Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k

like 0

[ "V913351" ]

[ { "content": "<context>\nassign V075229 = V619330. assign V085706 = V524302 + 1. assign V126618 = V932218. assign V655826 = V748808. assign V234719 = V624331. assign V520912 = V880086 - 1. assign V852552 = V926737. assign V392907 = V079995. assign V089083 = V932218. assign V997691 = V291972 + 1. assign V253203 = V520912 + 1. assign V863611 = V624331. assign V291972 = V932218. assign V328020 = V008455. assign V489442 = V631057. assign V292371 = V113610 + 1. assign V541157 = V750184. assign V244079 = V396051 - 1. assign V149862 = V008455 + 1. assign V511577 = V524302 - 1. assign V727695 = V624331 - 1. assign V722196 = V113610 - 1. assign V880086 = V149862 - 1. assign V896138 = V954688 - 1. assign V356034 = V113610 + 1. assign V567214 = V388929. assign V871876 = V520912. assign V384169 = 7. assign V039279 = V430931 - 1. assign V724941 = V619330 + 1. assign V631627 = V388929 - 1. assign V301417 = V750184 + 1. assign V003713 = V624331. assign V708303 = V008455. assign V704613 = V169246 - 1. assign V978497 = V075229 - 1. assign V506200 = V392907. assign V926737 = V851209. assign V851209 = V863611. assign V638400 = V336676. assign V336676 = V748808 - 1. assign V008455 = V113610. assign V388929 = V863611 - 1. assign V084499 = V291972 - 1. assign V748808 = V388929 + 1. assign V353756 = V253203 + 1. assign V291614 = V625542 - 1. assign V698383 = V871876 - 1. assign V779103 = V003713 - 1. assign V625542 = V451671 + 1. assign V937797 = V624331. assign V074615 = V008455 - 1. assign V619330 = V113610. assign V169246 = V932218 - 1. assign V451671 = V234719 + 1. assign V562760 = V748808 + 1. assign V345001 = V768551 - 1. assign V079995 = V003713 - 1. assign V932218 = V149862 - 1. assign V396051 = V727695 - 1. assign V749051 = V625542. assign V768551 = V997691. assign V187174 = V863611 + 1. assign V878554 = V863611 + 1. assign V491533 = V708303. assign V753050 = V353756 - 1. assign V524302 = V997691 + 1. assign V508253 = V039279 + 1. assign V660941 = V880086. assign V841405 = V724941. assign V822034 = V520912 - 1. assign V534701 = V149862. assign V745461 = V524302 + 1. assign V750184 = V880086 - 1. assign V113610 = V624331. assign V478128 = V567214 + 1. assign V732856 = V750184. assign V426125 = V926737. assign V423938 = V878554 + 1. assign V913351 = V384169 - 1. assign V597908 = V008455 - 1. assign V954688 = V003713 - 1. assign V149917 = V932218 + 1. assign V631057 = V880086 + 1. assign V852329 = V704613 + 1. assign V430931 = V619330.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V075229 = V619330. assign V085706 = V524302 + 1. assign V126618 = V932218. assign V655826 = V748808. assign V234719 = V624331. assign V520912 = V880086 - 1. assign V852552 = V926737. assign V392907 = V079995. assign V089083 = V932218. assign V997691 = V291972 + 1. assign V253203 = V520912 + 1. assign V863611 = V624331. assign V291972 = V932218. assign V328020 = V008455. assign V489442 = V631057. assign V292371 = V113610 + 1. assign V541157 = V750184. assign V244079 = V396051 - 1. assign V149862 = V008455 + 1. assign V511577 = V524302 - 1. assign V727695 = V624331 - 1. assign V722196 = V113610 - 1. assign V880086 = V149862 - 1. assign V896138 = V954688 - 1. assign V356034 = V113610 + 1. assign V567214 = V388929. assign V871876 = V520912. assign V384169 = 7. assign V039279 = V430931 - 1. assign V724941 = V619330 + 1. assign V631627 = V388929 - 1. assign V301417 = V750184 + 1. assign V003713 = V624331. assign V708303 = V008455. assign V704613 = V169246 - 1. assign V978497 = V075229 - 1. assign V506200 = V392907. assign V926737 = V851209. assign V851209 = V863611. assign V638400 = V336676. assign V336676 = V748808 - 1. assign V008455 = V113610. assign V388929 = V863611 - 1. assign V084499 = V291972 - 1. assign V748808 = V388929 + 1. assign V353756 = V253203 + 1. assign V291614 = V625542 - 1. assign V698383 = V871876 - 1. assign V779103 = V003713 - 1. assign V625542 = V451671 + 1. assign V937797 = V624331. assign V074615 = V008455 - 1. assign V619330 = V113610. assign V169246 = V932218 - 1. assign V451671 = V234719 + 1. assign V562760 = V748808 + 1. assign V345001 = V768551 - 1. assign V079995 = V003713 - 1. assign V932218 = V149862 - 1. assign V396051 = V727695 - 1. assign V749051 = V625542. assign V768551 = V997691. assign V187174 = V863611 + 1. assign V878554 = V863611 + 1. assign V491533 = V708303. assign V753050 = V353756 - 1. assign V524302 = V997691 + 1. assign V508253 = V039279 + 1. assign V660941 = V880086. assign V841405 = V724941. assign V822034 = V520912 - 1. assign V534701 = V149862. assign V745461 = V524302 + 1. assign V750184 = V880086 - 1. assign V113610 = V624331. assign V478128 = V567214 + 1. assign V732856 = V750184. assign V426125 = V926737. assign V423938 = V878554 + 1. assign V913351 = V384169 - 1. assign V597908 = V008455 - 1. assign V954688 = V003713 - 1. assign V149917 = V932218 + 1. assign V631057 = V880086 + 1. assign V852329 = V704613 + 1. assign V430931 = V619330.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV384169 = 7;\n\nFrom these direct assignment(s), we have: \nV913351 = V384169 - 1 = 7 - 1 =6;\nNo other variables can be derived from V913351;\nNo other variables can be derived from V384169;\n\nNow we have done all the calculations. Derived variables are:\nV384169 = 7;\nV913351 = 6;\n\nNow we have finished this problem. ANSWER:\nV913351\n", "role": "assistant" } ]

[ "V779194" ]

[ { "content": "<context>\nassign V091865 = V576110 + 1. assign V303722 = V853943 + 1. assign V091079 = V082941. assign V337238 = V672006. assign V176399 = V690951 + 1. assign V697637 = V933761 + 1. assign V160601 = V690951. assign V313305 = V576110 + 1. assign V559628 = V195537 + 1. assign V929774 = V933761 - 1. assign V672006 = V176399 - 1. assign V868302 = V091079. assign V655909 = V266455. assign V552239 = V155777. assign V732842 = V317693 - 1. assign V017408 = V078548 - 1. assign V920360 = V248140 + 1. assign V797022 = V017408 - 1. assign V855308 = V091865 - 1. assign V195537 = V078548. assign V049957 = V466101. assign V101232 = V203789. assign V337202 = V160601 - 1. assign V446465 = V303722 - 1. assign V466101 = V690951 - 1. assign V678383 = V369104. assign V435203 = V278884 - 1. assign V754814 = V362820 + 1. assign V082941 = V466101 + 1. assign V928207 = V832688. assign V150040 = V853943 + 1. assign V312343 = V928207 - 1. assign V499554 = V732842 + 1. assign V123495 = V892288. assign V576110 = V312343 - 1. assign V587095 = V176399. assign V233476 = V337202 - 1. assign V558189 = V514562 + 1. assign V051512 = V779194 + 1. assign V500124 = V771639 + 1. assign V442480 = V868302 - 1. assign V771639 = V176399. assign V514562 = V853943. assign V779194 = 5. assign V902162 = V055098 + 1. assign V324095 = V176399 + 1. assign V278884 = V690951 + 1. assign V768404 = V514562 - 1. assign V036305 = V160601 + 1. assign V248140 = V744327. assign V744327 = V160601. assign V203789 = V446465 + 1. assign V067587 = V055098. assign V266455 = V078548 + 1. assign V775492 = V446465 - 1. assign V273920 = V078548 - 1. assign V392595 = V499453. assign V065100 = V832688 - 1. assign V922885 = V613375 - 1. assign V681328 = V732842 + 1. assign V716193 = V303722 + 1. assign V613375 = V176399 - 1. assign V464378 = V195537 - 1. assign V970309 = V036305. assign V155777 = V744327. assign V745254 = V446465 - 1. assign V937333 = V499453 - 1. assign V374307 = V317693. assign V933761 = V055098 - 1. assign V365164 = V466101 - 1. assign V100010 = V754814 - 1. assign V369104 = V078548 - 1. assign V464420 = V922885 - 1. assign V317693 = V195537 - 1. assign V723535 = V928207 + 1. assign V710920 = V049957 + 1. assign V892288 = V672006. assign V309951 = V082941 - 1. assign V362820 = V078548 - 1. assign V499453 = V078548. assign V832688 = V853943 + 1. assign V512579 = V892288 - 1. assign V055098 = V466101 + 1. assign V902133 = V442480 + 1. assign V690951 = V514562 - 1. assign V078548 = V514562 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V091865 = V576110 + 1. assign V303722 = V853943 + 1. assign V091079 = V082941. assign V337238 = V672006. assign V176399 = V690951 + 1. assign V697637 = V933761 + 1. assign V160601 = V690951. assign V313305 = V576110 + 1. assign V559628 = V195537 + 1. assign V929774 = V933761 - 1. assign V672006 = V176399 - 1. assign V868302 = V091079. assign V655909 = V266455. assign V552239 = V155777. assign V732842 = V317693 - 1. assign V017408 = V078548 - 1. assign V920360 = V248140 + 1. assign V797022 = V017408 - 1. assign V855308 = V091865 - 1. assign V195537 = V078548. assign V049957 = V466101. assign V101232 = V203789. assign V337202 = V160601 - 1. assign V446465 = V303722 - 1. assign V466101 = V690951 - 1. assign V678383 = V369104. assign V435203 = V278884 - 1. assign V754814 = V362820 + 1. assign V082941 = V466101 + 1. assign V928207 = V832688. assign V150040 = V853943 + 1. assign V312343 = V928207 - 1. assign V499554 = V732842 + 1. assign V123495 = V892288. assign V576110 = V312343 - 1. assign V587095 = V176399. assign V233476 = V337202 - 1. assign V558189 = V514562 + 1. assign V051512 = V779194 + 1. assign V500124 = V771639 + 1. assign V442480 = V868302 - 1. assign V771639 = V176399. assign V514562 = V853943. assign V779194 = 5. assign V902162 = V055098 + 1. assign V324095 = V176399 + 1. assign V278884 = V690951 + 1. assign V768404 = V514562 - 1. assign V036305 = V160601 + 1. assign V248140 = V744327. assign V744327 = V160601. assign V203789 = V446465 + 1. assign V067587 = V055098. assign V266455 = V078548 + 1. assign V775492 = V446465 - 1. assign V273920 = V078548 - 1. assign V392595 = V499453. assign V065100 = V832688 - 1. assign V922885 = V613375 - 1. assign V681328 = V732842 + 1. assign V716193 = V303722 + 1. assign V613375 = V176399 - 1. assign V464378 = V195537 - 1. assign V970309 = V036305. assign V155777 = V744327. assign V745254 = V446465 - 1. assign V937333 = V499453 - 1. assign V374307 = V317693. assign V933761 = V055098 - 1. assign V365164 = V466101 - 1. assign V100010 = V754814 - 1. assign V369104 = V078548 - 1. assign V464420 = V922885 - 1. assign V317693 = V195537 - 1. assign V723535 = V928207 + 1. assign V710920 = V049957 + 1. assign V892288 = V672006. assign V309951 = V082941 - 1. assign V362820 = V078548 - 1. assign V499453 = V078548. assign V832688 = V853943 + 1. assign V512579 = V892288 - 1. assign V055098 = V466101 + 1. assign V902133 = V442480 + 1. assign V690951 = V514562 - 1. assign V078548 = V514562 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV779194 = 5;\n\nFrom these direct assignment(s), we have: \nV051512 = V779194 + 1 = 5 + 1 =6;\nNo other variables can be derived from V051512;\nNo other variables can be derived from V779194;\n\nNow we have done all the calculations. Derived variables are:\nV779194 = 5;\nV051512 = 6;\n\nNow we have finished this problem. ANSWER:\nV779194\n", "role": "assistant" } ]

[ "V224466" ]

[ { "content": "<context>\nassign V624529 = V421864. assign V386344 = V525239 + 1. assign V907983 = V690212 + 1. assign V017483 = V867813. assign V092842 = V029936 - 1. assign V576560 = V654445. assign V838609 = V917466 - 1. assign V160289 = V697665 + 1. assign V694185 = V379038 + 1. assign V734357 = V530473 + 1. assign V471037 = V998331. assign V974339 = V907983 - 1. assign V917466 = V618780 - 1. assign V010169 = V927830 - 1. assign V116689 = V656726 + 1. assign V061985 = V270802 + 1. assign V055089 = V549841. assign V392974 = V664485 + 1. assign V270802 = V998331 + 1. assign V584920 = V471037 - 1. assign V791654 = V386344 + 1. assign V197277 = V175702. assign V851410 = V907983 + 1. assign V611974 = V907983 - 1. assign V067247 = V697665. assign V807834 = V525239 + 1. assign V541208 = V720129 - 1. assign V052080 = V697665 + 1. assign V326264 = V375713 - 1. assign V029615 = V092842. assign V492966 = V974339 - 1. assign V096038 = V029936 + 1. assign V029936 = V248579 + 1. assign V998331 = V197277. assign V315319 = V974339 - 1. assign V378937 = V624529 + 1. assign V302273 = V197277 + 1. assign V148416 = V315319 + 1. assign V786519 = V720129. assign V690212 = V759009 - 1. assign V492751 = 8. assign V668033 = V720129 - 1. assign V815445 = V378937 - 1. assign V678931 = V421864. assign V754929 = V117082 - 1. assign V248579 = V375713 - 1. assign V729928 = V270802 + 1. assign V525239 = V039607. assign V549841 = V386344 - 1. assign V720129 = V375713 - 1. assign V654445 = V856857 - 1. assign V472476 = V375713 - 1. assign V995407 = V720129 - 1. assign V139697 = V471037 + 1. assign V759009 = V248579 - 1. assign V421864 = V039607 + 1. assign V173973 = V815445 - 1. assign V379038 = V678931 + 1. assign V862282 = V791654 - 1. assign V697665 = V856857 - 1. assign V927830 = V375713 + 1. assign V618780 = V678931 + 1. assign V296404 = V175702 + 1. assign V571819 = V807834. assign V039607 = V375713 - 1. assign V224466 = V492751 - 1. assign V022061 = V611974. assign V664485 = V541208. assign V538164 = V055089. assign V059248 = V530473 + 1. assign V530473 = V571819 + 1. assign V656726 = V618780. assign V545899 = V250924. assign V175702 = V421864 - 1. assign V759439 = V807834 - 1. assign V664091 = V571819. assign V250924 = V856857 - 1. assign V203142 = V525239 - 1. assign V318844 = V807834 - 1. assign V453715 = V148416 - 1. assign V856857 = V318844. assign V173959 = V917466 + 1. assign V867813 = V729928 - 1. assign V963838 = V318844 + 1. assign V117082 = V197277 + 1. assign V746565 = V302273 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V624529 = V421864. assign V386344 = V525239 + 1. assign V907983 = V690212 + 1. assign V017483 = V867813. assign V092842 = V029936 - 1. assign V576560 = V654445. assign V838609 = V917466 - 1. assign V160289 = V697665 + 1. assign V694185 = V379038 + 1. assign V734357 = V530473 + 1. assign V471037 = V998331. assign V974339 = V907983 - 1. assign V917466 = V618780 - 1. assign V010169 = V927830 - 1. assign V116689 = V656726 + 1. assign V061985 = V270802 + 1. assign V055089 = V549841. assign V392974 = V664485 + 1. assign V270802 = V998331 + 1. assign V584920 = V471037 - 1. assign V791654 = V386344 + 1. assign V197277 = V175702. assign V851410 = V907983 + 1. assign V611974 = V907983 - 1. assign V067247 = V697665. assign V807834 = V525239 + 1. assign V541208 = V720129 - 1. assign V052080 = V697665 + 1. assign V326264 = V375713 - 1. assign V029615 = V092842. assign V492966 = V974339 - 1. assign V096038 = V029936 + 1. assign V029936 = V248579 + 1. assign V998331 = V197277. assign V315319 = V974339 - 1. assign V378937 = V624529 + 1. assign V302273 = V197277 + 1. assign V148416 = V315319 + 1. assign V786519 = V720129. assign V690212 = V759009 - 1. assign V492751 = 8. assign V668033 = V720129 - 1. assign V815445 = V378937 - 1. assign V678931 = V421864. assign V754929 = V117082 - 1. assign V248579 = V375713 - 1. assign V729928 = V270802 + 1. assign V525239 = V039607. assign V549841 = V386344 - 1. assign V720129 = V375713 - 1. assign V654445 = V856857 - 1. assign V472476 = V375713 - 1. assign V995407 = V720129 - 1. assign V139697 = V471037 + 1. assign V759009 = V248579 - 1. assign V421864 = V039607 + 1. assign V173973 = V815445 - 1. assign V379038 = V678931 + 1. assign V862282 = V791654 - 1. assign V697665 = V856857 - 1. assign V927830 = V375713 + 1. assign V618780 = V678931 + 1. assign V296404 = V175702 + 1. assign V571819 = V807834. assign V039607 = V375713 - 1. assign V224466 = V492751 - 1. assign V022061 = V611974. assign V664485 = V541208. assign V538164 = V055089. assign V059248 = V530473 + 1. assign V530473 = V571819 + 1. assign V656726 = V618780. assign V545899 = V250924. assign V175702 = V421864 - 1. assign V759439 = V807834 - 1. assign V664091 = V571819. assign V250924 = V856857 - 1. assign V203142 = V525239 - 1. assign V318844 = V807834 - 1. assign V453715 = V148416 - 1. assign V856857 = V318844. assign V173959 = V917466 + 1. assign V867813 = V729928 - 1. assign V963838 = V318844 + 1. assign V117082 = V197277 + 1. assign V746565 = V302273 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV492751 = 8;\n\nFrom these direct assignment(s), we have: \nV224466 = V492751 - 1 = 8 - 1 =7;\nNo other variables can be derived from V224466;\nNo other variables can be derived from V492751;\n\nNow we have done all the calculations. Derived variables are:\nV492751 = 8;\nV224466 = 7;\n\nNow we have finished this problem. ANSWER:\nV224466\n", "role": "assistant" } ]

[ "V196521" ]

[ { "content": "<context>\nassign V843085 = V027185 - 1. assign V199244 = V622345 + 1. assign V128271 = V452199 + 1. assign V622345 = V433117. assign V087072 = V610008 - 1. assign V099728 = V328132 - 1. assign V042400 = V843085 - 1. assign V871378 = V288794. assign V328132 = V843085. assign V835223 = V796136. assign V305644 = V505762 + 1. assign V943164 = V843085 + 1. assign V505762 = V147676. assign V679631 = V778417. assign V069038 = V048505 - 1. assign V147676 = V048505 + 1. assign V738741 = V042400 - 1. assign V908553 = V335864 - 1. assign V837583 = V042400 - 1. assign V091790 = V814123. assign V796136 = V433117. assign V521679 = V042400. assign V378559 = V722221 - 1. assign V159815 = V069038 - 1. assign V455036 = V722221. assign V844645 = V350137 + 1. assign V542519 = V345598. assign V627419 = V904122 + 1. assign V725877 = V081457 + 1. assign V778417 = V378559 + 1. assign V313598 = V542519. assign V129911 = V002275 + 1. assign V904122 = V700149. assign V977095 = V843085 + 1. assign V345598 = V081457 + 1. assign V629098 = V328132 - 1. assign V530249 = V837583 - 1. assign V637097 = V629098. assign V968089 = V027185. assign V573199 = V968089. assign V875324 = V048505 + 1. assign V098139 = V926179 - 1. assign V972547 = V943164 - 1. assign V315835 = V253385 - 1. assign V118245 = V129911 - 1. assign V722221 = V977095 - 1. assign V009336 = V253385. assign V023720 = V038635. assign V132121 = V503504. assign V877795 = V345998. assign V743654 = V362418 + 1. assign V098192 = V521679. assign V038635 = V722221 + 1. assign V335864 = V378559 + 1. assign V889268 = V335864 - 1. assign V926179 = V048505 + 1. assign V799416 = V904122 - 1. assign V320342 = V452199 + 1. assign V982071 = V288794 - 1. assign V369940 = V943164 + 1. assign V048505 = V027185 + 1. assign V081457 = V362418 + 1. assign V452199 = V147676 + 1. assign V350137 = V977095. assign V040321 = V350137 - 1. assign V686480 = V796136 + 1. assign V345998 = V968089. assign V362418 = V722221 - 1. assign V801180 = V738741 - 1. assign V253385 = V814123 - 1. assign V700149 = V943164 + 1. assign V004431 = V038635 - 1. assign V490005 = V943164. assign V503504 = V362418. assign V002275 = V147676 - 1. assign V288794 = V350137 - 1. assign V196521 = 6. assign V359716 = V926179 - 1. assign V814123 = V943164 - 1. assign V610008 = V042400 + 1. assign V085998 = V452199 + 1. assign V433117 = V977095 + 1. assign V606073 = V843085. assign V700009 = V977095. assign V051441 = V196521 + 1. assign V816959 = V977095 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V843085 = V027185 - 1. assign V199244 = V622345 + 1. assign V128271 = V452199 + 1. assign V622345 = V433117. assign V087072 = V610008 - 1. assign V099728 = V328132 - 1. assign V042400 = V843085 - 1. assign V871378 = V288794. assign V328132 = V843085. assign V835223 = V796136. assign V305644 = V505762 + 1. assign V943164 = V843085 + 1. assign V505762 = V147676. assign V679631 = V778417. assign V069038 = V048505 - 1. assign V147676 = V048505 + 1. assign V738741 = V042400 - 1. assign V908553 = V335864 - 1. assign V837583 = V042400 - 1. assign V091790 = V814123. assign V796136 = V433117. assign V521679 = V042400. assign V378559 = V722221 - 1. assign V159815 = V069038 - 1. assign V455036 = V722221. assign V844645 = V350137 + 1. assign V542519 = V345598. assign V627419 = V904122 + 1. assign V725877 = V081457 + 1. assign V778417 = V378559 + 1. assign V313598 = V542519. assign V129911 = V002275 + 1. assign V904122 = V700149. assign V977095 = V843085 + 1. assign V345598 = V081457 + 1. assign V629098 = V328132 - 1. assign V530249 = V837583 - 1. assign V637097 = V629098. assign V968089 = V027185. assign V573199 = V968089. assign V875324 = V048505 + 1. assign V098139 = V926179 - 1. assign V972547 = V943164 - 1. assign V315835 = V253385 - 1. assign V118245 = V129911 - 1. assign V722221 = V977095 - 1. assign V009336 = V253385. assign V023720 = V038635. assign V132121 = V503504. assign V877795 = V345998. assign V743654 = V362418 + 1. assign V098192 = V521679. assign V038635 = V722221 + 1. assign V335864 = V378559 + 1. assign V889268 = V335864 - 1. assign V926179 = V048505 + 1. assign V799416 = V904122 - 1. assign V320342 = V452199 + 1. assign V982071 = V288794 - 1. assign V369940 = V943164 + 1. assign V048505 = V027185 + 1. assign V081457 = V362418 + 1. assign V452199 = V147676 + 1. assign V350137 = V977095. assign V040321 = V350137 - 1. assign V686480 = V796136 + 1. assign V345998 = V968089. assign V362418 = V722221 - 1. assign V801180 = V738741 - 1. assign V253385 = V814123 - 1. assign V700149 = V943164 + 1. assign V004431 = V038635 - 1. assign V490005 = V943164. assign V503504 = V362418. assign V002275 = V147676 - 1. assign V288794 = V350137 - 1. assign V196521 = 6. assign V359716 = V926179 - 1. assign V814123 = V943164 - 1. assign V610008 = V042400 + 1. assign V085998 = V452199 + 1. assign V433117 = V977095 + 1. assign V606073 = V843085. assign V700009 = V977095. assign V051441 = V196521 + 1. assign V816959 = V977095 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV196521 = 6;\n\nFrom these direct assignment(s), we have: \nV051441 = V196521 + 1 = 6 + 1 =7;\nNo other variables can be derived from V051441;\nNo other variables can be derived from V196521;\n\nNow we have done all the calculations. Derived variables are:\nV196521 = 6;\nV051441 = 7;\n\nNow we have finished this problem. ANSWER:\nV196521\n", "role": "assistant" } ]

[ "V368544" ]

[ { "content": "<context>\nassign V303017 = V039338 + 1. assign V436230 = V039338 - 1. assign V443809 = V501262. assign V364654 = V701618 - 1. assign V376201 = V505915 - 1. assign V173004 = V800874 - 1. assign V959019 = V971529. assign V142068 = V194486. assign V005767 = V751658 - 1. assign V428843 = V733276 + 1. assign V243201 = V770622 - 1. assign V780304 = V295547. assign V907391 = V050924 - 1. assign V956963 = V804597. assign V593239 = V613031. assign V613031 = V950923. assign V958158 = V712072 + 1. assign V804597 = V613031. assign V752046 = V108146 + 1. assign V473164 = V428843. assign V751658 = V955575. assign V210320 = V129311 - 1. assign V709010 = V907001 + 1. assign V420448 = V751658. assign V750908 = V442125 + 1. assign V501262 = V963411. assign V733276 = V129311. assign V898756 = V546790 + 1. assign V800874 = V050924 + 1. assign V078357 = V722667 + 1. assign V978884 = V368544 - 1. assign V217076 = V210320. assign V278197 = V078357 + 1. assign V736226 = V963411 - 1. assign V872973 = V770622 + 1. assign V500703 = V955575. assign V470154 = V733276 + 1. assign V048275 = V050924. assign V478201 = V597846. assign V039338 = V470154 + 1. assign V973665 = V478201 + 1. assign V568870 = V443809 - 1. assign V151955 = V157809. assign V561887 = V022644 - 1. assign V292432 = V546790. assign V108146 = V470154. assign V274154 = V770622 - 1. assign V632483 = V898756. assign V295547 = V613031. assign V022644 = V736226 - 1. assign V712072 = V501262. assign V012795 = V210320 - 1. assign V157809 = V770622 + 1. assign V050924 = V872973. assign V646394 = V546790 + 1. assign V367775 = V217076 + 1. assign V722620 = V597846. assign V770622 = V733276 + 1. assign V759967 = V442125. assign V194486 = V039338 + 1. assign V368544 = 1. assign V090384 = V442125 + 1. assign V285309 = V950923 + 1. assign V919055 = V963411 - 1. assign V019594 = V108146. assign V390887 = V048275 - 1. assign V900116 = V078357 - 1. assign V546790 = V157809 - 1. assign V955575 = V442125 - 1. assign V715018 = V593239. assign V764591 = V048275 - 1. assign V971529 = V470154 - 1. assign V829268 = V501262 - 1. assign V722667 = V292432. assign V442125 = V872973 - 1. assign V963411 = V129311. assign V950923 = V872973 + 1. assign V701618 = V872973 - 1. assign V106785 = V210320 + 1. assign V917756 = V217076 - 1. assign V190726 = V050924 - 1. assign V505915 = V733276 - 1. assign V905218 = V751658. assign V907001 = V050924. assign V192471 = V613031 + 1. assign V597846 = V764591 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V303017 = V039338 + 1. assign V436230 = V039338 - 1. assign V443809 = V501262. assign V364654 = V701618 - 1. assign V376201 = V505915 - 1. assign V173004 = V800874 - 1. assign V959019 = V971529. assign V142068 = V194486. assign V005767 = V751658 - 1. assign V428843 = V733276 + 1. assign V243201 = V770622 - 1. assign V780304 = V295547. assign V907391 = V050924 - 1. assign V956963 = V804597. assign V593239 = V613031. assign V613031 = V950923. assign V958158 = V712072 + 1. assign V804597 = V613031. assign V752046 = V108146 + 1. assign V473164 = V428843. assign V751658 = V955575. assign V210320 = V129311 - 1. assign V709010 = V907001 + 1. assign V420448 = V751658. assign V750908 = V442125 + 1. assign V501262 = V963411. assign V733276 = V129311. assign V898756 = V546790 + 1. assign V800874 = V050924 + 1. assign V078357 = V722667 + 1. assign V978884 = V368544 - 1. assign V217076 = V210320. assign V278197 = V078357 + 1. assign V736226 = V963411 - 1. assign V872973 = V770622 + 1. assign V500703 = V955575. assign V470154 = V733276 + 1. assign V048275 = V050924. assign V478201 = V597846. assign V039338 = V470154 + 1. assign V973665 = V478201 + 1. assign V568870 = V443809 - 1. assign V151955 = V157809. assign V561887 = V022644 - 1. assign V292432 = V546790. assign V108146 = V470154. assign V274154 = V770622 - 1. assign V632483 = V898756. assign V295547 = V613031. assign V022644 = V736226 - 1. assign V712072 = V501262. assign V012795 = V210320 - 1. assign V157809 = V770622 + 1. assign V050924 = V872973. assign V646394 = V546790 + 1. assign V367775 = V217076 + 1. assign V722620 = V597846. assign V770622 = V733276 + 1. assign V759967 = V442125. assign V194486 = V039338 + 1. assign V368544 = 1. assign V090384 = V442125 + 1. assign V285309 = V950923 + 1. assign V919055 = V963411 - 1. assign V019594 = V108146. assign V390887 = V048275 - 1. assign V900116 = V078357 - 1. assign V546790 = V157809 - 1. assign V955575 = V442125 - 1. assign V715018 = V593239. assign V764591 = V048275 - 1. assign V971529 = V470154 - 1. assign V829268 = V501262 - 1. assign V722667 = V292432. assign V442125 = V872973 - 1. assign V963411 = V129311. assign V950923 = V872973 + 1. assign V701618 = V872973 - 1. assign V106785 = V210320 + 1. assign V917756 = V217076 - 1. assign V190726 = V050924 - 1. assign V505915 = V733276 - 1. assign V905218 = V751658. assign V907001 = V050924. assign V192471 = V613031 + 1. assign V597846 = V764591 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV368544 = 1;\n\nFrom these direct assignment(s), we have: \nV978884 = V368544 - 1 = 1 - 1 =0;\nNo other variables can be derived from V978884;\nNo other variables can be derived from V368544;\n\nNow we have done all the calculations. Derived variables are:\nV368544 = 1;\nV978884 = 0;\n\nNow we have finished this problem. ANSWER:\nV368544\n", "role": "assistant" } ]

[ "V999638", "V234683" ]

[ { "content": "<context>\nassign V302037 = V600721 - 1. assign V652637 = V978857. assign V824400 = V956047 - 1. assign V353295 = V466855 + 1. assign V428440 = V736618. assign V237792 = V600721 - 1. assign V707788 = V312435. assign V694531 = V747337. assign V673071 = V524668. assign V310569 = V515235 - 1. assign V747337 = V057148 + 1. assign V720923 = V454341. assign V158896 = V383739. assign V353022 = V652637 + 1. assign V978857 = V143495 - 1. assign V524668 = V692664 - 1. assign V237488 = V179510 + 1. assign V692664 = V978857 - 1. assign V693425 = V374545 - 1. assign V937225 = V525241. assign V664699 = V270704. assign V519459 = V824400 - 1. assign V700298 = V057148 - 1. assign V806431 = V901118. assign V829652 = V605538 - 1. assign V647098 = V179510 - 1. assign V010675 = V072199 + 1. assign V242036 = V978857. assign V736618 = V568861 + 1. assign V782601 = V596923 - 1. assign V753683 = V652637. assign V632496 = V467380. assign V865816 = V176250 - 1. assign V383739 = V829652. assign V482535 = V057148 + 1. assign V072199 = V600721 + 1. assign V737513 = V057148 + 1. assign V838243 = V605538 - 1. assign V304229 = V829652 - 1. assign V386290 = V707788 + 1. assign V692062 = V838243 + 1. assign V904038 = V312435 - 1. assign V901118 = V600721 - 1. assign V975681 = V829652. assign V919566 = V237488 + 1. assign V416367 = V237792 + 1. assign V267308 = V176250 + 1. assign V454341 = V105855 - 1. assign V270704 = V692664 - 1. assign V525241 = V596923 + 1. assign V436158 = V515235 + 1. assign V596923 = V179510. assign V897728 = V466855 - 1. assign V781475 = V954824 + 1. assign V057148 = V242036 + 1. assign V533680 = V143495. assign V179510 = V270704. assign V810633 = V693425 - 1. assign V521941 = V568861 - 1. assign V956047 = V605538 - 1. assign V568861 = V978857 - 1. assign V466855 = V956047 + 1. assign V954824 = V609452 - 1. assign V355630 = V289546. assign V895249 = V781475 + 1. assign V105855 = V605538 - 1. assign V605538 = V270704 + 1. assign V128674 = V310569. assign V234683 = V999638. assign V374545 = V605538 - 1. assign V999638 = 10. assign V515235 = V692664 + 1. assign V600721 = V312435 - 1. assign V492082 = V353295 - 1. assign V263998 = V700298 - 1. assign V176250 = V519459. assign V467380 = V057148 + 1. assign V609452 = V736618 - 1. assign V395912 = V270704. assign V232045 = V533680 + 1. assign V865130 = V302037 - 1. assign V776905 = V736618 + 1. assign V470780 = V568861 - 1. assign V719995 = V395912 + 1. assign V289546 = V956047. assign V312435 = V692664.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V302037 = V600721 - 1. assign V652637 = V978857. assign V824400 = V956047 - 1. assign V353295 = V466855 + 1. assign V428440 = V736618. assign V237792 = V600721 - 1. assign V707788 = V312435. assign V694531 = V747337. assign V673071 = V524668. assign V310569 = V515235 - 1. assign V747337 = V057148 + 1. assign V720923 = V454341. assign V158896 = V383739. assign V353022 = V652637 + 1. assign V978857 = V143495 - 1. assign V524668 = V692664 - 1. assign V237488 = V179510 + 1. assign V692664 = V978857 - 1. assign V693425 = V374545 - 1. assign V937225 = V525241. assign V664699 = V270704. assign V519459 = V824400 - 1. assign V700298 = V057148 - 1. assign V806431 = V901118. assign V829652 = V605538 - 1. assign V647098 = V179510 - 1. assign V010675 = V072199 + 1. assign V242036 = V978857. assign V736618 = V568861 + 1. assign V782601 = V596923 - 1. assign V753683 = V652637. assign V632496 = V467380. assign V865816 = V176250 - 1. assign V383739 = V829652. assign V482535 = V057148 + 1. assign V072199 = V600721 + 1. assign V737513 = V057148 + 1. assign V838243 = V605538 - 1. assign V304229 = V829652 - 1. assign V386290 = V707788 + 1. assign V692062 = V838243 + 1. assign V904038 = V312435 - 1. assign V901118 = V600721 - 1. assign V975681 = V829652. assign V919566 = V237488 + 1. assign V416367 = V237792 + 1. assign V267308 = V176250 + 1. assign V454341 = V105855 - 1. assign V270704 = V692664 - 1. assign V525241 = V596923 + 1. assign V436158 = V515235 + 1. assign V596923 = V179510. assign V897728 = V466855 - 1. assign V781475 = V954824 + 1. assign V057148 = V242036 + 1. assign V533680 = V143495. assign V179510 = V270704. assign V810633 = V693425 - 1. assign V521941 = V568861 - 1. assign V956047 = V605538 - 1. assign V568861 = V978857 - 1. assign V466855 = V956047 + 1. assign V954824 = V609452 - 1. assign V355630 = V289546. assign V895249 = V781475 + 1. assign V105855 = V605538 - 1. assign V605538 = V270704 + 1. assign V128674 = V310569. assign V234683 = V999638. assign V374545 = V605538 - 1. assign V999638 = 10. assign V515235 = V692664 + 1. assign V600721 = V312435 - 1. assign V492082 = V353295 - 1. assign V263998 = V700298 - 1. assign V176250 = V519459. assign V467380 = V057148 + 1. assign V609452 = V736618 - 1. assign V395912 = V270704. assign V232045 = V533680 + 1. assign V865130 = V302037 - 1. assign V776905 = V736618 + 1. assign V470780 = V568861 - 1. assign V719995 = V395912 + 1. assign V289546 = V956047. assign V312435 = V692664.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV999638 = 10;\n\nFrom these direct assignment(s), we have: \nV234683 = V999638 = 10;\nNo other variables can be derived from V234683;\nNo other variables can be derived from V999638;\n\nNow we have done all the calculations. Derived variables are:\nV999638 = 10;\nV234683 = 10;\n\nNow we have finished this problem. ANSWER:\nV999638, V234683\n", "role": "assistant" } ]

[ "V447973" ]

[ { "content": "<context>\nassign V192242 = V448828 + 1. assign V824251 = V327876 - 1. assign V447973 = 8. assign V656329 = V081611 + 1. assign V551478 = V248850. assign V566357 = V154436 - 1. assign V312864 = V159450 - 1. assign V400314 = V662815 - 1. assign V940358 = V851697 - 1. assign V159450 = V624560 + 1. assign V849266 = V168320 + 1. assign V172706 = V849266 - 1. assign V968984 = V174311 + 1. assign V427491 = V968984. assign V545116 = V172706 - 1. assign V087019 = V354608. assign V004007 = V192242 - 1. assign V345534 = V987129. assign V987129 = V236118. assign V236118 = V470989. assign V927350 = V087019 + 1. assign V952505 = V189915. assign V081611 = V849266 - 1. assign V088700 = V662815 + 1. assign V293499 = V916815 - 1. assign V276658 = V672273 - 1. assign V959109 = V514914. assign V973694 = V545116 + 1. assign V254088 = V566357 - 1. assign V672273 = V824251. assign V000167 = V400314. assign V168320 = V662815 + 1. assign V154436 = V545116 + 1. assign V258038 = V551478 - 1. assign V455442 = V447973 - 1. assign V351398 = V624560 + 1. assign V735804 = V293499. assign V673057 = V500484 + 1. assign V136356 = V172706 + 1. assign V624560 = V550170 + 1. assign V327876 = V849266 - 1. assign V470989 = V000791 + 1. assign V916815 = V624560. assign V626387 = V298253. assign V045139 = V351398 + 1. assign V963341 = V973694 + 1. assign V448828 = V000791 - 1. assign V976195 = V283161 - 1. assign V040839 = V952505 + 1. assign V500484 = V959109 + 1. assign V563099 = V824251. assign V654102 = V136356 + 1. assign V800543 = V551478 - 1. assign V333001 = V550170. assign V248850 = V298253 - 1. assign V341512 = V514914 - 1. assign V575366 = V172706. assign V847391 = V081611 + 1. assign V234191 = V470989. assign V514914 = V550170 + 1. assign V320888 = V154436 + 1. assign V698354 = V481088 - 1. assign V283161 = V000791. assign V189915 = V523760 + 1. assign V550170 = V000167 - 1. assign V298253 = V400314 - 1. assign V090663 = V563099 + 1. assign V166871 = V283161. assign V338589 = V000791 - 1. assign V382625 = V159450. assign V772871 = V523760 + 1. assign V995072 = V772871 + 1. assign V045805 = V168320. assign V551415 = V545116. assign V481088 = V030075 - 1. assign V851697 = V550170. assign V030075 = V448828. assign V499224 = V563099. assign V336431 = V154436 + 1. assign V523760 = V448828 - 1. assign V110346 = V154436 + 1. assign V174311 = V081611 - 1. assign V039451 = V154436 + 1. assign V000791 = V400314 - 1. assign V880589 = V563099. assign V354608 = V327876 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V192242 = V448828 + 1. assign V824251 = V327876 - 1. assign V447973 = 8. assign V656329 = V081611 + 1. assign V551478 = V248850. assign V566357 = V154436 - 1. assign V312864 = V159450 - 1. assign V400314 = V662815 - 1. assign V940358 = V851697 - 1. assign V159450 = V624560 + 1. assign V849266 = V168320 + 1. assign V172706 = V849266 - 1. assign V968984 = V174311 + 1. assign V427491 = V968984. assign V545116 = V172706 - 1. assign V087019 = V354608. assign V004007 = V192242 - 1. assign V345534 = V987129. assign V987129 = V236118. assign V236118 = V470989. assign V927350 = V087019 + 1. assign V952505 = V189915. assign V081611 = V849266 - 1. assign V088700 = V662815 + 1. assign V293499 = V916815 - 1. assign V276658 = V672273 - 1. assign V959109 = V514914. assign V973694 = V545116 + 1. assign V254088 = V566357 - 1. assign V672273 = V824251. assign V000167 = V400314. assign V168320 = V662815 + 1. assign V154436 = V545116 + 1. assign V258038 = V551478 - 1. assign V455442 = V447973 - 1. assign V351398 = V624560 + 1. assign V735804 = V293499. assign V673057 = V500484 + 1. assign V136356 = V172706 + 1. assign V624560 = V550170 + 1. assign V327876 = V849266 - 1. assign V470989 = V000791 + 1. assign V916815 = V624560. assign V626387 = V298253. assign V045139 = V351398 + 1. assign V963341 = V973694 + 1. assign V448828 = V000791 - 1. assign V976195 = V283161 - 1. assign V040839 = V952505 + 1. assign V500484 = V959109 + 1. assign V563099 = V824251. assign V654102 = V136356 + 1. assign V800543 = V551478 - 1. assign V333001 = V550170. assign V248850 = V298253 - 1. assign V341512 = V514914 - 1. assign V575366 = V172706. assign V847391 = V081611 + 1. assign V234191 = V470989. assign V514914 = V550170 + 1. assign V320888 = V154436 + 1. assign V698354 = V481088 - 1. assign V283161 = V000791. assign V189915 = V523760 + 1. assign V550170 = V000167 - 1. assign V298253 = V400314 - 1. assign V090663 = V563099 + 1. assign V166871 = V283161. assign V338589 = V000791 - 1. assign V382625 = V159450. assign V772871 = V523760 + 1. assign V995072 = V772871 + 1. assign V045805 = V168320. assign V551415 = V545116. assign V481088 = V030075 - 1. assign V851697 = V550170. assign V030075 = V448828. assign V499224 = V563099. assign V336431 = V154436 + 1. assign V523760 = V448828 - 1. assign V110346 = V154436 + 1. assign V174311 = V081611 - 1. assign V039451 = V154436 + 1. assign V000791 = V400314 - 1. assign V880589 = V563099. assign V354608 = V327876 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV447973 = 8;\n\nFrom these direct assignment(s), we have: \nV455442 = V447973 - 1 = 8 - 1 =7;\nNo other variables can be derived from V455442;\nNo other variables can be derived from V447973;\n\nNow we have done all the calculations. Derived variables are:\nV447973 = 8;\nV455442 = 7;\n\nNow we have finished this problem. ANSWER:\nV447973\n", "role": "assistant" } ]

[ "V320313" ]

[ { "content": "<context>\nassign V876034 = V913020 - 1. assign V617730 = V753703 - 1. assign V451964 = V960813. assign V975901 = V882684 + 1. assign V832991 = V230015 - 1. assign V784238 = V950214 - 1. assign V413171 = V614217. assign V186590 = V884696 - 1. assign V088841 = V875900 + 1. assign V979979 = V230015. assign V044161 = V451964 - 1. assign V718282 = V269076. assign V589248 = V801456. assign V269076 = V614217. assign V096999 = V269076 + 1. assign V848545 = V269076 + 1. assign V631912 = V230494. assign V414837 = V913020 + 1. assign V105332 = V573943. assign V230015 = V614217 + 1. assign V721551 = V718282. assign V083416 = V381514 - 1. assign V614217 = V960813 + 1. assign V801456 = V882684 - 1. assign V501573 = V026007 - 1. assign V261690 = V869761 + 1. assign V835186 = V142900 + 1. assign V915856 = V923916 - 1. assign V353883 = V884696 + 1. assign V406851 = V413171. assign V416508 = V960813 + 1. assign V092483 = V876034. assign V391492 = V106326 - 1. assign V913020 = V230015 - 1. assign V773312 = V231729 - 1. assign V686805 = V123948. assign V923916 = V776155 - 1. assign V169034 = V075508 + 1. assign V320313 = V265678 + 1. assign V042062 = V960813. assign V026007 = V042062 + 1. assign V929424 = V869761 - 1. assign V670089 = V106326 + 1. assign V758495 = V106326 - 1. assign V204054 = V230494. assign V753703 = V096999. assign V686807 = V655983 + 1. assign V160206 = V381514. assign V882684 = V083416 + 1. assign V614109 = V381514. assign V067036 = V979979 + 1. assign V075508 = V923916 - 1. assign V770531 = V556008. assign V231729 = V230494 - 1. assign V950214 = V414837 - 1. assign V317398 = V451964 - 1. assign V875900 = V381514 + 1. assign V747853 = V875900. assign V106326 = V776155 + 1. assign V888603 = V123948 + 1. assign V252002 = V042062 + 1. assign V471405 = V884696. assign V711555 = V317398. assign V265678 = 1. assign V189962 = V123948 - 1. assign V381514 = V776155. assign V605061 = V686807 + 1. assign V907811 = V160206. assign V869761 = V979979. assign V213281 = V204054 + 1. assign V776155 = V230494 + 1. assign V573943 = V875900 - 1. assign V884696 = V776155 + 1. assign V142900 = V353883 - 1. assign V088169 = V670089 + 1. assign V556008 = V884696 + 1. assign V230582 = V884696 - 1. assign V655983 = V096999 - 1. assign V230494 = V960813 - 1. assign V329521 = V556008. assign V060179 = V686805 + 1. assign V569319 = V230015 + 1. assign V293617 = V670089. assign V123948 = V776155 + 1. assign V056857 = V915856 - 1. assign V138548 = V353883.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V876034 = V913020 - 1. assign V617730 = V753703 - 1. assign V451964 = V960813. assign V975901 = V882684 + 1. assign V832991 = V230015 - 1. assign V784238 = V950214 - 1. assign V413171 = V614217. assign V186590 = V884696 - 1. assign V088841 = V875900 + 1. assign V979979 = V230015. assign V044161 = V451964 - 1. assign V718282 = V269076. assign V589248 = V801456. assign V269076 = V614217. assign V096999 = V269076 + 1. assign V848545 = V269076 + 1. assign V631912 = V230494. assign V414837 = V913020 + 1. assign V105332 = V573943. assign V230015 = V614217 + 1. assign V721551 = V718282. assign V083416 = V381514 - 1. assign V614217 = V960813 + 1. assign V801456 = V882684 - 1. assign V501573 = V026007 - 1. assign V261690 = V869761 + 1. assign V835186 = V142900 + 1. assign V915856 = V923916 - 1. assign V353883 = V884696 + 1. assign V406851 = V413171. assign V416508 = V960813 + 1. assign V092483 = V876034. assign V391492 = V106326 - 1. assign V913020 = V230015 - 1. assign V773312 = V231729 - 1. assign V686805 = V123948. assign V923916 = V776155 - 1. assign V169034 = V075508 + 1. assign V320313 = V265678 + 1. assign V042062 = V960813. assign V026007 = V042062 + 1. assign V929424 = V869761 - 1. assign V670089 = V106326 + 1. assign V758495 = V106326 - 1. assign V204054 = V230494. assign V753703 = V096999. assign V686807 = V655983 + 1. assign V160206 = V381514. assign V882684 = V083416 + 1. assign V614109 = V381514. assign V067036 = V979979 + 1. assign V075508 = V923916 - 1. assign V770531 = V556008. assign V231729 = V230494 - 1. assign V950214 = V414837 - 1. assign V317398 = V451964 - 1. assign V875900 = V381514 + 1. assign V747853 = V875900. assign V106326 = V776155 + 1. assign V888603 = V123948 + 1. assign V252002 = V042062 + 1. assign V471405 = V884696. assign V711555 = V317398. assign V265678 = 1. assign V189962 = V123948 - 1. assign V381514 = V776155. assign V605061 = V686807 + 1. assign V907811 = V160206. assign V869761 = V979979. assign V213281 = V204054 + 1. assign V776155 = V230494 + 1. assign V573943 = V875900 - 1. assign V884696 = V776155 + 1. assign V142900 = V353883 - 1. assign V088169 = V670089 + 1. assign V556008 = V884696 + 1. assign V230582 = V884696 - 1. assign V655983 = V096999 - 1. assign V230494 = V960813 - 1. assign V329521 = V556008. assign V060179 = V686805 + 1. assign V569319 = V230015 + 1. assign V293617 = V670089. assign V123948 = V776155 + 1. assign V056857 = V915856 - 1. assign V138548 = V353883.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV265678 = 1;\n\nFrom these direct assignment(s), we have: \nV320313 = V265678 + 1 = 1 + 1 =2;\nNo other variables can be derived from V320313;\nNo other variables can be derived from V265678;\n\nNow we have done all the calculations. Derived variables are:\nV265678 = 1;\nV320313 = 2;\n\nNow we have finished this problem. ANSWER:\nV320313\n", "role": "assistant" } ]

[ "V227458", "V704816" ]

[ { "content": "<context>\nassign V984574 = V853728 - 1. assign V767983 = V200762 - 1. assign V853728 = V901873 + 1. assign V988532 = V568191 + 1. assign V891550 = V204899 - 1. assign V838292 = V384956 + 1. assign V339440 = V568191 - 1. assign V276152 = V882916 - 1. assign V704816 = V227458. assign V239817 = V057598 + 1. assign V023396 = V901873 - 1. assign V411453 = V554401 + 1. assign V412291 = V891136 - 1. assign V704661 = V794163. assign V790159 = V282066 + 1. assign V129595 = V900137 + 1. assign V882916 = V321281 - 1. assign V693902 = V854920 + 1. assign V477741 = V687807 + 1. assign V321281 = V075565 + 1. assign V293905 = V082938 + 1. assign V053257 = V794163. assign V582786 = V560326. assign V204899 = V268175 + 1. assign V970383 = V268175 - 1. assign V570868 = V293905. assign V531653 = V938024. assign V568191 = V595467 + 1. assign V556208 = V523078 + 1. assign V900137 = V411453 - 1. assign V384956 = V953191. assign V160573 = V200762. assign V830325 = V412291. assign V988568 = V419244 - 1. assign V377181 = V075565 + 1. assign V466096 = V377181 - 1. assign V104244 = V200762. assign V871350 = V953191 - 1. assign V802007 = V337518 - 1. assign V854920 = V901873 + 1. assign V211139 = V554401 + 1. assign V595467 = V790159 - 1. assign V379704 = V938024 + 1. assign V916491 = V053257 + 1. assign V180546 = V847974. assign V082938 = V554401. assign V812873 = V285475 - 1. assign V815376 = V425560 - 1. assign V665779 = V901873. assign V268175 = V687807 + 1. assign V346429 = V057598 + 1. assign V419244 = V477741. assign V170267 = V554401. assign V337322 = V853728. assign V200762 = V322664. assign V073206 = V982395. assign V906120 = V704661. assign V811148 = V211139 - 1. assign V560326 = V477741. assign V982395 = V337518 - 1. assign V064122 = V160573. assign V425560 = V104244 + 1. assign V830020 = V337518 - 1. assign V285475 = V268175. assign V887765 = V268175. assign V794163 = V268175 - 1. assign V212552 = V477741 - 1. assign V953191 = V082938 + 1. assign V451223 = V887765. assign V057598 = V595467 + 1. assign V227458 = 6. assign V397623 = V411453 + 1. assign V847974 = V970383 + 1. assign V901873 = V554401 + 1. assign V282066 = V082938 + 1. assign V709071 = V057598 - 1. assign V891136 = V082938 + 1. assign V322664 = V477741 - 1. assign V687807 = V595467 - 1. assign V101283 = V057598 - 1. assign V523078 = V794163. assign V337518 = V554401 + 1. assign V690898 = V531653 - 1. assign V938024 = V988532 - 1. assign V964032 = V982395 + 1. assign V075565 = V082938.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V984574 = V853728 - 1. assign V767983 = V200762 - 1. assign V853728 = V901873 + 1. assign V988532 = V568191 + 1. assign V891550 = V204899 - 1. assign V838292 = V384956 + 1. assign V339440 = V568191 - 1. assign V276152 = V882916 - 1. assign V704816 = V227458. assign V239817 = V057598 + 1. assign V023396 = V901873 - 1. assign V411453 = V554401 + 1. assign V412291 = V891136 - 1. assign V704661 = V794163. assign V790159 = V282066 + 1. assign V129595 = V900137 + 1. assign V882916 = V321281 - 1. assign V693902 = V854920 + 1. assign V477741 = V687807 + 1. assign V321281 = V075565 + 1. assign V293905 = V082938 + 1. assign V053257 = V794163. assign V582786 = V560326. assign V204899 = V268175 + 1. assign V970383 = V268175 - 1. assign V570868 = V293905. assign V531653 = V938024. assign V568191 = V595467 + 1. assign V556208 = V523078 + 1. assign V900137 = V411453 - 1. assign V384956 = V953191. assign V160573 = V200762. assign V830325 = V412291. assign V988568 = V419244 - 1. assign V377181 = V075565 + 1. assign V466096 = V377181 - 1. assign V104244 = V200762. assign V871350 = V953191 - 1. assign V802007 = V337518 - 1. assign V854920 = V901873 + 1. assign V211139 = V554401 + 1. assign V595467 = V790159 - 1. assign V379704 = V938024 + 1. assign V916491 = V053257 + 1. assign V180546 = V847974. assign V082938 = V554401. assign V812873 = V285475 - 1. assign V815376 = V425560 - 1. assign V665779 = V901873. assign V268175 = V687807 + 1. assign V346429 = V057598 + 1. assign V419244 = V477741. assign V170267 = V554401. assign V337322 = V853728. assign V200762 = V322664. assign V073206 = V982395. assign V906120 = V704661. assign V811148 = V211139 - 1. assign V560326 = V477741. assign V982395 = V337518 - 1. assign V064122 = V160573. assign V425560 = V104244 + 1. assign V830020 = V337518 - 1. assign V285475 = V268175. assign V887765 = V268175. assign V794163 = V268175 - 1. assign V212552 = V477741 - 1. assign V953191 = V082938 + 1. assign V451223 = V887765. assign V057598 = V595467 + 1. assign V227458 = 6. assign V397623 = V411453 + 1. assign V847974 = V970383 + 1. assign V901873 = V554401 + 1. assign V282066 = V082938 + 1. assign V709071 = V057598 - 1. assign V891136 = V082938 + 1. assign V322664 = V477741 - 1. assign V687807 = V595467 - 1. assign V101283 = V057598 - 1. assign V523078 = V794163. assign V337518 = V554401 + 1. assign V690898 = V531653 - 1. assign V938024 = V988532 - 1. assign V964032 = V982395 + 1. assign V075565 = V082938.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV227458 = 6;\n\nFrom these direct assignment(s), we have: \nV704816 = V227458 = 6;\nNo other variables can be derived from V704816;\nNo other variables can be derived from V227458;\n\nNow we have done all the calculations. Derived variables are:\nV227458 = 6;\nV704816 = 6;\n\nNow we have finished this problem. ANSWER:\nV227458, V704816\n", "role": "assistant" } ]

[ "V412656" ]

[ { "content": "<context>\nassign V654161 = V085506 - 1. assign V060401 = 4. assign V253292 = V967640 - 1. assign V625778 = V390207 - 1. assign V072615 = V014321 - 1. assign V824645 = V551393 + 1. assign V488706 = V131067 + 1. assign V783881 = V713292 + 1. assign V704221 = V072615. assign V699040 = V898838 + 1. assign V635570 = V416761. assign V884026 = V120684. assign V383557 = V422188 - 1. assign V455273 = V253292 + 1. assign V590651 = V085506 - 1. assign V836280 = V168150. assign V279532 = V172505 - 1. assign V828179 = V182342 - 1. assign V428987 = V131067 - 1. assign V913455 = V884026. assign V700830 = V884026 - 1. assign V412656 = V060401 + 1. assign V205684 = V170298 - 1. assign V176362 = V223275 + 1. assign V458350 = V244317 + 1. assign V170298 = V340021 - 1. assign V596151 = V998383 + 1. assign V684223 = V488706. assign V771735 = V135485 + 1. assign V975435 = V008190 + 1. assign V277396 = V077867. assign V125238 = V251805 - 1. assign V470989 = V930540 + 1. assign V306458 = V898838. assign V787868 = V470989 - 1. assign V041181 = V331224 + 1. assign V920062 = V710600 - 1. assign V601034 = V032743. assign V930540 = V884026. assign V008190 = V898838 - 1. assign V721066 = V085506 - 1. assign V873472 = V014321 - 1. assign V525143 = V625778 + 1. assign V076079 = V930540 - 1. assign V493491 = V306458. assign V340021 = V172505 - 1. assign V967640 = V125238. assign V331224 = V135485. assign V251805 = V120684 - 1. assign V077867 = V251805. assign V931604 = V910793 - 1. assign V350341 = V120684 - 1. assign V643723 = V340021 - 1. assign V416761 = V120684. assign V172505 = V884026 - 1. assign V244317 = V824645 + 1. assign V390207 = V416761 + 1. assign V178843 = V131067. assign V778472 = V350341 + 1. assign V032743 = V251805 - 1. assign V120684 = V014321. assign V551393 = V884026 + 1. assign V550999 = V470989 + 1. assign V740358 = V551393. assign V049850 = V251805 + 1. assign V223275 = V244317. assign V376518 = V077867. assign V168150 = V713292 + 1. assign V710600 = V014321. assign V437800 = V771735. assign V910793 = V077867 + 1. assign V422188 = V331224 + 1. assign V085506 = V873472 + 1. assign V324014 = V590651 - 1. assign V307439 = V251805 - 1. assign V116916 = V390207 + 1. assign V798946 = V700830 - 1. assign V434936 = V182342. assign V104966 = V277396. assign V131067 = V135485. assign V713292 = V331224 - 1. assign V764234 = V884026 - 1. assign V998383 = V930540. assign V135485 = V120684 + 1. assign V182342 = V824645 + 1. assign V898838 = V930540.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V654161 = V085506 - 1. assign V060401 = 4. assign V253292 = V967640 - 1. assign V625778 = V390207 - 1. assign V072615 = V014321 - 1. assign V824645 = V551393 + 1. assign V488706 = V131067 + 1. assign V783881 = V713292 + 1. assign V704221 = V072615. assign V699040 = V898838 + 1. assign V635570 = V416761. assign V884026 = V120684. assign V383557 = V422188 - 1. assign V455273 = V253292 + 1. assign V590651 = V085506 - 1. assign V836280 = V168150. assign V279532 = V172505 - 1. assign V828179 = V182342 - 1. assign V428987 = V131067 - 1. assign V913455 = V884026. assign V700830 = V884026 - 1. assign V412656 = V060401 + 1. assign V205684 = V170298 - 1. assign V176362 = V223275 + 1. assign V458350 = V244317 + 1. assign V170298 = V340021 - 1. assign V596151 = V998383 + 1. assign V684223 = V488706. assign V771735 = V135485 + 1. assign V975435 = V008190 + 1. assign V277396 = V077867. assign V125238 = V251805 - 1. assign V470989 = V930540 + 1. assign V306458 = V898838. assign V787868 = V470989 - 1. assign V041181 = V331224 + 1. assign V920062 = V710600 - 1. assign V601034 = V032743. assign V930540 = V884026. assign V008190 = V898838 - 1. assign V721066 = V085506 - 1. assign V873472 = V014321 - 1. assign V525143 = V625778 + 1. assign V076079 = V930540 - 1. assign V493491 = V306458. assign V340021 = V172505 - 1. assign V967640 = V125238. assign V331224 = V135485. assign V251805 = V120684 - 1. assign V077867 = V251805. assign V931604 = V910793 - 1. assign V350341 = V120684 - 1. assign V643723 = V340021 - 1. assign V416761 = V120684. assign V172505 = V884026 - 1. assign V244317 = V824645 + 1. assign V390207 = V416761 + 1. assign V178843 = V131067. assign V778472 = V350341 + 1. assign V032743 = V251805 - 1. assign V120684 = V014321. assign V551393 = V884026 + 1. assign V550999 = V470989 + 1. assign V740358 = V551393. assign V049850 = V251805 + 1. assign V223275 = V244317. assign V376518 = V077867. assign V168150 = V713292 + 1. assign V710600 = V014321. assign V437800 = V771735. assign V910793 = V077867 + 1. assign V422188 = V331224 + 1. assign V085506 = V873472 + 1. assign V324014 = V590651 - 1. assign V307439 = V251805 - 1. assign V116916 = V390207 + 1. assign V798946 = V700830 - 1. assign V434936 = V182342. assign V104966 = V277396. assign V131067 = V135485. assign V713292 = V331224 - 1. assign V764234 = V884026 - 1. assign V998383 = V930540. assign V135485 = V120684 + 1. assign V182342 = V824645 + 1. assign V898838 = V930540.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV060401 = 4;\n\nFrom these direct assignment(s), we have: \nV412656 = V060401 + 1 = 4 + 1 =5;\nNo other variables can be derived from V412656;\nNo other variables can be derived from V060401;\n\nNow we have done all the calculations. Derived variables are:\nV060401 = 4;\nV412656 = 5;\n\nNow we have finished this problem. ANSWER:\nV412656\n", "role": "assistant" } ]

[ "V971116" ]

[ { "content": "<context>\nassign V506483 = V029261 - 1. assign V963241 = V703797 - 1. assign V368627 = V499798 + 1. assign V012163 = V824016 - 1. assign V962554 = V037069 - 1. assign V489850 = V272354. assign V864135 = V997217 - 1. assign V338369 = V546194 - 1. assign V037069 = V499798 - 1. assign V858325 = V954217 + 1. assign V223811 = V173481 + 1. assign V970435 = V670223 + 1. assign V027612 = V029261. assign V030534 = V420151 - 1. assign V507347 = 2. assign V394342 = V132156 - 1. assign V599002 = V947543 - 1. assign V029261 = V954217 + 1. assign V420151 = V970435 + 1. assign V334328 = V872275 - 1. assign V270005 = V873731 + 1. assign V005459 = V030534. assign V499798 = V608920 - 1. assign V053528 = V492381 - 1. assign V546194 = V499798 + 1. assign V333442 = V121845. assign V838400 = V368627. assign V632157 = V394342 - 1. assign V975732 = V043588. assign V312131 = V970435 + 1. assign V714595 = V334328 - 1. assign V311494 = V947543. assign V132156 = V423893 + 1. assign V824016 = V258673 - 1. assign V617765 = V509443. assign V971116 = V507347 + 1. assign V873731 = V176101 - 1. assign V204595 = V420151 + 1. assign V899082 = V954217 + 1. assign V184167 = V204595 - 1. assign V268369 = V030534. assign V670223 = V581892. assign V561207 = V333442 - 1. assign V603567 = V975732 - 1. assign V043588 = V499798 + 1. assign V606547 = V899082 + 1. assign V000597 = V043588 + 1. assign V973479 = V703797. assign V231606 = V670223 + 1. assign V954217 = V581892 - 1. assign V629591 = V962554. assign V423893 = V499798 - 1. assign V302323 = V897375 - 1. assign V509443 = V029261 + 1. assign V860268 = V376110. assign V703797 = V043588 - 1. assign V753483 = V670223 - 1. assign V627876 = V824016 - 1. assign V429092 = V423893 + 1. assign V855695 = V118612 - 1. assign V897375 = V753483. assign V160607 = V231606 + 1. assign V173481 = V176101 + 1. assign V258673 = V499798. assign V388531 = V090384 + 1. assign V031087 = V899082. assign V492381 = V499798. assign V581892 = V608920. assign V272354 = V603567. assign V732808 = V606547 + 1. assign V254701 = V311494. assign V432669 = V970435 - 1. assign V991209 = V311494 - 1. assign V876403 = V420151 - 1. assign V176101 = V423893. assign V128360 = V499798 - 1. assign V947543 = V176101 + 1. assign V118612 = V423893. assign V090384 = V000597 - 1. assign V121845 = V975732. assign V872275 = V311494. assign V997217 = V173481 - 1. assign V773074 = V090384 - 1. assign V104960 = V753483 - 1. assign V376110 = V855695 + 1. assign V669932 = V824016.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V506483 = V029261 - 1. assign V963241 = V703797 - 1. assign V368627 = V499798 + 1. assign V012163 = V824016 - 1. assign V962554 = V037069 - 1. assign V489850 = V272354. assign V864135 = V997217 - 1. assign V338369 = V546194 - 1. assign V037069 = V499798 - 1. assign V858325 = V954217 + 1. assign V223811 = V173481 + 1. assign V970435 = V670223 + 1. assign V027612 = V029261. assign V030534 = V420151 - 1. assign V507347 = 2. assign V394342 = V132156 - 1. assign V599002 = V947543 - 1. assign V029261 = V954217 + 1. assign V420151 = V970435 + 1. assign V334328 = V872275 - 1. assign V270005 = V873731 + 1. assign V005459 = V030534. assign V499798 = V608920 - 1. assign V053528 = V492381 - 1. assign V546194 = V499798 + 1. assign V333442 = V121845. assign V838400 = V368627. assign V632157 = V394342 - 1. assign V975732 = V043588. assign V312131 = V970435 + 1. assign V714595 = V334328 - 1. assign V311494 = V947543. assign V132156 = V423893 + 1. assign V824016 = V258673 - 1. assign V617765 = V509443. assign V971116 = V507347 + 1. assign V873731 = V176101 - 1. assign V204595 = V420151 + 1. assign V899082 = V954217 + 1. assign V184167 = V204595 - 1. assign V268369 = V030534. assign V670223 = V581892. assign V561207 = V333442 - 1. assign V603567 = V975732 - 1. assign V043588 = V499798 + 1. assign V606547 = V899082 + 1. assign V000597 = V043588 + 1. assign V973479 = V703797. assign V231606 = V670223 + 1. assign V954217 = V581892 - 1. assign V629591 = V962554. assign V423893 = V499798 - 1. assign V302323 = V897375 - 1. assign V509443 = V029261 + 1. assign V860268 = V376110. assign V703797 = V043588 - 1. assign V753483 = V670223 - 1. assign V627876 = V824016 - 1. assign V429092 = V423893 + 1. assign V855695 = V118612 - 1. assign V897375 = V753483. assign V160607 = V231606 + 1. assign V173481 = V176101 + 1. assign V258673 = V499798. assign V388531 = V090384 + 1. assign V031087 = V899082. assign V492381 = V499798. assign V581892 = V608920. assign V272354 = V603567. assign V732808 = V606547 + 1. assign V254701 = V311494. assign V432669 = V970435 - 1. assign V991209 = V311494 - 1. assign V876403 = V420151 - 1. assign V176101 = V423893. assign V128360 = V499798 - 1. assign V947543 = V176101 + 1. assign V118612 = V423893. assign V090384 = V000597 - 1. assign V121845 = V975732. assign V872275 = V311494. assign V997217 = V173481 - 1. assign V773074 = V090384 - 1. assign V104960 = V753483 - 1. assign V376110 = V855695 + 1. assign V669932 = V824016.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV507347 = 2;\n\nFrom these direct assignment(s), we have: \nV971116 = V507347 + 1 = 2 + 1 =3;\nNo other variables can be derived from V971116;\nNo other variables can be derived from V507347;\n\nNow we have done all the calculations. Derived variables are:\nV507347 = 2;\nV971116 = 3;\n\nNow we have finished this problem. ANSWER:\nV971116\n", "role": "assistant" } ]

[ "V889110" ]

[ { "content": "<context>\nassign V348262 = V558101 + 1. assign V640017 = V055388 - 1. assign V167275 = V408216 - 1. assign V716996 = V348262. assign V418655 = V068316 + 1. assign V894861 = V348262 + 1. assign V151807 = V222738. assign V773438 = V645679. assign V222738 = V851742 - 1. assign V411986 = V418353 + 1. assign V889148 = V284165 + 1. assign V068316 = V864229 + 1. assign V818579 = V055388 + 1. assign V495433 = V040005 + 1. assign V477603 = V338439 - 1. assign V284165 = V055388. assign V895891 = V851899. assign V605269 = V073252. assign V148585 = V558101 + 1. assign V729977 = V170871 + 1. assign V184468 = V889148 + 1. assign V335664 = V495433 + 1. assign V362056 = V536581 - 1. assign V802353 = V068316 + 1. assign V021196 = V348262 - 1. assign V853245 = V411986 - 1. assign V921175 = V820876. assign V301692 = V284165 - 1. assign V026882 = V153619 + 1. assign V581176 = V889148 - 1. assign V040005 = V851899. assign V536581 = V167275. assign V539089 = V129890 + 1. assign V902318 = V688912. assign V523268 = V428703 - 1. assign V428703 = V408216. assign V056171 = V411986. assign V892508 = V153619 - 1. assign V022049 = V151807 + 1. assign V779863 = V558101 + 1. assign V936114 = V566503 - 1. assign V168518 = V442036. assign V085802 = V151807. assign V073252 = V408216 + 1. assign V408216 = V509207 - 1. assign V688912 = V820876. assign V889110 = 6. assign V028829 = V622280 - 1. assign V524315 = V510802 + 1. assign V407915 = V170871 + 1. assign V786335 = V889110 - 1. assign V704412 = V167275. assign V916503 = V640017. assign V479245 = V986934 + 1. assign V697110 = V816844 + 1. assign V622280 = V640017 + 1. assign V864229 = V073252 - 1. assign V238346 = V711849 - 1. assign V851742 = V148585 + 1. assign V418353 = V851899. assign V820876 = V640017 - 1. assign V153619 = V645679 + 1. assign V036012 = V818579. assign V900868 = V073252 + 1. assign V189295 = V864229. assign V129890 = V779863 + 1. assign V566503 = V418353 - 1. assign V338439 = V503865 - 1. assign V510802 = V820876 - 1. assign V170871 = V820876 + 1. assign V192678 = V408216 - 1. assign V711849 = V301692 - 1. assign V816844 = V986934 + 1. assign V770087 = V418655 - 1. assign V570000 = V566503 + 1. assign V851899 = V993277 - 1. assign V270043 = V622280 - 1. assign V986934 = V802353 - 1. assign V092858 = V509207 + 1. assign V503865 = V851742 - 1. assign V558101 = V820876 - 1. assign V870222 = V802353. assign V055388 = V509207. assign V645679 = V408216 - 1. assign V442036 = V688912 + 1. assign V993277 = V640017 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V348262 = V558101 + 1. assign V640017 = V055388 - 1. assign V167275 = V408216 - 1. assign V716996 = V348262. assign V418655 = V068316 + 1. assign V894861 = V348262 + 1. assign V151807 = V222738. assign V773438 = V645679. assign V222738 = V851742 - 1. assign V411986 = V418353 + 1. assign V889148 = V284165 + 1. assign V068316 = V864229 + 1. assign V818579 = V055388 + 1. assign V495433 = V040005 + 1. assign V477603 = V338439 - 1. assign V284165 = V055388. assign V895891 = V851899. assign V605269 = V073252. assign V148585 = V558101 + 1. assign V729977 = V170871 + 1. assign V184468 = V889148 + 1. assign V335664 = V495433 + 1. assign V362056 = V536581 - 1. assign V802353 = V068316 + 1. assign V021196 = V348262 - 1. assign V853245 = V411986 - 1. assign V921175 = V820876. assign V301692 = V284165 - 1. assign V026882 = V153619 + 1. assign V581176 = V889148 - 1. assign V040005 = V851899. assign V536581 = V167275. assign V539089 = V129890 + 1. assign V902318 = V688912. assign V523268 = V428703 - 1. assign V428703 = V408216. assign V056171 = V411986. assign V892508 = V153619 - 1. assign V022049 = V151807 + 1. assign V779863 = V558101 + 1. assign V936114 = V566503 - 1. assign V168518 = V442036. assign V085802 = V151807. assign V073252 = V408216 + 1. assign V408216 = V509207 - 1. assign V688912 = V820876. assign V889110 = 6. assign V028829 = V622280 - 1. assign V524315 = V510802 + 1. assign V407915 = V170871 + 1. assign V786335 = V889110 - 1. assign V704412 = V167275. assign V916503 = V640017. assign V479245 = V986934 + 1. assign V697110 = V816844 + 1. assign V622280 = V640017 + 1. assign V864229 = V073252 - 1. assign V238346 = V711849 - 1. assign V851742 = V148585 + 1. assign V418353 = V851899. assign V820876 = V640017 - 1. assign V153619 = V645679 + 1. assign V036012 = V818579. assign V900868 = V073252 + 1. assign V189295 = V864229. assign V129890 = V779863 + 1. assign V566503 = V418353 - 1. assign V338439 = V503865 - 1. assign V510802 = V820876 - 1. assign V170871 = V820876 + 1. assign V192678 = V408216 - 1. assign V711849 = V301692 - 1. assign V816844 = V986934 + 1. assign V770087 = V418655 - 1. assign V570000 = V566503 + 1. assign V851899 = V993277 - 1. assign V270043 = V622280 - 1. assign V986934 = V802353 - 1. assign V092858 = V509207 + 1. assign V503865 = V851742 - 1. assign V558101 = V820876 - 1. assign V870222 = V802353. assign V055388 = V509207. assign V645679 = V408216 - 1. assign V442036 = V688912 + 1. assign V993277 = V640017 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV889110 = 6;\n\nFrom these direct assignment(s), we have: \nV786335 = V889110 - 1 = 6 - 1 =5;\nNo other variables can be derived from V786335;\nNo other variables can be derived from V889110;\n\nNow we have done all the calculations. Derived variables are:\nV889110 = 6;\nV786335 = 5;\n\nNow we have finished this problem. ANSWER:\nV889110\n", "role": "assistant" } ]

[ "V747187" ]

[ { "content": "<context>\nassign V278303 = V836154 + 1. assign V301282 = V134623. assign V852401 = V370122. assign V553393 = V530388 + 1. assign V380777 = V071083 - 1. assign V772276 = V484948. assign V632846 = V002106 + 1. assign V145937 = V704197 + 1. assign V403986 = V834691 - 1. assign V810674 = V189976 - 1. assign V370122 = V122684 + 1. assign V790188 = V769516 - 1. assign V933824 = V552607 + 1. assign V122684 = V428598 - 1. assign V173099 = V415050 + 1. assign V359166 = V379934 + 1. assign V583865 = V178927 - 1. assign V386621 = V834691. assign V178927 = V403752. assign V045342 = V403986 + 1. assign V541299 = V719456. assign V415050 = V046517 + 1. assign V046517 = V296372 - 1. assign V731931 = V173099. assign V888312 = V403986. assign V478850 = V493877 + 1. assign V769171 = V379934. assign V745207 = V765182 + 1. assign V353389 = V403752. assign V358414 = V893505. assign V002106 = V358414. assign V071083 = V208866 + 1. assign V704197 = V415050 - 1. assign V715102 = V032493 - 1. assign V208866 = V084832 + 1. assign V428598 = V208866 - 1. assign V530388 = V403752. assign V413858 = V688911 + 1. assign V296372 = V134623 + 1. assign V249406 = V765182 - 1. assign V552607 = V688911 - 1. assign V436307 = V178927. assign V811360 = V134623 + 1. assign V893505 = V698441 + 1. assign V268194 = V893505. assign V088887 = V071083 + 1. assign V563779 = 8. assign V896415 = V403752. assign V747187 = V563779 - 1. assign V541890 = V484948. assign V493877 = V353389 - 1. assign V993494 = V403752 - 1. assign V325663 = V145937 + 1. assign V521586 = V530388 + 1. assign V113582 = V403986 + 1. assign V032493 = V415050 - 1. assign V189976 = V769171. assign V830783 = V863121 - 1. assign V804222 = V002106 - 1. assign V698441 = V296372 + 1. assign V084832 = V296372 + 1. assign V647717 = V413858 + 1. assign V186831 = V415050 - 1. assign V863121 = V341434. assign V688911 = V415050 - 1. assign V479623 = V553393 - 1. assign V379934 = V032493 - 1. assign V836154 = V046517 + 1. assign V834691 = V688911 - 1. assign V719456 = V567790 + 1. assign V452337 = V415050. assign V152868 = V122684 + 1. assign V241340 = V772276 + 1. assign V769516 = V084832 - 1. assign V580147 = V032493. assign V162916 = V417312. assign V613130 = V046517. assign V567790 = V145937. assign V484948 = V403752 - 1. assign V417312 = V032493 + 1. assign V341434 = V567790. assign V707952 = V688911 + 1. assign V120028 = V707952 - 1. assign V403752 = V688911 + 1. assign V765182 = V415050 + 1. assign V637789 = V002106 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V278303 = V836154 + 1. assign V301282 = V134623. assign V852401 = V370122. assign V553393 = V530388 + 1. assign V380777 = V071083 - 1. assign V772276 = V484948. assign V632846 = V002106 + 1. assign V145937 = V704197 + 1. assign V403986 = V834691 - 1. assign V810674 = V189976 - 1. assign V370122 = V122684 + 1. assign V790188 = V769516 - 1. assign V933824 = V552607 + 1. assign V122684 = V428598 - 1. assign V173099 = V415050 + 1. assign V359166 = V379934 + 1. assign V583865 = V178927 - 1. assign V386621 = V834691. assign V178927 = V403752. assign V045342 = V403986 + 1. assign V541299 = V719456. assign V415050 = V046517 + 1. assign V046517 = V296372 - 1. assign V731931 = V173099. assign V888312 = V403986. assign V478850 = V493877 + 1. assign V769171 = V379934. assign V745207 = V765182 + 1. assign V353389 = V403752. assign V358414 = V893505. assign V002106 = V358414. assign V071083 = V208866 + 1. assign V704197 = V415050 - 1. assign V715102 = V032493 - 1. assign V208866 = V084832 + 1. assign V428598 = V208866 - 1. assign V530388 = V403752. assign V413858 = V688911 + 1. assign V296372 = V134623 + 1. assign V249406 = V765182 - 1. assign V552607 = V688911 - 1. assign V436307 = V178927. assign V811360 = V134623 + 1. assign V893505 = V698441 + 1. assign V268194 = V893505. assign V088887 = V071083 + 1. assign V563779 = 8. assign V896415 = V403752. assign V747187 = V563779 - 1. assign V541890 = V484948. assign V493877 = V353389 - 1. assign V993494 = V403752 - 1. assign V325663 = V145937 + 1. assign V521586 = V530388 + 1. assign V113582 = V403986 + 1. assign V032493 = V415050 - 1. assign V189976 = V769171. assign V830783 = V863121 - 1. assign V804222 = V002106 - 1. assign V698441 = V296372 + 1. assign V084832 = V296372 + 1. assign V647717 = V413858 + 1. assign V186831 = V415050 - 1. assign V863121 = V341434. assign V688911 = V415050 - 1. assign V479623 = V553393 - 1. assign V379934 = V032493 - 1. assign V836154 = V046517 + 1. assign V834691 = V688911 - 1. assign V719456 = V567790 + 1. assign V452337 = V415050. assign V152868 = V122684 + 1. assign V241340 = V772276 + 1. assign V769516 = V084832 - 1. assign V580147 = V032493. assign V162916 = V417312. assign V613130 = V046517. assign V567790 = V145937. assign V484948 = V403752 - 1. assign V417312 = V032493 + 1. assign V341434 = V567790. assign V707952 = V688911 + 1. assign V120028 = V707952 - 1. assign V403752 = V688911 + 1. assign V765182 = V415050 + 1. assign V637789 = V002106 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV563779 = 8;\n\nFrom these direct assignment(s), we have: \nV747187 = V563779 - 1 = 8 - 1 =7;\nNo other variables can be derived from V747187;\nNo other variables can be derived from V563779;\n\nNow we have done all the calculations. Derived variables are:\nV563779 = 8;\nV747187 = 7;\n\nNow we have finished this problem. ANSWER:\nV747187\n", "role": "assistant" } ]

[ "V007951", "V811540" ]

[ { "content": "<context>\nassign V221715 = V350153. assign V022473 = V971872 - 1. assign V139535 = V022473 + 1. assign V641903 = V421734 - 1. assign V034860 = V239755. assign V547432 = V944426 + 1. assign V449008 = V888975 + 1. assign V746237 = V729365 - 1. assign V005390 = V139535 - 1. assign V111945 = V239755 - 1. assign V772717 = V993290 - 1. assign V614219 = V944426 + 1. assign V234668 = V390646 - 1. assign V586526 = V604177 - 1. assign V944956 = V215213 - 1. assign V186852 = V215213. assign V690433 = V231742 - 1. assign V034351 = V922715. assign V126110 = V927947 - 1. assign V680503 = V653766 - 1. assign V941966 = V552698 + 1. assign V138453 = V485383. assign V653354 = V927947 + 1. assign V604177 = V944426 + 1. assign V231742 = V485383 - 1. assign V215013 = V449008 - 1. assign V098470 = V267671 + 1. assign V608496 = V231742 + 1. assign V267671 = V944956. assign V499856 = V922715 + 1. assign V922715 = V741372 - 1. assign V007951 = 7. assign V371577 = V332331 + 1. assign V778030 = V332331 + 1. assign V462277 = V492906 + 1. assign V906841 = V350153. assign V960624 = V653766. assign V780242 = V034351 + 1. assign V523476 = V577927. assign V010529 = V552698 + 1. assign V421734 = V653766 + 1. assign V226288 = V577927. assign V811024 = V221715. assign V421408 = V421734 + 1. assign V686794 = V115031 + 1. assign V797401 = V641903 + 1. assign V261990 = V741372 - 1. assign V927947 = V390646 - 1. assign V640345 = V220359. assign V814480 = V906841 - 1. assign V893556 = V577927 + 1. assign V740653 = V922715 + 1. assign V150955 = V547432 - 1. assign V485383 = V332331 + 1. assign V450707 = V653766. assign V737413 = V870820 + 1. assign V741372 = V332331. assign V870820 = V741372 + 1. assign V993290 = V552698 - 1. assign V956726 = V575856 - 1. assign V350153 = V303387 - 1. assign V115031 = V960624 + 1. assign V303387 = V888975 + 1. assign V059256 = V332331. assign V492906 = V870820. assign V904105 = V960624 + 1. assign V744173 = V725614 + 1. assign V940470 = V814480. assign V725614 = V350153. assign V220359 = V653766. assign V971872 = V421734. assign V539141 = V034351 - 1. assign V552698 = V332331 + 1. assign V624061 = V772717. assign V820467 = V552698. assign V577927 = V778030. assign V729365 = V577927 - 1. assign V332331 = V653766. assign V575856 = V741372 + 1. assign V888975 = V421734 + 1. assign V944426 = V485383 + 1. assign V390646 = V778030 + 1. assign V215213 = V303387. assign V811540 = V007951. assign V382054 = V010529 - 1. assign V239755 = V653766.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V221715 = V350153. assign V022473 = V971872 - 1. assign V139535 = V022473 + 1. assign V641903 = V421734 - 1. assign V034860 = V239755. assign V547432 = V944426 + 1. assign V449008 = V888975 + 1. assign V746237 = V729365 - 1. assign V005390 = V139535 - 1. assign V111945 = V239755 - 1. assign V772717 = V993290 - 1. assign V614219 = V944426 + 1. assign V234668 = V390646 - 1. assign V586526 = V604177 - 1. assign V944956 = V215213 - 1. assign V186852 = V215213. assign V690433 = V231742 - 1. assign V034351 = V922715. assign V126110 = V927947 - 1. assign V680503 = V653766 - 1. assign V941966 = V552698 + 1. assign V138453 = V485383. assign V653354 = V927947 + 1. assign V604177 = V944426 + 1. assign V231742 = V485383 - 1. assign V215013 = V449008 - 1. assign V098470 = V267671 + 1. assign V608496 = V231742 + 1. assign V267671 = V944956. assign V499856 = V922715 + 1. assign V922715 = V741372 - 1. assign V007951 = 7. assign V371577 = V332331 + 1. assign V778030 = V332331 + 1. assign V462277 = V492906 + 1. assign V906841 = V350153. assign V960624 = V653766. assign V780242 = V034351 + 1. assign V523476 = V577927. assign V010529 = V552698 + 1. assign V421734 = V653766 + 1. assign V226288 = V577927. assign V811024 = V221715. assign V421408 = V421734 + 1. assign V686794 = V115031 + 1. assign V797401 = V641903 + 1. assign V261990 = V741372 - 1. assign V927947 = V390646 - 1. assign V640345 = V220359. assign V814480 = V906841 - 1. assign V893556 = V577927 + 1. assign V740653 = V922715 + 1. assign V150955 = V547432 - 1. assign V485383 = V332331 + 1. assign V450707 = V653766. assign V737413 = V870820 + 1. assign V741372 = V332331. assign V870820 = V741372 + 1. assign V993290 = V552698 - 1. assign V956726 = V575856 - 1. assign V350153 = V303387 - 1. assign V115031 = V960624 + 1. assign V303387 = V888975 + 1. assign V059256 = V332331. assign V492906 = V870820. assign V904105 = V960624 + 1. assign V744173 = V725614 + 1. assign V940470 = V814480. assign V725614 = V350153. assign V220359 = V653766. assign V971872 = V421734. assign V539141 = V034351 - 1. assign V552698 = V332331 + 1. assign V624061 = V772717. assign V820467 = V552698. assign V577927 = V778030. assign V729365 = V577927 - 1. assign V332331 = V653766. assign V575856 = V741372 + 1. assign V888975 = V421734 + 1. assign V944426 = V485383 + 1. assign V390646 = V778030 + 1. assign V215213 = V303387. assign V811540 = V007951. assign V382054 = V010529 - 1. assign V239755 = V653766.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV007951 = 7;\n\nFrom these direct assignment(s), we have: \nV811540 = V007951 = 7;\nNo other variables can be derived from V811540;\nNo other variables can be derived from V007951;\n\nNow we have done all the calculations. Derived variables are:\nV007951 = 7;\nV811540 = 7;\n\nNow we have finished this problem. ANSWER:\nV007951, V811540\n", "role": "assistant" } ]

[ "V743345" ]

[ { "content": "<context>\nassign V157682 = V242588 - 1. assign V639716 = V835629 - 1. assign V503387 = V138224 + 1. assign V296692 = V341923 - 1. assign V782779 = V681039 + 1. assign V580862 = V531835. assign V134653 = V021064. assign V864042 = V778937 - 1. assign V649648 = V778937. assign V168311 = V423923. assign V835629 = V189959 - 1. assign V515079 = V531835 - 1. assign V058909 = V908572. assign V228878 = V993413 + 1. assign V565102 = V782779. assign V286136 = V020097 + 1. assign V709402 = V021064. assign V683663 = V241747 - 1. assign V021064 = V065312 + 1. assign V340835 = V724216 - 1. assign V491735 = V743656. assign V579861 = V129050. assign V261154 = V387476 + 1. assign V961461 = V578642. assign V611487 = V228878 + 1. assign V776435 = V313059. assign V267581 = V065312 + 1. assign V938719 = V681039 + 1. assign V895949 = V387476 - 1. assign V666674 = V681039 + 1. assign V495506 = V681039 + 1. assign V341923 = V020097. assign V877231 = V086029 - 1. assign V910188 = V938719 + 1. assign V287513 = V724216. assign V415854 = V296692 + 1. assign V743656 = V463352. assign V879700 = V938719 + 1. assign V155179 = V463352 + 1. assign V086029 = V611487. assign V577738 = V611487. assign V641940 = V020097 + 1. assign V972982 = V951135 + 1. assign V160858 = V835629. assign V914820 = V189959 + 1. assign V129050 = V914820 - 1. assign V951135 = V463642 + 1. assign V681039 = V778937 - 1. assign V242588 = V189959 - 1. assign V460218 = V743345 - 1. assign V661979 = V778937 + 1. assign V166337 = V652408. assign V387476 = V065312. assign V463352 = V138224 + 1. assign V778937 = V652408 - 1. assign V287349 = V241747. assign V138224 = V652408. assign V944569 = V201036 + 1. assign V647607 = V005841 - 1. assign V313059 = V463352 - 1. assign V423923 = V910188 - 1. assign V522034 = V341923 - 1. assign V531835 = V778937 + 1. assign V241747 = V578642 - 1. assign V089679 = V531835 - 1. assign V974376 = V910188 + 1. assign V038093 = V242588 - 1. assign V020097 = V778937 - 1. assign V005841 = V286136 - 1. assign V444141 = V611487. assign V724216 = V652408. assign V658053 = V531835. assign V748832 = V129050 + 1. assign V463642 = V129050. assign V326229 = V611487 + 1. assign V065312 = V129050 - 1. assign V743345 = 1. assign V639442 = V908572. assign V908572 = V914820 + 1. assign V578642 = V286136. assign V242350 = V503387. assign V201036 = V160858 - 1. assign V214385 = V681039. assign V189959 = V778937 - 1. assign V993413 = V914820. assign V430460 = V166337.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V157682 = V242588 - 1. assign V639716 = V835629 - 1. assign V503387 = V138224 + 1. assign V296692 = V341923 - 1. assign V782779 = V681039 + 1. assign V580862 = V531835. assign V134653 = V021064. assign V864042 = V778937 - 1. assign V649648 = V778937. assign V168311 = V423923. assign V835629 = V189959 - 1. assign V515079 = V531835 - 1. assign V058909 = V908572. assign V228878 = V993413 + 1. assign V565102 = V782779. assign V286136 = V020097 + 1. assign V709402 = V021064. assign V683663 = V241747 - 1. assign V021064 = V065312 + 1. assign V340835 = V724216 - 1. assign V491735 = V743656. assign V579861 = V129050. assign V261154 = V387476 + 1. assign V961461 = V578642. assign V611487 = V228878 + 1. assign V776435 = V313059. assign V267581 = V065312 + 1. assign V938719 = V681039 + 1. assign V895949 = V387476 - 1. assign V666674 = V681039 + 1. assign V495506 = V681039 + 1. assign V341923 = V020097. assign V877231 = V086029 - 1. assign V910188 = V938719 + 1. assign V287513 = V724216. assign V415854 = V296692 + 1. assign V743656 = V463352. assign V879700 = V938719 + 1. assign V155179 = V463352 + 1. assign V086029 = V611487. assign V577738 = V611487. assign V641940 = V020097 + 1. assign V972982 = V951135 + 1. assign V160858 = V835629. assign V914820 = V189959 + 1. assign V129050 = V914820 - 1. assign V951135 = V463642 + 1. assign V681039 = V778937 - 1. assign V242588 = V189959 - 1. assign V460218 = V743345 - 1. assign V661979 = V778937 + 1. assign V166337 = V652408. assign V387476 = V065312. assign V463352 = V138224 + 1. assign V778937 = V652408 - 1. assign V287349 = V241747. assign V138224 = V652408. assign V944569 = V201036 + 1. assign V647607 = V005841 - 1. assign V313059 = V463352 - 1. assign V423923 = V910188 - 1. assign V522034 = V341923 - 1. assign V531835 = V778937 + 1. assign V241747 = V578642 - 1. assign V089679 = V531835 - 1. assign V974376 = V910188 + 1. assign V038093 = V242588 - 1. assign V020097 = V778937 - 1. assign V005841 = V286136 - 1. assign V444141 = V611487. assign V724216 = V652408. assign V658053 = V531835. assign V748832 = V129050 + 1. assign V463642 = V129050. assign V326229 = V611487 + 1. assign V065312 = V129050 - 1. assign V743345 = 1. assign V639442 = V908572. assign V908572 = V914820 + 1. assign V578642 = V286136. assign V242350 = V503387. assign V201036 = V160858 - 1. assign V214385 = V681039. assign V189959 = V778937 - 1. assign V993413 = V914820. assign V430460 = V166337.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV743345 = 1;\n\nFrom these direct assignment(s), we have: \nV460218 = V743345 - 1 = 1 - 1 =0;\nNo other variables can be derived from V460218;\nNo other variables can be derived from V743345;\n\nNow we have done all the calculations. Derived variables are:\nV743345 = 1;\nV460218 = 0;\n\nNow we have finished this problem. ANSWER:\nV743345\n", "role": "assistant" } ]

[ "V308992" ]

[ { "content": "<context>\nassign V490001 = V169478 + 1. assign V952672 = V804247 - 1. assign V141019 = V920338 + 1. assign V740250 = V317972 + 1. assign V503111 = V740250 + 1. assign V158258 = V917594 + 1. assign V160659 = V162677 - 1. assign V162677 = V141019. assign V978606 = V740250 - 1. assign V916311 = V141019 - 1. assign V173420 = V101524 - 1. assign V498263 = V949436 - 1. assign V082742 = V588721 + 1. assign V188725 = V222294 + 1. assign V367576 = V926755. assign V802953 = V920338 + 1. assign V146581 = V222291 + 1. assign V428349 = V222291 + 1. assign V579672 = V588721. assign V326231 = V566101 - 1. assign V090029 = V169478 - 1. assign V222294 = V978606. assign V471410 = V920338 - 1. assign V211970 = V222291 + 1. assign V622148 = V090029 + 1. assign V539987 = V916311 + 1. assign V701890 = V661288 + 1. assign V956167 = V588721 + 1. assign V139919 = V566101 + 1. assign V917594 = V307668. assign V567040 = V949436 + 1. assign V634829 = V566503. assign V926755 = V158258 + 1. assign V222291 = V916311 + 1. assign V424034 = V420038 + 1. assign V892383 = V141019 - 1. assign V105823 = V141019 - 1. assign V101524 = V415929 + 1. assign V101580 = V877233 - 1. assign V493271 = V802953 - 1. assign V420038 = V162677. assign V320957 = V920338 + 1. assign V605262 = V169478. assign V191161 = V661288 + 1. assign V307668 = V162677 + 1. assign V804247 = V420038 + 1. assign V212790 = V663306. assign V415929 = V222294 + 1. assign V308992 = V734882 - 1. assign V169478 = V920338. assign V709810 = V740250. assign V134967 = V953657 - 1. assign V512553 = V424034 + 1. assign V734882 = 8. assign V835256 = V953657. assign V490078 = V211970 - 1. assign V114775 = V953657 - 1. assign V953657 = V978606. assign V308033 = V330533 - 1. assign V253658 = V512553. assign V432321 = V320957 - 1. assign V126450 = V173654. assign V613318 = V588721. assign V563837 = V916311 + 1. assign V112074 = V141019. assign V173654 = V949436. assign V949436 = V920338. assign V566101 = V835256 - 1. assign V075625 = V920338. assign V566503 = V949436 - 1. assign V295800 = V563837. assign V273639 = V090029 + 1. assign V330533 = V740250 - 1. assign V785893 = V158258 + 1. assign V588721 = V916311. assign V661288 = V802953 - 1. assign V620700 = V588721 - 1. assign V280933 = V090029 + 1. assign V608528 = V173654 - 1. assign V663306 = V740250 - 1. assign V298997 = V162677 + 1. assign V877233 = V141019. assign V781076 = V420038 + 1. assign V130028 = V101524. assign V317972 = V920338. assign V978712 = V082742 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V490001 = V169478 + 1. assign V952672 = V804247 - 1. assign V141019 = V920338 + 1. assign V740250 = V317972 + 1. assign V503111 = V740250 + 1. assign V158258 = V917594 + 1. assign V160659 = V162677 - 1. assign V162677 = V141019. assign V978606 = V740250 - 1. assign V916311 = V141019 - 1. assign V173420 = V101524 - 1. assign V498263 = V949436 - 1. assign V082742 = V588721 + 1. assign V188725 = V222294 + 1. assign V367576 = V926755. assign V802953 = V920338 + 1. assign V146581 = V222291 + 1. assign V428349 = V222291 + 1. assign V579672 = V588721. assign V326231 = V566101 - 1. assign V090029 = V169478 - 1. assign V222294 = V978606. assign V471410 = V920338 - 1. assign V211970 = V222291 + 1. assign V622148 = V090029 + 1. assign V539987 = V916311 + 1. assign V701890 = V661288 + 1. assign V956167 = V588721 + 1. assign V139919 = V566101 + 1. assign V917594 = V307668. assign V567040 = V949436 + 1. assign V634829 = V566503. assign V926755 = V158258 + 1. assign V222291 = V916311 + 1. assign V424034 = V420038 + 1. assign V892383 = V141019 - 1. assign V105823 = V141019 - 1. assign V101524 = V415929 + 1. assign V101580 = V877233 - 1. assign V493271 = V802953 - 1. assign V420038 = V162677. assign V320957 = V920338 + 1. assign V605262 = V169478. assign V191161 = V661288 + 1. assign V307668 = V162677 + 1. assign V804247 = V420038 + 1. assign V212790 = V663306. assign V415929 = V222294 + 1. assign V308992 = V734882 - 1. assign V169478 = V920338. assign V709810 = V740250. assign V134967 = V953657 - 1. assign V512553 = V424034 + 1. assign V734882 = 8. assign V835256 = V953657. assign V490078 = V211970 - 1. assign V114775 = V953657 - 1. assign V953657 = V978606. assign V308033 = V330533 - 1. assign V253658 = V512553. assign V432321 = V320957 - 1. assign V126450 = V173654. assign V613318 = V588721. assign V563837 = V916311 + 1. assign V112074 = V141019. assign V173654 = V949436. assign V949436 = V920338. assign V566101 = V835256 - 1. assign V075625 = V920338. assign V566503 = V949436 - 1. assign V295800 = V563837. assign V273639 = V090029 + 1. assign V330533 = V740250 - 1. assign V785893 = V158258 + 1. assign V588721 = V916311. assign V661288 = V802953 - 1. assign V620700 = V588721 - 1. assign V280933 = V090029 + 1. assign V608528 = V173654 - 1. assign V663306 = V740250 - 1. assign V298997 = V162677 + 1. assign V877233 = V141019. assign V781076 = V420038 + 1. assign V130028 = V101524. assign V317972 = V920338. assign V978712 = V082742 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV734882 = 8;\n\nFrom these direct assignment(s), we have: \nV308992 = V734882 - 1 = 8 - 1 =7;\nNo other variables can be derived from V308992;\nNo other variables can be derived from V734882;\n\nNow we have done all the calculations. Derived variables are:\nV734882 = 8;\nV308992 = 7;\n\nNow we have finished this problem. ANSWER:\nV308992\n", "role": "assistant" } ]

[ "V776915" ]

[ { "content": "<context>\nassign V167088 = V802718 + 1. assign V902641 = V402951. assign V888883 = V840751 + 1. assign V510827 = V543944 + 1. assign V860633 = V321031 - 1. assign V710199 = V157306. assign V422853 = V575410. assign V810555 = V543944. assign V543944 = V157306 + 1. assign V941038 = V810555 + 1. assign V117922 = V412178 - 1. assign V499422 = V342620 + 1. assign V224743 = V070855 + 1. assign V670719 = V794767 - 1. assign V261725 = V920378 + 1. assign V575410 = V157306. assign V321031 = V620199 + 1. assign V448963 = V927724 + 1. assign V040433 = V661104 + 1. assign V295225 = V305258. assign V312472 = V510827 - 1. assign V725994 = V291929 + 1. assign V647114 = V422853. assign V776915 = V374916 + 1. assign V547214 = V423825. assign V341295 = V193482 - 1. assign V620199 = V053002 + 1. assign V291929 = V902641 + 1. assign V482330 = V070855. assign V802718 = V758186. assign V505364 = V543944 + 1. assign V563288 = V291929 - 1. assign V661104 = V641342 - 1. assign V275438 = V758186 - 1. assign V230872 = V647114 - 1. assign V600481 = V224743 - 1. assign V348539 = V033806 + 1. assign V078959 = V758186 + 1. assign V947348 = V321031. assign V402951 = V422853 - 1. assign V115071 = V506400 + 1. assign V231973 = V341295. assign V053002 = V193482 - 1. assign V027080 = V941038 + 1. assign V423825 = V157306 - 1. assign V653752 = V641342 + 1. assign V929651 = V271608. assign V374916 = 0. assign V506400 = V422853 + 1. assign V994521 = V193482 - 1. assign V758186 = V053002. assign V271608 = V191517 + 1. assign V920378 = V070855. assign V604712 = V271608 - 1. assign V825471 = V191517. assign V840751 = V422853. assign V342620 = V027080 + 1. assign V045420 = V641342. assign V927724 = V547214 - 1. assign V722937 = V575410. assign V794767 = V941038. assign V045566 = V275722 + 1. assign V139655 = V941038 - 1. assign V955258 = V224743. assign V033806 = V395092 + 1. assign V191517 = V422853 - 1. assign V456614 = V070855. assign V641342 = V802718. assign V592459 = V947348 - 1. assign V070855 = V794767 - 1. assign V518014 = V543944 + 1. assign V870788 = V078959. assign V305258 = V193482. assign V113201 = V145379 + 1. assign V881192 = V113201 + 1. assign V626668 = V575410. assign V412178 = V191517 - 1. assign V193482 = V275722. assign V145379 = V033806. assign V460858 = V810555 + 1. assign V395092 = V157306 + 1. assign V606293 = V070855 - 1. assign V275722 = V395092 - 1. assign V522783 = V600481 + 1. assign V432539 = V460858. assign V378147 = V506400 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V167088 = V802718 + 1. assign V902641 = V402951. assign V888883 = V840751 + 1. assign V510827 = V543944 + 1. assign V860633 = V321031 - 1. assign V710199 = V157306. assign V422853 = V575410. assign V810555 = V543944. assign V543944 = V157306 + 1. assign V941038 = V810555 + 1. assign V117922 = V412178 - 1. assign V499422 = V342620 + 1. assign V224743 = V070855 + 1. assign V670719 = V794767 - 1. assign V261725 = V920378 + 1. assign V575410 = V157306. assign V321031 = V620199 + 1. assign V448963 = V927724 + 1. assign V040433 = V661104 + 1. assign V295225 = V305258. assign V312472 = V510827 - 1. assign V725994 = V291929 + 1. assign V647114 = V422853. assign V776915 = V374916 + 1. assign V547214 = V423825. assign V341295 = V193482 - 1. assign V620199 = V053002 + 1. assign V291929 = V902641 + 1. assign V482330 = V070855. assign V802718 = V758186. assign V505364 = V543944 + 1. assign V563288 = V291929 - 1. assign V661104 = V641342 - 1. assign V275438 = V758186 - 1. assign V230872 = V647114 - 1. assign V600481 = V224743 - 1. assign V348539 = V033806 + 1. assign V078959 = V758186 + 1. assign V947348 = V321031. assign V402951 = V422853 - 1. assign V115071 = V506400 + 1. assign V231973 = V341295. assign V053002 = V193482 - 1. assign V027080 = V941038 + 1. assign V423825 = V157306 - 1. assign V653752 = V641342 + 1. assign V929651 = V271608. assign V374916 = 0. assign V506400 = V422853 + 1. assign V994521 = V193482 - 1. assign V758186 = V053002. assign V271608 = V191517 + 1. assign V920378 = V070855. assign V604712 = V271608 - 1. assign V825471 = V191517. assign V840751 = V422853. assign V342620 = V027080 + 1. assign V045420 = V641342. assign V927724 = V547214 - 1. assign V722937 = V575410. assign V794767 = V941038. assign V045566 = V275722 + 1. assign V139655 = V941038 - 1. assign V955258 = V224743. assign V033806 = V395092 + 1. assign V191517 = V422853 - 1. assign V456614 = V070855. assign V641342 = V802718. assign V592459 = V947348 - 1. assign V070855 = V794767 - 1. assign V518014 = V543944 + 1. assign V870788 = V078959. assign V305258 = V193482. assign V113201 = V145379 + 1. assign V881192 = V113201 + 1. assign V626668 = V575410. assign V412178 = V191517 - 1. assign V193482 = V275722. assign V145379 = V033806. assign V460858 = V810555 + 1. assign V395092 = V157306 + 1. assign V606293 = V070855 - 1. assign V275722 = V395092 - 1. assign V522783 = V600481 + 1. assign V432539 = V460858. assign V378147 = V506400 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV374916 = 0;\n\nFrom these direct assignment(s), we have: \nV776915 = V374916 + 1 = 0 + 1 =1;\nNo other variables can be derived from V776915;\nNo other variables can be derived from V374916;\n\nNow we have done all the calculations. Derived variables are:\nV374916 = 0;\nV776915 = 1;\n\nNow we have finished this problem. ANSWER:\nV776915\n", "role": "assistant" } ]

[ "V135916" ]

[ { "content": "<context>\nassign V810708 = V790250 - 1. assign V063151 = V819675 + 1. assign V432934 = V431106. assign V679506 = V263097 + 1. assign V087040 = V992382 + 1. assign V893733 = V263097. assign V957650 = V678764 - 1. assign V900576 = V833587 - 1. assign V765852 = V271331 + 1. assign V542718 = V063151 - 1. assign V863667 = V678010 + 1. assign V564817 = V442705. assign V882199 = V819675. assign V163842 = V567669 + 1. assign V695139 = V910014 - 1. assign V552334 = V135916 + 1. assign V854697 = V603070 - 1. assign V223042 = V043124 - 1. assign V678099 = V133796 - 1. assign V427143 = V672737. assign V314625 = V122087 - 1. assign V833587 = V678099. assign V159166 = V790250 - 1. assign V863255 = V413432 + 1. assign V315357 = V856409 - 1. assign V431106 = V669627 + 1. assign V695816 = V939164 - 1. assign V979205 = V992382 - 1. assign V185050 = V432934. assign V177095 = V790250 - 1. assign V386199 = V740519 - 1. assign V714400 = V790250 - 1. assign V910014 = V616040 - 1. assign V122087 = V338338. assign V242886 = V133796 - 1. assign V897922 = V607209 + 1. assign V567669 = V133796 - 1. assign V740519 = V882199 - 1. assign V430306 = V679506 + 1. assign V383995 = V893733. assign V657258 = V263097. assign V352748 = V976047 - 1. assign V786391 = V790250. assign V678764 = V790250. assign V672737 = V669627 - 1. assign V284703 = V442705 + 1. assign V721421 = V616040. assign V174374 = V567669 + 1. assign V197968 = V714400. assign V133796 = V939164. assign V336134 = V678764. assign V976047 = V740519 - 1. assign V927658 = V242886. assign V263097 = V939164 + 1. assign V128301 = V786391 - 1. assign V607209 = V833587. assign V868594 = V790250 - 1. assign V291331 = V650193 - 1. assign V678010 = V650193. assign V603070 = V992382. assign V089633 = V695139 + 1. assign V669627 = V133796. assign V043124 = V790250 + 1. assign V605063 = V678010. assign V625226 = V939164. assign V008134 = V177095 - 1. assign V413432 = V678099 - 1. assign V819675 = V567669 + 1. assign V802238 = V721421 + 1. assign V992382 = V257983 + 1. assign V794012 = V678764 + 1. assign V271331 = V790250. assign V185594 = V122087. assign V616040 = V271331 - 1. assign V223134 = V868594 + 1. assign V442705 = V790250 + 1. assign V540505 = V721421 - 1. assign V856409 = V625226. assign V650193 = V242886. assign V135916 = 6. assign V257983 = V786391. assign V790250 = V939164 + 1. assign V719429 = V810708 - 1. assign V996720 = V992382 + 1. assign V338338 = V257983. assign V494805 = V765852 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V810708 = V790250 - 1. assign V063151 = V819675 + 1. assign V432934 = V431106. assign V679506 = V263097 + 1. assign V087040 = V992382 + 1. assign V893733 = V263097. assign V957650 = V678764 - 1. assign V900576 = V833587 - 1. assign V765852 = V271331 + 1. assign V542718 = V063151 - 1. assign V863667 = V678010 + 1. assign V564817 = V442705. assign V882199 = V819675. assign V163842 = V567669 + 1. assign V695139 = V910014 - 1. assign V552334 = V135916 + 1. assign V854697 = V603070 - 1. assign V223042 = V043124 - 1. assign V678099 = V133796 - 1. assign V427143 = V672737. assign V314625 = V122087 - 1. assign V833587 = V678099. assign V159166 = V790250 - 1. assign V863255 = V413432 + 1. assign V315357 = V856409 - 1. assign V431106 = V669627 + 1. assign V695816 = V939164 - 1. assign V979205 = V992382 - 1. assign V185050 = V432934. assign V177095 = V790250 - 1. assign V386199 = V740519 - 1. assign V714400 = V790250 - 1. assign V910014 = V616040 - 1. assign V122087 = V338338. assign V242886 = V133796 - 1. assign V897922 = V607209 + 1. assign V567669 = V133796 - 1. assign V740519 = V882199 - 1. assign V430306 = V679506 + 1. assign V383995 = V893733. assign V657258 = V263097. assign V352748 = V976047 - 1. assign V786391 = V790250. assign V678764 = V790250. assign V672737 = V669627 - 1. assign V284703 = V442705 + 1. assign V721421 = V616040. assign V174374 = V567669 + 1. assign V197968 = V714400. assign V133796 = V939164. assign V336134 = V678764. assign V976047 = V740519 - 1. assign V927658 = V242886. assign V263097 = V939164 + 1. assign V128301 = V786391 - 1. assign V607209 = V833587. assign V868594 = V790250 - 1. assign V291331 = V650193 - 1. assign V678010 = V650193. assign V603070 = V992382. assign V089633 = V695139 + 1. assign V669627 = V133796. assign V043124 = V790250 + 1. assign V605063 = V678010. assign V625226 = V939164. assign V008134 = V177095 - 1. assign V413432 = V678099 - 1. assign V819675 = V567669 + 1. assign V802238 = V721421 + 1. assign V992382 = V257983 + 1. assign V794012 = V678764 + 1. assign V271331 = V790250. assign V185594 = V122087. assign V616040 = V271331 - 1. assign V223134 = V868594 + 1. assign V442705 = V790250 + 1. assign V540505 = V721421 - 1. assign V856409 = V625226. assign V650193 = V242886. assign V135916 = 6. assign V257983 = V786391. assign V790250 = V939164 + 1. assign V719429 = V810708 - 1. assign V996720 = V992382 + 1. assign V338338 = V257983. assign V494805 = V765852 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV135916 = 6;\n\nFrom these direct assignment(s), we have: \nV552334 = V135916 + 1 = 6 + 1 =7;\nNo other variables can be derived from V552334;\nNo other variables can be derived from V135916;\n\nNow we have done all the calculations. Derived variables are:\nV135916 = 6;\nV552334 = 7;\n\nNow we have finished this problem. ANSWER:\nV135916\n", "role": "assistant" } ]

[ "V684392", "V044146" ]

[ { "content": "<context>\nassign V086938 = V597442 + 1. assign V764434 = V092118. assign V668119 = V805883 + 1. assign V339345 = V842507 - 1. assign V565107 = V785809 - 1. assign V592662 = V008618 - 1. assign V619899 = V764434 - 1. assign V698607 = V482553 + 1. assign V785809 = V619899. assign V012260 = V842507 - 1. assign V245662 = V354252. assign V354252 = V443364. assign V848164 = V599259. assign V496687 = V548932. assign V683698 = V990765 - 1. assign V784235 = V407048. assign V778801 = V003163. assign V131005 = V358638 + 1. assign V457856 = V511750 + 1. assign V116662 = V361054 - 1. assign V548932 = V478891 - 1. assign V859328 = V979595 - 1. assign V562286 = V103426 - 1. assign V525347 = V249087. assign V223010 = V358638 + 1. assign V100190 = V784235 - 1. assign V922516 = V131005. assign V633031 = V764434 - 1. assign V004445 = V764434. assign V138636 = V496687 - 1. assign V990765 = V343843 + 1. assign V134980 = V100190. assign V087046 = V100190 - 1. assign V333283 = V012260 - 1. assign V539071 = V535769 + 1. assign V930701 = V562286 - 1. assign V250973 = V562286 - 1. assign V597442 = V008618 + 1. assign V342414 = V990765 + 1. assign V979595 = V683698 + 1. assign V045694 = V848164 + 1. assign V008618 = V990765 - 1. assign V635371 = V036777 + 1. assign V684392 = 8. assign V170666 = V408391. assign V361054 = V633031. assign V092118 = V548932 - 1. assign V367639 = V784235 - 1. assign V977686 = V263610 + 1. assign V799823 = V333283. assign V491170 = V342414. assign V703448 = V367639 - 1. assign V183518 = V785809 + 1. assign V154374 = V977686. assign V388524 = V408391 + 1. assign V403698 = V491170 - 1. assign V443364 = V548932. assign V743744 = V443364. assign V482553 = V092118. assign V343843 = V100190. assign V805883 = V784235 + 1. assign V997566 = V004445 + 1. assign V485926 = V249087 + 1. assign V055579 = V548733 + 1. assign V961761 = V443364 + 1. assign V980500 = V443364. assign V263610 = V599259 - 1. assign V044146 = V684392. assign V408391 = V154374 + 1. assign V842507 = V980500 + 1. assign V358638 = V478891 + 1. assign V680182 = V599259 + 1. assign V599259 = V784235 + 1. assign V083875 = V848164 - 1. assign V867956 = V407048. assign V103426 = V478891 + 1. assign V003163 = V263610 + 1. assign V535769 = V548932 - 1. assign V249087 = V008618 - 1. assign V511750 = V103426. assign V478891 = V784235 - 1. assign V684407 = V358638 + 1. assign V566318 = V083875 + 1. assign V548733 = V784235. assign V123752 = V388524 + 1. assign V036777 = V358638.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V086938 = V597442 + 1. assign V764434 = V092118. assign V668119 = V805883 + 1. assign V339345 = V842507 - 1. assign V565107 = V785809 - 1. assign V592662 = V008618 - 1. assign V619899 = V764434 - 1. assign V698607 = V482553 + 1. assign V785809 = V619899. assign V012260 = V842507 - 1. assign V245662 = V354252. assign V354252 = V443364. assign V848164 = V599259. assign V496687 = V548932. assign V683698 = V990765 - 1. assign V784235 = V407048. assign V778801 = V003163. assign V131005 = V358638 + 1. assign V457856 = V511750 + 1. assign V116662 = V361054 - 1. assign V548932 = V478891 - 1. assign V859328 = V979595 - 1. assign V562286 = V103426 - 1. assign V525347 = V249087. assign V223010 = V358638 + 1. assign V100190 = V784235 - 1. assign V922516 = V131005. assign V633031 = V764434 - 1. assign V004445 = V764434. assign V138636 = V496687 - 1. assign V990765 = V343843 + 1. assign V134980 = V100190. assign V087046 = V100190 - 1. assign V333283 = V012260 - 1. assign V539071 = V535769 + 1. assign V930701 = V562286 - 1. assign V250973 = V562286 - 1. assign V597442 = V008618 + 1. assign V342414 = V990765 + 1. assign V979595 = V683698 + 1. assign V045694 = V848164 + 1. assign V008618 = V990765 - 1. assign V635371 = V036777 + 1. assign V684392 = 8. assign V170666 = V408391. assign V361054 = V633031. assign V092118 = V548932 - 1. assign V367639 = V784235 - 1. assign V977686 = V263610 + 1. assign V799823 = V333283. assign V491170 = V342414. assign V703448 = V367639 - 1. assign V183518 = V785809 + 1. assign V154374 = V977686. assign V388524 = V408391 + 1. assign V403698 = V491170 - 1. assign V443364 = V548932. assign V743744 = V443364. assign V482553 = V092118. assign V343843 = V100190. assign V805883 = V784235 + 1. assign V997566 = V004445 + 1. assign V485926 = V249087 + 1. assign V055579 = V548733 + 1. assign V961761 = V443364 + 1. assign V980500 = V443364. assign V263610 = V599259 - 1. assign V044146 = V684392. assign V408391 = V154374 + 1. assign V842507 = V980500 + 1. assign V358638 = V478891 + 1. assign V680182 = V599259 + 1. assign V599259 = V784235 + 1. assign V083875 = V848164 - 1. assign V867956 = V407048. assign V103426 = V478891 + 1. assign V003163 = V263610 + 1. assign V535769 = V548932 - 1. assign V249087 = V008618 - 1. assign V511750 = V103426. assign V478891 = V784235 - 1. assign V684407 = V358638 + 1. assign V566318 = V083875 + 1. assign V548733 = V784235. assign V123752 = V388524 + 1. assign V036777 = V358638.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV684392 = 8;\n\nFrom these direct assignment(s), we have: \nV044146 = V684392 = 8;\nNo other variables can be derived from V044146;\nNo other variables can be derived from V684392;\n\nNow we have done all the calculations. Derived variables are:\nV684392 = 8;\nV044146 = 8;\n\nNow we have finished this problem. ANSWER:\nV684392, V044146\n", "role": "assistant" } ]

[ "V052930" ]

[ { "content": "<context>\nassign V354165 = V848754 + 1. assign V653308 = V876059. assign V264218 = V771351 - 1. assign V034930 = V715487 + 1. assign V808369 = V328822 - 1. assign V875793 = V083542 - 1. assign V482688 = V166239. assign V255539 = V637927. assign V551299 = V470399 - 1. assign V587668 = V447935 + 1. assign V676333 = V470399 + 1. assign V367535 = V848754 - 1. assign V176055 = V490677 + 1. assign V140784 = V612832 - 1. assign V612832 = V862503. assign V052930 = V592140 + 1. assign V897195 = V350558 - 1. assign V010100 = V232048 - 1. assign V492857 = V930405. assign V856490 = V978037. assign V821982 = V140784 - 1. assign V309921 = V470399 + 1. assign V261963 = V521975 + 1. assign V447935 = V719759 - 1. assign V085150 = V771351. assign V669265 = V715487. assign V083542 = V594331. assign V775324 = V482688 + 1. assign V771351 = V719759. assign V930405 = V166239 + 1. assign V350558 = V719759. assign V070359 = V862503. assign V759912 = V808369. assign V300986 = V734677 + 1. assign V787312 = V465474. assign V597679 = V140784 - 1. assign V166239 = V025572 - 1. assign V637927 = V447935 - 1. assign V727001 = V771351. assign V978037 = V465185 + 1. assign V840158 = V560882. assign V521975 = V025572 + 1. assign V286746 = V905774 + 1. assign V490677 = V612832 - 1. assign V485255 = V447935 + 1. assign V057471 = V232048 + 1. assign V283871 = V010100 + 1. assign V128233 = V637927 + 1. assign V719759 = V328822 - 1. assign V777741 = V862503 + 1. assign V465185 = V597679 + 1. assign V470399 = V777741. assign V502510 = V594331 + 1. assign V264364 = V070359 - 1. assign V901417 = V328822 + 1. assign V814312 = V808369 + 1. assign V012833 = V502510. assign V715487 = V010100. assign V850354 = V070359 + 1. assign V862503 = V637927 + 1. assign V849522 = V286746. assign V624538 = V587668 + 1. assign V769142 = V261963. assign V871215 = V232048. assign V905774 = V166239 - 1. assign V461273 = V862503. assign V584003 = V862503. assign V848754 = V461273 + 1. assign V406360 = V584003 - 1. assign V734677 = V521975 + 1. assign V232048 = V166239. assign V201516 = V719759. assign V891123 = V653308 + 1. assign V592140 = 6. assign V770735 = V848754 + 1. assign V101124 = V734808 - 1. assign V855694 = V521975. assign V876059 = V862503. assign V025572 = V328822 + 1. assign V560882 = V447935 + 1. assign V586157 = V465474. assign V734808 = V447935 + 1. assign V465474 = V482688. assign V594331 = V261963 + 1. assign V147779 = V814312 + 1. assign V748128 = V669265 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V354165 = V848754 + 1. assign V653308 = V876059. assign V264218 = V771351 - 1. assign V034930 = V715487 + 1. assign V808369 = V328822 - 1. assign V875793 = V083542 - 1. assign V482688 = V166239. assign V255539 = V637927. assign V551299 = V470399 - 1. assign V587668 = V447935 + 1. assign V676333 = V470399 + 1. assign V367535 = V848754 - 1. assign V176055 = V490677 + 1. assign V140784 = V612832 - 1. assign V612832 = V862503. assign V052930 = V592140 + 1. assign V897195 = V350558 - 1. assign V010100 = V232048 - 1. assign V492857 = V930405. assign V856490 = V978037. assign V821982 = V140784 - 1. assign V309921 = V470399 + 1. assign V261963 = V521975 + 1. assign V447935 = V719759 - 1. assign V085150 = V771351. assign V669265 = V715487. assign V083542 = V594331. assign V775324 = V482688 + 1. assign V771351 = V719759. assign V930405 = V166239 + 1. assign V350558 = V719759. assign V070359 = V862503. assign V759912 = V808369. assign V300986 = V734677 + 1. assign V787312 = V465474. assign V597679 = V140784 - 1. assign V166239 = V025572 - 1. assign V637927 = V447935 - 1. assign V727001 = V771351. assign V978037 = V465185 + 1. assign V840158 = V560882. assign V521975 = V025572 + 1. assign V286746 = V905774 + 1. assign V490677 = V612832 - 1. assign V485255 = V447935 + 1. assign V057471 = V232048 + 1. assign V283871 = V010100 + 1. assign V128233 = V637927 + 1. assign V719759 = V328822 - 1. assign V777741 = V862503 + 1. assign V465185 = V597679 + 1. assign V470399 = V777741. assign V502510 = V594331 + 1. assign V264364 = V070359 - 1. assign V901417 = V328822 + 1. assign V814312 = V808369 + 1. assign V012833 = V502510. assign V715487 = V010100. assign V850354 = V070359 + 1. assign V862503 = V637927 + 1. assign V849522 = V286746. assign V624538 = V587668 + 1. assign V769142 = V261963. assign V871215 = V232048. assign V905774 = V166239 - 1. assign V461273 = V862503. assign V584003 = V862503. assign V848754 = V461273 + 1. assign V406360 = V584003 - 1. assign V734677 = V521975 + 1. assign V232048 = V166239. assign V201516 = V719759. assign V891123 = V653308 + 1. assign V592140 = 6. assign V770735 = V848754 + 1. assign V101124 = V734808 - 1. assign V855694 = V521975. assign V876059 = V862503. assign V025572 = V328822 + 1. assign V560882 = V447935 + 1. assign V586157 = V465474. assign V734808 = V447935 + 1. assign V465474 = V482688. assign V594331 = V261963 + 1. assign V147779 = V814312 + 1. assign V748128 = V669265 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV592140 = 6;\n\nFrom these direct assignment(s), we have: \nV052930 = V592140 + 1 = 6 + 1 =7;\nNo other variables can be derived from V052930;\nNo other variables can be derived from V592140;\n\nNow we have done all the calculations. Derived variables are:\nV592140 = 6;\nV052930 = 7;\n\nNow we have finished this problem. ANSWER:\nV052930\n", "role": "assistant" } ]

[ "V761702" ]

[ { "content": "<context>\nassign V824256 = V868400 + 1. assign V289061 = V910404 + 1. assign V530293 = V868400. assign V353050 = V891951 + 1. assign V133201 = V636800 - 1. assign V019355 = V252139 - 1. assign V386009 = V870497 - 1. assign V306574 = V540125. assign V969797 = V508554 - 1. assign V910404 = V891951 - 1. assign V891951 = V470437. assign V380298 = V460762 - 1. assign V372865 = V367745 + 1. assign V503680 = V439377. assign V552615 = V847994 + 1. assign V395606 = V470214. assign V573919 = V448580. assign V001702 = V527824 + 1. assign V912305 = V652949. assign V314129 = V525597 + 1. assign V508554 = V470437 + 1. assign V690168 = V941859. assign V470437 = V470214 - 1. assign V647641 = V458792 + 1. assign V882740 = V912305 - 1. assign V458792 = V925483 + 1. assign V277540 = V868400. assign V241773 = V882740 + 1. assign V200014 = V241773. assign V761702 = 4. assign V406635 = V470437 - 1. assign V276463 = V458792 - 1. assign V367745 = V380298. assign V396321 = V802546. assign V306114 = V503680. assign V932210 = V761702 - 1. assign V525597 = V243658 + 1. assign V252139 = V774943 - 1. assign V802546 = V636800 + 1. assign V876534 = V283559 + 1. assign V392492 = V458792 - 1. assign V439377 = V540125. assign V774943 = V392492. assign V113176 = V868400 - 1. assign V572134 = V508554 - 1. assign V294656 = V243658 - 1. assign V937596 = V969797 - 1. assign V877421 = V533603 + 1. assign V722454 = V386009. assign V491447 = V460762 + 1. assign V037198 = V283559 - 1. assign V789843 = V458792 - 1. assign V114679 = V241773. assign V470214 = V288525 + 1. assign V870497 = V155999. assign V262779 = V552615 + 1. assign V057860 = V243658. assign V283559 = V320001 + 1. assign V595761 = V525597 - 1. assign V155999 = V439377 - 1. assign V847994 = V320001 + 1. assign V142756 = V912305 + 1. assign V941859 = V891951 + 1. assign V540125 = V458792. assign V652949 = V458792 + 1. assign V836308 = V458792 - 1. assign V636800 = V925483. assign V959713 = V670449 - 1. assign V243658 = V774943 + 1. assign V460762 = V277540 + 1. assign V934103 = V868400 - 1. assign V570175 = V882740 - 1. assign V288525 = V392492. assign V527824 = V925483 + 1. assign V842013 = V647641 + 1. assign V138709 = V470214 - 1. assign V187550 = V283559. assign V750760 = V533603 + 1. assign V657167 = V842013 - 1. assign V448580 = V288525 + 1. assign V183462 = V392492 + 1. assign V670449 = V288525. assign V533603 = V320001. assign V320001 = V882740 - 1. assign V216190 = V460762 + 1. assign V868400 = V925483 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V824256 = V868400 + 1. assign V289061 = V910404 + 1. assign V530293 = V868400. assign V353050 = V891951 + 1. assign V133201 = V636800 - 1. assign V019355 = V252139 - 1. assign V386009 = V870497 - 1. assign V306574 = V540125. assign V969797 = V508554 - 1. assign V910404 = V891951 - 1. assign V891951 = V470437. assign V380298 = V460762 - 1. assign V372865 = V367745 + 1. assign V503680 = V439377. assign V552615 = V847994 + 1. assign V395606 = V470214. assign V573919 = V448580. assign V001702 = V527824 + 1. assign V912305 = V652949. assign V314129 = V525597 + 1. assign V508554 = V470437 + 1. assign V690168 = V941859. assign V470437 = V470214 - 1. assign V647641 = V458792 + 1. assign V882740 = V912305 - 1. assign V458792 = V925483 + 1. assign V277540 = V868400. assign V241773 = V882740 + 1. assign V200014 = V241773. assign V761702 = 4. assign V406635 = V470437 - 1. assign V276463 = V458792 - 1. assign V367745 = V380298. assign V396321 = V802546. assign V306114 = V503680. assign V932210 = V761702 - 1. assign V525597 = V243658 + 1. assign V252139 = V774943 - 1. assign V802546 = V636800 + 1. assign V876534 = V283559 + 1. assign V392492 = V458792 - 1. assign V439377 = V540125. assign V774943 = V392492. assign V113176 = V868400 - 1. assign V572134 = V508554 - 1. assign V294656 = V243658 - 1. assign V937596 = V969797 - 1. assign V877421 = V533603 + 1. assign V722454 = V386009. assign V491447 = V460762 + 1. assign V037198 = V283559 - 1. assign V789843 = V458792 - 1. assign V114679 = V241773. assign V470214 = V288525 + 1. assign V870497 = V155999. assign V262779 = V552615 + 1. assign V057860 = V243658. assign V283559 = V320001 + 1. assign V595761 = V525597 - 1. assign V155999 = V439377 - 1. assign V847994 = V320001 + 1. assign V142756 = V912305 + 1. assign V941859 = V891951 + 1. assign V540125 = V458792. assign V652949 = V458792 + 1. assign V836308 = V458792 - 1. assign V636800 = V925483. assign V959713 = V670449 - 1. assign V243658 = V774943 + 1. assign V460762 = V277540 + 1. assign V934103 = V868400 - 1. assign V570175 = V882740 - 1. assign V288525 = V392492. assign V527824 = V925483 + 1. assign V842013 = V647641 + 1. assign V138709 = V470214 - 1. assign V187550 = V283559. assign V750760 = V533603 + 1. assign V657167 = V842013 - 1. assign V448580 = V288525 + 1. assign V183462 = V392492 + 1. assign V670449 = V288525. assign V533603 = V320001. assign V320001 = V882740 - 1. assign V216190 = V460762 + 1. assign V868400 = V925483 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV761702 = 4;\n\nFrom these direct assignment(s), we have: \nV932210 = V761702 - 1 = 4 - 1 =3;\nNo other variables can be derived from V932210;\nNo other variables can be derived from V761702;\n\nNow we have done all the calculations. Derived variables are:\nV761702 = 4;\nV932210 = 3;\n\nNow we have finished this problem. ANSWER:\nV761702\n", "role": "assistant" } ]

[ "V682447" ]

[ { "content": "<context>\nassign V261107 = V567243 - 1. assign V361642 = V055720 + 1. assign V337513 = V620952. assign V199688 = V458193. assign V880966 = V261107 - 1. assign V039455 = V034573 + 1. assign V573447 = V551441 + 1. assign V824011 = V567243 + 1. assign V000803 = V669005 + 1. assign V286967 = V862379. assign V958626 = V199688 - 1. assign V434399 = V999589 - 1. assign V999589 = V000803 - 1. assign V620952 = V971619. assign V160546 = V301890 - 1. assign V075641 = V718709 + 1. assign V382852 = V301890. assign V448214 = V971619 - 1. assign V682447 = 5. assign V855267 = V991547. assign V699643 = V354532 - 1. assign V805962 = V546533 - 1. assign V422499 = V415765. assign V549461 = V805962 + 1. assign V137527 = V498367 + 1. assign V034573 = V971619. assign V021347 = V539198 + 1. assign V338754 = V546533. assign V230396 = V055720 - 1. assign V773760 = V039455 + 1. assign V190477 = V054147 - 1. assign V539198 = V354532 + 1. assign V862379 = V634049 - 1. assign V169881 = V788606 - 1. assign V983353 = V634049. assign V852890 = V199688 + 1. assign V055720 = V999589 - 1. assign V881235 = V983353. assign V054128 = V448214. assign V794465 = V824011 - 1. assign V467022 = V498367 + 1. assign V189236 = V714499 - 1. assign V546533 = V199688. assign V809897 = V382852 - 1. assign V928348 = V567243 - 1. assign V487347 = V634049 - 1. assign V634049 = V261107. assign V971619 = V567243 - 1. assign V354532 = V634049. assign V301890 = V773760 - 1. assign V458193 = V971619 + 1. assign V958981 = V567243 - 1. assign V956044 = V805962 - 1. assign V718709 = V567243. assign V498367 = V669005 - 1. assign V612205 = V382852 + 1. assign V734019 = V669005 - 1. assign V054147 = V199688 - 1. assign V669005 = V567243 - 1. assign V745593 = V448214 + 1. assign V581407 = V054147 + 1. assign V511792 = V824011 - 1. assign V991547 = V567243 - 1. assign V934224 = V034573 - 1. assign V464329 = V434399 + 1. assign V015951 = V754271. assign V061808 = V301890. assign V098550 = V551441 + 1. assign V782132 = V098550. assign V326200 = V034573 - 1. assign V774153 = V999589 + 1. assign V415765 = V796397 - 1. assign V557192 = V774153 + 1. assign V629447 = V510889 + 1. assign V551441 = V629447 - 1. assign V788606 = V796397 + 1. assign V872050 = V261107 - 1. assign V583667 = V682447 + 1. assign V263745 = V971619. assign V762511 = V805962 + 1. assign V754271 = V581407 + 1. assign V163824 = V551441 + 1. assign V714499 = V448214 - 1. assign V796397 = V054147 - 1. assign V575873 = V301890 + 1. assign V510889 = V199688.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V261107 = V567243 - 1. assign V361642 = V055720 + 1. assign V337513 = V620952. assign V199688 = V458193. assign V880966 = V261107 - 1. assign V039455 = V034573 + 1. assign V573447 = V551441 + 1. assign V824011 = V567243 + 1. assign V000803 = V669005 + 1. assign V286967 = V862379. assign V958626 = V199688 - 1. assign V434399 = V999589 - 1. assign V999589 = V000803 - 1. assign V620952 = V971619. assign V160546 = V301890 - 1. assign V075641 = V718709 + 1. assign V382852 = V301890. assign V448214 = V971619 - 1. assign V682447 = 5. assign V855267 = V991547. assign V699643 = V354532 - 1. assign V805962 = V546533 - 1. assign V422499 = V415765. assign V549461 = V805962 + 1. assign V137527 = V498367 + 1. assign V034573 = V971619. assign V021347 = V539198 + 1. assign V338754 = V546533. assign V230396 = V055720 - 1. assign V773760 = V039455 + 1. assign V190477 = V054147 - 1. assign V539198 = V354532 + 1. assign V862379 = V634049 - 1. assign V169881 = V788606 - 1. assign V983353 = V634049. assign V852890 = V199688 + 1. assign V055720 = V999589 - 1. assign V881235 = V983353. assign V054128 = V448214. assign V794465 = V824011 - 1. assign V467022 = V498367 + 1. assign V189236 = V714499 - 1. assign V546533 = V199688. assign V809897 = V382852 - 1. assign V928348 = V567243 - 1. assign V487347 = V634049 - 1. assign V634049 = V261107. assign V971619 = V567243 - 1. assign V354532 = V634049. assign V301890 = V773760 - 1. assign V458193 = V971619 + 1. assign V958981 = V567243 - 1. assign V956044 = V805962 - 1. assign V718709 = V567243. assign V498367 = V669005 - 1. assign V612205 = V382852 + 1. assign V734019 = V669005 - 1. assign V054147 = V199688 - 1. assign V669005 = V567243 - 1. assign V745593 = V448214 + 1. assign V581407 = V054147 + 1. assign V511792 = V824011 - 1. assign V991547 = V567243 - 1. assign V934224 = V034573 - 1. assign V464329 = V434399 + 1. assign V015951 = V754271. assign V061808 = V301890. assign V098550 = V551441 + 1. assign V782132 = V098550. assign V326200 = V034573 - 1. assign V774153 = V999589 + 1. assign V415765 = V796397 - 1. assign V557192 = V774153 + 1. assign V629447 = V510889 + 1. assign V551441 = V629447 - 1. assign V788606 = V796397 + 1. assign V872050 = V261107 - 1. assign V583667 = V682447 + 1. assign V263745 = V971619. assign V762511 = V805962 + 1. assign V754271 = V581407 + 1. assign V163824 = V551441 + 1. assign V714499 = V448214 - 1. assign V796397 = V054147 - 1. assign V575873 = V301890 + 1. assign V510889 = V199688.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV682447 = 5;\n\nFrom these direct assignment(s), we have: \nV583667 = V682447 + 1 = 5 + 1 =6;\nNo other variables can be derived from V583667;\nNo other variables can be derived from V682447;\n\nNow we have done all the calculations. Derived variables are:\nV682447 = 5;\nV583667 = 6;\n\nNow we have finished this problem. ANSWER:\nV682447\n", "role": "assistant" } ]

[ "V883228", "V736269" ]

[ { "content": "<context>\nassign V869656 = V673052 + 1. assign V283031 = V713316. assign V914495 = V578914. assign V449225 = V973718. assign V278321 = V735834 + 1. assign V439537 = V608832 + 1. assign V863223 = V869656. assign V757464 = V716816. assign V089677 = V578914. assign V878796 = V735834 + 1. assign V022614 = V431973 - 1. assign V893536 = V601454. assign V289504 = V278321 + 1. assign V728086 = V634978 - 1. assign V395593 = V735834 + 1. assign V601454 = V909506. assign V205561 = V231514 + 1. assign V803425 = V973718 - 1. assign V620311 = V082247. assign V641843 = V382968. assign V834986 = V634978. assign V738892 = V354150 + 1. assign V883228 = 10. assign V909506 = V431973. assign V653752 = V893536 - 1. assign V713316 = V099715. assign V369302 = V086372 + 1. assign V296299 = V556978 + 1. assign V817830 = V716816 + 1. assign V563930 = V641843. assign V703423 = V158913 + 1. assign V825835 = V562218 - 1. assign V673052 = V973718 + 1. assign V152672 = V869656 - 1. assign V364496 = V973718 + 1. assign V736269 = V883228. assign V969832 = V641843 - 1. assign V276986 = V283031 - 1. assign V158184 = V625421 - 1. assign V578914 = V449225 + 1. assign V663780 = V877001 - 1. assign V454055 = V548381 - 1. assign V960569 = V562218 - 1. assign V548381 = V089677 - 1. assign V099715 = V869656 - 1. assign V944272 = V578914 + 1. assign V649719 = V158913 + 1. assign V359874 = V332508 - 1. assign V847805 = V548381 + 1. assign V789216 = V973718 - 1. assign V332508 = V395593. assign V463888 = V231514. assign V311464 = V205561 + 1. assign V382968 = V231514. assign V562218 = V673052 - 1. assign V431973 = V578914 - 1. assign V391387 = V410354 + 1. assign V410354 = V278321 - 1. assign V735834 = V548381. assign V082247 = V914495. assign V186928 = V082247 - 1. assign V159962 = V359874 + 1. assign V634978 = V757464 + 1. assign V377825 = V877001 + 1. assign V716816 = V877001 + 1. assign V594864 = V641843 + 1. assign V527734 = V231514. assign V354150 = V614052 + 1. assign V746961 = V289504 - 1. assign V231514 = V673052 - 1. assign V877001 = V089677 - 1. assign V319531 = V562218 - 1. assign V158913 = V548381. assign V010849 = V407102 + 1. assign V614052 = V578914 + 1. assign V420229 = V158913. assign V556978 = V420229 + 1. assign V455858 = V382968. assign V356996 = V735834. assign V391244 = V877001. assign V086372 = V356996 - 1. assign V608832 = V620311 - 1. assign V407102 = V449225 + 1. assign V836206 = V377825. assign V625421 = V010849. assign V289979 = V527734.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V869656 = V673052 + 1. assign V283031 = V713316. assign V914495 = V578914. assign V449225 = V973718. assign V278321 = V735834 + 1. assign V439537 = V608832 + 1. assign V863223 = V869656. assign V757464 = V716816. assign V089677 = V578914. assign V878796 = V735834 + 1. assign V022614 = V431973 - 1. assign V893536 = V601454. assign V289504 = V278321 + 1. assign V728086 = V634978 - 1. assign V395593 = V735834 + 1. assign V601454 = V909506. assign V205561 = V231514 + 1. assign V803425 = V973718 - 1. assign V620311 = V082247. assign V641843 = V382968. assign V834986 = V634978. assign V738892 = V354150 + 1. assign V883228 = 10. assign V909506 = V431973. assign V653752 = V893536 - 1. assign V713316 = V099715. assign V369302 = V086372 + 1. assign V296299 = V556978 + 1. assign V817830 = V716816 + 1. assign V563930 = V641843. assign V703423 = V158913 + 1. assign V825835 = V562218 - 1. assign V673052 = V973718 + 1. assign V152672 = V869656 - 1. assign V364496 = V973718 + 1. assign V736269 = V883228. assign V969832 = V641843 - 1. assign V276986 = V283031 - 1. assign V158184 = V625421 - 1. assign V578914 = V449225 + 1. assign V663780 = V877001 - 1. assign V454055 = V548381 - 1. assign V960569 = V562218 - 1. assign V548381 = V089677 - 1. assign V099715 = V869656 - 1. assign V944272 = V578914 + 1. assign V649719 = V158913 + 1. assign V359874 = V332508 - 1. assign V847805 = V548381 + 1. assign V789216 = V973718 - 1. assign V332508 = V395593. assign V463888 = V231514. assign V311464 = V205561 + 1. assign V382968 = V231514. assign V562218 = V673052 - 1. assign V431973 = V578914 - 1. assign V391387 = V410354 + 1. assign V410354 = V278321 - 1. assign V735834 = V548381. assign V082247 = V914495. assign V186928 = V082247 - 1. assign V159962 = V359874 + 1. assign V634978 = V757464 + 1. assign V377825 = V877001 + 1. assign V716816 = V877001 + 1. assign V594864 = V641843 + 1. assign V527734 = V231514. assign V354150 = V614052 + 1. assign V746961 = V289504 - 1. assign V231514 = V673052 - 1. assign V877001 = V089677 - 1. assign V319531 = V562218 - 1. assign V158913 = V548381. assign V010849 = V407102 + 1. assign V614052 = V578914 + 1. assign V420229 = V158913. assign V556978 = V420229 + 1. assign V455858 = V382968. assign V356996 = V735834. assign V391244 = V877001. assign V086372 = V356996 - 1. assign V608832 = V620311 - 1. assign V407102 = V449225 + 1. assign V836206 = V377825. assign V625421 = V010849. assign V289979 = V527734.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV883228 = 10;\n\nFrom these direct assignment(s), we have: \nV736269 = V883228 = 10;\nNo other variables can be derived from V736269;\nNo other variables can be derived from V883228;\n\nNow we have done all the calculations. Derived variables are:\nV883228 = 10;\nV736269 = 10;\n\nNow we have finished this problem. ANSWER:\nV883228, V736269\n", "role": "assistant" } ]

[ "V025365" ]

[ { "content": "<context>\nassign V240099 = V586529. assign V419954 = V520883. assign V933310 = V131878. assign V592905 = V123942 + 1. assign V576177 = V478813 + 1. assign V175757 = V701595 + 1. assign V586169 = V576177 - 1. assign V900481 = V559202 + 1. assign V463579 = V855752 + 1. assign V905480 = V559202. assign V090686 = V559202 - 1. assign V711170 = V360805 - 1. assign V744619 = V450525. assign V143945 = V297724 - 1. assign V701595 = V131878 - 1. assign V115111 = V633039 + 1. assign V611985 = V754145. assign V297724 = V241279. assign V803967 = V828866 + 1. assign V101498 = V104778 - 1. assign V116522 = V718484 - 1. assign V449297 = V095324 - 1. assign V367280 = V025365 - 1. assign V726274 = V559202 - 1. assign V095296 = V933310. assign V249969 = V470703. assign V919203 = V241279. assign V241659 = V419954 - 1. assign V754145 = V701595. assign V383320 = V463579 + 1. assign V126859 = V039631 + 1. assign V123942 = V520883. assign V142276 = V580256. assign V391472 = V419954 - 1. assign V759206 = V027993 + 1. assign V586529 = V293935 - 1. assign V816747 = V450525 - 1. assign V104778 = V559202 - 1. assign V095324 = V462818 - 1. assign V689342 = V027993 - 1. assign V055049 = V878447. assign V157562 = V701595. assign V580256 = V816747 + 1. assign V330596 = V293935 + 1. assign V878447 = V027993. assign V470703 = V055049 + 1. assign V209303 = V828866 + 1. assign V039631 = V611985 + 1. assign V804267 = V592905. assign V633039 = V103588. assign V147649 = V175757. assign V397483 = V701595. assign V293935 = V131878 - 1. assign V388559 = V419954 - 1. assign V478813 = V123942 - 1. assign V050287 = V462818 - 1. assign V066860 = V103588 - 1. assign V297635 = V689342 + 1. assign V855752 = V039631 + 1. assign V520883 = V759206 + 1. assign V027993 = V754145. assign V349117 = V633039 - 1. assign V441666 = V844480 - 1. assign V365259 = V828866 - 1. assign V903058 = V463579. assign V351735 = V462818. assign V025365 = 0. assign V828866 = V391472 - 1. assign V064630 = V240099 - 1. assign V844480 = V462818 - 1. assign V559202 = V520883. assign V450525 = V759206. assign V103588 = V293935. assign V360805 = V391472 + 1. assign V016689 = V360805 + 1. assign V871556 = V855752 - 1. assign V687593 = V463579 + 1. assign V094462 = V633039 - 1. assign V306475 = V559202 + 1. assign V602414 = V064630. assign V241279 = V754145 + 1. assign V385090 = V391472. assign V462818 = V559202 + 1. assign V981052 = V450525 + 1. assign V626177 = V559202 + 1. assign V718484 = V027993.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V240099 = V586529. assign V419954 = V520883. assign V933310 = V131878. assign V592905 = V123942 + 1. assign V576177 = V478813 + 1. assign V175757 = V701595 + 1. assign V586169 = V576177 - 1. assign V900481 = V559202 + 1. assign V463579 = V855752 + 1. assign V905480 = V559202. assign V090686 = V559202 - 1. assign V711170 = V360805 - 1. assign V744619 = V450525. assign V143945 = V297724 - 1. assign V701595 = V131878 - 1. assign V115111 = V633039 + 1. assign V611985 = V754145. assign V297724 = V241279. assign V803967 = V828866 + 1. assign V101498 = V104778 - 1. assign V116522 = V718484 - 1. assign V449297 = V095324 - 1. assign V367280 = V025365 - 1. assign V726274 = V559202 - 1. assign V095296 = V933310. assign V249969 = V470703. assign V919203 = V241279. assign V241659 = V419954 - 1. assign V754145 = V701595. assign V383320 = V463579 + 1. assign V126859 = V039631 + 1. assign V123942 = V520883. assign V142276 = V580256. assign V391472 = V419954 - 1. assign V759206 = V027993 + 1. assign V586529 = V293935 - 1. assign V816747 = V450525 - 1. assign V104778 = V559202 - 1. assign V095324 = V462818 - 1. assign V689342 = V027993 - 1. assign V055049 = V878447. assign V157562 = V701595. assign V580256 = V816747 + 1. assign V330596 = V293935 + 1. assign V878447 = V027993. assign V470703 = V055049 + 1. assign V209303 = V828866 + 1. assign V039631 = V611985 + 1. assign V804267 = V592905. assign V633039 = V103588. assign V147649 = V175757. assign V397483 = V701595. assign V293935 = V131878 - 1. assign V388559 = V419954 - 1. assign V478813 = V123942 - 1. assign V050287 = V462818 - 1. assign V066860 = V103588 - 1. assign V297635 = V689342 + 1. assign V855752 = V039631 + 1. assign V520883 = V759206 + 1. assign V027993 = V754145. assign V349117 = V633039 - 1. assign V441666 = V844480 - 1. assign V365259 = V828866 - 1. assign V903058 = V463579. assign V351735 = V462818. assign V025365 = 0. assign V828866 = V391472 - 1. assign V064630 = V240099 - 1. assign V844480 = V462818 - 1. assign V559202 = V520883. assign V450525 = V759206. assign V103588 = V293935. assign V360805 = V391472 + 1. assign V016689 = V360805 + 1. assign V871556 = V855752 - 1. assign V687593 = V463579 + 1. assign V094462 = V633039 - 1. assign V306475 = V559202 + 1. assign V602414 = V064630. assign V241279 = V754145 + 1. assign V385090 = V391472. assign V462818 = V559202 + 1. assign V981052 = V450525 + 1. assign V626177 = V559202 + 1. assign V718484 = V027993.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV025365 = 0;\n\nFrom these direct assignment(s), we have: \nV367280 = V025365 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V367280;\nNo other variables can be derived from V025365;\n\nNow we have done all the calculations. Derived variables are:\nV025365 = 0;\nV367280 = -1;\n\nNow we have finished this problem. ANSWER:\nV025365\n", "role": "assistant" } ]

[ "V050375" ]

[ { "content": "<context>\nassign V831514 = V047788 - 1. assign V692839 = V406508 - 1. assign V018429 = V044126 - 1. assign V599187 = V047788 - 1. assign V226600 = V768399. assign V254855 = V406508 - 1. assign V127264 = V603610 + 1. assign V745104 = V002377 + 1. assign V945548 = V739766 + 1. assign V069021 = V889955 - 1. assign V742760 = V042145 - 1. assign V801968 = V603610 + 1. assign V047788 = V117452 - 1. assign V896631 = V112342 + 1. assign V007921 = V831418 + 1. assign V522940 = V047788 + 1. assign V831418 = V406508 - 1. assign V147565 = V739766 - 1. assign V048420 = V801968. assign V189262 = V653570 + 1. assign V721235 = V522940 + 1. assign V773596 = V144849. assign V446589 = V831418 + 1. assign V054481 = V057080 + 1. assign V890207 = V853601. assign V272250 = V050375 - 1. assign V406508 = V889955. assign V751891 = V189262. assign V493313 = V406508 - 1. assign V025968 = V117452. assign V679784 = V721235 - 1. assign V328976 = V889955 - 1. assign V170318 = V057080. assign V499421 = V111052 + 1. assign V099133 = V406508 - 1. assign V316590 = V974952 + 1. assign V398342 = V054481 + 1. assign V638009 = V721235 + 1. assign V111052 = V117452 - 1. assign V653570 = V007921 + 1. assign V257799 = V745104. assign V889955 = V117452 - 1. assign V953019 = V057080. assign V049409 = V254855 - 1. assign V723516 = V025968 + 1. assign V603610 = V025968. assign V566289 = V338130. assign V601897 = V831418 - 1. assign V906024 = V801968 + 1. assign V125091 = V974952. assign V002377 = V721235 - 1. assign V044126 = V499421. assign V455581 = V144849 + 1. assign V304922 = V603610 - 1. assign V187230 = V601897 + 1. assign V144849 = V025968 - 1. assign V902101 = V446589 - 1. assign V750398 = V723516 - 1. assign V876367 = V698152 + 1. assign V276968 = V889955 - 1. assign V338130 = V144849. assign V147973 = V831418 + 1. assign V853601 = V112342. assign V057080 = V117452 - 1. assign V223267 = V751891 + 1. assign V683012 = V831418 - 1. assign V698152 = V316590 - 1. assign V112342 = V044126 - 1. assign V768399 = V448231 + 1. assign V739766 = V831418. assign V441948 = V603610 + 1. assign V050375 = 10. assign V466254 = V801968 - 1. assign V974952 = V599187 + 1. assign V209151 = V223267. assign V167005 = V144849 - 1. assign V432060 = V493313. assign V042145 = V047788 + 1. assign V354601 = V721235. assign V018632 = V499421 + 1. assign V629481 = V683012. assign V406757 = V906024 - 1. assign V043693 = V057080. assign V496904 = V493313. assign V448231 = V831418 - 1. assign V228188 = V187230 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V831514 = V047788 - 1. assign V692839 = V406508 - 1. assign V018429 = V044126 - 1. assign V599187 = V047788 - 1. assign V226600 = V768399. assign V254855 = V406508 - 1. assign V127264 = V603610 + 1. assign V745104 = V002377 + 1. assign V945548 = V739766 + 1. assign V069021 = V889955 - 1. assign V742760 = V042145 - 1. assign V801968 = V603610 + 1. assign V047788 = V117452 - 1. assign V896631 = V112342 + 1. assign V007921 = V831418 + 1. assign V522940 = V047788 + 1. assign V831418 = V406508 - 1. assign V147565 = V739766 - 1. assign V048420 = V801968. assign V189262 = V653570 + 1. assign V721235 = V522940 + 1. assign V773596 = V144849. assign V446589 = V831418 + 1. assign V054481 = V057080 + 1. assign V890207 = V853601. assign V272250 = V050375 - 1. assign V406508 = V889955. assign V751891 = V189262. assign V493313 = V406508 - 1. assign V025968 = V117452. assign V679784 = V721235 - 1. assign V328976 = V889955 - 1. assign V170318 = V057080. assign V499421 = V111052 + 1. assign V099133 = V406508 - 1. assign V316590 = V974952 + 1. assign V398342 = V054481 + 1. assign V638009 = V721235 + 1. assign V111052 = V117452 - 1. assign V653570 = V007921 + 1. assign V257799 = V745104. assign V889955 = V117452 - 1. assign V953019 = V057080. assign V049409 = V254855 - 1. assign V723516 = V025968 + 1. assign V603610 = V025968. assign V566289 = V338130. assign V601897 = V831418 - 1. assign V906024 = V801968 + 1. assign V125091 = V974952. assign V002377 = V721235 - 1. assign V044126 = V499421. assign V455581 = V144849 + 1. assign V304922 = V603610 - 1. assign V187230 = V601897 + 1. assign V144849 = V025968 - 1. assign V902101 = V446589 - 1. assign V750398 = V723516 - 1. assign V876367 = V698152 + 1. assign V276968 = V889955 - 1. assign V338130 = V144849. assign V147973 = V831418 + 1. assign V853601 = V112342. assign V057080 = V117452 - 1. assign V223267 = V751891 + 1. assign V683012 = V831418 - 1. assign V698152 = V316590 - 1. assign V112342 = V044126 - 1. assign V768399 = V448231 + 1. assign V739766 = V831418. assign V441948 = V603610 + 1. assign V050375 = 10. assign V466254 = V801968 - 1. assign V974952 = V599187 + 1. assign V209151 = V223267. assign V167005 = V144849 - 1. assign V432060 = V493313. assign V042145 = V047788 + 1. assign V354601 = V721235. assign V018632 = V499421 + 1. assign V629481 = V683012. assign V406757 = V906024 - 1. assign V043693 = V057080. assign V496904 = V493313. assign V448231 = V831418 - 1. assign V228188 = V187230 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV050375 = 10;\n\nFrom these direct assignment(s), we have: \nV272250 = V050375 - 1 = 10 - 1 =9;\nNo other variables can be derived from V272250;\nNo other variables can be derived from V050375;\n\nNow we have done all the calculations. Derived variables are:\nV050375 = 10;\nV272250 = 9;\n\nNow we have finished this problem. ANSWER:\nV050375\n", "role": "assistant" } ]

[ "V350658", "V932854" ]

[ { "content": "<context>\nassign V782014 = V425324. assign V922249 = V603316 + 1. assign V739382 = V261771 - 1. assign V313014 = V441032 - 1. assign V428270 = V895121. assign V736756 = V218233 + 1. assign V917728 = V789912 + 1. assign V261771 = V130103 - 1. assign V205728 = V915615 + 1. assign V873304 = V130103. assign V895121 = V588106 + 1. assign V926834 = V126313 - 1. assign V126313 = V739382. assign V547067 = V130103 - 1. assign V350658 = 9. assign V360814 = V441032. assign V441032 = V779645 + 1. assign V305229 = V179471 + 1. assign V819271 = V236490 - 1. assign V041640 = V130103 + 1. assign V932854 = V350658. assign V236490 = V873304. assign V998487 = V603316. assign V474764 = V960133 + 1. assign V538610 = V805989. assign V880629 = V059564 - 1. assign V893090 = V907044 + 1. assign V327611 = V739382 + 1. assign V855321 = V831576 - 1. assign V907044 = V130103 - 1. assign V960673 = V059564. assign V214756 = V130103 - 1. assign V481330 = V130103 + 1. assign V805532 = V463411. assign V775468 = V312637 - 1. assign V355451 = V312637 - 1. assign V097384 = V941198 + 1. assign V799837 = V926834 + 1. assign V191349 = V261771 - 1. assign V805989 = V915615 + 1. assign V059564 = V873304 + 1. assign V963714 = V250229 - 1. assign V941198 = V192656 - 1. assign V026085 = V828732. assign V677739 = V917728 - 1. assign V265820 = V799837 - 1. assign V678979 = V059564 - 1. assign V623348 = V214756. assign V831576 = V907044 + 1. assign V418529 = V126313 - 1. assign V179471 = V312637. assign V463411 = V907044 + 1. assign V305613 = V130103. assign V218233 = V739382 - 1. assign V263841 = V739382 + 1. assign V588106 = V799837. assign V425324 = V805989. assign V899304 = V305229 + 1. assign V910798 = V418529. assign V828732 = V192656 - 1. assign V503181 = V802886 + 1. assign V620975 = V736756 + 1. assign V893710 = V678979 - 1. assign V021001 = V059564. assign V530585 = V481330 - 1. assign V789912 = V907044 + 1. assign V111401 = V831576 - 1. assign V490978 = V192656 - 1. assign V660084 = V130103 + 1. assign V250229 = V547067 - 1. assign V603316 = V214756 + 1. assign V915615 = V130103 + 1. assign V809507 = V678979 + 1. assign V696662 = V588106 + 1. assign V139243 = V873304. assign V960133 = V418529. assign V041755 = V963714 + 1. assign V205030 = V192656. assign V192656 = V218233. assign V265052 = V205030. assign V779645 = V126313 - 1. assign V042109 = V503181. assign V239202 = V463411. assign V312637 = V139243 - 1. assign V802886 = V696662 - 1. assign V936594 = V899304 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V782014 = V425324. assign V922249 = V603316 + 1. assign V739382 = V261771 - 1. assign V313014 = V441032 - 1. assign V428270 = V895121. assign V736756 = V218233 + 1. assign V917728 = V789912 + 1. assign V261771 = V130103 - 1. assign V205728 = V915615 + 1. assign V873304 = V130103. assign V895121 = V588106 + 1. assign V926834 = V126313 - 1. assign V126313 = V739382. assign V547067 = V130103 - 1. assign V350658 = 9. assign V360814 = V441032. assign V441032 = V779645 + 1. assign V305229 = V179471 + 1. assign V819271 = V236490 - 1. assign V041640 = V130103 + 1. assign V932854 = V350658. assign V236490 = V873304. assign V998487 = V603316. assign V474764 = V960133 + 1. assign V538610 = V805989. assign V880629 = V059564 - 1. assign V893090 = V907044 + 1. assign V327611 = V739382 + 1. assign V855321 = V831576 - 1. assign V907044 = V130103 - 1. assign V960673 = V059564. assign V214756 = V130103 - 1. assign V481330 = V130103 + 1. assign V805532 = V463411. assign V775468 = V312637 - 1. assign V355451 = V312637 - 1. assign V097384 = V941198 + 1. assign V799837 = V926834 + 1. assign V191349 = V261771 - 1. assign V805989 = V915615 + 1. assign V059564 = V873304 + 1. assign V963714 = V250229 - 1. assign V941198 = V192656 - 1. assign V026085 = V828732. assign V677739 = V917728 - 1. assign V265820 = V799837 - 1. assign V678979 = V059564 - 1. assign V623348 = V214756. assign V831576 = V907044 + 1. assign V418529 = V126313 - 1. assign V179471 = V312637. assign V463411 = V907044 + 1. assign V305613 = V130103. assign V218233 = V739382 - 1. assign V263841 = V739382 + 1. assign V588106 = V799837. assign V425324 = V805989. assign V899304 = V305229 + 1. assign V910798 = V418529. assign V828732 = V192656 - 1. assign V503181 = V802886 + 1. assign V620975 = V736756 + 1. assign V893710 = V678979 - 1. assign V021001 = V059564. assign V530585 = V481330 - 1. assign V789912 = V907044 + 1. assign V111401 = V831576 - 1. assign V490978 = V192656 - 1. assign V660084 = V130103 + 1. assign V250229 = V547067 - 1. assign V603316 = V214756 + 1. assign V915615 = V130103 + 1. assign V809507 = V678979 + 1. assign V696662 = V588106 + 1. assign V139243 = V873304. assign V960133 = V418529. assign V041755 = V963714 + 1. assign V205030 = V192656. assign V192656 = V218233. assign V265052 = V205030. assign V779645 = V126313 - 1. assign V042109 = V503181. assign V239202 = V463411. assign V312637 = V139243 - 1. assign V802886 = V696662 - 1. assign V936594 = V899304 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV350658 = 9;\n\nFrom these direct assignment(s), we have: \nV932854 = V350658 = 9;\nNo other variables can be derived from V932854;\nNo other variables can be derived from V350658;\n\nNow we have done all the calculations. Derived variables are:\nV350658 = 9;\nV932854 = 9;\n\nNow we have finished this problem. ANSWER:\nV350658, V932854\n", "role": "assistant" } ]

[ "V152016", "V543525" ]

[ { "content": "<context>\nassign V161287 = V598184 - 1. assign V593875 = V340087. assign V909303 = V100081 + 1. assign V029437 = V337203 - 1. assign V638862 = V598184 - 1. assign V751213 = V183690. assign V337203 = V638862 - 1. assign V084084 = V966474 + 1. assign V792458 = V399122 - 1. assign V936446 = V334559. assign V843094 = V966474. assign V668501 = V100183 - 1. assign V661354 = V598184 - 1. assign V076581 = V446271 - 1. assign V008145 = V268414 + 1. assign V175951 = V100183 + 1. assign V998879 = V100081. assign V829569 = V640371. assign V100081 = V334559. assign V607514 = V640371 - 1. assign V966474 = V100183. assign V598184 = V183690 + 1. assign V373629 = V840853. assign V601013 = V046031 - 1. assign V075740 = V104675 + 1. assign V579208 = V334559 - 1. assign V282014 = V340087. assign V792711 = V638862. assign V576351 = V909303. assign V307492 = V981376 - 1. assign V970545 = V981376 - 1. assign V124812 = V857246. assign V897785 = V674852 + 1. assign V491651 = V579208 + 1. assign V002423 = V389519 + 1. assign V609768 = V981376 + 1. assign V183690 = V340087 + 1. assign V618873 = V638436. assign V543525 = V152016. assign V152016 = 5. assign V862905 = V783371 - 1. assign V013652 = V966474 + 1. assign V120929 = V413878 - 1. assign V100183 = V334559 + 1. assign V649893 = V100183. assign V399122 = V100081. assign V441385 = V002423. assign V055639 = V161633. assign V920552 = V142406 + 1. assign V995398 = V579208 - 1. assign V161633 = V100183 - 1. assign V672670 = V183690 + 1. assign V036538 = V334559 - 1. assign V981376 = V638436. assign V840853 = V046031 - 1. assign V640371 = V638436 + 1. assign V914332 = V862905 - 1. assign V041778 = V792458 + 1. assign V674852 = V598184 + 1. assign V550299 = V909303. assign V676434 = V161633 - 1. assign V397736 = V399122. assign V413878 = V862905 - 1. assign V758572 = V827197 - 1. assign V083270 = V676434. assign V827197 = V175951. assign V857246 = V593875 + 1. assign V935010 = V100081. assign V389519 = V282014. assign V055150 = V840853 + 1. assign V104675 = V008145 - 1. assign V330224 = V668501. assign V235669 = V862905 + 1. assign V581035 = V441385 - 1. assign V680774 = V268414 + 1. assign V268414 = V840853 - 1. assign V334559 = V340087. assign V340087 = V046031. assign V609709 = V175951. assign V599667 = V100081 + 1. assign V015849 = V640371 + 1. assign V844579 = V638862. assign V638436 = V100183. assign V446271 = V593875 - 1. assign V142406 = V083270 - 1. assign V783371 = V282014 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V161287 = V598184 - 1. assign V593875 = V340087. assign V909303 = V100081 + 1. assign V029437 = V337203 - 1. assign V638862 = V598184 - 1. assign V751213 = V183690. assign V337203 = V638862 - 1. assign V084084 = V966474 + 1. assign V792458 = V399122 - 1. assign V936446 = V334559. assign V843094 = V966474. assign V668501 = V100183 - 1. assign V661354 = V598184 - 1. assign V076581 = V446271 - 1. assign V008145 = V268414 + 1. assign V175951 = V100183 + 1. assign V998879 = V100081. assign V829569 = V640371. assign V100081 = V334559. assign V607514 = V640371 - 1. assign V966474 = V100183. assign V598184 = V183690 + 1. assign V373629 = V840853. assign V601013 = V046031 - 1. assign V075740 = V104675 + 1. assign V579208 = V334559 - 1. assign V282014 = V340087. assign V792711 = V638862. assign V576351 = V909303. assign V307492 = V981376 - 1. assign V970545 = V981376 - 1. assign V124812 = V857246. assign V897785 = V674852 + 1. assign V491651 = V579208 + 1. assign V002423 = V389519 + 1. assign V609768 = V981376 + 1. assign V183690 = V340087 + 1. assign V618873 = V638436. assign V543525 = V152016. assign V152016 = 5. assign V862905 = V783371 - 1. assign V013652 = V966474 + 1. assign V120929 = V413878 - 1. assign V100183 = V334559 + 1. assign V649893 = V100183. assign V399122 = V100081. assign V441385 = V002423. assign V055639 = V161633. assign V920552 = V142406 + 1. assign V995398 = V579208 - 1. assign V161633 = V100183 - 1. assign V672670 = V183690 + 1. assign V036538 = V334559 - 1. assign V981376 = V638436. assign V840853 = V046031 - 1. assign V640371 = V638436 + 1. assign V914332 = V862905 - 1. assign V041778 = V792458 + 1. assign V674852 = V598184 + 1. assign V550299 = V909303. assign V676434 = V161633 - 1. assign V397736 = V399122. assign V413878 = V862905 - 1. assign V758572 = V827197 - 1. assign V083270 = V676434. assign V827197 = V175951. assign V857246 = V593875 + 1. assign V935010 = V100081. assign V389519 = V282014. assign V055150 = V840853 + 1. assign V104675 = V008145 - 1. assign V330224 = V668501. assign V235669 = V862905 + 1. assign V581035 = V441385 - 1. assign V680774 = V268414 + 1. assign V268414 = V840853 - 1. assign V334559 = V340087. assign V340087 = V046031. assign V609709 = V175951. assign V599667 = V100081 + 1. assign V015849 = V640371 + 1. assign V844579 = V638862. assign V638436 = V100183. assign V446271 = V593875 - 1. assign V142406 = V083270 - 1. assign V783371 = V282014 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV152016 = 5;\n\nFrom these direct assignment(s), we have: \nV543525 = V152016 = 5;\nNo other variables can be derived from V543525;\nNo other variables can be derived from V152016;\n\nNow we have done all the calculations. Derived variables are:\nV152016 = 5;\nV543525 = 5;\n\nNow we have finished this problem. ANSWER:\nV152016, V543525\n", "role": "assistant" } ]

[ "V250420", "V040515" ]

[ { "content": "<context>\nassign V362154 = V835732 - 1. assign V233433 = V108069. assign V774020 = V181106 + 1. assign V771196 = V246838 + 1. assign V671690 = V842555 - 1. assign V905772 = V671690 - 1. assign V683366 = V197975. assign V575756 = V835732. assign V435478 = V283298 + 1. assign V279471 = V879571 - 1. assign V861892 = V565136 + 1. assign V835732 = V856452 - 1. assign V989164 = V116350. assign V659216 = V835732. assign V965848 = V248529 + 1. assign V042292 = V472985 + 1. assign V385098 = V116350. assign V519709 = V825293 + 1. assign V801061 = V850953. assign V428112 = V233433. assign V626715 = V565136. assign V842555 = V781701. assign V781414 = V197975 + 1. assign V825293 = V302356 + 1. assign V460636 = V284558 - 1. assign V665711 = V246838 - 1. assign V284558 = V681196. assign V589317 = V674275 + 1. assign V274248 = V385098 + 1. assign V722694 = V116350 + 1. assign V248529 = V283298. assign V779347 = V835732 + 1. assign V150093 = V233433 - 1. assign V182140 = V248529 + 1. assign V283298 = V746260 - 1. assign V168712 = V156740 + 1. assign V760957 = V472985 - 1. assign V711337 = V385098. assign V502128 = V080635 - 1. assign V250420 = 7. assign V850953 = V659216 - 1. assign V873830 = V248529 + 1. assign V932415 = V233433. assign V557842 = V108069. assign V565136 = V873830 - 1. assign V315748 = V168712 - 1. assign V930602 = V182140. assign V156740 = V248529 + 1. assign V094576 = V233433 + 1. assign V108069 = V760957 - 1. assign V396901 = V626715 + 1. assign V873084 = V150093 + 1. assign V669631 = V156740. assign V365792 = V460636. assign V879571 = V156740. assign V871776 = V575073 + 1. assign V120520 = V681196. assign V523344 = V233433 + 1. assign V777056 = V879571 + 1. assign V667521 = V681196 + 1. assign V172905 = V760957. assign V385260 = V861892 + 1. assign V181106 = V896712 - 1. assign V766317 = V302356 + 1. assign V197975 = V896712. assign V674275 = V575756. assign V246838 = V283298 + 1. assign V681196 = V472985 + 1. assign V906589 = V760957. assign V746260 = V108069 + 1. assign V457608 = V653338. assign V653338 = V428112 + 1. assign V302356 = V681196 + 1. assign V881727 = V197975. assign V856452 = V879571 - 1. assign V188366 = V683366. assign V264429 = V233433 + 1. assign V080635 = V248529 - 1. assign V040515 = V250420. assign V116350 = V905772 + 1. assign V575073 = V879571 + 1. assign V266426 = V264429 + 1. assign V781701 = V681196 - 1. assign V600578 = V197975. assign V896712 = V575073 - 1. assign V518992 = V284558 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V362154 = V835732 - 1. assign V233433 = V108069. assign V774020 = V181106 + 1. assign V771196 = V246838 + 1. assign V671690 = V842555 - 1. assign V905772 = V671690 - 1. assign V683366 = V197975. assign V575756 = V835732. assign V435478 = V283298 + 1. assign V279471 = V879571 - 1. assign V861892 = V565136 + 1. assign V835732 = V856452 - 1. assign V989164 = V116350. assign V659216 = V835732. assign V965848 = V248529 + 1. assign V042292 = V472985 + 1. assign V385098 = V116350. assign V519709 = V825293 + 1. assign V801061 = V850953. assign V428112 = V233433. assign V626715 = V565136. assign V842555 = V781701. assign V781414 = V197975 + 1. assign V825293 = V302356 + 1. assign V460636 = V284558 - 1. assign V665711 = V246838 - 1. assign V284558 = V681196. assign V589317 = V674275 + 1. assign V274248 = V385098 + 1. assign V722694 = V116350 + 1. assign V248529 = V283298. assign V779347 = V835732 + 1. assign V150093 = V233433 - 1. assign V182140 = V248529 + 1. assign V283298 = V746260 - 1. assign V168712 = V156740 + 1. assign V760957 = V472985 - 1. assign V711337 = V385098. assign V502128 = V080635 - 1. assign V250420 = 7. assign V850953 = V659216 - 1. assign V873830 = V248529 + 1. assign V932415 = V233433. assign V557842 = V108069. assign V565136 = V873830 - 1. assign V315748 = V168712 - 1. assign V930602 = V182140. assign V156740 = V248529 + 1. assign V094576 = V233433 + 1. assign V108069 = V760957 - 1. assign V396901 = V626715 + 1. assign V873084 = V150093 + 1. assign V669631 = V156740. assign V365792 = V460636. assign V879571 = V156740. assign V871776 = V575073 + 1. assign V120520 = V681196. assign V523344 = V233433 + 1. assign V777056 = V879571 + 1. assign V667521 = V681196 + 1. assign V172905 = V760957. assign V385260 = V861892 + 1. assign V181106 = V896712 - 1. assign V766317 = V302356 + 1. assign V197975 = V896712. assign V674275 = V575756. assign V246838 = V283298 + 1. assign V681196 = V472985 + 1. assign V906589 = V760957. assign V746260 = V108069 + 1. assign V457608 = V653338. assign V653338 = V428112 + 1. assign V302356 = V681196 + 1. assign V881727 = V197975. assign V856452 = V879571 - 1. assign V188366 = V683366. assign V264429 = V233433 + 1. assign V080635 = V248529 - 1. assign V040515 = V250420. assign V116350 = V905772 + 1. assign V575073 = V879571 + 1. assign V266426 = V264429 + 1. assign V781701 = V681196 - 1. assign V600578 = V197975. assign V896712 = V575073 - 1. assign V518992 = V284558 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV250420 = 7;\n\nFrom these direct assignment(s), we have: \nV040515 = V250420 = 7;\nNo other variables can be derived from V040515;\nNo other variables can be derived from V250420;\n\nNow we have done all the calculations. Derived variables are:\nV250420 = 7;\nV040515 = 7;\n\nNow we have finished this problem. ANSWER:\nV250420, V040515\n", "role": "assistant" } ]

[ "V298918" ]

[ { "content": "<context>\nassign V636535 = V573986 + 1. assign V810391 = V157540. assign V609698 = V573986 - 1. assign V053028 = V263417 + 1. assign V695852 = V539404 - 1. assign V343277 = V971288 - 1. assign V068195 = V157540 - 1. assign V008205 = V853088 + 1. assign V314397 = V810391 - 1. assign V864491 = V217478 - 1. assign V584676 = V925790 + 1. assign V108646 = V217478 - 1. assign V008112 = V157540 + 1. assign V767335 = V636535 + 1. assign V872848 = V859012 - 1. assign V696373 = V044126 + 1. assign V452046 = V184840 - 1. assign V167218 = V157540 - 1. assign V221885 = V815211. assign V539404 = V810391 + 1. assign V884616 = V636535 + 1. assign V891188 = V834219 - 1. assign V611676 = V068195 + 1. assign V925790 = V573986 + 1. assign V007574 = V804708 - 1. assign V062137 = V834219 - 1. assign V573986 = V343277 + 1. assign V217478 = V834219 + 1. assign V059952 = V782945. assign V123753 = V217478. assign V512489 = V859012. assign V856300 = 10. assign V267329 = V008112 - 1. assign V946556 = V476898 + 1. assign V341260 = V711525 + 1. assign V834219 = V655281 - 1. assign V923002 = V062164 - 1. assign V362639 = V936229 - 1. assign V936229 = V093458 - 1. assign V334118 = V815211 - 1. assign V712245 = V631480 + 1. assign V322202 = V462520. assign V631480 = V512489 - 1. assign V903981 = V334118. assign V304280 = V834219 + 1. assign V804708 = V655281 - 1. assign V157540 = V859012 - 1. assign V269988 = V539404 - 1. assign V815211 = V804708 - 1. assign V501879 = V722006 + 1. assign V184840 = V157540. assign V967157 = V068195. assign V722006 = V343277 - 1. assign V093458 = V221885 - 1. assign V711525 = V512489 - 1. assign V246506 = V314397. assign V476898 = V007574 - 1. assign V703202 = V093458 - 1. assign V485918 = V810391 + 1. assign V167288 = V304789 - 1. assign V657131 = V220223 - 1. assign V425439 = V967157. assign V112635 = V967157 + 1. assign V664488 = V068195. assign V298918 = V856300 - 1. assign V782945 = V512489. assign V447115 = V703202. assign V124133 = V093458 + 1. assign V263417 = V512489. assign V598105 = V712245 - 1. assign V220223 = V068195. assign V209496 = V539404. assign V853088 = V044126. assign V199611 = V217478 - 1. assign V062164 = V334118. assign V462520 = V434519. assign V971288 = V157540 + 1. assign V434519 = V314397. assign V859012 = V834219 - 1. assign V836647 = V123753 + 1. assign V773626 = V573986 + 1. assign V304789 = V834219 - 1. assign V968375 = V093458. assign V044126 = V304280 + 1. assign V957956 = V476898 - 1. assign V132325 = V971288.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V636535 = V573986 + 1. assign V810391 = V157540. assign V609698 = V573986 - 1. assign V053028 = V263417 + 1. assign V695852 = V539404 - 1. assign V343277 = V971288 - 1. assign V068195 = V157540 - 1. assign V008205 = V853088 + 1. assign V314397 = V810391 - 1. assign V864491 = V217478 - 1. assign V584676 = V925790 + 1. assign V108646 = V217478 - 1. assign V008112 = V157540 + 1. assign V767335 = V636535 + 1. assign V872848 = V859012 - 1. assign V696373 = V044126 + 1. assign V452046 = V184840 - 1. assign V167218 = V157540 - 1. assign V221885 = V815211. assign V539404 = V810391 + 1. assign V884616 = V636535 + 1. assign V891188 = V834219 - 1. assign V611676 = V068195 + 1. assign V925790 = V573986 + 1. assign V007574 = V804708 - 1. assign V062137 = V834219 - 1. assign V573986 = V343277 + 1. assign V217478 = V834219 + 1. assign V059952 = V782945. assign V123753 = V217478. assign V512489 = V859012. assign V856300 = 10. assign V267329 = V008112 - 1. assign V946556 = V476898 + 1. assign V341260 = V711525 + 1. assign V834219 = V655281 - 1. assign V923002 = V062164 - 1. assign V362639 = V936229 - 1. assign V936229 = V093458 - 1. assign V334118 = V815211 - 1. assign V712245 = V631480 + 1. assign V322202 = V462520. assign V631480 = V512489 - 1. assign V903981 = V334118. assign V304280 = V834219 + 1. assign V804708 = V655281 - 1. assign V157540 = V859012 - 1. assign V269988 = V539404 - 1. assign V815211 = V804708 - 1. assign V501879 = V722006 + 1. assign V184840 = V157540. assign V967157 = V068195. assign V722006 = V343277 - 1. assign V093458 = V221885 - 1. assign V711525 = V512489 - 1. assign V246506 = V314397. assign V476898 = V007574 - 1. assign V703202 = V093458 - 1. assign V485918 = V810391 + 1. assign V167288 = V304789 - 1. assign V657131 = V220223 - 1. assign V425439 = V967157. assign V112635 = V967157 + 1. assign V664488 = V068195. assign V298918 = V856300 - 1. assign V782945 = V512489. assign V447115 = V703202. assign V124133 = V093458 + 1. assign V263417 = V512489. assign V598105 = V712245 - 1. assign V220223 = V068195. assign V209496 = V539404. assign V853088 = V044126. assign V199611 = V217478 - 1. assign V062164 = V334118. assign V462520 = V434519. assign V971288 = V157540 + 1. assign V434519 = V314397. assign V859012 = V834219 - 1. assign V836647 = V123753 + 1. assign V773626 = V573986 + 1. assign V304789 = V834219 - 1. assign V968375 = V093458. assign V044126 = V304280 + 1. assign V957956 = V476898 - 1. assign V132325 = V971288.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV856300 = 10;\n\nFrom these direct assignment(s), we have: \nV298918 = V856300 - 1 = 10 - 1 =9;\nNo other variables can be derived from V298918;\nNo other variables can be derived from V856300;\n\nNow we have done all the calculations. Derived variables are:\nV856300 = 10;\nV298918 = 9;\n\nNow we have finished this problem. ANSWER:\nV298918\n", "role": "assistant" } ]

[ "V483470" ]

[ { "content": "<context>\nassign V945092 = V708315 - 1. assign V261842 = V540083. assign V743426 = V818789. assign V393735 = V519595 - 1. assign V862374 = V601941 - 1. assign V035466 = V604317. assign V391488 = V376072 - 1. assign V068176 = V270366 - 1. assign V123418 = V540083 + 1. assign V191401 = V918704. assign V708315 = V540083. assign V203657 = V944596 + 1. assign V944596 = V540083 + 1. assign V215283 = V708315. assign V545964 = V236877 - 1. assign V786779 = V589917 - 1. assign V500084 = V540083 - 1. assign V051290 = V068799. assign V270366 = V054824 - 1. assign V772351 = V708315 - 1. assign V861526 = V519595 + 1. assign V955901 = V376072 - 1. assign V571750 = V604317 + 1. assign V267947 = V945092 + 1. assign V940717 = V356121 + 1. assign V236877 = V970607 - 1. assign V047265 = V519595 + 1. assign V589917 = V063393. assign V494671 = V772351 - 1. assign V600097 = V906666. assign V906666 = V856482 - 1. assign V376072 = V356121. assign V802738 = V774871. assign V536608 = V236877 - 1. assign V427134 = V283536 - 1. assign V403566 = V519595 + 1. assign V832102 = V187860 - 1. assign V161215 = V536608 - 1. assign V068799 = V000783. assign V049104 = V356121 + 1. assign V283536 = V940717 + 1. assign V187860 = V236877. assign V453502 = V786779 - 1. assign V918704 = V261842. assign V936634 = V601941. assign V000783 = V063393 - 1. assign V764387 = V918704 + 1. assign V996204 = V601941 - 1. assign V063393 = V354618 - 1. assign V746821 = V918704. assign V184097 = V540083 - 1. assign V356121 = V918704. assign V601941 = V500084. assign V941399 = V764387 + 1. assign V610182 = V267947 - 1. assign V354618 = V604317 + 1. assign V893035 = V906666. assign V081205 = V847193. assign V547033 = V862374 + 1. assign V097570 = V391488 - 1. assign V847193 = V063393 + 1. assign V672870 = V786779 - 1. assign V970607 = V047265 + 1. assign V542566 = V746821 + 1. assign V286026 = V274847 + 1. assign V675764 = V270366 + 1. assign V275975 = V772351 - 1. assign V818789 = V540083 + 1. assign V743550 = V354618. assign V215670 = V483470 - 1. assign V891673 = V356121. assign V274847 = V519595. assign V273034 = V774871 + 1. assign V444700 = V746821 + 1. assign V483470 = 6. assign V965285 = V453502. assign V054824 = V772351 + 1. assign V885782 = V996204. assign V613345 = V893035 + 1. assign V604317 = V261842 - 1. assign V774871 = V906666 + 1. assign V540083 = V519595 - 1. assign V906052 = V571750 - 1. assign V638563 = V391488 - 1. assign V856482 = V996204 + 1. assign V599584 = V918704.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V945092 = V708315 - 1. assign V261842 = V540083. assign V743426 = V818789. assign V393735 = V519595 - 1. assign V862374 = V601941 - 1. assign V035466 = V604317. assign V391488 = V376072 - 1. assign V068176 = V270366 - 1. assign V123418 = V540083 + 1. assign V191401 = V918704. assign V708315 = V540083. assign V203657 = V944596 + 1. assign V944596 = V540083 + 1. assign V215283 = V708315. assign V545964 = V236877 - 1. assign V786779 = V589917 - 1. assign V500084 = V540083 - 1. assign V051290 = V068799. assign V270366 = V054824 - 1. assign V772351 = V708315 - 1. assign V861526 = V519595 + 1. assign V955901 = V376072 - 1. assign V571750 = V604317 + 1. assign V267947 = V945092 + 1. assign V940717 = V356121 + 1. assign V236877 = V970607 - 1. assign V047265 = V519595 + 1. assign V589917 = V063393. assign V494671 = V772351 - 1. assign V600097 = V906666. assign V906666 = V856482 - 1. assign V376072 = V356121. assign V802738 = V774871. assign V536608 = V236877 - 1. assign V427134 = V283536 - 1. assign V403566 = V519595 + 1. assign V832102 = V187860 - 1. assign V161215 = V536608 - 1. assign V068799 = V000783. assign V049104 = V356121 + 1. assign V283536 = V940717 + 1. assign V187860 = V236877. assign V453502 = V786779 - 1. assign V918704 = V261842. assign V936634 = V601941. assign V000783 = V063393 - 1. assign V764387 = V918704 + 1. assign V996204 = V601941 - 1. assign V063393 = V354618 - 1. assign V746821 = V918704. assign V184097 = V540083 - 1. assign V356121 = V918704. assign V601941 = V500084. assign V941399 = V764387 + 1. assign V610182 = V267947 - 1. assign V354618 = V604317 + 1. assign V893035 = V906666. assign V081205 = V847193. assign V547033 = V862374 + 1. assign V097570 = V391488 - 1. assign V847193 = V063393 + 1. assign V672870 = V786779 - 1. assign V970607 = V047265 + 1. assign V542566 = V746821 + 1. assign V286026 = V274847 + 1. assign V675764 = V270366 + 1. assign V275975 = V772351 - 1. assign V818789 = V540083 + 1. assign V743550 = V354618. assign V215670 = V483470 - 1. assign V891673 = V356121. assign V274847 = V519595. assign V273034 = V774871 + 1. assign V444700 = V746821 + 1. assign V483470 = 6. assign V965285 = V453502. assign V054824 = V772351 + 1. assign V885782 = V996204. assign V613345 = V893035 + 1. assign V604317 = V261842 - 1. assign V774871 = V906666 + 1. assign V540083 = V519595 - 1. assign V906052 = V571750 - 1. assign V638563 = V391488 - 1. assign V856482 = V996204 + 1. assign V599584 = V918704.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV483470 = 6;\n\nFrom these direct assignment(s), we have: \nV215670 = V483470 - 1 = 6 - 1 =5;\nNo other variables can be derived from V215670;\nNo other variables can be derived from V483470;\n\nNow we have done all the calculations. Derived variables are:\nV483470 = 6;\nV215670 = 5;\n\nNow we have finished this problem. ANSWER:\nV483470\n", "role": "assistant" } ]

[ "V300270" ]

[ { "content": "<context>\nassign V951906 = V673483 + 1. assign V777241 = V003564 - 1. assign V120400 = V965848 - 1. assign V777804 = V864842 - 1. assign V765692 = V130719. assign V586830 = V951906. assign V186562 = V272199 + 1. assign V708564 = V120672 + 1. assign V638969 = V865909. assign V392393 = V003564. assign V577418 = V499208. assign V257636 = V904986 + 1. assign V473798 = V865909 - 1. assign V458415 = V171777 - 1. assign V499208 = V130719 + 1. assign V393609 = V937699 + 1. assign V118953 = V392393 - 1. assign V168166 = V777804 - 1. assign V796322 = V777804. assign V769266 = V021966. assign V561042 = V690505 - 1. assign V987409 = V282572. assign V904986 = V920339 + 1. assign V852218 = V237256. assign V789229 = V120672. assign V130719 = V839725 - 1. assign V362521 = V030804 + 1. assign V171777 = V562368 - 1. assign V441602 = V433058 + 1. assign V994345 = V852218 - 1. assign V323222 = V021966 - 1. assign V379913 = V690505 - 1. assign V565176 = V904986 + 1. assign V937699 = V124869 + 1. assign V299099 = V963229. assign V714685 = V152981 + 1. assign V865909 = V374877 + 1. assign V673483 = V920339 - 1. assign V717407 = V017554. assign V120672 = V690505 - 1. assign V839725 = V237256. assign V395906 = V841705 + 1. assign V965848 = V920339. assign V393567 = V300270 + 1. assign V311646 = V708564. assign V292755 = V708564. assign V562368 = V379913 + 1. assign V186721 = V789229 + 1. assign V282572 = V937699 + 1. assign V300270 = 4. assign V017554 = V374877 - 1. assign V919616 = V374877 + 1. assign V689393 = V904986 + 1. assign V612512 = V393609 + 1. assign V963229 = V643563 + 1. assign V920339 = V362521 + 1. assign V506129 = V689393 + 1. assign V290902 = V686172 + 1. assign V374877 = V030804 + 1. assign V457008 = V130719. assign V505864 = V362521. assign V392449 = V021966 + 1. assign V787020 = V120400 + 1. assign V241800 = V120400 + 1. assign V858181 = V323222. assign V021966 = V433058 + 1. assign V456404 = V186562. assign V139866 = V441602. assign V124869 = V789229 + 1. assign V367772 = V586830 + 1. assign V690505 = V362521 + 1. assign V152981 = V505864. assign V394030 = V003564 - 1. assign V980583 = V789229 - 1. assign V686172 = V030804 + 1. assign V272199 = V168166 + 1. assign V286536 = V689393 + 1. assign V237256 = V030804. assign V426054 = V124869 - 1. assign V433058 = V374877. assign V003564 = V120400 - 1. assign V780643 = V286536 - 1. assign V105028 = V690505 - 1. assign V841705 = V030804 + 1. assign V864842 = V841705. assign V643563 = V030804 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V951906 = V673483 + 1. assign V777241 = V003564 - 1. assign V120400 = V965848 - 1. assign V777804 = V864842 - 1. assign V765692 = V130719. assign V586830 = V951906. assign V186562 = V272199 + 1. assign V708564 = V120672 + 1. assign V638969 = V865909. assign V392393 = V003564. assign V577418 = V499208. assign V257636 = V904986 + 1. assign V473798 = V865909 - 1. assign V458415 = V171777 - 1. assign V499208 = V130719 + 1. assign V393609 = V937699 + 1. assign V118953 = V392393 - 1. assign V168166 = V777804 - 1. assign V796322 = V777804. assign V769266 = V021966. assign V561042 = V690505 - 1. assign V987409 = V282572. assign V904986 = V920339 + 1. assign V852218 = V237256. assign V789229 = V120672. assign V130719 = V839725 - 1. assign V362521 = V030804 + 1. assign V171777 = V562368 - 1. assign V441602 = V433058 + 1. assign V994345 = V852218 - 1. assign V323222 = V021966 - 1. assign V379913 = V690505 - 1. assign V565176 = V904986 + 1. assign V937699 = V124869 + 1. assign V299099 = V963229. assign V714685 = V152981 + 1. assign V865909 = V374877 + 1. assign V673483 = V920339 - 1. assign V717407 = V017554. assign V120672 = V690505 - 1. assign V839725 = V237256. assign V395906 = V841705 + 1. assign V965848 = V920339. assign V393567 = V300270 + 1. assign V311646 = V708564. assign V292755 = V708564. assign V562368 = V379913 + 1. assign V186721 = V789229 + 1. assign V282572 = V937699 + 1. assign V300270 = 4. assign V017554 = V374877 - 1. assign V919616 = V374877 + 1. assign V689393 = V904986 + 1. assign V612512 = V393609 + 1. assign V963229 = V643563 + 1. assign V920339 = V362521 + 1. assign V506129 = V689393 + 1. assign V290902 = V686172 + 1. assign V374877 = V030804 + 1. assign V457008 = V130719. assign V505864 = V362521. assign V392449 = V021966 + 1. assign V787020 = V120400 + 1. assign V241800 = V120400 + 1. assign V858181 = V323222. assign V021966 = V433058 + 1. assign V456404 = V186562. assign V139866 = V441602. assign V124869 = V789229 + 1. assign V367772 = V586830 + 1. assign V690505 = V362521 + 1. assign V152981 = V505864. assign V394030 = V003564 - 1. assign V980583 = V789229 - 1. assign V686172 = V030804 + 1. assign V272199 = V168166 + 1. assign V286536 = V689393 + 1. assign V237256 = V030804. assign V426054 = V124869 - 1. assign V433058 = V374877. assign V003564 = V120400 - 1. assign V780643 = V286536 - 1. assign V105028 = V690505 - 1. assign V841705 = V030804 + 1. assign V864842 = V841705. assign V643563 = V030804 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV300270 = 4;\n\nFrom these direct assignment(s), we have: \nV393567 = V300270 + 1 = 4 + 1 =5;\nNo other variables can be derived from V393567;\nNo other variables can be derived from V300270;\n\nNow we have done all the calculations. Derived variables are:\nV300270 = 4;\nV393567 = 5;\n\nNow we have finished this problem. ANSWER:\nV300270\n", "role": "assistant" } ]

[ "V601279", "V255196" ]

[ { "content": "<context>\nassign V556220 = V380145 - 1. assign V461480 = V245615. assign V601279 = 9. assign V061823 = V031823 - 1. assign V244841 = V649431 + 1. assign V164476 = V180061 + 1. assign V586922 = V274621 + 1. assign V927425 = V196910. assign V715028 = V187402 - 1. assign V363837 = V156201 + 1. assign V649431 = V887582. assign V064363 = V046043. assign V718261 = V889286 + 1. assign V008148 = V245615. assign V974555 = V211970 + 1. assign V384333 = V461480 + 1. assign V196910 = V156201 - 1. assign V553374 = V062204 + 1. assign V257195 = V718261 + 1. assign V081481 = V046043 + 1. assign V072362 = V523051. assign V539256 = V556220 + 1. assign V551640 = V802891 + 1. assign V216893 = V046043 + 1. assign V022914 = V140800 + 1. assign V988290 = V693569 - 1. assign V141769 = V245615 + 1. assign V245615 = V206251 - 1. assign V105819 = V140800 + 1. assign V274621 = V140800. assign V207303 = V626737. assign V062204 = V887582 + 1. assign V848028 = V950633 + 1. assign V889286 = V380145 - 1. assign V046043 = V551640. assign V417478 = V693569 + 1. assign V564250 = V285246 - 1. assign V947203 = V178654 - 1. assign V140746 = V187402 + 1. assign V180061 = V551640 - 1. assign V206251 = V802891 - 1. assign V694105 = V384333 - 1. assign V626737 = V180061 + 1. assign V523051 = V651514. assign V140800 = V156201 + 1. assign V037978 = V486572 + 1. assign V691554 = V211970 + 1. assign V380145 = V156201. assign V725351 = V384333 + 1. assign V457196 = V382165 + 1. assign V178654 = V539256 + 1. assign V661427 = V802564. assign V285246 = V180061. assign V255196 = V601279. assign V950633 = V022914 + 1. assign V486572 = V715028. assign V525556 = V363837 + 1. assign V639689 = V461480. assign V721868 = V525556. assign V205771 = V626737 - 1. assign V708433 = V693569 - 1. assign V974374 = V887582 - 1. assign V651514 = V140800 - 1. assign V084313 = V196910 - 1. assign V571075 = V171838. assign V728774 = V252632. assign V362752 = V725351 + 1. assign V031823 = V211970. assign V382165 = V974555. assign V171838 = V064363. assign V187402 = V380145. assign V262077 = V216893 + 1. assign V718157 = V062204 - 1. assign V252632 = V140800 - 1. assign V693569 = V974555 - 1. assign V211970 = V156201. assign V448189 = V384333 - 1. assign V850590 = V187402 + 1. assign V218453 = V461480 + 1. assign V802564 = V187402 + 1. assign V802891 = V156201 - 1. assign V887582 = V718261 + 1. assign V431807 = V553374 + 1. assign V393814 = V257195 - 1. assign V900936 = V037978. assign V066706 = V694105 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V556220 = V380145 - 1. assign V461480 = V245615. assign V601279 = 9. assign V061823 = V031823 - 1. assign V244841 = V649431 + 1. assign V164476 = V180061 + 1. assign V586922 = V274621 + 1. assign V927425 = V196910. assign V715028 = V187402 - 1. assign V363837 = V156201 + 1. assign V649431 = V887582. assign V064363 = V046043. assign V718261 = V889286 + 1. assign V008148 = V245615. assign V974555 = V211970 + 1. assign V384333 = V461480 + 1. assign V196910 = V156201 - 1. assign V553374 = V062204 + 1. assign V257195 = V718261 + 1. assign V081481 = V046043 + 1. assign V072362 = V523051. assign V539256 = V556220 + 1. assign V551640 = V802891 + 1. assign V216893 = V046043 + 1. assign V022914 = V140800 + 1. assign V988290 = V693569 - 1. assign V141769 = V245615 + 1. assign V245615 = V206251 - 1. assign V105819 = V140800 + 1. assign V274621 = V140800. assign V207303 = V626737. assign V062204 = V887582 + 1. assign V848028 = V950633 + 1. assign V889286 = V380145 - 1. assign V046043 = V551640. assign V417478 = V693569 + 1. assign V564250 = V285246 - 1. assign V947203 = V178654 - 1. assign V140746 = V187402 + 1. assign V180061 = V551640 - 1. assign V206251 = V802891 - 1. assign V694105 = V384333 - 1. assign V626737 = V180061 + 1. assign V523051 = V651514. assign V140800 = V156201 + 1. assign V037978 = V486572 + 1. assign V691554 = V211970 + 1. assign V380145 = V156201. assign V725351 = V384333 + 1. assign V457196 = V382165 + 1. assign V178654 = V539256 + 1. assign V661427 = V802564. assign V285246 = V180061. assign V255196 = V601279. assign V950633 = V022914 + 1. assign V486572 = V715028. assign V525556 = V363837 + 1. assign V639689 = V461480. assign V721868 = V525556. assign V205771 = V626737 - 1. assign V708433 = V693569 - 1. assign V974374 = V887582 - 1. assign V651514 = V140800 - 1. assign V084313 = V196910 - 1. assign V571075 = V171838. assign V728774 = V252632. assign V362752 = V725351 + 1. assign V031823 = V211970. assign V382165 = V974555. assign V171838 = V064363. assign V187402 = V380145. assign V262077 = V216893 + 1. assign V718157 = V062204 - 1. assign V252632 = V140800 - 1. assign V693569 = V974555 - 1. assign V211970 = V156201. assign V448189 = V384333 - 1. assign V850590 = V187402 + 1. assign V218453 = V461480 + 1. assign V802564 = V187402 + 1. assign V802891 = V156201 - 1. assign V887582 = V718261 + 1. assign V431807 = V553374 + 1. assign V393814 = V257195 - 1. assign V900936 = V037978. assign V066706 = V694105 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV601279 = 9;\n\nFrom these direct assignment(s), we have: \nV255196 = V601279 = 9;\nNo other variables can be derived from V255196;\nNo other variables can be derived from V601279;\n\nNow we have done all the calculations. Derived variables are:\nV601279 = 9;\nV255196 = 9;\n\nNow we have finished this problem. ANSWER:\nV601279, V255196\n", "role": "assistant" } ]

[ "V148795" ]

[ { "content": "<context>\nassign V519243 = V478094 + 1. assign V425698 = V119282 - 1. assign V752135 = V303675 + 1. assign V048571 = V033349. assign V701450 = V948168 - 1. assign V709721 = V675588. assign V244512 = V098332. assign V617275 = V917724. assign V276394 = V907931 - 1. assign V113317 = V487149 + 1. assign V830249 = V659393. assign V303254 = V148795 - 1. assign V345333 = V113317 - 1. assign V127706 = V713516 - 1. assign V678122 = V983309 - 1. assign V082243 = V180879. assign V675588 = V289462. assign V044729 = V113317 - 1. assign V405978 = V022109 + 1. assign V659393 = V119282. assign V907931 = V487149 - 1. assign V225378 = V904614 + 1. assign V098332 = V048571 + 1. assign V022109 = V709721 - 1. assign V787068 = V983309. assign V033349 = V548829 - 1. assign V282819 = V048571 + 1. assign V137173 = V659393 + 1. assign V303675 = V487149 - 1. assign V616446 = V659393. assign V548829 = V983309 + 1. assign V530020 = V048571 + 1. assign V964618 = V425698. assign V665227 = V648990. assign V180879 = V098332 + 1. assign V263157 = V678122 + 1. assign V879956 = V678122 + 1. assign V983309 = V907931. assign V475139 = V127706. assign V131720 = V289462 - 1. assign V143415 = V983309. assign V917724 = V113317 + 1. assign V009073 = V907931 - 1. assign V414398 = V276394. assign V903753 = V787710. assign V132754 = V525497 - 1. assign V904614 = V879956. assign V751220 = V244512. assign V265200 = V406282. assign V031720 = V548829. assign V119282 = V487149 - 1. assign V668136 = V709721 - 1. assign V079905 = V675588 - 1. assign V884086 = V659393. assign V544882 = V713516. assign V525497 = V289462 + 1. assign V021838 = V879956 + 1. assign V765622 = V098332 + 1. assign V475792 = V752135 + 1. assign V586006 = V132754 - 1. assign V636810 = V079905. assign V940533 = V289462. assign V767076 = V132754 + 1. assign V211335 = V752135 + 1. assign V948168 = V752135. assign V230140 = V276394 + 1. assign V014548 = V668136 + 1. assign V277888 = V022109. assign V320613 = V230140 + 1. assign V767921 = V021838 + 1. assign V478094 = V021838 + 1. assign V713516 = V879956. assign V033834 = V082243 - 1. assign V706044 = V678122 - 1. assign V639316 = V709721. assign V156129 = V767076 + 1. assign V887308 = V659393 + 1. assign V901434 = V917724 - 1. assign V271845 = V303675. assign V312864 = V289462 + 1. assign V648990 = V475792. assign V787710 = V678122 + 1. assign V614314 = V425698. assign V148795 = 4. assign V289462 = V983309 - 1. assign V406282 = V525497 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V519243 = V478094 + 1. assign V425698 = V119282 - 1. assign V752135 = V303675 + 1. assign V048571 = V033349. assign V701450 = V948168 - 1. assign V709721 = V675588. assign V244512 = V098332. assign V617275 = V917724. assign V276394 = V907931 - 1. assign V113317 = V487149 + 1. assign V830249 = V659393. assign V303254 = V148795 - 1. assign V345333 = V113317 - 1. assign V127706 = V713516 - 1. assign V678122 = V983309 - 1. assign V082243 = V180879. assign V675588 = V289462. assign V044729 = V113317 - 1. assign V405978 = V022109 + 1. assign V659393 = V119282. assign V907931 = V487149 - 1. assign V225378 = V904614 + 1. assign V098332 = V048571 + 1. assign V022109 = V709721 - 1. assign V787068 = V983309. assign V033349 = V548829 - 1. assign V282819 = V048571 + 1. assign V137173 = V659393 + 1. assign V303675 = V487149 - 1. assign V616446 = V659393. assign V548829 = V983309 + 1. assign V530020 = V048571 + 1. assign V964618 = V425698. assign V665227 = V648990. assign V180879 = V098332 + 1. assign V263157 = V678122 + 1. assign V879956 = V678122 + 1. assign V983309 = V907931. assign V475139 = V127706. assign V131720 = V289462 - 1. assign V143415 = V983309. assign V917724 = V113317 + 1. assign V009073 = V907931 - 1. assign V414398 = V276394. assign V903753 = V787710. assign V132754 = V525497 - 1. assign V904614 = V879956. assign V751220 = V244512. assign V265200 = V406282. assign V031720 = V548829. assign V119282 = V487149 - 1. assign V668136 = V709721 - 1. assign V079905 = V675588 - 1. assign V884086 = V659393. assign V544882 = V713516. assign V525497 = V289462 + 1. assign V021838 = V879956 + 1. assign V765622 = V098332 + 1. assign V475792 = V752135 + 1. assign V586006 = V132754 - 1. assign V636810 = V079905. assign V940533 = V289462. assign V767076 = V132754 + 1. assign V211335 = V752135 + 1. assign V948168 = V752135. assign V230140 = V276394 + 1. assign V014548 = V668136 + 1. assign V277888 = V022109. assign V320613 = V230140 + 1. assign V767921 = V021838 + 1. assign V478094 = V021838 + 1. assign V713516 = V879956. assign V033834 = V082243 - 1. assign V706044 = V678122 - 1. assign V639316 = V709721. assign V156129 = V767076 + 1. assign V887308 = V659393 + 1. assign V901434 = V917724 - 1. assign V271845 = V303675. assign V312864 = V289462 + 1. assign V648990 = V475792. assign V787710 = V678122 + 1. assign V614314 = V425698. assign V148795 = 4. assign V289462 = V983309 - 1. assign V406282 = V525497 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV148795 = 4;\n\nFrom these direct assignment(s), we have: \nV303254 = V148795 - 1 = 4 - 1 =3;\nNo other variables can be derived from V303254;\nNo other variables can be derived from V148795;\n\nNow we have done all the calculations. Derived variables are:\nV148795 = 4;\nV303254 = 3;\n\nNow we have finished this problem. ANSWER:\nV148795\n", "role": "assistant" } ]

[ "V785768" ]

[ { "content": "<context>\nassign V060913 = V290747 + 1. assign V376980 = V380687 - 1. assign V852388 = V394540. assign V407902 = V285135 - 1. assign V841440 = V509201 + 1. assign V492188 = V070003 - 1. assign V598430 = V496732 + 1. assign V733549 = V698522. assign V509201 = V401976 + 1. assign V139550 = V359558 + 1. assign V276028 = V860844. assign V441439 = V852388 - 1. assign V618283 = V247240. assign V823883 = V401976 + 1. assign V281244 = V376980 + 1. assign V998029 = V758231. assign V783208 = V509201 + 1. assign V358965 = V070003 - 1. assign V109891 = V359558 - 1. assign V655918 = V018426 + 1. assign V407082 = V813369 - 1. assign V017594 = V560841 + 1. assign V912602 = V290747. assign V290747 = V699077. assign V699077 = V672635 + 1. assign V672635 = V909343. assign V394540 = V285135 - 1. assign V973623 = V070003 + 1. assign V528813 = V438029 + 1. assign V860844 = V598430. assign V197731 = V823883 + 1. assign V918720 = V735045 - 1. assign V716883 = V276028 + 1. assign V878650 = V018426 - 1. assign V215136 = V823883 - 1. assign V398079 = V215136 + 1. assign V616267 = V070003. assign V247240 = V017594. assign V629152 = V878650 - 1. assign V921183 = V563891 + 1. assign V205963 = V783208 + 1. assign V909343 = V070003 - 1. assign V244362 = V435832 - 1. assign V554117 = V191055 + 1. assign V191055 = V358965 - 1. assign V359558 = V401976 - 1. assign V054267 = V393361 + 1. assign V563891 = V376980 + 1. assign V740815 = V359558 - 1. assign V976809 = V398079 + 1. assign V785768 = 8. assign V560841 = V823883 - 1. assign V761152 = V560841 - 1. assign V637502 = V598430 + 1. assign V111817 = V054267 + 1. assign V380687 = V560841 - 1. assign V496732 = V018426 - 1. assign V062853 = V467627. assign V055018 = V380687. assign V895369 = V222020 - 1. assign V855557 = V563891. assign V379331 = V401976 + 1. assign V222020 = V560841 - 1. assign V164382 = V215136 - 1. assign V018426 = V823883 - 1. assign V758231 = V973623 - 1. assign V463245 = V230905. assign V286016 = V359558. assign V735045 = V672635. assign V552621 = V918720 - 1. assign V435832 = V733549 - 1. assign V230905 = V528813 - 1. assign V886134 = V785768 + 1. assign V467627 = V878650. assign V413179 = V017594 + 1. assign V285135 = V413179 - 1. assign V928171 = V560841. assign V900598 = V560841 - 1. assign V813369 = V394540 - 1. assign V804962 = V783208. assign V698522 = V413179. assign V423085 = V285135 - 1. assign V438029 = V560841 + 1. assign V070003 = V823883 + 1. assign V393361 = V973623 + 1. assign V670114 = V860844 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V060913 = V290747 + 1. assign V376980 = V380687 - 1. assign V852388 = V394540. assign V407902 = V285135 - 1. assign V841440 = V509201 + 1. assign V492188 = V070003 - 1. assign V598430 = V496732 + 1. assign V733549 = V698522. assign V509201 = V401976 + 1. assign V139550 = V359558 + 1. assign V276028 = V860844. assign V441439 = V852388 - 1. assign V618283 = V247240. assign V823883 = V401976 + 1. assign V281244 = V376980 + 1. assign V998029 = V758231. assign V783208 = V509201 + 1. assign V358965 = V070003 - 1. assign V109891 = V359558 - 1. assign V655918 = V018426 + 1. assign V407082 = V813369 - 1. assign V017594 = V560841 + 1. assign V912602 = V290747. assign V290747 = V699077. assign V699077 = V672635 + 1. assign V672635 = V909343. assign V394540 = V285135 - 1. assign V973623 = V070003 + 1. assign V528813 = V438029 + 1. assign V860844 = V598430. assign V197731 = V823883 + 1. assign V918720 = V735045 - 1. assign V716883 = V276028 + 1. assign V878650 = V018426 - 1. assign V215136 = V823883 - 1. assign V398079 = V215136 + 1. assign V616267 = V070003. assign V247240 = V017594. assign V629152 = V878650 - 1. assign V921183 = V563891 + 1. assign V205963 = V783208 + 1. assign V909343 = V070003 - 1. assign V244362 = V435832 - 1. assign V554117 = V191055 + 1. assign V191055 = V358965 - 1. assign V359558 = V401976 - 1. assign V054267 = V393361 + 1. assign V563891 = V376980 + 1. assign V740815 = V359558 - 1. assign V976809 = V398079 + 1. assign V785768 = 8. assign V560841 = V823883 - 1. assign V761152 = V560841 - 1. assign V637502 = V598430 + 1. assign V111817 = V054267 + 1. assign V380687 = V560841 - 1. assign V496732 = V018426 - 1. assign V062853 = V467627. assign V055018 = V380687. assign V895369 = V222020 - 1. assign V855557 = V563891. assign V379331 = V401976 + 1. assign V222020 = V560841 - 1. assign V164382 = V215136 - 1. assign V018426 = V823883 - 1. assign V758231 = V973623 - 1. assign V463245 = V230905. assign V286016 = V359558. assign V735045 = V672635. assign V552621 = V918720 - 1. assign V435832 = V733549 - 1. assign V230905 = V528813 - 1. assign V886134 = V785768 + 1. assign V467627 = V878650. assign V413179 = V017594 + 1. assign V285135 = V413179 - 1. assign V928171 = V560841. assign V900598 = V560841 - 1. assign V813369 = V394540 - 1. assign V804962 = V783208. assign V698522 = V413179. assign V423085 = V285135 - 1. assign V438029 = V560841 + 1. assign V070003 = V823883 + 1. assign V393361 = V973623 + 1. assign V670114 = V860844 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV785768 = 8;\n\nFrom these direct assignment(s), we have: \nV886134 = V785768 + 1 = 8 + 1 =9;\nNo other variables can be derived from V886134;\nNo other variables can be derived from V785768;\n\nNow we have done all the calculations. Derived variables are:\nV785768 = 8;\nV886134 = 9;\n\nNow we have finished this problem. ANSWER:\nV785768\n", "role": "assistant" } ]

[ "V265499", "V021008" ]

[ { "content": "<context>\nassign V171496 = V501232 + 1. assign V786557 = V665497. assign V265499 = 8. assign V796276 = V824365. assign V332492 = V604583 - 1. assign V665497 = V624161 - 1. assign V177372 = V685866 - 1. assign V196774 = V181320. assign V758468 = V604583 + 1. assign V481571 = V156059 - 1. assign V115892 = V968819 - 1. assign V762125 = V392253. assign V610395 = V824365 + 1. assign V914777 = V685866 + 1. assign V511157 = V211332 - 1. assign V576190 = V824365. assign V685866 = V824365. assign V259045 = V332492. assign V211332 = V486710. assign V294523 = V812722 + 1. assign V408465 = V786557 - 1. assign V669543 = V321305 + 1. assign V021008 = V265499. assign V099870 = V624161 - 1. assign V357257 = V786557 + 1. assign V304852 = V099870 - 1. assign V726377 = V326525 - 1. assign V550746 = V227535. assign V481710 = V099870 - 1. assign V611483 = V576190. assign V525158 = V099870 + 1. assign V990127 = V505080 + 1. assign V624161 = V550746. assign V393515 = V638049 + 1. assign V905894 = V624161 + 1. assign V363649 = V285246 - 1. assign V404899 = V665497. assign V465366 = V486710 + 1. assign V824365 = V227535. assign V420839 = V990127. assign V616479 = V665497 + 1. assign V131570 = V465366 + 1. assign V486710 = V227535 - 1. assign V156059 = V602458. assign V812722 = V624161. assign V857265 = V762125 + 1. assign V305503 = V211332 - 1. assign V878505 = V171496. assign V604583 = V227535 - 1. assign V602458 = V624161 + 1. assign V505080 = V550746 - 1. assign V748891 = V914777 + 1. assign V188049 = V465366. assign V515599 = V465366. assign V416766 = V905894 - 1. assign V698913 = V321305 - 1. assign V285246 = V505080 - 1. assign V287073 = V211332 + 1. assign V349645 = V602458. assign V864559 = V481571 + 1. assign V163781 = V990127. assign V968819 = V604583 + 1. assign V392253 = V227535 - 1. assign V447644 = V968819. assign V638049 = V644420 - 1. assign V789595 = V285246. assign V853524 = V332492. assign V321305 = V685866 - 1. assign V442751 = V762125 + 1. assign V181320 = V099870 + 1. assign V948002 = V505080 + 1. assign V946124 = V990127 - 1. assign V466782 = V633933 + 1. assign V927410 = V326525 + 1. assign V038921 = V404899 - 1. assign V906361 = V665497 + 1. assign V430201 = V576190 + 1. assign V269646 = V758468. assign V326525 = V550746 - 1. assign V918472 = V408465. assign V644420 = V321305 + 1. assign V287166 = V905894 - 1. assign V501232 = V824365 + 1. assign V042652 = V550746 - 1. assign V596570 = V227535 + 1. assign V633933 = V604583 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V171496 = V501232 + 1. assign V786557 = V665497. assign V265499 = 8. assign V796276 = V824365. assign V332492 = V604583 - 1. assign V665497 = V624161 - 1. assign V177372 = V685866 - 1. assign V196774 = V181320. assign V758468 = V604583 + 1. assign V481571 = V156059 - 1. assign V115892 = V968819 - 1. assign V762125 = V392253. assign V610395 = V824365 + 1. assign V914777 = V685866 + 1. assign V511157 = V211332 - 1. assign V576190 = V824365. assign V685866 = V824365. assign V259045 = V332492. assign V211332 = V486710. assign V294523 = V812722 + 1. assign V408465 = V786557 - 1. assign V669543 = V321305 + 1. assign V021008 = V265499. assign V099870 = V624161 - 1. assign V357257 = V786557 + 1. assign V304852 = V099870 - 1. assign V726377 = V326525 - 1. assign V550746 = V227535. assign V481710 = V099870 - 1. assign V611483 = V576190. assign V525158 = V099870 + 1. assign V990127 = V505080 + 1. assign V624161 = V550746. assign V393515 = V638049 + 1. assign V905894 = V624161 + 1. assign V363649 = V285246 - 1. assign V404899 = V665497. assign V465366 = V486710 + 1. assign V824365 = V227535. assign V420839 = V990127. assign V616479 = V665497 + 1. assign V131570 = V465366 + 1. assign V486710 = V227535 - 1. assign V156059 = V602458. assign V812722 = V624161. assign V857265 = V762125 + 1. assign V305503 = V211332 - 1. assign V878505 = V171496. assign V604583 = V227535 - 1. assign V602458 = V624161 + 1. assign V505080 = V550746 - 1. assign V748891 = V914777 + 1. assign V188049 = V465366. assign V515599 = V465366. assign V416766 = V905894 - 1. assign V698913 = V321305 - 1. assign V285246 = V505080 - 1. assign V287073 = V211332 + 1. assign V349645 = V602458. assign V864559 = V481571 + 1. assign V163781 = V990127. assign V968819 = V604583 + 1. assign V392253 = V227535 - 1. assign V447644 = V968819. assign V638049 = V644420 - 1. assign V789595 = V285246. assign V853524 = V332492. assign V321305 = V685866 - 1. assign V442751 = V762125 + 1. assign V181320 = V099870 + 1. assign V948002 = V505080 + 1. assign V946124 = V990127 - 1. assign V466782 = V633933 + 1. assign V927410 = V326525 + 1. assign V038921 = V404899 - 1. assign V906361 = V665497 + 1. assign V430201 = V576190 + 1. assign V269646 = V758468. assign V326525 = V550746 - 1. assign V918472 = V408465. assign V644420 = V321305 + 1. assign V287166 = V905894 - 1. assign V501232 = V824365 + 1. assign V042652 = V550746 - 1. assign V596570 = V227535 + 1. assign V633933 = V604583 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV265499 = 8;\n\nFrom these direct assignment(s), we have: \nV021008 = V265499 = 8;\nNo other variables can be derived from V021008;\nNo other variables can be derived from V265499;\n\nNow we have done all the calculations. Derived variables are:\nV265499 = 8;\nV021008 = 8;\n\nNow we have finished this problem. ANSWER:\nV265499, V021008\n", "role": "assistant" } ]

[ "V599025", "V181917" ]

[ { "content": "<context>\nassign V069273 = V526450 - 1. assign V189931 = V323991. assign V069582 = V628686. assign V087286 = V006879. assign V672982 = V873413 - 1. assign V810559 = V722094 + 1. assign V805904 = V490243 + 1. assign V624531 = V029123. assign V722094 = V316690. assign V316119 = V949193 + 1. assign V283330 = V940768 + 1. assign V290205 = V940768. assign V985749 = V029123 - 1. assign V490243 = V708498 - 1. assign V429644 = V873413 + 1. assign V586482 = V382638 - 1. assign V949158 = V985749 + 1. assign V796528 = V296270. assign V295142 = V316119 - 1. assign V178453 = V009985. assign V644511 = V586482. assign V323910 = V225247 - 1. assign V779091 = V596133. assign V009985 = V985749. assign V120722 = V834392 + 1. assign V290840 = V845546 + 1. assign V585392 = V323910 - 1. assign V023956 = V283330. assign V834392 = V490243. assign V397889 = V173159. assign V974131 = V526450. assign V898105 = V794885 - 1. assign V583096 = V949158 - 1. assign V526450 = V099538. assign V006879 = V985749 - 1. assign V488018 = V873413 - 1. assign V922361 = V099538. assign V843455 = V949158. assign V029123 = V243693 - 1. assign V949193 = V099538 - 1. assign V230715 = V845546 + 1. assign V794885 = V612934 - 1. assign V331401 = V780528. assign V873413 = V029123 + 1. assign V940768 = V612934. assign V612934 = V029123 + 1. assign V934218 = V099538 - 1. assign V395485 = V243693 + 1. assign V254334 = V586482 + 1. assign V448740 = V290205 - 1. assign V296270 = V009985. assign V548608 = V708498. assign V670590 = V337062. assign V431056 = V382638 - 1. assign V701885 = V644511 + 1. assign V845546 = V173159. assign V544178 = V397889. assign V687939 = V780528 - 1. assign V780528 = V628686 - 1. assign V725393 = V211919. assign V627737 = V009985. assign V099538 = V243693 - 1. assign V173159 = V243693 + 1. assign V628686 = V029123. assign V546830 = V596133. assign V826973 = V779091. assign V596133 = V628686 - 1. assign V382638 = V949193. assign V211919 = V331401. assign V278895 = V178453 + 1. assign V814581 = V934218 + 1. assign V155763 = V316690 + 1. assign V105281 = V845546. assign V233399 = V316690 - 1. assign V013554 = V873413 + 1. assign V324802 = V225247 - 1. assign V337062 = V934218 + 1. assign V708498 = V178453 - 1. assign V758312 = V687939 - 1. assign V225247 = V099538 + 1. assign V323991 = V323910. assign V599025 = 10. assign V316690 = V708498 - 1. assign V884215 = V397889 - 1. assign V805907 = V490243 - 1. assign V181917 = V599025.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V069273 = V526450 - 1. assign V189931 = V323991. assign V069582 = V628686. assign V087286 = V006879. assign V672982 = V873413 - 1. assign V810559 = V722094 + 1. assign V805904 = V490243 + 1. assign V624531 = V029123. assign V722094 = V316690. assign V316119 = V949193 + 1. assign V283330 = V940768 + 1. assign V290205 = V940768. assign V985749 = V029123 - 1. assign V490243 = V708498 - 1. assign V429644 = V873413 + 1. assign V586482 = V382638 - 1. assign V949158 = V985749 + 1. assign V796528 = V296270. assign V295142 = V316119 - 1. assign V178453 = V009985. assign V644511 = V586482. assign V323910 = V225247 - 1. assign V779091 = V596133. assign V009985 = V985749. assign V120722 = V834392 + 1. assign V290840 = V845546 + 1. assign V585392 = V323910 - 1. assign V023956 = V283330. assign V834392 = V490243. assign V397889 = V173159. assign V974131 = V526450. assign V898105 = V794885 - 1. assign V583096 = V949158 - 1. assign V526450 = V099538. assign V006879 = V985749 - 1. assign V488018 = V873413 - 1. assign V922361 = V099538. assign V843455 = V949158. assign V029123 = V243693 - 1. assign V949193 = V099538 - 1. assign V230715 = V845546 + 1. assign V794885 = V612934 - 1. assign V331401 = V780528. assign V873413 = V029123 + 1. assign V940768 = V612934. assign V612934 = V029123 + 1. assign V934218 = V099538 - 1. assign V395485 = V243693 + 1. assign V254334 = V586482 + 1. assign V448740 = V290205 - 1. assign V296270 = V009985. assign V548608 = V708498. assign V670590 = V337062. assign V431056 = V382638 - 1. assign V701885 = V644511 + 1. assign V845546 = V173159. assign V544178 = V397889. assign V687939 = V780528 - 1. assign V780528 = V628686 - 1. assign V725393 = V211919. assign V627737 = V009985. assign V099538 = V243693 - 1. assign V173159 = V243693 + 1. assign V628686 = V029123. assign V546830 = V596133. assign V826973 = V779091. assign V596133 = V628686 - 1. assign V382638 = V949193. assign V211919 = V331401. assign V278895 = V178453 + 1. assign V814581 = V934218 + 1. assign V155763 = V316690 + 1. assign V105281 = V845546. assign V233399 = V316690 - 1. assign V013554 = V873413 + 1. assign V324802 = V225247 - 1. assign V337062 = V934218 + 1. assign V708498 = V178453 - 1. assign V758312 = V687939 - 1. assign V225247 = V099538 + 1. assign V323991 = V323910. assign V599025 = 10. assign V316690 = V708498 - 1. assign V884215 = V397889 - 1. assign V805907 = V490243 - 1. assign V181917 = V599025.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV599025 = 10;\n\nFrom these direct assignment(s), we have: \nV181917 = V599025 = 10;\nNo other variables can be derived from V181917;\nNo other variables can be derived from V599025;\n\nNow we have done all the calculations. Derived variables are:\nV599025 = 10;\nV181917 = 10;\n\nNow we have finished this problem. ANSWER:\nV599025, V181917\n", "role": "assistant" } ]

[ "V793969" ]

[ { "content": "<context>\nassign V061555 = V397223 + 1. assign V832126 = V014390 + 1. assign V984790 = V948251 + 1. assign V933044 = V081536. assign V448835 = V664223 - 1. assign V228949 = V828722 - 1. assign V425138 = V342707. assign V655832 = V961354. assign V471890 = V275427. assign V138472 = V664223. assign V886774 = V821767. assign V961354 = V228949. assign V769932 = V471890. assign V755981 = V514347 - 1. assign V267823 = V755981. assign V470019 = V828722 - 1. assign V736025 = V922206 + 1. assign V367335 = V267823. assign V246669 = V421377 - 1. assign V922282 = 6. assign V065955 = V342707. assign V143750 = V421377 - 1. assign V959624 = V921895 + 1. assign V966317 = V136741. assign V136741 = V560536. assign V328985 = V958690 + 1. assign V821767 = V933044. assign V557458 = V948251 + 1. assign V747104 = V126004 + 1. assign V045268 = V828722 + 1. assign V726436 = V503593 - 1. assign V472193 = V243434 + 1. assign V793969 = V922282 - 1. assign V372365 = V755981. assign V237702 = V958690. assign V397223 = V471890 + 1. assign V948251 = V421377 - 1. assign V074646 = V828722. assign V786019 = V471890 - 1. assign V753313 = V470019 + 1. assign V420000 = V042279. assign V243434 = V655832 + 1. assign V042279 = V081536 - 1. assign V475333 = V138472 + 1. assign V085197 = V403210. assign V342707 = V966317. assign V275427 = V560536. assign V346247 = V061803 - 1. assign V403210 = V014390 + 1. assign V249589 = V300294 - 1. assign V292671 = V828722 + 1. assign V081536 = V228949 - 1. assign V958690 = V821767. assign V921895 = V832126 + 1. assign V900206 = V833821. assign V126004 = V655832 + 1. assign V421377 = V560536 - 1. assign V278704 = V228949 + 1. assign V833821 = V023267 + 1. assign V869281 = V503593 + 1. assign V322797 = V828722 + 1. assign V114340 = V372365 - 1. assign V992258 = V869281 + 1. assign V757039 = V300294 + 1. assign V560536 = V961354 + 1. assign V503593 = V948251 - 1. assign V514347 = V420000 + 1. assign V300294 = V961354. assign V922206 = V961354 - 1. assign V833546 = V249589 - 1. assign V748373 = V922206. assign V046755 = V948251 - 1. assign V061803 = V421377 + 1. assign V433575 = V557458. assign V076461 = V821767 - 1. assign V514027 = V833821 + 1. assign V305884 = V948251. assign V149473 = V042279 + 1. assign V832422 = V126004. assign V664223 = V042279. assign V519299 = V560536. assign V023267 = V275427 - 1. assign V921919 = V726436. assign V192176 = V655832 + 1. assign V871344 = V833821. assign V014390 = V961354 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V061555 = V397223 + 1. assign V832126 = V014390 + 1. assign V984790 = V948251 + 1. assign V933044 = V081536. assign V448835 = V664223 - 1. assign V228949 = V828722 - 1. assign V425138 = V342707. assign V655832 = V961354. assign V471890 = V275427. assign V138472 = V664223. assign V886774 = V821767. assign V961354 = V228949. assign V769932 = V471890. assign V755981 = V514347 - 1. assign V267823 = V755981. assign V470019 = V828722 - 1. assign V736025 = V922206 + 1. assign V367335 = V267823. assign V246669 = V421377 - 1. assign V922282 = 6. assign V065955 = V342707. assign V143750 = V421377 - 1. assign V959624 = V921895 + 1. assign V966317 = V136741. assign V136741 = V560536. assign V328985 = V958690 + 1. assign V821767 = V933044. assign V557458 = V948251 + 1. assign V747104 = V126004 + 1. assign V045268 = V828722 + 1. assign V726436 = V503593 - 1. assign V472193 = V243434 + 1. assign V793969 = V922282 - 1. assign V372365 = V755981. assign V237702 = V958690. assign V397223 = V471890 + 1. assign V948251 = V421377 - 1. assign V074646 = V828722. assign V786019 = V471890 - 1. assign V753313 = V470019 + 1. assign V420000 = V042279. assign V243434 = V655832 + 1. assign V042279 = V081536 - 1. assign V475333 = V138472 + 1. assign V085197 = V403210. assign V342707 = V966317. assign V275427 = V560536. assign V346247 = V061803 - 1. assign V403210 = V014390 + 1. assign V249589 = V300294 - 1. assign V292671 = V828722 + 1. assign V081536 = V228949 - 1. assign V958690 = V821767. assign V921895 = V832126 + 1. assign V900206 = V833821. assign V126004 = V655832 + 1. assign V421377 = V560536 - 1. assign V278704 = V228949 + 1. assign V833821 = V023267 + 1. assign V869281 = V503593 + 1. assign V322797 = V828722 + 1. assign V114340 = V372365 - 1. assign V992258 = V869281 + 1. assign V757039 = V300294 + 1. assign V560536 = V961354 + 1. assign V503593 = V948251 - 1. assign V514347 = V420000 + 1. assign V300294 = V961354. assign V922206 = V961354 - 1. assign V833546 = V249589 - 1. assign V748373 = V922206. assign V046755 = V948251 - 1. assign V061803 = V421377 + 1. assign V433575 = V557458. assign V076461 = V821767 - 1. assign V514027 = V833821 + 1. assign V305884 = V948251. assign V149473 = V042279 + 1. assign V832422 = V126004. assign V664223 = V042279. assign V519299 = V560536. assign V023267 = V275427 - 1. assign V921919 = V726436. assign V192176 = V655832 + 1. assign V871344 = V833821. assign V014390 = V961354 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV922282 = 6;\n\nFrom these direct assignment(s), we have: \nV793969 = V922282 - 1 = 6 - 1 =5;\nNo other variables can be derived from V793969;\nNo other variables can be derived from V922282;\n\nNow we have done all the calculations. Derived variables are:\nV922282 = 6;\nV793969 = 5;\n\nNow we have finished this problem. ANSWER:\nV793969\n", "role": "assistant" } ]

[ "V467610" ]

[ { "content": "<context>\nassign V533877 = V502589. assign V320812 = V452119. assign V102862 = V362275 - 1. assign V065486 = V102937. assign V173090 = V362275 - 1. assign V815580 = V531512 + 1. assign V039419 = V362275 - 1. assign V207293 = V597807 + 1. assign V729923 = V969244 - 1. assign V538892 = V706486 - 1. assign V467610 = V989865 + 1. assign V599126 = V663605 + 1. assign V646826 = V969244. assign V531512 = V189637. assign V914870 = V065486 + 1. assign V015189 = V179186. assign V828298 = V890704. assign V935000 = V046930. assign V554974 = V452119 - 1. assign V801470 = V538892. assign V338882 = V969244 + 1. assign V330047 = V189637. assign V890704 = V152039 + 1. assign V152039 = V870883 - 1. assign V999068 = V755168 - 1. assign V326414 = V345272 + 1. assign V656436 = V673802 - 1. assign V706486 = V597807. assign V820848 = V179186. assign V416476 = V229295 - 1. assign V102937 = V229295 + 1. assign V800024 = V663605 + 1. assign V475663 = V053002. assign V149796 = V597807. assign V229295 = V452119 - 1. assign V330023 = V815580 - 1. assign V329724 = V229295 + 1. assign V642471 = V039419 - 1. assign V240524 = V088282 + 1. assign V362275 = V542434 - 1. assign V956917 = V330047 - 1. assign V504280 = V642471 + 1. assign V540800 = V319811. assign V294893 = V338882 + 1. assign V597807 = V015189 - 1. assign V179186 = V039419 - 1. assign V709667 = V065486 - 1. assign V095283 = V338882. assign V053002 = V978473. assign V663605 = V542434 + 1. assign V755168 = V113207 + 1. assign V727210 = V319811 - 1. assign V194636 = V504280 - 1. assign V113207 = V338882 - 1. assign V345272 = V179186. assign V319811 = V800024. assign V502589 = V542434 - 1. assign V452119 = V542434. assign V275434 = V416476 - 1. assign V673802 = V914870. assign V189637 = V542434 - 1. assign V011393 = V596437. assign V088282 = V542434. assign V804866 = V173090 + 1. assign V533892 = V416476 - 1. assign V596437 = V504280. assign V378106 = V542434 + 1. assign V456435 = V053002 + 1. assign V486911 = V663605 + 1. assign V770278 = V804866. assign V436842 = V870883 - 1. assign V835802 = V755168 + 1. assign V374587 = V378106 - 1. assign V972882 = V152039 + 1. assign V642689 = V755168 - 1. assign V969244 = V663605. assign V719666 = V554974 + 1. assign V815689 = V820848. assign V989865 = 7. assign V438231 = V207293. assign V870883 = V642471 - 1. assign V978473 = V663605 - 1. assign V046930 = V179186 + 1. assign V803983 = V935000 - 1. assign V898150 = V378106 + 1. assign V074746 = V719666.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V533877 = V502589. assign V320812 = V452119. assign V102862 = V362275 - 1. assign V065486 = V102937. assign V173090 = V362275 - 1. assign V815580 = V531512 + 1. assign V039419 = V362275 - 1. assign V207293 = V597807 + 1. assign V729923 = V969244 - 1. assign V538892 = V706486 - 1. assign V467610 = V989865 + 1. assign V599126 = V663605 + 1. assign V646826 = V969244. assign V531512 = V189637. assign V914870 = V065486 + 1. assign V015189 = V179186. assign V828298 = V890704. assign V935000 = V046930. assign V554974 = V452119 - 1. assign V801470 = V538892. assign V338882 = V969244 + 1. assign V330047 = V189637. assign V890704 = V152039 + 1. assign V152039 = V870883 - 1. assign V999068 = V755168 - 1. assign V326414 = V345272 + 1. assign V656436 = V673802 - 1. assign V706486 = V597807. assign V820848 = V179186. assign V416476 = V229295 - 1. assign V102937 = V229295 + 1. assign V800024 = V663605 + 1. assign V475663 = V053002. assign V149796 = V597807. assign V229295 = V452119 - 1. assign V330023 = V815580 - 1. assign V329724 = V229295 + 1. assign V642471 = V039419 - 1. assign V240524 = V088282 + 1. assign V362275 = V542434 - 1. assign V956917 = V330047 - 1. assign V504280 = V642471 + 1. assign V540800 = V319811. assign V294893 = V338882 + 1. assign V597807 = V015189 - 1. assign V179186 = V039419 - 1. assign V709667 = V065486 - 1. assign V095283 = V338882. assign V053002 = V978473. assign V663605 = V542434 + 1. assign V755168 = V113207 + 1. assign V727210 = V319811 - 1. assign V194636 = V504280 - 1. assign V113207 = V338882 - 1. assign V345272 = V179186. assign V319811 = V800024. assign V502589 = V542434 - 1. assign V452119 = V542434. assign V275434 = V416476 - 1. assign V673802 = V914870. assign V189637 = V542434 - 1. assign V011393 = V596437. assign V088282 = V542434. assign V804866 = V173090 + 1. assign V533892 = V416476 - 1. assign V596437 = V504280. assign V378106 = V542434 + 1. assign V456435 = V053002 + 1. assign V486911 = V663605 + 1. assign V770278 = V804866. assign V436842 = V870883 - 1. assign V835802 = V755168 + 1. assign V374587 = V378106 - 1. assign V972882 = V152039 + 1. assign V642689 = V755168 - 1. assign V969244 = V663605. assign V719666 = V554974 + 1. assign V815689 = V820848. assign V989865 = 7. assign V438231 = V207293. assign V870883 = V642471 - 1. assign V978473 = V663605 - 1. assign V046930 = V179186 + 1. assign V803983 = V935000 - 1. assign V898150 = V378106 + 1. assign V074746 = V719666.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV989865 = 7;\n\nFrom these direct assignment(s), we have: \nV467610 = V989865 + 1 = 7 + 1 =8;\nNo other variables can be derived from V467610;\nNo other variables can be derived from V989865;\n\nNow we have done all the calculations. Derived variables are:\nV989865 = 7;\nV467610 = 8;\n\nNow we have finished this problem. ANSWER:\nV467610\n", "role": "assistant" } ]

[ "V583931" ]

[ { "content": "<context>\nassign V121307 = V623437 + 1. assign V230519 = V186710 - 1. assign V498656 = V018855. assign V660934 = V019472 - 1. assign V385314 = V565318 + 1. assign V639955 = V583931 + 1. assign V623437 = V336335 + 1. assign V730046 = V925082 - 1. assign V125125 = V971689 + 1. assign V205253 = V009342. assign V345964 = V006025 - 1. assign V948399 = V006025. assign V819250 = V121307 - 1. assign V583931 = 3. assign V055730 = V491305. assign V265403 = V006025 - 1. assign V957151 = V218442 + 1. assign V833398 = V050560 - 1. assign V517556 = V267064 + 1. assign V349354 = V660934 - 1. assign V438762 = V121307 - 1. assign V509823 = V917926 - 1. assign V192979 = V019472. assign V445477 = V218442 + 1. assign V477768 = V674688 + 1. assign V985859 = V445477. assign V641732 = V591196. assign V925082 = V819250 + 1. assign V018855 = V948399 + 1. assign V293453 = V442156. assign V009342 = V362534. assign V056366 = V081012. assign V703284 = V819250 + 1. assign V674688 = V445477 + 1. assign V359008 = V591196. assign V581396 = V948399 + 1. assign V807486 = V359008. assign V766750 = V957151 - 1. assign V917926 = V424147. assign V136498 = V509823 - 1. assign V539058 = V006025. assign V442156 = V424147. assign V336335 = V591196 - 1. assign V491305 = V948399. assign V064805 = V882554 - 1. assign V362534 = V424147. assign V217729 = V645467 - 1. assign V225926 = V585979 + 1. assign V186710 = V966331. assign V564554 = V009342 - 1. assign V882554 = V730046 - 1. assign V006025 = V947786. assign V966331 = V819250. assign V474782 = V819250 - 1. assign V729150 = V477768. assign V247252 = V006025. assign V585979 = V362534 - 1. assign V218442 = V641732 - 1. assign V517739 = V293453. assign V565318 = V591196 + 1. assign V683188 = V218442 + 1. assign V489540 = V660934. assign V616771 = V674540 - 1. assign V795068 = V362534. assign V819793 = V349354. assign V293856 = V819250 - 1. assign V050560 = V819250. assign V819615 = V739021 + 1. assign V748089 = V018855. assign V798099 = V947786 + 1. assign V424147 = V623437. assign V919732 = V729150. assign V645467 = V018855 + 1. assign V971689 = V498656 - 1. assign V362733 = V006025 + 1. assign V540569 = V971689. assign V947786 = V336335. assign V081012 = V218442. assign V001360 = V424147 - 1. assign V840604 = V445477 - 1. assign V134604 = V739021 + 1. assign V019472 = V218442 - 1. assign V674540 = V641732 - 1. assign V553982 = V121307. assign V267064 = V623437 - 1. assign V739021 = V050560 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V121307 = V623437 + 1. assign V230519 = V186710 - 1. assign V498656 = V018855. assign V660934 = V019472 - 1. assign V385314 = V565318 + 1. assign V639955 = V583931 + 1. assign V623437 = V336335 + 1. assign V730046 = V925082 - 1. assign V125125 = V971689 + 1. assign V205253 = V009342. assign V345964 = V006025 - 1. assign V948399 = V006025. assign V819250 = V121307 - 1. assign V583931 = 3. assign V055730 = V491305. assign V265403 = V006025 - 1. assign V957151 = V218442 + 1. assign V833398 = V050560 - 1. assign V517556 = V267064 + 1. assign V349354 = V660934 - 1. assign V438762 = V121307 - 1. assign V509823 = V917926 - 1. assign V192979 = V019472. assign V445477 = V218442 + 1. assign V477768 = V674688 + 1. assign V985859 = V445477. assign V641732 = V591196. assign V925082 = V819250 + 1. assign V018855 = V948399 + 1. assign V293453 = V442156. assign V009342 = V362534. assign V056366 = V081012. assign V703284 = V819250 + 1. assign V674688 = V445477 + 1. assign V359008 = V591196. assign V581396 = V948399 + 1. assign V807486 = V359008. assign V766750 = V957151 - 1. assign V917926 = V424147. assign V136498 = V509823 - 1. assign V539058 = V006025. assign V442156 = V424147. assign V336335 = V591196 - 1. assign V491305 = V948399. assign V064805 = V882554 - 1. assign V362534 = V424147. assign V217729 = V645467 - 1. assign V225926 = V585979 + 1. assign V186710 = V966331. assign V564554 = V009342 - 1. assign V882554 = V730046 - 1. assign V006025 = V947786. assign V966331 = V819250. assign V474782 = V819250 - 1. assign V729150 = V477768. assign V247252 = V006025. assign V585979 = V362534 - 1. assign V218442 = V641732 - 1. assign V517739 = V293453. assign V565318 = V591196 + 1. assign V683188 = V218442 + 1. assign V489540 = V660934. assign V616771 = V674540 - 1. assign V795068 = V362534. assign V819793 = V349354. assign V293856 = V819250 - 1. assign V050560 = V819250. assign V819615 = V739021 + 1. assign V748089 = V018855. assign V798099 = V947786 + 1. assign V424147 = V623437. assign V919732 = V729150. assign V645467 = V018855 + 1. assign V971689 = V498656 - 1. assign V362733 = V006025 + 1. assign V540569 = V971689. assign V947786 = V336335. assign V081012 = V218442. assign V001360 = V424147 - 1. assign V840604 = V445477 - 1. assign V134604 = V739021 + 1. assign V019472 = V218442 - 1. assign V674540 = V641732 - 1. assign V553982 = V121307. assign V267064 = V623437 - 1. assign V739021 = V050560 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV583931 = 3;\n\nFrom these direct assignment(s), we have: \nV639955 = V583931 + 1 = 3 + 1 =4;\nNo other variables can be derived from V639955;\nNo other variables can be derived from V583931;\n\nNow we have done all the calculations. Derived variables are:\nV583931 = 3;\nV639955 = 4;\n\nNow we have finished this problem. ANSWER:\nV583931\n", "role": "assistant" } ]

[ "V831147", "V600324" ]

[ { "content": "<context>\nassign V147659 = V966612 + 1. assign V055762 = V842199 + 1. assign V740830 = V207298 + 1. assign V915579 = V740830 - 1. assign V255086 = V115520 - 1. assign V044748 = V580221. assign V115520 = V390235 - 1. assign V388244 = V147659 + 1. assign V670082 = V843794 - 1. assign V747144 = V255086 + 1. assign V865932 = V891713 + 1. assign V397019 = V794883. assign V300959 = V207298 - 1. assign V556342 = V321513. assign V811099 = V644289. assign V743590 = V497945 + 1. assign V918788 = V333136 - 1. assign V604601 = V641363 - 1. assign V589895 = V713087. assign V112290 = V147659. assign V891713 = V966612. assign V472205 = V644289 + 1. assign V962198 = V390235. assign V484616 = V448732 + 1. assign V380009 = V937387. assign V927118 = V740830 - 1. assign V200619 = V747144. assign V966612 = V707262. assign V461366 = V941505. assign V371144 = V918788. assign V333136 = V843794. assign V449573 = V448732 + 1. assign V999486 = V670082 + 1. assign V068585 = V390235. assign V842199 = V448732 - 1. assign V497945 = V448732. assign V598299 = V927118 - 1. assign V245702 = V423501. assign V390235 = V941505. assign V831147 = 4. assign V915212 = V112290 + 1. assign V644289 = V891713 + 1. assign V707262 = V207298 - 1. assign V321513 = V313410 + 1. assign V580221 = V797893 - 1. assign V862504 = V413153 - 1. assign V929730 = V980842. assign V906911 = V556342 + 1. assign V220023 = V707262 - 1. assign V423501 = V670082 - 1. assign V303867 = V413153 + 1. assign V237663 = V042054 - 1. assign V600324 = V831147. assign V665686 = V461366 + 1. assign V815433 = V707262. assign V641363 = V891713 + 1. assign V797893 = V937387 - 1. assign V069647 = V048182 - 1. assign V042054 = V068585. assign V788672 = V300959 + 1. assign V587359 = V929730 - 1. assign V311914 = V747144 + 1. assign V689445 = V225362. assign V448732 = V220023. assign V794883 = V042054 + 1. assign V941505 = V966612 + 1. assign V997885 = V604601 + 1. assign V313410 = V300959. assign V937387 = V980842 - 1. assign V874543 = V891713 + 1. assign V642519 = V005517. assign V032961 = V962198. assign V956997 = V797893. assign V843794 = V707262 + 1. assign V502634 = V962198. assign V746559 = V423501 + 1. assign V049989 = V644289 - 1. assign V168951 = V865932 + 1. assign V903440 = V966612 - 1. assign V225362 = V220023 + 1. assign V413153 = V048182 - 1. assign V980842 = V207298 - 1. assign V713087 = V207298 - 1. assign V048831 = V746559. assign V005517 = V042054. assign V048182 = V220023.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V147659 = V966612 + 1. assign V055762 = V842199 + 1. assign V740830 = V207298 + 1. assign V915579 = V740830 - 1. assign V255086 = V115520 - 1. assign V044748 = V580221. assign V115520 = V390235 - 1. assign V388244 = V147659 + 1. assign V670082 = V843794 - 1. assign V747144 = V255086 + 1. assign V865932 = V891713 + 1. assign V397019 = V794883. assign V300959 = V207298 - 1. assign V556342 = V321513. assign V811099 = V644289. assign V743590 = V497945 + 1. assign V918788 = V333136 - 1. assign V604601 = V641363 - 1. assign V589895 = V713087. assign V112290 = V147659. assign V891713 = V966612. assign V472205 = V644289 + 1. assign V962198 = V390235. assign V484616 = V448732 + 1. assign V380009 = V937387. assign V927118 = V740830 - 1. assign V200619 = V747144. assign V966612 = V707262. assign V461366 = V941505. assign V371144 = V918788. assign V333136 = V843794. assign V449573 = V448732 + 1. assign V999486 = V670082 + 1. assign V068585 = V390235. assign V842199 = V448732 - 1. assign V497945 = V448732. assign V598299 = V927118 - 1. assign V245702 = V423501. assign V390235 = V941505. assign V831147 = 4. assign V915212 = V112290 + 1. assign V644289 = V891713 + 1. assign V707262 = V207298 - 1. assign V321513 = V313410 + 1. assign V580221 = V797893 - 1. assign V862504 = V413153 - 1. assign V929730 = V980842. assign V906911 = V556342 + 1. assign V220023 = V707262 - 1. assign V423501 = V670082 - 1. assign V303867 = V413153 + 1. assign V237663 = V042054 - 1. assign V600324 = V831147. assign V665686 = V461366 + 1. assign V815433 = V707262. assign V641363 = V891713 + 1. assign V797893 = V937387 - 1. assign V069647 = V048182 - 1. assign V042054 = V068585. assign V788672 = V300959 + 1. assign V587359 = V929730 - 1. assign V311914 = V747144 + 1. assign V689445 = V225362. assign V448732 = V220023. assign V794883 = V042054 + 1. assign V941505 = V966612 + 1. assign V997885 = V604601 + 1. assign V313410 = V300959. assign V937387 = V980842 - 1. assign V874543 = V891713 + 1. assign V642519 = V005517. assign V032961 = V962198. assign V956997 = V797893. assign V843794 = V707262 + 1. assign V502634 = V962198. assign V746559 = V423501 + 1. assign V049989 = V644289 - 1. assign V168951 = V865932 + 1. assign V903440 = V966612 - 1. assign V225362 = V220023 + 1. assign V413153 = V048182 - 1. assign V980842 = V207298 - 1. assign V713087 = V207298 - 1. assign V048831 = V746559. assign V005517 = V042054. assign V048182 = V220023.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV831147 = 4;\n\nFrom these direct assignment(s), we have: \nV600324 = V831147 = 4;\nNo other variables can be derived from V600324;\nNo other variables can be derived from V831147;\n\nNow we have done all the calculations. Derived variables are:\nV831147 = 4;\nV600324 = 4;\n\nNow we have finished this problem. ANSWER:\nV831147, V600324\n", "role": "assistant" } ]

[ "V848537" ]

[ { "content": "<context>\nassign V720201 = V854238. assign V059397 = V442004. assign V995540 = V633739. assign V442004 = V507392 - 1. assign V766516 = V440454 - 1. assign V290139 = V301929 + 1. assign V403634 = V691023 + 1. assign V134391 = V322977 + 1. assign V891005 = V895914 - 1. assign V089719 = V290139 + 1. assign V848537 = V198746 - 1. assign V318867 = V134391 + 1. assign V742853 = V507392. assign V440454 = V699031 - 1. assign V920546 = V895914 - 1. assign V902893 = V699031 + 1. assign V443755 = V902893 + 1. assign V855479 = V627919. assign V198746 = 9. assign V178451 = V314047. assign V319247 = V442004 - 1. assign V593302 = V485685 + 1. assign V691023 = V587497 - 1. assign V510116 = V671332. assign V625608 = V322977 + 1. assign V162113 = V541785. assign V068891 = V134391 + 1. assign V690450 = V417602 - 1. assign V148972 = V625608 + 1. assign V587497 = V625608 - 1. assign V364649 = V485685 - 1. assign V762609 = V897780 - 1. assign V768757 = V440454. assign V485685 = V742853. assign V895914 = V633739. assign V507392 = V167731 + 1. assign V541785 = V662154 - 1. assign V326101 = V485685 + 1. assign V575442 = V554959. assign V036934 = V855479 + 1. assign V528480 = V742853 - 1. assign V301929 = V897780 - 1. assign V329536 = V902893. assign V167731 = V897780 - 1. assign V567942 = V318413 + 1. assign V721196 = V923840. assign V534122 = V507392 + 1. assign V819989 = V554959 + 1. assign V559984 = V923840 - 1. assign V206726 = V674547 + 1. assign V026944 = V704688. assign V627919 = V167731. assign V902638 = V403634 + 1. assign V339231 = V593302 + 1. assign V674547 = V167355 + 1. assign V671332 = V507392 - 1. assign V137415 = V662154 - 1. assign V554959 = V534122 - 1. assign V923840 = V704688. assign V897780 = V920735 - 1. assign V704688 = V587497 - 1. assign V052419 = V485685. assign V370190 = V026944. assign V654489 = V243478 + 1. assign V699031 = V625608. assign V243478 = V625608. assign V314047 = V662154. assign V391490 = V587497. assign V031091 = V320707 - 1. assign V167355 = V633739. assign V011831 = V593302. assign V156612 = V440454 + 1. assign V956936 = V720201 - 1. assign V814582 = V485685 - 1. assign V854238 = V671332 - 1. assign V318413 = V137415 + 1. assign V662154 = V148972 + 1. assign V633739 = V322977 + 1. assign V320707 = V507392. assign V527413 = V134391 - 1. assign V417602 = V148972 + 1. assign V074395 = V691023 - 1. assign V097540 = V442004 + 1. assign V675314 = V766516 + 1. assign V232509 = V167355 - 1. assign V920735 = V322977 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V720201 = V854238. assign V059397 = V442004. assign V995540 = V633739. assign V442004 = V507392 - 1. assign V766516 = V440454 - 1. assign V290139 = V301929 + 1. assign V403634 = V691023 + 1. assign V134391 = V322977 + 1. assign V891005 = V895914 - 1. assign V089719 = V290139 + 1. assign V848537 = V198746 - 1. assign V318867 = V134391 + 1. assign V742853 = V507392. assign V440454 = V699031 - 1. assign V920546 = V895914 - 1. assign V902893 = V699031 + 1. assign V443755 = V902893 + 1. assign V855479 = V627919. assign V198746 = 9. assign V178451 = V314047. assign V319247 = V442004 - 1. assign V593302 = V485685 + 1. assign V691023 = V587497 - 1. assign V510116 = V671332. assign V625608 = V322977 + 1. assign V162113 = V541785. assign V068891 = V134391 + 1. assign V690450 = V417602 - 1. assign V148972 = V625608 + 1. assign V587497 = V625608 - 1. assign V364649 = V485685 - 1. assign V762609 = V897780 - 1. assign V768757 = V440454. assign V485685 = V742853. assign V895914 = V633739. assign V507392 = V167731 + 1. assign V541785 = V662154 - 1. assign V326101 = V485685 + 1. assign V575442 = V554959. assign V036934 = V855479 + 1. assign V528480 = V742853 - 1. assign V301929 = V897780 - 1. assign V329536 = V902893. assign V167731 = V897780 - 1. assign V567942 = V318413 + 1. assign V721196 = V923840. assign V534122 = V507392 + 1. assign V819989 = V554959 + 1. assign V559984 = V923840 - 1. assign V206726 = V674547 + 1. assign V026944 = V704688. assign V627919 = V167731. assign V902638 = V403634 + 1. assign V339231 = V593302 + 1. assign V674547 = V167355 + 1. assign V671332 = V507392 - 1. assign V137415 = V662154 - 1. assign V554959 = V534122 - 1. assign V923840 = V704688. assign V897780 = V920735 - 1. assign V704688 = V587497 - 1. assign V052419 = V485685. assign V370190 = V026944. assign V654489 = V243478 + 1. assign V699031 = V625608. assign V243478 = V625608. assign V314047 = V662154. assign V391490 = V587497. assign V031091 = V320707 - 1. assign V167355 = V633739. assign V011831 = V593302. assign V156612 = V440454 + 1. assign V956936 = V720201 - 1. assign V814582 = V485685 - 1. assign V854238 = V671332 - 1. assign V318413 = V137415 + 1. assign V662154 = V148972 + 1. assign V633739 = V322977 + 1. assign V320707 = V507392. assign V527413 = V134391 - 1. assign V417602 = V148972 + 1. assign V074395 = V691023 - 1. assign V097540 = V442004 + 1. assign V675314 = V766516 + 1. assign V232509 = V167355 - 1. assign V920735 = V322977 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV198746 = 9;\n\nFrom these direct assignment(s), we have: \nV848537 = V198746 - 1 = 9 - 1 =8;\nNo other variables can be derived from V848537;\nNo other variables can be derived from V198746;\n\nNow we have done all the calculations. Derived variables are:\nV198746 = 9;\nV848537 = 8;\n\nNow we have finished this problem. ANSWER:\nV848537\n", "role": "assistant" } ]

[ "V794474" ]

[ { "content": "<context>\nassign V472584 = V369973 + 1. assign V283361 = V455599 + 1. assign V404431 = V246326 - 1. assign V191042 = V199754 - 1. assign V097984 = V791722. assign V288671 = V189615 - 1. assign V490884 = V184367. assign V081317 = V661233 - 1. assign V242712 = V593180 + 1. assign V461227 = V791722 - 1. assign V047099 = V661233 - 1. assign V214278 = V461227 + 1. assign V268141 = V214278 - 1. assign V369973 = V981312 + 1. assign V969449 = V981312 - 1. assign V948577 = V507671 - 1. assign V981312 = V764385 + 1. assign V245077 = V123273 + 1. assign V852106 = V764385 + 1. assign V907634 = V549914 - 1. assign V131801 = V283361 + 1. assign V131217 = V362878 + 1. assign V246326 = V981312 - 1. assign V409801 = V123273 - 1. assign V670953 = V770187 + 1. assign V964708 = V125994. assign V585156 = V948577. assign V575057 = V380966 + 1. assign V248014 = 2. assign V233555 = V661233. assign V362878 = V283361. assign V393378 = V047099 + 1. assign V125517 = V852106 - 1. assign V791722 = V661233 - 1. assign V551831 = V364625. assign V760011 = V455599. assign V286462 = V393378 + 1. assign V123273 = V759452 + 1. assign V623083 = V770187 - 1. assign V070105 = V759452 - 1. assign V887078 = V455599 + 1. assign V759452 = V678136 - 1. assign V246009 = V380966 - 1. assign V503789 = V371684. assign V199754 = V364625 - 1. assign V661233 = V759452. assign V364625 = V184367 - 1. assign V794474 = V248014 - 1. assign V742630 = V125994 - 1. assign V507671 = V060902 - 1. assign V177592 = V948577. assign V060902 = V472584 + 1. assign V420818 = V764385 + 1. assign V269699 = V575057 + 1. assign V770187 = V184367. assign V549914 = V964708 + 1. assign V326583 = V551831 + 1. assign V253733 = V191042. assign V322744 = V641040 + 1. assign V495209 = V593180 + 1. assign V455599 = V759452 - 1. assign V380966 = V770187. assign V371684 = V380966 + 1. assign V743805 = V770187. assign V593180 = V759452. assign V297920 = V750021. assign V219526 = V593180. assign V811437 = V791722 - 1. assign V360686 = V283361. assign V853602 = V981312 + 1. assign V708260 = V981312 + 1. assign V641040 = V321087. assign V189615 = V661233. assign V184367 = V678136. assign V125994 = V242712 - 1. assign V764385 = V759452 + 1. assign V996874 = V288671 + 1. assign V361190 = V380966 + 1. assign V834278 = V245077. assign V935083 = V420818 + 1. assign V750021 = V242712 - 1. assign V412384 = V593180 + 1. assign V736766 = V678136 - 1. assign V281241 = V288671 - 1. assign V321087 = V661233 + 1. assign V409196 = V551831 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V472584 = V369973 + 1. assign V283361 = V455599 + 1. assign V404431 = V246326 - 1. assign V191042 = V199754 - 1. assign V097984 = V791722. assign V288671 = V189615 - 1. assign V490884 = V184367. assign V081317 = V661233 - 1. assign V242712 = V593180 + 1. assign V461227 = V791722 - 1. assign V047099 = V661233 - 1. assign V214278 = V461227 + 1. assign V268141 = V214278 - 1. assign V369973 = V981312 + 1. assign V969449 = V981312 - 1. assign V948577 = V507671 - 1. assign V981312 = V764385 + 1. assign V245077 = V123273 + 1. assign V852106 = V764385 + 1. assign V907634 = V549914 - 1. assign V131801 = V283361 + 1. assign V131217 = V362878 + 1. assign V246326 = V981312 - 1. assign V409801 = V123273 - 1. assign V670953 = V770187 + 1. assign V964708 = V125994. assign V585156 = V948577. assign V575057 = V380966 + 1. assign V248014 = 2. assign V233555 = V661233. assign V362878 = V283361. assign V393378 = V047099 + 1. assign V125517 = V852106 - 1. assign V791722 = V661233 - 1. assign V551831 = V364625. assign V760011 = V455599. assign V286462 = V393378 + 1. assign V123273 = V759452 + 1. assign V623083 = V770187 - 1. assign V070105 = V759452 - 1. assign V887078 = V455599 + 1. assign V759452 = V678136 - 1. assign V246009 = V380966 - 1. assign V503789 = V371684. assign V199754 = V364625 - 1. assign V661233 = V759452. assign V364625 = V184367 - 1. assign V794474 = V248014 - 1. assign V742630 = V125994 - 1. assign V507671 = V060902 - 1. assign V177592 = V948577. assign V060902 = V472584 + 1. assign V420818 = V764385 + 1. assign V269699 = V575057 + 1. assign V770187 = V184367. assign V549914 = V964708 + 1. assign V326583 = V551831 + 1. assign V253733 = V191042. assign V322744 = V641040 + 1. assign V495209 = V593180 + 1. assign V455599 = V759452 - 1. assign V380966 = V770187. assign V371684 = V380966 + 1. assign V743805 = V770187. assign V593180 = V759452. assign V297920 = V750021. assign V219526 = V593180. assign V811437 = V791722 - 1. assign V360686 = V283361. assign V853602 = V981312 + 1. assign V708260 = V981312 + 1. assign V641040 = V321087. assign V189615 = V661233. assign V184367 = V678136. assign V125994 = V242712 - 1. assign V764385 = V759452 + 1. assign V996874 = V288671 + 1. assign V361190 = V380966 + 1. assign V834278 = V245077. assign V935083 = V420818 + 1. assign V750021 = V242712 - 1. assign V412384 = V593180 + 1. assign V736766 = V678136 - 1. assign V281241 = V288671 - 1. assign V321087 = V661233 + 1. assign V409196 = V551831 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV248014 = 2;\n\nFrom these direct assignment(s), we have: \nV794474 = V248014 - 1 = 2 - 1 =1;\nNo other variables can be derived from V794474;\nNo other variables can be derived from V248014;\n\nNow we have done all the calculations. Derived variables are:\nV248014 = 2;\nV794474 = 1;\n\nNow we have finished this problem. ANSWER:\nV794474\n", "role": "assistant" } ]

[ "V007167" ]

[ { "content": "<context>\nassign V328575 = V910979 - 1. assign V968749 = V354195 - 1. assign V464014 = V354195 - 1. assign V440189 = V215188. assign V981530 = V545425. assign V353830 = V545425 - 1. assign V991986 = V506527 - 1. assign V104815 = V545425 - 1. assign V418736 = V205674 - 1. assign V423025 = V851245 - 1. assign V993924 = V087788. assign V337316 = V617857 + 1. assign V890581 = V675584 - 1. assign V716708 = V215188 - 1. assign V191056 = V765541. assign V132838 = V354195. assign V957737 = V079193. assign V400644 = V740801 + 1. assign V323856 = V413792. assign V445934 = V400644. assign V162377 = V418736 - 1. assign V482068 = V959536 + 1. assign V479146 = V740801 + 1. assign V819637 = V551199 + 1. assign V180635 = V323856 - 1. assign V560750 = V677870 - 1. assign V007167 = V775743 + 1. assign V560005 = V353830 - 1. assign V122119 = V851245. assign V740801 = V111115 + 1. assign V344123 = V506527. assign V763564 = V085719 + 1. assign V470752 = V005475 + 1. assign V413792 = V638954 - 1. assign V903593 = V215188 - 1. assign V630445 = V575523 + 1. assign V590423 = V334990 + 1. assign V334990 = V851245 + 1. assign V339267 = V079193 - 1. assign V938467 = V551199. assign V309363 = V170350 - 1. assign V740416 = V506527 + 1. assign V392313 = V959536 - 1. assign V638954 = V740801 - 1. assign V765541 = V148609 + 1. assign V925546 = V938467 + 1. assign V790014 = V467046 - 1. assign V005475 = V506527 - 1. assign V386807 = V148609 + 1. assign V205674 = V765541 - 1. assign V467046 = V506527 + 1. assign V513489 = V423025. assign V606505 = V677870 + 1. assign V015336 = V606505 - 1. assign V472981 = V903593 + 1. assign V152822 = V851245 + 1. assign V545425 = V079193 - 1. assign V377842 = V205674 + 1. assign V575523 = V191056 + 1. assign V357665 = V606505 - 1. assign V111115 = V386807 + 1. assign V551199 = V354195 + 1. assign V675584 = V418736 + 1. assign V215188 = V765541. assign V767259 = V506527 + 1. assign V506849 = V464014 - 1. assign V813773 = V467046 + 1. assign V775743 = 10. assign V170350 = V423025. assign V095645 = V104815 + 1. assign V617857 = V890581 - 1. assign V851245 = V765541 - 1. assign V354195 = V851245. assign V087788 = V191056 - 1. assign V072733 = V354195 - 1. assign V121428 = V418736 + 1. assign V545982 = V423025 + 1. assign V959536 = V545425 - 1. assign V506527 = V386807 - 1. assign V184584 = V467046 - 1. assign V910979 = V606505. assign V079193 = V765541. assign V401695 = V148609 + 1. assign V677870 = V545425. assign V085719 = V413792. assign V890043 = V162377 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V328575 = V910979 - 1. assign V968749 = V354195 - 1. assign V464014 = V354195 - 1. assign V440189 = V215188. assign V981530 = V545425. assign V353830 = V545425 - 1. assign V991986 = V506527 - 1. assign V104815 = V545425 - 1. assign V418736 = V205674 - 1. assign V423025 = V851245 - 1. assign V993924 = V087788. assign V337316 = V617857 + 1. assign V890581 = V675584 - 1. assign V716708 = V215188 - 1. assign V191056 = V765541. assign V132838 = V354195. assign V957737 = V079193. assign V400644 = V740801 + 1. assign V323856 = V413792. assign V445934 = V400644. assign V162377 = V418736 - 1. assign V482068 = V959536 + 1. assign V479146 = V740801 + 1. assign V819637 = V551199 + 1. assign V180635 = V323856 - 1. assign V560750 = V677870 - 1. assign V007167 = V775743 + 1. assign V560005 = V353830 - 1. assign V122119 = V851245. assign V740801 = V111115 + 1. assign V344123 = V506527. assign V763564 = V085719 + 1. assign V470752 = V005475 + 1. assign V413792 = V638954 - 1. assign V903593 = V215188 - 1. assign V630445 = V575523 + 1. assign V590423 = V334990 + 1. assign V334990 = V851245 + 1. assign V339267 = V079193 - 1. assign V938467 = V551199. assign V309363 = V170350 - 1. assign V740416 = V506527 + 1. assign V392313 = V959536 - 1. assign V638954 = V740801 - 1. assign V765541 = V148609 + 1. assign V925546 = V938467 + 1. assign V790014 = V467046 - 1. assign V005475 = V506527 - 1. assign V386807 = V148609 + 1. assign V205674 = V765541 - 1. assign V467046 = V506527 + 1. assign V513489 = V423025. assign V606505 = V677870 + 1. assign V015336 = V606505 - 1. assign V472981 = V903593 + 1. assign V152822 = V851245 + 1. assign V545425 = V079193 - 1. assign V377842 = V205674 + 1. assign V575523 = V191056 + 1. assign V357665 = V606505 - 1. assign V111115 = V386807 + 1. assign V551199 = V354195 + 1. assign V675584 = V418736 + 1. assign V215188 = V765541. assign V767259 = V506527 + 1. assign V506849 = V464014 - 1. assign V813773 = V467046 + 1. assign V775743 = 10. assign V170350 = V423025. assign V095645 = V104815 + 1. assign V617857 = V890581 - 1. assign V851245 = V765541 - 1. assign V354195 = V851245. assign V087788 = V191056 - 1. assign V072733 = V354195 - 1. assign V121428 = V418736 + 1. assign V545982 = V423025 + 1. assign V959536 = V545425 - 1. assign V506527 = V386807 - 1. assign V184584 = V467046 - 1. assign V910979 = V606505. assign V079193 = V765541. assign V401695 = V148609 + 1. assign V677870 = V545425. assign V085719 = V413792. assign V890043 = V162377 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV775743 = 10;\n\nFrom these direct assignment(s), we have: \nV007167 = V775743 + 1 = 10 + 1 =11;\nNo other variables can be derived from V007167;\nNo other variables can be derived from V775743;\n\nNow we have done all the calculations. Derived variables are:\nV775743 = 10;\nV007167 = 11;\n\nNow we have finished this problem. ANSWER:\nV007167\n", "role": "assistant" } ]

[ "V153160" ]

[ { "content": "<context>\nassign V905150 = V343492. assign V058235 = V705106 - 1. assign V705106 = V124015. assign V343492 = V077699 + 1. assign V976610 = V340223. assign V413469 = V124015. assign V695832 = V432895 - 1. assign V751458 = V941223. assign V715320 = V561527 - 1. assign V826832 = V081811 - 1. assign V275910 = V413469 - 1. assign V929425 = V522462 + 1. assign V446037 = V941223 + 1. assign V750389 = V715320 - 1. assign V651152 = V392046 - 1. assign V366800 = V561527 + 1. assign V173565 = V796616. assign V007355 = V235318 + 1. assign V607903 = V561527 - 1. assign V310611 = V392046. assign V398608 = V561527. assign V168477 = V905150. assign V723088 = V310611. assign V416107 = V647420 + 1. assign V960952 = V522462. assign V069282 = V398608 + 1. assign V046559 = V622689. assign V889951 = V077699. assign V124015 = V392046 + 1. assign V953481 = V498927. assign V061001 = V392046 + 1. assign V941223 = V108337 - 1. assign V134513 = V889951 + 1. assign V242290 = V124015 + 1. assign V883432 = V607903 - 1. assign V647420 = V800787. assign V622689 = V715320 - 1. assign V340223 = V300209 + 1. assign V441697 = V815421 + 1. assign V912656 = V275910. assign V576465 = V607903 + 1. assign V581837 = V108337 + 1. assign V432895 = V561527 - 1. assign V800787 = V815421. assign V796616 = V815421 + 1. assign V065411 = 2. assign V575761 = V750389 - 1. assign V882749 = V275910 - 1. assign V300209 = V235318 - 1. assign V086355 = V705106 - 1. assign V246955 = V912656. assign V856348 = V300209 + 1. assign V850040 = V069282. assign V262879 = V124015 - 1. assign V058127 = V366800 - 1. assign V416231 = V883432 + 1. assign V108337 = V705106 - 1. assign V153160 = V065411 + 1. assign V815978 = V575761 - 1. assign V077699 = V960952 + 1. assign V498927 = V815421. assign V745651 = V310611 + 1. assign V561527 = V392046. assign V993857 = V392046 + 1. assign V631397 = V976610. assign V678520 = V993857 - 1. assign V347918 = V077699 + 1. assign V586215 = V856348. assign V235318 = V647420 - 1. assign V893106 = V607903 - 1. assign V522462 = V647420. assign V562694 = V077699 - 1. assign V580478 = V446037 + 1. assign V066384 = V750389. assign V479811 = V815421 + 1. assign V360511 = V607903 + 1. assign V510848 = V941223. assign V014686 = V960952. assign V787587 = V058235 + 1. assign V857560 = V081811. assign V206349 = V522462 + 1. assign V392046 = V647420. assign V640228 = V929425 - 1. assign V081811 = V066384. assign V998701 = V826832 - 1. assign V240992 = V510848 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V905150 = V343492. assign V058235 = V705106 - 1. assign V705106 = V124015. assign V343492 = V077699 + 1. assign V976610 = V340223. assign V413469 = V124015. assign V695832 = V432895 - 1. assign V751458 = V941223. assign V715320 = V561527 - 1. assign V826832 = V081811 - 1. assign V275910 = V413469 - 1. assign V929425 = V522462 + 1. assign V446037 = V941223 + 1. assign V750389 = V715320 - 1. assign V651152 = V392046 - 1. assign V366800 = V561527 + 1. assign V173565 = V796616. assign V007355 = V235318 + 1. assign V607903 = V561527 - 1. assign V310611 = V392046. assign V398608 = V561527. assign V168477 = V905150. assign V723088 = V310611. assign V416107 = V647420 + 1. assign V960952 = V522462. assign V069282 = V398608 + 1. assign V046559 = V622689. assign V889951 = V077699. assign V124015 = V392046 + 1. assign V953481 = V498927. assign V061001 = V392046 + 1. assign V941223 = V108337 - 1. assign V134513 = V889951 + 1. assign V242290 = V124015 + 1. assign V883432 = V607903 - 1. assign V647420 = V800787. assign V622689 = V715320 - 1. assign V340223 = V300209 + 1. assign V441697 = V815421 + 1. assign V912656 = V275910. assign V576465 = V607903 + 1. assign V581837 = V108337 + 1. assign V432895 = V561527 - 1. assign V800787 = V815421. assign V796616 = V815421 + 1. assign V065411 = 2. assign V575761 = V750389 - 1. assign V882749 = V275910 - 1. assign V300209 = V235318 - 1. assign V086355 = V705106 - 1. assign V246955 = V912656. assign V856348 = V300209 + 1. assign V850040 = V069282. assign V262879 = V124015 - 1. assign V058127 = V366800 - 1. assign V416231 = V883432 + 1. assign V108337 = V705106 - 1. assign V153160 = V065411 + 1. assign V815978 = V575761 - 1. assign V077699 = V960952 + 1. assign V498927 = V815421. assign V745651 = V310611 + 1. assign V561527 = V392046. assign V993857 = V392046 + 1. assign V631397 = V976610. assign V678520 = V993857 - 1. assign V347918 = V077699 + 1. assign V586215 = V856348. assign V235318 = V647420 - 1. assign V893106 = V607903 - 1. assign V522462 = V647420. assign V562694 = V077699 - 1. assign V580478 = V446037 + 1. assign V066384 = V750389. assign V479811 = V815421 + 1. assign V360511 = V607903 + 1. assign V510848 = V941223. assign V014686 = V960952. assign V787587 = V058235 + 1. assign V857560 = V081811. assign V206349 = V522462 + 1. assign V392046 = V647420. assign V640228 = V929425 - 1. assign V081811 = V066384. assign V998701 = V826832 - 1. assign V240992 = V510848 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV065411 = 2;\n\nFrom these direct assignment(s), we have: \nV153160 = V065411 + 1 = 2 + 1 =3;\nNo other variables can be derived from V153160;\nNo other variables can be derived from V065411;\n\nNow we have done all the calculations. Derived variables are:\nV065411 = 2;\nV153160 = 3;\n\nNow we have finished this problem. ANSWER:\nV153160\n", "role": "assistant" } ]

[ "V101349" ]

[ { "content": "<context>\nassign V139986 = V814042. assign V449661 = V174578 - 1. assign V194041 = V728274 - 1. assign V169431 = V749915 + 1. assign V464496 = V121953 + 1. assign V780036 = V121953 - 1. assign V837747 = V749915 + 1. assign V273917 = V108716 - 1. assign V124046 = V600589. assign V244157 = V541256 + 1. assign V987968 = V096068 - 1. assign V119699 = V087422 - 1. assign V169714 = V279734 + 1. assign V749915 = V096068 - 1. assign V338703 = V898033 + 1. assign V728274 = V480606 - 1. assign V208754 = V367457. assign V814042 = V142441 + 1. assign V108716 = V820829 + 1. assign V259470 = V480606 - 1. assign V974325 = V725035 - 1. assign V192711 = V820829 - 1. assign V725035 = V131174 - 1. assign V648576 = V094997 + 1. assign V488769 = V987968 + 1. assign V616549 = V464496. assign V553117 = V820829 - 1. assign V946237 = V915724. assign V096068 = V784417. assign V482113 = V133266 + 1. assign V121953 = V837747 + 1. assign V569254 = V363831. assign V452672 = V119699 - 1. assign V085500 = V600589 + 1. assign V385638 = V174578. assign V869157 = V101349 + 1. assign V919751 = V820829 - 1. assign V363831 = V244157 - 1. assign V725880 = V211461 + 1. assign V915724 = V179461 + 1. assign V557342 = V837747. assign V900013 = V526510 - 1. assign V722712 = V601053. assign V898031 = V987968. assign V479940 = V367457. assign V903596 = V208754 + 1. assign V924142 = V820829 - 1. assign V179461 = V814042 + 1. assign V142441 = V096068. assign V737434 = V749915. assign V780609 = V784417 - 1. assign V008817 = V087422 + 1. assign V541256 = V820829 + 1. assign V848647 = V121953 + 1. assign V094997 = V244157 - 1. assign V101349 = 5. assign V611004 = V728274. assign V705776 = V192711. assign V133266 = V725035 + 1. assign V360216 = V480606. assign V823313 = V601053. assign V823767 = V616549 + 1. assign V211461 = V479940. assign V433207 = V087422. assign V648479 = V616549 - 1. assign V526510 = V480606 + 1. assign V583342 = V898033 + 1. assign V480606 = V479940 + 1. assign V872671 = V780609 - 1. assign V600589 = V211461 - 1. assign V279734 = V616549 + 1. assign V060773 = V583342 + 1. assign V131174 = V557342 + 1. assign V174578 = V208754 + 1. assign V601053 = V211461. assign V820829 = V208754 - 1. assign V776037 = V611004. assign V096289 = V600589 - 1. assign V316776 = V208754. assign V898033 = V367457. assign V478555 = V898033 - 1. assign V087422 = V526510 - 1. assign V891396 = V316776. assign V112548 = V506681 - 1. assign V506681 = V820829. assign V784417 = V480606.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V139986 = V814042. assign V449661 = V174578 - 1. assign V194041 = V728274 - 1. assign V169431 = V749915 + 1. assign V464496 = V121953 + 1. assign V780036 = V121953 - 1. assign V837747 = V749915 + 1. assign V273917 = V108716 - 1. assign V124046 = V600589. assign V244157 = V541256 + 1. assign V987968 = V096068 - 1. assign V119699 = V087422 - 1. assign V169714 = V279734 + 1. assign V749915 = V096068 - 1. assign V338703 = V898033 + 1. assign V728274 = V480606 - 1. assign V208754 = V367457. assign V814042 = V142441 + 1. assign V108716 = V820829 + 1. assign V259470 = V480606 - 1. assign V974325 = V725035 - 1. assign V192711 = V820829 - 1. assign V725035 = V131174 - 1. assign V648576 = V094997 + 1. assign V488769 = V987968 + 1. assign V616549 = V464496. assign V553117 = V820829 - 1. assign V946237 = V915724. assign V096068 = V784417. assign V482113 = V133266 + 1. assign V121953 = V837747 + 1. assign V569254 = V363831. assign V452672 = V119699 - 1. assign V085500 = V600589 + 1. assign V385638 = V174578. assign V869157 = V101349 + 1. assign V919751 = V820829 - 1. assign V363831 = V244157 - 1. assign V725880 = V211461 + 1. assign V915724 = V179461 + 1. assign V557342 = V837747. assign V900013 = V526510 - 1. assign V722712 = V601053. assign V898031 = V987968. assign V479940 = V367457. assign V903596 = V208754 + 1. assign V924142 = V820829 - 1. assign V179461 = V814042 + 1. assign V142441 = V096068. assign V737434 = V749915. assign V780609 = V784417 - 1. assign V008817 = V087422 + 1. assign V541256 = V820829 + 1. assign V848647 = V121953 + 1. assign V094997 = V244157 - 1. assign V101349 = 5. assign V611004 = V728274. assign V705776 = V192711. assign V133266 = V725035 + 1. assign V360216 = V480606. assign V823313 = V601053. assign V823767 = V616549 + 1. assign V211461 = V479940. assign V433207 = V087422. assign V648479 = V616549 - 1. assign V526510 = V480606 + 1. assign V583342 = V898033 + 1. assign V480606 = V479940 + 1. assign V872671 = V780609 - 1. assign V600589 = V211461 - 1. assign V279734 = V616549 + 1. assign V060773 = V583342 + 1. assign V131174 = V557342 + 1. assign V174578 = V208754 + 1. assign V601053 = V211461. assign V820829 = V208754 - 1. assign V776037 = V611004. assign V096289 = V600589 - 1. assign V316776 = V208754. assign V898033 = V367457. assign V478555 = V898033 - 1. assign V087422 = V526510 - 1. assign V891396 = V316776. assign V112548 = V506681 - 1. assign V506681 = V820829. assign V784417 = V480606.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV101349 = 5;\n\nFrom these direct assignment(s), we have: \nV869157 = V101349 + 1 = 5 + 1 =6;\nNo other variables can be derived from V869157;\nNo other variables can be derived from V101349;\n\nNow we have done all the calculations. Derived variables are:\nV101349 = 5;\nV869157 = 6;\n\nNow we have finished this problem. ANSWER:\nV101349\n", "role": "assistant" } ]

[ "V717074" ]

[ { "content": "<context>\nassign V769881 = V655985 + 1. assign V985164 = V066654. assign V058008 = V378540 + 1. assign V256446 = V769245 + 1. assign V340186 = V883228. assign V769245 = V924765 + 1. assign V365877 = V391031. assign V950841 = V529988 - 1. assign V964514 = V862366 + 1. assign V441775 = V722734 + 1. assign V353261 = V127306 + 1. assign V066654 = V489743. assign V665306 = V596108. assign V806970 = V924765. assign V655985 = V862366 - 1. assign V722734 = V448772 - 1. assign V196937 = V429301. assign V868057 = V985164 + 1. assign V519811 = V529988 + 1. assign V156134 = V256446 + 1. assign V552706 = V563665. assign V391031 = V655985 - 1. assign V862366 = V806970 - 1. assign V353351 = V769245. assign V582009 = V340186 + 1. assign V429301 = V424869 - 1. assign V358138 = V196937 + 1. assign V628796 = V769881. assign V848781 = V600397. assign V246047 = V529988 + 1. assign V478933 = V769245 + 1. assign V600397 = V353351 + 1. assign V497061 = V458445 - 1. assign V716080 = V358138. assign V402381 = V665306. assign V272651 = V769881 + 1. assign V398612 = V610992. assign V723020 = V769881 + 1. assign V563665 = V441775 + 1. assign V346192 = V306877 - 1. assign V704507 = V470433 + 1. assign V610992 = V077486. assign V319879 = V655985 + 1. assign V458455 = V196937. assign V703315 = V424869. assign V448772 = V924765 - 1. assign V637360 = V470433 - 1. assign V154534 = V723020 - 1. assign V883228 = V769245 + 1. assign V458445 = V924765. assign V924765 = V489743 + 1. assign V879950 = V637360 - 1. assign V378540 = V128023 + 1. assign V127306 = V687880. assign V848993 = V806970 + 1. assign V717074 = V597301 - 1. assign V458086 = V883228. assign V596108 = V154534. assign V966406 = V886925 + 1. assign V795664 = V196937 - 1. assign V687880 = V020148 + 1. assign V141598 = V966353 + 1. assign V245111 = V319879 - 1. assign V799934 = V769881 + 1. assign V597301 = 10. assign V966353 = V924765. assign V862238 = V795664 - 1. assign V470433 = V806970 + 1. assign V988560 = V058008 - 1. assign V129349 = V966353. assign V336673 = V346192. assign V537515 = V353351 + 1. assign V529988 = V924765 - 1. assign V306877 = V489743 - 1. assign V128023 = V020148. assign V124385 = V245111 + 1. assign V020148 = V806970 - 1. assign V457713 = V470433 - 1. assign V707730 = V563665 - 1. assign V315663 = V272651. assign V424869 = V769245 - 1. assign V037664 = V883228. assign V077486 = V306877. assign V389675 = V628796 - 1. assign V822232 = V319879. assign V886925 = V077486 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V769881 = V655985 + 1. assign V985164 = V066654. assign V058008 = V378540 + 1. assign V256446 = V769245 + 1. assign V340186 = V883228. assign V769245 = V924765 + 1. assign V365877 = V391031. assign V950841 = V529988 - 1. assign V964514 = V862366 + 1. assign V441775 = V722734 + 1. assign V353261 = V127306 + 1. assign V066654 = V489743. assign V665306 = V596108. assign V806970 = V924765. assign V655985 = V862366 - 1. assign V722734 = V448772 - 1. assign V196937 = V429301. assign V868057 = V985164 + 1. assign V519811 = V529988 + 1. assign V156134 = V256446 + 1. assign V552706 = V563665. assign V391031 = V655985 - 1. assign V862366 = V806970 - 1. assign V353351 = V769245. assign V582009 = V340186 + 1. assign V429301 = V424869 - 1. assign V358138 = V196937 + 1. assign V628796 = V769881. assign V848781 = V600397. assign V246047 = V529988 + 1. assign V478933 = V769245 + 1. assign V600397 = V353351 + 1. assign V497061 = V458445 - 1. assign V716080 = V358138. assign V402381 = V665306. assign V272651 = V769881 + 1. assign V398612 = V610992. assign V723020 = V769881 + 1. assign V563665 = V441775 + 1. assign V346192 = V306877 - 1. assign V704507 = V470433 + 1. assign V610992 = V077486. assign V319879 = V655985 + 1. assign V458455 = V196937. assign V703315 = V424869. assign V448772 = V924765 - 1. assign V637360 = V470433 - 1. assign V154534 = V723020 - 1. assign V883228 = V769245 + 1. assign V458445 = V924765. assign V924765 = V489743 + 1. assign V879950 = V637360 - 1. assign V378540 = V128023 + 1. assign V127306 = V687880. assign V848993 = V806970 + 1. assign V717074 = V597301 - 1. assign V458086 = V883228. assign V596108 = V154534. assign V966406 = V886925 + 1. assign V795664 = V196937 - 1. assign V687880 = V020148 + 1. assign V141598 = V966353 + 1. assign V245111 = V319879 - 1. assign V799934 = V769881 + 1. assign V597301 = 10. assign V966353 = V924765. assign V862238 = V795664 - 1. assign V470433 = V806970 + 1. assign V988560 = V058008 - 1. assign V129349 = V966353. assign V336673 = V346192. assign V537515 = V353351 + 1. assign V529988 = V924765 - 1. assign V306877 = V489743 - 1. assign V128023 = V020148. assign V124385 = V245111 + 1. assign V020148 = V806970 - 1. assign V457713 = V470433 - 1. assign V707730 = V563665 - 1. assign V315663 = V272651. assign V424869 = V769245 - 1. assign V037664 = V883228. assign V077486 = V306877. assign V389675 = V628796 - 1. assign V822232 = V319879. assign V886925 = V077486 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV597301 = 10;\n\nFrom these direct assignment(s), we have: \nV717074 = V597301 - 1 = 10 - 1 =9;\nNo other variables can be derived from V717074;\nNo other variables can be derived from V597301;\n\nNow we have done all the calculations. Derived variables are:\nV597301 = 10;\nV717074 = 9;\n\nNow we have finished this problem. ANSWER:\nV717074\n", "role": "assistant" } ]

[ "V775136", "V308291" ]

[ { "content": "<context>\nassign V097048 = V535944 - 1. assign V582934 = V570693. assign V929338 = V400735. assign V659477 = V294141 + 1. assign V216656 = V190318 + 1. assign V189932 = V682028. assign V223269 = V823532 + 1. assign V193861 = V381803. assign V481352 = V241047 + 1. assign V114568 = V686137. assign V101016 = V381803 - 1. assign V167029 = V904388 + 1. assign V050930 = V535944. assign V241047 = V129667 - 1. assign V751361 = V904388 - 1. assign V535944 = V760952 + 1. assign V401436 = V994165. assign V248810 = V362452. assign V172262 = V130864 + 1. assign V308291 = V775136. assign V394778 = V823532. assign V850738 = V639642 - 1. assign V904388 = V400735. assign V857991 = V097048. assign V310400 = V659477. assign V155314 = V760952. assign V290531 = V362452. assign V379062 = V361007 - 1. assign V358200 = V193861 - 1. assign V362452 = V400735 + 1. assign V176990 = V129667 + 1. assign V606248 = V859003 - 1. assign V100351 = V076227. assign V113120 = V760952 + 1. assign V760952 = V290531. assign V183618 = V904388 - 1. assign V677865 = V751361. assign V361007 = V535944. assign V271484 = V097048 - 1. assign V626057 = V362452 - 1. assign V823532 = V167029 + 1. assign V256692 = V857991. assign V639642 = V129667. assign V554254 = V760952 - 1. assign V076227 = V570693 - 1. assign V503541 = V076227. assign V925462 = V823532 - 1. assign V962045 = V626057 - 1. assign V415558 = V216656. assign V588882 = V076227. assign V981474 = V076227 + 1. assign V130864 = V929338 - 1. assign V775136 = 4. assign V381803 = V859003 - 1. assign V580826 = V290531. assign V682028 = V113120. assign V714291 = V400735. assign V589973 = V554254. assign V294141 = V362452. assign V450250 = V400735 + 1. assign V480254 = V167029 - 1. assign V129667 = V904388. assign V859003 = V294141 - 1. assign V994165 = V751361 + 1. assign V518111 = V973958 - 1. assign V879434 = V241047 - 1. assign V162487 = V400735 + 1. assign V774723 = V097048 - 1. assign V123803 = V925462. assign V641069 = V130864 - 1. assign V355071 = V686137 + 1. assign V095574 = V400735. assign V914761 = V248810 + 1. assign V879981 = V659477. assign V954830 = V113120 + 1. assign V979947 = V362452 + 1. assign V107850 = V973958 + 1. assign V002327 = V126652 + 1. assign V619125 = V400735. assign V570693 = V400735. assign V126652 = V751361. assign V190318 = V362452 + 1. assign V329820 = V760952 - 1. assign V973958 = V619125 + 1. assign V686137 = V107850 + 1. assign V492578 = V570693 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V097048 = V535944 - 1. assign V582934 = V570693. assign V929338 = V400735. assign V659477 = V294141 + 1. assign V216656 = V190318 + 1. assign V189932 = V682028. assign V223269 = V823532 + 1. assign V193861 = V381803. assign V481352 = V241047 + 1. assign V114568 = V686137. assign V101016 = V381803 - 1. assign V167029 = V904388 + 1. assign V050930 = V535944. assign V241047 = V129667 - 1. assign V751361 = V904388 - 1. assign V535944 = V760952 + 1. assign V401436 = V994165. assign V248810 = V362452. assign V172262 = V130864 + 1. assign V308291 = V775136. assign V394778 = V823532. assign V850738 = V639642 - 1. assign V904388 = V400735. assign V857991 = V097048. assign V310400 = V659477. assign V155314 = V760952. assign V290531 = V362452. assign V379062 = V361007 - 1. assign V358200 = V193861 - 1. assign V362452 = V400735 + 1. assign V176990 = V129667 + 1. assign V606248 = V859003 - 1. assign V100351 = V076227. assign V113120 = V760952 + 1. assign V760952 = V290531. assign V183618 = V904388 - 1. assign V677865 = V751361. assign V361007 = V535944. assign V271484 = V097048 - 1. assign V626057 = V362452 - 1. assign V823532 = V167029 + 1. assign V256692 = V857991. assign V639642 = V129667. assign V554254 = V760952 - 1. assign V076227 = V570693 - 1. assign V503541 = V076227. assign V925462 = V823532 - 1. assign V962045 = V626057 - 1. assign V415558 = V216656. assign V588882 = V076227. assign V981474 = V076227 + 1. assign V130864 = V929338 - 1. assign V775136 = 4. assign V381803 = V859003 - 1. assign V580826 = V290531. assign V682028 = V113120. assign V714291 = V400735. assign V589973 = V554254. assign V294141 = V362452. assign V450250 = V400735 + 1. assign V480254 = V167029 - 1. assign V129667 = V904388. assign V859003 = V294141 - 1. assign V994165 = V751361 + 1. assign V518111 = V973958 - 1. assign V879434 = V241047 - 1. assign V162487 = V400735 + 1. assign V774723 = V097048 - 1. assign V123803 = V925462. assign V641069 = V130864 - 1. assign V355071 = V686137 + 1. assign V095574 = V400735. assign V914761 = V248810 + 1. assign V879981 = V659477. assign V954830 = V113120 + 1. assign V979947 = V362452 + 1. assign V107850 = V973958 + 1. assign V002327 = V126652 + 1. assign V619125 = V400735. assign V570693 = V400735. assign V126652 = V751361. assign V190318 = V362452 + 1. assign V329820 = V760952 - 1. assign V973958 = V619125 + 1. assign V686137 = V107850 + 1. assign V492578 = V570693 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV775136 = 4;\n\nFrom these direct assignment(s), we have: \nV308291 = V775136 = 4;\nNo other variables can be derived from V308291;\nNo other variables can be derived from V775136;\n\nNow we have done all the calculations. Derived variables are:\nV775136 = 4;\nV308291 = 4;\n\nNow we have finished this problem. ANSWER:\nV775136, V308291\n", "role": "assistant" } ]

[ "V968364", "V571344" ]

[ { "content": "<context>\nassign V998675 = V700188. assign V936931 = V056392. assign V467477 = V501997 - 1. assign V019179 = V939630 - 1. assign V629377 = V300715 - 1. assign V781124 = V193544. assign V606355 = V594442 + 1. assign V805885 = V939630 + 1. assign V629358 = V665451 - 1. assign V644241 = V850885. assign V288380 = V850885 + 1. assign V502900 = V665451 + 1. assign V209676 = V019179 - 1. assign V296941 = V489465 - 1. assign V200285 = V781124 - 1. assign V904165 = V642108 - 1. assign V300715 = V891363. assign V396563 = V023954 - 1. assign V745087 = V939630. assign V416851 = V364352 + 1. assign V863567 = V998675 - 1. assign V721805 = V642108 + 1. assign V959327 = V909296 - 1. assign V103281 = V285211 + 1. assign V116062 = V502900 - 1. assign V164780 = V582491. assign V193544 = V998675 + 1. assign V364352 = V800286. assign V490304 = V910651 + 1. assign V891363 = V164780. assign V691986 = V019179 - 1. assign V675294 = V023954 + 1. assign V968364 = 7. assign V285211 = V544675 - 1. assign V632918 = V396563 + 1. assign V489465 = V116062 - 1. assign V179852 = V675294 + 1. assign V909296 = V285211. assign V769331 = V269160 - 1. assign V084174 = V675294 - 1. assign V056392 = V721805 - 1. assign V197949 = V465921 + 1. assign V665451 = V396563 - 1. assign V571344 = V968364. assign V097648 = V300715. assign V010799 = V909296 - 1. assign V332992 = V891363 + 1. assign V269160 = V492164 - 1. assign V582491 = V675294 + 1. assign V112470 = V097648. assign V708044 = V967990. assign V910651 = V939630 + 1. assign V810290 = V800286 + 1. assign V779246 = V285211. assign V501997 = V745087 - 1. assign V942736 = V288380 - 1. assign V585811 = V285211 - 1. assign V465921 = V179852 + 1. assign V313419 = V332992. assign V838220 = V691986 + 1. assign V162656 = V465921 - 1. assign V937836 = V023373 + 1. assign V574634 = V502900 + 1. assign V842719 = V116062 + 1. assign V444543 = V285211 + 1. assign V098079 = V465921. assign V700188 = V023954. assign V750591 = V594442 + 1. assign V720939 = V465921 - 1. assign V394522 = V544675. assign V963307 = V700188. assign V492164 = V023954. assign V634109 = V396563. assign V594442 = V998675. assign V023954 = V285211. assign V642108 = V544675 + 1. assign V063847 = V641790 + 1. assign V967990 = V745087 + 1. assign V939630 = V675294 - 1. assign V891750 = V574634 - 1. assign V800286 = V300715 - 1. assign V416190 = V909296 - 1. assign V850885 = V544675 - 1. assign V641790 = V939630 + 1. assign V784520 = V023954 - 1. assign V023373 = V779246.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V998675 = V700188. assign V936931 = V056392. assign V467477 = V501997 - 1. assign V019179 = V939630 - 1. assign V629377 = V300715 - 1. assign V781124 = V193544. assign V606355 = V594442 + 1. assign V805885 = V939630 + 1. assign V629358 = V665451 - 1. assign V644241 = V850885. assign V288380 = V850885 + 1. assign V502900 = V665451 + 1. assign V209676 = V019179 - 1. assign V296941 = V489465 - 1. assign V200285 = V781124 - 1. assign V904165 = V642108 - 1. assign V300715 = V891363. assign V396563 = V023954 - 1. assign V745087 = V939630. assign V416851 = V364352 + 1. assign V863567 = V998675 - 1. assign V721805 = V642108 + 1. assign V959327 = V909296 - 1. assign V103281 = V285211 + 1. assign V116062 = V502900 - 1. assign V164780 = V582491. assign V193544 = V998675 + 1. assign V364352 = V800286. assign V490304 = V910651 + 1. assign V891363 = V164780. assign V691986 = V019179 - 1. assign V675294 = V023954 + 1. assign V968364 = 7. assign V285211 = V544675 - 1. assign V632918 = V396563 + 1. assign V489465 = V116062 - 1. assign V179852 = V675294 + 1. assign V909296 = V285211. assign V769331 = V269160 - 1. assign V084174 = V675294 - 1. assign V056392 = V721805 - 1. assign V197949 = V465921 + 1. assign V665451 = V396563 - 1. assign V571344 = V968364. assign V097648 = V300715. assign V010799 = V909296 - 1. assign V332992 = V891363 + 1. assign V269160 = V492164 - 1. assign V582491 = V675294 + 1. assign V112470 = V097648. assign V708044 = V967990. assign V910651 = V939630 + 1. assign V810290 = V800286 + 1. assign V779246 = V285211. assign V501997 = V745087 - 1. assign V942736 = V288380 - 1. assign V585811 = V285211 - 1. assign V465921 = V179852 + 1. assign V313419 = V332992. assign V838220 = V691986 + 1. assign V162656 = V465921 - 1. assign V937836 = V023373 + 1. assign V574634 = V502900 + 1. assign V842719 = V116062 + 1. assign V444543 = V285211 + 1. assign V098079 = V465921. assign V700188 = V023954. assign V750591 = V594442 + 1. assign V720939 = V465921 - 1. assign V394522 = V544675. assign V963307 = V700188. assign V492164 = V023954. assign V634109 = V396563. assign V594442 = V998675. assign V023954 = V285211. assign V642108 = V544675 + 1. assign V063847 = V641790 + 1. assign V967990 = V745087 + 1. assign V939630 = V675294 - 1. assign V891750 = V574634 - 1. assign V800286 = V300715 - 1. assign V416190 = V909296 - 1. assign V850885 = V544675 - 1. assign V641790 = V939630 + 1. assign V784520 = V023954 - 1. assign V023373 = V779246.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV968364 = 7;\n\nFrom these direct assignment(s), we have: \nV571344 = V968364 = 7;\nNo other variables can be derived from V571344;\nNo other variables can be derived from V968364;\n\nNow we have done all the calculations. Derived variables are:\nV968364 = 7;\nV571344 = 7;\n\nNow we have finished this problem. ANSWER:\nV968364, V571344\n", "role": "assistant" } ]

[ "V164848", "V986688" ]

[ { "content": "<context>\nassign V449695 = V352158 - 1. assign V009983 = V825094 + 1. assign V328206 = V259625 + 1. assign V349541 = V894340 - 1. assign V383909 = V084125 + 1. assign V883899 = V123722. assign V272252 = V575564 + 1. assign V418496 = V104219 - 1. assign V262963 = V948473. assign V932651 = V084125 - 1. assign V225497 = V259625 + 1. assign V259625 = V908779. assign V366779 = V246064. assign V505769 = V383909 - 1. assign V671571 = V248316 + 1. assign V789110 = V984233 - 1. assign V010103 = V734491 - 1. assign V037587 = V428350. assign V949519 = V948473 - 1. assign V362134 = V575564 - 1. assign V060524 = V428350 + 1. assign V428350 = V947555 - 1. assign V917050 = V084125 - 1. assign V948473 = V602778. assign V810456 = V328206 + 1. assign V986688 = V164848. assign V876899 = V932651. assign V545425 = V734491. assign V669080 = V894340. assign V730552 = V810456 + 1. assign V103357 = V734491 - 1. assign V894340 = V383909 + 1. assign V620226 = V259625 - 1. assign V668275 = V419835 + 1. assign V947568 = V810456 - 1. assign V248316 = V948473 + 1. assign V190411 = V501824 - 1. assign V156877 = V947555 + 1. assign V820921 = V352158. assign V825094 = V820921. assign V908779 = V505769 + 1. assign V067571 = V949519. assign V123722 = V894340. assign V841428 = V428350. assign V790734 = V415306 + 1. assign V159563 = V703628 + 1. assign V602778 = V518075. assign V757100 = V422829 + 1. assign V501824 = V328206. assign V318818 = V894340 + 1. assign V132918 = V419835. assign V941714 = V883899. assign V349383 = V932651 - 1. assign V410633 = V789110 - 1. assign V333423 = V428350 - 1. assign V158259 = V841657 + 1. assign V108388 = V410633. assign V132345 = V668275 - 1. assign V104219 = V284244 + 1. assign V947555 = V084125 - 1. assign V703628 = V883899 + 1. assign V352158 = V505769 + 1. assign V102941 = V825094 - 1. assign V740947 = V949519 - 1. assign V984233 = V825094. assign V852105 = V575564 - 1. assign V415306 = V894340 + 1. assign V734491 = V284244. assign V575564 = V352158. assign V284244 = V349541. assign V256257 = V894340 - 1. assign V841657 = V575564 - 1. assign V117782 = V883899 + 1. assign V382951 = V602778 - 1. assign V422829 = V894340 - 1. assign V419835 = V984233 + 1. assign V815393 = V449695 + 1. assign V707672 = V575564 + 1. assign V534522 = V518075 - 1. assign V730148 = V333423. assign V246064 = V284244 + 1. assign V280423 = V575564 + 1. assign V341497 = V259625. assign V709766 = V825094. assign V164848 = 3. assign V518075 = V894340 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V449695 = V352158 - 1. assign V009983 = V825094 + 1. assign V328206 = V259625 + 1. assign V349541 = V894340 - 1. assign V383909 = V084125 + 1. assign V883899 = V123722. assign V272252 = V575564 + 1. assign V418496 = V104219 - 1. assign V262963 = V948473. assign V932651 = V084125 - 1. assign V225497 = V259625 + 1. assign V259625 = V908779. assign V366779 = V246064. assign V505769 = V383909 - 1. assign V671571 = V248316 + 1. assign V789110 = V984233 - 1. assign V010103 = V734491 - 1. assign V037587 = V428350. assign V949519 = V948473 - 1. assign V362134 = V575564 - 1. assign V060524 = V428350 + 1. assign V428350 = V947555 - 1. assign V917050 = V084125 - 1. assign V948473 = V602778. assign V810456 = V328206 + 1. assign V986688 = V164848. assign V876899 = V932651. assign V545425 = V734491. assign V669080 = V894340. assign V730552 = V810456 + 1. assign V103357 = V734491 - 1. assign V894340 = V383909 + 1. assign V620226 = V259625 - 1. assign V668275 = V419835 + 1. assign V947568 = V810456 - 1. assign V248316 = V948473 + 1. assign V190411 = V501824 - 1. assign V156877 = V947555 + 1. assign V820921 = V352158. assign V825094 = V820921. assign V908779 = V505769 + 1. assign V067571 = V949519. assign V123722 = V894340. assign V841428 = V428350. assign V790734 = V415306 + 1. assign V159563 = V703628 + 1. assign V602778 = V518075. assign V757100 = V422829 + 1. assign V501824 = V328206. assign V318818 = V894340 + 1. assign V132918 = V419835. assign V941714 = V883899. assign V349383 = V932651 - 1. assign V410633 = V789110 - 1. assign V333423 = V428350 - 1. assign V158259 = V841657 + 1. assign V108388 = V410633. assign V132345 = V668275 - 1. assign V104219 = V284244 + 1. assign V947555 = V084125 - 1. assign V703628 = V883899 + 1. assign V352158 = V505769 + 1. assign V102941 = V825094 - 1. assign V740947 = V949519 - 1. assign V984233 = V825094. assign V852105 = V575564 - 1. assign V415306 = V894340 + 1. assign V734491 = V284244. assign V575564 = V352158. assign V284244 = V349541. assign V256257 = V894340 - 1. assign V841657 = V575564 - 1. assign V117782 = V883899 + 1. assign V382951 = V602778 - 1. assign V422829 = V894340 - 1. assign V419835 = V984233 + 1. assign V815393 = V449695 + 1. assign V707672 = V575564 + 1. assign V534522 = V518075 - 1. assign V730148 = V333423. assign V246064 = V284244 + 1. assign V280423 = V575564 + 1. assign V341497 = V259625. assign V709766 = V825094. assign V164848 = 3. assign V518075 = V894340 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV164848 = 3;\n\nFrom these direct assignment(s), we have: \nV986688 = V164848 = 3;\nNo other variables can be derived from V986688;\nNo other variables can be derived from V164848;\n\nNow we have done all the calculations. Derived variables are:\nV164848 = 3;\nV986688 = 3;\n\nNow we have finished this problem. ANSWER:\nV164848, V986688\n", "role": "assistant" } ]

[ "V412931" ]

[ { "content": "<context>\nassign V397693 = V681273. assign V025888 = V310808 + 1. assign V291657 = V091905 + 1. assign V876019 = V489439 + 1. assign V046637 = V404367 + 1. assign V489439 = V891773 - 1. assign V253849 = V038129 - 1. assign V798246 = V397693 - 1. assign V061759 = V245321. assign V059767 = V031831. assign V099817 = V631459 + 1. assign V569811 = V245321 - 1. assign V416503 = V905532 - 1. assign V451630 = V271509 + 1. assign V681273 = V631459 + 1. assign V032337 = V631459. assign V822612 = V031831 - 1. assign V388661 = V688689 - 1. assign V884350 = V091905. assign V277892 = V956918. assign V123508 = V884350 - 1. assign V759163 = V631459 - 1. assign V271509 = V956918 + 1. assign V266813 = V798246. assign V245321 = V401765 + 1. assign V587943 = V776796. assign V329873 = V822612 + 1. assign V881176 = V514642 + 1. assign V119589 = V416503. assign V257310 = V415556. assign V178892 = V760805 + 1. assign V230604 = V759163 + 1. assign V130494 = V451630 + 1. assign V401765 = V374899 + 1. assign V280259 = V329873. assign V509060 = V794072 + 1. assign V688689 = V277892. assign V292030 = V158741. assign V031831 = V514642 - 1. assign V566971 = V310808 + 1. assign V448512 = V291657 - 1. assign V062355 = V881176 - 1. assign V374899 = V310808 - 1. assign V752682 = V091905 + 1. assign V544062 = V891773 - 1. assign V760805 = V876019. assign V967766 = V119589. assign V794072 = V245321 + 1. assign V830084 = V514642 + 1. assign V162907 = V130494 - 1. assign V935070 = V123508 + 1. assign V139033 = V569811 + 1. assign V362058 = V030128. assign V905532 = V514642 + 1. assign V030128 = V514642 - 1. assign V514642 = V759163 - 1. assign V404367 = V401765 - 1. assign V021906 = V404367 + 1. assign V310808 = V030128 + 1. assign V796871 = V015322 - 1. assign V429367 = V984811 + 1. assign V403480 = V374899 + 1. assign V773651 = V032337 - 1. assign V956918 = V514642. assign V517667 = V277892 - 1. assign V867583 = V245321. assign V015322 = V031831. assign V626391 = V984811 - 1. assign V891773 = V266813. assign V412931 = V098198 - 1. assign V312132 = V374899. assign V311990 = V310808 + 1. assign V473019 = V967766 + 1. assign V984811 = V956918. assign V304480 = V798246 - 1. assign V489580 = V891773 + 1. assign V645529 = V158741. assign V158741 = V230604. assign V038129 = V514642 - 1. assign V098198 = 9. assign V989732 = V822612. assign V955883 = V569811 + 1. assign V091905 = V688689. assign V146478 = V123508 - 1. assign V776796 = V881176 + 1. assign V415556 = V091905 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V397693 = V681273. assign V025888 = V310808 + 1. assign V291657 = V091905 + 1. assign V876019 = V489439 + 1. assign V046637 = V404367 + 1. assign V489439 = V891773 - 1. assign V253849 = V038129 - 1. assign V798246 = V397693 - 1. assign V061759 = V245321. assign V059767 = V031831. assign V099817 = V631459 + 1. assign V569811 = V245321 - 1. assign V416503 = V905532 - 1. assign V451630 = V271509 + 1. assign V681273 = V631459 + 1. assign V032337 = V631459. assign V822612 = V031831 - 1. assign V388661 = V688689 - 1. assign V884350 = V091905. assign V277892 = V956918. assign V123508 = V884350 - 1. assign V759163 = V631459 - 1. assign V271509 = V956918 + 1. assign V266813 = V798246. assign V245321 = V401765 + 1. assign V587943 = V776796. assign V329873 = V822612 + 1. assign V881176 = V514642 + 1. assign V119589 = V416503. assign V257310 = V415556. assign V178892 = V760805 + 1. assign V230604 = V759163 + 1. assign V130494 = V451630 + 1. assign V401765 = V374899 + 1. assign V280259 = V329873. assign V509060 = V794072 + 1. assign V688689 = V277892. assign V292030 = V158741. assign V031831 = V514642 - 1. assign V566971 = V310808 + 1. assign V448512 = V291657 - 1. assign V062355 = V881176 - 1. assign V374899 = V310808 - 1. assign V752682 = V091905 + 1. assign V544062 = V891773 - 1. assign V760805 = V876019. assign V967766 = V119589. assign V794072 = V245321 + 1. assign V830084 = V514642 + 1. assign V162907 = V130494 - 1. assign V935070 = V123508 + 1. assign V139033 = V569811 + 1. assign V362058 = V030128. assign V905532 = V514642 + 1. assign V030128 = V514642 - 1. assign V514642 = V759163 - 1. assign V404367 = V401765 - 1. assign V021906 = V404367 + 1. assign V310808 = V030128 + 1. assign V796871 = V015322 - 1. assign V429367 = V984811 + 1. assign V403480 = V374899 + 1. assign V773651 = V032337 - 1. assign V956918 = V514642. assign V517667 = V277892 - 1. assign V867583 = V245321. assign V015322 = V031831. assign V626391 = V984811 - 1. assign V891773 = V266813. assign V412931 = V098198 - 1. assign V312132 = V374899. assign V311990 = V310808 + 1. assign V473019 = V967766 + 1. assign V984811 = V956918. assign V304480 = V798246 - 1. assign V489580 = V891773 + 1. assign V645529 = V158741. assign V158741 = V230604. assign V038129 = V514642 - 1. assign V098198 = 9. assign V989732 = V822612. assign V955883 = V569811 + 1. assign V091905 = V688689. assign V146478 = V123508 - 1. assign V776796 = V881176 + 1. assign V415556 = V091905 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV098198 = 9;\n\nFrom these direct assignment(s), we have: \nV412931 = V098198 - 1 = 9 - 1 =8;\nNo other variables can be derived from V412931;\nNo other variables can be derived from V098198;\n\nNow we have done all the calculations. Derived variables are:\nV098198 = 9;\nV412931 = 8;\n\nNow we have finished this problem. ANSWER:\nV412931\n", "role": "assistant" } ]

[ "V863593" ]

[ { "content": "<context>\nassign V811657 = V850697 + 1. assign V477922 = V329796. assign V636601 = V718308 + 1. assign V389458 = V479968 + 1. assign V517441 = V289371. assign V711261 = V811657 + 1. assign V725941 = V079780 + 1. assign V157891 = V449426. assign V377015 = V619124 - 1. assign V032812 = V718308. assign V195159 = V289371. assign V609531 = V032812 + 1. assign V876233 = V214538. assign V784037 = V718308 - 1. assign V652393 = V609531 + 1. assign V027290 = V106634 + 1. assign V745800 = V554775 - 1. assign V946872 = V585551 + 1. assign V645621 = V444624 - 1. assign V904335 = V446754. assign V787394 = V554775 + 1. assign V498035 = V636601 + 1. assign V846310 = V554775 + 1. assign V845642 = V063192. assign V479968 = V957185. assign V171318 = V904335. assign V957185 = V850697 - 1. assign V652459 = V106634. assign V311228 = V846310. assign V609275 = V745800. assign V805532 = V311228 - 1. assign V094180 = V097933. assign V554775 = V032812. assign V927335 = V737197 - 1. assign V079780 = V097933. assign V654608 = V745800 + 1. assign V444624 = V784037 + 1. assign V996945 = V097933 + 1. assign V616742 = V214487. assign V097933 = V334395 - 1. assign V329796 = V718308 - 1. assign V363799 = V784037 - 1. assign V053022 = V619124 + 1. assign V287452 = V311228 - 1. assign V849779 = V690772 + 1. assign V011563 = V876233. assign V619124 = V846310 - 1. assign V467215 = V214538 - 1. assign V201949 = V311228 - 1. assign V585551 = V063192 + 1. assign V214538 = V718308 + 1. assign V068422 = V850697 + 1. assign V449426 = V690772 - 1. assign V976378 = V105593 + 1. assign V214487 = V363799. assign V738645 = V339021 + 1. assign V382945 = V467215 + 1. assign V581752 = V311228. assign V546737 = V629588 + 1. assign V629588 = V467215 + 1. assign V639224 = V554775. assign V063192 = V619124 - 1. assign V733791 = V011344 + 1. assign V273135 = V068422 - 1. assign V343543 = V654608. assign V690772 = V214538 + 1. assign V737197 = V745800 - 1. assign V104312 = V097933 + 1. assign V339021 = V718308. assign V356512 = V105593. assign V662699 = V846310 + 1. assign V581220 = V846310 - 1. assign V591783 = V063192 + 1. assign V853033 = V214538 + 1. assign V760040 = V157891. assign V334395 = V846310. assign V106634 = V745800. assign V850697 = V718308 - 1. assign V446754 = V363799 + 1. assign V011344 = V645621. assign V045152 = 8. assign V863593 = V045152 + 1. assign V839747 = V097933. assign V338996 = V195159 - 1. assign V289371 = V363799 - 1. assign V105593 = V329796 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V811657 = V850697 + 1. assign V477922 = V329796. assign V636601 = V718308 + 1. assign V389458 = V479968 + 1. assign V517441 = V289371. assign V711261 = V811657 + 1. assign V725941 = V079780 + 1. assign V157891 = V449426. assign V377015 = V619124 - 1. assign V032812 = V718308. assign V195159 = V289371. assign V609531 = V032812 + 1. assign V876233 = V214538. assign V784037 = V718308 - 1. assign V652393 = V609531 + 1. assign V027290 = V106634 + 1. assign V745800 = V554775 - 1. assign V946872 = V585551 + 1. assign V645621 = V444624 - 1. assign V904335 = V446754. assign V787394 = V554775 + 1. assign V498035 = V636601 + 1. assign V846310 = V554775 + 1. assign V845642 = V063192. assign V479968 = V957185. assign V171318 = V904335. assign V957185 = V850697 - 1. assign V652459 = V106634. assign V311228 = V846310. assign V609275 = V745800. assign V805532 = V311228 - 1. assign V094180 = V097933. assign V554775 = V032812. assign V927335 = V737197 - 1. assign V079780 = V097933. assign V654608 = V745800 + 1. assign V444624 = V784037 + 1. assign V996945 = V097933 + 1. assign V616742 = V214487. assign V097933 = V334395 - 1. assign V329796 = V718308 - 1. assign V363799 = V784037 - 1. assign V053022 = V619124 + 1. assign V287452 = V311228 - 1. assign V849779 = V690772 + 1. assign V011563 = V876233. assign V619124 = V846310 - 1. assign V467215 = V214538 - 1. assign V201949 = V311228 - 1. assign V585551 = V063192 + 1. assign V214538 = V718308 + 1. assign V068422 = V850697 + 1. assign V449426 = V690772 - 1. assign V976378 = V105593 + 1. assign V214487 = V363799. assign V738645 = V339021 + 1. assign V382945 = V467215 + 1. assign V581752 = V311228. assign V546737 = V629588 + 1. assign V629588 = V467215 + 1. assign V639224 = V554775. assign V063192 = V619124 - 1. assign V733791 = V011344 + 1. assign V273135 = V068422 - 1. assign V343543 = V654608. assign V690772 = V214538 + 1. assign V737197 = V745800 - 1. assign V104312 = V097933 + 1. assign V339021 = V718308. assign V356512 = V105593. assign V662699 = V846310 + 1. assign V581220 = V846310 - 1. assign V591783 = V063192 + 1. assign V853033 = V214538 + 1. assign V760040 = V157891. assign V334395 = V846310. assign V106634 = V745800. assign V850697 = V718308 - 1. assign V446754 = V363799 + 1. assign V011344 = V645621. assign V045152 = 8. assign V863593 = V045152 + 1. assign V839747 = V097933. assign V338996 = V195159 - 1. assign V289371 = V363799 - 1. assign V105593 = V329796 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV045152 = 8;\n\nFrom these direct assignment(s), we have: \nV863593 = V045152 + 1 = 8 + 1 =9;\nNo other variables can be derived from V863593;\nNo other variables can be derived from V045152;\n\nNow we have done all the calculations. Derived variables are:\nV045152 = 8;\nV863593 = 9;\n\nNow we have finished this problem. ANSWER:\nV863593\n", "role": "assistant" } ]

[ "V113497", "V503939" ]

[ { "content": "<context>\nassign V241338 = V439968 - 1. assign V271528 = V493300. assign V029360 = V937123. assign V268527 = V572899 - 1. assign V735817 = V687461. assign V496689 = V131834 + 1. assign V900189 = V325950 + 1. assign V687461 = V937123 + 1. assign V241851 = V184724. assign V580643 = V137926. assign V836164 = V131834 - 1. assign V231680 = V474334. assign V790486 = V131834 - 1. assign V750793 = V149618 - 1. assign V724228 = V868775. assign V288464 = V687461 - 1. assign V881473 = V687461 + 1. assign V889155 = V511742. assign V701657 = V296851. assign V113497 = 3. assign V426477 = V649381 - 1. assign V527792 = V687461 - 1. assign V095185 = V801383. assign V157293 = V935493 - 1. assign V024207 = V935493 + 1. assign V296851 = V687461 + 1. assign V768120 = V815278 + 1. assign V503939 = V113497. assign V955778 = V572899 - 1. assign V676259 = V572899 - 1. assign V819269 = V496689 - 1. assign V671049 = V288464. assign V137926 = V288464 - 1. assign V939945 = V376053 - 1. assign V439104 = V184724 - 1. assign V325950 = V369972. assign V125020 = V231680 + 1. assign V452808 = V369972 + 1. assign V698126 = V131834. assign V803923 = V439104. assign V933077 = V325950 - 1. assign V649381 = V493300. assign V815278 = V369972 + 1. assign V493300 = V131834 + 1. assign V160215 = V050484 - 1. assign V084453 = V511742. assign V238587 = V496689. assign V669261 = V288464. assign V131834 = V369972. assign V804764 = V131834 - 1. assign V392576 = V376053 - 1. assign V013375 = V572899 + 1. assign V474334 = V698126. assign V014219 = V439104 - 1. assign V087694 = V392576. assign V247257 = V705288 - 1. assign V149618 = V687461 - 1. assign V273937 = V325950. assign V410019 = V705288 - 1. assign V369972 = V937123 - 1. assign V958118 = V029360 + 1. assign V511742 = V937123 - 1. assign V662685 = V413859 - 1. assign V572899 = V131834 + 1. assign V935493 = V050484 + 1. assign V800245 = V937123 - 1. assign V301820 = V933077 - 1. assign V110545 = V724228. assign V178211 = V084453 - 1. assign V708997 = V580643 + 1. assign V376053 = V131834 + 1. assign V134455 = V050484 + 1. assign V050484 = V439968. assign V439968 = V937123. assign V597763 = V698126 + 1. assign V117140 = V572899 + 1. assign V703901 = V084453 - 1. assign V413859 = V241851 - 1. assign V801383 = V271528. assign V605152 = V698126 + 1. assign V398419 = V376053 - 1. assign V705288 = V676259. assign V184724 = V698126 - 1. assign V348390 = V676259 - 1. assign V728895 = V110545. assign V868775 = V369972 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V241338 = V439968 - 1. assign V271528 = V493300. assign V029360 = V937123. assign V268527 = V572899 - 1. assign V735817 = V687461. assign V496689 = V131834 + 1. assign V900189 = V325950 + 1. assign V687461 = V937123 + 1. assign V241851 = V184724. assign V580643 = V137926. assign V836164 = V131834 - 1. assign V231680 = V474334. assign V790486 = V131834 - 1. assign V750793 = V149618 - 1. assign V724228 = V868775. assign V288464 = V687461 - 1. assign V881473 = V687461 + 1. assign V889155 = V511742. assign V701657 = V296851. assign V113497 = 3. assign V426477 = V649381 - 1. assign V527792 = V687461 - 1. assign V095185 = V801383. assign V157293 = V935493 - 1. assign V024207 = V935493 + 1. assign V296851 = V687461 + 1. assign V768120 = V815278 + 1. assign V503939 = V113497. assign V955778 = V572899 - 1. assign V676259 = V572899 - 1. assign V819269 = V496689 - 1. assign V671049 = V288464. assign V137926 = V288464 - 1. assign V939945 = V376053 - 1. assign V439104 = V184724 - 1. assign V325950 = V369972. assign V125020 = V231680 + 1. assign V452808 = V369972 + 1. assign V698126 = V131834. assign V803923 = V439104. assign V933077 = V325950 - 1. assign V649381 = V493300. assign V815278 = V369972 + 1. assign V493300 = V131834 + 1. assign V160215 = V050484 - 1. assign V084453 = V511742. assign V238587 = V496689. assign V669261 = V288464. assign V131834 = V369972. assign V804764 = V131834 - 1. assign V392576 = V376053 - 1. assign V013375 = V572899 + 1. assign V474334 = V698126. assign V014219 = V439104 - 1. assign V087694 = V392576. assign V247257 = V705288 - 1. assign V149618 = V687461 - 1. assign V273937 = V325950. assign V410019 = V705288 - 1. assign V369972 = V937123 - 1. assign V958118 = V029360 + 1. assign V511742 = V937123 - 1. assign V662685 = V413859 - 1. assign V572899 = V131834 + 1. assign V935493 = V050484 + 1. assign V800245 = V937123 - 1. assign V301820 = V933077 - 1. assign V110545 = V724228. assign V178211 = V084453 - 1. assign V708997 = V580643 + 1. assign V376053 = V131834 + 1. assign V134455 = V050484 + 1. assign V050484 = V439968. assign V439968 = V937123. assign V597763 = V698126 + 1. assign V117140 = V572899 + 1. assign V703901 = V084453 - 1. assign V413859 = V241851 - 1. assign V801383 = V271528. assign V605152 = V698126 + 1. assign V398419 = V376053 - 1. assign V705288 = V676259. assign V184724 = V698126 - 1. assign V348390 = V676259 - 1. assign V728895 = V110545. assign V868775 = V369972 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV113497 = 3;\n\nFrom these direct assignment(s), we have: \nV503939 = V113497 = 3;\nNo other variables can be derived from V503939;\nNo other variables can be derived from V113497;\n\nNow we have done all the calculations. Derived variables are:\nV113497 = 3;\nV503939 = 3;\n\nNow we have finished this problem. ANSWER:\nV113497, V503939\n", "role": "assistant" } ]

[ "V380435", "V045857" ]

[ { "content": "<context>\nassign V920910 = V906039 + 1. assign V992944 = V191286. assign V560660 = V929841 + 1. assign V419573 = V906039. assign V929841 = V992944 + 1. assign V007951 = V149648. assign V976578 = V393264 - 1. assign V832495 = V330540 - 1. assign V963596 = V793979 - 1. assign V780933 = V219555 + 1. assign V470243 = V007951. assign V100175 = V640862 + 1. assign V586601 = V836718 + 1. assign V713957 = V884327 - 1. assign V096725 = V597677 - 1. assign V793979 = V834598 + 1. assign V884327 = V007951. assign V069901 = V597677 + 1. assign V149648 = V597677. assign V779285 = V981107 + 1. assign V140386 = V640862 + 1. assign V393264 = V597677 + 1. assign V325320 = V515255 - 1. assign V277059 = V722444 + 1. assign V219555 = V640862. assign V914931 = V542342 - 1. assign V836718 = V419573 - 1. assign V156103 = V096725. assign V718423 = V284838. assign V188887 = V752047 + 1. assign V850269 = V929841 + 1. assign V698391 = V105142 + 1. assign V981107 = V191286 + 1. assign V675537 = V976578. assign V409770 = V105088 + 1. assign V605596 = V149648 + 1. assign V401652 = V976578 - 1. assign V330540 = V288436 + 1. assign V854334 = V096725. assign V098128 = V105142 - 1. assign V970842 = V836718 + 1. assign V495438 = V619248 + 1. assign V105142 = V992944 + 1. assign V722962 = V330540. assign V834598 = V149648 + 1. assign V869813 = V981107 + 1. assign V616854 = V640862 + 1. assign V451521 = V675537 + 1. assign V185965 = V914931 - 1. assign V571848 = V897195. assign V955854 = V718423. assign V906039 = V069901. assign V298859 = V419573. assign V493389 = V185965 - 1. assign V747445 = V722444 - 1. assign V221593 = V675537 + 1. assign V501718 = V914931 + 1. assign V144285 = V007951. assign V045857 = V380435. assign V515255 = V284838. assign V975747 = V869813. assign V574938 = V121166 + 1. assign V809883 = V981107. assign V191286 = V597677 + 1. assign V380435 = 4. assign V829123 = V007951 + 1. assign V897195 = V752047 - 1. assign V105088 = V906039. assign V552230 = V780933 - 1. assign V405843 = V850269 + 1. assign V249531 = V809883. assign V752047 = V105142 - 1. assign V448972 = V747445 + 1. assign V106395 = V869813 - 1. assign V461247 = V105088. assign V124033 = V219555 - 1. assign V121166 = V451521 + 1. assign V284838 = V722444 - 1. assign V619248 = V149648. assign V640862 = V597677 - 1. assign V542342 = V393264 - 1. assign V513574 = V981107. assign V722444 = V981107 - 1. assign V288436 = V096725 - 1. assign V316449 = V976578 + 1. assign V403009 = V284838 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V920910 = V906039 + 1. assign V992944 = V191286. assign V560660 = V929841 + 1. assign V419573 = V906039. assign V929841 = V992944 + 1. assign V007951 = V149648. assign V976578 = V393264 - 1. assign V832495 = V330540 - 1. assign V963596 = V793979 - 1. assign V780933 = V219555 + 1. assign V470243 = V007951. assign V100175 = V640862 + 1. assign V586601 = V836718 + 1. assign V713957 = V884327 - 1. assign V096725 = V597677 - 1. assign V793979 = V834598 + 1. assign V884327 = V007951. assign V069901 = V597677 + 1. assign V149648 = V597677. assign V779285 = V981107 + 1. assign V140386 = V640862 + 1. assign V393264 = V597677 + 1. assign V325320 = V515255 - 1. assign V277059 = V722444 + 1. assign V219555 = V640862. assign V914931 = V542342 - 1. assign V836718 = V419573 - 1. assign V156103 = V096725. assign V718423 = V284838. assign V188887 = V752047 + 1. assign V850269 = V929841 + 1. assign V698391 = V105142 + 1. assign V981107 = V191286 + 1. assign V675537 = V976578. assign V409770 = V105088 + 1. assign V605596 = V149648 + 1. assign V401652 = V976578 - 1. assign V330540 = V288436 + 1. assign V854334 = V096725. assign V098128 = V105142 - 1. assign V970842 = V836718 + 1. assign V495438 = V619248 + 1. assign V105142 = V992944 + 1. assign V722962 = V330540. assign V834598 = V149648 + 1. assign V869813 = V981107 + 1. assign V616854 = V640862 + 1. assign V451521 = V675537 + 1. assign V185965 = V914931 - 1. assign V571848 = V897195. assign V955854 = V718423. assign V906039 = V069901. assign V298859 = V419573. assign V493389 = V185965 - 1. assign V747445 = V722444 - 1. assign V221593 = V675537 + 1. assign V501718 = V914931 + 1. assign V144285 = V007951. assign V045857 = V380435. assign V515255 = V284838. assign V975747 = V869813. assign V574938 = V121166 + 1. assign V809883 = V981107. assign V191286 = V597677 + 1. assign V380435 = 4. assign V829123 = V007951 + 1. assign V897195 = V752047 - 1. assign V105088 = V906039. assign V552230 = V780933 - 1. assign V405843 = V850269 + 1. assign V249531 = V809883. assign V752047 = V105142 - 1. assign V448972 = V747445 + 1. assign V106395 = V869813 - 1. assign V461247 = V105088. assign V124033 = V219555 - 1. assign V121166 = V451521 + 1. assign V284838 = V722444 - 1. assign V619248 = V149648. assign V640862 = V597677 - 1. assign V542342 = V393264 - 1. assign V513574 = V981107. assign V722444 = V981107 - 1. assign V288436 = V096725 - 1. assign V316449 = V976578 + 1. assign V403009 = V284838 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV380435 = 4;\n\nFrom these direct assignment(s), we have: \nV045857 = V380435 = 4;\nNo other variables can be derived from V045857;\nNo other variables can be derived from V380435;\n\nNow we have done all the calculations. Derived variables are:\nV380435 = 4;\nV045857 = 4;\n\nNow we have finished this problem. ANSWER:\nV380435, V045857\n", "role": "assistant" } ]

[ "V456747" ]

[ { "content": "<context>\nassign V886952 = V792049 + 1. assign V372131 = V510507. assign V022715 = V820580 - 1. assign V685347 = V584259 - 1. assign V813723 = V817595 + 1. assign V224608 = V148824. assign V711788 = V670228 - 1. assign V456747 = 6. assign V423797 = V445875. assign V931288 = V806824. assign V172234 = V108040. assign V545256 = V599822. assign V054731 = V562254. assign V478427 = V741954. assign V048755 = V279737. assign V562254 = V445875 - 1. assign V482724 = V886952 - 1. assign V806824 = V817595. assign V487366 = V198636 + 1. assign V371131 = V157969. assign V278782 = V792049 - 1. assign V719348 = V545256. assign V562025 = V233589 + 1. assign V427518 = V389166 - 1. assign V510507 = V313229 + 1. assign V650308 = V747228. assign V820580 = V643390. assign V358290 = V962247. assign V702391 = V108040. assign V336002 = V599822 + 1. assign V799058 = V389166 - 1. assign V800211 = V233589 - 1. assign V202746 = V629037. assign V861646 = V599822 - 1. assign V198636 = V820580 - 1. assign V935426 = V133203. assign V313229 = V643390. assign V741954 = V962247 + 1. assign V068681 = V702391 - 1. assign V233589 = V643390 - 1. assign V204420 = V456747 - 1. assign V209388 = V806824 - 1. assign V817595 = V510507 - 1. assign V931218 = V233589 + 1. assign V072389 = V278782. assign V077815 = V562025. assign V767073 = V621694. assign V131154 = V843457 + 1. assign V102211 = V198636. assign V477345 = V371235 + 1. assign V157969 = V806824. assign V626858 = V545256. assign V599822 = V313229. assign V850739 = V264583 - 1. assign V133203 = V482724 + 1. assign V445875 = V792049 - 1. assign V056034 = V482724. assign V989127 = V599822 - 1. assign V962247 = V510507. assign V371235 = V817595. assign V933243 = V861646 - 1. assign V444519 = V133203 - 1. assign V645538 = V843457. assign V582415 = V236267 - 1. assign V148824 = V792049. assign V389166 = V817595 - 1. assign V381476 = V637897. assign V629037 = V381476. assign V183633 = V102211. assign V365231 = V628219. assign V822360 = V989127. assign V621694 = V989127. assign V628219 = V621694 + 1. assign V681522 = V989127 + 1. assign V792049 = V861646 - 1. assign V236267 = V645538. assign V788547 = V843457 - 1. assign V637897 = V313229 - 1. assign V279737 = V108040 + 1. assign V108040 = V820580 - 1. assign V670228 = V843457. assign V264583 = V645538 - 1. assign V747228 = V788547 - 1. assign V584259 = V643390 - 1. assign V030966 = V637897 + 1. assign V843457 = V313229 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V886952 = V792049 + 1. assign V372131 = V510507. assign V022715 = V820580 - 1. assign V685347 = V584259 - 1. assign V813723 = V817595 + 1. assign V224608 = V148824. assign V711788 = V670228 - 1. assign V456747 = 6. assign V423797 = V445875. assign V931288 = V806824. assign V172234 = V108040. assign V545256 = V599822. assign V054731 = V562254. assign V478427 = V741954. assign V048755 = V279737. assign V562254 = V445875 - 1. assign V482724 = V886952 - 1. assign V806824 = V817595. assign V487366 = V198636 + 1. assign V371131 = V157969. assign V278782 = V792049 - 1. assign V719348 = V545256. assign V562025 = V233589 + 1. assign V427518 = V389166 - 1. assign V510507 = V313229 + 1. assign V650308 = V747228. assign V820580 = V643390. assign V358290 = V962247. assign V702391 = V108040. assign V336002 = V599822 + 1. assign V799058 = V389166 - 1. assign V800211 = V233589 - 1. assign V202746 = V629037. assign V861646 = V599822 - 1. assign V198636 = V820580 - 1. assign V935426 = V133203. assign V313229 = V643390. assign V741954 = V962247 + 1. assign V068681 = V702391 - 1. assign V233589 = V643390 - 1. assign V204420 = V456747 - 1. assign V209388 = V806824 - 1. assign V817595 = V510507 - 1. assign V931218 = V233589 + 1. assign V072389 = V278782. assign V077815 = V562025. assign V767073 = V621694. assign V131154 = V843457 + 1. assign V102211 = V198636. assign V477345 = V371235 + 1. assign V157969 = V806824. assign V626858 = V545256. assign V599822 = V313229. assign V850739 = V264583 - 1. assign V133203 = V482724 + 1. assign V445875 = V792049 - 1. assign V056034 = V482724. assign V989127 = V599822 - 1. assign V962247 = V510507. assign V371235 = V817595. assign V933243 = V861646 - 1. assign V444519 = V133203 - 1. assign V645538 = V843457. assign V582415 = V236267 - 1. assign V148824 = V792049. assign V389166 = V817595 - 1. assign V381476 = V637897. assign V629037 = V381476. assign V183633 = V102211. assign V365231 = V628219. assign V822360 = V989127. assign V621694 = V989127. assign V628219 = V621694 + 1. assign V681522 = V989127 + 1. assign V792049 = V861646 - 1. assign V236267 = V645538. assign V788547 = V843457 - 1. assign V637897 = V313229 - 1. assign V279737 = V108040 + 1. assign V108040 = V820580 - 1. assign V670228 = V843457. assign V264583 = V645538 - 1. assign V747228 = V788547 - 1. assign V584259 = V643390 - 1. assign V030966 = V637897 + 1. assign V843457 = V313229 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV456747 = 6;\n\nFrom these direct assignment(s), we have: \nV204420 = V456747 - 1 = 6 - 1 =5;\nNo other variables can be derived from V204420;\nNo other variables can be derived from V456747;\n\nNow we have done all the calculations. Derived variables are:\nV456747 = 6;\nV204420 = 5;\n\nNow we have finished this problem. ANSWER:\nV456747\n", "role": "assistant" } ]

[ "V585439" ]

[ { "content": "<context>\nassign V967712 = V834523 + 1. assign V410944 = V327300 + 1. assign V118241 = V357732. assign V733761 = V118241 - 1. assign V577493 = V417758. assign V552278 = V842811 - 1. assign V087523 = V448493. assign V291000 = V834523 - 1. assign V226887 = V712794 + 1. assign V777612 = V437645 - 1. assign V712794 = V357732 - 1. assign V442571 = V242591. assign V422065 = V842811 - 1. assign V467473 = V185554 - 1. assign V547068 = V581735. assign V842811 = V014588 - 1. assign V185673 = V933507 + 1. assign V771860 = V842811 + 1. assign V075124 = V667560 - 1. assign V424364 = V612498 - 1. assign V448493 = V555934 - 1. assign V284787 = V032572 + 1. assign V032572 = V931512 - 1. assign V581735 = V297038. assign V083393 = V450280. assign V445396 = V417758 - 1. assign V100675 = V612498 - 1. assign V554727 = V552278 + 1. assign V570855 = V327300 + 1. assign V555934 = V931512 + 1. assign V500261 = V486949. assign V872123 = V086262 + 1. assign V437645 = V733761. assign V695441 = V667560. assign V479955 = V667575. assign V237874 = V467473 - 1. assign V900186 = V552278 + 1. assign V327300 = V445396. assign V699309 = V752234 + 1. assign V612498 = V445396. assign V667575 = V242591 + 1. assign V357732 = V185554 - 1. assign V242591 = V842811 + 1. assign V808280 = V086262. assign V450903 = V733761 + 1. assign V869302 = V771860 + 1. assign V086262 = V014588 - 1. assign V585439 = 3. assign V722523 = V960061 - 1. assign V185554 = V842811 + 1. assign V720140 = V771860. assign V736070 = V077817 - 1. assign V692401 = V554341. assign V667560 = V834523. assign V211220 = V842811. assign V206299 = V150170 - 1. assign V703997 = V422065. assign V263960 = V014588 + 1. assign V554341 = V118241. assign V297038 = V086262 + 1. assign V752234 = V100675 + 1. assign V486949 = V720140 - 1. assign V450280 = V032572 + 1. assign V280389 = V327300 - 1. assign V933507 = V211220 + 1. assign V779219 = V297038. assign V077817 = V467473. assign V612685 = V703997. assign V232202 = V032572. assign V449753 = V869302. assign V834523 = V014588 - 1. assign V371376 = V842811 - 1. assign V485400 = V931512 - 1. assign V960061 = V552278. assign V834481 = V667575 - 1. assign V836376 = V467473 + 1. assign V016427 = V236268. assign V931512 = V842811. assign V236268 = V014588 - 1. assign V041797 = V500261 + 1. assign V406269 = V555934 + 1. assign V150170 = V577493. assign V358909 = V585439 - 1. assign V093914 = V771860. assign V417758 = V931512 + 1. assign V281722 = V100675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V967712 = V834523 + 1. assign V410944 = V327300 + 1. assign V118241 = V357732. assign V733761 = V118241 - 1. assign V577493 = V417758. assign V552278 = V842811 - 1. assign V087523 = V448493. assign V291000 = V834523 - 1. assign V226887 = V712794 + 1. assign V777612 = V437645 - 1. assign V712794 = V357732 - 1. assign V442571 = V242591. assign V422065 = V842811 - 1. assign V467473 = V185554 - 1. assign V547068 = V581735. assign V842811 = V014588 - 1. assign V185673 = V933507 + 1. assign V771860 = V842811 + 1. assign V075124 = V667560 - 1. assign V424364 = V612498 - 1. assign V448493 = V555934 - 1. assign V284787 = V032572 + 1. assign V032572 = V931512 - 1. assign V581735 = V297038. assign V083393 = V450280. assign V445396 = V417758 - 1. assign V100675 = V612498 - 1. assign V554727 = V552278 + 1. assign V570855 = V327300 + 1. assign V555934 = V931512 + 1. assign V500261 = V486949. assign V872123 = V086262 + 1. assign V437645 = V733761. assign V695441 = V667560. assign V479955 = V667575. assign V237874 = V467473 - 1. assign V900186 = V552278 + 1. assign V327300 = V445396. assign V699309 = V752234 + 1. assign V612498 = V445396. assign V667575 = V242591 + 1. assign V357732 = V185554 - 1. assign V242591 = V842811 + 1. assign V808280 = V086262. assign V450903 = V733761 + 1. assign V869302 = V771860 + 1. assign V086262 = V014588 - 1. assign V585439 = 3. assign V722523 = V960061 - 1. assign V185554 = V842811 + 1. assign V720140 = V771860. assign V736070 = V077817 - 1. assign V692401 = V554341. assign V667560 = V834523. assign V211220 = V842811. assign V206299 = V150170 - 1. assign V703997 = V422065. assign V263960 = V014588 + 1. assign V554341 = V118241. assign V297038 = V086262 + 1. assign V752234 = V100675 + 1. assign V486949 = V720140 - 1. assign V450280 = V032572 + 1. assign V280389 = V327300 - 1. assign V933507 = V211220 + 1. assign V779219 = V297038. assign V077817 = V467473. assign V612685 = V703997. assign V232202 = V032572. assign V449753 = V869302. assign V834523 = V014588 - 1. assign V371376 = V842811 - 1. assign V485400 = V931512 - 1. assign V960061 = V552278. assign V834481 = V667575 - 1. assign V836376 = V467473 + 1. assign V016427 = V236268. assign V931512 = V842811. assign V236268 = V014588 - 1. assign V041797 = V500261 + 1. assign V406269 = V555934 + 1. assign V150170 = V577493. assign V358909 = V585439 - 1. assign V093914 = V771860. assign V417758 = V931512 + 1. assign V281722 = V100675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV585439 = 3;\n\nFrom these direct assignment(s), we have: \nV358909 = V585439 - 1 = 3 - 1 =2;\nNo other variables can be derived from V358909;\nNo other variables can be derived from V585439;\n\nNow we have done all the calculations. Derived variables are:\nV585439 = 3;\nV358909 = 2;\n\nNow we have finished this problem. ANSWER:\nV585439\n", "role": "assistant" } ]

[ "V138372", "V080339" ]

[ { "content": "<context>\nassign V475324 = V316456 - 1. assign V200036 = V707688 - 1. assign V122302 = V892990 - 1. assign V712334 = V565489. assign V937904 = V316456. assign V558939 = V375908. assign V707688 = V554767 + 1. assign V037111 = V483734 - 1. assign V014534 = V346564. assign V565918 = V966066. assign V351578 = V892990. assign V281081 = V475324 - 1. assign V203131 = V070575. assign V554767 = V680986 - 1. assign V487875 = V466587 - 1. assign V788932 = V792486. assign V080339 = V138372. assign V955883 = V554767 + 1. assign V182489 = V707688 - 1. assign V531424 = V466587. assign V858833 = V565489 + 1. assign V808824 = V466587. assign V200454 = V438167 - 1. assign V709740 = V966066. assign V470686 = V265279 + 1. assign V998369 = V265279. assign V244561 = V531424 + 1. assign V807836 = V565489 - 1. assign V680986 = V565489 + 1. assign V483734 = V491306. assign V310939 = V707688 - 1. assign V572622 = V680986 + 1. assign V004233 = V405845 - 1. assign V265279 = V137064 + 1. assign V438167 = V281081 - 1. assign V375908 = V396071 - 1. assign V603087 = V466587 + 1. assign V702263 = V707688 - 1. assign V359406 = V603087 - 1. assign V847928 = V896332. assign V483288 = V014534 - 1. assign V792486 = V137064 - 1. assign V902926 = V487875 - 1. assign V783667 = V893962. assign V679164 = V330410 - 1. assign V565489 = V137064 - 1. assign V937012 = V807836 + 1. assign V098268 = V554767. assign V495769 = V913422 - 1. assign V805869 = V603087. assign V070575 = V310939. assign V893962 = V487875 - 1. assign V536788 = V792799 + 1. assign V433834 = V310939. assign V994896 = V300132 + 1. assign V892990 = V265279 - 1. assign V273724 = V966066 + 1. assign V963040 = V565918. assign V422440 = V858833 - 1. assign V466587 = V709740 - 1. assign V882485 = V281081 - 1. assign V792799 = V281081. assign V260137 = V265279 + 1. assign V515740 = V475324 - 1. assign V138372 = 6. assign V733135 = V316456. assign V396071 = V709740 + 1. assign V316456 = V709740 + 1. assign V733996 = V466587. assign V491306 = V572622. assign V790593 = V902926. assign V598668 = V351578 + 1. assign V330410 = V808824. assign V328937 = V558939. assign V966066 = V137064 - 1. assign V435149 = V792799. assign V482473 = V913422 + 1. assign V405845 = V792486 - 1. assign V346564 = V896332 - 1. assign V884724 = V470686 - 1. assign V052942 = V702263. assign V896332 = V316456 + 1. assign V300132 = V808824 - 1. assign V858180 = V893962 - 1. assign V913422 = V265279. assign V869241 = V300132.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V475324 = V316456 - 1. assign V200036 = V707688 - 1. assign V122302 = V892990 - 1. assign V712334 = V565489. assign V937904 = V316456. assign V558939 = V375908. assign V707688 = V554767 + 1. assign V037111 = V483734 - 1. assign V014534 = V346564. assign V565918 = V966066. assign V351578 = V892990. assign V281081 = V475324 - 1. assign V203131 = V070575. assign V554767 = V680986 - 1. assign V487875 = V466587 - 1. assign V788932 = V792486. assign V080339 = V138372. assign V955883 = V554767 + 1. assign V182489 = V707688 - 1. assign V531424 = V466587. assign V858833 = V565489 + 1. assign V808824 = V466587. assign V200454 = V438167 - 1. assign V709740 = V966066. assign V470686 = V265279 + 1. assign V998369 = V265279. assign V244561 = V531424 + 1. assign V807836 = V565489 - 1. assign V680986 = V565489 + 1. assign V483734 = V491306. assign V310939 = V707688 - 1. assign V572622 = V680986 + 1. assign V004233 = V405845 - 1. assign V265279 = V137064 + 1. assign V438167 = V281081 - 1. assign V375908 = V396071 - 1. assign V603087 = V466587 + 1. assign V702263 = V707688 - 1. assign V359406 = V603087 - 1. assign V847928 = V896332. assign V483288 = V014534 - 1. assign V792486 = V137064 - 1. assign V902926 = V487875 - 1. assign V783667 = V893962. assign V679164 = V330410 - 1. assign V565489 = V137064 - 1. assign V937012 = V807836 + 1. assign V098268 = V554767. assign V495769 = V913422 - 1. assign V805869 = V603087. assign V070575 = V310939. assign V893962 = V487875 - 1. assign V536788 = V792799 + 1. assign V433834 = V310939. assign V994896 = V300132 + 1. assign V892990 = V265279 - 1. assign V273724 = V966066 + 1. assign V963040 = V565918. assign V422440 = V858833 - 1. assign V466587 = V709740 - 1. assign V882485 = V281081 - 1. assign V792799 = V281081. assign V260137 = V265279 + 1. assign V515740 = V475324 - 1. assign V138372 = 6. assign V733135 = V316456. assign V396071 = V709740 + 1. assign V316456 = V709740 + 1. assign V733996 = V466587. assign V491306 = V572622. assign V790593 = V902926. assign V598668 = V351578 + 1. assign V330410 = V808824. assign V328937 = V558939. assign V966066 = V137064 - 1. assign V435149 = V792799. assign V482473 = V913422 + 1. assign V405845 = V792486 - 1. assign V346564 = V896332 - 1. assign V884724 = V470686 - 1. assign V052942 = V702263. assign V896332 = V316456 + 1. assign V300132 = V808824 - 1. assign V858180 = V893962 - 1. assign V913422 = V265279. assign V869241 = V300132.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV138372 = 6;\n\nFrom these direct assignment(s), we have: \nV080339 = V138372 = 6;\nNo other variables can be derived from V080339;\nNo other variables can be derived from V138372;\n\nNow we have done all the calculations. Derived variables are:\nV138372 = 6;\nV080339 = 6;\n\nNow we have finished this problem. ANSWER:\nV138372, V080339\n", "role": "assistant" } ]

[ "V924106" ]

[ { "content": "<context>\nassign V645471 = V967855 - 1. assign V548447 = V363255 - 1. assign V048893 = V028539 - 1. assign V601363 = V548447 - 1. assign V967855 = V957782 - 1. assign V010489 = V380847 + 1. assign V331349 = V324738 - 1. assign V416511 = V735383. assign V514479 = V572614 - 1. assign V096362 = V574807 + 1. assign V143155 = V690774. assign V939530 = V779627 + 1. assign V583513 = V336177. assign V735383 = V474305 - 1. assign V957782 = V025684 + 1. assign V977742 = V253342. assign V343878 = V474305. assign V306406 = V988536 - 1. assign V766121 = V957782 - 1. assign V693891 = V921968 + 1. assign V743861 = V988536 + 1. assign V915364 = V604174 + 1. assign V180757 = V858135. assign V572846 = V253342 + 1. assign V988536 = V363255. assign V448371 = V363255 + 1. assign V095307 = V474305. assign V420524 = V704381 - 1. assign V883396 = V954176 - 1. assign V713788 = V143155 + 1. assign V283209 = V135357 - 1. assign V779627 = V474305. assign V985033 = V977742. assign V025684 = V316719 + 1. assign V998604 = V977742. assign V348694 = V909650 + 1. assign V380847 = V025684 - 1. assign V049640 = V136355 + 1. assign V145550 = V025684 - 1. assign V690774 = V363255 - 1. assign V253342 = V363255. assign V928357 = V166300. assign V117487 = V548447. assign V587628 = V574807. assign V834920 = V869145 - 1. assign V954176 = V977742 + 1. assign V324738 = V080768 - 1. assign V135357 = V496155 - 1. assign V869145 = V982057 - 1. assign V336177 = V363255. assign V623855 = V998604 + 1. assign V670619 = V390126. assign V982057 = V998604. assign V614851 = V353759 + 1. assign V721525 = V623855 + 1. assign V509461 = 7. assign V179644 = V623855. assign V379939 = V906752. assign V177614 = V095307 - 1. assign V136355 = V253342 + 1. assign V574807 = V690774 + 1. assign V649825 = V982057 + 1. assign V704381 = V010489 + 1. assign V671884 = V316719 - 1. assign V484174 = V177614 + 1. assign V729020 = V010489 + 1. assign V390126 = V363255 + 1. assign V906752 = V363255. assign V924106 = V509461 - 1. assign V424995 = V645471 - 1. assign V080768 = V316719 - 1. assign V474305 = V316719. assign V166300 = V735383 + 1. assign V858135 = V921968. assign V028539 = V135357 - 1. assign V353759 = V779627 + 1. assign V363255 = V025684 + 1. assign V921968 = V954176. assign V605328 = V954176. assign V909650 = V474305 - 1. assign V496155 = V166300. assign V572614 = V363255 + 1. assign V872837 = V380847 + 1. assign V604174 = V166300 + 1. assign V654301 = V967855 + 1. assign V356287 = V915364.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V645471 = V967855 - 1. assign V548447 = V363255 - 1. assign V048893 = V028539 - 1. assign V601363 = V548447 - 1. assign V967855 = V957782 - 1. assign V010489 = V380847 + 1. assign V331349 = V324738 - 1. assign V416511 = V735383. assign V514479 = V572614 - 1. assign V096362 = V574807 + 1. assign V143155 = V690774. assign V939530 = V779627 + 1. assign V583513 = V336177. assign V735383 = V474305 - 1. assign V957782 = V025684 + 1. assign V977742 = V253342. assign V343878 = V474305. assign V306406 = V988536 - 1. assign V766121 = V957782 - 1. assign V693891 = V921968 + 1. assign V743861 = V988536 + 1. assign V915364 = V604174 + 1. assign V180757 = V858135. assign V572846 = V253342 + 1. assign V988536 = V363255. assign V448371 = V363255 + 1. assign V095307 = V474305. assign V420524 = V704381 - 1. assign V883396 = V954176 - 1. assign V713788 = V143155 + 1. assign V283209 = V135357 - 1. assign V779627 = V474305. assign V985033 = V977742. assign V025684 = V316719 + 1. assign V998604 = V977742. assign V348694 = V909650 + 1. assign V380847 = V025684 - 1. assign V049640 = V136355 + 1. assign V145550 = V025684 - 1. assign V690774 = V363255 - 1. assign V253342 = V363255. assign V928357 = V166300. assign V117487 = V548447. assign V587628 = V574807. assign V834920 = V869145 - 1. assign V954176 = V977742 + 1. assign V324738 = V080768 - 1. assign V135357 = V496155 - 1. assign V869145 = V982057 - 1. assign V336177 = V363255. assign V623855 = V998604 + 1. assign V670619 = V390126. assign V982057 = V998604. assign V614851 = V353759 + 1. assign V721525 = V623855 + 1. assign V509461 = 7. assign V179644 = V623855. assign V379939 = V906752. assign V177614 = V095307 - 1. assign V136355 = V253342 + 1. assign V574807 = V690774 + 1. assign V649825 = V982057 + 1. assign V704381 = V010489 + 1. assign V671884 = V316719 - 1. assign V484174 = V177614 + 1. assign V729020 = V010489 + 1. assign V390126 = V363255 + 1. assign V906752 = V363255. assign V924106 = V509461 - 1. assign V424995 = V645471 - 1. assign V080768 = V316719 - 1. assign V474305 = V316719. assign V166300 = V735383 + 1. assign V858135 = V921968. assign V028539 = V135357 - 1. assign V353759 = V779627 + 1. assign V363255 = V025684 + 1. assign V921968 = V954176. assign V605328 = V954176. assign V909650 = V474305 - 1. assign V496155 = V166300. assign V572614 = V363255 + 1. assign V872837 = V380847 + 1. assign V604174 = V166300 + 1. assign V654301 = V967855 + 1. assign V356287 = V915364.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV509461 = 7;\n\nFrom these direct assignment(s), we have: \nV924106 = V509461 - 1 = 7 - 1 =6;\nNo other variables can be derived from V924106;\nNo other variables can be derived from V509461;\n\nNow we have done all the calculations. Derived variables are:\nV509461 = 7;\nV924106 = 6;\n\nNow we have finished this problem. ANSWER:\nV924106\n", "role": "assistant" } ]

[ "V193839" ]

[ { "content": "<context>\nassign V075637 = V867132. assign V066894 = V021085 + 1. assign V707495 = V867132. assign V190872 = V867132 - 1. assign V930861 = V214900. assign V180347 = V752283 - 1. assign V566602 = V019063 + 1. assign V255742 = V466378 + 1. assign V912203 = V281589 - 1. assign V785042 = V075637 - 1. assign V619086 = V628525. assign V495809 = V078570 + 1. assign V847524 = V281589 - 1. assign V019063 = V858579 - 1. assign V178974 = V847524 - 1. assign V362461 = V769372 - 1. assign V477662 = V096444. assign V211761 = V687234 - 1. assign V023377 = V180347 + 1. assign V482257 = V867132 - 1. assign V486135 = V987990 - 1. assign V214900 = V987990. assign V532730 = V746720. assign V466378 = V250625 - 1. assign V040054 = V019063 + 1. assign V545748 = V508311. assign V078570 = V362461 - 1. assign V798390 = V486021 + 1. assign V012669 = V281589. assign V486021 = V281589 + 1. assign V987990 = V281589. assign V101487 = V012669. assign V746720 = V486135 + 1. assign V687234 = V987990 - 1. assign V992279 = V466378. assign V790699 = V250625 + 1. assign V867132 = V930861 - 1. assign V997546 = V619086 - 1. assign V783718 = V281589 + 1. assign V381632 = V746326. assign V628525 = V281589. assign V455593 = V362461. assign V149723 = V486135 + 1. assign V751592 = V075637 + 1. assign V372050 = V746326. assign V614702 = V026600 + 1. assign V159041 = V596970 - 1. assign V192525 = V930861 - 1. assign V976796 = V040054 + 1. assign V086331 = V118438. assign V128565 = V178817 + 1. assign V444684 = V019063 + 1. assign V178817 = V687234 - 1. assign V947823 = V566602. assign V026600 = V149723 - 1. assign V096444 = V281589 + 1. assign V887237 = 7. assign V858579 = V912203 + 1. assign V087142 = V847524 - 1. assign V283863 = V751592. assign V596970 = V687234. assign V389168 = V211761 + 1. assign V752283 = V281589. assign V060283 = V687234 + 1. assign V118438 = V102653 + 1. assign V418245 = V021085 - 1. assign V250625 = V021085 - 1. assign V508311 = V687234 + 1. assign V864465 = V102653 + 1. assign V102653 = V752283 + 1. assign V746326 = V486021 + 1. assign V614488 = V096444. assign V943738 = V214900. assign V021085 = V281589 - 1. assign V546078 = V907204. assign V559175 = V021085. assign V986613 = V867132 - 1. assign V193839 = V887237 - 1. assign V769372 = V021085. assign V400552 = V102653 + 1. assign V066303 = V214900 - 1. assign V281314 = V021085. assign V907204 = V992279 + 1. assign V905502 = V026600 + 1. assign V636978 = V012669 - 1. assign V877638 = V086331.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V075637 = V867132. assign V066894 = V021085 + 1. assign V707495 = V867132. assign V190872 = V867132 - 1. assign V930861 = V214900. assign V180347 = V752283 - 1. assign V566602 = V019063 + 1. assign V255742 = V466378 + 1. assign V912203 = V281589 - 1. assign V785042 = V075637 - 1. assign V619086 = V628525. assign V495809 = V078570 + 1. assign V847524 = V281589 - 1. assign V019063 = V858579 - 1. assign V178974 = V847524 - 1. assign V362461 = V769372 - 1. assign V477662 = V096444. assign V211761 = V687234 - 1. assign V023377 = V180347 + 1. assign V482257 = V867132 - 1. assign V486135 = V987990 - 1. assign V214900 = V987990. assign V532730 = V746720. assign V466378 = V250625 - 1. assign V040054 = V019063 + 1. assign V545748 = V508311. assign V078570 = V362461 - 1. assign V798390 = V486021 + 1. assign V012669 = V281589. assign V486021 = V281589 + 1. assign V987990 = V281589. assign V101487 = V012669. assign V746720 = V486135 + 1. assign V687234 = V987990 - 1. assign V992279 = V466378. assign V790699 = V250625 + 1. assign V867132 = V930861 - 1. assign V997546 = V619086 - 1. assign V783718 = V281589 + 1. assign V381632 = V746326. assign V628525 = V281589. assign V455593 = V362461. assign V149723 = V486135 + 1. assign V751592 = V075637 + 1. assign V372050 = V746326. assign V614702 = V026600 + 1. assign V159041 = V596970 - 1. assign V192525 = V930861 - 1. assign V976796 = V040054 + 1. assign V086331 = V118438. assign V128565 = V178817 + 1. assign V444684 = V019063 + 1. assign V178817 = V687234 - 1. assign V947823 = V566602. assign V026600 = V149723 - 1. assign V096444 = V281589 + 1. assign V887237 = 7. assign V858579 = V912203 + 1. assign V087142 = V847524 - 1. assign V283863 = V751592. assign V596970 = V687234. assign V389168 = V211761 + 1. assign V752283 = V281589. assign V060283 = V687234 + 1. assign V118438 = V102653 + 1. assign V418245 = V021085 - 1. assign V250625 = V021085 - 1. assign V508311 = V687234 + 1. assign V864465 = V102653 + 1. assign V102653 = V752283 + 1. assign V746326 = V486021 + 1. assign V614488 = V096444. assign V943738 = V214900. assign V021085 = V281589 - 1. assign V546078 = V907204. assign V559175 = V021085. assign V986613 = V867132 - 1. assign V193839 = V887237 - 1. assign V769372 = V021085. assign V400552 = V102653 + 1. assign V066303 = V214900 - 1. assign V281314 = V021085. assign V907204 = V992279 + 1. assign V905502 = V026600 + 1. assign V636978 = V012669 - 1. assign V877638 = V086331.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV887237 = 7;\n\nFrom these direct assignment(s), we have: \nV193839 = V887237 - 1 = 7 - 1 =6;\nNo other variables can be derived from V193839;\nNo other variables can be derived from V887237;\n\nNow we have done all the calculations. Derived variables are:\nV887237 = 7;\nV193839 = 6;\n\nNow we have finished this problem. ANSWER:\nV193839\n", "role": "assistant" } ]

[ "V734276" ]

[ { "content": "<context>\nassign V403715 = V596339. assign V596339 = V407078 - 1. assign V856649 = V606660 + 1. assign V166403 = V953180. assign V191264 = V110718 - 1. assign V267195 = V192405. assign V664561 = V161183. assign V734276 = 3. assign V027642 = V530287 - 1. assign V689690 = V092670 - 1. assign V212795 = V953180 - 1. assign V251140 = V110718. assign V625302 = V669288 + 1. assign V024685 = V921396 - 1. assign V156859 = V524866. assign V394659 = V966997 + 1. assign V669288 = V267195. assign V899993 = V027642. assign V482978 = V710006. assign V530287 = V669288 + 1. assign V359234 = V161183. assign V966997 = V992585 - 1. assign V167187 = V669288. assign V736947 = V985030 - 1. assign V836183 = V589683 + 1. assign V749301 = V411133 + 1. assign V196504 = V684212. assign V827010 = V212795 + 1. assign V710006 = V167187 - 1. assign V920395 = V899993 + 1. assign V181525 = V752061. assign V290348 = V992585. assign V117724 = V403715. assign V192099 = V085066. assign V486630 = V196504. assign V145885 = V840212 + 1. assign V921396 = V267195 + 1. assign V119312 = V167187. assign V685499 = V407078 - 1. assign V589327 = V589683 - 1. assign V606660 = V953180 - 1. assign V999920 = V034305 - 1. assign V262060 = V734276 + 1. assign V248634 = V167187. assign V752061 = V532089. assign V092670 = V117724 - 1. assign V980744 = V669288. assign V593197 = V749301. assign V228012 = V792469. assign V953180 = V016036 - 1. assign V524866 = V669288 + 1. assign V407078 = V192405. assign V615360 = V685499 + 1. assign V639209 = V710006 - 1. assign V603569 = V167187 - 1. assign V161183 = V104237. assign V034305 = V625302. assign V985030 = V615360 + 1. assign V589683 = V104237 + 1. assign V167774 = V606660 + 1. assign V620049 = V167187. assign V608298 = V212795. assign V702970 = V117724 - 1. assign V125531 = V515263 + 1. assign V734966 = V985030. assign V104237 = V263026. assign V992585 = V486630. assign V318137 = V191264. assign V856004 = V166403. assign V156193 = V486630 + 1. assign V085066 = V092670 - 1. assign V792469 = V092670. assign V532089 = V734966. assign V840212 = V684212. assign V110718 = V589683. assign V052068 = V212795 + 1. assign V236301 = V196504. assign V557504 = V263026 - 1. assign V016036 = V167187 + 1. assign V684212 = V104237 + 1. assign V988573 = V625302. assign V842397 = V736947 + 1. assign V192405 = V263026 + 1. assign V695409 = V110718 + 1. assign V411133 = V263026 + 1. assign V515263 = V524866 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V403715 = V596339. assign V596339 = V407078 - 1. assign V856649 = V606660 + 1. assign V166403 = V953180. assign V191264 = V110718 - 1. assign V267195 = V192405. assign V664561 = V161183. assign V734276 = 3. assign V027642 = V530287 - 1. assign V689690 = V092670 - 1. assign V212795 = V953180 - 1. assign V251140 = V110718. assign V625302 = V669288 + 1. assign V024685 = V921396 - 1. assign V156859 = V524866. assign V394659 = V966997 + 1. assign V669288 = V267195. assign V899993 = V027642. assign V482978 = V710006. assign V530287 = V669288 + 1. assign V359234 = V161183. assign V966997 = V992585 - 1. assign V167187 = V669288. assign V736947 = V985030 - 1. assign V836183 = V589683 + 1. assign V749301 = V411133 + 1. assign V196504 = V684212. assign V827010 = V212795 + 1. assign V710006 = V167187 - 1. assign V920395 = V899993 + 1. assign V181525 = V752061. assign V290348 = V992585. assign V117724 = V403715. assign V192099 = V085066. assign V486630 = V196504. assign V145885 = V840212 + 1. assign V921396 = V267195 + 1. assign V119312 = V167187. assign V685499 = V407078 - 1. assign V589327 = V589683 - 1. assign V606660 = V953180 - 1. assign V999920 = V034305 - 1. assign V262060 = V734276 + 1. assign V248634 = V167187. assign V752061 = V532089. assign V092670 = V117724 - 1. assign V980744 = V669288. assign V593197 = V749301. assign V228012 = V792469. assign V953180 = V016036 - 1. assign V524866 = V669288 + 1. assign V407078 = V192405. assign V615360 = V685499 + 1. assign V639209 = V710006 - 1. assign V603569 = V167187 - 1. assign V161183 = V104237. assign V034305 = V625302. assign V985030 = V615360 + 1. assign V589683 = V104237 + 1. assign V167774 = V606660 + 1. assign V620049 = V167187. assign V608298 = V212795. assign V702970 = V117724 - 1. assign V125531 = V515263 + 1. assign V734966 = V985030. assign V104237 = V263026. assign V992585 = V486630. assign V318137 = V191264. assign V856004 = V166403. assign V156193 = V486630 + 1. assign V085066 = V092670 - 1. assign V792469 = V092670. assign V532089 = V734966. assign V840212 = V684212. assign V110718 = V589683. assign V052068 = V212795 + 1. assign V236301 = V196504. assign V557504 = V263026 - 1. assign V016036 = V167187 + 1. assign V684212 = V104237 + 1. assign V988573 = V625302. assign V842397 = V736947 + 1. assign V192405 = V263026 + 1. assign V695409 = V110718 + 1. assign V411133 = V263026 + 1. assign V515263 = V524866 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV734276 = 3;\n\nFrom these direct assignment(s), we have: \nV262060 = V734276 + 1 = 3 + 1 =4;\nNo other variables can be derived from V262060;\nNo other variables can be derived from V734276;\n\nNow we have done all the calculations. Derived variables are:\nV734276 = 3;\nV262060 = 4;\n\nNow we have finished this problem. ANSWER:\nV734276\n", "role": "assistant" } ]

[ "V417018", "V522596" ]

[ { "content": "<context>\nassign V092370 = V748298 + 1. assign V215679 = V934780. assign V936484 = V102139. assign V801486 = V546439. assign V810939 = V734626 + 1. assign V451822 = V578010 + 1. assign V454663 = V801486. assign V740150 = V592021 - 1. assign V450888 = V275406 - 1. assign V491015 = V743111. assign V062510 = V102139 - 1. assign V365794 = V727130 - 1. assign V876086 = V450888. assign V308927 = V222565. assign V922617 = V983196 - 1. assign V738115 = V424050 + 1. assign V174838 = V734626. assign V546439 = V794808. assign V739284 = V801486 - 1. assign V078631 = V119857 + 1. assign V114394 = V794808 - 1. assign V632954 = V368759 - 1. assign V270771 = V477203 + 1. assign V544455 = V114394. assign V424050 = V015982 - 1. assign V487736 = V735222 + 1. assign V479303 = V911406 + 1. assign V547698 = V801486 - 1. assign V954936 = V916779 - 1. assign V494167 = V934780 + 1. assign V786885 = V740150 + 1. assign V787536 = V734626 + 1. assign V522384 = V911406 - 1. assign V727130 = V078631. assign V934780 = V275406. assign V592021 = V114394 - 1. assign V237710 = V477203 - 1. assign V743111 = V275406. assign V208781 = V451822 + 1. assign V020961 = V787536. assign V698666 = V983196 - 1. assign V119857 = V876086. assign V775981 = V394122 - 1. assign V394122 = V275406 + 1. assign V458071 = V222565. assign V466889 = V727130. assign V529500 = V275406. assign V734626 = V794808 - 1. assign V113088 = V394122. assign V222565 = V479303 - 1. assign V916779 = V119857 - 1. assign V578010 = V114394 - 1. assign V785616 = V522384 - 1. assign V177637 = V054371. assign V180641 = V748298. assign V748298 = V119857 + 1. assign V819600 = V876086 + 1. assign V301207 = V275406 - 1. assign V794808 = V394122 + 1. assign V054371 = V748298 - 1. assign V961018 = V450888. assign V380052 = V544455. assign V311780 = V380052 + 1. assign V285072 = V237710 - 1. assign V344792 = V119857 - 1. assign V162485 = V787536 - 1. assign V911406 = V275406 + 1. assign V631590 = V078631. assign V477203 = V275406. assign V311586 = V479303 - 1. assign V889689 = V479303 + 1. assign V738103 = V911406 + 1. assign V417018 = 7. assign V740560 = V102139 + 1. assign V368759 = V743111. assign V129892 = V743111. assign V461768 = V522384 - 1. assign V792524 = V311780. assign V972922 = V983196 - 1. assign V579412 = V801486. assign V102139 = V275406. assign V015982 = V954936 - 1. assign V091855 = V368759 - 1. assign V735222 = V114394 - 1. assign V983196 = V450888 - 1. assign V522596 = V417018.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V092370 = V748298 + 1. assign V215679 = V934780. assign V936484 = V102139. assign V801486 = V546439. assign V810939 = V734626 + 1. assign V451822 = V578010 + 1. assign V454663 = V801486. assign V740150 = V592021 - 1. assign V450888 = V275406 - 1. assign V491015 = V743111. assign V062510 = V102139 - 1. assign V365794 = V727130 - 1. assign V876086 = V450888. assign V308927 = V222565. assign V922617 = V983196 - 1. assign V738115 = V424050 + 1. assign V174838 = V734626. assign V546439 = V794808. assign V739284 = V801486 - 1. assign V078631 = V119857 + 1. assign V114394 = V794808 - 1. assign V632954 = V368759 - 1. assign V270771 = V477203 + 1. assign V544455 = V114394. assign V424050 = V015982 - 1. assign V487736 = V735222 + 1. assign V479303 = V911406 + 1. assign V547698 = V801486 - 1. assign V954936 = V916779 - 1. assign V494167 = V934780 + 1. assign V786885 = V740150 + 1. assign V787536 = V734626 + 1. assign V522384 = V911406 - 1. assign V727130 = V078631. assign V934780 = V275406. assign V592021 = V114394 - 1. assign V237710 = V477203 - 1. assign V743111 = V275406. assign V208781 = V451822 + 1. assign V020961 = V787536. assign V698666 = V983196 - 1. assign V119857 = V876086. assign V775981 = V394122 - 1. assign V394122 = V275406 + 1. assign V458071 = V222565. assign V466889 = V727130. assign V529500 = V275406. assign V734626 = V794808 - 1. assign V113088 = V394122. assign V222565 = V479303 - 1. assign V916779 = V119857 - 1. assign V578010 = V114394 - 1. assign V785616 = V522384 - 1. assign V177637 = V054371. assign V180641 = V748298. assign V748298 = V119857 + 1. assign V819600 = V876086 + 1. assign V301207 = V275406 - 1. assign V794808 = V394122 + 1. assign V054371 = V748298 - 1. assign V961018 = V450888. assign V380052 = V544455. assign V311780 = V380052 + 1. assign V285072 = V237710 - 1. assign V344792 = V119857 - 1. assign V162485 = V787536 - 1. assign V911406 = V275406 + 1. assign V631590 = V078631. assign V477203 = V275406. assign V311586 = V479303 - 1. assign V889689 = V479303 + 1. assign V738103 = V911406 + 1. assign V417018 = 7. assign V740560 = V102139 + 1. assign V368759 = V743111. assign V129892 = V743111. assign V461768 = V522384 - 1. assign V792524 = V311780. assign V972922 = V983196 - 1. assign V579412 = V801486. assign V102139 = V275406. assign V015982 = V954936 - 1. assign V091855 = V368759 - 1. assign V735222 = V114394 - 1. assign V983196 = V450888 - 1. assign V522596 = V417018.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV417018 = 7;\n\nFrom these direct assignment(s), we have: \nV522596 = V417018 = 7;\nNo other variables can be derived from V522596;\nNo other variables can be derived from V417018;\n\nNow we have done all the calculations. Derived variables are:\nV417018 = 7;\nV522596 = 7;\n\nNow we have finished this problem. ANSWER:\nV417018, V522596\n", "role": "assistant" } ]

[ "V311859" ]

[ { "content": "<context>\nassign V965672 = V639677. assign V964336 = V368699. assign V260941 = V368699. assign V403130 = V809161 + 1. assign V513573 = V044975 + 1. assign V809404 = V131252 - 1. assign V060360 = V948253 + 1. assign V347109 = V639677 - 1. assign V009076 = V988009 - 1. assign V130137 = V639677 - 1. assign V255556 = V130137 + 1. assign V181837 = V564934 - 1. assign V948253 = V260941 + 1. assign V274384 = V682661 + 1. assign V131252 = V809161 - 1. assign V639677 = V044975 - 1. assign V292042 = V503664 + 1. assign V105207 = V639677. assign V682661 = V988009. assign V044975 = V119358 + 1. assign V379238 = V274384 - 1. assign V473930 = V300850. assign V446146 = V531952. assign V872804 = V336084 + 1. assign V347837 = V044975 - 1. assign V086455 = V119358. assign V239589 = V009076. assign V754659 = V011446 + 1. assign V336084 = V131252. assign V033304 = V280085. assign V300850 = V316625 - 1. assign V050146 = V316625 + 1. assign V280085 = V086455. assign V011397 = V320456. assign V747467 = V300850 + 1. assign V503664 = V809161 - 1. assign V587680 = V809161. assign V914568 = V086455. assign V570778 = V834804 + 1. assign V834804 = V753901 + 1. assign V988009 = V086455 + 1. assign V647260 = V809404 - 1. assign V875975 = V809161 - 1. assign V088886 = V570778 + 1. assign V869805 = V280085. assign V753901 = V548769 + 1. assign V423465 = V988009. assign V309847 = V639677 - 1. assign V011681 = V747467 - 1. assign V954624 = V988009. assign V866578 = V011397. assign V584053 = V682661. assign V202892 = V473930. assign V521151 = V379238 - 1. assign V346462 = V033304 + 1. assign V011446 = V988009 - 1. assign V696879 = V948253 - 1. assign V093166 = V948253 + 1. assign V146634 = V086455. assign V471664 = V202892. assign V104297 = V782596 + 1. assign V014589 = V044975 - 1. assign V564934 = V503664 - 1. assign V922678 = V694575 - 1. assign V694575 = V014589. assign V460977 = V014589 + 1. assign V311859 = V500668 - 1. assign V368699 = V086455 + 1. assign V977975 = V988009 + 1. assign V395637 = V336084 + 1. assign V858363 = V965672 + 1. assign V500668 = 10. assign V809161 = V044975. assign V500461 = V834804 + 1. assign V531952 = V346462 + 1. assign V071371 = V086455. assign V320456 = V647260 + 1. assign V782596 = V694575. assign V758846 = V011446 + 1. assign V607187 = V347837 + 1. assign V789247 = V809161 + 1. assign V572782 = V071371 - 1. assign V316625 = V044975 - 1. assign V548769 = V694575 - 1. assign V509024 = V809161 - 1. assign V394755 = V260941.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V965672 = V639677. assign V964336 = V368699. assign V260941 = V368699. assign V403130 = V809161 + 1. assign V513573 = V044975 + 1. assign V809404 = V131252 - 1. assign V060360 = V948253 + 1. assign V347109 = V639677 - 1. assign V009076 = V988009 - 1. assign V130137 = V639677 - 1. assign V255556 = V130137 + 1. assign V181837 = V564934 - 1. assign V948253 = V260941 + 1. assign V274384 = V682661 + 1. assign V131252 = V809161 - 1. assign V639677 = V044975 - 1. assign V292042 = V503664 + 1. assign V105207 = V639677. assign V682661 = V988009. assign V044975 = V119358 + 1. assign V379238 = V274384 - 1. assign V473930 = V300850. assign V446146 = V531952. assign V872804 = V336084 + 1. assign V347837 = V044975 - 1. assign V086455 = V119358. assign V239589 = V009076. assign V754659 = V011446 + 1. assign V336084 = V131252. assign V033304 = V280085. assign V300850 = V316625 - 1. assign V050146 = V316625 + 1. assign V280085 = V086455. assign V011397 = V320456. assign V747467 = V300850 + 1. assign V503664 = V809161 - 1. assign V587680 = V809161. assign V914568 = V086455. assign V570778 = V834804 + 1. assign V834804 = V753901 + 1. assign V988009 = V086455 + 1. assign V647260 = V809404 - 1. assign V875975 = V809161 - 1. assign V088886 = V570778 + 1. assign V869805 = V280085. assign V753901 = V548769 + 1. assign V423465 = V988009. assign V309847 = V639677 - 1. assign V011681 = V747467 - 1. assign V954624 = V988009. assign V866578 = V011397. assign V584053 = V682661. assign V202892 = V473930. assign V521151 = V379238 - 1. assign V346462 = V033304 + 1. assign V011446 = V988009 - 1. assign V696879 = V948253 - 1. assign V093166 = V948253 + 1. assign V146634 = V086455. assign V471664 = V202892. assign V104297 = V782596 + 1. assign V014589 = V044975 - 1. assign V564934 = V503664 - 1. assign V922678 = V694575 - 1. assign V694575 = V014589. assign V460977 = V014589 + 1. assign V311859 = V500668 - 1. assign V368699 = V086455 + 1. assign V977975 = V988009 + 1. assign V395637 = V336084 + 1. assign V858363 = V965672 + 1. assign V500668 = 10. assign V809161 = V044975. assign V500461 = V834804 + 1. assign V531952 = V346462 + 1. assign V071371 = V086455. assign V320456 = V647260 + 1. assign V782596 = V694575. assign V758846 = V011446 + 1. assign V607187 = V347837 + 1. assign V789247 = V809161 + 1. assign V572782 = V071371 - 1. assign V316625 = V044975 - 1. assign V548769 = V694575 - 1. assign V509024 = V809161 - 1. assign V394755 = V260941.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV500668 = 10;\n\nFrom these direct assignment(s), we have: \nV311859 = V500668 - 1 = 10 - 1 =9;\nNo other variables can be derived from V311859;\nNo other variables can be derived from V500668;\n\nNow we have done all the calculations. Derived variables are:\nV500668 = 10;\nV311859 = 9;\n\nNow we have finished this problem. ANSWER:\nV311859\n", "role": "assistant" } ]

[ "V022264" ]

[ { "content": "<context>\nassign V168739 = V870324 + 1. assign V870324 = V386367 + 1. assign V147278 = V487632. assign V597107 = V377188 + 1. assign V671721 = V678790 + 1. assign V672344 = V992246. assign V560270 = V971430 - 1. assign V980130 = V784655. assign V260557 = V971430 + 1. assign V487632 = V649319. assign V886302 = V023179 + 1. assign V790442 = V784655 + 1. assign V085381 = V994458. assign V996279 = V705389 + 1. assign V241744 = V015234. assign V967461 = V693054 + 1. assign V933884 = V241744 + 1. assign V824296 = V994458. assign V534601 = V421056 + 1. assign V007384 = V260557 - 1. assign V015234 = V649319 + 1. assign V074091 = V649319 + 1. assign V375567 = V023179 - 1. assign V057303 = V371922 + 1. assign V672820 = V835641 - 1. assign V543009 = V944963 + 1. assign V022368 = V585208 + 1. assign V203409 = V386367 - 1. assign V584762 = V971430 - 1. assign V537446 = V312450 + 1. assign V971430 = V967461. assign V258682 = V322189. assign V375610 = V584762. assign V530408 = V886302. assign V422309 = V373217. assign V994458 = V096323. assign V614846 = V672820 + 1. assign V022264 = V743458 - 1. assign V835641 = V671721 + 1. assign V023179 = V096323 - 1. assign V386367 = V678790 + 1. assign V275665 = V678790 - 1. assign V711869 = V007384. assign V579687 = V373217. assign V414514 = V868664 - 1. assign V141231 = V244885 + 1. assign V914417 = V057303 + 1. assign V121126 = V678790 + 1. assign V421056 = V886302 + 1. assign V373217 = V184839 + 1. assign V611743 = V487632 + 1. assign V281908 = V275665 + 1. assign V705389 = V611743. assign V189963 = V129428 - 1. assign V312450 = V649319 - 1. assign V705530 = V023179 + 1. assign V974737 = V147278. assign V377188 = V649319 + 1. assign V972189 = V184839 - 1. assign V784655 = V868664 + 1. assign V129428 = V487632 + 1. assign V743458 = 6. assign V244885 = V371922 + 1. assign V585208 = V537446. assign V992246 = V425554 + 1. assign V982991 = V121126 + 1. assign V516981 = V784655 - 1. assign V961989 = V312450 + 1. assign V876582 = V516981. assign V425554 = V023179 + 1. assign V371922 = V147278. assign V868664 = V487632. assign V584965 = V371922. assign V233762 = V023179. assign V678790 = V487632. assign V649319 = V693054 + 1. assign V322189 = V784655. assign V041786 = V241744. assign V096323 = V693054. assign V184839 = V996279. assign V099810 = V611743 - 1. assign V005663 = V678790. assign V944963 = V121126. assign V648704 = V611743 - 1. assign V689087 = V543009 - 1. assign V140435 = V275665 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V168739 = V870324 + 1. assign V870324 = V386367 + 1. assign V147278 = V487632. assign V597107 = V377188 + 1. assign V671721 = V678790 + 1. assign V672344 = V992246. assign V560270 = V971430 - 1. assign V980130 = V784655. assign V260557 = V971430 + 1. assign V487632 = V649319. assign V886302 = V023179 + 1. assign V790442 = V784655 + 1. assign V085381 = V994458. assign V996279 = V705389 + 1. assign V241744 = V015234. assign V967461 = V693054 + 1. assign V933884 = V241744 + 1. assign V824296 = V994458. assign V534601 = V421056 + 1. assign V007384 = V260557 - 1. assign V015234 = V649319 + 1. assign V074091 = V649319 + 1. assign V375567 = V023179 - 1. assign V057303 = V371922 + 1. assign V672820 = V835641 - 1. assign V543009 = V944963 + 1. assign V022368 = V585208 + 1. assign V203409 = V386367 - 1. assign V584762 = V971430 - 1. assign V537446 = V312450 + 1. assign V971430 = V967461. assign V258682 = V322189. assign V375610 = V584762. assign V530408 = V886302. assign V422309 = V373217. assign V994458 = V096323. assign V614846 = V672820 + 1. assign V022264 = V743458 - 1. assign V835641 = V671721 + 1. assign V023179 = V096323 - 1. assign V386367 = V678790 + 1. assign V275665 = V678790 - 1. assign V711869 = V007384. assign V579687 = V373217. assign V414514 = V868664 - 1. assign V141231 = V244885 + 1. assign V914417 = V057303 + 1. assign V121126 = V678790 + 1. assign V421056 = V886302 + 1. assign V373217 = V184839 + 1. assign V611743 = V487632 + 1. assign V281908 = V275665 + 1. assign V705389 = V611743. assign V189963 = V129428 - 1. assign V312450 = V649319 - 1. assign V705530 = V023179 + 1. assign V974737 = V147278. assign V377188 = V649319 + 1. assign V972189 = V184839 - 1. assign V784655 = V868664 + 1. assign V129428 = V487632 + 1. assign V743458 = 6. assign V244885 = V371922 + 1. assign V585208 = V537446. assign V992246 = V425554 + 1. assign V982991 = V121126 + 1. assign V516981 = V784655 - 1. assign V961989 = V312450 + 1. assign V876582 = V516981. assign V425554 = V023179 + 1. assign V371922 = V147278. assign V868664 = V487632. assign V584965 = V371922. assign V233762 = V023179. assign V678790 = V487632. assign V649319 = V693054 + 1. assign V322189 = V784655. assign V041786 = V241744. assign V096323 = V693054. assign V184839 = V996279. assign V099810 = V611743 - 1. assign V005663 = V678790. assign V944963 = V121126. assign V648704 = V611743 - 1. assign V689087 = V543009 - 1. assign V140435 = V275665 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV743458 = 6;\n\nFrom these direct assignment(s), we have: \nV022264 = V743458 - 1 = 6 - 1 =5;\nNo other variables can be derived from V022264;\nNo other variables can be derived from V743458;\n\nNow we have done all the calculations. Derived variables are:\nV743458 = 6;\nV022264 = 5;\n\nNow we have finished this problem. ANSWER:\nV022264\n", "role": "assistant" } ]

[ "V759160", "V595815" ]

[ { "content": "<context>\nassign V837420 = V515759 + 1. assign V586228 = V915178 + 1. assign V839585 = V171962. assign V492231 = V130698 - 1. assign V387471 = V915178. assign V130698 = V315404 + 1. assign V959820 = V569708. assign V055671 = V835912 - 1. assign V863788 = V171962 + 1. assign V345648 = V046193. assign V185980 = V053909 - 1. assign V516221 = V835482 + 1. assign V171962 = V915178 + 1. assign V331964 = V516221 - 1. assign V774127 = V915178 - 1. assign V413505 = V046193. assign V579658 = V788605 - 1. assign V647321 = V315404 + 1. assign V793632 = V100360. assign V500607 = V839585 + 1. assign V993025 = V314654 + 1. assign V315404 = V171962. assign V759160 = 3. assign V859281 = V788605. assign V515759 = V837753 - 1. assign V592005 = V171962 + 1. assign V915178 = V837753 + 1. assign V341174 = V403417 + 1. assign V812162 = V660838 - 1. assign V317271 = V586228. assign V024471 = V185980 - 1. assign V358378 = V915178 - 1. assign V476967 = V837753 + 1. assign V861551 = V461575. assign V314654 = V859281 + 1. assign V091055 = V954146. assign V062684 = V842204 - 1. assign V449215 = V392594. assign V569708 = V988566 + 1. assign V988566 = V774127 - 1. assign V417731 = V788605. assign V552713 = V130698 + 1. assign V365775 = V660838 - 1. assign V943260 = V954146 + 1. assign V072608 = V315404 - 1. assign V480072 = V812162 - 1. assign V788605 = V915178 - 1. assign V065702 = V859281 + 1. assign V100360 = V024471 + 1. assign V660838 = V171962. assign V316985 = V091055 - 1. assign V392594 = V185980 + 1. assign V835482 = V476967 - 1. assign V590267 = V358378 + 1. assign V757078 = V908538 - 1. assign V159977 = V315404. assign V969599 = V072608 - 1. assign V403417 = V837753 + 1. assign V036588 = V317271 + 1. assign V835912 = V685516 + 1. assign V129188 = V837753. assign V829181 = V586228. assign V401710 = V774127. assign V595815 = V759160. assign V908538 = V072608 - 1. assign V697630 = V812162. assign V722762 = V837753 - 1. assign V461575 = V276287 + 1. assign V112628 = V685516 - 1. assign V750729 = V516221. assign V429149 = V788605. assign V468633 = V315404 - 1. assign V046193 = V954146 + 1. assign V254439 = V130698 - 1. assign V685516 = V358378 + 1. assign V538698 = V861551. assign V842204 = V835912. assign V276287 = V130698 - 1. assign V053909 = V812162 - 1. assign V900801 = V835482 - 1. assign V705840 = V401710. assign V169577 = V943260 + 1. assign V869150 = V586228. assign V476107 = V387471 - 1. assign V954146 = V685516. assign V018561 = V358378 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V837420 = V515759 + 1. assign V586228 = V915178 + 1. assign V839585 = V171962. assign V492231 = V130698 - 1. assign V387471 = V915178. assign V130698 = V315404 + 1. assign V959820 = V569708. assign V055671 = V835912 - 1. assign V863788 = V171962 + 1. assign V345648 = V046193. assign V185980 = V053909 - 1. assign V516221 = V835482 + 1. assign V171962 = V915178 + 1. assign V331964 = V516221 - 1. assign V774127 = V915178 - 1. assign V413505 = V046193. assign V579658 = V788605 - 1. assign V647321 = V315404 + 1. assign V793632 = V100360. assign V500607 = V839585 + 1. assign V993025 = V314654 + 1. assign V315404 = V171962. assign V759160 = 3. assign V859281 = V788605. assign V515759 = V837753 - 1. assign V592005 = V171962 + 1. assign V915178 = V837753 + 1. assign V341174 = V403417 + 1. assign V812162 = V660838 - 1. assign V317271 = V586228. assign V024471 = V185980 - 1. assign V358378 = V915178 - 1. assign V476967 = V837753 + 1. assign V861551 = V461575. assign V314654 = V859281 + 1. assign V091055 = V954146. assign V062684 = V842204 - 1. assign V449215 = V392594. assign V569708 = V988566 + 1. assign V988566 = V774127 - 1. assign V417731 = V788605. assign V552713 = V130698 + 1. assign V365775 = V660838 - 1. assign V943260 = V954146 + 1. assign V072608 = V315404 - 1. assign V480072 = V812162 - 1. assign V788605 = V915178 - 1. assign V065702 = V859281 + 1. assign V100360 = V024471 + 1. assign V660838 = V171962. assign V316985 = V091055 - 1. assign V392594 = V185980 + 1. assign V835482 = V476967 - 1. assign V590267 = V358378 + 1. assign V757078 = V908538 - 1. assign V159977 = V315404. assign V969599 = V072608 - 1. assign V403417 = V837753 + 1. assign V036588 = V317271 + 1. assign V835912 = V685516 + 1. assign V129188 = V837753. assign V829181 = V586228. assign V401710 = V774127. assign V595815 = V759160. assign V908538 = V072608 - 1. assign V697630 = V812162. assign V722762 = V837753 - 1. assign V461575 = V276287 + 1. assign V112628 = V685516 - 1. assign V750729 = V516221. assign V429149 = V788605. assign V468633 = V315404 - 1. assign V046193 = V954146 + 1. assign V254439 = V130698 - 1. assign V685516 = V358378 + 1. assign V538698 = V861551. assign V842204 = V835912. assign V276287 = V130698 - 1. assign V053909 = V812162 - 1. assign V900801 = V835482 - 1. assign V705840 = V401710. assign V169577 = V943260 + 1. assign V869150 = V586228. assign V476107 = V387471 - 1. assign V954146 = V685516. assign V018561 = V358378 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV759160 = 3;\n\nFrom these direct assignment(s), we have: \nV595815 = V759160 = 3;\nNo other variables can be derived from V595815;\nNo other variables can be derived from V759160;\n\nNow we have done all the calculations. Derived variables are:\nV759160 = 3;\nV595815 = 3;\n\nNow we have finished this problem. ANSWER:\nV759160, V595815\n", "role": "assistant" } ]

[ "V574125" ]

[ { "content": "<context>\nassign V574125 = 4. assign V716762 = V517949. assign V886239 = V712980 + 1. assign V417715 = V731496 + 1. assign V297493 = V330101. assign V204189 = V806119 + 1. assign V166322 = V716762 + 1. assign V390668 = V140619 - 1. assign V879749 = V179740 - 1. assign V517949 = V179740 - 1. assign V211317 = V292106 + 1. assign V535275 = V858473 - 1. assign V502692 = V731496. assign V400007 = V291208 + 1. assign V669495 = V958543 - 1. assign V640029 = V400610 - 1. assign V505285 = V879749. assign V833113 = V422295. assign V334204 = V313920 + 1. assign V712980 = V400610. assign V647685 = V400610. assign V705675 = V483684 + 1. assign V449545 = V182900. assign V600617 = V338607 + 1. assign V483684 = V839382. assign V346832 = V975762 - 1. assign V458442 = V574125 - 1. assign V967874 = V751487 + 1. assign V870303 = V265846 + 1. assign V709813 = V716762. assign V167302 = V179740 + 1. assign V751487 = V088578. assign V088578 = V330101. assign V949820 = V211317 - 1. assign V538600 = V949820 + 1. assign V330101 = V647685 - 1. assign V005949 = V988573. assign V986294 = V852401 + 1. assign V814874 = V751487 + 1. assign V140619 = V455505 - 1. assign V680202 = V806119. assign V806119 = V109831. assign V129023 = V870303 + 1. assign V975762 = V602634 - 1. assign V569120 = V109831 + 1. assign V858473 = V716762. assign V863947 = V179740 - 1. assign V504422 = V179740. assign V455505 = V400610. assign V560560 = V537783. assign V400610 = V422295. assign V607127 = V182900 - 1. assign V709283 = V011235 - 1. assign V179740 = V109831. assign V182900 = V879749. assign V280848 = V505285 + 1. assign V602634 = V109831. assign V481334 = V691765 - 1. assign V427630 = V839382 + 1. assign V852401 = V806119 - 1. assign V874696 = V217484 - 1. assign V708899 = V709283 + 1. assign V907827 = V669495. assign V828193 = V109831 + 1. assign V217484 = V602634. assign V011235 = V422295 + 1. assign V595014 = V975762 - 1. assign V291208 = V182900. assign V988573 = V806119 - 1. assign V265846 = V647685 - 1. assign V364208 = V595014 - 1. assign V839382 = V691765 + 1. assign V440617 = V179740 + 1. assign V338607 = V709283. assign V422295 = V806119. assign V731496 = V179740 + 1. assign V097409 = V455505. assign V691765 = V879749. assign V130130 = V709283 - 1. assign V521379 = V427630 + 1. assign V292106 = V833113. assign V899236 = V806119 - 1. assign V313920 = V338607. assign V537783 = V852401 + 1. assign V958543 = V709813 + 1. assign V300406 = V297493.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V574125 = 4. assign V716762 = V517949. assign V886239 = V712980 + 1. assign V417715 = V731496 + 1. assign V297493 = V330101. assign V204189 = V806119 + 1. assign V166322 = V716762 + 1. assign V390668 = V140619 - 1. assign V879749 = V179740 - 1. assign V517949 = V179740 - 1. assign V211317 = V292106 + 1. assign V535275 = V858473 - 1. assign V502692 = V731496. assign V400007 = V291208 + 1. assign V669495 = V958543 - 1. assign V640029 = V400610 - 1. assign V505285 = V879749. assign V833113 = V422295. assign V334204 = V313920 + 1. assign V712980 = V400610. assign V647685 = V400610. assign V705675 = V483684 + 1. assign V449545 = V182900. assign V600617 = V338607 + 1. assign V483684 = V839382. assign V346832 = V975762 - 1. assign V458442 = V574125 - 1. assign V967874 = V751487 + 1. assign V870303 = V265846 + 1. assign V709813 = V716762. assign V167302 = V179740 + 1. assign V751487 = V088578. assign V088578 = V330101. assign V949820 = V211317 - 1. assign V538600 = V949820 + 1. assign V330101 = V647685 - 1. assign V005949 = V988573. assign V986294 = V852401 + 1. assign V814874 = V751487 + 1. assign V140619 = V455505 - 1. assign V680202 = V806119. assign V806119 = V109831. assign V129023 = V870303 + 1. assign V975762 = V602634 - 1. assign V569120 = V109831 + 1. assign V858473 = V716762. assign V863947 = V179740 - 1. assign V504422 = V179740. assign V455505 = V400610. assign V560560 = V537783. assign V400610 = V422295. assign V607127 = V182900 - 1. assign V709283 = V011235 - 1. assign V179740 = V109831. assign V182900 = V879749. assign V280848 = V505285 + 1. assign V602634 = V109831. assign V481334 = V691765 - 1. assign V427630 = V839382 + 1. assign V852401 = V806119 - 1. assign V874696 = V217484 - 1. assign V708899 = V709283 + 1. assign V907827 = V669495. assign V828193 = V109831 + 1. assign V217484 = V602634. assign V011235 = V422295 + 1. assign V595014 = V975762 - 1. assign V291208 = V182900. assign V988573 = V806119 - 1. assign V265846 = V647685 - 1. assign V364208 = V595014 - 1. assign V839382 = V691765 + 1. assign V440617 = V179740 + 1. assign V338607 = V709283. assign V422295 = V806119. assign V731496 = V179740 + 1. assign V097409 = V455505. assign V691765 = V879749. assign V130130 = V709283 - 1. assign V521379 = V427630 + 1. assign V292106 = V833113. assign V899236 = V806119 - 1. assign V313920 = V338607. assign V537783 = V852401 + 1. assign V958543 = V709813 + 1. assign V300406 = V297493.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV574125 = 4;\n\nFrom these direct assignment(s), we have: \nV458442 = V574125 - 1 = 4 - 1 =3;\nNo other variables can be derived from V458442;\nNo other variables can be derived from V574125;\n\nNow we have done all the calculations. Derived variables are:\nV574125 = 4;\nV458442 = 3;\n\nNow we have finished this problem. ANSWER:\nV574125\n", "role": "assistant" } ]

[ "V655051" ]

[ { "content": "<context>\nassign V324560 = V159500 + 1. assign V390340 = V094784 - 1. assign V593015 = V865600 - 1. assign V807003 = V884448. assign V106736 = V671877 - 1. assign V575497 = V094784. assign V235332 = V321818. assign V749792 = V082165. assign V892218 = V503413 + 1. assign V016913 = V499239 - 1. assign V884448 = V404147. assign V465823 = V324560 + 1. assign V017143 = V106736. assign V209420 = V404147 - 1. assign V159500 = V106736 + 1. assign V884468 = V159500 + 1. assign V485952 = V671877 + 1. assign V802734 = V884448. assign V540984 = V324560 + 1. assign V385024 = V884448 - 1. assign V781771 = V499239 - 1. assign V998679 = V387498 + 1. assign V873357 = V765403 - 1. assign V232225 = V817026. assign V478922 = V056219 + 1. assign V870033 = V499239 - 1. assign V900202 = V575497 - 1. assign V059379 = V084317 - 1. assign V264013 = V224288. assign V974456 = V717151. assign V815508 = V886736. assign V387498 = V159500. assign V886736 = V540984. assign V032611 = V781771 - 1. assign V696098 = V503413 + 1. assign V084317 = V056219 + 1. assign V625222 = V290545 + 1. assign V682753 = V485952 + 1. assign V765403 = V540984 - 1. assign V082165 = V575497 - 1. assign V217117 = V084317 - 1. assign V503413 = V575497. assign V693484 = V886736. assign V551470 = V159500 + 1. assign V094784 = V981483 - 1. assign V321818 = V981483. assign V608207 = V802734 + 1. assign V925096 = V892218. assign V568486 = V385024. assign V244504 = V865600 + 1. assign V064426 = V540984 + 1. assign V191454 = V981483 - 1. assign V717151 = V485952 + 1. assign V056219 = V671877. assign V695643 = V082165 + 1. assign V623450 = V324560. assign V223964 = V900202. assign V036102 = V802734 + 1. assign V889327 = V822935 - 1. assign V576062 = V981483. assign V928346 = V540984 + 1. assign V637088 = V807003 + 1. assign V290545 = V900202 - 1. assign V822935 = V802734. assign V757581 = V016913 + 1. assign V981483 = V159500 + 1. assign V201250 = V224288. assign V446718 = V655051 - 1. assign V865600 = V981483. assign V465026 = V385024 - 1. assign V331437 = V324560 + 1. assign V207867 = V264013 - 1. assign V724379 = V387498. assign V813417 = V623450. assign V932647 = V540984. assign V655051 = 0. assign V970633 = V056219. assign V224288 = V017143 + 1. assign V882372 = V575497 + 1. assign V404147 = V865600 - 1. assign V484852 = V404147. assign V497191 = V886736. assign V499239 = V485952. assign V817026 = V865600 - 1. assign V811858 = V321818. assign V131434 = V385024 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V324560 = V159500 + 1. assign V390340 = V094784 - 1. assign V593015 = V865600 - 1. assign V807003 = V884448. assign V106736 = V671877 - 1. assign V575497 = V094784. assign V235332 = V321818. assign V749792 = V082165. assign V892218 = V503413 + 1. assign V016913 = V499239 - 1. assign V884448 = V404147. assign V465823 = V324560 + 1. assign V017143 = V106736. assign V209420 = V404147 - 1. assign V159500 = V106736 + 1. assign V884468 = V159500 + 1. assign V485952 = V671877 + 1. assign V802734 = V884448. assign V540984 = V324560 + 1. assign V385024 = V884448 - 1. assign V781771 = V499239 - 1. assign V998679 = V387498 + 1. assign V873357 = V765403 - 1. assign V232225 = V817026. assign V478922 = V056219 + 1. assign V870033 = V499239 - 1. assign V900202 = V575497 - 1. assign V059379 = V084317 - 1. assign V264013 = V224288. assign V974456 = V717151. assign V815508 = V886736. assign V387498 = V159500. assign V886736 = V540984. assign V032611 = V781771 - 1. assign V696098 = V503413 + 1. assign V084317 = V056219 + 1. assign V625222 = V290545 + 1. assign V682753 = V485952 + 1. assign V765403 = V540984 - 1. assign V082165 = V575497 - 1. assign V217117 = V084317 - 1. assign V503413 = V575497. assign V693484 = V886736. assign V551470 = V159500 + 1. assign V094784 = V981483 - 1. assign V321818 = V981483. assign V608207 = V802734 + 1. assign V925096 = V892218. assign V568486 = V385024. assign V244504 = V865600 + 1. assign V064426 = V540984 + 1. assign V191454 = V981483 - 1. assign V717151 = V485952 + 1. assign V056219 = V671877. assign V695643 = V082165 + 1. assign V623450 = V324560. assign V223964 = V900202. assign V036102 = V802734 + 1. assign V889327 = V822935 - 1. assign V576062 = V981483. assign V928346 = V540984 + 1. assign V637088 = V807003 + 1. assign V290545 = V900202 - 1. assign V822935 = V802734. assign V757581 = V016913 + 1. assign V981483 = V159500 + 1. assign V201250 = V224288. assign V446718 = V655051 - 1. assign V865600 = V981483. assign V465026 = V385024 - 1. assign V331437 = V324560 + 1. assign V207867 = V264013 - 1. assign V724379 = V387498. assign V813417 = V623450. assign V932647 = V540984. assign V655051 = 0. assign V970633 = V056219. assign V224288 = V017143 + 1. assign V882372 = V575497 + 1. assign V404147 = V865600 - 1. assign V484852 = V404147. assign V497191 = V886736. assign V499239 = V485952. assign V817026 = V865600 - 1. assign V811858 = V321818. assign V131434 = V385024 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV655051 = 0;\n\nFrom these direct assignment(s), we have: \nV446718 = V655051 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V446718;\nNo other variables can be derived from V655051;\n\nNow we have done all the calculations. Derived variables are:\nV655051 = 0;\nV446718 = -1;\n\nNow we have finished this problem. ANSWER:\nV655051\n", "role": "assistant" } ]

[ "V671803" ]

[ { "content": "<context>\nassign V574672 = V872790 - 1. assign V019115 = V422624. assign V864635 = V737161 - 1. assign V568839 = V872790 - 1. assign V709077 = V174209 + 1. assign V380122 = V542545 + 1. assign V761055 = V485202 + 1. assign V761831 = V727136 - 1. assign V178693 = V872790 - 1. assign V737161 = V872790. assign V671803 = 1. assign V422624 = V563737. assign V399159 = V014070. assign V420327 = V023959. assign V604205 = V874104 + 1. assign V038319 = V917405 + 1. assign V711230 = V023959 + 1. assign V669052 = V671803 - 1. assign V984568 = V574672 - 1. assign V741727 = V174209. assign V147717 = V168755 - 1. assign V985438 = V917405. assign V542545 = V171205. assign V011152 = V574672 - 1. assign V727136 = V135095 - 1. assign V493366 = V174209 + 1. assign V872790 = V353081. assign V011273 = V716590 + 1. assign V158794 = V171205. assign V192460 = V971260 - 1. assign V899703 = V135095 - 1. assign V460789 = V011152 + 1. assign V834311 = V171205. assign V023959 = V353081. assign V826933 = V493366 - 1. assign V170052 = V917405. assign V978357 = V036827 + 1. assign V135095 = V422624 - 1. assign V756151 = V514269 + 1. assign V584560 = V051167. assign V281043 = V040767. assign V819337 = V081297 - 1. assign V755704 = V036827. assign V782656 = V171205 - 1. assign V485202 = V051167 - 1. assign V090465 = V170052 + 1. assign V051167 = V493366 + 1. assign V990756 = V170052 - 1. assign V174209 = V874104. assign V911951 = V263000 - 1. assign V707848 = V493366. assign V917405 = V023959 - 1. assign V014070 = V984568 + 1. assign V150902 = V604205. assign V081297 = V917405 - 1. assign V716590 = V412759. assign V971260 = V353081 + 1. assign V168755 = V435311 - 1. assign V275320 = V864635 + 1. assign V150982 = V178693 + 1. assign V323572 = V023959. assign V010543 = V435311 + 1. assign V563737 = V353081 + 1. assign V243630 = V168755. assign V079076 = V874104. assign V040767 = V353081 + 1. assign V885972 = V010543. assign V171205 = V422624 - 1. assign V634352 = V323572. assign V435311 = V023959. assign V156263 = V010543 + 1. assign V448472 = V168755. assign V263000 = V171205. assign V359210 = V542545 + 1. assign V412759 = V872790 + 1. assign V514269 = V174209. assign V036827 = V493366 + 1. assign V745564 = V353081 + 1. assign V461609 = V171205 + 1. assign V927413 = V542545 + 1. assign V874104 = V023959 - 1. assign V858156 = V323572. assign V853366 = V263000. assign V900993 = V168755. assign V704250 = V542545. assign V310732 = V707848 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V574672 = V872790 - 1. assign V019115 = V422624. assign V864635 = V737161 - 1. assign V568839 = V872790 - 1. assign V709077 = V174209 + 1. assign V380122 = V542545 + 1. assign V761055 = V485202 + 1. assign V761831 = V727136 - 1. assign V178693 = V872790 - 1. assign V737161 = V872790. assign V671803 = 1. assign V422624 = V563737. assign V399159 = V014070. assign V420327 = V023959. assign V604205 = V874104 + 1. assign V038319 = V917405 + 1. assign V711230 = V023959 + 1. assign V669052 = V671803 - 1. assign V984568 = V574672 - 1. assign V741727 = V174209. assign V147717 = V168755 - 1. assign V985438 = V917405. assign V542545 = V171205. assign V011152 = V574672 - 1. assign V727136 = V135095 - 1. assign V493366 = V174209 + 1. assign V872790 = V353081. assign V011273 = V716590 + 1. assign V158794 = V171205. assign V192460 = V971260 - 1. assign V899703 = V135095 - 1. assign V460789 = V011152 + 1. assign V834311 = V171205. assign V023959 = V353081. assign V826933 = V493366 - 1. assign V170052 = V917405. assign V978357 = V036827 + 1. assign V135095 = V422624 - 1. assign V756151 = V514269 + 1. assign V584560 = V051167. assign V281043 = V040767. assign V819337 = V081297 - 1. assign V755704 = V036827. assign V782656 = V171205 - 1. assign V485202 = V051167 - 1. assign V090465 = V170052 + 1. assign V051167 = V493366 + 1. assign V990756 = V170052 - 1. assign V174209 = V874104. assign V911951 = V263000 - 1. assign V707848 = V493366. assign V917405 = V023959 - 1. assign V014070 = V984568 + 1. assign V150902 = V604205. assign V081297 = V917405 - 1. assign V716590 = V412759. assign V971260 = V353081 + 1. assign V168755 = V435311 - 1. assign V275320 = V864635 + 1. assign V150982 = V178693 + 1. assign V323572 = V023959. assign V010543 = V435311 + 1. assign V563737 = V353081 + 1. assign V243630 = V168755. assign V079076 = V874104. assign V040767 = V353081 + 1. assign V885972 = V010543. assign V171205 = V422624 - 1. assign V634352 = V323572. assign V435311 = V023959. assign V156263 = V010543 + 1. assign V448472 = V168755. assign V263000 = V171205. assign V359210 = V542545 + 1. assign V412759 = V872790 + 1. assign V514269 = V174209. assign V036827 = V493366 + 1. assign V745564 = V353081 + 1. assign V461609 = V171205 + 1. assign V927413 = V542545 + 1. assign V874104 = V023959 - 1. assign V858156 = V323572. assign V853366 = V263000. assign V900993 = V168755. assign V704250 = V542545. assign V310732 = V707848 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV671803 = 1;\n\nFrom these direct assignment(s), we have: \nV669052 = V671803 - 1 = 1 - 1 =0;\nNo other variables can be derived from V669052;\nNo other variables can be derived from V671803;\n\nNow we have done all the calculations. Derived variables are:\nV671803 = 1;\nV669052 = 0;\n\nNow we have finished this problem. ANSWER:\nV671803\n", "role": "assistant" } ]

[ "V132728" ]

[ { "content": "<context>\nassign V469079 = V185093. assign V799273 = V786377 - 1. assign V375176 = V192023 + 1. assign V637327 = V144244 - 1. assign V182781 = V017662 + 1. assign V777802 = V185093 - 1. assign V568399 = V961594. assign V103828 = V066772 + 1. assign V500012 = V554087 + 1. assign V393124 = V395768 + 1. assign V719710 = V568399. assign V192023 = V424936 + 1. assign V010658 = V017662. assign V210068 = V467246. assign V850669 = V184993 + 1. assign V057190 = V017662 - 1. assign V096545 = V182781 + 1. assign V881264 = V010658 + 1. assign V144244 = V091424 - 1. assign V877769 = V144244 - 1. assign V301978 = V401699 + 1. assign V658843 = 9. assign V092642 = V782271 + 1. assign V817570 = V961594. assign V917784 = V091424 - 1. assign V184993 = V568399. assign V339385 = V168154. assign V213010 = V082471 + 1. assign V047736 = V782271. assign V710153 = V258193 - 1. assign V932809 = V017662 - 1. assign V225250 = V184993 + 1. assign V989616 = V225250 - 1. assign V884674 = V017662. assign V701785 = V881527. assign V424936 = V378391 + 1. assign V132728 = V658843 - 1. assign V908914 = V066772 + 1. assign V777559 = V424936 + 1. assign V621506 = V719710 - 1. assign V401699 = V184993 - 1. assign V404952 = V710153. assign V011127 = V185093 + 1. assign V529664 = V752505. assign V782271 = V256023 + 1. assign V066772 = V901048 + 1. assign V378391 = V884674 - 1. assign V713000 = V914557. assign V313928 = V047736 - 1. assign V256023 = V961594 - 1. assign V042860 = V393124 + 1. assign V441959 = V067170 - 1. assign V295825 = V932809 + 1. assign V521953 = V401699 + 1. assign V091424 = V182781 + 1. assign V067170 = V914557. assign V554087 = V091424 + 1. assign V148470 = V103828 - 1. assign V827913 = V144244. assign V755007 = V469079 - 1. assign V937259 = V082471 + 1. assign V090439 = V719710. assign V752505 = V937259 + 1. assign V467246 = V777802 + 1. assign V168154 = V047736 + 1. assign V996342 = V529664 + 1. assign V299776 = V621506 - 1. assign V751134 = V182781 + 1. assign V914557 = V901048 - 1. assign V901048 = V424936. assign V082471 = V424936 + 1. assign V856494 = V375176. assign V185093 = V568399 - 1. assign V258193 = V256023. assign V218580 = V777802 + 1. assign V881527 = V213010 + 1. assign V857331 = V210068. assign V264463 = V881527 - 1. assign V017662 = V961594 - 1. assign V483332 = V817570 - 1. assign V829191 = V395768 + 1. assign V150705 = V010658 + 1. assign V883010 = V150705 + 1. assign V786377 = V182781 + 1. assign V683124 = V799273. assign V395768 = V961594 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V469079 = V185093. assign V799273 = V786377 - 1. assign V375176 = V192023 + 1. assign V637327 = V144244 - 1. assign V182781 = V017662 + 1. assign V777802 = V185093 - 1. assign V568399 = V961594. assign V103828 = V066772 + 1. assign V500012 = V554087 + 1. assign V393124 = V395768 + 1. assign V719710 = V568399. assign V192023 = V424936 + 1. assign V010658 = V017662. assign V210068 = V467246. assign V850669 = V184993 + 1. assign V057190 = V017662 - 1. assign V096545 = V182781 + 1. assign V881264 = V010658 + 1. assign V144244 = V091424 - 1. assign V877769 = V144244 - 1. assign V301978 = V401699 + 1. assign V658843 = 9. assign V092642 = V782271 + 1. assign V817570 = V961594. assign V917784 = V091424 - 1. assign V184993 = V568399. assign V339385 = V168154. assign V213010 = V082471 + 1. assign V047736 = V782271. assign V710153 = V258193 - 1. assign V932809 = V017662 - 1. assign V225250 = V184993 + 1. assign V989616 = V225250 - 1. assign V884674 = V017662. assign V701785 = V881527. assign V424936 = V378391 + 1. assign V132728 = V658843 - 1. assign V908914 = V066772 + 1. assign V777559 = V424936 + 1. assign V621506 = V719710 - 1. assign V401699 = V184993 - 1. assign V404952 = V710153. assign V011127 = V185093 + 1. assign V529664 = V752505. assign V782271 = V256023 + 1. assign V066772 = V901048 + 1. assign V378391 = V884674 - 1. assign V713000 = V914557. assign V313928 = V047736 - 1. assign V256023 = V961594 - 1. assign V042860 = V393124 + 1. assign V441959 = V067170 - 1. assign V295825 = V932809 + 1. assign V521953 = V401699 + 1. assign V091424 = V182781 + 1. assign V067170 = V914557. assign V554087 = V091424 + 1. assign V148470 = V103828 - 1. assign V827913 = V144244. assign V755007 = V469079 - 1. assign V937259 = V082471 + 1. assign V090439 = V719710. assign V752505 = V937259 + 1. assign V467246 = V777802 + 1. assign V168154 = V047736 + 1. assign V996342 = V529664 + 1. assign V299776 = V621506 - 1. assign V751134 = V182781 + 1. assign V914557 = V901048 - 1. assign V901048 = V424936. assign V082471 = V424936 + 1. assign V856494 = V375176. assign V185093 = V568399 - 1. assign V258193 = V256023. assign V218580 = V777802 + 1. assign V881527 = V213010 + 1. assign V857331 = V210068. assign V264463 = V881527 - 1. assign V017662 = V961594 - 1. assign V483332 = V817570 - 1. assign V829191 = V395768 + 1. assign V150705 = V010658 + 1. assign V883010 = V150705 + 1. assign V786377 = V182781 + 1. assign V683124 = V799273. assign V395768 = V961594 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV658843 = 9;\n\nFrom these direct assignment(s), we have: \nV132728 = V658843 - 1 = 9 - 1 =8;\nNo other variables can be derived from V132728;\nNo other variables can be derived from V658843;\n\nNow we have done all the calculations. Derived variables are:\nV658843 = 9;\nV132728 = 8;\n\nNow we have finished this problem. ANSWER:\nV132728\n", "role": "assistant" } ]

[ "V969983" ]

[ { "content": "<context>\nassign V966846 = V988745. assign V849771 = V847333 - 1. assign V747170 = V673520 + 1. assign V902522 = V576338. assign V487484 = V568614 + 1. assign V531419 = V793223. assign V656039 = V723967 - 1. assign V317742 = V829579 - 1. assign V427967 = V700788 + 1. assign V556449 = V481387 + 1. assign V274547 = V673520. assign V390081 = V145479 - 1. assign V060258 = V771355 - 1. assign V138695 = V049826 - 1. assign V689748 = V500513 - 1. assign V526060 = V036551 - 1. assign V016715 = V700788. assign V866681 = V113112 - 1. assign V986954 = V531419 - 1. assign V810108 = V724692. assign V206016 = V689748 + 1. assign V948977 = V829579 + 1. assign V399777 = V902522 - 1. assign V618609 = V500513 - 1. assign V500513 = V771355 + 1. assign V723967 = V398276. assign V337104 = V607094 - 1. assign V742758 = V036551 + 1. assign V380328 = V526060. assign V755833 = V113112 - 1. assign V677456 = V390725. assign V607094 = V568614. assign V786771 = V700788. assign V071392 = V398276 - 1. assign V300534 = V113112 - 1. assign V219359 = V465200 - 1. assign V887505 = V317742 + 1. assign V447990 = V656039. assign V419186 = V723967. assign V398276 = V317742 + 1. assign V995920 = V337320. assign V820615 = V847333 - 1. assign V576338 = V568614 + 1. assign V002113 = V747170. assign V036494 = V145479 - 1. assign V724692 = V201660. assign V478405 = V655303 - 1. assign V708351 = V723967 + 1. assign V673520 = V988745 - 1. assign V465470 = V060258. assign V399355 = V618609 - 1. assign V014092 = V049826. assign V769211 = V145479 + 1. assign V827347 = V689748 + 1. assign V767834 = V487484. assign V771355 = V317742 - 1. assign V145479 = V317742 - 1. assign V201660 = V723967 - 1. assign V347696 = V977774. assign V337320 = V700788 - 1. assign V977774 = V771355 - 1. assign V547477 = V708351 + 1. assign V113112 = V237846 + 1. assign V617531 = V113112. assign V655303 = V769211 - 1. assign V112259 = V771355 + 1. assign V631851 = V969983 - 1. assign V829579 = V568614 - 1. assign V749793 = V723967. assign V793223 = V201660. assign V390725 = V036494 - 1. assign V988038 = V112259. assign V481387 = V708351 - 1. assign V969983 = 10. assign V700788 = V829579 + 1. assign V912959 = V146008 + 1. assign V557918 = V014092 - 1. assign V036551 = V771355 - 1. assign V237846 = V723967. assign V988745 = V700788 - 1. assign V405235 = V138695 + 1. assign V026810 = V390081 + 1. assign V146008 = V576338 + 1. assign V847333 = V419186 + 1. assign V465200 = V988745. assign V049826 = V749793 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V966846 = V988745. assign V849771 = V847333 - 1. assign V747170 = V673520 + 1. assign V902522 = V576338. assign V487484 = V568614 + 1. assign V531419 = V793223. assign V656039 = V723967 - 1. assign V317742 = V829579 - 1. assign V427967 = V700788 + 1. assign V556449 = V481387 + 1. assign V274547 = V673520. assign V390081 = V145479 - 1. assign V060258 = V771355 - 1. assign V138695 = V049826 - 1. assign V689748 = V500513 - 1. assign V526060 = V036551 - 1. assign V016715 = V700788. assign V866681 = V113112 - 1. assign V986954 = V531419 - 1. assign V810108 = V724692. assign V206016 = V689748 + 1. assign V948977 = V829579 + 1. assign V399777 = V902522 - 1. assign V618609 = V500513 - 1. assign V500513 = V771355 + 1. assign V723967 = V398276. assign V337104 = V607094 - 1. assign V742758 = V036551 + 1. assign V380328 = V526060. assign V755833 = V113112 - 1. assign V677456 = V390725. assign V607094 = V568614. assign V786771 = V700788. assign V071392 = V398276 - 1. assign V300534 = V113112 - 1. assign V219359 = V465200 - 1. assign V887505 = V317742 + 1. assign V447990 = V656039. assign V419186 = V723967. assign V398276 = V317742 + 1. assign V995920 = V337320. assign V820615 = V847333 - 1. assign V576338 = V568614 + 1. assign V002113 = V747170. assign V036494 = V145479 - 1. assign V724692 = V201660. assign V478405 = V655303 - 1. assign V708351 = V723967 + 1. assign V673520 = V988745 - 1. assign V465470 = V060258. assign V399355 = V618609 - 1. assign V014092 = V049826. assign V769211 = V145479 + 1. assign V827347 = V689748 + 1. assign V767834 = V487484. assign V771355 = V317742 - 1. assign V145479 = V317742 - 1. assign V201660 = V723967 - 1. assign V347696 = V977774. assign V337320 = V700788 - 1. assign V977774 = V771355 - 1. assign V547477 = V708351 + 1. assign V113112 = V237846 + 1. assign V617531 = V113112. assign V655303 = V769211 - 1. assign V112259 = V771355 + 1. assign V631851 = V969983 - 1. assign V829579 = V568614 - 1. assign V749793 = V723967. assign V793223 = V201660. assign V390725 = V036494 - 1. assign V988038 = V112259. assign V481387 = V708351 - 1. assign V969983 = 10. assign V700788 = V829579 + 1. assign V912959 = V146008 + 1. assign V557918 = V014092 - 1. assign V036551 = V771355 - 1. assign V237846 = V723967. assign V988745 = V700788 - 1. assign V405235 = V138695 + 1. assign V026810 = V390081 + 1. assign V146008 = V576338 + 1. assign V847333 = V419186 + 1. assign V465200 = V988745. assign V049826 = V749793 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV969983 = 10;\n\nFrom these direct assignment(s), we have: \nV631851 = V969983 - 1 = 10 - 1 =9;\nNo other variables can be derived from V631851;\nNo other variables can be derived from V969983;\n\nNow we have done all the calculations. Derived variables are:\nV969983 = 10;\nV631851 = 9;\n\nNow we have finished this problem. ANSWER:\nV969983\n", "role": "assistant" } ]

[ "V296829" ]

[ { "content": "<context>\nassign V456389 = V702568. assign V636578 = V668345. assign V733981 = V647947 - 1. assign V771814 = V763283 + 1. assign V648882 = 8. assign V916453 = V822562. assign V977034 = V253170 + 1. assign V486508 = V417673 + 1. assign V763283 = V905843 + 1. assign V089966 = V147123 + 1. assign V760061 = V653132. assign V174281 = V364188. assign V668345 = V702568 - 1. assign V950789 = V899681. assign V025537 = V822562. assign V038038 = V802809 - 1. assign V223096 = V702568 + 1. assign V253170 = V444698 + 1. assign V389942 = V771814. assign V702568 = V444698. assign V945482 = V444698 - 1. assign V222209 = V147123. assign V417673 = V773127. assign V802809 = V899681 - 1. assign V822562 = V147123 - 1. assign V589928 = V121224. assign V303511 = V065452 + 1. assign V899681 = V654575 + 1. assign V094156 = V702568 - 1. assign V442503 = V705788. assign V147123 = V663379. assign V240961 = V994440 + 1. assign V686683 = V034050 - 1. assign V769998 = V253170. assign V828329 = V905843. assign V019176 = V833671. assign V653132 = V327909 + 1. assign V619313 = V773127 - 1. assign V621528 = V905843. assign V363787 = V456389. assign V678500 = V763283 - 1. assign V121224 = V256795 + 1. assign V814250 = V327909 + 1. assign V648013 = V994440. assign V327909 = V773127 - 1. assign V460618 = V905843 + 1. assign V296829 = V648882 - 1. assign V773127 = V663379 - 1. assign V618904 = V760061 - 1. assign V663379 = V850864 - 1. assign V928198 = V654575 + 1. assign V081293 = V769998 + 1. assign V563131 = V081293. assign V647947 = V629627. assign V364188 = V850864. assign V983874 = V905843. assign V178329 = V034050 + 1. assign V869126 = V654575 + 1. assign V789667 = V928198 - 1. assign V830786 = V705788 + 1. assign V645114 = V869126 + 1. assign V850831 = V034050 - 1. assign V034050 = V850864 - 1. assign V629627 = V621528 - 1. assign V425785 = V994440 - 1. assign V052666 = V417673. assign V256795 = V850864 + 1. assign V705788 = V308136 - 1. assign V636389 = V795927. assign V308136 = V856769 + 1. assign V604270 = V850831. assign V905843 = V663379. assign V795927 = V712205 + 1. assign V065452 = V760061 + 1. assign V833671 = V636389 + 1. assign V742755 = V081293. assign V691630 = V773127. assign V950468 = V444698. assign V943677 = V814250 + 1. assign V444698 = V034050 + 1. assign V994440 = V899681. assign V856769 = V034050 + 1. assign V973389 = V760061 - 1. assign V654575 = V822562. assign V308951 = V950468 - 1. assign V712205 = V147123 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V456389 = V702568. assign V636578 = V668345. assign V733981 = V647947 - 1. assign V771814 = V763283 + 1. assign V648882 = 8. assign V916453 = V822562. assign V977034 = V253170 + 1. assign V486508 = V417673 + 1. assign V763283 = V905843 + 1. assign V089966 = V147123 + 1. assign V760061 = V653132. assign V174281 = V364188. assign V668345 = V702568 - 1. assign V950789 = V899681. assign V025537 = V822562. assign V038038 = V802809 - 1. assign V223096 = V702568 + 1. assign V253170 = V444698 + 1. assign V389942 = V771814. assign V702568 = V444698. assign V945482 = V444698 - 1. assign V222209 = V147123. assign V417673 = V773127. assign V802809 = V899681 - 1. assign V822562 = V147123 - 1. assign V589928 = V121224. assign V303511 = V065452 + 1. assign V899681 = V654575 + 1. assign V094156 = V702568 - 1. assign V442503 = V705788. assign V147123 = V663379. assign V240961 = V994440 + 1. assign V686683 = V034050 - 1. assign V769998 = V253170. assign V828329 = V905843. assign V019176 = V833671. assign V653132 = V327909 + 1. assign V619313 = V773127 - 1. assign V621528 = V905843. assign V363787 = V456389. assign V678500 = V763283 - 1. assign V121224 = V256795 + 1. assign V814250 = V327909 + 1. assign V648013 = V994440. assign V327909 = V773127 - 1. assign V460618 = V905843 + 1. assign V296829 = V648882 - 1. assign V773127 = V663379 - 1. assign V618904 = V760061 - 1. assign V663379 = V850864 - 1. assign V928198 = V654575 + 1. assign V081293 = V769998 + 1. assign V563131 = V081293. assign V647947 = V629627. assign V364188 = V850864. assign V983874 = V905843. assign V178329 = V034050 + 1. assign V869126 = V654575 + 1. assign V789667 = V928198 - 1. assign V830786 = V705788 + 1. assign V645114 = V869126 + 1. assign V850831 = V034050 - 1. assign V034050 = V850864 - 1. assign V629627 = V621528 - 1. assign V425785 = V994440 - 1. assign V052666 = V417673. assign V256795 = V850864 + 1. assign V705788 = V308136 - 1. assign V636389 = V795927. assign V308136 = V856769 + 1. assign V604270 = V850831. assign V905843 = V663379. assign V795927 = V712205 + 1. assign V065452 = V760061 + 1. assign V833671 = V636389 + 1. assign V742755 = V081293. assign V691630 = V773127. assign V950468 = V444698. assign V943677 = V814250 + 1. assign V444698 = V034050 + 1. assign V994440 = V899681. assign V856769 = V034050 + 1. assign V973389 = V760061 - 1. assign V654575 = V822562. assign V308951 = V950468 - 1. assign V712205 = V147123 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV648882 = 8;\n\nFrom these direct assignment(s), we have: \nV296829 = V648882 - 1 = 8 - 1 =7;\nNo other variables can be derived from V296829;\nNo other variables can be derived from V648882;\n\nNow we have done all the calculations. Derived variables are:\nV648882 = 8;\nV296829 = 7;\n\nNow we have finished this problem. ANSWER:\nV296829\n", "role": "assistant" } ]

[ "V633945" ]

[ { "content": "<context>\nassign V009726 = V657890 - 1. assign V977925 = 9. assign V650796 = V523562 + 1. assign V294906 = V202301 + 1. assign V834720 = V370749. assign V622106 = V309139 - 1. assign V886668 = V892517 - 1. assign V309139 = V620204 + 1. assign V131130 = V560672 + 1. assign V768441 = V080682. assign V473516 = V490371 - 1. assign V889336 = V425027 + 1. assign V480261 = V889253 - 1. assign V954814 = V092305 - 1. assign V583518 = V080682 - 1. assign V817493 = V449526 - 1. assign V633945 = V977925 - 1. assign V523562 = V294906 - 1. assign V470497 = V309139 + 1. assign V818884 = V834720. assign V666649 = V829932 + 1. assign V892517 = V829932 + 1. assign V092305 = V666649 + 1. assign V259057 = V225901. assign V821379 = V449526. assign V081215 = V131130 - 1. assign V509435 = V791699 - 1. assign V829932 = V202301 + 1. assign V776123 = V202301. assign V595405 = V744933. assign V437806 = V092305 - 1. assign V038583 = V657890 + 1. assign V636201 = V113284 + 1. assign V626792 = V829932. assign V340952 = V666649 + 1. assign V399167 = V479570. assign V447296 = V038583. assign V910148 = V105074 - 1. assign V991945 = V954814 - 1. assign V117673 = V490371. assign V620204 = V507080. assign V831642 = V735898 + 1. assign V337877 = V340952. assign V598232 = V507080 - 1. assign V497734 = V889253. assign V225901 = V038583 - 1. assign V113284 = V776123 + 1. assign V449616 = V337877. assign V297855 = V818884. assign V087212 = V509435. assign V536535 = V910148. assign V507080 = V038583 + 1. assign V370749 = V113284. assign V818342 = V449526 + 1. assign V924880 = V113284. assign V560672 = V225901 + 1. assign V614608 = V449526 - 1. assign V040051 = V554454 - 1. assign V690890 = V259057 - 1. assign V233540 = V706048 + 1. assign V087883 = V776123. assign V479293 = V370749 + 1. assign V324638 = V509435 - 1. assign V214820 = V598232 - 1. assign V394633 = V507080. assign V984477 = V337877 + 1. assign V903241 = V092305 + 1. assign V744933 = V105074 + 1. assign V105074 = V829932 - 1. assign V449526 = V202301. assign V393352 = V583518 + 1. assign V490371 = V087212 - 1. assign V106257 = V827349. assign V425027 = V829932. assign V593173 = V910148 - 1. assign V080682 = V040051 - 1. assign V325623 = V449526. assign V349474 = V776123 - 1. assign V657890 = V202301 - 1. assign V827349 = V776123 + 1. assign V554454 = V626792. assign V735898 = V092305 + 1. assign V479570 = V294906 + 1. assign V889253 = V554454. assign V706048 = V202301. assign V791699 = V202301.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V009726 = V657890 - 1. assign V977925 = 9. assign V650796 = V523562 + 1. assign V294906 = V202301 + 1. assign V834720 = V370749. assign V622106 = V309139 - 1. assign V886668 = V892517 - 1. assign V309139 = V620204 + 1. assign V131130 = V560672 + 1. assign V768441 = V080682. assign V473516 = V490371 - 1. assign V889336 = V425027 + 1. assign V480261 = V889253 - 1. assign V954814 = V092305 - 1. assign V583518 = V080682 - 1. assign V817493 = V449526 - 1. assign V633945 = V977925 - 1. assign V523562 = V294906 - 1. assign V470497 = V309139 + 1. assign V818884 = V834720. assign V666649 = V829932 + 1. assign V892517 = V829932 + 1. assign V092305 = V666649 + 1. assign V259057 = V225901. assign V821379 = V449526. assign V081215 = V131130 - 1. assign V509435 = V791699 - 1. assign V829932 = V202301 + 1. assign V776123 = V202301. assign V595405 = V744933. assign V437806 = V092305 - 1. assign V038583 = V657890 + 1. assign V636201 = V113284 + 1. assign V626792 = V829932. assign V340952 = V666649 + 1. assign V399167 = V479570. assign V447296 = V038583. assign V910148 = V105074 - 1. assign V991945 = V954814 - 1. assign V117673 = V490371. assign V620204 = V507080. assign V831642 = V735898 + 1. assign V337877 = V340952. assign V598232 = V507080 - 1. assign V497734 = V889253. assign V225901 = V038583 - 1. assign V113284 = V776123 + 1. assign V449616 = V337877. assign V297855 = V818884. assign V087212 = V509435. assign V536535 = V910148. assign V507080 = V038583 + 1. assign V370749 = V113284. assign V818342 = V449526 + 1. assign V924880 = V113284. assign V560672 = V225901 + 1. assign V614608 = V449526 - 1. assign V040051 = V554454 - 1. assign V690890 = V259057 - 1. assign V233540 = V706048 + 1. assign V087883 = V776123. assign V479293 = V370749 + 1. assign V324638 = V509435 - 1. assign V214820 = V598232 - 1. assign V394633 = V507080. assign V984477 = V337877 + 1. assign V903241 = V092305 + 1. assign V744933 = V105074 + 1. assign V105074 = V829932 - 1. assign V449526 = V202301. assign V393352 = V583518 + 1. assign V490371 = V087212 - 1. assign V106257 = V827349. assign V425027 = V829932. assign V593173 = V910148 - 1. assign V080682 = V040051 - 1. assign V325623 = V449526. assign V349474 = V776123 - 1. assign V657890 = V202301 - 1. assign V827349 = V776123 + 1. assign V554454 = V626792. assign V735898 = V092305 + 1. assign V479570 = V294906 + 1. assign V889253 = V554454. assign V706048 = V202301. assign V791699 = V202301.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV977925 = 9;\n\nFrom these direct assignment(s), we have: \nV633945 = V977925 - 1 = 9 - 1 =8;\nNo other variables can be derived from V633945;\nNo other variables can be derived from V977925;\n\nNow we have done all the calculations. Derived variables are:\nV977925 = 9;\nV633945 = 8;\n\nNow we have finished this problem. ANSWER:\nV633945\n", "role": "assistant" } ]

[ "V091405" ]

[ { "content": "<context>\nassign V208411 = V394435. assign V527187 = V204997 + 1. assign V376691 = V559994 + 1. assign V252874 = V394435 - 1. assign V769455 = V530861 + 1. assign V534809 = V637755. assign V394435 = V008112 + 1. assign V965993 = V047375 + 1. assign V301150 = V216493 - 1. assign V533061 = V819800 + 1. assign V819800 = V615748 - 1. assign V356123 = V134964. assign V847116 = V415654. assign V871448 = V637755 + 1. assign V649140 = V754416 - 1. assign V916169 = V163639 + 1. assign V353868 = V366408 - 1. assign V091236 = V134964 + 1. assign V091405 = V114195 - 1. assign V539980 = V159375. assign V246538 = V680802. assign V491681 = V150871 + 1. assign V645645 = V134964 - 1. assign V026658 = V553254 + 1. assign V008112 = V357187. assign V803247 = V452611 - 1. assign V163639 = V000956. assign V799662 = V134964. assign V126079 = V026658 + 1. assign V873788 = V301150. assign V150871 = V204997 - 1. assign V512691 = V356123 + 1. assign V281396 = V216493. assign V480775 = V249049 - 1. assign V505605 = V301150. assign V051185 = V026658 + 1. assign V712062 = V204997 - 1. assign V134964 = V527187 - 1. assign V047375 = V555377 - 1. assign V654112 = V126079 - 1. assign V357187 = V527187. assign V927046 = V771036 + 1. assign V597151 = V249049. assign V204997 = V216493 + 1. assign V000956 = V356123. assign V771036 = V527187. assign V680802 = V204997. assign V310201 = V134964. assign V553254 = V204997 + 1. assign V114195 = 5. assign V996326 = V754416 + 1. assign V814000 = V065129 - 1. assign V534440 = V847116 - 1. assign V615748 = V803247 + 1. assign V834233 = V422618. assign V814512 = V680802 - 1. assign V583411 = V389878. assign V530861 = V159375. assign V420533 = V461773 - 1. assign V249049 = V026658. assign V215278 = V553254 + 1. assign V559994 = V965993. assign V265132 = V134964 + 1. assign V637755 = V215278. assign V452611 = V754416 + 1. assign V162479 = V216493 - 1. assign V216493 = V555377 + 1. assign V138713 = V527187 + 1. assign V065129 = V512691 + 1. assign V461773 = V530861 + 1. assign V840672 = V389878. assign V045441 = V310201 - 1. assign V017566 = V965993. assign V422618 = V555377 + 1. assign V285530 = V216493 + 1. assign V189451 = V771036 - 1. assign V636072 = V415654 + 1. assign V754416 = V204997. assign V159375 = V204997 - 1. assign V722211 = V803247. assign V156332 = V527187. assign V326191 = V480775 - 1. assign V389878 = V159375. assign V645104 = V265132. assign V415654 = V754416. assign V366408 = V216493 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V208411 = V394435. assign V527187 = V204997 + 1. assign V376691 = V559994 + 1. assign V252874 = V394435 - 1. assign V769455 = V530861 + 1. assign V534809 = V637755. assign V394435 = V008112 + 1. assign V965993 = V047375 + 1. assign V301150 = V216493 - 1. assign V533061 = V819800 + 1. assign V819800 = V615748 - 1. assign V356123 = V134964. assign V847116 = V415654. assign V871448 = V637755 + 1. assign V649140 = V754416 - 1. assign V916169 = V163639 + 1. assign V353868 = V366408 - 1. assign V091236 = V134964 + 1. assign V091405 = V114195 - 1. assign V539980 = V159375. assign V246538 = V680802. assign V491681 = V150871 + 1. assign V645645 = V134964 - 1. assign V026658 = V553254 + 1. assign V008112 = V357187. assign V803247 = V452611 - 1. assign V163639 = V000956. assign V799662 = V134964. assign V126079 = V026658 + 1. assign V873788 = V301150. assign V150871 = V204997 - 1. assign V512691 = V356123 + 1. assign V281396 = V216493. assign V480775 = V249049 - 1. assign V505605 = V301150. assign V051185 = V026658 + 1. assign V712062 = V204997 - 1. assign V134964 = V527187 - 1. assign V047375 = V555377 - 1. assign V654112 = V126079 - 1. assign V357187 = V527187. assign V927046 = V771036 + 1. assign V597151 = V249049. assign V204997 = V216493 + 1. assign V000956 = V356123. assign V771036 = V527187. assign V680802 = V204997. assign V310201 = V134964. assign V553254 = V204997 + 1. assign V114195 = 5. assign V996326 = V754416 + 1. assign V814000 = V065129 - 1. assign V534440 = V847116 - 1. assign V615748 = V803247 + 1. assign V834233 = V422618. assign V814512 = V680802 - 1. assign V583411 = V389878. assign V530861 = V159375. assign V420533 = V461773 - 1. assign V249049 = V026658. assign V215278 = V553254 + 1. assign V559994 = V965993. assign V265132 = V134964 + 1. assign V637755 = V215278. assign V452611 = V754416 + 1. assign V162479 = V216493 - 1. assign V216493 = V555377 + 1. assign V138713 = V527187 + 1. assign V065129 = V512691 + 1. assign V461773 = V530861 + 1. assign V840672 = V389878. assign V045441 = V310201 - 1. assign V017566 = V965993. assign V422618 = V555377 + 1. assign V285530 = V216493 + 1. assign V189451 = V771036 - 1. assign V636072 = V415654 + 1. assign V754416 = V204997. assign V159375 = V204997 - 1. assign V722211 = V803247. assign V156332 = V527187. assign V326191 = V480775 - 1. assign V389878 = V159375. assign V645104 = V265132. assign V415654 = V754416. assign V366408 = V216493 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV114195 = 5;\n\nFrom these direct assignment(s), we have: \nV091405 = V114195 - 1 = 5 - 1 =4;\nNo other variables can be derived from V091405;\nNo other variables can be derived from V114195;\n\nNow we have done all the calculations. Derived variables are:\nV114195 = 5;\nV091405 = 4;\n\nNow we have finished this problem. ANSWER:\nV091405\n", "role": "assistant" } ]

[ "V207301" ]

[ { "content": "<context>\nassign V974352 = V202522 - 1. assign V445540 = V371395. assign V534365 = V274502 - 1. assign V614716 = V207301 + 1. assign V206338 = V264546 - 1. assign V850870 = V034020 + 1. assign V455451 = V637607 + 1. assign V005653 = V850870. assign V261996 = V343252. assign V524971 = V455451 - 1. assign V457049 = V850870 + 1. assign V601112 = V435680 + 1. assign V829838 = V826081 - 1. assign V264546 = V202522. assign V579110 = V582624 + 1. assign V370978 = V092596 - 1. assign V061892 = V468626. assign V824326 = V468626 + 1. assign V637607 = V865731 + 1. assign V896356 = V619176. assign V278200 = V871215 - 1. assign V888195 = V138081. assign V580329 = V983265. assign V471246 = V261996 + 1. assign V618751 = V697698 - 1. assign V146025 = V579110 - 1. assign V503318 = V439226 - 1. assign V034020 = V534365 + 1. assign V871215 = V023736 - 1. assign V891372 = V168400. assign V819161 = V275773 + 1. assign V865731 = V274502 + 1. assign V878607 = V439226. assign V429706 = V974352 - 1. assign V557109 = V697698 - 1. assign V488686 = V060916. assign V504068 = V060916 + 1. assign V067227 = V439226 + 1. assign V274502 = V871215 - 1. assign V094619 = V202522 + 1. assign V310338 = V888195 - 1. assign V207301 = 10. assign V799622 = V662872. assign V950483 = V275773 + 1. assign V435680 = V083345. assign V492890 = V446661 - 1. assign V662872 = V439226 - 1. assign V871224 = V111568 + 1. assign V828595 = V092596. assign V475872 = V608704 - 1. assign V582624 = V468626 - 1. assign V083159 = V274502 - 1. assign V972750 = V138081. assign V232290 = V435680. assign V060916 = V023736. assign V594820 = V435680. assign V371395 = V826081 + 1. assign V697698 = V950483 + 1. assign V842768 = V697698 + 1. assign V719672 = V799622 - 1. assign V083345 = V092596 - 1. assign V439226 = V871215 + 1. assign V718369 = V662872 - 1. assign V202522 = V146025 + 1. assign V265827 = V871224 - 1. assign V983265 = V824326. assign V608704 = V504068 - 1. assign V275773 = V138081. assign V218353 = V061892 - 1. assign V138081 = V023736 + 1. assign V092596 = V274502. assign V826081 = V202522 + 1. assign V168400 = V534365 + 1. assign V528283 = V871215. assign V343252 = V083345 + 1. assign V819809 = V950483 + 1. assign V277992 = V871215 + 1. assign V633737 = V023736. assign V488315 = V594820 - 1. assign V129201 = V618751 - 1. assign V495335 = V488686 + 1. assign V468626 = V138081. assign V111568 = V274502. assign V602587 = V278200. assign V619176 = V111568. assign V446661 = V083345.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V974352 = V202522 - 1. assign V445540 = V371395. assign V534365 = V274502 - 1. assign V614716 = V207301 + 1. assign V206338 = V264546 - 1. assign V850870 = V034020 + 1. assign V455451 = V637607 + 1. assign V005653 = V850870. assign V261996 = V343252. assign V524971 = V455451 - 1. assign V457049 = V850870 + 1. assign V601112 = V435680 + 1. assign V829838 = V826081 - 1. assign V264546 = V202522. assign V579110 = V582624 + 1. assign V370978 = V092596 - 1. assign V061892 = V468626. assign V824326 = V468626 + 1. assign V637607 = V865731 + 1. assign V896356 = V619176. assign V278200 = V871215 - 1. assign V888195 = V138081. assign V580329 = V983265. assign V471246 = V261996 + 1. assign V618751 = V697698 - 1. assign V146025 = V579110 - 1. assign V503318 = V439226 - 1. assign V034020 = V534365 + 1. assign V871215 = V023736 - 1. assign V891372 = V168400. assign V819161 = V275773 + 1. assign V865731 = V274502 + 1. assign V878607 = V439226. assign V429706 = V974352 - 1. assign V557109 = V697698 - 1. assign V488686 = V060916. assign V504068 = V060916 + 1. assign V067227 = V439226 + 1. assign V274502 = V871215 - 1. assign V094619 = V202522 + 1. assign V310338 = V888195 - 1. assign V207301 = 10. assign V799622 = V662872. assign V950483 = V275773 + 1. assign V435680 = V083345. assign V492890 = V446661 - 1. assign V662872 = V439226 - 1. assign V871224 = V111568 + 1. assign V828595 = V092596. assign V475872 = V608704 - 1. assign V582624 = V468626 - 1. assign V083159 = V274502 - 1. assign V972750 = V138081. assign V232290 = V435680. assign V060916 = V023736. assign V594820 = V435680. assign V371395 = V826081 + 1. assign V697698 = V950483 + 1. assign V842768 = V697698 + 1. assign V719672 = V799622 - 1. assign V083345 = V092596 - 1. assign V439226 = V871215 + 1. assign V718369 = V662872 - 1. assign V202522 = V146025 + 1. assign V265827 = V871224 - 1. assign V983265 = V824326. assign V608704 = V504068 - 1. assign V275773 = V138081. assign V218353 = V061892 - 1. assign V138081 = V023736 + 1. assign V092596 = V274502. assign V826081 = V202522 + 1. assign V168400 = V534365 + 1. assign V528283 = V871215. assign V343252 = V083345 + 1. assign V819809 = V950483 + 1. assign V277992 = V871215 + 1. assign V633737 = V023736. assign V488315 = V594820 - 1. assign V129201 = V618751 - 1. assign V495335 = V488686 + 1. assign V468626 = V138081. assign V111568 = V274502. assign V602587 = V278200. assign V619176 = V111568. assign V446661 = V083345.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV207301 = 10;\n\nFrom these direct assignment(s), we have: \nV614716 = V207301 + 1 = 10 + 1 =11;\nNo other variables can be derived from V614716;\nNo other variables can be derived from V207301;\n\nNow we have done all the calculations. Derived variables are:\nV207301 = 10;\nV614716 = 11;\n\nNow we have finished this problem. ANSWER:\nV207301\n", "role": "assistant" } ]

[ "V756540" ]

[ { "content": "<context>\nassign V121971 = V751893. assign V255529 = V098387 - 1. assign V763812 = V796674 - 1. assign V382596 = V180575 + 1. assign V982096 = V481973. assign V610765 = V554566 - 1. assign V814584 = V554566 + 1. assign V834622 = V256372 - 1. assign V847706 = V224492 + 1. assign V153265 = V756540 + 1. assign V569094 = V180575. assign V461704 = V872333 - 1. assign V751893 = V618585. assign V996758 = V106069. assign V624065 = V351554. assign V419832 = V624065 + 1. assign V858722 = V387943 + 1. assign V538433 = V224492 + 1. assign V387707 = V729987 - 1. assign V599891 = V689996 + 1. assign V181475 = V437508. assign V336301 = V472344 + 1. assign V959240 = V387707. assign V437508 = V387943. assign V182050 = V256372. assign V023616 = V437508 + 1. assign V337870 = V847706. assign V757943 = V224492. assign V223576 = V554566 + 1. assign V728726 = V872333 - 1. assign V219221 = V908669. assign V945230 = V481973. assign V657582 = V902166 - 1. assign V602412 = V256372. assign V933283 = V106069 + 1. assign V180575 = V196721 - 1. assign V224492 = V636119 + 1. assign V796674 = V996758 + 1. assign V455414 = V157092 - 1. assign V157092 = V393208 - 1. assign V605362 = V407298. assign V259905 = V763805. assign V387943 = V763805 + 1. assign V020844 = V455414. assign V527323 = V569094 + 1. assign V950170 = V554566 - 1. assign V049901 = V729987. assign V256372 = V387943 + 1. assign V481973 = V720425. assign V425956 = V847706. assign V407298 = V959240 - 1. assign V198454 = V950170 - 1. assign V756540 = 0. assign V554566 = V834622 + 1. assign V304143 = V049901 + 1. assign V983304 = V419832. assign V636119 = V763805. assign V778791 = V618585. assign V773433 = V098387 + 1. assign V810209 = V618585 - 1. assign V618585 = V387943. assign V656756 = V259905 + 1. assign V729987 = V387943 - 1. assign V106069 = V387707. assign V683220 = V157092. assign V908669 = V751893 - 1. assign V902166 = V351554 + 1. assign V098387 = V554566. assign V051340 = V773433. assign V472344 = V461704 + 1. assign V957939 = V847706. assign V351554 = V933283. assign V002466 = V181475 - 1. assign V689996 = V387707 - 1. assign V082060 = V814584 + 1. assign V393208 = V933283 - 1. assign V201706 = V618585 - 1. assign V887015 = V425956 + 1. assign V196721 = V387943 + 1. assign V720425 = V554566 + 1. assign V724547 = V082060 + 1. assign V328588 = V023616 + 1. assign V944816 = V538433 + 1. assign V445338 = V425956 + 1. assign V872333 = V387707. assign V020788 = V351554 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V121971 = V751893. assign V255529 = V098387 - 1. assign V763812 = V796674 - 1. assign V382596 = V180575 + 1. assign V982096 = V481973. assign V610765 = V554566 - 1. assign V814584 = V554566 + 1. assign V834622 = V256372 - 1. assign V847706 = V224492 + 1. assign V153265 = V756540 + 1. assign V569094 = V180575. assign V461704 = V872333 - 1. assign V751893 = V618585. assign V996758 = V106069. assign V624065 = V351554. assign V419832 = V624065 + 1. assign V858722 = V387943 + 1. assign V538433 = V224492 + 1. assign V387707 = V729987 - 1. assign V599891 = V689996 + 1. assign V181475 = V437508. assign V336301 = V472344 + 1. assign V959240 = V387707. assign V437508 = V387943. assign V182050 = V256372. assign V023616 = V437508 + 1. assign V337870 = V847706. assign V757943 = V224492. assign V223576 = V554566 + 1. assign V728726 = V872333 - 1. assign V219221 = V908669. assign V945230 = V481973. assign V657582 = V902166 - 1. assign V602412 = V256372. assign V933283 = V106069 + 1. assign V180575 = V196721 - 1. assign V224492 = V636119 + 1. assign V796674 = V996758 + 1. assign V455414 = V157092 - 1. assign V157092 = V393208 - 1. assign V605362 = V407298. assign V259905 = V763805. assign V387943 = V763805 + 1. assign V020844 = V455414. assign V527323 = V569094 + 1. assign V950170 = V554566 - 1. assign V049901 = V729987. assign V256372 = V387943 + 1. assign V481973 = V720425. assign V425956 = V847706. assign V407298 = V959240 - 1. assign V198454 = V950170 - 1. assign V756540 = 0. assign V554566 = V834622 + 1. assign V304143 = V049901 + 1. assign V983304 = V419832. assign V636119 = V763805. assign V778791 = V618585. assign V773433 = V098387 + 1. assign V810209 = V618585 - 1. assign V618585 = V387943. assign V656756 = V259905 + 1. assign V729987 = V387943 - 1. assign V106069 = V387707. assign V683220 = V157092. assign V908669 = V751893 - 1. assign V902166 = V351554 + 1. assign V098387 = V554566. assign V051340 = V773433. assign V472344 = V461704 + 1. assign V957939 = V847706. assign V351554 = V933283. assign V002466 = V181475 - 1. assign V689996 = V387707 - 1. assign V082060 = V814584 + 1. assign V393208 = V933283 - 1. assign V201706 = V618585 - 1. assign V887015 = V425956 + 1. assign V196721 = V387943 + 1. assign V720425 = V554566 + 1. assign V724547 = V082060 + 1. assign V328588 = V023616 + 1. assign V944816 = V538433 + 1. assign V445338 = V425956 + 1. assign V872333 = V387707. assign V020788 = V351554 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV756540 = 0;\n\nFrom these direct assignment(s), we have: \nV153265 = V756540 + 1 = 0 + 1 =1;\nNo other variables can be derived from V153265;\nNo other variables can be derived from V756540;\n\nNow we have done all the calculations. Derived variables are:\nV756540 = 0;\nV153265 = 1;\n\nNow we have finished this problem. ANSWER:\nV756540\n", "role": "assistant" } ]

[ "V872901", "V250279" ]

[ { "content": "<context>\nassign V405763 = V364782. assign V689411 = V591549. assign V092440 = V748550. assign V299700 = V707566. assign V270267 = V333055. assign V319749 = V240326. assign V894862 = V120417 - 1. assign V042185 = V562470. assign V616909 = V744191 - 1. assign V750416 = V070268 - 1. assign V400786 = V136070. assign V335202 = V384509. assign V830892 = V364782 - 1. assign V130435 = V335202 - 1. assign V395769 = V434328 - 1. assign V066320 = V384509 - 1. assign V356465 = V251977 - 1. assign V422802 = V251977 - 1. assign V120417 = V251977. assign V199865 = V748550 - 1. assign V671001 = V244299. assign V998168 = V707566 + 1. assign V006573 = V070268 - 1. assign V876785 = V407463 + 1. assign V251977 = V748550 + 1. assign V872901 = 2. assign V147033 = V811897. assign V136070 = V767647. assign V412103 = V830892. assign V145504 = V407463 + 1. assign V265132 = V070268 - 1. assign V669680 = V265132. assign V227618 = V233223 - 1. assign V119094 = V591549 + 1. assign V697838 = V830892. assign V811897 = V748550 - 1. assign V448972 = V240326. assign V142492 = V265132 - 1. assign V407463 = V591549 + 1. assign V923853 = V227618 + 1. assign V281506 = V092440 + 1. assign V037686 = V304719. assign V562470 = V671001 + 1. assign V058461 = V143401 + 1. assign V847825 = V329800 - 1. assign V591549 = V304719 + 1. assign V233223 = V748550. assign V240326 = V384509 + 1. assign V659437 = V697838 + 1. assign V476053 = V335202 - 1. assign V521911 = V299700 + 1. assign V950708 = V244299 + 1. assign V250279 = V872901. assign V750348 = V199865 + 1. assign V364782 = V748550 - 1. assign V833525 = V767647. assign V707566 = V227618 + 1. assign V888884 = V932601 - 1. assign V244299 = V251977 + 1. assign V554349 = V847825 - 1. assign V438538 = V233223 - 1. assign V333055 = V251977. assign V781754 = V407463 + 1. assign V445577 = V066320. assign V271311 = V042185 + 1. assign V733771 = V356465 + 1. assign V304719 = V811897 - 1. assign V521398 = V037686 - 1. assign V767647 = V811897. assign V056456 = V888884. assign V576636 = V240326 + 1. assign V329800 = V748550 - 1. assign V848610 = V233223 - 1. assign V143401 = V767647 - 1. assign V595315 = V120417 + 1. assign V689927 = V244299. assign V434328 = V244299. assign V384509 = V811897 - 1. assign V031191 = V006573. assign V687370 = V142492 + 1. assign V070268 = V233223 + 1. assign V184736 = V251977 + 1. assign V744191 = V697838. assign V432224 = V333055 - 1. assign V473395 = V147033 + 1. assign V932601 = V407463.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V405763 = V364782. assign V689411 = V591549. assign V092440 = V748550. assign V299700 = V707566. assign V270267 = V333055. assign V319749 = V240326. assign V894862 = V120417 - 1. assign V042185 = V562470. assign V616909 = V744191 - 1. assign V750416 = V070268 - 1. assign V400786 = V136070. assign V335202 = V384509. assign V830892 = V364782 - 1. assign V130435 = V335202 - 1. assign V395769 = V434328 - 1. assign V066320 = V384509 - 1. assign V356465 = V251977 - 1. assign V422802 = V251977 - 1. assign V120417 = V251977. assign V199865 = V748550 - 1. assign V671001 = V244299. assign V998168 = V707566 + 1. assign V006573 = V070268 - 1. assign V876785 = V407463 + 1. assign V251977 = V748550 + 1. assign V872901 = 2. assign V147033 = V811897. assign V136070 = V767647. assign V412103 = V830892. assign V145504 = V407463 + 1. assign V265132 = V070268 - 1. assign V669680 = V265132. assign V227618 = V233223 - 1. assign V119094 = V591549 + 1. assign V697838 = V830892. assign V811897 = V748550 - 1. assign V448972 = V240326. assign V142492 = V265132 - 1. assign V407463 = V591549 + 1. assign V923853 = V227618 + 1. assign V281506 = V092440 + 1. assign V037686 = V304719. assign V562470 = V671001 + 1. assign V058461 = V143401 + 1. assign V847825 = V329800 - 1. assign V591549 = V304719 + 1. assign V233223 = V748550. assign V240326 = V384509 + 1. assign V659437 = V697838 + 1. assign V476053 = V335202 - 1. assign V521911 = V299700 + 1. assign V950708 = V244299 + 1. assign V250279 = V872901. assign V750348 = V199865 + 1. assign V364782 = V748550 - 1. assign V833525 = V767647. assign V707566 = V227618 + 1. assign V888884 = V932601 - 1. assign V244299 = V251977 + 1. assign V554349 = V847825 - 1. assign V438538 = V233223 - 1. assign V333055 = V251977. assign V781754 = V407463 + 1. assign V445577 = V066320. assign V271311 = V042185 + 1. assign V733771 = V356465 + 1. assign V304719 = V811897 - 1. assign V521398 = V037686 - 1. assign V767647 = V811897. assign V056456 = V888884. assign V576636 = V240326 + 1. assign V329800 = V748550 - 1. assign V848610 = V233223 - 1. assign V143401 = V767647 - 1. assign V595315 = V120417 + 1. assign V689927 = V244299. assign V434328 = V244299. assign V384509 = V811897 - 1. assign V031191 = V006573. assign V687370 = V142492 + 1. assign V070268 = V233223 + 1. assign V184736 = V251977 + 1. assign V744191 = V697838. assign V432224 = V333055 - 1. assign V473395 = V147033 + 1. assign V932601 = V407463.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV872901 = 2;\n\nFrom these direct assignment(s), we have: \nV250279 = V872901 = 2;\nNo other variables can be derived from V250279;\nNo other variables can be derived from V872901;\n\nNow we have done all the calculations. Derived variables are:\nV872901 = 2;\nV250279 = 2;\n\nNow we have finished this problem. ANSWER:\nV872901, V250279\n", "role": "assistant" } ]

[ "V247777" ]

[ { "content": "<context>\nassign V710031 = V667597 - 1. assign V214503 = V389975 + 1. assign V569865 = V670759. assign V209924 = V075340. assign V075340 = V135070 + 1. assign V552208 = V302185 - 1. assign V920331 = V810348 + 1. assign V889905 = V721710 - 1. assign V001109 = V914167 - 1. assign V010141 = V710031. assign V626693 = V005135 + 1. assign V022412 = V914167 - 1. assign V449963 = V134446 - 1. assign V775894 = V565556 + 1. assign V612456 = V473004 - 1. assign V520298 = V290322 - 1. assign V005135 = V081819 - 1. assign V299329 = V569865. assign V402829 = V078424 - 1. assign V956139 = V299329 - 1. assign V441809 = V129671 - 1. assign V953368 = V078424. assign V113051 = V579749 - 1. assign V914167 = V552208. assign V795413 = V001109 + 1. assign V457300 = V289330 - 1. assign V419202 = V289330 - 1. assign V913229 = V222722. assign V625846 = V579749. assign V421741 = V389975. assign V612738 = V579749. assign V041520 = V795413. assign V134446 = V289330. assign V736619 = V419202. assign V819218 = V290322 + 1. assign V078424 = V914167 + 1. assign V667597 = V552208 + 1. assign V579749 = V552208. assign V290322 = V612456 - 1. assign V161637 = V441809. assign V613153 = V222722 - 1. assign V302185 = V670759. assign V528530 = V222722 - 1. assign V230709 = V701280. assign V810348 = V419202 + 1. assign V830618 = V113051. assign V721710 = V222722. assign V473004 = V299329 - 1. assign V454900 = V230709 - 1. assign V369488 = V914167 + 1. assign V081819 = V569865 + 1. assign V222722 = V299329 - 1. assign V819343 = V010141 - 1. assign V366290 = V441809 - 1. assign V135070 = V569865 - 1. assign V631786 = V457300 - 1. assign V584403 = V369488. assign V021450 = V625846 + 1. assign V457650 = V350070 - 1. assign V679401 = V914167 + 1. assign V345718 = V670759 - 1. assign V790737 = V569865. assign V289330 = V302185 - 1. assign V162594 = V473004 - 1. assign V126046 = V135070. assign V129671 = V081819 - 1. assign V350070 = V473004. assign V651983 = V081819 + 1. assign V989935 = V473004 - 1. assign V097480 = V350070. assign V309369 = V449963. assign V432371 = V721710 - 1. assign V466474 = V454900 + 1. assign V586946 = V369488. assign V486726 = V247777 - 1. assign V371526 = V423857. assign V565556 = V569865. assign V821547 = V473004 + 1. assign V247777 = 0. assign V701280 = V569865 - 1. assign V423857 = V473004 - 1. assign V114829 = V350070. assign V337606 = V721710 + 1. assign V859911 = V129671. assign V910411 = V299329. assign V389975 = V078424 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V710031 = V667597 - 1. assign V214503 = V389975 + 1. assign V569865 = V670759. assign V209924 = V075340. assign V075340 = V135070 + 1. assign V552208 = V302185 - 1. assign V920331 = V810348 + 1. assign V889905 = V721710 - 1. assign V001109 = V914167 - 1. assign V010141 = V710031. assign V626693 = V005135 + 1. assign V022412 = V914167 - 1. assign V449963 = V134446 - 1. assign V775894 = V565556 + 1. assign V612456 = V473004 - 1. assign V520298 = V290322 - 1. assign V005135 = V081819 - 1. assign V299329 = V569865. assign V402829 = V078424 - 1. assign V956139 = V299329 - 1. assign V441809 = V129671 - 1. assign V953368 = V078424. assign V113051 = V579749 - 1. assign V914167 = V552208. assign V795413 = V001109 + 1. assign V457300 = V289330 - 1. assign V419202 = V289330 - 1. assign V913229 = V222722. assign V625846 = V579749. assign V421741 = V389975. assign V612738 = V579749. assign V041520 = V795413. assign V134446 = V289330. assign V736619 = V419202. assign V819218 = V290322 + 1. assign V078424 = V914167 + 1. assign V667597 = V552208 + 1. assign V579749 = V552208. assign V290322 = V612456 - 1. assign V161637 = V441809. assign V613153 = V222722 - 1. assign V302185 = V670759. assign V528530 = V222722 - 1. assign V230709 = V701280. assign V810348 = V419202 + 1. assign V830618 = V113051. assign V721710 = V222722. assign V473004 = V299329 - 1. assign V454900 = V230709 - 1. assign V369488 = V914167 + 1. assign V081819 = V569865 + 1. assign V222722 = V299329 - 1. assign V819343 = V010141 - 1. assign V366290 = V441809 - 1. assign V135070 = V569865 - 1. assign V631786 = V457300 - 1. assign V584403 = V369488. assign V021450 = V625846 + 1. assign V457650 = V350070 - 1. assign V679401 = V914167 + 1. assign V345718 = V670759 - 1. assign V790737 = V569865. assign V289330 = V302185 - 1. assign V162594 = V473004 - 1. assign V126046 = V135070. assign V129671 = V081819 - 1. assign V350070 = V473004. assign V651983 = V081819 + 1. assign V989935 = V473004 - 1. assign V097480 = V350070. assign V309369 = V449963. assign V432371 = V721710 - 1. assign V466474 = V454900 + 1. assign V586946 = V369488. assign V486726 = V247777 - 1. assign V371526 = V423857. assign V565556 = V569865. assign V821547 = V473004 + 1. assign V247777 = 0. assign V701280 = V569865 - 1. assign V423857 = V473004 - 1. assign V114829 = V350070. assign V337606 = V721710 + 1. assign V859911 = V129671. assign V910411 = V299329. assign V389975 = V078424 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV247777 = 0;\n\nFrom these direct assignment(s), we have: \nV486726 = V247777 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V486726;\nNo other variables can be derived from V247777;\n\nNow we have done all the calculations. Derived variables are:\nV247777 = 0;\nV486726 = -1;\n\nNow we have finished this problem. ANSWER:\nV247777\n", "role": "assistant" } ]

[ "V041275" ]

[ { "content": "<context>\nassign V030238 = V183486 + 1. assign V183486 = V899501 + 1. assign V632886 = V517109 + 1. assign V922249 = V322197. assign V215499 = V270652 + 1. assign V548501 = V575660. assign V168742 = V575660 + 1. assign V840707 = V959980 + 1. assign V858962 = V219329. assign V242523 = V652890 - 1. assign V219283 = V534378 - 1. assign V702628 = V817422 - 1. assign V526197 = V840707 - 1. assign V374700 = V155878. assign V349169 = V420006. assign V758425 = V652890 + 1. assign V899501 = V322197 + 1. assign V838221 = V187681 + 1. assign V952928 = V083571 + 1. assign V549758 = V041275 - 1. assign V268737 = V235581. assign V690623 = V187681. assign V067824 = V517109 + 1. assign V344716 = V242523 + 1. assign V392001 = V215499 + 1. assign V529979 = V005935 + 1. assign V219329 = V980267 + 1. assign V366466 = V719451 - 1. assign V966552 = V517109 - 1. assign V764042 = V337210 + 1. assign V946311 = V067824 + 1. assign V187681 = V966552. assign V041275 = 7. assign V337210 = V283492 + 1. assign V734334 = V128288. assign V278617 = V283492 - 1. assign V220992 = V980267. assign V083571 = V349169 - 1. assign V567590 = V030238. assign V617343 = V420006 + 1. assign V703670 = V719451. assign V177121 = V575660 + 1. assign V685960 = V177121 - 1. assign V401789 = V761709 + 1. assign V698681 = V005935 + 1. assign V652890 = V603591. assign V611958 = V534378 - 1. assign V761709 = V633019 - 1. assign V931220 = V215499. assign V155878 = V690623 + 1. assign V127276 = V734334 - 1. assign V714899 = V603591. assign V353142 = V858039 + 1. assign V317447 = V067824. assign V128288 = V283492. assign V560953 = V183486 - 1. assign V420006 = V278617. assign V619276 = V817422 + 1. assign V034150 = V517109. assign V776864 = V030238 - 1. assign V603591 = V283492 - 1. assign V959980 = V702628 - 1. assign V581025 = V548501. assign V094418 = V177121 - 1. assign V575660 = V652890 + 1. assign V791647 = V278617. assign V678331 = V497167 + 1. assign V235581 = V817422 - 1. assign V005935 = V187681. assign V372908 = V761709 + 1. assign V164840 = V534378 - 1. assign V322197 = V517109. assign V517109 = V283492 - 1. assign V980267 = V922249. assign V734803 = V128288. assign V817422 = V278617 - 1. assign V982004 = V534378. assign V256585 = V858962 - 1. assign V633019 = V966552. assign V178037 = V372908 - 1. assign V270652 = V690623 - 1. assign V719451 = V270652. assign V858039 = V034150 - 1. assign V534378 = V652890. assign V497167 = V128288 - 1. assign V527067 = V581025 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V030238 = V183486 + 1. assign V183486 = V899501 + 1. assign V632886 = V517109 + 1. assign V922249 = V322197. assign V215499 = V270652 + 1. assign V548501 = V575660. assign V168742 = V575660 + 1. assign V840707 = V959980 + 1. assign V858962 = V219329. assign V242523 = V652890 - 1. assign V219283 = V534378 - 1. assign V702628 = V817422 - 1. assign V526197 = V840707 - 1. assign V374700 = V155878. assign V349169 = V420006. assign V758425 = V652890 + 1. assign V899501 = V322197 + 1. assign V838221 = V187681 + 1. assign V952928 = V083571 + 1. assign V549758 = V041275 - 1. assign V268737 = V235581. assign V690623 = V187681. assign V067824 = V517109 + 1. assign V344716 = V242523 + 1. assign V392001 = V215499 + 1. assign V529979 = V005935 + 1. assign V219329 = V980267 + 1. assign V366466 = V719451 - 1. assign V966552 = V517109 - 1. assign V764042 = V337210 + 1. assign V946311 = V067824 + 1. assign V187681 = V966552. assign V041275 = 7. assign V337210 = V283492 + 1. assign V734334 = V128288. assign V278617 = V283492 - 1. assign V220992 = V980267. assign V083571 = V349169 - 1. assign V567590 = V030238. assign V617343 = V420006 + 1. assign V703670 = V719451. assign V177121 = V575660 + 1. assign V685960 = V177121 - 1. assign V401789 = V761709 + 1. assign V698681 = V005935 + 1. assign V652890 = V603591. assign V611958 = V534378 - 1. assign V761709 = V633019 - 1. assign V931220 = V215499. assign V155878 = V690623 + 1. assign V127276 = V734334 - 1. assign V714899 = V603591. assign V353142 = V858039 + 1. assign V317447 = V067824. assign V128288 = V283492. assign V560953 = V183486 - 1. assign V420006 = V278617. assign V619276 = V817422 + 1. assign V034150 = V517109. assign V776864 = V030238 - 1. assign V603591 = V283492 - 1. assign V959980 = V702628 - 1. assign V581025 = V548501. assign V094418 = V177121 - 1. assign V575660 = V652890 + 1. assign V791647 = V278617. assign V678331 = V497167 + 1. assign V235581 = V817422 - 1. assign V005935 = V187681. assign V372908 = V761709 + 1. assign V164840 = V534378 - 1. assign V322197 = V517109. assign V517109 = V283492 - 1. assign V980267 = V922249. assign V734803 = V128288. assign V817422 = V278617 - 1. assign V982004 = V534378. assign V256585 = V858962 - 1. assign V633019 = V966552. assign V178037 = V372908 - 1. assign V270652 = V690623 - 1. assign V719451 = V270652. assign V858039 = V034150 - 1. assign V534378 = V652890. assign V497167 = V128288 - 1. assign V527067 = V581025 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV041275 = 7;\n\nFrom these direct assignment(s), we have: \nV549758 = V041275 - 1 = 7 - 1 =6;\nNo other variables can be derived from V549758;\nNo other variables can be derived from V041275;\n\nNow we have done all the calculations. Derived variables are:\nV041275 = 7;\nV549758 = 6;\n\nNow we have finished this problem. ANSWER:\nV041275\n", "role": "assistant" } ]

[ "V396739", "V383938" ]

[ { "content": "<context>\nassign V165068 = V374579 - 1. assign V030119 = V674801 - 1. assign V702986 = V738110 + 1. assign V523661 = V039540. assign V656988 = V106251 - 1. assign V040270 = V550996 + 1. assign V479974 = V613730 - 1. assign V813857 = V822166 - 1. assign V212562 = V855959 - 1. assign V737818 = V374579 + 1. assign V227063 = V550996 + 1. assign V401567 = V749079. assign V383938 = V396739. assign V160895 = V156080 - 1. assign V675634 = V607859 - 1. assign V674801 = V737818 + 1. assign V115021 = V192606 + 1. assign V581243 = V822166 + 1. assign V144400 = V495492 + 1. assign V240536 = V855959 - 1. assign V428881 = V550996 + 1. assign V905555 = V428881 - 1. assign V267670 = V495492 - 1. assign V859752 = V039540 - 1. assign V335609 = V419025. assign V793939 = V330157 - 1. assign V318466 = V374579 + 1. assign V374542 = V240536. assign V191927 = V223586 + 1. assign V738110 = V169672 - 1. assign V446244 = V106251 + 1. assign V486118 = V553458 - 1. assign V936167 = V165068. assign V719487 = V796645. assign V323523 = V239394 + 1. assign V192606 = V936167. assign V150674 = V428881 + 1. assign V553458 = V240536 - 1. assign V217651 = V203886 + 1. assign V053946 = V290201. assign V749079 = V550996. assign V796645 = V479974 - 1. assign V290201 = V674801 + 1. assign V301627 = V628512. assign V287513 = V318466 + 1. assign V369499 = V920239. assign V886873 = V401567 + 1. assign V203886 = V301627. assign V106251 = V428881 + 1. assign V855959 = V374579 + 1. assign V039540 = V628512. assign V235807 = V203886 + 1. assign V422781 = V063002 + 1. assign V535387 = V335609 - 1. assign V495944 = V428881 - 1. assign V239394 = V428881 + 1. assign V010460 = V330157. assign V130911 = V150674 - 1. assign V607859 = V212562 + 1. assign V822166 = V737818 + 1. assign V159719 = V301627 - 1. assign V862396 = V235807. assign V419025 = V428881. assign V495492 = V550996 - 1. assign V628512 = V165068 + 1. assign V920239 = V240536 - 1. assign V940827 = V674801 - 1. assign V550996 = V374579. assign V169672 = V165068 - 1. assign V330157 = V749079. assign V824499 = V813857 - 1. assign V156080 = V159719 + 1. assign V049482 = V150674 + 1. assign V799841 = V495492. assign V734227 = V240536. assign V396739 = 7. assign V063002 = V855959 + 1. assign V266031 = V223586 - 1. assign V895285 = V330157. assign V223586 = V749079. assign V341254 = V106251. assign V148692 = V523661. assign V613320 = V920239 + 1. assign V790713 = V422781 + 1. assign V613730 = V822166 - 1. assign V100072 = V191927 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V165068 = V374579 - 1. assign V030119 = V674801 - 1. assign V702986 = V738110 + 1. assign V523661 = V039540. assign V656988 = V106251 - 1. assign V040270 = V550996 + 1. assign V479974 = V613730 - 1. assign V813857 = V822166 - 1. assign V212562 = V855959 - 1. assign V737818 = V374579 + 1. assign V227063 = V550996 + 1. assign V401567 = V749079. assign V383938 = V396739. assign V160895 = V156080 - 1. assign V675634 = V607859 - 1. assign V674801 = V737818 + 1. assign V115021 = V192606 + 1. assign V581243 = V822166 + 1. assign V144400 = V495492 + 1. assign V240536 = V855959 - 1. assign V428881 = V550996 + 1. assign V905555 = V428881 - 1. assign V267670 = V495492 - 1. assign V859752 = V039540 - 1. assign V335609 = V419025. assign V793939 = V330157 - 1. assign V318466 = V374579 + 1. assign V374542 = V240536. assign V191927 = V223586 + 1. assign V738110 = V169672 - 1. assign V446244 = V106251 + 1. assign V486118 = V553458 - 1. assign V936167 = V165068. assign V719487 = V796645. assign V323523 = V239394 + 1. assign V192606 = V936167. assign V150674 = V428881 + 1. assign V553458 = V240536 - 1. assign V217651 = V203886 + 1. assign V053946 = V290201. assign V749079 = V550996. assign V796645 = V479974 - 1. assign V290201 = V674801 + 1. assign V301627 = V628512. assign V287513 = V318466 + 1. assign V369499 = V920239. assign V886873 = V401567 + 1. assign V203886 = V301627. assign V106251 = V428881 + 1. assign V855959 = V374579 + 1. assign V039540 = V628512. assign V235807 = V203886 + 1. assign V422781 = V063002 + 1. assign V535387 = V335609 - 1. assign V495944 = V428881 - 1. assign V239394 = V428881 + 1. assign V010460 = V330157. assign V130911 = V150674 - 1. assign V607859 = V212562 + 1. assign V822166 = V737818 + 1. assign V159719 = V301627 - 1. assign V862396 = V235807. assign V419025 = V428881. assign V495492 = V550996 - 1. assign V628512 = V165068 + 1. assign V920239 = V240536 - 1. assign V940827 = V674801 - 1. assign V550996 = V374579. assign V169672 = V165068 - 1. assign V330157 = V749079. assign V824499 = V813857 - 1. assign V156080 = V159719 + 1. assign V049482 = V150674 + 1. assign V799841 = V495492. assign V734227 = V240536. assign V396739 = 7. assign V063002 = V855959 + 1. assign V266031 = V223586 - 1. assign V895285 = V330157. assign V223586 = V749079. assign V341254 = V106251. assign V148692 = V523661. assign V613320 = V920239 + 1. assign V790713 = V422781 + 1. assign V613730 = V822166 - 1. assign V100072 = V191927 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV396739 = 7;\n\nFrom these direct assignment(s), we have: \nV383938 = V396739 = 7;\nNo other variables can be derived from V383938;\nNo other variables can be derived from V396739;\n\nNow we have done all the calculations. Derived variables are:\nV396739 = 7;\nV383938 = 7;\n\nNow we have finished this problem. ANSWER:\nV396739, V383938\n", "role": "assistant" } ]

[ "V891989", "V384314" ]

[ { "content": "<context>\nassign V412597 = V722350. assign V401639 = V130289 + 1. assign V572183 = V123146 + 1. assign V186087 = V752954 - 1. assign V862285 = V605192 - 1. assign V133739 = V435529. assign V957850 = V952283 + 1. assign V895469 = V605543. assign V176855 = V839602 + 1. assign V791172 = V752954. assign V258446 = V123146 + 1. assign V844643 = V064841 - 1. assign V211353 = V554267. assign V169015 = V177181 + 1. assign V757216 = V486405. assign V052445 = V412597. assign V605192 = V839602 - 1. assign V889469 = V881407 - 1. assign V770300 = V186087 - 1. assign V952283 = V605543. assign V691673 = V618823 + 1. assign V223944 = V964581 - 1. assign V881407 = V859579. assign V449363 = V957850 + 1. assign V304254 = V554267. assign V311884 = V343758 - 1. assign V173021 = V839602. assign V722350 = V167516 - 1. assign V999646 = V955803. assign V891515 = V647262. assign V435529 = V000138. assign V064841 = V177181 - 1. assign V130289 = V167516 + 1. assign V486405 = V200893 + 1. assign V877562 = V952283 + 1. assign V864055 = V805484. assign V964581 = V605543. assign V209889 = V881407 + 1. assign V102651 = V641581. assign V628967 = V877562. assign V343758 = V722350. assign V641581 = V608440 - 1. assign V703163 = V400263 - 1. assign V413923 = V805484 - 1. assign V400263 = V588617. assign V605543 = V641581 + 1. assign V233927 = V839602 + 1. assign V734661 = V123146 + 1. assign V177181 = V608440. assign V123146 = V167516. assign V554267 = V618823 + 1. assign V842743 = V199285 - 1. assign V618823 = V722350. assign V384314 = V891989. assign V023464 = V770300 - 1. assign V140510 = V770300 + 1. assign V000138 = V842743. assign V588103 = V199285 - 1. assign V317789 = V955803 + 1. assign V752954 = V641581 - 1. assign V504304 = V010511. assign V359289 = V412597. assign V805484 = V957850 + 1. assign V200893 = V554267 - 1. assign V788679 = V412597. assign V018680 = V199285 - 1. assign V891989 = 1. assign V996296 = V691673 + 1. assign V593061 = V052445. assign V237274 = V176855 - 1. assign V192611 = V177181 - 1. assign V010511 = V618823 - 1. assign V859579 = V952283. assign V199285 = V064841 - 1. assign V582895 = V359289. assign V364667 = V199285. assign V908014 = V186087 - 1. assign V018525 = V646326 + 1. assign V646326 = V167516. assign V647262 = V964581 + 1. assign V955803 = V791172 + 1. assign V914396 = V908014. assign V167516 = V608440 + 1. assign V839602 = V311884. assign V238475 = V722350 + 1. assign V588617 = V199285.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V412597 = V722350. assign V401639 = V130289 + 1. assign V572183 = V123146 + 1. assign V186087 = V752954 - 1. assign V862285 = V605192 - 1. assign V133739 = V435529. assign V957850 = V952283 + 1. assign V895469 = V605543. assign V176855 = V839602 + 1. assign V791172 = V752954. assign V258446 = V123146 + 1. assign V844643 = V064841 - 1. assign V211353 = V554267. assign V169015 = V177181 + 1. assign V757216 = V486405. assign V052445 = V412597. assign V605192 = V839602 - 1. assign V889469 = V881407 - 1. assign V770300 = V186087 - 1. assign V952283 = V605543. assign V691673 = V618823 + 1. assign V223944 = V964581 - 1. assign V881407 = V859579. assign V449363 = V957850 + 1. assign V304254 = V554267. assign V311884 = V343758 - 1. assign V173021 = V839602. assign V722350 = V167516 - 1. assign V999646 = V955803. assign V891515 = V647262. assign V435529 = V000138. assign V064841 = V177181 - 1. assign V130289 = V167516 + 1. assign V486405 = V200893 + 1. assign V877562 = V952283 + 1. assign V864055 = V805484. assign V964581 = V605543. assign V209889 = V881407 + 1. assign V102651 = V641581. assign V628967 = V877562. assign V343758 = V722350. assign V641581 = V608440 - 1. assign V703163 = V400263 - 1. assign V413923 = V805484 - 1. assign V400263 = V588617. assign V605543 = V641581 + 1. assign V233927 = V839602 + 1. assign V734661 = V123146 + 1. assign V177181 = V608440. assign V123146 = V167516. assign V554267 = V618823 + 1. assign V842743 = V199285 - 1. assign V618823 = V722350. assign V384314 = V891989. assign V023464 = V770300 - 1. assign V140510 = V770300 + 1. assign V000138 = V842743. assign V588103 = V199285 - 1. assign V317789 = V955803 + 1. assign V752954 = V641581 - 1. assign V504304 = V010511. assign V359289 = V412597. assign V805484 = V957850 + 1. assign V200893 = V554267 - 1. assign V788679 = V412597. assign V018680 = V199285 - 1. assign V891989 = 1. assign V996296 = V691673 + 1. assign V593061 = V052445. assign V237274 = V176855 - 1. assign V192611 = V177181 - 1. assign V010511 = V618823 - 1. assign V859579 = V952283. assign V199285 = V064841 - 1. assign V582895 = V359289. assign V364667 = V199285. assign V908014 = V186087 - 1. assign V018525 = V646326 + 1. assign V646326 = V167516. assign V647262 = V964581 + 1. assign V955803 = V791172 + 1. assign V914396 = V908014. assign V167516 = V608440 + 1. assign V839602 = V311884. assign V238475 = V722350 + 1. assign V588617 = V199285.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV891989 = 1;\n\nFrom these direct assignment(s), we have: \nV384314 = V891989 = 1;\nNo other variables can be derived from V384314;\nNo other variables can be derived from V891989;\n\nNow we have done all the calculations. Derived variables are:\nV891989 = 1;\nV384314 = 1;\n\nNow we have finished this problem. ANSWER:\nV891989, V384314\n", "role": "assistant" } ]

[ "V190965", "V724562" ]

[ { "content": "<context>\nassign V415337 = V015834. assign V955022 = V299145 - 1. assign V613312 = V782073 - 1. assign V414618 = V397831 + 1. assign V005335 = V938997. assign V447989 = V775991 - 1. assign V039979 = V005335. assign V929001 = V616632 + 1. assign V624761 = V551422. assign V775991 = V204904 + 1. assign V531262 = V019180 + 1. assign V463205 = V941168. assign V264923 = V039979. assign V780415 = V316998 + 1. assign V881697 = V204904. assign V633767 = V179925 + 1. assign V059300 = V998316 - 1. assign V097768 = V555402. assign V051703 = V780415 - 1. assign V179925 = V879217 - 1. assign V879217 = V204904 - 1. assign V316998 = V551422 - 1. assign V010743 = V624761. assign V439340 = V179925 - 1. assign V792052 = V782073 - 1. assign V758608 = V397831 + 1. assign V998316 = V782073 + 1. assign V784115 = V010493 - 1. assign V941168 = V256144 - 1. assign V687346 = V408353. assign V717397 = V792052. assign V424550 = V775991 + 1. assign V421177 = V256144. assign V342434 = V120108 + 1. assign V229050 = V879217 + 1. assign V602868 = V496666. assign V674630 = V775991 + 1. assign V421079 = V879217. assign V775999 = V521722 - 1. assign V317607 = V421079. assign V397831 = V551422. assign V318577 = V602868. assign V336497 = V342434. assign V555402 = V674630 - 1. assign V408353 = V317607 - 1. assign V791169 = V070818 + 1. assign V724562 = V190965. assign V366656 = V005335 + 1. assign V708695 = V602868. assign V496666 = V005335. assign V190965 = 0. assign V726441 = V120108. assign V701831 = V955022. assign V938997 = V316998. assign V782073 = V229050 + 1. assign V962085 = V316998 - 1. assign V256144 = V397831 - 1. assign V010493 = V204904 - 1. assign V521722 = V726441. assign V483057 = V421079 + 1. assign V015834 = V879217 - 1. assign V070818 = V624761 + 1. assign V625064 = V938997. assign V475268 = V521722. assign V135706 = V229050 - 1. assign V395413 = V780415 - 1. assign V019180 = V551422 + 1. assign V551422 = V204904. assign V325098 = V616632 - 1. assign V290292 = V780415. assign V370556 = V316998 + 1. assign V195648 = V370556 + 1. assign V702125 = V701831 - 1. assign V546325 = V421079 + 1. assign V320934 = V179925 - 1. assign V659745 = V775991 - 1. assign V330138 = V229050 - 1. assign V616632 = V317607. assign V790672 = V097768 - 1. assign V125510 = V780415 - 1. assign V120108 = V179925. assign V299145 = V397831 - 1. assign V463581 = V264923 - 1. assign V102262 = V701831 + 1. assign V107247 = V602868. assign V747889 = V010743.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V415337 = V015834. assign V955022 = V299145 - 1. assign V613312 = V782073 - 1. assign V414618 = V397831 + 1. assign V005335 = V938997. assign V447989 = V775991 - 1. assign V039979 = V005335. assign V929001 = V616632 + 1. assign V624761 = V551422. assign V775991 = V204904 + 1. assign V531262 = V019180 + 1. assign V463205 = V941168. assign V264923 = V039979. assign V780415 = V316998 + 1. assign V881697 = V204904. assign V633767 = V179925 + 1. assign V059300 = V998316 - 1. assign V097768 = V555402. assign V051703 = V780415 - 1. assign V179925 = V879217 - 1. assign V879217 = V204904 - 1. assign V316998 = V551422 - 1. assign V010743 = V624761. assign V439340 = V179925 - 1. assign V792052 = V782073 - 1. assign V758608 = V397831 + 1. assign V998316 = V782073 + 1. assign V784115 = V010493 - 1. assign V941168 = V256144 - 1. assign V687346 = V408353. assign V717397 = V792052. assign V424550 = V775991 + 1. assign V421177 = V256144. assign V342434 = V120108 + 1. assign V229050 = V879217 + 1. assign V602868 = V496666. assign V674630 = V775991 + 1. assign V421079 = V879217. assign V775999 = V521722 - 1. assign V317607 = V421079. assign V397831 = V551422. assign V318577 = V602868. assign V336497 = V342434. assign V555402 = V674630 - 1. assign V408353 = V317607 - 1. assign V791169 = V070818 + 1. assign V724562 = V190965. assign V366656 = V005335 + 1. assign V708695 = V602868. assign V496666 = V005335. assign V190965 = 0. assign V726441 = V120108. assign V701831 = V955022. assign V938997 = V316998. assign V782073 = V229050 + 1. assign V962085 = V316998 - 1. assign V256144 = V397831 - 1. assign V010493 = V204904 - 1. assign V521722 = V726441. assign V483057 = V421079 + 1. assign V015834 = V879217 - 1. assign V070818 = V624761 + 1. assign V625064 = V938997. assign V475268 = V521722. assign V135706 = V229050 - 1. assign V395413 = V780415 - 1. assign V019180 = V551422 + 1. assign V551422 = V204904. assign V325098 = V616632 - 1. assign V290292 = V780415. assign V370556 = V316998 + 1. assign V195648 = V370556 + 1. assign V702125 = V701831 - 1. assign V546325 = V421079 + 1. assign V320934 = V179925 - 1. assign V659745 = V775991 - 1. assign V330138 = V229050 - 1. assign V616632 = V317607. assign V790672 = V097768 - 1. assign V125510 = V780415 - 1. assign V120108 = V179925. assign V299145 = V397831 - 1. assign V463581 = V264923 - 1. assign V102262 = V701831 + 1. assign V107247 = V602868. assign V747889 = V010743.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV190965 = 0;\n\nFrom these direct assignment(s), we have: \nV724562 = V190965 = 0;\nNo other variables can be derived from V724562;\nNo other variables can be derived from V190965;\n\nNow we have done all the calculations. Derived variables are:\nV190965 = 0;\nV724562 = 0;\n\nNow we have finished this problem. ANSWER:\nV190965, V724562\n", "role": "assistant" } ]

[ "V111170" ]

[ { "content": "<context>\nassign V362940 = V798034 - 1. assign V383354 = V638794 - 1. assign V388694 = V353069. assign V334548 = V427905 - 1. assign V270221 = V127362 - 1. assign V339849 = V607851 - 1. assign V053160 = V403506 - 1. assign V426391 = V201018 + 1. assign V475084 = V658092. assign V200054 = V127362. assign V798034 = V658092 + 1. assign V247796 = V053160. assign V980365 = V818707 + 1. assign V110794 = V938117. assign V901278 = V113780 + 1. assign V658092 = V938117. assign V527995 = V427905 + 1. assign V288714 = V450119 - 1. assign V336744 = V334548. assign V008348 = V270221 - 1. assign V259819 = V427905. assign V725216 = V126237 - 1. assign V731456 = V475084 + 1. assign V416959 = V319953. assign V126237 = V419996 - 1. assign V127362 = V304217. assign V419996 = V938117 - 1. assign V818659 = V638794 - 1. assign V623255 = V200054. assign V134997 = V596713. assign V340098 = V968205 + 1. assign V427905 = V938117. assign V426672 = V658092 - 1. assign V648840 = V427271. assign V113780 = V450119 + 1. assign V638794 = V798034 + 1. assign V369488 = V873598 + 1. assign V873598 = V427271 - 1. assign V323975 = V127362. assign V748355 = V427271. assign V964360 = V426672. assign V450119 = V427905 + 1. assign V582463 = V319953 - 1. assign V956938 = V417831. assign V096608 = V607851 - 1. assign V819940 = V200054 - 1. assign V707778 = V427271 - 1. assign V010136 = V638794. assign V596713 = V353069. assign V644512 = V427905 - 1. assign V751061 = V826405. assign V027762 = V427905. assign V366756 = V819940 - 1. assign V417831 = V427905. assign V948755 = V304217. assign V968205 = V259819 - 1. assign V818707 = V507787 - 1. assign V507787 = V319953 + 1. assign V111170 = 8. assign V427271 = V127362 + 1. assign V132443 = V427905 - 1. assign V353069 = V419996 + 1. assign V826405 = V818707 + 1. assign V235371 = V111170 - 1. assign V238355 = V658092. assign V202956 = V027762 + 1. assign V361826 = V956938 + 1. assign V201018 = V658092. assign V938117 = V319953 - 1. assign V617091 = V127362 + 1. assign V570640 = V369488. assign V060495 = V707778 + 1. assign V446440 = V053160. assign V778775 = V247796 + 1. assign V988608 = V353069 - 1. assign V403506 = V948755 + 1. assign V774338 = V127362 - 1. assign V304217 = V938117 + 1. assign V985020 = V427271 + 1. assign V698076 = V751061 - 1. assign V607851 = V134997 - 1. assign V224655 = V353069 - 1. assign V251032 = V288714 + 1. assign V579622 = V751061 + 1. assign V545422 = V060495. assign V393841 = V132443.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V362940 = V798034 - 1. assign V383354 = V638794 - 1. assign V388694 = V353069. assign V334548 = V427905 - 1. assign V270221 = V127362 - 1. assign V339849 = V607851 - 1. assign V053160 = V403506 - 1. assign V426391 = V201018 + 1. assign V475084 = V658092. assign V200054 = V127362. assign V798034 = V658092 + 1. assign V247796 = V053160. assign V980365 = V818707 + 1. assign V110794 = V938117. assign V901278 = V113780 + 1. assign V658092 = V938117. assign V527995 = V427905 + 1. assign V288714 = V450119 - 1. assign V336744 = V334548. assign V008348 = V270221 - 1. assign V259819 = V427905. assign V725216 = V126237 - 1. assign V731456 = V475084 + 1. assign V416959 = V319953. assign V126237 = V419996 - 1. assign V127362 = V304217. assign V419996 = V938117 - 1. assign V818659 = V638794 - 1. assign V623255 = V200054. assign V134997 = V596713. assign V340098 = V968205 + 1. assign V427905 = V938117. assign V426672 = V658092 - 1. assign V648840 = V427271. assign V113780 = V450119 + 1. assign V638794 = V798034 + 1. assign V369488 = V873598 + 1. assign V873598 = V427271 - 1. assign V323975 = V127362. assign V748355 = V427271. assign V964360 = V426672. assign V450119 = V427905 + 1. assign V582463 = V319953 - 1. assign V956938 = V417831. assign V096608 = V607851 - 1. assign V819940 = V200054 - 1. assign V707778 = V427271 - 1. assign V010136 = V638794. assign V596713 = V353069. assign V644512 = V427905 - 1. assign V751061 = V826405. assign V027762 = V427905. assign V366756 = V819940 - 1. assign V417831 = V427905. assign V948755 = V304217. assign V968205 = V259819 - 1. assign V818707 = V507787 - 1. assign V507787 = V319953 + 1. assign V111170 = 8. assign V427271 = V127362 + 1. assign V132443 = V427905 - 1. assign V353069 = V419996 + 1. assign V826405 = V818707 + 1. assign V235371 = V111170 - 1. assign V238355 = V658092. assign V202956 = V027762 + 1. assign V361826 = V956938 + 1. assign V201018 = V658092. assign V938117 = V319953 - 1. assign V617091 = V127362 + 1. assign V570640 = V369488. assign V060495 = V707778 + 1. assign V446440 = V053160. assign V778775 = V247796 + 1. assign V988608 = V353069 - 1. assign V403506 = V948755 + 1. assign V774338 = V127362 - 1. assign V304217 = V938117 + 1. assign V985020 = V427271 + 1. assign V698076 = V751061 - 1. assign V607851 = V134997 - 1. assign V224655 = V353069 - 1. assign V251032 = V288714 + 1. assign V579622 = V751061 + 1. assign V545422 = V060495. assign V393841 = V132443.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV111170 = 8;\n\nFrom these direct assignment(s), we have: \nV235371 = V111170 - 1 = 8 - 1 =7;\nNo other variables can be derived from V235371;\nNo other variables can be derived from V111170;\n\nNow we have done all the calculations. Derived variables are:\nV111170 = 8;\nV235371 = 7;\n\nNow we have finished this problem. ANSWER:\nV111170\n", "role": "assistant" } ]

[ "V358476", "V341142" ]

[ { "content": "<context>\nassign V025414 = V182349. assign V214479 = V822740 + 1. assign V567447 = V058987 + 1. assign V544748 = V621078. assign V569901 = V111310. assign V045208 = V451084 + 1. assign V031486 = V974718 + 1. assign V182349 = V266387 + 1. assign V255745 = V983737. assign V214451 = V621078 + 1. assign V018979 = V232649 - 1. assign V858249 = V480344 + 1. assign V995152 = V822740 + 1. assign V974718 = V621078 - 1. assign V266387 = V858249 + 1. assign V122872 = V974718 - 1. assign V298865 = V956481 - 1. assign V365478 = V787924. assign V377001 = V058987. assign V265245 = V354420. assign V564881 = V956481 + 1. assign V405605 = V621078. assign V621078 = V058987 + 1. assign V586977 = V977912 + 1. assign V723966 = V597011 - 1. assign V480344 = V974718. assign V064797 = V266387 - 1. assign V559227 = V122872. assign V851614 = V569901. assign V341142 = V358476. assign V466599 = V834508 - 1. assign V977912 = V058987. assign V578702 = V974567 - 1. assign V406695 = V622650. assign V310061 = V716130 - 1. assign V716130 = V480344 + 1. assign V622650 = V846593. assign V211286 = V031486 - 1. assign V711963 = V111310 - 1. assign V822740 = V956481 + 1. assign V490483 = V329201 - 1. assign V983737 = V817458. assign V863553 = V621078 - 1. assign V994327 = V111310 + 1. assign V335094 = V405605 + 1. assign V345243 = V784547. assign V870757 = V329201. assign V140417 = V214479 - 1. assign V232649 = V148061 - 1. assign V006987 = V613830 + 1. assign V354420 = V621078. assign V947181 = V114085. assign V974567 = V114085 + 1. assign V787924 = V140417 + 1. assign V209261 = V817458 - 1. assign V961075 = V211286. assign V111310 = V586977 - 1. assign V570736 = V784547 + 1. assign V655693 = V724872. assign V478218 = V822740 + 1. assign V114085 = V148061 - 1. assign V831860 = V031486 + 1. assign V645315 = V567447 - 1. assign V926503 = V716130. assign V823828 = V405605 - 1. assign V678328 = V329201 + 1. assign V613830 = V621078 + 1. assign V225463 = V122872 - 1. assign V597011 = V956481 + 1. assign V784547 = V209261 + 1. assign V243363 = V621078 - 1. assign V817458 = V122872 - 1. assign V439571 = V225463 + 1. assign V724872 = V863553. assign V956481 = V858249 - 1. assign V336650 = V243363 + 1. assign V451084 = V377001 - 1. assign V607440 = V858249. assign V329201 = V956481. assign V834508 = V784547 - 1. assign V846593 = V006987 + 1. assign V072861 = V377001 - 1. assign V358476 = 6. assign V915573 = V480344 + 1. assign V625024 = V578702 + 1. assign V148061 = V858249 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V025414 = V182349. assign V214479 = V822740 + 1. assign V567447 = V058987 + 1. assign V544748 = V621078. assign V569901 = V111310. assign V045208 = V451084 + 1. assign V031486 = V974718 + 1. assign V182349 = V266387 + 1. assign V255745 = V983737. assign V214451 = V621078 + 1. assign V018979 = V232649 - 1. assign V858249 = V480344 + 1. assign V995152 = V822740 + 1. assign V974718 = V621078 - 1. assign V266387 = V858249 + 1. assign V122872 = V974718 - 1. assign V298865 = V956481 - 1. assign V365478 = V787924. assign V377001 = V058987. assign V265245 = V354420. assign V564881 = V956481 + 1. assign V405605 = V621078. assign V621078 = V058987 + 1. assign V586977 = V977912 + 1. assign V723966 = V597011 - 1. assign V480344 = V974718. assign V064797 = V266387 - 1. assign V559227 = V122872. assign V851614 = V569901. assign V341142 = V358476. assign V466599 = V834508 - 1. assign V977912 = V058987. assign V578702 = V974567 - 1. assign V406695 = V622650. assign V310061 = V716130 - 1. assign V716130 = V480344 + 1. assign V622650 = V846593. assign V211286 = V031486 - 1. assign V711963 = V111310 - 1. assign V822740 = V956481 + 1. assign V490483 = V329201 - 1. assign V983737 = V817458. assign V863553 = V621078 - 1. assign V994327 = V111310 + 1. assign V335094 = V405605 + 1. assign V345243 = V784547. assign V870757 = V329201. assign V140417 = V214479 - 1. assign V232649 = V148061 - 1. assign V006987 = V613830 + 1. assign V354420 = V621078. assign V947181 = V114085. assign V974567 = V114085 + 1. assign V787924 = V140417 + 1. assign V209261 = V817458 - 1. assign V961075 = V211286. assign V111310 = V586977 - 1. assign V570736 = V784547 + 1. assign V655693 = V724872. assign V478218 = V822740 + 1. assign V114085 = V148061 - 1. assign V831860 = V031486 + 1. assign V645315 = V567447 - 1. assign V926503 = V716130. assign V823828 = V405605 - 1. assign V678328 = V329201 + 1. assign V613830 = V621078 + 1. assign V225463 = V122872 - 1. assign V597011 = V956481 + 1. assign V784547 = V209261 + 1. assign V243363 = V621078 - 1. assign V817458 = V122872 - 1. assign V439571 = V225463 + 1. assign V724872 = V863553. assign V956481 = V858249 - 1. assign V336650 = V243363 + 1. assign V451084 = V377001 - 1. assign V607440 = V858249. assign V329201 = V956481. assign V834508 = V784547 - 1. assign V846593 = V006987 + 1. assign V072861 = V377001 - 1. assign V358476 = 6. assign V915573 = V480344 + 1. assign V625024 = V578702 + 1. assign V148061 = V858249 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV358476 = 6;\n\nFrom these direct assignment(s), we have: \nV341142 = V358476 = 6;\nNo other variables can be derived from V341142;\nNo other variables can be derived from V358476;\n\nNow we have done all the calculations. Derived variables are:\nV358476 = 6;\nV341142 = 6;\n\nNow we have finished this problem. ANSWER:\nV358476, V341142\n", "role": "assistant" } ]

[ "V432193" ]

[ { "content": "<context>\nassign V153718 = V657115 + 1. assign V611874 = V563843. assign V825384 = V448944 - 1. assign V412088 = V459741 + 1. assign V505093 = V619588 - 1. assign V549315 = V096492 + 1. assign V484346 = V549315. assign V096492 = V494751 - 1. assign V567213 = 8. assign V275552 = V839069 - 1. assign V107561 = V780314. assign V495557 = V839069 - 1. assign V541548 = V273699. assign V926443 = V839069. assign V494751 = V986035. assign V245945 = V921493 - 1. assign V539674 = V662431 + 1. assign V105798 = V360308 - 1. assign V360308 = V386108. assign V553918 = V364392 + 1. assign V432193 = V567213 - 1. assign V795330 = V611874 + 1. assign V808484 = V603424. assign V745914 = V662431. assign V728760 = V553918 + 1. assign V559915 = V505093. assign V364392 = V438167 + 1. assign V968978 = V227875 - 1. assign V488147 = V965986 - 1. assign V998137 = V541548 + 1. assign V815822 = V341124 + 1. assign V662431 = V825384 + 1. assign V121216 = V164951 + 1. assign V452130 = V438167 + 1. assign V078331 = V096492 - 1. assign V865468 = V813694 - 1. assign V780314 = V857733 - 1. assign V839069 = V494751 + 1. assign V967654 = V078331. assign V806808 = V857733 + 1. assign V563843 = V364392. assign V501587 = V438167 - 1. assign V752802 = V965986 - 1. assign V438167 = V494751 + 1. assign V812583 = V194886 + 1. assign V906933 = V452130. assign V603424 = V448944 - 1. assign V273699 = V619588 - 1. assign V298184 = V484346 + 1. assign V716190 = V245011 - 1. assign V656166 = V728760 + 1. assign V103134 = V096492. assign V091204 = V839069. assign V965986 = V448944. assign V459741 = V619588 - 1. assign V986035 = V448944. assign V720592 = V364392. assign V227875 = V563843. assign V164951 = V657115 + 1. assign V034213 = V857733 - 1. assign V813694 = V998137 - 1. assign V258287 = V829202. assign V185274 = V926443 + 1. assign V829202 = V967654 + 1. assign V860768 = V563843 - 1. assign V619588 = V986035. assign V432722 = V986035. assign V564256 = V890982 + 1. assign V762846 = V808484. assign V921493 = V391739 + 1. assign V809737 = V164951 - 1. assign V067320 = V890982 + 1. assign V194886 = V986035 + 1. assign V857733 = V541548. assign V716424 = V484346 + 1. assign V341124 = V412088 + 1. assign V112047 = V194886 + 1. assign V217154 = V386108. assign V657115 = V438167 - 1. assign V427898 = V813694 - 1. assign V245011 = V494751. assign V890982 = V839069 - 1. assign V873499 = V121216 - 1. assign V391739 = V438167 - 1. assign V386108 = V795330 + 1. assign V343397 = V839069 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V153718 = V657115 + 1. assign V611874 = V563843. assign V825384 = V448944 - 1. assign V412088 = V459741 + 1. assign V505093 = V619588 - 1. assign V549315 = V096492 + 1. assign V484346 = V549315. assign V096492 = V494751 - 1. assign V567213 = 8. assign V275552 = V839069 - 1. assign V107561 = V780314. assign V495557 = V839069 - 1. assign V541548 = V273699. assign V926443 = V839069. assign V494751 = V986035. assign V245945 = V921493 - 1. assign V539674 = V662431 + 1. assign V105798 = V360308 - 1. assign V360308 = V386108. assign V553918 = V364392 + 1. assign V432193 = V567213 - 1. assign V795330 = V611874 + 1. assign V808484 = V603424. assign V745914 = V662431. assign V728760 = V553918 + 1. assign V559915 = V505093. assign V364392 = V438167 + 1. assign V968978 = V227875 - 1. assign V488147 = V965986 - 1. assign V998137 = V541548 + 1. assign V815822 = V341124 + 1. assign V662431 = V825384 + 1. assign V121216 = V164951 + 1. assign V452130 = V438167 + 1. assign V078331 = V096492 - 1. assign V865468 = V813694 - 1. assign V780314 = V857733 - 1. assign V839069 = V494751 + 1. assign V967654 = V078331. assign V806808 = V857733 + 1. assign V563843 = V364392. assign V501587 = V438167 - 1. assign V752802 = V965986 - 1. assign V438167 = V494751 + 1. assign V812583 = V194886 + 1. assign V906933 = V452130. assign V603424 = V448944 - 1. assign V273699 = V619588 - 1. assign V298184 = V484346 + 1. assign V716190 = V245011 - 1. assign V656166 = V728760 + 1. assign V103134 = V096492. assign V091204 = V839069. assign V965986 = V448944. assign V459741 = V619588 - 1. assign V986035 = V448944. assign V720592 = V364392. assign V227875 = V563843. assign V164951 = V657115 + 1. assign V034213 = V857733 - 1. assign V813694 = V998137 - 1. assign V258287 = V829202. assign V185274 = V926443 + 1. assign V829202 = V967654 + 1. assign V860768 = V563843 - 1. assign V619588 = V986035. assign V432722 = V986035. assign V564256 = V890982 + 1. assign V762846 = V808484. assign V921493 = V391739 + 1. assign V809737 = V164951 - 1. assign V067320 = V890982 + 1. assign V194886 = V986035 + 1. assign V857733 = V541548. assign V716424 = V484346 + 1. assign V341124 = V412088 + 1. assign V112047 = V194886 + 1. assign V217154 = V386108. assign V657115 = V438167 - 1. assign V427898 = V813694 - 1. assign V245011 = V494751. assign V890982 = V839069 - 1. assign V873499 = V121216 - 1. assign V391739 = V438167 - 1. assign V386108 = V795330 + 1. assign V343397 = V839069 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV567213 = 8;\n\nFrom these direct assignment(s), we have: \nV432193 = V567213 - 1 = 8 - 1 =7;\nNo other variables can be derived from V432193;\nNo other variables can be derived from V567213;\n\nNow we have done all the calculations. Derived variables are:\nV567213 = 8;\nV432193 = 7;\n\nNow we have finished this problem. ANSWER:\nV432193\n", "role": "assistant" } ]

[ "V520624" ]

[ { "content": "<context>\nassign V469519 = V918715 - 1. assign V025459 = V425976 - 1. assign V795098 = V787303. assign V156034 = V414962 - 1. assign V425976 = V918715 + 1. assign V417461 = V595870 - 1. assign V035034 = V886548. assign V787117 = V414962 - 1. assign V198237 = V319555 - 1. assign V787815 = V769240 - 1. assign V076883 = V115834 + 1. assign V973156 = V469519 + 1. assign V997189 = V034468 - 1. assign V425362 = V886548 - 1. assign V772715 = V073911. assign V787303 = V997189. assign V917294 = V527980 - 1. assign V679772 = V932206 + 1. assign V319555 = V351119. assign V265887 = V145605 - 1. assign V297223 = V942402 - 1. assign V158149 = V932206 - 1. assign V182600 = V158149 - 1. assign V869587 = V787117 - 1. assign V051153 = V137758. assign V527980 = V469519. assign V570106 = V414962 - 1. assign V485267 = V520624 + 1. assign V009713 = V608073. assign V886548 = V414962 - 1. assign V915703 = V932206 - 1. assign V033098 = V297223. assign V916683 = V414962. assign V983539 = V425976 - 1. assign V643933 = V760894. assign V137758 = V983539 + 1. assign V099702 = V527980. assign V652417 = V932206 + 1. assign V907652 = V983539. assign V662406 = V918715 + 1. assign V097762 = V932206. assign V217673 = V585225 + 1. assign V145605 = V414962 - 1. assign V559360 = V932206 - 1. assign V874441 = V009713. assign V039313 = V184637 + 1. assign V111635 = V869587 - 1. assign V830592 = V918715 - 1. assign V453824 = V414962. assign V073911 = V453824 + 1. assign V563642 = V585225 + 1. assign V608073 = V414962 - 1. assign V274492 = V653831. assign V458735 = V495040 + 1. assign V741081 = V034468 - 1. assign V351119 = V652417. assign V760894 = V073911 - 1. assign V618934 = V073911 + 1. assign V305863 = V469519 + 1. assign V942402 = V158149 - 1. assign V625188 = V137758 - 1. assign V115834 = V760894 - 1. assign V034468 = V932206. assign V769240 = V869587 - 1. assign V352352 = V662406 + 1. assign V414962 = V918715. assign V585225 = V453824. assign V495040 = V527980 - 1. assign V810708 = V352352. assign V954974 = V585225. assign V585214 = V679772 - 1. assign V184637 = V073911 - 1. assign V099471 = V453824. assign V659158 = V417461 - 1. assign V931281 = V115834 - 1. assign V363216 = V653831 + 1. assign V653831 = V145605 + 1. assign V136874 = V417461 - 1. assign V152637 = V787117 - 1. assign V798521 = V595870. assign V371861 = V787117 - 1. assign V932206 = V918715. assign V520624 = 2. assign V039323 = V618934 - 1. assign V595870 = V918715. assign V354345 = V983539.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V469519 = V918715 - 1. assign V025459 = V425976 - 1. assign V795098 = V787303. assign V156034 = V414962 - 1. assign V425976 = V918715 + 1. assign V417461 = V595870 - 1. assign V035034 = V886548. assign V787117 = V414962 - 1. assign V198237 = V319555 - 1. assign V787815 = V769240 - 1. assign V076883 = V115834 + 1. assign V973156 = V469519 + 1. assign V997189 = V034468 - 1. assign V425362 = V886548 - 1. assign V772715 = V073911. assign V787303 = V997189. assign V917294 = V527980 - 1. assign V679772 = V932206 + 1. assign V319555 = V351119. assign V265887 = V145605 - 1. assign V297223 = V942402 - 1. assign V158149 = V932206 - 1. assign V182600 = V158149 - 1. assign V869587 = V787117 - 1. assign V051153 = V137758. assign V527980 = V469519. assign V570106 = V414962 - 1. assign V485267 = V520624 + 1. assign V009713 = V608073. assign V886548 = V414962 - 1. assign V915703 = V932206 - 1. assign V033098 = V297223. assign V916683 = V414962. assign V983539 = V425976 - 1. assign V643933 = V760894. assign V137758 = V983539 + 1. assign V099702 = V527980. assign V652417 = V932206 + 1. assign V907652 = V983539. assign V662406 = V918715 + 1. assign V097762 = V932206. assign V217673 = V585225 + 1. assign V145605 = V414962 - 1. assign V559360 = V932206 - 1. assign V874441 = V009713. assign V039313 = V184637 + 1. assign V111635 = V869587 - 1. assign V830592 = V918715 - 1. assign V453824 = V414962. assign V073911 = V453824 + 1. assign V563642 = V585225 + 1. assign V608073 = V414962 - 1. assign V274492 = V653831. assign V458735 = V495040 + 1. assign V741081 = V034468 - 1. assign V351119 = V652417. assign V760894 = V073911 - 1. assign V618934 = V073911 + 1. assign V305863 = V469519 + 1. assign V942402 = V158149 - 1. assign V625188 = V137758 - 1. assign V115834 = V760894 - 1. assign V034468 = V932206. assign V769240 = V869587 - 1. assign V352352 = V662406 + 1. assign V414962 = V918715. assign V585225 = V453824. assign V495040 = V527980 - 1. assign V810708 = V352352. assign V954974 = V585225. assign V585214 = V679772 - 1. assign V184637 = V073911 - 1. assign V099471 = V453824. assign V659158 = V417461 - 1. assign V931281 = V115834 - 1. assign V363216 = V653831 + 1. assign V653831 = V145605 + 1. assign V136874 = V417461 - 1. assign V152637 = V787117 - 1. assign V798521 = V595870. assign V371861 = V787117 - 1. assign V932206 = V918715. assign V520624 = 2. assign V039323 = V618934 - 1. assign V595870 = V918715. assign V354345 = V983539.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV520624 = 2;\n\nFrom these direct assignment(s), we have: \nV485267 = V520624 + 1 = 2 + 1 =3;\nNo other variables can be derived from V485267;\nNo other variables can be derived from V520624;\n\nNow we have done all the calculations. Derived variables are:\nV520624 = 2;\nV485267 = 3;\n\nNow we have finished this problem. ANSWER:\nV520624\n", "role": "assistant" } ]

[ "V398204", "V890595" ]

[ { "content": "<context>\nassign V038976 = V650940. assign V377894 = V506933. assign V776165 = V838665. assign V518108 = V263220 - 1. assign V162827 = V641870 + 1. assign V216985 = V162827. assign V196906 = V641870 + 1. assign V442257 = V622082 - 1. assign V618163 = V159627 - 1. assign V641870 = V656258. assign V901268 = V089853. assign V174903 = V486065. assign V249186 = V600564 - 1. assign V463105 = V429033. assign V090888 = V470760. assign V439738 = V765450 - 1. assign V092049 = V486065 - 1. assign V140978 = V641870 - 1. assign V571759 = V089853. assign V691663 = V936615. assign V294672 = V486065. assign V000651 = V089853. assign V120425 = V506933. assign V051337 = V192691 + 1. assign V227047 = V429033 - 1. assign V089853 = V486065 - 1. assign V845470 = V936615 - 1. assign V516627 = V120425 - 1. assign V494674 = V470760 + 1. assign V936615 = V819050 - 1. assign V030895 = V650940. assign V797201 = V650940 - 1. assign V193028 = V838665 + 1. assign V273875 = V172143. assign V095320 = V193028 + 1. assign V159627 = V196906 + 1. assign V029404 = V193028 + 1. assign V342402 = V159627. assign V816817 = V663328. assign V192691 = V936615 + 1. assign V921676 = V175815 + 1. assign V521279 = V030895 + 1. assign V890595 = V398204. assign V381274 = V579318 - 1. assign V429033 = V838665 - 1. assign V656258 = V174903 - 1. assign V470760 = V663328 + 1. assign V172143 = V663328 + 1. assign V175815 = V486065 - 1. assign V765450 = V579318. assign V486065 = V193028 - 1. assign V097323 = V464368. assign V600564 = V623677 - 1. assign V057787 = V623677 - 1. assign V688295 = V092049. assign V832897 = V031180 + 1. assign V579318 = V663328 - 1. assign V398204 = 9. assign V464368 = V832897 - 1. assign V616684 = V819050 - 1. assign V272497 = V650940 - 1. assign V835471 = V120425. assign V263220 = V249186. assign V258007 = V921676. assign V455178 = V439738. assign V663328 = V486065. assign V051741 = V175815 + 1. assign V506933 = V832897 - 1. assign V622082 = V382179. assign V819050 = V174903 - 1. assign V382179 = V663328. assign V650940 = V838665 - 1. assign V686001 = V031180. assign V023511 = V600564. assign V417871 = V382179 + 1. assign V816299 = V092049 + 1. assign V559376 = V832897 - 1. assign V850011 = V816817 - 1. assign V991178 = V776165 + 1. assign V291909 = V641870 - 1. assign V657438 = V470760 + 1. assign V445792 = V936615 - 1. assign V623677 = V097323 + 1. assign V089054 = V175815 + 1. assign V031180 = V174903 + 1. assign V685994 = V342402 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V038976 = V650940. assign V377894 = V506933. assign V776165 = V838665. assign V518108 = V263220 - 1. assign V162827 = V641870 + 1. assign V216985 = V162827. assign V196906 = V641870 + 1. assign V442257 = V622082 - 1. assign V618163 = V159627 - 1. assign V641870 = V656258. assign V901268 = V089853. assign V174903 = V486065. assign V249186 = V600564 - 1. assign V463105 = V429033. assign V090888 = V470760. assign V439738 = V765450 - 1. assign V092049 = V486065 - 1. assign V140978 = V641870 - 1. assign V571759 = V089853. assign V691663 = V936615. assign V294672 = V486065. assign V000651 = V089853. assign V120425 = V506933. assign V051337 = V192691 + 1. assign V227047 = V429033 - 1. assign V089853 = V486065 - 1. assign V845470 = V936615 - 1. assign V516627 = V120425 - 1. assign V494674 = V470760 + 1. assign V936615 = V819050 - 1. assign V030895 = V650940. assign V797201 = V650940 - 1. assign V193028 = V838665 + 1. assign V273875 = V172143. assign V095320 = V193028 + 1. assign V159627 = V196906 + 1. assign V029404 = V193028 + 1. assign V342402 = V159627. assign V816817 = V663328. assign V192691 = V936615 + 1. assign V921676 = V175815 + 1. assign V521279 = V030895 + 1. assign V890595 = V398204. assign V381274 = V579318 - 1. assign V429033 = V838665 - 1. assign V656258 = V174903 - 1. assign V470760 = V663328 + 1. assign V172143 = V663328 + 1. assign V175815 = V486065 - 1. assign V765450 = V579318. assign V486065 = V193028 - 1. assign V097323 = V464368. assign V600564 = V623677 - 1. assign V057787 = V623677 - 1. assign V688295 = V092049. assign V832897 = V031180 + 1. assign V579318 = V663328 - 1. assign V398204 = 9. assign V464368 = V832897 - 1. assign V616684 = V819050 - 1. assign V272497 = V650940 - 1. assign V835471 = V120425. assign V263220 = V249186. assign V258007 = V921676. assign V455178 = V439738. assign V663328 = V486065. assign V051741 = V175815 + 1. assign V506933 = V832897 - 1. assign V622082 = V382179. assign V819050 = V174903 - 1. assign V382179 = V663328. assign V650940 = V838665 - 1. assign V686001 = V031180. assign V023511 = V600564. assign V417871 = V382179 + 1. assign V816299 = V092049 + 1. assign V559376 = V832897 - 1. assign V850011 = V816817 - 1. assign V991178 = V776165 + 1. assign V291909 = V641870 - 1. assign V657438 = V470760 + 1. assign V445792 = V936615 - 1. assign V623677 = V097323 + 1. assign V089054 = V175815 + 1. assign V031180 = V174903 + 1. assign V685994 = V342402 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV398204 = 9;\n\nFrom these direct assignment(s), we have: \nV890595 = V398204 = 9;\nNo other variables can be derived from V890595;\nNo other variables can be derived from V398204;\n\nNow we have done all the calculations. Derived variables are:\nV398204 = 9;\nV890595 = 9;\n\nNow we have finished this problem. ANSWER:\nV398204, V890595\n", "role": "assistant" } ]

[ "V056228" ]

[ { "content": "<context>\nassign V928872 = V413198 - 1. assign V696365 = V617298 - 1. assign V856696 = V921128 - 1. assign V725691 = V740945 - 1. assign V574390 = V319396. assign V245446 = V208571 - 1. assign V740945 = V319396 + 1. assign V807331 = V358586. assign V745883 = V208339. assign V759034 = V518109 + 1. assign V088143 = V856696. assign V453398 = V756302 - 1. assign V279327 = V518109 - 1. assign V397895 = V375724. assign V743106 = V171760 + 1. assign V851005 = V319396 - 1. assign V645599 = V343844 - 1. assign V082606 = V740945 + 1. assign V921128 = V123992. assign V413198 = V804717. assign V755578 = V769243. assign V756284 = V759034 + 1. assign V304850 = V043972 + 1. assign V973173 = V447836. assign V529280 = V803034. assign V319396 = V123992. assign V884252 = V562623 - 1. assign V437925 = V343844 + 1. assign V208339 = V994915. assign V994915 = V343844. assign V327468 = V988787 - 1. assign V934190 = V518109 + 1. assign V589432 = V804717. assign V470215 = V327468 + 1. assign V007565 = V769243. assign V587165 = V215603 + 1. assign V209392 = V645599 - 1. assign V617298 = V529280. assign V160931 = V771318. assign V093004 = V088143 - 1. assign V343844 = V319396 - 1. assign V519834 = V888318 + 1. assign V188671 = V498692 + 1. assign V215603 = V437925 + 1. assign V190366 = V725691 - 1. assign V208571 = V388909 + 1. assign V375724 = V518109 + 1. assign V769243 = V994915. assign V388909 = V082606 + 1. assign V771318 = V817960 + 1. assign V817960 = V123992. assign V123992 = V327468 + 1. assign V043752 = V769243. assign V562623 = V740945 + 1. assign V358586 = V123992. assign V406977 = V453398 - 1. assign V069205 = V803034 + 1. assign V043972 = V375724 - 1. assign V938884 = V308989 - 1. assign V447836 = V769243 - 1. assign V322689 = V988787 + 1. assign V709585 = V374267. assign V546543 = V208339 - 1. assign V171760 = V898848 - 1. assign V804717 = V343844 + 1. assign V840236 = V007565 + 1. assign V719025 = V208571 - 1. assign V898848 = V617298 - 1. assign V308989 = V851005. assign V066283 = V498692 + 1. assign V538287 = V188671. assign V074445 = V709585. assign V115052 = V322689. assign V879619 = V529280 - 1. assign V756302 = V123992 + 1. assign V191791 = V358586 + 1. assign V056228 = 8. assign V410166 = V319396 - 1. assign V888318 = V988787. assign V518109 = V327468 + 1. assign V643678 = V123992. assign V374267 = V884252. assign V610563 = V406977 + 1. assign V781159 = V056228 + 1. assign V803034 = V994915 + 1. assign V498692 = V725691.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V928872 = V413198 - 1. assign V696365 = V617298 - 1. assign V856696 = V921128 - 1. assign V725691 = V740945 - 1. assign V574390 = V319396. assign V245446 = V208571 - 1. assign V740945 = V319396 + 1. assign V807331 = V358586. assign V745883 = V208339. assign V759034 = V518109 + 1. assign V088143 = V856696. assign V453398 = V756302 - 1. assign V279327 = V518109 - 1. assign V397895 = V375724. assign V743106 = V171760 + 1. assign V851005 = V319396 - 1. assign V645599 = V343844 - 1. assign V082606 = V740945 + 1. assign V921128 = V123992. assign V413198 = V804717. assign V755578 = V769243. assign V756284 = V759034 + 1. assign V304850 = V043972 + 1. assign V973173 = V447836. assign V529280 = V803034. assign V319396 = V123992. assign V884252 = V562623 - 1. assign V437925 = V343844 + 1. assign V208339 = V994915. assign V994915 = V343844. assign V327468 = V988787 - 1. assign V934190 = V518109 + 1. assign V589432 = V804717. assign V470215 = V327468 + 1. assign V007565 = V769243. assign V587165 = V215603 + 1. assign V209392 = V645599 - 1. assign V617298 = V529280. assign V160931 = V771318. assign V093004 = V088143 - 1. assign V343844 = V319396 - 1. assign V519834 = V888318 + 1. assign V188671 = V498692 + 1. assign V215603 = V437925 + 1. assign V190366 = V725691 - 1. assign V208571 = V388909 + 1. assign V375724 = V518109 + 1. assign V769243 = V994915. assign V388909 = V082606 + 1. assign V771318 = V817960 + 1. assign V817960 = V123992. assign V123992 = V327468 + 1. assign V043752 = V769243. assign V562623 = V740945 + 1. assign V358586 = V123992. assign V406977 = V453398 - 1. assign V069205 = V803034 + 1. assign V043972 = V375724 - 1. assign V938884 = V308989 - 1. assign V447836 = V769243 - 1. assign V322689 = V988787 + 1. assign V709585 = V374267. assign V546543 = V208339 - 1. assign V171760 = V898848 - 1. assign V804717 = V343844 + 1. assign V840236 = V007565 + 1. assign V719025 = V208571 - 1. assign V898848 = V617298 - 1. assign V308989 = V851005. assign V066283 = V498692 + 1. assign V538287 = V188671. assign V074445 = V709585. assign V115052 = V322689. assign V879619 = V529280 - 1. assign V756302 = V123992 + 1. assign V191791 = V358586 + 1. assign V056228 = 8. assign V410166 = V319396 - 1. assign V888318 = V988787. assign V518109 = V327468 + 1. assign V643678 = V123992. assign V374267 = V884252. assign V610563 = V406977 + 1. assign V781159 = V056228 + 1. assign V803034 = V994915 + 1. assign V498692 = V725691.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV056228 = 8;\n\nFrom these direct assignment(s), we have: \nV781159 = V056228 + 1 = 8 + 1 =9;\nNo other variables can be derived from V781159;\nNo other variables can be derived from V056228;\n\nNow we have done all the calculations. Derived variables are:\nV056228 = 8;\nV781159 = 9;\n\nNow we have finished this problem. ANSWER:\nV056228\n", "role": "assistant" } ]

[ "V861030" ]

[ { "content": "<context>\nassign V607389 = V264716. assign V116608 = V459207 - 1. assign V901848 = V794428 + 1. assign V054703 = V067544. assign V357411 = V761962 + 1. assign V574640 = V345393 + 1. assign V754999 = V383529 + 1. assign V249959 = V348367 + 1. assign V538209 = V188544. assign V621268 = V369226. assign V683723 = V082382 - 1. assign V561612 = V054703 + 1. assign V252987 = V787464 + 1. assign V351795 = V574640. assign V716285 = V584288. assign V785878 = 7. assign V939223 = V986621 - 1. assign V348367 = V437714 - 1. assign V211011 = V584288. assign V518745 = V918644. assign V974052 = V574640. assign V971611 = V716285 + 1. assign V749608 = V264716 - 1. assign V469389 = V576492. assign V437714 = V407307 + 1. assign V441409 = V264716. assign V079098 = V787804 + 1. assign V891825 = V787464. assign V152864 = V578493. assign V369226 = V937081 - 1. assign V576050 = V540672 - 1. assign V540672 = V437714. assign V746252 = V716285 - 1. assign V796568 = V249037 + 1. assign V787464 = V761962. assign V264716 = V437714. assign V986621 = V426267 + 1. assign V077984 = V249037 + 1. assign V761962 = V264716 + 1. assign V190140 = V188544 - 1. assign V869732 = V026403. assign V792169 = V576492. assign V576492 = V264716. assign V641854 = V683723 - 1. assign V172980 = V761962. assign V959095 = V561612 - 1. assign V234799 = V383529 + 1. assign V383529 = V407307 + 1. assign V478851 = V787804. assign V761727 = V607389. assign V257751 = V426267. assign V001574 = V040954. assign V504898 = V252987. assign V394117 = V538209. assign V578493 = V986423. assign V138331 = V188544 - 1. assign V426267 = V345393. assign V731252 = V211011 + 1. assign V787804 = V437714. assign V937081 = V540672 + 1. assign V326720 = V249037 + 1. assign V861030 = V785878 + 1. assign V067544 = V079098 + 1. assign V709935 = V351795. assign V217147 = V749608. assign V040954 = V761962 + 1. assign V874106 = V709935 + 1. assign V534649 = V540672. assign V705399 = V892229 + 1. assign V433003 = V054703. assign V947137 = V478851. assign V892229 = V345393. assign V483690 = V440048 + 1. assign V930525 = V264716. assign V918644 = V407307. assign V459207 = V986423 - 1. assign V249037 = V540672 - 1. assign V609839 = V345393 - 1. assign V794428 = V986423. assign V082382 = V326720. assign V986423 = V079098. assign V026403 = V348367 + 1. assign V440048 = V326720 + 1. assign V584288 = V576050 + 1. assign V345393 = V749608. assign V188544 = V407307 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V607389 = V264716. assign V116608 = V459207 - 1. assign V901848 = V794428 + 1. assign V054703 = V067544. assign V357411 = V761962 + 1. assign V574640 = V345393 + 1. assign V754999 = V383529 + 1. assign V249959 = V348367 + 1. assign V538209 = V188544. assign V621268 = V369226. assign V683723 = V082382 - 1. assign V561612 = V054703 + 1. assign V252987 = V787464 + 1. assign V351795 = V574640. assign V716285 = V584288. assign V785878 = 7. assign V939223 = V986621 - 1. assign V348367 = V437714 - 1. assign V211011 = V584288. assign V518745 = V918644. assign V974052 = V574640. assign V971611 = V716285 + 1. assign V749608 = V264716 - 1. assign V469389 = V576492. assign V437714 = V407307 + 1. assign V441409 = V264716. assign V079098 = V787804 + 1. assign V891825 = V787464. assign V152864 = V578493. assign V369226 = V937081 - 1. assign V576050 = V540672 - 1. assign V540672 = V437714. assign V746252 = V716285 - 1. assign V796568 = V249037 + 1. assign V787464 = V761962. assign V264716 = V437714. assign V986621 = V426267 + 1. assign V077984 = V249037 + 1. assign V761962 = V264716 + 1. assign V190140 = V188544 - 1. assign V869732 = V026403. assign V792169 = V576492. assign V576492 = V264716. assign V641854 = V683723 - 1. assign V172980 = V761962. assign V959095 = V561612 - 1. assign V234799 = V383529 + 1. assign V383529 = V407307 + 1. assign V478851 = V787804. assign V761727 = V607389. assign V257751 = V426267. assign V001574 = V040954. assign V504898 = V252987. assign V394117 = V538209. assign V578493 = V986423. assign V138331 = V188544 - 1. assign V426267 = V345393. assign V731252 = V211011 + 1. assign V787804 = V437714. assign V937081 = V540672 + 1. assign V326720 = V249037 + 1. assign V861030 = V785878 + 1. assign V067544 = V079098 + 1. assign V709935 = V351795. assign V217147 = V749608. assign V040954 = V761962 + 1. assign V874106 = V709935 + 1. assign V534649 = V540672. assign V705399 = V892229 + 1. assign V433003 = V054703. assign V947137 = V478851. assign V892229 = V345393. assign V483690 = V440048 + 1. assign V930525 = V264716. assign V918644 = V407307. assign V459207 = V986423 - 1. assign V249037 = V540672 - 1. assign V609839 = V345393 - 1. assign V794428 = V986423. assign V082382 = V326720. assign V986423 = V079098. assign V026403 = V348367 + 1. assign V440048 = V326720 + 1. assign V584288 = V576050 + 1. assign V345393 = V749608. assign V188544 = V407307 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV785878 = 7;\n\nFrom these direct assignment(s), we have: \nV861030 = V785878 + 1 = 7 + 1 =8;\nNo other variables can be derived from V861030;\nNo other variables can be derived from V785878;\n\nNow we have done all the calculations. Derived variables are:\nV785878 = 7;\nV861030 = 8;\n\nNow we have finished this problem. ANSWER:\nV861030\n", "role": "assistant" } ]

[ "V497510" ]

[ { "content": "<context>\nassign V587733 = V394310 - 1. assign V002423 = V001520 - 1. assign V960036 = V058340 - 1. assign V745216 = V168031. assign V208146 = V639305 - 1. assign V001520 = V386500. assign V891528 = V988389 - 1. assign V279863 = V497510 + 1. assign V168031 = V988389 + 1. assign V832431 = V756420 + 1. assign V837708 = V665361 + 1. assign V352831 = V208146. assign V517172 = V302886 - 1. assign V109311 = V604274 + 1. assign V667946 = V324121 - 1. assign V324121 = V806497 + 1. assign V591091 = V168031 + 1. assign V044405 = V058340 + 1. assign V975390 = V044405. assign V191599 = V398568 + 1. assign V912455 = V302886 - 1. assign V058340 = V008698 - 1. assign V197440 = V665361 + 1. assign V346048 = V382951 + 1. assign V573720 = V665361. assign V650480 = V184117. assign V057420 = V310804 - 1. assign V757595 = V005185. assign V607250 = V474160 + 1. assign V558288 = V208146. assign V503897 = V220945 - 1. assign V336341 = V464629 - 1. assign V639108 = V955969. assign V464629 = V912455 + 1. assign V119159 = V464629. assign V324959 = V882377 - 1. assign V531479 = V806497 + 1. assign V184117 = V394310 + 1. assign V684125 = V882377 - 1. assign V715948 = V727881 + 1. assign V536699 = V952088 + 1. assign V423371 = V134869 - 1. assign V049689 = V191599 + 1. assign V115828 = V379266 - 1. assign V684699 = V912455. assign V450587 = V952088. assign V767600 = V302886 + 1. assign V220945 = V882377 - 1. assign V005185 = V806497 + 1. assign V882377 = V503186. assign V806497 = V988389 + 1. assign V497510 = 6. assign V988389 = V302886 - 1. assign V386500 = V058340. assign V455748 = V757595 + 1. assign V390239 = V591091 - 1. assign V234206 = V310804 + 1. assign V130185 = V588377 + 1. assign V474160 = V168031. assign V665361 = V745216 - 1. assign V333465 = V727881. assign V946283 = V398568 - 1. assign V503186 = V607250. assign V211149 = V952088 + 1. assign V104136 = V140232 + 1. assign V829447 = V310804 + 1. assign V310804 = V607250. assign V385333 = V591091 - 1. assign V185294 = V745216 + 1. assign V756420 = V394310. assign V727881 = V220945. assign V955969 = V005185 - 1. assign V394310 = V639305. assign V382951 = V684699. assign V398568 = V503186. assign V140232 = V988389 + 1. assign V313934 = V398568. assign V639305 = V302886 - 1. assign V433318 = V208146 + 1. assign V008698 = V639305 + 1. assign V604274 = V168031 + 1. assign V952088 = V757595 + 1. assign V351780 = V960036. assign V379266 = V474160. assign V134869 = V715948 + 1. assign V588377 = V745216 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V587733 = V394310 - 1. assign V002423 = V001520 - 1. assign V960036 = V058340 - 1. assign V745216 = V168031. assign V208146 = V639305 - 1. assign V001520 = V386500. assign V891528 = V988389 - 1. assign V279863 = V497510 + 1. assign V168031 = V988389 + 1. assign V832431 = V756420 + 1. assign V837708 = V665361 + 1. assign V352831 = V208146. assign V517172 = V302886 - 1. assign V109311 = V604274 + 1. assign V667946 = V324121 - 1. assign V324121 = V806497 + 1. assign V591091 = V168031 + 1. assign V044405 = V058340 + 1. assign V975390 = V044405. assign V191599 = V398568 + 1. assign V912455 = V302886 - 1. assign V058340 = V008698 - 1. assign V197440 = V665361 + 1. assign V346048 = V382951 + 1. assign V573720 = V665361. assign V650480 = V184117. assign V057420 = V310804 - 1. assign V757595 = V005185. assign V607250 = V474160 + 1. assign V558288 = V208146. assign V503897 = V220945 - 1. assign V336341 = V464629 - 1. assign V639108 = V955969. assign V464629 = V912455 + 1. assign V119159 = V464629. assign V324959 = V882377 - 1. assign V531479 = V806497 + 1. assign V184117 = V394310 + 1. assign V684125 = V882377 - 1. assign V715948 = V727881 + 1. assign V536699 = V952088 + 1. assign V423371 = V134869 - 1. assign V049689 = V191599 + 1. assign V115828 = V379266 - 1. assign V684699 = V912455. assign V450587 = V952088. assign V767600 = V302886 + 1. assign V220945 = V882377 - 1. assign V005185 = V806497 + 1. assign V882377 = V503186. assign V806497 = V988389 + 1. assign V497510 = 6. assign V988389 = V302886 - 1. assign V386500 = V058340. assign V455748 = V757595 + 1. assign V390239 = V591091 - 1. assign V234206 = V310804 + 1. assign V130185 = V588377 + 1. assign V474160 = V168031. assign V665361 = V745216 - 1. assign V333465 = V727881. assign V946283 = V398568 - 1. assign V503186 = V607250. assign V211149 = V952088 + 1. assign V104136 = V140232 + 1. assign V829447 = V310804 + 1. assign V310804 = V607250. assign V385333 = V591091 - 1. assign V185294 = V745216 + 1. assign V756420 = V394310. assign V727881 = V220945. assign V955969 = V005185 - 1. assign V394310 = V639305. assign V382951 = V684699. assign V398568 = V503186. assign V140232 = V988389 + 1. assign V313934 = V398568. assign V639305 = V302886 - 1. assign V433318 = V208146 + 1. assign V008698 = V639305 + 1. assign V604274 = V168031 + 1. assign V952088 = V757595 + 1. assign V351780 = V960036. assign V379266 = V474160. assign V134869 = V715948 + 1. assign V588377 = V745216 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV497510 = 6;\n\nFrom these direct assignment(s), we have: \nV279863 = V497510 + 1 = 6 + 1 =7;\nNo other variables can be derived from V279863;\nNo other variables can be derived from V497510;\n\nNow we have done all the calculations. Derived variables are:\nV497510 = 6;\nV279863 = 7;\n\nNow we have finished this problem. ANSWER:\nV497510\n", "role": "assistant" } ]

[ "V432248" ]

[ { "content": "<context>\nassign V174781 = V964496 - 1. assign V468943 = V944926 - 1. assign V996560 = V893751 + 1. assign V944926 = V090791 + 1. assign V017488 = V090791 - 1. assign V382238 = V897303. assign V670380 = V887580 + 1. assign V926789 = V174781. assign V871263 = V011829 - 1. assign V188265 = V039805 - 1. assign V011829 = V050698 - 1. assign V735010 = V090791. assign V508937 = V929581. assign V866263 = V059531 + 1. assign V893751 = V964496 - 1. assign V008988 = V936647 + 1. assign V696478 = V771686 + 1. assign V935222 = V039805 - 1. assign V502797 = V196586 + 1. assign V244595 = V090791 + 1. assign V086680 = V696478. assign V327673 = V090791. assign V872653 = V039805 + 1. assign V443142 = V832269 + 1. assign V991307 = V086152 + 1. assign V326242 = V237958 + 1. assign V556612 = V418595 + 1. assign V897303 = V496032. assign V039805 = V008988 - 1. assign V265998 = V854946 - 1. assign V197210 = V508937 + 1. assign V071382 = V609454 - 1. assign V091545 = V386666. assign V955444 = V197210 + 1. assign V724029 = V696478. assign V555969 = V050698 - 1. assign V935250 = V485826. assign V249358 = V450141 + 1. assign V425249 = V936647 - 1. assign V887580 = V425249 + 1. assign V854946 = V935222 - 1. assign V503782 = V556612. assign V026598 = V893751. assign V493761 = V935222 + 1. assign V059531 = V197210 - 1. assign V238554 = V386666 + 1. assign V102836 = V964496 - 1. assign V418595 = V059531 - 1. assign V239769 = V887580 - 1. assign V201245 = V935222 + 1. assign V672451 = V944926. assign V485826 = V866263. assign V432248 = V090832 + 1. assign V802180 = V496032. assign V450141 = V425249 - 1. assign V086152 = V008988 + 1. assign V240911 = V197210 + 1. assign V053782 = V026598 - 1. assign V509081 = V244595 + 1. assign V114455 = V964496. assign V050698 = V609454 + 1. assign V683260 = V696478. assign V107509 = V418595 + 1. assign V117419 = V556612 - 1. assign V090832 = 0. assign V196586 = V090791. assign V386666 = V935222 + 1. assign V771686 = V508937 + 1. assign V936647 = V508937 - 1. assign V468764 = V944926 + 1. assign V496032 = V071382 + 1. assign V564510 = V771686. assign V116074 = V249358 - 1. assign V237958 = V433379. assign V832269 = V485826 + 1. assign V363548 = V196586 - 1. assign V964496 = V197210 - 1. assign V238035 = V996560 + 1. assign V762178 = V609454 + 1. assign V701161 = V101959. assign V566813 = V249358 + 1. assign V609454 = V929581. assign V585053 = V996560. assign V090791 = V174781. assign V101959 = V418595 - 1. assign V433379 = V265998.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V174781 = V964496 - 1. assign V468943 = V944926 - 1. assign V996560 = V893751 + 1. assign V944926 = V090791 + 1. assign V017488 = V090791 - 1. assign V382238 = V897303. assign V670380 = V887580 + 1. assign V926789 = V174781. assign V871263 = V011829 - 1. assign V188265 = V039805 - 1. assign V011829 = V050698 - 1. assign V735010 = V090791. assign V508937 = V929581. assign V866263 = V059531 + 1. assign V893751 = V964496 - 1. assign V008988 = V936647 + 1. assign V696478 = V771686 + 1. assign V935222 = V039805 - 1. assign V502797 = V196586 + 1. assign V244595 = V090791 + 1. assign V086680 = V696478. assign V327673 = V090791. assign V872653 = V039805 + 1. assign V443142 = V832269 + 1. assign V991307 = V086152 + 1. assign V326242 = V237958 + 1. assign V556612 = V418595 + 1. assign V897303 = V496032. assign V039805 = V008988 - 1. assign V265998 = V854946 - 1. assign V197210 = V508937 + 1. assign V071382 = V609454 - 1. assign V091545 = V386666. assign V955444 = V197210 + 1. assign V724029 = V696478. assign V555969 = V050698 - 1. assign V935250 = V485826. assign V249358 = V450141 + 1. assign V425249 = V936647 - 1. assign V887580 = V425249 + 1. assign V854946 = V935222 - 1. assign V503782 = V556612. assign V026598 = V893751. assign V493761 = V935222 + 1. assign V059531 = V197210 - 1. assign V238554 = V386666 + 1. assign V102836 = V964496 - 1. assign V418595 = V059531 - 1. assign V239769 = V887580 - 1. assign V201245 = V935222 + 1. assign V672451 = V944926. assign V485826 = V866263. assign V432248 = V090832 + 1. assign V802180 = V496032. assign V450141 = V425249 - 1. assign V086152 = V008988 + 1. assign V240911 = V197210 + 1. assign V053782 = V026598 - 1. assign V509081 = V244595 + 1. assign V114455 = V964496. assign V050698 = V609454 + 1. assign V683260 = V696478. assign V107509 = V418595 + 1. assign V117419 = V556612 - 1. assign V090832 = 0. assign V196586 = V090791. assign V386666 = V935222 + 1. assign V771686 = V508937 + 1. assign V936647 = V508937 - 1. assign V468764 = V944926 + 1. assign V496032 = V071382 + 1. assign V564510 = V771686. assign V116074 = V249358 - 1. assign V237958 = V433379. assign V832269 = V485826 + 1. assign V363548 = V196586 - 1. assign V964496 = V197210 - 1. assign V238035 = V996560 + 1. assign V762178 = V609454 + 1. assign V701161 = V101959. assign V566813 = V249358 + 1. assign V609454 = V929581. assign V585053 = V996560. assign V090791 = V174781. assign V101959 = V418595 - 1. assign V433379 = V265998.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV090832 = 0;\n\nFrom these direct assignment(s), we have: \nV432248 = V090832 + 1 = 0 + 1 =1;\nNo other variables can be derived from V432248;\nNo other variables can be derived from V090832;\n\nNow we have done all the calculations. Derived variables are:\nV090832 = 0;\nV432248 = 1;\n\nNow we have finished this problem. ANSWER:\nV432248\n", "role": "assistant" } ]

[ "V659256" ]

[ { "content": "<context>\nassign V347107 = V888524 - 1. assign V661365 = V072666 + 1. assign V506320 = V457057. assign V568019 = V092887 + 1. assign V411474 = V949210. assign V616852 = V174121. assign V336944 = V027803. assign V264441 = V120117. assign V132948 = V649676 - 1. assign V490350 = V772395. assign V392864 = V004084. assign V611852 = V027803 + 1. assign V675453 = V004084 - 1. assign V715113 = V203670 + 1. assign V047906 = V071936 - 1. assign V250499 = V327116 + 1. assign V333460 = V747882. assign V069103 = V071936 + 1. assign V080841 = V959707. assign V622403 = V326567 - 1. assign V239344 = V904244 - 1. assign V974168 = V715113 - 1. assign V073083 = V675453. assign V681145 = V071936 + 1. assign V071936 = V092887 - 1. assign V457057 = V888524. assign V904244 = V327116 + 1. assign V788894 = V949210. assign V327116 = V092887. assign V700874 = V411474 - 1. assign V003531 = V336944 - 1. assign V027803 = V004084 + 1. assign V918980 = V003531 - 1. assign V791850 = V491522 + 1. assign V202384 = V250499 + 1. assign V191949 = V675453 - 1. assign V747882 = V334144 + 1. assign V334144 = V904244. assign V959707 = V392864 - 1. assign V092887 = V004084. assign V362704 = V659256 - 1. assign V327788 = V411474 + 1. assign V632331 = V888524 - 1. assign V770516 = V788894. assign V072666 = V611852. assign V391993 = V507315 - 1. assign V507315 = V949210 - 1. assign V954921 = V327116 + 1. assign V573438 = V071936. assign V869410 = V428856 - 1. assign V513681 = V333460 - 1. assign V593942 = V334144. assign V888524 = V604702. assign V949210 = V392864 - 1. assign V955826 = V611852 + 1. assign V659256 = 5. assign V120117 = V955826 + 1. assign V649676 = V327116 - 1. assign V917525 = V747882 - 1. assign V772395 = V957181. assign V394326 = V959707. assign V425557 = V047906 - 1. assign V735530 = V027803 - 1. assign V953847 = V132628. assign V614732 = V334144. assign V677667 = V071936 - 1. assign V203670 = V334144 - 1. assign V786248 = V132948. assign V158781 = V573438 - 1. assign V428856 = V239344. assign V102225 = V027803. assign V491522 = V604702. assign V179515 = V573438 + 1. assign V425401 = V392864 + 1. assign V287531 = V622403 + 1. assign V684012 = V735530. assign V174121 = V735530 - 1. assign V000283 = V974168 + 1. assign V982862 = V491522 - 1. assign V326567 = V092887. assign V947153 = V092887. assign V106876 = V425557. assign V496015 = V411474 - 1. assign V957181 = V250499. assign V604702 = V047906 - 1. assign V132628 = V735530 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V347107 = V888524 - 1. assign V661365 = V072666 + 1. assign V506320 = V457057. assign V568019 = V092887 + 1. assign V411474 = V949210. assign V616852 = V174121. assign V336944 = V027803. assign V264441 = V120117. assign V132948 = V649676 - 1. assign V490350 = V772395. assign V392864 = V004084. assign V611852 = V027803 + 1. assign V675453 = V004084 - 1. assign V715113 = V203670 + 1. assign V047906 = V071936 - 1. assign V250499 = V327116 + 1. assign V333460 = V747882. assign V069103 = V071936 + 1. assign V080841 = V959707. assign V622403 = V326567 - 1. assign V239344 = V904244 - 1. assign V974168 = V715113 - 1. assign V073083 = V675453. assign V681145 = V071936 + 1. assign V071936 = V092887 - 1. assign V457057 = V888524. assign V904244 = V327116 + 1. assign V788894 = V949210. assign V327116 = V092887. assign V700874 = V411474 - 1. assign V003531 = V336944 - 1. assign V027803 = V004084 + 1. assign V918980 = V003531 - 1. assign V791850 = V491522 + 1. assign V202384 = V250499 + 1. assign V191949 = V675453 - 1. assign V747882 = V334144 + 1. assign V334144 = V904244. assign V959707 = V392864 - 1. assign V092887 = V004084. assign V362704 = V659256 - 1. assign V327788 = V411474 + 1. assign V632331 = V888524 - 1. assign V770516 = V788894. assign V072666 = V611852. assign V391993 = V507315 - 1. assign V507315 = V949210 - 1. assign V954921 = V327116 + 1. assign V573438 = V071936. assign V869410 = V428856 - 1. assign V513681 = V333460 - 1. assign V593942 = V334144. assign V888524 = V604702. assign V949210 = V392864 - 1. assign V955826 = V611852 + 1. assign V659256 = 5. assign V120117 = V955826 + 1. assign V649676 = V327116 - 1. assign V917525 = V747882 - 1. assign V772395 = V957181. assign V394326 = V959707. assign V425557 = V047906 - 1. assign V735530 = V027803 - 1. assign V953847 = V132628. assign V614732 = V334144. assign V677667 = V071936 - 1. assign V203670 = V334144 - 1. assign V786248 = V132948. assign V158781 = V573438 - 1. assign V428856 = V239344. assign V102225 = V027803. assign V491522 = V604702. assign V179515 = V573438 + 1. assign V425401 = V392864 + 1. assign V287531 = V622403 + 1. assign V684012 = V735530. assign V174121 = V735530 - 1. assign V000283 = V974168 + 1. assign V982862 = V491522 - 1. assign V326567 = V092887. assign V947153 = V092887. assign V106876 = V425557. assign V496015 = V411474 - 1. assign V957181 = V250499. assign V604702 = V047906 - 1. assign V132628 = V735530 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV659256 = 5;\n\nFrom these direct assignment(s), we have: \nV362704 = V659256 - 1 = 5 - 1 =4;\nNo other variables can be derived from V362704;\nNo other variables can be derived from V659256;\n\nNow we have done all the calculations. Derived variables are:\nV659256 = 5;\nV362704 = 4;\n\nNow we have finished this problem. ANSWER:\nV659256\n", "role": "assistant" } ]

[ "V924057", "V555237" ]

[ { "content": "<context>\nassign V598186 = V318641 - 1. assign V980903 = V785063. assign V774624 = V898767 + 1. assign V427592 = V948199. assign V722948 = V761815 - 1. assign V337223 = V545279. assign V761815 = V161240 - 1. assign V631333 = V341664 - 1. assign V383300 = V273365 + 1. assign V571300 = V337223 - 1. assign V943468 = V249524 + 1. assign V683013 = V396363. assign V161240 = V785063. assign V169996 = V274244 + 1. assign V545279 = V274244. assign V555237 = V924057. assign V532706 = V472825. assign V876506 = V037450 - 1. assign V607166 = V683013 + 1. assign V145149 = V274244 - 1. assign V318641 = V499423 - 1. assign V567999 = V037450. assign V672920 = V211247. assign V117386 = V640161 + 1. assign V785063 = V341664 + 1. assign V956936 = V282117 - 1. assign V415356 = V571300 - 1. assign V278270 = V341664 + 1. assign V704524 = V746918 - 1. assign V647011 = V761815. assign V786606 = V211247. assign V937484 = V876506 + 1. assign V125744 = V249524 + 1. assign V639074 = V181465. assign V662568 = V943468 + 1. assign V364892 = V161240 - 1. assign V344953 = V920045 + 1. assign V898767 = V968988. assign V430055 = V181465 + 1. assign V640152 = V956936 - 1. assign V130309 = V278270 + 1. assign V181465 = V249524 + 1. assign V235902 = V683013. assign V746918 = V318641. assign V376609 = V876506. assign V853563 = V545279. assign V948199 = V141890. assign V380141 = V274244 + 1. assign V583792 = V274244. assign V924057 = 4. assign V911935 = V161240 + 1. assign V002598 = V737024 - 1. assign V640161 = V761815. assign V341664 = V737024 + 1. assign V929347 = V211247 - 1. assign V235062 = V960824. assign V926643 = V249524. assign V422681 = V774945. assign V282117 = V631333. assign V141890 = V943468 - 1. assign V550497 = V785063 + 1. assign V655024 = V211247. assign V303442 = V683013. assign V282791 = V396363 - 1. assign V273365 = V737024 + 1. assign V396363 = V631333 - 1. assign V308943 = V037450 + 1. assign V347610 = V499423 - 1. assign V034458 = V472825. assign V499423 = V396363 - 1. assign V960824 = V631333. assign V037450 = V737024 + 1. assign V211247 = V341664 - 1. assign V522767 = V640152. assign V885094 = V130309. assign V968988 = V785063. assign V249524 = V737024 + 1. assign V303010 = V876506 + 1. assign V567503 = V235902 + 1. assign V472825 = V631333. assign V774945 = V169996 - 1. assign V583439 = V943468. assign V569631 = V282791 - 1. assign V274244 = V737024 + 1. assign V920045 = V853563 - 1. assign V473382 = V278270.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V598186 = V318641 - 1. assign V980903 = V785063. assign V774624 = V898767 + 1. assign V427592 = V948199. assign V722948 = V761815 - 1. assign V337223 = V545279. assign V761815 = V161240 - 1. assign V631333 = V341664 - 1. assign V383300 = V273365 + 1. assign V571300 = V337223 - 1. assign V943468 = V249524 + 1. assign V683013 = V396363. assign V161240 = V785063. assign V169996 = V274244 + 1. assign V545279 = V274244. assign V555237 = V924057. assign V532706 = V472825. assign V876506 = V037450 - 1. assign V607166 = V683013 + 1. assign V145149 = V274244 - 1. assign V318641 = V499423 - 1. assign V567999 = V037450. assign V672920 = V211247. assign V117386 = V640161 + 1. assign V785063 = V341664 + 1. assign V956936 = V282117 - 1. assign V415356 = V571300 - 1. assign V278270 = V341664 + 1. assign V704524 = V746918 - 1. assign V647011 = V761815. assign V786606 = V211247. assign V937484 = V876506 + 1. assign V125744 = V249524 + 1. assign V639074 = V181465. assign V662568 = V943468 + 1. assign V364892 = V161240 - 1. assign V344953 = V920045 + 1. assign V898767 = V968988. assign V430055 = V181465 + 1. assign V640152 = V956936 - 1. assign V130309 = V278270 + 1. assign V181465 = V249524 + 1. assign V235902 = V683013. assign V746918 = V318641. assign V376609 = V876506. assign V853563 = V545279. assign V948199 = V141890. assign V380141 = V274244 + 1. assign V583792 = V274244. assign V924057 = 4. assign V911935 = V161240 + 1. assign V002598 = V737024 - 1. assign V640161 = V761815. assign V341664 = V737024 + 1. assign V929347 = V211247 - 1. assign V235062 = V960824. assign V926643 = V249524. assign V422681 = V774945. assign V282117 = V631333. assign V141890 = V943468 - 1. assign V550497 = V785063 + 1. assign V655024 = V211247. assign V303442 = V683013. assign V282791 = V396363 - 1. assign V273365 = V737024 + 1. assign V396363 = V631333 - 1. assign V308943 = V037450 + 1. assign V347610 = V499423 - 1. assign V034458 = V472825. assign V499423 = V396363 - 1. assign V960824 = V631333. assign V037450 = V737024 + 1. assign V211247 = V341664 - 1. assign V522767 = V640152. assign V885094 = V130309. assign V968988 = V785063. assign V249524 = V737024 + 1. assign V303010 = V876506 + 1. assign V567503 = V235902 + 1. assign V472825 = V631333. assign V774945 = V169996 - 1. assign V583439 = V943468. assign V569631 = V282791 - 1. assign V274244 = V737024 + 1. assign V920045 = V853563 - 1. assign V473382 = V278270.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV924057 = 4;\n\nFrom these direct assignment(s), we have: \nV555237 = V924057 = 4;\nNo other variables can be derived from V555237;\nNo other variables can be derived from V924057;\n\nNow we have done all the calculations. Derived variables are:\nV924057 = 4;\nV555237 = 4;\n\nNow we have finished this problem. ANSWER:\nV924057, V555237\n", "role": "assistant" } ]

[ "V204532", "V262750" ]

[ { "content": "<context>\nassign V121010 = V661313 + 1. assign V729866 = V821144 - 1. assign V904226 = V276741 + 1. assign V348919 = V289652. assign V469725 = V763085. assign V097389 = V243994 - 1. assign V820087 = V278661. assign V342227 = V270231. assign V437504 = V469725. assign V938299 = V432188. assign V396113 = V763085. assign V202108 = V984182. assign V689483 = V348919 + 1. assign V624597 = V078300. assign V125742 = V763085 - 1. assign V243827 = V085562 - 1. assign V450888 = V573246 - 1. assign V636690 = V724917 - 1. assign V975088 = V085562. assign V843483 = V078300. assign V243994 = V270231 - 1. assign V478181 = V710971 - 1. assign V927271 = V276741 - 1. assign V932006 = V826443. assign V662625 = V457618 - 1. assign V763085 = V270231. assign V121703 = V469839. assign V744160 = V348919. assign V432188 = V078300. assign V978926 = V661313 + 1. assign V138662 = V469839. assign V322883 = V396113 - 1. assign V585800 = V243994 - 1. assign V984182 = V396113. assign V185962 = V662625 - 1. assign V227928 = V341866. assign V244337 = V243994. assign V047003 = V289652 + 1. assign V294350 = V278661 + 1. assign V093130 = V227928 + 1. assign V340023 = V289652 + 1. assign V484007 = V270444 - 1. assign V498547 = V393134 - 1. assign V180197 = V289652 - 1. assign V085562 = V585800 - 1. assign V724917 = V322883 - 1. assign V393134 = V724917. assign V078300 = V097389 - 1. assign V136172 = V984182. assign V457618 = V243994. assign V436105 = V342227 - 1. assign V963024 = V609249. assign V204532 = 4. assign V075944 = V498547 + 1. assign V289652 = V270231 - 1. assign V687886 = V125742. assign V276741 = V396113. assign V826443 = V984182 + 1. assign V573246 = V624597 - 1. assign V582539 = V437504 - 1. assign V353890 = V927271. assign V625905 = V396113 + 1. assign V112509 = V573246 + 1. assign V118429 = V984182 - 1. assign V221378 = V457618. assign V464061 = V609249. assign V803970 = V221378 - 1. assign V710971 = V457618 - 1. assign V166753 = V289652 - 1. assign V564290 = V097389. assign V341866 = V585800 - 1. assign V821144 = V564290 + 1. assign V021132 = V322883 - 1. assign V609249 = V763085 - 1. assign V012524 = V085562 + 1. assign V025490 = V661313 - 1. assign V084509 = V469839 - 1. assign V046876 = V724917 + 1. assign V661313 = V243994 - 1. assign V437791 = V227928 - 1. assign V373827 = V724917 + 1. assign V270444 = V202108 + 1. assign V469839 = V243994. assign V262750 = V204532. assign V278661 = V963024 - 1. assign V985806 = V763085 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V121010 = V661313 + 1. assign V729866 = V821144 - 1. assign V904226 = V276741 + 1. assign V348919 = V289652. assign V469725 = V763085. assign V097389 = V243994 - 1. assign V820087 = V278661. assign V342227 = V270231. assign V437504 = V469725. assign V938299 = V432188. assign V396113 = V763085. assign V202108 = V984182. assign V689483 = V348919 + 1. assign V624597 = V078300. assign V125742 = V763085 - 1. assign V243827 = V085562 - 1. assign V450888 = V573246 - 1. assign V636690 = V724917 - 1. assign V975088 = V085562. assign V843483 = V078300. assign V243994 = V270231 - 1. assign V478181 = V710971 - 1. assign V927271 = V276741 - 1. assign V932006 = V826443. assign V662625 = V457618 - 1. assign V763085 = V270231. assign V121703 = V469839. assign V744160 = V348919. assign V432188 = V078300. assign V978926 = V661313 + 1. assign V138662 = V469839. assign V322883 = V396113 - 1. assign V585800 = V243994 - 1. assign V984182 = V396113. assign V185962 = V662625 - 1. assign V227928 = V341866. assign V244337 = V243994. assign V047003 = V289652 + 1. assign V294350 = V278661 + 1. assign V093130 = V227928 + 1. assign V340023 = V289652 + 1. assign V484007 = V270444 - 1. assign V498547 = V393134 - 1. assign V180197 = V289652 - 1. assign V085562 = V585800 - 1. assign V724917 = V322883 - 1. assign V393134 = V724917. assign V078300 = V097389 - 1. assign V136172 = V984182. assign V457618 = V243994. assign V436105 = V342227 - 1. assign V963024 = V609249. assign V204532 = 4. assign V075944 = V498547 + 1. assign V289652 = V270231 - 1. assign V687886 = V125742. assign V276741 = V396113. assign V826443 = V984182 + 1. assign V573246 = V624597 - 1. assign V582539 = V437504 - 1. assign V353890 = V927271. assign V625905 = V396113 + 1. assign V112509 = V573246 + 1. assign V118429 = V984182 - 1. assign V221378 = V457618. assign V464061 = V609249. assign V803970 = V221378 - 1. assign V710971 = V457618 - 1. assign V166753 = V289652 - 1. assign V564290 = V097389. assign V341866 = V585800 - 1. assign V821144 = V564290 + 1. assign V021132 = V322883 - 1. assign V609249 = V763085 - 1. assign V012524 = V085562 + 1. assign V025490 = V661313 - 1. assign V084509 = V469839 - 1. assign V046876 = V724917 + 1. assign V661313 = V243994 - 1. assign V437791 = V227928 - 1. assign V373827 = V724917 + 1. assign V270444 = V202108 + 1. assign V469839 = V243994. assign V262750 = V204532. assign V278661 = V963024 - 1. assign V985806 = V763085 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV204532 = 4;\n\nFrom these direct assignment(s), we have: \nV262750 = V204532 = 4;\nNo other variables can be derived from V262750;\nNo other variables can be derived from V204532;\n\nNow we have done all the calculations. Derived variables are:\nV204532 = 4;\nV262750 = 4;\n\nNow we have finished this problem. ANSWER:\nV204532, V262750\n", "role": "assistant" } ]

[ "V892668" ]

[ { "content": "<context>\nassign V063840 = V391246 + 1. assign V780298 = V166475 - 1. assign V862229 = V954896. assign V160549 = V558332 - 1. assign V522930 = V391246 + 1. assign V470230 = V714039. assign V189850 = V063840 - 1. assign V886068 = V071987. assign V997223 = V898909 - 1. assign V795898 = V923973 + 1. assign V037556 = V052432 - 1. assign V373522 = V205162 - 1. assign V125462 = V175423 - 1. assign V865448 = V274091. assign V374844 = V935614. assign V796901 = V274091 + 1. assign V175423 = V448252 - 1. assign V959260 = V935614. assign V714039 = V959260. assign V558332 = V455055 - 1. assign V096863 = V063840 + 1. assign V175704 = V274091 - 1. assign V731633 = V898909 - 1. assign V381106 = V595847. assign V150293 = V959260. assign V953390 = V892668 + 1. assign V358230 = V954035 + 1. assign V954896 = V455055 - 1. assign V877542 = V796901. assign V454339 = V391246 + 1. assign V700322 = V448252 - 1. assign V409917 = V731633 - 1. assign V305780 = V096863 + 1. assign V747250 = V381106. assign V497441 = V909333 + 1. assign V400174 = V150293 - 1. assign V671715 = V448252 + 1. assign V311133 = V274091 - 1. assign V756051 = V567375. assign V448252 = V898909 - 1. assign V525008 = V959260 + 1. assign V274091 = V189850. assign V455055 = V063840 + 1. assign V327689 = V305780. assign V595847 = V189850. assign V074602 = V735778. assign V821406 = V525008 - 1. assign V781955 = V522930. assign V824915 = V898909. assign V881732 = V909333 - 1. assign V263761 = V685601. assign V898909 = V391246 - 1. assign V346030 = V569632 - 1. assign V881155 = V373522 + 1. assign V566320 = V125462. assign V935614 = V834230 + 1. assign V411380 = V263761 - 1. assign V834230 = V448252. assign V569632 = V935614 - 1. assign V223575 = V756051 - 1. assign V735778 = V391246 + 1. assign V047672 = V756051 - 1. assign V071987 = V522930 - 1. assign V052432 = V391246. assign V122359 = V455055. assign V617704 = V175423. assign V685601 = V497441 + 1. assign V567375 = V522930. assign V954035 = V063840 - 1. assign V909333 = V834230 - 1. assign V277252 = V455055. assign V260775 = V454339 - 1. assign V247133 = V881732 + 1. assign V832431 = V522930. assign V923973 = V329801. assign V684771 = V959260 + 1. assign V166475 = V335888. assign V985844 = V311133 - 1. assign V205162 = V454339 - 1. assign V719334 = V047672 - 1. assign V892668 = 0. assign V335888 = V205162 + 1. assign V427891 = V923973 + 1. assign V322259 = V448252. assign V811990 = V448252 + 1. assign V329801 = V454339.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V063840 = V391246 + 1. assign V780298 = V166475 - 1. assign V862229 = V954896. assign V160549 = V558332 - 1. assign V522930 = V391246 + 1. assign V470230 = V714039. assign V189850 = V063840 - 1. assign V886068 = V071987. assign V997223 = V898909 - 1. assign V795898 = V923973 + 1. assign V037556 = V052432 - 1. assign V373522 = V205162 - 1. assign V125462 = V175423 - 1. assign V865448 = V274091. assign V374844 = V935614. assign V796901 = V274091 + 1. assign V175423 = V448252 - 1. assign V959260 = V935614. assign V714039 = V959260. assign V558332 = V455055 - 1. assign V096863 = V063840 + 1. assign V175704 = V274091 - 1. assign V731633 = V898909 - 1. assign V381106 = V595847. assign V150293 = V959260. assign V953390 = V892668 + 1. assign V358230 = V954035 + 1. assign V954896 = V455055 - 1. assign V877542 = V796901. assign V454339 = V391246 + 1. assign V700322 = V448252 - 1. assign V409917 = V731633 - 1. assign V305780 = V096863 + 1. assign V747250 = V381106. assign V497441 = V909333 + 1. assign V400174 = V150293 - 1. assign V671715 = V448252 + 1. assign V311133 = V274091 - 1. assign V756051 = V567375. assign V448252 = V898909 - 1. assign V525008 = V959260 + 1. assign V274091 = V189850. assign V455055 = V063840 + 1. assign V327689 = V305780. assign V595847 = V189850. assign V074602 = V735778. assign V821406 = V525008 - 1. assign V781955 = V522930. assign V824915 = V898909. assign V881732 = V909333 - 1. assign V263761 = V685601. assign V898909 = V391246 - 1. assign V346030 = V569632 - 1. assign V881155 = V373522 + 1. assign V566320 = V125462. assign V935614 = V834230 + 1. assign V411380 = V263761 - 1. assign V834230 = V448252. assign V569632 = V935614 - 1. assign V223575 = V756051 - 1. assign V735778 = V391246 + 1. assign V047672 = V756051 - 1. assign V071987 = V522930 - 1. assign V052432 = V391246. assign V122359 = V455055. assign V617704 = V175423. assign V685601 = V497441 + 1. assign V567375 = V522930. assign V954035 = V063840 - 1. assign V909333 = V834230 - 1. assign V277252 = V455055. assign V260775 = V454339 - 1. assign V247133 = V881732 + 1. assign V832431 = V522930. assign V923973 = V329801. assign V684771 = V959260 + 1. assign V166475 = V335888. assign V985844 = V311133 - 1. assign V205162 = V454339 - 1. assign V719334 = V047672 - 1. assign V892668 = 0. assign V335888 = V205162 + 1. assign V427891 = V923973 + 1. assign V322259 = V448252. assign V811990 = V448252 + 1. assign V329801 = V454339.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV892668 = 0;\n\nFrom these direct assignment(s), we have: \nV953390 = V892668 + 1 = 0 + 1 =1;\nNo other variables can be derived from V953390;\nNo other variables can be derived from V892668;\n\nNow we have done all the calculations. Derived variables are:\nV892668 = 0;\nV953390 = 1;\n\nNow we have finished this problem. ANSWER:\nV892668\n", "role": "assistant" } ]

[ "V886596" ]

[ { "content": "<context>\nassign V775503 = V007278. assign V385915 = V371618 - 1. assign V736846 = V275909 + 1. assign V962271 = V953734 - 1. assign V691561 = V775503 - 1. assign V505979 = V841183. assign V146980 = V190898 - 1. assign V485846 = V181055. assign V088933 = V954757. assign V886596 = 9. assign V034131 = V989875 - 1. assign V594968 = V841183. assign V940607 = V181055 + 1. assign V383001 = V146980 - 1. assign V954757 = V067022 + 1. assign V813849 = V911300 - 1. assign V911300 = V055975 - 1. assign V665565 = V962271 + 1. assign V665977 = V366571 + 1. assign V635443 = V430329 - 1. assign V380024 = V485846 - 1. assign V748468 = V955047 - 1. assign V640414 = V989875 - 1. assign V067663 = V747696 - 1. assign V355163 = V055975. assign V621617 = V067663 + 1. assign V623900 = V207868. assign V408578 = V037033 - 1. assign V685688 = V758005 - 1. assign V562198 = V355163. assign V815910 = V383001 - 1. assign V951788 = V355163 + 1. assign V841183 = V657385. assign V618789 = V376142. assign V597287 = V660434 - 1. assign V660434 = V181055 + 1. assign V694899 = V940607. assign V989875 = V635443. assign V518567 = V366571. assign V136057 = V660434 + 1. assign V594613 = V206280. assign V115134 = V067022. assign V954903 = V594968 - 1. assign V190898 = V065708 - 1. assign V275909 = V775503 + 1. assign V657385 = V181055. assign V007278 = V635443 + 1. assign V206280 = V955047 + 1. assign V266780 = V953734 - 1. assign V798873 = V694899 - 1. assign V222014 = V037033 - 1. assign V249075 = V037033. assign V777011 = V430329. assign V207868 = V146980. assign V819392 = V266780 - 1. assign V306925 = V383001 + 1. assign V055975 = V594968 - 1. assign V743938 = V708988. assign V450110 = V190898 - 1. assign V953734 = V181055 + 1. assign V508965 = V660434 + 1. assign V956372 = V505979. assign V430329 = V953734 + 1. assign V376142 = V065708 + 1. assign V123034 = V079950 + 1. assign V036462 = V505979 - 1. assign V371618 = V266780 - 1. assign V116713 = V953734 + 1. assign V242695 = V181055 - 1. assign V037033 = V505979. assign V747696 = V665565 + 1. assign V955047 = V146980. assign V693100 = V954757. assign V741770 = V660434. assign V720147 = V430329 + 1. assign V079950 = V660434 - 1. assign V065708 = V657385 + 1. assign V937859 = V886596 + 1. assign V776985 = V079950. assign V366571 = V249075 + 1. assign V708988 = V660434. assign V466261 = V693100. assign V486025 = V954903. assign V698160 = V266780 - 1. assign V067022 = V841183 + 1. assign V758005 = V450110 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V775503 = V007278. assign V385915 = V371618 - 1. assign V736846 = V275909 + 1. assign V962271 = V953734 - 1. assign V691561 = V775503 - 1. assign V505979 = V841183. assign V146980 = V190898 - 1. assign V485846 = V181055. assign V088933 = V954757. assign V886596 = 9. assign V034131 = V989875 - 1. assign V594968 = V841183. assign V940607 = V181055 + 1. assign V383001 = V146980 - 1. assign V954757 = V067022 + 1. assign V813849 = V911300 - 1. assign V911300 = V055975 - 1. assign V665565 = V962271 + 1. assign V665977 = V366571 + 1. assign V635443 = V430329 - 1. assign V380024 = V485846 - 1. assign V748468 = V955047 - 1. assign V640414 = V989875 - 1. assign V067663 = V747696 - 1. assign V355163 = V055975. assign V621617 = V067663 + 1. assign V623900 = V207868. assign V408578 = V037033 - 1. assign V685688 = V758005 - 1. assign V562198 = V355163. assign V815910 = V383001 - 1. assign V951788 = V355163 + 1. assign V841183 = V657385. assign V618789 = V376142. assign V597287 = V660434 - 1. assign V660434 = V181055 + 1. assign V694899 = V940607. assign V989875 = V635443. assign V518567 = V366571. assign V136057 = V660434 + 1. assign V594613 = V206280. assign V115134 = V067022. assign V954903 = V594968 - 1. assign V190898 = V065708 - 1. assign V275909 = V775503 + 1. assign V657385 = V181055. assign V007278 = V635443 + 1. assign V206280 = V955047 + 1. assign V266780 = V953734 - 1. assign V798873 = V694899 - 1. assign V222014 = V037033 - 1. assign V249075 = V037033. assign V777011 = V430329. assign V207868 = V146980. assign V819392 = V266780 - 1. assign V306925 = V383001 + 1. assign V055975 = V594968 - 1. assign V743938 = V708988. assign V450110 = V190898 - 1. assign V953734 = V181055 + 1. assign V508965 = V660434 + 1. assign V956372 = V505979. assign V430329 = V953734 + 1. assign V376142 = V065708 + 1. assign V123034 = V079950 + 1. assign V036462 = V505979 - 1. assign V371618 = V266780 - 1. assign V116713 = V953734 + 1. assign V242695 = V181055 - 1. assign V037033 = V505979. assign V747696 = V665565 + 1. assign V955047 = V146980. assign V693100 = V954757. assign V741770 = V660434. assign V720147 = V430329 + 1. assign V079950 = V660434 - 1. assign V065708 = V657385 + 1. assign V937859 = V886596 + 1. assign V776985 = V079950. assign V366571 = V249075 + 1. assign V708988 = V660434. assign V466261 = V693100. assign V486025 = V954903. assign V698160 = V266780 - 1. assign V067022 = V841183 + 1. assign V758005 = V450110 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV886596 = 9;\n\nFrom these direct assignment(s), we have: \nV937859 = V886596 + 1 = 9 + 1 =10;\nNo other variables can be derived from V937859;\nNo other variables can be derived from V886596;\n\nNow we have done all the calculations. Derived variables are:\nV886596 = 9;\nV937859 = 10;\n\nNow we have finished this problem. ANSWER:\nV886596\n", "role": "assistant" } ]

[ "V902977" ]

[ { "content": "<context>\nassign V673293 = V419947 - 1. assign V742803 = V719842 + 1. assign V876831 = V942970 - 1. assign V413461 = V712885. assign V621460 = V541425. assign V731004 = V893478 - 1. assign V255001 = V413461 + 1. assign V983765 = V866704. assign V867038 = V410487 + 1. assign V408562 = V655566 - 1. assign V230243 = V731004. assign V842587 = V867038 + 1. assign V941898 = V222856 + 1. assign V866704 = V420378 - 1. assign V949695 = V417669. assign V420279 = V942970. assign V557573 = V786744. assign V222856 = V945600. assign V333417 = V731004 - 1. assign V712885 = V427513. assign V786744 = V222856 - 1. assign V617768 = V333417. assign V274351 = V556905. assign V420378 = V942970 - 1. assign V778363 = V410487 - 1. assign V902977 = V071735 - 1. assign V110096 = V731004 + 1. assign V691296 = V283234 - 1. assign V012421 = V898978 + 1. assign V608901 = V915052. assign V732928 = V586183 + 1. assign V507483 = V255001 + 1. assign V264954 = V945600. assign V125762 = V420228 + 1. assign V891977 = V945600. assign V089899 = V427513 + 1. assign V519221 = V942970 + 1. assign V468479 = V541425. assign V915052 = V256148 - 1. assign V540140 = V691296 + 1. assign V420228 = V420378 - 1. assign V942970 = V283234 + 1. assign V738230 = V867038. assign V779366 = V540140 + 1. assign V312801 = V089899. assign V701315 = V691296 - 1. assign V313005 = V655566 + 1. assign V893478 = V942970 + 1. assign V655566 = V420378 - 1. assign V882413 = V732928. assign V571418 = V186359 + 1. assign V732271 = V691296 + 1. assign V076198 = V222856 - 1. assign V217523 = V949695 + 1. assign V719567 = V222856 - 1. assign V234461 = V893478 + 1. assign V417669 = V945600 + 1. assign V256148 = V945600. assign V171354 = V255001. assign V463137 = V876831. assign V581127 = V738230. assign V625904 = V264954. assign V830862 = V691296 + 1. assign V898978 = V945600 + 1. assign V427513 = V283234 + 1. assign V385751 = V719567 - 1. assign V719842 = V621460. assign V410487 = V264954 - 1. assign V071735 = 1. assign V598529 = V949695. assign V505767 = V076198. assign V541425 = V410487 + 1. assign V643418 = V427513 + 1. assign V556905 = V255001 - 1. assign V485685 = V842587 + 1. assign V186359 = V801728. assign V365341 = V867038 - 1. assign V209949 = V485685 + 1. assign V056544 = V427513 - 1. assign V588531 = V541425 + 1. assign V419947 = V942970 - 1. assign V856166 = V222856. assign V945600 = V712885 - 1. assign V586183 = V419947 - 1. assign V801728 = V540140. assign V000084 = V786744 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V673293 = V419947 - 1. assign V742803 = V719842 + 1. assign V876831 = V942970 - 1. assign V413461 = V712885. assign V621460 = V541425. assign V731004 = V893478 - 1. assign V255001 = V413461 + 1. assign V983765 = V866704. assign V867038 = V410487 + 1. assign V408562 = V655566 - 1. assign V230243 = V731004. assign V842587 = V867038 + 1. assign V941898 = V222856 + 1. assign V866704 = V420378 - 1. assign V949695 = V417669. assign V420279 = V942970. assign V557573 = V786744. assign V222856 = V945600. assign V333417 = V731004 - 1. assign V712885 = V427513. assign V786744 = V222856 - 1. assign V617768 = V333417. assign V274351 = V556905. assign V420378 = V942970 - 1. assign V778363 = V410487 - 1. assign V902977 = V071735 - 1. assign V110096 = V731004 + 1. assign V691296 = V283234 - 1. assign V012421 = V898978 + 1. assign V608901 = V915052. assign V732928 = V586183 + 1. assign V507483 = V255001 + 1. assign V264954 = V945600. assign V125762 = V420228 + 1. assign V891977 = V945600. assign V089899 = V427513 + 1. assign V519221 = V942970 + 1. assign V468479 = V541425. assign V915052 = V256148 - 1. assign V540140 = V691296 + 1. assign V420228 = V420378 - 1. assign V942970 = V283234 + 1. assign V738230 = V867038. assign V779366 = V540140 + 1. assign V312801 = V089899. assign V701315 = V691296 - 1. assign V313005 = V655566 + 1. assign V893478 = V942970 + 1. assign V655566 = V420378 - 1. assign V882413 = V732928. assign V571418 = V186359 + 1. assign V732271 = V691296 + 1. assign V076198 = V222856 - 1. assign V217523 = V949695 + 1. assign V719567 = V222856 - 1. assign V234461 = V893478 + 1. assign V417669 = V945600 + 1. assign V256148 = V945600. assign V171354 = V255001. assign V463137 = V876831. assign V581127 = V738230. assign V625904 = V264954. assign V830862 = V691296 + 1. assign V898978 = V945600 + 1. assign V427513 = V283234 + 1. assign V385751 = V719567 - 1. assign V719842 = V621460. assign V410487 = V264954 - 1. assign V071735 = 1. assign V598529 = V949695. assign V505767 = V076198. assign V541425 = V410487 + 1. assign V643418 = V427513 + 1. assign V556905 = V255001 - 1. assign V485685 = V842587 + 1. assign V186359 = V801728. assign V365341 = V867038 - 1. assign V209949 = V485685 + 1. assign V056544 = V427513 - 1. assign V588531 = V541425 + 1. assign V419947 = V942970 - 1. assign V856166 = V222856. assign V945600 = V712885 - 1. assign V586183 = V419947 - 1. assign V801728 = V540140. assign V000084 = V786744 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV071735 = 1;\n\nFrom these direct assignment(s), we have: \nV902977 = V071735 - 1 = 1 - 1 =0;\nNo other variables can be derived from V902977;\nNo other variables can be derived from V071735;\n\nNow we have done all the calculations. Derived variables are:\nV071735 = 1;\nV902977 = 0;\n\nNow we have finished this problem. ANSWER:\nV902977\n", "role": "assistant" } ]

[ "V093033" ]

[ { "content": "<context>\nassign V269281 = V087803 - 1. assign V633660 = V860732 + 1. assign V292335 = V087803 + 1. assign V659284 = V570097 + 1. assign V320106 = V269281 - 1. assign V912185 = V254851 + 1. assign V254851 = V002461 + 1. assign V971637 = V314495 + 1. assign V156118 = V887347. assign V140486 = V147488. assign V054390 = V341345 + 1. assign V753414 = V525045 + 1. assign V158797 = V307371 - 1. assign V505777 = V179451 - 1. assign V989686 = V860732 - 1. assign V341345 = V659284. assign V027520 = V853557 - 1. assign V761043 = V570097. assign V110531 = V077141 - 1. assign V196671 = V505777 - 1. assign V515124 = V585909. assign V527121 = V087803 - 1. assign V138569 = V886269 - 1. assign V307371 = V376465. assign V002461 = V522294 - 1. assign V376465 = V751597 + 1. assign V400980 = V269281 + 1. assign V904415 = V376465 + 1. assign V905508 = V527406 - 1. assign V087803 = V659284 - 1. assign V835025 = V951202. assign V362030 = V054390 - 1. assign V549694 = V196671. assign V143097 = V394699. assign V590332 = V027520 + 1. assign V224258 = V988367 - 1. assign V100264 = V143097. assign V179451 = V751597 - 1. assign V174046 = V158408. assign V179858 = V216711 - 1. assign V132944 = V576603 - 1. assign V458503 = V919488 + 1. assign V585909 = V887347 + 1. assign V158408 = V077141 - 1. assign V837603 = V451495. assign V527406 = V901235. assign V216711 = V860732. assign V522294 = V853557 - 1. assign V926991 = V887347 + 1. assign V655507 = V093033 - 1. assign V583794 = V269281. assign V802125 = V570097. assign V147488 = V451495 - 1. assign V525045 = V341345 + 1. assign V886269 = V054390. assign V751597 = V341345. assign V853557 = V901235. assign V951202 = V087803. assign V270815 = V362030 - 1. assign V841952 = V904415 + 1. assign V016791 = V761043 - 1. assign V860732 = V751597. assign V848664 = V224258. assign V440430 = V341345 - 1. assign V978120 = V755162 + 1. assign V988367 = V400980 - 1. assign V093033 = 8. assign V755162 = V570097. assign V626741 = V269281. assign V077141 = V376465 + 1. assign V887347 = V376465 - 1. assign V919488 = V659284 + 1. assign V266464 = V887347 + 1. assign V314495 = V751597 - 1. assign V606007 = V138569 + 1. assign V297221 = V394699 - 1. assign V828422 = V525045 + 1. assign V901235 = V269281 + 1. assign V457416 = V376465. assign V552496 = V761043 + 1. assign V576603 = V451495. assign V394699 = V179858. assign V802492 = V224258. assign V247230 = V376465. assign V451495 = V269281. assign V845772 = V988367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V269281 = V087803 - 1. assign V633660 = V860732 + 1. assign V292335 = V087803 + 1. assign V659284 = V570097 + 1. assign V320106 = V269281 - 1. assign V912185 = V254851 + 1. assign V254851 = V002461 + 1. assign V971637 = V314495 + 1. assign V156118 = V887347. assign V140486 = V147488. assign V054390 = V341345 + 1. assign V753414 = V525045 + 1. assign V158797 = V307371 - 1. assign V505777 = V179451 - 1. assign V989686 = V860732 - 1. assign V341345 = V659284. assign V027520 = V853557 - 1. assign V761043 = V570097. assign V110531 = V077141 - 1. assign V196671 = V505777 - 1. assign V515124 = V585909. assign V527121 = V087803 - 1. assign V138569 = V886269 - 1. assign V307371 = V376465. assign V002461 = V522294 - 1. assign V376465 = V751597 + 1. assign V400980 = V269281 + 1. assign V904415 = V376465 + 1. assign V905508 = V527406 - 1. assign V087803 = V659284 - 1. assign V835025 = V951202. assign V362030 = V054390 - 1. assign V549694 = V196671. assign V143097 = V394699. assign V590332 = V027520 + 1. assign V224258 = V988367 - 1. assign V100264 = V143097. assign V179451 = V751597 - 1. assign V174046 = V158408. assign V179858 = V216711 - 1. assign V132944 = V576603 - 1. assign V458503 = V919488 + 1. assign V585909 = V887347 + 1. assign V158408 = V077141 - 1. assign V837603 = V451495. assign V527406 = V901235. assign V216711 = V860732. assign V522294 = V853557 - 1. assign V926991 = V887347 + 1. assign V655507 = V093033 - 1. assign V583794 = V269281. assign V802125 = V570097. assign V147488 = V451495 - 1. assign V525045 = V341345 + 1. assign V886269 = V054390. assign V751597 = V341345. assign V853557 = V901235. assign V951202 = V087803. assign V270815 = V362030 - 1. assign V841952 = V904415 + 1. assign V016791 = V761043 - 1. assign V860732 = V751597. assign V848664 = V224258. assign V440430 = V341345 - 1. assign V978120 = V755162 + 1. assign V988367 = V400980 - 1. assign V093033 = 8. assign V755162 = V570097. assign V626741 = V269281. assign V077141 = V376465 + 1. assign V887347 = V376465 - 1. assign V919488 = V659284 + 1. assign V266464 = V887347 + 1. assign V314495 = V751597 - 1. assign V606007 = V138569 + 1. assign V297221 = V394699 - 1. assign V828422 = V525045 + 1. assign V901235 = V269281 + 1. assign V457416 = V376465. assign V552496 = V761043 + 1. assign V576603 = V451495. assign V394699 = V179858. assign V802492 = V224258. assign V247230 = V376465. assign V451495 = V269281. assign V845772 = V988367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV093033 = 8;\n\nFrom these direct assignment(s), we have: \nV655507 = V093033 - 1 = 8 - 1 =7;\nNo other variables can be derived from V655507;\nNo other variables can be derived from V093033;\n\nNow we have done all the calculations. Derived variables are:\nV093033 = 8;\nV655507 = 7;\n\nNow we have finished this problem. ANSWER:\nV093033\n", "role": "assistant" } ]

[ "V504573", "V461114" ]

[ { "content": "<context>\nassign V277040 = V393698 + 1. assign V686693 = V031573 + 1. assign V784702 = V265431 + 1. assign V635749 = V113327. assign V115500 = V318121. assign V548261 = V592815. assign V372203 = V002824 + 1. assign V424258 = V283891 - 1. assign V318121 = V037141 + 1. assign V307417 = V115500 - 1. assign V002824 = V457079 + 1. assign V404668 = V002824 + 1. assign V027577 = V592815. assign V900829 = V548651 + 1. assign V843149 = V879445 - 1. assign V363968 = V559407 - 1. assign V892496 = V559407 - 1. assign V317065 = V761535. assign V296268 = V044222. assign V615929 = V393698. assign V108247 = V402323 - 1. assign V227582 = V063730 + 1. assign V393698 = V726528. assign V265431 = V283891 - 1. assign V759429 = V676827. assign V608243 = V687623 + 1. assign V629559 = V761535 + 1. assign V517666 = V404668 + 1. assign V447944 = V083581 - 1. assign V802573 = V676827. assign V031573 = V084428 - 1. assign V548651 = V277040 - 1. assign V627166 = V559407 + 1. assign V879445 = V037141 + 1. assign V075204 = V496058 + 1. assign V120595 = V283891 - 1. assign V087846 = V110256. assign V142377 = V554955 + 1. assign V044222 = V457079. assign V996692 = V936234 - 1. assign V457079 = V110256 + 1. assign V629438 = V274897. assign V732933 = V037141 - 1. assign V083581 = V044222. assign V084428 = V037141. assign V274897 = V457079. assign V034597 = V635749. assign V592815 = V676827 + 1. assign V761535 = V592815 + 1. assign V925608 = V317065 - 1. assign V113327 = V627166 + 1. assign V421596 = V393698 - 1. assign V132347 = V936234 - 1. assign V720554 = V554955 - 1. assign V132760 = V115500. assign V143177 = V421596 + 1. assign V654292 = V307417. assign V936234 = V031573 + 1. assign V687623 = V627166. assign V965393 = V168524. assign V559407 = V726528 + 1. assign V063574 = V687623 - 1. assign V681403 = V627166. assign V751958 = V554955 - 1. assign V837601 = V027577 + 1. assign V402323 = V627166 - 1. assign V110256 = V676827 + 1. assign V461114 = V504573. assign V016697 = V318121 + 1. assign V172399 = V583966. assign V192256 = V548651 + 1. assign V037141 = V110256 + 1. assign V283891 = V726528 - 1. assign V393531 = V615929 + 1. assign V912082 = V031573 - 1. assign V198132 = V277040 + 1. assign V088692 = V592815 + 1. assign V726528 = V110256. assign V496058 = V912082 - 1. assign V554955 = V063730. assign V063730 = V113327 + 1. assign V504573 = 6. assign V995124 = V132760 - 1. assign V583966 = V037141 - 1. assign V168524 = V936234 + 1. assign V272534 = V265431 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V277040 = V393698 + 1. assign V686693 = V031573 + 1. assign V784702 = V265431 + 1. assign V635749 = V113327. assign V115500 = V318121. assign V548261 = V592815. assign V372203 = V002824 + 1. assign V424258 = V283891 - 1. assign V318121 = V037141 + 1. assign V307417 = V115500 - 1. assign V002824 = V457079 + 1. assign V404668 = V002824 + 1. assign V027577 = V592815. assign V900829 = V548651 + 1. assign V843149 = V879445 - 1. assign V363968 = V559407 - 1. assign V892496 = V559407 - 1. assign V317065 = V761535. assign V296268 = V044222. assign V615929 = V393698. assign V108247 = V402323 - 1. assign V227582 = V063730 + 1. assign V393698 = V726528. assign V265431 = V283891 - 1. assign V759429 = V676827. assign V608243 = V687623 + 1. assign V629559 = V761535 + 1. assign V517666 = V404668 + 1. assign V447944 = V083581 - 1. assign V802573 = V676827. assign V031573 = V084428 - 1. assign V548651 = V277040 - 1. assign V627166 = V559407 + 1. assign V879445 = V037141 + 1. assign V075204 = V496058 + 1. assign V120595 = V283891 - 1. assign V087846 = V110256. assign V142377 = V554955 + 1. assign V044222 = V457079. assign V996692 = V936234 - 1. assign V457079 = V110256 + 1. assign V629438 = V274897. assign V732933 = V037141 - 1. assign V083581 = V044222. assign V084428 = V037141. assign V274897 = V457079. assign V034597 = V635749. assign V592815 = V676827 + 1. assign V761535 = V592815 + 1. assign V925608 = V317065 - 1. assign V113327 = V627166 + 1. assign V421596 = V393698 - 1. assign V132347 = V936234 - 1. assign V720554 = V554955 - 1. assign V132760 = V115500. assign V143177 = V421596 + 1. assign V654292 = V307417. assign V936234 = V031573 + 1. assign V687623 = V627166. assign V965393 = V168524. assign V559407 = V726528 + 1. assign V063574 = V687623 - 1. assign V681403 = V627166. assign V751958 = V554955 - 1. assign V837601 = V027577 + 1. assign V402323 = V627166 - 1. assign V110256 = V676827 + 1. assign V461114 = V504573. assign V016697 = V318121 + 1. assign V172399 = V583966. assign V192256 = V548651 + 1. assign V037141 = V110256 + 1. assign V283891 = V726528 - 1. assign V393531 = V615929 + 1. assign V912082 = V031573 - 1. assign V198132 = V277040 + 1. assign V088692 = V592815 + 1. assign V726528 = V110256. assign V496058 = V912082 - 1. assign V554955 = V063730. assign V063730 = V113327 + 1. assign V504573 = 6. assign V995124 = V132760 - 1. assign V583966 = V037141 - 1. assign V168524 = V936234 + 1. assign V272534 = V265431 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV504573 = 6;\n\nFrom these direct assignment(s), we have: \nV461114 = V504573 = 6;\nNo other variables can be derived from V461114;\nNo other variables can be derived from V504573;\n\nNow we have done all the calculations. Derived variables are:\nV504573 = 6;\nV461114 = 6;\n\nNow we have finished this problem. ANSWER:\nV504573, V461114\n", "role": "assistant" } ]

[ "V529651" ]

[ { "content": "<context>\nassign V339038 = V135518 + 1. assign V324290 = V151449. assign V081113 = V127541. assign V206466 = V510526 - 1. assign V744400 = V796920. assign V027714 = V155704 - 1. assign V759921 = V067969 + 1. assign V247013 = V559374 - 1. assign V541400 = V821471 - 1. assign V002140 = V104957 + 1. assign V511130 = V067969 - 1. assign V170336 = V747595 - 1. assign V001329 = V155704 + 1. assign V135518 = V104957. assign V698179 = V096157. assign V962635 = V910800 + 1. assign V142078 = V104957 - 1. assign V741458 = V104957 + 1. assign V005586 = V466731. assign V525640 = V240225. assign V796920 = V741458 - 1. assign V494336 = V524027 - 1. assign V021690 = V243766 - 1. assign V490209 = V104957. assign V336037 = V247013. assign V788490 = V083504 + 1. assign V850901 = V955932 + 1. assign V821471 = V747595 - 1. assign V874781 = V760926 - 1. assign V350642 = V741458 - 1. assign V887510 = V576903 - 1. assign V324701 = V104957 + 1. assign V469775 = V785123. assign V199270 = V254114. assign V559374 = V541400 - 1. assign V631671 = V135518 - 1. assign V880160 = V129635. assign V739985 = V324701 - 1. assign V063595 = V819330 + 1. assign V529651 = V525075 - 1. assign V096157 = V631671. assign V576903 = V510526 - 1. assign V392104 = V747595 - 1. assign V416919 = V541400 - 1. assign V733141 = V127541 + 1. assign V953256 = V819330. assign V934502 = V741458 - 1. assign V151449 = V953256. assign V466731 = V254114. assign V338494 = V324701. assign V678436 = V104957. assign V254114 = V206466 - 1. assign V243766 = V206466 + 1. assign V129635 = V104957 + 1. assign V819330 = V739985 - 1. assign V633393 = V155704 - 1. assign V497836 = V707886. assign V067969 = V129635. assign V127541 = V747595 + 1. assign V302045 = V785123 - 1. assign V155704 = V741458 + 1. assign V083504 = V747595 - 1. assign V915328 = V469775. assign V910800 = V953256 + 1. assign V540734 = V324701. assign V103212 = V466731 + 1. assign V866676 = V240419. assign V510526 = V104957 - 1. assign V760926 = V741458 - 1. assign V577731 = V510526 - 1. assign V705888 = V067969 - 1. assign V525075 = 8. assign V785123 = V254114 + 1. assign V613810 = V559374 - 1. assign V240225 = V254114. assign V221642 = V067969. assign V524027 = V466731 + 1. assign V240419 = V880160. assign V469767 = V338494. assign V778256 = V707886 + 1. assign V529866 = V559374 + 1. assign V354240 = V083504 + 1. assign V747595 = V104957 - 1. assign V413722 = V631671 - 1. assign V707886 = V741458 + 1. assign V955932 = V490209 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V339038 = V135518 + 1. assign V324290 = V151449. assign V081113 = V127541. assign V206466 = V510526 - 1. assign V744400 = V796920. assign V027714 = V155704 - 1. assign V759921 = V067969 + 1. assign V247013 = V559374 - 1. assign V541400 = V821471 - 1. assign V002140 = V104957 + 1. assign V511130 = V067969 - 1. assign V170336 = V747595 - 1. assign V001329 = V155704 + 1. assign V135518 = V104957. assign V698179 = V096157. assign V962635 = V910800 + 1. assign V142078 = V104957 - 1. assign V741458 = V104957 + 1. assign V005586 = V466731. assign V525640 = V240225. assign V796920 = V741458 - 1. assign V494336 = V524027 - 1. assign V021690 = V243766 - 1. assign V490209 = V104957. assign V336037 = V247013. assign V788490 = V083504 + 1. assign V850901 = V955932 + 1. assign V821471 = V747595 - 1. assign V874781 = V760926 - 1. assign V350642 = V741458 - 1. assign V887510 = V576903 - 1. assign V324701 = V104957 + 1. assign V469775 = V785123. assign V199270 = V254114. assign V559374 = V541400 - 1. assign V631671 = V135518 - 1. assign V880160 = V129635. assign V739985 = V324701 - 1. assign V063595 = V819330 + 1. assign V529651 = V525075 - 1. assign V096157 = V631671. assign V576903 = V510526 - 1. assign V392104 = V747595 - 1. assign V416919 = V541400 - 1. assign V733141 = V127541 + 1. assign V953256 = V819330. assign V934502 = V741458 - 1. assign V151449 = V953256. assign V466731 = V254114. assign V338494 = V324701. assign V678436 = V104957. assign V254114 = V206466 - 1. assign V243766 = V206466 + 1. assign V129635 = V104957 + 1. assign V819330 = V739985 - 1. assign V633393 = V155704 - 1. assign V497836 = V707886. assign V067969 = V129635. assign V127541 = V747595 + 1. assign V302045 = V785123 - 1. assign V155704 = V741458 + 1. assign V083504 = V747595 - 1. assign V915328 = V469775. assign V910800 = V953256 + 1. assign V540734 = V324701. assign V103212 = V466731 + 1. assign V866676 = V240419. assign V510526 = V104957 - 1. assign V760926 = V741458 - 1. assign V577731 = V510526 - 1. assign V705888 = V067969 - 1. assign V525075 = 8. assign V785123 = V254114 + 1. assign V613810 = V559374 - 1. assign V240225 = V254114. assign V221642 = V067969. assign V524027 = V466731 + 1. assign V240419 = V880160. assign V469767 = V338494. assign V778256 = V707886 + 1. assign V529866 = V559374 + 1. assign V354240 = V083504 + 1. assign V747595 = V104957 - 1. assign V413722 = V631671 - 1. assign V707886 = V741458 + 1. assign V955932 = V490209 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV525075 = 8;\n\nFrom these direct assignment(s), we have: \nV529651 = V525075 - 1 = 8 - 1 =7;\nNo other variables can be derived from V529651;\nNo other variables can be derived from V525075;\n\nNow we have done all the calculations. Derived variables are:\nV525075 = 8;\nV529651 = 7;\n\nNow we have finished this problem. ANSWER:\nV529651\n", "role": "assistant" } ]

[ "V398438" ]

[ { "content": "<context>\nassign V211124 = V007754 + 1. assign V257339 = V543040 - 1. assign V353092 = V526973 + 1. assign V286365 = V927448 + 1. assign V342004 = V309979. assign V086245 = V964620 - 1. assign V913510 = V278270 + 1. assign V612756 = V286365 + 1. assign V129990 = V807118 - 1. assign V156058 = V257339 - 1. assign V826147 = V271932 - 1. assign V901350 = V501996. assign V018119 = V166486 + 1. assign V580467 = V964620 + 1. assign V186734 = V006346 + 1. assign V417184 = V826147 + 1. assign V543040 = V773941 - 1. assign V419288 = V294150. assign V807118 = V199953 + 1. assign V006346 = V846760 + 1. assign V926265 = V773941. assign V432622 = V773941 + 1. assign V278270 = V199953. assign V964620 = V773941 - 1. assign V033023 = V526973. assign V104111 = V294150 + 1. assign V835233 = V773941. assign V470693 = V773941 - 1. assign V346211 = V026157. assign V846760 = V773941. assign V501996 = V591532 - 1. assign V138418 = V709269 + 1. assign V401283 = V286365. assign V084564 = V846760 + 1. assign V935698 = V391729. assign V840946 = V009617. assign V199953 = V470693 + 1. assign V053833 = V401283 - 1. assign V526973 = V676428. assign V617599 = V225910. assign V503643 = V309979 + 1. assign V952770 = V199953. assign V342856 = V255226. assign V336288 = V342856. assign V709269 = V007754 - 1. assign V887298 = V086245. assign V026157 = V773941 + 1. assign V092346 = V612756. assign V358635 = V898215. assign V034737 = V935698 - 1. assign V255226 = V927448 - 1. assign V238638 = V009617. assign V009617 = V526973 + 1. assign V591532 = V612756 - 1. assign V462395 = V505279 + 1. assign V481618 = V964620. assign V783244 = V807118 - 1. assign V122991 = V773941 + 1. assign V478167 = V927448. assign V271932 = V898215 + 1. assign V391729 = V225910. assign V007754 = V257339 - 1. assign V773941 = V676428 - 1. assign V761778 = V092346 - 1. assign V505279 = V084564 - 1. assign V361345 = 3. assign V315806 = V714979 - 1. assign V045343 = V104111 - 1. assign V805098 = V612756. assign V784799 = V286365. assign V401168 = V271932 - 1. assign V166486 = V104111 - 1. assign V502910 = V358635 - 1. assign V294150 = V543040 + 1. assign V714979 = V543040. assign V898215 = V255226. assign V573395 = V478167. assign V225910 = V676428 + 1. assign V458145 = V286365. assign V676428 = V927448. assign V757113 = V478167. assign V398438 = V361345 - 1. assign V288786 = V773941 - 1. assign V959087 = V417184 + 1. assign V309979 = V255226 - 1. assign V883127 = V926265.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V211124 = V007754 + 1. assign V257339 = V543040 - 1. assign V353092 = V526973 + 1. assign V286365 = V927448 + 1. assign V342004 = V309979. assign V086245 = V964620 - 1. assign V913510 = V278270 + 1. assign V612756 = V286365 + 1. assign V129990 = V807118 - 1. assign V156058 = V257339 - 1. assign V826147 = V271932 - 1. assign V901350 = V501996. assign V018119 = V166486 + 1. assign V580467 = V964620 + 1. assign V186734 = V006346 + 1. assign V417184 = V826147 + 1. assign V543040 = V773941 - 1. assign V419288 = V294150. assign V807118 = V199953 + 1. assign V006346 = V846760 + 1. assign V926265 = V773941. assign V432622 = V773941 + 1. assign V278270 = V199953. assign V964620 = V773941 - 1. assign V033023 = V526973. assign V104111 = V294150 + 1. assign V835233 = V773941. assign V470693 = V773941 - 1. assign V346211 = V026157. assign V846760 = V773941. assign V501996 = V591532 - 1. assign V138418 = V709269 + 1. assign V401283 = V286365. assign V084564 = V846760 + 1. assign V935698 = V391729. assign V840946 = V009617. assign V199953 = V470693 + 1. assign V053833 = V401283 - 1. assign V526973 = V676428. assign V617599 = V225910. assign V503643 = V309979 + 1. assign V952770 = V199953. assign V342856 = V255226. assign V336288 = V342856. assign V709269 = V007754 - 1. assign V887298 = V086245. assign V026157 = V773941 + 1. assign V092346 = V612756. assign V358635 = V898215. assign V034737 = V935698 - 1. assign V255226 = V927448 - 1. assign V238638 = V009617. assign V009617 = V526973 + 1. assign V591532 = V612756 - 1. assign V462395 = V505279 + 1. assign V481618 = V964620. assign V783244 = V807118 - 1. assign V122991 = V773941 + 1. assign V478167 = V927448. assign V271932 = V898215 + 1. assign V391729 = V225910. assign V007754 = V257339 - 1. assign V773941 = V676428 - 1. assign V761778 = V092346 - 1. assign V505279 = V084564 - 1. assign V361345 = 3. assign V315806 = V714979 - 1. assign V045343 = V104111 - 1. assign V805098 = V612756. assign V784799 = V286365. assign V401168 = V271932 - 1. assign V166486 = V104111 - 1. assign V502910 = V358635 - 1. assign V294150 = V543040 + 1. assign V714979 = V543040. assign V898215 = V255226. assign V573395 = V478167. assign V225910 = V676428 + 1. assign V458145 = V286365. assign V676428 = V927448. assign V757113 = V478167. assign V398438 = V361345 - 1. assign V288786 = V773941 - 1. assign V959087 = V417184 + 1. assign V309979 = V255226 - 1. assign V883127 = V926265.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV361345 = 3;\n\nFrom these direct assignment(s), we have: \nV398438 = V361345 - 1 = 3 - 1 =2;\nNo other variables can be derived from V398438;\nNo other variables can be derived from V361345;\n\nNow we have done all the calculations. Derived variables are:\nV361345 = 3;\nV398438 = 2;\n\nNow we have finished this problem. ANSWER:\nV398438\n", "role": "assistant" } ]

[ "V468449" ]

[ { "content": "<context>\nassign V347675 = V572851 - 1. assign V607429 = V958432. assign V993514 = V397564 + 1. assign V783252 = V052569. assign V649484 = V750897. assign V757739 = V998336. assign V185493 = V698069. assign V476260 = V604528 - 1. assign V185327 = V379016 - 1. assign V872631 = V196414. assign V936473 = V800847 + 1. assign V168196 = V272507 - 1. assign V352474 = V554906. assign V753076 = V032342 - 1. assign V820625 = V348009 - 1. assign V196183 = V733607. assign V958432 = V930492. assign V272507 = V998336. assign V397586 = V397564 + 1. assign V468449 = V502872 + 1. assign V535612 = V419022. assign V970021 = V757739 + 1. assign V032342 = V233446. assign V964830 = V815455 - 1. assign V814442 = V196414 - 1. assign V231308 = V998336 - 1. assign V219843 = V572851 - 1. assign V695226 = V998336 + 1. assign V348009 = V970021 + 1. assign V422769 = V766858 - 1. assign V012622 = V815455 + 1. assign V131766 = V759350. assign V800847 = V766858 + 1. assign V880415 = V379016 + 1. assign V579691 = V231308 - 1. assign V998336 = V930492 + 1. assign V604528 = V800847 - 1. assign V584523 = V637710 - 1. assign V759350 = V958432 + 1. assign V629515 = V584523. assign V287953 = V422769 - 1. assign V862176 = V347675 - 1. assign V136731 = V476260. assign V924924 = V992486 - 1. assign V021374 = V052569. assign V419022 = V422769 - 1. assign V406490 = V320241. assign V858549 = V753076 + 1. assign V637710 = V320241 - 1. assign V143554 = V231308. assign V233446 = V360661 - 1. assign V430468 = V783252 + 1. assign V052569 = V272507 - 1. assign V698069 = V233446 + 1. assign V458837 = V622651. assign V294097 = V419022 + 1. assign V196414 = V168196 + 1. assign V992486 = V757739. assign V012596 = V208321 - 1. assign V572851 = V272507 - 1. assign V930492 = V360661. assign V766858 = V231308. assign V502872 = 6. assign V379016 = V753076 + 1. assign V117949 = V168196 + 1. assign V320241 = V430468 - 1. assign V012286 = V143554. assign V837626 = V352474. assign V770094 = V958432 - 1. assign V815455 = V607429. assign V598310 = V233446. assign V990045 = V970021 - 1. assign V248936 = V143554. assign V397564 = V231308 + 1. assign V554906 = V430468 + 1. assign V208321 = V783252 + 1. assign V933200 = V993514. assign V750897 = V379016 - 1. assign V971463 = V759350 - 1. assign V040526 = V837626 - 1. assign V030862 = V958432. assign V889525 = V012596 + 1. assign V733607 = V800847 - 1. assign V622651 = V579691 + 1. assign V624815 = V783252. assign V711817 = V233446 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V347675 = V572851 - 1. assign V607429 = V958432. assign V993514 = V397564 + 1. assign V783252 = V052569. assign V649484 = V750897. assign V757739 = V998336. assign V185493 = V698069. assign V476260 = V604528 - 1. assign V185327 = V379016 - 1. assign V872631 = V196414. assign V936473 = V800847 + 1. assign V168196 = V272507 - 1. assign V352474 = V554906. assign V753076 = V032342 - 1. assign V820625 = V348009 - 1. assign V196183 = V733607. assign V958432 = V930492. assign V272507 = V998336. assign V397586 = V397564 + 1. assign V468449 = V502872 + 1. assign V535612 = V419022. assign V970021 = V757739 + 1. assign V032342 = V233446. assign V964830 = V815455 - 1. assign V814442 = V196414 - 1. assign V231308 = V998336 - 1. assign V219843 = V572851 - 1. assign V695226 = V998336 + 1. assign V348009 = V970021 + 1. assign V422769 = V766858 - 1. assign V012622 = V815455 + 1. assign V131766 = V759350. assign V800847 = V766858 + 1. assign V880415 = V379016 + 1. assign V579691 = V231308 - 1. assign V998336 = V930492 + 1. assign V604528 = V800847 - 1. assign V584523 = V637710 - 1. assign V759350 = V958432 + 1. assign V629515 = V584523. assign V287953 = V422769 - 1. assign V862176 = V347675 - 1. assign V136731 = V476260. assign V924924 = V992486 - 1. assign V021374 = V052569. assign V419022 = V422769 - 1. assign V406490 = V320241. assign V858549 = V753076 + 1. assign V637710 = V320241 - 1. assign V143554 = V231308. assign V233446 = V360661 - 1. assign V430468 = V783252 + 1. assign V052569 = V272507 - 1. assign V698069 = V233446 + 1. assign V458837 = V622651. assign V294097 = V419022 + 1. assign V196414 = V168196 + 1. assign V992486 = V757739. assign V012596 = V208321 - 1. assign V572851 = V272507 - 1. assign V930492 = V360661. assign V766858 = V231308. assign V502872 = 6. assign V379016 = V753076 + 1. assign V117949 = V168196 + 1. assign V320241 = V430468 - 1. assign V012286 = V143554. assign V837626 = V352474. assign V770094 = V958432 - 1. assign V815455 = V607429. assign V598310 = V233446. assign V990045 = V970021 - 1. assign V248936 = V143554. assign V397564 = V231308 + 1. assign V554906 = V430468 + 1. assign V208321 = V783252 + 1. assign V933200 = V993514. assign V750897 = V379016 - 1. assign V971463 = V759350 - 1. assign V040526 = V837626 - 1. assign V030862 = V958432. assign V889525 = V012596 + 1. assign V733607 = V800847 - 1. assign V622651 = V579691 + 1. assign V624815 = V783252. assign V711817 = V233446 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV502872 = 6;\n\nFrom these direct assignment(s), we have: \nV468449 = V502872 + 1 = 6 + 1 =7;\nNo other variables can be derived from V468449;\nNo other variables can be derived from V502872;\n\nNow we have done all the calculations. Derived variables are:\nV502872 = 6;\nV468449 = 7;\n\nNow we have finished this problem. ANSWER:\nV468449\n", "role": "assistant" } ]

[ "V294265", "V435607" ]

[ { "content": "<context>\nassign V268192 = V705829 - 1. assign V497183 = V520459. assign V498002 = V605694 - 1. assign V241109 = V712749 - 1. assign V401008 = V787083 + 1. assign V754140 = V787083 + 1. assign V039903 = V480750. assign V021973 = V543443. assign V617675 = V949124 + 1. assign V970233 = V342972 - 1. assign V374546 = V712749. assign V609485 = V915985 - 1. assign V963682 = V872527. assign V245533 = V342972 + 1. assign V264564 = V245533 + 1. assign V065453 = V712749. assign V091174 = V824354 + 1. assign V966360 = V915985 + 1. assign V040754 = V509929 + 1. assign V744356 = V081260. assign V012803 = V507419. assign V084695 = V720044. assign V751075 = V991052 + 1. assign V640650 = V979328. assign V437285 = V221973 - 1. assign V231537 = V765530 - 1. assign V986606 = V133551 - 1. assign V273904 = V065453 - 1. assign V720044 = V605694. assign V435607 = V294265. assign V872527 = V970233 + 1. assign V294265 = 5. assign V059606 = V133551 - 1. assign V824354 = V871066 + 1. assign V776805 = V949124 - 1. assign V977977 = V374546 - 1. assign V643013 = V273904 + 1. assign V735905 = V342972 - 1. assign V812414 = V264564 - 1. assign V098778 = V084695 + 1. assign V830388 = V979328 - 1. assign V787083 = V970233 + 1. assign V850928 = V273904 + 1. assign V213231 = V221973. assign V507419 = V767972 - 1. assign V096397 = V966360. assign V557808 = V787083 - 1. assign V335572 = V065453. assign V977657 = V374546 + 1. assign V959695 = V872527. assign V429580 = V245533 - 1. assign V586302 = V787083. assign V520459 = V133551. assign V797190 = V871066 + 1. assign V605694 = V264564. assign V979328 = V970233 - 1. assign V480750 = V245533 + 1. assign V573262 = V245533 + 1. assign V312731 = V059606 + 1. assign V765530 = V245533. assign V081260 = V221973 - 1. assign V166512 = V264564 - 1. assign V871066 = V640650 - 1. assign V966010 = V767972 + 1. assign V565981 = V705829. assign V509929 = V342972 - 1. assign V843861 = V712749 - 1. assign V133551 = V509929 + 1. assign V701075 = V543443. assign V767972 = V557808. assign V915985 = V374546 - 1. assign V705829 = V509929. assign V991052 = V543443 + 1. assign V804728 = V273904 - 1. assign V275151 = V705829. assign V712749 = V264564 + 1. assign V460312 = V830388. assign V135109 = V605694 + 1. assign V744916 = V133551. assign V471902 = V231537. assign V335166 = V787083 - 1. assign V154255 = V059606 - 1. assign V949124 = V065453. assign V543443 = V245533 + 1. assign V221973 = V986606. assign V899919 = V221973 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V268192 = V705829 - 1. assign V497183 = V520459. assign V498002 = V605694 - 1. assign V241109 = V712749 - 1. assign V401008 = V787083 + 1. assign V754140 = V787083 + 1. assign V039903 = V480750. assign V021973 = V543443. assign V617675 = V949124 + 1. assign V970233 = V342972 - 1. assign V374546 = V712749. assign V609485 = V915985 - 1. assign V963682 = V872527. assign V245533 = V342972 + 1. assign V264564 = V245533 + 1. assign V065453 = V712749. assign V091174 = V824354 + 1. assign V966360 = V915985 + 1. assign V040754 = V509929 + 1. assign V744356 = V081260. assign V012803 = V507419. assign V084695 = V720044. assign V751075 = V991052 + 1. assign V640650 = V979328. assign V437285 = V221973 - 1. assign V231537 = V765530 - 1. assign V986606 = V133551 - 1. assign V273904 = V065453 - 1. assign V720044 = V605694. assign V435607 = V294265. assign V872527 = V970233 + 1. assign V294265 = 5. assign V059606 = V133551 - 1. assign V824354 = V871066 + 1. assign V776805 = V949124 - 1. assign V977977 = V374546 - 1. assign V643013 = V273904 + 1. assign V735905 = V342972 - 1. assign V812414 = V264564 - 1. assign V098778 = V084695 + 1. assign V830388 = V979328 - 1. assign V787083 = V970233 + 1. assign V850928 = V273904 + 1. assign V213231 = V221973. assign V507419 = V767972 - 1. assign V096397 = V966360. assign V557808 = V787083 - 1. assign V335572 = V065453. assign V977657 = V374546 + 1. assign V959695 = V872527. assign V429580 = V245533 - 1. assign V586302 = V787083. assign V520459 = V133551. assign V797190 = V871066 + 1. assign V605694 = V264564. assign V979328 = V970233 - 1. assign V480750 = V245533 + 1. assign V573262 = V245533 + 1. assign V312731 = V059606 + 1. assign V765530 = V245533. assign V081260 = V221973 - 1. assign V166512 = V264564 - 1. assign V871066 = V640650 - 1. assign V966010 = V767972 + 1. assign V565981 = V705829. assign V509929 = V342972 - 1. assign V843861 = V712749 - 1. assign V133551 = V509929 + 1. assign V701075 = V543443. assign V767972 = V557808. assign V915985 = V374546 - 1. assign V705829 = V509929. assign V991052 = V543443 + 1. assign V804728 = V273904 - 1. assign V275151 = V705829. assign V712749 = V264564 + 1. assign V460312 = V830388. assign V135109 = V605694 + 1. assign V744916 = V133551. assign V471902 = V231537. assign V335166 = V787083 - 1. assign V154255 = V059606 - 1. assign V949124 = V065453. assign V543443 = V245533 + 1. assign V221973 = V986606. assign V899919 = V221973 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV294265 = 5;\n\nFrom these direct assignment(s), we have: \nV435607 = V294265 = 5;\nNo other variables can be derived from V435607;\nNo other variables can be derived from V294265;\n\nNow we have done all the calculations. Derived variables are:\nV294265 = 5;\nV435607 = 5;\n\nNow we have finished this problem. ANSWER:\nV294265, V435607\n", "role": "assistant" } ]