Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k_test_seed1000

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" } ]