = V392109. assign V288104 = V697488 - 1. assign V510325 = V825642. assign V775758 = V931035. assign V918923 = V382602. assign V673811 = V433263. assign V195143 = V664999 + 1. assign V488162 = V833083 - 1. assign V745248 = V392109 - 1. assign V986374 = V588815 - 1. assign V369141 = V422996 - 1. assign V382602 = V810641 - 1. assign V600783 = V139986 - 1. assign V347329 = V339515. assign V716684 = V035073 - 1. assign V790008 = V381154. assign V807874 = V381750 + 1. assign V433263 = V506884 + 1. assign V295192 = V637581. assign V153202 = V306634 + 1. assign V588815 = V204603. assign V898447 = V825642. assign V430397 = V581768 - 1. assign V323741 = V124679 + 1. assign V674598 = V581768 - 1. assign V810641 = V323741 + 1. assign V713400 = V719421 - 1. assign V122438 = V212635 - 1. assign V212635 = V949857 - 1. assign V234579 = V907914. assign V678097 = V984858 + 1. assign V381154 = V381750 - 1. assign V274574 = V339178 + 1. assign V158740 = V289570 - 1. assign V408462 = V362502 + 1. assign V279639 = V234579. assign V993838 = V568683 - 1. assign V283029 = V195899 + 1. assign V494382 = V434945 + 1. assign V372698 = V931035 + 1. assign V378919 = V745248. assign V434945 = V828425 + 1. assign V581768 = V825642. assign V719421 = V378103 + 1. assign V465210 = V828425 + 1. assign V555241 = V637581 + 1. assign V490880 = V790008 + 1. assign V470509 = V391881 + 1. assign V542300 = V381750 + 1. assign V042005 = V834748 - 1. assign V984858 = V089645 + 1. assign V023385 = V494382 + 1. assign V331070 = V374277 - 1. assign V812480 = V104545 + 1. assign V284887 = V253418 + 1. assign V464427 = V042005 + 1. assign V536598 = V790008 + 1. assign V525078 = 6. assign V306634 = V946409. assign V567408 = V906626 - 1. assign V730325 = V931035 + 1. assign V422996 = V652613 - 1. assign V078134 = V506884 + 1. assign V664999 = V581768. assign V320926 = V629729 + 1. assign V548135 = V833083 - 1. assign V916819 = V993838. assign V697488 = V430631 - 1. assign V441894 = V279639 - 1. assign V568683 = V834748 + 1. assign V931035 = V172660 + 1. assign V816545 = V629729. assign V912552 = V470509 - 1. assign V444913 = V898447 - 1. assign V187643 = V042005 - 1. assign V339178 = V155033 + 1. assign V499021 = V931035 - 1. assign V698854 = V381750 + 1. assign V203470 = V274574 - 1. assign V090071 = V949857 + 1. assign V195899 = V957070 - 1. assign V181557 = V430631. assign V035073 = V833083 + 1. assign V385615 = V581768 - 1. assign V374277 = V234579 - 1. assign V289570 = V898447 + 1. assign V193445 = V525078. assign V507255 = V993838 - 1. assign V310278 = V385615 - 1. assign V346597 = V664999 + 1. assign V089645 = V898447 + 1. assign V629729 = V906626. assign V967243 = V185745. assign V819775 = V984858. assign V185745 = V949857 + 1. assign V852414 = V516833 - 1. assign V624856 = V907914 + 1. assign V391881 = V172660. assign V702499 = V289570 + 1. assign V812888 = V600783 + 1. assign V109685 = V991324 + 1. assign V533996 = V078134 + 1. assign V550764 = V374277. assign V570535 = V346597. assign V149067 = V155033 - 1. assign V745048 = V295192 - 1. assign V651309 = V588815 - 1. assign V353955 = V042005 + 1. assign V506884 = V124679 + 1. assign V190081 = V697488 + 1. assign V830415 = V131604 + 1. assign V124679 = V907914. assign V298882 = V320926 + 1. assign V637581 = V834748. assign V204603 = V745248 - 1. assign V949857 = V825642. assign V290261 = V422996 + 1. assign V833083 = V510325 + 1. assign V946409 = V155033 + 1. assign V310678 = V289570. assign V652613 = V430631 + 1. assign V907914 = V949857. assign V104545 = V155033. assign V286877 = V204603. assign V668291 = V204603 + 1. assign V828425 = V825642. assign V414441 = V568683 - 1. assign V392109 = V234579 - 1. assign V131604 = V825642 - 1. assign V795453 = V149067 - 1. assign V507950 = V289570. assign V260148 = V898447 - 1. assign V906626 = V023385 - 1. assign V217246 = V488162. assign V909646 = V949857 + 1. assign V991324 = V898447 + 1. assign V645119 = V172660 + 1. assign V496908 = V310278 - 1. assign V516833 = V023385 + 1. assign V567074 = V928400 - 1. assign V347088 = V339515. assign V322383 = V323741. assign V834748 = V828425. assign V794553 = V581768 - 1. assign V430631 = V907914. assign V656038 = V516833 - 1. assign V339515 = V506884 + 1. assign V253418 = V104545 - 1. assign V080658 = V381750 + 1. assign V107323 = V812480 + 1. assign V296224 = V909646 + 1. assign V674512 = V490880. assign V095507 = V510325. assign V957070 = V104545 - 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):\nV525078 = 6;\n\nFrom these direct assignment(s), we have: \nV193445 = V525078 = 6;\nNo other variables can be derived from V193445;\nNo other variables can be derived from V525078;\n\nNow we have done all the calculations. Derived variables are:\nV525078 = 6;\nV193445 = 6;\n\nNow we have finished this problem. ANSWER:\nV525078, V193445\n", "role": "assistant" } ]

[ "V721111" ]

[ { "content": "<context>\nassign V682910 = V155092 + 1. assign V364991 = V145153. assign V126084 = V014264 - 1. assign V179877 = V828191 + 1. assign V234272 = V132693. assign V888848 = V302909. assign V246902 = V137959 - 1. assign V051103 = V703808. assign V305877 = V776419 - 1. assign V145211 = V491531 + 1. assign V018207 = V626278 - 1. assign V988482 = V042205 - 1. assign V108912 = V103988. assign V144669 = V179877 - 1. assign V186047 = V828191. assign V383270 = V491531. assign V642816 = V132693. assign V805865 = V703808 + 1. assign V190311 = V805865 - 1. assign V621994 = V151528 - 1. assign V190485 = V016706 - 1. assign V405484 = V132154. assign V887673 = V383270 + 1. assign V200274 = V492434 + 1. assign V078656 = V810661 + 1. assign V721111 = V587299 - 1. assign V074204 = V164056 + 1. assign V599943 = V810661 - 1. assign V226400 = V520888 - 1. assign V447243 = V463849 - 1. assign V739924 = V145211 - 1. assign V302909 = V097629. assign V520218 = V097629 - 1. assign V145153 = V014264 + 1. assign V825242 = V340733 + 1. assign V201356 = V703808 - 1. assign V347362 = V752174. assign V107660 = V051103. assign V249122 = V019147. assign V476308 = V251603 - 1. assign V388369 = V014264. assign V389039 = V627453. assign V555219 = V027768 + 1. assign V666160 = V865244 + 1. assign V555510 = V682910 + 1. assign V151528 = V753445 + 1. assign V079494 = V103988 - 1. assign V609621 = V108912. assign V798937 = V078656 + 1. assign V483308 = V263472 - 1. assign V129956 = V389039. assign V752174 = V626278 - 1. assign V703808 = V865244 + 1. assign V367986 = V865244 + 1. assign V201795 = V805865. assign V813839 = V415652. assign V857995 = V263472 + 1. assign V491531 = V344618 - 1. assign V042205 = V563429 - 1. assign V590964 = V263472 - 1. assign V178463 = V752174 - 1. assign V885058 = V137959 + 1. assign V753445 = V016706 - 1. assign V526444 = V078656 - 1. assign V155092 = V739107 + 1. assign V711331 = V591817. assign V513729 = V234272. assign V700477 = V637747 + 1. assign V086270 = V190485 - 1. assign V073364 = V155176 - 1. assign V720799 = V217989 - 1. assign V201979 = V767570 - 1. assign V520888 = V179877 + 1. assign V190001 = V421011. assign V576583 = V987606. assign V188109 = V262605 + 1. assign V078663 = V916134. assign V739107 = V828191 + 1. assign V952206 = V155092. assign V772141 = V576583. assign V767570 = V880944 + 1. assign V019147 = V201979 - 1. assign V297745 = V987606. assign V394507 = V155176 + 1. assign V421011 = V344618 - 1. assign V097629 = V484855 + 1. assign V795890 = V152699 - 1. assign V463849 = V626278 - 1. assign V834665 = V520218 - 1. assign V263472 = V492434 - 1. assign V995043 = V462807. assign V645849 = V340733 + 1. assign V492434 = V145153 + 1. assign V336406 = V132693. assign V460047 = V988482 + 1. assign V251603 = V394507. assign V983242 = V164056 - 1. assign V105611 = V383270. assign V776419 = V627453 - 1. assign V342500 = V513729 + 1. assign V484855 = V421011. assign V627453 = V383270. assign V137959 = V620234 + 1. assign V880944 = V805865. assign V492179 = V145211 + 1. assign V405887 = V151528 + 1. assign V344618 = V865244 - 1. assign V243720 = V987606. assign V027768 = V810661 - 1. assign V108435 = V014264. assign V152699 = V492179. assign V314679 = V977662 + 1. assign V227473 = V383270 + 1. assign V517998 = V682666. assign V103988 = V703808 + 1. assign V014264 = V865244 + 1. assign V696420 = V243720 + 1. assign V507102 = V160444 - 1. assign V563429 = V340733 - 1. assign V158962 = V563429 + 1. assign V016706 = V344618 + 1. assign V217989 = V484855 + 1. assign V174191 = V201979 + 1. assign V160444 = V555510 + 1. assign V317902 = V513729 - 1. assign V609697 = V389039 + 1. assign V977662 = V103988 - 1. assign V164056 = V591817. assign V462807 = V344618 + 1. assign V132154 = V305877 + 1. assign V626278 = V344618 - 1. assign V179577 = V132693. assign V434058 = V249122 - 1. assign V972269 = V145153. assign V453530 = V051103 + 1. assign V836584 = V828191 - 1. assign V801182 = V263472 + 1. assign V032038 = V016706. assign V060670 = V246902. assign V340733 = V865244 - 1. assign V158047 = V703808 - 1. assign V987606 = V079494. assign V591817 = V810661 - 1. assign V613285 = V798937 + 1. assign V637747 = V132693. assign V401146 = V383270 - 1. assign V132693 = V626278 - 1. assign V498571 = V434058. assign V212485 = V305877 + 1. assign V067627 = V591817 - 1. assign V415652 = V367986 + 1. assign V755053 = V079494. assign V260186 = V620234. assign V262605 = V014264 - 1. assign V810661 = V739107 - 1. assign V587332 = V263472. assign V867875 = V401146 - 1. assign V928576 = V682910 - 1. assign V155176 = V739107 + 1. assign V620234 = V103988 - 1. assign V682666 = V491531 + 1. assign V828191 = V491531 + 1. assign V587299 = 6. assign V227555 = V880944. assign V583263 = V389039. assign V289847 = V836584 + 1. assign V515818 = V019147. assign V776178 = V079494. assign V530180 = V587332. assign V079284 = V137959 - 1. assign V916134 = V188109. assign V930864 = V772141 + 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 V682910 = V155092 + 1. assign V364991 = V145153. assign V126084 = V014264 - 1. assign V179877 = V828191 + 1. assign V234272 = V132693. assign V888848 = V302909. assign V246902 = V137959 - 1. assign V051103 = V703808. assign V305877 = V776419 - 1. assign V145211 = V491531 + 1. assign V018207 = V626278 - 1. assign V988482 = V042205 - 1. assign V108912 = V103988. assign V144669 = V179877 - 1. assign V186047 = V828191. assign V383270 = V491531. assign V642816 = V132693. assign V805865 = V703808 + 1. assign V190311 = V805865 - 1. assign V621994 = V151528 - 1. assign V190485 = V016706 - 1. assign V405484 = V132154. assign V887673 = V383270 + 1. assign V200274 = V492434 + 1. assign V078656 = V810661 + 1. assign V721111 = V587299 - 1. assign V074204 = V164056 + 1. assign V599943 = V810661 - 1. assign V226400 = V520888 - 1. assign V447243 = V463849 - 1. assign V739924 = V145211 - 1. assign V302909 = V097629. assign V520218 = V097629 - 1. assign V145153 = V014264 + 1. assign V825242 = V340733 + 1. assign V201356 = V703808 - 1. assign V347362 = V752174. assign V107660 = V051103. assign V249122 = V019147. assign V476308 = V251603 - 1. assign V388369 = V014264. assign V389039 = V627453. assign V555219 = V027768 + 1. assign V666160 = V865244 + 1. assign V555510 = V682910 + 1. assign V151528 = V753445 + 1. assign V079494 = V103988 - 1. assign V609621 = V108912. assign V798937 = V078656 + 1. assign V483308 = V263472 - 1. assign V129956 = V389039. assign V752174 = V626278 - 1. assign V703808 = V865244 + 1. assign V367986 = V865244 + 1. assign V201795 = V805865. assign V813839 = V415652. assign V857995 = V263472 + 1. assign V491531 = V344618 - 1. assign V042205 = V563429 - 1. assign V590964 = V263472 - 1. assign V178463 = V752174 - 1. assign V885058 = V137959 + 1. assign V753445 = V016706 - 1. assign V526444 = V078656 - 1. assign V155092 = V739107 + 1. assign V711331 = V591817. assign V513729 = V234272. assign V700477 = V637747 + 1. assign V086270 = V190485 - 1. assign V073364 = V155176 - 1. assign V720799 = V217989 - 1. assign V201979 = V767570 - 1. assign V520888 = V179877 + 1. assign V190001 = V421011. assign V576583 = V987606. assign V188109 = V262605 + 1. assign V078663 = V916134. assign V739107 = V828191 + 1. assign V952206 = V155092. assign V772141 = V576583. assign V767570 = V880944 + 1. assign V019147 = V201979 - 1. assign V297745 = V987606. assign V394507 = V155176 + 1. assign V421011 = V344618 - 1. assign V097629 = V484855 + 1. assign V795890 = V152699 - 1. assign V463849 = V626278 - 1. assign V834665 = V520218 - 1. assign V263472 = V492434 - 1. assign V995043 = V462807. assign V645849 = V340733 + 1. assign V492434 = V145153 + 1. assign V336406 = V132693. assign V460047 = V988482 + 1. assign V251603 = V394507. assign V983242 = V164056 - 1. assign V105611 = V383270. assign V776419 = V627453 - 1. assign V342500 = V513729 + 1. assign V484855 = V421011. assign V627453 = V383270. assign V137959 = V620234 + 1. assign V880944 = V805865. assign V492179 = V145211 + 1. assign V405887 = V151528 + 1. assign V344618 = V865244 - 1. assign V243720 = V987606. assign V027768 = V810661 - 1. assign V108435 = V014264. assign V152699 = V492179. assign V314679 = V977662 + 1. assign V227473 = V383270 + 1. assign V517998 = V682666. assign V103988 = V703808 + 1. assign V014264 = V865244 + 1. assign V696420 = V243720 + 1. assign V507102 = V160444 - 1. assign V563429 = V340733 - 1. assign V158962 = V563429 + 1. assign V016706 = V344618 + 1. assign V217989 = V484855 + 1. assign V174191 = V201979 + 1. assign V160444 = V555510 + 1. assign V317902 = V513729 - 1. assign V609697 = V389039 + 1. assign V977662 = V103988 - 1. assign V164056 = V591817. assign V462807 = V344618 + 1. assign V132154 = V305877 + 1. assign V626278 = V344618 - 1. assign V179577 = V132693. assign V434058 = V249122 - 1. assign V972269 = V145153. assign V453530 = V051103 + 1. assign V836584 = V828191 - 1. assign V801182 = V263472 + 1. assign V032038 = V016706. assign V060670 = V246902. assign V340733 = V865244 - 1. assign V158047 = V703808 - 1. assign V987606 = V079494. assign V591817 = V810661 - 1. assign V613285 = V798937 + 1. assign V637747 = V132693. assign V401146 = V383270 - 1. assign V132693 = V626278 - 1. assign V498571 = V434058. assign V212485 = V305877 + 1. assign V067627 = V591817 - 1. assign V415652 = V367986 + 1. assign V755053 = V079494. assign V260186 = V620234. assign V262605 = V014264 - 1. assign V810661 = V739107 - 1. assign V587332 = V263472. assign V867875 = V401146 - 1. assign V928576 = V682910 - 1. assign V155176 = V739107 + 1. assign V620234 = V103988 - 1. assign V682666 = V491531 + 1. assign V828191 = V491531 + 1. assign V587299 = 6. assign V227555 = V880944. assign V583263 = V389039. assign V289847 = V836584 + 1. assign V515818 = V019147. assign V776178 = V079494. assign V530180 = V587332. assign V079284 = V137959 - 1. assign V916134 = V188109. assign V930864 = V772141 + 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):\nV587299 = 6;\n\nFrom these direct assignment(s), we have: \nV721111 = V587299 - 1 = 6 - 1 =5;\nNo other variables can be derived from V721111;\nNo other variables can be derived from V587299;\n\nNow we have done all the calculations. Derived variables are:\nV587299 = 6;\nV721111 = 5;\n\nNow we have finished this problem. ANSWER:\nV721111\n", "role": "assistant" } ]

[ "V454625" ]

[ { "content": "<context>\nassign V587817 = V597216 - 1. assign V778603 = V358013 - 1. assign V760487 = V273531. assign V013541 = V863423. assign V405830 = V522443 - 1. assign V408000 = V334956 + 1. assign V107241 = V801677 + 1. assign V680605 = V639224. assign V909344 = V110526 + 1. assign V285278 = V699936. assign V837639 = V903921. assign V281674 = V716870 - 1. assign V558493 = V647612 - 1. assign V879928 = V612262 - 1. assign V261855 = V903921 + 1. assign V319776 = V484721. assign V173568 = V100390. assign V454592 = V473843. assign V940692 = V477237. assign V784305 = V801677 - 1. assign V750317 = V863522. assign V149369 = V747071 + 1. assign V639224 = V473843 + 1. assign V895892 = V477237. assign V605897 = V928870 + 1. assign V407016 = V716870. assign V104437 = V525770 - 1. assign V397688 = V472679 + 1. assign V504157 = V515323 + 1. assign V835500 = V273531. assign V295337 = V431106 - 1. assign V975690 = V793001 + 1. assign V242880 = V716870 - 1. assign V546197 = V605897. assign V829920 = V531822. assign V508727 = V273531. assign V053566 = V075762 - 1. assign V426963 = V801677 + 1. assign V519678 = V285278 + 1. assign V994726 = V681476 + 1. assign V051054 = V465980 - 1. assign V483548 = V502817 + 1. assign V712967 = V829920 + 1. assign V552813 = V597216 + 1. assign V747071 = V123464 - 1. assign V956039 = V557121. assign V036485 = V123464 - 1. assign V328368 = V060854 - 1. assign V058022 = V273531 - 1. assign V348120 = V936998 + 1. assign V110526 = V984488 - 1. assign V276648 = V652695 + 1. assign V037472 = V531822. assign V310412 = V903921 + 1. assign V681476 = V334956. assign V609881 = V699936 + 1. assign V602431 = V397688 + 1. assign V404455 = V660121. assign V542077 = V597216. assign V633275 = V784305 + 1. assign V184537 = V760487. assign V573894 = V519678 - 1. assign V439771 = V680605 - 1. assign V324343 = V542077 - 1. assign V359689 = V639224 - 1. assign V970243 = V944036 - 1. assign V458120 = V612072 + 1. assign V991976 = V534910 + 1. assign V612072 = V913335 + 1. assign V553675 = V472679. assign V318537 = V913335 - 1. assign V477237 = V879928 - 1. assign V493297 = V473843 - 1. assign V334956 = V542077 - 1. assign V488984 = V909344 + 1. assign V824064 = V334956 - 1. assign V359457 = V199070. assign V903921 = V928870. assign V935015 = V123464 - 1. assign V525770 = V110526 - 1. assign V473843 = V984488 + 1. assign V249423 = V273531 - 1. assign V660121 = V639224 - 1. assign V257365 = V612262 - 1. assign V194533 = V348120. assign V619564 = V431106 + 1. assign V132005 = V909344. assign V723032 = V326257 - 1. assign V952622 = V531822. assign V508355 = V149369 + 1. assign V075762 = V612262. assign V574309 = V647612 - 1. assign V716870 = V273531. assign V060854 = V542077 - 1. assign V919117 = V837867 + 1. assign V013106 = V037472 - 1. assign V113811 = V557121 - 1. assign V287519 = V909344 - 1. assign V398948 = V534910. assign V333474 = V066243 - 1. assign V431106 = V936998. assign V515987 = V273531 - 1. assign V465980 = V348120 - 1. assign V531822 = V612262. assign V534910 = V288424 - 1. assign V335127 = V944036. assign V472679 = V110526. assign V612262 = V473843 + 1. assign V522443 = V760487 - 1. assign V842259 = V716870 - 1. assign V771597 = V397688. assign V117271 = V473843. assign V796824 = V184537 + 1. assign V273531 = V612262 - 1. assign V546771 = V796824 - 1. assign V515323 = V473843. assign V422029 = V647612 - 1. assign V302908 = V058022 + 1. assign V776513 = V681476. assign V863522 = V542459. assign V882486 = V454625 - 1. assign V699936 = V837867 + 1. assign V855334 = V903921 + 1. assign V868051 = V969112. assign V837867 = V597216. assign V575401 = V334956. assign V626997 = V257365 + 1. assign V647612 = V944036. assign V928870 = V801677. assign V153408 = V609881 + 1. assign V850558 = V597216 - 1. assign V597216 = V473843 - 1. assign V522534 = V647612 + 1. assign V418644 = V969112 - 1. assign V880778 = V542077. assign V863423 = V909344. assign V652695 = V194533 - 1. assign V320321 = V824064 + 1. assign V811977 = V473843. assign V066243 = V647612 - 1. assign V199070 = V837639 + 1. assign V969112 = V454592 - 1. assign V832533 = V928870. assign V741699 = V609881 + 1. assign V856677 = V249423 - 1. assign V358013 = V634551 - 1. assign V419272 = V553675. assign V634551 = V552813. assign V227341 = V681476. assign V287261 = V276648 + 1. assign V790350 = V619564 - 1. assign V484721 = V431106 - 1. assign V053740 = V348120 + 1. assign V017264 = V100390. assign V913335 = V984488. assign V801677 = V473843 - 1. assign V502817 = V634551. assign V999837 = V257365 + 1. assign V326257 = V542077 - 1. assign V272974 = V053740 + 1. assign V356899 = V037472. assign V774031 = V477237 + 1. assign V557121 = V612262 + 1. assign V288424 = V712967 + 1. assign V100390 = V058022 + 1. assign V944036 = V984488 - 1. assign V542459 = V903921 + 1. assign V793001 = V110526 + 1. assign V936998 = V863423 + 1. assign V123464 = V597216 - 1. assign V185246 = V903921. assign V454625 = 7.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V587817 = V597216 - 1. assign V778603 = V358013 - 1. assign V760487 = V273531. assign V013541 = V863423. assign V405830 = V522443 - 1. assign V408000 = V334956 + 1. assign V107241 = V801677 + 1. assign V680605 = V639224. assign V909344 = V110526 + 1. assign V285278 = V699936. assign V837639 = V903921. assign V281674 = V716870 - 1. assign V558493 = V647612 - 1. assign V879928 = V612262 - 1. assign V261855 = V903921 + 1. assign V319776 = V484721. assign V173568 = V100390. assign V454592 = V473843. assign V940692 = V477237. assign V784305 = V801677 - 1. assign V750317 = V863522. assign V149369 = V747071 + 1. assign V639224 = V473843 + 1. assign V895892 = V477237. assign V605897 = V928870 + 1. assign V407016 = V716870. assign V104437 = V525770 - 1. assign V397688 = V472679 + 1. assign V504157 = V515323 + 1. assign V835500 = V273531. assign V295337 = V431106 - 1. assign V975690 = V793001 + 1. assign V242880 = V716870 - 1. assign V546197 = V605897. assign V829920 = V531822. assign V508727 = V273531. assign V053566 = V075762 - 1. assign V426963 = V801677 + 1. assign V519678 = V285278 + 1. assign V994726 = V681476 + 1. assign V051054 = V465980 - 1. assign V483548 = V502817 + 1. assign V712967 = V829920 + 1. assign V552813 = V597216 + 1. assign V747071 = V123464 - 1. assign V956039 = V557121. assign V036485 = V123464 - 1. assign V328368 = V060854 - 1. assign V058022 = V273531 - 1. assign V348120 = V936998 + 1. assign V110526 = V984488 - 1. assign V276648 = V652695 + 1. assign V037472 = V531822. assign V310412 = V903921 + 1. assign V681476 = V334956. assign V609881 = V699936 + 1. assign V602431 = V397688 + 1. assign V404455 = V660121. assign V542077 = V597216. assign V633275 = V784305 + 1. assign V184537 = V760487. assign V573894 = V519678 - 1. assign V439771 = V680605 - 1. assign V324343 = V542077 - 1. assign V359689 = V639224 - 1. assign V970243 = V944036 - 1. assign V458120 = V612072 + 1. assign V991976 = V534910 + 1. assign V612072 = V913335 + 1. assign V553675 = V472679. assign V318537 = V913335 - 1. assign V477237 = V879928 - 1. assign V493297 = V473843 - 1. assign V334956 = V542077 - 1. assign V488984 = V909344 + 1. assign V824064 = V334956 - 1. assign V359457 = V199070. assign V903921 = V928870. assign V935015 = V123464 - 1. assign V525770 = V110526 - 1. assign V473843 = V984488 + 1. assign V249423 = V273531 - 1. assign V660121 = V639224 - 1. assign V257365 = V612262 - 1. assign V194533 = V348120. assign V619564 = V431106 + 1. assign V132005 = V909344. assign V723032 = V326257 - 1. assign V952622 = V531822. assign V508355 = V149369 + 1. assign V075762 = V612262. assign V574309 = V647612 - 1. assign V716870 = V273531. assign V060854 = V542077 - 1. assign V919117 = V837867 + 1. assign V013106 = V037472 - 1. assign V113811 = V557121 - 1. assign V287519 = V909344 - 1. assign V398948 = V534910. assign V333474 = V066243 - 1. assign V431106 = V936998. assign V515987 = V273531 - 1. assign V465980 = V348120 - 1. assign V531822 = V612262. assign V534910 = V288424 - 1. assign V335127 = V944036. assign V472679 = V110526. assign V612262 = V473843 + 1. assign V522443 = V760487 - 1. assign V842259 = V716870 - 1. assign V771597 = V397688. assign V117271 = V473843. assign V796824 = V184537 + 1. assign V273531 = V612262 - 1. assign V546771 = V796824 - 1. assign V515323 = V473843. assign V422029 = V647612 - 1. assign V302908 = V058022 + 1. assign V776513 = V681476. assign V863522 = V542459. assign V882486 = V454625 - 1. assign V699936 = V837867 + 1. assign V855334 = V903921 + 1. assign V868051 = V969112. assign V837867 = V597216. assign V575401 = V334956. assign V626997 = V257365 + 1. assign V647612 = V944036. assign V928870 = V801677. assign V153408 = V609881 + 1. assign V850558 = V597216 - 1. assign V597216 = V473843 - 1. assign V522534 = V647612 + 1. assign V418644 = V969112 - 1. assign V880778 = V542077. assign V863423 = V909344. assign V652695 = V194533 - 1. assign V320321 = V824064 + 1. assign V811977 = V473843. assign V066243 = V647612 - 1. assign V199070 = V837639 + 1. assign V969112 = V454592 - 1. assign V832533 = V928870. assign V741699 = V609881 + 1. assign V856677 = V249423 - 1. assign V358013 = V634551 - 1. assign V419272 = V553675. assign V634551 = V552813. assign V227341 = V681476. assign V287261 = V276648 + 1. assign V790350 = V619564 - 1. assign V484721 = V431106 - 1. assign V053740 = V348120 + 1. assign V017264 = V100390. assign V913335 = V984488. assign V801677 = V473843 - 1. assign V502817 = V634551. assign V999837 = V257365 + 1. assign V326257 = V542077 - 1. assign V272974 = V053740 + 1. assign V356899 = V037472. assign V774031 = V477237 + 1. assign V557121 = V612262 + 1. assign V288424 = V712967 + 1. assign V100390 = V058022 + 1. assign V944036 = V984488 - 1. assign V542459 = V903921 + 1. assign V793001 = V110526 + 1. assign V936998 = V863423 + 1. assign V123464 = V597216 - 1. assign V185246 = V903921. assign V454625 = 7.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV454625 = 7;\n\nFrom these direct assignment(s), we have: \nV882486 = V454625 - 1 = 7 - 1 =6;\nNo other variables can be derived from V882486;\nNo other variables can be derived from V454625;\n\nNow we have done all the calculations. Derived variables are:\nV454625 = 7;\nV882486 = 6;\n\nNow we have finished this problem. ANSWER:\nV454625\n", "role": "assistant" } ]

[ "V107908" ]

[ { "content": "<context>\nassign V552003 = V397580 + 1. assign V776384 = V659441 + 1. assign V346152 = V216041 + 1. assign V869148 = V478589 + 1. assign V473572 = V256648 + 1. assign V973257 = V884736 + 1. assign V219310 = V653886. assign V866507 = V256648 - 1. assign V520142 = V161052 - 1. assign V328301 = V570889 - 1. assign V384798 = V152774 - 1. assign V977546 = V152774 - 1. assign V321859 = V679390 - 1. assign V922829 = V253802. assign V437704 = V928872. assign V142824 = V828390 - 1. assign V813137 = V359060 + 1. assign V434934 = V720054 - 1. assign V343593 = V744109. assign V244255 = V378554. assign V841178 = V974692. assign V880337 = V922829 - 1. assign V649277 = V478589 - 1. assign V776410 = V475238 + 1. assign V827849 = V674201. assign V931169 = V776355. assign V537105 = V359060 + 1. assign V422376 = V973257 - 1. assign V728898 = V653886. assign V495355 = V306743. assign V932819 = V869148 + 1. assign V182909 = V321859 + 1. assign V884736 = V478589 - 1. assign V214702 = V478539. assign V128522 = V397580. assign V397580 = V500183 - 1. assign V035863 = V044884 - 1. assign V897048 = V321859 + 1. assign V717806 = V359060. assign V160007 = V917630 + 1. assign V259407 = V533245 + 1. assign V917630 = V253802 + 1. assign V670067 = V437704 - 1. assign V648757 = V744923. assign V092335 = V306743. assign V364825 = V973257 - 1. assign V776355 = V537105 - 1. assign V874493 = V253802 + 1. assign V269896 = V912176 - 1. assign V306743 = V253802 - 1. assign V378554 = V247582. assign V249521 = V259407 - 1. assign V551887 = V223162. assign V009388 = V473572 - 1. assign V552201 = V269896. assign V906664 = V922829 - 1. assign V994138 = V255592 - 1. assign V244734 = V259407. assign V989900 = V846400 + 1. assign V162567 = V160007 - 1. assign V357844 = V384798 + 1. assign V478539 = V728898 - 1. assign V665982 = V012436. assign V162530 = V744109. assign V184312 = V253802 - 1. assign V506858 = V184312 + 1. assign V057253 = V306743 + 1. assign V022531 = V776355. assign V012436 = V115594. assign V472284 = V674201. assign V500183 = V977546 + 1. assign V974058 = V744109 - 1. assign V255592 = V906664 - 1. assign V548257 = V269896 - 1. assign V900954 = V211658. assign V846769 = V537105 - 1. assign V659441 = V247582 + 1. assign V336361 = V975100 - 1. assign V560059 = V152774 - 1. assign V148029 = V977546. assign V480702 = V744109 + 1. assign V849722 = V844141 + 1. assign V694031 = V793737 + 1. assign V471964 = V659441. assign V861662 = V408748 + 1. assign V500343 = V437704 - 1. assign V209142 = V649277 + 1. assign V990058 = V035466 + 1. assign V291953 = V931169. assign V837956 = V478589 + 1. assign V974692 = V256648. assign V032815 = V922829 - 1. assign V640003 = V817875 + 1. assign V697634 = V537105. assign V720054 = V659441 - 1. assign V598691 = V846400 - 1. assign V321420 = V256648. assign V152774 = V253802 + 1. assign V011475 = V817875 - 1. assign V858325 = V253802 - 1. assign V391897 = V670801 + 1. assign V927069 = V977546 + 1. assign V931083 = V391897 + 1. assign V141505 = V837956. assign V550267 = V495355 - 1. assign V359060 = V846400 - 1. assign V844141 = V550267 - 1. assign V793737 = V044884 - 1. assign V912176 = V776410 + 1. assign V161052 = V975100 - 1. assign V846400 = V728898. assign V430972 = V115594. assign V059633 = V417242 - 1. assign V475238 = V550267. assign V089608 = 5. assign V717348 = V931169 - 1. assign V647284 = V906664 + 1. assign V044884 = V057253. assign V256648 = V653886 - 1. assign V747915 = V306743 + 1. assign V216041 = V161052 + 1. assign V496159 = V974692 + 1. assign V223162 = V697634 + 1. assign V694225 = V747915. assign V674201 = V928872 + 1. assign V975100 = V044884 + 1. assign V247582 = V478589. assign V744923 = V747915 + 1. assign V035181 = V665982 + 1. assign V750811 = V211658 + 1. assign V928872 = V495355 + 1. assign V723791 = V359060. assign V131510 = V244255. assign V573688 = V744923 - 1. assign V670801 = V537105 - 1. assign V473747 = V357844 + 1. assign V417242 = V012436 + 1. assign V779334 = V973257. assign V478589 = V152774. assign V160788 = V475238. assign V679390 = V035863 + 1. assign V177496 = V552201 + 1. assign V551488 = V306743 - 1. assign V939440 = V744109 + 1. assign V744109 = V922829 + 1. assign V669869 = V253802. assign V217605 = V974692 + 1. assign V664355 = V917630. assign V907247 = V035181 - 1. assign V514080 = V182909 - 1. assign V107908 = V089608 + 1. assign V653886 = V306743. assign V207351 = V162530 - 1. assign V828390 = V306743. assign V817875 = V359060. assign V319385 = V437704 - 1. assign V723114 = V907247 - 1. assign V035466 = V858325 + 1. assign V926302 = V500183. assign V507881 = V207331 + 1. assign V211658 = V306743 - 1. assign V533245 = V884736 + 1. assign V086380 = V244734 + 1. assign V751333 = V932819 + 1. assign V570889 = V931169. assign V115594 = V844141. assign V153083 = V917630. assign V408748 = V974058 - 1. assign V207331 = V844141 + 1. assign V722450 = V844141 - 1. assign V829416 = V397580. assign V679574 = V209142 + 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 V552003 = V397580 + 1. assign V776384 = V659441 + 1. assign V346152 = V216041 + 1. assign V869148 = V478589 + 1. assign V473572 = V256648 + 1. assign V973257 = V884736 + 1. assign V219310 = V653886. assign V866507 = V256648 - 1. assign V520142 = V161052 - 1. assign V328301 = V570889 - 1. assign V384798 = V152774 - 1. assign V977546 = V152774 - 1. assign V321859 = V679390 - 1. assign V922829 = V253802. assign V437704 = V928872. assign V142824 = V828390 - 1. assign V813137 = V359060 + 1. assign V434934 = V720054 - 1. assign V343593 = V744109. assign V244255 = V378554. assign V841178 = V974692. assign V880337 = V922829 - 1. assign V649277 = V478589 - 1. assign V776410 = V475238 + 1. assign V827849 = V674201. assign V931169 = V776355. assign V537105 = V359060 + 1. assign V422376 = V973257 - 1. assign V728898 = V653886. assign V495355 = V306743. assign V932819 = V869148 + 1. assign V182909 = V321859 + 1. assign V884736 = V478589 - 1. assign V214702 = V478539. assign V128522 = V397580. assign V397580 = V500183 - 1. assign V035863 = V044884 - 1. assign V897048 = V321859 + 1. assign V717806 = V359060. assign V160007 = V917630 + 1. assign V259407 = V533245 + 1. assign V917630 = V253802 + 1. assign V670067 = V437704 - 1. assign V648757 = V744923. assign V092335 = V306743. assign V364825 = V973257 - 1. assign V776355 = V537105 - 1. assign V874493 = V253802 + 1. assign V269896 = V912176 - 1. assign V306743 = V253802 - 1. assign V378554 = V247582. assign V249521 = V259407 - 1. assign V551887 = V223162. assign V009388 = V473572 - 1. assign V552201 = V269896. assign V906664 = V922829 - 1. assign V994138 = V255592 - 1. assign V244734 = V259407. assign V989900 = V846400 + 1. assign V162567 = V160007 - 1. assign V357844 = V384798 + 1. assign V478539 = V728898 - 1. assign V665982 = V012436. assign V162530 = V744109. assign V184312 = V253802 - 1. assign V506858 = V184312 + 1. assign V057253 = V306743 + 1. assign V022531 = V776355. assign V012436 = V115594. assign V472284 = V674201. assign V500183 = V977546 + 1. assign V974058 = V744109 - 1. assign V255592 = V906664 - 1. assign V548257 = V269896 - 1. assign V900954 = V211658. assign V846769 = V537105 - 1. assign V659441 = V247582 + 1. assign V336361 = V975100 - 1. assign V560059 = V152774 - 1. assign V148029 = V977546. assign V480702 = V744109 + 1. assign V849722 = V844141 + 1. assign V694031 = V793737 + 1. assign V471964 = V659441. assign V861662 = V408748 + 1. assign V500343 = V437704 - 1. assign V209142 = V649277 + 1. assign V990058 = V035466 + 1. assign V291953 = V931169. assign V837956 = V478589 + 1. assign V974692 = V256648. assign V032815 = V922829 - 1. assign V640003 = V817875 + 1. assign V697634 = V537105. assign V720054 = V659441 - 1. assign V598691 = V846400 - 1. assign V321420 = V256648. assign V152774 = V253802 + 1. assign V011475 = V817875 - 1. assign V858325 = V253802 - 1. assign V391897 = V670801 + 1. assign V927069 = V977546 + 1. assign V931083 = V391897 + 1. assign V141505 = V837956. assign V550267 = V495355 - 1. assign V359060 = V846400 - 1. assign V844141 = V550267 - 1. assign V793737 = V044884 - 1. assign V912176 = V776410 + 1. assign V161052 = V975100 - 1. assign V846400 = V728898. assign V430972 = V115594. assign V059633 = V417242 - 1. assign V475238 = V550267. assign V089608 = 5. assign V717348 = V931169 - 1. assign V647284 = V906664 + 1. assign V044884 = V057253. assign V256648 = V653886 - 1. assign V747915 = V306743 + 1. assign V216041 = V161052 + 1. assign V496159 = V974692 + 1. assign V223162 = V697634 + 1. assign V694225 = V747915. assign V674201 = V928872 + 1. assign V975100 = V044884 + 1. assign V247582 = V478589. assign V744923 = V747915 + 1. assign V035181 = V665982 + 1. assign V750811 = V211658 + 1. assign V928872 = V495355 + 1. assign V723791 = V359060. assign V131510 = V244255. assign V573688 = V744923 - 1. assign V670801 = V537105 - 1. assign V473747 = V357844 + 1. assign V417242 = V012436 + 1. assign V779334 = V973257. assign V478589 = V152774. assign V160788 = V475238. assign V679390 = V035863 + 1. assign V177496 = V552201 + 1. assign V551488 = V306743 - 1. assign V939440 = V744109 + 1. assign V744109 = V922829 + 1. assign V669869 = V253802. assign V217605 = V974692 + 1. assign V664355 = V917630. assign V907247 = V035181 - 1. assign V514080 = V182909 - 1. assign V107908 = V089608 + 1. assign V653886 = V306743. assign V207351 = V162530 - 1. assign V828390 = V306743. assign V817875 = V359060. assign V319385 = V437704 - 1. assign V723114 = V907247 - 1. assign V035466 = V858325 + 1. assign V926302 = V500183. assign V507881 = V207331 + 1. assign V211658 = V306743 - 1. assign V533245 = V884736 + 1. assign V086380 = V244734 + 1. assign V751333 = V932819 + 1. assign V570889 = V931169. assign V115594 = V844141. assign V153083 = V917630. assign V408748 = V974058 - 1. assign V207331 = V844141 + 1. assign V722450 = V844141 - 1. assign V829416 = V397580. assign V679574 = V209142 + 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):\nV089608 = 5;\n\nFrom these direct assignment(s), we have: \nV107908 = V089608 + 1 = 5 + 1 =6;\nNo other variables can be derived from V107908;\nNo other variables can be derived from V089608;\n\nNow we have done all the calculations. Derived variables are:\nV089608 = 5;\nV107908 = 6;\n\nNow we have finished this problem. ANSWER:\nV107908\n", "role": "assistant" } ]

[ "V069131" ]

[ { "content": "<context>\nassign V638419 = V341593 + 1. assign V224556 = V137690 + 1. assign V808734 = V325301 - 1. assign V663636 = V991819 - 1. assign V029339 = V465594. assign V363528 = V211938 + 1. assign V801901 = V170729. assign V483402 = V945288 + 1. assign V749279 = V818761. assign V520904 = V830825 + 1. assign V697148 = V886551 - 1. assign V154700 = V573334. assign V475457 = V737067 + 1. assign V498558 = V465594. assign V264930 = V341593 + 1. assign V389281 = V617432 + 1. assign V944040 = V055967 + 1. assign V334023 = V475923 - 1. assign V304721 = V745667. assign V258567 = V934147 + 1. assign V453851 = V363528. assign V284910 = V404155 - 1. assign V957655 = V793797 - 1. assign V813918 = V959329 + 1. assign V792403 = V956384. assign V727477 = V498558 - 1. assign V023665 = V029339 + 1. assign V782243 = V069131 - 1. assign V557192 = V945288. assign V068855 = V498558 - 1. assign V573334 = V818761 + 1. assign V236585 = V055967 + 1. assign V197246 = V158000 - 1. assign V105942 = V475457 + 1. assign V211938 = V737067 - 1. assign V711045 = V269039. assign V608767 = V343690. assign V306667 = V401385. assign V269039 = V341249 - 1. assign V498163 = V681103 - 1. assign V231032 = V727477 + 1. assign V157273 = V183122 - 1. assign V041330 = V404155 + 1. assign V837390 = V801901. assign V129715 = V202512 - 1. assign V668322 = V616319 - 1. assign V343690 = V211938 + 1. assign V376085 = V944040 - 1. assign V000560 = V293889 - 1. assign V858011 = V055967 + 1. assign V430914 = V335917 - 1. assign V002514 = V211938 - 1. assign V293889 = V029339. assign V283160 = V900881 - 1. assign V730875 = V057453 - 1. assign V174469 = V749279. assign V871199 = V745667 - 1. assign V331911 = V292037. assign V616481 = V137690 + 1. assign V471111 = V002514 - 1. assign V529983 = V124084. assign V457795 = V401385 + 1. assign V745667 = V616481 + 1. assign V404155 = V711045 - 1. assign V771556 = V730875. assign V349147 = V950983 - 1. assign V124084 = V269039. assign V315112 = V801901 - 1. assign V429979 = V182398 + 1. assign V592847 = V956384. assign V225880 = V224556. assign V616319 = V137690. assign V261197 = V363528. assign V950983 = V818761. assign V959329 = V349147 - 1. assign V978062 = V264930 + 1. assign V659041 = V950983 + 1. assign V045563 = V465594 + 1. assign V183122 = V363528. assign V821843 = V573334 + 1. assign V793797 = V737067 - 1. assign V526233 = V404155 - 1. assign V920939 = V619272. assign V157539 = V158000 - 1. assign V897345 = V264930. assign V603287 = V498558 - 1. assign V266802 = V513761. assign V216537 = V616481. assign V500868 = V870965 + 1. assign V617432 = V771556 - 1. assign V970878 = V341249 + 1. assign V086030 = V959329 + 1. assign V771337 = V365782 + 1. assign V966816 = V023665 + 1. assign V055967 = V231032 + 1. assign V072048 = V880494 + 1. assign V137690 = V498558 + 1. assign V475923 = V950983. assign V700189 = V269039 - 1. assign V870965 = V068855 - 1. assign V027524 = V341593 + 1. assign V170729 = V659041. assign V101820 = V513761. assign V046587 = V854763 + 1. assign V387529 = V211938. assign V854763 = V978062 - 1. assign V533682 = V072048 + 1. assign V825230 = V471111. assign V818761 = V202512 + 1. assign V991819 = V717704 - 1. assign V043221 = V202512 - 1. assign V996434 = V057453 - 1. assign V243558 = V700189. assign V456361 = V808734 + 1. assign V886551 = V154700. assign V069131 = 4. assign V116920 = V818761 + 1. assign V493323 = V280454. assign V414895 = V101820. assign V158000 = V498558 + 1. assign V274351 = V349147 + 1. assign V934147 = V737067. assign V900881 = V002514 + 1. assign V513761 = V950983 - 1. assign V465594 = V202512 - 1. assign V956384 = V513761 - 1. assign V285272 = V365782. assign V562782 = V956384. assign V764718 = V197246 - 1. assign V280454 = V950983 - 1. assign V057453 = V363528 + 1. assign V437783 = V086030 + 1. assign V716289 = V934147. assign V717704 = V264930. assign V742203 = V280454 - 1. assign V945288 = V659041 + 1. assign V182398 = V400813. assign V754591 = V437783 + 1. assign V828967 = V730875. assign V830825 = V996434 - 1. assign V678822 = V306667 + 1. assign V341593 = V269039 + 1. assign V703071 = V401385 - 1. assign V365782 = V280454 - 1. assign V619272 = V959329 + 1. assign V880494 = V211938. assign V573957 = V000560 - 1. assign V931940 = V280454 + 1. assign V737067 = V202512 - 1. assign V325301 = V264930 - 1. assign V632350 = V991819 - 1. assign V903889 = V959329 - 1. assign V401385 = V349147 + 1. assign V980878 = V341593. assign V400813 = V086030 - 1. assign V124608 = V211938. assign V308896 = V389281. assign V779555 = V754591 + 1. assign V768471 = V934147 - 1. assign V341249 = V465594 - 1. assign V335917 = V465594 + 1. assign V497521 = V258567 - 1. assign V037709 = V183122 + 1. assign V386323 = V304721 + 1. assign V292037 = V401385. assign V805920 = V616481. assign V280935 = V871745 - 1. assign V007054 = V258567 + 1. assign V681103 = V045563 + 1. assign V520466 = V754591. assign V611285 = V387529 + 1. assign V871745 = V608767 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V638419 = V341593 + 1. assign V224556 = V137690 + 1. assign V808734 = V325301 - 1. assign V663636 = V991819 - 1. assign V029339 = V465594. assign V363528 = V211938 + 1. assign V801901 = V170729. assign V483402 = V945288 + 1. assign V749279 = V818761. assign V520904 = V830825 + 1. assign V697148 = V886551 - 1. assign V154700 = V573334. assign V475457 = V737067 + 1. assign V498558 = V465594. assign V264930 = V341593 + 1. assign V389281 = V617432 + 1. assign V944040 = V055967 + 1. assign V334023 = V475923 - 1. assign V304721 = V745667. assign V258567 = V934147 + 1. assign V453851 = V363528. assign V284910 = V404155 - 1. assign V957655 = V793797 - 1. assign V813918 = V959329 + 1. assign V792403 = V956384. assign V727477 = V498558 - 1. assign V023665 = V029339 + 1. assign V782243 = V069131 - 1. assign V557192 = V945288. assign V068855 = V498558 - 1. assign V573334 = V818761 + 1. assign V236585 = V055967 + 1. assign V197246 = V158000 - 1. assign V105942 = V475457 + 1. assign V211938 = V737067 - 1. assign V711045 = V269039. assign V608767 = V343690. assign V306667 = V401385. assign V269039 = V341249 - 1. assign V498163 = V681103 - 1. assign V231032 = V727477 + 1. assign V157273 = V183122 - 1. assign V041330 = V404155 + 1. assign V837390 = V801901. assign V129715 = V202512 - 1. assign V668322 = V616319 - 1. assign V343690 = V211938 + 1. assign V376085 = V944040 - 1. assign V000560 = V293889 - 1. assign V858011 = V055967 + 1. assign V430914 = V335917 - 1. assign V002514 = V211938 - 1. assign V293889 = V029339. assign V283160 = V900881 - 1. assign V730875 = V057453 - 1. assign V174469 = V749279. assign V871199 = V745667 - 1. assign V331911 = V292037. assign V616481 = V137690 + 1. assign V471111 = V002514 - 1. assign V529983 = V124084. assign V457795 = V401385 + 1. assign V745667 = V616481 + 1. assign V404155 = V711045 - 1. assign V771556 = V730875. assign V349147 = V950983 - 1. assign V124084 = V269039. assign V315112 = V801901 - 1. assign V429979 = V182398 + 1. assign V592847 = V956384. assign V225880 = V224556. assign V616319 = V137690. assign V261197 = V363528. assign V950983 = V818761. assign V959329 = V349147 - 1. assign V978062 = V264930 + 1. assign V659041 = V950983 + 1. assign V045563 = V465594 + 1. assign V183122 = V363528. assign V821843 = V573334 + 1. assign V793797 = V737067 - 1. assign V526233 = V404155 - 1. assign V920939 = V619272. assign V157539 = V158000 - 1. assign V897345 = V264930. assign V603287 = V498558 - 1. assign V266802 = V513761. assign V216537 = V616481. assign V500868 = V870965 + 1. assign V617432 = V771556 - 1. assign V970878 = V341249 + 1. assign V086030 = V959329 + 1. assign V771337 = V365782 + 1. assign V966816 = V023665 + 1. assign V055967 = V231032 + 1. assign V072048 = V880494 + 1. assign V137690 = V498558 + 1. assign V475923 = V950983. assign V700189 = V269039 - 1. assign V870965 = V068855 - 1. assign V027524 = V341593 + 1. assign V170729 = V659041. assign V101820 = V513761. assign V046587 = V854763 + 1. assign V387529 = V211938. assign V854763 = V978062 - 1. assign V533682 = V072048 + 1. assign V825230 = V471111. assign V818761 = V202512 + 1. assign V991819 = V717704 - 1. assign V043221 = V202512 - 1. assign V996434 = V057453 - 1. assign V243558 = V700189. assign V456361 = V808734 + 1. assign V886551 = V154700. assign V069131 = 4. assign V116920 = V818761 + 1. assign V493323 = V280454. assign V414895 = V101820. assign V158000 = V498558 + 1. assign V274351 = V349147 + 1. assign V934147 = V737067. assign V900881 = V002514 + 1. assign V513761 = V950983 - 1. assign V465594 = V202512 - 1. assign V956384 = V513761 - 1. assign V285272 = V365782. assign V562782 = V956384. assign V764718 = V197246 - 1. assign V280454 = V950983 - 1. assign V057453 = V363528 + 1. assign V437783 = V086030 + 1. assign V716289 = V934147. assign V717704 = V264930. assign V742203 = V280454 - 1. assign V945288 = V659041 + 1. assign V182398 = V400813. assign V754591 = V437783 + 1. assign V828967 = V730875. assign V830825 = V996434 - 1. assign V678822 = V306667 + 1. assign V341593 = V269039 + 1. assign V703071 = V401385 - 1. assign V365782 = V280454 - 1. assign V619272 = V959329 + 1. assign V880494 = V211938. assign V573957 = V000560 - 1. assign V931940 = V280454 + 1. assign V737067 = V202512 - 1. assign V325301 = V264930 - 1. assign V632350 = V991819 - 1. assign V903889 = V959329 - 1. assign V401385 = V349147 + 1. assign V980878 = V341593. assign V400813 = V086030 - 1. assign V124608 = V211938. assign V308896 = V389281. assign V779555 = V754591 + 1. assign V768471 = V934147 - 1. assign V341249 = V465594 - 1. assign V335917 = V465594 + 1. assign V497521 = V258567 - 1. assign V037709 = V183122 + 1. assign V386323 = V304721 + 1. assign V292037 = V401385. assign V805920 = V616481. assign V280935 = V871745 - 1. assign V007054 = V258567 + 1. assign V681103 = V045563 + 1. assign V520466 = V754591. assign V611285 = V387529 + 1. assign V871745 = V608767 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV069131 = 4;\n\nFrom these direct assignment(s), we have: \nV782243 = V069131 - 1 = 4 - 1 =3;\nNo other variables can be derived from V782243;\nNo other variables can be derived from V069131;\n\nNow we have done all the calculations. Derived variables are:\nV069131 = 4;\nV782243 = 3;\n\nNow we have finished this problem. ANSWER:\nV069131\n", "role": "assistant" } ]

[ "V953978", "V992841" ]

[ { "content": "<context>\nassign V459553 = V318584 - 1. assign V485104 = V553376 + 1. assign V284353 = V671273 + 1. assign V727385 = V024439 - 1. assign V120616 = V491387 - 1. assign V244830 = V032065 + 1. assign V021570 = V175622. assign V057434 = V081122 + 1. assign V411364 = V107625 + 1. assign V994366 = V017560 + 1. assign V212270 = V024439 - 1. assign V596779 = V826262 - 1. assign V952664 = V831825 + 1. assign V369102 = V151076. assign V976314 = V033920 - 1. assign V584114 = V086193. assign V907683 = V187034. assign V322752 = V869740. assign V257123 = V952664 - 1. assign V444243 = V907683 + 1. assign V484046 = V779720. assign V118575 = V527278. assign V309702 = V671273 - 1. assign V542725 = V212270 - 1. assign V304467 = V142520 + 1. assign V032065 = V491387 - 1. assign V917187 = V491387 - 1. assign V429941 = V114155 - 1. assign V017560 = V032065 + 1. assign V545351 = V032065 - 1. assign V012003 = V657130. assign V142520 = V491387 - 1. assign V362527 = V779720 - 1. assign V684753 = V596779 - 1. assign V913973 = V096953 + 1. assign V263612 = V657130 - 1. assign V114155 = V779720 + 1. assign V973000 = V584114 + 1. assign V894363 = V654995 + 1. assign V217671 = V548789 + 1. assign V854258 = V266648. assign V766884 = V097816. assign V096953 = V976314. assign V828093 = V527278. assign V548789 = V097816. assign V086193 = V096953. assign V259145 = V526046 + 1. assign V640158 = V545351. assign V135232 = V149580 - 1. assign V687911 = V149580. assign V208859 = V427728 + 1. assign V151076 = V427728 - 1. assign V124499 = V651470 + 1. assign V741663 = V032065 + 1. assign V443774 = V318584 - 1. assign V965734 = V720294 + 1. assign V318584 = V537617. assign V579497 = V741663 + 1. assign V132931 = V321673 + 1. assign V536093 = V279586 + 1. assign V928391 = V912689 + 1. assign V420449 = V458685. assign V573448 = V651470 + 1. assign V526046 = V060857 + 1. assign V703102 = V548789 - 1. assign V831825 = V491387 - 1. assign V723907 = V907683. assign V149268 = V024439 - 1. assign V391667 = V901185. assign V746815 = V596779 + 1. assign V873848 = V033920 - 1. assign V826534 = V309702 - 1. assign V613190 = V081122 - 1. assign V579521 = V149268 - 1. assign V169079 = V307442 - 1. assign V825589 = V860559 + 1. assign V055241 = V596779. assign V427728 = V779720. assign V027028 = V697276 - 1. assign V538748 = V657130. assign V720294 = V252142. assign V837863 = V032065. assign V183778 = V175622 - 1. assign V909304 = V252142. assign V250221 = V381318 - 1. assign V216433 = V720294 + 1. assign V885049 = V837863. assign V060857 = V767175 - 1. assign V187034 = V720294. assign V097816 = V024439 + 1. assign V458685 = V684753. assign V252142 = V132931. assign V107625 = V086193 - 1. assign V149580 = V000627. assign V210396 = V616422 - 1. assign V718657 = V825589 + 1. assign V860559 = V032065 - 1. assign V333676 = V284353 + 1. assign V279586 = V097816 + 1. assign V991334 = V183778 + 1. assign V779720 = V657130 - 1. assign V553376 = V527278 + 1. assign V439194 = V338869. assign V024439 = V132931 + 1. assign V616901 = V362527. assign V767175 = V321673 + 1. assign V760718 = V657130 - 1. assign V657130 = V767175 + 1. assign V071619 = V131184. assign V536106 = V294103 + 1. assign V380387 = V831825 - 1. assign V266648 = V081122 - 1. assign V744943 = V901185. assign V992841 = V953978. assign V045777 = V142520 + 1. assign V934857 = V825589 - 1. assign V697276 = V767175. assign V528333 = V207224. assign V722582 = V294103 + 1. assign V725848 = V244830. assign V650206 = V968704 + 1. assign V826262 = V672405 + 1. assign V901185 = V917187 + 1. assign V033920 = V175622 - 1. assign V068459 = V142520. assign V343955 = V212270 - 1. assign V986293 = V208859 + 1. assign V270217 = V333676 + 1. assign V912689 = V968704 - 1. assign V654995 = V369102 - 1. assign V049568 = V120616 + 1. assign V081122 = V331397 - 1. assign V045185 = V799407. assign V115725 = V825589 - 1. assign V338869 = V362527 - 1. assign V672405 = V032065. assign V381318 = V579497. assign V491387 = V321673 + 1. assign V000627 = V333676 + 1. assign V896490 = V263612 + 1. assign V294103 = V613190 - 1. assign V953978 = 6. assign V616422 = V114155 + 1. assign V968382 = V279586 - 1. assign V671273 = V024439. assign V933158 = V917187 + 1. assign V183679 = V584114 - 1. assign V136845 = V640158 + 1. assign V175622 = V657130 - 1. assign V897189 = V684753 - 1. assign V331397 = V767175 + 1. assign V799407 = V318584. assign V214840 = V000627 + 1. assign V537617 = V917187 - 1. assign V968704 = V703102 - 1. assign V990746 = V060857 - 1. assign V089545 = V825589. assign V318546 = V279586 - 1. assign V314018 = V573448 + 1. assign V136109 = V825589 + 1. assign V948267 = V741663 - 1. assign V696017 = V131184 - 1. assign V131184 = V032065. assign V982376 = V149268. assign V307442 = V068459 + 1. assign V175939 = V825589 - 1. assign V890258 = V826262 + 1. assign V869740 = V671273. assign V527278 = V033920. assign V207224 = V131184 + 1. assign V844380 = V151076. assign V651470 = V687911 + 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 V459553 = V318584 - 1. assign V485104 = V553376 + 1. assign V284353 = V671273 + 1. assign V727385 = V024439 - 1. assign V120616 = V491387 - 1. assign V244830 = V032065 + 1. assign V021570 = V175622. assign V057434 = V081122 + 1. assign V411364 = V107625 + 1. assign V994366 = V017560 + 1. assign V212270 = V024439 - 1. assign V596779 = V826262 - 1. assign V952664 = V831825 + 1. assign V369102 = V151076. assign V976314 = V033920 - 1. assign V584114 = V086193. assign V907683 = V187034. assign V322752 = V869740. assign V257123 = V952664 - 1. assign V444243 = V907683 + 1. assign V484046 = V779720. assign V118575 = V527278. assign V309702 = V671273 - 1. assign V542725 = V212270 - 1. assign V304467 = V142520 + 1. assign V032065 = V491387 - 1. assign V917187 = V491387 - 1. assign V429941 = V114155 - 1. assign V017560 = V032065 + 1. assign V545351 = V032065 - 1. assign V012003 = V657130. assign V142520 = V491387 - 1. assign V362527 = V779720 - 1. assign V684753 = V596779 - 1. assign V913973 = V096953 + 1. assign V263612 = V657130 - 1. assign V114155 = V779720 + 1. assign V973000 = V584114 + 1. assign V894363 = V654995 + 1. assign V217671 = V548789 + 1. assign V854258 = V266648. assign V766884 = V097816. assign V096953 = V976314. assign V828093 = V527278. assign V548789 = V097816. assign V086193 = V096953. assign V259145 = V526046 + 1. assign V640158 = V545351. assign V135232 = V149580 - 1. assign V687911 = V149580. assign V208859 = V427728 + 1. assign V151076 = V427728 - 1. assign V124499 = V651470 + 1. assign V741663 = V032065 + 1. assign V443774 = V318584 - 1. assign V965734 = V720294 + 1. assign V318584 = V537617. assign V579497 = V741663 + 1. assign V132931 = V321673 + 1. assign V536093 = V279586 + 1. assign V928391 = V912689 + 1. assign V420449 = V458685. assign V573448 = V651470 + 1. assign V526046 = V060857 + 1. assign V703102 = V548789 - 1. assign V831825 = V491387 - 1. assign V723907 = V907683. assign V149268 = V024439 - 1. assign V391667 = V901185. assign V746815 = V596779 + 1. assign V873848 = V033920 - 1. assign V826534 = V309702 - 1. assign V613190 = V081122 - 1. assign V579521 = V149268 - 1. assign V169079 = V307442 - 1. assign V825589 = V860559 + 1. assign V055241 = V596779. assign V427728 = V779720. assign V027028 = V697276 - 1. assign V538748 = V657130. assign V720294 = V252142. assign V837863 = V032065. assign V183778 = V175622 - 1. assign V909304 = V252142. assign V250221 = V381318 - 1. assign V216433 = V720294 + 1. assign V885049 = V837863. assign V060857 = V767175 - 1. assign V187034 = V720294. assign V097816 = V024439 + 1. assign V458685 = V684753. assign V252142 = V132931. assign V107625 = V086193 - 1. assign V149580 = V000627. assign V210396 = V616422 - 1. assign V718657 = V825589 + 1. assign V860559 = V032065 - 1. assign V333676 = V284353 + 1. assign V279586 = V097816 + 1. assign V991334 = V183778 + 1. assign V779720 = V657130 - 1. assign V553376 = V527278 + 1. assign V439194 = V338869. assign V024439 = V132931 + 1. assign V616901 = V362527. assign V767175 = V321673 + 1. assign V760718 = V657130 - 1. assign V657130 = V767175 + 1. assign V071619 = V131184. assign V536106 = V294103 + 1. assign V380387 = V831825 - 1. assign V266648 = V081122 - 1. assign V744943 = V901185. assign V992841 = V953978. assign V045777 = V142520 + 1. assign V934857 = V825589 - 1. assign V697276 = V767175. assign V528333 = V207224. assign V722582 = V294103 + 1. assign V725848 = V244830. assign V650206 = V968704 + 1. assign V826262 = V672405 + 1. assign V901185 = V917187 + 1. assign V033920 = V175622 - 1. assign V068459 = V142520. assign V343955 = V212270 - 1. assign V986293 = V208859 + 1. assign V270217 = V333676 + 1. assign V912689 = V968704 - 1. assign V654995 = V369102 - 1. assign V049568 = V120616 + 1. assign V081122 = V331397 - 1. assign V045185 = V799407. assign V115725 = V825589 - 1. assign V338869 = V362527 - 1. assign V672405 = V032065. assign V381318 = V579497. assign V491387 = V321673 + 1. assign V000627 = V333676 + 1. assign V896490 = V263612 + 1. assign V294103 = V613190 - 1. assign V953978 = 6. assign V616422 = V114155 + 1. assign V968382 = V279586 - 1. assign V671273 = V024439. assign V933158 = V917187 + 1. assign V183679 = V584114 - 1. assign V136845 = V640158 + 1. assign V175622 = V657130 - 1. assign V897189 = V684753 - 1. assign V331397 = V767175 + 1. assign V799407 = V318584. assign V214840 = V000627 + 1. assign V537617 = V917187 - 1. assign V968704 = V703102 - 1. assign V990746 = V060857 - 1. assign V089545 = V825589. assign V318546 = V279586 - 1. assign V314018 = V573448 + 1. assign V136109 = V825589 + 1. assign V948267 = V741663 - 1. assign V696017 = V131184 - 1. assign V131184 = V032065. assign V982376 = V149268. assign V307442 = V068459 + 1. assign V175939 = V825589 - 1. assign V890258 = V826262 + 1. assign V869740 = V671273. assign V527278 = V033920. assign V207224 = V131184 + 1. assign V844380 = V151076. assign V651470 = V687911 + 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):\nV953978 = 6;\n\nFrom these direct assignment(s), we have: \nV992841 = V953978 = 6;\nNo other variables can be derived from V992841;\nNo other variables can be derived from V953978;\n\nNow we have done all the calculations. Derived variables are:\nV953978 = 6;\nV992841 = 6;\n\nNow we have finished this problem. ANSWER:\nV953978, V992841\n", "role": "assistant" } ]

[ "V738502" ]

[ { "content": "<context>\nassign V323266 = V740143. assign V481199 = V809745 - 1. assign V837990 = V004462 - 1. assign V869650 = V973566 + 1. assign V189678 = V604060. assign V020612 = V751162 + 1. assign V328024 = V093844 + 1. assign V594485 = V750568 + 1. assign V676791 = V594485. assign V631210 = V353969 + 1. assign V664454 = V360888 - 1. assign V582243 = V763503. assign V318601 = V004462. assign V272444 = V485956 - 1. assign V387892 = V109860. assign V045219 = V358104. assign V170776 = V881852. assign V554905 = V093844 + 1. assign V802349 = V797087. assign V255205 = V093844. assign V815754 = V038313 + 1. assign V294312 = V038313 - 1. assign V341590 = V699460 - 1. assign V809795 = V353969. assign V116427 = V646731. assign V103352 = V109860. assign V797087 = V947820 + 1. assign V231121 = V902862. assign V038313 = V809745. assign V590844 = V740143 - 1. assign V187004 = V387892 + 1. assign V783348 = V300863 - 1. assign V264846 = V766755 + 1. assign V054492 = V594485 - 1. assign V604060 = V956317. assign V855875 = V797087. assign V674681 = V809745 + 1. assign V249851 = V361263 + 1. assign V074253 = V439623. assign V254395 = V439623 + 1. assign V283163 = V487953 - 1. assign V903779 = V354508. assign V246896 = V241158. assign V361263 = V869802 - 1. assign V133180 = V032242 + 1. assign V360222 = V187004 + 1. assign V482693 = V947820. assign V672787 = V673947. assign V523297 = V361263 - 1. assign V547017 = V816115. assign V551849 = V947820. assign V092691 = V763503 + 1. assign V360888 = V359431. assign V540309 = V902862 - 1. assign V202977 = V283163 - 1. assign V947820 = V676791 + 1. assign V032242 = V354508 + 1. assign V411396 = V869802 + 1. assign V973566 = V490313. assign V217823 = V594485. assign V490313 = V246780. assign V631887 = V540316. assign V646731 = V252628 + 1. assign V611414 = V750568 - 1. assign V259238 = V093844. assign V934911 = V554905 + 1. assign V102044 = V241158 + 1. assign V093844 = V756570. assign V096825 = V738872 + 1. assign V850493 = V802349. assign V330392 = V751162 - 1. assign V700652 = V283163 - 1. assign V109860 = V054492 - 1. assign V023564 = V699460. assign V548563 = V903779. assign V211753 = V675114. assign V722696 = V837990 - 1. assign V881852 = V907808. assign V738872 = V485956 - 1. assign V673947 = V903779 - 1. assign V911255 = V750568. assign V817900 = V902862 - 1. assign V727367 = V797266 + 1. assign V797266 = V594485 + 1. assign V540316 = V032242 + 1. assign V655084 = V664454 - 1. assign V679325 = V809745. assign V124720 = V092691 - 1. assign V924836 = V322772 + 1. assign V072766 = V631210. assign V176014 = V231121 - 1. assign V367940 = V911255 - 1. assign V440625 = V994083. assign V513858 = V869802 + 1. assign V027870 = V032242 - 1. assign V485956 = V439623 + 1. assign V917871 = V816115 + 1. assign V412423 = V816115 - 1. assign V852431 = V673947. assign V358104 = V802349 + 1. assign V918938 = V540316. assign V991977 = V655084 + 1. assign V019858 = V816115 + 1. assign V979891 = V869802. assign V738502 = 5. assign V922630 = V802349. assign V800516 = V915379 - 1. assign V008051 = V959997. assign V902862 = V724535. assign V692972 = V881852 + 1. assign V123282 = V054492. assign V365636 = V869650. assign V615792 = V272444. assign V487953 = V750568. assign V215629 = V038313. assign V452533 = V594485. assign V241158 = V797266 + 1. assign V359431 = V594485 - 1. assign V542956 = V907808. assign V353969 = V202977 - 1. assign V883543 = V915379. assign V157437 = V918938. assign V354508 = V816115. assign V766755 = V763503 + 1. assign V332488 = V797266. assign V322772 = V242868 - 1. assign V869802 = V054492. assign V371084 = V576420. assign V458009 = V979891 - 1. assign V751162 = V387892 - 1. assign V530510 = V763503 + 1. assign V321770 = V576420. assign V816115 = V487953 - 1. assign V959997 = V359431. assign V792972 = V918938 + 1. assign V907808 = V930850. assign V153068 = V328024 + 1. assign V878765 = V869650 + 1. assign V576420 = V750568. assign V830664 = V361263. assign V129439 = V006861 + 1. assign V041316 = V604060. assign V300863 = V387892 + 1. assign V675114 = V217823 + 1. assign V497801 = V270331 + 1. assign V699460 = V797266 + 1. assign V207820 = V023564 + 1. assign V006861 = V947820 - 1. assign V328439 = V738502 - 1. assign V004462 = V727367. assign V037606 = V855875. assign V246780 = V054492 - 1. assign V809745 = V947820. assign V956317 = V797266 - 1. assign V285003 = V959997 + 1. assign V994083 = V153068 + 1. assign V724535 = V359431 - 1. assign V242868 = V740143 - 1. assign V439623 = V809745 - 1. assign V164852 = V959997. assign V335788 = V554905 + 1. assign V924330 = V548563 - 1. assign V915379 = V673947. assign V398948 = V129439. assign V270331 = V922630 + 1. assign V708938 = V881852 - 1. assign V763503 = V387892 - 1. assign V756570 = V054492 + 1. assign V252628 = V523297. assign V930850 = V387892 + 1. assign V740143 = V699460 + 1. assign V143113 = V361263.\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 V323266 = V740143. assign V481199 = V809745 - 1. assign V837990 = V004462 - 1. assign V869650 = V973566 + 1. assign V189678 = V604060. assign V020612 = V751162 + 1. assign V328024 = V093844 + 1. assign V594485 = V750568 + 1. assign V676791 = V594485. assign V631210 = V353969 + 1. assign V664454 = V360888 - 1. assign V582243 = V763503. assign V318601 = V004462. assign V272444 = V485956 - 1. assign V387892 = V109860. assign V045219 = V358104. assign V170776 = V881852. assign V554905 = V093844 + 1. assign V802349 = V797087. assign V255205 = V093844. assign V815754 = V038313 + 1. assign V294312 = V038313 - 1. assign V341590 = V699460 - 1. assign V809795 = V353969. assign V116427 = V646731. assign V103352 = V109860. assign V797087 = V947820 + 1. assign V231121 = V902862. assign V038313 = V809745. assign V590844 = V740143 - 1. assign V187004 = V387892 + 1. assign V783348 = V300863 - 1. assign V264846 = V766755 + 1. assign V054492 = V594485 - 1. assign V604060 = V956317. assign V855875 = V797087. assign V674681 = V809745 + 1. assign V249851 = V361263 + 1. assign V074253 = V439623. assign V254395 = V439623 + 1. assign V283163 = V487953 - 1. assign V903779 = V354508. assign V246896 = V241158. assign V361263 = V869802 - 1. assign V133180 = V032242 + 1. assign V360222 = V187004 + 1. assign V482693 = V947820. assign V672787 = V673947. assign V523297 = V361263 - 1. assign V547017 = V816115. assign V551849 = V947820. assign V092691 = V763503 + 1. assign V360888 = V359431. assign V540309 = V902862 - 1. assign V202977 = V283163 - 1. assign V947820 = V676791 + 1. assign V032242 = V354508 + 1. assign V411396 = V869802 + 1. assign V973566 = V490313. assign V217823 = V594485. assign V490313 = V246780. assign V631887 = V540316. assign V646731 = V252628 + 1. assign V611414 = V750568 - 1. assign V259238 = V093844. assign V934911 = V554905 + 1. assign V102044 = V241158 + 1. assign V093844 = V756570. assign V096825 = V738872 + 1. assign V850493 = V802349. assign V330392 = V751162 - 1. assign V700652 = V283163 - 1. assign V109860 = V054492 - 1. assign V023564 = V699460. assign V548563 = V903779. assign V211753 = V675114. assign V722696 = V837990 - 1. assign V881852 = V907808. assign V738872 = V485956 - 1. assign V673947 = V903779 - 1. assign V911255 = V750568. assign V817900 = V902862 - 1. assign V727367 = V797266 + 1. assign V797266 = V594485 + 1. assign V540316 = V032242 + 1. assign V655084 = V664454 - 1. assign V679325 = V809745. assign V124720 = V092691 - 1. assign V924836 = V322772 + 1. assign V072766 = V631210. assign V176014 = V231121 - 1. assign V367940 = V911255 - 1. assign V440625 = V994083. assign V513858 = V869802 + 1. assign V027870 = V032242 - 1. assign V485956 = V439623 + 1. assign V917871 = V816115 + 1. assign V412423 = V816115 - 1. assign V852431 = V673947. assign V358104 = V802349 + 1. assign V918938 = V540316. assign V991977 = V655084 + 1. assign V019858 = V816115 + 1. assign V979891 = V869802. assign V738502 = 5. assign V922630 = V802349. assign V800516 = V915379 - 1. assign V008051 = V959997. assign V902862 = V724535. assign V692972 = V881852 + 1. assign V123282 = V054492. assign V365636 = V869650. assign V615792 = V272444. assign V487953 = V750568. assign V215629 = V038313. assign V452533 = V594485. assign V241158 = V797266 + 1. assign V359431 = V594485 - 1. assign V542956 = V907808. assign V353969 = V202977 - 1. assign V883543 = V915379. assign V157437 = V918938. assign V354508 = V816115. assign V766755 = V763503 + 1. assign V332488 = V797266. assign V322772 = V242868 - 1. assign V869802 = V054492. assign V371084 = V576420. assign V458009 = V979891 - 1. assign V751162 = V387892 - 1. assign V530510 = V763503 + 1. assign V321770 = V576420. assign V816115 = V487953 - 1. assign V959997 = V359431. assign V792972 = V918938 + 1. assign V907808 = V930850. assign V153068 = V328024 + 1. assign V878765 = V869650 + 1. assign V576420 = V750568. assign V830664 = V361263. assign V129439 = V006861 + 1. assign V041316 = V604060. assign V300863 = V387892 + 1. assign V675114 = V217823 + 1. assign V497801 = V270331 + 1. assign V699460 = V797266 + 1. assign V207820 = V023564 + 1. assign V006861 = V947820 - 1. assign V328439 = V738502 - 1. assign V004462 = V727367. assign V037606 = V855875. assign V246780 = V054492 - 1. assign V809745 = V947820. assign V956317 = V797266 - 1. assign V285003 = V959997 + 1. assign V994083 = V153068 + 1. assign V724535 = V359431 - 1. assign V242868 = V740143 - 1. assign V439623 = V809745 - 1. assign V164852 = V959997. assign V335788 = V554905 + 1. assign V924330 = V548563 - 1. assign V915379 = V673947. assign V398948 = V129439. assign V270331 = V922630 + 1. assign V708938 = V881852 - 1. assign V763503 = V387892 - 1. assign V756570 = V054492 + 1. assign V252628 = V523297. assign V930850 = V387892 + 1. assign V740143 = V699460 + 1. assign V143113 = V361263.\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):\nV738502 = 5;\n\nFrom these direct assignment(s), we have: \nV328439 = V738502 - 1 = 5 - 1 =4;\nNo other variables can be derived from V328439;\nNo other variables can be derived from V738502;\n\nNow we have done all the calculations. Derived variables are:\nV738502 = 5;\nV328439 = 4;\n\nNow we have finished this problem. ANSWER:\nV738502\n", "role": "assistant" } ]

[ "V583941" ]

[ { "content": "<context>\nassign V769332 = V145077. assign V538050 = V000601 + 1. assign V513243 = V815639 - 1. assign V701269 = V347235 + 1. assign V213948 = V151083. assign V677113 = V334082 - 1. assign V357081 = V056429 + 1. assign V680131 = V691644 - 1. assign V862322 = V861469 - 1. assign V134639 = V803060. assign V839935 = V900818 - 1. assign V691644 = V621211 + 1. assign V592225 = V699590 - 1. assign V560337 = V783773. assign V305350 = V975301. assign V532438 = V175826 - 1. assign V900818 = V126231. assign V149212 = V699590 - 1. assign V329318 = V050464. assign V829273 = V769332. assign V145077 = V988130 - 1. assign V601968 = V357081 + 1. assign V354980 = V691644 - 1. assign V396820 = V338891 - 1. assign V456610 = V829273 + 1. assign V361792 = V972720 + 1. assign V000601 = V934013 - 1. assign V689662 = V991684 + 1. assign V243982 = V861439. assign V597594 = V402546 + 1. assign V890260 = V689894. assign V900541 = V201618 - 1. assign V151083 = V020952 + 1. assign V462446 = V843714 - 1. assign V681022 = V056429. assign V998320 = V955890 + 1. assign V444823 = V150518 - 1. assign V975301 = V499121. assign V205798 = V975301 - 1. assign V126231 = V388842 + 1. assign V799893 = V783773. assign V430659 = V546794 + 1. assign V628891 = V783773 + 1. assign V888373 = V000601 + 1. assign V056805 = V000601 + 1. assign V127751 = V028204. assign V289019 = V338891. assign V334082 = V269121 + 1. assign V073220 = V844072 - 1. assign V175826 = V783773 + 1. assign V621211 = V628891 + 1. assign V664453 = V151083 - 1. assign V388842 = V175826 - 1. assign V988980 = 7. assign V892754 = V972720 + 1. assign V699590 = V486461. assign V241342 = V879700 - 1. assign V687915 = V844072 - 1. assign V200991 = V000601 + 1. assign V902745 = V341421 - 1. assign V844072 = V134639 + 1. assign V765780 = V601968. assign V108635 = V150518 + 1. assign V067351 = V269121 - 1. assign V410302 = V259164 - 1. assign V546794 = V388842. assign V190783 = V861469 + 1. assign V174285 = V532438. assign V829330 = V225530. assign V337142 = V268469 - 1. assign V731574 = V337142. assign V861469 = V358825. assign V649225 = V174285 + 1. assign V055966 = V840368 - 1. assign V756409 = V194947 + 1. assign V499121 = V175826 - 1. assign V167246 = V560337 + 1. assign V293720 = V538050. assign V698053 = V519103. assign V268469 = V538050 + 1. assign V336194 = V592225 + 1. assign V523187 = V831686 + 1. assign V519103 = V560337 + 1. assign V485677 = V765780 - 1. assign V889176 = V783773 + 1. assign V804110 = V020952 + 1. assign V963520 = V478249 - 1. assign V583941 = V988980 - 1. assign V832645 = V293720 - 1. assign V400011 = V513243 - 1. assign V894022 = V269121 + 1. assign V583845 = V783773 + 1. assign V173617 = V691644 - 1. assign V908669 = V783773. assign V338891 = V151083 + 1. assign V595755 = V560337. assign V563437 = V400011. assign V991684 = V174285 + 1. assign V150518 = V194947 + 1. assign V056429 = V628891. assign V717030 = V538050. assign V201618 = V357081 - 1. assign V850703 = V042250 + 1. assign V955890 = V194947 - 1. assign V478249 = V699590 - 1. assign V861439 = V108635. assign V259164 = V888373 + 1. assign V788214 = V133604. assign V411677 = V269121 + 1. assign V269121 = V769332. assign V133604 = V621211 + 1. assign V843714 = V803060 - 1. assign V185719 = V831686 + 1. assign V564284 = V765780 - 1. assign V865107 = V213948 - 1. assign V322234 = V815639 + 1. assign V194947 = V532438. assign V042250 = V020952. assign V948324 = V305350 - 1. assign V358825 = V167246 - 1. assign V911299 = V953871. assign V934013 = V388842. assign V146339 = V783773. assign V288356 = V056429 + 1. assign V251857 = V145077 - 1. assign V803060 = V908669 + 1. assign V616327 = V664453 + 1. assign V879700 = V519103 + 1. assign V515255 = V991981. assign V965537 = V699590 - 1. assign V020952 = V934013 + 1. assign V718152 = V850703. assign V228895 = V879700 - 1. assign V527530 = V908669 + 1. assign V988130 = V783773 - 1. assign V341421 = V879700. assign V675983 = V616327 + 1. assign V875603 = V900818. assign V714400 = V683150 + 1. assign V119699 = V213948 + 1. assign V038499 = V701269 - 1. assign V878375 = V628891. assign V107894 = V844072. assign V831686 = V621211. assign V953871 = V908669 - 1. assign V815639 = V108635. assign V683150 = V628891. assign V225530 = V499121 + 1. assign V153187 = V804110. assign V799323 = V396820. assign V972720 = V908669. assign V709857 = V150518 + 1. assign V354630 = V529427 + 1. assign V848116 = V073220 + 1. assign V529427 = V601968 + 1. assign V549290 = V167246 + 1. assign V028204 = V628891 - 1. assign V616628 = V988130 - 1. assign V453027 = V201618 + 1. assign V560898 = V804110 + 1. assign V668386 = V538050. assign V781573 = V358825 + 1. assign V347235 = V908669 + 1. assign V689894 = V527530. assign V261757 = V056805 - 1. assign V840368 = V803060 + 1. assign V402546 = V560337 + 1. assign V486461 = V532438 - 1. assign V050464 = V358825 - 1. assign V991981 = V396820 - 1. assign V272935 = V878375 + 1. assign V233224 = V151083 - 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 V769332 = V145077. assign V538050 = V000601 + 1. assign V513243 = V815639 - 1. assign V701269 = V347235 + 1. assign V213948 = V151083. assign V677113 = V334082 - 1. assign V357081 = V056429 + 1. assign V680131 = V691644 - 1. assign V862322 = V861469 - 1. assign V134639 = V803060. assign V839935 = V900818 - 1. assign V691644 = V621211 + 1. assign V592225 = V699590 - 1. assign V560337 = V783773. assign V305350 = V975301. assign V532438 = V175826 - 1. assign V900818 = V126231. assign V149212 = V699590 - 1. assign V329318 = V050464. assign V829273 = V769332. assign V145077 = V988130 - 1. assign V601968 = V357081 + 1. assign V354980 = V691644 - 1. assign V396820 = V338891 - 1. assign V456610 = V829273 + 1. assign V361792 = V972720 + 1. assign V000601 = V934013 - 1. assign V689662 = V991684 + 1. assign V243982 = V861439. assign V597594 = V402546 + 1. assign V890260 = V689894. assign V900541 = V201618 - 1. assign V151083 = V020952 + 1. assign V462446 = V843714 - 1. assign V681022 = V056429. assign V998320 = V955890 + 1. assign V444823 = V150518 - 1. assign V975301 = V499121. assign V205798 = V975301 - 1. assign V126231 = V388842 + 1. assign V799893 = V783773. assign V430659 = V546794 + 1. assign V628891 = V783773 + 1. assign V888373 = V000601 + 1. assign V056805 = V000601 + 1. assign V127751 = V028204. assign V289019 = V338891. assign V334082 = V269121 + 1. assign V073220 = V844072 - 1. assign V175826 = V783773 + 1. assign V621211 = V628891 + 1. assign V664453 = V151083 - 1. assign V388842 = V175826 - 1. assign V988980 = 7. assign V892754 = V972720 + 1. assign V699590 = V486461. assign V241342 = V879700 - 1. assign V687915 = V844072 - 1. assign V200991 = V000601 + 1. assign V902745 = V341421 - 1. assign V844072 = V134639 + 1. assign V765780 = V601968. assign V108635 = V150518 + 1. assign V067351 = V269121 - 1. assign V410302 = V259164 - 1. assign V546794 = V388842. assign V190783 = V861469 + 1. assign V174285 = V532438. assign V829330 = V225530. assign V337142 = V268469 - 1. assign V731574 = V337142. assign V861469 = V358825. assign V649225 = V174285 + 1. assign V055966 = V840368 - 1. assign V756409 = V194947 + 1. assign V499121 = V175826 - 1. assign V167246 = V560337 + 1. assign V293720 = V538050. assign V698053 = V519103. assign V268469 = V538050 + 1. assign V336194 = V592225 + 1. assign V523187 = V831686 + 1. assign V519103 = V560337 + 1. assign V485677 = V765780 - 1. assign V889176 = V783773 + 1. assign V804110 = V020952 + 1. assign V963520 = V478249 - 1. assign V583941 = V988980 - 1. assign V832645 = V293720 - 1. assign V400011 = V513243 - 1. assign V894022 = V269121 + 1. assign V583845 = V783773 + 1. assign V173617 = V691644 - 1. assign V908669 = V783773. assign V338891 = V151083 + 1. assign V595755 = V560337. assign V563437 = V400011. assign V991684 = V174285 + 1. assign V150518 = V194947 + 1. assign V056429 = V628891. assign V717030 = V538050. assign V201618 = V357081 - 1. assign V850703 = V042250 + 1. assign V955890 = V194947 - 1. assign V478249 = V699590 - 1. assign V861439 = V108635. assign V259164 = V888373 + 1. assign V788214 = V133604. assign V411677 = V269121 + 1. assign V269121 = V769332. assign V133604 = V621211 + 1. assign V843714 = V803060 - 1. assign V185719 = V831686 + 1. assign V564284 = V765780 - 1. assign V865107 = V213948 - 1. assign V322234 = V815639 + 1. assign V194947 = V532438. assign V042250 = V020952. assign V948324 = V305350 - 1. assign V358825 = V167246 - 1. assign V911299 = V953871. assign V934013 = V388842. assign V146339 = V783773. assign V288356 = V056429 + 1. assign V251857 = V145077 - 1. assign V803060 = V908669 + 1. assign V616327 = V664453 + 1. assign V879700 = V519103 + 1. assign V515255 = V991981. assign V965537 = V699590 - 1. assign V020952 = V934013 + 1. assign V718152 = V850703. assign V228895 = V879700 - 1. assign V527530 = V908669 + 1. assign V988130 = V783773 - 1. assign V341421 = V879700. assign V675983 = V616327 + 1. assign V875603 = V900818. assign V714400 = V683150 + 1. assign V119699 = V213948 + 1. assign V038499 = V701269 - 1. assign V878375 = V628891. assign V107894 = V844072. assign V831686 = V621211. assign V953871 = V908669 - 1. assign V815639 = V108635. assign V683150 = V628891. assign V225530 = V499121 + 1. assign V153187 = V804110. assign V799323 = V396820. assign V972720 = V908669. assign V709857 = V150518 + 1. assign V354630 = V529427 + 1. assign V848116 = V073220 + 1. assign V529427 = V601968 + 1. assign V549290 = V167246 + 1. assign V028204 = V628891 - 1. assign V616628 = V988130 - 1. assign V453027 = V201618 + 1. assign V560898 = V804110 + 1. assign V668386 = V538050. assign V781573 = V358825 + 1. assign V347235 = V908669 + 1. assign V689894 = V527530. assign V261757 = V056805 - 1. assign V840368 = V803060 + 1. assign V402546 = V560337 + 1. assign V486461 = V532438 - 1. assign V050464 = V358825 - 1. assign V991981 = V396820 - 1. assign V272935 = V878375 + 1. assign V233224 = V151083 - 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):\nV988980 = 7;\n\nFrom these direct assignment(s), we have: \nV583941 = V988980 - 1 = 7 - 1 =6;\nNo other variables can be derived from V583941;\nNo other variables can be derived from V988980;\n\nNow we have done all the calculations. Derived variables are:\nV988980 = 7;\nV583941 = 6;\n\nNow we have finished this problem. ANSWER:\nV583941\n", "role": "assistant" } ]

[ "V412698" ]

[ { "content": "<context>\nassign V963652 = V136825. assign V822826 = V120633 + 1. assign V393404 = V818203 + 1. assign V596427 = V372447 + 1. assign V877153 = V354392 - 1. assign V315505 = V599478 - 1. assign V557205 = V053084 + 1. assign V929158 = V283180 + 1. assign V487412 = V182799. assign V599478 = V920454 - 1. assign V089167 = V674821. assign V483335 = V944230 + 1. assign V846537 = V695532 - 1. assign V472424 = V162080. assign V228825 = V819780 - 1. assign V914552 = V513417 + 1. assign V453251 = V786030. assign V449402 = V336125. assign V422047 = V915365 + 1. assign V047980 = V387089. assign V671300 = V865666 + 1. assign V959474 = V654575 + 1. assign V225826 = V170960 - 1. assign V585634 = V971434 + 1. assign V168377 = V935077 - 1. assign V263646 = V241370 - 1. assign V406388 = V263646 - 1. assign V208485 = V120633 - 1. assign V812218 = V085748 + 1. assign V619448 = V029345 - 1. assign V241370 = V958410 + 1. assign V019169 = V307122. assign V558004 = V283180 - 1. assign V786030 = V483335. assign V268883 = V776347 + 1. assign V450941 = V935077 - 1. assign V084186 = V085748 + 1. assign V336125 = V136825 - 1. assign V813111 = V818203 - 1. assign V432515 = V024373 - 1. assign V975485 = V029345 + 1. assign V674821 = V162080 - 1. assign V818203 = V449402 - 1. assign V636911 = V722457 + 1. assign V110359 = V182799 - 1. assign V412698 = 2. assign V598932 = V263646 + 1. assign V097731 = V577385. assign V577385 = V079102. assign V307122 = V136825 + 1. assign V023152 = V958410 - 1. assign V836974 = V920454 + 1. assign V908769 = V922661. assign V776347 = V899683 - 1. assign V282282 = V922661 + 1. assign V995247 = V432515 + 1. assign V253306 = V162080. assign V775078 = V270868 - 1. assign V899683 = V372447. assign V590832 = V412698 + 1. assign V177600 = V447507. assign V760555 = V935077 - 1. assign V964434 = V939882 - 1. assign V283180 = V915365. assign V546306 = V444373 + 1. assign V309499 = V077055 + 1. assign V801976 = V681468 + 1. assign V052120 = V920454. assign V708890 = V406388 + 1. assign V203320 = V944230 + 1. assign V079102 = V387089 - 1. assign V991788 = V775078. assign V271390 = V619448 - 1. assign V136825 = V915365. assign V375103 = V545924. assign V182799 = V776347 + 1. assign V818265 = V333393. assign V256797 = V263646. assign V454125 = V756032. assign V600206 = V210649 - 1. assign V077055 = V098352. assign V398724 = V836974 - 1. assign V865666 = V776347 - 1. assign V944126 = V177600 + 1. assign V935077 = V120633. assign V429063 = V865666 + 1. assign V391948 = V558004. assign V372447 = V085748 + 1. assign V447507 = V776347. assign V548317 = V393404 - 1. assign V329844 = V023152 + 1. assign V203276 = V168377. assign V849925 = V922661 + 1. assign V662198 = V110359. assign V756032 = V585707. assign V053084 = V210649 - 1. assign V444373 = V210649 - 1. assign V315278 = V294785 - 1. assign V722457 = V079102. assign V041602 = V406388 - 1. assign V606748 = V963652 - 1. assign V076144 = V066102 - 1. assign V318419 = V662198 + 1. assign V210649 = V120633 - 1. assign V513417 = V499107 - 1. assign V564239 = V499080 + 1. assign V066102 = V136825 + 1. assign V320497 = V177600. assign V819780 = V775078 - 1. assign V802909 = V232487 - 1. assign V029345 = V776347 - 1. assign V922661 = V975485 + 1. assign V421138 = V915365. assign V024373 = V182799. assign V929616 = V053084. assign V943785 = V585707 + 1. assign V862826 = V432515 - 1. assign V958410 = V915365 + 1. assign V545924 = V210649 - 1. assign V863936 = V636911 - 1. assign V045839 = V019169 + 1. assign V509697 = V786030 + 1. assign V170960 = V294785 - 1. assign V971434 = V415250 - 1. assign V098352 = V182799 + 1. assign V162080 = V915365. assign V654575 = V944126 - 1. assign V999447 = V329844. assign V897928 = V029345. assign V499080 = V372447 - 1. assign V608342 = V596427 - 1. assign V531337 = V877153. assign V734469 = V943785 + 1. assign V294785 = V047980 + 1. assign V622326 = V531337. assign V944230 = V695532 + 1. assign V085748 = V585707 + 1. assign V201509 = V545924. assign V915365 = V585707. assign V920454 = V944230. assign V288299 = V320497 + 1. assign V439777 = V454125 - 1. assign V695532 = V487412. assign V581875 = V963652. assign V689930 = V964434 + 1. assign V540025 = V598932. assign V415250 = V819780 - 1. assign V335744 = V865666 + 1. assign V120633 = V372447 - 1. assign V489571 = V836974. assign V035311 = V335744. assign V333393 = V939882. assign V459346 = V110359 - 1. assign V018812 = V971434 - 1. assign V354392 = V182799 - 1. assign V249228 = V329844. assign V092131 = V546306 - 1. assign V681468 = V958410 + 1. assign V558788 = V958410 - 1. assign V941170 = V208485 + 1. assign V425704 = V393404. assign V963167 = V309499 - 1. assign V569081 = V802909 + 1. assign V349159 = V283180 - 1. assign V359964 = V208485 - 1. assign V387089 = V085748. assign V270868 = V029345 - 1. assign V499107 = V120633. assign V696089 = V487412 - 1. assign V232487 = V241370 - 1. assign V976445 = V256797. assign V939882 = V110359 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V963652 = V136825. assign V822826 = V120633 + 1. assign V393404 = V818203 + 1. assign V596427 = V372447 + 1. assign V877153 = V354392 - 1. assign V315505 = V599478 - 1. assign V557205 = V053084 + 1. assign V929158 = V283180 + 1. assign V487412 = V182799. assign V599478 = V920454 - 1. assign V089167 = V674821. assign V483335 = V944230 + 1. assign V846537 = V695532 - 1. assign V472424 = V162080. assign V228825 = V819780 - 1. assign V914552 = V513417 + 1. assign V453251 = V786030. assign V449402 = V336125. assign V422047 = V915365 + 1. assign V047980 = V387089. assign V671300 = V865666 + 1. assign V959474 = V654575 + 1. assign V225826 = V170960 - 1. assign V585634 = V971434 + 1. assign V168377 = V935077 - 1. assign V263646 = V241370 - 1. assign V406388 = V263646 - 1. assign V208485 = V120633 - 1. assign V812218 = V085748 + 1. assign V619448 = V029345 - 1. assign V241370 = V958410 + 1. assign V019169 = V307122. assign V558004 = V283180 - 1. assign V786030 = V483335. assign V268883 = V776347 + 1. assign V450941 = V935077 - 1. assign V084186 = V085748 + 1. assign V336125 = V136825 - 1. assign V813111 = V818203 - 1. assign V432515 = V024373 - 1. assign V975485 = V029345 + 1. assign V674821 = V162080 - 1. assign V818203 = V449402 - 1. assign V636911 = V722457 + 1. assign V110359 = V182799 - 1. assign V412698 = 2. assign V598932 = V263646 + 1. assign V097731 = V577385. assign V577385 = V079102. assign V307122 = V136825 + 1. assign V023152 = V958410 - 1. assign V836974 = V920454 + 1. assign V908769 = V922661. assign V776347 = V899683 - 1. assign V282282 = V922661 + 1. assign V995247 = V432515 + 1. assign V253306 = V162080. assign V775078 = V270868 - 1. assign V899683 = V372447. assign V590832 = V412698 + 1. assign V177600 = V447507. assign V760555 = V935077 - 1. assign V964434 = V939882 - 1. assign V283180 = V915365. assign V546306 = V444373 + 1. assign V309499 = V077055 + 1. assign V801976 = V681468 + 1. assign V052120 = V920454. assign V708890 = V406388 + 1. assign V203320 = V944230 + 1. assign V079102 = V387089 - 1. assign V991788 = V775078. assign V271390 = V619448 - 1. assign V136825 = V915365. assign V375103 = V545924. assign V182799 = V776347 + 1. assign V818265 = V333393. assign V256797 = V263646. assign V454125 = V756032. assign V600206 = V210649 - 1. assign V077055 = V098352. assign V398724 = V836974 - 1. assign V865666 = V776347 - 1. assign V944126 = V177600 + 1. assign V935077 = V120633. assign V429063 = V865666 + 1. assign V391948 = V558004. assign V372447 = V085748 + 1. assign V447507 = V776347. assign V548317 = V393404 - 1. assign V329844 = V023152 + 1. assign V203276 = V168377. assign V849925 = V922661 + 1. assign V662198 = V110359. assign V756032 = V585707. assign V053084 = V210649 - 1. assign V444373 = V210649 - 1. assign V315278 = V294785 - 1. assign V722457 = V079102. assign V041602 = V406388 - 1. assign V606748 = V963652 - 1. assign V076144 = V066102 - 1. assign V318419 = V662198 + 1. assign V210649 = V120633 - 1. assign V513417 = V499107 - 1. assign V564239 = V499080 + 1. assign V066102 = V136825 + 1. assign V320497 = V177600. assign V819780 = V775078 - 1. assign V802909 = V232487 - 1. assign V029345 = V776347 - 1. assign V922661 = V975485 + 1. assign V421138 = V915365. assign V024373 = V182799. assign V929616 = V053084. assign V943785 = V585707 + 1. assign V862826 = V432515 - 1. assign V958410 = V915365 + 1. assign V545924 = V210649 - 1. assign V863936 = V636911 - 1. assign V045839 = V019169 + 1. assign V509697 = V786030 + 1. assign V170960 = V294785 - 1. assign V971434 = V415250 - 1. assign V098352 = V182799 + 1. assign V162080 = V915365. assign V654575 = V944126 - 1. assign V999447 = V329844. assign V897928 = V029345. assign V499080 = V372447 - 1. assign V608342 = V596427 - 1. assign V531337 = V877153. assign V734469 = V943785 + 1. assign V294785 = V047980 + 1. assign V622326 = V531337. assign V944230 = V695532 + 1. assign V085748 = V585707 + 1. assign V201509 = V545924. assign V915365 = V585707. assign V920454 = V944230. assign V288299 = V320497 + 1. assign V439777 = V454125 - 1. assign V695532 = V487412. assign V581875 = V963652. assign V689930 = V964434 + 1. assign V540025 = V598932. assign V415250 = V819780 - 1. assign V335744 = V865666 + 1. assign V120633 = V372447 - 1. assign V489571 = V836974. assign V035311 = V335744. assign V333393 = V939882. assign V459346 = V110359 - 1. assign V018812 = V971434 - 1. assign V354392 = V182799 - 1. assign V249228 = V329844. assign V092131 = V546306 - 1. assign V681468 = V958410 + 1. assign V558788 = V958410 - 1. assign V941170 = V208485 + 1. assign V425704 = V393404. assign V963167 = V309499 - 1. assign V569081 = V802909 + 1. assign V349159 = V283180 - 1. assign V359964 = V208485 - 1. assign V387089 = V085748. assign V270868 = V029345 - 1. assign V499107 = V120633. assign V696089 = V487412 - 1. assign V232487 = V241370 - 1. assign V976445 = V256797. assign V939882 = V110359 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV412698 = 2;\n\nFrom these direct assignment(s), we have: \nV590832 = V412698 + 1 = 2 + 1 =3;\nNo other variables can be derived from V590832;\nNo other variables can be derived from V412698;\n\nNow we have done all the calculations. Derived variables are:\nV412698 = 2;\nV590832 = 3;\n\nNow we have finished this problem. ANSWER:\nV412698\n", "role": "assistant" } ]

[ "V472270" ]

[ { "content": "<context>\nassign V122894 = V367810 + 1. assign V150088 = V709990. assign V854488 = V619988 - 1. assign V470871 = V337766. assign V242945 = V094973 - 1. assign V101430 = V337766. assign V879846 = V904620 - 1. assign V717823 = V129306. assign V442507 = V272773 - 1. assign V239766 = V707749 + 1. assign V043671 = V795181 + 1. assign V887277 = V565257 + 1. assign V529511 = V619988 - 1. assign V389987 = V005210 - 1. assign V630641 = V881765 - 1. assign V677909 = V166145 + 1. assign V795181 = V881765. assign V761810 = V451059 + 1. assign V099275 = V129306. assign V270317 = V687839 - 1. assign V420006 = V366462. assign V867784 = V882399. assign V115213 = V272773. assign V094973 = V920920 + 1. assign V917102 = V324697 - 1. assign V820431 = V047958 + 1. assign V866580 = V151512 + 1. assign V290040 = V820431 - 1. assign V602009 = V631534. assign V499230 = V456799. assign V176421 = V816798 - 1. assign V416426 = V189633 + 1. assign V047341 = V619988 - 1. assign V367810 = V979381. assign V534483 = V881765. assign V555174 = V442507 + 1. assign V931894 = V631534 - 1. assign V033402 = V339270. assign V832526 = V904620. assign V798335 = V630641. assign V982526 = V944075. assign V653174 = V470871 - 1. assign V473145 = V883731. assign V661628 = V129306. assign V010063 = V005210 - 1. assign V731796 = V811941 - 1. assign V272773 = V105880. assign V872700 = V883731 - 1. assign V276565 = V489393. assign V224264 = V709859 + 1. assign V888857 = V126309. assign V129306 = V917131 + 1. assign V226126 = V709859 - 1. assign V298229 = V226126 - 1. assign V870843 = V920920 + 1. assign V701954 = V489393 - 1. assign V904620 = V534483. assign V365732 = V385583 - 1. assign V565257 = V470871 + 1. assign V366462 = V043671 + 1. assign V151512 = V661628 + 1. assign V702886 = V199113 + 1. assign V862100 = V337766 + 1. assign V881765 = V284302 + 1. assign V944014 = V762657 + 1. assign V685974 = V141076. assign V028698 = V917131 - 1. assign V902070 = V526583 - 1. assign V744016 = V442507 - 1. assign V216429 = V904620 + 1. assign V026421 = V089490 + 1. assign V665384 = V874237. assign V330100 = V709990 - 1. assign V924486 = V470871 + 1. assign V456799 = V661628 - 1. assign V537886 = V476477 + 1. assign V474357 = V534483. assign V222618 = V005210 - 1. assign V692649 = V917131 + 1. assign V324697 = V099275 - 1. assign V224141 = V105880 - 1. assign V644280 = V816798. assign V303766 = V816129. assign V335470 = V944014 + 1. assign V354136 = V661628 + 1. assign V476477 = V284302. assign V472270 = V645725 - 1. assign V658445 = V619988. assign V385583 = V874237 - 1. assign V105880 = V168522 - 1. assign V709859 = V473145 + 1. assign V874237 = V129306. assign V526583 = V888857 + 1. assign V127233 = V619988 + 1. assign V042734 = V218746 + 1. assign V541088 = V917131. assign V189633 = V917131 + 1. assign V893893 = V658445. assign V954296 = V473145 - 1. assign V118221 = V923166. assign V005210 = V631534 + 1. assign V762657 = V409694 - 1. assign V134042 = V118221. assign V342041 = V284302 - 1. assign V325038 = V762657 + 1. assign V767792 = V239766. assign V619988 = V042734 - 1. assign V430511 = V917102 - 1. assign V141076 = V854488. assign V168522 = V324697 + 1. assign V512866 = V290040. assign V339270 = V870843 + 1. assign V089490 = V284302. assign V126309 = V216429 - 1. assign V175072 = V099275 + 1. assign V451059 = V005210 + 1. assign V923166 = V099275 - 1. assign V455761 = V385583 - 1. assign V167945 = V499230 + 1. assign V272888 = V882399 - 1. assign V645725 = 1. assign V527368 = V176421. assign V883731 = V631534 - 1. assign V284302 = V631534 - 1. assign V704437 = V931894 - 1. assign V489393 = V105880 - 1. assign V164840 = V862100. assign V042656 = V882399. assign V337766 = V284302. assign V881724 = V222618 + 1. assign V204784 = V094973 - 1. assign V708660 = V924486 - 1. assign V493228 = V534483. assign V680776 = V917131. assign V709990 = V222618 + 1. assign V166145 = V680776 + 1. assign V556868 = V028698 + 1. assign V442008 = V661628 - 1. assign V882399 = V166145 + 1. assign V979381 = V862100 - 1. assign V816129 = V848183 + 1. assign V820104 = V883731. assign V463046 = V118221. assign V424695 = V385583. assign V047958 = V284302 + 1. assign V333004 = V290040 + 1. assign V811941 = V658445. assign V733967 = V474357 + 1. assign V367785 = V166145 - 1. assign V178878 = V692649 + 1. assign V952267 = V409694 - 1. assign V631534 = V917131 - 1. assign V409694 = V105880 + 1. assign V384339 = V931894 + 1. assign V678459 = V665384 - 1. assign V199113 = V105880. assign V665700 = V565257 + 1. assign V911752 = V862100. assign V848183 = V881765 - 1. assign V707749 = V493228 + 1. assign V687839 = V680776 + 1. assign V917131 = V218746 - 1. assign V080080 = V952267 + 1. assign V971988 = V493228. assign V984980 = V342041 - 1. assign V816798 = V218746 + 1. assign V443919 = V489393. assign V920920 = V089490 - 1. assign V377848 = V134042 + 1. assign V804168 = V862100 + 1. assign V842223 = V630641. assign V944075 = V917131.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V122894 = V367810 + 1. assign V150088 = V709990. assign V854488 = V619988 - 1. assign V470871 = V337766. assign V242945 = V094973 - 1. assign V101430 = V337766. assign V879846 = V904620 - 1. assign V717823 = V129306. assign V442507 = V272773 - 1. assign V239766 = V707749 + 1. assign V043671 = V795181 + 1. assign V887277 = V565257 + 1. assign V529511 = V619988 - 1. assign V389987 = V005210 - 1. assign V630641 = V881765 - 1. assign V677909 = V166145 + 1. assign V795181 = V881765. assign V761810 = V451059 + 1. assign V099275 = V129306. assign V270317 = V687839 - 1. assign V420006 = V366462. assign V867784 = V882399. assign V115213 = V272773. assign V094973 = V920920 + 1. assign V917102 = V324697 - 1. assign V820431 = V047958 + 1. assign V866580 = V151512 + 1. assign V290040 = V820431 - 1. assign V602009 = V631534. assign V499230 = V456799. assign V176421 = V816798 - 1. assign V416426 = V189633 + 1. assign V047341 = V619988 - 1. assign V367810 = V979381. assign V534483 = V881765. assign V555174 = V442507 + 1. assign V931894 = V631534 - 1. assign V033402 = V339270. assign V832526 = V904620. assign V798335 = V630641. assign V982526 = V944075. assign V653174 = V470871 - 1. assign V473145 = V883731. assign V661628 = V129306. assign V010063 = V005210 - 1. assign V731796 = V811941 - 1. assign V272773 = V105880. assign V872700 = V883731 - 1. assign V276565 = V489393. assign V224264 = V709859 + 1. assign V888857 = V126309. assign V129306 = V917131 + 1. assign V226126 = V709859 - 1. assign V298229 = V226126 - 1. assign V870843 = V920920 + 1. assign V701954 = V489393 - 1. assign V904620 = V534483. assign V365732 = V385583 - 1. assign V565257 = V470871 + 1. assign V366462 = V043671 + 1. assign V151512 = V661628 + 1. assign V702886 = V199113 + 1. assign V862100 = V337766 + 1. assign V881765 = V284302 + 1. assign V944014 = V762657 + 1. assign V685974 = V141076. assign V028698 = V917131 - 1. assign V902070 = V526583 - 1. assign V744016 = V442507 - 1. assign V216429 = V904620 + 1. assign V026421 = V089490 + 1. assign V665384 = V874237. assign V330100 = V709990 - 1. assign V924486 = V470871 + 1. assign V456799 = V661628 - 1. assign V537886 = V476477 + 1. assign V474357 = V534483. assign V222618 = V005210 - 1. assign V692649 = V917131 + 1. assign V324697 = V099275 - 1. assign V224141 = V105880 - 1. assign V644280 = V816798. assign V303766 = V816129. assign V335470 = V944014 + 1. assign V354136 = V661628 + 1. assign V476477 = V284302. assign V472270 = V645725 - 1. assign V658445 = V619988. assign V385583 = V874237 - 1. assign V105880 = V168522 - 1. assign V709859 = V473145 + 1. assign V874237 = V129306. assign V526583 = V888857 + 1. assign V127233 = V619988 + 1. assign V042734 = V218746 + 1. assign V541088 = V917131. assign V189633 = V917131 + 1. assign V893893 = V658445. assign V954296 = V473145 - 1. assign V118221 = V923166. assign V005210 = V631534 + 1. assign V762657 = V409694 - 1. assign V134042 = V118221. assign V342041 = V284302 - 1. assign V325038 = V762657 + 1. assign V767792 = V239766. assign V619988 = V042734 - 1. assign V430511 = V917102 - 1. assign V141076 = V854488. assign V168522 = V324697 + 1. assign V512866 = V290040. assign V339270 = V870843 + 1. assign V089490 = V284302. assign V126309 = V216429 - 1. assign V175072 = V099275 + 1. assign V451059 = V005210 + 1. assign V923166 = V099275 - 1. assign V455761 = V385583 - 1. assign V167945 = V499230 + 1. assign V272888 = V882399 - 1. assign V645725 = 1. assign V527368 = V176421. assign V883731 = V631534 - 1. assign V284302 = V631534 - 1. assign V704437 = V931894 - 1. assign V489393 = V105880 - 1. assign V164840 = V862100. assign V042656 = V882399. assign V337766 = V284302. assign V881724 = V222618 + 1. assign V204784 = V094973 - 1. assign V708660 = V924486 - 1. assign V493228 = V534483. assign V680776 = V917131. assign V709990 = V222618 + 1. assign V166145 = V680776 + 1. assign V556868 = V028698 + 1. assign V442008 = V661628 - 1. assign V882399 = V166145 + 1. assign V979381 = V862100 - 1. assign V816129 = V848183 + 1. assign V820104 = V883731. assign V463046 = V118221. assign V424695 = V385583. assign V047958 = V284302 + 1. assign V333004 = V290040 + 1. assign V811941 = V658445. assign V733967 = V474357 + 1. assign V367785 = V166145 - 1. assign V178878 = V692649 + 1. assign V952267 = V409694 - 1. assign V631534 = V917131 - 1. assign V409694 = V105880 + 1. assign V384339 = V931894 + 1. assign V678459 = V665384 - 1. assign V199113 = V105880. assign V665700 = V565257 + 1. assign V911752 = V862100. assign V848183 = V881765 - 1. assign V707749 = V493228 + 1. assign V687839 = V680776 + 1. assign V917131 = V218746 - 1. assign V080080 = V952267 + 1. assign V971988 = V493228. assign V984980 = V342041 - 1. assign V816798 = V218746 + 1. assign V443919 = V489393. assign V920920 = V089490 - 1. assign V377848 = V134042 + 1. assign V804168 = V862100 + 1. assign V842223 = V630641. assign V944075 = V917131.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV645725 = 1;\n\nFrom these direct assignment(s), we have: \nV472270 = V645725 - 1 = 1 - 1 =0;\nNo other variables can be derived from V472270;\nNo other variables can be derived from V645725;\n\nNow we have done all the calculations. Derived variables are:\nV645725 = 1;\nV472270 = 0;\n\nNow we have finished this problem. ANSWER:\nV472270\n", "role": "assistant" } ]

[ "V418134" ]

[ { "content": "<context>\nassign V650112 = V636964. assign V159260 = V135513 + 1. assign V704525 = V410424 + 1. assign V295055 = V787756. assign V674826 = V446727 - 1. assign V413731 = V318305 + 1. assign V106664 = V699710 + 1. assign V909776 = V299104 - 1. assign V686880 = V063683. assign V055566 = V496360 - 1. assign V250109 = V734401 - 1. assign V051219 = V874523. assign V556481 = V857674 - 1. assign V661611 = V035363 + 1. assign V446727 = V756681. assign V868353 = V540494 + 1. assign V265351 = V794651 + 1. assign V161008 = V675916 + 1. assign V874523 = V841550 - 1. assign V012190 = V019809 + 1. assign V873376 = V004964 - 1. assign V785448 = V794651 - 1. assign V484577 = V957306 - 1. assign V952647 = V513866 + 1. assign V908497 = V464544 - 1. assign V629558 = V822209 + 1. assign V894798 = V785448. assign V019809 = V791970 - 1. assign V890307 = V894798. assign V260072 = V067450. assign V206087 = V639924 + 1. assign V317249 = V181234 - 1. assign V374851 = V992596 - 1. assign V519017 = V464544 - 1. assign V319986 = V794651. assign V756681 = V886769. assign V765634 = V324336. assign V334850 = V055566 + 1. assign V493564 = V666813 + 1. assign V361102 = V734401. assign V365520 = V639924 - 1. assign V699710 = V055566. assign V794651 = V496360 + 1. assign V511498 = V464544 + 1. assign V484132 = V070898 - 1. assign V886769 = V496360. assign V162733 = V734401 + 1. assign V493346 = V499246. assign V943365 = V896819 - 1. assign V513524 = V964223 + 1. assign V408021 = V277528 + 1. assign V463306 = V650112 + 1. assign V277528 = V785448 - 1. assign V504457 = V636964 + 1. assign V479935 = V644320 + 1. assign V486182 = V254539 + 1. assign V004964 = V070898 - 1. assign V334041 = V055566. assign V114662 = V194886. assign V129161 = V785448. assign V791086 = V841550 + 1. assign V033641 = V206087. assign V729678 = V707332. assign V204445 = V250109 - 1. assign V787756 = V822209 - 1. assign V207947 = V499246 - 1. assign V097730 = V260072. assign V191276 = V703631. assign V974626 = V644505 + 1. assign V703631 = V513866. assign V070316 = V361102. assign V506710 = V206087. assign V016759 = V070898 - 1. assign V501170 = V035363 - 1. assign V265885 = V479935 + 1. assign V369993 = V503570. assign V675662 = V334850 + 1. assign V729285 = V666813. assign V409804 = V329838 - 1. assign V194886 = V874523 - 1. assign V330622 = V334850 + 1. assign V614427 = V277528 + 1. assign V636964 = V794651 - 1. assign V957306 = V496360. assign V236687 = V664682. assign V517933 = V503570. assign V896819 = V644320. assign V664965 = V153649 + 1. assign V183754 = V334041. assign V198247 = V318305 - 1. assign V300133 = V199102 - 1. assign V070898 = V496360. assign V181234 = V493346 - 1. assign V324336 = V206087. assign V443873 = V886769 - 1. assign V429823 = V016759 + 1. assign V699141 = V650112 - 1. assign V781233 = V463306 - 1. assign V063683 = V857674 + 1. assign V639924 = V070898 + 1. assign V528685 = V459243. assign V344703 = V629558. assign V464544 = V894798 - 1. assign V443621 = V365520 - 1. assign V878136 = V636964. assign V901337 = V894798 + 1. assign V644320 = V785448 + 1. assign V574874 = V019809. assign V459243 = V841550. assign V224774 = V295055 - 1. assign V964223 = V159260 + 1. assign V449251 = V513866 + 1. assign V035363 = V365520. assign V819060 = V517933. assign V260612 = V063683 - 1. assign V307187 = V369993. assign V299104 = V503570 - 1. assign V822209 = V639924 - 1. assign V626328 = V664682 - 1. assign V274929 = V841550 - 1. assign V553830 = V890307 - 1. assign V254539 = V250109 + 1. assign V716349 = V664682 + 1. assign V644505 = V503570. assign V135513 = V194886 - 1. assign V740788 = V504457 - 1. assign V675916 = V324336. assign V992596 = V070316. assign V814316 = V365520 + 1. assign V513866 = V707332 + 1. assign V174113 = V765634 - 1. assign V674297 = V908497 + 1. assign V707332 = V957306 + 1. assign V715057 = V644505 + 1. assign V801913 = V703631 + 1. assign V734401 = V894798. assign V285581 = V499246. assign V499246 = V874523. assign V067450 = V461280 + 1. assign V450656 = V650112. assign V418134 = V726433 - 1. assign V410424 = V513866 - 1. assign V153649 = V636964. assign V461280 = V194886 - 1. assign V197710 = V324336 - 1. assign V426265 = V114662 + 1. assign V329838 = V707332 + 1. assign V076243 = V666813 + 1. assign V865474 = V307187. assign V432340 = V785448 - 1. assign V014004 = V426265 - 1. assign V446380 = V974626 + 1. assign V726433 = 3. assign V555573 = V299104 + 1. assign V168810 = V161008. assign V224541 = V822209 - 1. assign V540494 = V204445. assign V318305 = V555573 + 1. assign V993708 = V666813. assign V594616 = V135513 + 1. assign V857674 = V957306 + 1. assign V666813 = V816021. assign V791970 = V636964 - 1. assign V945376 = V894798 + 1. assign V199102 = V650112 + 1. assign V563623 = V756681 + 1. assign V279793 = V443873 - 1. assign V503570 = V794651 + 1. assign V816021 = V952647. assign V841550 = V513866 + 1. assign V664682 = V198247 + 1. assign V100244 = V504457 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V650112 = V636964. assign V159260 = V135513 + 1. assign V704525 = V410424 + 1. assign V295055 = V787756. assign V674826 = V446727 - 1. assign V413731 = V318305 + 1. assign V106664 = V699710 + 1. assign V909776 = V299104 - 1. assign V686880 = V063683. assign V055566 = V496360 - 1. assign V250109 = V734401 - 1. assign V051219 = V874523. assign V556481 = V857674 - 1. assign V661611 = V035363 + 1. assign V446727 = V756681. assign V868353 = V540494 + 1. assign V265351 = V794651 + 1. assign V161008 = V675916 + 1. assign V874523 = V841550 - 1. assign V012190 = V019809 + 1. assign V873376 = V004964 - 1. assign V785448 = V794651 - 1. assign V484577 = V957306 - 1. assign V952647 = V513866 + 1. assign V908497 = V464544 - 1. assign V629558 = V822209 + 1. assign V894798 = V785448. assign V019809 = V791970 - 1. assign V890307 = V894798. assign V260072 = V067450. assign V206087 = V639924 + 1. assign V317249 = V181234 - 1. assign V374851 = V992596 - 1. assign V519017 = V464544 - 1. assign V319986 = V794651. assign V756681 = V886769. assign V765634 = V324336. assign V334850 = V055566 + 1. assign V493564 = V666813 + 1. assign V361102 = V734401. assign V365520 = V639924 - 1. assign V699710 = V055566. assign V794651 = V496360 + 1. assign V511498 = V464544 + 1. assign V484132 = V070898 - 1. assign V886769 = V496360. assign V162733 = V734401 + 1. assign V493346 = V499246. assign V943365 = V896819 - 1. assign V513524 = V964223 + 1. assign V408021 = V277528 + 1. assign V463306 = V650112 + 1. assign V277528 = V785448 - 1. assign V504457 = V636964 + 1. assign V479935 = V644320 + 1. assign V486182 = V254539 + 1. assign V004964 = V070898 - 1. assign V334041 = V055566. assign V114662 = V194886. assign V129161 = V785448. assign V791086 = V841550 + 1. assign V033641 = V206087. assign V729678 = V707332. assign V204445 = V250109 - 1. assign V787756 = V822209 - 1. assign V207947 = V499246 - 1. assign V097730 = V260072. assign V191276 = V703631. assign V974626 = V644505 + 1. assign V703631 = V513866. assign V070316 = V361102. assign V506710 = V206087. assign V016759 = V070898 - 1. assign V501170 = V035363 - 1. assign V265885 = V479935 + 1. assign V369993 = V503570. assign V675662 = V334850 + 1. assign V729285 = V666813. assign V409804 = V329838 - 1. assign V194886 = V874523 - 1. assign V330622 = V334850 + 1. assign V614427 = V277528 + 1. assign V636964 = V794651 - 1. assign V957306 = V496360. assign V236687 = V664682. assign V517933 = V503570. assign V896819 = V644320. assign V664965 = V153649 + 1. assign V183754 = V334041. assign V198247 = V318305 - 1. assign V300133 = V199102 - 1. assign V070898 = V496360. assign V181234 = V493346 - 1. assign V324336 = V206087. assign V443873 = V886769 - 1. assign V429823 = V016759 + 1. assign V699141 = V650112 - 1. assign V781233 = V463306 - 1. assign V063683 = V857674 + 1. assign V639924 = V070898 + 1. assign V528685 = V459243. assign V344703 = V629558. assign V464544 = V894798 - 1. assign V443621 = V365520 - 1. assign V878136 = V636964. assign V901337 = V894798 + 1. assign V644320 = V785448 + 1. assign V574874 = V019809. assign V459243 = V841550. assign V224774 = V295055 - 1. assign V964223 = V159260 + 1. assign V449251 = V513866 + 1. assign V035363 = V365520. assign V819060 = V517933. assign V260612 = V063683 - 1. assign V307187 = V369993. assign V299104 = V503570 - 1. assign V822209 = V639924 - 1. assign V626328 = V664682 - 1. assign V274929 = V841550 - 1. assign V553830 = V890307 - 1. assign V254539 = V250109 + 1. assign V716349 = V664682 + 1. assign V644505 = V503570. assign V135513 = V194886 - 1. assign V740788 = V504457 - 1. assign V675916 = V324336. assign V992596 = V070316. assign V814316 = V365520 + 1. assign V513866 = V707332 + 1. assign V174113 = V765634 - 1. assign V674297 = V908497 + 1. assign V707332 = V957306 + 1. assign V715057 = V644505 + 1. assign V801913 = V703631 + 1. assign V734401 = V894798. assign V285581 = V499246. assign V499246 = V874523. assign V067450 = V461280 + 1. assign V450656 = V650112. assign V418134 = V726433 - 1. assign V410424 = V513866 - 1. assign V153649 = V636964. assign V461280 = V194886 - 1. assign V197710 = V324336 - 1. assign V426265 = V114662 + 1. assign V329838 = V707332 + 1. assign V076243 = V666813 + 1. assign V865474 = V307187. assign V432340 = V785448 - 1. assign V014004 = V426265 - 1. assign V446380 = V974626 + 1. assign V726433 = 3. assign V555573 = V299104 + 1. assign V168810 = V161008. assign V224541 = V822209 - 1. assign V540494 = V204445. assign V318305 = V555573 + 1. assign V993708 = V666813. assign V594616 = V135513 + 1. assign V857674 = V957306 + 1. assign V666813 = V816021. assign V791970 = V636964 - 1. assign V945376 = V894798 + 1. assign V199102 = V650112 + 1. assign V563623 = V756681 + 1. assign V279793 = V443873 - 1. assign V503570 = V794651 + 1. assign V816021 = V952647. assign V841550 = V513866 + 1. assign V664682 = V198247 + 1. assign V100244 = V504457 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV726433 = 3;\n\nFrom these direct assignment(s), we have: \nV418134 = V726433 - 1 = 3 - 1 =2;\nNo other variables can be derived from V418134;\nNo other variables can be derived from V726433;\n\nNow we have done all the calculations. Derived variables are:\nV726433 = 3;\nV418134 = 2;\n\nNow we have finished this problem. ANSWER:\nV418134\n", "role": "assistant" } ]

[ "V255054", "V032012" ]

[ { "content": "<context>\nassign V578326 = V557225. assign V506540 = V465643. assign V784221 = V516801 - 1. assign V710694 = V340609 - 1. assign V163153 = V610287 - 1. assign V408094 = V916252 - 1. assign V418782 = V990210 - 1. assign V308848 = V557225 + 1. assign V559082 = V408094. assign V376014 = V551533 - 1. assign V759336 = V118537 + 1. assign V982112 = V340609 - 1. assign V440556 = V710694 + 1. assign V915296 = V144323 + 1. assign V244797 = V522548 - 1. assign V479086 = V418782. assign V417117 = V658389 - 1. assign V365989 = V615206. assign V518910 = V520176. assign V327171 = V340609 - 1. assign V632879 = V862301 + 1. assign V535131 = V909456 - 1. assign V268277 = V784221. assign V516801 = V520176 - 1. assign V598939 = V518910 - 1. assign V783375 = V628893. assign V028245 = V756533. assign V984831 = V984534 - 1. assign V552851 = V990210 - 1. assign V819860 = V608119 - 1. assign V115480 = V296496 - 1. assign V522548 = V322637 + 1. assign V916252 = V347980. assign V520176 = V440556 - 1. assign V886482 = V642223. assign V822899 = V628893 - 1. assign V999496 = V795567 + 1. assign V608119 = V354992 + 1. assign V068347 = V354992 + 1. assign V816116 = V479086. assign V060372 = V454623. assign V420673 = V738347. assign V825794 = V347980. assign V316962 = V578326. assign V231628 = V163153. assign V615206 = V990210. assign V557225 = V673176 - 1. assign V990210 = V982112. assign V756533 = V605377 - 1. assign V863563 = V619830 + 1. assign V329405 = V146082 - 1. assign V176651 = V658389. assign V076542 = V522548 + 1. assign V794262 = V784221 + 1. assign V255054 = 6. assign V618067 = V784221. assign V799181 = V763508. assign V552163 = V627984. assign V211344 = V536523 - 1. assign V296496 = V335651 + 1. assign V765188 = V552163 + 1. assign V841068 = V354992 + 1. assign V738743 = V557225 + 1. assign V553914 = V886482 - 1. assign V539481 = V682674 + 1. assign V909456 = V710694 + 1. assign V795567 = V335651 - 1. assign V451242 = V061720. assign V819187 = V619830 + 1. assign V454623 = V552851 + 1. assign V489716 = V316962 - 1. assign V322637 = V982112. assign V875474 = V340609 - 1. assign V619830 = V615206 + 1. assign V637934 = V763508. assign V972057 = V578326. assign V677949 = V469055. assign V478284 = V017645 + 1. assign V653876 = V335651 + 1. assign V146082 = V884294 - 1. assign V682674 = V322637 - 1. assign V005456 = V982112. assign V306733 = V451242. assign V469055 = V605377. assign V314597 = V710694. assign V017645 = V658389. assign V873990 = V421197. assign V605377 = V340609 + 1. assign V426946 = V146082 + 1. assign V734331 = V990210 + 1. assign V223483 = V916252. assign V626345 = V697280. assign V054715 = V691168. assign V007119 = V990210. assign V106732 = V738999 - 1. assign V591156 = V552851 - 1. assign V856904 = V578326 + 1. assign V536523 = V354992 + 1. assign V965599 = V608119 - 1. assign V918195 = V517448 + 1. assign V658389 = V340609. assign V221791 = V909456. assign V661313 = V536523 + 1. assign V084954 = V418782 - 1. assign V446654 = V628893 + 1. assign V581135 = V637934 + 1. assign V566006 = V340609. assign V356710 = V518910 - 1. assign V434734 = V759336 + 1. assign V351297 = V632879 - 1. assign V874264 = V125061 + 1. assign V628893 = V516801 + 1. assign V673176 = V982112. assign V517448 = V610287. assign V481950 = V795567. assign V794802 = V322637 + 1. assign V738999 = V784221. assign V697280 = V322637. assign V335651 = V340609 + 1. assign V021550 = V901641 - 1. assign V717631 = V340609 - 1. assign V862301 = V627984. assign V372920 = V076542. assign V610287 = V909456. assign V741803 = V517448 - 1. assign V888497 = V734331 + 1. assign V118537 = V795567 - 1. assign V421197 = V223483. assign V691168 = V478284 - 1. assign V028673 = V697280. assign V627984 = V340609 - 1. assign V348808 = V873990 + 1. assign V144323 = V794262 + 1. assign V921790 = V465643 - 1. assign V608216 = V627984. assign V979758 = V176651. assign V241502 = V795567 - 1. assign V867524 = V348808 - 1. assign V020348 = V921790 + 1. assign V756740 = V965599 - 1. assign V061720 = V697280 + 1. assign V032012 = V255054. assign V551533 = V005456. assign V445884 = V017645 - 1. assign V465643 = V605377 + 1. assign V541633 = V197494. assign V763508 = V999496 + 1. assign V738347 = V176651 + 1. assign V642223 = V347980 - 1. assign V105875 = V426946 - 1. assign V901641 = V982112 + 1. assign V368180 = V799181. assign V020475 = V221791 - 1. assign V511028 = V765188. assign V747017 = V578326. assign V125061 = V322637. assign V958182 = V566006 - 1. assign V329880 = V673176 - 1. assign V033258 = V794262 - 1. assign V354992 = V335651 - 1. assign V508391 = V372662 + 1. assign V280931 = V608216. assign V884294 = V610287 - 1. assign V755391 = V518910. assign V175147 = V316962 - 1. assign V984534 = V979758 - 1. assign V515182 = V673176 - 1. assign V180038 = V909456. assign V197494 = V180038 - 1. assign V103411 = V518910 - 1. assign V372662 = V465643 + 1. assign V347980 = V335651 + 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 V578326 = V557225. assign V506540 = V465643. assign V784221 = V516801 - 1. assign V710694 = V340609 - 1. assign V163153 = V610287 - 1. assign V408094 = V916252 - 1. assign V418782 = V990210 - 1. assign V308848 = V557225 + 1. assign V559082 = V408094. assign V376014 = V551533 - 1. assign V759336 = V118537 + 1. assign V982112 = V340609 - 1. assign V440556 = V710694 + 1. assign V915296 = V144323 + 1. assign V244797 = V522548 - 1. assign V479086 = V418782. assign V417117 = V658389 - 1. assign V365989 = V615206. assign V518910 = V520176. assign V327171 = V340609 - 1. assign V632879 = V862301 + 1. assign V535131 = V909456 - 1. assign V268277 = V784221. assign V516801 = V520176 - 1. assign V598939 = V518910 - 1. assign V783375 = V628893. assign V028245 = V756533. assign V984831 = V984534 - 1. assign V552851 = V990210 - 1. assign V819860 = V608119 - 1. assign V115480 = V296496 - 1. assign V522548 = V322637 + 1. assign V916252 = V347980. assign V520176 = V440556 - 1. assign V886482 = V642223. assign V822899 = V628893 - 1. assign V999496 = V795567 + 1. assign V608119 = V354992 + 1. assign V068347 = V354992 + 1. assign V816116 = V479086. assign V060372 = V454623. assign V420673 = V738347. assign V825794 = V347980. assign V316962 = V578326. assign V231628 = V163153. assign V615206 = V990210. assign V557225 = V673176 - 1. assign V990210 = V982112. assign V756533 = V605377 - 1. assign V863563 = V619830 + 1. assign V329405 = V146082 - 1. assign V176651 = V658389. assign V076542 = V522548 + 1. assign V794262 = V784221 + 1. assign V255054 = 6. assign V618067 = V784221. assign V799181 = V763508. assign V552163 = V627984. assign V211344 = V536523 - 1. assign V296496 = V335651 + 1. assign V765188 = V552163 + 1. assign V841068 = V354992 + 1. assign V738743 = V557225 + 1. assign V553914 = V886482 - 1. assign V539481 = V682674 + 1. assign V909456 = V710694 + 1. assign V795567 = V335651 - 1. assign V451242 = V061720. assign V819187 = V619830 + 1. assign V454623 = V552851 + 1. assign V489716 = V316962 - 1. assign V322637 = V982112. assign V875474 = V340609 - 1. assign V619830 = V615206 + 1. assign V637934 = V763508. assign V972057 = V578326. assign V677949 = V469055. assign V478284 = V017645 + 1. assign V653876 = V335651 + 1. assign V146082 = V884294 - 1. assign V682674 = V322637 - 1. assign V005456 = V982112. assign V306733 = V451242. assign V469055 = V605377. assign V314597 = V710694. assign V017645 = V658389. assign V873990 = V421197. assign V605377 = V340609 + 1. assign V426946 = V146082 + 1. assign V734331 = V990210 + 1. assign V223483 = V916252. assign V626345 = V697280. assign V054715 = V691168. assign V007119 = V990210. assign V106732 = V738999 - 1. assign V591156 = V552851 - 1. assign V856904 = V578326 + 1. assign V536523 = V354992 + 1. assign V965599 = V608119 - 1. assign V918195 = V517448 + 1. assign V658389 = V340609. assign V221791 = V909456. assign V661313 = V536523 + 1. assign V084954 = V418782 - 1. assign V446654 = V628893 + 1. assign V581135 = V637934 + 1. assign V566006 = V340609. assign V356710 = V518910 - 1. assign V434734 = V759336 + 1. assign V351297 = V632879 - 1. assign V874264 = V125061 + 1. assign V628893 = V516801 + 1. assign V673176 = V982112. assign V517448 = V610287. assign V481950 = V795567. assign V794802 = V322637 + 1. assign V738999 = V784221. assign V697280 = V322637. assign V335651 = V340609 + 1. assign V021550 = V901641 - 1. assign V717631 = V340609 - 1. assign V862301 = V627984. assign V372920 = V076542. assign V610287 = V909456. assign V741803 = V517448 - 1. assign V888497 = V734331 + 1. assign V118537 = V795567 - 1. assign V421197 = V223483. assign V691168 = V478284 - 1. assign V028673 = V697280. assign V627984 = V340609 - 1. assign V348808 = V873990 + 1. assign V144323 = V794262 + 1. assign V921790 = V465643 - 1. assign V608216 = V627984. assign V979758 = V176651. assign V241502 = V795567 - 1. assign V867524 = V348808 - 1. assign V020348 = V921790 + 1. assign V756740 = V965599 - 1. assign V061720 = V697280 + 1. assign V032012 = V255054. assign V551533 = V005456. assign V445884 = V017645 - 1. assign V465643 = V605377 + 1. assign V541633 = V197494. assign V763508 = V999496 + 1. assign V738347 = V176651 + 1. assign V642223 = V347980 - 1. assign V105875 = V426946 - 1. assign V901641 = V982112 + 1. assign V368180 = V799181. assign V020475 = V221791 - 1. assign V511028 = V765188. assign V747017 = V578326. assign V125061 = V322637. assign V958182 = V566006 - 1. assign V329880 = V673176 - 1. assign V033258 = V794262 - 1. assign V354992 = V335651 - 1. assign V508391 = V372662 + 1. assign V280931 = V608216. assign V884294 = V610287 - 1. assign V755391 = V518910. assign V175147 = V316962 - 1. assign V984534 = V979758 - 1. assign V515182 = V673176 - 1. assign V180038 = V909456. assign V197494 = V180038 - 1. assign V103411 = V518910 - 1. assign V372662 = V465643 + 1. assign V347980 = V335651 + 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):\nV255054 = 6;\n\nFrom these direct assignment(s), we have: \nV032012 = V255054 = 6;\nNo other variables can be derived from V032012;\nNo other variables can be derived from V255054;\n\nNow we have done all the calculations. Derived variables are:\nV255054 = 6;\nV032012 = 6;\n\nNow we have finished this problem. ANSWER:\nV255054, V032012\n", "role": "assistant" } ]

[ "V644155", "V007504" ]

[ { "content": "<context>\nassign V566532 = V528049 + 1. assign V041441 = V738535 - 1. assign V146999 = V504854 + 1. assign V872498 = V698812. assign V772543 = V501433. assign V981874 = V872498 + 1. assign V371583 = V506896. assign V325097 = V960095 + 1. assign V264906 = V786254 - 1. assign V918423 = V027144. assign V341890 = V721296. assign V395834 = V833460. assign V946600 = V140307 + 1. assign V886036 = V626171. assign V420406 = V247694. assign V312307 = V103641 - 1. assign V284922 = V041441 - 1. assign V199758 = V198533 - 1. assign V087113 = V598164 + 1. assign V459852 = V651488 + 1. assign V791982 = V333680. assign V145884 = V819079. assign V909373 = V273660. assign V706501 = V459150 + 1. assign V379109 = V932665. assign V079640 = V566532 - 1. assign V932708 = V820416. assign V501433 = V698812 + 1. assign V148911 = V566532 + 1. assign V912368 = V690699 + 1. assign V073114 = V815234 + 1. assign V690699 = V598164 - 1. assign V288677 = V793081 - 1. assign V754788 = V340523 + 1. assign V841006 = V087113 - 1. assign V873888 = V878575 + 1. assign V405481 = V551437 + 1. assign V123539 = V030867 - 1. assign V945034 = V341890 - 1. assign V651488 = V506828. assign V230499 = V316457 + 1. assign V604913 = V886036 + 1. assign V686428 = V145884 + 1. assign V948448 = V190282. assign V506896 = V312307 - 1. assign V786254 = V668165 + 1. assign V574873 = V899943 + 1. assign V030867 = V027144 + 1. assign V198533 = V351402 - 1. assign V528569 = V190282 - 1. assign V991415 = V145884 + 1. assign V532116 = V849419 - 1. assign V877258 = V819079. assign V820416 = V119495 + 1. assign V845031 = V836019 - 1. assign V317390 = V626171. assign V273337 = V706501 + 1. assign V899943 = V312307 + 1. assign V340523 = V273660 + 1. assign V055501 = V499698 + 1. assign V663462 = V899943 + 1. assign V327302 = V333680 - 1. assign V684678 = V372479 - 1. assign V499698 = V420406. assign V748948 = V819079. assign V878575 = V929880 - 1. assign V565114 = V690699 - 1. assign V698812 = V894910. assign V641934 = V836019. assign V247694 = V103641. assign V430744 = V626171 + 1. assign V940296 = V016440 - 1. assign V382550 = V454264 - 1. assign V196353 = V532116. assign V098527 = V340523 - 1. assign V506828 = V103641. assign V176394 = V087113 + 1. assign V856341 = V815234 - 1. assign V855594 = V872498 + 1. assign V767049 = V899943 - 1. assign V849419 = V103641 + 1. assign V833460 = V312307. assign V551437 = V099966. assign V316457 = V578315 + 1. assign V896795 = V742682 - 1. assign V578315 = V836019 + 1. assign V356225 = V273660. assign V884229 = V626171 - 1. assign V960095 = V849419 + 1. assign V140307 = V247694. assign V519738 = V273660 + 1. assign V190282 = V312307 + 1. assign V644155 = 8. assign V384391 = V027144 + 1. assign V668165 = V145884 + 1. assign V103641 = V940296. assign V321703 = V836019. assign V625994 = V641934. assign V027144 = V872498 - 1. assign V351402 = V027144 - 1. assign V093576 = V273660. assign V629385 = V684678. assign V433386 = V121750 - 1. assign V273660 = V940296 + 1. assign V798970 = V103641 - 1. assign V625537 = V420406 + 1. assign V598164 = V698812 - 1. assign V099966 = V625537 - 1. assign V691635 = V574873 - 1. assign V933570 = V836019 - 1. assign V932665 = V273660 + 1. assign V014432 = V894910 - 1. assign V674655 = V152020 - 1. assign V647163 = V148911 + 1. assign V868465 = V321703 - 1. assign V382695 = V710894 + 1. assign V867329 = V819079 - 1. assign V333680 = V504854 - 1. assign V273904 = V932665 - 1. assign V793081 = V841006. assign V179642 = V793081 + 1. assign V265214 = V845031 - 1. assign V672508 = V738535 + 1. assign V815234 = V030867. assign V933766 = V762792 - 1. assign V121750 = V501433 - 1. assign V742682 = V103641. assign V577414 = V889437. assign V007504 = V644155. assign V699833 = V247694. assign V028010 = V690699 + 1. assign V095898 = V317390 + 1. assign V819079 = V698812 - 1. assign V390925 = V119495. assign V183877 = V073114 + 1. assign V012701 = V093576 - 1. assign V504854 = V819079 - 1. assign V418809 = V519738 - 1. assign V476647 = V884229 - 1. assign V152020 = V836019 - 1. assign V739736 = V855594. assign V762792 = V341199 - 1. assign V710894 = V341199 + 1. assign V929880 = V030867 + 1. assign V101939 = V933766 + 1. assign V900946 = V430744. assign V618677 = V625537 + 1. assign V048360 = V351402 - 1. assign V642889 = V371583. assign V341199 = V140307. assign V644750 = V321703. assign V376407 = V146999 - 1. assign V372479 = V316457 - 1. assign V836019 = V030867 - 1. assign V796401 = V878575. assign V549794 = V390925 - 1. assign V889437 = V087113 - 1. assign V109006 = V836019 - 1. assign V686110 = V706501 - 1. assign V738535 = V454264. assign V459150 = V878575 + 1. assign V721296 = V845031. assign V235520 = V647163 + 1. assign V046300 = V048360 - 1. assign V877467 = V317390 - 1. assign V721807 = V686428 + 1. assign V454264 = V027144 + 1. assign V528049 = V384391 - 1. assign V327850 = V099966. assign V119495 = V152020 - 1. assign V626171 = V836019. assign V894910 = V103641 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V566532 = V528049 + 1. assign V041441 = V738535 - 1. assign V146999 = V504854 + 1. assign V872498 = V698812. assign V772543 = V501433. assign V981874 = V872498 + 1. assign V371583 = V506896. assign V325097 = V960095 + 1. assign V264906 = V786254 - 1. assign V918423 = V027144. assign V341890 = V721296. assign V395834 = V833460. assign V946600 = V140307 + 1. assign V886036 = V626171. assign V420406 = V247694. assign V312307 = V103641 - 1. assign V284922 = V041441 - 1. assign V199758 = V198533 - 1. assign V087113 = V598164 + 1. assign V459852 = V651488 + 1. assign V791982 = V333680. assign V145884 = V819079. assign V909373 = V273660. assign V706501 = V459150 + 1. assign V379109 = V932665. assign V079640 = V566532 - 1. assign V932708 = V820416. assign V501433 = V698812 + 1. assign V148911 = V566532 + 1. assign V912368 = V690699 + 1. assign V073114 = V815234 + 1. assign V690699 = V598164 - 1. assign V288677 = V793081 - 1. assign V754788 = V340523 + 1. assign V841006 = V087113 - 1. assign V873888 = V878575 + 1. assign V405481 = V551437 + 1. assign V123539 = V030867 - 1. assign V945034 = V341890 - 1. assign V651488 = V506828. assign V230499 = V316457 + 1. assign V604913 = V886036 + 1. assign V686428 = V145884 + 1. assign V948448 = V190282. assign V506896 = V312307 - 1. assign V786254 = V668165 + 1. assign V574873 = V899943 + 1. assign V030867 = V027144 + 1. assign V198533 = V351402 - 1. assign V528569 = V190282 - 1. assign V991415 = V145884 + 1. assign V532116 = V849419 - 1. assign V877258 = V819079. assign V820416 = V119495 + 1. assign V845031 = V836019 - 1. assign V317390 = V626171. assign V273337 = V706501 + 1. assign V899943 = V312307 + 1. assign V340523 = V273660 + 1. assign V055501 = V499698 + 1. assign V663462 = V899943 + 1. assign V327302 = V333680 - 1. assign V684678 = V372479 - 1. assign V499698 = V420406. assign V748948 = V819079. assign V878575 = V929880 - 1. assign V565114 = V690699 - 1. assign V698812 = V894910. assign V641934 = V836019. assign V247694 = V103641. assign V430744 = V626171 + 1. assign V940296 = V016440 - 1. assign V382550 = V454264 - 1. assign V196353 = V532116. assign V098527 = V340523 - 1. assign V506828 = V103641. assign V176394 = V087113 + 1. assign V856341 = V815234 - 1. assign V855594 = V872498 + 1. assign V767049 = V899943 - 1. assign V849419 = V103641 + 1. assign V833460 = V312307. assign V551437 = V099966. assign V316457 = V578315 + 1. assign V896795 = V742682 - 1. assign V578315 = V836019 + 1. assign V356225 = V273660. assign V884229 = V626171 - 1. assign V960095 = V849419 + 1. assign V140307 = V247694. assign V519738 = V273660 + 1. assign V190282 = V312307 + 1. assign V644155 = 8. assign V384391 = V027144 + 1. assign V668165 = V145884 + 1. assign V103641 = V940296. assign V321703 = V836019. assign V625994 = V641934. assign V027144 = V872498 - 1. assign V351402 = V027144 - 1. assign V093576 = V273660. assign V629385 = V684678. assign V433386 = V121750 - 1. assign V273660 = V940296 + 1. assign V798970 = V103641 - 1. assign V625537 = V420406 + 1. assign V598164 = V698812 - 1. assign V099966 = V625537 - 1. assign V691635 = V574873 - 1. assign V933570 = V836019 - 1. assign V932665 = V273660 + 1. assign V014432 = V894910 - 1. assign V674655 = V152020 - 1. assign V647163 = V148911 + 1. assign V868465 = V321703 - 1. assign V382695 = V710894 + 1. assign V867329 = V819079 - 1. assign V333680 = V504854 - 1. assign V273904 = V932665 - 1. assign V793081 = V841006. assign V179642 = V793081 + 1. assign V265214 = V845031 - 1. assign V672508 = V738535 + 1. assign V815234 = V030867. assign V933766 = V762792 - 1. assign V121750 = V501433 - 1. assign V742682 = V103641. assign V577414 = V889437. assign V007504 = V644155. assign V699833 = V247694. assign V028010 = V690699 + 1. assign V095898 = V317390 + 1. assign V819079 = V698812 - 1. assign V390925 = V119495. assign V183877 = V073114 + 1. assign V012701 = V093576 - 1. assign V504854 = V819079 - 1. assign V418809 = V519738 - 1. assign V476647 = V884229 - 1. assign V152020 = V836019 - 1. assign V739736 = V855594. assign V762792 = V341199 - 1. assign V710894 = V341199 + 1. assign V929880 = V030867 + 1. assign V101939 = V933766 + 1. assign V900946 = V430744. assign V618677 = V625537 + 1. assign V048360 = V351402 - 1. assign V642889 = V371583. assign V341199 = V140307. assign V644750 = V321703. assign V376407 = V146999 - 1. assign V372479 = V316457 - 1. assign V836019 = V030867 - 1. assign V796401 = V878575. assign V549794 = V390925 - 1. assign V889437 = V087113 - 1. assign V109006 = V836019 - 1. assign V686110 = V706501 - 1. assign V738535 = V454264. assign V459150 = V878575 + 1. assign V721296 = V845031. assign V235520 = V647163 + 1. assign V046300 = V048360 - 1. assign V877467 = V317390 - 1. assign V721807 = V686428 + 1. assign V454264 = V027144 + 1. assign V528049 = V384391 - 1. assign V327850 = V099966. assign V119495 = V152020 - 1. assign V626171 = V836019. assign V894910 = V103641 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV644155 = 8;\n\nFrom these direct assignment(s), we have: \nV007504 = V644155 = 8;\nNo other variables can be derived from V007504;\nNo other variables can be derived from V644155;\n\nNow we have done all the calculations. Derived variables are:\nV644155 = 8;\nV007504 = 8;\n\nNow we have finished this problem. ANSWER:\nV644155, V007504\n", "role": "assistant" } ]

[ "V834244" ]

[ { "content": "<context>\nassign V899226 = V671164 + 1. assign V334942 = V374115 + 1. assign V876861 = V929570 + 1. assign V088399 = V671164. assign V581980 = V133870 - 1. assign V688924 = V146237. assign V550980 = V839504. assign V187679 = V201217 - 1. assign V183195 = V855569 - 1. assign V260804 = V272058. assign V603458 = V201217 + 1. assign V637766 = V454120 + 1. assign V111769 = V968145. assign V969295 = V526737 + 1. assign V072150 = V871608. assign V796728 = V088663 + 1. assign V828556 = V724013 - 1. assign V843443 = V571088 + 1. assign V363883 = V839504. assign V546429 = V068088 + 1. assign V861444 = V044578 - 1. assign V834244 = V301303 + 1. assign V458585 = V272058 - 1. assign V213404 = V671164 + 1. assign V598863 = V334942 - 1. assign V533752 = V133870 - 1. assign V836265 = V812108 - 1. assign V455209 = V088399 - 1. assign V122453 = V954475 - 1. assign V350029 = V672776. assign V703732 = V429285 - 1. assign V661431 = V374115 + 1. assign V338497 = V603458 + 1. assign V929570 = V666692 - 1. assign V220552 = V526737 + 1. assign V839504 = V088399 - 1. assign V668039 = V121132 - 1. assign V526128 = V201217 + 1. assign V011759 = V128924. assign V543162 = V163698 - 1. assign V089231 = V675767 - 1. assign V402339 = V398438 - 1. assign V247144 = V088399 + 1. assign V975757 = V671164. assign V251824 = V554228. assign V912724 = V671164. assign V856601 = V426007 - 1. assign V580472 = V213404 - 1. assign V374115 = V912724. assign V010990 = V617305 - 1. assign V504044 = V724013 + 1. assign V986684 = V646666 - 1. assign V753784 = V671164 + 1. assign V334551 = V912724 - 1. assign V070595 = V554228 - 1. assign V846887 = V088663 + 1. assign V533432 = V796728. assign V871608 = V839504. assign V386625 = V603458. assign V855569 = V133870. assign V013568 = V533432. assign V272058 = V088399. assign V810975 = V975757 - 1. assign V652201 = V968145 - 1. assign V060385 = V812108 - 1. assign V004641 = V913061. assign V954475 = V821916 + 1. assign V398438 = V167384 - 1. assign V666692 = V839504. assign V981591 = V688924. assign V823399 = V543162 + 1. assign V086994 = V617305. assign V881925 = V652201 - 1. assign V972100 = V183195 + 1. assign V959311 = V581980. assign V641844 = V076217 + 1. assign V118301 = V272058 - 1. assign V088663 = V975757. assign V520441 = V646666. assign V758262 = V272058 + 1. assign V642611 = V581980 - 1. assign V201208 = V924645 + 1. assign V087094 = V010990 + 1. assign V142219 = V817839 - 1. assign V914483 = V010990 + 1. assign V662610 = V836265 - 1. assign V301303 = 6. assign V812108 = V334942 + 1. assign V724013 = V088663 + 1. assign V802846 = V913061 + 1. assign V163698 = V724013. assign V819598 = V454120 + 1. assign V617305 = V088663 + 1. assign V931479 = V272058. assign V937876 = V812108 + 1. assign V764887 = V187679 - 1. assign V917852 = V871608 + 1. assign V646666 = V438742 - 1. assign V044578 = V844524 + 1. assign V238331 = V213404 - 1. assign V236647 = V812108. assign V076217 = V167384 + 1. assign V457162 = V675767 - 1. assign V128924 = V724013. assign V437507 = V642611 - 1. assign V900640 = V247144 - 1. assign V716002 = V950290. assign V614614 = V637766 - 1. assign V454120 = V499898. assign V903021 = V968145 - 1. assign V554228 = V855569 - 1. assign V526737 = V213404 + 1. assign V442835 = V426007. assign V358411 = V398438 + 1. assign V146237 = V264725 - 1. assign V139168 = V013568 + 1. assign V675767 = V871358 - 1. assign V438742 = V671164 + 1. assign V726291 = V070595 + 1. assign V045096 = V931479. assign V844524 = V821916 - 1. assign V884676 = V912724 + 1. assign V499898 = V671164. assign V888225 = V796254. assign V188314 = V533432 - 1. assign V426007 = V374115 - 1. assign V424674 = V264725. assign V221899 = V259030. assign V913061 = V533432 - 1. assign V892831 = V937876. assign V724585 = V206840. assign V924645 = V614614 - 1. assign V133870 = V374115 + 1. assign V787297 = V662610 + 1. assign V259030 = V753784 - 1. assign V068088 = V724013. assign V167384 = V213404 + 1. assign V264725 = V133870 + 1. assign V121132 = V146237 - 1. assign V947066 = V438742 - 1. assign V445088 = V247144 - 1. assign V950290 = V338497 - 1. assign V375667 = V821916. assign V098965 = V394188. assign V821916 = V846887. assign V655419 = V111769. assign V140666 = V668039. assign V822265 = V076217 + 1. assign V544467 = V600204 - 1. assign V768558 = V526737 - 1. assign V047285 = V442835 - 1. assign V163550 = V603458 - 1. assign V672776 = V374115. assign V971306 = V011759. assign V481692 = V600204 + 1. assign V968145 = V540806 - 1. assign V394188 = V844524 + 1. assign V540806 = V972100. assign V871358 = V133870 + 1. assign V600204 = V272058 - 1. assign V554298 = V334942. assign V842460 = V543162 + 1. assign V346641 = V499898. assign V571088 = V526737 - 1. assign V201217 = V088399 - 1. assign V206840 = V167384. assign V817839 = V133870 - 1. assign V119013 = V201217. assign V429285 = V839504 - 1. assign V796254 = V844524. assign V058898 = V817839 + 1. assign V603945 = V394188.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V899226 = V671164 + 1. assign V334942 = V374115 + 1. assign V876861 = V929570 + 1. assign V088399 = V671164. assign V581980 = V133870 - 1. assign V688924 = V146237. assign V550980 = V839504. assign V187679 = V201217 - 1. assign V183195 = V855569 - 1. assign V260804 = V272058. assign V603458 = V201217 + 1. assign V637766 = V454120 + 1. assign V111769 = V968145. assign V969295 = V526737 + 1. assign V072150 = V871608. assign V796728 = V088663 + 1. assign V828556 = V724013 - 1. assign V843443 = V571088 + 1. assign V363883 = V839504. assign V546429 = V068088 + 1. assign V861444 = V044578 - 1. assign V834244 = V301303 + 1. assign V458585 = V272058 - 1. assign V213404 = V671164 + 1. assign V598863 = V334942 - 1. assign V533752 = V133870 - 1. assign V836265 = V812108 - 1. assign V455209 = V088399 - 1. assign V122453 = V954475 - 1. assign V350029 = V672776. assign V703732 = V429285 - 1. assign V661431 = V374115 + 1. assign V338497 = V603458 + 1. assign V929570 = V666692 - 1. assign V220552 = V526737 + 1. assign V839504 = V088399 - 1. assign V668039 = V121132 - 1. assign V526128 = V201217 + 1. assign V011759 = V128924. assign V543162 = V163698 - 1. assign V089231 = V675767 - 1. assign V402339 = V398438 - 1. assign V247144 = V088399 + 1. assign V975757 = V671164. assign V251824 = V554228. assign V912724 = V671164. assign V856601 = V426007 - 1. assign V580472 = V213404 - 1. assign V374115 = V912724. assign V010990 = V617305 - 1. assign V504044 = V724013 + 1. assign V986684 = V646666 - 1. assign V753784 = V671164 + 1. assign V334551 = V912724 - 1. assign V070595 = V554228 - 1. assign V846887 = V088663 + 1. assign V533432 = V796728. assign V871608 = V839504. assign V386625 = V603458. assign V855569 = V133870. assign V013568 = V533432. assign V272058 = V088399. assign V810975 = V975757 - 1. assign V652201 = V968145 - 1. assign V060385 = V812108 - 1. assign V004641 = V913061. assign V954475 = V821916 + 1. assign V398438 = V167384 - 1. assign V666692 = V839504. assign V981591 = V688924. assign V823399 = V543162 + 1. assign V086994 = V617305. assign V881925 = V652201 - 1. assign V972100 = V183195 + 1. assign V959311 = V581980. assign V641844 = V076217 + 1. assign V118301 = V272058 - 1. assign V088663 = V975757. assign V520441 = V646666. assign V758262 = V272058 + 1. assign V642611 = V581980 - 1. assign V201208 = V924645 + 1. assign V087094 = V010990 + 1. assign V142219 = V817839 - 1. assign V914483 = V010990 + 1. assign V662610 = V836265 - 1. assign V301303 = 6. assign V812108 = V334942 + 1. assign V724013 = V088663 + 1. assign V802846 = V913061 + 1. assign V163698 = V724013. assign V819598 = V454120 + 1. assign V617305 = V088663 + 1. assign V931479 = V272058. assign V937876 = V812108 + 1. assign V764887 = V187679 - 1. assign V917852 = V871608 + 1. assign V646666 = V438742 - 1. assign V044578 = V844524 + 1. assign V238331 = V213404 - 1. assign V236647 = V812108. assign V076217 = V167384 + 1. assign V457162 = V675767 - 1. assign V128924 = V724013. assign V437507 = V642611 - 1. assign V900640 = V247144 - 1. assign V716002 = V950290. assign V614614 = V637766 - 1. assign V454120 = V499898. assign V903021 = V968145 - 1. assign V554228 = V855569 - 1. assign V526737 = V213404 + 1. assign V442835 = V426007. assign V358411 = V398438 + 1. assign V146237 = V264725 - 1. assign V139168 = V013568 + 1. assign V675767 = V871358 - 1. assign V438742 = V671164 + 1. assign V726291 = V070595 + 1. assign V045096 = V931479. assign V844524 = V821916 - 1. assign V884676 = V912724 + 1. assign V499898 = V671164. assign V888225 = V796254. assign V188314 = V533432 - 1. assign V426007 = V374115 - 1. assign V424674 = V264725. assign V221899 = V259030. assign V913061 = V533432 - 1. assign V892831 = V937876. assign V724585 = V206840. assign V924645 = V614614 - 1. assign V133870 = V374115 + 1. assign V787297 = V662610 + 1. assign V259030 = V753784 - 1. assign V068088 = V724013. assign V167384 = V213404 + 1. assign V264725 = V133870 + 1. assign V121132 = V146237 - 1. assign V947066 = V438742 - 1. assign V445088 = V247144 - 1. assign V950290 = V338497 - 1. assign V375667 = V821916. assign V098965 = V394188. assign V821916 = V846887. assign V655419 = V111769. assign V140666 = V668039. assign V822265 = V076217 + 1. assign V544467 = V600204 - 1. assign V768558 = V526737 - 1. assign V047285 = V442835 - 1. assign V163550 = V603458 - 1. assign V672776 = V374115. assign V971306 = V011759. assign V481692 = V600204 + 1. assign V968145 = V540806 - 1. assign V394188 = V844524 + 1. assign V540806 = V972100. assign V871358 = V133870 + 1. assign V600204 = V272058 - 1. assign V554298 = V334942. assign V842460 = V543162 + 1. assign V346641 = V499898. assign V571088 = V526737 - 1. assign V201217 = V088399 - 1. assign V206840 = V167384. assign V817839 = V133870 - 1. assign V119013 = V201217. assign V429285 = V839504 - 1. assign V796254 = V844524. assign V058898 = V817839 + 1. assign V603945 = V394188.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV301303 = 6;\n\nFrom these direct assignment(s), we have: \nV834244 = V301303 + 1 = 6 + 1 =7;\nNo other variables can be derived from V834244;\nNo other variables can be derived from V301303;\n\nNow we have done all the calculations. Derived variables are:\nV301303 = 6;\nV834244 = 7;\n\nNow we have finished this problem. ANSWER:\nV834244\n", "role": "assistant" } ]

[ "V975982" ]

[ { "content": "<context>\nassign V528806 = V592053. assign V004651 = V701105. assign V809636 = V084364 - 1. assign V820448 = V734837 + 1. assign V803392 = V391798 + 1. assign V605309 = V904674. assign V015717 = V707345. assign V309639 = V374315 + 1. assign V442426 = V610813 + 1. assign V010225 = V896598 - 1. assign V470354 = V158953 + 1. assign V688645 = V610813 - 1. assign V077069 = V316417 + 1. assign V587419 = V031857 + 1. assign V267688 = V414473. assign V531569 = V470354 - 1. assign V016371 = V271595 - 1. assign V811725 = V414473. assign V553199 = V402368 + 1. assign V078138 = V804595. assign V423296 = V084364 + 1. assign V170956 = V146930 - 1. assign V167564 = V730741 + 1. assign V730741 = V257914 + 1. assign V349026 = V009640 + 1. assign V553508 = V232344 - 1. assign V495345 = V009640 - 1. assign V132163 = V814278 + 1. assign V388749 = V735478 - 1. assign V186791 = V330116 - 1. assign V471706 = V414473 - 1. assign V497550 = V734837 - 1. assign V063101 = V666903 + 1. assign V735478 = V610813. assign V402368 = V707345. assign V031857 = V442426. assign V617877 = V814278. assign V371006 = V391798 - 1. assign V804595 = V707345 - 1. assign V253785 = V088799. assign V163853 = V077069. assign V160460 = V059986 + 1. assign V030145 = V905383. assign V758008 = V605309 + 1. assign V135185 = V897300. assign V235702 = V905383. assign V701105 = V707345. assign V592053 = V423296 + 1. assign V646807 = V160460 + 1. assign V746388 = V088799 - 1. assign V391798 = V088799 - 1. assign V758067 = V330116. assign V330663 = V442426 - 1. assign V202559 = V758008 - 1. assign V430235 = V605309 - 1. assign V680337 = V495345 - 1. assign V443417 = V084364. assign V893956 = V078138. assign V474765 = V178341. assign V860587 = V267688 + 1. assign V447586 = V158953. assign V031749 = V474765 - 1. assign V760883 = V158953. assign V460778 = V638586 - 1. assign V127159 = V903607. assign V059986 = V414473. assign V862482 = V470354. assign V027768 = V253785. assign V072830 = V707345. assign V849495 = V903607. assign V701552 = V295764 - 1. assign V816826 = V257914 + 1. assign V043875 = V539622 + 1. assign V679588 = V528806 + 1. assign V208860 = V857035 - 1. assign V520910 = V059986 - 1. assign V597334 = V553199 - 1. assign V114070 = V027768 - 1. assign V991240 = V804595 + 1. assign V556440 = V253785 + 1. assign V589279 = V893956 - 1. assign V646563 = V734837 - 1. assign V824359 = V296312 + 1. assign V277706 = V253785 + 1. assign V698060 = V735478 - 1. assign V996200 = V309639 - 1. assign V456333 = V707345 - 1. assign V975800 = V638586. assign V734837 = V391798. assign V654208 = V735478 + 1. assign V962661 = V088799. assign V577436 = V830486 + 1. assign V368058 = V688645 - 1. assign V689409 = V814278 - 1. assign V330116 = V275759 + 1. assign V146930 = V253785. assign V186500 = V040496 - 1. assign V539622 = V666903 - 1. assign V009640 = V962661 - 1. assign V905383 = V116234 - 1. assign V454297 = V308146 + 1. assign V271595 = V471706 + 1. assign V939771 = V271595 - 1. assign V944373 = V368058 + 1. assign V830486 = V308146 - 1. assign V489789 = V388749. assign V092187 = V015717. assign V192406 = V553508 - 1. assign V316417 = V541109 - 1. assign V763326 = V497550 - 1. assign V740603 = V063101 + 1. assign V116234 = V878347 + 1. assign V741638 = V013425 + 1. assign V858223 = V925844 - 1. assign V013425 = V423296 + 1. assign V505148 = V009640. assign V814278 = V257914 + 1. assign V421601 = V278386. assign V178341 = V015717 + 1. assign V600926 = V549848. assign V857035 = V021220 - 1. assign V295764 = V962661 + 1. assign V414473 = V638586. assign V893984 = V617877. assign V545704 = V470354. assign V158953 = V391798 + 1. assign V650030 = V278386. assign V479961 = V734837. assign V296312 = V553199 + 1. assign V018693 = 1. assign V638586 = V541109 + 1. assign V008906 = V275759. assign V021220 = V605309 + 1. assign V738026 = V857035 - 1. assign V067980 = V497550. assign V001276 = V330663. assign V374315 = V916109 + 1. assign V610813 = V730741. assign V541109 = V088799 + 1. assign V896598 = V811725 + 1. assign V326561 = V004651 - 1. assign V878347 = V730741 + 1. assign V778817 = V072830. assign V131402 = V505148. assign V232344 = V316417 - 1. assign V916109 = V232344 + 1. assign V261999 = V391798. assign V975982 = V018693 - 1. assign V159744 = V975800 - 1. assign V666903 = V261999 + 1. assign V084364 = V158953 - 1. assign V114519 = V261999. assign V866784 = V232344. assign V308146 = V904674. assign V207221 = V541109 - 1. assign V257914 = V209854 - 1. assign V630232 = V760883 + 1. assign V256793 = V734837 - 1. assign V278386 = V253785 - 1. assign V925844 = V013425. assign V255736 = V013425. assign V040496 = V454297 - 1. assign V904674 = V072830 + 1. assign V415838 = V605309. assign V903607 = V758008 + 1. assign V275759 = V391798 - 1. assign V707345 = V088799. assign V549848 = V456333. assign V897300 = V088799 + 1. assign V580287 = V072830 - 1. assign V948751 = V253785. assign V209854 = V707345 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V528806 = V592053. assign V004651 = V701105. assign V809636 = V084364 - 1. assign V820448 = V734837 + 1. assign V803392 = V391798 + 1. assign V605309 = V904674. assign V015717 = V707345. assign V309639 = V374315 + 1. assign V442426 = V610813 + 1. assign V010225 = V896598 - 1. assign V470354 = V158953 + 1. assign V688645 = V610813 - 1. assign V077069 = V316417 + 1. assign V587419 = V031857 + 1. assign V267688 = V414473. assign V531569 = V470354 - 1. assign V016371 = V271595 - 1. assign V811725 = V414473. assign V553199 = V402368 + 1. assign V078138 = V804595. assign V423296 = V084364 + 1. assign V170956 = V146930 - 1. assign V167564 = V730741 + 1. assign V730741 = V257914 + 1. assign V349026 = V009640 + 1. assign V553508 = V232344 - 1. assign V495345 = V009640 - 1. assign V132163 = V814278 + 1. assign V388749 = V735478 - 1. assign V186791 = V330116 - 1. assign V471706 = V414473 - 1. assign V497550 = V734837 - 1. assign V063101 = V666903 + 1. assign V735478 = V610813. assign V402368 = V707345. assign V031857 = V442426. assign V617877 = V814278. assign V371006 = V391798 - 1. assign V804595 = V707345 - 1. assign V253785 = V088799. assign V163853 = V077069. assign V160460 = V059986 + 1. assign V030145 = V905383. assign V758008 = V605309 + 1. assign V135185 = V897300. assign V235702 = V905383. assign V701105 = V707345. assign V592053 = V423296 + 1. assign V646807 = V160460 + 1. assign V746388 = V088799 - 1. assign V391798 = V088799 - 1. assign V758067 = V330116. assign V330663 = V442426 - 1. assign V202559 = V758008 - 1. assign V430235 = V605309 - 1. assign V680337 = V495345 - 1. assign V443417 = V084364. assign V893956 = V078138. assign V474765 = V178341. assign V860587 = V267688 + 1. assign V447586 = V158953. assign V031749 = V474765 - 1. assign V760883 = V158953. assign V460778 = V638586 - 1. assign V127159 = V903607. assign V059986 = V414473. assign V862482 = V470354. assign V027768 = V253785. assign V072830 = V707345. assign V849495 = V903607. assign V701552 = V295764 - 1. assign V816826 = V257914 + 1. assign V043875 = V539622 + 1. assign V679588 = V528806 + 1. assign V208860 = V857035 - 1. assign V520910 = V059986 - 1. assign V597334 = V553199 - 1. assign V114070 = V027768 - 1. assign V991240 = V804595 + 1. assign V556440 = V253785 + 1. assign V589279 = V893956 - 1. assign V646563 = V734837 - 1. assign V824359 = V296312 + 1. assign V277706 = V253785 + 1. assign V698060 = V735478 - 1. assign V996200 = V309639 - 1. assign V456333 = V707345 - 1. assign V975800 = V638586. assign V734837 = V391798. assign V654208 = V735478 + 1. assign V962661 = V088799. assign V577436 = V830486 + 1. assign V368058 = V688645 - 1. assign V689409 = V814278 - 1. assign V330116 = V275759 + 1. assign V146930 = V253785. assign V186500 = V040496 - 1. assign V539622 = V666903 - 1. assign V009640 = V962661 - 1. assign V905383 = V116234 - 1. assign V454297 = V308146 + 1. assign V271595 = V471706 + 1. assign V939771 = V271595 - 1. assign V944373 = V368058 + 1. assign V830486 = V308146 - 1. assign V489789 = V388749. assign V092187 = V015717. assign V192406 = V553508 - 1. assign V316417 = V541109 - 1. assign V763326 = V497550 - 1. assign V740603 = V063101 + 1. assign V116234 = V878347 + 1. assign V741638 = V013425 + 1. assign V858223 = V925844 - 1. assign V013425 = V423296 + 1. assign V505148 = V009640. assign V814278 = V257914 + 1. assign V421601 = V278386. assign V178341 = V015717 + 1. assign V600926 = V549848. assign V857035 = V021220 - 1. assign V295764 = V962661 + 1. assign V414473 = V638586. assign V893984 = V617877. assign V545704 = V470354. assign V158953 = V391798 + 1. assign V650030 = V278386. assign V479961 = V734837. assign V296312 = V553199 + 1. assign V018693 = 1. assign V638586 = V541109 + 1. assign V008906 = V275759. assign V021220 = V605309 + 1. assign V738026 = V857035 - 1. assign V067980 = V497550. assign V001276 = V330663. assign V374315 = V916109 + 1. assign V610813 = V730741. assign V541109 = V088799 + 1. assign V896598 = V811725 + 1. assign V326561 = V004651 - 1. assign V878347 = V730741 + 1. assign V778817 = V072830. assign V131402 = V505148. assign V232344 = V316417 - 1. assign V916109 = V232344 + 1. assign V261999 = V391798. assign V975982 = V018693 - 1. assign V159744 = V975800 - 1. assign V666903 = V261999 + 1. assign V084364 = V158953 - 1. assign V114519 = V261999. assign V866784 = V232344. assign V308146 = V904674. assign V207221 = V541109 - 1. assign V257914 = V209854 - 1. assign V630232 = V760883 + 1. assign V256793 = V734837 - 1. assign V278386 = V253785 - 1. assign V925844 = V013425. assign V255736 = V013425. assign V040496 = V454297 - 1. assign V904674 = V072830 + 1. assign V415838 = V605309. assign V903607 = V758008 + 1. assign V275759 = V391798 - 1. assign V707345 = V088799. assign V549848 = V456333. assign V897300 = V088799 + 1. assign V580287 = V072830 - 1. assign V948751 = V253785. assign V209854 = V707345 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV018693 = 1;\n\nFrom these direct assignment(s), we have: \nV975982 = V018693 - 1 = 1 - 1 =0;\nNo other variables can be derived from V975982;\nNo other variables can be derived from V018693;\n\nNow we have done all the calculations. Derived variables are:\nV018693 = 1;\nV975982 = 0;\n\nNow we have finished this problem. ANSWER:\nV975982\n", "role": "assistant" } ]

[ "V037472" ]

[ { "content": "<context>\nassign V601833 = V571429 - 1. assign V541084 = V181593 - 1. assign V333572 = V931519 - 1. assign V440949 = V405655. assign V423429 = V082526. assign V429601 = V376436. assign V290783 = V499741 - 1. assign V981007 = V518974 - 1. assign V111711 = V718069 + 1. assign V426100 = V521560 + 1. assign V085105 = V247265 + 1. assign V300069 = V389557. assign V611412 = V127654 + 1. assign V767259 = V709687. assign V097693 = V601833. assign V127634 = V899158. assign V708915 = V423429 + 1. assign V566162 = V231432. assign V290209 = V107059 + 1. assign V139538 = V437297 + 1. assign V550165 = V541084. assign V362893 = V601833. assign V495233 = V345814 - 1. assign V328107 = V390818 - 1. assign V885440 = V899158. assign V037472 = V307906 + 1. assign V082526 = V518974 + 1. assign V416170 = V181613 + 1. assign V749492 = V657514 + 1. assign V789996 = V779229. assign V657853 = V492665 + 1. assign V166259 = V571429 - 1. assign V906972 = V599221. assign V899158 = V082526 + 1. assign V700628 = V394360 + 1. assign V390818 = V708915 - 1. assign V697780 = V599221 + 1. assign V754708 = V410267. assign V029076 = V895588. assign V749067 = V182845 + 1. assign V936484 = V851967 + 1. assign V182845 = V518974. assign V512260 = V601833 + 1. assign V410407 = V530505 + 1. assign V409368 = V166259 + 1. assign V709687 = V571429. assign V896599 = V424126. assign V054794 = V082526. assign V465474 = V248840 + 1. assign V931519 = V248840. assign V440208 = V013398 - 1. assign V013398 = V986747. assign V798606 = V127634 - 1. assign V599221 = V231432 + 1. assign V776542 = V465474. assign V398390 = V085105. assign V856148 = V139379 - 1. assign V635031 = V429601 + 1. assign V914129 = V601833 + 1. assign V267645 = V139379 - 1. assign V243702 = V082526 - 1. assign V064244 = V899158 - 1. assign V836637 = V898096. assign V571429 = V518974 + 1. assign V405655 = V938279 + 1. assign V167597 = V181613 + 1. assign V385608 = V082526. assign V248840 = V745726. assign V902060 = V262075 - 1. assign V516532 = V290209. assign V181613 = V389557. assign V499741 = V082526 - 1. assign V364195 = V571429 - 1. assign V652564 = V604635. assign V801124 = V798145 + 1. assign V731271 = V262075. assign V353762 = V120143 + 1. assign V631768 = V319830. assign V657514 = V518974 - 1. assign V744436 = V082526. assign V403916 = V111711 + 1. assign V779495 = V898096 + 1. assign V410267 = V423429 + 1. assign V071443 = V362893 - 1. assign V619847 = V571429 + 1. assign V231432 = V499741 + 1. assign V718069 = V231432. assign V378039 = V389557 + 1. assign V375721 = V412977. assign V091854 = V657514. assign V500010 = V085105 - 1. assign V127654 = V530505. assign V512907 = V385608 + 1. assign V732386 = V345814 + 1. assign V162295 = V657853 - 1. assign V111818 = V728827 + 1. assign V319830 = V385608. assign V986747 = V085105 + 1. assign V792097 = V364195. assign V575521 = V290783. assign V734365 = V127634. assign V154323 = V362893 + 1. assign V353176 = V516532. assign V180041 = V410407 - 1. assign V938279 = V728827 + 1. assign V779229 = V127634. assign V320603 = V851967. assign V315159 = V423429. assign V851967 = V083336 + 1. assign V895588 = V247265 + 1. assign V435860 = V127654. assign V376436 = V896599 - 1. assign V247265 = V389557. assign V901396 = V054794 + 1. assign V597877 = V530505 + 1. assign V494199 = V389557. assign V461173 = V375721 - 1. assign V389557 = V899158. assign V728827 = V518974 - 1. assign V461420 = V530505 + 1. assign V898096 = V247265. assign V875265 = V911026 - 1. assign V798145 = V981007 - 1. assign V557084 = V378039. assign V823861 = V282169 - 1. assign V937851 = V986747. assign V312809 = V571429 - 1. assign V789969 = V657514 - 1. assign V774668 = V981007 + 1. assign V990042 = V937851. assign V849157 = V071443 - 1. assign V745390 = V416170 + 1. assign V437297 = V247265 + 1. assign V424126 = V499741. assign V083336 = V424126 - 1. assign V262075 = V800356. assign V907945 = V416170 - 1. assign V307906 = 0. assign V175036 = V181613 - 1. assign V174176 = V836637. assign V177502 = V300069. assign V394360 = V177502. assign V057028 = V575521 - 1. assign V915747 = V566162 + 1. assign V139379 = V530505 + 1. assign V604635 = V083336 - 1. assign V215509 = V353176 + 1. assign V245471 = V097693. assign V530505 = V518974 - 1. assign V412977 = V082526 + 1. assign V120143 = V127654 + 1. assign V648806 = V013398 + 1. assign V988965 = V013398. assign V063835 = V657853 + 1. assign V800356 = V416170 - 1. assign V663495 = V708915 - 1. assign V911026 = V986747 - 1. assign V745726 = V774668 - 1. assign V521560 = V899158. assign V181593 = V389557 + 1. assign V428997 = V345814 - 1. assign V396592 = V767259 - 1. assign V345814 = V243702 - 1. assign V024914 = V981007. assign V295599 = V013398. assign V381595 = V521560. assign V107059 = V181593. assign V978667 = V315159 - 1. assign V282169 = V364195 - 1. assign V427571 = V175036. assign V492616 = V097693 - 1. assign V492665 = V530505 - 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 V601833 = V571429 - 1. assign V541084 = V181593 - 1. assign V333572 = V931519 - 1. assign V440949 = V405655. assign V423429 = V082526. assign V429601 = V376436. assign V290783 = V499741 - 1. assign V981007 = V518974 - 1. assign V111711 = V718069 + 1. assign V426100 = V521560 + 1. assign V085105 = V247265 + 1. assign V300069 = V389557. assign V611412 = V127654 + 1. assign V767259 = V709687. assign V097693 = V601833. assign V127634 = V899158. assign V708915 = V423429 + 1. assign V566162 = V231432. assign V290209 = V107059 + 1. assign V139538 = V437297 + 1. assign V550165 = V541084. assign V362893 = V601833. assign V495233 = V345814 - 1. assign V328107 = V390818 - 1. assign V885440 = V899158. assign V037472 = V307906 + 1. assign V082526 = V518974 + 1. assign V416170 = V181613 + 1. assign V749492 = V657514 + 1. assign V789996 = V779229. assign V657853 = V492665 + 1. assign V166259 = V571429 - 1. assign V906972 = V599221. assign V899158 = V082526 + 1. assign V700628 = V394360 + 1. assign V390818 = V708915 - 1. assign V697780 = V599221 + 1. assign V754708 = V410267. assign V029076 = V895588. assign V749067 = V182845 + 1. assign V936484 = V851967 + 1. assign V182845 = V518974. assign V512260 = V601833 + 1. assign V410407 = V530505 + 1. assign V409368 = V166259 + 1. assign V709687 = V571429. assign V896599 = V424126. assign V054794 = V082526. assign V465474 = V248840 + 1. assign V931519 = V248840. assign V440208 = V013398 - 1. assign V013398 = V986747. assign V798606 = V127634 - 1. assign V599221 = V231432 + 1. assign V776542 = V465474. assign V398390 = V085105. assign V856148 = V139379 - 1. assign V635031 = V429601 + 1. assign V914129 = V601833 + 1. assign V267645 = V139379 - 1. assign V243702 = V082526 - 1. assign V064244 = V899158 - 1. assign V836637 = V898096. assign V571429 = V518974 + 1. assign V405655 = V938279 + 1. assign V167597 = V181613 + 1. assign V385608 = V082526. assign V248840 = V745726. assign V902060 = V262075 - 1. assign V516532 = V290209. assign V181613 = V389557. assign V499741 = V082526 - 1. assign V364195 = V571429 - 1. assign V652564 = V604635. assign V801124 = V798145 + 1. assign V731271 = V262075. assign V353762 = V120143 + 1. assign V631768 = V319830. assign V657514 = V518974 - 1. assign V744436 = V082526. assign V403916 = V111711 + 1. assign V779495 = V898096 + 1. assign V410267 = V423429 + 1. assign V071443 = V362893 - 1. assign V619847 = V571429 + 1. assign V231432 = V499741 + 1. assign V718069 = V231432. assign V378039 = V389557 + 1. assign V375721 = V412977. assign V091854 = V657514. assign V500010 = V085105 - 1. assign V127654 = V530505. assign V512907 = V385608 + 1. assign V732386 = V345814 + 1. assign V162295 = V657853 - 1. assign V111818 = V728827 + 1. assign V319830 = V385608. assign V986747 = V085105 + 1. assign V792097 = V364195. assign V575521 = V290783. assign V734365 = V127634. assign V154323 = V362893 + 1. assign V353176 = V516532. assign V180041 = V410407 - 1. assign V938279 = V728827 + 1. assign V779229 = V127634. assign V320603 = V851967. assign V315159 = V423429. assign V851967 = V083336 + 1. assign V895588 = V247265 + 1. assign V435860 = V127654. assign V376436 = V896599 - 1. assign V247265 = V389557. assign V901396 = V054794 + 1. assign V597877 = V530505 + 1. assign V494199 = V389557. assign V461173 = V375721 - 1. assign V389557 = V899158. assign V728827 = V518974 - 1. assign V461420 = V530505 + 1. assign V898096 = V247265. assign V875265 = V911026 - 1. assign V798145 = V981007 - 1. assign V557084 = V378039. assign V823861 = V282169 - 1. assign V937851 = V986747. assign V312809 = V571429 - 1. assign V789969 = V657514 - 1. assign V774668 = V981007 + 1. assign V990042 = V937851. assign V849157 = V071443 - 1. assign V745390 = V416170 + 1. assign V437297 = V247265 + 1. assign V424126 = V499741. assign V083336 = V424126 - 1. assign V262075 = V800356. assign V907945 = V416170 - 1. assign V307906 = 0. assign V175036 = V181613 - 1. assign V174176 = V836637. assign V177502 = V300069. assign V394360 = V177502. assign V057028 = V575521 - 1. assign V915747 = V566162 + 1. assign V139379 = V530505 + 1. assign V604635 = V083336 - 1. assign V215509 = V353176 + 1. assign V245471 = V097693. assign V530505 = V518974 - 1. assign V412977 = V082526 + 1. assign V120143 = V127654 + 1. assign V648806 = V013398 + 1. assign V988965 = V013398. assign V063835 = V657853 + 1. assign V800356 = V416170 - 1. assign V663495 = V708915 - 1. assign V911026 = V986747 - 1. assign V745726 = V774668 - 1. assign V521560 = V899158. assign V181593 = V389557 + 1. assign V428997 = V345814 - 1. assign V396592 = V767259 - 1. assign V345814 = V243702 - 1. assign V024914 = V981007. assign V295599 = V013398. assign V381595 = V521560. assign V107059 = V181593. assign V978667 = V315159 - 1. assign V282169 = V364195 - 1. assign V427571 = V175036. assign V492616 = V097693 - 1. assign V492665 = V530505 - 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):\nV307906 = 0;\n\nFrom these direct assignment(s), we have: \nV037472 = V307906 + 1 = 0 + 1 =1;\nNo other variables can be derived from V037472;\nNo other variables can be derived from V307906;\n\nNow we have done all the calculations. Derived variables are:\nV307906 = 0;\nV037472 = 1;\n\nNow we have finished this problem. ANSWER:\nV037472\n", "role": "assistant" } ]

[ "V848579", "V914744" ]

[ { "content": "<context>\nassign V105490 = V014519 + 1. assign V986198 = V475605 - 1. assign V975498 = V222871 + 1. assign V281243 = V006903. assign V322767 = V866670 + 1. assign V241283 = V109235. assign V512574 = V260990 + 1. assign V834068 = V322767 + 1. assign V084988 = V977253. assign V936627 = V342987. assign V585221 = V012395. assign V197500 = V286377. assign V406949 = V152036 + 1. assign V078003 = V535629 + 1. assign V390904 = V310063 - 1. assign V222871 = V056035. assign V372659 = V105490 + 1. assign V015274 = V260967 + 1. assign V538262 = V577861 - 1. assign V183259 = V408530. assign V892242 = V093978 + 1. assign V535629 = V899877 - 1. assign V013508 = V980828. assign V914570 = V056035. assign V984580 = V466678 - 1. assign V966470 = V286433 - 1. assign V378709 = V985816 + 1. assign V453523 = V916073. assign V136932 = V857599 - 1. assign V463935 = V093978 - 1. assign V264609 = V321225 - 1. assign V384902 = V968370. assign V474480 = V784221 + 1. assign V672259 = V208268. assign V286433 = V466678. assign V220007 = V788804 - 1. assign V550309 = V613096. assign V968370 = V260967. assign V255688 = V336177. assign V970023 = V322767. assign V012395 = V788804. assign V671333 = V265759 - 1. assign V152036 = V056035 - 1. assign V298745 = V195602 + 1. assign V008486 = V408530 + 1. assign V699998 = V012395 - 1. assign V538795 = V123675 - 1. assign V416348 = V672259 - 1. assign V602756 = V840790. assign V061633 = V378709 + 1. assign V774357 = V725880 - 1. assign V260967 = V195602 - 1. assign V529846 = V891338 + 1. assign V848579 = 0. assign V082429 = V784221 + 1. assign V514543 = V006903 + 1. assign V444140 = V729677 - 1. assign V878899 = V040990 - 1. assign V520001 = V260967 + 1. assign V840790 = V788804. assign V475605 = V109235 - 1. assign V330965 = V466678 + 1. assign V591534 = V463935. assign V470878 = V082429 - 1. assign V543197 = V012395 - 1. assign V111282 = V281243. assign V049466 = V984580. assign V342987 = V105490 + 1. assign V014519 = V788804 + 1. assign V969356 = V408530 + 1. assign V980828 = V788804. assign V361921 = V220007 + 1. assign V052621 = V798139. assign V784221 = V195602 + 1. assign V985816 = V056035 - 1. assign V195438 = V970023 - 1. assign V645357 = V208268 + 1. assign V899877 = V260967. assign V376478 = V152036. assign V885456 = V286377. assign V683000 = V520001 + 1. assign V766044 = V453523. assign V040990 = V859942. assign V747445 = V914570 - 1. assign V592115 = V788804 + 1. assign V434224 = V641576 - 1. assign V725321 = V265759 - 1. assign V682534 = V968370. assign V851006 = V466678 + 1. assign V984437 = V105490 - 1. assign V464455 = V984437 - 1. assign V277657 = V788804. assign V109235 = V093978 - 1. assign V663952 = V977253 + 1. assign V687132 = V336177 + 1. assign V131771 = V585221 - 1. assign V638649 = V470878 - 1. assign V641576 = V585221 + 1. assign V598169 = V061633 + 1. assign V965312 = V453523 - 1. assign V121231 = V052621. assign V339340 = V342987. assign V152015 = V322767 + 1. assign V260990 = V408530 - 1. assign V625065 = V195438 + 1. assign V174291 = V195438 - 1. assign V394042 = V725880 + 1. assign V195602 = V006903 - 1. assign V601653 = V012395 + 1. assign V456552 = V784221 - 1. assign V983333 = V866670 - 1. assign V345151 = V183259 - 1. assign V914744 = V848579. assign V859942 = V985816. assign V006903 = V093978 - 1. assign V303110 = V969356 - 1. assign V036349 = V415329. assign V476825 = V788804 - 1. assign V866670 = V663749. assign V613096 = V014519 - 1. assign V886166 = V260990 + 1. assign V007029 = V969356. assign V798139 = V788804 - 1. assign V208268 = V682534. assign V441978 = V339340. assign V608946 = V208268 + 1. assign V056035 = V336177 + 1. assign V310063 = V601653 - 1. assign V049839 = V840790. assign V503214 = V601653 - 1. assign V830589 = V361921 - 1. assign V548821 = V866670 - 1. assign V577861 = V206000 + 1. assign V286377 = V372659 + 1. assign V250647 = V983333 + 1. assign V412368 = V591534 - 1. assign V040560 = V899877 - 1. assign V408530 = V014519 + 1. assign V365467 = V977065. assign V784331 = V577861 + 1. assign V193228 = V839619. assign V916268 = V281243. assign V072950 = V174291 - 1. assign V977065 = V788804 + 1. assign V663749 = V012395. assign V332225 = V784221. assign V693544 = V463935. assign V185738 = V206000 + 1. assign V839619 = V663749 + 1. assign V089031 = V195438 - 1. assign V207267 = V725880 - 1. assign V729677 = V851006. assign V663273 = V577861 - 1. assign V526761 = V444140. assign V265759 = V260967 + 1. assign V916073 = V784221. assign V977253 = V725880 + 1. assign V725880 = V195602 + 1. assign V683426 = V093978. assign V891338 = V784331. assign V321225 = V364471 - 1. assign V788804 = V415329. assign V123675 = V310063 - 1. assign V093978 = V220007 - 1. assign V845052 = V260967. assign V466678 = V014519 + 1. assign V336177 = V260967 - 1. assign V364471 = V456552. assign V512650 = V345151 - 1. assign V206000 = V195602. assign V857599 = V012395. assign V594610 = V682534 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V105490 = V014519 + 1. assign V986198 = V475605 - 1. assign V975498 = V222871 + 1. assign V281243 = V006903. assign V322767 = V866670 + 1. assign V241283 = V109235. assign V512574 = V260990 + 1. assign V834068 = V322767 + 1. assign V084988 = V977253. assign V936627 = V342987. assign V585221 = V012395. assign V197500 = V286377. assign V406949 = V152036 + 1. assign V078003 = V535629 + 1. assign V390904 = V310063 - 1. assign V222871 = V056035. assign V372659 = V105490 + 1. assign V015274 = V260967 + 1. assign V538262 = V577861 - 1. assign V183259 = V408530. assign V892242 = V093978 + 1. assign V535629 = V899877 - 1. assign V013508 = V980828. assign V914570 = V056035. assign V984580 = V466678 - 1. assign V966470 = V286433 - 1. assign V378709 = V985816 + 1. assign V453523 = V916073. assign V136932 = V857599 - 1. assign V463935 = V093978 - 1. assign V264609 = V321225 - 1. assign V384902 = V968370. assign V474480 = V784221 + 1. assign V672259 = V208268. assign V286433 = V466678. assign V220007 = V788804 - 1. assign V550309 = V613096. assign V968370 = V260967. assign V255688 = V336177. assign V970023 = V322767. assign V012395 = V788804. assign V671333 = V265759 - 1. assign V152036 = V056035 - 1. assign V298745 = V195602 + 1. assign V008486 = V408530 + 1. assign V699998 = V012395 - 1. assign V538795 = V123675 - 1. assign V416348 = V672259 - 1. assign V602756 = V840790. assign V061633 = V378709 + 1. assign V774357 = V725880 - 1. assign V260967 = V195602 - 1. assign V529846 = V891338 + 1. assign V848579 = 0. assign V082429 = V784221 + 1. assign V514543 = V006903 + 1. assign V444140 = V729677 - 1. assign V878899 = V040990 - 1. assign V520001 = V260967 + 1. assign V840790 = V788804. assign V475605 = V109235 - 1. assign V330965 = V466678 + 1. assign V591534 = V463935. assign V470878 = V082429 - 1. assign V543197 = V012395 - 1. assign V111282 = V281243. assign V049466 = V984580. assign V342987 = V105490 + 1. assign V014519 = V788804 + 1. assign V969356 = V408530 + 1. assign V980828 = V788804. assign V361921 = V220007 + 1. assign V052621 = V798139. assign V784221 = V195602 + 1. assign V985816 = V056035 - 1. assign V195438 = V970023 - 1. assign V645357 = V208268 + 1. assign V899877 = V260967. assign V376478 = V152036. assign V885456 = V286377. assign V683000 = V520001 + 1. assign V766044 = V453523. assign V040990 = V859942. assign V747445 = V914570 - 1. assign V592115 = V788804 + 1. assign V434224 = V641576 - 1. assign V725321 = V265759 - 1. assign V682534 = V968370. assign V851006 = V466678 + 1. assign V984437 = V105490 - 1. assign V464455 = V984437 - 1. assign V277657 = V788804. assign V109235 = V093978 - 1. assign V663952 = V977253 + 1. assign V687132 = V336177 + 1. assign V131771 = V585221 - 1. assign V638649 = V470878 - 1. assign V641576 = V585221 + 1. assign V598169 = V061633 + 1. assign V965312 = V453523 - 1. assign V121231 = V052621. assign V339340 = V342987. assign V152015 = V322767 + 1. assign V260990 = V408530 - 1. assign V625065 = V195438 + 1. assign V174291 = V195438 - 1. assign V394042 = V725880 + 1. assign V195602 = V006903 - 1. assign V601653 = V012395 + 1. assign V456552 = V784221 - 1. assign V983333 = V866670 - 1. assign V345151 = V183259 - 1. assign V914744 = V848579. assign V859942 = V985816. assign V006903 = V093978 - 1. assign V303110 = V969356 - 1. assign V036349 = V415329. assign V476825 = V788804 - 1. assign V866670 = V663749. assign V613096 = V014519 - 1. assign V886166 = V260990 + 1. assign V007029 = V969356. assign V798139 = V788804 - 1. assign V208268 = V682534. assign V441978 = V339340. assign V608946 = V208268 + 1. assign V056035 = V336177 + 1. assign V310063 = V601653 - 1. assign V049839 = V840790. assign V503214 = V601653 - 1. assign V830589 = V361921 - 1. assign V548821 = V866670 - 1. assign V577861 = V206000 + 1. assign V286377 = V372659 + 1. assign V250647 = V983333 + 1. assign V412368 = V591534 - 1. assign V040560 = V899877 - 1. assign V408530 = V014519 + 1. assign V365467 = V977065. assign V784331 = V577861 + 1. assign V193228 = V839619. assign V916268 = V281243. assign V072950 = V174291 - 1. assign V977065 = V788804 + 1. assign V663749 = V012395. assign V332225 = V784221. assign V693544 = V463935. assign V185738 = V206000 + 1. assign V839619 = V663749 + 1. assign V089031 = V195438 - 1. assign V207267 = V725880 - 1. assign V729677 = V851006. assign V663273 = V577861 - 1. assign V526761 = V444140. assign V265759 = V260967 + 1. assign V916073 = V784221. assign V977253 = V725880 + 1. assign V725880 = V195602 + 1. assign V683426 = V093978. assign V891338 = V784331. assign V321225 = V364471 - 1. assign V788804 = V415329. assign V123675 = V310063 - 1. assign V093978 = V220007 - 1. assign V845052 = V260967. assign V466678 = V014519 + 1. assign V336177 = V260967 - 1. assign V364471 = V456552. assign V512650 = V345151 - 1. assign V206000 = V195602. assign V857599 = V012395. assign V594610 = V682534 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV848579 = 0;\n\nFrom these direct assignment(s), we have: \nV914744 = V848579 = 0;\nNo other variables can be derived from V914744;\nNo other variables can be derived from V848579;\n\nNow we have done all the calculations. Derived variables are:\nV848579 = 0;\nV914744 = 0;\n\nNow we have finished this problem. ANSWER:\nV848579, V914744\n", "role": "assistant" } ]

[ "V702068" ]

[ { "content": "<context>\nassign V983540 = V431430 - 1. assign V879200 = V796265 - 1. assign V064031 = V784926. assign V413116 = V376099 + 1. assign V021977 = V834278 + 1. assign V010568 = V659772. assign V808029 = V371476 + 1. assign V412164 = V771098 - 1. assign V086829 = V193684. assign V371476 = V666336 + 1. assign V228069 = V129130. assign V385678 = V398865 + 1. assign V759106 = V206511. assign V865540 = V198586 + 1. assign V814876 = V669187 - 1. assign V524827 = V086829. assign V453137 = V427547. assign V431528 = V940490. assign V743831 = V049954 - 1. assign V404960 = V652978 - 1. assign V806104 = V566742 + 1. assign V234515 = V782204. assign V343118 = V010568 - 1. assign V902531 = V368683 - 1. assign V900274 = V021977. assign V099059 = V878665 + 1. assign V659772 = V373989 - 1. assign V198586 = V983540 - 1. assign V016225 = V129130. assign V572749 = V659772 - 1. assign V697362 = V893074 - 1. assign V940490 = V094170 - 1. assign V704510 = V861164 + 1. assign V897874 = V179968. assign V129130 = V652978 + 1. assign V232866 = V014438 - 1. assign V080438 = V941693 + 1. assign V004425 = V893074 - 1. assign V401672 = V348781 - 1. assign V566742 = V206511. assign V900241 = V771098 - 1. assign V990762 = V206511. assign V685140 = V376099. assign V652978 = V206511 - 1. assign V935781 = V157156. assign V365645 = V373989 - 1. assign V278504 = V759106. assign V992707 = V572749. assign V416630 = V390593 + 1. assign V348781 = V206511. assign V784926 = V601836 - 1. assign V427547 = V112626. assign V796265 = V889872 - 1. assign V373989 = V348781 - 1. assign V326840 = V704150. assign V818075 = V917674 - 1. assign V786276 = V566742 - 1. assign V011857 = V206511 - 1. assign V545463 = V431430 - 1. assign V145918 = V334754 + 1. assign V517469 = V416630 + 1. assign V776522 = V398865. assign V991753 = V734735. assign V103103 = V771098 - 1. assign V917674 = V129130 - 1. assign V907707 = V561839 + 1. assign V379911 = V234515 + 1. assign V782204 = V541077. assign V734735 = V541077 + 1. assign V588834 = V157156. assign V112626 = V771740 + 1. assign V193684 = V669187. assign V704150 = V704510 + 1. assign V376099 = V566742 + 1. assign V969689 = V376099 - 1. assign V014438 = V699598. assign V905340 = V517469. assign V541077 = V983540 + 1. assign V893074 = V376099. assign V584606 = V348781 + 1. assign V561839 = V969689. assign V153835 = V209191 + 1. assign V828078 = V917674 - 1. assign V717674 = V209191 - 1. assign V728225 = V782204. assign V834278 = V941693 + 1. assign V559784 = V206511 + 1. assign V030115 = V334754 + 1. assign V009545 = V159083. assign V984827 = V685140 + 1. assign V268016 = V897874. assign V347241 = V253534. assign V669187 = V209191 + 1. assign V878337 = V398865 + 1. assign V141377 = V638389. assign V517504 = V473097 - 1. assign V094170 = V654589 + 1. assign V934390 = V049954 - 1. assign V225572 = V010568 + 1. assign V591014 = V814876 - 1. assign V431430 = V566742. assign V159083 = V806104 + 1. assign V097958 = V685140 + 1. assign V941693 = V654589 + 1. assign V663591 = V900241 - 1. assign V322156 = V897874 - 1. assign V225401 = V865540 - 1. assign V601836 = V193684 - 1. assign V905405 = V129130. assign V889872 = V348781. assign V715320 = V559784 - 1. assign V912449 = V889872 - 1. assign V473097 = V348781 - 1. assign V746007 = V209191 + 1. assign V029025 = V889872. assign V334754 = V893074 + 1. assign V164057 = V225572 + 1. assign V390003 = V806104. assign V803684 = V390593. assign V991175 = V016225 + 1. assign V878665 = V398865 - 1. assign V130888 = V654589. assign V117134 = V796265. assign V819784 = V659772 - 1. assign V635838 = V360701 - 1. assign V310340 = V878337 - 1. assign V390593 = V094170. assign V157156 = V179968 - 1. assign V295978 = V861164 + 1. assign V026673 = V559784. assign V188035 = V879200. assign V321938 = V566742 + 1. assign V521000 = V431430 + 1. assign V771098 = V390593 + 1. assign V148379 = V935781. assign V850751 = V157156 + 1. assign V887545 = V164057. assign V654589 = V206511. assign V398865 = V559784. assign V553481 = V652978 - 1. assign V666336 = V398865 + 1. assign V252611 = V016225 + 1. assign V281574 = V153835 + 1. assign V702068 = 9. assign V758761 = V771740 - 1. assign V401988 = V368683. assign V759123 = V310340 + 1. assign V638389 = V129130 - 1. assign V949398 = V663591. assign V241176 = V704510 - 1. assign V418949 = V401988. assign V861164 = V814876 + 1. assign V179968 = V654589. assign V463984 = V401672 - 1. assign V518637 = V902284 + 1. assign V049954 = V669187. assign V699598 = V016225 + 1. assign V253534 = V659772. assign V902284 = V401988 + 1. assign V360701 = V759106 + 1. assign V130422 = V702068 + 1. assign V810552 = V112626 + 1. assign V209191 = V951618. assign V368683 = V559784 + 1. assign V702409 = V814876 + 1. assign V771740 = V129130 + 1. assign V616927 = V347241 + 1. assign V152267 = V371476 + 1. assign V235092 = V099059 + 1. assign V549155 = V431528 - 1. assign V951618 = V654589. assign V869897 = V473097 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V983540 = V431430 - 1. assign V879200 = V796265 - 1. assign V064031 = V784926. assign V413116 = V376099 + 1. assign V021977 = V834278 + 1. assign V010568 = V659772. assign V808029 = V371476 + 1. assign V412164 = V771098 - 1. assign V086829 = V193684. assign V371476 = V666336 + 1. assign V228069 = V129130. assign V385678 = V398865 + 1. assign V759106 = V206511. assign V865540 = V198586 + 1. assign V814876 = V669187 - 1. assign V524827 = V086829. assign V453137 = V427547. assign V431528 = V940490. assign V743831 = V049954 - 1. assign V404960 = V652978 - 1. assign V806104 = V566742 + 1. assign V234515 = V782204. assign V343118 = V010568 - 1. assign V902531 = V368683 - 1. assign V900274 = V021977. assign V099059 = V878665 + 1. assign V659772 = V373989 - 1. assign V198586 = V983540 - 1. assign V016225 = V129130. assign V572749 = V659772 - 1. assign V697362 = V893074 - 1. assign V940490 = V094170 - 1. assign V704510 = V861164 + 1. assign V897874 = V179968. assign V129130 = V652978 + 1. assign V232866 = V014438 - 1. assign V080438 = V941693 + 1. assign V004425 = V893074 - 1. assign V401672 = V348781 - 1. assign V566742 = V206511. assign V900241 = V771098 - 1. assign V990762 = V206511. assign V685140 = V376099. assign V652978 = V206511 - 1. assign V935781 = V157156. assign V365645 = V373989 - 1. assign V278504 = V759106. assign V992707 = V572749. assign V416630 = V390593 + 1. assign V348781 = V206511. assign V784926 = V601836 - 1. assign V427547 = V112626. assign V796265 = V889872 - 1. assign V373989 = V348781 - 1. assign V326840 = V704150. assign V818075 = V917674 - 1. assign V786276 = V566742 - 1. assign V011857 = V206511 - 1. assign V545463 = V431430 - 1. assign V145918 = V334754 + 1. assign V517469 = V416630 + 1. assign V776522 = V398865. assign V991753 = V734735. assign V103103 = V771098 - 1. assign V917674 = V129130 - 1. assign V907707 = V561839 + 1. assign V379911 = V234515 + 1. assign V782204 = V541077. assign V734735 = V541077 + 1. assign V588834 = V157156. assign V112626 = V771740 + 1. assign V193684 = V669187. assign V704150 = V704510 + 1. assign V376099 = V566742 + 1. assign V969689 = V376099 - 1. assign V014438 = V699598. assign V905340 = V517469. assign V541077 = V983540 + 1. assign V893074 = V376099. assign V584606 = V348781 + 1. assign V561839 = V969689. assign V153835 = V209191 + 1. assign V828078 = V917674 - 1. assign V717674 = V209191 - 1. assign V728225 = V782204. assign V834278 = V941693 + 1. assign V559784 = V206511 + 1. assign V030115 = V334754 + 1. assign V009545 = V159083. assign V984827 = V685140 + 1. assign V268016 = V897874. assign V347241 = V253534. assign V669187 = V209191 + 1. assign V878337 = V398865 + 1. assign V141377 = V638389. assign V517504 = V473097 - 1. assign V094170 = V654589 + 1. assign V934390 = V049954 - 1. assign V225572 = V010568 + 1. assign V591014 = V814876 - 1. assign V431430 = V566742. assign V159083 = V806104 + 1. assign V097958 = V685140 + 1. assign V941693 = V654589 + 1. assign V663591 = V900241 - 1. assign V322156 = V897874 - 1. assign V225401 = V865540 - 1. assign V601836 = V193684 - 1. assign V905405 = V129130. assign V889872 = V348781. assign V715320 = V559784 - 1. assign V912449 = V889872 - 1. assign V473097 = V348781 - 1. assign V746007 = V209191 + 1. assign V029025 = V889872. assign V334754 = V893074 + 1. assign V164057 = V225572 + 1. assign V390003 = V806104. assign V803684 = V390593. assign V991175 = V016225 + 1. assign V878665 = V398865 - 1. assign V130888 = V654589. assign V117134 = V796265. assign V819784 = V659772 - 1. assign V635838 = V360701 - 1. assign V310340 = V878337 - 1. assign V390593 = V094170. assign V157156 = V179968 - 1. assign V295978 = V861164 + 1. assign V026673 = V559784. assign V188035 = V879200. assign V321938 = V566742 + 1. assign V521000 = V431430 + 1. assign V771098 = V390593 + 1. assign V148379 = V935781. assign V850751 = V157156 + 1. assign V887545 = V164057. assign V654589 = V206511. assign V398865 = V559784. assign V553481 = V652978 - 1. assign V666336 = V398865 + 1. assign V252611 = V016225 + 1. assign V281574 = V153835 + 1. assign V702068 = 9. assign V758761 = V771740 - 1. assign V401988 = V368683. assign V759123 = V310340 + 1. assign V638389 = V129130 - 1. assign V949398 = V663591. assign V241176 = V704510 - 1. assign V418949 = V401988. assign V861164 = V814876 + 1. assign V179968 = V654589. assign V463984 = V401672 - 1. assign V518637 = V902284 + 1. assign V049954 = V669187. assign V699598 = V016225 + 1. assign V253534 = V659772. assign V902284 = V401988 + 1. assign V360701 = V759106 + 1. assign V130422 = V702068 + 1. assign V810552 = V112626 + 1. assign V209191 = V951618. assign V368683 = V559784 + 1. assign V702409 = V814876 + 1. assign V771740 = V129130 + 1. assign V616927 = V347241 + 1. assign V152267 = V371476 + 1. assign V235092 = V099059 + 1. assign V549155 = V431528 - 1. assign V951618 = V654589. assign V869897 = V473097 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV702068 = 9;\n\nFrom these direct assignment(s), we have: \nV130422 = V702068 + 1 = 9 + 1 =10;\nNo other variables can be derived from V130422;\nNo other variables can be derived from V702068;\n\nNow we have done all the calculations. Derived variables are:\nV702068 = 9;\nV130422 = 10;\n\nNow we have finished this problem. ANSWER:\nV702068\n", "role": "assistant" } ]

[ "V723170", "V815441" ]

[ { "content": "<context>\nassign V175076 = V717309 - 1. assign V024975 = V199278 - 1. assign V282827 = V425108 - 1. assign V426035 = V589792 + 1. assign V833950 = V369265 - 1. assign V853960 = V445956. assign V425108 = V229874 + 1. assign V047248 = V766727 - 1. assign V676499 = V233642 - 1. assign V580087 = V766798. assign V085172 = V175113 + 1. assign V956748 = V445956 + 1. assign V387320 = V141827 - 1. assign V589792 = V038611 + 1. assign V646407 = V014527. assign V077242 = V106454. assign V723170 = 9. assign V533869 = V300460 + 1. assign V752400 = V523931 - 1. assign V263682 = V300460 + 1. assign V520636 = V268068. assign V328766 = V766798. assign V631125 = V781462. assign V865885 = V947082 + 1. assign V766798 = V614042. assign V292648 = V920804 - 1. assign V081969 = V872517. assign V871700 = V220947. assign V171874 = V835871 + 1. assign V268068 = V168918. assign V733712 = V833950 - 1. assign V792180 = V257141 + 1. assign V950527 = V221368. assign V369419 = V752913 + 1. assign V758857 = V081337. assign V591913 = V175113. assign V448301 = V951423 - 1. assign V683571 = V024975 - 1. assign V041042 = V591913 + 1. assign V856199 = V221368 - 1. assign V257141 = V256825 + 1. assign V221368 = V175113. assign V920804 = V758857 - 1. assign V283708 = V750297 + 1. assign V168616 = V717309 - 1. assign V256825 = V591913 + 1. assign V707531 = V044464 - 1. assign V867962 = V141827 - 1. assign V750297 = V199278 + 1. assign V175113 = V779548 + 1. assign V984358 = V263682. assign V367510 = V769441. assign V738719 = V798644 + 1. assign V007503 = V930864 + 1. assign V045379 = V300460 + 1. assign V458224 = V281499 - 1. assign V805902 = V942568 - 1. assign V061863 = V793997 - 1. assign V788574 = V614042 - 1. assign V649572 = V085172 + 1. assign V110353 = V615205. assign V617339 = V175113 - 1. assign V556705 = V589470. assign V615205 = V263682. assign V743711 = V614042. assign V649963 = V006303. assign V165106 = V263682 + 1. assign V393407 = V014527 - 1. assign V942568 = V793997 - 1. assign V668089 = V942568. assign V793997 = V263682 + 1. assign V064279 = V221368. assign V948806 = V294473 - 1. assign V668272 = V085172. assign V141827 = V523931 + 1. assign V616203 = V779548 - 1. assign V785588 = V920804 + 1. assign V872517 = V226166. assign V432100 = V334861 + 1. assign V044464 = V311871. assign V687525 = V168918 - 1. assign V589470 = V199278 - 1. assign V122759 = V793997 + 1. assign V516946 = V779548. assign V098571 = V141827. assign V481003 = V766727 - 1. assign V955305 = V171874. assign V930864 = V300460 + 1. assign V769441 = V265787. assign V779548 = V300460 + 1. assign V322581 = V779548 + 1. assign V338136 = V591913 + 1. assign V697439 = V426035. assign V006303 = V589792 + 1. assign V014527 = V523931 + 1. assign V294473 = V038611 - 1. assign V263695 = V614042 - 1. assign V233642 = V471631. assign V424073 = V300460 + 1. assign V343875 = V536157 + 1. assign V782815 = V136637 + 1. assign V653646 = V944136 + 1. assign V119413 = V614042 + 1. assign V309929 = V098571 - 1. assign V584408 = V589792 - 1. assign V679801 = V965828 - 1. assign V203327 = V410605 - 1. assign V038611 = V930864 + 1. assign V523931 = V038611. assign V777456 = V097731. assign V871448 = V024975 + 1. assign V445956 = V951423. assign V334861 = V867962 - 1. assign V781462 = V616203 - 1. assign V097731 = V781462 + 1. assign V717309 = V165106 + 1. assign V081337 = V263682 - 1. assign V497732 = V871448. assign V951381 = V947082. assign V263659 = V920804 + 1. assign V709565 = V584408. assign V311871 = V175113 + 1. assign V477206 = V523931. assign V471631 = V141827. assign V226166 = V085172. assign V635305 = V168918 + 1. assign V220947 = V683571 - 1. assign V903895 = V683571. assign V499401 = V614042 + 1. assign V992604 = V226166. assign V055801 = V956748. assign V229874 = V294473 - 1. assign V666661 = V793997 - 1. assign V806115 = V263682. assign V265787 = V717309 - 1. assign V614042 = V168918. assign V230208 = V268068 + 1. assign V106454 = V060997 + 1. assign V789430 = V779548 + 1. assign V220741 = V292648 - 1. assign V918055 = V783493. assign V369271 = V950527 - 1. assign V199278 = V701497 - 1. assign V599336 = V668089 - 1. assign V410605 = V077242 + 1. assign V798644 = V265787. assign V752913 = V458224. assign V281499 = V038611. assign V965828 = V520636. assign V944136 = V942568 - 1. assign V640416 = V806115 - 1. assign V168918 = V779548 - 1. assign V783493 = V171874. assign V766727 = V471631 + 1. assign V951423 = V781462 - 1. assign V648204 = V785588 + 1. assign V706809 = V616203 - 1. assign V947082 = V338136. assign V536157 = V175113. assign V928595 = V951381 + 1. assign V369265 = V766798 + 1. assign V285917 = V640416 - 1. assign V060997 = V950527 + 1. assign V136637 = V171874. assign V402866 = V556705. assign V245215 = V867962 - 1. assign V405382 = V263682. assign V701497 = V614042 - 1. assign V683105 = V283708 + 1. assign V394144 = V285917 + 1. assign V815441 = V723170. assign V835871 = V338136 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V175076 = V717309 - 1. assign V024975 = V199278 - 1. assign V282827 = V425108 - 1. assign V426035 = V589792 + 1. assign V833950 = V369265 - 1. assign V853960 = V445956. assign V425108 = V229874 + 1. assign V047248 = V766727 - 1. assign V676499 = V233642 - 1. assign V580087 = V766798. assign V085172 = V175113 + 1. assign V956748 = V445956 + 1. assign V387320 = V141827 - 1. assign V589792 = V038611 + 1. assign V646407 = V014527. assign V077242 = V106454. assign V723170 = 9. assign V533869 = V300460 + 1. assign V752400 = V523931 - 1. assign V263682 = V300460 + 1. assign V520636 = V268068. assign V328766 = V766798. assign V631125 = V781462. assign V865885 = V947082 + 1. assign V766798 = V614042. assign V292648 = V920804 - 1. assign V081969 = V872517. assign V871700 = V220947. assign V171874 = V835871 + 1. assign V268068 = V168918. assign V733712 = V833950 - 1. assign V792180 = V257141 + 1. assign V950527 = V221368. assign V369419 = V752913 + 1. assign V758857 = V081337. assign V591913 = V175113. assign V448301 = V951423 - 1. assign V683571 = V024975 - 1. assign V041042 = V591913 + 1. assign V856199 = V221368 - 1. assign V257141 = V256825 + 1. assign V221368 = V175113. assign V920804 = V758857 - 1. assign V283708 = V750297 + 1. assign V168616 = V717309 - 1. assign V256825 = V591913 + 1. assign V707531 = V044464 - 1. assign V867962 = V141827 - 1. assign V750297 = V199278 + 1. assign V175113 = V779548 + 1. assign V984358 = V263682. assign V367510 = V769441. assign V738719 = V798644 + 1. assign V007503 = V930864 + 1. assign V045379 = V300460 + 1. assign V458224 = V281499 - 1. assign V805902 = V942568 - 1. assign V061863 = V793997 - 1. assign V788574 = V614042 - 1. assign V649572 = V085172 + 1. assign V110353 = V615205. assign V617339 = V175113 - 1. assign V556705 = V589470. assign V615205 = V263682. assign V743711 = V614042. assign V649963 = V006303. assign V165106 = V263682 + 1. assign V393407 = V014527 - 1. assign V942568 = V793997 - 1. assign V668089 = V942568. assign V793997 = V263682 + 1. assign V064279 = V221368. assign V948806 = V294473 - 1. assign V668272 = V085172. assign V141827 = V523931 + 1. assign V616203 = V779548 - 1. assign V785588 = V920804 + 1. assign V872517 = V226166. assign V432100 = V334861 + 1. assign V044464 = V311871. assign V687525 = V168918 - 1. assign V589470 = V199278 - 1. assign V122759 = V793997 + 1. assign V516946 = V779548. assign V098571 = V141827. assign V481003 = V766727 - 1. assign V955305 = V171874. assign V930864 = V300460 + 1. assign V769441 = V265787. assign V779548 = V300460 + 1. assign V322581 = V779548 + 1. assign V338136 = V591913 + 1. assign V697439 = V426035. assign V006303 = V589792 + 1. assign V014527 = V523931 + 1. assign V294473 = V038611 - 1. assign V263695 = V614042 - 1. assign V233642 = V471631. assign V424073 = V300460 + 1. assign V343875 = V536157 + 1. assign V782815 = V136637 + 1. assign V653646 = V944136 + 1. assign V119413 = V614042 + 1. assign V309929 = V098571 - 1. assign V584408 = V589792 - 1. assign V679801 = V965828 - 1. assign V203327 = V410605 - 1. assign V038611 = V930864 + 1. assign V523931 = V038611. assign V777456 = V097731. assign V871448 = V024975 + 1. assign V445956 = V951423. assign V334861 = V867962 - 1. assign V781462 = V616203 - 1. assign V097731 = V781462 + 1. assign V717309 = V165106 + 1. assign V081337 = V263682 - 1. assign V497732 = V871448. assign V951381 = V947082. assign V263659 = V920804 + 1. assign V709565 = V584408. assign V311871 = V175113 + 1. assign V477206 = V523931. assign V471631 = V141827. assign V226166 = V085172. assign V635305 = V168918 + 1. assign V220947 = V683571 - 1. assign V903895 = V683571. assign V499401 = V614042 + 1. assign V992604 = V226166. assign V055801 = V956748. assign V229874 = V294473 - 1. assign V666661 = V793997 - 1. assign V806115 = V263682. assign V265787 = V717309 - 1. assign V614042 = V168918. assign V230208 = V268068 + 1. assign V106454 = V060997 + 1. assign V789430 = V779548 + 1. assign V220741 = V292648 - 1. assign V918055 = V783493. assign V369271 = V950527 - 1. assign V199278 = V701497 - 1. assign V599336 = V668089 - 1. assign V410605 = V077242 + 1. assign V798644 = V265787. assign V752913 = V458224. assign V281499 = V038611. assign V965828 = V520636. assign V944136 = V942568 - 1. assign V640416 = V806115 - 1. assign V168918 = V779548 - 1. assign V783493 = V171874. assign V766727 = V471631 + 1. assign V951423 = V781462 - 1. assign V648204 = V785588 + 1. assign V706809 = V616203 - 1. assign V947082 = V338136. assign V536157 = V175113. assign V928595 = V951381 + 1. assign V369265 = V766798 + 1. assign V285917 = V640416 - 1. assign V060997 = V950527 + 1. assign V136637 = V171874. assign V402866 = V556705. assign V245215 = V867962 - 1. assign V405382 = V263682. assign V701497 = V614042 - 1. assign V683105 = V283708 + 1. assign V394144 = V285917 + 1. assign V815441 = V723170. assign V835871 = V338136 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV723170 = 9;\n\nFrom these direct assignment(s), we have: \nV815441 = V723170 = 9;\nNo other variables can be derived from V815441;\nNo other variables can be derived from V723170;\n\nNow we have done all the calculations. Derived variables are:\nV723170 = 9;\nV815441 = 9;\n\nNow we have finished this problem. ANSWER:\nV723170, V815441\n", "role": "assistant" } ]

[ "V295515" ]

[ { "content": "<context>\nassign V654718 = V590770 + 1. assign V039787 = V008428 + 1. assign V151786 = V025932 - 1. assign V309114 = V017820. assign V744537 = V434004. assign V025932 = V903484 - 1. assign V343179 = V690956 - 1. assign V757515 = V437562. assign V165775 = V387843 + 1. assign V822438 = V813732. assign V873556 = V309114 - 1. assign V386939 = V122525 + 1. assign V495617 = V437562. assign V804588 = V036738 - 1. assign V881206 = V728292. assign V201039 = V935833 - 1. assign V202879 = V147158 - 1. assign V176651 = V537106 - 1. assign V728893 = V640823 + 1. assign V524054 = V903484 + 1. assign V289922 = V165775. assign V506941 = V796744 - 1. assign V477230 = V784298 - 1. assign V506502 = V289838 + 1. assign V761549 = V692352. assign V467315 = V951912 - 1. assign V695070 = V195982. assign V932625 = V784298. assign V354380 = V867746 + 1. assign V461335 = V757515 + 1. assign V891075 = V374629 + 1. assign V390343 = V813732 + 1. assign V099526 = V374629 + 1. assign V099220 = V008428 + 1. assign V580785 = V260438. assign V017820 = V374629. assign V583136 = V208998 - 1. assign V832151 = V922700 + 1. assign V993619 = V782727 - 1. assign V883113 = V017820 + 1. assign V813732 = V830068. assign V036738 = V830068 - 1. assign V988114 = V202879 + 1. assign V292734 = V017820 - 1. assign V867746 = V830068 + 1. assign V358987 = V354380 + 1. assign V564054 = V800852 - 1. assign V692352 = V025932 + 1. assign V147158 = V832151 + 1. assign V348954 = V061886 - 1. assign V987743 = V695070. assign V055890 = V677188 - 1. assign V122525 = V461335 + 1. assign V640823 = V830068. assign V384564 = V243954. assign V386796 = V040235 + 1. assign V225035 = V017820 + 1. assign V105332 = V096642 + 1. assign V800852 = V677165. assign V783176 = V387843 - 1. assign V966831 = V909216 - 1. assign V096642 = V387843. assign V211482 = V796744 + 1. assign V350792 = V211482 - 1. assign V242274 = V580785 - 1. assign V922700 = V534064 + 1. assign V828641 = V040235 - 1. assign V320305 = V747131 + 1. assign V407259 = V347513 + 1. assign V000245 = V069783. assign V534172 = V437562. assign V260438 = V846545 - 1. assign V728292 = V783176 + 1. assign V590770 = V289922 - 1. assign V909216 = V387843. assign V231858 = V387843 + 1. assign V437562 = V944916 - 1. assign V069783 = V677165 + 1. assign V442602 = V096642 + 1. assign V167112 = V126720. assign V289838 = V835251 + 1. assign V663826 = V195982 + 1. assign V295515 = V833425 - 1. assign V439856 = V935833 - 1. assign V593935 = V694656. assign V833425 = 10. assign V835251 = V783176 - 1. assign V782727 = V147158 - 1. assign V796602 = V443603. assign V424867 = V015503. assign V226453 = V944916. assign V944916 = V534064 - 1. assign V658228 = V812319. assign V590710 = V891075. assign V008428 = V944916 + 1. assign V458881 = V677188. assign V836856 = V796602. assign V830068 = V165775 - 1. assign V673131 = V832151 - 1. assign V132321 = V903484 - 1. assign V397770 = V069783. assign V889730 = V671360 - 1. assign V350079 = V813732 + 1. assign V609038 = V695070. assign V015503 = V690956 - 1. assign V191514 = V315231 + 1. assign V920802 = V099220 - 1. assign V243954 = V677165 + 1. assign V126720 = V787824 + 1. assign V739009 = V783176. assign V559564 = V444163 + 1. assign V728518 = V796602 - 1. assign V195982 = V434004 - 1. assign V443603 = V534064 + 1. assign V582766 = V467315. assign V249574 = V903484. assign V567874 = V195982. assign V537106 = V830068. assign V538569 = V442602 - 1. assign V690956 = V922700 - 1. assign V796744 = V965262 - 1. assign V074121 = V055890 - 1. assign V694656 = V883113. assign V538872 = V208998. assign V965262 = V195982 - 1. assign V408434 = V069783. assign V162458 = V813732 + 1. assign V605415 = V757515 + 1. assign V874035 = V147158 + 1. assign V444163 = V728893 - 1. assign V434004 = V374629. assign V110981 = V074121 - 1. assign V534064 = V374629 - 1. assign V959448 = V830068 - 1. assign V040235 = V537106 + 1. assign V677165 = V017820 + 1. assign V784298 = V757515. assign V612015 = V069783. assign V449960 = V099220 + 1. assign V896257 = V835251. assign V856074 = V800852. assign V637965 = V796602 + 1. assign V208934 = V804588. assign V903484 = V374629 + 1. assign V747131 = V922700 + 1. assign V382954 = V783176 - 1. assign V951912 = V903484. assign V314772 = V015503. assign V061296 = V747131. assign V671360 = V534172. assign V775075 = V993107. assign V993107 = V096642. assign V976942 = V582766 + 1. assign V347513 = V739009 - 1. assign V783920 = V176651. assign V606759 = V534172. assign V787824 = V739009. assign V677188 = V350079 + 1. assign V387843 = V534064 - 1. assign V329077 = V813732 + 1. assign V935833 = V677165. assign V183139 = V443603 - 1. assign V804595 = V804588 + 1. assign V962130 = V017820. assign V208998 = V694656. assign V846545 = V165775. assign V799458 = V208998 - 1. assign V812319 = V830068 + 1. assign V061886 = V690956 - 1. assign V058243 = V495617 + 1. assign V094614 = V673131 - 1. assign V315231 = V867746 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V654718 = V590770 + 1. assign V039787 = V008428 + 1. assign V151786 = V025932 - 1. assign V309114 = V017820. assign V744537 = V434004. assign V025932 = V903484 - 1. assign V343179 = V690956 - 1. assign V757515 = V437562. assign V165775 = V387843 + 1. assign V822438 = V813732. assign V873556 = V309114 - 1. assign V386939 = V122525 + 1. assign V495617 = V437562. assign V804588 = V036738 - 1. assign V881206 = V728292. assign V201039 = V935833 - 1. assign V202879 = V147158 - 1. assign V176651 = V537106 - 1. assign V728893 = V640823 + 1. assign V524054 = V903484 + 1. assign V289922 = V165775. assign V506941 = V796744 - 1. assign V477230 = V784298 - 1. assign V506502 = V289838 + 1. assign V761549 = V692352. assign V467315 = V951912 - 1. assign V695070 = V195982. assign V932625 = V784298. assign V354380 = V867746 + 1. assign V461335 = V757515 + 1. assign V891075 = V374629 + 1. assign V390343 = V813732 + 1. assign V099526 = V374629 + 1. assign V099220 = V008428 + 1. assign V580785 = V260438. assign V017820 = V374629. assign V583136 = V208998 - 1. assign V832151 = V922700 + 1. assign V993619 = V782727 - 1. assign V883113 = V017820 + 1. assign V813732 = V830068. assign V036738 = V830068 - 1. assign V988114 = V202879 + 1. assign V292734 = V017820 - 1. assign V867746 = V830068 + 1. assign V358987 = V354380 + 1. assign V564054 = V800852 - 1. assign V692352 = V025932 + 1. assign V147158 = V832151 + 1. assign V348954 = V061886 - 1. assign V987743 = V695070. assign V055890 = V677188 - 1. assign V122525 = V461335 + 1. assign V640823 = V830068. assign V384564 = V243954. assign V386796 = V040235 + 1. assign V225035 = V017820 + 1. assign V105332 = V096642 + 1. assign V800852 = V677165. assign V783176 = V387843 - 1. assign V966831 = V909216 - 1. assign V096642 = V387843. assign V211482 = V796744 + 1. assign V350792 = V211482 - 1. assign V242274 = V580785 - 1. assign V922700 = V534064 + 1. assign V828641 = V040235 - 1. assign V320305 = V747131 + 1. assign V407259 = V347513 + 1. assign V000245 = V069783. assign V534172 = V437562. assign V260438 = V846545 - 1. assign V728292 = V783176 + 1. assign V590770 = V289922 - 1. assign V909216 = V387843. assign V231858 = V387843 + 1. assign V437562 = V944916 - 1. assign V069783 = V677165 + 1. assign V442602 = V096642 + 1. assign V167112 = V126720. assign V289838 = V835251 + 1. assign V663826 = V195982 + 1. assign V295515 = V833425 - 1. assign V439856 = V935833 - 1. assign V593935 = V694656. assign V833425 = 10. assign V835251 = V783176 - 1. assign V782727 = V147158 - 1. assign V796602 = V443603. assign V424867 = V015503. assign V226453 = V944916. assign V944916 = V534064 - 1. assign V658228 = V812319. assign V590710 = V891075. assign V008428 = V944916 + 1. assign V458881 = V677188. assign V836856 = V796602. assign V830068 = V165775 - 1. assign V673131 = V832151 - 1. assign V132321 = V903484 - 1. assign V397770 = V069783. assign V889730 = V671360 - 1. assign V350079 = V813732 + 1. assign V609038 = V695070. assign V015503 = V690956 - 1. assign V191514 = V315231 + 1. assign V920802 = V099220 - 1. assign V243954 = V677165 + 1. assign V126720 = V787824 + 1. assign V739009 = V783176. assign V559564 = V444163 + 1. assign V728518 = V796602 - 1. assign V195982 = V434004 - 1. assign V443603 = V534064 + 1. assign V582766 = V467315. assign V249574 = V903484. assign V567874 = V195982. assign V537106 = V830068. assign V538569 = V442602 - 1. assign V690956 = V922700 - 1. assign V796744 = V965262 - 1. assign V074121 = V055890 - 1. assign V694656 = V883113. assign V538872 = V208998. assign V965262 = V195982 - 1. assign V408434 = V069783. assign V162458 = V813732 + 1. assign V605415 = V757515 + 1. assign V874035 = V147158 + 1. assign V444163 = V728893 - 1. assign V434004 = V374629. assign V110981 = V074121 - 1. assign V534064 = V374629 - 1. assign V959448 = V830068 - 1. assign V040235 = V537106 + 1. assign V677165 = V017820 + 1. assign V784298 = V757515. assign V612015 = V069783. assign V449960 = V099220 + 1. assign V896257 = V835251. assign V856074 = V800852. assign V637965 = V796602 + 1. assign V208934 = V804588. assign V903484 = V374629 + 1. assign V747131 = V922700 + 1. assign V382954 = V783176 - 1. assign V951912 = V903484. assign V314772 = V015503. assign V061296 = V747131. assign V671360 = V534172. assign V775075 = V993107. assign V993107 = V096642. assign V976942 = V582766 + 1. assign V347513 = V739009 - 1. assign V783920 = V176651. assign V606759 = V534172. assign V787824 = V739009. assign V677188 = V350079 + 1. assign V387843 = V534064 - 1. assign V329077 = V813732 + 1. assign V935833 = V677165. assign V183139 = V443603 - 1. assign V804595 = V804588 + 1. assign V962130 = V017820. assign V208998 = V694656. assign V846545 = V165775. assign V799458 = V208998 - 1. assign V812319 = V830068 + 1. assign V061886 = V690956 - 1. assign V058243 = V495617 + 1. assign V094614 = V673131 - 1. assign V315231 = V867746 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV833425 = 10;\n\nFrom these direct assignment(s), we have: \nV295515 = V833425 - 1 = 10 - 1 =9;\nNo other variables can be derived from V295515;\nNo other variables can be derived from V833425;\n\nNow we have done all the calculations. Derived variables are:\nV833425 = 10;\nV295515 = 9;\n\nNow we have finished this problem. ANSWER:\nV295515\n", "role": "assistant" } ]

[ "V845829" ]

[ { "content": "<context>\nassign V395981 = V743191. assign V070927 = V472181 + 1. assign V661625 = V160241 + 1. assign V530628 = V463581 - 1. assign V927544 = V699454. assign V883880 = V512210 + 1. assign V324201 = V499172 + 1. assign V646802 = V805270 - 1. assign V463581 = V319612 + 1. assign V737317 = V127765 - 1. assign V852586 = V499172 + 1. assign V073441 = V883880 - 1. assign V174484 = V489434 + 1. assign V755229 = V292813 + 1. assign V329155 = V488322 + 1. assign V743191 = V559050 - 1. assign V312099 = V089299. assign V201096 = V124273 + 1. assign V374678 = V584310 - 1. assign V916428 = V898744 + 1. assign V691912 = V656885 + 1. assign V288813 = V596740 + 1. assign V697811 = V468485. assign V820293 = 3. assign V845829 = V820293 - 1. assign V203645 = V693671 + 1. assign V693671 = V699454. assign V680138 = V766305 + 1. assign V896602 = V895016 - 1. assign V416245 = V463125. assign V150634 = V798942 + 1. assign V668403 = V976391 + 1. assign V974719 = V042609 + 1. assign V104273 = V512210 + 1. assign V292813 = V699454 - 1. assign V489434 = V559050. assign V529383 = V070927 + 1. assign V264018 = V504452. assign V895016 = V512210. assign V123923 = V463581 - 1. assign V499629 = V743191 - 1. assign V174241 = V276815 + 1. assign V860719 = V104273 + 1. assign V227689 = V935199. assign V703181 = V896602. assign V089708 = V814389. assign V659734 = V814389. assign V169176 = V755229 - 1. assign V414550 = V267350 - 1. assign V584310 = V935199 + 1. assign V192946 = V004038 + 1. assign V599362 = V896602 + 1. assign V089299 = V134781. assign V093565 = V512210 - 1. assign V499172 = V624687 - 1. assign V491990 = V519532. assign V805270 = V621503 - 1. assign V656885 = V895016 + 1. assign V898744 = V313668 + 1. assign V191991 = V288813. assign V111194 = V860719 + 1. assign V599692 = V755229. assign V766305 = V253605 - 1. assign V504452 = V468485. assign V827468 = V395981. assign V124273 = V374678 + 1. assign V203272 = V385421 - 1. assign V463125 = V755229 - 1. assign V811307 = V276815 + 1. assign V238377 = V743191 + 1. assign V004273 = V814389 + 1. assign V276815 = V601433 + 1. assign V214458 = V798942. assign V462593 = V276815 - 1. assign V933542 = V292813 - 1. assign V253605 = V093565 + 1. assign V959197 = V491011 - 1. assign V647503 = V959197. assign V097111 = V743191 - 1. assign V060528 = V253605 + 1. assign V152370 = V319612. assign V207367 = V414550 + 1. assign V814389 = V253605 - 1. assign V079287 = V426624. assign V313668 = V896602 - 1. assign V333712 = V499172 + 1. assign V134781 = V559050 + 1. assign V624250 = V831159 + 1. assign V465144 = V811307 - 1. assign V472181 = V174484. assign V772786 = V827468 - 1. assign V042609 = V288813 - 1. assign V385421 = V203645. assign V097537 = V263922 + 1. assign V997149 = V089299 - 1. assign V582938 = V601433. assign V669974 = V912406 - 1. assign V293286 = V097537. assign V519532 = V601433. assign V749656 = V697811 - 1. assign V512210 = V927544 + 1. assign V468485 = V491990 - 1. assign V779307 = V728621 + 1. assign V976391 = V512210 - 1. assign V385407 = V883880 - 1. assign V004038 = V010279 + 1. assign V314754 = V699454 - 1. assign V026205 = V896602 + 1. assign V655634 = V463581 + 1. assign V120306 = V124273 + 1. assign V835704 = V176096 - 1. assign V280811 = V997149 + 1. assign V010279 = V601433 + 1. assign V703826 = V227689. assign V477656 = V251010. assign V912828 = V292813 + 1. assign V912406 = V693671 - 1. assign V267350 = V512210 - 1. assign V374155 = V693671 - 1. assign V975972 = V927544. assign V108112 = V933542 + 1. assign V393700 = V898744 - 1. assign V621503 = V504452. assign V488322 = V933542 + 1. assign V082342 = V976391 - 1. assign V482421 = V831159. assign V950891 = V728621. assign V606107 = V935199 + 1. assign V973901 = V624687 - 1. assign V031868 = V089299 - 1. assign V079384 = V606107 - 1. assign V263922 = V176096 - 1. assign V912210 = V974719 + 1. assign V508244 = V489434 + 1. assign V891493 = V976345 - 1. assign V789421 = V253605 + 1. assign V896333 = V743191 - 1. assign V134413 = V267350 + 1. assign V728621 = V912406 + 1. assign V127765 = V601433 + 1. assign V420857 = V693671 + 1. assign V367543 = V584310 + 1. assign V212567 = V367543 + 1. assign V211251 = V680138. assign V222215 = V152370. assign V426624 = V973901. assign V442087 = V512210 - 1. assign V415584 = V895016 + 1. assign V539522 = V191991 + 1. assign V643582 = V267350 + 1. assign V935199 = V912406 - 1. assign V601433 = V104273 - 1. assign V319612 = V276815 - 1. assign V976345 = V227689 - 1. assign V491011 = V743191 - 1. assign V559050 = V699454 + 1. assign V411075 = V082342. assign V624687 = V519532 - 1. assign V251010 = V661625 - 1. assign V985856 = V414550 + 1. assign V228594 = V728621 - 1. assign V471345 = V253605 + 1. assign V062487 = V895016 + 1. assign V831159 = V656885 - 1. assign V798942 = V933542 - 1. assign V596740 = V264018 - 1. assign V991350 = V471345 - 1. assign V160241 = V737317 + 1. assign V579073 = V097111 + 1. assign V318364 = V584310. assign V176096 = V933542. assign V144868 = V912828 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V395981 = V743191. assign V070927 = V472181 + 1. assign V661625 = V160241 + 1. assign V530628 = V463581 - 1. assign V927544 = V699454. assign V883880 = V512210 + 1. assign V324201 = V499172 + 1. assign V646802 = V805270 - 1. assign V463581 = V319612 + 1. assign V737317 = V127765 - 1. assign V852586 = V499172 + 1. assign V073441 = V883880 - 1. assign V174484 = V489434 + 1. assign V755229 = V292813 + 1. assign V329155 = V488322 + 1. assign V743191 = V559050 - 1. assign V312099 = V089299. assign V201096 = V124273 + 1. assign V374678 = V584310 - 1. assign V916428 = V898744 + 1. assign V691912 = V656885 + 1. assign V288813 = V596740 + 1. assign V697811 = V468485. assign V820293 = 3. assign V845829 = V820293 - 1. assign V203645 = V693671 + 1. assign V693671 = V699454. assign V680138 = V766305 + 1. assign V896602 = V895016 - 1. assign V416245 = V463125. assign V150634 = V798942 + 1. assign V668403 = V976391 + 1. assign V974719 = V042609 + 1. assign V104273 = V512210 + 1. assign V292813 = V699454 - 1. assign V489434 = V559050. assign V529383 = V070927 + 1. assign V264018 = V504452. assign V895016 = V512210. assign V123923 = V463581 - 1. assign V499629 = V743191 - 1. assign V174241 = V276815 + 1. assign V860719 = V104273 + 1. assign V227689 = V935199. assign V703181 = V896602. assign V089708 = V814389. assign V659734 = V814389. assign V169176 = V755229 - 1. assign V414550 = V267350 - 1. assign V584310 = V935199 + 1. assign V192946 = V004038 + 1. assign V599362 = V896602 + 1. assign V089299 = V134781. assign V093565 = V512210 - 1. assign V499172 = V624687 - 1. assign V491990 = V519532. assign V805270 = V621503 - 1. assign V656885 = V895016 + 1. assign V898744 = V313668 + 1. assign V191991 = V288813. assign V111194 = V860719 + 1. assign V599692 = V755229. assign V766305 = V253605 - 1. assign V504452 = V468485. assign V827468 = V395981. assign V124273 = V374678 + 1. assign V203272 = V385421 - 1. assign V463125 = V755229 - 1. assign V811307 = V276815 + 1. assign V238377 = V743191 + 1. assign V004273 = V814389 + 1. assign V276815 = V601433 + 1. assign V214458 = V798942. assign V462593 = V276815 - 1. assign V933542 = V292813 - 1. assign V253605 = V093565 + 1. assign V959197 = V491011 - 1. assign V647503 = V959197. assign V097111 = V743191 - 1. assign V060528 = V253605 + 1. assign V152370 = V319612. assign V207367 = V414550 + 1. assign V814389 = V253605 - 1. assign V079287 = V426624. assign V313668 = V896602 - 1. assign V333712 = V499172 + 1. assign V134781 = V559050 + 1. assign V624250 = V831159 + 1. assign V465144 = V811307 - 1. assign V472181 = V174484. assign V772786 = V827468 - 1. assign V042609 = V288813 - 1. assign V385421 = V203645. assign V097537 = V263922 + 1. assign V997149 = V089299 - 1. assign V582938 = V601433. assign V669974 = V912406 - 1. assign V293286 = V097537. assign V519532 = V601433. assign V749656 = V697811 - 1. assign V512210 = V927544 + 1. assign V468485 = V491990 - 1. assign V779307 = V728621 + 1. assign V976391 = V512210 - 1. assign V385407 = V883880 - 1. assign V004038 = V010279 + 1. assign V314754 = V699454 - 1. assign V026205 = V896602 + 1. assign V655634 = V463581 + 1. assign V120306 = V124273 + 1. assign V835704 = V176096 - 1. assign V280811 = V997149 + 1. assign V010279 = V601433 + 1. assign V703826 = V227689. assign V477656 = V251010. assign V912828 = V292813 + 1. assign V912406 = V693671 - 1. assign V267350 = V512210 - 1. assign V374155 = V693671 - 1. assign V975972 = V927544. assign V108112 = V933542 + 1. assign V393700 = V898744 - 1. assign V621503 = V504452. assign V488322 = V933542 + 1. assign V082342 = V976391 - 1. assign V482421 = V831159. assign V950891 = V728621. assign V606107 = V935199 + 1. assign V973901 = V624687 - 1. assign V031868 = V089299 - 1. assign V079384 = V606107 - 1. assign V263922 = V176096 - 1. assign V912210 = V974719 + 1. assign V508244 = V489434 + 1. assign V891493 = V976345 - 1. assign V789421 = V253605 + 1. assign V896333 = V743191 - 1. assign V134413 = V267350 + 1. assign V728621 = V912406 + 1. assign V127765 = V601433 + 1. assign V420857 = V693671 + 1. assign V367543 = V584310 + 1. assign V212567 = V367543 + 1. assign V211251 = V680138. assign V222215 = V152370. assign V426624 = V973901. assign V442087 = V512210 - 1. assign V415584 = V895016 + 1. assign V539522 = V191991 + 1. assign V643582 = V267350 + 1. assign V935199 = V912406 - 1. assign V601433 = V104273 - 1. assign V319612 = V276815 - 1. assign V976345 = V227689 - 1. assign V491011 = V743191 - 1. assign V559050 = V699454 + 1. assign V411075 = V082342. assign V624687 = V519532 - 1. assign V251010 = V661625 - 1. assign V985856 = V414550 + 1. assign V228594 = V728621 - 1. assign V471345 = V253605 + 1. assign V062487 = V895016 + 1. assign V831159 = V656885 - 1. assign V798942 = V933542 - 1. assign V596740 = V264018 - 1. assign V991350 = V471345 - 1. assign V160241 = V737317 + 1. assign V579073 = V097111 + 1. assign V318364 = V584310. assign V176096 = V933542. assign V144868 = V912828 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV820293 = 3;\n\nFrom these direct assignment(s), we have: \nV845829 = V820293 - 1 = 3 - 1 =2;\nNo other variables can be derived from V845829;\nNo other variables can be derived from V820293;\n\nNow we have done all the calculations. Derived variables are:\nV820293 = 3;\nV845829 = 2;\n\nNow we have finished this problem. ANSWER:\nV845829\n", "role": "assistant" } ]

[ "V199578" ]

[ { "content": "<context>\nassign V146551 = V042399. assign V684581 = V199578 - 1. assign V412254 = V124061. assign V617787 = V929244 + 1. assign V571346 = V370163 + 1. assign V237794 = V300673 - 1. assign V165049 = V811345 - 1. assign V115577 = V454441 - 1. assign V365850 = V266696 + 1. assign V727987 = V500785 - 1. assign V909935 = V806892 + 1. assign V090126 = V257262 - 1. assign V696748 = V566667 - 1. assign V571249 = V724015 - 1. assign V910927 = V581387 + 1. assign V903868 = V231663 - 1. assign V261649 = V800650. assign V613636 = V909935. assign V089664 = V364294 - 1. assign V936392 = V641606 - 1. assign V469426 = V300673 + 1. assign V370163 = V696748 + 1. assign V209020 = V062114 + 1. assign V236054 = V251680. assign V155747 = V500785. assign V687035 = V406112. assign V815416 = V364294 - 1. assign V631630 = V654455 - 1. assign V182346 = V349189. assign V620824 = V850709 - 1. assign V364294 = V393895 - 1. assign V393895 = V177680. assign V800650 = V419656. assign V777770 = V231663 - 1. assign V864045 = V910927 - 1. assign V350671 = V251680 - 1. assign V791589 = V915064. assign V376102 = V001988. assign V334674 = V850709. assign V652952 = V500785 + 1. assign V513233 = V687035. assign V714522 = V741292 + 1. assign V841595 = V237794 + 1. assign V645978 = V349189 + 1. assign V593978 = V124061 - 1. assign V272597 = V806892. assign V684039 = V334674 - 1. assign V128212 = V954326. assign V654455 = V481371 - 1. assign V929244 = V180304 + 1. assign V257262 = V566667 - 1. assign V032884 = V329937 + 1. assign V300673 = V231663 + 1. assign V683703 = V209020 - 1. assign V110472 = V124061. assign V179933 = V800650. assign V272561 = V334674 - 1. assign V567322 = V407392. assign V454441 = V089664 - 1. assign V591758 = V566667 - 1. assign V177272 = V936392. assign V566667 = V393895 + 1. assign V856052 = V370163. assign V076024 = V539624 - 1. assign V749033 = V645978 + 1. assign V329937 = V231663. assign V927115 = V645978 - 1. assign V752550 = V376102. assign V062114 = V407414 - 1. assign V101048 = V818877. assign V421400 = V593644 + 1. assign V407414 = V177680 - 1. assign V830204 = V235800 + 1. assign V568156 = V613636. assign V811952 = V419656. assign V280534 = V631630 + 1. assign V593644 = V177680 + 1. assign V481371 = V177680 + 1. assign V308445 = V032884. assign V269388 = V329937. assign V924952 = V741292 + 1. assign V850709 = V741292 - 1. assign V305449 = V370163 + 1. assign V956186 = V092151 + 1. assign V854674 = V370163 - 1. assign V741292 = V177680. assign V195067 = V323297 - 1. assign V819429 = V180304 + 1. assign V244554 = V903123 - 1. assign V531024 = V971074 + 1. assign V383969 = V323297 + 1. assign V378913 = V613636 + 1. assign V899440 = V915064. assign V499116 = V548669 - 1. assign V718901 = V631630. assign V539624 = V741292. assign V262478 = V481371 + 1. assign V020230 = V617787. assign V257772 = V269388 + 1. assign V577566 = V177680. assign V361104 = V063589 - 1. assign V548669 = V909935 - 1. assign V106642 = V370163. assign V635412 = V718901. assign V615281 = V237794 + 1. assign V588218 = V393895 - 1. assign V063589 = V753895. assign V486273 = V654455 + 1. assign V915064 = V811345 + 1. assign V436001 = V878663 - 1. assign V806892 = V231663 + 1. assign V906294 = V155747. assign V641606 = V177680. assign V266696 = V442931 - 1. assign V122232 = V631630. assign V042399 = V740502 - 1. assign V124061 = V089664. assign V530061 = V177680 + 1. assign V850016 = V811952. assign V057707 = V257772 - 1. assign V903123 = V106642 - 1. assign V176716 = V209020 - 1. assign V753107 = V903868 + 1. assign V092151 = V155747 - 1. assign V209009 = V257262 + 1. assign V291801 = V110472 + 1. assign V419656 = V481371. assign V903026 = V257262 + 1. assign V406112 = V753895 - 1. assign V324943 = V555506 - 1. assign V990615 = V806892. assign V654845 = V878663. assign V202656 = V936392 - 1. assign V292977 = V272561 - 1. assign V442931 = V811345 - 1. assign V323297 = V124061. assign V001988 = V177680 - 1. assign V811345 = V231663 - 1. assign V818877 = V323297 + 1. assign V182595 = V777770. assign V408800 = V182595. assign V946955 = V350671 - 1. assign V251680 = V089873 - 1. assign V687608 = V176716. assign V878663 = V741292 + 1. assign V581387 = V696748 + 1. assign V349189 = V393895 + 1. assign V290163 = V753895. assign V740502 = V291801 - 1. assign V377862 = V177680. assign V497829 = V032884. assign V739838 = V324943 + 1. assign V587721 = V856052. assign V235800 = V548669 + 1. assign V753895 = V124061 - 1. assign V316881 = V469426 - 1. assign V524527 = V500785 - 1. assign V615055 = V741292. assign V199578 = 5. assign V888376 = V436001. assign V089873 = V878663 - 1. assign V814122 = V383969 - 1. assign V724015 = V588218 + 1. assign V231663 = V177680. assign V180304 = V419656 - 1. assign V068380 = V257262 + 1. assign V407392 = V089664 + 1. assign V971074 = V235800 - 1. assign V555506 = V251680. assign V954326 = V407414 - 1. assign V500785 = V641606 - 1. assign V909167 = V568156 + 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 V146551 = V042399. assign V684581 = V199578 - 1. assign V412254 = V124061. assign V617787 = V929244 + 1. assign V571346 = V370163 + 1. assign V237794 = V300673 - 1. assign V165049 = V811345 - 1. assign V115577 = V454441 - 1. assign V365850 = V266696 + 1. assign V727987 = V500785 - 1. assign V909935 = V806892 + 1. assign V090126 = V257262 - 1. assign V696748 = V566667 - 1. assign V571249 = V724015 - 1. assign V910927 = V581387 + 1. assign V903868 = V231663 - 1. assign V261649 = V800650. assign V613636 = V909935. assign V089664 = V364294 - 1. assign V936392 = V641606 - 1. assign V469426 = V300673 + 1. assign V370163 = V696748 + 1. assign V209020 = V062114 + 1. assign V236054 = V251680. assign V155747 = V500785. assign V687035 = V406112. assign V815416 = V364294 - 1. assign V631630 = V654455 - 1. assign V182346 = V349189. assign V620824 = V850709 - 1. assign V364294 = V393895 - 1. assign V393895 = V177680. assign V800650 = V419656. assign V777770 = V231663 - 1. assign V864045 = V910927 - 1. assign V350671 = V251680 - 1. assign V791589 = V915064. assign V376102 = V001988. assign V334674 = V850709. assign V652952 = V500785 + 1. assign V513233 = V687035. assign V714522 = V741292 + 1. assign V841595 = V237794 + 1. assign V645978 = V349189 + 1. assign V593978 = V124061 - 1. assign V272597 = V806892. assign V684039 = V334674 - 1. assign V128212 = V954326. assign V654455 = V481371 - 1. assign V929244 = V180304 + 1. assign V257262 = V566667 - 1. assign V032884 = V329937 + 1. assign V300673 = V231663 + 1. assign V683703 = V209020 - 1. assign V110472 = V124061. assign V179933 = V800650. assign V272561 = V334674 - 1. assign V567322 = V407392. assign V454441 = V089664 - 1. assign V591758 = V566667 - 1. assign V177272 = V936392. assign V566667 = V393895 + 1. assign V856052 = V370163. assign V076024 = V539624 - 1. assign V749033 = V645978 + 1. assign V329937 = V231663. assign V927115 = V645978 - 1. assign V752550 = V376102. assign V062114 = V407414 - 1. assign V101048 = V818877. assign V421400 = V593644 + 1. assign V407414 = V177680 - 1. assign V830204 = V235800 + 1. assign V568156 = V613636. assign V811952 = V419656. assign V280534 = V631630 + 1. assign V593644 = V177680 + 1. assign V481371 = V177680 + 1. assign V308445 = V032884. assign V269388 = V329937. assign V924952 = V741292 + 1. assign V850709 = V741292 - 1. assign V305449 = V370163 + 1. assign V956186 = V092151 + 1. assign V854674 = V370163 - 1. assign V741292 = V177680. assign V195067 = V323297 - 1. assign V819429 = V180304 + 1. assign V244554 = V903123 - 1. assign V531024 = V971074 + 1. assign V383969 = V323297 + 1. assign V378913 = V613636 + 1. assign V899440 = V915064. assign V499116 = V548669 - 1. assign V718901 = V631630. assign V539624 = V741292. assign V262478 = V481371 + 1. assign V020230 = V617787. assign V257772 = V269388 + 1. assign V577566 = V177680. assign V361104 = V063589 - 1. assign V548669 = V909935 - 1. assign V106642 = V370163. assign V635412 = V718901. assign V615281 = V237794 + 1. assign V588218 = V393895 - 1. assign V063589 = V753895. assign V486273 = V654455 + 1. assign V915064 = V811345 + 1. assign V436001 = V878663 - 1. assign V806892 = V231663 + 1. assign V906294 = V155747. assign V641606 = V177680. assign V266696 = V442931 - 1. assign V122232 = V631630. assign V042399 = V740502 - 1. assign V124061 = V089664. assign V530061 = V177680 + 1. assign V850016 = V811952. assign V057707 = V257772 - 1. assign V903123 = V106642 - 1. assign V176716 = V209020 - 1. assign V753107 = V903868 + 1. assign V092151 = V155747 - 1. assign V209009 = V257262 + 1. assign V291801 = V110472 + 1. assign V419656 = V481371. assign V903026 = V257262 + 1. assign V406112 = V753895 - 1. assign V324943 = V555506 - 1. assign V990615 = V806892. assign V654845 = V878663. assign V202656 = V936392 - 1. assign V292977 = V272561 - 1. assign V442931 = V811345 - 1. assign V323297 = V124061. assign V001988 = V177680 - 1. assign V811345 = V231663 - 1. assign V818877 = V323297 + 1. assign V182595 = V777770. assign V408800 = V182595. assign V946955 = V350671 - 1. assign V251680 = V089873 - 1. assign V687608 = V176716. assign V878663 = V741292 + 1. assign V581387 = V696748 + 1. assign V349189 = V393895 + 1. assign V290163 = V753895. assign V740502 = V291801 - 1. assign V377862 = V177680. assign V497829 = V032884. assign V739838 = V324943 + 1. assign V587721 = V856052. assign V235800 = V548669 + 1. assign V753895 = V124061 - 1. assign V316881 = V469426 - 1. assign V524527 = V500785 - 1. assign V615055 = V741292. assign V199578 = 5. assign V888376 = V436001. assign V089873 = V878663 - 1. assign V814122 = V383969 - 1. assign V724015 = V588218 + 1. assign V231663 = V177680. assign V180304 = V419656 - 1. assign V068380 = V257262 + 1. assign V407392 = V089664 + 1. assign V971074 = V235800 - 1. assign V555506 = V251680. assign V954326 = V407414 - 1. assign V500785 = V641606 - 1. assign V909167 = V568156 + 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):\nV199578 = 5;\n\nFrom these direct assignment(s), we have: \nV684581 = V199578 - 1 = 5 - 1 =4;\nNo other variables can be derived from V684581;\nNo other variables can be derived from V199578;\n\nNow we have done all the calculations. Derived variables are:\nV199578 = 5;\nV684581 = 4;\n\nNow we have finished this problem. ANSWER:\nV199578\n", "role": "assistant" } ]

[ "V192471" ]

[ { "content": "<context>\nassign V136317 = V914444. assign V343697 = V841212 - 1. assign V259941 = V087244 + 1. assign V156525 = V006235 - 1. assign V750062 = V246841 + 1. assign V195821 = V036750. assign V203028 = V597780. assign V308349 = V947390 - 1. assign V401774 = V457579 - 1. assign V813746 = V831629 + 1. assign V072670 = V818952 - 1. assign V444154 = V557468 + 1. assign V947390 = V831629 - 1. assign V565403 = V938978 + 1. assign V411423 = V763786 + 1. assign V841212 = V273066. assign V656128 = V695475. assign V567512 = V477396 - 1. assign V509257 = V620133. assign V734342 = V839840. assign V005686 = V246841 + 1. assign V680022 = V780509 + 1. assign V934953 = V186308. assign V912100 = V216007 + 1. assign V407871 = V186308. assign V938978 = V308441 + 1. assign V557468 = V087244. assign V749678 = V344131 + 1. assign V064119 = V215747 + 1. assign V382299 = V195821 - 1. assign V187163 = V947390. assign V192471 = 9. assign V491175 = V133750 - 1. assign V899964 = V259941. assign V695475 = V437435 + 1. assign V610272 = V763786 - 1. assign V632369 = V509257 - 1. assign V597780 = V620133 - 1. assign V582770 = V259941. assign V268062 = V087244. assign V841687 = V620133. assign V607801 = V187795. assign V488313 = V780509 + 1. assign V284202 = V783947. assign V883614 = V620133. assign V096704 = V831629 - 1. assign V392491 = V499941 + 1. assign V908214 = V632369 - 1. assign V575844 = V749678 - 1. assign V694646 = V457579. assign V291838 = V421562 + 1. assign V232205 = V105260 + 1. assign V149754 = V223008 - 1. assign V043119 = V835592. assign V481033 = V407871 + 1. assign V847010 = V827058. assign V137157 = V990151 - 1. assign V521129 = V477396 - 1. assign V815067 = V444154. assign V290162 = V105260 + 1. assign V291499 = V672771 - 1. assign V658369 = V817695 - 1. assign V314087 = V036750. assign V664225 = V883614 + 1. assign V413435 = V938978 + 1. assign V756945 = V149754. assign V817695 = V899964. assign V161087 = V815067 - 1. assign V001844 = V808231 + 1. assign V563111 = V947390 - 1. assign V700710 = V818952 + 1. assign V137682 = V215747 - 1. assign V211768 = V947390 - 1. assign V594690 = V149754. assign V972142 = V616187 + 1. assign V186308 = V863807. assign V061458 = V749678 + 1. assign V215747 = V149754 - 1. assign V477396 = V088398 - 1. assign V858489 = V284202 + 1. assign V877219 = V954358 + 1. assign V216007 = V072670 - 1. assign V209804 = V883614. assign V883071 = V186308. assign V730771 = V195821. assign V063964 = V594690 - 1. assign V978761 = V187795 + 1. assign V486077 = V584495 + 1. assign V045629 = V883071 - 1. assign V590553 = V192471 - 1. assign V620133 = V087244 + 1. assign V065769 = V839840 - 1. assign V023963 = V308441 - 1. assign V759020 = V481033. assign V827058 = V509257 - 1. assign V202924 = V065769 - 1. assign V891425 = V203028. assign V839840 = V149754 + 1. assign V584495 = V023963. assign V462996 = V096704 + 1. assign V308441 = V479390 + 1. assign V187795 = V087244 - 1. assign V371279 = V259941 - 1. assign V305335 = V899964 + 1. assign V717119 = V157656. assign V193109 = V006235. assign V522171 = V575844 - 1. assign V954358 = V815067 + 1. assign V883387 = V308441. assign V636799 = V839840 + 1. assign V856209 = V088398 - 1. assign V759464 = V207952 + 1. assign V860735 = V610272 + 1. assign V352163 = V831629. assign V850748 = V841212. assign V174445 = V672771. assign V863807 = V509257 - 1. assign V818952 = V813746. assign V550362 = V808231 + 1. assign V099786 = V947390 + 1. assign V087244 = V831629 + 1. assign V479390 = V036750. assign V457579 = V444154 + 1. assign V444274 = V563111. assign V672771 = V620133 + 1. assign V182387 = V462996 - 1. assign V522192 = V023963 - 1. assign V558657 = V557468 - 1. assign V246841 = V186308 - 1. assign V835592 = V352163 - 1. assign V914444 = V841687. assign V344131 = V863807 - 1. assign V499941 = V407871. assign V133750 = V815067 - 1. assign V105260 = V815067 - 1. assign V849449 = V883387. assign V780509 = V195821 + 1. assign V897149 = V835592 + 1. assign V635873 = V756945 + 1. assign V036750 = V096704. assign V157656 = V831629 + 1. assign V088398 = V195821. assign V808231 = V421562 + 1. assign V207952 = V479390 + 1. assign V604574 = V597780. assign V984462 = V914444. assign V975108 = V521129 - 1. assign V548034 = V259941. assign V285404 = V352163 + 1. assign V486481 = V841687 - 1. assign V273066 = V187795 - 1. assign V403708 = V291499 + 1. assign V437435 = V780509 + 1. assign V774979 = V444154. assign V763786 = V947390. assign V421562 = V557468 - 1. assign V099140 = V308441 - 1. assign V461392 = V371279 - 1. assign V006235 = V817695. assign V616187 = V658369 + 1. assign V860233 = V899964 + 1. assign V661024 = V045629 - 1. assign V910920 = V734342. assign V990151 = V700710 - 1. assign V826289 = V860233. assign V258525 = V005686. assign V982929 = V284202 - 1. assign V526382 = V215747. assign V048276 = V597780. assign V783947 = V096704. assign V223008 = V036750 - 1. assign V214947 = V305335.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V136317 = V914444. assign V343697 = V841212 - 1. assign V259941 = V087244 + 1. assign V156525 = V006235 - 1. assign V750062 = V246841 + 1. assign V195821 = V036750. assign V203028 = V597780. assign V308349 = V947390 - 1. assign V401774 = V457579 - 1. assign V813746 = V831629 + 1. assign V072670 = V818952 - 1. assign V444154 = V557468 + 1. assign V947390 = V831629 - 1. assign V565403 = V938978 + 1. assign V411423 = V763786 + 1. assign V841212 = V273066. assign V656128 = V695475. assign V567512 = V477396 - 1. assign V509257 = V620133. assign V734342 = V839840. assign V005686 = V246841 + 1. assign V680022 = V780509 + 1. assign V934953 = V186308. assign V912100 = V216007 + 1. assign V407871 = V186308. assign V938978 = V308441 + 1. assign V557468 = V087244. assign V749678 = V344131 + 1. assign V064119 = V215747 + 1. assign V382299 = V195821 - 1. assign V187163 = V947390. assign V192471 = 9. assign V491175 = V133750 - 1. assign V899964 = V259941. assign V695475 = V437435 + 1. assign V610272 = V763786 - 1. assign V632369 = V509257 - 1. assign V597780 = V620133 - 1. assign V582770 = V259941. assign V268062 = V087244. assign V841687 = V620133. assign V607801 = V187795. assign V488313 = V780509 + 1. assign V284202 = V783947. assign V883614 = V620133. assign V096704 = V831629 - 1. assign V392491 = V499941 + 1. assign V908214 = V632369 - 1. assign V575844 = V749678 - 1. assign V694646 = V457579. assign V291838 = V421562 + 1. assign V232205 = V105260 + 1. assign V149754 = V223008 - 1. assign V043119 = V835592. assign V481033 = V407871 + 1. assign V847010 = V827058. assign V137157 = V990151 - 1. assign V521129 = V477396 - 1. assign V815067 = V444154. assign V290162 = V105260 + 1. assign V291499 = V672771 - 1. assign V658369 = V817695 - 1. assign V314087 = V036750. assign V664225 = V883614 + 1. assign V413435 = V938978 + 1. assign V756945 = V149754. assign V817695 = V899964. assign V161087 = V815067 - 1. assign V001844 = V808231 + 1. assign V563111 = V947390 - 1. assign V700710 = V818952 + 1. assign V137682 = V215747 - 1. assign V211768 = V947390 - 1. assign V594690 = V149754. assign V972142 = V616187 + 1. assign V186308 = V863807. assign V061458 = V749678 + 1. assign V215747 = V149754 - 1. assign V477396 = V088398 - 1. assign V858489 = V284202 + 1. assign V877219 = V954358 + 1. assign V216007 = V072670 - 1. assign V209804 = V883614. assign V883071 = V186308. assign V730771 = V195821. assign V063964 = V594690 - 1. assign V978761 = V187795 + 1. assign V486077 = V584495 + 1. assign V045629 = V883071 - 1. assign V590553 = V192471 - 1. assign V620133 = V087244 + 1. assign V065769 = V839840 - 1. assign V023963 = V308441 - 1. assign V759020 = V481033. assign V827058 = V509257 - 1. assign V202924 = V065769 - 1. assign V891425 = V203028. assign V839840 = V149754 + 1. assign V584495 = V023963. assign V462996 = V096704 + 1. assign V308441 = V479390 + 1. assign V187795 = V087244 - 1. assign V371279 = V259941 - 1. assign V305335 = V899964 + 1. assign V717119 = V157656. assign V193109 = V006235. assign V522171 = V575844 - 1. assign V954358 = V815067 + 1. assign V883387 = V308441. assign V636799 = V839840 + 1. assign V856209 = V088398 - 1. assign V759464 = V207952 + 1. assign V860735 = V610272 + 1. assign V352163 = V831629. assign V850748 = V841212. assign V174445 = V672771. assign V863807 = V509257 - 1. assign V818952 = V813746. assign V550362 = V808231 + 1. assign V099786 = V947390 + 1. assign V087244 = V831629 + 1. assign V479390 = V036750. assign V457579 = V444154 + 1. assign V444274 = V563111. assign V672771 = V620133 + 1. assign V182387 = V462996 - 1. assign V522192 = V023963 - 1. assign V558657 = V557468 - 1. assign V246841 = V186308 - 1. assign V835592 = V352163 - 1. assign V914444 = V841687. assign V344131 = V863807 - 1. assign V499941 = V407871. assign V133750 = V815067 - 1. assign V105260 = V815067 - 1. assign V849449 = V883387. assign V780509 = V195821 + 1. assign V897149 = V835592 + 1. assign V635873 = V756945 + 1. assign V036750 = V096704. assign V157656 = V831629 + 1. assign V088398 = V195821. assign V808231 = V421562 + 1. assign V207952 = V479390 + 1. assign V604574 = V597780. assign V984462 = V914444. assign V975108 = V521129 - 1. assign V548034 = V259941. assign V285404 = V352163 + 1. assign V486481 = V841687 - 1. assign V273066 = V187795 - 1. assign V403708 = V291499 + 1. assign V437435 = V780509 + 1. assign V774979 = V444154. assign V763786 = V947390. assign V421562 = V557468 - 1. assign V099140 = V308441 - 1. assign V461392 = V371279 - 1. assign V006235 = V817695. assign V616187 = V658369 + 1. assign V860233 = V899964 + 1. assign V661024 = V045629 - 1. assign V910920 = V734342. assign V990151 = V700710 - 1. assign V826289 = V860233. assign V258525 = V005686. assign V982929 = V284202 - 1. assign V526382 = V215747. assign V048276 = V597780. assign V783947 = V096704. assign V223008 = V036750 - 1. assign V214947 = V305335.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV192471 = 9;\n\nFrom these direct assignment(s), we have: \nV590553 = V192471 - 1 = 9 - 1 =8;\nNo other variables can be derived from V590553;\nNo other variables can be derived from V192471;\n\nNow we have done all the calculations. Derived variables are:\nV192471 = 9;\nV590553 = 8;\n\nNow we have finished this problem. ANSWER:\nV192471\n", "role": "assistant" } ]

[ "V741992", "V777766" ]

[ { "content": "<context>\nassign V127378 = V264299. assign V641758 = V292416 + 1. assign V256370 = V089196 - 1. assign V273755 = V245278 - 1. assign V175276 = V409105 - 1. assign V167667 = V461721 - 1. assign V522496 = V688181. assign V843302 = V325472. assign V473291 = V542791 + 1. assign V266662 = V451324 + 1. assign V597734 = V800959 - 1. assign V196864 = V074983. assign V245278 = V048295 + 1. assign V190711 = V135870 + 1. assign V340791 = V273755 + 1. assign V533666 = V361813. assign V409105 = V118531 + 1. assign V603039 = V408358 + 1. assign V501231 = V850750 - 1. assign V461721 = V640260 + 1. assign V200113 = V994104 + 1. assign V943437 = V069115 + 1. assign V420491 = V494769 + 1. assign V264299 = V640260 - 1. assign V622856 = V527396. assign V074983 = V798557 + 1. assign V561914 = V415220 - 1. assign V474730 = V542791 - 1. assign V030181 = V118117. assign V008009 = V686279. assign V160669 = V506400 + 1. assign V595293 = V520115. assign V423477 = V264299. assign V327038 = V461721 - 1. assign V153975 = V579136 - 1. assign V659826 = V048295 - 1. assign V954742 = V420491 - 1. assign V465110 = V798799 - 1. assign V145440 = V593225 + 1. assign V244448 = V960768 - 1. assign V144475 = V167365 - 1. assign V800959 = V241300. assign V451324 = V579136 + 1. assign V540091 = V473584 - 1. assign V424940 = V978008 - 1. assign V118117 = V048295. assign V128635 = V593225 + 1. assign V994343 = V683098 - 1. assign V348156 = V089196 - 1. assign V520115 = V264299 + 1. assign V473079 = V256370 + 1. assign V397377 = V348156 - 1. assign V239581 = V994343 - 1. assign V648660 = V612812. assign V203371 = V798557. assign V118531 = V135870 + 1. assign V911036 = V377536 - 1. assign V610581 = V244448 - 1. assign V723116 = V292416 + 1. assign V938716 = V786041 + 1. assign V777766 = V741992. assign V442403 = V987580. assign V019056 = V674729. assign V359122 = V273755 - 1. assign V544786 = V032526 + 1. assign V069115 = V674729 + 1. assign V858528 = V978008 + 1. assign V032526 = V593225 - 1. assign V913943 = V167667. assign V546940 = V327038. assign V363342 = V135870 - 1. assign V377536 = V640260 - 1. assign V798799 = V273755 - 1. assign V048295 = V089196 + 1. assign V994104 = V030181 - 1. assign V769708 = V716830 - 1. assign V058492 = V936826 + 1. assign V741992 = 10. assign V381018 = V610581. assign V683670 = V798557 + 1. assign V974241 = V850750 + 1. assign V165120 = V922021. assign V978008 = V683098 + 1. assign V688181 = V674729 + 1. assign V006762 = V032526 - 1. assign V325472 = V684186 + 1. assign V850750 = V377536 - 1. assign V179857 = V529196. assign V561151 = V527396 + 1. assign V166357 = V987580 + 1. assign V594583 = V266093. assign V361813 = V423477 - 1. assign V053645 = V561914. assign V827532 = V359122 - 1. assign V494769 = V256370 - 1. assign V183132 = V683098 - 1. assign V686537 = V683670 + 1. assign V167365 = V348156. assign V026228 = V684186 - 1. assign V786041 = V003604 + 1. assign V532370 = V424940. assign V177020 = V260370. assign V292416 = V118531 - 1. assign V671030 = V273755 - 1. assign V408358 = V683098 - 1. assign V279371 = V127378 + 1. assign V684186 = V788635. assign V960768 = V527396 - 1. assign V051644 = V003604. assign V395131 = V118117 + 1. assign V454314 = V922021 - 1. assign V046037 = V203371. assign V527396 = V994104. assign V765033 = V325472. assign V556904 = V243401. assign V692187 = V241300 + 1. assign V480896 = V089196 - 1. assign V922021 = V327038. assign V926616 = V978008. assign V865940 = V392167 + 1. assign V686279 = V408358 + 1. assign V120601 = V279371. assign V479995 = V506400 + 1. assign V987580 = V686279 - 1. assign V089196 = V135870. assign V936826 = V788635. assign V506400 = V089196 + 1. assign V260370 = V949224 + 1. assign V065898 = V243401 + 1. assign V716830 = V987580 - 1. assign V674729 = V408358 + 1. assign V529196 = V190711 + 1. assign V473584 = V415220 - 1. assign V550503 = V264299 - 1. assign V579136 = V325472 + 1. assign V889679 = V166357. assign V328332 = V089196 + 1. assign V923738 = V911036. assign V313136 = V053645 + 1. assign V788635 = V461721 + 1. assign V415220 = V640260. assign V720457 = V003604 - 1. assign V798557 = V264299. assign V702454 = V480896. assign V135870 = V264299 - 1. assign V906287 = V245278 - 1. assign V243401 = V579136. assign V762303 = V361232. assign V705893 = V674729 + 1. assign V415292 = V348474. assign V003604 = V165120. assign V237342 = V266662 - 1. assign V659561 = V392167. assign V348474 = V058492 + 1. assign V780487 = V454314. assign V467969 = V264299. assign V745971 = V579136. assign V542791 = V328332 - 1. assign V241300 = V264299 - 1. assign V361232 = V745971 + 1. assign V388974 = V556904 + 1. assign V593225 = V256370 - 1. assign V266093 = V423477 + 1. assign V131525 = V788635 + 1. assign V381088 = V089196. assign V949224 = V684186. assign V683098 = V506400 - 1. assign V929637 = V266662 - 1. assign V097390 = V473584. assign V392167 = V046037. assign V612812 = V325472 + 1. assign V818300 = V674729 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V127378 = V264299. assign V641758 = V292416 + 1. assign V256370 = V089196 - 1. assign V273755 = V245278 - 1. assign V175276 = V409105 - 1. assign V167667 = V461721 - 1. assign V522496 = V688181. assign V843302 = V325472. assign V473291 = V542791 + 1. assign V266662 = V451324 + 1. assign V597734 = V800959 - 1. assign V196864 = V074983. assign V245278 = V048295 + 1. assign V190711 = V135870 + 1. assign V340791 = V273755 + 1. assign V533666 = V361813. assign V409105 = V118531 + 1. assign V603039 = V408358 + 1. assign V501231 = V850750 - 1. assign V461721 = V640260 + 1. assign V200113 = V994104 + 1. assign V943437 = V069115 + 1. assign V420491 = V494769 + 1. assign V264299 = V640260 - 1. assign V622856 = V527396. assign V074983 = V798557 + 1. assign V561914 = V415220 - 1. assign V474730 = V542791 - 1. assign V030181 = V118117. assign V008009 = V686279. assign V160669 = V506400 + 1. assign V595293 = V520115. assign V423477 = V264299. assign V327038 = V461721 - 1. assign V153975 = V579136 - 1. assign V659826 = V048295 - 1. assign V954742 = V420491 - 1. assign V465110 = V798799 - 1. assign V145440 = V593225 + 1. assign V244448 = V960768 - 1. assign V144475 = V167365 - 1. assign V800959 = V241300. assign V451324 = V579136 + 1. assign V540091 = V473584 - 1. assign V424940 = V978008 - 1. assign V118117 = V048295. assign V128635 = V593225 + 1. assign V994343 = V683098 - 1. assign V348156 = V089196 - 1. assign V520115 = V264299 + 1. assign V473079 = V256370 + 1. assign V397377 = V348156 - 1. assign V239581 = V994343 - 1. assign V648660 = V612812. assign V203371 = V798557. assign V118531 = V135870 + 1. assign V911036 = V377536 - 1. assign V610581 = V244448 - 1. assign V723116 = V292416 + 1. assign V938716 = V786041 + 1. assign V777766 = V741992. assign V442403 = V987580. assign V019056 = V674729. assign V359122 = V273755 - 1. assign V544786 = V032526 + 1. assign V069115 = V674729 + 1. assign V858528 = V978008 + 1. assign V032526 = V593225 - 1. assign V913943 = V167667. assign V546940 = V327038. assign V363342 = V135870 - 1. assign V377536 = V640260 - 1. assign V798799 = V273755 - 1. assign V048295 = V089196 + 1. assign V994104 = V030181 - 1. assign V769708 = V716830 - 1. assign V058492 = V936826 + 1. assign V741992 = 10. assign V381018 = V610581. assign V683670 = V798557 + 1. assign V974241 = V850750 + 1. assign V165120 = V922021. assign V978008 = V683098 + 1. assign V688181 = V674729 + 1. assign V006762 = V032526 - 1. assign V325472 = V684186 + 1. assign V850750 = V377536 - 1. assign V179857 = V529196. assign V561151 = V527396 + 1. assign V166357 = V987580 + 1. assign V594583 = V266093. assign V361813 = V423477 - 1. assign V053645 = V561914. assign V827532 = V359122 - 1. assign V494769 = V256370 - 1. assign V183132 = V683098 - 1. assign V686537 = V683670 + 1. assign V167365 = V348156. assign V026228 = V684186 - 1. assign V786041 = V003604 + 1. assign V532370 = V424940. assign V177020 = V260370. assign V292416 = V118531 - 1. assign V671030 = V273755 - 1. assign V408358 = V683098 - 1. assign V279371 = V127378 + 1. assign V684186 = V788635. assign V960768 = V527396 - 1. assign V051644 = V003604. assign V395131 = V118117 + 1. assign V454314 = V922021 - 1. assign V046037 = V203371. assign V527396 = V994104. assign V765033 = V325472. assign V556904 = V243401. assign V692187 = V241300 + 1. assign V480896 = V089196 - 1. assign V922021 = V327038. assign V926616 = V978008. assign V865940 = V392167 + 1. assign V686279 = V408358 + 1. assign V120601 = V279371. assign V479995 = V506400 + 1. assign V987580 = V686279 - 1. assign V089196 = V135870. assign V936826 = V788635. assign V506400 = V089196 + 1. assign V260370 = V949224 + 1. assign V065898 = V243401 + 1. assign V716830 = V987580 - 1. assign V674729 = V408358 + 1. assign V529196 = V190711 + 1. assign V473584 = V415220 - 1. assign V550503 = V264299 - 1. assign V579136 = V325472 + 1. assign V889679 = V166357. assign V328332 = V089196 + 1. assign V923738 = V911036. assign V313136 = V053645 + 1. assign V788635 = V461721 + 1. assign V415220 = V640260. assign V720457 = V003604 - 1. assign V798557 = V264299. assign V702454 = V480896. assign V135870 = V264299 - 1. assign V906287 = V245278 - 1. assign V243401 = V579136. assign V762303 = V361232. assign V705893 = V674729 + 1. assign V415292 = V348474. assign V003604 = V165120. assign V237342 = V266662 - 1. assign V659561 = V392167. assign V348474 = V058492 + 1. assign V780487 = V454314. assign V467969 = V264299. assign V745971 = V579136. assign V542791 = V328332 - 1. assign V241300 = V264299 - 1. assign V361232 = V745971 + 1. assign V388974 = V556904 + 1. assign V593225 = V256370 - 1. assign V266093 = V423477 + 1. assign V131525 = V788635 + 1. assign V381088 = V089196. assign V949224 = V684186. assign V683098 = V506400 - 1. assign V929637 = V266662 - 1. assign V097390 = V473584. assign V392167 = V046037. assign V612812 = V325472 + 1. assign V818300 = V674729 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV741992 = 10;\n\nFrom these direct assignment(s), we have: \nV777766 = V741992 = 10;\nNo other variables can be derived from V777766;\nNo other variables can be derived from V741992;\n\nNow we have done all the calculations. Derived variables are:\nV741992 = 10;\nV777766 = 10;\n\nNow we have finished this problem. ANSWER:\nV741992, V777766\n", "role": "assistant" } ]

[ "V271246" ]

[ { "content": "<context>\nassign V435777 = V178209 + 1. assign V418378 = V125432. assign V702318 = V945545 + 1. assign V353289 = V864661. assign V158943 = V632201. assign V332801 = V390965. assign V351879 = V937919. assign V076660 = V351879. assign V765875 = V195244. assign V401649 = V418378. assign V896471 = V868975 - 1. assign V641916 = V144919 + 1. assign V868975 = V589097. assign V328888 = V561110 - 1. assign V962634 = V065249 + 1. assign V937919 = V526716. assign V448021 = V143524. assign V358506 = V797624 - 1. assign V998873 = V000605 + 1. assign V892064 = V526716. assign V494594 = V358506. assign V192118 = V065249 + 1. assign V380006 = V589097. assign V801930 = V664773 - 1. assign V718557 = V892064. assign V467555 = V155673. assign V670309 = V526716 + 1. assign V557686 = V834258 - 1. assign V935819 = V695877 - 1. assign V664773 = V892064 - 1. assign V801894 = V029584 + 1. assign V358679 = V663431. assign V991668 = V319810. assign V449065 = V776402 + 1. assign V402955 = V910768. assign V975222 = V307526. assign V776402 = V526716 - 1. assign V465600 = V641916 - 1. assign V581114 = V144919. assign V455324 = V323540 + 1. assign V270187 = V702318. assign V361170 = V418378 - 1. assign V564047 = V547054 - 1. assign V144919 = V892064 + 1. assign V448024 = V872007. assign V864661 = V664773. assign V747653 = V212100. assign V429987 = V589097 + 1. assign V396443 = V155673. assign V589097 = V526716 - 1. assign V913553 = V595901 - 1. assign V052167 = V448024 - 1. assign V490123 = V380006 - 1. assign V053572 = V120536 + 1. assign V209281 = V401649 + 1. assign V695877 = V353289 + 1. assign V927667 = V374259. assign V031480 = V418378. assign V751266 = V937919. assign V533690 = V718557 + 1. assign V775236 = V331878 - 1. assign V434853 = V396443. assign V195244 = V937919 - 1. assign V681906 = V937919 - 1. assign V678563 = V065249 - 1. assign V177067 = V207867 - 1. assign V523058 = V632201. assign V373455 = V792829. assign V323540 = V663495 - 1. assign V091266 = V418378. assign V319810 = V448021 + 1. assign V595901 = V945545 - 1. assign V178624 = V490123. assign V692698 = V589097. assign V307526 = V190282 - 1. assign V616771 = V351403 + 1. assign V625219 = V541712. assign V302715 = V323540. assign V405956 = V938543. assign V604168 = V388406 + 1. assign V663495 = V664773 - 1. assign V212100 = V195244. assign V755248 = V448021 + 1. assign V961657 = V550651 + 1. assign V617162 = V351879 + 1. assign V701198 = V998196. assign V547054 = V143524 + 1. assign V000605 = V892064. assign V638090 = V401649. assign V557016 = V945545 + 1. assign V957838 = V797624 + 1. assign V610813 = V116506. assign V834258 = V957838 + 1. assign V663431 = V361170 + 1. assign V881676 = V307526. assign V876399 = V400146. assign V942020 = V120536 + 1. assign V861950 = V776402 - 1. assign V998196 = V751266. assign V462171 = 5. assign V792829 = V783605. assign V710831 = V042649. assign V632201 = V670309 - 1. assign V526275 = V125432. assign V390965 = V125432 + 1. assign V120536 = V429987 - 1. assign V426785 = V403713 + 1. assign V563831 = V937919. assign V457489 = V178624. assign V931609 = V353289 + 1. assign V155673 = V125432 - 1. assign V938543 = V178209 + 1. assign V619182 = V029584 + 1. assign V178209 = V065249 - 1. assign V746900 = V691818. assign V152050 = V892064 + 1. assign V147036 = V270187 + 1. assign V331878 = V143524. assign V207867 = V351403 + 1. assign V627401 = V380006 + 1. assign V143524 = V589097. assign V550651 = V224373. assign V713207 = V818905 - 1. assign V526716 = V374259 + 1. assign V451935 = V302715. assign V442710 = V190282 + 1. assign V691818 = V152050. assign V116506 = V691818. assign V619785 = V195244 - 1. assign V743183 = V938543 + 1. assign V480380 = V660521 + 1. assign V065249 = V670309 - 1. assign V250667 = V374259 - 1. assign V042649 = V152050 + 1. assign V058652 = V065249. assign V190282 = V155673 + 1. assign V910768 = V152050 - 1. assign V225664 = V448021. assign V783605 = V718557 - 1. assign V403713 = V663495 + 1. assign V856763 = V844557 + 1. assign V400146 = V557016 - 1. assign V271463 = V957838 + 1. assign V541712 = V557016 - 1. assign V129100 = V691818 - 1. assign V506196 = V480380 - 1. assign V351403 = V065249 + 1. assign V459726 = V144919. assign V945545 = V589097 + 1. assign V872007 = V380006 - 1. assign V271246 = V462171 - 1. assign V095118 = V892064. assign V957217 = V465600 + 1. assign V388406 = V563831 - 1. assign V677128 = V797624. assign V723902 = V351403 - 1. assign V660521 = V718557. assign V187035 = V144919 + 1. assign V797624 = V526716. assign V655799 = V434853. assign V561110 = V307526 - 1. assign V968350 = V931609. assign V818905 = V177067 + 1. assign V029584 = V655799 + 1. assign V172021 = V801930. assign V125432 = V374259 - 1. assign V732426 = V670309. assign V844557 = V617162 - 1. assign V853637 = V695877. assign V743866 = V975222. assign V224373 = V448021 + 1. assign V488060 = V695877.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V435777 = V178209 + 1. assign V418378 = V125432. assign V702318 = V945545 + 1. assign V353289 = V864661. assign V158943 = V632201. assign V332801 = V390965. assign V351879 = V937919. assign V076660 = V351879. assign V765875 = V195244. assign V401649 = V418378. assign V896471 = V868975 - 1. assign V641916 = V144919 + 1. assign V868975 = V589097. assign V328888 = V561110 - 1. assign V962634 = V065249 + 1. assign V937919 = V526716. assign V448021 = V143524. assign V358506 = V797624 - 1. assign V998873 = V000605 + 1. assign V892064 = V526716. assign V494594 = V358506. assign V192118 = V065249 + 1. assign V380006 = V589097. assign V801930 = V664773 - 1. assign V718557 = V892064. assign V467555 = V155673. assign V670309 = V526716 + 1. assign V557686 = V834258 - 1. assign V935819 = V695877 - 1. assign V664773 = V892064 - 1. assign V801894 = V029584 + 1. assign V358679 = V663431. assign V991668 = V319810. assign V449065 = V776402 + 1. assign V402955 = V910768. assign V975222 = V307526. assign V776402 = V526716 - 1. assign V465600 = V641916 - 1. assign V581114 = V144919. assign V455324 = V323540 + 1. assign V270187 = V702318. assign V361170 = V418378 - 1. assign V564047 = V547054 - 1. assign V144919 = V892064 + 1. assign V448024 = V872007. assign V864661 = V664773. assign V747653 = V212100. assign V429987 = V589097 + 1. assign V396443 = V155673. assign V589097 = V526716 - 1. assign V913553 = V595901 - 1. assign V052167 = V448024 - 1. assign V490123 = V380006 - 1. assign V053572 = V120536 + 1. assign V209281 = V401649 + 1. assign V695877 = V353289 + 1. assign V927667 = V374259. assign V031480 = V418378. assign V751266 = V937919. assign V533690 = V718557 + 1. assign V775236 = V331878 - 1. assign V434853 = V396443. assign V195244 = V937919 - 1. assign V681906 = V937919 - 1. assign V678563 = V065249 - 1. assign V177067 = V207867 - 1. assign V523058 = V632201. assign V373455 = V792829. assign V323540 = V663495 - 1. assign V091266 = V418378. assign V319810 = V448021 + 1. assign V595901 = V945545 - 1. assign V178624 = V490123. assign V692698 = V589097. assign V307526 = V190282 - 1. assign V616771 = V351403 + 1. assign V625219 = V541712. assign V302715 = V323540. assign V405956 = V938543. assign V604168 = V388406 + 1. assign V663495 = V664773 - 1. assign V212100 = V195244. assign V755248 = V448021 + 1. assign V961657 = V550651 + 1. assign V617162 = V351879 + 1. assign V701198 = V998196. assign V547054 = V143524 + 1. assign V000605 = V892064. assign V638090 = V401649. assign V557016 = V945545 + 1. assign V957838 = V797624 + 1. assign V610813 = V116506. assign V834258 = V957838 + 1. assign V663431 = V361170 + 1. assign V881676 = V307526. assign V876399 = V400146. assign V942020 = V120536 + 1. assign V861950 = V776402 - 1. assign V998196 = V751266. assign V462171 = 5. assign V792829 = V783605. assign V710831 = V042649. assign V632201 = V670309 - 1. assign V526275 = V125432. assign V390965 = V125432 + 1. assign V120536 = V429987 - 1. assign V426785 = V403713 + 1. assign V563831 = V937919. assign V457489 = V178624. assign V931609 = V353289 + 1. assign V155673 = V125432 - 1. assign V938543 = V178209 + 1. assign V619182 = V029584 + 1. assign V178209 = V065249 - 1. assign V746900 = V691818. assign V152050 = V892064 + 1. assign V147036 = V270187 + 1. assign V331878 = V143524. assign V207867 = V351403 + 1. assign V627401 = V380006 + 1. assign V143524 = V589097. assign V550651 = V224373. assign V713207 = V818905 - 1. assign V526716 = V374259 + 1. assign V451935 = V302715. assign V442710 = V190282 + 1. assign V691818 = V152050. assign V116506 = V691818. assign V619785 = V195244 - 1. assign V743183 = V938543 + 1. assign V480380 = V660521 + 1. assign V065249 = V670309 - 1. assign V250667 = V374259 - 1. assign V042649 = V152050 + 1. assign V058652 = V065249. assign V190282 = V155673 + 1. assign V910768 = V152050 - 1. assign V225664 = V448021. assign V783605 = V718557 - 1. assign V403713 = V663495 + 1. assign V856763 = V844557 + 1. assign V400146 = V557016 - 1. assign V271463 = V957838 + 1. assign V541712 = V557016 - 1. assign V129100 = V691818 - 1. assign V506196 = V480380 - 1. assign V351403 = V065249 + 1. assign V459726 = V144919. assign V945545 = V589097 + 1. assign V872007 = V380006 - 1. assign V271246 = V462171 - 1. assign V095118 = V892064. assign V957217 = V465600 + 1. assign V388406 = V563831 - 1. assign V677128 = V797624. assign V723902 = V351403 - 1. assign V660521 = V718557. assign V187035 = V144919 + 1. assign V797624 = V526716. assign V655799 = V434853. assign V561110 = V307526 - 1. assign V968350 = V931609. assign V818905 = V177067 + 1. assign V029584 = V655799 + 1. assign V172021 = V801930. assign V125432 = V374259 - 1. assign V732426 = V670309. assign V844557 = V617162 - 1. assign V853637 = V695877. assign V743866 = V975222. assign V224373 = V448021 + 1. assign V488060 = V695877.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV462171 = 5;\n\nFrom these direct assignment(s), we have: \nV271246 = V462171 - 1 = 5 - 1 =4;\nNo other variables can be derived from V271246;\nNo other variables can be derived from V462171;\n\nNow we have done all the calculations. Derived variables are:\nV462171 = 5;\nV271246 = 4;\n\nNow we have finished this problem. ANSWER:\nV271246\n", "role": "assistant" } ]

[ "V186798", "V347725" ]

[ { "content": "<context>\nassign V162784 = V258179. assign V072548 = V480846 + 1. assign V096440 = V648083 - 1. assign V435461 = V954324. assign V270491 = V482226 + 1. assign V875711 = V648083 + 1. assign V910622 = V954019 + 1. assign V733470 = V597456. assign V574874 = V594255 - 1. assign V242720 = V478482 - 1. assign V424853 = V482226 - 1. assign V119187 = V467541. assign V626874 = V939774. assign V612149 = V096440 + 1. assign V286313 = V724353 - 1. assign V261991 = V117758 - 1. assign V918458 = V228613. assign V992298 = V467541. assign V308733 = V428012. assign V781845 = V576192. assign V954324 = V374461. assign V977602 = V402425 + 1. assign V404381 = V923708 + 1. assign V815177 = V012423 - 1. assign V923708 = V232892. assign V382530 = V881099 + 1. assign V541254 = V162784. assign V549771 = V201671. assign V317738 = V582832. assign V481826 = V648083 - 1. assign V245419 = V597456 + 1. assign V171652 = V383123 - 1. assign V573882 = V480846 - 1. assign V041207 = V232892. assign V954019 = V480846 - 1. assign V254202 = V190534 + 1. assign V492190 = V228613 - 1. assign V368568 = V383123 + 1. assign V480846 = V826407 + 1. assign V362085 = V435461 - 1. assign V347725 = V186798. assign V851330 = V394147 - 1. assign V126293 = V045568 - 1. assign V648083 = V258179. assign V257191 = V875711. assign V040026 = V325132 - 1. assign V955237 = V287110 + 1. assign V478136 = V846075 - 1. assign V287954 = V648083 - 1. assign V394785 = V528000 + 1. assign V659882 = V405467. assign V578195 = V576192 - 1. assign V172543 = V923708. assign V578992 = V648083 + 1. assign V100308 = V480846. assign V802428 = V043692 - 1. assign V074233 = V911372. assign V761679 = V815177 + 1. assign V045568 = V394147 - 1. assign V478482 = V117758 + 1. assign V998933 = V951372. assign V108416 = V875711. assign V821419 = V492190 + 1. assign V147887 = V245419 - 1. assign V005034 = V467541. assign V846075 = V478482 - 1. assign V951372 = V948103 + 1. assign V256530 = V597456 - 1. assign V911372 = V761679 + 1. assign V383123 = V287445. assign V302718 = V214362 + 1. assign V195397 = V142961 - 1. assign V227543 = V576192 + 1. assign V974218 = V992298. assign V820360 = V341279 + 1. assign V487266 = V948103. assign V827106 = V467541 - 1. assign V712311 = V117758. assign V594255 = V142961 + 1. assign V267001 = V594255 - 1. assign V516231 = V896901 - 1. assign V267632 = V012423. assign V335029 = V258179 - 1. assign V287445 = V228613 - 1. assign V394147 = V096440 + 1. assign V082758 = V875711 - 1. assign V576192 = V482226 - 1. assign V993976 = V480846. assign V605716 = V901735 - 1. assign V201671 = V481826 - 1. assign V428012 = V482226 - 1. assign V184968 = V965931 - 1. assign V819132 = V827106 - 1. assign V545941 = V597456 - 1. assign V820319 = V712311 + 1. assign V803819 = V478482 - 1. assign V948103 = V648083. assign V908738 = V267632 - 1. assign V214362 = V005034. assign V597456 = V648083. assign V006479 = V833052 + 1. assign V901735 = V228613 + 1. assign V528000 = V541254 - 1. assign V374461 = V012423 + 1. assign V652334 = V712311 + 1. assign V515213 = V923708 - 1. assign V299112 = V573882 + 1. assign V186798 = 0. assign V142961 = V258179 - 1. assign V353864 = V528000 - 1. assign V324203 = V896901 + 1. assign V184268 = V901735 - 1. assign V218543 = V184268 + 1. assign V849767 = V256530. assign V258179 = V228613 - 1. assign V486713 = V965931 + 1. assign V826407 = V495806. assign V881099 = V258179. assign V960025 = V449413 + 1. assign V783697 = V096440. assign V777761 = V162784 - 1. assign V405467 = V082758 + 1. assign V194837 = V449413 + 1. assign V701454 = V802428 + 1. assign V119195 = V072548 - 1. assign V072664 = V082758 + 1. assign V117758 = V258179. assign V350869 = V846075 - 1. assign V856389 = V652334. assign V232892 = V402425. assign V449413 = V948103 + 1. assign V676964 = V341279 + 1. assign V725992 = V287445 - 1. assign V744832 = V256530 - 1. assign V293295 = V598975 - 1. assign V688081 = V012423 - 1. assign V833052 = V341279 + 1. assign V175219 = V162784 - 1. assign V117372 = V712311 - 1. assign V495806 = V117758 - 1. assign V325132 = V481826 + 1. assign V467541 = V402425. assign V843827 = V467541. assign V724353 = V082758. assign V136310 = V402425 - 1. assign V832502 = V287954 - 1. assign V482226 = V287445 + 1. assign V665644 = V541254 + 1. assign V341279 = V482226. assign V787512 = V495806. assign V637472 = V605716. assign V965931 = V382530 + 1. assign V012423 = V117758 - 1. assign V939774 = V492190 + 1. assign V287110 = V951372 + 1. assign V665228 = V827106 + 1. assign V190534 = V402425 + 1. assign V715125 = V382530. assign V718199 = V826407 + 1. assign V896901 = V676964 - 1. assign V950937 = V428012. assign V360102 = V815177 - 1. assign V043692 = V142961 - 1. assign V598975 = V597456 + 1. assign V177732 = V257191 + 1. assign V469901 = V487266 - 1. assign V582832 = V117758 - 1. assign V527133 = V005034 + 1. assign V148353 = V833052 + 1. assign V402425 = V228613 + 1. assign V496874 = V918458 + 1. assign V848255 = V082758 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V162784 = V258179. assign V072548 = V480846 + 1. assign V096440 = V648083 - 1. assign V435461 = V954324. assign V270491 = V482226 + 1. assign V875711 = V648083 + 1. assign V910622 = V954019 + 1. assign V733470 = V597456. assign V574874 = V594255 - 1. assign V242720 = V478482 - 1. assign V424853 = V482226 - 1. assign V119187 = V467541. assign V626874 = V939774. assign V612149 = V096440 + 1. assign V286313 = V724353 - 1. assign V261991 = V117758 - 1. assign V918458 = V228613. assign V992298 = V467541. assign V308733 = V428012. assign V781845 = V576192. assign V954324 = V374461. assign V977602 = V402425 + 1. assign V404381 = V923708 + 1. assign V815177 = V012423 - 1. assign V923708 = V232892. assign V382530 = V881099 + 1. assign V541254 = V162784. assign V549771 = V201671. assign V317738 = V582832. assign V481826 = V648083 - 1. assign V245419 = V597456 + 1. assign V171652 = V383123 - 1. assign V573882 = V480846 - 1. assign V041207 = V232892. assign V954019 = V480846 - 1. assign V254202 = V190534 + 1. assign V492190 = V228613 - 1. assign V368568 = V383123 + 1. assign V480846 = V826407 + 1. assign V362085 = V435461 - 1. assign V347725 = V186798. assign V851330 = V394147 - 1. assign V126293 = V045568 - 1. assign V648083 = V258179. assign V257191 = V875711. assign V040026 = V325132 - 1. assign V955237 = V287110 + 1. assign V478136 = V846075 - 1. assign V287954 = V648083 - 1. assign V394785 = V528000 + 1. assign V659882 = V405467. assign V578195 = V576192 - 1. assign V172543 = V923708. assign V578992 = V648083 + 1. assign V100308 = V480846. assign V802428 = V043692 - 1. assign V074233 = V911372. assign V761679 = V815177 + 1. assign V045568 = V394147 - 1. assign V478482 = V117758 + 1. assign V998933 = V951372. assign V108416 = V875711. assign V821419 = V492190 + 1. assign V147887 = V245419 - 1. assign V005034 = V467541. assign V846075 = V478482 - 1. assign V951372 = V948103 + 1. assign V256530 = V597456 - 1. assign V911372 = V761679 + 1. assign V383123 = V287445. assign V302718 = V214362 + 1. assign V195397 = V142961 - 1. assign V227543 = V576192 + 1. assign V974218 = V992298. assign V820360 = V341279 + 1. assign V487266 = V948103. assign V827106 = V467541 - 1. assign V712311 = V117758. assign V594255 = V142961 + 1. assign V267001 = V594255 - 1. assign V516231 = V896901 - 1. assign V267632 = V012423. assign V335029 = V258179 - 1. assign V287445 = V228613 - 1. assign V394147 = V096440 + 1. assign V082758 = V875711 - 1. assign V576192 = V482226 - 1. assign V993976 = V480846. assign V605716 = V901735 - 1. assign V201671 = V481826 - 1. assign V428012 = V482226 - 1. assign V184968 = V965931 - 1. assign V819132 = V827106 - 1. assign V545941 = V597456 - 1. assign V820319 = V712311 + 1. assign V803819 = V478482 - 1. assign V948103 = V648083. assign V908738 = V267632 - 1. assign V214362 = V005034. assign V597456 = V648083. assign V006479 = V833052 + 1. assign V901735 = V228613 + 1. assign V528000 = V541254 - 1. assign V374461 = V012423 + 1. assign V652334 = V712311 + 1. assign V515213 = V923708 - 1. assign V299112 = V573882 + 1. assign V186798 = 0. assign V142961 = V258179 - 1. assign V353864 = V528000 - 1. assign V324203 = V896901 + 1. assign V184268 = V901735 - 1. assign V218543 = V184268 + 1. assign V849767 = V256530. assign V258179 = V228613 - 1. assign V486713 = V965931 + 1. assign V826407 = V495806. assign V881099 = V258179. assign V960025 = V449413 + 1. assign V783697 = V096440. assign V777761 = V162784 - 1. assign V405467 = V082758 + 1. assign V194837 = V449413 + 1. assign V701454 = V802428 + 1. assign V119195 = V072548 - 1. assign V072664 = V082758 + 1. assign V117758 = V258179. assign V350869 = V846075 - 1. assign V856389 = V652334. assign V232892 = V402425. assign V449413 = V948103 + 1. assign V676964 = V341279 + 1. assign V725992 = V287445 - 1. assign V744832 = V256530 - 1. assign V293295 = V598975 - 1. assign V688081 = V012423 - 1. assign V833052 = V341279 + 1. assign V175219 = V162784 - 1. assign V117372 = V712311 - 1. assign V495806 = V117758 - 1. assign V325132 = V481826 + 1. assign V467541 = V402425. assign V843827 = V467541. assign V724353 = V082758. assign V136310 = V402425 - 1. assign V832502 = V287954 - 1. assign V482226 = V287445 + 1. assign V665644 = V541254 + 1. assign V341279 = V482226. assign V787512 = V495806. assign V637472 = V605716. assign V965931 = V382530 + 1. assign V012423 = V117758 - 1. assign V939774 = V492190 + 1. assign V287110 = V951372 + 1. assign V665228 = V827106 + 1. assign V190534 = V402425 + 1. assign V715125 = V382530. assign V718199 = V826407 + 1. assign V896901 = V676964 - 1. assign V950937 = V428012. assign V360102 = V815177 - 1. assign V043692 = V142961 - 1. assign V598975 = V597456 + 1. assign V177732 = V257191 + 1. assign V469901 = V487266 - 1. assign V582832 = V117758 - 1. assign V527133 = V005034 + 1. assign V148353 = V833052 + 1. assign V402425 = V228613 + 1. assign V496874 = V918458 + 1. assign V848255 = V082758 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV186798 = 0;\n\nFrom these direct assignment(s), we have: \nV347725 = V186798 = 0;\nNo other variables can be derived from V347725;\nNo other variables can be derived from V186798;\n\nNow we have done all the calculations. Derived variables are:\nV186798 = 0;\nV347725 = 0;\n\nNow we have finished this problem. ANSWER:\nV186798, V347725\n", "role": "assistant" } ]

[ "V781118" ]

[ { "content": "<context>\nassign V707562 = V467852. assign V646850 = V302916. assign V021849 = V772260 + 1. assign V930188 = V604862 + 1. assign V763375 = V953881 - 1. assign V283261 = V626175. assign V836806 = V202793 - 1. assign V953881 = V295528 - 1. assign V786088 = V079268 - 1. assign V591938 = V283261 + 1. assign V384497 = V988122 + 1. assign V403069 = V412277 - 1. assign V575428 = V770904 + 1. assign V201792 = V206409 - 1. assign V636679 = V719216 - 1. assign V581194 = V954542 - 1. assign V339864 = V283261 - 1. assign V094435 = V615696. assign V684089 = V332107 - 1. assign V899677 = V602869 + 1. assign V550937 = V753582 + 1. assign V915484 = V775998 - 1. assign V604862 = V879183 - 1. assign V770511 = V456426. assign V349525 = V096620 - 1. assign V770558 = V775998. assign V499368 = V295528. assign V496979 = V283261. assign V821980 = V556936 + 1. assign V961704 = V339864 + 1. assign V879488 = V221085 - 1. assign V379990 = V954542 + 1. assign V775998 = V253594 - 1. assign V467852 = V964505 - 1. assign V083899 = V428906 + 1. assign V781118 = V062783 + 1. assign V743850 = V353389. assign V226919 = V070974. assign V623737 = V535613 + 1. assign V850398 = V719216 + 1. assign V210478 = V490366 - 1. assign V964505 = V379990. assign V048638 = V960349 - 1. assign V860382 = V353389 + 1. assign V598713 = V770558. assign V706595 = V983755. assign V781970 = V051379 + 1. assign V048136 = V079268. assign V602869 = V850398 + 1. assign V423551 = V719216 + 1. assign V562358 = V954542 + 1. assign V498952 = V753582 - 1. assign V583233 = V726210 - 1. assign V265339 = V149865 - 1. assign V770904 = V592493 + 1. assign V735251 = V562358 + 1. assign V712466 = V626175. assign V859678 = V051891. assign V626175 = V907219 + 1. assign V406144 = V660952 + 1. assign V608230 = V002572 - 1. assign V398903 = V051891. assign V328187 = V772260 - 1. assign V261914 = V628674 + 1. assign V855115 = V684089 + 1. assign V511283 = V907219 - 1. assign V751299 = V986604 - 1. assign V516537 = V684089. assign V701466 = V302916 - 1. assign V332107 = V953881. assign V593699 = V283261 - 1. assign V220345 = V149865 + 1. assign V140919 = V717351 + 1. assign V263544 = V658471. assign V587414 = V660952 - 1. assign V832559 = V961704 + 1. assign V028539 = V511283. assign V202793 = V353389 - 1. assign V412277 = V379990 - 1. assign V357923 = V862249. assign V579748 = V261177 - 1. assign V717351 = V781970. assign V754450 = V295528. assign V231670 = V206409 - 1. assign V779711 = V381658. assign V843097 = V763375. assign V302916 = V860382 + 1. assign V377534 = V587414 + 1. assign V206409 = V964505. assign V261177 = V658471 - 1. assign V050465 = V556936 + 1. assign V149865 = V719216 + 1. assign V494134 = V221085 + 1. assign V921071 = V602869. assign V325727 = V623737 + 1. assign V420605 = V265339 - 1. assign V046396 = V719216 - 1. assign V222119 = V366525 + 1. assign V330862 = V860382 - 1. assign V966368 = V048638 - 1. assign V366525 = V210478. assign V862249 = V860382 + 1. assign V754342 = V628674 + 1. assign V999467 = V753582. assign V580603 = V498952. assign V658471 = V210478 + 1. assign V892003 = V615696. assign V096620 = V328187 - 1. assign V378864 = V754450 - 1. assign V295528 = V242977 + 1. assign V676478 = V156155. assign V721255 = V428906 - 1. assign V640156 = V412277. assign V255977 = V310753. assign V293116 = V719216 - 1. assign V753582 = V379990 + 1. assign V879183 = V332107. assign V099410 = V379990 - 1. assign V220831 = V772260. assign V597449 = V261914 + 1. assign V986604 = V743850 + 1. assign V954542 = V295528 - 1. assign V221085 = V954542 - 1. assign V907219 = V772260. assign V252659 = V220345 - 1. assign V628674 = V646850 + 1. assign V273153 = V726210. assign V594294 = V550937 + 1. assign V428906 = V295528. assign V719216 = V353389 - 1. assign V883018 = V494134 + 1. assign V704605 = V379990. assign V062783 = 2. assign V726210 = V379990. assign V577919 = V403069 - 1. assign V070974 = V357923. assign V295235 = V754450. assign V002572 = V646850 - 1. assign V942104 = V719216 - 1. assign V623472 = V206409 + 1. assign V051379 = V328187 + 1. assign V738729 = V658471 + 1. assign V660952 = V302916 - 1. assign V227627 = V253594 + 1. assign V456426 = V021849 + 1. assign V749315 = V428906 - 1. assign V988122 = V096620. assign V381658 = V964505 - 1. assign V592493 = V302916. assign V850461 = V879183 + 1. assign V836890 = V726210 + 1. assign V461034 = V210478 + 1. assign V615696 = V986604 + 1. assign V253594 = V860382 - 1. assign V034714 = V302916. assign V156155 = V636679. assign V023351 = V273153 + 1. assign V939134 = V602869 + 1. assign V983755 = V490366. assign V079268 = V221085. assign V291708 = V986604 + 1. assign V960349 = V140919. assign V556936 = V646850 - 1. assign V535613 = V172529. assign V490366 = V332107. assign V578809 = V535613. assign V772260 = V242977 + 1. assign V310753 = V412277. assign V353389 = V772260 - 1. assign V051891 = V658471 - 1. assign V172529 = V242977 + 1. assign V663736 = V743850 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V707562 = V467852. assign V646850 = V302916. assign V021849 = V772260 + 1. assign V930188 = V604862 + 1. assign V763375 = V953881 - 1. assign V283261 = V626175. assign V836806 = V202793 - 1. assign V953881 = V295528 - 1. assign V786088 = V079268 - 1. assign V591938 = V283261 + 1. assign V384497 = V988122 + 1. assign V403069 = V412277 - 1. assign V575428 = V770904 + 1. assign V201792 = V206409 - 1. assign V636679 = V719216 - 1. assign V581194 = V954542 - 1. assign V339864 = V283261 - 1. assign V094435 = V615696. assign V684089 = V332107 - 1. assign V899677 = V602869 + 1. assign V550937 = V753582 + 1. assign V915484 = V775998 - 1. assign V604862 = V879183 - 1. assign V770511 = V456426. assign V349525 = V096620 - 1. assign V770558 = V775998. assign V499368 = V295528. assign V496979 = V283261. assign V821980 = V556936 + 1. assign V961704 = V339864 + 1. assign V879488 = V221085 - 1. assign V379990 = V954542 + 1. assign V775998 = V253594 - 1. assign V467852 = V964505 - 1. assign V083899 = V428906 + 1. assign V781118 = V062783 + 1. assign V743850 = V353389. assign V226919 = V070974. assign V623737 = V535613 + 1. assign V850398 = V719216 + 1. assign V210478 = V490366 - 1. assign V964505 = V379990. assign V048638 = V960349 - 1. assign V860382 = V353389 + 1. assign V598713 = V770558. assign V706595 = V983755. assign V781970 = V051379 + 1. assign V048136 = V079268. assign V602869 = V850398 + 1. assign V423551 = V719216 + 1. assign V562358 = V954542 + 1. assign V498952 = V753582 - 1. assign V583233 = V726210 - 1. assign V265339 = V149865 - 1. assign V770904 = V592493 + 1. assign V735251 = V562358 + 1. assign V712466 = V626175. assign V859678 = V051891. assign V626175 = V907219 + 1. assign V406144 = V660952 + 1. assign V608230 = V002572 - 1. assign V398903 = V051891. assign V328187 = V772260 - 1. assign V261914 = V628674 + 1. assign V855115 = V684089 + 1. assign V511283 = V907219 - 1. assign V751299 = V986604 - 1. assign V516537 = V684089. assign V701466 = V302916 - 1. assign V332107 = V953881. assign V593699 = V283261 - 1. assign V220345 = V149865 + 1. assign V140919 = V717351 + 1. assign V263544 = V658471. assign V587414 = V660952 - 1. assign V832559 = V961704 + 1. assign V028539 = V511283. assign V202793 = V353389 - 1. assign V412277 = V379990 - 1. assign V357923 = V862249. assign V579748 = V261177 - 1. assign V717351 = V781970. assign V754450 = V295528. assign V231670 = V206409 - 1. assign V779711 = V381658. assign V843097 = V763375. assign V302916 = V860382 + 1. assign V377534 = V587414 + 1. assign V206409 = V964505. assign V261177 = V658471 - 1. assign V050465 = V556936 + 1. assign V149865 = V719216 + 1. assign V494134 = V221085 + 1. assign V921071 = V602869. assign V325727 = V623737 + 1. assign V420605 = V265339 - 1. assign V046396 = V719216 - 1. assign V222119 = V366525 + 1. assign V330862 = V860382 - 1. assign V966368 = V048638 - 1. assign V366525 = V210478. assign V862249 = V860382 + 1. assign V754342 = V628674 + 1. assign V999467 = V753582. assign V580603 = V498952. assign V658471 = V210478 + 1. assign V892003 = V615696. assign V096620 = V328187 - 1. assign V378864 = V754450 - 1. assign V295528 = V242977 + 1. assign V676478 = V156155. assign V721255 = V428906 - 1. assign V640156 = V412277. assign V255977 = V310753. assign V293116 = V719216 - 1. assign V753582 = V379990 + 1. assign V879183 = V332107. assign V099410 = V379990 - 1. assign V220831 = V772260. assign V597449 = V261914 + 1. assign V986604 = V743850 + 1. assign V954542 = V295528 - 1. assign V221085 = V954542 - 1. assign V907219 = V772260. assign V252659 = V220345 - 1. assign V628674 = V646850 + 1. assign V273153 = V726210. assign V594294 = V550937 + 1. assign V428906 = V295528. assign V719216 = V353389 - 1. assign V883018 = V494134 + 1. assign V704605 = V379990. assign V062783 = 2. assign V726210 = V379990. assign V577919 = V403069 - 1. assign V070974 = V357923. assign V295235 = V754450. assign V002572 = V646850 - 1. assign V942104 = V719216 - 1. assign V623472 = V206409 + 1. assign V051379 = V328187 + 1. assign V738729 = V658471 + 1. assign V660952 = V302916 - 1. assign V227627 = V253594 + 1. assign V456426 = V021849 + 1. assign V749315 = V428906 - 1. assign V988122 = V096620. assign V381658 = V964505 - 1. assign V592493 = V302916. assign V850461 = V879183 + 1. assign V836890 = V726210 + 1. assign V461034 = V210478 + 1. assign V615696 = V986604 + 1. assign V253594 = V860382 - 1. assign V034714 = V302916. assign V156155 = V636679. assign V023351 = V273153 + 1. assign V939134 = V602869 + 1. assign V983755 = V490366. assign V079268 = V221085. assign V291708 = V986604 + 1. assign V960349 = V140919. assign V556936 = V646850 - 1. assign V535613 = V172529. assign V490366 = V332107. assign V578809 = V535613. assign V772260 = V242977 + 1. assign V310753 = V412277. assign V353389 = V772260 - 1. assign V051891 = V658471 - 1. assign V172529 = V242977 + 1. assign V663736 = V743850 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV062783 = 2;\n\nFrom these direct assignment(s), we have: \nV781118 = V062783 + 1 = 2 + 1 =3;\nNo other variables can be derived from V781118;\nNo other variables can be derived from V062783;\n\nNow we have done all the calculations. Derived variables are:\nV062783 = 2;\nV781118 = 3;\n\nNow we have finished this problem. ANSWER:\nV781118\n", "role": "assistant" } ]

[ "V822460" ]

[ { "content": "<context>\nassign V013190 = V708663 + 1. assign V421769 = V175342 - 1. assign V512217 = V555510. assign V869912 = V325164 - 1. assign V990446 = V013170 - 1. assign V684080 = V539310 + 1. assign V310451 = V880584 + 1. assign V373488 = V099370 + 1. assign V973693 = V807748. assign V875240 = V494235 + 1. assign V404123 = V807748. assign V003359 = V051317. assign V725899 = V325164 + 1. assign V711399 = V512217 + 1. assign V496326 = V953313 + 1. assign V690140 = V404123 - 1. assign V559333 = V871750 + 1. assign V013274 = V869912 - 1. assign V747771 = V539310. assign V482954 = V003359 - 1. assign V433524 = V673379. assign V352155 = V714763. assign V989892 = V013170 + 1. assign V281088 = V752051 - 1. assign V375356 = V880584. assign V155149 = V066772. assign V525371 = V512217 + 1. assign V113707 = V615668 + 1. assign V980296 = V462660. assign V042723 = V953313 - 1. assign V846778 = V448714 + 1. assign V013170 = V639892 + 1. assign V739052 = V898214 + 1. assign V492075 = V176698 + 1. assign V530459 = V158208. assign V004911 = V373488 - 1. assign V611747 = V714763 + 1. assign V203333 = V352155 - 1. assign V523143 = V252384 + 1. assign V695114 = V165689. assign V874986 = V004911 + 1. assign V675112 = 2. assign V536115 = V880584 + 1. assign V533913 = V953313 + 1. assign V713390 = V512217 - 1. assign V476823 = V176698 + 1. assign V918639 = V898214. assign V854082 = V325164. assign V008759 = V556756. assign V576284 = V479319. assign V772357 = V807813 - 1. assign V903972 = V678259. assign V089308 = V504249 + 1. assign V752051 = V404123. assign V325164 = V777357 + 1. assign V030649 = V650210 - 1. assign V002227 = V176842. assign V568728 = V905314 - 1. assign V176842 = V777357 + 1. assign V699856 = V462660 - 1. assign V530387 = V533913 - 1. assign V462660 = V176698. assign V181917 = V807748. assign V610983 = V607961 - 1. assign V218433 = V854082 - 1. assign V066772 = V555510 - 1. assign V128918 = V639892. assign V871750 = V533913. assign V909797 = V639892 + 1. assign V165689 = V807748. assign V610268 = V976634. assign V673379 = V002227 - 1. assign V051317 = V176842 - 1. assign V504249 = V639892 + 1. assign V991584 = V167688. assign V279914 = V437921 - 1. assign V252475 = V533913 - 1. assign V326453 = V349680 + 1. assign V794580 = V610268 + 1. assign V139427 = V176698 + 1. assign V905967 = V494235 - 1. assign V437921 = V777357 + 1. assign V274714 = V946821 + 1. assign V639892 = V448714 - 1. assign V252384 = V175342 - 1. assign V264754 = V252475. assign V946821 = V448714 + 1. assign V548904 = V535851 + 1. assign V712776 = V777357 - 1. assign V142713 = V713390 + 1. assign V096760 = V989892. assign V494235 = V514636 + 1. assign V263201 = V869912 - 1. assign V802409 = V448714 - 1. assign V615668 = V494235 + 1. assign V898214 = V678259. assign V607961 = V462660 - 1. assign V796775 = V530387 - 1. assign V539310 = V512217. assign V075054 = V611747. assign V091832 = V021158. assign V246816 = V468884. assign V833644 = V014624 + 1. assign V069785 = V176698 + 1. assign V552762 = V539310 - 1. assign V498828 = V492075. assign V822460 = V675112 + 1. assign V158208 = V701747. assign V807748 = V176842 + 1. assign V650210 = V497942. assign V137290 = V176842. assign V947803 = V880584. assign V713384 = V871750 + 1. assign V976634 = V607961 + 1. assign V608646 = V476823. assign V708663 = V909797 - 1. assign V403730 = V641498 + 1. assign V701747 = V051317 - 1. assign V244850 = V072926 - 1. assign V885691 = V898214 + 1. assign V176698 = V176842 - 1. assign V175342 = V013274 - 1. assign V535851 = V072926 - 1. assign V573623 = V535851 + 1. assign V807813 = V072926 + 1. assign V714763 = V137290 - 1. assign V468884 = V274714 + 1. assign V164389 = V607961 - 1. assign V349680 = V462660 - 1. assign V243852 = V514636 - 1. assign V611820 = V175342 + 1. assign V566922 = V973693 - 1. assign V921273 = V555510 + 1. assign V167688 = V678259 - 1. assign V953313 = V512217 + 1. assign V980100 = V639892 - 1. assign V833743 = V777364. assign V161744 = V497942. assign V072926 = V066772. assign V953995 = V264754 + 1. assign V021158 = V875240 - 1. assign V777364 = V003359 - 1. assign V091691 = V504249 + 1. assign V514636 = V492075 + 1. assign V912716 = V069785. assign V490319 = V051317 + 1. assign V880584 = V953313 + 1. assign V188599 = V326453. assign V302209 = V375356 - 1. assign V556756 = V639892 - 1. assign V678259 = V953313. assign V905314 = V066772. assign V223487 = V869912 - 1. assign V746477 = V552762 - 1. assign V298175 = V533913. assign V448714 = V176842. assign V098615 = V175342 + 1. assign V957079 = V164389 + 1. assign V534710 = V615668 - 1. assign V641498 = V498828 - 1. assign V246638 = V137290. assign V479764 = V004911. assign V328469 = V223487. assign V014624 = V223487 + 1. assign V738698 = V274714 - 1. assign V555510 = V777357 - 1. assign V909390 = V252475 - 1. assign V497942 = V539310. assign V567373 = V164389. assign V099370 = V555510 + 1. assign V944629 = V512217 + 1. assign V479319 = V298175 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V013190 = V708663 + 1. assign V421769 = V175342 - 1. assign V512217 = V555510. assign V869912 = V325164 - 1. assign V990446 = V013170 - 1. assign V684080 = V539310 + 1. assign V310451 = V880584 + 1. assign V373488 = V099370 + 1. assign V973693 = V807748. assign V875240 = V494235 + 1. assign V404123 = V807748. assign V003359 = V051317. assign V725899 = V325164 + 1. assign V711399 = V512217 + 1. assign V496326 = V953313 + 1. assign V690140 = V404123 - 1. assign V559333 = V871750 + 1. assign V013274 = V869912 - 1. assign V747771 = V539310. assign V482954 = V003359 - 1. assign V433524 = V673379. assign V352155 = V714763. assign V989892 = V013170 + 1. assign V281088 = V752051 - 1. assign V375356 = V880584. assign V155149 = V066772. assign V525371 = V512217 + 1. assign V113707 = V615668 + 1. assign V980296 = V462660. assign V042723 = V953313 - 1. assign V846778 = V448714 + 1. assign V013170 = V639892 + 1. assign V739052 = V898214 + 1. assign V492075 = V176698 + 1. assign V530459 = V158208. assign V004911 = V373488 - 1. assign V611747 = V714763 + 1. assign V203333 = V352155 - 1. assign V523143 = V252384 + 1. assign V695114 = V165689. assign V874986 = V004911 + 1. assign V675112 = 2. assign V536115 = V880584 + 1. assign V533913 = V953313 + 1. assign V713390 = V512217 - 1. assign V476823 = V176698 + 1. assign V918639 = V898214. assign V854082 = V325164. assign V008759 = V556756. assign V576284 = V479319. assign V772357 = V807813 - 1. assign V903972 = V678259. assign V089308 = V504249 + 1. assign V752051 = V404123. assign V325164 = V777357 + 1. assign V030649 = V650210 - 1. assign V002227 = V176842. assign V568728 = V905314 - 1. assign V176842 = V777357 + 1. assign V699856 = V462660 - 1. assign V530387 = V533913 - 1. assign V462660 = V176698. assign V181917 = V807748. assign V610983 = V607961 - 1. assign V218433 = V854082 - 1. assign V066772 = V555510 - 1. assign V128918 = V639892. assign V871750 = V533913. assign V909797 = V639892 + 1. assign V165689 = V807748. assign V610268 = V976634. assign V673379 = V002227 - 1. assign V051317 = V176842 - 1. assign V504249 = V639892 + 1. assign V991584 = V167688. assign V279914 = V437921 - 1. assign V252475 = V533913 - 1. assign V326453 = V349680 + 1. assign V794580 = V610268 + 1. assign V139427 = V176698 + 1. assign V905967 = V494235 - 1. assign V437921 = V777357 + 1. assign V274714 = V946821 + 1. assign V639892 = V448714 - 1. assign V252384 = V175342 - 1. assign V264754 = V252475. assign V946821 = V448714 + 1. assign V548904 = V535851 + 1. assign V712776 = V777357 - 1. assign V142713 = V713390 + 1. assign V096760 = V989892. assign V494235 = V514636 + 1. assign V263201 = V869912 - 1. assign V802409 = V448714 - 1. assign V615668 = V494235 + 1. assign V898214 = V678259. assign V607961 = V462660 - 1. assign V796775 = V530387 - 1. assign V539310 = V512217. assign V075054 = V611747. assign V091832 = V021158. assign V246816 = V468884. assign V833644 = V014624 + 1. assign V069785 = V176698 + 1. assign V552762 = V539310 - 1. assign V498828 = V492075. assign V822460 = V675112 + 1. assign V158208 = V701747. assign V807748 = V176842 + 1. assign V650210 = V497942. assign V137290 = V176842. assign V947803 = V880584. assign V713384 = V871750 + 1. assign V976634 = V607961 + 1. assign V608646 = V476823. assign V708663 = V909797 - 1. assign V403730 = V641498 + 1. assign V701747 = V051317 - 1. assign V244850 = V072926 - 1. assign V885691 = V898214 + 1. assign V176698 = V176842 - 1. assign V175342 = V013274 - 1. assign V535851 = V072926 - 1. assign V573623 = V535851 + 1. assign V807813 = V072926 + 1. assign V714763 = V137290 - 1. assign V468884 = V274714 + 1. assign V164389 = V607961 - 1. assign V349680 = V462660 - 1. assign V243852 = V514636 - 1. assign V611820 = V175342 + 1. assign V566922 = V973693 - 1. assign V921273 = V555510 + 1. assign V167688 = V678259 - 1. assign V953313 = V512217 + 1. assign V980100 = V639892 - 1. assign V833743 = V777364. assign V161744 = V497942. assign V072926 = V066772. assign V953995 = V264754 + 1. assign V021158 = V875240 - 1. assign V777364 = V003359 - 1. assign V091691 = V504249 + 1. assign V514636 = V492075 + 1. assign V912716 = V069785. assign V490319 = V051317 + 1. assign V880584 = V953313 + 1. assign V188599 = V326453. assign V302209 = V375356 - 1. assign V556756 = V639892 - 1. assign V678259 = V953313. assign V905314 = V066772. assign V223487 = V869912 - 1. assign V746477 = V552762 - 1. assign V298175 = V533913. assign V448714 = V176842. assign V098615 = V175342 + 1. assign V957079 = V164389 + 1. assign V534710 = V615668 - 1. assign V641498 = V498828 - 1. assign V246638 = V137290. assign V479764 = V004911. assign V328469 = V223487. assign V014624 = V223487 + 1. assign V738698 = V274714 - 1. assign V555510 = V777357 - 1. assign V909390 = V252475 - 1. assign V497942 = V539310. assign V567373 = V164389. assign V099370 = V555510 + 1. assign V944629 = V512217 + 1. assign V479319 = V298175 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV675112 = 2;\n\nFrom these direct assignment(s), we have: \nV822460 = V675112 + 1 = 2 + 1 =3;\nNo other variables can be derived from V822460;\nNo other variables can be derived from V675112;\n\nNow we have done all the calculations. Derived variables are:\nV675112 = 2;\nV822460 = 3;\n\nNow we have finished this problem. ANSWER:\nV822460\n", "role": "assistant" } ]

[ "V517073" ]

[ { "content": "<context>\nassign V350589 = V789880. assign V600375 = V766960. assign V529273 = V185373. assign V663039 = V148543 + 1. assign V325457 = V709824 + 1. assign V112588 = V519624 + 1. assign V130109 = V056288 + 1. assign V709824 = V695765 - 1. assign V141804 = V324331 - 1. assign V789880 = V791626 - 1. assign V063012 = V562409 + 1. assign V615134 = V498964 - 1. assign V080496 = V067548 - 1. assign V812290 = V112588 + 1. assign V823869 = V519624 - 1. assign V109961 = V687173 - 1. assign V492927 = V045223. assign V405934 = V358577 - 1. assign V119406 = V035869. assign V997199 = V439914 + 1. assign V067548 = V215995 - 1. assign V633584 = V658834 + 1. assign V976780 = V707870 - 1. assign V528210 = V709824 + 1. assign V886737 = V729258 + 1. assign V990238 = V958390. assign V507356 = V325457. assign V241489 = V931019. assign V782144 = V539476 + 1. assign V657996 = V196621. assign V966493 = V325457. assign V734179 = V065620 + 1. assign V810735 = V789880 - 1. assign V539375 = V572005 + 1. assign V733096 = V500423 - 1. assign V791279 = V539476. assign V838026 = V215995. assign V135599 = V826254 - 1. assign V185373 = V791626 - 1. assign V139332 = V220067 + 1. assign V695765 = V789880. assign V144868 = V454300 - 1. assign V657227 = V232322 - 1. assign V709252 = V232322 - 1. assign V539476 = V500423 - 1. assign V562409 = V964395. assign V769745 = V633584 - 1. assign V511453 = 8. assign V228587 = V709824. assign V634721 = V350589 + 1. assign V166618 = V535244 - 1. assign V196621 = V820178. assign V786099 = V232322 + 1. assign V758601 = V729258. assign V919603 = V535244 - 1. assign V742449 = V188551 - 1. assign V695503 = V398610 - 1. assign V640224 = V232322 + 1. assign V980570 = V066547. assign V274249 = V884431 - 1. assign V061482 = V853771 - 1. assign V115141 = V061482 + 1. assign V269664 = V439914. assign V885273 = V687249 - 1. assign V252443 = V148543 + 1. assign V027213 = V572005 + 1. assign V638553 = V056288 + 1. assign V992239 = V791279 - 1. assign V454300 = V500423 + 1. assign V956597 = V707870. assign V275934 = V709252. assign V398610 = V325457 - 1. assign V828995 = V157131 + 1. assign V967541 = V865036. assign V811773 = V658834 + 1. assign V065620 = V350589. assign V271251 = V283424 - 1. assign V260768 = V386398 - 1. assign V035869 = V709252 + 1. assign V361100 = V066547. assign V964395 = V500423 + 1. assign V499708 = V061482 + 1. assign V853771 = V657227 + 1. assign V891073 = V758601. assign V283424 = V640224 + 1. assign V716000 = V350589 - 1. assign V721859 = V811773 + 1. assign V154008 = V348863. assign V400077 = V640224 + 1. assign V729258 = V854432 + 1. assign V687173 = V047528. assign V535244 = V789880 + 1. assign V105008 = V687173 + 1. assign V337089 = V061482 - 1. assign V663882 = V555469 + 1. assign V883793 = V707870 + 1. assign V157131 = V716000 + 1. assign V439914 = V500423 + 1. assign V564669 = V241489. assign V498964 = V084340 + 1. assign V826139 = V220067 - 1. assign V209670 = V185373. assign V200574 = V346083. assign V047528 = V215995 - 1. assign V407765 = V119406 - 1. assign V115212 = V535244. assign V884431 = V972032 + 1. assign V572005 = V789880 + 1. assign V972032 = V386398 - 1. assign V058621 = V658834 + 1. assign V045223 = V346083. assign V056288 = V135599 - 1. assign V358577 = V500423. assign V348863 = V157131. assign V243930 = V663882 + 1. assign V148543 = V188551 + 1. assign V243792 = V997199 + 1. assign V943548 = V243930. assign V066547 = V215995. assign V707870 = V188551 - 1. assign V827792 = V658834 + 1. assign V519624 = V955830 + 1. assign V346083 = V820178 + 1. assign V658834 = V324331. assign V424595 = V500423 + 1. assign V141533 = V956597. assign V215995 = V386398 - 1. assign V083765 = V507356. assign V854432 = V820178 + 1. assign V766960 = V439914 + 1. assign V357058 = V241489. assign V924057 = V047528 - 1. assign V061470 = V789880 + 1. assign V958390 = V220067 + 1. assign V927858 = V514784 - 1. assign V791626 = V324331 + 1. assign V220067 = V560120 + 1. assign V084340 = V350589 - 1. assign V889043 = V035869 - 1. assign V628775 = V812290 + 1. assign V865036 = V955830 + 1. assign V127398 = V716000 - 1. assign V324331 = V386398 + 1. assign V514784 = V854432. assign V560120 = V826254 - 1. assign V888181 = V764564. assign V186513 = V853771 + 1. assign V607595 = V786099 + 1. assign V942938 = V105008 - 1. assign V063252 = V454300. assign V517073 = V511453 + 1. assign V216590 = V758601. assign V500423 = V791626 - 1. assign V386398 = V232322. assign V820178 = V786099 - 1. assign V715156 = V769745 - 1. assign V955830 = V695765. assign V764564 = V742449 - 1. assign V028925 = V967541. assign V284137 = V141804. assign V253280 = V560120 + 1. assign V188551 = V232322 + 1. assign V555469 = V786099 - 1. assign V649303 = V507356. assign V029786 = V324331. assign V898633 = V063252. assign V931019 = V185373. assign V826254 = V791626 + 1. assign V411936 = V400077 - 1. assign V547492 = V539476 - 1. assign V687249 = V066547 - 1. assign V259684 = V560120.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V350589 = V789880. assign V600375 = V766960. assign V529273 = V185373. assign V663039 = V148543 + 1. assign V325457 = V709824 + 1. assign V112588 = V519624 + 1. assign V130109 = V056288 + 1. assign V709824 = V695765 - 1. assign V141804 = V324331 - 1. assign V789880 = V791626 - 1. assign V063012 = V562409 + 1. assign V615134 = V498964 - 1. assign V080496 = V067548 - 1. assign V812290 = V112588 + 1. assign V823869 = V519624 - 1. assign V109961 = V687173 - 1. assign V492927 = V045223. assign V405934 = V358577 - 1. assign V119406 = V035869. assign V997199 = V439914 + 1. assign V067548 = V215995 - 1. assign V633584 = V658834 + 1. assign V976780 = V707870 - 1. assign V528210 = V709824 + 1. assign V886737 = V729258 + 1. assign V990238 = V958390. assign V507356 = V325457. assign V241489 = V931019. assign V782144 = V539476 + 1. assign V657996 = V196621. assign V966493 = V325457. assign V734179 = V065620 + 1. assign V810735 = V789880 - 1. assign V539375 = V572005 + 1. assign V733096 = V500423 - 1. assign V791279 = V539476. assign V838026 = V215995. assign V135599 = V826254 - 1. assign V185373 = V791626 - 1. assign V139332 = V220067 + 1. assign V695765 = V789880. assign V144868 = V454300 - 1. assign V657227 = V232322 - 1. assign V709252 = V232322 - 1. assign V539476 = V500423 - 1. assign V562409 = V964395. assign V769745 = V633584 - 1. assign V511453 = 8. assign V228587 = V709824. assign V634721 = V350589 + 1. assign V166618 = V535244 - 1. assign V196621 = V820178. assign V786099 = V232322 + 1. assign V758601 = V729258. assign V919603 = V535244 - 1. assign V742449 = V188551 - 1. assign V695503 = V398610 - 1. assign V640224 = V232322 + 1. assign V980570 = V066547. assign V274249 = V884431 - 1. assign V061482 = V853771 - 1. assign V115141 = V061482 + 1. assign V269664 = V439914. assign V885273 = V687249 - 1. assign V252443 = V148543 + 1. assign V027213 = V572005 + 1. assign V638553 = V056288 + 1. assign V992239 = V791279 - 1. assign V454300 = V500423 + 1. assign V956597 = V707870. assign V275934 = V709252. assign V398610 = V325457 - 1. assign V828995 = V157131 + 1. assign V967541 = V865036. assign V811773 = V658834 + 1. assign V065620 = V350589. assign V271251 = V283424 - 1. assign V260768 = V386398 - 1. assign V035869 = V709252 + 1. assign V361100 = V066547. assign V964395 = V500423 + 1. assign V499708 = V061482 + 1. assign V853771 = V657227 + 1. assign V891073 = V758601. assign V283424 = V640224 + 1. assign V716000 = V350589 - 1. assign V721859 = V811773 + 1. assign V154008 = V348863. assign V400077 = V640224 + 1. assign V729258 = V854432 + 1. assign V687173 = V047528. assign V535244 = V789880 + 1. assign V105008 = V687173 + 1. assign V337089 = V061482 - 1. assign V663882 = V555469 + 1. assign V883793 = V707870 + 1. assign V157131 = V716000 + 1. assign V439914 = V500423 + 1. assign V564669 = V241489. assign V498964 = V084340 + 1. assign V826139 = V220067 - 1. assign V209670 = V185373. assign V200574 = V346083. assign V047528 = V215995 - 1. assign V407765 = V119406 - 1. assign V115212 = V535244. assign V884431 = V972032 + 1. assign V572005 = V789880 + 1. assign V972032 = V386398 - 1. assign V058621 = V658834 + 1. assign V045223 = V346083. assign V056288 = V135599 - 1. assign V358577 = V500423. assign V348863 = V157131. assign V243930 = V663882 + 1. assign V148543 = V188551 + 1. assign V243792 = V997199 + 1. assign V943548 = V243930. assign V066547 = V215995. assign V707870 = V188551 - 1. assign V827792 = V658834 + 1. assign V519624 = V955830 + 1. assign V346083 = V820178 + 1. assign V658834 = V324331. assign V424595 = V500423 + 1. assign V141533 = V956597. assign V215995 = V386398 - 1. assign V083765 = V507356. assign V854432 = V820178 + 1. assign V766960 = V439914 + 1. assign V357058 = V241489. assign V924057 = V047528 - 1. assign V061470 = V789880 + 1. assign V958390 = V220067 + 1. assign V927858 = V514784 - 1. assign V791626 = V324331 + 1. assign V220067 = V560120 + 1. assign V084340 = V350589 - 1. assign V889043 = V035869 - 1. assign V628775 = V812290 + 1. assign V865036 = V955830 + 1. assign V127398 = V716000 - 1. assign V324331 = V386398 + 1. assign V514784 = V854432. assign V560120 = V826254 - 1. assign V888181 = V764564. assign V186513 = V853771 + 1. assign V607595 = V786099 + 1. assign V942938 = V105008 - 1. assign V063252 = V454300. assign V517073 = V511453 + 1. assign V216590 = V758601. assign V500423 = V791626 - 1. assign V386398 = V232322. assign V820178 = V786099 - 1. assign V715156 = V769745 - 1. assign V955830 = V695765. assign V764564 = V742449 - 1. assign V028925 = V967541. assign V284137 = V141804. assign V253280 = V560120 + 1. assign V188551 = V232322 + 1. assign V555469 = V786099 - 1. assign V649303 = V507356. assign V029786 = V324331. assign V898633 = V063252. assign V931019 = V185373. assign V826254 = V791626 + 1. assign V411936 = V400077 - 1. assign V547492 = V539476 - 1. assign V687249 = V066547 - 1. assign V259684 = V560120.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV511453 = 8;\n\nFrom these direct assignment(s), we have: \nV517073 = V511453 + 1 = 8 + 1 =9;\nNo other variables can be derived from V517073;\nNo other variables can be derived from V511453;\n\nNow we have done all the calculations. Derived variables are:\nV511453 = 8;\nV517073 = 9;\n\nNow we have finished this problem. ANSWER:\nV517073\n", "role": "assistant" } ]

[ "V044535", "V937467" ]

[ { "content": "<context>\nassign V262290 = V719717 - 1. assign V310360 = V622766 + 1. assign V194836 = V437113 - 1. assign V128891 = V373679. assign V644909 = V449931 - 1. assign V689165 = V417903 - 1. assign V428614 = V587983 + 1. assign V318015 = V241959. assign V030798 = V997779 + 1. assign V427506 = V310360. assign V084143 = V885513 - 1. assign V026581 = V122685. assign V963405 = V815939 + 1. assign V570106 = V935332 - 1. assign V425358 = V780009 + 1. assign V356447 = V085361. assign V456602 = V553102. assign V501697 = V553899 - 1. assign V522267 = V310360 + 1. assign V158499 = V122685. assign V392891 = V332806. assign V813992 = V123575 + 1. assign V250147 = V133165. assign V738025 = V502773 - 1. assign V937467 = V044535. assign V055370 = V289431 - 1. assign V447551 = V077619 + 1. assign V417903 = V719717. assign V289431 = V997779 + 1. assign V127328 = V611828 - 1. assign V549952 = V300125 + 1. assign V618971 = V344385. assign V905213 = V522267 - 1. assign V044535 = 8. assign V594003 = V437113 - 1. assign V373679 = V719717 + 1. assign V363031 = V300125 + 1. assign V944756 = V553102. assign V611828 = V268669 - 1. assign V077619 = V316535. assign V170559 = V851076. assign V910733 = V316535 - 1. assign V248574 = V071460 - 1. assign V882772 = V622766. assign V935332 = V268669 + 1. assign V735179 = V718137 + 1. assign V745243 = V344975. assign V521694 = V910733 + 1. assign V898440 = V379349 + 1. assign V392865 = V318015 + 1. assign V649008 = V804825. assign V627060 = V108809 + 1. assign V399465 = V804315 - 1. assign V129436 = V332738 + 1. assign V718137 = V241959 - 1. assign V629257 = V621368 + 1. assign V832845 = V427506 + 1. assign V391739 = V832845 + 1. assign V449931 = V379349 - 1. assign V595487 = V318015 - 1. assign V379019 = V006673 - 1. assign V556385 = V310360. assign V514488 = V611828 + 1. assign V780009 = V887856. assign V731968 = V332806 - 1. assign V300125 = V122685 + 1. assign V753996 = V704057 - 1. assign V379349 = V587983 - 1. assign V882481 = V318015 - 1. assign V818062 = V731968. assign V621372 = V151526 - 1. assign V533427 = V122685. assign V804825 = V427506 - 1. assign V490970 = V373679 + 1. assign V808441 = V332806 - 1. assign V299719 = V651185. assign V997779 = V622766. assign V291187 = V417903. assign V684763 = V379019 - 1. assign V704057 = V553102 - 1. assign V065314 = V731968 + 1. assign V085361 = V719717 + 1. assign V829027 = V879897. assign V473939 = V874883. assign V003445 = V932975 - 1. assign V542036 = V932975. assign V031625 = V244863 - 1. assign V925828 = V006673. assign V733577 = V719717. assign V336380 = V151526 - 1. assign V015911 = V935332 - 1. assign V587983 = V241959 - 1. assign V183171 = V568372 + 1. assign V332806 = V379349 + 1. assign V822674 = V622766 - 1. assign V715573 = V587763 + 1. assign V743085 = V103128 + 1. assign V380529 = V659454. assign V133165 = V085361 + 1. assign V719717 = V241959 + 1. assign V851076 = V502773. assign V874883 = V622766 - 1. assign V382716 = V417903 - 1. assign V502773 = V935332 - 1. assign V568372 = V879897 - 1. assign V344975 = V300125 + 1. assign V123575 = V262290 - 1. assign V643667 = V622766 + 1. assign V559343 = V336380 + 1. assign V636476 = V718137. assign V268669 = V244863 - 1. assign V744059 = V743085 - 1. assign V932975 = V316535. assign V442661 = V622766. assign V553899 = V874883 + 1. assign V860746 = V151245 - 1. assign V983600 = V055370 - 1. assign V151245 = V521694. assign V070432 = V815939. assign V868428 = V719717 - 1. assign V254538 = V643667 - 1. assign V622766 = V417903 + 1. assign V887514 = V085361 + 1. assign V472891 = V256021 - 1. assign V071693 = V745243 - 1. assign V195033 = V451946. assign V137951 = V071460 + 1. assign V785805 = V882481 - 1. assign V979368 = V611828 + 1. assign V006673 = V719717 - 1. assign V071460 = V542036 - 1. assign V760368 = V268669. assign V552602 = V568372 + 1. assign V451946 = V905213 - 1. assign V339945 = V449931. assign V156536 = V553102. assign V905776 = V133165 + 1. assign V659454 = V882481 + 1. assign V256021 = V745243 + 1. assign V714515 = V780009. assign V887856 = V310360 - 1. assign V587763 = V268669. assign V130992 = V656657 - 1. assign V945144 = V587983. assign V316535 = V417903. assign V340969 = V718137. assign V024023 = V344975. assign V553102 = V719717. assign V617564 = V514488 + 1. assign V001169 = V935332. assign V879897 = V122685 + 1. assign V103128 = V122685 - 1. assign V344385 = V944756 - 1. assign V804315 = V818062 - 1. assign V937182 = V804825. assign V151526 = V643667 - 1. assign V621368 = V340969 - 1. assign V437113 = V241959 - 1. assign V702835 = V006673 + 1. assign V885513 = V887856 - 1. assign V645130 = V442661 + 1. assign V380926 = V391739 + 1. assign V122685 = V417903 + 1. assign V108809 = V874883 - 1. assign V244863 = V183171 - 1. assign V815939 = V874883 + 1. assign V656657 = V556385. assign V651185 = V137951. assign V492913 = V621368 - 1. assign V221073 = V183171 + 1. assign V332738 = V344385 + 1. assign V477794 = V332806.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V262290 = V719717 - 1. assign V310360 = V622766 + 1. assign V194836 = V437113 - 1. assign V128891 = V373679. assign V644909 = V449931 - 1. assign V689165 = V417903 - 1. assign V428614 = V587983 + 1. assign V318015 = V241959. assign V030798 = V997779 + 1. assign V427506 = V310360. assign V084143 = V885513 - 1. assign V026581 = V122685. assign V963405 = V815939 + 1. assign V570106 = V935332 - 1. assign V425358 = V780009 + 1. assign V356447 = V085361. assign V456602 = V553102. assign V501697 = V553899 - 1. assign V522267 = V310360 + 1. assign V158499 = V122685. assign V392891 = V332806. assign V813992 = V123575 + 1. assign V250147 = V133165. assign V738025 = V502773 - 1. assign V937467 = V044535. assign V055370 = V289431 - 1. assign V447551 = V077619 + 1. assign V417903 = V719717. assign V289431 = V997779 + 1. assign V127328 = V611828 - 1. assign V549952 = V300125 + 1. assign V618971 = V344385. assign V905213 = V522267 - 1. assign V044535 = 8. assign V594003 = V437113 - 1. assign V373679 = V719717 + 1. assign V363031 = V300125 + 1. assign V944756 = V553102. assign V611828 = V268669 - 1. assign V077619 = V316535. assign V170559 = V851076. assign V910733 = V316535 - 1. assign V248574 = V071460 - 1. assign V882772 = V622766. assign V935332 = V268669 + 1. assign V735179 = V718137 + 1. assign V745243 = V344975. assign V521694 = V910733 + 1. assign V898440 = V379349 + 1. assign V392865 = V318015 + 1. assign V649008 = V804825. assign V627060 = V108809 + 1. assign V399465 = V804315 - 1. assign V129436 = V332738 + 1. assign V718137 = V241959 - 1. assign V629257 = V621368 + 1. assign V832845 = V427506 + 1. assign V391739 = V832845 + 1. assign V449931 = V379349 - 1. assign V595487 = V318015 - 1. assign V379019 = V006673 - 1. assign V556385 = V310360. assign V514488 = V611828 + 1. assign V780009 = V887856. assign V731968 = V332806 - 1. assign V300125 = V122685 + 1. assign V753996 = V704057 - 1. assign V379349 = V587983 - 1. assign V882481 = V318015 - 1. assign V818062 = V731968. assign V621372 = V151526 - 1. assign V533427 = V122685. assign V804825 = V427506 - 1. assign V490970 = V373679 + 1. assign V808441 = V332806 - 1. assign V299719 = V651185. assign V997779 = V622766. assign V291187 = V417903. assign V684763 = V379019 - 1. assign V704057 = V553102 - 1. assign V065314 = V731968 + 1. assign V085361 = V719717 + 1. assign V829027 = V879897. assign V473939 = V874883. assign V003445 = V932975 - 1. assign V542036 = V932975. assign V031625 = V244863 - 1. assign V925828 = V006673. assign V733577 = V719717. assign V336380 = V151526 - 1. assign V015911 = V935332 - 1. assign V587983 = V241959 - 1. assign V183171 = V568372 + 1. assign V332806 = V379349 + 1. assign V822674 = V622766 - 1. assign V715573 = V587763 + 1. assign V743085 = V103128 + 1. assign V380529 = V659454. assign V133165 = V085361 + 1. assign V719717 = V241959 + 1. assign V851076 = V502773. assign V874883 = V622766 - 1. assign V382716 = V417903 - 1. assign V502773 = V935332 - 1. assign V568372 = V879897 - 1. assign V344975 = V300125 + 1. assign V123575 = V262290 - 1. assign V643667 = V622766 + 1. assign V559343 = V336380 + 1. assign V636476 = V718137. assign V268669 = V244863 - 1. assign V744059 = V743085 - 1. assign V932975 = V316535. assign V442661 = V622766. assign V553899 = V874883 + 1. assign V860746 = V151245 - 1. assign V983600 = V055370 - 1. assign V151245 = V521694. assign V070432 = V815939. assign V868428 = V719717 - 1. assign V254538 = V643667 - 1. assign V622766 = V417903 + 1. assign V887514 = V085361 + 1. assign V472891 = V256021 - 1. assign V071693 = V745243 - 1. assign V195033 = V451946. assign V137951 = V071460 + 1. assign V785805 = V882481 - 1. assign V979368 = V611828 + 1. assign V006673 = V719717 - 1. assign V071460 = V542036 - 1. assign V760368 = V268669. assign V552602 = V568372 + 1. assign V451946 = V905213 - 1. assign V339945 = V449931. assign V156536 = V553102. assign V905776 = V133165 + 1. assign V659454 = V882481 + 1. assign V256021 = V745243 + 1. assign V714515 = V780009. assign V887856 = V310360 - 1. assign V587763 = V268669. assign V130992 = V656657 - 1. assign V945144 = V587983. assign V316535 = V417903. assign V340969 = V718137. assign V024023 = V344975. assign V553102 = V719717. assign V617564 = V514488 + 1. assign V001169 = V935332. assign V879897 = V122685 + 1. assign V103128 = V122685 - 1. assign V344385 = V944756 - 1. assign V804315 = V818062 - 1. assign V937182 = V804825. assign V151526 = V643667 - 1. assign V621368 = V340969 - 1. assign V437113 = V241959 - 1. assign V702835 = V006673 + 1. assign V885513 = V887856 - 1. assign V645130 = V442661 + 1. assign V380926 = V391739 + 1. assign V122685 = V417903 + 1. assign V108809 = V874883 - 1. assign V244863 = V183171 - 1. assign V815939 = V874883 + 1. assign V656657 = V556385. assign V651185 = V137951. assign V492913 = V621368 - 1. assign V221073 = V183171 + 1. assign V332738 = V344385 + 1. assign V477794 = V332806.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV044535 = 8;\n\nFrom these direct assignment(s), we have: \nV937467 = V044535 = 8;\nNo other variables can be derived from V937467;\nNo other variables can be derived from V044535;\n\nNow we have done all the calculations. Derived variables are:\nV044535 = 8;\nV937467 = 8;\n\nNow we have finished this problem. ANSWER:\nV044535, V937467\n", "role": "assistant" } ]

[ "V759741", "V061164" ]

[ { "content": "<context>\nassign V721550 = V770011. assign V025748 = V721550 - 1. assign V303084 = V351865 - 1. assign V864092 = V489433 - 1. assign V471427 = V705649. assign V460881 = V497024 + 1. assign V161918 = V479049 + 1. assign V598275 = V680939 - 1. assign V684862 = V634026 + 1. assign V860398 = V964873 - 1. assign V184691 = V160641 - 1. assign V550528 = V680939. assign V860802 = V351865. assign V016095 = V160641. assign V407805 = V680351. assign V879732 = V699550. assign V835277 = V065780. assign V138871 = V598275 - 1. assign V925656 = V159006. assign V431561 = V427573 - 1. assign V124927 = V131876 + 1. assign V656417 = V721550 + 1. assign V611659 = V230813. assign V479049 = V441257 + 1. assign V358918 = V993229 + 1. assign V679248 = V599208. assign V175893 = V964873. assign V322246 = V942454. assign V317466 = V535469 + 1. assign V785828 = V933608 - 1. assign V854646 = V721550. assign V122782 = V131876 - 1. assign V131876 = V535469 - 1. assign V012396 = V084202 - 1. assign V154327 = V545911. assign V100507 = V741431 - 1. assign V545911 = V599208 + 1. assign V543674 = V964873 - 1. assign V571991 = V962874 + 1. assign V784518 = V680939 - 1. assign V382671 = V278759 - 1. assign V770011 = V317466 + 1. assign V986637 = V614623 - 1. assign V614623 = V942454. assign V774501 = V245633 + 1. assign V547084 = V230813 + 1. assign V524093 = V357076 + 1. assign V658282 = V535469 - 1. assign V242140 = V883333 - 1. assign V103585 = V427573 + 1. assign V089245 = V962874 + 1. assign V683567 = V993229 - 1. assign V505729 = V993229. assign V286755 = V469694 - 1. assign V212469 = V374974. assign V254232 = V800613 + 1. assign V230813 = V862326 + 1. assign V428068 = V854646 - 1. assign V680351 = V011601 - 1. assign V388859 = V159006. assign V266519 = V962874 - 1. assign V724422 = V320407. assign V278759 = V011601 - 1. assign V687651 = V230813. assign V678217 = V800613 + 1. assign V634026 = V131876 - 1. assign V964873 = V159006 - 1. assign V712125 = V382671. assign V824201 = V124927. assign V929658 = V286755. assign V903514 = V699550. assign V674660 = V278759. assign V993229 = V962874 + 1. assign V715266 = V535469. assign V738389 = V934525 + 1. assign V409012 = V230813 - 1. assign V386153 = V520429. assign V533050 = V770011 + 1. assign V054019 = V658282 - 1. assign V443428 = V943030 - 1. assign V497024 = V320407. assign V245633 = V317466. assign V588283 = V976937 - 1. assign V394654 = V620521. assign V106751 = V479049 + 1. assign V523810 = V186135. assign V681779 = V357076. assign V413118 = V759200. assign V680939 = V317466 + 1. assign V620521 = V388859 + 1. assign V685569 = V322246 + 1. assign V160641 = V964873 + 1. assign V469694 = V599848 - 1. assign V759741 = 4. assign V186135 = V388859 + 1. assign V741431 = V854646 - 1. assign V719842 = V680939 - 1. assign V206261 = V306890 - 1. assign V725614 = V011601 + 1. assign V351865 = V278759 + 1. assign V800613 = V011601. assign V699550 = V161918 + 1. assign V821350 = V131876 + 1. assign V652422 = V545911 + 1. assign V223125 = V159006 + 1. assign V942454 = V674660. assign V461371 = V599848. assign V094824 = V879732. assign V520429 = V159006 - 1. assign V942761 = V159006 + 1. assign V599208 = V489433. assign V488480 = V194380. assign V792799 = V942454. assign V065780 = V248709 - 1. assign V159006 = V535469 + 1. assign V549970 = V821350. assign V405236 = V124927 - 1. assign V862326 = V535469 + 1. assign V599848 = V777483 + 1. assign V551525 = V409012. assign V886651 = V159006 - 1. assign V278818 = V759200 + 1. assign V820746 = V687651 + 1. assign V016845 = V611659. assign V968504 = V520429 + 1. assign V219139 = V084202. assign V256829 = V784518 + 1. assign V832726 = V011601 - 1. assign V788862 = V103585 + 1. assign V976937 = V248709 - 1. assign V636078 = V489433. assign V705649 = V161918 + 1. assign V962874 = V431561 + 1. assign V147710 = V976937 - 1. assign V620798 = V415109 + 1. assign V933608 = V864092 + 1. assign V489433 = V461371 + 1. assign V427573 = V131876 - 1. assign V320407 = V821350 - 1. assign V084202 = V777483 + 1. assign V011601 = V821350 - 1. assign V597383 = V084202 - 1. assign V374974 = V320407. assign V811056 = V599208 + 1. assign V441257 = V934525 - 1. assign V644222 = V770011. assign V950270 = V469694 - 1. assign V883333 = V431561. assign V779905 = V687651. assign V777483 = V770011 - 1. assign V986071 = V212469 - 1. assign V248709 = V160641 - 1. assign V061164 = V759741. assign V357076 = V808721 + 1. assign V539941 = V223125 + 1. assign V441230 = V171003 + 1. assign V352439 = V545911 - 1. assign V943030 = V535469 + 1. assign V808721 = V160641. assign V759200 = V131876 - 1. assign V194380 = V427573. assign V934525 = V658282 + 1. assign V055822 = V016095 - 1. assign V306890 = V824201 - 1. assign V121182 = V777483. assign V446342 = V774501 - 1. assign V064554 = V738389 - 1. assign V171003 = V934525. assign V917921 = V055822. assign V169472 = V784518 + 1. assign V048257 = V256829 + 1. assign V415109 = V943030 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V721550 = V770011. assign V025748 = V721550 - 1. assign V303084 = V351865 - 1. assign V864092 = V489433 - 1. assign V471427 = V705649. assign V460881 = V497024 + 1. assign V161918 = V479049 + 1. assign V598275 = V680939 - 1. assign V684862 = V634026 + 1. assign V860398 = V964873 - 1. assign V184691 = V160641 - 1. assign V550528 = V680939. assign V860802 = V351865. assign V016095 = V160641. assign V407805 = V680351. assign V879732 = V699550. assign V835277 = V065780. assign V138871 = V598275 - 1. assign V925656 = V159006. assign V431561 = V427573 - 1. assign V124927 = V131876 + 1. assign V656417 = V721550 + 1. assign V611659 = V230813. assign V479049 = V441257 + 1. assign V358918 = V993229 + 1. assign V679248 = V599208. assign V175893 = V964873. assign V322246 = V942454. assign V317466 = V535469 + 1. assign V785828 = V933608 - 1. assign V854646 = V721550. assign V122782 = V131876 - 1. assign V131876 = V535469 - 1. assign V012396 = V084202 - 1. assign V154327 = V545911. assign V100507 = V741431 - 1. assign V545911 = V599208 + 1. assign V543674 = V964873 - 1. assign V571991 = V962874 + 1. assign V784518 = V680939 - 1. assign V382671 = V278759 - 1. assign V770011 = V317466 + 1. assign V986637 = V614623 - 1. assign V614623 = V942454. assign V774501 = V245633 + 1. assign V547084 = V230813 + 1. assign V524093 = V357076 + 1. assign V658282 = V535469 - 1. assign V242140 = V883333 - 1. assign V103585 = V427573 + 1. assign V089245 = V962874 + 1. assign V683567 = V993229 - 1. assign V505729 = V993229. assign V286755 = V469694 - 1. assign V212469 = V374974. assign V254232 = V800613 + 1. assign V230813 = V862326 + 1. assign V428068 = V854646 - 1. assign V680351 = V011601 - 1. assign V388859 = V159006. assign V266519 = V962874 - 1. assign V724422 = V320407. assign V278759 = V011601 - 1. assign V687651 = V230813. assign V678217 = V800613 + 1. assign V634026 = V131876 - 1. assign V964873 = V159006 - 1. assign V712125 = V382671. assign V824201 = V124927. assign V929658 = V286755. assign V903514 = V699550. assign V674660 = V278759. assign V993229 = V962874 + 1. assign V715266 = V535469. assign V738389 = V934525 + 1. assign V409012 = V230813 - 1. assign V386153 = V520429. assign V533050 = V770011 + 1. assign V054019 = V658282 - 1. assign V443428 = V943030 - 1. assign V497024 = V320407. assign V245633 = V317466. assign V588283 = V976937 - 1. assign V394654 = V620521. assign V106751 = V479049 + 1. assign V523810 = V186135. assign V681779 = V357076. assign V413118 = V759200. assign V680939 = V317466 + 1. assign V620521 = V388859 + 1. assign V685569 = V322246 + 1. assign V160641 = V964873 + 1. assign V469694 = V599848 - 1. assign V759741 = 4. assign V186135 = V388859 + 1. assign V741431 = V854646 - 1. assign V719842 = V680939 - 1. assign V206261 = V306890 - 1. assign V725614 = V011601 + 1. assign V351865 = V278759 + 1. assign V800613 = V011601. assign V699550 = V161918 + 1. assign V821350 = V131876 + 1. assign V652422 = V545911 + 1. assign V223125 = V159006 + 1. assign V942454 = V674660. assign V461371 = V599848. assign V094824 = V879732. assign V520429 = V159006 - 1. assign V942761 = V159006 + 1. assign V599208 = V489433. assign V488480 = V194380. assign V792799 = V942454. assign V065780 = V248709 - 1. assign V159006 = V535469 + 1. assign V549970 = V821350. assign V405236 = V124927 - 1. assign V862326 = V535469 + 1. assign V599848 = V777483 + 1. assign V551525 = V409012. assign V886651 = V159006 - 1. assign V278818 = V759200 + 1. assign V820746 = V687651 + 1. assign V016845 = V611659. assign V968504 = V520429 + 1. assign V219139 = V084202. assign V256829 = V784518 + 1. assign V832726 = V011601 - 1. assign V788862 = V103585 + 1. assign V976937 = V248709 - 1. assign V636078 = V489433. assign V705649 = V161918 + 1. assign V962874 = V431561 + 1. assign V147710 = V976937 - 1. assign V620798 = V415109 + 1. assign V933608 = V864092 + 1. assign V489433 = V461371 + 1. assign V427573 = V131876 - 1. assign V320407 = V821350 - 1. assign V084202 = V777483 + 1. assign V011601 = V821350 - 1. assign V597383 = V084202 - 1. assign V374974 = V320407. assign V811056 = V599208 + 1. assign V441257 = V934525 - 1. assign V644222 = V770011. assign V950270 = V469694 - 1. assign V883333 = V431561. assign V779905 = V687651. assign V777483 = V770011 - 1. assign V986071 = V212469 - 1. assign V248709 = V160641 - 1. assign V061164 = V759741. assign V357076 = V808721 + 1. assign V539941 = V223125 + 1. assign V441230 = V171003 + 1. assign V352439 = V545911 - 1. assign V943030 = V535469 + 1. assign V808721 = V160641. assign V759200 = V131876 - 1. assign V194380 = V427573. assign V934525 = V658282 + 1. assign V055822 = V016095 - 1. assign V306890 = V824201 - 1. assign V121182 = V777483. assign V446342 = V774501 - 1. assign V064554 = V738389 - 1. assign V171003 = V934525. assign V917921 = V055822. assign V169472 = V784518 + 1. assign V048257 = V256829 + 1. assign V415109 = V943030 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV759741 = 4;\n\nFrom these direct assignment(s), we have: \nV061164 = V759741 = 4;\nNo other variables can be derived from V061164;\nNo other variables can be derived from V759741;\n\nNow we have done all the calculations. Derived variables are:\nV759741 = 4;\nV061164 = 4;\n\nNow we have finished this problem. ANSWER:\nV759741, V061164\n", "role": "assistant" } ]

[ "V064038", "V111333" ]

[ { "content": "<context>\nassign V115402 = V081430 + 1. assign V718657 = V956593 + 1. assign V053950 = V727699 - 1. assign V811161 = V566680 + 1. assign V578026 = V745230. assign V857437 = V104870. assign V019909 = V229816 - 1. assign V484185 = V811161. assign V896627 = V996213 - 1. assign V141141 = V081430 + 1. assign V072951 = V676915 - 1. assign V961171 = V315664 + 1. assign V723983 = V961549 - 1. assign V359282 = V451693. assign V108171 = V814001 + 1. assign V084340 = V149856 - 1. assign V167071 = V172535 - 1. assign V524437 = V419265. assign V548872 = V081430. assign V064038 = 6. assign V323322 = V862464 - 1. assign V967874 = V566680 + 1. assign V881762 = V495270. assign V590504 = V197099. assign V127909 = V727699 + 1. assign V480642 = V845539 + 1. assign V536383 = V839951 + 1. assign V878343 = V427352. assign V907776 = V537463. assign V661354 = V104870 - 1. assign V996213 = V570825 + 1. assign V767518 = V566680 - 1. assign V657086 = V141141 - 1. assign V077010 = V104870. assign V661578 = V104870 - 1. assign V679588 = V811161 - 1. assign V154513 = V958128 - 1. assign V790054 = V857437. assign V999732 = V108171 - 1. assign V422424 = V927445. assign V716429 = V115402 + 1. assign V140996 = V598797. assign V914294 = V814001. assign V405504 = V992540 - 1. assign V942492 = V716429 - 1. assign V343484 = V819792. assign V201824 = V963703 + 1. assign V014624 = V405504 + 1. assign V814001 = V104870 + 1. assign V927445 = V032708 + 1. assign V631661 = V999732 + 1. assign V479701 = V570825 - 1. assign V197099 = V633611 - 1. assign V175830 = V081430 + 1. assign V547407 = V896627. assign V981707 = V633611 + 1. assign V956593 = V654351 + 1. assign V742990 = V927445 + 1. assign V651153 = V566680 - 1. assign V657590 = V387311 + 1. assign V188962 = V194911 + 1. assign V618432 = V570825. assign V931062 = V598797 - 1. assign V586156 = V598797. assign V451693 = V374445 - 1. assign V101265 = V814001 + 1. assign V650572 = V603351 - 1. assign V459913 = V927445 - 1. assign V908460 = V104870. assign V857450 = V785189 - 1. assign V633611 = V963703 + 1. assign V428125 = V590504 - 1. assign V046748 = V315664. assign V867598 = V421174. assign V167716 = V221936 - 1. assign V496575 = V175830. assign V172535 = V250195. assign V566680 = V104870 + 1. assign V898851 = V727699. assign V495284 = V513523. assign V963703 = V839951 - 1. assign V670273 = V537463 + 1. assign V142814 = V203578. assign V024207 = V661578 + 1. assign V184069 = V127134. assign V598797 = V201824 - 1. assign V881991 = V318778 - 1. assign V969782 = V956593 + 1. assign V587649 = V451693. assign V570293 = V046748. assign V634148 = V229816 - 1. assign V332015 = V881762 + 1. assign V547178 = V495270. assign V474636 = V566680 - 1. assign V387745 = V679588 - 1. assign V442370 = V495270 + 1. assign V685027 = V657086 + 1. assign V513523 = V229816 + 1. assign V262759 = V996213 - 1. assign V287121 = V558715. assign V168462 = V956593 - 1. assign V961549 = V814001 + 1. assign V164185 = V115402 - 1. assign V697743 = V914294 - 1. assign V337204 = V404858 + 1. assign V873967 = V790054 + 1. assign V845539 = V676915 + 1. assign V676915 = V690404 + 1. assign V405035 = V811161 + 1. assign V035057 = V811161 + 1. assign V914238 = V115402. assign V570825 = V104870. assign V111333 = V064038. assign V862464 = V767518 - 1. assign V421174 = V108171 + 1. assign V495270 = V814001. assign V194368 = V956593 - 1. assign V727699 = V104870 + 1. assign V027512 = V914294. assign V194911 = V536383 - 1. assign V819792 = V927445 - 1. assign V495828 = V992540 - 1. assign V935398 = V474636 - 1. assign V785189 = V839951 - 1. assign V585440 = V654351. assign V705119 = V141141 + 1. assign V295575 = V480642 + 1. assign V558715 = V474636 + 1. assign V551180 = V685027 - 1. assign V081430 = V474636 - 1. assign V250195 = V053950 + 1. assign V039956 = V127909. assign V992540 = V690404 + 1. assign V032708 = V184069. assign V229816 = V319743 + 1. assign V203578 = V495270 + 1. assign V363667 = V745230 - 1. assign V427352 = V908460. assign V492161 = V405504 + 1. assign V404858 = V141141 - 1. assign V149856 = V839951 + 1. assign V839951 = V566680 + 1. assign V583053 = V661578 + 1. assign V690404 = V603351 + 1. assign V786717 = V992540 + 1. assign V035003 = V175830 + 1. assign V021906 = V839951 - 1. assign V086773 = V496575 + 1. assign V318778 = V898851. assign V606528 = V603351 - 1. assign V127134 = V963703. assign V419265 = V881762 - 1. assign V200317 = V742990. assign V406529 = V969782. assign V661698 = V319743. assign V221936 = V570825 + 1. assign V942705 = V459913. assign V319743 = V104870 + 1. assign V257892 = V496575 - 1. assign V958128 = V634148 - 1. assign V315664 = V474636. assign V715916 = V996213 - 1. assign V745230 = V480642 + 1. assign V603351 = V474636 + 1. assign V192186 = V495270. assign V196335 = V603351 - 1. assign V387311 = V374445. assign V374445 = V566680. assign V654351 = V727699. assign V935791 = V175830 - 1. assign V537463 = V654351 + 1. assign V355725 = V480642.\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 V115402 = V081430 + 1. assign V718657 = V956593 + 1. assign V053950 = V727699 - 1. assign V811161 = V566680 + 1. assign V578026 = V745230. assign V857437 = V104870. assign V019909 = V229816 - 1. assign V484185 = V811161. assign V896627 = V996213 - 1. assign V141141 = V081430 + 1. assign V072951 = V676915 - 1. assign V961171 = V315664 + 1. assign V723983 = V961549 - 1. assign V359282 = V451693. assign V108171 = V814001 + 1. assign V084340 = V149856 - 1. assign V167071 = V172535 - 1. assign V524437 = V419265. assign V548872 = V081430. assign V064038 = 6. assign V323322 = V862464 - 1. assign V967874 = V566680 + 1. assign V881762 = V495270. assign V590504 = V197099. assign V127909 = V727699 + 1. assign V480642 = V845539 + 1. assign V536383 = V839951 + 1. assign V878343 = V427352. assign V907776 = V537463. assign V661354 = V104870 - 1. assign V996213 = V570825 + 1. assign V767518 = V566680 - 1. assign V657086 = V141141 - 1. assign V077010 = V104870. assign V661578 = V104870 - 1. assign V679588 = V811161 - 1. assign V154513 = V958128 - 1. assign V790054 = V857437. assign V999732 = V108171 - 1. assign V422424 = V927445. assign V716429 = V115402 + 1. assign V140996 = V598797. assign V914294 = V814001. assign V405504 = V992540 - 1. assign V942492 = V716429 - 1. assign V343484 = V819792. assign V201824 = V963703 + 1. assign V014624 = V405504 + 1. assign V814001 = V104870 + 1. assign V927445 = V032708 + 1. assign V631661 = V999732 + 1. assign V479701 = V570825 - 1. assign V197099 = V633611 - 1. assign V175830 = V081430 + 1. assign V547407 = V896627. assign V981707 = V633611 + 1. assign V956593 = V654351 + 1. assign V742990 = V927445 + 1. assign V651153 = V566680 - 1. assign V657590 = V387311 + 1. assign V188962 = V194911 + 1. assign V618432 = V570825. assign V931062 = V598797 - 1. assign V586156 = V598797. assign V451693 = V374445 - 1. assign V101265 = V814001 + 1. assign V650572 = V603351 - 1. assign V459913 = V927445 - 1. assign V908460 = V104870. assign V857450 = V785189 - 1. assign V633611 = V963703 + 1. assign V428125 = V590504 - 1. assign V046748 = V315664. assign V867598 = V421174. assign V167716 = V221936 - 1. assign V496575 = V175830. assign V172535 = V250195. assign V566680 = V104870 + 1. assign V898851 = V727699. assign V495284 = V513523. assign V963703 = V839951 - 1. assign V670273 = V537463 + 1. assign V142814 = V203578. assign V024207 = V661578 + 1. assign V184069 = V127134. assign V598797 = V201824 - 1. assign V881991 = V318778 - 1. assign V969782 = V956593 + 1. assign V587649 = V451693. assign V570293 = V046748. assign V634148 = V229816 - 1. assign V332015 = V881762 + 1. assign V547178 = V495270. assign V474636 = V566680 - 1. assign V387745 = V679588 - 1. assign V442370 = V495270 + 1. assign V685027 = V657086 + 1. assign V513523 = V229816 + 1. assign V262759 = V996213 - 1. assign V287121 = V558715. assign V168462 = V956593 - 1. assign V961549 = V814001 + 1. assign V164185 = V115402 - 1. assign V697743 = V914294 - 1. assign V337204 = V404858 + 1. assign V873967 = V790054 + 1. assign V845539 = V676915 + 1. assign V676915 = V690404 + 1. assign V405035 = V811161 + 1. assign V035057 = V811161 + 1. assign V914238 = V115402. assign V570825 = V104870. assign V111333 = V064038. assign V862464 = V767518 - 1. assign V421174 = V108171 + 1. assign V495270 = V814001. assign V194368 = V956593 - 1. assign V727699 = V104870 + 1. assign V027512 = V914294. assign V194911 = V536383 - 1. assign V819792 = V927445 - 1. assign V495828 = V992540 - 1. assign V935398 = V474636 - 1. assign V785189 = V839951 - 1. assign V585440 = V654351. assign V705119 = V141141 + 1. assign V295575 = V480642 + 1. assign V558715 = V474636 + 1. assign V551180 = V685027 - 1. assign V081430 = V474636 - 1. assign V250195 = V053950 + 1. assign V039956 = V127909. assign V992540 = V690404 + 1. assign V032708 = V184069. assign V229816 = V319743 + 1. assign V203578 = V495270 + 1. assign V363667 = V745230 - 1. assign V427352 = V908460. assign V492161 = V405504 + 1. assign V404858 = V141141 - 1. assign V149856 = V839951 + 1. assign V839951 = V566680 + 1. assign V583053 = V661578 + 1. assign V690404 = V603351 + 1. assign V786717 = V992540 + 1. assign V035003 = V175830 + 1. assign V021906 = V839951 - 1. assign V086773 = V496575 + 1. assign V318778 = V898851. assign V606528 = V603351 - 1. assign V127134 = V963703. assign V419265 = V881762 - 1. assign V200317 = V742990. assign V406529 = V969782. assign V661698 = V319743. assign V221936 = V570825 + 1. assign V942705 = V459913. assign V319743 = V104870 + 1. assign V257892 = V496575 - 1. assign V958128 = V634148 - 1. assign V315664 = V474636. assign V715916 = V996213 - 1. assign V745230 = V480642 + 1. assign V603351 = V474636 + 1. assign V192186 = V495270. assign V196335 = V603351 - 1. assign V387311 = V374445. assign V374445 = V566680. assign V654351 = V727699. assign V935791 = V175830 - 1. assign V537463 = V654351 + 1. assign V355725 = V480642.\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):\nV064038 = 6;\n\nFrom these direct assignment(s), we have: \nV111333 = V064038 = 6;\nNo other variables can be derived from V111333;\nNo other variables can be derived from V064038;\n\nNow we have done all the calculations. Derived variables are:\nV064038 = 6;\nV111333 = 6;\n\nNow we have finished this problem. ANSWER:\nV064038, V111333\n", "role": "assistant" } ]

[ "V362574" ]

[ { "content": "<context>\nassign V431890 = V851563 + 1. assign V174804 = V853977. assign V792291 = V431890 - 1. assign V906078 = V884693. assign V316282 = V082341 + 1. assign V794981 = V082341 - 1. assign V214079 = V878866 + 1. assign V103095 = V060906 + 1. assign V098929 = V007074 - 1. assign V903400 = V599503 - 1. assign V335610 = V504913 + 1. assign V863014 = V907379. assign V659286 = V482640 - 1. assign V214328 = V770271 + 1. assign V485557 = V093263 - 1. assign V952266 = V732366. assign V055529 = V962411. assign V295382 = V005641 + 1. assign V052392 = V942578. assign V289324 = V440481. assign V143129 = V000724 - 1. assign V738518 = V304655 - 1. assign V371937 = V864148 + 1. assign V882587 = V008846 - 1. assign V204703 = V325702 + 1. assign V519187 = V103095. assign V853977 = V103095. assign V878185 = V945171 + 1. assign V038358 = V147988 + 1. assign V133800 = V110358 + 1. assign V676367 = V008846. assign V975360 = V770271 + 1. assign V423191 = V918019. assign V618079 = V004026 + 1. assign V475354 = V043963 + 1. assign V666427 = V851563. assign V610337 = V882587. assign V482640 = V082341 + 1. assign V948158 = V851563 + 1. assign V147988 = V482885 - 1. assign V078042 = V043963 + 1. assign V428981 = V052392 - 1. assign V305897 = V962411. assign V269169 = V975360 - 1. assign V929763 = V008846 - 1. assign V043963 = V504913. assign V353345 = V610337 - 1. assign V084707 = V519187. assign V851563 = V088287. assign V693026 = V519187. assign V808915 = V289324 - 1. assign V922589 = V952266. assign V513409 = V630120. assign V047083 = V052392 - 1. assign V433913 = V886422 + 1. assign V890237 = V770271 + 1. assign V618259 = V325702 - 1. assign V088287 = V103095 + 1. assign V000724 = V135927 - 1. assign V639738 = V803931. assign V075685 = V666427. assign V750453 = V103095. assign V041133 = V942578 + 1. assign V190911 = V665420 + 1. assign V825326 = V204703 + 1. assign V593163 = V082341. assign V886874 = V690300 + 1. assign V221881 = V732366 + 1. assign V690300 = V304655. assign V304655 = V470720 + 1. assign V240623 = V231744 - 1. assign V110358 = V470720 + 1. assign V146711 = V918019. assign V286738 = V065038 + 1. assign V942578 = V008846 - 1. assign V504913 = V942578 + 1. assign V875537 = V386614 - 1. assign V279047 = V240623. assign V501013 = V103095. assign V886422 = V770271. assign V037073 = V214079. assign V402906 = V065038 - 1. assign V415974 = V437207 - 1. assign V985274 = V637827 - 1. assign V703343 = V008846. assign V599503 = V305897. assign V905456 = V929763 + 1. assign V884693 = V325702 + 1. assign V234022 = V922589 + 1. assign V539953 = V231744 + 1. assign V231744 = V214328. assign V783830 = V882587. assign V135927 = V929763. assign V615136 = V918019 + 1. assign V227160 = V190911. assign V613999 = V362574 + 1. assign V848805 = V190911 - 1. assign V665420 = V005641. assign V109256 = V504913. assign V732366 = V431890 - 1. assign V169976 = V783233 + 1. assign V907379 = V555897 + 1. assign V901683 = V190911. assign V086646 = V065038. assign V097790 = V942578. assign V630120 = V794981. assign V470720 = V060906 + 1. assign V910707 = V231744. assign V962411 = V386261 + 1. assign V060906 = V008846. assign V437207 = V535942. assign V482885 = V610337 - 1. assign V864148 = V906078 - 1. assign V325702 = V929763 + 1. assign V836268 = V728448 - 1. assign V786123 = V906012 + 1. assign V658763 = V665420. assign V763641 = V564253. assign V803931 = V676367. assign V637827 = V535942. assign V386614 = V952266 + 1. assign V728448 = V535942 + 1. assign V906012 = V482885 + 1. assign V970580 = V103095. assign V528726 = V929763 + 1. assign V560055 = V786123 + 1. assign V472111 = V060906 + 1. assign V722016 = V097790. assign V202160 = V794981. assign V555897 = V802133 - 1. assign V701585 = V770271 + 1. assign V718446 = V962411 + 1. assign V641714 = V962411. assign V159309 = V325702 + 1. assign V945171 = V802133 + 1. assign V331903 = V778636 - 1. assign V004026 = V618259 - 1. assign V802133 = V693026 + 1. assign V918019 = V770271. assign V778636 = V214328 - 1. assign V842643 = V231744 - 1. assign V564253 = V214328 - 1. assign V796274 = V864148 - 1. assign V535942 = V693026. assign V878866 = V060906. assign V055361 = V470720 + 1. assign V387187 = V564253 - 1. assign V477709 = V783233 - 1. assign V770271 = V882587 + 1. assign V173730 = V929763 + 1. assign V082341 = V097790 + 1. assign V773827 = V289324 + 1. assign V093263 = V878866 - 1. assign V108821 = V690300. assign V834699 = V005641 - 1. assign V963212 = V853977. assign V005641 = V851563 + 1. assign V309122 = V783830 + 1. assign V567923 = V942578. assign V741467 = V055361. assign V814601 = V693026 + 1. assign V838388 = V065038 - 1. assign V007074 = V929763 - 1. assign V065038 = V535942. assign V034871 = V082341 - 1. assign V386261 = V325702 - 1. assign V362574 = 4. assign V135992 = V962411 - 1. assign V806652 = V918019 - 1. assign V783233 = V901683 + 1. assign V249872 = V075685. assign V440481 = V052392 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V431890 = V851563 + 1. assign V174804 = V853977. assign V792291 = V431890 - 1. assign V906078 = V884693. assign V316282 = V082341 + 1. assign V794981 = V082341 - 1. assign V214079 = V878866 + 1. assign V103095 = V060906 + 1. assign V098929 = V007074 - 1. assign V903400 = V599503 - 1. assign V335610 = V504913 + 1. assign V863014 = V907379. assign V659286 = V482640 - 1. assign V214328 = V770271 + 1. assign V485557 = V093263 - 1. assign V952266 = V732366. assign V055529 = V962411. assign V295382 = V005641 + 1. assign V052392 = V942578. assign V289324 = V440481. assign V143129 = V000724 - 1. assign V738518 = V304655 - 1. assign V371937 = V864148 + 1. assign V882587 = V008846 - 1. assign V204703 = V325702 + 1. assign V519187 = V103095. assign V853977 = V103095. assign V878185 = V945171 + 1. assign V038358 = V147988 + 1. assign V133800 = V110358 + 1. assign V676367 = V008846. assign V975360 = V770271 + 1. assign V423191 = V918019. assign V618079 = V004026 + 1. assign V475354 = V043963 + 1. assign V666427 = V851563. assign V610337 = V882587. assign V482640 = V082341 + 1. assign V948158 = V851563 + 1. assign V147988 = V482885 - 1. assign V078042 = V043963 + 1. assign V428981 = V052392 - 1. assign V305897 = V962411. assign V269169 = V975360 - 1. assign V929763 = V008846 - 1. assign V043963 = V504913. assign V353345 = V610337 - 1. assign V084707 = V519187. assign V851563 = V088287. assign V693026 = V519187. assign V808915 = V289324 - 1. assign V922589 = V952266. assign V513409 = V630120. assign V047083 = V052392 - 1. assign V433913 = V886422 + 1. assign V890237 = V770271 + 1. assign V618259 = V325702 - 1. assign V088287 = V103095 + 1. assign V000724 = V135927 - 1. assign V639738 = V803931. assign V075685 = V666427. assign V750453 = V103095. assign V041133 = V942578 + 1. assign V190911 = V665420 + 1. assign V825326 = V204703 + 1. assign V593163 = V082341. assign V886874 = V690300 + 1. assign V221881 = V732366 + 1. assign V690300 = V304655. assign V304655 = V470720 + 1. assign V240623 = V231744 - 1. assign V110358 = V470720 + 1. assign V146711 = V918019. assign V286738 = V065038 + 1. assign V942578 = V008846 - 1. assign V504913 = V942578 + 1. assign V875537 = V386614 - 1. assign V279047 = V240623. assign V501013 = V103095. assign V886422 = V770271. assign V037073 = V214079. assign V402906 = V065038 - 1. assign V415974 = V437207 - 1. assign V985274 = V637827 - 1. assign V703343 = V008846. assign V599503 = V305897. assign V905456 = V929763 + 1. assign V884693 = V325702 + 1. assign V234022 = V922589 + 1. assign V539953 = V231744 + 1. assign V231744 = V214328. assign V783830 = V882587. assign V135927 = V929763. assign V615136 = V918019 + 1. assign V227160 = V190911. assign V613999 = V362574 + 1. assign V848805 = V190911 - 1. assign V665420 = V005641. assign V109256 = V504913. assign V732366 = V431890 - 1. assign V169976 = V783233 + 1. assign V907379 = V555897 + 1. assign V901683 = V190911. assign V086646 = V065038. assign V097790 = V942578. assign V630120 = V794981. assign V470720 = V060906 + 1. assign V910707 = V231744. assign V962411 = V386261 + 1. assign V060906 = V008846. assign V437207 = V535942. assign V482885 = V610337 - 1. assign V864148 = V906078 - 1. assign V325702 = V929763 + 1. assign V836268 = V728448 - 1. assign V786123 = V906012 + 1. assign V658763 = V665420. assign V763641 = V564253. assign V803931 = V676367. assign V637827 = V535942. assign V386614 = V952266 + 1. assign V728448 = V535942 + 1. assign V906012 = V482885 + 1. assign V970580 = V103095. assign V528726 = V929763 + 1. assign V560055 = V786123 + 1. assign V472111 = V060906 + 1. assign V722016 = V097790. assign V202160 = V794981. assign V555897 = V802133 - 1. assign V701585 = V770271 + 1. assign V718446 = V962411 + 1. assign V641714 = V962411. assign V159309 = V325702 + 1. assign V945171 = V802133 + 1. assign V331903 = V778636 - 1. assign V004026 = V618259 - 1. assign V802133 = V693026 + 1. assign V918019 = V770271. assign V778636 = V214328 - 1. assign V842643 = V231744 - 1. assign V564253 = V214328 - 1. assign V796274 = V864148 - 1. assign V535942 = V693026. assign V878866 = V060906. assign V055361 = V470720 + 1. assign V387187 = V564253 - 1. assign V477709 = V783233 - 1. assign V770271 = V882587 + 1. assign V173730 = V929763 + 1. assign V082341 = V097790 + 1. assign V773827 = V289324 + 1. assign V093263 = V878866 - 1. assign V108821 = V690300. assign V834699 = V005641 - 1. assign V963212 = V853977. assign V005641 = V851563 + 1. assign V309122 = V783830 + 1. assign V567923 = V942578. assign V741467 = V055361. assign V814601 = V693026 + 1. assign V838388 = V065038 - 1. assign V007074 = V929763 - 1. assign V065038 = V535942. assign V034871 = V082341 - 1. assign V386261 = V325702 - 1. assign V362574 = 4. assign V135992 = V962411 - 1. assign V806652 = V918019 - 1. assign V783233 = V901683 + 1. assign V249872 = V075685. assign V440481 = V052392 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV362574 = 4;\n\nFrom these direct assignment(s), we have: \nV613999 = V362574 + 1 = 4 + 1 =5;\nNo other variables can be derived from V613999;\nNo other variables can be derived from V362574;\n\nNow we have done all the calculations. Derived variables are:\nV362574 = 4;\nV613999 = 5;\n\nNow we have finished this problem. ANSWER:\nV362574\n", "role": "assistant" } ]

[ "V575824", "V856854" ]

[ { "content": "<context>\nassign V613011 = V857303 - 1. assign V766852 = V932967 - 1. assign V796836 = V945173 + 1. assign V221210 = V537336 + 1. assign V095313 = V849186. assign V023998 = V613066 - 1. assign V418098 = V764418 + 1. assign V449956 = V613011 + 1. assign V984769 = V995686. assign V413760 = V520086. assign V787712 = V291871. assign V872163 = V645264. assign V159456 = V513589 + 1. assign V525453 = V932967. assign V882772 = V398131 - 1. assign V838453 = V704720. assign V009454 = V528001 - 1. assign V075252 = V872163 - 1. assign V169983 = V874871 + 1. assign V692182 = V168366. assign V111744 = V767928. assign V610061 = V115094. assign V398131 = V652895 - 1. assign V896036 = V302187 - 1. assign V993424 = V031103 + 1. assign V906798 = V922950 + 1. assign V861863 = V787712. assign V652895 = V922950 + 1. assign V528001 = V191605. assign V136346 = V098471. assign V679084 = V443633 + 1. assign V004521 = V513589 + 1. assign V010395 = V520086. assign V596385 = V849186 + 1. assign V291871 = V922950. assign V956784 = V763206 + 1. assign V897990 = V956784 + 1. assign V907013 = V784806 - 1. assign V151828 = V993424. assign V938854 = V596385 + 1. assign V231067 = V849186 + 1. assign V736058 = V695895 - 1. assign V767019 = V087619 - 1. assign V354687 = V398131 + 1. assign V667074 = V788412 - 1. assign V854116 = V538784 - 1. assign V839422 = V532804. assign V527627 = V010395 - 1. assign V116343 = V907013 + 1. assign V704720 = V087619. assign V614587 = V477900 - 1. assign V031103 = V922950 + 1. assign V442518 = V302187. assign V665265 = V675475 - 1. assign V945173 = V645264 + 1. assign V815483 = V849186 - 1. assign V126846 = V252169. assign V632280 = V843402. assign V575824 = 5. assign V267680 = V924979 - 1. assign V059151 = V446109 + 1. assign V849186 = V252169 + 1. assign V695895 = V126846 + 1. assign V402448 = V763206. assign V605545 = V784806. assign V675475 = V027032. assign V222408 = V746086 - 1. assign V767928 = V466542 + 1. assign V872702 = V402448. assign V724768 = V902652 - 1. assign V924979 = V652895. assign V496149 = V356023 + 1. assign V558558 = V806033 - 1. assign V266598 = V216858 + 1. assign V477900 = V695895 - 1. assign V242329 = V768692. assign V268277 = V111744. assign V446109 = V652895. assign V722483 = V746086. assign V717580 = V645264. assign V806033 = V252169 - 1. assign V755741 = V543439 + 1. assign V976029 = V519508. assign V443633 = V695895 + 1. assign V768692 = V031103 + 1. assign V409648 = V528001. assign V115818 = V882772 - 1. assign V757242 = V993424 - 1. assign V632637 = V511280 - 1. assign V543439 = V361756 - 1. assign V924519 = V976029 + 1. assign V216858 = V596385. assign V798729 = V449956 - 1. assign V468395 = V136346 + 1. assign V776363 = V604971 - 1. assign V472801 = V543439. assign V615716 = V361756 - 1. assign V765666 = V159456 + 1. assign V795706 = V746086 - 1. assign V356023 = V477900 - 1. assign V098471 = V906798. assign V538784 = V191605 - 1. assign V191605 = V784806 - 1. assign V791409 = V066342 + 1. assign V650339 = V009454. assign V066342 = V806033 - 1. assign V579475 = V938854 + 1. assign V645264 = V849186 - 1. assign V380983 = V798380. assign V613066 = V031103. assign V408549 = V932967 - 1. assign V763206 = V750809 + 1. assign V532804 = V605545. assign V468811 = V023998 - 1. assign V194691 = V806033 + 1. assign V107944 = V632280 + 1. assign V697813 = V750809. assign V519508 = V784806. assign V302187 = V520086 - 1. assign V087619 = V466542 - 1. assign V107561 = V614587 + 1. assign V374199 = V750809 + 1. assign V498310 = V791409 - 1. assign V168366 = V767928. assign V843402 = V528001. assign V902652 = V652895 - 1. assign V798380 = V004521 + 1. assign V230282 = V798380. assign V361756 = V537336. assign V027032 = V857303 + 1. assign V586122 = V031103 + 1. assign V522042 = V027032. assign V816764 = V724768 + 1. assign V788412 = V791409 + 1. assign V750809 = V784806 + 1. assign V650798 = V266598 + 1. assign V520086 = V519508. assign V077242 = V795706 + 1. assign V207095 = V136346 - 1. assign V526172 = V763206 + 1. assign V023584 = V520086 + 1. assign V555104 = V098471 - 1. assign V856854 = V575824. assign V173035 = V222408 - 1. assign V220696 = V408549. assign V932967 = V031103 - 1. assign V852136 = V004521 + 1. assign V764418 = V031103. assign V784806 = V922950 + 1. assign V163405 = V519508 + 1. assign V390198 = V757242. assign V511280 = V993424 - 1. assign V000734 = V984769 - 1. assign V252169 = V922950 + 1. assign V874871 = V922950. assign V995686 = V993424 + 1. assign V437921 = V956784. assign V713879 = V692182 + 1. assign V573011 = V764418. assign V861509 = V374199. assign V115094 = V757242 - 1. assign V513589 = V806033 - 1. assign V537336 = V902652 + 1. assign V435307 = V861509 - 1. assign V071766 = V242329. assign V857303 = V361756 - 1. assign V466542 = V849186 - 1. assign V746086 = V922950. assign V368185 = V922950 - 1. assign V014789 = V579475 - 1. assign V604971 = V136346. assign V448997 = V528001 + 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 V613011 = V857303 - 1. assign V766852 = V932967 - 1. assign V796836 = V945173 + 1. assign V221210 = V537336 + 1. assign V095313 = V849186. assign V023998 = V613066 - 1. assign V418098 = V764418 + 1. assign V449956 = V613011 + 1. assign V984769 = V995686. assign V413760 = V520086. assign V787712 = V291871. assign V872163 = V645264. assign V159456 = V513589 + 1. assign V525453 = V932967. assign V882772 = V398131 - 1. assign V838453 = V704720. assign V009454 = V528001 - 1. assign V075252 = V872163 - 1. assign V169983 = V874871 + 1. assign V692182 = V168366. assign V111744 = V767928. assign V610061 = V115094. assign V398131 = V652895 - 1. assign V896036 = V302187 - 1. assign V993424 = V031103 + 1. assign V906798 = V922950 + 1. assign V861863 = V787712. assign V652895 = V922950 + 1. assign V528001 = V191605. assign V136346 = V098471. assign V679084 = V443633 + 1. assign V004521 = V513589 + 1. assign V010395 = V520086. assign V596385 = V849186 + 1. assign V291871 = V922950. assign V956784 = V763206 + 1. assign V897990 = V956784 + 1. assign V907013 = V784806 - 1. assign V151828 = V993424. assign V938854 = V596385 + 1. assign V231067 = V849186 + 1. assign V736058 = V695895 - 1. assign V767019 = V087619 - 1. assign V354687 = V398131 + 1. assign V667074 = V788412 - 1. assign V854116 = V538784 - 1. assign V839422 = V532804. assign V527627 = V010395 - 1. assign V116343 = V907013 + 1. assign V704720 = V087619. assign V614587 = V477900 - 1. assign V031103 = V922950 + 1. assign V442518 = V302187. assign V665265 = V675475 - 1. assign V945173 = V645264 + 1. assign V815483 = V849186 - 1. assign V126846 = V252169. assign V632280 = V843402. assign V575824 = 5. assign V267680 = V924979 - 1. assign V059151 = V446109 + 1. assign V849186 = V252169 + 1. assign V695895 = V126846 + 1. assign V402448 = V763206. assign V605545 = V784806. assign V675475 = V027032. assign V222408 = V746086 - 1. assign V767928 = V466542 + 1. assign V872702 = V402448. assign V724768 = V902652 - 1. assign V924979 = V652895. assign V496149 = V356023 + 1. assign V558558 = V806033 - 1. assign V266598 = V216858 + 1. assign V477900 = V695895 - 1. assign V242329 = V768692. assign V268277 = V111744. assign V446109 = V652895. assign V722483 = V746086. assign V717580 = V645264. assign V806033 = V252169 - 1. assign V755741 = V543439 + 1. assign V976029 = V519508. assign V443633 = V695895 + 1. assign V768692 = V031103 + 1. assign V409648 = V528001. assign V115818 = V882772 - 1. assign V757242 = V993424 - 1. assign V632637 = V511280 - 1. assign V543439 = V361756 - 1. assign V924519 = V976029 + 1. assign V216858 = V596385. assign V798729 = V449956 - 1. assign V468395 = V136346 + 1. assign V776363 = V604971 - 1. assign V472801 = V543439. assign V615716 = V361756 - 1. assign V765666 = V159456 + 1. assign V795706 = V746086 - 1. assign V356023 = V477900 - 1. assign V098471 = V906798. assign V538784 = V191605 - 1. assign V191605 = V784806 - 1. assign V791409 = V066342 + 1. assign V650339 = V009454. assign V066342 = V806033 - 1. assign V579475 = V938854 + 1. assign V645264 = V849186 - 1. assign V380983 = V798380. assign V613066 = V031103. assign V408549 = V932967 - 1. assign V763206 = V750809 + 1. assign V532804 = V605545. assign V468811 = V023998 - 1. assign V194691 = V806033 + 1. assign V107944 = V632280 + 1. assign V697813 = V750809. assign V519508 = V784806. assign V302187 = V520086 - 1. assign V087619 = V466542 - 1. assign V107561 = V614587 + 1. assign V374199 = V750809 + 1. assign V498310 = V791409 - 1. assign V168366 = V767928. assign V843402 = V528001. assign V902652 = V652895 - 1. assign V798380 = V004521 + 1. assign V230282 = V798380. assign V361756 = V537336. assign V027032 = V857303 + 1. assign V586122 = V031103 + 1. assign V522042 = V027032. assign V816764 = V724768 + 1. assign V788412 = V791409 + 1. assign V750809 = V784806 + 1. assign V650798 = V266598 + 1. assign V520086 = V519508. assign V077242 = V795706 + 1. assign V207095 = V136346 - 1. assign V526172 = V763206 + 1. assign V023584 = V520086 + 1. assign V555104 = V098471 - 1. assign V856854 = V575824. assign V173035 = V222408 - 1. assign V220696 = V408549. assign V932967 = V031103 - 1. assign V852136 = V004521 + 1. assign V764418 = V031103. assign V784806 = V922950 + 1. assign V163405 = V519508 + 1. assign V390198 = V757242. assign V511280 = V993424 - 1. assign V000734 = V984769 - 1. assign V252169 = V922950 + 1. assign V874871 = V922950. assign V995686 = V993424 + 1. assign V437921 = V956784. assign V713879 = V692182 + 1. assign V573011 = V764418. assign V861509 = V374199. assign V115094 = V757242 - 1. assign V513589 = V806033 - 1. assign V537336 = V902652 + 1. assign V435307 = V861509 - 1. assign V071766 = V242329. assign V857303 = V361756 - 1. assign V466542 = V849186 - 1. assign V746086 = V922950. assign V368185 = V922950 - 1. assign V014789 = V579475 - 1. assign V604971 = V136346. assign V448997 = V528001 + 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):\nV575824 = 5;\n\nFrom these direct assignment(s), we have: \nV856854 = V575824 = 5;\nNo other variables can be derived from V856854;\nNo other variables can be derived from V575824;\n\nNow we have done all the calculations. Derived variables are:\nV575824 = 5;\nV856854 = 5;\n\nNow we have finished this problem. ANSWER:\nV575824, V856854\n", "role": "assistant" } ]

[ "V997159" ]

[ { "content": "<context>\nassign V887186 = V081306. assign V135560 = V127369 + 1. assign V542681 = V860564 + 1. assign V239845 = V932406 - 1. assign V482307 = V846308. assign V692966 = V504243. assign V136749 = V045247 - 1. assign V096457 = V079191 + 1. assign V808814 = V069176 + 1. assign V561879 = V393139 - 1. assign V096917 = V692966 - 1. assign V483554 = V716810 - 1. assign V365868 = V716810 - 1. assign V268546 = V127369. assign V997159 = 3. assign V709996 = V736222 - 1. assign V803650 = V727193 + 1. assign V591277 = V938932 + 1. assign V010041 = V742930 + 1. assign V973203 = V872751 + 1. assign V157981 = V045247 - 1. assign V733596 = V932406 - 1. assign V791517 = V062363. assign V861174 = V602354 - 1. assign V824610 = V150628 + 1. assign V597687 = V392933 + 1. assign V349630 = V858580. assign V252385 = V704012 + 1. assign V150628 = V591207 + 1. assign V316279 = V519688 - 1. assign V751289 = V365868 + 1. assign V238928 = V504243. assign V570957 = V175022 + 1. assign V107999 = V367549 + 1. assign V378543 = V757278. assign V122806 = V594586. assign V860564 = V504243 + 1. assign V807822 = V045247 - 1. assign V480409 = V417076 - 1. assign V066899 = V974086 - 1. assign V248779 = V721093. assign V687167 = V742930. assign V286457 = V135560 + 1. assign V945689 = V127369 - 1. assign V331601 = V664960 - 1. assign V393139 = V458524 - 1. assign V029800 = V331724 - 1. assign V874780 = V081306. assign V284430 = V687167. assign V290834 = V054905. assign V664960 = V150628 + 1. assign V879602 = V504243 - 1. assign V208891 = V807822 - 1. assign V172825 = V239845 + 1. assign V054905 = V807822 + 1. assign V520129 = V694603 + 1. assign V650340 = V736167 - 1. assign V879957 = V736167. assign V335421 = V458524 - 1. assign V768106 = V031246 - 1. assign V138762 = V436178. assign V556931 = V656559. assign V346434 = V451177 + 1. assign V879959 = V239845 - 1. assign V922260 = V997159 - 1. assign V323827 = V940493. assign V736222 = V268546 - 1. assign V614902 = V081306 + 1. assign V834911 = V874780 - 1. assign V680047 = V887186 + 1. assign V175022 = V451177 + 1. assign V331724 = V704012 - 1. assign V591207 = V504243. assign V834547 = V268546 - 1. assign V127369 = V504243 + 1. assign V392933 = V899995 - 1. assign V460484 = V286457 + 1. assign V021472 = V594586 + 1. assign V704012 = V236515. assign V818568 = V417076 + 1. assign V694603 = V079191. assign V899995 = V079191. assign V212484 = V175022 - 1. assign V853078 = V594586 + 1. assign V590298 = V861174 - 1. assign V837337 = V650340. assign V448198 = V079191 + 1. assign V846429 = V451177 + 1. assign V825022 = V932406. assign V069176 = V872751 - 1. assign V872751 = V451177. assign V789964 = V860564 - 1. assign V727193 = V045247 + 1. assign V840525 = V766144 + 1. assign V542114 = V961015. assign V462591 = V766144 - 1. assign V932406 = V704012. assign V141603 = V930160 - 1. assign V858580 = V346434 + 1. assign V721093 = V175022 - 1. assign V639047 = V874780 - 1. assign V458524 = V504243 - 1. assign V602354 = V570957 + 1. assign V109943 = V879957 + 1. assign V766144 = V127369 + 1. assign V742930 = V602354. assign V424488 = V367549 - 1. assign V755879 = V252385. assign V941889 = V840525 - 1. assign V465407 = V236515 + 1. assign V081306 = V504243. assign V775275 = V899995 - 1. assign V151216 = V775275. assign V263258 = V834547 - 1. assign V519688 = V286457 - 1. assign V241181 = V212484. assign V062363 = V135560. assign V961015 = V333089. assign V729375 = V109943 + 1. assign V761074 = V335421. assign V424604 = V136749. assign V693679 = V483554 - 1. assign V938932 = V193712 + 1. assign V904159 = V614902 - 1. assign V026838 = V238928 + 1. assign V922312 = V930160. assign V144612 = V775275. assign V713895 = V807822 - 1. assign V417076 = V021472 - 1. assign V333089 = V268546. assign V717179 = V647802 + 1. assign V873826 = V424604. assign V848165 = V855705 - 1. assign V337942 = V564740 + 1. assign V501789 = V458524 - 1. assign V736167 = V079191. assign V031246 = V716810 - 1. assign V803196 = V136749 + 1. assign V594586 = V940493 - 1. assign V679818 = V331724. assign V075560 = V922312 - 1. assign V974086 = V079191 + 1. assign V855705 = V193712 - 1. assign V757278 = V236515. assign V647802 = V031246 + 1. assign V626001 = V062363. assign V716810 = V860564 - 1. assign V193712 = V932406. assign V367549 = V392933 - 1. assign V846308 = V107999. assign V045247 = V940493. assign V488131 = V855705. assign V103597 = V107999 + 1. assign V699257 = V346434 - 1. assign V564740 = V879602. assign V930160 = V716810 + 1. assign V538037 = V331724. assign V943178 = V879959. assign V410092 = V520129 + 1. assign V656559 = V694603 + 1. assign V079191 = V704012. assign V629725 = V736167 - 1. assign V540005 = V151216 + 1. assign V436178 = V704012. assign V741587 = V899995 - 1. assign V632547 = V349630. assign V940493 = V504243. assign V544058 = V679818. assign V236515 = V504243 + 1. assign V190301 = V286457 - 1. assign V522402 = V899995 + 1. assign V451177 = V704012 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V887186 = V081306. assign V135560 = V127369 + 1. assign V542681 = V860564 + 1. assign V239845 = V932406 - 1. assign V482307 = V846308. assign V692966 = V504243. assign V136749 = V045247 - 1. assign V096457 = V079191 + 1. assign V808814 = V069176 + 1. assign V561879 = V393139 - 1. assign V096917 = V692966 - 1. assign V483554 = V716810 - 1. assign V365868 = V716810 - 1. assign V268546 = V127369. assign V997159 = 3. assign V709996 = V736222 - 1. assign V803650 = V727193 + 1. assign V591277 = V938932 + 1. assign V010041 = V742930 + 1. assign V973203 = V872751 + 1. assign V157981 = V045247 - 1. assign V733596 = V932406 - 1. assign V791517 = V062363. assign V861174 = V602354 - 1. assign V824610 = V150628 + 1. assign V597687 = V392933 + 1. assign V349630 = V858580. assign V252385 = V704012 + 1. assign V150628 = V591207 + 1. assign V316279 = V519688 - 1. assign V751289 = V365868 + 1. assign V238928 = V504243. assign V570957 = V175022 + 1. assign V107999 = V367549 + 1. assign V378543 = V757278. assign V122806 = V594586. assign V860564 = V504243 + 1. assign V807822 = V045247 - 1. assign V480409 = V417076 - 1. assign V066899 = V974086 - 1. assign V248779 = V721093. assign V687167 = V742930. assign V286457 = V135560 + 1. assign V945689 = V127369 - 1. assign V331601 = V664960 - 1. assign V393139 = V458524 - 1. assign V029800 = V331724 - 1. assign V874780 = V081306. assign V284430 = V687167. assign V290834 = V054905. assign V664960 = V150628 + 1. assign V879602 = V504243 - 1. assign V208891 = V807822 - 1. assign V172825 = V239845 + 1. assign V054905 = V807822 + 1. assign V520129 = V694603 + 1. assign V650340 = V736167 - 1. assign V879957 = V736167. assign V335421 = V458524 - 1. assign V768106 = V031246 - 1. assign V138762 = V436178. assign V556931 = V656559. assign V346434 = V451177 + 1. assign V879959 = V239845 - 1. assign V922260 = V997159 - 1. assign V323827 = V940493. assign V736222 = V268546 - 1. assign V614902 = V081306 + 1. assign V834911 = V874780 - 1. assign V680047 = V887186 + 1. assign V175022 = V451177 + 1. assign V331724 = V704012 - 1. assign V591207 = V504243. assign V834547 = V268546 - 1. assign V127369 = V504243 + 1. assign V392933 = V899995 - 1. assign V460484 = V286457 + 1. assign V021472 = V594586 + 1. assign V704012 = V236515. assign V818568 = V417076 + 1. assign V694603 = V079191. assign V899995 = V079191. assign V212484 = V175022 - 1. assign V853078 = V594586 + 1. assign V590298 = V861174 - 1. assign V837337 = V650340. assign V448198 = V079191 + 1. assign V846429 = V451177 + 1. assign V825022 = V932406. assign V069176 = V872751 - 1. assign V872751 = V451177. assign V789964 = V860564 - 1. assign V727193 = V045247 + 1. assign V840525 = V766144 + 1. assign V542114 = V961015. assign V462591 = V766144 - 1. assign V932406 = V704012. assign V141603 = V930160 - 1. assign V858580 = V346434 + 1. assign V721093 = V175022 - 1. assign V639047 = V874780 - 1. assign V458524 = V504243 - 1. assign V602354 = V570957 + 1. assign V109943 = V879957 + 1. assign V766144 = V127369 + 1. assign V742930 = V602354. assign V424488 = V367549 - 1. assign V755879 = V252385. assign V941889 = V840525 - 1. assign V465407 = V236515 + 1. assign V081306 = V504243. assign V775275 = V899995 - 1. assign V151216 = V775275. assign V263258 = V834547 - 1. assign V519688 = V286457 - 1. assign V241181 = V212484. assign V062363 = V135560. assign V961015 = V333089. assign V729375 = V109943 + 1. assign V761074 = V335421. assign V424604 = V136749. assign V693679 = V483554 - 1. assign V938932 = V193712 + 1. assign V904159 = V614902 - 1. assign V026838 = V238928 + 1. assign V922312 = V930160. assign V144612 = V775275. assign V713895 = V807822 - 1. assign V417076 = V021472 - 1. assign V333089 = V268546. assign V717179 = V647802 + 1. assign V873826 = V424604. assign V848165 = V855705 - 1. assign V337942 = V564740 + 1. assign V501789 = V458524 - 1. assign V736167 = V079191. assign V031246 = V716810 - 1. assign V803196 = V136749 + 1. assign V594586 = V940493 - 1. assign V679818 = V331724. assign V075560 = V922312 - 1. assign V974086 = V079191 + 1. assign V855705 = V193712 - 1. assign V757278 = V236515. assign V647802 = V031246 + 1. assign V626001 = V062363. assign V716810 = V860564 - 1. assign V193712 = V932406. assign V367549 = V392933 - 1. assign V846308 = V107999. assign V045247 = V940493. assign V488131 = V855705. assign V103597 = V107999 + 1. assign V699257 = V346434 - 1. assign V564740 = V879602. assign V930160 = V716810 + 1. assign V538037 = V331724. assign V943178 = V879959. assign V410092 = V520129 + 1. assign V656559 = V694603 + 1. assign V079191 = V704012. assign V629725 = V736167 - 1. assign V540005 = V151216 + 1. assign V436178 = V704012. assign V741587 = V899995 - 1. assign V632547 = V349630. assign V940493 = V504243. assign V544058 = V679818. assign V236515 = V504243 + 1. assign V190301 = V286457 - 1. assign V522402 = V899995 + 1. assign V451177 = V704012 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV997159 = 3;\n\nFrom these direct assignment(s), we have: \nV922260 = V997159 - 1 = 3 - 1 =2;\nNo other variables can be derived from V922260;\nNo other variables can be derived from V997159;\n\nNow we have done all the calculations. Derived variables are:\nV997159 = 3;\nV922260 = 2;\n\nNow we have finished this problem. ANSWER:\nV997159\n", "role": "assistant" } ]

[ "V451065" ]

[ { "content": "<context>\nassign V574017 = V864196 - 1. assign V256236 = V745873 - 1. assign V540061 = V922724 + 1. assign V710915 = V028588 - 1. assign V544136 = V025272 + 1. assign V428718 = V250239 - 1. assign V879059 = V210361 - 1. assign V771425 = V337006 + 1. assign V684535 = V306917 - 1. assign V876435 = V463882 + 1. assign V561361 = V109973 + 1. assign V694569 = V479443 + 1. assign V061477 = V379623. assign V099018 = V442817. assign V549155 = V879059 + 1. assign V470093 = V760983. assign V861638 = V125041 - 1. assign V708956 = V968087. assign V388483 = V902881 - 1. assign V801542 = V864196. assign V442817 = V639921 - 1. assign V574267 = V070461. assign V404610 = V827431 - 1. assign V377345 = V379623 + 1. assign V976715 = V306917 + 1. assign V973713 = V864196 + 1. assign V968087 = V428718 + 1. assign V508756 = V574017 - 1. assign V147443 = V162681. assign V186634 = V479323 + 1. assign V154715 = V864196 + 1. assign V533806 = V495884 + 1. assign V819724 = V973713 - 1. assign V316783 = V002347. assign V760983 = V482555. assign V479323 = V540061 + 1. assign V218128 = V482555. assign V332539 = V412811. assign V028588 = V539258 - 1. assign V693660 = V402134. assign V204873 = V428718 + 1. assign V310587 = V973713. assign V496124 = V892244 - 1. assign V402134 = V760983 + 1. assign V162681 = V837377. assign V630928 = V211753 + 1. assign V314371 = V199324 + 1. assign V063917 = V819724 + 1. assign V701426 = V210361 + 1. assign V672970 = V976715. assign V622965 = V377345 - 1. assign V109973 = V377393 + 1. assign V333250 = V973713. assign V091306 = V151383 + 1. assign V125041 = V125380 - 1. assign V374095 = V549573 + 1. assign V039051 = V869914. assign V862710 = V250239. assign V211753 = V379623 - 1. assign V463882 = V496124 + 1. assign V660564 = V794291. assign V040299 = V864196 + 1. assign V881153 = V840801 + 1. assign V070461 = V869914. assign V151678 = V211753 + 1. assign V337006 = V495884 - 1. assign V625546 = V733856. assign V483303 = V151383. assign V031389 = V660564 + 1. assign V947042 = V015215 + 1. assign V060562 = V928775. assign V815200 = V042903 + 1. assign V794291 = V379623 + 1. assign V855211 = V861638. assign V973341 = V539258. assign V343473 = V301416 - 1. assign V329053 = V039051. assign V477023 = V377393 - 1. assign V892039 = V492707 + 1. assign V639921 = V973713. assign V499787 = V693660 + 1. assign V246901 = V533806 - 1. assign V067626 = V025272. assign V549573 = V892244 + 1. assign V869914 = V574017. assign V451065 = 7. assign V287664 = V479443 + 1. assign V760111 = V451065 + 1. assign V495884 = V892244 - 1. assign V349632 = V639921 + 1. assign V902881 = V428718. assign V398836 = V684535. assign V071935 = V428718. assign V330800 = V210361 + 1. assign V539258 = V250239 - 1. assign V640968 = V660564. assign V465844 = V246901 - 1. assign V042903 = V337006 - 1. assign V479443 = V377393 + 1. assign V494042 = V760983. assign V097804 = V301416 + 1. assign V716341 = V386761 + 1. assign V148526 = V794291 + 1. assign V125380 = V061477 + 1. assign V377393 = V879059 + 1. assign V379623 = V250239 - 1. assign V864196 = V250239 - 1. assign V635523 = V210361. assign V798997 = V210361. assign V772108 = V561361. assign V301416 = V733856 - 1. assign V396751 = V639921 + 1. assign V827431 = V154715 - 1. assign V547504 = V396751 + 1. assign V915934 = V549155 + 1. assign V833259 = V470093 + 1. assign V287666 = V025272 - 1. assign V887839 = V258238. assign V025272 = V495884. assign V647388 = V508756 - 1. assign V386761 = V915934 - 1. assign V340230 = V968472. assign V375443 = V539258 - 1. assign V011921 = V969096 + 1. assign V257265 = V485374 + 1. assign V199324 = V179426. assign V464311 = V162681. assign V780046 = V693660. assign V589225 = V109973 + 1. assign V499829 = V063917 - 1. assign V444551 = V827431. assign V968472 = V306917 + 1. assign V458577 = V186634 + 1. assign V123914 = V337006. assign V492707 = V301416 + 1. assign V256677 = V798997 + 1. assign V532226 = V257265 + 1. assign V886131 = V973341. assign V711138 = V639921 + 1. assign V932012 = V162681 + 1. assign V235358 = V899949. assign V210361 = V892244 - 1. assign V806011 = V827431 + 1. assign V142156 = V840801 + 1. assign V485374 = V660564 + 1. assign V258238 = V479323. assign V892244 = V154715. assign V922724 = V827431. assign V899949 = V379623. assign V002347 = V204873. assign V306917 = V864196. assign V482555 = V549573 + 1. assign V928775 = V375443 - 1. assign V412811 = V574017. assign V040668 = V928775 - 1. assign V840801 = V349632. assign V634288 = V496124. assign V211321 = V061477. assign V151383 = V879059. assign V837377 = V337006. assign V661099 = V968472 - 1. assign V391076 = V862710 + 1. assign V015215 = V494042 + 1. assign V733856 = V428718. assign V937790 = V694569 + 1. assign V179426 = V574267. assign V706223 = V760983 + 1. assign V969096 = V684535 - 1. assign V716766 = V482555. assign V745873 = V973713 - 1. assign V571691 = V442817 + 1. assign V040040 = V855211 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V574017 = V864196 - 1. assign V256236 = V745873 - 1. assign V540061 = V922724 + 1. assign V710915 = V028588 - 1. assign V544136 = V025272 + 1. assign V428718 = V250239 - 1. assign V879059 = V210361 - 1. assign V771425 = V337006 + 1. assign V684535 = V306917 - 1. assign V876435 = V463882 + 1. assign V561361 = V109973 + 1. assign V694569 = V479443 + 1. assign V061477 = V379623. assign V099018 = V442817. assign V549155 = V879059 + 1. assign V470093 = V760983. assign V861638 = V125041 - 1. assign V708956 = V968087. assign V388483 = V902881 - 1. assign V801542 = V864196. assign V442817 = V639921 - 1. assign V574267 = V070461. assign V404610 = V827431 - 1. assign V377345 = V379623 + 1. assign V976715 = V306917 + 1. assign V973713 = V864196 + 1. assign V968087 = V428718 + 1. assign V508756 = V574017 - 1. assign V147443 = V162681. assign V186634 = V479323 + 1. assign V154715 = V864196 + 1. assign V533806 = V495884 + 1. assign V819724 = V973713 - 1. assign V316783 = V002347. assign V760983 = V482555. assign V479323 = V540061 + 1. assign V218128 = V482555. assign V332539 = V412811. assign V028588 = V539258 - 1. assign V693660 = V402134. assign V204873 = V428718 + 1. assign V310587 = V973713. assign V496124 = V892244 - 1. assign V402134 = V760983 + 1. assign V162681 = V837377. assign V630928 = V211753 + 1. assign V314371 = V199324 + 1. assign V063917 = V819724 + 1. assign V701426 = V210361 + 1. assign V672970 = V976715. assign V622965 = V377345 - 1. assign V109973 = V377393 + 1. assign V333250 = V973713. assign V091306 = V151383 + 1. assign V125041 = V125380 - 1. assign V374095 = V549573 + 1. assign V039051 = V869914. assign V862710 = V250239. assign V211753 = V379623 - 1. assign V463882 = V496124 + 1. assign V660564 = V794291. assign V040299 = V864196 + 1. assign V881153 = V840801 + 1. assign V070461 = V869914. assign V151678 = V211753 + 1. assign V337006 = V495884 - 1. assign V625546 = V733856. assign V483303 = V151383. assign V031389 = V660564 + 1. assign V947042 = V015215 + 1. assign V060562 = V928775. assign V815200 = V042903 + 1. assign V794291 = V379623 + 1. assign V855211 = V861638. assign V973341 = V539258. assign V343473 = V301416 - 1. assign V329053 = V039051. assign V477023 = V377393 - 1. assign V892039 = V492707 + 1. assign V639921 = V973713. assign V499787 = V693660 + 1. assign V246901 = V533806 - 1. assign V067626 = V025272. assign V549573 = V892244 + 1. assign V869914 = V574017. assign V451065 = 7. assign V287664 = V479443 + 1. assign V760111 = V451065 + 1. assign V495884 = V892244 - 1. assign V349632 = V639921 + 1. assign V902881 = V428718. assign V398836 = V684535. assign V071935 = V428718. assign V330800 = V210361 + 1. assign V539258 = V250239 - 1. assign V640968 = V660564. assign V465844 = V246901 - 1. assign V042903 = V337006 - 1. assign V479443 = V377393 + 1. assign V494042 = V760983. assign V097804 = V301416 + 1. assign V716341 = V386761 + 1. assign V148526 = V794291 + 1. assign V125380 = V061477 + 1. assign V377393 = V879059 + 1. assign V379623 = V250239 - 1. assign V864196 = V250239 - 1. assign V635523 = V210361. assign V798997 = V210361. assign V772108 = V561361. assign V301416 = V733856 - 1. assign V396751 = V639921 + 1. assign V827431 = V154715 - 1. assign V547504 = V396751 + 1. assign V915934 = V549155 + 1. assign V833259 = V470093 + 1. assign V287666 = V025272 - 1. assign V887839 = V258238. assign V025272 = V495884. assign V647388 = V508756 - 1. assign V386761 = V915934 - 1. assign V340230 = V968472. assign V375443 = V539258 - 1. assign V011921 = V969096 + 1. assign V257265 = V485374 + 1. assign V199324 = V179426. assign V464311 = V162681. assign V780046 = V693660. assign V589225 = V109973 + 1. assign V499829 = V063917 - 1. assign V444551 = V827431. assign V968472 = V306917 + 1. assign V458577 = V186634 + 1. assign V123914 = V337006. assign V492707 = V301416 + 1. assign V256677 = V798997 + 1. assign V532226 = V257265 + 1. assign V886131 = V973341. assign V711138 = V639921 + 1. assign V932012 = V162681 + 1. assign V235358 = V899949. assign V210361 = V892244 - 1. assign V806011 = V827431 + 1. assign V142156 = V840801 + 1. assign V485374 = V660564 + 1. assign V258238 = V479323. assign V892244 = V154715. assign V922724 = V827431. assign V899949 = V379623. assign V002347 = V204873. assign V306917 = V864196. assign V482555 = V549573 + 1. assign V928775 = V375443 - 1. assign V412811 = V574017. assign V040668 = V928775 - 1. assign V840801 = V349632. assign V634288 = V496124. assign V211321 = V061477. assign V151383 = V879059. assign V837377 = V337006. assign V661099 = V968472 - 1. assign V391076 = V862710 + 1. assign V015215 = V494042 + 1. assign V733856 = V428718. assign V937790 = V694569 + 1. assign V179426 = V574267. assign V706223 = V760983 + 1. assign V969096 = V684535 - 1. assign V716766 = V482555. assign V745873 = V973713 - 1. assign V571691 = V442817 + 1. assign V040040 = V855211 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV451065 = 7;\n\nFrom these direct assignment(s), we have: \nV760111 = V451065 + 1 = 7 + 1 =8;\nNo other variables can be derived from V760111;\nNo other variables can be derived from V451065;\n\nNow we have done all the calculations. Derived variables are:\nV451065 = 7;\nV760111 = 8;\n\nNow we have finished this problem. ANSWER:\nV451065\n", "role": "assistant" } ]

[ "V630355" ]

[ { "content": "<context>\nassign V134999 = V296727 - 1. assign V486896 = V969897 - 1. assign V112213 = V237307 - 1. assign V830891 = V297581 + 1. assign V847161 = V969897 + 1. assign V244047 = V385647 + 1. assign V789367 = V558161 + 1. assign V385647 = V996981 - 1. assign V184520 = V726095 + 1. assign V286278 = V707571. assign V050706 = V533940. assign V969583 = V296727 + 1. assign V630355 = V841334 - 1. assign V494089 = V486896. assign V708783 = V297581 - 1. assign V841334 = 10. assign V664148 = V396587. assign V654168 = V565079. assign V326594 = V930437 - 1. assign V372897 = V271586 + 1. assign V726095 = V996981 - 1. assign V453959 = V638754 - 1. assign V454270 = V969897. assign V703719 = V810860. assign V536934 = V904930 - 1. assign V375343 = V558161. assign V629193 = V558161 - 1. assign V125839 = V847161 + 1. assign V467033 = V930437. assign V969897 = V654168. assign V094109 = V497852 + 1. assign V792022 = V629193 + 1. assign V583428 = V307919 + 1. assign V421791 = V104399. assign V922532 = V804616 - 1. assign V596940 = V753000 + 1. assign V339439 = V112213. assign V799256 = V972164. assign V857874 = V910613. assign V237307 = V409237. assign V804616 = V497852. assign V424214 = V296727 - 1. assign V374534 = V654168 - 1. assign V930437 = V969897 - 1. assign V004361 = V598997. assign V746717 = V670210. assign V039238 = V424214. assign V398191 = V932651 + 1. assign V856316 = V699710 - 1. assign V315636 = V195632 + 1. assign V753109 = V294700. assign V416090 = V847161. assign V910613 = V847161 + 1. assign V058010 = V670210 + 1. assign V751621 = V385647 + 1. assign V610319 = V396587 + 1. assign V442939 = V804616 - 1. assign V244639 = V932651. assign V397443 = V039238. assign V969131 = V664148 - 1. assign V703745 = V723485. assign V428360 = V039238. assign V104399 = V375343. assign V363162 = V063312. assign V863577 = V703719 - 1. assign V182341 = V223242. assign V395836 = V402301 + 1. assign V404120 = V109428. assign V824265 = V857874 - 1. assign V565079 = V694910 - 1. assign V296727 = V565079 - 1. assign V356544 = V296727. assign V301539 = V454270 + 1. assign V364645 = V359009 - 1. assign V354765 = V558161 - 1. assign V466989 = V024143 - 1. assign V178036 = V399828. assign V396587 = V969897 + 1. assign V699710 = V969897 + 1. assign V606908 = V417063 + 1. assign V165433 = V375343. assign V409595 = V439222 - 1. assign V043087 = V969583 + 1. assign V685166 = V039238 - 1. assign V195632 = V596940 - 1. assign V904930 = V374534. assign V421044 = V004361. assign V680705 = V395836 + 1. assign V248236 = V504314. assign V653615 = V910613. assign V866235 = V969897 - 1. assign V223242 = V359009 + 1. assign V941380 = V633842 - 1. assign V634955 = V397443 + 1. assign V699441 = V391711 + 1. assign V525759 = V958500 + 1. assign V820248 = V058010 + 1. assign V860555 = V397443 - 1. assign V664436 = V703719 - 1. assign V633842 = V589721 + 1. assign V810860 = V694910. assign V996981 = V683502. assign V972164 = V040071 - 1. assign V439222 = V610319. assign V763913 = V866235 - 1. assign V857129 = V536934 - 1. assign V150833 = V359009. assign V703385 = V786058. assign V063312 = V237307 + 1. assign V307919 = V112213 - 1. assign V359009 = V683502 + 1. assign V932651 = V804616 + 1. assign V426505 = V040071. assign V621307 = V969131 + 1. assign V127273 = V708783 - 1. assign V292187 = V996981 - 1. assign V194019 = V409237. assign V417063 = V039238 + 1. assign V271586 = V654168 + 1. assign V402301 = V359009 - 1. assign V024143 = V723485. assign V558943 = V237307 + 1. assign V364389 = V467033. assign V959802 = V481702 - 1. assign V040071 = V374534 - 1. assign V028158 = V786058. assign V137990 = V708783 + 1. assign V533940 = V558161. assign V481702 = V375343 - 1. assign V204025 = V847161 + 1. assign V786058 = V439222. assign V753000 = V723485 + 1. assign V958500 = V598997 + 1. assign V395877 = V058010 - 1. assign V116271 = V751621. assign V201352 = V558161 + 1. assign V992714 = V703385 + 1. assign V362326 = V223242 + 1. assign V328911 = V359009 - 1. assign V707571 = V297581. assign V592043 = V375343 + 1. assign V638754 = V969897 + 1. assign V290766 = V958500 + 1. assign V558161 = V683502 + 1. assign V301974 = V372897 + 1. assign V297581 = V969897 - 1. assign V399828 = V699710. assign V770992 = V301539. assign V079369 = V861802 + 1. assign V574460 = V385647. assign V185043 = V395877. assign V598997 = V364645 - 1. assign V776414 = V364645. assign V497852 = V694910 + 1. assign V391711 = V996981 - 1. assign V896941 = V271586 - 1. assign V750050 = V763913. assign V504314 = V040071 - 1. assign V683502 = V694910. assign V109428 = V354765 - 1. assign V861802 = V558161. assign V294700 = V292187 + 1. assign V239865 = V896941 + 1. assign V670210 = V409237 + 1. assign V589721 = V753000. assign V605299 = V694910. assign V409237 = V694910. assign V892696 = V290766. assign V723485 = V297581. assign V288682 = V996981 - 1. assign V139978 = V703385 - 1. assign V566815 = V363162 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V134999 = V296727 - 1. assign V486896 = V969897 - 1. assign V112213 = V237307 - 1. assign V830891 = V297581 + 1. assign V847161 = V969897 + 1. assign V244047 = V385647 + 1. assign V789367 = V558161 + 1. assign V385647 = V996981 - 1. assign V184520 = V726095 + 1. assign V286278 = V707571. assign V050706 = V533940. assign V969583 = V296727 + 1. assign V630355 = V841334 - 1. assign V494089 = V486896. assign V708783 = V297581 - 1. assign V841334 = 10. assign V664148 = V396587. assign V654168 = V565079. assign V326594 = V930437 - 1. assign V372897 = V271586 + 1. assign V726095 = V996981 - 1. assign V453959 = V638754 - 1. assign V454270 = V969897. assign V703719 = V810860. assign V536934 = V904930 - 1. assign V375343 = V558161. assign V629193 = V558161 - 1. assign V125839 = V847161 + 1. assign V467033 = V930437. assign V969897 = V654168. assign V094109 = V497852 + 1. assign V792022 = V629193 + 1. assign V583428 = V307919 + 1. assign V421791 = V104399. assign V922532 = V804616 - 1. assign V596940 = V753000 + 1. assign V339439 = V112213. assign V799256 = V972164. assign V857874 = V910613. assign V237307 = V409237. assign V804616 = V497852. assign V424214 = V296727 - 1. assign V374534 = V654168 - 1. assign V930437 = V969897 - 1. assign V004361 = V598997. assign V746717 = V670210. assign V039238 = V424214. assign V398191 = V932651 + 1. assign V856316 = V699710 - 1. assign V315636 = V195632 + 1. assign V753109 = V294700. assign V416090 = V847161. assign V910613 = V847161 + 1. assign V058010 = V670210 + 1. assign V751621 = V385647 + 1. assign V610319 = V396587 + 1. assign V442939 = V804616 - 1. assign V244639 = V932651. assign V397443 = V039238. assign V969131 = V664148 - 1. assign V703745 = V723485. assign V428360 = V039238. assign V104399 = V375343. assign V363162 = V063312. assign V863577 = V703719 - 1. assign V182341 = V223242. assign V395836 = V402301 + 1. assign V404120 = V109428. assign V824265 = V857874 - 1. assign V565079 = V694910 - 1. assign V296727 = V565079 - 1. assign V356544 = V296727. assign V301539 = V454270 + 1. assign V364645 = V359009 - 1. assign V354765 = V558161 - 1. assign V466989 = V024143 - 1. assign V178036 = V399828. assign V396587 = V969897 + 1. assign V699710 = V969897 + 1. assign V606908 = V417063 + 1. assign V165433 = V375343. assign V409595 = V439222 - 1. assign V043087 = V969583 + 1. assign V685166 = V039238 - 1. assign V195632 = V596940 - 1. assign V904930 = V374534. assign V421044 = V004361. assign V680705 = V395836 + 1. assign V248236 = V504314. assign V653615 = V910613. assign V866235 = V969897 - 1. assign V223242 = V359009 + 1. assign V941380 = V633842 - 1. assign V634955 = V397443 + 1. assign V699441 = V391711 + 1. assign V525759 = V958500 + 1. assign V820248 = V058010 + 1. assign V860555 = V397443 - 1. assign V664436 = V703719 - 1. assign V633842 = V589721 + 1. assign V810860 = V694910. assign V996981 = V683502. assign V972164 = V040071 - 1. assign V439222 = V610319. assign V763913 = V866235 - 1. assign V857129 = V536934 - 1. assign V150833 = V359009. assign V703385 = V786058. assign V063312 = V237307 + 1. assign V307919 = V112213 - 1. assign V359009 = V683502 + 1. assign V932651 = V804616 + 1. assign V426505 = V040071. assign V621307 = V969131 + 1. assign V127273 = V708783 - 1. assign V292187 = V996981 - 1. assign V194019 = V409237. assign V417063 = V039238 + 1. assign V271586 = V654168 + 1. assign V402301 = V359009 - 1. assign V024143 = V723485. assign V558943 = V237307 + 1. assign V364389 = V467033. assign V959802 = V481702 - 1. assign V040071 = V374534 - 1. assign V028158 = V786058. assign V137990 = V708783 + 1. assign V533940 = V558161. assign V481702 = V375343 - 1. assign V204025 = V847161 + 1. assign V786058 = V439222. assign V753000 = V723485 + 1. assign V958500 = V598997 + 1. assign V395877 = V058010 - 1. assign V116271 = V751621. assign V201352 = V558161 + 1. assign V992714 = V703385 + 1. assign V362326 = V223242 + 1. assign V328911 = V359009 - 1. assign V707571 = V297581. assign V592043 = V375343 + 1. assign V638754 = V969897 + 1. assign V290766 = V958500 + 1. assign V558161 = V683502 + 1. assign V301974 = V372897 + 1. assign V297581 = V969897 - 1. assign V399828 = V699710. assign V770992 = V301539. assign V079369 = V861802 + 1. assign V574460 = V385647. assign V185043 = V395877. assign V598997 = V364645 - 1. assign V776414 = V364645. assign V497852 = V694910 + 1. assign V391711 = V996981 - 1. assign V896941 = V271586 - 1. assign V750050 = V763913. assign V504314 = V040071 - 1. assign V683502 = V694910. assign V109428 = V354765 - 1. assign V861802 = V558161. assign V294700 = V292187 + 1. assign V239865 = V896941 + 1. assign V670210 = V409237 + 1. assign V589721 = V753000. assign V605299 = V694910. assign V409237 = V694910. assign V892696 = V290766. assign V723485 = V297581. assign V288682 = V996981 - 1. assign V139978 = V703385 - 1. assign V566815 = V363162 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV841334 = 10;\n\nFrom these direct assignment(s), we have: \nV630355 = V841334 - 1 = 10 - 1 =9;\nNo other variables can be derived from V630355;\nNo other variables can be derived from V841334;\n\nNow we have done all the calculations. Derived variables are:\nV841334 = 10;\nV630355 = 9;\n\nNow we have finished this problem. ANSWER:\nV630355\n", "role": "assistant" } ]

[ "V459887", "V089573" ]

[ { "content": "<context>\nassign V564433 = V819549 + 1. assign V311593 = V516258. assign V782646 = V881450. assign V099112 = V258294 + 1. assign V270416 = V672391. assign V404580 = V541015 - 1. assign V505038 = V542109 - 1. assign V145337 = V381584 - 1. assign V273305 = V728555. assign V611877 = V205850 - 1. assign V576730 = V062214 - 1. assign V783929 = V031468 + 1. assign V369389 = V701959. assign V542215 = V819549. assign V225210 = V495257 + 1. assign V672391 = V682254. assign V353745 = V980997. assign V142988 = V907231 - 1. assign V258233 = V596862. assign V728555 = V808787 + 1. assign V685303 = V672391. assign V277978 = V629331 + 1. assign V701959 = V372539 - 1. assign V814380 = V414400 + 1. assign V742208 = V222968. assign V629331 = V099790 - 1. assign V788242 = V516258 - 1. assign V024863 = V727014. assign V511655 = V881450 - 1. assign V768958 = V675595 + 1. assign V620639 = V819549 + 1. assign V639240 = V482027 + 1. assign V525617 = V629331. assign V980997 = V099790 + 1. assign V808787 = V199604 + 1. assign V805864 = V623866 - 1. assign V721138 = V277978. assign V099790 = V516258 - 1. assign V369157 = V523501 + 1. assign V052732 = V523501. assign V596862 = V389620. assign V303844 = V602728 + 1. assign V751231 = V623866 - 1. assign V926120 = V197093. assign V425472 = V511655 - 1. assign V395638 = V629331 + 1. assign V064459 = V511655 - 1. assign V067757 = V682254. assign V471197 = V494015 - 1. assign V302572 = V541015 - 1. assign V938935 = V277978 - 1. assign V564606 = V407009 + 1. assign V055101 = V513148. assign V495127 = V721138. assign V112409 = V404580 - 1. assign V495257 = V701959. assign V000220 = V697412 + 1. assign V808110 = V415158 - 1. assign V181405 = V494015 - 1. assign V389620 = V550252 + 1. assign V189147 = V311593 - 1. assign V538246 = V682254. assign V258294 = V031468 - 1. assign V407009 = V538246. assign V413008 = V840530 - 1. assign V840530 = V739966. assign V251614 = V639240 - 1. assign V468127 = V559887 + 1. assign V727014 = V682254. assign V482027 = V414400 + 1. assign V567174 = V682254. assign V171822 = V542215 + 1. assign V152135 = V682254. assign V880369 = V623866. assign V089573 = V459887. assign V577164 = V839356 - 1. assign V414400 = V516258 + 1. assign V612699 = V564606 - 1. assign V558871 = V414400. assign V482907 = V721138 + 1. assign V881654 = V413008 + 1. assign V259297 = V567174 + 1. assign V623866 = V541015 - 1. assign V697412 = V839356 - 1. assign V938813 = V258294 - 1. assign V166973 = V938935. assign V617065 = V031468 - 1. assign V415158 = V623866 + 1. assign V091459 = V411362 - 1. assign V469962 = V024863 - 1. assign V447474 = V597831 - 1. assign V750281 = V559887 - 1. assign V559887 = V620639 - 1. assign V872936 = V303844. assign V823574 = V225210. assign V381584 = V629331 + 1. assign V221488 = V273305. assign V672874 = V542215 - 1. assign V423613 = V059444 - 1. assign V285375 = V541015 - 1. assign V823603 = V205850. assign V064560 = V611877 - 1. assign V346051 = V052732 - 1. assign V819549 = V031468 + 1. assign V839356 = V721138 - 1. assign V232402 = V675595 + 1. assign V109359 = V457999 + 1. assign V881450 = V819549 - 1. assign V649897 = V782646. assign V675595 = V611877 + 1. assign V494015 = V542109. assign V630609 = V991456 + 1. assign V907231 = V630609 - 1. assign V407096 = V302572 - 1. assign V197093 = V395638 - 1. assign V062214 = V727014. assign V287233 = V031468. assign V537315 = V025522 + 1. assign V991456 = V788242 + 1. assign V424254 = V516258 + 1. assign V115312 = V303844 + 1. assign V457999 = V567174. assign V326259 = V847515. assign V497876 = V550252 - 1. assign V865688 = V808110 + 1. assign V847691 = V372539 - 1. assign V411362 = V649897. assign V376086 = V495257. assign V845611 = V623866. assign V544831 = V739966 + 1. assign V838813 = V809488. assign V205850 = V152135 + 1. assign V702589 = V222968 - 1. assign V488812 = V189147 - 1. assign V847515 = V372539 + 1. assign V025522 = V488812 - 1. assign V848937 = V181405 + 1. assign V541015 = V682254 - 1. assign V759881 = V285375. assign V299746 = V395638 - 1. assign V644585 = V495127 + 1. assign V516258 = V031468 + 1. assign V550252 = V597831. assign V090218 = V839356 + 1. assign V513938 = V839356 - 1. assign V255238 = V287233 + 1. assign V870039 = V072794. assign V199604 = V152135 - 1. assign V597831 = V630609 - 1. assign V739966 = V623866. assign V794066 = V259297 + 1. assign V302156 = V181405 + 1. assign V072794 = V576730. assign V809488 = V513938 + 1. assign V513148 = V064560 + 1. assign V667145 = V544831 - 1. assign V594798 = V629331 + 1. assign V833333 = V542109 - 1. assign V564468 = V381584 - 1. assign V459887 = 10. assign V682254 = V031468. assign V667998 = V768958 - 1. assign V278450 = V759881 + 1. assign V468218 = V542109. assign V372539 = V059444. assign V542109 = V031468 - 1. assign V226443 = V222968 - 1. assign V059444 = V542109 - 1. assign V602728 = V682254 + 1. assign V222968 = V808787. assign V523501 = V415158 - 1. assign V211851 = V721138.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V564433 = V819549 + 1. assign V311593 = V516258. assign V782646 = V881450. assign V099112 = V258294 + 1. assign V270416 = V672391. assign V404580 = V541015 - 1. assign V505038 = V542109 - 1. assign V145337 = V381584 - 1. assign V273305 = V728555. assign V611877 = V205850 - 1. assign V576730 = V062214 - 1. assign V783929 = V031468 + 1. assign V369389 = V701959. assign V542215 = V819549. assign V225210 = V495257 + 1. assign V672391 = V682254. assign V353745 = V980997. assign V142988 = V907231 - 1. assign V258233 = V596862. assign V728555 = V808787 + 1. assign V685303 = V672391. assign V277978 = V629331 + 1. assign V701959 = V372539 - 1. assign V814380 = V414400 + 1. assign V742208 = V222968. assign V629331 = V099790 - 1. assign V788242 = V516258 - 1. assign V024863 = V727014. assign V511655 = V881450 - 1. assign V768958 = V675595 + 1. assign V620639 = V819549 + 1. assign V639240 = V482027 + 1. assign V525617 = V629331. assign V980997 = V099790 + 1. assign V808787 = V199604 + 1. assign V805864 = V623866 - 1. assign V721138 = V277978. assign V099790 = V516258 - 1. assign V369157 = V523501 + 1. assign V052732 = V523501. assign V596862 = V389620. assign V303844 = V602728 + 1. assign V751231 = V623866 - 1. assign V926120 = V197093. assign V425472 = V511655 - 1. assign V395638 = V629331 + 1. assign V064459 = V511655 - 1. assign V067757 = V682254. assign V471197 = V494015 - 1. assign V302572 = V541015 - 1. assign V938935 = V277978 - 1. assign V564606 = V407009 + 1. assign V055101 = V513148. assign V495127 = V721138. assign V112409 = V404580 - 1. assign V495257 = V701959. assign V000220 = V697412 + 1. assign V808110 = V415158 - 1. assign V181405 = V494015 - 1. assign V389620 = V550252 + 1. assign V189147 = V311593 - 1. assign V538246 = V682254. assign V258294 = V031468 - 1. assign V407009 = V538246. assign V413008 = V840530 - 1. assign V840530 = V739966. assign V251614 = V639240 - 1. assign V468127 = V559887 + 1. assign V727014 = V682254. assign V482027 = V414400 + 1. assign V567174 = V682254. assign V171822 = V542215 + 1. assign V152135 = V682254. assign V880369 = V623866. assign V089573 = V459887. assign V577164 = V839356 - 1. assign V414400 = V516258 + 1. assign V612699 = V564606 - 1. assign V558871 = V414400. assign V482907 = V721138 + 1. assign V881654 = V413008 + 1. assign V259297 = V567174 + 1. assign V623866 = V541015 - 1. assign V697412 = V839356 - 1. assign V938813 = V258294 - 1. assign V166973 = V938935. assign V617065 = V031468 - 1. assign V415158 = V623866 + 1. assign V091459 = V411362 - 1. assign V469962 = V024863 - 1. assign V447474 = V597831 - 1. assign V750281 = V559887 - 1. assign V559887 = V620639 - 1. assign V872936 = V303844. assign V823574 = V225210. assign V381584 = V629331 + 1. assign V221488 = V273305. assign V672874 = V542215 - 1. assign V423613 = V059444 - 1. assign V285375 = V541015 - 1. assign V823603 = V205850. assign V064560 = V611877 - 1. assign V346051 = V052732 - 1. assign V819549 = V031468 + 1. assign V839356 = V721138 - 1. assign V232402 = V675595 + 1. assign V109359 = V457999 + 1. assign V881450 = V819549 - 1. assign V649897 = V782646. assign V675595 = V611877 + 1. assign V494015 = V542109. assign V630609 = V991456 + 1. assign V907231 = V630609 - 1. assign V407096 = V302572 - 1. assign V197093 = V395638 - 1. assign V062214 = V727014. assign V287233 = V031468. assign V537315 = V025522 + 1. assign V991456 = V788242 + 1. assign V424254 = V516258 + 1. assign V115312 = V303844 + 1. assign V457999 = V567174. assign V326259 = V847515. assign V497876 = V550252 - 1. assign V865688 = V808110 + 1. assign V847691 = V372539 - 1. assign V411362 = V649897. assign V376086 = V495257. assign V845611 = V623866. assign V544831 = V739966 + 1. assign V838813 = V809488. assign V205850 = V152135 + 1. assign V702589 = V222968 - 1. assign V488812 = V189147 - 1. assign V847515 = V372539 + 1. assign V025522 = V488812 - 1. assign V848937 = V181405 + 1. assign V541015 = V682254 - 1. assign V759881 = V285375. assign V299746 = V395638 - 1. assign V644585 = V495127 + 1. assign V516258 = V031468 + 1. assign V550252 = V597831. assign V090218 = V839356 + 1. assign V513938 = V839356 - 1. assign V255238 = V287233 + 1. assign V870039 = V072794. assign V199604 = V152135 - 1. assign V597831 = V630609 - 1. assign V739966 = V623866. assign V794066 = V259297 + 1. assign V302156 = V181405 + 1. assign V072794 = V576730. assign V809488 = V513938 + 1. assign V513148 = V064560 + 1. assign V667145 = V544831 - 1. assign V594798 = V629331 + 1. assign V833333 = V542109 - 1. assign V564468 = V381584 - 1. assign V459887 = 10. assign V682254 = V031468. assign V667998 = V768958 - 1. assign V278450 = V759881 + 1. assign V468218 = V542109. assign V372539 = V059444. assign V542109 = V031468 - 1. assign V226443 = V222968 - 1. assign V059444 = V542109 - 1. assign V602728 = V682254 + 1. assign V222968 = V808787. assign V523501 = V415158 - 1. assign V211851 = V721138.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV459887 = 10;\n\nFrom these direct assignment(s), we have: \nV089573 = V459887 = 10;\nNo other variables can be derived from V089573;\nNo other variables can be derived from V459887;\n\nNow we have done all the calculations. Derived variables are:\nV459887 = 10;\nV089573 = 10;\n\nNow we have finished this problem. ANSWER:\nV459887, V089573\n", "role": "assistant" } ]

[ "V209341" ]

[ { "content": "<context>\nassign V370598 = V248959. assign V319467 = V359885 - 1. assign V238792 = V212715 + 1. assign V438350 = V053471. assign V649287 = V525417 + 1. assign V632062 = V114936. assign V877507 = V114936 - 1. assign V886837 = V113337 + 1. assign V823544 = V114936 + 1. assign V408951 = V760660 - 1. assign V775679 = V706890 + 1. assign V039602 = V472107 - 1. assign V138508 = V528361 + 1. assign V267483 = V502181 - 1. assign V767241 = V212715 + 1. assign V360219 = V114936 - 1. assign V209341 = V399452 - 1. assign V072697 = V180338 + 1. assign V735108 = V186034 - 1. assign V855936 = V760660 - 1. assign V221590 = V365629 - 1. assign V999276 = V537854 + 1. assign V759218 = V386215. assign V328591 = V488829 + 1. assign V314090 = V212715 - 1. assign V468817 = V502181. assign V255665 = V328591. assign V960242 = V230736. assign V755692 = V707009. assign V824609 = V408754 - 1. assign V543526 = V328591 + 1. assign V527580 = V218874. assign V113337 = V040566. assign V345752 = V053471 + 1. assign V641015 = V186034 + 1. assign V273717 = V010809 - 1. assign V365629 = V438350 - 1. assign V855959 = V345752. assign V377857 = V267855 + 1. assign V180338 = V053471 + 1. assign V221464 = V114936 + 1. assign V525417 = V706890. assign V263907 = V472107. assign V815450 = V408754 - 1. assign V197556 = V580772 - 1. assign V502181 = V212715. assign V389505 = V706890. assign V036819 = V568383. assign V879736 = V760660 - 1. assign V933434 = V433444 + 1. assign V490630 = V034147 - 1. assign V399452 = 1. assign V642110 = V023473 - 1. assign V886428 = V646900. assign V850862 = V408951 + 1. assign V709867 = V858117 + 1. assign V359885 = V675418. assign V408754 = V762209. assign V972691 = V879736. assign V744779 = V760660. assign V972801 = V519710 + 1. assign V649866 = V267855 + 1. assign V893216 = V639456 + 1. assign V212715 = V023473 - 1. assign V292234 = V706890 + 1. assign V306262 = V197556. assign V778440 = V441358 + 1. assign V486871 = V267483. assign V885813 = V114936 + 1. assign V568383 = V180338 - 1. assign V369625 = V033870 + 1. assign V762209 = V212715 + 1. assign V707009 = V212715 + 1. assign V563379 = V255665 + 1. assign V118504 = V879736 - 1. assign V226161 = V255665 + 1. assign V470012 = V040566 - 1. assign V145144 = V370598. assign V478599 = V823544. assign V749404 = V537944 + 1. assign V858169 = V692529 - 1. assign V537944 = V370598 + 1. assign V871378 = V164614 + 1. assign V899122 = V638451 - 1. assign V172191 = V380900 + 1. assign V974175 = V642110 + 1. assign V170523 = V807029 - 1. assign V858117 = V706890. assign V386215 = V692004 - 1. assign V010809 = V113700. assign V186034 = V114936 + 1. assign V034147 = V328591 - 1. assign V931852 = V408754. assign V144314 = V172191 - 1. assign V692004 = V858117 - 1. assign V864337 = V380900. assign V904130 = V641015. assign V351979 = V502181. assign V248959 = V221464 + 1. assign V602039 = V365629 - 1. assign V023473 = V639456 + 1. assign V500484 = V113337 + 1. assign V997102 = V186034. assign V077585 = V441137. assign V929222 = V522815 - 1. assign V692529 = V415314 - 1. assign V088393 = V889175. assign V830573 = V221464. assign V298436 = V543526 + 1. assign V033870 = V221464 - 1. assign V951896 = V889175 + 1. assign V454950 = V010809 + 1. assign V113700 = V040566 - 1. assign V794523 = V638451. assign V458891 = V638451. assign V528830 = V370598. assign V541772 = V121040. assign V472107 = V680559 + 1. assign V889175 = V528830 + 1. assign V894093 = V023473. assign V877379 = V389505 - 1. assign V267855 = V762209. assign V760660 = V488829 + 1. assign V164614 = V502181 + 1. assign V476999 = V885813 - 1. assign V130343 = V580772. assign V736561 = V345752 + 1. assign V812983 = V204025 - 1. assign V686147 = V904130 + 1. assign V412715 = V886428 + 1. assign V599507 = V886428 + 1. assign V441358 = V707009. assign V356861 = V255665 + 1. assign V053471 = V221464 - 1. assign V441137 = V351979 + 1. assign V415314 = V642110 + 1. assign V380900 = V767241 + 1. assign V580772 = V543526 - 1. assign V483700 = V767241 + 1. assign V646900 = V931852. assign V394082 = V931852 - 1. assign V040566 = V692004. assign V218874 = V114936 - 1. assign V639456 = V692004 + 1. assign V947997 = V974175 - 1. assign V522815 = V767241 + 1. assign V253766 = V365629 - 1. assign V638451 = V386215. assign V922397 = V537854 - 1. assign V114936 = V706890. assign V266899 = V858117 + 1. assign V433444 = V053471. assign V675418 = V186034. assign V828527 = V997102 - 1. assign V528361 = V113337. assign V812899 = V172191 + 1. assign V537854 = V266899 - 1. assign V561957 = V639456 - 1. assign V230736 = V248959 - 1. assign V625085 = V365629. assign V254172 = V642110 + 1. assign V121040 = V709867. assign V680559 = V767241. assign V488829 = V675418 - 1. assign V656121 = V144314 - 1. assign V883842 = V164614. assign V647012 = V490630. assign V204025 = V023473 + 1. assign V807029 = V010809 - 1. assign V622333 = V639456 + 1. assign V519710 = V858117 - 1. assign V072846 = V351979 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V370598 = V248959. assign V319467 = V359885 - 1. assign V238792 = V212715 + 1. assign V438350 = V053471. assign V649287 = V525417 + 1. assign V632062 = V114936. assign V877507 = V114936 - 1. assign V886837 = V113337 + 1. assign V823544 = V114936 + 1. assign V408951 = V760660 - 1. assign V775679 = V706890 + 1. assign V039602 = V472107 - 1. assign V138508 = V528361 + 1. assign V267483 = V502181 - 1. assign V767241 = V212715 + 1. assign V360219 = V114936 - 1. assign V209341 = V399452 - 1. assign V072697 = V180338 + 1. assign V735108 = V186034 - 1. assign V855936 = V760660 - 1. assign V221590 = V365629 - 1. assign V999276 = V537854 + 1. assign V759218 = V386215. assign V328591 = V488829 + 1. assign V314090 = V212715 - 1. assign V468817 = V502181. assign V255665 = V328591. assign V960242 = V230736. assign V755692 = V707009. assign V824609 = V408754 - 1. assign V543526 = V328591 + 1. assign V527580 = V218874. assign V113337 = V040566. assign V345752 = V053471 + 1. assign V641015 = V186034 + 1. assign V273717 = V010809 - 1. assign V365629 = V438350 - 1. assign V855959 = V345752. assign V377857 = V267855 + 1. assign V180338 = V053471 + 1. assign V221464 = V114936 + 1. assign V525417 = V706890. assign V263907 = V472107. assign V815450 = V408754 - 1. assign V197556 = V580772 - 1. assign V502181 = V212715. assign V389505 = V706890. assign V036819 = V568383. assign V879736 = V760660 - 1. assign V933434 = V433444 + 1. assign V490630 = V034147 - 1. assign V399452 = 1. assign V642110 = V023473 - 1. assign V886428 = V646900. assign V850862 = V408951 + 1. assign V709867 = V858117 + 1. assign V359885 = V675418. assign V408754 = V762209. assign V972691 = V879736. assign V744779 = V760660. assign V972801 = V519710 + 1. assign V649866 = V267855 + 1. assign V893216 = V639456 + 1. assign V212715 = V023473 - 1. assign V292234 = V706890 + 1. assign V306262 = V197556. assign V778440 = V441358 + 1. assign V486871 = V267483. assign V885813 = V114936 + 1. assign V568383 = V180338 - 1. assign V369625 = V033870 + 1. assign V762209 = V212715 + 1. assign V707009 = V212715 + 1. assign V563379 = V255665 + 1. assign V118504 = V879736 - 1. assign V226161 = V255665 + 1. assign V470012 = V040566 - 1. assign V145144 = V370598. assign V478599 = V823544. assign V749404 = V537944 + 1. assign V858169 = V692529 - 1. assign V537944 = V370598 + 1. assign V871378 = V164614 + 1. assign V899122 = V638451 - 1. assign V172191 = V380900 + 1. assign V974175 = V642110 + 1. assign V170523 = V807029 - 1. assign V858117 = V706890. assign V386215 = V692004 - 1. assign V010809 = V113700. assign V186034 = V114936 + 1. assign V034147 = V328591 - 1. assign V931852 = V408754. assign V144314 = V172191 - 1. assign V692004 = V858117 - 1. assign V864337 = V380900. assign V904130 = V641015. assign V351979 = V502181. assign V248959 = V221464 + 1. assign V602039 = V365629 - 1. assign V023473 = V639456 + 1. assign V500484 = V113337 + 1. assign V997102 = V186034. assign V077585 = V441137. assign V929222 = V522815 - 1. assign V692529 = V415314 - 1. assign V088393 = V889175. assign V830573 = V221464. assign V298436 = V543526 + 1. assign V033870 = V221464 - 1. assign V951896 = V889175 + 1. assign V454950 = V010809 + 1. assign V113700 = V040566 - 1. assign V794523 = V638451. assign V458891 = V638451. assign V528830 = V370598. assign V541772 = V121040. assign V472107 = V680559 + 1. assign V889175 = V528830 + 1. assign V894093 = V023473. assign V877379 = V389505 - 1. assign V267855 = V762209. assign V760660 = V488829 + 1. assign V164614 = V502181 + 1. assign V476999 = V885813 - 1. assign V130343 = V580772. assign V736561 = V345752 + 1. assign V812983 = V204025 - 1. assign V686147 = V904130 + 1. assign V412715 = V886428 + 1. assign V599507 = V886428 + 1. assign V441358 = V707009. assign V356861 = V255665 + 1. assign V053471 = V221464 - 1. assign V441137 = V351979 + 1. assign V415314 = V642110 + 1. assign V380900 = V767241 + 1. assign V580772 = V543526 - 1. assign V483700 = V767241 + 1. assign V646900 = V931852. assign V394082 = V931852 - 1. assign V040566 = V692004. assign V218874 = V114936 - 1. assign V639456 = V692004 + 1. assign V947997 = V974175 - 1. assign V522815 = V767241 + 1. assign V253766 = V365629 - 1. assign V638451 = V386215. assign V922397 = V537854 - 1. assign V114936 = V706890. assign V266899 = V858117 + 1. assign V433444 = V053471. assign V675418 = V186034. assign V828527 = V997102 - 1. assign V528361 = V113337. assign V812899 = V172191 + 1. assign V537854 = V266899 - 1. assign V561957 = V639456 - 1. assign V230736 = V248959 - 1. assign V625085 = V365629. assign V254172 = V642110 + 1. assign V121040 = V709867. assign V680559 = V767241. assign V488829 = V675418 - 1. assign V656121 = V144314 - 1. assign V883842 = V164614. assign V647012 = V490630. assign V204025 = V023473 + 1. assign V807029 = V010809 - 1. assign V622333 = V639456 + 1. assign V519710 = V858117 - 1. assign V072846 = V351979 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV399452 = 1;\n\nFrom these direct assignment(s), we have: \nV209341 = V399452 - 1 = 1 - 1 =0;\nNo other variables can be derived from V209341;\nNo other variables can be derived from V399452;\n\nNow we have done all the calculations. Derived variables are:\nV399452 = 1;\nV209341 = 0;\n\nNow we have finished this problem. ANSWER:\nV209341\n", "role": "assistant" } ]

[ "V360049" ]

[ { "content": "<context>\nassign V061454 = V555370. assign V264372 = V412289 + 1. assign V209702 = V960776. assign V382193 = V474404. assign V700734 = V304964 + 1. assign V474044 = V423935 - 1. assign V591473 = V920899. assign V402363 = V295740 + 1. assign V982893 = V627005. assign V990532 = V495612 + 1. assign V053871 = V841291. assign V369606 = V369269 - 1. assign V083272 = V540400 + 1. assign V771449 = V360049 + 1. assign V498855 = V418989. assign V820381 = V915299 + 1. assign V941532 = V495612 - 1. assign V626208 = V925953 - 1. assign V951457 = V284816. assign V091049 = V543655 - 1. assign V233911 = V629135 + 1. assign V116201 = V335079 - 1. assign V258477 = V833354. assign V888182 = V233911 + 1. assign V152768 = V001283 + 1. assign V512990 = V540400 + 1. assign V824356 = V736289 - 1. assign V118232 = V629135 + 1. assign V436744 = V303745. assign V880865 = V597402 + 1. assign V585435 = V233911 + 1. assign V527271 = V488398 + 1. assign V170581 = V329384 - 1. assign V030494 = V984180. assign V693225 = V347623. assign V572307 = V152768. assign V619477 = V990532. assign V488398 = V550117 - 1. assign V772746 = V894579 - 1. assign V533623 = V662728 + 1. assign V187675 = V001283 - 1. assign V513322 = V223771. assign V869057 = V451544. assign V274857 = V793369. assign V833354 = V495612 + 1. assign V335079 = V258477. assign V844185 = V412289. assign V826504 = V824356 + 1. assign V739381 = V597402 + 1. assign V925953 = V722543 + 1. assign V184757 = V841291. assign V094596 = V001283 - 1. assign V820417 = V412289 - 1. assign V303745 = V118232. assign V150378 = V828861. assign V848572 = V873131 - 1. assign V874271 = V304964 + 1. assign V557736 = V772746. assign V884503 = V951457 - 1. assign V203903 = V369269. assign V210001 = V209702 + 1. assign V117072 = V555370. assign V329384 = V844185 - 1. assign V550198 = V873131 - 1. assign V250169 = V118232 + 1. assign V794435 = V627005 + 1. assign V729685 = V540400 - 1. assign V771021 = V558814 + 1. assign V011011 = V498855 - 1. assign V996897 = V915464. assign V920516 = V693225. assign V820682 = V051672. assign V328089 = V981440. assign V119411 = V210001 - 1. assign V146208 = V233911. assign V825079 = V523205 + 1. assign V328157 = V418989. assign V223771 = V540400 - 1. assign V910980 = V226454 - 1. assign V099977 = V722543. assign V304964 = V203279 + 1. assign V108006 = V844185. assign V722543 = V118232 + 1. assign V944853 = V722543 - 1. assign V841291 = V118232 + 1. assign V915464 = V140347 - 1. assign V550117 = V915299 + 1. assign V894579 = V369269 - 1. assign V337630 = V223771 + 1. assign V683536 = V512990. assign V451544 = V001283 + 1. assign V347623 = V882578 - 1. assign V585979 = V555370 - 1. assign V284816 = V920899 + 1. assign V652319 = V591473 + 1. assign V543655 = V844185 - 1. assign V295740 = V820417. assign V353846 = V232348 - 1. assign V889056 = V920899 - 1. assign V412289 = V873131 - 1. assign V003989 = V264372 + 1. assign V916252 = V001921. assign V597402 = V722543. assign V139146 = V250169. assign V463153 = V974812. assign V499030 = V652319. assign V203279 = V423935 - 1. assign V357092 = V513322 + 1. assign V997982 = V193204 + 1. assign V974812 = V972370 + 1. assign V558814 = V585435 + 1. assign V232348 = V944853. assign V409786 = V841291. assign V803385 = V499030 - 1. assign V456090 = V844185. assign V972370 = V203279 + 1. assign V213793 = V844185 - 1. assign V873131 = V540400 - 1. assign V418989 = V736289 - 1. assign V662728 = V960776 + 1. assign V373562 = V833354 - 1. assign V001921 = V209702 + 1. assign V423935 = V412289. assign V689426 = V418989 + 1. assign V824071 = V925953 + 1. assign V193204 = V152768 + 1. assign V134710 = V213793. assign V121187 = V203279. assign V882578 = V591473 + 1. assign V983017 = V844185. assign V360049 = 0. assign V523205 = V003989 - 1. assign V495612 = V629135 - 1. assign V140347 = V423935 - 1. assign V960776 = V915299 - 1. assign V051672 = V329384 - 1. assign V240935 = V140347 + 1. assign V870725 = V264372 - 1. assign V540400 = V918252 - 1. assign V551143 = V793369. assign V474404 = V523205 + 1. assign V814545 = V820381 - 1. assign V953828 = V944853. assign V988785 = V258477 + 1. assign V037102 = V498855 - 1. assign V197229 = V972370. assign V555370 = V232348 + 1. assign V504390 = V456090. assign V369269 = V873131 + 1. assign V694021 = V213793 + 1. assign V112187 = V213793 - 1. assign V828861 = V303745. assign V736289 = V918252 - 1. assign V920899 = V001283. assign V629135 = V540400. assign V984180 = V629135 - 1. assign V032773 = V423935 + 1. assign V798652 = V328089 + 1. assign V148008 = V209702 - 1. assign V469890 = V495612 - 1. assign V627005 = V003989 + 1. assign V898131 = V003989 + 1. assign V915299 = V423935 + 1. assign V981440 = V918252. assign V979591 = V303745. assign V001283 = V328089. assign V001986 = V284816 + 1. assign V226454 = V824356 + 1. assign V751281 = V328089. assign V793369 = V984180 + 1. assign V091088 = V626208 + 1. assign V613240 = V751281 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V061454 = V555370. assign V264372 = V412289 + 1. assign V209702 = V960776. assign V382193 = V474404. assign V700734 = V304964 + 1. assign V474044 = V423935 - 1. assign V591473 = V920899. assign V402363 = V295740 + 1. assign V982893 = V627005. assign V990532 = V495612 + 1. assign V053871 = V841291. assign V369606 = V369269 - 1. assign V083272 = V540400 + 1. assign V771449 = V360049 + 1. assign V498855 = V418989. assign V820381 = V915299 + 1. assign V941532 = V495612 - 1. assign V626208 = V925953 - 1. assign V951457 = V284816. assign V091049 = V543655 - 1. assign V233911 = V629135 + 1. assign V116201 = V335079 - 1. assign V258477 = V833354. assign V888182 = V233911 + 1. assign V152768 = V001283 + 1. assign V512990 = V540400 + 1. assign V824356 = V736289 - 1. assign V118232 = V629135 + 1. assign V436744 = V303745. assign V880865 = V597402 + 1. assign V585435 = V233911 + 1. assign V527271 = V488398 + 1. assign V170581 = V329384 - 1. assign V030494 = V984180. assign V693225 = V347623. assign V572307 = V152768. assign V619477 = V990532. assign V488398 = V550117 - 1. assign V772746 = V894579 - 1. assign V533623 = V662728 + 1. assign V187675 = V001283 - 1. assign V513322 = V223771. assign V869057 = V451544. assign V274857 = V793369. assign V833354 = V495612 + 1. assign V335079 = V258477. assign V844185 = V412289. assign V826504 = V824356 + 1. assign V739381 = V597402 + 1. assign V925953 = V722543 + 1. assign V184757 = V841291. assign V094596 = V001283 - 1. assign V820417 = V412289 - 1. assign V303745 = V118232. assign V150378 = V828861. assign V848572 = V873131 - 1. assign V874271 = V304964 + 1. assign V557736 = V772746. assign V884503 = V951457 - 1. assign V203903 = V369269. assign V210001 = V209702 + 1. assign V117072 = V555370. assign V329384 = V844185 - 1. assign V550198 = V873131 - 1. assign V250169 = V118232 + 1. assign V794435 = V627005 + 1. assign V729685 = V540400 - 1. assign V771021 = V558814 + 1. assign V011011 = V498855 - 1. assign V996897 = V915464. assign V920516 = V693225. assign V820682 = V051672. assign V328089 = V981440. assign V119411 = V210001 - 1. assign V146208 = V233911. assign V825079 = V523205 + 1. assign V328157 = V418989. assign V223771 = V540400 - 1. assign V910980 = V226454 - 1. assign V099977 = V722543. assign V304964 = V203279 + 1. assign V108006 = V844185. assign V722543 = V118232 + 1. assign V944853 = V722543 - 1. assign V841291 = V118232 + 1. assign V915464 = V140347 - 1. assign V550117 = V915299 + 1. assign V894579 = V369269 - 1. assign V337630 = V223771 + 1. assign V683536 = V512990. assign V451544 = V001283 + 1. assign V347623 = V882578 - 1. assign V585979 = V555370 - 1. assign V284816 = V920899 + 1. assign V652319 = V591473 + 1. assign V543655 = V844185 - 1. assign V295740 = V820417. assign V353846 = V232348 - 1. assign V889056 = V920899 - 1. assign V412289 = V873131 - 1. assign V003989 = V264372 + 1. assign V916252 = V001921. assign V597402 = V722543. assign V139146 = V250169. assign V463153 = V974812. assign V499030 = V652319. assign V203279 = V423935 - 1. assign V357092 = V513322 + 1. assign V997982 = V193204 + 1. assign V974812 = V972370 + 1. assign V558814 = V585435 + 1. assign V232348 = V944853. assign V409786 = V841291. assign V803385 = V499030 - 1. assign V456090 = V844185. assign V972370 = V203279 + 1. assign V213793 = V844185 - 1. assign V873131 = V540400 - 1. assign V418989 = V736289 - 1. assign V662728 = V960776 + 1. assign V373562 = V833354 - 1. assign V001921 = V209702 + 1. assign V423935 = V412289. assign V689426 = V418989 + 1. assign V824071 = V925953 + 1. assign V193204 = V152768 + 1. assign V134710 = V213793. assign V121187 = V203279. assign V882578 = V591473 + 1. assign V983017 = V844185. assign V360049 = 0. assign V523205 = V003989 - 1. assign V495612 = V629135 - 1. assign V140347 = V423935 - 1. assign V960776 = V915299 - 1. assign V051672 = V329384 - 1. assign V240935 = V140347 + 1. assign V870725 = V264372 - 1. assign V540400 = V918252 - 1. assign V551143 = V793369. assign V474404 = V523205 + 1. assign V814545 = V820381 - 1. assign V953828 = V944853. assign V988785 = V258477 + 1. assign V037102 = V498855 - 1. assign V197229 = V972370. assign V555370 = V232348 + 1. assign V504390 = V456090. assign V369269 = V873131 + 1. assign V694021 = V213793 + 1. assign V112187 = V213793 - 1. assign V828861 = V303745. assign V736289 = V918252 - 1. assign V920899 = V001283. assign V629135 = V540400. assign V984180 = V629135 - 1. assign V032773 = V423935 + 1. assign V798652 = V328089 + 1. assign V148008 = V209702 - 1. assign V469890 = V495612 - 1. assign V627005 = V003989 + 1. assign V898131 = V003989 + 1. assign V915299 = V423935 + 1. assign V981440 = V918252. assign V979591 = V303745. assign V001283 = V328089. assign V001986 = V284816 + 1. assign V226454 = V824356 + 1. assign V751281 = V328089. assign V793369 = V984180 + 1. assign V091088 = V626208 + 1. assign V613240 = V751281 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV360049 = 0;\n\nFrom these direct assignment(s), we have: \nV771449 = V360049 + 1 = 0 + 1 =1;\nNo other variables can be derived from V771449;\nNo other variables can be derived from V360049;\n\nNow we have done all the calculations. Derived variables are:\nV360049 = 0;\nV771449 = 1;\n\nNow we have finished this problem. ANSWER:\nV360049\n", "role": "assistant" } ]

[ "V925426", "V764183" ]

[ { "content": "<context>\nassign V671492 = V308173 - 1. assign V105349 = V015334. assign V244621 = V675883. assign V006066 = V100289 - 1. assign V839866 = V147302 - 1. assign V009630 = V077349 - 1. assign V797927 = V819581 + 1. assign V541240 = V157935 - 1. assign V266573 = V095152. assign V635765 = V639089 + 1. assign V932531 = V275595 + 1. assign V009295 = V464191 - 1. assign V756037 = V996024 + 1. assign V680399 = V157935 - 1. assign V871652 = V187652 - 1. assign V339866 = V551485 + 1. assign V826000 = V785278 + 1. assign V940884 = V181399. assign V501921 = V275595. assign V624670 = V308173 + 1. assign V572023 = V351419 + 1. assign V785278 = V187652. assign V348316 = V629140. assign V351419 = V015334 + 1. assign V566467 = V119432. assign V905118 = V181399 + 1. assign V159070 = V897262 + 1. assign V358443 = V892640. assign V010658 = V460511 + 1. assign V258331 = V624670 + 1. assign V308173 = V077349 + 1. assign V090354 = V244468 + 1. assign V225365 = V541240 + 1. assign V573130 = V100289 + 1. assign V982566 = V839866 - 1. assign V242166 = V015334 - 1. assign V557493 = V749550. assign V181399 = V728823. assign V516243 = V095152 + 1. assign V894147 = V728048. assign V940484 = V886610 - 1. assign V060243 = V839866. assign V483947 = V465760. assign V854075 = V065128. assign V001448 = V773267 - 1. assign V304997 = V740470 + 1. assign V015699 = V932531 - 1. assign V966782 = V273219 + 1. assign V609202 = V859782 + 1. assign V299891 = V962961 - 1. assign V892640 = V010658 + 1. assign V225487 = V351419. assign V015334 = V866741. assign V589169 = V147302 + 1. assign V171539 = V962961. assign V624119 = V258331 + 1. assign V220278 = V905118 + 1. assign V676142 = V740470 - 1. assign V359121 = V676142 + 1. assign V055791 = V932531. assign V065128 = V312905 + 1. assign V273219 = V312905. assign V447458 = V912880 + 1. assign V834593 = V932531 - 1. assign V147302 = V015334. assign V330417 = V359121 - 1. assign V028682 = V446470. assign V962961 = V079987 + 1. assign V271102 = V996024 + 1. assign V275595 = V866741. assign V563734 = V258331 + 1. assign V925426 = 8. assign V050221 = V670579. assign V095152 = V624670. assign V243439 = V077349. assign V557211 = V649213 + 1. assign V670579 = V015334 - 1. assign V795937 = V001338 + 1. assign V086649 = V369276 - 1. assign V267707 = V649213. assign V441180 = V488651 + 1. assign V940427 = V563734 - 1. assign V996024 = V077349 + 1. assign V609084 = V944935. assign V911364 = V563734 + 1. assign V420154 = V861300 + 1. assign V213313 = V446470. assign V749550 = V671492. assign V844975 = V740470. assign V155437 = V358443. assign V880330 = V181399. assign V715610 = V884395 - 1. assign V773267 = V100289 - 1. assign V157935 = V244621. assign V630020 = V188951. assign V633420 = V773267 + 1. assign V219668 = V065128 - 1. assign V248052 = V624670 + 1. assign V862279 = V905118 - 1. assign V859782 = V624670 + 1. assign V005149 = V566566. assign V244468 = V795937 - 1. assign V187652 = V014247. assign V300700 = V717955. assign V464191 = V187652. assign V488651 = V671492 - 1. assign V764183 = V925426. assign V866741 = V077349 - 1. assign V819581 = V962371 - 1. assign V639089 = V676142 + 1. assign V096178 = V312905 + 1. assign V369276 = V897262 + 1. assign V312905 = V243439 + 1. assign V751104 = V014247. assign V059728 = V337201. assign V811755 = V557493. assign V912880 = V897421 + 1. assign V645437 = V014247 + 1. assign V961171 = V488651 - 1. assign V825438 = V624670. assign V189713 = V028682 - 1. assign V793571 = V010658 + 1. assign V671799 = V187652 + 1. assign V079987 = V563734 - 1. assign V306656 = V940427 - 1. assign V551485 = V359121 + 1. assign V897262 = V186282 + 1. assign V717955 = V563734 - 1. assign V357563 = V996024. assign V884395 = V649213 + 1. assign V675883 = V488651 - 1. assign V986233 = V187652 + 1. assign V337201 = V119432 + 1. assign V522737 = V055791 - 1. assign V566566 = V243439 - 1. assign V455730 = V275595 - 1. assign V286359 = V065128. assign V728048 = V866741. assign V460511 = V181399. assign V918870 = V159070. assign V001954 = V756037 - 1. assign V629140 = V055791 - 1. assign V540687 = V749550 - 1. assign V865151 = V897262 - 1. assign V014247 = V866741 + 1. assign V188951 = V006066. assign V886610 = V624670 + 1. assign V209555 = V740470 + 1. assign V001338 = V465760. assign V100289 = V312905. assign V233730 = V015699 - 1. assign V149786 = V865151 - 1. assign V446470 = V645437 + 1. assign V465760 = V905118 + 1. assign V861300 = V940427. assign V658318 = V986233. assign V257148 = V209555. assign V897421 = V886610. assign V119432 = V308173 - 1. assign V636229 = V077349 - 1. assign V936895 = V357563 + 1. assign V740470 = V308173. assign V130987 = V351419 + 1. assign V728823 = V119432 + 1. assign V725485 = V624670 - 1. assign V629581 = V839866. assign V649213 = V147302. assign V186282 = V187652 + 1. assign V303248 = V095152 - 1. assign V944935 = V258331 + 1. assign V973633 = V865151 - 1. assign V962371 = V940484.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V671492 = V308173 - 1. assign V105349 = V015334. assign V244621 = V675883. assign V006066 = V100289 - 1. assign V839866 = V147302 - 1. assign V009630 = V077349 - 1. assign V797927 = V819581 + 1. assign V541240 = V157935 - 1. assign V266573 = V095152. assign V635765 = V639089 + 1. assign V932531 = V275595 + 1. assign V009295 = V464191 - 1. assign V756037 = V996024 + 1. assign V680399 = V157935 - 1. assign V871652 = V187652 - 1. assign V339866 = V551485 + 1. assign V826000 = V785278 + 1. assign V940884 = V181399. assign V501921 = V275595. assign V624670 = V308173 + 1. assign V572023 = V351419 + 1. assign V785278 = V187652. assign V348316 = V629140. assign V351419 = V015334 + 1. assign V566467 = V119432. assign V905118 = V181399 + 1. assign V159070 = V897262 + 1. assign V358443 = V892640. assign V010658 = V460511 + 1. assign V258331 = V624670 + 1. assign V308173 = V077349 + 1. assign V090354 = V244468 + 1. assign V225365 = V541240 + 1. assign V573130 = V100289 + 1. assign V982566 = V839866 - 1. assign V242166 = V015334 - 1. assign V557493 = V749550. assign V181399 = V728823. assign V516243 = V095152 + 1. assign V894147 = V728048. assign V940484 = V886610 - 1. assign V060243 = V839866. assign V483947 = V465760. assign V854075 = V065128. assign V001448 = V773267 - 1. assign V304997 = V740470 + 1. assign V015699 = V932531 - 1. assign V966782 = V273219 + 1. assign V609202 = V859782 + 1. assign V299891 = V962961 - 1. assign V892640 = V010658 + 1. assign V225487 = V351419. assign V015334 = V866741. assign V589169 = V147302 + 1. assign V171539 = V962961. assign V624119 = V258331 + 1. assign V220278 = V905118 + 1. assign V676142 = V740470 - 1. assign V359121 = V676142 + 1. assign V055791 = V932531. assign V065128 = V312905 + 1. assign V273219 = V312905. assign V447458 = V912880 + 1. assign V834593 = V932531 - 1. assign V147302 = V015334. assign V330417 = V359121 - 1. assign V028682 = V446470. assign V962961 = V079987 + 1. assign V271102 = V996024 + 1. assign V275595 = V866741. assign V563734 = V258331 + 1. assign V925426 = 8. assign V050221 = V670579. assign V095152 = V624670. assign V243439 = V077349. assign V557211 = V649213 + 1. assign V670579 = V015334 - 1. assign V795937 = V001338 + 1. assign V086649 = V369276 - 1. assign V267707 = V649213. assign V441180 = V488651 + 1. assign V940427 = V563734 - 1. assign V996024 = V077349 + 1. assign V609084 = V944935. assign V911364 = V563734 + 1. assign V420154 = V861300 + 1. assign V213313 = V446470. assign V749550 = V671492. assign V844975 = V740470. assign V155437 = V358443. assign V880330 = V181399. assign V715610 = V884395 - 1. assign V773267 = V100289 - 1. assign V157935 = V244621. assign V630020 = V188951. assign V633420 = V773267 + 1. assign V219668 = V065128 - 1. assign V248052 = V624670 + 1. assign V862279 = V905118 - 1. assign V859782 = V624670 + 1. assign V005149 = V566566. assign V244468 = V795937 - 1. assign V187652 = V014247. assign V300700 = V717955. assign V464191 = V187652. assign V488651 = V671492 - 1. assign V764183 = V925426. assign V866741 = V077349 - 1. assign V819581 = V962371 - 1. assign V639089 = V676142 + 1. assign V096178 = V312905 + 1. assign V369276 = V897262 + 1. assign V312905 = V243439 + 1. assign V751104 = V014247. assign V059728 = V337201. assign V811755 = V557493. assign V912880 = V897421 + 1. assign V645437 = V014247 + 1. assign V961171 = V488651 - 1. assign V825438 = V624670. assign V189713 = V028682 - 1. assign V793571 = V010658 + 1. assign V671799 = V187652 + 1. assign V079987 = V563734 - 1. assign V306656 = V940427 - 1. assign V551485 = V359121 + 1. assign V897262 = V186282 + 1. assign V717955 = V563734 - 1. assign V357563 = V996024. assign V884395 = V649213 + 1. assign V675883 = V488651 - 1. assign V986233 = V187652 + 1. assign V337201 = V119432 + 1. assign V522737 = V055791 - 1. assign V566566 = V243439 - 1. assign V455730 = V275595 - 1. assign V286359 = V065128. assign V728048 = V866741. assign V460511 = V181399. assign V918870 = V159070. assign V001954 = V756037 - 1. assign V629140 = V055791 - 1. assign V540687 = V749550 - 1. assign V865151 = V897262 - 1. assign V014247 = V866741 + 1. assign V188951 = V006066. assign V886610 = V624670 + 1. assign V209555 = V740470 + 1. assign V001338 = V465760. assign V100289 = V312905. assign V233730 = V015699 - 1. assign V149786 = V865151 - 1. assign V446470 = V645437 + 1. assign V465760 = V905118 + 1. assign V861300 = V940427. assign V658318 = V986233. assign V257148 = V209555. assign V897421 = V886610. assign V119432 = V308173 - 1. assign V636229 = V077349 - 1. assign V936895 = V357563 + 1. assign V740470 = V308173. assign V130987 = V351419 + 1. assign V728823 = V119432 + 1. assign V725485 = V624670 - 1. assign V629581 = V839866. assign V649213 = V147302. assign V186282 = V187652 + 1. assign V303248 = V095152 - 1. assign V944935 = V258331 + 1. assign V973633 = V865151 - 1. assign V962371 = V940484.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 8.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV925426 = 8;\n\nFrom these direct assignment(s), we have: \nV764183 = V925426 = 8;\nNo other variables can be derived from V764183;\nNo other variables can be derived from V925426;\n\nNow we have done all the calculations. Derived variables are:\nV925426 = 8;\nV764183 = 8;\n\nNow we have finished this problem. ANSWER:\nV925426, V764183\n", "role": "assistant" } ]

[ "V916046", "V672094" ]

[ { "content": "<context>\nassign V416504 = V596262 - 1. assign V443771 = V848718 - 1. assign V379860 = V204465 + 1. assign V364782 = V116435. assign V212146 = V284158 - 1. assign V979337 = V693426 + 1. assign V522226 = V311459 + 1. assign V300933 = V605988 - 1. assign V218594 = V486063 + 1. assign V317465 = V119536 - 1. assign V543853 = V596262 - 1. assign V356301 = V559763 - 1. assign V119536 = V346811 - 1. assign V527225 = V371156 - 1. assign V486063 = V687094 - 1. assign V284158 = V590373 - 1. assign V204465 = V848718 + 1. assign V026650 = V443771 + 1. assign V088403 = V979337 + 1. assign V121339 = V596262. assign V393291 = V379860. assign V416944 = V880814 - 1. assign V371156 = V140197 - 1. assign V600357 = V674503. assign V328520 = V364782 - 1. assign V820397 = V282342 - 1. assign V687094 = V729420 - 1. assign V693426 = V346811. assign V066974 = V297189 + 1. assign V874037 = V834417 + 1. assign V589133 = V911366 + 1. assign V684527 = V416944 - 1. assign V998205 = V928835. assign V932738 = V527225 + 1. assign V928835 = V275769. assign V694941 = V922375. assign V210033 = V535414. assign V748619 = V218594. assign V077624 = V381732. assign V443131 = V436802 + 1. assign V319193 = V070208 - 1. assign V563680 = V591418. assign V165064 = V928835 - 1. assign V535414 = V522226 - 1. assign V857612 = V365681 + 1. assign V605988 = V591060 + 1. assign V880814 = V911366. assign V381732 = V674503 + 1. assign V049079 = V693426. assign V297348 = V204465 - 1. assign V976809 = V604924 - 1. assign V096300 = V204453 + 1. assign V791475 = V808405 - 1. assign V455256 = V590373 + 1. assign V783155 = V726008. assign V756297 = V714606 - 1. assign V990189 = V882530. assign V896927 = V848718. assign V285200 = V558000. assign V209486 = V284158 + 1. assign V271556 = V311459 + 1. assign V772098 = V297348 - 1. assign V109975 = V714606. assign V215863 = V729420 + 1. assign V444811 = V275769 + 1. assign V606993 = V436802 - 1. assign V914242 = V808048 - 1. assign V604441 = V199948 + 1. assign V916046 = 7. assign V070208 = V199948 + 1. assign V134368 = V522226 + 1. assign V873546 = V914242 + 1. assign V693407 = V436802. assign V477850 = V379860 + 1. assign V682124 = V875862 + 1. assign V311459 = V848718 + 1. assign V297189 = V882939 - 1. assign V436565 = V096300 - 1. assign V365681 = V049079 + 1. assign V812585 = V228119. assign V408546 = V199948 - 1. assign V672094 = V916046. assign V663329 = V393291 + 1. assign V511617 = V110238 - 1. assign V204453 = V808048 + 1. assign V808405 = V808048 + 1. assign V467019 = V674503 - 1. assign V075299 = V693407. assign V950856 = V275769. assign V282342 = V950856. assign V808048 = V379860 - 1. assign V316263 = V204465 + 1. assign V604282 = V711243 + 1. assign V649175 = V758926 - 1. assign V875862 = V204465 - 1. assign V714606 = V590373 + 1. assign V116435 = V443771 + 1. assign V533573 = V559763 + 1. assign V591060 = V875862 + 1. assign V633199 = V596262. assign V449175 = V316263 - 1. assign V110854 = V611245. assign V882530 = V259664 + 1. assign V417214 = V067667. assign V726008 = V209486. assign V114125 = V443771 + 1. assign V228119 = V297189 - 1. assign V313751 = V066974. assign V540072 = V694941 + 1. assign V758926 = V443771 + 1. assign V263592 = V436802. assign V558000 = V540072. assign V552209 = V922375 - 1. assign V340117 = V075299 + 1. assign V312829 = V922375 + 1. assign V224099 = V834417. assign V743695 = V772098 - 1. assign V563137 = V379860 + 1. assign V596262 = V297189 + 1. assign V559763 = V275769 - 1. assign V563764 = V882939. assign V068412 = V297189. assign V533624 = V682124 + 1. assign V590373 = V379860 - 1. assign V729420 = V204465 + 1. assign V254741 = V950856 - 1. assign V368466 = V204465 - 1. assign V674503 = V132926. assign V436802 = V848718 + 1. assign V679082 = V604282 - 1. assign V110238 = V393291 - 1. assign V226517 = V467019. assign V800389 = V226517 - 1. assign V600551 = V882939 - 1. assign V459574 = V297348. assign V118588 = V254741 - 1. assign V604924 = V393291 + 1. assign V922375 = V271556 + 1. assign V054783 = V939124 - 1. assign V954088 = V605988 - 1. assign V896193 = V694941 + 1. assign V140197 = V808048 - 1. assign V939124 = V950856 + 1. assign V890215 = V834417 + 1. assign V138987 = V328520 + 1. assign V275769 = V436802. assign V929872 = V808405 + 1. assign V534626 = V711243 + 1. assign V259664 = V911366. assign V067667 = V563680. assign V882939 = V848718 + 1. assign V611245 = V282342 - 1. assign V371388 = V477850. assign V130290 = V416944 - 1. assign V199948 = V563680 - 1. assign V213800 = V791475. assign V834417 = V922375. assign V847526 = V693426. assign V545691 = V346811. assign V174401 = V379860 - 1. assign V132926 = V140197 - 1. assign V114675 = V911366 + 1. assign V433933 = V486063 + 1. assign V346811 = V204453. assign V975618 = V535414 - 1. assign V911366 = V393291 - 1. assign V658609 = V928835 + 1. assign V200472 = V132926. assign V591418 = V271556 - 1. assign V711243 = V049079. assign V313504 = V379860 + 1. assign V456245 = V979337.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V416504 = V596262 - 1. assign V443771 = V848718 - 1. assign V379860 = V204465 + 1. assign V364782 = V116435. assign V212146 = V284158 - 1. assign V979337 = V693426 + 1. assign V522226 = V311459 + 1. assign V300933 = V605988 - 1. assign V218594 = V486063 + 1. assign V317465 = V119536 - 1. assign V543853 = V596262 - 1. assign V356301 = V559763 - 1. assign V119536 = V346811 - 1. assign V527225 = V371156 - 1. assign V486063 = V687094 - 1. assign V284158 = V590373 - 1. assign V204465 = V848718 + 1. assign V026650 = V443771 + 1. assign V088403 = V979337 + 1. assign V121339 = V596262. assign V393291 = V379860. assign V416944 = V880814 - 1. assign V371156 = V140197 - 1. assign V600357 = V674503. assign V328520 = V364782 - 1. assign V820397 = V282342 - 1. assign V687094 = V729420 - 1. assign V693426 = V346811. assign V066974 = V297189 + 1. assign V874037 = V834417 + 1. assign V589133 = V911366 + 1. assign V684527 = V416944 - 1. assign V998205 = V928835. assign V932738 = V527225 + 1. assign V928835 = V275769. assign V694941 = V922375. assign V210033 = V535414. assign V748619 = V218594. assign V077624 = V381732. assign V443131 = V436802 + 1. assign V319193 = V070208 - 1. assign V563680 = V591418. assign V165064 = V928835 - 1. assign V535414 = V522226 - 1. assign V857612 = V365681 + 1. assign V605988 = V591060 + 1. assign V880814 = V911366. assign V381732 = V674503 + 1. assign V049079 = V693426. assign V297348 = V204465 - 1. assign V976809 = V604924 - 1. assign V096300 = V204453 + 1. assign V791475 = V808405 - 1. assign V455256 = V590373 + 1. assign V783155 = V726008. assign V756297 = V714606 - 1. assign V990189 = V882530. assign V896927 = V848718. assign V285200 = V558000. assign V209486 = V284158 + 1. assign V271556 = V311459 + 1. assign V772098 = V297348 - 1. assign V109975 = V714606. assign V215863 = V729420 + 1. assign V444811 = V275769 + 1. assign V606993 = V436802 - 1. assign V914242 = V808048 - 1. assign V604441 = V199948 + 1. assign V916046 = 7. assign V070208 = V199948 + 1. assign V134368 = V522226 + 1. assign V873546 = V914242 + 1. assign V693407 = V436802. assign V477850 = V379860 + 1. assign V682124 = V875862 + 1. assign V311459 = V848718 + 1. assign V297189 = V882939 - 1. assign V436565 = V096300 - 1. assign V365681 = V049079 + 1. assign V812585 = V228119. assign V408546 = V199948 - 1. assign V672094 = V916046. assign V663329 = V393291 + 1. assign V511617 = V110238 - 1. assign V204453 = V808048 + 1. assign V808405 = V808048 + 1. assign V467019 = V674503 - 1. assign V075299 = V693407. assign V950856 = V275769. assign V282342 = V950856. assign V808048 = V379860 - 1. assign V316263 = V204465 + 1. assign V604282 = V711243 + 1. assign V649175 = V758926 - 1. assign V875862 = V204465 - 1. assign V714606 = V590373 + 1. assign V116435 = V443771 + 1. assign V533573 = V559763 + 1. assign V591060 = V875862 + 1. assign V633199 = V596262. assign V449175 = V316263 - 1. assign V110854 = V611245. assign V882530 = V259664 + 1. assign V417214 = V067667. assign V726008 = V209486. assign V114125 = V443771 + 1. assign V228119 = V297189 - 1. assign V313751 = V066974. assign V540072 = V694941 + 1. assign V758926 = V443771 + 1. assign V263592 = V436802. assign V558000 = V540072. assign V552209 = V922375 - 1. assign V340117 = V075299 + 1. assign V312829 = V922375 + 1. assign V224099 = V834417. assign V743695 = V772098 - 1. assign V563137 = V379860 + 1. assign V596262 = V297189 + 1. assign V559763 = V275769 - 1. assign V563764 = V882939. assign V068412 = V297189. assign V533624 = V682124 + 1. assign V590373 = V379860 - 1. assign V729420 = V204465 + 1. assign V254741 = V950856 - 1. assign V368466 = V204465 - 1. assign V674503 = V132926. assign V436802 = V848718 + 1. assign V679082 = V604282 - 1. assign V110238 = V393291 - 1. assign V226517 = V467019. assign V800389 = V226517 - 1. assign V600551 = V882939 - 1. assign V459574 = V297348. assign V118588 = V254741 - 1. assign V604924 = V393291 + 1. assign V922375 = V271556 + 1. assign V054783 = V939124 - 1. assign V954088 = V605988 - 1. assign V896193 = V694941 + 1. assign V140197 = V808048 - 1. assign V939124 = V950856 + 1. assign V890215 = V834417 + 1. assign V138987 = V328520 + 1. assign V275769 = V436802. assign V929872 = V808405 + 1. assign V534626 = V711243 + 1. assign V259664 = V911366. assign V067667 = V563680. assign V882939 = V848718 + 1. assign V611245 = V282342 - 1. assign V371388 = V477850. assign V130290 = V416944 - 1. assign V199948 = V563680 - 1. assign V213800 = V791475. assign V834417 = V922375. assign V847526 = V693426. assign V545691 = V346811. assign V174401 = V379860 - 1. assign V132926 = V140197 - 1. assign V114675 = V911366 + 1. assign V433933 = V486063 + 1. assign V346811 = V204453. assign V975618 = V535414 - 1. assign V911366 = V393291 - 1. assign V658609 = V928835 + 1. assign V200472 = V132926. assign V591418 = V271556 - 1. assign V711243 = V049079. assign V313504 = V379860 + 1. assign V456245 = V979337.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV916046 = 7;\n\nFrom these direct assignment(s), we have: \nV672094 = V916046 = 7;\nNo other variables can be derived from V672094;\nNo other variables can be derived from V916046;\n\nNow we have done all the calculations. Derived variables are:\nV916046 = 7;\nV672094 = 7;\n\nNow we have finished this problem. ANSWER:\nV916046, V672094\n", "role": "assistant" } ]

[ "V990853" ]

[ { "content": "<context>\nassign V744647 = V880371 - 1. assign V557634 = V690289. assign V717342 = V671849. assign V862784 = V136289. assign V505858 = V815631 - 1. assign V002437 = V129670. assign V811442 = V443070. assign V924120 = V030365 + 1. assign V434804 = V756397. assign V249779 = V571311. assign V022119 = V785504 - 1. assign V173374 = V338227 - 1. assign V952320 = V205924 - 1. assign V035772 = V401553 + 1. assign V257486 = V868348 - 1. assign V422181 = V880371 - 1. assign V253992 = V443070 - 1. assign V544174 = V245267. assign V443070 = V401019. assign V573610 = V292143. assign V622275 = V443070 - 1. assign V252581 = V364461 - 1. assign V702602 = V927667 + 1. assign V109134 = V557634. assign V571311 = V289786 + 1. assign V062276 = V136289. assign V197069 = V841739. assign V156393 = V035772 - 1. assign V071290 = V880371 + 1. assign V003368 = V671849 + 1. assign V690289 = V045518 + 1. assign V637159 = V292143. assign V880371 = V539036 - 1. assign V569349 = V762325. assign V335758 = V560783 - 1. assign V069247 = V138989. assign V290402 = V129670 + 1. assign V236285 = V622275 - 1. assign V393827 = V379451 + 1. assign V921132 = V815631. assign V003739 = V035548. assign V214435 = V156393. assign V195799 = V045518 - 1. assign V474605 = V927667 + 1. assign V248207 = V866731 + 1. assign V621788 = V560783 - 1. assign V870798 = V179131 - 1. assign V780776 = V156393. assign V150453 = V245267 - 1. assign V330795 = V308411. assign V913215 = V035772 + 1. assign V841739 = V880371 - 1. assign V762325 = V740013 + 1. assign V756397 = V695433. assign V068785 = V118469. assign V346725 = V880371 + 1. assign V100392 = V880371 + 1. assign V490289 = V364461. assign V142006 = V401019. assign V674000 = V236285 + 1. assign V482673 = V970457 + 1. assign V717049 = V718620 + 1. assign V399769 = V259415. assign V112578 = V881701 + 1. assign V902482 = V542283 + 1. assign V381192 = V571308. assign V138989 = V045518 + 1. assign V246104 = V118469. assign V695433 = V841739 + 1. assign V801590 = V286196 - 1. assign V991481 = V071290. assign V138068 = V571311 + 1. assign V232454 = V740013. assign V351889 = V308411 - 1. assign V153628 = V579800 + 1. assign V555790 = V241150 - 1. assign V136289 = V690289 + 1. assign V927667 = V045518. assign V583907 = V542283 + 1. assign V860791 = V335758 + 1. assign V836243 = V509926. assign V963457 = V569349 - 1. assign V318912 = V045518. assign V457963 = V074134 - 1. assign V571308 = V744647 - 1. assign V684966 = V637159 + 1. assign V280790 = V671849 + 1. assign V142699 = V932001 + 1. assign V325459 = V815631. assign V286196 = V071290 + 1. assign V602562 = V272042 + 1. assign V737627 = V259415 + 1. assign V115328 = V074134. assign V401553 = V671849 + 1. assign V579800 = V412939 + 1. assign V405872 = V071290. assign V502937 = V539036 - 1. assign V255925 = V970457 + 1. assign V881701 = V259415. assign V542283 = V035548 + 1. assign V245267 = V622275 + 1. assign V269753 = V289786. assign V513311 = V602562 + 1. assign V074134 = V401019. assign V868348 = V718620 + 1. assign V776001 = V744647 - 1. assign V030365 = V539036. assign V714936 = V990853 + 1. assign V363284 = V502937 - 1. assign V118469 = V003368. assign V401019 = V671849. assign V043332 = V246104 - 1. assign V289786 = V602562. assign V566424 = V542283. assign V179216 = V364461. assign V785504 = V035548 + 1. assign V338227 = V622275 - 1. assign V932001 = V156393. assign V341848 = V071290. assign V990853 = 3. assign V379451 = V241150 + 1. assign V475507 = V071290 - 1. assign V292143 = V401019. assign V160072 = V671849 + 1. assign V841215 = V351889 - 1. assign V773853 = V671849 - 1. assign V045518 = V401553. assign V255310 = V970457. assign V272042 = V880371 - 1. assign V241150 = V346725 + 1. assign V737382 = V785504 - 1. assign V392646 = V773853. assign V740013 = V422181 - 1. assign V560783 = V505858. assign V842509 = V569349 - 1. assign V157094 = V740013 + 1. assign V425447 = V717342 + 1. assign V156500 = V539036 - 1. assign V769910 = V737627. assign V604322 = V351889 + 1. assign V179131 = V259415. assign V503790 = V156500. assign V040860 = V405872 + 1. assign V257780 = V344644 + 1. assign V472924 = V544174 - 1. assign V970457 = V245267. assign V205924 = V815631 + 1. assign V330457 = V569349 - 1. assign V155563 = V289786 - 1. assign V295106 = V509926 + 1. assign V031200 = V405872 + 1. assign V344644 = V292143. assign V815631 = V156393 - 1. assign V412939 = V756397 + 1. assign V052955 = V241150 + 1. assign V899289 = V179131. assign V593934 = V045518 - 1. assign V671849 = V880371 + 1. assign V466532 = V425447 + 1. assign V129670 = V474605 + 1. assign V106308 = V338227 + 1. assign V407131 = V932001. assign V718620 = V880371 + 1. assign V134700 = V737627. assign V259415 = V505858. assign V866731 = V241150 - 1. assign V308411 = V841739 + 1. assign V364461 = V841739 + 1. assign V035548 = V162278. assign V743324 = V179131. assign V162278 = V071290 - 1. assign V509926 = V841739 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V744647 = V880371 - 1. assign V557634 = V690289. assign V717342 = V671849. assign V862784 = V136289. assign V505858 = V815631 - 1. assign V002437 = V129670. assign V811442 = V443070. assign V924120 = V030365 + 1. assign V434804 = V756397. assign V249779 = V571311. assign V022119 = V785504 - 1. assign V173374 = V338227 - 1. assign V952320 = V205924 - 1. assign V035772 = V401553 + 1. assign V257486 = V868348 - 1. assign V422181 = V880371 - 1. assign V253992 = V443070 - 1. assign V544174 = V245267. assign V443070 = V401019. assign V573610 = V292143. assign V622275 = V443070 - 1. assign V252581 = V364461 - 1. assign V702602 = V927667 + 1. assign V109134 = V557634. assign V571311 = V289786 + 1. assign V062276 = V136289. assign V197069 = V841739. assign V156393 = V035772 - 1. assign V071290 = V880371 + 1. assign V003368 = V671849 + 1. assign V690289 = V045518 + 1. assign V637159 = V292143. assign V880371 = V539036 - 1. assign V569349 = V762325. assign V335758 = V560783 - 1. assign V069247 = V138989. assign V290402 = V129670 + 1. assign V236285 = V622275 - 1. assign V393827 = V379451 + 1. assign V921132 = V815631. assign V003739 = V035548. assign V214435 = V156393. assign V195799 = V045518 - 1. assign V474605 = V927667 + 1. assign V248207 = V866731 + 1. assign V621788 = V560783 - 1. assign V870798 = V179131 - 1. assign V780776 = V156393. assign V150453 = V245267 - 1. assign V330795 = V308411. assign V913215 = V035772 + 1. assign V841739 = V880371 - 1. assign V762325 = V740013 + 1. assign V756397 = V695433. assign V068785 = V118469. assign V346725 = V880371 + 1. assign V100392 = V880371 + 1. assign V490289 = V364461. assign V142006 = V401019. assign V674000 = V236285 + 1. assign V482673 = V970457 + 1. assign V717049 = V718620 + 1. assign V399769 = V259415. assign V112578 = V881701 + 1. assign V902482 = V542283 + 1. assign V381192 = V571308. assign V138989 = V045518 + 1. assign V246104 = V118469. assign V695433 = V841739 + 1. assign V801590 = V286196 - 1. assign V991481 = V071290. assign V138068 = V571311 + 1. assign V232454 = V740013. assign V351889 = V308411 - 1. assign V153628 = V579800 + 1. assign V555790 = V241150 - 1. assign V136289 = V690289 + 1. assign V927667 = V045518. assign V583907 = V542283 + 1. assign V860791 = V335758 + 1. assign V836243 = V509926. assign V963457 = V569349 - 1. assign V318912 = V045518. assign V457963 = V074134 - 1. assign V571308 = V744647 - 1. assign V684966 = V637159 + 1. assign V280790 = V671849 + 1. assign V142699 = V932001 + 1. assign V325459 = V815631. assign V286196 = V071290 + 1. assign V602562 = V272042 + 1. assign V737627 = V259415 + 1. assign V115328 = V074134. assign V401553 = V671849 + 1. assign V579800 = V412939 + 1. assign V405872 = V071290. assign V502937 = V539036 - 1. assign V255925 = V970457 + 1. assign V881701 = V259415. assign V542283 = V035548 + 1. assign V245267 = V622275 + 1. assign V269753 = V289786. assign V513311 = V602562 + 1. assign V074134 = V401019. assign V868348 = V718620 + 1. assign V776001 = V744647 - 1. assign V030365 = V539036. assign V714936 = V990853 + 1. assign V363284 = V502937 - 1. assign V118469 = V003368. assign V401019 = V671849. assign V043332 = V246104 - 1. assign V289786 = V602562. assign V566424 = V542283. assign V179216 = V364461. assign V785504 = V035548 + 1. assign V338227 = V622275 - 1. assign V932001 = V156393. assign V341848 = V071290. assign V990853 = 3. assign V379451 = V241150 + 1. assign V475507 = V071290 - 1. assign V292143 = V401019. assign V160072 = V671849 + 1. assign V841215 = V351889 - 1. assign V773853 = V671849 - 1. assign V045518 = V401553. assign V255310 = V970457. assign V272042 = V880371 - 1. assign V241150 = V346725 + 1. assign V737382 = V785504 - 1. assign V392646 = V773853. assign V740013 = V422181 - 1. assign V560783 = V505858. assign V842509 = V569349 - 1. assign V157094 = V740013 + 1. assign V425447 = V717342 + 1. assign V156500 = V539036 - 1. assign V769910 = V737627. assign V604322 = V351889 + 1. assign V179131 = V259415. assign V503790 = V156500. assign V040860 = V405872 + 1. assign V257780 = V344644 + 1. assign V472924 = V544174 - 1. assign V970457 = V245267. assign V205924 = V815631 + 1. assign V330457 = V569349 - 1. assign V155563 = V289786 - 1. assign V295106 = V509926 + 1. assign V031200 = V405872 + 1. assign V344644 = V292143. assign V815631 = V156393 - 1. assign V412939 = V756397 + 1. assign V052955 = V241150 + 1. assign V899289 = V179131. assign V593934 = V045518 - 1. assign V671849 = V880371 + 1. assign V466532 = V425447 + 1. assign V129670 = V474605 + 1. assign V106308 = V338227 + 1. assign V407131 = V932001. assign V718620 = V880371 + 1. assign V134700 = V737627. assign V259415 = V505858. assign V866731 = V241150 - 1. assign V308411 = V841739 + 1. assign V364461 = V841739 + 1. assign V035548 = V162278. assign V743324 = V179131. assign V162278 = V071290 - 1. assign V509926 = V841739 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV990853 = 3;\n\nFrom these direct assignment(s), we have: \nV714936 = V990853 + 1 = 3 + 1 =4;\nNo other variables can be derived from V714936;\nNo other variables can be derived from V990853;\n\nNow we have done all the calculations. Derived variables are:\nV990853 = 3;\nV714936 = 4;\n\nNow we have finished this problem. ANSWER:\nV990853\n", "role": "assistant" } ]

[ "V681714" ]

[ { "content": "<context>\nassign V307986 = V082581 - 1. assign V709930 = V291369 - 1. assign V745329 = V102746. assign V126248 = V673862. assign V177590 = V506735 + 1. assign V996132 = V432878. assign V514180 = V261340 + 1. assign V375527 = V983232 - 1. assign V552766 = V895898. assign V522366 = V409221. assign V895898 = V297860. assign V781148 = V306505 - 1. assign V784348 = V754230 - 1. assign V625954 = V153287. assign V093671 = V291369 + 1. assign V147288 = V709930 - 1. assign V753793 = V857887 + 1. assign V726046 = V409221. assign V102746 = V153287 + 1. assign V578079 = V733562 + 1. assign V252534 = V160015 - 1. assign V894164 = V295350 + 1. assign V661198 = V671116. assign V857887 = V375003 + 1. assign V874980 = V375003. assign V630768 = V608889 + 1. assign V569188 = V062247 + 1. assign V437603 = V709930 - 1. assign V116904 = V062745 + 1. assign V919479 = V971536 - 1. assign V813156 = V177590 - 1. assign V048654 = V203882 - 1. assign V681714 = 9. assign V582318 = V599586 + 1. assign V012000 = V241528 + 1. assign V432878 = V836824 + 1. assign V964354 = V709930 + 1. assign V241528 = V753793. assign V091389 = V156822. assign V236681 = V989893 - 1. assign V160015 = V134418 - 1. assign V234781 = V359025. assign V355833 = V983232 - 1. assign V015290 = V944307. assign V036852 = V291369. assign V302143 = V295645 + 1. assign V836824 = V062745 + 1. assign V295350 = V092871 + 1. assign V908665 = V757717 + 1. assign V683197 = V736435. assign V551943 = V895898. assign V591516 = V914120 + 1. assign V062247 = V115710. assign V971606 = V295645 - 1. assign V263267 = V882975 + 1. assign V297860 = V754230 - 1. assign V834312 = V295350 + 1. assign V882975 = V567940 + 1. assign V156822 = V895898. assign V783607 = V375003 - 1. assign V559160 = V203882. assign V209974 = V576038 - 1. assign V364242 = V677513. assign V944307 = V297860 - 1. assign V306505 = V062745 - 1. assign V186926 = V259496 + 1. assign V766521 = V677513 + 1. assign V983232 = V653057 - 1. assign V132562 = V302143. assign V608889 = V013676 + 1. assign V361744 = V752944 + 1. assign V754230 = V709930. assign V989893 = V297073. assign V828798 = V138275 + 1. assign V138275 = V409221. assign V105564 = V409221. assign V877722 = V082581. assign V914120 = V807792 - 1. assign V843329 = V743238 - 1. assign V677513 = V319632. assign V261340 = V355833. assign V217152 = V082581. assign V626511 = V115710. assign V263116 = V062745 + 1. assign V971536 = V092871 + 1. assign V122557 = V709930 + 1. assign V764858 = V929133 + 1. assign V026845 = V914120 - 1. assign V092871 = V736435 + 1. assign V186975 = V681714 + 1. assign V375003 = V036852. assign V782955 = V306505 + 1. assign V357342 = V914120 + 1. assign V929133 = V752944 + 1. assign V743238 = V364242. assign V038800 = V432878 + 1. assign V546680 = V307986 - 1. assign V359025 = V733562. assign V736435 = V857887. assign V683015 = V082581. assign V321437 = V882975. assign V653057 = V709930. assign V062745 = V754230 - 1. assign V175519 = V782955. assign V599586 = V307986 + 1. assign V409221 = V013676. assign V350534 = V609976 - 1. assign V546335 = V857887 - 1. assign V286697 = V390798 + 1. assign V575048 = V409221 - 1. assign V390798 = V375003 + 1. assign V798829 = V263116. assign V013676 = V709930 + 1. assign V253688 = V219842 + 1. assign V290334 = V798829 - 1. assign V609976 = V297860. assign V733419 = V546680 + 1. assign V115710 = V147288 + 1. assign V834358 = V923336 - 1. assign V845353 = V591516. assign V297073 = V160015 + 1. assign V000621 = V254617 - 1. assign V828449 = V153287 - 1. assign V547023 = V709930. assign V367171 = V845353 - 1. assign V319632 = V754230 - 1. assign V151304 = V836824 + 1. assign V923336 = V156822 + 1. assign V295645 = V115710. assign V234746 = V359025 - 1. assign V567940 = V295645. assign V049515 = V569188. assign V219842 = V263267 + 1. assign V420029 = V319632. assign V075738 = V929133 - 1. assign V254617 = V138275 + 1. assign V806165 = V983232 + 1. assign V757717 = V733562 + 1. assign V134418 = V784348. assign V512914 = V156822 - 1. assign V076520 = V138275. assign V806137 = V286697. assign V917170 = V038800. assign V409329 = V801154 + 1. assign V768718 = V160015 - 1. assign V528052 = V834358 + 1. assign V497222 = V764858 - 1. assign V835922 = V736435. assign V506735 = V082581 - 1. assign V802865 = V546680. assign V576038 = V295350 + 1. assign V909529 = V263267 - 1. assign V875220 = V062745 + 1. assign V801154 = V964354. assign V733562 = V944307 - 1. assign V190303 = V836824 + 1. assign V353265 = V877722 + 1. assign V119971 = V609976 + 1. assign V856037 = V409221. assign V203882 = V673862 + 1. assign V146027 = V049515. assign V671116 = V062247 + 1. assign V673862 = V726046 + 1. assign V752944 = V062745. assign V082581 = V291369. assign V807792 = V093671 - 1. assign V153287 = V653057 + 1. assign V171401 = V754230 - 1. assign V869022 = V307986 + 1. assign V259496 = V782955 + 1. assign V592238 = V390798 + 1. assign V834202 = V709930 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V307986 = V082581 - 1. assign V709930 = V291369 - 1. assign V745329 = V102746. assign V126248 = V673862. assign V177590 = V506735 + 1. assign V996132 = V432878. assign V514180 = V261340 + 1. assign V375527 = V983232 - 1. assign V552766 = V895898. assign V522366 = V409221. assign V895898 = V297860. assign V781148 = V306505 - 1. assign V784348 = V754230 - 1. assign V625954 = V153287. assign V093671 = V291369 + 1. assign V147288 = V709930 - 1. assign V753793 = V857887 + 1. assign V726046 = V409221. assign V102746 = V153287 + 1. assign V578079 = V733562 + 1. assign V252534 = V160015 - 1. assign V894164 = V295350 + 1. assign V661198 = V671116. assign V857887 = V375003 + 1. assign V874980 = V375003. assign V630768 = V608889 + 1. assign V569188 = V062247 + 1. assign V437603 = V709930 - 1. assign V116904 = V062745 + 1. assign V919479 = V971536 - 1. assign V813156 = V177590 - 1. assign V048654 = V203882 - 1. assign V681714 = 9. assign V582318 = V599586 + 1. assign V012000 = V241528 + 1. assign V432878 = V836824 + 1. assign V964354 = V709930 + 1. assign V241528 = V753793. assign V091389 = V156822. assign V236681 = V989893 - 1. assign V160015 = V134418 - 1. assign V234781 = V359025. assign V355833 = V983232 - 1. assign V015290 = V944307. assign V036852 = V291369. assign V302143 = V295645 + 1. assign V836824 = V062745 + 1. assign V295350 = V092871 + 1. assign V908665 = V757717 + 1. assign V683197 = V736435. assign V551943 = V895898. assign V591516 = V914120 + 1. assign V062247 = V115710. assign V971606 = V295645 - 1. assign V263267 = V882975 + 1. assign V297860 = V754230 - 1. assign V834312 = V295350 + 1. assign V882975 = V567940 + 1. assign V156822 = V895898. assign V783607 = V375003 - 1. assign V559160 = V203882. assign V209974 = V576038 - 1. assign V364242 = V677513. assign V944307 = V297860 - 1. assign V306505 = V062745 - 1. assign V186926 = V259496 + 1. assign V766521 = V677513 + 1. assign V983232 = V653057 - 1. assign V132562 = V302143. assign V608889 = V013676 + 1. assign V361744 = V752944 + 1. assign V754230 = V709930. assign V989893 = V297073. assign V828798 = V138275 + 1. assign V138275 = V409221. assign V105564 = V409221. assign V877722 = V082581. assign V914120 = V807792 - 1. assign V843329 = V743238 - 1. assign V677513 = V319632. assign V261340 = V355833. assign V217152 = V082581. assign V626511 = V115710. assign V263116 = V062745 + 1. assign V971536 = V092871 + 1. assign V122557 = V709930 + 1. assign V764858 = V929133 + 1. assign V026845 = V914120 - 1. assign V092871 = V736435 + 1. assign V186975 = V681714 + 1. assign V375003 = V036852. assign V782955 = V306505 + 1. assign V357342 = V914120 + 1. assign V929133 = V752944 + 1. assign V743238 = V364242. assign V038800 = V432878 + 1. assign V546680 = V307986 - 1. assign V359025 = V733562. assign V736435 = V857887. assign V683015 = V082581. assign V321437 = V882975. assign V653057 = V709930. assign V062745 = V754230 - 1. assign V175519 = V782955. assign V599586 = V307986 + 1. assign V409221 = V013676. assign V350534 = V609976 - 1. assign V546335 = V857887 - 1. assign V286697 = V390798 + 1. assign V575048 = V409221 - 1. assign V390798 = V375003 + 1. assign V798829 = V263116. assign V013676 = V709930 + 1. assign V253688 = V219842 + 1. assign V290334 = V798829 - 1. assign V609976 = V297860. assign V733419 = V546680 + 1. assign V115710 = V147288 + 1. assign V834358 = V923336 - 1. assign V845353 = V591516. assign V297073 = V160015 + 1. assign V000621 = V254617 - 1. assign V828449 = V153287 - 1. assign V547023 = V709930. assign V367171 = V845353 - 1. assign V319632 = V754230 - 1. assign V151304 = V836824 + 1. assign V923336 = V156822 + 1. assign V295645 = V115710. assign V234746 = V359025 - 1. assign V567940 = V295645. assign V049515 = V569188. assign V219842 = V263267 + 1. assign V420029 = V319632. assign V075738 = V929133 - 1. assign V254617 = V138275 + 1. assign V806165 = V983232 + 1. assign V757717 = V733562 + 1. assign V134418 = V784348. assign V512914 = V156822 - 1. assign V076520 = V138275. assign V806137 = V286697. assign V917170 = V038800. assign V409329 = V801154 + 1. assign V768718 = V160015 - 1. assign V528052 = V834358 + 1. assign V497222 = V764858 - 1. assign V835922 = V736435. assign V506735 = V082581 - 1. assign V802865 = V546680. assign V576038 = V295350 + 1. assign V909529 = V263267 - 1. assign V875220 = V062745 + 1. assign V801154 = V964354. assign V733562 = V944307 - 1. assign V190303 = V836824 + 1. assign V353265 = V877722 + 1. assign V119971 = V609976 + 1. assign V856037 = V409221. assign V203882 = V673862 + 1. assign V146027 = V049515. assign V671116 = V062247 + 1. assign V673862 = V726046 + 1. assign V752944 = V062745. assign V082581 = V291369. assign V807792 = V093671 - 1. assign V153287 = V653057 + 1. assign V171401 = V754230 - 1. assign V869022 = V307986 + 1. assign V259496 = V782955 + 1. assign V592238 = V390798 + 1. assign V834202 = V709930 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV681714 = 9;\n\nFrom these direct assignment(s), we have: \nV186975 = V681714 + 1 = 9 + 1 =10;\nNo other variables can be derived from V186975;\nNo other variables can be derived from V681714;\n\nNow we have done all the calculations. Derived variables are:\nV681714 = 9;\nV186975 = 10;\n\nNow we have finished this problem. ANSWER:\nV681714\n", "role": "assistant" } ]

[ "V110288", "V495278" ]

[ { "content": "<context>\nassign V305134 = V531328 + 1. assign V110288 = 4. assign V813643 = V454669. assign V933641 = V327143 - 1. assign V634728 = V432082 + 1. assign V399174 = V531328 - 1. assign V288098 = V988083. assign V102658 = V288098. assign V408433 = V211270 - 1. assign V756296 = V760020. assign V883831 = V325015. assign V825812 = V502728. assign V137333 = V827131. assign V193714 = V727772 + 1. assign V450226 = V107794 - 1. assign V259878 = V755955 + 1. assign V279242 = V531328 + 1. assign V677336 = V319948 + 1. assign V630091 = V172350 - 1. assign V098378 = V827131 + 1. assign V540760 = V788556 - 1. assign V349333 = V203372 + 1. assign V380726 = V921193 - 1. assign V726367 = V219478 - 1. assign V983542 = V034336 - 1. assign V991501 = V569512 + 1. assign V626490 = V132598 - 1. assign V618358 = V253506 + 1. assign V921221 = V219478. assign V043230 = V317935 + 1. assign V986263 = V285570 + 1. assign V548792 = V656122 - 1. assign V193001 = V903277. assign V930453 = V253506 - 1. assign V046751 = V279242 - 1. assign V491798 = V455907 + 1. assign V575138 = V903777. assign V881315 = V656122 + 1. assign V906005 = V172350 + 1. assign V921193 = V098378 - 1. assign V788556 = V279242 + 1. assign V374649 = V569512 + 1. assign V501384 = V669589 - 1. assign V235820 = V987017. assign V411482 = V906005 + 1. assign V867939 = V235820 + 1. assign V868784 = V098356 - 1. assign V329718 = V903277 - 1. assign V432082 = V341996 - 1. assign V316548 = V098356. assign V646541 = V775878 + 1. assign V150364 = V813643 + 1. assign V089273 = V193001 - 1. assign V755955 = V906005. assign V987017 = V569512 + 1. assign V397552 = V203372 - 1. assign V426769 = V349333. assign V172547 = V548792 + 1. assign V751139 = V137333. assign V828256 = V821347 - 1. assign V571293 = V987017 - 1. assign V671700 = V633060. assign V247144 = V756296 + 1. assign V502728 = V765182. assign V754873 = V571293. assign V295418 = V386318. assign V211270 = V413645. assign V531328 = V583232 + 1. assign V641444 = V760020 + 1. assign V459158 = V211270 + 1. assign V442191 = V775878 + 1. assign V479373 = V862709 + 1. assign V760020 = V317935 - 1. assign V669589 = V374649 - 1. assign V679487 = V921221 - 1. assign V403360 = V349810 - 1. assign V325015 = V636369 - 1. assign V988083 = V765182 + 1. assign V765182 = V413645. assign V253506 = V413645 - 1. assign V534146 = V669589. assign V816729 = V193001 - 1. assign V098458 = V796820 + 1. assign V386318 = V832015 + 1. assign V343933 = V172350 - 1. assign V416327 = V251615 - 1. assign V843141 = V386318 - 1. assign V862709 = V162003 - 1. assign V495278 = V110288. assign V217374 = V762671 + 1. assign V377241 = V172350. assign V187402 = V788556 + 1. assign V067170 = V132598 - 1. assign V564471 = V636369 - 1. assign V626763 = V455907 + 1. assign V172350 = V317935 - 1. assign V821347 = V945920. assign V106369 = V162003 + 1. assign V132598 = V610024 - 1. assign V896595 = V162003. assign V610024 = V305134 + 1. assign V225990 = V455907 - 1. assign V678656 = V475102 + 1. assign V583232 = V849468. assign V945920 = V583232. assign V569512 = V760020 - 1. assign V349810 = V413645. assign V679816 = V098378 + 1. assign V775878 = V459158. assign V281847 = V203372 + 1. assign V098356 = V572926 - 1. assign V454669 = V760020 + 1. assign V836773 = V349333 + 1. assign V642184 = V945920 + 1. assign V827131 = V760020 - 1. assign V317935 = V765182. assign V551239 = V726367 - 1. assign V796820 = V162003 + 1. assign V327143 = V251615. assign V636369 = V813643 + 1. assign V890789 = V259878 + 1. assign V622200 = V317935 - 1. assign V832015 = V251615. assign V584438 = V211270 - 1. assign V924730 = V180416. assign V253739 = V945920 - 1. assign V162003 = V343933 + 1. assign V380265 = V295418 + 1. assign V180416 = V903277 + 1. assign V034336 = V349810 + 1. assign V753919 = V548792. assign V797006 = V849468. assign V572926 = V903277 + 1. assign V903277 = V349810 + 1. assign V800221 = V679487. assign V341996 = V760020 + 1. assign V475102 = V630091 - 1. assign V727772 = V630091. assign V455907 = V343933 + 1. assign V920165 = V281847 - 1. assign V091641 = V217374. assign V090369 = V251615 - 1. assign V656122 = V849468 - 1. assign V856433 = V646541. assign V129845 = V679487 + 1. assign V285570 = V796820 - 1. assign V903777 = V867939 - 1. assign V219478 = V813643. assign V453098 = V319948 - 1. assign V251615 = V906005. assign V107794 = V903277 + 1. assign V849468 = V349810 - 1. assign V984062 = V813643. assign V427979 = V459158. assign V319948 = V630091 - 1. assign V003983 = V622200. assign V203372 = V765182. assign V525593 = V427979 + 1. assign V129031 = V089273 + 1. assign V060172 = V455907 + 1. assign V191710 = V788556. assign V235508 = V317935 + 1. assign V633060 = V319948 - 1. assign V423421 = V988083 + 1. assign V073731 = V127663 - 1. assign V876163 = V630091 + 1. assign V910825 = V755955 - 1. assign V127663 = V180416 - 1. assign V659698 = V843141. assign V279883 = V150364. assign V542643 = V046751 + 1. assign V762671 = V903277.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V305134 = V531328 + 1. assign V110288 = 4. assign V813643 = V454669. assign V933641 = V327143 - 1. assign V634728 = V432082 + 1. assign V399174 = V531328 - 1. assign V288098 = V988083. assign V102658 = V288098. assign V408433 = V211270 - 1. assign V756296 = V760020. assign V883831 = V325015. assign V825812 = V502728. assign V137333 = V827131. assign V193714 = V727772 + 1. assign V450226 = V107794 - 1. assign V259878 = V755955 + 1. assign V279242 = V531328 + 1. assign V677336 = V319948 + 1. assign V630091 = V172350 - 1. assign V098378 = V827131 + 1. assign V540760 = V788556 - 1. assign V349333 = V203372 + 1. assign V380726 = V921193 - 1. assign V726367 = V219478 - 1. assign V983542 = V034336 - 1. assign V991501 = V569512 + 1. assign V626490 = V132598 - 1. assign V618358 = V253506 + 1. assign V921221 = V219478. assign V043230 = V317935 + 1. assign V986263 = V285570 + 1. assign V548792 = V656122 - 1. assign V193001 = V903277. assign V930453 = V253506 - 1. assign V046751 = V279242 - 1. assign V491798 = V455907 + 1. assign V575138 = V903777. assign V881315 = V656122 + 1. assign V906005 = V172350 + 1. assign V921193 = V098378 - 1. assign V788556 = V279242 + 1. assign V374649 = V569512 + 1. assign V501384 = V669589 - 1. assign V235820 = V987017. assign V411482 = V906005 + 1. assign V867939 = V235820 + 1. assign V868784 = V098356 - 1. assign V329718 = V903277 - 1. assign V432082 = V341996 - 1. assign V316548 = V098356. assign V646541 = V775878 + 1. assign V150364 = V813643 + 1. assign V089273 = V193001 - 1. assign V755955 = V906005. assign V987017 = V569512 + 1. assign V397552 = V203372 - 1. assign V426769 = V349333. assign V172547 = V548792 + 1. assign V751139 = V137333. assign V828256 = V821347 - 1. assign V571293 = V987017 - 1. assign V671700 = V633060. assign V247144 = V756296 + 1. assign V502728 = V765182. assign V754873 = V571293. assign V295418 = V386318. assign V211270 = V413645. assign V531328 = V583232 + 1. assign V641444 = V760020 + 1. assign V459158 = V211270 + 1. assign V442191 = V775878 + 1. assign V479373 = V862709 + 1. assign V760020 = V317935 - 1. assign V669589 = V374649 - 1. assign V679487 = V921221 - 1. assign V403360 = V349810 - 1. assign V325015 = V636369 - 1. assign V988083 = V765182 + 1. assign V765182 = V413645. assign V253506 = V413645 - 1. assign V534146 = V669589. assign V816729 = V193001 - 1. assign V098458 = V796820 + 1. assign V386318 = V832015 + 1. assign V343933 = V172350 - 1. assign V416327 = V251615 - 1. assign V843141 = V386318 - 1. assign V862709 = V162003 - 1. assign V495278 = V110288. assign V217374 = V762671 + 1. assign V377241 = V172350. assign V187402 = V788556 + 1. assign V067170 = V132598 - 1. assign V564471 = V636369 - 1. assign V626763 = V455907 + 1. assign V172350 = V317935 - 1. assign V821347 = V945920. assign V106369 = V162003 + 1. assign V132598 = V610024 - 1. assign V896595 = V162003. assign V610024 = V305134 + 1. assign V225990 = V455907 - 1. assign V678656 = V475102 + 1. assign V583232 = V849468. assign V945920 = V583232. assign V569512 = V760020 - 1. assign V349810 = V413645. assign V679816 = V098378 + 1. assign V775878 = V459158. assign V281847 = V203372 + 1. assign V098356 = V572926 - 1. assign V454669 = V760020 + 1. assign V836773 = V349333 + 1. assign V642184 = V945920 + 1. assign V827131 = V760020 - 1. assign V317935 = V765182. assign V551239 = V726367 - 1. assign V796820 = V162003 + 1. assign V327143 = V251615. assign V636369 = V813643 + 1. assign V890789 = V259878 + 1. assign V622200 = V317935 - 1. assign V832015 = V251615. assign V584438 = V211270 - 1. assign V924730 = V180416. assign V253739 = V945920 - 1. assign V162003 = V343933 + 1. assign V380265 = V295418 + 1. assign V180416 = V903277 + 1. assign V034336 = V349810 + 1. assign V753919 = V548792. assign V797006 = V849468. assign V572926 = V903277 + 1. assign V903277 = V349810 + 1. assign V800221 = V679487. assign V341996 = V760020 + 1. assign V475102 = V630091 - 1. assign V727772 = V630091. assign V455907 = V343933 + 1. assign V920165 = V281847 - 1. assign V091641 = V217374. assign V090369 = V251615 - 1. assign V656122 = V849468 - 1. assign V856433 = V646541. assign V129845 = V679487 + 1. assign V285570 = V796820 - 1. assign V903777 = V867939 - 1. assign V219478 = V813643. assign V453098 = V319948 - 1. assign V251615 = V906005. assign V107794 = V903277 + 1. assign V849468 = V349810 - 1. assign V984062 = V813643. assign V427979 = V459158. assign V319948 = V630091 - 1. assign V003983 = V622200. assign V203372 = V765182. assign V525593 = V427979 + 1. assign V129031 = V089273 + 1. assign V060172 = V455907 + 1. assign V191710 = V788556. assign V235508 = V317935 + 1. assign V633060 = V319948 - 1. assign V423421 = V988083 + 1. assign V073731 = V127663 - 1. assign V876163 = V630091 + 1. assign V910825 = V755955 - 1. assign V127663 = V180416 - 1. assign V659698 = V843141. assign V279883 = V150364. assign V542643 = V046751 + 1. assign V762671 = V903277.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV110288 = 4;\n\nFrom these direct assignment(s), we have: \nV495278 = V110288 = 4;\nNo other variables can be derived from V495278;\nNo other variables can be derived from V110288;\n\nNow we have done all the calculations. Derived variables are:\nV110288 = 4;\nV495278 = 4;\n\nNow we have finished this problem. ANSWER:\nV110288, V495278\n", "role": "assistant" } ]

[ "V068693", "V120029" ]

[ { "content": "<context>\nassign V878249 = V342928 + 1. assign V938000 = V163110. assign V337253 = V841265 - 1. assign V114524 = V467161. assign V746255 = V117347. assign V177036 = V764958 - 1. assign V832744 = V940224 - 1. assign V238554 = V179398. assign V305668 = V240347 - 1. assign V684297 = V499450 + 1. assign V057260 = V088980. assign V520814 = V748626 + 1. assign V321086 = V765780 + 1. assign V435400 = V524906 + 1. assign V541530 = V961474 - 1. assign V272186 = V117347. assign V642037 = V907699 + 1. assign V381122 = V347509. assign V725204 = V549863 - 1. assign V907020 = V294007 - 1. assign V476517 = V878249 - 1. assign V880009 = V943160. assign V334104 = V979129 - 1. assign V945668 = V305668. assign V214705 = V237781 - 1. assign V248982 = V179398 - 1. assign V355675 = V402712 + 1. assign V913959 = V940224. assign V617140 = V322799. assign V943160 = V272806 - 1. assign V231211 = V768884. assign V669220 = V748626. assign V976492 = V168805 + 1. assign V989714 = V079305 + 1. assign V957143 = V764958 - 1. assign V841265 = V945668 - 1. assign V294007 = V831928. assign V269162 = V454968. assign V348030 = V684297 - 1. assign V101865 = V360345. assign V008759 = V241115 - 1. assign V831928 = V237781 + 1. assign V437813 = V943160 + 1. assign V240347 = V642037 - 1. assign V840370 = V725204 - 1. assign V906393 = V907699 + 1. assign V067610 = V831928 + 1. assign V893607 = V553734. assign V068157 = V659152 + 1. assign V079305 = V248785 - 1. assign V765369 = V906393 - 1. assign V643835 = V907699 + 1. assign V424489 = V057260. assign V449642 = V396735 - 1. assign V396735 = V643835 - 1. assign V782329 = V907699 - 1. assign V558967 = V878249. assign V629429 = V782329 - 1. assign V549863 = V907699 - 1. assign V764958 = V756260 + 1. assign V940224 = V549863 - 1. assign V768884 = V945457. assign V926881 = V692739 + 1. assign V270925 = V575709 - 1. assign V524906 = V402712 + 1. assign V394594 = V906393. assign V497920 = V725204 - 1. assign V030701 = V659152. assign V545802 = V961474 - 1. assign V056461 = V355675. assign V657701 = V756260 - 1. assign V179759 = V396735 + 1. assign V181159 = V748626 - 1. assign V168805 = V240347 - 1. assign V241115 = V476517. assign V659152 = V478916. assign V934918 = V629429 - 1. assign V499450 = V943160. assign V523623 = V117347. assign V122376 = V355675. assign V098462 = V402712. assign V582578 = V342928 + 1. assign V348098 = V179398. assign V175562 = V322799 + 1. assign V179398 = V725204 - 1. assign V247146 = V305668. assign V447876 = V979129 - 1. assign V945457 = V240347 + 1. assign V342928 = V940224. assign V005217 = V906393 + 1. assign V570357 = V424058. assign V863874 = V782329 - 1. assign V248785 = V549863. assign V713787 = V643835. assign V512648 = V981707. assign V921406 = V688181 - 1. assign V979129 = V765780 + 1. assign V093241 = V272806. assign V452306 = V602560 - 1. assign V701762 = V670527 + 1. assign V958854 = V467161 + 1. assign V519693 = V305668 - 1. assign V708992 = V005217 + 1. assign V402712 = V746255. assign V819532 = V424489 + 1. assign V078653 = V748626 - 1. assign V670527 = V342928 - 1. assign V918513 = V355675 + 1. assign V210901 = V746255 + 1. assign V424058 = V168805 - 1. assign V651043 = V334104 + 1. assign V068693 = 10. assign V525750 = V342928. assign V331156 = V832744 + 1. assign V688181 = V961474 + 1. assign V521210 = V524906 + 1. assign V626955 = V840370 - 1. assign V117347 = V549863. assign V554354 = V549863 - 1. assign V420016 = V088980 - 1. assign V748626 = V782329 - 1. assign V692739 = V878249 + 1. assign V233582 = V067610 + 1. assign V756260 = V368566 + 1. assign V467161 = V476517 - 1. assign V961474 = V746255 + 1. assign V613513 = V168805 + 1. assign V981467 = V934918 + 1. assign V088980 = V453944. assign V940793 = V424489 - 1. assign V454968 = V248785 + 1. assign V148848 = V857535 + 1. assign V216009 = V541530. assign V081251 = V683614 + 1. assign V602560 = V214705 + 1. assign V322799 = V294007 + 1. assign V857535 = V210901 + 1. assign V594820 = V237781 + 1. assign V344666 = V078653 + 1. assign V554860 = V713787 + 1. assign V119003 = V907699. assign V575709 = V117347 - 1. assign V017257 = V713787. assign V458412 = V525750. assign V237781 = V305668. assign V347509 = V117347 - 1. assign V246360 = V832744. assign V683614 = V961474 + 1. assign V174157 = V322799. assign V931794 = V943160. assign V981707 = V368566 - 1. assign V453944 = V342928 - 1. assign V272806 = V368566 + 1. assign V119878 = V478916 + 1. assign V717140 = V467161. assign V765780 = V940224 + 1. assign V531697 = V692739 + 1. assign V163110 = V168805 + 1. assign V613997 = V210901. assign V478916 = V945457 + 1. assign V232734 = V765780 + 1. assign V825519 = V008759 - 1. assign V360345 = V424058 - 1. assign V368566 = V725204 - 1. assign V724912 = V907699. assign V137495 = V765780 + 1. assign V839350 = V402712 - 1. assign V120029 = V068693. assign V531399 = V248982 + 1. assign V491447 = V782329 + 1. assign V553734 = V907699. assign V683705 = V913959.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V878249 = V342928 + 1. assign V938000 = V163110. assign V337253 = V841265 - 1. assign V114524 = V467161. assign V746255 = V117347. assign V177036 = V764958 - 1. assign V832744 = V940224 - 1. assign V238554 = V179398. assign V305668 = V240347 - 1. assign V684297 = V499450 + 1. assign V057260 = V088980. assign V520814 = V748626 + 1. assign V321086 = V765780 + 1. assign V435400 = V524906 + 1. assign V541530 = V961474 - 1. assign V272186 = V117347. assign V642037 = V907699 + 1. assign V381122 = V347509. assign V725204 = V549863 - 1. assign V907020 = V294007 - 1. assign V476517 = V878249 - 1. assign V880009 = V943160. assign V334104 = V979129 - 1. assign V945668 = V305668. assign V214705 = V237781 - 1. assign V248982 = V179398 - 1. assign V355675 = V402712 + 1. assign V913959 = V940224. assign V617140 = V322799. assign V943160 = V272806 - 1. assign V231211 = V768884. assign V669220 = V748626. assign V976492 = V168805 + 1. assign V989714 = V079305 + 1. assign V957143 = V764958 - 1. assign V841265 = V945668 - 1. assign V294007 = V831928. assign V269162 = V454968. assign V348030 = V684297 - 1. assign V101865 = V360345. assign V008759 = V241115 - 1. assign V831928 = V237781 + 1. assign V437813 = V943160 + 1. assign V240347 = V642037 - 1. assign V840370 = V725204 - 1. assign V906393 = V907699 + 1. assign V067610 = V831928 + 1. assign V893607 = V553734. assign V068157 = V659152 + 1. assign V079305 = V248785 - 1. assign V765369 = V906393 - 1. assign V643835 = V907699 + 1. assign V424489 = V057260. assign V449642 = V396735 - 1. assign V396735 = V643835 - 1. assign V782329 = V907699 - 1. assign V558967 = V878249. assign V629429 = V782329 - 1. assign V549863 = V907699 - 1. assign V764958 = V756260 + 1. assign V940224 = V549863 - 1. assign V768884 = V945457. assign V926881 = V692739 + 1. assign V270925 = V575709 - 1. assign V524906 = V402712 + 1. assign V394594 = V906393. assign V497920 = V725204 - 1. assign V030701 = V659152. assign V545802 = V961474 - 1. assign V056461 = V355675. assign V657701 = V756260 - 1. assign V179759 = V396735 + 1. assign V181159 = V748626 - 1. assign V168805 = V240347 - 1. assign V241115 = V476517. assign V659152 = V478916. assign V934918 = V629429 - 1. assign V499450 = V943160. assign V523623 = V117347. assign V122376 = V355675. assign V098462 = V402712. assign V582578 = V342928 + 1. assign V348098 = V179398. assign V175562 = V322799 + 1. assign V179398 = V725204 - 1. assign V247146 = V305668. assign V447876 = V979129 - 1. assign V945457 = V240347 + 1. assign V342928 = V940224. assign V005217 = V906393 + 1. assign V570357 = V424058. assign V863874 = V782329 - 1. assign V248785 = V549863. assign V713787 = V643835. assign V512648 = V981707. assign V921406 = V688181 - 1. assign V979129 = V765780 + 1. assign V093241 = V272806. assign V452306 = V602560 - 1. assign V701762 = V670527 + 1. assign V958854 = V467161 + 1. assign V519693 = V305668 - 1. assign V708992 = V005217 + 1. assign V402712 = V746255. assign V819532 = V424489 + 1. assign V078653 = V748626 - 1. assign V670527 = V342928 - 1. assign V918513 = V355675 + 1. assign V210901 = V746255 + 1. assign V424058 = V168805 - 1. assign V651043 = V334104 + 1. assign V068693 = 10. assign V525750 = V342928. assign V331156 = V832744 + 1. assign V688181 = V961474 + 1. assign V521210 = V524906 + 1. assign V626955 = V840370 - 1. assign V117347 = V549863. assign V554354 = V549863 - 1. assign V420016 = V088980 - 1. assign V748626 = V782329 - 1. assign V692739 = V878249 + 1. assign V233582 = V067610 + 1. assign V756260 = V368566 + 1. assign V467161 = V476517 - 1. assign V961474 = V746255 + 1. assign V613513 = V168805 + 1. assign V981467 = V934918 + 1. assign V088980 = V453944. assign V940793 = V424489 - 1. assign V454968 = V248785 + 1. assign V148848 = V857535 + 1. assign V216009 = V541530. assign V081251 = V683614 + 1. assign V602560 = V214705 + 1. assign V322799 = V294007 + 1. assign V857535 = V210901 + 1. assign V594820 = V237781 + 1. assign V344666 = V078653 + 1. assign V554860 = V713787 + 1. assign V119003 = V907699. assign V575709 = V117347 - 1. assign V017257 = V713787. assign V458412 = V525750. assign V237781 = V305668. assign V347509 = V117347 - 1. assign V246360 = V832744. assign V683614 = V961474 + 1. assign V174157 = V322799. assign V931794 = V943160. assign V981707 = V368566 - 1. assign V453944 = V342928 - 1. assign V272806 = V368566 + 1. assign V119878 = V478916 + 1. assign V717140 = V467161. assign V765780 = V940224 + 1. assign V531697 = V692739 + 1. assign V163110 = V168805 + 1. assign V613997 = V210901. assign V478916 = V945457 + 1. assign V232734 = V765780 + 1. assign V825519 = V008759 - 1. assign V360345 = V424058 - 1. assign V368566 = V725204 - 1. assign V724912 = V907699. assign V137495 = V765780 + 1. assign V839350 = V402712 - 1. assign V120029 = V068693. assign V531399 = V248982 + 1. assign V491447 = V782329 + 1. assign V553734 = V907699. assign V683705 = V913959.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV068693 = 10;\n\nFrom these direct assignment(s), we have: \nV120029 = V068693 = 10;\nNo other variables can be derived from V120029;\nNo other variables can be derived from V068693;\n\nNow we have done all the calculations. Derived variables are:\nV068693 = 10;\nV120029 = 10;\n\nNow we have finished this problem. ANSWER:\nV068693, V120029\n", "role": "assistant" } ]

[ "V823975" ]

[ { "content": "<context>\nassign V470550 = V359948 + 1. assign V942763 = V944083 + 1. assign V210972 = V015819 + 1. assign V296269 = V015819 - 1. assign V501633 = V403545 - 1. assign V920826 = V470550 - 1. assign V249597 = V403545. assign V301422 = V239386. assign V429056 = V056107 - 1. assign V944923 = V484596 + 1. assign V531910 = V050230 + 1. assign V656800 = V513198 + 1. assign V036428 = V347626 + 1. assign V456304 = V210972 + 1. assign V743916 = V050230. assign V526423 = V601818 + 1. assign V523605 = V920826. assign V420638 = V244456 + 1. assign V191748 = V143303 - 1. assign V374284 = V918827 + 1. assign V244456 = V852600 + 1. assign V823975 = V451036 - 1. assign V277825 = V377907 + 1. assign V347626 = V143303 - 1. assign V235766 = V990921 + 1. assign V909654 = V657518. assign V837481 = V041472. assign V473617 = V239386. assign V141615 = V646122 + 1. assign V506579 = V608285 - 1. assign V937508 = V220198 - 1. assign V495007 = V157929. assign V469345 = V920826. assign V220198 = V733342. assign V336877 = V226737 + 1. assign V558540 = V226737. assign V444478 = V377907 + 1. assign V843644 = V291103. assign V721007 = V122246 + 1. assign V875476 = V942763 + 1. assign V886995 = V728756 - 1. assign V772283 = V484596 + 1. assign V041472 = V365072. assign V434225 = V944083 + 1. assign V623405 = V916599 + 1. assign V835904 = V970592 - 1. assign V359948 = V365072 + 1. assign V831338 = V970592 - 1. assign V657518 = V950153 - 1. assign V990921 = V041472 + 1. assign V451036 = 6. assign V403377 = V359948. assign V045605 = V272515 + 1. assign V868966 = V737085 + 1. assign V272515 = V041472 - 1. assign V337410 = V036428. assign V733342 = V728756. assign V074839 = V970592 + 1. assign V420056 = V728756. assign V900131 = V601818. assign V233714 = V691909 - 1. assign V742669 = V837481 + 1. assign V122246 = V143923. assign V771696 = V942763. assign V868112 = V900131 - 1. assign V708325 = V900131 - 1. assign V484596 = V900131. assign V561401 = V811291 + 1. assign V484330 = V470550 + 1. assign V455450 = V804395. assign V118802 = V728756 - 1. assign V400016 = V347626 + 1. assign V257279 = V115794. assign V202902 = V916599 + 1. assign V071475 = V646122 + 1. assign V143923 = V226737 - 1. assign V055950 = V899123 - 1. assign V041234 = V403545. assign V143303 = V852600 - 1. assign V050230 = V553299 - 1. assign V857536 = V190831 + 1. assign V673550 = V944923 + 1. assign V950153 = V220198 - 1. assign V553299 = V743456. assign V524392 = V468662. assign V811291 = V365072 + 1. assign V397640 = V942763 + 1. assign V134157 = V111961 + 1. assign V406818 = V143303 - 1. assign V639197 = V202902 + 1. assign V050193 = V916599. assign V494216 = V501633 - 1. assign V369163 = V045605 - 1. assign V395341 = V990921 + 1. assign V190831 = V928438. assign V153555 = V484308 - 1. assign V928438 = V899123 - 1. assign V852600 = V111961 + 1. assign V111961 = V916599 + 1. assign V792207 = V400016. assign V237797 = V115794. assign V895556 = V916599 - 1. assign V737085 = V403545. assign V511573 = V728756 - 1. assign V157929 = V928438. assign V234664 = V115794 + 1. assign V712712 = V220198 + 1. assign V140507 = V884321 + 1. assign V918827 = V473617. assign V674689 = V884321 + 1. assign V248372 = V884321 - 1. assign V778084 = V111961 + 1. assign V620200 = V056107. assign V352680 = V036428. assign V556021 = V835904. assign V916599 = V365072 + 1. assign V607538 = V272420. assign V663043 = V374284 - 1. assign V936718 = V531910 - 1. assign V608285 = V470550 + 1. assign V921551 = V601818 + 1. assign V872104 = V239386 - 1. assign V003058 = V852600 - 1. assign V400309 = V743456. assign V691909 = V034307. assign V272420 = V365072. assign V050031 = V036428 - 1. assign V866466 = V990921 + 1. assign V377907 = V916599 + 1. assign V335527 = V377907. assign V101507 = V558540 + 1. assign V804395 = V928438 - 1. assign V601818 = V015819 + 1. assign V071328 = V337410 + 1. assign V646122 = V470550 + 1. assign V734116 = V134157. assign V944083 = V674689. assign V884321 = V601818 + 1. assign V970592 = V134157. assign V291103 = V526423 + 1. assign V239386 = V900131 + 1. assign V989926 = V733342 + 1. assign V329965 = V374284 + 1. assign V092681 = V737085. assign V752828 = V455450 - 1. assign V226737 = V916599 - 1. assign V743456 = V899123 - 1. assign V781813 = V608285. assign V449629 = V400016 + 1. assign V403545 = V852600 + 1. assign V034307 = V045605. assign V115794 = V708325. assign V015819 = V359948 - 1. assign V513198 = V928438 - 1. assign V708726 = V003058. assign V484308 = V837481 + 1. assign V334300 = V041472. assign V728756 = V674689. assign V468662 = V473617 + 1. assign V899123 = V041472 - 1. assign V609582 = V122246 - 1. assign V546859 = V708325 + 1. assign V068720 = V942763 + 1. assign V353471 = V444478 - 1. assign V056107 = V601818. assign V420232 = V944083 - 1. assign V376190 = V015819. assign V796175 = V143923 - 1. assign V338507 = V989926 - 1. assign V116685 = V329965. assign V624193 = V928438. assign V002754 = V074839 + 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 V470550 = V359948 + 1. assign V942763 = V944083 + 1. assign V210972 = V015819 + 1. assign V296269 = V015819 - 1. assign V501633 = V403545 - 1. assign V920826 = V470550 - 1. assign V249597 = V403545. assign V301422 = V239386. assign V429056 = V056107 - 1. assign V944923 = V484596 + 1. assign V531910 = V050230 + 1. assign V656800 = V513198 + 1. assign V036428 = V347626 + 1. assign V456304 = V210972 + 1. assign V743916 = V050230. assign V526423 = V601818 + 1. assign V523605 = V920826. assign V420638 = V244456 + 1. assign V191748 = V143303 - 1. assign V374284 = V918827 + 1. assign V244456 = V852600 + 1. assign V823975 = V451036 - 1. assign V277825 = V377907 + 1. assign V347626 = V143303 - 1. assign V235766 = V990921 + 1. assign V909654 = V657518. assign V837481 = V041472. assign V473617 = V239386. assign V141615 = V646122 + 1. assign V506579 = V608285 - 1. assign V937508 = V220198 - 1. assign V495007 = V157929. assign V469345 = V920826. assign V220198 = V733342. assign V336877 = V226737 + 1. assign V558540 = V226737. assign V444478 = V377907 + 1. assign V843644 = V291103. assign V721007 = V122246 + 1. assign V875476 = V942763 + 1. assign V886995 = V728756 - 1. assign V772283 = V484596 + 1. assign V041472 = V365072. assign V434225 = V944083 + 1. assign V623405 = V916599 + 1. assign V835904 = V970592 - 1. assign V359948 = V365072 + 1. assign V831338 = V970592 - 1. assign V657518 = V950153 - 1. assign V990921 = V041472 + 1. assign V451036 = 6. assign V403377 = V359948. assign V045605 = V272515 + 1. assign V868966 = V737085 + 1. assign V272515 = V041472 - 1. assign V337410 = V036428. assign V733342 = V728756. assign V074839 = V970592 + 1. assign V420056 = V728756. assign V900131 = V601818. assign V233714 = V691909 - 1. assign V742669 = V837481 + 1. assign V122246 = V143923. assign V771696 = V942763. assign V868112 = V900131 - 1. assign V708325 = V900131 - 1. assign V484596 = V900131. assign V561401 = V811291 + 1. assign V484330 = V470550 + 1. assign V455450 = V804395. assign V118802 = V728756 - 1. assign V400016 = V347626 + 1. assign V257279 = V115794. assign V202902 = V916599 + 1. assign V071475 = V646122 + 1. assign V143923 = V226737 - 1. assign V055950 = V899123 - 1. assign V041234 = V403545. assign V143303 = V852600 - 1. assign V050230 = V553299 - 1. assign V857536 = V190831 + 1. assign V673550 = V944923 + 1. assign V950153 = V220198 - 1. assign V553299 = V743456. assign V524392 = V468662. assign V811291 = V365072 + 1. assign V397640 = V942763 + 1. assign V134157 = V111961 + 1. assign V406818 = V143303 - 1. assign V639197 = V202902 + 1. assign V050193 = V916599. assign V494216 = V501633 - 1. assign V369163 = V045605 - 1. assign V395341 = V990921 + 1. assign V190831 = V928438. assign V153555 = V484308 - 1. assign V928438 = V899123 - 1. assign V852600 = V111961 + 1. assign V111961 = V916599 + 1. assign V792207 = V400016. assign V237797 = V115794. assign V895556 = V916599 - 1. assign V737085 = V403545. assign V511573 = V728756 - 1. assign V157929 = V928438. assign V234664 = V115794 + 1. assign V712712 = V220198 + 1. assign V140507 = V884321 + 1. assign V918827 = V473617. assign V674689 = V884321 + 1. assign V248372 = V884321 - 1. assign V778084 = V111961 + 1. assign V620200 = V056107. assign V352680 = V036428. assign V556021 = V835904. assign V916599 = V365072 + 1. assign V607538 = V272420. assign V663043 = V374284 - 1. assign V936718 = V531910 - 1. assign V608285 = V470550 + 1. assign V921551 = V601818 + 1. assign V872104 = V239386 - 1. assign V003058 = V852600 - 1. assign V400309 = V743456. assign V691909 = V034307. assign V272420 = V365072. assign V050031 = V036428 - 1. assign V866466 = V990921 + 1. assign V377907 = V916599 + 1. assign V335527 = V377907. assign V101507 = V558540 + 1. assign V804395 = V928438 - 1. assign V601818 = V015819 + 1. assign V071328 = V337410 + 1. assign V646122 = V470550 + 1. assign V734116 = V134157. assign V944083 = V674689. assign V884321 = V601818 + 1. assign V970592 = V134157. assign V291103 = V526423 + 1. assign V239386 = V900131 + 1. assign V989926 = V733342 + 1. assign V329965 = V374284 + 1. assign V092681 = V737085. assign V752828 = V455450 - 1. assign V226737 = V916599 - 1. assign V743456 = V899123 - 1. assign V781813 = V608285. assign V449629 = V400016 + 1. assign V403545 = V852600 + 1. assign V034307 = V045605. assign V115794 = V708325. assign V015819 = V359948 - 1. assign V513198 = V928438 - 1. assign V708726 = V003058. assign V484308 = V837481 + 1. assign V334300 = V041472. assign V728756 = V674689. assign V468662 = V473617 + 1. assign V899123 = V041472 - 1. assign V609582 = V122246 - 1. assign V546859 = V708325 + 1. assign V068720 = V942763 + 1. assign V353471 = V444478 - 1. assign V056107 = V601818. assign V420232 = V944083 - 1. assign V376190 = V015819. assign V796175 = V143923 - 1. assign V338507 = V989926 - 1. assign V116685 = V329965. assign V624193 = V928438. assign V002754 = V074839 + 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):\nV451036 = 6;\n\nFrom these direct assignment(s), we have: \nV823975 = V451036 - 1 = 6 - 1 =5;\nNo other variables can be derived from V823975;\nNo other variables can be derived from V451036;\n\nNow we have done all the calculations. Derived variables are:\nV451036 = 6;\nV823975 = 5;\n\nNow we have finished this problem. ANSWER:\nV823975\n", "role": "assistant" } ]

[ "V621168" ]

[ { "content": "<context>\nassign V682682 = V163167 + 1. assign V877121 = V536417 + 1. assign V030103 = V645651 + 1. assign V951445 = V536417 - 1. assign V621168 = 6. assign V637441 = V807122. assign V200603 = V900125 + 1. assign V855897 = V242518 + 1. assign V617193 = V965456 + 1. assign V196101 = V376770 + 1. assign V690802 = V502149 + 1. assign V520326 = V900125. assign V241379 = V855897. assign V894707 = V242518 - 1. assign V793269 = V242254. assign V812694 = V266993 + 1. assign V634145 = V567456 + 1. assign V303755 = V948879 + 1. assign V736730 = V536417 - 1. assign V336652 = V365625 - 1. assign V065689 = V365625 - 1. assign V234751 = V921017. assign V557829 = V793269 - 1. assign V499565 = V161760 - 1. assign V875260 = V968915 + 1. assign V393413 = V271790 + 1. assign V133233 = V993001. assign V748171 = V325622 - 1. assign V968915 = V965456 + 1. assign V618493 = V499565 - 1. assign V312441 = V948879 + 1. assign V292716 = V401788 - 1. assign V851947 = V503344 + 1. assign V320254 = V030103 - 1. assign V664617 = V749955. assign V477758 = V450561 - 1. assign V355028 = V266993 - 1. assign V761036 = V740445 - 1. assign V466546 = V230647 + 1. assign V416079 = V985248 + 1. assign V600248 = V611062 - 1. assign V569939 = V455860 + 1. assign V382262 = V926755. assign V336125 = V276452 + 1. assign V809319 = V703556 + 1. assign V807620 = V900125. assign V515354 = V693177. assign V573103 = V276452 - 1. assign V609123 = V376770. assign V536417 = V900125. assign V693177 = V008227 - 1. assign V376770 = V781898 - 1. assign V645651 = V501595. assign V107486 = V849697. assign V281929 = V968915. assign V781898 = V281694 - 1. assign V929909 = V281694 - 1. assign V740445 = V200603. assign V465446 = V589565. assign V156761 = V909730. assign V115798 = V921017 + 1. assign V487750 = V929909 + 1. assign V099709 = V161760. assign V566189 = V951445. assign V324810 = V884641 - 1. assign V921017 = V200603 + 1. assign V067077 = V520326 - 1. assign V056752 = V567456. assign V393031 = V242254 + 1. assign V086436 = V030103. assign V161760 = V200603. assign V363062 = V252393 + 1. assign V620618 = V008227. assign V589565 = V487099. assign V405562 = V743190 - 1. assign V743190 = V450561 + 1. assign V434620 = V894707 - 1. assign V311266 = V234559 + 1. assign V267050 = V196101 - 1. assign V567456 = V115798 + 1. assign V476453 = V855897 + 1. assign V909730 = V365625 + 1. assign V503344 = V900125. assign V230647 = V325622 - 1. assign V242254 = V276452 - 1. assign V684192 = V611062 - 1. assign V392102 = V163167 - 1. assign V423470 = V855897 + 1. assign V487099 = V520326 + 1. assign V276452 = V200603. assign V915506 = V856824. assign V988808 = V276452 + 1. assign V965456 = V464179 + 1. assign V367744 = V320254 + 1. assign V511373 = V234751 + 1. assign V163167 = V242518 + 1. assign V609413 = V291306 - 1. assign V266993 = V464179 - 1. assign V807122 = V877121. assign V401788 = V740445. assign V187608 = V382262 - 1. assign V993001 = V600248 - 1. assign V008227 = V376770. assign V867485 = V954767. assign V618175 = V048694 + 1. assign V450561 = V276452 + 1. assign V884641 = V611062 - 1. assign V516402 = V379347 - 1. assign V048694 = V781898. assign V611062 = V200603. assign V455860 = V856824 + 1. assign V091842 = V807620. assign V985248 = V163167. assign V242518 = V929909 + 1. assign V271790 = V900125. assign V675373 = V230647. assign V501595 = V464179. assign V187491 = V133233 - 1. assign V801468 = V325622 + 1. assign V954767 = V567456. assign V536220 = V781898. assign V641444 = V611062 - 1. assign V281694 = V200603 + 1. assign V899303 = V048694 - 1. assign V900125 = V501595 + 1. assign V721067 = V929909. assign V484889 = V915506 - 1. assign V234559 = V650422 - 1. assign V244365 = V617193 - 1. assign V518851 = V781898 + 1. assign V471020 = V781898 + 1. assign V926755 = V611062 + 1. assign V426454 = V271790 - 1. assign V856824 = V325622. assign V047805 = V609413 - 1. assign V506324 = V637441. assign V355284 = V518851 - 1. assign V849697 = V471020. assign V625491 = V423470 + 1. assign V586790 = V434620. assign V813660 = V292716 - 1. assign V432969 = V591910 - 1. assign V894662 = V621168 - 1. assign V137936 = V242518 - 1. assign V252393 = V726038 + 1. assign V061768 = V091842 - 1. assign V650422 = V242518 + 1. assign V787564 = V781898 + 1. assign V290152 = V650422 - 1. assign V726038 = V591910 + 1. assign V365625 = V562544 - 1. assign V781113 = V303755 - 1. assign V379347 = V929909 + 1. assign V573895 = V271790 - 1. assign V654643 = V801468 - 1. assign V645890 = V518851. assign V406443 = V985248. assign V948879 = V645651 - 1. assign V918632 = V743190 - 1. assign V749955 = V781898 + 1. assign V908473 = V929909. assign V291306 = V900125. assign V591910 = V276452. assign V648989 = V856824 - 1. assign V703556 = V536220 - 1. assign V432373 = V609413. assign V874417 = V536220 + 1. assign V325622 = V740445 - 1. assign V678996 = V637441 + 1. assign V502149 = V801468. assign V562544 = V726038. assign V392562 = V281694 - 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 V682682 = V163167 + 1. assign V877121 = V536417 + 1. assign V030103 = V645651 + 1. assign V951445 = V536417 - 1. assign V621168 = 6. assign V637441 = V807122. assign V200603 = V900125 + 1. assign V855897 = V242518 + 1. assign V617193 = V965456 + 1. assign V196101 = V376770 + 1. assign V690802 = V502149 + 1. assign V520326 = V900125. assign V241379 = V855897. assign V894707 = V242518 - 1. assign V793269 = V242254. assign V812694 = V266993 + 1. assign V634145 = V567456 + 1. assign V303755 = V948879 + 1. assign V736730 = V536417 - 1. assign V336652 = V365625 - 1. assign V065689 = V365625 - 1. assign V234751 = V921017. assign V557829 = V793269 - 1. assign V499565 = V161760 - 1. assign V875260 = V968915 + 1. assign V393413 = V271790 + 1. assign V133233 = V993001. assign V748171 = V325622 - 1. assign V968915 = V965456 + 1. assign V618493 = V499565 - 1. assign V312441 = V948879 + 1. assign V292716 = V401788 - 1. assign V851947 = V503344 + 1. assign V320254 = V030103 - 1. assign V664617 = V749955. assign V477758 = V450561 - 1. assign V355028 = V266993 - 1. assign V761036 = V740445 - 1. assign V466546 = V230647 + 1. assign V416079 = V985248 + 1. assign V600248 = V611062 - 1. assign V569939 = V455860 + 1. assign V382262 = V926755. assign V336125 = V276452 + 1. assign V809319 = V703556 + 1. assign V807620 = V900125. assign V515354 = V693177. assign V573103 = V276452 - 1. assign V609123 = V376770. assign V536417 = V900125. assign V693177 = V008227 - 1. assign V376770 = V781898 - 1. assign V645651 = V501595. assign V107486 = V849697. assign V281929 = V968915. assign V781898 = V281694 - 1. assign V929909 = V281694 - 1. assign V740445 = V200603. assign V465446 = V589565. assign V156761 = V909730. assign V115798 = V921017 + 1. assign V487750 = V929909 + 1. assign V099709 = V161760. assign V566189 = V951445. assign V324810 = V884641 - 1. assign V921017 = V200603 + 1. assign V067077 = V520326 - 1. assign V056752 = V567456. assign V393031 = V242254 + 1. assign V086436 = V030103. assign V161760 = V200603. assign V363062 = V252393 + 1. assign V620618 = V008227. assign V589565 = V487099. assign V405562 = V743190 - 1. assign V743190 = V450561 + 1. assign V434620 = V894707 - 1. assign V311266 = V234559 + 1. assign V267050 = V196101 - 1. assign V567456 = V115798 + 1. assign V476453 = V855897 + 1. assign V909730 = V365625 + 1. assign V503344 = V900125. assign V230647 = V325622 - 1. assign V242254 = V276452 - 1. assign V684192 = V611062 - 1. assign V392102 = V163167 - 1. assign V423470 = V855897 + 1. assign V487099 = V520326 + 1. assign V276452 = V200603. assign V915506 = V856824. assign V988808 = V276452 + 1. assign V965456 = V464179 + 1. assign V367744 = V320254 + 1. assign V511373 = V234751 + 1. assign V163167 = V242518 + 1. assign V609413 = V291306 - 1. assign V266993 = V464179 - 1. assign V807122 = V877121. assign V401788 = V740445. assign V187608 = V382262 - 1. assign V993001 = V600248 - 1. assign V008227 = V376770. assign V867485 = V954767. assign V618175 = V048694 + 1. assign V450561 = V276452 + 1. assign V884641 = V611062 - 1. assign V516402 = V379347 - 1. assign V048694 = V781898. assign V611062 = V200603. assign V455860 = V856824 + 1. assign V091842 = V807620. assign V985248 = V163167. assign V242518 = V929909 + 1. assign V271790 = V900125. assign V675373 = V230647. assign V501595 = V464179. assign V187491 = V133233 - 1. assign V801468 = V325622 + 1. assign V954767 = V567456. assign V536220 = V781898. assign V641444 = V611062 - 1. assign V281694 = V200603 + 1. assign V899303 = V048694 - 1. assign V900125 = V501595 + 1. assign V721067 = V929909. assign V484889 = V915506 - 1. assign V234559 = V650422 - 1. assign V244365 = V617193 - 1. assign V518851 = V781898 + 1. assign V471020 = V781898 + 1. assign V926755 = V611062 + 1. assign V426454 = V271790 - 1. assign V856824 = V325622. assign V047805 = V609413 - 1. assign V506324 = V637441. assign V355284 = V518851 - 1. assign V849697 = V471020. assign V625491 = V423470 + 1. assign V586790 = V434620. assign V813660 = V292716 - 1. assign V432969 = V591910 - 1. assign V894662 = V621168 - 1. assign V137936 = V242518 - 1. assign V252393 = V726038 + 1. assign V061768 = V091842 - 1. assign V650422 = V242518 + 1. assign V787564 = V781898 + 1. assign V290152 = V650422 - 1. assign V726038 = V591910 + 1. assign V365625 = V562544 - 1. assign V781113 = V303755 - 1. assign V379347 = V929909 + 1. assign V573895 = V271790 - 1. assign V654643 = V801468 - 1. assign V645890 = V518851. assign V406443 = V985248. assign V948879 = V645651 - 1. assign V918632 = V743190 - 1. assign V749955 = V781898 + 1. assign V908473 = V929909. assign V291306 = V900125. assign V591910 = V276452. assign V648989 = V856824 - 1. assign V703556 = V536220 - 1. assign V432373 = V609413. assign V874417 = V536220 + 1. assign V325622 = V740445 - 1. assign V678996 = V637441 + 1. assign V502149 = V801468. assign V562544 = V726038. assign V392562 = V281694 - 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):\nV621168 = 6;\n\nFrom these direct assignment(s), we have: \nV894662 = V621168 - 1 = 6 - 1 =5;\nNo other variables can be derived from V894662;\nNo other variables can be derived from V621168;\n\nNow we have done all the calculations. Derived variables are:\nV621168 = 6;\nV894662 = 5;\n\nNow we have finished this problem. ANSWER:\nV621168\n", "role": "assistant" } ]

[ "V936330", "V882565" ]

[ { "content": "<context>\nassign V506193 = V551446 - 1. assign V374039 = V506193 + 1. assign V067097 = V010227 + 1. assign V469519 = V048476 + 1. assign V798505 = V773636. assign V373287 = V854874 + 1. assign V644189 = V551446 + 1. assign V859077 = V651832. assign V651832 = V087761. assign V255287 = V153977 - 1. assign V557503 = V551446. assign V641960 = V070707. assign V175214 = V736915 - 1. assign V471483 = V096914. assign V882565 = V936330. assign V047611 = V457096. assign V063857 = V172938 - 1. assign V010227 = V457096 - 1. assign V591961 = V506193 - 1. assign V667477 = V182019. assign V856570 = V719923. assign V745800 = V587728 - 1. assign V473418 = V281155 + 1. assign V328757 = V024833 + 1. assign V523201 = V070707 + 1. assign V551446 = V374502 + 1. assign V056494 = V067097 + 1. assign V964396 = V866930 - 1. assign V773636 = V010227 - 1. assign V380834 = V854874 - 1. assign V697763 = V453382 - 1. assign V912178 = V736915 + 1. assign V524011 = V515891 + 1. assign V924991 = V373287 + 1. assign V663049 = V943903 - 1. assign V899101 = V118049. assign V410152 = V657545 + 1. assign V168649 = V087761. assign V024833 = V168649 + 1. assign V974760 = V087761. assign V849075 = V894439. assign V852808 = V457096 + 1. assign V397065 = V911203. assign V238897 = V587728 + 1. assign V736915 = V067097. assign V866930 = V813701 - 1. assign V385384 = V118049 + 1. assign V153977 = V873123 - 1. assign V704661 = V700719 - 1. assign V261479 = V153977 - 1. assign V217591 = V587728 - 1. assign V478616 = V385384 - 1. assign V719923 = V936102 - 1. assign V226167 = V424246. assign V716086 = V206101 + 1. assign V725394 = V010227. assign V458646 = V118049 + 1. assign V048476 = V070707. assign V983094 = V070707. assign V691668 = V168649 - 1. assign V710719 = V506193 + 1. assign V702683 = V182019 + 1. assign V374502 = V096914 + 1. assign V752427 = V385384. assign V802369 = V795928 - 1. assign V118049 = V047611 - 1. assign V493712 = V767874. assign V414031 = V282120 - 1. assign V960563 = V795928 - 1. assign V788553 = V716086 + 1. assign V281155 = V964396 + 1. assign V182019 = V374502 - 1. assign V860537 = V710719. assign V216843 = V079754 - 1. assign V756703 = V866930 + 1. assign V810054 = V669056 + 1. assign V936330 = 7. assign V905699 = V999353 - 1. assign V038420 = V168649. assign V456348 = V096914 - 1. assign V488612 = V165608 - 1. assign V368595 = V839297 - 1. assign V836628 = V118049. assign V873123 = V238897 + 1. assign V581201 = V281155 - 1. assign V301449 = V506193 + 1. assign V619311 = V282120 - 1. assign V515891 = V414031. assign V672455 = V773636 - 1. assign V633949 = V424246 - 1. assign V703688 = V414031 - 1. assign V102509 = V410152 + 1. assign V483604 = V710719 + 1. assign V424246 = V473418 + 1. assign V457096 = V087761 - 1. assign V112865 = V524011 + 1. assign V795928 = V374502 - 1. assign V087761 = V282120. assign V920962 = V096914 + 1. assign V273134 = V445522. assign V644844 = V456348 + 1. assign V129244 = V606664 + 1. assign V069331 = V471483 - 1. assign V218940 = V020718. assign V165608 = V622987. assign V638297 = V669056 - 1. assign V272562 = V697763 - 1. assign V854874 = V457096 - 1. assign V843730 = V937750 + 1. assign V445522 = V456348. assign V773941 = V506193 + 1. assign V486155 = V067097 - 1. assign V937729 = V725394. assign V814891 = V096914. assign V366063 = V716086. assign V674059 = V390962 + 1. assign V622987 = V096914 + 1. assign V813701 = V911203 - 1. assign V911203 = V471483. assign V700719 = V175214 - 1. assign V302272 = V557503 + 1. assign V070707 = V369162 - 1. assign V839297 = V024833. assign V769473 = V641960 + 1. assign V390910 = V445522. assign V369511 = V414031 - 1. assign V999353 = V719923 + 1. assign V061898 = V063857. assign V606664 = V390962. assign V982077 = V795928 - 1. assign V077025 = V182019 + 1. assign V054434 = V067097. assign V369162 = V374502. assign V838775 = V445281 + 1. assign V236305 = V964396 + 1. assign V767874 = V024833 + 1. assign V758306 = V725394 + 1. assign V754030 = V814891. assign V445281 = V795928. assign V000552 = V587728 + 1. assign V096914 = V974760 + 1. assign V291292 = V736915. assign V250423 = V836628 - 1. assign V316793 = V217591 + 1. assign V271892 = V102509 - 1. assign V936102 = V622987 + 1. assign V370398 = V710719 - 1. assign V405744 = V859077 - 1. assign V271008 = V129244 - 1. assign V062166 = V497755 + 1. assign V730128 = V606664 + 1. assign V651806 = V849075 + 1. assign V894439 = V238897 + 1. assign V943903 = V810054. assign V353817 = V000552 + 1. assign V280751 = V238897 - 1. assign V261960 = V937729. assign V259430 = V795928. assign V541615 = V754030 - 1. assign V020718 = V622987. assign V172938 = V282120 + 1. assign V657545 = V172938 + 1. assign V206101 = V795928 - 1. assign V497755 = V725394. assign V051315 = V483604. assign V079754 = V385384 + 1. assign V669056 = V622987 - 1. assign V587728 = V414031. assign V390962 = V414031 + 1. assign V453382 = V206101. assign V270899 = V515891. assign V937750 = V691668 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V506193 = V551446 - 1. assign V374039 = V506193 + 1. assign V067097 = V010227 + 1. assign V469519 = V048476 + 1. assign V798505 = V773636. assign V373287 = V854874 + 1. assign V644189 = V551446 + 1. assign V859077 = V651832. assign V651832 = V087761. assign V255287 = V153977 - 1. assign V557503 = V551446. assign V641960 = V070707. assign V175214 = V736915 - 1. assign V471483 = V096914. assign V882565 = V936330. assign V047611 = V457096. assign V063857 = V172938 - 1. assign V010227 = V457096 - 1. assign V591961 = V506193 - 1. assign V667477 = V182019. assign V856570 = V719923. assign V745800 = V587728 - 1. assign V473418 = V281155 + 1. assign V328757 = V024833 + 1. assign V523201 = V070707 + 1. assign V551446 = V374502 + 1. assign V056494 = V067097 + 1. assign V964396 = V866930 - 1. assign V773636 = V010227 - 1. assign V380834 = V854874 - 1. assign V697763 = V453382 - 1. assign V912178 = V736915 + 1. assign V524011 = V515891 + 1. assign V924991 = V373287 + 1. assign V663049 = V943903 - 1. assign V899101 = V118049. assign V410152 = V657545 + 1. assign V168649 = V087761. assign V024833 = V168649 + 1. assign V974760 = V087761. assign V849075 = V894439. assign V852808 = V457096 + 1. assign V397065 = V911203. assign V238897 = V587728 + 1. assign V736915 = V067097. assign V866930 = V813701 - 1. assign V385384 = V118049 + 1. assign V153977 = V873123 - 1. assign V704661 = V700719 - 1. assign V261479 = V153977 - 1. assign V217591 = V587728 - 1. assign V478616 = V385384 - 1. assign V719923 = V936102 - 1. assign V226167 = V424246. assign V716086 = V206101 + 1. assign V725394 = V010227. assign V458646 = V118049 + 1. assign V048476 = V070707. assign V983094 = V070707. assign V691668 = V168649 - 1. assign V710719 = V506193 + 1. assign V702683 = V182019 + 1. assign V374502 = V096914 + 1. assign V752427 = V385384. assign V802369 = V795928 - 1. assign V118049 = V047611 - 1. assign V493712 = V767874. assign V414031 = V282120 - 1. assign V960563 = V795928 - 1. assign V788553 = V716086 + 1. assign V281155 = V964396 + 1. assign V182019 = V374502 - 1. assign V860537 = V710719. assign V216843 = V079754 - 1. assign V756703 = V866930 + 1. assign V810054 = V669056 + 1. assign V936330 = 7. assign V905699 = V999353 - 1. assign V038420 = V168649. assign V456348 = V096914 - 1. assign V488612 = V165608 - 1. assign V368595 = V839297 - 1. assign V836628 = V118049. assign V873123 = V238897 + 1. assign V581201 = V281155 - 1. assign V301449 = V506193 + 1. assign V619311 = V282120 - 1. assign V515891 = V414031. assign V672455 = V773636 - 1. assign V633949 = V424246 - 1. assign V703688 = V414031 - 1. assign V102509 = V410152 + 1. assign V483604 = V710719 + 1. assign V424246 = V473418 + 1. assign V457096 = V087761 - 1. assign V112865 = V524011 + 1. assign V795928 = V374502 - 1. assign V087761 = V282120. assign V920962 = V096914 + 1. assign V273134 = V445522. assign V644844 = V456348 + 1. assign V129244 = V606664 + 1. assign V069331 = V471483 - 1. assign V218940 = V020718. assign V165608 = V622987. assign V638297 = V669056 - 1. assign V272562 = V697763 - 1. assign V854874 = V457096 - 1. assign V843730 = V937750 + 1. assign V445522 = V456348. assign V773941 = V506193 + 1. assign V486155 = V067097 - 1. assign V937729 = V725394. assign V814891 = V096914. assign V366063 = V716086. assign V674059 = V390962 + 1. assign V622987 = V096914 + 1. assign V813701 = V911203 - 1. assign V911203 = V471483. assign V700719 = V175214 - 1. assign V302272 = V557503 + 1. assign V070707 = V369162 - 1. assign V839297 = V024833. assign V769473 = V641960 + 1. assign V390910 = V445522. assign V369511 = V414031 - 1. assign V999353 = V719923 + 1. assign V061898 = V063857. assign V606664 = V390962. assign V982077 = V795928 - 1. assign V077025 = V182019 + 1. assign V054434 = V067097. assign V369162 = V374502. assign V838775 = V445281 + 1. assign V236305 = V964396 + 1. assign V767874 = V024833 + 1. assign V758306 = V725394 + 1. assign V754030 = V814891. assign V445281 = V795928. assign V000552 = V587728 + 1. assign V096914 = V974760 + 1. assign V291292 = V736915. assign V250423 = V836628 - 1. assign V316793 = V217591 + 1. assign V271892 = V102509 - 1. assign V936102 = V622987 + 1. assign V370398 = V710719 - 1. assign V405744 = V859077 - 1. assign V271008 = V129244 - 1. assign V062166 = V497755 + 1. assign V730128 = V606664 + 1. assign V651806 = V849075 + 1. assign V894439 = V238897 + 1. assign V943903 = V810054. assign V353817 = V000552 + 1. assign V280751 = V238897 - 1. assign V261960 = V937729. assign V259430 = V795928. assign V541615 = V754030 - 1. assign V020718 = V622987. assign V172938 = V282120 + 1. assign V657545 = V172938 + 1. assign V206101 = V795928 - 1. assign V497755 = V725394. assign V051315 = V483604. assign V079754 = V385384 + 1. assign V669056 = V622987 - 1. assign V587728 = V414031. assign V390962 = V414031 + 1. assign V453382 = V206101. assign V270899 = V515891. assign V937750 = V691668 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV936330 = 7;\n\nFrom these direct assignment(s), we have: \nV882565 = V936330 = 7;\nNo other variables can be derived from V882565;\nNo other variables can be derived from V936330;\n\nNow we have done all the calculations. Derived variables are:\nV936330 = 7;\nV882565 = 7;\n\nNow we have finished this problem. ANSWER:\nV936330, V882565\n", "role": "assistant" } ]

[ "V862971", "V999100" ]

[ { "content": "<context>\nassign V447053 = V630831 - 1. assign V436910 = V278945. assign V462901 = V320220. assign V681442 = V755521 + 1. assign V219169 = V597803 + 1. assign V431623 = V695139 + 1. assign V047914 = V882485 - 1. assign V083516 = V823519 - 1. assign V336211 = V095680 + 1. assign V733587 = V454095. assign V306885 = V170665 + 1. assign V170665 = V782711. assign V808979 = V842467 + 1. assign V148101 = V097699. assign V610178 = V681442 + 1. assign V619978 = V880059 + 1. assign V427860 = V696789. assign V950423 = V095680. assign V054582 = V823840. assign V113945 = V767486. assign V756592 = V816493 - 1. assign V878831 = V949892 + 1. assign V861922 = V915152 - 1. assign V637826 = V426686 + 1. assign V972887 = V714262. assign V069791 = V888015 + 1. assign V187705 = V462901 - 1. assign V735746 = V320997. assign V827645 = V427860. assign V672107 = V063525 + 1. assign V998362 = V535699 - 1. assign V320997 = V238743 - 1. assign V072309 = V696789. assign V767486 = V749665 - 1. assign V999100 = V862971. assign V535699 = V336211. assign V425165 = V823519 + 1. assign V642039 = V095680. assign V758635 = V553274 + 1. assign V226923 = V881293 - 1. assign V915152 = V877260 - 1. assign V905458 = V758635 - 1. assign V121214 = V320997 + 1. assign V823840 = V311501. assign V817267 = V251255 + 1. assign V865467 = V097699 + 1. assign V340195 = V897828. assign V749665 = V363723 + 1. assign V454095 = V905458 - 1. assign V302991 = V108685 - 1. assign V593675 = V798581. assign V051340 = V063525. assign V636193 = V976008 + 1. assign V193002 = V423849 + 1. assign V024652 = V767486. assign V803945 = V950423 - 1. assign V227415 = V063525 + 1. assign V421559 = V134658 + 1. assign V201567 = V823840 + 1. assign V320220 = V877260. assign V363723 = V211339. assign V674748 = V205949. assign V423849 = V541314. assign V205949 = V035201 + 1. assign V613118 = V783539 + 1. assign V088989 = V237923. assign V780412 = V072309 - 1. assign V021089 = V861922 + 1. assign V735797 = V755695. assign V097699 = V642039 + 1. assign V613966 = V219169 - 1. assign V321894 = V695139 + 1. assign V695139 = V842467 - 1. assign V382590 = V897828 - 1. assign V278945 = V860405 + 1. assign V669714 = V881293. assign V782711 = V696789 + 1. assign V829877 = V095680 - 1. assign V869959 = V881293 + 1. assign V455841 = V054037. assign V755521 = V881293 + 1. assign V469556 = V320220 + 1. assign V312486 = V349487 + 1. assign V900341 = V986719 + 1. assign V426686 = V816493 + 1. assign V237923 = V363723 - 1. assign V630831 = V627731 - 1. assign V986719 = V421559 - 1. assign V238211 = V054037. assign V966898 = V756592 - 1. assign V696789 = V211339 + 1. assign V755695 = V860405 + 1. assign V783539 = V842467. assign V860405 = V072309 + 1. assign V035201 = V832674 - 1. assign V258586 = V426686. assign V432807 = V767486 + 1. assign V832674 = V755521 - 1. assign V231410 = V642039. assign V652707 = V290404 - 1. assign V753695 = V832674 + 1. assign V068992 = V285051. assign V862971 = 2. assign V311501 = V816493. assign V670650 = V238743 - 1. assign V597803 = V782711 + 1. assign V031403 = V808979. assign V528958 = V735746 - 1. assign V648747 = V306885 - 1. assign V897828 = V950423 + 1. assign V966460 = V242163. assign V682925 = V113945 - 1. assign V880059 = V095680 + 1. assign V063525 = V056234 + 1. assign V403867 = V869959. assign V539212 = V986719 + 1. assign V054037 = V425165. assign V242163 = V238743 - 1. assign V765884 = V986719 - 1. assign V056234 = V095680 + 1. assign V842467 = V095680. assign V753547 = V462901 + 1. assign V846218 = V258586 + 1. assign V193446 = V056234 - 1. assign V553274 = V755521 - 1. assign V250875 = V606727. assign V285051 = V642039 - 1. assign V306707 = V670650 - 1. assign V691426 = V915152 + 1. assign V246251 = V986719 + 1. assign V870783 = V823519. assign V714262 = V237923 - 1. assign V047633 = V251255 - 1. assign V586855 = V808979 + 1. assign V742123 = V170665. assign V211339 = V950423 - 1. assign V400890 = V054037 + 1. assign V890018 = V349487. assign V473989 = V735746. assign V349487 = V681442. assign V697851 = V421559 + 1. assign V946786 = V597803 + 1. assign V238743 = V897828 - 1. assign V288775 = V642039 + 1. assign V627731 = V877260 + 1. assign V976008 = V747644. assign V409505 = V056234 - 1. assign V747644 = V827645. assign V541314 = V877260 + 1. assign V816493 = V211339 + 1. assign V606727 = V905458. assign V114444 = V528958 + 1. assign V888015 = V755695. assign V108685 = V865467 - 1. assign V881293 = V363723. assign V882485 = V238743 - 1. assign V949892 = V421559 + 1. assign V927826 = V285051. assign V290404 = V134658. assign V225412 = V881293. assign V482691 = V148101 - 1. assign V291380 = V888015 + 1. assign V251255 = V363723 + 1. assign V016083 = V610178. assign V877260 = V747644. assign V576611 = V421559 - 1. assign V134658 = V950423 + 1. assign V338428 = V755695. assign V005932 = V285051 - 1. assign V823519 = V211339. assign V562720 = V097699 + 1. assign V798581 = V827645 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V447053 = V630831 - 1. assign V436910 = V278945. assign V462901 = V320220. assign V681442 = V755521 + 1. assign V219169 = V597803 + 1. assign V431623 = V695139 + 1. assign V047914 = V882485 - 1. assign V083516 = V823519 - 1. assign V336211 = V095680 + 1. assign V733587 = V454095. assign V306885 = V170665 + 1. assign V170665 = V782711. assign V808979 = V842467 + 1. assign V148101 = V097699. assign V610178 = V681442 + 1. assign V619978 = V880059 + 1. assign V427860 = V696789. assign V950423 = V095680. assign V054582 = V823840. assign V113945 = V767486. assign V756592 = V816493 - 1. assign V878831 = V949892 + 1. assign V861922 = V915152 - 1. assign V637826 = V426686 + 1. assign V972887 = V714262. assign V069791 = V888015 + 1. assign V187705 = V462901 - 1. assign V735746 = V320997. assign V827645 = V427860. assign V672107 = V063525 + 1. assign V998362 = V535699 - 1. assign V320997 = V238743 - 1. assign V072309 = V696789. assign V767486 = V749665 - 1. assign V999100 = V862971. assign V535699 = V336211. assign V425165 = V823519 + 1. assign V642039 = V095680. assign V758635 = V553274 + 1. assign V226923 = V881293 - 1. assign V915152 = V877260 - 1. assign V905458 = V758635 - 1. assign V121214 = V320997 + 1. assign V823840 = V311501. assign V817267 = V251255 + 1. assign V865467 = V097699 + 1. assign V340195 = V897828. assign V749665 = V363723 + 1. assign V454095 = V905458 - 1. assign V302991 = V108685 - 1. assign V593675 = V798581. assign V051340 = V063525. assign V636193 = V976008 + 1. assign V193002 = V423849 + 1. assign V024652 = V767486. assign V803945 = V950423 - 1. assign V227415 = V063525 + 1. assign V421559 = V134658 + 1. assign V201567 = V823840 + 1. assign V320220 = V877260. assign V363723 = V211339. assign V674748 = V205949. assign V423849 = V541314. assign V205949 = V035201 + 1. assign V613118 = V783539 + 1. assign V088989 = V237923. assign V780412 = V072309 - 1. assign V021089 = V861922 + 1. assign V735797 = V755695. assign V097699 = V642039 + 1. assign V613966 = V219169 - 1. assign V321894 = V695139 + 1. assign V695139 = V842467 - 1. assign V382590 = V897828 - 1. assign V278945 = V860405 + 1. assign V669714 = V881293. assign V782711 = V696789 + 1. assign V829877 = V095680 - 1. assign V869959 = V881293 + 1. assign V455841 = V054037. assign V755521 = V881293 + 1. assign V469556 = V320220 + 1. assign V312486 = V349487 + 1. assign V900341 = V986719 + 1. assign V426686 = V816493 + 1. assign V237923 = V363723 - 1. assign V630831 = V627731 - 1. assign V986719 = V421559 - 1. assign V238211 = V054037. assign V966898 = V756592 - 1. assign V696789 = V211339 + 1. assign V755695 = V860405 + 1. assign V783539 = V842467. assign V860405 = V072309 + 1. assign V035201 = V832674 - 1. assign V258586 = V426686. assign V432807 = V767486 + 1. assign V832674 = V755521 - 1. assign V231410 = V642039. assign V652707 = V290404 - 1. assign V753695 = V832674 + 1. assign V068992 = V285051. assign V862971 = 2. assign V311501 = V816493. assign V670650 = V238743 - 1. assign V597803 = V782711 + 1. assign V031403 = V808979. assign V528958 = V735746 - 1. assign V648747 = V306885 - 1. assign V897828 = V950423 + 1. assign V966460 = V242163. assign V682925 = V113945 - 1. assign V880059 = V095680 + 1. assign V063525 = V056234 + 1. assign V403867 = V869959. assign V539212 = V986719 + 1. assign V054037 = V425165. assign V242163 = V238743 - 1. assign V765884 = V986719 - 1. assign V056234 = V095680 + 1. assign V842467 = V095680. assign V753547 = V462901 + 1. assign V846218 = V258586 + 1. assign V193446 = V056234 - 1. assign V553274 = V755521 - 1. assign V250875 = V606727. assign V285051 = V642039 - 1. assign V306707 = V670650 - 1. assign V691426 = V915152 + 1. assign V246251 = V986719 + 1. assign V870783 = V823519. assign V714262 = V237923 - 1. assign V047633 = V251255 - 1. assign V586855 = V808979 + 1. assign V742123 = V170665. assign V211339 = V950423 - 1. assign V400890 = V054037 + 1. assign V890018 = V349487. assign V473989 = V735746. assign V349487 = V681442. assign V697851 = V421559 + 1. assign V946786 = V597803 + 1. assign V238743 = V897828 - 1. assign V288775 = V642039 + 1. assign V627731 = V877260 + 1. assign V976008 = V747644. assign V409505 = V056234 - 1. assign V747644 = V827645. assign V541314 = V877260 + 1. assign V816493 = V211339 + 1. assign V606727 = V905458. assign V114444 = V528958 + 1. assign V888015 = V755695. assign V108685 = V865467 - 1. assign V881293 = V363723. assign V882485 = V238743 - 1. assign V949892 = V421559 + 1. assign V927826 = V285051. assign V290404 = V134658. assign V225412 = V881293. assign V482691 = V148101 - 1. assign V291380 = V888015 + 1. assign V251255 = V363723 + 1. assign V016083 = V610178. assign V877260 = V747644. assign V576611 = V421559 - 1. assign V134658 = V950423 + 1. assign V338428 = V755695. assign V005932 = V285051 - 1. assign V823519 = V211339. assign V562720 = V097699 + 1. assign V798581 = V827645 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV862971 = 2;\n\nFrom these direct assignment(s), we have: \nV999100 = V862971 = 2;\nNo other variables can be derived from V999100;\nNo other variables can be derived from V862971;\n\nNow we have done all the calculations. Derived variables are:\nV862971 = 2;\nV999100 = 2;\n\nNow we have finished this problem. ANSWER:\nV862971, V999100\n", "role": "assistant" } ]

[ "V455006", "V649157" ]

[ { "content": "<context>\nassign V011178 = V976447. assign V865351 = V692618 - 1. assign V054248 = V445181 + 1. assign V061397 = V656457. assign V456859 = V312075 - 1. assign V737837 = V722409 - 1. assign V867606 = V222863. assign V357077 = V732692. assign V328420 = V952270. assign V391291 = V363812 + 1. assign V721119 = V557049 + 1. assign V675530 = V308823 + 1. assign V959262 = V883093. assign V488122 = V987559. assign V404442 = V222863 + 1. assign V306138 = V262639 + 1. assign V618962 = V404442 + 1. assign V301911 = V829425 + 1. assign V952270 = V262639 + 1. assign V858683 = V715788 - 1. assign V973680 = V431969. assign V976447 = V394938 + 1. assign V885540 = V222863 + 1. assign V230240 = V185176. assign V862101 = V075855 + 1. assign V554621 = V262639 - 1. assign V302531 = V160552 + 1. assign V013902 = V061397 - 1. assign V747517 = V506202. assign V239670 = V609352 + 1. assign V844612 = V338785 + 1. assign V770152 = V338785 + 1. assign V327545 = V079019 + 1. assign V987559 = V035588 + 1. assign V705662 = V823334 - 1. assign V760309 = V675530. assign V593290 = V452218. assign V656457 = V222863 - 1. assign V895621 = V772508 - 1. assign V251349 = V557735 + 1. assign V262639 = V715788 - 1. assign V905625 = V160552. assign V185176 = V134538. assign V062733 = V952270. assign V950147 = V503901 - 1. assign V571613 = V609352 + 1. assign V385344 = V431969. assign V596835 = V865351 + 1. assign V955901 = V452218 - 1. assign V075855 = V557735 - 1. assign V341815 = V619652 - 1. assign V445181 = V952270 + 1. assign V977947 = V075855 + 1. assign V724570 = V955901. assign V395104 = V656457. assign V203683 = V772508 + 1. assign V406234 = V862101 + 1. assign V196900 = V312075. assign V423838 = V452218 - 1. assign V574964 = V349999 - 1. assign V704214 = V478529 - 1. assign V380158 = V302531. assign V304063 = V323507 - 1. assign V043602 = V391291 + 1. assign V000426 = V363812 + 1. assign V322395 = V156486 - 1. assign V389983 = V949214. assign V340262 = V844283 + 1. assign V829425 = V431969 + 1. assign V772508 = V987559 - 1. assign V939451 = V456859 - 1. assign V237689 = V262639. assign V394938 = V885540 + 1. assign V788810 = V722409. assign V629931 = V243363 - 1. assign V442241 = V031097 - 1. assign V056882 = V656457 - 1. assign V164764 = V233234 + 1. assign V323507 = V322722 + 1. assign V844283 = V075855 + 1. assign V616415 = V251349 + 1. assign V279971 = V208583 - 1. assign V538463 = V134538. assign V740053 = V858683. assign V782398 = V222863 + 1. assign V823334 = V939451. assign V338785 = V156486 + 1. assign V486988 = V959262. assign V158924 = V820829. assign V156486 = V222863. assign V190836 = V557049 - 1. assign V397002 = V306138. assign V660418 = V035588 - 1. assign V642962 = V404442 + 1. assign V973319 = V251349 + 1. assign V312075 = V394938 - 1. assign V160552 = V156486 + 1. assign V322722 = V222863 + 1. assign V831439 = V554621 + 1. assign V820829 = V452218 + 1. assign V994437 = V865351. assign V722409 = V035588 - 1. assign V677935 = V452218 + 1. assign V167039 = V867606 + 1. assign V478529 = V322395 + 1. assign V949214 = V338785. assign V503901 = V061397 + 1. assign V715646 = V609352 - 1. assign V419692 = V304063 + 1. assign V452218 = V969459 - 1. assign V011001 = V035588. assign V969459 = V987559. assign V715788 = V156486 + 1. assign V244161 = V375063 - 1. assign V669164 = V160552. assign V609352 = V987559. assign V461793 = V151809 - 1. assign V269919 = V233234 - 1. assign V883093 = V322722 - 1. assign V105904 = V035588 + 1. assign V543092 = V340262. assign V375063 = V011001. assign V649157 = V455006. assign V558747 = V618962 + 1. assign V289464 = V581291 - 1. assign V900706 = V375063 - 1. assign V774077 = V222863. assign V308823 = V167039. assign V134538 = V233234 - 1. assign V360605 = V308823 - 1. assign V402928 = V973680 - 1. assign V233234 = V167039. assign V018527 = V075855. assign V079019 = V869726 + 1. assign V147948 = V312075. assign V534450 = V715788. assign V455006 = 6. assign V120514 = V732692 - 1. assign V038170 = V385344. assign V243363 = V251349 + 1. assign V719661 = V344990 + 1. assign V506202 = V593290 + 1. assign V363812 = V747517 - 1. assign V900243 = V537389 - 1. assign V384431 = V461793 + 1. assign V537389 = V721119 + 1. assign V035588 = V075855 + 1. assign V482204 = V977947 - 1. assign V208583 = V404442 - 1. assign V772814 = V349999. assign V987203 = V885540 - 1. assign V757770 = V038170 - 1. assign V151809 = V075855 - 1. assign V869726 = V061397. assign V222420 = V692618 - 1. assign V692618 = V959262 + 1. assign V619652 = V977947. assign V130985 = V955901. assign V581291 = V557049. assign V112980 = V715788 - 1. assign V880648 = V147948. assign V431969 = V844612 + 1. assign V344990 = V056882 + 1. assign V732692 = V196900 - 1. assign V557735 = V858683 + 1. assign V349999 = V208583 + 1. assign V766103 = V858683 + 1. assign V031097 = V222863. assign V966203 = V208583. assign V557049 = V478529 + 1. assign V528715 = V831439. assign V178296 = V340262 - 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 V011178 = V976447. assign V865351 = V692618 - 1. assign V054248 = V445181 + 1. assign V061397 = V656457. assign V456859 = V312075 - 1. assign V737837 = V722409 - 1. assign V867606 = V222863. assign V357077 = V732692. assign V328420 = V952270. assign V391291 = V363812 + 1. assign V721119 = V557049 + 1. assign V675530 = V308823 + 1. assign V959262 = V883093. assign V488122 = V987559. assign V404442 = V222863 + 1. assign V306138 = V262639 + 1. assign V618962 = V404442 + 1. assign V301911 = V829425 + 1. assign V952270 = V262639 + 1. assign V858683 = V715788 - 1. assign V973680 = V431969. assign V976447 = V394938 + 1. assign V885540 = V222863 + 1. assign V230240 = V185176. assign V862101 = V075855 + 1. assign V554621 = V262639 - 1. assign V302531 = V160552 + 1. assign V013902 = V061397 - 1. assign V747517 = V506202. assign V239670 = V609352 + 1. assign V844612 = V338785 + 1. assign V770152 = V338785 + 1. assign V327545 = V079019 + 1. assign V987559 = V035588 + 1. assign V705662 = V823334 - 1. assign V760309 = V675530. assign V593290 = V452218. assign V656457 = V222863 - 1. assign V895621 = V772508 - 1. assign V251349 = V557735 + 1. assign V262639 = V715788 - 1. assign V905625 = V160552. assign V185176 = V134538. assign V062733 = V952270. assign V950147 = V503901 - 1. assign V571613 = V609352 + 1. assign V385344 = V431969. assign V596835 = V865351 + 1. assign V955901 = V452218 - 1. assign V075855 = V557735 - 1. assign V341815 = V619652 - 1. assign V445181 = V952270 + 1. assign V977947 = V075855 + 1. assign V724570 = V955901. assign V395104 = V656457. assign V203683 = V772508 + 1. assign V406234 = V862101 + 1. assign V196900 = V312075. assign V423838 = V452218 - 1. assign V574964 = V349999 - 1. assign V704214 = V478529 - 1. assign V380158 = V302531. assign V304063 = V323507 - 1. assign V043602 = V391291 + 1. assign V000426 = V363812 + 1. assign V322395 = V156486 - 1. assign V389983 = V949214. assign V340262 = V844283 + 1. assign V829425 = V431969 + 1. assign V772508 = V987559 - 1. assign V939451 = V456859 - 1. assign V237689 = V262639. assign V394938 = V885540 + 1. assign V788810 = V722409. assign V629931 = V243363 - 1. assign V442241 = V031097 - 1. assign V056882 = V656457 - 1. assign V164764 = V233234 + 1. assign V323507 = V322722 + 1. assign V844283 = V075855 + 1. assign V616415 = V251349 + 1. assign V279971 = V208583 - 1. assign V538463 = V134538. assign V740053 = V858683. assign V782398 = V222863 + 1. assign V823334 = V939451. assign V338785 = V156486 + 1. assign V486988 = V959262. assign V158924 = V820829. assign V156486 = V222863. assign V190836 = V557049 - 1. assign V397002 = V306138. assign V660418 = V035588 - 1. assign V642962 = V404442 + 1. assign V973319 = V251349 + 1. assign V312075 = V394938 - 1. assign V160552 = V156486 + 1. assign V322722 = V222863 + 1. assign V831439 = V554621 + 1. assign V820829 = V452218 + 1. assign V994437 = V865351. assign V722409 = V035588 - 1. assign V677935 = V452218 + 1. assign V167039 = V867606 + 1. assign V478529 = V322395 + 1. assign V949214 = V338785. assign V503901 = V061397 + 1. assign V715646 = V609352 - 1. assign V419692 = V304063 + 1. assign V452218 = V969459 - 1. assign V011001 = V035588. assign V969459 = V987559. assign V715788 = V156486 + 1. assign V244161 = V375063 - 1. assign V669164 = V160552. assign V609352 = V987559. assign V461793 = V151809 - 1. assign V269919 = V233234 - 1. assign V883093 = V322722 - 1. assign V105904 = V035588 + 1. assign V543092 = V340262. assign V375063 = V011001. assign V649157 = V455006. assign V558747 = V618962 + 1. assign V289464 = V581291 - 1. assign V900706 = V375063 - 1. assign V774077 = V222863. assign V308823 = V167039. assign V134538 = V233234 - 1. assign V360605 = V308823 - 1. assign V402928 = V973680 - 1. assign V233234 = V167039. assign V018527 = V075855. assign V079019 = V869726 + 1. assign V147948 = V312075. assign V534450 = V715788. assign V455006 = 6. assign V120514 = V732692 - 1. assign V038170 = V385344. assign V243363 = V251349 + 1. assign V719661 = V344990 + 1. assign V506202 = V593290 + 1. assign V363812 = V747517 - 1. assign V900243 = V537389 - 1. assign V384431 = V461793 + 1. assign V537389 = V721119 + 1. assign V035588 = V075855 + 1. assign V482204 = V977947 - 1. assign V208583 = V404442 - 1. assign V772814 = V349999. assign V987203 = V885540 - 1. assign V757770 = V038170 - 1. assign V151809 = V075855 - 1. assign V869726 = V061397. assign V222420 = V692618 - 1. assign V692618 = V959262 + 1. assign V619652 = V977947. assign V130985 = V955901. assign V581291 = V557049. assign V112980 = V715788 - 1. assign V880648 = V147948. assign V431969 = V844612 + 1. assign V344990 = V056882 + 1. assign V732692 = V196900 - 1. assign V557735 = V858683 + 1. assign V349999 = V208583 + 1. assign V766103 = V858683 + 1. assign V031097 = V222863. assign V966203 = V208583. assign V557049 = V478529 + 1. assign V528715 = V831439. assign V178296 = V340262 - 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):\nV455006 = 6;\n\nFrom these direct assignment(s), we have: \nV649157 = V455006 = 6;\nNo other variables can be derived from V649157;\nNo other variables can be derived from V455006;\n\nNow we have done all the calculations. Derived variables are:\nV455006 = 6;\nV649157 = 6;\n\nNow we have finished this problem. ANSWER:\nV455006, V649157\n", "role": "assistant" } ]

[ "V673716", "V993989" ]

[ { "content": "<context>\nassign V635245 = V574434. assign V932898 = V574434. assign V246459 = V518076 + 1. assign V920287 = V584510 + 1. assign V821332 = V966841. assign V552368 = V105526. assign V623507 = V574434 - 1. assign V381854 = V784442 + 1. assign V536733 = V966841 - 1. assign V714963 = V273678 - 1. assign V321613 = V011566 + 1. assign V265116 = V262295 + 1. assign V195577 = V515832 - 1. assign V672977 = V273678. assign V419425 = V119756 + 1. assign V154537 = V329428 - 1. assign V296031 = V292379. assign V806216 = V292379 + 1. assign V903907 = V705981 + 1. assign V046631 = V162546. assign V280304 = V635245. assign V993989 = V673716. assign V584510 = V149345. assign V466622 = V916061. assign V797970 = V448453 + 1. assign V407751 = V578254 + 1. assign V113256 = V684399 - 1. assign V337592 = V149345. assign V091561 = V574551 + 1. assign V202824 = V303002. assign V162585 = V152744 + 1. assign V303002 = V643049 - 1. assign V990088 = V466622 - 1. assign V970821 = V806216 - 1. assign V145933 = V014724 + 1. assign V518076 = V947573. assign V149345 = V574434 - 1. assign V201643 = V371239 - 1. assign V684399 = V515832 - 1. assign V595539 = V613347 - 1. assign V463392 = V694084. assign V888531 = V407442 - 1. assign V643049 = V390433. assign V232767 = V084565 - 1. assign V784442 = V759073 + 1. assign V939533 = V666406 + 1. assign V193527 = V337592 + 1. assign V591406 = V802372 + 1. assign V262295 = V666406. assign V156115 = V294340. assign V171218 = V807268. assign V506665 = V105526. assign V823767 = V046631. assign V521529 = V007638 - 1. assign V613347 = V496004 + 1. assign V011566 = V105526. assign V410202 = V149345 - 1. assign V574551 = V105526. assign V407442 = V666406 + 1. assign V104388 = V613347 - 1. assign V085563 = V195577. assign V652424 = V581678 + 1. assign V172144 = V509507. assign V051996 = V623507 + 1. assign V074568 = V916061 - 1. assign V776778 = V145324 - 1. assign V578254 = V074568 - 1. assign V908798 = V966841. assign V805120 = V113256. assign V522918 = V989889 - 1. assign V139469 = V989889. assign V294340 = V506665 + 1. assign V662653 = V887694 - 1. assign V294486 = V602436. assign V057127 = V210746. assign V805339 = V084565. assign V515832 = V105526 - 1. assign V869169 = V292379 - 1. assign V099984 = V975243 + 1. assign V807268 = V821332. assign V329428 = V149345. assign V242424 = V989889. assign V150611 = V084565 - 1. assign V302105 = V407442. assign V921675 = V705981. assign V123204 = V877118 + 1. assign V119756 = V578254. assign V591281 = V518076. assign V989889 = V377724. assign V377724 = V727138 - 1. assign V581678 = V989889 - 1. assign V275208 = V602436. assign V007638 = V635245. assign V712609 = V145227. assign V442879 = V145933. assign V273678 = V145227. assign V599557 = V074568 - 1. assign V749350 = V591406 + 1. assign V183429 = V242424. assign V409965 = V456348 - 1. assign V685519 = V506665. assign V666406 = V149345 + 1. assign V197785 = V145933 - 1. assign V305808 = V381854 + 1. assign V887694 = V091561 + 1. assign V084565 = V574434. assign V192322 = V060793. assign V014724 = V888531 + 1. assign V194465 = V377724 - 1. assign V082439 = V060793 - 1. assign V966841 = V337592 + 1. assign V574434 = V916061 + 1. assign V210746 = V091561 - 1. assign V791056 = V419425 + 1. assign V588407 = V659155 + 1. assign V344093 = V145933. assign V243171 = V888531. assign V915817 = V652424. assign V145227 = V515832 + 1. assign V947573 = V150611. assign V123017 = V525366 - 1. assign V241898 = V546876 - 1. assign V525366 = V522918 - 1. assign V305131 = V139469 - 1. assign V893146 = V057127 + 1. assign V797062 = V838718 - 1. assign V907597 = V448453. assign V448453 = V419425 + 1. assign V509507 = V007638 - 1. assign V962730 = V149345 + 1. assign V334509 = V046631. assign V975243 = V920287 - 1. assign V675031 = V183429 + 1. assign V877118 = V759073 + 1. assign V972663 = V536733. assign V838718 = V192322 + 1. assign V496004 = V377724 - 1. assign V727138 = V105526 - 1. assign V537068 = V232767 - 1. assign V400105 = V496004 - 1. assign V669692 = V714963 - 1. assign V968966 = V305808 - 1. assign V936331 = V584510. assign V262074 = V410202. assign V456348 = V595539 - 1. assign V005217 = V939533 + 1. assign V546876 = V007638 - 1. assign V145324 = V232767 + 1. assign V371239 = V705981 - 1. assign V162546 = V060793 - 1. assign V156781 = V635245. assign V659155 = V623507. assign V292031 = V162585. assign V759073 = V666406 - 1. assign V934485 = V574434 + 1. assign V802372 = V091561 + 1. assign V060793 = V623507. assign V164707 = V105526 - 1. assign V290675 = V574551 - 1. assign V860572 = V014724. assign V390433 = V084565 + 1. assign V981846 = V466622. assign V192090 = V522918. assign V705981 = V377724 - 1. assign V292379 = V084565. assign V602436 = V084565. assign V105526 = V574434 + 1. assign V171675 = V046631 - 1. assign V694084 = V595539. assign V988146 = V705981 + 1. assign V673716 = 0. assign V152744 = V666406.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V635245 = V574434. assign V932898 = V574434. assign V246459 = V518076 + 1. assign V920287 = V584510 + 1. assign V821332 = V966841. assign V552368 = V105526. assign V623507 = V574434 - 1. assign V381854 = V784442 + 1. assign V536733 = V966841 - 1. assign V714963 = V273678 - 1. assign V321613 = V011566 + 1. assign V265116 = V262295 + 1. assign V195577 = V515832 - 1. assign V672977 = V273678. assign V419425 = V119756 + 1. assign V154537 = V329428 - 1. assign V296031 = V292379. assign V806216 = V292379 + 1. assign V903907 = V705981 + 1. assign V046631 = V162546. assign V280304 = V635245. assign V993989 = V673716. assign V584510 = V149345. assign V466622 = V916061. assign V797970 = V448453 + 1. assign V407751 = V578254 + 1. assign V113256 = V684399 - 1. assign V337592 = V149345. assign V091561 = V574551 + 1. assign V202824 = V303002. assign V162585 = V152744 + 1. assign V303002 = V643049 - 1. assign V990088 = V466622 - 1. assign V970821 = V806216 - 1. assign V145933 = V014724 + 1. assign V518076 = V947573. assign V149345 = V574434 - 1. assign V201643 = V371239 - 1. assign V684399 = V515832 - 1. assign V595539 = V613347 - 1. assign V463392 = V694084. assign V888531 = V407442 - 1. assign V643049 = V390433. assign V232767 = V084565 - 1. assign V784442 = V759073 + 1. assign V939533 = V666406 + 1. assign V193527 = V337592 + 1. assign V591406 = V802372 + 1. assign V262295 = V666406. assign V156115 = V294340. assign V171218 = V807268. assign V506665 = V105526. assign V823767 = V046631. assign V521529 = V007638 - 1. assign V613347 = V496004 + 1. assign V011566 = V105526. assign V410202 = V149345 - 1. assign V574551 = V105526. assign V407442 = V666406 + 1. assign V104388 = V613347 - 1. assign V085563 = V195577. assign V652424 = V581678 + 1. assign V172144 = V509507. assign V051996 = V623507 + 1. assign V074568 = V916061 - 1. assign V776778 = V145324 - 1. assign V578254 = V074568 - 1. assign V908798 = V966841. assign V805120 = V113256. assign V522918 = V989889 - 1. assign V139469 = V989889. assign V294340 = V506665 + 1. assign V662653 = V887694 - 1. assign V294486 = V602436. assign V057127 = V210746. assign V805339 = V084565. assign V515832 = V105526 - 1. assign V869169 = V292379 - 1. assign V099984 = V975243 + 1. assign V807268 = V821332. assign V329428 = V149345. assign V242424 = V989889. assign V150611 = V084565 - 1. assign V302105 = V407442. assign V921675 = V705981. assign V123204 = V877118 + 1. assign V119756 = V578254. assign V591281 = V518076. assign V989889 = V377724. assign V377724 = V727138 - 1. assign V581678 = V989889 - 1. assign V275208 = V602436. assign V007638 = V635245. assign V712609 = V145227. assign V442879 = V145933. assign V273678 = V145227. assign V599557 = V074568 - 1. assign V749350 = V591406 + 1. assign V183429 = V242424. assign V409965 = V456348 - 1. assign V685519 = V506665. assign V666406 = V149345 + 1. assign V197785 = V145933 - 1. assign V305808 = V381854 + 1. assign V887694 = V091561 + 1. assign V084565 = V574434. assign V192322 = V060793. assign V014724 = V888531 + 1. assign V194465 = V377724 - 1. assign V082439 = V060793 - 1. assign V966841 = V337592 + 1. assign V574434 = V916061 + 1. assign V210746 = V091561 - 1. assign V791056 = V419425 + 1. assign V588407 = V659155 + 1. assign V344093 = V145933. assign V243171 = V888531. assign V915817 = V652424. assign V145227 = V515832 + 1. assign V947573 = V150611. assign V123017 = V525366 - 1. assign V241898 = V546876 - 1. assign V525366 = V522918 - 1. assign V305131 = V139469 - 1. assign V893146 = V057127 + 1. assign V797062 = V838718 - 1. assign V907597 = V448453. assign V448453 = V419425 + 1. assign V509507 = V007638 - 1. assign V962730 = V149345 + 1. assign V334509 = V046631. assign V975243 = V920287 - 1. assign V675031 = V183429 + 1. assign V877118 = V759073 + 1. assign V972663 = V536733. assign V838718 = V192322 + 1. assign V496004 = V377724 - 1. assign V727138 = V105526 - 1. assign V537068 = V232767 - 1. assign V400105 = V496004 - 1. assign V669692 = V714963 - 1. assign V968966 = V305808 - 1. assign V936331 = V584510. assign V262074 = V410202. assign V456348 = V595539 - 1. assign V005217 = V939533 + 1. assign V546876 = V007638 - 1. assign V145324 = V232767 + 1. assign V371239 = V705981 - 1. assign V162546 = V060793 - 1. assign V156781 = V635245. assign V659155 = V623507. assign V292031 = V162585. assign V759073 = V666406 - 1. assign V934485 = V574434 + 1. assign V802372 = V091561 + 1. assign V060793 = V623507. assign V164707 = V105526 - 1. assign V290675 = V574551 - 1. assign V860572 = V014724. assign V390433 = V084565 + 1. assign V981846 = V466622. assign V192090 = V522918. assign V705981 = V377724 - 1. assign V292379 = V084565. assign V602436 = V084565. assign V105526 = V574434 + 1. assign V171675 = V046631 - 1. assign V694084 = V595539. assign V988146 = V705981 + 1. assign V673716 = 0. assign V152744 = V666406.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV673716 = 0;\n\nFrom these direct assignment(s), we have: \nV993989 = V673716 = 0;\nNo other variables can be derived from V993989;\nNo other variables can be derived from V673716;\n\nNow we have done all the calculations. Derived variables are:\nV673716 = 0;\nV993989 = 0;\n\nNow we have finished this problem. ANSWER:\nV673716, V993989\n", "role": "assistant" } ]

[ "V629366", "V681329" ]

[ { "content": "<context>\nassign V948363 = V325577. assign V364561 = V926624. assign V360384 = V824364 - 1. assign V834518 = V792018 - 1. assign V611539 = V356181. assign V240910 = V407516. assign V344435 = V808087 + 1. assign V578665 = V295791 + 1. assign V958482 = V275161 - 1. assign V325577 = V467273 - 1. assign V721143 = V879698. assign V738713 = V764955. assign V219533 = V232738 - 1. assign V184945 = V465302 - 1. assign V895312 = V531346 - 1. assign V324046 = V816935 + 1. assign V356181 = V808087 - 1. assign V816935 = V808087 - 1. assign V187694 = V324046. assign V511218 = V959091 - 1. assign V996539 = V816935 + 1. assign V704248 = V550167 + 1. assign V928194 = V822698. assign V820292 = V055734 - 1. assign V271136 = V550167 - 1. assign V643500 = V303353. assign V340853 = V325577. assign V014457 = V271136. assign V531154 = V469870 + 1. assign V550167 = V808087 + 1. assign V183097 = V820664 + 1. assign V811515 = V871351 - 1. assign V787056 = V531154 - 1. assign V107263 = V662975 + 1. assign V824364 = V578772. assign V746020 = V615045 + 1. assign V681329 = V629366. assign V232644 = V698737 - 1. assign V820664 = V232644 + 1. assign V467273 = V211153 + 1. assign V722611 = V550167 + 1. assign V635520 = V187045 + 1. assign V077308 = V290606 + 1. assign V211813 = V232644 + 1. assign V650859 = V893210. assign V738963 = V768978 + 1. assign V338505 = V956006. assign V254004 = V443260 + 1. assign V576697 = V325577 - 1. assign V407516 = V211813 + 1. assign V378247 = V595673 - 1. assign V428905 = V369284 + 1. assign V465302 = V057754. assign V024594 = V595673 + 1. assign V295791 = V521777 - 1. assign V729512 = V322448. assign V531346 = V657495 - 1. assign V169241 = V295791 - 1. assign V180519 = V615045 + 1. assign V317722 = V293935 - 1. assign V516691 = V020778 - 1. assign V792018 = V467273 + 1. assign V443260 = V516691 + 1. assign V767524 = V055734 + 1. assign V641126 = V822698 - 1. assign V926624 = V698737 - 1. assign V097645 = V324046 + 1. assign V380985 = V722611 - 1. assign V311573 = V303353. assign V645816 = V975372. assign V271327 = V322448 - 1. assign V358084 = V356181 + 1. assign V303353 = V811195 + 1. assign V893210 = V531154 + 1. assign V522220 = V187045 + 1. assign V363891 = V411791 - 1. assign V878391 = V149294 - 1. assign V234729 = V531346 + 1. assign V232738 = V834518. assign V975372 = V325577 - 1. assign V057754 = V975372 - 1. assign V442919 = V698737 + 1. assign V628157 = V650561 + 1. assign V530963 = V991351 + 1. assign V689279 = V469870. assign V074491 = V442247 - 1. assign V879698 = V811515 + 1. assign V822698 = V467273 + 1. assign V829714 = V643500 + 1. assign V080582 = V578772 + 1. assign V089385 = V232644 + 1. assign V364866 = V211153 - 1. assign V743068 = V841898 - 1. assign V438185 = V816935 - 1. assign V610693 = V465302. assign V149294 = V467273. assign V698737 = V521777. assign V987685 = V768978. assign V558435 = V811515 + 1. assign V082908 = V324046 - 1. assign V063949 = V521777. assign V956006 = V219533. assign V211153 = V521777 + 1. assign V478168 = V808087. assign V650561 = V808087 + 1. assign V434517 = V521777 - 1. assign V764955 = V550167 + 1. assign V498134 = V698737. assign V667971 = V729512 - 1. assign V333406 = V787056 + 1. assign V282161 = V407516. assign V210762 = V531346 - 1. assign V275161 = V808087 - 1. assign V615045 = V816935 - 1. assign V044433 = V811515 + 1. assign V903505 = V467273 - 1. assign V001864 = V090709. assign V376657 = V063949 + 1. assign V707381 = V275161. assign V469870 = V325577 - 1. assign V411791 = V511218 - 1. assign V991351 = V325577 + 1. assign V662975 = V578772. assign V595793 = V210762 + 1. assign V871351 = V149294. assign V256477 = V187694 - 1. assign V811195 = V442919. assign V293935 = V959091. assign V399443 = V722611 - 1. assign V840344 = V052140 + 1. assign V619913 = V722611. assign V312096 = V082908 + 1. assign V578772 = V811515. assign V096557 = V338505 + 1. assign V592942 = V020778. assign V624011 = V698737 - 1. assign V052140 = V991351 + 1. assign V898793 = V467273 - 1. assign V501062 = V443260 - 1. assign V531137 = V959091 + 1. assign V369284 = V595673 + 1. assign V442247 = V871351 - 1. assign V629366 = 10. assign V651642 = V641126. assign V922471 = V232738 + 1. assign V322448 = V834518 - 1. assign V628951 = V324046 - 1. assign V974676 = V645816. assign V599237 = V084535 - 1. assign V959091 = V956006 - 1. assign V739173 = V738963. assign V090709 = V926624 + 1. assign V768978 = V834518 + 1. assign V055734 = V792018 - 1. assign V841898 = V149294. assign V088662 = V878391. assign V595673 = V467273 + 1. assign V081590 = V824364. assign V084535 = V511218. assign V662144 = V816935. assign V187045 = V407516. assign V290606 = V928194. assign V356514 = V903505 + 1. assign V657495 = V096557. assign V684466 = V052140 - 1. assign V810645 = V438185 + 1. assign V147008 = V643500 - 1. assign V903833 = V254004 - 1. assign V808087 = V521777 + 1. assign V526135 = V893210. assign V739606 = V522220. assign V020778 = V808087.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V948363 = V325577. assign V364561 = V926624. assign V360384 = V824364 - 1. assign V834518 = V792018 - 1. assign V611539 = V356181. assign V240910 = V407516. assign V344435 = V808087 + 1. assign V578665 = V295791 + 1. assign V958482 = V275161 - 1. assign V325577 = V467273 - 1. assign V721143 = V879698. assign V738713 = V764955. assign V219533 = V232738 - 1. assign V184945 = V465302 - 1. assign V895312 = V531346 - 1. assign V324046 = V816935 + 1. assign V356181 = V808087 - 1. assign V816935 = V808087 - 1. assign V187694 = V324046. assign V511218 = V959091 - 1. assign V996539 = V816935 + 1. assign V704248 = V550167 + 1. assign V928194 = V822698. assign V820292 = V055734 - 1. assign V271136 = V550167 - 1. assign V643500 = V303353. assign V340853 = V325577. assign V014457 = V271136. assign V531154 = V469870 + 1. assign V550167 = V808087 + 1. assign V183097 = V820664 + 1. assign V811515 = V871351 - 1. assign V787056 = V531154 - 1. assign V107263 = V662975 + 1. assign V824364 = V578772. assign V746020 = V615045 + 1. assign V681329 = V629366. assign V232644 = V698737 - 1. assign V820664 = V232644 + 1. assign V467273 = V211153 + 1. assign V722611 = V550167 + 1. assign V635520 = V187045 + 1. assign V077308 = V290606 + 1. assign V211813 = V232644 + 1. assign V650859 = V893210. assign V738963 = V768978 + 1. assign V338505 = V956006. assign V254004 = V443260 + 1. assign V576697 = V325577 - 1. assign V407516 = V211813 + 1. assign V378247 = V595673 - 1. assign V428905 = V369284 + 1. assign V465302 = V057754. assign V024594 = V595673 + 1. assign V295791 = V521777 - 1. assign V729512 = V322448. assign V531346 = V657495 - 1. assign V169241 = V295791 - 1. assign V180519 = V615045 + 1. assign V317722 = V293935 - 1. assign V516691 = V020778 - 1. assign V792018 = V467273 + 1. assign V443260 = V516691 + 1. assign V767524 = V055734 + 1. assign V641126 = V822698 - 1. assign V926624 = V698737 - 1. assign V097645 = V324046 + 1. assign V380985 = V722611 - 1. assign V311573 = V303353. assign V645816 = V975372. assign V271327 = V322448 - 1. assign V358084 = V356181 + 1. assign V303353 = V811195 + 1. assign V893210 = V531154 + 1. assign V522220 = V187045 + 1. assign V363891 = V411791 - 1. assign V878391 = V149294 - 1. assign V234729 = V531346 + 1. assign V232738 = V834518. assign V975372 = V325577 - 1. assign V057754 = V975372 - 1. assign V442919 = V698737 + 1. assign V628157 = V650561 + 1. assign V530963 = V991351 + 1. assign V689279 = V469870. assign V074491 = V442247 - 1. assign V879698 = V811515 + 1. assign V822698 = V467273 + 1. assign V829714 = V643500 + 1. assign V080582 = V578772 + 1. assign V089385 = V232644 + 1. assign V364866 = V211153 - 1. assign V743068 = V841898 - 1. assign V438185 = V816935 - 1. assign V610693 = V465302. assign V149294 = V467273. assign V698737 = V521777. assign V987685 = V768978. assign V558435 = V811515 + 1. assign V082908 = V324046 - 1. assign V063949 = V521777. assign V956006 = V219533. assign V211153 = V521777 + 1. assign V478168 = V808087. assign V650561 = V808087 + 1. assign V434517 = V521777 - 1. assign V764955 = V550167 + 1. assign V498134 = V698737. assign V667971 = V729512 - 1. assign V333406 = V787056 + 1. assign V282161 = V407516. assign V210762 = V531346 - 1. assign V275161 = V808087 - 1. assign V615045 = V816935 - 1. assign V044433 = V811515 + 1. assign V903505 = V467273 - 1. assign V001864 = V090709. assign V376657 = V063949 + 1. assign V707381 = V275161. assign V469870 = V325577 - 1. assign V411791 = V511218 - 1. assign V991351 = V325577 + 1. assign V662975 = V578772. assign V595793 = V210762 + 1. assign V871351 = V149294. assign V256477 = V187694 - 1. assign V811195 = V442919. assign V293935 = V959091. assign V399443 = V722611 - 1. assign V840344 = V052140 + 1. assign V619913 = V722611. assign V312096 = V082908 + 1. assign V578772 = V811515. assign V096557 = V338505 + 1. assign V592942 = V020778. assign V624011 = V698737 - 1. assign V052140 = V991351 + 1. assign V898793 = V467273 - 1. assign V501062 = V443260 - 1. assign V531137 = V959091 + 1. assign V369284 = V595673 + 1. assign V442247 = V871351 - 1. assign V629366 = 10. assign V651642 = V641126. assign V922471 = V232738 + 1. assign V322448 = V834518 - 1. assign V628951 = V324046 - 1. assign V974676 = V645816. assign V599237 = V084535 - 1. assign V959091 = V956006 - 1. assign V739173 = V738963. assign V090709 = V926624 + 1. assign V768978 = V834518 + 1. assign V055734 = V792018 - 1. assign V841898 = V149294. assign V088662 = V878391. assign V595673 = V467273 + 1. assign V081590 = V824364. assign V084535 = V511218. assign V662144 = V816935. assign V187045 = V407516. assign V290606 = V928194. assign V356514 = V903505 + 1. assign V657495 = V096557. assign V684466 = V052140 - 1. assign V810645 = V438185 + 1. assign V147008 = V643500 - 1. assign V903833 = V254004 - 1. assign V808087 = V521777 + 1. assign V526135 = V893210. assign V739606 = V522220. assign V020778 = V808087.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV629366 = 10;\n\nFrom these direct assignment(s), we have: \nV681329 = V629366 = 10;\nNo other variables can be derived from V681329;\nNo other variables can be derived from V629366;\n\nNow we have done all the calculations. Derived variables are:\nV629366 = 10;\nV681329 = 10;\n\nNow we have finished this problem. ANSWER:\nV629366, V681329\n", "role": "assistant" } ]

[ "V858690" ]

[ { "content": "<context>\nassign V006669 = V638403 + 1. assign V584205 = V831476. assign V390395 = V774345 + 1. assign V015350 = V429822 + 1. assign V976768 = V978051 + 1. assign V105803 = V740073 + 1. assign V780385 = V864381 - 1. assign V064442 = V158163. assign V406333 = V555760 + 1. assign V169219 = V343330 + 1. assign V026280 = V033696. assign V062797 = V647681 + 1. assign V605145 = V105985. assign V111703 = V032535 - 1. assign V467924 = V656178. assign V362723 = V276959 + 1. assign V140645 = V249366 + 1. assign V254317 = V217822. assign V302181 = V656178. assign V656178 = V626196. assign V587524 = V015350 - 1. assign V782385 = V263073 - 1. assign V459652 = V368651 + 1. assign V994025 = V586362 + 1. assign V580448 = V037152 - 1. assign V755537 = V263073 - 1. assign V262704 = V976768 + 1. assign V143022 = V380053 - 1. assign V821581 = V105985 + 1. assign V768324 = V804871 + 1. assign V963564 = V755876 + 1. assign V210804 = 5. assign V042112 = V037152 - 1. assign V581953 = V175540 + 1. assign V768528 = V581871 + 1. assign V553816 = V070552 - 1. assign V804871 = V532424 - 1. assign V774345 = V580448 + 1. assign V709212 = V020840. assign V006621 = V581871 + 1. assign V264241 = V626196 + 1. assign V317741 = V264241 + 1. assign V792261 = V804871 - 1. assign V138415 = V070552. assign V779556 = V270322 + 1. assign V362134 = V653730 - 1. assign V020840 = V325975. assign V640690 = V199519 - 1. assign V032535 = V740073 - 1. assign V647681 = V037152. assign V683219 = V839888 - 1. assign V105985 = V737096 + 1. assign V851234 = V681030 + 1. assign V451781 = V105985. assign V626196 = V612409. assign V271288 = V699173. assign V474679 = V612409 - 1. assign V890290 = V768528 + 1. assign V037152 = V105985 + 1. assign V158163 = V674915 - 1. assign V193554 = V033696 + 1. assign V831476 = V264241 + 1. assign V951369 = V007393 + 1. assign V368651 = V755876 + 1. assign V886500 = V043558 - 1. assign V766116 = V007393 + 1. assign V935876 = V757202. assign V919708 = V831476 + 1. assign V638403 = V976768. assign V816011 = V677439 - 1. assign V534174 = V105985. assign V924045 = V844207 - 1. assign V270322 = V343330. assign V668116 = V553816 + 1. assign V252113 = V924045 - 1. assign V995949 = V284507 + 1. assign V284507 = V221288 - 1. assign V874340 = V216031 + 1. assign V633748 = V737096 + 1. assign V858690 = V210804 - 1. assign V747854 = V331677. assign V950762 = V516311 - 1. assign V902852 = V284507 + 1. assign V325975 = V270322 + 1. assign V685600 = V639638 + 1. assign V197924 = V581953. assign V755876 = V581871 + 1. assign V007393 = V264241 + 1. assign V263073 = V277647 - 1. assign V070552 = V248867 - 1. assign V420263 = V006621 - 1. assign V864381 = V582684 + 1. assign V582684 = V737096 + 1. assign V263342 = V325975 + 1. assign V249366 = V570440. assign V622867 = V317741. assign V674915 = V831476 + 1. assign V033696 = V264241 - 1. assign V281416 = V656178. assign V995399 = V221288. assign V473322 = V740157 - 1. assign V963398 = V277647 + 1. assign V794010 = V277647. assign V592120 = V645447 + 1. assign V877081 = V612409. assign V244668 = V020840 + 1. assign V483625 = V581871 + 1. assign V645447 = V277647 + 1. assign V452613 = V737096. assign V909307 = V020840. assign V844207 = V924250. assign V502991 = V924250 - 1. assign V612409 = V737096 + 1. assign V656745 = V459652 + 1. assign V276959 = V169219 - 1. assign V666944 = V420263. assign V380053 = V248867 - 1. assign V146134 = V138415. assign V757202 = V839888 - 1. assign V642372 = V674915. assign V217822 = V580448. assign V199519 = V217822 + 1. assign V516311 = V254317 - 1. assign V677439 = V839888 - 1. assign V740157 = V263073 + 1. assign V059208 = V612409. assign V586362 = V580448. assign V273499 = V032535 + 1. assign V175540 = V270322 - 1. assign V653730 = V656178 - 1. assign V839888 = V037152 + 1. assign V043558 = V277647. assign V778050 = V474679. assign V555760 = V677439 + 1. assign V978051 = V270322 - 1. assign V699173 = V555760. assign V924250 = V006621 - 1. assign V007885 = V276959 + 1. assign V230279 = V740073 + 1. assign V179526 = V281416 - 1. assign V293263 = V264241. assign V173562 = V584205 - 1. assign V331677 = V254317. assign V429822 = V978051 + 1. assign V852987 = V263342 - 1. assign V802212 = V976768 + 1. assign V133728 = V037152 + 1. assign V724629 = V534174 + 1. assign V532424 = V737096. assign V425513 = V890290 + 1. assign V454003 = V015350 - 1. assign V581871 = V737096 + 1. assign V681030 = V553816 + 1. assign V248867 = V105985 - 1. assign V625393 = V757202 - 1. assign V343330 = V612409 + 1. assign V317032 = V276959 - 1. assign V740073 = V821581 + 1. assign V473770 = V264241 - 1. assign V277647 = V532424 - 1. assign V662817 = V894891. assign V484178 = V473770 - 1. assign V446697 = V032535. assign V570440 = V584205 + 1. assign V605098 = V874340 + 1. assign V789248 = V626196 - 1. assign V178572 = V037152 + 1. assign V639638 = V581953. assign V216031 = V653730. assign V225848 = V390395 + 1. assign V221288 = V740073 + 1. assign V894891 = V173562 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V006669 = V638403 + 1. assign V584205 = V831476. assign V390395 = V774345 + 1. assign V015350 = V429822 + 1. assign V976768 = V978051 + 1. assign V105803 = V740073 + 1. assign V780385 = V864381 - 1. assign V064442 = V158163. assign V406333 = V555760 + 1. assign V169219 = V343330 + 1. assign V026280 = V033696. assign V062797 = V647681 + 1. assign V605145 = V105985. assign V111703 = V032535 - 1. assign V467924 = V656178. assign V362723 = V276959 + 1. assign V140645 = V249366 + 1. assign V254317 = V217822. assign V302181 = V656178. assign V656178 = V626196. assign V587524 = V015350 - 1. assign V782385 = V263073 - 1. assign V459652 = V368651 + 1. assign V994025 = V586362 + 1. assign V580448 = V037152 - 1. assign V755537 = V263073 - 1. assign V262704 = V976768 + 1. assign V143022 = V380053 - 1. assign V821581 = V105985 + 1. assign V768324 = V804871 + 1. assign V963564 = V755876 + 1. assign V210804 = 5. assign V042112 = V037152 - 1. assign V581953 = V175540 + 1. assign V768528 = V581871 + 1. assign V553816 = V070552 - 1. assign V804871 = V532424 - 1. assign V774345 = V580448 + 1. assign V709212 = V020840. assign V006621 = V581871 + 1. assign V264241 = V626196 + 1. assign V317741 = V264241 + 1. assign V792261 = V804871 - 1. assign V138415 = V070552. assign V779556 = V270322 + 1. assign V362134 = V653730 - 1. assign V020840 = V325975. assign V640690 = V199519 - 1. assign V032535 = V740073 - 1. assign V647681 = V037152. assign V683219 = V839888 - 1. assign V105985 = V737096 + 1. assign V851234 = V681030 + 1. assign V451781 = V105985. assign V626196 = V612409. assign V271288 = V699173. assign V474679 = V612409 - 1. assign V890290 = V768528 + 1. assign V037152 = V105985 + 1. assign V158163 = V674915 - 1. assign V193554 = V033696 + 1. assign V831476 = V264241 + 1. assign V951369 = V007393 + 1. assign V368651 = V755876 + 1. assign V886500 = V043558 - 1. assign V766116 = V007393 + 1. assign V935876 = V757202. assign V919708 = V831476 + 1. assign V638403 = V976768. assign V816011 = V677439 - 1. assign V534174 = V105985. assign V924045 = V844207 - 1. assign V270322 = V343330. assign V668116 = V553816 + 1. assign V252113 = V924045 - 1. assign V995949 = V284507 + 1. assign V284507 = V221288 - 1. assign V874340 = V216031 + 1. assign V633748 = V737096 + 1. assign V858690 = V210804 - 1. assign V747854 = V331677. assign V950762 = V516311 - 1. assign V902852 = V284507 + 1. assign V325975 = V270322 + 1. assign V685600 = V639638 + 1. assign V197924 = V581953. assign V755876 = V581871 + 1. assign V007393 = V264241 + 1. assign V263073 = V277647 - 1. assign V070552 = V248867 - 1. assign V420263 = V006621 - 1. assign V864381 = V582684 + 1. assign V582684 = V737096 + 1. assign V263342 = V325975 + 1. assign V249366 = V570440. assign V622867 = V317741. assign V674915 = V831476 + 1. assign V033696 = V264241 - 1. assign V281416 = V656178. assign V995399 = V221288. assign V473322 = V740157 - 1. assign V963398 = V277647 + 1. assign V794010 = V277647. assign V592120 = V645447 + 1. assign V877081 = V612409. assign V244668 = V020840 + 1. assign V483625 = V581871 + 1. assign V645447 = V277647 + 1. assign V452613 = V737096. assign V909307 = V020840. assign V844207 = V924250. assign V502991 = V924250 - 1. assign V612409 = V737096 + 1. assign V656745 = V459652 + 1. assign V276959 = V169219 - 1. assign V666944 = V420263. assign V380053 = V248867 - 1. assign V146134 = V138415. assign V757202 = V839888 - 1. assign V642372 = V674915. assign V217822 = V580448. assign V199519 = V217822 + 1. assign V516311 = V254317 - 1. assign V677439 = V839888 - 1. assign V740157 = V263073 + 1. assign V059208 = V612409. assign V586362 = V580448. assign V273499 = V032535 + 1. assign V175540 = V270322 - 1. assign V653730 = V656178 - 1. assign V839888 = V037152 + 1. assign V043558 = V277647. assign V778050 = V474679. assign V555760 = V677439 + 1. assign V978051 = V270322 - 1. assign V699173 = V555760. assign V924250 = V006621 - 1. assign V007885 = V276959 + 1. assign V230279 = V740073 + 1. assign V179526 = V281416 - 1. assign V293263 = V264241. assign V173562 = V584205 - 1. assign V331677 = V254317. assign V429822 = V978051 + 1. assign V852987 = V263342 - 1. assign V802212 = V976768 + 1. assign V133728 = V037152 + 1. assign V724629 = V534174 + 1. assign V532424 = V737096. assign V425513 = V890290 + 1. assign V454003 = V015350 - 1. assign V581871 = V737096 + 1. assign V681030 = V553816 + 1. assign V248867 = V105985 - 1. assign V625393 = V757202 - 1. assign V343330 = V612409 + 1. assign V317032 = V276959 - 1. assign V740073 = V821581 + 1. assign V473770 = V264241 - 1. assign V277647 = V532424 - 1. assign V662817 = V894891. assign V484178 = V473770 - 1. assign V446697 = V032535. assign V570440 = V584205 + 1. assign V605098 = V874340 + 1. assign V789248 = V626196 - 1. assign V178572 = V037152 + 1. assign V639638 = V581953. assign V216031 = V653730. assign V225848 = V390395 + 1. assign V221288 = V740073 + 1. assign V894891 = V173562 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV210804 = 5;\n\nFrom these direct assignment(s), we have: \nV858690 = V210804 - 1 = 5 - 1 =4;\nNo other variables can be derived from V858690;\nNo other variables can be derived from V210804;\n\nNow we have done all the calculations. Derived variables are:\nV210804 = 5;\nV858690 = 4;\n\nNow we have finished this problem. ANSWER:\nV858690\n", "role": "assistant" } ]

[ "V513633" ]

[ { "content": "<context>\nassign V325623 = V849813 + 1. assign V290203 = V832277 + 1. assign V638516 = V158666 + 1. assign V547764 = V546530. assign V139566 = V855264 - 1. assign V513633 = V696947 - 1. assign V363663 = V109581 + 1. assign V176841 = V747623 + 1. assign V584963 = V563034. assign V480375 = V058724. assign V970246 = V657402 - 1. assign V420120 = V290203 - 1. assign V494518 = V923362. assign V218621 = V776717 + 1. assign V740307 = V337255. assign V657402 = V177943. assign V992523 = V307643 - 1. assign V085587 = V475156. assign V849813 = V360329 + 1. assign V484995 = V657402 + 1. assign V823726 = V158666. assign V607158 = V292241 + 1. assign V751869 = V923362 + 1. assign V360329 = V158666 + 1. assign V202182 = V855264 + 1. assign V058196 = V688342. assign V253787 = V562851. assign V481160 = V527120 - 1. assign V831394 = V506104. assign V450854 = V177943. assign V682489 = V665391 + 1. assign V582151 = V366323 - 1. assign V104735 = V058724. assign V173031 = V530596 - 1. assign V747623 = V638516. assign V736666 = V158666 - 1. assign V758586 = V235543. assign V172481 = V855264 - 1. assign V269296 = V823726 + 1. assign V194843 = V898786. assign V823355 = V688342 - 1. assign V193016 = V481160 - 1. assign V236408 = V253787. assign V246811 = V360329 - 1. assign V177797 = V290203. assign V601993 = V710028 - 1. assign V177943 = V592577 - 1. assign V117748 = V378041 + 1. assign V217931 = V687731. assign V527120 = V701087. assign V758536 = V484995 + 1. assign V624401 = V177943. assign V688342 = V305971. assign V283530 = V854209 + 1. assign V934856 = V505958. assign V467538 = V623370. assign V058551 = V675918 + 1. assign V946480 = V548523 + 1. assign V366323 = V505958. assign V562851 = V667403 + 1. assign V962745 = V475156 + 1. assign V841031 = V573469 - 1. assign V850929 = V246811 + 1. assign V334380 = V592577 - 1. assign V918955 = V638516 + 1. assign V531550 = V246377 + 1. assign V204054 = V855264. assign V775153 = V776717 + 1. assign V975094 = V144157. assign V819617 = V823355. assign V350423 = V747623 - 1. assign V390854 = V962745. assign V592577 = V855264. assign V687731 = V638516 - 1. assign V109581 = V823726 - 1. assign V910745 = V823726 + 1. assign V880237 = V291685 + 1. assign V719529 = V085587 + 1. assign V776717 = V058196 + 1. assign V546530 = V290203 - 1. assign V665219 = V158666. assign V623370 = V305971 + 1. assign V854209 = V747623 + 1. assign V468985 = V687731. assign V049271 = V775153 + 1. assign V047472 = V548523 - 1. assign V779666 = V085587. assign V592403 = V710028. assign V727115 = V089289 - 1. assign V573469 = V758586. assign V653753 = V881399 + 1. assign V089289 = V085587. assign V526625 = V665391. assign V881399 = V823726 - 1. assign V923362 = V378041 - 1. assign V591782 = V546530. assign V587206 = V758586 + 1. assign V667403 = V505958. assign V421745 = V177943 - 1. assign V411874 = V193016 + 1. assign V506104 = V714901. assign V175641 = V934920 + 1. assign V815288 = V378041 + 1. assign V592846 = V562851 - 1. assign V303716 = V236408 - 1. assign V246377 = V144157 + 1. assign V199901 = V719529 + 1. assign V915080 = V687731. assign V207588 = V360329 - 1. assign V006730 = V849813. assign V773938 = V204054 + 1. assign V517583 = V283530. assign V337255 = V854209. assign V144157 = V823726. assign V934920 = V505958 + 1. assign V300448 = V562851 + 1. assign V776939 = V292241. assign V292241 = V246377 + 1. assign V475156 = V505958. assign V307643 = V776717. assign V505958 = V823726. assign V129889 = V563034 + 1. assign V132078 = V537871 + 1. assign V830511 = V071156 - 1. assign V547997 = V530596 + 1. assign V898786 = V910745 + 1. assign V050714 = V732890 + 1. assign V250642 = V253787 + 1. assign V209092 = V849813. assign V291685 = V280174 + 1. assign V280174 = V058196 - 1. assign V058724 = V776717. assign V536409 = V624401 - 1. assign V665391 = V667403 + 1. assign V568792 = V624401 + 1. assign V206937 = V881399 - 1. assign V732890 = V280174. assign V530596 = V235543 + 1. assign V491463 = V450854. assign V421556 = V269296. assign V586139 = V665219 + 1. assign V237635 = V305971. assign V331424 = V235543 - 1. assign V754232 = V089289. assign V683678 = V158666 + 1. assign V855264 = V688342. assign V378041 = V688342. assign V696947 = 7. assign V231115 = V085587. assign V058013 = V719529. assign V563034 = V823726. assign V420012 = V665391 - 1. assign V675918 = V624401 + 1. assign V235543 = V505958. assign V300327 = V898786 - 1. assign V714901 = V475156 + 1. assign V000260 = V481160 - 1. assign V374082 = V047472 + 1. assign V894538 = V758586 - 1. assign V622797 = V563034. assign V071156 = V832277 - 1. assign V537871 = V305971 - 1. assign V548523 = V360329 + 1. assign V298182 = V292241 - 1. assign V832277 = V562851. assign V305971 = V667403. assign V798124 = V421745 - 1. assign V114234 = V193016 - 1. assign V955008 = V776717 + 1. assign V833899 = V058196 + 1. assign V701087 = V638516 + 1. assign V710028 = V841031 + 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 V325623 = V849813 + 1. assign V290203 = V832277 + 1. assign V638516 = V158666 + 1. assign V547764 = V546530. assign V139566 = V855264 - 1. assign V513633 = V696947 - 1. assign V363663 = V109581 + 1. assign V176841 = V747623 + 1. assign V584963 = V563034. assign V480375 = V058724. assign V970246 = V657402 - 1. assign V420120 = V290203 - 1. assign V494518 = V923362. assign V218621 = V776717 + 1. assign V740307 = V337255. assign V657402 = V177943. assign V992523 = V307643 - 1. assign V085587 = V475156. assign V849813 = V360329 + 1. assign V484995 = V657402 + 1. assign V823726 = V158666. assign V607158 = V292241 + 1. assign V751869 = V923362 + 1. assign V360329 = V158666 + 1. assign V202182 = V855264 + 1. assign V058196 = V688342. assign V253787 = V562851. assign V481160 = V527120 - 1. assign V831394 = V506104. assign V450854 = V177943. assign V682489 = V665391 + 1. assign V582151 = V366323 - 1. assign V104735 = V058724. assign V173031 = V530596 - 1. assign V747623 = V638516. assign V736666 = V158666 - 1. assign V758586 = V235543. assign V172481 = V855264 - 1. assign V269296 = V823726 + 1. assign V194843 = V898786. assign V823355 = V688342 - 1. assign V193016 = V481160 - 1. assign V236408 = V253787. assign V246811 = V360329 - 1. assign V177797 = V290203. assign V601993 = V710028 - 1. assign V177943 = V592577 - 1. assign V117748 = V378041 + 1. assign V217931 = V687731. assign V527120 = V701087. assign V758536 = V484995 + 1. assign V624401 = V177943. assign V688342 = V305971. assign V283530 = V854209 + 1. assign V934856 = V505958. assign V467538 = V623370. assign V058551 = V675918 + 1. assign V946480 = V548523 + 1. assign V366323 = V505958. assign V562851 = V667403 + 1. assign V962745 = V475156 + 1. assign V841031 = V573469 - 1. assign V850929 = V246811 + 1. assign V334380 = V592577 - 1. assign V918955 = V638516 + 1. assign V531550 = V246377 + 1. assign V204054 = V855264. assign V775153 = V776717 + 1. assign V975094 = V144157. assign V819617 = V823355. assign V350423 = V747623 - 1. assign V390854 = V962745. assign V592577 = V855264. assign V687731 = V638516 - 1. assign V109581 = V823726 - 1. assign V910745 = V823726 + 1. assign V880237 = V291685 + 1. assign V719529 = V085587 + 1. assign V776717 = V058196 + 1. assign V546530 = V290203 - 1. assign V665219 = V158666. assign V623370 = V305971 + 1. assign V854209 = V747623 + 1. assign V468985 = V687731. assign V049271 = V775153 + 1. assign V047472 = V548523 - 1. assign V779666 = V085587. assign V592403 = V710028. assign V727115 = V089289 - 1. assign V573469 = V758586. assign V653753 = V881399 + 1. assign V089289 = V085587. assign V526625 = V665391. assign V881399 = V823726 - 1. assign V923362 = V378041 - 1. assign V591782 = V546530. assign V587206 = V758586 + 1. assign V667403 = V505958. assign V421745 = V177943 - 1. assign V411874 = V193016 + 1. assign V506104 = V714901. assign V175641 = V934920 + 1. assign V815288 = V378041 + 1. assign V592846 = V562851 - 1. assign V303716 = V236408 - 1. assign V246377 = V144157 + 1. assign V199901 = V719529 + 1. assign V915080 = V687731. assign V207588 = V360329 - 1. assign V006730 = V849813. assign V773938 = V204054 + 1. assign V517583 = V283530. assign V337255 = V854209. assign V144157 = V823726. assign V934920 = V505958 + 1. assign V300448 = V562851 + 1. assign V776939 = V292241. assign V292241 = V246377 + 1. assign V475156 = V505958. assign V307643 = V776717. assign V505958 = V823726. assign V129889 = V563034 + 1. assign V132078 = V537871 + 1. assign V830511 = V071156 - 1. assign V547997 = V530596 + 1. assign V898786 = V910745 + 1. assign V050714 = V732890 + 1. assign V250642 = V253787 + 1. assign V209092 = V849813. assign V291685 = V280174 + 1. assign V280174 = V058196 - 1. assign V058724 = V776717. assign V536409 = V624401 - 1. assign V665391 = V667403 + 1. assign V568792 = V624401 + 1. assign V206937 = V881399 - 1. assign V732890 = V280174. assign V530596 = V235543 + 1. assign V491463 = V450854. assign V421556 = V269296. assign V586139 = V665219 + 1. assign V237635 = V305971. assign V331424 = V235543 - 1. assign V754232 = V089289. assign V683678 = V158666 + 1. assign V855264 = V688342. assign V378041 = V688342. assign V696947 = 7. assign V231115 = V085587. assign V058013 = V719529. assign V563034 = V823726. assign V420012 = V665391 - 1. assign V675918 = V624401 + 1. assign V235543 = V505958. assign V300327 = V898786 - 1. assign V714901 = V475156 + 1. assign V000260 = V481160 - 1. assign V374082 = V047472 + 1. assign V894538 = V758586 - 1. assign V622797 = V563034. assign V071156 = V832277 - 1. assign V537871 = V305971 - 1. assign V548523 = V360329 + 1. assign V298182 = V292241 - 1. assign V832277 = V562851. assign V305971 = V667403. assign V798124 = V421745 - 1. assign V114234 = V193016 - 1. assign V955008 = V776717 + 1. assign V833899 = V058196 + 1. assign V701087 = V638516 + 1. assign V710028 = V841031 + 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):\nV696947 = 7;\n\nFrom these direct assignment(s), we have: \nV513633 = V696947 - 1 = 7 - 1 =6;\nNo other variables can be derived from V513633;\nNo other variables can be derived from V696947;\n\nNow we have done all the calculations. Derived variables are:\nV696947 = 7;\nV513633 = 6;\n\nNow we have finished this problem. ANSWER:\nV513633\n", "role": "assistant" } ]

[ "V818914", "V631472" ]

[ { "content": "<context>\nassign V932895 = V546440. assign V730286 = V875103 - 1. assign V474495 = V036525 - 1. assign V947706 = V771093 - 1. assign V894981 = V016418 + 1. assign V398299 = V905827 - 1. assign V694239 = V834455 - 1. assign V933503 = V398299. assign V282592 = V692122 - 1. assign V407827 = V326955 + 1. assign V544604 = V326955 - 1. assign V339123 = V835754 - 1. assign V523115 = V691903 + 1. assign V533474 = V807277. assign V835754 = V691326 - 1. assign V333356 = V691903 + 1. assign V040130 = V546440. assign V726948 = V350559. assign V807277 = V842397 - 1. assign V838363 = V211779. assign V417352 = V726948 + 1. assign V602829 = V287900. assign V857377 = V980516 - 1. assign V464231 = V749563 + 1. assign V697542 = V520010 - 1. assign V842397 = V393168 + 1. assign V473900 = V726948 + 1. assign V214012 = V218855 + 1. assign V753162 = V932895 + 1. assign V976975 = V980516. assign V128400 = V507010 + 1. assign V060015 = V947706. assign V640829 = V807277 + 1. assign V685987 = V439574. assign V659563 = V142106 + 1. assign V015675 = V350559. assign V463445 = V189237 - 1. assign V239824 = V653726. assign V283909 = V142106 + 1. assign V189237 = V976975 + 1. assign V461071 = V251741. assign V867176 = V753981 + 1. assign V015905 = V222142 + 1. assign V391264 = V189237. assign V580375 = V015905. assign V749563 = V520010 + 1. assign V706506 = V015675. assign V821735 = V842397 + 1. assign V095587 = V520010 - 1. assign V802496 = V867176 + 1. assign V443600 = V142106 + 1. assign V168734 = V398299 + 1. assign V840609 = V525626 - 1. assign V204938 = V869763 + 1. assign V517353 = V696859 + 1. assign V514950 = V544604. assign V631472 = V818914. assign V875103 = V015905 - 1. assign V311243 = V651412 + 1. assign V005629 = V520010 + 1. assign V869763 = V287900 + 1. assign V392845 = V364389 - 1. assign V593929 = V753162 - 1. assign V619552 = V654427 - 1. assign V666779 = V251741 - 1. assign V327148 = V653726 + 1. assign V565833 = V461071 - 1. assign V339156 = V417621 + 1. assign V270134 = V251741 + 1. assign V558301 = V124256. assign V696859 = V222142 - 1. assign V036525 = V040130 + 1. assign V040387 = V917414 - 1. assign V290624 = V622961 + 1. assign V016418 = V251741 - 1. assign V916922 = V665060. assign V978384 = V350559. assign V136829 = V523115 - 1. assign V222142 = V139330 + 1. assign V753981 = V691326. assign V439574 = V917414 + 1. assign V692122 = V325148. assign V520010 = V869763 + 1. assign V034892 = V725246 - 1. assign V942692 = V691326 - 1. assign V228489 = V040387 + 1. assign V691903 = V932895 + 1. assign V357001 = V821735 + 1. assign V791007 = V270134. assign V725246 = V771093 - 1. assign V980516 = V546440. assign V350559 = V525626 - 1. assign V579178 = V865960. assign V654427 = V015675. assign V666290 = V619552. assign V311862 = V251741 - 1. assign V393168 = V546440 + 1. assign V746691 = V523115. assign V364389 = V691326 - 1. assign V127976 = V139330. assign V941431 = V622961 + 1. assign V044564 = V222142 + 1. assign V139330 = V015675 - 1. assign V911177 = V651412. assign V541407 = V906790. assign V544719 = V593689 - 1. assign V288453 = V696859 + 1. assign V622961 = V507010 - 1. assign V109460 = V691903. assign V335158 = V311243 - 1. assign V771093 = V659563 + 1. assign V580563 = V917414 - 1. assign V859465 = V060015 - 1. assign V735204 = V189237 - 1. assign V025763 = V139330 + 1. assign V834455 = V980516. assign V326955 = V211779 - 1. assign V211665 = V461071 + 1. assign V059491 = V251741 - 1. assign V917414 = V025763 + 1. assign V936917 = V665060. assign V525626 = V546440 + 1. assign V379360 = V869763 + 1. assign V181189 = V325148. assign V818914 = 2. assign V124256 = V290624. assign V251741 = V546440 - 1. assign V000598 = V016418 + 1. assign V111189 = V463445 - 1. assign V211779 = V257379. assign V593689 = V222142 - 1. assign V527607 = V726948. assign V145544 = V980516. assign V806440 = V189237 - 1. assign V218855 = V746691 - 1. assign V906747 = V473900 + 1. assign V665060 = V189237. assign V477681 = V838363. assign V222965 = V016418 - 1. assign V865960 = V251741 - 1. assign V691326 = V976975. assign V916057 = V015675. assign V651412 = V025763. assign V744346 = V339123 - 1. assign V325148 = V691326 - 1. assign V924737 = V700072 + 1. assign V240301 = V527607 + 1. assign V811914 = V726948. assign V415280 = V257379 + 1. assign V417621 = V602829 - 1. assign V630202 = V025763 + 1. assign V038465 = V034892. assign V307750 = V771093 - 1. assign V781322 = V142106 + 1. assign V727302 = V602829 - 1. assign V507010 = V771093. assign V777187 = V417621 + 1. assign V653726 = V287900 - 1. assign V645215 = V865960 - 1. assign V905827 = V407827. assign V700072 = V473900 - 1. assign V287900 = V666779 + 1. assign V257379 = V546440 - 1. assign V429190 = V834455 + 1. assign V118767 = V257379 - 1. assign V253789 = V781322 + 1. assign V906790 = V429190 - 1. assign V142106 = V546440 - 1. assign V718385 = V463445 - 1. assign V048134 = V391264 - 1. assign V291805 = V391264 + 1. assign V758795 = V706506 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V932895 = V546440. assign V730286 = V875103 - 1. assign V474495 = V036525 - 1. assign V947706 = V771093 - 1. assign V894981 = V016418 + 1. assign V398299 = V905827 - 1. assign V694239 = V834455 - 1. assign V933503 = V398299. assign V282592 = V692122 - 1. assign V407827 = V326955 + 1. assign V544604 = V326955 - 1. assign V339123 = V835754 - 1. assign V523115 = V691903 + 1. assign V533474 = V807277. assign V835754 = V691326 - 1. assign V333356 = V691903 + 1. assign V040130 = V546440. assign V726948 = V350559. assign V807277 = V842397 - 1. assign V838363 = V211779. assign V417352 = V726948 + 1. assign V602829 = V287900. assign V857377 = V980516 - 1. assign V464231 = V749563 + 1. assign V697542 = V520010 - 1. assign V842397 = V393168 + 1. assign V473900 = V726948 + 1. assign V214012 = V218855 + 1. assign V753162 = V932895 + 1. assign V976975 = V980516. assign V128400 = V507010 + 1. assign V060015 = V947706. assign V640829 = V807277 + 1. assign V685987 = V439574. assign V659563 = V142106 + 1. assign V015675 = V350559. assign V463445 = V189237 - 1. assign V239824 = V653726. assign V283909 = V142106 + 1. assign V189237 = V976975 + 1. assign V461071 = V251741. assign V867176 = V753981 + 1. assign V015905 = V222142 + 1. assign V391264 = V189237. assign V580375 = V015905. assign V749563 = V520010 + 1. assign V706506 = V015675. assign V821735 = V842397 + 1. assign V095587 = V520010 - 1. assign V802496 = V867176 + 1. assign V443600 = V142106 + 1. assign V168734 = V398299 + 1. assign V840609 = V525626 - 1. assign V204938 = V869763 + 1. assign V517353 = V696859 + 1. assign V514950 = V544604. assign V631472 = V818914. assign V875103 = V015905 - 1. assign V311243 = V651412 + 1. assign V005629 = V520010 + 1. assign V869763 = V287900 + 1. assign V392845 = V364389 - 1. assign V593929 = V753162 - 1. assign V619552 = V654427 - 1. assign V666779 = V251741 - 1. assign V327148 = V653726 + 1. assign V565833 = V461071 - 1. assign V339156 = V417621 + 1. assign V270134 = V251741 + 1. assign V558301 = V124256. assign V696859 = V222142 - 1. assign V036525 = V040130 + 1. assign V040387 = V917414 - 1. assign V290624 = V622961 + 1. assign V016418 = V251741 - 1. assign V916922 = V665060. assign V978384 = V350559. assign V136829 = V523115 - 1. assign V222142 = V139330 + 1. assign V753981 = V691326. assign V439574 = V917414 + 1. assign V692122 = V325148. assign V520010 = V869763 + 1. assign V034892 = V725246 - 1. assign V942692 = V691326 - 1. assign V228489 = V040387 + 1. assign V691903 = V932895 + 1. assign V357001 = V821735 + 1. assign V791007 = V270134. assign V725246 = V771093 - 1. assign V980516 = V546440. assign V350559 = V525626 - 1. assign V579178 = V865960. assign V654427 = V015675. assign V666290 = V619552. assign V311862 = V251741 - 1. assign V393168 = V546440 + 1. assign V746691 = V523115. assign V364389 = V691326 - 1. assign V127976 = V139330. assign V941431 = V622961 + 1. assign V044564 = V222142 + 1. assign V139330 = V015675 - 1. assign V911177 = V651412. assign V541407 = V906790. assign V544719 = V593689 - 1. assign V288453 = V696859 + 1. assign V622961 = V507010 - 1. assign V109460 = V691903. assign V335158 = V311243 - 1. assign V771093 = V659563 + 1. assign V580563 = V917414 - 1. assign V859465 = V060015 - 1. assign V735204 = V189237 - 1. assign V025763 = V139330 + 1. assign V834455 = V980516. assign V326955 = V211779 - 1. assign V211665 = V461071 + 1. assign V059491 = V251741 - 1. assign V917414 = V025763 + 1. assign V936917 = V665060. assign V525626 = V546440 + 1. assign V379360 = V869763 + 1. assign V181189 = V325148. assign V818914 = 2. assign V124256 = V290624. assign V251741 = V546440 - 1. assign V000598 = V016418 + 1. assign V111189 = V463445 - 1. assign V211779 = V257379. assign V593689 = V222142 - 1. assign V527607 = V726948. assign V145544 = V980516. assign V806440 = V189237 - 1. assign V218855 = V746691 - 1. assign V906747 = V473900 + 1. assign V665060 = V189237. assign V477681 = V838363. assign V222965 = V016418 - 1. assign V865960 = V251741 - 1. assign V691326 = V976975. assign V916057 = V015675. assign V651412 = V025763. assign V744346 = V339123 - 1. assign V325148 = V691326 - 1. assign V924737 = V700072 + 1. assign V240301 = V527607 + 1. assign V811914 = V726948. assign V415280 = V257379 + 1. assign V417621 = V602829 - 1. assign V630202 = V025763 + 1. assign V038465 = V034892. assign V307750 = V771093 - 1. assign V781322 = V142106 + 1. assign V727302 = V602829 - 1. assign V507010 = V771093. assign V777187 = V417621 + 1. assign V653726 = V287900 - 1. assign V645215 = V865960 - 1. assign V905827 = V407827. assign V700072 = V473900 - 1. assign V287900 = V666779 + 1. assign V257379 = V546440 - 1. assign V429190 = V834455 + 1. assign V118767 = V257379 - 1. assign V253789 = V781322 + 1. assign V906790 = V429190 - 1. assign V142106 = V546440 - 1. assign V718385 = V463445 - 1. assign V048134 = V391264 - 1. assign V291805 = V391264 + 1. assign V758795 = V706506 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 2.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV818914 = 2;\n\nFrom these direct assignment(s), we have: \nV631472 = V818914 = 2;\nNo other variables can be derived from V631472;\nNo other variables can be derived from V818914;\n\nNow we have done all the calculations. Derived variables are:\nV818914 = 2;\nV631472 = 2;\n\nNow we have finished this problem. ANSWER:\nV818914, V631472\n", "role": "assistant" } ]

[ "V298849", "V582245" ]

[ { "content": "<context>\nassign V074012 = V640961. assign V909624 = V107231. assign V751369 = V197023. assign V644344 = V214381 - 1. assign V640961 = V706269. assign V214617 = V288357. assign V948546 = V837506. assign V399016 = V501706 - 1. assign V737707 = V640961 + 1. assign V134384 = V814531. assign V211364 = V679802 + 1. assign V298849 = 4. assign V385916 = V288478 + 1. assign V901832 = V810916 - 1. assign V288478 = V706269 - 1. assign V385473 = V385916 + 1. assign V250182 = V943975. assign V145294 = V166097 - 1. assign V582245 = V298849. assign V357659 = V810916 - 1. assign V988199 = V615891. assign V161141 = V052201 + 1. assign V403368 = V166097 - 1. assign V627178 = V314897 - 1. assign V018363 = V145294 - 1. assign V440101 = V542407 + 1. assign V556494 = V963768 + 1. assign V314897 = V438419 + 1. assign V650099 = V018363 - 1. assign V574864 = V751369. assign V918366 = V684489 + 1. assign V668947 = V684489 + 1. assign V949703 = V837506 + 1. assign V251164 = V267365. assign V205820 = V501706 + 1. assign V939204 = V856665. assign V241684 = V239954 - 1. assign V474410 = V814531 + 1. assign V996277 = V056025. assign V174811 = V837506 - 1. assign V438419 = V433154 + 1. assign V173186 = V627178 - 1. assign V792306 = V166097. assign V822488 = V474410 + 1. assign V652370 = V875029 - 1. assign V624020 = V810916 - 1. assign V733979 = V320432 - 1. assign V484449 = V357659 + 1. assign V543140 = V227377. assign V908655 = V357659. assign V676911 = V474410. assign V515152 = V737707 + 1. assign V212674 = V706269 - 1. assign V936891 = V148990. assign V960067 = V304383 - 1. assign V691664 = V856665. assign V918957 = V989322 - 1. assign V679189 = V174811 - 1. assign V884023 = V960089 + 1. assign V994110 = V679802 - 1. assign V943975 = V737707 + 1. assign V438420 = V751369. assign V528567 = V346804 - 1. assign V856665 = V096729. assign V395318 = V452297 - 1. assign V794231 = V816279 + 1. assign V461784 = V056025. assign V041308 = V901832 - 1. assign V172317 = V214617 + 1. assign V503430 = V056026. assign V930791 = V856665. assign V304383 = V733979 - 1. assign V050064 = V816279 - 1. assign V091028 = V288357 + 1. assign V268455 = V799102 - 1. assign V718592 = V028068 + 1. assign V129513 = V283007 + 1. assign V475563 = V340435 + 1. assign V875029 = V503447 + 1. assign V841400 = V205820 - 1. assign V989322 = V357659. assign V699899 = V708272 - 1. assign V227377 = V751369 - 1. assign V197023 = V684489. assign V320432 = V007755 + 1. assign V705087 = V729375 + 1. assign V809858 = V542407 - 1. assign V452297 = V684489. assign V096729 = V357659 + 1. assign V503447 = V107231 + 1. assign V684489 = V007755. assign V432197 = V553068. assign V702653 = V028068 - 1. assign V166097 = V901832 - 1. assign V052201 = V357659 - 1. assign V514380 = V205820 - 1. assign V615891 = V810916 - 1. assign V220557 = V134384 + 1. assign V706269 = V816279 + 1. assign V502942 = V214381 + 1. assign V756501 = V360316 + 1. assign V542407 = V096729 + 1. assign V816279 = V679802 + 1. assign V156444 = V268455 + 1. assign V445163 = V799102 - 1. assign V267365 = V837506. assign V004264 = V810916 + 1. assign V222099 = V837506. assign V991221 = V503430. assign V501706 = V288478. assign V708272 = V542407. assign V028068 = V096729 + 1. assign V007755 = V810916 - 1. assign V107231 = V007755 + 1. assign V368553 = V074012. assign V913646 = V107231 - 1. assign V239954 = V943975 + 1. assign V147714 = V756501 + 1. assign V057858 = V989322 + 1. assign V188285 = V543140. assign V346804 = V320432. assign V821114 = V214381 + 1. assign V963768 = V197023 - 1. assign V318943 = V854791. assign V080765 = V717894. assign V616326 = V205820 - 1. assign V678720 = V550140. assign V550140 = V829919 + 1. assign V340435 = V074012. assign V934369 = V491228. assign V081030 = V474410. assign V665909 = V385916 + 1. assign V433154 = V474410 - 1. assign V854791 = V624020 + 1. assign V837506 = V440101. assign V056026 = V837506 - 1. assign V510707 = V214617 - 1. assign V386470 = V096729 + 1. assign V978873 = V004264 + 1. assign V360316 = V007755 + 1. assign V056025 = V702653. assign V019361 = V174811 - 1. assign V881049 = V028068. assign V274932 = V640961. assign V166464 = V438419 + 1. assign V737187 = V930791 - 1. assign V283007 = V007755 + 1. assign V491228 = V949703. assign V588674 = V665909 + 1. assign V814531 = V205820 + 1. assign V729375 = V056026 + 1. assign V455439 = V205820 + 1. assign V553068 = V368553. assign V549131 = V074012. assign V799102 = V679802 + 1. assign V401982 = V074012 - 1. assign V122176 = V644344. assign V236744 = V385916. assign V829919 = V250182 + 1. assign V661944 = V856665. assign V214381 = V007755. assign V080285 = V856665 - 1. assign V199976 = V274932 - 1. assign V288357 = V810916. assign V148990 = V810916 + 1. assign V679802 = V357659 - 1. assign V960089 = V733979 + 1. assign V920360 = V107231 - 1. assign V601366 = V809858 - 1. assign V717894 = V096729. assign V687521 = V574864. assign V205351 = V161141 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V074012 = V640961. assign V909624 = V107231. assign V751369 = V197023. assign V644344 = V214381 - 1. assign V640961 = V706269. assign V214617 = V288357. assign V948546 = V837506. assign V399016 = V501706 - 1. assign V737707 = V640961 + 1. assign V134384 = V814531. assign V211364 = V679802 + 1. assign V298849 = 4. assign V385916 = V288478 + 1. assign V901832 = V810916 - 1. assign V288478 = V706269 - 1. assign V385473 = V385916 + 1. assign V250182 = V943975. assign V145294 = V166097 - 1. assign V582245 = V298849. assign V357659 = V810916 - 1. assign V988199 = V615891. assign V161141 = V052201 + 1. assign V403368 = V166097 - 1. assign V627178 = V314897 - 1. assign V018363 = V145294 - 1. assign V440101 = V542407 + 1. assign V556494 = V963768 + 1. assign V314897 = V438419 + 1. assign V650099 = V018363 - 1. assign V574864 = V751369. assign V918366 = V684489 + 1. assign V668947 = V684489 + 1. assign V949703 = V837506 + 1. assign V251164 = V267365. assign V205820 = V501706 + 1. assign V939204 = V856665. assign V241684 = V239954 - 1. assign V474410 = V814531 + 1. assign V996277 = V056025. assign V174811 = V837506 - 1. assign V438419 = V433154 + 1. assign V173186 = V627178 - 1. assign V792306 = V166097. assign V822488 = V474410 + 1. assign V652370 = V875029 - 1. assign V624020 = V810916 - 1. assign V733979 = V320432 - 1. assign V484449 = V357659 + 1. assign V543140 = V227377. assign V908655 = V357659. assign V676911 = V474410. assign V515152 = V737707 + 1. assign V212674 = V706269 - 1. assign V936891 = V148990. assign V960067 = V304383 - 1. assign V691664 = V856665. assign V918957 = V989322 - 1. assign V679189 = V174811 - 1. assign V884023 = V960089 + 1. assign V994110 = V679802 - 1. assign V943975 = V737707 + 1. assign V438420 = V751369. assign V528567 = V346804 - 1. assign V856665 = V096729. assign V395318 = V452297 - 1. assign V794231 = V816279 + 1. assign V461784 = V056025. assign V041308 = V901832 - 1. assign V172317 = V214617 + 1. assign V503430 = V056026. assign V930791 = V856665. assign V304383 = V733979 - 1. assign V050064 = V816279 - 1. assign V091028 = V288357 + 1. assign V268455 = V799102 - 1. assign V718592 = V028068 + 1. assign V129513 = V283007 + 1. assign V475563 = V340435 + 1. assign V875029 = V503447 + 1. assign V841400 = V205820 - 1. assign V989322 = V357659. assign V699899 = V708272 - 1. assign V227377 = V751369 - 1. assign V197023 = V684489. assign V320432 = V007755 + 1. assign V705087 = V729375 + 1. assign V809858 = V542407 - 1. assign V452297 = V684489. assign V096729 = V357659 + 1. assign V503447 = V107231 + 1. assign V684489 = V007755. assign V432197 = V553068. assign V702653 = V028068 - 1. assign V166097 = V901832 - 1. assign V052201 = V357659 - 1. assign V514380 = V205820 - 1. assign V615891 = V810916 - 1. assign V220557 = V134384 + 1. assign V706269 = V816279 + 1. assign V502942 = V214381 + 1. assign V756501 = V360316 + 1. assign V542407 = V096729 + 1. assign V816279 = V679802 + 1. assign V156444 = V268455 + 1. assign V445163 = V799102 - 1. assign V267365 = V837506. assign V004264 = V810916 + 1. assign V222099 = V837506. assign V991221 = V503430. assign V501706 = V288478. assign V708272 = V542407. assign V028068 = V096729 + 1. assign V007755 = V810916 - 1. assign V107231 = V007755 + 1. assign V368553 = V074012. assign V913646 = V107231 - 1. assign V239954 = V943975 + 1. assign V147714 = V756501 + 1. assign V057858 = V989322 + 1. assign V188285 = V543140. assign V346804 = V320432. assign V821114 = V214381 + 1. assign V963768 = V197023 - 1. assign V318943 = V854791. assign V080765 = V717894. assign V616326 = V205820 - 1. assign V678720 = V550140. assign V550140 = V829919 + 1. assign V340435 = V074012. assign V934369 = V491228. assign V081030 = V474410. assign V665909 = V385916 + 1. assign V433154 = V474410 - 1. assign V854791 = V624020 + 1. assign V837506 = V440101. assign V056026 = V837506 - 1. assign V510707 = V214617 - 1. assign V386470 = V096729 + 1. assign V978873 = V004264 + 1. assign V360316 = V007755 + 1. assign V056025 = V702653. assign V019361 = V174811 - 1. assign V881049 = V028068. assign V274932 = V640961. assign V166464 = V438419 + 1. assign V737187 = V930791 - 1. assign V283007 = V007755 + 1. assign V491228 = V949703. assign V588674 = V665909 + 1. assign V814531 = V205820 + 1. assign V729375 = V056026 + 1. assign V455439 = V205820 + 1. assign V553068 = V368553. assign V549131 = V074012. assign V799102 = V679802 + 1. assign V401982 = V074012 - 1. assign V122176 = V644344. assign V236744 = V385916. assign V829919 = V250182 + 1. assign V661944 = V856665. assign V214381 = V007755. assign V080285 = V856665 - 1. assign V199976 = V274932 - 1. assign V288357 = V810916. assign V148990 = V810916 + 1. assign V679802 = V357659 - 1. assign V960089 = V733979 + 1. assign V920360 = V107231 - 1. assign V601366 = V809858 - 1. assign V717894 = V096729. assign V687521 = V574864. assign V205351 = V161141 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV298849 = 4;\n\nFrom these direct assignment(s), we have: \nV582245 = V298849 = 4;\nNo other variables can be derived from V582245;\nNo other variables can be derived from V298849;\n\nNow we have done all the calculations. Derived variables are:\nV298849 = 4;\nV582245 = 4;\n\nNow we have finished this problem. ANSWER:\nV298849, V582245\n", "role": "assistant" } ]

[ "V280390" ]

[ { "content": "<context>\nassign V058075 = V785792. assign V849817 = V748666. assign V785792 = V602046 + 1. assign V647269 = V469003 + 1. assign V885635 = V737694 + 1. assign V918820 = V231419. assign V957922 = V321726 + 1. assign V877905 = V951988. assign V280390 = V337135 + 1. assign V775278 = V287895. assign V696264 = V320783. assign V942229 = V336285 - 1. assign V496847 = V108665. assign V728632 = V643845 - 1. assign V472617 = V936641. assign V382864 = V951988. assign V034575 = V789090. assign V213034 = V948349. assign V884601 = V572368 + 1. assign V331439 = V936641. assign V532993 = V369665 - 1. assign V053592 = V213034 + 1. assign V961261 = V175537 - 1. assign V683299 = V571263 + 1. assign V320644 = V165281 - 1. assign V781198 = V472617. assign V139378 = V619526 - 1. assign V325097 = V887607. assign V619526 = V321726 + 1. assign V416374 = V343712. assign V572368 = V165281. assign V602046 = V571263 - 1. assign V206498 = V728632. assign V649270 = V231419. assign V120820 = V287895 - 1. assign V004181 = V572368 - 1. assign V948349 = V165281 + 1. assign V960005 = V948349. assign V709160 = V961261. assign V812471 = V114437 + 1. assign V834878 = V571263 - 1. assign V947488 = V323221. assign V672653 = V165281. assign V275260 = V287895 + 1. assign V571263 = V280406 + 1. assign V300882 = V480399 + 1. assign V729911 = V321726. assign V563727 = V910359 + 1. assign V783936 = V785792 - 1. assign V379517 = V139378 + 1. assign V922873 = V877905 + 1. assign V708619 = V748666 - 1. assign V438474 = V572368 - 1. assign V643845 = V280406 - 1. assign V166367 = V487816 - 1. assign V881430 = V922873. assign V343712 = V940352. assign V462135 = V343712. assign V148994 = V277505 - 1. assign V826152 = V231419 + 1. assign V809065 = V642391 + 1. assign V231419 = V602046. assign V366880 = V957922. assign V940352 = V277505 - 1. assign V835100 = V508110 + 1. assign V114437 = V480679 - 1. assign V263021 = V070585 + 1. assign V867960 = V611946 + 1. assign V809586 = V948349. assign V201296 = V268045. assign V784946 = V809586. assign V130154 = V661171 + 1. assign V271265 = V407115 + 1. assign V369665 = V563727 + 1. assign V388687 = V320783 + 1. assign V574185 = V350615 - 1. assign V993638 = V472617. assign V585508 = V366880 - 1. assign V564795 = V546455. assign V321726 = V977923 - 1. assign V936641 = V287895 - 1. assign V745536 = V661171. assign V715774 = V745536 + 1. assign V885816 = V957922 - 1. assign V500126 = V834878 + 1. assign V925721 = V571263. assign V408047 = V961261. assign V123230 = V661171. assign V662548 = V471249 - 1. assign V958116 = V977923 - 1. assign V337135 = 9. assign V816434 = V961261 - 1. assign V480679 = V910359. assign V781501 = V368946 - 1. assign V648988 = V271265 + 1. assign V070585 = V508110 + 1. assign V407115 = V382864. assign V494705 = V948349. assign V190407 = V602046 - 1. assign V755643 = V368946 + 1. assign V368946 = V643845 + 1. assign V642478 = V951988. assign V889700 = V910359. assign V192164 = V471249. assign V480399 = V977923 + 1. assign V490262 = V643554 - 1. assign V571532 = V268045 + 1. assign V320783 = V321726 + 1. assign V675710 = V175537 + 1. assign V194116 = V884601. assign V643554 = V572368 - 1. assign V737694 = V494705 + 1. assign V522234 = V571263. assign V917843 = V070585 + 1. assign V546455 = V643554 - 1. assign V065653 = V961261. assign V789090 = V120820 - 1. assign V336285 = V058075 + 1. assign V977923 = V280406 - 1. assign V389667 = V936641 - 1. assign V329979 = V350615 - 1. assign V990887 = V130154 - 1. assign V669090 = V775278 + 1. assign V287895 = V977923 + 1. assign V108665 = V715774 + 1. assign V661171 = V748666. assign V611946 = V775278. assign V165281 = V280406. assign V892148 = V571263. assign V951988 = V748666 + 1. assign V782872 = V320783. assign V277505 = V887607 - 1. assign V908837 = V175537. assign V323221 = V960005 + 1. assign V590392 = V565024 - 1. assign V098096 = V642391 + 1. assign V748666 = V280406 + 1. assign V509118 = V407115 + 1. assign V903947 = V130154 - 1. assign V072838 = V500126 + 1. assign V084835 = V642391. assign V659825 = V098096 - 1. assign V696908 = V389667 - 1. assign V520020 = V565024. assign V350615 = V775278 + 1. assign V471249 = V835100. assign V815018 = V748666 - 1. assign V985007 = V948349 + 1. assign V530848 = V812471 + 1. assign V469003 = V480399 - 1. assign V642391 = V877905. assign V496234 = V509118 - 1. assign V508110 = V748666 + 1. assign V277167 = V910359 + 1. assign V092564 = V661171 - 1. assign V754048 = V130154 + 1. assign V198768 = V885635. assign V565024 = V708619. assign V388549 = V139378 - 1. assign V019387 = V572368 - 1. assign V268045 = V728632 - 1. assign V791314 = V661171 + 1. assign V887607 = V321726 + 1. assign V464497 = V407115 - 1. assign V958813 = V957922 + 1. assign V392009 = V235976 + 1. assign V572605 = V120820. assign V910359 = V948349 - 1. assign V175537 = V472617 + 1. assign V235976 = V985007. assign V487816 = V369665 + 1. assign V228168 = V382864 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V058075 = V785792. assign V849817 = V748666. assign V785792 = V602046 + 1. assign V647269 = V469003 + 1. assign V885635 = V737694 + 1. assign V918820 = V231419. assign V957922 = V321726 + 1. assign V877905 = V951988. assign V280390 = V337135 + 1. assign V775278 = V287895. assign V696264 = V320783. assign V942229 = V336285 - 1. assign V496847 = V108665. assign V728632 = V643845 - 1. assign V472617 = V936641. assign V382864 = V951988. assign V034575 = V789090. assign V213034 = V948349. assign V884601 = V572368 + 1. assign V331439 = V936641. assign V532993 = V369665 - 1. assign V053592 = V213034 + 1. assign V961261 = V175537 - 1. assign V683299 = V571263 + 1. assign V320644 = V165281 - 1. assign V781198 = V472617. assign V139378 = V619526 - 1. assign V325097 = V887607. assign V619526 = V321726 + 1. assign V416374 = V343712. assign V572368 = V165281. assign V602046 = V571263 - 1. assign V206498 = V728632. assign V649270 = V231419. assign V120820 = V287895 - 1. assign V004181 = V572368 - 1. assign V948349 = V165281 + 1. assign V960005 = V948349. assign V709160 = V961261. assign V812471 = V114437 + 1. assign V834878 = V571263 - 1. assign V947488 = V323221. assign V672653 = V165281. assign V275260 = V287895 + 1. assign V571263 = V280406 + 1. assign V300882 = V480399 + 1. assign V729911 = V321726. assign V563727 = V910359 + 1. assign V783936 = V785792 - 1. assign V379517 = V139378 + 1. assign V922873 = V877905 + 1. assign V708619 = V748666 - 1. assign V438474 = V572368 - 1. assign V643845 = V280406 - 1. assign V166367 = V487816 - 1. assign V881430 = V922873. assign V343712 = V940352. assign V462135 = V343712. assign V148994 = V277505 - 1. assign V826152 = V231419 + 1. assign V809065 = V642391 + 1. assign V231419 = V602046. assign V366880 = V957922. assign V940352 = V277505 - 1. assign V835100 = V508110 + 1. assign V114437 = V480679 - 1. assign V263021 = V070585 + 1. assign V867960 = V611946 + 1. assign V809586 = V948349. assign V201296 = V268045. assign V784946 = V809586. assign V130154 = V661171 + 1. assign V271265 = V407115 + 1. assign V369665 = V563727 + 1. assign V388687 = V320783 + 1. assign V574185 = V350615 - 1. assign V993638 = V472617. assign V585508 = V366880 - 1. assign V564795 = V546455. assign V321726 = V977923 - 1. assign V936641 = V287895 - 1. assign V745536 = V661171. assign V715774 = V745536 + 1. assign V885816 = V957922 - 1. assign V500126 = V834878 + 1. assign V925721 = V571263. assign V408047 = V961261. assign V123230 = V661171. assign V662548 = V471249 - 1. assign V958116 = V977923 - 1. assign V337135 = 9. assign V816434 = V961261 - 1. assign V480679 = V910359. assign V781501 = V368946 - 1. assign V648988 = V271265 + 1. assign V070585 = V508110 + 1. assign V407115 = V382864. assign V494705 = V948349. assign V190407 = V602046 - 1. assign V755643 = V368946 + 1. assign V368946 = V643845 + 1. assign V642478 = V951988. assign V889700 = V910359. assign V192164 = V471249. assign V480399 = V977923 + 1. assign V490262 = V643554 - 1. assign V571532 = V268045 + 1. assign V320783 = V321726 + 1. assign V675710 = V175537 + 1. assign V194116 = V884601. assign V643554 = V572368 - 1. assign V737694 = V494705 + 1. assign V522234 = V571263. assign V917843 = V070585 + 1. assign V546455 = V643554 - 1. assign V065653 = V961261. assign V789090 = V120820 - 1. assign V336285 = V058075 + 1. assign V977923 = V280406 - 1. assign V389667 = V936641 - 1. assign V329979 = V350615 - 1. assign V990887 = V130154 - 1. assign V669090 = V775278 + 1. assign V287895 = V977923 + 1. assign V108665 = V715774 + 1. assign V661171 = V748666. assign V611946 = V775278. assign V165281 = V280406. assign V892148 = V571263. assign V951988 = V748666 + 1. assign V782872 = V320783. assign V277505 = V887607 - 1. assign V908837 = V175537. assign V323221 = V960005 + 1. assign V590392 = V565024 - 1. assign V098096 = V642391 + 1. assign V748666 = V280406 + 1. assign V509118 = V407115 + 1. assign V903947 = V130154 - 1. assign V072838 = V500126 + 1. assign V084835 = V642391. assign V659825 = V098096 - 1. assign V696908 = V389667 - 1. assign V520020 = V565024. assign V350615 = V775278 + 1. assign V471249 = V835100. assign V815018 = V748666 - 1. assign V985007 = V948349 + 1. assign V530848 = V812471 + 1. assign V469003 = V480399 - 1. assign V642391 = V877905. assign V496234 = V509118 - 1. assign V508110 = V748666 + 1. assign V277167 = V910359 + 1. assign V092564 = V661171 - 1. assign V754048 = V130154 + 1. assign V198768 = V885635. assign V565024 = V708619. assign V388549 = V139378 - 1. assign V019387 = V572368 - 1. assign V268045 = V728632 - 1. assign V791314 = V661171 + 1. assign V887607 = V321726 + 1. assign V464497 = V407115 - 1. assign V958813 = V957922 + 1. assign V392009 = V235976 + 1. assign V572605 = V120820. assign V910359 = V948349 - 1. assign V175537 = V472617 + 1. assign V235976 = V985007. assign V487816 = V369665 + 1. assign V228168 = V382864 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV337135 = 9;\n\nFrom these direct assignment(s), we have: \nV280390 = V337135 + 1 = 9 + 1 =10;\nNo other variables can be derived from V280390;\nNo other variables can be derived from V337135;\n\nNow we have done all the calculations. Derived variables are:\nV337135 = 9;\nV280390 = 10;\n\nNow we have finished this problem. ANSWER:\nV280390\n", "role": "assistant" } ]

[ "V387066" ]

[ { "content": "<context>\nassign V468652 = V186535 - 1. assign V959049 = V180732. assign V661819 = V976521 + 1. assign V373090 = V957480 - 1. assign V777078 = V654082. assign V474680 = V976310 - 1. assign V259825 = V045385. assign V165967 = V904995 + 1. assign V625604 = V170750 - 1. assign V979157 = V011877. assign V600340 = V165967 - 1. assign V849218 = V625604 + 1. assign V819525 = V976176. assign V687534 = V685817 - 1. assign V308932 = V333402 - 1. assign V455129 = V207472. assign V963961 = V661819. assign V581431 = V732093 + 1. assign V388839 = V348260 - 1. assign V416445 = V132208. assign V280715 = V060031 + 1. assign V918814 = V136266. assign V840468 = V333402 + 1. assign V620966 = V904995 - 1. assign V015691 = V838168 - 1. assign V945638 = V976521. assign V143709 = V023796. assign V789699 = V685817 + 1. assign V399651 = V581431 + 1. assign V797391 = V372249. assign V806883 = V274102. assign V387066 = 9. assign V586452 = V280715 + 1. assign V995677 = V904995 - 1. assign V489635 = V904995 - 1. assign V984599 = V333402. assign V022263 = V119348. assign V062658 = V838168 - 1. assign V700068 = V976310. assign V851189 = V338460 + 1. assign V023796 = V976521. assign V147668 = V620966 - 1. assign V724639 = V561922 + 1. assign V486084 = V333402 + 1. assign V830925 = V527991 - 1. assign V715802 = V914032. assign V654082 = V181912 - 1. assign V517667 = V979157 + 1. assign V293236 = V474680 - 1. assign V950983 = V527991 - 1. assign V657736 = V685817 - 1. assign V181912 = V601364 - 1. assign V562372 = V077706 - 1. assign V437233 = V976521 - 1. assign V915097 = V945638. assign V847603 = V269177. assign V756543 = V437233 - 1. assign V223760 = V945638. assign V165784 = V181912 - 1. assign V722099 = V819525 + 1. assign V976176 = V620966 + 1. assign V948388 = V976521 + 1. assign V528304 = V274102 + 1. assign V991063 = V474680 + 1. assign V104698 = V974822. assign V914032 = V756543 - 1. assign V173909 = V399651 + 1. assign V695544 = V350835. assign V180732 = V976521 + 1. assign V665479 = V620966 + 1. assign V471477 = V186535 - 1. assign V536261 = V797391. assign V935791 = V724639. assign V132498 = V974822. assign V377245 = V165967. assign V854486 = V170750. assign V601364 = V308932 + 1. assign V274102 = V437233. assign V139710 = V756543. assign V815466 = V015691. assign V326539 = V742143 + 1. assign V111360 = V333402 - 1. assign V060031 = V915097 + 1. assign V431834 = V308932 - 1. assign V069525 = V333383 + 1. assign V799719 = V259825. assign V361789 = V601364 + 1. assign V739672 = V600340 + 1. assign V128545 = V361789 - 1. assign V142961 = V620966 - 1. assign V955155 = V620966 + 1. assign V243253 = V739672 + 1. assign V838168 = V915097. assign V588701 = V657736. assign V348260 = V333402 - 1. assign V742143 = V381878 - 1. assign V480858 = V945638 + 1. assign V637427 = V528304 + 1. assign V992243 = V806883 - 1. assign V685817 = V377245. assign V157601 = V060031 + 1. assign V177806 = V062658 - 1. assign V278709 = V486084 + 1. assign V266286 = V207472. assign V338460 = V588701 + 1. assign V672083 = V060031. assign V346486 = V361789 + 1. assign V453118 = V992243. assign V142452 = V959049 - 1. assign V381878 = V661819 + 1. assign V436439 = V945638 - 1. assign V170750 = V661819 - 1. assign V119348 = V976310. assign V527991 = V976521 + 1. assign V272723 = V527991 - 1. assign V891099 = V333402 + 1. assign V284409 = V274102 - 1. assign V110552 = V806883 + 1. assign V011877 = V838168. assign V813359 = V950983 + 1. assign V397015 = V854486 + 1. assign V004911 = V955155. assign V146765 = V847603 - 1. assign V372249 = V661819. assign V334579 = V474680. assign V897005 = V217389 - 1. assign V561922 = V207472. assign V967512 = V945638. assign V760742 = V489635 + 1. assign V236714 = V119348 + 1. assign V132208 = V035289 - 1. assign V210828 = V139710. assign V077706 = V486084 - 1. assign V541665 = V361789 - 1. assign V957480 = V979157 - 1. assign V493334 = V984599 + 1. assign V974822 = V015691 + 1. assign V136266 = V274102 + 1. assign V732093 = V891099 + 1. assign V320153 = V387066 - 1. assign V093596 = V243253. assign V010727 = V687534. assign V217389 = V077706. assign V186535 = V976521 + 1. assign V758181 = V139710 + 1. assign V333402 = V527991 + 1. assign V035289 = V165967 - 1. assign V904995 = V527991 + 1. assign V643947 = V915097. assign V045385 = V377245. assign V749953 = V011877 + 1. assign V175574 = V204754 - 1. assign V374568 = V992243 - 1. assign V448548 = V035289 - 1. assign V252406 = V377245. assign V269177 = V486084 + 1. assign V204754 = V992243. assign V350835 = V974822. assign V222979 = V758181 + 1. assign V669128 = V665479 + 1. assign V311714 = V165967 + 1. assign V790350 = V984599 - 1. assign V976310 = V838168 - 1. assign V983242 = V756543 + 1. assign V957198 = V977855 - 1. assign V554764 = V204754. assign V083796 = V293236 + 1. assign V977855 = V665479. assign V876391 = V991063 + 1. assign V207472 = V274102 + 1. assign V767250 = V143709 - 1. assign V333383 = V838168 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V468652 = V186535 - 1. assign V959049 = V180732. assign V661819 = V976521 + 1. assign V373090 = V957480 - 1. assign V777078 = V654082. assign V474680 = V976310 - 1. assign V259825 = V045385. assign V165967 = V904995 + 1. assign V625604 = V170750 - 1. assign V979157 = V011877. assign V600340 = V165967 - 1. assign V849218 = V625604 + 1. assign V819525 = V976176. assign V687534 = V685817 - 1. assign V308932 = V333402 - 1. assign V455129 = V207472. assign V963961 = V661819. assign V581431 = V732093 + 1. assign V388839 = V348260 - 1. assign V416445 = V132208. assign V280715 = V060031 + 1. assign V918814 = V136266. assign V840468 = V333402 + 1. assign V620966 = V904995 - 1. assign V015691 = V838168 - 1. assign V945638 = V976521. assign V143709 = V023796. assign V789699 = V685817 + 1. assign V399651 = V581431 + 1. assign V797391 = V372249. assign V806883 = V274102. assign V387066 = 9. assign V586452 = V280715 + 1. assign V995677 = V904995 - 1. assign V489635 = V904995 - 1. assign V984599 = V333402. assign V022263 = V119348. assign V062658 = V838168 - 1. assign V700068 = V976310. assign V851189 = V338460 + 1. assign V023796 = V976521. assign V147668 = V620966 - 1. assign V724639 = V561922 + 1. assign V486084 = V333402 + 1. assign V830925 = V527991 - 1. assign V715802 = V914032. assign V654082 = V181912 - 1. assign V517667 = V979157 + 1. assign V293236 = V474680 - 1. assign V950983 = V527991 - 1. assign V657736 = V685817 - 1. assign V181912 = V601364 - 1. assign V562372 = V077706 - 1. assign V437233 = V976521 - 1. assign V915097 = V945638. assign V847603 = V269177. assign V756543 = V437233 - 1. assign V223760 = V945638. assign V165784 = V181912 - 1. assign V722099 = V819525 + 1. assign V976176 = V620966 + 1. assign V948388 = V976521 + 1. assign V528304 = V274102 + 1. assign V991063 = V474680 + 1. assign V104698 = V974822. assign V914032 = V756543 - 1. assign V173909 = V399651 + 1. assign V695544 = V350835. assign V180732 = V976521 + 1. assign V665479 = V620966 + 1. assign V471477 = V186535 - 1. assign V536261 = V797391. assign V935791 = V724639. assign V132498 = V974822. assign V377245 = V165967. assign V854486 = V170750. assign V601364 = V308932 + 1. assign V274102 = V437233. assign V139710 = V756543. assign V815466 = V015691. assign V326539 = V742143 + 1. assign V111360 = V333402 - 1. assign V060031 = V915097 + 1. assign V431834 = V308932 - 1. assign V069525 = V333383 + 1. assign V799719 = V259825. assign V361789 = V601364 + 1. assign V739672 = V600340 + 1. assign V128545 = V361789 - 1. assign V142961 = V620966 - 1. assign V955155 = V620966 + 1. assign V243253 = V739672 + 1. assign V838168 = V915097. assign V588701 = V657736. assign V348260 = V333402 - 1. assign V742143 = V381878 - 1. assign V480858 = V945638 + 1. assign V637427 = V528304 + 1. assign V992243 = V806883 - 1. assign V685817 = V377245. assign V157601 = V060031 + 1. assign V177806 = V062658 - 1. assign V278709 = V486084 + 1. assign V266286 = V207472. assign V338460 = V588701 + 1. assign V672083 = V060031. assign V346486 = V361789 + 1. assign V453118 = V992243. assign V142452 = V959049 - 1. assign V381878 = V661819 + 1. assign V436439 = V945638 - 1. assign V170750 = V661819 - 1. assign V119348 = V976310. assign V527991 = V976521 + 1. assign V272723 = V527991 - 1. assign V891099 = V333402 + 1. assign V284409 = V274102 - 1. assign V110552 = V806883 + 1. assign V011877 = V838168. assign V813359 = V950983 + 1. assign V397015 = V854486 + 1. assign V004911 = V955155. assign V146765 = V847603 - 1. assign V372249 = V661819. assign V334579 = V474680. assign V897005 = V217389 - 1. assign V561922 = V207472. assign V967512 = V945638. assign V760742 = V489635 + 1. assign V236714 = V119348 + 1. assign V132208 = V035289 - 1. assign V210828 = V139710. assign V077706 = V486084 - 1. assign V541665 = V361789 - 1. assign V957480 = V979157 - 1. assign V493334 = V984599 + 1. assign V974822 = V015691 + 1. assign V136266 = V274102 + 1. assign V732093 = V891099 + 1. assign V320153 = V387066 - 1. assign V093596 = V243253. assign V010727 = V687534. assign V217389 = V077706. assign V186535 = V976521 + 1. assign V758181 = V139710 + 1. assign V333402 = V527991 + 1. assign V035289 = V165967 - 1. assign V904995 = V527991 + 1. assign V643947 = V915097. assign V045385 = V377245. assign V749953 = V011877 + 1. assign V175574 = V204754 - 1. assign V374568 = V992243 - 1. assign V448548 = V035289 - 1. assign V252406 = V377245. assign V269177 = V486084 + 1. assign V204754 = V992243. assign V350835 = V974822. assign V222979 = V758181 + 1. assign V669128 = V665479 + 1. assign V311714 = V165967 + 1. assign V790350 = V984599 - 1. assign V976310 = V838168 - 1. assign V983242 = V756543 + 1. assign V957198 = V977855 - 1. assign V554764 = V204754. assign V083796 = V293236 + 1. assign V977855 = V665479. assign V876391 = V991063 + 1. assign V207472 = V274102 + 1. assign V767250 = V143709 - 1. assign V333383 = V838168 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV387066 = 9;\n\nFrom these direct assignment(s), we have: \nV320153 = V387066 - 1 = 9 - 1 =8;\nNo other variables can be derived from V320153;\nNo other variables can be derived from V387066;\n\nNow we have done all the calculations. Derived variables are:\nV387066 = 9;\nV320153 = 8;\n\nNow we have finished this problem. ANSWER:\nV387066\n", "role": "assistant" } ]

[ "V088912", "V007691" ]

[ { "content": "<context>\nassign V163920 = V431338. assign V510853 = V359649. assign V133176 = V742657 + 1. assign V013941 = V402161. assign V780144 = V299207. assign V594812 = V698715. assign V949443 = V921624 - 1. assign V518433 = V076619 - 1. assign V385462 = V203639 + 1. assign V228783 = V855811. assign V459110 = V685795 - 1. assign V902749 = V493209 + 1. assign V763615 = V647018 - 1. assign V737678 = V203639 - 1. assign V451162 = V081633 + 1. assign V924175 = V756895 + 1. assign V801765 = V872729. assign V130051 = V089561 + 1. assign V156082 = V132817. assign V787237 = V890980 - 1. assign V299207 = V702022 + 1. assign V631957 = V203639. assign V923918 = V141717. assign V971741 = V953746 - 1. assign V900570 = V332441 + 1. assign V668752 = V994284 + 1. assign V742657 = V119062 - 1. assign V110628 = V742657 + 1. assign V867934 = V251784 - 1. assign V856163 = V156082 - 1. assign V428170 = V332441 + 1. assign V088542 = V804759. assign V427411 = V793404 - 1. assign V137252 = V440104 - 1. assign V127967 = V353556 + 1. assign V007825 = V453266. assign V153584 = V093449 + 1. assign V062730 = V683551 + 1. assign V346476 = V477921 + 1. assign V698715 = V076619 - 1. assign V731315 = V115520. assign V657893 = V329298. assign V379212 = V683551. assign V721659 = V156082 - 1. assign V716167 = V110628 + 1. assign V872729 = V683551. assign V402161 = V872729. assign V431338 = V167585 - 1. assign V697005 = V685795 + 1. assign V774911 = V167585 - 1. assign V477921 = V013941 - 1. assign V141012 = V141717 + 1. assign V907025 = V133176 - 1. assign V966052 = V081633 - 1. assign V041115 = V742657. assign V141717 = V329755 + 1. assign V130559 = V798327. assign V923167 = V459110 - 1. assign V185732 = V459110 - 1. assign V584400 = V685795 - 1. assign V095990 = V966052. assign V292440 = V093449 + 1. assign V606642 = V241522 - 1. assign V065097 = V606642. assign V616880 = V431338. assign V127051 = V756895 - 1. assign V420278 = V971741. assign V205546 = V787237 + 1. assign V440104 = V062730. assign V805798 = V331676. assign V914388 = V763615 - 1. assign V953746 = V453266 - 1. assign V747504 = V668752. assign V517825 = V017607 + 1. assign V977634 = V251784. assign V498314 = V685795 + 1. assign V481139 = V685795 + 1. assign V890980 = V481139. assign V234848 = V949443 + 1. assign V406894 = V405936. assign V892047 = V110628 + 1. assign V857245 = V696142. assign V453664 = V872729 + 1. assign V331819 = V721659 + 1. assign V081633 = V842041 + 1. assign V647018 = V023726 - 1. assign V097616 = V110628 + 1. assign V088912 = 4. assign V683551 = V453266. assign V007691 = V088912. assign V182667 = V996480 + 1. assign V724096 = V696142 + 1. assign V577743 = V949443 + 1. assign V115520 = V584400. assign V585268 = V625633 - 1. assign V842041 = V110628 - 1. assign V468266 = V273633. assign V167585 = V459110. assign V329298 = V137252 - 1. assign V385368 = V115520 - 1. assign V257750 = V097616 + 1. assign V538613 = V696142 - 1. assign V921624 = V132817 + 1. assign V251784 = V742657 + 1. assign V081119 = V431338 - 1. assign V241522 = V344003 + 1. assign V975640 = V089561. assign V017607 = V405936 + 1. assign V022745 = V923167 + 1. assign V203639 = V742657. assign V332441 = V685795 + 1. assign V361659 = V763600 - 1. assign V403605 = V041115. assign V136228 = V007825 + 1. assign V855811 = V697953 + 1. assign V119062 = V459110. assign V023726 = V119062. assign V804759 = V169065. assign V331676 = V743395 + 1. assign V702022 = V743395 + 1. assign V654338 = V110628 + 1. assign V132817 = V459110 - 1. assign V991972 = V427411 - 1. assign V353556 = V041115 - 1. assign V089561 = V167585 - 1. assign V697953 = V654338 - 1. assign V116993 = V994284. assign V191580 = V890980. assign V000701 = V493209 - 1. assign V358331 = V697953. assign V173794 = V702022 + 1. assign V453266 = V742657. assign V588399 = V668752 + 1. assign V994284 = V742657 + 1. assign V581699 = V774911 + 1. assign V354419 = V498314. assign V551734 = V115520 + 1. assign V405936 = V081633 + 1. assign V076619 = V251784. assign V996480 = V329755 - 1. assign V798327 = V121697 + 1. assign V418678 = V405936 - 1. assign V743395 = V115520 - 1. assign V493209 = V453266 + 1. assign V903444 = V481139. assign V014923 = V774911 + 1. assign V966045 = V742657 + 1. assign V121697 = V344003. assign V372272 = V683551 - 1. assign V839102 = V620593. assign V991704 = V493209. assign V642403 = V372272 + 1. assign V309831 = V332441. assign V329755 = V696142 - 1. assign V651047 = V923167 - 1. assign V696142 = V742657 - 1. assign V344003 = V453266 - 1. assign V768744 = V459110. assign V784764 = V581699 + 1. assign V935121 = V121697 - 1. assign V756895 = V329755. assign V395082 = V163920 - 1. assign V763600 = V481139 - 1. assign V793404 = V013941. assign V231998 = V331676. assign V359649 = V007825 + 1. assign V205200 = V538613. assign V620593 = V698715 - 1. assign V093449 = V774911 + 1. assign V273633 = V654338 - 1. assign V625633 = V991972 - 1. assign V169065 = V081633 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V163920 = V431338. assign V510853 = V359649. assign V133176 = V742657 + 1. assign V013941 = V402161. assign V780144 = V299207. assign V594812 = V698715. assign V949443 = V921624 - 1. assign V518433 = V076619 - 1. assign V385462 = V203639 + 1. assign V228783 = V855811. assign V459110 = V685795 - 1. assign V902749 = V493209 + 1. assign V763615 = V647018 - 1. assign V737678 = V203639 - 1. assign V451162 = V081633 + 1. assign V924175 = V756895 + 1. assign V801765 = V872729. assign V130051 = V089561 + 1. assign V156082 = V132817. assign V787237 = V890980 - 1. assign V299207 = V702022 + 1. assign V631957 = V203639. assign V923918 = V141717. assign V971741 = V953746 - 1. assign V900570 = V332441 + 1. assign V668752 = V994284 + 1. assign V742657 = V119062 - 1. assign V110628 = V742657 + 1. assign V867934 = V251784 - 1. assign V856163 = V156082 - 1. assign V428170 = V332441 + 1. assign V088542 = V804759. assign V427411 = V793404 - 1. assign V137252 = V440104 - 1. assign V127967 = V353556 + 1. assign V007825 = V453266. assign V153584 = V093449 + 1. assign V062730 = V683551 + 1. assign V346476 = V477921 + 1. assign V698715 = V076619 - 1. assign V731315 = V115520. assign V657893 = V329298. assign V379212 = V683551. assign V721659 = V156082 - 1. assign V716167 = V110628 + 1. assign V872729 = V683551. assign V402161 = V872729. assign V431338 = V167585 - 1. assign V697005 = V685795 + 1. assign V774911 = V167585 - 1. assign V477921 = V013941 - 1. assign V141012 = V141717 + 1. assign V907025 = V133176 - 1. assign V966052 = V081633 - 1. assign V041115 = V742657. assign V141717 = V329755 + 1. assign V130559 = V798327. assign V923167 = V459110 - 1. assign V185732 = V459110 - 1. assign V584400 = V685795 - 1. assign V095990 = V966052. assign V292440 = V093449 + 1. assign V606642 = V241522 - 1. assign V065097 = V606642. assign V616880 = V431338. assign V127051 = V756895 - 1. assign V420278 = V971741. assign V205546 = V787237 + 1. assign V440104 = V062730. assign V805798 = V331676. assign V914388 = V763615 - 1. assign V953746 = V453266 - 1. assign V747504 = V668752. assign V517825 = V017607 + 1. assign V977634 = V251784. assign V498314 = V685795 + 1. assign V481139 = V685795 + 1. assign V890980 = V481139. assign V234848 = V949443 + 1. assign V406894 = V405936. assign V892047 = V110628 + 1. assign V857245 = V696142. assign V453664 = V872729 + 1. assign V331819 = V721659 + 1. assign V081633 = V842041 + 1. assign V647018 = V023726 - 1. assign V097616 = V110628 + 1. assign V088912 = 4. assign V683551 = V453266. assign V007691 = V088912. assign V182667 = V996480 + 1. assign V724096 = V696142 + 1. assign V577743 = V949443 + 1. assign V115520 = V584400. assign V585268 = V625633 - 1. assign V842041 = V110628 - 1. assign V468266 = V273633. assign V167585 = V459110. assign V329298 = V137252 - 1. assign V385368 = V115520 - 1. assign V257750 = V097616 + 1. assign V538613 = V696142 - 1. assign V921624 = V132817 + 1. assign V251784 = V742657 + 1. assign V081119 = V431338 - 1. assign V241522 = V344003 + 1. assign V975640 = V089561. assign V017607 = V405936 + 1. assign V022745 = V923167 + 1. assign V203639 = V742657. assign V332441 = V685795 + 1. assign V361659 = V763600 - 1. assign V403605 = V041115. assign V136228 = V007825 + 1. assign V855811 = V697953 + 1. assign V119062 = V459110. assign V023726 = V119062. assign V804759 = V169065. assign V331676 = V743395 + 1. assign V702022 = V743395 + 1. assign V654338 = V110628 + 1. assign V132817 = V459110 - 1. assign V991972 = V427411 - 1. assign V353556 = V041115 - 1. assign V089561 = V167585 - 1. assign V697953 = V654338 - 1. assign V116993 = V994284. assign V191580 = V890980. assign V000701 = V493209 - 1. assign V358331 = V697953. assign V173794 = V702022 + 1. assign V453266 = V742657. assign V588399 = V668752 + 1. assign V994284 = V742657 + 1. assign V581699 = V774911 + 1. assign V354419 = V498314. assign V551734 = V115520 + 1. assign V405936 = V081633 + 1. assign V076619 = V251784. assign V996480 = V329755 - 1. assign V798327 = V121697 + 1. assign V418678 = V405936 - 1. assign V743395 = V115520 - 1. assign V493209 = V453266 + 1. assign V903444 = V481139. assign V014923 = V774911 + 1. assign V966045 = V742657 + 1. assign V121697 = V344003. assign V372272 = V683551 - 1. assign V839102 = V620593. assign V991704 = V493209. assign V642403 = V372272 + 1. assign V309831 = V332441. assign V329755 = V696142 - 1. assign V651047 = V923167 - 1. assign V696142 = V742657 - 1. assign V344003 = V453266 - 1. assign V768744 = V459110. assign V784764 = V581699 + 1. assign V935121 = V121697 - 1. assign V756895 = V329755. assign V395082 = V163920 - 1. assign V763600 = V481139 - 1. assign V793404 = V013941. assign V231998 = V331676. assign V359649 = V007825 + 1. assign V205200 = V538613. assign V620593 = V698715 - 1. assign V093449 = V774911 + 1. assign V273633 = V654338 - 1. assign V625633 = V991972 - 1. assign V169065 = V081633 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV088912 = 4;\n\nFrom these direct assignment(s), we have: \nV007691 = V088912 = 4;\nNo other variables can be derived from V007691;\nNo other variables can be derived from V088912;\n\nNow we have done all the calculations. Derived variables are:\nV088912 = 4;\nV007691 = 4;\n\nNow we have finished this problem. ANSWER:\nV088912, V007691\n", "role": "assistant" } ]

[ "V164756", "V806967" ]

[ { "content": "<context>\nassign V877895 = V429260 + 1. assign V604904 = V414140. assign V613665 = V931439 + 1. assign V444247 = V337925 + 1. assign V160608 = V540887. assign V998168 = V754015 + 1. assign V494861 = V962291 + 1. assign V665733 = V889530. assign V164756 = 9. assign V753280 = V126100 - 1. assign V409784 = V198963. assign V565442 = V405996 - 1. assign V459638 = V233584. assign V337925 = V125555. assign V542749 = V918543 - 1. assign V835170 = V900472. assign V652665 = V777514 + 1. assign V322579 = V653804 + 1. assign V973311 = V409784 - 1. assign V264524 = V304326 + 1. assign V146300 = V688190. assign V889530 = V777514. assign V712676 = V082068 + 1. assign V870253 = V459638 + 1. assign V703771 = V881143. assign V586683 = V777514. assign V385662 = V429898 + 1. assign V837277 = V672219 + 1. assign V901483 = V754015. assign V824361 = V539304. assign V795903 = V233354 + 1. assign V799869 = V569427 + 1. assign V888139 = V901773 + 1. assign V962291 = V777514. assign V876654 = V224756. assign V896860 = V514950. assign V638834 = V198963. assign V323358 = V672617 - 1. assign V667287 = V569427. assign V700694 = V653804 - 1. assign V641641 = V253803. assign V199903 = V494773. assign V540887 = V881143 - 1. assign V931439 = V683272 + 1. assign V208863 = V777514 + 1. assign V146524 = V477564. assign V615300 = V533612 + 1. assign V900472 = V962291 - 1. assign V968773 = V238400 - 1. assign V327553 = V385662. assign V688190 = V493969 - 1. assign V777514 = V198963 + 1. assign V316970 = V141983 - 1. assign V417437 = V409784 + 1. assign V436434 = V896860 - 1. assign V206240 = V072220. assign V494773 = V668187 + 1. assign V703641 = V539304 + 1. assign V099785 = V198963. assign V253803 = V392260. assign V685310 = V123225 + 1. assign V175733 = V962291. assign V486916 = V362362. assign V238400 = V518924 + 1. assign V607457 = V881143. assign V653804 = V233354 - 1. assign V392260 = V760705 - 1. assign V672219 = V703771 - 1. assign V954175 = V613665 + 1. assign V956647 = V304326 - 1. assign V826647 = V634237. assign V348613 = V613665 - 1. assign V881143 = V653804 + 1. assign V510928 = V175733. assign V683272 = V777514 - 1. assign V328658 = V362362. assign V851558 = V523695. assign V233584 = V881143. assign V901773 = V757228 + 1. assign V756055 = V550545 - 1. assign V066428 = V607457 + 1. assign V758852 = V224756 - 1. assign V493969 = V392260. assign V747294 = V414140 + 1. assign V936892 = V889530. assign V497570 = V851558 - 1. assign V918543 = V459638. assign V560444 = V099785 + 1. assign V754015 = V936892 + 1. assign V859891 = V973311 + 1. assign V165375 = V973311 + 1. assign V423165 = V392260 - 1. assign V550545 = V772203 + 1. assign V898309 = V497290 + 1. assign V304326 = V900472 + 1. assign V493626 = V881143 + 1. assign V569427 = V889530 + 1. assign V934464 = V085416 + 1. assign V765354 = V824361 - 1. assign V454289 = V146524. assign V986900 = V337925 - 1. assign V730403 = V459638. assign V706658 = V417437 + 1. assign V141983 = V417437 + 1. assign V815086 = V900472 + 1. assign V233354 = V889530 + 1. assign V429260 = V837277. assign V362362 = V493969. assign V429898 = V459638 - 1. assign V772203 = V409784. assign V627441 = V777514 - 1. assign V238757 = V208863 - 1. assign V533612 = V900472. assign V224756 = V405996 + 1. assign V668187 = V962291 + 1. assign V347216 = V704219 + 1. assign V511327 = V165375. assign V672682 = V672219. assign V284040 = V672617 + 1. assign V944267 = V459638 - 1. assign V704219 = V889530. assign V523695 = V101729. assign V125555 = V539304. assign V814527 = V777514 + 1. assign V760705 = V653804. assign V575150 = V815086 + 1. assign V798702 = V667287 + 1. assign V082068 = V760705 + 1. assign V672617 = V777514 - 1. assign V735658 = V613665. assign V085416 = V417437 - 1. assign V215288 = V514950 + 1. assign V398148 = V284040. assign V126100 = V414140 - 1. assign V372313 = V613665. assign V380265 = V409784. assign V554802 = V777514. assign V198798 = V898309 + 1. assign V318183 = V141983. assign V433528 = V798702. assign V443739 = V901773 + 1. assign V101729 = V973311. assign V277449 = V540887 - 1. assign V962176 = V898309. assign V072220 = V198963 + 1. assign V207179 = V956647 + 1. assign V477564 = V414140 + 1. assign V709841 = V459638. assign V493808 = V900472. assign V634237 = V494773 - 1. assign V123225 = V373225 + 1. assign V757228 = V380265 + 1. assign V953464 = V539304. assign V518924 = V668187. assign V577615 = V211650. assign V405996 = V414140 - 1. assign V272050 = V799869. assign V514950 = V175733. assign V837476 = V493969. assign V539304 = V417437. assign V001427 = V754015. assign V157221 = V859891 - 1. assign V154417 = V199903 - 1. assign V497290 = V125555 - 1. assign V211650 = V233354 - 1. assign V051050 = V101729. assign V042598 = V533612 - 1. assign V122190 = V747294. assign V806967 = V164756. assign V373225 = V901773. assign V584409 = V973311 + 1. assign V414140 = V443739 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V877895 = V429260 + 1. assign V604904 = V414140. assign V613665 = V931439 + 1. assign V444247 = V337925 + 1. assign V160608 = V540887. assign V998168 = V754015 + 1. assign V494861 = V962291 + 1. assign V665733 = V889530. assign V164756 = 9. assign V753280 = V126100 - 1. assign V409784 = V198963. assign V565442 = V405996 - 1. assign V459638 = V233584. assign V337925 = V125555. assign V542749 = V918543 - 1. assign V835170 = V900472. assign V652665 = V777514 + 1. assign V322579 = V653804 + 1. assign V973311 = V409784 - 1. assign V264524 = V304326 + 1. assign V146300 = V688190. assign V889530 = V777514. assign V712676 = V082068 + 1. assign V870253 = V459638 + 1. assign V703771 = V881143. assign V586683 = V777514. assign V385662 = V429898 + 1. assign V837277 = V672219 + 1. assign V901483 = V754015. assign V824361 = V539304. assign V795903 = V233354 + 1. assign V799869 = V569427 + 1. assign V888139 = V901773 + 1. assign V962291 = V777514. assign V876654 = V224756. assign V896860 = V514950. assign V638834 = V198963. assign V323358 = V672617 - 1. assign V667287 = V569427. assign V700694 = V653804 - 1. assign V641641 = V253803. assign V199903 = V494773. assign V540887 = V881143 - 1. assign V931439 = V683272 + 1. assign V208863 = V777514 + 1. assign V146524 = V477564. assign V615300 = V533612 + 1. assign V900472 = V962291 - 1. assign V968773 = V238400 - 1. assign V327553 = V385662. assign V688190 = V493969 - 1. assign V777514 = V198963 + 1. assign V316970 = V141983 - 1. assign V417437 = V409784 + 1. assign V436434 = V896860 - 1. assign V206240 = V072220. assign V494773 = V668187 + 1. assign V703641 = V539304 + 1. assign V099785 = V198963. assign V253803 = V392260. assign V685310 = V123225 + 1. assign V175733 = V962291. assign V486916 = V362362. assign V238400 = V518924 + 1. assign V607457 = V881143. assign V653804 = V233354 - 1. assign V392260 = V760705 - 1. assign V672219 = V703771 - 1. assign V954175 = V613665 + 1. assign V956647 = V304326 - 1. assign V826647 = V634237. assign V348613 = V613665 - 1. assign V881143 = V653804 + 1. assign V510928 = V175733. assign V683272 = V777514 - 1. assign V328658 = V362362. assign V851558 = V523695. assign V233584 = V881143. assign V901773 = V757228 + 1. assign V756055 = V550545 - 1. assign V066428 = V607457 + 1. assign V758852 = V224756 - 1. assign V493969 = V392260. assign V747294 = V414140 + 1. assign V936892 = V889530. assign V497570 = V851558 - 1. assign V918543 = V459638. assign V560444 = V099785 + 1. assign V754015 = V936892 + 1. assign V859891 = V973311 + 1. assign V165375 = V973311 + 1. assign V423165 = V392260 - 1. assign V550545 = V772203 + 1. assign V898309 = V497290 + 1. assign V304326 = V900472 + 1. assign V493626 = V881143 + 1. assign V569427 = V889530 + 1. assign V934464 = V085416 + 1. assign V765354 = V824361 - 1. assign V454289 = V146524. assign V986900 = V337925 - 1. assign V730403 = V459638. assign V706658 = V417437 + 1. assign V141983 = V417437 + 1. assign V815086 = V900472 + 1. assign V233354 = V889530 + 1. assign V429260 = V837277. assign V362362 = V493969. assign V429898 = V459638 - 1. assign V772203 = V409784. assign V627441 = V777514 - 1. assign V238757 = V208863 - 1. assign V533612 = V900472. assign V224756 = V405996 + 1. assign V668187 = V962291 + 1. assign V347216 = V704219 + 1. assign V511327 = V165375. assign V672682 = V672219. assign V284040 = V672617 + 1. assign V944267 = V459638 - 1. assign V704219 = V889530. assign V523695 = V101729. assign V125555 = V539304. assign V814527 = V777514 + 1. assign V760705 = V653804. assign V575150 = V815086 + 1. assign V798702 = V667287 + 1. assign V082068 = V760705 + 1. assign V672617 = V777514 - 1. assign V735658 = V613665. assign V085416 = V417437 - 1. assign V215288 = V514950 + 1. assign V398148 = V284040. assign V126100 = V414140 - 1. assign V372313 = V613665. assign V380265 = V409784. assign V554802 = V777514. assign V198798 = V898309 + 1. assign V318183 = V141983. assign V433528 = V798702. assign V443739 = V901773 + 1. assign V101729 = V973311. assign V277449 = V540887 - 1. assign V962176 = V898309. assign V072220 = V198963 + 1. assign V207179 = V956647 + 1. assign V477564 = V414140 + 1. assign V709841 = V459638. assign V493808 = V900472. assign V634237 = V494773 - 1. assign V123225 = V373225 + 1. assign V757228 = V380265 + 1. assign V953464 = V539304. assign V518924 = V668187. assign V577615 = V211650. assign V405996 = V414140 - 1. assign V272050 = V799869. assign V514950 = V175733. assign V837476 = V493969. assign V539304 = V417437. assign V001427 = V754015. assign V157221 = V859891 - 1. assign V154417 = V199903 - 1. assign V497290 = V125555 - 1. assign V211650 = V233354 - 1. assign V051050 = V101729. assign V042598 = V533612 - 1. assign V122190 = V747294. assign V806967 = V164756. assign V373225 = V901773. assign V584409 = V973311 + 1. assign V414140 = V443739 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 9.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV164756 = 9;\n\nFrom these direct assignment(s), we have: \nV806967 = V164756 = 9;\nNo other variables can be derived from V806967;\nNo other variables can be derived from V164756;\n\nNow we have done all the calculations. Derived variables are:\nV164756 = 9;\nV806967 = 9;\n\nNow we have finished this problem. ANSWER:\nV164756, V806967\n", "role": "assistant" } ]

[ "V669950", "V806985" ]

[ { "content": "<context>\nassign V895335 = V713220 + 1. assign V530164 = V093923 + 1. assign V660677 = V898449. assign V169859 = V619093. assign V554625 = V442704 + 1. assign V699999 = V617384 - 1. assign V447836 = V617384 - 1. assign V625039 = V052208. assign V237079 = V723302 - 1. assign V259603 = V272433 + 1. assign V319559 = V333111. assign V230103 = V802982 + 1. assign V621106 = V617384 + 1. assign V069821 = V099965 + 1. assign V729867 = V770918 - 1. assign V871395 = V770918. assign V155593 = V321532 - 1. assign V921765 = V221690 + 1. assign V610739 = V871395 + 1. assign V713220 = V094814. assign V530054 = V373080 + 1. assign V643500 = V048574 + 1. assign V823553 = V726887 - 1. assign V619093 = V820603. assign V305974 = V319559. assign V213841 = V184772 - 1. assign V515377 = V723302. assign V311878 = V508972 + 1. assign V048574 = V099965 - 1. assign V433171 = V237079. assign V898449 = V101154 - 1. assign V165107 = V184772 - 1. assign V111062 = V052208. assign V851723 = V210668 - 1. assign V927698 = V643500 - 1. assign V699335 = V221690 - 1. assign V726887 = V681882 - 1. assign V523144 = V921765. assign V188677 = V448955 - 1. assign V009548 = V305974 - 1. assign V448955 = V515377 - 1. assign V099965 = V697378. assign V697378 = V688993 - 1. assign V013473 = V373080. assign V514362 = V546545. assign V210668 = V052208. assign V665370 = V459663. assign V211049 = V935590. assign V966384 = V448193. assign V076986 = V459663 - 1. assign V052196 = V802982 - 1. assign V491402 = V013337 - 1. assign V221690 = V802982. assign V520977 = V101154 - 1. assign V438907 = V699335. assign V052208 = V221690 + 1. assign V961629 = V921765 + 1. assign V261481 = V221690. assign V151227 = V184772 - 1. assign V414107 = V221690 + 1. assign V688993 = V723302 - 1. assign V686705 = V221690 - 1. assign V750911 = V237079 - 1. assign V470064 = V517938 + 1. assign V157075 = V151227. assign V101154 = V359105 - 1. assign V024411 = V230103. assign V910937 = V961629 - 1. assign V937922 = V525169 + 1. assign V029081 = V713220 - 1. assign V747880 = V697378. assign V082663 = V802982 + 1. assign V515574 = V732454. assign V802982 = V723302 - 1. assign V344909 = V082663 - 1. assign V739081 = V226192 - 1. assign V023188 = V319559 + 1. assign V906411 = V359105 - 1. assign V699370 = V273066 + 1. assign V448193 = V699335. assign V525169 = V910937. assign V006321 = V802982 - 1. assign V013337 = V851723. assign V226192 = V321532 - 1. assign V732454 = V090953 - 1. assign V965528 = V076986. assign V090953 = V726887 + 1. assign V812886 = V226192. assign V273066 = V442178 + 1. assign V592113 = V082663 + 1. assign V373080 = V688993. assign V658693 = V090953 + 1. assign V577163 = V344909 + 1. assign V017531 = V459663 + 1. assign V282884 = V210668. assign V769417 = V373080 - 1. assign V087982 = V319559 + 1. assign V842896 = V101154. assign V442178 = V359105 - 1. assign V459663 = V697378 + 1. assign V935590 = V414107. assign V349611 = V321532. assign V356600 = V230103 + 1. assign V991620 = V458529 - 1. assign V639660 = V230103 + 1. assign V501082 = V871807 + 1. assign V628451 = V873184. assign V359105 = V237079 + 1. assign V549516 = V656276. assign V927899 = V944833 - 1. assign V517938 = V530164 - 1. assign V117543 = V226192. assign V891368 = V447836 - 1. assign V202929 = V111062 + 1. assign V104901 = V547062. assign V400726 = V525169 + 1. assign V634386 = V592113 + 1. assign V459931 = V023188. assign V826445 = V874288. assign V022793 = V262484. assign V321532 = V688993 + 1. assign V871807 = V006321. assign V772920 = V023188 - 1. assign V873184 = V111062 + 1. assign V823265 = V237079 + 1. assign V546545 = V851723. assign V808098 = V261481 + 1. assign V779489 = V575830 + 1. assign V806985 = V669950. assign V708504 = V546545 - 1. assign V944833 = V013473 - 1. assign V469919 = V844646 - 1. assign V397499 = V681882 + 1. assign V094814 = V949485 + 1. assign V983857 = V627887. assign V617384 = V397499 + 1. assign V333111 = V411088 + 1. assign V005534 = V022793. assign V442704 = V547062 + 1. assign V844646 = V750911. assign V820603 = V093923 + 1. assign V627887 = V442704 - 1. assign V517014 = V261481 - 1. assign V508972 = V130453 + 1. assign V949485 = V699335. assign V272433 = V750911 - 1. assign V772310 = V554625. assign V264728 = V210668 - 1. assign V508654 = V732454 + 1. assign V184772 = V013337 - 1. assign V669950 = 3. assign V427691 = V237079 - 1. assign V130453 = V681882 + 1. assign V770918 = V921765 + 1. assign V262484 = V935590 - 1. assign V547062 = V681882 + 1. assign V421026 = V779489. assign V671961 = V397499. assign V575830 = V221690 + 1. assign V690699 = V438907. assign V458529 = V554625 + 1. assign V636999 = V697378 + 1. assign V841209 = V747880 + 1. assign V087003 = V686705 - 1. assign V681882 = V411088 - 1. assign V803047 = V547062. assign V686384 = V349611 + 1. assign V093923 = V052208 - 1. assign V874288 = V517938 - 1. assign V656276 = V575830. assign V411088 = V802982 + 1. assign V289466 = V359105 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V895335 = V713220 + 1. assign V530164 = V093923 + 1. assign V660677 = V898449. assign V169859 = V619093. assign V554625 = V442704 + 1. assign V699999 = V617384 - 1. assign V447836 = V617384 - 1. assign V625039 = V052208. assign V237079 = V723302 - 1. assign V259603 = V272433 + 1. assign V319559 = V333111. assign V230103 = V802982 + 1. assign V621106 = V617384 + 1. assign V069821 = V099965 + 1. assign V729867 = V770918 - 1. assign V871395 = V770918. assign V155593 = V321532 - 1. assign V921765 = V221690 + 1. assign V610739 = V871395 + 1. assign V713220 = V094814. assign V530054 = V373080 + 1. assign V643500 = V048574 + 1. assign V823553 = V726887 - 1. assign V619093 = V820603. assign V305974 = V319559. assign V213841 = V184772 - 1. assign V515377 = V723302. assign V311878 = V508972 + 1. assign V048574 = V099965 - 1. assign V433171 = V237079. assign V898449 = V101154 - 1. assign V165107 = V184772 - 1. assign V111062 = V052208. assign V851723 = V210668 - 1. assign V927698 = V643500 - 1. assign V699335 = V221690 - 1. assign V726887 = V681882 - 1. assign V523144 = V921765. assign V188677 = V448955 - 1. assign V009548 = V305974 - 1. assign V448955 = V515377 - 1. assign V099965 = V697378. assign V697378 = V688993 - 1. assign V013473 = V373080. assign V514362 = V546545. assign V210668 = V052208. assign V665370 = V459663. assign V211049 = V935590. assign V966384 = V448193. assign V076986 = V459663 - 1. assign V052196 = V802982 - 1. assign V491402 = V013337 - 1. assign V221690 = V802982. assign V520977 = V101154 - 1. assign V438907 = V699335. assign V052208 = V221690 + 1. assign V961629 = V921765 + 1. assign V261481 = V221690. assign V151227 = V184772 - 1. assign V414107 = V221690 + 1. assign V688993 = V723302 - 1. assign V686705 = V221690 - 1. assign V750911 = V237079 - 1. assign V470064 = V517938 + 1. assign V157075 = V151227. assign V101154 = V359105 - 1. assign V024411 = V230103. assign V910937 = V961629 - 1. assign V937922 = V525169 + 1. assign V029081 = V713220 - 1. assign V747880 = V697378. assign V082663 = V802982 + 1. assign V515574 = V732454. assign V802982 = V723302 - 1. assign V344909 = V082663 - 1. assign V739081 = V226192 - 1. assign V023188 = V319559 + 1. assign V906411 = V359105 - 1. assign V699370 = V273066 + 1. assign V448193 = V699335. assign V525169 = V910937. assign V006321 = V802982 - 1. assign V013337 = V851723. assign V226192 = V321532 - 1. assign V732454 = V090953 - 1. assign V965528 = V076986. assign V090953 = V726887 + 1. assign V812886 = V226192. assign V273066 = V442178 + 1. assign V592113 = V082663 + 1. assign V373080 = V688993. assign V658693 = V090953 + 1. assign V577163 = V344909 + 1. assign V017531 = V459663 + 1. assign V282884 = V210668. assign V769417 = V373080 - 1. assign V087982 = V319559 + 1. assign V842896 = V101154. assign V442178 = V359105 - 1. assign V459663 = V697378 + 1. assign V935590 = V414107. assign V349611 = V321532. assign V356600 = V230103 + 1. assign V991620 = V458529 - 1. assign V639660 = V230103 + 1. assign V501082 = V871807 + 1. assign V628451 = V873184. assign V359105 = V237079 + 1. assign V549516 = V656276. assign V927899 = V944833 - 1. assign V517938 = V530164 - 1. assign V117543 = V226192. assign V891368 = V447836 - 1. assign V202929 = V111062 + 1. assign V104901 = V547062. assign V400726 = V525169 + 1. assign V634386 = V592113 + 1. assign V459931 = V023188. assign V826445 = V874288. assign V022793 = V262484. assign V321532 = V688993 + 1. assign V871807 = V006321. assign V772920 = V023188 - 1. assign V873184 = V111062 + 1. assign V823265 = V237079 + 1. assign V546545 = V851723. assign V808098 = V261481 + 1. assign V779489 = V575830 + 1. assign V806985 = V669950. assign V708504 = V546545 - 1. assign V944833 = V013473 - 1. assign V469919 = V844646 - 1. assign V397499 = V681882 + 1. assign V094814 = V949485 + 1. assign V983857 = V627887. assign V617384 = V397499 + 1. assign V333111 = V411088 + 1. assign V005534 = V022793. assign V442704 = V547062 + 1. assign V844646 = V750911. assign V820603 = V093923 + 1. assign V627887 = V442704 - 1. assign V517014 = V261481 - 1. assign V508972 = V130453 + 1. assign V949485 = V699335. assign V272433 = V750911 - 1. assign V772310 = V554625. assign V264728 = V210668 - 1. assign V508654 = V732454 + 1. assign V184772 = V013337 - 1. assign V669950 = 3. assign V427691 = V237079 - 1. assign V130453 = V681882 + 1. assign V770918 = V921765 + 1. assign V262484 = V935590 - 1. assign V547062 = V681882 + 1. assign V421026 = V779489. assign V671961 = V397499. assign V575830 = V221690 + 1. assign V690699 = V438907. assign V458529 = V554625 + 1. assign V636999 = V697378 + 1. assign V841209 = V747880 + 1. assign V087003 = V686705 - 1. assign V681882 = V411088 - 1. assign V803047 = V547062. assign V686384 = V349611 + 1. assign V093923 = V052208 - 1. assign V874288 = V517938 - 1. assign V656276 = V575830. assign V411088 = V802982 + 1. assign V289466 = V359105 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 3.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV669950 = 3;\n\nFrom these direct assignment(s), we have: \nV806985 = V669950 = 3;\nNo other variables can be derived from V806985;\nNo other variables can be derived from V669950;\n\nNow we have done all the calculations. Derived variables are:\nV669950 = 3;\nV806985 = 3;\n\nNow we have finished this problem. ANSWER:\nV669950, V806985\n", "role": "assistant" } ]

[ "V600640" ]

[ { "content": "<context>\nassign V872666 = V213098 + 1. assign V632970 = V292919. assign V455393 = V169875 + 1. assign V858445 = V991127 + 1. assign V802145 = V913303. assign V757733 = V978781 + 1. assign V972768 = V632126 + 1. assign V632126 = V608847 + 1. assign V991127 = V952907 + 1. assign V846933 = V973811 + 1. assign V758534 = V752299. assign V313693 = V978868 - 1. assign V021268 = V537516. assign V204921 = V352655 + 1. assign V414248 = V002149 - 1. assign V292919 = V474241 - 1. assign V932665 = V759483 - 1. assign V169875 = V952461 + 1. assign V804551 = V005391 + 1. assign V484450 = V993505 + 1. assign V342799 = V023669 + 1. assign V454072 = V213098. assign V675375 = V213098 - 1. assign V053652 = V428007 + 1. assign V476759 = V719213 - 1. assign V120424 = V757733. assign V295443 = V671592 - 1. assign V449621 = V187550. assign V975074 = V845315. assign V213098 = V198645 + 1. assign V660149 = V777286 - 1. assign V561935 = V973811. assign V898049 = V213098 + 1. assign V320920 = V129704. assign V953725 = V428007. assign V266104 = V193529. assign V187550 = V148514 + 1. assign V302334 = V460993 + 1. assign V879226 = V002149 + 1. assign V505329 = V213098 + 1. assign V721862 = V022447. assign V845315 = V474241 - 1. assign V002149 = V777286. assign V600640 = V688340 - 1. assign V997899 = V956655. assign V878714 = V211893 + 1. assign V720443 = V973811. assign V752299 = V973811. assign V913303 = V973811 + 1. assign V993505 = V898049 - 1. assign V978781 = V929000 + 1. assign V352655 = V673362 - 1. assign V500724 = V383986. assign V141044 = V963401. assign V178095 = V342799 - 1. assign V681846 = V978868. assign V022447 = V972768 + 1. assign V589238 = V302334 + 1. assign V193520 = V414248 - 1. assign V207203 = V359124 + 1. assign V759267 = V198645 + 1. assign V472744 = V522161 - 1. assign V929000 = V673362. assign V952907 = V522161 + 1. assign V383986 = V973811 + 1. assign V833489 = V766542. assign V001232 = V460993 + 1. assign V358528 = V673362. assign V673362 = V213098. assign V267361 = V681846. assign V608847 = V352655. assign V795339 = V352655 + 1. assign V705540 = V053652. assign V766542 = V652189. assign V493284 = V777286 - 1. assign V967261 = V952907. assign V493775 = V993505. assign V082873 = V963401 + 1. assign V102565 = V096200 + 1. assign V240937 = V096200 - 1. assign V309595 = V160304. assign V843198 = V993505 - 1. assign V173432 = V484450 - 1. assign V023669 = V978868 - 1. assign V031490 = V044592. assign V948833 = V359124. assign V318412 = V198645 + 1. assign V848430 = V472744. assign V606135 = V759483 - 1. assign V878390 = V031490 - 1. assign V365074 = V673362. assign V005284 = V757733 + 1. assign V673185 = V963401 + 1. assign V709064 = V973811 - 1. assign V003930 = V665897. assign V265639 = V110319 + 1. assign V247769 = V240937 - 1. assign V777286 = V913303 + 1. assign V803665 = V302334 + 1. assign V079306 = V818349 + 1. assign V211893 = V952907 + 1. assign V375449 = V414248 + 1. assign V180823 = V561935 - 1. assign V963401 = V522161 - 1. assign V118056 = V320920. assign V688340 = 0. assign V759483 = V522161. assign V780941 = V523909. assign V303723 = V428007 + 1. assign V120542 = V318412. assign V396144 = V312394 + 1. assign V043130 = V313693 + 1. assign V215217 = V846053 - 1. assign V956655 = V002149 - 1. assign V129704 = V522161 + 1. assign V414340 = V302334 - 1. assign V719213 = V963401. assign V037501 = V003930 + 1. assign V198645 = V963401 - 1. assign V805720 = V932665 + 1. assign V193529 = V972768 + 1. assign V978868 = V148514 + 1. assign V620107 = V652189. assign V897680 = V899796 - 1. assign V682185 = V632126 - 1. assign V508428 = V833489. assign V215985 = V660149 - 1. assign V441445 = V292919. assign V306022 = V673185 + 1. assign V635110 = V632126. assign V698293 = V313693 - 1. assign V665897 = V997899 - 1. assign V389624 = V993505. assign V863314 = V899796 - 1. assign V338728 = V993505 - 1. assign V952461 = V472744 - 1. assign V717560 = V848430 + 1. assign V488836 = V663003 - 1. assign V652189 = V198645 + 1. assign V663003 = V522161 - 1. assign V828564 = V996515. assign V869752 = V414340. assign V441586 = V997689. assign V996515 = V352655 - 1. assign V359124 = V173432 + 1. assign V428007 = V358528 - 1. assign V148514 = V460993 + 1. assign V474241 = V963401 + 1. assign V997689 = V428007 + 1. assign V145196 = V589238. assign V818349 = V148514. assign V096200 = V913303 - 1. assign V422966 = V752299. assign V989635 = V129704. assign V160304 = V913303 - 1. assign V857607 = V193529. assign V033808 = V359124. assign V899796 = V148514. assign V746617 = V952461 - 1. assign V005391 = V757733. assign V671592 = V932665 + 1. assign V460993 = V561935. assign V549157 = V869752 + 1. assign V537516 = V292919 + 1. assign V312394 = V129704 - 1. assign V336760 = V021268 + 1. assign V110319 = V561935 + 1. assign V846053 = V110319 - 1. assign V523909 = V522161. assign V044592 = V358528 + 1. assign V676665 = V997689 + 1. assign V973811 = V522161 + 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 V872666 = V213098 + 1. assign V632970 = V292919. assign V455393 = V169875 + 1. assign V858445 = V991127 + 1. assign V802145 = V913303. assign V757733 = V978781 + 1. assign V972768 = V632126 + 1. assign V632126 = V608847 + 1. assign V991127 = V952907 + 1. assign V846933 = V973811 + 1. assign V758534 = V752299. assign V313693 = V978868 - 1. assign V021268 = V537516. assign V204921 = V352655 + 1. assign V414248 = V002149 - 1. assign V292919 = V474241 - 1. assign V932665 = V759483 - 1. assign V169875 = V952461 + 1. assign V804551 = V005391 + 1. assign V484450 = V993505 + 1. assign V342799 = V023669 + 1. assign V454072 = V213098. assign V675375 = V213098 - 1. assign V053652 = V428007 + 1. assign V476759 = V719213 - 1. assign V120424 = V757733. assign V295443 = V671592 - 1. assign V449621 = V187550. assign V975074 = V845315. assign V213098 = V198645 + 1. assign V660149 = V777286 - 1. assign V561935 = V973811. assign V898049 = V213098 + 1. assign V320920 = V129704. assign V953725 = V428007. assign V266104 = V193529. assign V187550 = V148514 + 1. assign V302334 = V460993 + 1. assign V879226 = V002149 + 1. assign V505329 = V213098 + 1. assign V721862 = V022447. assign V845315 = V474241 - 1. assign V002149 = V777286. assign V600640 = V688340 - 1. assign V997899 = V956655. assign V878714 = V211893 + 1. assign V720443 = V973811. assign V752299 = V973811. assign V913303 = V973811 + 1. assign V993505 = V898049 - 1. assign V978781 = V929000 + 1. assign V352655 = V673362 - 1. assign V500724 = V383986. assign V141044 = V963401. assign V178095 = V342799 - 1. assign V681846 = V978868. assign V022447 = V972768 + 1. assign V589238 = V302334 + 1. assign V193520 = V414248 - 1. assign V207203 = V359124 + 1. assign V759267 = V198645 + 1. assign V472744 = V522161 - 1. assign V929000 = V673362. assign V952907 = V522161 + 1. assign V383986 = V973811 + 1. assign V833489 = V766542. assign V001232 = V460993 + 1. assign V358528 = V673362. assign V673362 = V213098. assign V267361 = V681846. assign V608847 = V352655. assign V795339 = V352655 + 1. assign V705540 = V053652. assign V766542 = V652189. assign V493284 = V777286 - 1. assign V967261 = V952907. assign V493775 = V993505. assign V082873 = V963401 + 1. assign V102565 = V096200 + 1. assign V240937 = V096200 - 1. assign V309595 = V160304. assign V843198 = V993505 - 1. assign V173432 = V484450 - 1. assign V023669 = V978868 - 1. assign V031490 = V044592. assign V948833 = V359124. assign V318412 = V198645 + 1. assign V848430 = V472744. assign V606135 = V759483 - 1. assign V878390 = V031490 - 1. assign V365074 = V673362. assign V005284 = V757733 + 1. assign V673185 = V963401 + 1. assign V709064 = V973811 - 1. assign V003930 = V665897. assign V265639 = V110319 + 1. assign V247769 = V240937 - 1. assign V777286 = V913303 + 1. assign V803665 = V302334 + 1. assign V079306 = V818349 + 1. assign V211893 = V952907 + 1. assign V375449 = V414248 + 1. assign V180823 = V561935 - 1. assign V963401 = V522161 - 1. assign V118056 = V320920. assign V688340 = 0. assign V759483 = V522161. assign V780941 = V523909. assign V303723 = V428007 + 1. assign V120542 = V318412. assign V396144 = V312394 + 1. assign V043130 = V313693 + 1. assign V215217 = V846053 - 1. assign V956655 = V002149 - 1. assign V129704 = V522161 + 1. assign V414340 = V302334 - 1. assign V719213 = V963401. assign V037501 = V003930 + 1. assign V198645 = V963401 - 1. assign V805720 = V932665 + 1. assign V193529 = V972768 + 1. assign V978868 = V148514 + 1. assign V620107 = V652189. assign V897680 = V899796 - 1. assign V682185 = V632126 - 1. assign V508428 = V833489. assign V215985 = V660149 - 1. assign V441445 = V292919. assign V306022 = V673185 + 1. assign V635110 = V632126. assign V698293 = V313693 - 1. assign V665897 = V997899 - 1. assign V389624 = V993505. assign V863314 = V899796 - 1. assign V338728 = V993505 - 1. assign V952461 = V472744 - 1. assign V717560 = V848430 + 1. assign V488836 = V663003 - 1. assign V652189 = V198645 + 1. assign V663003 = V522161 - 1. assign V828564 = V996515. assign V869752 = V414340. assign V441586 = V997689. assign V996515 = V352655 - 1. assign V359124 = V173432 + 1. assign V428007 = V358528 - 1. assign V148514 = V460993 + 1. assign V474241 = V963401 + 1. assign V997689 = V428007 + 1. assign V145196 = V589238. assign V818349 = V148514. assign V096200 = V913303 - 1. assign V422966 = V752299. assign V989635 = V129704. assign V160304 = V913303 - 1. assign V857607 = V193529. assign V033808 = V359124. assign V899796 = V148514. assign V746617 = V952461 - 1. assign V005391 = V757733. assign V671592 = V932665 + 1. assign V460993 = V561935. assign V549157 = V869752 + 1. assign V537516 = V292919 + 1. assign V312394 = V129704 - 1. assign V336760 = V021268 + 1. assign V110319 = V561935 + 1. assign V846053 = V110319 - 1. assign V523909 = V522161. assign V044592 = V358528 + 1. assign V676665 = V997689 + 1. assign V973811 = V522161 + 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):\nV688340 = 0;\n\nFrom these direct assignment(s), we have: \nV600640 = V688340 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V600640;\nNo other variables can be derived from V688340;\n\nNow we have done all the calculations. Derived variables are:\nV688340 = 0;\nV600640 = -1;\n\nNow we have finished this problem. ANSWER:\nV600640\n", "role": "assistant" } ]