Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k

like 0

[ "V685439" ]

[ { "content": "<context>\nassign V767959 = V345357. assign V630031 = V090116 - 1. assign V456396 = V114242 - 1. assign V938725 = V393807 - 1. assign V759196 = V446042 + 1. assign V345357 = V795304 - 1. assign V632109 = V689141 - 1. assign V505539 = V926158 - 1. assign V704110 = V293678 + 1. assign V349754 = V435748. assign V305566 = V585584 - 1. assign V379170 = V977523 + 1. assign V484845 = V505539 + 1. assign V998465 = V759196 + 1. assign V494590 = V579851 + 1. assign V393807 = V169779 + 1. assign V612449 = V633230 + 1. assign V020061 = V897058. assign V860757 = V610523 + 1. assign V658173 = V345357 + 1. assign V118912 = V293678 - 1. assign V346148 = V653732 + 1. assign V754256 = V447453 + 1. assign V977523 = V956905. assign V625221 = V647249. assign V174304 = V592922 - 1. assign V252744 = V689141 - 1. assign V015352 = V767959 + 1. assign V464501 = V262988 + 1. assign V592922 = V795304 - 1. assign V582807 = V118912 + 1. assign V768572 = V114242 + 1. assign V956905 = V276976. assign V090116 = V211420 + 1. assign V968521 = V926158 + 1. assign V276976 = V345357 - 1. assign V060046 = V956905. assign V012459 = V114242. assign V127463 = V393807 - 1. assign V457788 = V446042. assign V897058 = V632109 + 1. assign V585584 = V464501. assign V472752 = V723679 + 1. assign V396037 = V723679. assign V208853 = V630031 + 1. assign V681411 = V118912 + 1. assign V021213 = V060046 + 1. assign V633230 = V658173 - 1. assign V646182 = V114242 - 1. assign V565499 = V795304 + 1. assign V114242 = V345357 - 1. assign V584103 = V446042. assign V465904 = V158285 - 1. assign V723679 = V446042. assign V365155 = V658173 + 1. assign V986891 = V472752 - 1. assign V169779 = V795304. assign V447453 = V795304 - 1. assign V435748 = V118912 + 1. assign V211420 = V579851 + 1. assign V685439 = 4. assign V237014 = V658173 - 1. assign V113527 = V632109 - 1. assign V699428 = V447453 + 1. assign V719235 = V977523. assign V158285 = V090116 - 1. assign V862518 = V681411. assign V293678 = V632109 + 1. assign V147594 = V118912. assign V610523 = V867377 - 1. assign V836017 = V689141. assign V446042 = V689141 + 1. assign V109691 = V977523 - 1. assign V579851 = V396037. assign V653732 = V727521 + 1. assign V966752 = V345357 - 1. assign V689141 = V795304 - 1. assign V869082 = V632109. assign V170311 = V647249 + 1. assign V926158 = V723679 - 1. assign V016309 = V472752 - 1. assign V727521 = V704110 - 1. assign V380770 = V685439 + 1. assign V867377 = V114242. assign V647249 = V658173. assign V262988 = V446042 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V767959 = V345357. assign V630031 = V090116 - 1. assign V456396 = V114242 - 1. assign V938725 = V393807 - 1. assign V759196 = V446042 + 1. assign V345357 = V795304 - 1. assign V632109 = V689141 - 1. assign V505539 = V926158 - 1. assign V704110 = V293678 + 1. assign V349754 = V435748. assign V305566 = V585584 - 1. assign V379170 = V977523 + 1. assign V484845 = V505539 + 1. assign V998465 = V759196 + 1. assign V494590 = V579851 + 1. assign V393807 = V169779 + 1. assign V612449 = V633230 + 1. assign V020061 = V897058. assign V860757 = V610523 + 1. assign V658173 = V345357 + 1. assign V118912 = V293678 - 1. assign V346148 = V653732 + 1. assign V754256 = V447453 + 1. assign V977523 = V956905. assign V625221 = V647249. assign V174304 = V592922 - 1. assign V252744 = V689141 - 1. assign V015352 = V767959 + 1. assign V464501 = V262988 + 1. assign V592922 = V795304 - 1. assign V582807 = V118912 + 1. assign V768572 = V114242 + 1. assign V956905 = V276976. assign V090116 = V211420 + 1. assign V968521 = V926158 + 1. assign V276976 = V345357 - 1. assign V060046 = V956905. assign V012459 = V114242. assign V127463 = V393807 - 1. assign V457788 = V446042. assign V897058 = V632109 + 1. assign V585584 = V464501. assign V472752 = V723679 + 1. assign V396037 = V723679. assign V208853 = V630031 + 1. assign V681411 = V118912 + 1. assign V021213 = V060046 + 1. assign V633230 = V658173 - 1. assign V646182 = V114242 - 1. assign V565499 = V795304 + 1. assign V114242 = V345357 - 1. assign V584103 = V446042. assign V465904 = V158285 - 1. assign V723679 = V446042. assign V365155 = V658173 + 1. assign V986891 = V472752 - 1. assign V169779 = V795304. assign V447453 = V795304 - 1. assign V435748 = V118912 + 1. assign V211420 = V579851 + 1. assign V685439 = 4. assign V237014 = V658173 - 1. assign V113527 = V632109 - 1. assign V699428 = V447453 + 1. assign V719235 = V977523. assign V158285 = V090116 - 1. assign V862518 = V681411. assign V293678 = V632109 + 1. assign V147594 = V118912. assign V610523 = V867377 - 1. assign V836017 = V689141. assign V446042 = V689141 + 1. assign V109691 = V977523 - 1. assign V579851 = V396037. assign V653732 = V727521 + 1. assign V966752 = V345357 - 1. assign V689141 = V795304 - 1. assign V869082 = V632109. assign V170311 = V647249 + 1. assign V926158 = V723679 - 1. assign V016309 = V472752 - 1. assign V727521 = V704110 - 1. assign V380770 = V685439 + 1. assign V867377 = V114242. assign V647249 = V658173. assign V262988 = V446042 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV685439 = 4;\n\nFrom these direct assignment(s), we have: \nV380770 = V685439 + 1 = 4 + 1 =5;\nNo other variables can be derived from V380770;\nNo other variables can be derived from V685439;\n\nNow we have done all the calculations. Derived variables are:\nV685439 = 4;\nV380770 = 5;\n\nNow we have finished this problem. ANSWER:\nV685439\n", "role": "assistant" } ]

[ "V967109", "V087396" ]

[ { "content": "<context>\nassign V967109 = 2. assign V518684 = V978512. assign V216232 = V179577 - 1. assign V420056 = V857232 + 1. assign V743890 = V114277 - 1. assign V110898 = V978512 + 1. assign V849510 = V660450. assign V125121 = V978512 + 1. assign V724195 = V404063. assign V435874 = V079821 - 1. assign V124115 = V960084. assign V802901 = V079821. assign V981025 = V660450 + 1. assign V744309 = V960084 + 1. assign V179577 = V960084. assign V335273 = V527867. assign V840901 = V075091. assign V994119 = V125121 - 1. assign V527867 = V107093 - 1. assign V114277 = V651603 - 1. assign V404063 = V068857. assign V202093 = V478295 - 1. assign V901224 = V857232 - 1. assign V004495 = V293970 + 1. assign V170734 = V692886. assign V942797 = V464641 - 1. assign V893118 = V744309. assign V546736 = V426264 - 1. assign V062720 = V743890. assign V079821 = V010516. assign V523666 = V085672 + 1. assign V079940 = V193423 - 1. assign V426264 = V316833 + 1. assign V332274 = V404063 + 1. assign V901337 = V416957. assign V361751 = V075091. assign V705679 = V079821 + 1. assign V085672 = V316833. assign V293970 = V404063 + 1. assign V528750 = V307123. assign V780950 = V857232. assign V307123 = V857232 - 1. assign V682956 = V446818 + 1. assign V099264 = V335273. assign V992494 = V172729 + 1. assign V010516 = V978512. assign V333505 = V028038. assign V734639 = V179577 - 1. assign V234453 = V518684. assign V235495 = V124115 - 1. assign V692886 = V660450 + 1. assign V464641 = V528750 + 1. assign V926741 = V404063 + 1. assign V107093 = V978512 + 1. assign V000756 = V981025 - 1. assign V573270 = V216232 + 1. assign V929755 = V420056 - 1. assign V120088 = V651603 + 1. assign V316833 = V416957. assign V446818 = V010516 - 1. assign V660450 = V960084. assign V470032 = V382051 - 1. assign V382051 = V893118 + 1. assign V023453 = V125121. assign V651603 = V416957 + 1. assign V172729 = V179577. assign V068857 = V416957 - 1. assign V218889 = V382119 - 1. assign V478295 = V530162. assign V614639 = V404063. assign V211195 = V124115 + 1. assign V960084 = V307123. assign V416957 = V978512. assign V075091 = V960084. assign V008667 = V420056 - 1. assign V087396 = V967109. assign V901382 = V000756. assign V382119 = V857232. assign V028038 = V528750. assign V530162 = V307123. assign V193423 = V705679 + 1. assign V978512 = V857232 + 1. assign V151796 = V193423. assign V875941 = V705679. assign V017496 = V107093. assign V877997 = V028038 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V967109 = 2. assign V518684 = V978512. assign V216232 = V179577 - 1. assign V420056 = V857232 + 1. assign V743890 = V114277 - 1. assign V110898 = V978512 + 1. assign V849510 = V660450. assign V125121 = V978512 + 1. assign V724195 = V404063. assign V435874 = V079821 - 1. assign V124115 = V960084. assign V802901 = V079821. assign V981025 = V660450 + 1. assign V744309 = V960084 + 1. assign V179577 = V960084. assign V335273 = V527867. assign V840901 = V075091. assign V994119 = V125121 - 1. assign V527867 = V107093 - 1. assign V114277 = V651603 - 1. assign V404063 = V068857. assign V202093 = V478295 - 1. assign V901224 = V857232 - 1. assign V004495 = V293970 + 1. assign V170734 = V692886. assign V942797 = V464641 - 1. assign V893118 = V744309. assign V546736 = V426264 - 1. assign V062720 = V743890. assign V079821 = V010516. assign V523666 = V085672 + 1. assign V079940 = V193423 - 1. assign V426264 = V316833 + 1. assign V332274 = V404063 + 1. assign V901337 = V416957. assign V361751 = V075091. assign V705679 = V079821 + 1. assign V085672 = V316833. assign V293970 = V404063 + 1. assign V528750 = V307123. assign V780950 = V857232. assign V307123 = V857232 - 1. assign V682956 = V446818 + 1. assign V099264 = V335273. assign V992494 = V172729 + 1. assign V010516 = V978512. assign V333505 = V028038. assign V734639 = V179577 - 1. assign V234453 = V518684. assign V235495 = V124115 - 1. assign V692886 = V660450 + 1. assign V464641 = V528750 + 1. assign V926741 = V404063 + 1. assign V107093 = V978512 + 1. assign V000756 = V981025 - 1. assign V573270 = V216232 + 1. assign V929755 = V420056 - 1. assign V120088 = V651603 + 1. assign V316833 = V416957. assign V446818 = V010516 - 1. assign V660450 = V960084. assign V470032 = V382051 - 1. assign V382051 = V893118 + 1. assign V023453 = V125121. assign V651603 = V416957 + 1. assign V172729 = V179577. assign V068857 = V416957 - 1. assign V218889 = V382119 - 1. assign V478295 = V530162. assign V614639 = V404063. assign V211195 = V124115 + 1. assign V960084 = V307123. assign V416957 = V978512. assign V075091 = V960084. assign V008667 = V420056 - 1. assign V087396 = V967109. assign V901382 = V000756. assign V382119 = V857232. assign V028038 = V528750. assign V530162 = V307123. assign V193423 = V705679 + 1. assign V978512 = V857232 + 1. assign V151796 = V193423. assign V875941 = V705679. assign V017496 = V107093. assign V877997 = V028038 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV967109 = 2;\n\nFrom these direct assignment(s), we have: \nV087396 = V967109 = 2;\nNo other variables can be derived from V087396;\nNo other variables can be derived from V967109;\n\nNow we have done all the calculations. Derived variables are:\nV967109 = 2;\nV087396 = 2;\n\nNow we have finished this problem. ANSWER:\nV967109, V087396\n", "role": "assistant" } ]

[ "V900500" ]

[ { "content": "<context>\nassign V218379 = V441593 - 1. assign V929768 = V322760 + 1. assign V457988 = V117259 - 1. assign V560739 = V322760 + 1. assign V575497 = V939255 + 1. assign V249137 = V158307 - 1. assign V117259 = V560739 - 1. assign V785063 = V383540 - 1. assign V071382 = V637074 - 1. assign V452855 = V695496 + 1. assign V784464 = V631789 - 1. assign V517201 = V689620 - 1. assign V441593 = V070469. assign V778266 = V565679. assign V566893 = V381956. assign V758491 = V383540 - 1. assign V908780 = 7. assign V586308 = V190427 - 1. assign V936956 = V002176. assign V058682 = V689620. assign V322807 = V320521 + 1. assign V141954 = V675479. assign V320521 = V358987. assign V304529 = V117259 + 1. assign V538388 = V496228. assign V147159 = V758491 + 1. assign V637074 = V158307 - 1. assign V381956 = V320521 + 1. assign V070469 = V637074. assign V548021 = V190427 - 1. assign V971012 = V902668. assign V190427 = V496228. assign V043825 = V383540 - 1. assign V695496 = V560739. assign V064992 = V285575 - 1. assign V831946 = V249137. assign V980371 = V070469 + 1. assign V992758 = V979624 - 1. assign V765083 = V170770 - 1. assign V191474 = V637074 + 1. assign V142732 = V565679 + 1. assign V916711 = V322760 - 1. assign V595147 = V147159. assign V053077 = V002176 - 1. assign V020764 = V414199 - 1. assign V127976 = V675479 - 1. assign V733316 = V452855 + 1. assign V054777 = V158307. assign V181533 = V043825 + 1. assign V358987 = V631789. assign V383540 = V322760 - 1. assign V126907 = V285575 + 1. assign V902668 = V631789 - 1. assign V675479 = V785063 - 1. assign V880854 = V158307 + 1. assign V285575 = V158307 - 1. assign V671847 = V322760 - 1. assign V768905 = V689620 + 1. assign V509901 = V758491. assign V170770 = V173817 + 1. assign V939255 = V191474 + 1. assign V099062 = V191474. assign V350692 = V929768 + 1. assign V341012 = V548021 - 1. assign V070495 = V441593 - 1. assign V380785 = V358987 + 1. assign V073344 = V002176 - 1. assign V900500 = V908780 - 1. assign V821815 = V322760 + 1. assign V173817 = V496228 - 1. assign V136208 = V054777 + 1. assign V009316 = V689620 - 1. assign V655163 = V070469. assign V414199 = V071382. assign V826291 = V002176 - 1. assign V565679 = V249137. assign V496228 = V158307 + 1. assign V883830 = V320521 - 1. assign V002176 = V880854 + 1. assign V400194 = V979624. assign V979624 = V070469 - 1. assign V300809 = V358987 - 1. assign V631789 = V285575 + 1. assign V322760 = V070469. assign V882865 = V285575 - 1. assign V689620 = V880854 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V218379 = V441593 - 1. assign V929768 = V322760 + 1. assign V457988 = V117259 - 1. assign V560739 = V322760 + 1. assign V575497 = V939255 + 1. assign V249137 = V158307 - 1. assign V117259 = V560739 - 1. assign V785063 = V383540 - 1. assign V071382 = V637074 - 1. assign V452855 = V695496 + 1. assign V784464 = V631789 - 1. assign V517201 = V689620 - 1. assign V441593 = V070469. assign V778266 = V565679. assign V566893 = V381956. assign V758491 = V383540 - 1. assign V908780 = 7. assign V586308 = V190427 - 1. assign V936956 = V002176. assign V058682 = V689620. assign V322807 = V320521 + 1. assign V141954 = V675479. assign V320521 = V358987. assign V304529 = V117259 + 1. assign V538388 = V496228. assign V147159 = V758491 + 1. assign V637074 = V158307 - 1. assign V381956 = V320521 + 1. assign V070469 = V637074. assign V548021 = V190427 - 1. assign V971012 = V902668. assign V190427 = V496228. assign V043825 = V383540 - 1. assign V695496 = V560739. assign V064992 = V285575 - 1. assign V831946 = V249137. assign V980371 = V070469 + 1. assign V992758 = V979624 - 1. assign V765083 = V170770 - 1. assign V191474 = V637074 + 1. assign V142732 = V565679 + 1. assign V916711 = V322760 - 1. assign V595147 = V147159. assign V053077 = V002176 - 1. assign V020764 = V414199 - 1. assign V127976 = V675479 - 1. assign V733316 = V452855 + 1. assign V054777 = V158307. assign V181533 = V043825 + 1. assign V358987 = V631789. assign V383540 = V322760 - 1. assign V126907 = V285575 + 1. assign V902668 = V631789 - 1. assign V675479 = V785063 - 1. assign V880854 = V158307 + 1. assign V285575 = V158307 - 1. assign V671847 = V322760 - 1. assign V768905 = V689620 + 1. assign V509901 = V758491. assign V170770 = V173817 + 1. assign V939255 = V191474 + 1. assign V099062 = V191474. assign V350692 = V929768 + 1. assign V341012 = V548021 - 1. assign V070495 = V441593 - 1. assign V380785 = V358987 + 1. assign V073344 = V002176 - 1. assign V900500 = V908780 - 1. assign V821815 = V322760 + 1. assign V173817 = V496228 - 1. assign V136208 = V054777 + 1. assign V009316 = V689620 - 1. assign V655163 = V070469. assign V414199 = V071382. assign V826291 = V002176 - 1. assign V565679 = V249137. assign V496228 = V158307 + 1. assign V883830 = V320521 - 1. assign V002176 = V880854 + 1. assign V400194 = V979624. assign V979624 = V070469 - 1. assign V300809 = V358987 - 1. assign V631789 = V285575 + 1. assign V322760 = V070469. assign V882865 = V285575 - 1. assign V689620 = V880854 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV908780 = 7;\n\nFrom these direct assignment(s), we have: \nV900500 = V908780 - 1 = 7 - 1 =6;\nNo other variables can be derived from V900500;\nNo other variables can be derived from V908780;\n\nNow we have done all the calculations. Derived variables are:\nV908780 = 7;\nV900500 = 6;\n\nNow we have finished this problem. ANSWER:\nV900500\n", "role": "assistant" } ]

[ "V010281" ]

[ { "content": "<context>\nassign V488863 = V584482 + 1. assign V986770 = V650509 - 1. assign V767995 = V363169. assign V583435 = V584482 - 1. assign V067349 = V343718. assign V443711 = V488863 - 1. assign V632908 = V320226. assign V919225 = V356730 - 1. assign V964762 = V584482. assign V054103 = V459228 - 1. assign V698041 = V381661. assign V924946 = V356730. assign V646809 = V320226. assign V327951 = V136177 + 1. assign V426773 = V901994 + 1. assign V394080 = V054103 - 1. assign V246289 = V670741 + 1. assign V459228 = V309296 + 1. assign V475541 = V951143 + 1. assign V320168 = V447750 - 1. assign V628108 = V964762 + 1. assign V571356 = V710988 - 1. assign V259754 = V820660 - 1. assign V372113 = V348750 - 1. assign V343718 = V426773 + 1. assign V348750 = V488863 - 1. assign V163979 = V628108 + 1. assign V010281 = V783723 + 1. assign V105586 = V976607 + 1. assign V724178 = V343718 + 1. assign V170940 = V447750. assign V670741 = V488863. assign V308935 = V767995 - 1. assign V020880 = V901994. assign V091840 = V459228. assign V519285 = V530179 + 1. assign V838952 = V820660. assign V298611 = V696100. assign V197509 = V650509. assign V530501 = V628108 + 1. assign V082050 = V246289 + 1. assign V951143 = V381661. assign V351287 = V650509. assign V190322 = V054103 - 1. assign V474041 = V054103 - 1. assign V993992 = V320168. assign V136177 = V163979 - 1. assign V424398 = V584482 + 1. assign V901994 = V951143 - 1. assign V298580 = V170940. assign V356730 = V518133 - 1. assign V061424 = V530179. assign V481428 = V020880 + 1. assign V320226 = V901994 - 1. assign V976607 = V584482. assign V934936 = V488863. assign V428419 = V820660 + 1. assign V518133 = V381661 + 1. assign V650509 = V163979 + 1. assign V584482 = V901994 - 1. assign V447750 = V320226 + 1. assign V783723 = 3. assign V820660 = V584482 - 1. assign V817419 = V488863 + 1. assign V112544 = V309296 - 1. assign V465116 = V163979 + 1. assign V562507 = V426773 - 1. assign V981587 = V246289 + 1. assign V530179 = V584482. assign V710988 = V724026. assign V421536 = V976607. assign V908695 = V163979. assign V696100 = V320226 - 1. assign V724026 = V270840. assign V533841 = V632908 + 1. assign V270840 = V584482 - 1. assign V307563 = V197509. assign V580388 = V488863 - 1. assign V341802 = V363169 - 1. assign V191203 = V710988 + 1. assign V363169 = V190322 + 1. assign V149116 = V343718. assign V405012 = V190322 - 1. assign V033653 = V963584 - 1. assign V963584 = V459228. assign V309296 = V670741 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V488863 = V584482 + 1. assign V986770 = V650509 - 1. assign V767995 = V363169. assign V583435 = V584482 - 1. assign V067349 = V343718. assign V443711 = V488863 - 1. assign V632908 = V320226. assign V919225 = V356730 - 1. assign V964762 = V584482. assign V054103 = V459228 - 1. assign V698041 = V381661. assign V924946 = V356730. assign V646809 = V320226. assign V327951 = V136177 + 1. assign V426773 = V901994 + 1. assign V394080 = V054103 - 1. assign V246289 = V670741 + 1. assign V459228 = V309296 + 1. assign V475541 = V951143 + 1. assign V320168 = V447750 - 1. assign V628108 = V964762 + 1. assign V571356 = V710988 - 1. assign V259754 = V820660 - 1. assign V372113 = V348750 - 1. assign V343718 = V426773 + 1. assign V348750 = V488863 - 1. assign V163979 = V628108 + 1. assign V010281 = V783723 + 1. assign V105586 = V976607 + 1. assign V724178 = V343718 + 1. assign V170940 = V447750. assign V670741 = V488863. assign V308935 = V767995 - 1. assign V020880 = V901994. assign V091840 = V459228. assign V519285 = V530179 + 1. assign V838952 = V820660. assign V298611 = V696100. assign V197509 = V650509. assign V530501 = V628108 + 1. assign V082050 = V246289 + 1. assign V951143 = V381661. assign V351287 = V650509. assign V190322 = V054103 - 1. assign V474041 = V054103 - 1. assign V993992 = V320168. assign V136177 = V163979 - 1. assign V424398 = V584482 + 1. assign V901994 = V951143 - 1. assign V298580 = V170940. assign V356730 = V518133 - 1. assign V061424 = V530179. assign V481428 = V020880 + 1. assign V320226 = V901994 - 1. assign V976607 = V584482. assign V934936 = V488863. assign V428419 = V820660 + 1. assign V518133 = V381661 + 1. assign V650509 = V163979 + 1. assign V584482 = V901994 - 1. assign V447750 = V320226 + 1. assign V783723 = 3. assign V820660 = V584482 - 1. assign V817419 = V488863 + 1. assign V112544 = V309296 - 1. assign V465116 = V163979 + 1. assign V562507 = V426773 - 1. assign V981587 = V246289 + 1. assign V530179 = V584482. assign V710988 = V724026. assign V421536 = V976607. assign V908695 = V163979. assign V696100 = V320226 - 1. assign V724026 = V270840. assign V533841 = V632908 + 1. assign V270840 = V584482 - 1. assign V307563 = V197509. assign V580388 = V488863 - 1. assign V341802 = V363169 - 1. assign V191203 = V710988 + 1. assign V363169 = V190322 + 1. assign V149116 = V343718. assign V405012 = V190322 - 1. assign V033653 = V963584 - 1. assign V963584 = V459228. assign V309296 = V670741 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV783723 = 3;\n\nFrom these direct assignment(s), we have: \nV010281 = V783723 + 1 = 3 + 1 =4;\nNo other variables can be derived from V010281;\nNo other variables can be derived from V783723;\n\nNow we have done all the calculations. Derived variables are:\nV783723 = 3;\nV010281 = 4;\n\nNow we have finished this problem. ANSWER:\nV010281\n", "role": "assistant" } ]

[ "V685863", "V405823" ]

[ { "content": "<context>\nassign V782974 = V100057 + 1. assign V003023 = V536834 - 1. assign V026691 = V431064 - 1. assign V388332 = V322815 - 1. assign V105795 = V978878. assign V286913 = V583596 - 1. assign V511321 = V302301 + 1. assign V750229 = V211019 - 1. assign V636175 = V397169 - 1. assign V904655 = V691823 - 1. assign V076658 = V902451 + 1. assign V456326 = V918328. assign V557675 = V644543 - 1. assign V948190 = V397169 + 1. assign V486761 = V278929 + 1. assign V053903 = V902451. assign V819060 = V486761 - 1. assign V470639 = V388332. assign V970026 = V703733 + 1. assign V685863 = 10. assign V220810 = V278929 + 1. assign V731406 = V702528. assign V691823 = V723561 + 1. assign V902451 = V411408. assign V912663 = V302690 - 1. assign V583596 = V456326 - 1. assign V211019 = V339690 - 1. assign V978878 = V339690 - 1. assign V657632 = V344263 + 1. assign V517281 = V702528 + 1. assign V554407 = V623811. assign V510696 = V731406. assign V395860 = V456326. assign V536834 = V486761 - 1. assign V471407 = V528811 - 1. assign V458519 = V536834. assign V702528 = V494642 + 1. assign V572668 = V703733 + 1. assign V765480 = V110384 + 1. assign V322815 = V793113 - 1. assign V997363 = V344263 + 1. assign V371416 = V278929. assign V484424 = V904655 + 1. assign V763849 = V584504. assign V929156 = V486761 + 1. assign V723561 = V623811. assign V405823 = V685863. assign V784615 = V278929 - 1. assign V344263 = V278929. assign V414213 = V220810 - 1. assign V231995 = V278929 - 1. assign V623811 = V411408 + 1. assign V991053 = V083784 + 1. assign V528811 = V371416. assign V584504 = V494642. assign V453468 = V763849 - 1. assign V127396 = V702528. assign V687651 = V623811. assign V411408 = V819060 + 1. assign V397169 = V411408 + 1. assign V408403 = V486761 + 1. assign V339690 = V819060 - 1. assign V302690 = V344263. assign V732022 = V819060 + 1. assign V494642 = V322815 - 1. assign V918328 = V231995 + 1. assign V406986 = V388332. assign V881946 = V397169. assign V881606 = V702528 - 1. assign V793113 = V486761 + 1. assign V371419 = V431064 + 1. assign V239034 = V536834 - 1. assign V886743 = V584504 + 1. assign V349164 = V322815 + 1. assign V540196 = V408403 - 1. assign V354917 = V083784 + 1. assign V110384 = V819060. assign V083784 = V278929 - 1. assign V574351 = V978878. assign V863856 = V819060 - 1. assign V100057 = V970026. assign V644543 = V584504 - 1. assign V931084 = V511321 - 1. assign V431064 = V703733 + 1. assign V703733 = V784615 + 1. assign V302301 = V344263 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V782974 = V100057 + 1. assign V003023 = V536834 - 1. assign V026691 = V431064 - 1. assign V388332 = V322815 - 1. assign V105795 = V978878. assign V286913 = V583596 - 1. assign V511321 = V302301 + 1. assign V750229 = V211019 - 1. assign V636175 = V397169 - 1. assign V904655 = V691823 - 1. assign V076658 = V902451 + 1. assign V456326 = V918328. assign V557675 = V644543 - 1. assign V948190 = V397169 + 1. assign V486761 = V278929 + 1. assign V053903 = V902451. assign V819060 = V486761 - 1. assign V470639 = V388332. assign V970026 = V703733 + 1. assign V685863 = 10. assign V220810 = V278929 + 1. assign V731406 = V702528. assign V691823 = V723561 + 1. assign V902451 = V411408. assign V912663 = V302690 - 1. assign V583596 = V456326 - 1. assign V211019 = V339690 - 1. assign V978878 = V339690 - 1. assign V657632 = V344263 + 1. assign V517281 = V702528 + 1. assign V554407 = V623811. assign V510696 = V731406. assign V395860 = V456326. assign V536834 = V486761 - 1. assign V471407 = V528811 - 1. assign V458519 = V536834. assign V702528 = V494642 + 1. assign V572668 = V703733 + 1. assign V765480 = V110384 + 1. assign V322815 = V793113 - 1. assign V997363 = V344263 + 1. assign V371416 = V278929. assign V484424 = V904655 + 1. assign V763849 = V584504. assign V929156 = V486761 + 1. assign V723561 = V623811. assign V405823 = V685863. assign V784615 = V278929 - 1. assign V344263 = V278929. assign V414213 = V220810 - 1. assign V231995 = V278929 - 1. assign V623811 = V411408 + 1. assign V991053 = V083784 + 1. assign V528811 = V371416. assign V584504 = V494642. assign V453468 = V763849 - 1. assign V127396 = V702528. assign V687651 = V623811. assign V411408 = V819060 + 1. assign V397169 = V411408 + 1. assign V408403 = V486761 + 1. assign V339690 = V819060 - 1. assign V302690 = V344263. assign V732022 = V819060 + 1. assign V494642 = V322815 - 1. assign V918328 = V231995 + 1. assign V406986 = V388332. assign V881946 = V397169. assign V881606 = V702528 - 1. assign V793113 = V486761 + 1. assign V371419 = V431064 + 1. assign V239034 = V536834 - 1. assign V886743 = V584504 + 1. assign V349164 = V322815 + 1. assign V540196 = V408403 - 1. assign V354917 = V083784 + 1. assign V110384 = V819060. assign V083784 = V278929 - 1. assign V574351 = V978878. assign V863856 = V819060 - 1. assign V100057 = V970026. assign V644543 = V584504 - 1. assign V931084 = V511321 - 1. assign V431064 = V703733 + 1. assign V703733 = V784615 + 1. assign V302301 = V344263 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV685863 = 10;\n\nFrom these direct assignment(s), we have: \nV405823 = V685863 = 10;\nNo other variables can be derived from V405823;\nNo other variables can be derived from V685863;\n\nNow we have done all the calculations. Derived variables are:\nV685863 = 10;\nV405823 = 10;\n\nNow we have finished this problem. ANSWER:\nV685863, V405823\n", "role": "assistant" } ]

[ "V524427" ]

[ { "content": "<context>\nassign V134407 = V240668 + 1. assign V820481 = V460510 - 1. assign V763357 = V655162 + 1. assign V327422 = V304546 + 1. assign V867038 = V655162. assign V012443 = V284646 + 1. assign V251207 = V655162. assign V377184 = V012443 + 1. assign V855165 = V465453 - 1. assign V523893 = V240500. assign V947436 = V893857 + 1. assign V122617 = V084762. assign V207745 = V582594 - 1. assign V219797 = V582594 - 1. assign V735920 = V012443 + 1. assign V240668 = V240500. assign V685935 = V523893 - 1. assign V682834 = V645611 + 1. assign V370334 = V168898 - 1. assign V209560 = V497125. assign V231560 = V645611. assign V168898 = V384548 - 1. assign V836627 = V233611 + 1. assign V202503 = V168898. assign V571205 = V867038. assign V685844 = V497125 + 1. assign V140667 = V202503 - 1. assign V119634 = V855165. assign V779017 = V012443 - 1. assign V073028 = V867038 - 1. assign V634225 = V084762 - 1. assign V994192 = V859559 + 1. assign V352284 = V429287. assign V602707 = V537054 - 1. assign V046992 = V682834 - 1. assign V645611 = V981458. assign V233611 = V859559 + 1. assign V859559 = V537054 + 1. assign V429287 = V233611 - 1. assign V898305 = 1. assign V047802 = V994192 - 1. assign V655162 = V856427 - 1. assign V240500 = V465453 - 1. assign V918380 = V270402 - 1. assign V284646 = V251207. assign V856427 = V537054 + 1. assign V537054 = V465453 - 1. assign V940239 = V284646 + 1. assign V106300 = V158955 - 1. assign V839916 = V497125. assign V158955 = V240500. assign V490472 = V928639 + 1. assign V749116 = V645611 - 1. assign V732404 = V645611 + 1. assign V484740 = V240500 - 1. assign V384548 = V240500 - 1. assign V298288 = V893857 - 1. assign V309713 = V909346. assign V524427 = V898305 + 1. assign V813769 = V571205 + 1. assign V981458 = V537054. assign V218351 = V084762 - 1. assign V796185 = V867038 + 1. assign V313429 = V685844 - 1. assign V472241 = V520840 + 1. assign V071636 = V622117 - 1. assign V582594 = V655162 - 1. assign V873444 = V856427 - 1. assign V497125 = V873444. assign V487980 = V084762 + 1. assign V893857 = V240500 - 1. assign V151585 = V370334 - 1. assign V928639 = V645611 - 1. assign V154264 = V523893. assign V460510 = V994192. assign V520840 = V154264 + 1. assign V246926 = V898008 + 1. assign V270402 = V251207 + 1. assign V304546 = V465453 + 1. assign V081853 = V304546. assign V909346 = V460510. assign V990524 = V484740 + 1. assign V785095 = V284646. assign V084762 = V685844 - 1. assign V622117 = V218351. assign V898008 = V682834 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V134407 = V240668 + 1. assign V820481 = V460510 - 1. assign V763357 = V655162 + 1. assign V327422 = V304546 + 1. assign V867038 = V655162. assign V012443 = V284646 + 1. assign V251207 = V655162. assign V377184 = V012443 + 1. assign V855165 = V465453 - 1. assign V523893 = V240500. assign V947436 = V893857 + 1. assign V122617 = V084762. assign V207745 = V582594 - 1. assign V219797 = V582594 - 1. assign V735920 = V012443 + 1. assign V240668 = V240500. assign V685935 = V523893 - 1. assign V682834 = V645611 + 1. assign V370334 = V168898 - 1. assign V209560 = V497125. assign V231560 = V645611. assign V168898 = V384548 - 1. assign V836627 = V233611 + 1. assign V202503 = V168898. assign V571205 = V867038. assign V685844 = V497125 + 1. assign V140667 = V202503 - 1. assign V119634 = V855165. assign V779017 = V012443 - 1. assign V073028 = V867038 - 1. assign V634225 = V084762 - 1. assign V994192 = V859559 + 1. assign V352284 = V429287. assign V602707 = V537054 - 1. assign V046992 = V682834 - 1. assign V645611 = V981458. assign V233611 = V859559 + 1. assign V859559 = V537054 + 1. assign V429287 = V233611 - 1. assign V898305 = 1. assign V047802 = V994192 - 1. assign V655162 = V856427 - 1. assign V240500 = V465453 - 1. assign V918380 = V270402 - 1. assign V284646 = V251207. assign V856427 = V537054 + 1. assign V537054 = V465453 - 1. assign V940239 = V284646 + 1. assign V106300 = V158955 - 1. assign V839916 = V497125. assign V158955 = V240500. assign V490472 = V928639 + 1. assign V749116 = V645611 - 1. assign V732404 = V645611 + 1. assign V484740 = V240500 - 1. assign V384548 = V240500 - 1. assign V298288 = V893857 - 1. assign V309713 = V909346. assign V524427 = V898305 + 1. assign V813769 = V571205 + 1. assign V981458 = V537054. assign V218351 = V084762 - 1. assign V796185 = V867038 + 1. assign V313429 = V685844 - 1. assign V472241 = V520840 + 1. assign V071636 = V622117 - 1. assign V582594 = V655162 - 1. assign V873444 = V856427 - 1. assign V497125 = V873444. assign V487980 = V084762 + 1. assign V893857 = V240500 - 1. assign V151585 = V370334 - 1. assign V928639 = V645611 - 1. assign V154264 = V523893. assign V460510 = V994192. assign V520840 = V154264 + 1. assign V246926 = V898008 + 1. assign V270402 = V251207 + 1. assign V304546 = V465453 + 1. assign V081853 = V304546. assign V909346 = V460510. assign V990524 = V484740 + 1. assign V785095 = V284646. assign V084762 = V685844 - 1. assign V622117 = V218351. assign V898008 = V682834 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV898305 = 1;\n\nFrom these direct assignment(s), we have: \nV524427 = V898305 + 1 = 1 + 1 =2;\nNo other variables can be derived from V524427;\nNo other variables can be derived from V898305;\n\nNow we have done all the calculations. Derived variables are:\nV898305 = 1;\nV524427 = 2;\n\nNow we have finished this problem. ANSWER:\nV524427\n", "role": "assistant" } ]

[ "V536843", "V950009" ]

[ { "content": "<context>\nassign V587573 = V343080 - 1. assign V904053 = V696725 - 1. assign V165609 = V238448. assign V666851 = V328348 - 1. assign V469216 = V675751 + 1. assign V990352 = V286407. assign V011379 = V741200. assign V374436 = V212791 - 1. assign V817614 = V171969 - 1. assign V238448 = V675751 - 1. assign V179631 = V596923 - 1. assign V596923 = V814344 + 1. assign V775795 = V557604 + 1. assign V536843 = 10. assign V882346 = V899793 + 1. assign V374574 = V026750 - 1. assign V321464 = V286407 + 1. assign V008094 = V559743 - 1. assign V675751 = V273591 + 1. assign V132910 = V754763 - 1. assign V420242 = V273591 + 1. assign V739177 = V558765 + 1. assign V171969 = V503068 - 1. assign V092357 = V469216. assign V090529 = V254546 - 1. assign V362610 = V060483. assign V466702 = V316553 + 1. assign V838508 = V567831 + 1. assign V899793 = V343080 - 1. assign V130679 = V903152 + 1. assign V596086 = V171969. assign V559743 = V741200. assign V361244 = V675751 + 1. assign V883162 = V416148 - 1. assign V622163 = V990352 - 1. assign V814344 = V362610 - 1. assign V416148 = V668284 - 1. assign V567831 = V596923 + 1. assign V557604 = V184143 - 1. assign V050699 = V420242 - 1. assign V129778 = V596923 - 1. assign V184143 = V273591 + 1. assign V788565 = V362610 - 1. assign V066605 = V788565 + 1. assign V664103 = V286407 - 1. assign V344571 = V321464 + 1. assign V903152 = V362610 + 1. assign V653660 = V503068 - 1. assign V254546 = V559743 - 1. assign V273591 = V696725 - 1. assign V400502 = V171969. assign V810957 = V286407 - 1. assign V558765 = V362610. assign V212791 = V814344. assign V316553 = V903152 - 1. assign V717333 = V420242 - 1. assign V605184 = V596923 + 1. assign V985737 = V696725. assign V318164 = V273591 - 1. assign V668284 = V696725 + 1. assign V343080 = V985737 + 1. assign V252074 = V362610 + 1. assign V844107 = V286407 + 1. assign V950009 = V536843. assign V754763 = V664103. assign V286407 = V696725. assign V352662 = V587573 - 1. assign V744985 = V026750 + 1. assign V919742 = V739177 + 1. assign V503068 = V696725 - 1. assign V281546 = V050699 - 1. assign V388448 = V361244 - 1. assign V359801 = V254546 + 1. assign V328348 = V664103 - 1. assign V934863 = V092357. assign V092052 = V165609 + 1. assign V823434 = V273591 - 1. assign V741200 = V316553 - 1. assign V732223 = V321464. assign V156583 = V557604. assign V467521 = V359801 + 1. assign V026750 = V503068 - 1. assign V188040 = V416148 - 1. assign V371038 = V212791 + 1. assign V696725 = V060483. assign V325111 = V286407.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V587573 = V343080 - 1. assign V904053 = V696725 - 1. assign V165609 = V238448. assign V666851 = V328348 - 1. assign V469216 = V675751 + 1. assign V990352 = V286407. assign V011379 = V741200. assign V374436 = V212791 - 1. assign V817614 = V171969 - 1. assign V238448 = V675751 - 1. assign V179631 = V596923 - 1. assign V596923 = V814344 + 1. assign V775795 = V557604 + 1. assign V536843 = 10. assign V882346 = V899793 + 1. assign V374574 = V026750 - 1. assign V321464 = V286407 + 1. assign V008094 = V559743 - 1. assign V675751 = V273591 + 1. assign V132910 = V754763 - 1. assign V420242 = V273591 + 1. assign V739177 = V558765 + 1. assign V171969 = V503068 - 1. assign V092357 = V469216. assign V090529 = V254546 - 1. assign V362610 = V060483. assign V466702 = V316553 + 1. assign V838508 = V567831 + 1. assign V899793 = V343080 - 1. assign V130679 = V903152 + 1. assign V596086 = V171969. assign V559743 = V741200. assign V361244 = V675751 + 1. assign V883162 = V416148 - 1. assign V622163 = V990352 - 1. assign V814344 = V362610 - 1. assign V416148 = V668284 - 1. assign V567831 = V596923 + 1. assign V557604 = V184143 - 1. assign V050699 = V420242 - 1. assign V129778 = V596923 - 1. assign V184143 = V273591 + 1. assign V788565 = V362610 - 1. assign V066605 = V788565 + 1. assign V664103 = V286407 - 1. assign V344571 = V321464 + 1. assign V903152 = V362610 + 1. assign V653660 = V503068 - 1. assign V254546 = V559743 - 1. assign V273591 = V696725 - 1. assign V400502 = V171969. assign V810957 = V286407 - 1. assign V558765 = V362610. assign V212791 = V814344. assign V316553 = V903152 - 1. assign V717333 = V420242 - 1. assign V605184 = V596923 + 1. assign V985737 = V696725. assign V318164 = V273591 - 1. assign V668284 = V696725 + 1. assign V343080 = V985737 + 1. assign V252074 = V362610 + 1. assign V844107 = V286407 + 1. assign V950009 = V536843. assign V754763 = V664103. assign V286407 = V696725. assign V352662 = V587573 - 1. assign V744985 = V026750 + 1. assign V919742 = V739177 + 1. assign V503068 = V696725 - 1. assign V281546 = V050699 - 1. assign V388448 = V361244 - 1. assign V359801 = V254546 + 1. assign V328348 = V664103 - 1. assign V934863 = V092357. assign V092052 = V165609 + 1. assign V823434 = V273591 - 1. assign V741200 = V316553 - 1. assign V732223 = V321464. assign V156583 = V557604. assign V467521 = V359801 + 1. assign V026750 = V503068 - 1. assign V188040 = V416148 - 1. assign V371038 = V212791 + 1. assign V696725 = V060483. assign V325111 = V286407.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV536843 = 10;\n\nFrom these direct assignment(s), we have: \nV950009 = V536843 = 10;\nNo other variables can be derived from V950009;\nNo other variables can be derived from V536843;\n\nNow we have done all the calculations. Derived variables are:\nV536843 = 10;\nV950009 = 10;\n\nNow we have finished this problem. ANSWER:\nV536843, V950009\n", "role": "assistant" } ]

[ "V998949" ]

[ { "content": "<context>\nassign V592948 = V799374 + 1. assign V670644 = V786254 + 1. assign V370977 = V730888 - 1. assign V063527 = V107461 + 1. assign V786254 = V730888 + 1. assign V793815 = V556084 + 1. assign V183227 = V834927 + 1. assign V984826 = V125918 - 1. assign V264206 = V657868. assign V432562 = V629783 + 1. assign V962717 = V914863. assign V550049 = V962717 - 1. assign V099407 = V395421. assign V914863 = V168769 + 1. assign V488718 = V519911 - 1. assign V168769 = V981895. assign V090740 = V114588 - 1. assign V302040 = V670644 + 1. assign V276044 = V730888 + 1. assign V144555 = V159596 + 1. assign V224226 = V550049 - 1. assign V882826 = V592948. assign V221678 = V254486 + 1. assign V062367 = V601461. assign V472669 = V094005 - 1. assign V464137 = V062367 - 1. assign V981895 = V799374 + 1. assign V164559 = V592948 + 1. assign V168727 = V568663 + 1. assign V436626 = V168769. assign V601461 = V556084. assign V395421 = V592948 - 1. assign V112287 = V962717 + 1. assign V156060 = V568663 + 1. assign V230830 = V168727. assign V294714 = V592948 - 1. assign V450337 = V436626 + 1. assign V022724 = V662817 + 1. assign V224689 = V395421 - 1. assign V834927 = V592948 - 1. assign V423223 = V657868 + 1. assign V267245 = V284799 - 1. assign V751518 = V423223 + 1. assign V629783 = V282300 - 1. assign V954709 = V204178 - 1. assign V125918 = V164559 - 1. assign V466634 = V204178 - 1. assign V662817 = V547230 - 1. assign V985351 = V227993 + 1. assign V126381 = V519911. assign V600757 = V264206 + 1. assign V957730 = V395421. assign V943534 = V914863. assign V556084 = V224226 + 1. assign V568663 = V592948 + 1. assign V996258 = V799374. assign V204178 = V662817. assign V844619 = V282300 + 1. assign V998949 = V483472 + 1. assign V107461 = V730888 - 1. assign V962020 = V799374. assign V169900 = V799374. assign V064017 = V568663. assign V672839 = V730888 - 1. assign V685097 = V254486 - 1. assign V021982 = V466634 + 1. assign V730888 = V254486 - 1. assign V483472 = 2. assign V284799 = V423223. assign V445832 = V432562 - 1. assign V547230 = V254486. assign V227993 = V168727. assign V692185 = V107461. assign V770681 = V094005. assign V524452 = V114588 - 1. assign V114588 = V996258 + 1. assign V519911 = V284799. assign V330079 = V099407 - 1. assign V159596 = V568663 - 1. assign V254486 = V799374 + 1. assign V824178 = V914863. assign V094005 = V996258 - 1. assign V515470 = V962717 + 1. assign V657868 = V981895. assign V282300 = V751518 + 1. assign V903310 = V996258 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V592948 = V799374 + 1. assign V670644 = V786254 + 1. assign V370977 = V730888 - 1. assign V063527 = V107461 + 1. assign V786254 = V730888 + 1. assign V793815 = V556084 + 1. assign V183227 = V834927 + 1. assign V984826 = V125918 - 1. assign V264206 = V657868. assign V432562 = V629783 + 1. assign V962717 = V914863. assign V550049 = V962717 - 1. assign V099407 = V395421. assign V914863 = V168769 + 1. assign V488718 = V519911 - 1. assign V168769 = V981895. assign V090740 = V114588 - 1. assign V302040 = V670644 + 1. assign V276044 = V730888 + 1. assign V144555 = V159596 + 1. assign V224226 = V550049 - 1. assign V882826 = V592948. assign V221678 = V254486 + 1. assign V062367 = V601461. assign V472669 = V094005 - 1. assign V464137 = V062367 - 1. assign V981895 = V799374 + 1. assign V164559 = V592948 + 1. assign V168727 = V568663 + 1. assign V436626 = V168769. assign V601461 = V556084. assign V395421 = V592948 - 1. assign V112287 = V962717 + 1. assign V156060 = V568663 + 1. assign V230830 = V168727. assign V294714 = V592948 - 1. assign V450337 = V436626 + 1. assign V022724 = V662817 + 1. assign V224689 = V395421 - 1. assign V834927 = V592948 - 1. assign V423223 = V657868 + 1. assign V267245 = V284799 - 1. assign V751518 = V423223 + 1. assign V629783 = V282300 - 1. assign V954709 = V204178 - 1. assign V125918 = V164559 - 1. assign V466634 = V204178 - 1. assign V662817 = V547230 - 1. assign V985351 = V227993 + 1. assign V126381 = V519911. assign V600757 = V264206 + 1. assign V957730 = V395421. assign V943534 = V914863. assign V556084 = V224226 + 1. assign V568663 = V592948 + 1. assign V996258 = V799374. assign V204178 = V662817. assign V844619 = V282300 + 1. assign V998949 = V483472 + 1. assign V107461 = V730888 - 1. assign V962020 = V799374. assign V169900 = V799374. assign V064017 = V568663. assign V672839 = V730888 - 1. assign V685097 = V254486 - 1. assign V021982 = V466634 + 1. assign V730888 = V254486 - 1. assign V483472 = 2. assign V284799 = V423223. assign V445832 = V432562 - 1. assign V547230 = V254486. assign V227993 = V168727. assign V692185 = V107461. assign V770681 = V094005. assign V524452 = V114588 - 1. assign V114588 = V996258 + 1. assign V519911 = V284799. assign V330079 = V099407 - 1. assign V159596 = V568663 - 1. assign V254486 = V799374 + 1. assign V824178 = V914863. assign V094005 = V996258 - 1. assign V515470 = V962717 + 1. assign V657868 = V981895. assign V282300 = V751518 + 1. assign V903310 = V996258 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV483472 = 2;\n\nFrom these direct assignment(s), we have: \nV998949 = V483472 + 1 = 2 + 1 =3;\nNo other variables can be derived from V998949;\nNo other variables can be derived from V483472;\n\nNow we have done all the calculations. Derived variables are:\nV483472 = 2;\nV998949 = 3;\n\nNow we have finished this problem. ANSWER:\nV998949\n", "role": "assistant" } ]

[ "V122959" ]

[ { "content": "<context>\nassign V667176 = V674958 + 1. assign V640087 = V068321. assign V637320 = V877898. assign V466516 = V877898 + 1. assign V537186 = V069839 + 1. assign V892608 = V637320 + 1. assign V068321 = V472706 + 1. assign V318901 = V012575 - 1. assign V538808 = V088774 + 1. assign V744350 = V197285 + 1. assign V667437 = V637320 + 1. assign V472706 = V266664. assign V833189 = V637320 + 1. assign V239016 = V822396 - 1. assign V853783 = V229763 + 1. assign V147974 = V667176 - 1. assign V012575 = V814386 - 1. assign V868387 = V239016. assign V003594 = V266664. assign V740042 = V186461. assign V653476 = V338433 - 1. assign V088774 = V637320 - 1. assign V611005 = V926269 - 1. assign V270635 = V122959 - 1. assign V123421 = V403770 + 1. assign V093725 = V833189. assign V399024 = V667437 - 1. assign V904360 = V673659 - 1. assign V179647 = V229763 - 1. assign V195483 = V653476 + 1. assign V773899 = V266664. assign V266664 = V662819 - 1. assign V612368 = V466516 - 1. assign V229763 = V833189 - 1. assign V792035 = V069839 + 1. assign V134386 = V403770 + 1. assign V069839 = V403770 + 1. assign V814386 = V667176 - 1. assign V613480 = V653476. assign V338433 = V833189. assign V906352 = V284908. assign V895311 = V239016 + 1. assign V230647 = V853783. assign V941429 = V612368 + 1. assign V186461 = V761188. assign V638936 = V318901. assign V284908 = V673659 + 1. assign V674958 = V305024. assign V305024 = V637320 - 1. assign V879715 = V662819 - 1. assign V105993 = V186461 - 1. assign V662819 = V197285. assign V902282 = V628469 + 1. assign V951305 = V186461 + 1. assign V761188 = V877898 - 1. assign V237278 = V105993 + 1. assign V562894 = V904360 + 1. assign V169463 = V366598 + 1. assign V403770 = V667437. assign V673659 = V584261. assign V584261 = V877898 + 1. assign V110993 = V284908 - 1. assign V216392 = V822396 - 1. assign V089126 = V637320. assign V328498 = V093725 - 1. assign V197285 = V667437 + 1. assign V926269 = V466516. assign V761477 = V761188 + 1. assign V377952 = V081147 - 1. assign V312091 = V088774 - 1. assign V366598 = V089126 - 1. assign V822396 = V667437 - 1. assign V628469 = V466516. assign V632982 = V509815 + 1. assign V081147 = V868387. assign V998461 = V229763 - 1. assign V122959 = 8. assign V509815 = V674958 + 1. assign V814188 = V761188. assign V655686 = V216392 + 1. assign V822670 = V068321 + 1. assign V518017 = V892608 + 1. assign V068772 = V186461. assign V436619 = V338433 - 1. assign V182381 = V628469. assign V185455 = V537186 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V667176 = V674958 + 1. assign V640087 = V068321. assign V637320 = V877898. assign V466516 = V877898 + 1. assign V537186 = V069839 + 1. assign V892608 = V637320 + 1. assign V068321 = V472706 + 1. assign V318901 = V012575 - 1. assign V538808 = V088774 + 1. assign V744350 = V197285 + 1. assign V667437 = V637320 + 1. assign V472706 = V266664. assign V833189 = V637320 + 1. assign V239016 = V822396 - 1. assign V853783 = V229763 + 1. assign V147974 = V667176 - 1. assign V012575 = V814386 - 1. assign V868387 = V239016. assign V003594 = V266664. assign V740042 = V186461. assign V653476 = V338433 - 1. assign V088774 = V637320 - 1. assign V611005 = V926269 - 1. assign V270635 = V122959 - 1. assign V123421 = V403770 + 1. assign V093725 = V833189. assign V399024 = V667437 - 1. assign V904360 = V673659 - 1. assign V179647 = V229763 - 1. assign V195483 = V653476 + 1. assign V773899 = V266664. assign V266664 = V662819 - 1. assign V612368 = V466516 - 1. assign V229763 = V833189 - 1. assign V792035 = V069839 + 1. assign V134386 = V403770 + 1. assign V069839 = V403770 + 1. assign V814386 = V667176 - 1. assign V613480 = V653476. assign V338433 = V833189. assign V906352 = V284908. assign V895311 = V239016 + 1. assign V230647 = V853783. assign V941429 = V612368 + 1. assign V186461 = V761188. assign V638936 = V318901. assign V284908 = V673659 + 1. assign V674958 = V305024. assign V305024 = V637320 - 1. assign V879715 = V662819 - 1. assign V105993 = V186461 - 1. assign V662819 = V197285. assign V902282 = V628469 + 1. assign V951305 = V186461 + 1. assign V761188 = V877898 - 1. assign V237278 = V105993 + 1. assign V562894 = V904360 + 1. assign V169463 = V366598 + 1. assign V403770 = V667437. assign V673659 = V584261. assign V584261 = V877898 + 1. assign V110993 = V284908 - 1. assign V216392 = V822396 - 1. assign V089126 = V637320. assign V328498 = V093725 - 1. assign V197285 = V667437 + 1. assign V926269 = V466516. assign V761477 = V761188 + 1. assign V377952 = V081147 - 1. assign V312091 = V088774 - 1. assign V366598 = V089126 - 1. assign V822396 = V667437 - 1. assign V628469 = V466516. assign V632982 = V509815 + 1. assign V081147 = V868387. assign V998461 = V229763 - 1. assign V122959 = 8. assign V509815 = V674958 + 1. assign V814188 = V761188. assign V655686 = V216392 + 1. assign V822670 = V068321 + 1. assign V518017 = V892608 + 1. assign V068772 = V186461. assign V436619 = V338433 - 1. assign V182381 = V628469. assign V185455 = V537186 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV122959 = 8;\n\nFrom these direct assignment(s), we have: \nV270635 = V122959 - 1 = 8 - 1 =7;\nNo other variables can be derived from V270635;\nNo other variables can be derived from V122959;\n\nNow we have done all the calculations. Derived variables are:\nV122959 = 8;\nV270635 = 7;\n\nNow we have finished this problem. ANSWER:\nV122959\n", "role": "assistant" } ]

[ "V822473", "V928921" ]

[ { "content": "<context>\nassign V037599 = V336967 - 1. assign V108402 = V291745. assign V205547 = V139651 + 1. assign V241493 = V944088. assign V770532 = V356740 - 1. assign V070164 = V249363 + 1. assign V420856 = V437265. assign V727002 = V571700. assign V826194 = V008011 - 1. assign V364552 = V892742 - 1. assign V838171 = V108402. assign V571700 = V123149 + 1. assign V396835 = V571700. assign V194012 = V230187. assign V368309 = V205547. assign V125693 = V443697. assign V604460 = V497027. assign V320310 = V418843 - 1. assign V707770 = V739847 - 1. assign V443697 = V457876 + 1. assign V230187 = V291745 + 1. assign V944777 = V633003. assign V741588 = V681335. assign V301275 = V497027 + 1. assign V739847 = V457876 - 1. assign V638043 = V108402 - 1. assign V008011 = V604460. assign V315819 = V320310. assign V500789 = V024777 - 1. assign V808397 = V004465. assign V381246 = V638043 - 1. assign V011018 = V457876 - 1. assign V276082 = V834159 - 1. assign V004465 = V026928. assign V230470 = V291745. assign V390896 = V590651 - 1. assign V633003 = V638043. assign V291745 = V249363. assign V123149 = V834159 + 1. assign V892742 = V499065 + 1. assign V085343 = V291745 + 1. assign V398715 = V944088 - 1. assign V497027 = V320310 + 1. assign V026928 = V457876. assign V680877 = V638043 + 1. assign V857209 = V082829 - 1. assign V928921 = V822473. assign V542333 = V385825 + 1. assign V191521 = V139651. assign V723742 = V123149. assign V249720 = V301275. assign V457876 = V249363 + 1. assign V356740 = V834159 + 1. assign V351140 = V914675 - 1. assign V625769 = V707770. assign V378259 = V301275 - 1. assign V336967 = V443697 - 1. assign V418843 = V457876 - 1. assign V313650 = V291745 + 1. assign V560605 = V443697 + 1. assign V903152 = V139651 - 1. assign V024777 = V497027 - 1. assign V016866 = V356740 - 1. assign V914675 = V797485 - 1. assign V909877 = V437265 - 1. assign V797485 = V418843. assign V947390 = V571700 - 1. assign V822473 = 9. assign V139651 = V638043. assign V378600 = V315819. assign V364503 = V291745. assign V243097 = V739847 + 1. assign V499065 = V571700 + 1. assign V944088 = V217160 + 1. assign V437265 = V037599. assign V681335 = V396835 + 1. assign V727503 = V276082 - 1. assign V593222 = V320310 - 1. assign V590651 = V418843 + 1. assign V948769 = V381246 + 1. assign V217160 = V834159 + 1. assign V124681 = V004465 + 1. assign V359564 = V590651. assign V385825 = V243097. assign V082829 = V739847 + 1. assign V834159 = V443697 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V037599 = V336967 - 1. assign V108402 = V291745. assign V205547 = V139651 + 1. assign V241493 = V944088. assign V770532 = V356740 - 1. assign V070164 = V249363 + 1. assign V420856 = V437265. assign V727002 = V571700. assign V826194 = V008011 - 1. assign V364552 = V892742 - 1. assign V838171 = V108402. assign V571700 = V123149 + 1. assign V396835 = V571700. assign V194012 = V230187. assign V368309 = V205547. assign V125693 = V443697. assign V604460 = V497027. assign V320310 = V418843 - 1. assign V707770 = V739847 - 1. assign V443697 = V457876 + 1. assign V230187 = V291745 + 1. assign V944777 = V633003. assign V741588 = V681335. assign V301275 = V497027 + 1. assign V739847 = V457876 - 1. assign V638043 = V108402 - 1. assign V008011 = V604460. assign V315819 = V320310. assign V500789 = V024777 - 1. assign V808397 = V004465. assign V381246 = V638043 - 1. assign V011018 = V457876 - 1. assign V276082 = V834159 - 1. assign V004465 = V026928. assign V230470 = V291745. assign V390896 = V590651 - 1. assign V633003 = V638043. assign V291745 = V249363. assign V123149 = V834159 + 1. assign V892742 = V499065 + 1. assign V085343 = V291745 + 1. assign V398715 = V944088 - 1. assign V497027 = V320310 + 1. assign V026928 = V457876. assign V680877 = V638043 + 1. assign V857209 = V082829 - 1. assign V928921 = V822473. assign V542333 = V385825 + 1. assign V191521 = V139651. assign V723742 = V123149. assign V249720 = V301275. assign V457876 = V249363 + 1. assign V356740 = V834159 + 1. assign V351140 = V914675 - 1. assign V625769 = V707770. assign V378259 = V301275 - 1. assign V336967 = V443697 - 1. assign V418843 = V457876 - 1. assign V313650 = V291745 + 1. assign V560605 = V443697 + 1. assign V903152 = V139651 - 1. assign V024777 = V497027 - 1. assign V016866 = V356740 - 1. assign V914675 = V797485 - 1. assign V909877 = V437265 - 1. assign V797485 = V418843. assign V947390 = V571700 - 1. assign V822473 = 9. assign V139651 = V638043. assign V378600 = V315819. assign V364503 = V291745. assign V243097 = V739847 + 1. assign V499065 = V571700 + 1. assign V944088 = V217160 + 1. assign V437265 = V037599. assign V681335 = V396835 + 1. assign V727503 = V276082 - 1. assign V593222 = V320310 - 1. assign V590651 = V418843 + 1. assign V948769 = V381246 + 1. assign V217160 = V834159 + 1. assign V124681 = V004465 + 1. assign V359564 = V590651. assign V385825 = V243097. assign V082829 = V739847 + 1. assign V834159 = V443697 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV822473 = 9;\n\nFrom these direct assignment(s), we have: \nV928921 = V822473 = 9;\nNo other variables can be derived from V928921;\nNo other variables can be derived from V822473;\n\nNow we have done all the calculations. Derived variables are:\nV822473 = 9;\nV928921 = 9;\n\nNow we have finished this problem. ANSWER:\nV822473, V928921\n", "role": "assistant" } ]

[ "V352885", "V569259" ]

[ { "content": "<context>\nassign V661653 = V594098. assign V229177 = V190601. assign V074394 = V893460. assign V268775 = V880141 - 1. assign V566371 = V931977 + 1. assign V742416 = V338468 + 1. assign V408766 = V579101. assign V801332 = V092559 - 1. assign V553878 = V710254. assign V879104 = V041046 + 1. assign V697659 = V215308 - 1. assign V041046 = V553878 + 1. assign V190601 = V092559. assign V113874 = V579101 - 1. assign V940448 = V445689. assign V710254 = V092559 - 1. assign V569259 = V352885. assign V088616 = V710254 - 1. assign V680974 = V532808 - 1. assign V413354 = V190601. assign V223800 = V720535 + 1. assign V727322 = V268775. assign V440272 = V367320. assign V001658 = V455755 + 1. assign V482088 = V966801. assign V574563 = V878272. assign V743380 = V593525. assign V304726 = V697659. assign V760823 = V079641. assign V600849 = V092559. assign V617258 = V190601. assign V030423 = V727322 - 1. assign V445689 = V879104 + 1. assign V348816 = V742416. assign V079641 = V092559 + 1. assign V612129 = V902651 + 1. assign V404898 = V893460 + 1. assign V407980 = V710254. assign V880141 = V931977. assign V455755 = V268775 - 1. assign V732266 = V697659 + 1. assign V579101 = V594098 + 1. assign V678969 = V187501. assign V248924 = V662123 - 1. assign V881453 = V566371 - 1. assign V031883 = V413354 - 1. assign V532808 = V579101 - 1. assign V798192 = V113874 - 1. assign V645932 = V691411 + 1. assign V893460 = V880141 + 1. assign V874736 = V408766. assign V352885 = 0. assign V215308 = V190601 + 1. assign V178602 = V229177 + 1. assign V338468 = V600849 + 1. assign V367320 = V594098 + 1. assign V885734 = V355242. assign V837297 = V743380 + 1. assign V172899 = V041046 - 1. assign V969792 = V720535 - 1. assign V594098 = V092559 - 1. assign V662123 = V553878 + 1. assign V336529 = V662123. assign V966801 = V594098 + 1. assign V878272 = V893460 - 1. assign V691411 = V092559. assign V696936 = V001658 + 1. assign V187501 = V268775. assign V245342 = V594098 + 1. assign V046920 = V742416. assign V626510 = V678969 - 1. assign V355242 = V190601 - 1. assign V791196 = V001658 + 1. assign V593525 = V691411 - 1. assign V898395 = V645932. assign V320594 = V079641 - 1. assign V106645 = V268775. assign V690237 = V113874 + 1. assign V720535 = V031883 + 1. assign V843346 = V215308. assign V088960 = V579101. assign V314188 = V367320. assign V931977 = V579101 - 1. assign V346086 = V030423. assign V902651 = V190601 + 1. assign V772942 = V593525 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V661653 = V594098. assign V229177 = V190601. assign V074394 = V893460. assign V268775 = V880141 - 1. assign V566371 = V931977 + 1. assign V742416 = V338468 + 1. assign V408766 = V579101. assign V801332 = V092559 - 1. assign V553878 = V710254. assign V879104 = V041046 + 1. assign V697659 = V215308 - 1. assign V041046 = V553878 + 1. assign V190601 = V092559. assign V113874 = V579101 - 1. assign V940448 = V445689. assign V710254 = V092559 - 1. assign V569259 = V352885. assign V088616 = V710254 - 1. assign V680974 = V532808 - 1. assign V413354 = V190601. assign V223800 = V720535 + 1. assign V727322 = V268775. assign V440272 = V367320. assign V001658 = V455755 + 1. assign V482088 = V966801. assign V574563 = V878272. assign V743380 = V593525. assign V304726 = V697659. assign V760823 = V079641. assign V600849 = V092559. assign V617258 = V190601. assign V030423 = V727322 - 1. assign V445689 = V879104 + 1. assign V348816 = V742416. assign V079641 = V092559 + 1. assign V612129 = V902651 + 1. assign V404898 = V893460 + 1. assign V407980 = V710254. assign V880141 = V931977. assign V455755 = V268775 - 1. assign V732266 = V697659 + 1. assign V579101 = V594098 + 1. assign V678969 = V187501. assign V248924 = V662123 - 1. assign V881453 = V566371 - 1. assign V031883 = V413354 - 1. assign V532808 = V579101 - 1. assign V798192 = V113874 - 1. assign V645932 = V691411 + 1. assign V893460 = V880141 + 1. assign V874736 = V408766. assign V352885 = 0. assign V215308 = V190601 + 1. assign V178602 = V229177 + 1. assign V338468 = V600849 + 1. assign V367320 = V594098 + 1. assign V885734 = V355242. assign V837297 = V743380 + 1. assign V172899 = V041046 - 1. assign V969792 = V720535 - 1. assign V594098 = V092559 - 1. assign V662123 = V553878 + 1. assign V336529 = V662123. assign V966801 = V594098 + 1. assign V878272 = V893460 - 1. assign V691411 = V092559. assign V696936 = V001658 + 1. assign V187501 = V268775. assign V245342 = V594098 + 1. assign V046920 = V742416. assign V626510 = V678969 - 1. assign V355242 = V190601 - 1. assign V791196 = V001658 + 1. assign V593525 = V691411 - 1. assign V898395 = V645932. assign V320594 = V079641 - 1. assign V106645 = V268775. assign V690237 = V113874 + 1. assign V720535 = V031883 + 1. assign V843346 = V215308. assign V088960 = V579101. assign V314188 = V367320. assign V931977 = V579101 - 1. assign V346086 = V030423. assign V902651 = V190601 + 1. assign V772942 = V593525 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV352885 = 0;\n\nFrom these direct assignment(s), we have: \nV569259 = V352885 = 0;\nNo other variables can be derived from V569259;\nNo other variables can be derived from V352885;\n\nNow we have done all the calculations. Derived variables are:\nV352885 = 0;\nV569259 = 0;\n\nNow we have finished this problem. ANSWER:\nV352885, V569259\n", "role": "assistant" } ]

[ "V908084", "V030584" ]

[ { "content": "<context>\nassign V874022 = V352050 + 1. assign V764276 = V436947 - 1. assign V908084 = 4. assign V238680 = V778889 + 1. assign V778889 = V452389. assign V800440 = V337172 - 1. assign V128681 = V305836 + 1. assign V418116 = V048522 - 1. assign V551573 = V634824 - 1. assign V228123 = V305836 - 1. assign V292478 = V573168. assign V822678 = V435807. assign V504610 = V185414. assign V530646 = V228123. assign V004391 = V452389 - 1. assign V435807 = V994981. assign V920434 = V797044 + 1. assign V185414 = V435807. assign V969227 = V001687 - 1. assign V030584 = V908084. assign V797044 = V086351. assign V865790 = V972579. assign V535000 = V117068. assign V453209 = V944193 - 1. assign V429349 = V496583. assign V555470 = V512292. assign V001687 = V086351 - 1. assign V496583 = V778889. assign V403877 = V228123 + 1. assign V642695 = V496583 - 1. assign V879889 = V352050. assign V806294 = V787277. assign V512292 = V874022 + 1. assign V360707 = V879889. assign V316896 = V764276. assign V137836 = V117068 + 1. assign V975947 = V228123. assign V800922 = V429349. assign V070642 = V494846. assign V117068 = V465508 + 1. assign V494846 = V452389 - 1. assign V865387 = V879889. assign V416512 = V351960. assign V190924 = V496583. assign V049659 = V764276. assign V445270 = V414232 - 1. assign V994981 = V228123 - 1. assign V771956 = V086351. assign V972579 = V104455. assign V166091 = V573168. assign V351960 = V778889 - 1. assign V787277 = V634824. assign V316121 = V771956. assign V337172 = V573168. assign V359113 = V465508 + 1. assign V436947 = V004391. assign V086351 = V352050. assign V309113 = V414232. assign V048522 = V994981 - 1. assign V643654 = V496583 + 1. assign V675935 = V797044. assign V943879 = V764276 - 1. assign V807577 = V972579 - 1. assign V104455 = V436947. assign V332696 = V958656. assign V452389 = V305836 - 1. assign V958656 = V994981 + 1. assign V548203 = V643654. assign V666400 = V009375 + 1. assign V414232 = V435807. assign V263749 = V666400 + 1. assign V465508 = V228123 - 1. assign V406629 = V070642. assign V634824 = V436947. assign V009375 = V352050 - 1. assign V985892 = V009375. assign V352050 = V994981 - 1. assign V527589 = V778889 + 1. assign V391445 = V228123. assign V250641 = V807577 - 1. assign V057977 = V943879 - 1. assign V109424 = V778889. assign V573168 = V305836 - 1. assign V693958 = V797044 - 1. assign V298002 = V535000. assign V944193 = V551573 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V874022 = V352050 + 1. assign V764276 = V436947 - 1. assign V908084 = 4. assign V238680 = V778889 + 1. assign V778889 = V452389. assign V800440 = V337172 - 1. assign V128681 = V305836 + 1. assign V418116 = V048522 - 1. assign V551573 = V634824 - 1. assign V228123 = V305836 - 1. assign V292478 = V573168. assign V822678 = V435807. assign V504610 = V185414. assign V530646 = V228123. assign V004391 = V452389 - 1. assign V435807 = V994981. assign V920434 = V797044 + 1. assign V185414 = V435807. assign V969227 = V001687 - 1. assign V030584 = V908084. assign V797044 = V086351. assign V865790 = V972579. assign V535000 = V117068. assign V453209 = V944193 - 1. assign V429349 = V496583. assign V555470 = V512292. assign V001687 = V086351 - 1. assign V496583 = V778889. assign V403877 = V228123 + 1. assign V642695 = V496583 - 1. assign V879889 = V352050. assign V806294 = V787277. assign V512292 = V874022 + 1. assign V360707 = V879889. assign V316896 = V764276. assign V137836 = V117068 + 1. assign V975947 = V228123. assign V800922 = V429349. assign V070642 = V494846. assign V117068 = V465508 + 1. assign V494846 = V452389 - 1. assign V865387 = V879889. assign V416512 = V351960. assign V190924 = V496583. assign V049659 = V764276. assign V445270 = V414232 - 1. assign V994981 = V228123 - 1. assign V771956 = V086351. assign V972579 = V104455. assign V166091 = V573168. assign V351960 = V778889 - 1. assign V787277 = V634824. assign V316121 = V771956. assign V337172 = V573168. assign V359113 = V465508 + 1. assign V436947 = V004391. assign V086351 = V352050. assign V309113 = V414232. assign V048522 = V994981 - 1. assign V643654 = V496583 + 1. assign V675935 = V797044. assign V943879 = V764276 - 1. assign V807577 = V972579 - 1. assign V104455 = V436947. assign V332696 = V958656. assign V452389 = V305836 - 1. assign V958656 = V994981 + 1. assign V548203 = V643654. assign V666400 = V009375 + 1. assign V414232 = V435807. assign V263749 = V666400 + 1. assign V465508 = V228123 - 1. assign V406629 = V070642. assign V634824 = V436947. assign V009375 = V352050 - 1. assign V985892 = V009375. assign V352050 = V994981 - 1. assign V527589 = V778889 + 1. assign V391445 = V228123. assign V250641 = V807577 - 1. assign V057977 = V943879 - 1. assign V109424 = V778889. assign V573168 = V305836 - 1. assign V693958 = V797044 - 1. assign V298002 = V535000. assign V944193 = V551573 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV908084 = 4;\n\nFrom these direct assignment(s), we have: \nV030584 = V908084 = 4;\nNo other variables can be derived from V030584;\nNo other variables can be derived from V908084;\n\nNow we have done all the calculations. Derived variables are:\nV908084 = 4;\nV030584 = 4;\n\nNow we have finished this problem. ANSWER:\nV908084, V030584\n", "role": "assistant" } ]

[ "V754796" ]

[ { "content": "<context>\nassign V634428 = 8. assign V034023 = V718328 - 1. assign V724680 = V382175 + 1. assign V935148 = V651101 + 1. assign V040106 = V949296 - 1. assign V285779 = V554813 + 1. assign V457917 = V639035 + 1. assign V490141 = V439867. assign V739136 = V440490 + 1. assign V701373 = V382175 + 1. assign V061328 = V738896 - 1. assign V598477 = V193657 + 1. assign V554813 = V103309. assign V651101 = V374109. assign V784799 = V701373. assign V868404 = V034023. assign V746923 = V718328 + 1. assign V718328 = V374109. assign V441755 = V251292. assign V716999 = V609560 + 1. assign V034358 = V479611 - 1. assign V439867 = V440490 + 1. assign V010365 = V909696. assign V989580 = V651101. assign V479611 = V255164 - 1. assign V193657 = V614340 - 1. assign V257320 = V989580 + 1. assign V435830 = V457917 + 1. assign V609560 = V034023 + 1. assign V976440 = V989580 - 1. assign V283626 = V255164. assign V221359 = V439867 + 1. assign V305036 = V773542. assign V562157 = V718328 - 1. assign V835369 = V061322 - 1. assign V909696 = V639035 - 1. assign V754796 = V634428 - 1. assign V625873 = V490141 - 1. assign V246658 = V761942 - 1. assign V103309 = V440490. assign V061322 = V040106 + 1. assign V131573 = V435830. assign V140796 = V868404. assign V639035 = V440490 - 1. assign V089515 = V614340 - 1. assign V761942 = V061322. assign V382175 = V283626 + 1. assign V676223 = V193657 - 1. assign V414224 = V440490 - 1. assign V937125 = V103309 + 1. assign V251292 = V639035 - 1. assign V255164 = V103309 + 1. assign V250292 = V440490. assign V020996 = V114853 + 1. assign V114853 = V439867 + 1. assign V941456 = V414224 + 1. assign V773542 = V103309 - 1. assign V501782 = V103309. assign V306995 = V374109 - 1. assign V891907 = V255164 + 1. assign V614340 = V440490. assign V879388 = V283626 + 1. assign V644611 = V501782 - 1. assign V802178 = V103309 + 1. assign V601904 = V639035 - 1. assign V283542 = V520587. assign V970928 = V034023. assign V015649 = V283542 + 1. assign V200458 = V879388. assign V880032 = V435830 + 1. assign V196744 = V609560. assign V735595 = V718328. assign V316031 = V612478 - 1. assign V055947 = V435830 - 1. assign V860455 = V614340. assign V834065 = V257320 - 1. assign V730226 = V283626 - 1. assign V738896 = V949296 + 1. assign V949296 = V868404. assign V612478 = V196744 + 1. assign V722769 = V196744 + 1. assign V980822 = V761942 - 1. assign V374109 = V103309 - 1. assign V520587 = V718328 - 1. assign V842773 = V860455 + 1. assign V087131 = V601904 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V634428 = 8. assign V034023 = V718328 - 1. assign V724680 = V382175 + 1. assign V935148 = V651101 + 1. assign V040106 = V949296 - 1. assign V285779 = V554813 + 1. assign V457917 = V639035 + 1. assign V490141 = V439867. assign V739136 = V440490 + 1. assign V701373 = V382175 + 1. assign V061328 = V738896 - 1. assign V598477 = V193657 + 1. assign V554813 = V103309. assign V651101 = V374109. assign V784799 = V701373. assign V868404 = V034023. assign V746923 = V718328 + 1. assign V718328 = V374109. assign V441755 = V251292. assign V716999 = V609560 + 1. assign V034358 = V479611 - 1. assign V439867 = V440490 + 1. assign V010365 = V909696. assign V989580 = V651101. assign V479611 = V255164 - 1. assign V193657 = V614340 - 1. assign V257320 = V989580 + 1. assign V435830 = V457917 + 1. assign V609560 = V034023 + 1. assign V976440 = V989580 - 1. assign V283626 = V255164. assign V221359 = V439867 + 1. assign V305036 = V773542. assign V562157 = V718328 - 1. assign V835369 = V061322 - 1. assign V909696 = V639035 - 1. assign V754796 = V634428 - 1. assign V625873 = V490141 - 1. assign V246658 = V761942 - 1. assign V103309 = V440490. assign V061322 = V040106 + 1. assign V131573 = V435830. assign V140796 = V868404. assign V639035 = V440490 - 1. assign V089515 = V614340 - 1. assign V761942 = V061322. assign V382175 = V283626 + 1. assign V676223 = V193657 - 1. assign V414224 = V440490 - 1. assign V937125 = V103309 + 1. assign V251292 = V639035 - 1. assign V255164 = V103309 + 1. assign V250292 = V440490. assign V020996 = V114853 + 1. assign V114853 = V439867 + 1. assign V941456 = V414224 + 1. assign V773542 = V103309 - 1. assign V501782 = V103309. assign V306995 = V374109 - 1. assign V891907 = V255164 + 1. assign V614340 = V440490. assign V879388 = V283626 + 1. assign V644611 = V501782 - 1. assign V802178 = V103309 + 1. assign V601904 = V639035 - 1. assign V283542 = V520587. assign V970928 = V034023. assign V015649 = V283542 + 1. assign V200458 = V879388. assign V880032 = V435830 + 1. assign V196744 = V609560. assign V735595 = V718328. assign V316031 = V612478 - 1. assign V055947 = V435830 - 1. assign V860455 = V614340. assign V834065 = V257320 - 1. assign V730226 = V283626 - 1. assign V738896 = V949296 + 1. assign V949296 = V868404. assign V612478 = V196744 + 1. assign V722769 = V196744 + 1. assign V980822 = V761942 - 1. assign V374109 = V103309 - 1. assign V520587 = V718328 - 1. assign V842773 = V860455 + 1. assign V087131 = V601904 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV634428 = 8;\n\nFrom these direct assignment(s), we have: \nV754796 = V634428 - 1 = 8 - 1 =7;\nNo other variables can be derived from V754796;\nNo other variables can be derived from V634428;\n\nNow we have done all the calculations. Derived variables are:\nV634428 = 8;\nV754796 = 7;\n\nNow we have finished this problem. ANSWER:\nV754796\n", "role": "assistant" } ]

[ "V612412", "V274699" ]

[ { "content": "<context>\nassign V599925 = V509185 + 1. assign V787375 = V277659 + 1. assign V043837 = V696179 + 1. assign V783890 = V787375 + 1. assign V699609 = V938879. assign V872254 = V783890 + 1. assign V277659 = V950197 + 1. assign V806209 = V638571. assign V173194 = V599925. assign V348670 = V277659 + 1. assign V459977 = V388855. assign V612412 = 7. assign V148223 = V458048. assign V458334 = V950394 + 1. assign V263997 = V913391. assign V051565 = V883388. assign V420666 = V896070. assign V755702 = V938879 + 1. assign V950394 = V093629. assign V499418 = V348670. assign V950197 = V402144 + 1. assign V087649 = V972133 - 1. assign V684342 = V510021 + 1. assign V006658 = V950394 - 1. assign V649148 = V710013 + 1. assign V938879 = V042035 + 1. assign V695114 = V372739 + 1. assign V030681 = V905167 - 1. assign V148264 = V042035 + 1. assign V039788 = V787375 - 1. assign V710013 = V499418 + 1. assign V233960 = V099666 + 1. assign V936316 = V972133 - 1. assign V874548 = V509185. assign V604062 = V277659 + 1. assign V099666 = V733843 + 1. assign V972133 = V402144. assign V905167 = V938879. assign V388855 = V787375 + 1. assign V319407 = V458334 + 1. assign V086776 = V546063 + 1. assign V844963 = V030681 + 1. assign V066126 = V783890 - 1. assign V399974 = V792384 + 1. assign V546063 = V388855 - 1. assign V336128 = V783890. assign V870216 = V883388 + 1. assign V445913 = V787375 + 1. assign V844011 = V458334 + 1. assign V896070 = V277659. assign V797104 = V030681 + 1. assign V042035 = V972133 - 1. assign V818272 = V678781. assign V733843 = V783890 - 1. assign V661141 = V445913. assign V678644 = V638571 + 1. assign V012955 = V546063 - 1. assign V701184 = V086776 - 1. assign V696179 = V030681 - 1. assign V855418 = V233960 - 1. assign V332662 = V006658 - 1. assign V301327 = V402144 + 1. assign V638571 = V148264. assign V978483 = V277659. assign V379917 = V413928 + 1. assign V432367 = V546063 - 1. assign V678781 = V896070. assign V372739 = V872254 - 1. assign V625270 = V733843 + 1. assign V458048 = V855418 - 1. assign V510021 = V905167 + 1. assign V913391 = V539850 + 1. assign V311743 = V638571. assign V093629 = V402144 + 1. assign V413928 = V509185 + 1. assign V147946 = V844011 + 1. assign V040661 = V060944. assign V792384 = V509185 + 1. assign V539850 = V458334. assign V274699 = V612412. assign V060944 = V783890 + 1. assign V509185 = V277659 - 1. assign V556827 = V699609. assign V991860 = V755702. assign V883388 = V093629 - 1. assign V317158 = V420666.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V599925 = V509185 + 1. assign V787375 = V277659 + 1. assign V043837 = V696179 + 1. assign V783890 = V787375 + 1. assign V699609 = V938879. assign V872254 = V783890 + 1. assign V277659 = V950197 + 1. assign V806209 = V638571. assign V173194 = V599925. assign V348670 = V277659 + 1. assign V459977 = V388855. assign V612412 = 7. assign V148223 = V458048. assign V458334 = V950394 + 1. assign V263997 = V913391. assign V051565 = V883388. assign V420666 = V896070. assign V755702 = V938879 + 1. assign V950394 = V093629. assign V499418 = V348670. assign V950197 = V402144 + 1. assign V087649 = V972133 - 1. assign V684342 = V510021 + 1. assign V006658 = V950394 - 1. assign V649148 = V710013 + 1. assign V938879 = V042035 + 1. assign V695114 = V372739 + 1. assign V030681 = V905167 - 1. assign V148264 = V042035 + 1. assign V039788 = V787375 - 1. assign V710013 = V499418 + 1. assign V233960 = V099666 + 1. assign V936316 = V972133 - 1. assign V874548 = V509185. assign V604062 = V277659 + 1. assign V099666 = V733843 + 1. assign V972133 = V402144. assign V905167 = V938879. assign V388855 = V787375 + 1. assign V319407 = V458334 + 1. assign V086776 = V546063 + 1. assign V844963 = V030681 + 1. assign V066126 = V783890 - 1. assign V399974 = V792384 + 1. assign V546063 = V388855 - 1. assign V336128 = V783890. assign V870216 = V883388 + 1. assign V445913 = V787375 + 1. assign V844011 = V458334 + 1. assign V896070 = V277659. assign V797104 = V030681 + 1. assign V042035 = V972133 - 1. assign V818272 = V678781. assign V733843 = V783890 - 1. assign V661141 = V445913. assign V678644 = V638571 + 1. assign V012955 = V546063 - 1. assign V701184 = V086776 - 1. assign V696179 = V030681 - 1. assign V855418 = V233960 - 1. assign V332662 = V006658 - 1. assign V301327 = V402144 + 1. assign V638571 = V148264. assign V978483 = V277659. assign V379917 = V413928 + 1. assign V432367 = V546063 - 1. assign V678781 = V896070. assign V372739 = V872254 - 1. assign V625270 = V733843 + 1. assign V458048 = V855418 - 1. assign V510021 = V905167 + 1. assign V913391 = V539850 + 1. assign V311743 = V638571. assign V093629 = V402144 + 1. assign V413928 = V509185 + 1. assign V147946 = V844011 + 1. assign V040661 = V060944. assign V792384 = V509185 + 1. assign V539850 = V458334. assign V274699 = V612412. assign V060944 = V783890 + 1. assign V509185 = V277659 - 1. assign V556827 = V699609. assign V991860 = V755702. assign V883388 = V093629 - 1. assign V317158 = V420666.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV612412 = 7;\n\nFrom these direct assignment(s), we have: \nV274699 = V612412 = 7;\nNo other variables can be derived from V274699;\nNo other variables can be derived from V612412;\n\nNow we have done all the calculations. Derived variables are:\nV612412 = 7;\nV274699 = 7;\n\nNow we have finished this problem. ANSWER:\nV612412, V274699\n", "role": "assistant" } ]

[ "V617122" ]

[ { "content": "<context>\nassign V854965 = V883985 + 1. assign V142307 = V812616. assign V618298 = V661165. assign V567262 = V802100 - 1. assign V849116 = V794202. assign V931546 = V898686. assign V990315 = V560872 - 1. assign V961936 = V105205 - 1. assign V003596 = V144416 - 1. assign V431562 = V931417 + 1. assign V687977 = V708726. assign V167126 = V613722. assign V708726 = V578477. assign V491733 = V390172. assign V812616 = V718489 + 1. assign V323176 = V843060. assign V520749 = V596229 + 1. assign V802100 = V003596 + 1. assign V235972 = V088935. assign V489774 = V163210 - 1. assign V898686 = V596229 - 1. assign V225996 = V812616. assign V342847 = V142307 - 1. assign V931417 = V298083 + 1. assign V500728 = V323176 - 1. assign V312158 = V661165 - 1. assign V144416 = V661165. assign V950561 = V595714 - 1. assign V344563 = V342847. assign V617122 = 0. assign V865742 = V961936 + 1. assign V088935 = V596340 - 1. assign V344241 = V950561 - 1. assign V661165 = V596340 + 1. assign V501594 = V613722 - 1. assign V760799 = V639998 - 1. assign V361885 = V520749 - 1. assign V794202 = V003596 - 1. assign V639998 = V520749. assign V150983 = V312158 + 1. assign V175792 = V718489. assign V069853 = V865163 - 1. assign V495819 = V147152 + 1. assign V595714 = V088935 + 1. assign V442572 = V595714. assign V170227 = V865742 + 1. assign V883985 = V950561. assign V860117 = V843060. assign V926754 = V854965 - 1. assign V865163 = V661165 - 1. assign V546556 = V088935 - 1. assign V178376 = V639998 - 1. assign V199914 = V794202 - 1. assign V947188 = V661165 + 1. assign V596229 = V596340. assign V239155 = V540636 + 1. assign V298083 = V595714 + 1. assign V163210 = V661165. assign V578477 = V225996. assign V457676 = V865163. assign V523334 = V003596 - 1. assign V592060 = V500728. assign V038179 = V961936. assign V659090 = V489774 + 1. assign V209123 = V812616 - 1. assign V390172 = V950561 + 1. assign V403478 = V812616 + 1. assign V105205 = V596340. assign V601392 = V908549 + 1. assign V424281 = V661165 + 1. assign V613924 = V520749 - 1. assign V791763 = V361885. assign V560872 = V718489 - 1. assign V064021 = V883985 + 1. assign V613722 = V596229 - 1. assign V312558 = V617122 + 1. assign V859269 = V199914 - 1. assign V881941 = V791763. assign V718489 = V596229. assign V571743 = V596229. assign V791138 = V601392. assign V540636 = V344563 + 1. assign V590017 = V791763 - 1. assign V147152 = V167126. assign V843060 = V361885 - 1. assign V908549 = V163210 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V854965 = V883985 + 1. assign V142307 = V812616. assign V618298 = V661165. assign V567262 = V802100 - 1. assign V849116 = V794202. assign V931546 = V898686. assign V990315 = V560872 - 1. assign V961936 = V105205 - 1. assign V003596 = V144416 - 1. assign V431562 = V931417 + 1. assign V687977 = V708726. assign V167126 = V613722. assign V708726 = V578477. assign V491733 = V390172. assign V812616 = V718489 + 1. assign V323176 = V843060. assign V520749 = V596229 + 1. assign V802100 = V003596 + 1. assign V235972 = V088935. assign V489774 = V163210 - 1. assign V898686 = V596229 - 1. assign V225996 = V812616. assign V342847 = V142307 - 1. assign V931417 = V298083 + 1. assign V500728 = V323176 - 1. assign V312158 = V661165 - 1. assign V144416 = V661165. assign V950561 = V595714 - 1. assign V344563 = V342847. assign V617122 = 0. assign V865742 = V961936 + 1. assign V088935 = V596340 - 1. assign V344241 = V950561 - 1. assign V661165 = V596340 + 1. assign V501594 = V613722 - 1. assign V760799 = V639998 - 1. assign V361885 = V520749 - 1. assign V794202 = V003596 - 1. assign V639998 = V520749. assign V150983 = V312158 + 1. assign V175792 = V718489. assign V069853 = V865163 - 1. assign V495819 = V147152 + 1. assign V595714 = V088935 + 1. assign V442572 = V595714. assign V170227 = V865742 + 1. assign V883985 = V950561. assign V860117 = V843060. assign V926754 = V854965 - 1. assign V865163 = V661165 - 1. assign V546556 = V088935 - 1. assign V178376 = V639998 - 1. assign V199914 = V794202 - 1. assign V947188 = V661165 + 1. assign V596229 = V596340. assign V239155 = V540636 + 1. assign V298083 = V595714 + 1. assign V163210 = V661165. assign V578477 = V225996. assign V457676 = V865163. assign V523334 = V003596 - 1. assign V592060 = V500728. assign V038179 = V961936. assign V659090 = V489774 + 1. assign V209123 = V812616 - 1. assign V390172 = V950561 + 1. assign V403478 = V812616 + 1. assign V105205 = V596340. assign V601392 = V908549 + 1. assign V424281 = V661165 + 1. assign V613924 = V520749 - 1. assign V791763 = V361885. assign V560872 = V718489 - 1. assign V064021 = V883985 + 1. assign V613722 = V596229 - 1. assign V312558 = V617122 + 1. assign V859269 = V199914 - 1. assign V881941 = V791763. assign V718489 = V596229. assign V571743 = V596229. assign V791138 = V601392. assign V540636 = V344563 + 1. assign V590017 = V791763 - 1. assign V147152 = V167126. assign V843060 = V361885 - 1. assign V908549 = V163210 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV617122 = 0;\n\nFrom these direct assignment(s), we have: \nV312558 = V617122 + 1 = 0 + 1 =1;\nNo other variables can be derived from V312558;\nNo other variables can be derived from V617122;\n\nNow we have done all the calculations. Derived variables are:\nV617122 = 0;\nV312558 = 1;\n\nNow we have finished this problem. ANSWER:\nV617122\n", "role": "assistant" } ]

[ "V514743", "V415315" ]

[ { "content": "<context>\nassign V349581 = V617502 + 1. assign V184421 = V617502 - 1. assign V640381 = V763228 + 1. assign V601545 = V344332 + 1. assign V862429 = V722914. assign V415315 = V514743. assign V344332 = V348221 + 1. assign V602541 = V541388 - 1. assign V655178 = V278311 - 1. assign V952520 = V249930. assign V500682 = V249930 - 1. assign V220633 = V655178. assign V955805 = V495158. assign V158350 = V203397. assign V863241 = V944624 + 1. assign V944624 = V862429. assign V528185 = V249930 - 1. assign V217347 = V068658 + 1. assign V617502 = V249930 - 1. assign V297241 = V887707 + 1. assign V323948 = V913119 + 1. assign V679955 = V655178 + 1. assign V410921 = V971478. assign V589813 = V740238 + 1. assign V763228 = V952520. assign V732692 = V589813. assign V913119 = V887647 + 1. assign V348856 = V217347 + 1. assign V971478 = V278311 - 1. assign V997252 = V952520. assign V514743 = 7. assign V327422 = V679955. assign V977832 = V323948 + 1. assign V126233 = V297009. assign V044421 = V249930 - 1. assign V495158 = V126233 + 1. assign V322107 = V297009 + 1. assign V120325 = V126233 - 1. assign V473632 = V158350. assign V780320 = V110826 - 1. assign V164247 = V761192. assign V319768 = V366512 + 1. assign V736601 = V913119 + 1. assign V334555 = V220633 - 1. assign V746628 = V952520 - 1. assign V902096 = V763228 + 1. assign V992576 = V944624 - 1. assign V068658 = V655178 - 1. assign V608384 = V215578 + 1. assign V324965 = V132437 + 1. assign V104303 = V278311. assign V375239 = V571156 - 1. assign V137699 = V104303. assign V613482 = V598267 - 1. assign V887707 = V203397. assign V108895 = V952520 - 1. assign V058997 = V602541. assign V638792 = V132437 - 1. assign V576973 = V997252 - 1. assign V203397 = V249930. assign V761192 = V249930. assign V644731 = V215578 - 1. assign V366512 = V602541 + 1. assign V778585 = V589813 - 1. assign V132437 = V068658. assign V348221 = V297241 - 1. assign V297009 = V203397 - 1. assign V565166 = V058997 - 1. assign V722157 = V104303. assign V808096 = V997252 - 1. assign V541388 = V348856 + 1. assign V325915 = V058997 - 1. assign V215578 = V249930. assign V733889 = V746628 - 1. assign V810115 = V971478 + 1. assign V278311 = V746628 + 1. assign V571156 = V608384. assign V878378 = V104303 - 1. assign V505614 = V952520 + 1. assign V846461 = V203397. assign V598267 = V655178. assign V887647 = V722914 + 1. assign V110826 = V608384 + 1. assign V722914 = V761192 - 1. assign V740238 = V348221. assign V696620 = V571156 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V349581 = V617502 + 1. assign V184421 = V617502 - 1. assign V640381 = V763228 + 1. assign V601545 = V344332 + 1. assign V862429 = V722914. assign V415315 = V514743. assign V344332 = V348221 + 1. assign V602541 = V541388 - 1. assign V655178 = V278311 - 1. assign V952520 = V249930. assign V500682 = V249930 - 1. assign V220633 = V655178. assign V955805 = V495158. assign V158350 = V203397. assign V863241 = V944624 + 1. assign V944624 = V862429. assign V528185 = V249930 - 1. assign V217347 = V068658 + 1. assign V617502 = V249930 - 1. assign V297241 = V887707 + 1. assign V323948 = V913119 + 1. assign V679955 = V655178 + 1. assign V410921 = V971478. assign V589813 = V740238 + 1. assign V763228 = V952520. assign V732692 = V589813. assign V913119 = V887647 + 1. assign V348856 = V217347 + 1. assign V971478 = V278311 - 1. assign V997252 = V952520. assign V514743 = 7. assign V327422 = V679955. assign V977832 = V323948 + 1. assign V126233 = V297009. assign V044421 = V249930 - 1. assign V495158 = V126233 + 1. assign V322107 = V297009 + 1. assign V120325 = V126233 - 1. assign V473632 = V158350. assign V780320 = V110826 - 1. assign V164247 = V761192. assign V319768 = V366512 + 1. assign V736601 = V913119 + 1. assign V334555 = V220633 - 1. assign V746628 = V952520 - 1. assign V902096 = V763228 + 1. assign V992576 = V944624 - 1. assign V068658 = V655178 - 1. assign V608384 = V215578 + 1. assign V324965 = V132437 + 1. assign V104303 = V278311. assign V375239 = V571156 - 1. assign V137699 = V104303. assign V613482 = V598267 - 1. assign V887707 = V203397. assign V108895 = V952520 - 1. assign V058997 = V602541. assign V638792 = V132437 - 1. assign V576973 = V997252 - 1. assign V203397 = V249930. assign V761192 = V249930. assign V644731 = V215578 - 1. assign V366512 = V602541 + 1. assign V778585 = V589813 - 1. assign V132437 = V068658. assign V348221 = V297241 - 1. assign V297009 = V203397 - 1. assign V565166 = V058997 - 1. assign V722157 = V104303. assign V808096 = V997252 - 1. assign V541388 = V348856 + 1. assign V325915 = V058997 - 1. assign V215578 = V249930. assign V733889 = V746628 - 1. assign V810115 = V971478 + 1. assign V278311 = V746628 + 1. assign V571156 = V608384. assign V878378 = V104303 - 1. assign V505614 = V952520 + 1. assign V846461 = V203397. assign V598267 = V655178. assign V887647 = V722914 + 1. assign V110826 = V608384 + 1. assign V722914 = V761192 - 1. assign V740238 = V348221. assign V696620 = V571156 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV514743 = 7;\n\nFrom these direct assignment(s), we have: \nV415315 = V514743 = 7;\nNo other variables can be derived from V415315;\nNo other variables can be derived from V514743;\n\nNow we have done all the calculations. Derived variables are:\nV514743 = 7;\nV415315 = 7;\n\nNow we have finished this problem. ANSWER:\nV514743, V415315\n", "role": "assistant" } ]

[ "V106491" ]

[ { "content": "<context>\nassign V940902 = V389824. assign V658103 = V225433 - 1. assign V755860 = V926899. assign V437504 = V592496 + 1. assign V025985 = V707547 - 1. assign V880296 = V210706. assign V106491 = V385400 + 1. assign V359465 = V925572 + 1. assign V925572 = V658103 + 1. assign V659192 = V225433 + 1. assign V933225 = V437504. assign V022071 = V524594. assign V844835 = V524594. assign V336530 = V813143. assign V998761 = V150680. assign V240421 = V998761 + 1. assign V851782 = V933225. assign V707547 = V725973 - 1. assign V790668 = V592496 - 1. assign V729008 = V701105. assign V112669 = V896739. assign V703369 = V357160 + 1. assign V456409 = V820954 - 1. assign V926899 = V357160 + 1. assign V896739 = V150680. assign V441805 = V935247. assign V490227 = V768893 + 1. assign V350335 = V359465. assign V001159 = V768893. assign V635416 = V150680. assign V389824 = V750303. assign V438878 = V935247 - 1. assign V133372 = V790668 + 1. assign V039492 = V870146 - 1. assign V883574 = V437504 + 1. assign V870146 = V998761. assign V813143 = V896739 - 1. assign V385400 = 0. assign V982191 = V813143 + 1. assign V125222 = V870146. assign V750303 = V790668 + 1. assign V775920 = V896739. assign V503157 = V851782. assign V861721 = V441805. assign V040539 = V035006 + 1. assign V929525 = V659192. assign V152375 = V001159. assign V935247 = V896739 - 1. assign V629952 = V998761 + 1. assign V906230 = V701105. assign V708159 = V150680. assign V183587 = V750303 + 1. assign V052975 = V225433 - 1. assign V592496 = V150680 + 1. assign V270684 = V210706 + 1. assign V970734 = V210706 - 1. assign V052066 = V880296. assign V337918 = V725973 - 1. assign V435794 = V970734 - 1. assign V357160 = V001159 - 1. assign V820954 = V975507 + 1. assign V523400 = V820954. assign V012237 = V152375 + 1. assign V576507 = V813143 + 1. assign V346659 = V868707 + 1. assign V210706 = V929525 - 1. assign V332176 = V039492. assign V432763 = V725973 - 1. assign V768893 = V052975 + 1. assign V434025 = V150680. assign V225433 = V701105. assign V232079 = V357160 - 1. assign V150680 = V225433 - 1. assign V369053 = V350335 + 1. assign V868707 = V790668. assign V725973 = V925572. assign V975507 = V225433. assign V597030 = V635416. assign V035006 = V982191 - 1. assign V794618 = V725973 - 1. assign V643097 = V708159. assign V495298 = V012237 + 1. assign V246979 = V851782 + 1. assign V641934 = V210706 - 1. assign V524594 = V150680 + 1. assign V287301 = V635416 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V940902 = V389824. assign V658103 = V225433 - 1. assign V755860 = V926899. assign V437504 = V592496 + 1. assign V025985 = V707547 - 1. assign V880296 = V210706. assign V106491 = V385400 + 1. assign V359465 = V925572 + 1. assign V925572 = V658103 + 1. assign V659192 = V225433 + 1. assign V933225 = V437504. assign V022071 = V524594. assign V844835 = V524594. assign V336530 = V813143. assign V998761 = V150680. assign V240421 = V998761 + 1. assign V851782 = V933225. assign V707547 = V725973 - 1. assign V790668 = V592496 - 1. assign V729008 = V701105. assign V112669 = V896739. assign V703369 = V357160 + 1. assign V456409 = V820954 - 1. assign V926899 = V357160 + 1. assign V896739 = V150680. assign V441805 = V935247. assign V490227 = V768893 + 1. assign V350335 = V359465. assign V001159 = V768893. assign V635416 = V150680. assign V389824 = V750303. assign V438878 = V935247 - 1. assign V133372 = V790668 + 1. assign V039492 = V870146 - 1. assign V883574 = V437504 + 1. assign V870146 = V998761. assign V813143 = V896739 - 1. assign V385400 = 0. assign V982191 = V813143 + 1. assign V125222 = V870146. assign V750303 = V790668 + 1. assign V775920 = V896739. assign V503157 = V851782. assign V861721 = V441805. assign V040539 = V035006 + 1. assign V929525 = V659192. assign V152375 = V001159. assign V935247 = V896739 - 1. assign V629952 = V998761 + 1. assign V906230 = V701105. assign V708159 = V150680. assign V183587 = V750303 + 1. assign V052975 = V225433 - 1. assign V592496 = V150680 + 1. assign V270684 = V210706 + 1. assign V970734 = V210706 - 1. assign V052066 = V880296. assign V337918 = V725973 - 1. assign V435794 = V970734 - 1. assign V357160 = V001159 - 1. assign V820954 = V975507 + 1. assign V523400 = V820954. assign V012237 = V152375 + 1. assign V576507 = V813143 + 1. assign V346659 = V868707 + 1. assign V210706 = V929525 - 1. assign V332176 = V039492. assign V432763 = V725973 - 1. assign V768893 = V052975 + 1. assign V434025 = V150680. assign V225433 = V701105. assign V232079 = V357160 - 1. assign V150680 = V225433 - 1. assign V369053 = V350335 + 1. assign V868707 = V790668. assign V725973 = V925572. assign V975507 = V225433. assign V597030 = V635416. assign V035006 = V982191 - 1. assign V794618 = V725973 - 1. assign V643097 = V708159. assign V495298 = V012237 + 1. assign V246979 = V851782 + 1. assign V641934 = V210706 - 1. assign V524594 = V150680 + 1. assign V287301 = V635416 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV385400 = 0;\n\nFrom these direct assignment(s), we have: \nV106491 = V385400 + 1 = 0 + 1 =1;\nNo other variables can be derived from V106491;\nNo other variables can be derived from V385400;\n\nNow we have done all the calculations. Derived variables are:\nV385400 = 0;\nV106491 = 1;\n\nNow we have finished this problem. ANSWER:\nV106491\n", "role": "assistant" } ]

[ "V706109" ]

[ { "content": "<context>\nassign V149576 = V040904. assign V051676 = V562413. assign V997572 = V562413 + 1. assign V485613 = V850904 - 1. assign V117053 = V244268. assign V807330 = V130582 - 1. assign V627523 = V312995. assign V163705 = V386607 + 1. assign V185935 = V922311. assign V575203 = V610800 - 1. assign V795854 = V555203 + 1. assign V280538 = V329390. assign V950124 = V256845 + 1. assign V413654 = V550149 - 1. assign V850904 = V051676. assign V549198 = V795341. assign V517468 = V016791 + 1. assign V150650 = V571079 - 1. assign V706109 = V740847 - 1. assign V213225 = V512763 - 1. assign V988522 = V555021 + 1. assign V550149 = V386607 - 1. assign V130582 = V997572. assign V244201 = V022230 - 1. assign V256489 = V846314 + 1. assign V922311 = V795341. assign V244268 = V544455. assign V610800 = V312995. assign V142191 = V329390. assign V354454 = V480781 + 1. assign V727772 = V256845 + 1. assign V287820 = V555021 + 1. assign V386607 = V562413 - 1. assign V312995 = V997572 + 1. assign V555203 = V653705 + 1. assign V118058 = V312995. assign V846314 = V578825. assign V829098 = V163705 + 1. assign V993322 = V213225 - 1. assign V783340 = V550149 + 1. assign V362963 = V997572 - 1. assign V270409 = V555203 + 1. assign V647131 = V312995. assign V173505 = V022230. assign V040904 = V853039 - 1. assign V577366 = V130582. assign V529500 = V318913 - 1. assign V177906 = V588783 + 1. assign V016791 = V042223 - 1. assign V443099 = V256845. assign V588783 = V256845. assign V329390 = V022230 + 1. assign V512763 = V040904. assign V614241 = V318913 + 1. assign V576815 = V829098 + 1. assign V066109 = V922311 + 1. assign V348797 = V665506 + 1. assign V795341 = V318913 - 1. assign V042223 = V550149. assign V905959 = V562413 + 1. assign V225373 = V555021 + 1. assign V480781 = V555203 + 1. assign V243404 = V665506. assign V318913 = V562413 + 1. assign V510997 = V847125 - 1. assign V555021 = V312995. assign V002360 = V312995 + 1. assign V847125 = V653705 - 1. assign V022230 = V550149 - 1. assign V163311 = V349200 - 1. assign V042099 = V312995. assign V665506 = V318913 + 1. assign V853039 = V997572 + 1. assign V768954 = V173505 + 1. assign V544455 = V312995 + 1. assign V256845 = V653705. assign V349200 = V256845 - 1. assign V459941 = V529500. assign V928732 = V386607. assign V653705 = V386607. assign V964852 = V847125 + 1. assign V578825 = V386607. assign V572443 = V562413 + 1. assign V740847 = 4. assign V987638 = V173505 + 1. assign V571079 = V040904 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V149576 = V040904. assign V051676 = V562413. assign V997572 = V562413 + 1. assign V485613 = V850904 - 1. assign V117053 = V244268. assign V807330 = V130582 - 1. assign V627523 = V312995. assign V163705 = V386607 + 1. assign V185935 = V922311. assign V575203 = V610800 - 1. assign V795854 = V555203 + 1. assign V280538 = V329390. assign V950124 = V256845 + 1. assign V413654 = V550149 - 1. assign V850904 = V051676. assign V549198 = V795341. assign V517468 = V016791 + 1. assign V150650 = V571079 - 1. assign V706109 = V740847 - 1. assign V213225 = V512763 - 1. assign V988522 = V555021 + 1. assign V550149 = V386607 - 1. assign V130582 = V997572. assign V244201 = V022230 - 1. assign V256489 = V846314 + 1. assign V922311 = V795341. assign V244268 = V544455. assign V610800 = V312995. assign V142191 = V329390. assign V354454 = V480781 + 1. assign V727772 = V256845 + 1. assign V287820 = V555021 + 1. assign V386607 = V562413 - 1. assign V312995 = V997572 + 1. assign V555203 = V653705 + 1. assign V118058 = V312995. assign V846314 = V578825. assign V829098 = V163705 + 1. assign V993322 = V213225 - 1. assign V783340 = V550149 + 1. assign V362963 = V997572 - 1. assign V270409 = V555203 + 1. assign V647131 = V312995. assign V173505 = V022230. assign V040904 = V853039 - 1. assign V577366 = V130582. assign V529500 = V318913 - 1. assign V177906 = V588783 + 1. assign V016791 = V042223 - 1. assign V443099 = V256845. assign V588783 = V256845. assign V329390 = V022230 + 1. assign V512763 = V040904. assign V614241 = V318913 + 1. assign V576815 = V829098 + 1. assign V066109 = V922311 + 1. assign V348797 = V665506 + 1. assign V795341 = V318913 - 1. assign V042223 = V550149. assign V905959 = V562413 + 1. assign V225373 = V555021 + 1. assign V480781 = V555203 + 1. assign V243404 = V665506. assign V318913 = V562413 + 1. assign V510997 = V847125 - 1. assign V555021 = V312995. assign V002360 = V312995 + 1. assign V847125 = V653705 - 1. assign V022230 = V550149 - 1. assign V163311 = V349200 - 1. assign V042099 = V312995. assign V665506 = V318913 + 1. assign V853039 = V997572 + 1. assign V768954 = V173505 + 1. assign V544455 = V312995 + 1. assign V256845 = V653705. assign V349200 = V256845 - 1. assign V459941 = V529500. assign V928732 = V386607. assign V653705 = V386607. assign V964852 = V847125 + 1. assign V578825 = V386607. assign V572443 = V562413 + 1. assign V740847 = 4. assign V987638 = V173505 + 1. assign V571079 = V040904 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV740847 = 4;\n\nFrom these direct assignment(s), we have: \nV706109 = V740847 - 1 = 4 - 1 =3;\nNo other variables can be derived from V706109;\nNo other variables can be derived from V740847;\n\nNow we have done all the calculations. Derived variables are:\nV740847 = 4;\nV706109 = 3;\n\nNow we have finished this problem. ANSWER:\nV706109\n", "role": "assistant" } ]

[ "V926600", "V453373" ]

[ { "content": "<context>\nassign V981673 = V704988 + 1. assign V402663 = V290522 + 1. assign V256128 = V282580. assign V069265 = V441772 + 1. assign V135641 = V715413 - 1. assign V881024 = V188576. assign V007737 = V707295 - 1. assign V901673 = V329744 - 1. assign V704988 = V537110. assign V926600 = 10. assign V935024 = V100322. assign V316209 = V135641 - 1. assign V389967 = V343417 - 1. assign V974022 = V100322 - 1. assign V231958 = V622131 - 1. assign V188576 = V604881. assign V756897 = V881024 + 1. assign V061839 = V715413. assign V634618 = V789796 + 1. assign V004500 = V106211 - 1. assign V622131 = V282580. assign V806280 = V710350. assign V842943 = V172071. assign V486767 = V109562 - 1. assign V482196 = V427819 - 1. assign V237171 = V061839 - 1. assign V366501 = V007737 + 1. assign V537110 = V109562 + 1. assign V441481 = V537110. assign V284191 = V537289. assign V412248 = V109562 + 1. assign V290522 = V100322. assign V699199 = V634618 - 1. assign V710350 = V789796 - 1. assign V507358 = V295967. assign V361693 = V537110 + 1. assign V146389 = V537110. assign V556425 = V389967 - 1. assign V971101 = V974022 - 1. assign V172071 = V797745 - 1. assign V329744 = V482196 - 1. assign V004692 = V935024 - 1. assign V691695 = V998272 - 1. assign V111569 = V537110 - 1. assign V100322 = V486767. assign V521992 = V316591 - 1. assign V707295 = V100322 + 1. assign V106211 = V797745. assign V888789 = V004500 - 1. assign V925774 = V704988 + 1. assign V318553 = V797745 - 1. assign V427819 = V100322 + 1. assign V572753 = V846955 + 1. assign V537289 = V111569 + 1. assign V343417 = V935024. assign V466139 = V634618 + 1. assign V789796 = V100322 - 1. assign V316591 = V111569 - 1. assign V295967 = V284191 - 1. assign V330290 = V135641. assign V266119 = V412248. assign V774689 = V316591 - 1. assign V998272 = V284191 + 1. assign V275251 = V323929 + 1. assign V419658 = V188576 + 1. assign V869758 = V412248 - 1. assign V075314 = V109562 - 1. assign V453373 = V926600. assign V583269 = V565534. assign V797745 = V109562 + 1. assign V842082 = V075314 - 1. assign V604881 = V537110 + 1. assign V709540 = V881024. assign V311989 = V061839 + 1. assign V718846 = V100322 - 1. assign V565534 = V007737 - 1. assign V145071 = V935024. assign V109562 = V715413. assign V833926 = V789796 - 1. assign V134267 = V507358. assign V441772 = V284191 - 1. assign V779077 = V100322 + 1. assign V836890 = V981673. assign V846955 = V707295 + 1. assign V282580 = V935024. assign V323929 = V935024 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V981673 = V704988 + 1. assign V402663 = V290522 + 1. assign V256128 = V282580. assign V069265 = V441772 + 1. assign V135641 = V715413 - 1. assign V881024 = V188576. assign V007737 = V707295 - 1. assign V901673 = V329744 - 1. assign V704988 = V537110. assign V926600 = 10. assign V935024 = V100322. assign V316209 = V135641 - 1. assign V389967 = V343417 - 1. assign V974022 = V100322 - 1. assign V231958 = V622131 - 1. assign V188576 = V604881. assign V756897 = V881024 + 1. assign V061839 = V715413. assign V634618 = V789796 + 1. assign V004500 = V106211 - 1. assign V622131 = V282580. assign V806280 = V710350. assign V842943 = V172071. assign V486767 = V109562 - 1. assign V482196 = V427819 - 1. assign V237171 = V061839 - 1. assign V366501 = V007737 + 1. assign V537110 = V109562 + 1. assign V441481 = V537110. assign V284191 = V537289. assign V412248 = V109562 + 1. assign V290522 = V100322. assign V699199 = V634618 - 1. assign V710350 = V789796 - 1. assign V507358 = V295967. assign V361693 = V537110 + 1. assign V146389 = V537110. assign V556425 = V389967 - 1. assign V971101 = V974022 - 1. assign V172071 = V797745 - 1. assign V329744 = V482196 - 1. assign V004692 = V935024 - 1. assign V691695 = V998272 - 1. assign V111569 = V537110 - 1. assign V100322 = V486767. assign V521992 = V316591 - 1. assign V707295 = V100322 + 1. assign V106211 = V797745. assign V888789 = V004500 - 1. assign V925774 = V704988 + 1. assign V318553 = V797745 - 1. assign V427819 = V100322 + 1. assign V572753 = V846955 + 1. assign V537289 = V111569 + 1. assign V343417 = V935024. assign V466139 = V634618 + 1. assign V789796 = V100322 - 1. assign V316591 = V111569 - 1. assign V295967 = V284191 - 1. assign V330290 = V135641. assign V266119 = V412248. assign V774689 = V316591 - 1. assign V998272 = V284191 + 1. assign V275251 = V323929 + 1. assign V419658 = V188576 + 1. assign V869758 = V412248 - 1. assign V075314 = V109562 - 1. assign V453373 = V926600. assign V583269 = V565534. assign V797745 = V109562 + 1. assign V842082 = V075314 - 1. assign V604881 = V537110 + 1. assign V709540 = V881024. assign V311989 = V061839 + 1. assign V718846 = V100322 - 1. assign V565534 = V007737 - 1. assign V145071 = V935024. assign V109562 = V715413. assign V833926 = V789796 - 1. assign V134267 = V507358. assign V441772 = V284191 - 1. assign V779077 = V100322 + 1. assign V836890 = V981673. assign V846955 = V707295 + 1. assign V282580 = V935024. assign V323929 = V935024 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV926600 = 10;\n\nFrom these direct assignment(s), we have: \nV453373 = V926600 = 10;\nNo other variables can be derived from V453373;\nNo other variables can be derived from V926600;\n\nNow we have done all the calculations. Derived variables are:\nV926600 = 10;\nV453373 = 10;\n\nNow we have finished this problem. ANSWER:\nV926600, V453373\n", "role": "assistant" } ]

[ "V672380" ]

[ { "content": "<context>\nassign V375928 = V118355 + 1. assign V959941 = V804353 + 1. assign V316558 = V076547. assign V679670 = V956617 - 1. assign V362361 = V990390. assign V662540 = V362361. assign V558927 = V649502 - 1. assign V359480 = V312192 + 1. assign V068276 = V050479 - 1. assign V122932 = V794236 - 1. assign V870136 = V431546 + 1. assign V608089 = V479092 + 1. assign V525617 = V068276 + 1. assign V824371 = V359480. assign V861482 = V649502 - 1. assign V980528 = V337542. assign V971697 = V525617 - 1. assign V457220 = V771646 - 1. assign V232183 = V959941. assign V111516 = V442628 - 1. assign V062950 = V999944 + 1. assign V090558 = V289890 + 1. assign V485410 = V222435 + 1. assign V190454 = V679670 + 1. assign V150456 = V036947. assign V289890 = V999944 - 1. assign V291374 = V134086 + 1. assign V561827 = V956617 + 1. assign V457968 = V047069 - 1. assign V804353 = V915659. assign V047069 = V134086. assign V356011 = V756708 + 1. assign V309931 = V956617. assign V999944 = V431546. assign V948892 = V050479. assign V794236 = V690427 - 1. assign V054186 = V019769 + 1. assign V337542 = V134086 - 1. assign V760434 = V794236 + 1. assign V442628 = V121071 + 1. assign V925394 = V101242. assign V167976 = V241330 + 1. assign V690427 = V804353 - 1. assign V915659 = V649502. assign V422570 = V134201 + 1. assign V217748 = V054186 - 1. assign V958754 = V649502 - 1. assign V431546 = V990390 - 1. assign V317454 = V485410. assign V990390 = V457968. assign V150054 = V118355. assign V630287 = V485410 + 1. assign V050479 = V337542 + 1. assign V312192 = V956617 - 1. assign V008354 = V134086. assign V036947 = V457968 + 1. assign V076547 = V804353 - 1. assign V588965 = V948892. assign V375331 = V232183. assign V943780 = V804353 - 1. assign V070409 = V649502 - 1. assign V472421 = V054186. assign V101242 = V217748 - 1. assign V589051 = V289890. assign V019769 = V134086 + 1. assign V595409 = V525617 - 1. assign V329889 = V054186. assign V479092 = V359480 - 1. assign V750651 = 5. assign V010174 = V019769 - 1. assign V134201 = V076547 + 1. assign V757321 = V990390 + 1. assign V222435 = V019769 + 1. assign V118355 = V649502. assign V123243 = V317454 - 1. assign V672380 = V750651 + 1. assign V121071 = V861482 + 1. assign V393982 = V008354 - 1. assign V771646 = V008354 - 1. assign V683415 = V337542. assign V232816 = V050479. assign V956617 = V134086 + 1. assign V241330 = V861482 + 1. assign V134086 = V649502 + 1. assign V756708 = V076547 + 1. assign V366950 = V760434.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V375928 = V118355 + 1. assign V959941 = V804353 + 1. assign V316558 = V076547. assign V679670 = V956617 - 1. assign V362361 = V990390. assign V662540 = V362361. assign V558927 = V649502 - 1. assign V359480 = V312192 + 1. assign V068276 = V050479 - 1. assign V122932 = V794236 - 1. assign V870136 = V431546 + 1. assign V608089 = V479092 + 1. assign V525617 = V068276 + 1. assign V824371 = V359480. assign V861482 = V649502 - 1. assign V980528 = V337542. assign V971697 = V525617 - 1. assign V457220 = V771646 - 1. assign V232183 = V959941. assign V111516 = V442628 - 1. assign V062950 = V999944 + 1. assign V090558 = V289890 + 1. assign V485410 = V222435 + 1. assign V190454 = V679670 + 1. assign V150456 = V036947. assign V289890 = V999944 - 1. assign V291374 = V134086 + 1. assign V561827 = V956617 + 1. assign V457968 = V047069 - 1. assign V804353 = V915659. assign V047069 = V134086. assign V356011 = V756708 + 1. assign V309931 = V956617. assign V999944 = V431546. assign V948892 = V050479. assign V794236 = V690427 - 1. assign V054186 = V019769 + 1. assign V337542 = V134086 - 1. assign V760434 = V794236 + 1. assign V442628 = V121071 + 1. assign V925394 = V101242. assign V167976 = V241330 + 1. assign V690427 = V804353 - 1. assign V915659 = V649502. assign V422570 = V134201 + 1. assign V217748 = V054186 - 1. assign V958754 = V649502 - 1. assign V431546 = V990390 - 1. assign V317454 = V485410. assign V990390 = V457968. assign V150054 = V118355. assign V630287 = V485410 + 1. assign V050479 = V337542 + 1. assign V312192 = V956617 - 1. assign V008354 = V134086. assign V036947 = V457968 + 1. assign V076547 = V804353 - 1. assign V588965 = V948892. assign V375331 = V232183. assign V943780 = V804353 - 1. assign V070409 = V649502 - 1. assign V472421 = V054186. assign V101242 = V217748 - 1. assign V589051 = V289890. assign V019769 = V134086 + 1. assign V595409 = V525617 - 1. assign V329889 = V054186. assign V479092 = V359480 - 1. assign V750651 = 5. assign V010174 = V019769 - 1. assign V134201 = V076547 + 1. assign V757321 = V990390 + 1. assign V222435 = V019769 + 1. assign V118355 = V649502. assign V123243 = V317454 - 1. assign V672380 = V750651 + 1. assign V121071 = V861482 + 1. assign V393982 = V008354 - 1. assign V771646 = V008354 - 1. assign V683415 = V337542. assign V232816 = V050479. assign V956617 = V134086 + 1. assign V241330 = V861482 + 1. assign V134086 = V649502 + 1. assign V756708 = V076547 + 1. assign V366950 = V760434.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV750651 = 5;\n\nFrom these direct assignment(s), we have: \nV672380 = V750651 + 1 = 5 + 1 =6;\nNo other variables can be derived from V672380;\nNo other variables can be derived from V750651;\n\nNow we have done all the calculations. Derived variables are:\nV750651 = 5;\nV672380 = 6;\n\nNow we have finished this problem. ANSWER:\nV672380\n", "role": "assistant" } ]

[ "V835976" ]

[ { "content": "<context>\nassign V409829 = V025077. assign V609349 = V716284 - 1. assign V476938 = V605198. assign V450805 = V690437 + 1. assign V683016 = V369320 - 1. assign V899050 = V598428. assign V399287 = V100848 - 1. assign V642058 = V476938 - 1. assign V753106 = V679170 + 1. assign V206535 = V520500. assign V263240 = V748758. assign V723801 = V677600. assign V449043 = V629297 + 1. assign V176758 = V753106 + 1. assign V482750 = V899050. assign V489144 = V598428 - 1. assign V473563 = V629297. assign V217068 = V515212. assign V600875 = V622199. assign V060984 = V520500 + 1. assign V172966 = V176758 + 1. assign V629297 = V100848 - 1. assign V508223 = V369320 + 1. assign V733239 = V473563. assign V138451 = V629297. assign V826278 = V386383 - 1. assign V225430 = V629297 - 1. assign V170663 = V409829 - 1. assign V986266 = V892035 - 1. assign V537729 = V138451. assign V970241 = V450805 + 1. assign V434630 = V482750 + 1. assign V911972 = V732363 + 1. assign V732363 = V041889. assign V232635 = V826278 + 1. assign V358998 = V138451 - 1. assign V505973 = V723801 + 1. assign V996645 = V060984 + 1. assign V690437 = V605198 - 1. assign V622199 = V100848 + 1. assign V896966 = V405041. assign V405041 = V723801. assign V315638 = V677600 - 1. assign V329468 = V434630 + 1. assign V886813 = V600875 + 1. assign V987137 = V598428. assign V864052 = V176758 - 1. assign V598096 = V266867 + 1. assign V892035 = V545978 + 1. assign V515117 = V170663 + 1. assign V251822 = V450805 - 1. assign V921455 = V605198. assign V748758 = V399287 + 1. assign V743840 = V598428. assign V274936 = V748758 - 1. assign V676451 = V835976 + 1. assign V922010 = V267625. assign V069853 = V921455 - 1. assign V266867 = V899050 - 1. assign V862534 = V996645. assign V386383 = V723801. assign V638928 = V432685 + 1. assign V369320 = V545978 - 1. assign V562592 = V025077. assign V515212 = V683016. assign V025077 = V315638 - 1. assign V895820 = V508223 - 1. assign V716284 = V723801. assign V677600 = V605198 - 1. assign V041889 = V508223 - 1. assign V726345 = V622199 + 1. assign V392752 = V743840 - 1. assign V100848 = V545978 - 1. assign V022560 = V138451 + 1. assign V315376 = V399287. assign V679170 = V826278 + 1. assign V073472 = V315376 - 1. assign V598428 = V473563 + 1. assign V267625 = V450805 - 1. assign V432685 = V605198 - 1. assign V520500 = V622199 + 1. assign V295298 = V638928 + 1. assign V545978 = V476938 + 1. assign V420217 = V315376 + 1. assign V234148 = V892035 - 1. assign V835976 = 8.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V409829 = V025077. assign V609349 = V716284 - 1. assign V476938 = V605198. assign V450805 = V690437 + 1. assign V683016 = V369320 - 1. assign V899050 = V598428. assign V399287 = V100848 - 1. assign V642058 = V476938 - 1. assign V753106 = V679170 + 1. assign V206535 = V520500. assign V263240 = V748758. assign V723801 = V677600. assign V449043 = V629297 + 1. assign V176758 = V753106 + 1. assign V482750 = V899050. assign V489144 = V598428 - 1. assign V473563 = V629297. assign V217068 = V515212. assign V600875 = V622199. assign V060984 = V520500 + 1. assign V172966 = V176758 + 1. assign V629297 = V100848 - 1. assign V508223 = V369320 + 1. assign V733239 = V473563. assign V138451 = V629297. assign V826278 = V386383 - 1. assign V225430 = V629297 - 1. assign V170663 = V409829 - 1. assign V986266 = V892035 - 1. assign V537729 = V138451. assign V970241 = V450805 + 1. assign V434630 = V482750 + 1. assign V911972 = V732363 + 1. assign V732363 = V041889. assign V232635 = V826278 + 1. assign V358998 = V138451 - 1. assign V505973 = V723801 + 1. assign V996645 = V060984 + 1. assign V690437 = V605198 - 1. assign V622199 = V100848 + 1. assign V896966 = V405041. assign V405041 = V723801. assign V315638 = V677600 - 1. assign V329468 = V434630 + 1. assign V886813 = V600875 + 1. assign V987137 = V598428. assign V864052 = V176758 - 1. assign V598096 = V266867 + 1. assign V892035 = V545978 + 1. assign V515117 = V170663 + 1. assign V251822 = V450805 - 1. assign V921455 = V605198. assign V748758 = V399287 + 1. assign V743840 = V598428. assign V274936 = V748758 - 1. assign V676451 = V835976 + 1. assign V922010 = V267625. assign V069853 = V921455 - 1. assign V266867 = V899050 - 1. assign V862534 = V996645. assign V386383 = V723801. assign V638928 = V432685 + 1. assign V369320 = V545978 - 1. assign V562592 = V025077. assign V515212 = V683016. assign V025077 = V315638 - 1. assign V895820 = V508223 - 1. assign V716284 = V723801. assign V677600 = V605198 - 1. assign V041889 = V508223 - 1. assign V726345 = V622199 + 1. assign V392752 = V743840 - 1. assign V100848 = V545978 - 1. assign V022560 = V138451 + 1. assign V315376 = V399287. assign V679170 = V826278 + 1. assign V073472 = V315376 - 1. assign V598428 = V473563 + 1. assign V267625 = V450805 - 1. assign V432685 = V605198 - 1. assign V520500 = V622199 + 1. assign V295298 = V638928 + 1. assign V545978 = V476938 + 1. assign V420217 = V315376 + 1. assign V234148 = V892035 - 1. assign V835976 = 8.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV835976 = 8;\n\nFrom these direct assignment(s), we have: \nV676451 = V835976 + 1 = 8 + 1 =9;\nNo other variables can be derived from V676451;\nNo other variables can be derived from V835976;\n\nNow we have done all the calculations. Derived variables are:\nV835976 = 8;\nV676451 = 9;\n\nNow we have finished this problem. ANSWER:\nV835976\n", "role": "assistant" } ]

[ "V428616" ]

[ { "content": "<context>\nassign V375825 = V039311 - 1. assign V841888 = V625468 + 1. assign V051292 = V168859 - 1. assign V605743 = V017349 + 1. assign V839036 = V621165 - 1. assign V469971 = V639026 + 1. assign V718231 = V479821. assign V215199 = V839036 - 1. assign V377235 = V553941 + 1. assign V090091 = V941865 + 1. assign V700995 = V215199 + 1. assign V805475 = V831311 + 1. assign V155949 = V947747 + 1. assign V651436 = V004948. assign V247655 = V215199 - 1. assign V140754 = V720789. assign V880846 = V639026 - 1. assign V016948 = V605743. assign V081191 = V039311 + 1. assign V812169 = V553941 - 1. assign V790197 = V605743. assign V479821 = V941865. assign V658847 = V625468. assign V612558 = V701358. assign V465720 = V039311. assign V847074 = V168859. assign V015217 = V631411. assign V585556 = V913255. assign V548473 = V554036 + 1. assign V484889 = V433143 - 1. assign V553941 = V621165. assign V631411 = V323948 + 1. assign V625468 = V553941. assign V729824 = V039311. assign V981773 = V039311. assign V004948 = V831311 - 1. assign V953072 = V619307. assign V688737 = V720789. assign V053981 = V799331 - 1. assign V525298 = V720789 - 1. assign V230264 = V585556 - 1. assign V639026 = V215199. assign V653486 = V151127. assign V720789 = V941865 - 1. assign V048322 = V946328 + 1. assign V931674 = V605743 + 1. assign V933019 = V230264 - 1. assign V168859 = V627584 - 1. assign V448782 = V621165. assign V531286 = V729824 + 1. assign V773977 = V053981 - 1. assign V159112 = V941865. assign V009033 = V484889 - 1. assign V151127 = V700995 - 1. assign V728278 = V639026 + 1. assign V700752 = V728278. assign V059165 = V608238 - 1. assign V428616 = 5. assign V014050 = V639026 + 1. assign V619307 = V017349 + 1. assign V608238 = V479821. assign V831311 = V017349. assign V627584 = V621165. assign V474856 = V931674. assign V947747 = V140754. assign V701358 = V621165 + 1. assign V017349 = V839036 - 1. assign V598305 = V639026 + 1. assign V039311 = V720789 - 1. assign V730496 = V039311 + 1. assign V080297 = V812169 + 1. assign V111503 = V553941 - 1. assign V045873 = V639026 - 1. assign V946332 = V605743 + 1. assign V433143 = V790197 - 1. assign V554036 = V790197 + 1. assign V799331 = V168859 - 1. assign V913255 = V553941 - 1. assign V323948 = V941865 - 1. assign V400189 = V428616 + 1. assign V946328 = V039311 - 1. assign V888171 = V720789. assign V621165 = V941865 + 1. assign V977787 = V215199. assign V089850 = V605743 + 1. assign V565963 = V619307 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V375825 = V039311 - 1. assign V841888 = V625468 + 1. assign V051292 = V168859 - 1. assign V605743 = V017349 + 1. assign V839036 = V621165 - 1. assign V469971 = V639026 + 1. assign V718231 = V479821. assign V215199 = V839036 - 1. assign V377235 = V553941 + 1. assign V090091 = V941865 + 1. assign V700995 = V215199 + 1. assign V805475 = V831311 + 1. assign V155949 = V947747 + 1. assign V651436 = V004948. assign V247655 = V215199 - 1. assign V140754 = V720789. assign V880846 = V639026 - 1. assign V016948 = V605743. assign V081191 = V039311 + 1. assign V812169 = V553941 - 1. assign V790197 = V605743. assign V479821 = V941865. assign V658847 = V625468. assign V612558 = V701358. assign V465720 = V039311. assign V847074 = V168859. assign V015217 = V631411. assign V585556 = V913255. assign V548473 = V554036 + 1. assign V484889 = V433143 - 1. assign V553941 = V621165. assign V631411 = V323948 + 1. assign V625468 = V553941. assign V729824 = V039311. assign V981773 = V039311. assign V004948 = V831311 - 1. assign V953072 = V619307. assign V688737 = V720789. assign V053981 = V799331 - 1. assign V525298 = V720789 - 1. assign V230264 = V585556 - 1. assign V639026 = V215199. assign V653486 = V151127. assign V720789 = V941865 - 1. assign V048322 = V946328 + 1. assign V931674 = V605743 + 1. assign V933019 = V230264 - 1. assign V168859 = V627584 - 1. assign V448782 = V621165. assign V531286 = V729824 + 1. assign V773977 = V053981 - 1. assign V159112 = V941865. assign V009033 = V484889 - 1. assign V151127 = V700995 - 1. assign V728278 = V639026 + 1. assign V700752 = V728278. assign V059165 = V608238 - 1. assign V428616 = 5. assign V014050 = V639026 + 1. assign V619307 = V017349 + 1. assign V608238 = V479821. assign V831311 = V017349. assign V627584 = V621165. assign V474856 = V931674. assign V947747 = V140754. assign V701358 = V621165 + 1. assign V017349 = V839036 - 1. assign V598305 = V639026 + 1. assign V039311 = V720789 - 1. assign V730496 = V039311 + 1. assign V080297 = V812169 + 1. assign V111503 = V553941 - 1. assign V045873 = V639026 - 1. assign V946332 = V605743 + 1. assign V433143 = V790197 - 1. assign V554036 = V790197 + 1. assign V799331 = V168859 - 1. assign V913255 = V553941 - 1. assign V323948 = V941865 - 1. assign V400189 = V428616 + 1. assign V946328 = V039311 - 1. assign V888171 = V720789. assign V621165 = V941865 + 1. assign V977787 = V215199. assign V089850 = V605743 + 1. assign V565963 = V619307 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV428616 = 5;\n\nFrom these direct assignment(s), we have: \nV400189 = V428616 + 1 = 5 + 1 =6;\nNo other variables can be derived from V400189;\nNo other variables can be derived from V428616;\n\nNow we have done all the calculations. Derived variables are:\nV428616 = 5;\nV400189 = 6;\n\nNow we have finished this problem. ANSWER:\nV428616\n", "role": "assistant" } ]

[ "V761044" ]

[ { "content": "<context>\nassign V824450 = V481682 - 1. assign V884239 = V277649 + 1. assign V343751 = V826546. assign V087014 = V147176 + 1. assign V147176 = V235197. assign V567046 = V431137. assign V277067 = V487107 - 1. assign V017062 = V569908 + 1. assign V456576 = V898251 + 1. assign V516451 = V799470 + 1. assign V706963 = V431137 + 1. assign V704855 = V017062 - 1. assign V046733 = V341893 + 1. assign V577483 = V962571. assign V025435 = V828355 - 1. assign V570106 = V625542 - 1. assign V325399 = V826546. assign V447124 = V570106 + 1. assign V838937 = V397483 - 1. assign V195518 = V025435 - 1. assign V235197 = V316046 - 1. assign V999277 = V591064. assign V114171 = V046733. assign V962389 = V871485. assign V591064 = V771383 - 1. assign V828355 = V591677 + 1. assign V377173 = V046733 + 1. assign V405612 = 7. assign V614034 = V608382. assign V481682 = V487107 - 1. assign V569908 = V343751 - 1. assign V871485 = V608382. assign V799470 = V397483 + 1. assign V993073 = V625542 - 1. assign V120195 = V619109 - 1. assign V826546 = V046733 + 1. assign V475067 = V277649 - 1. assign V431137 = V046733 + 1. assign V735989 = V826546 - 1. assign V625542 = V826546 - 1. assign V538129 = V567046 - 1. assign V751008 = V487107 + 1. assign V428949 = V625542. assign V284970 = V377173 - 1. assign V771383 = V377173 - 1. assign V608382 = V481682 + 1. assign V113675 = V046733 - 1. assign V394902 = V591677 + 1. assign V806708 = V113675 - 1. assign V851968 = V481682. assign V611822 = V500829 + 1. assign V316046 = V824450 - 1. assign V682714 = V806708 - 1. assign V500829 = V150178. assign V481768 = V431137 - 1. assign V454805 = V341893 + 1. assign V962571 = V377173 - 1. assign V677767 = V826546 - 1. assign V619109 = V481682. assign V746323 = V377173. assign V635290 = V114171. assign V447637 = V714291 + 1. assign V607438 = V591064 + 1. assign V428789 = V962571. assign V733842 = V113675 - 1. assign V012315 = V481768 - 1. assign V550938 = V284970 + 1. assign V325677 = V828355 - 1. assign V605769 = V377173 + 1. assign V277649 = V046733 + 1. assign V898251 = V046733 + 1. assign V487107 = V431137 - 1. assign V150178 = V487107 - 1. assign V633227 = V591677. assign V591677 = V341893 + 1. assign V443539 = V591064 + 1. assign V514754 = V481768. assign V397483 = V428789 + 1. assign V714291 = V150178. assign V761044 = V405612 + 1. assign V050161 = V500829 + 1. assign V990209 = V454805. assign V443177 = V591677 + 1. assign V053826 = V625542 + 1. assign V980197 = V456576 + 1. assign V861078 = V113675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V824450 = V481682 - 1. assign V884239 = V277649 + 1. assign V343751 = V826546. assign V087014 = V147176 + 1. assign V147176 = V235197. assign V567046 = V431137. assign V277067 = V487107 - 1. assign V017062 = V569908 + 1. assign V456576 = V898251 + 1. assign V516451 = V799470 + 1. assign V706963 = V431137 + 1. assign V704855 = V017062 - 1. assign V046733 = V341893 + 1. assign V577483 = V962571. assign V025435 = V828355 - 1. assign V570106 = V625542 - 1. assign V325399 = V826546. assign V447124 = V570106 + 1. assign V838937 = V397483 - 1. assign V195518 = V025435 - 1. assign V235197 = V316046 - 1. assign V999277 = V591064. assign V114171 = V046733. assign V962389 = V871485. assign V591064 = V771383 - 1. assign V828355 = V591677 + 1. assign V377173 = V046733 + 1. assign V405612 = 7. assign V614034 = V608382. assign V481682 = V487107 - 1. assign V569908 = V343751 - 1. assign V871485 = V608382. assign V799470 = V397483 + 1. assign V993073 = V625542 - 1. assign V120195 = V619109 - 1. assign V826546 = V046733 + 1. assign V475067 = V277649 - 1. assign V431137 = V046733 + 1. assign V735989 = V826546 - 1. assign V625542 = V826546 - 1. assign V538129 = V567046 - 1. assign V751008 = V487107 + 1. assign V428949 = V625542. assign V284970 = V377173 - 1. assign V771383 = V377173 - 1. assign V608382 = V481682 + 1. assign V113675 = V046733 - 1. assign V394902 = V591677 + 1. assign V806708 = V113675 - 1. assign V851968 = V481682. assign V611822 = V500829 + 1. assign V316046 = V824450 - 1. assign V682714 = V806708 - 1. assign V500829 = V150178. assign V481768 = V431137 - 1. assign V454805 = V341893 + 1. assign V962571 = V377173 - 1. assign V677767 = V826546 - 1. assign V619109 = V481682. assign V746323 = V377173. assign V635290 = V114171. assign V447637 = V714291 + 1. assign V607438 = V591064 + 1. assign V428789 = V962571. assign V733842 = V113675 - 1. assign V012315 = V481768 - 1. assign V550938 = V284970 + 1. assign V325677 = V828355 - 1. assign V605769 = V377173 + 1. assign V277649 = V046733 + 1. assign V898251 = V046733 + 1. assign V487107 = V431137 - 1. assign V150178 = V487107 - 1. assign V633227 = V591677. assign V591677 = V341893 + 1. assign V443539 = V591064 + 1. assign V514754 = V481768. assign V397483 = V428789 + 1. assign V714291 = V150178. assign V761044 = V405612 + 1. assign V050161 = V500829 + 1. assign V990209 = V454805. assign V443177 = V591677 + 1. assign V053826 = V625542 + 1. assign V980197 = V456576 + 1. assign V861078 = V113675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV405612 = 7;\n\nFrom these direct assignment(s), we have: \nV761044 = V405612 + 1 = 7 + 1 =8;\nNo other variables can be derived from V761044;\nNo other variables can be derived from V405612;\n\nNow we have done all the calculations. Derived variables are:\nV405612 = 7;\nV761044 = 8;\n\nNow we have finished this problem. ANSWER:\nV761044\n", "role": "assistant" } ]

[ "V281563" ]

[ { "content": "<context>\nassign V485150 = V100941. assign V185231 = V930249. assign V211536 = V123207 - 1. assign V612157 = 2. assign V532876 = V635621 - 1. assign V017643 = V539557 - 1. assign V855770 = V185183. assign V202135 = V623636 + 1. assign V635621 = V123207 + 1. assign V123207 = V185183. assign V719280 = V100941. assign V973565 = V582059 - 1. assign V231107 = V985815 + 1. assign V782138 = V027697 - 1. assign V215898 = V532876. assign V338397 = V970072 + 1. assign V121285 = V338214 - 1. assign V623636 = V930249 - 1. assign V027697 = V293283. assign V903737 = V231107 - 1. assign V986787 = V845570. assign V482729 = V539557 + 1. assign V595735 = V635621 - 1. assign V442104 = V623397. assign V748012 = V203755 - 1. assign V575767 = V585427 - 1. assign V411357 = V399247 + 1. assign V288996 = V532876 - 1. assign V132659 = V845570 - 1. assign V481885 = V888332 + 1. assign V027665 = V968633. assign V501202 = V027665 - 1. assign V449562 = V308463. assign V377770 = V589839 - 1. assign V623397 = V472740. assign V187266 = V539557. assign V007593 = V970072. assign V459143 = V930249 - 1. assign V097463 = V930249. assign V030667 = V928154. assign V001062 = V123207 + 1. assign V564325 = V067517 + 1. assign V928154 = V100941. assign V585427 = V930249. assign V308463 = V007593. assign V734771 = V582059. assign V965433 = V472740. assign V609504 = V424313 - 1. assign V195665 = V985815. assign V973772 = V985815 - 1. assign V582059 = V970072. assign V853209 = V459143 - 1. assign V007174 = V855770 + 1. assign V293283 = V930249 + 1. assign V399247 = V845570. assign V648368 = V581534. assign V995523 = V845570 - 1. assign V805424 = V123207 - 1. assign V281563 = V612157 - 1. assign V919644 = V970072 - 1. assign V067517 = V211536. assign V203755 = V123207 + 1. assign V510649 = V459143. assign V623497 = V985815 - 1. assign V888332 = V585427. assign V968633 = V928154 + 1. assign V338214 = V585427 + 1. assign V985815 = V970072. assign V841918 = V623636 + 1. assign V684783 = V202135 - 1. assign V472740 = V928154 - 1. assign V502844 = V231107 + 1. assign V589839 = V424313 + 1. assign V581534 = V211536. assign V919741 = V985815 + 1. assign V930249 = V100941 - 1. assign V553353 = V623497 + 1. assign V185183 = V100941 - 1. assign V970072 = V928154 + 1. assign V845570 = V919741 - 1. assign V539557 = V185183 + 1. assign V799716 = V919741. assign V899428 = V930249. assign V162069 = V030667 + 1. assign V153162 = V123207 - 1. assign V424313 = V919644 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V485150 = V100941. assign V185231 = V930249. assign V211536 = V123207 - 1. assign V612157 = 2. assign V532876 = V635621 - 1. assign V017643 = V539557 - 1. assign V855770 = V185183. assign V202135 = V623636 + 1. assign V635621 = V123207 + 1. assign V123207 = V185183. assign V719280 = V100941. assign V973565 = V582059 - 1. assign V231107 = V985815 + 1. assign V782138 = V027697 - 1. assign V215898 = V532876. assign V338397 = V970072 + 1. assign V121285 = V338214 - 1. assign V623636 = V930249 - 1. assign V027697 = V293283. assign V903737 = V231107 - 1. assign V986787 = V845570. assign V482729 = V539557 + 1. assign V595735 = V635621 - 1. assign V442104 = V623397. assign V748012 = V203755 - 1. assign V575767 = V585427 - 1. assign V411357 = V399247 + 1. assign V288996 = V532876 - 1. assign V132659 = V845570 - 1. assign V481885 = V888332 + 1. assign V027665 = V968633. assign V501202 = V027665 - 1. assign V449562 = V308463. assign V377770 = V589839 - 1. assign V623397 = V472740. assign V187266 = V539557. assign V007593 = V970072. assign V459143 = V930249 - 1. assign V097463 = V930249. assign V030667 = V928154. assign V001062 = V123207 + 1. assign V564325 = V067517 + 1. assign V928154 = V100941. assign V585427 = V930249. assign V308463 = V007593. assign V734771 = V582059. assign V965433 = V472740. assign V609504 = V424313 - 1. assign V195665 = V985815. assign V973772 = V985815 - 1. assign V582059 = V970072. assign V853209 = V459143 - 1. assign V007174 = V855770 + 1. assign V293283 = V930249 + 1. assign V399247 = V845570. assign V648368 = V581534. assign V995523 = V845570 - 1. assign V805424 = V123207 - 1. assign V281563 = V612157 - 1. assign V919644 = V970072 - 1. assign V067517 = V211536. assign V203755 = V123207 + 1. assign V510649 = V459143. assign V623497 = V985815 - 1. assign V888332 = V585427. assign V968633 = V928154 + 1. assign V338214 = V585427 + 1. assign V985815 = V970072. assign V841918 = V623636 + 1. assign V684783 = V202135 - 1. assign V472740 = V928154 - 1. assign V502844 = V231107 + 1. assign V589839 = V424313 + 1. assign V581534 = V211536. assign V919741 = V985815 + 1. assign V930249 = V100941 - 1. assign V553353 = V623497 + 1. assign V185183 = V100941 - 1. assign V970072 = V928154 + 1. assign V845570 = V919741 - 1. assign V539557 = V185183 + 1. assign V799716 = V919741. assign V899428 = V930249. assign V162069 = V030667 + 1. assign V153162 = V123207 - 1. assign V424313 = V919644 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV612157 = 2;\n\nFrom these direct assignment(s), we have: \nV281563 = V612157 - 1 = 2 - 1 =1;\nNo other variables can be derived from V281563;\nNo other variables can be derived from V612157;\n\nNow we have done all the calculations. Derived variables are:\nV612157 = 2;\nV281563 = 1;\n\nNow we have finished this problem. ANSWER:\nV281563\n", "role": "assistant" } ]

[ "V032753" ]

[ { "content": "<context>\nassign V999701 = V173930 - 1. assign V296580 = V567516. assign V663520 = V061165 - 1. assign V759932 = V914312 - 1. assign V040674 = V454747 + 1. assign V240989 = V672379 - 1. assign V730127 = V754240. assign V649322 = V997504 + 1. assign V018878 = V446133 - 1. assign V672379 = V413718 + 1. assign V000697 = V817901 - 1. assign V997504 = V413718. assign V175796 = V997504 + 1. assign V730163 = V446133 - 1. assign V736975 = V065477 - 1. assign V140431 = V928521 + 1. assign V466826 = V529164. assign V446133 = V065477 - 1. assign V825076 = V140431 - 1. assign V545506 = V631699 + 1. assign V065477 = V006972 - 1. assign V518033 = V833942. assign V886075 = V754240 - 1. assign V143790 = V286392. assign V081823 = V082500. assign V650090 = V482926. assign V741621 = V833942 - 1. assign V032753 = V637101 - 1. assign V962608 = V879384. assign V507994 = V482926 - 1. assign V202949 = V663520 - 1. assign V286392 = V367696 + 1. assign V511047 = V413718 - 1. assign V173930 = V661346 + 1. assign V066403 = V817901 + 1. assign V010682 = V006972. assign V914312 = V082500 + 1. assign V082626 = V296580 - 1. assign V888967 = V741621. assign V454747 = V096590. assign V006972 = V730127 - 1. assign V541782 = V730127. assign V770887 = V413718 - 1. assign V240545 = V413718 - 1. assign V482926 = V817901. assign V833942 = V482926. assign V417317 = V240545. assign V205902 = V661346 - 1. assign V400156 = V650090. assign V106586 = V759932 + 1. assign V602989 = V888967 - 1. assign V158213 = V511047 - 1. assign V395079 = V175796 + 1. assign V139039 = V040674. assign V802950 = V296580 + 1. assign V928521 = V006972 - 1. assign V972646 = V240545 - 1. assign V070140 = V650090 - 1. assign V096590 = V972646 - 1. assign V335840 = V205902 + 1. assign V661346 = V296580 - 1. assign V301997 = V672379 + 1. assign V618634 = V802950 + 1. assign V082500 = V158213. assign V754240 = V413718 + 1. assign V095575 = V482926 - 1. assign V018752 = V672379 + 1. assign V637101 = 4. assign V061165 = V817901 - 1. assign V567516 = V240545 + 1. assign V870032 = V650090. assign V413718 = V367696 - 1. assign V834401 = V413718 + 1. assign V823520 = V066403 + 1. assign V631699 = V143790 + 1. assign V817901 = V367696 - 1. assign V935589 = V817901. assign V596610 = V650090 - 1. assign V131850 = V507994. assign V708037 = V296580 - 1. assign V039583 = V736975 - 1. assign V303591 = V596610 + 1. assign V262447 = V886075. assign V879384 = V650090. assign V529164 = V802950. assign V619672 = V567516.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V999701 = V173930 - 1. assign V296580 = V567516. assign V663520 = V061165 - 1. assign V759932 = V914312 - 1. assign V040674 = V454747 + 1. assign V240989 = V672379 - 1. assign V730127 = V754240. assign V649322 = V997504 + 1. assign V018878 = V446133 - 1. assign V672379 = V413718 + 1. assign V000697 = V817901 - 1. assign V997504 = V413718. assign V175796 = V997504 + 1. assign V730163 = V446133 - 1. assign V736975 = V065477 - 1. assign V140431 = V928521 + 1. assign V466826 = V529164. assign V446133 = V065477 - 1. assign V825076 = V140431 - 1. assign V545506 = V631699 + 1. assign V065477 = V006972 - 1. assign V518033 = V833942. assign V886075 = V754240 - 1. assign V143790 = V286392. assign V081823 = V082500. assign V650090 = V482926. assign V741621 = V833942 - 1. assign V032753 = V637101 - 1. assign V962608 = V879384. assign V507994 = V482926 - 1. assign V202949 = V663520 - 1. assign V286392 = V367696 + 1. assign V511047 = V413718 - 1. assign V173930 = V661346 + 1. assign V066403 = V817901 + 1. assign V010682 = V006972. assign V914312 = V082500 + 1. assign V082626 = V296580 - 1. assign V888967 = V741621. assign V454747 = V096590. assign V006972 = V730127 - 1. assign V541782 = V730127. assign V770887 = V413718 - 1. assign V240545 = V413718 - 1. assign V482926 = V817901. assign V833942 = V482926. assign V417317 = V240545. assign V205902 = V661346 - 1. assign V400156 = V650090. assign V106586 = V759932 + 1. assign V602989 = V888967 - 1. assign V158213 = V511047 - 1. assign V395079 = V175796 + 1. assign V139039 = V040674. assign V802950 = V296580 + 1. assign V928521 = V006972 - 1. assign V972646 = V240545 - 1. assign V070140 = V650090 - 1. assign V096590 = V972646 - 1. assign V335840 = V205902 + 1. assign V661346 = V296580 - 1. assign V301997 = V672379 + 1. assign V618634 = V802950 + 1. assign V082500 = V158213. assign V754240 = V413718 + 1. assign V095575 = V482926 - 1. assign V018752 = V672379 + 1. assign V637101 = 4. assign V061165 = V817901 - 1. assign V567516 = V240545 + 1. assign V870032 = V650090. assign V413718 = V367696 - 1. assign V834401 = V413718 + 1. assign V823520 = V066403 + 1. assign V631699 = V143790 + 1. assign V817901 = V367696 - 1. assign V935589 = V817901. assign V596610 = V650090 - 1. assign V131850 = V507994. assign V708037 = V296580 - 1. assign V039583 = V736975 - 1. assign V303591 = V596610 + 1. assign V262447 = V886075. assign V879384 = V650090. assign V529164 = V802950. assign V619672 = V567516.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV637101 = 4;\n\nFrom these direct assignment(s), we have: \nV032753 = V637101 - 1 = 4 - 1 =3;\nNo other variables can be derived from V032753;\nNo other variables can be derived from V637101;\n\nNow we have done all the calculations. Derived variables are:\nV637101 = 4;\nV032753 = 3;\n\nNow we have finished this problem. ANSWER:\nV032753\n", "role": "assistant" } ]

[ "V625855" ]

[ { "content": "<context>\nassign V934158 = V762224. assign V670457 = V685214 - 1. assign V597210 = V730879 - 1. assign V020684 = V684222 - 1. assign V719072 = V756544. assign V058657 = V146074 + 1. assign V356213 = V897944. assign V028922 = V934158 - 1. assign V323932 = V881959 + 1. assign V130115 = V350236. assign V508211 = V524172. assign V324846 = V685214 + 1. assign V226961 = V897944. assign V881959 = V998008 - 1. assign V719456 = V501092 + 1. assign V908119 = V115883 + 1. assign V530113 = V762224 - 1. assign V433088 = V152781 - 1. assign V857705 = V740359 + 1. assign V454353 = V356213 + 1. assign V111903 = V413804 + 1. assign V281906 = V874669. assign V809484 = V256827. assign V874669 = V719072. assign V882694 = V146074. assign V773417 = V115883 + 1. assign V132570 = V115883 + 1. assign V843466 = V670457 + 1. assign V397174 = V553720 - 1. assign V731693 = V397174. assign V625855 = V340155 - 1. assign V357330 = V740359 + 1. assign V183528 = V998008 + 1. assign V526837 = V719072 + 1. assign V717477 = V923658 - 1. assign V277641 = V998008 - 1. assign V665836 = V972984 + 1. assign V553720 = V756544 - 1. assign V079113 = V170047 - 1. assign V152781 = V940688 + 1. assign V725963 = V324846. assign V059482 = V256827 + 1. assign V685214 = V719072 + 1. assign V256827 = V685214 - 1. assign V697562 = V115883. assign V597970 = V874669. assign V316523 = V241061. assign V897944 = V685214. assign V814348 = V226961 + 1. assign V099124 = V857705 - 1. assign V427632 = V897944. assign V684222 = V170047. assign V028336 = V756544 + 1. assign V169644 = V725963 + 1. assign V546583 = V934158 - 1. assign V115883 = V553720 - 1. assign V268453 = V079113. assign V704776 = V115883 - 1. assign V438948 = V492150 - 1. assign V413804 = V940688 - 1. assign V762224 = V553720 - 1. assign V611976 = V553720 + 1. assign V751065 = V665836. assign V501092 = V684222 + 1. assign V085624 = V719456. assign V730879 = V874669. assign V350236 = V115883 - 1. assign V340155 = 5. assign V146074 = V706263 + 1. assign V691939 = V691460 + 1. assign V940688 = V756544 - 1. assign V740359 = V054783. assign V923658 = V530113. assign V998008 = V874669 + 1. assign V768749 = V058657 + 1. assign V713884 = V323932. assign V241061 = V685214 + 1. assign V492150 = V762224 - 1. assign V170047 = V028336. assign V972984 = V706263. assign V314676 = V874669 - 1. assign V054783 = V762224. assign V691460 = V934158 - 1. assign V524172 = V881959 - 1. assign V706263 = V526837 + 1. assign V490594 = V908119 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V934158 = V762224. assign V670457 = V685214 - 1. assign V597210 = V730879 - 1. assign V020684 = V684222 - 1. assign V719072 = V756544. assign V058657 = V146074 + 1. assign V356213 = V897944. assign V028922 = V934158 - 1. assign V323932 = V881959 + 1. assign V130115 = V350236. assign V508211 = V524172. assign V324846 = V685214 + 1. assign V226961 = V897944. assign V881959 = V998008 - 1. assign V719456 = V501092 + 1. assign V908119 = V115883 + 1. assign V530113 = V762224 - 1. assign V433088 = V152781 - 1. assign V857705 = V740359 + 1. assign V454353 = V356213 + 1. assign V111903 = V413804 + 1. assign V281906 = V874669. assign V809484 = V256827. assign V874669 = V719072. assign V882694 = V146074. assign V773417 = V115883 + 1. assign V132570 = V115883 + 1. assign V843466 = V670457 + 1. assign V397174 = V553720 - 1. assign V731693 = V397174. assign V625855 = V340155 - 1. assign V357330 = V740359 + 1. assign V183528 = V998008 + 1. assign V526837 = V719072 + 1. assign V717477 = V923658 - 1. assign V277641 = V998008 - 1. assign V665836 = V972984 + 1. assign V553720 = V756544 - 1. assign V079113 = V170047 - 1. assign V152781 = V940688 + 1. assign V725963 = V324846. assign V059482 = V256827 + 1. assign V685214 = V719072 + 1. assign V256827 = V685214 - 1. assign V697562 = V115883. assign V597970 = V874669. assign V316523 = V241061. assign V897944 = V685214. assign V814348 = V226961 + 1. assign V099124 = V857705 - 1. assign V427632 = V897944. assign V684222 = V170047. assign V028336 = V756544 + 1. assign V169644 = V725963 + 1. assign V546583 = V934158 - 1. assign V115883 = V553720 - 1. assign V268453 = V079113. assign V704776 = V115883 - 1. assign V438948 = V492150 - 1. assign V413804 = V940688 - 1. assign V762224 = V553720 - 1. assign V611976 = V553720 + 1. assign V751065 = V665836. assign V501092 = V684222 + 1. assign V085624 = V719456. assign V730879 = V874669. assign V350236 = V115883 - 1. assign V340155 = 5. assign V146074 = V706263 + 1. assign V691939 = V691460 + 1. assign V940688 = V756544 - 1. assign V740359 = V054783. assign V923658 = V530113. assign V998008 = V874669 + 1. assign V768749 = V058657 + 1. assign V713884 = V323932. assign V241061 = V685214 + 1. assign V492150 = V762224 - 1. assign V170047 = V028336. assign V972984 = V706263. assign V314676 = V874669 - 1. assign V054783 = V762224. assign V691460 = V934158 - 1. assign V524172 = V881959 - 1. assign V706263 = V526837 + 1. assign V490594 = V908119 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV340155 = 5;\n\nFrom these direct assignment(s), we have: \nV625855 = V340155 - 1 = 5 - 1 =4;\nNo other variables can be derived from V625855;\nNo other variables can be derived from V340155;\n\nNow we have done all the calculations. Derived variables are:\nV340155 = 5;\nV625855 = 4;\n\nNow we have finished this problem. ANSWER:\nV625855\n", "role": "assistant" } ]

[ "V103383" ]

[ { "content": "<context>\nassign V793995 = V945935 + 1. assign V281108 = V871089 - 1. assign V257718 = V628714 + 1. assign V864603 = V342230 + 1. assign V124590 = V150037 + 1. assign V351649 = V932364 - 1. assign V150037 = V375395 - 1. assign V485174 = V715146 - 1. assign V293406 = V324180. assign V572665 = V289554. assign V825436 = V389532 + 1. assign V488392 = V871089 + 1. assign V404448 = V904910 - 1. assign V706866 = V193200 + 1. assign V209289 = V451264 + 1. assign V581658 = V578313 - 1. assign V045578 = V278953. assign V552013 = V426540 + 1. assign V565729 = V027967. assign V715146 = V462500. assign V490781 = V845690. assign V426540 = V294072. assign V342230 = V715146. assign V783635 = V193200 + 1. assign V045150 = V375395 - 1. assign V047008 = V462500. assign V193200 = V430940. assign V375395 = V462500. assign V837560 = V729488 + 1. assign V680414 = V458353. assign V478846 = V706866 - 1. assign V289554 = V825436. assign V918467 = V426540 + 1. assign V852990 = V342230 - 1. assign V101331 = V045150 + 1. assign V913337 = V590666 + 1. assign V090844 = V871089 - 1. assign V145484 = V045150 - 1. assign V475742 = V771499 - 1. assign V945935 = V462500. assign V641327 = 8. assign V941251 = V166845 - 1. assign V616152 = V676610 + 1. assign V932364 = V426540 + 1. assign V458353 = V590666. assign V324180 = V462500 - 1. assign V027967 = V059346 + 1. assign V294181 = V389532 - 1. assign V871089 = V045150 + 1. assign V729488 = V332188. assign V059346 = V324180 + 1. assign V125617 = V451264. assign V660113 = V478846. assign V233533 = V793995 + 1. assign V090777 = V193200. assign V294072 = V278953. assign V826713 = V680414 + 1. assign V590666 = V045150 - 1. assign V835010 = V059346 - 1. assign V135187 = V027967 - 1. assign V557329 = V916752 - 1. assign V628714 = V193200 + 1. assign V642114 = V047008 + 1. assign V071835 = V916752 - 1. assign V131307 = V045150. assign V845690 = V257718. assign V451264 = V557329 - 1. assign V619508 = V488392 + 1. assign V844836 = V059346 - 1. assign V166845 = V852990. assign V577046 = V835010 - 1. assign V546658 = V342230. assign V441325 = V628714. assign V676610 = V715146 + 1. assign V651886 = V871089 - 1. assign V771581 = V145484 - 1. assign V103383 = V641327 - 1. assign V430940 = V462500 - 1. assign V332188 = V462500 + 1. assign V389532 = V835010. assign V578313 = V458353 - 1. assign V904910 = V101331 - 1. assign V916752 = V430940. assign V278953 = V715146. assign V589275 = V131307 - 1. assign V771499 = V294072 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V793995 = V945935 + 1. assign V281108 = V871089 - 1. assign V257718 = V628714 + 1. assign V864603 = V342230 + 1. assign V124590 = V150037 + 1. assign V351649 = V932364 - 1. assign V150037 = V375395 - 1. assign V485174 = V715146 - 1. assign V293406 = V324180. assign V572665 = V289554. assign V825436 = V389532 + 1. assign V488392 = V871089 + 1. assign V404448 = V904910 - 1. assign V706866 = V193200 + 1. assign V209289 = V451264 + 1. assign V581658 = V578313 - 1. assign V045578 = V278953. assign V552013 = V426540 + 1. assign V565729 = V027967. assign V715146 = V462500. assign V490781 = V845690. assign V426540 = V294072. assign V342230 = V715146. assign V783635 = V193200 + 1. assign V045150 = V375395 - 1. assign V047008 = V462500. assign V193200 = V430940. assign V375395 = V462500. assign V837560 = V729488 + 1. assign V680414 = V458353. assign V478846 = V706866 - 1. assign V289554 = V825436. assign V918467 = V426540 + 1. assign V852990 = V342230 - 1. assign V101331 = V045150 + 1. assign V913337 = V590666 + 1. assign V090844 = V871089 - 1. assign V145484 = V045150 - 1. assign V475742 = V771499 - 1. assign V945935 = V462500. assign V641327 = 8. assign V941251 = V166845 - 1. assign V616152 = V676610 + 1. assign V932364 = V426540 + 1. assign V458353 = V590666. assign V324180 = V462500 - 1. assign V027967 = V059346 + 1. assign V294181 = V389532 - 1. assign V871089 = V045150 + 1. assign V729488 = V332188. assign V059346 = V324180 + 1. assign V125617 = V451264. assign V660113 = V478846. assign V233533 = V793995 + 1. assign V090777 = V193200. assign V294072 = V278953. assign V826713 = V680414 + 1. assign V590666 = V045150 - 1. assign V835010 = V059346 - 1. assign V135187 = V027967 - 1. assign V557329 = V916752 - 1. assign V628714 = V193200 + 1. assign V642114 = V047008 + 1. assign V071835 = V916752 - 1. assign V131307 = V045150. assign V845690 = V257718. assign V451264 = V557329 - 1. assign V619508 = V488392 + 1. assign V844836 = V059346 - 1. assign V166845 = V852990. assign V577046 = V835010 - 1. assign V546658 = V342230. assign V441325 = V628714. assign V676610 = V715146 + 1. assign V651886 = V871089 - 1. assign V771581 = V145484 - 1. assign V103383 = V641327 - 1. assign V430940 = V462500 - 1. assign V332188 = V462500 + 1. assign V389532 = V835010. assign V578313 = V458353 - 1. assign V904910 = V101331 - 1. assign V916752 = V430940. assign V278953 = V715146. assign V589275 = V131307 - 1. assign V771499 = V294072 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV641327 = 8;\n\nFrom these direct assignment(s), we have: \nV103383 = V641327 - 1 = 8 - 1 =7;\nNo other variables can be derived from V103383;\nNo other variables can be derived from V641327;\n\nNow we have done all the calculations. Derived variables are:\nV641327 = 8;\nV103383 = 7;\n\nNow we have finished this problem. ANSWER:\nV103383\n", "role": "assistant" } ]

[ "V447719", "V475745" ]

[ { "content": "<context>\nassign V437084 = V985359 - 1. assign V996799 = V293810. assign V734054 = V187574 - 1. assign V783284 = V048584. assign V408805 = V533528 + 1. assign V314542 = V863190 - 1. assign V336053 = V474667 + 1. assign V402401 = V917587 + 1. assign V082016 = V298316 + 1. assign V982377 = V849206 - 1. assign V717442 = V847814 + 1. assign V242643 = V314542 + 1. assign V401288 = V285901. assign V981734 = V336053 - 1. assign V060145 = V849206 - 1. assign V385917 = V849206 + 1. assign V474667 = V985359. assign V677843 = V917587 - 1. assign V773674 = V982377. assign V083073 = V638308 + 1. assign V967860 = V847814. assign V100151 = V847814 + 1. assign V843058 = V982377 - 1. assign V413372 = V742822 + 1. assign V885552 = V783284 - 1. assign V849206 = V863190. assign V512532 = V242643 - 1. assign V917587 = V691069 - 1. assign V742485 = V847814 + 1. assign V187574 = V385917. assign V505832 = V474667 + 1. assign V691069 = V985359 - 1. assign V641645 = V899405. assign V797104 = V082016. assign V808919 = V709536 - 1. assign V913959 = V437084 + 1. assign V837592 = V985359 - 1. assign V304261 = V366006. assign V635107 = V912955. assign V285901 = V847814. assign V298316 = V985359 - 1. assign V549201 = V863190. assign V638308 = V336053 - 1. assign V048584 = V385917 + 1. assign V366006 = V385917. assign V742822 = V985359. assign V293810 = V691069. assign V572461 = V100151 - 1. assign V324489 = V092871 + 1. assign V189067 = V847621 - 1. assign V892098 = V474667 + 1. assign V713826 = V783284 + 1. assign V600048 = V385917. assign V863190 = V847814 + 1. assign V211578 = V863190 + 1. assign V894196 = V082016 - 1. assign V811497 = V899405 + 1. assign V533528 = V100151. assign V958786 = V505832 - 1. assign V597757 = V285901 + 1. assign V899405 = V474667 + 1. assign V847621 = V100151 - 1. assign V810159 = V837592. assign V092871 = V717442. assign V638275 = V717442 + 1. assign V911946 = V899405 - 1. assign V860033 = V641645 + 1. assign V786645 = V401288. assign V200559 = V082016 - 1. assign V413620 = V211578 + 1. assign V129418 = V863190 - 1. assign V046421 = V100151. assign V187816 = V385917 - 1. assign V119432 = V701185 - 1. assign V595085 = V366006 + 1. assign V461983 = V048584 - 1. assign V062821 = V742485 - 1. assign V701185 = V314542 - 1. assign V447719 = 0. assign V912955 = V863190. assign V475745 = V447719. assign V009076 = V717442 - 1. assign V709536 = V982377 + 1. assign V867472 = V638275. assign V582020 = V958786 + 1. assign V985359 = V385917 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V437084 = V985359 - 1. assign V996799 = V293810. assign V734054 = V187574 - 1. assign V783284 = V048584. assign V408805 = V533528 + 1. assign V314542 = V863190 - 1. assign V336053 = V474667 + 1. assign V402401 = V917587 + 1. assign V082016 = V298316 + 1. assign V982377 = V849206 - 1. assign V717442 = V847814 + 1. assign V242643 = V314542 + 1. assign V401288 = V285901. assign V981734 = V336053 - 1. assign V060145 = V849206 - 1. assign V385917 = V849206 + 1. assign V474667 = V985359. assign V677843 = V917587 - 1. assign V773674 = V982377. assign V083073 = V638308 + 1. assign V967860 = V847814. assign V100151 = V847814 + 1. assign V843058 = V982377 - 1. assign V413372 = V742822 + 1. assign V885552 = V783284 - 1. assign V849206 = V863190. assign V512532 = V242643 - 1. assign V917587 = V691069 - 1. assign V742485 = V847814 + 1. assign V187574 = V385917. assign V505832 = V474667 + 1. assign V691069 = V985359 - 1. assign V641645 = V899405. assign V797104 = V082016. assign V808919 = V709536 - 1. assign V913959 = V437084 + 1. assign V837592 = V985359 - 1. assign V304261 = V366006. assign V635107 = V912955. assign V285901 = V847814. assign V298316 = V985359 - 1. assign V549201 = V863190. assign V638308 = V336053 - 1. assign V048584 = V385917 + 1. assign V366006 = V385917. assign V742822 = V985359. assign V293810 = V691069. assign V572461 = V100151 - 1. assign V324489 = V092871 + 1. assign V189067 = V847621 - 1. assign V892098 = V474667 + 1. assign V713826 = V783284 + 1. assign V600048 = V385917. assign V863190 = V847814 + 1. assign V211578 = V863190 + 1. assign V894196 = V082016 - 1. assign V811497 = V899405 + 1. assign V533528 = V100151. assign V958786 = V505832 - 1. assign V597757 = V285901 + 1. assign V899405 = V474667 + 1. assign V847621 = V100151 - 1. assign V810159 = V837592. assign V092871 = V717442. assign V638275 = V717442 + 1. assign V911946 = V899405 - 1. assign V860033 = V641645 + 1. assign V786645 = V401288. assign V200559 = V082016 - 1. assign V413620 = V211578 + 1. assign V129418 = V863190 - 1. assign V046421 = V100151. assign V187816 = V385917 - 1. assign V119432 = V701185 - 1. assign V595085 = V366006 + 1. assign V461983 = V048584 - 1. assign V062821 = V742485 - 1. assign V701185 = V314542 - 1. assign V447719 = 0. assign V912955 = V863190. assign V475745 = V447719. assign V009076 = V717442 - 1. assign V709536 = V982377 + 1. assign V867472 = V638275. assign V582020 = V958786 + 1. assign V985359 = V385917 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV447719 = 0;\n\nFrom these direct assignment(s), we have: \nV475745 = V447719 = 0;\nNo other variables can be derived from V475745;\nNo other variables can be derived from V447719;\n\nNow we have done all the calculations. Derived variables are:\nV447719 = 0;\nV475745 = 0;\n\nNow we have finished this problem. ANSWER:\nV447719, V475745\n", "role": "assistant" } ]

[ "V476917", "V455085" ]

[ { "content": "<context>\nassign V919687 = V230346 + 1. assign V899101 = V216745 + 1. assign V230346 = V686600 - 1. assign V218692 = V333253 - 1. assign V475104 = V428767 - 1. assign V856252 = V825092 + 1. assign V489356 = V640881. assign V164873 = V349191. assign V441743 = V902127 + 1. assign V442084 = V899101 + 1. assign V601602 = V428767. assign V530112 = V670991 - 1. assign V750977 = V475104 - 1. assign V576235 = V428767 + 1. assign V523694 = V333253. assign V333253 = V032435 - 1. assign V753087 = V506018. assign V778111 = V576235. assign V455085 = V476917. assign V860493 = V640881 - 1. assign V476917 = 5. assign V603090 = V349191 + 1. assign V112609 = V441743. assign V717959 = V552201 + 1. assign V382690 = V007585. assign V032435 = V007585 - 1. assign V919612 = V994578 - 1. assign V994578 = V333253. assign V360586 = V349191. assign V745923 = V405675 + 1. assign V165163 = V521847 + 1. assign V902127 = V475104. assign V428767 = V405675 + 1. assign V729771 = V751270 - 1. assign V143775 = V919612 + 1. assign V932188 = V475104 + 1. assign V871574 = V601602 + 1. assign V809394 = V871574. assign V953693 = V521847. assign V128294 = V751270. assign V310720 = V552201 - 1. assign V967074 = V552201. assign V924078 = V152428 + 1. assign V793566 = V032435. assign V335661 = V551573. assign V446365 = V405675 - 1. assign V825092 = V073148 + 1. assign V286453 = V382690 - 1. assign V349191 = V405675 + 1. assign V506018 = V851998. assign V766421 = V475104 - 1. assign V611111 = V640881 + 1. assign V306453 = V388379 + 1. assign V016736 = V007585 - 1. assign V005389 = V745923. assign V640881 = V751270 - 1. assign V551573 = V349191 - 1. assign V697037 = V540632 + 1. assign V370350 = V551573 - 1. assign V851998 = V333253 + 1. assign V628758 = V007585. assign V585461 = V717959 - 1. assign V596893 = V199587 + 1. assign V942614 = V751270. assign V396478 = V902127 - 1. assign V540632 = V382690 - 1. assign V686600 = V405675. assign V177527 = V286453. assign V521847 = V576235 + 1. assign V199587 = V446365. assign V392969 = V552201 + 1. assign V388379 = V032435 + 1. assign V552201 = V007585. assign V152428 = V128294. assign V073148 = V717959 - 1. assign V132646 = V388379. assign V913577 = V521847 + 1. assign V621925 = V686600 - 1. assign V007585 = V349191. assign V670991 = V446365 - 1. assign V057486 = V199587. assign V206059 = V164873. assign V216745 = V551573 + 1. assign V751270 = V333253 - 1. assign V229063 = V750977 + 1. assign V089585 = V670991 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V919687 = V230346 + 1. assign V899101 = V216745 + 1. assign V230346 = V686600 - 1. assign V218692 = V333253 - 1. assign V475104 = V428767 - 1. assign V856252 = V825092 + 1. assign V489356 = V640881. assign V164873 = V349191. assign V441743 = V902127 + 1. assign V442084 = V899101 + 1. assign V601602 = V428767. assign V530112 = V670991 - 1. assign V750977 = V475104 - 1. assign V576235 = V428767 + 1. assign V523694 = V333253. assign V333253 = V032435 - 1. assign V753087 = V506018. assign V778111 = V576235. assign V455085 = V476917. assign V860493 = V640881 - 1. assign V476917 = 5. assign V603090 = V349191 + 1. assign V112609 = V441743. assign V717959 = V552201 + 1. assign V382690 = V007585. assign V032435 = V007585 - 1. assign V919612 = V994578 - 1. assign V994578 = V333253. assign V360586 = V349191. assign V745923 = V405675 + 1. assign V165163 = V521847 + 1. assign V902127 = V475104. assign V428767 = V405675 + 1. assign V729771 = V751270 - 1. assign V143775 = V919612 + 1. assign V932188 = V475104 + 1. assign V871574 = V601602 + 1. assign V809394 = V871574. assign V953693 = V521847. assign V128294 = V751270. assign V310720 = V552201 - 1. assign V967074 = V552201. assign V924078 = V152428 + 1. assign V793566 = V032435. assign V335661 = V551573. assign V446365 = V405675 - 1. assign V825092 = V073148 + 1. assign V286453 = V382690 - 1. assign V349191 = V405675 + 1. assign V506018 = V851998. assign V766421 = V475104 - 1. assign V611111 = V640881 + 1. assign V306453 = V388379 + 1. assign V016736 = V007585 - 1. assign V005389 = V745923. assign V640881 = V751270 - 1. assign V551573 = V349191 - 1. assign V697037 = V540632 + 1. assign V370350 = V551573 - 1. assign V851998 = V333253 + 1. assign V628758 = V007585. assign V585461 = V717959 - 1. assign V596893 = V199587 + 1. assign V942614 = V751270. assign V396478 = V902127 - 1. assign V540632 = V382690 - 1. assign V686600 = V405675. assign V177527 = V286453. assign V521847 = V576235 + 1. assign V199587 = V446365. assign V392969 = V552201 + 1. assign V388379 = V032435 + 1. assign V552201 = V007585. assign V152428 = V128294. assign V073148 = V717959 - 1. assign V132646 = V388379. assign V913577 = V521847 + 1. assign V621925 = V686600 - 1. assign V007585 = V349191. assign V670991 = V446365 - 1. assign V057486 = V199587. assign V206059 = V164873. assign V216745 = V551573 + 1. assign V751270 = V333253 - 1. assign V229063 = V750977 + 1. assign V089585 = V670991 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV476917 = 5;\n\nFrom these direct assignment(s), we have: \nV455085 = V476917 = 5;\nNo other variables can be derived from V455085;\nNo other variables can be derived from V476917;\n\nNow we have done all the calculations. Derived variables are:\nV476917 = 5;\nV455085 = 5;\n\nNow we have finished this problem. ANSWER:\nV476917, V455085\n", "role": "assistant" } ]

[ "V827908" ]

[ { "content": "<context>\nassign V556124 = V379869 + 1. assign V679800 = V398389 - 1. assign V456118 = V158383. assign V056810 = V448915 + 1. assign V478514 = V281308 - 1. assign V110342 = V028007 - 1. assign V808125 = V777521 + 1. assign V006264 = V040257 - 1. assign V932572 = V839441 - 1. assign V940191 = V154495. assign V830619 = V708958. assign V972127 = V070291 + 1. assign V070291 = V154495. assign V827908 = 0. assign V065587 = V015404. assign V774435 = V379869 - 1. assign V028007 = V760180 - 1. assign V243673 = V595965. assign V675848 = V689936. assign V466196 = V110342 + 1. assign V567855 = V611736 + 1. assign V277904 = V945147 + 1. assign V708958 = V200496. assign V420891 = V600926 - 1. assign V129592 = V158736 + 1. assign V813847 = V065587 + 1. assign V311108 = V760180. assign V379869 = V600926 - 1. assign V362516 = V311108. assign V544949 = V006264. assign V598835 = V006264 + 1. assign V071457 = V110342 + 1. assign V486271 = V308780. assign V005828 = V454471 + 1. assign V454471 = V379869. assign V945147 = V689936 + 1. assign V689936 = V040257 - 1. assign V587371 = V708958 + 1. assign V308780 = V708958 + 1. assign V991114 = V519473 + 1. assign V281308 = V110342 - 1. assign V237601 = V101251. assign V640346 = V379869 - 1. assign V922164 = V719653 - 1. assign V600926 = V760180 + 1. assign V327150 = V675848. assign V398389 = V379869 - 1. assign V777521 = V940191 + 1. assign V881752 = V065587 - 1. assign V057198 = V158383 - 1. assign V823657 = V666719. assign V327693 = V595897 - 1. assign V111016 = V071457 - 1. assign V101251 = V316550. assign V204337 = V708958 + 1. assign V040257 = V110342. assign V839441 = V823657. assign V595897 = V028007. assign V519473 = V657837 - 1. assign V719653 = V281308. assign V149012 = V657837 - 1. assign V521157 = V478514 + 1. assign V316550 = V311108 + 1. assign V158736 = V200496. assign V200496 = V760180. assign V158383 = V028007 + 1. assign V092694 = V063826 + 1. assign V681850 = V774435 + 1. assign V605701 = V719653 - 1. assign V015404 = V689936. assign V543765 = V808125 + 1. assign V355109 = V149012 - 1. assign V063826 = V070291. assign V611736 = V237601 - 1. assign V595965 = V110342 + 1. assign V657837 = V006264 + 1. assign V529296 = V154495 - 1. assign V562377 = V158383. assign V584823 = V538757 + 1. assign V674243 = V827908 + 1. assign V666719 = V040257 + 1. assign V448915 = V063826 + 1. assign V212330 = V689936 + 1. assign V154495 = V760180. assign V580143 = V065587. assign V538757 = V362516.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V556124 = V379869 + 1. assign V679800 = V398389 - 1. assign V456118 = V158383. assign V056810 = V448915 + 1. assign V478514 = V281308 - 1. assign V110342 = V028007 - 1. assign V808125 = V777521 + 1. assign V006264 = V040257 - 1. assign V932572 = V839441 - 1. assign V940191 = V154495. assign V830619 = V708958. assign V972127 = V070291 + 1. assign V070291 = V154495. assign V827908 = 0. assign V065587 = V015404. assign V774435 = V379869 - 1. assign V028007 = V760180 - 1. assign V243673 = V595965. assign V675848 = V689936. assign V466196 = V110342 + 1. assign V567855 = V611736 + 1. assign V277904 = V945147 + 1. assign V708958 = V200496. assign V420891 = V600926 - 1. assign V129592 = V158736 + 1. assign V813847 = V065587 + 1. assign V311108 = V760180. assign V379869 = V600926 - 1. assign V362516 = V311108. assign V544949 = V006264. assign V598835 = V006264 + 1. assign V071457 = V110342 + 1. assign V486271 = V308780. assign V005828 = V454471 + 1. assign V454471 = V379869. assign V945147 = V689936 + 1. assign V689936 = V040257 - 1. assign V587371 = V708958 + 1. assign V308780 = V708958 + 1. assign V991114 = V519473 + 1. assign V281308 = V110342 - 1. assign V237601 = V101251. assign V640346 = V379869 - 1. assign V922164 = V719653 - 1. assign V600926 = V760180 + 1. assign V327150 = V675848. assign V398389 = V379869 - 1. assign V777521 = V940191 + 1. assign V881752 = V065587 - 1. assign V057198 = V158383 - 1. assign V823657 = V666719. assign V327693 = V595897 - 1. assign V111016 = V071457 - 1. assign V101251 = V316550. assign V204337 = V708958 + 1. assign V040257 = V110342. assign V839441 = V823657. assign V595897 = V028007. assign V519473 = V657837 - 1. assign V719653 = V281308. assign V149012 = V657837 - 1. assign V521157 = V478514 + 1. assign V316550 = V311108 + 1. assign V158736 = V200496. assign V200496 = V760180. assign V158383 = V028007 + 1. assign V092694 = V063826 + 1. assign V681850 = V774435 + 1. assign V605701 = V719653 - 1. assign V015404 = V689936. assign V543765 = V808125 + 1. assign V355109 = V149012 - 1. assign V063826 = V070291. assign V611736 = V237601 - 1. assign V595965 = V110342 + 1. assign V657837 = V006264 + 1. assign V529296 = V154495 - 1. assign V562377 = V158383. assign V584823 = V538757 + 1. assign V674243 = V827908 + 1. assign V666719 = V040257 + 1. assign V448915 = V063826 + 1. assign V212330 = V689936 + 1. assign V154495 = V760180. assign V580143 = V065587. assign V538757 = V362516.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV827908 = 0;\n\nFrom these direct assignment(s), we have: \nV674243 = V827908 + 1 = 0 + 1 =1;\nNo other variables can be derived from V674243;\nNo other variables can be derived from V827908;\n\nNow we have done all the calculations. Derived variables are:\nV827908 = 0;\nV674243 = 1;\n\nNow we have finished this problem. ANSWER:\nV827908\n", "role": "assistant" } ]

[ "V667804" ]

[ { "content": "<context>\nassign V651908 = V666422. assign V732495 = V077350 + 1. assign V178700 = V938621. assign V468249 = V095495 + 1. assign V524030 = V934204 - 1. assign V375312 = V417933 - 1. assign V559577 = V840214 + 1. assign V747898 = V224458 - 1. assign V192770 = V553097. assign V955151 = V252761. assign V573668 = V007966 + 1. assign V800606 = V615051 + 1. assign V527549 = V385999 - 1. assign V481051 = V938621. assign V417933 = V029198 - 1. assign V054260 = V204008 + 1. assign V513895 = V455976. assign V007966 = V821089 - 1. assign V228123 = V482000 - 1. assign V948651 = V615051 + 1. assign V385999 = V029198 + 1. assign V325782 = V252761. assign V482000 = V178700 - 1. assign V828622 = V994089 - 1. assign V713452 = V494871. assign V667804 = V618658 - 1. assign V977999 = V934204 - 1. assign V719665 = V559577 - 1. assign V994089 = V252761 + 1. assign V394730 = V666422. assign V029198 = V252761. assign V224458 = V732495 + 1. assign V507525 = V095391 - 1. assign V005217 = V559577. assign V284235 = V527549 + 1. assign V618658 = 4. assign V821089 = V828622 - 1. assign V496310 = V737675 - 1. assign V363645 = V005217. assign V485933 = V719665 - 1. assign V304659 = V559577. assign V755753 = V422923 + 1. assign V694127 = V363645 + 1. assign V760913 = V737675. assign V996804 = V178700 - 1. assign V422923 = V141047 - 1. assign V938621 = V455976 + 1. assign V793396 = V007966 + 1. assign V763838 = V417933 + 1. assign V737675 = V422923. assign V934204 = V422923 - 1. assign V204008 = V363645 - 1. assign V095495 = V095391 + 1. assign V077350 = V455976 + 1. assign V155964 = V553097 + 1. assign V666422 = V029198 + 1. assign V219230 = V192770. assign V289215 = V252761 - 1. assign V347868 = V455976 + 1. assign V455976 = V325782 + 1. assign V962882 = V828622 + 1. assign V146245 = V732495 + 1. assign V252761 = V840214 - 1. assign V420162 = V507525 + 1. assign V200696 = V828622 - 1. assign V615051 = V029198. assign V589307 = V507525 + 1. assign V402819 = V763838 - 1. assign V891611 = V719665. assign V352688 = V821089. assign V565572 = V666422 + 1. assign V267560 = V494871. assign V101255 = V494871 - 1. assign V141047 = V994089. assign V494871 = V077350 + 1. assign V553097 = V828622 - 1. assign V198832 = V485933. assign V911772 = V192770. assign V674570 = V422923 - 1. assign V475413 = V666422 + 1. assign V378039 = V494871 - 1. assign V443716 = V713452 + 1. assign V590544 = V666422 - 1. assign V128255 = V955151 + 1. assign V095391 = V840214. assign V481284 = V589307 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V651908 = V666422. assign V732495 = V077350 + 1. assign V178700 = V938621. assign V468249 = V095495 + 1. assign V524030 = V934204 - 1. assign V375312 = V417933 - 1. assign V559577 = V840214 + 1. assign V747898 = V224458 - 1. assign V192770 = V553097. assign V955151 = V252761. assign V573668 = V007966 + 1. assign V800606 = V615051 + 1. assign V527549 = V385999 - 1. assign V481051 = V938621. assign V417933 = V029198 - 1. assign V054260 = V204008 + 1. assign V513895 = V455976. assign V007966 = V821089 - 1. assign V228123 = V482000 - 1. assign V948651 = V615051 + 1. assign V385999 = V029198 + 1. assign V325782 = V252761. assign V482000 = V178700 - 1. assign V828622 = V994089 - 1. assign V713452 = V494871. assign V667804 = V618658 - 1. assign V977999 = V934204 - 1. assign V719665 = V559577 - 1. assign V994089 = V252761 + 1. assign V394730 = V666422. assign V029198 = V252761. assign V224458 = V732495 + 1. assign V507525 = V095391 - 1. assign V005217 = V559577. assign V284235 = V527549 + 1. assign V618658 = 4. assign V821089 = V828622 - 1. assign V496310 = V737675 - 1. assign V363645 = V005217. assign V485933 = V719665 - 1. assign V304659 = V559577. assign V755753 = V422923 + 1. assign V694127 = V363645 + 1. assign V760913 = V737675. assign V996804 = V178700 - 1. assign V422923 = V141047 - 1. assign V938621 = V455976 + 1. assign V793396 = V007966 + 1. assign V763838 = V417933 + 1. assign V737675 = V422923. assign V934204 = V422923 - 1. assign V204008 = V363645 - 1. assign V095495 = V095391 + 1. assign V077350 = V455976 + 1. assign V155964 = V553097 + 1. assign V666422 = V029198 + 1. assign V219230 = V192770. assign V289215 = V252761 - 1. assign V347868 = V455976 + 1. assign V455976 = V325782 + 1. assign V962882 = V828622 + 1. assign V146245 = V732495 + 1. assign V252761 = V840214 - 1. assign V420162 = V507525 + 1. assign V200696 = V828622 - 1. assign V615051 = V029198. assign V589307 = V507525 + 1. assign V402819 = V763838 - 1. assign V891611 = V719665. assign V352688 = V821089. assign V565572 = V666422 + 1. assign V267560 = V494871. assign V101255 = V494871 - 1. assign V141047 = V994089. assign V494871 = V077350 + 1. assign V553097 = V828622 - 1. assign V198832 = V485933. assign V911772 = V192770. assign V674570 = V422923 - 1. assign V475413 = V666422 + 1. assign V378039 = V494871 - 1. assign V443716 = V713452 + 1. assign V590544 = V666422 - 1. assign V128255 = V955151 + 1. assign V095391 = V840214. assign V481284 = V589307 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV618658 = 4;\n\nFrom these direct assignment(s), we have: \nV667804 = V618658 - 1 = 4 - 1 =3;\nNo other variables can be derived from V667804;\nNo other variables can be derived from V618658;\n\nNow we have done all the calculations. Derived variables are:\nV618658 = 4;\nV667804 = 3;\n\nNow we have finished this problem. ANSWER:\nV667804\n", "role": "assistant" } ]

[ "V689947", "V543398" ]

[ { "content": "<context>\nassign V107033 = V926842. assign V695438 = V610985 - 1. assign V380487 = V128889. assign V688309 = V802544 + 1. assign V689947 = 4. assign V775953 = V468429. assign V196742 = V767485 + 1. assign V424708 = V559418 - 1. assign V935937 = V142395. assign V137179 = V277902 + 1. assign V841889 = V671647. assign V873116 = V018621 + 1. assign V970851 = V984174 - 1. assign V310103 = V935937 - 1. assign V543398 = V689947. assign V002630 = V621284 - 1. assign V306976 = V074672 - 1. assign V040261 = V873116 - 1. assign V277902 = V015894 + 1. assign V767485 = V836433. assign V824499 = V926842 + 1. assign V896738 = V424991. assign V918782 = V226769 - 1. assign V671647 = V277902. assign V058363 = V107033 + 1. assign V632929 = V836433 - 1. assign V778917 = V054143 - 1. assign V559418 = V128889. assign V762387 = V802544. assign V836433 = V321932. assign V018621 = V952473. assign V639133 = V802544 + 1. assign V366693 = V468429. assign V107162 = V952473 - 1. assign V976359 = V321096 - 1. assign V842969 = V897327 + 1. assign V562977 = V074672 + 1. assign V420348 = V802544 - 1. assign V883390 = V054143 - 1. assign V513461 = V960365. assign V810801 = V778917 - 1. assign V074672 = V952473 + 1. assign V963359 = V424708. assign V865634 = V137179. assign V261307 = V679434 - 1. assign V621284 = V128889 - 1. assign V679434 = V142395. assign V897327 = V632929 - 1. assign V802544 = V468429 - 1. assign V989017 = V970851 + 1. assign V926842 = V960365. assign V926244 = V420348. assign V424991 = V196742 + 1. assign V075035 = V936840. assign V915410 = V926244 - 1. assign V862554 = V306976. assign V064692 = V128889 + 1. assign V185957 = V142395. assign V952473 = V836433 - 1. assign V610985 = V054143 - 1. assign V420261 = V926842. assign V960365 = V836433. assign V142395 = V321932 - 1. assign V657153 = V366693 + 1. assign V936840 = V873116. assign V889725 = V679434 - 1. assign V900739 = V960365 + 1. assign V990380 = V321932 - 1. assign V735721 = V897327 + 1. assign V231116 = V841889 - 1. assign V015894 = V018621 - 1. assign V996403 = V064692 - 1. assign V695566 = V015894. assign V128889 = V468429 - 1. assign V468429 = V952473 + 1. assign V121488 = V074672. assign V414004 = V836433. assign V054143 = V936840 + 1. assign V321096 = V952473 + 1. assign V226769 = V952473 - 1. assign V984174 = V679434. assign V908595 = V836433 + 1. assign V553794 = V996403 + 1. assign V469104 = V196742 + 1. assign V468117 = V468429 + 1. assign V678200 = V767485 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V107033 = V926842. assign V695438 = V610985 - 1. assign V380487 = V128889. assign V688309 = V802544 + 1. assign V689947 = 4. assign V775953 = V468429. assign V196742 = V767485 + 1. assign V424708 = V559418 - 1. assign V935937 = V142395. assign V137179 = V277902 + 1. assign V841889 = V671647. assign V873116 = V018621 + 1. assign V970851 = V984174 - 1. assign V310103 = V935937 - 1. assign V543398 = V689947. assign V002630 = V621284 - 1. assign V306976 = V074672 - 1. assign V040261 = V873116 - 1. assign V277902 = V015894 + 1. assign V767485 = V836433. assign V824499 = V926842 + 1. assign V896738 = V424991. assign V918782 = V226769 - 1. assign V671647 = V277902. assign V058363 = V107033 + 1. assign V632929 = V836433 - 1. assign V778917 = V054143 - 1. assign V559418 = V128889. assign V762387 = V802544. assign V836433 = V321932. assign V018621 = V952473. assign V639133 = V802544 + 1. assign V366693 = V468429. assign V107162 = V952473 - 1. assign V976359 = V321096 - 1. assign V842969 = V897327 + 1. assign V562977 = V074672 + 1. assign V420348 = V802544 - 1. assign V883390 = V054143 - 1. assign V513461 = V960365. assign V810801 = V778917 - 1. assign V074672 = V952473 + 1. assign V963359 = V424708. assign V865634 = V137179. assign V261307 = V679434 - 1. assign V621284 = V128889 - 1. assign V679434 = V142395. assign V897327 = V632929 - 1. assign V802544 = V468429 - 1. assign V989017 = V970851 + 1. assign V926842 = V960365. assign V926244 = V420348. assign V424991 = V196742 + 1. assign V075035 = V936840. assign V915410 = V926244 - 1. assign V862554 = V306976. assign V064692 = V128889 + 1. assign V185957 = V142395. assign V952473 = V836433 - 1. assign V610985 = V054143 - 1. assign V420261 = V926842. assign V960365 = V836433. assign V142395 = V321932 - 1. assign V657153 = V366693 + 1. assign V936840 = V873116. assign V889725 = V679434 - 1. assign V900739 = V960365 + 1. assign V990380 = V321932 - 1. assign V735721 = V897327 + 1. assign V231116 = V841889 - 1. assign V015894 = V018621 - 1. assign V996403 = V064692 - 1. assign V695566 = V015894. assign V128889 = V468429 - 1. assign V468429 = V952473 + 1. assign V121488 = V074672. assign V414004 = V836433. assign V054143 = V936840 + 1. assign V321096 = V952473 + 1. assign V226769 = V952473 - 1. assign V984174 = V679434. assign V908595 = V836433 + 1. assign V553794 = V996403 + 1. assign V469104 = V196742 + 1. assign V468117 = V468429 + 1. assign V678200 = V767485 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV689947 = 4;\n\nFrom these direct assignment(s), we have: \nV543398 = V689947 = 4;\nNo other variables can be derived from V543398;\nNo other variables can be derived from V689947;\n\nNow we have done all the calculations. Derived variables are:\nV689947 = 4;\nV543398 = 4;\n\nNow we have finished this problem. ANSWER:\nV689947, V543398\n", "role": "assistant" } ]

[ "V945805" ]

[ { "content": "<context>\nassign V785297 = V319382. assign V225438 = V195692 - 1. assign V770161 = V513772 - 1. assign V707573 = V056772. assign V077713 = V386706. assign V816250 = V833608 - 1. assign V126294 = V056772 + 1. assign V141120 = V672843. assign V773100 = V545548. assign V843476 = V023748 + 1. assign V195692 = V144785. assign V516755 = V374740 + 1. assign V238330 = V672843 + 1. assign V748781 = V829151. assign V888504 = V386706 + 1. assign V401029 = V144785 + 1. assign V945805 = 2. assign V636963 = V513772 - 1. assign V386706 = V833608 + 1. assign V895858 = V551271 + 1. assign V545548 = V829151 - 1. assign V006028 = V336019 + 1. assign V758235 = V565927. assign V018126 = V077713 - 1. assign V864598 = V319382. assign V294602 = V492342. assign V023748 = V672843 + 1. assign V513772 = V141120 + 1. assign V188236 = V386706 + 1. assign V056772 = V513772 - 1. assign V163000 = V911619 + 1. assign V984618 = V023748 - 1. assign V052636 = V565927. assign V703214 = V262597 + 1. assign V739880 = V141120 - 1. assign V206654 = V565927 + 1. assign V087410 = V091762. assign V565927 = V829151. assign V966232 = V294162 - 1. assign V910166 = V262597 + 1. assign V855445 = V336019. assign V049672 = V052636. assign V387272 = V238330 + 1. assign V829151 = V294162. assign V648244 = V188236. assign V228856 = V739880. assign V044020 = V374740 + 1. assign V586180 = V984618 - 1. assign V319382 = V843476 + 1. assign V331915 = V144785 + 1. assign V555733 = V374740. assign V091762 = V773100. assign V144785 = V833608 + 1. assign V949766 = V265369. assign V895693 = V262597 - 1. assign V528767 = V071663 - 1. assign V071663 = V023748 - 1. assign V732460 = V816250 - 1. assign V911619 = V624559 + 1. assign V643815 = V153538 + 1. assign V362594 = V636963 + 1. assign V624559 = V864598. assign V262597 = V238330 - 1. assign V694160 = V195692. assign V973715 = V843476. assign V074288 = V294162 - 1. assign V490259 = V945805 - 1. assign V704206 = V087410 - 1. assign V171952 = V294162. assign V049946 = V829151 - 1. assign V294162 = V672843 - 1. assign V153538 = V910166 - 1. assign V823574 = V773100 - 1. assign V585731 = V758235 + 1. assign V265369 = V843476 - 1. assign V140089 = V707573. assign V551271 = V386706. assign V374740 = V855445 + 1. assign V935303 = V023748 + 1. assign V452010 = V513772 - 1. assign V709758 = V386706. assign V843400 = V829151 + 1. assign V726507 = V984618 - 1. assign V672843 = V336019 - 1. assign V833608 = V545548 + 1. assign V492342 = V545548 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V785297 = V319382. assign V225438 = V195692 - 1. assign V770161 = V513772 - 1. assign V707573 = V056772. assign V077713 = V386706. assign V816250 = V833608 - 1. assign V126294 = V056772 + 1. assign V141120 = V672843. assign V773100 = V545548. assign V843476 = V023748 + 1. assign V195692 = V144785. assign V516755 = V374740 + 1. assign V238330 = V672843 + 1. assign V748781 = V829151. assign V888504 = V386706 + 1. assign V401029 = V144785 + 1. assign V945805 = 2. assign V636963 = V513772 - 1. assign V386706 = V833608 + 1. assign V895858 = V551271 + 1. assign V545548 = V829151 - 1. assign V006028 = V336019 + 1. assign V758235 = V565927. assign V018126 = V077713 - 1. assign V864598 = V319382. assign V294602 = V492342. assign V023748 = V672843 + 1. assign V513772 = V141120 + 1. assign V188236 = V386706 + 1. assign V056772 = V513772 - 1. assign V163000 = V911619 + 1. assign V984618 = V023748 - 1. assign V052636 = V565927. assign V703214 = V262597 + 1. assign V739880 = V141120 - 1. assign V206654 = V565927 + 1. assign V087410 = V091762. assign V565927 = V829151. assign V966232 = V294162 - 1. assign V910166 = V262597 + 1. assign V855445 = V336019. assign V049672 = V052636. assign V387272 = V238330 + 1. assign V829151 = V294162. assign V648244 = V188236. assign V228856 = V739880. assign V044020 = V374740 + 1. assign V586180 = V984618 - 1. assign V319382 = V843476 + 1. assign V331915 = V144785 + 1. assign V555733 = V374740. assign V091762 = V773100. assign V144785 = V833608 + 1. assign V949766 = V265369. assign V895693 = V262597 - 1. assign V528767 = V071663 - 1. assign V071663 = V023748 - 1. assign V732460 = V816250 - 1. assign V911619 = V624559 + 1. assign V643815 = V153538 + 1. assign V362594 = V636963 + 1. assign V624559 = V864598. assign V262597 = V238330 - 1. assign V694160 = V195692. assign V973715 = V843476. assign V074288 = V294162 - 1. assign V490259 = V945805 - 1. assign V704206 = V087410 - 1. assign V171952 = V294162. assign V049946 = V829151 - 1. assign V294162 = V672843 - 1. assign V153538 = V910166 - 1. assign V823574 = V773100 - 1. assign V585731 = V758235 + 1. assign V265369 = V843476 - 1. assign V140089 = V707573. assign V551271 = V386706. assign V374740 = V855445 + 1. assign V935303 = V023748 + 1. assign V452010 = V513772 - 1. assign V709758 = V386706. assign V843400 = V829151 + 1. assign V726507 = V984618 - 1. assign V672843 = V336019 - 1. assign V833608 = V545548 + 1. assign V492342 = V545548 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV945805 = 2;\n\nFrom these direct assignment(s), we have: \nV490259 = V945805 - 1 = 2 - 1 =1;\nNo other variables can be derived from V490259;\nNo other variables can be derived from V945805;\n\nNow we have done all the calculations. Derived variables are:\nV945805 = 2;\nV490259 = 1;\n\nNow we have finished this problem. ANSWER:\nV945805\n", "role": "assistant" } ]

[ "V941156", "V951193" ]

[ { "content": "<context>\nassign V638732 = V831175. assign V808676 = V499329 - 1. assign V556696 = V126233 + 1. assign V944544 = V232302. assign V875533 = V270863 + 1. assign V828446 = V823458 + 1. assign V722443 = V721299 + 1. assign V329915 = V256121. assign V141812 = V219620 + 1. assign V729620 = V764385. assign V170782 = V721299 + 1. assign V892716 = V256121 + 1. assign V499737 = V256121 - 1. assign V318570 = V203612 - 1. assign V641481 = V275166 - 1. assign V768983 = V946103. assign V879500 = V987066 + 1. assign V357322 = V849273 - 1. assign V965766 = V686552 - 1. assign V630514 = V769802. assign V203612 = V986343 - 1. assign V568879 = V986343. assign V788924 = V056564. assign V841703 = V686552 + 1. assign V820813 = V722443 - 1. assign V649526 = V455174. assign V516047 = V357322 - 1. assign V422995 = V170782 - 1. assign V987066 = V185323. assign V385633 = V764385 + 1. assign V778420 = V044736 + 1. assign V663251 = V185323. assign V868620 = V808676. assign V466105 = V820813. assign V986343 = V357322 + 1. assign V021173 = V185323 - 1. assign V117298 = V504982 - 1. assign V849273 = V721299 + 1. assign V056564 = V357322 - 1. assign V754290 = V329915. assign V232302 = V721299 + 1. assign V121567 = V784032. assign V360402 = V764385 - 1. assign V622838 = V788924 + 1. assign V831175 = V946047 - 1. assign V557951 = V385633. assign V623791 = V170782. assign V310175 = V270863 - 1. assign V270863 = V932114 + 1. assign V018214 = V318570 - 1. assign V275166 = V986343 + 1. assign V342072 = V200962 + 1. assign V719423 = V932114 + 1. assign V177315 = V875533 - 1. assign V912435 = V557951. assign V951193 = V941156. assign V657349 = V126233 + 1. assign V446540 = V649526. assign V504982 = V788924 - 1. assign V219620 = V499329. assign V365673 = V841703 - 1. assign V021616 = V185323 + 1. assign V946047 = V499329 - 1. assign V256121 = V721299 + 1. assign V650379 = V722443. assign V180013 = V232302 + 1. assign V784032 = V764385 + 1. assign V769802 = V021616 + 1. assign V321239 = V944544 + 1. assign V185323 = V986343 - 1. assign V464834 = V021173 + 1. assign V455174 = V219620. assign V686552 = V185323. assign V483701 = V568879 - 1. assign V932114 = V499329 + 1. assign V208081 = V721299. assign V696248 = V185323. assign V823458 = V365673 - 1. assign V126233 = V820813 - 1. assign V499329 = V849273. assign V946103 = V721299 - 1. assign V941156 = 8. assign V200962 = V722443 - 1. assign V044736 = V788924 + 1. assign V587542 = V788924 + 1. assign V764385 = V357322 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V638732 = V831175. assign V808676 = V499329 - 1. assign V556696 = V126233 + 1. assign V944544 = V232302. assign V875533 = V270863 + 1. assign V828446 = V823458 + 1. assign V722443 = V721299 + 1. assign V329915 = V256121. assign V141812 = V219620 + 1. assign V729620 = V764385. assign V170782 = V721299 + 1. assign V892716 = V256121 + 1. assign V499737 = V256121 - 1. assign V318570 = V203612 - 1. assign V641481 = V275166 - 1. assign V768983 = V946103. assign V879500 = V987066 + 1. assign V357322 = V849273 - 1. assign V965766 = V686552 - 1. assign V630514 = V769802. assign V203612 = V986343 - 1. assign V568879 = V986343. assign V788924 = V056564. assign V841703 = V686552 + 1. assign V820813 = V722443 - 1. assign V649526 = V455174. assign V516047 = V357322 - 1. assign V422995 = V170782 - 1. assign V987066 = V185323. assign V385633 = V764385 + 1. assign V778420 = V044736 + 1. assign V663251 = V185323. assign V868620 = V808676. assign V466105 = V820813. assign V986343 = V357322 + 1. assign V021173 = V185323 - 1. assign V117298 = V504982 - 1. assign V849273 = V721299 + 1. assign V056564 = V357322 - 1. assign V754290 = V329915. assign V232302 = V721299 + 1. assign V121567 = V784032. assign V360402 = V764385 - 1. assign V622838 = V788924 + 1. assign V831175 = V946047 - 1. assign V557951 = V385633. assign V623791 = V170782. assign V310175 = V270863 - 1. assign V270863 = V932114 + 1. assign V018214 = V318570 - 1. assign V275166 = V986343 + 1. assign V342072 = V200962 + 1. assign V719423 = V932114 + 1. assign V177315 = V875533 - 1. assign V912435 = V557951. assign V951193 = V941156. assign V657349 = V126233 + 1. assign V446540 = V649526. assign V504982 = V788924 - 1. assign V219620 = V499329. assign V365673 = V841703 - 1. assign V021616 = V185323 + 1. assign V946047 = V499329 - 1. assign V256121 = V721299 + 1. assign V650379 = V722443. assign V180013 = V232302 + 1. assign V784032 = V764385 + 1. assign V769802 = V021616 + 1. assign V321239 = V944544 + 1. assign V185323 = V986343 - 1. assign V464834 = V021173 + 1. assign V455174 = V219620. assign V686552 = V185323. assign V483701 = V568879 - 1. assign V932114 = V499329 + 1. assign V208081 = V721299. assign V696248 = V185323. assign V823458 = V365673 - 1. assign V126233 = V820813 - 1. assign V499329 = V849273. assign V946103 = V721299 - 1. assign V941156 = 8. assign V200962 = V722443 - 1. assign V044736 = V788924 + 1. assign V587542 = V788924 + 1. assign V764385 = V357322 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV941156 = 8;\n\nFrom these direct assignment(s), we have: \nV951193 = V941156 = 8;\nNo other variables can be derived from V951193;\nNo other variables can be derived from V941156;\n\nNow we have done all the calculations. Derived variables are:\nV941156 = 8;\nV951193 = 8;\n\nNow we have finished this problem. ANSWER:\nV941156, V951193\n", "role": "assistant" } ]

[ "V811533" ]

[ { "content": "<context>\nassign V636426 = V602271. assign V150839 = V508688 - 1. assign V547245 = V696246. assign V462084 = V658739 - 1. assign V797342 = V440548 + 1. assign V646828 = V325185 - 1. assign V661993 = V523762 + 1. assign V568893 = V212582. assign V527273 = V658739 + 1. assign V071728 = V352995 - 1. assign V080430 = V547245. assign V439622 = V013254. assign V548223 = V696246 - 1. assign V128687 = V742926 + 1. assign V010362 = V299038. assign V667424 = V299038 + 1. assign V352995 = V123221 + 1. assign V959879 = V462008 - 1. assign V664434 = V857109 - 1. assign V187481 = V757739 + 1. assign V216102 = V331079. assign V625206 = V212582 - 1. assign V936627 = V572410 - 1. assign V134638 = V578680 - 1. assign V425236 = V051019. assign V940456 = V681162 - 1. assign V231156 = V013254 + 1. assign V013254 = V264459 - 1. assign V876156 = V578680. assign V360629 = V636426 - 1. assign V284570 = V742926. assign V726227 = V567405. assign V696246 = V325185 + 1. assign V393062 = V462008 + 1. assign V045442 = V548223 - 1. assign V212582 = V264459. assign V280789 = V393062 - 1. assign V299038 = V005098. assign V681162 = V331079. assign V652952 = V005098 - 1. assign V462008 = V567405 - 1. assign V828261 = V646828. assign V280170 = V567405 - 1. assign V117344 = V299038. assign V811533 = 2. assign V599786 = V855231 + 1. assign V642261 = V940456 + 1. assign V811038 = V141205 - 1. assign V567405 = V658739. assign V439296 = V652952. assign V855231 = V216102 - 1. assign V891007 = V664434 + 1. assign V365155 = V527273 + 1. assign V518008 = V325185 - 1. assign V325185 = V005098 - 1. assign V141205 = V109407. assign V757739 = V462084 + 1. assign V508688 = V216102. assign V523762 = V439296. assign V727734 = V661993 - 1. assign V283616 = V141205. assign V251231 = V299038 - 1. assign V440548 = V696246 + 1. assign V134858 = V365155 - 1. assign V660702 = V352995 + 1. assign V102310 = V757739 - 1. assign V051019 = V602271. assign V602271 = V462084 + 1. assign V874379 = V045442. assign V572410 = V462008. assign V005098 = V462084. assign V331079 = V360629. assign V932612 = V696246. assign V885207 = V462008 - 1. assign V123221 = V462008 - 1. assign V742926 = V567405 - 1. assign V264459 = V005098 + 1. assign V579528 = V811533 - 1. assign V578680 = V440548 + 1. assign V109407 = V959879 - 1. assign V867491 = V636426 + 1. assign V857109 = V646828 + 1. assign V548522 = V578680 - 1. assign V674183 = V636426. assign V041125 = V696246. assign V453053 = V742926.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V636426 = V602271. assign V150839 = V508688 - 1. assign V547245 = V696246. assign V462084 = V658739 - 1. assign V797342 = V440548 + 1. assign V646828 = V325185 - 1. assign V661993 = V523762 + 1. assign V568893 = V212582. assign V527273 = V658739 + 1. assign V071728 = V352995 - 1. assign V080430 = V547245. assign V439622 = V013254. assign V548223 = V696246 - 1. assign V128687 = V742926 + 1. assign V010362 = V299038. assign V667424 = V299038 + 1. assign V352995 = V123221 + 1. assign V959879 = V462008 - 1. assign V664434 = V857109 - 1. assign V187481 = V757739 + 1. assign V216102 = V331079. assign V625206 = V212582 - 1. assign V936627 = V572410 - 1. assign V134638 = V578680 - 1. assign V425236 = V051019. assign V940456 = V681162 - 1. assign V231156 = V013254 + 1. assign V013254 = V264459 - 1. assign V876156 = V578680. assign V360629 = V636426 - 1. assign V284570 = V742926. assign V726227 = V567405. assign V696246 = V325185 + 1. assign V393062 = V462008 + 1. assign V045442 = V548223 - 1. assign V212582 = V264459. assign V280789 = V393062 - 1. assign V299038 = V005098. assign V681162 = V331079. assign V652952 = V005098 - 1. assign V462008 = V567405 - 1. assign V828261 = V646828. assign V280170 = V567405 - 1. assign V117344 = V299038. assign V811533 = 2. assign V599786 = V855231 + 1. assign V642261 = V940456 + 1. assign V811038 = V141205 - 1. assign V567405 = V658739. assign V439296 = V652952. assign V855231 = V216102 - 1. assign V891007 = V664434 + 1. assign V365155 = V527273 + 1. assign V518008 = V325185 - 1. assign V325185 = V005098 - 1. assign V141205 = V109407. assign V757739 = V462084 + 1. assign V508688 = V216102. assign V523762 = V439296. assign V727734 = V661993 - 1. assign V283616 = V141205. assign V251231 = V299038 - 1. assign V440548 = V696246 + 1. assign V134858 = V365155 - 1. assign V660702 = V352995 + 1. assign V102310 = V757739 - 1. assign V051019 = V602271. assign V602271 = V462084 + 1. assign V874379 = V045442. assign V572410 = V462008. assign V005098 = V462084. assign V331079 = V360629. assign V932612 = V696246. assign V885207 = V462008 - 1. assign V123221 = V462008 - 1. assign V742926 = V567405 - 1. assign V264459 = V005098 + 1. assign V579528 = V811533 - 1. assign V578680 = V440548 + 1. assign V109407 = V959879 - 1. assign V867491 = V636426 + 1. assign V857109 = V646828 + 1. assign V548522 = V578680 - 1. assign V674183 = V636426. assign V041125 = V696246. assign V453053 = V742926.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV811533 = 2;\n\nFrom these direct assignment(s), we have: \nV579528 = V811533 - 1 = 2 - 1 =1;\nNo other variables can be derived from V579528;\nNo other variables can be derived from V811533;\n\nNow we have done all the calculations. Derived variables are:\nV811533 = 2;\nV579528 = 1;\n\nNow we have finished this problem. ANSWER:\nV811533\n", "role": "assistant" } ]

[ "V430325" ]

[ { "content": "<context>\nassign V069122 = V236205 + 1. assign V286176 = V845345 - 1. assign V405265 = V209072. assign V430325 = 2. assign V557474 = V813425 + 1. assign V567493 = V842688 + 1. assign V168640 = V209072 + 1. assign V786104 = V845345. assign V302313 = V165616. assign V088598 = V341868 + 1. assign V211040 = V901255 - 1. assign V014385 = V629854 + 1. assign V333703 = V567507 - 1. assign V341868 = V400022 + 1. assign V646133 = V681394 - 1. assign V526506 = V964184 - 1. assign V717437 = V892567. assign V729588 = V190980 + 1. assign V142666 = V845345 - 1. assign V926192 = V477792. assign V798361 = V875789. assign V717930 = V776026 - 1. assign V192959 = V875789. assign V057015 = V225524. assign V165616 = V422475 + 1. assign V000151 = V717020 + 1. assign V994105 = V372261 - 1. assign V293608 = V892567. assign V211922 = V286176 + 1. assign V197901 = V842688 - 1. assign V023347 = V603141. assign V553734 = V302313 - 1. assign V400022 = V225524 + 1. assign V912764 = V727221. assign V717020 = V434523 + 1. assign V683064 = V400022 + 1. assign V727221 = V005593 + 1. assign V377117 = V211922 - 1. assign V577407 = V451162 + 1. assign V467617 = V994105 + 1. assign V477792 = V225524. assign V567507 = V209072 + 1. assign V842688 = V845345 - 1. assign V190980 = V451162 + 1. assign V901255 = V080570 - 1. assign V236205 = V347867 - 1. assign V989205 = V377117 - 1. assign V890271 = V926192 - 1. assign V830681 = V683064 - 1. assign V892567 = V422475 + 1. assign V776026 = V727221 - 1. assign V005593 = V845345. assign V766531 = V964184 + 1. assign V813425 = V567507. assign V218902 = V057737. assign V114386 = V080570 + 1. assign V919733 = V236205 - 1. assign V629854 = V892567 + 1. assign V080570 = V842688. assign V597866 = V451162 - 1. assign V140042 = V341868 + 1. assign V969740 = V190980 - 1. assign V354583 = V646133. assign V057288 = V209072. assign V613811 = V209072 + 1. assign V209072 = V845345. assign V960432 = V567493. assign V057737 = V813425 - 1. assign V956122 = V717437. assign V192889 = V302313 + 1. assign V998026 = V140042 - 1. assign V007715 = V912764 - 1. assign V451162 = V842688 + 1. assign V681394 = V477792 - 1. assign V434523 = V724077 + 1. assign V347867 = V372261 - 1. assign V219727 = V080570 + 1. assign V875789 = V211922 - 1. assign V603141 = V211922. assign V254056 = V629854 + 1. assign V372261 = V209072 - 1. assign V845345 = V225524 + 1. assign V964184 = V211922. assign V119629 = V430325 - 1. assign V724077 = V286176. assign V422475 = V477792.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V069122 = V236205 + 1. assign V286176 = V845345 - 1. assign V405265 = V209072. assign V430325 = 2. assign V557474 = V813425 + 1. assign V567493 = V842688 + 1. assign V168640 = V209072 + 1. assign V786104 = V845345. assign V302313 = V165616. assign V088598 = V341868 + 1. assign V211040 = V901255 - 1. assign V014385 = V629854 + 1. assign V333703 = V567507 - 1. assign V341868 = V400022 + 1. assign V646133 = V681394 - 1. assign V526506 = V964184 - 1. assign V717437 = V892567. assign V729588 = V190980 + 1. assign V142666 = V845345 - 1. assign V926192 = V477792. assign V798361 = V875789. assign V717930 = V776026 - 1. assign V192959 = V875789. assign V057015 = V225524. assign V165616 = V422475 + 1. assign V000151 = V717020 + 1. assign V994105 = V372261 - 1. assign V293608 = V892567. assign V211922 = V286176 + 1. assign V197901 = V842688 - 1. assign V023347 = V603141. assign V553734 = V302313 - 1. assign V400022 = V225524 + 1. assign V912764 = V727221. assign V717020 = V434523 + 1. assign V683064 = V400022 + 1. assign V727221 = V005593 + 1. assign V377117 = V211922 - 1. assign V577407 = V451162 + 1. assign V467617 = V994105 + 1. assign V477792 = V225524. assign V567507 = V209072 + 1. assign V842688 = V845345 - 1. assign V190980 = V451162 + 1. assign V901255 = V080570 - 1. assign V236205 = V347867 - 1. assign V989205 = V377117 - 1. assign V890271 = V926192 - 1. assign V830681 = V683064 - 1. assign V892567 = V422475 + 1. assign V776026 = V727221 - 1. assign V005593 = V845345. assign V766531 = V964184 + 1. assign V813425 = V567507. assign V218902 = V057737. assign V114386 = V080570 + 1. assign V919733 = V236205 - 1. assign V629854 = V892567 + 1. assign V080570 = V842688. assign V597866 = V451162 - 1. assign V140042 = V341868 + 1. assign V969740 = V190980 - 1. assign V354583 = V646133. assign V057288 = V209072. assign V613811 = V209072 + 1. assign V209072 = V845345. assign V960432 = V567493. assign V057737 = V813425 - 1. assign V956122 = V717437. assign V192889 = V302313 + 1. assign V998026 = V140042 - 1. assign V007715 = V912764 - 1. assign V451162 = V842688 + 1. assign V681394 = V477792 - 1. assign V434523 = V724077 + 1. assign V347867 = V372261 - 1. assign V219727 = V080570 + 1. assign V875789 = V211922 - 1. assign V603141 = V211922. assign V254056 = V629854 + 1. assign V372261 = V209072 - 1. assign V845345 = V225524 + 1. assign V964184 = V211922. assign V119629 = V430325 - 1. assign V724077 = V286176. assign V422475 = V477792.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV430325 = 2;\n\nFrom these direct assignment(s), we have: \nV119629 = V430325 - 1 = 2 - 1 =1;\nNo other variables can be derived from V119629;\nNo other variables can be derived from V430325;\n\nNow we have done all the calculations. Derived variables are:\nV430325 = 2;\nV119629 = 1;\n\nNow we have finished this problem. ANSWER:\nV430325\n", "role": "assistant" } ]

[ "V493022" ]

[ { "content": "<context>\nassign V819329 = V217278 - 1. assign V339378 = V000600 + 1. assign V048622 = V843536. assign V633181 = V359625 + 1. assign V405090 = V774162. assign V234837 = V788901 + 1. assign V487210 = V376980 + 1. assign V732544 = V575808 + 1. assign V684717 = V480922. assign V068695 = V624705. assign V147158 = V485336. assign V414677 = V916050 - 1. assign V695592 = V100710 - 1. assign V376980 = V931561 - 1. assign V794756 = V414677 - 1. assign V088433 = V949494 + 1. assign V788901 = V439677 - 1. assign V699599 = V234837 + 1. assign V064517 = V568806 - 1. assign V460446 = V788901. assign V157131 = V200512. assign V765674 = V228383 + 1. assign V855395 = V000600. assign V305927 = V146542 + 1. assign V916050 = V752545 - 1. assign V656782 = V949494 - 1. assign V198157 = V875324 + 1. assign V228383 = V575808. assign V079180 = V982535 + 1. assign V752545 = V732544 + 1. assign V207322 = V210308 + 1. assign V192189 = V790688 - 1. assign V369436 = V788901. assign V842268 = V415271 + 1. assign V575808 = V949494. assign V838203 = V414677 - 1. assign V415912 = V217278. assign V439677 = V949494. assign V994871 = V949494 + 1. assign V412573 = V439677 + 1. assign V118206 = V568806 + 1. assign V976150 = V412573 - 1. assign V444249 = V686230 + 1. assign V670051 = V415271. assign V234923 = V414677. assign V210308 = V788901 - 1. assign V530771 = V369436 + 1. assign V037075 = V376980. assign V206386 = V415271 - 1. assign V261601 = V444249 + 1. assign V480922 = V210308. assign V774162 = V568806 - 1. assign V207539 = V439677 - 1. assign V624705 = V568806. assign V493022 = 6. assign V005542 = V159439. assign V217278 = V210308. assign V644179 = V568806. assign V843536 = V686230 + 1. assign V240052 = V460446 - 1. assign V875324 = V206386 + 1. assign V946412 = V234837 - 1. assign V100710 = V949494 - 1. assign V931561 = V064517 - 1. assign V485336 = V000600. assign V503835 = V982535. assign V494026 = V493022 + 1. assign V725318 = V000600 + 1. assign V061759 = V931561 + 1. assign V568806 = V100710 - 1. assign V518551 = V790688 - 1. assign V340098 = V842268 - 1. assign V543010 = V670051. assign V359625 = V843536. assign V159439 = V843536. assign V686230 = V439677. assign V000600 = V656782 + 1. assign V027136 = V725318. assign V982535 = V415912. assign V200512 = V788901 + 1. assign V415271 = V100710 - 1. assign V146542 = V656782 - 1. assign V790688 = V684717. assign V340343 = V460446 + 1. assign V732225 = V415912. assign V104333 = V005542 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V819329 = V217278 - 1. assign V339378 = V000600 + 1. assign V048622 = V843536. assign V633181 = V359625 + 1. assign V405090 = V774162. assign V234837 = V788901 + 1. assign V487210 = V376980 + 1. assign V732544 = V575808 + 1. assign V684717 = V480922. assign V068695 = V624705. assign V147158 = V485336. assign V414677 = V916050 - 1. assign V695592 = V100710 - 1. assign V376980 = V931561 - 1. assign V794756 = V414677 - 1. assign V088433 = V949494 + 1. assign V788901 = V439677 - 1. assign V699599 = V234837 + 1. assign V064517 = V568806 - 1. assign V460446 = V788901. assign V157131 = V200512. assign V765674 = V228383 + 1. assign V855395 = V000600. assign V305927 = V146542 + 1. assign V916050 = V752545 - 1. assign V656782 = V949494 - 1. assign V198157 = V875324 + 1. assign V228383 = V575808. assign V079180 = V982535 + 1. assign V752545 = V732544 + 1. assign V207322 = V210308 + 1. assign V192189 = V790688 - 1. assign V369436 = V788901. assign V842268 = V415271 + 1. assign V575808 = V949494. assign V838203 = V414677 - 1. assign V415912 = V217278. assign V439677 = V949494. assign V994871 = V949494 + 1. assign V412573 = V439677 + 1. assign V118206 = V568806 + 1. assign V976150 = V412573 - 1. assign V444249 = V686230 + 1. assign V670051 = V415271. assign V234923 = V414677. assign V210308 = V788901 - 1. assign V530771 = V369436 + 1. assign V037075 = V376980. assign V206386 = V415271 - 1. assign V261601 = V444249 + 1. assign V480922 = V210308. assign V774162 = V568806 - 1. assign V207539 = V439677 - 1. assign V624705 = V568806. assign V493022 = 6. assign V005542 = V159439. assign V217278 = V210308. assign V644179 = V568806. assign V843536 = V686230 + 1. assign V240052 = V460446 - 1. assign V875324 = V206386 + 1. assign V946412 = V234837 - 1. assign V100710 = V949494 - 1. assign V931561 = V064517 - 1. assign V485336 = V000600. assign V503835 = V982535. assign V494026 = V493022 + 1. assign V725318 = V000600 + 1. assign V061759 = V931561 + 1. assign V568806 = V100710 - 1. assign V518551 = V790688 - 1. assign V340098 = V842268 - 1. assign V543010 = V670051. assign V359625 = V843536. assign V159439 = V843536. assign V686230 = V439677. assign V000600 = V656782 + 1. assign V027136 = V725318. assign V982535 = V415912. assign V200512 = V788901 + 1. assign V415271 = V100710 - 1. assign V146542 = V656782 - 1. assign V790688 = V684717. assign V340343 = V460446 + 1. assign V732225 = V415912. assign V104333 = V005542 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV493022 = 6;\n\nFrom these direct assignment(s), we have: \nV494026 = V493022 + 1 = 6 + 1 =7;\nNo other variables can be derived from V494026;\nNo other variables can be derived from V493022;\n\nNow we have done all the calculations. Derived variables are:\nV493022 = 6;\nV494026 = 7;\n\nNow we have finished this problem. ANSWER:\nV493022\n", "role": "assistant" } ]

[ "V595311" ]

[ { "content": "<context>\nassign V331794 = V508882. assign V629151 = V508882 - 1. assign V653836 = V873778 + 1. assign V091038 = V357111 + 1. assign V827580 = V241419 - 1. assign V778650 = V152809 - 1. assign V025018 = V742281 + 1. assign V151022 = V629151 + 1. assign V626690 = V227229 - 1. assign V900690 = V525652 - 1. assign V942958 = V270078 - 1. assign V282495 = V525652 + 1. assign V229104 = V271486 + 1. assign V639278 = V329371. assign V266851 = V046208 + 1. assign V913491 = V233698. assign V844411 = V823368. assign V892384 = V742281 + 1. assign V389519 = V960181 + 1. assign V548763 = V525652 + 1. assign V360312 = V142059 - 1. assign V455936 = V115283. assign V791030 = V483654 - 1. assign V730853 = V508882 - 1. assign V838122 = V138703 + 1. assign V101117 = V360312 - 1. assign V517579 = V823368 + 1. assign V742281 = V152809 + 1. assign V713512 = V483654 - 1. assign V543115 = V281012 + 1. assign V046657 = V227229 - 1. assign V862790 = V787672 - 1. assign V705570 = V944320 - 1. assign V976548 = V942958 - 1. assign V500164 = V138703 + 1. assign V753449 = V714641 + 1. assign V329371 = V730853. assign V046208 = V281012 - 1. assign V233634 = V730853 - 1. assign V434890 = V873778 - 1. assign V606332 = V787672. assign V714641 = V525652. assign V510987 = V517579 + 1. assign V837387 = 3. assign V270078 = V823368 + 1. assign V706876 = V483654 - 1. assign V765357 = V266851 - 1. assign V932328 = V960181. assign V343526 = V525652. assign V936257 = V944320 - 1. assign V525652 = V730853. assign V051119 = V787672 + 1. assign V873778 = V271486 - 1. assign V271528 = V404930 + 1. assign V499313 = V046657 - 1. assign V950223 = V329371 - 1. assign V568073 = V389519 + 1. assign V142059 = V281012 + 1. assign V534758 = V788560 + 1. assign V192670 = V778650. assign V404930 = V942958 + 1. assign V416477 = V051119. assign V595311 = V837387 - 1. assign V357111 = V282495 + 1. assign V236409 = V138703 - 1. assign V508882 = V270078 - 1. assign V978284 = V517579 + 1. assign V922379 = V626690. assign V944320 = V525652 + 1. assign V271486 = V823368 + 1. assign V115283 = V978284 + 1. assign V138703 = V626690 - 1. assign V241419 = V653836 + 1. assign V231235 = V357111 - 1. assign V227229 = V730853. assign V919125 = V568073. assign V530011 = V788560. assign V788560 = V233698. assign V787672 = V152809 + 1. assign V233698 = V281012. assign V483654 = V266851 - 1. assign V960181 = V270078 + 1. assign V281012 = V270078 + 1. assign V823368 = V152809. assign V379002 = V357111 + 1. assign V423406 = V282495.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V331794 = V508882. assign V629151 = V508882 - 1. assign V653836 = V873778 + 1. assign V091038 = V357111 + 1. assign V827580 = V241419 - 1. assign V778650 = V152809 - 1. assign V025018 = V742281 + 1. assign V151022 = V629151 + 1. assign V626690 = V227229 - 1. assign V900690 = V525652 - 1. assign V942958 = V270078 - 1. assign V282495 = V525652 + 1. assign V229104 = V271486 + 1. assign V639278 = V329371. assign V266851 = V046208 + 1. assign V913491 = V233698. assign V844411 = V823368. assign V892384 = V742281 + 1. assign V389519 = V960181 + 1. assign V548763 = V525652 + 1. assign V360312 = V142059 - 1. assign V455936 = V115283. assign V791030 = V483654 - 1. assign V730853 = V508882 - 1. assign V838122 = V138703 + 1. assign V101117 = V360312 - 1. assign V517579 = V823368 + 1. assign V742281 = V152809 + 1. assign V713512 = V483654 - 1. assign V543115 = V281012 + 1. assign V046657 = V227229 - 1. assign V862790 = V787672 - 1. assign V705570 = V944320 - 1. assign V976548 = V942958 - 1. assign V500164 = V138703 + 1. assign V753449 = V714641 + 1. assign V329371 = V730853. assign V046208 = V281012 - 1. assign V233634 = V730853 - 1. assign V434890 = V873778 - 1. assign V606332 = V787672. assign V714641 = V525652. assign V510987 = V517579 + 1. assign V837387 = 3. assign V270078 = V823368 + 1. assign V706876 = V483654 - 1. assign V765357 = V266851 - 1. assign V932328 = V960181. assign V343526 = V525652. assign V936257 = V944320 - 1. assign V525652 = V730853. assign V051119 = V787672 + 1. assign V873778 = V271486 - 1. assign V271528 = V404930 + 1. assign V499313 = V046657 - 1. assign V950223 = V329371 - 1. assign V568073 = V389519 + 1. assign V142059 = V281012 + 1. assign V534758 = V788560 + 1. assign V192670 = V778650. assign V404930 = V942958 + 1. assign V416477 = V051119. assign V595311 = V837387 - 1. assign V357111 = V282495 + 1. assign V236409 = V138703 - 1. assign V508882 = V270078 - 1. assign V978284 = V517579 + 1. assign V922379 = V626690. assign V944320 = V525652 + 1. assign V271486 = V823368 + 1. assign V115283 = V978284 + 1. assign V138703 = V626690 - 1. assign V241419 = V653836 + 1. assign V231235 = V357111 - 1. assign V227229 = V730853. assign V919125 = V568073. assign V530011 = V788560. assign V788560 = V233698. assign V787672 = V152809 + 1. assign V233698 = V281012. assign V483654 = V266851 - 1. assign V960181 = V270078 + 1. assign V281012 = V270078 + 1. assign V823368 = V152809. assign V379002 = V357111 + 1. assign V423406 = V282495.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV837387 = 3;\n\nFrom these direct assignment(s), we have: \nV595311 = V837387 - 1 = 3 - 1 =2;\nNo other variables can be derived from V595311;\nNo other variables can be derived from V837387;\n\nNow we have done all the calculations. Derived variables are:\nV837387 = 3;\nV595311 = 2;\n\nNow we have finished this problem. ANSWER:\nV595311\n", "role": "assistant" } ]

[ "V242960", "V398658" ]

[ { "content": "<context>\nassign V719526 = V491968 - 1. assign V099636 = V135590 + 1. assign V731282 = V099636 + 1. assign V271770 = V196943 - 1. assign V957407 = V598985 - 1. assign V337968 = V778259 - 1. assign V825420 = V530008 + 1. assign V547943 = V524503. assign V172917 = V731282 - 1. assign V597475 = V828441 - 1. assign V830019 = V679092. assign V721464 = V750494 + 1. assign V575052 = V719526 - 1. assign V038513 = V135590. assign V524503 = V874716 + 1. assign V975330 = V611304. assign V580738 = V598985 + 1. assign V139626 = V337565 + 1. assign V238834 = V866359 - 1. assign V672839 = V561111 - 1. assign V575048 = V253535 - 1. assign V835711 = V238834 + 1. assign V679092 = V448799. assign V878627 = V802700 + 1. assign V398658 = V242960. assign V532650 = V038513 + 1. assign V695090 = V757728 - 1. assign V874716 = V238834. assign V977552 = V719526 + 1. assign V214017 = V672839. assign V135590 = V828441 - 1. assign V828441 = V750494 + 1. assign V337565 = V315596 - 1. assign V866359 = V218409. assign V553394 = V547943 - 1. assign V448799 = V337565 - 1. assign V806177 = V611304 - 1. assign V856570 = V561111 + 1. assign V918407 = V750494 + 1. assign V611304 = V750494. assign V636291 = V719526 - 1. assign V598985 = V337565 + 1. assign V196943 = V135590 + 1. assign V495775 = V218409 + 1. assign V823213 = V524503. assign V561111 = V495775. assign V977368 = V874716 - 1. assign V068930 = V750494. assign V242960 = 6. assign V977656 = V315596. assign V336257 = V337565 - 1. assign V143852 = V214017 - 1. assign V699541 = V977368 - 1. assign V735335 = V672839. assign V999147 = V582622 + 1. assign V530008 = V721464 - 1. assign V802700 = V983441. assign V287294 = V636291 + 1. assign V619789 = V196943 - 1. assign V595887 = V063642 - 1. assign V582622 = V135590 + 1. assign V219596 = V731282 + 1. assign V063642 = V491968 + 1. assign V983441 = V315596 - 1. assign V419551 = V731282 - 1. assign V253535 = V597475 + 1. assign V667728 = V598985. assign V315596 = V750494 - 1. assign V552937 = V874716. assign V613524 = V866359 + 1. assign V952391 = V196943 + 1. assign V109245 = V679092 - 1. assign V778259 = V435639 - 1. assign V271635 = V856570 + 1. assign V491968 = V315596 + 1. assign V227822 = V595887 + 1. assign V938132 = V099636 + 1. assign V997882 = V802700 + 1. assign V757728 = V977368. assign V645708 = V135590. assign V435639 = V828441 + 1. assign V308118 = V598985 + 1. assign V851608 = V435639. assign V883617 = V547943 - 1. assign V218409 = V337565 - 1. assign V708597 = V435639.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V719526 = V491968 - 1. assign V099636 = V135590 + 1. assign V731282 = V099636 + 1. assign V271770 = V196943 - 1. assign V957407 = V598985 - 1. assign V337968 = V778259 - 1. assign V825420 = V530008 + 1. assign V547943 = V524503. assign V172917 = V731282 - 1. assign V597475 = V828441 - 1. assign V830019 = V679092. assign V721464 = V750494 + 1. assign V575052 = V719526 - 1. assign V038513 = V135590. assign V524503 = V874716 + 1. assign V975330 = V611304. assign V580738 = V598985 + 1. assign V139626 = V337565 + 1. assign V238834 = V866359 - 1. assign V672839 = V561111 - 1. assign V575048 = V253535 - 1. assign V835711 = V238834 + 1. assign V679092 = V448799. assign V878627 = V802700 + 1. assign V398658 = V242960. assign V532650 = V038513 + 1. assign V695090 = V757728 - 1. assign V874716 = V238834. assign V977552 = V719526 + 1. assign V214017 = V672839. assign V135590 = V828441 - 1. assign V828441 = V750494 + 1. assign V337565 = V315596 - 1. assign V866359 = V218409. assign V553394 = V547943 - 1. assign V448799 = V337565 - 1. assign V806177 = V611304 - 1. assign V856570 = V561111 + 1. assign V918407 = V750494 + 1. assign V611304 = V750494. assign V636291 = V719526 - 1. assign V598985 = V337565 + 1. assign V196943 = V135590 + 1. assign V495775 = V218409 + 1. assign V823213 = V524503. assign V561111 = V495775. assign V977368 = V874716 - 1. assign V068930 = V750494. assign V242960 = 6. assign V977656 = V315596. assign V336257 = V337565 - 1. assign V143852 = V214017 - 1. assign V699541 = V977368 - 1. assign V735335 = V672839. assign V999147 = V582622 + 1. assign V530008 = V721464 - 1. assign V802700 = V983441. assign V287294 = V636291 + 1. assign V619789 = V196943 - 1. assign V595887 = V063642 - 1. assign V582622 = V135590 + 1. assign V219596 = V731282 + 1. assign V063642 = V491968 + 1. assign V983441 = V315596 - 1. assign V419551 = V731282 - 1. assign V253535 = V597475 + 1. assign V667728 = V598985. assign V315596 = V750494 - 1. assign V552937 = V874716. assign V613524 = V866359 + 1. assign V952391 = V196943 + 1. assign V109245 = V679092 - 1. assign V778259 = V435639 - 1. assign V271635 = V856570 + 1. assign V491968 = V315596 + 1. assign V227822 = V595887 + 1. assign V938132 = V099636 + 1. assign V997882 = V802700 + 1. assign V757728 = V977368. assign V645708 = V135590. assign V435639 = V828441 + 1. assign V308118 = V598985 + 1. assign V851608 = V435639. assign V883617 = V547943 - 1. assign V218409 = V337565 - 1. assign V708597 = V435639.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV242960 = 6;\n\nFrom these direct assignment(s), we have: \nV398658 = V242960 = 6;\nNo other variables can be derived from V398658;\nNo other variables can be derived from V242960;\n\nNow we have done all the calculations. Derived variables are:\nV242960 = 6;\nV398658 = 6;\n\nNow we have finished this problem. ANSWER:\nV242960, V398658\n", "role": "assistant" } ]

[ "V356486" ]

[ { "content": "<context>\nassign V818811 = V136363 + 1. assign V555421 = V813867. assign V812906 = V633480 - 1. assign V284453 = V940507. assign V181366 = V813867 - 1. assign V586153 = V592260 + 1. assign V507978 = V649693. assign V366194 = V854021. assign V151894 = V095877 + 1. assign V750668 = V890115. assign V095877 = V854021. assign V890115 = V929005. assign V025919 = V492102 - 1. assign V446078 = V719764 - 1. assign V423245 = V854021 - 1. assign V484727 = V890115. assign V648280 = V719764 - 1. assign V414166 = V649693 + 1. assign V088673 = V638115. assign V462810 = 8. assign V010415 = V425066. assign V074786 = V284453. assign V710609 = V996223 + 1. assign V719764 = V548801 + 1. assign V205671 = V719764 + 1. assign V813867 = V929005 - 1. assign V631806 = V519876 + 1. assign V484414 = V699666 - 1. assign V366644 = V484727. assign V239513 = V208199 + 1. assign V493674 = V548801. assign V075224 = V638115. assign V320465 = V205671. assign V040869 = V917235 - 1. assign V903709 = V719764. assign V669560 = V524202. assign V356486 = V462810 - 1. assign V854021 = V996223. assign V600164 = V901589 + 1. assign V237334 = V493674 + 1. assign V136363 = V856277. assign V699666 = V667661 + 1. assign V835505 = V095877 - 1. assign V459619 = V181366 - 1. assign V854214 = V040869. assign V492102 = V667661. assign V805200 = V423245 - 1. assign V638115 = V493674. assign V440840 = V638115 + 1. assign V551216 = V631806 + 1. assign V565426 = V414166. assign V661114 = V565426 - 1. assign V425066 = V719764. assign V686555 = V415638. assign V488167 = V208199. assign V925323 = V600164 + 1. assign V519876 = V667661 - 1. assign V415638 = V548801 - 1. assign V202787 = V493674 + 1. assign V592260 = V484727 - 1. assign V562088 = V446078. assign V349979 = V638115 + 1. assign V996223 = V548801 + 1. assign V355282 = V710609 - 1. assign V895118 = V136363 - 1. assign V840167 = V202787. assign V929005 = V548801 + 1. assign V154513 = V088673. assign V435083 = V205671 + 1. assign V156618 = V555421. assign V208199 = V917235 + 1. assign V856277 = V710609 + 1. assign V649693 = V903709. assign V548175 = V710609. assign V940507 = V929005 - 1. assign V633480 = V202787. assign V917235 = V415638 - 1. assign V524120 = V484727 - 1. assign V342022 = V633480 - 1. assign V797491 = V812906 - 1. assign V829139 = V903709. assign V281711 = V649693. assign V984445 = V829139 - 1. assign V901589 = V075224 - 1. assign V667661 = V890115 - 1. assign V524202 = V840167 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V818811 = V136363 + 1. assign V555421 = V813867. assign V812906 = V633480 - 1. assign V284453 = V940507. assign V181366 = V813867 - 1. assign V586153 = V592260 + 1. assign V507978 = V649693. assign V366194 = V854021. assign V151894 = V095877 + 1. assign V750668 = V890115. assign V095877 = V854021. assign V890115 = V929005. assign V025919 = V492102 - 1. assign V446078 = V719764 - 1. assign V423245 = V854021 - 1. assign V484727 = V890115. assign V648280 = V719764 - 1. assign V414166 = V649693 + 1. assign V088673 = V638115. assign V462810 = 8. assign V010415 = V425066. assign V074786 = V284453. assign V710609 = V996223 + 1. assign V719764 = V548801 + 1. assign V205671 = V719764 + 1. assign V813867 = V929005 - 1. assign V631806 = V519876 + 1. assign V484414 = V699666 - 1. assign V366644 = V484727. assign V239513 = V208199 + 1. assign V493674 = V548801. assign V075224 = V638115. assign V320465 = V205671. assign V040869 = V917235 - 1. assign V903709 = V719764. assign V669560 = V524202. assign V356486 = V462810 - 1. assign V854021 = V996223. assign V600164 = V901589 + 1. assign V237334 = V493674 + 1. assign V136363 = V856277. assign V699666 = V667661 + 1. assign V835505 = V095877 - 1. assign V459619 = V181366 - 1. assign V854214 = V040869. assign V492102 = V667661. assign V805200 = V423245 - 1. assign V638115 = V493674. assign V440840 = V638115 + 1. assign V551216 = V631806 + 1. assign V565426 = V414166. assign V661114 = V565426 - 1. assign V425066 = V719764. assign V686555 = V415638. assign V488167 = V208199. assign V925323 = V600164 + 1. assign V519876 = V667661 - 1. assign V415638 = V548801 - 1. assign V202787 = V493674 + 1. assign V592260 = V484727 - 1. assign V562088 = V446078. assign V349979 = V638115 + 1. assign V996223 = V548801 + 1. assign V355282 = V710609 - 1. assign V895118 = V136363 - 1. assign V840167 = V202787. assign V929005 = V548801 + 1. assign V154513 = V088673. assign V435083 = V205671 + 1. assign V156618 = V555421. assign V208199 = V917235 + 1. assign V856277 = V710609 + 1. assign V649693 = V903709. assign V548175 = V710609. assign V940507 = V929005 - 1. assign V633480 = V202787. assign V917235 = V415638 - 1. assign V524120 = V484727 - 1. assign V342022 = V633480 - 1. assign V797491 = V812906 - 1. assign V829139 = V903709. assign V281711 = V649693. assign V984445 = V829139 - 1. assign V901589 = V075224 - 1. assign V667661 = V890115 - 1. assign V524202 = V840167 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV462810 = 8;\n\nFrom these direct assignment(s), we have: \nV356486 = V462810 - 1 = 8 - 1 =7;\nNo other variables can be derived from V356486;\nNo other variables can be derived from V462810;\n\nNow we have done all the calculations. Derived variables are:\nV462810 = 8;\nV356486 = 7;\n\nNow we have finished this problem. ANSWER:\nV356486\n", "role": "assistant" } ]

[ "V440560" ]

[ { "content": "<context>\nassign V759961 = V922892. assign V016935 = V386912. assign V948545 = V441688 + 1. assign V423502 = V915962. assign V671873 = V948545 + 1. assign V623979 = V947885 - 1. assign V663256 = V244661 + 1. assign V971790 = V376883 + 1. assign V465505 = V042260. assign V340943 = V948545. assign V842982 = V331677 - 1. assign V734542 = V127957 + 1. assign V376883 = V948545 - 1. assign V386912 = V298749. assign V741805 = V173934 - 1. assign V405595 = V270370. assign V540075 = V207631 + 1. assign V990971 = V633503 - 1. assign V340450 = V040453. assign V207631 = V759961. assign V843251 = V376883 - 1. assign V956104 = V270370 - 1. assign V647955 = V173934. assign V480708 = V671873 + 1. assign V440560 = V958037 + 1. assign V244661 = V270370 - 1. assign V778400 = V985336 + 1. assign V691976 = V298749. assign V256037 = V985336 + 1. assign V694779 = V317888. assign V472133 = V510938 - 1. assign V834974 = V127957. assign V196416 = V982487. assign V999399 = V374864 - 1. assign V930213 = V173934 - 1. assign V259490 = V982487 - 1. assign V099604 = V834974 - 1. assign V915962 = V224747 + 1. assign V958037 = 4. assign V030631 = V340943. assign V555966 = V940500 + 1. assign V199325 = V448262 - 1. assign V331677 = V173934 + 1. assign V703355 = V317888 + 1. assign V374864 = V196416 + 1. assign V940500 = V173264 - 1. assign V739729 = V999399. assign V166938 = V207631 - 1. assign V947885 = V127957. assign V106647 = V842982. assign V042260 = V127957. assign V510938 = V778400 + 1. assign V749770 = V270370. assign V298749 = V317888 - 1. assign V040453 = V948545. assign V317888 = V982487 + 1. assign V127957 = V842982 - 1. assign V573788 = V448262 + 1. assign V290917 = V173264. assign V998832 = V842982. assign V922892 = V982487 + 1. assign V255557 = V259490 - 1. assign V138547 = V386912 + 1. assign V663103 = V196416 - 1. assign V173264 = V405595 + 1. assign V720437 = V298749. assign V661576 = V694779. assign V974930 = V199325 + 1. assign V931071 = V040453 + 1. assign V835028 = V374864 + 1. assign V855576 = V842982 - 1. assign V440686 = V386912 + 1. assign V633503 = V982487. assign V823172 = V374864 - 1. assign V654486 = V581032 + 1. assign V270370 = V173934. assign V448262 = V270370 + 1. assign V441688 = V842982. assign V054746 = V720437 - 1. assign V730944 = V974930. assign V488502 = V974930 - 1. assign V985336 = V749770 + 1. assign V837466 = V374864. assign V581032 = V256037 + 1. assign V224747 = V199325 - 1. assign V982487 = V331677 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V759961 = V922892. assign V016935 = V386912. assign V948545 = V441688 + 1. assign V423502 = V915962. assign V671873 = V948545 + 1. assign V623979 = V947885 - 1. assign V663256 = V244661 + 1. assign V971790 = V376883 + 1. assign V465505 = V042260. assign V340943 = V948545. assign V842982 = V331677 - 1. assign V734542 = V127957 + 1. assign V376883 = V948545 - 1. assign V386912 = V298749. assign V741805 = V173934 - 1. assign V405595 = V270370. assign V540075 = V207631 + 1. assign V990971 = V633503 - 1. assign V340450 = V040453. assign V207631 = V759961. assign V843251 = V376883 - 1. assign V956104 = V270370 - 1. assign V647955 = V173934. assign V480708 = V671873 + 1. assign V440560 = V958037 + 1. assign V244661 = V270370 - 1. assign V778400 = V985336 + 1. assign V691976 = V298749. assign V256037 = V985336 + 1. assign V694779 = V317888. assign V472133 = V510938 - 1. assign V834974 = V127957. assign V196416 = V982487. assign V999399 = V374864 - 1. assign V930213 = V173934 - 1. assign V259490 = V982487 - 1. assign V099604 = V834974 - 1. assign V915962 = V224747 + 1. assign V958037 = 4. assign V030631 = V340943. assign V555966 = V940500 + 1. assign V199325 = V448262 - 1. assign V331677 = V173934 + 1. assign V703355 = V317888 + 1. assign V374864 = V196416 + 1. assign V940500 = V173264 - 1. assign V739729 = V999399. assign V166938 = V207631 - 1. assign V947885 = V127957. assign V106647 = V842982. assign V042260 = V127957. assign V510938 = V778400 + 1. assign V749770 = V270370. assign V298749 = V317888 - 1. assign V040453 = V948545. assign V317888 = V982487 + 1. assign V127957 = V842982 - 1. assign V573788 = V448262 + 1. assign V290917 = V173264. assign V998832 = V842982. assign V922892 = V982487 + 1. assign V255557 = V259490 - 1. assign V138547 = V386912 + 1. assign V663103 = V196416 - 1. assign V173264 = V405595 + 1. assign V720437 = V298749. assign V661576 = V694779. assign V974930 = V199325 + 1. assign V931071 = V040453 + 1. assign V835028 = V374864 + 1. assign V855576 = V842982 - 1. assign V440686 = V386912 + 1. assign V633503 = V982487. assign V823172 = V374864 - 1. assign V654486 = V581032 + 1. assign V270370 = V173934. assign V448262 = V270370 + 1. assign V441688 = V842982. assign V054746 = V720437 - 1. assign V730944 = V974930. assign V488502 = V974930 - 1. assign V985336 = V749770 + 1. assign V837466 = V374864. assign V581032 = V256037 + 1. assign V224747 = V199325 - 1. assign V982487 = V331677 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV958037 = 4;\n\nFrom these direct assignment(s), we have: \nV440560 = V958037 + 1 = 4 + 1 =5;\nNo other variables can be derived from V440560;\nNo other variables can be derived from V958037;\n\nNow we have done all the calculations. Derived variables are:\nV958037 = 4;\nV440560 = 5;\n\nNow we have finished this problem. ANSWER:\nV440560\n", "role": "assistant" } ]

[ "V703118", "V689834" ]

[ { "content": "<context>\nassign V378783 = V140198 + 1. assign V488748 = V928187 - 1. assign V194898 = V398265 + 1. assign V302387 = V317675. assign V903023 = V443087 - 1. assign V339742 = V317675 + 1. assign V686169 = V261133. assign V151015 = V660875 + 1. assign V327218 = V860853 + 1. assign V288197 = V534848 + 1. assign V219233 = V630587 + 1. assign V398265 = V980923. assign V261133 = V525249 + 1. assign V908786 = V980923 - 1. assign V380058 = V235703. assign V530729 = V686169. assign V860853 = V834750 - 1. assign V525249 = V306623 - 1. assign V015511 = V347979 - 1. assign V703118 = 5. assign V987700 = V140198 + 1. assign V507997 = V261133 - 1. assign V834750 = V261133 - 1. assign V071309 = V110049 - 1. assign V171280 = V928187. assign V601719 = V140198. assign V504061 = V380058. assign V129508 = V525249 + 1. assign V443087 = V110049 - 1. assign V534452 = V689920 + 1. assign V534848 = V203810 + 1. assign V694362 = V110049 - 1. assign V807885 = V980923 - 1. assign V689834 = V703118. assign V660875 = V398265. assign V918624 = V380058. assign V203810 = V908786 - 1. assign V317675 = V261133 - 1. assign V347979 = V235703. assign V200695 = V722258. assign V980923 = V525249 + 1. assign V525275 = V912241. assign V030732 = V676257 + 1. assign V268618 = V171280. assign V213891 = V380058 - 1. assign V722258 = V807885 + 1. assign V222690 = V213407 + 1. assign V079339 = V980923. assign V140512 = V987700. assign V235703 = V306623 + 1. assign V805003 = V398265 - 1. assign V227168 = V834750 + 1. assign V912241 = V686169 + 1. assign V630587 = V860853 + 1. assign V324014 = V079339. assign V636191 = V171280. assign V414809 = V347979. assign V994694 = V980923. assign V296534 = V306623 + 1. assign V824799 = V507997. assign V554896 = V660875 - 1. assign V509695 = V261133 + 1. assign V074418 = V525275 + 1. assign V321051 = V306623. assign V956686 = V306623 - 1. assign V094156 = V722258 + 1. assign V177924 = V987700 - 1. assign V956851 = V129508. assign V205560 = V805003. assign V173112 = V530729 - 1. assign V755122 = V694362 - 1. assign V610834 = V398265. assign V213407 = V140198. assign V689920 = V140512 - 1. assign V854523 = V268618. assign V943993 = V177924 - 1. assign V266643 = V129508. assign V676257 = V129508 + 1. assign V166871 = V110049. assign V998963 = V807885. assign V399538 = V213891. assign V128472 = V610834 - 1. assign V928187 = V980923 - 1. assign V140198 = V980923 - 1. assign V173860 = V507997. assign V110049 = V980923 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V378783 = V140198 + 1. assign V488748 = V928187 - 1. assign V194898 = V398265 + 1. assign V302387 = V317675. assign V903023 = V443087 - 1. assign V339742 = V317675 + 1. assign V686169 = V261133. assign V151015 = V660875 + 1. assign V327218 = V860853 + 1. assign V288197 = V534848 + 1. assign V219233 = V630587 + 1. assign V398265 = V980923. assign V261133 = V525249 + 1. assign V908786 = V980923 - 1. assign V380058 = V235703. assign V530729 = V686169. assign V860853 = V834750 - 1. assign V525249 = V306623 - 1. assign V015511 = V347979 - 1. assign V703118 = 5. assign V987700 = V140198 + 1. assign V507997 = V261133 - 1. assign V834750 = V261133 - 1. assign V071309 = V110049 - 1. assign V171280 = V928187. assign V601719 = V140198. assign V504061 = V380058. assign V129508 = V525249 + 1. assign V443087 = V110049 - 1. assign V534452 = V689920 + 1. assign V534848 = V203810 + 1. assign V694362 = V110049 - 1. assign V807885 = V980923 - 1. assign V689834 = V703118. assign V660875 = V398265. assign V918624 = V380058. assign V203810 = V908786 - 1. assign V317675 = V261133 - 1. assign V347979 = V235703. assign V200695 = V722258. assign V980923 = V525249 + 1. assign V525275 = V912241. assign V030732 = V676257 + 1. assign V268618 = V171280. assign V213891 = V380058 - 1. assign V722258 = V807885 + 1. assign V222690 = V213407 + 1. assign V079339 = V980923. assign V140512 = V987700. assign V235703 = V306623 + 1. assign V805003 = V398265 - 1. assign V227168 = V834750 + 1. assign V912241 = V686169 + 1. assign V630587 = V860853 + 1. assign V324014 = V079339. assign V636191 = V171280. assign V414809 = V347979. assign V994694 = V980923. assign V296534 = V306623 + 1. assign V824799 = V507997. assign V554896 = V660875 - 1. assign V509695 = V261133 + 1. assign V074418 = V525275 + 1. assign V321051 = V306623. assign V956686 = V306623 - 1. assign V094156 = V722258 + 1. assign V177924 = V987700 - 1. assign V956851 = V129508. assign V205560 = V805003. assign V173112 = V530729 - 1. assign V755122 = V694362 - 1. assign V610834 = V398265. assign V213407 = V140198. assign V689920 = V140512 - 1. assign V854523 = V268618. assign V943993 = V177924 - 1. assign V266643 = V129508. assign V676257 = V129508 + 1. assign V166871 = V110049. assign V998963 = V807885. assign V399538 = V213891. assign V128472 = V610834 - 1. assign V928187 = V980923 - 1. assign V140198 = V980923 - 1. assign V173860 = V507997. assign V110049 = V980923 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV703118 = 5;\n\nFrom these direct assignment(s), we have: \nV689834 = V703118 = 5;\nNo other variables can be derived from V689834;\nNo other variables can be derived from V703118;\n\nNow we have done all the calculations. Derived variables are:\nV703118 = 5;\nV689834 = 5;\n\nNow we have finished this problem. ANSWER:\nV703118, V689834\n", "role": "assistant" } ]

[ "V717154", "V957361" ]

[ { "content": "<context>\nassign V794624 = V686995 + 1. assign V232227 = V072434. assign V462319 = V528793. assign V073018 = V570761 - 1. assign V117272 = V544882 + 1. assign V537259 = V404419 - 1. assign V564724 = V805331. assign V003669 = V686995 + 1. assign V034939 = V462319 + 1. assign V968448 = V570761 + 1. assign V703003 = V099792 + 1. assign V285200 = V462319 - 1. assign V623708 = V279002 + 1. assign V279002 = V570761 - 1. assign V969772 = V005010. assign V632152 = V969772. assign V207828 = V072434 + 1. assign V607905 = V451651 + 1. assign V134655 = V697855. assign V751337 = V714424. assign V554379 = V462319 + 1. assign V733619 = V167935 - 1. assign V766988 = V570761 - 1. assign V099398 = V528793 + 1. assign V123125 = V884324. assign V812255 = V797766 + 1. assign V899549 = V257955 + 1. assign V593120 = V539342. assign V929336 = V923902 + 1. assign V221891 = V627112 - 1. assign V099792 = V380246 - 1. assign V043448 = V462319. assign V528793 = V884324. assign V797766 = V404419 + 1. assign V957361 = V717154. assign V415346 = V232227 - 1. assign V215471 = V321513 - 1. assign V486822 = V929336 + 1. assign V988430 = V095074. assign V076480 = V703003 - 1. assign V449545 = V884324 + 1. assign V369913 = V617282. assign V321513 = V627112 - 1. assign V278776 = V451651 - 1. assign V918634 = V278776 + 1. assign V015168 = V766988 + 1. assign V218551 = V528793. assign V005010 = V757008. assign V697855 = V528793. assign V635006 = V099792. assign V504082 = V812255 - 1. assign V573389 = V245891 - 1. assign V341540 = V617282 - 1. assign V584046 = V479898. assign V095074 = V005010 + 1. assign V072434 = V699740. assign V280869 = V584046 - 1. assign V245891 = V584046 + 1. assign V845326 = V659688 + 1. assign V257955 = V697855 - 1. assign V757008 = V884324. assign V923902 = V539342 - 1. assign V380246 = V884324 - 1. assign V814883 = V215471. assign V261340 = V969772 + 1. assign V686995 = V357501 + 1. assign V451651 = V699740 + 1. assign V714424 = V261340. assign V539342 = V462319. assign V357501 = V570761 - 1. assign V570761 = V528793 - 1. assign V627112 = V697855 - 1. assign V214892 = V627112. assign V699740 = V462319. assign V617282 = V929336 + 1. assign V805331 = V095074. assign V897936 = V757008 - 1. assign V459948 = V766988 + 1. assign V167935 = V703003. assign V404419 = V462319 - 1. assign V479898 = V627112 - 1. assign V582115 = V969772. assign V659688 = V015168 - 1. assign V717154 = 6. assign V547225 = V072434 + 1. assign V544882 = V257955.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V794624 = V686995 + 1. assign V232227 = V072434. assign V462319 = V528793. assign V073018 = V570761 - 1. assign V117272 = V544882 + 1. assign V537259 = V404419 - 1. assign V564724 = V805331. assign V003669 = V686995 + 1. assign V034939 = V462319 + 1. assign V968448 = V570761 + 1. assign V703003 = V099792 + 1. assign V285200 = V462319 - 1. assign V623708 = V279002 + 1. assign V279002 = V570761 - 1. assign V969772 = V005010. assign V632152 = V969772. assign V207828 = V072434 + 1. assign V607905 = V451651 + 1. assign V134655 = V697855. assign V751337 = V714424. assign V554379 = V462319 + 1. assign V733619 = V167935 - 1. assign V766988 = V570761 - 1. assign V099398 = V528793 + 1. assign V123125 = V884324. assign V812255 = V797766 + 1. assign V899549 = V257955 + 1. assign V593120 = V539342. assign V929336 = V923902 + 1. assign V221891 = V627112 - 1. assign V099792 = V380246 - 1. assign V043448 = V462319. assign V528793 = V884324. assign V797766 = V404419 + 1. assign V957361 = V717154. assign V415346 = V232227 - 1. assign V215471 = V321513 - 1. assign V486822 = V929336 + 1. assign V988430 = V095074. assign V076480 = V703003 - 1. assign V449545 = V884324 + 1. assign V369913 = V617282. assign V321513 = V627112 - 1. assign V278776 = V451651 - 1. assign V918634 = V278776 + 1. assign V015168 = V766988 + 1. assign V218551 = V528793. assign V005010 = V757008. assign V697855 = V528793. assign V635006 = V099792. assign V504082 = V812255 - 1. assign V573389 = V245891 - 1. assign V341540 = V617282 - 1. assign V584046 = V479898. assign V095074 = V005010 + 1. assign V072434 = V699740. assign V280869 = V584046 - 1. assign V245891 = V584046 + 1. assign V845326 = V659688 + 1. assign V257955 = V697855 - 1. assign V757008 = V884324. assign V923902 = V539342 - 1. assign V380246 = V884324 - 1. assign V814883 = V215471. assign V261340 = V969772 + 1. assign V686995 = V357501 + 1. assign V451651 = V699740 + 1. assign V714424 = V261340. assign V539342 = V462319. assign V357501 = V570761 - 1. assign V570761 = V528793 - 1. assign V627112 = V697855 - 1. assign V214892 = V627112. assign V699740 = V462319. assign V617282 = V929336 + 1. assign V805331 = V095074. assign V897936 = V757008 - 1. assign V459948 = V766988 + 1. assign V167935 = V703003. assign V404419 = V462319 - 1. assign V479898 = V627112 - 1. assign V582115 = V969772. assign V659688 = V015168 - 1. assign V717154 = 6. assign V547225 = V072434 + 1. assign V544882 = V257955.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV717154 = 6;\n\nFrom these direct assignment(s), we have: \nV957361 = V717154 = 6;\nNo other variables can be derived from V957361;\nNo other variables can be derived from V717154;\n\nNow we have done all the calculations. Derived variables are:\nV717154 = 6;\nV957361 = 6;\n\nNow we have finished this problem. ANSWER:\nV717154, V957361\n", "role": "assistant" } ]

[ "V996862" ]

[ { "content": "<context>\nassign V848422 = V633185. assign V321928 = V790364 + 1. assign V960288 = V526661. assign V923914 = V633185 + 1. assign V388503 = V968647 + 1. assign V415050 = V388796. assign V234884 = V908918 + 1. assign V755022 = V053363 - 1. assign V596424 = V848422. assign V529225 = V182473 - 1. assign V745944 = V124422. assign V305852 = V960288. assign V839634 = 10. assign V014098 = V606595. assign V849850 = V449290. assign V119257 = V937372 + 1. assign V827647 = V422686 + 1. assign V198014 = V354167 - 1. assign V362512 = V062293 - 1. assign V870098 = V760484 - 1. assign V478978 = V481374. assign V394388 = V189160 + 1. assign V543273 = V481374 - 1. assign V449290 = V481374. assign V175110 = V185051. assign V478633 = V908918 - 1. assign V685892 = V824761 - 1. assign V096585 = V346778 + 1. assign V179480 = V354167. assign V086512 = V062293 + 1. assign V844092 = V937372. assign V633185 = V481374 + 1. assign V354167 = V937372 - 1. assign V761754 = V449290. assign V346778 = V204439 + 1. assign V771275 = V929938 + 1. assign V937372 = V481374 + 1. assign V996862 = V839634 + 1. assign V519188 = V305852 + 1. assign V587123 = V771275 + 1. assign V124422 = V481374. assign V527726 = V478978 - 1. assign V388796 = V185051 - 1. assign V908918 = V606595. assign V519299 = V633185. assign V760484 = V481374. assign V185051 = V119257 + 1. assign V524550 = V096585 - 1. assign V282803 = V062293 - 1. assign V701088 = V305852 - 1. assign V929938 = V937372 + 1. assign V978795 = V937856 + 1. assign V334996 = V848422 + 1. assign V374693 = V761754 + 1. assign V824761 = V606595. assign V510277 = V870098. assign V182473 = V526661. assign V526661 = V633185 - 1. assign V963908 = V929938 - 1. assign V557770 = V827647 + 1. assign V189160 = V198014. assign V078567 = V198014 + 1. assign V227931 = V849850 + 1. assign V726732 = V937856 - 1. assign V977608 = V524550 - 1. assign V835230 = V124422 + 1. assign V083614 = V824761. assign V946374 = V481374 - 1. assign V606595 = V449290 - 1. assign V937856 = V848422 + 1. assign V333703 = V388796 + 1. assign V396987 = V824761 - 1. assign V092499 = V587123. assign V268687 = V923914 - 1. assign V991153 = V086512 - 1. assign V573525 = V835230 - 1. assign V790364 = V182473. assign V968647 = V346778 + 1. assign V053363 = V760484. assign V369611 = V204439. assign V062293 = V937372 - 1. assign V252920 = V844092. assign V422686 = V449290 - 1. assign V083868 = V175110 + 1. assign V204439 = V824761. assign V565614 = V923914 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V848422 = V633185. assign V321928 = V790364 + 1. assign V960288 = V526661. assign V923914 = V633185 + 1. assign V388503 = V968647 + 1. assign V415050 = V388796. assign V234884 = V908918 + 1. assign V755022 = V053363 - 1. assign V596424 = V848422. assign V529225 = V182473 - 1. assign V745944 = V124422. assign V305852 = V960288. assign V839634 = 10. assign V014098 = V606595. assign V849850 = V449290. assign V119257 = V937372 + 1. assign V827647 = V422686 + 1. assign V198014 = V354167 - 1. assign V362512 = V062293 - 1. assign V870098 = V760484 - 1. assign V478978 = V481374. assign V394388 = V189160 + 1. assign V543273 = V481374 - 1. assign V449290 = V481374. assign V175110 = V185051. assign V478633 = V908918 - 1. assign V685892 = V824761 - 1. assign V096585 = V346778 + 1. assign V179480 = V354167. assign V086512 = V062293 + 1. assign V844092 = V937372. assign V633185 = V481374 + 1. assign V354167 = V937372 - 1. assign V761754 = V449290. assign V346778 = V204439 + 1. assign V771275 = V929938 + 1. assign V937372 = V481374 + 1. assign V996862 = V839634 + 1. assign V519188 = V305852 + 1. assign V587123 = V771275 + 1. assign V124422 = V481374. assign V527726 = V478978 - 1. assign V388796 = V185051 - 1. assign V908918 = V606595. assign V519299 = V633185. assign V760484 = V481374. assign V185051 = V119257 + 1. assign V524550 = V096585 - 1. assign V282803 = V062293 - 1. assign V701088 = V305852 - 1. assign V929938 = V937372 + 1. assign V978795 = V937856 + 1. assign V334996 = V848422 + 1. assign V374693 = V761754 + 1. assign V824761 = V606595. assign V510277 = V870098. assign V182473 = V526661. assign V526661 = V633185 - 1. assign V963908 = V929938 - 1. assign V557770 = V827647 + 1. assign V189160 = V198014. assign V078567 = V198014 + 1. assign V227931 = V849850 + 1. assign V726732 = V937856 - 1. assign V977608 = V524550 - 1. assign V835230 = V124422 + 1. assign V083614 = V824761. assign V946374 = V481374 - 1. assign V606595 = V449290 - 1. assign V937856 = V848422 + 1. assign V333703 = V388796 + 1. assign V396987 = V824761 - 1. assign V092499 = V587123. assign V268687 = V923914 - 1. assign V991153 = V086512 - 1. assign V573525 = V835230 - 1. assign V790364 = V182473. assign V968647 = V346778 + 1. assign V053363 = V760484. assign V369611 = V204439. assign V062293 = V937372 - 1. assign V252920 = V844092. assign V422686 = V449290 - 1. assign V083868 = V175110 + 1. assign V204439 = V824761. assign V565614 = V923914 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV839634 = 10;\n\nFrom these direct assignment(s), we have: \nV996862 = V839634 + 1 = 10 + 1 =11;\nNo other variables can be derived from V996862;\nNo other variables can be derived from V839634;\n\nNow we have done all the calculations. Derived variables are:\nV839634 = 10;\nV996862 = 11;\n\nNow we have finished this problem. ANSWER:\nV996862\n", "role": "assistant" } ]

[ "V243146" ]

[ { "content": "<context>\nassign V215943 = V020401. assign V979378 = V722476 - 1. assign V633261 = V943728 - 1. assign V168353 = V551772 + 1. assign V521587 = V943728. assign V493617 = V637370 + 1. assign V219903 = V572588 - 1. assign V317795 = V135443. assign V388412 = V041287. assign V135443 = V190375. assign V324606 = V190375 + 1. assign V408998 = V243146 + 1. assign V575679 = V722476 + 1. assign V139246 = V041287 - 1. assign V907686 = V971435. assign V942305 = V637370 + 1. assign V134016 = V236847 + 1. assign V333699 = V226555 - 1. assign V985921 = V041287. assign V634481 = V365384 + 1. assign V627813 = V874292 + 1. assign V216318 = V745177 - 1. assign V250100 = V387726. assign V722476 = V612658. assign V374947 = V722476. assign V110710 = V575679. assign V106071 = V809389. assign V971435 = V612658 + 1. assign V505783 = V979378. assign V110444 = V493617 + 1. assign V304374 = V971435 + 1. assign V277046 = V168353. assign V345617 = V168995. assign V698816 = V050726 - 1. assign V243146 = 8. assign V502302 = V521587 - 1. assign V599462 = V979378. assign V079808 = V971435. assign V826951 = V637370. assign V605725 = V135443 - 1. assign V572588 = V929023 - 1. assign V379711 = V493617 + 1. assign V187957 = V533044 - 1. assign V809389 = V457971 - 1. assign V742200 = V612658. assign V874292 = V995436 - 1. assign V020401 = V168353. assign V533044 = V985921 + 1. assign V387726 = V974375 - 1. assign V974375 = V041287. assign V378494 = V637370 + 1. assign V365384 = V041287 - 1. assign V449469 = V378494. assign V748219 = V226555 + 1. assign V236847 = V139246. assign V939229 = V971435. assign V226555 = V139246. assign V899105 = V985921 + 1. assign V995436 = V050726 + 1. assign V763489 = V742200. assign V143876 = V168995 + 1. assign V478485 = V748219 + 1. assign V179620 = V304374. assign V190375 = V742200 + 1. assign V206876 = V707127 - 1. assign V164504 = V742200 + 1. assign V943728 = V226555 + 1. assign V041287 = V050726. assign V796932 = V365384. assign V050726 = V742200. assign V707127 = V742200 + 1. assign V106619 = V050726 + 1. assign V674174 = V041287. assign V945252 = V985921 + 1. assign V637370 = V050726. assign V984705 = V168995. assign V168995 = V742200 - 1. assign V697614 = V533044 + 1. assign V379491 = V985921. assign V457971 = V139246. assign V925614 = V388412 - 1. assign V752809 = V995436 - 1. assign V929023 = V612658 + 1. assign V471582 = V874292 + 1. assign V551772 = V979378 + 1. assign V745177 = V041287.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V215943 = V020401. assign V979378 = V722476 - 1. assign V633261 = V943728 - 1. assign V168353 = V551772 + 1. assign V521587 = V943728. assign V493617 = V637370 + 1. assign V219903 = V572588 - 1. assign V317795 = V135443. assign V388412 = V041287. assign V135443 = V190375. assign V324606 = V190375 + 1. assign V408998 = V243146 + 1. assign V575679 = V722476 + 1. assign V139246 = V041287 - 1. assign V907686 = V971435. assign V942305 = V637370 + 1. assign V134016 = V236847 + 1. assign V333699 = V226555 - 1. assign V985921 = V041287. assign V634481 = V365384 + 1. assign V627813 = V874292 + 1. assign V216318 = V745177 - 1. assign V250100 = V387726. assign V722476 = V612658. assign V374947 = V722476. assign V110710 = V575679. assign V106071 = V809389. assign V971435 = V612658 + 1. assign V505783 = V979378. assign V110444 = V493617 + 1. assign V304374 = V971435 + 1. assign V277046 = V168353. assign V345617 = V168995. assign V698816 = V050726 - 1. assign V243146 = 8. assign V502302 = V521587 - 1. assign V599462 = V979378. assign V079808 = V971435. assign V826951 = V637370. assign V605725 = V135443 - 1. assign V572588 = V929023 - 1. assign V379711 = V493617 + 1. assign V187957 = V533044 - 1. assign V809389 = V457971 - 1. assign V742200 = V612658. assign V874292 = V995436 - 1. assign V020401 = V168353. assign V533044 = V985921 + 1. assign V387726 = V974375 - 1. assign V974375 = V041287. assign V378494 = V637370 + 1. assign V365384 = V041287 - 1. assign V449469 = V378494. assign V748219 = V226555 + 1. assign V236847 = V139246. assign V939229 = V971435. assign V226555 = V139246. assign V899105 = V985921 + 1. assign V995436 = V050726 + 1. assign V763489 = V742200. assign V143876 = V168995 + 1. assign V478485 = V748219 + 1. assign V179620 = V304374. assign V190375 = V742200 + 1. assign V206876 = V707127 - 1. assign V164504 = V742200 + 1. assign V943728 = V226555 + 1. assign V041287 = V050726. assign V796932 = V365384. assign V050726 = V742200. assign V707127 = V742200 + 1. assign V106619 = V050726 + 1. assign V674174 = V041287. assign V945252 = V985921 + 1. assign V637370 = V050726. assign V984705 = V168995. assign V168995 = V742200 - 1. assign V697614 = V533044 + 1. assign V379491 = V985921. assign V457971 = V139246. assign V925614 = V388412 - 1. assign V752809 = V995436 - 1. assign V929023 = V612658 + 1. assign V471582 = V874292 + 1. assign V551772 = V979378 + 1. assign V745177 = V041287.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV243146 = 8;\n\nFrom these direct assignment(s), we have: \nV408998 = V243146 + 1 = 8 + 1 =9;\nNo other variables can be derived from V408998;\nNo other variables can be derived from V243146;\n\nNow we have done all the calculations. Derived variables are:\nV243146 = 8;\nV408998 = 9;\n\nNow we have finished this problem. ANSWER:\nV243146\n", "role": "assistant" } ]

[ "V736114", "V700046" ]

[ { "content": "<context>\nassign V972965 = V861220 - 1. assign V699595 = V179276 + 1. assign V736114 = 4. assign V163376 = V390143. assign V689724 = V224912 + 1. assign V562008 = V283804 + 1. assign V731679 = V533807 + 1. assign V471839 = V167264 - 1. assign V774167 = V552479 - 1. assign V497919 = V948889. assign V668974 = V786501 + 1. assign V551895 = V967694 + 1. assign V730848 = V551895. assign V738924 = V129465. assign V754239 = V283804 - 1. assign V874152 = V935002 - 1. assign V643017 = V442478 + 1. assign V617724 = V249335 - 1. assign V861220 = V215053 + 1. assign V197700 = V799464. assign V129465 = V417603 + 1. assign V262670 = V935002 - 1. assign V438308 = V197700. assign V935002 = V552479. assign V501865 = V442478. assign V799464 = V967694 - 1. assign V292676 = V262670 - 1. assign V700046 = V736114. assign V786501 = V179276 - 1. assign V064220 = V799464. assign V948889 = V228585. assign V539243 = V215053 + 1. assign V471993 = V187140 - 1. assign V588878 = V935002 + 1. assign V789686 = V091140 + 1. assign V091140 = V228585. assign V199658 = V760562 - 1. assign V190067 = V292676 + 1. assign V985653 = V519003. assign V003837 = V786357 + 1. assign V150789 = V533807 - 1. assign V786007 = V215053 + 1. assign V204836 = V754239. assign V167264 = V588878. assign V786357 = V967694. assign V417603 = V754239. assign V033452 = V483492 - 1. assign V520965 = V985653. assign V483492 = V390143 + 1. assign V304811 = V246990 + 1. assign V477822 = V972965 + 1. assign V796631 = V246990 + 1. assign V519003 = V215053. assign V693566 = V717037. assign V224912 = V501865 + 1. assign V121524 = V551895 + 1. assign V215053 = V551895 - 1. assign V191834 = V422593. assign V422593 = V935002. assign V179276 = V861220 - 1. assign V120231 = V519003 - 1. assign V187140 = V861220 - 1. assign V316148 = V190067. assign V132863 = V781479 - 1. assign V246990 = V228585 + 1. assign V552479 = V551895. assign V760562 = V754239 - 1. assign V533807 = V861220 + 1. assign V721379 = V935002 - 1. assign V879513 = V121524. assign V518003 = V501865 - 1. assign V228585 = V799464 + 1. assign V753976 = V191834 - 1. assign V064397 = V262670. assign V283804 = V442478. assign V767810 = V064220 + 1. assign V304193 = V552479 + 1. assign V717037 = V422593 - 1. assign V249335 = V781479 - 1. assign V390143 = V519003. assign V185384 = V246990 + 1. assign V252284 = V874152 - 1. assign V967694 = V442478 + 1. assign V526304 = V422593. assign V328046 = V767810 - 1. assign V781479 = V551895 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V972965 = V861220 - 1. assign V699595 = V179276 + 1. assign V736114 = 4. assign V163376 = V390143. assign V689724 = V224912 + 1. assign V562008 = V283804 + 1. assign V731679 = V533807 + 1. assign V471839 = V167264 - 1. assign V774167 = V552479 - 1. assign V497919 = V948889. assign V668974 = V786501 + 1. assign V551895 = V967694 + 1. assign V730848 = V551895. assign V738924 = V129465. assign V754239 = V283804 - 1. assign V874152 = V935002 - 1. assign V643017 = V442478 + 1. assign V617724 = V249335 - 1. assign V861220 = V215053 + 1. assign V197700 = V799464. assign V129465 = V417603 + 1. assign V262670 = V935002 - 1. assign V438308 = V197700. assign V935002 = V552479. assign V501865 = V442478. assign V799464 = V967694 - 1. assign V292676 = V262670 - 1. assign V700046 = V736114. assign V786501 = V179276 - 1. assign V064220 = V799464. assign V948889 = V228585. assign V539243 = V215053 + 1. assign V471993 = V187140 - 1. assign V588878 = V935002 + 1. assign V789686 = V091140 + 1. assign V091140 = V228585. assign V199658 = V760562 - 1. assign V190067 = V292676 + 1. assign V985653 = V519003. assign V003837 = V786357 + 1. assign V150789 = V533807 - 1. assign V786007 = V215053 + 1. assign V204836 = V754239. assign V167264 = V588878. assign V786357 = V967694. assign V417603 = V754239. assign V033452 = V483492 - 1. assign V520965 = V985653. assign V483492 = V390143 + 1. assign V304811 = V246990 + 1. assign V477822 = V972965 + 1. assign V796631 = V246990 + 1. assign V519003 = V215053. assign V693566 = V717037. assign V224912 = V501865 + 1. assign V121524 = V551895 + 1. assign V215053 = V551895 - 1. assign V191834 = V422593. assign V422593 = V935002. assign V179276 = V861220 - 1. assign V120231 = V519003 - 1. assign V187140 = V861220 - 1. assign V316148 = V190067. assign V132863 = V781479 - 1. assign V246990 = V228585 + 1. assign V552479 = V551895. assign V760562 = V754239 - 1. assign V533807 = V861220 + 1. assign V721379 = V935002 - 1. assign V879513 = V121524. assign V518003 = V501865 - 1. assign V228585 = V799464 + 1. assign V753976 = V191834 - 1. assign V064397 = V262670. assign V283804 = V442478. assign V767810 = V064220 + 1. assign V304193 = V552479 + 1. assign V717037 = V422593 - 1. assign V249335 = V781479 - 1. assign V390143 = V519003. assign V185384 = V246990 + 1. assign V252284 = V874152 - 1. assign V967694 = V442478 + 1. assign V526304 = V422593. assign V328046 = V767810 - 1. assign V781479 = V551895 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV736114 = 4;\n\nFrom these direct assignment(s), we have: \nV700046 = V736114 = 4;\nNo other variables can be derived from V700046;\nNo other variables can be derived from V736114;\n\nNow we have done all the calculations. Derived variables are:\nV736114 = 4;\nV700046 = 4;\n\nNow we have finished this problem. ANSWER:\nV736114, V700046\n", "role": "assistant" } ]

[ "V599145" ]

[ { "content": "<context>\nassign V063594 = V348630 + 1. assign V500204 = V052084 + 1. assign V322909 = V740717. assign V689949 = V911041 - 1. assign V731728 = V944994 - 1. assign V294551 = V627044 + 1. assign V599145 = 2. assign V464665 = V537663 - 1. assign V985675 = V440157. assign V348630 = V269198 + 1. assign V916088 = V187794 + 1. assign V903075 = V798878 + 1. assign V484020 = V224498 - 1. assign V187794 = V325088. assign V179018 = V187794 - 1. assign V866931 = V839119 - 1. assign V751815 = V322909 + 1. assign V361086 = V500204. assign V848510 = V827252. assign V851618 = V944994 + 1. assign V836037 = V985675 + 1. assign V640129 = V916088 - 1. assign V839119 = V058151 - 1. assign V140286 = V440157. assign V374166 = V994850. assign V007039 = V158310. assign V537393 = V187794 - 1. assign V876134 = V051805. assign V482299 = V500204. assign V020194 = V294551. assign V100277 = V482299. assign V320761 = V724011. assign V220456 = V456863. assign V058151 = V576884 - 1. assign V740717 = V827252. assign V470946 = V827252 - 1. assign V735123 = V944994. assign V646987 = V058151 - 1. assign V823736 = V058151. assign V154927 = V322909. assign V140440 = V154927 - 1. assign V148105 = V827252. assign V356039 = V703809. assign V798878 = V325088 + 1. assign V515519 = V187794 + 1. assign V576884 = V801640 - 1. assign V224498 = V148105 + 1. assign V051805 = V364245. assign V628149 = V320761 - 1. assign V767072 = V364245 + 1. assign V373808 = V148105. assign V433104 = V294551. assign V341427 = V456863 - 1. assign V580325 = V294551 - 1. assign V440157 = V576884 + 1. assign V620427 = V051805 + 1. assign V888369 = V187794 + 1. assign V977780 = V801640 + 1. assign V456863 = V908204 - 1. assign V994850 = V052084 + 1. assign V756131 = V537393 - 1. assign V325088 = V827252 - 1. assign V805371 = V537393 - 1. assign V318372 = V374166 + 1. assign V614723 = V576884 - 1. assign V337834 = V537663. assign V364245 = V052084 - 1. assign V449676 = V227396 - 1. assign V986685 = V689949 - 1. assign V931445 = V456863 - 1. assign V052084 = V827252 - 1. assign V724011 = V827252. assign V537663 = V876134. assign V703809 = V154927 + 1. assign V183062 = V599145 + 1. assign V269198 = V322909. assign V158310 = V851618. assign V944994 = V751815. assign V754336 = V269198. assign V908204 = V827252. assign V227396 = V179018. assign V627044 = V148105 + 1. assign V911041 = V751815. assign V432506 = V051805. assign V801640 = V827252. assign V200716 = V482299 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V063594 = V348630 + 1. assign V500204 = V052084 + 1. assign V322909 = V740717. assign V689949 = V911041 - 1. assign V731728 = V944994 - 1. assign V294551 = V627044 + 1. assign V599145 = 2. assign V464665 = V537663 - 1. assign V985675 = V440157. assign V348630 = V269198 + 1. assign V916088 = V187794 + 1. assign V903075 = V798878 + 1. assign V484020 = V224498 - 1. assign V187794 = V325088. assign V179018 = V187794 - 1. assign V866931 = V839119 - 1. assign V751815 = V322909 + 1. assign V361086 = V500204. assign V848510 = V827252. assign V851618 = V944994 + 1. assign V836037 = V985675 + 1. assign V640129 = V916088 - 1. assign V839119 = V058151 - 1. assign V140286 = V440157. assign V374166 = V994850. assign V007039 = V158310. assign V537393 = V187794 - 1. assign V876134 = V051805. assign V482299 = V500204. assign V020194 = V294551. assign V100277 = V482299. assign V320761 = V724011. assign V220456 = V456863. assign V058151 = V576884 - 1. assign V740717 = V827252. assign V470946 = V827252 - 1. assign V735123 = V944994. assign V646987 = V058151 - 1. assign V823736 = V058151. assign V154927 = V322909. assign V140440 = V154927 - 1. assign V148105 = V827252. assign V356039 = V703809. assign V798878 = V325088 + 1. assign V515519 = V187794 + 1. assign V576884 = V801640 - 1. assign V224498 = V148105 + 1. assign V051805 = V364245. assign V628149 = V320761 - 1. assign V767072 = V364245 + 1. assign V373808 = V148105. assign V433104 = V294551. assign V341427 = V456863 - 1. assign V580325 = V294551 - 1. assign V440157 = V576884 + 1. assign V620427 = V051805 + 1. assign V888369 = V187794 + 1. assign V977780 = V801640 + 1. assign V456863 = V908204 - 1. assign V994850 = V052084 + 1. assign V756131 = V537393 - 1. assign V325088 = V827252 - 1. assign V805371 = V537393 - 1. assign V318372 = V374166 + 1. assign V614723 = V576884 - 1. assign V337834 = V537663. assign V364245 = V052084 - 1. assign V449676 = V227396 - 1. assign V986685 = V689949 - 1. assign V931445 = V456863 - 1. assign V052084 = V827252 - 1. assign V724011 = V827252. assign V537663 = V876134. assign V703809 = V154927 + 1. assign V183062 = V599145 + 1. assign V269198 = V322909. assign V158310 = V851618. assign V944994 = V751815. assign V754336 = V269198. assign V908204 = V827252. assign V227396 = V179018. assign V627044 = V148105 + 1. assign V911041 = V751815. assign V432506 = V051805. assign V801640 = V827252. assign V200716 = V482299 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV599145 = 2;\n\nFrom these direct assignment(s), we have: \nV183062 = V599145 + 1 = 2 + 1 =3;\nNo other variables can be derived from V183062;\nNo other variables can be derived from V599145;\n\nNow we have done all the calculations. Derived variables are:\nV599145 = 2;\nV183062 = 3;\n\nNow we have finished this problem. ANSWER:\nV599145\n", "role": "assistant" } ]

[ "V903120" ]

[ { "content": "<context>\nassign V578608 = V778404 + 1. assign V094654 = V787421. assign V251875 = V059707 + 1. assign V343123 = V581489. assign V251256 = V272918 + 1. assign V614894 = V889994 + 1. assign V383199 = V011335 + 1. assign V895297 = V054141 + 1. assign V324100 = V809136. assign V964008 = V180605 - 1. assign V663148 = V496532. assign V409239 = V581489 + 1. assign V496532 = V589600 + 1. assign V737793 = V581489. assign V059707 = V581489. assign V477073 = V409239 + 1. assign V654730 = V895297 + 1. assign V478487 = V737793. assign V418367 = V829366 + 1. assign V696587 = V374222 + 1. assign V560013 = V346972. assign V088369 = V478487 - 1. assign V476483 = V011335. assign V826670 = V736569 - 1. assign V650677 = V060284 - 1. assign V445397 = V809136. assign V275798 = V272918 + 1. assign V369984 = V054141. assign V393483 = V640211 + 1. assign V384706 = V614894. assign V522921 = V925399 - 1. assign V019468 = V878624 - 1. assign V374222 = V414179. assign V735451 = V964008 - 1. assign V925399 = V840347 + 1. assign V970888 = V729834 - 1. assign V667699 = V925399 - 1. assign V614481 = V643245. assign V819931 = V735451 - 1. assign V772174 = V560013. assign V778404 = V011335 + 1. assign V370923 = V903120 + 1. assign V878624 = V414179 + 1. assign V829366 = V737793 - 1. assign V719478 = V251875 + 1. assign V346972 = V878624 - 1. assign V836730 = V643245 + 1. assign V272918 = V478487 - 1. assign V068833 = V889994 - 1. assign V397098 = V840347 - 1. assign V061348 = V829366. assign V982807 = V723246 - 1. assign V396168 = V889994 + 1. assign V011335 = V878624. assign V406916 = V476483 + 1. assign V611621 = V614481 - 1. assign V140820 = V478487 - 1. assign V581489 = V374222. assign V640211 = V476483 + 1. assign V764552 = V643245 - 1. assign V054141 = V614894 - 1. assign V729834 = V578608 + 1. assign V643245 = V094654 - 1. assign V579828 = V068833 + 1. assign V595973 = V878624 + 1. assign V458884 = V964008 + 1. assign V840347 = V068833 - 1. assign V723246 = V889994 + 1. assign V809136 = V737793. assign V798800 = V878624 + 1. assign V814580 = V737793 + 1. assign V717874 = V284681 + 1. assign V787421 = V068833 - 1. assign V549086 = V729834 - 1. assign V284681 = V723246 + 1. assign V716110 = V343123 + 1. assign V332036 = V374222. assign V180605 = V614894. assign V060284 = V396168. assign V889994 = V829366 - 1. assign V736569 = V643245 - 1. assign V589600 = V384706 - 1. assign V456805 = V346972 + 1. assign V903120 = 10. assign V041097 = V826670 - 1. assign V172664 = V578608 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V578608 = V778404 + 1. assign V094654 = V787421. assign V251875 = V059707 + 1. assign V343123 = V581489. assign V251256 = V272918 + 1. assign V614894 = V889994 + 1. assign V383199 = V011335 + 1. assign V895297 = V054141 + 1. assign V324100 = V809136. assign V964008 = V180605 - 1. assign V663148 = V496532. assign V409239 = V581489 + 1. assign V496532 = V589600 + 1. assign V737793 = V581489. assign V059707 = V581489. assign V477073 = V409239 + 1. assign V654730 = V895297 + 1. assign V478487 = V737793. assign V418367 = V829366 + 1. assign V696587 = V374222 + 1. assign V560013 = V346972. assign V088369 = V478487 - 1. assign V476483 = V011335. assign V826670 = V736569 - 1. assign V650677 = V060284 - 1. assign V445397 = V809136. assign V275798 = V272918 + 1. assign V369984 = V054141. assign V393483 = V640211 + 1. assign V384706 = V614894. assign V522921 = V925399 - 1. assign V019468 = V878624 - 1. assign V374222 = V414179. assign V735451 = V964008 - 1. assign V925399 = V840347 + 1. assign V970888 = V729834 - 1. assign V667699 = V925399 - 1. assign V614481 = V643245. assign V819931 = V735451 - 1. assign V772174 = V560013. assign V778404 = V011335 + 1. assign V370923 = V903120 + 1. assign V878624 = V414179 + 1. assign V829366 = V737793 - 1. assign V719478 = V251875 + 1. assign V346972 = V878624 - 1. assign V836730 = V643245 + 1. assign V272918 = V478487 - 1. assign V068833 = V889994 - 1. assign V397098 = V840347 - 1. assign V061348 = V829366. assign V982807 = V723246 - 1. assign V396168 = V889994 + 1. assign V011335 = V878624. assign V406916 = V476483 + 1. assign V611621 = V614481 - 1. assign V140820 = V478487 - 1. assign V581489 = V374222. assign V640211 = V476483 + 1. assign V764552 = V643245 - 1. assign V054141 = V614894 - 1. assign V729834 = V578608 + 1. assign V643245 = V094654 - 1. assign V579828 = V068833 + 1. assign V595973 = V878624 + 1. assign V458884 = V964008 + 1. assign V840347 = V068833 - 1. assign V723246 = V889994 + 1. assign V809136 = V737793. assign V798800 = V878624 + 1. assign V814580 = V737793 + 1. assign V717874 = V284681 + 1. assign V787421 = V068833 - 1. assign V549086 = V729834 - 1. assign V284681 = V723246 + 1. assign V716110 = V343123 + 1. assign V332036 = V374222. assign V180605 = V614894. assign V060284 = V396168. assign V889994 = V829366 - 1. assign V736569 = V643245 - 1. assign V589600 = V384706 - 1. assign V456805 = V346972 + 1. assign V903120 = 10. assign V041097 = V826670 - 1. assign V172664 = V578608 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV903120 = 10;\n\nFrom these direct assignment(s), we have: \nV370923 = V903120 + 1 = 10 + 1 =11;\nNo other variables can be derived from V370923;\nNo other variables can be derived from V903120;\n\nNow we have done all the calculations. Derived variables are:\nV903120 = 10;\nV370923 = 11;\n\nNow we have finished this problem. ANSWER:\nV903120\n", "role": "assistant" } ]

[ "V433349" ]

[ { "content": "<context>\nassign V793571 = V744350 + 1. assign V729039 = V375131 + 1. assign V737605 = V744350 + 1. assign V844417 = V661985 + 1. assign V347512 = V397072 - 1. assign V285768 = V307344 - 1. assign V599503 = V988915. assign V458600 = V067301 - 1. assign V698441 = V429226 - 1. assign V388995 = V123259 + 1. assign V917367 = V807839 - 1. assign V453693 = V858301. assign V297549 = V909831 - 1. assign V846920 = V988915. assign V755805 = V388995 - 1. assign V806093 = V482609. assign V429226 = V744350. assign V057373 = V744350. assign V409574 = V909831 - 1. assign V989858 = V446985 + 1. assign V596692 = V228178. assign V906817 = V429226 + 1. assign V984920 = V067301. assign V375131 = V057373 - 1. assign V349745 = V230584 - 1. assign V283132 = V067301 - 1. assign V144325 = V508798 + 1. assign V574134 = V288068. assign V288068 = V858301 - 1. assign V307344 = V230584 + 1. assign V858301 = V482609 - 1. assign V163833 = V463307 + 1. assign V971342 = V596692 + 1. assign V228734 = V806093 + 1. assign V958759 = V375131 + 1. assign V661985 = V869585. assign V761937 = V755805 + 1. assign V909831 = V463307 - 1. assign V492052 = V599503 - 1. assign V744350 = V123259. assign V824503 = V698441 - 1. assign V148205 = V123259 + 1. assign V489242 = V793571 + 1. assign V772675 = V123259 - 1. assign V145442 = V744350 - 1. assign V549742 = V307344 + 1. assign V143284 = V869585 + 1. assign V350732 = V508798 - 1. assign V397072 = V744350. assign V511857 = V163833 + 1. assign V406470 = V429226 + 1. assign V310841 = V388995 - 1. assign V977509 = V776228 - 1. assign V020000 = V463307 + 1. assign V988915 = V310841 + 1. assign V807839 = V406470 - 1. assign V463307 = V123259 + 1. assign V446675 = V310841 - 1. assign V284284 = V744350. assign V482609 = V772675 - 1. assign V115969 = V159852. assign V503829 = V409574 - 1. assign V831628 = V661985 + 1. assign V283676 = V433349 - 1. assign V794279 = V397072 - 1. assign V446985 = V599503 - 1. assign V160975 = V397072 - 1. assign V230584 = V463307. assign V896559 = V349745 - 1. assign V869585 = V909831. assign V067301 = V406470. assign V637570 = V310841 - 1. assign V159852 = V446675. assign V760435 = V744350 - 1. assign V776228 = V350732. assign V508798 = V737605 + 1. assign V618840 = V806093 - 1. assign V443899 = V729039. assign V536361 = V443899 + 1. assign V786132 = V375131 + 1. assign V228178 = V463307 + 1. assign V639303 = V869585 + 1. assign V612365 = V618840 + 1. assign V705611 = V388995 - 1. assign V433349 = 1. assign V520571 = V148205 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V793571 = V744350 + 1. assign V729039 = V375131 + 1. assign V737605 = V744350 + 1. assign V844417 = V661985 + 1. assign V347512 = V397072 - 1. assign V285768 = V307344 - 1. assign V599503 = V988915. assign V458600 = V067301 - 1. assign V698441 = V429226 - 1. assign V388995 = V123259 + 1. assign V917367 = V807839 - 1. assign V453693 = V858301. assign V297549 = V909831 - 1. assign V846920 = V988915. assign V755805 = V388995 - 1. assign V806093 = V482609. assign V429226 = V744350. assign V057373 = V744350. assign V409574 = V909831 - 1. assign V989858 = V446985 + 1. assign V596692 = V228178. assign V906817 = V429226 + 1. assign V984920 = V067301. assign V375131 = V057373 - 1. assign V349745 = V230584 - 1. assign V283132 = V067301 - 1. assign V144325 = V508798 + 1. assign V574134 = V288068. assign V288068 = V858301 - 1. assign V307344 = V230584 + 1. assign V858301 = V482609 - 1. assign V163833 = V463307 + 1. assign V971342 = V596692 + 1. assign V228734 = V806093 + 1. assign V958759 = V375131 + 1. assign V661985 = V869585. assign V761937 = V755805 + 1. assign V909831 = V463307 - 1. assign V492052 = V599503 - 1. assign V744350 = V123259. assign V824503 = V698441 - 1. assign V148205 = V123259 + 1. assign V489242 = V793571 + 1. assign V772675 = V123259 - 1. assign V145442 = V744350 - 1. assign V549742 = V307344 + 1. assign V143284 = V869585 + 1. assign V350732 = V508798 - 1. assign V397072 = V744350. assign V511857 = V163833 + 1. assign V406470 = V429226 + 1. assign V310841 = V388995 - 1. assign V977509 = V776228 - 1. assign V020000 = V463307 + 1. assign V988915 = V310841 + 1. assign V807839 = V406470 - 1. assign V463307 = V123259 + 1. assign V446675 = V310841 - 1. assign V284284 = V744350. assign V482609 = V772675 - 1. assign V115969 = V159852. assign V503829 = V409574 - 1. assign V831628 = V661985 + 1. assign V283676 = V433349 - 1. assign V794279 = V397072 - 1. assign V446985 = V599503 - 1. assign V160975 = V397072 - 1. assign V230584 = V463307. assign V896559 = V349745 - 1. assign V869585 = V909831. assign V067301 = V406470. assign V637570 = V310841 - 1. assign V159852 = V446675. assign V760435 = V744350 - 1. assign V776228 = V350732. assign V508798 = V737605 + 1. assign V618840 = V806093 - 1. assign V443899 = V729039. assign V536361 = V443899 + 1. assign V786132 = V375131 + 1. assign V228178 = V463307 + 1. assign V639303 = V869585 + 1. assign V612365 = V618840 + 1. assign V705611 = V388995 - 1. assign V433349 = 1. assign V520571 = V148205 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV433349 = 1;\n\nFrom these direct assignment(s), we have: \nV283676 = V433349 - 1 = 1 - 1 =0;\nNo other variables can be derived from V283676;\nNo other variables can be derived from V433349;\n\nNow we have done all the calculations. Derived variables are:\nV433349 = 1;\nV283676 = 0;\n\nNow we have finished this problem. ANSWER:\nV433349\n", "role": "assistant" } ]

[ "V199359", "V162440" ]

[ { "content": "<context>\nassign V126016 = V175192 + 1. assign V561643 = V885588 - 1. assign V528692 = V325086 - 1. assign V235545 = V289635 - 1. assign V052120 = V848007. assign V928303 = V243614. assign V937276 = V473493. assign V293577 = V442174 + 1. assign V247564 = V937276 + 1. assign V550816 = V805179 + 1. assign V761982 = V995117 - 1. assign V649115 = V235545 - 1. assign V766986 = V368127 + 1. assign V940464 = V466341. assign V885588 = V289635 - 1. assign V325517 = V289635 + 1. assign V265120 = V325086. assign V893901 = V459149. assign V237316 = V349788. assign V836651 = V473493 + 1. assign V902767 = V892299 - 1. assign V217554 = V805179 + 1. assign V325086 = V892299 - 1. assign V340193 = V885588. assign V189749 = V340193 - 1. assign V175192 = V885588 - 1. assign V585047 = V349788. assign V892299 = V885588 + 1. assign V709566 = V246467. assign V195872 = V217554. assign V368127 = V459149 + 1. assign V925079 = V289635 + 1. assign V787470 = V858690. assign V473493 = V459149 - 1. assign V367558 = V585047. assign V880591 = V217554 - 1. assign V641344 = V368127 + 1. assign V434714 = V265120 - 1. assign V162440 = V199359. assign V199768 = V653863. assign V568358 = V147873. assign V186136 = V235545 + 1. assign V494306 = V323089. assign V459193 = V473493. assign V126586 = V184517 + 1. assign V531639 = V649115 - 1. assign V881284 = V459149 + 1. assign V971586 = V323089 + 1. assign V496204 = V787470 - 1. assign V363412 = V995117. assign V736118 = V568358 - 1. assign V246467 = V466341 + 1. assign V196781 = V856392. assign V442174 = V235545. assign V466341 = V235545 - 1. assign V184517 = V265120 + 1. assign V858690 = V989391 + 1. assign V522616 = V199768 + 1. assign V323089 = V235545 + 1. assign V243614 = V494306. assign V805179 = V323089 + 1. assign V468087 = V246467. assign V793004 = V323089 + 1. assign V743076 = V289635 + 1. assign V142247 = V325086 - 1. assign V989391 = V147873 - 1. assign V856392 = V885588. assign V575006 = V243614 + 1. assign V320652 = V902767 - 1. assign V633922 = V348370. assign V804875 = V466341. assign V459149 = V323089. assign V354103 = V019202 - 1. assign V349788 = V186136 - 1. assign V653863 = V858690. assign V655251 = V325517 + 1. assign V848007 = V126586 + 1. assign V199359 = 4. assign V019202 = V184517 + 1. assign V289635 = V147873. assign V726595 = V186136 - 1. assign V117776 = V196781. assign V064353 = V989391 - 1. assign V995117 = V196781 - 1. assign V306384 = V289635 + 1. assign V348370 = V885588 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V126016 = V175192 + 1. assign V561643 = V885588 - 1. assign V528692 = V325086 - 1. assign V235545 = V289635 - 1. assign V052120 = V848007. assign V928303 = V243614. assign V937276 = V473493. assign V293577 = V442174 + 1. assign V247564 = V937276 + 1. assign V550816 = V805179 + 1. assign V761982 = V995117 - 1. assign V649115 = V235545 - 1. assign V766986 = V368127 + 1. assign V940464 = V466341. assign V885588 = V289635 - 1. assign V325517 = V289635 + 1. assign V265120 = V325086. assign V893901 = V459149. assign V237316 = V349788. assign V836651 = V473493 + 1. assign V902767 = V892299 - 1. assign V217554 = V805179 + 1. assign V325086 = V892299 - 1. assign V340193 = V885588. assign V189749 = V340193 - 1. assign V175192 = V885588 - 1. assign V585047 = V349788. assign V892299 = V885588 + 1. assign V709566 = V246467. assign V195872 = V217554. assign V368127 = V459149 + 1. assign V925079 = V289635 + 1. assign V787470 = V858690. assign V473493 = V459149 - 1. assign V367558 = V585047. assign V880591 = V217554 - 1. assign V641344 = V368127 + 1. assign V434714 = V265120 - 1. assign V162440 = V199359. assign V199768 = V653863. assign V568358 = V147873. assign V186136 = V235545 + 1. assign V494306 = V323089. assign V459193 = V473493. assign V126586 = V184517 + 1. assign V531639 = V649115 - 1. assign V881284 = V459149 + 1. assign V971586 = V323089 + 1. assign V496204 = V787470 - 1. assign V363412 = V995117. assign V736118 = V568358 - 1. assign V246467 = V466341 + 1. assign V196781 = V856392. assign V442174 = V235545. assign V466341 = V235545 - 1. assign V184517 = V265120 + 1. assign V858690 = V989391 + 1. assign V522616 = V199768 + 1. assign V323089 = V235545 + 1. assign V243614 = V494306. assign V805179 = V323089 + 1. assign V468087 = V246467. assign V793004 = V323089 + 1. assign V743076 = V289635 + 1. assign V142247 = V325086 - 1. assign V989391 = V147873 - 1. assign V856392 = V885588. assign V575006 = V243614 + 1. assign V320652 = V902767 - 1. assign V633922 = V348370. assign V804875 = V466341. assign V459149 = V323089. assign V354103 = V019202 - 1. assign V349788 = V186136 - 1. assign V653863 = V858690. assign V655251 = V325517 + 1. assign V848007 = V126586 + 1. assign V199359 = 4. assign V019202 = V184517 + 1. assign V289635 = V147873. assign V726595 = V186136 - 1. assign V117776 = V196781. assign V064353 = V989391 - 1. assign V995117 = V196781 - 1. assign V306384 = V289635 + 1. assign V348370 = V885588 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV199359 = 4;\n\nFrom these direct assignment(s), we have: \nV162440 = V199359 = 4;\nNo other variables can be derived from V162440;\nNo other variables can be derived from V199359;\n\nNow we have done all the calculations. Derived variables are:\nV199359 = 4;\nV162440 = 4;\n\nNow we have finished this problem. ANSWER:\nV199359, V162440\n", "role": "assistant" } ]

[ "V678018" ]

[ { "content": "<context>\nassign V467465 = V401725 + 1. assign V150572 = V005412 - 1. assign V673049 = V788991 + 1. assign V958126 = V181987. assign V855926 = V031784 - 1. assign V188696 = V920705. assign V457028 = V134845 + 1. assign V763261 = V109955 - 1. assign V270573 = V909821 + 1. assign V400258 = V667223 + 1. assign V037459 = V827690 + 1. assign V681197 = V517250 - 1. assign V436443 = V827690. assign V245988 = V667223 - 1. assign V057058 = V053771 - 1. assign V714376 = V554544. assign V246164 = V037459 - 1. assign V705776 = V772927 + 1. assign V596187 = V443099 + 1. assign V257325 = 8. assign V788991 = V475803 - 1. assign V772927 = V967133 + 1. assign V884193 = V763261. assign V961605 = V790429 + 1. assign V599947 = V788991 - 1. assign V368963 = V674168 + 1. assign V909821 = V674168. assign V404584 = V961605. assign V186926 = V596187 - 1. assign V943815 = V422215 - 1. assign V127658 = V245988 - 1. assign V667223 = V517250 - 1. assign V027638 = V790429. assign V475803 = V860810 - 1. assign V674940 = V134845 + 1. assign V860810 = V387219 - 1. assign V678018 = V257325 + 1. assign V041752 = V884193 - 1. assign V558026 = V188696 + 1. assign V241379 = V513364 + 1. assign V880194 = V575476. assign V827690 = V967133 + 1. assign V612841 = V763261. assign V053771 = V533264 - 1. assign V960659 = V827690 + 1. assign V920705 = V967133 - 1. assign V517250 = V674168 + 1. assign V449356 = V788991 + 1. assign V228080 = V467465 - 1. assign V967133 = V674168. assign V554544 = V967133. assign V513364 = V554544 + 1. assign V790429 = V188696 + 1. assign V422215 = V679374. assign V098882 = V143084. assign V768949 = V517250. assign V013984 = V667223 - 1. assign V933724 = V772927 - 1. assign V982856 = V860810. assign V235230 = V860810. assign V575476 = V714376 + 1. assign V394803 = V763261. assign V016655 = V449356 - 1. assign V679374 = V241379. assign V005412 = V681197 + 1. assign V143084 = V053771. assign V542701 = V598332 + 1. assign V031784 = V517250 + 1. assign V443099 = V517250. assign V134845 = V270573. assign V181987 = V960659 + 1. assign V598432 = V967133 - 1. assign V387219 = V401725 - 1. assign V982990 = V513364 + 1. assign V238552 = V575476 + 1. assign V459780 = V667223 - 1. assign V602028 = V368963. assign V109955 = V554544 + 1. assign V533264 = V920705. assign V598332 = V827690. assign V012407 = V517250 + 1. assign V003083 = V681197. assign V635378 = V188696 - 1. assign V355587 = V884193. assign V401725 = V674168. assign V847938 = V027638 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V467465 = V401725 + 1. assign V150572 = V005412 - 1. assign V673049 = V788991 + 1. assign V958126 = V181987. assign V855926 = V031784 - 1. assign V188696 = V920705. assign V457028 = V134845 + 1. assign V763261 = V109955 - 1. assign V270573 = V909821 + 1. assign V400258 = V667223 + 1. assign V037459 = V827690 + 1. assign V681197 = V517250 - 1. assign V436443 = V827690. assign V245988 = V667223 - 1. assign V057058 = V053771 - 1. assign V714376 = V554544. assign V246164 = V037459 - 1. assign V705776 = V772927 + 1. assign V596187 = V443099 + 1. assign V257325 = 8. assign V788991 = V475803 - 1. assign V772927 = V967133 + 1. assign V884193 = V763261. assign V961605 = V790429 + 1. assign V599947 = V788991 - 1. assign V368963 = V674168 + 1. assign V909821 = V674168. assign V404584 = V961605. assign V186926 = V596187 - 1. assign V943815 = V422215 - 1. assign V127658 = V245988 - 1. assign V667223 = V517250 - 1. assign V027638 = V790429. assign V475803 = V860810 - 1. assign V674940 = V134845 + 1. assign V860810 = V387219 - 1. assign V678018 = V257325 + 1. assign V041752 = V884193 - 1. assign V558026 = V188696 + 1. assign V241379 = V513364 + 1. assign V880194 = V575476. assign V827690 = V967133 + 1. assign V612841 = V763261. assign V053771 = V533264 - 1. assign V960659 = V827690 + 1. assign V920705 = V967133 - 1. assign V517250 = V674168 + 1. assign V449356 = V788991 + 1. assign V228080 = V467465 - 1. assign V967133 = V674168. assign V554544 = V967133. assign V513364 = V554544 + 1. assign V790429 = V188696 + 1. assign V422215 = V679374. assign V098882 = V143084. assign V768949 = V517250. assign V013984 = V667223 - 1. assign V933724 = V772927 - 1. assign V982856 = V860810. assign V235230 = V860810. assign V575476 = V714376 + 1. assign V394803 = V763261. assign V016655 = V449356 - 1. assign V679374 = V241379. assign V005412 = V681197 + 1. assign V143084 = V053771. assign V542701 = V598332 + 1. assign V031784 = V517250 + 1. assign V443099 = V517250. assign V134845 = V270573. assign V181987 = V960659 + 1. assign V598432 = V967133 - 1. assign V387219 = V401725 - 1. assign V982990 = V513364 + 1. assign V238552 = V575476 + 1. assign V459780 = V667223 - 1. assign V602028 = V368963. assign V109955 = V554544 + 1. assign V533264 = V920705. assign V598332 = V827690. assign V012407 = V517250 + 1. assign V003083 = V681197. assign V635378 = V188696 - 1. assign V355587 = V884193. assign V401725 = V674168. assign V847938 = V027638 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV257325 = 8;\n\nFrom these direct assignment(s), we have: \nV678018 = V257325 + 1 = 8 + 1 =9;\nNo other variables can be derived from V678018;\nNo other variables can be derived from V257325;\n\nNow we have done all the calculations. Derived variables are:\nV257325 = 8;\nV678018 = 9;\n\nNow we have finished this problem. ANSWER:\nV678018\n", "role": "assistant" } ]

[ "V614800" ]

[ { "content": "<context>\nassign V992263 = V879324. assign V056043 = V507895 + 1. assign V099045 = V375631. assign V489347 = V090513 + 1. assign V092596 = V414363. assign V530655 = V563576. assign V584670 = V454082 - 1. assign V936877 = V188080 - 1. assign V408246 = V099045 + 1. assign V339196 = V959314. assign V207527 = V099045 + 1. assign V659331 = V414363 - 1. assign V040372 = V563576. assign V454082 = V375631 + 1. assign V239216 = V275757 - 1. assign V941535 = V614800 - 1. assign V148466 = V232917 + 1. assign V174037 = V630147 - 1. assign V322245 = V232917. assign V194922 = V936877 + 1. assign V652090 = V194922 + 1. assign V185355 = V414363 + 1. assign V344176 = V530655. assign V188080 = V414363. assign V409858 = V467757. assign V305955 = V936877. assign V590872 = V035834. assign V124608 = V174037. assign V478288 = V563576 + 1. assign V180474 = V659331. assign V267596 = V188080 - 1. assign V329286 = V188080. assign V295458 = V305955 + 1. assign V090513 = V630147. assign V082194 = V254859 + 1. assign V879324 = V237152. assign V673305 = V249700. assign V293131 = V099045 + 1. assign V078581 = V254859 + 1. assign V412522 = V563576. assign V003369 = V260915. assign V605580 = V507895. assign V765188 = V169908 + 1. assign V105262 = V099045 + 1. assign V169908 = V530655. assign V260915 = V762685 + 1. assign V177864 = V185355. assign V960769 = V124183 + 1. assign V670011 = V252682 + 1. assign V232917 = V174037. assign V056152 = V595137. assign V941183 = V003369 - 1. assign V254859 = V148466 - 1. assign V630147 = V414363. assign V595137 = V478288 - 1. assign V237152 = V530655 - 1. assign V401221 = V329286. assign V275757 = V174037 - 1. assign V441427 = V659331. assign V521030 = V252682 + 1. assign V636453 = V936877 - 1. assign V681863 = V659331 - 1. assign V018833 = V454082 - 1. assign V563576 = V174037 + 1. assign V769679 = V185355 + 1. assign V946589 = V681863 + 1. assign V375631 = V414363. assign V294901 = V769679 - 1. assign V691861 = V375631. assign V318371 = V630147 - 1. assign V035834 = V174037. assign V124183 = V318371 + 1. assign V744070 = V124608 - 1. assign V078778 = V329286. assign V959314 = V148466. assign V467757 = V185355 + 1. assign V762685 = V293131 - 1. assign V015514 = V078581. assign V614800 = 8. assign V405325 = V105262 + 1. assign V774268 = V507895. assign V718007 = V237152 + 1. assign V252682 = V260915 - 1. assign V507895 = V936877 + 1. assign V249700 = V082194 + 1. assign V758718 = V124608 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V992263 = V879324. assign V056043 = V507895 + 1. assign V099045 = V375631. assign V489347 = V090513 + 1. assign V092596 = V414363. assign V530655 = V563576. assign V584670 = V454082 - 1. assign V936877 = V188080 - 1. assign V408246 = V099045 + 1. assign V339196 = V959314. assign V207527 = V099045 + 1. assign V659331 = V414363 - 1. assign V040372 = V563576. assign V454082 = V375631 + 1. assign V239216 = V275757 - 1. assign V941535 = V614800 - 1. assign V148466 = V232917 + 1. assign V174037 = V630147 - 1. assign V322245 = V232917. assign V194922 = V936877 + 1. assign V652090 = V194922 + 1. assign V185355 = V414363 + 1. assign V344176 = V530655. assign V188080 = V414363. assign V409858 = V467757. assign V305955 = V936877. assign V590872 = V035834. assign V124608 = V174037. assign V478288 = V563576 + 1. assign V180474 = V659331. assign V267596 = V188080 - 1. assign V329286 = V188080. assign V295458 = V305955 + 1. assign V090513 = V630147. assign V082194 = V254859 + 1. assign V879324 = V237152. assign V673305 = V249700. assign V293131 = V099045 + 1. assign V078581 = V254859 + 1. assign V412522 = V563576. assign V003369 = V260915. assign V605580 = V507895. assign V765188 = V169908 + 1. assign V105262 = V099045 + 1. assign V169908 = V530655. assign V260915 = V762685 + 1. assign V177864 = V185355. assign V960769 = V124183 + 1. assign V670011 = V252682 + 1. assign V232917 = V174037. assign V056152 = V595137. assign V941183 = V003369 - 1. assign V254859 = V148466 - 1. assign V630147 = V414363. assign V595137 = V478288 - 1. assign V237152 = V530655 - 1. assign V401221 = V329286. assign V275757 = V174037 - 1. assign V441427 = V659331. assign V521030 = V252682 + 1. assign V636453 = V936877 - 1. assign V681863 = V659331 - 1. assign V018833 = V454082 - 1. assign V563576 = V174037 + 1. assign V769679 = V185355 + 1. assign V946589 = V681863 + 1. assign V375631 = V414363. assign V294901 = V769679 - 1. assign V691861 = V375631. assign V318371 = V630147 - 1. assign V035834 = V174037. assign V124183 = V318371 + 1. assign V744070 = V124608 - 1. assign V078778 = V329286. assign V959314 = V148466. assign V467757 = V185355 + 1. assign V762685 = V293131 - 1. assign V015514 = V078581. assign V614800 = 8. assign V405325 = V105262 + 1. assign V774268 = V507895. assign V718007 = V237152 + 1. assign V252682 = V260915 - 1. assign V507895 = V936877 + 1. assign V249700 = V082194 + 1. assign V758718 = V124608 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV614800 = 8;\n\nFrom these direct assignment(s), we have: \nV941535 = V614800 - 1 = 8 - 1 =7;\nNo other variables can be derived from V941535;\nNo other variables can be derived from V614800;\n\nNow we have done all the calculations. Derived variables are:\nV614800 = 8;\nV941535 = 7;\n\nNow we have finished this problem. ANSWER:\nV614800\n", "role": "assistant" } ]

[ "V348539" ]

[ { "content": "<context>\nassign V481781 = V852963 - 1. assign V796413 = V490394. assign V120773 = V441172 + 1. assign V023087 = V609048 + 1. assign V089939 = V490394. assign V180616 = V342189. assign V227684 = V686359. assign V505956 = V796413. assign V014187 = V342189 - 1. assign V263155 = V490394 - 1. assign V889438 = V536970. assign V069413 = V488482 - 1. assign V198304 = V244707 + 1. assign V199532 = V244707 - 1. assign V037165 = 3. assign V398877 = V490394 - 1. assign V133287 = V488482. assign V708126 = V390009 + 1. assign V244707 = V441172 + 1. assign V541973 = V925082 - 1. assign V488482 = V494877 - 1. assign V176630 = V488482 + 1. assign V398349 = V788743 + 1. assign V643822 = V014187 - 1. assign V833920 = V414436 + 1. assign V199525 = V263155 - 1. assign V411880 = V859284 - 1. assign V540893 = V686359. assign V910922 = V824017 - 1. assign V342189 = V494877 - 1. assign V704710 = V130252 - 1. assign V490394 = V342189 + 1. assign V435316 = V176630. assign V263828 = V609048 + 1. assign V712608 = V540893 - 1. assign V951600 = V391779. assign V875569 = V130252 + 1. assign V092704 = V342189. assign V386936 = V609048 - 1. assign V800051 = V441172 - 1. assign V340468 = V263155. assign V373622 = V889438. assign V859284 = V180616 + 1. assign V119604 = V435316 + 1. assign V950149 = V377392 + 1. assign V390376 = V490394 - 1. assign V542464 = V788743 + 1. assign V373474 = V925082 + 1. assign V394924 = V340468. assign V730812 = V540893. assign V756297 = V227684 - 1. assign V788743 = V494877. assign V301036 = V283925 - 1. assign V684837 = V398877 + 1. assign V707264 = V889438 - 1. assign V359866 = V800051 - 1. assign V599379 = V730812 - 1. assign V414436 = V494877 - 1. assign V261289 = V925082 - 1. assign V377392 = V494877 + 1. assign V759882 = V494877 - 1. assign V391779 = V377392. assign V929119 = V386936 - 1. assign V441172 = V925082 - 1. assign V536970 = V490394. assign V283925 = V089939 - 1. assign V852963 = V488482. assign V967564 = V414436 - 1. assign V348539 = V037165 + 1. assign V275704 = V414436 - 1. assign V175799 = V768891. assign V824017 = V796413 + 1. assign V005834 = V261289 + 1. assign V686359 = V494877 + 1. assign V049850 = V967564. assign V130252 = V283925 - 1. assign V979294 = V130252 - 1. assign V609048 = V130252 + 1. assign V291998 = V283925 + 1. assign V390009 = V263828 + 1. assign V925082 = V494877. assign V637266 = V490394. assign V768891 = V342189 - 1. assign V002372 = V130252 - 1. assign V275451 = V759882. assign V126647 = V373474 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V481781 = V852963 - 1. assign V796413 = V490394. assign V120773 = V441172 + 1. assign V023087 = V609048 + 1. assign V089939 = V490394. assign V180616 = V342189. assign V227684 = V686359. assign V505956 = V796413. assign V014187 = V342189 - 1. assign V263155 = V490394 - 1. assign V889438 = V536970. assign V069413 = V488482 - 1. assign V198304 = V244707 + 1. assign V199532 = V244707 - 1. assign V037165 = 3. assign V398877 = V490394 - 1. assign V133287 = V488482. assign V708126 = V390009 + 1. assign V244707 = V441172 + 1. assign V541973 = V925082 - 1. assign V488482 = V494877 - 1. assign V176630 = V488482 + 1. assign V398349 = V788743 + 1. assign V643822 = V014187 - 1. assign V833920 = V414436 + 1. assign V199525 = V263155 - 1. assign V411880 = V859284 - 1. assign V540893 = V686359. assign V910922 = V824017 - 1. assign V342189 = V494877 - 1. assign V704710 = V130252 - 1. assign V490394 = V342189 + 1. assign V435316 = V176630. assign V263828 = V609048 + 1. assign V712608 = V540893 - 1. assign V951600 = V391779. assign V875569 = V130252 + 1. assign V092704 = V342189. assign V386936 = V609048 - 1. assign V800051 = V441172 - 1. assign V340468 = V263155. assign V373622 = V889438. assign V859284 = V180616 + 1. assign V119604 = V435316 + 1. assign V950149 = V377392 + 1. assign V390376 = V490394 - 1. assign V542464 = V788743 + 1. assign V373474 = V925082 + 1. assign V394924 = V340468. assign V730812 = V540893. assign V756297 = V227684 - 1. assign V788743 = V494877. assign V301036 = V283925 - 1. assign V684837 = V398877 + 1. assign V707264 = V889438 - 1. assign V359866 = V800051 - 1. assign V599379 = V730812 - 1. assign V414436 = V494877 - 1. assign V261289 = V925082 - 1. assign V377392 = V494877 + 1. assign V759882 = V494877 - 1. assign V391779 = V377392. assign V929119 = V386936 - 1. assign V441172 = V925082 - 1. assign V536970 = V490394. assign V283925 = V089939 - 1. assign V852963 = V488482. assign V967564 = V414436 - 1. assign V348539 = V037165 + 1. assign V275704 = V414436 - 1. assign V175799 = V768891. assign V824017 = V796413 + 1. assign V005834 = V261289 + 1. assign V686359 = V494877 + 1. assign V049850 = V967564. assign V130252 = V283925 - 1. assign V979294 = V130252 - 1. assign V609048 = V130252 + 1. assign V291998 = V283925 + 1. assign V390009 = V263828 + 1. assign V925082 = V494877. assign V637266 = V490394. assign V768891 = V342189 - 1. assign V002372 = V130252 - 1. assign V275451 = V759882. assign V126647 = V373474 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV037165 = 3;\n\nFrom these direct assignment(s), we have: \nV348539 = V037165 + 1 = 3 + 1 =4;\nNo other variables can be derived from V348539;\nNo other variables can be derived from V037165;\n\nNow we have done all the calculations. Derived variables are:\nV037165 = 3;\nV348539 = 4;\n\nNow we have finished this problem. ANSWER:\nV348539\n", "role": "assistant" } ]

[ "V295696" ]

[ { "content": "<context>\nassign V554073 = V716882 - 1. assign V340234 = V554073 - 1. assign V132807 = V340234 + 1. assign V667927 = V538528 - 1. assign V746392 = V140690. assign V617622 = V646006 + 1. assign V926855 = V574285 - 1. assign V838277 = V295696 - 1. assign V729243 = V056894. assign V648316 = V055136 - 1. assign V263658 = V246526 - 1. assign V652353 = V648316 + 1. assign V151942 = V423115. assign V256963 = V646006. assign V542745 = V874913 + 1. assign V719738 = V114198 - 1. assign V425783 = V335341. assign V567293 = V754475. assign V556301 = V340234 - 1. assign V646006 = V335341 + 1. assign V185607 = V337302 - 1. assign V295696 = 10. assign V375006 = V719738 - 1. assign V484481 = V465581 + 1. assign V362177 = V562284 + 1. assign V774159 = V425962 - 1. assign V114198 = V337302 - 1. assign V058896 = V267783 - 1. assign V246526 = V847529 + 1. assign V259160 = V646006. assign V172529 = V554073 + 1. assign V639370 = V256963. assign V674268 = V563273 - 1. assign V069514 = V716882. assign V092518 = V648316 - 1. assign V446458 = V122843. assign V128075 = V648316 - 1. assign V478416 = V892057. assign V562284 = V928171 - 1. assign V239265 = V288230 - 1. assign V423115 = V928171 - 1. assign V335341 = V055136. assign V247328 = V663987 + 1. assign V716882 = V595130. assign V425962 = V736016. assign V337302 = V928171 + 1. assign V603722 = V829836. assign V754475 = V425783 - 1. assign V855203 = V603722 + 1. assign V538528 = V115899. assign V847529 = V340234 - 1. assign V702274 = V563273 - 1. assign V122843 = V151942. assign V056894 = V115899 - 1. assign V309348 = V470594 + 1. assign V470594 = V716882 - 1. assign V663987 = V267783 + 1. assign V829836 = V595130. assign V823776 = V639370 - 1. assign V736016 = V073978 - 1. assign V288230 = V423115 - 1. assign V115899 = V874913 - 1. assign V032184 = V562284 - 1. assign V874913 = V423115. assign V218894 = V288230 + 1. assign V052219 = V719738 + 1. assign V574285 = V246526. assign V945108 = V633324 - 1. assign V295679 = V617622 + 1. assign V140690 = V114198 + 1. assign V055136 = V423115 + 1. assign V928171 = V716882 - 1. assign V209639 = V340234 - 1. assign V117903 = V874913. assign V633324 = V073978. assign V236454 = V140690 - 1. assign V521878 = V617622 - 1. assign V333406 = V652353. assign V563273 = V056894 + 1. assign V267783 = V470594 - 1. assign V073978 = V562284 + 1. assign V530851 = V719738. assign V892057 = V052219 + 1. assign V465581 = V829836 - 1. assign V645099 = V563273. assign V498183 = V333406 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V554073 = V716882 - 1. assign V340234 = V554073 - 1. assign V132807 = V340234 + 1. assign V667927 = V538528 - 1. assign V746392 = V140690. assign V617622 = V646006 + 1. assign V926855 = V574285 - 1. assign V838277 = V295696 - 1. assign V729243 = V056894. assign V648316 = V055136 - 1. assign V263658 = V246526 - 1. assign V652353 = V648316 + 1. assign V151942 = V423115. assign V256963 = V646006. assign V542745 = V874913 + 1. assign V719738 = V114198 - 1. assign V425783 = V335341. assign V567293 = V754475. assign V556301 = V340234 - 1. assign V646006 = V335341 + 1. assign V185607 = V337302 - 1. assign V295696 = 10. assign V375006 = V719738 - 1. assign V484481 = V465581 + 1. assign V362177 = V562284 + 1. assign V774159 = V425962 - 1. assign V114198 = V337302 - 1. assign V058896 = V267783 - 1. assign V246526 = V847529 + 1. assign V259160 = V646006. assign V172529 = V554073 + 1. assign V639370 = V256963. assign V674268 = V563273 - 1. assign V069514 = V716882. assign V092518 = V648316 - 1. assign V446458 = V122843. assign V128075 = V648316 - 1. assign V478416 = V892057. assign V562284 = V928171 - 1. assign V239265 = V288230 - 1. assign V423115 = V928171 - 1. assign V335341 = V055136. assign V247328 = V663987 + 1. assign V716882 = V595130. assign V425962 = V736016. assign V337302 = V928171 + 1. assign V603722 = V829836. assign V754475 = V425783 - 1. assign V855203 = V603722 + 1. assign V538528 = V115899. assign V847529 = V340234 - 1. assign V702274 = V563273 - 1. assign V122843 = V151942. assign V056894 = V115899 - 1. assign V309348 = V470594 + 1. assign V470594 = V716882 - 1. assign V663987 = V267783 + 1. assign V829836 = V595130. assign V823776 = V639370 - 1. assign V736016 = V073978 - 1. assign V288230 = V423115 - 1. assign V115899 = V874913 - 1. assign V032184 = V562284 - 1. assign V874913 = V423115. assign V218894 = V288230 + 1. assign V052219 = V719738 + 1. assign V574285 = V246526. assign V945108 = V633324 - 1. assign V295679 = V617622 + 1. assign V140690 = V114198 + 1. assign V055136 = V423115 + 1. assign V928171 = V716882 - 1. assign V209639 = V340234 - 1. assign V117903 = V874913. assign V633324 = V073978. assign V236454 = V140690 - 1. assign V521878 = V617622 - 1. assign V333406 = V652353. assign V563273 = V056894 + 1. assign V267783 = V470594 - 1. assign V073978 = V562284 + 1. assign V530851 = V719738. assign V892057 = V052219 + 1. assign V465581 = V829836 - 1. assign V645099 = V563273. assign V498183 = V333406 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV295696 = 10;\n\nFrom these direct assignment(s), we have: \nV838277 = V295696 - 1 = 10 - 1 =9;\nNo other variables can be derived from V838277;\nNo other variables can be derived from V295696;\n\nNow we have done all the calculations. Derived variables are:\nV295696 = 10;\nV838277 = 9;\n\nNow we have finished this problem. ANSWER:\nV295696\n", "role": "assistant" } ]

[ "V552918", "V181659" ]

[ { "content": "<context>\nassign V976940 = V156106 - 1. assign V244451 = V217420 - 1. assign V822787 = V084431 - 1. assign V799891 = V287162. assign V304042 = V345181. assign V693287 = V084431 - 1. assign V946723 = V693287 + 1. assign V039591 = V986861 + 1. assign V056902 = V152001. assign V843913 = V861843. assign V958474 = V082823. assign V469309 = V147571 - 1. assign V234501 = V788713 + 1. assign V413844 = V234501 - 1. assign V936060 = V345181 - 1. assign V472796 = V921672 - 1. assign V613868 = V969017. assign V345181 = V147571 - 1. assign V509519 = V472796 + 1. assign V986861 = V609812 + 1. assign V892669 = V304042 - 1. assign V023976 = V788713. assign V854970 = V861843 - 1. assign V633554 = V366916 - 1. assign V878912 = V229550 + 1. assign V921672 = V687333. assign V351182 = V958474 + 1. assign V098817 = V633554 + 1. assign V423509 = V148332 + 1. assign V122959 = V586797 - 1. assign V229550 = V152001 - 1. assign V861843 = V216684 - 1. assign V620985 = V199922 - 1. assign V687333 = V819167. assign V366916 = V788713 + 1. assign V470792 = V673403 + 1. assign V503632 = V892669 + 1. assign V042538 = V216684 + 1. assign V148332 = V152001 + 1. assign V084431 = V609812 - 1. assign V082823 = V042538 + 1. assign V946654 = V042538 + 1. assign V135859 = V769467 + 1. assign V957621 = V819167 + 1. assign V002952 = V217420 - 1. assign V649131 = V609812 + 1. assign V969017 = V788713. assign V017277 = V304042 + 1. assign V552918 = 7. assign V467095 = V082823. assign V533165 = V023976. assign V152001 = V216684 + 1. assign V281511 = V609812 - 1. assign V877039 = V605490. assign V819167 = V526928. assign V609812 = V788713 - 1. assign V673403 = V769467. assign V536043 = V229550 - 1. assign V531180 = V946654 - 1. assign V981983 = V536043 - 1. assign V426279 = V304042. assign V587493 = V366916 - 1. assign V147571 = V877039 - 1. assign V743864 = V526928 + 1. assign V181659 = V552918. assign V425489 = V216684 - 1. assign V852312 = V413844 - 1. assign V030461 = V981983 + 1. assign V398660 = V135859. assign V216684 = V609812. assign V191190 = V673403 - 1. assign V605490 = V769467 - 1. assign V487049 = V164673. assign V217420 = V199922 + 1. assign V681861 = V769467 + 1. assign V526928 = V633554. assign V985652 = V042538 + 1. assign V156106 = V687333 + 1. assign V199922 = V366916 + 1. assign V586797 = V366916. assign V769467 = V693287. assign V190210 = V788713 + 1. assign V164673 = V056902 + 1. assign V287162 = V234501. assign V287779 = V164673 - 1. assign V500712 = V152001 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V976940 = V156106 - 1. assign V244451 = V217420 - 1. assign V822787 = V084431 - 1. assign V799891 = V287162. assign V304042 = V345181. assign V693287 = V084431 - 1. assign V946723 = V693287 + 1. assign V039591 = V986861 + 1. assign V056902 = V152001. assign V843913 = V861843. assign V958474 = V082823. assign V469309 = V147571 - 1. assign V234501 = V788713 + 1. assign V413844 = V234501 - 1. assign V936060 = V345181 - 1. assign V472796 = V921672 - 1. assign V613868 = V969017. assign V345181 = V147571 - 1. assign V509519 = V472796 + 1. assign V986861 = V609812 + 1. assign V892669 = V304042 - 1. assign V023976 = V788713. assign V854970 = V861843 - 1. assign V633554 = V366916 - 1. assign V878912 = V229550 + 1. assign V921672 = V687333. assign V351182 = V958474 + 1. assign V098817 = V633554 + 1. assign V423509 = V148332 + 1. assign V122959 = V586797 - 1. assign V229550 = V152001 - 1. assign V861843 = V216684 - 1. assign V620985 = V199922 - 1. assign V687333 = V819167. assign V366916 = V788713 + 1. assign V470792 = V673403 + 1. assign V503632 = V892669 + 1. assign V042538 = V216684 + 1. assign V148332 = V152001 + 1. assign V084431 = V609812 - 1. assign V082823 = V042538 + 1. assign V946654 = V042538 + 1. assign V135859 = V769467 + 1. assign V957621 = V819167 + 1. assign V002952 = V217420 - 1. assign V649131 = V609812 + 1. assign V969017 = V788713. assign V017277 = V304042 + 1. assign V552918 = 7. assign V467095 = V082823. assign V533165 = V023976. assign V152001 = V216684 + 1. assign V281511 = V609812 - 1. assign V877039 = V605490. assign V819167 = V526928. assign V609812 = V788713 - 1. assign V673403 = V769467. assign V536043 = V229550 - 1. assign V531180 = V946654 - 1. assign V981983 = V536043 - 1. assign V426279 = V304042. assign V587493 = V366916 - 1. assign V147571 = V877039 - 1. assign V743864 = V526928 + 1. assign V181659 = V552918. assign V425489 = V216684 - 1. assign V852312 = V413844 - 1. assign V030461 = V981983 + 1. assign V398660 = V135859. assign V216684 = V609812. assign V191190 = V673403 - 1. assign V605490 = V769467 - 1. assign V487049 = V164673. assign V217420 = V199922 + 1. assign V681861 = V769467 + 1. assign V526928 = V633554. assign V985652 = V042538 + 1. assign V156106 = V687333 + 1. assign V199922 = V366916 + 1. assign V586797 = V366916. assign V769467 = V693287. assign V190210 = V788713 + 1. assign V164673 = V056902 + 1. assign V287162 = V234501. assign V287779 = V164673 - 1. assign V500712 = V152001 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV552918 = 7;\n\nFrom these direct assignment(s), we have: \nV181659 = V552918 = 7;\nNo other variables can be derived from V181659;\nNo other variables can be derived from V552918;\n\nNow we have done all the calculations. Derived variables are:\nV552918 = 7;\nV181659 = 7;\n\nNow we have finished this problem. ANSWER:\nV552918, V181659\n", "role": "assistant" } ]

[ "V572186", "V618719" ]

[ { "content": "<context>\nassign V946929 = V237991. assign V519358 = V508113. assign V927508 = V469828. assign V911932 = V973110. assign V853492 = V013074. assign V775319 = V946929 + 1. assign V336194 = V013074 - 1. assign V987152 = V915343. assign V241925 = V519358. assign V683373 = V875719 + 1. assign V810266 = V508113. assign V032776 = V198335 - 1. assign V923384 = V043534 + 1. assign V466863 = V944307 + 1. assign V846506 = V904416 - 1. assign V912353 = V412006 - 1. assign V994033 = V322312 + 1. assign V067459 = V944307 - 1. assign V043534 = V979354 + 1. assign V508113 = V875719 + 1. assign V820036 = V001449 + 1. assign V516554 = V946929. assign V926014 = V279985. assign V013074 = V508113 - 1. assign V901335 = V013074 - 1. assign V064611 = V466863 - 1. assign V168598 = V336194 - 1. assign V909654 = V875477 - 1. assign V237991 = V875719 - 1. assign V583754 = V810266 + 1. assign V979354 = V237991 - 1. assign V875719 = V412006 + 1. assign V504857 = V074500 + 1. assign V253931 = V915343 - 1. assign V001449 = V776418 + 1. assign V619002 = V516554 + 1. assign V198335 = V237991 + 1. assign V299303 = V875719 + 1. assign V032666 = V944307. assign V289648 = V032666 - 1. assign V525041 = V693649 - 1. assign V043970 = V032776 + 1. assign V546489 = V412006. assign V123459 = V326894 + 1. assign V915343 = V466863 + 1. assign V706091 = V697926 - 1. assign V540944 = V770531 - 1. assign V256636 = V904416 + 1. assign V926258 = V420139 + 1. assign V543008 = V546489 - 1. assign V673102 = V504857 + 1. assign V769689 = V001449. assign V919398 = V466863 - 1. assign V538894 = V873241. assign V968484 = V096119 - 1. assign V420139 = V546489 + 1. assign V776418 = V168598 - 1. assign V716460 = V508113 - 1. assign V469828 = V583754. assign V944307 = V875719 - 1. assign V973110 = V546489 - 1. assign V511931 = V168598 + 1. assign V770531 = V904416. assign V085075 = V504857 + 1. assign V285661 = V032776 + 1. assign V904416 = V706091 - 1. assign V685723 = V946929 - 1. assign V873241 = V412006. assign V537617 = V685723 - 1. assign V053146 = V504857 - 1. assign V326894 = V915343. assign V279985 = V775319 - 1. assign V096119 = V875719. assign V697926 = V979354 + 1. assign V322312 = V001449. assign V156005 = V944307 + 1. assign V572186 = 9. assign V076406 = V013074 + 1. assign V808310 = V469828. assign V527436 = V583754 + 1. assign V693649 = V716460 - 1. assign V875477 = V716460 + 1. assign V618719 = V572186. assign V952736 = V776418 + 1. assign V074500 = V299303 + 1. assign V681666 = V013074 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V946929 = V237991. assign V519358 = V508113. assign V927508 = V469828. assign V911932 = V973110. assign V853492 = V013074. assign V775319 = V946929 + 1. assign V336194 = V013074 - 1. assign V987152 = V915343. assign V241925 = V519358. assign V683373 = V875719 + 1. assign V810266 = V508113. assign V032776 = V198335 - 1. assign V923384 = V043534 + 1. assign V466863 = V944307 + 1. assign V846506 = V904416 - 1. assign V912353 = V412006 - 1. assign V994033 = V322312 + 1. assign V067459 = V944307 - 1. assign V043534 = V979354 + 1. assign V508113 = V875719 + 1. assign V820036 = V001449 + 1. assign V516554 = V946929. assign V926014 = V279985. assign V013074 = V508113 - 1. assign V901335 = V013074 - 1. assign V064611 = V466863 - 1. assign V168598 = V336194 - 1. assign V909654 = V875477 - 1. assign V237991 = V875719 - 1. assign V583754 = V810266 + 1. assign V979354 = V237991 - 1. assign V875719 = V412006 + 1. assign V504857 = V074500 + 1. assign V253931 = V915343 - 1. assign V001449 = V776418 + 1. assign V619002 = V516554 + 1. assign V198335 = V237991 + 1. assign V299303 = V875719 + 1. assign V032666 = V944307. assign V289648 = V032666 - 1. assign V525041 = V693649 - 1. assign V043970 = V032776 + 1. assign V546489 = V412006. assign V123459 = V326894 + 1. assign V915343 = V466863 + 1. assign V706091 = V697926 - 1. assign V540944 = V770531 - 1. assign V256636 = V904416 + 1. assign V926258 = V420139 + 1. assign V543008 = V546489 - 1. assign V673102 = V504857 + 1. assign V769689 = V001449. assign V919398 = V466863 - 1. assign V538894 = V873241. assign V968484 = V096119 - 1. assign V420139 = V546489 + 1. assign V776418 = V168598 - 1. assign V716460 = V508113 - 1. assign V469828 = V583754. assign V944307 = V875719 - 1. assign V973110 = V546489 - 1. assign V511931 = V168598 + 1. assign V770531 = V904416. assign V085075 = V504857 + 1. assign V285661 = V032776 + 1. assign V904416 = V706091 - 1. assign V685723 = V946929 - 1. assign V873241 = V412006. assign V537617 = V685723 - 1. assign V053146 = V504857 - 1. assign V326894 = V915343. assign V279985 = V775319 - 1. assign V096119 = V875719. assign V697926 = V979354 + 1. assign V322312 = V001449. assign V156005 = V944307 + 1. assign V572186 = 9. assign V076406 = V013074 + 1. assign V808310 = V469828. assign V527436 = V583754 + 1. assign V693649 = V716460 - 1. assign V875477 = V716460 + 1. assign V618719 = V572186. assign V952736 = V776418 + 1. assign V074500 = V299303 + 1. assign V681666 = V013074 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV572186 = 9;\n\nFrom these direct assignment(s), we have: \nV618719 = V572186 = 9;\nNo other variables can be derived from V618719;\nNo other variables can be derived from V572186;\n\nNow we have done all the calculations. Derived variables are:\nV572186 = 9;\nV618719 = 9;\n\nNow we have finished this problem. ANSWER:\nV572186, V618719\n", "role": "assistant" } ]

[ "V305018", "V597653" ]

[ { "content": "<context>\nassign V952312 = V490236 + 1. assign V530655 = V204886 - 1. assign V436475 = V760727 - 1. assign V553733 = V639026. assign V455879 = V601258 + 1. assign V788816 = V914937 - 1. assign V433580 = V304106 - 1. assign V602710 = V533257 + 1. assign V030659 = V189989. assign V356525 = V331694. assign V587007 = V490236. assign V267458 = V398840 + 1. assign V646540 = V514645 - 1. assign V154566 = V619879 - 1. assign V305018 = 0. assign V674300 = V684529. assign V158904 = V908931. assign V612208 = V759043 - 1. assign V331694 = V587007 + 1. assign V684529 = V587007 + 1. assign V004707 = V331694 + 1. assign V086844 = V609367. assign V420120 = V788816 - 1. assign V822526 = V086844. assign V398840 = V991208. assign V908398 = V353800 - 1. assign V619879 = V685064 + 1. assign V490236 = V398840. assign V266181 = V455879 - 1. assign V137792 = V304106 + 1. assign V189989 = V639026. assign V283406 = V267458. assign V601258 = V490236. assign V736116 = V941245 - 1. assign V216080 = V685064 + 1. assign V328966 = V639026 - 1. assign V634706 = V514645 - 1. assign V618756 = V326813. assign V564569 = V991208 + 1. assign V908931 = V961968 - 1. assign V179085 = V589203 + 1. assign V962210 = V353800. assign V194381 = V684529. assign V937544 = V063769 + 1. assign V353800 = V398840. assign V459940 = V472054. assign V826346 = V398840 + 1. assign V040405 = V826346. assign V888077 = V962210 - 1. assign V063769 = V625268 - 1. assign V609367 = V961968 + 1. assign V702688 = V760727 + 1. assign V340033 = V564569. assign V311823 = V267458 - 1. assign V941245 = V299565 - 1. assign V770920 = V436475. assign V991208 = V760727 + 1. assign V296134 = V455879 - 1. assign V077401 = V326813 - 1. assign V906522 = V304106 + 1. assign V625268 = V283406 - 1. assign V514645 = V398840 + 1. assign V961968 = V642676 + 1. assign V642676 = V760727 - 1. assign V473324 = V589203 - 1. assign V589203 = V564569 - 1. assign V519867 = V914937. assign V737973 = V519867 + 1. assign V639026 = V353800 + 1. assign V204886 = V398840. assign V597653 = V305018. assign V759043 = V004707. assign V186578 = V216080 + 1. assign V189482 = V296134 - 1. assign V914937 = V770920 + 1. assign V514766 = V148533 + 1. assign V326813 = V646540 + 1. assign V707312 = V914937. assign V304106 = V991208 - 1. assign V472054 = V137792. assign V533257 = V353800 - 1. assign V841778 = V685064 - 1. assign V988040 = V304106 - 1. assign V299565 = V707312. assign V685064 = V519867 + 1. assign V148533 = V519867.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V952312 = V490236 + 1. assign V530655 = V204886 - 1. assign V436475 = V760727 - 1. assign V553733 = V639026. assign V455879 = V601258 + 1. assign V788816 = V914937 - 1. assign V433580 = V304106 - 1. assign V602710 = V533257 + 1. assign V030659 = V189989. assign V356525 = V331694. assign V587007 = V490236. assign V267458 = V398840 + 1. assign V646540 = V514645 - 1. assign V154566 = V619879 - 1. assign V305018 = 0. assign V674300 = V684529. assign V158904 = V908931. assign V612208 = V759043 - 1. assign V331694 = V587007 + 1. assign V684529 = V587007 + 1. assign V004707 = V331694 + 1. assign V086844 = V609367. assign V420120 = V788816 - 1. assign V822526 = V086844. assign V398840 = V991208. assign V908398 = V353800 - 1. assign V619879 = V685064 + 1. assign V490236 = V398840. assign V266181 = V455879 - 1. assign V137792 = V304106 + 1. assign V189989 = V639026. assign V283406 = V267458. assign V601258 = V490236. assign V736116 = V941245 - 1. assign V216080 = V685064 + 1. assign V328966 = V639026 - 1. assign V634706 = V514645 - 1. assign V618756 = V326813. assign V564569 = V991208 + 1. assign V908931 = V961968 - 1. assign V179085 = V589203 + 1. assign V962210 = V353800. assign V194381 = V684529. assign V937544 = V063769 + 1. assign V353800 = V398840. assign V459940 = V472054. assign V826346 = V398840 + 1. assign V040405 = V826346. assign V888077 = V962210 - 1. assign V063769 = V625268 - 1. assign V609367 = V961968 + 1. assign V702688 = V760727 + 1. assign V340033 = V564569. assign V311823 = V267458 - 1. assign V941245 = V299565 - 1. assign V770920 = V436475. assign V991208 = V760727 + 1. assign V296134 = V455879 - 1. assign V077401 = V326813 - 1. assign V906522 = V304106 + 1. assign V625268 = V283406 - 1. assign V514645 = V398840 + 1. assign V961968 = V642676 + 1. assign V642676 = V760727 - 1. assign V473324 = V589203 - 1. assign V589203 = V564569 - 1. assign V519867 = V914937. assign V737973 = V519867 + 1. assign V639026 = V353800 + 1. assign V204886 = V398840. assign V597653 = V305018. assign V759043 = V004707. assign V186578 = V216080 + 1. assign V189482 = V296134 - 1. assign V914937 = V770920 + 1. assign V514766 = V148533 + 1. assign V326813 = V646540 + 1. assign V707312 = V914937. assign V304106 = V991208 - 1. assign V472054 = V137792. assign V533257 = V353800 - 1. assign V841778 = V685064 - 1. assign V988040 = V304106 - 1. assign V299565 = V707312. assign V685064 = V519867 + 1. assign V148533 = V519867.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV305018 = 0;\n\nFrom these direct assignment(s), we have: \nV597653 = V305018 = 0;\nNo other variables can be derived from V597653;\nNo other variables can be derived from V305018;\n\nNow we have done all the calculations. Derived variables are:\nV305018 = 0;\nV597653 = 0;\n\nNow we have finished this problem. ANSWER:\nV305018, V597653\n", "role": "assistant" } ]

[ "V444908" ]

[ { "content": "<context>\nassign V196876 = V139814. assign V893561 = V585605. assign V589569 = V039058 - 1. assign V845628 = V572674. assign V214448 = V574861 - 1. assign V622466 = V954574. assign V585605 = V845628. assign V984591 = V199345. assign V476785 = V039058. assign V775479 = V767714 + 1. assign V040223 = V576596. assign V927773 = V585605 - 1. assign V104865 = V391782 - 1. assign V623587 = V576596 + 1. assign V200394 = V139814 - 1. assign V462482 = V927773 + 1. assign V306225 = V572674. assign V023536 = V574861 + 1. assign V383915 = V592924 - 1. assign V114256 = V592924. assign V762829 = V326084 + 1. assign V271217 = V657499 - 1. assign V326084 = V592924 - 1. assign V912698 = V589569 + 1. assign V990358 = V542397. assign V702806 = V932534. assign V893375 = V576596. assign V444908 = 3. assign V039058 = V592924 + 1. assign V574861 = V586675 + 1. assign V432770 = V697311. assign V850373 = V104865 + 1. assign V397143 = V702806. assign V922405 = V104865. assign V517671 = V200394. assign V767714 = V039058 + 1. assign V030979 = V816918 - 1. assign V053351 = V039058. assign V390407 = V845628 + 1. assign V323433 = V657499 - 1. assign V677427 = V390407 + 1. assign V391782 = V574861 - 1. assign V917191 = V585605 + 1. assign V957701 = V515615 - 1. assign V018930 = V657499. assign V932534 = V572674 + 1. assign V517947 = V893375 - 1. assign V849455 = V991969. assign V176942 = V169646. assign V834995 = V576596 + 1. assign V169646 = V421389. assign V137533 = V139814 + 1. assign V234354 = V444908 - 1. assign V816918 = V845628 - 1. assign V069123 = V104865. assign V429802 = V053351 - 1. assign V697311 = V139814 + 1. assign V786283 = V447242 - 1. assign V586675 = V585605. assign V843942 = V893561. assign V881605 = V702806 - 1. assign V700528 = V776131 + 1. assign V669760 = V188538. assign V542397 = V849455 + 1. assign V777994 = V893561. assign V199345 = V657499 - 1. assign V188538 = V589569 - 1. assign V752903 = V586675 - 1. assign V819959 = V984591. assign V421389 = V574861 - 1. assign V592924 = V030979 + 1. assign V665421 = V104865 + 1. assign V861501 = V917191. assign V913969 = V306225. assign V657499 = V586675. assign V954574 = V383915 + 1. assign V080349 = V843942. assign V776131 = V845628. assign V447242 = V932534. assign V991969 = V776131 - 1. assign V515615 = V849455 - 1. assign V091421 = V306225 + 1. assign V117211 = V917191 - 1. assign V013397 = V139814 - 1. assign V576596 = V196876 + 1. assign V139814 = V586675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V196876 = V139814. assign V893561 = V585605. assign V589569 = V039058 - 1. assign V845628 = V572674. assign V214448 = V574861 - 1. assign V622466 = V954574. assign V585605 = V845628. assign V984591 = V199345. assign V476785 = V039058. assign V775479 = V767714 + 1. assign V040223 = V576596. assign V927773 = V585605 - 1. assign V104865 = V391782 - 1. assign V623587 = V576596 + 1. assign V200394 = V139814 - 1. assign V462482 = V927773 + 1. assign V306225 = V572674. assign V023536 = V574861 + 1. assign V383915 = V592924 - 1. assign V114256 = V592924. assign V762829 = V326084 + 1. assign V271217 = V657499 - 1. assign V326084 = V592924 - 1. assign V912698 = V589569 + 1. assign V990358 = V542397. assign V702806 = V932534. assign V893375 = V576596. assign V444908 = 3. assign V039058 = V592924 + 1. assign V574861 = V586675 + 1. assign V432770 = V697311. assign V850373 = V104865 + 1. assign V397143 = V702806. assign V922405 = V104865. assign V517671 = V200394. assign V767714 = V039058 + 1. assign V030979 = V816918 - 1. assign V053351 = V039058. assign V390407 = V845628 + 1. assign V323433 = V657499 - 1. assign V677427 = V390407 + 1. assign V391782 = V574861 - 1. assign V917191 = V585605 + 1. assign V957701 = V515615 - 1. assign V018930 = V657499. assign V932534 = V572674 + 1. assign V517947 = V893375 - 1. assign V849455 = V991969. assign V176942 = V169646. assign V834995 = V576596 + 1. assign V169646 = V421389. assign V137533 = V139814 + 1. assign V234354 = V444908 - 1. assign V816918 = V845628 - 1. assign V069123 = V104865. assign V429802 = V053351 - 1. assign V697311 = V139814 + 1. assign V786283 = V447242 - 1. assign V586675 = V585605. assign V843942 = V893561. assign V881605 = V702806 - 1. assign V700528 = V776131 + 1. assign V669760 = V188538. assign V542397 = V849455 + 1. assign V777994 = V893561. assign V199345 = V657499 - 1. assign V188538 = V589569 - 1. assign V752903 = V586675 - 1. assign V819959 = V984591. assign V421389 = V574861 - 1. assign V592924 = V030979 + 1. assign V665421 = V104865 + 1. assign V861501 = V917191. assign V913969 = V306225. assign V657499 = V586675. assign V954574 = V383915 + 1. assign V080349 = V843942. assign V776131 = V845628. assign V447242 = V932534. assign V991969 = V776131 - 1. assign V515615 = V849455 - 1. assign V091421 = V306225 + 1. assign V117211 = V917191 - 1. assign V013397 = V139814 - 1. assign V576596 = V196876 + 1. assign V139814 = V586675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV444908 = 3;\n\nFrom these direct assignment(s), we have: \nV234354 = V444908 - 1 = 3 - 1 =2;\nNo other variables can be derived from V234354;\nNo other variables can be derived from V444908;\n\nNow we have done all the calculations. Derived variables are:\nV444908 = 3;\nV234354 = 2;\n\nNow we have finished this problem. ANSWER:\nV444908\n", "role": "assistant" } ]

[ "V212461", "V862789" ]

[ { "content": "<context>\nassign V209598 = V339582 + 1. assign V046604 = V103838 - 1. assign V433023 = V991452 + 1. assign V881229 = V339582. assign V568837 = V573120 - 1. assign V277362 = V815918 + 1. assign V054015 = V214032. assign V907798 = V209598 - 1. assign V787958 = V568837 - 1. assign V371167 = V129884. assign V182952 = V881229. assign V782549 = V568837 + 1. assign V475507 = V437433 + 1. assign V829692 = V689395 + 1. assign V204262 = V046604. assign V048418 = V266999. assign V843781 = V402875 - 1. assign V637204 = V696531 - 1. assign V402875 = V339582. assign V882939 = V339582 - 1. assign V156744 = V808659 - 1. assign V825364 = V609583 - 1. assign V816671 = V048418. assign V304130 = V103838 - 1. assign V339582 = V820906. assign V523382 = V437433. assign V424190 = V130339 - 1. assign V689395 = V637204 + 1. assign V997452 = V831893 + 1. assign V592598 = V361328 - 1. assign V264563 = V637204. assign V847181 = V696531. assign V815918 = V796259 - 1. assign V811629 = V796259. assign V144848 = V266999 + 1. assign V839288 = V843781 + 1. assign V171874 = V825364 - 1. assign V836767 = V266999. assign V521144 = V573120 - 1. assign V609583 = V820906 - 1. assign V287983 = V816671 + 1. assign V471740 = V287983. assign V223906 = V415551 - 1. assign V070711 = V361328. assign V585591 = V402875 - 1. assign V524943 = V382276 + 1. assign V608679 = V633405 + 1. assign V831893 = V402875 - 1. assign V437433 = V847181 + 1. assign V808659 = V642205 - 1. assign V359294 = V637204. assign V361328 = V633405 - 1. assign V415551 = V881229. assign V382276 = V103838. assign V991452 = V046604 + 1. assign V953629 = V881229. assign V416082 = V471740 + 1. assign V297089 = V415551. assign V266999 = V820906 + 1. assign V810938 = V205677 + 1. assign V137913 = V573120 - 1. assign V633405 = V046604 - 1. assign V205677 = V048418 - 1. assign V820906 = V796259. assign V642205 = V796259. assign V647617 = V205677 - 1. assign V572337 = V402875. assign V212461 = 7. assign V129884 = V214032 + 1. assign V353337 = V287983. assign V592562 = V382276 - 1. assign V905569 = V416082 + 1. assign V288010 = V382276. assign V573120 = V825364. assign V696531 = V642205. assign V862789 = V212461. assign V362231 = V696531. assign V643047 = V637204. assign V982086 = V825364 + 1. assign V851508 = V182952. assign V130339 = V991452 + 1. assign V796259 = V103838. assign V214032 = V820906. assign V339458 = V287983 - 1. assign V955146 = V353337. assign V063593 = V633405.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V209598 = V339582 + 1. assign V046604 = V103838 - 1. assign V433023 = V991452 + 1. assign V881229 = V339582. assign V568837 = V573120 - 1. assign V277362 = V815918 + 1. assign V054015 = V214032. assign V907798 = V209598 - 1. assign V787958 = V568837 - 1. assign V371167 = V129884. assign V182952 = V881229. assign V782549 = V568837 + 1. assign V475507 = V437433 + 1. assign V829692 = V689395 + 1. assign V204262 = V046604. assign V048418 = V266999. assign V843781 = V402875 - 1. assign V637204 = V696531 - 1. assign V402875 = V339582. assign V882939 = V339582 - 1. assign V156744 = V808659 - 1. assign V825364 = V609583 - 1. assign V816671 = V048418. assign V304130 = V103838 - 1. assign V339582 = V820906. assign V523382 = V437433. assign V424190 = V130339 - 1. assign V689395 = V637204 + 1. assign V997452 = V831893 + 1. assign V592598 = V361328 - 1. assign V264563 = V637204. assign V847181 = V696531. assign V815918 = V796259 - 1. assign V811629 = V796259. assign V144848 = V266999 + 1. assign V839288 = V843781 + 1. assign V171874 = V825364 - 1. assign V836767 = V266999. assign V521144 = V573120 - 1. assign V609583 = V820906 - 1. assign V287983 = V816671 + 1. assign V471740 = V287983. assign V223906 = V415551 - 1. assign V070711 = V361328. assign V585591 = V402875 - 1. assign V524943 = V382276 + 1. assign V608679 = V633405 + 1. assign V831893 = V402875 - 1. assign V437433 = V847181 + 1. assign V808659 = V642205 - 1. assign V359294 = V637204. assign V361328 = V633405 - 1. assign V415551 = V881229. assign V382276 = V103838. assign V991452 = V046604 + 1. assign V953629 = V881229. assign V416082 = V471740 + 1. assign V297089 = V415551. assign V266999 = V820906 + 1. assign V810938 = V205677 + 1. assign V137913 = V573120 - 1. assign V633405 = V046604 - 1. assign V205677 = V048418 - 1. assign V820906 = V796259. assign V642205 = V796259. assign V647617 = V205677 - 1. assign V572337 = V402875. assign V212461 = 7. assign V129884 = V214032 + 1. assign V353337 = V287983. assign V592562 = V382276 - 1. assign V905569 = V416082 + 1. assign V288010 = V382276. assign V573120 = V825364. assign V696531 = V642205. assign V862789 = V212461. assign V362231 = V696531. assign V643047 = V637204. assign V982086 = V825364 + 1. assign V851508 = V182952. assign V130339 = V991452 + 1. assign V796259 = V103838. assign V214032 = V820906. assign V339458 = V287983 - 1. assign V955146 = V353337. assign V063593 = V633405.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV212461 = 7;\n\nFrom these direct assignment(s), we have: \nV862789 = V212461 = 7;\nNo other variables can be derived from V862789;\nNo other variables can be derived from V212461;\n\nNow we have done all the calculations. Derived variables are:\nV212461 = 7;\nV862789 = 7;\n\nNow we have finished this problem. ANSWER:\nV212461, V862789\n", "role": "assistant" } ]

[ "V685476" ]

[ { "content": "<context>\nassign V043174 = V099510. assign V056041 = V670209 + 1. assign V142470 = V801352 - 1. assign V956116 = V268955 + 1. assign V360319 = V749632 + 1. assign V461586 = V418822 + 1. assign V894856 = V835155 - 1. assign V441845 = V346409. assign V049834 = V405086. assign V157173 = V520019. assign V940613 = V658272 + 1. assign V657080 = V239153 - 1. assign V548745 = V894856 + 1. assign V534359 = V315675. assign V239153 = V268955. assign V599483 = V157458 + 1. assign V313156 = V418822 - 1. assign V989490 = V685476 - 1. assign V482835 = V749632 + 1. assign V707622 = V956116. assign V740433 = V624176. assign V346409 = V772480 - 1. assign V986843 = V859799. assign V156237 = V712098. assign V606059 = V206724 - 1. assign V047288 = V220869 + 1. assign V099510 = V085985. assign V691230 = V801352. assign V140947 = V043174 + 1. assign V423470 = V142470 + 1. assign V561679 = V085985 + 1. assign V256263 = V085985 + 1. assign V328863 = V657080 + 1. assign V593058 = V272799. assign V835155 = V956116. assign V910937 = V346409. assign V946020 = V707622. assign V817700 = V859799. assign V829608 = V817700 - 1. assign V712098 = V108596 + 1. assign V315675 = V503971 - 1. assign V593198 = V530250 - 1. assign V162655 = V712098. assign V649560 = V056041 - 1. assign V418822 = V206724 - 1. assign V837112 = V530250 - 1. assign V189345 = V056041. assign V478832 = V405086 - 1. assign V206724 = V956116. assign V047006 = V272799 - 1. assign V011486 = V986843 + 1. assign V272799 = V772480. assign V333357 = V461586. assign V220869 = V206724 + 1. assign V503971 = V085985 + 1. assign V520019 = V894856 + 1. assign V085985 = V192625. assign V192625 = V239153 + 1. assign V749632 = V624176 - 1. assign V624176 = V691230 + 1. assign V518622 = V946020. assign V118814 = V658272. assign V690585 = V530250. assign V772480 = V859799. assign V826174 = V268955 + 1. assign V108596 = V118814 + 1. assign V801352 = V670209 - 1. assign V976869 = V118814 + 1. assign V405086 = V956116. assign V437729 = V423470. assign V530250 = V085985 - 1. assign V819384 = V503971 + 1. assign V305296 = V657080 + 1. assign V658272 = V239153. assign V965255 = V956116. assign V211655 = V835155 - 1. assign V157458 = V649560 + 1. assign V685476 = 4. assign V792073 = V313156. assign V670209 = V956116. assign V478691 = V256263 - 1. assign V408960 = V220869 + 1. assign V859799 = V712098 - 1. assign V312778 = V910937 + 1. assign V970735 = V859799 + 1. assign V050559 = V047288 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V043174 = V099510. assign V056041 = V670209 + 1. assign V142470 = V801352 - 1. assign V956116 = V268955 + 1. assign V360319 = V749632 + 1. assign V461586 = V418822 + 1. assign V894856 = V835155 - 1. assign V441845 = V346409. assign V049834 = V405086. assign V157173 = V520019. assign V940613 = V658272 + 1. assign V657080 = V239153 - 1. assign V548745 = V894856 + 1. assign V534359 = V315675. assign V239153 = V268955. assign V599483 = V157458 + 1. assign V313156 = V418822 - 1. assign V989490 = V685476 - 1. assign V482835 = V749632 + 1. assign V707622 = V956116. assign V740433 = V624176. assign V346409 = V772480 - 1. assign V986843 = V859799. assign V156237 = V712098. assign V606059 = V206724 - 1. assign V047288 = V220869 + 1. assign V099510 = V085985. assign V691230 = V801352. assign V140947 = V043174 + 1. assign V423470 = V142470 + 1. assign V561679 = V085985 + 1. assign V256263 = V085985 + 1. assign V328863 = V657080 + 1. assign V593058 = V272799. assign V835155 = V956116. assign V910937 = V346409. assign V946020 = V707622. assign V817700 = V859799. assign V829608 = V817700 - 1. assign V712098 = V108596 + 1. assign V315675 = V503971 - 1. assign V593198 = V530250 - 1. assign V162655 = V712098. assign V649560 = V056041 - 1. assign V418822 = V206724 - 1. assign V837112 = V530250 - 1. assign V189345 = V056041. assign V478832 = V405086 - 1. assign V206724 = V956116. assign V047006 = V272799 - 1. assign V011486 = V986843 + 1. assign V272799 = V772480. assign V333357 = V461586. assign V220869 = V206724 + 1. assign V503971 = V085985 + 1. assign V520019 = V894856 + 1. assign V085985 = V192625. assign V192625 = V239153 + 1. assign V749632 = V624176 - 1. assign V624176 = V691230 + 1. assign V518622 = V946020. assign V118814 = V658272. assign V690585 = V530250. assign V772480 = V859799. assign V826174 = V268955 + 1. assign V108596 = V118814 + 1. assign V801352 = V670209 - 1. assign V976869 = V118814 + 1. assign V405086 = V956116. assign V437729 = V423470. assign V530250 = V085985 - 1. assign V819384 = V503971 + 1. assign V305296 = V657080 + 1. assign V658272 = V239153. assign V965255 = V956116. assign V211655 = V835155 - 1. assign V157458 = V649560 + 1. assign V685476 = 4. assign V792073 = V313156. assign V670209 = V956116. assign V478691 = V256263 - 1. assign V408960 = V220869 + 1. assign V859799 = V712098 - 1. assign V312778 = V910937 + 1. assign V970735 = V859799 + 1. assign V050559 = V047288 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV685476 = 4;\n\nFrom these direct assignment(s), we have: \nV989490 = V685476 - 1 = 4 - 1 =3;\nNo other variables can be derived from V989490;\nNo other variables can be derived from V685476;\n\nNow we have done all the calculations. Derived variables are:\nV685476 = 4;\nV989490 = 3;\n\nNow we have finished this problem. ANSWER:\nV685476\n", "role": "assistant" } ]

[ "V868284", "V896402" ]

[ { "content": "<context>\nassign V832599 = V533954. assign V904864 = V078148 - 1. assign V341187 = V986248 + 1. assign V701121 = V398884 - 1. assign V210180 = V970372 - 1. assign V415883 = V970372 + 1. assign V062559 = V316427 + 1. assign V882209 = V443807. assign V760346 = V190394 + 1. assign V099944 = V904864. assign V986248 = V104969 - 1. assign V505348 = V398884. assign V785114 = V702648. assign V078148 = V341187. assign V427797 = V533954 + 1. assign V886389 = V156101 - 1. assign V316427 = V398884 + 1. assign V520985 = V702286. assign V768737 = V701121 + 1. assign V778754 = V239796 - 1. assign V582778 = V882209 - 1. assign V443807 = V702648. assign V044620 = V368946 - 1. assign V228022 = V702648 - 1. assign V121693 = V640874 + 1. assign V374807 = V959090. assign V518577 = V368946. assign V872349 = V663137. assign V374070 = V548456 - 1. assign V745406 = V038349. assign V363131 = V882209. assign V398884 = V228022. assign V825714 = V802679 - 1. assign V663137 = V443807 + 1. assign V362604 = V104969 - 1. assign V294868 = V702286 + 1. assign V038349 = V363131 + 1. assign V348865 = V886389. assign V935157 = V048221 + 1. assign V865925 = V702286 - 1. assign V445270 = V845007. assign V970372 = V228022 + 1. assign V432125 = V970372 - 1. assign V795495 = V959090. assign V525215 = V462567 + 1. assign V156101 = V663137 + 1. assign V802679 = V970372 + 1. assign V868284 = 9. assign V570495 = V307993 - 1. assign V548456 = V663137 - 1. assign V959090 = V548456 + 1. assign V702286 = V378565 + 1. assign V361157 = V228022 + 1. assign V239796 = V663137. assign V568382 = V520985 - 1. assign V120872 = V663137. assign V958430 = V568382. assign V005548 = V432125. assign V551993 = V415883 + 1. assign V627753 = V805820. assign V414842 = V570495 + 1. assign V368946 = V228022. assign V640874 = V368946. assign V805820 = V551993 - 1. assign V751414 = V398884. assign V104969 = V702286 + 1. assign V090945 = V533954 + 1. assign V793953 = V462567. assign V956854 = V398884 + 1. assign V307993 = V362604 - 1. assign V662740 = V882209. assign V190394 = V228022. assign V462567 = V210180. assign V533954 = V210180 - 1. assign V791508 = V701121 - 1. assign V702648 = V898012. assign V296764 = V702648 + 1. assign V503778 = V443807 - 1. assign V048221 = V884651 - 1. assign V359551 = V078148 - 1. assign V032388 = V316427 + 1. assign V845007 = V296764 + 1. assign V378565 = V898012 + 1. assign V896402 = V868284. assign V884651 = V296764 - 1. assign V989580 = V415883 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V832599 = V533954. assign V904864 = V078148 - 1. assign V341187 = V986248 + 1. assign V701121 = V398884 - 1. assign V210180 = V970372 - 1. assign V415883 = V970372 + 1. assign V062559 = V316427 + 1. assign V882209 = V443807. assign V760346 = V190394 + 1. assign V099944 = V904864. assign V986248 = V104969 - 1. assign V505348 = V398884. assign V785114 = V702648. assign V078148 = V341187. assign V427797 = V533954 + 1. assign V886389 = V156101 - 1. assign V316427 = V398884 + 1. assign V520985 = V702286. assign V768737 = V701121 + 1. assign V778754 = V239796 - 1. assign V582778 = V882209 - 1. assign V443807 = V702648. assign V044620 = V368946 - 1. assign V228022 = V702648 - 1. assign V121693 = V640874 + 1. assign V374807 = V959090. assign V518577 = V368946. assign V872349 = V663137. assign V374070 = V548456 - 1. assign V745406 = V038349. assign V363131 = V882209. assign V398884 = V228022. assign V825714 = V802679 - 1. assign V663137 = V443807 + 1. assign V362604 = V104969 - 1. assign V294868 = V702286 + 1. assign V038349 = V363131 + 1. assign V348865 = V886389. assign V935157 = V048221 + 1. assign V865925 = V702286 - 1. assign V445270 = V845007. assign V970372 = V228022 + 1. assign V432125 = V970372 - 1. assign V795495 = V959090. assign V525215 = V462567 + 1. assign V156101 = V663137 + 1. assign V802679 = V970372 + 1. assign V868284 = 9. assign V570495 = V307993 - 1. assign V548456 = V663137 - 1. assign V959090 = V548456 + 1. assign V702286 = V378565 + 1. assign V361157 = V228022 + 1. assign V239796 = V663137. assign V568382 = V520985 - 1. assign V120872 = V663137. assign V958430 = V568382. assign V005548 = V432125. assign V551993 = V415883 + 1. assign V627753 = V805820. assign V414842 = V570495 + 1. assign V368946 = V228022. assign V640874 = V368946. assign V805820 = V551993 - 1. assign V751414 = V398884. assign V104969 = V702286 + 1. assign V090945 = V533954 + 1. assign V793953 = V462567. assign V956854 = V398884 + 1. assign V307993 = V362604 - 1. assign V662740 = V882209. assign V190394 = V228022. assign V462567 = V210180. assign V533954 = V210180 - 1. assign V791508 = V701121 - 1. assign V702648 = V898012. assign V296764 = V702648 + 1. assign V503778 = V443807 - 1. assign V048221 = V884651 - 1. assign V359551 = V078148 - 1. assign V032388 = V316427 + 1. assign V845007 = V296764 + 1. assign V378565 = V898012 + 1. assign V896402 = V868284. assign V884651 = V296764 - 1. assign V989580 = V415883 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV868284 = 9;\n\nFrom these direct assignment(s), we have: \nV896402 = V868284 = 9;\nNo other variables can be derived from V896402;\nNo other variables can be derived from V868284;\n\nNow we have done all the calculations. Derived variables are:\nV868284 = 9;\nV896402 = 9;\n\nNow we have finished this problem. ANSWER:\nV868284, V896402\n", "role": "assistant" } ]

[ "V798423", "V823690" ]

[ { "content": "<context>\nassign V265726 = V051227 + 1. assign V676263 = V739657. assign V372577 = V247971 + 1. assign V010215 = V086066. assign V927946 = V485637 + 1. assign V728125 = V338904 + 1. assign V090053 = V328511. assign V707270 = V167807 - 1. assign V051227 = V967962 + 1. assign V877279 = V459287 + 1. assign V937142 = V384819 - 1. assign V248351 = V010215. assign V998821 = V006599 - 1. assign V562997 = V958252. assign V752720 = V728125 + 1. assign V022309 = V466076 - 1. assign V264375 = V751617 + 1. assign V238074 = V924030. assign V329510 = V086066. assign V707540 = V927946 - 1. assign V818989 = V301158 + 1. assign V320506 = V998821 + 1. assign V473269 = V273525 - 1. assign V204931 = V186347 + 1. assign V328511 = V466076 + 1. assign V382667 = V927946. assign V338904 = V676263 - 1. assign V186347 = V247971 + 1. assign V924648 = V357730. assign V247971 = V858807 - 1. assign V875004 = V247971 + 1. assign V357730 = V728125 - 1. assign V782837 = V453161 - 1. assign V342186 = V133540. assign V705575 = V384819. assign V485637 = V676263 - 1. assign V134486 = V453161 - 1. assign V724731 = V728125. assign V958252 = V876512 + 1. assign V303651 = V273525 - 1. assign V097031 = V752720 - 1. assign V642130 = V022309 + 1. assign V985400 = V015518. assign V967962 = V086066. assign V823690 = V798423. assign V133540 = V739657. assign V015518 = V739657 + 1. assign V086066 = V751617 + 1. assign V167807 = V739657 - 1. assign V798423 = 9. assign V086270 = V040731 + 1. assign V876512 = V338904 - 1. assign V170942 = V372577 - 1. assign V240019 = V724731 + 1. assign V650485 = V924030. assign V384819 = V876512 - 1. assign V751617 = V739657 + 1. assign V762425 = V473269 + 1. assign V162052 = V876512 + 1. assign V739859 = V676263. assign V126394 = V473269 + 1. assign V040731 = V357730 + 1. assign V977028 = V927946 + 1. assign V466076 = V040731 + 1. assign V059810 = V459287 - 1. assign V453161 = V015518. assign V858807 = V338904 - 1. assign V660809 = V485637 - 1. assign V980443 = V086066 + 1. assign V443165 = V485637 - 1. assign V188448 = V752720 + 1. assign V368812 = V980443 + 1. assign V273525 = V357730 - 1. assign V579005 = V876512. assign V844903 = V059810 + 1. assign V418549 = V126394. assign V491295 = V382667 - 1. assign V077864 = V707270 + 1. assign V115680 = V739657. assign V924030 = V357730 + 1. assign V668130 = V010215 - 1. assign V459287 = V162052 + 1. assign V301158 = V751617 - 1. assign V006599 = V980443 - 1. assign V177110 = V167807. assign V516744 = V247971 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V265726 = V051227 + 1. assign V676263 = V739657. assign V372577 = V247971 + 1. assign V010215 = V086066. assign V927946 = V485637 + 1. assign V728125 = V338904 + 1. assign V090053 = V328511. assign V707270 = V167807 - 1. assign V051227 = V967962 + 1. assign V877279 = V459287 + 1. assign V937142 = V384819 - 1. assign V248351 = V010215. assign V998821 = V006599 - 1. assign V562997 = V958252. assign V752720 = V728125 + 1. assign V022309 = V466076 - 1. assign V264375 = V751617 + 1. assign V238074 = V924030. assign V329510 = V086066. assign V707540 = V927946 - 1. assign V818989 = V301158 + 1. assign V320506 = V998821 + 1. assign V473269 = V273525 - 1. assign V204931 = V186347 + 1. assign V328511 = V466076 + 1. assign V382667 = V927946. assign V338904 = V676263 - 1. assign V186347 = V247971 + 1. assign V924648 = V357730. assign V247971 = V858807 - 1. assign V875004 = V247971 + 1. assign V357730 = V728125 - 1. assign V782837 = V453161 - 1. assign V342186 = V133540. assign V705575 = V384819. assign V485637 = V676263 - 1. assign V134486 = V453161 - 1. assign V724731 = V728125. assign V958252 = V876512 + 1. assign V303651 = V273525 - 1. assign V097031 = V752720 - 1. assign V642130 = V022309 + 1. assign V985400 = V015518. assign V967962 = V086066. assign V823690 = V798423. assign V133540 = V739657. assign V015518 = V739657 + 1. assign V086066 = V751617 + 1. assign V167807 = V739657 - 1. assign V798423 = 9. assign V086270 = V040731 + 1. assign V876512 = V338904 - 1. assign V170942 = V372577 - 1. assign V240019 = V724731 + 1. assign V650485 = V924030. assign V384819 = V876512 - 1. assign V751617 = V739657 + 1. assign V762425 = V473269 + 1. assign V162052 = V876512 + 1. assign V739859 = V676263. assign V126394 = V473269 + 1. assign V040731 = V357730 + 1. assign V977028 = V927946 + 1. assign V466076 = V040731 + 1. assign V059810 = V459287 - 1. assign V453161 = V015518. assign V858807 = V338904 - 1. assign V660809 = V485637 - 1. assign V980443 = V086066 + 1. assign V443165 = V485637 - 1. assign V188448 = V752720 + 1. assign V368812 = V980443 + 1. assign V273525 = V357730 - 1. assign V579005 = V876512. assign V844903 = V059810 + 1. assign V418549 = V126394. assign V491295 = V382667 - 1. assign V077864 = V707270 + 1. assign V115680 = V739657. assign V924030 = V357730 + 1. assign V668130 = V010215 - 1. assign V459287 = V162052 + 1. assign V301158 = V751617 - 1. assign V006599 = V980443 - 1. assign V177110 = V167807. assign V516744 = V247971 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV798423 = 9;\n\nFrom these direct assignment(s), we have: \nV823690 = V798423 = 9;\nNo other variables can be derived from V823690;\nNo other variables can be derived from V798423;\n\nNow we have done all the calculations. Derived variables are:\nV798423 = 9;\nV823690 = 9;\n\nNow we have finished this problem. ANSWER:\nV798423, V823690\n", "role": "assistant" } ]

[ "V076626" ]

[ { "content": "<context>\nassign V704490 = V305959 - 1. assign V950814 = V465407. assign V886340 = V687046 + 1. assign V523828 = V343127 + 1. assign V979172 = V584217. assign V738435 = V465407. assign V183191 = V271051 + 1. assign V200366 = V379744 + 1. assign V343127 = V614723 + 1. assign V183363 = V086233. assign V685730 = V159012 + 1. assign V076626 = 10. assign V159012 = V271051. assign V465407 = V301665 - 1. assign V297587 = V455089 + 1. assign V086233 = V016492 + 1. assign V953777 = V965108 + 1. assign V687046 = V305959. assign V800540 = V922979 - 1. assign V614723 = V384592. assign V653976 = V687046. assign V626950 = V803080. assign V599284 = V727962. assign V326915 = V653976 + 1. assign V026155 = V032312. assign V797776 = V627753 + 1. assign V627753 = V800540 + 1. assign V541545 = V385130 - 1. assign V211935 = V599284. assign V871508 = V953777 - 1. assign V541270 = V076626 - 1. assign V982084 = V211935. assign V831410 = V422426. assign V584217 = V599284. assign V098400 = V032312. assign V016492 = V339626 + 1. assign V335729 = V297587 - 1. assign V567712 = V614723 - 1. assign V177406 = V062913 + 1. assign V550857 = V297587. assign V437309 = V627753. assign V820424 = V092776 + 1. assign V072626 = V922979 - 1. assign V032312 = V301665 + 1. assign V457388 = V627753. assign V422426 = V614723 + 1. assign V472873 = V343127 + 1. assign V339626 = V379000 - 1. assign V305959 = V800540 + 1. assign V803532 = V072626. assign V062913 = V798560 - 1. assign V622878 = V653976. assign V379000 = V271051 - 1. assign V078173 = V465407. assign V294538 = V343127. assign V459513 = V979172 + 1. assign V023023 = V614723. assign V666047 = V422426 - 1. assign V147109 = V465407. assign V468904 = V455089. assign V301665 = V455089 + 1. assign V803080 = V541545 + 1. assign V965108 = V567712. assign V979002 = V831410 + 1. assign V580868 = V468904. assign V271051 = V922979 + 1. assign V754853 = V599284 + 1. assign V922979 = V614723. assign V455089 = V614723 - 1. assign V159565 = V687046. assign V540891 = V567712. assign V837139 = V211935. assign V249436 = V803532. assign V727962 = V072626 + 1. assign V305972 = V177406 - 1. assign V092776 = V305959 + 1. assign V286863 = V503543 + 1. assign V057095 = V472873 - 1. assign V779816 = V550857 - 1. assign V078603 = V803080 - 1. assign V379744 = V666047 + 1. assign V798560 = V384592. assign V503543 = V965108. assign V315021 = V982084 + 1. assign V385130 = V032312 - 1. assign V454275 = V550857.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V704490 = V305959 - 1. assign V950814 = V465407. assign V886340 = V687046 + 1. assign V523828 = V343127 + 1. assign V979172 = V584217. assign V738435 = V465407. assign V183191 = V271051 + 1. assign V200366 = V379744 + 1. assign V343127 = V614723 + 1. assign V183363 = V086233. assign V685730 = V159012 + 1. assign V076626 = 10. assign V159012 = V271051. assign V465407 = V301665 - 1. assign V297587 = V455089 + 1. assign V086233 = V016492 + 1. assign V953777 = V965108 + 1. assign V687046 = V305959. assign V800540 = V922979 - 1. assign V614723 = V384592. assign V653976 = V687046. assign V626950 = V803080. assign V599284 = V727962. assign V326915 = V653976 + 1. assign V026155 = V032312. assign V797776 = V627753 + 1. assign V627753 = V800540 + 1. assign V541545 = V385130 - 1. assign V211935 = V599284. assign V871508 = V953777 - 1. assign V541270 = V076626 - 1. assign V982084 = V211935. assign V831410 = V422426. assign V584217 = V599284. assign V098400 = V032312. assign V016492 = V339626 + 1. assign V335729 = V297587 - 1. assign V567712 = V614723 - 1. assign V177406 = V062913 + 1. assign V550857 = V297587. assign V437309 = V627753. assign V820424 = V092776 + 1. assign V072626 = V922979 - 1. assign V032312 = V301665 + 1. assign V457388 = V627753. assign V422426 = V614723 + 1. assign V472873 = V343127 + 1. assign V339626 = V379000 - 1. assign V305959 = V800540 + 1. assign V803532 = V072626. assign V062913 = V798560 - 1. assign V622878 = V653976. assign V379000 = V271051 - 1. assign V078173 = V465407. assign V294538 = V343127. assign V459513 = V979172 + 1. assign V023023 = V614723. assign V666047 = V422426 - 1. assign V147109 = V465407. assign V468904 = V455089. assign V301665 = V455089 + 1. assign V803080 = V541545 + 1. assign V965108 = V567712. assign V979002 = V831410 + 1. assign V580868 = V468904. assign V271051 = V922979 + 1. assign V754853 = V599284 + 1. assign V922979 = V614723. assign V455089 = V614723 - 1. assign V159565 = V687046. assign V540891 = V567712. assign V837139 = V211935. assign V249436 = V803532. assign V727962 = V072626 + 1. assign V305972 = V177406 - 1. assign V092776 = V305959 + 1. assign V286863 = V503543 + 1. assign V057095 = V472873 - 1. assign V779816 = V550857 - 1. assign V078603 = V803080 - 1. assign V379744 = V666047 + 1. assign V798560 = V384592. assign V503543 = V965108. assign V315021 = V982084 + 1. assign V385130 = V032312 - 1. assign V454275 = V550857.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV076626 = 10;\n\nFrom these direct assignment(s), we have: \nV541270 = V076626 - 1 = 10 - 1 =9;\nNo other variables can be derived from V541270;\nNo other variables can be derived from V076626;\n\nNow we have done all the calculations. Derived variables are:\nV076626 = 10;\nV541270 = 9;\n\nNow we have finished this problem. ANSWER:\nV076626\n", "role": "assistant" } ]

[ "V837023" ]

[ { "content": "<context>\nassign V060904 = V217774. assign V428467 = V646561 + 1. assign V714050 = V951685. assign V162877 = V581198 + 1. assign V052389 = V551044. assign V493317 = V492436 + 1. assign V059851 = V302818. assign V461634 = V808665 + 1. assign V889400 = V627120 - 1. assign V625353 = V860234 - 1. assign V071052 = V829249 - 1. assign V780076 = V677969. assign V785510 = V453085 + 1. assign V399695 = V788095. assign V621826 = V749714 + 1. assign V453085 = V527403 + 1. assign V808665 = V901582. assign V918338 = V492436 - 1. assign V430765 = V837023 + 1. assign V901582 = V061565 + 1. assign V690905 = V646561 + 1. assign V646561 = V918338 + 1. assign V395828 = V785510 - 1. assign V863991 = V101252 - 1. assign V848401 = V808665 + 1. assign V838299 = V075952 + 1. assign V788583 = V217774. assign V492436 = V453085. assign V860234 = V492436 + 1. assign V627120 = V302818 + 1. assign V951685 = V421065 - 1. assign V749714 = V527403 + 1. assign V702503 = V492436. assign V966544 = V627120. assign V530108 = V513347. assign V588414 = V749714 + 1. assign V495109 = V677969. assign V760047 = V951685 + 1. assign V302818 = V238853 - 1. assign V162107 = V238853 - 1. assign V293794 = V302818 - 1. assign V268810 = V217774. assign V433761 = V380534 - 1. assign V829249 = V527403 + 1. assign V238853 = V527403 + 1. assign V842458 = V690905. assign V061719 = V690905 + 1. assign V677969 = V527403. assign V129811 = V162107. assign V371891 = V702503 - 1. assign V514029 = V588414 + 1. assign V513347 = V527403. assign V306030 = V527403. assign V192443 = V889400 + 1. assign V867880 = V302818. assign V571882 = V421065 + 1. assign V581198 = V461634. assign V714669 = V625353. assign V700341 = V702503 - 1. assign V609631 = V621826 - 1. assign V075952 = V625353 - 1. assign V422891 = V527403 - 1. assign V986910 = V097203 - 1. assign V227705 = V889400 - 1. assign V795873 = V129811. assign V061565 = V421065 - 1. assign V788095 = V702503 + 1. assign V009816 = V867880. assign V722102 = V162107 - 1. assign V534070 = V951685. assign V161905 = V848401. assign V545023 = V399695 + 1. assign V456875 = V495109. assign V618466 = V527403 - 1. assign V837023 = 6. assign V217774 = V702503. assign V371427 = V848401. assign V551044 = V749714. assign V101252 = V749714 - 1. assign V097203 = V453085. assign V949671 = V380534 - 1. assign V892015 = V609631. assign V421065 = V702503 + 1. assign V380534 = V808665. assign V799593 = V495109 + 1. assign V464332 = V581198.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V060904 = V217774. assign V428467 = V646561 + 1. assign V714050 = V951685. assign V162877 = V581198 + 1. assign V052389 = V551044. assign V493317 = V492436 + 1. assign V059851 = V302818. assign V461634 = V808665 + 1. assign V889400 = V627120 - 1. assign V625353 = V860234 - 1. assign V071052 = V829249 - 1. assign V780076 = V677969. assign V785510 = V453085 + 1. assign V399695 = V788095. assign V621826 = V749714 + 1. assign V453085 = V527403 + 1. assign V808665 = V901582. assign V918338 = V492436 - 1. assign V430765 = V837023 + 1. assign V901582 = V061565 + 1. assign V690905 = V646561 + 1. assign V646561 = V918338 + 1. assign V395828 = V785510 - 1. assign V863991 = V101252 - 1. assign V848401 = V808665 + 1. assign V838299 = V075952 + 1. assign V788583 = V217774. assign V492436 = V453085. assign V860234 = V492436 + 1. assign V627120 = V302818 + 1. assign V951685 = V421065 - 1. assign V749714 = V527403 + 1. assign V702503 = V492436. assign V966544 = V627120. assign V530108 = V513347. assign V588414 = V749714 + 1. assign V495109 = V677969. assign V760047 = V951685 + 1. assign V302818 = V238853 - 1. assign V162107 = V238853 - 1. assign V293794 = V302818 - 1. assign V268810 = V217774. assign V433761 = V380534 - 1. assign V829249 = V527403 + 1. assign V238853 = V527403 + 1. assign V842458 = V690905. assign V061719 = V690905 + 1. assign V677969 = V527403. assign V129811 = V162107. assign V371891 = V702503 - 1. assign V514029 = V588414 + 1. assign V513347 = V527403. assign V306030 = V527403. assign V192443 = V889400 + 1. assign V867880 = V302818. assign V571882 = V421065 + 1. assign V581198 = V461634. assign V714669 = V625353. assign V700341 = V702503 - 1. assign V609631 = V621826 - 1. assign V075952 = V625353 - 1. assign V422891 = V527403 - 1. assign V986910 = V097203 - 1. assign V227705 = V889400 - 1. assign V795873 = V129811. assign V061565 = V421065 - 1. assign V788095 = V702503 + 1. assign V009816 = V867880. assign V722102 = V162107 - 1. assign V534070 = V951685. assign V161905 = V848401. assign V545023 = V399695 + 1. assign V456875 = V495109. assign V618466 = V527403 - 1. assign V837023 = 6. assign V217774 = V702503. assign V371427 = V848401. assign V551044 = V749714. assign V101252 = V749714 - 1. assign V097203 = V453085. assign V949671 = V380534 - 1. assign V892015 = V609631. assign V421065 = V702503 + 1. assign V380534 = V808665. assign V799593 = V495109 + 1. assign V464332 = V581198.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV837023 = 6;\n\nFrom these direct assignment(s), we have: \nV430765 = V837023 + 1 = 6 + 1 =7;\nNo other variables can be derived from V430765;\nNo other variables can be derived from V837023;\n\nNow we have done all the calculations. Derived variables are:\nV837023 = 6;\nV430765 = 7;\n\nNow we have finished this problem. ANSWER:\nV837023\n", "role": "assistant" } ]

[ "V431943" ]

[ { "content": "<context>\nassign V859415 = V836674 - 1. assign V688117 = V859415. assign V706137 = V822169. assign V547736 = V859415 + 1. assign V249128 = V267823 - 1. assign V362128 = V941024. assign V306352 = V859415. assign V537839 = V358727 - 1. assign V821302 = V570475 - 1. assign V510654 = V267823 - 1. assign V366957 = V493782 + 1. assign V528632 = V617819 - 1. assign V429247 = V021117 - 1. assign V895698 = V700779 - 1. assign V838819 = V173083 - 1. assign V455840 = V401954 + 1. assign V062013 = V362128 - 1. assign V431943 = V719501 + 1. assign V274345 = V445260. assign V843583 = V895698. assign V568811 = V028037 - 1. assign V493782 = V859415 + 1. assign V047783 = V445260 - 1. assign V836674 = V445260 + 1. assign V373773 = V836674 + 1. assign V051487 = V021117. assign V469637 = V822169. assign V719501 = 1. assign V033670 = V859415 - 1. assign V635855 = V541600 + 1. assign V860226 = V493218. assign V225373 = V635855. assign V570475 = V859415. assign V920923 = V822169 + 1. assign V700779 = V445260 + 1. assign V822169 = V021117 - 1. assign V035505 = V859415. assign V211625 = V836674 - 1. assign V650991 = V570475 - 1. assign V659454 = V469637. assign V045150 = V859415 + 1. assign V579296 = V688117 + 1. assign V670043 = V033670 - 1. assign V293389 = V996789 + 1. assign V142978 = V570475 - 1. assign V333794 = V843583 - 1. assign V098196 = V541600. assign V473549 = V650343. assign V334582 = V700779. assign V468663 = V173083 - 1. assign V553994 = V445260 - 1. assign V401954 = V741710 - 1. assign V941024 = V163040 + 1. assign V541600 = V153585 - 1. assign V518021 = V429247. assign V383279 = V028037 - 1. assign V888416 = V493218. assign V869425 = V021117 - 1. assign V026395 = V650343 - 1. assign V101388 = V822169. assign V996324 = V358727 - 1. assign V996789 = V383279 + 1. assign V378339 = V869425. assign V153585 = V429247 - 1. assign V198533 = V028037. assign V982870 = V537839 - 1. assign V741710 = V051487. assign V621133 = V267823 - 1. assign V849662 = V688117 + 1. assign V445260 = V429247. assign V028037 = V836674. assign V457842 = V173083 - 1. assign V617819 = V700779 + 1. assign V177632 = V383279 - 1. assign V967727 = V378339. assign V007957 = V045150. assign V850533 = V553994 + 1. assign V746230 = V293389 - 1. assign V576383 = V153585 + 1. assign V493218 = V621133 - 1. assign V960337 = V528632 - 1. assign V650343 = V822169 - 1. assign V173083 = V493218 + 1. assign V358727 = V045150 - 1. assign V267823 = V153585. assign V163040 = V429247.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V859415 = V836674 - 1. assign V688117 = V859415. assign V706137 = V822169. assign V547736 = V859415 + 1. assign V249128 = V267823 - 1. assign V362128 = V941024. assign V306352 = V859415. assign V537839 = V358727 - 1. assign V821302 = V570475 - 1. assign V510654 = V267823 - 1. assign V366957 = V493782 + 1. assign V528632 = V617819 - 1. assign V429247 = V021117 - 1. assign V895698 = V700779 - 1. assign V838819 = V173083 - 1. assign V455840 = V401954 + 1. assign V062013 = V362128 - 1. assign V431943 = V719501 + 1. assign V274345 = V445260. assign V843583 = V895698. assign V568811 = V028037 - 1. assign V493782 = V859415 + 1. assign V047783 = V445260 - 1. assign V836674 = V445260 + 1. assign V373773 = V836674 + 1. assign V051487 = V021117. assign V469637 = V822169. assign V719501 = 1. assign V033670 = V859415 - 1. assign V635855 = V541600 + 1. assign V860226 = V493218. assign V225373 = V635855. assign V570475 = V859415. assign V920923 = V822169 + 1. assign V700779 = V445260 + 1. assign V822169 = V021117 - 1. assign V035505 = V859415. assign V211625 = V836674 - 1. assign V650991 = V570475 - 1. assign V659454 = V469637. assign V045150 = V859415 + 1. assign V579296 = V688117 + 1. assign V670043 = V033670 - 1. assign V293389 = V996789 + 1. assign V142978 = V570475 - 1. assign V333794 = V843583 - 1. assign V098196 = V541600. assign V473549 = V650343. assign V334582 = V700779. assign V468663 = V173083 - 1. assign V553994 = V445260 - 1. assign V401954 = V741710 - 1. assign V941024 = V163040 + 1. assign V541600 = V153585 - 1. assign V518021 = V429247. assign V383279 = V028037 - 1. assign V888416 = V493218. assign V869425 = V021117 - 1. assign V026395 = V650343 - 1. assign V101388 = V822169. assign V996324 = V358727 - 1. assign V996789 = V383279 + 1. assign V378339 = V869425. assign V153585 = V429247 - 1. assign V198533 = V028037. assign V982870 = V537839 - 1. assign V741710 = V051487. assign V621133 = V267823 - 1. assign V849662 = V688117 + 1. assign V445260 = V429247. assign V028037 = V836674. assign V457842 = V173083 - 1. assign V617819 = V700779 + 1. assign V177632 = V383279 - 1. assign V967727 = V378339. assign V007957 = V045150. assign V850533 = V553994 + 1. assign V746230 = V293389 - 1. assign V576383 = V153585 + 1. assign V493218 = V621133 - 1. assign V960337 = V528632 - 1. assign V650343 = V822169 - 1. assign V173083 = V493218 + 1. assign V358727 = V045150 - 1. assign V267823 = V153585. assign V163040 = V429247.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV719501 = 1;\n\nFrom these direct assignment(s), we have: \nV431943 = V719501 + 1 = 1 + 1 =2;\nNo other variables can be derived from V431943;\nNo other variables can be derived from V719501;\n\nNow we have done all the calculations. Derived variables are:\nV719501 = 1;\nV431943 = 2;\n\nNow we have finished this problem. ANSWER:\nV431943\n", "role": "assistant" } ]

[ "V970368" ]

[ { "content": "<context>\nassign V650154 = V980206 + 1. assign V371693 = V425871 - 1. assign V980206 = V337269 - 1. assign V530570 = V629717 - 1. assign V218809 = V326072 - 1. assign V425871 = V218609 + 1. assign V386566 = V556583. assign V039736 = V096021. assign V224088 = V316973 - 1. assign V181744 = V683478 - 1. assign V969843 = V337269. assign V962410 = V629717 + 1. assign V596194 = V269520 + 1. assign V486433 = V218609 - 1. assign V269520 = V425871 + 1. assign V152456 = V973039 - 1. assign V173050 = V531419. assign V556583 = V186170. assign V050404 = V600514 + 1. assign V734752 = V056546. assign V385186 = V556583 - 1. assign V977952 = V316973 - 1. assign V371294 = V707100 - 1. assign V844477 = V860983. assign V096021 = V316973 + 1. assign V216205 = V056546 - 1. assign V875054 = V056546 + 1. assign V515743 = V326072. assign V271319 = V597367 + 1. assign V897442 = V173050 - 1. assign V034166 = V171137 + 1. assign V335133 = 4. assign V316973 = V186170 - 1. assign V755178 = V218609. assign V493845 = V056546 + 1. assign V860983 = V034166. assign V629717 = V269520. assign V161938 = V958662 + 1. assign V335014 = V269520 + 1. assign V626215 = V629717. assign V729271 = V316973. assign V219574 = V972578. assign V531419 = V218609 + 1. assign V900551 = V683478. assign V441511 = V034166 + 1. assign V476994 = V531419. assign V023041 = V596194 - 1. assign V386187 = V558855 + 1. assign V543254 = V719326. assign V970368 = V335133 + 1. assign V537707 = V403419 + 1. assign V429347 = V973039 - 1. assign V958662 = V425871 + 1. assign V683478 = V486433 - 1. assign V395221 = V218609 - 1. assign V479653 = V018855. assign V597367 = V493845 - 1. assign V972578 = V493845. assign V403419 = V056546 + 1. assign V806107 = V096021 - 1. assign V699001 = V543254. assign V145852 = V326072 + 1. assign V337269 = V316973 + 1. assign V558855 = V224088. assign V171137 = V493845 - 1. assign V658990 = V218609. assign V326072 = V316973 + 1. assign V056546 = V425871 - 1. assign V503559 = V900551 + 1. assign V987492 = V269520 - 1. assign V186170 = V218609. assign V707100 = V425871 - 1. assign V204427 = V597367 - 1. assign V892377 = V096021. assign V847122 = V204427 + 1. assign V600514 = V658990. assign V416529 = V987492 + 1. assign V719326 = V425871 + 1. assign V526506 = V186170 + 1. assign V736539 = V216205. assign V844830 = V218809. assign V202774 = V597367 + 1. assign V310645 = V371693 + 1. assign V973039 = V597367. assign V806529 = V034166. assign V018855 = V543254 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V650154 = V980206 + 1. assign V371693 = V425871 - 1. assign V980206 = V337269 - 1. assign V530570 = V629717 - 1. assign V218809 = V326072 - 1. assign V425871 = V218609 + 1. assign V386566 = V556583. assign V039736 = V096021. assign V224088 = V316973 - 1. assign V181744 = V683478 - 1. assign V969843 = V337269. assign V962410 = V629717 + 1. assign V596194 = V269520 + 1. assign V486433 = V218609 - 1. assign V269520 = V425871 + 1. assign V152456 = V973039 - 1. assign V173050 = V531419. assign V556583 = V186170. assign V050404 = V600514 + 1. assign V734752 = V056546. assign V385186 = V556583 - 1. assign V977952 = V316973 - 1. assign V371294 = V707100 - 1. assign V844477 = V860983. assign V096021 = V316973 + 1. assign V216205 = V056546 - 1. assign V875054 = V056546 + 1. assign V515743 = V326072. assign V271319 = V597367 + 1. assign V897442 = V173050 - 1. assign V034166 = V171137 + 1. assign V335133 = 4. assign V316973 = V186170 - 1. assign V755178 = V218609. assign V493845 = V056546 + 1. assign V860983 = V034166. assign V629717 = V269520. assign V161938 = V958662 + 1. assign V335014 = V269520 + 1. assign V626215 = V629717. assign V729271 = V316973. assign V219574 = V972578. assign V531419 = V218609 + 1. assign V900551 = V683478. assign V441511 = V034166 + 1. assign V476994 = V531419. assign V023041 = V596194 - 1. assign V386187 = V558855 + 1. assign V543254 = V719326. assign V970368 = V335133 + 1. assign V537707 = V403419 + 1. assign V429347 = V973039 - 1. assign V958662 = V425871 + 1. assign V683478 = V486433 - 1. assign V395221 = V218609 - 1. assign V479653 = V018855. assign V597367 = V493845 - 1. assign V972578 = V493845. assign V403419 = V056546 + 1. assign V806107 = V096021 - 1. assign V699001 = V543254. assign V145852 = V326072 + 1. assign V337269 = V316973 + 1. assign V558855 = V224088. assign V171137 = V493845 - 1. assign V658990 = V218609. assign V326072 = V316973 + 1. assign V056546 = V425871 - 1. assign V503559 = V900551 + 1. assign V987492 = V269520 - 1. assign V186170 = V218609. assign V707100 = V425871 - 1. assign V204427 = V597367 - 1. assign V892377 = V096021. assign V847122 = V204427 + 1. assign V600514 = V658990. assign V416529 = V987492 + 1. assign V719326 = V425871 + 1. assign V526506 = V186170 + 1. assign V736539 = V216205. assign V844830 = V218809. assign V202774 = V597367 + 1. assign V310645 = V371693 + 1. assign V973039 = V597367. assign V806529 = V034166. assign V018855 = V543254 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV335133 = 4;\n\nFrom these direct assignment(s), we have: \nV970368 = V335133 + 1 = 4 + 1 =5;\nNo other variables can be derived from V970368;\nNo other variables can be derived from V335133;\n\nNow we have done all the calculations. Derived variables are:\nV335133 = 4;\nV970368 = 5;\n\nNow we have finished this problem. ANSWER:\nV970368\n", "role": "assistant" } ]

[ "V196382" ]

[ { "content": "<context>\nassign V971529 = V926445 + 1. assign V318732 = V786331. assign V791055 = V164065 + 1. assign V047022 = V971529 + 1. assign V337480 = V791055 + 1. assign V547760 = V655286. assign V215910 = V586310. assign V875292 = V021545. assign V196382 = V690795 + 1. assign V853693 = V795525. assign V200273 = V926445 - 1. assign V586310 = V050027. assign V360755 = V316250 - 1. assign V672750 = V586310 + 1. assign V155045 = V410225 - 1. assign V316250 = V050027. assign V455217 = V476601 - 1. assign V161256 = V001529 - 1. assign V655286 = V438267 + 1. assign V410225 = V934747 + 1. assign V820259 = V639326. assign V743422 = V840036 + 1. assign V724784 = V586025. assign V315844 = V778214 + 1. assign V926445 = V786331 - 1. assign V639326 = V392947 - 1. assign V021545 = V786331. assign V047769 = V726856 - 1. assign V186438 = V392947. assign V840036 = V391989 - 1. assign V841827 = V920320. assign V452769 = V049831 + 1. assign V367582 = V505217 + 1. assign V391989 = V810315 - 1. assign V153088 = V701611 - 1. assign V778214 = V934747 + 1. assign V390288 = V934747 - 1. assign V842881 = V786331 - 1. assign V876473 = V316250. assign V556230 = V191843. assign V313656 = V452769 - 1. assign V619447 = V778214 + 1. assign V735179 = V478989 + 1. assign V690795 = 0. assign V606604 = V875292 + 1. assign V795525 = V934747 + 1. assign V652931 = V810315. assign V164065 = V934747 + 1. assign V807904 = V876473 + 1. assign V753986 = V648524 - 1. assign V049831 = V505217 + 1. assign V586025 = V215910. assign V665007 = V810315 + 1. assign V810315 = V934747. assign V726856 = V655286. assign V505217 = V249465. assign V976739 = V392947 + 1. assign V139827 = V701611. assign V249465 = V316250. assign V786331 = V934747. assign V050027 = V934747 + 1. assign V438267 = V586310 + 1. assign V830920 = V392947. assign V303573 = V743422 + 1. assign V648524 = V360755. assign V711059 = V795525. assign V560244 = V153088 + 1. assign V785242 = V318732 - 1. assign V701611 = V391989 + 1. assign V973597 = V567084 - 1. assign V332675 = V391989. assign V752063 = V391989 + 1. assign V191843 = V778214. assign V392947 = V505217 - 1. assign V478989 = V249465. assign V246183 = V476601 + 1. assign V990653 = V050027. assign V476601 = V215910 + 1. assign V897405 = V786331 + 1. assign V512117 = V853693 + 1. assign V920320 = V505217 + 1. assign V373248 = V191843 - 1. assign V001529 = V665007 + 1. assign V761418 = V139827 + 1. assign V395568 = V392947. assign V567084 = V655286 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V971529 = V926445 + 1. assign V318732 = V786331. assign V791055 = V164065 + 1. assign V047022 = V971529 + 1. assign V337480 = V791055 + 1. assign V547760 = V655286. assign V215910 = V586310. assign V875292 = V021545. assign V196382 = V690795 + 1. assign V853693 = V795525. assign V200273 = V926445 - 1. assign V586310 = V050027. assign V360755 = V316250 - 1. assign V672750 = V586310 + 1. assign V155045 = V410225 - 1. assign V316250 = V050027. assign V455217 = V476601 - 1. assign V161256 = V001529 - 1. assign V655286 = V438267 + 1. assign V410225 = V934747 + 1. assign V820259 = V639326. assign V743422 = V840036 + 1. assign V724784 = V586025. assign V315844 = V778214 + 1. assign V926445 = V786331 - 1. assign V639326 = V392947 - 1. assign V021545 = V786331. assign V047769 = V726856 - 1. assign V186438 = V392947. assign V840036 = V391989 - 1. assign V841827 = V920320. assign V452769 = V049831 + 1. assign V367582 = V505217 + 1. assign V391989 = V810315 - 1. assign V153088 = V701611 - 1. assign V778214 = V934747 + 1. assign V390288 = V934747 - 1. assign V842881 = V786331 - 1. assign V876473 = V316250. assign V556230 = V191843. assign V313656 = V452769 - 1. assign V619447 = V778214 + 1. assign V735179 = V478989 + 1. assign V690795 = 0. assign V606604 = V875292 + 1. assign V795525 = V934747 + 1. assign V652931 = V810315. assign V164065 = V934747 + 1. assign V807904 = V876473 + 1. assign V753986 = V648524 - 1. assign V049831 = V505217 + 1. assign V586025 = V215910. assign V665007 = V810315 + 1. assign V810315 = V934747. assign V726856 = V655286. assign V505217 = V249465. assign V976739 = V392947 + 1. assign V139827 = V701611. assign V249465 = V316250. assign V786331 = V934747. assign V050027 = V934747 + 1. assign V438267 = V586310 + 1. assign V830920 = V392947. assign V303573 = V743422 + 1. assign V648524 = V360755. assign V711059 = V795525. assign V560244 = V153088 + 1. assign V785242 = V318732 - 1. assign V701611 = V391989 + 1. assign V973597 = V567084 - 1. assign V332675 = V391989. assign V752063 = V391989 + 1. assign V191843 = V778214. assign V392947 = V505217 - 1. assign V478989 = V249465. assign V246183 = V476601 + 1. assign V990653 = V050027. assign V476601 = V215910 + 1. assign V897405 = V786331 + 1. assign V512117 = V853693 + 1. assign V920320 = V505217 + 1. assign V373248 = V191843 - 1. assign V001529 = V665007 + 1. assign V761418 = V139827 + 1. assign V395568 = V392947. assign V567084 = V655286 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV690795 = 0;\n\nFrom these direct assignment(s), we have: \nV196382 = V690795 + 1 = 0 + 1 =1;\nNo other variables can be derived from V196382;\nNo other variables can be derived from V690795;\n\nNow we have done all the calculations. Derived variables are:\nV690795 = 0;\nV196382 = 1;\n\nNow we have finished this problem. ANSWER:\nV196382\n", "role": "assistant" } ]

[ "V523159" ]

[ { "content": "<context>\nassign V654427 = V960408 - 1. assign V936541 = V950625. assign V924721 = V423914 + 1. assign V868346 = V960408 - 1. assign V345701 = V423914 - 1. assign V790177 = V568549 + 1. assign V281373 = V849474. assign V415038 = V061110. assign V379534 = V689506 + 1. assign V954953 = V756073 + 1. assign V103542 = V754626. assign V263453 = V849474. assign V451901 = V309334 + 1. assign V335545 = V790177 - 1. assign V065609 = V450997 + 1. assign V588350 = V622266. assign V271076 = V568549 + 1. assign V670998 = V950625 + 1. assign V172803 = V450997. assign V705524 = V523338 + 1. assign V367567 = V840522. assign V957438 = V568549. assign V349171 = V448342 - 1. assign V523159 = 2. assign V877837 = V350140 + 1. assign V615330 = V423914 + 1. assign V640208 = V807699. assign V148422 = V807699. assign V677550 = V358677 + 1. assign V738569 = V849474 + 1. assign V061110 = V309334. assign V754626 = V622266. assign V339022 = V790177. assign V752925 = V642158 - 1. assign V726905 = V807699 + 1. assign V774217 = V642158. assign V450997 = V950625 - 1. assign V581763 = V924721 + 1. assign V330302 = V622266. assign V304215 = V132330 + 1. assign V960933 = V379534. assign V689506 = V271076 - 1. assign V949172 = V523159 + 1. assign V208227 = V588350 + 1. assign V490708 = V840522. assign V499065 = V960408. assign V195437 = V172803. assign V849474 = V670998. assign V610547 = V132330. assign V568549 = V960408 - 1. assign V434412 = V509841 - 1. assign V132330 = V271076 + 1. assign V863406 = V957438 + 1. assign V680021 = V568549. assign V335084 = V335545. assign V388302 = V588350. assign V990115 = V330302 + 1. assign V622266 = V345701 + 1. assign V111792 = V345701 + 1. assign V509841 = V990115 + 1. assign V523338 = V330302 + 1. assign V756073 = V148422 - 1. assign V358677 = V754626 - 1. assign V686891 = V689506 + 1. assign V309334 = V345701 + 1. assign V372063 = V689506 + 1. assign V960408 = V345701 + 1. assign V851305 = V957438 - 1. assign V840522 = V756073 - 1. assign V439932 = V304215. assign V404042 = V756073. assign V815451 = V379534. assign V350140 = V689506 - 1. assign V163170 = V358677. assign V642875 = V686891 - 1. assign V642158 = V157935. assign V950625 = V957438 + 1. assign V807699 = V271076 - 1. assign V028835 = V774217 - 1. assign V448342 = V499065 - 1. assign V100666 = V756073. assign V105741 = V372063. assign V229891 = V050586 + 1. assign V050586 = V309334. assign V157935 = V423914 - 1. assign V223866 = V271076.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V654427 = V960408 - 1. assign V936541 = V950625. assign V924721 = V423914 + 1. assign V868346 = V960408 - 1. assign V345701 = V423914 - 1. assign V790177 = V568549 + 1. assign V281373 = V849474. assign V415038 = V061110. assign V379534 = V689506 + 1. assign V954953 = V756073 + 1. assign V103542 = V754626. assign V263453 = V849474. assign V451901 = V309334 + 1. assign V335545 = V790177 - 1. assign V065609 = V450997 + 1. assign V588350 = V622266. assign V271076 = V568549 + 1. assign V670998 = V950625 + 1. assign V172803 = V450997. assign V705524 = V523338 + 1. assign V367567 = V840522. assign V957438 = V568549. assign V349171 = V448342 - 1. assign V523159 = 2. assign V877837 = V350140 + 1. assign V615330 = V423914 + 1. assign V640208 = V807699. assign V148422 = V807699. assign V677550 = V358677 + 1. assign V738569 = V849474 + 1. assign V061110 = V309334. assign V754626 = V622266. assign V339022 = V790177. assign V752925 = V642158 - 1. assign V726905 = V807699 + 1. assign V774217 = V642158. assign V450997 = V950625 - 1. assign V581763 = V924721 + 1. assign V330302 = V622266. assign V304215 = V132330 + 1. assign V960933 = V379534. assign V689506 = V271076 - 1. assign V949172 = V523159 + 1. assign V208227 = V588350 + 1. assign V490708 = V840522. assign V499065 = V960408. assign V195437 = V172803. assign V849474 = V670998. assign V610547 = V132330. assign V568549 = V960408 - 1. assign V434412 = V509841 - 1. assign V132330 = V271076 + 1. assign V863406 = V957438 + 1. assign V680021 = V568549. assign V335084 = V335545. assign V388302 = V588350. assign V990115 = V330302 + 1. assign V622266 = V345701 + 1. assign V111792 = V345701 + 1. assign V509841 = V990115 + 1. assign V523338 = V330302 + 1. assign V756073 = V148422 - 1. assign V358677 = V754626 - 1. assign V686891 = V689506 + 1. assign V309334 = V345701 + 1. assign V372063 = V689506 + 1. assign V960408 = V345701 + 1. assign V851305 = V957438 - 1. assign V840522 = V756073 - 1. assign V439932 = V304215. assign V404042 = V756073. assign V815451 = V379534. assign V350140 = V689506 - 1. assign V163170 = V358677. assign V642875 = V686891 - 1. assign V642158 = V157935. assign V950625 = V957438 + 1. assign V807699 = V271076 - 1. assign V028835 = V774217 - 1. assign V448342 = V499065 - 1. assign V100666 = V756073. assign V105741 = V372063. assign V229891 = V050586 + 1. assign V050586 = V309334. assign V157935 = V423914 - 1. assign V223866 = V271076.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV523159 = 2;\n\nFrom these direct assignment(s), we have: \nV949172 = V523159 + 1 = 2 + 1 =3;\nNo other variables can be derived from V949172;\nNo other variables can be derived from V523159;\n\nNow we have done all the calculations. Derived variables are:\nV523159 = 2;\nV949172 = 3;\n\nNow we have finished this problem. ANSWER:\nV523159\n", "role": "assistant" } ]

[ "V924487" ]

[ { "content": "<context>\nassign V457517 = V468853 - 1. assign V116789 = V906419 - 1. assign V649425 = V825257. assign V309850 = V510074 - 1. assign V714347 = V230904 + 1. assign V595628 = V240327. assign V674129 = V870836 - 1. assign V211195 = V182963 - 1. assign V655023 = V116789 - 1. assign V769438 = V131191 + 1. assign V600371 = V535419 + 1. assign V381653 = V587844 + 1. assign V684296 = V380461 - 1. assign V404802 = V529819. assign V370452 = V240327 - 1. assign V318544 = V978185 + 1. assign V727050 = V513083 - 1. assign V870836 = V339663 + 1. assign V873110 = V155545. assign V472009 = V339663. assign V169347 = V587844. assign V741044 = V116789 + 1. assign V788337 = V529819 + 1. assign V433155 = V873110 + 1. assign V209832 = V765654 + 1. assign V155545 = V867322 + 1. assign V944869 = V595628 + 1. assign V682264 = 0. assign V835212 = V600371 - 1. assign V182963 = V380461. assign V268205 = V875042. assign V924487 = V682264 - 1. assign V236691 = V181270 - 1. assign V468853 = V065409. assign V687985 = V370452. assign V953625 = V169347 - 1. assign V935682 = V268205 + 1. assign V460704 = V769438. assign V914081 = V103683 + 1. assign V380461 = V867322 - 1. assign V339663 = V587551 + 1. assign V252375 = V155545. assign V880215 = V184941 - 1. assign V587844 = V529819 + 1. assign V997048 = V788337 + 1. assign V510074 = V870571 - 1. assign V468878 = V404802 + 1. assign V270408 = V978185 + 1. assign V181270 = V209832 - 1. assign V401572 = V684296. assign V626852 = V741044 - 1. assign V103683 = V155545 - 1. assign V443645 = V301450. assign V049860 = V873110 + 1. assign V301450 = V655023. assign V492053 = V825257 - 1. assign V400008 = V870836 - 1. assign V065409 = V404802 - 1. assign V302119 = V400008 - 1. assign V137360 = V655023. assign V673563 = V137360. assign V825257 = V184941 + 1. assign V870571 = V978185 - 1. assign V230904 = V535419 + 1. assign V765654 = V587844 - 1. assign V433653 = V835212 + 1. assign V886169 = V587551 - 1. assign V824466 = V535419 - 1. assign V131191 = V587844 + 1. assign V085285 = V824466 + 1. assign V978185 = V535419 + 1. assign V286310 = V085285 + 1. assign V906419 = V587844 - 1. assign V602597 = V189601. assign V875042 = V595628 - 1. assign V621424 = V741044. assign V184941 = V155545. assign V240327 = V404802. assign V628044 = V457517 - 1. assign V587551 = V404802. assign V513083 = V906419 + 1. assign V867322 = V529819 - 1. assign V189601 = V867322 + 1. assign V765579 = V049860 - 1. assign V955294 = V714347 + 1. assign V535419 = V587844 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V457517 = V468853 - 1. assign V116789 = V906419 - 1. assign V649425 = V825257. assign V309850 = V510074 - 1. assign V714347 = V230904 + 1. assign V595628 = V240327. assign V674129 = V870836 - 1. assign V211195 = V182963 - 1. assign V655023 = V116789 - 1. assign V769438 = V131191 + 1. assign V600371 = V535419 + 1. assign V381653 = V587844 + 1. assign V684296 = V380461 - 1. assign V404802 = V529819. assign V370452 = V240327 - 1. assign V318544 = V978185 + 1. assign V727050 = V513083 - 1. assign V870836 = V339663 + 1. assign V873110 = V155545. assign V472009 = V339663. assign V169347 = V587844. assign V741044 = V116789 + 1. assign V788337 = V529819 + 1. assign V433155 = V873110 + 1. assign V209832 = V765654 + 1. assign V155545 = V867322 + 1. assign V944869 = V595628 + 1. assign V682264 = 0. assign V835212 = V600371 - 1. assign V182963 = V380461. assign V268205 = V875042. assign V924487 = V682264 - 1. assign V236691 = V181270 - 1. assign V468853 = V065409. assign V687985 = V370452. assign V953625 = V169347 - 1. assign V935682 = V268205 + 1. assign V460704 = V769438. assign V914081 = V103683 + 1. assign V380461 = V867322 - 1. assign V339663 = V587551 + 1. assign V252375 = V155545. assign V880215 = V184941 - 1. assign V587844 = V529819 + 1. assign V997048 = V788337 + 1. assign V510074 = V870571 - 1. assign V468878 = V404802 + 1. assign V270408 = V978185 + 1. assign V181270 = V209832 - 1. assign V401572 = V684296. assign V626852 = V741044 - 1. assign V103683 = V155545 - 1. assign V443645 = V301450. assign V049860 = V873110 + 1. assign V301450 = V655023. assign V492053 = V825257 - 1. assign V400008 = V870836 - 1. assign V065409 = V404802 - 1. assign V302119 = V400008 - 1. assign V137360 = V655023. assign V673563 = V137360. assign V825257 = V184941 + 1. assign V870571 = V978185 - 1. assign V230904 = V535419 + 1. assign V765654 = V587844 - 1. assign V433653 = V835212 + 1. assign V886169 = V587551 - 1. assign V824466 = V535419 - 1. assign V131191 = V587844 + 1. assign V085285 = V824466 + 1. assign V978185 = V535419 + 1. assign V286310 = V085285 + 1. assign V906419 = V587844 - 1. assign V602597 = V189601. assign V875042 = V595628 - 1. assign V621424 = V741044. assign V184941 = V155545. assign V240327 = V404802. assign V628044 = V457517 - 1. assign V587551 = V404802. assign V513083 = V906419 + 1. assign V867322 = V529819 - 1. assign V189601 = V867322 + 1. assign V765579 = V049860 - 1. assign V955294 = V714347 + 1. assign V535419 = V587844 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV682264 = 0;\n\nFrom these direct assignment(s), we have: \nV924487 = V682264 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V924487;\nNo other variables can be derived from V682264;\n\nNow we have done all the calculations. Derived variables are:\nV682264 = 0;\nV924487 = -1;\n\nNow we have finished this problem. ANSWER:\nV924487\n", "role": "assistant" } ]

[ "V576799", "V664324" ]

[ { "content": "<context>\nassign V955122 = V486426. assign V856792 = V789808. assign V880652 = V901996 + 1. assign V789808 = V582141 - 1. assign V793458 = V475770. assign V235282 = V053849. assign V733387 = V111519. assign V363287 = V818151. assign V160047 = V263820. assign V223911 = V223773 + 1. assign V197658 = V563660. assign V906104 = V901996. assign V620162 = V981734 + 1. assign V835942 = V578634 - 1. assign V874902 = V258642 - 1. assign V011614 = V730125 + 1. assign V102685 = V949612 + 1. assign V184081 = V757437 + 1. assign V682198 = V111519. assign V447273 = V893674 - 1. assign V363804 = V438595 + 1. assign V783848 = V263820. assign V185865 = V235282 - 1. assign V893674 = V880652 + 1. assign V479442 = V457271. assign V625989 = V053849. assign V173354 = V160047 - 1. assign V931703 = V733387 + 1. assign V788495 = V298543. assign V522048 = V893674 + 1. assign V312789 = V445183 + 1. assign V445183 = V818151 - 1. assign V627465 = V445183 - 1. assign V521205 = V433330 + 1. assign V263820 = V111519 - 1. assign V258642 = V733387. assign V045804 = V817378 + 1. assign V411221 = V184081 - 1. assign V699224 = V901996 + 1. assign V348898 = V111519. assign V730125 = V235282 + 1. assign V576799 = 2. assign V320569 = V259048 + 1. assign V886524 = V184081 - 1. assign V147830 = V433330 + 1. assign V817378 = V730125. assign V819550 = V893674 + 1. assign V582141 = V053849. assign V111519 = V053849 - 1. assign V108587 = V757437. assign V981734 = V733387 + 1. assign V818151 = V479442 + 1. assign V438595 = V757437 - 1. assign V298543 = V235282 - 1. assign V274471 = V363287 + 1. assign V757437 = V235282 - 1. assign V772846 = V817378 - 1. assign V208658 = V993580 - 1. assign V486426 = V298543 - 1. assign V857841 = V730125 + 1. assign V323931 = V259048 + 1. assign V563660 = V625989 + 1. assign V259048 = V479442. assign V945437 = V486426 - 1. assign V223773 = V893674. assign V223468 = V323931 + 1. assign V870642 = V302881 + 1. assign V457271 = V053849 + 1. assign V079496 = V411221 - 1. assign V940344 = V111519 + 1. assign V037566 = V818151 - 1. assign V901996 = V757437 - 1. assign V949612 = V682198. assign V433330 = V757437 + 1. assign V652759 = V818151. assign V475770 = V772846 - 1. assign V862023 = V818151 - 1. assign V664324 = V576799. assign V855529 = V223911 - 1. assign V812547 = V411221. assign V685976 = V817378 + 1. assign V419116 = V625989. assign V993580 = V981734 - 1. assign V555112 = V733387 + 1. assign V302881 = V037566 + 1. assign V578634 = V993580.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V955122 = V486426. assign V856792 = V789808. assign V880652 = V901996 + 1. assign V789808 = V582141 - 1. assign V793458 = V475770. assign V235282 = V053849. assign V733387 = V111519. assign V363287 = V818151. assign V160047 = V263820. assign V223911 = V223773 + 1. assign V197658 = V563660. assign V906104 = V901996. assign V620162 = V981734 + 1. assign V835942 = V578634 - 1. assign V874902 = V258642 - 1. assign V011614 = V730125 + 1. assign V102685 = V949612 + 1. assign V184081 = V757437 + 1. assign V682198 = V111519. assign V447273 = V893674 - 1. assign V363804 = V438595 + 1. assign V783848 = V263820. assign V185865 = V235282 - 1. assign V893674 = V880652 + 1. assign V479442 = V457271. assign V625989 = V053849. assign V173354 = V160047 - 1. assign V931703 = V733387 + 1. assign V788495 = V298543. assign V522048 = V893674 + 1. assign V312789 = V445183 + 1. assign V445183 = V818151 - 1. assign V627465 = V445183 - 1. assign V521205 = V433330 + 1. assign V263820 = V111519 - 1. assign V258642 = V733387. assign V045804 = V817378 + 1. assign V411221 = V184081 - 1. assign V699224 = V901996 + 1. assign V348898 = V111519. assign V730125 = V235282 + 1. assign V576799 = 2. assign V320569 = V259048 + 1. assign V886524 = V184081 - 1. assign V147830 = V433330 + 1. assign V817378 = V730125. assign V819550 = V893674 + 1. assign V582141 = V053849. assign V111519 = V053849 - 1. assign V108587 = V757437. assign V981734 = V733387 + 1. assign V818151 = V479442 + 1. assign V438595 = V757437 - 1. assign V298543 = V235282 - 1. assign V274471 = V363287 + 1. assign V757437 = V235282 - 1. assign V772846 = V817378 - 1. assign V208658 = V993580 - 1. assign V486426 = V298543 - 1. assign V857841 = V730125 + 1. assign V323931 = V259048 + 1. assign V563660 = V625989 + 1. assign V259048 = V479442. assign V945437 = V486426 - 1. assign V223773 = V893674. assign V223468 = V323931 + 1. assign V870642 = V302881 + 1. assign V457271 = V053849 + 1. assign V079496 = V411221 - 1. assign V940344 = V111519 + 1. assign V037566 = V818151 - 1. assign V901996 = V757437 - 1. assign V949612 = V682198. assign V433330 = V757437 + 1. assign V652759 = V818151. assign V475770 = V772846 - 1. assign V862023 = V818151 - 1. assign V664324 = V576799. assign V855529 = V223911 - 1. assign V812547 = V411221. assign V685976 = V817378 + 1. assign V419116 = V625989. assign V993580 = V981734 - 1. assign V555112 = V733387 + 1. assign V302881 = V037566 + 1. assign V578634 = V993580.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV576799 = 2;\n\nFrom these direct assignment(s), we have: \nV664324 = V576799 = 2;\nNo other variables can be derived from V664324;\nNo other variables can be derived from V576799;\n\nNow we have done all the calculations. Derived variables are:\nV576799 = 2;\nV664324 = 2;\n\nNow we have finished this problem. ANSWER:\nV576799, V664324\n", "role": "assistant" } ]

[ "V867608" ]

[ { "content": "<context>\nassign V681866 = V954712 - 1. assign V954712 = V241839 - 1. assign V699362 = V166733 - 1. assign V156851 = V489025 - 1. assign V474125 = V734767. assign V818294 = V092537 - 1. assign V503135 = V957289 + 1. assign V456574 = V215731. assign V968074 = V499958 - 1. assign V637205 = V503135 + 1. assign V493706 = V607860 + 1. assign V789117 = V219461. assign V864642 = V284552 + 1. assign V562531 = V593606 + 1. assign V687855 = V524389. assign V806916 = V241839 + 1. assign V194995 = V497465 + 1. assign V928819 = V062206 + 1. assign V847305 = V748179. assign V214604 = V474125. assign V927221 = V524389. assign V820717 = V258305 - 1. assign V593606 = V241839. assign V910567 = V661500 + 1. assign V129690 = V474125 - 1. assign V008973 = V456574 - 1. assign V333154 = V489025 - 1. assign V497465 = V425341 + 1. assign V996942 = V640532. assign V215731 = V875467 + 1. assign V661500 = V593606 + 1. assign V219461 = V806916 + 1. assign V964045 = V215731. assign V607860 = V214604. assign V420983 = V699362 + 1. assign V650434 = V469724. assign V812838 = V716097. assign V962163 = V499958 - 1. assign V694679 = V497465. assign V204062 = V806916. assign V518438 = V687855 - 1. assign V449263 = V425341 - 1. assign V548922 = V806916 - 1. assign V849664 = V716097 - 1. assign V637041 = V640532. assign V476735 = V867608 + 1. assign V726069 = V753339. assign V301451 = V864642. assign V469724 = V787736 + 1. assign V934890 = V092537 + 1. assign V787736 = V215731 - 1. assign V968323 = V812838 + 1. assign V858881 = V241839 + 1. assign V499958 = V092537 - 1. assign V006945 = V265028 + 1. assign V849071 = V456574 + 1. assign V789303 = V934890. assign V734767 = V524389. assign V654813 = V503135 + 1. assign V786092 = V062206 + 1. assign V525208 = V734767. assign V775285 = V524389. assign V089175 = V716097 + 1. assign V753339 = V469724 + 1. assign V886619 = V957289 - 1. assign V640532 = V806916. assign V716097 = V562531. assign V634535 = V497465 + 1. assign V957289 = V650918. assign V425341 = V215731 - 1. assign V867608 = 1. assign V448304 = V258305 - 1. assign V650918 = V215731 + 1. assign V657752 = V789303. assign V258305 = V215731. assign V062206 = V524389 + 1. assign V284552 = V716097 + 1. assign V875467 = V166733. assign V092537 = V954712 - 1. assign V230493 = V806916. assign V489025 = V425341 + 1. assign V748179 = V241839. assign V166733 = V241839 - 1. assign V524389 = V593606 - 1. assign V265028 = V503135 - 1. assign V774616 = V734767 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V681866 = V954712 - 1. assign V954712 = V241839 - 1. assign V699362 = V166733 - 1. assign V156851 = V489025 - 1. assign V474125 = V734767. assign V818294 = V092537 - 1. assign V503135 = V957289 + 1. assign V456574 = V215731. assign V968074 = V499958 - 1. assign V637205 = V503135 + 1. assign V493706 = V607860 + 1. assign V789117 = V219461. assign V864642 = V284552 + 1. assign V562531 = V593606 + 1. assign V687855 = V524389. assign V806916 = V241839 + 1. assign V194995 = V497465 + 1. assign V928819 = V062206 + 1. assign V847305 = V748179. assign V214604 = V474125. assign V927221 = V524389. assign V820717 = V258305 - 1. assign V593606 = V241839. assign V910567 = V661500 + 1. assign V129690 = V474125 - 1. assign V008973 = V456574 - 1. assign V333154 = V489025 - 1. assign V497465 = V425341 + 1. assign V996942 = V640532. assign V215731 = V875467 + 1. assign V661500 = V593606 + 1. assign V219461 = V806916 + 1. assign V964045 = V215731. assign V607860 = V214604. assign V420983 = V699362 + 1. assign V650434 = V469724. assign V812838 = V716097. assign V962163 = V499958 - 1. assign V694679 = V497465. assign V204062 = V806916. assign V518438 = V687855 - 1. assign V449263 = V425341 - 1. assign V548922 = V806916 - 1. assign V849664 = V716097 - 1. assign V637041 = V640532. assign V476735 = V867608 + 1. assign V726069 = V753339. assign V301451 = V864642. assign V469724 = V787736 + 1. assign V934890 = V092537 + 1. assign V787736 = V215731 - 1. assign V968323 = V812838 + 1. assign V858881 = V241839 + 1. assign V499958 = V092537 - 1. assign V006945 = V265028 + 1. assign V849071 = V456574 + 1. assign V789303 = V934890. assign V734767 = V524389. assign V654813 = V503135 + 1. assign V786092 = V062206 + 1. assign V525208 = V734767. assign V775285 = V524389. assign V089175 = V716097 + 1. assign V753339 = V469724 + 1. assign V886619 = V957289 - 1. assign V640532 = V806916. assign V716097 = V562531. assign V634535 = V497465 + 1. assign V957289 = V650918. assign V425341 = V215731 - 1. assign V867608 = 1. assign V448304 = V258305 - 1. assign V650918 = V215731 + 1. assign V657752 = V789303. assign V258305 = V215731. assign V062206 = V524389 + 1. assign V284552 = V716097 + 1. assign V875467 = V166733. assign V092537 = V954712 - 1. assign V230493 = V806916. assign V489025 = V425341 + 1. assign V748179 = V241839. assign V166733 = V241839 - 1. assign V524389 = V593606 - 1. assign V265028 = V503135 - 1. assign V774616 = V734767 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV867608 = 1;\n\nFrom these direct assignment(s), we have: \nV476735 = V867608 + 1 = 1 + 1 =2;\nNo other variables can be derived from V476735;\nNo other variables can be derived from V867608;\n\nNow we have done all the calculations. Derived variables are:\nV867608 = 1;\nV476735 = 2;\n\nNow we have finished this problem. ANSWER:\nV867608\n", "role": "assistant" } ]

[ "V770761" ]

[ { "content": "<context>\nassign V137430 = V696288. assign V931975 = V929300 + 1. assign V770761 = 10. assign V828082 = V906860. assign V308778 = V201132. assign V093597 = V291441 - 1. assign V091539 = V308778 - 1. assign V109387 = V654301 + 1. assign V786175 = V131098. assign V674398 = V884536 - 1. assign V489993 = V929300. assign V191573 = V879516 + 1. assign V653755 = V331580. assign V019741 = V137430. assign V291441 = V523913 + 1. assign V548521 = V523913 - 1. assign V057002 = V201132 + 1. assign V112647 = V523913 + 1. assign V845424 = V523201 + 1. assign V997685 = V201132 - 1. assign V118672 = V548521. assign V076150 = V440422 - 1. assign V519570 = V929300. assign V617006 = V879516. assign V495402 = V653755 - 1. assign V879516 = V380968 - 1. assign V239165 = V879516 + 1. assign V717174 = V091539. assign V848198 = V845424. assign V860698 = V148745 - 1. assign V929300 = V523201 + 1. assign V440422 = V822793 + 1. assign V822793 = V523201 - 1. assign V731773 = V617006 - 1. assign V717795 = V519570 + 1. assign V884536 = V696288 - 1. assign V201132 = V112545. assign V616215 = V734843 - 1. assign V678515 = V109387. assign V093263 = V331580 - 1. assign V819568 = V770761 - 1. assign V628392 = V731773 + 1. assign V521589 = V848198 + 1. assign V857537 = V653755. assign V171896 = V038961 + 1. assign V267824 = V210735. assign V669003 = V118672 - 1. assign V463741 = V057002 + 1. assign V614754 = V523201. assign V915286 = V440422 + 1. assign V716441 = V076150. assign V407245 = V489993. assign V654301 = V201132 - 1. assign V555771 = V982469 + 1. assign V696288 = V523201. assign V494824 = V057002. assign V385918 = V424303 + 1. assign V030918 = V955793 - 1. assign V734843 = V822793 - 1. assign V644908 = V828082. assign V210735 = V716441 + 1. assign V102064 = V347436 - 1. assign V508206 = V822793 + 1. assign V870691 = V674398 - 1. assign V131098 = V091539 - 1. assign V853416 = V548521 + 1. assign V112545 = V929300 + 1. assign V347436 = V463741. assign V825294 = V380968 + 1. assign V056114 = V171896 - 1. assign V163541 = V825294 + 1. assign V424303 = V929300 - 1. assign V380968 = V523913. assign V460403 = V057002 + 1. assign V955793 = V489993 + 1. assign V861621 = V239165 + 1. assign V523913 = V489993 - 1. assign V512119 = V617006 - 1. assign V170071 = V519570 + 1. assign V982469 = V137430 + 1. assign V906860 = V654301. assign V695578 = V825294 - 1. assign V331580 = V489993 - 1. assign V625781 = V191573 + 1. assign V038961 = V463741 - 1. assign V148745 = V523201 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V137430 = V696288. assign V931975 = V929300 + 1. assign V770761 = 10. assign V828082 = V906860. assign V308778 = V201132. assign V093597 = V291441 - 1. assign V091539 = V308778 - 1. assign V109387 = V654301 + 1. assign V786175 = V131098. assign V674398 = V884536 - 1. assign V489993 = V929300. assign V191573 = V879516 + 1. assign V653755 = V331580. assign V019741 = V137430. assign V291441 = V523913 + 1. assign V548521 = V523913 - 1. assign V057002 = V201132 + 1. assign V112647 = V523913 + 1. assign V845424 = V523201 + 1. assign V997685 = V201132 - 1. assign V118672 = V548521. assign V076150 = V440422 - 1. assign V519570 = V929300. assign V617006 = V879516. assign V495402 = V653755 - 1. assign V879516 = V380968 - 1. assign V239165 = V879516 + 1. assign V717174 = V091539. assign V848198 = V845424. assign V860698 = V148745 - 1. assign V929300 = V523201 + 1. assign V440422 = V822793 + 1. assign V822793 = V523201 - 1. assign V731773 = V617006 - 1. assign V717795 = V519570 + 1. assign V884536 = V696288 - 1. assign V201132 = V112545. assign V616215 = V734843 - 1. assign V678515 = V109387. assign V093263 = V331580 - 1. assign V819568 = V770761 - 1. assign V628392 = V731773 + 1. assign V521589 = V848198 + 1. assign V857537 = V653755. assign V171896 = V038961 + 1. assign V267824 = V210735. assign V669003 = V118672 - 1. assign V463741 = V057002 + 1. assign V614754 = V523201. assign V915286 = V440422 + 1. assign V716441 = V076150. assign V407245 = V489993. assign V654301 = V201132 - 1. assign V555771 = V982469 + 1. assign V696288 = V523201. assign V494824 = V057002. assign V385918 = V424303 + 1. assign V030918 = V955793 - 1. assign V734843 = V822793 - 1. assign V644908 = V828082. assign V210735 = V716441 + 1. assign V102064 = V347436 - 1. assign V508206 = V822793 + 1. assign V870691 = V674398 - 1. assign V131098 = V091539 - 1. assign V853416 = V548521 + 1. assign V112545 = V929300 + 1. assign V347436 = V463741. assign V825294 = V380968 + 1. assign V056114 = V171896 - 1. assign V163541 = V825294 + 1. assign V424303 = V929300 - 1. assign V380968 = V523913. assign V460403 = V057002 + 1. assign V955793 = V489993 + 1. assign V861621 = V239165 + 1. assign V523913 = V489993 - 1. assign V512119 = V617006 - 1. assign V170071 = V519570 + 1. assign V982469 = V137430 + 1. assign V906860 = V654301. assign V695578 = V825294 - 1. assign V331580 = V489993 - 1. assign V625781 = V191573 + 1. assign V038961 = V463741 - 1. assign V148745 = V523201 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV770761 = 10;\n\nFrom these direct assignment(s), we have: \nV819568 = V770761 - 1 = 10 - 1 =9;\nNo other variables can be derived from V819568;\nNo other variables can be derived from V770761;\n\nNow we have done all the calculations. Derived variables are:\nV770761 = 10;\nV819568 = 9;\n\nNow we have finished this problem. ANSWER:\nV770761\n", "role": "assistant" } ]

[ "V053958", "V196873" ]

[ { "content": "<context>\nassign V608954 = V488282 + 1. assign V647603 = V604161 - 1. assign V126201 = V879956 - 1. assign V544132 = V818553. assign V750636 = V443665 - 1. assign V191276 = V930987 + 1. assign V913196 = V575008 + 1. assign V565417 = V191217. assign V560875 = V617347 - 1. assign V930987 = V270653 + 1. assign V812332 = V968114. assign V768547 = V560875 - 1. assign V120181 = V532946 + 1. assign V280271 = V191217 - 1. assign V196873 = V053958. assign V033594 = V191276 - 1. assign V053958 = 8. assign V649893 = V760156. assign V646501 = V270653 + 1. assign V760156 = V565417 + 1. assign V822006 = V608954. assign V176934 = V191276 - 1. assign V591222 = V612209 - 1. assign V647390 = V898507 + 1. assign V481190 = V176934 - 1. assign V080013 = V502857 + 1. assign V813019 = V191276. assign V180298 = V968114. assign V978034 = V913196 + 1. assign V545865 = V930987 + 1. assign V980198 = V565417 - 1. assign V518244 = V481190 - 1. assign V604457 = V591222 + 1. assign V251284 = V080753 + 1. assign V191217 = V532946 - 1. assign V488282 = V120181. assign V387175 = V054071 + 1. assign V383759 = V050126 - 1. assign V054071 = V120181 + 1. assign V944996 = V199646 + 1. assign V050126 = V813019. assign V048008 = V120181. assign V610836 = V191276 - 1. assign V080753 = V608954 + 1. assign V669679 = V322736 - 1. assign V612123 = V481190. assign V519540 = V908708 - 1. assign V604161 = V827590. assign V199646 = V813019 + 1. assign V981082 = V270653 - 1. assign V020489 = V608954. assign V642989 = V080013 - 1. assign V446116 = V066901 - 1. assign V062591 = V827590. assign V452671 = V732111. assign V443665 = V981082. assign V647509 = V647390 + 1. assign V617347 = V080013 - 1. assign V575008 = V191217 + 1. assign V502857 = V827590 + 1. assign V270653 = V532946. assign V168403 = V481190 - 1. assign V827590 = V532946 - 1. assign V165899 = V937340. assign V778404 = V176934. assign V818553 = V481190 + 1. assign V732111 = V322736 + 1. assign V968114 = V930987. assign V737506 = V760156 + 1. assign V612209 = V191276 + 1. assign V578646 = V617347. assign V853187 = V191217 + 1. assign V322736 = V602594 + 1. assign V898507 = V827590 + 1. assign V937340 = V488282 - 1. assign V066901 = V280271. assign V185126 = V560875. assign V482326 = V930987 + 1. assign V257316 = V980198. assign V908708 = V642989 - 1. assign V480964 = V591222 + 1. assign V382292 = V383759 - 1. assign V307971 = V185126. assign V649600 = V813019 + 1. assign V602594 = V980198 - 1. assign V879956 = V980198.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V608954 = V488282 + 1. assign V647603 = V604161 - 1. assign V126201 = V879956 - 1. assign V544132 = V818553. assign V750636 = V443665 - 1. assign V191276 = V930987 + 1. assign V913196 = V575008 + 1. assign V565417 = V191217. assign V560875 = V617347 - 1. assign V930987 = V270653 + 1. assign V812332 = V968114. assign V768547 = V560875 - 1. assign V120181 = V532946 + 1. assign V280271 = V191217 - 1. assign V196873 = V053958. assign V033594 = V191276 - 1. assign V053958 = 8. assign V649893 = V760156. assign V646501 = V270653 + 1. assign V760156 = V565417 + 1. assign V822006 = V608954. assign V176934 = V191276 - 1. assign V591222 = V612209 - 1. assign V647390 = V898507 + 1. assign V481190 = V176934 - 1. assign V080013 = V502857 + 1. assign V813019 = V191276. assign V180298 = V968114. assign V978034 = V913196 + 1. assign V545865 = V930987 + 1. assign V980198 = V565417 - 1. assign V518244 = V481190 - 1. assign V604457 = V591222 + 1. assign V251284 = V080753 + 1. assign V191217 = V532946 - 1. assign V488282 = V120181. assign V387175 = V054071 + 1. assign V383759 = V050126 - 1. assign V054071 = V120181 + 1. assign V944996 = V199646 + 1. assign V050126 = V813019. assign V048008 = V120181. assign V610836 = V191276 - 1. assign V080753 = V608954 + 1. assign V669679 = V322736 - 1. assign V612123 = V481190. assign V519540 = V908708 - 1. assign V604161 = V827590. assign V199646 = V813019 + 1. assign V981082 = V270653 - 1. assign V020489 = V608954. assign V642989 = V080013 - 1. assign V446116 = V066901 - 1. assign V062591 = V827590. assign V452671 = V732111. assign V443665 = V981082. assign V647509 = V647390 + 1. assign V617347 = V080013 - 1. assign V575008 = V191217 + 1. assign V502857 = V827590 + 1. assign V270653 = V532946. assign V168403 = V481190 - 1. assign V827590 = V532946 - 1. assign V165899 = V937340. assign V778404 = V176934. assign V818553 = V481190 + 1. assign V732111 = V322736 + 1. assign V968114 = V930987. assign V737506 = V760156 + 1. assign V612209 = V191276 + 1. assign V578646 = V617347. assign V853187 = V191217 + 1. assign V322736 = V602594 + 1. assign V898507 = V827590 + 1. assign V937340 = V488282 - 1. assign V066901 = V280271. assign V185126 = V560875. assign V482326 = V930987 + 1. assign V257316 = V980198. assign V908708 = V642989 - 1. assign V480964 = V591222 + 1. assign V382292 = V383759 - 1. assign V307971 = V185126. assign V649600 = V813019 + 1. assign V602594 = V980198 - 1. assign V879956 = V980198.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV053958 = 8;\n\nFrom these direct assignment(s), we have: \nV196873 = V053958 = 8;\nNo other variables can be derived from V196873;\nNo other variables can be derived from V053958;\n\nNow we have done all the calculations. Derived variables are:\nV053958 = 8;\nV196873 = 8;\n\nNow we have finished this problem. ANSWER:\nV053958, V196873\n", "role": "assistant" } ]

[ "V604940" ]

[ { "content": "<context>\nassign V781261 = V141778 - 1. assign V858086 = V334676 + 1. assign V671560 = V765173. assign V519796 = V262582 - 1. assign V211466 = V049240 - 1. assign V705128 = V399993 + 1. assign V944764 = V904708. assign V696666 = V639378 + 1. assign V698792 = V705128 - 1. assign V001249 = V858086. assign V779946 = V672819 - 1. assign V386833 = V639378 + 1. assign V672819 = V399993 + 1. assign V399993 = V561828 + 1. assign V049240 = V656878 - 1. assign V279202 = V131035. assign V468636 = V187012 - 1. assign V762465 = V741571. assign V604940 = V322600 + 1. assign V364221 = V671560. assign V000369 = V090137 - 1. assign V765173 = V561828. assign V736336 = V904708 + 1. assign V141778 = V779946 + 1. assign V694183 = V705128 - 1. assign V279437 = V944764 - 1. assign V090137 = V639378. assign V639378 = V399993. assign V165152 = V736336. assign V895589 = V765173 - 1. assign V484010 = V316370 + 1. assign V386209 = V639378. assign V334676 = V928766. assign V395500 = V374028 + 1. assign V003424 = V904708 + 1. assign V256863 = V399993. assign V904708 = V939242. assign V868303 = V561828. assign V281532 = V770848. assign V800676 = V364221 - 1. assign V052941 = V537918 + 1. assign V771433 = V694183 + 1. assign V741571 = V003424 - 1. assign V678813 = V959387 - 1. assign V755878 = V399993 + 1. assign V005941 = V939242 - 1. assign V621397 = V464357 - 1. assign V262582 = V364221 - 1. assign V310013 = V464357 - 1. assign V187012 = V003424 + 1. assign V928766 = V803334 + 1. assign V336146 = V694183 - 1. assign V619220 = V696666 + 1. assign V871354 = V803334. assign V939242 = V803334 + 1. assign V330201 = V256280 + 1. assign V292004 = V672819. assign V267818 = V399993. assign V838608 = V959387 + 1. assign V256280 = V256863 + 1. assign V762723 = V765173. assign V959387 = V858086 - 1. assign V685804 = V131035. assign V333436 = V256863 + 1. assign V770848 = V464357 - 1. assign V515653 = V944764. assign V425934 = V003424. assign V004799 = V705128 + 1. assign V655887 = V871354 + 1. assign V464357 = V755878. assign V922774 = V762723 - 1. assign V374028 = V544316. assign V656878 = V561828 + 1. assign V260347 = V468636 + 1. assign V544316 = V858086 + 1. assign V131035 = V762723. assign V071811 = V922774 + 1. assign V123877 = V052941 + 1. assign V171385 = V944764 - 1. assign V537918 = V765173 + 1. assign V316370 = V871354 + 1. assign V561828 = V803334 - 1. assign V322600 = 6. assign V013156 = V781261. assign V995019 = V090137 + 1. assign V564824 = V698792 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V781261 = V141778 - 1. assign V858086 = V334676 + 1. assign V671560 = V765173. assign V519796 = V262582 - 1. assign V211466 = V049240 - 1. assign V705128 = V399993 + 1. assign V944764 = V904708. assign V696666 = V639378 + 1. assign V698792 = V705128 - 1. assign V001249 = V858086. assign V779946 = V672819 - 1. assign V386833 = V639378 + 1. assign V672819 = V399993 + 1. assign V399993 = V561828 + 1. assign V049240 = V656878 - 1. assign V279202 = V131035. assign V468636 = V187012 - 1. assign V762465 = V741571. assign V604940 = V322600 + 1. assign V364221 = V671560. assign V000369 = V090137 - 1. assign V765173 = V561828. assign V736336 = V904708 + 1. assign V141778 = V779946 + 1. assign V694183 = V705128 - 1. assign V279437 = V944764 - 1. assign V090137 = V639378. assign V639378 = V399993. assign V165152 = V736336. assign V895589 = V765173 - 1. assign V484010 = V316370 + 1. assign V386209 = V639378. assign V334676 = V928766. assign V395500 = V374028 + 1. assign V003424 = V904708 + 1. assign V256863 = V399993. assign V904708 = V939242. assign V868303 = V561828. assign V281532 = V770848. assign V800676 = V364221 - 1. assign V052941 = V537918 + 1. assign V771433 = V694183 + 1. assign V741571 = V003424 - 1. assign V678813 = V959387 - 1. assign V755878 = V399993 + 1. assign V005941 = V939242 - 1. assign V621397 = V464357 - 1. assign V262582 = V364221 - 1. assign V310013 = V464357 - 1. assign V187012 = V003424 + 1. assign V928766 = V803334 + 1. assign V336146 = V694183 - 1. assign V619220 = V696666 + 1. assign V871354 = V803334. assign V939242 = V803334 + 1. assign V330201 = V256280 + 1. assign V292004 = V672819. assign V267818 = V399993. assign V838608 = V959387 + 1. assign V256280 = V256863 + 1. assign V762723 = V765173. assign V959387 = V858086 - 1. assign V685804 = V131035. assign V333436 = V256863 + 1. assign V770848 = V464357 - 1. assign V515653 = V944764. assign V425934 = V003424. assign V004799 = V705128 + 1. assign V655887 = V871354 + 1. assign V464357 = V755878. assign V922774 = V762723 - 1. assign V374028 = V544316. assign V656878 = V561828 + 1. assign V260347 = V468636 + 1. assign V544316 = V858086 + 1. assign V131035 = V762723. assign V071811 = V922774 + 1. assign V123877 = V052941 + 1. assign V171385 = V944764 - 1. assign V537918 = V765173 + 1. assign V316370 = V871354 + 1. assign V561828 = V803334 - 1. assign V322600 = 6. assign V013156 = V781261. assign V995019 = V090137 + 1. assign V564824 = V698792 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV322600 = 6;\n\nFrom these direct assignment(s), we have: \nV604940 = V322600 + 1 = 6 + 1 =7;\nNo other variables can be derived from V604940;\nNo other variables can be derived from V322600;\n\nNow we have done all the calculations. Derived variables are:\nV322600 = 6;\nV604940 = 7;\n\nNow we have finished this problem. ANSWER:\nV604940\n", "role": "assistant" } ]

[ "V777813" ]

[ { "content": "<context>\nassign V123243 = V655598 - 1. assign V584593 = V573584 + 1. assign V106137 = V119776 - 1. assign V768478 = V731125. assign V655598 = V080278 + 1. assign V513425 = V777813 - 1. assign V022158 = V250103. assign V246278 = V392650 - 1. assign V561597 = V717427 - 1. assign V877945 = V210611. assign V978659 = V382477 + 1. assign V603003 = V007261 - 1. assign V573584 = V080278. assign V872084 = V178292 - 1. assign V251748 = V080278. assign V097350 = V453181 - 1. assign V957838 = V266785. assign V747169 = V604539 + 1. assign V730759 = V717427 + 1. assign V592747 = V584593 + 1. assign V185841 = V618870. assign V618870 = V392650 - 1. assign V379208 = V603313 - 1. assign V801735 = V414214. assign V604539 = V459411 - 1. assign V281043 = V584593 - 1. assign V003975 = V022158 + 1. assign V604624 = V808105. assign V459411 = V119776 + 1. assign V861489 = V007261 - 1. assign V838480 = V871337 + 1. assign V069837 = V872084 + 1. assign V768483 = V565559. assign V382477 = V178292 - 1. assign V168620 = V728137. assign V477997 = V007261 + 1. assign V007261 = V584593 - 1. assign V777813 = 7. assign V210611 = V414214 - 1. assign V997556 = V281043 + 1. assign V915813 = V573584. assign V358414 = V106137 - 1. assign V871337 = V655598 + 1. assign V392650 = V097350 + 1. assign V246373 = V717427. assign V266785 = V250103 - 1. assign V779785 = V730759 - 1. assign V113469 = V874789. assign V517829 = V584593 + 1. assign V119776 = V251748 - 1. assign V494684 = V686214 - 1. assign V792454 = V178987. assign V414214 = V080278 - 1. assign V820636 = V178292. assign V250103 = V080278 - 1. assign V728137 = V106137 + 1. assign V717427 = V123243 - 1. assign V262858 = V655598 - 1. assign V723345 = V382477 + 1. assign V212403 = V872084. assign V792098 = V592747 + 1. assign V314600 = V603313. assign V731125 = V022158 + 1. assign V303829 = V119776. assign V453181 = V022158 + 1. assign V413127 = V022158 + 1. assign V372219 = V022158 + 1. assign V178292 = V250103 + 1. assign V481390 = V717427 + 1. assign V659225 = V655598. assign V897059 = V801735 + 1. assign V874789 = V731125 - 1. assign V686214 = V203339. assign V143239 = V007261 - 1. assign V716481 = V603003. assign V808105 = V414214 - 1. assign V547230 = V143239 + 1. assign V920845 = V097350. assign V178987 = V250103 - 1. assign V565559 = V382477. assign V203339 = V178292 + 1. assign V603313 = V106137 - 1. assign V103978 = V604624. assign V833229 = V178292 + 1. assign V047410 = V003975 + 1. assign V396980 = V584593.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V123243 = V655598 - 1. assign V584593 = V573584 + 1. assign V106137 = V119776 - 1. assign V768478 = V731125. assign V655598 = V080278 + 1. assign V513425 = V777813 - 1. assign V022158 = V250103. assign V246278 = V392650 - 1. assign V561597 = V717427 - 1. assign V877945 = V210611. assign V978659 = V382477 + 1. assign V603003 = V007261 - 1. assign V573584 = V080278. assign V872084 = V178292 - 1. assign V251748 = V080278. assign V097350 = V453181 - 1. assign V957838 = V266785. assign V747169 = V604539 + 1. assign V730759 = V717427 + 1. assign V592747 = V584593 + 1. assign V185841 = V618870. assign V618870 = V392650 - 1. assign V379208 = V603313 - 1. assign V801735 = V414214. assign V604539 = V459411 - 1. assign V281043 = V584593 - 1. assign V003975 = V022158 + 1. assign V604624 = V808105. assign V459411 = V119776 + 1. assign V861489 = V007261 - 1. assign V838480 = V871337 + 1. assign V069837 = V872084 + 1. assign V768483 = V565559. assign V382477 = V178292 - 1. assign V168620 = V728137. assign V477997 = V007261 + 1. assign V007261 = V584593 - 1. assign V777813 = 7. assign V210611 = V414214 - 1. assign V997556 = V281043 + 1. assign V915813 = V573584. assign V358414 = V106137 - 1. assign V871337 = V655598 + 1. assign V392650 = V097350 + 1. assign V246373 = V717427. assign V266785 = V250103 - 1. assign V779785 = V730759 - 1. assign V113469 = V874789. assign V517829 = V584593 + 1. assign V119776 = V251748 - 1. assign V494684 = V686214 - 1. assign V792454 = V178987. assign V414214 = V080278 - 1. assign V820636 = V178292. assign V250103 = V080278 - 1. assign V728137 = V106137 + 1. assign V717427 = V123243 - 1. assign V262858 = V655598 - 1. assign V723345 = V382477 + 1. assign V212403 = V872084. assign V792098 = V592747 + 1. assign V314600 = V603313. assign V731125 = V022158 + 1. assign V303829 = V119776. assign V453181 = V022158 + 1. assign V413127 = V022158 + 1. assign V372219 = V022158 + 1. assign V178292 = V250103 + 1. assign V481390 = V717427 + 1. assign V659225 = V655598. assign V897059 = V801735 + 1. assign V874789 = V731125 - 1. assign V686214 = V203339. assign V143239 = V007261 - 1. assign V716481 = V603003. assign V808105 = V414214 - 1. assign V547230 = V143239 + 1. assign V920845 = V097350. assign V178987 = V250103 - 1. assign V565559 = V382477. assign V203339 = V178292 + 1. assign V603313 = V106137 - 1. assign V103978 = V604624. assign V833229 = V178292 + 1. assign V047410 = V003975 + 1. assign V396980 = V584593.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV777813 = 7;\n\nFrom these direct assignment(s), we have: \nV513425 = V777813 - 1 = 7 - 1 =6;\nNo other variables can be derived from V513425;\nNo other variables can be derived from V777813;\n\nNow we have done all the calculations. Derived variables are:\nV777813 = 7;\nV513425 = 6;\n\nNow we have finished this problem. ANSWER:\nV777813\n", "role": "assistant" } ]

[ "V608496", "V074281" ]

[ { "content": "<context>\nassign V845752 = V190553. assign V110259 = V366121. assign V731548 = V726274. assign V137266 = V506921 + 1. assign V275545 = V570334 - 1. assign V112739 = V137266 + 1. assign V641113 = V966736 + 1. assign V375478 = V758707 + 1. assign V699341 = V923928 - 1. assign V392545 = V878389. assign V531417 = V341595 - 1. assign V756954 = V548026. assign V878389 = V768634. assign V684474 = V931342. assign V769625 = V341595. assign V864174 = V094990. assign V336903 = V769625 - 1. assign V627973 = V791790 - 1. assign V668495 = V931342. assign V366121 = V096948. assign V562898 = V110259 - 1. assign V161910 = V570334 + 1. assign V635699 = V531417 - 1. assign V341595 = V161910 + 1. assign V190553 = V392545 + 1. assign V111779 = V355450. assign V416608 = V725248 + 1. assign V114534 = V392545 - 1. assign V688428 = V111779 - 1. assign V548026 = V364594 - 1. assign V758707 = V570334 + 1. assign V634029 = V145951 + 1. assign V364594 = V111779 + 1. assign V420478 = V627973 + 1. assign V025108 = V933998. assign V608496 = 6. assign V084930 = V145951 + 1. assign V924473 = V731548 - 1. assign V725248 = V923928 - 1. assign V180597 = V161910 + 1. assign V413594 = V137266. assign V807383 = V531417 + 1. assign V175282 = V341595 - 1. assign V966736 = V726274. assign V439769 = V864174. assign V307947 = V416608 + 1. assign V919853 = V878389. assign V107552 = V963598 + 1. assign V506876 = V111779 + 1. assign V963598 = V731548 + 1. assign V503222 = V366121 + 1. assign V516006 = V307947. assign V690619 = V575494 + 1. assign V636157 = V416608. assign V347311 = V731548 - 1. assign V931342 = V688428. assign V052604 = V480978 + 1. assign V767115 = V627973. assign V923928 = V570334 + 1. assign V034562 = V506876. assign V074281 = V608496. assign V954202 = V564144 - 1. assign V978733 = V688428. assign V564144 = V768634 + 1. assign V308629 = V636157 + 1. assign V919053 = V688428. assign V545094 = V791790. assign V204099 = V636157. assign V477851 = V684474 + 1. assign V570334 = V768634 - 1. assign V712889 = V758707 + 1. assign V355450 = V725248 - 1. assign V096948 = V341595 + 1. assign V768634 = V227661 + 1. assign V094990 = V570334. assign V791790 = V341595 + 1. assign V450200 = V084930. assign V189277 = V111779 - 1. assign V933998 = V688428 - 1. assign V726274 = V923928. assign V506921 = V924473 + 1. assign V575442 = V923928 + 1. assign V758457 = V161910. assign V480978 = V545094. assign V575494 = V924473 - 1. assign V145951 = V355450 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V845752 = V190553. assign V110259 = V366121. assign V731548 = V726274. assign V137266 = V506921 + 1. assign V275545 = V570334 - 1. assign V112739 = V137266 + 1. assign V641113 = V966736 + 1. assign V375478 = V758707 + 1. assign V699341 = V923928 - 1. assign V392545 = V878389. assign V531417 = V341595 - 1. assign V756954 = V548026. assign V878389 = V768634. assign V684474 = V931342. assign V769625 = V341595. assign V864174 = V094990. assign V336903 = V769625 - 1. assign V627973 = V791790 - 1. assign V668495 = V931342. assign V366121 = V096948. assign V562898 = V110259 - 1. assign V161910 = V570334 + 1. assign V635699 = V531417 - 1. assign V341595 = V161910 + 1. assign V190553 = V392545 + 1. assign V111779 = V355450. assign V416608 = V725248 + 1. assign V114534 = V392545 - 1. assign V688428 = V111779 - 1. assign V548026 = V364594 - 1. assign V758707 = V570334 + 1. assign V634029 = V145951 + 1. assign V364594 = V111779 + 1. assign V420478 = V627973 + 1. assign V025108 = V933998. assign V608496 = 6. assign V084930 = V145951 + 1. assign V924473 = V731548 - 1. assign V725248 = V923928 - 1. assign V180597 = V161910 + 1. assign V413594 = V137266. assign V807383 = V531417 + 1. assign V175282 = V341595 - 1. assign V966736 = V726274. assign V439769 = V864174. assign V307947 = V416608 + 1. assign V919853 = V878389. assign V107552 = V963598 + 1. assign V506876 = V111779 + 1. assign V963598 = V731548 + 1. assign V503222 = V366121 + 1. assign V516006 = V307947. assign V690619 = V575494 + 1. assign V636157 = V416608. assign V347311 = V731548 - 1. assign V931342 = V688428. assign V052604 = V480978 + 1. assign V767115 = V627973. assign V923928 = V570334 + 1. assign V034562 = V506876. assign V074281 = V608496. assign V954202 = V564144 - 1. assign V978733 = V688428. assign V564144 = V768634 + 1. assign V308629 = V636157 + 1. assign V919053 = V688428. assign V545094 = V791790. assign V204099 = V636157. assign V477851 = V684474 + 1. assign V570334 = V768634 - 1. assign V712889 = V758707 + 1. assign V355450 = V725248 - 1. assign V096948 = V341595 + 1. assign V768634 = V227661 + 1. assign V094990 = V570334. assign V791790 = V341595 + 1. assign V450200 = V084930. assign V189277 = V111779 - 1. assign V933998 = V688428 - 1. assign V726274 = V923928. assign V506921 = V924473 + 1. assign V575442 = V923928 + 1. assign V758457 = V161910. assign V480978 = V545094. assign V575494 = V924473 - 1. assign V145951 = V355450 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV608496 = 6;\n\nFrom these direct assignment(s), we have: \nV074281 = V608496 = 6;\nNo other variables can be derived from V074281;\nNo other variables can be derived from V608496;\n\nNow we have done all the calculations. Derived variables are:\nV608496 = 6;\nV074281 = 6;\n\nNow we have finished this problem. ANSWER:\nV608496, V074281\n", "role": "assistant" } ]

[ "V292339" ]

[ { "content": "<context>\nassign V364579 = V682636 - 1. assign V938711 = V509846. assign V516808 = V682636. assign V606534 = V447121 + 1. assign V876722 = V696338 - 1. assign V509846 = V835611. assign V330021 = V835611. assign V681903 = V849304 - 1. assign V394832 = V932382 - 1. assign V292339 = 3. assign V880766 = V083810 - 1. assign V773605 = V488402 + 1. assign V547521 = V659780. assign V205485 = V818544 - 1. assign V751133 = V682636 + 1. assign V139414 = V657600 + 1. assign V659780 = V870160 + 1. assign V775935 = V876722 - 1. assign V682636 = V958596 + 1. assign V201759 = V870160. assign V922740 = V447121. assign V268288 = V590736 - 1. assign V338430 = V814907 - 1. assign V227979 = V883501 + 1. assign V204579 = V083810. assign V870160 = V590736 - 1. assign V814907 = V478986. assign V432178 = V364579 + 1. assign V211493 = V880766. assign V301393 = V338430 - 1. assign V932382 = V478986 - 1. assign V110150 = V083810. assign V767994 = V062944 - 1. assign V600552 = V958596. assign V835611 = V338430. assign V369829 = V958596 + 1. assign V642527 = V590736 + 1. assign V047019 = V547521 - 1. assign V488402 = V682636 - 1. assign V515903 = V659780 - 1. assign V818544 = V682636. assign V657600 = V932382. assign V593712 = V388797 - 1. assign V294306 = V932382. assign V286009 = V682636 + 1. assign V115156 = V369829. assign V510630 = V593712 - 1. assign V599726 = V292339 - 1. assign V589784 = V932382 + 1. assign V696338 = V330021 + 1. assign V596409 = V330021 - 1. assign V582293 = V274597 - 1. assign V467146 = V201759 - 1. assign V066527 = V547521 + 1. assign V999528 = V153151 - 1. assign V062944 = V338430 + 1. assign V364583 = V076333. assign V561214 = V153151. assign V590736 = V478986 + 1. assign V686722 = V999528. assign V231828 = V682636 - 1. assign V447121 = V515903. assign V083810 = V932382 + 1. assign V076333 = V364579 - 1. assign V330727 = V083810 + 1. assign V345785 = V153151 + 1. assign V116270 = V642527 - 1. assign V958596 = V870160 - 1. assign V715401 = V388797 - 1. assign V114080 = V115156 - 1. assign V127700 = V880766 + 1. assign V286758 = V767994 - 1. assign V460022 = V153151 + 1. assign V643053 = V835611. assign V849304 = V835611 - 1. assign V635331 = V657600. assign V388797 = V814907 + 1. assign V053804 = V643053 - 1. assign V883501 = V110150. assign V993911 = V547521. assign V156841 = V062944. assign V274597 = V999528 + 1. assign V526768 = V083810. assign V153151 = V932382 + 1. assign V460923 = V589784. assign V597665 = V589784 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V364579 = V682636 - 1. assign V938711 = V509846. assign V516808 = V682636. assign V606534 = V447121 + 1. assign V876722 = V696338 - 1. assign V509846 = V835611. assign V330021 = V835611. assign V681903 = V849304 - 1. assign V394832 = V932382 - 1. assign V292339 = 3. assign V880766 = V083810 - 1. assign V773605 = V488402 + 1. assign V547521 = V659780. assign V205485 = V818544 - 1. assign V751133 = V682636 + 1. assign V139414 = V657600 + 1. assign V659780 = V870160 + 1. assign V775935 = V876722 - 1. assign V682636 = V958596 + 1. assign V201759 = V870160. assign V922740 = V447121. assign V268288 = V590736 - 1. assign V338430 = V814907 - 1. assign V227979 = V883501 + 1. assign V204579 = V083810. assign V870160 = V590736 - 1. assign V814907 = V478986. assign V432178 = V364579 + 1. assign V211493 = V880766. assign V301393 = V338430 - 1. assign V932382 = V478986 - 1. assign V110150 = V083810. assign V767994 = V062944 - 1. assign V600552 = V958596. assign V835611 = V338430. assign V369829 = V958596 + 1. assign V642527 = V590736 + 1. assign V047019 = V547521 - 1. assign V488402 = V682636 - 1. assign V515903 = V659780 - 1. assign V818544 = V682636. assign V657600 = V932382. assign V593712 = V388797 - 1. assign V294306 = V932382. assign V286009 = V682636 + 1. assign V115156 = V369829. assign V510630 = V593712 - 1. assign V599726 = V292339 - 1. assign V589784 = V932382 + 1. assign V696338 = V330021 + 1. assign V596409 = V330021 - 1. assign V582293 = V274597 - 1. assign V467146 = V201759 - 1. assign V066527 = V547521 + 1. assign V999528 = V153151 - 1. assign V062944 = V338430 + 1. assign V364583 = V076333. assign V561214 = V153151. assign V590736 = V478986 + 1. assign V686722 = V999528. assign V231828 = V682636 - 1. assign V447121 = V515903. assign V083810 = V932382 + 1. assign V076333 = V364579 - 1. assign V330727 = V083810 + 1. assign V345785 = V153151 + 1. assign V116270 = V642527 - 1. assign V958596 = V870160 - 1. assign V715401 = V388797 - 1. assign V114080 = V115156 - 1. assign V127700 = V880766 + 1. assign V286758 = V767994 - 1. assign V460022 = V153151 + 1. assign V643053 = V835611. assign V849304 = V835611 - 1. assign V635331 = V657600. assign V388797 = V814907 + 1. assign V053804 = V643053 - 1. assign V883501 = V110150. assign V993911 = V547521. assign V156841 = V062944. assign V274597 = V999528 + 1. assign V526768 = V083810. assign V153151 = V932382 + 1. assign V460923 = V589784. assign V597665 = V589784 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV292339 = 3;\n\nFrom these direct assignment(s), we have: \nV599726 = V292339 - 1 = 3 - 1 =2;\nNo other variables can be derived from V599726;\nNo other variables can be derived from V292339;\n\nNow we have done all the calculations. Derived variables are:\nV292339 = 3;\nV599726 = 2;\n\nNow we have finished this problem. ANSWER:\nV292339\n", "role": "assistant" } ]

[ "V983556", "V092747" ]

[ { "content": "<context>\nassign V080764 = V055779. assign V102500 = V802203 + 1. assign V426725 = V686602 + 1. assign V025505 = V709013 + 1. assign V935971 = V595091. assign V427920 = V375399. assign V408881 = V893040 - 1. assign V858425 = V923055 - 1. assign V324240 = V170276 - 1. assign V413387 = V090935 + 1. assign V604451 = V539489 - 1. assign V664918 = V243256 - 1. assign V893040 = V458360 - 1. assign V544416 = V290019 + 1. assign V835551 = V088803 + 1. assign V852885 = V539489 - 1. assign V304830 = V541357 + 1. assign V667149 = V802203 + 1. assign V090935 = V705540. assign V458360 = V705540 + 1. assign V287682 = V709013. assign V299287 = V835551 + 1. assign V579485 = V544416 - 1. assign V088803 = V686602. assign V100813 = V704998 + 1. assign V802203 = V686602 - 1. assign V891609 = V709013 + 1. assign V736622 = V802203. assign V704998 = V324240. assign V996835 = V667149. assign V104798 = V502154 - 1. assign V297780 = V986229. assign V539489 = V452181. assign V375399 = V795811 - 1. assign V207116 = V452181 + 1. assign V337472 = V621582. assign V265608 = V709013 + 1. assign V407055 = V539489. assign V648097 = V080764. assign V570748 = V452181 - 1. assign V686359 = V090935. assign V986229 = V835551. assign V777777 = V104798 - 1. assign V983556 = 7. assign V055779 = V265608. assign V666874 = V705540 + 1. assign V500352 = V705540 - 1. assign V232271 = V709013 + 1. assign V878928 = V666874 - 1. assign V257786 = V232271 + 1. assign V595091 = V858425 - 1. assign V975048 = V232271 - 1. assign V923055 = V088803. assign V170276 = V893040 + 1. assign V243256 = V709013 + 1. assign V376270 = V249516. assign V470204 = V923055 + 1. assign V795811 = V539489 - 1. assign V249516 = V893040. assign V445233 = V088803 + 1. assign V321429 = V664918 + 1. assign V370268 = V802203. assign V373411 = V923055. assign V222892 = V321429. assign V733857 = V544416. assign V705540 = V686602 - 1. assign V905631 = V705540. assign V327953 = V458360. assign V312542 = V452181. assign V408836 = V426725. assign V771420 = V539489 + 1. assign V941961 = V852885 + 1. assign V496507 = V802203 - 1. assign V709013 = V686602. assign V626065 = V090935 + 1. assign V092747 = V983556. assign V290019 = V458360. assign V906328 = V570748 + 1. assign V621582 = V733857. assign V635271 = V104798 - 1. assign V661720 = V579485 - 1. assign V541357 = V686602 + 1. assign V689175 = V458360 - 1. assign V667111 = V835551 - 1. assign V686602 = V452181 + 1. assign V502154 = V539489 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V080764 = V055779. assign V102500 = V802203 + 1. assign V426725 = V686602 + 1. assign V025505 = V709013 + 1. assign V935971 = V595091. assign V427920 = V375399. assign V408881 = V893040 - 1. assign V858425 = V923055 - 1. assign V324240 = V170276 - 1. assign V413387 = V090935 + 1. assign V604451 = V539489 - 1. assign V664918 = V243256 - 1. assign V893040 = V458360 - 1. assign V544416 = V290019 + 1. assign V835551 = V088803 + 1. assign V852885 = V539489 - 1. assign V304830 = V541357 + 1. assign V667149 = V802203 + 1. assign V090935 = V705540. assign V458360 = V705540 + 1. assign V287682 = V709013. assign V299287 = V835551 + 1. assign V579485 = V544416 - 1. assign V088803 = V686602. assign V100813 = V704998 + 1. assign V802203 = V686602 - 1. assign V891609 = V709013 + 1. assign V736622 = V802203. assign V704998 = V324240. assign V996835 = V667149. assign V104798 = V502154 - 1. assign V297780 = V986229. assign V539489 = V452181. assign V375399 = V795811 - 1. assign V207116 = V452181 + 1. assign V337472 = V621582. assign V265608 = V709013 + 1. assign V407055 = V539489. assign V648097 = V080764. assign V570748 = V452181 - 1. assign V686359 = V090935. assign V986229 = V835551. assign V777777 = V104798 - 1. assign V983556 = 7. assign V055779 = V265608. assign V666874 = V705540 + 1. assign V500352 = V705540 - 1. assign V232271 = V709013 + 1. assign V878928 = V666874 - 1. assign V257786 = V232271 + 1. assign V595091 = V858425 - 1. assign V975048 = V232271 - 1. assign V923055 = V088803. assign V170276 = V893040 + 1. assign V243256 = V709013 + 1. assign V376270 = V249516. assign V470204 = V923055 + 1. assign V795811 = V539489 - 1. assign V249516 = V893040. assign V445233 = V088803 + 1. assign V321429 = V664918 + 1. assign V370268 = V802203. assign V373411 = V923055. assign V222892 = V321429. assign V733857 = V544416. assign V705540 = V686602 - 1. assign V905631 = V705540. assign V327953 = V458360. assign V312542 = V452181. assign V408836 = V426725. assign V771420 = V539489 + 1. assign V941961 = V852885 + 1. assign V496507 = V802203 - 1. assign V709013 = V686602. assign V626065 = V090935 + 1. assign V092747 = V983556. assign V290019 = V458360. assign V906328 = V570748 + 1. assign V621582 = V733857. assign V635271 = V104798 - 1. assign V661720 = V579485 - 1. assign V541357 = V686602 + 1. assign V689175 = V458360 - 1. assign V667111 = V835551 - 1. assign V686602 = V452181 + 1. assign V502154 = V539489 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV983556 = 7;\n\nFrom these direct assignment(s), we have: \nV092747 = V983556 = 7;\nNo other variables can be derived from V092747;\nNo other variables can be derived from V983556;\n\nNow we have done all the calculations. Derived variables are:\nV983556 = 7;\nV092747 = 7;\n\nNow we have finished this problem. ANSWER:\nV983556, V092747\n", "role": "assistant" } ]

[ "V238009" ]

[ { "content": "<context>\nassign V312516 = V871152 - 1. assign V969722 = V312516 + 1. assign V175847 = V431930 - 1. assign V089803 = V272126 - 1. assign V626101 = V752543 + 1. assign V300556 = V272126. assign V940210 = V097207 + 1. assign V619120 = V600180. assign V093893 = V312516 - 1. assign V994058 = V808886 - 1. assign V036036 = V416757. assign V273364 = V075802. assign V097207 = V312516. assign V558324 = V554830 - 1. assign V315580 = V282602 + 1. assign V811928 = V935938 - 1. assign V282602 = V618551. assign V075802 = V811928. assign V555027 = V780471 + 1. assign V471691 = V358442 + 1. assign V818634 = V536773. assign V992346 = V696874 - 1. assign V780471 = V185644. assign V020114 = V619120. assign V833316 = V508084 + 1. assign V935938 = V748828. assign V852848 = 2. assign V752543 = V775149. assign V790255 = V600180 - 1. assign V650972 = V871152 + 1. assign V826509 = V239850. assign V726966 = V272126 + 1. assign V801830 = V811928. assign V211450 = V300556. assign V439804 = V185644. assign V185644 = V272126. assign V619076 = V663344 + 1. assign V808886 = V600180 + 1. assign V090372 = V600180. assign V463152 = V312516. assign V663344 = V650972 + 1. assign V358442 = V696874 - 1. assign V239310 = V734194. assign V047667 = V726966 - 1. assign V747157 = V508084 - 1. assign V769194 = V404550 + 1. assign V677596 = V324527 + 1. assign V110427 = V185644. assign V324527 = V075802 - 1. assign V947656 = V413688 - 1. assign V404550 = V075802 + 1. assign V483867 = V439804 + 1. assign V600180 = V696874 - 1. assign V600421 = V529919 + 1. assign V871152 = V726966. assign V758580 = V748199 + 1. assign V748199 = V748828 - 1. assign V696874 = V272126 - 1. assign V618551 = V935938 + 1. assign V748828 = V508084. assign V540174 = V555027. assign V565938 = V818634. assign V508084 = V684855 - 1. assign V752320 = V811928. assign V358819 = V871152. assign V554830 = V684855 + 1. assign V458255 = V801830. assign V509048 = V047667 - 1. assign V603743 = V747157 + 1. assign V053820 = V075802 - 1. assign V183682 = V808886. assign V776826 = V935938. assign V536773 = V439804 - 1. assign V734194 = V618551 - 1. assign V238009 = V852848 - 1. assign V413688 = V259286 + 1. assign V431930 = V801830. assign V416757 = V871152 - 1. assign V684855 = V726966 - 1. assign V529919 = V992346 + 1. assign V434917 = V282602 + 1. assign V259286 = V282602 + 1. assign V239850 = V992346 - 1. assign V775149 = V992346 - 1. assign V318355 = V183682 + 1. assign V448294 = V696874.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V312516 = V871152 - 1. assign V969722 = V312516 + 1. assign V175847 = V431930 - 1. assign V089803 = V272126 - 1. assign V626101 = V752543 + 1. assign V300556 = V272126. assign V940210 = V097207 + 1. assign V619120 = V600180. assign V093893 = V312516 - 1. assign V994058 = V808886 - 1. assign V036036 = V416757. assign V273364 = V075802. assign V097207 = V312516. assign V558324 = V554830 - 1. assign V315580 = V282602 + 1. assign V811928 = V935938 - 1. assign V282602 = V618551. assign V075802 = V811928. assign V555027 = V780471 + 1. assign V471691 = V358442 + 1. assign V818634 = V536773. assign V992346 = V696874 - 1. assign V780471 = V185644. assign V020114 = V619120. assign V833316 = V508084 + 1. assign V935938 = V748828. assign V852848 = 2. assign V752543 = V775149. assign V790255 = V600180 - 1. assign V650972 = V871152 + 1. assign V826509 = V239850. assign V726966 = V272126 + 1. assign V801830 = V811928. assign V211450 = V300556. assign V439804 = V185644. assign V185644 = V272126. assign V619076 = V663344 + 1. assign V808886 = V600180 + 1. assign V090372 = V600180. assign V463152 = V312516. assign V663344 = V650972 + 1. assign V358442 = V696874 - 1. assign V239310 = V734194. assign V047667 = V726966 - 1. assign V747157 = V508084 - 1. assign V769194 = V404550 + 1. assign V677596 = V324527 + 1. assign V110427 = V185644. assign V324527 = V075802 - 1. assign V947656 = V413688 - 1. assign V404550 = V075802 + 1. assign V483867 = V439804 + 1. assign V600180 = V696874 - 1. assign V600421 = V529919 + 1. assign V871152 = V726966. assign V758580 = V748199 + 1. assign V748199 = V748828 - 1. assign V696874 = V272126 - 1. assign V618551 = V935938 + 1. assign V748828 = V508084. assign V540174 = V555027. assign V565938 = V818634. assign V508084 = V684855 - 1. assign V752320 = V811928. assign V358819 = V871152. assign V554830 = V684855 + 1. assign V458255 = V801830. assign V509048 = V047667 - 1. assign V603743 = V747157 + 1. assign V053820 = V075802 - 1. assign V183682 = V808886. assign V776826 = V935938. assign V536773 = V439804 - 1. assign V734194 = V618551 - 1. assign V238009 = V852848 - 1. assign V413688 = V259286 + 1. assign V431930 = V801830. assign V416757 = V871152 - 1. assign V684855 = V726966 - 1. assign V529919 = V992346 + 1. assign V434917 = V282602 + 1. assign V259286 = V282602 + 1. assign V239850 = V992346 - 1. assign V775149 = V992346 - 1. assign V318355 = V183682 + 1. assign V448294 = V696874.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV852848 = 2;\n\nFrom these direct assignment(s), we have: \nV238009 = V852848 - 1 = 2 - 1 =1;\nNo other variables can be derived from V238009;\nNo other variables can be derived from V852848;\n\nNow we have done all the calculations. Derived variables are:\nV852848 = 2;\nV238009 = 1;\n\nNow we have finished this problem. ANSWER:\nV238009\n", "role": "assistant" } ]

[ "V385416" ]

[ { "content": "<context>\nassign V460610 = V329662. assign V371931 = V694240 - 1. assign V767721 = V349942 + 1. assign V561349 = V894351 - 1. assign V349942 = V492525 - 1. assign V187742 = V224005 + 1. assign V074777 = V492525 + 1. assign V802875 = V227446. assign V697264 = V361941 - 1. assign V290763 = V694240. assign V517380 = V337118 + 1. assign V690953 = V528678 - 1. assign V025069 = V237389 + 1. assign V990726 = V076856. assign V154244 = V897720 - 1. assign V029954 = V537880 - 1. assign V245833 = V244264 - 1. assign V888784 = V329662. assign V212257 = V293538 - 1. assign V189938 = V227446 + 1. assign V237389 = V303413 + 1. assign V578139 = V029954 - 1. assign V415104 = V897720. assign V491253 = V990926 - 1. assign V990926 = V363791 + 1. assign V385416 = V063258 - 1. assign V303413 = V492525 - 1. assign V076856 = V537880 - 1. assign V812798 = V448174. assign V731071 = V218615. assign V968695 = V990726. assign V894351 = V682594. assign V122582 = V767721 + 1. assign V399764 = V448174. assign V751601 = V791188 - 1. assign V218615 = V537880 - 1. assign V194083 = V076856. assign V769857 = V212624 - 1. assign V194184 = V537880 - 1. assign V224005 = V194083 + 1. assign V897720 = V194083. assign V015421 = V363791 - 1. assign V800484 = V767721. assign V227446 = V224005 - 1. assign V492525 = V247747 - 1. assign V171875 = V731071 - 1. assign V063258 = 0. assign V240257 = V029954. assign V448174 = V492525. assign V380127 = V682594. assign V254323 = V187742. assign V791188 = V187742 - 1. assign V245691 = V897720. assign V289816 = V245691 - 1. assign V888209 = V245691 - 1. assign V874731 = V194083 + 1. assign V337118 = V193445 + 1. assign V244264 = V990726. assign V582388 = V415104. assign V496915 = V171875 + 1. assign V293538 = V218615. assign V528678 = V219558 - 1. assign V388826 = V194980. assign V219558 = V290763 - 1. assign V361941 = V561349 + 1. assign V095021 = V990926 + 1. assign V240141 = V193445. assign V282803 = V448174 + 1. assign V194980 = V194083 - 1. assign V193445 = V218615 + 1. assign V682594 = V731071 - 1. assign V537880 = V247747. assign V069282 = V492525 - 1. assign V800153 = V448174 + 1. assign V646075 = V812798. assign V019993 = V990726 + 1. assign V618064 = V874731 - 1. assign V694240 = V194083. assign V329662 = V731071 - 1. assign V255267 = V492525 + 1. assign V149682 = V282803. assign V363791 = V537880 - 1. assign V961516 = V371931 + 1. assign V212624 = V990926 + 1. assign V858801 = V212624 + 1. assign V580175 = V227446 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V460610 = V329662. assign V371931 = V694240 - 1. assign V767721 = V349942 + 1. assign V561349 = V894351 - 1. assign V349942 = V492525 - 1. assign V187742 = V224005 + 1. assign V074777 = V492525 + 1. assign V802875 = V227446. assign V697264 = V361941 - 1. assign V290763 = V694240. assign V517380 = V337118 + 1. assign V690953 = V528678 - 1. assign V025069 = V237389 + 1. assign V990726 = V076856. assign V154244 = V897720 - 1. assign V029954 = V537880 - 1. assign V245833 = V244264 - 1. assign V888784 = V329662. assign V212257 = V293538 - 1. assign V189938 = V227446 + 1. assign V237389 = V303413 + 1. assign V578139 = V029954 - 1. assign V415104 = V897720. assign V491253 = V990926 - 1. assign V990926 = V363791 + 1. assign V385416 = V063258 - 1. assign V303413 = V492525 - 1. assign V076856 = V537880 - 1. assign V812798 = V448174. assign V731071 = V218615. assign V968695 = V990726. assign V894351 = V682594. assign V122582 = V767721 + 1. assign V399764 = V448174. assign V751601 = V791188 - 1. assign V218615 = V537880 - 1. assign V194083 = V076856. assign V769857 = V212624 - 1. assign V194184 = V537880 - 1. assign V224005 = V194083 + 1. assign V897720 = V194083. assign V015421 = V363791 - 1. assign V800484 = V767721. assign V227446 = V224005 - 1. assign V492525 = V247747 - 1. assign V171875 = V731071 - 1. assign V063258 = 0. assign V240257 = V029954. assign V448174 = V492525. assign V380127 = V682594. assign V254323 = V187742. assign V791188 = V187742 - 1. assign V245691 = V897720. assign V289816 = V245691 - 1. assign V888209 = V245691 - 1. assign V874731 = V194083 + 1. assign V337118 = V193445 + 1. assign V244264 = V990726. assign V582388 = V415104. assign V496915 = V171875 + 1. assign V293538 = V218615. assign V528678 = V219558 - 1. assign V388826 = V194980. assign V219558 = V290763 - 1. assign V361941 = V561349 + 1. assign V095021 = V990926 + 1. assign V240141 = V193445. assign V282803 = V448174 + 1. assign V194980 = V194083 - 1. assign V193445 = V218615 + 1. assign V682594 = V731071 - 1. assign V537880 = V247747. assign V069282 = V492525 - 1. assign V800153 = V448174 + 1. assign V646075 = V812798. assign V019993 = V990726 + 1. assign V618064 = V874731 - 1. assign V694240 = V194083. assign V329662 = V731071 - 1. assign V255267 = V492525 + 1. assign V149682 = V282803. assign V363791 = V537880 - 1. assign V961516 = V371931 + 1. assign V212624 = V990926 + 1. assign V858801 = V212624 + 1. assign V580175 = V227446 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV063258 = 0;\n\nFrom these direct assignment(s), we have: \nV385416 = V063258 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V385416;\nNo other variables can be derived from V063258;\n\nNow we have done all the calculations. Derived variables are:\nV063258 = 0;\nV385416 = -1;\n\nNow we have finished this problem. ANSWER:\nV385416\n", "role": "assistant" } ]

[ "V374773", "V154181" ]

[ { "content": "<context>\nassign V157331 = V619572 - 1. assign V507969 = V729990 - 1. assign V782825 = V272631. assign V479716 = V621510. assign V037682 = V479716 + 1. assign V497196 = V681309. assign V829122 = V619572. assign V147202 = V677018 - 1. assign V429719 = V037682 + 1. assign V387947 = V784397. assign V137842 = V324984. assign V401929 = V479716. assign V199432 = V729990 + 1. assign V814055 = V681309. assign V272631 = V347879. assign V367986 = V406892 + 1. assign V406892 = V613806. assign V346162 = V367986. assign V241862 = V681309. assign V345487 = V165032 - 1. assign V908719 = V681309. assign V398856 = V621510 - 1. assign V002798 = V037682 + 1. assign V725298 = V367986 - 1. assign V621510 = V729990. assign V586667 = V800240 - 1. assign V934306 = V199432 - 1. assign V374773 = 8. assign V260672 = V406892. assign V716025 = V204177 - 1. assign V546578 = V924355 + 1. assign V681309 = V479716. assign V673432 = V165032. assign V748625 = V619572 + 1. assign V799024 = V324984 - 1. assign V034970 = V175988 - 1. assign V120563 = V037682. assign V649882 = V576967 + 1. assign V264612 = V748189 - 1. assign V800240 = V398856. assign V165032 = V260672 - 1. assign V784397 = V479716 + 1. assign V157514 = V204177 - 1. assign V014614 = V806945. assign V355774 = V401929 - 1. assign V619572 = V260672 - 1. assign V175988 = V729990 + 1. assign V187670 = V725298. assign V924355 = V673587 + 1. assign V774706 = V401929. assign V911011 = V175988. assign V186799 = V725298 + 1. assign V748189 = V367986 + 1. assign V576967 = V014614 - 1. assign V022375 = V621510. assign V673587 = V748189 - 1. assign V036816 = V852863 - 1. assign V706724 = V673432 + 1. assign V929806 = V234885 - 1. assign V852863 = V037682 + 1. assign V068423 = V673587 + 1. assign V505799 = V401929 - 1. assign V391146 = V260672 - 1. assign V192394 = V272631. assign V957855 = V355774 + 1. assign V729990 = V613806 - 1. assign V204177 = V729990 - 1. assign V310167 = V002798 - 1. assign V077364 = V934306. assign V907156 = V324984 + 1. assign V189711 = V014614 + 1. assign V950294 = V677018 + 1. assign V806945 = V367986 - 1. assign V968466 = V034970 + 1. assign V154181 = V374773. assign V452547 = V924355 + 1. assign V410890 = V037682 + 1. assign V990958 = V157331 - 1. assign V117074 = V391146. assign V234885 = V613806 + 1. assign V964775 = V037682. assign V499372 = V814055 + 1. assign V347879 = V507969 + 1. assign V324984 = V204177 + 1. assign V677018 = V234885 + 1. assign V619743 = V367986 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V157331 = V619572 - 1. assign V507969 = V729990 - 1. assign V782825 = V272631. assign V479716 = V621510. assign V037682 = V479716 + 1. assign V497196 = V681309. assign V829122 = V619572. assign V147202 = V677018 - 1. assign V429719 = V037682 + 1. assign V387947 = V784397. assign V137842 = V324984. assign V401929 = V479716. assign V199432 = V729990 + 1. assign V814055 = V681309. assign V272631 = V347879. assign V367986 = V406892 + 1. assign V406892 = V613806. assign V346162 = V367986. assign V241862 = V681309. assign V345487 = V165032 - 1. assign V908719 = V681309. assign V398856 = V621510 - 1. assign V002798 = V037682 + 1. assign V725298 = V367986 - 1. assign V621510 = V729990. assign V586667 = V800240 - 1. assign V934306 = V199432 - 1. assign V374773 = 8. assign V260672 = V406892. assign V716025 = V204177 - 1. assign V546578 = V924355 + 1. assign V681309 = V479716. assign V673432 = V165032. assign V748625 = V619572 + 1. assign V799024 = V324984 - 1. assign V034970 = V175988 - 1. assign V120563 = V037682. assign V649882 = V576967 + 1. assign V264612 = V748189 - 1. assign V800240 = V398856. assign V165032 = V260672 - 1. assign V784397 = V479716 + 1. assign V157514 = V204177 - 1. assign V014614 = V806945. assign V355774 = V401929 - 1. assign V619572 = V260672 - 1. assign V175988 = V729990 + 1. assign V187670 = V725298. assign V924355 = V673587 + 1. assign V774706 = V401929. assign V911011 = V175988. assign V186799 = V725298 + 1. assign V748189 = V367986 + 1. assign V576967 = V014614 - 1. assign V022375 = V621510. assign V673587 = V748189 - 1. assign V036816 = V852863 - 1. assign V706724 = V673432 + 1. assign V929806 = V234885 - 1. assign V852863 = V037682 + 1. assign V068423 = V673587 + 1. assign V505799 = V401929 - 1. assign V391146 = V260672 - 1. assign V192394 = V272631. assign V957855 = V355774 + 1. assign V729990 = V613806 - 1. assign V204177 = V729990 - 1. assign V310167 = V002798 - 1. assign V077364 = V934306. assign V907156 = V324984 + 1. assign V189711 = V014614 + 1. assign V950294 = V677018 + 1. assign V806945 = V367986 - 1. assign V968466 = V034970 + 1. assign V154181 = V374773. assign V452547 = V924355 + 1. assign V410890 = V037682 + 1. assign V990958 = V157331 - 1. assign V117074 = V391146. assign V234885 = V613806 + 1. assign V964775 = V037682. assign V499372 = V814055 + 1. assign V347879 = V507969 + 1. assign V324984 = V204177 + 1. assign V677018 = V234885 + 1. assign V619743 = V367986 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV374773 = 8;\n\nFrom these direct assignment(s), we have: \nV154181 = V374773 = 8;\nNo other variables can be derived from V154181;\nNo other variables can be derived from V374773;\n\nNow we have done all the calculations. Derived variables are:\nV374773 = 8;\nV154181 = 8;\n\nNow we have finished this problem. ANSWER:\nV374773, V154181\n", "role": "assistant" } ]

[ "V292952" ]

[ { "content": "<context>\nassign V504865 = V910965 + 1. assign V925532 = V352265 + 1. assign V020899 = V955261 - 1. assign V923648 = V587888 - 1. assign V436029 = V445194 - 1. assign V959245 = V189334 + 1. assign V845013 = V377880. assign V870240 = V935624. assign V309688 = V556408 - 1. assign V431851 = V629017 + 1. assign V377880 = V935624 + 1. assign V957105 = V887035 - 1. assign V285794 = V874337. assign V834316 = V208251 - 1. assign V292952 = 3. assign V600700 = V866717 + 1. assign V587888 = V050826. assign V073644 = V887035. assign V043104 = V629017 + 1. assign V866717 = V629017. assign V132705 = V923648 + 1. assign V915676 = V208251 + 1. assign V165880 = V910965 - 1. assign V009742 = V165880 + 1. assign V223304 = V189334 - 1. assign V629017 = V631794 - 1. assign V550320 = V874337 + 1. assign V348529 = V610224 + 1. assign V611197 = V441143. assign V657283 = V285794. assign V312440 = V208251. assign V193288 = V189334 + 1. assign V163503 = V285794 - 1. assign V042982 = V247189. assign V352265 = V923648. assign V027042 = V843571. assign V556408 = V482840 - 1. assign V015836 = V846255 - 1. assign V706522 = V018256. assign V179181 = V834316. assign V629198 = V504865 - 1. assign V467073 = V165880 + 1. assign V293958 = V275216 - 1. assign V247189 = V887035. assign V221436 = V043104 - 1. assign V818616 = V610224. assign V018256 = V043104 + 1. assign V699834 = V556408 - 1. assign V800913 = V550320. assign V631794 = V910965 - 1. assign V445194 = V275216 - 1. assign V935624 = V213839 + 1. assign V765763 = V482840 - 1. assign V194107 = V765763 - 1. assign V359632 = V644623 - 1. assign V453590 = V600700 - 1. assign V310793 = V292952 + 1. assign V189334 = V377880 - 1. assign V486523 = V050826 + 1. assign V213839 = V629017 + 1. assign V846255 = V870240 - 1. assign V955261 = V377880 - 1. assign V441143 = V189334. assign V874337 = V043104. assign V292606 = V610224 + 1. assign V173588 = V042982. assign V174825 = V910965 - 1. assign V482840 = V629198. assign V116137 = V765032 - 1. assign V701852 = V467073. assign V643246 = V436029 + 1. assign V644623 = V631794 + 1. assign V244572 = V043104. assign V905078 = V441143. assign V228043 = V208251 + 1. assign V893180 = V285794. assign V613436 = V431851 - 1. assign V275216 = V631794. assign V663311 = V631794 - 1. assign V050826 = V866717 + 1. assign V843571 = V285794 - 1. assign V375389 = V834316. assign V208251 = V213839. assign V887035 = V213839. assign V765032 = V587888 - 1. assign V610224 = V208251 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V504865 = V910965 + 1. assign V925532 = V352265 + 1. assign V020899 = V955261 - 1. assign V923648 = V587888 - 1. assign V436029 = V445194 - 1. assign V959245 = V189334 + 1. assign V845013 = V377880. assign V870240 = V935624. assign V309688 = V556408 - 1. assign V431851 = V629017 + 1. assign V377880 = V935624 + 1. assign V957105 = V887035 - 1. assign V285794 = V874337. assign V834316 = V208251 - 1. assign V292952 = 3. assign V600700 = V866717 + 1. assign V587888 = V050826. assign V073644 = V887035. assign V043104 = V629017 + 1. assign V866717 = V629017. assign V132705 = V923648 + 1. assign V915676 = V208251 + 1. assign V165880 = V910965 - 1. assign V009742 = V165880 + 1. assign V223304 = V189334 - 1. assign V629017 = V631794 - 1. assign V550320 = V874337 + 1. assign V348529 = V610224 + 1. assign V611197 = V441143. assign V657283 = V285794. assign V312440 = V208251. assign V193288 = V189334 + 1. assign V163503 = V285794 - 1. assign V042982 = V247189. assign V352265 = V923648. assign V027042 = V843571. assign V556408 = V482840 - 1. assign V015836 = V846255 - 1. assign V706522 = V018256. assign V179181 = V834316. assign V629198 = V504865 - 1. assign V467073 = V165880 + 1. assign V293958 = V275216 - 1. assign V247189 = V887035. assign V221436 = V043104 - 1. assign V818616 = V610224. assign V018256 = V043104 + 1. assign V699834 = V556408 - 1. assign V800913 = V550320. assign V631794 = V910965 - 1. assign V445194 = V275216 - 1. assign V935624 = V213839 + 1. assign V765763 = V482840 - 1. assign V194107 = V765763 - 1. assign V359632 = V644623 - 1. assign V453590 = V600700 - 1. assign V310793 = V292952 + 1. assign V189334 = V377880 - 1. assign V486523 = V050826 + 1. assign V213839 = V629017 + 1. assign V846255 = V870240 - 1. assign V955261 = V377880 - 1. assign V441143 = V189334. assign V874337 = V043104. assign V292606 = V610224 + 1. assign V173588 = V042982. assign V174825 = V910965 - 1. assign V482840 = V629198. assign V116137 = V765032 - 1. assign V701852 = V467073. assign V643246 = V436029 + 1. assign V644623 = V631794 + 1. assign V244572 = V043104. assign V905078 = V441143. assign V228043 = V208251 + 1. assign V893180 = V285794. assign V613436 = V431851 - 1. assign V275216 = V631794. assign V663311 = V631794 - 1. assign V050826 = V866717 + 1. assign V843571 = V285794 - 1. assign V375389 = V834316. assign V208251 = V213839. assign V887035 = V213839. assign V765032 = V587888 - 1. assign V610224 = V208251 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV292952 = 3;\n\nFrom these direct assignment(s), we have: \nV310793 = V292952 + 1 = 3 + 1 =4;\nNo other variables can be derived from V310793;\nNo other variables can be derived from V292952;\n\nNow we have done all the calculations. Derived variables are:\nV292952 = 3;\nV310793 = 4;\n\nNow we have finished this problem. ANSWER:\nV292952\n", "role": "assistant" } ]

[ "V998280" ]

[ { "content": "<context>\nassign V512340 = V484493 - 1. assign V275940 = V947996 + 1. assign V455004 = V511553. assign V665702 = V474730 + 1. assign V287977 = V693678. assign V943876 = V557331 + 1. assign V496850 = V474730 - 1. assign V511553 = V032060 - 1. assign V786297 = V191704. assign V158848 = V170907. assign V906889 = V509798 - 1. assign V681225 = V004424. assign V671381 = V275940 - 1. assign V873382 = V677652 + 1. assign V647358 = V544779. assign V590813 = V851629. assign V658176 = V185868 - 1. assign V435542 = V403713 - 1. assign V998542 = V557331 + 1. assign V010364 = V484493 - 1. assign V626322 = V706512 - 1. assign V346400 = V551435. assign V626121 = V677652 + 1. assign V972503 = V877480 + 1. assign V693864 = V113658 - 1. assign V570584 = V580316 + 1. assign V490385 = V544779 - 1. assign V681052 = V998280 - 1. assign V105203 = V706512 + 1. assign V608545 = V484493 + 1. assign V188338 = V940752. assign V803595 = V693864 - 1. assign V851629 = V511553. assign V005992 = V004071 + 1. assign V557331 = V665702 - 1. assign V403713 = V553211. assign V187502 = V943876. assign V592088 = V877480. assign V940752 = V526325 - 1. assign V161698 = V188338 + 1. assign V851223 = V511553 + 1. assign V328970 = V611035. assign V474730 = V032060 + 1. assign V771043 = V851223 - 1. assign V544779 = V534407. assign V329326 = V364069. assign V185868 = V113658 - 1. assign V998280 = 1. assign V580316 = V105203. assign V575404 = V873382 + 1. assign V399635 = V724208. assign V489240 = V170907. assign V606648 = V906889. assign V724208 = V873382 + 1. assign V004071 = V414205 - 1. assign V877480 = V873382 + 1. assign V170907 = V032060. assign V364069 = V032060 + 1. assign V505066 = V474730 - 1. assign V957345 = V496850 - 1. assign V032060 = V553211. assign V551435 = V940752 - 1. assign V526325 = V693864 + 1. assign V786601 = V943876 + 1. assign V484493 = V170907. assign V770766 = V771043. assign V611035 = V851223 - 1. assign V113658 = V474730 + 1. assign V084019 = V496850 - 1. assign V693678 = V874586. assign V428833 = V677652 - 1. assign V509798 = V105203 - 1. assign V947996 = V032060. assign V227803 = V677652 - 1. assign V706512 = V557331. assign V675649 = V943876 + 1. assign V694661 = V940752. assign V782577 = V998542 + 1. assign V534407 = V474730 + 1. assign V004424 = V170907 - 1. assign V191704 = V877480 + 1. assign V387222 = V671381 + 1. assign V874586 = V873382. assign V414205 = V851223 - 1. assign V514501 = V428833. assign V677652 = V511553.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V512340 = V484493 - 1. assign V275940 = V947996 + 1. assign V455004 = V511553. assign V665702 = V474730 + 1. assign V287977 = V693678. assign V943876 = V557331 + 1. assign V496850 = V474730 - 1. assign V511553 = V032060 - 1. assign V786297 = V191704. assign V158848 = V170907. assign V906889 = V509798 - 1. assign V681225 = V004424. assign V671381 = V275940 - 1. assign V873382 = V677652 + 1. assign V647358 = V544779. assign V590813 = V851629. assign V658176 = V185868 - 1. assign V435542 = V403713 - 1. assign V998542 = V557331 + 1. assign V010364 = V484493 - 1. assign V626322 = V706512 - 1. assign V346400 = V551435. assign V626121 = V677652 + 1. assign V972503 = V877480 + 1. assign V693864 = V113658 - 1. assign V570584 = V580316 + 1. assign V490385 = V544779 - 1. assign V681052 = V998280 - 1. assign V105203 = V706512 + 1. assign V608545 = V484493 + 1. assign V188338 = V940752. assign V803595 = V693864 - 1. assign V851629 = V511553. assign V005992 = V004071 + 1. assign V557331 = V665702 - 1. assign V403713 = V553211. assign V187502 = V943876. assign V592088 = V877480. assign V940752 = V526325 - 1. assign V161698 = V188338 + 1. assign V851223 = V511553 + 1. assign V328970 = V611035. assign V474730 = V032060 + 1. assign V771043 = V851223 - 1. assign V544779 = V534407. assign V329326 = V364069. assign V185868 = V113658 - 1. assign V998280 = 1. assign V580316 = V105203. assign V575404 = V873382 + 1. assign V399635 = V724208. assign V489240 = V170907. assign V606648 = V906889. assign V724208 = V873382 + 1. assign V004071 = V414205 - 1. assign V877480 = V873382 + 1. assign V170907 = V032060. assign V364069 = V032060 + 1. assign V505066 = V474730 - 1. assign V957345 = V496850 - 1. assign V032060 = V553211. assign V551435 = V940752 - 1. assign V526325 = V693864 + 1. assign V786601 = V943876 + 1. assign V484493 = V170907. assign V770766 = V771043. assign V611035 = V851223 - 1. assign V113658 = V474730 + 1. assign V084019 = V496850 - 1. assign V693678 = V874586. assign V428833 = V677652 - 1. assign V509798 = V105203 - 1. assign V947996 = V032060. assign V227803 = V677652 - 1. assign V706512 = V557331. assign V675649 = V943876 + 1. assign V694661 = V940752. assign V782577 = V998542 + 1. assign V534407 = V474730 + 1. assign V004424 = V170907 - 1. assign V191704 = V877480 + 1. assign V387222 = V671381 + 1. assign V874586 = V873382. assign V414205 = V851223 - 1. assign V514501 = V428833. assign V677652 = V511553.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV998280 = 1;\n\nFrom these direct assignment(s), we have: \nV681052 = V998280 - 1 = 1 - 1 =0;\nNo other variables can be derived from V681052;\nNo other variables can be derived from V998280;\n\nNow we have done all the calculations. Derived variables are:\nV998280 = 1;\nV681052 = 0;\n\nNow we have finished this problem. ANSWER:\nV998280\n", "role": "assistant" } ]

[ "V820194" ]

[ { "content": "<context>\nassign V809197 = V077977 + 1. assign V479875 = V226778 + 1. assign V547553 = V370835 - 1. assign V463634 = V240602 + 1. assign V207022 = V370835. assign V846990 = V245647 - 1. assign V129849 = V226778. assign V741678 = V778898. assign V942418 = V188218 + 1. assign V927638 = V600402. assign V682717 = V243786. assign V839012 = V726802. assign V215831 = V682717. assign V587569 = V726802. assign V402465 = V408542. assign V820194 = V123443 - 1. assign V370835 = V790845 + 1. assign V121124 = V672560 - 1. assign V066526 = V650558 + 1. assign V650558 = V726802 - 1. assign V408542 = V243786 - 1. assign V868996 = V402465 + 1. assign V760117 = V166992. assign V768421 = V094724 - 1. assign V783928 = V402465 - 1. assign V178087 = V741678. assign V250477 = V521253. assign V245647 = V672560 - 1. assign V497004 = V188218. assign V081448 = V144718 - 1. assign V237818 = V066319. assign V240602 = V402465 - 1. assign V446924 = V726802 - 1. assign V075607 = V587569 + 1. assign V786695 = V741678 + 1. assign V618916 = V790845 + 1. assign V084995 = V714416 - 1. assign V682430 = V215831 + 1. assign V989639 = V243786 + 1. assign V576948 = V215018. assign V226778 = V207022 - 1. assign V519149 = V077977 - 1. assign V778898 = V768421. assign V228119 = V672560 + 1. assign V166992 = V094724. assign V569620 = V528358. assign V668513 = V790845 + 1. assign V388896 = V408542. assign V077977 = V215018. assign V528358 = V786695 + 1. assign V480454 = V243786 + 1. assign V923126 = V790845. assign V705889 = V768421 + 1. assign V072874 = V479875. assign V672034 = V129849 + 1. assign V188218 = V370835 + 1. assign V163737 = V521253 + 1. assign V123443 = 6. assign V243786 = V741678 - 1. assign V109651 = V790845 + 1. assign V790845 = V094724. assign V600402 = V618916. assign V428941 = V726802. assign V185806 = V778898. assign V872680 = V786695 + 1. assign V726802 = V521253 - 1. assign V157602 = V245647 - 1. assign V305965 = V786695 - 1. assign V714416 = V207022 - 1. assign V672560 = V726802 - 1. assign V675206 = V521253 + 1. assign V141435 = V066526 - 1. assign V712339 = V402465 - 1. assign V843039 = V942418 - 1. assign V923341 = V872680 - 1. assign V573743 = V428941. assign V215018 = V618916 + 1. assign V066319 = V026556 - 1. assign V323192 = V712339 + 1. assign V521253 = V370835 + 1. assign V228895 = V305965. assign V025204 = V243786 + 1. assign V026556 = V528358. assign V244685 = V547553. assign V233669 = V109651. assign V144718 = V157602.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V809197 = V077977 + 1. assign V479875 = V226778 + 1. assign V547553 = V370835 - 1. assign V463634 = V240602 + 1. assign V207022 = V370835. assign V846990 = V245647 - 1. assign V129849 = V226778. assign V741678 = V778898. assign V942418 = V188218 + 1. assign V927638 = V600402. assign V682717 = V243786. assign V839012 = V726802. assign V215831 = V682717. assign V587569 = V726802. assign V402465 = V408542. assign V820194 = V123443 - 1. assign V370835 = V790845 + 1. assign V121124 = V672560 - 1. assign V066526 = V650558 + 1. assign V650558 = V726802 - 1. assign V408542 = V243786 - 1. assign V868996 = V402465 + 1. assign V760117 = V166992. assign V768421 = V094724 - 1. assign V783928 = V402465 - 1. assign V178087 = V741678. assign V250477 = V521253. assign V245647 = V672560 - 1. assign V497004 = V188218. assign V081448 = V144718 - 1. assign V237818 = V066319. assign V240602 = V402465 - 1. assign V446924 = V726802 - 1. assign V075607 = V587569 + 1. assign V786695 = V741678 + 1. assign V618916 = V790845 + 1. assign V084995 = V714416 - 1. assign V682430 = V215831 + 1. assign V989639 = V243786 + 1. assign V576948 = V215018. assign V226778 = V207022 - 1. assign V519149 = V077977 - 1. assign V778898 = V768421. assign V228119 = V672560 + 1. assign V166992 = V094724. assign V569620 = V528358. assign V668513 = V790845 + 1. assign V388896 = V408542. assign V077977 = V215018. assign V528358 = V786695 + 1. assign V480454 = V243786 + 1. assign V923126 = V790845. assign V705889 = V768421 + 1. assign V072874 = V479875. assign V672034 = V129849 + 1. assign V188218 = V370835 + 1. assign V163737 = V521253 + 1. assign V123443 = 6. assign V243786 = V741678 - 1. assign V109651 = V790845 + 1. assign V790845 = V094724. assign V600402 = V618916. assign V428941 = V726802. assign V185806 = V778898. assign V872680 = V786695 + 1. assign V726802 = V521253 - 1. assign V157602 = V245647 - 1. assign V305965 = V786695 - 1. assign V714416 = V207022 - 1. assign V672560 = V726802 - 1. assign V675206 = V521253 + 1. assign V141435 = V066526 - 1. assign V712339 = V402465 - 1. assign V843039 = V942418 - 1. assign V923341 = V872680 - 1. assign V573743 = V428941. assign V215018 = V618916 + 1. assign V066319 = V026556 - 1. assign V323192 = V712339 + 1. assign V521253 = V370835 + 1. assign V228895 = V305965. assign V025204 = V243786 + 1. assign V026556 = V528358. assign V244685 = V547553. assign V233669 = V109651. assign V144718 = V157602.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV123443 = 6;\n\nFrom these direct assignment(s), we have: \nV820194 = V123443 - 1 = 6 - 1 =5;\nNo other variables can be derived from V820194;\nNo other variables can be derived from V123443;\n\nNow we have done all the calculations. Derived variables are:\nV123443 = 6;\nV820194 = 5;\n\nNow we have finished this problem. ANSWER:\nV820194\n", "role": "assistant" } ]

[ "V825327" ]

[ { "content": "<context>\nassign V828268 = V020741 + 1. assign V786833 = V765993 - 1. assign V933592 = V781718. assign V781718 = V880833 + 1. assign V657750 = V815608 - 1. assign V133060 = V385460 - 1. assign V447535 = V081545 + 1. assign V887943 = V657750 - 1. assign V393736 = V226142 - 1. assign V418515 = V401399 + 1. assign V612777 = V330794 - 1. assign V321381 = V781718. assign V081485 = V330794 + 1. assign V855064 = V441645. assign V172861 = V765993 - 1. assign V441645 = V020741 + 1. assign V050192 = V020741 + 1. assign V816842 = V300568. assign V300568 = V340591 + 1. assign V282765 = V049860. assign V790710 = V340591 - 1. assign V340591 = V937215 + 1. assign V577718 = V049860. assign V539628 = V081545 + 1. assign V934542 = V172861 + 1. assign V385460 = V340591 - 1. assign V605915 = V825327 - 1. assign V415850 = V880833 + 1. assign V081747 = V793325. assign V861493 = V829973. assign V983730 = V903810 + 1. assign V597416 = V880833 + 1. assign V401399 = V340591 + 1. assign V327562 = V527952. assign V903810 = V226142. assign V305877 = V652888 + 1. assign V815608 = V523879 + 1. assign V704010 = V401399 + 1. assign V746148 = V081747 - 1. assign V880833 = V340591. assign V397841 = V637219 + 1. assign V715160 = V815608 - 1. assign V829973 = V243216. assign V857498 = V305877. assign V691775 = V393736 - 1. assign V049860 = V576489. assign V652888 = V243216 - 1. assign V637219 = V434502 - 1. assign V013558 = V330794. assign V035570 = V943875. assign V576489 = V816842 - 1. assign V927639 = V576489 + 1. assign V168356 = V507593 + 1. assign V418011 = V691775 + 1. assign V881487 = V887943 + 1. assign V106262 = V015359 + 1. assign V020741 = V330794 + 1. assign V050654 = V300568. assign V523879 = V330794. assign V507593 = V637219 + 1. assign V465078 = V765993. assign V943875 = V226142. assign V185428 = V527952 + 1. assign V226142 = V300568. assign V886317 = V081747 + 1. assign V998960 = V226142 - 1. assign V825327 = 5. assign V743446 = V049860. assign V765993 = V576489. assign V015359 = V243216. assign V793325 = V765993 + 1. assign V913784 = V330794 + 1. assign V434502 = V790710 - 1. assign V892078 = V305877 - 1. assign V448414 = V577718 + 1. assign V330794 = V401399 + 1. assign V081545 = V637219. assign V522702 = V527952 + 1. assign V821256 = V998960. assign V671595 = V020741 - 1. assign V676185 = V385460 - 1. assign V527952 = V441645 + 1. assign V709120 = V050192 - 1. assign V243216 = V330794 + 1. assign V547687 = V781718 + 1. assign V556453 = V671595 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V828268 = V020741 + 1. assign V786833 = V765993 - 1. assign V933592 = V781718. assign V781718 = V880833 + 1. assign V657750 = V815608 - 1. assign V133060 = V385460 - 1. assign V447535 = V081545 + 1. assign V887943 = V657750 - 1. assign V393736 = V226142 - 1. assign V418515 = V401399 + 1. assign V612777 = V330794 - 1. assign V321381 = V781718. assign V081485 = V330794 + 1. assign V855064 = V441645. assign V172861 = V765993 - 1. assign V441645 = V020741 + 1. assign V050192 = V020741 + 1. assign V816842 = V300568. assign V300568 = V340591 + 1. assign V282765 = V049860. assign V790710 = V340591 - 1. assign V340591 = V937215 + 1. assign V577718 = V049860. assign V539628 = V081545 + 1. assign V934542 = V172861 + 1. assign V385460 = V340591 - 1. assign V605915 = V825327 - 1. assign V415850 = V880833 + 1. assign V081747 = V793325. assign V861493 = V829973. assign V983730 = V903810 + 1. assign V597416 = V880833 + 1. assign V401399 = V340591 + 1. assign V327562 = V527952. assign V903810 = V226142. assign V305877 = V652888 + 1. assign V815608 = V523879 + 1. assign V704010 = V401399 + 1. assign V746148 = V081747 - 1. assign V880833 = V340591. assign V397841 = V637219 + 1. assign V715160 = V815608 - 1. assign V829973 = V243216. assign V857498 = V305877. assign V691775 = V393736 - 1. assign V049860 = V576489. assign V652888 = V243216 - 1. assign V637219 = V434502 - 1. assign V013558 = V330794. assign V035570 = V943875. assign V576489 = V816842 - 1. assign V927639 = V576489 + 1. assign V168356 = V507593 + 1. assign V418011 = V691775 + 1. assign V881487 = V887943 + 1. assign V106262 = V015359 + 1. assign V020741 = V330794 + 1. assign V050654 = V300568. assign V523879 = V330794. assign V507593 = V637219 + 1. assign V465078 = V765993. assign V943875 = V226142. assign V185428 = V527952 + 1. assign V226142 = V300568. assign V886317 = V081747 + 1. assign V998960 = V226142 - 1. assign V825327 = 5. assign V743446 = V049860. assign V765993 = V576489. assign V015359 = V243216. assign V793325 = V765993 + 1. assign V913784 = V330794 + 1. assign V434502 = V790710 - 1. assign V892078 = V305877 - 1. assign V448414 = V577718 + 1. assign V330794 = V401399 + 1. assign V081545 = V637219. assign V522702 = V527952 + 1. assign V821256 = V998960. assign V671595 = V020741 - 1. assign V676185 = V385460 - 1. assign V527952 = V441645 + 1. assign V709120 = V050192 - 1. assign V243216 = V330794 + 1. assign V547687 = V781718 + 1. assign V556453 = V671595 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV825327 = 5;\n\nFrom these direct assignment(s), we have: \nV605915 = V825327 - 1 = 5 - 1 =4;\nNo other variables can be derived from V605915;\nNo other variables can be derived from V825327;\n\nNow we have done all the calculations. Derived variables are:\nV825327 = 5;\nV605915 = 4;\n\nNow we have finished this problem. ANSWER:\nV825327\n", "role": "assistant" } ]

[ "V032775", "V944409" ]

[ { "content": "<context>\nassign V395081 = V049027. assign V496504 = V622749. assign V033353 = V842900 - 1. assign V208029 = V892291. assign V191914 = V188853 + 1. assign V056257 = V395081 + 1. assign V902615 = V980924. assign V698283 = V892291. assign V565161 = V980924 - 1. assign V980924 = V818094. assign V179968 = V980924 - 1. assign V644363 = V622749 - 1. assign V812721 = V033353. assign V145155 = V188853. assign V236221 = V580051. assign V230727 = V990501 + 1. assign V611311 = V191914 - 1. assign V794448 = V756969 - 1. assign V821729 = V033353 - 1. assign V440415 = V179968 + 1. assign V799718 = V438084. assign V097506 = V960665. assign V892291 = V611311 - 1. assign V008761 = V150594 + 1. assign V931911 = V842634. assign V021715 = V842900. assign V978917 = V794448 + 1. assign V818094 = V622749. assign V512974 = V990501. assign V842900 = V818094 - 1. assign V279455 = V118357 - 1. assign V564473 = V191914. assign V897370 = V611311. assign V391288 = V931911 - 1. assign V565653 = V188853 + 1. assign V773357 = V622749 + 1. assign V990501 = V565161 + 1. assign V013253 = V980924. assign V892341 = V008761. assign V494360 = V218056 + 1. assign V617192 = V191914. assign V679083 = V438084 - 1. assign V049027 = V565653 + 1. assign V764587 = V188853 + 1. assign V121514 = V773357 + 1. assign V858011 = V990501 - 1. assign V726356 = V756969. assign V065648 = V611311 - 1. assign V453347 = V679083. assign V218056 = V818094. assign V954245 = V065648 + 1. assign V131392 = V150594. assign V007490 = V842900 - 1. assign V156097 = V622749 + 1. assign V110059 = V191914 - 1. assign V198717 = V438084 - 1. assign V284018 = V756969 - 1. assign V216970 = V523448. assign V118357 = V698283 - 1. assign V150594 = V580051. assign V032775 = 8. assign V188853 = V580051. assign V408028 = V617192 + 1. assign V392260 = V990501 + 1. assign V425476 = V049027. assign V754192 = V191914 - 1. assign V842634 = V179968 + 1. assign V599665 = V097506 + 1. assign V219232 = V097506 + 1. assign V891123 = V842634. assign V736116 = V150594. assign V960665 = V156097 + 1. assign V544052 = V191914 + 1. assign V588347 = V512974 - 1. assign V039096 = V580051. assign V756969 = V818094 + 1. assign V419123 = V438084. assign V438084 = V980924 - 1. assign V073014 = V794448. assign V841690 = V021715. assign V188300 = V858011 + 1. assign V580051 = V818094. assign V523448 = V842634 + 1. assign V208673 = V156097 - 1. assign V944409 = V032775. assign V283000 = V438084.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V395081 = V049027. assign V496504 = V622749. assign V033353 = V842900 - 1. assign V208029 = V892291. assign V191914 = V188853 + 1. assign V056257 = V395081 + 1. assign V902615 = V980924. assign V698283 = V892291. assign V565161 = V980924 - 1. assign V980924 = V818094. assign V179968 = V980924 - 1. assign V644363 = V622749 - 1. assign V812721 = V033353. assign V145155 = V188853. assign V236221 = V580051. assign V230727 = V990501 + 1. assign V611311 = V191914 - 1. assign V794448 = V756969 - 1. assign V821729 = V033353 - 1. assign V440415 = V179968 + 1. assign V799718 = V438084. assign V097506 = V960665. assign V892291 = V611311 - 1. assign V008761 = V150594 + 1. assign V931911 = V842634. assign V021715 = V842900. assign V978917 = V794448 + 1. assign V818094 = V622749. assign V512974 = V990501. assign V842900 = V818094 - 1. assign V279455 = V118357 - 1. assign V564473 = V191914. assign V897370 = V611311. assign V391288 = V931911 - 1. assign V565653 = V188853 + 1. assign V773357 = V622749 + 1. assign V990501 = V565161 + 1. assign V013253 = V980924. assign V892341 = V008761. assign V494360 = V218056 + 1. assign V617192 = V191914. assign V679083 = V438084 - 1. assign V049027 = V565653 + 1. assign V764587 = V188853 + 1. assign V121514 = V773357 + 1. assign V858011 = V990501 - 1. assign V726356 = V756969. assign V065648 = V611311 - 1. assign V453347 = V679083. assign V218056 = V818094. assign V954245 = V065648 + 1. assign V131392 = V150594. assign V007490 = V842900 - 1. assign V156097 = V622749 + 1. assign V110059 = V191914 - 1. assign V198717 = V438084 - 1. assign V284018 = V756969 - 1. assign V216970 = V523448. assign V118357 = V698283 - 1. assign V150594 = V580051. assign V032775 = 8. assign V188853 = V580051. assign V408028 = V617192 + 1. assign V392260 = V990501 + 1. assign V425476 = V049027. assign V754192 = V191914 - 1. assign V842634 = V179968 + 1. assign V599665 = V097506 + 1. assign V219232 = V097506 + 1. assign V891123 = V842634. assign V736116 = V150594. assign V960665 = V156097 + 1. assign V544052 = V191914 + 1. assign V588347 = V512974 - 1. assign V039096 = V580051. assign V756969 = V818094 + 1. assign V419123 = V438084. assign V438084 = V980924 - 1. assign V073014 = V794448. assign V841690 = V021715. assign V188300 = V858011 + 1. assign V580051 = V818094. assign V523448 = V842634 + 1. assign V208673 = V156097 - 1. assign V944409 = V032775. assign V283000 = V438084.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV032775 = 8;\n\nFrom these direct assignment(s), we have: \nV944409 = V032775 = 8;\nNo other variables can be derived from V944409;\nNo other variables can be derived from V032775;\n\nNow we have done all the calculations. Derived variables are:\nV032775 = 8;\nV944409 = 8;\n\nNow we have finished this problem. ANSWER:\nV032775, V944409\n", "role": "assistant" } ]

[ "V101032" ]

[ { "content": "<context>\nassign V560341 = V488559. assign V737025 = V010092. assign V342816 = V095844 - 1. assign V132518 = V344039 + 1. assign V049014 = V284611 - 1. assign V063711 = V502321 - 1. assign V837324 = V268602 - 1. assign V861260 = V301260. assign V372776 = V383121 + 1. assign V853609 = V579670 + 1. assign V773066 = V833762. assign V541818 = V719458 + 1. assign V133844 = V389127 - 1. assign V206909 = V947011 - 1. assign V617965 = V696359 - 1. assign V642120 = V372776 - 1. assign V411204 = V284611 - 1. assign V286615 = V943828 - 1. assign V234313 = V738830. assign V124367 = V709536 + 1. assign V081161 = V362951 - 1. assign V252542 = V833762. assign V696359 = V010092. assign V579670 = V719458. assign V284611 = V342816 + 1. assign V421600 = V383121. assign V709536 = V833762 + 1. assign V362951 = V719458 - 1. assign V093404 = V833762 - 1. assign V069656 = V095844 + 1. assign V573435 = V713856 - 1. assign V276261 = V124367 + 1. assign V948953 = V617965. assign V101032 = V280461 + 1. assign V713856 = V943828. assign V974546 = V943828. assign V332178 = V066565 - 1. assign V280461 = 8. assign V195185 = V562542 + 1. assign V273395 = V194976. assign V016658 = V738830 + 1. assign V965191 = V066565 + 1. assign V719458 = V562542. assign V738830 = V562542. assign V170858 = V966171 + 1. assign V914907 = V943828. assign V748978 = V562542 + 1. assign V165739 = V833762. assign V194976 = V301260 + 1. assign V778118 = V837324 - 1. assign V808585 = V541818. assign V502321 = V170858 + 1. assign V943828 = V562542 - 1. assign V383121 = V640139. assign V966171 = V409090 + 1. assign V389127 = V195185. assign V090862 = V966171 - 1. assign V130074 = V617965 + 1. assign V146249 = V965191 + 1. assign V891041 = V409090 + 1. assign V099266 = V640139 + 1. assign V076950 = V066565. assign V066565 = V541818. assign V255891 = V093404 - 1. assign V301260 = V562542 + 1. assign V268602 = V943828 - 1. assign V409090 = V268602 - 1. assign V453877 = V389127 - 1. assign V010092 = V965191. assign V947011 = V372776. assign V669851 = V709536 + 1. assign V549145 = V099266. assign V673289 = V076950. assign V640139 = V579670 - 1. assign V157072 = V837324 - 1. assign V523030 = V130074 + 1. assign V833762 = V562542 + 1. assign V073912 = V095844 + 1. assign V701513 = V738830 + 1. assign V488559 = V738830 - 1. assign V400543 = V332178. assign V095844 = V719458. assign V344039 = V400543. assign V462262 = V965191 - 1. assign V510383 = V943828 + 1. assign V579012 = V833762 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V560341 = V488559. assign V737025 = V010092. assign V342816 = V095844 - 1. assign V132518 = V344039 + 1. assign V049014 = V284611 - 1. assign V063711 = V502321 - 1. assign V837324 = V268602 - 1. assign V861260 = V301260. assign V372776 = V383121 + 1. assign V853609 = V579670 + 1. assign V773066 = V833762. assign V541818 = V719458 + 1. assign V133844 = V389127 - 1. assign V206909 = V947011 - 1. assign V617965 = V696359 - 1. assign V642120 = V372776 - 1. assign V411204 = V284611 - 1. assign V286615 = V943828 - 1. assign V234313 = V738830. assign V124367 = V709536 + 1. assign V081161 = V362951 - 1. assign V252542 = V833762. assign V696359 = V010092. assign V579670 = V719458. assign V284611 = V342816 + 1. assign V421600 = V383121. assign V709536 = V833762 + 1. assign V362951 = V719458 - 1. assign V093404 = V833762 - 1. assign V069656 = V095844 + 1. assign V573435 = V713856 - 1. assign V276261 = V124367 + 1. assign V948953 = V617965. assign V101032 = V280461 + 1. assign V713856 = V943828. assign V974546 = V943828. assign V332178 = V066565 - 1. assign V280461 = 8. assign V195185 = V562542 + 1. assign V273395 = V194976. assign V016658 = V738830 + 1. assign V965191 = V066565 + 1. assign V719458 = V562542. assign V738830 = V562542. assign V170858 = V966171 + 1. assign V914907 = V943828. assign V748978 = V562542 + 1. assign V165739 = V833762. assign V194976 = V301260 + 1. assign V778118 = V837324 - 1. assign V808585 = V541818. assign V502321 = V170858 + 1. assign V943828 = V562542 - 1. assign V383121 = V640139. assign V966171 = V409090 + 1. assign V389127 = V195185. assign V090862 = V966171 - 1. assign V130074 = V617965 + 1. assign V146249 = V965191 + 1. assign V891041 = V409090 + 1. assign V099266 = V640139 + 1. assign V076950 = V066565. assign V066565 = V541818. assign V255891 = V093404 - 1. assign V301260 = V562542 + 1. assign V268602 = V943828 - 1. assign V409090 = V268602 - 1. assign V453877 = V389127 - 1. assign V010092 = V965191. assign V947011 = V372776. assign V669851 = V709536 + 1. assign V549145 = V099266. assign V673289 = V076950. assign V640139 = V579670 - 1. assign V157072 = V837324 - 1. assign V523030 = V130074 + 1. assign V833762 = V562542 + 1. assign V073912 = V095844 + 1. assign V701513 = V738830 + 1. assign V488559 = V738830 - 1. assign V400543 = V332178. assign V095844 = V719458. assign V344039 = V400543. assign V462262 = V965191 - 1. assign V510383 = V943828 + 1. assign V579012 = V833762 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV280461 = 8;\n\nFrom these direct assignment(s), we have: \nV101032 = V280461 + 1 = 8 + 1 =9;\nNo other variables can be derived from V101032;\nNo other variables can be derived from V280461;\n\nNow we have done all the calculations. Derived variables are:\nV280461 = 8;\nV101032 = 9;\n\nNow we have finished this problem. ANSWER:\nV101032\n", "role": "assistant" } ]

[ "V337956" ]

[ { "content": "<context>\nassign V663926 = V403509. assign V910697 = V668684 + 1. assign V298531 = V380449 - 1. assign V725361 = V676779 - 1. assign V259335 = V036257. assign V872163 = V606315 - 1. assign V979658 = V036257 - 1. assign V827714 = V200979. assign V473160 = V725361. assign V280455 = V264986. assign V950859 = V089538. assign V211132 = V298531 - 1. assign V950460 = V658452 + 1. assign V626132 = V467848. assign V670072 = V740568 - 1. assign V689564 = V835281 - 1. assign V348629 = V740568 + 1. assign V676779 = V740568 + 1. assign V658712 = V835281 + 1. assign V186081 = V525664. assign V009021 = V795747. assign V476709 = V740568. assign V055184 = V138260 + 1. assign V957387 = V910697 - 1. assign V467848 = V380449. assign V103292 = V245939 + 1. assign V374353 = V827714. assign V099852 = V658712. assign V976884 = V676779 + 1. assign V734912 = V099852 + 1. assign V200979 = V573999. assign V014429 = V100885 - 1. assign V573999 = V676779 - 1. assign V193916 = 4. assign V533858 = V850132 - 1. assign V273998 = V740568 - 1. assign V080799 = V380449. assign V034441 = V133684 - 1. assign V410250 = V740568 + 1. assign V668684 = V835281 + 1. assign V905885 = V668684. assign V746246 = V467848 - 1. assign V089538 = V795747 - 1. assign V740568 = V905885 + 1. assign V264986 = V200979. assign V245939 = V976884. assign V795747 = V036257 + 1. assign V451600 = V533858 + 1. assign V243620 = V259335 + 1. assign V092331 = V467848 - 1. assign V162611 = V626132 - 1. assign V447232 = V740568 + 1. assign V850132 = V795747 + 1. assign V725508 = V850132 - 1. assign V000953 = V089538 + 1. assign V627677 = V676779 + 1. assign V036257 = V668684 + 1. assign V606315 = V795747 + 1. assign V944301 = V451600. assign V380449 = V676779 - 1. assign V587150 = V950859. assign V014678 = V725361 + 1. assign V838371 = V670072 - 1. assign V408666 = V273998 + 1. assign V620794 = V658452 - 1. assign V229860 = V795747. assign V284560 = V573999. assign V495822 = V740568 - 1. assign V190312 = V036257 + 1. assign V785647 = V099852 - 1. assign V525664 = V910697 + 1. assign V198514 = V009021 - 1. assign V138260 = V850132 - 1. assign V203795 = V658452 - 1. assign V572009 = V676779. assign V578134 = V186081 - 1. assign V133684 = V229860 - 1. assign V669028 = V403509 + 1. assign V258652 = V229860. assign V530896 = V658712 - 1. assign V014441 = V410250. assign V866837 = V725508. assign V403509 = V827714 - 1. assign V100885 = V668684. assign V658452 = V403509 - 1. assign V337956 = V193916 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V663926 = V403509. assign V910697 = V668684 + 1. assign V298531 = V380449 - 1. assign V725361 = V676779 - 1. assign V259335 = V036257. assign V872163 = V606315 - 1. assign V979658 = V036257 - 1. assign V827714 = V200979. assign V473160 = V725361. assign V280455 = V264986. assign V950859 = V089538. assign V211132 = V298531 - 1. assign V950460 = V658452 + 1. assign V626132 = V467848. assign V670072 = V740568 - 1. assign V689564 = V835281 - 1. assign V348629 = V740568 + 1. assign V676779 = V740568 + 1. assign V658712 = V835281 + 1. assign V186081 = V525664. assign V009021 = V795747. assign V476709 = V740568. assign V055184 = V138260 + 1. assign V957387 = V910697 - 1. assign V467848 = V380449. assign V103292 = V245939 + 1. assign V374353 = V827714. assign V099852 = V658712. assign V976884 = V676779 + 1. assign V734912 = V099852 + 1. assign V200979 = V573999. assign V014429 = V100885 - 1. assign V573999 = V676779 - 1. assign V193916 = 4. assign V533858 = V850132 - 1. assign V273998 = V740568 - 1. assign V080799 = V380449. assign V034441 = V133684 - 1. assign V410250 = V740568 + 1. assign V668684 = V835281 + 1. assign V905885 = V668684. assign V746246 = V467848 - 1. assign V089538 = V795747 - 1. assign V740568 = V905885 + 1. assign V264986 = V200979. assign V245939 = V976884. assign V795747 = V036257 + 1. assign V451600 = V533858 + 1. assign V243620 = V259335 + 1. assign V092331 = V467848 - 1. assign V162611 = V626132 - 1. assign V447232 = V740568 + 1. assign V850132 = V795747 + 1. assign V725508 = V850132 - 1. assign V000953 = V089538 + 1. assign V627677 = V676779 + 1. assign V036257 = V668684 + 1. assign V606315 = V795747 + 1. assign V944301 = V451600. assign V380449 = V676779 - 1. assign V587150 = V950859. assign V014678 = V725361 + 1. assign V838371 = V670072 - 1. assign V408666 = V273998 + 1. assign V620794 = V658452 - 1. assign V229860 = V795747. assign V284560 = V573999. assign V495822 = V740568 - 1. assign V190312 = V036257 + 1. assign V785647 = V099852 - 1. assign V525664 = V910697 + 1. assign V198514 = V009021 - 1. assign V138260 = V850132 - 1. assign V203795 = V658452 - 1. assign V572009 = V676779. assign V578134 = V186081 - 1. assign V133684 = V229860 - 1. assign V669028 = V403509 + 1. assign V258652 = V229860. assign V530896 = V658712 - 1. assign V014441 = V410250. assign V866837 = V725508. assign V403509 = V827714 - 1. assign V100885 = V668684. assign V658452 = V403509 - 1. assign V337956 = V193916 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV193916 = 4;\n\nFrom these direct assignment(s), we have: \nV337956 = V193916 + 1 = 4 + 1 =5;\nNo other variables can be derived from V337956;\nNo other variables can be derived from V193916;\n\nNow we have done all the calculations. Derived variables are:\nV193916 = 4;\nV337956 = 5;\n\nNow we have finished this problem. ANSWER:\nV337956\n", "role": "assistant" } ]

[ "V418888" ]

[ { "content": "<context>\nassign V461789 = V026257 - 1. assign V141959 = V237181 - 1. assign V100962 = V468045. assign V660297 = V119361. assign V298028 = V461789. assign V569078 = V112328 + 1. assign V746145 = V967743. assign V828283 = V468045 - 1. assign V871113 = V437107 - 1. assign V393215 = V205153 + 1. assign V774493 = V805040 - 1. assign V330307 = V119361. assign V222484 = V224992. assign V602699 = V031861. assign V861395 = V934747 - 1. assign V739930 = V998349 - 1. assign V805040 = V031861 + 1. assign V026257 = V884923 - 1. assign V750657 = V243983 + 1. assign V119361 = V468045 + 1. assign V296121 = V521448 - 1. assign V223904 = V112634. assign V243983 = V828283 - 1. assign V605738 = V934747 - 1. assign V604276 = V031861 - 1. assign V674441 = V112634 - 1. assign V414322 = V097867 + 1. assign V953376 = V026257 - 1. assign V322918 = V468045. assign V346272 = V106111 - 1. assign V297058 = V097867 + 1. assign V581879 = V928942. assign V967743 = V546341. assign V144966 = V758012 + 1. assign V735657 = V222484 - 1. assign V987037 = V100962 - 1. assign V066046 = V953376 - 1. assign V356933 = V563053. assign V269405 = V660297 - 1. assign V563053 = V468045. assign V773340 = V660297 - 1. assign V670307 = V828283 + 1. assign V495870 = V097867 - 1. assign V224992 = V468045 + 1. assign V758012 = V861395. assign V709684 = V670307 - 1. assign V338762 = V861395 - 1. assign V278696 = V293610 - 1. assign V928942 = V468045 + 1. assign V112328 = V934747 + 1. assign V688485 = V269405. assign V546341 = V563053 - 1. assign V380319 = V934747 - 1. assign V151539 = V934747. assign V535006 = V243983 - 1. assign V306379 = V223904 - 1. assign V934747 = V243983. assign V365498 = V243983. assign V112634 = V670307 - 1. assign V546332 = V861395. assign V839343 = V144966 - 1. assign V106111 = V563053 + 1. assign V293610 = V928942 - 1. assign V031861 = V243983. assign V437107 = V243983 + 1. assign V277874 = V495870 + 1. assign V380651 = V967743 + 1. assign V237181 = V861395. assign V681054 = V461789 - 1. assign V407679 = V521448. assign V440982 = V066046. assign V442561 = V563053 - 1. assign V205153 = V563053 - 1. assign V418888 = 7. assign V622994 = V418888 - 1. assign V521448 = V563053. assign V961828 = V861395 + 1. assign V949754 = V057963. assign V201123 = V330307. assign V097867 = V031861 - 1. assign V884923 = V293610. assign V196280 = V468045 + 1. assign V057963 = V243983 + 1. assign V998349 = V100962. assign V312420 = V581879 + 1. assign V064760 = V605738.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V461789 = V026257 - 1. assign V141959 = V237181 - 1. assign V100962 = V468045. assign V660297 = V119361. assign V298028 = V461789. assign V569078 = V112328 + 1. assign V746145 = V967743. assign V828283 = V468045 - 1. assign V871113 = V437107 - 1. assign V393215 = V205153 + 1. assign V774493 = V805040 - 1. assign V330307 = V119361. assign V222484 = V224992. assign V602699 = V031861. assign V861395 = V934747 - 1. assign V739930 = V998349 - 1. assign V805040 = V031861 + 1. assign V026257 = V884923 - 1. assign V750657 = V243983 + 1. assign V119361 = V468045 + 1. assign V296121 = V521448 - 1. assign V223904 = V112634. assign V243983 = V828283 - 1. assign V605738 = V934747 - 1. assign V604276 = V031861 - 1. assign V674441 = V112634 - 1. assign V414322 = V097867 + 1. assign V953376 = V026257 - 1. assign V322918 = V468045. assign V346272 = V106111 - 1. assign V297058 = V097867 + 1. assign V581879 = V928942. assign V967743 = V546341. assign V144966 = V758012 + 1. assign V735657 = V222484 - 1. assign V987037 = V100962 - 1. assign V066046 = V953376 - 1. assign V356933 = V563053. assign V269405 = V660297 - 1. assign V563053 = V468045. assign V773340 = V660297 - 1. assign V670307 = V828283 + 1. assign V495870 = V097867 - 1. assign V224992 = V468045 + 1. assign V758012 = V861395. assign V709684 = V670307 - 1. assign V338762 = V861395 - 1. assign V278696 = V293610 - 1. assign V928942 = V468045 + 1. assign V112328 = V934747 + 1. assign V688485 = V269405. assign V546341 = V563053 - 1. assign V380319 = V934747 - 1. assign V151539 = V934747. assign V535006 = V243983 - 1. assign V306379 = V223904 - 1. assign V934747 = V243983. assign V365498 = V243983. assign V112634 = V670307 - 1. assign V546332 = V861395. assign V839343 = V144966 - 1. assign V106111 = V563053 + 1. assign V293610 = V928942 - 1. assign V031861 = V243983. assign V437107 = V243983 + 1. assign V277874 = V495870 + 1. assign V380651 = V967743 + 1. assign V237181 = V861395. assign V681054 = V461789 - 1. assign V407679 = V521448. assign V440982 = V066046. assign V442561 = V563053 - 1. assign V205153 = V563053 - 1. assign V418888 = 7. assign V622994 = V418888 - 1. assign V521448 = V563053. assign V961828 = V861395 + 1. assign V949754 = V057963. assign V201123 = V330307. assign V097867 = V031861 - 1. assign V884923 = V293610. assign V196280 = V468045 + 1. assign V057963 = V243983 + 1. assign V998349 = V100962. assign V312420 = V581879 + 1. assign V064760 = V605738.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV418888 = 7;\n\nFrom these direct assignment(s), we have: \nV622994 = V418888 - 1 = 7 - 1 =6;\nNo other variables can be derived from V622994;\nNo other variables can be derived from V418888;\n\nNow we have done all the calculations. Derived variables are:\nV418888 = 7;\nV622994 = 6;\n\nNow we have finished this problem. ANSWER:\nV418888\n", "role": "assistant" } ]

[ "V962666" ]

[ { "content": "<context>\nassign V371828 = V735739 + 1. assign V248755 = V129325 + 1. assign V360659 = V183306. assign V876894 = V178899 - 1. assign V523606 = V332603 - 1. assign V293559 = V735739. assign V952801 = V440649. assign V267621 = V037217 - 1. assign V769017 = V360659 + 1. assign V129441 = V735739 + 1. assign V264148 = V779014 - 1. assign V262226 = V109159. assign V178899 = V523606. assign V332603 = V779014 - 1. assign V318041 = V578669 + 1. assign V226492 = V037217 - 1. assign V589915 = V047908. assign V748495 = V248755 + 1. assign V533046 = V044628 - 1. assign V418953 = V785252. assign V361876 = V264148. assign V891710 = V860243 + 1. assign V044628 = V209213 - 1. assign V735739 = V129325. assign V768666 = V788045 + 1. assign V669303 = V332603. assign V578669 = V047908 - 1. assign V355962 = V054222. assign V175356 = V364149 - 1. assign V278638 = V789318 + 1. assign V037217 = V196544. assign V556187 = V178899. assign V677323 = V440649. assign V170939 = V523606 + 1. assign V990275 = V129325. assign V007866 = V267621 + 1. assign V196339 = V779014. assign V937874 = V037217 + 1. assign V183306 = V789318. assign V283149 = V860243 + 1. assign V788045 = V084213 + 1. assign V233397 = V962666 + 1. assign V010988 = V215393 - 1. assign V259976 = V821586 + 1. assign V491924 = V589915 + 1. assign V253609 = V129325 + 1. assign V155898 = V129325. assign V734014 = V523606 - 1. assign V250405 = V490251 + 1. assign V450351 = V196544. assign V537626 = V047908 - 1. assign V460731 = V010988. assign V924223 = V364149 + 1. assign V318516 = V364149 + 1. assign V876964 = V589915 + 1. assign V779014 = V735739 + 1. assign V215393 = V748495. assign V895389 = V537626. assign V764556 = V109159 - 1. assign V652521 = V209213. assign V600589 = V785252 - 1. assign V054222 = V578669 - 1. assign V364149 = V785252 + 1. assign V288820 = V318516. assign V683889 = V248755 - 1. assign V846511 = V683889 + 1. assign V821586 = V129325 + 1. assign V785252 = V578669 + 1. assign V047908 = V735739 + 1. assign V196544 = V821586 + 1. assign V250058 = V785252. assign V564864 = V523606. assign V209213 = V789318. assign V490251 = V253609 - 1. assign V860243 = V318041 + 1. assign V398875 = V007866. assign V789318 = V047908 - 1. assign V084213 = V283149 + 1. assign V105206 = V293559 + 1. assign V255201 = V170939 - 1. assign V051454 = V196339 + 1. assign V109159 = V789318 - 1. assign V073498 = V578669. assign V962666 = 10. assign V547715 = V537626. assign V440649 = V253609 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V371828 = V735739 + 1. assign V248755 = V129325 + 1. assign V360659 = V183306. assign V876894 = V178899 - 1. assign V523606 = V332603 - 1. assign V293559 = V735739. assign V952801 = V440649. assign V267621 = V037217 - 1. assign V769017 = V360659 + 1. assign V129441 = V735739 + 1. assign V264148 = V779014 - 1. assign V262226 = V109159. assign V178899 = V523606. assign V332603 = V779014 - 1. assign V318041 = V578669 + 1. assign V226492 = V037217 - 1. assign V589915 = V047908. assign V748495 = V248755 + 1. assign V533046 = V044628 - 1. assign V418953 = V785252. assign V361876 = V264148. assign V891710 = V860243 + 1. assign V044628 = V209213 - 1. assign V735739 = V129325. assign V768666 = V788045 + 1. assign V669303 = V332603. assign V578669 = V047908 - 1. assign V355962 = V054222. assign V175356 = V364149 - 1. assign V278638 = V789318 + 1. assign V037217 = V196544. assign V556187 = V178899. assign V677323 = V440649. assign V170939 = V523606 + 1. assign V990275 = V129325. assign V007866 = V267621 + 1. assign V196339 = V779014. assign V937874 = V037217 + 1. assign V183306 = V789318. assign V283149 = V860243 + 1. assign V788045 = V084213 + 1. assign V233397 = V962666 + 1. assign V010988 = V215393 - 1. assign V259976 = V821586 + 1. assign V491924 = V589915 + 1. assign V253609 = V129325 + 1. assign V155898 = V129325. assign V734014 = V523606 - 1. assign V250405 = V490251 + 1. assign V450351 = V196544. assign V537626 = V047908 - 1. assign V460731 = V010988. assign V924223 = V364149 + 1. assign V318516 = V364149 + 1. assign V876964 = V589915 + 1. assign V779014 = V735739 + 1. assign V215393 = V748495. assign V895389 = V537626. assign V764556 = V109159 - 1. assign V652521 = V209213. assign V600589 = V785252 - 1. assign V054222 = V578669 - 1. assign V364149 = V785252 + 1. assign V288820 = V318516. assign V683889 = V248755 - 1. assign V846511 = V683889 + 1. assign V821586 = V129325 + 1. assign V785252 = V578669 + 1. assign V047908 = V735739 + 1. assign V196544 = V821586 + 1. assign V250058 = V785252. assign V564864 = V523606. assign V209213 = V789318. assign V490251 = V253609 - 1. assign V860243 = V318041 + 1. assign V398875 = V007866. assign V789318 = V047908 - 1. assign V084213 = V283149 + 1. assign V105206 = V293559 + 1. assign V255201 = V170939 - 1. assign V051454 = V196339 + 1. assign V109159 = V789318 - 1. assign V073498 = V578669. assign V962666 = 10. assign V547715 = V537626. assign V440649 = V253609 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 10.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV962666 = 10;\n\nFrom these direct assignment(s), we have: \nV233397 = V962666 + 1 = 10 + 1 =11;\nNo other variables can be derived from V233397;\nNo other variables can be derived from V962666;\n\nNow we have done all the calculations. Derived variables are:\nV962666 = 10;\nV233397 = 11;\n\nNow we have finished this problem. ANSWER:\nV962666\n", "role": "assistant" } ]

[ "V095801", "V124327" ]

[ { "content": "<context>\nassign V681567 = V944648. assign V792612 = V552555 + 1. assign V939525 = V552555. assign V779130 = V224520 + 1. assign V831524 = V326292 - 1. assign V775173 = V781862. assign V873256 = V739044. assign V008486 = V231823 + 1. assign V892506 = V198409 - 1. assign V833909 = V789732 - 1. assign V576171 = V552555 - 1. assign V106222 = V224520 + 1. assign V645361 = V864370 - 1. assign V850362 = V272033. assign V345005 = V224520 - 1. assign V223990 = V550714 + 1. assign V272033 = V327213 - 1. assign V767527 = V576171 - 1. assign V994526 = V939525. assign V105094 = V900708 + 1. assign V781862 = V231823. assign V864370 = V994526 + 1. assign V972773 = V059400. assign V328054 = V972773. assign V530260 = V074950 - 1. assign V389334 = V547676 - 1. assign V056983 = V550714 - 1. assign V944648 = V576171. assign V327213 = V547676 - 1. assign V124327 = V095801. assign V186425 = V939525 + 1. assign V924878 = V646853 + 1. assign V499979 = V576171. assign V550714 = V792612. assign V573199 = V473394. assign V597021 = V401172 - 1. assign V922343 = V528738 - 1. assign V059400 = V510993. assign V900708 = V681282 + 1. assign V393754 = V702991 + 1. assign V642221 = V254557 + 1. assign V509339 = V781862 + 1. assign V231823 = V547676. assign V074950 = V224520 - 1. assign V676478 = V767527 - 1. assign V819777 = V939525. assign V750802 = V724029 - 1. assign V473394 = V552555 + 1. assign V217468 = V547676 + 1. assign V349923 = V510993 + 1. assign V387292 = V779130 - 1. assign V095801 = 1. assign V617239 = V327213 - 1. assign V681282 = V272033 + 1. assign V347858 = V389334 + 1. assign V191938 = V864370 - 1. assign V026171 = V944648 - 1. assign V223833 = V328834. assign V367803 = V389334 - 1. assign V626269 = V947040. assign V295780 = V008486 - 1. assign V739044 = V008486 + 1. assign V901322 = V947040 - 1. assign V254557 = V739044 + 1. assign V224520 = V767527. assign V510993 = V796377 + 1. assign V198409 = V864370 - 1. assign V789732 = V550714 + 1. assign V552555 = V547676 - 1. assign V831819 = V327213 - 1. assign V328834 = V327213. assign V401172 = V389334 - 1. assign V149559 = V819777. assign V125294 = V552555. assign V326292 = V327213 + 1. assign V947040 = V576171. assign V528738 = V314895 - 1. assign V702991 = V796377 + 1. assign V646853 = V217468 - 1. assign V796377 = V944648. assign V314895 = V944648 - 1. assign V724029 = V056983 + 1. assign V292522 = V681282. assign V816304 = V272033 - 1. assign V083241 = V796377 + 1. assign V452989 = V328054 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V681567 = V944648. assign V792612 = V552555 + 1. assign V939525 = V552555. assign V779130 = V224520 + 1. assign V831524 = V326292 - 1. assign V775173 = V781862. assign V873256 = V739044. assign V008486 = V231823 + 1. assign V892506 = V198409 - 1. assign V833909 = V789732 - 1. assign V576171 = V552555 - 1. assign V106222 = V224520 + 1. assign V645361 = V864370 - 1. assign V850362 = V272033. assign V345005 = V224520 - 1. assign V223990 = V550714 + 1. assign V272033 = V327213 - 1. assign V767527 = V576171 - 1. assign V994526 = V939525. assign V105094 = V900708 + 1. assign V781862 = V231823. assign V864370 = V994526 + 1. assign V972773 = V059400. assign V328054 = V972773. assign V530260 = V074950 - 1. assign V389334 = V547676 - 1. assign V056983 = V550714 - 1. assign V944648 = V576171. assign V327213 = V547676 - 1. assign V124327 = V095801. assign V186425 = V939525 + 1. assign V924878 = V646853 + 1. assign V499979 = V576171. assign V550714 = V792612. assign V573199 = V473394. assign V597021 = V401172 - 1. assign V922343 = V528738 - 1. assign V059400 = V510993. assign V900708 = V681282 + 1. assign V393754 = V702991 + 1. assign V642221 = V254557 + 1. assign V509339 = V781862 + 1. assign V231823 = V547676. assign V074950 = V224520 - 1. assign V676478 = V767527 - 1. assign V819777 = V939525. assign V750802 = V724029 - 1. assign V473394 = V552555 + 1. assign V217468 = V547676 + 1. assign V349923 = V510993 + 1. assign V387292 = V779130 - 1. assign V095801 = 1. assign V617239 = V327213 - 1. assign V681282 = V272033 + 1. assign V347858 = V389334 + 1. assign V191938 = V864370 - 1. assign V026171 = V944648 - 1. assign V223833 = V328834. assign V367803 = V389334 - 1. assign V626269 = V947040. assign V295780 = V008486 - 1. assign V739044 = V008486 + 1. assign V901322 = V947040 - 1. assign V254557 = V739044 + 1. assign V224520 = V767527. assign V510993 = V796377 + 1. assign V198409 = V864370 - 1. assign V789732 = V550714 + 1. assign V552555 = V547676 - 1. assign V831819 = V327213 - 1. assign V328834 = V327213. assign V401172 = V389334 - 1. assign V149559 = V819777. assign V125294 = V552555. assign V326292 = V327213 + 1. assign V947040 = V576171. assign V528738 = V314895 - 1. assign V702991 = V796377 + 1. assign V646853 = V217468 - 1. assign V796377 = V944648. assign V314895 = V944648 - 1. assign V724029 = V056983 + 1. assign V292522 = V681282. assign V816304 = V272033 - 1. assign V083241 = V796377 + 1. assign V452989 = V328054 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV095801 = 1;\n\nFrom these direct assignment(s), we have: \nV124327 = V095801 = 1;\nNo other variables can be derived from V124327;\nNo other variables can be derived from V095801;\n\nNow we have done all the calculations. Derived variables are:\nV095801 = 1;\nV124327 = 1;\n\nNow we have finished this problem. ANSWER:\nV095801, V124327\n", "role": "assistant" } ]

[ "V995042" ]

[ { "content": "<context>\nassign V799251 = V613153. assign V447459 = V608879. assign V502422 = V858039. assign V031351 = V610701 - 1. assign V205520 = V608879 - 1. assign V841587 = V663560. assign V340461 = V841587 + 1. assign V607782 = V591907 + 1. assign V187008 = V673389. assign V591907 = V159670. assign V390187 = V230780 + 1. assign V887853 = V056784. assign V056784 = V447459 - 1. assign V175183 = V038430 - 1. assign V629209 = V887853 + 1. assign V521731 = V515345 - 1. assign V453860 = V502422 - 1. assign V797088 = V693382. assign V730682 = V056784 + 1. assign V833297 = V056784. assign V320569 = V858039 - 1. assign V208937 = V515345. assign V569482 = V396104 - 1. assign V285149 = V743738 - 1. assign V531634 = V639286. assign V690512 = V569482 + 1. assign V598284 = V171232 - 1. assign V509754 = V159670 + 1. assign V171232 = V663560 + 1. assign V031669 = V673389. assign V412685 = V199020. assign V387134 = V205520 + 1. assign V610701 = V205520. assign V788014 = V409169 + 1. assign V230780 = V693382 + 1. assign V193602 = V610701 - 1. assign V444868 = 7. assign V492470 = V205520 - 1. assign V877577 = V056784 - 1. assign V751784 = V629209 + 1. assign V743738 = V492470 - 1. assign V331138 = V750744 + 1. assign V771616 = V858039. assign V222020 = V205520 - 1. assign V750744 = V885092 - 1. assign V006248 = V187918 + 1. assign V673389 = V031351 + 1. assign V693382 = V447459 + 1. assign V393170 = V387134 + 1. assign V187918 = V038430. assign V885092 = V447459 - 1. assign V515345 = V799251. assign V995984 = V121408 - 1. assign V639286 = V396104. assign V327382 = V396104. assign V771638 = V858039. assign V613153 = V610701. assign V199020 = V730682 - 1. assign V604196 = V693382 + 1. assign V796409 = V858039 + 1. assign V038430 = V199020 + 1. assign V618568 = V205520 - 1. assign V041924 = V673389 - 1. assign V282615 = V327382 - 1. assign V165471 = V750744. assign V852350 = V031351 - 1. assign V413967 = V412685 + 1. assign V922129 = V502422 - 1. assign V121408 = V613153 - 1. assign V750177 = V056784 + 1. assign V995042 = V444868 + 1. assign V908779 = V327382 + 1. assign V221769 = V387134 - 1. assign V409169 = V205520 - 1. assign V540283 = V447459 + 1. assign V858039 = V751784. assign V310056 = V771616. assign V495038 = V852350. assign V791919 = V412685. assign V746503 = V413967 + 1. assign V197075 = V412685 + 1. assign V007492 = V540283 - 1. assign V663560 = V199020 - 1. assign V396104 = V751784 + 1. assign V669611 = V056784 - 1. assign V159670 = V608879 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V799251 = V613153. assign V447459 = V608879. assign V502422 = V858039. assign V031351 = V610701 - 1. assign V205520 = V608879 - 1. assign V841587 = V663560. assign V340461 = V841587 + 1. assign V607782 = V591907 + 1. assign V187008 = V673389. assign V591907 = V159670. assign V390187 = V230780 + 1. assign V887853 = V056784. assign V056784 = V447459 - 1. assign V175183 = V038430 - 1. assign V629209 = V887853 + 1. assign V521731 = V515345 - 1. assign V453860 = V502422 - 1. assign V797088 = V693382. assign V730682 = V056784 + 1. assign V833297 = V056784. assign V320569 = V858039 - 1. assign V208937 = V515345. assign V569482 = V396104 - 1. assign V285149 = V743738 - 1. assign V531634 = V639286. assign V690512 = V569482 + 1. assign V598284 = V171232 - 1. assign V509754 = V159670 + 1. assign V171232 = V663560 + 1. assign V031669 = V673389. assign V412685 = V199020. assign V387134 = V205520 + 1. assign V610701 = V205520. assign V788014 = V409169 + 1. assign V230780 = V693382 + 1. assign V193602 = V610701 - 1. assign V444868 = 7. assign V492470 = V205520 - 1. assign V877577 = V056784 - 1. assign V751784 = V629209 + 1. assign V743738 = V492470 - 1. assign V331138 = V750744 + 1. assign V771616 = V858039. assign V222020 = V205520 - 1. assign V750744 = V885092 - 1. assign V006248 = V187918 + 1. assign V673389 = V031351 + 1. assign V693382 = V447459 + 1. assign V393170 = V387134 + 1. assign V187918 = V038430. assign V885092 = V447459 - 1. assign V515345 = V799251. assign V995984 = V121408 - 1. assign V639286 = V396104. assign V327382 = V396104. assign V771638 = V858039. assign V613153 = V610701. assign V199020 = V730682 - 1. assign V604196 = V693382 + 1. assign V796409 = V858039 + 1. assign V038430 = V199020 + 1. assign V618568 = V205520 - 1. assign V041924 = V673389 - 1. assign V282615 = V327382 - 1. assign V165471 = V750744. assign V852350 = V031351 - 1. assign V413967 = V412685 + 1. assign V922129 = V502422 - 1. assign V121408 = V613153 - 1. assign V750177 = V056784 + 1. assign V995042 = V444868 + 1. assign V908779 = V327382 + 1. assign V221769 = V387134 - 1. assign V409169 = V205520 - 1. assign V540283 = V447459 + 1. assign V858039 = V751784. assign V310056 = V771616. assign V495038 = V852350. assign V791919 = V412685. assign V746503 = V413967 + 1. assign V197075 = V412685 + 1. assign V007492 = V540283 - 1. assign V663560 = V199020 - 1. assign V396104 = V751784 + 1. assign V669611 = V056784 - 1. assign V159670 = V608879 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV444868 = 7;\n\nFrom these direct assignment(s), we have: \nV995042 = V444868 + 1 = 7 + 1 =8;\nNo other variables can be derived from V995042;\nNo other variables can be derived from V444868;\n\nNow we have done all the calculations. Derived variables are:\nV444868 = 7;\nV995042 = 8;\n\nNow we have finished this problem. ANSWER:\nV995042\n", "role": "assistant" } ]

[ "V096857" ]

[ { "content": "<context>\nassign V201463 = V767010. assign V822850 = V309470 - 1. assign V570258 = V451762 - 1. assign V342345 = V393065. assign V488967 = V047074 + 1. assign V830716 = V783084 + 1. assign V613950 = V522257. assign V153742 = V783084 - 1. assign V841788 = V393065 + 1. assign V967447 = V497319 - 1. assign V522257 = V903404. assign V108784 = V279404 + 1. assign V814145 = V516626 + 1. assign V100368 = V652078 + 1. assign V795986 = V613950 - 1. assign V598971 = V739850. assign V054795 = V201463 + 1. assign V767010 = V903404 + 1. assign V249547 = V342345 - 1. assign V534159 = V514187 - 1. assign V825011 = V652078 - 1. assign V010832 = V139712. assign V326350 = V218656 + 1. assign V783084 = V326350. assign V516626 = V514187. assign V494598 = V901166 - 1. assign V278558 = V096857 - 1. assign V278294 = V451762. assign V494763 = V079378 + 1. assign V866619 = V818457 - 1. assign V485562 = V830716 - 1. assign V629998 = V153742 + 1. assign V079378 = V372952 - 1. assign V451762 = V903404 - 1. assign V139712 = V534159 - 1. assign V459646 = V510668 - 1. assign V476918 = V468022 + 1. assign V647874 = V331569 - 1. assign V398071 = V100368 + 1. assign V605894 = V739850 + 1. assign V489719 = V652078 + 1. assign V707685 = V177534 + 1. assign V739850 = V476918 - 1. assign V602043 = V534159 + 1. assign V070762 = V331569 - 1. assign V723646 = V522257 + 1. assign V096857 = 1. assign V673159 = V108784 + 1. assign V177534 = V570258. assign V524468 = V309470 + 1. assign V928303 = V605894 + 1. assign V991955 = V468022. assign V594475 = V100368 - 1. assign V901166 = V534159 - 1. assign V432920 = V177534 + 1. assign V510668 = V476918 + 1. assign V517392 = V516626 - 1. assign V903404 = V446254 - 1. assign V048283 = V723646. assign V393065 = V432920 + 1. assign V468022 = V451762 + 1. assign V702876 = V767010 - 1. assign V309470 = V243231 - 1. assign V652078 = V451762. assign V218656 = V100368 - 1. assign V497319 = V652078 + 1. assign V047074 = V991955. assign V243231 = V991955. assign V279404 = V534159 - 1. assign V418190 = V991955 - 1. assign V451341 = V514187. assign V544016 = V279404 - 1. assign V154812 = V613950. assign V387301 = V047074 - 1. assign V658314 = V613950 - 1. assign V331569 = V010832. assign V780515 = V047074 + 1. assign V577042 = V522257. assign V446254 = V514187 + 1. assign V866114 = V070762 - 1. assign V372952 = V516626 + 1. assign V781019 = V901166 + 1. assign V645669 = V605894 - 1. assign V318617 = V446254. assign V483125 = V991955 + 1. assign V818457 = V645669 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V201463 = V767010. assign V822850 = V309470 - 1. assign V570258 = V451762 - 1. assign V342345 = V393065. assign V488967 = V047074 + 1. assign V830716 = V783084 + 1. assign V613950 = V522257. assign V153742 = V783084 - 1. assign V841788 = V393065 + 1. assign V967447 = V497319 - 1. assign V522257 = V903404. assign V108784 = V279404 + 1. assign V814145 = V516626 + 1. assign V100368 = V652078 + 1. assign V795986 = V613950 - 1. assign V598971 = V739850. assign V054795 = V201463 + 1. assign V767010 = V903404 + 1. assign V249547 = V342345 - 1. assign V534159 = V514187 - 1. assign V825011 = V652078 - 1. assign V010832 = V139712. assign V326350 = V218656 + 1. assign V783084 = V326350. assign V516626 = V514187. assign V494598 = V901166 - 1. assign V278558 = V096857 - 1. assign V278294 = V451762. assign V494763 = V079378 + 1. assign V866619 = V818457 - 1. assign V485562 = V830716 - 1. assign V629998 = V153742 + 1. assign V079378 = V372952 - 1. assign V451762 = V903404 - 1. assign V139712 = V534159 - 1. assign V459646 = V510668 - 1. assign V476918 = V468022 + 1. assign V647874 = V331569 - 1. assign V398071 = V100368 + 1. assign V605894 = V739850 + 1. assign V489719 = V652078 + 1. assign V707685 = V177534 + 1. assign V739850 = V476918 - 1. assign V602043 = V534159 + 1. assign V070762 = V331569 - 1. assign V723646 = V522257 + 1. assign V096857 = 1. assign V673159 = V108784 + 1. assign V177534 = V570258. assign V524468 = V309470 + 1. assign V928303 = V605894 + 1. assign V991955 = V468022. assign V594475 = V100368 - 1. assign V901166 = V534159 - 1. assign V432920 = V177534 + 1. assign V510668 = V476918 + 1. assign V517392 = V516626 - 1. assign V903404 = V446254 - 1. assign V048283 = V723646. assign V393065 = V432920 + 1. assign V468022 = V451762 + 1. assign V702876 = V767010 - 1. assign V309470 = V243231 - 1. assign V652078 = V451762. assign V218656 = V100368 - 1. assign V497319 = V652078 + 1. assign V047074 = V991955. assign V243231 = V991955. assign V279404 = V534159 - 1. assign V418190 = V991955 - 1. assign V451341 = V514187. assign V544016 = V279404 - 1. assign V154812 = V613950. assign V387301 = V047074 - 1. assign V658314 = V613950 - 1. assign V331569 = V010832. assign V780515 = V047074 + 1. assign V577042 = V522257. assign V446254 = V514187 + 1. assign V866114 = V070762 - 1. assign V372952 = V516626 + 1. assign V781019 = V901166 + 1. assign V645669 = V605894 - 1. assign V318617 = V446254. assign V483125 = V991955 + 1. assign V818457 = V645669 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV096857 = 1;\n\nFrom these direct assignment(s), we have: \nV278558 = V096857 - 1 = 1 - 1 =0;\nNo other variables can be derived from V278558;\nNo other variables can be derived from V096857;\n\nNow we have done all the calculations. Derived variables are:\nV096857 = 1;\nV278558 = 0;\n\nNow we have finished this problem. ANSWER:\nV096857\n", "role": "assistant" } ]

[ "V335668" ]

[ { "content": "<context>\nassign V547160 = V802872 + 1. assign V778783 = V043352 + 1. assign V518202 = V135182 + 1. assign V048510 = V048754. assign V760775 = V865595 - 1. assign V831432 = V795348 + 1. assign V240051 = V394116. assign V608613 = V843171 + 1. assign V394116 = V417249 - 1. assign V245427 = V394116 - 1. assign V746116 = V789189 + 1. assign V374111 = V843171. assign V398224 = V745376. assign V437890 = V455467. assign V796649 = V678688. assign V853287 = V210631 - 1. assign V348283 = V455467 - 1. assign V609477 = V504817 - 1. assign V041760 = V262638. assign V209223 = V245427 - 1. assign V992150 = V795348. assign V683774 = V831432. assign V914321 = V789189. assign V185453 = V041760 - 1. assign V928924 = V245427 + 1. assign V212712 = V591188 + 1. assign V195756 = V608613 + 1. assign V387543 = V877985 - 1. assign V460838 = V228079. assign V573217 = V043352 + 1. assign V864168 = V802872 + 1. assign V802872 = V417249 - 1. assign V347098 = V561157 + 1. assign V162162 = V877985 + 1. assign V262638 = V424013. assign V865595 = V417249 + 1. assign V492059 = V843171 - 1. assign V533509 = V245427. assign V163986 = V877985 - 1. assign V026007 = V877985 + 1. assign V760008 = V608613. assign V678688 = V767781. assign V033220 = V196236 + 1. assign V634666 = V417249 + 1. assign V591188 = V802872 - 1. assign V066396 = V262638. assign V843171 = V394116. assign V135182 = V048510 - 1. assign V009292 = V877985 - 1. assign V455467 = V417249. assign V906676 = V843171 + 1. assign V746569 = V312676 + 1. assign V683571 = V066396 + 1. assign V016195 = V746116 + 1. assign V745376 = V877985 + 1. assign V066400 = V185453. assign V561157 = V195756. assign V982775 = V041760 - 1. assign V972223 = V387543 - 1. assign V504817 = V634666 - 1. assign V921643 = V196236 + 1. assign V335668 = V310225 - 1. assign V007758 = V880676 + 1. assign V196236 = V843171 - 1. assign V767781 = V609477. assign V789189 = V387543. assign V155775 = V745376 - 1. assign V049731 = V906676 + 1. assign V608133 = V928924 - 1. assign V043352 = V634666 - 1. assign V048754 = V245427. assign V228079 = V683571 + 1. assign V877985 = V394116. assign V880676 = V789189 - 1. assign V310225 = 4. assign V795348 = V455467 - 1. assign V007667 = V066125 - 1. assign V972078 = V906676. assign V210631 = V455467. assign V066125 = V609477 + 1. assign V281133 = V831432 + 1. assign V312676 = V033220 - 1. assign V157256 = V802872. assign V280381 = V437890 + 1. assign V054470 = V009292 + 1. assign V424013 = V745376 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V547160 = V802872 + 1. assign V778783 = V043352 + 1. assign V518202 = V135182 + 1. assign V048510 = V048754. assign V760775 = V865595 - 1. assign V831432 = V795348 + 1. assign V240051 = V394116. assign V608613 = V843171 + 1. assign V394116 = V417249 - 1. assign V245427 = V394116 - 1. assign V746116 = V789189 + 1. assign V374111 = V843171. assign V398224 = V745376. assign V437890 = V455467. assign V796649 = V678688. assign V853287 = V210631 - 1. assign V348283 = V455467 - 1. assign V609477 = V504817 - 1. assign V041760 = V262638. assign V209223 = V245427 - 1. assign V992150 = V795348. assign V683774 = V831432. assign V914321 = V789189. assign V185453 = V041760 - 1. assign V928924 = V245427 + 1. assign V212712 = V591188 + 1. assign V195756 = V608613 + 1. assign V387543 = V877985 - 1. assign V460838 = V228079. assign V573217 = V043352 + 1. assign V864168 = V802872 + 1. assign V802872 = V417249 - 1. assign V347098 = V561157 + 1. assign V162162 = V877985 + 1. assign V262638 = V424013. assign V865595 = V417249 + 1. assign V492059 = V843171 - 1. assign V533509 = V245427. assign V163986 = V877985 - 1. assign V026007 = V877985 + 1. assign V760008 = V608613. assign V678688 = V767781. assign V033220 = V196236 + 1. assign V634666 = V417249 + 1. assign V591188 = V802872 - 1. assign V066396 = V262638. assign V843171 = V394116. assign V135182 = V048510 - 1. assign V009292 = V877985 - 1. assign V455467 = V417249. assign V906676 = V843171 + 1. assign V746569 = V312676 + 1. assign V683571 = V066396 + 1. assign V016195 = V746116 + 1. assign V745376 = V877985 + 1. assign V066400 = V185453. assign V561157 = V195756. assign V982775 = V041760 - 1. assign V972223 = V387543 - 1. assign V504817 = V634666 - 1. assign V921643 = V196236 + 1. assign V335668 = V310225 - 1. assign V007758 = V880676 + 1. assign V196236 = V843171 - 1. assign V767781 = V609477. assign V789189 = V387543. assign V155775 = V745376 - 1. assign V049731 = V906676 + 1. assign V608133 = V928924 - 1. assign V043352 = V634666 - 1. assign V048754 = V245427. assign V228079 = V683571 + 1. assign V877985 = V394116. assign V880676 = V789189 - 1. assign V310225 = 4. assign V795348 = V455467 - 1. assign V007667 = V066125 - 1. assign V972078 = V906676. assign V210631 = V455467. assign V066125 = V609477 + 1. assign V281133 = V831432 + 1. assign V312676 = V033220 - 1. assign V157256 = V802872. assign V280381 = V437890 + 1. assign V054470 = V009292 + 1. assign V424013 = V745376 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV310225 = 4;\n\nFrom these direct assignment(s), we have: \nV335668 = V310225 - 1 = 4 - 1 =3;\nNo other variables can be derived from V335668;\nNo other variables can be derived from V310225;\n\nNow we have done all the calculations. Derived variables are:\nV310225 = 4;\nV335668 = 3;\n\nNow we have finished this problem. ANSWER:\nV335668\n", "role": "assistant" } ]

[ "V339743" ]

[ { "content": "<context>\nassign V779974 = V609870. assign V014349 = V339743 + 1. assign V102772 = V992752 + 1. assign V849170 = V476535. assign V086652 = V338844 - 1. assign V694385 = V871230. assign V140675 = V234881 + 1. assign V984453 = V589868 - 1. assign V718085 = V476535 + 1. assign V800079 = V669463 - 1. assign V058104 = V871230. assign V917152 = V336722 + 1. assign V332872 = V062315 - 1. assign V714898 = V246054 + 1. assign V227224 = V339475 + 1. assign V391185 = V265727. assign V675439 = V701770 + 1. assign V234881 = V506243 + 1. assign V913189 = V102772 - 1. assign V082780 = V339475. assign V669463 = V476535 - 1. assign V280718 = V917152. assign V575581 = V476535 + 1. assign V062315 = V476535 + 1. assign V765672 = V096763. assign V511051 = V609870. assign V020603 = V184373. assign V984217 = V280718 + 1. assign V837107 = V062315 + 1. assign V470624 = V849170 + 1. assign V184373 = V332872 + 1. assign V239460 = V290188 + 1. assign V338844 = V476535 - 1. assign V003231 = V718085. assign V614476 = V338844. assign V797162 = V139987 + 1. assign V239714 = V445044 + 1. assign V676486 = V338844 - 1. assign V992752 = V338844 - 1. assign V041666 = V575581 - 1. assign V346972 = V190404. assign V744393 = V190404. assign V103727 = V669463 - 1. assign V190404 = V332872 + 1. assign V483554 = V062315 - 1. assign V444672 = V140675. assign V701770 = V669463. assign V871230 = V837107 + 1. assign V210544 = V773472. assign V368174 = V718085 - 1. assign V270466 = V992752 + 1. assign V496922 = V800079. assign V139987 = V239460 - 1. assign V630356 = V917152 + 1. assign V685077 = V003231 + 1. assign V610789 = V163229 + 1. assign V417978 = V630356. assign V265727 = V184373 - 1. assign V163229 = V086652 + 1. assign V848718 = V974873 - 1. assign V791553 = V718085. assign V336722 = V246054 - 1. assign V163703 = V800079 - 1. assign V974873 = V773472. assign V246054 = V239460 - 1. assign V712454 = V086652 + 1. assign V293960 = V718085. assign V387962 = V476535. assign V524383 = V992752. assign V290188 = V476535 - 1. assign V931245 = V041666. assign V285606 = V290188 - 1. assign V096763 = V575581 + 1. assign V445044 = V086652 + 1. assign V323990 = V496922 - 1. assign V358735 = V239460 - 1. assign V535289 = V246054 + 1. assign V589868 = V476535 - 1. assign V773472 = V239460 + 1. assign V774144 = V041666 + 1. assign V506243 = V669463 - 1. assign V520357 = V917152 - 1. assign V339743 = 9. assign V339475 = V676486. assign V909444 = V496922 + 1. assign V609870 = V524383 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V779974 = V609870. assign V014349 = V339743 + 1. assign V102772 = V992752 + 1. assign V849170 = V476535. assign V086652 = V338844 - 1. assign V694385 = V871230. assign V140675 = V234881 + 1. assign V984453 = V589868 - 1. assign V718085 = V476535 + 1. assign V800079 = V669463 - 1. assign V058104 = V871230. assign V917152 = V336722 + 1. assign V332872 = V062315 - 1. assign V714898 = V246054 + 1. assign V227224 = V339475 + 1. assign V391185 = V265727. assign V675439 = V701770 + 1. assign V234881 = V506243 + 1. assign V913189 = V102772 - 1. assign V082780 = V339475. assign V669463 = V476535 - 1. assign V280718 = V917152. assign V575581 = V476535 + 1. assign V062315 = V476535 + 1. assign V765672 = V096763. assign V511051 = V609870. assign V020603 = V184373. assign V984217 = V280718 + 1. assign V837107 = V062315 + 1. assign V470624 = V849170 + 1. assign V184373 = V332872 + 1. assign V239460 = V290188 + 1. assign V338844 = V476535 - 1. assign V003231 = V718085. assign V614476 = V338844. assign V797162 = V139987 + 1. assign V239714 = V445044 + 1. assign V676486 = V338844 - 1. assign V992752 = V338844 - 1. assign V041666 = V575581 - 1. assign V346972 = V190404. assign V744393 = V190404. assign V103727 = V669463 - 1. assign V190404 = V332872 + 1. assign V483554 = V062315 - 1. assign V444672 = V140675. assign V701770 = V669463. assign V871230 = V837107 + 1. assign V210544 = V773472. assign V368174 = V718085 - 1. assign V270466 = V992752 + 1. assign V496922 = V800079. assign V139987 = V239460 - 1. assign V630356 = V917152 + 1. assign V685077 = V003231 + 1. assign V610789 = V163229 + 1. assign V417978 = V630356. assign V265727 = V184373 - 1. assign V163229 = V086652 + 1. assign V848718 = V974873 - 1. assign V791553 = V718085. assign V336722 = V246054 - 1. assign V163703 = V800079 - 1. assign V974873 = V773472. assign V246054 = V239460 - 1. assign V712454 = V086652 + 1. assign V293960 = V718085. assign V387962 = V476535. assign V524383 = V992752. assign V290188 = V476535 - 1. assign V931245 = V041666. assign V285606 = V290188 - 1. assign V096763 = V575581 + 1. assign V445044 = V086652 + 1. assign V323990 = V496922 - 1. assign V358735 = V239460 - 1. assign V535289 = V246054 + 1. assign V589868 = V476535 - 1. assign V773472 = V239460 + 1. assign V774144 = V041666 + 1. assign V506243 = V669463 - 1. assign V520357 = V917152 - 1. assign V339743 = 9. assign V339475 = V676486. assign V909444 = V496922 + 1. assign V609870 = V524383 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV339743 = 9;\n\nFrom these direct assignment(s), we have: \nV014349 = V339743 + 1 = 9 + 1 =10;\nNo other variables can be derived from V014349;\nNo other variables can be derived from V339743;\n\nNow we have done all the calculations. Derived variables are:\nV339743 = 9;\nV014349 = 10;\n\nNow we have finished this problem. ANSWER:\nV339743\n", "role": "assistant" } ]

[ "V429888" ]

[ { "content": "<context>\nassign V872595 = V702671 - 1. assign V383462 = V651686 - 1. assign V072975 = V434713 - 1. assign V208833 = V430020 + 1. assign V818178 = V091865 + 1. assign V315484 = V434713. assign V638711 = V862185 + 1. assign V006113 = V829477. assign V004372 = V651686. assign V985466 = V818178 + 1. assign V213153 = V718717 + 1. assign V365205 = V331698. assign V917004 = V759049. assign V351785 = V260706 + 1. assign V072167 = V112186. assign V688247 = V180232 - 1. assign V470282 = V434713 - 1. assign V399671 = V146876 - 1. assign V759049 = V402889 - 1. assign V180232 = V161947 - 1. assign V434713 = V260706 - 1. assign V942966 = V260706 + 1. assign V132739 = V979281. assign V296839 = V760675 + 1. assign V812103 = V315484 + 1. assign V715534 = V260706 - 1. assign V347799 = V315484. assign V397365 = V979281 - 1. assign V880118 = V942966. assign V143039 = V818178. assign V030407 = V260706. assign V655993 = V651686 - 1. assign V718717 = V696390 - 1. assign V520517 = V715534 - 1. assign V760675 = V434713 - 1. assign V429888 = 7. assign V161947 = V181742 - 1. assign V135415 = V812103 + 1. assign V404586 = V556555. assign V917864 = V715534. assign V777561 = V872595 + 1. assign V829477 = V091865 + 1. assign V402889 = V829477 + 1. assign V284917 = V818178. assign V304071 = V161947. assign V098589 = V041201. assign V260331 = V331698 - 1. assign V633238 = V812103. assign V056748 = V556555 - 1. assign V764372 = V006113 + 1. assign V210963 = V296839. assign V556555 = V715534 + 1. assign V331698 = V812103. assign V702671 = V347799 - 1. assign V208651 = V470282. assign V854926 = V383462. assign V645111 = V053250 - 1. assign V268014 = V638711 + 1. assign V185310 = V331698. assign V499197 = V470282 - 1. assign V181742 = V829477 + 1. assign V696390 = V296839 + 1. assign V041201 = V331698 + 1. assign V430020 = V760675. assign V623539 = V760675 - 1. assign V091865 = V260706 - 1. assign V423801 = V135415 - 1. assign V351630 = V985466. assign V862185 = V091865. assign V782410 = V429888 + 1. assign V075610 = V547380 + 1. assign V979281 = V434713 + 1. assign V080157 = V862185 - 1. assign V547380 = V829477 - 1. assign V989171 = V499197 + 1. assign V604306 = V645111. assign V181028 = V402889. assign V112186 = V812103. assign V732103 = V434713 + 1. assign V827276 = V760675 - 1. assign V197372 = V161947. assign V146876 = V434713 + 1. assign V651686 = V181742 - 1. assign V338424 = V260706 - 1. assign V007076 = V347799 - 1. assign V053250 = V091865 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V872595 = V702671 - 1. assign V383462 = V651686 - 1. assign V072975 = V434713 - 1. assign V208833 = V430020 + 1. assign V818178 = V091865 + 1. assign V315484 = V434713. assign V638711 = V862185 + 1. assign V006113 = V829477. assign V004372 = V651686. assign V985466 = V818178 + 1. assign V213153 = V718717 + 1. assign V365205 = V331698. assign V917004 = V759049. assign V351785 = V260706 + 1. assign V072167 = V112186. assign V688247 = V180232 - 1. assign V470282 = V434713 - 1. assign V399671 = V146876 - 1. assign V759049 = V402889 - 1. assign V180232 = V161947 - 1. assign V434713 = V260706 - 1. assign V942966 = V260706 + 1. assign V132739 = V979281. assign V296839 = V760675 + 1. assign V812103 = V315484 + 1. assign V715534 = V260706 - 1. assign V347799 = V315484. assign V397365 = V979281 - 1. assign V880118 = V942966. assign V143039 = V818178. assign V030407 = V260706. assign V655993 = V651686 - 1. assign V718717 = V696390 - 1. assign V520517 = V715534 - 1. assign V760675 = V434713 - 1. assign V429888 = 7. assign V161947 = V181742 - 1. assign V135415 = V812103 + 1. assign V404586 = V556555. assign V917864 = V715534. assign V777561 = V872595 + 1. assign V829477 = V091865 + 1. assign V402889 = V829477 + 1. assign V284917 = V818178. assign V304071 = V161947. assign V098589 = V041201. assign V260331 = V331698 - 1. assign V633238 = V812103. assign V056748 = V556555 - 1. assign V764372 = V006113 + 1. assign V210963 = V296839. assign V556555 = V715534 + 1. assign V331698 = V812103. assign V702671 = V347799 - 1. assign V208651 = V470282. assign V854926 = V383462. assign V645111 = V053250 - 1. assign V268014 = V638711 + 1. assign V185310 = V331698. assign V499197 = V470282 - 1. assign V181742 = V829477 + 1. assign V696390 = V296839 + 1. assign V041201 = V331698 + 1. assign V430020 = V760675. assign V623539 = V760675 - 1. assign V091865 = V260706 - 1. assign V423801 = V135415 - 1. assign V351630 = V985466. assign V862185 = V091865. assign V782410 = V429888 + 1. assign V075610 = V547380 + 1. assign V979281 = V434713 + 1. assign V080157 = V862185 - 1. assign V547380 = V829477 - 1. assign V989171 = V499197 + 1. assign V604306 = V645111. assign V181028 = V402889. assign V112186 = V812103. assign V732103 = V434713 + 1. assign V827276 = V760675 - 1. assign V197372 = V161947. assign V146876 = V434713 + 1. assign V651686 = V181742 - 1. assign V338424 = V260706 - 1. assign V007076 = V347799 - 1. assign V053250 = V091865 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV429888 = 7;\n\nFrom these direct assignment(s), we have: \nV782410 = V429888 + 1 = 7 + 1 =8;\nNo other variables can be derived from V782410;\nNo other variables can be derived from V429888;\n\nNow we have done all the calculations. Derived variables are:\nV429888 = 7;\nV782410 = 8;\n\nNow we have finished this problem. ANSWER:\nV429888\n", "role": "assistant" } ]

[ "V142233" ]

[ { "content": "<context>\nassign V936751 = V849735 - 1. assign V379476 = V729530 - 1. assign V701560 = V060072. assign V510723 = V631265. assign V809903 = V765122. assign V142233 = 7. assign V442020 = V060072 + 1. assign V226608 = V849735 + 1. assign V082071 = V729530 + 1. assign V941273 = V705145 + 1. assign V497819 = V125323. assign V712949 = V873920 - 1. assign V627158 = V379476 + 1. assign V842156 = V765122 + 1. assign V060072 = V354518 + 1. assign V050399 = V576024 - 1. assign V807055 = V729530 + 1. assign V470903 = V302487 + 1. assign V068500 = V153089 + 1. assign V305103 = V153089 + 1. assign V576024 = V082071 - 1. assign V180383 = V563230. assign V189846 = V930502 + 1. assign V631265 = V125640 - 1. assign V045152 = V078885. assign V669725 = V379476 + 1. assign V153089 = V597929 - 1. assign V856761 = V899515 + 1. assign V339830 = V849735 + 1. assign V078885 = V226608 + 1. assign V523965 = V153089. assign V416924 = V922732 + 1. assign V804665 = V627158. assign V068372 = V302487 - 1. assign V014728 = V873920. assign V993547 = V854915 + 1. assign V354518 = V389571. assign V519027 = V849735. assign V678018 = V470903 - 1. assign V113358 = V014728. assign V495641 = V669664. assign V669664 = V729530 - 1. assign V607743 = V495641 - 1. assign V605530 = V519027. assign V150588 = V669725. assign V984568 = V519027. assign V873578 = V627158. assign V765122 = V678018 + 1. assign V008765 = V563230 - 1. assign V464761 = V014728 + 1. assign V705145 = V669664. assign V881175 = V089103. assign V125640 = V389571. assign V302487 = V627158 + 1. assign V389571 = V873920. assign V774217 = V247754 - 1. assign V548713 = V678018. assign V537363 = V930502. assign V153341 = V153089 + 1. assign V089103 = V389571 + 1. assign V854915 = V938906. assign V938906 = V339830 - 1. assign V899515 = V470803. assign V247754 = V241288 - 1. assign V125323 = V389571 - 1. assign V597929 = V873920 + 1. assign V391956 = V305103. assign V080696 = V631265 - 1. assign V148771 = V790864 - 1. assign V311816 = V854915 - 1. assign V922732 = V082071 - 1. assign V979669 = V142233 - 1. assign V873920 = V729530 + 1. assign V563230 = V597929 - 1. assign V241288 = V729530. assign V930502 = V080696 + 1. assign V653336 = V930502. assign V502327 = V014728 - 1. assign V849735 = V627158 + 1. assign V790864 = V873920 - 1. assign V896710 = V873578 - 1. assign V318403 = V302487 - 1. assign V857708 = V729530 + 1. assign V706638 = V873920 + 1. assign V470803 = V008765. assign V473533 = V379476.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V936751 = V849735 - 1. assign V379476 = V729530 - 1. assign V701560 = V060072. assign V510723 = V631265. assign V809903 = V765122. assign V142233 = 7. assign V442020 = V060072 + 1. assign V226608 = V849735 + 1. assign V082071 = V729530 + 1. assign V941273 = V705145 + 1. assign V497819 = V125323. assign V712949 = V873920 - 1. assign V627158 = V379476 + 1. assign V842156 = V765122 + 1. assign V060072 = V354518 + 1. assign V050399 = V576024 - 1. assign V807055 = V729530 + 1. assign V470903 = V302487 + 1. assign V068500 = V153089 + 1. assign V305103 = V153089 + 1. assign V576024 = V082071 - 1. assign V180383 = V563230. assign V189846 = V930502 + 1. assign V631265 = V125640 - 1. assign V045152 = V078885. assign V669725 = V379476 + 1. assign V153089 = V597929 - 1. assign V856761 = V899515 + 1. assign V339830 = V849735 + 1. assign V078885 = V226608 + 1. assign V523965 = V153089. assign V416924 = V922732 + 1. assign V804665 = V627158. assign V068372 = V302487 - 1. assign V014728 = V873920. assign V993547 = V854915 + 1. assign V354518 = V389571. assign V519027 = V849735. assign V678018 = V470903 - 1. assign V113358 = V014728. assign V495641 = V669664. assign V669664 = V729530 - 1. assign V607743 = V495641 - 1. assign V605530 = V519027. assign V150588 = V669725. assign V984568 = V519027. assign V873578 = V627158. assign V765122 = V678018 + 1. assign V008765 = V563230 - 1. assign V464761 = V014728 + 1. assign V705145 = V669664. assign V881175 = V089103. assign V125640 = V389571. assign V302487 = V627158 + 1. assign V389571 = V873920. assign V774217 = V247754 - 1. assign V548713 = V678018. assign V537363 = V930502. assign V153341 = V153089 + 1. assign V089103 = V389571 + 1. assign V854915 = V938906. assign V938906 = V339830 - 1. assign V899515 = V470803. assign V247754 = V241288 - 1. assign V125323 = V389571 - 1. assign V597929 = V873920 + 1. assign V391956 = V305103. assign V080696 = V631265 - 1. assign V148771 = V790864 - 1. assign V311816 = V854915 - 1. assign V922732 = V082071 - 1. assign V979669 = V142233 - 1. assign V873920 = V729530 + 1. assign V563230 = V597929 - 1. assign V241288 = V729530. assign V930502 = V080696 + 1. assign V653336 = V930502. assign V502327 = V014728 - 1. assign V849735 = V627158 + 1. assign V790864 = V873920 - 1. assign V896710 = V873578 - 1. assign V318403 = V302487 - 1. assign V857708 = V729530 + 1. assign V706638 = V873920 + 1. assign V470803 = V008765. assign V473533 = V379476.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV142233 = 7;\n\nFrom these direct assignment(s), we have: \nV979669 = V142233 - 1 = 7 - 1 =6;\nNo other variables can be derived from V979669;\nNo other variables can be derived from V142233;\n\nNow we have done all the calculations. Derived variables are:\nV142233 = 7;\nV979669 = 6;\n\nNow we have finished this problem. ANSWER:\nV142233\n", "role": "assistant" } ]

[ "V088988", "V222983" ]

[ { "content": "<context>\nassign V504066 = V864440. assign V805868 = V244750 - 1. assign V759941 = V864440 - 1. assign V940712 = V290462 + 1. assign V232307 = V759941 + 1. assign V183415 = V382554. assign V429606 = V929319 + 1. assign V847781 = V759941 - 1. assign V774363 = V665257. assign V087582 = V460062 - 1. assign V445373 = V183415 + 1. assign V429396 = V099549. assign V948549 = V103929 - 1. assign V324262 = V052047 - 1. assign V951817 = V929319 - 1. assign V944526 = V699446 - 1. assign V437412 = V243925. assign V103929 = V929319 + 1. assign V278771 = V452591 + 1. assign V962445 = V803029 + 1. assign V776063 = V029462 + 1. assign V626767 = V630220. assign V363830 = V699446 + 1. assign V382554 = V243925 + 1. assign V864440 = V029462 + 1. assign V738951 = V099549 - 1. assign V452591 = V243925 + 1. assign V536292 = V429606 - 1. assign V547306 = V759767. assign V211119 = V362047 + 1. assign V430244 = V803029 + 1. assign V487647 = V665257. assign V291901 = V103929. assign V803029 = V291901 + 1. assign V837298 = V099549. assign V029462 = V951817. assign V699446 = V128664 + 1. assign V110888 = V665257. assign V731220 = V110888 + 1. assign V099549 = V029462. assign V023733 = V699446 - 1. assign V098044 = V965343 - 1. assign V630220 = V965343 - 1. assign V460062 = V256502 - 1. assign V037301 = V965343. assign V504220 = V037301. assign V250060 = V298014 - 1. assign V256502 = V929319. assign V766304 = V037301. assign V292204 = V864440. assign V229740 = V128664 - 1. assign V569077 = V759767 - 1. assign V961223 = V929319 - 1. assign V551908 = V357545. assign V742417 = V951817 + 1. assign V128664 = V803029 - 1. assign V665257 = V962445 + 1. assign V941495 = V150316 + 1. assign V290462 = V639050. assign V298014 = V630220 - 1. assign V362047 = V460062. assign V244750 = V477149 + 1. assign V551794 = V029462 - 1. assign V884720 = V052047. assign V044005 = V837298 - 1. assign V222983 = V088988. assign V979389 = V452591 + 1. assign V243925 = V951817 - 1. assign V919069 = V551794 - 1. assign V759767 = V837298 - 1. assign V937062 = V639050. assign V301462 = V278771 - 1. assign V639050 = V243925 - 1. assign V150316 = V460062. assign V395439 = V429396 + 1. assign V052047 = V429606. assign V382116 = V738951 + 1. assign V772059 = V382554 - 1. assign V018130 = V731220. assign V041188 = V776063 - 1. assign V357545 = V429606 + 1. assign V050557 = V626767 + 1. assign V088988 = 7. assign V587160 = V037301. assign V477149 = V099549 - 1. assign V965343 = V099549 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V504066 = V864440. assign V805868 = V244750 - 1. assign V759941 = V864440 - 1. assign V940712 = V290462 + 1. assign V232307 = V759941 + 1. assign V183415 = V382554. assign V429606 = V929319 + 1. assign V847781 = V759941 - 1. assign V774363 = V665257. assign V087582 = V460062 - 1. assign V445373 = V183415 + 1. assign V429396 = V099549. assign V948549 = V103929 - 1. assign V324262 = V052047 - 1. assign V951817 = V929319 - 1. assign V944526 = V699446 - 1. assign V437412 = V243925. assign V103929 = V929319 + 1. assign V278771 = V452591 + 1. assign V962445 = V803029 + 1. assign V776063 = V029462 + 1. assign V626767 = V630220. assign V363830 = V699446 + 1. assign V382554 = V243925 + 1. assign V864440 = V029462 + 1. assign V738951 = V099549 - 1. assign V452591 = V243925 + 1. assign V536292 = V429606 - 1. assign V547306 = V759767. assign V211119 = V362047 + 1. assign V430244 = V803029 + 1. assign V487647 = V665257. assign V291901 = V103929. assign V803029 = V291901 + 1. assign V837298 = V099549. assign V029462 = V951817. assign V699446 = V128664 + 1. assign V110888 = V665257. assign V731220 = V110888 + 1. assign V099549 = V029462. assign V023733 = V699446 - 1. assign V098044 = V965343 - 1. assign V630220 = V965343 - 1. assign V460062 = V256502 - 1. assign V037301 = V965343. assign V504220 = V037301. assign V250060 = V298014 - 1. assign V256502 = V929319. assign V766304 = V037301. assign V292204 = V864440. assign V229740 = V128664 - 1. assign V569077 = V759767 - 1. assign V961223 = V929319 - 1. assign V551908 = V357545. assign V742417 = V951817 + 1. assign V128664 = V803029 - 1. assign V665257 = V962445 + 1. assign V941495 = V150316 + 1. assign V290462 = V639050. assign V298014 = V630220 - 1. assign V362047 = V460062. assign V244750 = V477149 + 1. assign V551794 = V029462 - 1. assign V884720 = V052047. assign V044005 = V837298 - 1. assign V222983 = V088988. assign V979389 = V452591 + 1. assign V243925 = V951817 - 1. assign V919069 = V551794 - 1. assign V759767 = V837298 - 1. assign V937062 = V639050. assign V301462 = V278771 - 1. assign V639050 = V243925 - 1. assign V150316 = V460062. assign V395439 = V429396 + 1. assign V052047 = V429606. assign V382116 = V738951 + 1. assign V772059 = V382554 - 1. assign V018130 = V731220. assign V041188 = V776063 - 1. assign V357545 = V429606 + 1. assign V050557 = V626767 + 1. assign V088988 = 7. assign V587160 = V037301. assign V477149 = V099549 - 1. assign V965343 = V099549 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV088988 = 7;\n\nFrom these direct assignment(s), we have: \nV222983 = V088988 = 7;\nNo other variables can be derived from V222983;\nNo other variables can be derived from V088988;\n\nNow we have done all the calculations. Derived variables are:\nV088988 = 7;\nV222983 = 7;\n\nNow we have finished this problem. ANSWER:\nV088988, V222983\n", "role": "assistant" } ]

[ "V389928" ]

[ { "content": "<context>\nassign V532130 = V537540 + 1. assign V634837 = V573075 - 1. assign V817632 = V878758. assign V104983 = V966081 + 1. assign V288251 = V503944. assign V343544 = V908513 - 1. assign V869438 = V061110 - 1. assign V507646 = V503944. assign V938042 = V956816 + 1. assign V177653 = V974222 - 1. assign V389928 = 6. assign V363795 = V368698 + 1. assign V368698 = V966081 - 1. assign V429862 = V232918 + 1. assign V673505 = V052127 + 1. assign V631329 = V461972 - 1. assign V159761 = V673490. assign V489116 = V562017 + 1. assign V562017 = V132502 - 1. assign V440683 = V869438 - 1. assign V635049 = V429862 - 1. assign V926512 = V718511 - 1. assign V956816 = V987168 + 1. assign V777433 = V562017 - 1. assign V061110 = V537540. assign V079459 = V359082 - 1. assign V331966 = V052127 + 1. assign V125576 = V159550 - 1. assign V373496 = V913292 + 1. assign V359082 = V519953. assign V153484 = V895181 + 1. assign V044295 = V966081 + 1. assign V718511 = V869438 + 1. assign V698475 = V519953 - 1. assign V553405 = V635049. assign V821584 = V444272. assign V585610 = V901059 + 1. assign V488799 = V968362 - 1. assign V129042 = V938042 + 1. assign V184472 = V429862 - 1. assign V316361 = V461972 - 1. assign V452052 = V373995 + 1. assign V974222 = V452052 - 1. assign V726543 = V044295 - 1. assign V673490 = V635049 + 1. assign V182685 = V968362 - 1. assign V518846 = V389928 - 1. assign V471894 = V104983. assign V503944 = V966081 + 1. assign V913292 = V573075 - 1. assign V929275 = V673490 - 1. assign V920842 = V363795 + 1. assign V248786 = V052127 + 1. assign V455174 = V373995 + 1. assign V895181 = V061110 + 1. assign V981721 = V052127 - 1. assign V159550 = V718511. assign V677516 = V044295. assign V908513 = V987168 + 1. assign V519953 = V981721. assign V669622 = V878758 + 1. assign V232918 = V052127 + 1. assign V717120 = V908513 + 1. assign V824273 = V030677. assign V444272 = V869438 + 1. assign V899543 = V177653 - 1. assign V878758 = V968362 + 1. assign V132502 = V373995 - 1. assign V473011 = V817632. assign V657240 = V159550 + 1. assign V030677 = V489116. assign V422630 = V878758 + 1. assign V727697 = V908513. assign V861372 = V966081 + 1. assign V537540 = V052127. assign V573075 = V981721 + 1. assign V901059 = V537540 + 1. assign V052127 = V373995 - 1. assign V201592 = V974222 + 1. assign V966081 = V532130 - 1. assign V071628 = V669622 + 1. assign V638366 = V878758 - 1. assign V461972 = V573075 + 1. assign V909874 = V232918 - 1. assign V987168 = V981721 + 1. assign V968362 = V452052 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V532130 = V537540 + 1. assign V634837 = V573075 - 1. assign V817632 = V878758. assign V104983 = V966081 + 1. assign V288251 = V503944. assign V343544 = V908513 - 1. assign V869438 = V061110 - 1. assign V507646 = V503944. assign V938042 = V956816 + 1. assign V177653 = V974222 - 1. assign V389928 = 6. assign V363795 = V368698 + 1. assign V368698 = V966081 - 1. assign V429862 = V232918 + 1. assign V673505 = V052127 + 1. assign V631329 = V461972 - 1. assign V159761 = V673490. assign V489116 = V562017 + 1. assign V562017 = V132502 - 1. assign V440683 = V869438 - 1. assign V635049 = V429862 - 1. assign V926512 = V718511 - 1. assign V956816 = V987168 + 1. assign V777433 = V562017 - 1. assign V061110 = V537540. assign V079459 = V359082 - 1. assign V331966 = V052127 + 1. assign V125576 = V159550 - 1. assign V373496 = V913292 + 1. assign V359082 = V519953. assign V153484 = V895181 + 1. assign V044295 = V966081 + 1. assign V718511 = V869438 + 1. assign V698475 = V519953 - 1. assign V553405 = V635049. assign V821584 = V444272. assign V585610 = V901059 + 1. assign V488799 = V968362 - 1. assign V129042 = V938042 + 1. assign V184472 = V429862 - 1. assign V316361 = V461972 - 1. assign V452052 = V373995 + 1. assign V974222 = V452052 - 1. assign V726543 = V044295 - 1. assign V673490 = V635049 + 1. assign V182685 = V968362 - 1. assign V518846 = V389928 - 1. assign V471894 = V104983. assign V503944 = V966081 + 1. assign V913292 = V573075 - 1. assign V929275 = V673490 - 1. assign V920842 = V363795 + 1. assign V248786 = V052127 + 1. assign V455174 = V373995 + 1. assign V895181 = V061110 + 1. assign V981721 = V052127 - 1. assign V159550 = V718511. assign V677516 = V044295. assign V908513 = V987168 + 1. assign V519953 = V981721. assign V669622 = V878758 + 1. assign V232918 = V052127 + 1. assign V717120 = V908513 + 1. assign V824273 = V030677. assign V444272 = V869438 + 1. assign V899543 = V177653 - 1. assign V878758 = V968362 + 1. assign V132502 = V373995 - 1. assign V473011 = V817632. assign V657240 = V159550 + 1. assign V030677 = V489116. assign V422630 = V878758 + 1. assign V727697 = V908513. assign V861372 = V966081 + 1. assign V537540 = V052127. assign V573075 = V981721 + 1. assign V901059 = V537540 + 1. assign V052127 = V373995 - 1. assign V201592 = V974222 + 1. assign V966081 = V532130 - 1. assign V071628 = V669622 + 1. assign V638366 = V878758 - 1. assign V461972 = V573075 + 1. assign V909874 = V232918 - 1. assign V987168 = V981721 + 1. assign V968362 = V452052 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 6.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV389928 = 6;\n\nFrom these direct assignment(s), we have: \nV518846 = V389928 - 1 = 6 - 1 =5;\nNo other variables can be derived from V518846;\nNo other variables can be derived from V389928;\n\nNow we have done all the calculations. Derived variables are:\nV389928 = 6;\nV518846 = 5;\n\nNow we have finished this problem. ANSWER:\nV389928\n", "role": "assistant" } ]

[ "V459515" ]

[ { "content": "<context>\nassign V112283 = V585858 + 1. assign V140598 = V997223 + 1. assign V430832 = V584309 + 1. assign V867679 = V468423 + 1. assign V997223 = V692382 - 1. assign V965074 = V335244 + 1. assign V262026 = V887532 - 1. assign V218911 = V836963 - 1. assign V724898 = V601697. assign V836963 = V004348 - 1. assign V751503 = V608212. assign V183849 = V468423 - 1. assign V585858 = V427371 + 1. assign V692382 = V899277 - 1. assign V555154 = V844806 - 1. assign V581423 = V602875. assign V183929 = V732629 - 1. assign V096380 = V625441. assign V816974 = V625441. assign V713120 = V601697 + 1. assign V625441 = V601697 + 1. assign V571197 = V187982 + 1. assign V644646 = V164373 + 1. assign V602875 = V724898. assign V844806 = V462626 - 1. assign V292371 = V571197 + 1. assign V529545 = V517618 + 1. assign V596786 = V459515 - 1. assign V887532 = V269140 + 1. assign V616363 = V468423 - 1. assign V505428 = V724898 - 1. assign V762426 = V353655 - 1. assign V547843 = V335244. assign V011963 = V887532 + 1. assign V362870 = V269140. assign V164373 = V601697 + 1. assign V424324 = V816974 + 1. assign V371501 = V774712 - 1. assign V427371 = V187982. assign V197576 = V997223 + 1. assign V957618 = V713120. assign V662147 = V644646. assign V674870 = V724898 - 1. assign V993058 = V420902 - 1. assign V882821 = V887532. assign V832806 = V517618 + 1. assign V334577 = V625441 - 1. assign V302855 = V598434 + 1. assign V757017 = V965074 - 1. assign V416476 = V584309. assign V764378 = V601697 + 1. assign V459515 = 4. assign V746104 = V362870. assign V160735 = V584309 + 1. assign V353655 = V601697. assign V335244 = V004348 + 1. assign V598434 = V262026 + 1. assign V608212 = V269140. assign V928869 = V746104 + 1. assign V545974 = V547843 - 1. assign V349487 = V353655 - 1. assign V004348 = V601697 - 1. assign V379297 = V867679 + 1. assign V187982 = V601697. assign V381370 = V505428 - 1. assign V269140 = V816974. assign V584309 = V424324 + 1. assign V727132 = V746104. assign V842604 = V601697 + 1. assign V060716 = V335244 + 1. assign V602670 = V366957. assign V420902 = V269140. assign V113793 = V814642 - 1. assign V517618 = V371501. assign V468423 = V724898 - 1. assign V527731 = V335244 - 1. assign V507302 = V262026 + 1. assign V714135 = V517618 + 1. assign V899277 = V724898. assign V366957 = V887532 + 1. assign V462626 = V269140. assign V601697 = V673182 - 1. assign V814642 = V816974 - 1. assign V867758 = V004348 - 1. assign V774712 = V724898. assign V732629 = V581423 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V112283 = V585858 + 1. assign V140598 = V997223 + 1. assign V430832 = V584309 + 1. assign V867679 = V468423 + 1. assign V997223 = V692382 - 1. assign V965074 = V335244 + 1. assign V262026 = V887532 - 1. assign V218911 = V836963 - 1. assign V724898 = V601697. assign V836963 = V004348 - 1. assign V751503 = V608212. assign V183849 = V468423 - 1. assign V585858 = V427371 + 1. assign V692382 = V899277 - 1. assign V555154 = V844806 - 1. assign V581423 = V602875. assign V183929 = V732629 - 1. assign V096380 = V625441. assign V816974 = V625441. assign V713120 = V601697 + 1. assign V625441 = V601697 + 1. assign V571197 = V187982 + 1. assign V644646 = V164373 + 1. assign V602875 = V724898. assign V844806 = V462626 - 1. assign V292371 = V571197 + 1. assign V529545 = V517618 + 1. assign V596786 = V459515 - 1. assign V887532 = V269140 + 1. assign V616363 = V468423 - 1. assign V505428 = V724898 - 1. assign V762426 = V353655 - 1. assign V547843 = V335244. assign V011963 = V887532 + 1. assign V362870 = V269140. assign V164373 = V601697 + 1. assign V424324 = V816974 + 1. assign V371501 = V774712 - 1. assign V427371 = V187982. assign V197576 = V997223 + 1. assign V957618 = V713120. assign V662147 = V644646. assign V674870 = V724898 - 1. assign V993058 = V420902 - 1. assign V882821 = V887532. assign V832806 = V517618 + 1. assign V334577 = V625441 - 1. assign V302855 = V598434 + 1. assign V757017 = V965074 - 1. assign V416476 = V584309. assign V764378 = V601697 + 1. assign V459515 = 4. assign V746104 = V362870. assign V160735 = V584309 + 1. assign V353655 = V601697. assign V335244 = V004348 + 1. assign V598434 = V262026 + 1. assign V608212 = V269140. assign V928869 = V746104 + 1. assign V545974 = V547843 - 1. assign V349487 = V353655 - 1. assign V004348 = V601697 - 1. assign V379297 = V867679 + 1. assign V187982 = V601697. assign V381370 = V505428 - 1. assign V269140 = V816974. assign V584309 = V424324 + 1. assign V727132 = V746104. assign V842604 = V601697 + 1. assign V060716 = V335244 + 1. assign V602670 = V366957. assign V420902 = V269140. assign V113793 = V814642 - 1. assign V517618 = V371501. assign V468423 = V724898 - 1. assign V527731 = V335244 - 1. assign V507302 = V262026 + 1. assign V714135 = V517618 + 1. assign V899277 = V724898. assign V366957 = V887532 + 1. assign V462626 = V269140. assign V601697 = V673182 - 1. assign V814642 = V816974 - 1. assign V867758 = V004348 - 1. assign V774712 = V724898. assign V732629 = V581423 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV459515 = 4;\n\nFrom these direct assignment(s), we have: \nV596786 = V459515 - 1 = 4 - 1 =3;\nNo other variables can be derived from V596786;\nNo other variables can be derived from V459515;\n\nNow we have done all the calculations. Derived variables are:\nV459515 = 4;\nV596786 = 3;\n\nNow we have finished this problem. ANSWER:\nV459515\n", "role": "assistant" } ]