Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k

like 0

[ "V449966", "V272483" ]

[ { "content": "<context>\nassign V218635 = V239272 + 1. assign V366217 = V609986. assign V760860 = V013557 - 1. assign V609986 = V101356 - 1. assign V411771 = V601683 + 1. assign V883693 = V205182. assign V662061 = V883693 + 1. assign V389748 = V862230 - 1. assign V307309 = V032952. assign V101356 = V823071. assign V683654 = V760860 + 1. assign V862230 = V101356 + 1. assign V695653 = V035290. assign V239272 = V307309. assign V450945 = V179149 + 1. assign V005387 = V205182 + 1. assign V837125 = V389748. assign V594730 = V334323. assign V753301 = V424361 + 1. assign V427181 = V008803 - 1. assign V014975 = V823071 - 1. assign V476088 = V614963 - 1. assign V601683 = V614963 + 1. assign V048444 = V095993. assign V179149 = V205182 - 1. assign V844303 = V633575 + 1. assign V496377 = V334323 - 1. assign V821288 = V218635. assign V633575 = V013557. assign V544098 = V229265. assign V032952 = V642500. assign V026432 = V156780. assign V124125 = V427181 + 1. assign V923049 = V609986 + 1. assign V117107 = V146571. assign V206779 = V811013. assign V205182 = V013557 - 1. assign V229265 = V823071. assign V868590 = V008803 - 1. assign V925461 = V869235. assign V095993 = V334323 - 1. assign V272483 = V449966. assign V582523 = V476088 - 1. assign V449966 = 2. assign V462803 = V246068. assign V913007 = V851002. assign V113812 = V424361 - 1. assign V646310 = V095993 - 1. assign V156780 = V206779. assign V684844 = V609986 - 1. assign V823071 = V334323 - 1. assign V062516 = V642500 + 1. assign V296455 = V544098 - 1. assign V642500 = V334323. assign V720624 = V753301 - 1. assign V146571 = V851002 - 1. assign V755394 = V206779. assign V424361 = V032952. assign V960584 = V646310 + 1. assign V285618 = V424361 - 1. assign V246068 = V544098. assign V915372 = V633575. assign V966460 = V205182 + 1. assign V873673 = V246068. assign V580415 = V642007 - 1. assign V334323 = V205182 + 1. assign V010382 = V270634. assign V479807 = V296455 - 1. assign V614963 = V206779 + 1. assign V008803 = V205182. assign V642007 = V117107. assign V035290 = V334323. assign V869235 = V334323 + 1. assign V851002 = V307309 + 1. assign V162822 = V205182. assign V709689 = V675863 - 1. assign V764742 = V296455 + 1. assign V544496 = V014975. assign V675863 = V603079. assign V270634 = V633575 - 1. assign V597747 = V760860 - 1. assign V638183 = V005387 + 1. assign V603079 = V246068 + 1. assign V811013 = V229265. assign V215920 = V355318 - 1. assign V355318 = V811013 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V218635 = V239272 + 1. assign V366217 = V609986. assign V760860 = V013557 - 1. assign V609986 = V101356 - 1. assign V411771 = V601683 + 1. assign V883693 = V205182. assign V662061 = V883693 + 1. assign V389748 = V862230 - 1. assign V307309 = V032952. assign V101356 = V823071. assign V683654 = V760860 + 1. assign V862230 = V101356 + 1. assign V695653 = V035290. assign V239272 = V307309. assign V450945 = V179149 + 1. assign V005387 = V205182 + 1. assign V837125 = V389748. assign V594730 = V334323. assign V753301 = V424361 + 1. assign V427181 = V008803 - 1. assign V014975 = V823071 - 1. assign V476088 = V614963 - 1. assign V601683 = V614963 + 1. assign V048444 = V095993. assign V179149 = V205182 - 1. assign V844303 = V633575 + 1. assign V496377 = V334323 - 1. assign V821288 = V218635. assign V633575 = V013557. assign V544098 = V229265. assign V032952 = V642500. assign V026432 = V156780. assign V124125 = V427181 + 1. assign V923049 = V609986 + 1. assign V117107 = V146571. assign V206779 = V811013. assign V205182 = V013557 - 1. assign V229265 = V823071. assign V868590 = V008803 - 1. assign V925461 = V869235. assign V095993 = V334323 - 1. assign V272483 = V449966. assign V582523 = V476088 - 1. assign V449966 = 2. assign V462803 = V246068. assign V913007 = V851002. assign V113812 = V424361 - 1. assign V646310 = V095993 - 1. assign V156780 = V206779. assign V684844 = V609986 - 1. assign V823071 = V334323 - 1. assign V062516 = V642500 + 1. assign V296455 = V544098 - 1. assign V642500 = V334323. assign V720624 = V753301 - 1. assign V146571 = V851002 - 1. assign V755394 = V206779. assign V424361 = V032952. assign V960584 = V646310 + 1. assign V285618 = V424361 - 1. assign V246068 = V544098. assign V915372 = V633575. assign V966460 = V205182 + 1. assign V873673 = V246068. assign V580415 = V642007 - 1. assign V334323 = V205182 + 1. assign V010382 = V270634. assign V479807 = V296455 - 1. assign V614963 = V206779 + 1. assign V008803 = V205182. assign V642007 = V117107. assign V035290 = V334323. assign V869235 = V334323 + 1. assign V851002 = V307309 + 1. assign V162822 = V205182. assign V709689 = V675863 - 1. assign V764742 = V296455 + 1. assign V544496 = V014975. assign V675863 = V603079. assign V270634 = V633575 - 1. assign V597747 = V760860 - 1. assign V638183 = V005387 + 1. assign V603079 = V246068 + 1. assign V811013 = V229265. assign V215920 = V355318 - 1. assign V355318 = V811013 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV449966 = 2;\n\nFrom these direct assignment(s), we have: \nV272483 = V449966 = 2;\nNo other variables can be derived from V272483;\nNo other variables can be derived from V449966;\n\nNow we have done all the calculations. Derived variables are:\nV449966 = 2;\nV272483 = 2;\n\nNow we have finished this problem. ANSWER:\nV449966, V272483\n", "role": "assistant" } ]

[ "V208662" ]

[ { "content": "<context>\nassign V160339 = V274300 + 1. assign V860494 = V715048. assign V549811 = V061695 + 1. assign V386291 = V688257. assign V520344 = V086476 - 1. assign V940677 = V715048 + 1. assign V554192 = V890152 + 1. assign V066541 = V277266 + 1. assign V640256 = V670311 + 1. assign V929025 = V715048 - 1. assign V783528 = V884386. assign V789516 = V899405 - 1. assign V899405 = V601678 + 1. assign V707317 = V940677 + 1. assign V639297 = V025548 + 1. assign V241452 = V268243 - 1. assign V329903 = V003056 - 1. assign V577934 = V258537 + 1. assign V716118 = V013871. assign V601678 = V715048 - 1. assign V208662 = 3. assign V599795 = V556978 + 1. assign V960990 = V940677. assign V003056 = V086476 - 1. assign V448955 = V208336. assign V974750 = V003056. assign V094702 = V669816. assign V505214 = V570389. assign V556978 = V208336 - 1. assign V207482 = V061695 - 1. assign V253340 = V061695. assign V061695 = V601678. assign V846211 = V627100 - 1. assign V688257 = V960990. assign V051043 = V268243 - 1. assign V285147 = V688257. assign V072475 = V459528. assign V297792 = V890152 - 1. assign V723527 = V962650. assign V060074 = V253340. assign V268243 = V004389 - 1. assign V509259 = V258537 - 1. assign V902567 = V769442 + 1. assign V534525 = V785966. assign V083543 = V066541 + 1. assign V610015 = V208662 - 1. assign V670311 = V253340 + 1. assign V316326 = V773615. assign V840951 = V783528 - 1. assign V631715 = V891905. assign V010678 = V534525 - 1. assign V763872 = V783528 + 1. assign V627100 = V860494 + 1. assign V884386 = V554192 + 1. assign V277266 = V601678. assign V086476 = V025548 - 1. assign V241128 = V974750 - 1. assign V890152 = V601678 - 1. assign V282068 = V549811 - 1. assign V891905 = V639297. assign V669816 = V902567 - 1. assign V171566 = V884386. assign V782222 = V639297 + 1. assign V570389 = V025548. assign V831573 = V763872. assign V258537 = V962650 - 1. assign V165082 = V789516. assign V459528 = V884386 - 1. assign V704471 = V669816 - 1. assign V335177 = V013871 + 1. assign V142660 = V258537 + 1. assign V025548 = V890152. assign V993501 = V891905 + 1. assign V208336 = V940677 + 1. assign V785966 = V208336 - 1. assign V773615 = V940677 - 1. assign V769442 = V554192 - 1. assign V072650 = V061695 - 1. assign V607282 = V253340. assign V274300 = V554192 - 1. assign V004389 = V669816 - 1. assign V962650 = V769442 + 1. assign V100062 = V258537 - 1. assign V264192 = V715048 + 1. assign V504019 = V962650 + 1. assign V013871 = V785966 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V160339 = V274300 + 1. assign V860494 = V715048. assign V549811 = V061695 + 1. assign V386291 = V688257. assign V520344 = V086476 - 1. assign V940677 = V715048 + 1. assign V554192 = V890152 + 1. assign V066541 = V277266 + 1. assign V640256 = V670311 + 1. assign V929025 = V715048 - 1. assign V783528 = V884386. assign V789516 = V899405 - 1. assign V899405 = V601678 + 1. assign V707317 = V940677 + 1. assign V639297 = V025548 + 1. assign V241452 = V268243 - 1. assign V329903 = V003056 - 1. assign V577934 = V258537 + 1. assign V716118 = V013871. assign V601678 = V715048 - 1. assign V208662 = 3. assign V599795 = V556978 + 1. assign V960990 = V940677. assign V003056 = V086476 - 1. assign V448955 = V208336. assign V974750 = V003056. assign V094702 = V669816. assign V505214 = V570389. assign V556978 = V208336 - 1. assign V207482 = V061695 - 1. assign V253340 = V061695. assign V061695 = V601678. assign V846211 = V627100 - 1. assign V688257 = V960990. assign V051043 = V268243 - 1. assign V285147 = V688257. assign V072475 = V459528. assign V297792 = V890152 - 1. assign V723527 = V962650. assign V060074 = V253340. assign V268243 = V004389 - 1. assign V509259 = V258537 - 1. assign V902567 = V769442 + 1. assign V534525 = V785966. assign V083543 = V066541 + 1. assign V610015 = V208662 - 1. assign V670311 = V253340 + 1. assign V316326 = V773615. assign V840951 = V783528 - 1. assign V631715 = V891905. assign V010678 = V534525 - 1. assign V763872 = V783528 + 1. assign V627100 = V860494 + 1. assign V884386 = V554192 + 1. assign V277266 = V601678. assign V086476 = V025548 - 1. assign V241128 = V974750 - 1. assign V890152 = V601678 - 1. assign V282068 = V549811 - 1. assign V891905 = V639297. assign V669816 = V902567 - 1. assign V171566 = V884386. assign V782222 = V639297 + 1. assign V570389 = V025548. assign V831573 = V763872. assign V258537 = V962650 - 1. assign V165082 = V789516. assign V459528 = V884386 - 1. assign V704471 = V669816 - 1. assign V335177 = V013871 + 1. assign V142660 = V258537 + 1. assign V025548 = V890152. assign V993501 = V891905 + 1. assign V208336 = V940677 + 1. assign V785966 = V208336 - 1. assign V773615 = V940677 - 1. assign V769442 = V554192 - 1. assign V072650 = V061695 - 1. assign V607282 = V253340. assign V274300 = V554192 - 1. assign V004389 = V669816 - 1. assign V962650 = V769442 + 1. assign V100062 = V258537 - 1. assign V264192 = V715048 + 1. assign V504019 = V962650 + 1. assign V013871 = V785966 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV208662 = 3;\n\nFrom these direct assignment(s), we have: \nV610015 = V208662 - 1 = 3 - 1 =2;\nNo other variables can be derived from V610015;\nNo other variables can be derived from V208662;\n\nNow we have done all the calculations. Derived variables are:\nV208662 = 3;\nV610015 = 2;\n\nNow we have finished this problem. ANSWER:\nV208662\n", "role": "assistant" } ]

[ "V310521" ]

[ { "content": "<context>\nassign V743929 = V984760. assign V255086 = V318104 + 1. assign V203491 = V984760 - 1. assign V132364 = V197097 + 1. assign V969120 = V019375 + 1. assign V793875 = V594195 - 1. assign V807221 = V038290. assign V877544 = V538833 - 1. assign V322798 = V700595. assign V826451 = V678891. assign V745185 = V234905 - 1. assign V038290 = V745185 + 1. assign V209746 = V534601 + 1. assign V287369 = V594195 + 1. assign V234905 = V209746 - 1. assign V310521 = V233512 - 1. assign V533586 = V793875. assign V862337 = V984760 - 1. assign V414321 = V474999 + 1. assign V255512 = V177025 - 1. assign V678891 = V318104. assign V154244 = V255512. assign V416410 = V368408. assign V912264 = V474999 + 1. assign V775463 = V731003. assign V876347 = V803604 - 1. assign V731003 = V203491 + 1. assign V931636 = V373106 + 1. assign V062650 = V538833 + 1. assign V258448 = V322798 + 1. assign V233512 = 10. assign V803604 = V319448 - 1. assign V197097 = V373106. assign V175284 = V877544. assign V901354 = V561393. assign V502620 = V177025 - 1. assign V019375 = V955798. assign V854916 = V319448 + 1. assign V740529 = V368408 - 1. assign V452245 = V538833 - 1. assign V069680 = V007234. assign V594195 = V561393 - 1. assign V075450 = V877544 - 1. assign V793590 = V416410 - 1. assign V067811 = V901354 + 1. assign V630800 = V007234 - 1. assign V460280 = V678891. assign V261070 = V368408 + 1. assign V165186 = V019375 - 1. assign V079041 = V255086. assign V474999 = V373106. assign V290697 = V373106 + 1. assign V790182 = V197097 - 1. assign V984760 = V416410. assign V561393 = V373106 + 1. assign V773641 = V368408 - 1. assign V743114 = V678891 - 1. assign V060458 = V319448 + 1. assign V990244 = V069680 + 1. assign V579056 = V826451 + 1. assign V640736 = V373106 + 1. assign V538833 = V209746. assign V373106 = V958560 + 1. assign V493963 = V318104. assign V813678 = V826451. assign V654969 = V175284 + 1. assign V007234 = V912264. assign V265135 = V740529 + 1. assign V502409 = V955798 - 1. assign V192779 = V745185 + 1. assign V130117 = V984760 - 1. assign V111153 = V368408 + 1. assign V219776 = V234905 - 1. assign V955798 = V209746 + 1. assign V549889 = V368408 + 1. assign V604424 = V958560 + 1. assign V318104 = V594195. assign V368408 = V209746 + 1. assign V778019 = V533586. assign V534029 = V664994 - 1. assign V319448 = V069680. assign V664994 = V740529. assign V177025 = V019375 - 1. assign V702431 = V793590 + 1. assign V700595 = V793590 - 1. assign V534601 = V373106.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V743929 = V984760. assign V255086 = V318104 + 1. assign V203491 = V984760 - 1. assign V132364 = V197097 + 1. assign V969120 = V019375 + 1. assign V793875 = V594195 - 1. assign V807221 = V038290. assign V877544 = V538833 - 1. assign V322798 = V700595. assign V826451 = V678891. assign V745185 = V234905 - 1. assign V038290 = V745185 + 1. assign V209746 = V534601 + 1. assign V287369 = V594195 + 1. assign V234905 = V209746 - 1. assign V310521 = V233512 - 1. assign V533586 = V793875. assign V862337 = V984760 - 1. assign V414321 = V474999 + 1. assign V255512 = V177025 - 1. assign V678891 = V318104. assign V154244 = V255512. assign V416410 = V368408. assign V912264 = V474999 + 1. assign V775463 = V731003. assign V876347 = V803604 - 1. assign V731003 = V203491 + 1. assign V931636 = V373106 + 1. assign V062650 = V538833 + 1. assign V258448 = V322798 + 1. assign V233512 = 10. assign V803604 = V319448 - 1. assign V197097 = V373106. assign V175284 = V877544. assign V901354 = V561393. assign V502620 = V177025 - 1. assign V019375 = V955798. assign V854916 = V319448 + 1. assign V740529 = V368408 - 1. assign V452245 = V538833 - 1. assign V069680 = V007234. assign V594195 = V561393 - 1. assign V075450 = V877544 - 1. assign V793590 = V416410 - 1. assign V067811 = V901354 + 1. assign V630800 = V007234 - 1. assign V460280 = V678891. assign V261070 = V368408 + 1. assign V165186 = V019375 - 1. assign V079041 = V255086. assign V474999 = V373106. assign V290697 = V373106 + 1. assign V790182 = V197097 - 1. assign V984760 = V416410. assign V561393 = V373106 + 1. assign V773641 = V368408 - 1. assign V743114 = V678891 - 1. assign V060458 = V319448 + 1. assign V990244 = V069680 + 1. assign V579056 = V826451 + 1. assign V640736 = V373106 + 1. assign V538833 = V209746. assign V373106 = V958560 + 1. assign V493963 = V318104. assign V813678 = V826451. assign V654969 = V175284 + 1. assign V007234 = V912264. assign V265135 = V740529 + 1. assign V502409 = V955798 - 1. assign V192779 = V745185 + 1. assign V130117 = V984760 - 1. assign V111153 = V368408 + 1. assign V219776 = V234905 - 1. assign V955798 = V209746 + 1. assign V549889 = V368408 + 1. assign V604424 = V958560 + 1. assign V318104 = V594195. assign V368408 = V209746 + 1. assign V778019 = V533586. assign V534029 = V664994 - 1. assign V319448 = V069680. assign V664994 = V740529. assign V177025 = V019375 - 1. assign V702431 = V793590 + 1. assign V700595 = V793590 - 1. assign V534601 = V373106.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV233512 = 10;\n\nFrom these direct assignment(s), we have: \nV310521 = V233512 - 1 = 10 - 1 =9;\nNo other variables can be derived from V310521;\nNo other variables can be derived from V233512;\n\nNow we have done all the calculations. Derived variables are:\nV233512 = 10;\nV310521 = 9;\n\nNow we have finished this problem. ANSWER:\nV310521\n", "role": "assistant" } ]

[ "V986249", "V216780" ]

[ { "content": "<context>\nassign V582518 = V700582 + 1. assign V142463 = V665259. assign V507048 = V538538 - 1. assign V093801 = V865186 - 1. assign V568040 = V665259. assign V035530 = V900297. assign V237826 = V069947. assign V571974 = V925487 + 1. assign V233459 = V925487. assign V491006 = V700582 + 1. assign V842093 = V093801 - 1. assign V700582 = V093801 - 1. assign V231896 = V688919 + 1. assign V618396 = V150326 - 1. assign V663596 = V584251 + 1. assign V825691 = V584251 + 1. assign V193346 = V124584. assign V441923 = V779820 + 1. assign V124584 = V069947 - 1. assign V465040 = V673145. assign V481224 = V663596. assign V865186 = V715692 + 1. assign V216780 = V986249. assign V665259 = V800891. assign V828788 = V111031 + 1. assign V925487 = V568040. assign V703749 = V945623. assign V345254 = V217298 + 1. assign V900297 = V702817 - 1. assign V162140 = V150326 - 1. assign V494469 = V111031 - 1. assign V736490 = V344511. assign V678103 = V465040 + 1. assign V673145 = V688919 - 1. assign V170689 = V865186. assign V945623 = V702817 + 1. assign V250193 = V643335 + 1. assign V165173 = V231896 + 1. assign V560255 = V973075 - 1. assign V986249 = 0. assign V776829 = V193346 - 1. assign V643335 = V226528 + 1. assign V069947 = V865186. assign V222195 = V206125 - 1. assign V607457 = V696124. assign V123979 = V927744 - 1. assign V180890 = V507048 + 1. assign V711315 = V744089 - 1. assign V929111 = V665259 - 1. assign V702817 = V665259 - 1. assign V904323 = V665259 + 1. assign V344511 = V233459 - 1. assign V974329 = V973075 + 1. assign V153302 = V123979 + 1. assign V016369 = V715692. assign V741315 = V465040. assign V206125 = V665259. assign V128049 = V744089. assign V973075 = V702817. assign V581528 = V678103. assign V877504 = V538538 - 1. assign V620526 = V688919 - 1. assign V217298 = V584251 - 1. assign V226528 = V673145. assign V715692 = V744089. assign V647639 = V217298 - 1. assign V647136 = V560255 - 1. assign V800891 = V465040 - 1. assign V540328 = V825691 - 1. assign V538538 = V618396 + 1. assign V379011 = V491006 - 1. assign V006227 = V715692 + 1. assign V593619 = V973075. assign V744089 = V665259. assign V807808 = V711315. assign V111031 = V093801 + 1. assign V164628 = V715692. assign V945329 = V124584 + 1. assign V584251 = V688919 + 1. assign V945405 = V904323 + 1. assign V150326 = V744089. assign V067718 = V865186 + 1. assign V696124 = V678103 + 1. assign V927744 = V180890 - 1. assign V779820 = V744089 + 1. assign V320007 = V250193 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V582518 = V700582 + 1. assign V142463 = V665259. assign V507048 = V538538 - 1. assign V093801 = V865186 - 1. assign V568040 = V665259. assign V035530 = V900297. assign V237826 = V069947. assign V571974 = V925487 + 1. assign V233459 = V925487. assign V491006 = V700582 + 1. assign V842093 = V093801 - 1. assign V700582 = V093801 - 1. assign V231896 = V688919 + 1. assign V618396 = V150326 - 1. assign V663596 = V584251 + 1. assign V825691 = V584251 + 1. assign V193346 = V124584. assign V441923 = V779820 + 1. assign V124584 = V069947 - 1. assign V465040 = V673145. assign V481224 = V663596. assign V865186 = V715692 + 1. assign V216780 = V986249. assign V665259 = V800891. assign V828788 = V111031 + 1. assign V925487 = V568040. assign V703749 = V945623. assign V345254 = V217298 + 1. assign V900297 = V702817 - 1. assign V162140 = V150326 - 1. assign V494469 = V111031 - 1. assign V736490 = V344511. assign V678103 = V465040 + 1. assign V673145 = V688919 - 1. assign V170689 = V865186. assign V945623 = V702817 + 1. assign V250193 = V643335 + 1. assign V165173 = V231896 + 1. assign V560255 = V973075 - 1. assign V986249 = 0. assign V776829 = V193346 - 1. assign V643335 = V226528 + 1. assign V069947 = V865186. assign V222195 = V206125 - 1. assign V607457 = V696124. assign V123979 = V927744 - 1. assign V180890 = V507048 + 1. assign V711315 = V744089 - 1. assign V929111 = V665259 - 1. assign V702817 = V665259 - 1. assign V904323 = V665259 + 1. assign V344511 = V233459 - 1. assign V974329 = V973075 + 1. assign V153302 = V123979 + 1. assign V016369 = V715692. assign V741315 = V465040. assign V206125 = V665259. assign V128049 = V744089. assign V973075 = V702817. assign V581528 = V678103. assign V877504 = V538538 - 1. assign V620526 = V688919 - 1. assign V217298 = V584251 - 1. assign V226528 = V673145. assign V715692 = V744089. assign V647639 = V217298 - 1. assign V647136 = V560255 - 1. assign V800891 = V465040 - 1. assign V540328 = V825691 - 1. assign V538538 = V618396 + 1. assign V379011 = V491006 - 1. assign V006227 = V715692 + 1. assign V593619 = V973075. assign V744089 = V665259. assign V807808 = V711315. assign V111031 = V093801 + 1. assign V164628 = V715692. assign V945329 = V124584 + 1. assign V584251 = V688919 + 1. assign V945405 = V904323 + 1. assign V150326 = V744089. assign V067718 = V865186 + 1. assign V696124 = V678103 + 1. assign V927744 = V180890 - 1. assign V779820 = V744089 + 1. assign V320007 = V250193 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV986249 = 0;\n\nFrom these direct assignment(s), we have: \nV216780 = V986249 = 0;\nNo other variables can be derived from V216780;\nNo other variables can be derived from V986249;\n\nNow we have done all the calculations. Derived variables are:\nV986249 = 0;\nV216780 = 0;\n\nNow we have finished this problem. ANSWER:\nV986249, V216780\n", "role": "assistant" } ]

[ "V342862" ]

[ { "content": "<context>\nassign V241286 = V879235 + 1. assign V081771 = V095716. assign V678253 = V550630 + 1. assign V549020 = V086151 + 1. assign V095716 = V819935 - 1. assign V465867 = V219369 + 1. assign V213589 = V459088 - 1. assign V514065 = V219689 + 1. assign V392821 = V765076 - 1. assign V948915 = V904787. assign V020643 = 9. assign V546962 = V751133 - 1. assign V376751 = V924990 - 1. assign V026748 = V454441 - 1. assign V249605 = V927653 + 1. assign V879235 = V362779 + 1. assign V461250 = V219689 - 1. assign V342862 = V020643 + 1. assign V413950 = V901216 - 1. assign V807870 = V652348. assign V154085 = V033275 + 1. assign V979836 = V454441 - 1. assign V300414 = V454441. assign V873764 = V131727 - 1. assign V904787 = V362779 - 1. assign V723708 = V546962 - 1. assign V800441 = V231459. assign V369347 = V886781. assign V941919 = V086151. assign V886781 = V550910. assign V228282 = V376751 + 1. assign V459088 = V550630. assign V693002 = V459088. assign V443959 = V819935 - 1. assign V494717 = V904787 + 1. assign V819935 = V755315 - 1. assign V860226 = V280298 + 1. assign V063431 = V231459 + 1. assign V139759 = V461250. assign V219689 = V755315 - 1. assign V927653 = V413950 - 1. assign V333977 = V514065 + 1. assign V305537 = V549020 - 1. assign V410501 = V128746 - 1. assign V652348 = V546962. assign V206443 = V226234 - 1. assign V920092 = V546962 - 1. assign V131727 = V250350. assign V550630 = V755315 - 1. assign V901216 = V300414 - 1. assign V028743 = V652348. assign V454441 = V219689 + 1. assign V044224 = V819935. assign V950321 = V924990 + 1. assign V127046 = V652348. assign V086151 = V300414 + 1. assign V706224 = V095716 + 1. assign V777900 = V550910 - 1. assign V457150 = V086151 - 1. assign V389142 = V873764 + 1. assign V899921 = V550630 + 1. assign V898759 = V250350. assign V442994 = V231459 - 1. assign V039623 = V755315 - 1. assign V783041 = V765076. assign V538073 = V219689. assign V219369 = V879235 + 1. assign V033275 = V550910. assign V765076 = V755315 - 1. assign V455057 = V333977. assign V280298 = V765076. assign V128746 = V550910 + 1. assign V924990 = V546962 - 1. assign V250350 = V765076 - 1. assign V530311 = V514065. assign V751133 = V362779 - 1. assign V162388 = V755315 - 1. assign V550910 = V250350. assign V690445 = V300414. assign V833701 = V777900. assign V226234 = V300414. assign V357835 = V461250. assign V231459 = V678253 - 1. assign V236408 = V550910 - 1. assign V097421 = V546962 - 1. assign V362779 = V550630 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V241286 = V879235 + 1. assign V081771 = V095716. assign V678253 = V550630 + 1. assign V549020 = V086151 + 1. assign V095716 = V819935 - 1. assign V465867 = V219369 + 1. assign V213589 = V459088 - 1. assign V514065 = V219689 + 1. assign V392821 = V765076 - 1. assign V948915 = V904787. assign V020643 = 9. assign V546962 = V751133 - 1. assign V376751 = V924990 - 1. assign V026748 = V454441 - 1. assign V249605 = V927653 + 1. assign V879235 = V362779 + 1. assign V461250 = V219689 - 1. assign V342862 = V020643 + 1. assign V413950 = V901216 - 1. assign V807870 = V652348. assign V154085 = V033275 + 1. assign V979836 = V454441 - 1. assign V300414 = V454441. assign V873764 = V131727 - 1. assign V904787 = V362779 - 1. assign V723708 = V546962 - 1. assign V800441 = V231459. assign V369347 = V886781. assign V941919 = V086151. assign V886781 = V550910. assign V228282 = V376751 + 1. assign V459088 = V550630. assign V693002 = V459088. assign V443959 = V819935 - 1. assign V494717 = V904787 + 1. assign V819935 = V755315 - 1. assign V860226 = V280298 + 1. assign V063431 = V231459 + 1. assign V139759 = V461250. assign V219689 = V755315 - 1. assign V927653 = V413950 - 1. assign V333977 = V514065 + 1. assign V305537 = V549020 - 1. assign V410501 = V128746 - 1. assign V652348 = V546962. assign V206443 = V226234 - 1. assign V920092 = V546962 - 1. assign V131727 = V250350. assign V550630 = V755315 - 1. assign V901216 = V300414 - 1. assign V028743 = V652348. assign V454441 = V219689 + 1. assign V044224 = V819935. assign V950321 = V924990 + 1. assign V127046 = V652348. assign V086151 = V300414 + 1. assign V706224 = V095716 + 1. assign V777900 = V550910 - 1. assign V457150 = V086151 - 1. assign V389142 = V873764 + 1. assign V899921 = V550630 + 1. assign V898759 = V250350. assign V442994 = V231459 - 1. assign V039623 = V755315 - 1. assign V783041 = V765076. assign V538073 = V219689. assign V219369 = V879235 + 1. assign V033275 = V550910. assign V765076 = V755315 - 1. assign V455057 = V333977. assign V280298 = V765076. assign V128746 = V550910 + 1. assign V924990 = V546962 - 1. assign V250350 = V765076 - 1. assign V530311 = V514065. assign V751133 = V362779 - 1. assign V162388 = V755315 - 1. assign V550910 = V250350. assign V690445 = V300414. assign V833701 = V777900. assign V226234 = V300414. assign V357835 = V461250. assign V231459 = V678253 - 1. assign V236408 = V550910 - 1. assign V097421 = V546962 - 1. assign V362779 = V550630 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV020643 = 9;\n\nFrom these direct assignment(s), we have: \nV342862 = V020643 + 1 = 9 + 1 =10;\nNo other variables can be derived from V342862;\nNo other variables can be derived from V020643;\n\nNow we have done all the calculations. Derived variables are:\nV020643 = 9;\nV342862 = 10;\n\nNow we have finished this problem. ANSWER:\nV342862\n", "role": "assistant" } ]

[ "V436900" ]

[ { "content": "<context>\nassign V053313 = V241205. assign V366978 = V621717 - 1. assign V230370 = V139359 - 1. assign V674224 = V194283 + 1. assign V869554 = V918240 - 1. assign V018082 = V318777 - 1. assign V857773 = V382594. assign V502429 = V333882. assign V178975 = V216630. assign V232880 = V741027. assign V741027 = V541645. assign V087628 = V501822 - 1. assign V501822 = V869554. assign V445952 = V099177 + 1. assign V304133 = V866481 + 1. assign V046301 = V672219 + 1. assign V087222 = V093436. assign V152395 = V918240. assign V313465 = V099177 - 1. assign V973396 = V840684 + 1. assign V382594 = V840684 + 1. assign V621717 = V869554 + 1. assign V609614 = V386843. assign V396339 = V621717 - 1. assign V159621 = V386843. assign V318777 = V869554 - 1. assign V531303 = V053313 + 1. assign V321715 = V973396 - 1. assign V541488 = V883184 + 1. assign V190900 = V487946. assign V831138 = V918240. assign V972712 = V950607. assign V038625 = V022301 + 1. assign V541645 = V541488 + 1. assign V672219 = V152395 + 1. assign V950607 = V883184. assign V487946 = V304133 - 1. assign V436900 = V364007 + 1. assign V439391 = V232880 - 1. assign V759361 = V313465. assign V022301 = V840367 + 1. assign V339387 = V083954. assign V632225 = V374293 - 1. assign V918240 = V883184 + 1. assign V216630 = V621717. assign V609529 = V046301 + 1. assign V194283 = V621717 - 1. assign V139359 = V345863 - 1. assign V099177 = V869554. assign V333882 = V159621. assign V817495 = V333882 - 1. assign V806491 = V159621 + 1. assign V319267 = V609529 + 1. assign V951644 = V046301 + 1. assign V241205 = V159621 + 1. assign V938973 = V093436 + 1. assign V660051 = V178975. assign V580243 = V318777 + 1. assign V586441 = V502429. assign V058651 = V321715. assign V840367 = V950607 - 1. assign V225160 = V216630 - 1. assign V840684 = V087222 + 1. assign V471437 = V078265 + 1. assign V083954 = V159621 - 1. assign V963889 = V151696 + 1. assign V586485 = V386843 - 1. assign V603933 = V194283. assign V663990 = V972712 + 1. assign V078265 = V950607. assign V151696 = V621717. assign V093436 = V108798. assign V963908 = V386843. assign V891344 = V963889 - 1. assign V317063 = V817495 - 1. assign V329469 = V151696. assign V561928 = V087222 + 1. assign V600799 = V159621 + 1. assign V345863 = V159621 - 1. assign V108798 = V386843 + 1. assign V374293 = V087222 - 1. assign V094796 = V502429 - 1. assign V364007 = 6. assign V866481 = V541645 - 1. assign V156089 = V345863. assign V386843 = V840367 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V053313 = V241205. assign V366978 = V621717 - 1. assign V230370 = V139359 - 1. assign V674224 = V194283 + 1. assign V869554 = V918240 - 1. assign V018082 = V318777 - 1. assign V857773 = V382594. assign V502429 = V333882. assign V178975 = V216630. assign V232880 = V741027. assign V741027 = V541645. assign V087628 = V501822 - 1. assign V501822 = V869554. assign V445952 = V099177 + 1. assign V304133 = V866481 + 1. assign V046301 = V672219 + 1. assign V087222 = V093436. assign V152395 = V918240. assign V313465 = V099177 - 1. assign V973396 = V840684 + 1. assign V382594 = V840684 + 1. assign V621717 = V869554 + 1. assign V609614 = V386843. assign V396339 = V621717 - 1. assign V159621 = V386843. assign V318777 = V869554 - 1. assign V531303 = V053313 + 1. assign V321715 = V973396 - 1. assign V541488 = V883184 + 1. assign V190900 = V487946. assign V831138 = V918240. assign V972712 = V950607. assign V038625 = V022301 + 1. assign V541645 = V541488 + 1. assign V672219 = V152395 + 1. assign V950607 = V883184. assign V487946 = V304133 - 1. assign V436900 = V364007 + 1. assign V439391 = V232880 - 1. assign V759361 = V313465. assign V022301 = V840367 + 1. assign V339387 = V083954. assign V632225 = V374293 - 1. assign V918240 = V883184 + 1. assign V216630 = V621717. assign V609529 = V046301 + 1. assign V194283 = V621717 - 1. assign V139359 = V345863 - 1. assign V099177 = V869554. assign V333882 = V159621. assign V817495 = V333882 - 1. assign V806491 = V159621 + 1. assign V319267 = V609529 + 1. assign V951644 = V046301 + 1. assign V241205 = V159621 + 1. assign V938973 = V093436 + 1. assign V660051 = V178975. assign V580243 = V318777 + 1. assign V586441 = V502429. assign V058651 = V321715. assign V840367 = V950607 - 1. assign V225160 = V216630 - 1. assign V840684 = V087222 + 1. assign V471437 = V078265 + 1. assign V083954 = V159621 - 1. assign V963889 = V151696 + 1. assign V586485 = V386843 - 1. assign V603933 = V194283. assign V663990 = V972712 + 1. assign V078265 = V950607. assign V151696 = V621717. assign V093436 = V108798. assign V963908 = V386843. assign V891344 = V963889 - 1. assign V317063 = V817495 - 1. assign V329469 = V151696. assign V561928 = V087222 + 1. assign V600799 = V159621 + 1. assign V345863 = V159621 - 1. assign V108798 = V386843 + 1. assign V374293 = V087222 - 1. assign V094796 = V502429 - 1. assign V364007 = 6. assign V866481 = V541645 - 1. assign V156089 = V345863. assign V386843 = V840367 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV364007 = 6;\n\nFrom these direct assignment(s), we have: \nV436900 = V364007 + 1 = 6 + 1 =7;\nNo other variables can be derived from V436900;\nNo other variables can be derived from V364007;\n\nNow we have done all the calculations. Derived variables are:\nV364007 = 6;\nV436900 = 7;\n\nNow we have finished this problem. ANSWER:\nV436900\n", "role": "assistant" } ]

[ "V871463", "V473677" ]

[ { "content": "<context>\nassign V949223 = V940738 + 1. assign V534835 = V992831. assign V659066 = V066438 + 1. assign V488153 = V713136 - 1. assign V449350 = V339541 - 1. assign V240098 = V692398 - 1. assign V624561 = V425024 - 1. assign V900598 = V891777 - 1. assign V783994 = V918558. assign V505242 = V278884 - 1. assign V907203 = V775176 - 1. assign V746964 = V992831 + 1. assign V461310 = V264125. assign V713136 = V088658 - 1. assign V940738 = V746964 + 1. assign V044749 = V790441. assign V210218 = V008579 + 1. assign V291232 = V709526 + 1. assign V264125 = V624561. assign V891777 = V008579 + 1. assign V613935 = V746964. assign V196542 = V891777. assign V775176 = V891777. assign V339541 = V736815. assign V709526 = V008579 + 1. assign V847637 = V602078. assign V713810 = V790441. assign V343520 = V758014 + 1. assign V306892 = V461310 + 1. assign V154279 = V783994. assign V436606 = V210218 - 1. assign V654491 = V469925 - 1. assign V958261 = V659066 - 1. assign V066438 = V008579. assign V278884 = V469925 - 1. assign V035171 = V709526 + 1. assign V168877 = V566778 - 1. assign V758014 = V291232 - 1. assign V790441 = V992831 - 1. assign V871463 = 9. assign V827417 = V992831 + 1. assign V457972 = V012622 - 1. assign V485996 = V758014. assign V284963 = V758014. assign V687897 = V709526. assign V548342 = V008579 + 1. assign V992831 = V291232. assign V552946 = V505242. assign V586092 = V066438 + 1. assign V012622 = V758014. assign V566778 = V891777 - 1. assign V969465 = V306892. assign V619933 = V783994 + 1. assign V750560 = V791726. assign V692398 = V012622. assign V989566 = V430945. assign V013924 = V847637. assign V425024 = V066438 - 1. assign V191167 = V709526. assign V088658 = V291232. assign V512535 = V008579 + 1. assign V921164 = V736815. assign V135365 = V783994 - 1. assign V430945 = V339541 - 1. assign V933072 = V758014 + 1. assign V473677 = V871463. assign V982370 = V485996 + 1. assign V602354 = V339541 + 1. assign V716058 = V602078 + 1. assign V964048 = V992831 - 1. assign V469925 = V687897 + 1. assign V741668 = V504213. assign V445571 = V716058 + 1. assign V463513 = V741668 + 1. assign V465224 = V264125 - 1. assign V410322 = V746964 + 1. assign V736815 = V066438. assign V941550 = V469925 + 1. assign V552045 = V687897 + 1. assign V956045 = V008579 + 1. assign V791726 = V066438. assign V239120 = V736815 + 1. assign V918558 = V933072. assign V504213 = V713136. assign V614940 = V940738 + 1. assign V602078 = V736815 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V949223 = V940738 + 1. assign V534835 = V992831. assign V659066 = V066438 + 1. assign V488153 = V713136 - 1. assign V449350 = V339541 - 1. assign V240098 = V692398 - 1. assign V624561 = V425024 - 1. assign V900598 = V891777 - 1. assign V783994 = V918558. assign V505242 = V278884 - 1. assign V907203 = V775176 - 1. assign V746964 = V992831 + 1. assign V461310 = V264125. assign V713136 = V088658 - 1. assign V940738 = V746964 + 1. assign V044749 = V790441. assign V210218 = V008579 + 1. assign V291232 = V709526 + 1. assign V264125 = V624561. assign V891777 = V008579 + 1. assign V613935 = V746964. assign V196542 = V891777. assign V775176 = V891777. assign V339541 = V736815. assign V709526 = V008579 + 1. assign V847637 = V602078. assign V713810 = V790441. assign V343520 = V758014 + 1. assign V306892 = V461310 + 1. assign V154279 = V783994. assign V436606 = V210218 - 1. assign V654491 = V469925 - 1. assign V958261 = V659066 - 1. assign V066438 = V008579. assign V278884 = V469925 - 1. assign V035171 = V709526 + 1. assign V168877 = V566778 - 1. assign V758014 = V291232 - 1. assign V790441 = V992831 - 1. assign V871463 = 9. assign V827417 = V992831 + 1. assign V457972 = V012622 - 1. assign V485996 = V758014. assign V284963 = V758014. assign V687897 = V709526. assign V548342 = V008579 + 1. assign V992831 = V291232. assign V552946 = V505242. assign V586092 = V066438 + 1. assign V012622 = V758014. assign V566778 = V891777 - 1. assign V969465 = V306892. assign V619933 = V783994 + 1. assign V750560 = V791726. assign V692398 = V012622. assign V989566 = V430945. assign V013924 = V847637. assign V425024 = V066438 - 1. assign V191167 = V709526. assign V088658 = V291232. assign V512535 = V008579 + 1. assign V921164 = V736815. assign V135365 = V783994 - 1. assign V430945 = V339541 - 1. assign V933072 = V758014 + 1. assign V473677 = V871463. assign V982370 = V485996 + 1. assign V602354 = V339541 + 1. assign V716058 = V602078 + 1. assign V964048 = V992831 - 1. assign V469925 = V687897 + 1. assign V741668 = V504213. assign V445571 = V716058 + 1. assign V463513 = V741668 + 1. assign V465224 = V264125 - 1. assign V410322 = V746964 + 1. assign V736815 = V066438. assign V941550 = V469925 + 1. assign V552045 = V687897 + 1. assign V956045 = V008579 + 1. assign V791726 = V066438. assign V239120 = V736815 + 1. assign V918558 = V933072. assign V504213 = V713136. assign V614940 = V940738 + 1. assign V602078 = V736815 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV871463 = 9;\n\nFrom these direct assignment(s), we have: \nV473677 = V871463 = 9;\nNo other variables can be derived from V473677;\nNo other variables can be derived from V871463;\n\nNow we have done all the calculations. Derived variables are:\nV871463 = 9;\nV473677 = 9;\n\nNow we have finished this problem. ANSWER:\nV871463, V473677\n", "role": "assistant" } ]

[ "V984451" ]

[ { "content": "<context>\nassign V732781 = V776054 + 1. assign V002453 = V914695 - 1. assign V334210 = V419522 + 1. assign V115276 = V004390. assign V580752 = V987848. assign V937787 = V177156. assign V949285 = V842381 - 1. assign V197586 = V722216 + 1. assign V605147 = V535369 + 1. assign V360643 = V987848. assign V338687 = V449985 + 1. assign V199777 = V842381. assign V343009 = V432995 - 1. assign V491754 = V334210 + 1. assign V984451 = 5. assign V080500 = V360643 - 1. assign V976269 = V583165 - 1. assign V182272 = V005039 - 1. assign V318408 = V842381 - 1. assign V191728 = V842381 - 1. assign V591710 = V722216. assign V234727 = V115276. assign V835406 = V117747 - 1. assign V517630 = V117747 + 1. assign V445381 = V108727 + 1. assign V987848 = V753973 - 1. assign V585991 = V753973 + 1. assign V432256 = V842381 - 1. assign V677715 = V022070. assign V583165 = V776054 + 1. assign V833220 = V583165 + 1. assign V618666 = V889983 + 1. assign V746766 = V115276. assign V744120 = V109840. assign V008399 = V234727 + 1. assign V917219 = V117747 - 1. assign V598686 = V863571 + 1. assign V776054 = V334210. assign V432995 = V746766 + 1. assign V292043 = V449985 + 1. assign V556065 = V863571 + 1. assign V005039 = V333638 - 1. assign V410506 = V984451 - 1. assign V682629 = V004390 - 1. assign V446756 = V722216 - 1. assign V764515 = V677715 - 1. assign V718248 = V753973. assign V317516 = V776054 - 1. assign V317978 = V117747 + 1. assign V333638 = V746766 - 1. assign V754960 = V199777 + 1. assign V014754 = V517630 + 1. assign V017118 = V022070 - 1. assign V376463 = V677715. assign V853590 = V117747 + 1. assign V788378 = V788864 - 1. assign V914695 = V722216 - 1. assign V831288 = V746766 + 1. assign V022070 = V419522 - 1. assign V963862 = V376463 - 1. assign V863571 = V022070. assign V565052 = V605147 + 1. assign V722216 = V199777. assign V004390 = V199777. assign V535369 = V987848 - 1. assign V753973 = V117747 - 1. assign V582493 = V937787 + 1. assign V614598 = V746766. assign V889983 = V449985. assign V788864 = V117747 - 1. assign V377012 = V556065 - 1. assign V742461 = V917219. assign V108727 = V004390. assign V177156 = V419522 + 1. assign V449985 = V419522. assign V094748 = V517630. assign V855926 = V556065 + 1. assign V067886 = V889983 + 1. assign V419522 = V004390. assign V458738 = V318408 + 1. assign V117747 = V722216 - 1. assign V109840 = V722216 - 1. assign V927635 = V742461 - 1. assign V594473 = V842381. assign V941350 = V067886. assign V768750 = V917219.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V732781 = V776054 + 1. assign V002453 = V914695 - 1. assign V334210 = V419522 + 1. assign V115276 = V004390. assign V580752 = V987848. assign V937787 = V177156. assign V949285 = V842381 - 1. assign V197586 = V722216 + 1. assign V605147 = V535369 + 1. assign V360643 = V987848. assign V338687 = V449985 + 1. assign V199777 = V842381. assign V343009 = V432995 - 1. assign V491754 = V334210 + 1. assign V984451 = 5. assign V080500 = V360643 - 1. assign V976269 = V583165 - 1. assign V182272 = V005039 - 1. assign V318408 = V842381 - 1. assign V191728 = V842381 - 1. assign V591710 = V722216. assign V234727 = V115276. assign V835406 = V117747 - 1. assign V517630 = V117747 + 1. assign V445381 = V108727 + 1. assign V987848 = V753973 - 1. assign V585991 = V753973 + 1. assign V432256 = V842381 - 1. assign V677715 = V022070. assign V583165 = V776054 + 1. assign V833220 = V583165 + 1. assign V618666 = V889983 + 1. assign V746766 = V115276. assign V744120 = V109840. assign V008399 = V234727 + 1. assign V917219 = V117747 - 1. assign V598686 = V863571 + 1. assign V776054 = V334210. assign V432995 = V746766 + 1. assign V292043 = V449985 + 1. assign V556065 = V863571 + 1. assign V005039 = V333638 - 1. assign V410506 = V984451 - 1. assign V682629 = V004390 - 1. assign V446756 = V722216 - 1. assign V764515 = V677715 - 1. assign V718248 = V753973. assign V317516 = V776054 - 1. assign V317978 = V117747 + 1. assign V333638 = V746766 - 1. assign V754960 = V199777 + 1. assign V014754 = V517630 + 1. assign V017118 = V022070 - 1. assign V376463 = V677715. assign V853590 = V117747 + 1. assign V788378 = V788864 - 1. assign V914695 = V722216 - 1. assign V831288 = V746766 + 1. assign V022070 = V419522 - 1. assign V963862 = V376463 - 1. assign V863571 = V022070. assign V565052 = V605147 + 1. assign V722216 = V199777. assign V004390 = V199777. assign V535369 = V987848 - 1. assign V753973 = V117747 - 1. assign V582493 = V937787 + 1. assign V614598 = V746766. assign V889983 = V449985. assign V788864 = V117747 - 1. assign V377012 = V556065 - 1. assign V742461 = V917219. assign V108727 = V004390. assign V177156 = V419522 + 1. assign V449985 = V419522. assign V094748 = V517630. assign V855926 = V556065 + 1. assign V067886 = V889983 + 1. assign V419522 = V004390. assign V458738 = V318408 + 1. assign V117747 = V722216 - 1. assign V109840 = V722216 - 1. assign V927635 = V742461 - 1. assign V594473 = V842381. assign V941350 = V067886. assign V768750 = V917219.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV984451 = 5;\n\nFrom these direct assignment(s), we have: \nV410506 = V984451 - 1 = 5 - 1 =4;\nNo other variables can be derived from V410506;\nNo other variables can be derived from V984451;\n\nNow we have done all the calculations. Derived variables are:\nV984451 = 5;\nV410506 = 4;\n\nNow we have finished this problem. ANSWER:\nV984451\n", "role": "assistant" } ]

[ "V696828" ]

[ { "content": "<context>\nassign V080736 = V609193 - 1. assign V197504 = V072647 + 1. assign V997207 = V281663 - 1. assign V077519 = V072647 - 1. assign V498939 = V978209 + 1. assign V142228 = V787853. assign V787853 = V028473 + 1. assign V960644 = V474938 - 1. assign V987889 = V732507 + 1. assign V986704 = V186752 + 1. assign V862053 = V895745. assign V759610 = V998184 - 1. assign V108928 = V474938 + 1. assign V744079 = V474938 - 1. assign V416296 = V987889. assign V860284 = V759610 + 1. assign V277805 = V881605 + 1. assign V327622 = V028473 - 1. assign V766858 = V746360 - 1. assign V609193 = V881605 + 1. assign V537611 = V194380 - 1. assign V150828 = V713869 - 1. assign V608420 = V903019 + 1. assign V713869 = V186752 - 1. assign V764911 = V723199 + 1. assign V541764 = V488189 + 1. assign V908088 = V277805 + 1. assign V881605 = V998184 + 1. assign V474826 = V758268 - 1. assign V281663 = V197504 + 1. assign V347076 = V787853 + 1. assign V846200 = V407833 - 1. assign V895745 = V987889 + 1. assign V028473 = V903019 + 1. assign V407833 = V903019 - 1. assign V914783 = V347076 - 1. assign V776644 = V072647 - 1. assign V746360 = V407833 + 1. assign V846411 = V748120 + 1. assign V693190 = V407833. assign V474938 = V277805 + 1. assign V843678 = V879891 + 1. assign V024533 = V150828. assign V748120 = V912235 - 1. assign V775586 = V732507 + 1. assign V663323 = V732507 - 1. assign V723199 = V903019 - 1. assign V143871 = V407833. assign V385793 = V723199. assign V566423 = V645487 - 1. assign V400478 = V186752 + 1. assign V149612 = V879891 + 1. assign V409495 = V108928 + 1. assign V362250 = V609193 + 1. assign V551555 = V407833 - 1. assign V488189 = V416296 - 1. assign V183677 = V764911. assign V578657 = V987889. assign V149495 = V843678. assign V541012 = V759610 + 1. assign V732507 = V143871 + 1. assign V973739 = V307776 + 1. assign V645487 = V758268 - 1. assign V557737 = V400478. assign V043216 = V541012. assign V912235 = V072647 + 1. assign V991554 = V696828 - 1. assign V535929 = V808339. assign V686057 = V645487. assign V879891 = V693190. assign V909330 = V693190. assign V696828 = 4. assign V368514 = V488189 + 1. assign V978209 = V744079 - 1. assign V903019 = V998184 + 1. assign V307776 = V186752. assign V194380 = V776644 + 1. assign V400363 = V541764 + 1. assign V937341 = V860284 - 1. assign V758268 = V879891. assign V248006 = V881605 + 1. assign V808339 = V686057 - 1. assign V186752 = V072647 - 1. assign V998184 = V072647 + 1. assign V963287 = V881605 + 1. assign V918931 = V072647 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V080736 = V609193 - 1. assign V197504 = V072647 + 1. assign V997207 = V281663 - 1. assign V077519 = V072647 - 1. assign V498939 = V978209 + 1. assign V142228 = V787853. assign V787853 = V028473 + 1. assign V960644 = V474938 - 1. assign V987889 = V732507 + 1. assign V986704 = V186752 + 1. assign V862053 = V895745. assign V759610 = V998184 - 1. assign V108928 = V474938 + 1. assign V744079 = V474938 - 1. assign V416296 = V987889. assign V860284 = V759610 + 1. assign V277805 = V881605 + 1. assign V327622 = V028473 - 1. assign V766858 = V746360 - 1. assign V609193 = V881605 + 1. assign V537611 = V194380 - 1. assign V150828 = V713869 - 1. assign V608420 = V903019 + 1. assign V713869 = V186752 - 1. assign V764911 = V723199 + 1. assign V541764 = V488189 + 1. assign V908088 = V277805 + 1. assign V881605 = V998184 + 1. assign V474826 = V758268 - 1. assign V281663 = V197504 + 1. assign V347076 = V787853 + 1. assign V846200 = V407833 - 1. assign V895745 = V987889 + 1. assign V028473 = V903019 + 1. assign V407833 = V903019 - 1. assign V914783 = V347076 - 1. assign V776644 = V072647 - 1. assign V746360 = V407833 + 1. assign V846411 = V748120 + 1. assign V693190 = V407833. assign V474938 = V277805 + 1. assign V843678 = V879891 + 1. assign V024533 = V150828. assign V748120 = V912235 - 1. assign V775586 = V732507 + 1. assign V663323 = V732507 - 1. assign V723199 = V903019 - 1. assign V143871 = V407833. assign V385793 = V723199. assign V566423 = V645487 - 1. assign V400478 = V186752 + 1. assign V149612 = V879891 + 1. assign V409495 = V108928 + 1. assign V362250 = V609193 + 1. assign V551555 = V407833 - 1. assign V488189 = V416296 - 1. assign V183677 = V764911. assign V578657 = V987889. assign V149495 = V843678. assign V541012 = V759610 + 1. assign V732507 = V143871 + 1. assign V973739 = V307776 + 1. assign V645487 = V758268 - 1. assign V557737 = V400478. assign V043216 = V541012. assign V912235 = V072647 + 1. assign V991554 = V696828 - 1. assign V535929 = V808339. assign V686057 = V645487. assign V879891 = V693190. assign V909330 = V693190. assign V696828 = 4. assign V368514 = V488189 + 1. assign V978209 = V744079 - 1. assign V903019 = V998184 + 1. assign V307776 = V186752. assign V194380 = V776644 + 1. assign V400363 = V541764 + 1. assign V937341 = V860284 - 1. assign V758268 = V879891. assign V248006 = V881605 + 1. assign V808339 = V686057 - 1. assign V186752 = V072647 - 1. assign V998184 = V072647 + 1. assign V963287 = V881605 + 1. assign V918931 = V072647 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV696828 = 4;\n\nFrom these direct assignment(s), we have: \nV991554 = V696828 - 1 = 4 - 1 =3;\nNo other variables can be derived from V991554;\nNo other variables can be derived from V696828;\n\nNow we have done all the calculations. Derived variables are:\nV696828 = 4;\nV991554 = 3;\n\nNow we have finished this problem. ANSWER:\nV696828\n", "role": "assistant" } ]

[ "V169041" ]

[ { "content": "<context>\nassign V156253 = V263994. assign V576114 = V076854 + 1. assign V571970 = V104563 + 1. assign V633984 = V099729 + 1. assign V376177 = V530557. assign V700034 = V305601 - 1. assign V409046 = V229789. assign V752781 = V352129 - 1. assign V145832 = V752781. assign V263994 = V462513 + 1. assign V233364 = V209601 - 1. assign V516535 = V685383 - 1. assign V934519 = V263994 + 1. assign V827679 = V573210 - 1. assign V305601 = V352129. assign V411802 = V519587 - 1. assign V398463 = V215734 + 1. assign V822671 = V409046 + 1. assign V402721 = V462513 - 1. assign V283750 = V362794 - 1. assign V114505 = V462513 - 1. assign V519587 = V945367. assign V851902 = V997808. assign V209601 = V352129 - 1. assign V695898 = V462513. assign V726560 = V719398 + 1. assign V110391 = V402721 - 1. assign V047097 = V194114. assign V713098 = V251830. assign V042634 = V091759 - 1. assign V069927 = V352129 - 1. assign V215734 = V263994 + 1. assign V573210 = V409046. assign V945367 = V560253 + 1. assign V427837 = V973942 - 1. assign V244411 = V047097 + 1. assign V782384 = V752781. assign V541686 = V114113 + 1. assign V811238 = V362794. assign V099729 = V945367 + 1. assign V104563 = V692119 - 1. assign V773432 = V997808 + 1. assign V091759 = V352129. assign V719398 = V775049. assign V194114 = V402721 + 1. assign V673822 = V811238 + 1. assign V700927 = V785997 - 1. assign V726843 = V945367 + 1. assign V312400 = V785997. assign V571615 = V692119 + 1. assign V229789 = V560253. assign V893512 = V209601 + 1. assign V973942 = V802634 - 1. assign V060937 = V312400 - 1. assign V289190 = V700034 + 1. assign V785997 = V560253 - 1. assign V017318 = V069927. assign V778464 = V324949. assign V038245 = V726560 - 1. assign V362794 = V893512. assign V802634 = V069927 + 1. assign V704857 = V194114 + 1. assign V597026 = V015412 + 1. assign V352129 = V945367 - 1. assign V997808 = V893512. assign V114113 = V700927. assign V682873 = V411802. assign V928219 = V519587 - 1. assign V324949 = V700927. assign V692119 = V945367 + 1. assign V169731 = V519587 - 1. assign V169041 = 4. assign V775049 = V692119 - 1. assign V524717 = V687579 - 1. assign V560253 = V076854 - 1. assign V913986 = V145832. assign V183980 = V402721 - 1. assign V889859 = V145832. assign V530557 = V183980 - 1. assign V685383 = V156253 - 1. assign V644115 = V169041 + 1. assign V251830 = V726843 - 1. assign V015412 = V462513. assign V462513 = V560253 + 1. assign V083282 = V945367 - 1. assign V687579 = V530557 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V156253 = V263994. assign V576114 = V076854 + 1. assign V571970 = V104563 + 1. assign V633984 = V099729 + 1. assign V376177 = V530557. assign V700034 = V305601 - 1. assign V409046 = V229789. assign V752781 = V352129 - 1. assign V145832 = V752781. assign V263994 = V462513 + 1. assign V233364 = V209601 - 1. assign V516535 = V685383 - 1. assign V934519 = V263994 + 1. assign V827679 = V573210 - 1. assign V305601 = V352129. assign V411802 = V519587 - 1. assign V398463 = V215734 + 1. assign V822671 = V409046 + 1. assign V402721 = V462513 - 1. assign V283750 = V362794 - 1. assign V114505 = V462513 - 1. assign V519587 = V945367. assign V851902 = V997808. assign V209601 = V352129 - 1. assign V695898 = V462513. assign V726560 = V719398 + 1. assign V110391 = V402721 - 1. assign V047097 = V194114. assign V713098 = V251830. assign V042634 = V091759 - 1. assign V069927 = V352129 - 1. assign V215734 = V263994 + 1. assign V573210 = V409046. assign V945367 = V560253 + 1. assign V427837 = V973942 - 1. assign V244411 = V047097 + 1. assign V782384 = V752781. assign V541686 = V114113 + 1. assign V811238 = V362794. assign V099729 = V945367 + 1. assign V104563 = V692119 - 1. assign V773432 = V997808 + 1. assign V091759 = V352129. assign V719398 = V775049. assign V194114 = V402721 + 1. assign V673822 = V811238 + 1. assign V700927 = V785997 - 1. assign V726843 = V945367 + 1. assign V312400 = V785997. assign V571615 = V692119 + 1. assign V229789 = V560253. assign V893512 = V209601 + 1. assign V973942 = V802634 - 1. assign V060937 = V312400 - 1. assign V289190 = V700034 + 1. assign V785997 = V560253 - 1. assign V017318 = V069927. assign V778464 = V324949. assign V038245 = V726560 - 1. assign V362794 = V893512. assign V802634 = V069927 + 1. assign V704857 = V194114 + 1. assign V597026 = V015412 + 1. assign V352129 = V945367 - 1. assign V997808 = V893512. assign V114113 = V700927. assign V682873 = V411802. assign V928219 = V519587 - 1. assign V324949 = V700927. assign V692119 = V945367 + 1. assign V169731 = V519587 - 1. assign V169041 = 4. assign V775049 = V692119 - 1. assign V524717 = V687579 - 1. assign V560253 = V076854 - 1. assign V913986 = V145832. assign V183980 = V402721 - 1. assign V889859 = V145832. assign V530557 = V183980 - 1. assign V685383 = V156253 - 1. assign V644115 = V169041 + 1. assign V251830 = V726843 - 1. assign V015412 = V462513. assign V462513 = V560253 + 1. assign V083282 = V945367 - 1. assign V687579 = V530557 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV169041 = 4;\n\nFrom these direct assignment(s), we have: \nV644115 = V169041 + 1 = 4 + 1 =5;\nNo other variables can be derived from V644115;\nNo other variables can be derived from V169041;\n\nNow we have done all the calculations. Derived variables are:\nV169041 = 4;\nV644115 = 5;\n\nNow we have finished this problem. ANSWER:\nV169041\n", "role": "assistant" } ]

[ "V173878" ]

[ { "content": "<context>\nassign V510604 = V108718 - 1. assign V374383 = V865303. assign V865303 = V510604. assign V998710 = V952553. assign V034716 = V961446. assign V025748 = V540934. assign V623277 = V540934. assign V046063 = V376351 + 1. assign V986931 = V572577 + 1. assign V011845 = V261456 - 1. assign V568252 = V046063. assign V287002 = V025831 - 1. assign V052397 = V841108 + 1. assign V658245 = V108718. assign V003933 = V062688 - 1. assign V903009 = V847437 - 1. assign V944741 = V046063 - 1. assign V766035 = V411288. assign V290492 = V011845. assign V172964 = V996410 - 1. assign V173878 = 8. assign V841108 = V329591. assign V259541 = V262971. assign V215575 = V671746 - 1. assign V261692 = V259541 + 1. assign V133008 = V259541 + 1. assign V787608 = V287002. assign V007316 = V847437. assign V847437 = V867403 - 1. assign V055099 = V214321 - 1. assign V161665 = V173878 + 1. assign V771065 = V025831 + 1. assign V540934 = V952553. assign V341271 = V775646 + 1. assign V865107 = V127672 - 1. assign V127672 = V510604 - 1. assign V758360 = V623277 + 1. assign V018357 = V951820 - 1. assign V835105 = V859862. assign V997040 = V329591 + 1. assign V792197 = V771065 + 1. assign V570117 = V386707 + 1. assign V951820 = V510604 + 1. assign V951600 = V971912 - 1. assign V200851 = V867403 + 1. assign V758011 = V386707 - 1. assign V961446 = V341271. assign V339462 = V215575 - 1. assign V612256 = V914679 + 1. assign V028175 = V493084 - 1. assign V399964 = V944741 + 1. assign V382141 = V787608 - 1. assign V644341 = V329591. assign V914679 = V484845. assign V609791 = V969946 + 1. assign V996410 = V329591 - 1. assign V079722 = V108718. assign V516701 = V996410 - 1. assign V329591 = V867403. assign V906257 = V025831 + 1. assign V053526 = V108718 + 1. assign V059425 = V865303 + 1. assign V952553 = V262971 + 1. assign V671746 = V062688. assign V459709 = V572577 - 1. assign V572577 = V376351. assign V376351 = V510604 + 1. assign V742547 = V510604. assign V599917 = V758011. assign V493084 = V867403 - 1. assign V971912 = V214321 - 1. assign V261456 = V214321 + 1. assign V235005 = V259541 - 1. assign V484845 = V867403 + 1. assign V969946 = V261456 + 1. assign V276256 = V867403 + 1. assign V859862 = V007316 + 1. assign V867403 = V952553 + 1. assign V108718 = V214321 + 1. assign V062688 = V997040 + 1. assign V386707 = V108718 - 1. assign V214321 = V540934 + 1. assign V411288 = V867403. assign V025831 = V914679 + 1. assign V355090 = V376351. assign V775646 = V914679 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V510604 = V108718 - 1. assign V374383 = V865303. assign V865303 = V510604. assign V998710 = V952553. assign V034716 = V961446. assign V025748 = V540934. assign V623277 = V540934. assign V046063 = V376351 + 1. assign V986931 = V572577 + 1. assign V011845 = V261456 - 1. assign V568252 = V046063. assign V287002 = V025831 - 1. assign V052397 = V841108 + 1. assign V658245 = V108718. assign V003933 = V062688 - 1. assign V903009 = V847437 - 1. assign V944741 = V046063 - 1. assign V766035 = V411288. assign V290492 = V011845. assign V172964 = V996410 - 1. assign V173878 = 8. assign V841108 = V329591. assign V259541 = V262971. assign V215575 = V671746 - 1. assign V261692 = V259541 + 1. assign V133008 = V259541 + 1. assign V787608 = V287002. assign V007316 = V847437. assign V847437 = V867403 - 1. assign V055099 = V214321 - 1. assign V161665 = V173878 + 1. assign V771065 = V025831 + 1. assign V540934 = V952553. assign V341271 = V775646 + 1. assign V865107 = V127672 - 1. assign V127672 = V510604 - 1. assign V758360 = V623277 + 1. assign V018357 = V951820 - 1. assign V835105 = V859862. assign V997040 = V329591 + 1. assign V792197 = V771065 + 1. assign V570117 = V386707 + 1. assign V951820 = V510604 + 1. assign V951600 = V971912 - 1. assign V200851 = V867403 + 1. assign V758011 = V386707 - 1. assign V961446 = V341271. assign V339462 = V215575 - 1. assign V612256 = V914679 + 1. assign V028175 = V493084 - 1. assign V399964 = V944741 + 1. assign V382141 = V787608 - 1. assign V644341 = V329591. assign V914679 = V484845. assign V609791 = V969946 + 1. assign V996410 = V329591 - 1. assign V079722 = V108718. assign V516701 = V996410 - 1. assign V329591 = V867403. assign V906257 = V025831 + 1. assign V053526 = V108718 + 1. assign V059425 = V865303 + 1. assign V952553 = V262971 + 1. assign V671746 = V062688. assign V459709 = V572577 - 1. assign V572577 = V376351. assign V376351 = V510604 + 1. assign V742547 = V510604. assign V599917 = V758011. assign V493084 = V867403 - 1. assign V971912 = V214321 - 1. assign V261456 = V214321 + 1. assign V235005 = V259541 - 1. assign V484845 = V867403 + 1. assign V969946 = V261456 + 1. assign V276256 = V867403 + 1. assign V859862 = V007316 + 1. assign V867403 = V952553 + 1. assign V108718 = V214321 + 1. assign V062688 = V997040 + 1. assign V386707 = V108718 - 1. assign V214321 = V540934 + 1. assign V411288 = V867403. assign V025831 = V914679 + 1. assign V355090 = V376351. assign V775646 = V914679 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV173878 = 8;\n\nFrom these direct assignment(s), we have: \nV161665 = V173878 + 1 = 8 + 1 =9;\nNo other variables can be derived from V161665;\nNo other variables can be derived from V173878;\n\nNow we have done all the calculations. Derived variables are:\nV173878 = 8;\nV161665 = 9;\n\nNow we have finished this problem. ANSWER:\nV173878\n", "role": "assistant" } ]

[ "V546942" ]

[ { "content": "<context>\nassign V250532 = V763803 + 1. assign V636802 = V296806. assign V647372 = V706492 + 1. assign V748041 = V169280 - 1. assign V555799 = V706492 - 1. assign V759018 = V399624 + 1. assign V605580 = V185877 - 1. assign V684848 = V296806 + 1. assign V418277 = V145837 + 1. assign V725833 = V346139 - 1. assign V367231 = V262004 - 1. assign V511267 = V146907 - 1. assign V452785 = V567840. assign V933101 = V893355 + 1. assign V745128 = V567840. assign V435981 = V610915 - 1. assign V428002 = V145837 + 1. assign V103813 = V945189. assign V893355 = V860263 + 1. assign V399624 = V262004. assign V908779 = V745128. assign V262004 = V610915 + 1. assign V145837 = V945189 - 1. assign V332320 = V435981. assign V093259 = V610915. assign V757146 = V821283 + 1. assign V865035 = V824460. assign V778131 = V763803 - 1. assign V067658 = V765039. assign V508370 = V546942 + 1. assign V126922 = V063433. assign V546942 = 6. assign V309765 = V555799 - 1. assign V310885 = V711520 - 1. assign V914320 = V945189. assign V873552 = V893355 + 1. assign V977092 = V346139 + 1. assign V048139 = V115320 + 1. assign V345462 = V469067 - 1. assign V322627 = V399624. assign V951895 = V763803. assign V824460 = V262004 - 1. assign V753009 = V951895. assign V711520 = V763803 - 1. assign V313737 = V594733 + 1. assign V840658 = V185877. assign V926017 = V046164. assign V987993 = V185877. assign V259247 = V046164 - 1. assign V102036 = V403552 + 1. assign V711600 = V046164 + 1. assign V892497 = V951895 + 1. assign V090187 = V711600 - 1. assign V063433 = V262004. assign V839149 = V610915 + 1. assign V821283 = V945189 + 1. assign V476196 = V093259 - 1. assign V296806 = V063433 - 1. assign V403552 = V145837. assign V610915 = V711600. assign V146907 = V951895 + 1. assign V469067 = V361131. assign V346139 = V711600. assign V555222 = V567840 - 1. assign V763803 = V711600. assign V860263 = V346139. assign V697536 = V081748. assign V000623 = V296806 + 1. assign V594733 = V093259 + 1. assign V610170 = V865035. assign V115320 = V745128 + 1. assign V945189 = V296806 + 1. assign V169280 = V063433 + 1. assign V539036 = V934670 + 1. assign V706492 = V145837 - 1. assign V459179 = V185877 - 1. assign V081748 = V610915 - 1. assign V141859 = V865035. assign V005877 = V684848. assign V567840 = V262004 + 1. assign V765039 = V860263. assign V574228 = V753009. assign V185877 = V452785 + 1. assign V361131 = V824460 - 1. assign V061714 = V346139 - 1. assign V934670 = V945189.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V250532 = V763803 + 1. assign V636802 = V296806. assign V647372 = V706492 + 1. assign V748041 = V169280 - 1. assign V555799 = V706492 - 1. assign V759018 = V399624 + 1. assign V605580 = V185877 - 1. assign V684848 = V296806 + 1. assign V418277 = V145837 + 1. assign V725833 = V346139 - 1. assign V367231 = V262004 - 1. assign V511267 = V146907 - 1. assign V452785 = V567840. assign V933101 = V893355 + 1. assign V745128 = V567840. assign V435981 = V610915 - 1. assign V428002 = V145837 + 1. assign V103813 = V945189. assign V893355 = V860263 + 1. assign V399624 = V262004. assign V908779 = V745128. assign V262004 = V610915 + 1. assign V145837 = V945189 - 1. assign V332320 = V435981. assign V093259 = V610915. assign V757146 = V821283 + 1. assign V865035 = V824460. assign V778131 = V763803 - 1. assign V067658 = V765039. assign V508370 = V546942 + 1. assign V126922 = V063433. assign V546942 = 6. assign V309765 = V555799 - 1. assign V310885 = V711520 - 1. assign V914320 = V945189. assign V873552 = V893355 + 1. assign V977092 = V346139 + 1. assign V048139 = V115320 + 1. assign V345462 = V469067 - 1. assign V322627 = V399624. assign V951895 = V763803. assign V824460 = V262004 - 1. assign V753009 = V951895. assign V711520 = V763803 - 1. assign V313737 = V594733 + 1. assign V840658 = V185877. assign V926017 = V046164. assign V987993 = V185877. assign V259247 = V046164 - 1. assign V102036 = V403552 + 1. assign V711600 = V046164 + 1. assign V892497 = V951895 + 1. assign V090187 = V711600 - 1. assign V063433 = V262004. assign V839149 = V610915 + 1. assign V821283 = V945189 + 1. assign V476196 = V093259 - 1. assign V296806 = V063433 - 1. assign V403552 = V145837. assign V610915 = V711600. assign V146907 = V951895 + 1. assign V469067 = V361131. assign V346139 = V711600. assign V555222 = V567840 - 1. assign V763803 = V711600. assign V860263 = V346139. assign V697536 = V081748. assign V000623 = V296806 + 1. assign V594733 = V093259 + 1. assign V610170 = V865035. assign V115320 = V745128 + 1. assign V945189 = V296806 + 1. assign V169280 = V063433 + 1. assign V539036 = V934670 + 1. assign V706492 = V145837 - 1. assign V459179 = V185877 - 1. assign V081748 = V610915 - 1. assign V141859 = V865035. assign V005877 = V684848. assign V567840 = V262004 + 1. assign V765039 = V860263. assign V574228 = V753009. assign V185877 = V452785 + 1. assign V361131 = V824460 - 1. assign V061714 = V346139 - 1. assign V934670 = V945189.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV546942 = 6;\n\nFrom these direct assignment(s), we have: \nV508370 = V546942 + 1 = 6 + 1 =7;\nNo other variables can be derived from V508370;\nNo other variables can be derived from V546942;\n\nNow we have done all the calculations. Derived variables are:\nV546942 = 6;\nV508370 = 7;\n\nNow we have finished this problem. ANSWER:\nV546942\n", "role": "assistant" } ]

[ "V307840" ]

[ { "content": "<context>\nassign V455599 = V875194. assign V660009 = V831204 + 1. assign V979760 = V709510. assign V672626 = V818126 + 1. assign V243586 = V455599. assign V831204 = V071767 + 1. assign V999500 = V295402 + 1. assign V990589 = V071767 - 1. assign V308511 = V373629 - 1. assign V385680 = V774828. assign V456760 = V142539 - 1. assign V421987 = V088964. assign V780251 = V456760. assign V706408 = V478076 - 1. assign V945424 = V385680. assign V701294 = V008055 - 1. assign V971705 = V883994 + 1. assign V131371 = V373629. assign V629685 = V878442. assign V878442 = V774828 + 1. assign V367995 = V478076 + 1. assign V106833 = V385680 - 1. assign V781177 = V882906 + 1. assign V661156 = V759666 + 1. assign V357414 = V629685 + 1. assign V630240 = V455599. assign V934584 = V882906 - 1. assign V611685 = V525018. assign V301226 = V611685 - 1. assign V985677 = V774828. assign V634178 = V535231 + 1. assign V478076 = V818126. assign V392150 = V759666 - 1. assign V260062 = V071767 + 1. assign V062215 = V629685 - 1. assign V535231 = V774828 + 1. assign V725027 = V831204 - 1. assign V225493 = V652203. assign V142539 = V525018 + 1. assign V494896 = V878442 + 1. assign V253783 = V131371. assign V434227 = V525018 - 1. assign V008055 = V882906 - 1. assign V646371 = V818126. assign V871819 = 10. assign V784057 = V525018 - 1. assign V071767 = V525018 - 1. assign V738489 = V570811 + 1. assign V295402 = V759666 - 1. assign V491126 = V456760 + 1. assign V198669 = V334264. assign V585559 = V382340 - 1. assign V883994 = V611685 - 1. assign V967292 = V478076. assign V759666 = V525018 - 1. assign V815556 = V008055 + 1. assign V818126 = V392150 - 1. assign V774828 = V142539 - 1. assign V049142 = V660009. assign V054255 = V661156 + 1. assign V373629 = V392150 - 1. assign V012780 = V646371 + 1. assign V491111 = V603553. assign V746534 = V373629. assign V880670 = V945424 + 1. assign V570811 = V225493 + 1. assign V627504 = V382340 + 1. assign V335701 = V759666. assign V652203 = V382340. assign V939910 = V382340. assign V334264 = V818126 - 1. assign V591698 = V585559 - 1. assign V307840 = V871819 + 1. assign V382340 = V392150. assign V273913 = V385680 - 1. assign V625257 = V611685 - 1. assign V603553 = V253783 + 1. assign V944367 = V012780. assign V875194 = V774828. assign V031639 = V661156. assign V088964 = V646371 - 1. assign V808318 = V746534 + 1. assign V882906 = V818126 - 1. assign V709510 = V054255. assign V850783 = V295402 + 1. assign V864574 = V784057 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V455599 = V875194. assign V660009 = V831204 + 1. assign V979760 = V709510. assign V672626 = V818126 + 1. assign V243586 = V455599. assign V831204 = V071767 + 1. assign V999500 = V295402 + 1. assign V990589 = V071767 - 1. assign V308511 = V373629 - 1. assign V385680 = V774828. assign V456760 = V142539 - 1. assign V421987 = V088964. assign V780251 = V456760. assign V706408 = V478076 - 1. assign V945424 = V385680. assign V701294 = V008055 - 1. assign V971705 = V883994 + 1. assign V131371 = V373629. assign V629685 = V878442. assign V878442 = V774828 + 1. assign V367995 = V478076 + 1. assign V106833 = V385680 - 1. assign V781177 = V882906 + 1. assign V661156 = V759666 + 1. assign V357414 = V629685 + 1. assign V630240 = V455599. assign V934584 = V882906 - 1. assign V611685 = V525018. assign V301226 = V611685 - 1. assign V985677 = V774828. assign V634178 = V535231 + 1. assign V478076 = V818126. assign V392150 = V759666 - 1. assign V260062 = V071767 + 1. assign V062215 = V629685 - 1. assign V535231 = V774828 + 1. assign V725027 = V831204 - 1. assign V225493 = V652203. assign V142539 = V525018 + 1. assign V494896 = V878442 + 1. assign V253783 = V131371. assign V434227 = V525018 - 1. assign V008055 = V882906 - 1. assign V646371 = V818126. assign V871819 = 10. assign V784057 = V525018 - 1. assign V071767 = V525018 - 1. assign V738489 = V570811 + 1. assign V295402 = V759666 - 1. assign V491126 = V456760 + 1. assign V198669 = V334264. assign V585559 = V382340 - 1. assign V883994 = V611685 - 1. assign V967292 = V478076. assign V759666 = V525018 - 1. assign V815556 = V008055 + 1. assign V818126 = V392150 - 1. assign V774828 = V142539 - 1. assign V049142 = V660009. assign V054255 = V661156 + 1. assign V373629 = V392150 - 1. assign V012780 = V646371 + 1. assign V491111 = V603553. assign V746534 = V373629. assign V880670 = V945424 + 1. assign V570811 = V225493 + 1. assign V627504 = V382340 + 1. assign V335701 = V759666. assign V652203 = V382340. assign V939910 = V382340. assign V334264 = V818126 - 1. assign V591698 = V585559 - 1. assign V307840 = V871819 + 1. assign V382340 = V392150. assign V273913 = V385680 - 1. assign V625257 = V611685 - 1. assign V603553 = V253783 + 1. assign V944367 = V012780. assign V875194 = V774828. assign V031639 = V661156. assign V088964 = V646371 - 1. assign V808318 = V746534 + 1. assign V882906 = V818126 - 1. assign V709510 = V054255. assign V850783 = V295402 + 1. assign V864574 = V784057 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV871819 = 10;\n\nFrom these direct assignment(s), we have: \nV307840 = V871819 + 1 = 10 + 1 =11;\nNo other variables can be derived from V307840;\nNo other variables can be derived from V871819;\n\nNow we have done all the calculations. Derived variables are:\nV871819 = 10;\nV307840 = 11;\n\nNow we have finished this problem. ANSWER:\nV307840\n", "role": "assistant" } ]

[ "V647066", "V448916" ]

[ { "content": "<context>\nassign V375294 = V963938 - 1. assign V100956 = V436157. assign V730966 = V467942. assign V750375 = V467942. assign V663813 = V554747 - 1. assign V178634 = V342872 + 1. assign V195603 = V532161 + 1. assign V391110 = V042542. assign V023023 = V343165 - 1. assign V368749 = V532161 + 1. assign V822934 = V917705. assign V269173 = V496055 - 1. assign V894276 = V743015. assign V365128 = V718216. assign V640028 = V368749 - 1. assign V467942 = V133978 - 1. assign V541876 = V436157 + 1. assign V860127 = V825399 - 1. assign V232369 = V959801 + 1. assign V994441 = V374460 + 1. assign V235283 = V269173. assign V651273 = V255226 - 1. assign V850246 = V213350 - 1. assign V255226 = V004189 + 1. assign V252247 = V172034. assign V254034 = V982500 + 1. assign V570653 = V349168. assign V350795 = V255226. assign V059591 = V850246 - 1. assign V349507 = V860127. assign V462980 = V436157. assign V403201 = V133978 - 1. assign V754920 = V075856 + 1. assign V378336 = V236675 + 1. assign V718216 = V342872 + 1. assign V959801 = V467942 + 1. assign V696744 = V350795. assign V697838 = V374460 + 1. assign V374460 = V172034 - 1. assign V826535 = V004189. assign V416873 = V403201 + 1. assign V172034 = V822934 + 1. assign V552460 = V375294. assign V088752 = V133608. assign V070945 = V133978 - 1. assign V503940 = V255226 + 1. assign V757811 = V195603. assign V152114 = V153393 + 1. assign V743015 = V503940. assign V349168 = V172034 + 1. assign V982500 = V112552. assign V400772 = V963938. assign V513730 = V467942. assign V647066 = 9. assign V042542 = V130538 + 1. assign V827743 = V232369. assign V554747 = V403201 + 1. assign V902182 = V696744 + 1. assign V444518 = V059591. assign V766898 = V462980. assign V674380 = V255226 + 1. assign V496055 = V959801 + 1. assign V343165 = V147414 - 1. assign V505990 = V172034. assign V075856 = V349168. assign V133608 = V070945. assign V130538 = V532161 + 1. assign V762263 = V850246. assign V750394 = V850246 + 1. assign V153393 = V696744 - 1. assign V532161 = V255226 - 1. assign V917705 = V100956 + 1. assign V608793 = V750375 - 1. assign V236675 = V070945 - 1. assign V825399 = V541876 + 1. assign V771883 = V467942 - 1. assign V089591 = V730966. assign V963938 = V004189 + 1. assign V147414 = V133978 - 1. assign V112552 = V133978. assign V133978 = V004189 + 1. assign V213350 = V462980 + 1. assign V476439 = V254034 - 1. assign V436157 = V255226. assign V342872 = V467942 + 1. assign V448916 = V647066.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V375294 = V963938 - 1. assign V100956 = V436157. assign V730966 = V467942. assign V750375 = V467942. assign V663813 = V554747 - 1. assign V178634 = V342872 + 1. assign V195603 = V532161 + 1. assign V391110 = V042542. assign V023023 = V343165 - 1. assign V368749 = V532161 + 1. assign V822934 = V917705. assign V269173 = V496055 - 1. assign V894276 = V743015. assign V365128 = V718216. assign V640028 = V368749 - 1. assign V467942 = V133978 - 1. assign V541876 = V436157 + 1. assign V860127 = V825399 - 1. assign V232369 = V959801 + 1. assign V994441 = V374460 + 1. assign V235283 = V269173. assign V651273 = V255226 - 1. assign V850246 = V213350 - 1. assign V255226 = V004189 + 1. assign V252247 = V172034. assign V254034 = V982500 + 1. assign V570653 = V349168. assign V350795 = V255226. assign V059591 = V850246 - 1. assign V349507 = V860127. assign V462980 = V436157. assign V403201 = V133978 - 1. assign V754920 = V075856 + 1. assign V378336 = V236675 + 1. assign V718216 = V342872 + 1. assign V959801 = V467942 + 1. assign V696744 = V350795. assign V697838 = V374460 + 1. assign V374460 = V172034 - 1. assign V826535 = V004189. assign V416873 = V403201 + 1. assign V172034 = V822934 + 1. assign V552460 = V375294. assign V088752 = V133608. assign V070945 = V133978 - 1. assign V503940 = V255226 + 1. assign V757811 = V195603. assign V152114 = V153393 + 1. assign V743015 = V503940. assign V349168 = V172034 + 1. assign V982500 = V112552. assign V400772 = V963938. assign V513730 = V467942. assign V647066 = 9. assign V042542 = V130538 + 1. assign V827743 = V232369. assign V554747 = V403201 + 1. assign V902182 = V696744 + 1. assign V444518 = V059591. assign V766898 = V462980. assign V674380 = V255226 + 1. assign V496055 = V959801 + 1. assign V343165 = V147414 - 1. assign V505990 = V172034. assign V075856 = V349168. assign V133608 = V070945. assign V130538 = V532161 + 1. assign V762263 = V850246. assign V750394 = V850246 + 1. assign V153393 = V696744 - 1. assign V532161 = V255226 - 1. assign V917705 = V100956 + 1. assign V608793 = V750375 - 1. assign V236675 = V070945 - 1. assign V825399 = V541876 + 1. assign V771883 = V467942 - 1. assign V089591 = V730966. assign V963938 = V004189 + 1. assign V147414 = V133978 - 1. assign V112552 = V133978. assign V133978 = V004189 + 1. assign V213350 = V462980 + 1. assign V476439 = V254034 - 1. assign V436157 = V255226. assign V342872 = V467942 + 1. assign V448916 = V647066.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV647066 = 9;\n\nFrom these direct assignment(s), we have: \nV448916 = V647066 = 9;\nNo other variables can be derived from V448916;\nNo other variables can be derived from V647066;\n\nNow we have done all the calculations. Derived variables are:\nV647066 = 9;\nV448916 = 9;\n\nNow we have finished this problem. ANSWER:\nV647066, V448916\n", "role": "assistant" } ]

[ "V542924" ]

[ { "content": "<context>\nassign V748288 = V997633 - 1. assign V363496 = V382849 + 1. assign V938836 = V107932 - 1. assign V976503 = V797794 + 1. assign V101625 = V779513 - 1. assign V927078 = V882398. assign V459937 = V316002 - 1. assign V989435 = V668519 + 1. assign V882398 = V477643 + 1. assign V129822 = V701585. assign V048098 = V804319 + 1. assign V308437 = V804319. assign V578937 = V251619 - 1. assign V477643 = V049053 + 1. assign V813853 = V692082 - 1. assign V864184 = V076263 + 1. assign V165167 = 5. assign V130345 = V212176. assign V583992 = V363496. assign V999548 = V642006 + 1. assign V797794 = V321091. assign V100922 = V864184. assign V793123 = V049053. assign V887230 = V236434 + 1. assign V829562 = V692082 + 1. assign V353758 = V081326 + 1. assign V915618 = V939009. assign V761756 = V938836 + 1. assign V306650 = V382849 + 1. assign V578582 = V976503 + 1. assign V834083 = V076263 + 1. assign V406108 = V834083 - 1. assign V392149 = V692082 - 1. assign V998877 = V976503 + 1. assign V491612 = V761756 + 1. assign V316002 = V793123 + 1. assign V236434 = V578937 - 1. assign V159984 = V363496 + 1. assign V439484 = V139248 + 1. assign V779513 = V049053 - 1. assign V107932 = V049053 + 1. assign V713633 = V668519 + 1. assign V139248 = V709934 - 1. assign V493952 = V642006 + 1. assign V382849 = V938836 + 1. assign V081326 = V813853. assign V668519 = V439484. assign V997633 = V813853 - 1. assign V093848 = V701585. assign V212176 = V809006. assign V986900 = V713633 + 1. assign V293217 = V939009 - 1. assign V642006 = V049053. assign V692082 = V779513 + 1. assign V188043 = V927078 - 1. assign V421330 = V475573 - 1. assign V475573 = V129822 - 1. assign V606310 = V159984. assign V873450 = V606310 + 1. assign V930395 = V251619. assign V731434 = V076263 - 1. assign V127950 = V797794 - 1. assign V514638 = V048098 + 1. assign V701585 = V477643 + 1. assign V697089 = V477643 - 1. assign V780572 = V129822. assign V938821 = V692082. assign V506347 = V477643 - 1. assign V964046 = V439484 - 1. assign V691336 = V339929 - 1. assign V076263 = V701585. assign V939009 = V938836 - 1. assign V112811 = V506347 - 1. assign V804319 = V316002 - 1. assign V679808 = V939009 + 1. assign V709934 = V779513 + 1. assign V802641 = V212176 - 1. assign V542924 = V165167 + 1. assign V339929 = V506347. assign V049053 = V321091 + 1. assign V809006 = V999548 - 1. assign V559665 = V779513 + 1. assign V379235 = V101625 + 1. assign V651838 = V997633. assign V370937 = V093848. assign V251619 = V477643 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V748288 = V997633 - 1. assign V363496 = V382849 + 1. assign V938836 = V107932 - 1. assign V976503 = V797794 + 1. assign V101625 = V779513 - 1. assign V927078 = V882398. assign V459937 = V316002 - 1. assign V989435 = V668519 + 1. assign V882398 = V477643 + 1. assign V129822 = V701585. assign V048098 = V804319 + 1. assign V308437 = V804319. assign V578937 = V251619 - 1. assign V477643 = V049053 + 1. assign V813853 = V692082 - 1. assign V864184 = V076263 + 1. assign V165167 = 5. assign V130345 = V212176. assign V583992 = V363496. assign V999548 = V642006 + 1. assign V797794 = V321091. assign V100922 = V864184. assign V793123 = V049053. assign V887230 = V236434 + 1. assign V829562 = V692082 + 1. assign V353758 = V081326 + 1. assign V915618 = V939009. assign V761756 = V938836 + 1. assign V306650 = V382849 + 1. assign V578582 = V976503 + 1. assign V834083 = V076263 + 1. assign V406108 = V834083 - 1. assign V392149 = V692082 - 1. assign V998877 = V976503 + 1. assign V491612 = V761756 + 1. assign V316002 = V793123 + 1. assign V236434 = V578937 - 1. assign V159984 = V363496 + 1. assign V439484 = V139248 + 1. assign V779513 = V049053 - 1. assign V107932 = V049053 + 1. assign V713633 = V668519 + 1. assign V139248 = V709934 - 1. assign V493952 = V642006 + 1. assign V382849 = V938836 + 1. assign V081326 = V813853. assign V668519 = V439484. assign V997633 = V813853 - 1. assign V093848 = V701585. assign V212176 = V809006. assign V986900 = V713633 + 1. assign V293217 = V939009 - 1. assign V642006 = V049053. assign V692082 = V779513 + 1. assign V188043 = V927078 - 1. assign V421330 = V475573 - 1. assign V475573 = V129822 - 1. assign V606310 = V159984. assign V873450 = V606310 + 1. assign V930395 = V251619. assign V731434 = V076263 - 1. assign V127950 = V797794 - 1. assign V514638 = V048098 + 1. assign V701585 = V477643 + 1. assign V697089 = V477643 - 1. assign V780572 = V129822. assign V938821 = V692082. assign V506347 = V477643 - 1. assign V964046 = V439484 - 1. assign V691336 = V339929 - 1. assign V076263 = V701585. assign V939009 = V938836 - 1. assign V112811 = V506347 - 1. assign V804319 = V316002 - 1. assign V679808 = V939009 + 1. assign V709934 = V779513 + 1. assign V802641 = V212176 - 1. assign V542924 = V165167 + 1. assign V339929 = V506347. assign V049053 = V321091 + 1. assign V809006 = V999548 - 1. assign V559665 = V779513 + 1. assign V379235 = V101625 + 1. assign V651838 = V997633. assign V370937 = V093848. assign V251619 = V477643 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV165167 = 5;\n\nFrom these direct assignment(s), we have: \nV542924 = V165167 + 1 = 5 + 1 =6;\nNo other variables can be derived from V542924;\nNo other variables can be derived from V165167;\n\nNow we have done all the calculations. Derived variables are:\nV165167 = 5;\nV542924 = 6;\n\nNow we have finished this problem. ANSWER:\nV542924\n", "role": "assistant" } ]

[ "V132206" ]

[ { "content": "<context>\nassign V345811 = V673728 + 1. assign V345472 = V988098. assign V081598 = V066830 - 1. assign V648766 = V354678 - 1. assign V188341 = V032629. assign V784525 = V589443 - 1. assign V744276 = V648766. assign V570425 = V499600 - 1. assign V880024 = V919779 - 1. assign V564887 = V791762. assign V274949 = V878218 + 1. assign V542333 = V194521 + 1. assign V504507 = V919779 - 1. assign V355126 = V462757. assign V791762 = V673728 - 1. assign V841650 = V951980 - 1. assign V192994 = V464562 - 1. assign V862850 = V462757 + 1. assign V309647 = V032820. assign V951980 = V194521 + 1. assign V988098 = V194521. assign V464562 = V066830 - 1. assign V032629 = V201194 - 1. assign V490677 = V841650 + 1. assign V499600 = V784525 + 1. assign V713666 = V727083 + 1. assign V589443 = V727083 - 1. assign V562068 = V634742 - 1. assign V581007 = V421096 - 1. assign V194887 = V354678. assign V781415 = V542333. assign V334772 = V673728 + 1. assign V755258 = V784525. assign V045091 = V322620 - 1. assign V700861 = V861605 + 1. assign V473226 = V251048 - 1. assign V066830 = V919779 + 1. assign V222981 = V128561 - 1. assign V356293 = V791762 - 1. assign V563397 = V532000 + 1. assign V194521 = V727083. assign V298581 = V066830 - 1. assign V003910 = V247659 + 1. assign V247659 = V791762 + 1. assign V097119 = V727083 + 1. assign V656821 = V462757 - 1. assign V634742 = V188341 + 1. assign V133111 = V045091. assign V710962 = V744276 - 1. assign V874384 = V791762 - 1. assign V138756 = V919779 - 1. assign V727083 = V673728 + 1. assign V132206 = V821398 - 1. assign V436789 = V878218 + 1. assign V251048 = V965604 - 1. assign V532000 = V455946 - 1. assign V878218 = V589443 + 1. assign V384862 = V066830 - 1. assign V309827 = V473226 - 1. assign V322620 = V455946 + 1. assign V821398 = 4. assign V711266 = V951980. assign V667682 = V274949. assign V523908 = V372379 + 1. assign V477715 = V511425 - 1. assign V576016 = V657331. assign V354678 = V951980 - 1. assign V919779 = V421096 + 1. assign V673728 = V421096. assign V032820 = V589443. assign V201194 = V841650. assign V128561 = V673728. assign V649690 = V727083 - 1. assign V628297 = V727083 - 1. assign V462757 = V589443 - 1. assign V127927 = V700861 + 1. assign V965604 = V919779. assign V455946 = V878218 - 1. assign V372379 = V880024 + 1. assign V511425 = V634742 - 1. assign V453782 = V384862. assign V898518 = V727083 + 1. assign V657331 = V673728 - 1. assign V040907 = V504507 - 1. assign V861605 = V066830. assign V145352 = V532000 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V345811 = V673728 + 1. assign V345472 = V988098. assign V081598 = V066830 - 1. assign V648766 = V354678 - 1. assign V188341 = V032629. assign V784525 = V589443 - 1. assign V744276 = V648766. assign V570425 = V499600 - 1. assign V880024 = V919779 - 1. assign V564887 = V791762. assign V274949 = V878218 + 1. assign V542333 = V194521 + 1. assign V504507 = V919779 - 1. assign V355126 = V462757. assign V791762 = V673728 - 1. assign V841650 = V951980 - 1. assign V192994 = V464562 - 1. assign V862850 = V462757 + 1. assign V309647 = V032820. assign V951980 = V194521 + 1. assign V988098 = V194521. assign V464562 = V066830 - 1. assign V032629 = V201194 - 1. assign V490677 = V841650 + 1. assign V499600 = V784525 + 1. assign V713666 = V727083 + 1. assign V589443 = V727083 - 1. assign V562068 = V634742 - 1. assign V581007 = V421096 - 1. assign V194887 = V354678. assign V781415 = V542333. assign V334772 = V673728 + 1. assign V755258 = V784525. assign V045091 = V322620 - 1. assign V700861 = V861605 + 1. assign V473226 = V251048 - 1. assign V066830 = V919779 + 1. assign V222981 = V128561 - 1. assign V356293 = V791762 - 1. assign V563397 = V532000 + 1. assign V194521 = V727083. assign V298581 = V066830 - 1. assign V003910 = V247659 + 1. assign V247659 = V791762 + 1. assign V097119 = V727083 + 1. assign V656821 = V462757 - 1. assign V634742 = V188341 + 1. assign V133111 = V045091. assign V710962 = V744276 - 1. assign V874384 = V791762 - 1. assign V138756 = V919779 - 1. assign V727083 = V673728 + 1. assign V132206 = V821398 - 1. assign V436789 = V878218 + 1. assign V251048 = V965604 - 1. assign V532000 = V455946 - 1. assign V878218 = V589443 + 1. assign V384862 = V066830 - 1. assign V309827 = V473226 - 1. assign V322620 = V455946 + 1. assign V821398 = 4. assign V711266 = V951980. assign V667682 = V274949. assign V523908 = V372379 + 1. assign V477715 = V511425 - 1. assign V576016 = V657331. assign V354678 = V951980 - 1. assign V919779 = V421096 + 1. assign V673728 = V421096. assign V032820 = V589443. assign V201194 = V841650. assign V128561 = V673728. assign V649690 = V727083 - 1. assign V628297 = V727083 - 1. assign V462757 = V589443 - 1. assign V127927 = V700861 + 1. assign V965604 = V919779. assign V455946 = V878218 - 1. assign V372379 = V880024 + 1. assign V511425 = V634742 - 1. assign V453782 = V384862. assign V898518 = V727083 + 1. assign V657331 = V673728 - 1. assign V040907 = V504507 - 1. assign V861605 = V066830. assign V145352 = V532000 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV821398 = 4;\n\nFrom these direct assignment(s), we have: \nV132206 = V821398 - 1 = 4 - 1 =3;\nNo other variables can be derived from V132206;\nNo other variables can be derived from V821398;\n\nNow we have done all the calculations. Derived variables are:\nV821398 = 4;\nV132206 = 3;\n\nNow we have finished this problem. ANSWER:\nV132206\n", "role": "assistant" } ]

[ "V052053" ]

[ { "content": "<context>\nassign V845687 = V840666. assign V526088 = V033207. assign V307145 = V260881. assign V528655 = V703368 - 1. assign V027187 = V414373 + 1. assign V752083 = V260881. assign V789000 = V499156 + 1. assign V100611 = V242106 + 1. assign V876348 = V837347 + 1. assign V017293 = V260881 + 1. assign V260740 = V033207 - 1. assign V238826 = V253013 - 1. assign V420474 = V789000. assign V909408 = V528560 + 1. assign V562698 = 0. assign V381318 = V703368 + 1. assign V065060 = V017293 + 1. assign V802711 = V499156 - 1. assign V397207 = V017293 - 1. assign V225504 = V837347 + 1. assign V984463 = V027187. assign V484434 = V876348 - 1. assign V176565 = V752083 - 1. assign V603822 = V004127 + 1. assign V627913 = V606162 + 1. assign V840666 = V629852 + 1. assign V837347 = V307145 - 1. assign V609305 = V752083 - 1. assign V025200 = V260881. assign V086064 = V004127. assign V305611 = V499156 + 1. assign V867045 = V466985 + 1. assign V284606 = V629852. assign V414373 = V606162. assign V528560 = V752083 - 1. assign V703368 = V443399 - 1. assign V356029 = V707480 + 1. assign V270775 = V004127 + 1. assign V667986 = V219558. assign V499156 = V025200. assign V212335 = V499156. assign V443399 = V253013 + 1. assign V004127 = V176565 - 1. assign V629852 = V260740 - 1. assign V466985 = V670187. assign V559238 = V176565 - 1. assign V242106 = V260881 - 1. assign V112199 = V864062 - 1. assign V535941 = V305611 + 1. assign V670187 = V017293 + 1. assign V033207 = V499156 - 1. assign V267398 = V526088 - 1. assign V755218 = V627913. assign V567913 = V033207 + 1. assign V219558 = V609305. assign V606162 = V141067 - 1. assign V508681 = V670187 - 1. assign V053082 = V604696 + 1. assign V977892 = V092098. assign V225254 = V155918. assign V141067 = V260881 + 1. assign V092098 = V176565 - 1. assign V253013 = V620960 + 1. assign V177562 = V260740 - 1. assign V864062 = V977892. assign V707480 = V307145 - 1. assign V789849 = V267398 - 1. assign V009566 = V219558 - 1. assign V338711 = V260740. assign V075580 = V840666 + 1. assign V728479 = V567913 + 1. assign V355888 = V508681 - 1. assign V604696 = V017293. assign V906936 = V176565 - 1. assign V511370 = V864062 - 1. assign V431470 = V845687. assign V487049 = V526088. assign V052053 = V562698 + 1. assign V620960 = V606162 + 1. assign V254154 = V609305 + 1. assign V783918 = V752083 - 1. assign V753897 = V307145. assign V115766 = V753897 + 1. assign V222668 = V783918 + 1. assign V758687 = V254154 + 1. assign V155918 = V629852 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V845687 = V840666. assign V526088 = V033207. assign V307145 = V260881. assign V528655 = V703368 - 1. assign V027187 = V414373 + 1. assign V752083 = V260881. assign V789000 = V499156 + 1. assign V100611 = V242106 + 1. assign V876348 = V837347 + 1. assign V017293 = V260881 + 1. assign V260740 = V033207 - 1. assign V238826 = V253013 - 1. assign V420474 = V789000. assign V909408 = V528560 + 1. assign V562698 = 0. assign V381318 = V703368 + 1. assign V065060 = V017293 + 1. assign V802711 = V499156 - 1. assign V397207 = V017293 - 1. assign V225504 = V837347 + 1. assign V984463 = V027187. assign V484434 = V876348 - 1. assign V176565 = V752083 - 1. assign V603822 = V004127 + 1. assign V627913 = V606162 + 1. assign V840666 = V629852 + 1. assign V837347 = V307145 - 1. assign V609305 = V752083 - 1. assign V025200 = V260881. assign V086064 = V004127. assign V305611 = V499156 + 1. assign V867045 = V466985 + 1. assign V284606 = V629852. assign V414373 = V606162. assign V528560 = V752083 - 1. assign V703368 = V443399 - 1. assign V356029 = V707480 + 1. assign V270775 = V004127 + 1. assign V667986 = V219558. assign V499156 = V025200. assign V212335 = V499156. assign V443399 = V253013 + 1. assign V004127 = V176565 - 1. assign V629852 = V260740 - 1. assign V466985 = V670187. assign V559238 = V176565 - 1. assign V242106 = V260881 - 1. assign V112199 = V864062 - 1. assign V535941 = V305611 + 1. assign V670187 = V017293 + 1. assign V033207 = V499156 - 1. assign V267398 = V526088 - 1. assign V755218 = V627913. assign V567913 = V033207 + 1. assign V219558 = V609305. assign V606162 = V141067 - 1. assign V508681 = V670187 - 1. assign V053082 = V604696 + 1. assign V977892 = V092098. assign V225254 = V155918. assign V141067 = V260881 + 1. assign V092098 = V176565 - 1. assign V253013 = V620960 + 1. assign V177562 = V260740 - 1. assign V864062 = V977892. assign V707480 = V307145 - 1. assign V789849 = V267398 - 1. assign V009566 = V219558 - 1. assign V338711 = V260740. assign V075580 = V840666 + 1. assign V728479 = V567913 + 1. assign V355888 = V508681 - 1. assign V604696 = V017293. assign V906936 = V176565 - 1. assign V511370 = V864062 - 1. assign V431470 = V845687. assign V487049 = V526088. assign V052053 = V562698 + 1. assign V620960 = V606162 + 1. assign V254154 = V609305 + 1. assign V783918 = V752083 - 1. assign V753897 = V307145. assign V115766 = V753897 + 1. assign V222668 = V783918 + 1. assign V758687 = V254154 + 1. assign V155918 = V629852 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV562698 = 0;\n\nFrom these direct assignment(s), we have: \nV052053 = V562698 + 1 = 0 + 1 =1;\nNo other variables can be derived from V052053;\nNo other variables can be derived from V562698;\n\nNow we have done all the calculations. Derived variables are:\nV562698 = 0;\nV052053 = 1;\n\nNow we have finished this problem. ANSWER:\nV052053\n", "role": "assistant" } ]

[ "V604741" ]

[ { "content": "<context>\nassign V223125 = V683904. assign V422427 = V744918. assign V744918 = V772610 - 1. assign V613278 = V250348 + 1. assign V756370 = V182464 + 1. assign V001466 = V619023. assign V606313 = V597998 + 1. assign V451171 = V637256 + 1. assign V772610 = V518441. assign V967422 = V736473. assign V956371 = V957082 + 1. assign V299427 = V619023 + 1. assign V683836 = V762939 - 1. assign V182413 = V289569. assign V955216 = V722267. assign V289569 = V411602 - 1. assign V144748 = V182464 + 1. assign V988382 = V763995 - 1. assign V855876 = V683904. assign V787022 = V556501. assign V556501 = V134509 - 1. assign V411602 = V931991. assign V761027 = V134509. assign V250348 = V446471 + 1. assign V290893 = V970047 + 1. assign V284026 = V518441 - 1. assign V683904 = V250348 + 1. assign V376051 = V756370 - 1. assign V957082 = V942803. assign V867142 = V518441 - 1. assign V554541 = V331643 + 1. assign V762939 = V772610. assign V905524 = V681614. assign V881581 = V681614 - 1. assign V759221 = V683904 + 1. assign V446471 = V518441 - 1. assign V621866 = V681614 - 1. assign V935494 = V683904. assign V477717 = V273779. assign V621790 = V255833 + 1. assign V597998 = V931991 + 1. assign V732034 = V942803. assign V763995 = V411602 - 1. assign V639761 = V518441 - 1. assign V507133 = V756370 + 1. assign V273779 = V497983 + 1. assign V134509 = V597998 + 1. assign V942803 = V182464 + 1. assign V179046 = V732034 + 1. assign V255833 = V507133 + 1. assign V632628 = V683904 - 1. assign V518441 = V182464. assign V577908 = V376051 + 1. assign V931991 = V250348. assign V020359 = V619023. assign V419512 = V722267. assign V511826 = V619023 - 1. assign V850564 = V518441. assign V416294 = V001466 - 1. assign V497983 = V446471 + 1. assign V995184 = V855876 - 1. assign V722267 = V182464 - 1. assign V795655 = V744918. assign V693447 = V942803 + 1. assign V604741 = V329761 + 1. assign V823187 = V419512 - 1. assign V367836 = V942803. assign V637256 = V722267 + 1. assign V619023 = V507133 + 1. assign V828412 = V613278 - 1. assign V221700 = V955216 + 1. assign V635646 = V284026 - 1. assign V010308 = V182464. assign V736473 = V182464. assign V970047 = V967422 + 1. assign V411572 = V681614 - 1. assign V228780 = V284026. assign V996005 = V411602 + 1. assign V611824 = V956371 - 1. assign V940309 = V850564 + 1. assign V775309 = V477717 - 1. assign V471450 = V020359 - 1. assign V331643 = V942803. assign V681614 = V756370. assign V329761 = 1. assign V127973 = V722267.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V223125 = V683904. assign V422427 = V744918. assign V744918 = V772610 - 1. assign V613278 = V250348 + 1. assign V756370 = V182464 + 1. assign V001466 = V619023. assign V606313 = V597998 + 1. assign V451171 = V637256 + 1. assign V772610 = V518441. assign V967422 = V736473. assign V956371 = V957082 + 1. assign V299427 = V619023 + 1. assign V683836 = V762939 - 1. assign V182413 = V289569. assign V955216 = V722267. assign V289569 = V411602 - 1. assign V144748 = V182464 + 1. assign V988382 = V763995 - 1. assign V855876 = V683904. assign V787022 = V556501. assign V556501 = V134509 - 1. assign V411602 = V931991. assign V761027 = V134509. assign V250348 = V446471 + 1. assign V290893 = V970047 + 1. assign V284026 = V518441 - 1. assign V683904 = V250348 + 1. assign V376051 = V756370 - 1. assign V957082 = V942803. assign V867142 = V518441 - 1. assign V554541 = V331643 + 1. assign V762939 = V772610. assign V905524 = V681614. assign V881581 = V681614 - 1. assign V759221 = V683904 + 1. assign V446471 = V518441 - 1. assign V621866 = V681614 - 1. assign V935494 = V683904. assign V477717 = V273779. assign V621790 = V255833 + 1. assign V597998 = V931991 + 1. assign V732034 = V942803. assign V763995 = V411602 - 1. assign V639761 = V518441 - 1. assign V507133 = V756370 + 1. assign V273779 = V497983 + 1. assign V134509 = V597998 + 1. assign V942803 = V182464 + 1. assign V179046 = V732034 + 1. assign V255833 = V507133 + 1. assign V632628 = V683904 - 1. assign V518441 = V182464. assign V577908 = V376051 + 1. assign V931991 = V250348. assign V020359 = V619023. assign V419512 = V722267. assign V511826 = V619023 - 1. assign V850564 = V518441. assign V416294 = V001466 - 1. assign V497983 = V446471 + 1. assign V995184 = V855876 - 1. assign V722267 = V182464 - 1. assign V795655 = V744918. assign V693447 = V942803 + 1. assign V604741 = V329761 + 1. assign V823187 = V419512 - 1. assign V367836 = V942803. assign V637256 = V722267 + 1. assign V619023 = V507133 + 1. assign V828412 = V613278 - 1. assign V221700 = V955216 + 1. assign V635646 = V284026 - 1. assign V010308 = V182464. assign V736473 = V182464. assign V970047 = V967422 + 1. assign V411572 = V681614 - 1. assign V228780 = V284026. assign V996005 = V411602 + 1. assign V611824 = V956371 - 1. assign V940309 = V850564 + 1. assign V775309 = V477717 - 1. assign V471450 = V020359 - 1. assign V331643 = V942803. assign V681614 = V756370. assign V329761 = 1. assign V127973 = V722267.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV329761 = 1;\n\nFrom these direct assignment(s), we have: \nV604741 = V329761 + 1 = 1 + 1 =2;\nNo other variables can be derived from V604741;\nNo other variables can be derived from V329761;\n\nNow we have done all the calculations. Derived variables are:\nV329761 = 1;\nV604741 = 2;\n\nNow we have finished this problem. ANSWER:\nV604741\n", "role": "assistant" } ]

[ "V885643" ]

[ { "content": "<context>\nassign V552286 = V189803 + 1. assign V179219 = V473162 + 1. assign V511230 = V556023 - 1. assign V560906 = V645071 - 1. assign V028407 = V666604. assign V473162 = V956514. assign V744442 = V645071 + 1. assign V989891 = V014558 + 1. assign V161128 = V218510. assign V990774 = V560906 - 1. assign V306183 = V354494 - 1. assign V812493 = V511230 - 1. assign V794369 = V164316 - 1. assign V954370 = V062245 + 1. assign V837147 = V787135 + 1. assign V922412 = V956514 + 1. assign V711011 = V273917. assign V092751 = 0. assign V955270 = V793957. assign V793957 = V509811. assign V666604 = V488540 - 1. assign V591544 = V112659. assign V130378 = V660075 - 1. assign V509811 = V025697. assign V124546 = V028407 + 1. assign V014558 = V112659 - 1. assign V742099 = V273917. assign V799191 = V025697 + 1. assign V614232 = V711658 - 1. assign V787135 = V711658 - 1. assign V875170 = V970409 + 1. assign V556023 = V468545 - 1. assign V283410 = V273917 + 1. assign V591493 = V230111 - 1. assign V964816 = V273917 + 1. assign V706077 = V989891 + 1. assign V935718 = V711011. assign V885643 = V092751 - 1. assign V354494 = V560906. assign V255818 = V787135. assign V535450 = V685943 + 1. assign V401410 = V468545 - 1. assign V592669 = V956514 + 1. assign V189803 = V645071 + 1. assign V897309 = V161128 - 1. assign V273917 = V488540 - 1. assign V378597 = V161128 + 1. assign V025697 = V488540 - 1. assign V262267 = V306183 - 1. assign V488540 = V112659 + 1. assign V736040 = V511230. assign V795499 = V814579 + 1. assign V183852 = V813390 + 1. assign V660075 = V124546. assign V010999 = V970409 + 1. assign V002643 = V354494 - 1. assign V645071 = V488540 + 1. assign V277151 = V989891 + 1. assign V062245 = V685943. assign V218510 = V956514 - 1. assign V230111 = V814579 - 1. assign V603135 = V795499. assign V970409 = V645071 + 1. assign V758240 = V010999 + 1. assign V727030 = V112659. assign V813390 = V189803 - 1. assign V277697 = V002643. assign V832968 = V795499 - 1. assign V711658 = V956514 + 1. assign V129403 = V251151. assign V468545 = V306183 - 1. assign V042976 = V556023 + 1. assign V876836 = V232650. assign V164316 = V488540 + 1. assign V905767 = V970409 - 1. assign V444281 = V218510 - 1. assign V381091 = V552286 + 1. assign V685943 = V645071. assign V251151 = V813390 - 1. assign V814579 = V164316 - 1. assign V232650 = V164316 + 1. assign V956514 = V645071. assign V468512 = V685943. assign V006309 = V905767. assign V973153 = V591544. assign V370390 = V468545 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V552286 = V189803 + 1. assign V179219 = V473162 + 1. assign V511230 = V556023 - 1. assign V560906 = V645071 - 1. assign V028407 = V666604. assign V473162 = V956514. assign V744442 = V645071 + 1. assign V989891 = V014558 + 1. assign V161128 = V218510. assign V990774 = V560906 - 1. assign V306183 = V354494 - 1. assign V812493 = V511230 - 1. assign V794369 = V164316 - 1. assign V954370 = V062245 + 1. assign V837147 = V787135 + 1. assign V922412 = V956514 + 1. assign V711011 = V273917. assign V092751 = 0. assign V955270 = V793957. assign V793957 = V509811. assign V666604 = V488540 - 1. assign V591544 = V112659. assign V130378 = V660075 - 1. assign V509811 = V025697. assign V124546 = V028407 + 1. assign V014558 = V112659 - 1. assign V742099 = V273917. assign V799191 = V025697 + 1. assign V614232 = V711658 - 1. assign V787135 = V711658 - 1. assign V875170 = V970409 + 1. assign V556023 = V468545 - 1. assign V283410 = V273917 + 1. assign V591493 = V230111 - 1. assign V964816 = V273917 + 1. assign V706077 = V989891 + 1. assign V935718 = V711011. assign V885643 = V092751 - 1. assign V354494 = V560906. assign V255818 = V787135. assign V535450 = V685943 + 1. assign V401410 = V468545 - 1. assign V592669 = V956514 + 1. assign V189803 = V645071 + 1. assign V897309 = V161128 - 1. assign V273917 = V488540 - 1. assign V378597 = V161128 + 1. assign V025697 = V488540 - 1. assign V262267 = V306183 - 1. assign V488540 = V112659 + 1. assign V736040 = V511230. assign V795499 = V814579 + 1. assign V183852 = V813390 + 1. assign V660075 = V124546. assign V010999 = V970409 + 1. assign V002643 = V354494 - 1. assign V645071 = V488540 + 1. assign V277151 = V989891 + 1. assign V062245 = V685943. assign V218510 = V956514 - 1. assign V230111 = V814579 - 1. assign V603135 = V795499. assign V970409 = V645071 + 1. assign V758240 = V010999 + 1. assign V727030 = V112659. assign V813390 = V189803 - 1. assign V277697 = V002643. assign V832968 = V795499 - 1. assign V711658 = V956514 + 1. assign V129403 = V251151. assign V468545 = V306183 - 1. assign V042976 = V556023 + 1. assign V876836 = V232650. assign V164316 = V488540 + 1. assign V905767 = V970409 - 1. assign V444281 = V218510 - 1. assign V381091 = V552286 + 1. assign V685943 = V645071. assign V251151 = V813390 - 1. assign V814579 = V164316 - 1. assign V232650 = V164316 + 1. assign V956514 = V645071. assign V468512 = V685943. assign V006309 = V905767. assign V973153 = V591544. assign V370390 = V468545 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV092751 = 0;\n\nFrom these direct assignment(s), we have: \nV885643 = V092751 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V885643;\nNo other variables can be derived from V092751;\n\nNow we have done all the calculations. Derived variables are:\nV092751 = 0;\nV885643 = -1;\n\nNow we have finished this problem. ANSWER:\nV885643\n", "role": "assistant" } ]

[ "V920192" ]

[ { "content": "<context>\nassign V391894 = V975722 - 1. assign V019672 = V185075. assign V920192 = 0. assign V354858 = V146089 + 1. assign V561764 = V259577 - 1. assign V975722 = V296026 - 1. assign V259577 = V193574 + 1. assign V002018 = V259577 - 1. assign V416663 = V769769 - 1. assign V732354 = V037242 + 1. assign V813792 = V677386. assign V777908 = V104269. assign V889378 = V416663. assign V658058 = V467075 + 1. assign V024683 = V132531 + 1. assign V535234 = V767123 + 1. assign V185075 = V296026 - 1. assign V303927 = V185075. assign V761658 = V185075 + 1. assign V659210 = V019672. assign V861503 = V816857 + 1. assign V825309 = V296026 + 1. assign V394367 = V036696 - 1. assign V896249 = V599626. assign V306522 = V190321 + 1. assign V371472 = V550051. assign V296026 = V844444. assign V190321 = V041760 + 1. assign V685893 = V844444 + 1. assign V930469 = V732354 - 1. assign V104269 = V037242. assign V320563 = V505489. assign V650325 = V467075 - 1. assign V767326 = V108914 + 1. assign V271696 = V930469 + 1. assign V811004 = V104269. assign V563340 = V391894 + 1. assign V088400 = V104269 - 1. assign V108914 = V732354 + 1. assign V193574 = V296026. assign V752737 = V505489 - 1. assign V844444 = V041760. assign V451319 = V271696. assign V924283 = V550051 + 1. assign V334164 = V303927 + 1. assign V037242 = V346328 - 1. assign V455206 = V493485 + 1. assign V961672 = V769769. assign V796289 = V108914 + 1. assign V540478 = V096632 - 1. assign V383295 = V104269. assign V053921 = V037242 + 1. assign V146089 = V104269 + 1. assign V564968 = V416663. assign V493485 = V037242 - 1. assign V880341 = V391894 - 1. assign V924331 = V210314 + 1. assign V573276 = V190321 + 1. assign V036696 = V405743 - 1. assign V772905 = V296026 - 1. assign V767123 = V563340 + 1. assign V032050 = V796289. assign V254042 = V930469. assign V297676 = V306522. assign V571818 = V920192 + 1. assign V255536 = V391894 + 1. assign V096632 = V296026 - 1. assign V405743 = V041760. assign V677386 = V467075. assign V816857 = V346328. assign V210314 = V108914 + 1. assign V146358 = V767123 + 1. assign V132531 = V930469. assign V596419 = V796289 - 1. assign V126792 = V493485 - 1. assign V428033 = V346328 - 1. assign V467075 = V772905 + 1. assign V769769 = V405743 - 1. assign V691008 = V297676. assign V335249 = V383295. assign V550051 = V975722 + 1. assign V086733 = V816857 - 1. assign V041760 = V053921 - 1. assign V505489 = V037242. assign V263511 = V053921 - 1. assign V599626 = V297676 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V391894 = V975722 - 1. assign V019672 = V185075. assign V920192 = 0. assign V354858 = V146089 + 1. assign V561764 = V259577 - 1. assign V975722 = V296026 - 1. assign V259577 = V193574 + 1. assign V002018 = V259577 - 1. assign V416663 = V769769 - 1. assign V732354 = V037242 + 1. assign V813792 = V677386. assign V777908 = V104269. assign V889378 = V416663. assign V658058 = V467075 + 1. assign V024683 = V132531 + 1. assign V535234 = V767123 + 1. assign V185075 = V296026 - 1. assign V303927 = V185075. assign V761658 = V185075 + 1. assign V659210 = V019672. assign V861503 = V816857 + 1. assign V825309 = V296026 + 1. assign V394367 = V036696 - 1. assign V896249 = V599626. assign V306522 = V190321 + 1. assign V371472 = V550051. assign V296026 = V844444. assign V190321 = V041760 + 1. assign V685893 = V844444 + 1. assign V930469 = V732354 - 1. assign V104269 = V037242. assign V320563 = V505489. assign V650325 = V467075 - 1. assign V767326 = V108914 + 1. assign V271696 = V930469 + 1. assign V811004 = V104269. assign V563340 = V391894 + 1. assign V088400 = V104269 - 1. assign V108914 = V732354 + 1. assign V193574 = V296026. assign V752737 = V505489 - 1. assign V844444 = V041760. assign V451319 = V271696. assign V924283 = V550051 + 1. assign V334164 = V303927 + 1. assign V037242 = V346328 - 1. assign V455206 = V493485 + 1. assign V961672 = V769769. assign V796289 = V108914 + 1. assign V540478 = V096632 - 1. assign V383295 = V104269. assign V053921 = V037242 + 1. assign V146089 = V104269 + 1. assign V564968 = V416663. assign V493485 = V037242 - 1. assign V880341 = V391894 - 1. assign V924331 = V210314 + 1. assign V573276 = V190321 + 1. assign V036696 = V405743 - 1. assign V772905 = V296026 - 1. assign V767123 = V563340 + 1. assign V032050 = V796289. assign V254042 = V930469. assign V297676 = V306522. assign V571818 = V920192 + 1. assign V255536 = V391894 + 1. assign V096632 = V296026 - 1. assign V405743 = V041760. assign V677386 = V467075. assign V816857 = V346328. assign V210314 = V108914 + 1. assign V146358 = V767123 + 1. assign V132531 = V930469. assign V596419 = V796289 - 1. assign V126792 = V493485 - 1. assign V428033 = V346328 - 1. assign V467075 = V772905 + 1. assign V769769 = V405743 - 1. assign V691008 = V297676. assign V335249 = V383295. assign V550051 = V975722 + 1. assign V086733 = V816857 - 1. assign V041760 = V053921 - 1. assign V505489 = V037242. assign V263511 = V053921 - 1. assign V599626 = V297676 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV920192 = 0;\n\nFrom these direct assignment(s), we have: \nV571818 = V920192 + 1 = 0 + 1 =1;\nNo other variables can be derived from V571818;\nNo other variables can be derived from V920192;\n\nNow we have done all the calculations. Derived variables are:\nV920192 = 0;\nV571818 = 1;\n\nNow we have finished this problem. ANSWER:\nV920192\n", "role": "assistant" } ]

[ "V924322" ]

[ { "content": "<context>\nassign V270622 = V403705. assign V523035 = V403705. assign V071068 = V881075 + 1. assign V993096 = V474509 - 1. assign V540713 = V993096 + 1. assign V129266 = V235998 + 1. assign V670821 = V187156 - 1. assign V001955 = V187156. assign V141539 = V750991 + 1. assign V189999 = V965616. assign V881075 = V451869 - 1. assign V395529 = V568894 + 1. assign V935299 = V936467 - 1. assign V283898 = V451869 - 1. assign V137527 = V701752 - 1. assign V063252 = V858994 + 1. assign V512906 = V162688 + 1. assign V911131 = V935703. assign V801158 = V897481. assign V178218 = V881075. assign V920985 = V894754. assign V235998 = V986980 + 1. assign V740405 = V001955 + 1. assign V828912 = V935299. assign V894894 = V561003 - 1. assign V609414 = V474509 + 1. assign V753690 = V303805. assign V924322 = V830935 + 1. assign V060080 = V027448. assign V935703 = V858994. assign V603177 = V965616. assign V918228 = V283898 + 1. assign V788968 = V512906. assign V746179 = V187156. assign V303805 = V187156 - 1. assign V242880 = V403705 + 1. assign V442664 = V320333 + 1. assign V130751 = V791451. assign V339872 = V791451. assign V360751 = V801158 - 1. assign V320333 = V911131. assign V997077 = V063252 - 1. assign V965616 = V001955 - 1. assign V485979 = V750991 + 1. assign V974428 = V569125 + 1. assign V238368 = V320333 - 1. assign V241652 = V001955 + 1. assign V791451 = V858994. assign V355251 = V187156 - 1. assign V044624 = V474509 + 1. assign V701752 = V609414 + 1. assign V068171 = V403705 + 1. assign V474509 = V858994. assign V911341 = V940125. assign V858994 = V001955 + 1. assign V986980 = V940125 + 1. assign V763075 = V241652 + 1. assign V561003 = V355251 - 1. assign V892707 = V044624. assign V913725 = V929084. assign V086625 = V063252 + 1. assign V263336 = V997077. assign V993332 = V283898 + 1. assign V568894 = V701752. assign V569125 = V858994 - 1. assign V936467 = V427757 - 1. assign V869764 = V283898 - 1. assign V162102 = V997077 + 1. assign V027448 = V048534 - 1. assign V578720 = V355251 + 1. assign V328898 = V858994. assign V875638 = V986980 + 1. assign V734679 = V523035. assign V451869 = V940125. assign V830935 = 0. assign V750991 = V986980 + 1. assign V894754 = V241652 + 1. assign V990769 = V241652 + 1. assign V427757 = V609414 - 1. assign V403705 = V063252 - 1. assign V929084 = V858994 + 1. assign V162688 = V929084 + 1. assign V671396 = V263336. assign V048534 = V609414 - 1. assign V940125 = V858994. assign V897481 = V986980 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V270622 = V403705. assign V523035 = V403705. assign V071068 = V881075 + 1. assign V993096 = V474509 - 1. assign V540713 = V993096 + 1. assign V129266 = V235998 + 1. assign V670821 = V187156 - 1. assign V001955 = V187156. assign V141539 = V750991 + 1. assign V189999 = V965616. assign V881075 = V451869 - 1. assign V395529 = V568894 + 1. assign V935299 = V936467 - 1. assign V283898 = V451869 - 1. assign V137527 = V701752 - 1. assign V063252 = V858994 + 1. assign V512906 = V162688 + 1. assign V911131 = V935703. assign V801158 = V897481. assign V178218 = V881075. assign V920985 = V894754. assign V235998 = V986980 + 1. assign V740405 = V001955 + 1. assign V828912 = V935299. assign V894894 = V561003 - 1. assign V609414 = V474509 + 1. assign V753690 = V303805. assign V924322 = V830935 + 1. assign V060080 = V027448. assign V935703 = V858994. assign V603177 = V965616. assign V918228 = V283898 + 1. assign V788968 = V512906. assign V746179 = V187156. assign V303805 = V187156 - 1. assign V242880 = V403705 + 1. assign V442664 = V320333 + 1. assign V130751 = V791451. assign V339872 = V791451. assign V360751 = V801158 - 1. assign V320333 = V911131. assign V997077 = V063252 - 1. assign V965616 = V001955 - 1. assign V485979 = V750991 + 1. assign V974428 = V569125 + 1. assign V238368 = V320333 - 1. assign V241652 = V001955 + 1. assign V791451 = V858994. assign V355251 = V187156 - 1. assign V044624 = V474509 + 1. assign V701752 = V609414 + 1. assign V068171 = V403705 + 1. assign V474509 = V858994. assign V911341 = V940125. assign V858994 = V001955 + 1. assign V986980 = V940125 + 1. assign V763075 = V241652 + 1. assign V561003 = V355251 - 1. assign V892707 = V044624. assign V913725 = V929084. assign V086625 = V063252 + 1. assign V263336 = V997077. assign V993332 = V283898 + 1. assign V568894 = V701752. assign V569125 = V858994 - 1. assign V936467 = V427757 - 1. assign V869764 = V283898 - 1. assign V162102 = V997077 + 1. assign V027448 = V048534 - 1. assign V578720 = V355251 + 1. assign V328898 = V858994. assign V875638 = V986980 + 1. assign V734679 = V523035. assign V451869 = V940125. assign V830935 = 0. assign V750991 = V986980 + 1. assign V894754 = V241652 + 1. assign V990769 = V241652 + 1. assign V427757 = V609414 - 1. assign V403705 = V063252 - 1. assign V929084 = V858994 + 1. assign V162688 = V929084 + 1. assign V671396 = V263336. assign V048534 = V609414 - 1. assign V940125 = V858994. assign V897481 = V986980 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV830935 = 0;\n\nFrom these direct assignment(s), we have: \nV924322 = V830935 + 1 = 0 + 1 =1;\nNo other variables can be derived from V924322;\nNo other variables can be derived from V830935;\n\nNow we have done all the calculations. Derived variables are:\nV830935 = 0;\nV924322 = 1;\n\nNow we have finished this problem. ANSWER:\nV924322\n", "role": "assistant" } ]

[ "V475724", "V751553" ]

[ { "content": "<context>\nassign V113624 = V526186. assign V677486 = V469721 + 1. assign V474354 = V721283 - 1. assign V322215 = V559704 - 1. assign V106905 = V181543 + 1. assign V892877 = V944664 + 1. assign V930940 = V837189 - 1. assign V346974 = V660535 + 1. assign V562468 = V892877 - 1. assign V574388 = V474354 + 1. assign V247066 = V677444 - 1. assign V761192 = V122019 + 1. assign V944664 = V526186 + 1. assign V469721 = V837189 + 1. assign V074516 = V631146 + 1. assign V742675 = V920451 - 1. assign V678573 = V930940 - 1. assign V728629 = V044985 - 1. assign V751553 = V475724. assign V872743 = V944664 - 1. assign V170380 = V999301 + 1. assign V084892 = V860827 - 1. assign V428229 = V944664 - 1. assign V750210 = V922127 - 1. assign V783433 = V728629 - 1. assign V044985 = V860827. assign V001128 = V227776 + 1. assign V122019 = V631146 + 1. assign V163947 = V054001 - 1. assign V660535 = V497176 - 1. assign V446084 = V474354 - 1. assign V054001 = V548137 + 1. assign V860827 = V317759 + 1. assign V076920 = V892877. assign V016090 = V759759 + 1. assign V990307 = V892877 - 1. assign V259266 = V892877. assign V486855 = V783433. assign V142773 = V759759 - 1. assign V538126 = V469721 - 1. assign V501003 = V763936. assign V379852 = V170380 - 1. assign V649923 = V074516. assign V020173 = V526186 + 1. assign V181543 = V077056. assign V309835 = V721283 - 1. assign V236510 = V631146. assign V462243 = V236510 + 1. assign V505713 = V042789 + 1. assign V781728 = V077056 - 1. assign V385862 = V750210. assign V332168 = V346974 - 1. assign V513436 = V142773. assign V631146 = V423134. assign V166709 = V346974 - 1. assign V680612 = V505713 - 1. assign V408815 = V379852 + 1. assign V999301 = V631146 - 1. assign V922127 = V559704. assign V475724 = 5. assign V721283 = V526186 - 1. assign V548137 = V559704. assign V759759 = V562468 + 1. assign V156316 = V677486 + 1. assign V774126 = V381590 + 1. assign V677444 = V920451. assign V559704 = V074516 - 1. assign V763936 = V631146 + 1. assign V198463 = V559704 + 1. assign V526186 = V423134 + 1. assign V280224 = V170380 + 1. assign V217346 = V181543 + 1. assign V787228 = V381590. assign V837189 = V423134. assign V742233 = V526186 - 1. assign V170602 = V497176. assign V077056 = V322215. assign V042789 = V054001. assign V387492 = V559704 - 1. assign V317759 = V872743 + 1. assign V497176 = V562468. assign V860561 = V860827 - 1. assign V301355 = V322215. assign V227776 = V016090 - 1. assign V920451 = V381590 + 1. assign V381590 = V497176 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V113624 = V526186. assign V677486 = V469721 + 1. assign V474354 = V721283 - 1. assign V322215 = V559704 - 1. assign V106905 = V181543 + 1. assign V892877 = V944664 + 1. assign V930940 = V837189 - 1. assign V346974 = V660535 + 1. assign V562468 = V892877 - 1. assign V574388 = V474354 + 1. assign V247066 = V677444 - 1. assign V761192 = V122019 + 1. assign V944664 = V526186 + 1. assign V469721 = V837189 + 1. assign V074516 = V631146 + 1. assign V742675 = V920451 - 1. assign V678573 = V930940 - 1. assign V728629 = V044985 - 1. assign V751553 = V475724. assign V872743 = V944664 - 1. assign V170380 = V999301 + 1. assign V084892 = V860827 - 1. assign V428229 = V944664 - 1. assign V750210 = V922127 - 1. assign V783433 = V728629 - 1. assign V044985 = V860827. assign V001128 = V227776 + 1. assign V122019 = V631146 + 1. assign V163947 = V054001 - 1. assign V660535 = V497176 - 1. assign V446084 = V474354 - 1. assign V054001 = V548137 + 1. assign V860827 = V317759 + 1. assign V076920 = V892877. assign V016090 = V759759 + 1. assign V990307 = V892877 - 1. assign V259266 = V892877. assign V486855 = V783433. assign V142773 = V759759 - 1. assign V538126 = V469721 - 1. assign V501003 = V763936. assign V379852 = V170380 - 1. assign V649923 = V074516. assign V020173 = V526186 + 1. assign V181543 = V077056. assign V309835 = V721283 - 1. assign V236510 = V631146. assign V462243 = V236510 + 1. assign V505713 = V042789 + 1. assign V781728 = V077056 - 1. assign V385862 = V750210. assign V332168 = V346974 - 1. assign V513436 = V142773. assign V631146 = V423134. assign V166709 = V346974 - 1. assign V680612 = V505713 - 1. assign V408815 = V379852 + 1. assign V999301 = V631146 - 1. assign V922127 = V559704. assign V475724 = 5. assign V721283 = V526186 - 1. assign V548137 = V559704. assign V759759 = V562468 + 1. assign V156316 = V677486 + 1. assign V774126 = V381590 + 1. assign V677444 = V920451. assign V559704 = V074516 - 1. assign V763936 = V631146 + 1. assign V198463 = V559704 + 1. assign V526186 = V423134 + 1. assign V280224 = V170380 + 1. assign V217346 = V181543 + 1. assign V787228 = V381590. assign V837189 = V423134. assign V742233 = V526186 - 1. assign V170602 = V497176. assign V077056 = V322215. assign V042789 = V054001. assign V387492 = V559704 - 1. assign V317759 = V872743 + 1. assign V497176 = V562468. assign V860561 = V860827 - 1. assign V301355 = V322215. assign V227776 = V016090 - 1. assign V920451 = V381590 + 1. assign V381590 = V497176 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV475724 = 5;\n\nFrom these direct assignment(s), we have: \nV751553 = V475724 = 5;\nNo other variables can be derived from V751553;\nNo other variables can be derived from V475724;\n\nNow we have done all the calculations. Derived variables are:\nV475724 = 5;\nV751553 = 5;\n\nNow we have finished this problem. ANSWER:\nV475724, V751553\n", "role": "assistant" } ]

[ "V055547", "V457349" ]

[ { "content": "<context>\nassign V286647 = V563419 + 1. assign V732803 = V494210. assign V930262 = V985168 + 1. assign V622379 = V820829. assign V485955 = V985168. assign V951282 = V888741 - 1. assign V988836 = V711796 - 1. assign V798350 = V976845 - 1. assign V175590 = V888741 + 1. assign V945462 = V424084 - 1. assign V255157 = V485955 + 1. assign V051330 = V792395 + 1. assign V424084 = V226220. assign V307132 = V497964 + 1. assign V728071 = V226220 + 1. assign V985738 = V798350 - 1. assign V093232 = V951282 - 1. assign V497964 = V226220 - 1. assign V126830 = V477619 + 1. assign V530674 = V281154 + 1. assign V281154 = V047167 + 1. assign V891633 = V424084. assign V048284 = V819953. assign V829797 = V454996. assign V237853 = V454996. assign V055282 = V497964 - 1. assign V065559 = V951282 - 1. assign V863947 = V971354 - 1. assign V317232 = V977221 + 1. assign V053552 = V351065 - 1. assign V091562 = V988836. assign V226220 = V985168. assign V874673 = V569722. assign V711796 = V971354. assign V118581 = V424084 + 1. assign V569722 = V485955 - 1. assign V321894 = V283946 + 1. assign V717647 = V454996. assign V055898 = V454996 - 1. assign V314317 = V226220 + 1. assign V347728 = V976845. assign V408903 = V485955. assign V494210 = V055282. assign V459438 = V089595 - 1. assign V565748 = V485955 - 1. assign V711672 = V055282. assign V440970 = V408903. assign V283946 = V317232. assign V197624 = V988836 + 1. assign V047167 = V985168. assign V976845 = V485955 - 1. assign V733387 = V454996 + 1. assign V840477 = V829797 + 1. assign V761419 = V175590 - 1. assign V271050 = V945462 - 1. assign V888741 = V930262. assign V035343 = V945462 - 1. assign V977221 = V091562 + 1. assign V792395 = V563419. assign V164143 = V454996 + 1. assign V820829 = V711796. assign V309722 = V951282 + 1. assign V351065 = V563419. assign V899360 = V977221 + 1. assign V477619 = V817575. assign V971354 = V569722 + 1. assign V812260 = V840477 + 1. assign V018951 = V971354 - 1. assign V055547 = 2. assign V536262 = V798350 + 1. assign V454996 = V569722 - 1. assign V689271 = V956722 + 1. assign V160322 = V863947 + 1. assign V293205 = V497964. assign V956722 = V118581 + 1. assign V457349 = V055547. assign V817575 = V951282 - 1. assign V089595 = V485955 - 1. assign V862670 = V819953 - 1. assign V563419 = V424084 + 1. assign V819953 = V569722 - 1. assign V176562 = V951282 - 1. assign V785865 = V945462. assign V770166 = V985738 + 1. assign V417418 = V569722 - 1. assign V211058 = V930262.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V286647 = V563419 + 1. assign V732803 = V494210. assign V930262 = V985168 + 1. assign V622379 = V820829. assign V485955 = V985168. assign V951282 = V888741 - 1. assign V988836 = V711796 - 1. assign V798350 = V976845 - 1. assign V175590 = V888741 + 1. assign V945462 = V424084 - 1. assign V255157 = V485955 + 1. assign V051330 = V792395 + 1. assign V424084 = V226220. assign V307132 = V497964 + 1. assign V728071 = V226220 + 1. assign V985738 = V798350 - 1. assign V093232 = V951282 - 1. assign V497964 = V226220 - 1. assign V126830 = V477619 + 1. assign V530674 = V281154 + 1. assign V281154 = V047167 + 1. assign V891633 = V424084. assign V048284 = V819953. assign V829797 = V454996. assign V237853 = V454996. assign V055282 = V497964 - 1. assign V065559 = V951282 - 1. assign V863947 = V971354 - 1. assign V317232 = V977221 + 1. assign V053552 = V351065 - 1. assign V091562 = V988836. assign V226220 = V985168. assign V874673 = V569722. assign V711796 = V971354. assign V118581 = V424084 + 1. assign V569722 = V485955 - 1. assign V321894 = V283946 + 1. assign V717647 = V454996. assign V055898 = V454996 - 1. assign V314317 = V226220 + 1. assign V347728 = V976845. assign V408903 = V485955. assign V494210 = V055282. assign V459438 = V089595 - 1. assign V565748 = V485955 - 1. assign V711672 = V055282. assign V440970 = V408903. assign V283946 = V317232. assign V197624 = V988836 + 1. assign V047167 = V985168. assign V976845 = V485955 - 1. assign V733387 = V454996 + 1. assign V840477 = V829797 + 1. assign V761419 = V175590 - 1. assign V271050 = V945462 - 1. assign V888741 = V930262. assign V035343 = V945462 - 1. assign V977221 = V091562 + 1. assign V792395 = V563419. assign V164143 = V454996 + 1. assign V820829 = V711796. assign V309722 = V951282 + 1. assign V351065 = V563419. assign V899360 = V977221 + 1. assign V477619 = V817575. assign V971354 = V569722 + 1. assign V812260 = V840477 + 1. assign V018951 = V971354 - 1. assign V055547 = 2. assign V536262 = V798350 + 1. assign V454996 = V569722 - 1. assign V689271 = V956722 + 1. assign V160322 = V863947 + 1. assign V293205 = V497964. assign V956722 = V118581 + 1. assign V457349 = V055547. assign V817575 = V951282 - 1. assign V089595 = V485955 - 1. assign V862670 = V819953 - 1. assign V563419 = V424084 + 1. assign V819953 = V569722 - 1. assign V176562 = V951282 - 1. assign V785865 = V945462. assign V770166 = V985738 + 1. assign V417418 = V569722 - 1. assign V211058 = V930262.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV055547 = 2;\n\nFrom these direct assignment(s), we have: \nV457349 = V055547 = 2;\nNo other variables can be derived from V457349;\nNo other variables can be derived from V055547;\n\nNow we have done all the calculations. Derived variables are:\nV055547 = 2;\nV457349 = 2;\n\nNow we have finished this problem. ANSWER:\nV055547, V457349\n", "role": "assistant" } ]

[ "V494247" ]

[ { "content": "<context>\nassign V683920 = V688791 + 1. assign V976990 = 8. assign V925331 = V576788. assign V505354 = V837964 + 1. assign V828088 = V508630 - 1. assign V062751 = V563917. assign V921728 = V564666 - 1. assign V793905 = V310980 + 1. assign V563917 = V222332 + 1. assign V739658 = V508630. assign V538662 = V564666 + 1. assign V425331 = V508630 - 1. assign V921618 = V089076 + 1. assign V295461 = V508630 + 1. assign V561112 = V908838 - 1. assign V017996 = V509350 + 1. assign V859081 = V508630 - 1. assign V089076 = V466382. assign V158791 = V886947 - 1. assign V824215 = V270473 + 1. assign V511128 = V859081. assign V915947 = V043038. assign V784044 = V564666 + 1. assign V029391 = V368021. assign V660036 = V470885 - 1. assign V509350 = V511128 - 1. assign V295929 = V989461. assign V381624 = V553756 - 1. assign V804194 = V989461. assign V308556 = V229091. assign V310980 = V121854 - 1. assign V905328 = V229091. assign V553756 = V299702 + 1. assign V963958 = V166684 - 1. assign V368021 = V886947 - 1. assign V754102 = V466382 - 1. assign V550692 = V538662. assign V751937 = V310980 + 1. assign V096247 = V918159 + 1. assign V299702 = V077842 - 1. assign V270473 = V466382 + 1. assign V918159 = V390455. assign V815253 = V576788 + 1. assign V862707 = V550692 + 1. assign V811536 = V886947. assign V036417 = V754102 - 1. assign V292683 = V390455 - 1. assign V911132 = V508630. assign V000176 = V420687. assign V132491 = V059768 - 1. assign V420687 = V688791 - 1. assign V908838 = V849810 - 1. assign V847531 = V310980. assign V273254 = V121854 + 1. assign V989461 = V509350 + 1. assign V390455 = V466382 - 1. assign V222332 = V859081. assign V564666 = V121854 + 1. assign V688791 = V310980. assign V494247 = V976990 - 1. assign V211849 = V925331 + 1. assign V508630 = V849810 - 1. assign V502270 = V470885 - 1. assign V512877 = V989951 + 1. assign V075373 = V576788. assign V059768 = V911132. assign V537423 = V470885 + 1. assign V229091 = V466382 + 1. assign V849810 = V688791 - 1. assign V989951 = V121854 + 1. assign V610595 = V466382 - 1. assign V043038 = V886947 - 1. assign V667572 = V538662 + 1. assign V837964 = V273254 + 1. assign V121854 = V466382. assign V446590 = V550692 - 1. assign V886947 = V688791 + 1. assign V220073 = V299702 - 1. assign V736294 = V505354 + 1. assign V180403 = V292683 + 1. assign V251577 = V793905 - 1. assign V187624 = V550692. assign V166684 = V420687. assign V576788 = V511128. assign V077842 = V849810. assign V470885 = V273254 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V683920 = V688791 + 1. assign V976990 = 8. assign V925331 = V576788. assign V505354 = V837964 + 1. assign V828088 = V508630 - 1. assign V062751 = V563917. assign V921728 = V564666 - 1. assign V793905 = V310980 + 1. assign V563917 = V222332 + 1. assign V739658 = V508630. assign V538662 = V564666 + 1. assign V425331 = V508630 - 1. assign V921618 = V089076 + 1. assign V295461 = V508630 + 1. assign V561112 = V908838 - 1. assign V017996 = V509350 + 1. assign V859081 = V508630 - 1. assign V089076 = V466382. assign V158791 = V886947 - 1. assign V824215 = V270473 + 1. assign V511128 = V859081. assign V915947 = V043038. assign V784044 = V564666 + 1. assign V029391 = V368021. assign V660036 = V470885 - 1. assign V509350 = V511128 - 1. assign V295929 = V989461. assign V381624 = V553756 - 1. assign V804194 = V989461. assign V308556 = V229091. assign V310980 = V121854 - 1. assign V905328 = V229091. assign V553756 = V299702 + 1. assign V963958 = V166684 - 1. assign V368021 = V886947 - 1. assign V754102 = V466382 - 1. assign V550692 = V538662. assign V751937 = V310980 + 1. assign V096247 = V918159 + 1. assign V299702 = V077842 - 1. assign V270473 = V466382 + 1. assign V918159 = V390455. assign V815253 = V576788 + 1. assign V862707 = V550692 + 1. assign V811536 = V886947. assign V036417 = V754102 - 1. assign V292683 = V390455 - 1. assign V911132 = V508630. assign V000176 = V420687. assign V132491 = V059768 - 1. assign V420687 = V688791 - 1. assign V908838 = V849810 - 1. assign V847531 = V310980. assign V273254 = V121854 + 1. assign V989461 = V509350 + 1. assign V390455 = V466382 - 1. assign V222332 = V859081. assign V564666 = V121854 + 1. assign V688791 = V310980. assign V494247 = V976990 - 1. assign V211849 = V925331 + 1. assign V508630 = V849810 - 1. assign V502270 = V470885 - 1. assign V512877 = V989951 + 1. assign V075373 = V576788. assign V059768 = V911132. assign V537423 = V470885 + 1. assign V229091 = V466382 + 1. assign V849810 = V688791 - 1. assign V989951 = V121854 + 1. assign V610595 = V466382 - 1. assign V043038 = V886947 - 1. assign V667572 = V538662 + 1. assign V837964 = V273254 + 1. assign V121854 = V466382. assign V446590 = V550692 - 1. assign V886947 = V688791 + 1. assign V220073 = V299702 - 1. assign V736294 = V505354 + 1. assign V180403 = V292683 + 1. assign V251577 = V793905 - 1. assign V187624 = V550692. assign V166684 = V420687. assign V576788 = V511128. assign V077842 = V849810. assign V470885 = V273254 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV976990 = 8;\n\nFrom these direct assignment(s), we have: \nV494247 = V976990 - 1 = 8 - 1 =7;\nNo other variables can be derived from V494247;\nNo other variables can be derived from V976990;\n\nNow we have done all the calculations. Derived variables are:\nV976990 = 8;\nV494247 = 7;\n\nNow we have finished this problem. ANSWER:\nV494247\n", "role": "assistant" } ]

[ "V123107" ]

[ { "content": "<context>\nassign V842055 = V465485 + 1. assign V205083 = V587658 + 1. assign V150602 = V364041. assign V282803 = V426207. assign V249507 = V046414 + 1. assign V426207 = V292945 + 1. assign V410196 = V140271. assign V422377 = V140271. assign V350006 = V155131. assign V473563 = V350006. assign V140271 = V275468 + 1. assign V450911 = V055585. assign V110690 = 7. assign V783887 = V473563. assign V588621 = V738630 - 1. assign V118425 = V730974 - 1. assign V273519 = V376211 - 1. assign V707608 = V652322. assign V123107 = V110690 + 1. assign V563635 = V118425 + 1. assign V345861 = V155131. assign V118714 = V555159 + 1. assign V637963 = V113626. assign V358130 = V473563 + 1. assign V765425 = V118425. assign V996549 = V150602. assign V831215 = V046599 + 1. assign V216033 = V744408. assign V333063 = V324298 - 1. assign V657718 = V652322. assign V001109 = V868225. assign V555159 = V350006 - 1. assign V339588 = V266366 + 1. assign V324298 = V652322. assign V084427 = V118425 + 1. assign V692628 = V842571 + 1. assign V155131 = V652322. assign V221556 = V140271 - 1. assign V573851 = V364041. assign V420328 = V350006 - 1. assign V202000 = V657718. assign V832670 = V280945. assign V275468 = V333063 - 1. assign V325748 = V046599. assign V716626 = V465485 + 1. assign V212279 = V155131 - 1. assign V738630 = V155131 - 1. assign V842571 = V976248 - 1. assign V668617 = V072129 + 1. assign V072129 = V324298. assign V119519 = V652322 + 1. assign V483794 = V205083 + 1. assign V046414 = V242245. assign V229676 = V113626. assign V280945 = V996549 - 1. assign V868225 = V996549 - 1. assign V055585 = V221556 - 1. assign V364041 = V707608 + 1. assign V860541 = V781547. assign V184398 = V324298 + 1. assign V475872 = V216033. assign V711565 = V350006. assign V744408 = V420328. assign V465485 = V350006 - 1. assign V781547 = V587658 + 1. assign V376211 = V711565 - 1. assign V243098 = V364041 - 1. assign V582526 = V707608. assign V631418 = V976248 - 1. assign V908281 = V113626 - 1. assign V242245 = V280945 - 1. assign V216977 = V781547. assign V841295 = V765425. assign V646278 = V212279 - 1. assign V021713 = V046599 + 1. assign V587658 = V707608 + 1. assign V730974 = V908281 + 1. assign V228236 = V072129 - 1. assign V046599 = V587658 - 1. assign V664957 = V711565 + 1. assign V087826 = V765425 + 1. assign V266366 = V668617. assign V113626 = V781547. assign V653816 = V483794 + 1. assign V976248 = V473563 + 1. assign V292945 = V842055.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V842055 = V465485 + 1. assign V205083 = V587658 + 1. assign V150602 = V364041. assign V282803 = V426207. assign V249507 = V046414 + 1. assign V426207 = V292945 + 1. assign V410196 = V140271. assign V422377 = V140271. assign V350006 = V155131. assign V473563 = V350006. assign V140271 = V275468 + 1. assign V450911 = V055585. assign V110690 = 7. assign V783887 = V473563. assign V588621 = V738630 - 1. assign V118425 = V730974 - 1. assign V273519 = V376211 - 1. assign V707608 = V652322. assign V123107 = V110690 + 1. assign V563635 = V118425 + 1. assign V345861 = V155131. assign V118714 = V555159 + 1. assign V637963 = V113626. assign V358130 = V473563 + 1. assign V765425 = V118425. assign V996549 = V150602. assign V831215 = V046599 + 1. assign V216033 = V744408. assign V333063 = V324298 - 1. assign V657718 = V652322. assign V001109 = V868225. assign V555159 = V350006 - 1. assign V339588 = V266366 + 1. assign V324298 = V652322. assign V084427 = V118425 + 1. assign V692628 = V842571 + 1. assign V155131 = V652322. assign V221556 = V140271 - 1. assign V573851 = V364041. assign V420328 = V350006 - 1. assign V202000 = V657718. assign V832670 = V280945. assign V275468 = V333063 - 1. assign V325748 = V046599. assign V716626 = V465485 + 1. assign V212279 = V155131 - 1. assign V738630 = V155131 - 1. assign V842571 = V976248 - 1. assign V668617 = V072129 + 1. assign V072129 = V324298. assign V119519 = V652322 + 1. assign V483794 = V205083 + 1. assign V046414 = V242245. assign V229676 = V113626. assign V280945 = V996549 - 1. assign V868225 = V996549 - 1. assign V055585 = V221556 - 1. assign V364041 = V707608 + 1. assign V860541 = V781547. assign V184398 = V324298 + 1. assign V475872 = V216033. assign V711565 = V350006. assign V744408 = V420328. assign V465485 = V350006 - 1. assign V781547 = V587658 + 1. assign V376211 = V711565 - 1. assign V243098 = V364041 - 1. assign V582526 = V707608. assign V631418 = V976248 - 1. assign V908281 = V113626 - 1. assign V242245 = V280945 - 1. assign V216977 = V781547. assign V841295 = V765425. assign V646278 = V212279 - 1. assign V021713 = V046599 + 1. assign V587658 = V707608 + 1. assign V730974 = V908281 + 1. assign V228236 = V072129 - 1. assign V046599 = V587658 - 1. assign V664957 = V711565 + 1. assign V087826 = V765425 + 1. assign V266366 = V668617. assign V113626 = V781547. assign V653816 = V483794 + 1. assign V976248 = V473563 + 1. assign V292945 = V842055.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV110690 = 7;\n\nFrom these direct assignment(s), we have: \nV123107 = V110690 + 1 = 7 + 1 =8;\nNo other variables can be derived from V123107;\nNo other variables can be derived from V110690;\n\nNow we have done all the calculations. Derived variables are:\nV110690 = 7;\nV123107 = 8;\n\nNow we have finished this problem. ANSWER:\nV123107\n", "role": "assistant" } ]

[ "V693382" ]

[ { "content": "<context>\nassign V020487 = V053287. assign V313301 = V967985. assign V525604 = V500796 - 1. assign V693382 = V231010 - 1. assign V906786 = V718613. assign V162403 = V903822. assign V241057 = V568987. assign V759809 = V155994 + 1. assign V102601 = V967549 + 1. assign V962712 = V698674. assign V662016 = V203461. assign V690268 = V296925 + 1. assign V875848 = V286241 + 1. assign V558419 = V947696 + 1. assign V568987 = V570241 + 1. assign V876318 = V967985 + 1. assign V321098 = V988987 - 1. assign V620974 = V907912 + 1. assign V881758 = V301166 - 1. assign V164661 = V231906 + 1. assign V155994 = V475417. assign V286241 = V357287 + 1. assign V996570 = V505996 + 1. assign V967985 = V301166 - 1. assign V960130 = V409015 + 1. assign V411547 = V102601 + 1. assign V757443 = V331786. assign V903822 = V558419 + 1. assign V344435 = V303271 - 1. assign V653481 = V718613. assign V249449 = V331786. assign V203461 = V296925. assign V386256 = V988987. assign V500796 = V051232 - 1. assign V354790 = V272391 + 1. assign V797593 = V523804 + 1. assign V296925 = V967549. assign V452732 = V357287 + 1. assign V891701 = V967985. assign V570241 = V967549 - 1. assign V272391 = V231906 - 1. assign V114571 = V203461. assign V267824 = V386256 + 1. assign V303271 = V386256 - 1. assign V138034 = V500796. assign V231010 = 5. assign V301166 = V718613. assign V331786 = V845185 + 1. assign V097251 = V891701. assign V523804 = V585734 - 1. assign V967549 = V718613 - 1. assign V239330 = V452732 + 1. assign V231906 = V982436 - 1. assign V670306 = V231906 + 1. assign V778547 = V952829. assign V982436 = V718613 + 1. assign V168235 = V960130 + 1. assign V055981 = V203461 + 1. assign V409015 = V020487 - 1. assign V797459 = V055981 + 1. assign V357287 = V718613 - 1. assign V988987 = V718613 - 1. assign V845185 = V286241 + 1. assign V557242 = V301166 + 1. assign V698674 = V718613 + 1. assign V433001 = V051232 - 1. assign V691073 = V982436 + 1. assign V947696 = V357287 + 1. assign V362488 = V055981 + 1. assign V141863 = V525604 - 1. assign V699659 = V286241 - 1. assign V354711 = V053287 + 1. assign V927953 = V203461 + 1. assign V884890 = V231906. assign V505996 = V357287 + 1. assign V907912 = V947696 - 1. assign V762987 = V301166 - 1. assign V952829 = V452732 + 1. assign V475417 = V718613 - 1. assign V053287 = V505996 - 1. assign V500640 = V557242 + 1. assign V823948 = V055981 + 1. assign V546948 = V718613. assign V147215 = V699659 - 1. assign V051232 = V357287. assign V585734 = V155994 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V020487 = V053287. assign V313301 = V967985. assign V525604 = V500796 - 1. assign V693382 = V231010 - 1. assign V906786 = V718613. assign V162403 = V903822. assign V241057 = V568987. assign V759809 = V155994 + 1. assign V102601 = V967549 + 1. assign V962712 = V698674. assign V662016 = V203461. assign V690268 = V296925 + 1. assign V875848 = V286241 + 1. assign V558419 = V947696 + 1. assign V568987 = V570241 + 1. assign V876318 = V967985 + 1. assign V321098 = V988987 - 1. assign V620974 = V907912 + 1. assign V881758 = V301166 - 1. assign V164661 = V231906 + 1. assign V155994 = V475417. assign V286241 = V357287 + 1. assign V996570 = V505996 + 1. assign V967985 = V301166 - 1. assign V960130 = V409015 + 1. assign V411547 = V102601 + 1. assign V757443 = V331786. assign V903822 = V558419 + 1. assign V344435 = V303271 - 1. assign V653481 = V718613. assign V249449 = V331786. assign V203461 = V296925. assign V386256 = V988987. assign V500796 = V051232 - 1. assign V354790 = V272391 + 1. assign V797593 = V523804 + 1. assign V296925 = V967549. assign V452732 = V357287 + 1. assign V891701 = V967985. assign V570241 = V967549 - 1. assign V272391 = V231906 - 1. assign V114571 = V203461. assign V267824 = V386256 + 1. assign V303271 = V386256 - 1. assign V138034 = V500796. assign V231010 = 5. assign V301166 = V718613. assign V331786 = V845185 + 1. assign V097251 = V891701. assign V523804 = V585734 - 1. assign V967549 = V718613 - 1. assign V239330 = V452732 + 1. assign V231906 = V982436 - 1. assign V670306 = V231906 + 1. assign V778547 = V952829. assign V982436 = V718613 + 1. assign V168235 = V960130 + 1. assign V055981 = V203461 + 1. assign V409015 = V020487 - 1. assign V797459 = V055981 + 1. assign V357287 = V718613 - 1. assign V988987 = V718613 - 1. assign V845185 = V286241 + 1. assign V557242 = V301166 + 1. assign V698674 = V718613 + 1. assign V433001 = V051232 - 1. assign V691073 = V982436 + 1. assign V947696 = V357287 + 1. assign V362488 = V055981 + 1. assign V141863 = V525604 - 1. assign V699659 = V286241 - 1. assign V354711 = V053287 + 1. assign V927953 = V203461 + 1. assign V884890 = V231906. assign V505996 = V357287 + 1. assign V907912 = V947696 - 1. assign V762987 = V301166 - 1. assign V952829 = V452732 + 1. assign V475417 = V718613 - 1. assign V053287 = V505996 - 1. assign V500640 = V557242 + 1. assign V823948 = V055981 + 1. assign V546948 = V718613. assign V147215 = V699659 - 1. assign V051232 = V357287. assign V585734 = V155994 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV231010 = 5;\n\nFrom these direct assignment(s), we have: \nV693382 = V231010 - 1 = 5 - 1 =4;\nNo other variables can be derived from V693382;\nNo other variables can be derived from V231010;\n\nNow we have done all the calculations. Derived variables are:\nV231010 = 5;\nV693382 = 4;\n\nNow we have finished this problem. ANSWER:\nV693382\n", "role": "assistant" } ]

[ "V561254" ]

[ { "content": "<context>\nassign V199444 = V521681 + 1. assign V966564 = V503587. assign V296612 = V753690 + 1. assign V387076 = V650228 - 1. assign V556849 = V763226 + 1. assign V177725 = V650412 - 1. assign V876231 = V554247 + 1. assign V839738 = V763226 - 1. assign V632484 = V566639 - 1. assign V831591 = V373081. assign V579774 = V704599. assign V657439 = V279045. assign V373081 = V632484 + 1. assign V645570 = V554247. assign V213232 = V548063 - 1. assign V549499 = V443035 + 1. assign V880147 = V665843 - 1. assign V704599 = V665843 + 1. assign V158427 = V650228. assign V106567 = V510400. assign V638368 = V650228 + 1. assign V465921 = V552555 - 1. assign V198414 = V880147 + 1. assign V547649 = V703580 - 1. assign V542090 = V638368 - 1. assign V146357 = V665843 + 1. assign V584181 = V547649 - 1. assign V306094 = V194431 - 1. assign V467791 = V106567. assign V503587 = V763226 + 1. assign V557948 = V755564. assign V279045 = V803740 + 1. assign V247181 = V555027. assign V692480 = V621679. assign V621679 = V880147 + 1. assign V937423 = V120115. assign V670604 = V552555. assign V468441 = V650228. assign V538667 = V946244. assign V813656 = V556849 + 1. assign V650228 = V665843. assign V302544 = V555027. assign V554247 = V521681. assign V521681 = V946244 - 1. assign V555027 = V510400 + 1. assign V542599 = V556849 - 1. assign V136487 = V561254 - 1. assign V665843 = V803740. assign V443035 = V279045 + 1. assign V684121 = V713897. assign V194431 = V247181 + 1. assign V576792 = V895289 + 1. assign V826022 = V200174 - 1. assign V703580 = V554247. assign V111258 = V946244 - 1. assign V552555 = V684121. assign V713897 = V200174 - 1. assign V495566 = V556849. assign V093511 = V146357 - 1. assign V204231 = V638368 + 1. assign V008812 = V120115 + 1. assign V650412 = V548063. assign V014386 = V106567. assign V510400 = V200174. assign V715583 = V763226 - 1. assign V559236 = V247181. assign V566639 = V194431. assign V946244 = V803740 - 1. assign V640534 = V670604 + 1. assign V951302 = V247181 - 1. assign V561254 = 4. assign V015596 = V111258 + 1. assign V773477 = V510400 - 1. assign V120115 = V638368 - 1. assign V763226 = V665843 + 1. assign V087787 = V158427 + 1. assign V217764 = V621679 + 1. assign V665578 = V876231 + 1. assign V200174 = V657439 + 1. assign V548063 = V554247. assign V753690 = V510400 + 1. assign V755564 = V194431. assign V651965 = V194431 + 1. assign V895289 = V556849 + 1. assign V388655 = V826022 + 1. assign V013488 = V966564 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V199444 = V521681 + 1. assign V966564 = V503587. assign V296612 = V753690 + 1. assign V387076 = V650228 - 1. assign V556849 = V763226 + 1. assign V177725 = V650412 - 1. assign V876231 = V554247 + 1. assign V839738 = V763226 - 1. assign V632484 = V566639 - 1. assign V831591 = V373081. assign V579774 = V704599. assign V657439 = V279045. assign V373081 = V632484 + 1. assign V645570 = V554247. assign V213232 = V548063 - 1. assign V549499 = V443035 + 1. assign V880147 = V665843 - 1. assign V704599 = V665843 + 1. assign V158427 = V650228. assign V106567 = V510400. assign V638368 = V650228 + 1. assign V465921 = V552555 - 1. assign V198414 = V880147 + 1. assign V547649 = V703580 - 1. assign V542090 = V638368 - 1. assign V146357 = V665843 + 1. assign V584181 = V547649 - 1. assign V306094 = V194431 - 1. assign V467791 = V106567. assign V503587 = V763226 + 1. assign V557948 = V755564. assign V279045 = V803740 + 1. assign V247181 = V555027. assign V692480 = V621679. assign V621679 = V880147 + 1. assign V937423 = V120115. assign V670604 = V552555. assign V468441 = V650228. assign V538667 = V946244. assign V813656 = V556849 + 1. assign V650228 = V665843. assign V302544 = V555027. assign V554247 = V521681. assign V521681 = V946244 - 1. assign V555027 = V510400 + 1. assign V542599 = V556849 - 1. assign V136487 = V561254 - 1. assign V665843 = V803740. assign V443035 = V279045 + 1. assign V684121 = V713897. assign V194431 = V247181 + 1. assign V576792 = V895289 + 1. assign V826022 = V200174 - 1. assign V703580 = V554247. assign V111258 = V946244 - 1. assign V552555 = V684121. assign V713897 = V200174 - 1. assign V495566 = V556849. assign V093511 = V146357 - 1. assign V204231 = V638368 + 1. assign V008812 = V120115 + 1. assign V650412 = V548063. assign V014386 = V106567. assign V510400 = V200174. assign V715583 = V763226 - 1. assign V559236 = V247181. assign V566639 = V194431. assign V946244 = V803740 - 1. assign V640534 = V670604 + 1. assign V951302 = V247181 - 1. assign V561254 = 4. assign V015596 = V111258 + 1. assign V773477 = V510400 - 1. assign V120115 = V638368 - 1. assign V763226 = V665843 + 1. assign V087787 = V158427 + 1. assign V217764 = V621679 + 1. assign V665578 = V876231 + 1. assign V200174 = V657439 + 1. assign V548063 = V554247. assign V753690 = V510400 + 1. assign V755564 = V194431. assign V651965 = V194431 + 1. assign V895289 = V556849 + 1. assign V388655 = V826022 + 1. assign V013488 = V966564 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV561254 = 4;\n\nFrom these direct assignment(s), we have: \nV136487 = V561254 - 1 = 4 - 1 =3;\nNo other variables can be derived from V136487;\nNo other variables can be derived from V561254;\n\nNow we have done all the calculations. Derived variables are:\nV561254 = 4;\nV136487 = 3;\n\nNow we have finished this problem. ANSWER:\nV561254\n", "role": "assistant" } ]

[ "V902882", "V541673" ]

[ { "content": "<context>\nassign V618512 = V021169. assign V691974 = V061432. assign V872983 = V193007 - 1. assign V363922 = V732499 + 1. assign V857456 = V003417. assign V487729 = V193007 + 1. assign V731764 = V691974 - 1. assign V317338 = V295536 + 1. assign V600831 = V212103. assign V426427 = V541416. assign V542671 = V685544 + 1. assign V927512 = V459286 - 1. assign V148008 = V670857 + 1. assign V902882 = 10. assign V505081 = V685544. assign V010946 = V942897 + 1. assign V251549 = V589894 + 1. assign V541673 = V902882. assign V193007 = V685544 - 1. assign V934641 = V319797 - 1. assign V602482 = V458016 + 1. assign V592991 = V731213 - 1. assign V197115 = V317338 - 1. assign V533736 = V483751. assign V414937 = V325209 + 1. assign V543453 = V325209 + 1. assign V759003 = V908500 - 1. assign V325209 = V021169 + 1. assign V732215 = V475240. assign V212103 = V872983 - 1. assign V731213 = V380784 + 1. assign V475240 = V053856 - 1. assign V276811 = V444121. assign V398037 = V759003 + 1. assign V914113 = V193007 + 1. assign V363012 = V386281 - 1. assign V207259 = V010946. assign V818877 = V475240 + 1. assign V527653 = V380784 + 1. assign V744915 = V369890 - 1. assign V249918 = V386281 + 1. assign V189301 = V731213. assign V061432 = V363922 - 1. assign V337121 = V386281 + 1. assign V887165 = V380784. assign V904747 = V459286. assign V013598 = V855103 + 1. assign V053856 = V732499 + 1. assign V855103 = V183434. assign V319797 = V363922 + 1. assign V646094 = V904747. assign V143294 = V908500 - 1. assign V048769 = V995797 + 1. assign V021169 = V732499. assign V541416 = V872983 + 1. assign V483751 = V212103 + 1. assign V409332 = V592991 + 1. assign V057661 = V744915. assign V908500 = V021169 - 1. assign V183434 = V731213 - 1. assign V003417 = V942897 - 1. assign V022088 = V995797 + 1. assign V721778 = V061432 + 1. assign V685544 = V380784 + 1. assign V981581 = V193007. assign V759428 = V183434 + 1. assign V589894 = V569424. assign V295536 = V053856 - 1. assign V569424 = V409332. assign V458016 = V732499 + 1. assign V369890 = V458016 + 1. assign V995797 = V487729 + 1. assign V186078 = V927512. assign V037817 = V444121 + 1. assign V914870 = V475240 - 1. assign V866109 = V618512 + 1. assign V386281 = V527653 + 1. assign V732499 = V685544 + 1. assign V459286 = V685544. assign V122989 = V363922. assign V242183 = V527653. assign V942897 = V053856 - 1. assign V373257 = V602482. assign V670857 = V444121. assign V444121 = V487729. assign V932788 = V197115.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V618512 = V021169. assign V691974 = V061432. assign V872983 = V193007 - 1. assign V363922 = V732499 + 1. assign V857456 = V003417. assign V487729 = V193007 + 1. assign V731764 = V691974 - 1. assign V317338 = V295536 + 1. assign V600831 = V212103. assign V426427 = V541416. assign V542671 = V685544 + 1. assign V927512 = V459286 - 1. assign V148008 = V670857 + 1. assign V902882 = 10. assign V505081 = V685544. assign V010946 = V942897 + 1. assign V251549 = V589894 + 1. assign V541673 = V902882. assign V193007 = V685544 - 1. assign V934641 = V319797 - 1. assign V602482 = V458016 + 1. assign V592991 = V731213 - 1. assign V197115 = V317338 - 1. assign V533736 = V483751. assign V414937 = V325209 + 1. assign V543453 = V325209 + 1. assign V759003 = V908500 - 1. assign V325209 = V021169 + 1. assign V732215 = V475240. assign V212103 = V872983 - 1. assign V731213 = V380784 + 1. assign V475240 = V053856 - 1. assign V276811 = V444121. assign V398037 = V759003 + 1. assign V914113 = V193007 + 1. assign V363012 = V386281 - 1. assign V207259 = V010946. assign V818877 = V475240 + 1. assign V527653 = V380784 + 1. assign V744915 = V369890 - 1. assign V249918 = V386281 + 1. assign V189301 = V731213. assign V061432 = V363922 - 1. assign V337121 = V386281 + 1. assign V887165 = V380784. assign V904747 = V459286. assign V013598 = V855103 + 1. assign V053856 = V732499 + 1. assign V855103 = V183434. assign V319797 = V363922 + 1. assign V646094 = V904747. assign V143294 = V908500 - 1. assign V048769 = V995797 + 1. assign V021169 = V732499. assign V541416 = V872983 + 1. assign V483751 = V212103 + 1. assign V409332 = V592991 + 1. assign V057661 = V744915. assign V908500 = V021169 - 1. assign V183434 = V731213 - 1. assign V003417 = V942897 - 1. assign V022088 = V995797 + 1. assign V721778 = V061432 + 1. assign V685544 = V380784 + 1. assign V981581 = V193007. assign V759428 = V183434 + 1. assign V589894 = V569424. assign V295536 = V053856 - 1. assign V569424 = V409332. assign V458016 = V732499 + 1. assign V369890 = V458016 + 1. assign V995797 = V487729 + 1. assign V186078 = V927512. assign V037817 = V444121 + 1. assign V914870 = V475240 - 1. assign V866109 = V618512 + 1. assign V386281 = V527653 + 1. assign V732499 = V685544 + 1. assign V459286 = V685544. assign V122989 = V363922. assign V242183 = V527653. assign V942897 = V053856 - 1. assign V373257 = V602482. assign V670857 = V444121. assign V444121 = V487729. assign V932788 = V197115.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV902882 = 10;\n\nFrom these direct assignment(s), we have: \nV541673 = V902882 = 10;\nNo other variables can be derived from V541673;\nNo other variables can be derived from V902882;\n\nNow we have done all the calculations. Derived variables are:\nV902882 = 10;\nV541673 = 10;\n\nNow we have finished this problem. ANSWER:\nV902882, V541673\n", "role": "assistant" } ]

[ "V442608", "V154708" ]

[ { "content": "<context>\nassign V041524 = V871427 - 1. assign V925037 = V359635 - 1. assign V781283 = V540855 - 1. assign V917289 = V325514 + 1. assign V101583 = V154571. assign V050801 = V871427 - 1. assign V066238 = V222692 - 1. assign V099430 = V835738 - 1. assign V637941 = V287285. assign V867771 = V871427 + 1. assign V299832 = V288562 + 1. assign V893252 = V391344. assign V540855 = V929146 - 1. assign V197819 = V929146 + 1. assign V028479 = V373589. assign V003019 = V325514 + 1. assign V222692 = V546850. assign V512502 = V287285. assign V154571 = V391344. assign V391344 = V871427 - 1. assign V387281 = V703445 + 1. assign V082294 = V042340 - 1. assign V599860 = V037075. assign V272725 = V893252. assign V849649 = V047246 - 1. assign V325705 = V003019. assign V288562 = V896211. assign V803758 = V042340. assign V984798 = V359635. assign V725469 = V497958. assign V138085 = V917289 - 1. assign V653077 = V299832 + 1. assign V497958 = V359635 - 1. assign V154708 = V442608. assign V350251 = V117418. assign V751910 = V896211 - 1. assign V219161 = V387281 + 1. assign V571394 = V042340. assign V896211 = V871427 + 1. assign V410962 = V941343 - 1. assign V055423 = V849649 - 1. assign V042144 = V219161. assign V953112 = V871427 + 1. assign V830621 = V154571 + 1. assign V340133 = V288562 + 1. assign V474230 = V517534 - 1. assign V287285 = V896211 - 1. assign V042340 = V288562 + 1. assign V311723 = V350251 - 1. assign V537480 = V917289. assign V929146 = V703445 + 1. assign V630538 = V637941 - 1. assign V359635 = V893252. assign V220955 = V287285 - 1. assign V442608 = 5. assign V607816 = V410962 - 1. assign V619728 = V751910. assign V401133 = V599860 + 1. assign V696581 = V929146 - 1. assign V254993 = V696581 - 1. assign V112085 = V288562. assign V325514 = V154571 + 1. assign V517534 = V350251 - 1. assign V511907 = V042340 + 1. assign V373589 = V117418. assign V657800 = V630522 - 1. assign V666422 = V893252. assign V037075 = V696581 + 1. assign V271493 = V497958 - 1. assign V630522 = V272725. assign V871397 = V512502 + 1. assign V117418 = V387281. assign V047246 = V512502 - 1. assign V993696 = V101583. assign V247641 = V474230 + 1. assign V835738 = V896211. assign V572018 = V835738 - 1. assign V546850 = V154571. assign V284156 = V896211 - 1. assign V703445 = V941343. assign V128960 = V953112. assign V298322 = V871427 - 1. assign V941343 = V391344 - 1. assign V414729 = V929146. assign V254658 = V537480. assign V706716 = V637941.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V041524 = V871427 - 1. assign V925037 = V359635 - 1. assign V781283 = V540855 - 1. assign V917289 = V325514 + 1. assign V101583 = V154571. assign V050801 = V871427 - 1. assign V066238 = V222692 - 1. assign V099430 = V835738 - 1. assign V637941 = V287285. assign V867771 = V871427 + 1. assign V299832 = V288562 + 1. assign V893252 = V391344. assign V540855 = V929146 - 1. assign V197819 = V929146 + 1. assign V028479 = V373589. assign V003019 = V325514 + 1. assign V222692 = V546850. assign V512502 = V287285. assign V154571 = V391344. assign V391344 = V871427 - 1. assign V387281 = V703445 + 1. assign V082294 = V042340 - 1. assign V599860 = V037075. assign V272725 = V893252. assign V849649 = V047246 - 1. assign V325705 = V003019. assign V288562 = V896211. assign V803758 = V042340. assign V984798 = V359635. assign V725469 = V497958. assign V138085 = V917289 - 1. assign V653077 = V299832 + 1. assign V497958 = V359635 - 1. assign V154708 = V442608. assign V350251 = V117418. assign V751910 = V896211 - 1. assign V219161 = V387281 + 1. assign V571394 = V042340. assign V896211 = V871427 + 1. assign V410962 = V941343 - 1. assign V055423 = V849649 - 1. assign V042144 = V219161. assign V953112 = V871427 + 1. assign V830621 = V154571 + 1. assign V340133 = V288562 + 1. assign V474230 = V517534 - 1. assign V287285 = V896211 - 1. assign V042340 = V288562 + 1. assign V311723 = V350251 - 1. assign V537480 = V917289. assign V929146 = V703445 + 1. assign V630538 = V637941 - 1. assign V359635 = V893252. assign V220955 = V287285 - 1. assign V442608 = 5. assign V607816 = V410962 - 1. assign V619728 = V751910. assign V401133 = V599860 + 1. assign V696581 = V929146 - 1. assign V254993 = V696581 - 1. assign V112085 = V288562. assign V325514 = V154571 + 1. assign V517534 = V350251 - 1. assign V511907 = V042340 + 1. assign V373589 = V117418. assign V657800 = V630522 - 1. assign V666422 = V893252. assign V037075 = V696581 + 1. assign V271493 = V497958 - 1. assign V630522 = V272725. assign V871397 = V512502 + 1. assign V117418 = V387281. assign V047246 = V512502 - 1. assign V993696 = V101583. assign V247641 = V474230 + 1. assign V835738 = V896211. assign V572018 = V835738 - 1. assign V546850 = V154571. assign V284156 = V896211 - 1. assign V703445 = V941343. assign V128960 = V953112. assign V298322 = V871427 - 1. assign V941343 = V391344 - 1. assign V414729 = V929146. assign V254658 = V537480. assign V706716 = V637941.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV442608 = 5;\n\nFrom these direct assignment(s), we have: \nV154708 = V442608 = 5;\nNo other variables can be derived from V154708;\nNo other variables can be derived from V442608;\n\nNow we have done all the calculations. Derived variables are:\nV442608 = 5;\nV154708 = 5;\n\nNow we have finished this problem. ANSWER:\nV442608, V154708\n", "role": "assistant" } ]

[ "V935723" ]

[ { "content": "<context>\nassign V964102 = V149963 + 1. assign V675023 = V749716. assign V548327 = V162958. assign V418532 = V562763. assign V335741 = V548327. assign V324489 = V457086 + 1. assign V833443 = V981400 - 1. assign V597350 = V162958 + 1. assign V457086 = V183606. assign V183606 = V149963 + 1. assign V617273 = V262830 + 1. assign V149694 = V749716 - 1. assign V083520 = V183606 - 1. assign V749716 = V183606. assign V789503 = V416979 - 1. assign V085630 = V017691. assign V957086 = V446889 - 1. assign V797854 = V995284 - 1. assign V927680 = V162958. assign V981400 = V395534 + 1. assign V366163 = V597350. assign V957568 = V201303 - 1. assign V846480 = V416979. assign V594756 = V149963 - 1. assign V819042 = V509041 - 1. assign V697799 = V056298 - 1. assign V650221 = V725902. assign V345008 = V162958. assign V262830 = V788064. assign V780045 = V846480 - 1. assign V807510 = V149952 - 1. assign V123333 = V149694 - 1. assign V411036 = V630224 - 1. assign V725902 = V538730 + 1. assign V400693 = V866519 - 1. assign V571570 = V418532 - 1. assign V395534 = V548327 + 1. assign V488003 = V509041 - 1. assign V975918 = V807510 - 1. assign V788064 = V964102 + 1. assign V354870 = V964102 + 1. assign V820612 = V797854. assign V747060 = V935723 + 1. assign V149952 = V562763 + 1. assign V234949 = V345008 - 1. assign V983897 = V819042. assign V302845 = V149952 + 1. assign V920895 = V362102 - 1. assign V866519 = V162958. assign V621975 = V149952 - 1. assign V436644 = V366163 - 1. assign V926849 = V538730 - 1. assign V267896 = V866519 + 1. assign V562763 = V964102. assign V889105 = V354870 + 1. assign V149963 = V162958 - 1. assign V567100 = V149952. assign V057203 = V345008 - 1. assign V594955 = V995284. assign V131674 = V725902. assign V095237 = V807510 + 1. assign V462580 = V846876. assign V266620 = V562763 + 1. assign V670544 = V789503 + 1. assign V201303 = V571570 - 1. assign V056298 = V436644 + 1. assign V644577 = V149694 - 1. assign V558592 = V789503 - 1. assign V935723 = 8. assign V762742 = V266620 + 1. assign V509041 = V866519 - 1. assign V098930 = V788064. assign V727389 = V149952 - 1. assign V362102 = V548327 + 1. assign V446889 = V995284. assign V630224 = V162958. assign V017691 = V056298. assign V692475 = V725902 + 1. assign V846876 = V395534 + 1. assign V156780 = V807510 - 1. assign V219408 = V926849. assign V687386 = V630224 + 1. assign V416979 = V162958. assign V882124 = V889105 + 1. assign V538730 = V416979 + 1. assign V995284 = V630224 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V964102 = V149963 + 1. assign V675023 = V749716. assign V548327 = V162958. assign V418532 = V562763. assign V335741 = V548327. assign V324489 = V457086 + 1. assign V833443 = V981400 - 1. assign V597350 = V162958 + 1. assign V457086 = V183606. assign V183606 = V149963 + 1. assign V617273 = V262830 + 1. assign V149694 = V749716 - 1. assign V083520 = V183606 - 1. assign V749716 = V183606. assign V789503 = V416979 - 1. assign V085630 = V017691. assign V957086 = V446889 - 1. assign V797854 = V995284 - 1. assign V927680 = V162958. assign V981400 = V395534 + 1. assign V366163 = V597350. assign V957568 = V201303 - 1. assign V846480 = V416979. assign V594756 = V149963 - 1. assign V819042 = V509041 - 1. assign V697799 = V056298 - 1. assign V650221 = V725902. assign V345008 = V162958. assign V262830 = V788064. assign V780045 = V846480 - 1. assign V807510 = V149952 - 1. assign V123333 = V149694 - 1. assign V411036 = V630224 - 1. assign V725902 = V538730 + 1. assign V400693 = V866519 - 1. assign V571570 = V418532 - 1. assign V395534 = V548327 + 1. assign V488003 = V509041 - 1. assign V975918 = V807510 - 1. assign V788064 = V964102 + 1. assign V354870 = V964102 + 1. assign V820612 = V797854. assign V747060 = V935723 + 1. assign V149952 = V562763 + 1. assign V234949 = V345008 - 1. assign V983897 = V819042. assign V302845 = V149952 + 1. assign V920895 = V362102 - 1. assign V866519 = V162958. assign V621975 = V149952 - 1. assign V436644 = V366163 - 1. assign V926849 = V538730 - 1. assign V267896 = V866519 + 1. assign V562763 = V964102. assign V889105 = V354870 + 1. assign V149963 = V162958 - 1. assign V567100 = V149952. assign V057203 = V345008 - 1. assign V594955 = V995284. assign V131674 = V725902. assign V095237 = V807510 + 1. assign V462580 = V846876. assign V266620 = V562763 + 1. assign V670544 = V789503 + 1. assign V201303 = V571570 - 1. assign V056298 = V436644 + 1. assign V644577 = V149694 - 1. assign V558592 = V789503 - 1. assign V935723 = 8. assign V762742 = V266620 + 1. assign V509041 = V866519 - 1. assign V098930 = V788064. assign V727389 = V149952 - 1. assign V362102 = V548327 + 1. assign V446889 = V995284. assign V630224 = V162958. assign V017691 = V056298. assign V692475 = V725902 + 1. assign V846876 = V395534 + 1. assign V156780 = V807510 - 1. assign V219408 = V926849. assign V687386 = V630224 + 1. assign V416979 = V162958. assign V882124 = V889105 + 1. assign V538730 = V416979 + 1. assign V995284 = V630224 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV935723 = 8;\n\nFrom these direct assignment(s), we have: \nV747060 = V935723 + 1 = 8 + 1 =9;\nNo other variables can be derived from V747060;\nNo other variables can be derived from V935723;\n\nNow we have done all the calculations. Derived variables are:\nV935723 = 8;\nV747060 = 9;\n\nNow we have finished this problem. ANSWER:\nV935723\n", "role": "assistant" } ]

[ "V378910" ]

[ { "content": "<context>\nassign V773385 = V924898 + 1. assign V311208 = V294184 + 1. assign V303434 = V087131 + 1. assign V686407 = V265465. assign V284593 = V403261. assign V692121 = V291994. assign V061898 = V242950. assign V806516 = V949556. assign V956444 = V405831 + 1. assign V200947 = V447081. assign V156292 = V250718. assign V930146 = V351831 - 1. assign V716239 = V218306 + 1. assign V633292 = V388382 - 1. assign V272547 = V884084. assign V403261 = V580762. assign V131471 = V388382 + 1. assign V087131 = V295982 + 1. assign V356551 = V325176. assign V709352 = V137166. assign V849573 = V351831 + 1. assign V560574 = V324996 + 1. assign V646064 = V472014 - 1. assign V635259 = V324996 - 1. assign V218306 = V447081 + 1. assign V860989 = V635259. assign V035372 = V351831 - 1. assign V648449 = V405831. assign V378910 = 3. assign V884084 = V593041 - 1. assign V924898 = V005510 + 1. assign V528594 = V413863. assign V333137 = V709210 + 1. assign V325176 = V409746. assign V265465 = V930146. assign V874607 = V829199. assign V709210 = V295982. assign V078668 = V250718 + 1. assign V472014 = V997497 - 1. assign V739774 = V709210 + 1. assign V593041 = V294184 - 1. assign V449114 = V291994 - 1. assign V405831 = V849573 + 1. assign V413863 = V829199 + 1. assign V763273 = V284593 + 1. assign V242950 = V593041 - 1. assign V324996 = V078668 - 1. assign V005510 = V566573 - 1. assign V094949 = V303434. assign V691837 = V265465. assign V605332 = V286438 - 1. assign V580762 = V351831. assign V570582 = V409746 - 1. assign V137166 = V409746. assign V459497 = V849573. assign V106877 = V828401. assign V388382 = V849573 - 1. assign V216983 = V409746. assign V021068 = V035372 - 1. assign V048131 = V156292 - 1. assign V286438 = V828401. assign V647001 = V078225 - 1. assign V409746 = V087131 + 1. assign V828401 = V580762 - 1. assign V447081 = V216983. assign V331303 = V692121 - 1. assign V250718 = V294184 + 1. assign V229102 = V449114. assign V294184 = V295982 + 1. assign V997497 = V137166 + 1. assign V595511 = V997497 - 1. assign V678735 = V709352. assign V368173 = V291994 + 1. assign V566573 = V137166. assign V916476 = V405831 + 1. assign V299085 = V378910 - 1. assign V302392 = V763273 + 1. assign V829199 = V078668 + 1. assign V011205 = V295982 + 1. assign V078225 = V216983 - 1. assign V922607 = V409746 + 1. assign V745776 = V324996. assign V511217 = V403261. assign V351831 = V295982. assign V949556 = V828401. assign V295982 = V291994.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V773385 = V924898 + 1. assign V311208 = V294184 + 1. assign V303434 = V087131 + 1. assign V686407 = V265465. assign V284593 = V403261. assign V692121 = V291994. assign V061898 = V242950. assign V806516 = V949556. assign V956444 = V405831 + 1. assign V200947 = V447081. assign V156292 = V250718. assign V930146 = V351831 - 1. assign V716239 = V218306 + 1. assign V633292 = V388382 - 1. assign V272547 = V884084. assign V403261 = V580762. assign V131471 = V388382 + 1. assign V087131 = V295982 + 1. assign V356551 = V325176. assign V709352 = V137166. assign V849573 = V351831 + 1. assign V560574 = V324996 + 1. assign V646064 = V472014 - 1. assign V635259 = V324996 - 1. assign V218306 = V447081 + 1. assign V860989 = V635259. assign V035372 = V351831 - 1. assign V648449 = V405831. assign V378910 = 3. assign V884084 = V593041 - 1. assign V924898 = V005510 + 1. assign V528594 = V413863. assign V333137 = V709210 + 1. assign V325176 = V409746. assign V265465 = V930146. assign V874607 = V829199. assign V709210 = V295982. assign V078668 = V250718 + 1. assign V472014 = V997497 - 1. assign V739774 = V709210 + 1. assign V593041 = V294184 - 1. assign V449114 = V291994 - 1. assign V405831 = V849573 + 1. assign V413863 = V829199 + 1. assign V763273 = V284593 + 1. assign V242950 = V593041 - 1. assign V324996 = V078668 - 1. assign V005510 = V566573 - 1. assign V094949 = V303434. assign V691837 = V265465. assign V605332 = V286438 - 1. assign V580762 = V351831. assign V570582 = V409746 - 1. assign V137166 = V409746. assign V459497 = V849573. assign V106877 = V828401. assign V388382 = V849573 - 1. assign V216983 = V409746. assign V021068 = V035372 - 1. assign V048131 = V156292 - 1. assign V286438 = V828401. assign V647001 = V078225 - 1. assign V409746 = V087131 + 1. assign V828401 = V580762 - 1. assign V447081 = V216983. assign V331303 = V692121 - 1. assign V250718 = V294184 + 1. assign V229102 = V449114. assign V294184 = V295982 + 1. assign V997497 = V137166 + 1. assign V595511 = V997497 - 1. assign V678735 = V709352. assign V368173 = V291994 + 1. assign V566573 = V137166. assign V916476 = V405831 + 1. assign V299085 = V378910 - 1. assign V302392 = V763273 + 1. assign V829199 = V078668 + 1. assign V011205 = V295982 + 1. assign V078225 = V216983 - 1. assign V922607 = V409746 + 1. assign V745776 = V324996. assign V511217 = V403261. assign V351831 = V295982. assign V949556 = V828401. assign V295982 = V291994.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV378910 = 3;\n\nFrom these direct assignment(s), we have: \nV299085 = V378910 - 1 = 3 - 1 =2;\nNo other variables can be derived from V299085;\nNo other variables can be derived from V378910;\n\nNow we have done all the calculations. Derived variables are:\nV378910 = 3;\nV299085 = 2;\n\nNow we have finished this problem. ANSWER:\nV378910\n", "role": "assistant" } ]

[ "V804392", "V519115" ]

[ { "content": "<context>\nassign V118996 = V925002 + 1. assign V824657 = V067153 + 1. assign V182907 = V070696 - 1. assign V030895 = V766508 - 1. assign V766508 = V797414 - 1. assign V280256 = V070696 + 1. assign V602740 = V070696 - 1. assign V014542 = V598460 - 1. assign V482052 = V663036 - 1. assign V232594 = V881525. assign V563927 = V788635 + 1. assign V838802 = V062778. assign V959617 = V061750 - 1. assign V584902 = V518857 - 1. assign V643287 = V062778. assign V164694 = V474156 - 1. assign V925002 = V639109 + 1. assign V460098 = V766508 - 1. assign V852066 = V584597 - 1. assign V639109 = V788635 - 1. assign V062778 = V639109 - 1. assign V270697 = V864583 - 1. assign V282472 = V611306. assign V427561 = V584902 - 1. assign V684268 = V371221 - 1. assign V545505 = V813479. assign V864583 = V813479. assign V983882 = V881525 + 1. assign V628819 = V712382 + 1. assign V611306 = V788635 - 1. assign V598460 = V584597 - 1. assign V702954 = V881525. assign V778054 = V838802 - 1. assign V371221 = V611306 + 1. assign V070696 = V864320. assign V018083 = V838802 + 1. assign V215643 = V061750 + 1. assign V813479 = V371221 + 1. assign V208475 = V371221. assign V519115 = V804392. assign V797414 = V683210. assign V346491 = V809530. assign V157925 = V983882. assign V518857 = V925002 - 1. assign V564270 = V684268 - 1. assign V816280 = V797414 + 1. assign V683210 = V371221 + 1. assign V305517 = V067153 - 1. assign V564172 = V070696 - 1. assign V809530 = V584902 + 1. assign V385726 = V371221 + 1. assign V455988 = V838802 - 1. assign V005892 = V797414 + 1. assign V601513 = V824657. assign V804392 = 6. assign V076816 = V305517 + 1. assign V881525 = V864320. assign V577005 = V062778. assign V230175 = V042397 - 1. assign V972115 = V404795. assign V538498 = V925002. assign V394783 = V564270 + 1. assign V507144 = V788635 - 1. assign V404795 = V157925. assign V215309 = V813479 - 1. assign V067153 = V813479 - 1. assign V370216 = V564270. assign V712382 = V062778 - 1. assign V711390 = V042397 - 1. assign V705820 = V230175 + 1. assign V584597 = V157925 + 1. assign V042397 = V370216 - 1. assign V474156 = V683210 - 1. assign V061750 = V838802 + 1. assign V663036 = V062778 + 1. assign V864320 = V788635 - 1. assign V565030 = V639109 + 1. assign V326558 = V518857 + 1. assign V490780 = V577005 + 1. assign V965644 = V702954. assign V495970 = V326558 - 1. assign V560120 = V602740. assign V702965 = V564172 + 1. assign V418251 = V018083 - 1. assign V413548 = V030895 - 1. assign V226622 = V965644 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V118996 = V925002 + 1. assign V824657 = V067153 + 1. assign V182907 = V070696 - 1. assign V030895 = V766508 - 1. assign V766508 = V797414 - 1. assign V280256 = V070696 + 1. assign V602740 = V070696 - 1. assign V014542 = V598460 - 1. assign V482052 = V663036 - 1. assign V232594 = V881525. assign V563927 = V788635 + 1. assign V838802 = V062778. assign V959617 = V061750 - 1. assign V584902 = V518857 - 1. assign V643287 = V062778. assign V164694 = V474156 - 1. assign V925002 = V639109 + 1. assign V460098 = V766508 - 1. assign V852066 = V584597 - 1. assign V639109 = V788635 - 1. assign V062778 = V639109 - 1. assign V270697 = V864583 - 1. assign V282472 = V611306. assign V427561 = V584902 - 1. assign V684268 = V371221 - 1. assign V545505 = V813479. assign V864583 = V813479. assign V983882 = V881525 + 1. assign V628819 = V712382 + 1. assign V611306 = V788635 - 1. assign V598460 = V584597 - 1. assign V702954 = V881525. assign V778054 = V838802 - 1. assign V371221 = V611306 + 1. assign V070696 = V864320. assign V018083 = V838802 + 1. assign V215643 = V061750 + 1. assign V813479 = V371221 + 1. assign V208475 = V371221. assign V519115 = V804392. assign V797414 = V683210. assign V346491 = V809530. assign V157925 = V983882. assign V518857 = V925002 - 1. assign V564270 = V684268 - 1. assign V816280 = V797414 + 1. assign V683210 = V371221 + 1. assign V305517 = V067153 - 1. assign V564172 = V070696 - 1. assign V809530 = V584902 + 1. assign V385726 = V371221 + 1. assign V455988 = V838802 - 1. assign V005892 = V797414 + 1. assign V601513 = V824657. assign V804392 = 6. assign V076816 = V305517 + 1. assign V881525 = V864320. assign V577005 = V062778. assign V230175 = V042397 - 1. assign V972115 = V404795. assign V538498 = V925002. assign V394783 = V564270 + 1. assign V507144 = V788635 - 1. assign V404795 = V157925. assign V215309 = V813479 - 1. assign V067153 = V813479 - 1. assign V370216 = V564270. assign V712382 = V062778 - 1. assign V711390 = V042397 - 1. assign V705820 = V230175 + 1. assign V584597 = V157925 + 1. assign V042397 = V370216 - 1. assign V474156 = V683210 - 1. assign V061750 = V838802 + 1. assign V663036 = V062778 + 1. assign V864320 = V788635 - 1. assign V565030 = V639109 + 1. assign V326558 = V518857 + 1. assign V490780 = V577005 + 1. assign V965644 = V702954. assign V495970 = V326558 - 1. assign V560120 = V602740. assign V702965 = V564172 + 1. assign V418251 = V018083 - 1. assign V413548 = V030895 - 1. assign V226622 = V965644 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV804392 = 6;\n\nFrom these direct assignment(s), we have: \nV519115 = V804392 = 6;\nNo other variables can be derived from V519115;\nNo other variables can be derived from V804392;\n\nNow we have done all the calculations. Derived variables are:\nV804392 = 6;\nV519115 = 6;\n\nNow we have finished this problem. ANSWER:\nV804392, V519115\n", "role": "assistant" } ]

[ "V365422" ]

[ { "content": "<context>\nassign V576578 = V919448 - 1. assign V173649 = V869677 - 1. assign V367369 = V195384. assign V919448 = V195384 + 1. assign V515672 = V274865 + 1. assign V515322 = V269826 - 1. assign V550401 = V444205 + 1. assign V153073 = V701945 - 1. assign V921162 = V576578 - 1. assign V701945 = V919448 - 1. assign V971067 = V757044 - 1. assign V440445 = V003090 - 1. assign V269826 = V195384. assign V210504 = V256375. assign V786628 = V974616. assign V670591 = V771693 + 1. assign V001709 = V515322. assign V472349 = V738064 - 1. assign V167979 = V008463 - 1. assign V771693 = V362412. assign V758382 = V956846 + 1. assign V538884 = V153073 + 1. assign V697419 = V550401 + 1. assign V974616 = V153073 - 1. assign V292474 = V989315. assign V106760 = V472349 + 1. assign V362412 = V956846. assign V348806 = V515322. assign V242563 = V268043 - 1. assign V256375 = V773409. assign V713689 = V348806 - 1. assign V757044 = V367369. assign V773409 = V956846 + 1. assign V268043 = V210504 - 1. assign V468813 = V949940 - 1. assign V262699 = V956846 - 1. assign V706684 = V713305 - 1. assign V779399 = V819012 - 1. assign V444205 = V625507. assign V063691 = V701945. assign V204462 = V195384. assign V023007 = V758382 - 1. assign V869677 = V625507. assign V713305 = V956846. assign V504641 = V625507. assign V161443 = V713689. assign V184386 = V362412 - 1. assign V801329 = V269826 - 1. assign V088582 = V046100 + 1. assign V365422 = V848648 + 1. assign V382779 = V515672. assign V949940 = V367369 + 1. assign V650972 = V713305 + 1. assign V066868 = V650972. assign V171665 = V974616 - 1. assign V390660 = V413202 + 1. assign V409196 = V023007 + 1. assign V738064 = V390660 - 1. assign V573500 = V949940 + 1. assign V413202 = V269826 + 1. assign V656089 = V956846 - 1. assign V722256 = V195384 + 1. assign V819012 = V722256. assign V991687 = V153073 + 1. assign V625507 = V195384 + 1. assign V044419 = V001709. assign V003090 = V956846 - 1. assign V464870 = V442964 - 1. assign V046100 = V262699. assign V799107 = V167979 + 1. assign V588924 = V773409 - 1. assign V859735 = V919448 - 1. assign V274865 = V367369. assign V989315 = V550401 + 1. assign V956846 = V269826 + 1. assign V385308 = V262699. assign V415805 = V538884 - 1. assign V496039 = V269826 - 1. assign V442964 = V956846. assign V575894 = V210504 + 1. assign V895684 = V921162 + 1. assign V679822 = V472349 + 1. assign V008463 = V367369 - 1. assign V740351 = V588924. assign V848648 = 7. assign V633587 = V046100 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V576578 = V919448 - 1. assign V173649 = V869677 - 1. assign V367369 = V195384. assign V919448 = V195384 + 1. assign V515672 = V274865 + 1. assign V515322 = V269826 - 1. assign V550401 = V444205 + 1. assign V153073 = V701945 - 1. assign V921162 = V576578 - 1. assign V701945 = V919448 - 1. assign V971067 = V757044 - 1. assign V440445 = V003090 - 1. assign V269826 = V195384. assign V210504 = V256375. assign V786628 = V974616. assign V670591 = V771693 + 1. assign V001709 = V515322. assign V472349 = V738064 - 1. assign V167979 = V008463 - 1. assign V771693 = V362412. assign V758382 = V956846 + 1. assign V538884 = V153073 + 1. assign V697419 = V550401 + 1. assign V974616 = V153073 - 1. assign V292474 = V989315. assign V106760 = V472349 + 1. assign V362412 = V956846. assign V348806 = V515322. assign V242563 = V268043 - 1. assign V256375 = V773409. assign V713689 = V348806 - 1. assign V757044 = V367369. assign V773409 = V956846 + 1. assign V268043 = V210504 - 1. assign V468813 = V949940 - 1. assign V262699 = V956846 - 1. assign V706684 = V713305 - 1. assign V779399 = V819012 - 1. assign V444205 = V625507. assign V063691 = V701945. assign V204462 = V195384. assign V023007 = V758382 - 1. assign V869677 = V625507. assign V713305 = V956846. assign V504641 = V625507. assign V161443 = V713689. assign V184386 = V362412 - 1. assign V801329 = V269826 - 1. assign V088582 = V046100 + 1. assign V365422 = V848648 + 1. assign V382779 = V515672. assign V949940 = V367369 + 1. assign V650972 = V713305 + 1. assign V066868 = V650972. assign V171665 = V974616 - 1. assign V390660 = V413202 + 1. assign V409196 = V023007 + 1. assign V738064 = V390660 - 1. assign V573500 = V949940 + 1. assign V413202 = V269826 + 1. assign V656089 = V956846 - 1. assign V722256 = V195384 + 1. assign V819012 = V722256. assign V991687 = V153073 + 1. assign V625507 = V195384 + 1. assign V044419 = V001709. assign V003090 = V956846 - 1. assign V464870 = V442964 - 1. assign V046100 = V262699. assign V799107 = V167979 + 1. assign V588924 = V773409 - 1. assign V859735 = V919448 - 1. assign V274865 = V367369. assign V989315 = V550401 + 1. assign V956846 = V269826 + 1. assign V385308 = V262699. assign V415805 = V538884 - 1. assign V496039 = V269826 - 1. assign V442964 = V956846. assign V575894 = V210504 + 1. assign V895684 = V921162 + 1. assign V679822 = V472349 + 1. assign V008463 = V367369 - 1. assign V740351 = V588924. assign V848648 = 7. assign V633587 = V046100 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV848648 = 7;\n\nFrom these direct assignment(s), we have: \nV365422 = V848648 + 1 = 7 + 1 =8;\nNo other variables can be derived from V365422;\nNo other variables can be derived from V848648;\n\nNow we have done all the calculations. Derived variables are:\nV848648 = 7;\nV365422 = 8;\n\nNow we have finished this problem. ANSWER:\nV365422\n", "role": "assistant" } ]

[ "V183375", "V114074" ]

[ { "content": "<context>\nassign V717277 = V988359 + 1. assign V384189 = V704579. assign V587765 = V690851 + 1. assign V836788 = V920593. assign V737783 = V276947 - 1. assign V692879 = V704579 + 1. assign V389230 = V717277 - 1. assign V971671 = V510455 - 1. assign V073426 = V895784 + 1. assign V384768 = V988359 + 1. assign V568387 = V583080. assign V891777 = V765566 - 1. assign V411037 = V001544 + 1. assign V694812 = V583080 + 1. assign V895784 = V890334. assign V266569 = V717277 - 1. assign V942224 = V993017 - 1. assign V444547 = V920593 + 1. assign V300002 = V704579 - 1. assign V080001 = V951809 + 1. assign V762228 = V993017. assign V378839 = V329853 + 1. assign V363283 = V510455 - 1. assign V276947 = V584481. assign V652372 = V276947 - 1. assign V765566 = V418820 - 1. assign V763570 = V690851 - 1. assign V770601 = V276947 + 1. assign V418820 = V014177. assign V646856 = V791216. assign V890334 = V583080 + 1. assign V920593 = V568387. assign V441880 = V717277. assign V610555 = V665591 + 1. assign V997374 = V001544. assign V054045 = V988359. assign V620448 = V652372 + 1. assign V370681 = V510455 - 1. assign V977907 = V001544. assign V114074 = V183375. assign V787794 = V320772 + 1. assign V040462 = V555312 + 1. assign V234501 = V895784 - 1. assign V695712 = V690851 + 1. assign V925783 = V765566 + 1. assign V329853 = V384768 - 1. assign V568408 = V907886. assign V365937 = V988359 - 1. assign V809580 = V001544 + 1. assign V951809 = V791216 + 1. assign V077413 = V409592 - 1. assign V793059 = V952724. assign V775772 = V266569 - 1. assign V150830 = V920593 + 1. assign V583080 = V704579 + 1. assign V832385 = V694812. assign V988359 = V583080. assign V012451 = V402290 - 1. assign V584481 = V951809. assign V434828 = V418820 - 1. assign V969683 = V054045. assign V480324 = V300002 + 1. assign V058299 = V568387. assign V409592 = V809580 + 1. assign V286509 = V363283 - 1. assign V907886 = V001544 - 1. assign V510455 = V717277. assign V279425 = V384768 + 1. assign V355507 = V791216. assign V641103 = V434828 + 1. assign V402290 = V409592 - 1. assign V001544 = V583080. assign V999637 = V583080 - 1. assign V014177 = V692879 - 1. assign V043366 = V320772. assign V320772 = V625756. assign V665591 = V363283 - 1. assign V183375 = 6. assign V555312 = V584481 + 1. assign V791216 = V704579. assign V690851 = V765566. assign V992024 = V993017. assign V993017 = V765566. assign V952724 = V276947 - 1. assign V625756 = V890334 + 1. assign V652659 = V765566 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V717277 = V988359 + 1. assign V384189 = V704579. assign V587765 = V690851 + 1. assign V836788 = V920593. assign V737783 = V276947 - 1. assign V692879 = V704579 + 1. assign V389230 = V717277 - 1. assign V971671 = V510455 - 1. assign V073426 = V895784 + 1. assign V384768 = V988359 + 1. assign V568387 = V583080. assign V891777 = V765566 - 1. assign V411037 = V001544 + 1. assign V694812 = V583080 + 1. assign V895784 = V890334. assign V266569 = V717277 - 1. assign V942224 = V993017 - 1. assign V444547 = V920593 + 1. assign V300002 = V704579 - 1. assign V080001 = V951809 + 1. assign V762228 = V993017. assign V378839 = V329853 + 1. assign V363283 = V510455 - 1. assign V276947 = V584481. assign V652372 = V276947 - 1. assign V765566 = V418820 - 1. assign V763570 = V690851 - 1. assign V770601 = V276947 + 1. assign V418820 = V014177. assign V646856 = V791216. assign V890334 = V583080 + 1. assign V920593 = V568387. assign V441880 = V717277. assign V610555 = V665591 + 1. assign V997374 = V001544. assign V054045 = V988359. assign V620448 = V652372 + 1. assign V370681 = V510455 - 1. assign V977907 = V001544. assign V114074 = V183375. assign V787794 = V320772 + 1. assign V040462 = V555312 + 1. assign V234501 = V895784 - 1. assign V695712 = V690851 + 1. assign V925783 = V765566 + 1. assign V329853 = V384768 - 1. assign V568408 = V907886. assign V365937 = V988359 - 1. assign V809580 = V001544 + 1. assign V951809 = V791216 + 1. assign V077413 = V409592 - 1. assign V793059 = V952724. assign V775772 = V266569 - 1. assign V150830 = V920593 + 1. assign V583080 = V704579 + 1. assign V832385 = V694812. assign V988359 = V583080. assign V012451 = V402290 - 1. assign V584481 = V951809. assign V434828 = V418820 - 1. assign V969683 = V054045. assign V480324 = V300002 + 1. assign V058299 = V568387. assign V409592 = V809580 + 1. assign V286509 = V363283 - 1. assign V907886 = V001544 - 1. assign V510455 = V717277. assign V279425 = V384768 + 1. assign V355507 = V791216. assign V641103 = V434828 + 1. assign V402290 = V409592 - 1. assign V001544 = V583080. assign V999637 = V583080 - 1. assign V014177 = V692879 - 1. assign V043366 = V320772. assign V320772 = V625756. assign V665591 = V363283 - 1. assign V183375 = 6. assign V555312 = V584481 + 1. assign V791216 = V704579. assign V690851 = V765566. assign V992024 = V993017. assign V993017 = V765566. assign V952724 = V276947 - 1. assign V625756 = V890334 + 1. assign V652659 = V765566 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV183375 = 6;\n\nFrom these direct assignment(s), we have: \nV114074 = V183375 = 6;\nNo other variables can be derived from V114074;\nNo other variables can be derived from V183375;\n\nNow we have done all the calculations. Derived variables are:\nV183375 = 6;\nV114074 = 6;\n\nNow we have finished this problem. ANSWER:\nV183375, V114074\n", "role": "assistant" } ]

[ "V182749" ]

[ { "content": "<context>\nassign V566519 = V730249 + 1. assign V641794 = V730249 - 1. assign V239559 = V498865. assign V487646 = V156580 + 1. assign V341708 = V952752 + 1. assign V270656 = V963095 + 1. assign V151437 = V566519 + 1. assign V021663 = V641794 - 1. assign V651880 = V641794. assign V562081 = V729010. assign V541936 = V410007 + 1. assign V869684 = V566519. assign V031945 = V926535 - 1. assign V251425 = V963095 - 1. assign V695389 = V463022. assign V479129 = V117038 - 1. assign V195011 = V681483. assign V387157 = V730249. assign V730249 = V463022. assign V941800 = V784833. assign V507989 = V784833. assign V615960 = V666843. assign V103882 = V498865. assign V896493 = V341708. assign V463022 = V410007. assign V513035 = V387157 - 1. assign V498865 = V784833. assign V262220 = V317906 - 1. assign V047117 = V730249 + 1. assign V446411 = V498865. assign V930396 = V566519 - 1. assign V033840 = V543275 - 1. assign V156580 = V608996 - 1. assign V952752 = V916128 - 1. assign V502277 = V916128. assign V506270 = V784833 + 1. assign V087328 = V926535 - 1. assign V182749 = 6. assign V818906 = V666843 + 1. assign V117038 = V641455 - 1. assign V839619 = V506270 + 1. assign V316424 = V938644 - 1. assign V994020 = V866203 - 1. assign V598268 = V616908 - 1. assign V707763 = V502277 - 1. assign V065495 = V047117 - 1. assign V681483 = V410007. assign V317906 = V410007 + 1. assign V185166 = V195011. assign V532937 = V498865. assign V219242 = V182749 + 1. assign V354698 = V566519 + 1. assign V916128 = V410007. assign V051521 = V681483 - 1. assign V486126 = V651880 - 1. assign V784833 = V641455 - 1. assign V511204 = V695389. assign V967555 = V818906. assign V782759 = V952752 + 1. assign V518592 = V051521. assign V608996 = V641455 + 1. assign V901883 = V681483 - 1. assign V938644 = V695389 + 1. assign V275715 = V963095 + 1. assign V225574 = V507989 + 1. assign V268495 = V151437. assign V729010 = V195011. assign V220146 = V666843. assign V053112 = V151437 - 1. assign V543275 = V818906 - 1. assign V647118 = V463022 - 1. assign V619219 = V869684 + 1. assign V641455 = V681483. assign V594758 = V220146. assign V029794 = V901883. assign V193969 = V598268. assign V866203 = V156580 + 1. assign V926535 = V952752 + 1. assign V796647 = V963095 - 1. assign V221419 = V615960. assign V666843 = V051521 + 1. assign V963095 = V566519 + 1. assign V772702 = V270656. assign V398300 = V513035 - 1. assign V260210 = V541936 - 1. assign V616908 = V398300 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V566519 = V730249 + 1. assign V641794 = V730249 - 1. assign V239559 = V498865. assign V487646 = V156580 + 1. assign V341708 = V952752 + 1. assign V270656 = V963095 + 1. assign V151437 = V566519 + 1. assign V021663 = V641794 - 1. assign V651880 = V641794. assign V562081 = V729010. assign V541936 = V410007 + 1. assign V869684 = V566519. assign V031945 = V926535 - 1. assign V251425 = V963095 - 1. assign V695389 = V463022. assign V479129 = V117038 - 1. assign V195011 = V681483. assign V387157 = V730249. assign V730249 = V463022. assign V941800 = V784833. assign V507989 = V784833. assign V615960 = V666843. assign V103882 = V498865. assign V896493 = V341708. assign V463022 = V410007. assign V513035 = V387157 - 1. assign V498865 = V784833. assign V262220 = V317906 - 1. assign V047117 = V730249 + 1. assign V446411 = V498865. assign V930396 = V566519 - 1. assign V033840 = V543275 - 1. assign V156580 = V608996 - 1. assign V952752 = V916128 - 1. assign V502277 = V916128. assign V506270 = V784833 + 1. assign V087328 = V926535 - 1. assign V182749 = 6. assign V818906 = V666843 + 1. assign V117038 = V641455 - 1. assign V839619 = V506270 + 1. assign V316424 = V938644 - 1. assign V994020 = V866203 - 1. assign V598268 = V616908 - 1. assign V707763 = V502277 - 1. assign V065495 = V047117 - 1. assign V681483 = V410007. assign V317906 = V410007 + 1. assign V185166 = V195011. assign V532937 = V498865. assign V219242 = V182749 + 1. assign V354698 = V566519 + 1. assign V916128 = V410007. assign V051521 = V681483 - 1. assign V486126 = V651880 - 1. assign V784833 = V641455 - 1. assign V511204 = V695389. assign V967555 = V818906. assign V782759 = V952752 + 1. assign V518592 = V051521. assign V608996 = V641455 + 1. assign V901883 = V681483 - 1. assign V938644 = V695389 + 1. assign V275715 = V963095 + 1. assign V225574 = V507989 + 1. assign V268495 = V151437. assign V729010 = V195011. assign V220146 = V666843. assign V053112 = V151437 - 1. assign V543275 = V818906 - 1. assign V647118 = V463022 - 1. assign V619219 = V869684 + 1. assign V641455 = V681483. assign V594758 = V220146. assign V029794 = V901883. assign V193969 = V598268. assign V866203 = V156580 + 1. assign V926535 = V952752 + 1. assign V796647 = V963095 - 1. assign V221419 = V615960. assign V666843 = V051521 + 1. assign V963095 = V566519 + 1. assign V772702 = V270656. assign V398300 = V513035 - 1. assign V260210 = V541936 - 1. assign V616908 = V398300 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV182749 = 6;\n\nFrom these direct assignment(s), we have: \nV219242 = V182749 + 1 = 6 + 1 =7;\nNo other variables can be derived from V219242;\nNo other variables can be derived from V182749;\n\nNow we have done all the calculations. Derived variables are:\nV182749 = 6;\nV219242 = 7;\n\nNow we have finished this problem. ANSWER:\nV182749\n", "role": "assistant" } ]

[ "V193964" ]

[ { "content": "<context>\nassign V872509 = V180584 - 1. assign V004786 = V198767. assign V335388 = V247455. assign V736453 = V869469 + 1. assign V896599 = V194702 - 1. assign V074722 = V519405 + 1. assign V765434 = V212802. assign V631572 = V194702 - 1. assign V485135 = V180584 - 1. assign V867373 = V433760. assign V301004 = V263824. assign V819901 = V869469. assign V127348 = V519405. assign V035118 = V918153 + 1. assign V278848 = V969589 - 1. assign V273417 = V194702 + 1. assign V835294 = V543674 - 1. assign V265943 = V552177 - 1. assign V301559 = V247455 - 1. assign V159264 = V143520 + 1. assign V519405 = V976092 - 1. assign V198767 = V854571 + 1. assign V846346 = V995757 + 1. assign V233495 = V143520 - 1. assign V328568 = V765434 + 1. assign V615423 = V546592 + 1. assign V660665 = V159264 - 1. assign V632313 = V799970 + 1. assign V420048 = V852453 - 1. assign V763292 = V844594 - 1. assign V095197 = V180584 - 1. assign V543674 = V552177. assign V510937 = V094251 - 1. assign V409156 = V869469 + 1. assign V140133 = V194702 + 1. assign V411407 = V180584 - 1. assign V852453 = V031123. assign V480069 = V552177. assign V844594 = V195524. assign V918153 = V180584 - 1. assign V799970 = V035118. assign V195524 = V546592. assign V180584 = V881453. assign V232292 = V212802 + 1. assign V558650 = V632313. assign V655052 = V918153. assign V322417 = V660665 - 1. assign V837839 = V918153 - 1. assign V051833 = V852453. assign V099918 = V335388 + 1. assign V100096 = V263824 + 1. assign V434955 = V819901. assign V429529 = V976092. assign V172612 = V881453. assign V094251 = V198767 + 1. assign V193964 = V991545 + 1. assign V352593 = V466470 + 1. assign V869469 = V583105 + 1. assign V995757 = V976092 + 1. assign V854571 = V031123 + 1. assign V247455 = V095197 + 1. assign V433760 = V995757 - 1. assign V552177 = V872509 - 1. assign V701874 = V848633. assign V708625 = V352593. assign V848633 = V127348 - 1. assign V515770 = V099918. assign V031123 = V546592 - 1. assign V188318 = V335388 + 1. assign V143520 = V263824. assign V881453 = V583105 - 1. assign V777493 = V835294 - 1. assign V194702 = V918153. assign V120641 = V095197 + 1. assign V263824 = V031123 - 1. assign V969589 = V869469 - 1. assign V991545 = 8. assign V976092 = V546592. assign V212802 = V546592 + 1. assign V641857 = V519405. assign V546592 = V583105 - 1. assign V548683 = V212802 - 1. assign V410326 = V548683. assign V343351 = V571472 - 1. assign V571472 = V583105 + 1. assign V466470 = V411407 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V872509 = V180584 - 1. assign V004786 = V198767. assign V335388 = V247455. assign V736453 = V869469 + 1. assign V896599 = V194702 - 1. assign V074722 = V519405 + 1. assign V765434 = V212802. assign V631572 = V194702 - 1. assign V485135 = V180584 - 1. assign V867373 = V433760. assign V301004 = V263824. assign V819901 = V869469. assign V127348 = V519405. assign V035118 = V918153 + 1. assign V278848 = V969589 - 1. assign V273417 = V194702 + 1. assign V835294 = V543674 - 1. assign V265943 = V552177 - 1. assign V301559 = V247455 - 1. assign V159264 = V143520 + 1. assign V519405 = V976092 - 1. assign V198767 = V854571 + 1. assign V846346 = V995757 + 1. assign V233495 = V143520 - 1. assign V328568 = V765434 + 1. assign V615423 = V546592 + 1. assign V660665 = V159264 - 1. assign V632313 = V799970 + 1. assign V420048 = V852453 - 1. assign V763292 = V844594 - 1. assign V095197 = V180584 - 1. assign V543674 = V552177. assign V510937 = V094251 - 1. assign V409156 = V869469 + 1. assign V140133 = V194702 + 1. assign V411407 = V180584 - 1. assign V852453 = V031123. assign V480069 = V552177. assign V844594 = V195524. assign V918153 = V180584 - 1. assign V799970 = V035118. assign V195524 = V546592. assign V180584 = V881453. assign V232292 = V212802 + 1. assign V558650 = V632313. assign V655052 = V918153. assign V322417 = V660665 - 1. assign V837839 = V918153 - 1. assign V051833 = V852453. assign V099918 = V335388 + 1. assign V100096 = V263824 + 1. assign V434955 = V819901. assign V429529 = V976092. assign V172612 = V881453. assign V094251 = V198767 + 1. assign V193964 = V991545 + 1. assign V352593 = V466470 + 1. assign V869469 = V583105 + 1. assign V995757 = V976092 + 1. assign V854571 = V031123 + 1. assign V247455 = V095197 + 1. assign V433760 = V995757 - 1. assign V552177 = V872509 - 1. assign V701874 = V848633. assign V708625 = V352593. assign V848633 = V127348 - 1. assign V515770 = V099918. assign V031123 = V546592 - 1. assign V188318 = V335388 + 1. assign V143520 = V263824. assign V881453 = V583105 - 1. assign V777493 = V835294 - 1. assign V194702 = V918153. assign V120641 = V095197 + 1. assign V263824 = V031123 - 1. assign V969589 = V869469 - 1. assign V991545 = 8. assign V976092 = V546592. assign V212802 = V546592 + 1. assign V641857 = V519405. assign V546592 = V583105 - 1. assign V548683 = V212802 - 1. assign V410326 = V548683. assign V343351 = V571472 - 1. assign V571472 = V583105 + 1. assign V466470 = V411407 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV991545 = 8;\n\nFrom these direct assignment(s), we have: \nV193964 = V991545 + 1 = 8 + 1 =9;\nNo other variables can be derived from V193964;\nNo other variables can be derived from V991545;\n\nNow we have done all the calculations. Derived variables are:\nV991545 = 8;\nV193964 = 9;\n\nNow we have finished this problem. ANSWER:\nV193964\n", "role": "assistant" } ]

[ "V349643" ]

[ { "content": "<context>\nassign V488867 = V669808. assign V395375 = V351506. assign V300205 = V151519. assign V677803 = V863988 - 1. assign V731134 = V214211 - 1. assign V652749 = V297017 + 1. assign V606625 = V719980. assign V674640 = V996458. assign V689120 = V169491. assign V122467 = V151519 - 1. assign V169491 = V603870 - 1. assign V653395 = V077295. assign V996458 = V297017 - 1. assign V863988 = V163023 + 1. assign V717925 = V163023 - 1. assign V328448 = V192413 + 1. assign V615901 = V622730 + 1. assign V258026 = V890733. assign V228515 = V616005 + 1. assign V774524 = V192413 - 1. assign V669808 = V606625 + 1. assign V292299 = V890733 + 1. assign V600569 = V135282. assign V040138 = V088986 - 1. assign V349643 = 7. assign V187437 = V349643 - 1. assign V707703 = V700324 + 1. assign V618280 = V863988. assign V135282 = V192413 + 1. assign V289481 = V731134 - 1. assign V700324 = V810416 - 1. assign V565417 = V774524 + 1. assign V163443 = V638462 - 1. assign V420578 = V305506 - 1. assign V571006 = V565417. assign V376352 = V890733. assign V251476 = V395375. assign V163023 = V606625 + 1. assign V000917 = V602391 - 1. assign V307840 = V316669 + 1. assign V316669 = V618280 + 1. assign V180818 = V163023 - 1. assign V844665 = V654384 + 1. assign V151519 = V157033. assign V511390 = V529563. assign V192413 = V707703 - 1. assign V351506 = V890733. assign V098247 = V192413 + 1. assign V933092 = V603870 + 1. assign V568134 = V719980. assign V134295 = V488867. assign V616005 = V292299 - 1. assign V603870 = V719980 + 1. assign V297017 = V169491. assign V077295 = V810416 + 1. assign V875840 = V700324 - 1. assign V214211 = V774524. assign V691773 = V326152 + 1. assign V602391 = V214211 + 1. assign V545876 = V689120 - 1. assign V326152 = V606625. assign V781457 = V603870 + 1. assign V384177 = V717925 - 1. assign V157033 = V810416. assign V884391 = V622730 + 1. assign V248973 = V669808 - 1. assign V885836 = V669808. assign V529563 = V328448 + 1. assign V366153 = V606625 - 1. assign V890733 = V700324 + 1. assign V066442 = V565417. assign V625021 = V376352 + 1. assign V538579 = V248973 - 1. assign V305506 = V326152. assign V638462 = V606625. assign V719980 = V810416 - 1. assign V270342 = V221332. assign V589355 = V731134 + 1. assign V168598 = V625021 - 1. assign V535546 = V258026 + 1. assign V088986 = V328448 + 1. assign V221332 = V885836 + 1. assign V613172 = V707703 + 1. assign V868757 = V589355 - 1. assign V654384 = V258026 - 1. assign V622730 = V863988 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V488867 = V669808. assign V395375 = V351506. assign V300205 = V151519. assign V677803 = V863988 - 1. assign V731134 = V214211 - 1. assign V652749 = V297017 + 1. assign V606625 = V719980. assign V674640 = V996458. assign V689120 = V169491. assign V122467 = V151519 - 1. assign V169491 = V603870 - 1. assign V653395 = V077295. assign V996458 = V297017 - 1. assign V863988 = V163023 + 1. assign V717925 = V163023 - 1. assign V328448 = V192413 + 1. assign V615901 = V622730 + 1. assign V258026 = V890733. assign V228515 = V616005 + 1. assign V774524 = V192413 - 1. assign V669808 = V606625 + 1. assign V292299 = V890733 + 1. assign V600569 = V135282. assign V040138 = V088986 - 1. assign V349643 = 7. assign V187437 = V349643 - 1. assign V707703 = V700324 + 1. assign V618280 = V863988. assign V135282 = V192413 + 1. assign V289481 = V731134 - 1. assign V700324 = V810416 - 1. assign V565417 = V774524 + 1. assign V163443 = V638462 - 1. assign V420578 = V305506 - 1. assign V571006 = V565417. assign V376352 = V890733. assign V251476 = V395375. assign V163023 = V606625 + 1. assign V000917 = V602391 - 1. assign V307840 = V316669 + 1. assign V316669 = V618280 + 1. assign V180818 = V163023 - 1. assign V844665 = V654384 + 1. assign V151519 = V157033. assign V511390 = V529563. assign V192413 = V707703 - 1. assign V351506 = V890733. assign V098247 = V192413 + 1. assign V933092 = V603870 + 1. assign V568134 = V719980. assign V134295 = V488867. assign V616005 = V292299 - 1. assign V603870 = V719980 + 1. assign V297017 = V169491. assign V077295 = V810416 + 1. assign V875840 = V700324 - 1. assign V214211 = V774524. assign V691773 = V326152 + 1. assign V602391 = V214211 + 1. assign V545876 = V689120 - 1. assign V326152 = V606625. assign V781457 = V603870 + 1. assign V384177 = V717925 - 1. assign V157033 = V810416. assign V884391 = V622730 + 1. assign V248973 = V669808 - 1. assign V885836 = V669808. assign V529563 = V328448 + 1. assign V366153 = V606625 - 1. assign V890733 = V700324 + 1. assign V066442 = V565417. assign V625021 = V376352 + 1. assign V538579 = V248973 - 1. assign V305506 = V326152. assign V638462 = V606625. assign V719980 = V810416 - 1. assign V270342 = V221332. assign V589355 = V731134 + 1. assign V168598 = V625021 - 1. assign V535546 = V258026 + 1. assign V088986 = V328448 + 1. assign V221332 = V885836 + 1. assign V613172 = V707703 + 1. assign V868757 = V589355 - 1. assign V654384 = V258026 - 1. assign V622730 = V863988 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV349643 = 7;\n\nFrom these direct assignment(s), we have: \nV187437 = V349643 - 1 = 7 - 1 =6;\nNo other variables can be derived from V187437;\nNo other variables can be derived from V349643;\n\nNow we have done all the calculations. Derived variables are:\nV349643 = 7;\nV187437 = 6;\n\nNow we have finished this problem. ANSWER:\nV349643\n", "role": "assistant" } ]

[ "V355106", "V076649" ]

[ { "content": "<context>\nassign V967565 = V926292 + 1. assign V611445 = V403607 + 1. assign V162709 = V177708. assign V553769 = V149830. assign V643719 = V736117 - 1. assign V601446 = V048487 + 1. assign V002142 = V087406. assign V715349 = V706206. assign V610683 = V967565 + 1. assign V490715 = V617250 + 1. assign V076649 = V355106. assign V165222 = V926292 + 1. assign V229635 = V534308 + 1. assign V230235 = V334502 + 1. assign V261967 = V151241. assign V389295 = V801154 - 1. assign V177708 = V926292. assign V706206 = V125459 - 1. assign V170144 = V876539. assign V617250 = V736117 + 1. assign V698081 = V391894 + 1. assign V986820 = V729929 + 1. assign V912435 = V938209 - 1. assign V149830 = V729929. assign V675612 = V736117 - 1. assign V868761 = V926292 - 1. assign V444211 = V868761 - 1. assign V403969 = V553769 - 1. assign V521944 = V391894 - 1. assign V048487 = V736117 - 1. assign V534677 = V454742 - 1. assign V006963 = V687039. assign V045177 = V151241. assign V687039 = V912435 - 1. assign V058437 = V611445. assign V316856 = V729929. assign V774862 = V166812 - 1. assign V151241 = V926292 + 1. assign V906187 = V967565 + 1. assign V403607 = V177708. assign V911098 = V644963 - 1. assign V644963 = V230235 + 1. assign V370464 = V177708. assign V125459 = V177708 - 1. assign V981819 = V938209 + 1. assign V765375 = V868761 - 1. assign V130864 = V774862 - 1. assign V729929 = V926292 + 1. assign V534308 = V403607. assign V471159 = V149830 - 1. assign V123662 = V389295. assign V334502 = V736117. assign V169039 = V967565 - 1. assign V167410 = V994801. assign V366187 = V521944 + 1. assign V454742 = V981819 - 1. assign V255998 = V938209. assign V938209 = V370464 - 1. assign V639823 = V729929. assign V587419 = V643719 - 1. assign V390264 = V639823 - 1. assign V906610 = V938209 + 1. assign V330088 = V801154. assign V978498 = V006963. assign V876539 = V165222. assign V386308 = V230235. assign V687108 = V912435 - 1. assign V101667 = V534677. assign V374679 = V593839 - 1. assign V558953 = V255998 - 1. assign V593839 = V454742 - 1. assign V166812 = V123662 - 1. assign V087406 = V994801 - 1. assign V801154 = V967565 + 1. assign V121407 = V166812 - 1. assign V793042 = V255998. assign V407467 = V698081 - 1. assign V559478 = V643719. assign V441502 = V403969 - 1. assign V391894 = V165222. assign V355106 = 2. assign V736117 = V926292 + 1. assign V915762 = V261967 + 1. assign V164427 = V593839 - 1. assign V003566 = V793042 - 1. assign V994801 = V729929.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V967565 = V926292 + 1. assign V611445 = V403607 + 1. assign V162709 = V177708. assign V553769 = V149830. assign V643719 = V736117 - 1. assign V601446 = V048487 + 1. assign V002142 = V087406. assign V715349 = V706206. assign V610683 = V967565 + 1. assign V490715 = V617250 + 1. assign V076649 = V355106. assign V165222 = V926292 + 1. assign V229635 = V534308 + 1. assign V230235 = V334502 + 1. assign V261967 = V151241. assign V389295 = V801154 - 1. assign V177708 = V926292. assign V706206 = V125459 - 1. assign V170144 = V876539. assign V617250 = V736117 + 1. assign V698081 = V391894 + 1. assign V986820 = V729929 + 1. assign V912435 = V938209 - 1. assign V149830 = V729929. assign V675612 = V736117 - 1. assign V868761 = V926292 - 1. assign V444211 = V868761 - 1. assign V403969 = V553769 - 1. assign V521944 = V391894 - 1. assign V048487 = V736117 - 1. assign V534677 = V454742 - 1. assign V006963 = V687039. assign V045177 = V151241. assign V687039 = V912435 - 1. assign V058437 = V611445. assign V316856 = V729929. assign V774862 = V166812 - 1. assign V151241 = V926292 + 1. assign V906187 = V967565 + 1. assign V403607 = V177708. assign V911098 = V644963 - 1. assign V644963 = V230235 + 1. assign V370464 = V177708. assign V125459 = V177708 - 1. assign V981819 = V938209 + 1. assign V765375 = V868761 - 1. assign V130864 = V774862 - 1. assign V729929 = V926292 + 1. assign V534308 = V403607. assign V471159 = V149830 - 1. assign V123662 = V389295. assign V334502 = V736117. assign V169039 = V967565 - 1. assign V167410 = V994801. assign V366187 = V521944 + 1. assign V454742 = V981819 - 1. assign V255998 = V938209. assign V938209 = V370464 - 1. assign V639823 = V729929. assign V587419 = V643719 - 1. assign V390264 = V639823 - 1. assign V906610 = V938209 + 1. assign V330088 = V801154. assign V978498 = V006963. assign V876539 = V165222. assign V386308 = V230235. assign V687108 = V912435 - 1. assign V101667 = V534677. assign V374679 = V593839 - 1. assign V558953 = V255998 - 1. assign V593839 = V454742 - 1. assign V166812 = V123662 - 1. assign V087406 = V994801 - 1. assign V801154 = V967565 + 1. assign V121407 = V166812 - 1. assign V793042 = V255998. assign V407467 = V698081 - 1. assign V559478 = V643719. assign V441502 = V403969 - 1. assign V391894 = V165222. assign V355106 = 2. assign V736117 = V926292 + 1. assign V915762 = V261967 + 1. assign V164427 = V593839 - 1. assign V003566 = V793042 - 1. assign V994801 = V729929.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV355106 = 2;\n\nFrom these direct assignment(s), we have: \nV076649 = V355106 = 2;\nNo other variables can be derived from V076649;\nNo other variables can be derived from V355106;\n\nNow we have done all the calculations. Derived variables are:\nV355106 = 2;\nV076649 = 2;\n\nNow we have finished this problem. ANSWER:\nV355106, V076649\n", "role": "assistant" } ]

[ "V801148" ]

[ { "content": "<context>\nassign V170226 = V107189 - 1. assign V929683 = V607432 + 1. assign V376067 = V589710 + 1. assign V022336 = V552671. assign V491391 = V566449 + 1. assign V533986 = V376067 - 1. assign V645784 = V537821. assign V014276 = V645784 - 1. assign V674883 = V924620 + 1. assign V181046 = V274233. assign V607432 = V495791 - 1. assign V735191 = V495791. assign V139945 = V929683 + 1. assign V801148 = V445175 + 1. assign V699172 = V674883 + 1. assign V970941 = V221857 - 1. assign V852276 = V724114 + 1. assign V332753 = V289399 + 1. assign V013562 = V266607. assign V728710 = V043081. assign V627244 = V566449. assign V463571 = V013562. assign V724114 = V495791 + 1. assign V964952 = V922904 - 1. assign V566449 = V724114. assign V445175 = 9. assign V107189 = V566449 - 1. assign V922904 = V463571. assign V289399 = V376067 - 1. assign V033787 = V645784 - 1. assign V884471 = V332529 + 1. assign V648800 = V463571 + 1. assign V097222 = V876903 - 1. assign V416187 = V227983 - 1. assign V959462 = V013562. assign V193453 = V537821. assign V296563 = V922904 + 1. assign V773238 = V022336. assign V249249 = V363543. assign V854404 = V395990. assign V503584 = V112793 - 1. assign V876903 = V645784 + 1. assign V079008 = V706065 - 1. assign V038591 = V566449. assign V023593 = V363175. assign V043081 = V706065. assign V359746 = V959462 + 1. assign V164117 = V491391. assign V197752 = V266607 + 1. assign V552671 = V266607. assign V589710 = V537821. assign V320102 = V552671. assign V074040 = V023593 - 1. assign V132241 = V320102 - 1. assign V348731 = V852276 + 1. assign V395990 = V876903 - 1. assign V931707 = V112793. assign V924620 = V197752 - 1. assign V221857 = V266607. assign V266607 = V274233 - 1. assign V112793 = V552671. assign V633261 = V097222 - 1. assign V227983 = V674883. assign V332529 = V552671 + 1. assign V454828 = V395990 - 1. assign V949862 = V724114 - 1. assign V537821 = V181046 - 1. assign V824830 = V079008 - 1. assign V668934 = V074040 - 1. assign V340965 = V033787 + 1. assign V680871 = V221857 - 1. assign V416349 = V724114. assign V363543 = V097222 + 1. assign V611580 = V107189. assign V521006 = V724114. assign V881300 = V296563 - 1. assign V706065 = V013562. assign V905890 = V033787. assign V630655 = V648800. assign V363175 = V463571 + 1. assign V160536 = V332529 - 1. assign V369824 = V611580 + 1. assign V474329 = V648800 + 1. assign V495791 = V924620 - 1. assign V913053 = V728710 - 1. assign V872399 = V416187 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V170226 = V107189 - 1. assign V929683 = V607432 + 1. assign V376067 = V589710 + 1. assign V022336 = V552671. assign V491391 = V566449 + 1. assign V533986 = V376067 - 1. assign V645784 = V537821. assign V014276 = V645784 - 1. assign V674883 = V924620 + 1. assign V181046 = V274233. assign V607432 = V495791 - 1. assign V735191 = V495791. assign V139945 = V929683 + 1. assign V801148 = V445175 + 1. assign V699172 = V674883 + 1. assign V970941 = V221857 - 1. assign V852276 = V724114 + 1. assign V332753 = V289399 + 1. assign V013562 = V266607. assign V728710 = V043081. assign V627244 = V566449. assign V463571 = V013562. assign V724114 = V495791 + 1. assign V964952 = V922904 - 1. assign V566449 = V724114. assign V445175 = 9. assign V107189 = V566449 - 1. assign V922904 = V463571. assign V289399 = V376067 - 1. assign V033787 = V645784 - 1. assign V884471 = V332529 + 1. assign V648800 = V463571 + 1. assign V097222 = V876903 - 1. assign V416187 = V227983 - 1. assign V959462 = V013562. assign V193453 = V537821. assign V296563 = V922904 + 1. assign V773238 = V022336. assign V249249 = V363543. assign V854404 = V395990. assign V503584 = V112793 - 1. assign V876903 = V645784 + 1. assign V079008 = V706065 - 1. assign V038591 = V566449. assign V023593 = V363175. assign V043081 = V706065. assign V359746 = V959462 + 1. assign V164117 = V491391. assign V197752 = V266607 + 1. assign V552671 = V266607. assign V589710 = V537821. assign V320102 = V552671. assign V074040 = V023593 - 1. assign V132241 = V320102 - 1. assign V348731 = V852276 + 1. assign V395990 = V876903 - 1. assign V931707 = V112793. assign V924620 = V197752 - 1. assign V221857 = V266607. assign V266607 = V274233 - 1. assign V112793 = V552671. assign V633261 = V097222 - 1. assign V227983 = V674883. assign V332529 = V552671 + 1. assign V454828 = V395990 - 1. assign V949862 = V724114 - 1. assign V537821 = V181046 - 1. assign V824830 = V079008 - 1. assign V668934 = V074040 - 1. assign V340965 = V033787 + 1. assign V680871 = V221857 - 1. assign V416349 = V724114. assign V363543 = V097222 + 1. assign V611580 = V107189. assign V521006 = V724114. assign V881300 = V296563 - 1. assign V706065 = V013562. assign V905890 = V033787. assign V630655 = V648800. assign V363175 = V463571 + 1. assign V160536 = V332529 - 1. assign V369824 = V611580 + 1. assign V474329 = V648800 + 1. assign V495791 = V924620 - 1. assign V913053 = V728710 - 1. assign V872399 = V416187 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV445175 = 9;\n\nFrom these direct assignment(s), we have: \nV801148 = V445175 + 1 = 9 + 1 =10;\nNo other variables can be derived from V801148;\nNo other variables can be derived from V445175;\n\nNow we have done all the calculations. Derived variables are:\nV445175 = 9;\nV801148 = 10;\n\nNow we have finished this problem. ANSWER:\nV801148\n", "role": "assistant" } ]

[ "V696646" ]

[ { "content": "<context>\nassign V351259 = V253677. assign V879586 = V520321 + 1. assign V598368 = V081659. assign V367663 = V634963. assign V307593 = V726345. assign V638064 = V333426 + 1. assign V333426 = V518517 - 1. assign V869441 = V713068. assign V726002 = V255020. assign V339063 = V634963 + 1. assign V543599 = V353634. assign V388490 = V205138. assign V167405 = V274764 + 1. assign V396074 = V518517. assign V326419 = V007016. assign V753594 = V606850 - 1. assign V917898 = V395178. assign V726345 = V152227 - 1. assign V575110 = V606850 - 1. assign V989528 = V879586 + 1. assign V730799 = V336362. assign V274764 = V815886 + 1. assign V640449 = V339063 + 1. assign V168607 = V333426 + 1. assign V137895 = V869873 - 1. assign V023206 = V595920 + 1. assign V369235 = V336362 - 1. assign V760194 = V638064 - 1. assign V554905 = V168607. assign V205138 = V353634 - 1. assign V051896 = V333426. assign V081659 = V023206. assign V897584 = V023206. assign V938427 = V744169 + 1. assign V788001 = V396074 + 1. assign V911219 = V369235 + 1. assign V023979 = V396074. assign V674326 = V815886. assign V955941 = V731614 + 1. assign V395178 = V869441 - 1. assign V738926 = V168607. assign V448829 = V037669 - 1. assign V140152 = V726002. assign V152227 = V336362 - 1. assign V246312 = V395178 - 1. assign V744169 = V051896. assign V606850 = V150298. assign V754308 = V023206 - 1. assign V713068 = V792012 + 1. assign V361200 = V879586 - 1. assign V132338 = V713068 - 1. assign V157306 = V367663 - 1. assign V255020 = V081659 - 1. assign V952510 = V897584 + 1. assign V353634 = V333426. assign V914039 = V518517 - 1. assign V077508 = V788001 - 1. assign V275059 = V879586 + 1. assign V714616 = V525030 + 1. assign V453304 = V696646 + 1. assign V525030 = V152227. assign V792012 = V634963. assign V398775 = V879586 + 1. assign V815886 = V007016. assign V007016 = V353634 - 1. assign V773184 = V518517 + 1. assign V869873 = V744169 + 1. assign V748782 = V911219 + 1. assign V644789 = V744169 - 1. assign V037669 = V150298 + 1. assign V731614 = V152227 + 1. assign V735297 = V744169 + 1. assign V707882 = V007016. assign V696646 = 10. assign V222680 = V118845 - 1. assign V595920 = V518517 - 1. assign V091945 = V520321 + 1. assign V520321 = V333426. assign V150298 = V081659 + 1. assign V966140 = V140152 - 1. assign V253677 = V644789 + 1. assign V011248 = V275059 - 1. assign V118845 = V879586 - 1. assign V336362 = V744169 + 1. assign V634963 = V023979. assign V179840 = V388490 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V351259 = V253677. assign V879586 = V520321 + 1. assign V598368 = V081659. assign V367663 = V634963. assign V307593 = V726345. assign V638064 = V333426 + 1. assign V333426 = V518517 - 1. assign V869441 = V713068. assign V726002 = V255020. assign V339063 = V634963 + 1. assign V543599 = V353634. assign V388490 = V205138. assign V167405 = V274764 + 1. assign V396074 = V518517. assign V326419 = V007016. assign V753594 = V606850 - 1. assign V917898 = V395178. assign V726345 = V152227 - 1. assign V575110 = V606850 - 1. assign V989528 = V879586 + 1. assign V730799 = V336362. assign V274764 = V815886 + 1. assign V640449 = V339063 + 1. assign V168607 = V333426 + 1. assign V137895 = V869873 - 1. assign V023206 = V595920 + 1. assign V369235 = V336362 - 1. assign V760194 = V638064 - 1. assign V554905 = V168607. assign V205138 = V353634 - 1. assign V051896 = V333426. assign V081659 = V023206. assign V897584 = V023206. assign V938427 = V744169 + 1. assign V788001 = V396074 + 1. assign V911219 = V369235 + 1. assign V023979 = V396074. assign V674326 = V815886. assign V955941 = V731614 + 1. assign V395178 = V869441 - 1. assign V738926 = V168607. assign V448829 = V037669 - 1. assign V140152 = V726002. assign V152227 = V336362 - 1. assign V246312 = V395178 - 1. assign V744169 = V051896. assign V606850 = V150298. assign V754308 = V023206 - 1. assign V713068 = V792012 + 1. assign V361200 = V879586 - 1. assign V132338 = V713068 - 1. assign V157306 = V367663 - 1. assign V255020 = V081659 - 1. assign V952510 = V897584 + 1. assign V353634 = V333426. assign V914039 = V518517 - 1. assign V077508 = V788001 - 1. assign V275059 = V879586 + 1. assign V714616 = V525030 + 1. assign V453304 = V696646 + 1. assign V525030 = V152227. assign V792012 = V634963. assign V398775 = V879586 + 1. assign V815886 = V007016. assign V007016 = V353634 - 1. assign V773184 = V518517 + 1. assign V869873 = V744169 + 1. assign V748782 = V911219 + 1. assign V644789 = V744169 - 1. assign V037669 = V150298 + 1. assign V731614 = V152227 + 1. assign V735297 = V744169 + 1. assign V707882 = V007016. assign V696646 = 10. assign V222680 = V118845 - 1. assign V595920 = V518517 - 1. assign V091945 = V520321 + 1. assign V520321 = V333426. assign V150298 = V081659 + 1. assign V966140 = V140152 - 1. assign V253677 = V644789 + 1. assign V011248 = V275059 - 1. assign V118845 = V879586 - 1. assign V336362 = V744169 + 1. assign V634963 = V023979. assign V179840 = V388490 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV696646 = 10;\n\nFrom these direct assignment(s), we have: \nV453304 = V696646 + 1 = 10 + 1 =11;\nNo other variables can be derived from V453304;\nNo other variables can be derived from V696646;\n\nNow we have done all the calculations. Derived variables are:\nV696646 = 10;\nV453304 = 11;\n\nNow we have finished this problem. ANSWER:\nV696646\n", "role": "assistant" } ]

[ "V014115" ]

[ { "content": "<context>\nassign V014115 = V226076 - 1. assign V973990 = V195558 - 1. assign V395943 = V154967 + 1. assign V172539 = V373929 - 1. assign V169780 = V373514 + 1. assign V517929 = V198163 - 1. assign V459199 = V546920. assign V417050 = V931305. assign V575527 = V040644. assign V546920 = V765790 + 1. assign V295529 = V765790. assign V569945 = V653534 + 1. assign V565983 = V926970 + 1. assign V765790 = V351880 - 1. assign V299367 = V373929 - 1. assign V167119 = V575527 + 1. assign V692910 = V351880 - 1. assign V965680 = V750911. assign V931305 = V731024 + 1. assign V460352 = V803894 - 1. assign V481062 = V195558 + 1. assign V750911 = V172539. assign V261431 = V575527 - 1. assign V080224 = V169780 + 1. assign V565838 = V040644 + 1. assign V590558 = V931305. assign V195558 = V373929. assign V337003 = V299367. assign V473643 = V565983. assign V266870 = V373929 + 1. assign V653534 = V565838 + 1. assign V150640 = V538933. assign V779911 = V211503 - 1. assign V538933 = V337003. assign V403459 = V617956 - 1. assign V609184 = V348620. assign V609063 = V395943. assign V211503 = V395943 + 1. assign V115248 = V926970 + 1. assign V960621 = V040644. assign V154967 = V765790 + 1. assign V927448 = V622355. assign V351880 = V373929 + 1. assign V866218 = V348620. assign V327305 = V172539. assign V985052 = V004397 - 1. assign V527728 = V590558 - 1. assign V049094 = V169780 - 1. assign V570733 = V172539 + 1. assign V687082 = V459199. assign V373514 = V172539. assign V948942 = V299367 - 1. assign V846211 = V617956 + 1. assign V443075 = V473643. assign V441332 = V565838 + 1. assign V231995 = V926970 + 1. assign V226076 = 3. assign V434336 = V653534 + 1. assign V198163 = V373929 - 1. assign V247524 = V846211. assign V232640 = V261431. assign V972095 = V040644 + 1. assign V803894 = V546920 + 1. assign V926970 = V960621. assign V949137 = V211503 + 1. assign V172162 = V948942 + 1. assign V261240 = V373514. assign V328833 = V441332 + 1. assign V373929 = V040644. assign V731024 = V004397 + 1. assign V161334 = V373929. assign V795927 = V004397 + 1. assign V909508 = V622355 + 1. assign V348620 = V449946 - 1. assign V004397 = V750911. assign V622355 = V169780 - 1. assign V319480 = V161334 + 1. assign V256381 = V575527 + 1. assign V679165 = V546920. assign V001623 = V846211. assign V617956 = V565838 - 1. assign V596602 = V195558. assign V449946 = V198163 - 1. assign V190354 = V795927. assign V891380 = V231995 - 1. assign V652150 = V622355 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V014115 = V226076 - 1. assign V973990 = V195558 - 1. assign V395943 = V154967 + 1. assign V172539 = V373929 - 1. assign V169780 = V373514 + 1. assign V517929 = V198163 - 1. assign V459199 = V546920. assign V417050 = V931305. assign V575527 = V040644. assign V546920 = V765790 + 1. assign V295529 = V765790. assign V569945 = V653534 + 1. assign V565983 = V926970 + 1. assign V765790 = V351880 - 1. assign V299367 = V373929 - 1. assign V167119 = V575527 + 1. assign V692910 = V351880 - 1. assign V965680 = V750911. assign V931305 = V731024 + 1. assign V460352 = V803894 - 1. assign V481062 = V195558 + 1. assign V750911 = V172539. assign V261431 = V575527 - 1. assign V080224 = V169780 + 1. assign V565838 = V040644 + 1. assign V590558 = V931305. assign V195558 = V373929. assign V337003 = V299367. assign V473643 = V565983. assign V266870 = V373929 + 1. assign V653534 = V565838 + 1. assign V150640 = V538933. assign V779911 = V211503 - 1. assign V538933 = V337003. assign V403459 = V617956 - 1. assign V609184 = V348620. assign V609063 = V395943. assign V211503 = V395943 + 1. assign V115248 = V926970 + 1. assign V960621 = V040644. assign V154967 = V765790 + 1. assign V927448 = V622355. assign V351880 = V373929 + 1. assign V866218 = V348620. assign V327305 = V172539. assign V985052 = V004397 - 1. assign V527728 = V590558 - 1. assign V049094 = V169780 - 1. assign V570733 = V172539 + 1. assign V687082 = V459199. assign V373514 = V172539. assign V948942 = V299367 - 1. assign V846211 = V617956 + 1. assign V443075 = V473643. assign V441332 = V565838 + 1. assign V231995 = V926970 + 1. assign V226076 = 3. assign V434336 = V653534 + 1. assign V198163 = V373929 - 1. assign V247524 = V846211. assign V232640 = V261431. assign V972095 = V040644 + 1. assign V803894 = V546920 + 1. assign V926970 = V960621. assign V949137 = V211503 + 1. assign V172162 = V948942 + 1. assign V261240 = V373514. assign V328833 = V441332 + 1. assign V373929 = V040644. assign V731024 = V004397 + 1. assign V161334 = V373929. assign V795927 = V004397 + 1. assign V909508 = V622355 + 1. assign V348620 = V449946 - 1. assign V004397 = V750911. assign V622355 = V169780 - 1. assign V319480 = V161334 + 1. assign V256381 = V575527 + 1. assign V679165 = V546920. assign V001623 = V846211. assign V617956 = V565838 - 1. assign V596602 = V195558. assign V449946 = V198163 - 1. assign V190354 = V795927. assign V891380 = V231995 - 1. assign V652150 = V622355 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV226076 = 3;\n\nFrom these direct assignment(s), we have: \nV014115 = V226076 - 1 = 3 - 1 =2;\nNo other variables can be derived from V014115;\nNo other variables can be derived from V226076;\n\nNow we have done all the calculations. Derived variables are:\nV226076 = 3;\nV014115 = 2;\n\nNow we have finished this problem. ANSWER:\nV014115\n", "role": "assistant" } ]

[ "V482296" ]

[ { "content": "<context>\nassign V618272 = V598167. assign V209219 = V608547 + 1. assign V459093 = V482296 - 1. assign V917556 = V684698 - 1. assign V449926 = V112966 + 1. assign V247242 = V264225 - 1. assign V980329 = V612977 - 1. assign V597048 = V155197. assign V698349 = V744214 - 1. assign V492873 = V139056. assign V720197 = V139015 + 1. assign V612977 = V510389 + 1. assign V830171 = V449059 + 1. assign V004884 = V112966. assign V097186 = V089318. assign V608547 = V449926 + 1. assign V149441 = V116075. assign V442900 = V139056. assign V252054 = V744214. assign V032552 = V203273. assign V948624 = V878838 - 1. assign V170773 = V575672 - 1. assign V803707 = V908655. assign V789891 = V139056. assign V127397 = V449059. assign V575672 = V139015 + 1. assign V642936 = V139015. assign V482296 = 1. assign V495016 = V170773. assign V685365 = V139015. assign V418209 = V032552 - 1. assign V139056 = V887905 - 1. assign V290268 = V598167 + 1. assign V720479 = V510389. assign V203273 = V449059 + 1. assign V166307 = V264225. assign V908655 = V720197 + 1. assign V864398 = V032552 + 1. assign V173356 = V094378. assign V438482 = V642936. assign V280225 = V116075. assign V744214 = V684698. assign V327959 = V575672 + 1. assign V512835 = V777303 - 1. assign V886916 = V864398 + 1. assign V967066 = V864398 + 1. assign V598167 = V155197 + 1. assign V201643 = V688833 - 1. assign V220161 = V149441 + 1. assign V772399 = V264225 + 1. assign V753037 = V139056. assign V139015 = V112966. assign V495363 = V139015 - 1. assign V116075 = V155197. assign V089318 = V966099 + 1. assign V688833 = V777303. assign V155197 = V203273 - 1. assign V686785 = V130430 + 1. assign V282369 = V966099. assign V683931 = V139056. assign V449059 = V887905 - 1. assign V354564 = V155197 - 1. assign V094378 = V139015 - 1. assign V521832 = V112966 - 1. assign V112966 = V449059 - 1. assign V777303 = V744214. assign V966099 = V203273 - 1. assign V684698 = V112966 + 1. assign V916897 = V597048 - 1. assign V910996 = V887905. assign V148450 = V910996. assign V442786 = V598167 + 1. assign V882833 = V032552 - 1. assign V264225 = V173356 - 1. assign V056595 = V966099 + 1. assign V300138 = V698349. assign V657113 = V032552 + 1. assign V519688 = V418209 - 1. assign V020033 = V173356. assign V878838 = V139015 + 1. assign V510389 = V032552. assign V284615 = V618272. assign V130430 = V882833. assign V860986 = V519688. assign V348102 = V130430. assign V042143 = V878838.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V618272 = V598167. assign V209219 = V608547 + 1. assign V459093 = V482296 - 1. assign V917556 = V684698 - 1. assign V449926 = V112966 + 1. assign V247242 = V264225 - 1. assign V980329 = V612977 - 1. assign V597048 = V155197. assign V698349 = V744214 - 1. assign V492873 = V139056. assign V720197 = V139015 + 1. assign V612977 = V510389 + 1. assign V830171 = V449059 + 1. assign V004884 = V112966. assign V097186 = V089318. assign V608547 = V449926 + 1. assign V149441 = V116075. assign V442900 = V139056. assign V252054 = V744214. assign V032552 = V203273. assign V948624 = V878838 - 1. assign V170773 = V575672 - 1. assign V803707 = V908655. assign V789891 = V139056. assign V127397 = V449059. assign V575672 = V139015 + 1. assign V642936 = V139015. assign V482296 = 1. assign V495016 = V170773. assign V685365 = V139015. assign V418209 = V032552 - 1. assign V139056 = V887905 - 1. assign V290268 = V598167 + 1. assign V720479 = V510389. assign V203273 = V449059 + 1. assign V166307 = V264225. assign V908655 = V720197 + 1. assign V864398 = V032552 + 1. assign V173356 = V094378. assign V438482 = V642936. assign V280225 = V116075. assign V744214 = V684698. assign V327959 = V575672 + 1. assign V512835 = V777303 - 1. assign V886916 = V864398 + 1. assign V967066 = V864398 + 1. assign V598167 = V155197 + 1. assign V201643 = V688833 - 1. assign V220161 = V149441 + 1. assign V772399 = V264225 + 1. assign V753037 = V139056. assign V139015 = V112966. assign V495363 = V139015 - 1. assign V116075 = V155197. assign V089318 = V966099 + 1. assign V688833 = V777303. assign V155197 = V203273 - 1. assign V686785 = V130430 + 1. assign V282369 = V966099. assign V683931 = V139056. assign V449059 = V887905 - 1. assign V354564 = V155197 - 1. assign V094378 = V139015 - 1. assign V521832 = V112966 - 1. assign V112966 = V449059 - 1. assign V777303 = V744214. assign V966099 = V203273 - 1. assign V684698 = V112966 + 1. assign V916897 = V597048 - 1. assign V910996 = V887905. assign V148450 = V910996. assign V442786 = V598167 + 1. assign V882833 = V032552 - 1. assign V264225 = V173356 - 1. assign V056595 = V966099 + 1. assign V300138 = V698349. assign V657113 = V032552 + 1. assign V519688 = V418209 - 1. assign V020033 = V173356. assign V878838 = V139015 + 1. assign V510389 = V032552. assign V284615 = V618272. assign V130430 = V882833. assign V860986 = V519688. assign V348102 = V130430. assign V042143 = V878838.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV482296 = 1;\n\nFrom these direct assignment(s), we have: \nV459093 = V482296 - 1 = 1 - 1 =0;\nNo other variables can be derived from V459093;\nNo other variables can be derived from V482296;\n\nNow we have done all the calculations. Derived variables are:\nV482296 = 1;\nV459093 = 0;\n\nNow we have finished this problem. ANSWER:\nV482296\n", "role": "assistant" } ]

[ "V848340" ]

[ { "content": "<context>\nassign V011118 = V542949 + 1. assign V421140 = V272635 - 1. assign V083513 = V486242. assign V145480 = V324864 + 1. assign V636057 = V754367 - 1. assign V196405 = V848340 - 1. assign V860526 = V556098 + 1. assign V408866 = V197564. assign V164134 = V301112 + 1. assign V638612 = V346041 - 1. assign V107430 = V874103. assign V055832 = V556098 + 1. assign V430624 = V268998. assign V802332 = V522276 - 1. assign V398910 = V660579 - 1. assign V346041 = V197564 - 1. assign V324864 = V399664 + 1. assign V858893 = V660579. assign V842486 = V636057 - 1. assign V986314 = V268998. assign V513514 = V346257 - 1. assign V177345 = V636057 + 1. assign V539201 = V399664 - 1. assign V764381 = V509337. assign V826939 = V632161 + 1. assign V145606 = V272635. assign V040834 = V715150. assign V033257 = V897334 - 1. assign V253797 = V014051 - 1. assign V077760 = V725244. assign V156292 = V014051. assign V874103 = V033257 - 1. assign V183439 = V221260. assign V750382 = V646319. assign V901300 = V213679. assign V165745 = V973867 - 1. assign V646319 = V556098 + 1. assign V145714 = V077760. assign V399664 = V213679 - 1. assign V201227 = V221260 - 1. assign V316458 = V297858 - 1. assign V272635 = V346257. assign V297858 = V156292 + 1. assign V660579 = V268998 + 1. assign V486242 = V556098 - 1. assign V321237 = V033257 - 1. assign V754367 = V327695 + 1. assign V461342 = V398910 + 1. assign V327695 = V017293 + 1. assign V066195 = V826939 - 1. assign V848340 = 7. assign V838505 = V017293 + 1. assign V977226 = V522276 + 1. assign V747296 = V197564. assign V542949 = V014051 + 1. assign V619208 = V164134. assign V973867 = V461342. assign V077003 = V221260. assign V346257 = V017293. assign V556098 = V897334 + 1. assign V213679 = V646319 + 1. assign V039534 = V486242 + 1. assign V301112 = V083513 + 1. assign V595563 = V542949 - 1. assign V897334 = V986314 + 1. assign V221260 = V268998. assign V347748 = V973867 - 1. assign V931641 = V461342 + 1. assign V302169 = V858893. assign V555290 = V486242 + 1. assign V615396 = V221260 - 1. assign V773959 = V542949 + 1. assign V715150 = V033257 - 1. assign V572890 = V717343 - 1. assign V197564 = V595563 - 1. assign V297363 = V398910 - 1. assign V014051 = V346257. assign V717343 = V522276 - 1. assign V509337 = V017293 + 1. assign V858051 = V897334. assign V017293 = V268998 + 1. assign V675231 = V509337 - 1. assign V632161 = V145480 - 1. assign V522276 = V754367 - 1. assign V858591 = V398910. assign V725244 = V017293 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V011118 = V542949 + 1. assign V421140 = V272635 - 1. assign V083513 = V486242. assign V145480 = V324864 + 1. assign V636057 = V754367 - 1. assign V196405 = V848340 - 1. assign V860526 = V556098 + 1. assign V408866 = V197564. assign V164134 = V301112 + 1. assign V638612 = V346041 - 1. assign V107430 = V874103. assign V055832 = V556098 + 1. assign V430624 = V268998. assign V802332 = V522276 - 1. assign V398910 = V660579 - 1. assign V346041 = V197564 - 1. assign V324864 = V399664 + 1. assign V858893 = V660579. assign V842486 = V636057 - 1. assign V986314 = V268998. assign V513514 = V346257 - 1. assign V177345 = V636057 + 1. assign V539201 = V399664 - 1. assign V764381 = V509337. assign V826939 = V632161 + 1. assign V145606 = V272635. assign V040834 = V715150. assign V033257 = V897334 - 1. assign V253797 = V014051 - 1. assign V077760 = V725244. assign V156292 = V014051. assign V874103 = V033257 - 1. assign V183439 = V221260. assign V750382 = V646319. assign V901300 = V213679. assign V165745 = V973867 - 1. assign V646319 = V556098 + 1. assign V145714 = V077760. assign V399664 = V213679 - 1. assign V201227 = V221260 - 1. assign V316458 = V297858 - 1. assign V272635 = V346257. assign V297858 = V156292 + 1. assign V660579 = V268998 + 1. assign V486242 = V556098 - 1. assign V321237 = V033257 - 1. assign V754367 = V327695 + 1. assign V461342 = V398910 + 1. assign V327695 = V017293 + 1. assign V066195 = V826939 - 1. assign V848340 = 7. assign V838505 = V017293 + 1. assign V977226 = V522276 + 1. assign V747296 = V197564. assign V542949 = V014051 + 1. assign V619208 = V164134. assign V973867 = V461342. assign V077003 = V221260. assign V346257 = V017293. assign V556098 = V897334 + 1. assign V213679 = V646319 + 1. assign V039534 = V486242 + 1. assign V301112 = V083513 + 1. assign V595563 = V542949 - 1. assign V897334 = V986314 + 1. assign V221260 = V268998. assign V347748 = V973867 - 1. assign V931641 = V461342 + 1. assign V302169 = V858893. assign V555290 = V486242 + 1. assign V615396 = V221260 - 1. assign V773959 = V542949 + 1. assign V715150 = V033257 - 1. assign V572890 = V717343 - 1. assign V197564 = V595563 - 1. assign V297363 = V398910 - 1. assign V014051 = V346257. assign V717343 = V522276 - 1. assign V509337 = V017293 + 1. assign V858051 = V897334. assign V017293 = V268998 + 1. assign V675231 = V509337 - 1. assign V632161 = V145480 - 1. assign V522276 = V754367 - 1. assign V858591 = V398910. assign V725244 = V017293 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV848340 = 7;\n\nFrom these direct assignment(s), we have: \nV196405 = V848340 - 1 = 7 - 1 =6;\nNo other variables can be derived from V196405;\nNo other variables can be derived from V848340;\n\nNow we have done all the calculations. Derived variables are:\nV848340 = 7;\nV196405 = 6;\n\nNow we have finished this problem. ANSWER:\nV848340\n", "role": "assistant" } ]

[ "V231411", "V336447" ]

[ { "content": "<context>\nassign V053564 = V349246 + 1. assign V571333 = V067401 + 1. assign V060290 = V381660 - 1. assign V807272 = V188890 + 1. assign V067401 = V384797 - 1. assign V142926 = V980493 - 1. assign V444953 = V796665 - 1. assign V140159 = V726992 - 1. assign V196778 = V675333 - 1. assign V887998 = V005751. assign V647550 = V620918. assign V935446 = V060290 + 1. assign V005751 = V573810. assign V721838 = V855289 - 1. assign V680938 = V913845. assign V311013 = V943543. assign V322254 = V161566. assign V285399 = V060290 + 1. assign V746085 = V564486 - 1. assign V203021 = V696380 - 1. assign V161566 = V381660. assign V888911 = V950387 - 1. assign V875705 = V913845 - 1. assign V855289 = V687553. assign V400869 = V053477 - 1. assign V503562 = V799027. assign V451195 = V463793. assign V420781 = V742512. assign V326458 = V188890 - 1. assign V490777 = V754438 - 1. assign V290520 = V585503. assign V463793 = V584666 - 1. assign V349246 = V285399 - 1. assign V025183 = V470197 + 1. assign V504822 = V888911 + 1. assign V913845 = V060290 - 1. assign V066073 = V196778. assign V628885 = V053477 - 1. assign V132080 = V008666 + 1. assign V980493 = V067401. assign V552176 = V742512. assign V828173 = V504822 + 1. assign V336447 = V231411. assign V726992 = V053477 - 1. assign V231411 = 3. assign V787369 = V053564. assign V470197 = V060290. assign V289820 = V799027. assign V754438 = V799027 + 1. assign V350845 = V420781 - 1. assign V429343 = V980493 + 1. assign V527933 = V060290 - 1. assign V722139 = V950387 - 1. assign V584666 = V384797 - 1. assign V543735 = V060290 - 1. assign V815462 = V053477 + 1. assign V588890 = V527933. assign V381660 = V799027 + 1. assign V943543 = V349246 + 1. assign V317238 = V822367. assign V687553 = V229887 - 1. assign V822367 = V349246. assign V957721 = V726992. assign V796665 = V188890 + 1. assign V977946 = V675333 + 1. assign V053477 = V799027 + 1. assign V564486 = V888911 - 1. assign V229887 = V774089 + 1. assign V696380 = V543735. assign V950387 = V384797. assign V240113 = V470197 + 1. assign V620918 = V774089 - 1. assign V008666 = V025183 + 1. assign V284553 = V067401 - 1. assign V963778 = V628885. assign V026433 = V888911 + 1. assign V774089 = V742512. assign V950738 = V647550 + 1. assign V384797 = V774089 + 1. assign V742512 = V060290 - 1. assign V153976 = V161566. assign V573810 = V153976 + 1. assign V188890 = V527933 - 1. assign V675333 = V815462 - 1. assign V585503 = V935446. assign V743879 = V527933.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V053564 = V349246 + 1. assign V571333 = V067401 + 1. assign V060290 = V381660 - 1. assign V807272 = V188890 + 1. assign V067401 = V384797 - 1. assign V142926 = V980493 - 1. assign V444953 = V796665 - 1. assign V140159 = V726992 - 1. assign V196778 = V675333 - 1. assign V887998 = V005751. assign V647550 = V620918. assign V935446 = V060290 + 1. assign V005751 = V573810. assign V721838 = V855289 - 1. assign V680938 = V913845. assign V311013 = V943543. assign V322254 = V161566. assign V285399 = V060290 + 1. assign V746085 = V564486 - 1. assign V203021 = V696380 - 1. assign V161566 = V381660. assign V888911 = V950387 - 1. assign V875705 = V913845 - 1. assign V855289 = V687553. assign V400869 = V053477 - 1. assign V503562 = V799027. assign V451195 = V463793. assign V420781 = V742512. assign V326458 = V188890 - 1. assign V490777 = V754438 - 1. assign V290520 = V585503. assign V463793 = V584666 - 1. assign V349246 = V285399 - 1. assign V025183 = V470197 + 1. assign V504822 = V888911 + 1. assign V913845 = V060290 - 1. assign V066073 = V196778. assign V628885 = V053477 - 1. assign V132080 = V008666 + 1. assign V980493 = V067401. assign V552176 = V742512. assign V828173 = V504822 + 1. assign V336447 = V231411. assign V726992 = V053477 - 1. assign V231411 = 3. assign V787369 = V053564. assign V470197 = V060290. assign V289820 = V799027. assign V754438 = V799027 + 1. assign V350845 = V420781 - 1. assign V429343 = V980493 + 1. assign V527933 = V060290 - 1. assign V722139 = V950387 - 1. assign V584666 = V384797 - 1. assign V543735 = V060290 - 1. assign V815462 = V053477 + 1. assign V588890 = V527933. assign V381660 = V799027 + 1. assign V943543 = V349246 + 1. assign V317238 = V822367. assign V687553 = V229887 - 1. assign V822367 = V349246. assign V957721 = V726992. assign V796665 = V188890 + 1. assign V977946 = V675333 + 1. assign V053477 = V799027 + 1. assign V564486 = V888911 - 1. assign V229887 = V774089 + 1. assign V696380 = V543735. assign V950387 = V384797. assign V240113 = V470197 + 1. assign V620918 = V774089 - 1. assign V008666 = V025183 + 1. assign V284553 = V067401 - 1. assign V963778 = V628885. assign V026433 = V888911 + 1. assign V774089 = V742512. assign V950738 = V647550 + 1. assign V384797 = V774089 + 1. assign V742512 = V060290 - 1. assign V153976 = V161566. assign V573810 = V153976 + 1. assign V188890 = V527933 - 1. assign V675333 = V815462 - 1. assign V585503 = V935446. assign V743879 = V527933.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV231411 = 3;\n\nFrom these direct assignment(s), we have: \nV336447 = V231411 = 3;\nNo other variables can be derived from V336447;\nNo other variables can be derived from V231411;\n\nNow we have done all the calculations. Derived variables are:\nV231411 = 3;\nV336447 = 3;\n\nNow we have finished this problem. ANSWER:\nV231411, V336447\n", "role": "assistant" } ]

[ "V837672", "V127342" ]

[ { "content": "<context>\nassign V285711 = V973156 + 1. assign V665141 = V462104 + 1. assign V144181 = V998091 + 1. assign V630970 = V041240. assign V606973 = V718618. assign V808516 = V525264. assign V165538 = V778681 + 1. assign V247468 = V403887 + 1. assign V470304 = V525264 - 1. assign V355570 = V508015 + 1. assign V451836 = V849360. assign V713654 = V937793 + 1. assign V797704 = V940427 - 1. assign V033491 = V039939 - 1. assign V987955 = V495273. assign V729597 = V039939 + 1. assign V875872 = V165538 + 1. assign V856992 = V849360 + 1. assign V601524 = V725064 + 1. assign V393621 = V903317 - 1. assign V127342 = V837672. assign V735583 = V808516 + 1. assign V268780 = V735679 - 1. assign V495583 = V915749 - 1. assign V837672 = 5. assign V757960 = V336389. assign V635988 = V808516. assign V735679 = V998091 + 1. assign V236680 = V998091. assign V783404 = V903317. assign V772203 = V851893 + 1. assign V725064 = V095685. assign V865403 = V998091 + 1. assign V468228 = V242940. assign V495273 = V964103. assign V535331 = V735679 - 1. assign V361192 = V635988 + 1. assign V525264 = V998091 + 1. assign V940427 = V321945 + 1. assign V968059 = V635988 + 1. assign V792010 = V443492 + 1. assign V964103 = V095685 + 1. assign V915749 = V242940. assign V452953 = V361192. assign V050366 = V535331 + 1. assign V827655 = V321945 + 1. assign V358417 = V535331 - 1. assign V244179 = V321945. assign V778681 = V039939. assign V851893 = V236680 + 1. assign V766649 = V508015 - 1. assign V973156 = V403887 - 1. assign V668871 = V242940. assign V702214 = V244179 + 1. assign V443492 = V735679 + 1. assign V041240 = V866547 + 1. assign V449162 = V766649 - 1. assign V903317 = V748787. assign V567055 = V361192 - 1. assign V458257 = V508015 - 1. assign V462104 = V151852 + 1. assign V348044 = V137259. assign V849360 = V525264 + 1. assign V336389 = V358417. assign V665097 = V808516 - 1. assign V955586 = V849360 - 1. assign V630765 = V508015 - 1. assign V119519 = V635988 - 1. assign V321945 = V525264 + 1. assign V151852 = V849360 + 1. assign V508015 = V443492 + 1. assign V718618 = V903317. assign V039939 = V236680 + 1. assign V866547 = V735679. assign V267999 = V039939. assign V937793 = V851893. assign V095685 = V998091 + 1. assign V242940 = V735679 - 1. assign V739602 = V165538 - 1. assign V748787 = V808516 + 1. assign V137259 = V702214. assign V403887 = V998091. assign V187213 = V739602 + 1. assign V320636 = V268780. assign V379733 = V748787. assign V202092 = V915749 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V285711 = V973156 + 1. assign V665141 = V462104 + 1. assign V144181 = V998091 + 1. assign V630970 = V041240. assign V606973 = V718618. assign V808516 = V525264. assign V165538 = V778681 + 1. assign V247468 = V403887 + 1. assign V470304 = V525264 - 1. assign V355570 = V508015 + 1. assign V451836 = V849360. assign V713654 = V937793 + 1. assign V797704 = V940427 - 1. assign V033491 = V039939 - 1. assign V987955 = V495273. assign V729597 = V039939 + 1. assign V875872 = V165538 + 1. assign V856992 = V849360 + 1. assign V601524 = V725064 + 1. assign V393621 = V903317 - 1. assign V127342 = V837672. assign V735583 = V808516 + 1. assign V268780 = V735679 - 1. assign V495583 = V915749 - 1. assign V837672 = 5. assign V757960 = V336389. assign V635988 = V808516. assign V735679 = V998091 + 1. assign V236680 = V998091. assign V783404 = V903317. assign V772203 = V851893 + 1. assign V725064 = V095685. assign V865403 = V998091 + 1. assign V468228 = V242940. assign V495273 = V964103. assign V535331 = V735679 - 1. assign V361192 = V635988 + 1. assign V525264 = V998091 + 1. assign V940427 = V321945 + 1. assign V968059 = V635988 + 1. assign V792010 = V443492 + 1. assign V964103 = V095685 + 1. assign V915749 = V242940. assign V452953 = V361192. assign V050366 = V535331 + 1. assign V827655 = V321945 + 1. assign V358417 = V535331 - 1. assign V244179 = V321945. assign V778681 = V039939. assign V851893 = V236680 + 1. assign V766649 = V508015 - 1. assign V973156 = V403887 - 1. assign V668871 = V242940. assign V702214 = V244179 + 1. assign V443492 = V735679 + 1. assign V041240 = V866547 + 1. assign V449162 = V766649 - 1. assign V903317 = V748787. assign V567055 = V361192 - 1. assign V458257 = V508015 - 1. assign V462104 = V151852 + 1. assign V348044 = V137259. assign V849360 = V525264 + 1. assign V336389 = V358417. assign V665097 = V808516 - 1. assign V955586 = V849360 - 1. assign V630765 = V508015 - 1. assign V119519 = V635988 - 1. assign V321945 = V525264 + 1. assign V151852 = V849360 + 1. assign V508015 = V443492 + 1. assign V718618 = V903317. assign V039939 = V236680 + 1. assign V866547 = V735679. assign V267999 = V039939. assign V937793 = V851893. assign V095685 = V998091 + 1. assign V242940 = V735679 - 1. assign V739602 = V165538 - 1. assign V748787 = V808516 + 1. assign V137259 = V702214. assign V403887 = V998091. assign V187213 = V739602 + 1. assign V320636 = V268780. assign V379733 = V748787. assign V202092 = V915749 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV837672 = 5;\n\nFrom these direct assignment(s), we have: \nV127342 = V837672 = 5;\nNo other variables can be derived from V127342;\nNo other variables can be derived from V837672;\n\nNow we have done all the calculations. Derived variables are:\nV837672 = 5;\nV127342 = 5;\n\nNow we have finished this problem. ANSWER:\nV837672, V127342\n", "role": "assistant" } ]

[ "V058836" ]

[ { "content": "<context>\nassign V079374 = V904595 + 1. assign V389707 = V245883. assign V967503 = V311791. assign V745656 = V284115 + 1. assign V245883 = V106322 + 1. assign V682837 = V012300 - 1. assign V184450 = V677825 + 1. assign V892041 = V626315. assign V082147 = V351170 + 1. assign V113554 = V544428. assign V923445 = V992350. assign V495943 = V012300 - 1. assign V781955 = V124293 - 1. assign V012108 = V535281. assign V311791 = V904595 - 1. assign V234519 = V989202. assign V030117 = V079535 + 1. assign V482663 = V698439. assign V822786 = V012300. assign V182064 = V118087 + 1. assign V544428 = V709976. assign V300872 = V815244 + 1. assign V265732 = V079535 + 1. assign V689371 = V904595 + 1. assign V827996 = V220913. assign V351170 = V833917. assign V626315 = V264458. assign V337280 = V892292 + 1. assign V106322 = V030117 + 1. assign V058836 = V287042 - 1. assign V537738 = V106322 + 1. assign V875745 = V182064. assign V118087 = V265732 - 1. assign V012300 = V815244. assign V183378 = V902272 - 1. assign V287042 = 8. assign V548459 = V689371 + 1. assign V457603 = V311791. assign V920655 = V526596. assign V211660 = V079374 + 1. assign V398342 = V548459. assign V220913 = V904671. assign V461094 = V495943 + 1. assign V677825 = V161899 + 1. assign V643709 = V815244. assign V755031 = V709976 - 1. assign V865452 = V643709 + 1. assign V124293 = V698439 + 1. assign V556644 = V012300 - 1. assign V264458 = V030117 + 1. assign V733901 = V816848. assign V709976 = V482663 + 1. assign V526596 = V445954. assign V989202 = V124293. assign V750822 = V265732 - 1. assign V350520 = V698439. assign V448767 = V264458 - 1. assign V490884 = V556644. assign V759026 = V816848 + 1. assign V079535 = V833917 + 1. assign V445954 = V265732 + 1. assign V284115 = V012108. assign V057920 = V119222 - 1. assign V541884 = V902272 + 1. assign V161899 = V445954 - 1. assign V974962 = V635782 + 1. assign V698439 = V833917 - 1. assign V902272 = V079535 - 1. assign V816848 = V079374 + 1. assign V535281 = V445954 + 1. assign V690555 = V079535 - 1. assign V892292 = V958738 - 1. assign V444838 = V920655 + 1. assign V476043 = V284115 + 1. assign V904671 = V689371. assign V398074 = V321332 - 1. assign V321332 = V012300 - 1. assign V992350 = V833917 + 1. assign V632168 = V445954 - 1. assign V904595 = V079535. assign V635782 = V445954 - 1. assign V804902 = V689371 + 1. assign V815244 = V118087 - 1. assign V958738 = V733901 - 1. assign V819592 = V119222 - 1. assign V119222 = V220913.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V079374 = V904595 + 1. assign V389707 = V245883. assign V967503 = V311791. assign V745656 = V284115 + 1. assign V245883 = V106322 + 1. assign V682837 = V012300 - 1. assign V184450 = V677825 + 1. assign V892041 = V626315. assign V082147 = V351170 + 1. assign V113554 = V544428. assign V923445 = V992350. assign V495943 = V012300 - 1. assign V781955 = V124293 - 1. assign V012108 = V535281. assign V311791 = V904595 - 1. assign V234519 = V989202. assign V030117 = V079535 + 1. assign V482663 = V698439. assign V822786 = V012300. assign V182064 = V118087 + 1. assign V544428 = V709976. assign V300872 = V815244 + 1. assign V265732 = V079535 + 1. assign V689371 = V904595 + 1. assign V827996 = V220913. assign V351170 = V833917. assign V626315 = V264458. assign V337280 = V892292 + 1. assign V106322 = V030117 + 1. assign V058836 = V287042 - 1. assign V537738 = V106322 + 1. assign V875745 = V182064. assign V118087 = V265732 - 1. assign V012300 = V815244. assign V183378 = V902272 - 1. assign V287042 = 8. assign V548459 = V689371 + 1. assign V457603 = V311791. assign V920655 = V526596. assign V211660 = V079374 + 1. assign V398342 = V548459. assign V220913 = V904671. assign V461094 = V495943 + 1. assign V677825 = V161899 + 1. assign V643709 = V815244. assign V755031 = V709976 - 1. assign V865452 = V643709 + 1. assign V124293 = V698439 + 1. assign V556644 = V012300 - 1. assign V264458 = V030117 + 1. assign V733901 = V816848. assign V709976 = V482663 + 1. assign V526596 = V445954. assign V989202 = V124293. assign V750822 = V265732 - 1. assign V350520 = V698439. assign V448767 = V264458 - 1. assign V490884 = V556644. assign V759026 = V816848 + 1. assign V079535 = V833917 + 1. assign V445954 = V265732 + 1. assign V284115 = V012108. assign V057920 = V119222 - 1. assign V541884 = V902272 + 1. assign V161899 = V445954 - 1. assign V974962 = V635782 + 1. assign V698439 = V833917 - 1. assign V902272 = V079535 - 1. assign V816848 = V079374 + 1. assign V535281 = V445954 + 1. assign V690555 = V079535 - 1. assign V892292 = V958738 - 1. assign V444838 = V920655 + 1. assign V476043 = V284115 + 1. assign V904671 = V689371. assign V398074 = V321332 - 1. assign V321332 = V012300 - 1. assign V992350 = V833917 + 1. assign V632168 = V445954 - 1. assign V904595 = V079535. assign V635782 = V445954 - 1. assign V804902 = V689371 + 1. assign V815244 = V118087 - 1. assign V958738 = V733901 - 1. assign V819592 = V119222 - 1. assign V119222 = V220913.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV287042 = 8;\n\nFrom these direct assignment(s), we have: \nV058836 = V287042 - 1 = 8 - 1 =7;\nNo other variables can be derived from V058836;\nNo other variables can be derived from V287042;\n\nNow we have done all the calculations. Derived variables are:\nV287042 = 8;\nV058836 = 7;\n\nNow we have finished this problem. ANSWER:\nV058836\n", "role": "assistant" } ]

[ "V227295", "V257364" ]

[ { "content": "<context>\nassign V942498 = V266512. assign V549507 = V338275. assign V445658 = V115717 - 1. assign V701533 = V115717 - 1. assign V383327 = V148893 + 1. assign V623489 = V763816 - 1. assign V809138 = V877649 - 1. assign V115717 = V025782 + 1. assign V738076 = V701533. assign V905522 = V640653. assign V087136 = V203586 - 1. assign V912848 = V475838 + 1. assign V943975 = V505234. assign V427940 = V630468. assign V664739 = V646948. assign V597232 = V634588. assign V475838 = V338275 - 1. assign V953638 = V248119 + 1. assign V290298 = V481902. assign V170491 = V203586 - 1. assign V956022 = V877877 - 1. assign V481902 = V505234. assign V222656 = V203586 + 1. assign V409968 = V953638. assign V338275 = V623489. assign V120942 = V763816 - 1. assign V428078 = V623489 - 1. assign V538877 = V228320 + 1. assign V135021 = V886979 + 1. assign V505088 = V241952. assign V886979 = V943975. assign V389848 = V943975. assign V723082 = V347345 + 1. assign V239758 = V445658. assign V634588 = V841583 - 1. assign V126160 = V971490 + 1. assign V775862 = V707505. assign V185789 = V222656 - 1. assign V036603 = V087136 + 1. assign V347345 = V025782 + 1. assign V803904 = V658174 - 1. assign V370024 = V481902 - 1. assign V340677 = V036603. assign V248119 = V025782 + 1. assign V257364 = V227295. assign V707505 = V338275 - 1. assign V658174 = V115717 + 1. assign V877649 = V877877. assign V582657 = V707505 + 1. assign V466887 = V841583 - 1. assign V763816 = V248119 - 1. assign V640653 = V466887 + 1. assign V203586 = V505234 + 1. assign V983415 = V338275 - 1. assign V266512 = V241952. assign V993302 = V203586 + 1. assign V827261 = V338275 + 1. assign V456135 = V062956 + 1. assign V278179 = V971490 + 1. assign V971490 = V338275. assign V148893 = V228320 + 1. assign V358046 = V943975 - 1. assign V228320 = V957101 - 1. assign V583607 = V168177 + 1. assign V630468 = V597232 - 1. assign V646948 = V634588 - 1. assign V631208 = V953638 - 1. assign V469622 = V347345 - 1. assign V168177 = V943975 + 1. assign V602295 = V645796 + 1. assign V249739 = V763816 - 1. assign V464584 = V087136. assign V062956 = V645796. assign V849270 = V953638. assign V241551 = V358046 - 1. assign V957101 = V646948. assign V526843 = V248119 - 1. assign V505234 = V248119 - 1. assign V227295 = 2. assign V466401 = V602295 + 1. assign V877877 = V248119. assign V241952 = V983415 + 1. assign V459794 = V763816. assign V841583 = V248119 - 1. assign V645796 = V803904 - 1. assign V569743 = V658174 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V942498 = V266512. assign V549507 = V338275. assign V445658 = V115717 - 1. assign V701533 = V115717 - 1. assign V383327 = V148893 + 1. assign V623489 = V763816 - 1. assign V809138 = V877649 - 1. assign V115717 = V025782 + 1. assign V738076 = V701533. assign V905522 = V640653. assign V087136 = V203586 - 1. assign V912848 = V475838 + 1. assign V943975 = V505234. assign V427940 = V630468. assign V664739 = V646948. assign V597232 = V634588. assign V475838 = V338275 - 1. assign V953638 = V248119 + 1. assign V290298 = V481902. assign V170491 = V203586 - 1. assign V956022 = V877877 - 1. assign V481902 = V505234. assign V222656 = V203586 + 1. assign V409968 = V953638. assign V338275 = V623489. assign V120942 = V763816 - 1. assign V428078 = V623489 - 1. assign V538877 = V228320 + 1. assign V135021 = V886979 + 1. assign V505088 = V241952. assign V886979 = V943975. assign V389848 = V943975. assign V723082 = V347345 + 1. assign V239758 = V445658. assign V634588 = V841583 - 1. assign V126160 = V971490 + 1. assign V775862 = V707505. assign V185789 = V222656 - 1. assign V036603 = V087136 + 1. assign V347345 = V025782 + 1. assign V803904 = V658174 - 1. assign V370024 = V481902 - 1. assign V340677 = V036603. assign V248119 = V025782 + 1. assign V257364 = V227295. assign V707505 = V338275 - 1. assign V658174 = V115717 + 1. assign V877649 = V877877. assign V582657 = V707505 + 1. assign V466887 = V841583 - 1. assign V763816 = V248119 - 1. assign V640653 = V466887 + 1. assign V203586 = V505234 + 1. assign V983415 = V338275 - 1. assign V266512 = V241952. assign V993302 = V203586 + 1. assign V827261 = V338275 + 1. assign V456135 = V062956 + 1. assign V278179 = V971490 + 1. assign V971490 = V338275. assign V148893 = V228320 + 1. assign V358046 = V943975 - 1. assign V228320 = V957101 - 1. assign V583607 = V168177 + 1. assign V630468 = V597232 - 1. assign V646948 = V634588 - 1. assign V631208 = V953638 - 1. assign V469622 = V347345 - 1. assign V168177 = V943975 + 1. assign V602295 = V645796 + 1. assign V249739 = V763816 - 1. assign V464584 = V087136. assign V062956 = V645796. assign V849270 = V953638. assign V241551 = V358046 - 1. assign V957101 = V646948. assign V526843 = V248119 - 1. assign V505234 = V248119 - 1. assign V227295 = 2. assign V466401 = V602295 + 1. assign V877877 = V248119. assign V241952 = V983415 + 1. assign V459794 = V763816. assign V841583 = V248119 - 1. assign V645796 = V803904 - 1. assign V569743 = V658174 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV227295 = 2;\n\nFrom these direct assignment(s), we have: \nV257364 = V227295 = 2;\nNo other variables can be derived from V257364;\nNo other variables can be derived from V227295;\n\nNow we have done all the calculations. Derived variables are:\nV227295 = 2;\nV257364 = 2;\n\nNow we have finished this problem. ANSWER:\nV227295, V257364\n", "role": "assistant" } ]

[ "V213162" ]

[ { "content": "<context>\nassign V038776 = V921946 + 1. assign V850079 = V073516 + 1. assign V937437 = V849350 - 1. assign V235634 = V017622 + 1. assign V791611 = V338883. assign V338883 = V820966 + 1. assign V597298 = V468930 + 1. assign V567343 = V344368 + 1. assign V373174 = V393367. assign V437325 = V850079 + 1. assign V716993 = V090531 + 1. assign V511893 = V038776 + 1. assign V877393 = V716993 - 1. assign V279491 = V344368 + 1. assign V344368 = V298551. assign V063153 = V572170 + 1. assign V976589 = V328832 + 1. assign V572170 = V693465 - 1. assign V775215 = V668261 - 1. assign V917093 = V129859. assign V672824 = V433673 + 1. assign V461770 = V849350. assign V787169 = V213162 - 1. assign V278001 = V033060. assign V393367 = V668798 + 1. assign V328832 = V278001 + 1. assign V616622 = V989882. assign V213162 = 6. assign V387256 = V732655 - 1. assign V059900 = V820966 - 1. assign V991065 = V597298. assign V862424 = V328832 - 1. assign V408558 = V668798 + 1. assign V668261 = V791611 - 1. assign V702081 = V090531 + 1. assign V296345 = V221924 - 1. assign V921946 = V206184 + 1. assign V989882 = V301898 - 1. assign V696348 = V468930 + 1. assign V889676 = V702081 - 1. assign V433673 = V820966 - 1. assign V519415 = V702081 + 1. assign V228204 = V889676. assign V017622 = V849350. assign V468930 = V073516 - 1. assign V511237 = V408558. assign V206184 = V055638 + 1. assign V732655 = V073516 + 1. assign V334936 = V849350 - 1. assign V668798 = V090531 + 1. assign V090531 = V298551. assign V820966 = V849350. assign V764268 = V716993 - 1. assign V684387 = V073516 + 1. assign V941979 = V934070 - 1. assign V693465 = V985191. assign V606291 = V278001 - 1. assign V717407 = V228204 - 1. assign V611913 = V090531 + 1. assign V298551 = V849350. assign V560301 = V433673 - 1. assign V754992 = V477779 - 1. assign V405380 = V567343 - 1. assign V129859 = V156485 + 1. assign V624032 = V055638 - 1. assign V584990 = V033581. assign V193559 = V373174 + 1. assign V738971 = V889676. assign V073516 = V017622. assign V461074 = V934070. assign V477779 = V877393 - 1. assign V055638 = V820966 - 1. assign V675740 = V090531. assign V156485 = V296345 + 1. assign V934070 = V567343 + 1. assign V033060 = V850079 + 1. assign V843176 = V468930 - 1. assign V493519 = V511237 - 1. assign V797598 = V672824 + 1. assign V833939 = V849350 + 1. assign V985191 = V017622. assign V255340 = V298551 + 1. assign V478115 = V055638. assign V221924 = V716993 + 1. assign V033581 = V702081 + 1. assign V301898 = V468930 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V038776 = V921946 + 1. assign V850079 = V073516 + 1. assign V937437 = V849350 - 1. assign V235634 = V017622 + 1. assign V791611 = V338883. assign V338883 = V820966 + 1. assign V597298 = V468930 + 1. assign V567343 = V344368 + 1. assign V373174 = V393367. assign V437325 = V850079 + 1. assign V716993 = V090531 + 1. assign V511893 = V038776 + 1. assign V877393 = V716993 - 1. assign V279491 = V344368 + 1. assign V344368 = V298551. assign V063153 = V572170 + 1. assign V976589 = V328832 + 1. assign V572170 = V693465 - 1. assign V775215 = V668261 - 1. assign V917093 = V129859. assign V672824 = V433673 + 1. assign V461770 = V849350. assign V787169 = V213162 - 1. assign V278001 = V033060. assign V393367 = V668798 + 1. assign V328832 = V278001 + 1. assign V616622 = V989882. assign V213162 = 6. assign V387256 = V732655 - 1. assign V059900 = V820966 - 1. assign V991065 = V597298. assign V862424 = V328832 - 1. assign V408558 = V668798 + 1. assign V668261 = V791611 - 1. assign V702081 = V090531 + 1. assign V296345 = V221924 - 1. assign V921946 = V206184 + 1. assign V989882 = V301898 - 1. assign V696348 = V468930 + 1. assign V889676 = V702081 - 1. assign V433673 = V820966 - 1. assign V519415 = V702081 + 1. assign V228204 = V889676. assign V017622 = V849350. assign V468930 = V073516 - 1. assign V511237 = V408558. assign V206184 = V055638 + 1. assign V732655 = V073516 + 1. assign V334936 = V849350 - 1. assign V668798 = V090531 + 1. assign V090531 = V298551. assign V820966 = V849350. assign V764268 = V716993 - 1. assign V684387 = V073516 + 1. assign V941979 = V934070 - 1. assign V693465 = V985191. assign V606291 = V278001 - 1. assign V717407 = V228204 - 1. assign V611913 = V090531 + 1. assign V298551 = V849350. assign V560301 = V433673 - 1. assign V754992 = V477779 - 1. assign V405380 = V567343 - 1. assign V129859 = V156485 + 1. assign V624032 = V055638 - 1. assign V584990 = V033581. assign V193559 = V373174 + 1. assign V738971 = V889676. assign V073516 = V017622. assign V461074 = V934070. assign V477779 = V877393 - 1. assign V055638 = V820966 - 1. assign V675740 = V090531. assign V156485 = V296345 + 1. assign V934070 = V567343 + 1. assign V033060 = V850079 + 1. assign V843176 = V468930 - 1. assign V493519 = V511237 - 1. assign V797598 = V672824 + 1. assign V833939 = V849350 + 1. assign V985191 = V017622. assign V255340 = V298551 + 1. assign V478115 = V055638. assign V221924 = V716993 + 1. assign V033581 = V702081 + 1. assign V301898 = V468930 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV213162 = 6;\n\nFrom these direct assignment(s), we have: \nV787169 = V213162 - 1 = 6 - 1 =5;\nNo other variables can be derived from V787169;\nNo other variables can be derived from V213162;\n\nNow we have done all the calculations. Derived variables are:\nV213162 = 6;\nV787169 = 5;\n\nNow we have finished this problem. ANSWER:\nV213162\n", "role": "assistant" } ]

[ "V449708" ]

[ { "content": "<context>\nassign V855190 = V194650 - 1. assign V675640 = V461654. assign V194650 = V719055 + 1. assign V383038 = V453747 - 1. assign V453747 = V139308 + 1. assign V143410 = V389552 - 1. assign V640672 = V253258 + 1. assign V449708 = V892767 + 1. assign V776297 = V461654 - 1. assign V429107 = V592073 + 1. assign V087505 = V139308 - 1. assign V997215 = V752536. assign V651189 = V383038. assign V849979 = V675640 + 1. assign V758363 = V389552 + 1. assign V364913 = V556686 + 1. assign V123511 = V859828 - 1. assign V290468 = V429107 + 1. assign V308961 = V103617 + 1. assign V339995 = V296757 - 1. assign V461654 = V453747. assign V232140 = V149638. assign V763530 = V207725 - 1. assign V609162 = V123511 + 1. assign V225122 = V207725 + 1. assign V816460 = V849979. assign V847616 = V985455 - 1. assign V255019 = V556686. assign V556686 = V758363. assign V813946 = V403747 - 1. assign V752536 = V087505. assign V892767 = 10. assign V223711 = V549236 - 1. assign V290684 = V479721 + 1. assign V244265 = V446424. assign V981832 = V994561. assign V719055 = V580250 + 1. assign V070618 = V855190 + 1. assign V207725 = V461654 + 1. assign V179218 = V308961 + 1. assign V296757 = V119362. assign V592073 = V580250. assign V675764 = V592073. assign V446424 = V071944. assign V176860 = V389552. assign V403747 = V119362. assign V484110 = V383038 - 1. assign V479721 = V119362 - 1. assign V621183 = V149638. assign V363693 = V429107 - 1. assign V867264 = V994561. assign V421535 = V012904 + 1. assign V012904 = V776297. assign V426227 = V776297 + 1. assign V221007 = V426227 - 1. assign V071944 = V087505 + 1. assign V523498 = V549236. assign V854083 = V849979. assign V149638 = V453747 + 1. assign V900196 = V225122 + 1. assign V389552 = V776297. assign V857205 = V087505 - 1. assign V086855 = V479721 + 1. assign V580250 = V139308 - 1. assign V293942 = V985455 - 1. assign V884868 = V119362 + 1. assign V119362 = V453747 - 1. assign V454321 = V119362. assign V253258 = V453747 + 1. assign V006054 = V139308. assign V054648 = V867264 + 1. assign V994561 = V361020 + 1. assign V758853 = V296757 + 1. assign V690202 = V087505 - 1. assign V103617 = V139308 + 1. assign V985455 = V556686 + 1. assign V524630 = V461654. assign V253730 = V363693 + 1. assign V825752 = V479721. assign V882030 = V176860. assign V153673 = V253258 - 1. assign V549236 = V758363 + 1. assign V361020 = V139308 + 1. assign V859828 = V461654. assign V205866 = V556686. assign V394157 = V054648 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V855190 = V194650 - 1. assign V675640 = V461654. assign V194650 = V719055 + 1. assign V383038 = V453747 - 1. assign V453747 = V139308 + 1. assign V143410 = V389552 - 1. assign V640672 = V253258 + 1. assign V449708 = V892767 + 1. assign V776297 = V461654 - 1. assign V429107 = V592073 + 1. assign V087505 = V139308 - 1. assign V997215 = V752536. assign V651189 = V383038. assign V849979 = V675640 + 1. assign V758363 = V389552 + 1. assign V364913 = V556686 + 1. assign V123511 = V859828 - 1. assign V290468 = V429107 + 1. assign V308961 = V103617 + 1. assign V339995 = V296757 - 1. assign V461654 = V453747. assign V232140 = V149638. assign V763530 = V207725 - 1. assign V609162 = V123511 + 1. assign V225122 = V207725 + 1. assign V816460 = V849979. assign V847616 = V985455 - 1. assign V255019 = V556686. assign V556686 = V758363. assign V813946 = V403747 - 1. assign V752536 = V087505. assign V892767 = 10. assign V223711 = V549236 - 1. assign V290684 = V479721 + 1. assign V244265 = V446424. assign V981832 = V994561. assign V719055 = V580250 + 1. assign V070618 = V855190 + 1. assign V207725 = V461654 + 1. assign V179218 = V308961 + 1. assign V296757 = V119362. assign V592073 = V580250. assign V675764 = V592073. assign V446424 = V071944. assign V176860 = V389552. assign V403747 = V119362. assign V484110 = V383038 - 1. assign V479721 = V119362 - 1. assign V621183 = V149638. assign V363693 = V429107 - 1. assign V867264 = V994561. assign V421535 = V012904 + 1. assign V012904 = V776297. assign V426227 = V776297 + 1. assign V221007 = V426227 - 1. assign V071944 = V087505 + 1. assign V523498 = V549236. assign V854083 = V849979. assign V149638 = V453747 + 1. assign V900196 = V225122 + 1. assign V389552 = V776297. assign V857205 = V087505 - 1. assign V086855 = V479721 + 1. assign V580250 = V139308 - 1. assign V293942 = V985455 - 1. assign V884868 = V119362 + 1. assign V119362 = V453747 - 1. assign V454321 = V119362. assign V253258 = V453747 + 1. assign V006054 = V139308. assign V054648 = V867264 + 1. assign V994561 = V361020 + 1. assign V758853 = V296757 + 1. assign V690202 = V087505 - 1. assign V103617 = V139308 + 1. assign V985455 = V556686 + 1. assign V524630 = V461654. assign V253730 = V363693 + 1. assign V825752 = V479721. assign V882030 = V176860. assign V153673 = V253258 - 1. assign V549236 = V758363 + 1. assign V361020 = V139308 + 1. assign V859828 = V461654. assign V205866 = V556686. assign V394157 = V054648 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV892767 = 10;\n\nFrom these direct assignment(s), we have: \nV449708 = V892767 + 1 = 10 + 1 =11;\nNo other variables can be derived from V449708;\nNo other variables can be derived from V892767;\n\nNow we have done all the calculations. Derived variables are:\nV892767 = 10;\nV449708 = 11;\n\nNow we have finished this problem. ANSWER:\nV449708\n", "role": "assistant" } ]

[ "V394472" ]

[ { "content": "<context>\nassign V175606 = V202184. assign V212643 = V555252. assign V573050 = V810866 - 1. assign V494562 = V081212 - 1. assign V252971 = V606041 - 1. assign V125697 = V183594 - 1. assign V916433 = V181255 - 1. assign V119254 = V029638 - 1. assign V002563 = V716728 - 1. assign V843139 = V750530 - 1. assign V235399 = V369915 - 1. assign V684770 = V183594 + 1. assign V081212 = V175606 - 1. assign V587327 = V029638 - 1. assign V248008 = V424549 + 1. assign V369915 = V163661 - 1. assign V163661 = V424549 - 1. assign V740818 = V684770. assign V750530 = V183594 - 1. assign V555252 = V110894 + 1. assign V663866 = V163661. assign V309851 = V424549. assign V401550 = V183594 + 1. assign V970165 = V424290 + 1. assign V703388 = V394472 - 1. assign V459244 = V633710 + 1. assign V633710 = V606041 + 1. assign V457637 = V946943 + 1. assign V582190 = V330700 + 1. assign V257671 = V633710 + 1. assign V404049 = V684770. assign V716728 = V633710 + 1. assign V256115 = V356403. assign V701635 = V252971. assign V653462 = V970165 + 1. assign V424549 = V246678. assign V650908 = V606041. assign V136564 = V459244 - 1. assign V908965 = V606041. assign V913771 = V424549 + 1. assign V246678 = V183594 - 1. assign V100860 = V369915. assign V600167 = V652735 - 1. assign V077811 = V212643. assign V810866 = V606041 + 1. assign V477751 = V136564. assign V110894 = V832247 + 1. assign V001755 = V110894 - 1. assign V851309 = V152317. assign V424290 = V716728. assign V888183 = V633710 - 1. assign V895051 = V798720 + 1. assign V493410 = V946943 + 1. assign V051772 = V457637 - 1. assign V435430 = V424290. assign V798720 = V424549 + 1. assign V102538 = V888183 - 1. assign V152317 = V183594 - 1. assign V715449 = V606041 + 1. assign V332816 = V459244 - 1. assign V074750 = V843139 - 1. assign V636817 = V181255 - 1. assign V161634 = V110894 - 1. assign V014184 = V424290 + 1. assign V859777 = V832247 + 1. assign V181255 = V832247. assign V235722 = V332816. assign V534401 = V832247 + 1. assign V652735 = V110894. assign V350416 = V716728 - 1. assign V394472 = 5. assign V250212 = V832247 - 1. assign V246896 = V257671. assign V202184 = V029638 - 1. assign V502853 = V252971. assign V375938 = V459244. assign V606041 = V181255. assign V183594 = V832247. assign V356403 = V029638 - 1. assign V994874 = V477751 - 1. assign V029638 = V633710 + 1. assign V330700 = V175606 - 1. assign V795220 = V555252 + 1. assign V500208 = V074750 - 1. assign V846061 = V843139 - 1. assign V946943 = V110894 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V175606 = V202184. assign V212643 = V555252. assign V573050 = V810866 - 1. assign V494562 = V081212 - 1. assign V252971 = V606041 - 1. assign V125697 = V183594 - 1. assign V916433 = V181255 - 1. assign V119254 = V029638 - 1. assign V002563 = V716728 - 1. assign V843139 = V750530 - 1. assign V235399 = V369915 - 1. assign V684770 = V183594 + 1. assign V081212 = V175606 - 1. assign V587327 = V029638 - 1. assign V248008 = V424549 + 1. assign V369915 = V163661 - 1. assign V163661 = V424549 - 1. assign V740818 = V684770. assign V750530 = V183594 - 1. assign V555252 = V110894 + 1. assign V663866 = V163661. assign V309851 = V424549. assign V401550 = V183594 + 1. assign V970165 = V424290 + 1. assign V703388 = V394472 - 1. assign V459244 = V633710 + 1. assign V633710 = V606041 + 1. assign V457637 = V946943 + 1. assign V582190 = V330700 + 1. assign V257671 = V633710 + 1. assign V404049 = V684770. assign V716728 = V633710 + 1. assign V256115 = V356403. assign V701635 = V252971. assign V653462 = V970165 + 1. assign V424549 = V246678. assign V650908 = V606041. assign V136564 = V459244 - 1. assign V908965 = V606041. assign V913771 = V424549 + 1. assign V246678 = V183594 - 1. assign V100860 = V369915. assign V600167 = V652735 - 1. assign V077811 = V212643. assign V810866 = V606041 + 1. assign V477751 = V136564. assign V110894 = V832247 + 1. assign V001755 = V110894 - 1. assign V851309 = V152317. assign V424290 = V716728. assign V888183 = V633710 - 1. assign V895051 = V798720 + 1. assign V493410 = V946943 + 1. assign V051772 = V457637 - 1. assign V435430 = V424290. assign V798720 = V424549 + 1. assign V102538 = V888183 - 1. assign V152317 = V183594 - 1. assign V715449 = V606041 + 1. assign V332816 = V459244 - 1. assign V074750 = V843139 - 1. assign V636817 = V181255 - 1. assign V161634 = V110894 - 1. assign V014184 = V424290 + 1. assign V859777 = V832247 + 1. assign V181255 = V832247. assign V235722 = V332816. assign V534401 = V832247 + 1. assign V652735 = V110894. assign V350416 = V716728 - 1. assign V394472 = 5. assign V250212 = V832247 - 1. assign V246896 = V257671. assign V202184 = V029638 - 1. assign V502853 = V252971. assign V375938 = V459244. assign V606041 = V181255. assign V183594 = V832247. assign V356403 = V029638 - 1. assign V994874 = V477751 - 1. assign V029638 = V633710 + 1. assign V330700 = V175606 - 1. assign V795220 = V555252 + 1. assign V500208 = V074750 - 1. assign V846061 = V843139 - 1. assign V946943 = V110894 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV394472 = 5;\n\nFrom these direct assignment(s), we have: \nV703388 = V394472 - 1 = 5 - 1 =4;\nNo other variables can be derived from V703388;\nNo other variables can be derived from V394472;\n\nNow we have done all the calculations. Derived variables are:\nV394472 = 5;\nV703388 = 4;\n\nNow we have finished this problem. ANSWER:\nV394472\n", "role": "assistant" } ]

[ "V662221" ]

[ { "content": "<context>\nassign V766174 = V122025 + 1. assign V637414 = V535688 + 1. assign V563112 = V725940. assign V478987 = V746517 + 1. assign V940032 = V214028 + 1. assign V650094 = V766174 - 1. assign V048933 = V104864 - 1. assign V330273 = V184728. assign V862753 = V595381 - 1. assign V755332 = V295557. assign V214028 = V775884. assign V725940 = V328769. assign V119975 = V112223 - 1. assign V197449 = V110639 + 1. assign V110639 = V796692. assign V595381 = V679543. assign V088123 = V486832 + 1. assign V311817 = V637414. assign V016499 = V910817. assign V129311 = V122025 - 1. assign V218480 = V738173 + 1. assign V122025 = V184728 - 1. assign V039403 = V725940 + 1. assign V440736 = V766174. assign V104864 = V535688 - 1. assign V535688 = V775884. assign V438032 = V746517 - 1. assign V295557 = V746517. assign V184728 = V796692 - 1. assign V860472 = V197449. assign V611825 = V271312 + 1. assign V327145 = V438032. assign V871516 = V327145 + 1. assign V769587 = V112223. assign V775884 = V184728. assign V332332 = V910817 + 1. assign V927998 = V535688 - 1. assign V557599 = V306860 + 1. assign V065044 = V311817 - 1. assign V723175 = V328769. assign V554110 = V595381 - 1. assign V259193 = V306860 - 1. assign V646865 = V871516 + 1. assign V301511 = V213538. assign V917492 = V659509 - 1. assign V486832 = V746517 - 1. assign V835450 = V048555 + 1. assign V306860 = V110639 + 1. assign V543886 = V796692 - 1. assign V662221 = 3. assign V271312 = V311817 + 1. assign V746517 = V110639. assign V996516 = V626305 + 1. assign V112223 = V091323 + 1. assign V577126 = V110639. assign V659509 = V306860 - 1. assign V702471 = V626305 - 1. assign V679383 = V659509 - 1. assign V006392 = V213538. assign V178815 = V917492. assign V914504 = V438032 + 1. assign V091323 = V088123 + 1. assign V413430 = V895535 - 1. assign V895535 = V459255 + 1. assign V610864 = V271312 + 1. assign V818454 = V535688 + 1. assign V517076 = V328769 + 1. assign V931016 = V723175 + 1. assign V827515 = V766174. assign V565797 = V184728 + 1. assign V328769 = V738173 - 1. assign V048555 = V276675 - 1. assign V647919 = V940032 + 1. assign V975462 = V662221 + 1. assign V430790 = V295557. assign V459255 = V006392 + 1. assign V679543 = V535688. assign V276675 = V679543. assign V137241 = V214028 - 1. assign V990769 = V746517. assign V213538 = V184728 + 1. assign V328737 = V563112 + 1. assign V910817 = V306860 - 1. assign V738173 = V796692. assign V452213 = V327145. assign V626305 = V184728 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V766174 = V122025 + 1. assign V637414 = V535688 + 1. assign V563112 = V725940. assign V478987 = V746517 + 1. assign V940032 = V214028 + 1. assign V650094 = V766174 - 1. assign V048933 = V104864 - 1. assign V330273 = V184728. assign V862753 = V595381 - 1. assign V755332 = V295557. assign V214028 = V775884. assign V725940 = V328769. assign V119975 = V112223 - 1. assign V197449 = V110639 + 1. assign V110639 = V796692. assign V595381 = V679543. assign V088123 = V486832 + 1. assign V311817 = V637414. assign V016499 = V910817. assign V129311 = V122025 - 1. assign V218480 = V738173 + 1. assign V122025 = V184728 - 1. assign V039403 = V725940 + 1. assign V440736 = V766174. assign V104864 = V535688 - 1. assign V535688 = V775884. assign V438032 = V746517 - 1. assign V295557 = V746517. assign V184728 = V796692 - 1. assign V860472 = V197449. assign V611825 = V271312 + 1. assign V327145 = V438032. assign V871516 = V327145 + 1. assign V769587 = V112223. assign V775884 = V184728. assign V332332 = V910817 + 1. assign V927998 = V535688 - 1. assign V557599 = V306860 + 1. assign V065044 = V311817 - 1. assign V723175 = V328769. assign V554110 = V595381 - 1. assign V259193 = V306860 - 1. assign V646865 = V871516 + 1. assign V301511 = V213538. assign V917492 = V659509 - 1. assign V486832 = V746517 - 1. assign V835450 = V048555 + 1. assign V306860 = V110639 + 1. assign V543886 = V796692 - 1. assign V662221 = 3. assign V271312 = V311817 + 1. assign V746517 = V110639. assign V996516 = V626305 + 1. assign V112223 = V091323 + 1. assign V577126 = V110639. assign V659509 = V306860 - 1. assign V702471 = V626305 - 1. assign V679383 = V659509 - 1. assign V006392 = V213538. assign V178815 = V917492. assign V914504 = V438032 + 1. assign V091323 = V088123 + 1. assign V413430 = V895535 - 1. assign V895535 = V459255 + 1. assign V610864 = V271312 + 1. assign V818454 = V535688 + 1. assign V517076 = V328769 + 1. assign V931016 = V723175 + 1. assign V827515 = V766174. assign V565797 = V184728 + 1. assign V328769 = V738173 - 1. assign V048555 = V276675 - 1. assign V647919 = V940032 + 1. assign V975462 = V662221 + 1. assign V430790 = V295557. assign V459255 = V006392 + 1. assign V679543 = V535688. assign V276675 = V679543. assign V137241 = V214028 - 1. assign V990769 = V746517. assign V213538 = V184728 + 1. assign V328737 = V563112 + 1. assign V910817 = V306860 - 1. assign V738173 = V796692. assign V452213 = V327145. assign V626305 = V184728 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV662221 = 3;\n\nFrom these direct assignment(s), we have: \nV975462 = V662221 + 1 = 3 + 1 =4;\nNo other variables can be derived from V975462;\nNo other variables can be derived from V662221;\n\nNow we have done all the calculations. Derived variables are:\nV662221 = 3;\nV975462 = 4;\n\nNow we have finished this problem. ANSWER:\nV662221\n", "role": "assistant" } ]

[ "V767444" ]

[ { "content": "<context>\nassign V584416 = V708236. assign V321310 = V973645. assign V376877 = V957103. assign V305122 = V735561 + 1. assign V107984 = V961632. assign V962636 = V321310 + 1. assign V526880 = V715040. assign V978385 = V329245. assign V259124 = V201588 - 1. assign V814387 = V973645 + 1. assign V418370 = V957103 - 1. assign V985896 = V096128 + 1. assign V841534 = V310330. assign V439134 = V274526 + 1. assign V767444 = V626078 - 1. assign V778665 = V162343 - 1. assign V298739 = V544513. assign V090462 = V814387 + 1. assign V268034 = V047255 - 1. assign V604508 = V376877 + 1. assign V626078 = 5. assign V846992 = V957103 + 1. assign V339984 = V107984 + 1. assign V329245 = V090462 - 1. assign V096128 = V961632. assign V715040 = V841534 + 1. assign V993360 = V649291 + 1. assign V122454 = V613078. assign V649291 = V339984 + 1. assign V905585 = V957103. assign V832288 = V993360 - 1. assign V628601 = V310330. assign V556843 = V814387 + 1. assign V437447 = V556843 + 1. assign V264420 = V329245. assign V629172 = V957103 + 1. assign V135412 = V544513. assign V957103 = V201588 - 1. assign V852530 = V556843 + 1. assign V553655 = V418370 + 1. assign V062382 = V948757. assign V499734 = V957103 + 1. assign V544513 = V629172 + 1. assign V518268 = V329245. assign V288261 = V846992 - 1. assign V186226 = V226979 + 1. assign V748879 = V556843 - 1. assign V320872 = V748879 + 1. assign V916968 = V264420. assign V359678 = V329245. assign V996814 = V905585 - 1. assign V274526 = V957103. assign V162343 = V418370. assign V405306 = V107984 + 1. assign V465242 = V841534 - 1. assign V739937 = V090462 - 1. assign V961632 = V499734 + 1. assign V879218 = V556843 + 1. assign V540814 = V957103 - 1. assign V226979 = V708236. assign V047255 = V649291 - 1. assign V848097 = V629172 - 1. assign V973645 = V957103. assign V080535 = V916968. assign V545743 = V916968 + 1. assign V974178 = V905585 + 1. assign V762307 = V957103 + 1. assign V451185 = V107984. assign V941159 = V605496 + 1. assign V395612 = V339984 - 1. assign V315433 = V708236. assign V008436 = V708236. assign V546166 = V973645 - 1. assign V948757 = V985896. assign V460297 = V305122 - 1. assign V708236 = V957103 + 1. assign V390327 = V748879 - 1. assign V627160 = V107984 - 1. assign V613078 = V584416. assign V605496 = V627160 + 1. assign V976142 = V556843 - 1. assign V852905 = V451185. assign V310330 = V259124 + 1. assign V790884 = V405306. assign V528822 = V762307. assign V735561 = V451185 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V584416 = V708236. assign V321310 = V973645. assign V376877 = V957103. assign V305122 = V735561 + 1. assign V107984 = V961632. assign V962636 = V321310 + 1. assign V526880 = V715040. assign V978385 = V329245. assign V259124 = V201588 - 1. assign V814387 = V973645 + 1. assign V418370 = V957103 - 1. assign V985896 = V096128 + 1. assign V841534 = V310330. assign V439134 = V274526 + 1. assign V767444 = V626078 - 1. assign V778665 = V162343 - 1. assign V298739 = V544513. assign V090462 = V814387 + 1. assign V268034 = V047255 - 1. assign V604508 = V376877 + 1. assign V626078 = 5. assign V846992 = V957103 + 1. assign V339984 = V107984 + 1. assign V329245 = V090462 - 1. assign V096128 = V961632. assign V715040 = V841534 + 1. assign V993360 = V649291 + 1. assign V122454 = V613078. assign V649291 = V339984 + 1. assign V905585 = V957103. assign V832288 = V993360 - 1. assign V628601 = V310330. assign V556843 = V814387 + 1. assign V437447 = V556843 + 1. assign V264420 = V329245. assign V629172 = V957103 + 1. assign V135412 = V544513. assign V957103 = V201588 - 1. assign V852530 = V556843 + 1. assign V553655 = V418370 + 1. assign V062382 = V948757. assign V499734 = V957103 + 1. assign V544513 = V629172 + 1. assign V518268 = V329245. assign V288261 = V846992 - 1. assign V186226 = V226979 + 1. assign V748879 = V556843 - 1. assign V320872 = V748879 + 1. assign V916968 = V264420. assign V359678 = V329245. assign V996814 = V905585 - 1. assign V274526 = V957103. assign V162343 = V418370. assign V405306 = V107984 + 1. assign V465242 = V841534 - 1. assign V739937 = V090462 - 1. assign V961632 = V499734 + 1. assign V879218 = V556843 + 1. assign V540814 = V957103 - 1. assign V226979 = V708236. assign V047255 = V649291 - 1. assign V848097 = V629172 - 1. assign V973645 = V957103. assign V080535 = V916968. assign V545743 = V916968 + 1. assign V974178 = V905585 + 1. assign V762307 = V957103 + 1. assign V451185 = V107984. assign V941159 = V605496 + 1. assign V395612 = V339984 - 1. assign V315433 = V708236. assign V008436 = V708236. assign V546166 = V973645 - 1. assign V948757 = V985896. assign V460297 = V305122 - 1. assign V708236 = V957103 + 1. assign V390327 = V748879 - 1. assign V627160 = V107984 - 1. assign V613078 = V584416. assign V605496 = V627160 + 1. assign V976142 = V556843 - 1. assign V852905 = V451185. assign V310330 = V259124 + 1. assign V790884 = V405306. assign V528822 = V762307. assign V735561 = V451185 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV626078 = 5;\n\nFrom these direct assignment(s), we have: \nV767444 = V626078 - 1 = 5 - 1 =4;\nNo other variables can be derived from V767444;\nNo other variables can be derived from V626078;\n\nNow we have done all the calculations. Derived variables are:\nV626078 = 5;\nV767444 = 4;\n\nNow we have finished this problem. ANSWER:\nV767444\n", "role": "assistant" } ]

[ "V858858", "V204639" ]

[ { "content": "<context>\nassign V550886 = V747860. assign V885843 = V915361. assign V915361 = V905430. assign V956362 = V582074 - 1. assign V933853 = V387243 + 1. assign V652142 = V555299. assign V970787 = V349200 - 1. assign V946632 = V174403 - 1. assign V688413 = V550886 - 1. assign V695290 = V784152 + 1. assign V123426 = V136055 - 1. assign V664212 = V606241 + 1. assign V442064 = V784152. assign V905430 = V511517 + 1. assign V238630 = V540080 + 1. assign V462398 = V797315. assign V136055 = V956362 + 1. assign V781557 = V175420 - 1. assign V722647 = V706524 - 1. assign V130907 = V784152. assign V007059 = V149030. assign V177950 = V970180 + 1. assign V946965 = V784152. assign V527363 = V007059. assign V149030 = V970787 + 1. assign V950141 = V597847 + 1. assign V958264 = V946965 - 1. assign V796857 = V387243 + 1. assign V054568 = V149030. assign V650796 = V238630 - 1. assign V901165 = V983740 - 1. assign V100067 = V550886 + 1. assign V361729 = V956362 + 1. assign V430960 = V540080. assign V820898 = V097522 - 1. assign V797315 = V863979 + 1. assign V387243 = V597847 + 1. assign V482771 = V956362 + 1. assign V105265 = V597847 - 1. assign V111536 = V956362 + 1. assign V039370 = V582074. assign V655936 = V540080. assign V690134 = V958264 + 1. assign V607602 = V946965 - 1. assign V784152 = V597847 - 1. assign V638932 = V599378 + 1. assign V791603 = V670428. assign V970180 = V256790 - 1. assign V401133 = V643254 + 1. assign V555299 = V946965 - 1. assign V983740 = V136055 - 1. assign V003730 = V970180 + 1. assign V779935 = V105265 + 1. assign V215260 = V688413. assign V739296 = V901165 + 1. assign V606241 = V901165 + 1. assign V098161 = V239386 - 1. assign V747860 = V597847. assign V582074 = V511517 + 1. assign V511517 = V784152 + 1. assign V572963 = V097246. assign V805542 = V747860 + 1. assign V175420 = V747860 - 1. assign V599378 = V511393. assign V511393 = V950141. assign V193761 = V863979 + 1. assign V858858 = 9. assign V239386 = V256790 + 1. assign V706524 = V174403 - 1. assign V447140 = V511517. assign V863979 = V784152. assign V097522 = V670428. assign V349200 = V597847 - 1. assign V643254 = V136055 + 1. assign V540080 = V582074 - 1. assign V798807 = V805542. assign V166392 = V130907 + 1. assign V834418 = V458995 - 1. assign V670428 = V643254 - 1. assign V204639 = V858858. assign V097246 = V166392. assign V256790 = V447140. assign V878452 = V747860 - 1. assign V019010 = V863979 + 1. assign V458995 = V387243 - 1. assign V174403 = V983740 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V550886 = V747860. assign V885843 = V915361. assign V915361 = V905430. assign V956362 = V582074 - 1. assign V933853 = V387243 + 1. assign V652142 = V555299. assign V970787 = V349200 - 1. assign V946632 = V174403 - 1. assign V688413 = V550886 - 1. assign V695290 = V784152 + 1. assign V123426 = V136055 - 1. assign V664212 = V606241 + 1. assign V442064 = V784152. assign V905430 = V511517 + 1. assign V238630 = V540080 + 1. assign V462398 = V797315. assign V136055 = V956362 + 1. assign V781557 = V175420 - 1. assign V722647 = V706524 - 1. assign V130907 = V784152. assign V007059 = V149030. assign V177950 = V970180 + 1. assign V946965 = V784152. assign V527363 = V007059. assign V149030 = V970787 + 1. assign V950141 = V597847 + 1. assign V958264 = V946965 - 1. assign V796857 = V387243 + 1. assign V054568 = V149030. assign V650796 = V238630 - 1. assign V901165 = V983740 - 1. assign V100067 = V550886 + 1. assign V361729 = V956362 + 1. assign V430960 = V540080. assign V820898 = V097522 - 1. assign V797315 = V863979 + 1. assign V387243 = V597847 + 1. assign V482771 = V956362 + 1. assign V105265 = V597847 - 1. assign V111536 = V956362 + 1. assign V039370 = V582074. assign V655936 = V540080. assign V690134 = V958264 + 1. assign V607602 = V946965 - 1. assign V784152 = V597847 - 1. assign V638932 = V599378 + 1. assign V791603 = V670428. assign V970180 = V256790 - 1. assign V401133 = V643254 + 1. assign V555299 = V946965 - 1. assign V983740 = V136055 - 1. assign V003730 = V970180 + 1. assign V779935 = V105265 + 1. assign V215260 = V688413. assign V739296 = V901165 + 1. assign V606241 = V901165 + 1. assign V098161 = V239386 - 1. assign V747860 = V597847. assign V582074 = V511517 + 1. assign V511517 = V784152 + 1. assign V572963 = V097246. assign V805542 = V747860 + 1. assign V175420 = V747860 - 1. assign V599378 = V511393. assign V511393 = V950141. assign V193761 = V863979 + 1. assign V858858 = 9. assign V239386 = V256790 + 1. assign V706524 = V174403 - 1. assign V447140 = V511517. assign V863979 = V784152. assign V097522 = V670428. assign V349200 = V597847 - 1. assign V643254 = V136055 + 1. assign V540080 = V582074 - 1. assign V798807 = V805542. assign V166392 = V130907 + 1. assign V834418 = V458995 - 1. assign V670428 = V643254 - 1. assign V204639 = V858858. assign V097246 = V166392. assign V256790 = V447140. assign V878452 = V747860 - 1. assign V019010 = V863979 + 1. assign V458995 = V387243 - 1. assign V174403 = V983740 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV858858 = 9;\n\nFrom these direct assignment(s), we have: \nV204639 = V858858 = 9;\nNo other variables can be derived from V204639;\nNo other variables can be derived from V858858;\n\nNow we have done all the calculations. Derived variables are:\nV858858 = 9;\nV204639 = 9;\n\nNow we have finished this problem. ANSWER:\nV858858, V204639\n", "role": "assistant" } ]

[ "V418723" ]

[ { "content": "<context>\nassign V610118 = V418723 - 1. assign V780123 = V934849 + 1. assign V103134 = V017288 + 1. assign V760212 = V433727. assign V327048 = V986093 - 1. assign V372588 = V854176 + 1. assign V675234 = V341677. assign V227364 = V666440 - 1. assign V393177 = V991328 + 1. assign V017288 = V341193. assign V417286 = V038820. assign V831198 = V675234 + 1. assign V611777 = V335312 - 1. assign V854176 = V804094 - 1. assign V801956 = V320552 - 1. assign V873868 = V583233. assign V666440 = V341193 + 1. assign V633981 = V760212 + 1. assign V709039 = V707560 + 1. assign V321331 = V180969. assign V341677 = V991328. assign V804094 = V991328 + 1. assign V774228 = V804094 - 1. assign V986093 = V341193 + 1. assign V314726 = V666440 + 1. assign V259845 = V106213 - 1. assign V384432 = V417286 + 1. assign V039504 = V986093. assign V534447 = V327048 + 1. assign V180969 = V332611. assign V741116 = V610912 - 1. assign V892330 = V975790 + 1. assign V106213 = V180969 - 1. assign V332565 = V049851 - 1. assign V199127 = V760212 - 1. assign V718519 = V341193 + 1. assign V756254 = V039504 - 1. assign V130253 = V411418 - 1. assign V583233 = V017288. assign V882660 = V327048. assign V354370 = V707560. assign V306169 = V934849 - 1. assign V114134 = V499268. assign V428043 = V610912. assign V418723 = 2. assign V991328 = V986093 + 1. assign V055619 = V675234. assign V832096 = V458769 - 1. assign V332611 = V986093 + 1. assign V828215 = V106213 + 1. assign V746746 = V804094 - 1. assign V458769 = V039504 + 1. assign V906899 = V882660. assign V283588 = V583233 + 1. assign V499268 = V354370. assign V513705 = V344435 - 1. assign V857949 = V583233. assign V942601 = V227364 - 1. assign V240063 = V049851. assign V508013 = V328246 + 1. assign V849868 = V885516 - 1. assign V344435 = V017288. assign V038820 = V741116 + 1. assign V934849 = V327048 + 1. assign V320552 = V610912 - 1. assign V610912 = V986093. assign V940465 = V804094 + 1. assign V433727 = V327048 + 1. assign V975790 = V055619. assign V885516 = V857949 + 1. assign V707560 = V341677 - 1. assign V849992 = V774228. assign V555220 = V327048. assign V974399 = V673666. assign V359279 = V991328 + 1. assign V475741 = V017288 + 1. assign V498447 = V433727 + 1. assign V049851 = V756254 - 1. assign V328246 = V321331. assign V335312 = V341677 - 1. assign V411418 = V320552 + 1. assign V673666 = V539966 - 1. assign V541938 = V555220 + 1. assign V364078 = V539966 + 1. assign V539966 = V332611 + 1. assign V752618 = V756254 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V610118 = V418723 - 1. assign V780123 = V934849 + 1. assign V103134 = V017288 + 1. assign V760212 = V433727. assign V327048 = V986093 - 1. assign V372588 = V854176 + 1. assign V675234 = V341677. assign V227364 = V666440 - 1. assign V393177 = V991328 + 1. assign V017288 = V341193. assign V417286 = V038820. assign V831198 = V675234 + 1. assign V611777 = V335312 - 1. assign V854176 = V804094 - 1. assign V801956 = V320552 - 1. assign V873868 = V583233. assign V666440 = V341193 + 1. assign V633981 = V760212 + 1. assign V709039 = V707560 + 1. assign V321331 = V180969. assign V341677 = V991328. assign V804094 = V991328 + 1. assign V774228 = V804094 - 1. assign V986093 = V341193 + 1. assign V314726 = V666440 + 1. assign V259845 = V106213 - 1. assign V384432 = V417286 + 1. assign V039504 = V986093. assign V534447 = V327048 + 1. assign V180969 = V332611. assign V741116 = V610912 - 1. assign V892330 = V975790 + 1. assign V106213 = V180969 - 1. assign V332565 = V049851 - 1. assign V199127 = V760212 - 1. assign V718519 = V341193 + 1. assign V756254 = V039504 - 1. assign V130253 = V411418 - 1. assign V583233 = V017288. assign V882660 = V327048. assign V354370 = V707560. assign V306169 = V934849 - 1. assign V114134 = V499268. assign V428043 = V610912. assign V418723 = 2. assign V991328 = V986093 + 1. assign V055619 = V675234. assign V832096 = V458769 - 1. assign V332611 = V986093 + 1. assign V828215 = V106213 + 1. assign V746746 = V804094 - 1. assign V458769 = V039504 + 1. assign V906899 = V882660. assign V283588 = V583233 + 1. assign V499268 = V354370. assign V513705 = V344435 - 1. assign V857949 = V583233. assign V942601 = V227364 - 1. assign V240063 = V049851. assign V508013 = V328246 + 1. assign V849868 = V885516 - 1. assign V344435 = V017288. assign V038820 = V741116 + 1. assign V934849 = V327048 + 1. assign V320552 = V610912 - 1. assign V610912 = V986093. assign V940465 = V804094 + 1. assign V433727 = V327048 + 1. assign V975790 = V055619. assign V885516 = V857949 + 1. assign V707560 = V341677 - 1. assign V849992 = V774228. assign V555220 = V327048. assign V974399 = V673666. assign V359279 = V991328 + 1. assign V475741 = V017288 + 1. assign V498447 = V433727 + 1. assign V049851 = V756254 - 1. assign V328246 = V321331. assign V335312 = V341677 - 1. assign V411418 = V320552 + 1. assign V673666 = V539966 - 1. assign V541938 = V555220 + 1. assign V364078 = V539966 + 1. assign V539966 = V332611 + 1. assign V752618 = V756254 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV418723 = 2;\n\nFrom these direct assignment(s), we have: \nV610118 = V418723 - 1 = 2 - 1 =1;\nNo other variables can be derived from V610118;\nNo other variables can be derived from V418723;\n\nNow we have done all the calculations. Derived variables are:\nV418723 = 2;\nV610118 = 1;\n\nNow we have finished this problem. ANSWER:\nV418723\n", "role": "assistant" } ]

[ "V807301" ]

[ { "content": "<context>\nassign V166836 = V583668 + 1. assign V242690 = V956983 + 1. assign V208456 = V769663. assign V568604 = V269753 + 1. assign V087761 = V100589. assign V288607 = V087761 + 1. assign V759378 = V909718 - 1. assign V971634 = V909718 + 1. assign V590313 = V269753 - 1. assign V433023 = V590313 + 1. assign V085493 = V279053 - 1. assign V340381 = V769663. assign V769663 = V909718. assign V361661 = V954702 + 1. assign V186523 = V741778 + 1. assign V808063 = V583668 + 1. assign V540355 = V288607. assign V599894 = V356489 - 1. assign V142276 = V100589 + 1. assign V416474 = V356489. assign V113188 = V608684 - 1. assign V088137 = V763662 + 1. assign V763662 = V882749 + 1. assign V316122 = V269753. assign V978900 = V316122. assign V175843 = V999342. assign V430006 = V796502. assign V213807 = V372118 - 1. assign V274319 = V142276 - 1. assign V965001 = V550230 + 1. assign V956983 = V571022. assign V980290 = V269753 + 1. assign V871271 = V188185 - 1. assign V456026 = V999342 + 1. assign V634439 = V909718 + 1. assign V188185 = V340381 + 1. assign V626622 = V971634 + 1. assign V741778 = V568604 - 1. assign V279053 = V012077 - 1. assign V277369 = V662833. assign V904560 = V100589 - 1. assign V937617 = V763662 - 1. assign V550230 = V882749. assign V807379 = V340381. assign V350362 = V186523. assign V180819 = V904560 - 1. assign V571022 = V909718 - 1. assign V269753 = V909718 + 1. assign V100589 = V909718 + 1. assign V630740 = V142276. assign V091003 = V763662 + 1. assign V221847 = V398877 - 1. assign V577191 = V113188. assign V795340 = 8. assign V012077 = V741778 + 1. assign V852409 = V091003 - 1. assign V999342 = V882749 - 1. assign V049702 = V017409 - 1. assign V037190 = V361661 - 1. assign V084870 = V186523 + 1. assign V583668 = V012077 + 1. assign V372118 = V017409 - 1. assign V796502 = V568604. assign V808869 = V583668. assign V899774 = V605322 - 1. assign V954702 = V759378 + 1. assign V807301 = V795340 - 1. assign V328760 = V430006 + 1. assign V096528 = V241532 + 1. assign V356489 = V605322 + 1. assign V608684 = V763662. assign V556482 = V759378. assign V614088 = V769663 + 1. assign V241532 = V741778. assign V398877 = V634439 - 1. assign V310114 = V937617. assign V605322 = V909718 + 1. assign V295138 = V328760. assign V662833 = V316122 - 1. assign V843672 = V571022 + 1. assign V472135 = V568604 - 1. assign V548657 = V316122 - 1. assign V908852 = V091003 - 1. assign V882749 = V316122 + 1. assign V798312 = V871271 + 1. assign V017409 = V269753.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V166836 = V583668 + 1. assign V242690 = V956983 + 1. assign V208456 = V769663. assign V568604 = V269753 + 1. assign V087761 = V100589. assign V288607 = V087761 + 1. assign V759378 = V909718 - 1. assign V971634 = V909718 + 1. assign V590313 = V269753 - 1. assign V433023 = V590313 + 1. assign V085493 = V279053 - 1. assign V340381 = V769663. assign V769663 = V909718. assign V361661 = V954702 + 1. assign V186523 = V741778 + 1. assign V808063 = V583668 + 1. assign V540355 = V288607. assign V599894 = V356489 - 1. assign V142276 = V100589 + 1. assign V416474 = V356489. assign V113188 = V608684 - 1. assign V088137 = V763662 + 1. assign V763662 = V882749 + 1. assign V316122 = V269753. assign V978900 = V316122. assign V175843 = V999342. assign V430006 = V796502. assign V213807 = V372118 - 1. assign V274319 = V142276 - 1. assign V965001 = V550230 + 1. assign V956983 = V571022. assign V980290 = V269753 + 1. assign V871271 = V188185 - 1. assign V456026 = V999342 + 1. assign V634439 = V909718 + 1. assign V188185 = V340381 + 1. assign V626622 = V971634 + 1. assign V741778 = V568604 - 1. assign V279053 = V012077 - 1. assign V277369 = V662833. assign V904560 = V100589 - 1. assign V937617 = V763662 - 1. assign V550230 = V882749. assign V807379 = V340381. assign V350362 = V186523. assign V180819 = V904560 - 1. assign V571022 = V909718 - 1. assign V269753 = V909718 + 1. assign V100589 = V909718 + 1. assign V630740 = V142276. assign V091003 = V763662 + 1. assign V221847 = V398877 - 1. assign V577191 = V113188. assign V795340 = 8. assign V012077 = V741778 + 1. assign V852409 = V091003 - 1. assign V999342 = V882749 - 1. assign V049702 = V017409 - 1. assign V037190 = V361661 - 1. assign V084870 = V186523 + 1. assign V583668 = V012077 + 1. assign V372118 = V017409 - 1. assign V796502 = V568604. assign V808869 = V583668. assign V899774 = V605322 - 1. assign V954702 = V759378 + 1. assign V807301 = V795340 - 1. assign V328760 = V430006 + 1. assign V096528 = V241532 + 1. assign V356489 = V605322 + 1. assign V608684 = V763662. assign V556482 = V759378. assign V614088 = V769663 + 1. assign V241532 = V741778. assign V398877 = V634439 - 1. assign V310114 = V937617. assign V605322 = V909718 + 1. assign V295138 = V328760. assign V662833 = V316122 - 1. assign V843672 = V571022 + 1. assign V472135 = V568604 - 1. assign V548657 = V316122 - 1. assign V908852 = V091003 - 1. assign V882749 = V316122 + 1. assign V798312 = V871271 + 1. assign V017409 = V269753.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV795340 = 8;\n\nFrom these direct assignment(s), we have: \nV807301 = V795340 - 1 = 8 - 1 =7;\nNo other variables can be derived from V807301;\nNo other variables can be derived from V795340;\n\nNow we have done all the calculations. Derived variables are:\nV795340 = 8;\nV807301 = 7;\n\nNow we have finished this problem. ANSWER:\nV807301\n", "role": "assistant" } ]

[ "V235093", "V539578" ]

[ { "content": "<context>\nassign V807048 = V742836 - 1. assign V760514 = V545220 + 1. assign V167340 = V273092. assign V728593 = V656521. assign V114046 = V805669 + 1. assign V112788 = V683342. assign V995375 = V167340 - 1. assign V839912 = V805669. assign V889166 = V380679 - 1. assign V742836 = V419785 + 1. assign V273092 = V023506. assign V962634 = V742836 + 1. assign V547019 = V545220 + 1. assign V235093 = 9. assign V622693 = V023506 + 1. assign V525292 = V255771 - 1. assign V264483 = V319484 - 1. assign V956451 = V805669 + 1. assign V459816 = V622693. assign V738770 = V020838 - 1. assign V360057 = V683342. assign V517874 = V693632 + 1. assign V524415 = V555038. assign V690161 = V112788 - 1. assign V033683 = V936605 + 1. assign V359370 = V995375 - 1. assign V292416 = V181598 + 1. assign V296245 = V023506 - 1. assign V899767 = V419785 - 1. assign V289579 = V889166 + 1. assign V372354 = V379353 - 1. assign V693632 = V419785. assign V213932 = V023506 - 1. assign V480526 = V114046. assign V438309 = V863786 - 1. assign V473453 = V652846. assign V320461 = V330752 + 1. assign V620978 = V545220 + 1. assign V380679 = V683342 - 1. assign V545220 = V694153 + 1. assign V319484 = V732289. assign V725053 = V656521. assign V848173 = V984483. assign V697842 = V114046 + 1. assign V321545 = V213932. assign V462898 = V732289 + 1. assign V863786 = V572052 - 1. assign V656521 = V419785. assign V321174 = V419785 - 1. assign V879346 = V112788. assign V353064 = V907530 + 1. assign V379353 = V353064 - 1. assign V741357 = V863786 + 1. assign V907530 = V114046. assign V275585 = V319484. assign V169892 = V863786 + 1. assign V020838 = V319484 + 1. assign V683342 = V947416 - 1. assign V255771 = V805669 - 1. assign V924415 = V275585 - 1. assign V419785 = V947416. assign V805669 = V947416. assign V984483 = V114046. assign V018019 = V498310. assign V565594 = V112788 - 1. assign V181598 = V400791 + 1. assign V196881 = V255771. assign V400791 = V023506. assign V286244 = V936605. assign V936605 = V255771. assign V833574 = V181598 - 1. assign V023506 = V947416 - 1. assign V330752 = V907530 + 1. assign V652846 = V683342. assign V498310 = V656521 - 1. assign V741428 = V572052. assign V572052 = V255771 - 1. assign V518337 = V473453 + 1. assign V142549 = V899767 - 1. assign V993644 = V572052 - 1. assign V117294 = V524415 + 1. assign V694153 = V863786 - 1. assign V539578 = V235093. assign V732289 = V656521. assign V549134 = V947416 - 1. assign V555038 = V995375 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V807048 = V742836 - 1. assign V760514 = V545220 + 1. assign V167340 = V273092. assign V728593 = V656521. assign V114046 = V805669 + 1. assign V112788 = V683342. assign V995375 = V167340 - 1. assign V839912 = V805669. assign V889166 = V380679 - 1. assign V742836 = V419785 + 1. assign V273092 = V023506. assign V962634 = V742836 + 1. assign V547019 = V545220 + 1. assign V235093 = 9. assign V622693 = V023506 + 1. assign V525292 = V255771 - 1. assign V264483 = V319484 - 1. assign V956451 = V805669 + 1. assign V459816 = V622693. assign V738770 = V020838 - 1. assign V360057 = V683342. assign V517874 = V693632 + 1. assign V524415 = V555038. assign V690161 = V112788 - 1. assign V033683 = V936605 + 1. assign V359370 = V995375 - 1. assign V292416 = V181598 + 1. assign V296245 = V023506 - 1. assign V899767 = V419785 - 1. assign V289579 = V889166 + 1. assign V372354 = V379353 - 1. assign V693632 = V419785. assign V213932 = V023506 - 1. assign V480526 = V114046. assign V438309 = V863786 - 1. assign V473453 = V652846. assign V320461 = V330752 + 1. assign V620978 = V545220 + 1. assign V380679 = V683342 - 1. assign V545220 = V694153 + 1. assign V319484 = V732289. assign V725053 = V656521. assign V848173 = V984483. assign V697842 = V114046 + 1. assign V321545 = V213932. assign V462898 = V732289 + 1. assign V863786 = V572052 - 1. assign V656521 = V419785. assign V321174 = V419785 - 1. assign V879346 = V112788. assign V353064 = V907530 + 1. assign V379353 = V353064 - 1. assign V741357 = V863786 + 1. assign V907530 = V114046. assign V275585 = V319484. assign V169892 = V863786 + 1. assign V020838 = V319484 + 1. assign V683342 = V947416 - 1. assign V255771 = V805669 - 1. assign V924415 = V275585 - 1. assign V419785 = V947416. assign V805669 = V947416. assign V984483 = V114046. assign V018019 = V498310. assign V565594 = V112788 - 1. assign V181598 = V400791 + 1. assign V196881 = V255771. assign V400791 = V023506. assign V286244 = V936605. assign V936605 = V255771. assign V833574 = V181598 - 1. assign V023506 = V947416 - 1. assign V330752 = V907530 + 1. assign V652846 = V683342. assign V498310 = V656521 - 1. assign V741428 = V572052. assign V572052 = V255771 - 1. assign V518337 = V473453 + 1. assign V142549 = V899767 - 1. assign V993644 = V572052 - 1. assign V117294 = V524415 + 1. assign V694153 = V863786 - 1. assign V539578 = V235093. assign V732289 = V656521. assign V549134 = V947416 - 1. assign V555038 = V995375 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV235093 = 9;\n\nFrom these direct assignment(s), we have: \nV539578 = V235093 = 9;\nNo other variables can be derived from V539578;\nNo other variables can be derived from V235093;\n\nNow we have done all the calculations. Derived variables are:\nV235093 = 9;\nV539578 = 9;\n\nNow we have finished this problem. ANSWER:\nV235093, V539578\n", "role": "assistant" } ]

[ "V887331" ]

[ { "content": "<context>\nassign V621925 = V384316 - 1. assign V279938 = V115433. assign V069860 = V115433 - 1. assign V485929 = V905706. assign V536308 = V072265 + 1. assign V078541 = V896368 - 1. assign V887331 = 9. assign V616212 = V467177 - 1. assign V126577 = V896368 - 1. assign V804034 = V910659 + 1. assign V905706 = V384316 + 1. assign V072265 = V652310 - 1. assign V238759 = V973995 - 1. assign V822901 = V139925 - 1. assign V962418 = V078541 + 1. assign V493692 = V139925 - 1. assign V780847 = V381044. assign V421694 = V115433 - 1. assign V431383 = V355270. assign V813517 = V126577. assign V441640 = V422105 + 1. assign V115433 = V685431 - 1. assign V355270 = V277963. assign V231484 = V355270 + 1. assign V976259 = V422105. assign V903064 = V546906. assign V150763 = V035280 - 1. assign V560401 = V926995 + 1. assign V771026 = V879374 - 1. assign V050070 = V804034. assign V393753 = V973995 + 1. assign V898040 = V279938 - 1. assign V801069 = V069860 + 1. assign V681045 = V771026 + 1. assign V347590 = V652416 - 1. assign V422105 = V035280. assign V054465 = V270764 - 1. assign V100215 = V490929 + 1. assign V729975 = V813517 - 1. assign V966004 = V422105 - 1. assign V037162 = V560401 - 1. assign V100012 = V115433. assign V586089 = V546906 + 1. assign V438542 = V126577 - 1. assign V394192 = V355270. assign V237610 = V381044 + 1. assign V616479 = V910659 + 1. assign V565222 = V709981 + 1. assign V201898 = V804034 - 1. assign V973995 = V384316 + 1. assign V879374 = V644847. assign V951454 = V493692 + 1. assign V910659 = V905706 + 1. assign V896368 = V905706 - 1. assign V490929 = V467177 - 1. assign V644847 = V973995 + 1. assign V403783 = V467177 + 1. assign V184261 = V277963 - 1. assign V926995 = V905706 - 1. assign V672233 = V422105. assign V219157 = V771026 + 1. assign V467177 = V905706 + 1. assign V755992 = V421694. assign V577225 = V422105. assign V527944 = V139925 - 1. assign V546906 = V035280 - 1. assign V709981 = V804034 - 1. assign V524817 = V100215 + 1. assign V035280 = V910659. assign V219777 = V871962. assign V570152 = V887331 + 1. assign V349700 = V384316. assign V871962 = V403783 - 1. assign V270764 = V905706 - 1. assign V381044 = V685431 + 1. assign V652310 = V101363 - 1. assign V670612 = V139925. assign V142370 = V910659 + 1. assign V205984 = V184261 + 1. assign V128858 = V616479 + 1. assign V685431 = V905706. assign V693112 = V565222. assign V277963 = V670612 - 1. assign V652416 = V644847 + 1. assign V384316 = V139925 + 1. assign V101363 = V438542 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V621925 = V384316 - 1. assign V279938 = V115433. assign V069860 = V115433 - 1. assign V485929 = V905706. assign V536308 = V072265 + 1. assign V078541 = V896368 - 1. assign V887331 = 9. assign V616212 = V467177 - 1. assign V126577 = V896368 - 1. assign V804034 = V910659 + 1. assign V905706 = V384316 + 1. assign V072265 = V652310 - 1. assign V238759 = V973995 - 1. assign V822901 = V139925 - 1. assign V962418 = V078541 + 1. assign V493692 = V139925 - 1. assign V780847 = V381044. assign V421694 = V115433 - 1. assign V431383 = V355270. assign V813517 = V126577. assign V441640 = V422105 + 1. assign V115433 = V685431 - 1. assign V355270 = V277963. assign V231484 = V355270 + 1. assign V976259 = V422105. assign V903064 = V546906. assign V150763 = V035280 - 1. assign V560401 = V926995 + 1. assign V771026 = V879374 - 1. assign V050070 = V804034. assign V393753 = V973995 + 1. assign V898040 = V279938 - 1. assign V801069 = V069860 + 1. assign V681045 = V771026 + 1. assign V347590 = V652416 - 1. assign V422105 = V035280. assign V054465 = V270764 - 1. assign V100215 = V490929 + 1. assign V729975 = V813517 - 1. assign V966004 = V422105 - 1. assign V037162 = V560401 - 1. assign V100012 = V115433. assign V586089 = V546906 + 1. assign V438542 = V126577 - 1. assign V394192 = V355270. assign V237610 = V381044 + 1. assign V616479 = V910659 + 1. assign V565222 = V709981 + 1. assign V201898 = V804034 - 1. assign V973995 = V384316 + 1. assign V879374 = V644847. assign V951454 = V493692 + 1. assign V910659 = V905706 + 1. assign V896368 = V905706 - 1. assign V490929 = V467177 - 1. assign V644847 = V973995 + 1. assign V403783 = V467177 + 1. assign V184261 = V277963 - 1. assign V926995 = V905706 - 1. assign V672233 = V422105. assign V219157 = V771026 + 1. assign V467177 = V905706 + 1. assign V755992 = V421694. assign V577225 = V422105. assign V527944 = V139925 - 1. assign V546906 = V035280 - 1. assign V709981 = V804034 - 1. assign V524817 = V100215 + 1. assign V035280 = V910659. assign V219777 = V871962. assign V570152 = V887331 + 1. assign V349700 = V384316. assign V871962 = V403783 - 1. assign V270764 = V905706 - 1. assign V381044 = V685431 + 1. assign V652310 = V101363 - 1. assign V670612 = V139925. assign V142370 = V910659 + 1. assign V205984 = V184261 + 1. assign V128858 = V616479 + 1. assign V685431 = V905706. assign V693112 = V565222. assign V277963 = V670612 - 1. assign V652416 = V644847 + 1. assign V384316 = V139925 + 1. assign V101363 = V438542 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV887331 = 9;\n\nFrom these direct assignment(s), we have: \nV570152 = V887331 + 1 = 9 + 1 =10;\nNo other variables can be derived from V570152;\nNo other variables can be derived from V887331;\n\nNow we have done all the calculations. Derived variables are:\nV887331 = 9;\nV570152 = 10;\n\nNow we have finished this problem. ANSWER:\nV887331\n", "role": "assistant" } ]

[ "V483281" ]

[ { "content": "<context>\nassign V642353 = V390781 - 1. assign V971511 = V667440. assign V717660 = V711922 - 1. assign V147808 = V223572. assign V996376 = V918604. assign V137786 = V045368. assign V082910 = V437546. assign V348947 = V002021. assign V946537 = V522093 - 1. assign V200656 = V962635. assign V433190 = V015261 + 1. assign V343856 = V966595 + 1. assign V259497 = V236180. assign V896883 = V104900. assign V039634 = V018689 + 1. assign V661789 = V125950 - 1. assign V002358 = V390781 - 1. assign V223572 = V039634 - 1. assign V236180 = V104900 + 1. assign V390781 = V223572 - 1. assign V962635 = V417461 + 1. assign V613093 = V417461 + 1. assign V197902 = V717660 + 1. assign V417461 = V484076 - 1. assign V106042 = V417461 - 1. assign V988690 = V390781. assign V483281 = V537999 + 1. assign V529966 = V069939. assign V415993 = V918604. assign V775308 = V400847 + 1. assign V995980 = V353454. assign V220137 = V988690. assign V018401 = V125950 - 1. assign V596196 = V104900. assign V246573 = V125950 - 1. assign V910554 = V236180. assign V446430 = V775308 + 1. assign V051891 = V223572 + 1. assign V561827 = V137786. assign V070477 = V223572 + 1. assign V341205 = V976167 - 1. assign V125950 = V348947 - 1. assign V045368 = V353454 - 1. assign V971754 = V069939 - 1. assign V966595 = V039634. assign V897694 = V896883 + 1. assign V230732 = V823022 + 1. assign V872733 = V614790 + 1. assign V370257 = V106042. assign V104900 = V711922 - 1. assign V353454 = V484076 + 1. assign V000165 = V976167 + 1. assign V400847 = V104900 - 1. assign V745444 = V022237 - 1. assign V976167 = V236180. assign V171549 = V018689 + 1. assign V387877 = V341205 - 1. assign V108708 = V223572 - 1. assign V018689 = V197902. assign V838732 = V197902 + 1. assign V634861 = V137786 - 1. assign V069939 = V197902 - 1. assign V484076 = V717660. assign V298492 = V200656 + 1. assign V015261 = V045368. assign V022237 = V775308 + 1. assign V614790 = V966595 + 1. assign V918604 = V069939 + 1. assign V239365 = V018401. assign V807040 = V125950 - 1. assign V567163 = V529966 + 1. assign V061968 = V988690. assign V084498 = V962635 - 1. assign V522093 = V018689. assign V823022 = V711922. assign V270743 = V433190. assign V728712 = V711922. assign V753854 = V018401. assign V537999 = 3. assign V437546 = V613093. assign V002021 = V104900 - 1. assign V717288 = V000165 + 1. assign V667440 = V069939. assign V769636 = V596196 + 1. assign V706188 = V200656. assign V461603 = V753854 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V642353 = V390781 - 1. assign V971511 = V667440. assign V717660 = V711922 - 1. assign V147808 = V223572. assign V996376 = V918604. assign V137786 = V045368. assign V082910 = V437546. assign V348947 = V002021. assign V946537 = V522093 - 1. assign V200656 = V962635. assign V433190 = V015261 + 1. assign V343856 = V966595 + 1. assign V259497 = V236180. assign V896883 = V104900. assign V039634 = V018689 + 1. assign V661789 = V125950 - 1. assign V002358 = V390781 - 1. assign V223572 = V039634 - 1. assign V236180 = V104900 + 1. assign V390781 = V223572 - 1. assign V962635 = V417461 + 1. assign V613093 = V417461 + 1. assign V197902 = V717660 + 1. assign V417461 = V484076 - 1. assign V106042 = V417461 - 1. assign V988690 = V390781. assign V483281 = V537999 + 1. assign V529966 = V069939. assign V415993 = V918604. assign V775308 = V400847 + 1. assign V995980 = V353454. assign V220137 = V988690. assign V018401 = V125950 - 1. assign V596196 = V104900. assign V246573 = V125950 - 1. assign V910554 = V236180. assign V446430 = V775308 + 1. assign V051891 = V223572 + 1. assign V561827 = V137786. assign V070477 = V223572 + 1. assign V341205 = V976167 - 1. assign V125950 = V348947 - 1. assign V045368 = V353454 - 1. assign V971754 = V069939 - 1. assign V966595 = V039634. assign V897694 = V896883 + 1. assign V230732 = V823022 + 1. assign V872733 = V614790 + 1. assign V370257 = V106042. assign V104900 = V711922 - 1. assign V353454 = V484076 + 1. assign V000165 = V976167 + 1. assign V400847 = V104900 - 1. assign V745444 = V022237 - 1. assign V976167 = V236180. assign V171549 = V018689 + 1. assign V387877 = V341205 - 1. assign V108708 = V223572 - 1. assign V018689 = V197902. assign V838732 = V197902 + 1. assign V634861 = V137786 - 1. assign V069939 = V197902 - 1. assign V484076 = V717660. assign V298492 = V200656 + 1. assign V015261 = V045368. assign V022237 = V775308 + 1. assign V614790 = V966595 + 1. assign V918604 = V069939 + 1. assign V239365 = V018401. assign V807040 = V125950 - 1. assign V567163 = V529966 + 1. assign V061968 = V988690. assign V084498 = V962635 - 1. assign V522093 = V018689. assign V823022 = V711922. assign V270743 = V433190. assign V728712 = V711922. assign V753854 = V018401. assign V537999 = 3. assign V437546 = V613093. assign V002021 = V104900 - 1. assign V717288 = V000165 + 1. assign V667440 = V069939. assign V769636 = V596196 + 1. assign V706188 = V200656. assign V461603 = V753854 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV537999 = 3;\n\nFrom these direct assignment(s), we have: \nV483281 = V537999 + 1 = 3 + 1 =4;\nNo other variables can be derived from V483281;\nNo other variables can be derived from V537999;\n\nNow we have done all the calculations. Derived variables are:\nV537999 = 3;\nV483281 = 4;\n\nNow we have finished this problem. ANSWER:\nV483281\n", "role": "assistant" } ]

[ "V356798", "V556594" ]

[ { "content": "<context>\nassign V429541 = V464578 + 1. assign V709941 = V262940 + 1. assign V165275 = V819713 - 1. assign V404832 = V932597 + 1. assign V034583 = V165275 + 1. assign V356798 = 5. assign V352089 = V973760. assign V464578 = V973760 + 1. assign V113876 = V765962. assign V438691 = V917080 + 1. assign V854383 = V765962 - 1. assign V647866 = V876714 - 1. assign V782562 = V788633 - 1. assign V578528 = V956190 - 1. assign V538229 = V976512 - 1. assign V173791 = V335295 + 1. assign V769678 = V034583. assign V941814 = V040886 + 1. assign V507863 = V819713 + 1. assign V997024 = V812707 + 1. assign V819713 = V069656 - 1. assign V233993 = V876714. assign V156162 = V464578 + 1. assign V192585 = V278672. assign V426551 = V530831 + 1. assign V687596 = V858563 - 1. assign V267290 = V854383 - 1. assign V926378 = V109292 + 1. assign V336103 = V495069 - 1. assign V963418 = V578528 - 1. assign V724647 = V507863 - 1. assign V524263 = V678199 - 1. assign V534188 = V034583 + 1. assign V406572 = V352089 - 1. assign V814132 = V336103 + 1. assign V143107 = V080540 + 1. assign V876714 = V973760. assign V503761 = V538229 - 1. assign V742833 = V429541. assign V765962 = V464578 + 1. assign V758098 = V153520. assign V228309 = V034583 + 1. assign V881516 = V956190 - 1. assign V556594 = V356798. assign V781744 = V932597. assign V315367 = V429541. assign V040886 = V819713 - 1. assign V069656 = V406572 + 1. assign V155864 = V678199 - 1. assign V390144 = V336103 + 1. assign V920971 = V647866. assign V968731 = V724647 - 1. assign V798886 = V069656 - 1. assign V801225 = V278672 - 1. assign V299179 = V920971 + 1. assign V327439 = V426551 - 1. assign V034239 = V932597. assign V153520 = V765962. assign V049745 = V876714 - 1. assign V109292 = V798886 - 1. assign V304085 = V429541 + 1. assign V262940 = V464578 + 1. assign V678199 = V973760. assign V491743 = V262940 - 1. assign V278672 = V080540. assign V976512 = V678199. assign V856363 = V790921. assign V932597 = V507863 + 1. assign V392937 = V782562 + 1. assign V282636 = V956190 - 1. assign V858563 = V973760. assign V335295 = V352089 + 1. assign V980320 = V335295 + 1. assign V956190 = V069656. assign V788633 = V352089 - 1. assign V554974 = V315367. assign V530831 = V647866 - 1. assign V641188 = V267290 + 1. assign V812707 = V233993 - 1. assign V647461 = V495069 - 1. assign V917080 = V798886 - 1. assign V790921 = V920971. assign V080540 = V973760. assign V528587 = V262940 + 1. assign V495069 = V406572 + 1. assign V737355 = V973760 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V429541 = V464578 + 1. assign V709941 = V262940 + 1. assign V165275 = V819713 - 1. assign V404832 = V932597 + 1. assign V034583 = V165275 + 1. assign V356798 = 5. assign V352089 = V973760. assign V464578 = V973760 + 1. assign V113876 = V765962. assign V438691 = V917080 + 1. assign V854383 = V765962 - 1. assign V647866 = V876714 - 1. assign V782562 = V788633 - 1. assign V578528 = V956190 - 1. assign V538229 = V976512 - 1. assign V173791 = V335295 + 1. assign V769678 = V034583. assign V941814 = V040886 + 1. assign V507863 = V819713 + 1. assign V997024 = V812707 + 1. assign V819713 = V069656 - 1. assign V233993 = V876714. assign V156162 = V464578 + 1. assign V192585 = V278672. assign V426551 = V530831 + 1. assign V687596 = V858563 - 1. assign V267290 = V854383 - 1. assign V926378 = V109292 + 1. assign V336103 = V495069 - 1. assign V963418 = V578528 - 1. assign V724647 = V507863 - 1. assign V524263 = V678199 - 1. assign V534188 = V034583 + 1. assign V406572 = V352089 - 1. assign V814132 = V336103 + 1. assign V143107 = V080540 + 1. assign V876714 = V973760. assign V503761 = V538229 - 1. assign V742833 = V429541. assign V765962 = V464578 + 1. assign V758098 = V153520. assign V228309 = V034583 + 1. assign V881516 = V956190 - 1. assign V556594 = V356798. assign V781744 = V932597. assign V315367 = V429541. assign V040886 = V819713 - 1. assign V069656 = V406572 + 1. assign V155864 = V678199 - 1. assign V390144 = V336103 + 1. assign V920971 = V647866. assign V968731 = V724647 - 1. assign V798886 = V069656 - 1. assign V801225 = V278672 - 1. assign V299179 = V920971 + 1. assign V327439 = V426551 - 1. assign V034239 = V932597. assign V153520 = V765962. assign V049745 = V876714 - 1. assign V109292 = V798886 - 1. assign V304085 = V429541 + 1. assign V262940 = V464578 + 1. assign V678199 = V973760. assign V491743 = V262940 - 1. assign V278672 = V080540. assign V976512 = V678199. assign V856363 = V790921. assign V932597 = V507863 + 1. assign V392937 = V782562 + 1. assign V282636 = V956190 - 1. assign V858563 = V973760. assign V335295 = V352089 + 1. assign V980320 = V335295 + 1. assign V956190 = V069656. assign V788633 = V352089 - 1. assign V554974 = V315367. assign V530831 = V647866 - 1. assign V641188 = V267290 + 1. assign V812707 = V233993 - 1. assign V647461 = V495069 - 1. assign V917080 = V798886 - 1. assign V790921 = V920971. assign V080540 = V973760. assign V528587 = V262940 + 1. assign V495069 = V406572 + 1. assign V737355 = V973760 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV356798 = 5;\n\nFrom these direct assignment(s), we have: \nV556594 = V356798 = 5;\nNo other variables can be derived from V556594;\nNo other variables can be derived from V356798;\n\nNow we have done all the calculations. Derived variables are:\nV356798 = 5;\nV556594 = 5;\n\nNow we have finished this problem. ANSWER:\nV356798, V556594\n", "role": "assistant" } ]

[ "V374281" ]

[ { "content": "<context>\nassign V191608 = V997743 - 1. assign V065343 = V113572. assign V864128 = V261840. assign V786045 = V355432. assign V355533 = V098527. assign V261840 = V676286 + 1. assign V282603 = V732794 - 1. assign V676286 = V385661 + 1. assign V081999 = V374281 + 1. assign V469807 = V774735 + 1. assign V071018 = V003739 - 1. assign V355432 = V774735. assign V744911 = V191608. assign V003739 = V098527 - 1. assign V796478 = V191608 - 1. assign V602694 = V790531 + 1. assign V665121 = V602694 + 1. assign V291989 = V310111 + 1. assign V790531 = V003739 + 1. assign V732794 = V191608 + 1. assign V188322 = V774735. assign V310111 = V140205. assign V406199 = V140205 - 1. assign V241872 = V071018 + 1. assign V594115 = V469807 + 1. assign V174162 = V509853. assign V774735 = V191608 - 1. assign V113572 = V864166 + 1. assign V928740 = V867481. assign V867481 = V406199. assign V776666 = V421926 - 1. assign V916084 = V774735. assign V925557 = V355432. assign V397164 = V153133 - 1. assign V464857 = V940414 - 1. assign V509853 = V342733. assign V562606 = V928740 - 1. assign V864166 = V021798. assign V040240 = V098527 - 1. assign V318755 = V040240 - 1. assign V059945 = V744911. assign V895880 = V247018 - 1. assign V403168 = V342733 + 1. assign V474300 = V676286 - 1. assign V396677 = V786932 + 1. assign V266975 = V939356 + 1. assign V385661 = V140205 - 1. assign V153133 = V676286 - 1. assign V486864 = V098527 + 1. assign V233651 = V059945 - 1. assign V625321 = V786045. assign V421926 = V021798. assign V662710 = V732794 - 1. assign V107792 = V744911 - 1. assign V699824 = V021798 + 1. assign V272904 = V339497 - 1. assign V329463 = V939356. assign V021798 = V003739. assign V726082 = V821316 - 1. assign V939356 = V191608. assign V786932 = V140205. assign V205458 = V699824. assign V339497 = V940414 + 1. assign V760320 = V140205 + 1. assign V902191 = V622536 + 1. assign V885996 = V474300 + 1. assign V060072 = V602694 + 1. assign V821316 = V939356. assign V374281 = 7. assign V152314 = V732794 + 1. assign V622536 = V864166 + 1. assign V247018 = V744911 + 1. assign V918323 = V071018. assign V342733 = V329463 - 1. assign V022463 = V003739 + 1. assign V845792 = V939356. assign V996871 = V188322 - 1. assign V098527 = V275969 - 1. assign V939241 = V662710 + 1. assign V378540 = V939356 + 1. assign V140205 = V275969. assign V267474 = V003739. assign V997743 = V098527 + 1. assign V940414 = V191608. assign V352531 = V486864. assign V052597 = V469807 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V191608 = V997743 - 1. assign V065343 = V113572. assign V864128 = V261840. assign V786045 = V355432. assign V355533 = V098527. assign V261840 = V676286 + 1. assign V282603 = V732794 - 1. assign V676286 = V385661 + 1. assign V081999 = V374281 + 1. assign V469807 = V774735 + 1. assign V071018 = V003739 - 1. assign V355432 = V774735. assign V744911 = V191608. assign V003739 = V098527 - 1. assign V796478 = V191608 - 1. assign V602694 = V790531 + 1. assign V665121 = V602694 + 1. assign V291989 = V310111 + 1. assign V790531 = V003739 + 1. assign V732794 = V191608 + 1. assign V188322 = V774735. assign V310111 = V140205. assign V406199 = V140205 - 1. assign V241872 = V071018 + 1. assign V594115 = V469807 + 1. assign V174162 = V509853. assign V774735 = V191608 - 1. assign V113572 = V864166 + 1. assign V928740 = V867481. assign V867481 = V406199. assign V776666 = V421926 - 1. assign V916084 = V774735. assign V925557 = V355432. assign V397164 = V153133 - 1. assign V464857 = V940414 - 1. assign V509853 = V342733. assign V562606 = V928740 - 1. assign V864166 = V021798. assign V040240 = V098527 - 1. assign V318755 = V040240 - 1. assign V059945 = V744911. assign V895880 = V247018 - 1. assign V403168 = V342733 + 1. assign V474300 = V676286 - 1. assign V396677 = V786932 + 1. assign V266975 = V939356 + 1. assign V385661 = V140205 - 1. assign V153133 = V676286 - 1. assign V486864 = V098527 + 1. assign V233651 = V059945 - 1. assign V625321 = V786045. assign V421926 = V021798. assign V662710 = V732794 - 1. assign V107792 = V744911 - 1. assign V699824 = V021798 + 1. assign V272904 = V339497 - 1. assign V329463 = V939356. assign V021798 = V003739. assign V726082 = V821316 - 1. assign V939356 = V191608. assign V786932 = V140205. assign V205458 = V699824. assign V339497 = V940414 + 1. assign V760320 = V140205 + 1. assign V902191 = V622536 + 1. assign V885996 = V474300 + 1. assign V060072 = V602694 + 1. assign V821316 = V939356. assign V374281 = 7. assign V152314 = V732794 + 1. assign V622536 = V864166 + 1. assign V247018 = V744911 + 1. assign V918323 = V071018. assign V342733 = V329463 - 1. assign V022463 = V003739 + 1. assign V845792 = V939356. assign V996871 = V188322 - 1. assign V098527 = V275969 - 1. assign V939241 = V662710 + 1. assign V378540 = V939356 + 1. assign V140205 = V275969. assign V267474 = V003739. assign V997743 = V098527 + 1. assign V940414 = V191608. assign V352531 = V486864. assign V052597 = V469807 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV374281 = 7;\n\nFrom these direct assignment(s), we have: \nV081999 = V374281 + 1 = 7 + 1 =8;\nNo other variables can be derived from V081999;\nNo other variables can be derived from V374281;\n\nNow we have done all the calculations. Derived variables are:\nV374281 = 7;\nV081999 = 8;\n\nNow we have finished this problem. ANSWER:\nV374281\n", "role": "assistant" } ]

[ "V665040" ]

[ { "content": "<context>\nassign V490035 = V344632 - 1. assign V369673 = V645989. assign V953112 = V034687 + 1. assign V150599 = V124032. assign V678699 = V286716 + 1. assign V915744 = V366275 - 1. assign V347599 = V132455. assign V679635 = V333608. assign V044059 = V915744 + 1. assign V854985 = V286716. assign V769324 = V857072. assign V130747 = V124032. assign V924253 = V286716. assign V738032 = 2. assign V286716 = V140534 - 1. assign V845483 = V003961 - 1. assign V857072 = V347599 - 1. assign V158193 = V854985 + 1. assign V003961 = V900769 + 1. assign V366275 = V460272. assign V282827 = V150599 + 1. assign V209766 = V909297 + 1. assign V417018 = V034687. assign V482145 = V552396. assign V798249 = V909297. assign V197660 = V344632 - 1. assign V169291 = V124032 + 1. assign V832781 = V059254 - 1. assign V059254 = V169291. assign V192007 = V831132. assign V344632 = V831132. assign V981134 = V368421. assign V796496 = V286716. assign V668702 = V859056. assign V760869 = V854985 + 1. assign V350019 = V909297 + 1. assign V230355 = V769324. assign V122976 = V460272 - 1. assign V544741 = V760869. assign V815377 = V471994 - 1. assign V460272 = V369673 - 1. assign V499558 = V245878. assign V039546 = V037050 + 1. assign V034687 = V333608 - 1. assign V013185 = V034687 + 1. assign V368421 = V339899 + 1. assign V439366 = V831132. assign V035255 = V874550 - 1. assign V245878 = V140534. assign V140534 = V124032 + 1. assign V237105 = V471994 + 1. assign V037050 = V140534 + 1. assign V048152 = V630213 - 1. assign V665040 = V738032 + 1. assign V231062 = V900769 + 1. assign V862382 = V039546. assign V900769 = V630213 + 1. assign V432025 = V439366 + 1. assign V333608 = V132455 + 1. assign V112187 = V369673 + 1. assign V127423 = V369673 + 1. assign V874550 = V796496 + 1. assign V132455 = V140534 - 1. assign V173050 = V132455 + 1. assign V630213 = V015420 - 1. assign V831132 = V347599 - 1. assign V339899 = V132455. assign V289561 = V212875. assign V015420 = V796496 - 1. assign V909297 = V333608 + 1. assign V645989 = V245878 - 1. assign V840173 = V132455. assign V293760 = V859056. assign V578504 = V037050 + 1. assign V823562 = V150599. assign V647399 = V034687 + 1. assign V552396 = V015420. assign V831978 = V796496 - 1. assign V225635 = V862382. assign V859056 = V035255. assign V212875 = V059254 - 1. assign V471994 = V497871. assign V497871 = V909297 - 1. assign V437325 = V874550 + 1. assign V081085 = V130747. assign V721946 = V857072 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V490035 = V344632 - 1. assign V369673 = V645989. assign V953112 = V034687 + 1. assign V150599 = V124032. assign V678699 = V286716 + 1. assign V915744 = V366275 - 1. assign V347599 = V132455. assign V679635 = V333608. assign V044059 = V915744 + 1. assign V854985 = V286716. assign V769324 = V857072. assign V130747 = V124032. assign V924253 = V286716. assign V738032 = 2. assign V286716 = V140534 - 1. assign V845483 = V003961 - 1. assign V857072 = V347599 - 1. assign V158193 = V854985 + 1. assign V003961 = V900769 + 1. assign V366275 = V460272. assign V282827 = V150599 + 1. assign V209766 = V909297 + 1. assign V417018 = V034687. assign V482145 = V552396. assign V798249 = V909297. assign V197660 = V344632 - 1. assign V169291 = V124032 + 1. assign V832781 = V059254 - 1. assign V059254 = V169291. assign V192007 = V831132. assign V344632 = V831132. assign V981134 = V368421. assign V796496 = V286716. assign V668702 = V859056. assign V760869 = V854985 + 1. assign V350019 = V909297 + 1. assign V230355 = V769324. assign V122976 = V460272 - 1. assign V544741 = V760869. assign V815377 = V471994 - 1. assign V460272 = V369673 - 1. assign V499558 = V245878. assign V039546 = V037050 + 1. assign V034687 = V333608 - 1. assign V013185 = V034687 + 1. assign V368421 = V339899 + 1. assign V439366 = V831132. assign V035255 = V874550 - 1. assign V245878 = V140534. assign V140534 = V124032 + 1. assign V237105 = V471994 + 1. assign V037050 = V140534 + 1. assign V048152 = V630213 - 1. assign V665040 = V738032 + 1. assign V231062 = V900769 + 1. assign V862382 = V039546. assign V900769 = V630213 + 1. assign V432025 = V439366 + 1. assign V333608 = V132455 + 1. assign V112187 = V369673 + 1. assign V127423 = V369673 + 1. assign V874550 = V796496 + 1. assign V132455 = V140534 - 1. assign V173050 = V132455 + 1. assign V630213 = V015420 - 1. assign V831132 = V347599 - 1. assign V339899 = V132455. assign V289561 = V212875. assign V015420 = V796496 - 1. assign V909297 = V333608 + 1. assign V645989 = V245878 - 1. assign V840173 = V132455. assign V293760 = V859056. assign V578504 = V037050 + 1. assign V823562 = V150599. assign V647399 = V034687 + 1. assign V552396 = V015420. assign V831978 = V796496 - 1. assign V225635 = V862382. assign V859056 = V035255. assign V212875 = V059254 - 1. assign V471994 = V497871. assign V497871 = V909297 - 1. assign V437325 = V874550 + 1. assign V081085 = V130747. assign V721946 = V857072 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV738032 = 2;\n\nFrom these direct assignment(s), we have: \nV665040 = V738032 + 1 = 2 + 1 =3;\nNo other variables can be derived from V665040;\nNo other variables can be derived from V738032;\n\nNow we have done all the calculations. Derived variables are:\nV738032 = 2;\nV665040 = 3;\n\nNow we have finished this problem. ANSWER:\nV665040\n", "role": "assistant" } ]

[ "V619689", "V855505" ]

[ { "content": "<context>\nassign V962469 = V486084. assign V130324 = V490854 - 1. assign V311510 = V596393 + 1. assign V472313 = V192625. assign V704401 = V315171 - 1. assign V994696 = V583702 - 1. assign V617005 = V648157 + 1. assign V058962 = V994696. assign V695269 = V330603 + 1. assign V564904 = V065698. assign V331718 = V838335 + 1. assign V956788 = V062393 - 1. assign V332176 = V962469 - 1. assign V729680 = V838721 + 1. assign V838335 = V746725 + 1. assign V628944 = V746725 + 1. assign V956153 = V792227 - 1. assign V486084 = V657383. assign V555172 = V504744 - 1. assign V806423 = V628944 + 1. assign V064089 = V962469. assign V792227 = V838335 - 1. assign V034176 = V583702. assign V192625 = V472788. assign V337662 = V316576 - 1. assign V881874 = V746725. assign V028109 = V192625 - 1. assign V088287 = V062393. assign V038953 = V028109 - 1. assign V315171 = V729680 + 1. assign V583702 = V746725 + 1. assign V354510 = V316576. assign V309105 = V062393 + 1. assign V361803 = V494432 + 1. assign V973968 = V986264. assign V824618 = V334136 - 1. assign V137048 = V746725 + 1. assign V330603 = V986264 + 1. assign V931007 = V062393 + 1. assign V363768 = V892648 - 1. assign V291434 = V080338 + 1. assign V657383 = V838335 + 1. assign V334136 = V331718 + 1. assign V005965 = V198574 - 1. assign V490854 = V583702 - 1. assign V097116 = V209659 + 1. assign V472004 = V792227. assign V603739 = V694792. assign V517615 = V316576. assign V209659 = V028109 - 1. assign V596393 = V628944 - 1. assign V504744 = V881874 - 1. assign V210010 = V596393 + 1. assign V963283 = V956788 + 1. assign V855505 = V619689. assign V198574 = V746725 + 1. assign V087925 = V806423 + 1. assign V472788 = V583702. assign V803584 = V956153. assign V690756 = V330603. assign V510340 = V331718 - 1. assign V638716 = V956788 - 1. assign V948302 = V330603. assign V648157 = V192625 + 1. assign V494432 = V486084. assign V316576 = V088287. assign V705542 = V337662. assign V080338 = V490854. assign V838721 = V795222. assign V689327 = V315171 + 1. assign V428455 = V789975 - 1. assign V986264 = V309105. assign V789975 = V583702 - 1. assign V001049 = V330603 + 1. assign V892648 = V617005 + 1. assign V322625 = V472788 + 1. assign V065698 = V956153. assign V795222 = V986264 - 1. assign V113918 = V311510 + 1. assign V619689 = 5. assign V612845 = V845996 - 1. assign V062393 = V838335. assign V694792 = V986264 + 1. assign V793284 = V824618 + 1. assign V988557 = V510340 + 1. assign V845996 = V080338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V962469 = V486084. assign V130324 = V490854 - 1. assign V311510 = V596393 + 1. assign V472313 = V192625. assign V704401 = V315171 - 1. assign V994696 = V583702 - 1. assign V617005 = V648157 + 1. assign V058962 = V994696. assign V695269 = V330603 + 1. assign V564904 = V065698. assign V331718 = V838335 + 1. assign V956788 = V062393 - 1. assign V332176 = V962469 - 1. assign V729680 = V838721 + 1. assign V838335 = V746725 + 1. assign V628944 = V746725 + 1. assign V956153 = V792227 - 1. assign V486084 = V657383. assign V555172 = V504744 - 1. assign V806423 = V628944 + 1. assign V064089 = V962469. assign V792227 = V838335 - 1. assign V034176 = V583702. assign V192625 = V472788. assign V337662 = V316576 - 1. assign V881874 = V746725. assign V028109 = V192625 - 1. assign V088287 = V062393. assign V038953 = V028109 - 1. assign V315171 = V729680 + 1. assign V583702 = V746725 + 1. assign V354510 = V316576. assign V309105 = V062393 + 1. assign V361803 = V494432 + 1. assign V973968 = V986264. assign V824618 = V334136 - 1. assign V137048 = V746725 + 1. assign V330603 = V986264 + 1. assign V931007 = V062393 + 1. assign V363768 = V892648 - 1. assign V291434 = V080338 + 1. assign V657383 = V838335 + 1. assign V334136 = V331718 + 1. assign V005965 = V198574 - 1. assign V490854 = V583702 - 1. assign V097116 = V209659 + 1. assign V472004 = V792227. assign V603739 = V694792. assign V517615 = V316576. assign V209659 = V028109 - 1. assign V596393 = V628944 - 1. assign V504744 = V881874 - 1. assign V210010 = V596393 + 1. assign V963283 = V956788 + 1. assign V855505 = V619689. assign V198574 = V746725 + 1. assign V087925 = V806423 + 1. assign V472788 = V583702. assign V803584 = V956153. assign V690756 = V330603. assign V510340 = V331718 - 1. assign V638716 = V956788 - 1. assign V948302 = V330603. assign V648157 = V192625 + 1. assign V494432 = V486084. assign V316576 = V088287. assign V705542 = V337662. assign V080338 = V490854. assign V838721 = V795222. assign V689327 = V315171 + 1. assign V428455 = V789975 - 1. assign V986264 = V309105. assign V789975 = V583702 - 1. assign V001049 = V330603 + 1. assign V892648 = V617005 + 1. assign V322625 = V472788 + 1. assign V065698 = V956153. assign V795222 = V986264 - 1. assign V113918 = V311510 + 1. assign V619689 = 5. assign V612845 = V845996 - 1. assign V062393 = V838335. assign V694792 = V986264 + 1. assign V793284 = V824618 + 1. assign V988557 = V510340 + 1. assign V845996 = V080338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV619689 = 5;\n\nFrom these direct assignment(s), we have: \nV855505 = V619689 = 5;\nNo other variables can be derived from V855505;\nNo other variables can be derived from V619689;\n\nNow we have done all the calculations. Derived variables are:\nV619689 = 5;\nV855505 = 5;\n\nNow we have finished this problem. ANSWER:\nV619689, V855505\n", "role": "assistant" } ]

[ "V261718" ]

[ { "content": "<context>\nassign V367374 = V023962. assign V892997 = V944651 - 1. assign V151420 = V636275 + 1. assign V984968 = V034821 + 1. assign V699629 = V946069. assign V002274 = V357508 - 1. assign V849750 = V174478 + 1. assign V539693 = V107116 + 1. assign V023962 = V615856 + 1. assign V261718 = 6. assign V524372 = V450937. assign V827858 = V946069. assign V603032 = V406802 + 1. assign V115037 = V788379 + 1. assign V788379 = V082997. assign V372144 = V674729 - 1. assign V565066 = V353083 - 1. assign V968353 = V674729 + 1. assign V458963 = V023962 - 1. assign V709487 = V823616 - 1. assign V674729 = V002274. assign V864081 = V411971. assign V027101 = V709487 - 1. assign V342818 = V085015. assign V833345 = V002274 + 1. assign V088108 = V603032 + 1. assign V107116 = V088108 - 1. assign V960186 = V357508 - 1. assign V615856 = V406802 - 1. assign V896686 = V194008 - 1. assign V357508 = V603032. assign V990783 = V709487. assign V663256 = V002274 - 1. assign V635901 = V744908 + 1. assign V711529 = V636275 + 1. assign V864201 = V494341. assign V387399 = V088108. assign V237983 = V876501 - 1. assign V086832 = V190617 + 1. assign V606051 = V406802 - 1. assign V085015 = V946069 - 1. assign V623052 = V342818. assign V411971 = V342818. assign V192638 = V788379. assign V110045 = V606051 + 1. assign V654727 = V823616. assign V047443 = V652764 + 1. assign V194008 = V827858 + 1. assign V807373 = V636275 - 1. assign V541659 = V406802. assign V868538 = V665776 - 1. assign V737995 = V395739 + 1. assign V353083 = V788379 - 1. assign V979625 = V711529 - 1. assign V069210 = V520850. assign V034821 = V110045 + 1. assign V412061 = V085015 - 1. assign V494341 = V603032. assign V520850 = V556439 + 1. assign V253215 = V699629. assign V265515 = V827858 + 1. assign V556439 = V406802 - 1. assign V037409 = V833345 + 1. assign V395739 = V944651 + 1. assign V665776 = V876501 + 1. assign V190617 = V372144 - 1. assign V461348 = V652764 - 1. assign V636275 = V603032. assign V672017 = V636275. assign V450937 = V357508 - 1. assign V940866 = V864201. assign V652764 = V107116 - 1. assign V963408 = V699629 + 1. assign V823616 = V636275 - 1. assign V756298 = V261718 + 1. assign V511707 = V342818 - 1. assign V744908 = V946069. assign V946069 = V406802. assign V794215 = V237983 - 1. assign V413622 = V027101 - 1. assign V241295 = V794215 + 1. assign V174478 = V372144 + 1. assign V944651 = V946069. assign V876501 = V788379 - 1. assign V304281 = V699629 - 1. assign V082997 = V088108 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V367374 = V023962. assign V892997 = V944651 - 1. assign V151420 = V636275 + 1. assign V984968 = V034821 + 1. assign V699629 = V946069. assign V002274 = V357508 - 1. assign V849750 = V174478 + 1. assign V539693 = V107116 + 1. assign V023962 = V615856 + 1. assign V261718 = 6. assign V524372 = V450937. assign V827858 = V946069. assign V603032 = V406802 + 1. assign V115037 = V788379 + 1. assign V788379 = V082997. assign V372144 = V674729 - 1. assign V565066 = V353083 - 1. assign V968353 = V674729 + 1. assign V458963 = V023962 - 1. assign V709487 = V823616 - 1. assign V674729 = V002274. assign V864081 = V411971. assign V027101 = V709487 - 1. assign V342818 = V085015. assign V833345 = V002274 + 1. assign V088108 = V603032 + 1. assign V107116 = V088108 - 1. assign V960186 = V357508 - 1. assign V615856 = V406802 - 1. assign V896686 = V194008 - 1. assign V357508 = V603032. assign V990783 = V709487. assign V663256 = V002274 - 1. assign V635901 = V744908 + 1. assign V711529 = V636275 + 1. assign V864201 = V494341. assign V387399 = V088108. assign V237983 = V876501 - 1. assign V086832 = V190617 + 1. assign V606051 = V406802 - 1. assign V085015 = V946069 - 1. assign V623052 = V342818. assign V411971 = V342818. assign V192638 = V788379. assign V110045 = V606051 + 1. assign V654727 = V823616. assign V047443 = V652764 + 1. assign V194008 = V827858 + 1. assign V807373 = V636275 - 1. assign V541659 = V406802. assign V868538 = V665776 - 1. assign V737995 = V395739 + 1. assign V353083 = V788379 - 1. assign V979625 = V711529 - 1. assign V069210 = V520850. assign V034821 = V110045 + 1. assign V412061 = V085015 - 1. assign V494341 = V603032. assign V520850 = V556439 + 1. assign V253215 = V699629. assign V265515 = V827858 + 1. assign V556439 = V406802 - 1. assign V037409 = V833345 + 1. assign V395739 = V944651 + 1. assign V665776 = V876501 + 1. assign V190617 = V372144 - 1. assign V461348 = V652764 - 1. assign V636275 = V603032. assign V672017 = V636275. assign V450937 = V357508 - 1. assign V940866 = V864201. assign V652764 = V107116 - 1. assign V963408 = V699629 + 1. assign V823616 = V636275 - 1. assign V756298 = V261718 + 1. assign V511707 = V342818 - 1. assign V744908 = V946069. assign V946069 = V406802. assign V794215 = V237983 - 1. assign V413622 = V027101 - 1. assign V241295 = V794215 + 1. assign V174478 = V372144 + 1. assign V944651 = V946069. assign V876501 = V788379 - 1. assign V304281 = V699629 - 1. assign V082997 = V088108 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV261718 = 6;\n\nFrom these direct assignment(s), we have: \nV756298 = V261718 + 1 = 6 + 1 =7;\nNo other variables can be derived from V756298;\nNo other variables can be derived from V261718;\n\nNow we have done all the calculations. Derived variables are:\nV261718 = 6;\nV756298 = 7;\n\nNow we have finished this problem. ANSWER:\nV261718\n", "role": "assistant" } ]

[ "V119755" ]

[ { "content": "<context>\nassign V450371 = V246834 + 1. assign V666099 = V986331. assign V738546 = V678086 + 1. assign V050570 = V162281. assign V375925 = V424744. assign V559227 = V185787 - 1. assign V242591 = V958591 - 1. assign V631221 = V271618 - 1. assign V732306 = V185787 + 1. assign V529314 = V950597 - 1. assign V950597 = V185787 - 1. assign V750794 = V950597. assign V257456 = V691055 + 1. assign V663567 = V559227. assign V466330 = V650412. assign V666705 = V297828 - 1. assign V140627 = V691055 - 1. assign V119755 = V821335 + 1. assign V650412 = V897606 + 1. assign V986331 = V473173 - 1. assign V821335 = 7. assign V924464 = V255614. assign V539482 = V246834. assign V814175 = V559227 + 1. assign V354616 = V160254 - 1. assign V020252 = V473173. assign V991378 = V461697 + 1. assign V117928 = V661249 + 1. assign V098486 = V257456 - 1. assign V622844 = V950597 - 1. assign V544411 = V354616 - 1. assign V473173 = V972001 - 1. assign V836964 = V246834. assign V958591 = V160254 + 1. assign V226031 = V354616 - 1. assign V847768 = V559227 + 1. assign V676224 = V663567 + 1. assign V678086 = V473173. assign V033405 = V678086. assign V661249 = V160254. assign V198696 = V185787 - 1. assign V011936 = V185787. assign V424744 = V271618 + 1. assign V266362 = V991378. assign V271034 = V354616 + 1. assign V943254 = V880011. assign V160254 = V271618 - 1. assign V256965 = V255614 - 1. assign V910634 = V050570 - 1. assign V395138 = V880011 + 1. assign V654531 = V473173 - 1. assign V723501 = V732306 + 1. assign V271618 = V297828 - 1. assign V048267 = V764138. assign V253426 = V050570 - 1. assign V784660 = V271618 + 1. assign V297828 = V162281 - 1. assign V633469 = V050570 - 1. assign V955252 = V162281 + 1. assign V357082 = V750794 + 1. assign V461697 = V156030. assign V125488 = V424744 - 1. assign V952040 = V125488. assign V185787 = V271618 + 1. assign V972001 = V162281 + 1. assign V988441 = V691055 + 1. assign V897606 = V354616 + 1. assign V255614 = V661249 - 1. assign V512226 = V354616 - 1. assign V156030 = V836964 - 1. assign V044095 = V466330 - 1. assign V880011 = V485047 - 1. assign V578570 = V559227 - 1. assign V764138 = V986331 + 1. assign V919332 = V666705 - 1. assign V895928 = V666705 - 1. assign V981191 = V271618. assign V876340 = V033405. assign V152225 = V958591 + 1. assign V796713 = V952040 + 1. assign V111275 = V098486 - 1. assign V485047 = V950597 + 1. assign V691055 = V986331 - 1. assign V513367 = V424744 + 1. assign V246834 = V050570 + 1. assign V220353 = V678086.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V450371 = V246834 + 1. assign V666099 = V986331. assign V738546 = V678086 + 1. assign V050570 = V162281. assign V375925 = V424744. assign V559227 = V185787 - 1. assign V242591 = V958591 - 1. assign V631221 = V271618 - 1. assign V732306 = V185787 + 1. assign V529314 = V950597 - 1. assign V950597 = V185787 - 1. assign V750794 = V950597. assign V257456 = V691055 + 1. assign V663567 = V559227. assign V466330 = V650412. assign V666705 = V297828 - 1. assign V140627 = V691055 - 1. assign V119755 = V821335 + 1. assign V650412 = V897606 + 1. assign V986331 = V473173 - 1. assign V821335 = 7. assign V924464 = V255614. assign V539482 = V246834. assign V814175 = V559227 + 1. assign V354616 = V160254 - 1. assign V020252 = V473173. assign V991378 = V461697 + 1. assign V117928 = V661249 + 1. assign V098486 = V257456 - 1. assign V622844 = V950597 - 1. assign V544411 = V354616 - 1. assign V473173 = V972001 - 1. assign V836964 = V246834. assign V958591 = V160254 + 1. assign V226031 = V354616 - 1. assign V847768 = V559227 + 1. assign V676224 = V663567 + 1. assign V678086 = V473173. assign V033405 = V678086. assign V661249 = V160254. assign V198696 = V185787 - 1. assign V011936 = V185787. assign V424744 = V271618 + 1. assign V266362 = V991378. assign V271034 = V354616 + 1. assign V943254 = V880011. assign V160254 = V271618 - 1. assign V256965 = V255614 - 1. assign V910634 = V050570 - 1. assign V395138 = V880011 + 1. assign V654531 = V473173 - 1. assign V723501 = V732306 + 1. assign V271618 = V297828 - 1. assign V048267 = V764138. assign V253426 = V050570 - 1. assign V784660 = V271618 + 1. assign V297828 = V162281 - 1. assign V633469 = V050570 - 1. assign V955252 = V162281 + 1. assign V357082 = V750794 + 1. assign V461697 = V156030. assign V125488 = V424744 - 1. assign V952040 = V125488. assign V185787 = V271618 + 1. assign V972001 = V162281 + 1. assign V988441 = V691055 + 1. assign V897606 = V354616 + 1. assign V255614 = V661249 - 1. assign V512226 = V354616 - 1. assign V156030 = V836964 - 1. assign V044095 = V466330 - 1. assign V880011 = V485047 - 1. assign V578570 = V559227 - 1. assign V764138 = V986331 + 1. assign V919332 = V666705 - 1. assign V895928 = V666705 - 1. assign V981191 = V271618. assign V876340 = V033405. assign V152225 = V958591 + 1. assign V796713 = V952040 + 1. assign V111275 = V098486 - 1. assign V485047 = V950597 + 1. assign V691055 = V986331 - 1. assign V513367 = V424744 + 1. assign V246834 = V050570 + 1. assign V220353 = V678086.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV821335 = 7;\n\nFrom these direct assignment(s), we have: \nV119755 = V821335 + 1 = 7 + 1 =8;\nNo other variables can be derived from V119755;\nNo other variables can be derived from V821335;\n\nNow we have done all the calculations. Derived variables are:\nV821335 = 7;\nV119755 = 8;\n\nNow we have finished this problem. ANSWER:\nV119755\n", "role": "assistant" } ]

[ "V657824" ]

[ { "content": "<context>\nassign V057616 = V987764 - 1. assign V984920 = V768098. assign V424841 = V682880. assign V895892 = V099264 + 1. assign V968697 = V528492. assign V827358 = V374897 + 1. assign V289090 = V441919 - 1. assign V657824 = V804142 - 1. assign V696239 = V948609 + 1. assign V540086 = V226867. assign V899205 = V127066 - 1. assign V987764 = V441919 + 1. assign V542817 = V948609 + 1. assign V948609 = V528492 + 1. assign V196253 = V948609. assign V127066 = V044992 - 1. assign V281313 = V540086. assign V858493 = V987764. assign V216654 = V827358 - 1. assign V804142 = 1. assign V366967 = V778312. assign V144632 = V226867. assign V618682 = V630579 + 1. assign V034981 = V128526 + 1. assign V737289 = V687038. assign V441919 = V099264. assign V682880 = V984920. assign V835952 = V196253 - 1. assign V928789 = V441919 + 1. assign V528492 = V099264 + 1. assign V628167 = V778312. assign V014573 = V424841. assign V128526 = V441919 - 1. assign V226867 = V128526 + 1. assign V232483 = V778312. assign V655389 = V566787. assign V630579 = V124908. assign V835580 = V899219. assign V044992 = V948609 - 1. assign V996301 = V176583. assign V002761 = V578596 - 1. assign V384959 = V835952. assign V694182 = V064434. assign V687038 = V899219 + 1. assign V411694 = V784860. assign V939065 = V895892 - 1. assign V371891 = V099264 - 1. assign V899219 = V528492 + 1. assign V242442 = V441919 - 1. assign V466899 = V044992. assign V784860 = V676236. assign V521386 = V768765. assign V515281 = V475878 - 1. assign V566787 = V144632 + 1. assign V466157 = V835952 - 1. assign V768765 = V399037 + 1. assign V374897 = V127066 - 1. assign V676236 = V627054. assign V560485 = V124908. assign V064434 = V289090 - 1. assign V778312 = V948609 - 1. assign V176583 = V895892. assign V826251 = V374897 + 1. assign V211504 = V128526 - 1. assign V627054 = V987764 - 1. assign V413109 = V687038 + 1. assign V399037 = V528492. assign V036371 = V176583 - 1. assign V262276 = V044992 + 1. assign V759638 = V144632 + 1. assign V855003 = V289090 - 1. assign V171567 = V466899. assign V292068 = V984920. assign V436351 = V895892 - 1. assign V768098 = V627054. assign V732378 = V984920. assign V150388 = V899219. assign V216367 = V475878 - 1. assign V437666 = V044992 + 1. assign V450049 = V528492 + 1. assign V124908 = V436351. assign V686662 = V542817 - 1. assign V598878 = V768098. assign V578596 = V044992. assign V475878 = V399037 - 1. assign V164894 = V858493.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V057616 = V987764 - 1. assign V984920 = V768098. assign V424841 = V682880. assign V895892 = V099264 + 1. assign V968697 = V528492. assign V827358 = V374897 + 1. assign V289090 = V441919 - 1. assign V657824 = V804142 - 1. assign V696239 = V948609 + 1. assign V540086 = V226867. assign V899205 = V127066 - 1. assign V987764 = V441919 + 1. assign V542817 = V948609 + 1. assign V948609 = V528492 + 1. assign V196253 = V948609. assign V127066 = V044992 - 1. assign V281313 = V540086. assign V858493 = V987764. assign V216654 = V827358 - 1. assign V804142 = 1. assign V366967 = V778312. assign V144632 = V226867. assign V618682 = V630579 + 1. assign V034981 = V128526 + 1. assign V737289 = V687038. assign V441919 = V099264. assign V682880 = V984920. assign V835952 = V196253 - 1. assign V928789 = V441919 + 1. assign V528492 = V099264 + 1. assign V628167 = V778312. assign V014573 = V424841. assign V128526 = V441919 - 1. assign V226867 = V128526 + 1. assign V232483 = V778312. assign V655389 = V566787. assign V630579 = V124908. assign V835580 = V899219. assign V044992 = V948609 - 1. assign V996301 = V176583. assign V002761 = V578596 - 1. assign V384959 = V835952. assign V694182 = V064434. assign V687038 = V899219 + 1. assign V411694 = V784860. assign V939065 = V895892 - 1. assign V371891 = V099264 - 1. assign V899219 = V528492 + 1. assign V242442 = V441919 - 1. assign V466899 = V044992. assign V784860 = V676236. assign V521386 = V768765. assign V515281 = V475878 - 1. assign V566787 = V144632 + 1. assign V466157 = V835952 - 1. assign V768765 = V399037 + 1. assign V374897 = V127066 - 1. assign V676236 = V627054. assign V560485 = V124908. assign V064434 = V289090 - 1. assign V778312 = V948609 - 1. assign V176583 = V895892. assign V826251 = V374897 + 1. assign V211504 = V128526 - 1. assign V627054 = V987764 - 1. assign V413109 = V687038 + 1. assign V399037 = V528492. assign V036371 = V176583 - 1. assign V262276 = V044992 + 1. assign V759638 = V144632 + 1. assign V855003 = V289090 - 1. assign V171567 = V466899. assign V292068 = V984920. assign V436351 = V895892 - 1. assign V768098 = V627054. assign V732378 = V984920. assign V150388 = V899219. assign V216367 = V475878 - 1. assign V437666 = V044992 + 1. assign V450049 = V528492 + 1. assign V124908 = V436351. assign V686662 = V542817 - 1. assign V598878 = V768098. assign V578596 = V044992. assign V475878 = V399037 - 1. assign V164894 = V858493.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV804142 = 1;\n\nFrom these direct assignment(s), we have: \nV657824 = V804142 - 1 = 1 - 1 =0;\nNo other variables can be derived from V657824;\nNo other variables can be derived from V804142;\n\nNow we have done all the calculations. Derived variables are:\nV804142 = 1;\nV657824 = 0;\n\nNow we have finished this problem. ANSWER:\nV657824\n", "role": "assistant" } ]

[ "V403335", "V868742" ]

[ { "content": "<context>\nassign V620271 = V557810. assign V275195 = V145391 + 1. assign V863031 = V400742. assign V191905 = V553721 + 1. assign V865663 = V968180 + 1. assign V265099 = V966575 + 1. assign V868742 = V403335. assign V918164 = V199947 - 1. assign V785301 = V850429 - 1. assign V771840 = V794077. assign V057558 = V109751. assign V542064 = V400742. assign V781130 = V802688. assign V794077 = V763799 + 1. assign V021269 = V087667. assign V169964 = V239778. assign V720022 = V771840 + 1. assign V813501 = V781130 + 1. assign V538055 = V824360 + 1. assign V968641 = V538055 - 1. assign V239778 = V781130 + 1. assign V248915 = V199947 - 1. assign V966575 = V823526 - 1. assign V581662 = V840941. assign V282925 = V812476 - 1. assign V831760 = V812476 + 1. assign V553721 = V479885 - 1. assign V225753 = V581662 - 1. assign V984694 = V275195 + 1. assign V400742 = V802688. assign V809020 = V295992 - 1. assign V009637 = V239778 + 1. assign V291557 = V824360 + 1. assign V914137 = V876032 - 1. assign V819343 = V348896. assign V137987 = V348896. assign V626735 = V918164 + 1. assign V137315 = V542064 + 1. assign V217968 = V850429 - 1. assign V199947 = V275718 + 1. assign V823526 = V802688 - 1. assign V337972 = V864541. assign V452893 = V813501 + 1. assign V850429 = V542064. assign V566810 = V781130. assign V479885 = V865663 - 1. assign V087667 = V441201. assign V840941 = V802688 - 1. assign V441201 = V616228 + 1. assign V401303 = V267339 - 1. assign V968180 = V802688 + 1. assign V145391 = V802688 - 1. assign V045649 = V850429 - 1. assign V876032 = V225753 - 1. assign V747927 = V581662. assign V965563 = V109751 - 1. assign V208223 = V892102 - 1. assign V127499 = V291557. assign V275718 = V781130 + 1. assign V421205 = V057558 + 1. assign V763799 = V823526. assign V103263 = V840941 + 1. assign V611676 = V542064 - 1. assign V557810 = V275718 + 1. assign V824360 = V581662. assign V616228 = V401303. assign V864541 = V479885 + 1. assign V403335 = 5. assign V430067 = V876032 + 1. assign V760066 = V239778 - 1. assign V403259 = V581662 + 1. assign V151193 = V781130. assign V980835 = V239778 + 1. assign V167513 = V918164 - 1. assign V113751 = V747927 - 1. assign V225028 = V291557 - 1. assign V812476 = V581662. assign V892102 = V275718. assign V487041 = V348896 - 1. assign V072274 = V812476 + 1. assign V964513 = V557810. assign V109751 = V802688 + 1. assign V295992 = V403259 - 1. assign V267339 = V802688 + 1. assign V348896 = V865663. assign V338830 = V824360.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V620271 = V557810. assign V275195 = V145391 + 1. assign V863031 = V400742. assign V191905 = V553721 + 1. assign V865663 = V968180 + 1. assign V265099 = V966575 + 1. assign V868742 = V403335. assign V918164 = V199947 - 1. assign V785301 = V850429 - 1. assign V771840 = V794077. assign V057558 = V109751. assign V542064 = V400742. assign V781130 = V802688. assign V794077 = V763799 + 1. assign V021269 = V087667. assign V169964 = V239778. assign V720022 = V771840 + 1. assign V813501 = V781130 + 1. assign V538055 = V824360 + 1. assign V968641 = V538055 - 1. assign V239778 = V781130 + 1. assign V248915 = V199947 - 1. assign V966575 = V823526 - 1. assign V581662 = V840941. assign V282925 = V812476 - 1. assign V831760 = V812476 + 1. assign V553721 = V479885 - 1. assign V225753 = V581662 - 1. assign V984694 = V275195 + 1. assign V400742 = V802688. assign V809020 = V295992 - 1. assign V009637 = V239778 + 1. assign V291557 = V824360 + 1. assign V914137 = V876032 - 1. assign V819343 = V348896. assign V137987 = V348896. assign V626735 = V918164 + 1. assign V137315 = V542064 + 1. assign V217968 = V850429 - 1. assign V199947 = V275718 + 1. assign V823526 = V802688 - 1. assign V337972 = V864541. assign V452893 = V813501 + 1. assign V850429 = V542064. assign V566810 = V781130. assign V479885 = V865663 - 1. assign V087667 = V441201. assign V840941 = V802688 - 1. assign V441201 = V616228 + 1. assign V401303 = V267339 - 1. assign V968180 = V802688 + 1. assign V145391 = V802688 - 1. assign V045649 = V850429 - 1. assign V876032 = V225753 - 1. assign V747927 = V581662. assign V965563 = V109751 - 1. assign V208223 = V892102 - 1. assign V127499 = V291557. assign V275718 = V781130 + 1. assign V421205 = V057558 + 1. assign V763799 = V823526. assign V103263 = V840941 + 1. assign V611676 = V542064 - 1. assign V557810 = V275718 + 1. assign V824360 = V581662. assign V616228 = V401303. assign V864541 = V479885 + 1. assign V403335 = 5. assign V430067 = V876032 + 1. assign V760066 = V239778 - 1. assign V403259 = V581662 + 1. assign V151193 = V781130. assign V980835 = V239778 + 1. assign V167513 = V918164 - 1. assign V113751 = V747927 - 1. assign V225028 = V291557 - 1. assign V812476 = V581662. assign V892102 = V275718. assign V487041 = V348896 - 1. assign V072274 = V812476 + 1. assign V964513 = V557810. assign V109751 = V802688 + 1. assign V295992 = V403259 - 1. assign V267339 = V802688 + 1. assign V348896 = V865663. assign V338830 = V824360.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV403335 = 5;\n\nFrom these direct assignment(s), we have: \nV868742 = V403335 = 5;\nNo other variables can be derived from V868742;\nNo other variables can be derived from V403335;\n\nNow we have done all the calculations. Derived variables are:\nV403335 = 5;\nV868742 = 5;\n\nNow we have finished this problem. ANSWER:\nV403335, V868742\n", "role": "assistant" } ]

[ "V703365", "V163078" ]

[ { "content": "<context>\nassign V703365 = 8. assign V518573 = V186731 - 1. assign V240226 = V985841 + 1. assign V336405 = V070561 + 1. assign V761118 = V091156 + 1. assign V349712 = V025706 - 1. assign V662486 = V585425. assign V185607 = V205402 - 1. assign V257222 = V761118 - 1. assign V702657 = V552414 + 1. assign V449200 = V660478 - 1. assign V491439 = V660478 - 1. assign V165378 = V275399 - 1. assign V334697 = V913056. assign V275399 = V890587 - 1. assign V573034 = V934795. assign V356216 = V660478 - 1. assign V158355 = V934795 + 1. assign V497329 = V185597 + 1. assign V587879 = V702657 + 1. assign V020138 = V689128 + 1. assign V036255 = V890587. assign V385541 = V186731 + 1. assign V495176 = V660478 + 1. assign V428769 = V334697 - 1. assign V126218 = V552414 - 1. assign V862800 = V026266 - 1. assign V293886 = V689128 + 1. assign V733543 = V662297 - 1. assign V660478 = V334697. assign V091156 = V385541 + 1. assign V789209 = V310277 - 1. assign V946191 = V733682 + 1. assign V862595 = V027784 + 1. assign V154060 = V020138 - 1. assign V662297 = V091156. assign V268095 = V449200 - 1. assign V325179 = V979998 + 1. assign V824187 = V159933. assign V440293 = V185597 + 1. assign V651294 = V934795. assign V552414 = V416263 + 1. assign V837465 = V424624 + 1. assign V733682 = V774223 + 1. assign V266765 = V091156 - 1. assign V163078 = V703365. assign V258735 = V660478 - 1. assign V626628 = V934795 + 1. assign V026266 = V158355 + 1. assign V839702 = V697781 + 1. assign V025706 = V913056. assign V416263 = V159933. assign V697781 = V497329 + 1. assign V744310 = V497329. assign V424624 = V310277 + 1. assign V772597 = V789209 + 1. assign V360363 = V325179 + 1. assign V372184 = V518573 - 1. assign V707518 = V275399. assign V383222 = V660478. assign V934795 = V789209. assign V585425 = V652011 + 1. assign V524972 = V383222 - 1. assign V979998 = V186731. assign V890587 = V385541. assign V696014 = V356216. assign V985841 = V497329 - 1. assign V195805 = V229216 + 1. assign V070561 = V774223. assign V205402 = V518573 + 1. assign V229216 = V689128 + 1. assign V928876 = V837465 + 1. assign V378250 = V662297. assign V913056 = V789209 - 1. assign V027784 = V707518 - 1. assign V554888 = V159933. assign V652011 = V186731. assign V774223 = V186731 - 1. assign V186731 = V789209. assign V159933 = V310277 - 1. assign V348294 = V325179. assign V693572 = V662297 + 1. assign V185597 = V334697. assign V435908 = V186731. assign V689128 = V934795 - 1. assign V996928 = V702657 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V703365 = 8. assign V518573 = V186731 - 1. assign V240226 = V985841 + 1. assign V336405 = V070561 + 1. assign V761118 = V091156 + 1. assign V349712 = V025706 - 1. assign V662486 = V585425. assign V185607 = V205402 - 1. assign V257222 = V761118 - 1. assign V702657 = V552414 + 1. assign V449200 = V660478 - 1. assign V491439 = V660478 - 1. assign V165378 = V275399 - 1. assign V334697 = V913056. assign V275399 = V890587 - 1. assign V573034 = V934795. assign V356216 = V660478 - 1. assign V158355 = V934795 + 1. assign V497329 = V185597 + 1. assign V587879 = V702657 + 1. assign V020138 = V689128 + 1. assign V036255 = V890587. assign V385541 = V186731 + 1. assign V495176 = V660478 + 1. assign V428769 = V334697 - 1. assign V126218 = V552414 - 1. assign V862800 = V026266 - 1. assign V293886 = V689128 + 1. assign V733543 = V662297 - 1. assign V660478 = V334697. assign V091156 = V385541 + 1. assign V789209 = V310277 - 1. assign V946191 = V733682 + 1. assign V862595 = V027784 + 1. assign V154060 = V020138 - 1. assign V662297 = V091156. assign V268095 = V449200 - 1. assign V325179 = V979998 + 1. assign V824187 = V159933. assign V440293 = V185597 + 1. assign V651294 = V934795. assign V552414 = V416263 + 1. assign V837465 = V424624 + 1. assign V733682 = V774223 + 1. assign V266765 = V091156 - 1. assign V163078 = V703365. assign V258735 = V660478 - 1. assign V626628 = V934795 + 1. assign V026266 = V158355 + 1. assign V839702 = V697781 + 1. assign V025706 = V913056. assign V416263 = V159933. assign V697781 = V497329 + 1. assign V744310 = V497329. assign V424624 = V310277 + 1. assign V772597 = V789209 + 1. assign V360363 = V325179 + 1. assign V372184 = V518573 - 1. assign V707518 = V275399. assign V383222 = V660478. assign V934795 = V789209. assign V585425 = V652011 + 1. assign V524972 = V383222 - 1. assign V979998 = V186731. assign V890587 = V385541. assign V696014 = V356216. assign V985841 = V497329 - 1. assign V195805 = V229216 + 1. assign V070561 = V774223. assign V205402 = V518573 + 1. assign V229216 = V689128 + 1. assign V928876 = V837465 + 1. assign V378250 = V662297. assign V913056 = V789209 - 1. assign V027784 = V707518 - 1. assign V554888 = V159933. assign V652011 = V186731. assign V774223 = V186731 - 1. assign V186731 = V789209. assign V159933 = V310277 - 1. assign V348294 = V325179. assign V693572 = V662297 + 1. assign V185597 = V334697. assign V435908 = V186731. assign V689128 = V934795 - 1. assign V996928 = V702657 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV703365 = 8;\n\nFrom these direct assignment(s), we have: \nV163078 = V703365 = 8;\nNo other variables can be derived from V163078;\nNo other variables can be derived from V703365;\n\nNow we have done all the calculations. Derived variables are:\nV703365 = 8;\nV163078 = 8;\n\nNow we have finished this problem. ANSWER:\nV703365, V163078\n", "role": "assistant" } ]

[ "V965546" ]

[ { "content": "<context>\nassign V439333 = V217763. assign V832329 = V320428. assign V854559 = V300396 + 1. assign V243843 = V833726. assign V123903 = V925129 - 1. assign V868071 = V320428 - 1. assign V772906 = V374772 + 1. assign V565661 = V446942 - 1. assign V530798 = V470471 + 1. assign V374772 = V995180. assign V178210 = V550439 + 1. assign V503818 = V134051 - 1. assign V572036 = V530798 + 1. assign V718013 = V499079 + 1. assign V925129 = V163286 + 1. assign V434951 = V555417 - 1. assign V555417 = V995180 - 1. assign V300396 = V594033 - 1. assign V169167 = V368847 + 1. assign V619506 = V541871 - 1. assign V501845 = V036953 - 1. assign V594033 = V368847 - 1. assign V986187 = V470471. assign V653131 = V134051 + 1. assign V256519 = V554211 + 1. assign V283098 = V184829 + 1. assign V939189 = V541871. assign V870850 = V434951 + 1. assign V005099 = V470471 + 1. assign V167848 = V220980 + 1. assign V163286 = V833726. assign V532787 = V251478. assign V139954 = V654400. assign V500247 = V619506 + 1. assign V941246 = V385166 + 1. assign V185670 = V881080 + 1. assign V654400 = V868071. assign V805696 = V374772. assign V794716 = V555417 - 1. assign V411735 = V134051. assign V907789 = V594033 + 1. assign V550439 = V821443 + 1. assign V251478 = V320428 - 1. assign V844589 = V565661 - 1. assign V893415 = V868071 + 1. assign V842164 = V981855 + 1. assign V368847 = V036953 + 1. assign V267665 = V881080 + 1. assign V476554 = V243843 - 1. assign V561398 = V995180 + 1. assign V659956 = V572036. assign V833726 = V541871. assign V217763 = V163286 + 1. assign V158876 = V868071 + 1. assign V385166 = V833726 - 1. assign V446942 = V169167 - 1. assign V220980 = V036953. assign V596265 = V470471 - 1. assign V184829 = V320428. assign V598893 = V995180 + 1. assign V965546 = 0. assign V886768 = V653131 - 1. assign V569794 = V123903 - 1. assign V968294 = V555417 - 1. assign V554211 = V541871. assign V981855 = V602823. assign V718555 = V870850 + 1. assign V887116 = V263298 - 1. assign V541871 = V555417 - 1. assign V419715 = V555417 - 1. assign V263298 = V267665 + 1. assign V364620 = V965546 + 1. assign V320428 = V220980 - 1. assign V669830 = V220980. assign V036953 = V995180 + 1. assign V073526 = V602823 - 1. assign V904190 = V893415 + 1. assign V134051 = V167848 + 1. assign V887625 = V501845. assign V499079 = V368847 - 1. assign V602823 = V572036 - 1. assign V881080 = V653131 + 1. assign V821443 = V619506 - 1. assign V996521 = V881080. assign V639242 = V550439 - 1. assign V470471 = V368847 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V439333 = V217763. assign V832329 = V320428. assign V854559 = V300396 + 1. assign V243843 = V833726. assign V123903 = V925129 - 1. assign V868071 = V320428 - 1. assign V772906 = V374772 + 1. assign V565661 = V446942 - 1. assign V530798 = V470471 + 1. assign V374772 = V995180. assign V178210 = V550439 + 1. assign V503818 = V134051 - 1. assign V572036 = V530798 + 1. assign V718013 = V499079 + 1. assign V925129 = V163286 + 1. assign V434951 = V555417 - 1. assign V555417 = V995180 - 1. assign V300396 = V594033 - 1. assign V169167 = V368847 + 1. assign V619506 = V541871 - 1. assign V501845 = V036953 - 1. assign V594033 = V368847 - 1. assign V986187 = V470471. assign V653131 = V134051 + 1. assign V256519 = V554211 + 1. assign V283098 = V184829 + 1. assign V939189 = V541871. assign V870850 = V434951 + 1. assign V005099 = V470471 + 1. assign V167848 = V220980 + 1. assign V163286 = V833726. assign V532787 = V251478. assign V139954 = V654400. assign V500247 = V619506 + 1. assign V941246 = V385166 + 1. assign V185670 = V881080 + 1. assign V654400 = V868071. assign V805696 = V374772. assign V794716 = V555417 - 1. assign V411735 = V134051. assign V907789 = V594033 + 1. assign V550439 = V821443 + 1. assign V251478 = V320428 - 1. assign V844589 = V565661 - 1. assign V893415 = V868071 + 1. assign V842164 = V981855 + 1. assign V368847 = V036953 + 1. assign V267665 = V881080 + 1. assign V476554 = V243843 - 1. assign V561398 = V995180 + 1. assign V659956 = V572036. assign V833726 = V541871. assign V217763 = V163286 + 1. assign V158876 = V868071 + 1. assign V385166 = V833726 - 1. assign V446942 = V169167 - 1. assign V220980 = V036953. assign V596265 = V470471 - 1. assign V184829 = V320428. assign V598893 = V995180 + 1. assign V965546 = 0. assign V886768 = V653131 - 1. assign V569794 = V123903 - 1. assign V968294 = V555417 - 1. assign V554211 = V541871. assign V981855 = V602823. assign V718555 = V870850 + 1. assign V887116 = V263298 - 1. assign V541871 = V555417 - 1. assign V419715 = V555417 - 1. assign V263298 = V267665 + 1. assign V364620 = V965546 + 1. assign V320428 = V220980 - 1. assign V669830 = V220980. assign V036953 = V995180 + 1. assign V073526 = V602823 - 1. assign V904190 = V893415 + 1. assign V134051 = V167848 + 1. assign V887625 = V501845. assign V499079 = V368847 - 1. assign V602823 = V572036 - 1. assign V881080 = V653131 + 1. assign V821443 = V619506 - 1. assign V996521 = V881080. assign V639242 = V550439 - 1. assign V470471 = V368847 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV965546 = 0;\n\nFrom these direct assignment(s), we have: \nV364620 = V965546 + 1 = 0 + 1 =1;\nNo other variables can be derived from V364620;\nNo other variables can be derived from V965546;\n\nNow we have done all the calculations. Derived variables are:\nV965546 = 0;\nV364620 = 1;\n\nNow we have finished this problem. ANSWER:\nV965546\n", "role": "assistant" } ]

[ "V162849" ]

[ { "content": "<context>\nassign V854063 = V077860 + 1. assign V382867 = V959295 - 1. assign V833773 = V317971. assign V280581 = V171673 - 1. assign V017437 = V260653. assign V457339 = V633465 - 1. assign V733305 = V434501. assign V273318 = V226135 + 1. assign V348806 = V440619 - 1. assign V445289 = V984073. assign V984073 = V854063. assign V538860 = V317971. assign V867613 = V382867. assign V162849 = V367811 + 1. assign V258117 = V667336 + 1. assign V424511 = V854063 - 1. assign V753369 = V749623. assign V562644 = V222370 - 1. assign V343779 = V317971 - 1. assign V968334 = V456412. assign V317971 = V749623. assign V937041 = V867613 - 1. assign V467715 = V810690 - 1. assign V694328 = V733305 - 1. assign V163196 = V397848 + 1. assign V250437 = V633465 + 1. assign V636828 = V382867. assign V434501 = V959295 + 1. assign V034368 = V222370. assign V494866 = V968334 + 1. assign V810690 = V077860 + 1. assign V288714 = V470705 - 1. assign V791767 = V288714 - 1. assign V959295 = V749623. assign V843487 = V858577 + 1. assign V397848 = V424511 + 1. assign V616738 = V633465 + 1. assign V199204 = V538860 - 1. assign V324180 = V937041 + 1. assign V003810 = V226135 + 1. assign V169858 = V723077. assign V166487 = V343779 + 1. assign V409197 = V288714 + 1. assign V364188 = V749623 + 1. assign V456412 = V937041 - 1. assign V633465 = V317971. assign V295940 = V691713 + 1. assign V581395 = V343779 - 1. assign V255859 = V382867 + 1. assign V044759 = V163196. assign V992110 = V317971 - 1. assign V409551 = V348806. assign V912131 = V440619 + 1. assign V537787 = V720959. assign V946029 = V720959. assign V171673 = V174109 - 1. assign V723077 = V348806 - 1. assign V260653 = V633465. assign V790459 = V733305. assign V470705 = V984073 + 1. assign V795389 = V581395 - 1. assign V787711 = V470705 + 1. assign V691713 = V753369 + 1. assign V691069 = V255859. assign V165829 = V434501 + 1. assign V367811 = 0. assign V720959 = V333088. assign V788733 = V382867. assign V222370 = V397848. assign V719928 = V843487 + 1. assign V667336 = V382867 + 1. assign V446949 = V787711 + 1. assign V226135 = V382867 - 1. assign V357254 = V324180 - 1. assign V909305 = V424511. assign V083778 = V258117. assign V313816 = V343779. assign V749623 = V854063. assign V858577 = V854063 - 1. assign V311534 = V226135. assign V516953 = V667336 - 1. assign V333088 = V467715 - 1. assign V174109 = V288714 - 1. assign V440619 = V364188 + 1. assign V216719 = V694328 + 1. assign V030375 = V810690 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V854063 = V077860 + 1. assign V382867 = V959295 - 1. assign V833773 = V317971. assign V280581 = V171673 - 1. assign V017437 = V260653. assign V457339 = V633465 - 1. assign V733305 = V434501. assign V273318 = V226135 + 1. assign V348806 = V440619 - 1. assign V445289 = V984073. assign V984073 = V854063. assign V538860 = V317971. assign V867613 = V382867. assign V162849 = V367811 + 1. assign V258117 = V667336 + 1. assign V424511 = V854063 - 1. assign V753369 = V749623. assign V562644 = V222370 - 1. assign V343779 = V317971 - 1. assign V968334 = V456412. assign V317971 = V749623. assign V937041 = V867613 - 1. assign V467715 = V810690 - 1. assign V694328 = V733305 - 1. assign V163196 = V397848 + 1. assign V250437 = V633465 + 1. assign V636828 = V382867. assign V434501 = V959295 + 1. assign V034368 = V222370. assign V494866 = V968334 + 1. assign V810690 = V077860 + 1. assign V288714 = V470705 - 1. assign V791767 = V288714 - 1. assign V959295 = V749623. assign V843487 = V858577 + 1. assign V397848 = V424511 + 1. assign V616738 = V633465 + 1. assign V199204 = V538860 - 1. assign V324180 = V937041 + 1. assign V003810 = V226135 + 1. assign V169858 = V723077. assign V166487 = V343779 + 1. assign V409197 = V288714 + 1. assign V364188 = V749623 + 1. assign V456412 = V937041 - 1. assign V633465 = V317971. assign V295940 = V691713 + 1. assign V581395 = V343779 - 1. assign V255859 = V382867 + 1. assign V044759 = V163196. assign V992110 = V317971 - 1. assign V409551 = V348806. assign V912131 = V440619 + 1. assign V537787 = V720959. assign V946029 = V720959. assign V171673 = V174109 - 1. assign V723077 = V348806 - 1. assign V260653 = V633465. assign V790459 = V733305. assign V470705 = V984073 + 1. assign V795389 = V581395 - 1. assign V787711 = V470705 + 1. assign V691713 = V753369 + 1. assign V691069 = V255859. assign V165829 = V434501 + 1. assign V367811 = 0. assign V720959 = V333088. assign V788733 = V382867. assign V222370 = V397848. assign V719928 = V843487 + 1. assign V667336 = V382867 + 1. assign V446949 = V787711 + 1. assign V226135 = V382867 - 1. assign V357254 = V324180 - 1. assign V909305 = V424511. assign V083778 = V258117. assign V313816 = V343779. assign V749623 = V854063. assign V858577 = V854063 - 1. assign V311534 = V226135. assign V516953 = V667336 - 1. assign V333088 = V467715 - 1. assign V174109 = V288714 - 1. assign V440619 = V364188 + 1. assign V216719 = V694328 + 1. assign V030375 = V810690 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV367811 = 0;\n\nFrom these direct assignment(s), we have: \nV162849 = V367811 + 1 = 0 + 1 =1;\nNo other variables can be derived from V162849;\nNo other variables can be derived from V367811;\n\nNow we have done all the calculations. Derived variables are:\nV367811 = 0;\nV162849 = 1;\n\nNow we have finished this problem. ANSWER:\nV162849\n", "role": "assistant" } ]

[ "V284185" ]

[ { "content": "<context>\nassign V976779 = V784416 + 1. assign V557372 = V216721 + 1. assign V116824 = V782488. assign V487991 = V784188 - 1. assign V166630 = V170591 - 1. assign V775914 = V518803 + 1. assign V782488 = V027735 + 1. assign V011884 = V922655. assign V284185 = 2. assign V340867 = V352266 - 1. assign V598237 = V961775 + 1. assign V901191 = V116824. assign V042899 = V518803. assign V902960 = V544918 + 1. assign V657129 = V027735 + 1. assign V412707 = V346638 - 1. assign V506785 = V497008 + 1. assign V793487 = V958137. assign V014768 = V370486 - 1. assign V003551 = V782488 + 1. assign V176712 = V352266 - 1. assign V170591 = V306597 + 1. assign V931425 = V518803 - 1. assign V006347 = V938149 - 1. assign V784188 = V112385 - 1. assign V900987 = V657129. assign V938149 = V793487 - 1. assign V784416 = V922655 + 1. assign V437504 = V431593 - 1. assign V408911 = V382182 + 1. assign V352266 = V896117. assign V396983 = V721004 + 1. assign V596954 = V793487 + 1. assign V870262 = V486430 - 1. assign V351599 = V870262 - 1. assign V275372 = V263803 - 1. assign V382182 = V870818. assign V283499 = V767537 + 1. assign V370486 = V784416 - 1. assign V346638 = V486430 + 1. assign V544918 = V049614. assign V413914 = V734976 - 1. assign V642252 = V284185 + 1. assign V922655 = V870818 - 1. assign V322086 = V734976 - 1. assign V924104 = V011884 + 1. assign V619901 = V275372 + 1. assign V767537 = V784188 + 1. assign V819973 = V431593 + 1. assign V202670 = V657129 - 1. assign V049614 = V351599 + 1. assign V686591 = V924104 + 1. assign V721004 = V216721. assign V263803 = V870818 + 1. assign V891013 = V793487 - 1. assign V216721 = V870818 + 1. assign V776316 = V657129. assign V613415 = V049614. assign V972701 = V216721 - 1. assign V112385 = V413914 - 1. assign V431593 = V896117 + 1. assign V753841 = V396983 + 1. assign V896117 = V170591 - 1. assign V870818 = V027735 - 1. assign V314973 = V346638. assign V486430 = V027735. assign V825453 = V544918. assign V518803 = V922655. assign V487952 = V972701 + 1. assign V479942 = V793487 - 1. assign V305281 = V900987 + 1. assign V731840 = V657129 + 1. assign V961775 = V492597 - 1. assign V734976 = V896117 + 1. assign V187078 = V782488 - 1. assign V504778 = V486430 - 1. assign V740324 = V351599. assign V492597 = V486430. assign V068085 = V767537 + 1. assign V049957 = V011884. assign V807899 = V924104 - 1. assign V046060 = V112385 - 1. assign V237066 = V504778 - 1. assign V306597 = V870262 - 1. assign V958137 = V870262 - 1. assign V497008 = V314973 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V976779 = V784416 + 1. assign V557372 = V216721 + 1. assign V116824 = V782488. assign V487991 = V784188 - 1. assign V166630 = V170591 - 1. assign V775914 = V518803 + 1. assign V782488 = V027735 + 1. assign V011884 = V922655. assign V284185 = 2. assign V340867 = V352266 - 1. assign V598237 = V961775 + 1. assign V901191 = V116824. assign V042899 = V518803. assign V902960 = V544918 + 1. assign V657129 = V027735 + 1. assign V412707 = V346638 - 1. assign V506785 = V497008 + 1. assign V793487 = V958137. assign V014768 = V370486 - 1. assign V003551 = V782488 + 1. assign V176712 = V352266 - 1. assign V170591 = V306597 + 1. assign V931425 = V518803 - 1. assign V006347 = V938149 - 1. assign V784188 = V112385 - 1. assign V900987 = V657129. assign V938149 = V793487 - 1. assign V784416 = V922655 + 1. assign V437504 = V431593 - 1. assign V408911 = V382182 + 1. assign V352266 = V896117. assign V396983 = V721004 + 1. assign V596954 = V793487 + 1. assign V870262 = V486430 - 1. assign V351599 = V870262 - 1. assign V275372 = V263803 - 1. assign V382182 = V870818. assign V283499 = V767537 + 1. assign V370486 = V784416 - 1. assign V346638 = V486430 + 1. assign V544918 = V049614. assign V413914 = V734976 - 1. assign V642252 = V284185 + 1. assign V922655 = V870818 - 1. assign V322086 = V734976 - 1. assign V924104 = V011884 + 1. assign V619901 = V275372 + 1. assign V767537 = V784188 + 1. assign V819973 = V431593 + 1. assign V202670 = V657129 - 1. assign V049614 = V351599 + 1. assign V686591 = V924104 + 1. assign V721004 = V216721. assign V263803 = V870818 + 1. assign V891013 = V793487 - 1. assign V216721 = V870818 + 1. assign V776316 = V657129. assign V613415 = V049614. assign V972701 = V216721 - 1. assign V112385 = V413914 - 1. assign V431593 = V896117 + 1. assign V753841 = V396983 + 1. assign V896117 = V170591 - 1. assign V870818 = V027735 - 1. assign V314973 = V346638. assign V486430 = V027735. assign V825453 = V544918. assign V518803 = V922655. assign V487952 = V972701 + 1. assign V479942 = V793487 - 1. assign V305281 = V900987 + 1. assign V731840 = V657129 + 1. assign V961775 = V492597 - 1. assign V734976 = V896117 + 1. assign V187078 = V782488 - 1. assign V504778 = V486430 - 1. assign V740324 = V351599. assign V492597 = V486430. assign V068085 = V767537 + 1. assign V049957 = V011884. assign V807899 = V924104 - 1. assign V046060 = V112385 - 1. assign V237066 = V504778 - 1. assign V306597 = V870262 - 1. assign V958137 = V870262 - 1. assign V497008 = V314973 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV284185 = 2;\n\nFrom these direct assignment(s), we have: \nV642252 = V284185 + 1 = 2 + 1 =3;\nNo other variables can be derived from V642252;\nNo other variables can be derived from V284185;\n\nNow we have done all the calculations. Derived variables are:\nV284185 = 2;\nV642252 = 3;\n\nNow we have finished this problem. ANSWER:\nV284185\n", "role": "assistant" } ]

[ "V901398", "V405453" ]

[ { "content": "<context>\nassign V113659 = V903005 - 1. assign V702926 = V824412 - 1. assign V793593 = V990732 - 1. assign V848651 = V424781. assign V763529 = V632004 + 1. assign V408799 = V854434. assign V590449 = V632374 + 1. assign V609496 = V469503 - 1. assign V824412 = V069533 - 1. assign V116426 = V100628 + 1. assign V632004 = V069533. assign V469833 = V155971. assign V382577 = V209493 - 1. assign V091330 = V186494 - 1. assign V168718 = V100628 - 1. assign V401330 = V069533 + 1. assign V124463 = V632004 - 1. assign V765978 = V701044 + 1. assign V002986 = V678846 - 1. assign V199388 = V455756 + 1. assign V365230 = V701044 + 1. assign V774810 = V082851. assign V872471 = V347830. assign V975642 = V069533 - 1. assign V927774 = V408799. assign V843319 = V763529 - 1. assign V990732 = V155971 - 1. assign V903005 = V209493. assign V743917 = V542120. assign V209493 = V646437 + 1. assign V766629 = V033212 + 1. assign V333478 = V646437. assign V080931 = V193197 + 1. assign V701044 = V824412 + 1. assign V487063 = V763529. assign V517780 = V990732 + 1. assign V632374 = V763529 - 1. assign V803449 = V678846 - 1. assign V542120 = V209493 + 1. assign V405453 = V901398. assign V433525 = V565661 + 1. assign V033212 = V362297. assign V198761 = V424781 - 1. assign V563116 = V177504. assign V979133 = V821127 + 1. assign V404763 = V186494. assign V523095 = V100628 - 1. assign V362297 = V091330 - 1. assign V678846 = V100957 - 1. assign V856268 = V903005 + 1. assign V821127 = V209493. assign V082851 = V469503 + 1. assign V894569 = V854434 - 1. assign V079410 = V894569 - 1. assign V165573 = V362297 + 1. assign V897365 = V002986. assign V042391 = V609496 - 1. assign V784093 = V609496 - 1. assign V704740 = V927774 - 1. assign V604041 = V082851 + 1. assign V253805 = V408799 + 1. assign V854434 = V347830. assign V455756 = V116426 - 1. assign V424781 = V177504. assign V155971 = V854434. assign V901398 = 8. assign V186494 = V646437 + 1. assign V100957 = V347830. assign V469503 = V347830 - 1. assign V631048 = V198761. assign V373829 = V631048 - 1. assign V565661 = V347830. assign V193197 = V401330. assign V369454 = V824412 - 1. assign V069533 = V347830 - 1. assign V965618 = V990732 + 1. assign V222857 = V821127 + 1. assign V646437 = V100957 + 1. assign V220000 = V702926 - 1. assign V156404 = V116426 - 1. assign V100628 = V894569. assign V085407 = V975642 - 1. assign V681585 = V116426. assign V412975 = V678846. assign V177504 = V347830. assign V598153 = V177504 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V113659 = V903005 - 1. assign V702926 = V824412 - 1. assign V793593 = V990732 - 1. assign V848651 = V424781. assign V763529 = V632004 + 1. assign V408799 = V854434. assign V590449 = V632374 + 1. assign V609496 = V469503 - 1. assign V824412 = V069533 - 1. assign V116426 = V100628 + 1. assign V632004 = V069533. assign V469833 = V155971. assign V382577 = V209493 - 1. assign V091330 = V186494 - 1. assign V168718 = V100628 - 1. assign V401330 = V069533 + 1. assign V124463 = V632004 - 1. assign V765978 = V701044 + 1. assign V002986 = V678846 - 1. assign V199388 = V455756 + 1. assign V365230 = V701044 + 1. assign V774810 = V082851. assign V872471 = V347830. assign V975642 = V069533 - 1. assign V927774 = V408799. assign V843319 = V763529 - 1. assign V990732 = V155971 - 1. assign V903005 = V209493. assign V743917 = V542120. assign V209493 = V646437 + 1. assign V766629 = V033212 + 1. assign V333478 = V646437. assign V080931 = V193197 + 1. assign V701044 = V824412 + 1. assign V487063 = V763529. assign V517780 = V990732 + 1. assign V632374 = V763529 - 1. assign V803449 = V678846 - 1. assign V542120 = V209493 + 1. assign V405453 = V901398. assign V433525 = V565661 + 1. assign V033212 = V362297. assign V198761 = V424781 - 1. assign V563116 = V177504. assign V979133 = V821127 + 1. assign V404763 = V186494. assign V523095 = V100628 - 1. assign V362297 = V091330 - 1. assign V678846 = V100957 - 1. assign V856268 = V903005 + 1. assign V821127 = V209493. assign V082851 = V469503 + 1. assign V894569 = V854434 - 1. assign V079410 = V894569 - 1. assign V165573 = V362297 + 1. assign V897365 = V002986. assign V042391 = V609496 - 1. assign V784093 = V609496 - 1. assign V704740 = V927774 - 1. assign V604041 = V082851 + 1. assign V253805 = V408799 + 1. assign V854434 = V347830. assign V455756 = V116426 - 1. assign V424781 = V177504. assign V155971 = V854434. assign V901398 = 8. assign V186494 = V646437 + 1. assign V100957 = V347830. assign V469503 = V347830 - 1. assign V631048 = V198761. assign V373829 = V631048 - 1. assign V565661 = V347830. assign V193197 = V401330. assign V369454 = V824412 - 1. assign V069533 = V347830 - 1. assign V965618 = V990732 + 1. assign V222857 = V821127 + 1. assign V646437 = V100957 + 1. assign V220000 = V702926 - 1. assign V156404 = V116426 - 1. assign V100628 = V894569. assign V085407 = V975642 - 1. assign V681585 = V116426. assign V412975 = V678846. assign V177504 = V347830. assign V598153 = V177504 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV901398 = 8;\n\nFrom these direct assignment(s), we have: \nV405453 = V901398 = 8;\nNo other variables can be derived from V405453;\nNo other variables can be derived from V901398;\n\nNow we have done all the calculations. Derived variables are:\nV901398 = 8;\nV405453 = 8;\n\nNow we have finished this problem. ANSWER:\nV901398, V405453\n", "role": "assistant" } ]

[ "V142653" ]

[ { "content": "<context>\nassign V498089 = V741704. assign V427561 = V662907 - 1. assign V400807 = V662907. assign V517286 = V315363 + 1. assign V146755 = V656122. assign V942257 = V153494 - 1. assign V900840 = V146755. assign V774867 = V273850 - 1. assign V413874 = 7. assign V153494 = V375159 + 1. assign V666720 = V004706. assign V005221 = V400807 + 1. assign V844294 = V678736 + 1. assign V997293 = V083994 - 1. assign V727649 = V662907 + 1. assign V048614 = V083994 - 1. assign V206382 = V005221. assign V083994 = V662907 - 1. assign V375159 = V844294 - 1. assign V031792 = V552088 - 1. assign V741704 = V273850 + 1. assign V525472 = V662907 - 1. assign V395323 = V552088 + 1. assign V351694 = V146755 + 1. assign V330169 = V083994. assign V586667 = V302204. assign V993880 = V273850 + 1. assign V697859 = V904680. assign V185662 = V269442 - 1. assign V812653 = V741704. assign V529300 = V005221 - 1. assign V603233 = V400807 + 1. assign V822915 = V031792 - 1. assign V954634 = V812653 - 1. assign V116576 = V586667. assign V071837 = V572911 - 1. assign V572911 = V997293. assign V562249 = V083994 - 1. assign V167993 = V546292. assign V226266 = V774867 + 1. assign V302204 = V678736. assign V763157 = V427561 - 1. assign V673681 = V586667 - 1. assign V315363 = V153494 - 1. assign V838338 = V662907 - 1. assign V004706 = V586667 - 1. assign V656122 = V662907 + 1. assign V807963 = V333368. assign V958556 = V666720. assign V546292 = V273850 + 1. assign V552088 = V273850 + 1. assign V048671 = V635142. assign V781644 = V603175 - 1. assign V207718 = V185662 + 1. assign V603175 = V807963 + 1. assign V529421 = V153494. assign V904680 = V562249 + 1. assign V194294 = V208642 + 1. assign V947902 = V269442 - 1. assign V362789 = V844294. assign V269442 = V302204. assign V987172 = V741704 + 1. assign V666721 = V572911 - 1. assign V401078 = V900840. assign V635142 = V167993 + 1. assign V273850 = V997293 - 1. assign V924233 = V273850. assign V994914 = V185662 + 1. assign V560558 = V401078 + 1. assign V888890 = V048614 + 1. assign V584964 = V957492. assign V136993 = V365840 + 1. assign V667331 = V562249 + 1. assign V756363 = V822915. assign V333368 = V997293. assign V208642 = V552088 - 1. assign V365840 = V741704 + 1. assign V269904 = V993880 + 1. assign V142653 = V413874 + 1. assign V074280 = V004706 + 1. assign V662907 = V678736 - 1. assign V265571 = V807963. assign V937487 = V315363. assign V957492 = V375159. assign V494006 = V351694. assign V348388 = V586667 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V498089 = V741704. assign V427561 = V662907 - 1. assign V400807 = V662907. assign V517286 = V315363 + 1. assign V146755 = V656122. assign V942257 = V153494 - 1. assign V900840 = V146755. assign V774867 = V273850 - 1. assign V413874 = 7. assign V153494 = V375159 + 1. assign V666720 = V004706. assign V005221 = V400807 + 1. assign V844294 = V678736 + 1. assign V997293 = V083994 - 1. assign V727649 = V662907 + 1. assign V048614 = V083994 - 1. assign V206382 = V005221. assign V083994 = V662907 - 1. assign V375159 = V844294 - 1. assign V031792 = V552088 - 1. assign V741704 = V273850 + 1. assign V525472 = V662907 - 1. assign V395323 = V552088 + 1. assign V351694 = V146755 + 1. assign V330169 = V083994. assign V586667 = V302204. assign V993880 = V273850 + 1. assign V697859 = V904680. assign V185662 = V269442 - 1. assign V812653 = V741704. assign V529300 = V005221 - 1. assign V603233 = V400807 + 1. assign V822915 = V031792 - 1. assign V954634 = V812653 - 1. assign V116576 = V586667. assign V071837 = V572911 - 1. assign V572911 = V997293. assign V562249 = V083994 - 1. assign V167993 = V546292. assign V226266 = V774867 + 1. assign V302204 = V678736. assign V763157 = V427561 - 1. assign V673681 = V586667 - 1. assign V315363 = V153494 - 1. assign V838338 = V662907 - 1. assign V004706 = V586667 - 1. assign V656122 = V662907 + 1. assign V807963 = V333368. assign V958556 = V666720. assign V546292 = V273850 + 1. assign V552088 = V273850 + 1. assign V048671 = V635142. assign V781644 = V603175 - 1. assign V207718 = V185662 + 1. assign V603175 = V807963 + 1. assign V529421 = V153494. assign V904680 = V562249 + 1. assign V194294 = V208642 + 1. assign V947902 = V269442 - 1. assign V362789 = V844294. assign V269442 = V302204. assign V987172 = V741704 + 1. assign V666721 = V572911 - 1. assign V401078 = V900840. assign V635142 = V167993 + 1. assign V273850 = V997293 - 1. assign V924233 = V273850. assign V994914 = V185662 + 1. assign V560558 = V401078 + 1. assign V888890 = V048614 + 1. assign V584964 = V957492. assign V136993 = V365840 + 1. assign V667331 = V562249 + 1. assign V756363 = V822915. assign V333368 = V997293. assign V208642 = V552088 - 1. assign V365840 = V741704 + 1. assign V269904 = V993880 + 1. assign V142653 = V413874 + 1. assign V074280 = V004706 + 1. assign V662907 = V678736 - 1. assign V265571 = V807963. assign V937487 = V315363. assign V957492 = V375159. assign V494006 = V351694. assign V348388 = V586667 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV413874 = 7;\n\nFrom these direct assignment(s), we have: \nV142653 = V413874 + 1 = 7 + 1 =8;\nNo other variables can be derived from V142653;\nNo other variables can be derived from V413874;\n\nNow we have done all the calculations. Derived variables are:\nV413874 = 7;\nV142653 = 8;\n\nNow we have finished this problem. ANSWER:\nV142653\n", "role": "assistant" } ]

[ "V109743", "V871201" ]

[ { "content": "<context>\nassign V958253 = V605583 - 1. assign V478537 = V699146. assign V560198 = V900779. assign V920547 = V969895 + 1. assign V735148 = V958253 - 1. assign V184260 = V446914 - 1. assign V516725 = V323272. assign V355492 = V785071. assign V090169 = V292311. assign V132762 = V764736. assign V704568 = V132762. assign V364661 = V197610 - 1. assign V225024 = V053418 - 1. assign V730861 = V785071. assign V605583 = V479165 - 1. assign V133206 = V605583 + 1. assign V116098 = V739845. assign V467472 = V446914 + 1. assign V323272 = V735148 - 1. assign V100736 = V272702 - 1. assign V184233 = V025141 + 1. assign V105556 = V025141 + 1. assign V739845 = V785071 - 1. assign V785071 = V958253 - 1. assign V438438 = V605583. assign V080973 = V279582. assign V533788 = V197610 - 1. assign V913908 = V605583 + 1. assign V854966 = V920547 + 1. assign V940400 = V941978 - 1. assign V025141 = V785071 + 1. assign V509541 = V292311 + 1. assign V446914 = V958253 + 1. assign V999065 = V080973 + 1. assign V626015 = V364028 - 1. assign V088480 = V605583. assign V109743 = 1. assign V144945 = V197610 - 1. assign V487636 = V605583 - 1. assign V527422 = V686939 - 1. assign V292311 = V467472. assign V313295 = V133206 - 1. assign V033308 = V364028 - 1. assign V686939 = V900779 + 1. assign V066846 = V366729 + 1. assign V366729 = V197610 - 1. assign V003616 = V479165. assign V303477 = V940400 - 1. assign V844789 = V292311 + 1. assign V874846 = V941978 + 1. assign V969895 = V355492 - 1. assign V415093 = V699146. assign V994346 = V177474 + 1. assign V197610 = V958253. assign V801530 = V329662 + 1. assign V272702 = V626015 + 1. assign V053418 = V292311 + 1. assign V169190 = V801530 - 1. assign V924091 = V323272 + 1. assign V497001 = V197610. assign V582083 = V025141 + 1. assign V263741 = V133206. assign V576919 = V844789 + 1. assign V699146 = V272702 + 1. assign V061219 = V025141 - 1. assign V900779 = V133206. assign V752012 = V958253. assign V364028 = V958253 - 1. assign V710782 = V061219. assign V763888 = V088480 + 1. assign V764736 = V133206. assign V654404 = V292311 + 1. assign V329662 = V735148 - 1. assign V177474 = V033308. assign V540047 = V527422. assign V941978 = V105556. assign V617395 = V509541. assign V947400 = V090169 - 1. assign V432043 = V560198. assign V474360 = V913908 + 1. assign V942834 = V576919 - 1. assign V871201 = V109743. assign V279582 = V003616 + 1. assign V236020 = V739845. assign V174883 = V785071 + 1. assign V417314 = V080973 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V958253 = V605583 - 1. assign V478537 = V699146. assign V560198 = V900779. assign V920547 = V969895 + 1. assign V735148 = V958253 - 1. assign V184260 = V446914 - 1. assign V516725 = V323272. assign V355492 = V785071. assign V090169 = V292311. assign V132762 = V764736. assign V704568 = V132762. assign V364661 = V197610 - 1. assign V225024 = V053418 - 1. assign V730861 = V785071. assign V605583 = V479165 - 1. assign V133206 = V605583 + 1. assign V116098 = V739845. assign V467472 = V446914 + 1. assign V323272 = V735148 - 1. assign V100736 = V272702 - 1. assign V184233 = V025141 + 1. assign V105556 = V025141 + 1. assign V739845 = V785071 - 1. assign V785071 = V958253 - 1. assign V438438 = V605583. assign V080973 = V279582. assign V533788 = V197610 - 1. assign V913908 = V605583 + 1. assign V854966 = V920547 + 1. assign V940400 = V941978 - 1. assign V025141 = V785071 + 1. assign V509541 = V292311 + 1. assign V446914 = V958253 + 1. assign V999065 = V080973 + 1. assign V626015 = V364028 - 1. assign V088480 = V605583. assign V109743 = 1. assign V144945 = V197610 - 1. assign V487636 = V605583 - 1. assign V527422 = V686939 - 1. assign V292311 = V467472. assign V313295 = V133206 - 1. assign V033308 = V364028 - 1. assign V686939 = V900779 + 1. assign V066846 = V366729 + 1. assign V366729 = V197610 - 1. assign V003616 = V479165. assign V303477 = V940400 - 1. assign V844789 = V292311 + 1. assign V874846 = V941978 + 1. assign V969895 = V355492 - 1. assign V415093 = V699146. assign V994346 = V177474 + 1. assign V197610 = V958253. assign V801530 = V329662 + 1. assign V272702 = V626015 + 1. assign V053418 = V292311 + 1. assign V169190 = V801530 - 1. assign V924091 = V323272 + 1. assign V497001 = V197610. assign V582083 = V025141 + 1. assign V263741 = V133206. assign V576919 = V844789 + 1. assign V699146 = V272702 + 1. assign V061219 = V025141 - 1. assign V900779 = V133206. assign V752012 = V958253. assign V364028 = V958253 - 1. assign V710782 = V061219. assign V763888 = V088480 + 1. assign V764736 = V133206. assign V654404 = V292311 + 1. assign V329662 = V735148 - 1. assign V177474 = V033308. assign V540047 = V527422. assign V941978 = V105556. assign V617395 = V509541. assign V947400 = V090169 - 1. assign V432043 = V560198. assign V474360 = V913908 + 1. assign V942834 = V576919 - 1. assign V871201 = V109743. assign V279582 = V003616 + 1. assign V236020 = V739845. assign V174883 = V785071 + 1. assign V417314 = V080973 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV109743 = 1;\n\nFrom these direct assignment(s), we have: \nV871201 = V109743 = 1;\nNo other variables can be derived from V871201;\nNo other variables can be derived from V109743;\n\nNow we have done all the calculations. Derived variables are:\nV109743 = 1;\nV871201 = 1;\n\nNow we have finished this problem. ANSWER:\nV109743, V871201\n", "role": "assistant" } ]

[ "V426841" ]

[ { "content": "<context>\nassign V248007 = V334030 + 1. assign V097036 = V809610. assign V877926 = V463353 - 1. assign V817056 = V119773 + 1. assign V655282 = V267047. assign V558183 = V638237. assign V850364 = V749423. assign V574524 = V188100 + 1. assign V396721 = V267047. assign V445639 = V493681 + 1. assign V887476 = V267047 - 1. assign V882576 = V415657 + 1. assign V549437 = V445639 - 1. assign V102393 = V562658 - 1. assign V130555 = V507243. assign V972199 = V629690. assign V463353 = V575037. assign V286906 = V311113 + 1. assign V977689 = V130555. assign V493681 = V349162 + 1. assign V311113 = V614773 + 1. assign V749423 = V614773 - 1. assign V816784 = V972199 + 1. assign V854106 = V177575 - 1. assign V999338 = V694724. assign V334030 = V571172. assign V786048 = V864028. assign V725917 = V575037. assign V932800 = V402882. assign V349162 = V571172. assign V387671 = V157484. assign V219157 = V924075. assign V374038 = V157484. assign V507243 = V594646 + 1. assign V733406 = V267047 + 1. assign V922921 = V850364. assign V116594 = V872871 - 1. assign V629690 = V311113 - 1. assign V872871 = V696483 + 1. assign V119773 = V733406. assign V696483 = V248007 - 1. assign V961000 = V696483. assign V839774 = V267047 + 1. assign V177575 = V267047. assign V218762 = V645650. assign V829919 = V924075 + 1. assign V663729 = V374038 + 1. assign V743512 = V614773 - 1. assign V575037 = V571172 - 1. assign V562658 = V349162 - 1. assign V223566 = V827172 + 1. assign V253618 = V130555 + 1. assign V864028 = V349162 - 1. assign V826999 = V119773 + 1. assign V691569 = V445639. assign V869163 = V829919 - 1. assign V809610 = V177575 + 1. assign V612227 = V374038 + 1. assign V133301 = V374038. assign V157484 = V433893. assign V614773 = V571172 + 1. assign V049413 = V924075 + 1. assign V249405 = V396721 - 1. assign V023376 = V097036 - 1. assign V267047 = V433893 - 1. assign V415657 = V571172 + 1. assign V694724 = V867898 + 1. assign V827172 = V571172 - 1. assign V867898 = V433893 + 1. assign V924075 = V867898. assign V932220 = V375765 - 1. assign V958543 = V725917 - 1. assign V594646 = V733406 + 1. assign V006539 = V387671 - 1. assign V426841 = V906128 - 1. assign V645650 = V571172. assign V769562 = V493681 + 1. assign V595515 = V571172. assign V433893 = V571172. assign V188100 = V116594. assign V906128 = 10. assign V726698 = V006539 - 1. assign V638237 = V872871 - 1. assign V402882 = V645650. assign V931407 = V571172. assign V375765 = V177575 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V248007 = V334030 + 1. assign V097036 = V809610. assign V877926 = V463353 - 1. assign V817056 = V119773 + 1. assign V655282 = V267047. assign V558183 = V638237. assign V850364 = V749423. assign V574524 = V188100 + 1. assign V396721 = V267047. assign V445639 = V493681 + 1. assign V887476 = V267047 - 1. assign V882576 = V415657 + 1. assign V549437 = V445639 - 1. assign V102393 = V562658 - 1. assign V130555 = V507243. assign V972199 = V629690. assign V463353 = V575037. assign V286906 = V311113 + 1. assign V977689 = V130555. assign V493681 = V349162 + 1. assign V311113 = V614773 + 1. assign V749423 = V614773 - 1. assign V816784 = V972199 + 1. assign V854106 = V177575 - 1. assign V999338 = V694724. assign V334030 = V571172. assign V786048 = V864028. assign V725917 = V575037. assign V932800 = V402882. assign V349162 = V571172. assign V387671 = V157484. assign V219157 = V924075. assign V374038 = V157484. assign V507243 = V594646 + 1. assign V733406 = V267047 + 1. assign V922921 = V850364. assign V116594 = V872871 - 1. assign V629690 = V311113 - 1. assign V872871 = V696483 + 1. assign V119773 = V733406. assign V696483 = V248007 - 1. assign V961000 = V696483. assign V839774 = V267047 + 1. assign V177575 = V267047. assign V218762 = V645650. assign V829919 = V924075 + 1. assign V663729 = V374038 + 1. assign V743512 = V614773 - 1. assign V575037 = V571172 - 1. assign V562658 = V349162 - 1. assign V223566 = V827172 + 1. assign V253618 = V130555 + 1. assign V864028 = V349162 - 1. assign V826999 = V119773 + 1. assign V691569 = V445639. assign V869163 = V829919 - 1. assign V809610 = V177575 + 1. assign V612227 = V374038 + 1. assign V133301 = V374038. assign V157484 = V433893. assign V614773 = V571172 + 1. assign V049413 = V924075 + 1. assign V249405 = V396721 - 1. assign V023376 = V097036 - 1. assign V267047 = V433893 - 1. assign V415657 = V571172 + 1. assign V694724 = V867898 + 1. assign V827172 = V571172 - 1. assign V867898 = V433893 + 1. assign V924075 = V867898. assign V932220 = V375765 - 1. assign V958543 = V725917 - 1. assign V594646 = V733406 + 1. assign V006539 = V387671 - 1. assign V426841 = V906128 - 1. assign V645650 = V571172. assign V769562 = V493681 + 1. assign V595515 = V571172. assign V433893 = V571172. assign V188100 = V116594. assign V906128 = 10. assign V726698 = V006539 - 1. assign V638237 = V872871 - 1. assign V402882 = V645650. assign V931407 = V571172. assign V375765 = V177575 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV906128 = 10;\n\nFrom these direct assignment(s), we have: \nV426841 = V906128 - 1 = 10 - 1 =9;\nNo other variables can be derived from V426841;\nNo other variables can be derived from V906128;\n\nNow we have done all the calculations. Derived variables are:\nV906128 = 10;\nV426841 = 9;\n\nNow we have finished this problem. ANSWER:\nV426841\n", "role": "assistant" } ]

[ "V337685", "V361422" ]

[ { "content": "<context>\nassign V628429 = V977873 + 1. assign V233115 = V475494. assign V497277 = V377707 + 1. assign V488166 = V199602 + 1. assign V337685 = 7. assign V107435 = V320083 + 1. assign V602609 = V823232. assign V494921 = V704813 - 1. assign V768413 = V424377 - 1. assign V375808 = V233115 - 1. assign V726651 = V728347 - 1. assign V403540 = V914031 + 1. assign V914031 = V983355 - 1. assign V137822 = V375808 + 1. assign V774445 = V424377. assign V641995 = V876114. assign V672269 = V774445 - 1. assign V084118 = V424377 + 1. assign V859460 = V047374. assign V093365 = V686197 + 1. assign V810604 = V137822 - 1. assign V335198 = V375808 + 1. assign V273757 = V283959 + 1. assign V566384 = V273757 + 1. assign V320083 = V335198 - 1. assign V528598 = V768413 - 1. assign V298788 = V704355 - 1. assign V391020 = V283959 - 1. assign V828514 = V976108 + 1. assign V198318 = V728347. assign V273981 = V152093. assign V157554 = V199602. assign V236439 = V828514. assign V686197 = V233115. assign V701957 = V152093. assign V704813 = V976108 - 1. assign V058767 = V823232. assign V983355 = V283464 - 1. assign V675278 = V528598 - 1. assign V521785 = V089279 - 1. assign V834831 = V768413 + 1. assign V102538 = V521785 - 1. assign V361422 = V337685. assign V727948 = V283464. assign V161299 = V828514. assign V778077 = V273757 + 1. assign V996854 = V273757 - 1. assign V823232 = V198318 - 1. assign V152093 = V089279 + 1. assign V283464 = V828514 - 1. assign V849275 = V273757 + 1. assign V021084 = V528598 + 1. assign V909244 = V058767 - 1. assign V976108 = V424377 + 1. assign V977873 = V199602 + 1. assign V405896 = V768413 + 1. assign V876114 = V701957 + 1. assign V815343 = V612409 + 1. assign V929691 = V236439. assign V711963 = V977873. assign V799572 = V976108 + 1. assign V199602 = V475494 - 1. assign V377707 = V774445 - 1. assign V114460 = V183963. assign V694973 = V137822 - 1. assign V424377 = V199602. assign V532294 = V183963 + 1. assign V047374 = V996854 + 1. assign V759190 = V273757. assign V012960 = V084118. assign V380853 = V233115 + 1. assign V283959 = V475494 + 1. assign V782866 = V161299 + 1. assign V728347 = V377707 - 1. assign V493254 = V047374. assign V002717 = V403540. assign V504658 = V157554. assign V244011 = V810604 + 1. assign V532216 = V612409 - 1. assign V612409 = V377707. assign V662036 = V686197 - 1. assign V174918 = V475494 - 1. assign V183963 = V377707. assign V816859 = V107435. assign V089279 = V983355 - 1. assign V704355 = V774445.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V628429 = V977873 + 1. assign V233115 = V475494. assign V497277 = V377707 + 1. assign V488166 = V199602 + 1. assign V337685 = 7. assign V107435 = V320083 + 1. assign V602609 = V823232. assign V494921 = V704813 - 1. assign V768413 = V424377 - 1. assign V375808 = V233115 - 1. assign V726651 = V728347 - 1. assign V403540 = V914031 + 1. assign V914031 = V983355 - 1. assign V137822 = V375808 + 1. assign V774445 = V424377. assign V641995 = V876114. assign V672269 = V774445 - 1. assign V084118 = V424377 + 1. assign V859460 = V047374. assign V093365 = V686197 + 1. assign V810604 = V137822 - 1. assign V335198 = V375808 + 1. assign V273757 = V283959 + 1. assign V566384 = V273757 + 1. assign V320083 = V335198 - 1. assign V528598 = V768413 - 1. assign V298788 = V704355 - 1. assign V391020 = V283959 - 1. assign V828514 = V976108 + 1. assign V198318 = V728347. assign V273981 = V152093. assign V157554 = V199602. assign V236439 = V828514. assign V686197 = V233115. assign V701957 = V152093. assign V704813 = V976108 - 1. assign V058767 = V823232. assign V983355 = V283464 - 1. assign V675278 = V528598 - 1. assign V521785 = V089279 - 1. assign V834831 = V768413 + 1. assign V102538 = V521785 - 1. assign V361422 = V337685. assign V727948 = V283464. assign V161299 = V828514. assign V778077 = V273757 + 1. assign V996854 = V273757 - 1. assign V823232 = V198318 - 1. assign V152093 = V089279 + 1. assign V283464 = V828514 - 1. assign V849275 = V273757 + 1. assign V021084 = V528598 + 1. assign V909244 = V058767 - 1. assign V976108 = V424377 + 1. assign V977873 = V199602 + 1. assign V405896 = V768413 + 1. assign V876114 = V701957 + 1. assign V815343 = V612409 + 1. assign V929691 = V236439. assign V711963 = V977873. assign V799572 = V976108 + 1. assign V199602 = V475494 - 1. assign V377707 = V774445 - 1. assign V114460 = V183963. assign V694973 = V137822 - 1. assign V424377 = V199602. assign V532294 = V183963 + 1. assign V047374 = V996854 + 1. assign V759190 = V273757. assign V012960 = V084118. assign V380853 = V233115 + 1. assign V283959 = V475494 + 1. assign V782866 = V161299 + 1. assign V728347 = V377707 - 1. assign V493254 = V047374. assign V002717 = V403540. assign V504658 = V157554. assign V244011 = V810604 + 1. assign V532216 = V612409 - 1. assign V612409 = V377707. assign V662036 = V686197 - 1. assign V174918 = V475494 - 1. assign V183963 = V377707. assign V816859 = V107435. assign V089279 = V983355 - 1. assign V704355 = V774445.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV337685 = 7;\n\nFrom these direct assignment(s), we have: \nV361422 = V337685 = 7;\nNo other variables can be derived from V361422;\nNo other variables can be derived from V337685;\n\nNow we have done all the calculations. Derived variables are:\nV337685 = 7;\nV361422 = 7;\n\nNow we have finished this problem. ANSWER:\nV337685, V361422\n", "role": "assistant" } ]

[ "V614484", "V773637" ]

[ { "content": "<context>\nassign V003587 = V525957 - 1. assign V591878 = V991762. assign V177704 = V039848 + 1. assign V859852 = V641375. assign V633133 = V991762 - 1. assign V977535 = V324041. assign V811539 = V463333 - 1. assign V219829 = V227355 - 1. assign V189004 = V012841. assign V488245 = V219829. assign V227355 = V003587. assign V664417 = V828855 + 1. assign V367347 = V488245. assign V599321 = V039944. assign V641375 = V227355 - 1. assign V619213 = V991762 - 1. assign V324041 = V928308. assign V976475 = V878713 - 1. assign V849951 = V227355. assign V039848 = V219829. assign V182261 = V039944 + 1. assign V851961 = V415973. assign V576529 = V289617 - 1. assign V991762 = V367347 - 1. assign V390335 = V733681. assign V463333 = V223204 - 1. assign V905216 = V396416 - 1. assign V572298 = V227355 + 1. assign V335581 = V733681 + 1. assign V362227 = V448192 - 1. assign V580347 = V878713 + 1. assign V617498 = V182261 + 1. assign V694869 = V952527 + 1. assign V086638 = V932440 + 1. assign V396416 = V849951 - 1. assign V525957 = V474519 + 1. assign V088555 = V039944 - 1. assign V220857 = V278413 + 1. assign V928117 = V849951. assign V563148 = V003587 - 1. assign V448192 = V039944 + 1. assign V794116 = V033570 + 1. assign V994248 = V223204 - 1. assign V977043 = V600937. assign V415973 = V474519 + 1. assign V932440 = V840730 + 1. assign V816374 = V463333. assign V039944 = V474519 - 1. assign V407973 = V033570 - 1. assign V840730 = V928117 - 1. assign V280095 = V840730 + 1. assign V200942 = V302198. assign V133430 = V977043 + 1. assign V582801 = V219829. assign V945478 = V175746 - 1. assign V952527 = V576529 + 1. assign V071693 = V994248 + 1. assign V302198 = V177704 - 1. assign V488326 = V289617 - 1. assign V979943 = V619213 - 1. assign V205337 = V367347. assign V012841 = V039944. assign V762144 = V733681 + 1. assign V701095 = V289617. assign V928308 = V576529. assign V760349 = V828855 + 1. assign V878713 = V828855 + 1. assign V175746 = V762144 + 1. assign V647177 = V851961 - 1. assign V223204 = V474519 - 1. assign V473624 = V039944. assign V614484 = 3. assign V537446 = V928308 + 1. assign V600937 = V474519 + 1. assign V773637 = V614484. assign V033570 = V488245. assign V334201 = V474519. assign V278413 = V003587 + 1. assign V049499 = V003587 - 1. assign V463502 = V324041 + 1. assign V733681 = V448192. assign V571935 = V039848 - 1. assign V955365 = V175746. assign V828855 = V474519 - 1. assign V038171 = V878713 + 1. assign V289617 = V227355.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V003587 = V525957 - 1. assign V591878 = V991762. assign V177704 = V039848 + 1. assign V859852 = V641375. assign V633133 = V991762 - 1. assign V977535 = V324041. assign V811539 = V463333 - 1. assign V219829 = V227355 - 1. assign V189004 = V012841. assign V488245 = V219829. assign V227355 = V003587. assign V664417 = V828855 + 1. assign V367347 = V488245. assign V599321 = V039944. assign V641375 = V227355 - 1. assign V619213 = V991762 - 1. assign V324041 = V928308. assign V976475 = V878713 - 1. assign V849951 = V227355. assign V039848 = V219829. assign V182261 = V039944 + 1. assign V851961 = V415973. assign V576529 = V289617 - 1. assign V991762 = V367347 - 1. assign V390335 = V733681. assign V463333 = V223204 - 1. assign V905216 = V396416 - 1. assign V572298 = V227355 + 1. assign V335581 = V733681 + 1. assign V362227 = V448192 - 1. assign V580347 = V878713 + 1. assign V617498 = V182261 + 1. assign V694869 = V952527 + 1. assign V086638 = V932440 + 1. assign V396416 = V849951 - 1. assign V525957 = V474519 + 1. assign V088555 = V039944 - 1. assign V220857 = V278413 + 1. assign V928117 = V849951. assign V563148 = V003587 - 1. assign V448192 = V039944 + 1. assign V794116 = V033570 + 1. assign V994248 = V223204 - 1. assign V977043 = V600937. assign V415973 = V474519 + 1. assign V932440 = V840730 + 1. assign V816374 = V463333. assign V039944 = V474519 - 1. assign V407973 = V033570 - 1. assign V840730 = V928117 - 1. assign V280095 = V840730 + 1. assign V200942 = V302198. assign V133430 = V977043 + 1. assign V582801 = V219829. assign V945478 = V175746 - 1. assign V952527 = V576529 + 1. assign V071693 = V994248 + 1. assign V302198 = V177704 - 1. assign V488326 = V289617 - 1. assign V979943 = V619213 - 1. assign V205337 = V367347. assign V012841 = V039944. assign V762144 = V733681 + 1. assign V701095 = V289617. assign V928308 = V576529. assign V760349 = V828855 + 1. assign V878713 = V828855 + 1. assign V175746 = V762144 + 1. assign V647177 = V851961 - 1. assign V223204 = V474519 - 1. assign V473624 = V039944. assign V614484 = 3. assign V537446 = V928308 + 1. assign V600937 = V474519 + 1. assign V773637 = V614484. assign V033570 = V488245. assign V334201 = V474519. assign V278413 = V003587 + 1. assign V049499 = V003587 - 1. assign V463502 = V324041 + 1. assign V733681 = V448192. assign V571935 = V039848 - 1. assign V955365 = V175746. assign V828855 = V474519 - 1. assign V038171 = V878713 + 1. assign V289617 = V227355.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV614484 = 3;\n\nFrom these direct assignment(s), we have: \nV773637 = V614484 = 3;\nNo other variables can be derived from V773637;\nNo other variables can be derived from V614484;\n\nNow we have done all the calculations. Derived variables are:\nV614484 = 3;\nV773637 = 3;\n\nNow we have finished this problem. ANSWER:\nV614484, V773637\n", "role": "assistant" } ]

[ "V971441" ]

[ { "content": "<context>\nassign V241825 = V120985. assign V874050 = V111035 + 1. assign V971441 = V204875 - 1. assign V534639 = V068305 - 1. assign V197124 = V867786. assign V341280 = V754187 - 1. assign V204875 = 10. assign V220198 = V450735 + 1. assign V111385 = V395174. assign V701435 = V754187. assign V079621 = V120985 - 1. assign V938869 = V197124. assign V513510 = V025717 - 1. assign V263132 = V309659 + 1. assign V111035 = V735142 + 1. assign V846073 = V002473. assign V587880 = V925527 - 1. assign V989098 = V707105. assign V002473 = V707105. assign V050316 = V002473 - 1. assign V166986 = V384816 + 1. assign V707105 = V527766. assign V754187 = V858038 - 1. assign V449812 = V450735. assign V107807 = V665425 - 1. assign V496375 = V038477. assign V380326 = V220198 + 1. assign V196384 = V514187 - 1. assign V665425 = V496375 - 1. assign V371574 = V966169 - 1. assign V077861 = V371574. assign V068305 = V767483 + 1. assign V275143 = V767483 - 1. assign V701249 = V450735. assign V305360 = V514187 + 1. assign V520264 = V496375 + 1. assign V039994 = V520264 + 1. assign V525760 = V380085. assign V395174 = V120985 + 1. assign V760046 = V514187 + 1. assign V025717 = V120985 - 1. assign V767483 = V025717. assign V968267 = V111035. assign V322977 = V241825. assign V961218 = V450735 - 1. assign V999366 = V692229 - 1. assign V309659 = V025717. assign V867786 = V038477 - 1. assign V735142 = V025717 + 1. assign V979782 = V120985 - 1. assign V136253 = V707105 - 1. assign V514187 = V025717 + 1. assign V907073 = V874050 - 1. assign V527766 = V120985 + 1. assign V009061 = V462562 - 1. assign V038477 = V534639 + 1. assign V199978 = V760046 + 1. assign V061324 = V039994 - 1. assign V410397 = V025717 + 1. assign V462417 = V682316 - 1. assign V450735 = V025717 + 1. assign V984333 = V966169 + 1. assign V657256 = V197124 - 1. assign V314100 = V111035 + 1. assign V334157 = V682316 - 1. assign V692229 = V707105 - 1. assign V671027 = V196384 - 1. assign V380085 = V858038. assign V384816 = V305360 + 1. assign V682316 = V707105 + 1. assign V462562 = V025717 - 1. assign V280791 = V858038 - 1. assign V491488 = V136253 - 1. assign V127408 = V109729. assign V858038 = V979782. assign V645718 = V966873. assign V799511 = V120985 - 1. assign V060876 = V395174 + 1. assign V925527 = V966873 - 1. assign V149784 = V038477 - 1. assign V936297 = V671027 - 1. assign V139562 = V735142. assign V109729 = V449812. assign V966169 = V527766 - 1. assign V966873 = V120985 + 1. assign V024435 = V462562 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V241825 = V120985. assign V874050 = V111035 + 1. assign V971441 = V204875 - 1. assign V534639 = V068305 - 1. assign V197124 = V867786. assign V341280 = V754187 - 1. assign V204875 = 10. assign V220198 = V450735 + 1. assign V111385 = V395174. assign V701435 = V754187. assign V079621 = V120985 - 1. assign V938869 = V197124. assign V513510 = V025717 - 1. assign V263132 = V309659 + 1. assign V111035 = V735142 + 1. assign V846073 = V002473. assign V587880 = V925527 - 1. assign V989098 = V707105. assign V002473 = V707105. assign V050316 = V002473 - 1. assign V166986 = V384816 + 1. assign V707105 = V527766. assign V754187 = V858038 - 1. assign V449812 = V450735. assign V107807 = V665425 - 1. assign V496375 = V038477. assign V380326 = V220198 + 1. assign V196384 = V514187 - 1. assign V665425 = V496375 - 1. assign V371574 = V966169 - 1. assign V077861 = V371574. assign V068305 = V767483 + 1. assign V275143 = V767483 - 1. assign V701249 = V450735. assign V305360 = V514187 + 1. assign V520264 = V496375 + 1. assign V039994 = V520264 + 1. assign V525760 = V380085. assign V395174 = V120985 + 1. assign V760046 = V514187 + 1. assign V025717 = V120985 - 1. assign V767483 = V025717. assign V968267 = V111035. assign V322977 = V241825. assign V961218 = V450735 - 1. assign V999366 = V692229 - 1. assign V309659 = V025717. assign V867786 = V038477 - 1. assign V735142 = V025717 + 1. assign V979782 = V120985 - 1. assign V136253 = V707105 - 1. assign V514187 = V025717 + 1. assign V907073 = V874050 - 1. assign V527766 = V120985 + 1. assign V009061 = V462562 - 1. assign V038477 = V534639 + 1. assign V199978 = V760046 + 1. assign V061324 = V039994 - 1. assign V410397 = V025717 + 1. assign V462417 = V682316 - 1. assign V450735 = V025717 + 1. assign V984333 = V966169 + 1. assign V657256 = V197124 - 1. assign V314100 = V111035 + 1. assign V334157 = V682316 - 1. assign V692229 = V707105 - 1. assign V671027 = V196384 - 1. assign V380085 = V858038. assign V384816 = V305360 + 1. assign V682316 = V707105 + 1. assign V462562 = V025717 - 1. assign V280791 = V858038 - 1. assign V491488 = V136253 - 1. assign V127408 = V109729. assign V858038 = V979782. assign V645718 = V966873. assign V799511 = V120985 - 1. assign V060876 = V395174 + 1. assign V925527 = V966873 - 1. assign V149784 = V038477 - 1. assign V936297 = V671027 - 1. assign V139562 = V735142. assign V109729 = V449812. assign V966169 = V527766 - 1. assign V966873 = V120985 + 1. assign V024435 = V462562 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV204875 = 10;\n\nFrom these direct assignment(s), we have: \nV971441 = V204875 - 1 = 10 - 1 =9;\nNo other variables can be derived from V971441;\nNo other variables can be derived from V204875;\n\nNow we have done all the calculations. Derived variables are:\nV204875 = 10;\nV971441 = 9;\n\nNow we have finished this problem. ANSWER:\nV971441\n", "role": "assistant" } ]

[ "V553697" ]

[ { "content": "<context>\nassign V298973 = V085929. assign V106672 = V357694 + 1. assign V315386 = V046587. assign V728957 = V011647 - 1. assign V939236 = 2. assign V605446 = V818048. assign V567333 = V291810 + 1. assign V640253 = V123283 + 1. assign V003759 = V170854 - 1. assign V379318 = V926369 + 1. assign V215381 = V789472. assign V611707 = V488915. assign V170854 = V923609 + 1. assign V011647 = V870669. assign V862788 = V076216 - 1. assign V646671 = V390013. assign V589427 = V239237 - 1. assign V818048 = V923609 - 1. assign V987610 = V357694. assign V429149 = V123283 - 1. assign V789472 = V003759. assign V827657 = V628576 - 1. assign V864383 = V697709 + 1. assign V127390 = V773016 + 1. assign V251781 = V704339 + 1. assign V936683 = V773016 + 1. assign V353046 = V863271. assign V863271 = V789472 + 1. assign V625695 = V251781 - 1. assign V123283 = V170854. assign V038634 = V715412. assign V213977 = V697709 + 1. assign V603187 = V215381 - 1. assign V773016 = V818048. assign V801677 = V046361 - 1. assign V486036 = V862788 - 1. assign V299763 = V773016 + 1. assign V628576 = V106672 + 1. assign V390013 = V106672. assign V302232 = V923609 + 1. assign V085929 = V003759. assign V258714 = V106672 + 1. assign V089220 = V251781 + 1. assign V553697 = V939236 + 1. assign V488915 = V085929 - 1. assign V185947 = V954946 - 1. assign V000713 = V606128 + 1. assign V363617 = V863271 - 1. assign V354539 = V258714. assign V046361 = V038634 + 1. assign V446244 = V357694. assign V022051 = V773016 - 1. assign V436371 = V611707. assign V260242 = V311833 + 1. assign V671140 = V379318 - 1. assign V671490 = V215381 + 1. assign V562749 = V379318 + 1. assign V710166 = V011647 + 1. assign V311833 = V258714 - 1. assign V935196 = V697709 - 1. assign V606128 = V299763. assign V954946 = V213977 + 1. assign V445113 = V818048. assign V046587 = V003759 + 1. assign V926369 = V954946 + 1. assign V011642 = V311833 - 1. assign V302076 = V603187. assign V562905 = V488915 - 1. assign V873238 = V873271 + 1. assign V291810 = V923609 + 1. assign V704339 = V789472 + 1. assign V873271 = V987610 - 1. assign V288004 = V215381 - 1. assign V666604 = V926369. assign V715412 = V302232. assign V923609 = V357694. assign V964579 = V106672 + 1. assign V782657 = V935196. assign V217902 = V862788. assign V076216 = V562749 - 1. assign V239237 = V789472 + 1. assign V769569 = V870669 - 1. assign V697709 = V170854 - 1. assign V870669 = V789472 - 1. assign V338674 = V185947. assign V649903 = V446244 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V298973 = V085929. assign V106672 = V357694 + 1. assign V315386 = V046587. assign V728957 = V011647 - 1. assign V939236 = 2. assign V605446 = V818048. assign V567333 = V291810 + 1. assign V640253 = V123283 + 1. assign V003759 = V170854 - 1. assign V379318 = V926369 + 1. assign V215381 = V789472. assign V611707 = V488915. assign V170854 = V923609 + 1. assign V011647 = V870669. assign V862788 = V076216 - 1. assign V646671 = V390013. assign V589427 = V239237 - 1. assign V818048 = V923609 - 1. assign V987610 = V357694. assign V429149 = V123283 - 1. assign V789472 = V003759. assign V827657 = V628576 - 1. assign V864383 = V697709 + 1. assign V127390 = V773016 + 1. assign V251781 = V704339 + 1. assign V936683 = V773016 + 1. assign V353046 = V863271. assign V863271 = V789472 + 1. assign V625695 = V251781 - 1. assign V123283 = V170854. assign V038634 = V715412. assign V213977 = V697709 + 1. assign V603187 = V215381 - 1. assign V773016 = V818048. assign V801677 = V046361 - 1. assign V486036 = V862788 - 1. assign V299763 = V773016 + 1. assign V628576 = V106672 + 1. assign V390013 = V106672. assign V302232 = V923609 + 1. assign V085929 = V003759. assign V258714 = V106672 + 1. assign V089220 = V251781 + 1. assign V553697 = V939236 + 1. assign V488915 = V085929 - 1. assign V185947 = V954946 - 1. assign V000713 = V606128 + 1. assign V363617 = V863271 - 1. assign V354539 = V258714. assign V046361 = V038634 + 1. assign V446244 = V357694. assign V022051 = V773016 - 1. assign V436371 = V611707. assign V260242 = V311833 + 1. assign V671140 = V379318 - 1. assign V671490 = V215381 + 1. assign V562749 = V379318 + 1. assign V710166 = V011647 + 1. assign V311833 = V258714 - 1. assign V935196 = V697709 - 1. assign V606128 = V299763. assign V954946 = V213977 + 1. assign V445113 = V818048. assign V046587 = V003759 + 1. assign V926369 = V954946 + 1. assign V011642 = V311833 - 1. assign V302076 = V603187. assign V562905 = V488915 - 1. assign V873238 = V873271 + 1. assign V291810 = V923609 + 1. assign V704339 = V789472 + 1. assign V873271 = V987610 - 1. assign V288004 = V215381 - 1. assign V666604 = V926369. assign V715412 = V302232. assign V923609 = V357694. assign V964579 = V106672 + 1. assign V782657 = V935196. assign V217902 = V862788. assign V076216 = V562749 - 1. assign V239237 = V789472 + 1. assign V769569 = V870669 - 1. assign V697709 = V170854 - 1. assign V870669 = V789472 - 1. assign V338674 = V185947. assign V649903 = V446244 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV939236 = 2;\n\nFrom these direct assignment(s), we have: \nV553697 = V939236 + 1 = 2 + 1 =3;\nNo other variables can be derived from V553697;\nNo other variables can be derived from V939236;\n\nNow we have done all the calculations. Derived variables are:\nV939236 = 2;\nV553697 = 3;\n\nNow we have finished this problem. ANSWER:\nV553697\n", "role": "assistant" } ]

[ "V592784", "V781478" ]

[ { "content": "<context>\nassign V644439 = V902973 + 1. assign V825335 = V644439. assign V432925 = V742072. assign V974664 = V827546 + 1. assign V754959 = V667266 - 1. assign V083375 = V658883 - 1. assign V667266 = V350683 + 1. assign V426889 = V582602. assign V555064 = V072305. assign V953687 = V704033. assign V451067 = V667266 + 1. assign V059221 = V372962 - 1. assign V631252 = V426889 - 1. assign V435785 = V362681 + 1. assign V378178 = V563369 - 1. assign V658883 = V488067 + 1. assign V212666 = V798747 + 1. assign V496262 = V704033 - 1. assign V297861 = V665320 - 1. assign V437630 = V798747 - 1. assign V812313 = V105094 + 1. assign V215939 = V665320 - 1. assign V220653 = V798747. assign V271944 = V974664 + 1. assign V872460 = V980596 - 1. assign V672896 = V028735. assign V754204 = V825335. assign V595059 = V372962. assign V835840 = V072305. assign V315988 = V350683 + 1. assign V781478 = V592784. assign V070101 = V437630 + 1. assign V827546 = V488067. assign V414859 = V215939 - 1. assign V117445 = V595059. assign V105094 = V835840 - 1. assign V956322 = V742072. assign V436566 = V835840 + 1. assign V357265 = V916778 + 1. assign V665320 = V290968 - 1. assign V028735 = V350683. assign V791106 = V496262. assign V149950 = V215939 + 1. assign V239188 = V798747. assign V064971 = V742072 - 1. assign V902973 = V691075 + 1. assign V240211 = V372962 - 1. assign V921748 = V927055 + 1. assign V798747 = V290968 - 1. assign V606468 = V902973. assign V916778 = V658883. assign V087784 = V496262 - 1. assign V372962 = V290968 - 1. assign V440677 = V350683. assign V582602 = V290968 - 1. assign V379056 = V059221 + 1. assign V249751 = V215939. assign V980596 = V028735 + 1. assign V072305 = V902973. assign V347577 = V293370 - 1. assign V592784 = 10. assign V992566 = V672896 - 1. assign V941034 = V496262 - 1. assign V922102 = V798747. assign V656028 = V754959. assign V863577 = V059221 - 1. assign V290968 = V362681. assign V563369 = V798747. assign V293370 = V835840 + 1. assign V332673 = V980596 - 1. assign V787604 = V691075 - 1. assign V927055 = V215939 - 1. assign V742072 = V059221. assign V497615 = V347577. assign V471592 = V488067. assign V609804 = V437630. assign V563426 = V563369. assign V299132 = V347577. assign V488067 = V290968. assign V691075 = V704033 - 1. assign V631784 = V754204. assign V834333 = V825335 - 1. assign V704033 = V435785 + 1. assign V350683 = V290968. assign V176568 = V414859. assign V516177 = V215939.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V644439 = V902973 + 1. assign V825335 = V644439. assign V432925 = V742072. assign V974664 = V827546 + 1. assign V754959 = V667266 - 1. assign V083375 = V658883 - 1. assign V667266 = V350683 + 1. assign V426889 = V582602. assign V555064 = V072305. assign V953687 = V704033. assign V451067 = V667266 + 1. assign V059221 = V372962 - 1. assign V631252 = V426889 - 1. assign V435785 = V362681 + 1. assign V378178 = V563369 - 1. assign V658883 = V488067 + 1. assign V212666 = V798747 + 1. assign V496262 = V704033 - 1. assign V297861 = V665320 - 1. assign V437630 = V798747 - 1. assign V812313 = V105094 + 1. assign V215939 = V665320 - 1. assign V220653 = V798747. assign V271944 = V974664 + 1. assign V872460 = V980596 - 1. assign V672896 = V028735. assign V754204 = V825335. assign V595059 = V372962. assign V835840 = V072305. assign V315988 = V350683 + 1. assign V781478 = V592784. assign V070101 = V437630 + 1. assign V827546 = V488067. assign V414859 = V215939 - 1. assign V117445 = V595059. assign V105094 = V835840 - 1. assign V956322 = V742072. assign V436566 = V835840 + 1. assign V357265 = V916778 + 1. assign V665320 = V290968 - 1. assign V028735 = V350683. assign V791106 = V496262. assign V149950 = V215939 + 1. assign V239188 = V798747. assign V064971 = V742072 - 1. assign V902973 = V691075 + 1. assign V240211 = V372962 - 1. assign V921748 = V927055 + 1. assign V798747 = V290968 - 1. assign V606468 = V902973. assign V916778 = V658883. assign V087784 = V496262 - 1. assign V372962 = V290968 - 1. assign V440677 = V350683. assign V582602 = V290968 - 1. assign V379056 = V059221 + 1. assign V249751 = V215939. assign V980596 = V028735 + 1. assign V072305 = V902973. assign V347577 = V293370 - 1. assign V592784 = 10. assign V992566 = V672896 - 1. assign V941034 = V496262 - 1. assign V922102 = V798747. assign V656028 = V754959. assign V863577 = V059221 - 1. assign V290968 = V362681. assign V563369 = V798747. assign V293370 = V835840 + 1. assign V332673 = V980596 - 1. assign V787604 = V691075 - 1. assign V927055 = V215939 - 1. assign V742072 = V059221. assign V497615 = V347577. assign V471592 = V488067. assign V609804 = V437630. assign V563426 = V563369. assign V299132 = V347577. assign V488067 = V290968. assign V691075 = V704033 - 1. assign V631784 = V754204. assign V834333 = V825335 - 1. assign V704033 = V435785 + 1. assign V350683 = V290968. assign V176568 = V414859. assign V516177 = V215939.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV592784 = 10;\n\nFrom these direct assignment(s), we have: \nV781478 = V592784 = 10;\nNo other variables can be derived from V781478;\nNo other variables can be derived from V592784;\n\nNow we have done all the calculations. Derived variables are:\nV592784 = 10;\nV781478 = 10;\n\nNow we have finished this problem. ANSWER:\nV592784, V781478\n", "role": "assistant" } ]

[ "V074179" ]

[ { "content": "<context>\nassign V493321 = V916240 - 1. assign V289222 = V294279 + 1. assign V939556 = V876974. assign V487719 = V502540 + 1. assign V933555 = V922787 - 1. assign V150200 = V675805. assign V164068 = V706373 - 1. assign V673996 = V725470 - 1. assign V063871 = V070878. assign V967739 = V294279 + 1. assign V875208 = V072461. assign V384676 = V161857 - 1. assign V676547 = V171194 + 1. assign V442046 = V544328 - 1. assign V792394 = V151319. assign V679105 = V294279 - 1. assign V605490 = V936515 + 1. assign V502540 = V675805 - 1. assign V844362 = V922787 - 1. assign V807220 = V391173 - 1. assign V959447 = V965996 - 1. assign V806456 = V916240 + 1. assign V234225 = V487719 - 1. assign V388088 = V384676. assign V953622 = V070878 + 1. assign V481960 = V233735. assign V965996 = V169923. assign V916240 = V316539. assign V456260 = V264533 + 1. assign V943695 = V384676 - 1. assign V408188 = V072461 + 1. assign V104592 = V161857. assign V249019 = V038197 + 1. assign V544328 = V038197. assign V937493 = V844362. assign V693047 = V151319 + 1. assign V331412 = V399234. assign V233735 = V676547 + 1. assign V746450 = V659675 - 1. assign V282173 = V399234. assign V120672 = V072461 - 1. assign V979734 = V502540 - 1. assign V052800 = V169923 - 1. assign V161857 = V289222 - 1. assign V264533 = V289222 - 1. assign V889528 = V171194 + 1. assign V114725 = V922787. assign V247231 = V352749 + 1. assign V171194 = V502540 + 1. assign V399234 = V316539. assign V649829 = V878326. assign V390651 = V282173 + 1. assign V391173 = V171194. assign V074179 = 6. assign V223196 = V979734 + 1. assign V038197 = V675805. assign V675805 = V316539 - 1. assign V169923 = V979734 + 1. assign V072461 = V399234 - 1. assign V632580 = V408188. assign V936515 = V725470 - 1. assign V878326 = V072461 - 1. assign V725470 = V659675. assign V151319 = V038197 - 1. assign V491296 = V233735. assign V319676 = V936515 + 1. assign V138975 = V282173 - 1. assign V125693 = V120672. assign V795278 = V876974 + 1. assign V922787 = V792394. assign V631693 = V706373 - 1. assign V496449 = V074179 - 1. assign V410806 = V675805 - 1. assign V485108 = V706373 + 1. assign V175071 = V502540. assign V602944 = V070878 + 1. assign V070878 = V979734 - 1. assign V876974 = V161857. assign V352749 = V114725 - 1. assign V659675 = V316539 + 1. assign V850858 = V493321. assign V578346 = V544328 + 1. assign V106879 = V493321 - 1. assign V966938 = V979734 - 1. assign V294279 = V038197 + 1. assign V706373 = V675805 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V493321 = V916240 - 1. assign V289222 = V294279 + 1. assign V939556 = V876974. assign V487719 = V502540 + 1. assign V933555 = V922787 - 1. assign V150200 = V675805. assign V164068 = V706373 - 1. assign V673996 = V725470 - 1. assign V063871 = V070878. assign V967739 = V294279 + 1. assign V875208 = V072461. assign V384676 = V161857 - 1. assign V676547 = V171194 + 1. assign V442046 = V544328 - 1. assign V792394 = V151319. assign V679105 = V294279 - 1. assign V605490 = V936515 + 1. assign V502540 = V675805 - 1. assign V844362 = V922787 - 1. assign V807220 = V391173 - 1. assign V959447 = V965996 - 1. assign V806456 = V916240 + 1. assign V234225 = V487719 - 1. assign V388088 = V384676. assign V953622 = V070878 + 1. assign V481960 = V233735. assign V965996 = V169923. assign V916240 = V316539. assign V456260 = V264533 + 1. assign V943695 = V384676 - 1. assign V408188 = V072461 + 1. assign V104592 = V161857. assign V249019 = V038197 + 1. assign V544328 = V038197. assign V937493 = V844362. assign V693047 = V151319 + 1. assign V331412 = V399234. assign V233735 = V676547 + 1. assign V746450 = V659675 - 1. assign V282173 = V399234. assign V120672 = V072461 - 1. assign V979734 = V502540 - 1. assign V052800 = V169923 - 1. assign V161857 = V289222 - 1. assign V264533 = V289222 - 1. assign V889528 = V171194 + 1. assign V114725 = V922787. assign V247231 = V352749 + 1. assign V171194 = V502540 + 1. assign V399234 = V316539. assign V649829 = V878326. assign V390651 = V282173 + 1. assign V391173 = V171194. assign V074179 = 6. assign V223196 = V979734 + 1. assign V038197 = V675805. assign V675805 = V316539 - 1. assign V169923 = V979734 + 1. assign V072461 = V399234 - 1. assign V632580 = V408188. assign V936515 = V725470 - 1. assign V878326 = V072461 - 1. assign V725470 = V659675. assign V151319 = V038197 - 1. assign V491296 = V233735. assign V319676 = V936515 + 1. assign V138975 = V282173 - 1. assign V125693 = V120672. assign V795278 = V876974 + 1. assign V922787 = V792394. assign V631693 = V706373 - 1. assign V496449 = V074179 - 1. assign V410806 = V675805 - 1. assign V485108 = V706373 + 1. assign V175071 = V502540. assign V602944 = V070878 + 1. assign V070878 = V979734 - 1. assign V876974 = V161857. assign V352749 = V114725 - 1. assign V659675 = V316539 + 1. assign V850858 = V493321. assign V578346 = V544328 + 1. assign V106879 = V493321 - 1. assign V966938 = V979734 - 1. assign V294279 = V038197 + 1. assign V706373 = V675805 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV074179 = 6;\n\nFrom these direct assignment(s), we have: \nV496449 = V074179 - 1 = 6 - 1 =5;\nNo other variables can be derived from V496449;\nNo other variables can be derived from V074179;\n\nNow we have done all the calculations. Derived variables are:\nV074179 = 6;\nV496449 = 5;\n\nNow we have finished this problem. ANSWER:\nV074179\n", "role": "assistant" } ]

[ "V522025" ]

[ { "content": "<context>\nassign V404463 = V699447 - 1. assign V581972 = V639672 - 1. assign V369563 = V546360 + 1. assign V292793 = V642162. assign V050573 = V781555 - 1. assign V864912 = V908740 + 1. assign V546360 = V659022. assign V655162 = V495002 + 1. assign V460021 = V837669. assign V865148 = V639672. assign V258190 = V061299 + 1. assign V379887 = 7. assign V599203 = V454908 + 1. assign V061299 = V913897. assign V631718 = V533549 + 1. assign V303726 = V024589 + 1. assign V049286 = V642162 - 1. assign V153571 = V450747 - 1. assign V295294 = V454908. assign V153300 = V027517. assign V905405 = V061299. assign V024589 = V998693. assign V235991 = V232870 - 1. assign V642479 = V699447 - 1. assign V955485 = V075493. assign V781555 = V573993 - 1. assign V342042 = V581972 + 1. assign V547938 = V913897 + 1. assign V840820 = V642162. assign V244857 = V976812 - 1. assign V522025 = V379887 - 1. assign V270820 = V343118 - 1. assign V574944 = V205594 - 1. assign V908740 = V639672. assign V128851 = V955485 - 1. assign V128592 = V533549 - 1. assign V027517 = V454908. assign V955922 = V824321 + 1. assign V139446 = V913897 - 1. assign V881050 = V205594 - 1. assign V998693 = V081838 + 1. assign V744743 = V027517 + 1. assign V824321 = V581972. assign V454908 = V075493. assign V557361 = V913897 - 1. assign V395008 = V139446 - 1. assign V830695 = V908740 - 1. assign V913897 = V343118 + 1. assign V699447 = V976812. assign V568100 = V258190 + 1. assign V209860 = V343118 + 1. assign V573993 = V343118 - 1. assign V673661 = V905405. assign V837669 = V153571 - 1. assign V354369 = V573993 - 1. assign V009608 = V825803. assign V659022 = V343118 + 1. assign V668574 = V573993 - 1. assign V622486 = V573993 + 1. assign V081838 = V913897 + 1. assign V533549 = V069682. assign V326506 = V642479 - 1. assign V450747 = V343118 + 1. assign V799353 = V342269 + 1. assign V232870 = V976812. assign V825803 = V976812 - 1. assign V563319 = V395008 + 1. assign V642162 = V343118. assign V008122 = V258190. assign V205594 = V642479 + 1. assign V976812 = V913897 - 1. assign V608032 = V973491 - 1. assign V342269 = V139446 - 1. assign V707149 = V642479 + 1. assign V057499 = V998693 + 1. assign V412073 = V557361 + 1. assign V075493 = V450747. assign V902411 = V699447. assign V973491 = V825803. assign V260438 = V428446 + 1. assign V069682 = V622486. assign V119297 = V824321 + 1. assign V639672 = V622486 - 1. assign V428446 = V573993. assign V289742 = V326506. assign V495002 = V533549 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V404463 = V699447 - 1. assign V581972 = V639672 - 1. assign V369563 = V546360 + 1. assign V292793 = V642162. assign V050573 = V781555 - 1. assign V864912 = V908740 + 1. assign V546360 = V659022. assign V655162 = V495002 + 1. assign V460021 = V837669. assign V865148 = V639672. assign V258190 = V061299 + 1. assign V379887 = 7. assign V599203 = V454908 + 1. assign V061299 = V913897. assign V631718 = V533549 + 1. assign V303726 = V024589 + 1. assign V049286 = V642162 - 1. assign V153571 = V450747 - 1. assign V295294 = V454908. assign V153300 = V027517. assign V905405 = V061299. assign V024589 = V998693. assign V235991 = V232870 - 1. assign V642479 = V699447 - 1. assign V955485 = V075493. assign V781555 = V573993 - 1. assign V342042 = V581972 + 1. assign V547938 = V913897 + 1. assign V840820 = V642162. assign V244857 = V976812 - 1. assign V522025 = V379887 - 1. assign V270820 = V343118 - 1. assign V574944 = V205594 - 1. assign V908740 = V639672. assign V128851 = V955485 - 1. assign V128592 = V533549 - 1. assign V027517 = V454908. assign V955922 = V824321 + 1. assign V139446 = V913897 - 1. assign V881050 = V205594 - 1. assign V998693 = V081838 + 1. assign V744743 = V027517 + 1. assign V824321 = V581972. assign V454908 = V075493. assign V557361 = V913897 - 1. assign V395008 = V139446 - 1. assign V830695 = V908740 - 1. assign V913897 = V343118 + 1. assign V699447 = V976812. assign V568100 = V258190 + 1. assign V209860 = V343118 + 1. assign V573993 = V343118 - 1. assign V673661 = V905405. assign V837669 = V153571 - 1. assign V354369 = V573993 - 1. assign V009608 = V825803. assign V659022 = V343118 + 1. assign V668574 = V573993 - 1. assign V622486 = V573993 + 1. assign V081838 = V913897 + 1. assign V533549 = V069682. assign V326506 = V642479 - 1. assign V450747 = V343118 + 1. assign V799353 = V342269 + 1. assign V232870 = V976812. assign V825803 = V976812 - 1. assign V563319 = V395008 + 1. assign V642162 = V343118. assign V008122 = V258190. assign V205594 = V642479 + 1. assign V976812 = V913897 - 1. assign V608032 = V973491 - 1. assign V342269 = V139446 - 1. assign V707149 = V642479 + 1. assign V057499 = V998693 + 1. assign V412073 = V557361 + 1. assign V075493 = V450747. assign V902411 = V699447. assign V973491 = V825803. assign V260438 = V428446 + 1. assign V069682 = V622486. assign V119297 = V824321 + 1. assign V639672 = V622486 - 1. assign V428446 = V573993. assign V289742 = V326506. assign V495002 = V533549 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV379887 = 7;\n\nFrom these direct assignment(s), we have: \nV522025 = V379887 - 1 = 7 - 1 =6;\nNo other variables can be derived from V522025;\nNo other variables can be derived from V379887;\n\nNow we have done all the calculations. Derived variables are:\nV379887 = 7;\nV522025 = 6;\n\nNow we have finished this problem. ANSWER:\nV522025\n", "role": "assistant" } ]

[ "V389522", "V682522" ]

[ { "content": "<context>\nassign V630882 = V415793 + 1. assign V123657 = V089058 + 1. assign V989042 = V739199 - 1. assign V741326 = V920785 + 1. assign V702105 = V818442 + 1. assign V340068 = V275503 + 1. assign V358830 = V044177. assign V415793 = V044177 + 1. assign V387444 = V286099 + 1. assign V762408 = V036031 + 1. assign V152472 = V219263. assign V894853 = V036031. assign V647046 = V897921 + 1. assign V089058 = V701056. assign V435633 = V994500. assign V506084 = V810227. assign V792577 = V756217. assign V358370 = V818442 - 1. assign V324816 = V775268 - 1. assign V467850 = V818442. assign V429266 = V701056 + 1. assign V225220 = V677199. assign V935250 = V476245. assign V485730 = V358370. assign V275503 = V358830 - 1. assign V755795 = V036031 - 1. assign V677199 = V810227. assign V100712 = V563862 - 1. assign V994801 = V897921 + 1. assign V682522 = V389522. assign V025035 = V335436. assign V363939 = V818442 - 1. assign V646549 = V312857 - 1. assign V398574 = V480351 + 1. assign V892260 = V197734. assign V818442 = V197734 + 1. assign V060341 = V994500. assign V284888 = V989042 + 1. assign V753478 = V429266. assign V810227 = V751041 + 1. assign V775268 = V935250 - 1. assign V751041 = V476245 - 1. assign V663004 = V245352 - 1. assign V480351 = V130311. assign V174016 = V662908 - 1. assign V441144 = V786904 - 1. assign V625916 = V324816 - 1. assign V497417 = V896237. assign V531529 = V286099 + 1. assign V920785 = V197734. assign V701056 = V662908 + 1. assign V756217 = V358370. assign V837773 = V286099. assign V476245 = V036031 - 1. assign V291270 = V920785 + 1. assign V263928 = V476245. assign V219263 = V415793 - 1. assign V197734 = V894853 + 1. assign V907352 = V197734 - 1. assign V885206 = V197734 + 1. assign V130311 = V358370. assign V286099 = V012345 + 1. assign V389522 = 2. assign V918878 = V894853. assign V044177 = V907352 - 1. assign V699436 = V358370 - 1. assign V897921 = V907352 + 1. assign V662908 = V036031 + 1. assign V335436 = V935250 + 1. assign V439230 = V089058. assign V438785 = V245352. assign V902906 = V286099 + 1. assign V896237 = V263928. assign V137256 = V892260. assign V739199 = V089058 + 1. assign V563862 = V036031. assign V451101 = V885206 + 1. assign V786904 = V415793. assign V245352 = V751041. assign V012345 = V935250. assign V804779 = V476245. assign V257684 = V662908. assign V312857 = V197734 + 1. assign V747100 = V485730. assign V162294 = V044177. assign V994500 = V358370.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V630882 = V415793 + 1. assign V123657 = V089058 + 1. assign V989042 = V739199 - 1. assign V741326 = V920785 + 1. assign V702105 = V818442 + 1. assign V340068 = V275503 + 1. assign V358830 = V044177. assign V415793 = V044177 + 1. assign V387444 = V286099 + 1. assign V762408 = V036031 + 1. assign V152472 = V219263. assign V894853 = V036031. assign V647046 = V897921 + 1. assign V089058 = V701056. assign V435633 = V994500. assign V506084 = V810227. assign V792577 = V756217. assign V358370 = V818442 - 1. assign V324816 = V775268 - 1. assign V467850 = V818442. assign V429266 = V701056 + 1. assign V225220 = V677199. assign V935250 = V476245. assign V485730 = V358370. assign V275503 = V358830 - 1. assign V755795 = V036031 - 1. assign V677199 = V810227. assign V100712 = V563862 - 1. assign V994801 = V897921 + 1. assign V682522 = V389522. assign V025035 = V335436. assign V363939 = V818442 - 1. assign V646549 = V312857 - 1. assign V398574 = V480351 + 1. assign V892260 = V197734. assign V818442 = V197734 + 1. assign V060341 = V994500. assign V284888 = V989042 + 1. assign V753478 = V429266. assign V810227 = V751041 + 1. assign V775268 = V935250 - 1. assign V751041 = V476245 - 1. assign V663004 = V245352 - 1. assign V480351 = V130311. assign V174016 = V662908 - 1. assign V441144 = V786904 - 1. assign V625916 = V324816 - 1. assign V497417 = V896237. assign V531529 = V286099 + 1. assign V920785 = V197734. assign V701056 = V662908 + 1. assign V756217 = V358370. assign V837773 = V286099. assign V476245 = V036031 - 1. assign V291270 = V920785 + 1. assign V263928 = V476245. assign V219263 = V415793 - 1. assign V197734 = V894853 + 1. assign V907352 = V197734 - 1. assign V885206 = V197734 + 1. assign V130311 = V358370. assign V286099 = V012345 + 1. assign V389522 = 2. assign V918878 = V894853. assign V044177 = V907352 - 1. assign V699436 = V358370 - 1. assign V897921 = V907352 + 1. assign V662908 = V036031 + 1. assign V335436 = V935250 + 1. assign V439230 = V089058. assign V438785 = V245352. assign V902906 = V286099 + 1. assign V896237 = V263928. assign V137256 = V892260. assign V739199 = V089058 + 1. assign V563862 = V036031. assign V451101 = V885206 + 1. assign V786904 = V415793. assign V245352 = V751041. assign V012345 = V935250. assign V804779 = V476245. assign V257684 = V662908. assign V312857 = V197734 + 1. assign V747100 = V485730. assign V162294 = V044177. assign V994500 = V358370.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV389522 = 2;\n\nFrom these direct assignment(s), we have: \nV682522 = V389522 = 2;\nNo other variables can be derived from V682522;\nNo other variables can be derived from V389522;\n\nNow we have done all the calculations. Derived variables are:\nV389522 = 2;\nV682522 = 2;\n\nNow we have finished this problem. ANSWER:\nV389522, V682522\n", "role": "assistant" } ]

[ "V114014", "V806990" ]

[ { "content": "<context>\nassign V934936 = V605524 - 1. assign V491966 = V936479 - 1. assign V037677 = V022317 + 1. assign V592498 = V455553 + 1. assign V639428 = V149837 - 1. assign V771100 = V204420 - 1. assign V149837 = V209863 + 1. assign V156869 = V570842. assign V417485 = V639448 + 1. assign V054416 = V401187 - 1. assign V450101 = V671748. assign V933764 = V995884 + 1. assign V270985 = V286888. assign V828452 = V059187. assign V789516 = V354162 - 1. assign V339256 = V455553. assign V936479 = V286037 - 1. assign V161597 = V666659. assign V138464 = V650649. assign V671748 = V837932 - 1. assign V354162 = V639448 + 1. assign V964871 = V059187 + 1. assign V208405 = V262697 - 1. assign V650649 = V636332 - 1. assign V821526 = V450101 + 1. assign V022317 = V978351 + 1. assign V711765 = V204420 + 1. assign V751398 = V605524. assign V570842 = V132039 + 1. assign V262697 = V620053. assign V209863 = V262697. assign V788796 = V054416 + 1. assign V676414 = V995884. assign V909008 = V691697 - 1. assign V258414 = V620053. assign V292549 = V022317. assign V617790 = V983862 + 1. assign V899577 = V270985. assign V455553 = V837932 + 1. assign V691697 = V671748. assign V286888 = V161597 + 1. assign V837932 = V234560 + 1. assign V011534 = V605524. assign V059187 = V666659 + 1. assign V410687 = V676414. assign V114014 = 0. assign V536028 = V286888 - 1. assign V227043 = V995884. assign V978351 = V138464. assign V598172 = V929896. assign V806990 = V114014. assign V636332 = V234560 - 1. assign V896613 = V579713 - 1. assign V065797 = V155413 - 1. assign V651550 = V671748 - 1. assign V929896 = V022317. assign V286037 = V636332. assign V801514 = V258414 + 1. assign V984973 = V837932. assign V803031 = V664903 - 1. assign V749851 = V984973 - 1. assign V995884 = V234560 + 1. assign V201320 = V286888 + 1. assign V321039 = V666659. assign V850104 = V354162 - 1. assign V204420 = V995884 - 1. assign V724781 = V964871. assign V259483 = V292549. assign V566309 = V321039 + 1. assign V595475 = V570842 + 1. assign V132039 = V666659 + 1. assign V401187 = V671748. assign V620053 = V650649. assign V155413 = V339256 - 1. assign V605524 = V639448 + 1. assign V445933 = V449511. assign V666659 = V995884. assign V449511 = V286037 + 1. assign V664903 = V570842. assign V983862 = V138464 + 1. assign V939266 = V234560. assign V421121 = V258414. assign V900429 = V234560 + 1. assign V639448 = V138464. assign V579713 = V258414. assign V788963 = V978351.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V934936 = V605524 - 1. assign V491966 = V936479 - 1. assign V037677 = V022317 + 1. assign V592498 = V455553 + 1. assign V639428 = V149837 - 1. assign V771100 = V204420 - 1. assign V149837 = V209863 + 1. assign V156869 = V570842. assign V417485 = V639448 + 1. assign V054416 = V401187 - 1. assign V450101 = V671748. assign V933764 = V995884 + 1. assign V270985 = V286888. assign V828452 = V059187. assign V789516 = V354162 - 1. assign V339256 = V455553. assign V936479 = V286037 - 1. assign V161597 = V666659. assign V138464 = V650649. assign V671748 = V837932 - 1. assign V354162 = V639448 + 1. assign V964871 = V059187 + 1. assign V208405 = V262697 - 1. assign V650649 = V636332 - 1. assign V821526 = V450101 + 1. assign V022317 = V978351 + 1. assign V711765 = V204420 + 1. assign V751398 = V605524. assign V570842 = V132039 + 1. assign V262697 = V620053. assign V209863 = V262697. assign V788796 = V054416 + 1. assign V676414 = V995884. assign V909008 = V691697 - 1. assign V258414 = V620053. assign V292549 = V022317. assign V617790 = V983862 + 1. assign V899577 = V270985. assign V455553 = V837932 + 1. assign V691697 = V671748. assign V286888 = V161597 + 1. assign V837932 = V234560 + 1. assign V011534 = V605524. assign V059187 = V666659 + 1. assign V410687 = V676414. assign V114014 = 0. assign V536028 = V286888 - 1. assign V227043 = V995884. assign V978351 = V138464. assign V598172 = V929896. assign V806990 = V114014. assign V636332 = V234560 - 1. assign V896613 = V579713 - 1. assign V065797 = V155413 - 1. assign V651550 = V671748 - 1. assign V929896 = V022317. assign V286037 = V636332. assign V801514 = V258414 + 1. assign V984973 = V837932. assign V803031 = V664903 - 1. assign V749851 = V984973 - 1. assign V995884 = V234560 + 1. assign V201320 = V286888 + 1. assign V321039 = V666659. assign V850104 = V354162 - 1. assign V204420 = V995884 - 1. assign V724781 = V964871. assign V259483 = V292549. assign V566309 = V321039 + 1. assign V595475 = V570842 + 1. assign V132039 = V666659 + 1. assign V401187 = V671748. assign V620053 = V650649. assign V155413 = V339256 - 1. assign V605524 = V639448 + 1. assign V445933 = V449511. assign V666659 = V995884. assign V449511 = V286037 + 1. assign V664903 = V570842. assign V983862 = V138464 + 1. assign V939266 = V234560. assign V421121 = V258414. assign V900429 = V234560 + 1. assign V639448 = V138464. assign V579713 = V258414. assign V788963 = V978351.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV114014 = 0;\n\nFrom these direct assignment(s), we have: \nV806990 = V114014 = 0;\nNo other variables can be derived from V806990;\nNo other variables can be derived from V114014;\n\nNow we have done all the calculations. Derived variables are:\nV114014 = 0;\nV806990 = 0;\n\nNow we have finished this problem. ANSWER:\nV114014, V806990\n", "role": "assistant" } ]

[ "V517646" ]

[ { "content": "<context>\nassign V887093 = V562657. assign V225968 = V175725. assign V270484 = V350831. assign V392896 = V486042 + 1. assign V219305 = V563781 + 1. assign V603654 = V563921 + 1. assign V417136 = V175725. assign V335654 = V563921 + 1. assign V085061 = V295237. assign V617545 = V225968 + 1. assign V792889 = V173021 - 1. assign V441789 = V486042 + 1. assign V720918 = V200655 + 1. assign V200655 = V657055 - 1. assign V035738 = V145982. assign V015881 = V490754. assign V490754 = V073101. assign V671416 = V116955. assign V416191 = V762142. assign V145982 = V295237 + 1. assign V829501 = V649823. assign V860048 = V690374 - 1. assign V911493 = V490754 + 1. assign V804104 = V350831 - 1. assign V357378 = V695949 - 1. assign V540555 = V175725 - 1. assign V448175 = V295237. assign V899106 = V563781. assign V695949 = V563781 - 1. assign V563547 = V486042 - 1. assign V649823 = V225968 - 1. assign V995182 = 7. assign V095799 = V520630 + 1. assign V760563 = V295237 - 1. assign V242693 = V897529. assign V084409 = V433024 + 1. assign V724640 = V762142 - 1. assign V607280 = V860048 - 1. assign V657097 = V416191. assign V677651 = V225968 + 1. assign V264245 = V073101 - 1. assign V736197 = V392896 + 1. assign V683691 = V107453 + 1. assign V741075 = V175725. assign V008761 = V936377. assign V792510 = V118960 + 1. assign V562657 = V657055. assign V275626 = V448175. assign V657055 = V295237. assign V081078 = V291303. assign V563921 = V073101. assign V159404 = V270484. assign V350831 = V562657. assign V050220 = V792889 - 1. assign V591695 = V360610 + 1. assign V397130 = V357378 + 1. assign V180277 = V562657. assign V049631 = V562657 - 1. assign V107453 = V617545 - 1. assign V118960 = V360610. assign V123156 = V295237 - 1. assign V345795 = V804104. assign V520630 = V762142 + 1. assign V471440 = V350831 - 1. assign V690374 = V145982 + 1. assign V433024 = V490754 + 1. assign V360610 = V123156 + 1. assign V291303 = V350831. assign V176510 = V357378. assign V073101 = V695949 + 1. assign V826216 = V760563 - 1. assign V897529 = V219305 - 1. assign V684174 = V118960 - 1. assign V175725 = V657055 - 1. assign V517646 = V995182 - 1. assign V546130 = V490754 - 1. assign V355649 = V760563 + 1. assign V486042 = V540555 + 1. assign V751290 = V720918 - 1. assign V762142 = V657055 + 1. assign V116955 = V176510. assign V173021 = V649823. assign V547052 = V073101 + 1. assign V936377 = V270484. assign V563781 = V448175. assign V215828 = V291303.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V887093 = V562657. assign V225968 = V175725. assign V270484 = V350831. assign V392896 = V486042 + 1. assign V219305 = V563781 + 1. assign V603654 = V563921 + 1. assign V417136 = V175725. assign V335654 = V563921 + 1. assign V085061 = V295237. assign V617545 = V225968 + 1. assign V792889 = V173021 - 1. assign V441789 = V486042 + 1. assign V720918 = V200655 + 1. assign V200655 = V657055 - 1. assign V035738 = V145982. assign V015881 = V490754. assign V490754 = V073101. assign V671416 = V116955. assign V416191 = V762142. assign V145982 = V295237 + 1. assign V829501 = V649823. assign V860048 = V690374 - 1. assign V911493 = V490754 + 1. assign V804104 = V350831 - 1. assign V357378 = V695949 - 1. assign V540555 = V175725 - 1. assign V448175 = V295237. assign V899106 = V563781. assign V695949 = V563781 - 1. assign V563547 = V486042 - 1. assign V649823 = V225968 - 1. assign V995182 = 7. assign V095799 = V520630 + 1. assign V760563 = V295237 - 1. assign V242693 = V897529. assign V084409 = V433024 + 1. assign V724640 = V762142 - 1. assign V607280 = V860048 - 1. assign V657097 = V416191. assign V677651 = V225968 + 1. assign V264245 = V073101 - 1. assign V736197 = V392896 + 1. assign V683691 = V107453 + 1. assign V741075 = V175725. assign V008761 = V936377. assign V792510 = V118960 + 1. assign V562657 = V657055. assign V275626 = V448175. assign V657055 = V295237. assign V081078 = V291303. assign V563921 = V073101. assign V159404 = V270484. assign V350831 = V562657. assign V050220 = V792889 - 1. assign V591695 = V360610 + 1. assign V397130 = V357378 + 1. assign V180277 = V562657. assign V049631 = V562657 - 1. assign V107453 = V617545 - 1. assign V118960 = V360610. assign V123156 = V295237 - 1. assign V345795 = V804104. assign V520630 = V762142 + 1. assign V471440 = V350831 - 1. assign V690374 = V145982 + 1. assign V433024 = V490754 + 1. assign V360610 = V123156 + 1. assign V291303 = V350831. assign V176510 = V357378. assign V073101 = V695949 + 1. assign V826216 = V760563 - 1. assign V897529 = V219305 - 1. assign V684174 = V118960 - 1. assign V175725 = V657055 - 1. assign V517646 = V995182 - 1. assign V546130 = V490754 - 1. assign V355649 = V760563 + 1. assign V486042 = V540555 + 1. assign V751290 = V720918 - 1. assign V762142 = V657055 + 1. assign V116955 = V176510. assign V173021 = V649823. assign V547052 = V073101 + 1. assign V936377 = V270484. assign V563781 = V448175. assign V215828 = V291303.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV995182 = 7;\n\nFrom these direct assignment(s), we have: \nV517646 = V995182 - 1 = 7 - 1 =6;\nNo other variables can be derived from V517646;\nNo other variables can be derived from V995182;\n\nNow we have done all the calculations. Derived variables are:\nV995182 = 7;\nV517646 = 6;\n\nNow we have finished this problem. ANSWER:\nV517646\n", "role": "assistant" } ]

[ "V352318" ]

[ { "content": "<context>\nassign V172139 = V833664. assign V646666 = V169500 + 1. assign V387710 = V346762 - 1. assign V794317 = V466193. assign V376971 = V863355. assign V759079 = V276519. assign V808083 = V781725. assign V833664 = V110307 + 1. assign V606163 = V492559. assign V854668 = V110307 - 1. assign V085033 = V562226 + 1. assign V165419 = V927559. assign V326001 = V026199. assign V617491 = V056760 - 1. assign V646854 = V186832 + 1. assign V492559 = V863355 + 1. assign V857402 = V883208 - 1. assign V141961 = V408275 + 1. assign V352318 = 10. assign V689821 = V679807 + 1. assign V228835 = V794317 + 1. assign V786462 = V266411 + 1. assign V854954 = V172139 - 1. assign V470169 = V857402 - 1. assign V327303 = V408275 - 1. assign V544233 = V814412. assign V313383 = V376971 + 1. assign V032507 = V330547 - 1. assign V346762 = V330547. assign V466193 = V313383 + 1. assign V281373 = V160546 - 1. assign V268194 = V679807 + 1. assign V026199 = V346762. assign V110307 = V330547 - 1. assign V536043 = V679807. assign V500736 = V030098 + 1. assign V554822 = V911472 - 1. assign V459698 = V032507 - 1. assign V927559 = V646666 + 1. assign V781725 = V330547 + 1. assign V679807 = V026199. assign V994347 = V268194. assign V423518 = V927559. assign V160546 = V326001. assign V278009 = V123077 + 1. assign V169853 = V544233. assign V814412 = V799065 + 1. assign V672565 = V500736 + 1. assign V056299 = V863355. assign V266411 = V330547. assign V899541 = V325793 - 1. assign V562226 = V833664. assign V303752 = V492559 + 1. assign V325793 = V376971. assign V068299 = V814412 + 1. assign V009841 = V624269 - 1. assign V125419 = V562226 - 1. assign V799065 = V346762 - 1. assign V507297 = V899541. assign V781555 = V352318 + 1. assign V186832 = V562226 + 1. assign V276519 = V186832 + 1. assign V741147 = V123077 + 1. assign V329140 = V026199 + 1. assign V205648 = V833664. assign V911472 = V799065 - 1. assign V264434 = V541006 + 1. assign V338534 = V408275 - 1. assign V408275 = V169500. assign V030098 = V911472 + 1. assign V715538 = V786462 - 1. assign V056760 = V169853 - 1. assign V206567 = V507297 - 1. assign V624269 = V303752 + 1. assign V951762 = V206567. assign V119252 = V228835 + 1. assign V008774 = V330547 + 1. assign V154625 = V911472 + 1. assign V863355 = V346762 + 1. assign V541006 = V408275 - 1. assign V375583 = V911472. assign V304033 = V794317. assign V169500 = V854668 - 1. assign V883208 = V863355 + 1. assign V055408 = V562226 + 1. assign V123077 = V883208.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V172139 = V833664. assign V646666 = V169500 + 1. assign V387710 = V346762 - 1. assign V794317 = V466193. assign V376971 = V863355. assign V759079 = V276519. assign V808083 = V781725. assign V833664 = V110307 + 1. assign V606163 = V492559. assign V854668 = V110307 - 1. assign V085033 = V562226 + 1. assign V165419 = V927559. assign V326001 = V026199. assign V617491 = V056760 - 1. assign V646854 = V186832 + 1. assign V492559 = V863355 + 1. assign V857402 = V883208 - 1. assign V141961 = V408275 + 1. assign V352318 = 10. assign V689821 = V679807 + 1. assign V228835 = V794317 + 1. assign V786462 = V266411 + 1. assign V854954 = V172139 - 1. assign V470169 = V857402 - 1. assign V327303 = V408275 - 1. assign V544233 = V814412. assign V313383 = V376971 + 1. assign V032507 = V330547 - 1. assign V346762 = V330547. assign V466193 = V313383 + 1. assign V281373 = V160546 - 1. assign V268194 = V679807 + 1. assign V026199 = V346762. assign V110307 = V330547 - 1. assign V536043 = V679807. assign V500736 = V030098 + 1. assign V554822 = V911472 - 1. assign V459698 = V032507 - 1. assign V927559 = V646666 + 1. assign V781725 = V330547 + 1. assign V679807 = V026199. assign V994347 = V268194. assign V423518 = V927559. assign V160546 = V326001. assign V278009 = V123077 + 1. assign V169853 = V544233. assign V814412 = V799065 + 1. assign V672565 = V500736 + 1. assign V056299 = V863355. assign V266411 = V330547. assign V899541 = V325793 - 1. assign V562226 = V833664. assign V303752 = V492559 + 1. assign V325793 = V376971. assign V068299 = V814412 + 1. assign V009841 = V624269 - 1. assign V125419 = V562226 - 1. assign V799065 = V346762 - 1. assign V507297 = V899541. assign V781555 = V352318 + 1. assign V186832 = V562226 + 1. assign V276519 = V186832 + 1. assign V741147 = V123077 + 1. assign V329140 = V026199 + 1. assign V205648 = V833664. assign V911472 = V799065 - 1. assign V264434 = V541006 + 1. assign V338534 = V408275 - 1. assign V408275 = V169500. assign V030098 = V911472 + 1. assign V715538 = V786462 - 1. assign V056760 = V169853 - 1. assign V206567 = V507297 - 1. assign V624269 = V303752 + 1. assign V951762 = V206567. assign V119252 = V228835 + 1. assign V008774 = V330547 + 1. assign V154625 = V911472 + 1. assign V863355 = V346762 + 1. assign V541006 = V408275 - 1. assign V375583 = V911472. assign V304033 = V794317. assign V169500 = V854668 - 1. assign V883208 = V863355 + 1. assign V055408 = V562226 + 1. assign V123077 = V883208.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV352318 = 10;\n\nFrom these direct assignment(s), we have: \nV781555 = V352318 + 1 = 10 + 1 =11;\nNo other variables can be derived from V781555;\nNo other variables can be derived from V352318;\n\nNow we have done all the calculations. Derived variables are:\nV352318 = 10;\nV781555 = 11;\n\nNow we have finished this problem. ANSWER:\nV352318\n", "role": "assistant" } ]

[ "V913877", "V405929" ]

[ { "content": "<context>\nassign V104309 = V105899 - 1. assign V951445 = V257973 + 1. assign V245645 = V098237 + 1. assign V690610 = V245645 + 1. assign V445785 = V586885. assign V696580 = V435021 - 1. assign V816123 = V128176 + 1. assign V421373 = V133515 + 1. assign V245307 = V643343 + 1. assign V100136 = V142773 - 1. assign V105899 = V541411. assign V237073 = V364557 + 1. assign V643343 = V257973 - 1. assign V111210 = V098237. assign V565839 = V323391. assign V690703 = V565839 - 1. assign V732140 = V541411 - 1. assign V325197 = V690610. assign V640234 = V500172 - 1. assign V849335 = V506454 - 1. assign V247188 = V245645 - 1. assign V347245 = V245307 + 1. assign V893691 = V257973 - 1. assign V955233 = V487242 + 1. assign V819243 = V070135 + 1. assign V435021 = V323391. assign V969695 = V245645 + 1. assign V398085 = V364557. assign V321140 = V105899. assign V098237 = V128176 + 1. assign V728526 = V643343 + 1. assign V196153 = V245645. assign V500172 = V896654 + 1. assign V013665 = V688504 - 1. assign V380776 = V128176. assign V700433 = V896654 + 1. assign V915354 = V700433 - 1. assign V409733 = V643343 - 1. assign V146990 = V448131 - 1. assign V257973 = V070135 - 1. assign V586885 = V070135 + 1. assign V487242 = V643343 + 1. assign V625646 = V586885 + 1. assign V312510 = V257973 - 1. assign V274739 = V587311 + 1. assign V437744 = V274739 + 1. assign V128176 = V896654. assign V173338 = V257973. assign V323682 = V732140 - 1. assign V060811 = V196153 + 1. assign V401919 = V257973. assign V477848 = V565839. assign V994785 = V347245. assign V803488 = V640234. assign V824469 = V070135 - 1. assign V757616 = V142773 - 1. assign V140632 = V401919 + 1. assign V364557 = V245645 + 1. assign V868958 = V274739. assign V044168 = V401919 - 1. assign V405929 = V913877. assign V751080 = V803488. assign V040238 = V625646 - 1. assign V094755 = V140632 + 1. assign V070135 = V128176. assign V323391 = V274739 + 1. assign V587311 = V070135 - 1. assign V506454 = V245307 - 1. assign V206661 = V477848. assign V627103 = V173338 - 1. assign V489883 = V257973. assign V239582 = V587311. assign V415810 = V257973 + 1. assign V944099 = V111210 - 1. assign V133515 = V325197 - 1. assign V913877 = 7. assign V927922 = V587311 + 1. assign V876479 = V128176 - 1. assign V947059 = V380776. assign V448131 = V896654. assign V383705 = V437744. assign V069907 = V380776. assign V591302 = V587311 - 1. assign V142773 = V070135 + 1. assign V688504 = V128176 - 1. assign V541411 = V098237 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V104309 = V105899 - 1. assign V951445 = V257973 + 1. assign V245645 = V098237 + 1. assign V690610 = V245645 + 1. assign V445785 = V586885. assign V696580 = V435021 - 1. assign V816123 = V128176 + 1. assign V421373 = V133515 + 1. assign V245307 = V643343 + 1. assign V100136 = V142773 - 1. assign V105899 = V541411. assign V237073 = V364557 + 1. assign V643343 = V257973 - 1. assign V111210 = V098237. assign V565839 = V323391. assign V690703 = V565839 - 1. assign V732140 = V541411 - 1. assign V325197 = V690610. assign V640234 = V500172 - 1. assign V849335 = V506454 - 1. assign V247188 = V245645 - 1. assign V347245 = V245307 + 1. assign V893691 = V257973 - 1. assign V955233 = V487242 + 1. assign V819243 = V070135 + 1. assign V435021 = V323391. assign V969695 = V245645 + 1. assign V398085 = V364557. assign V321140 = V105899. assign V098237 = V128176 + 1. assign V728526 = V643343 + 1. assign V196153 = V245645. assign V500172 = V896654 + 1. assign V013665 = V688504 - 1. assign V380776 = V128176. assign V700433 = V896654 + 1. assign V915354 = V700433 - 1. assign V409733 = V643343 - 1. assign V146990 = V448131 - 1. assign V257973 = V070135 - 1. assign V586885 = V070135 + 1. assign V487242 = V643343 + 1. assign V625646 = V586885 + 1. assign V312510 = V257973 - 1. assign V274739 = V587311 + 1. assign V437744 = V274739 + 1. assign V128176 = V896654. assign V173338 = V257973. assign V323682 = V732140 - 1. assign V060811 = V196153 + 1. assign V401919 = V257973. assign V477848 = V565839. assign V994785 = V347245. assign V803488 = V640234. assign V824469 = V070135 - 1. assign V757616 = V142773 - 1. assign V140632 = V401919 + 1. assign V364557 = V245645 + 1. assign V868958 = V274739. assign V044168 = V401919 - 1. assign V405929 = V913877. assign V751080 = V803488. assign V040238 = V625646 - 1. assign V094755 = V140632 + 1. assign V070135 = V128176. assign V323391 = V274739 + 1. assign V587311 = V070135 - 1. assign V506454 = V245307 - 1. assign V206661 = V477848. assign V627103 = V173338 - 1. assign V489883 = V257973. assign V239582 = V587311. assign V415810 = V257973 + 1. assign V944099 = V111210 - 1. assign V133515 = V325197 - 1. assign V913877 = 7. assign V927922 = V587311 + 1. assign V876479 = V128176 - 1. assign V947059 = V380776. assign V448131 = V896654. assign V383705 = V437744. assign V069907 = V380776. assign V591302 = V587311 - 1. assign V142773 = V070135 + 1. assign V688504 = V128176 - 1. assign V541411 = V098237 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV913877 = 7;\n\nFrom these direct assignment(s), we have: \nV405929 = V913877 = 7;\nNo other variables can be derived from V405929;\nNo other variables can be derived from V913877;\n\nNow we have done all the calculations. Derived variables are:\nV913877 = 7;\nV405929 = 7;\n\nNow we have finished this problem. ANSWER:\nV913877, V405929\n", "role": "assistant" } ]

[ "V484039", "V391691" ]

[ { "content": "<context>\nassign V714858 = V349481 - 1. assign V391691 = V484039. assign V659018 = V832119. assign V382162 = V349481 + 1. assign V265686 = V434210. assign V557902 = V905463 + 1. assign V280387 = V456508 - 1. assign V456508 = V229306 - 1. assign V078968 = V382162 + 1. assign V850743 = V272058 - 1. assign V045683 = V973393 + 1. assign V227946 = V354327. assign V905463 = V253272 + 1. assign V097039 = V349481. assign V068135 = V416032 - 1. assign V238958 = V331181 - 1. assign V632390 = V253272 - 1. assign V334112 = V436465. assign V229306 = V382162 + 1. assign V606583 = V456508. assign V646271 = V505467 + 1. assign V434210 = V619359 + 1. assign V915967 = V877763 - 1. assign V505467 = V793788 - 1. assign V053159 = V418410 - 1. assign V302181 = V354327 - 1. assign V089487 = V738594 + 1. assign V201300 = V456508. assign V370645 = V265686 - 1. assign V714644 = V106832 - 1. assign V738536 = V382162. assign V601659 = V097039 - 1. assign V442559 = V489942 + 1. assign V522385 = V793788. assign V106832 = V349481. assign V489942 = V269474 + 1. assign V272622 = V210302 + 1. assign V832119 = V619359 - 1. assign V056743 = V229306. assign V100302 = V915967. assign V681214 = V436465 + 1. assign V416032 = V349481. assign V266957 = V349481. assign V691465 = V781821. assign V354327 = V229306 + 1. assign V973393 = V229306 + 1. assign V781821 = V269474 + 1. assign V877763 = V195145 - 1. assign V619359 = V349481 - 1. assign V272058 = V973393 + 1. assign V153211 = V619359 + 1. assign V195145 = V382162 + 1. assign V131060 = V793788 - 1. assign V363636 = V106832 + 1. assign V368480 = V663925 - 1. assign V410208 = V418410. assign V253272 = V280387 - 1. assign V987999 = V229306 - 1. assign V957528 = V663925. assign V161899 = V436465. assign V104580 = V505467 + 1. assign V269474 = V349481. assign V671423 = V265686. assign V484039 = 7. assign V612909 = V260536 + 1. assign V282210 = V436465 + 1. assign V367373 = V078968 - 1. assign V749988 = V282210 - 1. assign V663925 = V793788 - 1. assign V793788 = V229306 - 1. assign V145679 = V368480 - 1. assign V460546 = V905463 - 1. assign V974691 = V436465. assign V626301 = V354327 + 1. assign V875772 = V505467 + 1. assign V102779 = V354327. assign V749647 = V253272 + 1. assign V204357 = V619359 + 1. assign V418410 = V619359 - 1. assign V077026 = V045683 + 1. assign V210302 = V619359 - 1. assign V331181 = V663925 - 1. assign V950129 = V354327 - 1. assign V436465 = V210302 + 1. assign V260536 = V302181. assign V738594 = V456508 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V714858 = V349481 - 1. assign V391691 = V484039. assign V659018 = V832119. assign V382162 = V349481 + 1. assign V265686 = V434210. assign V557902 = V905463 + 1. assign V280387 = V456508 - 1. assign V456508 = V229306 - 1. assign V078968 = V382162 + 1. assign V850743 = V272058 - 1. assign V045683 = V973393 + 1. assign V227946 = V354327. assign V905463 = V253272 + 1. assign V097039 = V349481. assign V068135 = V416032 - 1. assign V238958 = V331181 - 1. assign V632390 = V253272 - 1. assign V334112 = V436465. assign V229306 = V382162 + 1. assign V606583 = V456508. assign V646271 = V505467 + 1. assign V434210 = V619359 + 1. assign V915967 = V877763 - 1. assign V505467 = V793788 - 1. assign V053159 = V418410 - 1. assign V302181 = V354327 - 1. assign V089487 = V738594 + 1. assign V201300 = V456508. assign V370645 = V265686 - 1. assign V714644 = V106832 - 1. assign V738536 = V382162. assign V601659 = V097039 - 1. assign V442559 = V489942 + 1. assign V522385 = V793788. assign V106832 = V349481. assign V489942 = V269474 + 1. assign V272622 = V210302 + 1. assign V832119 = V619359 - 1. assign V056743 = V229306. assign V100302 = V915967. assign V681214 = V436465 + 1. assign V416032 = V349481. assign V266957 = V349481. assign V691465 = V781821. assign V354327 = V229306 + 1. assign V973393 = V229306 + 1. assign V781821 = V269474 + 1. assign V877763 = V195145 - 1. assign V619359 = V349481 - 1. assign V272058 = V973393 + 1. assign V153211 = V619359 + 1. assign V195145 = V382162 + 1. assign V131060 = V793788 - 1. assign V363636 = V106832 + 1. assign V368480 = V663925 - 1. assign V410208 = V418410. assign V253272 = V280387 - 1. assign V987999 = V229306 - 1. assign V957528 = V663925. assign V161899 = V436465. assign V104580 = V505467 + 1. assign V269474 = V349481. assign V671423 = V265686. assign V484039 = 7. assign V612909 = V260536 + 1. assign V282210 = V436465 + 1. assign V367373 = V078968 - 1. assign V749988 = V282210 - 1. assign V663925 = V793788 - 1. assign V793788 = V229306 - 1. assign V145679 = V368480 - 1. assign V460546 = V905463 - 1. assign V974691 = V436465. assign V626301 = V354327 + 1. assign V875772 = V505467 + 1. assign V102779 = V354327. assign V749647 = V253272 + 1. assign V204357 = V619359 + 1. assign V418410 = V619359 - 1. assign V077026 = V045683 + 1. assign V210302 = V619359 - 1. assign V331181 = V663925 - 1. assign V950129 = V354327 - 1. assign V436465 = V210302 + 1. assign V260536 = V302181. assign V738594 = V456508 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV484039 = 7;\n\nFrom these direct assignment(s), we have: \nV391691 = V484039 = 7;\nNo other variables can be derived from V391691;\nNo other variables can be derived from V484039;\n\nNow we have done all the calculations. Derived variables are:\nV484039 = 7;\nV391691 = 7;\n\nNow we have finished this problem. ANSWER:\nV484039, V391691\n", "role": "assistant" } ]

[ "V795088" ]

[ { "content": "<context>\nassign V023399 = V946569 - 1. assign V617056 = V776986. assign V566662 = V776986. assign V215444 = V776986 - 1. assign V231107 = V432101 - 1. assign V703631 = V215444 - 1. assign V638530 = V143865 - 1. assign V010479 = V652088 - 1. assign V871170 = V686773. assign V942301 = V000750 + 1. assign V930475 = V054710. assign V049074 = V496038 - 1. assign V409493 = V501194 + 1. assign V886735 = V868985. assign V441385 = V447997 - 1. assign V796749 = V266218. assign V376142 = V886735 - 1. assign V110987 = V686773 + 1. assign V510668 = V055961 - 1. assign V575365 = V527200 + 1. assign V641854 = V362825. assign V023029 = V043448 - 1. assign V516908 = V116547 + 1. assign V097541 = V420758 + 1. assign V528816 = V390264 + 1. assign V420758 = V930475 + 1. assign V282957 = V566662 - 1. assign V148091 = V686773. assign V043448 = V662534 + 1. assign V385732 = V923232. assign V095648 = V920963. assign V124950 = 1. assign V630330 = V686773 + 1. assign V741845 = V686773 - 1. assign V629728 = V930475. assign V433412 = V923232 + 1. assign V776986 = V923232. assign V063361 = V777642. assign V987082 = V056150. assign V662534 = V923232. assign V447997 = V777642. assign V139313 = V055961 + 1. assign V203827 = V629728 - 1. assign V066245 = V062090 + 1. assign V062090 = V409493 - 1. assign V400453 = V942301 - 1. assign V745735 = V920963. assign V433139 = V686773 - 1. assign V865391 = V266218 - 1. assign V795088 = V124950 - 1. assign V652665 = V447997. assign V055961 = V433412 - 1. assign V950857 = V762609 - 1. assign V116547 = V385732. assign V762609 = V641854 - 1. assign V496038 = V143865 - 1. assign V868985 = V000750 + 1. assign V242734 = V041254 - 1. assign V143865 = V501194. assign V412406 = V390264 + 1. assign V432101 = V662534 + 1. assign V920963 = V432101. assign V686773 = V000750 - 1. assign V857164 = V390264 + 1. assign V777642 = V501194. assign V056150 = V527200. assign V652088 = V106479. assign V266218 = V432101 - 1. assign V042435 = V063361 - 1. assign V066425 = V385732 - 1. assign V501194 = V106479 - 1. assign V148679 = V776986 + 1. assign V946569 = V095648 - 1. assign V763643 = V266218 + 1. assign V962507 = V066245. assign V655053 = V390264 - 1. assign V390264 = V215444. assign V278986 = V741845 + 1. assign V460402 = V148091 + 1. assign V527200 = V420758 + 1. assign V362825 = V776986. assign V041254 = V106479. assign V723826 = V447997 + 1. assign V054710 = V362825 + 1. assign V000750 = V143865. assign V923232 = V106479.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V023399 = V946569 - 1. assign V617056 = V776986. assign V566662 = V776986. assign V215444 = V776986 - 1. assign V231107 = V432101 - 1. assign V703631 = V215444 - 1. assign V638530 = V143865 - 1. assign V010479 = V652088 - 1. assign V871170 = V686773. assign V942301 = V000750 + 1. assign V930475 = V054710. assign V049074 = V496038 - 1. assign V409493 = V501194 + 1. assign V886735 = V868985. assign V441385 = V447997 - 1. assign V796749 = V266218. assign V376142 = V886735 - 1. assign V110987 = V686773 + 1. assign V510668 = V055961 - 1. assign V575365 = V527200 + 1. assign V641854 = V362825. assign V023029 = V043448 - 1. assign V516908 = V116547 + 1. assign V097541 = V420758 + 1. assign V528816 = V390264 + 1. assign V420758 = V930475 + 1. assign V282957 = V566662 - 1. assign V148091 = V686773. assign V043448 = V662534 + 1. assign V385732 = V923232. assign V095648 = V920963. assign V124950 = 1. assign V630330 = V686773 + 1. assign V741845 = V686773 - 1. assign V629728 = V930475. assign V433412 = V923232 + 1. assign V776986 = V923232. assign V063361 = V777642. assign V987082 = V056150. assign V662534 = V923232. assign V447997 = V777642. assign V139313 = V055961 + 1. assign V203827 = V629728 - 1. assign V066245 = V062090 + 1. assign V062090 = V409493 - 1. assign V400453 = V942301 - 1. assign V745735 = V920963. assign V433139 = V686773 - 1. assign V865391 = V266218 - 1. assign V795088 = V124950 - 1. assign V652665 = V447997. assign V055961 = V433412 - 1. assign V950857 = V762609 - 1. assign V116547 = V385732. assign V762609 = V641854 - 1. assign V496038 = V143865 - 1. assign V868985 = V000750 + 1. assign V242734 = V041254 - 1. assign V143865 = V501194. assign V412406 = V390264 + 1. assign V432101 = V662534 + 1. assign V920963 = V432101. assign V686773 = V000750 - 1. assign V857164 = V390264 + 1. assign V777642 = V501194. assign V056150 = V527200. assign V652088 = V106479. assign V266218 = V432101 - 1. assign V042435 = V063361 - 1. assign V066425 = V385732 - 1. assign V501194 = V106479 - 1. assign V148679 = V776986 + 1. assign V946569 = V095648 - 1. assign V763643 = V266218 + 1. assign V962507 = V066245. assign V655053 = V390264 - 1. assign V390264 = V215444. assign V278986 = V741845 + 1. assign V460402 = V148091 + 1. assign V527200 = V420758 + 1. assign V362825 = V776986. assign V041254 = V106479. assign V723826 = V447997 + 1. assign V054710 = V362825 + 1. assign V000750 = V143865. assign V923232 = V106479.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV124950 = 1;\n\nFrom these direct assignment(s), we have: \nV795088 = V124950 - 1 = 1 - 1 =0;\nNo other variables can be derived from V795088;\nNo other variables can be derived from V124950;\n\nNow we have done all the calculations. Derived variables are:\nV124950 = 1;\nV795088 = 0;\n\nNow we have finished this problem. ANSWER:\nV795088\n", "role": "assistant" } ]

[ "V961393", "V883486" ]

[ { "content": "<context>\nassign V859318 = V173161 + 1. assign V527053 = V635169 - 1. assign V416573 = V180816 - 1. assign V366780 = V339164 + 1. assign V961393 = 2. assign V599874 = V713024 - 1. assign V290201 = V134207. assign V332559 = V201590 + 1. assign V266101 = V713024 - 1. assign V242784 = V981485. assign V561498 = V462200. assign V692496 = V527773. assign V527773 = V672966. assign V539556 = V942130 - 1. assign V432071 = V464221. assign V080080 = V010515 - 1. assign V173161 = V210490 - 1. assign V200073 = V999874. assign V712282 = V332559 - 1. assign V037100 = V032960 + 1. assign V339164 = V322615 - 1. assign V247684 = V467031. assign V010515 = V539556 - 1. assign V730685 = V556146. assign V355481 = V635169 + 1. assign V464221 = V355481 + 1. assign V322615 = V212767 + 1. assign V973758 = V210490 - 1. assign V981330 = V942130. assign V105098 = V467031. assign V950666 = V649701 - 1. assign V353286 = V134207 + 1. assign V396645 = V981485. assign V772669 = V649701. assign V202867 = V180816. assign V999874 = V173161. assign V467031 = V210490 + 1. assign V635169 = V210490 - 1. assign V882473 = V713024. assign V713024 = V527773. assign V359496 = V973758. assign V883486 = V961393. assign V849972 = V942130 - 1. assign V032960 = V120722 - 1. assign V757215 = V210490 + 1. assign V083865 = V212767 + 1. assign V699740 = V672966 - 1. assign V134207 = V221626 + 1. assign V513976 = V371145 - 1. assign V180816 = V527773 - 1. assign V462200 = V713024 - 1. assign V934909 = V105098 - 1. assign V371145 = V005057. assign V692013 = V230698. assign V137457 = V201590. assign V132819 = V672966. assign V201590 = V210490. assign V447709 = V230698 - 1. assign V672966 = V467031 - 1. assign V277561 = V878085 + 1. assign V038201 = V527773. assign V941686 = V692496. assign V417511 = V556146. assign V441704 = V266101 - 1. assign V336716 = V355481 + 1. assign V241329 = V134207 + 1. assign V556146 = V672966 - 1. assign V005057 = V210490. assign V120722 = V715212. assign V715212 = V527773. assign V230698 = V635169 - 1. assign V942130 = V332559 - 1. assign V553374 = V539556 - 1. assign V158439 = V247684. assign V212767 = V332559. assign V497302 = V201590 - 1. assign V995248 = V417511 - 1. assign V649701 = V462200 + 1. assign V221626 = V332559. assign V982825 = V359496. assign V031706 = V080080 + 1. assign V399968 = V339164 - 1. assign V118623 = V635169. assign V981485 = V999874 + 1. assign V878085 = V105098 - 1. assign V170923 = V942130 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V859318 = V173161 + 1. assign V527053 = V635169 - 1. assign V416573 = V180816 - 1. assign V366780 = V339164 + 1. assign V961393 = 2. assign V599874 = V713024 - 1. assign V290201 = V134207. assign V332559 = V201590 + 1. assign V266101 = V713024 - 1. assign V242784 = V981485. assign V561498 = V462200. assign V692496 = V527773. assign V527773 = V672966. assign V539556 = V942130 - 1. assign V432071 = V464221. assign V080080 = V010515 - 1. assign V173161 = V210490 - 1. assign V200073 = V999874. assign V712282 = V332559 - 1. assign V037100 = V032960 + 1. assign V339164 = V322615 - 1. assign V247684 = V467031. assign V010515 = V539556 - 1. assign V730685 = V556146. assign V355481 = V635169 + 1. assign V464221 = V355481 + 1. assign V322615 = V212767 + 1. assign V973758 = V210490 - 1. assign V981330 = V942130. assign V105098 = V467031. assign V950666 = V649701 - 1. assign V353286 = V134207 + 1. assign V396645 = V981485. assign V772669 = V649701. assign V202867 = V180816. assign V999874 = V173161. assign V467031 = V210490 + 1. assign V635169 = V210490 - 1. assign V882473 = V713024. assign V713024 = V527773. assign V359496 = V973758. assign V883486 = V961393. assign V849972 = V942130 - 1. assign V032960 = V120722 - 1. assign V757215 = V210490 + 1. assign V083865 = V212767 + 1. assign V699740 = V672966 - 1. assign V134207 = V221626 + 1. assign V513976 = V371145 - 1. assign V180816 = V527773 - 1. assign V462200 = V713024 - 1. assign V934909 = V105098 - 1. assign V371145 = V005057. assign V692013 = V230698. assign V137457 = V201590. assign V132819 = V672966. assign V201590 = V210490. assign V447709 = V230698 - 1. assign V672966 = V467031 - 1. assign V277561 = V878085 + 1. assign V038201 = V527773. assign V941686 = V692496. assign V417511 = V556146. assign V441704 = V266101 - 1. assign V336716 = V355481 + 1. assign V241329 = V134207 + 1. assign V556146 = V672966 - 1. assign V005057 = V210490. assign V120722 = V715212. assign V715212 = V527773. assign V230698 = V635169 - 1. assign V942130 = V332559 - 1. assign V553374 = V539556 - 1. assign V158439 = V247684. assign V212767 = V332559. assign V497302 = V201590 - 1. assign V995248 = V417511 - 1. assign V649701 = V462200 + 1. assign V221626 = V332559. assign V982825 = V359496. assign V031706 = V080080 + 1. assign V399968 = V339164 - 1. assign V118623 = V635169. assign V981485 = V999874 + 1. assign V878085 = V105098 - 1. assign V170923 = V942130 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV961393 = 2;\n\nFrom these direct assignment(s), we have: \nV883486 = V961393 = 2;\nNo other variables can be derived from V883486;\nNo other variables can be derived from V961393;\n\nNow we have done all the calculations. Derived variables are:\nV961393 = 2;\nV883486 = 2;\n\nNow we have finished this problem. ANSWER:\nV961393, V883486\n", "role": "assistant" } ]

[ "V085291" ]

[ { "content": "<context>\nassign V626702 = V973415 - 1. assign V984407 = V640965. assign V011719 = V225683. assign V471756 = V225683 + 1. assign V456657 = V643004 + 1. assign V361532 = V838947 - 1. assign V431585 = V214392. assign V472672 = V225683 - 1. assign V576445 = V225683 - 1. assign V190201 = V553082 + 1. assign V762783 = V259242 - 1. assign V519581 = V387282 + 1. assign V977069 = V659171 - 1. assign V225683 = V980379 - 1. assign V692114 = V838947 + 1. assign V105593 = V203010 - 1. assign V259242 = V140511 + 1. assign V659171 = V937315. assign V495103 = V403783 - 1. assign V851193 = V738989 - 1. assign V215351 = V476133 - 1. assign V553082 = V780785. assign V336238 = V977069 - 1. assign V950517 = V108760. assign V467892 = V626702 - 1. assign V398141 = V046788. assign V440105 = V259242 - 1. assign V908031 = V015790. assign V176397 = V937315 - 1. assign V838947 = V782533 + 1. assign V622865 = V225683 - 1. assign V334741 = V140511. assign V757714 = V464797. assign V226505 = V176397 + 1. assign V034825 = V004438. assign V368447 = V368169 - 1. assign V097685 = V225683 - 1. assign V015790 = V782533 - 1. assign V241683 = V838947 + 1. assign V373986 = V214392 - 1. assign V973415 = V802812 - 1. assign V691896 = V980379. assign V612653 = V691896 + 1. assign V464797 = V368169 + 1. assign V403783 = V015790 + 1. assign V513376 = V361532 + 1. assign V827402 = V553082 + 1. assign V158233 = V120132 + 1. assign V317856 = V085291 - 1. assign V738989 = V471756 + 1. assign V290776 = V275771 - 1. assign V937315 = V780785. assign V643004 = V129908. assign V980379 = V015790. assign V640965 = V782533. assign V007835 = V129908 + 1. assign V979915 = V980379 + 1. assign V476133 = V361532 - 1. assign V203010 = V275771 - 1. assign V960712 = V225683 + 1. assign V531935 = V780785 - 1. assign V522068 = V004438 + 1. assign V085291 = 7. assign V004438 = V368169 + 1. assign V636260 = V977069 + 1. assign V227361 = V960712 + 1. assign V046788 = V553082 + 1. assign V214392 = V780785 + 1. assign V120132 = V636260. assign V568282 = V659171 - 1. assign V108760 = V659171. assign V368169 = V838947 + 1. assign V780785 = V782533 + 1. assign V657060 = V495103. assign V790936 = V691896. assign V387282 = V980379. assign V275771 = V368169 + 1. assign V129908 = V034825 + 1. assign V615229 = V398141 - 1. assign V482491 = V368169 + 1. assign V140511 = V015790 - 1. assign V377623 = V105593 + 1. assign V517850 = V977069. assign V283660 = V004438 + 1. assign V802812 = V495103 + 1. assign V320503 = V657060 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V626702 = V973415 - 1. assign V984407 = V640965. assign V011719 = V225683. assign V471756 = V225683 + 1. assign V456657 = V643004 + 1. assign V361532 = V838947 - 1. assign V431585 = V214392. assign V472672 = V225683 - 1. assign V576445 = V225683 - 1. assign V190201 = V553082 + 1. assign V762783 = V259242 - 1. assign V519581 = V387282 + 1. assign V977069 = V659171 - 1. assign V225683 = V980379 - 1. assign V692114 = V838947 + 1. assign V105593 = V203010 - 1. assign V259242 = V140511 + 1. assign V659171 = V937315. assign V495103 = V403783 - 1. assign V851193 = V738989 - 1. assign V215351 = V476133 - 1. assign V553082 = V780785. assign V336238 = V977069 - 1. assign V950517 = V108760. assign V467892 = V626702 - 1. assign V398141 = V046788. assign V440105 = V259242 - 1. assign V908031 = V015790. assign V176397 = V937315 - 1. assign V838947 = V782533 + 1. assign V622865 = V225683 - 1. assign V334741 = V140511. assign V757714 = V464797. assign V226505 = V176397 + 1. assign V034825 = V004438. assign V368447 = V368169 - 1. assign V097685 = V225683 - 1. assign V015790 = V782533 - 1. assign V241683 = V838947 + 1. assign V373986 = V214392 - 1. assign V973415 = V802812 - 1. assign V691896 = V980379. assign V612653 = V691896 + 1. assign V464797 = V368169 + 1. assign V403783 = V015790 + 1. assign V513376 = V361532 + 1. assign V827402 = V553082 + 1. assign V158233 = V120132 + 1. assign V317856 = V085291 - 1. assign V738989 = V471756 + 1. assign V290776 = V275771 - 1. assign V937315 = V780785. assign V643004 = V129908. assign V980379 = V015790. assign V640965 = V782533. assign V007835 = V129908 + 1. assign V979915 = V980379 + 1. assign V476133 = V361532 - 1. assign V203010 = V275771 - 1. assign V960712 = V225683 + 1. assign V531935 = V780785 - 1. assign V522068 = V004438 + 1. assign V085291 = 7. assign V004438 = V368169 + 1. assign V636260 = V977069 + 1. assign V227361 = V960712 + 1. assign V046788 = V553082 + 1. assign V214392 = V780785 + 1. assign V120132 = V636260. assign V568282 = V659171 - 1. assign V108760 = V659171. assign V368169 = V838947 + 1. assign V780785 = V782533 + 1. assign V657060 = V495103. assign V790936 = V691896. assign V387282 = V980379. assign V275771 = V368169 + 1. assign V129908 = V034825 + 1. assign V615229 = V398141 - 1. assign V482491 = V368169 + 1. assign V140511 = V015790 - 1. assign V377623 = V105593 + 1. assign V517850 = V977069. assign V283660 = V004438 + 1. assign V802812 = V495103 + 1. assign V320503 = V657060 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV085291 = 7;\n\nFrom these direct assignment(s), we have: \nV317856 = V085291 - 1 = 7 - 1 =6;\nNo other variables can be derived from V317856;\nNo other variables can be derived from V085291;\n\nNow we have done all the calculations. Derived variables are:\nV085291 = 7;\nV317856 = 6;\n\nNow we have finished this problem. ANSWER:\nV085291\n", "role": "assistant" } ]

[ "V273906", "V546181" ]

[ { "content": "<context>\nassign V235325 = V469398 + 1. assign V783145 = V847918 + 1. assign V905496 = V762314 - 1. assign V010080 = V235325 + 1. assign V556145 = V987703 + 1. assign V607512 = V847918. assign V997818 = V087511 - 1. assign V689966 = V915631. assign V346230 = V987703 - 1. assign V314414 = V087511. assign V540772 = V144120. assign V789898 = V668121. assign V571360 = V014499 - 1. assign V867290 = V221950 + 1. assign V730775 = V982556 + 1. assign V427738 = V997818 - 1. assign V244371 = V469398 - 1. assign V220605 = V221950 + 1. assign V638852 = V997818. assign V913971 = V631743. assign V087511 = V754314 + 1. assign V144120 = V799051 + 1. assign V640358 = V757822 - 1. assign V559543 = V244371 - 1. assign V009577 = V540772 + 1. assign V280686 = V054312 - 1. assign V762314 = V087511. assign V469398 = V762314. assign V221950 = V997818. assign V083533 = V536773. assign V401497 = V536773. assign V781992 = V867290. assign V451567 = V556145 - 1. assign V094944 = V469398 - 1. assign V993256 = V754314 - 1. assign V357458 = V084206 + 1. assign V746283 = V114714 - 1. assign V536773 = V054312 + 1. assign V799051 = V762314 + 1. assign V608985 = V469398 - 1. assign V945014 = V905496. assign V374622 = V425471 - 1. assign V982556 = V469398 - 1. assign V486644 = V971606 + 1. assign V915631 = V469398 + 1. assign V546181 = V273906. assign V650651 = V346230. assign V727802 = V326117. assign V054312 = V762314 + 1. assign V647339 = V087511 - 1. assign V757822 = V010080. assign V425471 = V799051 - 1. assign V268762 = V987703 + 1. assign V314278 = V009577 - 1. assign V631743 = V054312 - 1. assign V326117 = V971606 + 1. assign V720153 = V314414 + 1. assign V084206 = V997818. assign V139088 = V268762 - 1. assign V581221 = V982556 - 1. assign V201096 = V799051. assign V743831 = V581221 - 1. assign V737755 = V930953 - 1. assign V668121 = V847918. assign V635481 = V094944 - 1. assign V919288 = V195761 + 1. assign V508989 = V009577. assign V609963 = V010080. assign V700463 = V280686 - 1. assign V114714 = V087511 - 1. assign V195761 = V114714 - 1. assign V213760 = V094944 - 1. assign V611640 = V640358 + 1. assign V273906 = 2. assign V826553 = V982556. assign V971606 = V054312 + 1. assign V847918 = V746283 + 1. assign V020588 = V425471 + 1. assign V987703 = V754314. assign V020853 = V608985 - 1. assign V280276 = V743831 + 1. assign V229200 = V746283 + 1. assign V014499 = V326117 + 1. assign V930953 = V244371. assign V362873 = V720153 + 1. assign V468563 = V486644 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V235325 = V469398 + 1. assign V783145 = V847918 + 1. assign V905496 = V762314 - 1. assign V010080 = V235325 + 1. assign V556145 = V987703 + 1. assign V607512 = V847918. assign V997818 = V087511 - 1. assign V689966 = V915631. assign V346230 = V987703 - 1. assign V314414 = V087511. assign V540772 = V144120. assign V789898 = V668121. assign V571360 = V014499 - 1. assign V867290 = V221950 + 1. assign V730775 = V982556 + 1. assign V427738 = V997818 - 1. assign V244371 = V469398 - 1. assign V220605 = V221950 + 1. assign V638852 = V997818. assign V913971 = V631743. assign V087511 = V754314 + 1. assign V144120 = V799051 + 1. assign V640358 = V757822 - 1. assign V559543 = V244371 - 1. assign V009577 = V540772 + 1. assign V280686 = V054312 - 1. assign V762314 = V087511. assign V469398 = V762314. assign V221950 = V997818. assign V083533 = V536773. assign V401497 = V536773. assign V781992 = V867290. assign V451567 = V556145 - 1. assign V094944 = V469398 - 1. assign V993256 = V754314 - 1. assign V357458 = V084206 + 1. assign V746283 = V114714 - 1. assign V536773 = V054312 + 1. assign V799051 = V762314 + 1. assign V608985 = V469398 - 1. assign V945014 = V905496. assign V374622 = V425471 - 1. assign V982556 = V469398 - 1. assign V486644 = V971606 + 1. assign V915631 = V469398 + 1. assign V546181 = V273906. assign V650651 = V346230. assign V727802 = V326117. assign V054312 = V762314 + 1. assign V647339 = V087511 - 1. assign V757822 = V010080. assign V425471 = V799051 - 1. assign V268762 = V987703 + 1. assign V314278 = V009577 - 1. assign V631743 = V054312 - 1. assign V326117 = V971606 + 1. assign V720153 = V314414 + 1. assign V084206 = V997818. assign V139088 = V268762 - 1. assign V581221 = V982556 - 1. assign V201096 = V799051. assign V743831 = V581221 - 1. assign V737755 = V930953 - 1. assign V668121 = V847918. assign V635481 = V094944 - 1. assign V919288 = V195761 + 1. assign V508989 = V009577. assign V609963 = V010080. assign V700463 = V280686 - 1. assign V114714 = V087511 - 1. assign V195761 = V114714 - 1. assign V213760 = V094944 - 1. assign V611640 = V640358 + 1. assign V273906 = 2. assign V826553 = V982556. assign V971606 = V054312 + 1. assign V847918 = V746283 + 1. assign V020588 = V425471 + 1. assign V987703 = V754314. assign V020853 = V608985 - 1. assign V280276 = V743831 + 1. assign V229200 = V746283 + 1. assign V014499 = V326117 + 1. assign V930953 = V244371. assign V362873 = V720153 + 1. assign V468563 = V486644 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV273906 = 2;\n\nFrom these direct assignment(s), we have: \nV546181 = V273906 = 2;\nNo other variables can be derived from V546181;\nNo other variables can be derived from V273906;\n\nNow we have done all the calculations. Derived variables are:\nV273906 = 2;\nV546181 = 2;\n\nNow we have finished this problem. ANSWER:\nV273906, V546181\n", "role": "assistant" } ]

[ "V149522" ]

[ { "content": "<context>\nassign V928304 = V118398. assign V837104 = V484646 + 1. assign V479709 = V378927. assign V503625 = V671830 - 1. assign V530885 = V053046 - 1. assign V970855 = V187509 + 1. assign V427602 = V856433 - 1. assign V010333 = V317617 + 1. assign V579199 = V617027 - 1. assign V866051 = V053046 + 1. assign V368796 = V581716 - 1. assign V397451 = V581716 + 1. assign V585310 = V519783 + 1. assign V217800 = V914515 - 1. assign V149522 = 5. assign V379076 = V053046 + 1. assign V939633 = V519783 - 1. assign V829158 = V622695. assign V606911 = V617027 + 1. assign V537393 = V820357 - 1. assign V071858 = V622432 + 1. assign V127198 = V149522 - 1. assign V465177 = V118398. assign V377859 = V681436. assign V581716 = V041991. assign V914515 = V041991 + 1. assign V053046 = V427602 + 1. assign V952369 = V519783 + 1. assign V422788 = V829158 - 1. assign V124645 = V928304. assign V519783 = V041991. assign V205838 = V760891 + 1. assign V484646 = V427602 - 1. assign V671830 = V053046 + 1. assign V582392 = V118398 + 1. assign V932040 = V914515 + 1. assign V104818 = V820357 - 1. assign V118398 = V187509. assign V270784 = V115954 + 1. assign V703090 = V796019 - 1. assign V306504 = V118398 + 1. assign V850285 = V519783 + 1. assign V622695 = V582392 + 1. assign V117298 = V537393. assign V892580 = V928304 + 1. assign V229651 = V753519. assign V991271 = V970855 - 1. assign V831306 = V537393 + 1. assign V899878 = V850285 + 1. assign V055367 = V939633 + 1. assign V187509 = V104818 + 1. assign V651365 = V617027 + 1. assign V653793 = V856433. assign V214085 = V217800. assign V086885 = V681436 - 1. assign V268108 = V581716. assign V041991 = V856433 + 1. assign V820357 = V914515 + 1. assign V285117 = V187509. assign V444634 = V217800. assign V033107 = V427602 + 1. assign V986472 = V205838. assign V081496 = V820357. assign V317617 = V820357. assign V971759 = V023970 + 1. assign V829837 = V581716 + 1. assign V892397 = V010333 - 1. assign V351434 = V617027. assign V172195 = V519783 - 1. assign V378927 = V537393 - 1. assign V681436 = V991271 + 1. assign V046530 = V606911. assign V433900 = V991271 + 1. assign V760891 = V585310 - 1. assign V622432 = V427602. assign V753519 = V932040 - 1. assign V023970 = V820357 - 1. assign V141605 = V214085 + 1. assign V053159 = V041991. assign V134915 = V820357. assign V115954 = V378927 + 1. assign V927227 = V187509. assign V796019 = V378927. assign V099360 = V617027 - 1. assign V789025 = V622432 - 1. assign V617027 = V427602 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V928304 = V118398. assign V837104 = V484646 + 1. assign V479709 = V378927. assign V503625 = V671830 - 1. assign V530885 = V053046 - 1. assign V970855 = V187509 + 1. assign V427602 = V856433 - 1. assign V010333 = V317617 + 1. assign V579199 = V617027 - 1. assign V866051 = V053046 + 1. assign V368796 = V581716 - 1. assign V397451 = V581716 + 1. assign V585310 = V519783 + 1. assign V217800 = V914515 - 1. assign V149522 = 5. assign V379076 = V053046 + 1. assign V939633 = V519783 - 1. assign V829158 = V622695. assign V606911 = V617027 + 1. assign V537393 = V820357 - 1. assign V071858 = V622432 + 1. assign V127198 = V149522 - 1. assign V465177 = V118398. assign V377859 = V681436. assign V581716 = V041991. assign V914515 = V041991 + 1. assign V053046 = V427602 + 1. assign V952369 = V519783 + 1. assign V422788 = V829158 - 1. assign V124645 = V928304. assign V519783 = V041991. assign V205838 = V760891 + 1. assign V484646 = V427602 - 1. assign V671830 = V053046 + 1. assign V582392 = V118398 + 1. assign V932040 = V914515 + 1. assign V104818 = V820357 - 1. assign V118398 = V187509. assign V270784 = V115954 + 1. assign V703090 = V796019 - 1. assign V306504 = V118398 + 1. assign V850285 = V519783 + 1. assign V622695 = V582392 + 1. assign V117298 = V537393. assign V892580 = V928304 + 1. assign V229651 = V753519. assign V991271 = V970855 - 1. assign V831306 = V537393 + 1. assign V899878 = V850285 + 1. assign V055367 = V939633 + 1. assign V187509 = V104818 + 1. assign V651365 = V617027 + 1. assign V653793 = V856433. assign V214085 = V217800. assign V086885 = V681436 - 1. assign V268108 = V581716. assign V041991 = V856433 + 1. assign V820357 = V914515 + 1. assign V285117 = V187509. assign V444634 = V217800. assign V033107 = V427602 + 1. assign V986472 = V205838. assign V081496 = V820357. assign V317617 = V820357. assign V971759 = V023970 + 1. assign V829837 = V581716 + 1. assign V892397 = V010333 - 1. assign V351434 = V617027. assign V172195 = V519783 - 1. assign V378927 = V537393 - 1. assign V681436 = V991271 + 1. assign V046530 = V606911. assign V433900 = V991271 + 1. assign V760891 = V585310 - 1. assign V622432 = V427602. assign V753519 = V932040 - 1. assign V023970 = V820357 - 1. assign V141605 = V214085 + 1. assign V053159 = V041991. assign V134915 = V820357. assign V115954 = V378927 + 1. assign V927227 = V187509. assign V796019 = V378927. assign V099360 = V617027 - 1. assign V789025 = V622432 - 1. assign V617027 = V427602 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV149522 = 5;\n\nFrom these direct assignment(s), we have: \nV127198 = V149522 - 1 = 5 - 1 =4;\nNo other variables can be derived from V127198;\nNo other variables can be derived from V149522;\n\nNow we have done all the calculations. Derived variables are:\nV149522 = 5;\nV127198 = 4;\n\nNow we have finished this problem. ANSWER:\nV149522\n", "role": "assistant" } ]

[ "V593725", "V788174" ]

[ { "content": "<context>\nassign V930858 = V085341. assign V748308 = V930858 + 1. assign V809271 = V520793 - 1. assign V027824 = V542856 - 1. assign V788174 = V593725. assign V179179 = V183767 + 1. assign V996132 = V136248 - 1. assign V520793 = V279646. assign V058799 = V279646. assign V732265 = V275095 - 1. assign V627858 = V085341 - 1. assign V099526 = V748308. assign V900303 = V843288. assign V615184 = V843288. assign V948611 = V529493 + 1. assign V292736 = V813470 - 1. assign V908095 = V159941 + 1. assign V689891 = V097427 - 1. assign V529493 = V504559 + 1. assign V813470 = V339130 - 1. assign V643117 = V061794. assign V406488 = V396037. assign V484419 = V529493. assign V141808 = V085341 + 1. assign V769129 = V956674. assign V593725 = 10. assign V565956 = V677620. assign V043979 = V472612 - 1. assign V956674 = V088299 + 1. assign V658512 = V183767 + 1. assign V720274 = V956674 - 1. assign V159941 = V732265 + 1. assign V697073 = V061794 - 1. assign V394555 = V339130. assign V808941 = V677620 + 1. assign V286658 = V275095. assign V004287 = V918199. assign V533816 = V339130 - 1. assign V285845 = V724753 + 1. assign V485362 = V732265 + 1. assign V163844 = V097427 - 1. assign V183033 = V529493. assign V097427 = V542856 - 1. assign V088299 = V183767 - 1. assign V665406 = V085341. assign V061794 = V918199 - 1. assign V834974 = V665406 - 1. assign V236793 = V565956 + 1. assign V562669 = V665406. assign V347527 = V908095. assign V002634 = V813470. assign V472612 = V565956 + 1. assign V850476 = V004287. assign V339130 = V834974 + 1. assign V186172 = V275095. assign V409148 = V529493. assign V674576 = V701213 + 1. assign V275252 = V097427 - 1. assign V504559 = V279646. assign V542856 = V813470 + 1. assign V523050 = V813470. assign V807901 = V472612 + 1. assign V724753 = V850476 - 1. assign V279646 = V183767 - 1. assign V294697 = V174879. assign V547367 = V658512. assign V843288 = V809271 - 1. assign V269353 = V347527 + 1. assign V183767 = V665406 - 1. assign V136248 = V643117 - 1. assign V444769 = V409148 - 1. assign V275095 = V085341 + 1. assign V256516 = V292736 + 1. assign V110786 = V529493 + 1. assign V677620 = V533816 - 1. assign V846326 = V279646 - 1. assign V396037 = V141808. assign V701213 = V339130 + 1. assign V793774 = V689891 + 1. assign V918199 = V085341 + 1. assign V367728 = V732265 + 1. assign V174879 = V665406. assign V434637 = V183767. assign V573823 = V179179 - 1. assign V924084 = V834974 + 1. assign V646594 = V504559 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V930858 = V085341. assign V748308 = V930858 + 1. assign V809271 = V520793 - 1. assign V027824 = V542856 - 1. assign V788174 = V593725. assign V179179 = V183767 + 1. assign V996132 = V136248 - 1. assign V520793 = V279646. assign V058799 = V279646. assign V732265 = V275095 - 1. assign V627858 = V085341 - 1. assign V099526 = V748308. assign V900303 = V843288. assign V615184 = V843288. assign V948611 = V529493 + 1. assign V292736 = V813470 - 1. assign V908095 = V159941 + 1. assign V689891 = V097427 - 1. assign V529493 = V504559 + 1. assign V813470 = V339130 - 1. assign V643117 = V061794. assign V406488 = V396037. assign V484419 = V529493. assign V141808 = V085341 + 1. assign V769129 = V956674. assign V593725 = 10. assign V565956 = V677620. assign V043979 = V472612 - 1. assign V956674 = V088299 + 1. assign V658512 = V183767 + 1. assign V720274 = V956674 - 1. assign V159941 = V732265 + 1. assign V697073 = V061794 - 1. assign V394555 = V339130. assign V808941 = V677620 + 1. assign V286658 = V275095. assign V004287 = V918199. assign V533816 = V339130 - 1. assign V285845 = V724753 + 1. assign V485362 = V732265 + 1. assign V163844 = V097427 - 1. assign V183033 = V529493. assign V097427 = V542856 - 1. assign V088299 = V183767 - 1. assign V665406 = V085341. assign V061794 = V918199 - 1. assign V834974 = V665406 - 1. assign V236793 = V565956 + 1. assign V562669 = V665406. assign V347527 = V908095. assign V002634 = V813470. assign V472612 = V565956 + 1. assign V850476 = V004287. assign V339130 = V834974 + 1. assign V186172 = V275095. assign V409148 = V529493. assign V674576 = V701213 + 1. assign V275252 = V097427 - 1. assign V504559 = V279646. assign V542856 = V813470 + 1. assign V523050 = V813470. assign V807901 = V472612 + 1. assign V724753 = V850476 - 1. assign V279646 = V183767 - 1. assign V294697 = V174879. assign V547367 = V658512. assign V843288 = V809271 - 1. assign V269353 = V347527 + 1. assign V183767 = V665406 - 1. assign V136248 = V643117 - 1. assign V444769 = V409148 - 1. assign V275095 = V085341 + 1. assign V256516 = V292736 + 1. assign V110786 = V529493 + 1. assign V677620 = V533816 - 1. assign V846326 = V279646 - 1. assign V396037 = V141808. assign V701213 = V339130 + 1. assign V793774 = V689891 + 1. assign V918199 = V085341 + 1. assign V367728 = V732265 + 1. assign V174879 = V665406. assign V434637 = V183767. assign V573823 = V179179 - 1. assign V924084 = V834974 + 1. assign V646594 = V504559 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV593725 = 10;\n\nFrom these direct assignment(s), we have: \nV788174 = V593725 = 10;\nNo other variables can be derived from V788174;\nNo other variables can be derived from V593725;\n\nNow we have done all the calculations. Derived variables are:\nV593725 = 10;\nV788174 = 10;\n\nNow we have finished this problem. ANSWER:\nV593725, V788174\n", "role": "assistant" } ]

[ "V778518", "V617621" ]

[ { "content": "<context>\nassign V611018 = V330737 + 1. assign V958736 = V182685 + 1. assign V522106 = V303982 - 1. assign V275517 = V224164. assign V695870 = V817677 - 1. assign V213759 = V611018 + 1. assign V811651 = V745771 + 1. assign V103033 = V471062. assign V784389 = V817677 + 1. assign V476542 = V611018 - 1. assign V181520 = V483508 - 1. assign V243592 = V417579 - 1. assign V223648 = V303982 + 1. assign V839079 = V784389. assign V441882 = V611018 + 1. assign V218415 = V406470. assign V523496 = V071862. assign V833334 = V523496 - 1. assign V324822 = V817677 + 1. assign V123425 = V723616 - 1. assign V871101 = V406470. assign V437311 = V811651 - 1. assign V073182 = V213759 - 1. assign V629969 = V777761 - 1. assign V565203 = V811651 + 1. assign V734271 = V817677 - 1. assign V623090 = V181520 + 1. assign V681115 = V611018 + 1. assign V727521 = V219488. assign V657965 = V929619 + 1. assign V417579 = V547613. assign V434969 = V830635 + 1. assign V587661 = V966686 - 1. assign V280133 = V839079 + 1. assign V336128 = V218415 - 1. assign V443310 = V929619. assign V777761 = V830635 + 1. assign V432041 = V330737. assign V220633 = V218415. assign V092199 = V734271. assign V910713 = V092199 + 1. assign V330737 = V745771. assign V265733 = V483508 - 1. assign V752039 = V218415 - 1. assign V088582 = V972169 - 1. assign V225307 = V522106 - 1. assign V219488 = V806304. assign V660984 = V697626 - 1. assign V071862 = V817677 + 1. assign V617621 = V778518. assign V483508 = V697626 + 1. assign V471062 = V838152 + 1. assign V551921 = V811651. assign V057930 = V752039. assign V378001 = V830635 + 1. assign V303982 = V587036 + 1. assign V547613 = V123425. assign V182685 = V745771 + 1. assign V406470 = V745771. assign V009829 = V547613. assign V297228 = V745771 - 1. assign V089114 = V303982 - 1. assign V772037 = V695870 + 1. assign V778518 = 10. assign V697626 = V182685. assign V769953 = V838152 + 1. assign V934786 = V092199. assign V271184 = V817677 + 1. assign V929619 = V092199 - 1. assign V723616 = V745771 - 1. assign V830635 = V745771 + 1. assign V468923 = V123425. assign V466359 = V057930. assign V817677 = V745771 - 1. assign V972169 = V432041 - 1. assign V840773 = V297228 + 1. assign V838152 = V752039 + 1. assign V417284 = V330737 + 1. assign V587036 = V929619. assign V966686 = V358184 - 1. assign V111071 = V443310. assign V527738 = V806304. assign V358184 = V336128 + 1. assign V806304 = V330737 - 1. assign V224164 = V073182. assign V627702 = V123425.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V611018 = V330737 + 1. assign V958736 = V182685 + 1. assign V522106 = V303982 - 1. assign V275517 = V224164. assign V695870 = V817677 - 1. assign V213759 = V611018 + 1. assign V811651 = V745771 + 1. assign V103033 = V471062. assign V784389 = V817677 + 1. assign V476542 = V611018 - 1. assign V181520 = V483508 - 1. assign V243592 = V417579 - 1. assign V223648 = V303982 + 1. assign V839079 = V784389. assign V441882 = V611018 + 1. assign V218415 = V406470. assign V523496 = V071862. assign V833334 = V523496 - 1. assign V324822 = V817677 + 1. assign V123425 = V723616 - 1. assign V871101 = V406470. assign V437311 = V811651 - 1. assign V073182 = V213759 - 1. assign V629969 = V777761 - 1. assign V565203 = V811651 + 1. assign V734271 = V817677 - 1. assign V623090 = V181520 + 1. assign V681115 = V611018 + 1. assign V727521 = V219488. assign V657965 = V929619 + 1. assign V417579 = V547613. assign V434969 = V830635 + 1. assign V587661 = V966686 - 1. assign V280133 = V839079 + 1. assign V336128 = V218415 - 1. assign V443310 = V929619. assign V777761 = V830635 + 1. assign V432041 = V330737. assign V220633 = V218415. assign V092199 = V734271. assign V910713 = V092199 + 1. assign V330737 = V745771. assign V265733 = V483508 - 1. assign V752039 = V218415 - 1. assign V088582 = V972169 - 1. assign V225307 = V522106 - 1. assign V219488 = V806304. assign V660984 = V697626 - 1. assign V071862 = V817677 + 1. assign V617621 = V778518. assign V483508 = V697626 + 1. assign V471062 = V838152 + 1. assign V551921 = V811651. assign V057930 = V752039. assign V378001 = V830635 + 1. assign V303982 = V587036 + 1. assign V547613 = V123425. assign V182685 = V745771 + 1. assign V406470 = V745771. assign V009829 = V547613. assign V297228 = V745771 - 1. assign V089114 = V303982 - 1. assign V772037 = V695870 + 1. assign V778518 = 10. assign V697626 = V182685. assign V769953 = V838152 + 1. assign V934786 = V092199. assign V271184 = V817677 + 1. assign V929619 = V092199 - 1. assign V723616 = V745771 - 1. assign V830635 = V745771 + 1. assign V468923 = V123425. assign V466359 = V057930. assign V817677 = V745771 - 1. assign V972169 = V432041 - 1. assign V840773 = V297228 + 1. assign V838152 = V752039 + 1. assign V417284 = V330737 + 1. assign V587036 = V929619. assign V966686 = V358184 - 1. assign V111071 = V443310. assign V527738 = V806304. assign V358184 = V336128 + 1. assign V806304 = V330737 - 1. assign V224164 = V073182. assign V627702 = V123425.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV778518 = 10;\n\nFrom these direct assignment(s), we have: \nV617621 = V778518 = 10;\nNo other variables can be derived from V617621;\nNo other variables can be derived from V778518;\n\nNow we have done all the calculations. Derived variables are:\nV778518 = 10;\nV617621 = 10;\n\nNow we have finished this problem. ANSWER:\nV778518, V617621\n", "role": "assistant" } ]

[ "V911070", "V303506" ]

[ { "content": "<context>\nassign V113473 = V830321. assign V604395 = V734830 - 1. assign V456693 = V915891 - 1. assign V885550 = V029117. assign V018759 = V111145 + 1. assign V247793 = V145414 + 1. assign V635142 = V881914 - 1. assign V618637 = V113470 + 1. assign V779897 = V281135 - 1. assign V501162 = V088310 - 1. assign V878044 = V088310 - 1. assign V430936 = V389802 - 1. assign V304168 = V795668 + 1. assign V795668 = V145414 - 1. assign V459625 = V247793 + 1. assign V371297 = V665295 - 1. assign V078070 = V113470 - 1. assign V909860 = V870375 - 1. assign V376146 = V088310. assign V058080 = V915891 - 1. assign V866947 = V078070. assign V816567 = V488620 + 1. assign V771381 = V389802. assign V509320 = V029117 - 1. assign V556175 = V285697 + 1. assign V797241 = V795668. assign V486870 = V111145 + 1. assign V375920 = V281135 - 1. assign V389802 = V300603 + 1. assign V663259 = V915891 + 1. assign V152060 = V889998 + 1. assign V030884 = V881914. assign V889998 = V915891. assign V042629 = V152060. assign V579500 = V342473. assign V870375 = V488620 - 1. assign V569274 = V604395 - 1. assign V524599 = V915891. assign V377653 = V300603. assign V230124 = V524040 + 1. assign V342473 = V111145 - 1. assign V308927 = V145414. assign V281135 = V377653 + 1. assign V841833 = V556175. assign V144624 = V377653 - 1. assign V866912 = V368603 - 1. assign V951925 = V830321 + 1. assign V936666 = V243749 + 1. assign V524040 = V795668. assign V085259 = V618637 + 1. assign V593936 = V029117. assign V911070 = 8. assign V634096 = V329476 - 1. assign V368603 = V111145 - 1. assign V509906 = V058080 + 1. assign V300603 = V113470 - 1. assign V088310 = V889998 - 1. assign V145414 = V113470 - 1. assign V329476 = V300603 - 1. assign V665295 = V113470 - 1. assign V029117 = V430936. assign V111145 = V145414 + 1. assign V167421 = V152060 - 1. assign V932884 = V512556. assign V243749 = V509320. assign V350276 = V304168 - 1. assign V870389 = V152060 + 1. assign V488620 = V088310. assign V915891 = V113470. assign V211002 = V113470 - 1. assign V875287 = V665295 - 1. assign V523205 = V083281 + 1. assign V881914 = V889998 - 1. assign V077870 = V088310 + 1. assign V700713 = V304168 - 1. assign V083281 = V247793 - 1. assign V198592 = V932884 + 1. assign V892470 = V618637 - 1. assign V734830 = V618637. assign V241891 = V152060 + 1. assign V646617 = V881914 + 1. assign V303506 = V911070. assign V512556 = V029117 + 1. assign V896061 = V795668 + 1. assign V285697 = V663259. assign V830321 = V870389 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V113473 = V830321. assign V604395 = V734830 - 1. assign V456693 = V915891 - 1. assign V885550 = V029117. assign V018759 = V111145 + 1. assign V247793 = V145414 + 1. assign V635142 = V881914 - 1. assign V618637 = V113470 + 1. assign V779897 = V281135 - 1. assign V501162 = V088310 - 1. assign V878044 = V088310 - 1. assign V430936 = V389802 - 1. assign V304168 = V795668 + 1. assign V795668 = V145414 - 1. assign V459625 = V247793 + 1. assign V371297 = V665295 - 1. assign V078070 = V113470 - 1. assign V909860 = V870375 - 1. assign V376146 = V088310. assign V058080 = V915891 - 1. assign V866947 = V078070. assign V816567 = V488620 + 1. assign V771381 = V389802. assign V509320 = V029117 - 1. assign V556175 = V285697 + 1. assign V797241 = V795668. assign V486870 = V111145 + 1. assign V375920 = V281135 - 1. assign V389802 = V300603 + 1. assign V663259 = V915891 + 1. assign V152060 = V889998 + 1. assign V030884 = V881914. assign V889998 = V915891. assign V042629 = V152060. assign V579500 = V342473. assign V870375 = V488620 - 1. assign V569274 = V604395 - 1. assign V524599 = V915891. assign V377653 = V300603. assign V230124 = V524040 + 1. assign V342473 = V111145 - 1. assign V308927 = V145414. assign V281135 = V377653 + 1. assign V841833 = V556175. assign V144624 = V377653 - 1. assign V866912 = V368603 - 1. assign V951925 = V830321 + 1. assign V936666 = V243749 + 1. assign V524040 = V795668. assign V085259 = V618637 + 1. assign V593936 = V029117. assign V911070 = 8. assign V634096 = V329476 - 1. assign V368603 = V111145 - 1. assign V509906 = V058080 + 1. assign V300603 = V113470 - 1. assign V088310 = V889998 - 1. assign V145414 = V113470 - 1. assign V329476 = V300603 - 1. assign V665295 = V113470 - 1. assign V029117 = V430936. assign V111145 = V145414 + 1. assign V167421 = V152060 - 1. assign V932884 = V512556. assign V243749 = V509320. assign V350276 = V304168 - 1. assign V870389 = V152060 + 1. assign V488620 = V088310. assign V915891 = V113470. assign V211002 = V113470 - 1. assign V875287 = V665295 - 1. assign V523205 = V083281 + 1. assign V881914 = V889998 - 1. assign V077870 = V088310 + 1. assign V700713 = V304168 - 1. assign V083281 = V247793 - 1. assign V198592 = V932884 + 1. assign V892470 = V618637 - 1. assign V734830 = V618637. assign V241891 = V152060 + 1. assign V646617 = V881914 + 1. assign V303506 = V911070. assign V512556 = V029117 + 1. assign V896061 = V795668 + 1. assign V285697 = V663259. assign V830321 = V870389 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV911070 = 8;\n\nFrom these direct assignment(s), we have: \nV303506 = V911070 = 8;\nNo other variables can be derived from V303506;\nNo other variables can be derived from V911070;\n\nNow we have done all the calculations. Derived variables are:\nV911070 = 8;\nV303506 = 8;\n\nNow we have finished this problem. ANSWER:\nV911070, V303506\n", "role": "assistant" } ]

[ "V805683" ]

[ { "content": "<context>\nassign V266507 = V560647. assign V374098 = V389528. assign V831921 = V767713. assign V239816 = V560647 + 1. assign V376131 = V158502 - 1. assign V380947 = V831921 + 1. assign V091429 = V376131 - 1. assign V004037 = V114562 - 1. assign V222934 = V720705 + 1. assign V846638 = V106847. assign V124969 = V332838 - 1. assign V568236 = V091429 + 1. assign V224716 = V860178. assign V141809 = V409544 - 1. assign V191289 = V405770 - 1. assign V405770 = V332838 - 1. assign V649059 = V410046. assign V409544 = V376131. assign V794767 = V357378 + 1. assign V357378 = V008692. assign V704479 = V091429 - 1. assign V410046 = V158502. assign V201115 = V376978. assign V767713 = V266507 + 1. assign V074294 = V063323 + 1. assign V114562 = V559898 + 1. assign V913942 = V600977 - 1. assign V956522 = V808668 + 1. assign V097629 = V600977 - 1. assign V106847 = V266507. assign V367601 = V560647 - 1. assign V559720 = V004037. assign V848082 = V332838 + 1. assign V805683 = 1. assign V559898 = V380947. assign V640638 = V540115. assign V540115 = V266507 - 1. assign V158502 = V560647 - 1. assign V240146 = V658010. assign V466587 = V405770. assign V693993 = V305486 + 1. assign V401869 = V913942 + 1. assign V221903 = V860178 - 1. assign V376978 = V374098 - 1. assign V658010 = V141809. assign V492527 = V831921. assign V275100 = V686683. assign V624087 = V158502. assign V548801 = V913942 + 1. assign V333893 = V805683 + 1. assign V730094 = V624087. assign V725416 = V041477 - 1. assign V200066 = V720705. assign V332838 = V560647 - 1. assign V720705 = V357378. assign V041477 = V158502. assign V978572 = V284640. assign V305486 = V464903 - 1. assign V686683 = V091429. assign V729097 = V464903. assign V008314 = V725416. assign V808668 = V158502 - 1. assign V464903 = V367601. assign V541703 = V767713 + 1. assign V215994 = V540115. assign V189540 = V410046 + 1. assign V600977 = V560647. assign V101229 = V686683 - 1. assign V473356 = V008692 - 1. assign V389528 = V357378 - 1. assign V713833 = V224716. assign V936464 = V405770 + 1. assign V530863 = V560647. assign V860178 = V540115. assign V008692 = V405770 + 1. assign V302624 = V704479. assign V844273 = V357378. assign V063323 = V401869. assign V284640 = V158502. assign V401602 = V405770 - 1. assign V213891 = V584880 - 1. assign V464552 = V071117. assign V494797 = V091429 + 1. assign V071117 = V560647 - 1. assign V133614 = V473356. assign V584880 = V860178 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V266507 = V560647. assign V374098 = V389528. assign V831921 = V767713. assign V239816 = V560647 + 1. assign V376131 = V158502 - 1. assign V380947 = V831921 + 1. assign V091429 = V376131 - 1. assign V004037 = V114562 - 1. assign V222934 = V720705 + 1. assign V846638 = V106847. assign V124969 = V332838 - 1. assign V568236 = V091429 + 1. assign V224716 = V860178. assign V141809 = V409544 - 1. assign V191289 = V405770 - 1. assign V405770 = V332838 - 1. assign V649059 = V410046. assign V409544 = V376131. assign V794767 = V357378 + 1. assign V357378 = V008692. assign V704479 = V091429 - 1. assign V410046 = V158502. assign V201115 = V376978. assign V767713 = V266507 + 1. assign V074294 = V063323 + 1. assign V114562 = V559898 + 1. assign V913942 = V600977 - 1. assign V956522 = V808668 + 1. assign V097629 = V600977 - 1. assign V106847 = V266507. assign V367601 = V560647 - 1. assign V559720 = V004037. assign V848082 = V332838 + 1. assign V805683 = 1. assign V559898 = V380947. assign V640638 = V540115. assign V540115 = V266507 - 1. assign V158502 = V560647 - 1. assign V240146 = V658010. assign V466587 = V405770. assign V693993 = V305486 + 1. assign V401869 = V913942 + 1. assign V221903 = V860178 - 1. assign V376978 = V374098 - 1. assign V658010 = V141809. assign V492527 = V831921. assign V275100 = V686683. assign V624087 = V158502. assign V548801 = V913942 + 1. assign V333893 = V805683 + 1. assign V730094 = V624087. assign V725416 = V041477 - 1. assign V200066 = V720705. assign V332838 = V560647 - 1. assign V720705 = V357378. assign V041477 = V158502. assign V978572 = V284640. assign V305486 = V464903 - 1. assign V686683 = V091429. assign V729097 = V464903. assign V008314 = V725416. assign V808668 = V158502 - 1. assign V464903 = V367601. assign V541703 = V767713 + 1. assign V215994 = V540115. assign V189540 = V410046 + 1. assign V600977 = V560647. assign V101229 = V686683 - 1. assign V473356 = V008692 - 1. assign V389528 = V357378 - 1. assign V713833 = V224716. assign V936464 = V405770 + 1. assign V530863 = V560647. assign V860178 = V540115. assign V008692 = V405770 + 1. assign V302624 = V704479. assign V844273 = V357378. assign V063323 = V401869. assign V284640 = V158502. assign V401602 = V405770 - 1. assign V213891 = V584880 - 1. assign V464552 = V071117. assign V494797 = V091429 + 1. assign V071117 = V560647 - 1. assign V133614 = V473356. assign V584880 = V860178 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV805683 = 1;\n\nFrom these direct assignment(s), we have: \nV333893 = V805683 + 1 = 1 + 1 =2;\nNo other variables can be derived from V333893;\nNo other variables can be derived from V805683;\n\nNow we have done all the calculations. Derived variables are:\nV805683 = 1;\nV333893 = 2;\n\nNow we have finished this problem. ANSWER:\nV805683\n", "role": "assistant" } ]

[ "V383077", "V697895" ]

[ { "content": "<context>\nassign V514815 = V641320. assign V774150 = V063934. assign V921140 = V715911 + 1. assign V407447 = V238939 - 1. assign V401344 = V446723 + 1. assign V066426 = V961020. assign V250275 = V295032 - 1. assign V319126 = V504788 + 1. assign V637183 = V872636 + 1. assign V179257 = V114919 - 1. assign V446723 = V066426. assign V360649 = V961020 - 1. assign V836906 = V339774 - 1. assign V523890 = V739157 - 1. assign V739157 = V308054. assign V680679 = V851767 - 1. assign V641320 = V773425. assign V379103 = V872213. assign V295032 = V693754 - 1. assign V277468 = V588965 + 1. assign V961020 = V077423. assign V349792 = V377150. assign V144547 = V114919 - 1. assign V773425 = V693754. assign V086380 = V250275. assign V927835 = V407447 + 1. assign V172010 = V277468. assign V588965 = V773425. assign V872213 = V116319 + 1. assign V679532 = V277468 - 1. assign V569059 = V431007 + 1. assign V527437 = V550841 + 1. assign V073613 = V308054 - 1. assign V697895 = V383077. assign V116319 = V773425 + 1. assign V760011 = V852700 - 1. assign V550841 = V144547. assign V431007 = V116319. assign V063934 = V238939 + 1. assign V355703 = V773425 - 1. assign V383077 = 10. assign V058069 = V066426 + 1. assign V813481 = V550841 - 1. assign V879690 = V813481 - 1. assign V794845 = V073613. assign V308054 = V238939 - 1. assign V715911 = V851767 + 1. assign V919641 = V166616 - 1. assign V176875 = V339774 - 1. assign V576006 = V739157 - 1. assign V277424 = V773425. assign V196319 = V693754 - 1. assign V653508 = V114919 + 1. assign V238939 = V773425. assign V593617 = V919588 + 1. assign V327784 = V308054 + 1. assign V114919 = V919588 - 1. assign V052211 = V327784 - 1. assign V966585 = V773425. assign V568501 = V588965 + 1. assign V166616 = V077423. assign V919588 = V773425. assign V767484 = V327784 - 1. assign V847341 = V851767 - 1. assign V673341 = V179257 - 1. assign V504788 = V739157 + 1. assign V276309 = V114919 - 1. assign V339774 = V077423 - 1. assign V879183 = V715911 + 1. assign V548191 = V504788. assign V826012 = V879183. assign V606243 = V179257 - 1. assign V943982 = V295032 - 1. assign V746766 = V066426. assign V109714 = V803651 - 1. assign V803651 = V077423 + 1. assign V591227 = V847341 - 1. assign V121406 = V250275. assign V780047 = V961020 + 1. assign V872636 = V773425 - 1. assign V851767 = V943982 + 1. assign V143608 = V523890 - 1. assign V377150 = V773425 + 1. assign V577582 = V921140. assign V852700 = V179257. assign V077423 = V693754.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V514815 = V641320. assign V774150 = V063934. assign V921140 = V715911 + 1. assign V407447 = V238939 - 1. assign V401344 = V446723 + 1. assign V066426 = V961020. assign V250275 = V295032 - 1. assign V319126 = V504788 + 1. assign V637183 = V872636 + 1. assign V179257 = V114919 - 1. assign V446723 = V066426. assign V360649 = V961020 - 1. assign V836906 = V339774 - 1. assign V523890 = V739157 - 1. assign V739157 = V308054. assign V680679 = V851767 - 1. assign V641320 = V773425. assign V379103 = V872213. assign V295032 = V693754 - 1. assign V277468 = V588965 + 1. assign V961020 = V077423. assign V349792 = V377150. assign V144547 = V114919 - 1. assign V773425 = V693754. assign V086380 = V250275. assign V927835 = V407447 + 1. assign V172010 = V277468. assign V588965 = V773425. assign V872213 = V116319 + 1. assign V679532 = V277468 - 1. assign V569059 = V431007 + 1. assign V527437 = V550841 + 1. assign V073613 = V308054 - 1. assign V697895 = V383077. assign V116319 = V773425 + 1. assign V760011 = V852700 - 1. assign V550841 = V144547. assign V431007 = V116319. assign V063934 = V238939 + 1. assign V355703 = V773425 - 1. assign V383077 = 10. assign V058069 = V066426 + 1. assign V813481 = V550841 - 1. assign V879690 = V813481 - 1. assign V794845 = V073613. assign V308054 = V238939 - 1. assign V715911 = V851767 + 1. assign V919641 = V166616 - 1. assign V176875 = V339774 - 1. assign V576006 = V739157 - 1. assign V277424 = V773425. assign V196319 = V693754 - 1. assign V653508 = V114919 + 1. assign V238939 = V773425. assign V593617 = V919588 + 1. assign V327784 = V308054 + 1. assign V114919 = V919588 - 1. assign V052211 = V327784 - 1. assign V966585 = V773425. assign V568501 = V588965 + 1. assign V166616 = V077423. assign V919588 = V773425. assign V767484 = V327784 - 1. assign V847341 = V851767 - 1. assign V673341 = V179257 - 1. assign V504788 = V739157 + 1. assign V276309 = V114919 - 1. assign V339774 = V077423 - 1. assign V879183 = V715911 + 1. assign V548191 = V504788. assign V826012 = V879183. assign V606243 = V179257 - 1. assign V943982 = V295032 - 1. assign V746766 = V066426. assign V109714 = V803651 - 1. assign V803651 = V077423 + 1. assign V591227 = V847341 - 1. assign V121406 = V250275. assign V780047 = V961020 + 1. assign V872636 = V773425 - 1. assign V851767 = V943982 + 1. assign V143608 = V523890 - 1. assign V377150 = V773425 + 1. assign V577582 = V921140. assign V852700 = V179257. assign V077423 = V693754.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV383077 = 10;\n\nFrom these direct assignment(s), we have: \nV697895 = V383077 = 10;\nNo other variables can be derived from V697895;\nNo other variables can be derived from V383077;\n\nNow we have done all the calculations. Derived variables are:\nV383077 = 10;\nV697895 = 10;\n\nNow we have finished this problem. ANSWER:\nV383077, V697895\n", "role": "assistant" } ]

[ "V514418", "V473750" ]

[ { "content": "<context>\nassign V173267 = V758483 - 1. assign V451268 = V740205 + 1. assign V811997 = V281825. assign V692857 = V747343 - 1. assign V924806 = V714239 + 1. assign V514418 = 3. assign V402038 = V751179. assign V570283 = V319933. assign V740266 = V451268 - 1. assign V848596 = V249712 + 1. assign V891668 = V044036 - 1. assign V659891 = V726684. assign V234797 = V008961 + 1. assign V493903 = V570283 + 1. assign V426028 = V131478 + 1. assign V293499 = V249712 + 1. assign V893393 = V851601 + 1. assign V617713 = V133971. assign V483105 = V281825. assign V441240 = V175715. assign V747343 = V848596 - 1. assign V385783 = V119794 + 1. assign V774784 = V809628 - 1. assign V598395 = V797927 + 1. assign V534827 = V747343. assign V648856 = V971874. assign V971874 = V570283 + 1. assign V131478 = V848596 - 1. assign V227865 = V758483 + 1. assign V777065 = V483105 + 1. assign V719005 = V714239. assign V133971 = V740205. assign V797927 = V848596 + 1. assign V584743 = V611047 + 1. assign V494193 = V175715 - 1. assign V853838 = V828455 - 1. assign V648061 = V495576. assign V911766 = V828455. assign V944625 = V714239 - 1. assign V418997 = V751179 - 1. assign V735047 = V492401 - 1. assign V980666 = V644272 - 1. assign V184141 = V131478. assign V008961 = V944625. assign V644272 = V426028. assign V907188 = V238985 + 1. assign V822113 = V758483 + 1. assign V504162 = V951426. assign V307351 = V249712. assign V758483 = V293499. assign V506013 = V184141. assign V951426 = V944625 - 1. assign V044036 = V758483 - 1. assign V379788 = V811997 - 1. assign V119794 = V797927. assign V740205 = V971874. assign V263236 = V809628 + 1. assign V851601 = V797927 + 1. assign V743698 = V911766. assign V278810 = V307351. assign V175715 = V495576 + 1. assign V313686 = V278810. assign V574798 = V119794 + 1. assign V351702 = V740205 + 1. assign V880911 = V738568 + 1. assign V954894 = V719005 - 1. assign V828455 = V293499 + 1. assign V785424 = V758483 + 1. assign V319933 = V747343 - 1. assign V495576 = V611047 - 1. assign V809628 = V598395 + 1. assign V967637 = V281825. assign V923178 = V971874 - 1. assign V726684 = V951426. assign V473750 = V514418. assign V871066 = V483105 - 1. assign V751179 = V570283 - 1. assign V157936 = V738568 + 1. assign V714239 = V249712. assign V611047 = V911766 + 1. assign V281825 = V911766 + 1. assign V492401 = V574798 - 1. assign V848992 = V848596 + 1. assign V738568 = V797927 - 1. assign V714132 = V495576. assign V238985 = V853838.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V173267 = V758483 - 1. assign V451268 = V740205 + 1. assign V811997 = V281825. assign V692857 = V747343 - 1. assign V924806 = V714239 + 1. assign V514418 = 3. assign V402038 = V751179. assign V570283 = V319933. assign V740266 = V451268 - 1. assign V848596 = V249712 + 1. assign V891668 = V044036 - 1. assign V659891 = V726684. assign V234797 = V008961 + 1. assign V493903 = V570283 + 1. assign V426028 = V131478 + 1. assign V293499 = V249712 + 1. assign V893393 = V851601 + 1. assign V617713 = V133971. assign V483105 = V281825. assign V441240 = V175715. assign V747343 = V848596 - 1. assign V385783 = V119794 + 1. assign V774784 = V809628 - 1. assign V598395 = V797927 + 1. assign V534827 = V747343. assign V648856 = V971874. assign V971874 = V570283 + 1. assign V131478 = V848596 - 1. assign V227865 = V758483 + 1. assign V777065 = V483105 + 1. assign V719005 = V714239. assign V133971 = V740205. assign V797927 = V848596 + 1. assign V584743 = V611047 + 1. assign V494193 = V175715 - 1. assign V853838 = V828455 - 1. assign V648061 = V495576. assign V911766 = V828455. assign V944625 = V714239 - 1. assign V418997 = V751179 - 1. assign V735047 = V492401 - 1. assign V980666 = V644272 - 1. assign V184141 = V131478. assign V008961 = V944625. assign V644272 = V426028. assign V907188 = V238985 + 1. assign V822113 = V758483 + 1. assign V504162 = V951426. assign V307351 = V249712. assign V758483 = V293499. assign V506013 = V184141. assign V951426 = V944625 - 1. assign V044036 = V758483 - 1. assign V379788 = V811997 - 1. assign V119794 = V797927. assign V740205 = V971874. assign V263236 = V809628 + 1. assign V851601 = V797927 + 1. assign V743698 = V911766. assign V278810 = V307351. assign V175715 = V495576 + 1. assign V313686 = V278810. assign V574798 = V119794 + 1. assign V351702 = V740205 + 1. assign V880911 = V738568 + 1. assign V954894 = V719005 - 1. assign V828455 = V293499 + 1. assign V785424 = V758483 + 1. assign V319933 = V747343 - 1. assign V495576 = V611047 - 1. assign V809628 = V598395 + 1. assign V967637 = V281825. assign V923178 = V971874 - 1. assign V726684 = V951426. assign V473750 = V514418. assign V871066 = V483105 - 1. assign V751179 = V570283 - 1. assign V157936 = V738568 + 1. assign V714239 = V249712. assign V611047 = V911766 + 1. assign V281825 = V911766 + 1. assign V492401 = V574798 - 1. assign V848992 = V848596 + 1. assign V738568 = V797927 - 1. assign V714132 = V495576. assign V238985 = V853838.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV514418 = 3;\n\nFrom these direct assignment(s), we have: \nV473750 = V514418 = 3;\nNo other variables can be derived from V473750;\nNo other variables can be derived from V514418;\n\nNow we have done all the calculations. Derived variables are:\nV514418 = 3;\nV473750 = 3;\n\nNow we have finished this problem. ANSWER:\nV514418, V473750\n", "role": "assistant" } ]

[ "V902871" ]

[ { "content": "<context>\nassign V536663 = V830736 - 1. assign V954153 = V084600 - 1. assign V467484 = V359487 - 1. assign V756238 = V642411 + 1. assign V110133 = V579311 - 1. assign V588419 = V756238. assign V425621 = V579311. assign V836014 = V701971 + 1. assign V011399 = V642411. assign V586686 = V642411. assign V256989 = V337021. assign V693409 = V701971. assign V902871 = V587252 + 1. assign V150553 = V701971 - 1. assign V587252 = 6. assign V413838 = V054061. assign V321943 = V144152 - 1. assign V735814 = V579311 - 1. assign V663094 = V164518 + 1. assign V484319 = V724415 + 1. assign V124601 = V724415 + 1. assign V164518 = V601112 - 1. assign V327686 = V566910 - 1. assign V654645 = V150553 - 1. assign V131915 = V579311 + 1. assign V566910 = V609325 + 1. assign V066090 = V665027 - 1. assign V970244 = V949725 + 1. assign V966934 = V315961 + 1. assign V431333 = V735814. assign V609325 = V344337 + 1. assign V337021 = V725598 - 1. assign V359487 = V164518 + 1. assign V315961 = V011399 + 1. assign V040134 = V642411 + 1. assign V084600 = V588419 - 1. assign V338858 = V665027. assign V633098 = V095557 - 1. assign V537155 = V040134 - 1. assign V597291 = V642411 + 1. assign V049290 = V040134 + 1. assign V980471 = V215118 + 1. assign V492207 = V099068. assign V003086 = V836014. assign V690780 = V536663. assign V526966 = V642411 - 1. assign V054061 = V949725 + 1. assign V223107 = V836014 + 1. assign V340280 = V960667 + 1. assign V096629 = V663094 + 1. assign V156997 = V701971 + 1. assign V725598 = V331044 - 1. assign V665027 = V949725 - 1. assign V701971 = V756238. assign V178749 = V966934. assign V377302 = V949725 + 1. assign V113817 = V642411 + 1. assign V331044 = V642411 + 1. assign V436857 = V156997. assign V647630 = V467484. assign V137711 = V331044 + 1. assign V601112 = V756238 - 1. assign V868222 = V725598 + 1. assign V685710 = V579311. assign V724415 = V315961 + 1. assign V138373 = V642411. assign V344337 = V011399. assign V099068 = V601112 + 1. assign V059135 = V830736 + 1. assign V341087 = V725598. assign V442460 = V049290 + 1. assign V144152 = V344337 + 1. assign V126761 = V099068 - 1. assign V960667 = V138373 - 1. assign V830736 = V836014 - 1. assign V946695 = V836014 + 1. assign V846375 = V359487. assign V497961 = V579311 - 1. assign V084001 = V601112 - 1. assign V215118 = V126761 - 1. assign V095557 = V049290 + 1. assign V718462 = V150553 - 1. assign V832741 = V665027 + 1. assign V949725 = V701971 - 1. assign V579311 = V144152. assign V840540 = V537155 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V536663 = V830736 - 1. assign V954153 = V084600 - 1. assign V467484 = V359487 - 1. assign V756238 = V642411 + 1. assign V110133 = V579311 - 1. assign V588419 = V756238. assign V425621 = V579311. assign V836014 = V701971 + 1. assign V011399 = V642411. assign V586686 = V642411. assign V256989 = V337021. assign V693409 = V701971. assign V902871 = V587252 + 1. assign V150553 = V701971 - 1. assign V587252 = 6. assign V413838 = V054061. assign V321943 = V144152 - 1. assign V735814 = V579311 - 1. assign V663094 = V164518 + 1. assign V484319 = V724415 + 1. assign V124601 = V724415 + 1. assign V164518 = V601112 - 1. assign V327686 = V566910 - 1. assign V654645 = V150553 - 1. assign V131915 = V579311 + 1. assign V566910 = V609325 + 1. assign V066090 = V665027 - 1. assign V970244 = V949725 + 1. assign V966934 = V315961 + 1. assign V431333 = V735814. assign V609325 = V344337 + 1. assign V337021 = V725598 - 1. assign V359487 = V164518 + 1. assign V315961 = V011399 + 1. assign V040134 = V642411 + 1. assign V084600 = V588419 - 1. assign V338858 = V665027. assign V633098 = V095557 - 1. assign V537155 = V040134 - 1. assign V597291 = V642411 + 1. assign V049290 = V040134 + 1. assign V980471 = V215118 + 1. assign V492207 = V099068. assign V003086 = V836014. assign V690780 = V536663. assign V526966 = V642411 - 1. assign V054061 = V949725 + 1. assign V223107 = V836014 + 1. assign V340280 = V960667 + 1. assign V096629 = V663094 + 1. assign V156997 = V701971 + 1. assign V725598 = V331044 - 1. assign V665027 = V949725 - 1. assign V701971 = V756238. assign V178749 = V966934. assign V377302 = V949725 + 1. assign V113817 = V642411 + 1. assign V331044 = V642411 + 1. assign V436857 = V156997. assign V647630 = V467484. assign V137711 = V331044 + 1. assign V601112 = V756238 - 1. assign V868222 = V725598 + 1. assign V685710 = V579311. assign V724415 = V315961 + 1. assign V138373 = V642411. assign V344337 = V011399. assign V099068 = V601112 + 1. assign V059135 = V830736 + 1. assign V341087 = V725598. assign V442460 = V049290 + 1. assign V144152 = V344337 + 1. assign V126761 = V099068 - 1. assign V960667 = V138373 - 1. assign V830736 = V836014 - 1. assign V946695 = V836014 + 1. assign V846375 = V359487. assign V497961 = V579311 - 1. assign V084001 = V601112 - 1. assign V215118 = V126761 - 1. assign V095557 = V049290 + 1. assign V718462 = V150553 - 1. assign V832741 = V665027 + 1. assign V949725 = V701971 - 1. assign V579311 = V144152. assign V840540 = V537155 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV587252 = 6;\n\nFrom these direct assignment(s), we have: \nV902871 = V587252 + 1 = 6 + 1 =7;\nNo other variables can be derived from V902871;\nNo other variables can be derived from V587252;\n\nNow we have done all the calculations. Derived variables are:\nV587252 = 6;\nV902871 = 7;\n\nNow we have finished this problem. ANSWER:\nV902871\n", "role": "assistant" } ]

[ "V889063" ]

[ { "content": "<context>\nassign V279385 = V797932 - 1. assign V921708 = V378742. assign V151543 = V242431 - 1. assign V193196 = V738705 - 1. assign V607952 = V098039. assign V553473 = V031097 - 1. assign V311344 = V233300. assign V242431 = V736758. assign V797932 = V623610. assign V085243 = V298156. assign V738705 = V860979 - 1. assign V763486 = V553473 + 1. assign V916920 = V060744 - 1. assign V202251 = V325994 - 1. assign V665957 = V325994 - 1. assign V042731 = V866107 + 1. assign V390216 = V233300. assign V722140 = 7. assign V736758 = V098039. assign V931669 = V387256 + 1. assign V866107 = V665957 - 1. assign V571515 = V166809 + 1. assign V146008 = V085243 + 1. assign V623610 = V098039 + 1. assign V166809 = V070022 - 1. assign V297863 = V042731. assign V646477 = V672424. assign V283161 = V375718. assign V751134 = V344676 - 1. assign V344676 = V860979. assign V098039 = V860979 - 1. assign V895840 = V067785 + 1. assign V208930 = V458906. assign V356015 = V682701 - 1. assign V128431 = V146008. assign V161797 = V665957 - 1. assign V381847 = V738705 + 1. assign V458906 = V607952 - 1. assign V303993 = V866107. assign V925663 = V763486 + 1. assign V586011 = V451988 - 1. assign V684699 = V060744 - 1. assign V939197 = V297863 + 1. assign V344144 = V882341 - 1. assign V875125 = V390216. assign V031097 = V960800. assign V889063 = V722140 - 1. assign V435767 = V128431 + 1. assign V802500 = V665957 + 1. assign V960800 = V931669. assign V325994 = V860979. assign V346463 = V344144 - 1. assign V453668 = V672424. assign V451988 = V684699 - 1. assign V794781 = V921708 + 1. assign V411193 = V303993 + 1. assign V375718 = V344676 + 1. assign V060744 = V272831 - 1. assign V530319 = V344144 + 1. assign V483359 = V646477 - 1. assign V070022 = V098039 + 1. assign V488422 = V070022 - 1. assign V644763 = V925663 - 1. assign V684948 = V684699 + 1. assign V272831 = V960800 - 1. assign V672424 = V387256. assign V682701 = V960800 + 1. assign V808304 = V098039 + 1. assign V882341 = V860979 + 1. assign V954293 = V297863. assign V531118 = V882341 - 1. assign V378742 = V882341 + 1. assign V298156 = V860979. assign V931545 = V390216 + 1. assign V233300 = V860979 - 1. assign V486504 = V458906. assign V171879 = V298156 - 1. assign V312219 = V738705. assign V008134 = V665957 + 1. assign V344782 = V098039 + 1. assign V000543 = V466314 + 1. assign V067785 = V387256 - 1. assign V466314 = V954293 + 1. assign V946388 = V008134 + 1. assign V860979 = V931669 + 1. assign V856740 = V161797 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V279385 = V797932 - 1. assign V921708 = V378742. assign V151543 = V242431 - 1. assign V193196 = V738705 - 1. assign V607952 = V098039. assign V553473 = V031097 - 1. assign V311344 = V233300. assign V242431 = V736758. assign V797932 = V623610. assign V085243 = V298156. assign V738705 = V860979 - 1. assign V763486 = V553473 + 1. assign V916920 = V060744 - 1. assign V202251 = V325994 - 1. assign V665957 = V325994 - 1. assign V042731 = V866107 + 1. assign V390216 = V233300. assign V722140 = 7. assign V736758 = V098039. assign V931669 = V387256 + 1. assign V866107 = V665957 - 1. assign V571515 = V166809 + 1. assign V146008 = V085243 + 1. assign V623610 = V098039 + 1. assign V166809 = V070022 - 1. assign V297863 = V042731. assign V646477 = V672424. assign V283161 = V375718. assign V751134 = V344676 - 1. assign V344676 = V860979. assign V098039 = V860979 - 1. assign V895840 = V067785 + 1. assign V208930 = V458906. assign V356015 = V682701 - 1. assign V128431 = V146008. assign V161797 = V665957 - 1. assign V381847 = V738705 + 1. assign V458906 = V607952 - 1. assign V303993 = V866107. assign V925663 = V763486 + 1. assign V586011 = V451988 - 1. assign V684699 = V060744 - 1. assign V939197 = V297863 + 1. assign V344144 = V882341 - 1. assign V875125 = V390216. assign V031097 = V960800. assign V889063 = V722140 - 1. assign V435767 = V128431 + 1. assign V802500 = V665957 + 1. assign V960800 = V931669. assign V325994 = V860979. assign V346463 = V344144 - 1. assign V453668 = V672424. assign V451988 = V684699 - 1. assign V794781 = V921708 + 1. assign V411193 = V303993 + 1. assign V375718 = V344676 + 1. assign V060744 = V272831 - 1. assign V530319 = V344144 + 1. assign V483359 = V646477 - 1. assign V070022 = V098039 + 1. assign V488422 = V070022 - 1. assign V644763 = V925663 - 1. assign V684948 = V684699 + 1. assign V272831 = V960800 - 1. assign V672424 = V387256. assign V682701 = V960800 + 1. assign V808304 = V098039 + 1. assign V882341 = V860979 + 1. assign V954293 = V297863. assign V531118 = V882341 - 1. assign V378742 = V882341 + 1. assign V298156 = V860979. assign V931545 = V390216 + 1. assign V233300 = V860979 - 1. assign V486504 = V458906. assign V171879 = V298156 - 1. assign V312219 = V738705. assign V008134 = V665957 + 1. assign V344782 = V098039 + 1. assign V000543 = V466314 + 1. assign V067785 = V387256 - 1. assign V466314 = V954293 + 1. assign V946388 = V008134 + 1. assign V860979 = V931669 + 1. assign V856740 = V161797 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV722140 = 7;\n\nFrom these direct assignment(s), we have: \nV889063 = V722140 - 1 = 7 - 1 =6;\nNo other variables can be derived from V889063;\nNo other variables can be derived from V722140;\n\nNow we have done all the calculations. Derived variables are:\nV722140 = 7;\nV889063 = 6;\n\nNow we have finished this problem. ANSWER:\nV889063\n", "role": "assistant" } ]