Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k

like 0

[ "V496198", "V833510" ]

[ { "content": "<context>\nassign V362788 = V244620 - 1. assign V081757 = V171726. assign V764766 = V033082 - 1. assign V452498 = V241985. assign V730499 = V078648 - 1. assign V464848 = V502629. assign V881894 = V041936 + 1. assign V822286 = V019781 + 1. assign V237372 = V307778 - 1. assign V105264 = V822286 + 1. assign V144932 = V362788 + 1. assign V329929 = V426652 - 1. assign V962135 = V136055 - 1. assign V622764 = V819431 - 1. assign V509289 = V557647. assign V335001 = V889316 + 1. assign V871468 = V767198 - 1. assign V345547 = V822539 - 1. assign V889316 = V714337. assign V490947 = V078648 + 1. assign V759186 = V605400 - 1. assign V289926 = V263077 - 1. assign V767198 = V082859 - 1. assign V961881 = V144932 + 1. assign V919969 = V335001 - 1. assign V816233 = V307778 + 1. assign V291367 = V171368 + 1. assign V708154 = V249780 + 1. assign V822539 = V249780. assign V950032 = V263077 + 1. assign V240848 = V187871. assign V041936 = V708154 + 1. assign V864774 = V383392 - 1. assign V313454 = V307778 + 1. assign V082859 = V489660 - 1. assign V120567 = V714337 + 1. assign V145847 = V081757 - 1. assign V143571 = V307778 + 1. assign V489660 = V889316 + 1. assign V244620 = V889316. assign V788702 = V462496. assign V171726 = V230997. assign V019781 = V241985 + 1. assign V611300 = V384723 + 1. assign V530956 = V307778. assign V384723 = V974259 - 1. assign V185232 = V489660 + 1. assign V311966 = V041936 - 1. assign V971237 = V484458. assign V713055 = V462496 - 1. assign V023818 = V670573. assign V301173 = V919969 - 1. assign V833831 = V384723 - 1. assign V643718 = V230997 - 1. assign V190628 = V420030 - 1. assign V149992 = V452498. assign V420030 = V084609. assign V496198 = 2. assign V056765 = V191337 - 1. assign V186364 = V156065 - 1. assign V594764 = V249780 - 1. assign V901967 = V877081 - 1. assign V877081 = V241985. assign V171368 = V187871 + 1. assign V328061 = V033082 - 1. assign V737651 = V864774. assign V855049 = V666100 - 1. assign V369294 = V089413 - 1. assign V447354 = V552536 - 1. assign V397021 = V311966 + 1. assign V903418 = V081757. assign V268380 = V670573. assign V438434 = V619116 - 1. assign V514157 = V144932 - 1. assign V135527 = V237372 + 1. assign V719242 = V078648. assign V468817 = V156065. assign V025717 = V237372 - 1. assign V972846 = V249780. assign V150253 = V969271 - 1. assign V399332 = V462496 + 1. assign V241985 = V779247. assign V640395 = V701480 + 1. assign V258722 = V106442 - 1. assign V827324 = V329445. assign V329445 = V824960 - 1. assign V383392 = V307778 + 1. assign V089413 = V263077. assign V624082 = V150253 - 1. assign V306520 = V345547 - 1. assign V503194 = V056765 + 1. assign V564051 = V501318 + 1. assign V605400 = V383392 + 1. assign V730678 = V552536 + 1. assign V165992 = V120567. assign V169154 = V019055. assign V233940 = V950032. assign V228113 = V889316. assign V180431 = V089413 + 1. assign V484458 = V106442 + 1. assign V628423 = V788702. assign V638068 = V089413 - 1. assign V191337 = V106442 - 1. assign V666100 = V889316. assign V497058 = V557647. assign V126841 = V311966. assign V830926 = V552536. assign V491538 = V185232. assign V489516 = V666100 - 1. assign V317777 = V307778 - 1. assign V007983 = V177500. assign V207210 = V369294 + 1. assign V978657 = V759186 + 1. assign V086099 = V025717 + 1. assign V462496 = V307778 + 1. assign V680889 = V369294 + 1. assign V426652 = V822286. assign V263077 = V594764 + 1. assign V983565 = V307778 - 1. assign V628089 = V019781 + 1. assign V502629 = V462496. assign V824960 = V468817 - 1. assign V230997 = V708154 - 1. assign V084609 = V502629. assign V177500 = V187871. assign V969271 = V972846. assign V557647 = V730678 + 1. assign V187871 = V384723. assign V714337 = V263077 + 1. assign V701480 = V883716. assign V552536 = V237372 + 1. assign V274190 = V136055. assign V329843 = V033082 + 1. assign V819431 = V136055 - 1. assign V791195 = V289926 - 1. assign V445058 = V106442. assign V195593 = V136055 - 1. assign V136055 = V822539 - 1. assign V627805 = V708154. assign V833510 = V496198. assign V619116 = V557647 + 1. assign V790041 = V530956 + 1. assign V184848 = V041936 + 1. assign V106442 = V180431 - 1. assign V974259 = V889316 + 1. assign V363244 = V445058 + 1. assign V670573 = V822539. assign V561449 = V708154. assign V019055 = V974259 - 1. assign V027476 = V790041 + 1. assign V083841 = V019055 - 1. assign V321712 = V033082 + 1. assign V264509 = V491538. assign V033082 = V237372 - 1. assign V653843 = V156065. assign V078648 = V345547 + 1. assign V088487 = V329843 - 1. assign V819906 = V397021 - 1. assign V977365 = V369294. assign V697239 = V126841 + 1. assign V008592 = V233940 + 1. assign V307778 = V263077 - 1. assign V724062 = V207210 - 1. assign V129368 = V195593 + 1. assign V476456 = V957361. assign V779247 = V462496 - 1. assign V957361 = V489660 + 1. assign V578260 = V974259. assign V156065 = V249780 + 1. assign V501318 = V971237 + 1. assign V883716 = V289926 - 1. assign V057052 = V307778 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V362788 = V244620 - 1. assign V081757 = V171726. assign V764766 = V033082 - 1. assign V452498 = V241985. assign V730499 = V078648 - 1. assign V464848 = V502629. assign V881894 = V041936 + 1. assign V822286 = V019781 + 1. assign V237372 = V307778 - 1. assign V105264 = V822286 + 1. assign V144932 = V362788 + 1. assign V329929 = V426652 - 1. assign V962135 = V136055 - 1. assign V622764 = V819431 - 1. assign V509289 = V557647. assign V335001 = V889316 + 1. assign V871468 = V767198 - 1. assign V345547 = V822539 - 1. assign V889316 = V714337. assign V490947 = V078648 + 1. assign V759186 = V605400 - 1. assign V289926 = V263077 - 1. assign V767198 = V082859 - 1. assign V961881 = V144932 + 1. assign V919969 = V335001 - 1. assign V816233 = V307778 + 1. assign V291367 = V171368 + 1. assign V708154 = V249780 + 1. assign V822539 = V249780. assign V950032 = V263077 + 1. assign V240848 = V187871. assign V041936 = V708154 + 1. assign V864774 = V383392 - 1. assign V313454 = V307778 + 1. assign V082859 = V489660 - 1. assign V120567 = V714337 + 1. assign V145847 = V081757 - 1. assign V143571 = V307778 + 1. assign V489660 = V889316 + 1. assign V244620 = V889316. assign V788702 = V462496. assign V171726 = V230997. assign V019781 = V241985 + 1. assign V611300 = V384723 + 1. assign V530956 = V307778. assign V384723 = V974259 - 1. assign V185232 = V489660 + 1. assign V311966 = V041936 - 1. assign V971237 = V484458. assign V713055 = V462496 - 1. assign V023818 = V670573. assign V301173 = V919969 - 1. assign V833831 = V384723 - 1. assign V643718 = V230997 - 1. assign V190628 = V420030 - 1. assign V149992 = V452498. assign V420030 = V084609. assign V496198 = 2. assign V056765 = V191337 - 1. assign V186364 = V156065 - 1. assign V594764 = V249780 - 1. assign V901967 = V877081 - 1. assign V877081 = V241985. assign V171368 = V187871 + 1. assign V328061 = V033082 - 1. assign V737651 = V864774. assign V855049 = V666100 - 1. assign V369294 = V089413 - 1. assign V447354 = V552536 - 1. assign V397021 = V311966 + 1. assign V903418 = V081757. assign V268380 = V670573. assign V438434 = V619116 - 1. assign V514157 = V144932 - 1. assign V135527 = V237372 + 1. assign V719242 = V078648. assign V468817 = V156065. assign V025717 = V237372 - 1. assign V972846 = V249780. assign V150253 = V969271 - 1. assign V399332 = V462496 + 1. assign V241985 = V779247. assign V640395 = V701480 + 1. assign V258722 = V106442 - 1. assign V827324 = V329445. assign V329445 = V824960 - 1. assign V383392 = V307778 + 1. assign V089413 = V263077. assign V624082 = V150253 - 1. assign V306520 = V345547 - 1. assign V503194 = V056765 + 1. assign V564051 = V501318 + 1. assign V605400 = V383392 + 1. assign V730678 = V552536 + 1. assign V165992 = V120567. assign V169154 = V019055. assign V233940 = V950032. assign V228113 = V889316. assign V180431 = V089413 + 1. assign V484458 = V106442 + 1. assign V628423 = V788702. assign V638068 = V089413 - 1. assign V191337 = V106442 - 1. assign V666100 = V889316. assign V497058 = V557647. assign V126841 = V311966. assign V830926 = V552536. assign V491538 = V185232. assign V489516 = V666100 - 1. assign V317777 = V307778 - 1. assign V007983 = V177500. assign V207210 = V369294 + 1. assign V978657 = V759186 + 1. assign V086099 = V025717 + 1. assign V462496 = V307778 + 1. assign V680889 = V369294 + 1. assign V426652 = V822286. assign V263077 = V594764 + 1. assign V983565 = V307778 - 1. assign V628089 = V019781 + 1. assign V502629 = V462496. assign V824960 = V468817 - 1. assign V230997 = V708154 - 1. assign V084609 = V502629. assign V177500 = V187871. assign V969271 = V972846. assign V557647 = V730678 + 1. assign V187871 = V384723. assign V714337 = V263077 + 1. assign V701480 = V883716. assign V552536 = V237372 + 1. assign V274190 = V136055. assign V329843 = V033082 + 1. assign V819431 = V136055 - 1. assign V791195 = V289926 - 1. assign V445058 = V106442. assign V195593 = V136055 - 1. assign V136055 = V822539 - 1. assign V627805 = V708154. assign V833510 = V496198. assign V619116 = V557647 + 1. assign V790041 = V530956 + 1. assign V184848 = V041936 + 1. assign V106442 = V180431 - 1. assign V974259 = V889316 + 1. assign V363244 = V445058 + 1. assign V670573 = V822539. assign V561449 = V708154. assign V019055 = V974259 - 1. assign V027476 = V790041 + 1. assign V083841 = V019055 - 1. assign V321712 = V033082 + 1. assign V264509 = V491538. assign V033082 = V237372 - 1. assign V653843 = V156065. assign V078648 = V345547 + 1. assign V088487 = V329843 - 1. assign V819906 = V397021 - 1. assign V977365 = V369294. assign V697239 = V126841 + 1. assign V008592 = V233940 + 1. assign V307778 = V263077 - 1. assign V724062 = V207210 - 1. assign V129368 = V195593 + 1. assign V476456 = V957361. assign V779247 = V462496 - 1. assign V957361 = V489660 + 1. assign V578260 = V974259. assign V156065 = V249780 + 1. assign V501318 = V971237 + 1. assign V883716 = V289926 - 1. assign V057052 = V307778 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV496198 = 2;\n\nFrom these direct assignment(s), we have: \nV833510 = V496198 = 2;\nNo other variables can be derived from V833510;\nNo other variables can be derived from V496198;\n\nNow we have done all the calculations. Derived variables are:\nV496198 = 2;\nV833510 = 2;\n\nNow we have finished this problem. ANSWER:\nV496198, V833510\n", "role": "assistant" } ]

[ "V919210" ]

[ { "content": "<context>\nassign V348103 = V745707 - 1. assign V594788 = V169405 + 1. assign V531475 = V413420 + 1. assign V980246 = V925621. assign V113833 = V195246. assign V991326 = V486357. assign V292803 = V396379. assign V918517 = V290046. assign V137562 = V770101 - 1. assign V433340 = V290046 - 1. assign V470178 = V041032 - 1. assign V846435 = V720180. assign V212960 = V337314 + 1. assign V770101 = V054253 - 1. assign V632795 = V495513 + 1. assign V041032 = V858506 - 1. assign V108933 = V614493. assign V944574 = V699869 + 1. assign V460870 = V815538 + 1. assign V919584 = V337314. assign V316506 = V919584. assign V275391 = V034200. assign V486357 = V278008 - 1. assign V892392 = V798743 - 1. assign V964011 = V021737 - 1. assign V811586 = V114262. assign V171835 = V396379 - 1. assign V531930 = V406444 - 1. assign V101587 = V729828. assign V501713 = V000306. assign V149601 = V079569. assign V699869 = V745707. assign V079569 = V802195. assign V337314 = V068820 - 1. assign V761492 = V045433 + 1. assign V503796 = V501713 - 1. assign V495513 = V396379 - 1. assign V054253 = V919584 - 1. assign V248896 = V171835 - 1. assign V158753 = V944574 - 1. assign V637202 = V483204 + 1. assign V121432 = V490021. assign V568799 = V798743 - 1. assign V774827 = V460870 - 1. assign V034200 = V255897 - 1. assign V821126 = V292803 + 1. assign V694827 = V802195 - 1. assign V700466 = V351934 + 1. assign V459578 = V169405 + 1. assign V542851 = V408419 + 1. assign V068820 = V278008 - 1. assign V022374 = V351934 - 1. assign V588344 = V326638 + 1. assign V121733 = V486357 + 1. assign V164086 = V290046 + 1. assign V721270 = V278008. assign V390825 = V568735 - 1. assign V978087 = V720180 + 1. assign V413420 = V798743. assign V449148 = V351934 + 1. assign V550415 = V122466 + 1. assign V451412 = V568799. assign V096220 = V878601 + 1. assign V302493 = V663245 - 1. assign V122466 = V486357 - 1. assign V133238 = V798743 - 1. assign V607972 = V449148. assign V039222 = V699869 + 1. assign V567741 = V406444. assign V008319 = V351934. assign V907306 = V674908. assign V972963 = V770101. assign V663245 = V054253 - 1. assign V247509 = V531475 - 1. assign V169405 = V278008 - 1. assign V172399 = V212960 - 1. assign V882837 = V060193. assign V701865 = V663245 + 1. assign V706507 = V774827 + 1. assign V275983 = V121432 + 1. assign V697532 = V577982 - 1. assign V363835 = V802195 + 1. assign V926841 = V149601 - 1. assign V434186 = V846435 - 1. assign V699099 = V568799. assign V114262 = V225427. assign V135933 = V713993 - 1. assign V652995 = V255897 + 1. assign V455407 = V486357 - 1. assign V034090 = V204643 - 1. assign V395598 = V326638 + 1. assign V045433 = V925621. assign V713993 = V614493 - 1. assign V225427 = V802195 - 1. assign V406444 = V021737. assign V577982 = V267810 - 1. assign V969077 = V540289. assign V858506 = V169405. assign V830460 = V348103 - 1. assign V168002 = V451412 - 1. assign V408419 = V802195. assign V407677 = V111559 - 1. assign V955350 = V892392 - 1. assign V576649 = V008319. assign V118446 = V068820 - 1. assign V806296 = V830460 + 1. assign V483204 = V494611 - 1. assign V494611 = V713993 - 1. assign V413054 = V576649 - 1. assign V568735 = V531475. assign V919210 = 10. assign V548712 = V108933 + 1. assign V878601 = V267810 + 1. assign V267810 = V278008 + 1. assign V674908 = V060193 + 1. assign V021737 = V068820 + 1. assign V535752 = V798743. assign V760584 = V225427. assign V283376 = V068820 + 1. assign V060193 = V292803 - 1. assign V351934 = V486357 + 1. assign V294837 = V568799 + 1. assign V490021 = V925621 - 1. assign V206712 = V275983 - 1. assign V930926 = V171835. assign V745707 = V118446 - 1. assign V665964 = V267810 - 1. assign V204643 = V172399 + 1. assign V158146 = V283376 + 1. assign V000306 = V283376 + 1. assign V980062 = V919584 - 1. assign V151574 = V745707 - 1. assign V438288 = V247509. assign V528737 = V697532 - 1. assign V802195 = V283376. assign V274004 = V830460 - 1. assign V720180 = V169405. assign V111559 = V169405 + 1. assign V326638 = V408419. assign V798743 = V278008 + 1. assign V893084 = V665964 + 1. assign V418504 = V438288 - 1. assign V917039 = V451412 + 1. assign V729828 = V121432 + 1. assign V195246 = V283376 - 1. assign V050521 = V891030. assign V335957 = V531475. assign V891030 = V699099 - 1. assign V889027 = V919584 - 1. assign V233687 = V275391 - 1. assign V396379 = V335957 + 1. assign V825888 = V022374. assign V614493 = V413420. assign V925621 = V919584. assign V259701 = V060193. assign V594189 = V919210 - 1. assign V832792 = V893084 - 1. assign V290046 = V068820. assign V202828 = V121432. assign V031944 = V034200 + 1. assign V815538 = V348103 - 1. assign V199098 = V021737 + 1. assign V305777 = V158146 + 1. assign V255897 = V169405. assign V776722 = V878601 + 1. assign V540390 = V247509 + 1. assign V502862 = V713993 - 1. assign V540289 = V713993 + 1. assign V187616 = V577982 + 1. assign V763800 = V614493 + 1. assign V194450 = V665964. assign V021495 = V665964 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V348103 = V745707 - 1. assign V594788 = V169405 + 1. assign V531475 = V413420 + 1. assign V980246 = V925621. assign V113833 = V195246. assign V991326 = V486357. assign V292803 = V396379. assign V918517 = V290046. assign V137562 = V770101 - 1. assign V433340 = V290046 - 1. assign V470178 = V041032 - 1. assign V846435 = V720180. assign V212960 = V337314 + 1. assign V770101 = V054253 - 1. assign V632795 = V495513 + 1. assign V041032 = V858506 - 1. assign V108933 = V614493. assign V944574 = V699869 + 1. assign V460870 = V815538 + 1. assign V919584 = V337314. assign V316506 = V919584. assign V275391 = V034200. assign V486357 = V278008 - 1. assign V892392 = V798743 - 1. assign V964011 = V021737 - 1. assign V811586 = V114262. assign V171835 = V396379 - 1. assign V531930 = V406444 - 1. assign V101587 = V729828. assign V501713 = V000306. assign V149601 = V079569. assign V699869 = V745707. assign V079569 = V802195. assign V337314 = V068820 - 1. assign V761492 = V045433 + 1. assign V503796 = V501713 - 1. assign V495513 = V396379 - 1. assign V054253 = V919584 - 1. assign V248896 = V171835 - 1. assign V158753 = V944574 - 1. assign V637202 = V483204 + 1. assign V121432 = V490021. assign V568799 = V798743 - 1. assign V774827 = V460870 - 1. assign V034200 = V255897 - 1. assign V821126 = V292803 + 1. assign V694827 = V802195 - 1. assign V700466 = V351934 + 1. assign V459578 = V169405 + 1. assign V542851 = V408419 + 1. assign V068820 = V278008 - 1. assign V022374 = V351934 - 1. assign V588344 = V326638 + 1. assign V121733 = V486357 + 1. assign V164086 = V290046 + 1. assign V721270 = V278008. assign V390825 = V568735 - 1. assign V978087 = V720180 + 1. assign V413420 = V798743. assign V449148 = V351934 + 1. assign V550415 = V122466 + 1. assign V451412 = V568799. assign V096220 = V878601 + 1. assign V302493 = V663245 - 1. assign V122466 = V486357 - 1. assign V133238 = V798743 - 1. assign V607972 = V449148. assign V039222 = V699869 + 1. assign V567741 = V406444. assign V008319 = V351934. assign V907306 = V674908. assign V972963 = V770101. assign V663245 = V054253 - 1. assign V247509 = V531475 - 1. assign V169405 = V278008 - 1. assign V172399 = V212960 - 1. assign V882837 = V060193. assign V701865 = V663245 + 1. assign V706507 = V774827 + 1. assign V275983 = V121432 + 1. assign V697532 = V577982 - 1. assign V363835 = V802195 + 1. assign V926841 = V149601 - 1. assign V434186 = V846435 - 1. assign V699099 = V568799. assign V114262 = V225427. assign V135933 = V713993 - 1. assign V652995 = V255897 + 1. assign V455407 = V486357 - 1. assign V034090 = V204643 - 1. assign V395598 = V326638 + 1. assign V045433 = V925621. assign V713993 = V614493 - 1. assign V225427 = V802195 - 1. assign V406444 = V021737. assign V577982 = V267810 - 1. assign V969077 = V540289. assign V858506 = V169405. assign V830460 = V348103 - 1. assign V168002 = V451412 - 1. assign V408419 = V802195. assign V407677 = V111559 - 1. assign V955350 = V892392 - 1. assign V576649 = V008319. assign V118446 = V068820 - 1. assign V806296 = V830460 + 1. assign V483204 = V494611 - 1. assign V494611 = V713993 - 1. assign V413054 = V576649 - 1. assign V568735 = V531475. assign V919210 = 10. assign V548712 = V108933 + 1. assign V878601 = V267810 + 1. assign V267810 = V278008 + 1. assign V674908 = V060193 + 1. assign V021737 = V068820 + 1. assign V535752 = V798743. assign V760584 = V225427. assign V283376 = V068820 + 1. assign V060193 = V292803 - 1. assign V351934 = V486357 + 1. assign V294837 = V568799 + 1. assign V490021 = V925621 - 1. assign V206712 = V275983 - 1. assign V930926 = V171835. assign V745707 = V118446 - 1. assign V665964 = V267810 - 1. assign V204643 = V172399 + 1. assign V158146 = V283376 + 1. assign V000306 = V283376 + 1. assign V980062 = V919584 - 1. assign V151574 = V745707 - 1. assign V438288 = V247509. assign V528737 = V697532 - 1. assign V802195 = V283376. assign V274004 = V830460 - 1. assign V720180 = V169405. assign V111559 = V169405 + 1. assign V326638 = V408419. assign V798743 = V278008 + 1. assign V893084 = V665964 + 1. assign V418504 = V438288 - 1. assign V917039 = V451412 + 1. assign V729828 = V121432 + 1. assign V195246 = V283376 - 1. assign V050521 = V891030. assign V335957 = V531475. assign V891030 = V699099 - 1. assign V889027 = V919584 - 1. assign V233687 = V275391 - 1. assign V396379 = V335957 + 1. assign V825888 = V022374. assign V614493 = V413420. assign V925621 = V919584. assign V259701 = V060193. assign V594189 = V919210 - 1. assign V832792 = V893084 - 1. assign V290046 = V068820. assign V202828 = V121432. assign V031944 = V034200 + 1. assign V815538 = V348103 - 1. assign V199098 = V021737 + 1. assign V305777 = V158146 + 1. assign V255897 = V169405. assign V776722 = V878601 + 1. assign V540390 = V247509 + 1. assign V502862 = V713993 - 1. assign V540289 = V713993 + 1. assign V187616 = V577982 + 1. assign V763800 = V614493 + 1. assign V194450 = V665964. assign V021495 = V665964 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV919210 = 10;\n\nFrom these direct assignment(s), we have: \nV594189 = V919210 - 1 = 10 - 1 =9;\nNo other variables can be derived from V594189;\nNo other variables can be derived from V919210;\n\nNow we have done all the calculations. Derived variables are:\nV919210 = 10;\nV594189 = 9;\n\nNow we have finished this problem. ANSWER:\nV919210\n", "role": "assistant" } ]

[ "V130147", "V275442" ]

[ { "content": "<context>\nassign V162807 = V270184. assign V461344 = V219578 + 1. assign V679049 = V912964 + 1. assign V514896 = V781045 - 1. assign V727264 = V792572. assign V368592 = V463229. assign V663806 = V473299. assign V715645 = V624184. assign V165104 = V510765 - 1. assign V604470 = V683914. assign V520458 = V218624 + 1. assign V293192 = V683914. assign V908467 = V679049. assign V684389 = V855392 + 1. assign V855392 = V734918 - 1. assign V860083 = V306008 + 1. assign V766091 = V474232 - 1. assign V146278 = V654642. assign V666617 = V165685 + 1. assign V459770 = V676158. assign V179781 = V306702. assign V711593 = V293192. assign V306008 = V781045 - 1. assign V166581 = V683914 + 1. assign V022966 = V253654 + 1. assign V637082 = V253654 + 1. assign V130147 = 1. assign V275254 = V481443 + 1. assign V740043 = V505732 + 1. assign V593084 = V423552 - 1. assign V428253 = V866464 + 1. assign V042581 = V908467 + 1. assign V350623 = V082025. assign V276887 = V654642 + 1. assign V210218 = V611128 - 1. assign V458847 = V738108 - 1. assign V787688 = V505732 - 1. assign V793408 = V792572 + 1. assign V398334 = V842604 + 1. assign V931260 = V111034. assign V452606 = V991195. assign V078346 = V762016 + 1. assign V966918 = V510765 + 1. assign V764060 = V306008. assign V992854 = V891121 + 1. assign V734918 = V747377. assign V585905 = V456881 + 1. assign V473299 = V201763 - 1. assign V086782 = V024090 + 1. assign V135438 = V201763. assign V306702 = V734918 + 1. assign V624184 = V611128 + 1. assign V842604 = V749802 + 1. assign V481443 = V792572. assign V478308 = V734918. assign V541949 = V654642 + 1. assign V063433 = V891121. assign V111034 = V505732. assign V410931 = V064783. assign V165685 = V699098. assign V454796 = V781045. assign V882132 = V505732 - 1. assign V888868 = V505732 - 1. assign V160639 = V510765. assign V024090 = V664594 + 1. assign V816152 = V166581. assign V423552 = V463229. assign V064783 = V631251 + 1. assign V611128 = V792572. assign V073094 = V585905. assign V755790 = V022966 - 1. assign V543754 = V510765. assign V567674 = V146278. assign V054667 = V683914 + 1. assign V089645 = V637082 - 1. assign V234184 = V306702 - 1. assign V749802 = V442673. assign V731820 = V902365 + 1. assign V002041 = V478308 + 1. assign V698266 = V024090 + 1. assign V082025 = V683914 + 1. assign V471778 = V611128 + 1. assign V846259 = V473299 + 1. assign V197719 = V793408 + 1. assign V149099 = V744760 - 1. assign V097164 = V219578 + 1. assign V212238 = V111034. assign V277753 = V931260. assign V594897 = V505732. assign V505732 = V738108. assign V107412 = V505732 + 1. assign V253654 = V111034 - 1. assign V866464 = V212238. assign V679043 = V855392 + 1. assign V140198 = V683914. assign V360936 = V308225 - 1. assign V962413 = V428253. assign V218624 = V683914 + 1. assign V201763 = V664594 + 1. assign V322454 = V201691 - 1. assign V456881 = V792572. assign V590370 = V749802 + 1. assign V374493 = V611128 + 1. assign V768671 = V727264 + 1. assign V709368 = V319956. assign V703543 = V624184 - 1. assign V463229 = V488738. assign V488738 = V787688. assign V201691 = V396523 - 1. assign V490891 = V160639. assign V510765 = V276887 + 1. assign V699098 = V488738. assign V676158 = V143074 + 1. assign V337101 = V679049. assign V476254 = V734918 - 1. assign V968182 = V505732. assign V368006 = V463229 - 1. assign V476127 = V162807 - 1. assign V319956 = V107412 + 1. assign V305436 = V473299. assign V275442 = V130147. assign V810646 = V374493. assign V270184 = V146278 + 1. assign V041647 = V962413 - 1. assign V889573 = V611128. assign V781045 = V456881. assign V890199 = V793408. assign V683914 = V740043. assign V327849 = V699098 - 1. assign V125495 = V666617 + 1. assign V143074 = V816152 - 1. assign V521686 = V664594. assign V744760 = V474232 - 1. assign V557600 = V634788 + 1. assign V282946 = V540588 - 1. assign V912964 = V097164 - 1. assign V787203 = V882132 + 1. assign V224346 = V078346 - 1. assign V442673 = V747377 + 1. assign V526282 = V396523. assign V664594 = V458847 - 1. assign V762016 = V992854 - 1. assign V540588 = V902365 + 1. assign V934080 = V219578 + 1. assign V654642 = V792572 - 1. assign V374372 = V666617. assign V798323 = V474232 - 1. assign V396523 = V793408. assign V929563 = V201691 - 1. assign V056899 = V374493 + 1. assign V684341 = V063433. assign V891121 = V146278. assign V057871 = V541949. assign V634788 = V747377. assign V874617 = V585905 - 1. assign V631251 = V505732 + 1. assign V902365 = V473299 + 1. assign V088303 = V768671. assign V436111 = V336699 + 1. assign V738108 = V792572 + 1. assign V336699 = V732767. assign V806480 = V968182. assign V732767 = V747377. assign V657770 = V740043 + 1. assign V122448 = V749802 + 1. assign V422249 = V428253 - 1. assign V219578 = V505732. assign V308225 = V219578 - 1. assign V991195 = V657770 + 1. assign V747377 = V792572 + 1. assign V474232 = V056899 - 1. assign V198564 = V473299.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V162807 = V270184. assign V461344 = V219578 + 1. assign V679049 = V912964 + 1. assign V514896 = V781045 - 1. assign V727264 = V792572. assign V368592 = V463229. assign V663806 = V473299. assign V715645 = V624184. assign V165104 = V510765 - 1. assign V604470 = V683914. assign V520458 = V218624 + 1. assign V293192 = V683914. assign V908467 = V679049. assign V684389 = V855392 + 1. assign V855392 = V734918 - 1. assign V860083 = V306008 + 1. assign V766091 = V474232 - 1. assign V146278 = V654642. assign V666617 = V165685 + 1. assign V459770 = V676158. assign V179781 = V306702. assign V711593 = V293192. assign V306008 = V781045 - 1. assign V166581 = V683914 + 1. assign V022966 = V253654 + 1. assign V637082 = V253654 + 1. assign V130147 = 1. assign V275254 = V481443 + 1. assign V740043 = V505732 + 1. assign V593084 = V423552 - 1. assign V428253 = V866464 + 1. assign V042581 = V908467 + 1. assign V350623 = V082025. assign V276887 = V654642 + 1. assign V210218 = V611128 - 1. assign V458847 = V738108 - 1. assign V787688 = V505732 - 1. assign V793408 = V792572 + 1. assign V398334 = V842604 + 1. assign V931260 = V111034. assign V452606 = V991195. assign V078346 = V762016 + 1. assign V966918 = V510765 + 1. assign V764060 = V306008. assign V992854 = V891121 + 1. assign V734918 = V747377. assign V585905 = V456881 + 1. assign V473299 = V201763 - 1. assign V086782 = V024090 + 1. assign V135438 = V201763. assign V306702 = V734918 + 1. assign V624184 = V611128 + 1. assign V842604 = V749802 + 1. assign V481443 = V792572. assign V478308 = V734918. assign V541949 = V654642 + 1. assign V063433 = V891121. assign V111034 = V505732. assign V410931 = V064783. assign V165685 = V699098. assign V454796 = V781045. assign V882132 = V505732 - 1. assign V888868 = V505732 - 1. assign V160639 = V510765. assign V024090 = V664594 + 1. assign V816152 = V166581. assign V423552 = V463229. assign V064783 = V631251 + 1. assign V611128 = V792572. assign V073094 = V585905. assign V755790 = V022966 - 1. assign V543754 = V510765. assign V567674 = V146278. assign V054667 = V683914 + 1. assign V089645 = V637082 - 1. assign V234184 = V306702 - 1. assign V749802 = V442673. assign V731820 = V902365 + 1. assign V002041 = V478308 + 1. assign V698266 = V024090 + 1. assign V082025 = V683914 + 1. assign V471778 = V611128 + 1. assign V846259 = V473299 + 1. assign V197719 = V793408 + 1. assign V149099 = V744760 - 1. assign V097164 = V219578 + 1. assign V212238 = V111034. assign V277753 = V931260. assign V594897 = V505732. assign V505732 = V738108. assign V107412 = V505732 + 1. assign V253654 = V111034 - 1. assign V866464 = V212238. assign V679043 = V855392 + 1. assign V140198 = V683914. assign V360936 = V308225 - 1. assign V962413 = V428253. assign V218624 = V683914 + 1. assign V201763 = V664594 + 1. assign V322454 = V201691 - 1. assign V456881 = V792572. assign V590370 = V749802 + 1. assign V374493 = V611128 + 1. assign V768671 = V727264 + 1. assign V709368 = V319956. assign V703543 = V624184 - 1. assign V463229 = V488738. assign V488738 = V787688. assign V201691 = V396523 - 1. assign V490891 = V160639. assign V510765 = V276887 + 1. assign V699098 = V488738. assign V676158 = V143074 + 1. assign V337101 = V679049. assign V476254 = V734918 - 1. assign V968182 = V505732. assign V368006 = V463229 - 1. assign V476127 = V162807 - 1. assign V319956 = V107412 + 1. assign V305436 = V473299. assign V275442 = V130147. assign V810646 = V374493. assign V270184 = V146278 + 1. assign V041647 = V962413 - 1. assign V889573 = V611128. assign V781045 = V456881. assign V890199 = V793408. assign V683914 = V740043. assign V327849 = V699098 - 1. assign V125495 = V666617 + 1. assign V143074 = V816152 - 1. assign V521686 = V664594. assign V744760 = V474232 - 1. assign V557600 = V634788 + 1. assign V282946 = V540588 - 1. assign V912964 = V097164 - 1. assign V787203 = V882132 + 1. assign V224346 = V078346 - 1. assign V442673 = V747377 + 1. assign V526282 = V396523. assign V664594 = V458847 - 1. assign V762016 = V992854 - 1. assign V540588 = V902365 + 1. assign V934080 = V219578 + 1. assign V654642 = V792572 - 1. assign V374372 = V666617. assign V798323 = V474232 - 1. assign V396523 = V793408. assign V929563 = V201691 - 1. assign V056899 = V374493 + 1. assign V684341 = V063433. assign V891121 = V146278. assign V057871 = V541949. assign V634788 = V747377. assign V874617 = V585905 - 1. assign V631251 = V505732 + 1. assign V902365 = V473299 + 1. assign V088303 = V768671. assign V436111 = V336699 + 1. assign V738108 = V792572 + 1. assign V336699 = V732767. assign V806480 = V968182. assign V732767 = V747377. assign V657770 = V740043 + 1. assign V122448 = V749802 + 1. assign V422249 = V428253 - 1. assign V219578 = V505732. assign V308225 = V219578 - 1. assign V991195 = V657770 + 1. assign V747377 = V792572 + 1. assign V474232 = V056899 - 1. assign V198564 = V473299.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV130147 = 1;\n\nFrom these direct assignment(s), we have: \nV275442 = V130147 = 1;\nNo other variables can be derived from V275442;\nNo other variables can be derived from V130147;\n\nNow we have done all the calculations. Derived variables are:\nV130147 = 1;\nV275442 = 1;\n\nNow we have finished this problem. ANSWER:\nV130147, V275442\n", "role": "assistant" } ]

[ "V965488" ]

[ { "content": "<context>\nassign V031669 = V183494 + 1. assign V454590 = V781924 - 1. assign V922902 = V698488 - 1. assign V038960 = V045933 - 1. assign V387350 = V681781 + 1. assign V727951 = V567698 - 1. assign V474727 = V387350 - 1. assign V293997 = V410018 - 1. assign V855523 = V570279 + 1. assign V000766 = V707263 + 1. assign V794623 = V899501 + 1. assign V890856 = V235147 + 1. assign V791149 = V219075. assign V846801 = V303460. assign V584668 = V303460 - 1. assign V526413 = V487828 - 1. assign V707263 = V408363 + 1. assign V955590 = V427121 - 1. assign V142286 = V526413 - 1. assign V781924 = V219075 + 1. assign V380231 = V045933 + 1. assign V394984 = V904236 + 1. assign V840048 = V872586 + 1. assign V006227 = V899501 - 1. assign V630984 = V759144 + 1. assign V365021 = V979036. assign V027710 = V168638. assign V852557 = V314037 + 1. assign V468150 = V044015 - 1. assign V820162 = V904236 + 1. assign V187514 = V899501. assign V208842 = V297905 - 1. assign V188804 = V505118. assign V224554 = V168638 - 1. assign V114958 = V297905 + 1. assign V145561 = V011908 + 1. assign V844570 = V990600. assign V570279 = V806918. assign V150012 = V408363 + 1. assign V652075 = V899501 + 1. assign V903493 = V006227 + 1. assign V361691 = V968619 + 1. assign V989829 = V166806. assign V156022 = V570279 + 1. assign V968619 = V899501 + 1. assign V567698 = V526413 - 1. assign V759144 = V114958. assign V491590 = V899501 - 1. assign V192965 = V143726. assign V990600 = V046123 - 1. assign V552152 = V046916 - 1. assign V304743 = V471719 + 1. assign V217372 = V899501 + 1. assign V626962 = V570279 - 1. assign V698488 = V990370 - 1. assign V322157 = V526413 + 1. assign V710800 = V340770 + 1. assign V046916 = V183494. assign V932016 = V481683 - 1. assign V703918 = V932016 - 1. assign V341555 = V188804. assign V168638 = V899501. assign V143726 = V006227 - 1. assign V645710 = V557932 + 1. assign V360432 = V904236. assign V173854 = V681781 - 1. assign V059847 = V591563. assign V755510 = V387350. assign V855663 = V476344 - 1. assign V013731 = V187514 - 1. assign V979036 = V698488 - 1. assign V471719 = V808741 - 1. assign V128922 = V487828. assign V784855 = V208842 + 1. assign V854406 = V013999 + 1. assign V297905 = V142286 - 1. assign V889075 = V419246 + 1. assign V834476 = V427702. assign V780414 = V591563 + 1. assign V147504 = V780414. assign V899501 = V726627. assign V383277 = V505118. assign V830907 = V707263 - 1. assign V130958 = V950522. assign V950522 = V567698 + 1. assign V808741 = V526413. assign V209493 = V979036 + 1. assign V904236 = V142286 + 1. assign V183494 = V387350 + 1. assign V975312 = V038960. assign V647525 = V903493 + 1. assign V050802 = V006227 - 1. assign V011908 = V142286. assign V900012 = V000766 - 1. assign V297145 = V188804. assign V135853 = V759144 + 1. assign V591563 = V045933. assign V672425 = V755455 - 1. assign V965488 = V282175 + 1. assign V070251 = V791149 - 1. assign V765406 = V168638 - 1. assign V449822 = V095681. assign V725709 = V990370. assign V842195 = V266652 - 1. assign V095681 = V990370 + 1. assign V387214 = V806918 + 1. assign V726627 = V142286. assign V355357 = V505118 - 1. assign V363343 = V156022 + 1. assign V046123 = V316506 + 1. assign V393273 = V806918 - 1. assign V872586 = V681781 - 1. assign V314037 = V526413. assign V557932 = V806918 + 1. assign V470136 = V387350. assign V224325 = V304743 + 1. assign V013999 = V000766. assign V266652 = V219075 + 1. assign V212762 = V900012. assign V278071 = V308410. assign V753343 = V647525 - 1. assign V376425 = V528774. assign V473267 = V114958 + 1. assign V902905 = V806918 - 1. assign V275221 = V297905 + 1. assign V045933 = V142286 + 1. assign V235147 = V212762. assign V300367 = V710800 + 1. assign V408363 = V297905 + 1. assign V681781 = V128922 + 1. assign V427702 = V142286 - 1. assign V282175 = 3. assign V973633 = V872586. assign V702725 = V528774. assign V461785 = V794623 - 1. assign V481683 = V725709 - 1. assign V755455 = V208842 + 1. assign V219075 = V045933. assign V086983 = V130958. assign V366275 = V219075 + 1. assign V744665 = V142286 - 1. assign V528774 = V419246. assign V461615 = V150012 - 1. assign V914123 = V044015 - 1. assign V427121 = V147504. assign V828066 = V163808. assign V990370 = V408363 + 1. assign V191873 = V114958. assign V639846 = V904236. assign V419246 = V427702. assign V842036 = V360432. assign V245481 = V275221 - 1. assign V783197 = V570279. assign V600738 = V408363 + 1. assign V044015 = V046123 - 1. assign V649565 = V528774 + 1. assign V163808 = V128922 + 1. assign V807658 = V890856 + 1. assign V815668 = V681781. assign V233640 = V095681. assign V549623 = V128922 - 1. assign V410018 = V000766 - 1. assign V308410 = V652075. assign V316506 = V808741 + 1. assign V166806 = V702725 - 1. assign V505118 = V361691. assign V928709 = V410018 - 1. assign V476344 = V903493 - 1. assign V303460 = V820162. assign V704473 = V744665. assign V806918 = V128922 + 1. assign V340770 = V387214.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V031669 = V183494 + 1. assign V454590 = V781924 - 1. assign V922902 = V698488 - 1. assign V038960 = V045933 - 1. assign V387350 = V681781 + 1. assign V727951 = V567698 - 1. assign V474727 = V387350 - 1. assign V293997 = V410018 - 1. assign V855523 = V570279 + 1. assign V000766 = V707263 + 1. assign V794623 = V899501 + 1. assign V890856 = V235147 + 1. assign V791149 = V219075. assign V846801 = V303460. assign V584668 = V303460 - 1. assign V526413 = V487828 - 1. assign V707263 = V408363 + 1. assign V955590 = V427121 - 1. assign V142286 = V526413 - 1. assign V781924 = V219075 + 1. assign V380231 = V045933 + 1. assign V394984 = V904236 + 1. assign V840048 = V872586 + 1. assign V006227 = V899501 - 1. assign V630984 = V759144 + 1. assign V365021 = V979036. assign V027710 = V168638. assign V852557 = V314037 + 1. assign V468150 = V044015 - 1. assign V820162 = V904236 + 1. assign V187514 = V899501. assign V208842 = V297905 - 1. assign V188804 = V505118. assign V224554 = V168638 - 1. assign V114958 = V297905 + 1. assign V145561 = V011908 + 1. assign V844570 = V990600. assign V570279 = V806918. assign V150012 = V408363 + 1. assign V652075 = V899501 + 1. assign V903493 = V006227 + 1. assign V361691 = V968619 + 1. assign V989829 = V166806. assign V156022 = V570279 + 1. assign V968619 = V899501 + 1. assign V567698 = V526413 - 1. assign V759144 = V114958. assign V491590 = V899501 - 1. assign V192965 = V143726. assign V990600 = V046123 - 1. assign V552152 = V046916 - 1. assign V304743 = V471719 + 1. assign V217372 = V899501 + 1. assign V626962 = V570279 - 1. assign V698488 = V990370 - 1. assign V322157 = V526413 + 1. assign V710800 = V340770 + 1. assign V046916 = V183494. assign V932016 = V481683 - 1. assign V703918 = V932016 - 1. assign V341555 = V188804. assign V168638 = V899501. assign V143726 = V006227 - 1. assign V645710 = V557932 + 1. assign V360432 = V904236. assign V173854 = V681781 - 1. assign V059847 = V591563. assign V755510 = V387350. assign V855663 = V476344 - 1. assign V013731 = V187514 - 1. assign V979036 = V698488 - 1. assign V471719 = V808741 - 1. assign V128922 = V487828. assign V784855 = V208842 + 1. assign V854406 = V013999 + 1. assign V297905 = V142286 - 1. assign V889075 = V419246 + 1. assign V834476 = V427702. assign V780414 = V591563 + 1. assign V147504 = V780414. assign V899501 = V726627. assign V383277 = V505118. assign V830907 = V707263 - 1. assign V130958 = V950522. assign V950522 = V567698 + 1. assign V808741 = V526413. assign V209493 = V979036 + 1. assign V904236 = V142286 + 1. assign V183494 = V387350 + 1. assign V975312 = V038960. assign V647525 = V903493 + 1. assign V050802 = V006227 - 1. assign V011908 = V142286. assign V900012 = V000766 - 1. assign V297145 = V188804. assign V135853 = V759144 + 1. assign V591563 = V045933. assign V672425 = V755455 - 1. assign V965488 = V282175 + 1. assign V070251 = V791149 - 1. assign V765406 = V168638 - 1. assign V449822 = V095681. assign V725709 = V990370. assign V842195 = V266652 - 1. assign V095681 = V990370 + 1. assign V387214 = V806918 + 1. assign V726627 = V142286. assign V355357 = V505118 - 1. assign V363343 = V156022 + 1. assign V046123 = V316506 + 1. assign V393273 = V806918 - 1. assign V872586 = V681781 - 1. assign V314037 = V526413. assign V557932 = V806918 + 1. assign V470136 = V387350. assign V224325 = V304743 + 1. assign V013999 = V000766. assign V266652 = V219075 + 1. assign V212762 = V900012. assign V278071 = V308410. assign V753343 = V647525 - 1. assign V376425 = V528774. assign V473267 = V114958 + 1. assign V902905 = V806918 - 1. assign V275221 = V297905 + 1. assign V045933 = V142286 + 1. assign V235147 = V212762. assign V300367 = V710800 + 1. assign V408363 = V297905 + 1. assign V681781 = V128922 + 1. assign V427702 = V142286 - 1. assign V282175 = 3. assign V973633 = V872586. assign V702725 = V528774. assign V461785 = V794623 - 1. assign V481683 = V725709 - 1. assign V755455 = V208842 + 1. assign V219075 = V045933. assign V086983 = V130958. assign V366275 = V219075 + 1. assign V744665 = V142286 - 1. assign V528774 = V419246. assign V461615 = V150012 - 1. assign V914123 = V044015 - 1. assign V427121 = V147504. assign V828066 = V163808. assign V990370 = V408363 + 1. assign V191873 = V114958. assign V639846 = V904236. assign V419246 = V427702. assign V842036 = V360432. assign V245481 = V275221 - 1. assign V783197 = V570279. assign V600738 = V408363 + 1. assign V044015 = V046123 - 1. assign V649565 = V528774 + 1. assign V163808 = V128922 + 1. assign V807658 = V890856 + 1. assign V815668 = V681781. assign V233640 = V095681. assign V549623 = V128922 - 1. assign V410018 = V000766 - 1. assign V308410 = V652075. assign V316506 = V808741 + 1. assign V166806 = V702725 - 1. assign V505118 = V361691. assign V928709 = V410018 - 1. assign V476344 = V903493 - 1. assign V303460 = V820162. assign V704473 = V744665. assign V806918 = V128922 + 1. assign V340770 = V387214.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV282175 = 3;\n\nFrom these direct assignment(s), we have: \nV965488 = V282175 + 1 = 3 + 1 =4;\nNo other variables can be derived from V965488;\nNo other variables can be derived from V282175;\n\nNow we have done all the calculations. Derived variables are:\nV282175 = 3;\nV965488 = 4;\n\nNow we have finished this problem. ANSWER:\nV965488\n", "role": "assistant" } ]

[ "V883039", "V596712" ]

[ { "content": "<context>\nassign V380767 = V705207. assign V018162 = V076975 + 1. assign V519935 = V181457. assign V151635 = V786537 + 1. assign V386981 = V179945. assign V516031 = V948075 + 1. assign V950797 = V322274 - 1. assign V503475 = V069005 - 1. assign V725462 = V742949. assign V255174 = V584759 + 1. assign V999920 = V217574 + 1. assign V709906 = V165113. assign V649759 = V549444. assign V737296 = V993578 - 1. assign V497655 = V765986. assign V094222 = V151635 - 1. assign V452293 = V630436 + 1. assign V193821 = V733711 + 1. assign V489280 = V737296. assign V448554 = V733711 + 1. assign V732866 = V428977. assign V115237 = V181457. assign V161710 = V587201. assign V573675 = V749740 - 1. assign V695710 = V179945 + 1. assign V844346 = V141571. assign V069005 = V162324 - 1. assign V272244 = V732866 + 1. assign V982501 = V069005 + 1. assign V021478 = V009694 + 1. assign V069404 = V364168. assign V607104 = V179945. assign V068468 = V733711 - 1. assign V950934 = V999920 - 1. assign V798080 = V649759 + 1. assign V742949 = V733711. assign V460185 = V160859 + 1. assign V021001 = V519935 + 1. assign V005430 = V695710 + 1. assign V777256 = V835726. assign V702597 = V897971 - 1. assign V025930 = V082378 + 1. assign V325404 = V070758. assign V561667 = V325553. assign V461362 = V448554. assign V376310 = V025930 + 1. assign V319615 = V530628. assign V948075 = V447949 - 1. assign V098064 = V555145 - 1. assign V786537 = V658682 + 1. assign V082459 = V475116. assign V112837 = V530628 + 1. assign V828008 = V954088. assign V160859 = V133528 - 1. assign V549444 = V443010 - 1. assign V803081 = V882307 + 1. assign V935688 = V596900. assign V009694 = V327121. assign V974008 = V233024 - 1. assign V497155 = V897776 + 1. assign V029056 = V069404. assign V822476 = V018162 + 1. assign V897776 = V199064 - 1. assign V338389 = V120182 - 1. assign V359327 = V070758 + 1. assign V410383 = V607104 + 1. assign V584759 = V179945 + 1. assign V555145 = V519935 - 1. assign V993578 = V255174 - 1. assign V242161 = V151635 + 1. assign V610200 = V255174 - 1. assign V884751 = V749740 - 1. assign V076975 = V584759 + 1. assign V308427 = V285484. assign V849113 = V725462 - 1. assign V028091 = V181457 + 1. assign V462053 = V778021. assign V819658 = V476502. assign V702231 = V854773. assign V652477 = V497155 - 1. assign V332485 = V121627 - 1. assign V530628 = V333931. assign V571690 = V908591. assign V596900 = V181457 + 1. assign V956203 = V658682 - 1. assign V857848 = V619949. assign V244135 = V112837 + 1. assign V132327 = V428977 - 1. assign V017953 = V786537 + 1. assign V877048 = V115237 - 1. assign V205367 = V193821 - 1. assign V165113 = V443010. assign V705751 = V897971 + 1. assign V839354 = V695710. assign V428977 = V778021 - 1. assign V133528 = V476502 - 1. assign V476502 = V333931. assign V187763 = V162324. assign V325553 = V327121 + 1. assign V199064 = V897971 - 1. assign V082378 = V596900 + 1. assign V179945 = V028091. assign V233024 = V950797 - 1. assign V012967 = V181457 + 1. assign V619949 = V993578 + 1. assign V162324 = V112837 + 1. assign V954088 = V333931 - 1. assign V070758 = V028091 + 1. assign V322274 = V028091 - 1. assign V681937 = V217574 - 1. assign V275098 = V161710. assign V882307 = V112837 + 1. assign V332251 = V009694. assign V237268 = V596900. assign V651228 = V012967. assign V733711 = V702597. assign V333931 = V733711 - 1. assign V299245 = V725462 - 1. assign V456447 = V181457 - 1. assign V611817 = V884751 - 1. assign V860771 = V217574 - 1. assign V259639 = V447949. assign V054089 = V025930. assign V198423 = V702597. assign V788150 = V475116. assign V121627 = V803081 - 1. assign V327121 = V725462. assign V840764 = V574141 - 1. assign V217574 = V658682 - 1. assign V835726 = V897971 - 1. assign V834780 = V327121 + 1. assign V587201 = V705751 - 1. assign V087232 = V151635 + 1. assign V329224 = V068468 + 1. assign V965186 = V375084. assign V778021 = V179945 - 1. assign V705207 = V822476 - 1. assign V443010 = V733711 - 1. assign V440721 = V475116. assign V493788 = V857848. assign V596712 = V883039. assign V883039 = 7. assign V566913 = V607104 - 1. assign V181457 = V702597 + 1. assign V559072 = V658682 - 1. assign V630436 = V884751. assign V120182 = V733711 - 1. assign V642512 = V956203 - 1. assign V927796 = V658682 - 1. assign V475116 = V705751 + 1. assign V364168 = V786537. assign V870060 = V327121 + 1. assign V120877 = V193821 - 1. assign V574141 = V285484. assign V854773 = V975113. assign V765986 = V162324 - 1. assign V141571 = V198423. assign V341942 = V217574. assign V975113 = V025930 + 1. assign V672904 = V198423. assign V285484 = V849113 + 1. assign V989940 = V199064 - 1. assign V150482 = V587201 - 1. assign V313028 = V068468 + 1. assign V658682 = V897971. assign V447949 = V375084 - 1. assign V749740 = V440721 - 1. assign V096481 = V733711. assign V375084 = V725462 - 1. assign V908591 = V440721. assign V137329 = V877048. assign V580692 = V975113 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V380767 = V705207. assign V018162 = V076975 + 1. assign V519935 = V181457. assign V151635 = V786537 + 1. assign V386981 = V179945. assign V516031 = V948075 + 1. assign V950797 = V322274 - 1. assign V503475 = V069005 - 1. assign V725462 = V742949. assign V255174 = V584759 + 1. assign V999920 = V217574 + 1. assign V709906 = V165113. assign V649759 = V549444. assign V737296 = V993578 - 1. assign V497655 = V765986. assign V094222 = V151635 - 1. assign V452293 = V630436 + 1. assign V193821 = V733711 + 1. assign V489280 = V737296. assign V448554 = V733711 + 1. assign V732866 = V428977. assign V115237 = V181457. assign V161710 = V587201. assign V573675 = V749740 - 1. assign V695710 = V179945 + 1. assign V844346 = V141571. assign V069005 = V162324 - 1. assign V272244 = V732866 + 1. assign V982501 = V069005 + 1. assign V021478 = V009694 + 1. assign V069404 = V364168. assign V607104 = V179945. assign V068468 = V733711 - 1. assign V950934 = V999920 - 1. assign V798080 = V649759 + 1. assign V742949 = V733711. assign V460185 = V160859 + 1. assign V021001 = V519935 + 1. assign V005430 = V695710 + 1. assign V777256 = V835726. assign V702597 = V897971 - 1. assign V025930 = V082378 + 1. assign V325404 = V070758. assign V561667 = V325553. assign V461362 = V448554. assign V376310 = V025930 + 1. assign V319615 = V530628. assign V948075 = V447949 - 1. assign V098064 = V555145 - 1. assign V786537 = V658682 + 1. assign V082459 = V475116. assign V112837 = V530628 + 1. assign V828008 = V954088. assign V160859 = V133528 - 1. assign V549444 = V443010 - 1. assign V803081 = V882307 + 1. assign V935688 = V596900. assign V009694 = V327121. assign V974008 = V233024 - 1. assign V497155 = V897776 + 1. assign V029056 = V069404. assign V822476 = V018162 + 1. assign V897776 = V199064 - 1. assign V338389 = V120182 - 1. assign V359327 = V070758 + 1. assign V410383 = V607104 + 1. assign V584759 = V179945 + 1. assign V555145 = V519935 - 1. assign V993578 = V255174 - 1. assign V242161 = V151635 + 1. assign V610200 = V255174 - 1. assign V884751 = V749740 - 1. assign V076975 = V584759 + 1. assign V308427 = V285484. assign V849113 = V725462 - 1. assign V028091 = V181457 + 1. assign V462053 = V778021. assign V819658 = V476502. assign V702231 = V854773. assign V652477 = V497155 - 1. assign V332485 = V121627 - 1. assign V530628 = V333931. assign V571690 = V908591. assign V596900 = V181457 + 1. assign V956203 = V658682 - 1. assign V857848 = V619949. assign V244135 = V112837 + 1. assign V132327 = V428977 - 1. assign V017953 = V786537 + 1. assign V877048 = V115237 - 1. assign V205367 = V193821 - 1. assign V165113 = V443010. assign V705751 = V897971 + 1. assign V839354 = V695710. assign V428977 = V778021 - 1. assign V133528 = V476502 - 1. assign V476502 = V333931. assign V187763 = V162324. assign V325553 = V327121 + 1. assign V199064 = V897971 - 1. assign V082378 = V596900 + 1. assign V179945 = V028091. assign V233024 = V950797 - 1. assign V012967 = V181457 + 1. assign V619949 = V993578 + 1. assign V162324 = V112837 + 1. assign V954088 = V333931 - 1. assign V070758 = V028091 + 1. assign V322274 = V028091 - 1. assign V681937 = V217574 - 1. assign V275098 = V161710. assign V882307 = V112837 + 1. assign V332251 = V009694. assign V237268 = V596900. assign V651228 = V012967. assign V733711 = V702597. assign V333931 = V733711 - 1. assign V299245 = V725462 - 1. assign V456447 = V181457 - 1. assign V611817 = V884751 - 1. assign V860771 = V217574 - 1. assign V259639 = V447949. assign V054089 = V025930. assign V198423 = V702597. assign V788150 = V475116. assign V121627 = V803081 - 1. assign V327121 = V725462. assign V840764 = V574141 - 1. assign V217574 = V658682 - 1. assign V835726 = V897971 - 1. assign V834780 = V327121 + 1. assign V587201 = V705751 - 1. assign V087232 = V151635 + 1. assign V329224 = V068468 + 1. assign V965186 = V375084. assign V778021 = V179945 - 1. assign V705207 = V822476 - 1. assign V443010 = V733711 - 1. assign V440721 = V475116. assign V493788 = V857848. assign V596712 = V883039. assign V883039 = 7. assign V566913 = V607104 - 1. assign V181457 = V702597 + 1. assign V559072 = V658682 - 1. assign V630436 = V884751. assign V120182 = V733711 - 1. assign V642512 = V956203 - 1. assign V927796 = V658682 - 1. assign V475116 = V705751 + 1. assign V364168 = V786537. assign V870060 = V327121 + 1. assign V120877 = V193821 - 1. assign V574141 = V285484. assign V854773 = V975113. assign V765986 = V162324 - 1. assign V141571 = V198423. assign V341942 = V217574. assign V975113 = V025930 + 1. assign V672904 = V198423. assign V285484 = V849113 + 1. assign V989940 = V199064 - 1. assign V150482 = V587201 - 1. assign V313028 = V068468 + 1. assign V658682 = V897971. assign V447949 = V375084 - 1. assign V749740 = V440721 - 1. assign V096481 = V733711. assign V375084 = V725462 - 1. assign V908591 = V440721. assign V137329 = V877048. assign V580692 = V975113 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV883039 = 7;\n\nFrom these direct assignment(s), we have: \nV596712 = V883039 = 7;\nNo other variables can be derived from V596712;\nNo other variables can be derived from V883039;\n\nNow we have done all the calculations. Derived variables are:\nV883039 = 7;\nV596712 = 7;\n\nNow we have finished this problem. ANSWER:\nV883039, V596712\n", "role": "assistant" } ]

[ "V025391", "V386019" ]

[ { "content": "<context>\nassign V799452 = V891021 - 1. assign V487508 = V922827. assign V515651 = V668301. assign V176156 = V636009 - 1. assign V010469 = V717512. assign V121179 = V782544 - 1. assign V562792 = V483086 - 1. assign V217328 = V487868. assign V057955 = V768682. assign V357238 = V819516 - 1. assign V057080 = V167879 + 1. assign V717512 = V589311. assign V033551 = V026805 - 1. assign V025391 = 3. assign V584411 = V405576 - 1. assign V589311 = V671001 + 1. assign V450826 = V065052 - 1. assign V514851 = V392311 - 1. assign V241523 = V916962 + 1. assign V826325 = V717512 + 1. assign V536948 = V551894 - 1. assign V463276 = V886871 + 1. assign V627706 = V406917 + 1. assign V636009 = V515651 + 1. assign V049454 = V057080 - 1. assign V175932 = V026805. assign V938691 = V369779 - 1. assign V331860 = V811204 + 1. assign V375637 = V255710. assign V298978 = V406917 - 1. assign V054293 = V636915. assign V996892 = V602516 - 1. assign V484007 = V066085 - 1. assign V506228 = V080360 + 1. assign V782544 = V668301 - 1. assign V361824 = V439909 + 1. assign V720049 = V821045 + 1. assign V386019 = V025391. assign V547319 = V830786 + 1. assign V651519 = V241523 + 1. assign V580023 = V239710. assign V948367 = V435838 - 1. assign V734453 = V742839. assign V463085 = V506228 + 1. assign V973434 = V057080 - 1. assign V942964 = V602516 + 1. assign V408768 = V202825 + 1. assign V947571 = V202825 + 1. assign V551894 = V830786 - 1. assign V807348 = V907778 + 1. assign V405576 = V423477 - 1. assign V957640 = V526243 + 1. assign V754366 = V709616. assign V614017 = V065052. assign V742839 = V843035 + 1. assign V322093 = V941610. assign V487868 = V597633. assign V406917 = V487868. assign V361701 = V883304 + 1. assign V365351 = V819339 - 1. assign V392311 = V951750 + 1. assign V544567 = V536948. assign V752922 = V389163. assign V255710 = V325576. assign V202825 = V951750. assign V991410 = V154847. assign V922827 = V392311 - 1. assign V327774 = V435838. assign V821045 = V057080 + 1. assign V353501 = V405576. assign V207964 = V671001. assign V134111 = V551894. assign V709616 = V811204. assign V050828 = V916962 - 1. assign V794653 = V389026 - 1. assign V966370 = V768682 - 1. assign V941610 = V427145 + 1. assign V486356 = V487868. assign V003452 = V928459. assign V174869 = V427145 + 1. assign V369779 = V486356 + 1. assign V891021 = V405576 - 1. assign V237264 = V241523. assign V081877 = V033551 + 1. assign V194918 = V406917 - 1. assign V055817 = V049454 + 1. assign V427145 = V389163 - 1. assign V065052 = V997423 + 1. assign V371572 = V057080 + 1. assign V883304 = V408768 + 1. assign V066085 = V154847 + 1. assign V271005 = V720049 + 1. assign V171929 = V389026 + 1. assign V928459 = V167879. assign V526243 = V799309 + 1. assign V084657 = V174869 - 1. assign V439909 = V668301. assign V085878 = V365351 - 1. assign V717516 = V167879. assign V679049 = V239347. assign V247696 = V167879 + 1. assign V113738 = V973434 - 1. assign V830786 = V241523 - 1. assign V376055 = V597633 - 1. assign V254490 = V811204 + 1. assign V869560 = V551894 + 1. assign V602516 = V389163 + 1. assign V811204 = V325576 - 1. assign V767187 = V049454 - 1. assign V781297 = V055817. assign V308826 = V862888 - 1. assign V819339 = V483086 - 1. assign V886871 = V016434 + 1. assign V671001 = V487868 + 1. assign V636915 = V049454. assign V239347 = V717516 - 1. assign V080360 = V993571 + 1. assign V324199 = V057955. assign V272959 = V500263 - 1. assign V758630 = V720049 - 1. assign V889713 = V886871. assign V016434 = V799309. assign V477495 = V752922. assign V819516 = V065052. assign V699209 = V486356. assign V948258 = V066085 - 1. assign V026805 = V951750 + 1. assign V322280 = V768682 - 1. assign V668301 = V830786 + 1. assign V339164 = V361824 + 1. assign V500263 = V951750 - 1. assign V073082 = V065052 - 1. assign V997423 = V916962. assign V193498 = V016434 - 1. assign V963160 = V487868. assign V167879 = V799309 + 1. assign V364740 = V799309 - 1. assign V630139 = V353501. assign V540820 = V597633 + 1. assign V429242 = V515651 + 1. assign V322220 = V435838. assign V260622 = V487508 - 1. assign V879681 = V536948. assign V063968 = V589311 + 1. assign V843035 = V175932 - 1. assign V618422 = V966370. assign V483086 = V717516 + 1. assign V260132 = V580023 - 1. assign V993571 = V167879 - 1. assign V820868 = V298978 - 1. assign V423477 = V167879 + 1. assign V355984 = V389026 + 1. assign V422636 = V322280. assign V768682 = V597633 + 1. assign V597633 = V167879 - 1. assign V799309 = V916962. assign V776225 = V807348 - 1. assign V862888 = V408768 + 1. assign V268632 = V057955 + 1. assign V525366 = V807348 + 1. assign V907778 = V389163. assign V951750 = V997423 - 1. assign V239710 = V389163 - 1. assign V944917 = V057080 - 1. assign V531465 = V636915 - 1. assign V154847 = V916962 + 1. assign V277582 = V951750 - 1. assign V435838 = V536948 + 1. assign V389026 = V862888. assign V325576 = V515651 - 1. assign V051090 = V922827 - 1. assign V389163 = V830786.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V799452 = V891021 - 1. assign V487508 = V922827. assign V515651 = V668301. assign V176156 = V636009 - 1. assign V010469 = V717512. assign V121179 = V782544 - 1. assign V562792 = V483086 - 1. assign V217328 = V487868. assign V057955 = V768682. assign V357238 = V819516 - 1. assign V057080 = V167879 + 1. assign V717512 = V589311. assign V033551 = V026805 - 1. assign V025391 = 3. assign V584411 = V405576 - 1. assign V589311 = V671001 + 1. assign V450826 = V065052 - 1. assign V514851 = V392311 - 1. assign V241523 = V916962 + 1. assign V826325 = V717512 + 1. assign V536948 = V551894 - 1. assign V463276 = V886871 + 1. assign V627706 = V406917 + 1. assign V636009 = V515651 + 1. assign V049454 = V057080 - 1. assign V175932 = V026805. assign V938691 = V369779 - 1. assign V331860 = V811204 + 1. assign V375637 = V255710. assign V298978 = V406917 - 1. assign V054293 = V636915. assign V996892 = V602516 - 1. assign V484007 = V066085 - 1. assign V506228 = V080360 + 1. assign V782544 = V668301 - 1. assign V361824 = V439909 + 1. assign V720049 = V821045 + 1. assign V386019 = V025391. assign V547319 = V830786 + 1. assign V651519 = V241523 + 1. assign V580023 = V239710. assign V948367 = V435838 - 1. assign V734453 = V742839. assign V463085 = V506228 + 1. assign V973434 = V057080 - 1. assign V942964 = V602516 + 1. assign V408768 = V202825 + 1. assign V947571 = V202825 + 1. assign V551894 = V830786 - 1. assign V807348 = V907778 + 1. assign V405576 = V423477 - 1. assign V957640 = V526243 + 1. assign V754366 = V709616. assign V614017 = V065052. assign V742839 = V843035 + 1. assign V322093 = V941610. assign V487868 = V597633. assign V406917 = V487868. assign V361701 = V883304 + 1. assign V365351 = V819339 - 1. assign V392311 = V951750 + 1. assign V544567 = V536948. assign V752922 = V389163. assign V255710 = V325576. assign V202825 = V951750. assign V991410 = V154847. assign V922827 = V392311 - 1. assign V327774 = V435838. assign V821045 = V057080 + 1. assign V353501 = V405576. assign V207964 = V671001. assign V134111 = V551894. assign V709616 = V811204. assign V050828 = V916962 - 1. assign V794653 = V389026 - 1. assign V966370 = V768682 - 1. assign V941610 = V427145 + 1. assign V486356 = V487868. assign V003452 = V928459. assign V174869 = V427145 + 1. assign V369779 = V486356 + 1. assign V891021 = V405576 - 1. assign V237264 = V241523. assign V081877 = V033551 + 1. assign V194918 = V406917 - 1. assign V055817 = V049454 + 1. assign V427145 = V389163 - 1. assign V065052 = V997423 + 1. assign V371572 = V057080 + 1. assign V883304 = V408768 + 1. assign V066085 = V154847 + 1. assign V271005 = V720049 + 1. assign V171929 = V389026 + 1. assign V928459 = V167879. assign V526243 = V799309 + 1. assign V084657 = V174869 - 1. assign V439909 = V668301. assign V085878 = V365351 - 1. assign V717516 = V167879. assign V679049 = V239347. assign V247696 = V167879 + 1. assign V113738 = V973434 - 1. assign V830786 = V241523 - 1. assign V376055 = V597633 - 1. assign V254490 = V811204 + 1. assign V869560 = V551894 + 1. assign V602516 = V389163 + 1. assign V811204 = V325576 - 1. assign V767187 = V049454 - 1. assign V781297 = V055817. assign V308826 = V862888 - 1. assign V819339 = V483086 - 1. assign V886871 = V016434 + 1. assign V671001 = V487868 + 1. assign V636915 = V049454. assign V239347 = V717516 - 1. assign V080360 = V993571 + 1. assign V324199 = V057955. assign V272959 = V500263 - 1. assign V758630 = V720049 - 1. assign V889713 = V886871. assign V016434 = V799309. assign V477495 = V752922. assign V819516 = V065052. assign V699209 = V486356. assign V948258 = V066085 - 1. assign V026805 = V951750 + 1. assign V322280 = V768682 - 1. assign V668301 = V830786 + 1. assign V339164 = V361824 + 1. assign V500263 = V951750 - 1. assign V073082 = V065052 - 1. assign V997423 = V916962. assign V193498 = V016434 - 1. assign V963160 = V487868. assign V167879 = V799309 + 1. assign V364740 = V799309 - 1. assign V630139 = V353501. assign V540820 = V597633 + 1. assign V429242 = V515651 + 1. assign V322220 = V435838. assign V260622 = V487508 - 1. assign V879681 = V536948. assign V063968 = V589311 + 1. assign V843035 = V175932 - 1. assign V618422 = V966370. assign V483086 = V717516 + 1. assign V260132 = V580023 - 1. assign V993571 = V167879 - 1. assign V820868 = V298978 - 1. assign V423477 = V167879 + 1. assign V355984 = V389026 + 1. assign V422636 = V322280. assign V768682 = V597633 + 1. assign V597633 = V167879 - 1. assign V799309 = V916962. assign V776225 = V807348 - 1. assign V862888 = V408768 + 1. assign V268632 = V057955 + 1. assign V525366 = V807348 + 1. assign V907778 = V389163. assign V951750 = V997423 - 1. assign V239710 = V389163 - 1. assign V944917 = V057080 - 1. assign V531465 = V636915 - 1. assign V154847 = V916962 + 1. assign V277582 = V951750 - 1. assign V435838 = V536948 + 1. assign V389026 = V862888. assign V325576 = V515651 - 1. assign V051090 = V922827 - 1. assign V389163 = V830786.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV025391 = 3;\n\nFrom these direct assignment(s), we have: \nV386019 = V025391 = 3;\nNo other variables can be derived from V386019;\nNo other variables can be derived from V025391;\n\nNow we have done all the calculations. Derived variables are:\nV025391 = 3;\nV386019 = 3;\n\nNow we have finished this problem. ANSWER:\nV025391, V386019\n", "role": "assistant" } ]

[ "V063341", "V572807" ]

[ { "content": "<context>\nassign V914730 = V848013 - 1. assign V722502 = V322914. assign V330863 = V408368. assign V572807 = V063341. assign V517849 = V779293 + 1. assign V755472 = V762190 - 1. assign V164500 = V171753 - 1. assign V787968 = V723877. assign V758543 = V284233. assign V606690 = V751984. assign V248483 = V937739. assign V980521 = V732519 - 1. assign V889015 = V206186 + 1. assign V589856 = V300897. assign V145692 = V965352 - 1. assign V989121 = V066850 - 1. assign V729729 = V861092 - 1. assign V005820 = V813554 + 1. assign V831714 = V357794 - 1. assign V964245 = V937739 - 1. assign V727161 = V738568 - 1. assign V531068 = V430615 + 1. assign V661685 = V185260 - 1. assign V510565 = V912961 + 1. assign V429891 = V959506 - 1. assign V029026 = V531068 + 1. assign V959506 = V707358 - 1. assign V700022 = V299312 - 1. assign V734689 = V259768. assign V838371 = V870719. assign V644410 = V914730 + 1. assign V652195 = V589856 + 1. assign V511384 = V848013 - 1. assign V678098 = V040925 + 1. assign V443692 = V813554 - 1. assign V586776 = V755472 + 1. assign V056600 = V548879. assign V040923 = V959037 + 1. assign V848013 = V636624 + 1. assign V555053 = V408368 + 1. assign V966131 = V408368 - 1. assign V100951 = V858213 + 1. assign V945341 = V722390. assign V876704 = V541313. assign V864012 = V789201 + 1. assign V387225 = V661685 + 1. assign V485742 = V138281. assign V640387 = V452848 - 1. assign V626045 = V408368. assign V905424 = V588254. assign V119935 = V779293 - 1. assign V606480 = V517849. assign V371855 = V146628 + 1. assign V563712 = V989121 + 1. assign V723877 = V430615. assign V547373 = V443692 + 1. assign V707358 = V848013. assign V303291 = V131872. assign V063341 = 6. assign V779293 = V505609 - 1. assign V053074 = V371855 + 1. assign V414891 = V762190. assign V791976 = V066850 - 1. assign V171753 = V751984 + 1. assign V322914 = V511384 - 1. assign V413767 = V408648. assign V060124 = V726936. assign V762190 = V636624 + 1. assign V861092 = V299312 + 1. assign V471390 = V726936 + 1. assign V568379 = V397299 + 1. assign V259768 = V548879 + 1. assign V040925 = V755472. assign V138281 = V234945 - 1. assign V452848 = V298853. assign V303202 = V723877. assign V131872 = V146628 + 1. assign V185260 = V430615 + 1. assign V036610 = V462892 - 1. assign V726936 = V548879. assign V609041 = V191614 - 1. assign V890783 = V813554 - 1. assign V689810 = V870719. assign V588254 = V870719 - 1. assign V819412 = V876704 + 1. assign V643453 = V727161 - 1. assign V462892 = V303202 - 1. assign V937739 = V636624 + 1. assign V275234 = V131872 + 1. assign V477333 = V882583. assign V156803 = V722390 + 1. assign V555706 = V398459 + 1. assign V512914 = V149492 - 1. assign V922949 = V732519 + 1. assign V528693 = V751984. assign V526660 = V937739 - 1. assign V890575 = V201736 - 1. assign V357794 = V430615 - 1. assign V541313 = V965352. assign V033097 = V723877. assign V850111 = V462892 + 1. assign V408368 = V606690 + 1. assign V149492 = V263019 - 1. assign V945578 = V937739. assign V505609 = V751984. assign V722390 = V959037 + 1. assign V813554 = V357794 + 1. assign V965352 = V531068 + 1. assign V646367 = V787968 - 1. assign V955255 = V922949 - 1. assign V201736 = V430615 + 1. assign V398459 = V726936. assign V430744 = V171753 - 1. assign V191614 = V870719 - 1. assign V422181 = V430615 + 1. assign V299312 = V146628. assign V051207 = V146628 + 1. assign V547207 = V791976 + 1. assign V374019 = V729729 - 1. assign V732519 = V726936. assign V206186 = V376219. assign V824064 = V111355. assign V959037 = V086391 + 1. assign V613551 = V751984 + 1. assign V265690 = V505609. assign V882583 = V779293. assign V150174 = V031540. assign V738568 = V548879. assign V284233 = V636624. assign V528020 = V242279 + 1. assign V912961 = V678098 + 1. assign V066850 = V661685 - 1. assign V563685 = V298853 + 1. assign V942173 = V471390 - 1. assign V840172 = V787968 - 1. assign V298853 = V813554. assign V687795 = V939405 - 1. assign V234945 = V636624. assign V939405 = V505609 - 1. assign V264008 = V838371 - 1. assign V086391 = V531068. assign V813911 = V387225 - 1. assign V902630 = V661685. assign V926192 = V033097. assign V652510 = V848013 + 1. assign V430615 = V636624 + 1. assign V789201 = V848013 + 1. assign V166060 = V485742. assign V492014 = V740242 + 1. assign V445901 = V408648 + 1. assign V774930 = V248483. assign V397299 = V678098. assign V408648 = V531068 - 1. assign V031540 = V661685 + 1. assign V111355 = V661685 + 1. assign V125433 = V813554 + 1. assign V751984 = V661685 + 1. assign V160815 = V171753 - 1. assign V858213 = V284233. assign V263019 = V723877. assign V548879 = V263019. assign V740242 = V787968 + 1. assign V221980 = V263019 - 1. assign V376219 = V531068 - 1. assign V242279 = V588254 + 1. assign V400988 = V430744 + 1. assign V436521 = V357794 + 1. assign V683224 = V056600 - 1. assign V740946 = V414891 + 1. assign V300897 = V762190 - 1. assign V870719 = V636624 + 1. assign V146628 = V870719 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V914730 = V848013 - 1. assign V722502 = V322914. assign V330863 = V408368. assign V572807 = V063341. assign V517849 = V779293 + 1. assign V755472 = V762190 - 1. assign V164500 = V171753 - 1. assign V787968 = V723877. assign V758543 = V284233. assign V606690 = V751984. assign V248483 = V937739. assign V980521 = V732519 - 1. assign V889015 = V206186 + 1. assign V589856 = V300897. assign V145692 = V965352 - 1. assign V989121 = V066850 - 1. assign V729729 = V861092 - 1. assign V005820 = V813554 + 1. assign V831714 = V357794 - 1. assign V964245 = V937739 - 1. assign V727161 = V738568 - 1. assign V531068 = V430615 + 1. assign V661685 = V185260 - 1. assign V510565 = V912961 + 1. assign V429891 = V959506 - 1. assign V029026 = V531068 + 1. assign V959506 = V707358 - 1. assign V700022 = V299312 - 1. assign V734689 = V259768. assign V838371 = V870719. assign V644410 = V914730 + 1. assign V652195 = V589856 + 1. assign V511384 = V848013 - 1. assign V678098 = V040925 + 1. assign V443692 = V813554 - 1. assign V586776 = V755472 + 1. assign V056600 = V548879. assign V040923 = V959037 + 1. assign V848013 = V636624 + 1. assign V555053 = V408368 + 1. assign V966131 = V408368 - 1. assign V100951 = V858213 + 1. assign V945341 = V722390. assign V876704 = V541313. assign V864012 = V789201 + 1. assign V387225 = V661685 + 1. assign V485742 = V138281. assign V640387 = V452848 - 1. assign V626045 = V408368. assign V905424 = V588254. assign V119935 = V779293 - 1. assign V606480 = V517849. assign V371855 = V146628 + 1. assign V563712 = V989121 + 1. assign V723877 = V430615. assign V547373 = V443692 + 1. assign V707358 = V848013. assign V303291 = V131872. assign V063341 = 6. assign V779293 = V505609 - 1. assign V053074 = V371855 + 1. assign V414891 = V762190. assign V791976 = V066850 - 1. assign V171753 = V751984 + 1. assign V322914 = V511384 - 1. assign V413767 = V408648. assign V060124 = V726936. assign V762190 = V636624 + 1. assign V861092 = V299312 + 1. assign V471390 = V726936 + 1. assign V568379 = V397299 + 1. assign V259768 = V548879 + 1. assign V040925 = V755472. assign V138281 = V234945 - 1. assign V452848 = V298853. assign V303202 = V723877. assign V131872 = V146628 + 1. assign V185260 = V430615 + 1. assign V036610 = V462892 - 1. assign V726936 = V548879. assign V609041 = V191614 - 1. assign V890783 = V813554 - 1. assign V689810 = V870719. assign V588254 = V870719 - 1. assign V819412 = V876704 + 1. assign V643453 = V727161 - 1. assign V462892 = V303202 - 1. assign V937739 = V636624 + 1. assign V275234 = V131872 + 1. assign V477333 = V882583. assign V156803 = V722390 + 1. assign V555706 = V398459 + 1. assign V512914 = V149492 - 1. assign V922949 = V732519 + 1. assign V528693 = V751984. assign V526660 = V937739 - 1. assign V890575 = V201736 - 1. assign V357794 = V430615 - 1. assign V541313 = V965352. assign V033097 = V723877. assign V850111 = V462892 + 1. assign V408368 = V606690 + 1. assign V149492 = V263019 - 1. assign V945578 = V937739. assign V505609 = V751984. assign V722390 = V959037 + 1. assign V813554 = V357794 + 1. assign V965352 = V531068 + 1. assign V646367 = V787968 - 1. assign V955255 = V922949 - 1. assign V201736 = V430615 + 1. assign V398459 = V726936. assign V430744 = V171753 - 1. assign V191614 = V870719 - 1. assign V422181 = V430615 + 1. assign V299312 = V146628. assign V051207 = V146628 + 1. assign V547207 = V791976 + 1. assign V374019 = V729729 - 1. assign V732519 = V726936. assign V206186 = V376219. assign V824064 = V111355. assign V959037 = V086391 + 1. assign V613551 = V751984 + 1. assign V265690 = V505609. assign V882583 = V779293. assign V150174 = V031540. assign V738568 = V548879. assign V284233 = V636624. assign V528020 = V242279 + 1. assign V912961 = V678098 + 1. assign V066850 = V661685 - 1. assign V563685 = V298853 + 1. assign V942173 = V471390 - 1. assign V840172 = V787968 - 1. assign V298853 = V813554. assign V687795 = V939405 - 1. assign V234945 = V636624. assign V939405 = V505609 - 1. assign V264008 = V838371 - 1. assign V086391 = V531068. assign V813911 = V387225 - 1. assign V902630 = V661685. assign V926192 = V033097. assign V652510 = V848013 + 1. assign V430615 = V636624 + 1. assign V789201 = V848013 + 1. assign V166060 = V485742. assign V492014 = V740242 + 1. assign V445901 = V408648 + 1. assign V774930 = V248483. assign V397299 = V678098. assign V408648 = V531068 - 1. assign V031540 = V661685 + 1. assign V111355 = V661685 + 1. assign V125433 = V813554 + 1. assign V751984 = V661685 + 1. assign V160815 = V171753 - 1. assign V858213 = V284233. assign V263019 = V723877. assign V548879 = V263019. assign V740242 = V787968 + 1. assign V221980 = V263019 - 1. assign V376219 = V531068 - 1. assign V242279 = V588254 + 1. assign V400988 = V430744 + 1. assign V436521 = V357794 + 1. assign V683224 = V056600 - 1. assign V740946 = V414891 + 1. assign V300897 = V762190 - 1. assign V870719 = V636624 + 1. assign V146628 = V870719 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV063341 = 6;\n\nFrom these direct assignment(s), we have: \nV572807 = V063341 = 6;\nNo other variables can be derived from V572807;\nNo other variables can be derived from V063341;\n\nNow we have done all the calculations. Derived variables are:\nV063341 = 6;\nV572807 = 6;\n\nNow we have finished this problem. ANSWER:\nV063341, V572807\n", "role": "assistant" } ]

[ "V269530", "V382431" ]

[ { "content": "<context>\nassign V520812 = V701841 + 1. assign V458932 = V751119. assign V272150 = V979009 + 1. assign V667021 = V028046 - 1. assign V613805 = V932170 - 1. assign V054961 = V065255 - 1. assign V608744 = V179635 + 1. assign V343683 = V712834. assign V535753 = V983401 - 1. assign V404967 = V028641 + 1. assign V144549 = V745465. assign V498238 = V865714. assign V407981 = V593682. assign V879890 = V770938. assign V124020 = V399300. assign V946990 = V712834 + 1. assign V222729 = V593682 + 1. assign V979009 = V227446 - 1. assign V028641 = V399300. assign V751119 = V179635 - 1. assign V229915 = V865714. assign V565220 = V751119. assign V695988 = V558356 - 1. assign V771899 = V866355 - 1. assign V405937 = V223097 + 1. assign V159281 = V802527. assign V129786 = V868541 + 1. assign V817735 = V112621 - 1. assign V729693 = V882789. assign V599471 = V223983 + 1. assign V249689 = V217670 + 1. assign V820779 = V148062 + 1. assign V303962 = V855226. assign V102905 = V708814. assign V034455 = V298327. assign V219756 = V712834. assign V100007 = V770938 + 1. assign V146375 = V946990 - 1. assign V495809 = V249689. assign V306414 = V323079. assign V399300 = V227446 - 1. assign V799619 = V223097. assign V382431 = V269530. assign V745119 = V708814 + 1. assign V660003 = V458932 - 1. assign V253758 = V488527 - 1. assign V365644 = V488527 + 1. assign V408857 = V148062 + 1. assign V802527 = V770938. assign V065255 = V227446. assign V419022 = V495809 + 1. assign V890653 = V701770 + 1. assign V510288 = V769657 - 1. assign V917324 = V408857 + 1. assign V593682 = V088398 + 1. assign V092273 = V987760 - 1. assign V077546 = V890653 - 1. assign V953398 = V879890. assign V430802 = V558356. assign V868541 = V378246. assign V571335 = V946990 - 1. assign V425256 = V253758 + 1. assign V865714 = V596031. assign V566144 = V223983. assign V534396 = V249689 - 1. assign V558356 = V494351 + 1. assign V468371 = V227446. assign V592171 = V522431. assign V805543 = V708814. assign V316734 = V498238 + 1. assign V223983 = V708814 - 1. assign V227446 = V608744. assign V223097 = V831455. assign V280394 = V229915. assign V596225 = V153109 - 1. assign V476446 = V534396. assign V153109 = V608744. assign V005561 = V946990. assign V712834 = V608245. assign V963175 = V187689 + 1. assign V333327 = V608744 - 1. assign V713109 = V102905 - 1. assign V064073 = V817735 + 1. assign V545916 = V713109. assign V381408 = V430517 + 1. assign V631048 = V437945. assign V625278 = V855226 - 1. assign V267853 = V217670. assign V488527 = V608245. assign V882789 = V832761. assign V427823 = V781817 + 1. assign V492235 = V534396. assign V725593 = V495154 - 1. assign V549882 = V560204. assign V947245 = V963175. assign V373498 = V466539 - 1. assign V781817 = V221744. assign V745465 = V503862. assign V112621 = V953398 - 1. assign V979583 = V153109 - 1. assign V932170 = V571335 - 1. assign V687012 = V343683. assign V195733 = V159281 - 1. assign V831455 = V855226 - 1. assign V770938 = V488527 - 1. assign V866355 = V229915 + 1. assign V217670 = V343683. assign V263378 = V187689. assign V494351 = V608245 - 1. assign V596031 = V065255 - 1. assign V221744 = V712834. assign V075017 = V373353. assign V928031 = V946990. assign V503862 = V221744 + 1. assign V756086 = V799619. assign V151860 = V430517 + 1. assign V286675 = V625405 + 1. assign V561437 = V558356. assign V824934 = V560204 + 1. assign V507712 = V430802 - 1. assign V148062 = V855226 - 1. assign V769657 = V855226 - 1. assign V350328 = V146375 - 1. assign V493390 = V223983. assign V620559 = V855226 + 1. assign V878598 = V625405 - 1. assign V635274 = V381408 - 1. assign V983401 = V430517. assign V911709 = V187689 + 1. assign V378246 = V495154. assign V701841 = V430517 - 1. assign V430517 = V065255 - 1. assign V298327 = V687012 + 1. assign V895206 = V756086. assign V269530 = 0. assign V446832 = V468371. assign V018374 = V437945. assign V495154 = V458932. assign V437945 = V608744 - 1. assign V373353 = V695988. assign V625405 = V712834 - 1. assign V832761 = V712834. assign V392175 = V701841. assign V560204 = V430802. assign V693540 = V303962 + 1. assign V088398 = V890653. assign V364857 = V221744. assign V009586 = V221744. assign V028046 = V565220 - 1. assign V106140 = V495809 + 1. assign V323079 = V399300. assign V287125 = V890653 - 1. assign V466539 = V878598. assign V009856 = V286675 - 1. assign V855226 = V179635 + 1. assign V868522 = V947245 - 1. assign V545216 = V227446 + 1. assign V179635 = V625405. assign V016164 = V701770. assign V676277 = V560204. assign V354236 = V631048 + 1. assign V500732 = V979009. assign V187689 = V343683. assign V861604 = V781817 + 1. assign V708814 = V770938 - 1. assign V701770 = V769657 + 1. assign V828100 = V223097. assign V987760 = V729693 + 1. assign V946175 = V054961 - 1. assign V677546 = V187689 - 1. assign V522431 = V222729 + 1. assign V924281 = V404967 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V520812 = V701841 + 1. assign V458932 = V751119. assign V272150 = V979009 + 1. assign V667021 = V028046 - 1. assign V613805 = V932170 - 1. assign V054961 = V065255 - 1. assign V608744 = V179635 + 1. assign V343683 = V712834. assign V535753 = V983401 - 1. assign V404967 = V028641 + 1. assign V144549 = V745465. assign V498238 = V865714. assign V407981 = V593682. assign V879890 = V770938. assign V124020 = V399300. assign V946990 = V712834 + 1. assign V222729 = V593682 + 1. assign V979009 = V227446 - 1. assign V028641 = V399300. assign V751119 = V179635 - 1. assign V229915 = V865714. assign V565220 = V751119. assign V695988 = V558356 - 1. assign V771899 = V866355 - 1. assign V405937 = V223097 + 1. assign V159281 = V802527. assign V129786 = V868541 + 1. assign V817735 = V112621 - 1. assign V729693 = V882789. assign V599471 = V223983 + 1. assign V249689 = V217670 + 1. assign V820779 = V148062 + 1. assign V303962 = V855226. assign V102905 = V708814. assign V034455 = V298327. assign V219756 = V712834. assign V100007 = V770938 + 1. assign V146375 = V946990 - 1. assign V495809 = V249689. assign V306414 = V323079. assign V399300 = V227446 - 1. assign V799619 = V223097. assign V382431 = V269530. assign V745119 = V708814 + 1. assign V660003 = V458932 - 1. assign V253758 = V488527 - 1. assign V365644 = V488527 + 1. assign V408857 = V148062 + 1. assign V802527 = V770938. assign V065255 = V227446. assign V419022 = V495809 + 1. assign V890653 = V701770 + 1. assign V510288 = V769657 - 1. assign V917324 = V408857 + 1. assign V593682 = V088398 + 1. assign V092273 = V987760 - 1. assign V077546 = V890653 - 1. assign V953398 = V879890. assign V430802 = V558356. assign V868541 = V378246. assign V571335 = V946990 - 1. assign V425256 = V253758 + 1. assign V865714 = V596031. assign V566144 = V223983. assign V534396 = V249689 - 1. assign V558356 = V494351 + 1. assign V468371 = V227446. assign V592171 = V522431. assign V805543 = V708814. assign V316734 = V498238 + 1. assign V223983 = V708814 - 1. assign V227446 = V608744. assign V223097 = V831455. assign V280394 = V229915. assign V596225 = V153109 - 1. assign V476446 = V534396. assign V153109 = V608744. assign V005561 = V946990. assign V712834 = V608245. assign V963175 = V187689 + 1. assign V333327 = V608744 - 1. assign V713109 = V102905 - 1. assign V064073 = V817735 + 1. assign V545916 = V713109. assign V381408 = V430517 + 1. assign V631048 = V437945. assign V625278 = V855226 - 1. assign V267853 = V217670. assign V488527 = V608245. assign V882789 = V832761. assign V427823 = V781817 + 1. assign V492235 = V534396. assign V725593 = V495154 - 1. assign V549882 = V560204. assign V947245 = V963175. assign V373498 = V466539 - 1. assign V781817 = V221744. assign V745465 = V503862. assign V112621 = V953398 - 1. assign V979583 = V153109 - 1. assign V932170 = V571335 - 1. assign V687012 = V343683. assign V195733 = V159281 - 1. assign V831455 = V855226 - 1. assign V770938 = V488527 - 1. assign V866355 = V229915 + 1. assign V217670 = V343683. assign V263378 = V187689. assign V494351 = V608245 - 1. assign V596031 = V065255 - 1. assign V221744 = V712834. assign V075017 = V373353. assign V928031 = V946990. assign V503862 = V221744 + 1. assign V756086 = V799619. assign V151860 = V430517 + 1. assign V286675 = V625405 + 1. assign V561437 = V558356. assign V824934 = V560204 + 1. assign V507712 = V430802 - 1. assign V148062 = V855226 - 1. assign V769657 = V855226 - 1. assign V350328 = V146375 - 1. assign V493390 = V223983. assign V620559 = V855226 + 1. assign V878598 = V625405 - 1. assign V635274 = V381408 - 1. assign V983401 = V430517. assign V911709 = V187689 + 1. assign V378246 = V495154. assign V701841 = V430517 - 1. assign V430517 = V065255 - 1. assign V298327 = V687012 + 1. assign V895206 = V756086. assign V269530 = 0. assign V446832 = V468371. assign V018374 = V437945. assign V495154 = V458932. assign V437945 = V608744 - 1. assign V373353 = V695988. assign V625405 = V712834 - 1. assign V832761 = V712834. assign V392175 = V701841. assign V560204 = V430802. assign V693540 = V303962 + 1. assign V088398 = V890653. assign V364857 = V221744. assign V009586 = V221744. assign V028046 = V565220 - 1. assign V106140 = V495809 + 1. assign V323079 = V399300. assign V287125 = V890653 - 1. assign V466539 = V878598. assign V009856 = V286675 - 1. assign V855226 = V179635 + 1. assign V868522 = V947245 - 1. assign V545216 = V227446 + 1. assign V179635 = V625405. assign V016164 = V701770. assign V676277 = V560204. assign V354236 = V631048 + 1. assign V500732 = V979009. assign V187689 = V343683. assign V861604 = V781817 + 1. assign V708814 = V770938 - 1. assign V701770 = V769657 + 1. assign V828100 = V223097. assign V987760 = V729693 + 1. assign V946175 = V054961 - 1. assign V677546 = V187689 - 1. assign V522431 = V222729 + 1. assign V924281 = V404967 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV269530 = 0;\n\nFrom these direct assignment(s), we have: \nV382431 = V269530 = 0;\nNo other variables can be derived from V382431;\nNo other variables can be derived from V269530;\n\nNow we have done all the calculations. Derived variables are:\nV269530 = 0;\nV382431 = 0;\n\nNow we have finished this problem. ANSWER:\nV269530, V382431\n", "role": "assistant" } ]

[ "V023051" ]

[ { "content": "<context>\nassign V059900 = V279629. assign V437572 = V078429. assign V169899 = V100083. assign V330344 = V590919 - 1. assign V264288 = V885389. assign V616874 = V255384 + 1. assign V262866 = V012886 + 1. assign V604326 = V714829 + 1. assign V359365 = V829195 - 1. assign V596528 = V882350. assign V798746 = V012886 - 1. assign V989817 = V452361 + 1. assign V940943 = V333062 + 1. assign V882350 = V961303 + 1. assign V864948 = V255384. assign V302990 = V359365 - 1. assign V819765 = V590836. assign V829195 = V255384 + 1. assign V035717 = V986496 - 1. assign V870483 = V243534 - 1. assign V590849 = V828704. assign V012886 = V426893 - 1. assign V333198 = V100083 + 1. assign V833040 = V100083 - 1. assign V290190 = V078429. assign V153326 = V127450 - 1. assign V333062 = V857455 + 1. assign V855132 = V426893 - 1. assign V172656 = V984456 + 1. assign V362166 = V855132 - 1. assign V552822 = V359365 - 1. assign V961805 = V698685. assign V966102 = V333062 - 1. assign V128173 = V658333. assign V842284 = V852742 - 1. assign V817411 = V032347. assign V422384 = V285544 + 1. assign V984456 = V961805. assign V378417 = V864948. assign V684576 = V658333 - 1. assign V592013 = V330344 + 1. assign V580464 = V364517 + 1. assign V961303 = V864948 - 1. assign V978407 = V469374 - 1. assign V877864 = V094546. assign V032347 = V855132. assign V590836 = V833040 + 1. assign V262397 = V684576 + 1. assign V604676 = V262866. assign V469374 = V590919. assign V052974 = V898741 - 1. assign V243534 = V426893 + 1. assign V861151 = V120800 + 1. assign V595545 = V885389 - 1. assign V933417 = V677365 + 1. assign V344840 = V882350. assign V866406 = V962734 - 1. assign V991607 = V424980 - 1. assign V945387 = V898741 + 1. assign V695984 = V593518. assign V466814 = V658333. assign V762952 = V267452 - 1. assign V356461 = V707395. assign V680297 = V698685 - 1. assign V808290 = V708112. assign V405073 = V628749 + 1. assign V658333 = V677365 - 1. assign V552073 = V378417. assign V440495 = V708112 + 1. assign V914466 = V262866 + 1. assign V486545 = V285544 + 1. assign V962236 = V755278. assign V852742 = V122575 + 1. assign V127450 = V466814. assign V347884 = V035717 - 1. assign V894069 = V424980 + 1. assign V039872 = V658333. assign V902710 = V984456. assign V708112 = V127450 - 1. assign V990801 = V452361. assign V827427 = V593518. assign V869285 = V731056 + 1. assign V898741 = V415979. assign V665282 = V991607. assign V603734 = V023051 - 1. assign V415979 = V698685. assign V732577 = V624474. assign V094546 = V330344 - 1. assign V587308 = V593518 + 1. assign V215528 = V132832. assign V105297 = V614153 + 1. assign V578150 = V262866 + 1. assign V899134 = V347884 - 1. assign V962734 = V658333 - 1. assign V382835 = V857455. assign V731056 = V961303. assign V120800 = V415979. assign V078429 = V094546 - 1. assign V469526 = V378417 - 1. assign V549857 = V732577 - 1. assign V924671 = V057583 + 1. assign V665500 = V677365 + 1. assign V793423 = V378417 + 1. assign V155775 = V755278. assign V819235 = V677365. assign V112963 = V094546 - 1. assign V668733 = V035717. assign V828704 = V590919 - 1. assign V755278 = V132832 + 1. assign V709826 = V677365 - 1. assign V782868 = V078429 + 1. assign V057583 = V962734 + 1. assign V512572 = V966102 - 1. assign V451551 = V098353. assign V519658 = V799405 - 1. assign V628749 = V424980 - 1. assign V023051 = 5. assign V409982 = V466814. assign V973454 = V409982 - 1. assign V501868 = V580464 + 1. assign V114257 = V590919. assign V880592 = V762952. assign V122575 = V595545 - 1. assign V279629 = V128173 + 1. assign V100083 = V991607. assign V885389 = V864948. assign V421654 = V593518 - 1. assign V614153 = V501868. assign V540031 = V616874 + 1. assign V442475 = V369931 - 1. assign V924399 = V866406 + 1. assign V677365 = V255384. assign V098353 = V333198 - 1. assign V785378 = V364517 + 1. assign V024788 = V961805 - 1. assign V267452 = V359365. assign V424980 = V861151 + 1. assign V590919 = V684576 - 1. assign V986496 = V255384 - 1. assign V356755 = V215528 - 1. assign V361267 = V945387 - 1. assign V624474 = V798746 - 1. assign V086076 = V684576 + 1. assign V593518 = V658333. assign V799405 = V469526 - 1. assign V426893 = V255384. assign V714829 = V078429 + 1. assign V194802 = V616874 - 1. assign V285544 = V378417 + 1. assign V283496 = V940943. assign V707395 = V466814. assign V070803 = V359365. assign V260835 = V330344 - 1. assign V053917 = V262397. assign V452702 = V984456 + 1. assign V369931 = V961805 + 1. assign V147964 = V966102 - 1. assign V128321 = V962236 - 1. assign V698685 = V658333. assign V336054 = V882350 - 1. assign V242829 = V604326 - 1. assign V857455 = V898741. assign V969368 = V260835 - 1. assign V478366 = V098353. assign V132832 = V120800 + 1. assign V397885 = V024788 - 1. assign V181672 = V861151 + 1. assign V930861 = V616874 - 1. assign V679131 = V347884. assign V364517 = V861151 + 1. assign V268653 = V112963. assign V452361 = V437572 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V059900 = V279629. assign V437572 = V078429. assign V169899 = V100083. assign V330344 = V590919 - 1. assign V264288 = V885389. assign V616874 = V255384 + 1. assign V262866 = V012886 + 1. assign V604326 = V714829 + 1. assign V359365 = V829195 - 1. assign V596528 = V882350. assign V798746 = V012886 - 1. assign V989817 = V452361 + 1. assign V940943 = V333062 + 1. assign V882350 = V961303 + 1. assign V864948 = V255384. assign V302990 = V359365 - 1. assign V819765 = V590836. assign V829195 = V255384 + 1. assign V035717 = V986496 - 1. assign V870483 = V243534 - 1. assign V590849 = V828704. assign V012886 = V426893 - 1. assign V333198 = V100083 + 1. assign V833040 = V100083 - 1. assign V290190 = V078429. assign V153326 = V127450 - 1. assign V333062 = V857455 + 1. assign V855132 = V426893 - 1. assign V172656 = V984456 + 1. assign V362166 = V855132 - 1. assign V552822 = V359365 - 1. assign V961805 = V698685. assign V966102 = V333062 - 1. assign V128173 = V658333. assign V842284 = V852742 - 1. assign V817411 = V032347. assign V422384 = V285544 + 1. assign V984456 = V961805. assign V378417 = V864948. assign V684576 = V658333 - 1. assign V592013 = V330344 + 1. assign V580464 = V364517 + 1. assign V961303 = V864948 - 1. assign V978407 = V469374 - 1. assign V877864 = V094546. assign V032347 = V855132. assign V590836 = V833040 + 1. assign V262397 = V684576 + 1. assign V604676 = V262866. assign V469374 = V590919. assign V052974 = V898741 - 1. assign V243534 = V426893 + 1. assign V861151 = V120800 + 1. assign V595545 = V885389 - 1. assign V933417 = V677365 + 1. assign V344840 = V882350. assign V866406 = V962734 - 1. assign V991607 = V424980 - 1. assign V945387 = V898741 + 1. assign V695984 = V593518. assign V466814 = V658333. assign V762952 = V267452 - 1. assign V356461 = V707395. assign V680297 = V698685 - 1. assign V808290 = V708112. assign V405073 = V628749 + 1. assign V658333 = V677365 - 1. assign V552073 = V378417. assign V440495 = V708112 + 1. assign V914466 = V262866 + 1. assign V486545 = V285544 + 1. assign V962236 = V755278. assign V852742 = V122575 + 1. assign V127450 = V466814. assign V347884 = V035717 - 1. assign V894069 = V424980 + 1. assign V039872 = V658333. assign V902710 = V984456. assign V708112 = V127450 - 1. assign V990801 = V452361. assign V827427 = V593518. assign V869285 = V731056 + 1. assign V898741 = V415979. assign V665282 = V991607. assign V603734 = V023051 - 1. assign V415979 = V698685. assign V732577 = V624474. assign V094546 = V330344 - 1. assign V587308 = V593518 + 1. assign V215528 = V132832. assign V105297 = V614153 + 1. assign V578150 = V262866 + 1. assign V899134 = V347884 - 1. assign V962734 = V658333 - 1. assign V382835 = V857455. assign V731056 = V961303. assign V120800 = V415979. assign V078429 = V094546 - 1. assign V469526 = V378417 - 1. assign V549857 = V732577 - 1. assign V924671 = V057583 + 1. assign V665500 = V677365 + 1. assign V793423 = V378417 + 1. assign V155775 = V755278. assign V819235 = V677365. assign V112963 = V094546 - 1. assign V668733 = V035717. assign V828704 = V590919 - 1. assign V755278 = V132832 + 1. assign V709826 = V677365 - 1. assign V782868 = V078429 + 1. assign V057583 = V962734 + 1. assign V512572 = V966102 - 1. assign V451551 = V098353. assign V519658 = V799405 - 1. assign V628749 = V424980 - 1. assign V023051 = 5. assign V409982 = V466814. assign V973454 = V409982 - 1. assign V501868 = V580464 + 1. assign V114257 = V590919. assign V880592 = V762952. assign V122575 = V595545 - 1. assign V279629 = V128173 + 1. assign V100083 = V991607. assign V885389 = V864948. assign V421654 = V593518 - 1. assign V614153 = V501868. assign V540031 = V616874 + 1. assign V442475 = V369931 - 1. assign V924399 = V866406 + 1. assign V677365 = V255384. assign V098353 = V333198 - 1. assign V785378 = V364517 + 1. assign V024788 = V961805 - 1. assign V267452 = V359365. assign V424980 = V861151 + 1. assign V590919 = V684576 - 1. assign V986496 = V255384 - 1. assign V356755 = V215528 - 1. assign V361267 = V945387 - 1. assign V624474 = V798746 - 1. assign V086076 = V684576 + 1. assign V593518 = V658333. assign V799405 = V469526 - 1. assign V426893 = V255384. assign V714829 = V078429 + 1. assign V194802 = V616874 - 1. assign V285544 = V378417 + 1. assign V283496 = V940943. assign V707395 = V466814. assign V070803 = V359365. assign V260835 = V330344 - 1. assign V053917 = V262397. assign V452702 = V984456 + 1. assign V369931 = V961805 + 1. assign V147964 = V966102 - 1. assign V128321 = V962236 - 1. assign V698685 = V658333. assign V336054 = V882350 - 1. assign V242829 = V604326 - 1. assign V857455 = V898741. assign V969368 = V260835 - 1. assign V478366 = V098353. assign V132832 = V120800 + 1. assign V397885 = V024788 - 1. assign V181672 = V861151 + 1. assign V930861 = V616874 - 1. assign V679131 = V347884. assign V364517 = V861151 + 1. assign V268653 = V112963. assign V452361 = V437572 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV023051 = 5;\n\nFrom these direct assignment(s), we have: \nV603734 = V023051 - 1 = 5 - 1 =4;\nNo other variables can be derived from V603734;\nNo other variables can be derived from V023051;\n\nNow we have done all the calculations. Derived variables are:\nV023051 = 5;\nV603734 = 4;\n\nNow we have finished this problem. ANSWER:\nV023051\n", "role": "assistant" } ]

[ "V895273", "V570399" ]

[ { "content": "<context>\nassign V898074 = V994934. assign V647194 = V297974. assign V354243 = V877358 + 1. assign V199038 = V877358 - 1. assign V748458 = V994934. assign V215107 = V428137. assign V936139 = V036226 - 1. assign V546308 = V933917. assign V732869 = V199038. assign V281645 = V216829 + 1. assign V172239 = V027735 - 1. assign V228747 = V428137 - 1. assign V430870 = V608742. assign V042837 = V708377. assign V018359 = V063465 + 1. assign V608742 = V283436. assign V563550 = V650358 - 1. assign V267904 = V228747 - 1. assign V246012 = V616157 - 1. assign V416320 = V247201 - 1. assign V440848 = V811757. assign V529091 = V162604. assign V933917 = V712672. assign V191479 = V027735 + 1. assign V913668 = V787074 + 1. assign V457316 = V380647 + 1. assign V557419 = V418815 + 1. assign V107573 = V297974 - 1. assign V258038 = V619607 - 1. assign V127403 = V428137 - 1. assign V743810 = V172239 - 1. assign V297974 = V418815 - 1. assign V610448 = V732181 - 1. assign V428137 = V827126 - 1. assign V895273 = 9. assign V811757 = V589914 + 1. assign V885092 = V277684 + 1. assign V313212 = V877358. assign V913133 = V922610 - 1. assign V196892 = V644531. assign V682299 = V211722 + 1. assign V753443 = V428137 - 1. assign V585660 = V912789 + 1. assign V630197 = V850007 + 1. assign V248987 = V406304 + 1. assign V922610 = V827126 - 1. assign V910882 = V529091 + 1. assign V095238 = V787074. assign V282238 = V107573 - 1. assign V277684 = V620690 + 1. assign V903784 = V712672 + 1. assign V833771 = V712672 - 1. assign V027378 = V730858 - 1. assign V793256 = V247201 - 1. assign V800081 = V777737 - 1. assign V256544 = V890485 - 1. assign V125896 = V712672 - 1. assign V312930 = V827126 + 1. assign V877900 = V557419. assign V850007 = V418815 - 1. assign V434425 = V418815 - 1. assign V231709 = V674073. assign V669781 = V712672 - 1. assign V913017 = V948948 + 1. assign V243297 = V406304 - 1. assign V308994 = V610448. assign V695059 = V428137 + 1. assign V363219 = V563550. assign V135749 = V027735 + 1. assign V247201 = V118367 + 1. assign V697020 = V368871. assign V100764 = V186086 + 1. assign V454397 = V644531 - 1. assign V616157 = V669781. assign V730858 = V075019 - 1. assign V093904 = V732181. assign V567952 = V453371 - 1. assign V406304 = V682299. assign V570399 = V895273. assign V742732 = V496965. assign V787074 = V650358. assign V652815 = V913133 - 1. assign V672970 = V748458 + 1. assign V976900 = V850007. assign V226921 = V135749. assign V512016 = V256544. assign V013169 = V036226 - 1. assign V985089 = V922610 - 1. assign V915805 = V794190. assign V897300 = V368871 + 1. assign V818612 = V816547. assign V727913 = V674073. assign V753125 = V727913. assign V777695 = V800081 + 1. assign V172543 = V610448 - 1. assign V994934 = V107573 + 1. assign V274285 = V597151 - 1. assign V732181 = V428137 - 1. assign V948948 = V313212 + 1. assign V941996 = V777737. assign V644531 = V162604 - 1. assign V368871 = V877358 - 1. assign V350568 = V418815 + 1. assign V423055 = V529091 - 1. assign V885174 = V913668. assign V513079 = V283436. assign V182716 = V650358 - 1. assign V650358 = V428137 + 1. assign V162604 = V732181. assign V384095 = V610448 + 1. assign V036226 = V650358 + 1. assign V982117 = V907060. assign V244812 = V982117. assign V468024 = V827126 + 1. assign V907060 = V418815. assign V597151 = V650358 - 1. assign V749182 = V453371. assign V986533 = V877358. assign V186086 = V913133 - 1. assign V171507 = V743810 + 1. assign V890485 = V075019. assign V912789 = V428137 + 1. assign V761873 = V196892 - 1. assign V794190 = V211722. assign V063465 = V118367 - 1. assign V620690 = V827126 - 1. assign V213835 = V922610. assign V771175 = V948948 + 1. assign V648389 = V027735 + 1. assign V017320 = V800081 + 1. assign V380108 = V986533 - 1. assign V567456 = V313212. assign V877358 = V922610 - 1. assign V182644 = V933917 + 1. assign V848000 = V885174 - 1. assign V674073 = V650358 + 1. assign V468449 = V903784 + 1. assign V349781 = V093904. assign V118367 = V922610 + 1. assign V777737 = V434425 + 1. assign V041806 = V063465. assign V453371 = V933917 - 1. assign V216829 = V125896. assign V916776 = V513079. assign V075019 = V827126. assign V483176 = V186086 + 1. assign V619607 = V256544 + 1. assign V469538 = V036226 - 1. assign V410322 = V727913. assign V027735 = V267904 - 1. assign V553504 = V416320 + 1. assign V496965 = V585660 - 1. assign V662314 = V191479 + 1. assign V823295 = V186086 + 1. assign V358843 = V172543. assign V708377 = V418815 + 1. assign V228872 = V186086. assign V211722 = V418815 + 1. assign V589914 = V933917 - 1. assign V044294 = V354243. assign V428000 = V610448 + 1. assign V691083 = V913668 + 1. assign V588257 = V620690 + 1. assign V283436 = V877358. assign V191200 = V897300. assign V712672 = V127403 - 1. assign V390935 = V246012 - 1. assign V175532 = V483176 - 1. assign V328506 = V777695. assign V816547 = V313212 - 1. assign V418815 = V827126 - 1. assign V380647 = V800081 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V898074 = V994934. assign V647194 = V297974. assign V354243 = V877358 + 1. assign V199038 = V877358 - 1. assign V748458 = V994934. assign V215107 = V428137. assign V936139 = V036226 - 1. assign V546308 = V933917. assign V732869 = V199038. assign V281645 = V216829 + 1. assign V172239 = V027735 - 1. assign V228747 = V428137 - 1. assign V430870 = V608742. assign V042837 = V708377. assign V018359 = V063465 + 1. assign V608742 = V283436. assign V563550 = V650358 - 1. assign V267904 = V228747 - 1. assign V246012 = V616157 - 1. assign V416320 = V247201 - 1. assign V440848 = V811757. assign V529091 = V162604. assign V933917 = V712672. assign V191479 = V027735 + 1. assign V913668 = V787074 + 1. assign V457316 = V380647 + 1. assign V557419 = V418815 + 1. assign V107573 = V297974 - 1. assign V258038 = V619607 - 1. assign V127403 = V428137 - 1. assign V743810 = V172239 - 1. assign V297974 = V418815 - 1. assign V610448 = V732181 - 1. assign V428137 = V827126 - 1. assign V895273 = 9. assign V811757 = V589914 + 1. assign V885092 = V277684 + 1. assign V313212 = V877358. assign V913133 = V922610 - 1. assign V196892 = V644531. assign V682299 = V211722 + 1. assign V753443 = V428137 - 1. assign V585660 = V912789 + 1. assign V630197 = V850007 + 1. assign V248987 = V406304 + 1. assign V922610 = V827126 - 1. assign V910882 = V529091 + 1. assign V095238 = V787074. assign V282238 = V107573 - 1. assign V277684 = V620690 + 1. assign V903784 = V712672 + 1. assign V833771 = V712672 - 1. assign V027378 = V730858 - 1. assign V793256 = V247201 - 1. assign V800081 = V777737 - 1. assign V256544 = V890485 - 1. assign V125896 = V712672 - 1. assign V312930 = V827126 + 1. assign V877900 = V557419. assign V850007 = V418815 - 1. assign V434425 = V418815 - 1. assign V231709 = V674073. assign V669781 = V712672 - 1. assign V913017 = V948948 + 1. assign V243297 = V406304 - 1. assign V308994 = V610448. assign V695059 = V428137 + 1. assign V363219 = V563550. assign V135749 = V027735 + 1. assign V247201 = V118367 + 1. assign V697020 = V368871. assign V100764 = V186086 + 1. assign V454397 = V644531 - 1. assign V616157 = V669781. assign V730858 = V075019 - 1. assign V093904 = V732181. assign V567952 = V453371 - 1. assign V406304 = V682299. assign V570399 = V895273. assign V742732 = V496965. assign V787074 = V650358. assign V652815 = V913133 - 1. assign V672970 = V748458 + 1. assign V976900 = V850007. assign V226921 = V135749. assign V512016 = V256544. assign V013169 = V036226 - 1. assign V985089 = V922610 - 1. assign V915805 = V794190. assign V897300 = V368871 + 1. assign V818612 = V816547. assign V727913 = V674073. assign V753125 = V727913. assign V777695 = V800081 + 1. assign V172543 = V610448 - 1. assign V994934 = V107573 + 1. assign V274285 = V597151 - 1. assign V732181 = V428137 - 1. assign V948948 = V313212 + 1. assign V941996 = V777737. assign V644531 = V162604 - 1. assign V368871 = V877358 - 1. assign V350568 = V418815 + 1. assign V423055 = V529091 - 1. assign V885174 = V913668. assign V513079 = V283436. assign V182716 = V650358 - 1. assign V650358 = V428137 + 1. assign V162604 = V732181. assign V384095 = V610448 + 1. assign V036226 = V650358 + 1. assign V982117 = V907060. assign V244812 = V982117. assign V468024 = V827126 + 1. assign V907060 = V418815. assign V597151 = V650358 - 1. assign V749182 = V453371. assign V986533 = V877358. assign V186086 = V913133 - 1. assign V171507 = V743810 + 1. assign V890485 = V075019. assign V912789 = V428137 + 1. assign V761873 = V196892 - 1. assign V794190 = V211722. assign V063465 = V118367 - 1. assign V620690 = V827126 - 1. assign V213835 = V922610. assign V771175 = V948948 + 1. assign V648389 = V027735 + 1. assign V017320 = V800081 + 1. assign V380108 = V986533 - 1. assign V567456 = V313212. assign V877358 = V922610 - 1. assign V182644 = V933917 + 1. assign V848000 = V885174 - 1. assign V674073 = V650358 + 1. assign V468449 = V903784 + 1. assign V349781 = V093904. assign V118367 = V922610 + 1. assign V777737 = V434425 + 1. assign V041806 = V063465. assign V453371 = V933917 - 1. assign V216829 = V125896. assign V916776 = V513079. assign V075019 = V827126. assign V483176 = V186086 + 1. assign V619607 = V256544 + 1. assign V469538 = V036226 - 1. assign V410322 = V727913. assign V027735 = V267904 - 1. assign V553504 = V416320 + 1. assign V496965 = V585660 - 1. assign V662314 = V191479 + 1. assign V823295 = V186086 + 1. assign V358843 = V172543. assign V708377 = V418815 + 1. assign V228872 = V186086. assign V211722 = V418815 + 1. assign V589914 = V933917 - 1. assign V044294 = V354243. assign V428000 = V610448 + 1. assign V691083 = V913668 + 1. assign V588257 = V620690 + 1. assign V283436 = V877358. assign V191200 = V897300. assign V712672 = V127403 - 1. assign V390935 = V246012 - 1. assign V175532 = V483176 - 1. assign V328506 = V777695. assign V816547 = V313212 - 1. assign V418815 = V827126 - 1. assign V380647 = V800081 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV895273 = 9;\n\nFrom these direct assignment(s), we have: \nV570399 = V895273 = 9;\nNo other variables can be derived from V570399;\nNo other variables can be derived from V895273;\n\nNow we have done all the calculations. Derived variables are:\nV895273 = 9;\nV570399 = 9;\n\nNow we have finished this problem. ANSWER:\nV895273, V570399\n", "role": "assistant" } ]

[ "V798834" ]

[ { "content": "<context>\nassign V442733 = V271677. assign V611203 = V450703. assign V927292 = V459808 + 1. assign V019515 = V282316. assign V274884 = V637834. assign V583162 = V133225. assign V282316 = V678683. assign V631960 = V843933 + 1. assign V026950 = V611203 - 1. assign V924818 = V071989. assign V279977 = V478273 + 1. assign V286986 = V765520 - 1. assign V490735 = V489234 + 1. assign V474165 = V789998 + 1. assign V843933 = V928063 + 1. assign V075826 = V888228 - 1. assign V108079 = V895748 + 1. assign V154967 = V415309 - 1. assign V917409 = V789998 - 1. assign V781220 = V495313 - 1. assign V729536 = V912100. assign V882613 = V877165. assign V506141 = V515222 + 1. assign V813164 = V515222. assign V601479 = V888228 - 1. assign V888228 = V515222 + 1. assign V175884 = V495313 + 1. assign V678683 = V813164. assign V212155 = V637834 - 1. assign V889991 = V096522. assign V596681 = V350076. assign V672603 = V350076. assign V433491 = V849278. assign V591032 = V282316 - 1. assign V410096 = V362533 + 1. assign V366404 = V133225. assign V252392 = V096522. assign V832569 = V872975 + 1. assign V048982 = V261188 + 1. assign V895748 = V096522. assign V729267 = V672603 + 1. assign V009037 = V489234. assign V804232 = V169464 - 1. assign V214942 = V888228 + 1. assign V342357 = V843933 + 1. assign V694835 = V888228 + 1. assign V329627 = V489234 - 1. assign V051436 = V832569 - 1. assign V748862 = V525098 - 1. assign V753163 = V056768 + 1. assign V779608 = V601479 - 1. assign V415322 = V048982. assign V798834 = 4. assign V514793 = V928063. assign V159380 = V559433 + 1. assign V559433 = V329627. assign V043460 = V843933 - 1. assign V746094 = V133225 + 1. assign V347464 = V940200. assign V056768 = V843933 - 1. assign V429850 = V355991. assign V781987 = V916132 - 1. assign V949677 = V798834 - 1. assign V386706 = V008802 + 1. assign V066244 = V888228. assign V718035 = V054419. assign V012577 = V854161 - 1. assign V940200 = V355991. assign V450703 = V254531 + 1. assign V581359 = V009037 - 1. assign V169464 = V044912 + 1. assign V850208 = V641899. assign V738012 = V056768. assign V752264 = V843933. assign V576062 = V675715 - 1. assign V849278 = V214697 - 1. assign V435400 = V781422 + 1. assign V754741 = V495087. assign V872975 = V044912 + 1. assign V495313 = V581359. assign V949529 = V366404 - 1. assign V789998 = V066244. assign V910545 = V093251. assign V727071 = V026950 + 1. assign V355991 = V904692. assign V093251 = V677041 - 1. assign V676081 = V882613 - 1. assign V054419 = V075826 + 1. assign V912100 = V789998 - 1. assign V648312 = V043460. assign V044912 = V877165 - 1. assign V095519 = V813164. assign V349242 = V450703 + 1. assign V802901 = V349242. assign V337724 = V274884 + 1. assign V277559 = V056768 - 1. assign V459808 = V366404. assign V678224 = V913563. assign V728156 = V009037 + 1. assign V970569 = V799325 + 1. assign V904692 = V054419 + 1. assign V765520 = V805034. assign V794314 = V637834. assign V492347 = V666285 + 1. assign V489234 = V928063 - 1. assign V478273 = V849278 - 1. assign V525098 = V350076. assign V261188 = V515222 + 1. assign V532698 = V474165. assign V148451 = V882613 - 1. assign V343309 = V362533 + 1. assign V945356 = V127302 + 1. assign V495087 = V254531 - 1. assign V666141 = V666285 + 1. assign V554561 = V666285 + 1. assign V859499 = V214697 - 1. assign V096522 = V066244 + 1. assign V037705 = V490735 + 1. assign V096805 = V271677 - 1. assign V677041 = V799325 + 1. assign V462439 = V641899 - 1. assign V958508 = V450703 + 1. assign V151071 = V789998. assign V838130 = V015330. assign V005563 = V554561 - 1. assign V314156 = V148396 + 1. assign V663809 = V462439 - 1. assign V626037 = V854161 + 1. assign V696932 = V590247 - 1. assign V590247 = V151071. assign V415309 = V765520. assign V015330 = V151071 - 1. assign V928063 = V888228 + 1. assign V180129 = V252392 + 1. assign V372859 = V015330 + 1. assign V799325 = V889991. assign V008802 = V813164 - 1. assign V127302 = V928063 - 1. assign V913563 = V054419. assign V087860 = V495087 - 1. assign V944151 = V888228 - 1. assign V781422 = V738012. assign V148396 = V474165 - 1. assign V562620 = V813164 - 1. assign V791955 = V450703. assign V916132 = V928063 - 1. assign V854161 = V666285 + 1. assign V894968 = V489234 - 1. assign V877165 = V214942. assign V228377 = V581359 - 1. assign V675715 = V214697 + 1. assign V350076 = V133225 - 1. assign V679266 = V342357 + 1. assign V129652 = V554561 + 1. assign V637834 = V350076 + 1. assign V805034 = V095519. assign V271677 = V791955 - 1. assign V362533 = V916132 - 1. assign V133225 = V515222. assign V244418 = V254531 - 1. assign V254531 = V066244 - 1. assign V666285 = V095519 + 1. assign V021515 = V362533. assign V885717 = V127302 + 1. assign V858762 = V274884. assign V645954 = V506141. assign V884777 = V490735. assign V071989 = V214942. assign V336261 = V641899 - 1. assign V201294 = V274884. assign V641899 = V515222 + 1. assign V214697 = V611203 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V442733 = V271677. assign V611203 = V450703. assign V927292 = V459808 + 1. assign V019515 = V282316. assign V274884 = V637834. assign V583162 = V133225. assign V282316 = V678683. assign V631960 = V843933 + 1. assign V026950 = V611203 - 1. assign V924818 = V071989. assign V279977 = V478273 + 1. assign V286986 = V765520 - 1. assign V490735 = V489234 + 1. assign V474165 = V789998 + 1. assign V843933 = V928063 + 1. assign V075826 = V888228 - 1. assign V108079 = V895748 + 1. assign V154967 = V415309 - 1. assign V917409 = V789998 - 1. assign V781220 = V495313 - 1. assign V729536 = V912100. assign V882613 = V877165. assign V506141 = V515222 + 1. assign V813164 = V515222. assign V601479 = V888228 - 1. assign V888228 = V515222 + 1. assign V175884 = V495313 + 1. assign V678683 = V813164. assign V212155 = V637834 - 1. assign V889991 = V096522. assign V596681 = V350076. assign V672603 = V350076. assign V433491 = V849278. assign V591032 = V282316 - 1. assign V410096 = V362533 + 1. assign V366404 = V133225. assign V252392 = V096522. assign V832569 = V872975 + 1. assign V048982 = V261188 + 1. assign V895748 = V096522. assign V729267 = V672603 + 1. assign V009037 = V489234. assign V804232 = V169464 - 1. assign V214942 = V888228 + 1. assign V342357 = V843933 + 1. assign V694835 = V888228 + 1. assign V329627 = V489234 - 1. assign V051436 = V832569 - 1. assign V748862 = V525098 - 1. assign V753163 = V056768 + 1. assign V779608 = V601479 - 1. assign V415322 = V048982. assign V798834 = 4. assign V514793 = V928063. assign V159380 = V559433 + 1. assign V559433 = V329627. assign V043460 = V843933 - 1. assign V746094 = V133225 + 1. assign V347464 = V940200. assign V056768 = V843933 - 1. assign V429850 = V355991. assign V781987 = V916132 - 1. assign V949677 = V798834 - 1. assign V386706 = V008802 + 1. assign V066244 = V888228. assign V718035 = V054419. assign V012577 = V854161 - 1. assign V940200 = V355991. assign V450703 = V254531 + 1. assign V581359 = V009037 - 1. assign V169464 = V044912 + 1. assign V850208 = V641899. assign V738012 = V056768. assign V752264 = V843933. assign V576062 = V675715 - 1. assign V849278 = V214697 - 1. assign V435400 = V781422 + 1. assign V754741 = V495087. assign V872975 = V044912 + 1. assign V495313 = V581359. assign V949529 = V366404 - 1. assign V789998 = V066244. assign V910545 = V093251. assign V727071 = V026950 + 1. assign V355991 = V904692. assign V093251 = V677041 - 1. assign V676081 = V882613 - 1. assign V054419 = V075826 + 1. assign V912100 = V789998 - 1. assign V648312 = V043460. assign V044912 = V877165 - 1. assign V095519 = V813164. assign V349242 = V450703 + 1. assign V802901 = V349242. assign V337724 = V274884 + 1. assign V277559 = V056768 - 1. assign V459808 = V366404. assign V678224 = V913563. assign V728156 = V009037 + 1. assign V970569 = V799325 + 1. assign V904692 = V054419 + 1. assign V765520 = V805034. assign V794314 = V637834. assign V492347 = V666285 + 1. assign V489234 = V928063 - 1. assign V478273 = V849278 - 1. assign V525098 = V350076. assign V261188 = V515222 + 1. assign V532698 = V474165. assign V148451 = V882613 - 1. assign V343309 = V362533 + 1. assign V945356 = V127302 + 1. assign V495087 = V254531 - 1. assign V666141 = V666285 + 1. assign V554561 = V666285 + 1. assign V859499 = V214697 - 1. assign V096522 = V066244 + 1. assign V037705 = V490735 + 1. assign V096805 = V271677 - 1. assign V677041 = V799325 + 1. assign V462439 = V641899 - 1. assign V958508 = V450703 + 1. assign V151071 = V789998. assign V838130 = V015330. assign V005563 = V554561 - 1. assign V314156 = V148396 + 1. assign V663809 = V462439 - 1. assign V626037 = V854161 + 1. assign V696932 = V590247 - 1. assign V590247 = V151071. assign V415309 = V765520. assign V015330 = V151071 - 1. assign V928063 = V888228 + 1. assign V180129 = V252392 + 1. assign V372859 = V015330 + 1. assign V799325 = V889991. assign V008802 = V813164 - 1. assign V127302 = V928063 - 1. assign V913563 = V054419. assign V087860 = V495087 - 1. assign V944151 = V888228 - 1. assign V781422 = V738012. assign V148396 = V474165 - 1. assign V562620 = V813164 - 1. assign V791955 = V450703. assign V916132 = V928063 - 1. assign V854161 = V666285 + 1. assign V894968 = V489234 - 1. assign V877165 = V214942. assign V228377 = V581359 - 1. assign V675715 = V214697 + 1. assign V350076 = V133225 - 1. assign V679266 = V342357 + 1. assign V129652 = V554561 + 1. assign V637834 = V350076 + 1. assign V805034 = V095519. assign V271677 = V791955 - 1. assign V362533 = V916132 - 1. assign V133225 = V515222. assign V244418 = V254531 - 1. assign V254531 = V066244 - 1. assign V666285 = V095519 + 1. assign V021515 = V362533. assign V885717 = V127302 + 1. assign V858762 = V274884. assign V645954 = V506141. assign V884777 = V490735. assign V071989 = V214942. assign V336261 = V641899 - 1. assign V201294 = V274884. assign V641899 = V515222 + 1. assign V214697 = V611203 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV798834 = 4;\n\nFrom these direct assignment(s), we have: \nV949677 = V798834 - 1 = 4 - 1 =3;\nNo other variables can be derived from V949677;\nNo other variables can be derived from V798834;\n\nNow we have done all the calculations. Derived variables are:\nV798834 = 4;\nV949677 = 3;\n\nNow we have finished this problem. ANSWER:\nV798834\n", "role": "assistant" } ]

[ "V079915" ]

[ { "content": "<context>\nassign V206464 = V944072 + 1. assign V183595 = V591684 + 1. assign V249228 = V729619. assign V657158 = V591414. assign V846861 = V684478 - 1. assign V278830 = V944072 + 1. assign V984078 = V419208 - 1. assign V296353 = V325426 - 1. assign V862550 = V816911 + 1. assign V848839 = V362341 + 1. assign V310495 = V692343 - 1. assign V469556 = V280915 - 1. assign V431100 = V244152 + 1. assign V417073 = V482767 - 1. assign V724509 = V959225 - 1. assign V816911 = V190748. assign V952414 = V296096 - 1. assign V314625 = V563053 - 1. assign V781230 = V984436. assign V607963 = V616481 + 1. assign V772746 = V840465 - 1. assign V321014 = V212751 + 1. assign V766402 = V815216. assign V394357 = V550561. assign V861790 = V190748 - 1. assign V532390 = V705975 - 1. assign V347808 = V237940 + 1. assign V391013 = V815216 + 1. assign V563053 = V278830. assign V312190 = V894726 - 1. assign V263043 = V310495 - 1. assign V406246 = V940189 + 1. assign V311306 = V096461. assign V901404 = V065987. assign V814280 = V278830 - 1. assign V539498 = V025940. assign V987088 = V944072. assign V270714 = V310495 + 1. assign V774090 = V219353 + 1. assign V749342 = V347808 - 1. assign V824208 = V000778. assign V705975 = V165444 + 1. assign V692343 = V591414 - 1. assign V327137 = V731816 - 1. assign V984436 = V485122 + 1. assign V507145 = V987088 - 1. assign V212751 = V403976 - 1. assign V471854 = V815216 + 1. assign V181493 = V567792 - 1. assign V576753 = V482767. assign V828355 = V527913 - 1. assign V138862 = V514922 - 1. assign V485122 = V325426 + 1. assign V340601 = V894726 + 1. assign V362644 = V940189 - 1. assign V482767 = V206464 + 1. assign V283862 = V772746 + 1. assign V730018 = V310495 + 1. assign V468011 = V278830 - 1. assign V550561 = V051235 - 1. assign V266634 = V327137. assign V923580 = V861790 + 1. assign V636907 = V311306 + 1. assign V894726 = V482767 - 1. assign V025940 = V754268. assign V680588 = V310495 - 1. assign V366181 = V391013 + 1. assign V961071 = V419646 + 1. assign V696119 = V842833 - 1. assign V259889 = V051235 + 1. assign V296096 = V563053 - 1. assign V079217 = V079915 - 1. assign V243548 = V048367 + 1. assign V000778 = V692343 + 1. assign V519675 = V766402 + 1. assign V865069 = V591414. assign V815216 = V267822. assign V165444 = V591414 + 1. assign V723679 = V219353 - 1. assign V650496 = V278830. assign V204643 = V267822 + 1. assign V683696 = V362644. assign V283395 = V979268. assign V201011 = V419646 + 1. assign V200044 = V680588 + 1. assign V944072 = V310495 + 1. assign V419646 = V692343 - 1. assign V370206 = V550561 + 1. assign V481809 = V259889. assign V591684 = V987088 + 1. assign V154908 = V370206 - 1. assign V419208 = V051235 + 1. assign V300639 = V651527 - 1. assign V606843 = V815884 + 1. assign V185936 = V550561 - 1. assign V935044 = V419208. assign V729619 = V984078 - 1. assign V190748 = V362341 - 1. assign V505718 = V730018. assign V890900 = V583196 - 1. assign V193150 = V237940 + 1. assign V091572 = V815884 + 1. assign V940189 = V278830 + 1. assign V228199 = V653447 - 1. assign V616481 = V815216. assign V403976 = V563053 + 1. assign V731995 = V944072. assign V436938 = V200044. assign V539488 = V133729 - 1. assign V222571 = V193150 + 1. assign V514922 = V731816 - 1. assign V219353 = V267822 + 1. assign V651527 = V124568 - 1. assign V732655 = V576753. assign V267822 = V840465 - 1. assign V481185 = V366181. assign V242200 = V840465 - 1. assign V647583 = V310495. assign V894781 = V890900. assign V810292 = V815216 + 1. assign V917395 = V940189 + 1. assign V960909 = V468011 - 1. assign V051235 = V692343. assign V583196 = V362644. assign V617721 = V138862 - 1. assign V684478 = V340601 + 1. assign V840235 = V165444 + 1. assign V282235 = V840465 - 1. assign V544850 = V828355. assign V840465 = V692343 + 1. assign V338411 = V193150. assign V096461 = V532390 + 1. assign V959225 = V527913 - 1. assign V567792 = V193150 + 1. assign V979268 = V766402 - 1. assign V731816 = V436437 - 1. assign V890235 = V370206. assign V485742 = V200044. assign V436437 = V731995 - 1. assign V577579 = V419208 - 1. assign V769642 = V507145 - 1. assign V456926 = V894726 - 1. assign V465877 = V051235 - 1. assign V196384 = V772746 + 1. assign V237940 = V840465 - 1. assign V244152 = V283862. assign V102646 = V507145 + 1. assign V325426 = V296096. assign V280915 = V485122 + 1. assign V124568 = V403976 + 1. assign V065987 = V653447 - 1. assign V754268 = V772746. assign V555095 = V237940. assign V685195 = V555095. assign V028215 = V731995 - 1. assign V048367 = V362341 + 1. assign V362341 = V840465. assign V775954 = V616481. assign V133729 = V310495 + 1. assign V113515 = V394357 + 1. assign V544017 = V544850 - 1. assign V778891 = V527913 - 1. assign V079915 = 0. assign V815884 = V815216. assign V527913 = V270714 - 1. assign V842833 = V244152. assign V653447 = V848839. assign V180600 = V723679 + 1. assign V811390 = V960909. assign V454498 = V527913 + 1. assign V285618 = V403976 + 1. assign V099580 = V310495 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V206464 = V944072 + 1. assign V183595 = V591684 + 1. assign V249228 = V729619. assign V657158 = V591414. assign V846861 = V684478 - 1. assign V278830 = V944072 + 1. assign V984078 = V419208 - 1. assign V296353 = V325426 - 1. assign V862550 = V816911 + 1. assign V848839 = V362341 + 1. assign V310495 = V692343 - 1. assign V469556 = V280915 - 1. assign V431100 = V244152 + 1. assign V417073 = V482767 - 1. assign V724509 = V959225 - 1. assign V816911 = V190748. assign V952414 = V296096 - 1. assign V314625 = V563053 - 1. assign V781230 = V984436. assign V607963 = V616481 + 1. assign V772746 = V840465 - 1. assign V321014 = V212751 + 1. assign V766402 = V815216. assign V394357 = V550561. assign V861790 = V190748 - 1. assign V532390 = V705975 - 1. assign V347808 = V237940 + 1. assign V391013 = V815216 + 1. assign V563053 = V278830. assign V312190 = V894726 - 1. assign V263043 = V310495 - 1. assign V406246 = V940189 + 1. assign V311306 = V096461. assign V901404 = V065987. assign V814280 = V278830 - 1. assign V539498 = V025940. assign V987088 = V944072. assign V270714 = V310495 + 1. assign V774090 = V219353 + 1. assign V749342 = V347808 - 1. assign V824208 = V000778. assign V705975 = V165444 + 1. assign V692343 = V591414 - 1. assign V327137 = V731816 - 1. assign V984436 = V485122 + 1. assign V507145 = V987088 - 1. assign V212751 = V403976 - 1. assign V471854 = V815216 + 1. assign V181493 = V567792 - 1. assign V576753 = V482767. assign V828355 = V527913 - 1. assign V138862 = V514922 - 1. assign V485122 = V325426 + 1. assign V340601 = V894726 + 1. assign V362644 = V940189 - 1. assign V482767 = V206464 + 1. assign V283862 = V772746 + 1. assign V730018 = V310495 + 1. assign V468011 = V278830 - 1. assign V550561 = V051235 - 1. assign V266634 = V327137. assign V923580 = V861790 + 1. assign V636907 = V311306 + 1. assign V894726 = V482767 - 1. assign V025940 = V754268. assign V680588 = V310495 - 1. assign V366181 = V391013 + 1. assign V961071 = V419646 + 1. assign V696119 = V842833 - 1. assign V259889 = V051235 + 1. assign V296096 = V563053 - 1. assign V079217 = V079915 - 1. assign V243548 = V048367 + 1. assign V000778 = V692343 + 1. assign V519675 = V766402 + 1. assign V865069 = V591414. assign V815216 = V267822. assign V165444 = V591414 + 1. assign V723679 = V219353 - 1. assign V650496 = V278830. assign V204643 = V267822 + 1. assign V683696 = V362644. assign V283395 = V979268. assign V201011 = V419646 + 1. assign V200044 = V680588 + 1. assign V944072 = V310495 + 1. assign V419646 = V692343 - 1. assign V370206 = V550561 + 1. assign V481809 = V259889. assign V591684 = V987088 + 1. assign V154908 = V370206 - 1. assign V419208 = V051235 + 1. assign V300639 = V651527 - 1. assign V606843 = V815884 + 1. assign V185936 = V550561 - 1. assign V935044 = V419208. assign V729619 = V984078 - 1. assign V190748 = V362341 - 1. assign V505718 = V730018. assign V890900 = V583196 - 1. assign V193150 = V237940 + 1. assign V091572 = V815884 + 1. assign V940189 = V278830 + 1. assign V228199 = V653447 - 1. assign V616481 = V815216. assign V403976 = V563053 + 1. assign V731995 = V944072. assign V436938 = V200044. assign V539488 = V133729 - 1. assign V222571 = V193150 + 1. assign V514922 = V731816 - 1. assign V219353 = V267822 + 1. assign V651527 = V124568 - 1. assign V732655 = V576753. assign V267822 = V840465 - 1. assign V481185 = V366181. assign V242200 = V840465 - 1. assign V647583 = V310495. assign V894781 = V890900. assign V810292 = V815216 + 1. assign V917395 = V940189 + 1. assign V960909 = V468011 - 1. assign V051235 = V692343. assign V583196 = V362644. assign V617721 = V138862 - 1. assign V684478 = V340601 + 1. assign V840235 = V165444 + 1. assign V282235 = V840465 - 1. assign V544850 = V828355. assign V840465 = V692343 + 1. assign V338411 = V193150. assign V096461 = V532390 + 1. assign V959225 = V527913 - 1. assign V567792 = V193150 + 1. assign V979268 = V766402 - 1. assign V731816 = V436437 - 1. assign V890235 = V370206. assign V485742 = V200044. assign V436437 = V731995 - 1. assign V577579 = V419208 - 1. assign V769642 = V507145 - 1. assign V456926 = V894726 - 1. assign V465877 = V051235 - 1. assign V196384 = V772746 + 1. assign V237940 = V840465 - 1. assign V244152 = V283862. assign V102646 = V507145 + 1. assign V325426 = V296096. assign V280915 = V485122 + 1. assign V124568 = V403976 + 1. assign V065987 = V653447 - 1. assign V754268 = V772746. assign V555095 = V237940. assign V685195 = V555095. assign V028215 = V731995 - 1. assign V048367 = V362341 + 1. assign V362341 = V840465. assign V775954 = V616481. assign V133729 = V310495 + 1. assign V113515 = V394357 + 1. assign V544017 = V544850 - 1. assign V778891 = V527913 - 1. assign V079915 = 0. assign V815884 = V815216. assign V527913 = V270714 - 1. assign V842833 = V244152. assign V653447 = V848839. assign V180600 = V723679 + 1. assign V811390 = V960909. assign V454498 = V527913 + 1. assign V285618 = V403976 + 1. assign V099580 = V310495 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV079915 = 0;\n\nFrom these direct assignment(s), we have: \nV079217 = V079915 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V079217;\nNo other variables can be derived from V079915;\n\nNow we have done all the calculations. Derived variables are:\nV079915 = 0;\nV079217 = -1;\n\nNow we have finished this problem. ANSWER:\nV079915\n", "role": "assistant" } ]

[ "V614969" ]

[ { "content": "<context>\nassign V833554 = V029232 - 1. assign V189366 = V941576 - 1. assign V809614 = V184931 - 1. assign V121954 = V326747. assign V449084 = V954327 - 1. assign V361266 = V613759 - 1. assign V463470 = V442906. assign V659623 = V705264 + 1. assign V045026 = V521306 + 1. assign V850976 = V361266 + 1. assign V536411 = V078286 + 1. assign V444314 = V521306 - 1. assign V529096 = V733825 - 1. assign V824096 = V478463 + 1. assign V880661 = V522793 + 1. assign V370037 = V286199 - 1. assign V691871 = V630324. assign V230890 = V823827 - 1. assign V268571 = V256446 + 1. assign V028989 = V522793 - 1. assign V455982 = V030169. assign V510807 = V960409. assign V960931 = V529096 - 1. assign V269757 = V445584 - 1. assign V456786 = V370037. assign V256446 = V445584. assign V419997 = V778141 - 1. assign V030169 = V630324 - 1. assign V521306 = V787978. assign V574129 = V614969 - 1. assign V807012 = V332017 + 1. assign V615838 = V438349 + 1. assign V054668 = V787978. assign V517108 = V540031. assign V255024 = V309803 + 1. assign V535403 = V522793. assign V828360 = V942147. assign V936674 = V328247 + 1. assign V029232 = V521306 + 1. assign V131103 = V573350 - 1. assign V823827 = V526349 + 1. assign V747781 = V242572 - 1. assign V512559 = V242572 + 1. assign V564181 = V538099 + 1. assign V969409 = V131103 - 1. assign V485892 = V733825 - 1. assign V286199 = V733825 - 1. assign V876418 = V956762. assign V184931 = V521306 - 1. assign V339398 = V719148 - 1. assign V701883 = V540031. assign V951149 = V309803. assign V153819 = V639379 + 1. assign V942147 = V444314 - 1. assign V614969 = 0. assign V960409 = V659444. assign V568329 = V141197. assign V871077 = V255024. assign V447726 = V444314 - 1. assign V659444 = V548211. assign V332017 = V941576. assign V630324 = V540031. assign V672882 = V447726. assign V989594 = V037491 - 1. assign V127392 = V723984 + 1. assign V633999 = V941576 - 1. assign V719148 = V954178 + 1. assign V144161 = V605794 + 1. assign V605794 = V773569 + 1. assign V479518 = V568509 - 1. assign V269246 = V141197 + 1. assign V538099 = V733825 - 1. assign V457450 = V508064. assign V746922 = V540031 - 1. assign V925162 = V540031 + 1. assign V155845 = V691871 + 1. assign V730312 = V828360 - 1. assign V133779 = V286199. assign V037491 = V315096. assign V578093 = V787978 - 1. assign V249038 = V444314 - 1. assign V733825 = V521306 - 1. assign V526349 = V733825. assign V613759 = V309803 + 1. assign V778141 = V508231 - 1. assign V406485 = V054668 + 1. assign V438349 = V522793. assign V627425 = V249038. assign V315096 = V613759 + 1. assign V540031 = V828360 + 1. assign V035328 = V457450. assign V723984 = V521306. assign V177212 = V733825. assign V676541 = V012173 + 1. assign V708508 = V141197 + 1. assign V027655 = V787978 - 1. assign V309803 = V723984 + 1. assign V404612 = V315096 - 1. assign V639379 = V054668 - 1. assign V456278 = V242572 + 1. assign V956762 = V613759 - 1. assign V887910 = V903482. assign V558918 = V705264 - 1. assign V526896 = V242572 - 1. assign V336975 = V269757. assign V788897 = V184931 - 1. assign V072326 = V045026. assign V967295 = V438349. assign V326747 = V730379 + 1. assign V593955 = V027655 + 1. assign V328247 = V603895. assign V765375 = V620294 - 1. assign V573350 = V144683. assign V705264 = V365089. assign V568509 = V054668 - 1. assign V156831 = V332017 - 1. assign V620294 = V177212. assign V730379 = V733825. assign V443811 = V823827. assign V819012 = V361266 - 1. assign V774417 = V445584 + 1. assign V378650 = V133779. assign V512667 = V956762 + 1. assign V773569 = V029232 - 1. assign V141197 = V774417. assign V615339 = V630324 + 1. assign V242572 = V787978. assign V385683 = V951149 + 1. assign V603895 = V809614. assign V144683 = V130322 + 1. assign V205002 = V406485 - 1. assign V711243 = V286199 - 1. assign V570204 = V730379 - 1. assign V069009 = V730379 + 1. assign V954327 = V578093. assign V514254 = V613759. assign V445584 = V951149 + 1. assign V520948 = V508231. assign V006695 = V512667 + 1. assign V954178 = V309803 + 1. assign V555953 = V444314 - 1. assign V078286 = V773569. assign V508231 = V522793. assign V222705 = V951149. assign V442906 = V951149. assign V042114 = V512667 + 1. assign V034629 = V361266 + 1. assign V012173 = V328247 - 1. assign V903482 = V255024 - 1. assign V460026 = V564181 + 1. assign V991944 = V568329. assign V522793 = V942147. assign V278342 = V361266. assign V699165 = V514254 + 1. assign V941576 = V508064 - 1. assign V231824 = V130322 + 1. assign V478463 = V339398 - 1. assign V365089 = V184931 - 1. assign V851610 = V444314 - 1. assign V130322 = V037491 + 1. assign V744289 = V522793. assign V502832 = V540031 + 1. assign V393028 = V828360 + 1. assign V853311 = V365089 + 1. assign V858834 = V951149 + 1. assign V813348 = V991944 + 1. assign V886197 = V880661 + 1. assign V039105 = V035328. assign V548211 = V954178 - 1. assign V508064 = V230890. assign V261829 = V613759 - 1. assign V456296 = V989594 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V833554 = V029232 - 1. assign V189366 = V941576 - 1. assign V809614 = V184931 - 1. assign V121954 = V326747. assign V449084 = V954327 - 1. assign V361266 = V613759 - 1. assign V463470 = V442906. assign V659623 = V705264 + 1. assign V045026 = V521306 + 1. assign V850976 = V361266 + 1. assign V536411 = V078286 + 1. assign V444314 = V521306 - 1. assign V529096 = V733825 - 1. assign V824096 = V478463 + 1. assign V880661 = V522793 + 1. assign V370037 = V286199 - 1. assign V691871 = V630324. assign V230890 = V823827 - 1. assign V268571 = V256446 + 1. assign V028989 = V522793 - 1. assign V455982 = V030169. assign V510807 = V960409. assign V960931 = V529096 - 1. assign V269757 = V445584 - 1. assign V456786 = V370037. assign V256446 = V445584. assign V419997 = V778141 - 1. assign V030169 = V630324 - 1. assign V521306 = V787978. assign V574129 = V614969 - 1. assign V807012 = V332017 + 1. assign V615838 = V438349 + 1. assign V054668 = V787978. assign V517108 = V540031. assign V255024 = V309803 + 1. assign V535403 = V522793. assign V828360 = V942147. assign V936674 = V328247 + 1. assign V029232 = V521306 + 1. assign V131103 = V573350 - 1. assign V823827 = V526349 + 1. assign V747781 = V242572 - 1. assign V512559 = V242572 + 1. assign V564181 = V538099 + 1. assign V969409 = V131103 - 1. assign V485892 = V733825 - 1. assign V286199 = V733825 - 1. assign V876418 = V956762. assign V184931 = V521306 - 1. assign V339398 = V719148 - 1. assign V701883 = V540031. assign V951149 = V309803. assign V153819 = V639379 + 1. assign V942147 = V444314 - 1. assign V614969 = 0. assign V960409 = V659444. assign V568329 = V141197. assign V871077 = V255024. assign V447726 = V444314 - 1. assign V659444 = V548211. assign V332017 = V941576. assign V630324 = V540031. assign V672882 = V447726. assign V989594 = V037491 - 1. assign V127392 = V723984 + 1. assign V633999 = V941576 - 1. assign V719148 = V954178 + 1. assign V144161 = V605794 + 1. assign V605794 = V773569 + 1. assign V479518 = V568509 - 1. assign V269246 = V141197 + 1. assign V538099 = V733825 - 1. assign V457450 = V508064. assign V746922 = V540031 - 1. assign V925162 = V540031 + 1. assign V155845 = V691871 + 1. assign V730312 = V828360 - 1. assign V133779 = V286199. assign V037491 = V315096. assign V578093 = V787978 - 1. assign V249038 = V444314 - 1. assign V733825 = V521306 - 1. assign V526349 = V733825. assign V613759 = V309803 + 1. assign V778141 = V508231 - 1. assign V406485 = V054668 + 1. assign V438349 = V522793. assign V627425 = V249038. assign V315096 = V613759 + 1. assign V540031 = V828360 + 1. assign V035328 = V457450. assign V723984 = V521306. assign V177212 = V733825. assign V676541 = V012173 + 1. assign V708508 = V141197 + 1. assign V027655 = V787978 - 1. assign V309803 = V723984 + 1. assign V404612 = V315096 - 1. assign V639379 = V054668 - 1. assign V456278 = V242572 + 1. assign V956762 = V613759 - 1. assign V887910 = V903482. assign V558918 = V705264 - 1. assign V526896 = V242572 - 1. assign V336975 = V269757. assign V788897 = V184931 - 1. assign V072326 = V045026. assign V967295 = V438349. assign V326747 = V730379 + 1. assign V593955 = V027655 + 1. assign V328247 = V603895. assign V765375 = V620294 - 1. assign V573350 = V144683. assign V705264 = V365089. assign V568509 = V054668 - 1. assign V156831 = V332017 - 1. assign V620294 = V177212. assign V730379 = V733825. assign V443811 = V823827. assign V819012 = V361266 - 1. assign V774417 = V445584 + 1. assign V378650 = V133779. assign V512667 = V956762 + 1. assign V773569 = V029232 - 1. assign V141197 = V774417. assign V615339 = V630324 + 1. assign V242572 = V787978. assign V385683 = V951149 + 1. assign V603895 = V809614. assign V144683 = V130322 + 1. assign V205002 = V406485 - 1. assign V711243 = V286199 - 1. assign V570204 = V730379 - 1. assign V069009 = V730379 + 1. assign V954327 = V578093. assign V514254 = V613759. assign V445584 = V951149 + 1. assign V520948 = V508231. assign V006695 = V512667 + 1. assign V954178 = V309803 + 1. assign V555953 = V444314 - 1. assign V078286 = V773569. assign V508231 = V522793. assign V222705 = V951149. assign V442906 = V951149. assign V042114 = V512667 + 1. assign V034629 = V361266 + 1. assign V012173 = V328247 - 1. assign V903482 = V255024 - 1. assign V460026 = V564181 + 1. assign V991944 = V568329. assign V522793 = V942147. assign V278342 = V361266. assign V699165 = V514254 + 1. assign V941576 = V508064 - 1. assign V231824 = V130322 + 1. assign V478463 = V339398 - 1. assign V365089 = V184931 - 1. assign V851610 = V444314 - 1. assign V130322 = V037491 + 1. assign V744289 = V522793. assign V502832 = V540031 + 1. assign V393028 = V828360 + 1. assign V853311 = V365089 + 1. assign V858834 = V951149 + 1. assign V813348 = V991944 + 1. assign V886197 = V880661 + 1. assign V039105 = V035328. assign V548211 = V954178 - 1. assign V508064 = V230890. assign V261829 = V613759 - 1. assign V456296 = V989594 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV614969 = 0;\n\nFrom these direct assignment(s), we have: \nV574129 = V614969 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V574129;\nNo other variables can be derived from V614969;\n\nNow we have done all the calculations. Derived variables are:\nV614969 = 0;\nV574129 = -1;\n\nNow we have finished this problem. ANSWER:\nV614969\n", "role": "assistant" } ]

[ "V718558" ]

[ { "content": "<context>\nassign V426477 = V285966. assign V609579 = V067311 + 1. assign V290359 = V897181 - 1. assign V356872 = V411040 - 1. assign V532866 = V515558 + 1. assign V474776 = V934904 + 1. assign V101744 = V450462 + 1. assign V770837 = V370119 - 1. assign V200545 = V534997 + 1. assign V153901 = V060722 + 1. assign V968712 = V785088 - 1. assign V092006 = V306757 - 1. assign V902803 = V698018 + 1. assign V493585 = V824543. assign V480112 = V324269 + 1. assign V946256 = V712474 - 1. assign V074087 = V306757. assign V639719 = V698018 + 1. assign V218969 = V695666. assign V190425 = V156568 - 1. assign V436039 = V060722. assign V122590 = V059757 - 1. assign V893774 = V534997. assign V156568 = V516985 + 1. assign V247358 = V200545. assign V174373 = V606367. assign V426209 = V919554 + 1. assign V036437 = V378928 - 1. assign V193282 = V685754 + 1. assign V151335 = V665187 + 1. assign V378928 = V127979 + 1. assign V849011 = V013851. assign V004479 = V712474 + 1. assign V366263 = V897181. assign V515558 = V785088. assign V203019 = V682612 - 1. assign V785088 = V195050. assign V229659 = V247358 - 1. assign V712474 = V224671. assign V698018 = V200545. assign V348471 = V280145 + 1. assign V454438 = V682612 - 1. assign V011566 = V229659 + 1. assign V852836 = V092006 + 1. assign V370119 = V281388 + 1. assign V195050 = V153901. assign V798984 = V200545 - 1. assign V845458 = V516985 - 1. assign V534997 = V560610. assign V025722 = V001779 - 1. assign V115604 = V436039. assign V536235 = V122590 - 1. assign V531309 = V661194 - 1. assign V718558 = 9. assign V469633 = V695666 + 1. assign V925779 = V285966 + 1. assign V013851 = V534997. assign V930649 = V712474 + 1. assign V285966 = V221296. assign V754262 = V436039 - 1. assign V501734 = V532866. assign V228767 = V682612 - 1. assign V665187 = V224671. assign V488675 = V218969 - 1. assign V467014 = V712474 + 1. assign V969278 = V836464 - 1. assign V260034 = V695666 - 1. assign V484023 = V972849. assign V700335 = V923755 - 1. assign V138454 = V376861 + 1. assign V818003 = V450462 + 1. assign V813864 = V348471. assign V957334 = V651895. assign V682612 = V534997 - 1. assign V494774 = V514608 + 1. assign V224671 = V060722 - 1. assign V862275 = V534997. assign V253745 = V426209 - 1. assign V466554 = V718558 + 1. assign V491278 = V195050 + 1. assign V001779 = V013851 + 1. assign V238915 = V436039 + 1. assign V450462 = V560610. assign V273519 = V798984. assign V341812 = V639719. assign V972849 = V930649. assign V698094 = V227378. assign V516985 = V145654. assign V607146 = V015595 + 1. assign V698400 = V494774 + 1. assign V854738 = V467014 - 1. assign V281388 = V228767. assign V685754 = V224671 - 1. assign V897181 = V682612 - 1. assign V145654 = V221296 - 1. assign V807853 = V151335 - 1. assign V306757 = V785088 - 1. assign V824543 = V902803 - 1. assign V140224 = V785088 + 1. assign V852259 = V206775. assign V514608 = V685754 - 1. assign V497021 = V395134 + 1. assign V024806 = V195050. assign V580889 = V818003 - 1. assign V601115 = V685754. assign V853979 = V580889 - 1. assign V067311 = V195050 - 1. assign V270079 = V467014 - 1. assign V661194 = V411040. assign V227378 = V923755 - 1. assign V919554 = V195050 - 1. assign V221433 = V469633 - 1. assign V376861 = V497021 - 1. assign V305369 = V845458 + 1. assign V394277 = V514608 + 1. assign V374260 = V454438 - 1. assign V161434 = V013851 + 1. assign V217500 = V059757. assign V243977 = V450462 + 1. assign V221296 = V450462. assign V442602 = V195050. assign V037218 = V356872 + 1. assign V566610 = V536235 - 1. assign V848680 = V532866. assign V667105 = V923755 - 1. assign V381638 = V494774 - 1. assign V411168 = V221296 + 1. assign V240981 = V661194 + 1. assign V229155 = V171300 + 1. assign V324269 = V534997. assign V206775 = V442602 - 1. assign V508820 = V845458 - 1. assign V280145 = V224671 - 1. assign V581018 = V682612 + 1. assign V704759 = V419192 + 1. assign V835507 = V925779. assign V529751 = V854738 + 1. assign V310784 = V491278 - 1. assign V256260 = V395134. assign V695666 = V450462 + 1. assign V897295 = V296726. assign V812821 = V661194 + 1. assign V560610 = V060722. assign V830867 = V067311 + 1. assign V142100 = V127979 - 1. assign V171300 = V153901. assign V391999 = V712474 - 1. assign V059757 = V324269 + 1. assign V984712 = V098252 + 1. assign V446086 = V651895 + 1. assign V296726 = V700335. assign V534800 = V442602. assign V597006 = V376861 + 1. assign V419192 = V092006. assign V154077 = V536235 - 1. assign V651895 = V534997 - 1. assign V015595 = V845458. assign V312597 = V391999 + 1. assign V836464 = V060722 - 1. assign V658681 = V501734 - 1. assign V127979 = V897181. assign V647303 = V324269 + 1. assign V339206 = V852836. assign V098252 = V532866. assign V511104 = V726920. assign V395134 = V897181 - 1. assign V934904 = V658681. assign V923755 = V200545 + 1. assign V726920 = V306757. assign V606367 = V534997. assign V475563 = V247358 - 1. assign V411040 = V667105 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V426477 = V285966. assign V609579 = V067311 + 1. assign V290359 = V897181 - 1. assign V356872 = V411040 - 1. assign V532866 = V515558 + 1. assign V474776 = V934904 + 1. assign V101744 = V450462 + 1. assign V770837 = V370119 - 1. assign V200545 = V534997 + 1. assign V153901 = V060722 + 1. assign V968712 = V785088 - 1. assign V092006 = V306757 - 1. assign V902803 = V698018 + 1. assign V493585 = V824543. assign V480112 = V324269 + 1. assign V946256 = V712474 - 1. assign V074087 = V306757. assign V639719 = V698018 + 1. assign V218969 = V695666. assign V190425 = V156568 - 1. assign V436039 = V060722. assign V122590 = V059757 - 1. assign V893774 = V534997. assign V156568 = V516985 + 1. assign V247358 = V200545. assign V174373 = V606367. assign V426209 = V919554 + 1. assign V036437 = V378928 - 1. assign V193282 = V685754 + 1. assign V151335 = V665187 + 1. assign V378928 = V127979 + 1. assign V849011 = V013851. assign V004479 = V712474 + 1. assign V366263 = V897181. assign V515558 = V785088. assign V203019 = V682612 - 1. assign V785088 = V195050. assign V229659 = V247358 - 1. assign V712474 = V224671. assign V698018 = V200545. assign V348471 = V280145 + 1. assign V454438 = V682612 - 1. assign V011566 = V229659 + 1. assign V852836 = V092006 + 1. assign V370119 = V281388 + 1. assign V195050 = V153901. assign V798984 = V200545 - 1. assign V845458 = V516985 - 1. assign V534997 = V560610. assign V025722 = V001779 - 1. assign V115604 = V436039. assign V536235 = V122590 - 1. assign V531309 = V661194 - 1. assign V718558 = 9. assign V469633 = V695666 + 1. assign V925779 = V285966 + 1. assign V013851 = V534997. assign V930649 = V712474 + 1. assign V285966 = V221296. assign V754262 = V436039 - 1. assign V501734 = V532866. assign V228767 = V682612 - 1. assign V665187 = V224671. assign V488675 = V218969 - 1. assign V467014 = V712474 + 1. assign V969278 = V836464 - 1. assign V260034 = V695666 - 1. assign V484023 = V972849. assign V700335 = V923755 - 1. assign V138454 = V376861 + 1. assign V818003 = V450462 + 1. assign V813864 = V348471. assign V957334 = V651895. assign V682612 = V534997 - 1. assign V494774 = V514608 + 1. assign V224671 = V060722 - 1. assign V862275 = V534997. assign V253745 = V426209 - 1. assign V466554 = V718558 + 1. assign V491278 = V195050 + 1. assign V001779 = V013851 + 1. assign V238915 = V436039 + 1. assign V450462 = V560610. assign V273519 = V798984. assign V341812 = V639719. assign V972849 = V930649. assign V698094 = V227378. assign V516985 = V145654. assign V607146 = V015595 + 1. assign V698400 = V494774 + 1. assign V854738 = V467014 - 1. assign V281388 = V228767. assign V685754 = V224671 - 1. assign V897181 = V682612 - 1. assign V145654 = V221296 - 1. assign V807853 = V151335 - 1. assign V306757 = V785088 - 1. assign V824543 = V902803 - 1. assign V140224 = V785088 + 1. assign V852259 = V206775. assign V514608 = V685754 - 1. assign V497021 = V395134 + 1. assign V024806 = V195050. assign V580889 = V818003 - 1. assign V601115 = V685754. assign V853979 = V580889 - 1. assign V067311 = V195050 - 1. assign V270079 = V467014 - 1. assign V661194 = V411040. assign V227378 = V923755 - 1. assign V919554 = V195050 - 1. assign V221433 = V469633 - 1. assign V376861 = V497021 - 1. assign V305369 = V845458 + 1. assign V394277 = V514608 + 1. assign V374260 = V454438 - 1. assign V161434 = V013851 + 1. assign V217500 = V059757. assign V243977 = V450462 + 1. assign V221296 = V450462. assign V442602 = V195050. assign V037218 = V356872 + 1. assign V566610 = V536235 - 1. assign V848680 = V532866. assign V667105 = V923755 - 1. assign V381638 = V494774 - 1. assign V411168 = V221296 + 1. assign V240981 = V661194 + 1. assign V229155 = V171300 + 1. assign V324269 = V534997. assign V206775 = V442602 - 1. assign V508820 = V845458 - 1. assign V280145 = V224671 - 1. assign V581018 = V682612 + 1. assign V704759 = V419192 + 1. assign V835507 = V925779. assign V529751 = V854738 + 1. assign V310784 = V491278 - 1. assign V256260 = V395134. assign V695666 = V450462 + 1. assign V897295 = V296726. assign V812821 = V661194 + 1. assign V560610 = V060722. assign V830867 = V067311 + 1. assign V142100 = V127979 - 1. assign V171300 = V153901. assign V391999 = V712474 - 1. assign V059757 = V324269 + 1. assign V984712 = V098252 + 1. assign V446086 = V651895 + 1. assign V296726 = V700335. assign V534800 = V442602. assign V597006 = V376861 + 1. assign V419192 = V092006. assign V154077 = V536235 - 1. assign V651895 = V534997 - 1. assign V015595 = V845458. assign V312597 = V391999 + 1. assign V836464 = V060722 - 1. assign V658681 = V501734 - 1. assign V127979 = V897181. assign V647303 = V324269 + 1. assign V339206 = V852836. assign V098252 = V532866. assign V511104 = V726920. assign V395134 = V897181 - 1. assign V934904 = V658681. assign V923755 = V200545 + 1. assign V726920 = V306757. assign V606367 = V534997. assign V475563 = V247358 - 1. assign V411040 = V667105 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV718558 = 9;\n\nFrom these direct assignment(s), we have: \nV466554 = V718558 + 1 = 9 + 1 =10;\nNo other variables can be derived from V466554;\nNo other variables can be derived from V718558;\n\nNow we have done all the calculations. Derived variables are:\nV718558 = 9;\nV466554 = 10;\n\nNow we have finished this problem. ANSWER:\nV718558\n", "role": "assistant" } ]

[ "V069006", "V472687" ]

[ { "content": "<context>\nassign V895963 = V381287. assign V543385 = V895963. assign V772228 = V640191 + 1. assign V365042 = V933538 + 1. assign V517926 = V463559 - 1. assign V102788 = V491934. assign V349591 = V623792 - 1. assign V575049 = V863426 - 1. assign V814129 = V649267 + 1. assign V918590 = V030506 + 1. assign V744432 = V429175. assign V061770 = V185282 + 1. assign V164107 = V580583 + 1. assign V967133 = V681081 - 1. assign V552745 = V001144 + 1. assign V963308 = V087498. assign V851481 = V028559. assign V195509 = V580894. assign V891289 = V500660 + 1. assign V390769 = V623792 - 1. assign V703514 = V014211 - 1. assign V979853 = V649267. assign V012524 = V898920 + 1. assign V510585 = V429175 - 1. assign V032538 = V721946. assign V456105 = V481718 + 1. assign V728168 = V863426. assign V030506 = V623792 + 1. assign V580583 = V001909 - 1. assign V446192 = V649267. assign V684090 = V475618 + 1. assign V776321 = V511519. assign V753818 = V943084 + 1. assign V432021 = V097346. assign V721946 = V031032 - 1. assign V601951 = V967133. assign V984777 = V949389 + 1. assign V712657 = V814129 + 1. assign V640910 = V728168. assign V262226 = V580894 - 1. assign V392366 = V349591 - 1. assign V227834 = V429175 + 1. assign V828997 = V543291 + 1. assign V943084 = V949389. assign V463559 = V792127 - 1. assign V028559 = V560116. assign V130098 = V045911 - 1. assign V794064 = V087498 + 1. assign V927481 = V227834. assign V640191 = V649267 + 1. assign V271587 = V142623. assign V933538 = V744432 - 1. assign V288371 = V851804. assign V960394 = V392366 + 1. assign V768935 = V105750. assign V391966 = V475618 + 1. assign V130260 = V979853. assign V326996 = V485000 - 1. assign V979795 = V863426 + 1. assign V584785 = V623792 - 1. assign V816065 = V349591. assign V934330 = V142623 - 1. assign V897698 = V867705. assign V001144 = V728168 - 1. assign V377771 = V413341 - 1. assign V580894 = V792127. assign V529927 = V052274 - 1. assign V215948 = V262226 + 1. assign V543291 = V601951. assign V295737 = V949389 + 1. assign V482758 = V640191 + 1. assign V898920 = V943084. assign V481718 = V045911. assign V623792 = V863426. assign V758104 = V365042 + 1. assign V478555 = V580894. assign V767455 = V001144 - 1. assign V169959 = V818081 - 1. assign V539987 = V640910. assign V870447 = V792953 + 1. assign V185282 = V446192. assign V381287 = V169959. assign V331052 = V649267 + 1. assign V220184 = V377771 - 1. assign V605164 = V737316 - 1. assign V731508 = V511519 - 1. assign V733138 = V728168. assign V078175 = V061770 + 1. assign V672705 = V623792 - 1. assign V475618 = V640191 + 1. assign V502096 = V623792 - 1. assign V485000 = V220184. assign V173929 = V142623. assign V412361 = V640910. assign V472687 = V069006. assign V037831 = V539987. assign V529235 = V934330. assign V036903 = V768935 + 1. assign V045911 = V271587. assign V001909 = V728168 - 1. assign V949389 = V478555 - 1. assign V561844 = V511519 + 1. assign V218912 = V517926 + 1. assign V889433 = V052274. assign V423345 = V412361 + 1. assign V069006 = 10. assign V670561 = V728168 - 1. assign V413341 = V670561 - 1. assign V051170 = V584785. assign V649267 = V623792 - 1. assign V737316 = V001909 + 1. assign V098470 = V001144. assign V105750 = V776321 + 1. assign V454464 = V672705 - 1. assign V087498 = V001909 + 1. assign V597701 = V001144. assign V491934 = V863426 + 1. assign V336358 = V737316. assign V052274 = V390769 + 1. assign V478469 = V792127 - 1. assign V095749 = V255670. assign V511519 = V792127 - 1. assign V446550 = V517926 - 1. assign V711763 = V712657 + 1. assign V961068 = V641944 - 1. assign V416405 = V255670. assign V490703 = V814129 + 1. assign V030481 = V032538 + 1. assign V295303 = V720798. assign V429175 = V934330 + 1. assign V255670 = V640191 + 1. assign V115414 = V227834 - 1. assign V867705 = V649267 - 1. assign V818081 = V623792. assign V820642 = V030506. assign V142623 = V392366. assign V260882 = V377771 - 1. assign V720798 = V768935 + 1. assign V097346 = V967133. assign V568953 = V481718. assign V472302 = V491934 - 1. assign V681081 = V943084. assign V288193 = V475618. assign V089846 = V867705 - 1. assign V081529 = V390769 - 1. assign V851804 = V863426 - 1. assign V641944 = V814129 - 1. assign V022393 = V560116 - 1. assign V560116 = V478555 - 1. assign V523193 = V390769 - 1. assign V500660 = V456105 + 1. assign V068529 = V511519 - 1. assign V178332 = V014211 + 1. assign V476587 = V584785 + 1. assign V890915 = V560116 + 1. assign V792127 = V863426. assign V616216 = V814129 + 1. assign V031032 = V001144 - 1. assign V959438 = V597701. assign V732105 = V045911 + 1. assign V981924 = V640910. assign V764444 = V052274 - 1. assign V704557 = V984777. assign V368944 = V949389 - 1. assign V014211 = V478555 - 1. assign V078882 = V463559 + 1. assign V911808 = V863426 - 1. assign V792953 = V933538 + 1. assign V160340 = V851804 - 1. assign V308337 = V641944 + 1. assign V532366 = V960394 - 1. assign V620033 = V712657 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V895963 = V381287. assign V543385 = V895963. assign V772228 = V640191 + 1. assign V365042 = V933538 + 1. assign V517926 = V463559 - 1. assign V102788 = V491934. assign V349591 = V623792 - 1. assign V575049 = V863426 - 1. assign V814129 = V649267 + 1. assign V918590 = V030506 + 1. assign V744432 = V429175. assign V061770 = V185282 + 1. assign V164107 = V580583 + 1. assign V967133 = V681081 - 1. assign V552745 = V001144 + 1. assign V963308 = V087498. assign V851481 = V028559. assign V195509 = V580894. assign V891289 = V500660 + 1. assign V390769 = V623792 - 1. assign V703514 = V014211 - 1. assign V979853 = V649267. assign V012524 = V898920 + 1. assign V510585 = V429175 - 1. assign V032538 = V721946. assign V456105 = V481718 + 1. assign V728168 = V863426. assign V030506 = V623792 + 1. assign V580583 = V001909 - 1. assign V446192 = V649267. assign V684090 = V475618 + 1. assign V776321 = V511519. assign V753818 = V943084 + 1. assign V432021 = V097346. assign V721946 = V031032 - 1. assign V601951 = V967133. assign V984777 = V949389 + 1. assign V712657 = V814129 + 1. assign V640910 = V728168. assign V262226 = V580894 - 1. assign V392366 = V349591 - 1. assign V227834 = V429175 + 1. assign V828997 = V543291 + 1. assign V943084 = V949389. assign V463559 = V792127 - 1. assign V028559 = V560116. assign V130098 = V045911 - 1. assign V794064 = V087498 + 1. assign V927481 = V227834. assign V640191 = V649267 + 1. assign V271587 = V142623. assign V933538 = V744432 - 1. assign V288371 = V851804. assign V960394 = V392366 + 1. assign V768935 = V105750. assign V391966 = V475618 + 1. assign V130260 = V979853. assign V326996 = V485000 - 1. assign V979795 = V863426 + 1. assign V584785 = V623792 - 1. assign V816065 = V349591. assign V934330 = V142623 - 1. assign V897698 = V867705. assign V001144 = V728168 - 1. assign V377771 = V413341 - 1. assign V580894 = V792127. assign V529927 = V052274 - 1. assign V215948 = V262226 + 1. assign V543291 = V601951. assign V295737 = V949389 + 1. assign V482758 = V640191 + 1. assign V898920 = V943084. assign V481718 = V045911. assign V623792 = V863426. assign V758104 = V365042 + 1. assign V478555 = V580894. assign V767455 = V001144 - 1. assign V169959 = V818081 - 1. assign V539987 = V640910. assign V870447 = V792953 + 1. assign V185282 = V446192. assign V381287 = V169959. assign V331052 = V649267 + 1. assign V220184 = V377771 - 1. assign V605164 = V737316 - 1. assign V731508 = V511519 - 1. assign V733138 = V728168. assign V078175 = V061770 + 1. assign V672705 = V623792 - 1. assign V475618 = V640191 + 1. assign V502096 = V623792 - 1. assign V485000 = V220184. assign V173929 = V142623. assign V412361 = V640910. assign V472687 = V069006. assign V037831 = V539987. assign V529235 = V934330. assign V036903 = V768935 + 1. assign V045911 = V271587. assign V001909 = V728168 - 1. assign V949389 = V478555 - 1. assign V561844 = V511519 + 1. assign V218912 = V517926 + 1. assign V889433 = V052274. assign V423345 = V412361 + 1. assign V069006 = 10. assign V670561 = V728168 - 1. assign V413341 = V670561 - 1. assign V051170 = V584785. assign V649267 = V623792 - 1. assign V737316 = V001909 + 1. assign V098470 = V001144. assign V105750 = V776321 + 1. assign V454464 = V672705 - 1. assign V087498 = V001909 + 1. assign V597701 = V001144. assign V491934 = V863426 + 1. assign V336358 = V737316. assign V052274 = V390769 + 1. assign V478469 = V792127 - 1. assign V095749 = V255670. assign V511519 = V792127 - 1. assign V446550 = V517926 - 1. assign V711763 = V712657 + 1. assign V961068 = V641944 - 1. assign V416405 = V255670. assign V490703 = V814129 + 1. assign V030481 = V032538 + 1. assign V295303 = V720798. assign V429175 = V934330 + 1. assign V255670 = V640191 + 1. assign V115414 = V227834 - 1. assign V867705 = V649267 - 1. assign V818081 = V623792. assign V820642 = V030506. assign V142623 = V392366. assign V260882 = V377771 - 1. assign V720798 = V768935 + 1. assign V097346 = V967133. assign V568953 = V481718. assign V472302 = V491934 - 1. assign V681081 = V943084. assign V288193 = V475618. assign V089846 = V867705 - 1. assign V081529 = V390769 - 1. assign V851804 = V863426 - 1. assign V641944 = V814129 - 1. assign V022393 = V560116 - 1. assign V560116 = V478555 - 1. assign V523193 = V390769 - 1. assign V500660 = V456105 + 1. assign V068529 = V511519 - 1. assign V178332 = V014211 + 1. assign V476587 = V584785 + 1. assign V890915 = V560116 + 1. assign V792127 = V863426. assign V616216 = V814129 + 1. assign V031032 = V001144 - 1. assign V959438 = V597701. assign V732105 = V045911 + 1. assign V981924 = V640910. assign V764444 = V052274 - 1. assign V704557 = V984777. assign V368944 = V949389 - 1. assign V014211 = V478555 - 1. assign V078882 = V463559 + 1. assign V911808 = V863426 - 1. assign V792953 = V933538 + 1. assign V160340 = V851804 - 1. assign V308337 = V641944 + 1. assign V532366 = V960394 - 1. assign V620033 = V712657 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV069006 = 10;\n\nFrom these direct assignment(s), we have: \nV472687 = V069006 = 10;\nNo other variables can be derived from V472687;\nNo other variables can be derived from V069006;\n\nNow we have done all the calculations. Derived variables are:\nV069006 = 10;\nV472687 = 10;\n\nNow we have finished this problem. ANSWER:\nV069006, V472687\n", "role": "assistant" } ]

[ "V622909" ]

[ { "content": "<context>\nassign V469096 = V757681 - 1. assign V062286 = V036174 + 1. assign V923421 = V895241 + 1. assign V900465 = V864293 + 1. assign V459923 = V477759 + 1. assign V879177 = V782257 - 1. assign V935491 = V896978 - 1. assign V455695 = V389285. assign V743149 = V744777 - 1. assign V401137 = V874687. assign V708973 = V199625 + 1. assign V173768 = V541475 + 1. assign V590346 = V757681. assign V192944 = V390895. assign V067035 = V895241 - 1. assign V199625 = V895241. assign V723461 = V744777 - 1. assign V299398 = V433741 - 1. assign V595693 = V040150. assign V555331 = V380930 + 1. assign V716075 = V895241 + 1. assign V314656 = V898457. assign V028706 = V627738. assign V990379 = V325246 + 1. assign V177914 = V199625 - 1. assign V301605 = V569338. assign V872222 = V987181 + 1. assign V040150 = V653369. assign V317405 = V626932 - 1. assign V114142 = V627738. assign V861093 = V648161 + 1. assign V433741 = V469096 - 1. assign V198360 = V809913 + 1. assign V669147 = V199625 + 1. assign V495351 = V541475 + 1. assign V079939 = V555331 - 1. assign V390895 = V092306 + 1. assign V830123 = V905431 + 1. assign V584993 = V830109 + 1. assign V477759 = V529465 - 1. assign V380930 = V921122 - 1. assign V092306 = V455280 - 1. assign V567111 = V043521 + 1. assign V754234 = V079939 - 1. assign V476062 = V455978 - 1. assign V627738 = V177914 - 1. assign V692250 = V918365. assign V352516 = V375147 + 1. assign V904669 = V273050. assign V666997 = V340608 + 1. assign V325246 = V921122 - 1. assign V719972 = V896978 - 1. assign V535106 = V898457. assign V043521 = V401137 + 1. assign V902325 = V717846 + 1. assign V269928 = V864293. assign V319612 = V830109. assign V830109 = V905431 - 1. assign V092003 = V269928 + 1. assign V774869 = V368715 + 1. assign V666535 = V186597 + 1. assign V622909 = 7. assign V809913 = V273050. assign V463065 = V480962. assign V548336 = V036174 - 1. assign V281138 = V718111 + 1. assign V105133 = V469096. assign V783433 = V921122. assign V718111 = V905431 + 1. assign V896978 = V529465 - 1. assign V516385 = V898457 - 1. assign V864293 = V040150 - 1. assign V921122 = V653369 + 1. assign V230519 = V301605. assign V052863 = V861093 - 1. assign V858087 = V595693 + 1. assign V085115 = V535106 + 1. assign V256058 = V541475 - 1. assign V340608 = V921122 + 1. assign V036174 = V040150. assign V533123 = V392669. assign V744777 = V380930 - 1. assign V426930 = V723461 - 1. assign V600017 = V864293 + 1. assign V184312 = V105133 + 1. assign V782257 = V595196. assign V392669 = V595693 - 1. assign V813741 = V959683. assign V541475 = V921122 - 1. assign V717846 = V392669 - 1. assign V278209 = V627738 - 1. assign V870740 = V718111 - 1. assign V703323 = V718111. assign V874687 = V559750 + 1. assign V205075 = V293137 - 1. assign V932163 = V717846 + 1. assign V595196 = V918365. assign V991620 = V708973. assign V619383 = V183719. assign V013069 = V140601 + 1. assign V918365 = V905431 - 1. assign V970043 = V708973. assign V529465 = V653369 - 1. assign V293210 = V199625 + 1. assign V368715 = V959683. assign V962826 = V757681. assign V144928 = V627738. assign V948978 = V067035. assign V696455 = V340608 + 1. assign V186597 = V885302 - 1. assign V072804 = V743685 - 1. assign V183719 = V744777. assign V788241 = V584993. assign V969154 = V896978 - 1. assign V173308 = V325246 + 1. assign V143489 = V902325 - 1. assign V626932 = V653369. assign V905431 = V921122 + 1. assign V569338 = V529465 + 1. assign V855850 = V062286 - 1. assign V570441 = V783433 - 1. assign V307778 = V368715. assign V365738 = V469096 + 1. assign V375147 = V541475. assign V244363 = V858087 + 1. assign V743685 = V368715 - 1. assign V266326 = V375147. assign V893331 = V754234. assign V455280 = V273050 - 1. assign V480962 = V830123. assign V559750 = V555331. assign V145784 = V765086. assign V786676 = V830109 - 1. assign V885302 = V959683. assign V273050 = V959683. assign V736023 = V173308 + 1. assign V807349 = V898785 - 1. assign V104341 = V918365 - 1. assign V987181 = V105133. assign V757681 = V199625. assign V341064 = V043521 + 1. assign V197292 = V354965 - 1. assign V648161 = V477759. assign V034112 = V717846 - 1. assign V765086 = V653369 - 1. assign V814573 = V595196 - 1. assign V806834 = V921122 - 1. assign V790894 = V783433 - 1. assign V697509 = V935491 + 1. assign V898457 = V273050. assign V575975 = V469096 + 1. assign V455978 = V281138 - 1. assign V673440 = V067035 - 1. assign V821091 = V622909 + 1. assign V777905 = V813741. assign V615947 = V595693 + 1. assign V443602 = V874687 - 1. assign V898785 = V177914. assign V389285 = V744777 + 1. assign V936235 = V898457 + 1. assign V140601 = V970043 - 1. assign V835875 = V173768. assign V895241 = V529465 - 1. assign V959683 = V864293 + 1. assign V354965 = V559750. assign V999113 = V569338 - 1. assign V622638 = V895241 + 1. assign V116441 = V541475. assign V040066 = V183719 + 1. assign V264768 = V293137 + 1. assign V293137 = V177914 - 1. assign V414623 = V040150 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V469096 = V757681 - 1. assign V062286 = V036174 + 1. assign V923421 = V895241 + 1. assign V900465 = V864293 + 1. assign V459923 = V477759 + 1. assign V879177 = V782257 - 1. assign V935491 = V896978 - 1. assign V455695 = V389285. assign V743149 = V744777 - 1. assign V401137 = V874687. assign V708973 = V199625 + 1. assign V173768 = V541475 + 1. assign V590346 = V757681. assign V192944 = V390895. assign V067035 = V895241 - 1. assign V199625 = V895241. assign V723461 = V744777 - 1. assign V299398 = V433741 - 1. assign V595693 = V040150. assign V555331 = V380930 + 1. assign V716075 = V895241 + 1. assign V314656 = V898457. assign V028706 = V627738. assign V990379 = V325246 + 1. assign V177914 = V199625 - 1. assign V301605 = V569338. assign V872222 = V987181 + 1. assign V040150 = V653369. assign V317405 = V626932 - 1. assign V114142 = V627738. assign V861093 = V648161 + 1. assign V433741 = V469096 - 1. assign V198360 = V809913 + 1. assign V669147 = V199625 + 1. assign V495351 = V541475 + 1. assign V079939 = V555331 - 1. assign V390895 = V092306 + 1. assign V830123 = V905431 + 1. assign V584993 = V830109 + 1. assign V477759 = V529465 - 1. assign V380930 = V921122 - 1. assign V092306 = V455280 - 1. assign V567111 = V043521 + 1. assign V754234 = V079939 - 1. assign V476062 = V455978 - 1. assign V627738 = V177914 - 1. assign V692250 = V918365. assign V352516 = V375147 + 1. assign V904669 = V273050. assign V666997 = V340608 + 1. assign V325246 = V921122 - 1. assign V719972 = V896978 - 1. assign V535106 = V898457. assign V043521 = V401137 + 1. assign V902325 = V717846 + 1. assign V269928 = V864293. assign V319612 = V830109. assign V830109 = V905431 - 1. assign V092003 = V269928 + 1. assign V774869 = V368715 + 1. assign V666535 = V186597 + 1. assign V622909 = 7. assign V809913 = V273050. assign V463065 = V480962. assign V548336 = V036174 - 1. assign V281138 = V718111 + 1. assign V105133 = V469096. assign V783433 = V921122. assign V718111 = V905431 + 1. assign V896978 = V529465 - 1. assign V516385 = V898457 - 1. assign V864293 = V040150 - 1. assign V921122 = V653369 + 1. assign V230519 = V301605. assign V052863 = V861093 - 1. assign V858087 = V595693 + 1. assign V085115 = V535106 + 1. assign V256058 = V541475 - 1. assign V340608 = V921122 + 1. assign V036174 = V040150. assign V533123 = V392669. assign V744777 = V380930 - 1. assign V426930 = V723461 - 1. assign V600017 = V864293 + 1. assign V184312 = V105133 + 1. assign V782257 = V595196. assign V392669 = V595693 - 1. assign V813741 = V959683. assign V541475 = V921122 - 1. assign V717846 = V392669 - 1. assign V278209 = V627738 - 1. assign V870740 = V718111 - 1. assign V703323 = V718111. assign V874687 = V559750 + 1. assign V205075 = V293137 - 1. assign V932163 = V717846 + 1. assign V595196 = V918365. assign V991620 = V708973. assign V619383 = V183719. assign V013069 = V140601 + 1. assign V918365 = V905431 - 1. assign V970043 = V708973. assign V529465 = V653369 - 1. assign V293210 = V199625 + 1. assign V368715 = V959683. assign V962826 = V757681. assign V144928 = V627738. assign V948978 = V067035. assign V696455 = V340608 + 1. assign V186597 = V885302 - 1. assign V072804 = V743685 - 1. assign V183719 = V744777. assign V788241 = V584993. assign V969154 = V896978 - 1. assign V173308 = V325246 + 1. assign V143489 = V902325 - 1. assign V626932 = V653369. assign V905431 = V921122 + 1. assign V569338 = V529465 + 1. assign V855850 = V062286 - 1. assign V570441 = V783433 - 1. assign V307778 = V368715. assign V365738 = V469096 + 1. assign V375147 = V541475. assign V244363 = V858087 + 1. assign V743685 = V368715 - 1. assign V266326 = V375147. assign V893331 = V754234. assign V455280 = V273050 - 1. assign V480962 = V830123. assign V559750 = V555331. assign V145784 = V765086. assign V786676 = V830109 - 1. assign V885302 = V959683. assign V273050 = V959683. assign V736023 = V173308 + 1. assign V807349 = V898785 - 1. assign V104341 = V918365 - 1. assign V987181 = V105133. assign V757681 = V199625. assign V341064 = V043521 + 1. assign V197292 = V354965 - 1. assign V648161 = V477759. assign V034112 = V717846 - 1. assign V765086 = V653369 - 1. assign V814573 = V595196 - 1. assign V806834 = V921122 - 1. assign V790894 = V783433 - 1. assign V697509 = V935491 + 1. assign V898457 = V273050. assign V575975 = V469096 + 1. assign V455978 = V281138 - 1. assign V673440 = V067035 - 1. assign V821091 = V622909 + 1. assign V777905 = V813741. assign V615947 = V595693 + 1. assign V443602 = V874687 - 1. assign V898785 = V177914. assign V389285 = V744777 + 1. assign V936235 = V898457 + 1. assign V140601 = V970043 - 1. assign V835875 = V173768. assign V895241 = V529465 - 1. assign V959683 = V864293 + 1. assign V354965 = V559750. assign V999113 = V569338 - 1. assign V622638 = V895241 + 1. assign V116441 = V541475. assign V040066 = V183719 + 1. assign V264768 = V293137 + 1. assign V293137 = V177914 - 1. assign V414623 = V040150 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV622909 = 7;\n\nFrom these direct assignment(s), we have: \nV821091 = V622909 + 1 = 7 + 1 =8;\nNo other variables can be derived from V821091;\nNo other variables can be derived from V622909;\n\nNow we have done all the calculations. Derived variables are:\nV622909 = 7;\nV821091 = 8;\n\nNow we have finished this problem. ANSWER:\nV622909\n", "role": "assistant" } ]

[ "V695759", "V115807" ]

[ { "content": "<context>\nassign V063315 = V117890 - 1. assign V144075 = V130898 - 1. assign V170187 = V414330 - 1. assign V041441 = V569149 - 1. assign V115807 = V695759. assign V912398 = V412040 + 1. assign V074443 = V951199. assign V138245 = V082332 + 1. assign V810451 = V588929. assign V751285 = V574141. assign V596849 = V057215. assign V558689 = V190688 + 1. assign V392716 = V873762 - 1. assign V190688 = V225479 - 1. assign V893216 = V092781 + 1. assign V976585 = V055906. assign V461396 = V976253 + 1. assign V599929 = V055906. assign V627265 = V092309. assign V130898 = V872491 - 1. assign V197310 = V085955 + 1. assign V987110 = V057215 - 1. assign V783615 = V569149 - 1. assign V900143 = V051442 - 1. assign V404102 = V627265 + 1. assign V309067 = V688612. assign V061109 = V058307. assign V732986 = V338172 + 1. assign V309414 = V688612 + 1. assign V537491 = V225479 + 1. assign V392420 = V051442 + 1. assign V713892 = V117890. assign V327244 = V656931. assign V707740 = V460622 + 1. assign V282522 = V101132. assign V404819 = V837611 - 1. assign V563867 = V475467 - 1. assign V470726 = V092309 + 1. assign V696425 = V259060. assign V547804 = V082332 + 1. assign V225479 = V085955 - 1. assign V057215 = V025560 - 1. assign V051442 = V976253 + 1. assign V341537 = V707740. assign V949124 = V352207. assign V510475 = V091579 + 1. assign V681432 = V267914 - 1. assign V057814 = V431008 + 1. assign V101132 = V558689. assign V227618 = V361194. assign V421928 = V713892 - 1. assign V498511 = V170187 - 1. assign V328459 = V035540 + 1. assign V936236 = V117890 + 1. assign V512939 = V051442. assign V658459 = V051442 - 1. assign V091579 = V986994 - 1. assign V704877 = V447636 + 1. assign V389365 = V549198 - 1. assign V267914 = V117890 - 1. assign V982990 = V190688 - 1. assign V475467 = V092309 + 1. assign V444328 = V025742. assign V880075 = V063315 + 1. assign V452929 = V549198 - 1. assign V491638 = V980537. assign V242628 = V328459 - 1. assign V549198 = V361194. assign V976253 = V092309 + 1. assign V361627 = V035540 + 1. assign V440086 = V225479 - 1. assign V163125 = V023535. assign V427849 = V063315 + 1. assign V068110 = V338172 + 1. assign V030600 = V197310 - 1. assign V430097 = V431008 + 1. assign V187763 = V051442 - 1. assign V460622 = V267914. assign V416877 = V604205 + 1. assign V424097 = V596849 + 1. assign V196193 = V547804 - 1. assign V328444 = V475467. assign V158929 = V736751. assign V919411 = V558689 + 1. assign V191430 = V872491 + 1. assign V604205 = V547804. assign V646149 = V790046 - 1. assign V092781 = V512939 + 1. assign V112380 = V498511 - 1. assign V755537 = V092309 - 1. assign V082332 = V688612 - 1. assign V412040 = V656931 - 1. assign V427443 = V259060. assign V074242 = V138245. assign V736751 = V414330 - 1. assign V574141 = V392716 + 1. assign V745587 = V039232 + 1. assign V463728 = V404102. assign V337409 = V588929. assign V790046 = V873762 - 1. assign V361194 = V025742 + 1. assign V588929 = V696425 - 1. assign V481060 = V352207 - 1. assign V431008 = V555746 + 1. assign V299924 = V656931 + 1. assign V801473 = V810451 + 1. assign V596755 = V790046 + 1. assign V085955 = V117890 + 1. assign V695759 = 9. assign V117890 = V092309. assign V025742 = V555746 + 1. assign V569149 = V627265 + 1. assign V297418 = V547804 - 1. assign V612747 = V225479 - 1. assign V105926 = V225479 + 1. assign V447636 = V558689 - 1. assign V957877 = V412040 + 1. assign V288151 = V105926 + 1. assign V986994 = V976253. assign V731861 = V460622 + 1. assign V278571 = V085955. assign V596603 = V288151 - 1. assign V200050 = V949124 + 1. assign V322710 = V980537 - 1. assign V524949 = V338172 - 1. assign V013581 = V627265. assign V276399 = V039232. assign V632505 = V057215 + 1. assign V435288 = V170187. assign V032466 = V569149. assign V837611 = V035540. assign V338172 = V475467. assign V403179 = V681432. assign V217215 = V713892. assign V962356 = V414330. assign V946229 = V421928 - 1. assign V757544 = V569149 - 1. assign V555746 = V475467. assign V058307 = V893216. assign V259060 = V057215. assign V872404 = V404102. assign V542710 = V035540 + 1. assign V708222 = V951199. assign V653853 = V987110 + 1. assign V414330 = V713892 + 1. assign V656931 = V463728 + 1. assign V352207 = V524949. assign V437998 = V976253. assign V728746 = V688612 + 1. assign V055906 = V030600 - 1. assign V873762 = V092309. assign V025560 = V475467 - 1. assign V925027 = V951199 - 1. assign V321738 = V757544. assign V980537 = V681432 + 1. assign V872491 = V524949. assign V023535 = V986994 - 1. assign V994744 = V217215 + 1. assign V929530 = V259060 - 1. assign V951199 = V547804 + 1. assign V736490 = V745587 - 1. assign V849475 = V341537 + 1. assign V964830 = V170187 + 1. assign V192451 = V498511 + 1. assign V018104 = V051442. assign V821908 = V547804 + 1. assign V688612 = V085955 - 1. assign V400459 = V728746 + 1. assign V039232 = V082332. assign V534881 = V414330. assign V035540 = V475467 + 1. assign V637941 = V957877 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V063315 = V117890 - 1. assign V144075 = V130898 - 1. assign V170187 = V414330 - 1. assign V041441 = V569149 - 1. assign V115807 = V695759. assign V912398 = V412040 + 1. assign V074443 = V951199. assign V138245 = V082332 + 1. assign V810451 = V588929. assign V751285 = V574141. assign V596849 = V057215. assign V558689 = V190688 + 1. assign V392716 = V873762 - 1. assign V190688 = V225479 - 1. assign V893216 = V092781 + 1. assign V976585 = V055906. assign V461396 = V976253 + 1. assign V599929 = V055906. assign V627265 = V092309. assign V130898 = V872491 - 1. assign V197310 = V085955 + 1. assign V987110 = V057215 - 1. assign V783615 = V569149 - 1. assign V900143 = V051442 - 1. assign V404102 = V627265 + 1. assign V309067 = V688612. assign V061109 = V058307. assign V732986 = V338172 + 1. assign V309414 = V688612 + 1. assign V537491 = V225479 + 1. assign V392420 = V051442 + 1. assign V713892 = V117890. assign V327244 = V656931. assign V707740 = V460622 + 1. assign V282522 = V101132. assign V404819 = V837611 - 1. assign V563867 = V475467 - 1. assign V470726 = V092309 + 1. assign V696425 = V259060. assign V547804 = V082332 + 1. assign V225479 = V085955 - 1. assign V057215 = V025560 - 1. assign V051442 = V976253 + 1. assign V341537 = V707740. assign V949124 = V352207. assign V510475 = V091579 + 1. assign V681432 = V267914 - 1. assign V057814 = V431008 + 1. assign V101132 = V558689. assign V227618 = V361194. assign V421928 = V713892 - 1. assign V498511 = V170187 - 1. assign V328459 = V035540 + 1. assign V936236 = V117890 + 1. assign V512939 = V051442. assign V658459 = V051442 - 1. assign V091579 = V986994 - 1. assign V704877 = V447636 + 1. assign V389365 = V549198 - 1. assign V267914 = V117890 - 1. assign V982990 = V190688 - 1. assign V475467 = V092309 + 1. assign V444328 = V025742. assign V880075 = V063315 + 1. assign V452929 = V549198 - 1. assign V491638 = V980537. assign V242628 = V328459 - 1. assign V549198 = V361194. assign V976253 = V092309 + 1. assign V361627 = V035540 + 1. assign V440086 = V225479 - 1. assign V163125 = V023535. assign V427849 = V063315 + 1. assign V068110 = V338172 + 1. assign V030600 = V197310 - 1. assign V430097 = V431008 + 1. assign V187763 = V051442 - 1. assign V460622 = V267914. assign V416877 = V604205 + 1. assign V424097 = V596849 + 1. assign V196193 = V547804 - 1. assign V328444 = V475467. assign V158929 = V736751. assign V919411 = V558689 + 1. assign V191430 = V872491 + 1. assign V604205 = V547804. assign V646149 = V790046 - 1. assign V092781 = V512939 + 1. assign V112380 = V498511 - 1. assign V755537 = V092309 - 1. assign V082332 = V688612 - 1. assign V412040 = V656931 - 1. assign V427443 = V259060. assign V074242 = V138245. assign V736751 = V414330 - 1. assign V574141 = V392716 + 1. assign V745587 = V039232 + 1. assign V463728 = V404102. assign V337409 = V588929. assign V790046 = V873762 - 1. assign V361194 = V025742 + 1. assign V588929 = V696425 - 1. assign V481060 = V352207 - 1. assign V431008 = V555746 + 1. assign V299924 = V656931 + 1. assign V801473 = V810451 + 1. assign V596755 = V790046 + 1. assign V085955 = V117890 + 1. assign V695759 = 9. assign V117890 = V092309. assign V025742 = V555746 + 1. assign V569149 = V627265 + 1. assign V297418 = V547804 - 1. assign V612747 = V225479 - 1. assign V105926 = V225479 + 1. assign V447636 = V558689 - 1. assign V957877 = V412040 + 1. assign V288151 = V105926 + 1. assign V986994 = V976253. assign V731861 = V460622 + 1. assign V278571 = V085955. assign V596603 = V288151 - 1. assign V200050 = V949124 + 1. assign V322710 = V980537 - 1. assign V524949 = V338172 - 1. assign V013581 = V627265. assign V276399 = V039232. assign V632505 = V057215 + 1. assign V435288 = V170187. assign V032466 = V569149. assign V837611 = V035540. assign V338172 = V475467. assign V403179 = V681432. assign V217215 = V713892. assign V962356 = V414330. assign V946229 = V421928 - 1. assign V757544 = V569149 - 1. assign V555746 = V475467. assign V058307 = V893216. assign V259060 = V057215. assign V872404 = V404102. assign V542710 = V035540 + 1. assign V708222 = V951199. assign V653853 = V987110 + 1. assign V414330 = V713892 + 1. assign V656931 = V463728 + 1. assign V352207 = V524949. assign V437998 = V976253. assign V728746 = V688612 + 1. assign V055906 = V030600 - 1. assign V873762 = V092309. assign V025560 = V475467 - 1. assign V925027 = V951199 - 1. assign V321738 = V757544. assign V980537 = V681432 + 1. assign V872491 = V524949. assign V023535 = V986994 - 1. assign V994744 = V217215 + 1. assign V929530 = V259060 - 1. assign V951199 = V547804 + 1. assign V736490 = V745587 - 1. assign V849475 = V341537 + 1. assign V964830 = V170187 + 1. assign V192451 = V498511 + 1. assign V018104 = V051442. assign V821908 = V547804 + 1. assign V688612 = V085955 - 1. assign V400459 = V728746 + 1. assign V039232 = V082332. assign V534881 = V414330. assign V035540 = V475467 + 1. assign V637941 = V957877 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV695759 = 9;\n\nFrom these direct assignment(s), we have: \nV115807 = V695759 = 9;\nNo other variables can be derived from V115807;\nNo other variables can be derived from V695759;\n\nNow we have done all the calculations. Derived variables are:\nV695759 = 9;\nV115807 = 9;\n\nNow we have finished this problem. ANSWER:\nV695759, V115807\n", "role": "assistant" } ]

[ "V326797" ]

[ { "content": "<context>\nassign V319942 = V400549 - 1. assign V815946 = V393014 - 1. assign V135639 = V327969 - 1. assign V345322 = V004235 + 1. assign V629932 = V533984 + 1. assign V074047 = V702743 + 1. assign V756787 = V799446. assign V163592 = V403244 + 1. assign V958674 = V289793 + 1. assign V795105 = V003053 + 1. assign V714651 = V795974. assign V040238 = V232454 - 1. assign V596286 = V799446 - 1. assign V911293 = V519164. assign V400549 = V095260. assign V385184 = V326797 - 1. assign V953434 = V300663 - 1. assign V748150 = V108119 + 1. assign V428678 = V003053 + 1. assign V575059 = V668587 - 1. assign V183384 = V658947 - 1. assign V674444 = V289793. assign V668587 = V799446 - 1. assign V690894 = V346549 - 1. assign V336016 = V040238 - 1. assign V813143 = V289793 - 1. assign V519377 = V289793 - 1. assign V393014 = V295936 - 1. assign V851917 = V405994 - 1. assign V897769 = V771922 - 1. assign V192747 = V403244 + 1. assign V914414 = V193341 - 1. assign V254725 = V193341 + 1. assign V326797 = 2. assign V112996 = V403244 + 1. assign V270597 = V799446. assign V560630 = V771292 - 1. assign V472661 = V950204 + 1. assign V247886 = V519164. assign V136395 = V827840. assign V371149 = V405994 - 1. assign V382354 = V307558. assign V702607 = V231218 + 1. assign V881483 = V095260 + 1. assign V167578 = V719331 + 1. assign V161306 = V855388 - 1. assign V151632 = V575059 + 1. assign V231218 = V400549. assign V405994 = V596286 + 1. assign V307109 = V161306 + 1. assign V860485 = V879874. assign V616152 = V344553 - 1. assign V961757 = V325874 + 1. assign V307558 = V776074 - 1. assign V540456 = V108119 + 1. assign V964695 = V108119. assign V358322 = V952969 - 1. assign V095260 = V596286 + 1. assign V325874 = V795974 + 1. assign V883024 = V432826. assign V193341 = V563931 + 1. assign V556667 = V095260 - 1. assign V952969 = V325874 + 1. assign V776074 = V032774 - 1. assign V105884 = V108119 - 1. assign V232454 = V855388. assign V727865 = V193341 + 1. assign V516021 = V704654 + 1. assign V985586 = V575059. assign V498623 = V095260 - 1. assign V879874 = V095260. assign V334869 = V231218. assign V108119 = V095260 + 1. assign V950204 = V327969. assign V538557 = V799446 + 1. assign V706254 = V606490 + 1. assign V346549 = V519377. assign V563931 = V289793. assign V256024 = V377096 + 1. assign V395938 = V914414. assign V649290 = V105884 + 1. assign V964018 = V748150 + 1. assign V442180 = V295936 - 1. assign V537230 = V586852 - 1. assign V037755 = V066736 + 1. assign V032774 = V346549 + 1. assign V491888 = V481764 + 1. assign V208062 = V325874 - 1. assign V481764 = V231218 + 1. assign V042291 = V714651 + 1. assign V934578 = V897769 - 1. assign V818193 = V668587. assign V085093 = V889991 + 1. assign V855388 = V563931. assign V007743 = V658111 - 1. assign V461993 = V344553 + 1. assign V607447 = V400549 - 1. assign V595691 = V491635 + 1. assign V279469 = V300663. assign V289793 = V799446 + 1. assign V650083 = V629932 + 1. assign V248633 = V192747. assign V889991 = V428678. assign V640521 = V307558. assign V916743 = V846158 - 1. assign V586852 = V756787. assign V440212 = V428678 - 1. assign V432826 = V952969 + 1. assign V575444 = V860485. assign V945927 = V319942. assign V491635 = V136395 - 1. assign V790988 = V393014 - 1. assign V536382 = V870323 - 1. assign V138270 = V846158 - 1. assign V975038 = V395938 - 1. assign V997875 = V032774 + 1. assign V658111 = V879560 - 1. assign V771292 = V795974. assign V869130 = V573508 + 1. assign V925168 = V846158 - 1. assign V870323 = V193341 - 1. assign V155859 = V155625 + 1. assign V533984 = V247886 + 1. assign V387076 = V607447 + 1. assign V403244 = V563931 - 1. assign V879560 = V795974. assign V291225 = V795974. assign V113667 = V325874 - 1. assign V066736 = V346549 + 1. assign V974613 = V161306. assign V300663 = V702743 - 1. assign V519164 = V596286 - 1. assign V282975 = V231218. assign V771922 = V155625 + 1. assign V658947 = V232454 - 1. assign V002914 = V690894. assign V655417 = V596286. assign V606490 = V756787. assign V195949 = V007743 - 1. assign V295936 = V771922. assign V573508 = V560630. assign V673359 = V799446. assign V873932 = V461993 - 1. assign V827840 = V776074. assign V155625 = V846158 - 1. assign V806823 = V095260 - 1. assign V003053 = V519377 + 1. assign V719331 = V914414 - 1. assign V444769 = V325874. assign V327969 = V714651. assign V881117 = V325874. assign V704654 = V289793. assign V377096 = V606490 + 1. assign V465673 = V629932. assign V675185 = V325874 - 1. assign V137095 = V042291. assign V934739 = V704654 + 1. assign V795974 = V346549 - 1. assign V407345 = V519164 - 1. assign V196043 = V714651 + 1. assign V344553 = V095260 - 1. assign V783218 = V403244 - 1. assign V067508 = V914414 + 1. assign V627891 = V702743 + 1. assign V280675 = V440212 + 1. assign V846158 = V668587. assign V253549 = V883024 - 1. assign V004235 = V702607 + 1. assign V366537 = V964695 - 1. assign V997459 = V911293. assign V702743 = V771922. assign V981378 = V719331 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V319942 = V400549 - 1. assign V815946 = V393014 - 1. assign V135639 = V327969 - 1. assign V345322 = V004235 + 1. assign V629932 = V533984 + 1. assign V074047 = V702743 + 1. assign V756787 = V799446. assign V163592 = V403244 + 1. assign V958674 = V289793 + 1. assign V795105 = V003053 + 1. assign V714651 = V795974. assign V040238 = V232454 - 1. assign V596286 = V799446 - 1. assign V911293 = V519164. assign V400549 = V095260. assign V385184 = V326797 - 1. assign V953434 = V300663 - 1. assign V748150 = V108119 + 1. assign V428678 = V003053 + 1. assign V575059 = V668587 - 1. assign V183384 = V658947 - 1. assign V674444 = V289793. assign V668587 = V799446 - 1. assign V690894 = V346549 - 1. assign V336016 = V040238 - 1. assign V813143 = V289793 - 1. assign V519377 = V289793 - 1. assign V393014 = V295936 - 1. assign V851917 = V405994 - 1. assign V897769 = V771922 - 1. assign V192747 = V403244 + 1. assign V914414 = V193341 - 1. assign V254725 = V193341 + 1. assign V326797 = 2. assign V112996 = V403244 + 1. assign V270597 = V799446. assign V560630 = V771292 - 1. assign V472661 = V950204 + 1. assign V247886 = V519164. assign V136395 = V827840. assign V371149 = V405994 - 1. assign V382354 = V307558. assign V702607 = V231218 + 1. assign V881483 = V095260 + 1. assign V167578 = V719331 + 1. assign V161306 = V855388 - 1. assign V151632 = V575059 + 1. assign V231218 = V400549. assign V405994 = V596286 + 1. assign V307109 = V161306 + 1. assign V860485 = V879874. assign V616152 = V344553 - 1. assign V961757 = V325874 + 1. assign V307558 = V776074 - 1. assign V540456 = V108119 + 1. assign V964695 = V108119. assign V358322 = V952969 - 1. assign V095260 = V596286 + 1. assign V325874 = V795974 + 1. assign V883024 = V432826. assign V193341 = V563931 + 1. assign V556667 = V095260 - 1. assign V952969 = V325874 + 1. assign V776074 = V032774 - 1. assign V105884 = V108119 - 1. assign V232454 = V855388. assign V727865 = V193341 + 1. assign V516021 = V704654 + 1. assign V985586 = V575059. assign V498623 = V095260 - 1. assign V879874 = V095260. assign V334869 = V231218. assign V108119 = V095260 + 1. assign V950204 = V327969. assign V538557 = V799446 + 1. assign V706254 = V606490 + 1. assign V346549 = V519377. assign V563931 = V289793. assign V256024 = V377096 + 1. assign V395938 = V914414. assign V649290 = V105884 + 1. assign V964018 = V748150 + 1. assign V442180 = V295936 - 1. assign V537230 = V586852 - 1. assign V037755 = V066736 + 1. assign V032774 = V346549 + 1. assign V491888 = V481764 + 1. assign V208062 = V325874 - 1. assign V481764 = V231218 + 1. assign V042291 = V714651 + 1. assign V934578 = V897769 - 1. assign V818193 = V668587. assign V085093 = V889991 + 1. assign V855388 = V563931. assign V007743 = V658111 - 1. assign V461993 = V344553 + 1. assign V607447 = V400549 - 1. assign V595691 = V491635 + 1. assign V279469 = V300663. assign V289793 = V799446 + 1. assign V650083 = V629932 + 1. assign V248633 = V192747. assign V889991 = V428678. assign V640521 = V307558. assign V916743 = V846158 - 1. assign V586852 = V756787. assign V440212 = V428678 - 1. assign V432826 = V952969 + 1. assign V575444 = V860485. assign V945927 = V319942. assign V491635 = V136395 - 1. assign V790988 = V393014 - 1. assign V536382 = V870323 - 1. assign V138270 = V846158 - 1. assign V975038 = V395938 - 1. assign V997875 = V032774 + 1. assign V658111 = V879560 - 1. assign V771292 = V795974. assign V869130 = V573508 + 1. assign V925168 = V846158 - 1. assign V870323 = V193341 - 1. assign V155859 = V155625 + 1. assign V533984 = V247886 + 1. assign V387076 = V607447 + 1. assign V403244 = V563931 - 1. assign V879560 = V795974. assign V291225 = V795974. assign V113667 = V325874 - 1. assign V066736 = V346549 + 1. assign V974613 = V161306. assign V300663 = V702743 - 1. assign V519164 = V596286 - 1. assign V282975 = V231218. assign V771922 = V155625 + 1. assign V658947 = V232454 - 1. assign V002914 = V690894. assign V655417 = V596286. assign V606490 = V756787. assign V195949 = V007743 - 1. assign V295936 = V771922. assign V573508 = V560630. assign V673359 = V799446. assign V873932 = V461993 - 1. assign V827840 = V776074. assign V155625 = V846158 - 1. assign V806823 = V095260 - 1. assign V003053 = V519377 + 1. assign V719331 = V914414 - 1. assign V444769 = V325874. assign V327969 = V714651. assign V881117 = V325874. assign V704654 = V289793. assign V377096 = V606490 + 1. assign V465673 = V629932. assign V675185 = V325874 - 1. assign V137095 = V042291. assign V934739 = V704654 + 1. assign V795974 = V346549 - 1. assign V407345 = V519164 - 1. assign V196043 = V714651 + 1. assign V344553 = V095260 - 1. assign V783218 = V403244 - 1. assign V067508 = V914414 + 1. assign V627891 = V702743 + 1. assign V280675 = V440212 + 1. assign V846158 = V668587. assign V253549 = V883024 - 1. assign V004235 = V702607 + 1. assign V366537 = V964695 - 1. assign V997459 = V911293. assign V702743 = V771922. assign V981378 = V719331 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV326797 = 2;\n\nFrom these direct assignment(s), we have: \nV385184 = V326797 - 1 = 2 - 1 =1;\nNo other variables can be derived from V385184;\nNo other variables can be derived from V326797;\n\nNow we have done all the calculations. Derived variables are:\nV326797 = 2;\nV385184 = 1;\n\nNow we have finished this problem. ANSWER:\nV326797\n", "role": "assistant" } ]

[ "V823895" ]

[ { "content": "<context>\nassign V729436 = V777225. assign V984343 = V412920 - 1. assign V155333 = V118400 - 1. assign V453976 = V434109. assign V442304 = V801209. assign V218628 = V442304. assign V227874 = V227702. assign V890216 = V615672 + 1. assign V564911 = V845216. assign V376108 = V422583 + 1. assign V995642 = V890216 - 1. assign V361663 = V884033 - 1. assign V935933 = V540874. assign V285432 = V892678. assign V043153 = V204973. assign V460209 = V028337 - 1. assign V708144 = V495893 - 1. assign V363395 = V227702 - 1. assign V270542 = V233772 - 1. assign V029428 = V258830 + 1. assign V942925 = V615672 - 1. assign V212305 = V624499 + 1. assign V115853 = V258830 - 1. assign V004966 = V691667 - 1. assign V620942 = V043153 - 1. assign V258830 = V422583. assign V306764 = V899885. assign V973188 = V677195. assign V952600 = V466298 - 1. assign V106597 = V854658 - 1. assign V638996 = V716704. assign V854658 = V369397. assign V132585 = V677195. assign V640608 = V125059 - 1. assign V495893 = V204973 - 1. assign V646155 = V043153. assign V462693 = V460209 + 1. assign V700670 = V685895 + 1. assign V231920 = V807369 + 1. assign V431009 = V990054. assign V282127 = V987904. assign V883232 = V231920 - 1. assign V183923 = V604522. assign V462107 = V183923 + 1. assign V540874 = V766736 + 1. assign V054029 = V125059 + 1. assign V593179 = V699276. assign V568554 = V442304. assign V604522 = V576004 + 1. assign V439402 = V990054. assign V429588 = V204973 + 1. assign V604406 = V824782 - 1. assign V899885 = V576004 + 1. assign V257019 = V568554 + 1. assign V846423 = V987904 - 1. assign V028337 = V439402 + 1. assign V657507 = V132585 + 1. assign V466298 = V279144 - 1. assign V777835 = V544576 + 1. assign V443227 = V604406 + 1. assign V938992 = V434109. assign V286259 = V884033 + 1. assign V227702 = V723159 - 1. assign V223285 = V923381 - 1. assign V629137 = V453770. assign V056552 = V777835 - 1. assign V987904 = V973188. assign V122892 = V707728. assign V933370 = V466298 + 1. assign V801209 = V691667 + 1. assign V412661 = V369397. assign V544576 = V204973 + 1. assign V716704 = V376108 - 1. assign V677195 = V723159 + 1. assign V334587 = V544576. assign V233772 = V125059. assign V699276 = V807369 + 1. assign V896776 = V845216 + 1. assign V827230 = V118400 - 1. assign V803510 = V453770. assign V776032 = V493582 - 1. assign V202028 = V824734 + 1. assign V421096 = V495893 + 1. assign V748931 = V777835 + 1. assign V084931 = V495893 - 1. assign V195359 = V891736. assign V395303 = V824734 - 1. assign V965650 = V691667 + 1. assign V823895 = 0. assign V884033 = V279144. assign V426706 = V099422 - 1. assign V576004 = V099422 - 1. assign V924396 = V566919 + 1. assign V513195 = V434109 + 1. assign V244128 = V973188. assign V429439 = V912426 - 1. assign V971610 = V824734 + 1. assign V422583 = V434109 + 1. assign V198391 = V434109 + 1. assign V725529 = V155333 + 1. assign V777225 = V502642. assign V884201 = V163528 + 1. assign V549994 = V151786 + 1. assign V502642 = V412661. assign V572438 = V493582 + 1. assign V261300 = V657507. assign V347082 = V412920 + 1. assign V434109 = V204973. assign V620797 = V214913. assign V395644 = V439402 + 1. assign V624499 = V990054 - 1. assign V764023 = V283219. assign V717848 = V513195 + 1. assign V575882 = V987904. assign V214913 = V568554 - 1. assign V655569 = V540874 + 1. assign V969250 = V596718 + 1. assign V099422 = V624499 + 1. assign V807369 = V965650 - 1. assign V129109 = V708144 + 1. assign V845216 = V624499 + 1. assign V709352 = V118400 + 1. assign V960305 = V952600. assign V453770 = V899885 + 1. assign V091701 = V163528 + 1. assign V362952 = V422583 + 1. assign V456576 = V218628 + 1. assign V566919 = V279144 - 1. assign V759514 = V118400. assign V892678 = V926444 - 1. assign V283219 = V677195 - 1. assign V125059 = V708144 + 1. assign V596718 = V691667 - 1. assign V043947 = V129109 - 1. assign V918223 = V028337 + 1. assign V493582 = V369397 - 1. assign V237090 = V604406. assign V891736 = V362952 - 1. assign V151786 = V261300 + 1. assign V279144 = V422583 - 1. assign V912426 = V677195 + 1. assign V360694 = V328639. assign V118400 = V279144 + 1. assign V926444 = V369397 + 1. assign V824734 = V453770 - 1. assign V064581 = V118400 + 1. assign V472582 = V708144. assign V707728 = V493582. assign V318940 = V884033. assign V369397 = V227702. assign V752893 = V283219 + 1. assign V698790 = V708144 - 1. assign V907044 = V237090. assign V328639 = V129109. assign V412920 = V952600 + 1. assign V779981 = V776032. assign V990054 = V723159. assign V923381 = V884033 - 1. assign V884796 = V115853 - 1. assign V704483 = V971610 - 1. assign V685895 = V824782 + 1. assign V766736 = V513195. assign V824782 = V422583 - 1. assign V057197 = V823895 - 1. assign V163528 = V412661 - 1. assign V204973 = V677195 - 1. assign V016223 = V495893 - 1. assign V189994 = V677195 - 1. assign V615672 = V716704 + 1. assign V691667 = V227702 + 1. assign V849877 = V442304 - 1. assign V564066 = V462107 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V729436 = V777225. assign V984343 = V412920 - 1. assign V155333 = V118400 - 1. assign V453976 = V434109. assign V442304 = V801209. assign V218628 = V442304. assign V227874 = V227702. assign V890216 = V615672 + 1. assign V564911 = V845216. assign V376108 = V422583 + 1. assign V995642 = V890216 - 1. assign V361663 = V884033 - 1. assign V935933 = V540874. assign V285432 = V892678. assign V043153 = V204973. assign V460209 = V028337 - 1. assign V708144 = V495893 - 1. assign V363395 = V227702 - 1. assign V270542 = V233772 - 1. assign V029428 = V258830 + 1. assign V942925 = V615672 - 1. assign V212305 = V624499 + 1. assign V115853 = V258830 - 1. assign V004966 = V691667 - 1. assign V620942 = V043153 - 1. assign V258830 = V422583. assign V306764 = V899885. assign V973188 = V677195. assign V952600 = V466298 - 1. assign V106597 = V854658 - 1. assign V638996 = V716704. assign V854658 = V369397. assign V132585 = V677195. assign V640608 = V125059 - 1. assign V495893 = V204973 - 1. assign V646155 = V043153. assign V462693 = V460209 + 1. assign V700670 = V685895 + 1. assign V231920 = V807369 + 1. assign V431009 = V990054. assign V282127 = V987904. assign V883232 = V231920 - 1. assign V183923 = V604522. assign V462107 = V183923 + 1. assign V540874 = V766736 + 1. assign V054029 = V125059 + 1. assign V593179 = V699276. assign V568554 = V442304. assign V604522 = V576004 + 1. assign V439402 = V990054. assign V429588 = V204973 + 1. assign V604406 = V824782 - 1. assign V899885 = V576004 + 1. assign V257019 = V568554 + 1. assign V846423 = V987904 - 1. assign V028337 = V439402 + 1. assign V657507 = V132585 + 1. assign V466298 = V279144 - 1. assign V777835 = V544576 + 1. assign V443227 = V604406 + 1. assign V938992 = V434109. assign V286259 = V884033 + 1. assign V227702 = V723159 - 1. assign V223285 = V923381 - 1. assign V629137 = V453770. assign V056552 = V777835 - 1. assign V987904 = V973188. assign V122892 = V707728. assign V933370 = V466298 + 1. assign V801209 = V691667 + 1. assign V412661 = V369397. assign V544576 = V204973 + 1. assign V716704 = V376108 - 1. assign V677195 = V723159 + 1. assign V334587 = V544576. assign V233772 = V125059. assign V699276 = V807369 + 1. assign V896776 = V845216 + 1. assign V827230 = V118400 - 1. assign V803510 = V453770. assign V776032 = V493582 - 1. assign V202028 = V824734 + 1. assign V421096 = V495893 + 1. assign V748931 = V777835 + 1. assign V084931 = V495893 - 1. assign V195359 = V891736. assign V395303 = V824734 - 1. assign V965650 = V691667 + 1. assign V823895 = 0. assign V884033 = V279144. assign V426706 = V099422 - 1. assign V576004 = V099422 - 1. assign V924396 = V566919 + 1. assign V513195 = V434109 + 1. assign V244128 = V973188. assign V429439 = V912426 - 1. assign V971610 = V824734 + 1. assign V422583 = V434109 + 1. assign V198391 = V434109 + 1. assign V725529 = V155333 + 1. assign V777225 = V502642. assign V884201 = V163528 + 1. assign V549994 = V151786 + 1. assign V502642 = V412661. assign V572438 = V493582 + 1. assign V261300 = V657507. assign V347082 = V412920 + 1. assign V434109 = V204973. assign V620797 = V214913. assign V395644 = V439402 + 1. assign V624499 = V990054 - 1. assign V764023 = V283219. assign V717848 = V513195 + 1. assign V575882 = V987904. assign V214913 = V568554 - 1. assign V655569 = V540874 + 1. assign V969250 = V596718 + 1. assign V099422 = V624499 + 1. assign V807369 = V965650 - 1. assign V129109 = V708144 + 1. assign V845216 = V624499 + 1. assign V709352 = V118400 + 1. assign V960305 = V952600. assign V453770 = V899885 + 1. assign V091701 = V163528 + 1. assign V362952 = V422583 + 1. assign V456576 = V218628 + 1. assign V566919 = V279144 - 1. assign V759514 = V118400. assign V892678 = V926444 - 1. assign V283219 = V677195 - 1. assign V125059 = V708144 + 1. assign V596718 = V691667 - 1. assign V043947 = V129109 - 1. assign V918223 = V028337 + 1. assign V493582 = V369397 - 1. assign V237090 = V604406. assign V891736 = V362952 - 1. assign V151786 = V261300 + 1. assign V279144 = V422583 - 1. assign V912426 = V677195 + 1. assign V360694 = V328639. assign V118400 = V279144 + 1. assign V926444 = V369397 + 1. assign V824734 = V453770 - 1. assign V064581 = V118400 + 1. assign V472582 = V708144. assign V707728 = V493582. assign V318940 = V884033. assign V369397 = V227702. assign V752893 = V283219 + 1. assign V698790 = V708144 - 1. assign V907044 = V237090. assign V328639 = V129109. assign V412920 = V952600 + 1. assign V779981 = V776032. assign V990054 = V723159. assign V923381 = V884033 - 1. assign V884796 = V115853 - 1. assign V704483 = V971610 - 1. assign V685895 = V824782 + 1. assign V766736 = V513195. assign V824782 = V422583 - 1. assign V057197 = V823895 - 1. assign V163528 = V412661 - 1. assign V204973 = V677195 - 1. assign V016223 = V495893 - 1. assign V189994 = V677195 - 1. assign V615672 = V716704 + 1. assign V691667 = V227702 + 1. assign V849877 = V442304 - 1. assign V564066 = V462107 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV823895 = 0;\n\nFrom these direct assignment(s), we have: \nV057197 = V823895 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V057197;\nNo other variables can be derived from V823895;\n\nNow we have done all the calculations. Derived variables are:\nV823895 = 0;\nV057197 = -1;\n\nNow we have finished this problem. ANSWER:\nV823895\n", "role": "assistant" } ]

[ "V375868", "V700764" ]

[ { "content": "<context>\nassign V711365 = V886710 + 1. assign V750947 = V189520 - 1. assign V089965 = V479974. assign V465086 = V244241 - 1. assign V244241 = V524509. assign V364761 = V992566. assign V879696 = V290393 + 1. assign V712140 = V434549 + 1. assign V706624 = V001556. assign V711291 = V914919 + 1. assign V306551 = V301596 - 1. assign V678013 = V189520 - 1. assign V169098 = V273086 + 1. assign V487561 = V437954 + 1. assign V608051 = V837666 - 1. assign V170088 = V350608 - 1. assign V632236 = V434549 - 1. assign V157416 = V655003 + 1. assign V569654 = V374715 - 1. assign V204220 = V070056 - 1. assign V387090 = V840977 + 1. assign V120637 = V725989. assign V528097 = V835502. assign V710054 = V582075. assign V951649 = V879696 - 1. assign V037850 = V886710. assign V350608 = V951649 + 1. assign V391544 = V479974 - 1. assign V655003 = V606187 - 1. assign V374715 = V066859 - 1. assign V432141 = V237256. assign V066859 = V893470 - 1. assign V401300 = V668507 + 1. assign V746303 = V459807. assign V886710 = V605318 + 1. assign V791843 = V128221 + 1. assign V810386 = V273086 - 1. assign V191178 = V244241. assign V364955 = V159993 + 1. assign V193711 = V810386 - 1. assign V309390 = V445353 + 1. assign V025349 = V582075 + 1. assign V606187 = V837666 + 1. assign V347268 = V606187. assign V733632 = V120637. assign V062818 = V519503. assign V688588 = V514829 + 1. assign V716035 = V946587 + 1. assign V404518 = V313416 + 1. assign V835502 = V756426 + 1. assign V906389 = V070056. assign V164564 = V451525. assign V570069 = V126978 - 1. assign V668507 = V570069 - 1. assign V457824 = V193711 + 1. assign V028037 = V675967 + 1. assign V341774 = V854522 - 1. assign V014143 = V434549 + 1. assign V103658 = V164564. assign V914919 = V524509. assign V894297 = V711291 - 1. assign V528512 = V317070. assign V437954 = V524509. assign V969093 = V120637 - 1. assign V159993 = V606187. assign V496701 = V668507 - 1. assign V264255 = V528512 + 1. assign V389153 = V879696. assign V069055 = V496701 + 1. assign V519503 = V570069 + 1. assign V817042 = V881231 - 1. assign V553284 = V784033 + 1. assign V445353 = V979350 - 1. assign V435276 = V570069 - 1. assign V010269 = V046643. assign V756426 = V951649. assign V126978 = V606187 - 1. assign V046643 = V969093. assign V881231 = V837666. assign V344985 = V756426 + 1. assign V273086 = V040411. assign V804437 = V347268 - 1. assign V023319 = V950808. assign V997439 = V347268. assign V070056 = V069055 + 1. assign V228038 = V341774. assign V619187 = V404518. assign V002027 = V170088. assign V675967 = V347268 + 1. assign V317070 = V756426 - 1. assign V990797 = V675967. assign V237256 = V341774. assign V950808 = V268455. assign V191478 = V837666. assign V976053 = V391544. assign V290393 = V313416 + 1. assign V871044 = V276608 + 1. assign V195899 = V128059. assign V308034 = V489644. assign V542251 = V484650. assign V484650 = V347268 - 1. assign V742734 = V171424. assign V998058 = V740507 + 1. assign V171424 = V740171. assign V628490 = V089965 - 1. assign V784033 = V605318 + 1. assign V700764 = V375868. assign V538789 = V879696 + 1. assign V307177 = V479974 - 1. assign V900876 = V435276 + 1. assign V175896 = V078296 - 1. assign V854522 = V273086. assign V258745 = V668507. assign V479974 = V301596. assign V301596 = V437954 + 1. assign V840977 = V191478 + 1. assign V189520 = V924671 + 1. assign V451525 = V606187 - 1. assign V865274 = V784033 - 1. assign V460051 = V881231 - 1. assign V840333 = V025349. assign V582075 = V979350. assign V605318 = V040411 + 1. assign V740507 = V879696. assign V021339 = V157416. assign V276608 = V606187 - 1. assign V608422 = V599993. assign V156669 = V120637. assign V380459 = V268455 + 1. assign V463301 = V846793 - 1. assign V924671 = V951649. assign V992566 = V675967 - 1. assign V459807 = V784033 + 1. assign V001556 = V906389. assign V979350 = V380868 - 1. assign V375868 = 7. assign V846793 = V290393. assign V641283 = V119418 + 1. assign V849477 = V712140. assign V740171 = V608051. assign V514829 = V950808 + 1. assign V119418 = V725989. assign V128221 = V979350 + 1. assign V823559 = V445353. assign V881202 = V204220. assign V825568 = V489644 - 1. assign V667457 = V906389 + 1. assign V380868 = V313416. assign V488777 = V479974 - 1. assign V876472 = V519503. assign V599993 = V951649 + 1. assign V434549 = V347268 + 1. assign V313416 = V606187 + 1. assign V946587 = V524509. assign V040411 = V313416. assign V045691 = V784033 - 1. assign V844630 = V344985 + 1. assign V402900 = V290393 + 1. assign V128059 = V023319 + 1. assign V725989 = V350608 + 1. assign V489644 = V437954. assign V527160 = V066859 - 1. assign V524509 = V655003 - 1. assign V078296 = V128059 - 1. assign V295823 = V309390 + 1. assign V474538 = V244241 + 1. assign V247282 = V608051. assign V697324 = V404518 - 1. assign V473036 = V308034. assign V656019 = V273086 - 1. assign V268455 = V668507 + 1. assign V893470 = V605318 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V711365 = V886710 + 1. assign V750947 = V189520 - 1. assign V089965 = V479974. assign V465086 = V244241 - 1. assign V244241 = V524509. assign V364761 = V992566. assign V879696 = V290393 + 1. assign V712140 = V434549 + 1. assign V706624 = V001556. assign V711291 = V914919 + 1. assign V306551 = V301596 - 1. assign V678013 = V189520 - 1. assign V169098 = V273086 + 1. assign V487561 = V437954 + 1. assign V608051 = V837666 - 1. assign V170088 = V350608 - 1. assign V632236 = V434549 - 1. assign V157416 = V655003 + 1. assign V569654 = V374715 - 1. assign V204220 = V070056 - 1. assign V387090 = V840977 + 1. assign V120637 = V725989. assign V528097 = V835502. assign V710054 = V582075. assign V951649 = V879696 - 1. assign V037850 = V886710. assign V350608 = V951649 + 1. assign V391544 = V479974 - 1. assign V655003 = V606187 - 1. assign V374715 = V066859 - 1. assign V432141 = V237256. assign V066859 = V893470 - 1. assign V401300 = V668507 + 1. assign V746303 = V459807. assign V886710 = V605318 + 1. assign V791843 = V128221 + 1. assign V810386 = V273086 - 1. assign V191178 = V244241. assign V364955 = V159993 + 1. assign V193711 = V810386 - 1. assign V309390 = V445353 + 1. assign V025349 = V582075 + 1. assign V606187 = V837666 + 1. assign V347268 = V606187. assign V733632 = V120637. assign V062818 = V519503. assign V688588 = V514829 + 1. assign V716035 = V946587 + 1. assign V404518 = V313416 + 1. assign V835502 = V756426 + 1. assign V906389 = V070056. assign V164564 = V451525. assign V570069 = V126978 - 1. assign V668507 = V570069 - 1. assign V457824 = V193711 + 1. assign V028037 = V675967 + 1. assign V341774 = V854522 - 1. assign V014143 = V434549 + 1. assign V103658 = V164564. assign V914919 = V524509. assign V894297 = V711291 - 1. assign V528512 = V317070. assign V437954 = V524509. assign V969093 = V120637 - 1. assign V159993 = V606187. assign V496701 = V668507 - 1. assign V264255 = V528512 + 1. assign V389153 = V879696. assign V069055 = V496701 + 1. assign V519503 = V570069 + 1. assign V817042 = V881231 - 1. assign V553284 = V784033 + 1. assign V445353 = V979350 - 1. assign V435276 = V570069 - 1. assign V010269 = V046643. assign V756426 = V951649. assign V126978 = V606187 - 1. assign V046643 = V969093. assign V881231 = V837666. assign V344985 = V756426 + 1. assign V273086 = V040411. assign V804437 = V347268 - 1. assign V023319 = V950808. assign V997439 = V347268. assign V070056 = V069055 + 1. assign V228038 = V341774. assign V619187 = V404518. assign V002027 = V170088. assign V675967 = V347268 + 1. assign V317070 = V756426 - 1. assign V990797 = V675967. assign V237256 = V341774. assign V950808 = V268455. assign V191478 = V837666. assign V976053 = V391544. assign V290393 = V313416 + 1. assign V871044 = V276608 + 1. assign V195899 = V128059. assign V308034 = V489644. assign V542251 = V484650. assign V484650 = V347268 - 1. assign V742734 = V171424. assign V998058 = V740507 + 1. assign V171424 = V740171. assign V628490 = V089965 - 1. assign V784033 = V605318 + 1. assign V700764 = V375868. assign V538789 = V879696 + 1. assign V307177 = V479974 - 1. assign V900876 = V435276 + 1. assign V175896 = V078296 - 1. assign V854522 = V273086. assign V258745 = V668507. assign V479974 = V301596. assign V301596 = V437954 + 1. assign V840977 = V191478 + 1. assign V189520 = V924671 + 1. assign V451525 = V606187 - 1. assign V865274 = V784033 - 1. assign V460051 = V881231 - 1. assign V840333 = V025349. assign V582075 = V979350. assign V605318 = V040411 + 1. assign V740507 = V879696. assign V021339 = V157416. assign V276608 = V606187 - 1. assign V608422 = V599993. assign V156669 = V120637. assign V380459 = V268455 + 1. assign V463301 = V846793 - 1. assign V924671 = V951649. assign V992566 = V675967 - 1. assign V459807 = V784033 + 1. assign V001556 = V906389. assign V979350 = V380868 - 1. assign V375868 = 7. assign V846793 = V290393. assign V641283 = V119418 + 1. assign V849477 = V712140. assign V740171 = V608051. assign V514829 = V950808 + 1. assign V119418 = V725989. assign V128221 = V979350 + 1. assign V823559 = V445353. assign V881202 = V204220. assign V825568 = V489644 - 1. assign V667457 = V906389 + 1. assign V380868 = V313416. assign V488777 = V479974 - 1. assign V876472 = V519503. assign V599993 = V951649 + 1. assign V434549 = V347268 + 1. assign V313416 = V606187 + 1. assign V946587 = V524509. assign V040411 = V313416. assign V045691 = V784033 - 1. assign V844630 = V344985 + 1. assign V402900 = V290393 + 1. assign V128059 = V023319 + 1. assign V725989 = V350608 + 1. assign V489644 = V437954. assign V527160 = V066859 - 1. assign V524509 = V655003 - 1. assign V078296 = V128059 - 1. assign V295823 = V309390 + 1. assign V474538 = V244241 + 1. assign V247282 = V608051. assign V697324 = V404518 - 1. assign V473036 = V308034. assign V656019 = V273086 - 1. assign V268455 = V668507 + 1. assign V893470 = V605318 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV375868 = 7;\n\nFrom these direct assignment(s), we have: \nV700764 = V375868 = 7;\nNo other variables can be derived from V700764;\nNo other variables can be derived from V375868;\n\nNow we have done all the calculations. Derived variables are:\nV375868 = 7;\nV700764 = 7;\n\nNow we have finished this problem. ANSWER:\nV375868, V700764\n", "role": "assistant" } ]

[ "V531707", "V849408" ]

[ { "content": "<context>\nassign V474194 = V193980 - 1. assign V596270 = V790873 + 1. assign V965494 = V647010 + 1. assign V537288 = V541694. assign V256743 = V225881. assign V786719 = V102255 + 1. assign V769586 = V571555. assign V749961 = V099105. assign V099105 = V252789. assign V980430 = V222594. assign V128301 = V843942 - 1. assign V008903 = V133852 - 1. assign V972329 = V818900. assign V398793 = V584874. assign V338513 = V183229 + 1. assign V438927 = V399641 - 1. assign V355687 = V251337 - 1. assign V009311 = V451889 - 1. assign V363509 = V085194 + 1. assign V322350 = V305761 - 1. assign V082859 = V041588 + 1. assign V620145 = V900253 + 1. assign V152457 = V571555 - 1. assign V045164 = V363509 - 1. assign V352738 = V895775 - 1. assign V750678 = V128301 + 1. assign V544735 = V669116. assign V669967 = V198019 - 1. assign V103904 = V515728. assign V227093 = V128301 + 1. assign V583086 = V887384 + 1. assign V609819 = V541694 + 1. assign V867648 = V615557 - 1. assign V895775 = V541694 - 1. assign V075587 = V075275 - 1. assign V471802 = V824340. assign V267200 = V546564 - 1. assign V416236 = V855462 - 1. assign V242733 = V193980. assign V489862 = V128301 + 1. assign V494273 = V769586. assign V530979 = V820784 - 1. assign V986982 = V103904 + 1. assign V592237 = V794549. assign V509372 = V294390. assign V735242 = V227831 - 1. assign V546564 = V887384 + 1. assign V451889 = V075275. assign V623602 = V818900. assign V198019 = V489862 + 1. assign V944470 = V102255 + 1. assign V519346 = V210200 + 1. assign V877648 = V843942 + 1. assign V280278 = V183913 + 1. assign V252789 = V835620. assign V543594 = V560542. assign V904776 = V900253 - 1. assign V989789 = V971684 + 1. assign V824340 = V329760 + 1. assign V357823 = V371172 + 1. assign V716409 = V519346. assign V673340 = V972329 + 1. assign V849408 = V531707. assign V325491 = V900253. assign V481352 = V637061. assign V281034 = V424728 - 1. assign V717893 = V451889. assign V752901 = V843942 + 1. assign V424728 = V082859. assign V560542 = V113775 + 1. assign V835620 = V818900 - 1. assign V292872 = V133852 - 1. assign V300335 = V202954. assign V519939 = V944818. assign V125073 = V398793 - 1. assign V609040 = V843942 + 1. assign V027993 = V716409 - 1. assign V758043 = V449274 - 1. assign V085194 = V786719 + 1. assign V741038 = V887384. assign V251014 = V623602. assign V531707 = 5. assign V131682 = V075275 - 1. assign V818900 = V620145 + 1. assign V371172 = V148644 + 1. assign V921526 = V183229 + 1. assign V035572 = V559357. assign V615557 = V583086 + 1. assign V584874 = V669116 + 1. assign V280541 = V820784 - 1. assign V113775 = V102255 + 1. assign V944818 = V398793 - 1. assign V217465 = V113775 + 1. assign V603273 = V133852 + 1. assign V197360 = V843942. assign V225881 = V560542 + 1. assign V948372 = V255831 + 1. assign V519641 = V300335. assign V072239 = V280541 - 1. assign V158243 = V843942. assign V123831 = V041588 + 1. assign V460630 = V944470. assign V075275 = V786719 + 1. assign V399641 = V242733 - 1. assign V102798 = V998873. assign V625459 = V559357 + 1. assign V840602 = V717893. assign V998873 = V669116 - 1. assign V381860 = V227093 + 1. assign V043670 = V559357 - 1. assign V202954 = V075275. assign V334141 = V202954 - 1. assign V613848 = V072239 - 1. assign V041588 = V560542 - 1. assign V294390 = V786719 + 1. assign V422428 = V075587 + 1. assign V794549 = V398793 - 1. assign V003878 = V609040 - 1. assign V562234 = V571555. assign V637061 = V158243 + 1. assign V647010 = V451889 + 1. assign V664290 = V255831. assign V820784 = V085194 - 1. assign V514643 = V102659 - 1. assign V500167 = V609040. assign V329760 = V637061 - 1. assign V559357 = V637061 - 1. assign V515728 = V489862 - 1. assign V210200 = V474194 - 1. assign V255831 = V158243 + 1. assign V855462 = V113775 + 1. assign V758456 = V786719 + 1. assign V132753 = V620145 + 1. assign V541694 = V973932 - 1. assign V449274 = V944470 - 1. assign V695251 = V085194. assign V305761 = V251337 + 1. assign V571555 = V197360 + 1. assign V900253 = V075275 - 1. assign V398883 = V543594 - 1. assign V884763 = V904776. assign V971684 = V609040 + 1. assign V484064 = V717893 + 1. assign V572287 = V716409 + 1. assign V736817 = V113775 + 1. assign V251337 = V075275 - 1. assign V133852 = V210200. assign V599687 = V251337 + 1. assign V291804 = V835620 - 1. assign V973932 = V904776 + 1. assign V374724 = V855462 - 1. assign V246591 = V609040 - 1. assign V148644 = V183229. assign V818994 = V855462. assign V183229 = V669116 - 1. assign V430203 = V449274. assign V207094 = V530979 + 1. assign V193980 = V085194 - 1. assign V163460 = V099105 + 1. assign V069316 = V152457 + 1. assign V669116 = V843942 + 1. assign V183913 = V546564 + 1. assign V394396 = V948372. assign V033100 = V818900. assign V222594 = V921526 - 1. assign V887384 = V818994 - 1. assign V843942 = V102255. assign V227831 = V075587. assign V512767 = V560542 - 1. assign V106121 = V877648 + 1. assign V102659 = V736817 + 1. assign V790873 = V560542.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V474194 = V193980 - 1. assign V596270 = V790873 + 1. assign V965494 = V647010 + 1. assign V537288 = V541694. assign V256743 = V225881. assign V786719 = V102255 + 1. assign V769586 = V571555. assign V749961 = V099105. assign V099105 = V252789. assign V980430 = V222594. assign V128301 = V843942 - 1. assign V008903 = V133852 - 1. assign V972329 = V818900. assign V398793 = V584874. assign V338513 = V183229 + 1. assign V438927 = V399641 - 1. assign V355687 = V251337 - 1. assign V009311 = V451889 - 1. assign V363509 = V085194 + 1. assign V322350 = V305761 - 1. assign V082859 = V041588 + 1. assign V620145 = V900253 + 1. assign V152457 = V571555 - 1. assign V045164 = V363509 - 1. assign V352738 = V895775 - 1. assign V750678 = V128301 + 1. assign V544735 = V669116. assign V669967 = V198019 - 1. assign V103904 = V515728. assign V227093 = V128301 + 1. assign V583086 = V887384 + 1. assign V609819 = V541694 + 1. assign V867648 = V615557 - 1. assign V895775 = V541694 - 1. assign V075587 = V075275 - 1. assign V471802 = V824340. assign V267200 = V546564 - 1. assign V416236 = V855462 - 1. assign V242733 = V193980. assign V489862 = V128301 + 1. assign V494273 = V769586. assign V530979 = V820784 - 1. assign V986982 = V103904 + 1. assign V592237 = V794549. assign V509372 = V294390. assign V735242 = V227831 - 1. assign V546564 = V887384 + 1. assign V451889 = V075275. assign V623602 = V818900. assign V198019 = V489862 + 1. assign V944470 = V102255 + 1. assign V519346 = V210200 + 1. assign V877648 = V843942 + 1. assign V280278 = V183913 + 1. assign V252789 = V835620. assign V543594 = V560542. assign V904776 = V900253 - 1. assign V989789 = V971684 + 1. assign V824340 = V329760 + 1. assign V357823 = V371172 + 1. assign V716409 = V519346. assign V673340 = V972329 + 1. assign V849408 = V531707. assign V325491 = V900253. assign V481352 = V637061. assign V281034 = V424728 - 1. assign V717893 = V451889. assign V752901 = V843942 + 1. assign V424728 = V082859. assign V560542 = V113775 + 1. assign V835620 = V818900 - 1. assign V292872 = V133852 - 1. assign V300335 = V202954. assign V519939 = V944818. assign V125073 = V398793 - 1. assign V609040 = V843942 + 1. assign V027993 = V716409 - 1. assign V758043 = V449274 - 1. assign V085194 = V786719 + 1. assign V741038 = V887384. assign V251014 = V623602. assign V531707 = 5. assign V131682 = V075275 - 1. assign V818900 = V620145 + 1. assign V371172 = V148644 + 1. assign V921526 = V183229 + 1. assign V035572 = V559357. assign V615557 = V583086 + 1. assign V584874 = V669116 + 1. assign V280541 = V820784 - 1. assign V113775 = V102255 + 1. assign V944818 = V398793 - 1. assign V217465 = V113775 + 1. assign V603273 = V133852 + 1. assign V197360 = V843942. assign V225881 = V560542 + 1. assign V948372 = V255831 + 1. assign V519641 = V300335. assign V072239 = V280541 - 1. assign V158243 = V843942. assign V123831 = V041588 + 1. assign V460630 = V944470. assign V075275 = V786719 + 1. assign V399641 = V242733 - 1. assign V102798 = V998873. assign V625459 = V559357 + 1. assign V840602 = V717893. assign V998873 = V669116 - 1. assign V381860 = V227093 + 1. assign V043670 = V559357 - 1. assign V202954 = V075275. assign V334141 = V202954 - 1. assign V613848 = V072239 - 1. assign V041588 = V560542 - 1. assign V294390 = V786719 + 1. assign V422428 = V075587 + 1. assign V794549 = V398793 - 1. assign V003878 = V609040 - 1. assign V562234 = V571555. assign V637061 = V158243 + 1. assign V647010 = V451889 + 1. assign V664290 = V255831. assign V820784 = V085194 - 1. assign V514643 = V102659 - 1. assign V500167 = V609040. assign V329760 = V637061 - 1. assign V559357 = V637061 - 1. assign V515728 = V489862 - 1. assign V210200 = V474194 - 1. assign V255831 = V158243 + 1. assign V855462 = V113775 + 1. assign V758456 = V786719 + 1. assign V132753 = V620145 + 1. assign V541694 = V973932 - 1. assign V449274 = V944470 - 1. assign V695251 = V085194. assign V305761 = V251337 + 1. assign V571555 = V197360 + 1. assign V900253 = V075275 - 1. assign V398883 = V543594 - 1. assign V884763 = V904776. assign V971684 = V609040 + 1. assign V484064 = V717893 + 1. assign V572287 = V716409 + 1. assign V736817 = V113775 + 1. assign V251337 = V075275 - 1. assign V133852 = V210200. assign V599687 = V251337 + 1. assign V291804 = V835620 - 1. assign V973932 = V904776 + 1. assign V374724 = V855462 - 1. assign V246591 = V609040 - 1. assign V148644 = V183229. assign V818994 = V855462. assign V183229 = V669116 - 1. assign V430203 = V449274. assign V207094 = V530979 + 1. assign V193980 = V085194 - 1. assign V163460 = V099105 + 1. assign V069316 = V152457 + 1. assign V669116 = V843942 + 1. assign V183913 = V546564 + 1. assign V394396 = V948372. assign V033100 = V818900. assign V222594 = V921526 - 1. assign V887384 = V818994 - 1. assign V843942 = V102255. assign V227831 = V075587. assign V512767 = V560542 - 1. assign V106121 = V877648 + 1. assign V102659 = V736817 + 1. assign V790873 = V560542.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV531707 = 5;\n\nFrom these direct assignment(s), we have: \nV849408 = V531707 = 5;\nNo other variables can be derived from V849408;\nNo other variables can be derived from V531707;\n\nNow we have done all the calculations. Derived variables are:\nV531707 = 5;\nV849408 = 5;\n\nNow we have finished this problem. ANSWER:\nV531707, V849408\n", "role": "assistant" } ]

[ "V797875", "V616622" ]

[ { "content": "<context>\nassign V147868 = V187409. assign V250780 = V875707 + 1. assign V723570 = V324802 - 1. assign V797875 = 3. assign V056827 = V514496. assign V703290 = V388254. assign V875707 = V600845 + 1. assign V943607 = V948100 + 1. assign V527822 = V576332 + 1. assign V513763 = V490395 + 1. assign V634983 = V423580. assign V671861 = V490395. assign V652213 = V443740 - 1. assign V600845 = V187409 - 1. assign V378193 = V147868 + 1. assign V975436 = V147868. assign V097854 = V896436. assign V686138 = V762157 - 1. assign V431514 = V339998 + 1. assign V187409 = V833238. assign V026390 = V008676 + 1. assign V885172 = V378193. assign V746051 = V295178. assign V300239 = V981474 + 1. assign V273241 = V008676. assign V460387 = V187409 - 1. assign V168144 = V946471 + 1. assign V303860 = V060273 + 1. assign V607019 = V527822 + 1. assign V097764 = V933290 + 1. assign V880075 = V060273 + 1. assign V388254 = V366283. assign V423580 = V737740 - 1. assign V277325 = V147868. assign V295178 = V996462 - 1. assign V539855 = V781838 + 1. assign V762157 = V365179. assign V043286 = V423580. assign V117864 = V222889. assign V616622 = V797875. assign V905953 = V833238 - 1. assign V121360 = V614948. assign V426706 = V423098 - 1. assign V996462 = V187409 + 1. assign V443740 = V187409. assign V325868 = V487259. assign V526817 = V794124. assign V366283 = V833238. assign V846075 = V896436 - 1. assign V036701 = V762157 - 1. assign V230608 = V060273 + 1. assign V530863 = V868490 - 1. assign V386895 = V661834. assign V437302 = V859450 - 1. assign V627100 = V060273 - 1. assign V579537 = V494554 - 1. assign V822192 = V303860 + 1. assign V028627 = V121360. assign V401144 = V036701 - 1. assign V573380 = V007916. assign V885274 = V489118. assign V948100 = V187409 - 1. assign V639949 = V378193. assign V981474 = V060273 - 1. assign V849022 = V161687 + 1. assign V859450 = V243419 + 1. assign V794124 = V781838 - 1. assign V870461 = V948100 - 1. assign V519438 = V003205. assign V497650 = V303860 - 1. assign V339998 = V684743 + 1. assign V324802 = V833238. assign V487259 = V443740 - 1. assign V849923 = V624018 - 1. assign V171431 = V303860. assign V193840 = V652213 - 1. assign V382532 = V640920. assign V412621 = V325868. assign V749430 = V875707 + 1. assign V576332 = V187409 + 1. assign V454510 = V933290 + 1. assign V577294 = V114633 - 1. assign V490395 = V905953 - 1. assign V083368 = V277325 - 1. assign V298353 = V114633 + 1. assign V876495 = V159709 + 1. assign V423098 = V530863. assign V060273 = V684743 + 1. assign V104690 = V652213 - 1. assign V595724 = V497650. assign V679953 = V060273 + 1. assign V707332 = V171431. assign V857008 = V807506 - 1. assign V348964 = V085150 - 1. assign V124333 = V497186 - 1. assign V816612 = V250780 + 1. assign V761420 = V615237 + 1. assign V159709 = V905953 + 1. assign V008676 = V595724 - 1. assign V601600 = V833238 - 1. assign V972917 = V652213. assign V659697 = V996462 + 1. assign V640920 = V300239. assign V479752 = V600845 + 1. assign V946456 = V781838 + 1. assign V794450 = V487259 + 1. assign V571654 = V114633 - 1. assign V946471 = V514496 + 1. assign V893967 = V870461 - 1. assign V484776 = V615237. assign V781838 = V737740 - 1. assign V497186 = V443740 + 1. assign V533863 = V489118 - 1. assign V489118 = V147868 + 1. assign V626969 = V414818 + 1. assign V222889 = V187409 + 1. assign V564632 = V412621 - 1. assign V838120 = V652213 + 1. assign V896436 = V114633 - 1. assign V247674 = V421031. assign V807506 = V003205 + 1. assign V199638 = V161687 - 1. assign V015466 = V423098 + 1. assign V424982 = V838120. assign V703342 = V290486 + 1. assign V110033 = V423580 + 1. assign V684743 = V833238 + 1. assign V466282 = V423580 - 1. assign V494554 = V366283. assign V661834 = V366283 - 1. assign V737740 = V600845 + 1. assign V007916 = V325868 - 1. assign V135814 = V918574 + 1. assign V933290 = V634983 - 1. assign V624018 = V737740 + 1. assign V739944 = V910418 - 1. assign V523555 = V703290. assign V614948 = V626969 - 1. assign V421031 = V423580. assign V880325 = V171431 - 1. assign V987939 = V514496 + 1. assign V514496 = V114633 + 1. assign V632005 = V487259 + 1. assign V477012 = V723570. assign V998084 = V749430. assign V514251 = V825714 + 1. assign V201218 = V161687 + 1. assign V374106 = V085150. assign V681992 = V624018 - 1. assign V417856 = V600845 + 1. assign V290486 = V303860 + 1. assign V122645 = V466282. assign V615237 = V601600 + 1. assign V161687 = V905953 + 1. assign V841593 = V576332 - 1. assign V744658 = V423580 - 1. assign V038057 = V159709. assign V610159 = V443740. assign V085150 = V097854 + 1. assign V628118 = V303860. assign V868490 = V365179 - 1. assign V003205 = V600845. assign V995352 = V417856 + 1. assign V114633 = V366283 + 1. assign V243419 = V147868 + 1. assign V414818 = V325868 + 1. assign V825714 = V097764. assign V918574 = V043286. assign V302944 = V615237 + 1. assign V910418 = V875707 - 1. assign V365179 = V443740 + 1. assign V201663 = V885172 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V147868 = V187409. assign V250780 = V875707 + 1. assign V723570 = V324802 - 1. assign V797875 = 3. assign V056827 = V514496. assign V703290 = V388254. assign V875707 = V600845 + 1. assign V943607 = V948100 + 1. assign V527822 = V576332 + 1. assign V513763 = V490395 + 1. assign V634983 = V423580. assign V671861 = V490395. assign V652213 = V443740 - 1. assign V600845 = V187409 - 1. assign V378193 = V147868 + 1. assign V975436 = V147868. assign V097854 = V896436. assign V686138 = V762157 - 1. assign V431514 = V339998 + 1. assign V187409 = V833238. assign V026390 = V008676 + 1. assign V885172 = V378193. assign V746051 = V295178. assign V300239 = V981474 + 1. assign V273241 = V008676. assign V460387 = V187409 - 1. assign V168144 = V946471 + 1. assign V303860 = V060273 + 1. assign V607019 = V527822 + 1. assign V097764 = V933290 + 1. assign V880075 = V060273 + 1. assign V388254 = V366283. assign V423580 = V737740 - 1. assign V277325 = V147868. assign V295178 = V996462 - 1. assign V539855 = V781838 + 1. assign V762157 = V365179. assign V043286 = V423580. assign V117864 = V222889. assign V616622 = V797875. assign V905953 = V833238 - 1. assign V121360 = V614948. assign V426706 = V423098 - 1. assign V996462 = V187409 + 1. assign V443740 = V187409. assign V325868 = V487259. assign V526817 = V794124. assign V366283 = V833238. assign V846075 = V896436 - 1. assign V036701 = V762157 - 1. assign V230608 = V060273 + 1. assign V530863 = V868490 - 1. assign V386895 = V661834. assign V437302 = V859450 - 1. assign V627100 = V060273 - 1. assign V579537 = V494554 - 1. assign V822192 = V303860 + 1. assign V028627 = V121360. assign V401144 = V036701 - 1. assign V573380 = V007916. assign V885274 = V489118. assign V948100 = V187409 - 1. assign V639949 = V378193. assign V981474 = V060273 - 1. assign V849022 = V161687 + 1. assign V859450 = V243419 + 1. assign V794124 = V781838 - 1. assign V870461 = V948100 - 1. assign V519438 = V003205. assign V497650 = V303860 - 1. assign V339998 = V684743 + 1. assign V324802 = V833238. assign V487259 = V443740 - 1. assign V849923 = V624018 - 1. assign V171431 = V303860. assign V193840 = V652213 - 1. assign V382532 = V640920. assign V412621 = V325868. assign V749430 = V875707 + 1. assign V576332 = V187409 + 1. assign V454510 = V933290 + 1. assign V577294 = V114633 - 1. assign V490395 = V905953 - 1. assign V083368 = V277325 - 1. assign V298353 = V114633 + 1. assign V876495 = V159709 + 1. assign V423098 = V530863. assign V060273 = V684743 + 1. assign V104690 = V652213 - 1. assign V595724 = V497650. assign V679953 = V060273 + 1. assign V707332 = V171431. assign V857008 = V807506 - 1. assign V348964 = V085150 - 1. assign V124333 = V497186 - 1. assign V816612 = V250780 + 1. assign V761420 = V615237 + 1. assign V159709 = V905953 + 1. assign V008676 = V595724 - 1. assign V601600 = V833238 - 1. assign V972917 = V652213. assign V659697 = V996462 + 1. assign V640920 = V300239. assign V479752 = V600845 + 1. assign V946456 = V781838 + 1. assign V794450 = V487259 + 1. assign V571654 = V114633 - 1. assign V946471 = V514496 + 1. assign V893967 = V870461 - 1. assign V484776 = V615237. assign V781838 = V737740 - 1. assign V497186 = V443740 + 1. assign V533863 = V489118 - 1. assign V489118 = V147868 + 1. assign V626969 = V414818 + 1. assign V222889 = V187409 + 1. assign V564632 = V412621 - 1. assign V838120 = V652213 + 1. assign V896436 = V114633 - 1. assign V247674 = V421031. assign V807506 = V003205 + 1. assign V199638 = V161687 - 1. assign V015466 = V423098 + 1. assign V424982 = V838120. assign V703342 = V290486 + 1. assign V110033 = V423580 + 1. assign V684743 = V833238 + 1. assign V466282 = V423580 - 1. assign V494554 = V366283. assign V661834 = V366283 - 1. assign V737740 = V600845 + 1. assign V007916 = V325868 - 1. assign V135814 = V918574 + 1. assign V933290 = V634983 - 1. assign V624018 = V737740 + 1. assign V739944 = V910418 - 1. assign V523555 = V703290. assign V614948 = V626969 - 1. assign V421031 = V423580. assign V880325 = V171431 - 1. assign V987939 = V514496 + 1. assign V514496 = V114633 + 1. assign V632005 = V487259 + 1. assign V477012 = V723570. assign V998084 = V749430. assign V514251 = V825714 + 1. assign V201218 = V161687 + 1. assign V374106 = V085150. assign V681992 = V624018 - 1. assign V417856 = V600845 + 1. assign V290486 = V303860 + 1. assign V122645 = V466282. assign V615237 = V601600 + 1. assign V161687 = V905953 + 1. assign V841593 = V576332 - 1. assign V744658 = V423580 - 1. assign V038057 = V159709. assign V610159 = V443740. assign V085150 = V097854 + 1. assign V628118 = V303860. assign V868490 = V365179 - 1. assign V003205 = V600845. assign V995352 = V417856 + 1. assign V114633 = V366283 + 1. assign V243419 = V147868 + 1. assign V414818 = V325868 + 1. assign V825714 = V097764. assign V918574 = V043286. assign V302944 = V615237 + 1. assign V910418 = V875707 - 1. assign V365179 = V443740 + 1. assign V201663 = V885172 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV797875 = 3;\n\nFrom these direct assignment(s), we have: \nV616622 = V797875 = 3;\nNo other variables can be derived from V616622;\nNo other variables can be derived from V797875;\n\nNow we have done all the calculations. Derived variables are:\nV797875 = 3;\nV616622 = 3;\n\nNow we have finished this problem. ANSWER:\nV797875, V616622\n", "role": "assistant" } ]

[ "V380131" ]

[ { "content": "<context>\nassign V290157 = V963573 + 1. assign V147719 = V697176 - 1. assign V438963 = V330122. assign V268849 = V837185 + 1. assign V380131 = 9. assign V004563 = V636746 - 1. assign V118087 = V001027 + 1. assign V470166 = V687333 - 1. assign V092864 = V188320. assign V908873 = V716060. assign V897377 = V998252. assign V349426 = V141952 - 1. assign V352526 = V012065 + 1. assign V796198 = V182519. assign V770873 = V941808 - 1. assign V780437 = V545462 - 1. assign V931768 = V120158. assign V175536 = V965117 + 1. assign V472486 = V175536 + 1. assign V733650 = V233765. assign V067986 = V352526 - 1. assign V337712 = V944796 + 1. assign V788958 = V188320 - 1. assign V810981 = V272837 + 1. assign V101046 = V780437 - 1. assign V998252 = V687333 - 1. assign V916346 = V980150 - 1. assign V513348 = V654181. assign V124370 = V837185. assign V559730 = V923170 - 1. assign V999962 = V438963 - 1. assign V082929 = V941808. assign V942236 = V826293 + 1. assign V096885 = V944796 + 1. assign V790976 = V545462 - 1. assign V673246 = V510067 - 1. assign V157536 = V342413 + 1. assign V856987 = V931768 - 1. assign V984129 = V700010. assign V315163 = V583692. assign V562880 = V272837. assign V510067 = V965117 + 1. assign V700010 = V923170. assign V272837 = V471340 + 1. assign V130028 = V776112 - 1. assign V852381 = V416558 - 1. assign V819943 = V133722 - 1. assign V068311 = V120158 - 1. assign V430133 = V777002. assign V141952 = V437757 - 1. assign V777002 = V687333 - 1. assign V944130 = V812558 - 1. assign V711537 = V375781. assign V595767 = V125801 + 1. assign V518403 = V412886 + 1. assign V353987 = V412886. assign V126996 = V188320 + 1. assign V375781 = V455626. assign V012065 = V812558 - 1. assign V120158 = V687333. assign V692302 = V790976 + 1. assign V864911 = V700010 - 1. assign V760712 = V804437 - 1. assign V182519 = V496874. assign V965117 = V272837 - 1. assign V783245 = V496874 + 1. assign V944796 = V412886 + 1. assign V603681 = V437757 + 1. assign V778076 = V125801. assign V575957 = V711537. assign V403642 = V437757 + 1. assign V416558 = V963573 + 1. assign V032724 = V654181. assign V125801 = V583692 - 1. assign V468318 = V730799 + 1. assign V545462 = V004563 + 1. assign V381447 = V496874. assign V086363 = V330122. assign V222393 = V381436. assign V923170 = V941808 - 1. assign V759299 = V809049 - 1. assign V164356 = V133722 - 1. assign V646748 = V336908 - 1. assign V048467 = V856987. assign V786475 = V120158 - 1. assign V972000 = V089033 + 1. assign V826293 = V416558. assign V001027 = V416558. assign V157344 = V124370. assign V084484 = V353987 + 1. assign V471340 = V687333. assign V688290 = V631048. assign V279142 = V809049 - 1. assign V581483 = V562880 - 1. assign V234970 = V654181 - 1. assign V712193 = V012065 - 1. assign V751784 = V856987 - 1. assign V651052 = V471340. assign V809049 = V012065. assign V891341 = V138016 - 1. assign V329694 = V790976 + 1. assign V233765 = V965117 - 1. assign V558711 = V290157 - 1. assign V730799 = V680319. assign V804437 = V636746 - 1. assign V981285 = V342413 - 1. assign V331940 = V837185 + 1. assign V682354 = V944796 - 1. assign V684813 = V168626 + 1. assign V336908 = V716060 + 1. assign V681713 = V380131 + 1. assign V728948 = V252500 + 1. assign V641094 = V133722. assign V654181 = V096885 + 1. assign V192184 = V375781. assign V330122 = V412886 + 1. assign V252500 = V471340 - 1. assign V684497 = V089033. assign V636746 = V965117 + 1. assign V356663 = V980150. assign V031629 = V776112 + 1. assign V634644 = V856987. assign V583692 = V837185. assign V342413 = V559730 + 1. assign V856308 = V067986 + 1. assign V837185 = V096885 - 1. assign V377247 = V636746. assign V716060 = V634644 + 1. assign V154619 = V984129 + 1. assign V077399 = V126996 - 1. assign V277890 = V468318 - 1. assign V350460 = V126996 - 1. assign V226981 = V783245 - 1. assign V479323 = V837185. assign V407944 = V812558. assign V812558 = V471340. assign V584045 = V381436. assign V296679 = V032724. assign V089033 = V381436 - 1. assign V630529 = V545462 + 1. assign V570488 = V634644 + 1. assign V381436 = V941808 + 1. assign V315972 = V559730 + 1. assign V138016 = V751784. assign V617671 = V944796. assign V290383 = V141952 - 1. assign V392788 = V965117 + 1. assign V645850 = V082929. assign V000964 = V330122. assign V776112 = V331940 - 1. assign V496874 = V923170 - 1. assign V146247 = V852381 - 1. assign V188320 = V096885 + 1. assign V133722 = V778076. assign V770457 = V175536 - 1. assign V455626 = V471340 - 1. assign V700100 = V684497 - 1. assign V963573 = V941808 + 1. assign V980150 = V941808 - 1. assign V936523 = V272837 + 1. assign V664947 = V342413. assign V631048 = V700010 - 1. assign V412886 = V998252 - 1. assign V697176 = V092864 + 1. assign V941808 = V120158 - 1. assign V437757 = V804437. assign V680319 = V272837. assign V541511 = V096885. assign V168626 = V864911 - 1. assign V340806 = V272837. assign V969517 = V942236 - 1. assign V655471 = V936523 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V290157 = V963573 + 1. assign V147719 = V697176 - 1. assign V438963 = V330122. assign V268849 = V837185 + 1. assign V380131 = 9. assign V004563 = V636746 - 1. assign V118087 = V001027 + 1. assign V470166 = V687333 - 1. assign V092864 = V188320. assign V908873 = V716060. assign V897377 = V998252. assign V349426 = V141952 - 1. assign V352526 = V012065 + 1. assign V796198 = V182519. assign V770873 = V941808 - 1. assign V780437 = V545462 - 1. assign V931768 = V120158. assign V175536 = V965117 + 1. assign V472486 = V175536 + 1. assign V733650 = V233765. assign V067986 = V352526 - 1. assign V337712 = V944796 + 1. assign V788958 = V188320 - 1. assign V810981 = V272837 + 1. assign V101046 = V780437 - 1. assign V998252 = V687333 - 1. assign V916346 = V980150 - 1. assign V513348 = V654181. assign V124370 = V837185. assign V559730 = V923170 - 1. assign V999962 = V438963 - 1. assign V082929 = V941808. assign V942236 = V826293 + 1. assign V096885 = V944796 + 1. assign V790976 = V545462 - 1. assign V673246 = V510067 - 1. assign V157536 = V342413 + 1. assign V856987 = V931768 - 1. assign V984129 = V700010. assign V315163 = V583692. assign V562880 = V272837. assign V510067 = V965117 + 1. assign V700010 = V923170. assign V272837 = V471340 + 1. assign V130028 = V776112 - 1. assign V852381 = V416558 - 1. assign V819943 = V133722 - 1. assign V068311 = V120158 - 1. assign V430133 = V777002. assign V141952 = V437757 - 1. assign V777002 = V687333 - 1. assign V944130 = V812558 - 1. assign V711537 = V375781. assign V595767 = V125801 + 1. assign V518403 = V412886 + 1. assign V353987 = V412886. assign V126996 = V188320 + 1. assign V375781 = V455626. assign V012065 = V812558 - 1. assign V120158 = V687333. assign V692302 = V790976 + 1. assign V864911 = V700010 - 1. assign V760712 = V804437 - 1. assign V182519 = V496874. assign V965117 = V272837 - 1. assign V783245 = V496874 + 1. assign V944796 = V412886 + 1. assign V603681 = V437757 + 1. assign V778076 = V125801. assign V575957 = V711537. assign V403642 = V437757 + 1. assign V416558 = V963573 + 1. assign V032724 = V654181. assign V125801 = V583692 - 1. assign V468318 = V730799 + 1. assign V545462 = V004563 + 1. assign V381447 = V496874. assign V086363 = V330122. assign V222393 = V381436. assign V923170 = V941808 - 1. assign V759299 = V809049 - 1. assign V164356 = V133722 - 1. assign V646748 = V336908 - 1. assign V048467 = V856987. assign V786475 = V120158 - 1. assign V972000 = V089033 + 1. assign V826293 = V416558. assign V001027 = V416558. assign V157344 = V124370. assign V084484 = V353987 + 1. assign V471340 = V687333. assign V688290 = V631048. assign V279142 = V809049 - 1. assign V581483 = V562880 - 1. assign V234970 = V654181 - 1. assign V712193 = V012065 - 1. assign V751784 = V856987 - 1. assign V651052 = V471340. assign V809049 = V012065. assign V891341 = V138016 - 1. assign V329694 = V790976 + 1. assign V233765 = V965117 - 1. assign V558711 = V290157 - 1. assign V730799 = V680319. assign V804437 = V636746 - 1. assign V981285 = V342413 - 1. assign V331940 = V837185 + 1. assign V682354 = V944796 - 1. assign V684813 = V168626 + 1. assign V336908 = V716060 + 1. assign V681713 = V380131 + 1. assign V728948 = V252500 + 1. assign V641094 = V133722. assign V654181 = V096885 + 1. assign V192184 = V375781. assign V330122 = V412886 + 1. assign V252500 = V471340 - 1. assign V684497 = V089033. assign V636746 = V965117 + 1. assign V356663 = V980150. assign V031629 = V776112 + 1. assign V634644 = V856987. assign V583692 = V837185. assign V342413 = V559730 + 1. assign V856308 = V067986 + 1. assign V837185 = V096885 - 1. assign V377247 = V636746. assign V716060 = V634644 + 1. assign V154619 = V984129 + 1. assign V077399 = V126996 - 1. assign V277890 = V468318 - 1. assign V350460 = V126996 - 1. assign V226981 = V783245 - 1. assign V479323 = V837185. assign V407944 = V812558. assign V812558 = V471340. assign V584045 = V381436. assign V296679 = V032724. assign V089033 = V381436 - 1. assign V630529 = V545462 + 1. assign V570488 = V634644 + 1. assign V381436 = V941808 + 1. assign V315972 = V559730 + 1. assign V138016 = V751784. assign V617671 = V944796. assign V290383 = V141952 - 1. assign V392788 = V965117 + 1. assign V645850 = V082929. assign V000964 = V330122. assign V776112 = V331940 - 1. assign V496874 = V923170 - 1. assign V146247 = V852381 - 1. assign V188320 = V096885 + 1. assign V133722 = V778076. assign V770457 = V175536 - 1. assign V455626 = V471340 - 1. assign V700100 = V684497 - 1. assign V963573 = V941808 + 1. assign V980150 = V941808 - 1. assign V936523 = V272837 + 1. assign V664947 = V342413. assign V631048 = V700010 - 1. assign V412886 = V998252 - 1. assign V697176 = V092864 + 1. assign V941808 = V120158 - 1. assign V437757 = V804437. assign V680319 = V272837. assign V541511 = V096885. assign V168626 = V864911 - 1. assign V340806 = V272837. assign V969517 = V942236 - 1. assign V655471 = V936523 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV380131 = 9;\n\nFrom these direct assignment(s), we have: \nV681713 = V380131 + 1 = 9 + 1 =10;\nNo other variables can be derived from V681713;\nNo other variables can be derived from V380131;\n\nNow we have done all the calculations. Derived variables are:\nV380131 = 9;\nV681713 = 10;\n\nNow we have finished this problem. ANSWER:\nV380131\n", "role": "assistant" } ]

[ "V907439" ]

[ { "content": "<context>\nassign V505158 = V740275 - 1. assign V335645 = V667541 + 1. assign V828492 = V350426 - 1. assign V505611 = V559839 - 1. assign V295219 = V048739 + 1. assign V314274 = V435984. assign V676640 = V409864 - 1. assign V723327 = V007526. assign V233126 = V396205. assign V076978 = V828492. assign V274443 = 4. assign V740275 = V393023 - 1. assign V805422 = V112915 - 1. assign V482581 = V600172 + 1. assign V799087 = V504678 - 1. assign V966044 = V805422. assign V594272 = V353648 + 1. assign V813986 = V582939. assign V646621 = V246797. assign V258283 = V440343. assign V865388 = V076978. assign V487140 = V740019 + 1. assign V815381 = V711516 - 1. assign V774837 = V582939. assign V497625 = V230665 + 1. assign V638739 = V676640 - 1. assign V088066 = V237683 + 1. assign V981679 = V676640. assign V312829 = V335645. assign V467884 = V096834 + 1. assign V747672 = V778034. assign V429541 = V435984 - 1. assign V688340 = V041806 + 1. assign V807572 = V568100 + 1. assign V471329 = V258283 + 1. assign V444113 = V295042 + 1. assign V667541 = V582939 + 1. assign V095266 = V916914 - 1. assign V943487 = V778034. assign V778034 = V582939. assign V481902 = V815381. assign V450947 = V523996 - 1. assign V077007 = V414393 + 1. assign V911921 = V676640 + 1. assign V629149 = V740942 + 1. assign V048739 = V740942. assign V295042 = V381732 + 1. assign V615163 = V350426 - 1. assign V632803 = V828492. assign V639262 = V088066 - 1. assign V316822 = V714354. assign V797808 = V667541 - 1. assign V237683 = V676640. assign V903628 = V076978. assign V740019 = V593171 - 1. assign V267544 = V981679. assign V416451 = V381732. assign V419217 = V314274. assign V510509 = V041806 - 1. assign V435984 = V815381. assign V379976 = V797808. assign V893046 = V884708 - 1. assign V134730 = V030347. assign V354108 = V819194. assign V948305 = V379976 + 1. assign V409864 = V593171 - 1. assign V603008 = V752557. assign V725523 = V007526. assign V052619 = V414393. assign V440343 = V230665. assign V337852 = V714354. assign V199353 = V943487 - 1. assign V600172 = V905450 + 1. assign V407044 = V134730 + 1. assign V126070 = V295219. assign V353648 = V466500 + 1. assign V022930 = V805422 + 1. assign V198934 = V030347. assign V552225 = V857507 - 1. assign V246797 = V389172 - 1. assign V559839 = V407044 - 1. assign V085519 = V813986. assign V019396 = V435984 + 1. assign V547883 = V929895 - 1. assign V384103 = V440343 - 1. assign V752557 = V815381 - 1. assign V286338 = V676640 - 1. assign V230665 = V414393 - 1. assign V350768 = V857507. assign V820798 = V233126 + 1. assign V797676 = V350426 + 1. assign V991197 = V646621. assign V658654 = V041806. assign V857507 = V230665 + 1. assign V388044 = V725523 + 1. assign V582939 = V815381 - 1. assign V414393 = V711516 + 1. assign V333111 = V797676. assign V125937 = V752557. assign V929895 = V409864 + 1. assign V994249 = V481902 - 1. assign V845032 = V204156. assign V646850 = V714354 - 1. assign V963341 = V920278 + 1. assign V090356 = V963341 + 1. assign V593171 = V714354 + 1. assign V920278 = V593171 + 1. assign V004524 = V555751 - 1. assign V916914 = V505611 - 1. assign V994864 = V144982. assign V490727 = V893810 - 1. assign V714354 = V582939 + 1. assign V326909 = V605482. assign V059072 = V352359 + 1. assign V396205 = V973914 - 1. assign V115986 = V497625. assign V381732 = V384103 + 1. assign V383512 = V179017 + 1. assign V386788 = V815381 + 1. assign V380609 = V414393 + 1. assign V350426 = V740019 + 1. assign V466500 = V646621 + 1. assign V450809 = V144982 + 1. assign V393023 = V582939 - 1. assign V003803 = V819194 - 1. assign V389172 = V409864. assign V015959 = V004524. assign V893810 = V593171 + 1. assign V981877 = V015959 + 1. assign V678665 = V797676. assign V684999 = V076978. assign V572976 = V219134 + 1. assign V819194 = V667541 + 1. assign V530589 = V593171. assign V144982 = V030347. assign V240752 = V286338 + 1. assign V605482 = V857507. assign V568100 = V076978. assign V352359 = V144982 + 1. assign V626284 = V389172. assign V740942 = V384103 + 1. assign V030347 = V414393. assign V219134 = V440343. assign V007526 = V797808 - 1. assign V714388 = V714354 - 1. assign V204156 = V407044 + 1. assign V907439 = V274443 + 1. assign V523996 = V048739. assign V593535 = V658654 + 1. assign V362717 = V230665 + 1. assign V980736 = V471329 - 1. assign V112915 = V316822 + 1. assign V039137 = V603008 + 1. assign V905450 = V409864 + 1. assign V871334 = V487140 + 1. assign V096834 = V003803 - 1. assign V144009 = V440343. assign V555751 = V230665 - 1. assign V179017 = V389172 + 1. assign V734855 = V903628 + 1. assign V504678 = V414393 - 1. assign V132133 = V414393 + 1. assign V993704 = V384103 - 1. assign V309974 = V582939 - 1. assign V097382 = V352359 - 1. assign V615174 = V003803 + 1. assign V987264 = V778034 + 1. assign V059397 = V632803 - 1. assign V041806 = V667541. assign V004873 = V639262. assign V884708 = V409864. assign V973914 = V335645 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V505158 = V740275 - 1. assign V335645 = V667541 + 1. assign V828492 = V350426 - 1. assign V505611 = V559839 - 1. assign V295219 = V048739 + 1. assign V314274 = V435984. assign V676640 = V409864 - 1. assign V723327 = V007526. assign V233126 = V396205. assign V076978 = V828492. assign V274443 = 4. assign V740275 = V393023 - 1. assign V805422 = V112915 - 1. assign V482581 = V600172 + 1. assign V799087 = V504678 - 1. assign V966044 = V805422. assign V594272 = V353648 + 1. assign V813986 = V582939. assign V646621 = V246797. assign V258283 = V440343. assign V865388 = V076978. assign V487140 = V740019 + 1. assign V815381 = V711516 - 1. assign V774837 = V582939. assign V497625 = V230665 + 1. assign V638739 = V676640 - 1. assign V088066 = V237683 + 1. assign V981679 = V676640. assign V312829 = V335645. assign V467884 = V096834 + 1. assign V747672 = V778034. assign V429541 = V435984 - 1. assign V688340 = V041806 + 1. assign V807572 = V568100 + 1. assign V471329 = V258283 + 1. assign V444113 = V295042 + 1. assign V667541 = V582939 + 1. assign V095266 = V916914 - 1. assign V943487 = V778034. assign V778034 = V582939. assign V481902 = V815381. assign V450947 = V523996 - 1. assign V077007 = V414393 + 1. assign V911921 = V676640 + 1. assign V629149 = V740942 + 1. assign V048739 = V740942. assign V295042 = V381732 + 1. assign V615163 = V350426 - 1. assign V632803 = V828492. assign V639262 = V088066 - 1. assign V316822 = V714354. assign V797808 = V667541 - 1. assign V237683 = V676640. assign V903628 = V076978. assign V740019 = V593171 - 1. assign V267544 = V981679. assign V416451 = V381732. assign V419217 = V314274. assign V510509 = V041806 - 1. assign V435984 = V815381. assign V379976 = V797808. assign V893046 = V884708 - 1. assign V134730 = V030347. assign V354108 = V819194. assign V948305 = V379976 + 1. assign V409864 = V593171 - 1. assign V603008 = V752557. assign V725523 = V007526. assign V052619 = V414393. assign V440343 = V230665. assign V337852 = V714354. assign V199353 = V943487 - 1. assign V600172 = V905450 + 1. assign V407044 = V134730 + 1. assign V126070 = V295219. assign V353648 = V466500 + 1. assign V022930 = V805422 + 1. assign V198934 = V030347. assign V552225 = V857507 - 1. assign V246797 = V389172 - 1. assign V559839 = V407044 - 1. assign V085519 = V813986. assign V019396 = V435984 + 1. assign V547883 = V929895 - 1. assign V384103 = V440343 - 1. assign V752557 = V815381 - 1. assign V286338 = V676640 - 1. assign V230665 = V414393 - 1. assign V350768 = V857507. assign V820798 = V233126 + 1. assign V797676 = V350426 + 1. assign V991197 = V646621. assign V658654 = V041806. assign V857507 = V230665 + 1. assign V388044 = V725523 + 1. assign V582939 = V815381 - 1. assign V414393 = V711516 + 1. assign V333111 = V797676. assign V125937 = V752557. assign V929895 = V409864 + 1. assign V994249 = V481902 - 1. assign V845032 = V204156. assign V646850 = V714354 - 1. assign V963341 = V920278 + 1. assign V090356 = V963341 + 1. assign V593171 = V714354 + 1. assign V920278 = V593171 + 1. assign V004524 = V555751 - 1. assign V916914 = V505611 - 1. assign V994864 = V144982. assign V490727 = V893810 - 1. assign V714354 = V582939 + 1. assign V326909 = V605482. assign V059072 = V352359 + 1. assign V396205 = V973914 - 1. assign V115986 = V497625. assign V381732 = V384103 + 1. assign V383512 = V179017 + 1. assign V386788 = V815381 + 1. assign V380609 = V414393 + 1. assign V350426 = V740019 + 1. assign V466500 = V646621 + 1. assign V450809 = V144982 + 1. assign V393023 = V582939 - 1. assign V003803 = V819194 - 1. assign V389172 = V409864. assign V015959 = V004524. assign V893810 = V593171 + 1. assign V981877 = V015959 + 1. assign V678665 = V797676. assign V684999 = V076978. assign V572976 = V219134 + 1. assign V819194 = V667541 + 1. assign V530589 = V593171. assign V144982 = V030347. assign V240752 = V286338 + 1. assign V605482 = V857507. assign V568100 = V076978. assign V352359 = V144982 + 1. assign V626284 = V389172. assign V740942 = V384103 + 1. assign V030347 = V414393. assign V219134 = V440343. assign V007526 = V797808 - 1. assign V714388 = V714354 - 1. assign V204156 = V407044 + 1. assign V907439 = V274443 + 1. assign V523996 = V048739. assign V593535 = V658654 + 1. assign V362717 = V230665 + 1. assign V980736 = V471329 - 1. assign V112915 = V316822 + 1. assign V039137 = V603008 + 1. assign V905450 = V409864 + 1. assign V871334 = V487140 + 1. assign V096834 = V003803 - 1. assign V144009 = V440343. assign V555751 = V230665 - 1. assign V179017 = V389172 + 1. assign V734855 = V903628 + 1. assign V504678 = V414393 - 1. assign V132133 = V414393 + 1. assign V993704 = V384103 - 1. assign V309974 = V582939 - 1. assign V097382 = V352359 - 1. assign V615174 = V003803 + 1. assign V987264 = V778034 + 1. assign V059397 = V632803 - 1. assign V041806 = V667541. assign V004873 = V639262. assign V884708 = V409864. assign V973914 = V335645 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV274443 = 4;\n\nFrom these direct assignment(s), we have: \nV907439 = V274443 + 1 = 4 + 1 =5;\nNo other variables can be derived from V907439;\nNo other variables can be derived from V274443;\n\nNow we have done all the calculations. Derived variables are:\nV274443 = 4;\nV907439 = 5;\n\nNow we have finished this problem. ANSWER:\nV907439\n", "role": "assistant" } ]

[ "V645936" ]

[ { "content": "<context>\nassign V984579 = V274691 + 1. assign V266557 = V109679 - 1. assign V722156 = V106163. assign V885250 = V720227. assign V441646 = V145191 + 1. assign V139106 = V552837. assign V657411 = V513512 + 1. assign V427775 = V050735 - 1. assign V544890 = V323279 - 1. assign V215664 = V139106. assign V776250 = V461188 - 1. assign V891603 = V182918 - 1. assign V711602 = V045385 - 1. assign V274691 = V036408 + 1. assign V368262 = V274691 + 1. assign V045385 = V657411. assign V518999 = V552837 - 1. assign V050735 = V258155 + 1. assign V781361 = V036408 - 1. assign V562800 = V722767 - 1. assign V549390 = V720227. assign V106163 = V468472. assign V736067 = V512567. assign V517004 = V681130 - 1. assign V750802 = V269542 + 1. assign V605289 = V737766. assign V927328 = V819917 + 1. assign V456743 = V211966 - 1. assign V455269 = V659188 + 1. assign V722767 = V162631 - 1. assign V370771 = V657411 - 1. assign V323279 = V522855 + 1. assign V567517 = V724270 + 1. assign V524940 = V657411. assign V620627 = V382593 - 1. assign V978338 = V021510 - 1. assign V061865 = V657411 - 1. assign V036408 = V678928 + 1. assign V659188 = V106163. assign V724270 = V109679 - 1. assign V134890 = V796198 + 1. assign V921199 = V586561. assign V931231 = V384873. assign V553061 = V437321 - 1. assign V189865 = V109679 - 1. assign V785018 = V456743 + 1. assign V222196 = V678928 + 1. assign V411615 = V468472 + 1. assign V904991 = V437321 - 1. assign V714911 = V106163 - 1. assign V488663 = V678928 - 1. assign V468472 = V000708 + 1. assign V720227 = V411615 + 1. assign V269542 = V782216 + 1. assign V822336 = V139106 + 1. assign V892496 = V776250 - 1. assign V655817 = V581678. assign V522855 = V368262 + 1. assign V038807 = V797797 + 1. assign V211966 = V274691. assign V164100 = V646438 - 1. assign V957594 = V912320 + 1. assign V648750 = V405188. assign V070035 = V545299 - 1. assign V606837 = V678928. assign V523488 = V189865 + 1. assign V314621 = V243736 + 1. assign V678928 = V581678. assign V265195 = V320355 - 1. assign V947103 = V106163 + 1. assign V646438 = V070035 + 1. assign V167526 = V274691 - 1. assign V430624 = V106163. assign V166125 = V931231 + 1. assign V651277 = V050735 + 1. assign V280177 = V189865 - 1. assign V028199 = V320355 - 1. assign V049949 = V045385 - 1. assign V819917 = V931231 - 1. assign V317255 = V320355. assign V162631 = V659188 - 1. assign V513512 = V167526. assign V068108 = V323279 + 1. assign V085958 = V036408 - 1. assign V258028 = V028199. assign V985940 = V036408. assign V109679 = V274691. assign V006700 = V166125 + 1. assign V339542 = V342010 + 1. assign V586561 = V598235 - 1. assign V683451 = V819917. assign V735859 = V523488 + 1. assign V926142 = V173059 - 1. assign V145191 = V545299 - 1. assign V676325 = V173059 - 1. assign V673388 = V522855 + 1. assign V912320 = V280177 + 1. assign V737766 = V182918. assign V552958 = V167526 + 1. assign V545299 = V106163 - 1. assign V796198 = V620627 + 1. assign V243736 = V411615 + 1. assign V225374 = V382593 + 1. assign V681438 = V468472 - 1. assign V043494 = V646664 - 1. assign V050173 = V382593 - 1. assign V190046 = V045385 + 1. assign V552837 = V581678. assign V716888 = V028199 + 1. assign V209679 = V678928 - 1. assign V410350 = V109679 + 1. assign V709385 = V785232. assign V204550 = V518999 + 1. assign V258155 = V189865 + 1. assign V079495 = V681130. assign V461188 = V620627 + 1. assign V851014 = V045385 + 1. assign V509295 = V978338 + 1. assign V475930 = V106163 - 1. assign V142652 = V826363. assign V681130 = V162631 - 1. assign V320355 = V437321 - 1. assign V785232 = V368262. assign V648904 = V931231. assign V135098 = V265195 - 1. assign V515103 = V648750 + 1. assign V342010 = V139106 + 1. assign V581678 = V000708 - 1. assign V394584 = V645936 + 1. assign V947979 = V797797. assign V901146 = V984579 - 1. assign V245108 = V006700. assign V923752 = V068108. assign V182918 = V468472. assign V425581 = V461188. assign V782216 = V368262 - 1. assign V041681 = V598235 - 1. assign V405188 = V276495 - 1. assign V382593 = V437321 - 1. assign V380320 = V931231 - 1. assign V152834 = V522855 + 1. assign V885074 = V912320 - 1. assign V100545 = V382593 + 1. assign V950037 = V586561 - 1. assign V931453 = V167526. assign V645936 = 4. assign V993308 = V488663 - 1. assign V267154 = V947103. assign V598235 = V549390 + 1. assign V230799 = V222196 + 1. assign V797797 = V167526 - 1. assign V374057 = V461188 + 1. assign V657418 = V468472 - 1. assign V276495 = V513512 + 1. assign V832110 = V657411 - 1. assign V975858 = V164100 - 1. assign V021510 = V931231. assign V512567 = V657418. assign V646664 = V384873. assign V384873 = V581678. assign V116776 = V455269 - 1. assign V173059 = V258155 + 1. assign V895837 = V486837 + 1. assign V947655 = V280177. assign V818366 = V342010 - 1. assign V305001 = V410350 - 1. assign V681045 = V269542. assign V437321 = V552837 - 1. assign V543811 = V515103 - 1. assign V364906 = V006700. assign V486837 = V384873 - 1. assign V826363 = V430624.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V984579 = V274691 + 1. assign V266557 = V109679 - 1. assign V722156 = V106163. assign V885250 = V720227. assign V441646 = V145191 + 1. assign V139106 = V552837. assign V657411 = V513512 + 1. assign V427775 = V050735 - 1. assign V544890 = V323279 - 1. assign V215664 = V139106. assign V776250 = V461188 - 1. assign V891603 = V182918 - 1. assign V711602 = V045385 - 1. assign V274691 = V036408 + 1. assign V368262 = V274691 + 1. assign V045385 = V657411. assign V518999 = V552837 - 1. assign V050735 = V258155 + 1. assign V781361 = V036408 - 1. assign V562800 = V722767 - 1. assign V549390 = V720227. assign V106163 = V468472. assign V736067 = V512567. assign V517004 = V681130 - 1. assign V750802 = V269542 + 1. assign V605289 = V737766. assign V927328 = V819917 + 1. assign V456743 = V211966 - 1. assign V455269 = V659188 + 1. assign V722767 = V162631 - 1. assign V370771 = V657411 - 1. assign V323279 = V522855 + 1. assign V567517 = V724270 + 1. assign V524940 = V657411. assign V620627 = V382593 - 1. assign V978338 = V021510 - 1. assign V061865 = V657411 - 1. assign V036408 = V678928 + 1. assign V659188 = V106163. assign V724270 = V109679 - 1. assign V134890 = V796198 + 1. assign V921199 = V586561. assign V931231 = V384873. assign V553061 = V437321 - 1. assign V189865 = V109679 - 1. assign V785018 = V456743 + 1. assign V222196 = V678928 + 1. assign V411615 = V468472 + 1. assign V904991 = V437321 - 1. assign V714911 = V106163 - 1. assign V488663 = V678928 - 1. assign V468472 = V000708 + 1. assign V720227 = V411615 + 1. assign V269542 = V782216 + 1. assign V822336 = V139106 + 1. assign V892496 = V776250 - 1. assign V655817 = V581678. assign V522855 = V368262 + 1. assign V038807 = V797797 + 1. assign V211966 = V274691. assign V164100 = V646438 - 1. assign V957594 = V912320 + 1. assign V648750 = V405188. assign V070035 = V545299 - 1. assign V606837 = V678928. assign V523488 = V189865 + 1. assign V314621 = V243736 + 1. assign V678928 = V581678. assign V265195 = V320355 - 1. assign V947103 = V106163 + 1. assign V646438 = V070035 + 1. assign V167526 = V274691 - 1. assign V430624 = V106163. assign V166125 = V931231 + 1. assign V651277 = V050735 + 1. assign V280177 = V189865 - 1. assign V028199 = V320355 - 1. assign V049949 = V045385 - 1. assign V819917 = V931231 - 1. assign V317255 = V320355. assign V162631 = V659188 - 1. assign V513512 = V167526. assign V068108 = V323279 + 1. assign V085958 = V036408 - 1. assign V258028 = V028199. assign V985940 = V036408. assign V109679 = V274691. assign V006700 = V166125 + 1. assign V339542 = V342010 + 1. assign V586561 = V598235 - 1. assign V683451 = V819917. assign V735859 = V523488 + 1. assign V926142 = V173059 - 1. assign V145191 = V545299 - 1. assign V676325 = V173059 - 1. assign V673388 = V522855 + 1. assign V912320 = V280177 + 1. assign V737766 = V182918. assign V552958 = V167526 + 1. assign V545299 = V106163 - 1. assign V796198 = V620627 + 1. assign V243736 = V411615 + 1. assign V225374 = V382593 + 1. assign V681438 = V468472 - 1. assign V043494 = V646664 - 1. assign V050173 = V382593 - 1. assign V190046 = V045385 + 1. assign V552837 = V581678. assign V716888 = V028199 + 1. assign V209679 = V678928 - 1. assign V410350 = V109679 + 1. assign V709385 = V785232. assign V204550 = V518999 + 1. assign V258155 = V189865 + 1. assign V079495 = V681130. assign V461188 = V620627 + 1. assign V851014 = V045385 + 1. assign V509295 = V978338 + 1. assign V475930 = V106163 - 1. assign V142652 = V826363. assign V681130 = V162631 - 1. assign V320355 = V437321 - 1. assign V785232 = V368262. assign V648904 = V931231. assign V135098 = V265195 - 1. assign V515103 = V648750 + 1. assign V342010 = V139106 + 1. assign V581678 = V000708 - 1. assign V394584 = V645936 + 1. assign V947979 = V797797. assign V901146 = V984579 - 1. assign V245108 = V006700. assign V923752 = V068108. assign V182918 = V468472. assign V425581 = V461188. assign V782216 = V368262 - 1. assign V041681 = V598235 - 1. assign V405188 = V276495 - 1. assign V382593 = V437321 - 1. assign V380320 = V931231 - 1. assign V152834 = V522855 + 1. assign V885074 = V912320 - 1. assign V100545 = V382593 + 1. assign V950037 = V586561 - 1. assign V931453 = V167526. assign V645936 = 4. assign V993308 = V488663 - 1. assign V267154 = V947103. assign V598235 = V549390 + 1. assign V230799 = V222196 + 1. assign V797797 = V167526 - 1. assign V374057 = V461188 + 1. assign V657418 = V468472 - 1. assign V276495 = V513512 + 1. assign V832110 = V657411 - 1. assign V975858 = V164100 - 1. assign V021510 = V931231. assign V512567 = V657418. assign V646664 = V384873. assign V384873 = V581678. assign V116776 = V455269 - 1. assign V173059 = V258155 + 1. assign V895837 = V486837 + 1. assign V947655 = V280177. assign V818366 = V342010 - 1. assign V305001 = V410350 - 1. assign V681045 = V269542. assign V437321 = V552837 - 1. assign V543811 = V515103 - 1. assign V364906 = V006700. assign V486837 = V384873 - 1. assign V826363 = V430624.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV645936 = 4;\n\nFrom these direct assignment(s), we have: \nV394584 = V645936 + 1 = 4 + 1 =5;\nNo other variables can be derived from V394584;\nNo other variables can be derived from V645936;\n\nNow we have done all the calculations. Derived variables are:\nV645936 = 4;\nV394584 = 5;\n\nNow we have finished this problem. ANSWER:\nV645936\n", "role": "assistant" } ]

[ "V479042" ]

[ { "content": "<context>\nassign V628557 = V220077. assign V829780 = V367853 + 1. assign V940195 = V276921 - 1. assign V681750 = V073019 + 1. assign V014514 = V866653. assign V798646 = V007136 + 1. assign V073019 = V666651 + 1. assign V601407 = V018635. assign V598062 = V108756 + 1. assign V007136 = V453588 + 1. assign V791897 = V666651. assign V738157 = V766110 + 1. assign V249315 = V616596 - 1. assign V701583 = V738157. assign V795789 = V851210. assign V505353 = V220077 + 1. assign V367853 = V727347 + 1. assign V361510 = V762645. assign V059100 = V762645. assign V607143 = V282458 + 1. assign V010562 = V750003 - 1. assign V108756 = V223274 + 1. assign V309298 = V873069 + 1. assign V732760 = V873069 + 1. assign V067757 = V400475 - 1. assign V482974 = V220077 + 1. assign V018635 = V720455. assign V352962 = V572293 + 1. assign V434043 = V561649. assign V880133 = V764997 + 1. assign V866653 = V720455. assign V571347 = V611579. assign V439733 = V223255 - 1. assign V525295 = V515076. assign V161295 = V880133. assign V610626 = V987229. assign V776019 = V283053 + 1. assign V939827 = V750003. assign V392907 = V617614 - 1. assign V212465 = V016175. assign V496509 = V108756 + 1. assign V879451 = V282458 + 1. assign V100050 = V572293 - 1. assign V062458 = V139929. assign V279028 = V611579 - 1. assign V178307 = V845733 - 1. assign V549726 = V367853. assign V434878 = V378481. assign V961349 = V108756. assign V742765 = V223255. assign V561649 = V279028. assign V750003 = V616596. assign V657259 = V953134 - 1. assign V616596 = V774569 + 1. assign V350889 = V638785 - 1. assign V720455 = V666651. assign V467808 = V601407. assign V345910 = V276921 + 1. assign V029095 = V851533 + 1. assign V958511 = V670962 + 1. assign V175927 = V281016 + 1. assign V645758 = V561649 + 1. assign V622011 = V674829. assign V318829 = V674829 + 1. assign V368111 = V387334 - 1. assign V115528 = V776286. assign V307844 = V766110. assign V979232 = V357636 - 1. assign V359528 = V276921 - 1. assign V572293 = V953134 - 1. assign V223274 = V081206 + 1. assign V215631 = V247372. assign V899167 = V699508. assign V252114 = V551868 - 1. assign V680898 = V701443. assign V060481 = V016175. assign V016175 = V279028 + 1. assign V276921 = V628557 - 1. assign V863073 = V437861 + 1. assign V453588 = V939886. assign V939886 = V175927. assign V962517 = V776286 - 1. assign V634202 = V400475 + 1. assign V832805 = V281016 - 1. assign V277843 = V081206 + 1. assign V851533 = V953134. assign V301296 = V387334 + 1. assign V794660 = V766110. assign V578619 = V223274. assign V699508 = V409607. assign V249007 = V301296 + 1. assign V611579 = V774569 + 1. assign V772836 = V657259. assign V873069 = V108756 + 1. assign V479042 = V452357 - 1. assign V247372 = V894390 + 1. assign V397887 = V090083 - 1. assign V368464 = V073019 + 1. assign V583505 = V735809 + 1. assign V735809 = V525295. assign V011437 = V178307 + 1. assign V141345 = V572293 - 1. assign V860015 = V685968 + 1. assign V281016 = V774569. assign V282458 = V175927 + 1. assign V457939 = V851210 + 1. assign V654022 = V561649 + 1. assign V123431 = V012889 - 1. assign V672679 = V899167 - 1. assign V264636 = V108756 + 1. assign V452357 = 6. assign V515076 = V611579. assign V894390 = V851533. assign V762645 = V016061. assign V218289 = V866653 - 1. assign V670962 = V016175 - 1. assign V766110 = V657259 - 1. assign V776286 = V791897. assign V315914 = V873069 - 1. assign V674829 = V794660 - 1. assign V220077 = V987229 + 1. assign V283053 = V791897. assign V156138 = V774569. assign V068960 = V851533. assign V038243 = V281016 + 1. assign V400475 = V794660 + 1. assign V764997 = V666651 + 1. assign V081206 = V666651 + 1. assign V223255 = V081206 + 1. assign V418114 = V674829 + 1. assign V016061 = V851533 + 1. assign V378481 = V769871 + 1. assign V090083 = V666651. assign V701443 = V657259 - 1. assign V685968 = V100050 + 1. assign V303072 = V611579 + 1. assign V358847 = V666651 - 1. assign V727347 = V769871 - 1. assign V652830 = V352468 + 1. assign V741251 = V029095 - 1. assign V281614 = V657259 + 1. assign V310968 = V732760 - 1. assign V352468 = V674829 + 1. assign V387334 = V880133. assign V761023 = V218289 - 1. assign V746377 = V218289 - 1. assign V551868 = V670962 - 1. assign V617614 = V666651 + 1. assign V774569 = V617614 - 1. assign V012889 = V939886 + 1. assign V851210 = V178307. assign V442377 = V315914. assign V157230 = V367853 - 1. assign V422713 = V457939 + 1. assign V754633 = V776286. assign V636787 = V068960. assign V357636 = V178307 + 1. assign V845733 = V617614 + 1. assign V521389 = V866653 + 1. assign V834895 = V011437. assign V404791 = V791897 + 1. assign V061618 = V352962 + 1. assign V329618 = V309298. assign V953134 = V081206 + 1. assign V157375 = V283053. assign V769871 = V776286. assign V987229 = V774569 - 1. assign V409607 = V277843 + 1. assign V528237 = V634202 + 1. assign V638785 = V939886. assign V437861 = V220077 - 1. assign V139929 = V223274 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V628557 = V220077. assign V829780 = V367853 + 1. assign V940195 = V276921 - 1. assign V681750 = V073019 + 1. assign V014514 = V866653. assign V798646 = V007136 + 1. assign V073019 = V666651 + 1. assign V601407 = V018635. assign V598062 = V108756 + 1. assign V007136 = V453588 + 1. assign V791897 = V666651. assign V738157 = V766110 + 1. assign V249315 = V616596 - 1. assign V701583 = V738157. assign V795789 = V851210. assign V505353 = V220077 + 1. assign V367853 = V727347 + 1. assign V361510 = V762645. assign V059100 = V762645. assign V607143 = V282458 + 1. assign V010562 = V750003 - 1. assign V108756 = V223274 + 1. assign V309298 = V873069 + 1. assign V732760 = V873069 + 1. assign V067757 = V400475 - 1. assign V482974 = V220077 + 1. assign V018635 = V720455. assign V352962 = V572293 + 1. assign V434043 = V561649. assign V880133 = V764997 + 1. assign V866653 = V720455. assign V571347 = V611579. assign V439733 = V223255 - 1. assign V525295 = V515076. assign V161295 = V880133. assign V610626 = V987229. assign V776019 = V283053 + 1. assign V939827 = V750003. assign V392907 = V617614 - 1. assign V212465 = V016175. assign V496509 = V108756 + 1. assign V879451 = V282458 + 1. assign V100050 = V572293 - 1. assign V062458 = V139929. assign V279028 = V611579 - 1. assign V178307 = V845733 - 1. assign V549726 = V367853. assign V434878 = V378481. assign V961349 = V108756. assign V742765 = V223255. assign V561649 = V279028. assign V750003 = V616596. assign V657259 = V953134 - 1. assign V616596 = V774569 + 1. assign V350889 = V638785 - 1. assign V720455 = V666651. assign V467808 = V601407. assign V345910 = V276921 + 1. assign V029095 = V851533 + 1. assign V958511 = V670962 + 1. assign V175927 = V281016 + 1. assign V645758 = V561649 + 1. assign V622011 = V674829. assign V318829 = V674829 + 1. assign V368111 = V387334 - 1. assign V115528 = V776286. assign V307844 = V766110. assign V979232 = V357636 - 1. assign V359528 = V276921 - 1. assign V572293 = V953134 - 1. assign V223274 = V081206 + 1. assign V215631 = V247372. assign V899167 = V699508. assign V252114 = V551868 - 1. assign V680898 = V701443. assign V060481 = V016175. assign V016175 = V279028 + 1. assign V276921 = V628557 - 1. assign V863073 = V437861 + 1. assign V453588 = V939886. assign V939886 = V175927. assign V962517 = V776286 - 1. assign V634202 = V400475 + 1. assign V832805 = V281016 - 1. assign V277843 = V081206 + 1. assign V851533 = V953134. assign V301296 = V387334 + 1. assign V794660 = V766110. assign V578619 = V223274. assign V699508 = V409607. assign V249007 = V301296 + 1. assign V611579 = V774569 + 1. assign V772836 = V657259. assign V873069 = V108756 + 1. assign V479042 = V452357 - 1. assign V247372 = V894390 + 1. assign V397887 = V090083 - 1. assign V368464 = V073019 + 1. assign V583505 = V735809 + 1. assign V735809 = V525295. assign V011437 = V178307 + 1. assign V141345 = V572293 - 1. assign V860015 = V685968 + 1. assign V281016 = V774569. assign V282458 = V175927 + 1. assign V457939 = V851210 + 1. assign V654022 = V561649 + 1. assign V123431 = V012889 - 1. assign V672679 = V899167 - 1. assign V264636 = V108756 + 1. assign V452357 = 6. assign V515076 = V611579. assign V894390 = V851533. assign V762645 = V016061. assign V218289 = V866653 - 1. assign V670962 = V016175 - 1. assign V766110 = V657259 - 1. assign V776286 = V791897. assign V315914 = V873069 - 1. assign V674829 = V794660 - 1. assign V220077 = V987229 + 1. assign V283053 = V791897. assign V156138 = V774569. assign V068960 = V851533. assign V038243 = V281016 + 1. assign V400475 = V794660 + 1. assign V764997 = V666651 + 1. assign V081206 = V666651 + 1. assign V223255 = V081206 + 1. assign V418114 = V674829 + 1. assign V016061 = V851533 + 1. assign V378481 = V769871 + 1. assign V090083 = V666651. assign V701443 = V657259 - 1. assign V685968 = V100050 + 1. assign V303072 = V611579 + 1. assign V358847 = V666651 - 1. assign V727347 = V769871 - 1. assign V652830 = V352468 + 1. assign V741251 = V029095 - 1. assign V281614 = V657259 + 1. assign V310968 = V732760 - 1. assign V352468 = V674829 + 1. assign V387334 = V880133. assign V761023 = V218289 - 1. assign V746377 = V218289 - 1. assign V551868 = V670962 - 1. assign V617614 = V666651 + 1. assign V774569 = V617614 - 1. assign V012889 = V939886 + 1. assign V851210 = V178307. assign V442377 = V315914. assign V157230 = V367853 - 1. assign V422713 = V457939 + 1. assign V754633 = V776286. assign V636787 = V068960. assign V357636 = V178307 + 1. assign V845733 = V617614 + 1. assign V521389 = V866653 + 1. assign V834895 = V011437. assign V404791 = V791897 + 1. assign V061618 = V352962 + 1. assign V329618 = V309298. assign V953134 = V081206 + 1. assign V157375 = V283053. assign V769871 = V776286. assign V987229 = V774569 - 1. assign V409607 = V277843 + 1. assign V528237 = V634202 + 1. assign V638785 = V939886. assign V437861 = V220077 - 1. assign V139929 = V223274 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV452357 = 6;\n\nFrom these direct assignment(s), we have: \nV479042 = V452357 - 1 = 6 - 1 =5;\nNo other variables can be derived from V479042;\nNo other variables can be derived from V452357;\n\nNow we have done all the calculations. Derived variables are:\nV452357 = 6;\nV479042 = 5;\n\nNow we have finished this problem. ANSWER:\nV479042\n", "role": "assistant" } ]

[ "V164331" ]

[ { "content": "<context>\nassign V872441 = 3. assign V318021 = V515247 - 1. assign V335458 = V818261 + 1. assign V307578 = V873972 + 1. assign V776268 = V165916 - 1. assign V241501 = V657614. assign V837438 = V908433 + 1. assign V190020 = V184328 + 1. assign V727340 = V205663 + 1. assign V728830 = V213530 - 1. assign V208273 = V539262 - 1. assign V725912 = V908433. assign V579498 = V592015 - 1. assign V532861 = V868245 - 1. assign V406933 = V611966 + 1. assign V884486 = V051084 - 1. assign V994846 = V464819 - 1. assign V500566 = V427825 - 1. assign V870725 = V878788. assign V592015 = V657614. assign V901337 = V674232 - 1. assign V475538 = V126330. assign V975533 = V420354. assign V046856 = V363789 - 1. assign V602197 = V727340 + 1. assign V486014 = V400390 - 1. assign V908433 = V464819 + 1. assign V028068 = V126330 - 1. assign V042144 = V905503. assign V909748 = V307578 + 1. assign V004670 = V947776 + 1. assign V047322 = V760222. assign V459197 = V018255. assign V674232 = V883801 + 1. assign V450315 = V832682. assign V460225 = V356247 + 1. assign V905503 = V205663 - 1. assign V853170 = V818261. assign V009912 = V984907 - 1. assign V806586 = V335458 + 1. assign V091252 = V873668. assign V742829 = V873668 + 1. assign V972968 = V905503 - 1. assign V611966 = V868245 - 1. assign V777648 = V582490 - 1. assign V419657 = V009050. assign V384369 = V727340 - 1. assign V408224 = V420354 - 1. assign V184328 = V074293 + 1. assign V832473 = V400390 - 1. assign V416779 = V205663 + 1. assign V925587 = V337962 + 1. assign V594066 = V722064 + 1. assign V878788 = V515247 - 1. assign V556478 = V515247 - 1. assign V557290 = V400390 + 1. assign V760222 = V972968 - 1. assign V213530 = V416779. assign V051084 = V205663 + 1. assign V134002 = V051084 + 1. assign V790793 = V464819 - 1. assign V809008 = V054203 + 1. assign V156475 = V783039 - 1. assign V975944 = V474102. assign V750915 = V776268. assign V337962 = V832473 - 1. assign V831401 = V994846 - 1. assign V043691 = V939579. assign V570494 = V400390 - 1. assign V868245 = V521708 - 1. assign V843487 = V176394 + 1. assign V465523 = V657614. assign V164187 = V213530 - 1. assign V883801 = V416779. assign V783039 = V795004. assign V656078 = V043691 - 1. assign V606932 = V456736. assign V009050 = V146325 + 1. assign V722064 = V730134. assign V019939 = V165916. assign V883885 = V947776 - 1. assign V984907 = V416779 - 1. assign V120237 = V406933. assign V629823 = V798362 - 1. assign V146325 = V165916 - 1. assign V400390 = V646938 - 1. assign V691701 = V047322 + 1. assign V629329 = V459197 - 1. assign V503191 = V325058 + 1. assign V008904 = V213530 - 1. assign V529646 = V556478 - 1. assign V363789 = V557290 - 1. assign V623015 = V307578 - 1. assign V850247 = V400390. assign V705778 = V791073. assign V515247 = V043691 + 1. assign V646938 = V416779 - 1. assign V124054 = V832473 + 1. assign V674008 = V557290. assign V026574 = V582490 + 1. assign V950729 = V594066 - 1. assign V848667 = V742829. assign V485922 = V205663. assign V270470 = V853170. assign V604736 = V205663 - 1. assign V248145 = V220698. assign V176394 = V019939 + 1. assign V719280 = V146325. assign V532469 = V265016. assign V038913 = V832473. assign V018255 = V646938 + 1. assign V873972 = V318021 + 1. assign V165916 = V205663 - 1. assign V451338 = V972968 - 1. assign V099058 = V556478 - 1. assign V795004 = V126330 - 1. assign V420354 = V054203. assign V479084 = V356247. assign V596213 = V905503 + 1. assign V939579 = V908433. assign V187884 = V165916 - 1. assign V325058 = V873668 + 1. assign V356247 = V832473. assign V484540 = V905503 + 1. assign V575664 = V539262 + 1. assign V657614 = V009912. assign V791073 = V776268 - 1. assign V856646 = V575664. assign V737102 = V486014 - 1. assign V385446 = V408224 - 1. assign V539262 = V503191 + 1. assign V897944 = V795004 + 1. assign V798362 = V728830 + 1. assign V947776 = V939579 - 1. assign V084635 = V503191. assign V542178 = V406933. assign V464819 = V984907 - 1. assign V054203 = V464819. assign V265016 = V416779 - 1. assign V582490 = V727340. assign V956452 = V760222 - 1. assign V422289 = V019939. assign V873668 = V416779 - 1. assign V368729 = V832473 + 1. assign V849128 = V873668 + 1. assign V017819 = V084635 + 1. assign V139290 = V028068 - 1. assign V410591 = V503191 - 1. assign V126330 = V657614. assign V427825 = V051084. assign V164331 = V872441 + 1. assign V832587 = V777648 - 1. assign V474102 = V643280 + 1. assign V643280 = V870725 + 1. assign V449098 = V908433. assign V521708 = V818261. assign V311956 = V737102 + 1. assign V601282 = V539262 + 1. assign V832682 = V074293 + 1. assign V730134 = V849128 - 1. assign V365103 = V464819. assign V456736 = V325058 + 1. assign V987304 = V994846. assign V220698 = V646938 - 1. assign V017327 = V795004 - 1. assign V364023 = V592015. assign V074293 = V416779 - 1. assign V057396 = V177556. assign V621127 = V730134. assign V818261 = V837438 + 1. assign V451843 = V054203 + 1. assign V177556 = V406933 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V872441 = 3. assign V318021 = V515247 - 1. assign V335458 = V818261 + 1. assign V307578 = V873972 + 1. assign V776268 = V165916 - 1. assign V241501 = V657614. assign V837438 = V908433 + 1. assign V190020 = V184328 + 1. assign V727340 = V205663 + 1. assign V728830 = V213530 - 1. assign V208273 = V539262 - 1. assign V725912 = V908433. assign V579498 = V592015 - 1. assign V532861 = V868245 - 1. assign V406933 = V611966 + 1. assign V884486 = V051084 - 1. assign V994846 = V464819 - 1. assign V500566 = V427825 - 1. assign V870725 = V878788. assign V592015 = V657614. assign V901337 = V674232 - 1. assign V475538 = V126330. assign V975533 = V420354. assign V046856 = V363789 - 1. assign V602197 = V727340 + 1. assign V486014 = V400390 - 1. assign V908433 = V464819 + 1. assign V028068 = V126330 - 1. assign V042144 = V905503. assign V909748 = V307578 + 1. assign V004670 = V947776 + 1. assign V047322 = V760222. assign V459197 = V018255. assign V674232 = V883801 + 1. assign V450315 = V832682. assign V460225 = V356247 + 1. assign V905503 = V205663 - 1. assign V853170 = V818261. assign V009912 = V984907 - 1. assign V806586 = V335458 + 1. assign V091252 = V873668. assign V742829 = V873668 + 1. assign V972968 = V905503 - 1. assign V611966 = V868245 - 1. assign V777648 = V582490 - 1. assign V419657 = V009050. assign V384369 = V727340 - 1. assign V408224 = V420354 - 1. assign V184328 = V074293 + 1. assign V832473 = V400390 - 1. assign V416779 = V205663 + 1. assign V925587 = V337962 + 1. assign V594066 = V722064 + 1. assign V878788 = V515247 - 1. assign V556478 = V515247 - 1. assign V557290 = V400390 + 1. assign V760222 = V972968 - 1. assign V213530 = V416779. assign V051084 = V205663 + 1. assign V134002 = V051084 + 1. assign V790793 = V464819 - 1. assign V809008 = V054203 + 1. assign V156475 = V783039 - 1. assign V975944 = V474102. assign V750915 = V776268. assign V337962 = V832473 - 1. assign V831401 = V994846 - 1. assign V043691 = V939579. assign V570494 = V400390 - 1. assign V868245 = V521708 - 1. assign V843487 = V176394 + 1. assign V465523 = V657614. assign V164187 = V213530 - 1. assign V883801 = V416779. assign V783039 = V795004. assign V656078 = V043691 - 1. assign V606932 = V456736. assign V009050 = V146325 + 1. assign V722064 = V730134. assign V019939 = V165916. assign V883885 = V947776 - 1. assign V984907 = V416779 - 1. assign V120237 = V406933. assign V629823 = V798362 - 1. assign V146325 = V165916 - 1. assign V400390 = V646938 - 1. assign V691701 = V047322 + 1. assign V629329 = V459197 - 1. assign V503191 = V325058 + 1. assign V008904 = V213530 - 1. assign V529646 = V556478 - 1. assign V363789 = V557290 - 1. assign V623015 = V307578 - 1. assign V850247 = V400390. assign V705778 = V791073. assign V515247 = V043691 + 1. assign V646938 = V416779 - 1. assign V124054 = V832473 + 1. assign V674008 = V557290. assign V026574 = V582490 + 1. assign V950729 = V594066 - 1. assign V848667 = V742829. assign V485922 = V205663. assign V270470 = V853170. assign V604736 = V205663 - 1. assign V248145 = V220698. assign V176394 = V019939 + 1. assign V719280 = V146325. assign V532469 = V265016. assign V038913 = V832473. assign V018255 = V646938 + 1. assign V873972 = V318021 + 1. assign V165916 = V205663 - 1. assign V451338 = V972968 - 1. assign V099058 = V556478 - 1. assign V795004 = V126330 - 1. assign V420354 = V054203. assign V479084 = V356247. assign V596213 = V905503 + 1. assign V939579 = V908433. assign V187884 = V165916 - 1. assign V325058 = V873668 + 1. assign V356247 = V832473. assign V484540 = V905503 + 1. assign V575664 = V539262 + 1. assign V657614 = V009912. assign V791073 = V776268 - 1. assign V856646 = V575664. assign V737102 = V486014 - 1. assign V385446 = V408224 - 1. assign V539262 = V503191 + 1. assign V897944 = V795004 + 1. assign V798362 = V728830 + 1. assign V947776 = V939579 - 1. assign V084635 = V503191. assign V542178 = V406933. assign V464819 = V984907 - 1. assign V054203 = V464819. assign V265016 = V416779 - 1. assign V582490 = V727340. assign V956452 = V760222 - 1. assign V422289 = V019939. assign V873668 = V416779 - 1. assign V368729 = V832473 + 1. assign V849128 = V873668 + 1. assign V017819 = V084635 + 1. assign V139290 = V028068 - 1. assign V410591 = V503191 - 1. assign V126330 = V657614. assign V427825 = V051084. assign V164331 = V872441 + 1. assign V832587 = V777648 - 1. assign V474102 = V643280 + 1. assign V643280 = V870725 + 1. assign V449098 = V908433. assign V521708 = V818261. assign V311956 = V737102 + 1. assign V601282 = V539262 + 1. assign V832682 = V074293 + 1. assign V730134 = V849128 - 1. assign V365103 = V464819. assign V456736 = V325058 + 1. assign V987304 = V994846. assign V220698 = V646938 - 1. assign V017327 = V795004 - 1. assign V364023 = V592015. assign V074293 = V416779 - 1. assign V057396 = V177556. assign V621127 = V730134. assign V818261 = V837438 + 1. assign V451843 = V054203 + 1. assign V177556 = V406933 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV872441 = 3;\n\nFrom these direct assignment(s), we have: \nV164331 = V872441 + 1 = 3 + 1 =4;\nNo other variables can be derived from V164331;\nNo other variables can be derived from V872441;\n\nNow we have done all the calculations. Derived variables are:\nV872441 = 3;\nV164331 = 4;\n\nNow we have finished this problem. ANSWER:\nV164331\n", "role": "assistant" } ]

[ "V261594" ]

[ { "content": "<context>\nassign V516297 = V899776. assign V083618 = V265926 + 1. assign V140034 = V325282 - 1. assign V378016 = V652944. assign V513009 = V709108. assign V299492 = V864198 + 1. assign V825670 = V600139. assign V353168 = V612868. assign V388461 = V600139. assign V102105 = V140034 - 1. assign V177853 = V140034. assign V431965 = V542773 + 1. assign V795342 = V931188 - 1. assign V171800 = V622989. assign V622989 = V517601 + 1. assign V009835 = V053523 - 1. assign V421664 = V408001. assign V258670 = V721293 - 1. assign V959630 = V837282 + 1. assign V398599 = V617519. assign V870055 = V792189 + 1. assign V207346 = V958542 + 1. assign V856748 = V612868 + 1. assign V806727 = V929869 + 1. assign V041057 = V177853 - 1. assign V504359 = V958542. assign V540714 = V265926 - 1. assign V891894 = V969500 - 1. assign V473931 = V243922 + 1. assign V904793 = V053523 + 1. assign V074334 = V969500. assign V103164 = V046806 - 1. assign V836559 = V504359. assign V792189 = V856748 + 1. assign V572489 = V009835. assign V884050 = V196266 - 1. assign V045799 = V929869 - 1. assign V621177 = V254375 + 1. assign V972227 = V878189 - 1. assign V878189 = V431965 - 1. assign V721293 = V633556. assign V053523 = V612868 - 1. assign V223606 = V408001 - 1. assign V892452 = V039737 + 1. assign V842412 = V330545 + 1. assign V096995 = V904793. assign V456504 = V068716 - 1. assign V644259 = V622989 - 1. assign V307191 = V721293 + 1. assign V600139 = V807466 - 1. assign V618770 = V627756 - 1. assign V542773 = V140034 + 1. assign V265926 = V140034 + 1. assign V472710 = V517601 + 1. assign V081416 = V856748 + 1. assign V150481 = V915440 - 1. assign V517601 = V461817 + 1. assign V046806 = V657051 + 1. assign V270412 = V203717 + 1. assign V122505 = V630557 - 1. assign V630557 = V381373. assign V242521 = V573527 - 1. assign V216806 = V330545 - 1. assign V421795 = V074334. assign V372584 = V449376. assign V748210 = V506866 - 1. assign V330545 = V139221 - 1. assign V807063 = V449376 - 1. assign V931188 = V305584 + 1. assign V180323 = V542773. assign V657051 = V795764 - 1. assign V500161 = V773921 + 1. assign V514905 = V878189 + 1. assign V776923 = V117809 - 1. assign V474353 = V709108. assign V929869 = V904793 + 1. assign V196266 = V265926 - 1. assign V284933 = V517601 + 1. assign V305584 = V870055 + 1. assign V992881 = V041057 + 1. assign V080064 = V698309 + 1. assign V698309 = V633556 - 1. assign V381373 = V067689 + 1. assign V634754 = V203717. assign V117623 = V804734 + 1. assign V359397 = V878189. assign V408001 = V102105 + 1. assign V301749 = V519275 - 1. assign V363873 = V102105. assign V203717 = V864198. assign V379099 = V903086 - 1. assign V410674 = V513009. assign V281785 = V622989 - 1. assign V139221 = V617519. assign V108242 = V432602. assign V680077 = V103164 + 1. assign V865504 = V657051. assign V957463 = V878189. assign V249663 = V363873 + 1. assign V506866 = V870055 - 1. assign V100921 = V542773. assign V166149 = V878189 + 1. assign V430992 = V792189 - 1. assign V245870 = V517601 - 1. assign V029830 = V899776. assign V773921 = V265926. assign V067689 = V612868 - 1. assign V864198 = V228049 + 1. assign V617519 = V431965 - 1. assign V432602 = V359397 + 1. assign V633556 = V523453. assign V461817 = V612868 - 1. assign V523453 = V542773 - 1. assign V180749 = V461817 - 1. assign V875843 = V039737 - 1. assign V773375 = V150481. assign V555290 = V359397. assign V803254 = V959630. assign V254375 = V892452 + 1. assign V820953 = V117809. assign V184355 = V117809 + 1. assign V795764 = V408001 - 1. assign V974516 = V305584. assign V112217 = V083618 + 1. assign V915440 = V514905 + 1. assign V647018 = V325282 + 1. assign V709108 = V972227 - 1. assign V238190 = V041057. assign V261594 = V644390 + 1. assign V573527 = V307191. assign V675425 = V067689. assign V807466 = V053523. assign V880344 = V621177 - 1. assign V271468 = V647018 + 1. assign V519275 = V103164 + 1. assign V203521 = V837282. assign V804734 = V102105. assign V117809 = V249663 - 1. assign V652944 = V180749 - 1. assign V560969 = V102105 - 1. assign V102990 = V514905 + 1. assign V899776 = V359397. assign V161579 = V864198. assign V449376 = V657051. assign V803442 = V100921 + 1. assign V223227 = V721293 + 1. assign V720617 = V959630. assign V934066 = V612868 - 1. assign V098840 = V773921 + 1. assign V888880 = V249663. assign V068716 = V958542. assign V964487 = V325282 - 1. assign V969500 = V359397. assign V837282 = V875843 - 1. assign V623754 = V177853 + 1. assign V273561 = V842412. assign V488229 = V102990. assign V610647 = V523453. assign V243922 = V067689 + 1. assign V903086 = V039737 - 1. assign V925387 = V542773 - 1. assign V455609 = V899776 + 1. assign V821730 = V196266 - 1. assign V627756 = V325282 - 1. assign V644390 = 9. assign V325282 = V039737 - 1. assign V883177 = V806727. assign V228049 = V196266 + 1. assign V069131 = V514905 - 1. assign V612868 = V039737 - 1. assign V958542 = V449376. assign V187979 = V804734.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V516297 = V899776. assign V083618 = V265926 + 1. assign V140034 = V325282 - 1. assign V378016 = V652944. assign V513009 = V709108. assign V299492 = V864198 + 1. assign V825670 = V600139. assign V353168 = V612868. assign V388461 = V600139. assign V102105 = V140034 - 1. assign V177853 = V140034. assign V431965 = V542773 + 1. assign V795342 = V931188 - 1. assign V171800 = V622989. assign V622989 = V517601 + 1. assign V009835 = V053523 - 1. assign V421664 = V408001. assign V258670 = V721293 - 1. assign V959630 = V837282 + 1. assign V398599 = V617519. assign V870055 = V792189 + 1. assign V207346 = V958542 + 1. assign V856748 = V612868 + 1. assign V806727 = V929869 + 1. assign V041057 = V177853 - 1. assign V504359 = V958542. assign V540714 = V265926 - 1. assign V891894 = V969500 - 1. assign V473931 = V243922 + 1. assign V904793 = V053523 + 1. assign V074334 = V969500. assign V103164 = V046806 - 1. assign V836559 = V504359. assign V792189 = V856748 + 1. assign V572489 = V009835. assign V884050 = V196266 - 1. assign V045799 = V929869 - 1. assign V621177 = V254375 + 1. assign V972227 = V878189 - 1. assign V878189 = V431965 - 1. assign V721293 = V633556. assign V053523 = V612868 - 1. assign V223606 = V408001 - 1. assign V892452 = V039737 + 1. assign V842412 = V330545 + 1. assign V096995 = V904793. assign V456504 = V068716 - 1. assign V644259 = V622989 - 1. assign V307191 = V721293 + 1. assign V600139 = V807466 - 1. assign V618770 = V627756 - 1. assign V542773 = V140034 + 1. assign V265926 = V140034 + 1. assign V472710 = V517601 + 1. assign V081416 = V856748 + 1. assign V150481 = V915440 - 1. assign V517601 = V461817 + 1. assign V046806 = V657051 + 1. assign V270412 = V203717 + 1. assign V122505 = V630557 - 1. assign V630557 = V381373. assign V242521 = V573527 - 1. assign V216806 = V330545 - 1. assign V421795 = V074334. assign V372584 = V449376. assign V748210 = V506866 - 1. assign V330545 = V139221 - 1. assign V807063 = V449376 - 1. assign V931188 = V305584 + 1. assign V180323 = V542773. assign V657051 = V795764 - 1. assign V500161 = V773921 + 1. assign V514905 = V878189 + 1. assign V776923 = V117809 - 1. assign V474353 = V709108. assign V929869 = V904793 + 1. assign V196266 = V265926 - 1. assign V284933 = V517601 + 1. assign V305584 = V870055 + 1. assign V992881 = V041057 + 1. assign V080064 = V698309 + 1. assign V698309 = V633556 - 1. assign V381373 = V067689 + 1. assign V634754 = V203717. assign V117623 = V804734 + 1. assign V359397 = V878189. assign V408001 = V102105 + 1. assign V301749 = V519275 - 1. assign V363873 = V102105. assign V203717 = V864198. assign V379099 = V903086 - 1. assign V410674 = V513009. assign V281785 = V622989 - 1. assign V139221 = V617519. assign V108242 = V432602. assign V680077 = V103164 + 1. assign V865504 = V657051. assign V957463 = V878189. assign V249663 = V363873 + 1. assign V506866 = V870055 - 1. assign V100921 = V542773. assign V166149 = V878189 + 1. assign V430992 = V792189 - 1. assign V245870 = V517601 - 1. assign V029830 = V899776. assign V773921 = V265926. assign V067689 = V612868 - 1. assign V864198 = V228049 + 1. assign V617519 = V431965 - 1. assign V432602 = V359397 + 1. assign V633556 = V523453. assign V461817 = V612868 - 1. assign V523453 = V542773 - 1. assign V180749 = V461817 - 1. assign V875843 = V039737 - 1. assign V773375 = V150481. assign V555290 = V359397. assign V803254 = V959630. assign V254375 = V892452 + 1. assign V820953 = V117809. assign V184355 = V117809 + 1. assign V795764 = V408001 - 1. assign V974516 = V305584. assign V112217 = V083618 + 1. assign V915440 = V514905 + 1. assign V647018 = V325282 + 1. assign V709108 = V972227 - 1. assign V238190 = V041057. assign V261594 = V644390 + 1. assign V573527 = V307191. assign V675425 = V067689. assign V807466 = V053523. assign V880344 = V621177 - 1. assign V271468 = V647018 + 1. assign V519275 = V103164 + 1. assign V203521 = V837282. assign V804734 = V102105. assign V117809 = V249663 - 1. assign V652944 = V180749 - 1. assign V560969 = V102105 - 1. assign V102990 = V514905 + 1. assign V899776 = V359397. assign V161579 = V864198. assign V449376 = V657051. assign V803442 = V100921 + 1. assign V223227 = V721293 + 1. assign V720617 = V959630. assign V934066 = V612868 - 1. assign V098840 = V773921 + 1. assign V888880 = V249663. assign V068716 = V958542. assign V964487 = V325282 - 1. assign V969500 = V359397. assign V837282 = V875843 - 1. assign V623754 = V177853 + 1. assign V273561 = V842412. assign V488229 = V102990. assign V610647 = V523453. assign V243922 = V067689 + 1. assign V903086 = V039737 - 1. assign V925387 = V542773 - 1. assign V455609 = V899776 + 1. assign V821730 = V196266 - 1. assign V627756 = V325282 - 1. assign V644390 = 9. assign V325282 = V039737 - 1. assign V883177 = V806727. assign V228049 = V196266 + 1. assign V069131 = V514905 - 1. assign V612868 = V039737 - 1. assign V958542 = V449376. assign V187979 = V804734.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV644390 = 9;\n\nFrom these direct assignment(s), we have: \nV261594 = V644390 + 1 = 9 + 1 =10;\nNo other variables can be derived from V261594;\nNo other variables can be derived from V644390;\n\nNow we have done all the calculations. Derived variables are:\nV644390 = 9;\nV261594 = 10;\n\nNow we have finished this problem. ANSWER:\nV261594\n", "role": "assistant" } ]

[ "V761194" ]

[ { "content": "<context>\nassign V303889 = V754389 + 1. assign V020238 = V341302. assign V812536 = V124261 - 1. assign V449486 = V976868. assign V566447 = V670561. assign V434217 = V976868. assign V048257 = V836884 + 1. assign V605157 = V315884 + 1. assign V475541 = V754620. assign V772111 = V969712 + 1. assign V164692 = V777224 + 1. assign V905363 = V576532 + 1. assign V894112 = V589070 - 1. assign V021366 = V093698 + 1. assign V723386 = V664611. assign V124261 = V576532 + 1. assign V755388 = V282095 - 1. assign V081836 = V723386 - 1. assign V268002 = V672509. assign V309791 = V854033 + 1. assign V857102 = V840149 - 1. assign V004975 = V692227 - 1. assign V929922 = V572885 - 1. assign V008363 = V236820. assign V662194 = V282095 - 1. assign V294576 = V755388 + 1. assign V514503 = V921493. assign V347012 = V382019 + 1. assign V048826 = V784951 - 1. assign V275045 = V393460 - 1. assign V356603 = V442588 - 1. assign V914204 = V921493 - 1. assign V080594 = V719904 + 1. assign V491466 = V367146. assign V754620 = V407360. assign V431546 = V589070 + 1. assign V535539 = V772615 + 1. assign V784951 = V184459. assign V475286 = V894112 + 1. assign V319086 = V061901. assign V708372 = V137400. assign V903530 = V535539 + 1. assign V493984 = V806013 + 1. assign V407360 = V640833. assign V982020 = V020238. assign V593270 = V442588 + 1. assign V557532 = V662194 + 1. assign V181570 = V976868. assign V669460 = V755388 - 1. assign V504374 = 8. assign V234961 = V921493 + 1. assign V382019 = V640833 + 1. assign V341302 = V407360. assign V015681 = V356603. assign V282095 = V184459 - 1. assign V464054 = V367146 - 1. assign V090618 = V020238. assign V367146 = V640833. assign V145927 = V692227 + 1. assign V653330 = V914204 + 1. assign V236820 = V719904. assign V445498 = V841870. assign V987863 = V475541. assign V761194 = V504374 + 1. assign V518993 = V982020. assign V964628 = V365530 - 1. assign V754389 = V854033 + 1. assign V262295 = V031672 + 1. assign V594422 = V772615 - 1. assign V062237 = V206635. assign V137400 = V935734. assign V466339 = V422454. assign V202699 = V319086. assign V670561 = V874697. assign V439195 = V184459. assign V696209 = V020238 + 1. assign V921493 = V477602 + 1. assign V053332 = V976868 + 1. assign V110130 = V164692 + 1. assign V174892 = V585265. assign V692227 = V506714. assign V430514 = V090618 + 1. assign V908872 = V319086 - 1. assign V401098 = V964628 - 1. assign V589151 = V442588. assign V530277 = V888964 + 1. assign V748292 = V021366 - 1. assign V836884 = V754389 - 1. assign V840149 = V184459 - 1. assign V422454 = V836884 - 1. assign V693322 = V275045 - 1. assign V139053 = V708372. assign V811528 = V407360 + 1. assign V415307 = V184459 - 1. assign V639013 = V605157 + 1. assign V807778 = V477602. assign V874697 = V784951 + 1. assign V169345 = V294576. assign V913243 = V377743. assign V574324 = V081836. assign V360630 = V807778 + 1. assign V642828 = V080594. assign V859513 = V282095. assign V506714 = V859513. assign V969712 = V664611. assign V385967 = V755388 - 1. assign V915722 = V356603. assign V042267 = V585265 + 1. assign V307535 = V522820. assign V958907 = V754389 - 1. assign V777224 = V506714 + 1. assign V376496 = V422454 - 1. assign V572885 = V908872 + 1. assign V659034 = V080594 + 1. assign V442588 = V439195 - 1. assign V061901 = V464054 + 1. assign V058224 = V755388. assign V093698 = V522820. assign V772615 = V061901 - 1. assign V412562 = V979659. assign V050596 = V662194. assign V538067 = V315884 - 1. assign V377743 = V031672 - 1. assign V567667 = V964782. assign V976868 = V841870 + 1. assign V589070 = V137400. assign V645680 = V004975 + 1. assign V854033 = V477602. assign V766958 = V341302 - 1. assign V576532 = V048257 + 1. assign V806013 = V836884. assign V664611 = V921493 + 1. assign V616911 = V754389. assign V298277 = V574324 - 1. assign V443766 = V053332. assign V141290 = V867043 + 1. assign V718595 = V093698 + 1. assign V585265 = V859513 - 1. assign V979659 = V085111. assign V477602 = V184459 + 1. assign V418793 = V640833 + 1. assign V393460 = V857102. assign V888964 = V784951 - 1. assign V206635 = V053332 + 1. assign V672509 = V755388 - 1. assign V365530 = V935734 - 1. assign V315884 = V439195 + 1. assign V324725 = V854033. assign V867043 = V407360 - 1. assign V732970 = V268002. assign V522820 = V672509 + 1. assign V935734 = V294576 - 1. assign V964782 = V669460 + 1. assign V162230 = V859513 - 1. assign V113310 = V294576 + 1. assign V640833 = V477602 - 1. assign V841870 = V439195. assign V424953 = V393460. assign V726304 = V854033 - 1. assign V164464 = V639013 + 1. assign V084889 = V477602 + 1. assign V085111 = V585265. assign V255054 = V772111 - 1. assign V238735 = V514503. assign V719904 = V477602 + 1. assign V052518 = V662194. assign V482587 = V840149 - 1. assign V431600 = V946840 - 1. assign V946840 = V124261 + 1. assign V152456 = V309791 - 1. assign V125615 = V982020. assign V031672 = V356603 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V303889 = V754389 + 1. assign V020238 = V341302. assign V812536 = V124261 - 1. assign V449486 = V976868. assign V566447 = V670561. assign V434217 = V976868. assign V048257 = V836884 + 1. assign V605157 = V315884 + 1. assign V475541 = V754620. assign V772111 = V969712 + 1. assign V164692 = V777224 + 1. assign V905363 = V576532 + 1. assign V894112 = V589070 - 1. assign V021366 = V093698 + 1. assign V723386 = V664611. assign V124261 = V576532 + 1. assign V755388 = V282095 - 1. assign V081836 = V723386 - 1. assign V268002 = V672509. assign V309791 = V854033 + 1. assign V857102 = V840149 - 1. assign V004975 = V692227 - 1. assign V929922 = V572885 - 1. assign V008363 = V236820. assign V662194 = V282095 - 1. assign V294576 = V755388 + 1. assign V514503 = V921493. assign V347012 = V382019 + 1. assign V048826 = V784951 - 1. assign V275045 = V393460 - 1. assign V356603 = V442588 - 1. assign V914204 = V921493 - 1. assign V080594 = V719904 + 1. assign V491466 = V367146. assign V754620 = V407360. assign V431546 = V589070 + 1. assign V535539 = V772615 + 1. assign V784951 = V184459. assign V475286 = V894112 + 1. assign V319086 = V061901. assign V708372 = V137400. assign V903530 = V535539 + 1. assign V493984 = V806013 + 1. assign V407360 = V640833. assign V982020 = V020238. assign V593270 = V442588 + 1. assign V557532 = V662194 + 1. assign V181570 = V976868. assign V669460 = V755388 - 1. assign V504374 = 8. assign V234961 = V921493 + 1. assign V382019 = V640833 + 1. assign V341302 = V407360. assign V015681 = V356603. assign V282095 = V184459 - 1. assign V464054 = V367146 - 1. assign V090618 = V020238. assign V367146 = V640833. assign V145927 = V692227 + 1. assign V653330 = V914204 + 1. assign V236820 = V719904. assign V445498 = V841870. assign V987863 = V475541. assign V761194 = V504374 + 1. assign V518993 = V982020. assign V964628 = V365530 - 1. assign V754389 = V854033 + 1. assign V262295 = V031672 + 1. assign V594422 = V772615 - 1. assign V062237 = V206635. assign V137400 = V935734. assign V466339 = V422454. assign V202699 = V319086. assign V670561 = V874697. assign V439195 = V184459. assign V696209 = V020238 + 1. assign V921493 = V477602 + 1. assign V053332 = V976868 + 1. assign V110130 = V164692 + 1. assign V174892 = V585265. assign V692227 = V506714. assign V430514 = V090618 + 1. assign V908872 = V319086 - 1. assign V401098 = V964628 - 1. assign V589151 = V442588. assign V530277 = V888964 + 1. assign V748292 = V021366 - 1. assign V836884 = V754389 - 1. assign V840149 = V184459 - 1. assign V422454 = V836884 - 1. assign V693322 = V275045 - 1. assign V139053 = V708372. assign V811528 = V407360 + 1. assign V415307 = V184459 - 1. assign V639013 = V605157 + 1. assign V807778 = V477602. assign V874697 = V784951 + 1. assign V169345 = V294576. assign V913243 = V377743. assign V574324 = V081836. assign V360630 = V807778 + 1. assign V642828 = V080594. assign V859513 = V282095. assign V506714 = V859513. assign V969712 = V664611. assign V385967 = V755388 - 1. assign V915722 = V356603. assign V042267 = V585265 + 1. assign V307535 = V522820. assign V958907 = V754389 - 1. assign V777224 = V506714 + 1. assign V376496 = V422454 - 1. assign V572885 = V908872 + 1. assign V659034 = V080594 + 1. assign V442588 = V439195 - 1. assign V061901 = V464054 + 1. assign V058224 = V755388. assign V093698 = V522820. assign V772615 = V061901 - 1. assign V412562 = V979659. assign V050596 = V662194. assign V538067 = V315884 - 1. assign V377743 = V031672 - 1. assign V567667 = V964782. assign V976868 = V841870 + 1. assign V589070 = V137400. assign V645680 = V004975 + 1. assign V854033 = V477602. assign V766958 = V341302 - 1. assign V576532 = V048257 + 1. assign V806013 = V836884. assign V664611 = V921493 + 1. assign V616911 = V754389. assign V298277 = V574324 - 1. assign V443766 = V053332. assign V141290 = V867043 + 1. assign V718595 = V093698 + 1. assign V585265 = V859513 - 1. assign V979659 = V085111. assign V477602 = V184459 + 1. assign V418793 = V640833 + 1. assign V393460 = V857102. assign V888964 = V784951 - 1. assign V206635 = V053332 + 1. assign V672509 = V755388 - 1. assign V365530 = V935734 - 1. assign V315884 = V439195 + 1. assign V324725 = V854033. assign V867043 = V407360 - 1. assign V732970 = V268002. assign V522820 = V672509 + 1. assign V935734 = V294576 - 1. assign V964782 = V669460 + 1. assign V162230 = V859513 - 1. assign V113310 = V294576 + 1. assign V640833 = V477602 - 1. assign V841870 = V439195. assign V424953 = V393460. assign V726304 = V854033 - 1. assign V164464 = V639013 + 1. assign V084889 = V477602 + 1. assign V085111 = V585265. assign V255054 = V772111 - 1. assign V238735 = V514503. assign V719904 = V477602 + 1. assign V052518 = V662194. assign V482587 = V840149 - 1. assign V431600 = V946840 - 1. assign V946840 = V124261 + 1. assign V152456 = V309791 - 1. assign V125615 = V982020. assign V031672 = V356603 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV504374 = 8;\n\nFrom these direct assignment(s), we have: \nV761194 = V504374 + 1 = 8 + 1 =9;\nNo other variables can be derived from V761194;\nNo other variables can be derived from V504374;\n\nNow we have done all the calculations. Derived variables are:\nV504374 = 8;\nV761194 = 9;\n\nNow we have finished this problem. ANSWER:\nV761194\n", "role": "assistant" } ]

[ "V313347", "V262359" ]

[ { "content": "<context>\nassign V716465 = V150822. assign V609022 = V079723 + 1. assign V643678 = V109262 - 1. assign V762220 = V383314 - 1. assign V851784 = V530160 - 1. assign V824053 = V691617 - 1. assign V402130 = V831784 - 1. assign V248310 = V420362 + 1. assign V030354 = V193618 - 1. assign V530160 = V777445 - 1. assign V395019 = V109262. assign V856465 = V033308 + 1. assign V131653 = V109262. assign V995093 = V773142 - 1. assign V855363 = V967012 - 1. assign V839501 = V538633 + 1. assign V324124 = V386222 + 1. assign V663720 = V109262. assign V198844 = V761278. assign V586674 = V052187 + 1. assign V545365 = V588024 - 1. assign V044879 = V663720. assign V803619 = V612774 + 1. assign V818613 = V131653. assign V389285 = V135708 - 1. assign V773142 = V587722 - 1. assign V896278 = V317849. assign V155001 = V131653. assign V447962 = V371060 + 1. assign V665018 = V927523 - 1. assign V735304 = V193618. assign V469031 = V691617 - 1. assign V621648 = V708971 + 1. assign V506694 = V153330 - 1. assign V831022 = V793085. assign V708332 = V777445. assign V271108 = V916364 - 1. assign V851098 = V421333 - 1. assign V916364 = V761497. assign V420362 = V193618 + 1. assign V213051 = V637002. assign V109262 = V193618 - 1. assign V279401 = V420362. assign V184437 = V420362 + 1. assign V818949 = V716036 + 1. assign V052187 = V805303. assign V515805 = V135708. assign V624643 = V805303 - 1. assign V687965 = V761497. assign V391567 = V942997. assign V031741 = V663720 - 1. assign V271162 = V864204 + 1. assign V805303 = V193618 - 1. assign V784059 = V477799 - 1. assign V944663 = V272050 + 1. assign V936153 = V127575 + 1. assign V435350 = V839501 + 1. assign V679860 = V063698 + 1. assign V645453 = V777445 - 1. assign V489735 = V889581 - 1. assign V889581 = V803619 - 1. assign V622765 = V131653. assign V549027 = V420362. assign V272050 = V153330 + 1. assign V691252 = V764054. assign V261362 = V621648 - 1. assign V761278 = V624643. assign V107809 = V916364. assign V578893 = V052187 - 1. assign V637002 = V643678 + 1. assign V240585 = V248310 - 1. assign V066642 = V131653 + 1. assign V709089 = V180718 + 1. assign V692732 = V942997 - 1. assign V538633 = V974446 - 1. assign V200427 = V831022 - 1. assign V201719 = V272050 - 1. assign V238861 = V445851. assign V939676 = V777445. assign V918628 = V805303. assign V468137 = V761278. assign V477799 = V149162 - 1. assign V832745 = V421333 + 1. assign V487291 = V309615. assign V421333 = V391567 + 1. assign V127575 = V643678. assign V580624 = V918628 + 1. assign V856657 = V165180 + 1. assign V691617 = V317849. assign V899449 = V240585. assign V612774 = V420362 + 1. assign V555833 = V484171 - 1. assign V843202 = V063698. assign V317849 = V383314 - 1. assign V294941 = V621648 + 1. assign V396284 = V935554. assign V079723 = V843202 - 1. assign V746025 = V624643. assign V205253 = V716036. assign V764054 = V109262. assign V341404 = V530160 + 1. assign V045516 = V935554 + 1. assign V708971 = V193618 - 1. assign V279975 = V421333. assign V445851 = V545365. assign V180718 = V371060 - 1. assign V716036 = V545365 - 1. assign V046996 = V761278 - 1. assign V777445 = V193618 - 1. assign V351315 = V967012 + 1. assign V607912 = V580624 + 1. assign V063698 = V545365. assign V497192 = V856657 + 1. assign V033308 = V477799. assign V627527 = V588024 - 1. assign V286154 = V851098. assign V318171 = V530160 - 1. assign V761497 = V294941 + 1. assign V793085 = V383314 - 1. assign V942997 = V805303 + 1. assign V803327 = V200427. assign V484171 = V818613 + 1. assign V240728 = V818949 - 1. assign V465277 = V935554. assign V371060 = V935554 + 1. assign V985170 = V317849 + 1. assign V479135 = V165180 + 1. assign V317545 = V643678 + 1. assign V701742 = V612774 - 1. assign V165180 = V624643 - 1. assign V313347 = 0. assign V247984 = V402130 - 1. assign V386222 = V843202. assign V212760 = V506694. assign V150822 = V336791. assign V559487 = V336791 + 1. assign V078505 = V530160 + 1. assign V383314 = V708971 + 1. assign V482749 = V184437. assign V974446 = V735304 + 1. assign V039861 = V419401 - 1. assign V324780 = V637002 + 1. assign V100381 = V679860 + 1. assign V967012 = V716036. assign V153330 = V383314. assign V712634 = V261362 + 1. assign V109359 = V127575 + 1. assign V896829 = V317849 - 1. assign V587722 = V549027 + 1. assign V622118 = V586674 - 1. assign V203468 = V831022 - 1. assign V385275 = V985170 + 1. assign V864204 = V896278 - 1. assign V336791 = V645453 - 1. assign V225798 = V777445. assign V571982 = V193618 + 1. assign V588024 = V193618 + 1. assign V347906 = V465277 + 1. assign V149162 = V764054. assign V935554 = V588024 + 1. assign V419401 = V030354 + 1. assign V516888 = V889581 + 1. assign V200198 = V468137 - 1. assign V262359 = V313347. assign V927523 = V261362 + 1. assign V594092 = V918628 + 1. assign V309615 = V935554 - 1. assign V135708 = V588024 - 1. assign V831784 = V624643. assign V368662 = V851784. assign V127255 = V240585. assign V759757 = V594092 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V716465 = V150822. assign V609022 = V079723 + 1. assign V643678 = V109262 - 1. assign V762220 = V383314 - 1. assign V851784 = V530160 - 1. assign V824053 = V691617 - 1. assign V402130 = V831784 - 1. assign V248310 = V420362 + 1. assign V030354 = V193618 - 1. assign V530160 = V777445 - 1. assign V395019 = V109262. assign V856465 = V033308 + 1. assign V131653 = V109262. assign V995093 = V773142 - 1. assign V855363 = V967012 - 1. assign V839501 = V538633 + 1. assign V324124 = V386222 + 1. assign V663720 = V109262. assign V198844 = V761278. assign V586674 = V052187 + 1. assign V545365 = V588024 - 1. assign V044879 = V663720. assign V803619 = V612774 + 1. assign V818613 = V131653. assign V389285 = V135708 - 1. assign V773142 = V587722 - 1. assign V896278 = V317849. assign V155001 = V131653. assign V447962 = V371060 + 1. assign V665018 = V927523 - 1. assign V735304 = V193618. assign V469031 = V691617 - 1. assign V621648 = V708971 + 1. assign V506694 = V153330 - 1. assign V831022 = V793085. assign V708332 = V777445. assign V271108 = V916364 - 1. assign V851098 = V421333 - 1. assign V916364 = V761497. assign V420362 = V193618 + 1. assign V213051 = V637002. assign V109262 = V193618 - 1. assign V279401 = V420362. assign V184437 = V420362 + 1. assign V818949 = V716036 + 1. assign V052187 = V805303. assign V515805 = V135708. assign V624643 = V805303 - 1. assign V687965 = V761497. assign V391567 = V942997. assign V031741 = V663720 - 1. assign V271162 = V864204 + 1. assign V805303 = V193618 - 1. assign V784059 = V477799 - 1. assign V944663 = V272050 + 1. assign V936153 = V127575 + 1. assign V435350 = V839501 + 1. assign V679860 = V063698 + 1. assign V645453 = V777445 - 1. assign V489735 = V889581 - 1. assign V889581 = V803619 - 1. assign V622765 = V131653. assign V549027 = V420362. assign V272050 = V153330 + 1. assign V691252 = V764054. assign V261362 = V621648 - 1. assign V761278 = V624643. assign V107809 = V916364. assign V578893 = V052187 - 1. assign V637002 = V643678 + 1. assign V240585 = V248310 - 1. assign V066642 = V131653 + 1. assign V709089 = V180718 + 1. assign V692732 = V942997 - 1. assign V538633 = V974446 - 1. assign V200427 = V831022 - 1. assign V201719 = V272050 - 1. assign V238861 = V445851. assign V939676 = V777445. assign V918628 = V805303. assign V468137 = V761278. assign V477799 = V149162 - 1. assign V832745 = V421333 + 1. assign V487291 = V309615. assign V421333 = V391567 + 1. assign V127575 = V643678. assign V580624 = V918628 + 1. assign V856657 = V165180 + 1. assign V691617 = V317849. assign V899449 = V240585. assign V612774 = V420362 + 1. assign V555833 = V484171 - 1. assign V843202 = V063698. assign V317849 = V383314 - 1. assign V294941 = V621648 + 1. assign V396284 = V935554. assign V079723 = V843202 - 1. assign V746025 = V624643. assign V205253 = V716036. assign V764054 = V109262. assign V341404 = V530160 + 1. assign V045516 = V935554 + 1. assign V708971 = V193618 - 1. assign V279975 = V421333. assign V445851 = V545365. assign V180718 = V371060 - 1. assign V716036 = V545365 - 1. assign V046996 = V761278 - 1. assign V777445 = V193618 - 1. assign V351315 = V967012 + 1. assign V607912 = V580624 + 1. assign V063698 = V545365. assign V497192 = V856657 + 1. assign V033308 = V477799. assign V627527 = V588024 - 1. assign V286154 = V851098. assign V318171 = V530160 - 1. assign V761497 = V294941 + 1. assign V793085 = V383314 - 1. assign V942997 = V805303 + 1. assign V803327 = V200427. assign V484171 = V818613 + 1. assign V240728 = V818949 - 1. assign V465277 = V935554. assign V371060 = V935554 + 1. assign V985170 = V317849 + 1. assign V479135 = V165180 + 1. assign V317545 = V643678 + 1. assign V701742 = V612774 - 1. assign V165180 = V624643 - 1. assign V313347 = 0. assign V247984 = V402130 - 1. assign V386222 = V843202. assign V212760 = V506694. assign V150822 = V336791. assign V559487 = V336791 + 1. assign V078505 = V530160 + 1. assign V383314 = V708971 + 1. assign V482749 = V184437. assign V974446 = V735304 + 1. assign V039861 = V419401 - 1. assign V324780 = V637002 + 1. assign V100381 = V679860 + 1. assign V967012 = V716036. assign V153330 = V383314. assign V712634 = V261362 + 1. assign V109359 = V127575 + 1. assign V896829 = V317849 - 1. assign V587722 = V549027 + 1. assign V622118 = V586674 - 1. assign V203468 = V831022 - 1. assign V385275 = V985170 + 1. assign V864204 = V896278 - 1. assign V336791 = V645453 - 1. assign V225798 = V777445. assign V571982 = V193618 + 1. assign V588024 = V193618 + 1. assign V347906 = V465277 + 1. assign V149162 = V764054. assign V935554 = V588024 + 1. assign V419401 = V030354 + 1. assign V516888 = V889581 + 1. assign V200198 = V468137 - 1. assign V262359 = V313347. assign V927523 = V261362 + 1. assign V594092 = V918628 + 1. assign V309615 = V935554 - 1. assign V135708 = V588024 - 1. assign V831784 = V624643. assign V368662 = V851784. assign V127255 = V240585. assign V759757 = V594092 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV313347 = 0;\n\nFrom these direct assignment(s), we have: \nV262359 = V313347 = 0;\nNo other variables can be derived from V262359;\nNo other variables can be derived from V313347;\n\nNow we have done all the calculations. Derived variables are:\nV313347 = 0;\nV262359 = 0;\n\nNow we have finished this problem. ANSWER:\nV313347, V262359\n", "role": "assistant" } ]

[ "V004771" ]

[ { "content": "<context>\nassign V043973 = V407548 + 1. assign V009344 = V057039. assign V517692 = V725276 - 1. assign V410606 = V062927 + 1. assign V238717 = V800771 - 1. assign V685618 = V298850. assign V298850 = V768247. assign V243366 = V053686 + 1. assign V094223 = V951030 - 1. assign V553169 = V200929 - 1. assign V847282 = V802096 + 1. assign V190505 = V001430. assign V160134 = V334991. assign V174288 = V053902. assign V063773 = V538977 + 1. assign V053902 = V415390 + 1. assign V735327 = V451585 + 1. assign V145523 = V794916 + 1. assign V053686 = V520302 + 1. assign V419361 = V043973 + 1. assign V759711 = V822675 + 1. assign V877415 = V520302. assign V472070 = V323583 + 1. assign V423056 = V299495 + 1. assign V575354 = V973386. assign V883312 = V007087 - 1. assign V993345 = V286488. assign V811702 = V410606. assign V976006 = V906705 + 1. assign V140077 = V575354 - 1. assign V188965 = V798343. assign V933025 = V043973. assign V421296 = V419361 + 1. assign V071962 = V813865 - 1. assign V070984 = V106456. assign V750996 = V476560 + 1. assign V947150 = V594477 - 1. assign V330266 = V622285. assign V587998 = V800771 + 1. assign V548266 = V407548 - 1. assign V597123 = V140077. assign V951030 = V947150 + 1. assign V261446 = V594477 + 1. assign V813865 = V426674 - 1. assign V879679 = V137155 - 1. assign V510195 = V407548 + 1. assign V095494 = V454447 + 1. assign V426674 = V063773 - 1. assign V317423 = V594477 + 1. assign V878573 = V951030. assign V844807 = V833569. assign V530643 = V421296. assign V030833 = V415390 - 1. assign V235066 = V570280 - 1. assign V585815 = V708171 - 1. assign V065547 = V968306 + 1. assign V487253 = V517099 + 1. assign V334991 = V062927 - 1. assign V894677 = V476560. assign V004771 = V690026 - 1. assign V906705 = V145523 - 1. assign V921457 = V421508 - 1. assign V617985 = V062927 + 1. assign V186261 = V106456 + 1. assign V131782 = V894677 + 1. assign V209169 = V472070 + 1. assign V858778 = V062927 - 1. assign V668395 = V137155. assign V323583 = V407548. assign V432861 = V973386. assign V317365 = V800771 + 1. assign V278097 = V015489. assign V774109 = V802096. assign V372399 = V062927 - 1. assign V392374 = V858778 - 1. assign V521528 = V415390 - 1. assign V541164 = V487253 + 1. assign V460967 = V419361 + 1. assign V800771 = V594477. assign V867847 = V334991 - 1. assign V499273 = V951030 + 1. assign V421508 = V594477. assign V552548 = V774109. assign V865682 = V427573. assign V106456 = V235066 + 1. assign V367384 = V009344 - 1. assign V822675 = V794916 + 1. assign V180080 = V837108 + 1. assign V655281 = V785521. assign V840456 = V575354 + 1. assign V476560 = V323583. assign V001430 = V510195 - 1. assign V794916 = V469878. assign V026727 = V460967 - 1. assign V798343 = V587998. assign V688352 = V065547 - 1. assign V062927 = V708171 + 1. assign V427573 = V323583. assign V930062 = V594477 + 1. assign V708171 = V973386. assign V893213 = V145523 - 1. assign V424706 = V513013. assign V908925 = V145523 - 1. assign V454447 = V057039 + 1. assign V364182 = V617985 - 1. assign V420900 = V065547 + 1. assign V859877 = V476560. assign V697190 = V001430. assign V299495 = V261446. assign V690026 = 0. assign V509462 = V513013 - 1. assign V281048 = V423056 - 1. assign V768247 = V238717 + 1. assign V538977 = V768247 + 1. assign V294915 = V254385. assign V047242 = V833569. assign V469878 = V235066 - 1. assign V015489 = V053902. assign V615138 = V499273. assign V514143 = V622285. assign V802096 = V299495 - 1. assign V785521 = V298850. assign V833569 = V575354 + 1. assign V201810 = V906705 - 1. assign V362991 = V423056. assign V429959 = V367384 - 1. assign V656697 = V708171 - 1. assign V007087 = V359912 + 1. assign V973386 = V947150 - 1. assign V799772 = V794916 + 1. assign V782982 = V426674. assign V513013 = V323583. assign V841415 = V520302 - 1. assign V488630 = V254385 - 1. assign V725276 = V802096 + 1. assign V566100 = V415390. assign V557771 = V800771 + 1. assign V599444 = V429959 - 1. assign V622285 = V800771. assign V772809 = V968306 + 1. assign V137155 = V053902 - 1. assign V235268 = V235066 - 1. assign V837108 = V868266 - 1. assign V286488 = V768247. assign V428871 = V883312 - 1. assign V407548 = V800771. assign V200929 = V774109. assign V687543 = V785521 - 1. assign V166141 = V053902. assign V271988 = V009344. assign V102716 = V552548 + 1. assign V535811 = V973386 - 1. assign V189103 = V207667. assign V085491 = V070984 + 1. assign V359912 = V750996 - 1. assign V512713 = V844807 - 1. assign V451585 = V548266 - 1. assign V098047 = V513013 - 1. assign V517099 = V207667 - 1. assign V968306 = V299495 + 1. assign V868266 = V973386 - 1. assign V265927 = V768247. assign V254385 = V570280 + 1. assign V570280 = V009344 + 1. assign V415390 = V921457 + 1. assign V207667 = V622285 + 1. assign V929009 = V420900. assign V057039 = V421508 - 1. assign V867602 = V451585. assign V755637 = V057039. assign V520302 = V057039. assign V490446 = V323583 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V043973 = V407548 + 1. assign V009344 = V057039. assign V517692 = V725276 - 1. assign V410606 = V062927 + 1. assign V238717 = V800771 - 1. assign V685618 = V298850. assign V298850 = V768247. assign V243366 = V053686 + 1. assign V094223 = V951030 - 1. assign V553169 = V200929 - 1. assign V847282 = V802096 + 1. assign V190505 = V001430. assign V160134 = V334991. assign V174288 = V053902. assign V063773 = V538977 + 1. assign V053902 = V415390 + 1. assign V735327 = V451585 + 1. assign V145523 = V794916 + 1. assign V053686 = V520302 + 1. assign V419361 = V043973 + 1. assign V759711 = V822675 + 1. assign V877415 = V520302. assign V472070 = V323583 + 1. assign V423056 = V299495 + 1. assign V575354 = V973386. assign V883312 = V007087 - 1. assign V993345 = V286488. assign V811702 = V410606. assign V976006 = V906705 + 1. assign V140077 = V575354 - 1. assign V188965 = V798343. assign V933025 = V043973. assign V421296 = V419361 + 1. assign V071962 = V813865 - 1. assign V070984 = V106456. assign V750996 = V476560 + 1. assign V947150 = V594477 - 1. assign V330266 = V622285. assign V587998 = V800771 + 1. assign V548266 = V407548 - 1. assign V597123 = V140077. assign V951030 = V947150 + 1. assign V261446 = V594477 + 1. assign V813865 = V426674 - 1. assign V879679 = V137155 - 1. assign V510195 = V407548 + 1. assign V095494 = V454447 + 1. assign V426674 = V063773 - 1. assign V317423 = V594477 + 1. assign V878573 = V951030. assign V844807 = V833569. assign V530643 = V421296. assign V030833 = V415390 - 1. assign V235066 = V570280 - 1. assign V585815 = V708171 - 1. assign V065547 = V968306 + 1. assign V487253 = V517099 + 1. assign V334991 = V062927 - 1. assign V894677 = V476560. assign V004771 = V690026 - 1. assign V906705 = V145523 - 1. assign V921457 = V421508 - 1. assign V617985 = V062927 + 1. assign V186261 = V106456 + 1. assign V131782 = V894677 + 1. assign V209169 = V472070 + 1. assign V858778 = V062927 - 1. assign V668395 = V137155. assign V323583 = V407548. assign V432861 = V973386. assign V317365 = V800771 + 1. assign V278097 = V015489. assign V774109 = V802096. assign V372399 = V062927 - 1. assign V392374 = V858778 - 1. assign V521528 = V415390 - 1. assign V541164 = V487253 + 1. assign V460967 = V419361 + 1. assign V800771 = V594477. assign V867847 = V334991 - 1. assign V499273 = V951030 + 1. assign V421508 = V594477. assign V552548 = V774109. assign V865682 = V427573. assign V106456 = V235066 + 1. assign V367384 = V009344 - 1. assign V822675 = V794916 + 1. assign V180080 = V837108 + 1. assign V655281 = V785521. assign V840456 = V575354 + 1. assign V476560 = V323583. assign V001430 = V510195 - 1. assign V794916 = V469878. assign V026727 = V460967 - 1. assign V798343 = V587998. assign V688352 = V065547 - 1. assign V062927 = V708171 + 1. assign V427573 = V323583. assign V930062 = V594477 + 1. assign V708171 = V973386. assign V893213 = V145523 - 1. assign V424706 = V513013. assign V908925 = V145523 - 1. assign V454447 = V057039 + 1. assign V364182 = V617985 - 1. assign V420900 = V065547 + 1. assign V859877 = V476560. assign V697190 = V001430. assign V299495 = V261446. assign V690026 = 0. assign V509462 = V513013 - 1. assign V281048 = V423056 - 1. assign V768247 = V238717 + 1. assign V538977 = V768247 + 1. assign V294915 = V254385. assign V047242 = V833569. assign V469878 = V235066 - 1. assign V015489 = V053902. assign V615138 = V499273. assign V514143 = V622285. assign V802096 = V299495 - 1. assign V785521 = V298850. assign V833569 = V575354 + 1. assign V201810 = V906705 - 1. assign V362991 = V423056. assign V429959 = V367384 - 1. assign V656697 = V708171 - 1. assign V007087 = V359912 + 1. assign V973386 = V947150 - 1. assign V799772 = V794916 + 1. assign V782982 = V426674. assign V513013 = V323583. assign V841415 = V520302 - 1. assign V488630 = V254385 - 1. assign V725276 = V802096 + 1. assign V566100 = V415390. assign V557771 = V800771 + 1. assign V599444 = V429959 - 1. assign V622285 = V800771. assign V772809 = V968306 + 1. assign V137155 = V053902 - 1. assign V235268 = V235066 - 1. assign V837108 = V868266 - 1. assign V286488 = V768247. assign V428871 = V883312 - 1. assign V407548 = V800771. assign V200929 = V774109. assign V687543 = V785521 - 1. assign V166141 = V053902. assign V271988 = V009344. assign V102716 = V552548 + 1. assign V535811 = V973386 - 1. assign V189103 = V207667. assign V085491 = V070984 + 1. assign V359912 = V750996 - 1. assign V512713 = V844807 - 1. assign V451585 = V548266 - 1. assign V098047 = V513013 - 1. assign V517099 = V207667 - 1. assign V968306 = V299495 + 1. assign V868266 = V973386 - 1. assign V265927 = V768247. assign V254385 = V570280 + 1. assign V570280 = V009344 + 1. assign V415390 = V921457 + 1. assign V207667 = V622285 + 1. assign V929009 = V420900. assign V057039 = V421508 - 1. assign V867602 = V451585. assign V755637 = V057039. assign V520302 = V057039. assign V490446 = V323583 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV690026 = 0;\n\nFrom these direct assignment(s), we have: \nV004771 = V690026 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V004771;\nNo other variables can be derived from V690026;\n\nNow we have done all the calculations. Derived variables are:\nV690026 = 0;\nV004771 = -1;\n\nNow we have finished this problem. ANSWER:\nV004771\n", "role": "assistant" } ]

[ "V213067", "V013857" ]

[ { "content": "<context>\nassign V197573 = V088624. assign V928879 = V758653. assign V200151 = V852050. assign V013857 = V213067. assign V862790 = V680202 + 1. assign V540582 = V480052. assign V980046 = V543078 - 1. assign V825851 = V723252 - 1. assign V717612 = V958752 + 1. assign V908502 = V485838 - 1. assign V271221 = V086837. assign V509806 = V960478 + 1. assign V144165 = V784525 + 1. assign V818211 = V185263 + 1. assign V641712 = V714269 - 1. assign V800564 = V176637 - 1. assign V997990 = V784525. assign V249071 = V825851 - 1. assign V263455 = V771525 - 1. assign V771525 = V132240 - 1. assign V677240 = V528153. assign V993327 = V724620 - 1. assign V758653 = V598648. assign V480052 = V373857 + 1. assign V796625 = V279457. assign V146107 = V480052 + 1. assign V147682 = V984424 + 1. assign V837400 = V354408 - 1. assign V440858 = V450459. assign V546818 = V528153. assign V942920 = V086837 - 1. assign V279457 = V189664 - 1. assign V176637 = V825851 + 1. assign V554955 = V375645 + 1. assign V088624 = V825851 - 1. assign V450459 = V942920 + 1. assign V485838 = V175973 + 1. assign V020118 = V132240 - 1. assign V846846 = V598648 + 1. assign V482000 = V206948 - 1. assign V137541 = V732006. assign V317706 = V818211 + 1. assign V023076 = V478543 - 1. assign V389368 = V029192 + 1. assign V029192 = V592092. assign V374732 = V997990. assign V037662 = V088624. assign V611141 = V279457. assign V687937 = V806230. assign V137126 = V189208 + 1. assign V409424 = V960478. assign V637937 = V467204. assign V025942 = V021505 - 1. assign V284318 = V380791. assign V867647 = V416429 + 1. assign V805495 = V515587 + 1. assign V307234 = V206948 + 1. assign V963547 = V373857 - 1. assign V928642 = V317706 + 1. assign V053521 = V307234 - 1. assign V844561 = V764863 + 1. assign V129440 = V485838. assign V354408 = V993327. assign V556790 = V440858. assign V660431 = V189664 - 1. assign V734964 = V175973 + 1. assign V960478 = V334158 - 1. assign V375645 = V806230 + 1. assign V880322 = V492640. assign V549725 = V745490. assign V425926 = V598648. assign V372598 = V687937 - 1. assign V021505 = V185263 + 1. assign V851447 = V029192 + 1. assign V678002 = V109925 + 1. assign V373857 = V375645. assign V714269 = V416429 - 1. assign V279241 = V806230. assign V402096 = V409424 - 1. assign V906858 = V375645 + 1. assign V490520 = V784525 + 1. assign V748446 = V189208 - 1. assign V990595 = V279457 + 1. assign V478543 = V723252 + 1. assign V961749 = V440858. assign V127439 = V549725. assign V455940 = V504105. assign V592092 = V504105 + 1. assign V405202 = V837400. assign V188755 = V805495 - 1. assign V426326 = V193373 + 1. assign V627527 = V908502 + 1. assign V855713 = V778693 - 1. assign V132240 = V898827. assign V967312 = V467204 - 1. assign V671340 = V549725 + 1. assign V443930 = V023076. assign V892503 = V778693. assign V185263 = V778693 + 1. assign V724620 = V185263 - 1. assign V140123 = V175973. assign V193600 = V958752 + 1. assign V189664 = V778693. assign V504105 = V855713. assign V984424 = V409424 + 1. assign V566978 = V363972 - 1. assign V958752 = V154892 - 1. assign V484139 = V592092 - 1. assign V343733 = V787791 + 1. assign V438968 = V764863 + 1. assign V498814 = V175973 + 1. assign V727307 = V372598. assign V664838 = V405202. assign V107745 = V554955. assign V764863 = V375645 + 1. assign V598648 = V554955 + 1. assign V780235 = V867647. assign V898827 = V546818 - 1. assign V334158 = V778693 - 1. assign V189208 = V271221 + 1. assign V109925 = V723252 + 1. assign V346908 = V714269 - 1. assign V280051 = V467590 - 1. assign V515587 = V175973 + 1. assign V086837 = V375645 + 1. assign V024208 = V928879 - 1. assign V018925 = V206948. assign V070015 = V271221 + 1. assign V745490 = V375645 + 1. assign V778693 = V806230. assign V723252 = V334158. assign V467590 = V137541. assign V229971 = V498814 + 1. assign V886058 = V490520. assign V694421 = V317544. assign V213067 = 7. assign V680202 = V450459. assign V857234 = V443930 + 1. assign V994662 = V528153. assign V492640 = V641712 + 1. assign V036319 = V467204 + 1. assign V363972 = V279457 + 1. assign V784525 = V778693 - 1. assign V748680 = V271221. assign V175973 = V334158 - 1. assign V852050 = V994662 + 1. assign V496056 = V478543. assign V787791 = V088624 - 1. assign V117542 = V778693 - 1. assign V603205 = V416429 + 1. assign V124520 = V373857 - 1. assign V531478 = V317706. assign V416429 = V549725 + 1. assign V467204 = V271221 + 1. assign V934653 = V784525 - 1. assign V154892 = V375645. assign V929866 = V723252 + 1. assign V169255 = V279241 - 1. assign V777823 = V758653 + 1. assign V528153 = V498814 + 1. assign V714330 = V806230. assign V331250 = V554955 - 1. assign V732006 = V928642. assign V785673 = V928642. assign V317544 = V906858 - 1. assign V380791 = V732006. assign V543078 = V745490 - 1. assign V193373 = V598648 - 1. assign V206948 = V023076 + 1. assign V207350 = V504105 - 1. assign V056372 = V086837 + 1. assign V682925 = V592092 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V197573 = V088624. assign V928879 = V758653. assign V200151 = V852050. assign V013857 = V213067. assign V862790 = V680202 + 1. assign V540582 = V480052. assign V980046 = V543078 - 1. assign V825851 = V723252 - 1. assign V717612 = V958752 + 1. assign V908502 = V485838 - 1. assign V271221 = V086837. assign V509806 = V960478 + 1. assign V144165 = V784525 + 1. assign V818211 = V185263 + 1. assign V641712 = V714269 - 1. assign V800564 = V176637 - 1. assign V997990 = V784525. assign V249071 = V825851 - 1. assign V263455 = V771525 - 1. assign V771525 = V132240 - 1. assign V677240 = V528153. assign V993327 = V724620 - 1. assign V758653 = V598648. assign V480052 = V373857 + 1. assign V796625 = V279457. assign V146107 = V480052 + 1. assign V147682 = V984424 + 1. assign V837400 = V354408 - 1. assign V440858 = V450459. assign V546818 = V528153. assign V942920 = V086837 - 1. assign V279457 = V189664 - 1. assign V176637 = V825851 + 1. assign V554955 = V375645 + 1. assign V088624 = V825851 - 1. assign V450459 = V942920 + 1. assign V485838 = V175973 + 1. assign V020118 = V132240 - 1. assign V846846 = V598648 + 1. assign V482000 = V206948 - 1. assign V137541 = V732006. assign V317706 = V818211 + 1. assign V023076 = V478543 - 1. assign V389368 = V029192 + 1. assign V029192 = V592092. assign V374732 = V997990. assign V037662 = V088624. assign V611141 = V279457. assign V687937 = V806230. assign V137126 = V189208 + 1. assign V409424 = V960478. assign V637937 = V467204. assign V025942 = V021505 - 1. assign V284318 = V380791. assign V867647 = V416429 + 1. assign V805495 = V515587 + 1. assign V307234 = V206948 + 1. assign V963547 = V373857 - 1. assign V928642 = V317706 + 1. assign V053521 = V307234 - 1. assign V844561 = V764863 + 1. assign V129440 = V485838. assign V354408 = V993327. assign V556790 = V440858. assign V660431 = V189664 - 1. assign V734964 = V175973 + 1. assign V960478 = V334158 - 1. assign V375645 = V806230 + 1. assign V880322 = V492640. assign V549725 = V745490. assign V425926 = V598648. assign V372598 = V687937 - 1. assign V021505 = V185263 + 1. assign V851447 = V029192 + 1. assign V678002 = V109925 + 1. assign V373857 = V375645. assign V714269 = V416429 - 1. assign V279241 = V806230. assign V402096 = V409424 - 1. assign V906858 = V375645 + 1. assign V490520 = V784525 + 1. assign V748446 = V189208 - 1. assign V990595 = V279457 + 1. assign V478543 = V723252 + 1. assign V961749 = V440858. assign V127439 = V549725. assign V455940 = V504105. assign V592092 = V504105 + 1. assign V405202 = V837400. assign V188755 = V805495 - 1. assign V426326 = V193373 + 1. assign V627527 = V908502 + 1. assign V855713 = V778693 - 1. assign V132240 = V898827. assign V967312 = V467204 - 1. assign V671340 = V549725 + 1. assign V443930 = V023076. assign V892503 = V778693. assign V185263 = V778693 + 1. assign V724620 = V185263 - 1. assign V140123 = V175973. assign V193600 = V958752 + 1. assign V189664 = V778693. assign V504105 = V855713. assign V984424 = V409424 + 1. assign V566978 = V363972 - 1. assign V958752 = V154892 - 1. assign V484139 = V592092 - 1. assign V343733 = V787791 + 1. assign V438968 = V764863 + 1. assign V498814 = V175973 + 1. assign V727307 = V372598. assign V664838 = V405202. assign V107745 = V554955. assign V764863 = V375645 + 1. assign V598648 = V554955 + 1. assign V780235 = V867647. assign V898827 = V546818 - 1. assign V334158 = V778693 - 1. assign V189208 = V271221 + 1. assign V109925 = V723252 + 1. assign V346908 = V714269 - 1. assign V280051 = V467590 - 1. assign V515587 = V175973 + 1. assign V086837 = V375645 + 1. assign V024208 = V928879 - 1. assign V018925 = V206948. assign V070015 = V271221 + 1. assign V745490 = V375645 + 1. assign V778693 = V806230. assign V723252 = V334158. assign V467590 = V137541. assign V229971 = V498814 + 1. assign V886058 = V490520. assign V694421 = V317544. assign V213067 = 7. assign V680202 = V450459. assign V857234 = V443930 + 1. assign V994662 = V528153. assign V492640 = V641712 + 1. assign V036319 = V467204 + 1. assign V363972 = V279457 + 1. assign V784525 = V778693 - 1. assign V748680 = V271221. assign V175973 = V334158 - 1. assign V852050 = V994662 + 1. assign V496056 = V478543. assign V787791 = V088624 - 1. assign V117542 = V778693 - 1. assign V603205 = V416429 + 1. assign V124520 = V373857 - 1. assign V531478 = V317706. assign V416429 = V549725 + 1. assign V467204 = V271221 + 1. assign V934653 = V784525 - 1. assign V154892 = V375645. assign V929866 = V723252 + 1. assign V169255 = V279241 - 1. assign V777823 = V758653 + 1. assign V528153 = V498814 + 1. assign V714330 = V806230. assign V331250 = V554955 - 1. assign V732006 = V928642. assign V785673 = V928642. assign V317544 = V906858 - 1. assign V380791 = V732006. assign V543078 = V745490 - 1. assign V193373 = V598648 - 1. assign V206948 = V023076 + 1. assign V207350 = V504105 - 1. assign V056372 = V086837 + 1. assign V682925 = V592092 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV213067 = 7;\n\nFrom these direct assignment(s), we have: \nV013857 = V213067 = 7;\nNo other variables can be derived from V013857;\nNo other variables can be derived from V213067;\n\nNow we have done all the calculations. Derived variables are:\nV213067 = 7;\nV013857 = 7;\n\nNow we have finished this problem. ANSWER:\nV213067, V013857\n", "role": "assistant" } ]

[ "V291775" ]

[ { "content": "<context>\nassign V179796 = V498270. assign V713406 = V388195 + 1. assign V595544 = V607862. assign V982386 = V602447 + 1. assign V398405 = V567581 + 1. assign V276058 = V816151 - 1. assign V943630 = V370249 + 1. assign V390660 = V787181 - 1. assign V615047 = V473166 + 1. assign V645353 = V161909 - 1. assign V111638 = V131765. assign V460782 = V177920 - 1. assign V332890 = V816151. assign V361784 = V983320 - 1. assign V262094 = V348882 + 1. assign V832708 = V342719 + 1. assign V724911 = V057480. assign V562356 = V814262 - 1. assign V978664 = V532729. assign V668098 = V645470 + 1. assign V380412 = V890538 + 1. assign V144255 = V230943. assign V813425 = V053818 + 1. assign V131848 = V460782 - 1. assign V793447 = V144255. assign V622073 = V723166 + 1. assign V692448 = V615047 + 1. assign V016730 = V073268 + 1. assign V231787 = V814262 - 1. assign V824016 = V879181 + 1. assign V869366 = V816384. assign V232745 = V231787 + 1. assign V498270 = V982386 - 1. assign V253212 = V842575 - 1. assign V614881 = V472302 - 1. assign V158234 = V787181 - 1. assign V903513 = V370249 - 1. assign V723166 = V890538 + 1. assign V577289 = V943630 + 1. assign V266424 = V762527 + 1. assign V318337 = V607862 - 1. assign V374123 = V231787 + 1. assign V856215 = V063126. assign V815749 = V342719. assign V377685 = V169279. assign V670184 = V073268. assign V245696 = V318337 - 1. assign V711799 = V418914 + 1. assign V018211 = V943630 + 1. assign V645470 = V787181 - 1. assign V716317 = V415238. assign V062402 = V373328. assign V868807 = V073268 - 1. assign V236282 = V668098 + 1. assign V690116 = V813425. assign V816151 = V815749 - 1. assign V072964 = V969721 - 1. assign V763777 = V216650. assign V418914 = V982386. assign V842575 = V832708 - 1. assign V268067 = V890538. assign V532729 = V342719. assign V342719 = V284246 - 1. assign V794512 = V810335 - 1. assign V285112 = V498270. assign V174279 = V169869 + 1. assign V762527 = V842575 - 1. assign V518698 = V021607. assign V890538 = V814262 + 1. assign V620526 = V301797 - 1. assign V567581 = V530032. assign V711026 = V856215. assign V177920 = V145578 - 1. assign V748020 = V390660 + 1. assign V599962 = V478673 - 1. assign V704828 = V816151 - 1. assign V411818 = V177920 + 1. assign V192067 = V380412 - 1. assign V301797 = V614881 - 1. assign V818191 = V559816 + 1. assign V330385 = V567581. assign V814262 = V284246. assign V208239 = V903513 + 1. assign V983407 = V230943 + 1. assign V165113 = V301797. assign V373328 = V982386. assign V778105 = V180512 + 1. assign V473166 = V284246 - 1. assign V180512 = V231787 + 1. assign V219099 = V180512. assign V385278 = V213448 + 1. assign V969721 = V390660. assign V360162 = V390660 - 1. assign V958861 = V149923. assign V916945 = V344182 - 1. assign V329957 = V614881 + 1. assign V154062 = V849432. assign V158531 = V532729 - 1. assign V607862 = V276058 + 1. assign V064415 = V016730. assign V344182 = V268015 + 1. assign V044853 = V177920. assign V348882 = V216650 + 1. assign V169869 = V813425 - 1. assign V328786 = V559816 + 1. assign V787181 = V015227. assign V131765 = V983320. assign V973391 = V903513 - 1. assign V100222 = V015227 - 1. assign V021607 = V824016 + 1. assign V128127 = V567581 + 1. assign V816384 = V284246 + 1. assign V398800 = V560869 + 1. assign V415238 = V982386 - 1. assign V073268 = V814262 - 1. assign V810335 = V716317 + 1. assign V578219 = V978664 + 1. assign V413610 = V231787 - 1. assign V258518 = V936398 - 1. assign V169311 = V301797. assign V715873 = V864991 - 1. assign V692574 = V158531 - 1. assign V478673 = V284246. assign V109713 = V787181 - 1. assign V936398 = V266424 - 1. assign V230943 = V983320 + 1. assign V445779 = V128127 + 1. assign V015227 = V373328 + 1. assign V465415 = V473166 - 1. assign V364935 = V472302 + 1. assign V314834 = V236282 - 1. assign V370249 = V816151 + 1. assign V213448 = V973391 - 1. assign V919505 = V762527. assign V249324 = V367261. assign V441795 = V983320 + 1. assign V934225 = V291775 + 1. assign V161909 = V478673. assign V268015 = V869366. assign V251966 = V478673. assign V415455 = V342719. assign V340030 = V258518 - 1. assign V955025 = V073268. assign V631335 = V161909. assign V106187 = V367261. assign V879181 = V284246 + 1. assign V145578 = V622073 - 1. assign V053818 = V062402. assign V388195 = V109713 - 1. assign V805103 = V445779 + 1. assign V530032 = V983407. assign V358085 = V842575 + 1. assign V560869 = V073268. assign V367261 = V762527 + 1. assign V515298 = V794512 - 1. assign V216650 = V787181 + 1. assign V849432 = V062402 - 1. assign V943473 = V390660 - 1. assign V169279 = V890538. assign V057480 = V268015 - 1. assign V443535 = V388195. assign V559816 = V231787. assign V472302 = V602447. assign V291775 = 3. assign V864128 = V982386 + 1. assign V032024 = V018211 + 1. assign V063126 = V724911 - 1. assign V149923 = V144255 + 1. assign V983320 = V890538 - 1. assign V864991 = V815749. assign V602447 = V284246. assign V954938 = V472302 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V179796 = V498270. assign V713406 = V388195 + 1. assign V595544 = V607862. assign V982386 = V602447 + 1. assign V398405 = V567581 + 1. assign V276058 = V816151 - 1. assign V943630 = V370249 + 1. assign V390660 = V787181 - 1. assign V615047 = V473166 + 1. assign V645353 = V161909 - 1. assign V111638 = V131765. assign V460782 = V177920 - 1. assign V332890 = V816151. assign V361784 = V983320 - 1. assign V262094 = V348882 + 1. assign V832708 = V342719 + 1. assign V724911 = V057480. assign V562356 = V814262 - 1. assign V978664 = V532729. assign V668098 = V645470 + 1. assign V380412 = V890538 + 1. assign V144255 = V230943. assign V813425 = V053818 + 1. assign V131848 = V460782 - 1. assign V793447 = V144255. assign V622073 = V723166 + 1. assign V692448 = V615047 + 1. assign V016730 = V073268 + 1. assign V231787 = V814262 - 1. assign V824016 = V879181 + 1. assign V869366 = V816384. assign V232745 = V231787 + 1. assign V498270 = V982386 - 1. assign V253212 = V842575 - 1. assign V614881 = V472302 - 1. assign V158234 = V787181 - 1. assign V903513 = V370249 - 1. assign V723166 = V890538 + 1. assign V577289 = V943630 + 1. assign V266424 = V762527 + 1. assign V318337 = V607862 - 1. assign V374123 = V231787 + 1. assign V856215 = V063126. assign V815749 = V342719. assign V377685 = V169279. assign V670184 = V073268. assign V245696 = V318337 - 1. assign V711799 = V418914 + 1. assign V018211 = V943630 + 1. assign V645470 = V787181 - 1. assign V716317 = V415238. assign V062402 = V373328. assign V868807 = V073268 - 1. assign V236282 = V668098 + 1. assign V690116 = V813425. assign V816151 = V815749 - 1. assign V072964 = V969721 - 1. assign V763777 = V216650. assign V418914 = V982386. assign V842575 = V832708 - 1. assign V268067 = V890538. assign V532729 = V342719. assign V342719 = V284246 - 1. assign V794512 = V810335 - 1. assign V285112 = V498270. assign V174279 = V169869 + 1. assign V762527 = V842575 - 1. assign V518698 = V021607. assign V890538 = V814262 + 1. assign V620526 = V301797 - 1. assign V567581 = V530032. assign V711026 = V856215. assign V177920 = V145578 - 1. assign V748020 = V390660 + 1. assign V599962 = V478673 - 1. assign V704828 = V816151 - 1. assign V411818 = V177920 + 1. assign V192067 = V380412 - 1. assign V301797 = V614881 - 1. assign V818191 = V559816 + 1. assign V330385 = V567581. assign V814262 = V284246. assign V208239 = V903513 + 1. assign V983407 = V230943 + 1. assign V165113 = V301797. assign V373328 = V982386. assign V778105 = V180512 + 1. assign V473166 = V284246 - 1. assign V180512 = V231787 + 1. assign V219099 = V180512. assign V385278 = V213448 + 1. assign V969721 = V390660. assign V360162 = V390660 - 1. assign V958861 = V149923. assign V916945 = V344182 - 1. assign V329957 = V614881 + 1. assign V154062 = V849432. assign V158531 = V532729 - 1. assign V607862 = V276058 + 1. assign V064415 = V016730. assign V344182 = V268015 + 1. assign V044853 = V177920. assign V348882 = V216650 + 1. assign V169869 = V813425 - 1. assign V328786 = V559816 + 1. assign V787181 = V015227. assign V131765 = V983320. assign V973391 = V903513 - 1. assign V100222 = V015227 - 1. assign V021607 = V824016 + 1. assign V128127 = V567581 + 1. assign V816384 = V284246 + 1. assign V398800 = V560869 + 1. assign V415238 = V982386 - 1. assign V073268 = V814262 - 1. assign V810335 = V716317 + 1. assign V578219 = V978664 + 1. assign V413610 = V231787 - 1. assign V258518 = V936398 - 1. assign V169311 = V301797. assign V715873 = V864991 - 1. assign V692574 = V158531 - 1. assign V478673 = V284246. assign V109713 = V787181 - 1. assign V936398 = V266424 - 1. assign V230943 = V983320 + 1. assign V445779 = V128127 + 1. assign V015227 = V373328 + 1. assign V465415 = V473166 - 1. assign V364935 = V472302 + 1. assign V314834 = V236282 - 1. assign V370249 = V816151 + 1. assign V213448 = V973391 - 1. assign V919505 = V762527. assign V249324 = V367261. assign V441795 = V983320 + 1. assign V934225 = V291775 + 1. assign V161909 = V478673. assign V268015 = V869366. assign V251966 = V478673. assign V415455 = V342719. assign V340030 = V258518 - 1. assign V955025 = V073268. assign V631335 = V161909. assign V106187 = V367261. assign V879181 = V284246 + 1. assign V145578 = V622073 - 1. assign V053818 = V062402. assign V388195 = V109713 - 1. assign V805103 = V445779 + 1. assign V530032 = V983407. assign V358085 = V842575 + 1. assign V560869 = V073268. assign V367261 = V762527 + 1. assign V515298 = V794512 - 1. assign V216650 = V787181 + 1. assign V849432 = V062402 - 1. assign V943473 = V390660 - 1. assign V169279 = V890538. assign V057480 = V268015 - 1. assign V443535 = V388195. assign V559816 = V231787. assign V472302 = V602447. assign V291775 = 3. assign V864128 = V982386 + 1. assign V032024 = V018211 + 1. assign V063126 = V724911 - 1. assign V149923 = V144255 + 1. assign V983320 = V890538 - 1. assign V864991 = V815749. assign V602447 = V284246. assign V954938 = V472302 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV291775 = 3;\n\nFrom these direct assignment(s), we have: \nV934225 = V291775 + 1 = 3 + 1 =4;\nNo other variables can be derived from V934225;\nNo other variables can be derived from V291775;\n\nNow we have done all the calculations. Derived variables are:\nV291775 = 3;\nV934225 = 4;\n\nNow we have finished this problem. ANSWER:\nV291775\n", "role": "assistant" } ]

[ "V138707" ]

[ { "content": "<context>\nassign V824163 = V048843. assign V745676 = V761570. assign V910304 = V470569 + 1. assign V119735 = V432366 - 1. assign V070413 = V623441. assign V478847 = V432223 + 1. assign V308982 = V623441 + 1. assign V623441 = V459755 + 1. assign V911575 = V197987 - 1. assign V849156 = V290083. assign V774961 = V610071. assign V895005 = V018653. assign V362827 = V031308 + 1. assign V763244 = V162404 + 1. assign V092209 = V761570 - 1. assign V059043 = V529653 - 1. assign V588258 = V182172. assign V557977 = V650466. assign V838460 = V227333 + 1. assign V184426 = V321215 - 1. assign V780767 = V541989. assign V291819 = V454828 - 1. assign V483733 = V121739. assign V650466 = V290083 - 1. assign V216847 = V623441 - 1. assign V879465 = V319498. assign V790133 = V407361 + 1. assign V039072 = V780767 + 1. assign V195610 = V493380 - 1. assign V935975 = V703301. assign V846839 = V238032. assign V227333 = V459755 + 1. assign V716077 = V587611 - 1. assign V706226 = V197987 - 1. assign V459755 = V432223 + 1. assign V493380 = V824163 + 1. assign V910598 = V308982. assign V319498 = V234009. assign V577648 = V610071. assign V162102 = V273344 + 1. assign V487152 = V925936 + 1. assign V416041 = V578405 + 1. assign V234009 = V216847 + 1. assign V583566 = V652981 + 1. assign V177734 = V650466 - 1. assign V229781 = V868230. assign V426870 = V626250 - 1. assign V903562 = V868230. assign V759009 = V846179. assign V659518 = V384218. assign V880300 = V659518 - 1. assign V138707 = V267430 + 1. assign V381358 = V639782 - 1. assign V162749 = V048843 + 1. assign V902707 = V273344. assign V827242 = V903562. assign V584101 = V234009. assign V236425 = V197702 + 1. assign V723053 = V759009. assign V333098 = V055557 + 1. assign V454828 = V849156 + 1. assign V151007 = V384218. assign V987540 = V925936. assign V155141 = V587096 - 1. assign V711924 = V432223 + 1. assign V048843 = V432223 - 1. assign V040859 = V162749 + 1. assign V572269 = V493380 + 1. assign V887263 = V236425 + 1. assign V571504 = V527240 + 1. assign V587096 = V761570 - 1. assign V332320 = V572269. assign V578405 = V864557 + 1. assign V971887 = V005358. assign V499955 = V031308. assign V008708 = V622298. assign V407361 = V227333. assign V269244 = V763244 - 1. assign V943944 = V527240. assign V121739 = V800240 + 1. assign V139042 = V432223 + 1. assign V290083 = V459755 + 1. assign V721069 = V924882 - 1. assign V112967 = V623441. assign V622298 = V800240 + 1. assign V262544 = V432223 + 1. assign V399667 = V885157. assign V039733 = V584101 + 1. assign V957387 = V092209 + 1. assign V272470 = V949479 + 1. assign V538084 = V659518 + 1. assign V610071 = V162749. assign V267430 = 1. assign V579158 = V162749 + 1. assign V162404 = V319498 - 1. assign V761570 = V800240. assign V909128 = V610071. assign V803957 = V105195 - 1. assign V913609 = V197702 + 1. assign V105195 = V824163 + 1. assign V161217 = V173809 + 1. assign V011250 = V031308 + 1. assign V652981 = V623441. assign V276617 = V623441 + 1. assign V109786 = V426095 + 1. assign V018653 = V162102 + 1. assign V311850 = V234009. assign V527240 = V432223 - 1. assign V864557 = V262544 + 1. assign V182172 = V234009 - 1. assign V031308 = V527240 + 1. assign V381353 = V971887. assign V173809 = V121739 - 1. assign V197702 = V234009 - 1. assign V918284 = V105195 + 1. assign V517952 = V578405 - 1. assign V356456 = V610071. assign V964179 = V216847 + 1. assign V336054 = V800240. assign V700414 = V868230. assign V127726 = V577648. assign V541989 = V989810 + 1. assign V379141 = V105195. assign V340844 = V964179. assign V983545 = V197702 - 1. assign V811783 = V909128. assign V529653 = V659518 - 1. assign V005358 = V407361 - 1. assign V779040 = V943944 - 1. assign V801253 = V273344 - 1. assign V470569 = V527240 + 1. assign V866422 = V949479 + 1. assign V273344 = V459755. assign V238032 = V139042. assign V703301 = V276617. assign V587611 = V572269. assign V913123 = V915014 - 1. assign V767859 = V626250. assign V055557 = V880300 - 1. assign V885157 = V623441. assign V195294 = V824163. assign V354898 = V276617 + 1. assign V384903 = V092209 + 1. assign V868230 = V384218. assign V639782 = V139042 + 1. assign V008339 = V763244 + 1. assign V302742 = V902707 + 1. assign V400485 = V195294 + 1. assign V949479 = V800240. assign V925936 = V864557. assign V915014 = V706226 - 1. assign V888700 = V949479 - 1. assign V321215 = V652981. assign V846179 = V888700 - 1. assign V912889 = V139042 + 1. assign V951980 = V846839. assign V384218 = V459755. assign V924882 = V745676. assign V626250 = V887263 + 1. assign V989810 = V527240. assign V637812 = V477752 - 1. assign V477752 = V800240. assign V432366 = V273344 - 1. assign V311327 = V912889 - 1. assign V609061 = V031308. assign V800240 = V216847 + 1. assign V093759 = V321215 - 1. assign V426095 = V121739. assign V772524 = V626250 + 1. assign V197987 = V227333 + 1. assign V588382 = V800240. assign V426508 = V587096 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V824163 = V048843. assign V745676 = V761570. assign V910304 = V470569 + 1. assign V119735 = V432366 - 1. assign V070413 = V623441. assign V478847 = V432223 + 1. assign V308982 = V623441 + 1. assign V623441 = V459755 + 1. assign V911575 = V197987 - 1. assign V849156 = V290083. assign V774961 = V610071. assign V895005 = V018653. assign V362827 = V031308 + 1. assign V763244 = V162404 + 1. assign V092209 = V761570 - 1. assign V059043 = V529653 - 1. assign V588258 = V182172. assign V557977 = V650466. assign V838460 = V227333 + 1. assign V184426 = V321215 - 1. assign V780767 = V541989. assign V291819 = V454828 - 1. assign V483733 = V121739. assign V650466 = V290083 - 1. assign V216847 = V623441 - 1. assign V879465 = V319498. assign V790133 = V407361 + 1. assign V039072 = V780767 + 1. assign V195610 = V493380 - 1. assign V935975 = V703301. assign V846839 = V238032. assign V227333 = V459755 + 1. assign V716077 = V587611 - 1. assign V706226 = V197987 - 1. assign V459755 = V432223 + 1. assign V493380 = V824163 + 1. assign V910598 = V308982. assign V319498 = V234009. assign V577648 = V610071. assign V162102 = V273344 + 1. assign V487152 = V925936 + 1. assign V416041 = V578405 + 1. assign V234009 = V216847 + 1. assign V583566 = V652981 + 1. assign V177734 = V650466 - 1. assign V229781 = V868230. assign V426870 = V626250 - 1. assign V903562 = V868230. assign V759009 = V846179. assign V659518 = V384218. assign V880300 = V659518 - 1. assign V138707 = V267430 + 1. assign V381358 = V639782 - 1. assign V162749 = V048843 + 1. assign V902707 = V273344. assign V827242 = V903562. assign V584101 = V234009. assign V236425 = V197702 + 1. assign V723053 = V759009. assign V333098 = V055557 + 1. assign V454828 = V849156 + 1. assign V151007 = V384218. assign V987540 = V925936. assign V155141 = V587096 - 1. assign V711924 = V432223 + 1. assign V048843 = V432223 - 1. assign V040859 = V162749 + 1. assign V572269 = V493380 + 1. assign V887263 = V236425 + 1. assign V571504 = V527240 + 1. assign V587096 = V761570 - 1. assign V332320 = V572269. assign V578405 = V864557 + 1. assign V971887 = V005358. assign V499955 = V031308. assign V008708 = V622298. assign V407361 = V227333. assign V269244 = V763244 - 1. assign V943944 = V527240. assign V121739 = V800240 + 1. assign V139042 = V432223 + 1. assign V290083 = V459755 + 1. assign V721069 = V924882 - 1. assign V112967 = V623441. assign V622298 = V800240 + 1. assign V262544 = V432223 + 1. assign V399667 = V885157. assign V039733 = V584101 + 1. assign V957387 = V092209 + 1. assign V272470 = V949479 + 1. assign V538084 = V659518 + 1. assign V610071 = V162749. assign V267430 = 1. assign V579158 = V162749 + 1. assign V162404 = V319498 - 1. assign V761570 = V800240. assign V909128 = V610071. assign V803957 = V105195 - 1. assign V913609 = V197702 + 1. assign V105195 = V824163 + 1. assign V161217 = V173809 + 1. assign V011250 = V031308 + 1. assign V652981 = V623441. assign V276617 = V623441 + 1. assign V109786 = V426095 + 1. assign V018653 = V162102 + 1. assign V311850 = V234009. assign V527240 = V432223 - 1. assign V864557 = V262544 + 1. assign V182172 = V234009 - 1. assign V031308 = V527240 + 1. assign V381353 = V971887. assign V173809 = V121739 - 1. assign V197702 = V234009 - 1. assign V918284 = V105195 + 1. assign V517952 = V578405 - 1. assign V356456 = V610071. assign V964179 = V216847 + 1. assign V336054 = V800240. assign V700414 = V868230. assign V127726 = V577648. assign V541989 = V989810 + 1. assign V379141 = V105195. assign V340844 = V964179. assign V983545 = V197702 - 1. assign V811783 = V909128. assign V529653 = V659518 - 1. assign V005358 = V407361 - 1. assign V779040 = V943944 - 1. assign V801253 = V273344 - 1. assign V470569 = V527240 + 1. assign V866422 = V949479 + 1. assign V273344 = V459755. assign V238032 = V139042. assign V703301 = V276617. assign V587611 = V572269. assign V913123 = V915014 - 1. assign V767859 = V626250. assign V055557 = V880300 - 1. assign V885157 = V623441. assign V195294 = V824163. assign V354898 = V276617 + 1. assign V384903 = V092209 + 1. assign V868230 = V384218. assign V639782 = V139042 + 1. assign V008339 = V763244 + 1. assign V302742 = V902707 + 1. assign V400485 = V195294 + 1. assign V949479 = V800240. assign V925936 = V864557. assign V915014 = V706226 - 1. assign V888700 = V949479 - 1. assign V321215 = V652981. assign V846179 = V888700 - 1. assign V912889 = V139042 + 1. assign V951980 = V846839. assign V384218 = V459755. assign V924882 = V745676. assign V626250 = V887263 + 1. assign V989810 = V527240. assign V637812 = V477752 - 1. assign V477752 = V800240. assign V432366 = V273344 - 1. assign V311327 = V912889 - 1. assign V609061 = V031308. assign V800240 = V216847 + 1. assign V093759 = V321215 - 1. assign V426095 = V121739. assign V772524 = V626250 + 1. assign V197987 = V227333 + 1. assign V588382 = V800240. assign V426508 = V587096 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV267430 = 1;\n\nFrom these direct assignment(s), we have: \nV138707 = V267430 + 1 = 1 + 1 =2;\nNo other variables can be derived from V138707;\nNo other variables can be derived from V267430;\n\nNow we have done all the calculations. Derived variables are:\nV267430 = 1;\nV138707 = 2;\n\nNow we have finished this problem. ANSWER:\nV138707\n", "role": "assistant" } ]

[ "V432819" ]

[ { "content": "<context>\nassign V503745 = V733837. assign V570637 = V476509. assign V346357 = V245577. assign V852614 = V888377 - 1. assign V497055 = V442786 - 1. assign V665138 = V540557 + 1. assign V066474 = V818892 - 1. assign V442786 = V066474. assign V818182 = V727107. assign V733352 = V755378 - 1. assign V978810 = V647673. assign V786626 = V209780 + 1. assign V985578 = V932715. assign V242976 = V570637 + 1. assign V050654 = V355721 + 1. assign V060009 = V540557. assign V589954 = V057692 - 1. assign V726639 = V476509 + 1. assign V330568 = V066474 - 1. assign V084378 = V138268 + 1. assign V563271 = V355721. assign V325521 = V727107 + 1. assign V727958 = V259751 - 1. assign V977221 = V577192. assign V531129 = V709300. assign V064374 = V179076 - 1. assign V691238 = V252710 + 1. assign V861342 = V818892 - 1. assign V988846 = V866668 + 1. assign V576137 = V057692. assign V305340 = V057692 - 1. assign V378375 = V550159. assign V507499 = V888377. assign V057692 = V909075 + 1. assign V269879 = V432090 - 1. assign V288391 = V330568. assign V432090 = V647673 + 1. assign V318813 = V252710 + 1. assign V975232 = V070548. assign V586465 = V550159 - 1. assign V305329 = V731760 - 1. assign V609129 = V189251 + 1. assign V784258 = V060937 - 1. assign V682308 = V503745 + 1. assign V289426 = V917843 - 1. assign V808263 = V445172. assign V166162 = V118908 - 1. assign V707258 = V550159 - 1. assign V902233 = V212838 + 1. assign V050190 = V057692 - 1. assign V709300 = V325521 + 1. assign V726779 = V852614. assign V110596 = V050190 - 1. assign V252710 = V060937. assign V118225 = V339771 - 1. assign V482159 = V131349 + 1. assign V842474 = V252710. assign V636697 = V818892 + 1. assign V412370 = V589954 - 1. assign V909075 = V060937. assign V278866 = V971281 - 1. assign V427286 = V584891 + 1. assign V554300 = V412370 - 1. assign V128804 = V020105 - 1. assign V736231 = V511674. assign V971281 = V507849. assign V228360 = V412370 - 1. assign V647673 = V584891 + 1. assign V589853 = V886024 - 1. assign V651078 = V540557 - 1. assign V309969 = V476509 + 1. assign V605512 = V496203 + 1. assign V558799 = V784971 - 1. assign V178639 = V149877. assign V517236 = V807766. assign V131349 = V886024. assign V138268 = V651078 + 1. assign V355721 = V584891 + 1. assign V888377 = V909075 + 1. assign V917843 = V886024 + 1. assign V733837 = V888377. assign V498803 = V584891 - 1. assign V395878 = V111022. assign V432819 = 6. assign V731760 = V609129 + 1. assign V824974 = V636697 + 1. assign V550159 = V179076. assign V959203 = V189251 + 1. assign V034740 = V733352 - 1. assign V514785 = V318813 - 1. assign V712573 = V128804 + 1. assign V323766 = V111022 + 1. assign V584891 = V909075 + 1. assign V611777 = V609129. assign V902834 = V325521 + 1. assign V220256 = V442786. assign V638381 = V289426. assign V558579 = V111022 + 1. assign V245577 = V584891 + 1. assign V866668 = V497055. assign V577192 = V647673. assign V020105 = V726639 - 1. assign V297685 = V622257 - 1. assign V160847 = V993996. assign V696642 = V511674 + 1. assign V622257 = V259751 - 1. assign V061102 = V081418 - 1. assign V496203 = V517236 + 1. assign V615802 = V432819 + 1. assign V349442 = V503745. assign V727107 = V118908. assign V682928 = V252710 - 1. assign V725847 = V498803 - 1. assign V807766 = V309969. assign V246022 = V458064 + 1. assign V070548 = V325521 - 1. assign V289311 = V696642 - 1. assign V540557 = V476509 - 1. assign V949540 = V309969 - 1. assign V149877 = V355721. assign V679109 = V325521 + 1. assign V445172 = V888377 - 1. assign V189251 = V066474 + 1. assign V869925 = V622257 + 1. assign V864693 = V220256 - 1. assign V325077 = V458064. assign V468528 = V733837 + 1. assign V784971 = V755378. assign V674135 = V111022 + 1. assign V733488 = V978825. assign V978825 = V252710. assign V697255 = V550159. assign V843075 = V605512. assign V118908 = V339771. assign V816582 = V558579 + 1. assign V339771 = V647673. assign V005125 = V784971 - 1. assign V179076 = V309969. assign V081418 = V828399. assign V868434 = V057692 - 1. assign V479217 = V325521. assign V175330 = V842474 - 1. assign V207991 = V727107. assign V209780 = V412370 + 1. assign V507849 = V886024 - 1. assign V460620 = V636697 - 1. assign V941049 = V554300 - 1. assign V755378 = V959203 - 1. assign V812882 = V252710. assign V252995 = V558579 + 1. assign V110051 = V323766 - 1. assign V476509 = V909075 - 1. assign V812051 = V828399. assign V689387 = V886024 - 1. assign V932715 = V057692 - 1. assign V004160 = V647673 - 1. assign V728517 = V638381. assign V886024 = V978825. assign V809208 = V824974 + 1. assign V511674 = V888377 + 1. assign V259751 = V432090 - 1. assign V987039 = V576137 - 1. assign V538340 = V977221. assign V818892 = V060937 - 1. assign V212838 = V427286. assign V882904 = V507499 + 1. assign V111022 = V949540 + 1. assign V352965 = V731760. assign V828399 = V179076. assign V795909 = V111022. assign V993996 = V346357 + 1. assign V458064 = V111022 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V503745 = V733837. assign V570637 = V476509. assign V346357 = V245577. assign V852614 = V888377 - 1. assign V497055 = V442786 - 1. assign V665138 = V540557 + 1. assign V066474 = V818892 - 1. assign V442786 = V066474. assign V818182 = V727107. assign V733352 = V755378 - 1. assign V978810 = V647673. assign V786626 = V209780 + 1. assign V985578 = V932715. assign V242976 = V570637 + 1. assign V050654 = V355721 + 1. assign V060009 = V540557. assign V589954 = V057692 - 1. assign V726639 = V476509 + 1. assign V330568 = V066474 - 1. assign V084378 = V138268 + 1. assign V563271 = V355721. assign V325521 = V727107 + 1. assign V727958 = V259751 - 1. assign V977221 = V577192. assign V531129 = V709300. assign V064374 = V179076 - 1. assign V691238 = V252710 + 1. assign V861342 = V818892 - 1. assign V988846 = V866668 + 1. assign V576137 = V057692. assign V305340 = V057692 - 1. assign V378375 = V550159. assign V507499 = V888377. assign V057692 = V909075 + 1. assign V269879 = V432090 - 1. assign V288391 = V330568. assign V432090 = V647673 + 1. assign V318813 = V252710 + 1. assign V975232 = V070548. assign V586465 = V550159 - 1. assign V305329 = V731760 - 1. assign V609129 = V189251 + 1. assign V784258 = V060937 - 1. assign V682308 = V503745 + 1. assign V289426 = V917843 - 1. assign V808263 = V445172. assign V166162 = V118908 - 1. assign V707258 = V550159 - 1. assign V902233 = V212838 + 1. assign V050190 = V057692 - 1. assign V709300 = V325521 + 1. assign V726779 = V852614. assign V110596 = V050190 - 1. assign V252710 = V060937. assign V118225 = V339771 - 1. assign V482159 = V131349 + 1. assign V842474 = V252710. assign V636697 = V818892 + 1. assign V412370 = V589954 - 1. assign V909075 = V060937. assign V278866 = V971281 - 1. assign V427286 = V584891 + 1. assign V554300 = V412370 - 1. assign V128804 = V020105 - 1. assign V736231 = V511674. assign V971281 = V507849. assign V228360 = V412370 - 1. assign V647673 = V584891 + 1. assign V589853 = V886024 - 1. assign V651078 = V540557 - 1. assign V309969 = V476509 + 1. assign V605512 = V496203 + 1. assign V558799 = V784971 - 1. assign V178639 = V149877. assign V517236 = V807766. assign V131349 = V886024. assign V138268 = V651078 + 1. assign V355721 = V584891 + 1. assign V888377 = V909075 + 1. assign V917843 = V886024 + 1. assign V733837 = V888377. assign V498803 = V584891 - 1. assign V395878 = V111022. assign V432819 = 6. assign V731760 = V609129 + 1. assign V824974 = V636697 + 1. assign V550159 = V179076. assign V959203 = V189251 + 1. assign V034740 = V733352 - 1. assign V514785 = V318813 - 1. assign V712573 = V128804 + 1. assign V323766 = V111022 + 1. assign V584891 = V909075 + 1. assign V611777 = V609129. assign V902834 = V325521 + 1. assign V220256 = V442786. assign V638381 = V289426. assign V558579 = V111022 + 1. assign V245577 = V584891 + 1. assign V866668 = V497055. assign V577192 = V647673. assign V020105 = V726639 - 1. assign V297685 = V622257 - 1. assign V160847 = V993996. assign V696642 = V511674 + 1. assign V622257 = V259751 - 1. assign V061102 = V081418 - 1. assign V496203 = V517236 + 1. assign V615802 = V432819 + 1. assign V349442 = V503745. assign V727107 = V118908. assign V682928 = V252710 - 1. assign V725847 = V498803 - 1. assign V807766 = V309969. assign V246022 = V458064 + 1. assign V070548 = V325521 - 1. assign V289311 = V696642 - 1. assign V540557 = V476509 - 1. assign V949540 = V309969 - 1. assign V149877 = V355721. assign V679109 = V325521 + 1. assign V445172 = V888377 - 1. assign V189251 = V066474 + 1. assign V869925 = V622257 + 1. assign V864693 = V220256 - 1. assign V325077 = V458064. assign V468528 = V733837 + 1. assign V784971 = V755378. assign V674135 = V111022 + 1. assign V733488 = V978825. assign V978825 = V252710. assign V697255 = V550159. assign V843075 = V605512. assign V118908 = V339771. assign V816582 = V558579 + 1. assign V339771 = V647673. assign V005125 = V784971 - 1. assign V179076 = V309969. assign V081418 = V828399. assign V868434 = V057692 - 1. assign V479217 = V325521. assign V175330 = V842474 - 1. assign V207991 = V727107. assign V209780 = V412370 + 1. assign V507849 = V886024 - 1. assign V460620 = V636697 - 1. assign V941049 = V554300 - 1. assign V755378 = V959203 - 1. assign V812882 = V252710. assign V252995 = V558579 + 1. assign V110051 = V323766 - 1. assign V476509 = V909075 - 1. assign V812051 = V828399. assign V689387 = V886024 - 1. assign V932715 = V057692 - 1. assign V004160 = V647673 - 1. assign V728517 = V638381. assign V886024 = V978825. assign V809208 = V824974 + 1. assign V511674 = V888377 + 1. assign V259751 = V432090 - 1. assign V987039 = V576137 - 1. assign V538340 = V977221. assign V818892 = V060937 - 1. assign V212838 = V427286. assign V882904 = V507499 + 1. assign V111022 = V949540 + 1. assign V352965 = V731760. assign V828399 = V179076. assign V795909 = V111022. assign V993996 = V346357 + 1. assign V458064 = V111022 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV432819 = 6;\n\nFrom these direct assignment(s), we have: \nV615802 = V432819 + 1 = 6 + 1 =7;\nNo other variables can be derived from V615802;\nNo other variables can be derived from V432819;\n\nNow we have done all the calculations. Derived variables are:\nV432819 = 6;\nV615802 = 7;\n\nNow we have finished this problem. ANSWER:\nV432819\n", "role": "assistant" } ]

[ "V461518" ]

[ { "content": "<context>\nassign V556235 = V373540 - 1. assign V746887 = V980790. assign V440107 = V328503 - 1. assign V295944 = V969172 + 1. assign V103594 = V386282. assign V783553 = V630203 - 1. assign V120876 = V869350. assign V480490 = V667935. assign V347227 = V969172 + 1. assign V181493 = V262042 + 1. assign V619254 = V011681. assign V876251 = V393699. assign V148161 = V295944 - 1. assign V111560 = V961600 + 1. assign V393699 = V690552 - 1. assign V096278 = V852689 + 1. assign V750959 = V381035. assign V461518 = V409302 - 1. assign V425910 = V074649 - 1. assign V757455 = V876251. assign V987829 = V316571 + 1. assign V740476 = V961600 + 1. assign V350723 = V156345 - 1. assign V641953 = V864316 + 1. assign V964957 = V103594 + 1. assign V374892 = V420645. assign V231446 = V923099 + 1. assign V549742 = V253682. assign V036370 = V088054. assign V242721 = V393699 + 1. assign V341961 = V690552 - 1. assign V630203 = V420645 + 1. assign V774317 = V864316 - 1. assign V714055 = V690552 + 1. assign V478197 = V420645 + 1. assign V864842 = V995910 - 1. assign V664090 = V673103 - 1. assign V292851 = V480490. assign V864316 = V033980. assign V088054 = V463647 + 1. assign V696152 = V374892 - 1. assign V249404 = V795770. assign V764867 = V842124 - 1. assign V627017 = V774317. assign V587861 = V876251 - 1. assign V033406 = V430130 - 1. assign V509152 = V334605. assign V900631 = V690552 + 1. assign V603295 = V283390 - 1. assign V074649 = V852689 - 1. assign V102223 = V241112. assign V902714 = V355266 + 1. assign V791921 = V478197 + 1. assign V794522 = V900631 - 1. assign V889509 = V033980 + 1. assign V694139 = V088054 + 1. assign V466957 = V721484 - 1. assign V299145 = V380776 + 1. assign V504450 = V714055 + 1. assign V171265 = V499516. assign V852689 = V690552 - 1. assign V463647 = V864316 - 1. assign V287692 = V491181. assign V995910 = V228081 + 1. assign V241112 = V355266. assign V262042 = V874337. assign V905705 = V347227. assign V869350 = V425910 + 1. assign V490627 = V903997. assign V811157 = V980790 + 1. assign V183160 = V274110 + 1. assign V316571 = V673103. assign V703587 = V693457 - 1. assign V693457 = V033980 + 1. assign V499516 = V102223 - 1. assign V690552 = V380776 + 1. assign V017297 = V206700 - 1. assign V252456 = V463647 + 1. assign V654256 = V262042 - 1. assign V961600 = V386282. assign V844037 = V703587 - 1. assign V203132 = V154230 + 1. assign V903997 = V299145 - 1. assign V389424 = V111560 - 1. assign V177086 = V774317. assign V386558 = V693457 - 1. assign V234640 = V852689 + 1. assign V872895 = V852689 - 1. assign V157328 = V074649. assign V491181 = V463647. assign V864013 = V203132. assign V672909 = V654256 - 1. assign V753168 = V033980 - 1. assign V922782 = V673103 + 1. assign V795770 = V800233 + 1. assign V274110 = V987829 + 1. assign V838943 = V923099 + 1. assign V730948 = V572516. assign V328503 = V795770. assign V809945 = V102223 - 1. assign V033980 = V667935 + 1. assign V030580 = V872895. assign V088080 = V523359. assign V011681 = V252456 + 1. assign V430130 = V038040. assign V702928 = V842124 + 1. assign V891010 = V274110 - 1. assign V919018 = V480490 + 1. assign V859882 = V088054. assign V406837 = V299145 + 1. assign V887434 = V876251 + 1. assign V842124 = V393699 - 1. assign V310039 = V036370 - 1. assign V206700 = V667935. assign V709029 = V171265 - 1. assign V721484 = V036370 - 1. assign V540246 = V905705 - 1. assign V834326 = V299145 - 1. assign V573299 = V902714 - 1. assign V558583 = V367510 - 1. assign V228081 = V328503. assign V699316 = V102223 - 1. assign V851412 = V874337 - 1. assign V386282 = V764867 + 1. assign V355266 = V393699. assign V621134 = V420645 - 1. assign V467587 = V393699 + 1. assign V154230 = V074649. assign V381035 = V355266. assign V754800 = V702928 + 1. assign V741151 = V157328 - 1. assign V800233 = V480490 - 1. assign V200136 = V374892. assign V813349 = V242721 - 1. assign V874337 = V852689 - 1. assign V612017 = V556235. assign V744476 = V228081 - 1. assign V214364 = V549742. assign V116951 = V709029. assign V327747 = V694139. assign V816630 = V355266 + 1. assign V207728 = V017297. assign V898762 = V148161 + 1. assign V648078 = V900631 - 1. assign V923099 = V355266 - 1. assign V572516 = V206700. assign V420645 = V919018. assign V333512 = V721484 - 1. assign V253682 = V864316. assign V263874 = V699316 - 1. assign V673103 = V088054 + 1. assign V466467 = V794522. assign V667935 = V380776. assign V334605 = V328503 - 1. assign V980790 = V262042 - 1. assign V423315 = V036370. assign V570381 = V664090. assign V523359 = V876251 + 1. assign V969172 = V466957 + 1. assign V156345 = V374892. assign V243903 = V800233. assign V038040 = V292851 + 1. assign V367510 = V287692. assign V244776 = V961600 + 1. assign V167662 = V033980 - 1. assign V508001 = V558583 - 1. assign V430060 = V074649 - 1. assign V373540 = V753168 - 1. assign V497048 = V038040 + 1. assign V097313 = V919018. assign V409302 = 6. assign V283390 = V497048.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V556235 = V373540 - 1. assign V746887 = V980790. assign V440107 = V328503 - 1. assign V295944 = V969172 + 1. assign V103594 = V386282. assign V783553 = V630203 - 1. assign V120876 = V869350. assign V480490 = V667935. assign V347227 = V969172 + 1. assign V181493 = V262042 + 1. assign V619254 = V011681. assign V876251 = V393699. assign V148161 = V295944 - 1. assign V111560 = V961600 + 1. assign V393699 = V690552 - 1. assign V096278 = V852689 + 1. assign V750959 = V381035. assign V461518 = V409302 - 1. assign V425910 = V074649 - 1. assign V757455 = V876251. assign V987829 = V316571 + 1. assign V740476 = V961600 + 1. assign V350723 = V156345 - 1. assign V641953 = V864316 + 1. assign V964957 = V103594 + 1. assign V374892 = V420645. assign V231446 = V923099 + 1. assign V549742 = V253682. assign V036370 = V088054. assign V242721 = V393699 + 1. assign V341961 = V690552 - 1. assign V630203 = V420645 + 1. assign V774317 = V864316 - 1. assign V714055 = V690552 + 1. assign V478197 = V420645 + 1. assign V864842 = V995910 - 1. assign V664090 = V673103 - 1. assign V292851 = V480490. assign V864316 = V033980. assign V088054 = V463647 + 1. assign V696152 = V374892 - 1. assign V249404 = V795770. assign V764867 = V842124 - 1. assign V627017 = V774317. assign V587861 = V876251 - 1. assign V033406 = V430130 - 1. assign V509152 = V334605. assign V900631 = V690552 + 1. assign V603295 = V283390 - 1. assign V074649 = V852689 - 1. assign V102223 = V241112. assign V902714 = V355266 + 1. assign V791921 = V478197 + 1. assign V794522 = V900631 - 1. assign V889509 = V033980 + 1. assign V694139 = V088054 + 1. assign V466957 = V721484 - 1. assign V299145 = V380776 + 1. assign V504450 = V714055 + 1. assign V171265 = V499516. assign V852689 = V690552 - 1. assign V463647 = V864316 - 1. assign V287692 = V491181. assign V995910 = V228081 + 1. assign V241112 = V355266. assign V262042 = V874337. assign V905705 = V347227. assign V869350 = V425910 + 1. assign V490627 = V903997. assign V811157 = V980790 + 1. assign V183160 = V274110 + 1. assign V316571 = V673103. assign V703587 = V693457 - 1. assign V693457 = V033980 + 1. assign V499516 = V102223 - 1. assign V690552 = V380776 + 1. assign V017297 = V206700 - 1. assign V252456 = V463647 + 1. assign V654256 = V262042 - 1. assign V961600 = V386282. assign V844037 = V703587 - 1. assign V203132 = V154230 + 1. assign V903997 = V299145 - 1. assign V389424 = V111560 - 1. assign V177086 = V774317. assign V386558 = V693457 - 1. assign V234640 = V852689 + 1. assign V872895 = V852689 - 1. assign V157328 = V074649. assign V491181 = V463647. assign V864013 = V203132. assign V672909 = V654256 - 1. assign V753168 = V033980 - 1. assign V922782 = V673103 + 1. assign V795770 = V800233 + 1. assign V274110 = V987829 + 1. assign V838943 = V923099 + 1. assign V730948 = V572516. assign V328503 = V795770. assign V809945 = V102223 - 1. assign V033980 = V667935 + 1. assign V030580 = V872895. assign V088080 = V523359. assign V011681 = V252456 + 1. assign V430130 = V038040. assign V702928 = V842124 + 1. assign V891010 = V274110 - 1. assign V919018 = V480490 + 1. assign V859882 = V088054. assign V406837 = V299145 + 1. assign V887434 = V876251 + 1. assign V842124 = V393699 - 1. assign V310039 = V036370 - 1. assign V206700 = V667935. assign V709029 = V171265 - 1. assign V721484 = V036370 - 1. assign V540246 = V905705 - 1. assign V834326 = V299145 - 1. assign V573299 = V902714 - 1. assign V558583 = V367510 - 1. assign V228081 = V328503. assign V699316 = V102223 - 1. assign V851412 = V874337 - 1. assign V386282 = V764867 + 1. assign V355266 = V393699. assign V621134 = V420645 - 1. assign V467587 = V393699 + 1. assign V154230 = V074649. assign V381035 = V355266. assign V754800 = V702928 + 1. assign V741151 = V157328 - 1. assign V800233 = V480490 - 1. assign V200136 = V374892. assign V813349 = V242721 - 1. assign V874337 = V852689 - 1. assign V612017 = V556235. assign V744476 = V228081 - 1. assign V214364 = V549742. assign V116951 = V709029. assign V327747 = V694139. assign V816630 = V355266 + 1. assign V207728 = V017297. assign V898762 = V148161 + 1. assign V648078 = V900631 - 1. assign V923099 = V355266 - 1. assign V572516 = V206700. assign V420645 = V919018. assign V333512 = V721484 - 1. assign V253682 = V864316. assign V263874 = V699316 - 1. assign V673103 = V088054 + 1. assign V466467 = V794522. assign V667935 = V380776. assign V334605 = V328503 - 1. assign V980790 = V262042 - 1. assign V423315 = V036370. assign V570381 = V664090. assign V523359 = V876251 + 1. assign V969172 = V466957 + 1. assign V156345 = V374892. assign V243903 = V800233. assign V038040 = V292851 + 1. assign V367510 = V287692. assign V244776 = V961600 + 1. assign V167662 = V033980 - 1. assign V508001 = V558583 - 1. assign V430060 = V074649 - 1. assign V373540 = V753168 - 1. assign V497048 = V038040 + 1. assign V097313 = V919018. assign V409302 = 6. assign V283390 = V497048.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV409302 = 6;\n\nFrom these direct assignment(s), we have: \nV461518 = V409302 - 1 = 6 - 1 =5;\nNo other variables can be derived from V461518;\nNo other variables can be derived from V409302;\n\nNow we have done all the calculations. Derived variables are:\nV409302 = 6;\nV461518 = 5;\n\nNow we have finished this problem. ANSWER:\nV461518\n", "role": "assistant" } ]

[ "V364782" ]

[ { "content": "<context>\nassign V663624 = V574011 + 1. assign V333203 = V147474 - 1. assign V543183 = V561948 + 1. assign V028872 = V543183. assign V897183 = V399130. assign V537514 = V392101 - 1. assign V202436 = V378452. assign V436663 = V561948 - 1. assign V396371 = V649325 - 1. assign V652452 = V192142 + 1. assign V565040 = V628135 - 1. assign V247344 = V287854 - 1. assign V353216 = V469534. assign V553219 = V467169 - 1. assign V755943 = V569189 - 1. assign V233895 = V392101. assign V703021 = V569189 - 1. assign V874774 = V643266 - 1. assign V234195 = V151791. assign V918800 = V526926 - 1. assign V649325 = V441163 - 1. assign V546554 = V262902 - 1. assign V185463 = V469534. assign V116908 = V652452. assign V893160 = V673821 - 1. assign V355408 = V987104 + 1. assign V382398 = V874774 + 1. assign V583786 = V109990. assign V673821 = V341840. assign V358701 = V467169 + 1. assign V459896 = V162660 + 1. assign V953962 = V607553. assign V364782 = V204389 - 1. assign V446015 = V247122 - 1. assign V961693 = V349565 - 1. assign V167943 = V425272. assign V147474 = V070039 - 1. assign V987104 = V330510 + 1. assign V348554 = V954611. assign V378452 = V441163 + 1. assign V711474 = V262902 + 1. assign V542374 = V247344 - 1. assign V066406 = V247122 - 1. assign V278740 = V537514 + 1. assign V197507 = V469534 - 1. assign V677883 = V896547. assign V954611 = V309008 - 1. assign V945131 = V287854. assign V501908 = V400473 - 1. assign V384817 = V511999 + 1. assign V644921 = V441163 + 1. assign V341840 = V514827 + 1. assign V349565 = V939627 - 1. assign V071317 = V561948 + 1. assign V939627 = V561948. assign V254381 = V649325 + 1. assign V516022 = V754057. assign V209417 = V378452 + 1. assign V109990 = V330510. assign V240466 = V425272. assign V783767 = V192142 + 1. assign V187319 = V979400 + 1. assign V122027 = V262902 - 1. assign V070039 = V349109 - 1. assign V628135 = V558263 + 1. assign V347788 = V765485. assign V109110 = V923542 + 1. assign V262902 = V469534 + 1. assign V247122 = V939627 - 1. assign V997405 = V278740 + 1. assign V526926 = V187319 + 1. assign V206758 = V979400. assign V511999 = V262902. assign V735488 = V167943. assign V465427 = V945131. assign V301880 = V465427 - 1. assign V233244 = V202436. assign V842491 = V534813 - 1. assign V564854 = V208971 - 1. assign V982421 = V286149. assign V286897 = V008845. assign V641485 = V616387. assign V130256 = V147477 + 1. assign V199262 = V247122. assign V201033 = V071317 + 1. assign V374581 = V264059 + 1. assign V514827 = V347788 + 1. assign V273296 = V262902 - 1. assign V607683 = V197507 - 1. assign V287854 = V202436. assign V400473 = V286149 - 1. assign V431252 = V469534 + 1. assign V736754 = V659757 - 1. assign V074303 = V330510 - 1. assign V983714 = V905143 + 1. assign V208971 = V264059. assign V893460 = V690871 + 1. assign V151791 = V392101 - 1. assign V905143 = V616387 + 1. assign V425272 = V384817. assign V426705 = V874774 + 1. assign V679454 = V441163 - 1. assign V308655 = V649325 - 1. assign V659757 = V679454 + 1. assign V192142 = V553219 + 1. assign V979400 = V262902 - 1. assign V147477 = V044925. assign V561948 = V441163. assign V293497 = V254381 - 1. assign V595982 = V467169 + 1. assign V338942 = V659757 - 1. assign V648448 = V459896. assign V921358 = V247344 - 1. assign V286149 = V711474 + 1. assign V763749 = V883106 + 1. assign V637906 = V583786 - 1. assign V330955 = V348554. assign V044925 = V711474 + 1. assign V827608 = V301880 - 1. assign V399130 = V187319 + 1. assign V167531 = V569189 + 1. assign V577704 = V341840. assign V243363 = V202436. assign V652954 = V711474. assign V228101 = V441163 + 1. assign V705344 = V192142. assign V447907 = V561948. assign V157904 = V983714. assign V754057 = V208971 - 1. assign V616387 = V286149 - 1. assign V309008 = V349109 - 1. assign V467169 = V561948. assign V204389 = 7. assign V569189 = V286149 - 1. assign V008845 = V070039 + 1. assign V887347 = V607553 + 1. assign V162660 = V561948 - 1. assign V955317 = V355408 + 1. assign V455934 = V644921. assign V392101 = V247344. assign V558982 = V765485 - 1. assign V829132 = V162660. assign V406292 = V978354. assign V349109 = V679454. assign V802082 = V392101. assign V313958 = V644921. assign V217625 = V953962 - 1. assign V330510 = V469534. assign V978354 = V264059 + 1. assign V846192 = V400473. assign V513627 = V663624. assign V765485 = V644921 + 1. assign V923542 = V979400 - 1. assign V346989 = V465427 - 1. assign V607553 = V441163 - 1. assign V527733 = V286897 + 1. assign V297776 = V607553 + 1. assign V883106 = V147474. assign V574011 = V349109 + 1. assign V264059 = V147474 + 1. assign V469534 = V659757 - 1. assign V643266 = V641485 - 1. assign V974608 = V649325 + 1. assign V588567 = V071317 - 1. assign V534813 = V923542 - 1. assign V558263 = V378452. assign V297194 = V254381. assign V290456 = V945131 - 1. assign V096368 = V425272 + 1. assign V690871 = V378452 - 1. assign V896547 = V588567 - 1. assign V727568 = V070039 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V663624 = V574011 + 1. assign V333203 = V147474 - 1. assign V543183 = V561948 + 1. assign V028872 = V543183. assign V897183 = V399130. assign V537514 = V392101 - 1. assign V202436 = V378452. assign V436663 = V561948 - 1. assign V396371 = V649325 - 1. assign V652452 = V192142 + 1. assign V565040 = V628135 - 1. assign V247344 = V287854 - 1. assign V353216 = V469534. assign V553219 = V467169 - 1. assign V755943 = V569189 - 1. assign V233895 = V392101. assign V703021 = V569189 - 1. assign V874774 = V643266 - 1. assign V234195 = V151791. assign V918800 = V526926 - 1. assign V649325 = V441163 - 1. assign V546554 = V262902 - 1. assign V185463 = V469534. assign V116908 = V652452. assign V893160 = V673821 - 1. assign V355408 = V987104 + 1. assign V382398 = V874774 + 1. assign V583786 = V109990. assign V673821 = V341840. assign V358701 = V467169 + 1. assign V459896 = V162660 + 1. assign V953962 = V607553. assign V364782 = V204389 - 1. assign V446015 = V247122 - 1. assign V961693 = V349565 - 1. assign V167943 = V425272. assign V147474 = V070039 - 1. assign V987104 = V330510 + 1. assign V348554 = V954611. assign V378452 = V441163 + 1. assign V711474 = V262902 + 1. assign V542374 = V247344 - 1. assign V066406 = V247122 - 1. assign V278740 = V537514 + 1. assign V197507 = V469534 - 1. assign V677883 = V896547. assign V954611 = V309008 - 1. assign V945131 = V287854. assign V501908 = V400473 - 1. assign V384817 = V511999 + 1. assign V644921 = V441163 + 1. assign V341840 = V514827 + 1. assign V349565 = V939627 - 1. assign V071317 = V561948 + 1. assign V939627 = V561948. assign V254381 = V649325 + 1. assign V516022 = V754057. assign V209417 = V378452 + 1. assign V109990 = V330510. assign V240466 = V425272. assign V783767 = V192142 + 1. assign V187319 = V979400 + 1. assign V122027 = V262902 - 1. assign V070039 = V349109 - 1. assign V628135 = V558263 + 1. assign V347788 = V765485. assign V109110 = V923542 + 1. assign V262902 = V469534 + 1. assign V247122 = V939627 - 1. assign V997405 = V278740 + 1. assign V526926 = V187319 + 1. assign V206758 = V979400. assign V511999 = V262902. assign V735488 = V167943. assign V465427 = V945131. assign V301880 = V465427 - 1. assign V233244 = V202436. assign V842491 = V534813 - 1. assign V564854 = V208971 - 1. assign V982421 = V286149. assign V286897 = V008845. assign V641485 = V616387. assign V130256 = V147477 + 1. assign V199262 = V247122. assign V201033 = V071317 + 1. assign V374581 = V264059 + 1. assign V514827 = V347788 + 1. assign V273296 = V262902 - 1. assign V607683 = V197507 - 1. assign V287854 = V202436. assign V400473 = V286149 - 1. assign V431252 = V469534 + 1. assign V736754 = V659757 - 1. assign V074303 = V330510 - 1. assign V983714 = V905143 + 1. assign V208971 = V264059. assign V893460 = V690871 + 1. assign V151791 = V392101 - 1. assign V905143 = V616387 + 1. assign V425272 = V384817. assign V426705 = V874774 + 1. assign V679454 = V441163 - 1. assign V308655 = V649325 - 1. assign V659757 = V679454 + 1. assign V192142 = V553219 + 1. assign V979400 = V262902 - 1. assign V147477 = V044925. assign V561948 = V441163. assign V293497 = V254381 - 1. assign V595982 = V467169 + 1. assign V338942 = V659757 - 1. assign V648448 = V459896. assign V921358 = V247344 - 1. assign V286149 = V711474 + 1. assign V763749 = V883106 + 1. assign V637906 = V583786 - 1. assign V330955 = V348554. assign V044925 = V711474 + 1. assign V827608 = V301880 - 1. assign V399130 = V187319 + 1. assign V167531 = V569189 + 1. assign V577704 = V341840. assign V243363 = V202436. assign V652954 = V711474. assign V228101 = V441163 + 1. assign V705344 = V192142. assign V447907 = V561948. assign V157904 = V983714. assign V754057 = V208971 - 1. assign V616387 = V286149 - 1. assign V309008 = V349109 - 1. assign V467169 = V561948. assign V204389 = 7. assign V569189 = V286149 - 1. assign V008845 = V070039 + 1. assign V887347 = V607553 + 1. assign V162660 = V561948 - 1. assign V955317 = V355408 + 1. assign V455934 = V644921. assign V392101 = V247344. assign V558982 = V765485 - 1. assign V829132 = V162660. assign V406292 = V978354. assign V349109 = V679454. assign V802082 = V392101. assign V313958 = V644921. assign V217625 = V953962 - 1. assign V330510 = V469534. assign V978354 = V264059 + 1. assign V846192 = V400473. assign V513627 = V663624. assign V765485 = V644921 + 1. assign V923542 = V979400 - 1. assign V346989 = V465427 - 1. assign V607553 = V441163 - 1. assign V527733 = V286897 + 1. assign V297776 = V607553 + 1. assign V883106 = V147474. assign V574011 = V349109 + 1. assign V264059 = V147474 + 1. assign V469534 = V659757 - 1. assign V643266 = V641485 - 1. assign V974608 = V649325 + 1. assign V588567 = V071317 - 1. assign V534813 = V923542 - 1. assign V558263 = V378452. assign V297194 = V254381. assign V290456 = V945131 - 1. assign V096368 = V425272 + 1. assign V690871 = V378452 - 1. assign V896547 = V588567 - 1. assign V727568 = V070039 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV204389 = 7;\n\nFrom these direct assignment(s), we have: \nV364782 = V204389 - 1 = 7 - 1 =6;\nNo other variables can be derived from V364782;\nNo other variables can be derived from V204389;\n\nNow we have done all the calculations. Derived variables are:\nV204389 = 7;\nV364782 = 6;\n\nNow we have finished this problem. ANSWER:\nV364782\n", "role": "assistant" } ]

[ "V564477" ]

[ { "content": "<context>\nassign V001199 = V635486. assign V660536 = V519061 + 1. assign V375806 = V463395 - 1. assign V803474 = V115422 - 1. assign V268966 = V930411 + 1. assign V355973 = V660536 - 1. assign V787366 = V357987 + 1. assign V434350 = V248278 + 1. assign V297876 = V956985 - 1. assign V329480 = V774131 + 1. assign V590736 = V989269. assign V512481 = V633481. assign V926454 = V416477. assign V100391 = V338072 + 1. assign V530548 = V557826 + 1. assign V388827 = V536677. assign V472330 = V730505 - 1. assign V359478 = V115422 + 1. assign V463395 = V989269. assign V525815 = V089446 + 1. assign V421825 = V434350. assign V024168 = V089446. assign V678719 = V939689 - 1. assign V370019 = V317551 + 1. assign V772022 = V412065 + 1. assign V947890 = V359478 - 1. assign V897142 = V234002. assign V165212 = V738549 - 1. assign V918061 = V375806 + 1. assign V692017 = V234661 - 1. assign V896722 = V536500 + 1. assign V531121 = V271389. assign V197126 = V677917. assign V065022 = V338072. assign V779497 = V089446 - 1. assign V056482 = V885359 - 1. assign V962126 = V523074. assign V351735 = V536677 + 1. assign V115422 = V477146. assign V909258 = V926454. assign V633481 = V463395. assign V048580 = V989269 + 1. assign V608383 = V564477 + 1. assign V676532 = V102261 - 1. assign V557826 = V338072. assign V676813 = V409104 - 1. assign V623450 = V150588 - 1. assign V071227 = V479605 + 1. assign V062975 = V989269 + 1. assign V626086 = V535375. assign V632902 = V956985 - 1. assign V234704 = V557826 - 1. assign V592217 = V729041. assign V317551 = V531121. assign V579875 = V811897. assign V150588 = V100391 - 1. assign V648949 = V018610. assign V870559 = V591087. assign V568169 = V113958 - 1. assign V548650 = V623450. assign V939689 = V676532. assign V408896 = V956985 - 1. assign V877831 = V627207. assign V956985 = V930411. assign V492980 = V535375 + 1. assign V486061 = V660536 + 1. assign V730505 = V419284. assign V014957 = V279892 - 1. assign V844637 = V870559 + 1. assign V290160 = V558864 - 1. assign V113958 = V930411. assign V797114 = V536677. assign V861348 = V783195. assign V477146 = V930411 - 1. assign V977553 = V416477 + 1. assign V865499 = V558864 - 1. assign V283903 = V939689 - 1. assign V536500 = V150588 - 1. assign V536677 = V102261. assign V112125 = V623450 - 1. assign V564477 = 4. assign V453379 = V001199 + 1. assign V250354 = V179664 - 1. assign V245523 = V648949. assign V018610 = V100391 + 1. assign V484740 = V048580. assign V279892 = V851786 - 1. assign V708655 = V919086 - 1. assign V523074 = V591087 - 1. assign V347780 = V234002 - 1. assign V850957 = V167892 - 1. assign V479605 = V234002 + 1. assign V506203 = V557826 - 1. assign V054860 = V279892 - 1. assign V946042 = V458861 + 1. assign V851080 = V477146. assign V394753 = V797114 - 1. assign V635486 = V486061 + 1. assign V445150 = V248278 + 1. assign V416477 = V115422 + 1. assign V695995 = V488513 + 1. assign V229662 = V408896. assign V461452 = V355973. assign V958543 = V115422 + 1. assign V738549 = V536500 + 1. assign V685815 = V939689 + 1. assign V234661 = V100391. assign V223697 = V557826 + 1. assign V409104 = V269149 - 1. assign V248278 = V523074 + 1. assign V488513 = V317551. assign V885359 = V803474 + 1. assign V179664 = V811897 + 1. assign V412065 = V477146 - 1. assign V851786 = V338072. assign V234002 = V268966 - 1. assign V526981 = V229065 + 1. assign V271389 = V100391. assign V167892 = V271389 - 1. assign V757291 = V351735. assign V085048 = V897142. assign V858997 = V375806 - 1. assign V811897 = V113958 - 1. assign V102261 = V100391. assign V909769 = V851786. assign V355573 = V899772 + 1. assign V627207 = V269149 - 1. assign V774131 = V100391 - 1. assign V563825 = V477146. assign V616114 = V962126 + 1. assign V615205 = V073968 + 1. assign V412680 = V279892. assign V654840 = V633481 - 1. assign V670914 = V486061 + 1. assign V401566 = V001199 - 1. assign V229065 = V412065 - 1. assign V269149 = V930411 + 1. assign V783195 = V651992 + 1. assign V738489 = V919086 - 1. assign V357987 = V062975 - 1. assign V677917 = V558864 - 1. assign V589934 = V150588 - 1. assign V934383 = V338072. assign V089446 = V100391 - 1. assign V244158 = V851786. assign V276306 = V851080. assign V491473 = V355973. assign V680019 = V682197. assign V682197 = V297876 - 1. assign V419284 = V338072 - 1. assign V061539 = V570590 - 1. assign V678827 = V062975. assign V558864 = V269149 + 1. assign V509407 = V811897 + 1. assign V989269 = V930411 - 1. assign V154026 = V100391. assign V729041 = V223697 + 1. assign V570590 = V635486 + 1. assign V899772 = V591087 + 1. assign V519061 = V062975. assign V654876 = V268966 - 1. assign V154157 = V115422. assign V651992 = V179664. assign V458861 = V934383. assign V810507 = V269149. assign V073968 = V568169. assign V079303 = V850957. assign V591087 = V772022 - 1. assign V813490 = V632902 - 1. assign V535375 = V458861 - 1. assign V919086 = V154026 - 1. assign V338072 = V930411.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V001199 = V635486. assign V660536 = V519061 + 1. assign V375806 = V463395 - 1. assign V803474 = V115422 - 1. assign V268966 = V930411 + 1. assign V355973 = V660536 - 1. assign V787366 = V357987 + 1. assign V434350 = V248278 + 1. assign V297876 = V956985 - 1. assign V329480 = V774131 + 1. assign V590736 = V989269. assign V512481 = V633481. assign V926454 = V416477. assign V100391 = V338072 + 1. assign V530548 = V557826 + 1. assign V388827 = V536677. assign V472330 = V730505 - 1. assign V359478 = V115422 + 1. assign V463395 = V989269. assign V525815 = V089446 + 1. assign V421825 = V434350. assign V024168 = V089446. assign V678719 = V939689 - 1. assign V370019 = V317551 + 1. assign V772022 = V412065 + 1. assign V947890 = V359478 - 1. assign V897142 = V234002. assign V165212 = V738549 - 1. assign V918061 = V375806 + 1. assign V692017 = V234661 - 1. assign V896722 = V536500 + 1. assign V531121 = V271389. assign V197126 = V677917. assign V065022 = V338072. assign V779497 = V089446 - 1. assign V056482 = V885359 - 1. assign V962126 = V523074. assign V351735 = V536677 + 1. assign V115422 = V477146. assign V909258 = V926454. assign V633481 = V463395. assign V048580 = V989269 + 1. assign V608383 = V564477 + 1. assign V676532 = V102261 - 1. assign V557826 = V338072. assign V676813 = V409104 - 1. assign V623450 = V150588 - 1. assign V071227 = V479605 + 1. assign V062975 = V989269 + 1. assign V626086 = V535375. assign V632902 = V956985 - 1. assign V234704 = V557826 - 1. assign V592217 = V729041. assign V317551 = V531121. assign V579875 = V811897. assign V150588 = V100391 - 1. assign V648949 = V018610. assign V870559 = V591087. assign V568169 = V113958 - 1. assign V548650 = V623450. assign V939689 = V676532. assign V408896 = V956985 - 1. assign V877831 = V627207. assign V956985 = V930411. assign V492980 = V535375 + 1. assign V486061 = V660536 + 1. assign V730505 = V419284. assign V014957 = V279892 - 1. assign V844637 = V870559 + 1. assign V290160 = V558864 - 1. assign V113958 = V930411. assign V797114 = V536677. assign V861348 = V783195. assign V477146 = V930411 - 1. assign V977553 = V416477 + 1. assign V865499 = V558864 - 1. assign V283903 = V939689 - 1. assign V536500 = V150588 - 1. assign V536677 = V102261. assign V112125 = V623450 - 1. assign V564477 = 4. assign V453379 = V001199 + 1. assign V250354 = V179664 - 1. assign V245523 = V648949. assign V018610 = V100391 + 1. assign V484740 = V048580. assign V279892 = V851786 - 1. assign V708655 = V919086 - 1. assign V523074 = V591087 - 1. assign V347780 = V234002 - 1. assign V850957 = V167892 - 1. assign V479605 = V234002 + 1. assign V506203 = V557826 - 1. assign V054860 = V279892 - 1. assign V946042 = V458861 + 1. assign V851080 = V477146. assign V394753 = V797114 - 1. assign V635486 = V486061 + 1. assign V445150 = V248278 + 1. assign V416477 = V115422 + 1. assign V695995 = V488513 + 1. assign V229662 = V408896. assign V461452 = V355973. assign V958543 = V115422 + 1. assign V738549 = V536500 + 1. assign V685815 = V939689 + 1. assign V234661 = V100391. assign V223697 = V557826 + 1. assign V409104 = V269149 - 1. assign V248278 = V523074 + 1. assign V488513 = V317551. assign V885359 = V803474 + 1. assign V179664 = V811897 + 1. assign V412065 = V477146 - 1. assign V851786 = V338072. assign V234002 = V268966 - 1. assign V526981 = V229065 + 1. assign V271389 = V100391. assign V167892 = V271389 - 1. assign V757291 = V351735. assign V085048 = V897142. assign V858997 = V375806 - 1. assign V811897 = V113958 - 1. assign V102261 = V100391. assign V909769 = V851786. assign V355573 = V899772 + 1. assign V627207 = V269149 - 1. assign V774131 = V100391 - 1. assign V563825 = V477146. assign V616114 = V962126 + 1. assign V615205 = V073968 + 1. assign V412680 = V279892. assign V654840 = V633481 - 1. assign V670914 = V486061 + 1. assign V401566 = V001199 - 1. assign V229065 = V412065 - 1. assign V269149 = V930411 + 1. assign V783195 = V651992 + 1. assign V738489 = V919086 - 1. assign V357987 = V062975 - 1. assign V677917 = V558864 - 1. assign V589934 = V150588 - 1. assign V934383 = V338072. assign V089446 = V100391 - 1. assign V244158 = V851786. assign V276306 = V851080. assign V491473 = V355973. assign V680019 = V682197. assign V682197 = V297876 - 1. assign V419284 = V338072 - 1. assign V061539 = V570590 - 1. assign V678827 = V062975. assign V558864 = V269149 + 1. assign V509407 = V811897 + 1. assign V989269 = V930411 - 1. assign V154026 = V100391. assign V729041 = V223697 + 1. assign V570590 = V635486 + 1. assign V899772 = V591087 + 1. assign V519061 = V062975. assign V654876 = V268966 - 1. assign V154157 = V115422. assign V651992 = V179664. assign V458861 = V934383. assign V810507 = V269149. assign V073968 = V568169. assign V079303 = V850957. assign V591087 = V772022 - 1. assign V813490 = V632902 - 1. assign V535375 = V458861 - 1. assign V919086 = V154026 - 1. assign V338072 = V930411.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV564477 = 4;\n\nFrom these direct assignment(s), we have: \nV608383 = V564477 + 1 = 4 + 1 =5;\nNo other variables can be derived from V608383;\nNo other variables can be derived from V564477;\n\nNow we have done all the calculations. Derived variables are:\nV564477 = 4;\nV608383 = 5;\n\nNow we have finished this problem. ANSWER:\nV564477\n", "role": "assistant" } ]

[ "V330556", "V226581" ]

[ { "content": "<context>\nassign V051211 = V260319 + 1. assign V327238 = V773376. assign V848001 = V719904 + 1. assign V713977 = V227845. assign V912229 = V431952 - 1. assign V922848 = V161503 - 1. assign V821580 = V060583 + 1. assign V388746 = V476749. assign V798406 = V538648 - 1. assign V060891 = V138629. assign V905202 = V848001 + 1. assign V349169 = V260319 - 1. assign V260319 = V361798 - 1. assign V382572 = V829506 + 1. assign V578115 = V088427 + 1. assign V300694 = V552470 + 1. assign V161503 = V660972 + 1. assign V081848 = V256626 - 1. assign V228500 = V960545 - 1. assign V660972 = V981033 - 1. assign V342196 = V007139 + 1. assign V161797 = V470162. assign V306000 = V363489 - 1. assign V165132 = V327238 - 1. assign V444868 = V033157 + 1. assign V718729 = V538648 + 1. assign V804233 = V285655 + 1. assign V799587 = V809070 - 1. assign V538648 = V138629 - 1. assign V104703 = V388746 - 1. assign V864822 = V906925. assign V991252 = V491239 + 1. assign V380317 = V290618. assign V800813 = V889163 + 1. assign V234929 = V674649 + 1. assign V002720 = V524926. assign V703589 = V624616 - 1. assign V071882 = V473135 + 1. assign V330556 = 9. assign V939277 = V342196 - 1. assign V468721 = V524926. assign V761271 = V688779. assign V104437 = V688779. assign V043442 = V092303 + 1. assign V060583 = V363489. assign V624616 = V548137 - 1. assign V860243 = V980300. assign V107902 = V065962. assign V369313 = V718347. assign V101201 = V800813 + 1. assign V470162 = V552470. assign V285655 = V688779. assign V090555 = V981033 + 1. assign V698604 = V043442. assign V412705 = V476749 + 1. assign V687330 = V091674. assign V553735 = V698604 - 1. assign V960545 = V349169 + 1. assign V058539 = V638125. assign V185920 = V412705. assign V692626 = V552470 - 1. assign V957881 = V033157. assign V259400 = V698604. assign V201228 = V718347. assign V246575 = V905202 + 1. assign V073618 = V860243 - 1. assign V473135 = V033157 - 1. assign V063238 = V285655 + 1. assign V361798 = V363489. assign V416886 = V285655 - 1. assign V697610 = V552470 - 1. assign V485575 = V718347 - 1. assign V889163 = V719904. assign V421651 = V060891 - 1. assign V088427 = V491239 + 1. assign V983447 = V285655. assign V752830 = V088427 - 1. assign V688779 = V829506. assign V674649 = V081848 + 1. assign V226581 = V330556. assign V091674 = V043442 + 1. assign V881224 = V888315. assign V721183 = V361798. assign V888315 = V290618 + 1. assign V545126 = V476749 + 1. assign V033157 = V889163. assign V763853 = V674649 - 1. assign V500215 = V149238 - 1. assign V680146 = V889163 - 1. assign V209061 = V906925. assign V513821 = V552470 - 1. assign V104742 = V217656 + 1. assign V344508 = V043442 + 1. assign V638125 = V657796. assign V476749 = V829506 + 1. assign V825370 = V212933 - 1. assign V719904 = V091674. assign V151523 = V752830 + 1. assign V916362 = V002720 + 1. assign V597959 = V809070 + 1. assign V651422 = V388746 - 1. assign V037715 = V983447 - 1. assign V057540 = V363489 + 1. assign V050659 = V688779. assign V579205 = V548137 - 1. assign V974795 = V800813 + 1. assign V316801 = V344508 - 1. assign V980300 = V412705 - 1. assign V406577 = V138629 - 1. assign V092565 = V081848. assign V974966 = V687330. assign V131505 = V363489 - 1. assign V212423 = V548137. assign V051303 = V092303 - 1. assign V520818 = V548137 + 1. assign V718347 = V931885 + 1. assign V868873 = V860243. assign V431952 = V800813 - 1. assign V970332 = V380317 - 1. assign V033021 = V881224 + 1. assign V607772 = V382572. assign V651969 = V290618 + 1. assign V491239 = V412705 + 1. assign V092303 = V688779. assign V648858 = V045716 + 1. assign V524926 = V552470 - 1. assign V931885 = V051303 + 1. assign V809070 = V476749. assign V811748 = V051303. assign V657796 = V361798 - 1. assign V817921 = V981033 - 1. assign V138629 = V091674 - 1. assign V889916 = V081848 + 1. assign V217656 = V692626 + 1. assign V065962 = V491239 + 1. assign V367630 = V974966 + 1. assign V290618 = V524926 - 1. assign V565014 = V476749. assign V488303 = V889916 + 1. assign V583255 = V864822 + 1. assign V862416 = V799587 + 1. assign V548137 = V491239. assign V217910 = V060583 - 1. assign V256626 = V809070 + 1. assign V582388 = V513821 - 1. assign V611315 = V316801 - 1. assign V374651 = V829506. assign V363489 = V412705 - 1. assign V838932 = V674649. assign V582884 = V081848. assign V639971 = V367630 + 1. assign V552470 = V088427. assign V906925 = V905202 - 1. assign V007139 = V773376. assign V447071 = V752830 + 1. assign V194840 = V388746 - 1. assign V830009 = V552470. assign V674020 = V513821. assign V348662 = V981033. assign V212933 = V889916. assign V227845 = V991252. assign V768785 = V491239 + 1. assign V143479 = V060583 - 1. assign V045716 = V081848 + 1. assign V623399 = V916362 + 1. assign V149238 = V752830 + 1. assign V762068 = V520818 - 1. assign V981033 = V688779 + 1. assign V773376 = V809070 - 1. assign V868260 = V821580 - 1. assign V293820 = V421651 - 1. assign V453868 = V545126 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V051211 = V260319 + 1. assign V327238 = V773376. assign V848001 = V719904 + 1. assign V713977 = V227845. assign V912229 = V431952 - 1. assign V922848 = V161503 - 1. assign V821580 = V060583 + 1. assign V388746 = V476749. assign V798406 = V538648 - 1. assign V060891 = V138629. assign V905202 = V848001 + 1. assign V349169 = V260319 - 1. assign V260319 = V361798 - 1. assign V382572 = V829506 + 1. assign V578115 = V088427 + 1. assign V300694 = V552470 + 1. assign V161503 = V660972 + 1. assign V081848 = V256626 - 1. assign V228500 = V960545 - 1. assign V660972 = V981033 - 1. assign V342196 = V007139 + 1. assign V161797 = V470162. assign V306000 = V363489 - 1. assign V165132 = V327238 - 1. assign V444868 = V033157 + 1. assign V718729 = V538648 + 1. assign V804233 = V285655 + 1. assign V799587 = V809070 - 1. assign V538648 = V138629 - 1. assign V104703 = V388746 - 1. assign V864822 = V906925. assign V991252 = V491239 + 1. assign V380317 = V290618. assign V800813 = V889163 + 1. assign V234929 = V674649 + 1. assign V002720 = V524926. assign V703589 = V624616 - 1. assign V071882 = V473135 + 1. assign V330556 = 9. assign V939277 = V342196 - 1. assign V468721 = V524926. assign V761271 = V688779. assign V104437 = V688779. assign V043442 = V092303 + 1. assign V060583 = V363489. assign V624616 = V548137 - 1. assign V860243 = V980300. assign V107902 = V065962. assign V369313 = V718347. assign V101201 = V800813 + 1. assign V470162 = V552470. assign V285655 = V688779. assign V090555 = V981033 + 1. assign V698604 = V043442. assign V412705 = V476749 + 1. assign V687330 = V091674. assign V553735 = V698604 - 1. assign V960545 = V349169 + 1. assign V058539 = V638125. assign V185920 = V412705. assign V692626 = V552470 - 1. assign V957881 = V033157. assign V259400 = V698604. assign V201228 = V718347. assign V246575 = V905202 + 1. assign V073618 = V860243 - 1. assign V473135 = V033157 - 1. assign V063238 = V285655 + 1. assign V361798 = V363489. assign V416886 = V285655 - 1. assign V697610 = V552470 - 1. assign V485575 = V718347 - 1. assign V889163 = V719904. assign V421651 = V060891 - 1. assign V088427 = V491239 + 1. assign V983447 = V285655. assign V752830 = V088427 - 1. assign V688779 = V829506. assign V674649 = V081848 + 1. assign V226581 = V330556. assign V091674 = V043442 + 1. assign V881224 = V888315. assign V721183 = V361798. assign V888315 = V290618 + 1. assign V545126 = V476749 + 1. assign V033157 = V889163. assign V763853 = V674649 - 1. assign V500215 = V149238 - 1. assign V680146 = V889163 - 1. assign V209061 = V906925. assign V513821 = V552470 - 1. assign V104742 = V217656 + 1. assign V344508 = V043442 + 1. assign V638125 = V657796. assign V476749 = V829506 + 1. assign V825370 = V212933 - 1. assign V719904 = V091674. assign V151523 = V752830 + 1. assign V916362 = V002720 + 1. assign V597959 = V809070 + 1. assign V651422 = V388746 - 1. assign V037715 = V983447 - 1. assign V057540 = V363489 + 1. assign V050659 = V688779. assign V579205 = V548137 - 1. assign V974795 = V800813 + 1. assign V316801 = V344508 - 1. assign V980300 = V412705 - 1. assign V406577 = V138629 - 1. assign V092565 = V081848. assign V974966 = V687330. assign V131505 = V363489 - 1. assign V212423 = V548137. assign V051303 = V092303 - 1. assign V520818 = V548137 + 1. assign V718347 = V931885 + 1. assign V868873 = V860243. assign V431952 = V800813 - 1. assign V970332 = V380317 - 1. assign V033021 = V881224 + 1. assign V607772 = V382572. assign V651969 = V290618 + 1. assign V491239 = V412705 + 1. assign V092303 = V688779. assign V648858 = V045716 + 1. assign V524926 = V552470 - 1. assign V931885 = V051303 + 1. assign V809070 = V476749. assign V811748 = V051303. assign V657796 = V361798 - 1. assign V817921 = V981033 - 1. assign V138629 = V091674 - 1. assign V889916 = V081848 + 1. assign V217656 = V692626 + 1. assign V065962 = V491239 + 1. assign V367630 = V974966 + 1. assign V290618 = V524926 - 1. assign V565014 = V476749. assign V488303 = V889916 + 1. assign V583255 = V864822 + 1. assign V862416 = V799587 + 1. assign V548137 = V491239. assign V217910 = V060583 - 1. assign V256626 = V809070 + 1. assign V582388 = V513821 - 1. assign V611315 = V316801 - 1. assign V374651 = V829506. assign V363489 = V412705 - 1. assign V838932 = V674649. assign V582884 = V081848. assign V639971 = V367630 + 1. assign V552470 = V088427. assign V906925 = V905202 - 1. assign V007139 = V773376. assign V447071 = V752830 + 1. assign V194840 = V388746 - 1. assign V830009 = V552470. assign V674020 = V513821. assign V348662 = V981033. assign V212933 = V889916. assign V227845 = V991252. assign V768785 = V491239 + 1. assign V143479 = V060583 - 1. assign V045716 = V081848 + 1. assign V623399 = V916362 + 1. assign V149238 = V752830 + 1. assign V762068 = V520818 - 1. assign V981033 = V688779 + 1. assign V773376 = V809070 - 1. assign V868260 = V821580 - 1. assign V293820 = V421651 - 1. assign V453868 = V545126 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV330556 = 9;\n\nFrom these direct assignment(s), we have: \nV226581 = V330556 = 9;\nNo other variables can be derived from V226581;\nNo other variables can be derived from V330556;\n\nNow we have done all the calculations. Derived variables are:\nV330556 = 9;\nV226581 = 9;\n\nNow we have finished this problem. ANSWER:\nV330556, V226581\n", "role": "assistant" } ]

[ "V535448" ]

[ { "content": "<context>\nassign V552926 = V201511. assign V709155 = V280194 + 1. assign V522211 = V851366. assign V944200 = V021871. assign V026557 = V548080 + 1. assign V760600 = V450083 + 1. assign V480484 = V338323 - 1. assign V741854 = V665033 - 1. assign V345972 = V262764 + 1. assign V737276 = V575475 + 1. assign V653582 = V552926 - 1. assign V430689 = V697237. assign V026037 = V392291 - 1. assign V494617 = V718001. assign V708166 = V844849 + 1. assign V668625 = V903929 - 1. assign V110247 = V737276 - 1. assign V604056 = V947774 + 1. assign V410901 = V903929. assign V730709 = V665033 + 1. assign V690599 = V475851 + 1. assign V363432 = V664184. assign V884746 = V762453. assign V300298 = V262764 + 1. assign V947774 = V674081. assign V970806 = V018299 - 1. assign V762453 = V502567 - 1. assign V280194 = V552926. assign V830584 = V570666 - 1. assign V813455 = V967855. assign V120425 = V371934 - 1. assign V548080 = V864220. assign V628590 = V776220. assign V042953 = V451729 + 1. assign V502567 = V760600. assign V917699 = V591457 + 1. assign V338323 = V851366. assign V236288 = V665033 - 1. assign V422402 = V040810 + 1. assign V065615 = V552926 - 1. assign V732410 = V668625 - 1. assign V591457 = V770632 - 1. assign V203018 = V851366 + 1. assign V770632 = V674081 - 1. assign V697237 = V018299 + 1. assign V603488 = V888363 + 1. assign V851366 = V665033 + 1. assign V094791 = V198825. assign V020946 = V947774. assign V303619 = V056624 - 1. assign V762620 = V700878 - 1. assign V830180 = V467688 + 1. assign V750347 = V903929 - 1. assign V888363 = V021871 - 1. assign V262764 = V267453 - 1. assign V270440 = V868865 - 1. assign V369481 = V465891. assign V952793 = V908433 - 1. assign V840220 = V741854 - 1. assign V665033 = V903929 - 1. assign V835761 = V480052 + 1. assign V947322 = V629291. assign V952858 = V382802 + 1. assign V392291 = V467688. assign V213727 = V032751 + 1. assign V320415 = V622225. assign V289440 = V231475. assign V139007 = V760600. assign V967855 = V412099 - 1. assign V570666 = V338323 + 1. assign V120847 = V674081. assign V141880 = V535448 + 1. assign V046524 = V450083 - 1. assign V736259 = V868865 - 1. assign V240354 = V552926. assign V032751 = V665033 + 1. assign V940387 = V766265. assign V864220 = V439348 + 1. assign V868865 = V032751. assign V266235 = V711413. assign V664184 = V908433 - 1. assign V184981 = V300298 - 1. assign V394230 = V550507 - 1. assign V180383 = V737276 + 1. assign V829319 = V697237. assign V378254 = V131994 + 1. assign V622225 = V300298. assign V783794 = V231475. assign V439348 = V750347 + 1. assign V297693 = V550507 - 1. assign V629291 = V523540. assign V788667 = V986591 + 1. assign V131994 = V700878. assign V622733 = V213727. assign V908433 = V231475. assign V200777 = V864220 + 1. assign V674081 = V903929. assign V467688 = V750347 + 1. assign V757988 = V262764 + 1. assign V787462 = V947322. assign V594147 = V787462 - 1. assign V921534 = V262764. assign V665076 = V213727. assign V515207 = V502567 + 1. assign V040810 = V875036 + 1. assign V371934 = V231475. assign V484632 = V018299 - 1. assign V700878 = V903929 + 1. assign V264080 = V903929 + 1. assign V986591 = V267453. assign V563589 = V910532 + 1. assign V016594 = V412099 + 1. assign V450083 = V267453. assign V640667 = V622225 - 1. assign V599215 = V986591 - 1. assign V288545 = V231475 + 1. assign V979194 = V622733 - 1. assign V535448 = 3. assign V837534 = V533574. assign V875036 = V760600 + 1. assign V844849 = V151619 - 1. assign V711413 = V903929. assign V942897 = V762453 - 1. assign V201188 = V502567 + 1. assign V872489 = V021871 - 1. assign V079996 = V908433 - 1. assign V984375 = V594147. assign V451729 = V274648. assign V620450 = V480052 + 1. assign V776220 = V903929 - 1. assign V465891 = V783794. assign V329980 = V770632. assign V910532 = V131994 + 1. assign V589269 = V674081. assign V463007 = V338323 + 1. assign V985238 = V840220 + 1. assign V412099 = V700878. assign V394671 = V829319 + 1. assign V056624 = V412099 + 1. assign V718001 = V776220 + 1. assign V671812 = V550507 + 1. assign V151619 = V267453 - 1. assign V370874 = V851366. assign V310171 = V123899 + 1. assign V590381 = V620450. assign V185550 = V131994 + 1. assign V123899 = V495596 + 1. assign V523540 = V575475 - 1. assign V392757 = V570666. assign V433723 = V884746. assign V274648 = V910532 + 1. assign V454665 = V392291. assign V480052 = V947774. assign V575475 = V741854 + 1. assign V198825 = V708166 + 1. assign V533574 = V674081 - 1. assign V404206 = V700878 - 1. assign V231475 = V700878. assign V495596 = V288545 - 1. assign V267453 = V439348 + 1. assign V475851 = V664184 - 1. assign V018299 = V674081 + 1. assign V039506 = V040810 + 1. assign V550507 = V903929. assign V928092 = V770632 + 1. assign V409059 = V674081. assign V201511 = V231475 - 1. assign V276764 = V382802 - 1. assign V766265 = V123899 - 1. assign V382802 = V868865. assign V379651 = V952858 - 1. assign V021871 = V267453 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V552926 = V201511. assign V709155 = V280194 + 1. assign V522211 = V851366. assign V944200 = V021871. assign V026557 = V548080 + 1. assign V760600 = V450083 + 1. assign V480484 = V338323 - 1. assign V741854 = V665033 - 1. assign V345972 = V262764 + 1. assign V737276 = V575475 + 1. assign V653582 = V552926 - 1. assign V430689 = V697237. assign V026037 = V392291 - 1. assign V494617 = V718001. assign V708166 = V844849 + 1. assign V668625 = V903929 - 1. assign V110247 = V737276 - 1. assign V604056 = V947774 + 1. assign V410901 = V903929. assign V730709 = V665033 + 1. assign V690599 = V475851 + 1. assign V363432 = V664184. assign V884746 = V762453. assign V300298 = V262764 + 1. assign V947774 = V674081. assign V970806 = V018299 - 1. assign V762453 = V502567 - 1. assign V280194 = V552926. assign V830584 = V570666 - 1. assign V813455 = V967855. assign V120425 = V371934 - 1. assign V548080 = V864220. assign V628590 = V776220. assign V042953 = V451729 + 1. assign V502567 = V760600. assign V917699 = V591457 + 1. assign V338323 = V851366. assign V236288 = V665033 - 1. assign V422402 = V040810 + 1. assign V065615 = V552926 - 1. assign V732410 = V668625 - 1. assign V591457 = V770632 - 1. assign V203018 = V851366 + 1. assign V770632 = V674081 - 1. assign V697237 = V018299 + 1. assign V603488 = V888363 + 1. assign V851366 = V665033 + 1. assign V094791 = V198825. assign V020946 = V947774. assign V303619 = V056624 - 1. assign V762620 = V700878 - 1. assign V830180 = V467688 + 1. assign V750347 = V903929 - 1. assign V888363 = V021871 - 1. assign V262764 = V267453 - 1. assign V270440 = V868865 - 1. assign V369481 = V465891. assign V952793 = V908433 - 1. assign V840220 = V741854 - 1. assign V665033 = V903929 - 1. assign V835761 = V480052 + 1. assign V947322 = V629291. assign V952858 = V382802 + 1. assign V392291 = V467688. assign V213727 = V032751 + 1. assign V320415 = V622225. assign V289440 = V231475. assign V139007 = V760600. assign V967855 = V412099 - 1. assign V570666 = V338323 + 1. assign V120847 = V674081. assign V141880 = V535448 + 1. assign V046524 = V450083 - 1. assign V736259 = V868865 - 1. assign V240354 = V552926. assign V032751 = V665033 + 1. assign V940387 = V766265. assign V864220 = V439348 + 1. assign V868865 = V032751. assign V266235 = V711413. assign V664184 = V908433 - 1. assign V184981 = V300298 - 1. assign V394230 = V550507 - 1. assign V180383 = V737276 + 1. assign V829319 = V697237. assign V378254 = V131994 + 1. assign V622225 = V300298. assign V783794 = V231475. assign V439348 = V750347 + 1. assign V297693 = V550507 - 1. assign V629291 = V523540. assign V788667 = V986591 + 1. assign V131994 = V700878. assign V622733 = V213727. assign V908433 = V231475. assign V200777 = V864220 + 1. assign V674081 = V903929. assign V467688 = V750347 + 1. assign V757988 = V262764 + 1. assign V787462 = V947322. assign V594147 = V787462 - 1. assign V921534 = V262764. assign V665076 = V213727. assign V515207 = V502567 + 1. assign V040810 = V875036 + 1. assign V371934 = V231475. assign V484632 = V018299 - 1. assign V700878 = V903929 + 1. assign V264080 = V903929 + 1. assign V986591 = V267453. assign V563589 = V910532 + 1. assign V016594 = V412099 + 1. assign V450083 = V267453. assign V640667 = V622225 - 1. assign V599215 = V986591 - 1. assign V288545 = V231475 + 1. assign V979194 = V622733 - 1. assign V535448 = 3. assign V837534 = V533574. assign V875036 = V760600 + 1. assign V844849 = V151619 - 1. assign V711413 = V903929. assign V942897 = V762453 - 1. assign V201188 = V502567 + 1. assign V872489 = V021871 - 1. assign V079996 = V908433 - 1. assign V984375 = V594147. assign V451729 = V274648. assign V620450 = V480052 + 1. assign V776220 = V903929 - 1. assign V465891 = V783794. assign V329980 = V770632. assign V910532 = V131994 + 1. assign V589269 = V674081. assign V463007 = V338323 + 1. assign V985238 = V840220 + 1. assign V412099 = V700878. assign V394671 = V829319 + 1. assign V056624 = V412099 + 1. assign V718001 = V776220 + 1. assign V671812 = V550507 + 1. assign V151619 = V267453 - 1. assign V370874 = V851366. assign V310171 = V123899 + 1. assign V590381 = V620450. assign V185550 = V131994 + 1. assign V123899 = V495596 + 1. assign V523540 = V575475 - 1. assign V392757 = V570666. assign V433723 = V884746. assign V274648 = V910532 + 1. assign V454665 = V392291. assign V480052 = V947774. assign V575475 = V741854 + 1. assign V198825 = V708166 + 1. assign V533574 = V674081 - 1. assign V404206 = V700878 - 1. assign V231475 = V700878. assign V495596 = V288545 - 1. assign V267453 = V439348 + 1. assign V475851 = V664184 - 1. assign V018299 = V674081 + 1. assign V039506 = V040810 + 1. assign V550507 = V903929. assign V928092 = V770632 + 1. assign V409059 = V674081. assign V201511 = V231475 - 1. assign V276764 = V382802 - 1. assign V766265 = V123899 - 1. assign V382802 = V868865. assign V379651 = V952858 - 1. assign V021871 = V267453 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV535448 = 3;\n\nFrom these direct assignment(s), we have: \nV141880 = V535448 + 1 = 3 + 1 =4;\nNo other variables can be derived from V141880;\nNo other variables can be derived from V535448;\n\nNow we have done all the calculations. Derived variables are:\nV535448 = 3;\nV141880 = 4;\n\nNow we have finished this problem. ANSWER:\nV535448\n", "role": "assistant" } ]

[ "V068554" ]

[ { "content": "<context>\nassign V843420 = V810196. assign V940696 = V240562 + 1. assign V047567 = V550018 + 1. assign V891254 = V568884. assign V246198 = V843420. assign V004417 = V891254 - 1. assign V495076 = V550018. assign V341270 = V550018 - 1. assign V920893 = V341270 + 1. assign V714495 = V110395. assign V372387 = V810196 - 1. assign V774028 = V758990. assign V553844 = V782988 - 1. assign V990876 = V139507. assign V505900 = V139507 + 1. assign V131684 = V341270 - 1. assign V373395 = V990876 + 1. assign V594426 = V415088. assign V312758 = V513703 - 1. assign V136928 = V594426. assign V419817 = V595493 + 1. assign V580138 = V070992 - 1. assign V082749 = V716404 + 1. assign V475673 = V139507 + 1. assign V575261 = V878855. assign V975513 = V758990. assign V856068 = V758990. assign V909692 = V513703 + 1. assign V705863 = V767144. assign V071608 = V878855 - 1. assign V152583 = V882701 + 1. assign V279873 = V611966 + 1. assign V629912 = V191729. assign V065329 = V504394 + 1. assign V352435 = V878140. assign V957833 = V920893 - 1. assign V137770 = V878855 - 1. assign V061743 = V260030. assign V013805 = V758990. assign V568884 = V550018. assign V070992 = V258211 + 1. assign V766515 = V422954. assign V162226 = V597192 + 1. assign V586045 = V897003 + 1. assign V043804 = V872189. assign V957572 = V139507 + 1. assign V240371 = V766515 - 1. assign V516576 = V551737. assign V163618 = V920893 + 1. assign V068554 = 1. assign V260030 = V714495. assign V139507 = V758990 + 1. assign V335823 = V608011. assign V673879 = V878855 + 1. assign V980859 = V611966 - 1. assign V551737 = V726346. assign V506347 = V689694 - 1. assign V611966 = V513703. assign V902616 = V127304. assign V132629 = V597252. assign V309085 = V586045. assign V707175 = V810196. assign V908231 = V543651. assign V904508 = V553844. assign V878140 = V191729 + 1. assign V655253 = V191729 + 1. assign V446274 = V373395 - 1. assign V335414 = V716404. assign V610474 = V541496 + 1. assign V208950 = V586045. assign V032717 = V406598 + 1. assign V402089 = V071608 + 1. assign V191729 = V758990. assign V604911 = V240562 + 1. assign V608011 = V629912 + 1. assign V930562 = V603918 + 1. assign V127304 = V523099. assign V504394 = V604911 + 1. assign V558891 = V930562 + 1. assign V258391 = V716404 - 1. assign V484194 = V611966. assign V091798 = V823210 + 1. assign V881767 = V309085. assign V965858 = V611966 - 1. assign V440817 = V341270 - 1. assign V958671 = V629912 - 1. assign V279309 = V312758 + 1. assign V157634 = V810196 + 1. assign V415088 = V248386. assign V723282 = V131684 + 1. assign V270328 = V608011. assign V603918 = V579890 - 1. assign V543651 = V033630 - 1. assign V541496 = V341270 - 1. assign V709087 = V831309 + 1. assign V896487 = V574844 - 1. assign V749108 = V891254 - 1. assign V336896 = V279309 - 1. assign V101444 = V248386 + 1. assign V160641 = V032717 + 1. assign V842853 = V425756 - 1. assign V597192 = V260030. assign V670439 = V758990 - 1. assign V144093 = V550018 + 1. assign V837187 = V670439 - 1. assign V800680 = V494995 - 1. assign V365519 = V506347. assign V758990 = V258211. assign V897003 = V258211. assign V878855 = V810196 + 1. assign V595493 = V475673. assign V238224 = V137770 - 1. assign V401791 = V340614. assign V362873 = V937002 + 1. assign V597252 = V013805 + 1. assign V345303 = V604911 + 1. assign V243989 = V163618. assign V091839 = V240562 - 1. assign V872189 = V920893. assign V743434 = V425756. assign V648709 = V191729. assign V550018 = V240562 - 1. assign V689694 = V345303 + 1. assign V240562 = V543651 + 1. assign V494995 = V258211 - 1. assign V364246 = V541496 - 1. assign V783949 = V980859 - 1. assign V574844 = V550018. assign V422954 = V603918. assign V991009 = V131684 - 1. assign V971089 = V597252 + 1. assign V861948 = V208950. assign V716404 = V248386 - 1. assign V354181 = V673879 + 1. assign V810196 = V543651 + 1. assign V523099 = V270328. assign V248386 = V604911 - 1. assign V931623 = V208950. assign V527907 = V823210 - 1. assign V002407 = V191729. assign V831309 = V975513 - 1. assign V726346 = V707175 + 1. assign V033630 = V258211 - 1. assign V614744 = V603918 - 1. assign V823210 = V991009 + 1. assign V425756 = V406598. assign V847263 = V861948 + 1. assign V340614 = V716404. assign V690916 = V908231. assign V719765 = V258211 + 1. assign V882701 = V335414. assign V558018 = V568884. assign V965478 = V957833 - 1. assign V110713 = V246198. assign V051862 = V937002 - 1. assign V824346 = V782988. assign V191523 = V312758 + 1. assign V494232 = V137770. assign V579890 = V758990 - 1. assign V937002 = V716404 - 1. assign V910960 = V068554 - 1. assign V767144 = V065329 + 1. assign V895193 = V980859 + 1. assign V229988 = V586045 + 1. assign V782988 = V543651 - 1. assign V110395 = V991009 - 1. assign V169954 = V597192 - 1. assign V513703 = V240562 + 1. assign V396309 = V312758. assign V406598 = V191729 + 1. assign V840802 = V608011. assign V121206 = V191729 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V843420 = V810196. assign V940696 = V240562 + 1. assign V047567 = V550018 + 1. assign V891254 = V568884. assign V246198 = V843420. assign V004417 = V891254 - 1. assign V495076 = V550018. assign V341270 = V550018 - 1. assign V920893 = V341270 + 1. assign V714495 = V110395. assign V372387 = V810196 - 1. assign V774028 = V758990. assign V553844 = V782988 - 1. assign V990876 = V139507. assign V505900 = V139507 + 1. assign V131684 = V341270 - 1. assign V373395 = V990876 + 1. assign V594426 = V415088. assign V312758 = V513703 - 1. assign V136928 = V594426. assign V419817 = V595493 + 1. assign V580138 = V070992 - 1. assign V082749 = V716404 + 1. assign V475673 = V139507 + 1. assign V575261 = V878855. assign V975513 = V758990. assign V856068 = V758990. assign V909692 = V513703 + 1. assign V705863 = V767144. assign V071608 = V878855 - 1. assign V152583 = V882701 + 1. assign V279873 = V611966 + 1. assign V629912 = V191729. assign V065329 = V504394 + 1. assign V352435 = V878140. assign V957833 = V920893 - 1. assign V137770 = V878855 - 1. assign V061743 = V260030. assign V013805 = V758990. assign V568884 = V550018. assign V070992 = V258211 + 1. assign V766515 = V422954. assign V162226 = V597192 + 1. assign V586045 = V897003 + 1. assign V043804 = V872189. assign V957572 = V139507 + 1. assign V240371 = V766515 - 1. assign V516576 = V551737. assign V163618 = V920893 + 1. assign V068554 = 1. assign V260030 = V714495. assign V139507 = V758990 + 1. assign V335823 = V608011. assign V673879 = V878855 + 1. assign V980859 = V611966 - 1. assign V551737 = V726346. assign V506347 = V689694 - 1. assign V611966 = V513703. assign V902616 = V127304. assign V132629 = V597252. assign V309085 = V586045. assign V707175 = V810196. assign V908231 = V543651. assign V904508 = V553844. assign V878140 = V191729 + 1. assign V655253 = V191729 + 1. assign V446274 = V373395 - 1. assign V335414 = V716404. assign V610474 = V541496 + 1. assign V208950 = V586045. assign V032717 = V406598 + 1. assign V402089 = V071608 + 1. assign V191729 = V758990. assign V604911 = V240562 + 1. assign V608011 = V629912 + 1. assign V930562 = V603918 + 1. assign V127304 = V523099. assign V504394 = V604911 + 1. assign V558891 = V930562 + 1. assign V258391 = V716404 - 1. assign V484194 = V611966. assign V091798 = V823210 + 1. assign V881767 = V309085. assign V965858 = V611966 - 1. assign V440817 = V341270 - 1. assign V958671 = V629912 - 1. assign V279309 = V312758 + 1. assign V157634 = V810196 + 1. assign V415088 = V248386. assign V723282 = V131684 + 1. assign V270328 = V608011. assign V603918 = V579890 - 1. assign V543651 = V033630 - 1. assign V541496 = V341270 - 1. assign V709087 = V831309 + 1. assign V896487 = V574844 - 1. assign V749108 = V891254 - 1. assign V336896 = V279309 - 1. assign V101444 = V248386 + 1. assign V160641 = V032717 + 1. assign V842853 = V425756 - 1. assign V597192 = V260030. assign V670439 = V758990 - 1. assign V144093 = V550018 + 1. assign V837187 = V670439 - 1. assign V800680 = V494995 - 1. assign V365519 = V506347. assign V758990 = V258211. assign V897003 = V258211. assign V878855 = V810196 + 1. assign V595493 = V475673. assign V238224 = V137770 - 1. assign V401791 = V340614. assign V362873 = V937002 + 1. assign V597252 = V013805 + 1. assign V345303 = V604911 + 1. assign V243989 = V163618. assign V091839 = V240562 - 1. assign V872189 = V920893. assign V743434 = V425756. assign V648709 = V191729. assign V550018 = V240562 - 1. assign V689694 = V345303 + 1. assign V240562 = V543651 + 1. assign V494995 = V258211 - 1. assign V364246 = V541496 - 1. assign V783949 = V980859 - 1. assign V574844 = V550018. assign V422954 = V603918. assign V991009 = V131684 - 1. assign V971089 = V597252 + 1. assign V861948 = V208950. assign V716404 = V248386 - 1. assign V354181 = V673879 + 1. assign V810196 = V543651 + 1. assign V523099 = V270328. assign V248386 = V604911 - 1. assign V931623 = V208950. assign V527907 = V823210 - 1. assign V002407 = V191729. assign V831309 = V975513 - 1. assign V726346 = V707175 + 1. assign V033630 = V258211 - 1. assign V614744 = V603918 - 1. assign V823210 = V991009 + 1. assign V425756 = V406598. assign V847263 = V861948 + 1. assign V340614 = V716404. assign V690916 = V908231. assign V719765 = V258211 + 1. assign V882701 = V335414. assign V558018 = V568884. assign V965478 = V957833 - 1. assign V110713 = V246198. assign V051862 = V937002 - 1. assign V824346 = V782988. assign V191523 = V312758 + 1. assign V494232 = V137770. assign V579890 = V758990 - 1. assign V937002 = V716404 - 1. assign V910960 = V068554 - 1. assign V767144 = V065329 + 1. assign V895193 = V980859 + 1. assign V229988 = V586045 + 1. assign V782988 = V543651 - 1. assign V110395 = V991009 - 1. assign V169954 = V597192 - 1. assign V513703 = V240562 + 1. assign V396309 = V312758. assign V406598 = V191729 + 1. assign V840802 = V608011. assign V121206 = V191729 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV068554 = 1;\n\nFrom these direct assignment(s), we have: \nV910960 = V068554 - 1 = 1 - 1 =0;\nNo other variables can be derived from V910960;\nNo other variables can be derived from V068554;\n\nNow we have done all the calculations. Derived variables are:\nV068554 = 1;\nV910960 = 0;\n\nNow we have finished this problem. ANSWER:\nV068554\n", "role": "assistant" } ]

[ "V701386", "V081565" ]

[ { "content": "<context>\nassign V770898 = V953118 + 1. assign V902135 = V135893 + 1. assign V886549 = V991203. assign V170763 = V560050 + 1. assign V194323 = V835694 + 1. assign V748267 = V003975 - 1. assign V077132 = V611524 - 1. assign V642655 = V723469. assign V724173 = V286539 - 1. assign V244842 = V964493 + 1. assign V789272 = V530271. assign V380723 = V077132 + 1. assign V706912 = V171563. assign V212651 = V981452 + 1. assign V072605 = V380723 + 1. assign V560852 = V253301 - 1. assign V870269 = V084556. assign V195589 = V171563 + 1. assign V589642 = V611524. assign V979123 = V392351 + 1. assign V363183 = V194323 + 1. assign V347443 = V582240 - 1. assign V457000 = V694919. assign V724940 = V770328 + 1. assign V368629 = V964493 - 1. assign V560050 = V084556 + 1. assign V799811 = V843524. assign V516075 = V278626 + 1. assign V009158 = V694919 - 1. assign V893269 = V573512. assign V695914 = V723469. assign V257733 = V231158. assign V792933 = V031745 - 1. assign V802250 = V964493 - 1. assign V360718 = V583619. assign V504674 = V457000. assign V696619 = V883741 + 1. assign V112339 = V843524 - 1. assign V427137 = V072605 - 1. assign V573512 = V799979. assign V754287 = V695914 + 1. assign V927858 = V589642 + 1. assign V231158 = V883741 + 1. assign V350636 = V701088. assign V332774 = V136834 - 1. assign V896091 = V830320 + 1. assign V964493 = V171563 + 1. assign V253301 = V278626 + 1. assign V701386 = 4. assign V197724 = V762920 - 1. assign V447982 = V919677. assign V099350 = V582240. assign V379259 = V058512. assign V770328 = V202689 + 1. assign V266357 = V830320. assign V323474 = V407093 - 1. assign V691135 = V447052 + 1. assign V242454 = V559946 + 1. assign V396272 = V870269. assign V766843 = V416501. assign V878276 = V886549 + 1. assign V836000 = V244842. assign V447052 = V611524. assign V278626 = V205428. assign V407093 = V195589. assign V530271 = V099443 + 1. assign V659807 = V099443 + 1. assign V972939 = V031745 - 1. assign V799979 = V762920 + 1. assign V905440 = V034673 - 1. assign V812180 = V195589. assign V031745 = V427137 + 1. assign V079602 = V072605. assign V093398 = V843524 + 1. assign V872884 = V572673 - 1. assign V003975 = V273374. assign V150450 = V965294. assign V835694 = V762920 + 1. assign V669703 = V072605. assign V653420 = V819623. assign V389657 = V696619 + 1. assign V168933 = V273374 - 1. assign V034673 = V843524 + 1. assign V273374 = V447052 + 1. assign V083848 = V799811 - 1. assign V843524 = V171563 + 1. assign V583619 = V093398 + 1. assign V572673 = V653420 + 1. assign V480440 = V696619. assign V694919 = V195589 - 1. assign V582240 = V407162 + 1. assign V978242 = V964493. assign V656744 = V694919. assign V286539 = V995295. assign V313912 = V835694 - 1. assign V339531 = V543601 + 1. assign V583907 = V278626 - 1. assign V918666 = V543601 - 1. assign V119929 = V266357 + 1. assign V422084 = V084556 + 1. assign V667570 = V498671 + 1. assign V801017 = V480406 - 1. assign V135893 = V802250 - 1. assign V323265 = V278626 + 1. assign V723469 = V197724 - 1. assign V123172 = V194323 - 1. assign V543601 = V171563. assign V016760 = V504674 - 1. assign V099443 = V835694 + 1. assign V136834 = V770898 - 1. assign V058512 = V205428 - 1. assign V084556 = V363183 - 1. assign V854960 = V611524 + 1. assign V585016 = V582240 - 1. assign V067309 = V843524 - 1. assign V286838 = V981452 - 1. assign V416501 = V582240 - 1. assign V354455 = V171563 - 1. assign V105134 = V447982 - 1. assign V819623 = V964493 - 1. assign V953118 = V964493. assign V081565 = V701386. assign V919677 = V203501 - 1. assign V150634 = V981452 - 1. assign V977764 = V099443 + 1. assign V217788 = V656744. assign V409337 = V695914 + 1. assign V568215 = V407093. assign V140002 = V004572. assign V304541 = V987679. assign V203501 = V802250. assign V407162 = V543601 + 1. assign V192184 = V244842. assign V238526 = V388234 - 1. assign V892501 = V762920 - 1. assign V378873 = V819623 + 1. assign V838582 = V582240. assign V205428 = V079602 + 1. assign V701088 = V843524 - 1. assign V137398 = V659807 - 1. assign V388234 = V653420. assign V392351 = V659807 + 1. assign V987679 = V819623 - 1. assign V498671 = V388234. assign V214737 = V691135. assign V572998 = V034673 + 1. assign V642209 = V830320. assign V965294 = V695914 - 1. assign V442368 = V407162 + 1. assign V480406 = V354455 + 1. assign V830320 = V072605. assign V654928 = V953118 + 1. assign V762920 = V354455 - 1. assign V995295 = V919677 + 1. assign V981452 = V354455. assign V372680 = V150634. assign V475236 = V323474. assign V268497 = V150634 - 1. assign V202689 = V447052. assign V611524 = V171563. assign V493552 = V893269 + 1. assign V156933 = V572673 - 1. assign V559946 = V286539 + 1. assign V149491 = V802250 + 1. assign V512004 = V273374. assign V301171 = V981452 + 1. assign V004572 = V695914 - 1. assign V284893 = V231158 + 1. assign V991203 = V981452. assign V883741 = V981452 - 1. assign V549103 = V195589 - 1. assign V534154 = V572673 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V770898 = V953118 + 1. assign V902135 = V135893 + 1. assign V886549 = V991203. assign V170763 = V560050 + 1. assign V194323 = V835694 + 1. assign V748267 = V003975 - 1. assign V077132 = V611524 - 1. assign V642655 = V723469. assign V724173 = V286539 - 1. assign V244842 = V964493 + 1. assign V789272 = V530271. assign V380723 = V077132 + 1. assign V706912 = V171563. assign V212651 = V981452 + 1. assign V072605 = V380723 + 1. assign V560852 = V253301 - 1. assign V870269 = V084556. assign V195589 = V171563 + 1. assign V589642 = V611524. assign V979123 = V392351 + 1. assign V363183 = V194323 + 1. assign V347443 = V582240 - 1. assign V457000 = V694919. assign V724940 = V770328 + 1. assign V368629 = V964493 - 1. assign V560050 = V084556 + 1. assign V799811 = V843524. assign V516075 = V278626 + 1. assign V009158 = V694919 - 1. assign V893269 = V573512. assign V695914 = V723469. assign V257733 = V231158. assign V792933 = V031745 - 1. assign V802250 = V964493 - 1. assign V360718 = V583619. assign V504674 = V457000. assign V696619 = V883741 + 1. assign V112339 = V843524 - 1. assign V427137 = V072605 - 1. assign V573512 = V799979. assign V754287 = V695914 + 1. assign V927858 = V589642 + 1. assign V231158 = V883741 + 1. assign V350636 = V701088. assign V332774 = V136834 - 1. assign V896091 = V830320 + 1. assign V964493 = V171563 + 1. assign V253301 = V278626 + 1. assign V701386 = 4. assign V197724 = V762920 - 1. assign V447982 = V919677. assign V099350 = V582240. assign V379259 = V058512. assign V770328 = V202689 + 1. assign V266357 = V830320. assign V323474 = V407093 - 1. assign V691135 = V447052 + 1. assign V242454 = V559946 + 1. assign V396272 = V870269. assign V766843 = V416501. assign V878276 = V886549 + 1. assign V836000 = V244842. assign V447052 = V611524. assign V278626 = V205428. assign V407093 = V195589. assign V530271 = V099443 + 1. assign V659807 = V099443 + 1. assign V972939 = V031745 - 1. assign V799979 = V762920 + 1. assign V905440 = V034673 - 1. assign V812180 = V195589. assign V031745 = V427137 + 1. assign V079602 = V072605. assign V093398 = V843524 + 1. assign V872884 = V572673 - 1. assign V003975 = V273374. assign V150450 = V965294. assign V835694 = V762920 + 1. assign V669703 = V072605. assign V653420 = V819623. assign V389657 = V696619 + 1. assign V168933 = V273374 - 1. assign V034673 = V843524 + 1. assign V273374 = V447052 + 1. assign V083848 = V799811 - 1. assign V843524 = V171563 + 1. assign V583619 = V093398 + 1. assign V572673 = V653420 + 1. assign V480440 = V696619. assign V694919 = V195589 - 1. assign V582240 = V407162 + 1. assign V978242 = V964493. assign V656744 = V694919. assign V286539 = V995295. assign V313912 = V835694 - 1. assign V339531 = V543601 + 1. assign V583907 = V278626 - 1. assign V918666 = V543601 - 1. assign V119929 = V266357 + 1. assign V422084 = V084556 + 1. assign V667570 = V498671 + 1. assign V801017 = V480406 - 1. assign V135893 = V802250 - 1. assign V323265 = V278626 + 1. assign V723469 = V197724 - 1. assign V123172 = V194323 - 1. assign V543601 = V171563. assign V016760 = V504674 - 1. assign V099443 = V835694 + 1. assign V136834 = V770898 - 1. assign V058512 = V205428 - 1. assign V084556 = V363183 - 1. assign V854960 = V611524 + 1. assign V585016 = V582240 - 1. assign V067309 = V843524 - 1. assign V286838 = V981452 - 1. assign V416501 = V582240 - 1. assign V354455 = V171563 - 1. assign V105134 = V447982 - 1. assign V819623 = V964493 - 1. assign V953118 = V964493. assign V081565 = V701386. assign V919677 = V203501 - 1. assign V150634 = V981452 - 1. assign V977764 = V099443 + 1. assign V217788 = V656744. assign V409337 = V695914 + 1. assign V568215 = V407093. assign V140002 = V004572. assign V304541 = V987679. assign V203501 = V802250. assign V407162 = V543601 + 1. assign V192184 = V244842. assign V238526 = V388234 - 1. assign V892501 = V762920 - 1. assign V378873 = V819623 + 1. assign V838582 = V582240. assign V205428 = V079602 + 1. assign V701088 = V843524 - 1. assign V137398 = V659807 - 1. assign V388234 = V653420. assign V392351 = V659807 + 1. assign V987679 = V819623 - 1. assign V498671 = V388234. assign V214737 = V691135. assign V572998 = V034673 + 1. assign V642209 = V830320. assign V965294 = V695914 - 1. assign V442368 = V407162 + 1. assign V480406 = V354455 + 1. assign V830320 = V072605. assign V654928 = V953118 + 1. assign V762920 = V354455 - 1. assign V995295 = V919677 + 1. assign V981452 = V354455. assign V372680 = V150634. assign V475236 = V323474. assign V268497 = V150634 - 1. assign V202689 = V447052. assign V611524 = V171563. assign V493552 = V893269 + 1. assign V156933 = V572673 - 1. assign V559946 = V286539 + 1. assign V149491 = V802250 + 1. assign V512004 = V273374. assign V301171 = V981452 + 1. assign V004572 = V695914 - 1. assign V284893 = V231158 + 1. assign V991203 = V981452. assign V883741 = V981452 - 1. assign V549103 = V195589 - 1. assign V534154 = V572673 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV701386 = 4;\n\nFrom these direct assignment(s), we have: \nV081565 = V701386 = 4;\nNo other variables can be derived from V081565;\nNo other variables can be derived from V701386;\n\nNow we have done all the calculations. Derived variables are:\nV701386 = 4;\nV081565 = 4;\n\nNow we have finished this problem. ANSWER:\nV701386, V081565\n", "role": "assistant" } ]

[ "V400197", "V856438" ]

[ { "content": "<context>\nassign V870467 = V758317. assign V878883 = V803690 - 1. assign V983474 = V062078. assign V988318 = V922293 - 1. assign V340512 = V123509 + 1. assign V112869 = V973452. assign V350519 = V269827 + 1. assign V473200 = V673473. assign V535365 = V375630 - 1. assign V871441 = V167324 + 1. assign V761818 = V630741. assign V818741 = V309096. assign V489506 = V990767 - 1. assign V640302 = V761469 - 1. assign V652637 = V489506 + 1. assign V587333 = V767000 + 1. assign V251942 = V461143. assign V354063 = V289803 + 1. assign V818445 = V666932. assign V113835 = V588032 - 1. assign V686943 = V922293 + 1. assign V856438 = V400197. assign V183771 = V289803. assign V564961 = V686943 + 1. assign V147710 = V922293. assign V079359 = V337780. assign V375630 = V751926 + 1. assign V330545 = V588032 + 1. assign V103578 = V666313 - 1. assign V520547 = V630741 - 1. assign V545311 = V843281. assign V352512 = V289803. assign V496141 = V530274 + 1. assign V530274 = V588032 + 1. assign V958171 = V214069 - 1. assign V740562 = V988318. assign V543827 = V292671 - 1. assign V129160 = V020090 - 1. assign V347914 = V686943 + 1. assign V607652 = V530274. assign V127030 = V630741 - 1. assign V863987 = V183771. assign V177650 = V123509 + 1. assign V700203 = V686943. assign V782826 = V887779. assign V646724 = V767000 + 1. assign V853062 = V958651 - 1. assign V590087 = V041689 - 1. assign V958651 = V309096. assign V128335 = V520547 + 1. assign V428767 = V065257. assign V785721 = V619221 - 1. assign V711219 = V983474. assign V088391 = V062078 + 1. assign V553631 = V607652. assign V874958 = V123509 - 1. assign V630741 = V001140 + 1. assign V660475 = V711219 - 1. assign V929270 = V354063 + 1. assign V062078 = V947777 + 1. assign V678035 = V765647 + 1. assign V767000 = V125156 - 1. assign V092533 = V066003 - 1. assign V153707 = V562612 - 1. assign V990767 = V587333. assign V213884 = V461143 - 1. assign V562612 = V640302 - 1. assign V516481 = V731909 - 1. assign V069677 = V646724 + 1. assign V325159 = V340512. assign V666932 = V289803 - 1. assign V728692 = V785721 - 1. assign V887967 = V172419 + 1. assign V863469 = V289803 - 1. assign V400752 = V640302. assign V172419 = V228178 - 1. assign V843281 = V330545 + 1. assign V999888 = V228178 + 1. assign V973452 = V137635 - 1. assign V549539 = V535365. assign V737056 = V520547 + 1. assign V894675 = V113835 - 1. assign V742919 = V630741 - 1. assign V522924 = V001140 + 1. assign V289803 = V922293 - 1. assign V906959 = V400752. assign V810655 = V269827. assign V757767 = V887779 + 1. assign V929944 = V619221 + 1. assign V001140 = V863469 + 1. assign V308692 = V666932 + 1. assign V436882 = V843281. assign V337780 = V731909 + 1. assign V575025 = V169555. assign V214069 = V686943. assign V666313 = V041689 + 1. assign V755926 = V950035 + 1. assign V183599 = V765647 + 1. assign V957675 = V945957 + 1. assign V125156 = V522924. assign V308375 = V722716 - 1. assign V228178 = V588032 - 1. assign V671841 = V878883 + 1. assign V767133 = V687691. assign V751926 = V177650. assign V279454 = V228178 - 1. assign V588032 = V863469 - 1. assign V929825 = V929944 + 1. assign V945957 = V887779. assign V453188 = V878883 + 1. assign V758317 = V742919 + 1. assign V811956 = V666932 + 1. assign V918572 = V177650. assign V956573 = V228178 + 1. assign V673473 = V588032 - 1. assign V743133 = V588032 + 1. assign V906500 = V377445 - 1. assign V294814 = V325159 - 1. assign V283627 = V640302. assign V761469 = V350519. assign V628298 = V127030 + 1. assign V041689 = V123509 - 1. assign V705522 = V666932 + 1. assign V081938 = V983474. assign V887779 = V137635 - 1. assign V048074 = V496141. assign V722716 = V127030 - 1. assign V461143 = V177650 - 1. assign V309096 = V686943 - 1. assign V079129 = V549539 + 1. assign V573080 = V137635 + 1. assign V641485 = V930409 - 1. assign V884131 = V352512 + 1. assign V645600 = V887779 + 1. assign V622826 = V731909 - 1. assign V167324 = V645600. assign V687691 = V228178 - 1. assign V947777 = V737056 - 1. assign V066003 = V767000 - 1. assign V064612 = V562612. assign V292671 = V113835. assign V377445 = V522924 + 1. assign V085073 = V673473 - 1. assign V169555 = V666932. assign V731909 = V761818. assign V552482 = V818741. assign V137900 = V588032 + 1. assign V400197 = 4. assign V930409 = V330545. assign V069288 = V906500. assign V950035 = V956573 + 1. assign V765647 = V530274 + 1. assign V020090 = V619221 + 1. assign V386732 = V387371 - 1. assign V137635 = V588032 - 1. assign V032402 = V127030 + 1. assign V387371 = V289803 + 1. assign V123509 = V958651 - 1. assign V803690 = V001140 + 1. assign V182002 = V279454. assign V269827 = V988318 + 1. assign V752552 = V767000 + 1. assign V569754 = V930409 + 1. assign V454805 = V279454 - 1. assign V365510 = V520547 - 1. assign V065257 = V387371 - 1. assign V586313 = V922293 - 1. assign V606995 = V461143 - 1. assign V530476 = V673473 - 1. assign V576131 = V020090 + 1. assign V619221 = V666932. assign V858270 = V172419 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V870467 = V758317. assign V878883 = V803690 - 1. assign V983474 = V062078. assign V988318 = V922293 - 1. assign V340512 = V123509 + 1. assign V112869 = V973452. assign V350519 = V269827 + 1. assign V473200 = V673473. assign V535365 = V375630 - 1. assign V871441 = V167324 + 1. assign V761818 = V630741. assign V818741 = V309096. assign V489506 = V990767 - 1. assign V640302 = V761469 - 1. assign V652637 = V489506 + 1. assign V587333 = V767000 + 1. assign V251942 = V461143. assign V354063 = V289803 + 1. assign V818445 = V666932. assign V113835 = V588032 - 1. assign V686943 = V922293 + 1. assign V856438 = V400197. assign V183771 = V289803. assign V564961 = V686943 + 1. assign V147710 = V922293. assign V079359 = V337780. assign V375630 = V751926 + 1. assign V330545 = V588032 + 1. assign V103578 = V666313 - 1. assign V520547 = V630741 - 1. assign V545311 = V843281. assign V352512 = V289803. assign V496141 = V530274 + 1. assign V530274 = V588032 + 1. assign V958171 = V214069 - 1. assign V740562 = V988318. assign V543827 = V292671 - 1. assign V129160 = V020090 - 1. assign V347914 = V686943 + 1. assign V607652 = V530274. assign V127030 = V630741 - 1. assign V863987 = V183771. assign V177650 = V123509 + 1. assign V700203 = V686943. assign V782826 = V887779. assign V646724 = V767000 + 1. assign V853062 = V958651 - 1. assign V590087 = V041689 - 1. assign V958651 = V309096. assign V128335 = V520547 + 1. assign V428767 = V065257. assign V785721 = V619221 - 1. assign V711219 = V983474. assign V088391 = V062078 + 1. assign V553631 = V607652. assign V874958 = V123509 - 1. assign V630741 = V001140 + 1. assign V660475 = V711219 - 1. assign V929270 = V354063 + 1. assign V062078 = V947777 + 1. assign V678035 = V765647 + 1. assign V767000 = V125156 - 1. assign V092533 = V066003 - 1. assign V153707 = V562612 - 1. assign V990767 = V587333. assign V213884 = V461143 - 1. assign V562612 = V640302 - 1. assign V516481 = V731909 - 1. assign V069677 = V646724 + 1. assign V325159 = V340512. assign V666932 = V289803 - 1. assign V728692 = V785721 - 1. assign V887967 = V172419 + 1. assign V863469 = V289803 - 1. assign V400752 = V640302. assign V172419 = V228178 - 1. assign V843281 = V330545 + 1. assign V999888 = V228178 + 1. assign V973452 = V137635 - 1. assign V549539 = V535365. assign V737056 = V520547 + 1. assign V894675 = V113835 - 1. assign V742919 = V630741 - 1. assign V522924 = V001140 + 1. assign V289803 = V922293 - 1. assign V906959 = V400752. assign V810655 = V269827. assign V757767 = V887779 + 1. assign V929944 = V619221 + 1. assign V001140 = V863469 + 1. assign V308692 = V666932 + 1. assign V436882 = V843281. assign V337780 = V731909 + 1. assign V575025 = V169555. assign V214069 = V686943. assign V666313 = V041689 + 1. assign V755926 = V950035 + 1. assign V183599 = V765647 + 1. assign V957675 = V945957 + 1. assign V125156 = V522924. assign V308375 = V722716 - 1. assign V228178 = V588032 - 1. assign V671841 = V878883 + 1. assign V767133 = V687691. assign V751926 = V177650. assign V279454 = V228178 - 1. assign V588032 = V863469 - 1. assign V929825 = V929944 + 1. assign V945957 = V887779. assign V453188 = V878883 + 1. assign V758317 = V742919 + 1. assign V811956 = V666932 + 1. assign V918572 = V177650. assign V956573 = V228178 + 1. assign V673473 = V588032 - 1. assign V743133 = V588032 + 1. assign V906500 = V377445 - 1. assign V294814 = V325159 - 1. assign V283627 = V640302. assign V761469 = V350519. assign V628298 = V127030 + 1. assign V041689 = V123509 - 1. assign V705522 = V666932 + 1. assign V081938 = V983474. assign V887779 = V137635 - 1. assign V048074 = V496141. assign V722716 = V127030 - 1. assign V461143 = V177650 - 1. assign V309096 = V686943 - 1. assign V079129 = V549539 + 1. assign V573080 = V137635 + 1. assign V641485 = V930409 - 1. assign V884131 = V352512 + 1. assign V645600 = V887779 + 1. assign V622826 = V731909 - 1. assign V167324 = V645600. assign V687691 = V228178 - 1. assign V947777 = V737056 - 1. assign V066003 = V767000 - 1. assign V064612 = V562612. assign V292671 = V113835. assign V377445 = V522924 + 1. assign V085073 = V673473 - 1. assign V169555 = V666932. assign V731909 = V761818. assign V552482 = V818741. assign V137900 = V588032 + 1. assign V400197 = 4. assign V930409 = V330545. assign V069288 = V906500. assign V950035 = V956573 + 1. assign V765647 = V530274 + 1. assign V020090 = V619221 + 1. assign V386732 = V387371 - 1. assign V137635 = V588032 - 1. assign V032402 = V127030 + 1. assign V387371 = V289803 + 1. assign V123509 = V958651 - 1. assign V803690 = V001140 + 1. assign V182002 = V279454. assign V269827 = V988318 + 1. assign V752552 = V767000 + 1. assign V569754 = V930409 + 1. assign V454805 = V279454 - 1. assign V365510 = V520547 - 1. assign V065257 = V387371 - 1. assign V586313 = V922293 - 1. assign V606995 = V461143 - 1. assign V530476 = V673473 - 1. assign V576131 = V020090 + 1. assign V619221 = V666932. assign V858270 = V172419 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV400197 = 4;\n\nFrom these direct assignment(s), we have: \nV856438 = V400197 = 4;\nNo other variables can be derived from V856438;\nNo other variables can be derived from V400197;\n\nNow we have done all the calculations. Derived variables are:\nV400197 = 4;\nV856438 = 4;\n\nNow we have finished this problem. ANSWER:\nV400197, V856438\n", "role": "assistant" } ]

[ "V266772" ]

[ { "content": "<context>\nassign V427857 = V588681. assign V725505 = V244336. assign V015070 = V875886. assign V858464 = V889743 + 1. assign V458279 = V007212 - 1. assign V006436 = V349322 - 1. assign V153168 = V094073 + 1. assign V599686 = V277425 + 1. assign V731249 = V388409 - 1. assign V433963 = V282771 + 1. assign V616154 = V928792 - 1. assign V920305 = V928792 + 1. assign V166383 = V094073 + 1. assign V007212 = V522797 + 1. assign V543279 = V960568. assign V415039 = V158619. assign V553122 = V015070. assign V585856 = V091863 + 1. assign V557956 = V484460 - 1. assign V243874 = V075431 + 1. assign V674458 = V220766. assign V788263 = V015070. assign V791237 = V979427 + 1. assign V769077 = V511763 - 1. assign V694407 = V305072 + 1. assign V009185 = V084113. assign V459249 = V711430 + 1. assign V993784 = V490015 - 1. assign V388409 = V484460. assign V241191 = V510363. assign V236281 = V960568 + 1. assign V710884 = V514538. assign V369818 = V028766 - 1. assign V830794 = V028766 + 1. assign V319645 = V858991 - 1. assign V220766 = V443080 - 1. assign V695765 = V512645 + 1. assign V094073 = V791237. assign V463675 = V695765 - 1. assign V767516 = V960568. assign V396209 = V369818 + 1. assign V424917 = V386988 - 1. assign V588681 = V767516 + 1. assign V414709 = V352204 + 1. assign V947161 = V695765. assign V510363 = V270619. assign V852030 = V270619 + 1. assign V151729 = V120113 - 1. assign V277425 = V993784. assign V013949 = V443080 + 1. assign V520865 = V282771 - 1. assign V343060 = V996794 - 1. assign V813102 = V158619 + 1. assign V336440 = V588803 - 1. assign V443080 = V993784 + 1. assign V547177 = V427857 + 1. assign V282771 = V443080. assign V317525 = V522797 - 1. assign V568909 = V270619 + 1. assign V996794 = V621939 + 1. assign V353083 = V209892 + 1. assign V854948 = V273770. assign V209892 = V060579. assign V360092 = V244336 + 1. assign V413861 = V490015 + 1. assign V366230 = V523480 - 1. assign V220314 = V273770 - 1. assign V224439 = V220314 + 1. assign V650176 = V319645. assign V752606 = V367932 - 1. assign V979427 = V522797 + 1. assign V908099 = V352204 + 1. assign V134984 = V151729 + 1. assign V349322 = V588803 - 1. assign V152303 = V106831 + 1. assign V591638 = V433963. assign V478673 = V388409. assign V804711 = V244336. assign V996665 = V277425 + 1. assign V084113 = V106831 + 1. assign V875886 = V111817 - 1. assign V212864 = V830794. assign V305072 = V512645. assign V588803 = V270619. assign V028766 = V443080 - 1. assign V120113 = V928792 - 1. assign V091254 = V270619 - 1. assign V352204 = V224439 + 1. assign V963508 = V872916 + 1. assign V106831 = V993784. assign V889743 = V695765. assign V989924 = V804711. assign V087091 = V621939 + 1. assign V180259 = V091863 - 1. assign V270619 = V960568. assign V675996 = V478673. assign V512645 = V616154. assign V524497 = V425858 + 1. assign V440151 = V675996. assign V311353 = V223932 + 1. assign V223868 = V686140 + 1. assign V192304 = V781985 - 1. assign V674039 = V106831. assign V664331 = V349322 + 1. assign V611306 = V875886 - 1. assign V888060 = V425858 + 1. assign V514307 = V830794 - 1. assign V273770 = V522797 - 1. assign V333402 = V277425 - 1. assign V960518 = V864018. assign V158619 = V993784 + 1. assign V711430 = V270619 - 1. assign V412687 = V568909 - 1. assign V824821 = 2. assign V064214 = V270619. assign V967623 = V514538 - 1. assign V823671 = V752606. assign V831501 = V009185 - 1. assign V590938 = V522797 + 1. assign V872916 = V888060 + 1. assign V650017 = V106831. assign V044528 = V621939. assign V367932 = V009185. assign V092324 = V510363. assign V858991 = V781985 + 1. assign V649139 = V996665. assign V055353 = V967623 + 1. assign V704557 = V413861. assign V511763 = V522797 + 1. assign V327238 = V920305 + 1. assign V071741 = V224439 - 1. assign V402137 = V947161 + 1. assign V015473 = V158619 + 1. assign V864018 = V649139 + 1. assign V989814 = V349322. assign V932590 = V413861. assign V949702 = V009185. assign V244336 = V270619 - 1. assign V518662 = V282771 - 1. assign V091863 = V522797. assign V111817 = V588803 - 1. assign V414448 = V512645 + 1. assign V343033 = V273770 + 1. assign V569354 = V413861. assign V484460 = V522797. assign V288825 = V152303. assign V060579 = V425858. assign V438843 = V412687. assign V109692 = V585856 + 1. assign V223932 = V273770. assign V172754 = V433963 + 1. assign V793154 = V244336. assign V739320 = V725505. assign V621939 = V767516 - 1. assign V267191 = V788263 + 1. assign V928792 = V522797 - 1. assign V206682 = V993784 + 1. assign V266772 = V824821 - 1. assign V686140 = V075431. assign V658334 = V621939 + 1. assign V781985 = V621939 - 1. assign V598975 = V220766 - 1. assign V993624 = V015473. assign V386988 = V288825. assign V514538 = V585856. assign V523480 = V967623 + 1. assign V714504 = V212864. assign V522797 = V960568 - 1. assign V490015 = V960568 - 1. assign V075431 = V273770 - 1. assign V367665 = V009185 - 1. assign V425858 = V996665 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V427857 = V588681. assign V725505 = V244336. assign V015070 = V875886. assign V858464 = V889743 + 1. assign V458279 = V007212 - 1. assign V006436 = V349322 - 1. assign V153168 = V094073 + 1. assign V599686 = V277425 + 1. assign V731249 = V388409 - 1. assign V433963 = V282771 + 1. assign V616154 = V928792 - 1. assign V920305 = V928792 + 1. assign V166383 = V094073 + 1. assign V007212 = V522797 + 1. assign V543279 = V960568. assign V415039 = V158619. assign V553122 = V015070. assign V585856 = V091863 + 1. assign V557956 = V484460 - 1. assign V243874 = V075431 + 1. assign V674458 = V220766. assign V788263 = V015070. assign V791237 = V979427 + 1. assign V769077 = V511763 - 1. assign V694407 = V305072 + 1. assign V009185 = V084113. assign V459249 = V711430 + 1. assign V993784 = V490015 - 1. assign V388409 = V484460. assign V241191 = V510363. assign V236281 = V960568 + 1. assign V710884 = V514538. assign V369818 = V028766 - 1. assign V830794 = V028766 + 1. assign V319645 = V858991 - 1. assign V220766 = V443080 - 1. assign V695765 = V512645 + 1. assign V094073 = V791237. assign V463675 = V695765 - 1. assign V767516 = V960568. assign V396209 = V369818 + 1. assign V424917 = V386988 - 1. assign V588681 = V767516 + 1. assign V414709 = V352204 + 1. assign V947161 = V695765. assign V510363 = V270619. assign V852030 = V270619 + 1. assign V151729 = V120113 - 1. assign V277425 = V993784. assign V013949 = V443080 + 1. assign V520865 = V282771 - 1. assign V343060 = V996794 - 1. assign V813102 = V158619 + 1. assign V336440 = V588803 - 1. assign V443080 = V993784 + 1. assign V547177 = V427857 + 1. assign V282771 = V443080. assign V317525 = V522797 - 1. assign V568909 = V270619 + 1. assign V996794 = V621939 + 1. assign V353083 = V209892 + 1. assign V854948 = V273770. assign V209892 = V060579. assign V360092 = V244336 + 1. assign V413861 = V490015 + 1. assign V366230 = V523480 - 1. assign V220314 = V273770 - 1. assign V224439 = V220314 + 1. assign V650176 = V319645. assign V752606 = V367932 - 1. assign V979427 = V522797 + 1. assign V908099 = V352204 + 1. assign V134984 = V151729 + 1. assign V349322 = V588803 - 1. assign V152303 = V106831 + 1. assign V591638 = V433963. assign V478673 = V388409. assign V804711 = V244336. assign V996665 = V277425 + 1. assign V084113 = V106831 + 1. assign V875886 = V111817 - 1. assign V212864 = V830794. assign V305072 = V512645. assign V588803 = V270619. assign V028766 = V443080 - 1. assign V120113 = V928792 - 1. assign V091254 = V270619 - 1. assign V352204 = V224439 + 1. assign V963508 = V872916 + 1. assign V106831 = V993784. assign V889743 = V695765. assign V989924 = V804711. assign V087091 = V621939 + 1. assign V180259 = V091863 - 1. assign V270619 = V960568. assign V675996 = V478673. assign V512645 = V616154. assign V524497 = V425858 + 1. assign V440151 = V675996. assign V311353 = V223932 + 1. assign V223868 = V686140 + 1. assign V192304 = V781985 - 1. assign V674039 = V106831. assign V664331 = V349322 + 1. assign V611306 = V875886 - 1. assign V888060 = V425858 + 1. assign V514307 = V830794 - 1. assign V273770 = V522797 - 1. assign V333402 = V277425 - 1. assign V960518 = V864018. assign V158619 = V993784 + 1. assign V711430 = V270619 - 1. assign V412687 = V568909 - 1. assign V824821 = 2. assign V064214 = V270619. assign V967623 = V514538 - 1. assign V823671 = V752606. assign V831501 = V009185 - 1. assign V590938 = V522797 + 1. assign V872916 = V888060 + 1. assign V650017 = V106831. assign V044528 = V621939. assign V367932 = V009185. assign V092324 = V510363. assign V858991 = V781985 + 1. assign V649139 = V996665. assign V055353 = V967623 + 1. assign V704557 = V413861. assign V511763 = V522797 + 1. assign V327238 = V920305 + 1. assign V071741 = V224439 - 1. assign V402137 = V947161 + 1. assign V015473 = V158619 + 1. assign V864018 = V649139 + 1. assign V989814 = V349322. assign V932590 = V413861. assign V949702 = V009185. assign V244336 = V270619 - 1. assign V518662 = V282771 - 1. assign V091863 = V522797. assign V111817 = V588803 - 1. assign V414448 = V512645 + 1. assign V343033 = V273770 + 1. assign V569354 = V413861. assign V484460 = V522797. assign V288825 = V152303. assign V060579 = V425858. assign V438843 = V412687. assign V109692 = V585856 + 1. assign V223932 = V273770. assign V172754 = V433963 + 1. assign V793154 = V244336. assign V739320 = V725505. assign V621939 = V767516 - 1. assign V267191 = V788263 + 1. assign V928792 = V522797 - 1. assign V206682 = V993784 + 1. assign V266772 = V824821 - 1. assign V686140 = V075431. assign V658334 = V621939 + 1. assign V781985 = V621939 - 1. assign V598975 = V220766 - 1. assign V993624 = V015473. assign V386988 = V288825. assign V514538 = V585856. assign V523480 = V967623 + 1. assign V714504 = V212864. assign V522797 = V960568 - 1. assign V490015 = V960568 - 1. assign V075431 = V273770 - 1. assign V367665 = V009185 - 1. assign V425858 = V996665 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV824821 = 2;\n\nFrom these direct assignment(s), we have: \nV266772 = V824821 - 1 = 2 - 1 =1;\nNo other variables can be derived from V266772;\nNo other variables can be derived from V824821;\n\nNow we have done all the calculations. Derived variables are:\nV824821 = 2;\nV266772 = 1;\n\nNow we have finished this problem. ANSWER:\nV266772\n", "role": "assistant" } ]

[ "V559667" ]

[ { "content": "<context>\nassign V487160 = V479274 - 1. assign V173414 = V588344 + 1. assign V906372 = V548460. assign V160662 = V962912 - 1. assign V174163 = V797930 - 1. assign V454462 = V309804 + 1. assign V579804 = V067139. assign V267601 = V200936. assign V400967 = V956666 - 1. assign V984299 = V507931 + 1. assign V385918 = V076492 - 1. assign V858681 = V187900 + 1. assign V606016 = V197686 - 1. assign V463214 = V931458 + 1. assign V514944 = V221104. assign V624595 = V360120 - 1. assign V360120 = V797930 - 1. assign V613376 = V309804 - 1. assign V266586 = V778911 + 1. assign V877901 = V187900. assign V363644 = V747314. assign V733795 = V135302 + 1. assign V904641 = V479274 + 1. assign V838048 = V226436 - 1. assign V983072 = V382127. assign V364609 = V401949 - 1. assign V837242 = V093508. assign V200936 = V416814 - 1. assign V076492 = V521905 - 1. assign V401949 = V521905. assign V779068 = V476575 - 1. assign V962912 = V309804. assign V653170 = V476575. assign V665025 = V363644 - 1. assign V860361 = V784198 - 1. assign V382127 = V729397 - 1. assign V729965 = V985350 + 1. assign V247591 = V718865 + 1. assign V605912 = V234429 + 1. assign V959843 = V476575 - 1. assign V774822 = V559210 + 1. assign V966657 = V983072 - 1. assign V520232 = V056944 + 1. assign V453890 = V122027 + 1. assign V559667 = V849953 + 1. assign V243818 = V797930 - 1. assign V820792 = V462001. assign V838481 = V899129 - 1. assign V171189 = V899129 + 1. assign V831999 = V521905 + 1. assign V956666 = V962912. assign V234429 = V171189 - 1. assign V822139 = V887592 - 1. assign V587241 = V763879 + 1. assign V516709 = V135302 + 1. assign V932927 = V309804 + 1. assign V863270 = V208193 + 1. assign V257992 = V381721. assign V887592 = V171189. assign V797248 = V605912 - 1. assign V652548 = V932927 + 1. assign V822645 = V213551 + 1. assign V381721 = V309804 - 1. assign V763879 = V155057 - 1. assign V090863 = V101215. assign V778911 = V987495 + 1. assign V416814 = V797930 + 1. assign V094906 = V093508 - 1. assign V056944 = V234429. assign V431952 = V230622. assign V465738 = V171189. assign V101215 = V613376. assign V600686 = V719859 + 1. assign V849953 = 8. assign V899129 = V228953 - 1. assign V523687 = V247591 + 1. assign V797930 = V899129 + 1. assign V945249 = V027551. assign V588344 = V820792 + 1. assign V522206 = V454462 + 1. assign V476575 = V932927 + 1. assign V093508 = V033263 + 1. assign V155057 = V187900 + 1. assign V361973 = V507931 + 1. assign V507931 = V605912. assign V140047 = V454462 - 1. assign V807724 = V163462. assign V985350 = V838481 + 1. assign V027551 = V228953 + 1. assign V187900 = V382127 - 1. assign V548460 = V160662. assign V373504 = V520232. assign V987495 = V719859. assign V814803 = V784198. assign V119701 = V877901 - 1. assign V221104 = V160662 + 1. assign V067139 = V521905 - 1. assign V598206 = V774822 - 1. assign V352121 = V076492 + 1. assign V521905 = V718865 - 1. assign V077870 = V385918 + 1. assign V197686 = V838481 + 1. assign V033263 = V770890. assign V103954 = V257992. assign V042223 = V956666 + 1. assign V812530 = V090863 + 1. assign V736250 = V719859 + 1. assign V163462 = V831999 + 1. assign V272086 = V140047 - 1. assign V368250 = V587241 + 1. assign V988375 = V187900 + 1. assign V462001 = V479274 - 1. assign V961946 = V088606 - 1. assign V463137 = V160662. assign V729397 = V234429. assign V208193 = V600686 + 1. assign V756317 = V163462. assign V483374 = V493599 + 1. assign V303581 = V146774 + 1. assign V135302 = V056944 - 1. assign V851904 = V487160. assign V474841 = V247591. assign V226436 = V160662. assign V202441 = V363644 - 1. assign V335873 = V729965 + 1. assign V899249 = V863270. assign V002699 = V945249 + 1. assign V493599 = V962912 + 1. assign V110301 = V155057. assign V317757 = V877901. assign V105416 = V718865 - 1. assign V397735 = V887592 + 1. assign V931458 = V797930. assign V379039 = V838481 + 1. assign V309804 = V228953. assign V126126 = V463137 + 1. assign V230622 = V027551. assign V770890 = V838481. assign V521002 = V831999 + 1. assign V088606 = V067139 - 1. assign V213551 = V027551 + 1. assign V767789 = V699566. assign V718865 = V056944 + 1. assign V608163 = V729397 + 1. assign V259178 = V140047 - 1. assign V146774 = V463137 + 1. assign V719859 = V899129 - 1. assign V384273 = V774822. assign V243895 = V820792 - 1. assign V122027 = V521905 - 1. assign V192299 = V548460 - 1. assign V142629 = V521002. assign V891376 = V226436 - 1. assign V876807 = V613376. assign V003707 = V877901 - 1. assign V319853 = V736250. assign V762071 = V056944. assign V623427 = V521905 - 1. assign V233596 = V234429 + 1. assign V292550 = V476575 - 1. assign V816009 = V877901 - 1. assign V364928 = V729965. assign V614031 = V774822 + 1. assign V413900 = V155057 + 1. assign V559210 = V292550 - 1. assign V050049 = V479274. assign V479274 = V155057 - 1. assign V699566 = V548460. assign V406344 = V588344. assign V784198 = V718865. assign V372967 = V838481. assign V747314 = V413900 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V487160 = V479274 - 1. assign V173414 = V588344 + 1. assign V906372 = V548460. assign V160662 = V962912 - 1. assign V174163 = V797930 - 1. assign V454462 = V309804 + 1. assign V579804 = V067139. assign V267601 = V200936. assign V400967 = V956666 - 1. assign V984299 = V507931 + 1. assign V385918 = V076492 - 1. assign V858681 = V187900 + 1. assign V606016 = V197686 - 1. assign V463214 = V931458 + 1. assign V514944 = V221104. assign V624595 = V360120 - 1. assign V360120 = V797930 - 1. assign V613376 = V309804 - 1. assign V266586 = V778911 + 1. assign V877901 = V187900. assign V363644 = V747314. assign V733795 = V135302 + 1. assign V904641 = V479274 + 1. assign V838048 = V226436 - 1. assign V983072 = V382127. assign V364609 = V401949 - 1. assign V837242 = V093508. assign V200936 = V416814 - 1. assign V076492 = V521905 - 1. assign V401949 = V521905. assign V779068 = V476575 - 1. assign V962912 = V309804. assign V653170 = V476575. assign V665025 = V363644 - 1. assign V860361 = V784198 - 1. assign V382127 = V729397 - 1. assign V729965 = V985350 + 1. assign V247591 = V718865 + 1. assign V605912 = V234429 + 1. assign V959843 = V476575 - 1. assign V774822 = V559210 + 1. assign V966657 = V983072 - 1. assign V520232 = V056944 + 1. assign V453890 = V122027 + 1. assign V559667 = V849953 + 1. assign V243818 = V797930 - 1. assign V820792 = V462001. assign V838481 = V899129 - 1. assign V171189 = V899129 + 1. assign V831999 = V521905 + 1. assign V956666 = V962912. assign V234429 = V171189 - 1. assign V822139 = V887592 - 1. assign V587241 = V763879 + 1. assign V516709 = V135302 + 1. assign V932927 = V309804 + 1. assign V863270 = V208193 + 1. assign V257992 = V381721. assign V887592 = V171189. assign V797248 = V605912 - 1. assign V652548 = V932927 + 1. assign V822645 = V213551 + 1. assign V381721 = V309804 - 1. assign V763879 = V155057 - 1. assign V090863 = V101215. assign V778911 = V987495 + 1. assign V416814 = V797930 + 1. assign V094906 = V093508 - 1. assign V056944 = V234429. assign V431952 = V230622. assign V465738 = V171189. assign V101215 = V613376. assign V600686 = V719859 + 1. assign V849953 = 8. assign V899129 = V228953 - 1. assign V523687 = V247591 + 1. assign V797930 = V899129 + 1. assign V945249 = V027551. assign V588344 = V820792 + 1. assign V522206 = V454462 + 1. assign V476575 = V932927 + 1. assign V093508 = V033263 + 1. assign V155057 = V187900 + 1. assign V361973 = V507931 + 1. assign V507931 = V605912. assign V140047 = V454462 - 1. assign V807724 = V163462. assign V985350 = V838481 + 1. assign V027551 = V228953 + 1. assign V187900 = V382127 - 1. assign V548460 = V160662. assign V373504 = V520232. assign V987495 = V719859. assign V814803 = V784198. assign V119701 = V877901 - 1. assign V221104 = V160662 + 1. assign V067139 = V521905 - 1. assign V598206 = V774822 - 1. assign V352121 = V076492 + 1. assign V521905 = V718865 - 1. assign V077870 = V385918 + 1. assign V197686 = V838481 + 1. assign V033263 = V770890. assign V103954 = V257992. assign V042223 = V956666 + 1. assign V812530 = V090863 + 1. assign V736250 = V719859 + 1. assign V163462 = V831999 + 1. assign V272086 = V140047 - 1. assign V368250 = V587241 + 1. assign V988375 = V187900 + 1. assign V462001 = V479274 - 1. assign V961946 = V088606 - 1. assign V463137 = V160662. assign V729397 = V234429. assign V208193 = V600686 + 1. assign V756317 = V163462. assign V483374 = V493599 + 1. assign V303581 = V146774 + 1. assign V135302 = V056944 - 1. assign V851904 = V487160. assign V474841 = V247591. assign V226436 = V160662. assign V202441 = V363644 - 1. assign V335873 = V729965 + 1. assign V899249 = V863270. assign V002699 = V945249 + 1. assign V493599 = V962912 + 1. assign V110301 = V155057. assign V317757 = V877901. assign V105416 = V718865 - 1. assign V397735 = V887592 + 1. assign V931458 = V797930. assign V379039 = V838481 + 1. assign V309804 = V228953. assign V126126 = V463137 + 1. assign V230622 = V027551. assign V770890 = V838481. assign V521002 = V831999 + 1. assign V088606 = V067139 - 1. assign V213551 = V027551 + 1. assign V767789 = V699566. assign V718865 = V056944 + 1. assign V608163 = V729397 + 1. assign V259178 = V140047 - 1. assign V146774 = V463137 + 1. assign V719859 = V899129 - 1. assign V384273 = V774822. assign V243895 = V820792 - 1. assign V122027 = V521905 - 1. assign V192299 = V548460 - 1. assign V142629 = V521002. assign V891376 = V226436 - 1. assign V876807 = V613376. assign V003707 = V877901 - 1. assign V319853 = V736250. assign V762071 = V056944. assign V623427 = V521905 - 1. assign V233596 = V234429 + 1. assign V292550 = V476575 - 1. assign V816009 = V877901 - 1. assign V364928 = V729965. assign V614031 = V774822 + 1. assign V413900 = V155057 + 1. assign V559210 = V292550 - 1. assign V050049 = V479274. assign V479274 = V155057 - 1. assign V699566 = V548460. assign V406344 = V588344. assign V784198 = V718865. assign V372967 = V838481. assign V747314 = V413900 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV849953 = 8;\n\nFrom these direct assignment(s), we have: \nV559667 = V849953 + 1 = 8 + 1 =9;\nNo other variables can be derived from V559667;\nNo other variables can be derived from V849953;\n\nNow we have done all the calculations. Derived variables are:\nV849953 = 8;\nV559667 = 9;\n\nNow we have finished this problem. ANSWER:\nV559667\n", "role": "assistant" } ]

[ "V597875" ]

[ { "content": "<context>\nassign V547542 = V672828 - 1. assign V014379 = V972199 - 1. assign V907628 = V526078. assign V881080 = V513012 - 1. assign V204116 = V695085 + 1. assign V615918 = V933844. assign V219706 = V513012 - 1. assign V322229 = V347421 + 1. assign V273433 = V005177. assign V135929 = V533833. assign V575639 = V887250 - 1. assign V849234 = V836001. assign V350204 = V131719 - 1. assign V842076 = V278207. assign V926297 = V885898 - 1. assign V578678 = V803865. assign V948648 = V656445 - 1. assign V367236 = V890291 + 1. assign V885898 = V836001 - 1. assign V653333 = V005177 - 1. assign V716452 = V204116. assign V744083 = V306383. assign V146228 = V600624. assign V382335 = V730682 + 1. assign V955575 = V890291. assign V472193 = V238001 + 1. assign V270029 = V142566. assign V178275 = V122142 + 1. assign V371636 = V948648 + 1. assign V210084 = V337038. assign V173163 = V679260 - 1. assign V238001 = V881080. assign V875981 = V937725. assign V288101 = V881080. assign V328928 = V513012 + 1. assign V399795 = V948648 + 1. assign V178482 = V291258 + 1. assign V402939 = V672828. assign V540277 = V048462. assign V048462 = V600624. assign V347421 = V882671 + 1. assign V299591 = V278207 + 1. assign V306383 = V246848. assign V122142 = V672828 + 1. assign V454041 = V498819 - 1. assign V415632 = V395493. assign V533833 = V291258 + 1. assign V464888 = V786868. assign V138160 = V972199. assign V821571 = V498819 + 1. assign V897067 = V816967. assign V873514 = V600624. assign V278207 = V418951. assign V498819 = V513012. assign V097631 = V223387 - 1. assign V708848 = V048462 - 1. assign V943241 = V200191 + 1. assign V447603 = V981407. assign V522430 = V881080 + 1. assign V696386 = V393025 + 1. assign V141803 = V291258 + 1. assign V343963 = V695085 + 1. assign V256157 = V135929 - 1. assign V689056 = V080185. assign V332206 = V696386. assign V200191 = V328928. assign V676645 = V948648. assign V994649 = 7. assign V393025 = V223387 + 1. assign V779739 = V342886 - 1. assign V461390 = V131719. assign V991862 = V393025 - 1. assign V981407 = V498819 + 1. assign V291258 = V498819 + 1. assign V098176 = V635079 + 1. assign V850568 = V926297 - 1. assign V504864 = V881080 + 1. assign V142566 = V504864. assign V695085 = V821571. assign V149666 = V474935 + 1. assign V484951 = V061035 - 1. assign V076697 = V943241. assign V730682 = V223387 + 1. assign V576594 = V350204 + 1. assign V098411 = V498819 + 1. assign V692566 = V365552 + 1. assign V597875 = V994649 + 1. assign V946970 = V882671 - 1. assign V337038 = V547542 + 1. assign V151329 = V708848. assign V175595 = V875981. assign V887250 = V454041 + 1. assign V861862 = V454041 - 1. assign V972199 = V662572 + 1. assign V519935 = V432122 + 1. assign V662572 = V533833. assign V221590 = V122142 + 1. assign V777861 = V347421 - 1. assign V998387 = V274126 + 1. assign V002706 = V365552 + 1. assign V209941 = V972199. assign V635079 = V005177 + 1. assign V635147 = V650136 - 1. assign V103809 = V382335 - 1. assign V395493 = V223387 + 1. assign V727520 = V002706. assign V050622 = V513012. assign V624337 = V991862 - 1. assign V598847 = V061519 + 1. assign V702556 = V991862 - 1. assign V040326 = V464888 + 1. assign V963390 = V040326 - 1. assign V909330 = V365552 + 1. assign V895676 = V656445 - 1. assign V672828 = V600624 - 1. assign V350621 = V927323 + 1. assign V600624 = V897067 - 1. assign V933844 = V498819 + 1. assign V080185 = V219706 - 1. assign V023239 = V730682. assign V703508 = V653333. assign V474935 = V547542 - 1. assign V890291 = V963390 - 1. assign V741056 = V382335. assign V061519 = V816967. assign V824544 = V350204 + 1. assign V816967 = V881080. assign V061035 = V223387 - 1. assign V285391 = V786868 + 1. assign V418951 = V624337 - 1. assign V691574 = V703508. assign V005177 = V050622 + 1. assign V937725 = V498819 - 1. assign V803865 = V600624. assign V290449 = V103809 - 1. assign V342886 = V291258 - 1. assign V246848 = V696386 - 1. assign V319678 = V927323 + 1. assign V488336 = V238001 + 1. assign V432122 = V342886 + 1. assign V396184 = V504864. assign V154845 = V498819 - 1. assign V729460 = V209941 - 1. assign V095389 = V513012 - 1. assign V526078 = V933844. assign V673819 = V319678 - 1. assign V538133 = V464888 + 1. assign V116690 = V540277. assign V679260 = V142566 - 1. assign V274073 = V278207 + 1. assign V326846 = V786868 + 1. assign V265034 = V692566 + 1. assign V076684 = V332206. assign V365552 = V672828 + 1. assign V786868 = V972199 - 1. assign V935744 = V836001 - 1. assign V686229 = V498819 + 1. assign V595978 = V927323. assign V676063 = V691574 - 1. assign V274126 = V513012. assign V399700 = V342886 - 1. assign V927323 = V464888 + 1. assign V836001 = V816967. assign V882671 = V533833. assign V737677 = V396184 + 1. assign V702212 = V278207 + 1. assign V656445 = V504864. assign V650136 = V991862. assign V131719 = V278207. assign V572026 = V050622 - 1. assign V761127 = V730682. assign V223387 = V291258 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V547542 = V672828 - 1. assign V014379 = V972199 - 1. assign V907628 = V526078. assign V881080 = V513012 - 1. assign V204116 = V695085 + 1. assign V615918 = V933844. assign V219706 = V513012 - 1. assign V322229 = V347421 + 1. assign V273433 = V005177. assign V135929 = V533833. assign V575639 = V887250 - 1. assign V849234 = V836001. assign V350204 = V131719 - 1. assign V842076 = V278207. assign V926297 = V885898 - 1. assign V578678 = V803865. assign V948648 = V656445 - 1. assign V367236 = V890291 + 1. assign V885898 = V836001 - 1. assign V653333 = V005177 - 1. assign V716452 = V204116. assign V744083 = V306383. assign V146228 = V600624. assign V382335 = V730682 + 1. assign V955575 = V890291. assign V472193 = V238001 + 1. assign V270029 = V142566. assign V178275 = V122142 + 1. assign V371636 = V948648 + 1. assign V210084 = V337038. assign V173163 = V679260 - 1. assign V238001 = V881080. assign V875981 = V937725. assign V288101 = V881080. assign V328928 = V513012 + 1. assign V399795 = V948648 + 1. assign V178482 = V291258 + 1. assign V402939 = V672828. assign V540277 = V048462. assign V048462 = V600624. assign V347421 = V882671 + 1. assign V299591 = V278207 + 1. assign V306383 = V246848. assign V122142 = V672828 + 1. assign V454041 = V498819 - 1. assign V415632 = V395493. assign V533833 = V291258 + 1. assign V464888 = V786868. assign V138160 = V972199. assign V821571 = V498819 + 1. assign V897067 = V816967. assign V873514 = V600624. assign V278207 = V418951. assign V498819 = V513012. assign V097631 = V223387 - 1. assign V708848 = V048462 - 1. assign V943241 = V200191 + 1. assign V447603 = V981407. assign V522430 = V881080 + 1. assign V696386 = V393025 + 1. assign V141803 = V291258 + 1. assign V343963 = V695085 + 1. assign V256157 = V135929 - 1. assign V689056 = V080185. assign V332206 = V696386. assign V200191 = V328928. assign V676645 = V948648. assign V994649 = 7. assign V393025 = V223387 + 1. assign V779739 = V342886 - 1. assign V461390 = V131719. assign V991862 = V393025 - 1. assign V981407 = V498819 + 1. assign V291258 = V498819 + 1. assign V098176 = V635079 + 1. assign V850568 = V926297 - 1. assign V504864 = V881080 + 1. assign V142566 = V504864. assign V695085 = V821571. assign V149666 = V474935 + 1. assign V484951 = V061035 - 1. assign V076697 = V943241. assign V730682 = V223387 + 1. assign V576594 = V350204 + 1. assign V098411 = V498819 + 1. assign V692566 = V365552 + 1. assign V597875 = V994649 + 1. assign V946970 = V882671 - 1. assign V337038 = V547542 + 1. assign V151329 = V708848. assign V175595 = V875981. assign V887250 = V454041 + 1. assign V861862 = V454041 - 1. assign V972199 = V662572 + 1. assign V519935 = V432122 + 1. assign V662572 = V533833. assign V221590 = V122142 + 1. assign V777861 = V347421 - 1. assign V998387 = V274126 + 1. assign V002706 = V365552 + 1. assign V209941 = V972199. assign V635079 = V005177 + 1. assign V635147 = V650136 - 1. assign V103809 = V382335 - 1. assign V395493 = V223387 + 1. assign V727520 = V002706. assign V050622 = V513012. assign V624337 = V991862 - 1. assign V598847 = V061519 + 1. assign V702556 = V991862 - 1. assign V040326 = V464888 + 1. assign V963390 = V040326 - 1. assign V909330 = V365552 + 1. assign V895676 = V656445 - 1. assign V672828 = V600624 - 1. assign V350621 = V927323 + 1. assign V600624 = V897067 - 1. assign V933844 = V498819 + 1. assign V080185 = V219706 - 1. assign V023239 = V730682. assign V703508 = V653333. assign V474935 = V547542 - 1. assign V890291 = V963390 - 1. assign V741056 = V382335. assign V061519 = V816967. assign V824544 = V350204 + 1. assign V816967 = V881080. assign V061035 = V223387 - 1. assign V285391 = V786868 + 1. assign V418951 = V624337 - 1. assign V691574 = V703508. assign V005177 = V050622 + 1. assign V937725 = V498819 - 1. assign V803865 = V600624. assign V290449 = V103809 - 1. assign V342886 = V291258 - 1. assign V246848 = V696386 - 1. assign V319678 = V927323 + 1. assign V488336 = V238001 + 1. assign V432122 = V342886 + 1. assign V396184 = V504864. assign V154845 = V498819 - 1. assign V729460 = V209941 - 1. assign V095389 = V513012 - 1. assign V526078 = V933844. assign V673819 = V319678 - 1. assign V538133 = V464888 + 1. assign V116690 = V540277. assign V679260 = V142566 - 1. assign V274073 = V278207 + 1. assign V326846 = V786868 + 1. assign V265034 = V692566 + 1. assign V076684 = V332206. assign V365552 = V672828 + 1. assign V786868 = V972199 - 1. assign V935744 = V836001 - 1. assign V686229 = V498819 + 1. assign V595978 = V927323. assign V676063 = V691574 - 1. assign V274126 = V513012. assign V399700 = V342886 - 1. assign V927323 = V464888 + 1. assign V836001 = V816967. assign V882671 = V533833. assign V737677 = V396184 + 1. assign V702212 = V278207 + 1. assign V656445 = V504864. assign V650136 = V991862. assign V131719 = V278207. assign V572026 = V050622 - 1. assign V761127 = V730682. assign V223387 = V291258 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV994649 = 7;\n\nFrom these direct assignment(s), we have: \nV597875 = V994649 + 1 = 7 + 1 =8;\nNo other variables can be derived from V597875;\nNo other variables can be derived from V994649;\n\nNow we have done all the calculations. Derived variables are:\nV994649 = 7;\nV597875 = 8;\n\nNow we have finished this problem. ANSWER:\nV597875\n", "role": "assistant" } ]

[ "V495031" ]

[ { "content": "<context>\nassign V410098 = V518968. assign V849627 = V747219 + 1. assign V665143 = V833854 + 1. assign V904316 = V126057 + 1. assign V087469 = V534599. assign V208284 = V343227 + 1. assign V024964 = V637434. assign V583402 = V113566 - 1. assign V907380 = V534599 + 1. assign V529444 = V989893 + 1. assign V889022 = V147112 - 1. assign V078725 = V385161. assign V301383 = V696030 - 1. assign V069924 = V405986 - 1. assign V856100 = V385161 + 1. assign V786123 = V859950. assign V154065 = V274687 - 1. assign V491877 = V038486 - 1. assign V991205 = V923008. assign V466213 = V448725 - 1. assign V067075 = V793127 - 1. assign V488251 = V781675 - 1. assign V482219 = V987244 - 1. assign V998803 = V518968. assign V478744 = V086801 - 1. assign V611666 = V100976 - 1. assign V987244 = V086801 + 1. assign V956467 = V352287. assign V126057 = V989893 - 1. assign V385161 = V560683. assign V448725 = V038486 - 1. assign V254884 = V043460 - 1. assign V225102 = V989893 + 1. assign V274687 = V987244 + 1. assign V616349 = V987244 + 1. assign V986477 = V405536 - 1. assign V197517 = V994618 + 1. assign V927993 = V973730 + 1. assign V722795 = V448725. assign V092617 = V989893 - 1. assign V838251 = V859950 - 1. assign V859950 = V035343 + 1. assign V696030 = V781675 - 1. assign V089058 = V285730 - 1. assign V781384 = V637434 - 1. assign V362095 = V560683 + 1. assign V364048 = V293926. assign V781675 = V196298. assign V652929 = V650683 + 1. assign V020507 = V225102 - 1. assign V122762 = V430932. assign V727431 = V126057 - 1. assign V147112 = V652929 + 1. assign V655349 = V560683. assign V982549 = V751376 + 1. assign V086801 = V751376. assign V671817 = V518968. assign V239116 = V849560 + 1. assign V249800 = V734859 - 1. assign V035343 = V311142 - 1. assign V269094 = V724390 - 1. assign V311050 = V734859 + 1. assign V640615 = V035343 + 1. assign V245577 = V282611 - 1. assign V059717 = V529444. assign V988309 = V285730 + 1. assign V000632 = V989893 - 1. assign V352287 = V478744 + 1. assign V903856 = V100976 + 1. assign V324141 = V120375 + 1. assign V724390 = V352287 + 1. assign V952710 = V522973. assign V140925 = V781384 - 1. assign V343227 = V786123. assign V430932 = V225102 + 1. assign V973730 = V933337 - 1. assign V311142 = V491877 - 1. assign V071850 = V535620 - 1. assign V112927 = V089058 + 1. assign V235872 = V478744. assign V783728 = 4. assign V707795 = V652929. assign V582258 = V113566. assign V099298 = V989893 - 1. assign V260780 = V907380 - 1. assign V970723 = V986477 - 1. assign V931071 = V858043 - 1. assign V413651 = V952710 + 1. assign V994618 = V989893 + 1. assign V113566 = V781675 - 1. assign V487978 = V385161 + 1. assign V223332 = V099428 - 1. assign V122502 = V793127 - 1. assign V989893 = V751376. assign V745008 = V362095 - 1. assign V794839 = V582258 + 1. assign V726688 = V035343 + 1. assign V773447 = V989893 + 1. assign V129063 = V838251 - 1. assign V422018 = V361301 - 1. assign V793127 = V448725. assign V018137 = V112927 - 1. assign V405536 = V637434 + 1. assign V269023 = V238793 - 1. assign V742435 = V311050 + 1. assign V338523 = V166406 - 1. assign V518968 = V038486. assign V217464 = V378433 - 1. assign V166406 = V491005. assign V420358 = V410098 + 1. assign V509159 = V751376. assign V480245 = V311142. assign V622553 = V856100 - 1. assign V674842 = V650683. assign V522973 = V858043 + 1. assign V491005 = V301383 - 1. assign V923008 = V126057 - 1. assign V361301 = V650683. assign V631024 = V650683 + 1. assign V495031 = V783728 + 1. assign V911912 = V410098 + 1. assign V538235 = V849560 + 1. assign V173566 = V154065. assign V238793 = V099298. assign V756528 = V086801 + 1. assign V731863 = V089058 - 1. assign V405986 = V491877. assign V282611 = V422018 - 1. assign V346619 = V781384 - 1. assign V858043 = V086801. assign V157890 = V043460 + 1. assign V285730 = V430932. assign V099725 = V024964. assign V849560 = V113566 + 1. assign V833854 = V269094. assign V900613 = V254884 - 1. assign V120375 = V781384 + 1. assign V334267 = V518968. assign V676771 = V422018 + 1. assign V426768 = V067075 - 1. assign V535620 = V311142. assign V534599 = V751376 - 1. assign V741066 = V126057 + 1. assign V043460 = V987244 + 1. assign V378433 = V088638 - 1. assign V526836 = V122502 + 1. assign V427851 = V487978 - 1. assign V372947 = V086801 - 1. assign V196298 = V751376 - 1. assign V073355 = V254884. assign V075434 = V745008 + 1. assign V734859 = V478744 - 1. assign V088638 = V722795 + 1. assign V731988 = V482219 - 1. assign V637434 = V650683 - 1. assign V655473 = V509159 + 1. assign V933337 = V196298. assign V094335 = V043460 - 1. assign V560683 = V038486 + 1. assign V862818 = V154065. assign V401702 = V671817 + 1. assign V100976 = V603290 + 1. assign V383988 = V301383 - 1. assign V293926 = V035343 + 1. assign V603290 = V086801. assign V099428 = V352287. assign V331816 = V422018 - 1. assign V747219 = V147112 - 1. assign V889491 = V099428. assign V038486 = V751376 - 1. assign V650683 = V616349 - 1. assign V666930 = V094335.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V410098 = V518968. assign V849627 = V747219 + 1. assign V665143 = V833854 + 1. assign V904316 = V126057 + 1. assign V087469 = V534599. assign V208284 = V343227 + 1. assign V024964 = V637434. assign V583402 = V113566 - 1. assign V907380 = V534599 + 1. assign V529444 = V989893 + 1. assign V889022 = V147112 - 1. assign V078725 = V385161. assign V301383 = V696030 - 1. assign V069924 = V405986 - 1. assign V856100 = V385161 + 1. assign V786123 = V859950. assign V154065 = V274687 - 1. assign V491877 = V038486 - 1. assign V991205 = V923008. assign V466213 = V448725 - 1. assign V067075 = V793127 - 1. assign V488251 = V781675 - 1. assign V482219 = V987244 - 1. assign V998803 = V518968. assign V478744 = V086801 - 1. assign V611666 = V100976 - 1. assign V987244 = V086801 + 1. assign V956467 = V352287. assign V126057 = V989893 - 1. assign V385161 = V560683. assign V448725 = V038486 - 1. assign V254884 = V043460 - 1. assign V225102 = V989893 + 1. assign V274687 = V987244 + 1. assign V616349 = V987244 + 1. assign V986477 = V405536 - 1. assign V197517 = V994618 + 1. assign V927993 = V973730 + 1. assign V722795 = V448725. assign V092617 = V989893 - 1. assign V838251 = V859950 - 1. assign V859950 = V035343 + 1. assign V696030 = V781675 - 1. assign V089058 = V285730 - 1. assign V781384 = V637434 - 1. assign V362095 = V560683 + 1. assign V364048 = V293926. assign V781675 = V196298. assign V652929 = V650683 + 1. assign V020507 = V225102 - 1. assign V122762 = V430932. assign V727431 = V126057 - 1. assign V147112 = V652929 + 1. assign V655349 = V560683. assign V982549 = V751376 + 1. assign V086801 = V751376. assign V671817 = V518968. assign V239116 = V849560 + 1. assign V249800 = V734859 - 1. assign V035343 = V311142 - 1. assign V269094 = V724390 - 1. assign V311050 = V734859 + 1. assign V640615 = V035343 + 1. assign V245577 = V282611 - 1. assign V059717 = V529444. assign V988309 = V285730 + 1. assign V000632 = V989893 - 1. assign V352287 = V478744 + 1. assign V903856 = V100976 + 1. assign V324141 = V120375 + 1. assign V724390 = V352287 + 1. assign V952710 = V522973. assign V140925 = V781384 - 1. assign V343227 = V786123. assign V430932 = V225102 + 1. assign V973730 = V933337 - 1. assign V311142 = V491877 - 1. assign V071850 = V535620 - 1. assign V112927 = V089058 + 1. assign V235872 = V478744. assign V783728 = 4. assign V707795 = V652929. assign V582258 = V113566. assign V099298 = V989893 - 1. assign V260780 = V907380 - 1. assign V970723 = V986477 - 1. assign V931071 = V858043 - 1. assign V413651 = V952710 + 1. assign V994618 = V989893 + 1. assign V113566 = V781675 - 1. assign V487978 = V385161 + 1. assign V223332 = V099428 - 1. assign V122502 = V793127 - 1. assign V989893 = V751376. assign V745008 = V362095 - 1. assign V794839 = V582258 + 1. assign V726688 = V035343 + 1. assign V773447 = V989893 + 1. assign V129063 = V838251 - 1. assign V422018 = V361301 - 1. assign V793127 = V448725. assign V018137 = V112927 - 1. assign V405536 = V637434 + 1. assign V269023 = V238793 - 1. assign V742435 = V311050 + 1. assign V338523 = V166406 - 1. assign V518968 = V038486. assign V217464 = V378433 - 1. assign V166406 = V491005. assign V420358 = V410098 + 1. assign V509159 = V751376. assign V480245 = V311142. assign V622553 = V856100 - 1. assign V674842 = V650683. assign V522973 = V858043 + 1. assign V491005 = V301383 - 1. assign V923008 = V126057 - 1. assign V361301 = V650683. assign V631024 = V650683 + 1. assign V495031 = V783728 + 1. assign V911912 = V410098 + 1. assign V538235 = V849560 + 1. assign V173566 = V154065. assign V238793 = V099298. assign V756528 = V086801 + 1. assign V731863 = V089058 - 1. assign V405986 = V491877. assign V282611 = V422018 - 1. assign V346619 = V781384 - 1. assign V858043 = V086801. assign V157890 = V043460 + 1. assign V285730 = V430932. assign V099725 = V024964. assign V849560 = V113566 + 1. assign V833854 = V269094. assign V900613 = V254884 - 1. assign V120375 = V781384 + 1. assign V334267 = V518968. assign V676771 = V422018 + 1. assign V426768 = V067075 - 1. assign V535620 = V311142. assign V534599 = V751376 - 1. assign V741066 = V126057 + 1. assign V043460 = V987244 + 1. assign V378433 = V088638 - 1. assign V526836 = V122502 + 1. assign V427851 = V487978 - 1. assign V372947 = V086801 - 1. assign V196298 = V751376 - 1. assign V073355 = V254884. assign V075434 = V745008 + 1. assign V734859 = V478744 - 1. assign V088638 = V722795 + 1. assign V731988 = V482219 - 1. assign V637434 = V650683 - 1. assign V655473 = V509159 + 1. assign V933337 = V196298. assign V094335 = V043460 - 1. assign V560683 = V038486 + 1. assign V862818 = V154065. assign V401702 = V671817 + 1. assign V100976 = V603290 + 1. assign V383988 = V301383 - 1. assign V293926 = V035343 + 1. assign V603290 = V086801. assign V099428 = V352287. assign V331816 = V422018 - 1. assign V747219 = V147112 - 1. assign V889491 = V099428. assign V038486 = V751376 - 1. assign V650683 = V616349 - 1. assign V666930 = V094335.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV783728 = 4;\n\nFrom these direct assignment(s), we have: \nV495031 = V783728 + 1 = 4 + 1 =5;\nNo other variables can be derived from V495031;\nNo other variables can be derived from V783728;\n\nNow we have done all the calculations. Derived variables are:\nV783728 = 4;\nV495031 = 5;\n\nNow we have finished this problem. ANSWER:\nV495031\n", "role": "assistant" } ]

[ "V146003" ]

[ { "content": "<context>\nassign V697916 = V343445 - 1. assign V743036 = V160275. assign V533837 = V323492. assign V934860 = V294662 + 1. assign V037717 = V414987 - 1. assign V799154 = V668477 - 1. assign V430376 = V017389 + 1. assign V971613 = V435404 + 1. assign V182919 = V737753 - 1. assign V756554 = V986288. assign V265533 = V323492. assign V593368 = V668477. assign V711589 = V133022. assign V690066 = V620041 + 1. assign V116582 = V892074 + 1. assign V444922 = V737753 - 1. assign V668477 = V972404 - 1. assign V079478 = V704536 + 1. assign V150718 = V005146. assign V245045 = V873637. assign V085503 = V892074 + 1. assign V414987 = V182154. assign V209698 = V075428 - 1. assign V188156 = V892074 - 1. assign V323492 = V873637 + 1. assign V759902 = V059989 - 1. assign V662332 = V704536 + 1. assign V354460 = V972404 - 1. assign V559455 = V393078 - 1. assign V648961 = V892074 - 1. assign V802952 = V383249 + 1. assign V740096 = V799154. assign V042336 = V737753 - 1. assign V347619 = V391407 - 1. assign V768224 = V138807 - 1. assign V986288 = V799154 - 1. assign V391407 = V383249 - 1. assign V241818 = V756554 + 1. assign V789534 = V968968 + 1. assign V105621 = V379841 - 1. assign V678472 = V079478 + 1. assign V174295 = V026813 - 1. assign V058065 = V105621 + 1. assign V356050 = V379841 - 1. assign V547301 = V075428 + 1. assign V971026 = V704536. assign V176262 = V990740 - 1. assign V967158 = V030865 - 1. assign V294662 = V133022 - 1. assign V769224 = V053338. assign V638859 = V151409 + 1. assign V017510 = V846685 + 1. assign V290101 = V134421 + 1. assign V547648 = V182154 + 1. assign V083820 = V690066 + 1. assign V005146 = V138807 + 1. assign V343445 = V873637. assign V777169 = V590823. assign V795104 = V664041. assign V059989 = V105621 - 1. assign V592904 = V615688 - 1. assign V427750 = V477757. assign V990740 = V970602 - 1. assign V017389 = V138807 - 1. assign V324904 = V105621 + 1. assign V591326 = V414987 + 1. assign V138807 = V379841 + 1. assign V064893 = V711589 - 1. assign V026813 = V815053. assign V507865 = V662332. assign V674078 = V059989 + 1. assign V660238 = V017389 - 1. assign V075428 = V133022 - 1. assign V060948 = V612953 - 1. assign V192498 = V209698 + 1. assign V765335 = V664041 + 1. assign V972404 = V393078 - 1. assign V678764 = V383249 - 1. assign V759497 = V105621 + 1. assign V101396 = V456319 + 1. assign V948338 = V704536. assign V459240 = V855374 - 1. assign V176204 = V374025 + 1. assign V868586 = V356050 + 1. assign V774294 = V855374. assign V752552 = V030865. assign V457643 = V971613 - 1. assign V873637 = V711589 + 1. assign V612953 = V133022 + 1. assign V704536 = V612953 - 1. assign V355005 = V737753 - 1. assign V970602 = V379841 - 1. assign V493572 = V844284 + 1. assign V187166 = V664041. assign V160275 = V547648 + 1. assign V546056 = V281106 + 1. assign V674882 = V005146 + 1. assign V492605 = V968968 + 1. assign V514676 = V615688. assign V309143 = V514676 - 1. assign V825748 = V609767. assign V539943 = V379841 + 1. assign V859851 = V393078. assign V451469 = V060948. assign V057845 = V042336. assign V577172 = V189157 - 1. assign V281106 = V356050. assign V593348 = V593368 + 1. assign V134421 = V383249. assign V846685 = V323492 + 1. assign V030865 = V075428. assign V944913 = 7. assign V932005 = V556583 - 1. assign V463221 = V290101 + 1. assign V844284 = V188156. assign V027736 = V064893. assign V737753 = V138807 - 1. assign V153805 = V664041. assign V664041 = V590823 + 1. assign V488076 = V105621 + 1. assign V666701 = V514676. assign V146003 = V944913 + 1. assign V473216 = V711589. assign V364054 = V383249 + 1. assign V601461 = V391407 - 1. assign V609767 = V674078. assign V620041 = V879199 - 1. assign V189157 = V324904 + 1. assign V176856 = V188156 - 1. assign V977668 = V879199 + 1. assign V590823 = V383249 - 1. assign V968968 = V873637 - 1. assign V607291 = V648961 - 1. assign V504172 = V879199. assign V982335 = V846685 + 1. assign V486145 = V374025 - 1. assign V335118 = V802952. assign V948512 = V493572. assign V151409 = V138807 - 1. assign V170754 = V371128 + 1. assign V133022 = V379841 + 1. assign V615688 = V383249 + 1. assign V569415 = V968968 + 1. assign V556583 = V674078 - 1. assign V066734 = V977668. assign V842851 = V971026 + 1. assign V879199 = V711589 + 1. assign V875010 = V324904 + 1. assign V393078 = V612953 + 1. assign V855374 = V393078 + 1. assign V892074 = V737753 - 1. assign V526906 = V138807 + 1. assign V435404 = V309143 - 1. assign V815053 = V488076. assign V374025 = V756554 + 1. assign V456319 = V379841 - 1. assign V521200 = V590823 - 1. assign V182154 = V593348 - 1. assign V919179 = V559455 - 1. assign V992383 = V666701 - 1. assign V940374 = V059989. assign V918756 = V435404 + 1. assign V831135 = V756554 - 1. assign V383249 = V379841. assign V200993 = V189157 + 1. assign V371128 = V815053. assign V934753 = V711589. assign V477757 = V053338. assign V762759 = V451469. assign V053338 = V737753 + 1. assign V071000 = V990740 + 1. assign V032429 = V187166.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V697916 = V343445 - 1. assign V743036 = V160275. assign V533837 = V323492. assign V934860 = V294662 + 1. assign V037717 = V414987 - 1. assign V799154 = V668477 - 1. assign V430376 = V017389 + 1. assign V971613 = V435404 + 1. assign V182919 = V737753 - 1. assign V756554 = V986288. assign V265533 = V323492. assign V593368 = V668477. assign V711589 = V133022. assign V690066 = V620041 + 1. assign V116582 = V892074 + 1. assign V444922 = V737753 - 1. assign V668477 = V972404 - 1. assign V079478 = V704536 + 1. assign V150718 = V005146. assign V245045 = V873637. assign V085503 = V892074 + 1. assign V414987 = V182154. assign V209698 = V075428 - 1. assign V188156 = V892074 - 1. assign V323492 = V873637 + 1. assign V759902 = V059989 - 1. assign V662332 = V704536 + 1. assign V354460 = V972404 - 1. assign V559455 = V393078 - 1. assign V648961 = V892074 - 1. assign V802952 = V383249 + 1. assign V740096 = V799154. assign V042336 = V737753 - 1. assign V347619 = V391407 - 1. assign V768224 = V138807 - 1. assign V986288 = V799154 - 1. assign V391407 = V383249 - 1. assign V241818 = V756554 + 1. assign V789534 = V968968 + 1. assign V105621 = V379841 - 1. assign V678472 = V079478 + 1. assign V174295 = V026813 - 1. assign V058065 = V105621 + 1. assign V356050 = V379841 - 1. assign V547301 = V075428 + 1. assign V971026 = V704536. assign V176262 = V990740 - 1. assign V967158 = V030865 - 1. assign V294662 = V133022 - 1. assign V769224 = V053338. assign V638859 = V151409 + 1. assign V017510 = V846685 + 1. assign V290101 = V134421 + 1. assign V547648 = V182154 + 1. assign V083820 = V690066 + 1. assign V005146 = V138807 + 1. assign V343445 = V873637. assign V777169 = V590823. assign V795104 = V664041. assign V059989 = V105621 - 1. assign V592904 = V615688 - 1. assign V427750 = V477757. assign V990740 = V970602 - 1. assign V017389 = V138807 - 1. assign V324904 = V105621 + 1. assign V591326 = V414987 + 1. assign V138807 = V379841 + 1. assign V064893 = V711589 - 1. assign V026813 = V815053. assign V507865 = V662332. assign V674078 = V059989 + 1. assign V660238 = V017389 - 1. assign V075428 = V133022 - 1. assign V060948 = V612953 - 1. assign V192498 = V209698 + 1. assign V765335 = V664041 + 1. assign V972404 = V393078 - 1. assign V678764 = V383249 - 1. assign V759497 = V105621 + 1. assign V101396 = V456319 + 1. assign V948338 = V704536. assign V459240 = V855374 - 1. assign V176204 = V374025 + 1. assign V868586 = V356050 + 1. assign V774294 = V855374. assign V752552 = V030865. assign V457643 = V971613 - 1. assign V873637 = V711589 + 1. assign V612953 = V133022 + 1. assign V704536 = V612953 - 1. assign V355005 = V737753 - 1. assign V970602 = V379841 - 1. assign V493572 = V844284 + 1. assign V187166 = V664041. assign V160275 = V547648 + 1. assign V546056 = V281106 + 1. assign V674882 = V005146 + 1. assign V492605 = V968968 + 1. assign V514676 = V615688. assign V309143 = V514676 - 1. assign V825748 = V609767. assign V539943 = V379841 + 1. assign V859851 = V393078. assign V451469 = V060948. assign V057845 = V042336. assign V577172 = V189157 - 1. assign V281106 = V356050. assign V593348 = V593368 + 1. assign V134421 = V383249. assign V846685 = V323492 + 1. assign V030865 = V075428. assign V944913 = 7. assign V932005 = V556583 - 1. assign V463221 = V290101 + 1. assign V844284 = V188156. assign V027736 = V064893. assign V737753 = V138807 - 1. assign V153805 = V664041. assign V664041 = V590823 + 1. assign V488076 = V105621 + 1. assign V666701 = V514676. assign V146003 = V944913 + 1. assign V473216 = V711589. assign V364054 = V383249 + 1. assign V601461 = V391407 - 1. assign V609767 = V674078. assign V620041 = V879199 - 1. assign V189157 = V324904 + 1. assign V176856 = V188156 - 1. assign V977668 = V879199 + 1. assign V590823 = V383249 - 1. assign V968968 = V873637 - 1. assign V607291 = V648961 - 1. assign V504172 = V879199. assign V982335 = V846685 + 1. assign V486145 = V374025 - 1. assign V335118 = V802952. assign V948512 = V493572. assign V151409 = V138807 - 1. assign V170754 = V371128 + 1. assign V133022 = V379841 + 1. assign V615688 = V383249 + 1. assign V569415 = V968968 + 1. assign V556583 = V674078 - 1. assign V066734 = V977668. assign V842851 = V971026 + 1. assign V879199 = V711589 + 1. assign V875010 = V324904 + 1. assign V393078 = V612953 + 1. assign V855374 = V393078 + 1. assign V892074 = V737753 - 1. assign V526906 = V138807 + 1. assign V435404 = V309143 - 1. assign V815053 = V488076. assign V374025 = V756554 + 1. assign V456319 = V379841 - 1. assign V521200 = V590823 - 1. assign V182154 = V593348 - 1. assign V919179 = V559455 - 1. assign V992383 = V666701 - 1. assign V940374 = V059989. assign V918756 = V435404 + 1. assign V831135 = V756554 - 1. assign V383249 = V379841. assign V200993 = V189157 + 1. assign V371128 = V815053. assign V934753 = V711589. assign V477757 = V053338. assign V762759 = V451469. assign V053338 = V737753 + 1. assign V071000 = V990740 + 1. assign V032429 = V187166.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV944913 = 7;\n\nFrom these direct assignment(s), we have: \nV146003 = V944913 + 1 = 7 + 1 =8;\nNo other variables can be derived from V146003;\nNo other variables can be derived from V944913;\n\nNow we have done all the calculations. Derived variables are:\nV944913 = 7;\nV146003 = 8;\n\nNow we have finished this problem. ANSWER:\nV146003\n", "role": "assistant" } ]

[ "V523523" ]

[ { "content": "<context>\nassign V325312 = V748700 - 1. assign V589278 = V988995 - 1. assign V228517 = V310140. assign V500576 = V797169 - 1. assign V893441 = V172000 - 1. assign V172000 = V934159 - 1. assign V411976 = V293877 - 1. assign V796531 = V221893. assign V986436 = V415863 - 1. assign V625987 = V093695 + 1. assign V797169 = V934159 - 1. assign V385711 = V718593 - 1. assign V273267 = V761218 + 1. assign V543341 = V348145 + 1. assign V573407 = V538556. assign V718228 = V656745. assign V310140 = V561922 + 1. assign V523523 = 8. assign V092294 = V289039. assign V110613 = V749013 + 1. assign V581694 = V400568 + 1. assign V014137 = V249083. assign V526105 = V761218 - 1. assign V329212 = V206211 - 1. assign V053571 = V639764 + 1. assign V585043 = V543157. assign V206211 = V424930 - 1. assign V452551 = V206211 + 1. assign V762587 = V934159 - 1. assign V857865 = V771500 - 1. assign V934159 = V273267 + 1. assign V221893 = V172000 - 1. assign V202104 = V771500 - 1. assign V065168 = V961194 + 1. assign V884116 = V993968 + 1. assign V052836 = V375463. assign V007317 = V639764 + 1. assign V461896 = V287762. assign V777371 = V905430 + 1. assign V290808 = V573407 + 1. assign V015717 = V612601. assign V073640 = V780199 + 1. assign V480501 = V329212. assign V905430 = V388675 - 1. assign V908666 = V364716 - 1. assign V914573 = V513459 - 1. assign V773947 = V986436 + 1. assign V610644 = V348145 + 1. assign V749013 = V762587 + 1. assign V701298 = V092212 - 1. assign V761218 = V289039. assign V348145 = V773947 + 1. assign V771500 = V879526 - 1. assign V850871 = V092294 + 1. assign V839789 = V884874. assign V662007 = V514814 + 1. assign V509306 = V686453. assign V158155 = V148888 + 1. assign V885552 = V934159 - 1. assign V286085 = V879526 + 1. assign V543157 = V259362. assign V609732 = V388675 + 1. assign V788286 = V289039. assign V259362 = V612601. assign V437101 = V289039. assign V956390 = V516312 + 1. assign V669122 = V771500 - 1. assign V516312 = V863683 - 1. assign V664740 = V941708 - 1. assign V842123 = V181155 - 1. assign V454821 = V945948. assign V424930 = V761218 + 1. assign V249083 = V375463 - 1. assign V181684 = V052836. assign V093695 = V516312 - 1. assign V945948 = V500576 + 1. assign V098987 = V500289 - 1. assign V684720 = V543157. assign V673408 = V573407 - 1. assign V109353 = V879526 + 1. assign V293877 = V986436. assign V148888 = V296969. assign V396584 = V609732. assign V894046 = V649008 + 1. assign V500289 = V514814 + 1. assign V472395 = V552517 - 1. assign V013868 = V289039. assign V559209 = V452551 - 1. assign V649008 = V993968 - 1. assign V192206 = V793550. assign V295318 = V286085. assign V876823 = V249083. assign V092212 = V015717 - 1. assign V793550 = V388675. assign V884874 = V914573. assign V038760 = V986436 + 1. assign V941708 = V561922. assign V639661 = V286085 - 1. assign V296969 = V139666. assign V487547 = V523523 - 1. assign V248379 = V859016 + 1. assign V094492 = V749013 + 1. assign V518878 = V310140 + 1. assign V120125 = V526105. assign V199771 = V718593 - 1. assign V612601 = V986436 + 1. assign V605879 = V561922. assign V256314 = V172000 - 1. assign V139666 = V934159. assign V002962 = V293877 - 1. assign V446998 = V748700. assign V287762 = V013868 - 1. assign V513459 = V859016 - 1. assign V364716 = V286085 + 1. assign V401147 = V761218 + 1. assign V155440 = V109353. assign V987026 = V518878. assign V552517 = V762587. assign V567715 = V762587 - 1. assign V330426 = V908666. assign V644571 = V619491. assign V103717 = V092212 + 1. assign V519526 = V561922 - 1. assign V375463 = V773947 + 1. assign V780199 = V094492. assign V538556 = V213036 - 1. assign V988995 = V885552. assign V296465 = V988995. assign V619491 = V148888 + 1. assign V686453 = V866725. assign V223897 = V286085 + 1. assign V748700 = V213036. assign V859016 = V415863 + 1. assign V805495 = V181684. assign V866725 = V375463 - 1. assign V863683 = V213036 + 1. assign V718593 = V797169. assign V039361 = V375463 - 1. assign V400568 = V213036. assign V091114 = V561922 + 1. assign V874137 = V172000 - 1. assign V594007 = V609732 - 1. assign V571985 = V329212 + 1. assign V213036 = V934159 + 1. assign V144779 = V701298 + 1. assign V416542 = V771500. assign V745095 = V144406 - 1. assign V563376 = V293877 + 1. assign V144406 = V139666 - 1. assign V137024 = V013868. assign V656745 = V500289. assign V306718 = V199771 - 1. assign V993968 = V762587 - 1. assign V728007 = V416542 - 1. assign V753921 = V424930 + 1. assign V415863 = V289039 - 1. assign V488532 = V248379 - 1. assign V830986 = V993968. assign V961194 = V793550 - 1. assign V988693 = V993968. assign V444670 = V038760. assign V168472 = V172000 - 1. assign V444162 = V748700 - 1. assign V798021 = V669122 - 1. assign V388675 = V415863. assign V879526 = V761218 - 1. assign V514814 = V538556. assign V181155 = V293877 - 1. assign V639764 = V364716 + 1. assign V816245 = V610644 - 1. assign V626543 = V444670 - 1. assign V561922 = V388675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V325312 = V748700 - 1. assign V589278 = V988995 - 1. assign V228517 = V310140. assign V500576 = V797169 - 1. assign V893441 = V172000 - 1. assign V172000 = V934159 - 1. assign V411976 = V293877 - 1. assign V796531 = V221893. assign V986436 = V415863 - 1. assign V625987 = V093695 + 1. assign V797169 = V934159 - 1. assign V385711 = V718593 - 1. assign V273267 = V761218 + 1. assign V543341 = V348145 + 1. assign V573407 = V538556. assign V718228 = V656745. assign V310140 = V561922 + 1. assign V523523 = 8. assign V092294 = V289039. assign V110613 = V749013 + 1. assign V581694 = V400568 + 1. assign V014137 = V249083. assign V526105 = V761218 - 1. assign V329212 = V206211 - 1. assign V053571 = V639764 + 1. assign V585043 = V543157. assign V206211 = V424930 - 1. assign V452551 = V206211 + 1. assign V762587 = V934159 - 1. assign V857865 = V771500 - 1. assign V934159 = V273267 + 1. assign V221893 = V172000 - 1. assign V202104 = V771500 - 1. assign V065168 = V961194 + 1. assign V884116 = V993968 + 1. assign V052836 = V375463. assign V007317 = V639764 + 1. assign V461896 = V287762. assign V777371 = V905430 + 1. assign V290808 = V573407 + 1. assign V015717 = V612601. assign V073640 = V780199 + 1. assign V480501 = V329212. assign V905430 = V388675 - 1. assign V908666 = V364716 - 1. assign V914573 = V513459 - 1. assign V773947 = V986436 + 1. assign V610644 = V348145 + 1. assign V749013 = V762587 + 1. assign V701298 = V092212 - 1. assign V761218 = V289039. assign V348145 = V773947 + 1. assign V771500 = V879526 - 1. assign V850871 = V092294 + 1. assign V839789 = V884874. assign V662007 = V514814 + 1. assign V509306 = V686453. assign V158155 = V148888 + 1. assign V885552 = V934159 - 1. assign V286085 = V879526 + 1. assign V543157 = V259362. assign V609732 = V388675 + 1. assign V788286 = V289039. assign V259362 = V612601. assign V437101 = V289039. assign V956390 = V516312 + 1. assign V669122 = V771500 - 1. assign V516312 = V863683 - 1. assign V664740 = V941708 - 1. assign V842123 = V181155 - 1. assign V454821 = V945948. assign V424930 = V761218 + 1. assign V249083 = V375463 - 1. assign V181684 = V052836. assign V093695 = V516312 - 1. assign V945948 = V500576 + 1. assign V098987 = V500289 - 1. assign V684720 = V543157. assign V673408 = V573407 - 1. assign V109353 = V879526 + 1. assign V293877 = V986436. assign V148888 = V296969. assign V396584 = V609732. assign V894046 = V649008 + 1. assign V500289 = V514814 + 1. assign V472395 = V552517 - 1. assign V013868 = V289039. assign V559209 = V452551 - 1. assign V649008 = V993968 - 1. assign V192206 = V793550. assign V295318 = V286085. assign V876823 = V249083. assign V092212 = V015717 - 1. assign V793550 = V388675. assign V884874 = V914573. assign V038760 = V986436 + 1. assign V941708 = V561922. assign V639661 = V286085 - 1. assign V296969 = V139666. assign V487547 = V523523 - 1. assign V248379 = V859016 + 1. assign V094492 = V749013 + 1. assign V518878 = V310140 + 1. assign V120125 = V526105. assign V199771 = V718593 - 1. assign V612601 = V986436 + 1. assign V605879 = V561922. assign V256314 = V172000 - 1. assign V139666 = V934159. assign V002962 = V293877 - 1. assign V446998 = V748700. assign V287762 = V013868 - 1. assign V513459 = V859016 - 1. assign V364716 = V286085 + 1. assign V401147 = V761218 + 1. assign V155440 = V109353. assign V987026 = V518878. assign V552517 = V762587. assign V567715 = V762587 - 1. assign V330426 = V908666. assign V644571 = V619491. assign V103717 = V092212 + 1. assign V519526 = V561922 - 1. assign V375463 = V773947 + 1. assign V780199 = V094492. assign V538556 = V213036 - 1. assign V988995 = V885552. assign V296465 = V988995. assign V619491 = V148888 + 1. assign V686453 = V866725. assign V223897 = V286085 + 1. assign V748700 = V213036. assign V859016 = V415863 + 1. assign V805495 = V181684. assign V866725 = V375463 - 1. assign V863683 = V213036 + 1. assign V718593 = V797169. assign V039361 = V375463 - 1. assign V400568 = V213036. assign V091114 = V561922 + 1. assign V874137 = V172000 - 1. assign V594007 = V609732 - 1. assign V571985 = V329212 + 1. assign V213036 = V934159 + 1. assign V144779 = V701298 + 1. assign V416542 = V771500. assign V745095 = V144406 - 1. assign V563376 = V293877 + 1. assign V144406 = V139666 - 1. assign V137024 = V013868. assign V656745 = V500289. assign V306718 = V199771 - 1. assign V993968 = V762587 - 1. assign V728007 = V416542 - 1. assign V753921 = V424930 + 1. assign V415863 = V289039 - 1. assign V488532 = V248379 - 1. assign V830986 = V993968. assign V961194 = V793550 - 1. assign V988693 = V993968. assign V444670 = V038760. assign V168472 = V172000 - 1. assign V444162 = V748700 - 1. assign V798021 = V669122 - 1. assign V388675 = V415863. assign V879526 = V761218 - 1. assign V514814 = V538556. assign V181155 = V293877 - 1. assign V639764 = V364716 + 1. assign V816245 = V610644 - 1. assign V626543 = V444670 - 1. assign V561922 = V388675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV523523 = 8;\n\nFrom these direct assignment(s), we have: \nV487547 = V523523 - 1 = 8 - 1 =7;\nNo other variables can be derived from V487547;\nNo other variables can be derived from V523523;\n\nNow we have done all the calculations. Derived variables are:\nV523523 = 8;\nV487547 = 7;\n\nNow we have finished this problem. ANSWER:\nV523523\n", "role": "assistant" } ]

[ "V571780" ]

[ { "content": "<context>\nassign V995435 = V391437 - 1. assign V130619 = V681242. assign V172890 = V741874. assign V568726 = V662795 + 1. assign V185354 = V210329 + 1. assign V538348 = V886390. assign V494324 = V135083. assign V838660 = V809454. assign V291310 = V886390 + 1. assign V042574 = V886390 - 1. assign V270950 = V132795 + 1. assign V162897 = V980177 - 1. assign V950857 = V432183 + 1. assign V931440 = V912832. assign V069057 = V746468. assign V458538 = V132086 + 1. assign V826087 = V132795 + 1. assign V867767 = V203953. assign V470999 = V741874. assign V210329 = V743928 - 1. assign V384354 = V935046 + 1. assign V126995 = V177735. assign V287762 = V782795 - 1. assign V061388 = V070660. assign V506520 = V132795 + 1. assign V061982 = V600497 - 1. assign V746468 = V935833. assign V358648 = V811431 + 1. assign V778960 = V780384. assign V135083 = V132795 + 1. assign V001660 = V974710. assign V253991 = V132795 - 1. assign V589705 = V375417 + 1. assign V432183 = V375417. assign V780920 = V761942 + 1. assign V441144 = V410494 + 1. assign V670974 = V806682 + 1. assign V929632 = V069057. assign V957510 = V662795 + 1. assign V769639 = V776217 - 1. assign V795036 = V712324. assign V587246 = V895816 + 1. assign V017702 = V069057 + 1. assign V070660 = V614875 - 1. assign V472617 = V776217. assign V074916 = V746468 + 1. assign V951545 = V950857 - 1. assign V814791 = V237546 - 1. assign V410494 = V494324 - 1. assign V375417 = V275139 + 1. assign V394631 = V761942 + 1. assign V935833 = V741874 - 1. assign V892482 = V671950 - 1. assign V743928 = V600497 + 1. assign V600497 = V662795. assign V642811 = V237546 + 1. assign V671950 = V212679 - 1. assign V860307 = V600497 - 1. assign V646394 = V166035 - 1. assign V835188 = V778960. assign V614875 = V172890 + 1. assign V872965 = V642811 - 1. assign V616398 = V741874. assign V385677 = V809454. assign V309732 = V470999 - 1. assign V774855 = V806332 + 1. assign V305752 = V470999 - 1. assign V430119 = V565964 - 1. assign V398906 = V237546 + 1. assign V791126 = V741627. assign V643319 = V571780 - 1. assign V980177 = V935833 + 1. assign V390293 = V870196. assign V806332 = V350030. assign V765814 = V685133. assign V270632 = V472617. assign V662795 = V375417. assign V565964 = V912832. assign V865715 = V231125 + 1. assign V067656 = V444226 + 1. assign V992369 = V394631 + 1. assign V782795 = V307206 + 1. assign V571780 = 8. assign V930917 = V931440. assign V132795 = V275139. assign V780384 = V070660. assign V000531 = V385677 + 1. assign V974538 = V287762 - 1. assign V018962 = V846860 - 1. assign V434382 = V270950 + 1. assign V458658 = V912832. assign V858442 = V614875 - 1. assign V741514 = V790306 - 1. assign V831273 = V614875 - 1. assign V184773 = V275139 - 1. assign V692455 = V070660 - 1. assign V541751 = V132795 + 1. assign V635488 = V733578 - 1. assign V928577 = V912832. assign V463895 = V177735 + 1. assign V212679 = V935833 - 1. assign V307206 = V801333 - 1. assign V350030 = V126995 + 1. assign V689068 = V231125 + 1. assign V806682 = V210329 + 1. assign V830411 = V130619. assign V507647 = V432183 - 1. assign V631236 = V912832. assign V445243 = V470999. assign V886390 = V275139 - 1. assign V712324 = V863112 - 1. assign V123022 = V309732. assign V412480 = V616398 - 1. assign V892748 = V177735 + 1. assign V685133 = V458658 + 1. assign V935046 = V645350 + 1. assign V415335 = V375417 - 1. assign V733578 = V126995. assign V571382 = V778960. assign V956970 = V058286 + 1. assign V551561 = V061982. assign V237546 = V614875 - 1. assign V895816 = V780384 + 1. assign V658190 = V172890 - 1. assign V310708 = V445243. assign V741627 = V444226 - 1. assign V863112 = V275139 + 1. assign V761942 = V863112 - 1. assign V110438 = V234862 - 1. assign V234862 = V445243 + 1. assign V866594 = V974710 + 1. assign V790306 = V935833 + 1. assign V328233 = V458658 - 1. assign V919242 = V305752. assign V811431 = V935833 - 1. assign V912832 = V470999 - 1. assign V177735 = V858442 + 1. assign V132086 = V831273. assign V745540 = V928577. assign V066720 = V358648 - 1. assign V631747 = V673878. assign V776217 = V391437 - 1. assign V371044 = V352880 - 1. assign V391437 = V375417. assign V203953 = V328233. assign V444226 = V275139 - 1. assign V810636 = V253991. assign V205730 = V132086 - 1. assign V628789 = V931440. assign V170957 = V741874. assign V693340 = V743928. assign V681242 = V741874. assign V058286 = V741627 - 1. assign V466220 = V135083 + 1. assign V846860 = V398906 + 1. assign V166035 = V070660 - 1. assign V275139 = V681242. assign V974710 = V733578 - 1. assign V522028 = V587246 - 1. assign V352880 = V132795. assign V673878 = V237546 - 1. assign V840372 = V712324 - 1. assign V568931 = V375417 + 1. assign V801333 = V886390 - 1. assign V881643 = V385677 - 1. assign V197748 = V212679 + 1. assign V231125 = V831273 + 1. assign V809454 = V275139. assign V617529 = V070660 - 1. assign V978564 = V892748 - 1. assign V870196 = V974710 + 1. assign V645350 = V886390 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V995435 = V391437 - 1. assign V130619 = V681242. assign V172890 = V741874. assign V568726 = V662795 + 1. assign V185354 = V210329 + 1. assign V538348 = V886390. assign V494324 = V135083. assign V838660 = V809454. assign V291310 = V886390 + 1. assign V042574 = V886390 - 1. assign V270950 = V132795 + 1. assign V162897 = V980177 - 1. assign V950857 = V432183 + 1. assign V931440 = V912832. assign V069057 = V746468. assign V458538 = V132086 + 1. assign V826087 = V132795 + 1. assign V867767 = V203953. assign V470999 = V741874. assign V210329 = V743928 - 1. assign V384354 = V935046 + 1. assign V126995 = V177735. assign V287762 = V782795 - 1. assign V061388 = V070660. assign V506520 = V132795 + 1. assign V061982 = V600497 - 1. assign V746468 = V935833. assign V358648 = V811431 + 1. assign V778960 = V780384. assign V135083 = V132795 + 1. assign V001660 = V974710. assign V253991 = V132795 - 1. assign V589705 = V375417 + 1. assign V432183 = V375417. assign V780920 = V761942 + 1. assign V441144 = V410494 + 1. assign V670974 = V806682 + 1. assign V929632 = V069057. assign V957510 = V662795 + 1. assign V769639 = V776217 - 1. assign V795036 = V712324. assign V587246 = V895816 + 1. assign V017702 = V069057 + 1. assign V070660 = V614875 - 1. assign V472617 = V776217. assign V074916 = V746468 + 1. assign V951545 = V950857 - 1. assign V814791 = V237546 - 1. assign V410494 = V494324 - 1. assign V375417 = V275139 + 1. assign V394631 = V761942 + 1. assign V935833 = V741874 - 1. assign V892482 = V671950 - 1. assign V743928 = V600497 + 1. assign V600497 = V662795. assign V642811 = V237546 + 1. assign V671950 = V212679 - 1. assign V860307 = V600497 - 1. assign V646394 = V166035 - 1. assign V835188 = V778960. assign V614875 = V172890 + 1. assign V872965 = V642811 - 1. assign V616398 = V741874. assign V385677 = V809454. assign V309732 = V470999 - 1. assign V774855 = V806332 + 1. assign V305752 = V470999 - 1. assign V430119 = V565964 - 1. assign V398906 = V237546 + 1. assign V791126 = V741627. assign V643319 = V571780 - 1. assign V980177 = V935833 + 1. assign V390293 = V870196. assign V806332 = V350030. assign V765814 = V685133. assign V270632 = V472617. assign V662795 = V375417. assign V565964 = V912832. assign V865715 = V231125 + 1. assign V067656 = V444226 + 1. assign V992369 = V394631 + 1. assign V782795 = V307206 + 1. assign V571780 = 8. assign V930917 = V931440. assign V132795 = V275139. assign V780384 = V070660. assign V000531 = V385677 + 1. assign V974538 = V287762 - 1. assign V018962 = V846860 - 1. assign V434382 = V270950 + 1. assign V458658 = V912832. assign V858442 = V614875 - 1. assign V741514 = V790306 - 1. assign V831273 = V614875 - 1. assign V184773 = V275139 - 1. assign V692455 = V070660 - 1. assign V541751 = V132795 + 1. assign V635488 = V733578 - 1. assign V928577 = V912832. assign V463895 = V177735 + 1. assign V212679 = V935833 - 1. assign V307206 = V801333 - 1. assign V350030 = V126995 + 1. assign V689068 = V231125 + 1. assign V806682 = V210329 + 1. assign V830411 = V130619. assign V507647 = V432183 - 1. assign V631236 = V912832. assign V445243 = V470999. assign V886390 = V275139 - 1. assign V712324 = V863112 - 1. assign V123022 = V309732. assign V412480 = V616398 - 1. assign V892748 = V177735 + 1. assign V685133 = V458658 + 1. assign V935046 = V645350 + 1. assign V415335 = V375417 - 1. assign V733578 = V126995. assign V571382 = V778960. assign V956970 = V058286 + 1. assign V551561 = V061982. assign V237546 = V614875 - 1. assign V895816 = V780384 + 1. assign V658190 = V172890 - 1. assign V310708 = V445243. assign V741627 = V444226 - 1. assign V863112 = V275139 + 1. assign V761942 = V863112 - 1. assign V110438 = V234862 - 1. assign V234862 = V445243 + 1. assign V866594 = V974710 + 1. assign V790306 = V935833 + 1. assign V328233 = V458658 - 1. assign V919242 = V305752. assign V811431 = V935833 - 1. assign V912832 = V470999 - 1. assign V177735 = V858442 + 1. assign V132086 = V831273. assign V745540 = V928577. assign V066720 = V358648 - 1. assign V631747 = V673878. assign V776217 = V391437 - 1. assign V371044 = V352880 - 1. assign V391437 = V375417. assign V203953 = V328233. assign V444226 = V275139 - 1. assign V810636 = V253991. assign V205730 = V132086 - 1. assign V628789 = V931440. assign V170957 = V741874. assign V693340 = V743928. assign V681242 = V741874. assign V058286 = V741627 - 1. assign V466220 = V135083 + 1. assign V846860 = V398906 + 1. assign V166035 = V070660 - 1. assign V275139 = V681242. assign V974710 = V733578 - 1. assign V522028 = V587246 - 1. assign V352880 = V132795. assign V673878 = V237546 - 1. assign V840372 = V712324 - 1. assign V568931 = V375417 + 1. assign V801333 = V886390 - 1. assign V881643 = V385677 - 1. assign V197748 = V212679 + 1. assign V231125 = V831273 + 1. assign V809454 = V275139. assign V617529 = V070660 - 1. assign V978564 = V892748 - 1. assign V870196 = V974710 + 1. assign V645350 = V886390 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV571780 = 8;\n\nFrom these direct assignment(s), we have: \nV643319 = V571780 - 1 = 8 - 1 =7;\nNo other variables can be derived from V643319;\nNo other variables can be derived from V571780;\n\nNow we have done all the calculations. Derived variables are:\nV571780 = 8;\nV643319 = 7;\n\nNow we have finished this problem. ANSWER:\nV571780\n", "role": "assistant" } ]

[ "V414365", "V970782" ]

[ { "content": "<context>\nassign V053904 = V441725 - 1. assign V802374 = V986160. assign V484376 = V632183 + 1. assign V178621 = V088464 + 1. assign V086050 = V999636 + 1. assign V127195 = V829062 + 1. assign V148689 = V914908. assign V394273 = V566109 + 1. assign V349140 = V220777 - 1. assign V986160 = V238432 - 1. assign V402674 = V232511 + 1. assign V681435 = V088464 + 1. assign V978909 = V823066. assign V032171 = V792599 + 1. assign V219243 = V804317 + 1. assign V897051 = V035073 + 1. assign V928362 = V422384. assign V394921 = V662114 + 1. assign V441725 = V232511 - 1. assign V134865 = V320887 - 1. assign V453455 = V914908 - 1. assign V822170 = V928362. assign V571028 = V295052. assign V156054 = V703247 + 1. assign V684403 = V688320 - 1. assign V981089 = V394921. assign V821061 = V332605. assign V390905 = V329638 + 1. assign V153599 = V320887 - 1. assign V420664 = V427783. assign V804317 = V580575 - 1. assign V780956 = V220777 + 1. assign V968518 = V402674 + 1. assign V699650 = V823066. assign V822883 = V748918. assign V334082 = V427783 + 1. assign V334787 = V390905 - 1. assign V133074 = V070044 + 1. assign V751363 = V398855. assign V580575 = V320887 + 1. assign V341469 = V148689 - 1. assign V710534 = V134865 - 1. assign V627895 = V823066 + 1. assign V249585 = V134865. assign V280151 = V260101 + 1. assign V398857 = V580575. assign V062151 = V868697 - 1. assign V566109 = V148689 - 1. assign V586468 = V023333 + 1. assign V023288 = V320887 + 1. assign V220777 = V148689. assign V340956 = V054347. assign V749491 = V625018. assign V703247 = V586000 - 1. assign V502597 = V388900. assign V024282 = V183354. assign V670563 = V134865. assign V210603 = V208400. assign V607679 = V167759 + 1. assign V142889 = V632183. assign V320887 = V220777 - 1. assign V437700 = V660656 + 1. assign V984591 = V426018. assign V295052 = V721011. assign V755452 = V142889. assign V398855 = V271684 - 1. assign V905868 = V721011 - 1. assign V488223 = V086050 - 1. assign V664568 = V222923 + 1. assign V525616 = V222923 - 1. assign V748918 = V224209 + 1. assign V232511 = V724864 - 1. assign V830469 = V999636. assign V179071 = V397624 - 1. assign V405488 = V897051. assign V362344 = V280151 + 1. assign V332605 = V249585. assign V993180 = V086050. assign V303810 = V232511 + 1. assign V154002 = V210603 + 1. assign V070044 = V681435 + 1. assign V023333 = V833709 - 1. assign V829062 = V220777 - 1. assign V273580 = V833709 + 1. assign V097872 = V271684. assign V338828 = V833709 + 1. assign V412931 = V792599 - 1. assign V339172 = V835489 - 1. assign V397624 = V449434. assign V427783 = V148689. assign V518007 = V833709 - 1. assign V259642 = V148689 - 1. assign V970782 = V414365. assign V220187 = V751221 + 1. assign V915361 = V148689 - 1. assign V422384 = V394921. assign V284042 = V780956. assign V813964 = V167759 - 1. assign V945359 = V153599 + 1. assign V707148 = V780956. assign V791186 = V905868 - 1. assign V414365 = 4. assign V426018 = V402674 - 1. assign V986840 = V220777 + 1. assign V871694 = V134865. assign V612976 = V249585 + 1. assign V388900 = V341469 - 1. assign V823066 = V148689 - 1. assign V688320 = V389710 - 1. assign V035073 = V792599 + 1. assign V329638 = V699650 - 1. assign V944469 = V780956. assign V318576 = V362344. assign V020847 = V349140 - 1. assign V106506 = V897051 - 1. assign V833709 = V320887 - 1. assign V208816 = V453455. assign V632183 = V412931. assign V260101 = V684403 + 1. assign V772332 = V751221 - 1. assign V686338 = V023288. assign V612783 = V670563 - 1. assign V441636 = V821061 + 1. assign V891743 = V945359 + 1. assign V808097 = V978909 - 1. assign V320625 = V627895. assign V222923 = V721011 - 1. assign V183354 = V780956. assign V792599 = V394921 + 1. assign V224209 = V402674. assign V132500 = V518007. assign V751221 = V525616 + 1. assign V271684 = V981089. assign V835489 = V984591 + 1. assign V399437 = V427783. assign V128100 = V178621 - 1. assign V724864 = V134865. assign V361123 = V821875. assign V153309 = V088464 + 1. assign V662114 = V453455. assign V449434 = V688320 - 1. assign V238432 = V501769 - 1. assign V054347 = V220777 + 1. assign V606324 = V823066. assign V948765 = V249585 + 1. assign V289756 = V915361 + 1. assign V006986 = V070044. assign V132403 = V153309. assign V586000 = V751221 + 1. assign V868697 = V054347 - 1. assign V773014 = V684403 - 1. assign V337700 = V289756. assign V333604 = V699650 - 1. assign V660656 = V024282. assign V088464 = V453455 - 1. assign V874217 = V914908 - 1. assign V761877 = V280151 + 1. assign V625018 = V699650 + 1. assign V392295 = V632183 + 1. assign V168876 = V329638 - 1. assign V167759 = V792599 + 1. assign V763234 = V142889. assign V821875 = V612783. assign V389710 = V427783. assign V005741 = V566109 + 1. assign V431256 = V295052 - 1. assign V208400 = V289756 - 1. assign V815061 = V829062 + 1. assign V721011 = V874217 - 1. assign V501769 = V580575 - 1. assign V999636 = V780956. assign V002705 = V220777 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V053904 = V441725 - 1. assign V802374 = V986160. assign V484376 = V632183 + 1. assign V178621 = V088464 + 1. assign V086050 = V999636 + 1. assign V127195 = V829062 + 1. assign V148689 = V914908. assign V394273 = V566109 + 1. assign V349140 = V220777 - 1. assign V986160 = V238432 - 1. assign V402674 = V232511 + 1. assign V681435 = V088464 + 1. assign V978909 = V823066. assign V032171 = V792599 + 1. assign V219243 = V804317 + 1. assign V897051 = V035073 + 1. assign V928362 = V422384. assign V394921 = V662114 + 1. assign V441725 = V232511 - 1. assign V134865 = V320887 - 1. assign V453455 = V914908 - 1. assign V822170 = V928362. assign V571028 = V295052. assign V156054 = V703247 + 1. assign V684403 = V688320 - 1. assign V981089 = V394921. assign V821061 = V332605. assign V390905 = V329638 + 1. assign V153599 = V320887 - 1. assign V420664 = V427783. assign V804317 = V580575 - 1. assign V780956 = V220777 + 1. assign V968518 = V402674 + 1. assign V699650 = V823066. assign V822883 = V748918. assign V334082 = V427783 + 1. assign V334787 = V390905 - 1. assign V133074 = V070044 + 1. assign V751363 = V398855. assign V580575 = V320887 + 1. assign V341469 = V148689 - 1. assign V710534 = V134865 - 1. assign V627895 = V823066 + 1. assign V249585 = V134865. assign V280151 = V260101 + 1. assign V398857 = V580575. assign V062151 = V868697 - 1. assign V566109 = V148689 - 1. assign V586468 = V023333 + 1. assign V023288 = V320887 + 1. assign V220777 = V148689. assign V340956 = V054347. assign V749491 = V625018. assign V703247 = V586000 - 1. assign V502597 = V388900. assign V024282 = V183354. assign V670563 = V134865. assign V210603 = V208400. assign V607679 = V167759 + 1. assign V142889 = V632183. assign V320887 = V220777 - 1. assign V437700 = V660656 + 1. assign V984591 = V426018. assign V295052 = V721011. assign V755452 = V142889. assign V398855 = V271684 - 1. assign V905868 = V721011 - 1. assign V488223 = V086050 - 1. assign V664568 = V222923 + 1. assign V525616 = V222923 - 1. assign V748918 = V224209 + 1. assign V232511 = V724864 - 1. assign V830469 = V999636. assign V179071 = V397624 - 1. assign V405488 = V897051. assign V362344 = V280151 + 1. assign V332605 = V249585. assign V993180 = V086050. assign V303810 = V232511 + 1. assign V154002 = V210603 + 1. assign V070044 = V681435 + 1. assign V023333 = V833709 - 1. assign V829062 = V220777 - 1. assign V273580 = V833709 + 1. assign V097872 = V271684. assign V338828 = V833709 + 1. assign V412931 = V792599 - 1. assign V339172 = V835489 - 1. assign V397624 = V449434. assign V427783 = V148689. assign V518007 = V833709 - 1. assign V259642 = V148689 - 1. assign V970782 = V414365. assign V220187 = V751221 + 1. assign V915361 = V148689 - 1. assign V422384 = V394921. assign V284042 = V780956. assign V813964 = V167759 - 1. assign V945359 = V153599 + 1. assign V707148 = V780956. assign V791186 = V905868 - 1. assign V414365 = 4. assign V426018 = V402674 - 1. assign V986840 = V220777 + 1. assign V871694 = V134865. assign V612976 = V249585 + 1. assign V388900 = V341469 - 1. assign V823066 = V148689 - 1. assign V688320 = V389710 - 1. assign V035073 = V792599 + 1. assign V329638 = V699650 - 1. assign V944469 = V780956. assign V318576 = V362344. assign V020847 = V349140 - 1. assign V106506 = V897051 - 1. assign V833709 = V320887 - 1. assign V208816 = V453455. assign V632183 = V412931. assign V260101 = V684403 + 1. assign V772332 = V751221 - 1. assign V686338 = V023288. assign V612783 = V670563 - 1. assign V441636 = V821061 + 1. assign V891743 = V945359 + 1. assign V808097 = V978909 - 1. assign V320625 = V627895. assign V222923 = V721011 - 1. assign V183354 = V780956. assign V792599 = V394921 + 1. assign V224209 = V402674. assign V132500 = V518007. assign V751221 = V525616 + 1. assign V271684 = V981089. assign V835489 = V984591 + 1. assign V399437 = V427783. assign V128100 = V178621 - 1. assign V724864 = V134865. assign V361123 = V821875. assign V153309 = V088464 + 1. assign V662114 = V453455. assign V449434 = V688320 - 1. assign V238432 = V501769 - 1. assign V054347 = V220777 + 1. assign V606324 = V823066. assign V948765 = V249585 + 1. assign V289756 = V915361 + 1. assign V006986 = V070044. assign V132403 = V153309. assign V586000 = V751221 + 1. assign V868697 = V054347 - 1. assign V773014 = V684403 - 1. assign V337700 = V289756. assign V333604 = V699650 - 1. assign V660656 = V024282. assign V088464 = V453455 - 1. assign V874217 = V914908 - 1. assign V761877 = V280151 + 1. assign V625018 = V699650 + 1. assign V392295 = V632183 + 1. assign V168876 = V329638 - 1. assign V167759 = V792599 + 1. assign V763234 = V142889. assign V821875 = V612783. assign V389710 = V427783. assign V005741 = V566109 + 1. assign V431256 = V295052 - 1. assign V208400 = V289756 - 1. assign V815061 = V829062 + 1. assign V721011 = V874217 - 1. assign V501769 = V580575 - 1. assign V999636 = V780956. assign V002705 = V220777 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV414365 = 4;\n\nFrom these direct assignment(s), we have: \nV970782 = V414365 = 4;\nNo other variables can be derived from V970782;\nNo other variables can be derived from V414365;\n\nNow we have done all the calculations. Derived variables are:\nV414365 = 4;\nV970782 = 4;\n\nNow we have finished this problem. ANSWER:\nV414365, V970782\n", "role": "assistant" } ]

[ "V544679" ]

[ { "content": "<context>\nassign V786433 = V672927. assign V452742 = V258414 - 1. assign V566568 = V362786 + 1. assign V538088 = V781450 - 1. assign V542270 = V020038 - 1. assign V402178 = V843649 + 1. assign V572477 = V541661 + 1. assign V993724 = V566334 + 1. assign V651411 = V402178. assign V294891 = V638027. assign V433529 = V588363 - 1. assign V195469 = V343083. assign V966231 = V020038 + 1. assign V739968 = V095221. assign V463931 = V585136 - 1. assign V660194 = V217116. assign V876185 = V588363. assign V280000 = V528695 + 1. assign V018997 = V281798 + 1. assign V528695 = V317142 - 1. assign V052541 = V317142. assign V864773 = V019414. assign V125836 = 0. assign V103036 = V579549 - 1. assign V873122 = V140684 - 1. assign V746755 = V281798 - 1. assign V305489 = V317142 - 1. assign V143021 = V813831 + 1. assign V473837 = V023401 + 1. assign V367348 = V538088 + 1. assign V585136 = V506117. assign V584146 = V920112 + 1. assign V638456 = V086101 + 1. assign V179970 = V008135 - 1. assign V225111 = V225607 + 1. assign V679872 = V294891 - 1. assign V697488 = V402178 - 1. assign V590698 = V343083 - 1. assign V118425 = V329874 - 1. assign V260043 = V788922 + 1. assign V712771 = V019414 + 1. assign V800742 = V052541 - 1. assign V638027 = V045946 - 1. assign V020038 = V565237. assign V528885 = V323401. assign V646656 = V289003 - 1. assign V093538 = V791619 + 1. assign V526477 = V565237. assign V140633 = V801100 + 1. assign V541407 = V565237 + 1. assign V273052 = V994328 + 1. assign V763824 = V052541 - 1. assign V642016 = V843649 - 1. assign V186458 = V343083 + 1. assign V136288 = V588363 - 1. assign V965447 = V875623. assign V670739 = V596815. assign V326692 = V295523. assign V791619 = V020038 + 1. assign V323401 = V528695. assign V149879 = V800742. assign V212502 = V832529 - 1. assign V178175 = V502620 + 1. assign V346873 = V538088. assign V740423 = V294891 + 1. assign V781450 = V103595 + 1. assign V299292 = V212502 + 1. assign V103595 = V362786 + 1. assign V988394 = V272574 + 1. assign V295523 = V588363 - 1. assign V113430 = V528695 - 1. assign V502620 = V832529. assign V788922 = V843649 - 1. assign V640261 = V045946 + 1. assign V911890 = V294891 - 1. assign V990824 = V326692. assign V556596 = V326692 + 1. assign V588363 = V686198. assign V329874 = V362786 + 1. assign V146071 = V294891 + 1. assign V692169 = V988394. assign V229555 = V018997. assign V170021 = V556596. assign V186637 = V045946. assign V541661 = V832529 + 1. assign V348625 = V832529 + 1. assign V532905 = V086101 + 1. assign V495497 = V438076 - 1. assign V813831 = V596815. assign V672927 = V346873 + 1. assign V345441 = V289003 - 1. assign V501285 = V725032. assign V519472 = V712771 + 1. assign V317142 = V023401 + 1. assign V501181 = V294891. assign V544679 = V125836 - 1. assign V019414 = V565237 + 1. assign V540595 = V519472 - 1. assign V648926 = V438076 + 1. assign V506117 = V010309. assign V448891 = V566334 + 1. assign V695260 = V788922 - 1. assign V679944 = V523088 + 1. assign V094550 = V020038 - 1. assign V127096 = V864773 + 1. assign V196889 = V920112 + 1. assign V438076 = V281798 - 1. assign V830648 = V345441. assign V143084 = V540595 + 1. assign V258414 = V638027 - 1. assign V236305 = V281798 + 1. assign V459869 = V501181 - 1. assign V725032 = V640261. assign V522673 = V538088. assign V094302 = V766450 + 1. assign V140684 = V095221 - 1. assign V362786 = V565237 - 1. assign V843649 = V438076 - 1. assign V294440 = V566568. assign V856582 = V272574. assign V051110 = V566334 - 1. assign V953254 = V421373 - 1. assign V523088 = V019414. assign V217116 = V095221 - 1. assign V832529 = V541407. assign V343083 = V596815. assign V086101 = V103595 - 1. assign V057483 = V502620. assign V865167 = V195469. assign V046225 = V304524 - 1. assign V421373 = V640261 - 1. assign V304524 = V346873. assign V425189 = V911890 + 1. assign V691439 = V020038. assign V239517 = V528885 - 1. assign V486422 = V566568 + 1. assign V686198 = V023401 - 1. assign V803014 = V686198. assign V920112 = V317142 + 1. assign V801100 = V766450 - 1. assign V445634 = V920112. assign V875623 = V590698 + 1. assign V023401 = V019414 - 1. assign V401350 = V018997 + 1. assign V289003 = V343083. assign V527619 = V149879. assign V766450 = V813831 + 1. assign V094858 = V236305 - 1. assign V827935 = V788922 - 1. assign V742534 = V323401 - 1. assign V579549 = V911890 - 1. assign V225607 = V095221. assign V652592 = V186458 - 1. assign V010309 = V791619 - 1. assign V863241 = V178175 + 1. assign V922892 = V010309 - 1. assign V920116 = V140633. assign V630267 = V186458. assign V812658 = V195469 - 1. assign V008135 = V966231 - 1. assign V164946 = V225607 + 1. assign V051976 = V164946 - 1. assign V281798 = V020038 + 1. assign V221955 = V528695. assign V539358 = V585136. assign V272574 = V638027 - 1. assign V095221 = V438076 - 1. assign V596815 = V712771. assign V994328 = V538088. assign V918007 = V746755 + 1. assign V566334 = V317142 - 1. assign V045946 = V523088.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V786433 = V672927. assign V452742 = V258414 - 1. assign V566568 = V362786 + 1. assign V538088 = V781450 - 1. assign V542270 = V020038 - 1. assign V402178 = V843649 + 1. assign V572477 = V541661 + 1. assign V993724 = V566334 + 1. assign V651411 = V402178. assign V294891 = V638027. assign V433529 = V588363 - 1. assign V195469 = V343083. assign V966231 = V020038 + 1. assign V739968 = V095221. assign V463931 = V585136 - 1. assign V660194 = V217116. assign V876185 = V588363. assign V280000 = V528695 + 1. assign V018997 = V281798 + 1. assign V528695 = V317142 - 1. assign V052541 = V317142. assign V864773 = V019414. assign V125836 = 0. assign V103036 = V579549 - 1. assign V873122 = V140684 - 1. assign V746755 = V281798 - 1. assign V305489 = V317142 - 1. assign V143021 = V813831 + 1. assign V473837 = V023401 + 1. assign V367348 = V538088 + 1. assign V585136 = V506117. assign V584146 = V920112 + 1. assign V638456 = V086101 + 1. assign V179970 = V008135 - 1. assign V225111 = V225607 + 1. assign V679872 = V294891 - 1. assign V697488 = V402178 - 1. assign V590698 = V343083 - 1. assign V118425 = V329874 - 1. assign V260043 = V788922 + 1. assign V712771 = V019414 + 1. assign V800742 = V052541 - 1. assign V638027 = V045946 - 1. assign V020038 = V565237. assign V528885 = V323401. assign V646656 = V289003 - 1. assign V093538 = V791619 + 1. assign V526477 = V565237. assign V140633 = V801100 + 1. assign V541407 = V565237 + 1. assign V273052 = V994328 + 1. assign V763824 = V052541 - 1. assign V642016 = V843649 - 1. assign V186458 = V343083 + 1. assign V136288 = V588363 - 1. assign V965447 = V875623. assign V670739 = V596815. assign V326692 = V295523. assign V791619 = V020038 + 1. assign V323401 = V528695. assign V149879 = V800742. assign V212502 = V832529 - 1. assign V178175 = V502620 + 1. assign V346873 = V538088. assign V740423 = V294891 + 1. assign V781450 = V103595 + 1. assign V299292 = V212502 + 1. assign V103595 = V362786 + 1. assign V988394 = V272574 + 1. assign V295523 = V588363 - 1. assign V113430 = V528695 - 1. assign V502620 = V832529. assign V788922 = V843649 - 1. assign V640261 = V045946 + 1. assign V911890 = V294891 - 1. assign V990824 = V326692. assign V556596 = V326692 + 1. assign V588363 = V686198. assign V329874 = V362786 + 1. assign V146071 = V294891 + 1. assign V692169 = V988394. assign V229555 = V018997. assign V170021 = V556596. assign V186637 = V045946. assign V541661 = V832529 + 1. assign V348625 = V832529 + 1. assign V532905 = V086101 + 1. assign V495497 = V438076 - 1. assign V813831 = V596815. assign V672927 = V346873 + 1. assign V345441 = V289003 - 1. assign V501285 = V725032. assign V519472 = V712771 + 1. assign V317142 = V023401 + 1. assign V501181 = V294891. assign V544679 = V125836 - 1. assign V019414 = V565237 + 1. assign V540595 = V519472 - 1. assign V648926 = V438076 + 1. assign V506117 = V010309. assign V448891 = V566334 + 1. assign V695260 = V788922 - 1. assign V679944 = V523088 + 1. assign V094550 = V020038 - 1. assign V127096 = V864773 + 1. assign V196889 = V920112 + 1. assign V438076 = V281798 - 1. assign V830648 = V345441. assign V143084 = V540595 + 1. assign V258414 = V638027 - 1. assign V236305 = V281798 + 1. assign V459869 = V501181 - 1. assign V725032 = V640261. assign V522673 = V538088. assign V094302 = V766450 + 1. assign V140684 = V095221 - 1. assign V362786 = V565237 - 1. assign V843649 = V438076 - 1. assign V294440 = V566568. assign V856582 = V272574. assign V051110 = V566334 - 1. assign V953254 = V421373 - 1. assign V523088 = V019414. assign V217116 = V095221 - 1. assign V832529 = V541407. assign V343083 = V596815. assign V086101 = V103595 - 1. assign V057483 = V502620. assign V865167 = V195469. assign V046225 = V304524 - 1. assign V421373 = V640261 - 1. assign V304524 = V346873. assign V425189 = V911890 + 1. assign V691439 = V020038. assign V239517 = V528885 - 1. assign V486422 = V566568 + 1. assign V686198 = V023401 - 1. assign V803014 = V686198. assign V920112 = V317142 + 1. assign V801100 = V766450 - 1. assign V445634 = V920112. assign V875623 = V590698 + 1. assign V023401 = V019414 - 1. assign V401350 = V018997 + 1. assign V289003 = V343083. assign V527619 = V149879. assign V766450 = V813831 + 1. assign V094858 = V236305 - 1. assign V827935 = V788922 - 1. assign V742534 = V323401 - 1. assign V579549 = V911890 - 1. assign V225607 = V095221. assign V652592 = V186458 - 1. assign V010309 = V791619 - 1. assign V863241 = V178175 + 1. assign V922892 = V010309 - 1. assign V920116 = V140633. assign V630267 = V186458. assign V812658 = V195469 - 1. assign V008135 = V966231 - 1. assign V164946 = V225607 + 1. assign V051976 = V164946 - 1. assign V281798 = V020038 + 1. assign V221955 = V528695. assign V539358 = V585136. assign V272574 = V638027 - 1. assign V095221 = V438076 - 1. assign V596815 = V712771. assign V994328 = V538088. assign V918007 = V746755 + 1. assign V566334 = V317142 - 1. assign V045946 = V523088.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV125836 = 0;\n\nFrom these direct assignment(s), we have: \nV544679 = V125836 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V544679;\nNo other variables can be derived from V125836;\n\nNow we have done all the calculations. Derived variables are:\nV125836 = 0;\nV544679 = -1;\n\nNow we have finished this problem. ANSWER:\nV544679\n", "role": "assistant" } ]

[ "V738483", "V660675" ]

[ { "content": "<context>\nassign V838023 = V389607 + 1. assign V481282 = V393305. assign V871285 = V212120. assign V747804 = V945391 + 1. assign V996162 = V671275 - 1. assign V830998 = V841419. assign V575735 = V980214. assign V401808 = V387117. assign V487506 = V850279. assign V747254 = V844472 - 1. assign V677048 = V262091 - 1. assign V978601 = V393305 + 1. assign V925158 = V103421 + 1. assign V318247 = V350580. assign V041896 = V350580 - 1. assign V510969 = V564792. assign V706339 = V359741. assign V734368 = V203132 + 1. assign V945391 = V337359. assign V429833 = V549789 + 1. assign V316767 = V078987. assign V047789 = V830998. assign V590624 = V469737 + 1. assign V983551 = V118628 - 1. assign V996757 = V558296. assign V979892 = V875874 + 1. assign V682782 = V341199 + 1. assign V211401 = V512623 + 1. assign V875874 = V258991 - 1. assign V184107 = V727251 - 1. assign V455110 = V211401. assign V137007 = V179732 + 1. assign V066194 = V734368 - 1. assign V263888 = V755957 + 1. assign V628298 = V041896. assign V671275 = V389607. assign V134798 = V727251 + 1. assign V577356 = V918855 + 1. assign V015498 = V755957 + 1. assign V570027 = V558296. assign V924397 = V657654 - 1. assign V894422 = V350580. assign V519729 = V980214 - 1. assign V389607 = V600769. assign V666413 = V980214 + 1. assign V600769 = V734368. assign V268813 = V925158 - 1. assign V305892 = V190085. assign V690776 = V104396. assign V726817 = V747804 + 1. assign V905031 = V082431 + 1. assign V133182 = V794948 - 1. assign V233778 = V980214 + 1. assign V290533 = V439848. assign V798398 = V114906. assign V258991 = V203132 - 1. assign V645860 = V628298 - 1. assign V028970 = V851552 - 1. assign V190085 = V558296 - 1. assign V171428 = V082431 + 1. assign V313483 = V179732 - 1. assign V765786 = V184107 - 1. assign V799483 = V755957. assign V424423 = V389607. assign V657654 = V925158 - 1. assign V187389 = V871285 - 1. assign V549789 = V945391. assign V470787 = V734464 + 1. assign V649844 = V570027 - 1. assign V336751 = V229947 + 1. assign V726459 = V321132. assign V469737 = V217678. assign V651840 = V983551. assign V727251 = V203132 + 1. assign V461303 = V512623 - 1. assign V133132 = V439848 + 1. assign V660896 = V002097 - 1. assign V263193 = V850871 + 1. assign V446423 = V429833 + 1. assign V337359 = V393305 - 1. assign V553059 = V229947. assign V071724 = V329374 - 1. assign V321132 = V577356 - 1. assign V593584 = V389607 - 1. assign V823509 = V850279. assign V841419 = V389607 + 1. assign V539698 = V631270 - 1. assign V057871 = V979892. assign V432458 = V660896 - 1. assign V674587 = V875874. assign V267892 = V794948. assign V552334 = V628298. assign V262091 = V628298 - 1. assign V914560 = V726459 + 1. assign V341199 = V980214. assign V229947 = V321132. assign V606538 = V290533 + 1. assign V855337 = V321132. assign V359741 = V337359. assign V487907 = V706745 + 1. assign V179732 = V734368 + 1. assign V350580 = V203132 - 1. assign V631270 = V590624 - 1. assign V850279 = V066194 - 1. assign V082820 = V706745. assign V787300 = V765786. assign V082431 = V469737. assign V329374 = V134798. assign V993437 = V012129. assign V863844 = V211401 + 1. assign V217678 = V734368 - 1. assign V564792 = V978601 + 1. assign V793550 = V657654. assign V782408 = V167004 - 1. assign V118628 = V350580. assign V706745 = V996162 + 1. assign V078987 = V743173 + 1. assign V310161 = V337359. assign V104396 = V464631 + 1. assign V918855 = V258991 + 1. assign V980214 = V190085. assign V794948 = V918855 - 1. assign V844472 = V118628 - 1. assign V001113 = V455110. assign V316564 = V937137 + 1. assign V145931 = V469737 - 1. assign V328047 = V439848. assign V611289 = V706745. assign V738483 = 3. assign V387117 = V564792. assign V103421 = V041896. assign V593858 = V978601 - 1. assign V012129 = V734368 - 1. assign V091008 = V996162. assign V169649 = V167004. assign V464631 = V041896 - 1. assign V212120 = V389607 - 1. assign V381670 = V002097 + 1. assign V205496 = V743173. assign V124193 = V385329. assign V160498 = V577356. assign V743173 = V134798 + 1. assign V114906 = V203132 - 1. assign V907879 = V487907. assign V347748 = V258991. assign V439848 = V217678. assign V575141 = V104396 + 1. assign V484860 = V190085 - 1. assign V937137 = V133182 + 1. assign V512623 = V577356 - 1. assign V179740 = V217678 - 1. assign V181705 = V160498 - 1. assign V167004 = V203132. assign V393305 = V734368. assign V653963 = V211401 + 1. assign V471995 = V347748 - 1. assign V196310 = V015498 + 1. assign V932637 = V393305 + 1. assign V068711 = V470787. assign V734464 = V313483 + 1. assign V002097 = V258991. assign V753313 = V577356 + 1. assign V811391 = V091008. assign V655794 = V570027 + 1. assign V851552 = V337359. assign V755957 = V918855 - 1. assign V850871 = V894422 - 1. assign V660675 = V738483. assign V361548 = V041896 + 1. assign V895611 = V841419. assign V558296 = V794948 + 1. assign V385329 = V841419.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V838023 = V389607 + 1. assign V481282 = V393305. assign V871285 = V212120. assign V747804 = V945391 + 1. assign V996162 = V671275 - 1. assign V830998 = V841419. assign V575735 = V980214. assign V401808 = V387117. assign V487506 = V850279. assign V747254 = V844472 - 1. assign V677048 = V262091 - 1. assign V978601 = V393305 + 1. assign V925158 = V103421 + 1. assign V318247 = V350580. assign V041896 = V350580 - 1. assign V510969 = V564792. assign V706339 = V359741. assign V734368 = V203132 + 1. assign V945391 = V337359. assign V429833 = V549789 + 1. assign V316767 = V078987. assign V047789 = V830998. assign V590624 = V469737 + 1. assign V983551 = V118628 - 1. assign V996757 = V558296. assign V979892 = V875874 + 1. assign V682782 = V341199 + 1. assign V211401 = V512623 + 1. assign V875874 = V258991 - 1. assign V184107 = V727251 - 1. assign V455110 = V211401. assign V137007 = V179732 + 1. assign V066194 = V734368 - 1. assign V263888 = V755957 + 1. assign V628298 = V041896. assign V671275 = V389607. assign V134798 = V727251 + 1. assign V577356 = V918855 + 1. assign V015498 = V755957 + 1. assign V570027 = V558296. assign V924397 = V657654 - 1. assign V894422 = V350580. assign V519729 = V980214 - 1. assign V389607 = V600769. assign V666413 = V980214 + 1. assign V600769 = V734368. assign V268813 = V925158 - 1. assign V305892 = V190085. assign V690776 = V104396. assign V726817 = V747804 + 1. assign V905031 = V082431 + 1. assign V133182 = V794948 - 1. assign V233778 = V980214 + 1. assign V290533 = V439848. assign V798398 = V114906. assign V258991 = V203132 - 1. assign V645860 = V628298 - 1. assign V028970 = V851552 - 1. assign V190085 = V558296 - 1. assign V171428 = V082431 + 1. assign V313483 = V179732 - 1. assign V765786 = V184107 - 1. assign V799483 = V755957. assign V424423 = V389607. assign V657654 = V925158 - 1. assign V187389 = V871285 - 1. assign V549789 = V945391. assign V470787 = V734464 + 1. assign V649844 = V570027 - 1. assign V336751 = V229947 + 1. assign V726459 = V321132. assign V469737 = V217678. assign V651840 = V983551. assign V727251 = V203132 + 1. assign V461303 = V512623 - 1. assign V133132 = V439848 + 1. assign V660896 = V002097 - 1. assign V263193 = V850871 + 1. assign V446423 = V429833 + 1. assign V337359 = V393305 - 1. assign V553059 = V229947. assign V071724 = V329374 - 1. assign V321132 = V577356 - 1. assign V593584 = V389607 - 1. assign V823509 = V850279. assign V841419 = V389607 + 1. assign V539698 = V631270 - 1. assign V057871 = V979892. assign V432458 = V660896 - 1. assign V674587 = V875874. assign V267892 = V794948. assign V552334 = V628298. assign V262091 = V628298 - 1. assign V914560 = V726459 + 1. assign V341199 = V980214. assign V229947 = V321132. assign V606538 = V290533 + 1. assign V855337 = V321132. assign V359741 = V337359. assign V487907 = V706745 + 1. assign V179732 = V734368 + 1. assign V350580 = V203132 - 1. assign V631270 = V590624 - 1. assign V850279 = V066194 - 1. assign V082820 = V706745. assign V787300 = V765786. assign V082431 = V469737. assign V329374 = V134798. assign V993437 = V012129. assign V863844 = V211401 + 1. assign V217678 = V734368 - 1. assign V564792 = V978601 + 1. assign V793550 = V657654. assign V782408 = V167004 - 1. assign V118628 = V350580. assign V706745 = V996162 + 1. assign V078987 = V743173 + 1. assign V310161 = V337359. assign V104396 = V464631 + 1. assign V918855 = V258991 + 1. assign V980214 = V190085. assign V794948 = V918855 - 1. assign V844472 = V118628 - 1. assign V001113 = V455110. assign V316564 = V937137 + 1. assign V145931 = V469737 - 1. assign V328047 = V439848. assign V611289 = V706745. assign V738483 = 3. assign V387117 = V564792. assign V103421 = V041896. assign V593858 = V978601 - 1. assign V012129 = V734368 - 1. assign V091008 = V996162. assign V169649 = V167004. assign V464631 = V041896 - 1. assign V212120 = V389607 - 1. assign V381670 = V002097 + 1. assign V205496 = V743173. assign V124193 = V385329. assign V160498 = V577356. assign V743173 = V134798 + 1. assign V114906 = V203132 - 1. assign V907879 = V487907. assign V347748 = V258991. assign V439848 = V217678. assign V575141 = V104396 + 1. assign V484860 = V190085 - 1. assign V937137 = V133182 + 1. assign V512623 = V577356 - 1. assign V179740 = V217678 - 1. assign V181705 = V160498 - 1. assign V167004 = V203132. assign V393305 = V734368. assign V653963 = V211401 + 1. assign V471995 = V347748 - 1. assign V196310 = V015498 + 1. assign V932637 = V393305 + 1. assign V068711 = V470787. assign V734464 = V313483 + 1. assign V002097 = V258991. assign V753313 = V577356 + 1. assign V811391 = V091008. assign V655794 = V570027 + 1. assign V851552 = V337359. assign V755957 = V918855 - 1. assign V850871 = V894422 - 1. assign V660675 = V738483. assign V361548 = V041896 + 1. assign V895611 = V841419. assign V558296 = V794948 + 1. assign V385329 = V841419.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV738483 = 3;\n\nFrom these direct assignment(s), we have: \nV660675 = V738483 = 3;\nNo other variables can be derived from V660675;\nNo other variables can be derived from V738483;\n\nNow we have done all the calculations. Derived variables are:\nV738483 = 3;\nV660675 = 3;\n\nNow we have finished this problem. ANSWER:\nV738483, V660675\n", "role": "assistant" } ]

[ "V555564" ]

[ { "content": "<context>\nassign V021413 = V366351 - 1. assign V444717 = V218439 - 1. assign V196696 = V139811. assign V260756 = V514098. assign V101863 = V533941. assign V632530 = V002380. assign V179012 = V910428 + 1. assign V226396 = V098220 - 1. assign V854289 = V020966 - 1. assign V199161 = V098220 - 1. assign V020966 = V377906. assign V774786 = V446812. assign V852756 = V300572 + 1. assign V630849 = V324136 + 1. assign V139811 = V082674 - 1. assign V376151 = V956291 - 1. assign V869698 = V692312. assign V082674 = V692312 + 1. assign V315430 = V033842 + 1. assign V100951 = V716635 - 1. assign V246520 = V469536. assign V063131 = V446812. assign V192181 = V700566 - 1. assign V495013 = V057404 + 1. assign V910428 = V314880 - 1. assign V290609 = V814532. assign V528418 = V824656. assign V551085 = V057404. assign V935252 = V941350. assign V484877 = V218439 + 1. assign V314880 = V941350. assign V659254 = V538932. assign V760331 = V082674 + 1. assign V727327 = V968345 + 1. assign V941350 = V551085. assign V362097 = V068288 + 1. assign V886397 = V721240. assign V290772 = V692312 + 1. assign V181161 = V300572 + 1. assign V351550 = V194916 - 1. assign V313468 = V721240. assign V064502 = V941350 - 1. assign V880146 = V700566 - 1. assign V033842 = V444717. assign V968345 = V709288. assign V812642 = V601277. assign V692312 = V057404 + 1. assign V716563 = V313838 + 1. assign V436048 = V313838 + 1. assign V372561 = V098220. assign V533941 = V021413. assign V892820 = V338885. assign V952064 = V068288 - 1. assign V002380 = V300572 - 1. assign V824656 = V891937. assign V022534 = V377906. assign V556911 = V968345. assign V975128 = V869698. assign V986552 = V906837 - 1. assign V046987 = V727327. assign V414086 = V910428 + 1. assign V538932 = V533941 - 1. assign V260145 = V794083 - 1. assign V560712 = V555564 - 1. assign V891937 = V314880 + 1. assign V534725 = V514098. assign V259299 = V115485 + 1. assign V561277 = V068288 - 1. assign V296082 = V057404 - 1. assign V319810 = V057404. assign V209114 = V314880 - 1. assign V628720 = V533941. assign V794083 = V290772. assign V942668 = V057404. assign V338885 = V920046 + 1. assign V857161 = V115485 - 1. assign V013140 = V760331 + 1. assign V313838 = V315430 + 1. assign V601277 = V814532 + 1. assign V809844 = V833604. assign V682035 = V209114. assign V829653 = V859474. assign V115485 = V561277 - 1. assign V920046 = V314880 + 1. assign V157173 = V338885 + 1. assign V929199 = V377906. assign V934727 = V727327. assign V768230 = V712484. assign V080767 = V200441. assign V300572 = V082674 - 1. assign V027696 = V446812 + 1. assign V712484 = V082674. assign V028422 = V538932 + 1. assign V934663 = V942668 + 1. assign V200441 = V910428. assign V998695 = V226396 - 1. assign V337154 = V678277. assign V775363 = V538932. assign V515495 = V721240 - 1. assign V366351 = V692312 - 1. assign V795881 = V978016 - 1. assign V906837 = V891937 + 1. assign V264606 = V968345 + 1. assign V796172 = V181161 - 1. assign V068288 = V021413 - 1. assign V363844 = V952064. assign V172777 = V929199 + 1. assign V014517 = V319810 - 1. assign V321046 = V712484 + 1. assign V749232 = V057404. assign V324136 = V021413. assign V370067 = V138465. assign V781070 = V057404 - 1. assign V112786 = V179691 - 1. assign V296889 = V393914 - 1. assign V210253 = V749232 - 1. assign V261003 = V446812 - 1. assign V656071 = V362097. assign V678277 = V082674. assign V721240 = V057404 - 1. assign V368302 = V968345 + 1. assign V775034 = V300572 - 1. assign V471892 = V027696. assign V961024 = V920046 + 1. assign V262518 = V659254 - 1. assign V716635 = V314880 + 1. assign V342977 = V226396. assign V138465 = V727327 + 1. assign V344656 = V920046 - 1. assign V833604 = V961024 + 1. assign V830969 = V775363. assign V200351 = V515495 + 1. assign V146568 = V338885 - 1. assign V023344 = V978016 - 1. assign V179691 = V082674 - 1. assign V240454 = V338885 + 1. assign V662958 = V749232 - 1. assign V960579 = V478281. assign V254477 = V471892. assign V681153 = V315430 - 1. assign V514098 = V218439 + 1. assign V469536 = V446812 - 1. assign V978016 = V112786 - 1. assign V814532 = V833604 + 1. assign V393914 = V920046 + 1. assign V446812 = V057404 + 1. assign V859474 = V260145. assign V745967 = V910428 + 1. assign V909336 = V057404. assign V948441 = V666162. assign V839714 = V046987 + 1. assign V709288 = V961024. assign V194916 = V226396. assign V552290 = V082674 - 1. assign V666162 = V064502. assign V098220 = V027696 - 1. assign V218439 = V021413 - 1. assign V700566 = V344656 + 1. assign V674941 = V920046 + 1. assign V478281 = V444717 + 1. assign V414422 = V080767. assign V745963 = V210253. assign V555564 = 4. assign V502964 = V098220 - 1. assign V630655 = V674941 - 1. assign V210214 = V260756 + 1. assign V956291 = V082674 + 1. assign V480739 = V561277 + 1. assign V377906 = V515495 - 1. assign V929063 = V960579. assign V175859 = V080767 + 1. assign V968078 = V315430 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V021413 = V366351 - 1. assign V444717 = V218439 - 1. assign V196696 = V139811. assign V260756 = V514098. assign V101863 = V533941. assign V632530 = V002380. assign V179012 = V910428 + 1. assign V226396 = V098220 - 1. assign V854289 = V020966 - 1. assign V199161 = V098220 - 1. assign V020966 = V377906. assign V774786 = V446812. assign V852756 = V300572 + 1. assign V630849 = V324136 + 1. assign V139811 = V082674 - 1. assign V376151 = V956291 - 1. assign V869698 = V692312. assign V082674 = V692312 + 1. assign V315430 = V033842 + 1. assign V100951 = V716635 - 1. assign V246520 = V469536. assign V063131 = V446812. assign V192181 = V700566 - 1. assign V495013 = V057404 + 1. assign V910428 = V314880 - 1. assign V290609 = V814532. assign V528418 = V824656. assign V551085 = V057404. assign V935252 = V941350. assign V484877 = V218439 + 1. assign V314880 = V941350. assign V659254 = V538932. assign V760331 = V082674 + 1. assign V727327 = V968345 + 1. assign V941350 = V551085. assign V362097 = V068288 + 1. assign V886397 = V721240. assign V290772 = V692312 + 1. assign V181161 = V300572 + 1. assign V351550 = V194916 - 1. assign V313468 = V721240. assign V064502 = V941350 - 1. assign V880146 = V700566 - 1. assign V033842 = V444717. assign V968345 = V709288. assign V812642 = V601277. assign V692312 = V057404 + 1. assign V716563 = V313838 + 1. assign V436048 = V313838 + 1. assign V372561 = V098220. assign V533941 = V021413. assign V892820 = V338885. assign V952064 = V068288 - 1. assign V002380 = V300572 - 1. assign V824656 = V891937. assign V022534 = V377906. assign V556911 = V968345. assign V975128 = V869698. assign V986552 = V906837 - 1. assign V046987 = V727327. assign V414086 = V910428 + 1. assign V538932 = V533941 - 1. assign V260145 = V794083 - 1. assign V560712 = V555564 - 1. assign V891937 = V314880 + 1. assign V534725 = V514098. assign V259299 = V115485 + 1. assign V561277 = V068288 - 1. assign V296082 = V057404 - 1. assign V319810 = V057404. assign V209114 = V314880 - 1. assign V628720 = V533941. assign V794083 = V290772. assign V942668 = V057404. assign V338885 = V920046 + 1. assign V857161 = V115485 - 1. assign V013140 = V760331 + 1. assign V313838 = V315430 + 1. assign V601277 = V814532 + 1. assign V809844 = V833604. assign V682035 = V209114. assign V829653 = V859474. assign V115485 = V561277 - 1. assign V920046 = V314880 + 1. assign V157173 = V338885 + 1. assign V929199 = V377906. assign V934727 = V727327. assign V768230 = V712484. assign V080767 = V200441. assign V300572 = V082674 - 1. assign V027696 = V446812 + 1. assign V712484 = V082674. assign V028422 = V538932 + 1. assign V934663 = V942668 + 1. assign V200441 = V910428. assign V998695 = V226396 - 1. assign V337154 = V678277. assign V775363 = V538932. assign V515495 = V721240 - 1. assign V366351 = V692312 - 1. assign V795881 = V978016 - 1. assign V906837 = V891937 + 1. assign V264606 = V968345 + 1. assign V796172 = V181161 - 1. assign V068288 = V021413 - 1. assign V363844 = V952064. assign V172777 = V929199 + 1. assign V014517 = V319810 - 1. assign V321046 = V712484 + 1. assign V749232 = V057404. assign V324136 = V021413. assign V370067 = V138465. assign V781070 = V057404 - 1. assign V112786 = V179691 - 1. assign V296889 = V393914 - 1. assign V210253 = V749232 - 1. assign V261003 = V446812 - 1. assign V656071 = V362097. assign V678277 = V082674. assign V721240 = V057404 - 1. assign V368302 = V968345 + 1. assign V775034 = V300572 - 1. assign V471892 = V027696. assign V961024 = V920046 + 1. assign V262518 = V659254 - 1. assign V716635 = V314880 + 1. assign V342977 = V226396. assign V138465 = V727327 + 1. assign V344656 = V920046 - 1. assign V833604 = V961024 + 1. assign V830969 = V775363. assign V200351 = V515495 + 1. assign V146568 = V338885 - 1. assign V023344 = V978016 - 1. assign V179691 = V082674 - 1. assign V240454 = V338885 + 1. assign V662958 = V749232 - 1. assign V960579 = V478281. assign V254477 = V471892. assign V681153 = V315430 - 1. assign V514098 = V218439 + 1. assign V469536 = V446812 - 1. assign V978016 = V112786 - 1. assign V814532 = V833604 + 1. assign V393914 = V920046 + 1. assign V446812 = V057404 + 1. assign V859474 = V260145. assign V745967 = V910428 + 1. assign V909336 = V057404. assign V948441 = V666162. assign V839714 = V046987 + 1. assign V709288 = V961024. assign V194916 = V226396. assign V552290 = V082674 - 1. assign V666162 = V064502. assign V098220 = V027696 - 1. assign V218439 = V021413 - 1. assign V700566 = V344656 + 1. assign V674941 = V920046 + 1. assign V478281 = V444717 + 1. assign V414422 = V080767. assign V745963 = V210253. assign V555564 = 4. assign V502964 = V098220 - 1. assign V630655 = V674941 - 1. assign V210214 = V260756 + 1. assign V956291 = V082674 + 1. assign V480739 = V561277 + 1. assign V377906 = V515495 - 1. assign V929063 = V960579. assign V175859 = V080767 + 1. assign V968078 = V315430 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV555564 = 4;\n\nFrom these direct assignment(s), we have: \nV560712 = V555564 - 1 = 4 - 1 =3;\nNo other variables can be derived from V560712;\nNo other variables can be derived from V555564;\n\nNow we have done all the calculations. Derived variables are:\nV555564 = 4;\nV560712 = 3;\n\nNow we have finished this problem. ANSWER:\nV555564\n", "role": "assistant" } ]

[ "V522428" ]

[ { "content": "<context>\nassign V607847 = V311318 + 1. assign V961555 = V122480 + 1. assign V600578 = V985602 + 1. assign V437600 = V332992. assign V349640 = V847738. assign V433229 = V363218 + 1. assign V784320 = V758354 + 1. assign V334168 = V571034 - 1. assign V355478 = V469433 + 1. assign V752720 = V242404. assign V840771 = V696576 + 1. assign V680350 = V023781 + 1. assign V530114 = V703097 + 1. assign V317811 = V349640 - 1. assign V761314 = V846268 + 1. assign V718480 = V295327. assign V023781 = V543037. assign V862629 = V530114. assign V254579 = V571034. assign V806140 = V317811 - 1. assign V323568 = V703097 - 1. assign V341884 = V191985 + 1. assign V305455 = V300358. assign V314604 = V209471. assign V016782 = V495829 - 1. assign V546645 = V604989 - 1. assign V781657 = V196048. assign V363218 = V108203 + 1. assign V344745 = V509560 + 1. assign V196048 = V490865 + 1. assign V549225 = V311318. assign V509560 = V624959. assign V793191 = V044922 + 1. assign V265141 = V363218 - 1. assign V856477 = V414405 - 1. assign V081176 = V571034 - 1. assign V158890 = V868425 - 1. assign V191985 = V624959 + 1. assign V604989 = V349640. assign V960680 = V604989. assign V558002 = V847738 - 1. assign V033098 = V604989 + 1. assign V993844 = V549225. assign V183950 = V601956 + 1. assign V400071 = V560932 - 1. assign V318521 = V509560 - 1. assign V858495 = V490865 - 1. assign V588467 = V463032. assign V042058 = V349640 - 1. assign V648787 = V714882. assign V721853 = V042058 + 1. assign V198395 = V033973 + 1. assign V314776 = V960680 + 1. assign V198000 = V060227. assign V010282 = V414405 - 1. assign V437787 = V979327 - 1. assign V033973 = V044922. assign V937776 = V332992. assign V365811 = V793191 + 1. assign V369050 = V744031 + 1. assign V749842 = V351061. assign V210358 = V680350 + 1. assign V332992 = V579773. assign V621539 = V402658 - 1. assign V624959 = V937776 - 1. assign V829727 = V703097 + 1. assign V270852 = V604989 + 1. assign V093425 = V806140. assign V601956 = V270852 + 1. assign V971822 = V546645 - 1. assign V543037 = V044922 - 1. assign V608747 = V023781 - 1. assign V259006 = V348325 + 1. assign V526303 = V461349 + 1. assign V709597 = V979327 - 1. assign V351061 = V714882 + 1. assign V495829 = V355478 + 1. assign V744031 = V774723 - 1. assign V122480 = V624959. assign V171714 = V914010. assign V593927 = V806140 - 1. assign V748524 = V042058 + 1. assign V878515 = V799153 - 1. assign V689545 = V604989. assign V060227 = V332992 + 1. assign V108203 = V960680 + 1. assign V888701 = V323568 - 1. assign V335157 = V748056 + 1. assign V748056 = V349640. assign V479684 = V604989 - 1. assign V847738 = V579773. assign V560932 = V761314 - 1. assign V998205 = V495829 - 1. assign V985602 = V317811 + 1. assign V227967 = V846268. assign V461349 = V774723 - 1. assign V703097 = V847738 + 1. assign V552505 = V558002. assign V979327 = V530114 + 1. assign V723918 = V979327 - 1. assign V208478 = V060227. assign V242404 = V960680 - 1. assign V447309 = V975958 - 1. assign V001359 = V196048 - 1. assign V414405 = V437600. assign V170355 = V107235 - 1. assign V620168 = V549225. assign V846268 = V355478 + 1. assign V107235 = V961555. assign V490865 = V295327. assign V696576 = V486338. assign V914010 = V348325 + 1. assign V609842 = V601956 + 1. assign V586027 = V721853. assign V994846 = V714882 + 1. assign V643710 = V894246 + 1. assign V754139 = V638464 - 1. assign V868425 = V033973. assign V934283 = V543037 - 1. assign V522428 = 0. assign V079382 = V351061 - 1. assign V437732 = V349640 - 1. assign V067863 = V348325 + 1. assign V975958 = V558002 + 1. assign V105042 = V888701. assign V549257 = V348325. assign V774723 = V437600 - 1. assign V611391 = V638464. assign V759232 = V369050. assign V311318 = V332992 + 1. assign V127468 = V774723. assign V590997 = V806140 - 1. assign V263210 = V042058 - 1. assign V894246 = V447309. assign V902922 = V447309. assign V044922 = V042058 - 1. assign V794616 = V558002. assign V707809 = V414405. assign V806854 = V317811 + 1. assign V463032 = V552505 - 1. assign V758354 = V295327. assign V229699 = V490865 + 1. assign V304717 = V001359 - 1. assign V117155 = V522428 + 1. assign V743068 = V680350 - 1. assign V571034 = V437600. assign V878586 = V060227. assign V032904 = V758354. assign V627214 = V386206 + 1. assign V981146 = V490865 - 1. assign V836223 = V198000 - 1. assign V420521 = V044922 - 1. assign V982823 = V469433 - 1. assign V714882 = V311318 - 1. assign V278525 = V042058 + 1. assign V572969 = V259006 + 1. assign V300358 = V259006 + 1. assign V638464 = V001359. assign V402658 = V774723 + 1. assign V704099 = V278525 + 1. assign V767187 = V526303 + 1. assign V582552 = V911513. assign V386206 = V348325. assign V911513 = V604989. assign V486338 = V270852 + 1. assign V799153 = V158890 + 1. assign V852735 = V543037. assign V287774 = V571034 - 1. assign V348325 = V332992. assign V295327 = V349640. assign V209471 = V042058. assign V469433 = V774723 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V607847 = V311318 + 1. assign V961555 = V122480 + 1. assign V600578 = V985602 + 1. assign V437600 = V332992. assign V349640 = V847738. assign V433229 = V363218 + 1. assign V784320 = V758354 + 1. assign V334168 = V571034 - 1. assign V355478 = V469433 + 1. assign V752720 = V242404. assign V840771 = V696576 + 1. assign V680350 = V023781 + 1. assign V530114 = V703097 + 1. assign V317811 = V349640 - 1. assign V761314 = V846268 + 1. assign V718480 = V295327. assign V023781 = V543037. assign V862629 = V530114. assign V254579 = V571034. assign V806140 = V317811 - 1. assign V323568 = V703097 - 1. assign V341884 = V191985 + 1. assign V305455 = V300358. assign V314604 = V209471. assign V016782 = V495829 - 1. assign V546645 = V604989 - 1. assign V781657 = V196048. assign V363218 = V108203 + 1. assign V344745 = V509560 + 1. assign V196048 = V490865 + 1. assign V549225 = V311318. assign V509560 = V624959. assign V793191 = V044922 + 1. assign V265141 = V363218 - 1. assign V856477 = V414405 - 1. assign V081176 = V571034 - 1. assign V158890 = V868425 - 1. assign V191985 = V624959 + 1. assign V604989 = V349640. assign V960680 = V604989. assign V558002 = V847738 - 1. assign V033098 = V604989 + 1. assign V993844 = V549225. assign V183950 = V601956 + 1. assign V400071 = V560932 - 1. assign V318521 = V509560 - 1. assign V858495 = V490865 - 1. assign V588467 = V463032. assign V042058 = V349640 - 1. assign V648787 = V714882. assign V721853 = V042058 + 1. assign V198395 = V033973 + 1. assign V314776 = V960680 + 1. assign V198000 = V060227. assign V010282 = V414405 - 1. assign V437787 = V979327 - 1. assign V033973 = V044922. assign V937776 = V332992. assign V365811 = V793191 + 1. assign V369050 = V744031 + 1. assign V749842 = V351061. assign V210358 = V680350 + 1. assign V332992 = V579773. assign V621539 = V402658 - 1. assign V624959 = V937776 - 1. assign V829727 = V703097 + 1. assign V270852 = V604989 + 1. assign V093425 = V806140. assign V601956 = V270852 + 1. assign V971822 = V546645 - 1. assign V543037 = V044922 - 1. assign V608747 = V023781 - 1. assign V259006 = V348325 + 1. assign V526303 = V461349 + 1. assign V709597 = V979327 - 1. assign V351061 = V714882 + 1. assign V495829 = V355478 + 1. assign V744031 = V774723 - 1. assign V122480 = V624959. assign V171714 = V914010. assign V593927 = V806140 - 1. assign V748524 = V042058 + 1. assign V878515 = V799153 - 1. assign V689545 = V604989. assign V060227 = V332992 + 1. assign V108203 = V960680 + 1. assign V888701 = V323568 - 1. assign V335157 = V748056 + 1. assign V748056 = V349640. assign V479684 = V604989 - 1. assign V847738 = V579773. assign V560932 = V761314 - 1. assign V998205 = V495829 - 1. assign V985602 = V317811 + 1. assign V227967 = V846268. assign V461349 = V774723 - 1. assign V703097 = V847738 + 1. assign V552505 = V558002. assign V979327 = V530114 + 1. assign V723918 = V979327 - 1. assign V208478 = V060227. assign V242404 = V960680 - 1. assign V447309 = V975958 - 1. assign V001359 = V196048 - 1. assign V414405 = V437600. assign V170355 = V107235 - 1. assign V620168 = V549225. assign V846268 = V355478 + 1. assign V107235 = V961555. assign V490865 = V295327. assign V696576 = V486338. assign V914010 = V348325 + 1. assign V609842 = V601956 + 1. assign V586027 = V721853. assign V994846 = V714882 + 1. assign V643710 = V894246 + 1. assign V754139 = V638464 - 1. assign V868425 = V033973. assign V934283 = V543037 - 1. assign V522428 = 0. assign V079382 = V351061 - 1. assign V437732 = V349640 - 1. assign V067863 = V348325 + 1. assign V975958 = V558002 + 1. assign V105042 = V888701. assign V549257 = V348325. assign V774723 = V437600 - 1. assign V611391 = V638464. assign V759232 = V369050. assign V311318 = V332992 + 1. assign V127468 = V774723. assign V590997 = V806140 - 1. assign V263210 = V042058 - 1. assign V894246 = V447309. assign V902922 = V447309. assign V044922 = V042058 - 1. assign V794616 = V558002. assign V707809 = V414405. assign V806854 = V317811 + 1. assign V463032 = V552505 - 1. assign V758354 = V295327. assign V229699 = V490865 + 1. assign V304717 = V001359 - 1. assign V117155 = V522428 + 1. assign V743068 = V680350 - 1. assign V571034 = V437600. assign V878586 = V060227. assign V032904 = V758354. assign V627214 = V386206 + 1. assign V981146 = V490865 - 1. assign V836223 = V198000 - 1. assign V420521 = V044922 - 1. assign V982823 = V469433 - 1. assign V714882 = V311318 - 1. assign V278525 = V042058 + 1. assign V572969 = V259006 + 1. assign V300358 = V259006 + 1. assign V638464 = V001359. assign V402658 = V774723 + 1. assign V704099 = V278525 + 1. assign V767187 = V526303 + 1. assign V582552 = V911513. assign V386206 = V348325. assign V911513 = V604989. assign V486338 = V270852 + 1. assign V799153 = V158890 + 1. assign V852735 = V543037. assign V287774 = V571034 - 1. assign V348325 = V332992. assign V295327 = V349640. assign V209471 = V042058. assign V469433 = V774723 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV522428 = 0;\n\nFrom these direct assignment(s), we have: \nV117155 = V522428 + 1 = 0 + 1 =1;\nNo other variables can be derived from V117155;\nNo other variables can be derived from V522428;\n\nNow we have done all the calculations. Derived variables are:\nV522428 = 0;\nV117155 = 1;\n\nNow we have finished this problem. ANSWER:\nV522428\n", "role": "assistant" } ]

[ "V727026" ]

[ { "content": "<context>\nassign V347879 = V952088 + 1. assign V746257 = V312250 - 1. assign V549463 = V150767 - 1. assign V627981 = V205821 - 1. assign V597530 = V347879. assign V734091 = V764158. assign V375779 = V639049 - 1. assign V318689 = V727026 - 1. assign V337997 = V312446. assign V081580 = V186172 - 1. assign V392391 = V259067. assign V690267 = V457957. assign V363873 = V838088 - 1. assign V643137 = V919142 - 1. assign V631806 = V832825 - 1. assign V540279 = V933837. assign V449689 = V038023. assign V457957 = V938266 - 1. assign V946200 = V842873 + 1. assign V141385 = V499625 + 1. assign V872134 = V870792. assign V522818 = V638622 - 1. assign V401024 = V798706. assign V852737 = V042092. assign V640543 = V392391 + 1. assign V770596 = V205821 + 1. assign V338017 = V540279 + 1. assign V838088 = V046599. assign V042092 = V886198 + 1. assign V289247 = V872134 + 1. assign V917017 = V640543. assign V606226 = V092783 + 1. assign V286259 = V264982 + 1. assign V765168 = V631806. assign V990571 = V886198 - 1. assign V746226 = V768227 + 1. assign V928651 = V112396. assign V933837 = V759160 - 1. assign V188778 = V536536 - 1. assign V832825 = V205821 + 1. assign V116813 = V038023 + 1. assign V540689 = V956412. assign V205821 = V886198 - 1. assign V617257 = V040561. assign V038023 = V439969 - 1. assign V202089 = V690619 + 1. assign V036106 = V577331 + 1. assign V850190 = V420560. assign V652499 = V759160 - 1. assign V464449 = V952088. assign V660548 = V205821 + 1. assign V886000 = V176867 + 1. assign V594383 = V454733 - 1. assign V135092 = V515948 + 1. assign V727026 = 8. assign V759160 = V607216 + 1. assign V378004 = V176867 + 1. assign V590420 = V282648 - 1. assign V120556 = V768227 - 1. assign V217649 = V672683 + 1. assign V607216 = V437043 + 1. assign V269951 = V886198. assign V309133 = V464449 + 1. assign V237988 = V638622 + 1. assign V430204 = V816892 - 1. assign V897637 = V042092 + 1. assign V675221 = V202089 - 1. assign V524800 = V040561. assign V149636 = V563044 - 1. assign V264982 = V606226. assign V912510 = V919142 + 1. assign V670322 = V430204 - 1. assign V768227 = V205821. assign V712952 = V956412 + 1. assign V244297 = V264982. assign V040483 = V081580. assign V623891 = V952088 + 1. assign V177741 = V594383. assign V976410 = V660548 - 1. assign V437043 = V819158. assign V702906 = V832825 - 1. assign V726852 = V764158 + 1. assign V857840 = V515948 + 1. assign V282648 = V838088 + 1. assign V638622 = V909035. assign V855579 = V816892 + 1. assign V565980 = V956412. assign V005724 = V769437 + 1. assign V997237 = V870792 - 1. assign V298144 = V819158 + 1. assign V639049 = V040561 - 1. assign V629765 = V204104. assign V527218 = V515948 - 1. assign V290588 = V952088 + 1. assign V186323 = V026293. assign V649569 = V112396 + 1. assign V150767 = V244297 + 1. assign V253489 = V066612 + 1. assign V404212 = V439969. assign V237791 = V269951 - 1. assign V629188 = V244297 - 1. assign V312250 = V042092. assign V420560 = V886000. assign V953281 = V670322 + 1. assign V870792 = V594383 + 1. assign V819158 = V838088 + 1. assign V536536 = V990571. assign V066612 = V627981 + 1. assign V499625 = V919142. assign V909035 = V205821. assign V563044 = V176867 - 1. assign V956412 = V042092 + 1. assign V672960 = V269951 - 1. assign V061214 = V312250. assign V824042 = V819158 - 1. assign V096235 = V838088 - 1. assign V312446 = V825495. assign V764158 = V392391 + 1. assign V439969 = V952088. assign V515948 = V769437. assign V204104 = V290588. assign V909735 = V976410. assign V615025 = V438010. assign V952088 = V046599 - 1. assign V798706 = V872134 + 1. assign V816892 = V042092. assign V147023 = V150767 - 1. assign V938266 = V536536 - 1. assign V475765 = V660548. assign V769437 = V081580 + 1. assign V919142 = V627981. assign V492703 = V594383 + 1. assign V857914 = V976410 + 1. assign V892691 = V186172. assign V886198 = V046599 + 1. assign V825495 = V952088 - 1. assign V040561 = V952088. assign V454733 = V186172. assign V672683 = V205821 + 1. assign V421211 = V896645. assign V915461 = V515948 + 1. assign V026293 = V819158 + 1. assign V599374 = V855579. assign V374936 = V404212 + 1. assign V213515 = V081580 - 1. assign V529808 = V046599 - 1. assign V557522 = V536536 + 1. assign V314021 = V896645 + 1. assign V117456 = V186323 + 1. assign V438010 = V824042 - 1. assign V812026 = V186172 + 1. assign V842873 = V565980 + 1. assign V112396 = V594383 - 1. assign V779948 = V454733. assign V259067 = V768227 + 1. assign V291894 = V557522 + 1. assign V480652 = V046599 - 1. assign V896645 = V188778. assign V577331 = V309133 - 1. assign V493244 = V527218 + 1. assign V126145 = V812026 - 1. assign V690619 = V259067. assign V176867 = V838088 + 1. assign V556000 = V798706 - 1. assign V078669 = V819158 + 1. assign V819170 = V892691. assign V247842 = V437043. assign V427973 = V857840 + 1. assign V838091 = V186172. assign V186172 = V952088 - 1. assign V092783 = V886198. assign V181205 = V649569.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V347879 = V952088 + 1. assign V746257 = V312250 - 1. assign V549463 = V150767 - 1. assign V627981 = V205821 - 1. assign V597530 = V347879. assign V734091 = V764158. assign V375779 = V639049 - 1. assign V318689 = V727026 - 1. assign V337997 = V312446. assign V081580 = V186172 - 1. assign V392391 = V259067. assign V690267 = V457957. assign V363873 = V838088 - 1. assign V643137 = V919142 - 1. assign V631806 = V832825 - 1. assign V540279 = V933837. assign V449689 = V038023. assign V457957 = V938266 - 1. assign V946200 = V842873 + 1. assign V141385 = V499625 + 1. assign V872134 = V870792. assign V522818 = V638622 - 1. assign V401024 = V798706. assign V852737 = V042092. assign V640543 = V392391 + 1. assign V770596 = V205821 + 1. assign V338017 = V540279 + 1. assign V838088 = V046599. assign V042092 = V886198 + 1. assign V289247 = V872134 + 1. assign V917017 = V640543. assign V606226 = V092783 + 1. assign V286259 = V264982 + 1. assign V765168 = V631806. assign V990571 = V886198 - 1. assign V746226 = V768227 + 1. assign V928651 = V112396. assign V933837 = V759160 - 1. assign V188778 = V536536 - 1. assign V832825 = V205821 + 1. assign V116813 = V038023 + 1. assign V540689 = V956412. assign V205821 = V886198 - 1. assign V617257 = V040561. assign V038023 = V439969 - 1. assign V202089 = V690619 + 1. assign V036106 = V577331 + 1. assign V850190 = V420560. assign V652499 = V759160 - 1. assign V464449 = V952088. assign V660548 = V205821 + 1. assign V886000 = V176867 + 1. assign V594383 = V454733 - 1. assign V135092 = V515948 + 1. assign V727026 = 8. assign V759160 = V607216 + 1. assign V378004 = V176867 + 1. assign V590420 = V282648 - 1. assign V120556 = V768227 - 1. assign V217649 = V672683 + 1. assign V607216 = V437043 + 1. assign V269951 = V886198. assign V309133 = V464449 + 1. assign V237988 = V638622 + 1. assign V430204 = V816892 - 1. assign V897637 = V042092 + 1. assign V675221 = V202089 - 1. assign V524800 = V040561. assign V149636 = V563044 - 1. assign V264982 = V606226. assign V912510 = V919142 + 1. assign V670322 = V430204 - 1. assign V768227 = V205821. assign V712952 = V956412 + 1. assign V244297 = V264982. assign V040483 = V081580. assign V623891 = V952088 + 1. assign V177741 = V594383. assign V976410 = V660548 - 1. assign V437043 = V819158. assign V702906 = V832825 - 1. assign V726852 = V764158 + 1. assign V857840 = V515948 + 1. assign V282648 = V838088 + 1. assign V638622 = V909035. assign V855579 = V816892 + 1. assign V565980 = V956412. assign V005724 = V769437 + 1. assign V997237 = V870792 - 1. assign V298144 = V819158 + 1. assign V639049 = V040561 - 1. assign V629765 = V204104. assign V527218 = V515948 - 1. assign V290588 = V952088 + 1. assign V186323 = V026293. assign V649569 = V112396 + 1. assign V150767 = V244297 + 1. assign V253489 = V066612 + 1. assign V404212 = V439969. assign V237791 = V269951 - 1. assign V629188 = V244297 - 1. assign V312250 = V042092. assign V420560 = V886000. assign V953281 = V670322 + 1. assign V870792 = V594383 + 1. assign V819158 = V838088 + 1. assign V536536 = V990571. assign V066612 = V627981 + 1. assign V499625 = V919142. assign V909035 = V205821. assign V563044 = V176867 - 1. assign V956412 = V042092 + 1. assign V672960 = V269951 - 1. assign V061214 = V312250. assign V824042 = V819158 - 1. assign V096235 = V838088 - 1. assign V312446 = V825495. assign V764158 = V392391 + 1. assign V439969 = V952088. assign V515948 = V769437. assign V204104 = V290588. assign V909735 = V976410. assign V615025 = V438010. assign V952088 = V046599 - 1. assign V798706 = V872134 + 1. assign V816892 = V042092. assign V147023 = V150767 - 1. assign V938266 = V536536 - 1. assign V475765 = V660548. assign V769437 = V081580 + 1. assign V919142 = V627981. assign V492703 = V594383 + 1. assign V857914 = V976410 + 1. assign V892691 = V186172. assign V886198 = V046599 + 1. assign V825495 = V952088 - 1. assign V040561 = V952088. assign V454733 = V186172. assign V672683 = V205821 + 1. assign V421211 = V896645. assign V915461 = V515948 + 1. assign V026293 = V819158 + 1. assign V599374 = V855579. assign V374936 = V404212 + 1. assign V213515 = V081580 - 1. assign V529808 = V046599 - 1. assign V557522 = V536536 + 1. assign V314021 = V896645 + 1. assign V117456 = V186323 + 1. assign V438010 = V824042 - 1. assign V812026 = V186172 + 1. assign V842873 = V565980 + 1. assign V112396 = V594383 - 1. assign V779948 = V454733. assign V259067 = V768227 + 1. assign V291894 = V557522 + 1. assign V480652 = V046599 - 1. assign V896645 = V188778. assign V577331 = V309133 - 1. assign V493244 = V527218 + 1. assign V126145 = V812026 - 1. assign V690619 = V259067. assign V176867 = V838088 + 1. assign V556000 = V798706 - 1. assign V078669 = V819158 + 1. assign V819170 = V892691. assign V247842 = V437043. assign V427973 = V857840 + 1. assign V838091 = V186172. assign V186172 = V952088 - 1. assign V092783 = V886198. assign V181205 = V649569.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV727026 = 8;\n\nFrom these direct assignment(s), we have: \nV318689 = V727026 - 1 = 8 - 1 =7;\nNo other variables can be derived from V318689;\nNo other variables can be derived from V727026;\n\nNow we have done all the calculations. Derived variables are:\nV727026 = 8;\nV318689 = 7;\n\nNow we have finished this problem. ANSWER:\nV727026\n", "role": "assistant" } ]

[ "V941998", "V804830" ]

[ { "content": "<context>\nassign V058172 = V184348 - 1. assign V868985 = V078294 - 1. assign V064651 = V163620 - 1. assign V052790 = V358331 - 1. assign V163620 = V485780 + 1. assign V184348 = V230759 - 1. assign V676434 = V783541 + 1. assign V103711 = V105333 - 1. assign V287440 = V319589 + 1. assign V313973 = V103711 - 1. assign V295803 = V301738. assign V982065 = V139553. assign V238297 = V601067 - 1. assign V159868 = V868985 - 1. assign V334062 = V052790. assign V180097 = V031246 - 1. assign V945710 = V230759. assign V601943 = V528138 + 1. assign V436079 = V398596 + 1. assign V171515 = V299183 - 1. assign V299935 = V967655. assign V578466 = V868985 - 1. assign V158838 = V398596. assign V702364 = V913367. assign V673220 = V477946 + 1. assign V969323 = V148170 - 1. assign V489069 = V163620 + 1. assign V968832 = V159868 + 1. assign V229734 = V638425 + 1. assign V398596 = V832544 + 1. assign V027637 = V795473 + 1. assign V478387 = V052790 - 1. assign V398225 = V505142. assign V191097 = V286717 + 1. assign V688757 = V417517. assign V493113 = V031246 - 1. assign V515665 = V148170. assign V734520 = V413292 - 1. assign V034339 = V730408 - 1. assign V588887 = V026333 - 1. assign V670644 = V662103. assign V355436 = V637200. assign V840215 = V287950. assign V331269 = V018598. assign V954231 = V578466. assign V555993 = V795473 + 1. assign V286910 = V163620 - 1. assign V328360 = V775415 + 1. assign V143416 = V184348. assign V935342 = V638425 + 1. assign V734794 = V392885 + 1. assign V319589 = V105333 - 1. assign V690996 = V968476 + 1. assign V604452 = V734520. assign V105433 = V850349. assign V552310 = V528138 + 1. assign V795831 = V476313 - 1. assign V169078 = V143416. assign V031246 = V040034 - 1. assign V876448 = V734520. assign V967655 = V638425. assign V230759 = V868985 + 1. assign V983014 = V280466 + 1. assign V505142 = V078294 + 1. assign V057807 = V673220 - 1. assign V287950 = V764403 + 1. assign V319140 = V795473 + 1. assign V671096 = V726754. assign V232201 = V637200 - 1. assign V795473 = V832544 + 1. assign V426269 = V521808. assign V017465 = V148170 - 1. assign V483013 = V588887. assign V567931 = V521808 + 1. assign V148170 = V690996 - 1. assign V179159 = V376492 - 1. assign V667194 = V982065. assign V519961 = V783541. assign V091915 = V413292 + 1. assign V981855 = V078294 + 1. assign V783541 = V158838 + 1. assign V638425 = V282191 - 1. assign V466483 = V301738. assign V772045 = V398596 - 1. assign V941998 = 10. assign V517878 = V477946. assign V485780 = V734520 + 1. assign V764403 = V358331. assign V528138 = V273082 - 1. assign V031118 = V477946. assign V189277 = V462451 - 1. assign V651232 = V282191. assign V134028 = V273082 + 1. assign V402421 = V764403 - 1. assign V986460 = V873901 + 1. assign V873901 = V184348 - 1. assign V105333 = V078294. assign V673660 = V358331 - 1. assign V069897 = V493113. assign V018598 = V392775 + 1. assign V501744 = V493113. assign V329865 = V229734 - 1. assign V358331 = V730408. assign V662103 = V184348 - 1. assign V832544 = V730408 - 1. assign V040034 = V078294 - 1. assign V956578 = V507679. assign V301738 = V026333 - 1. assign V381127 = V159868 - 1. assign V299183 = V413292 - 1. assign V832030 = V982065. assign V970615 = V313973 + 1. assign V804830 = V941998. assign V476313 = V180097 + 1. assign V286717 = V034339. assign V156809 = V078294 + 1. assign V282191 = V319589. assign V609615 = V730408 + 1. assign V477946 = V319589 - 1. assign V376492 = V078294 - 1. assign V413292 = V040034 + 1. assign V554280 = V638425. assign V392775 = V229734. assign V797304 = V596760 - 1. assign V428308 = V143416 - 1. assign V631132 = V968476 - 1. assign V521808 = V428308 + 1. assign V371961 = V596760 - 1. assign V550299 = V058172 - 1. assign V026333 = V078294. assign V968476 = V031246 + 1. assign V222826 = V358331 + 1. assign V139553 = V868985 - 1. assign V901738 = V501744. assign V804441 = V148170 + 1. assign V061275 = V189277 + 1. assign V171606 = V031246 + 1. assign V601067 = V662103 + 1. assign V850349 = V159868. assign V455643 = V982065 - 1. assign V856327 = V521808. assign V530780 = V832544. assign V866425 = V085794. assign V426342 = V832030 + 1. assign V730408 = V078294 - 1. assign V142171 = V832544 + 1. assign V462451 = V040034. assign V913367 = V609615 + 1. assign V507679 = V850349 - 1. assign V205585 = V295803. assign V459184 = V355436 + 1. assign V085794 = V945710. assign V637200 = V493113. assign V046453 = V638425 + 1. assign V706962 = V775415 - 1. assign V318453 = V866970. assign V641418 = V184348 + 1. assign V817023 = V301738. assign V273082 = V673220 + 1. assign V280466 = V169078. assign V775415 = V273082 + 1. assign V417517 = V159868 + 1. assign V596760 = V358331 - 1. assign V301988 = V462451 + 1. assign V866970 = V462451 + 1. assign V592183 = V229734 + 1. assign V726754 = V637200 - 1. assign V507694 = V555993 - 1. assign V996772 = V637200 + 1. assign V392885 = V981855. assign V461558 = V528138 - 1. assign V927994 = V673220 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V058172 = V184348 - 1. assign V868985 = V078294 - 1. assign V064651 = V163620 - 1. assign V052790 = V358331 - 1. assign V163620 = V485780 + 1. assign V184348 = V230759 - 1. assign V676434 = V783541 + 1. assign V103711 = V105333 - 1. assign V287440 = V319589 + 1. assign V313973 = V103711 - 1. assign V295803 = V301738. assign V982065 = V139553. assign V238297 = V601067 - 1. assign V159868 = V868985 - 1. assign V334062 = V052790. assign V180097 = V031246 - 1. assign V945710 = V230759. assign V601943 = V528138 + 1. assign V436079 = V398596 + 1. assign V171515 = V299183 - 1. assign V299935 = V967655. assign V578466 = V868985 - 1. assign V158838 = V398596. assign V702364 = V913367. assign V673220 = V477946 + 1. assign V969323 = V148170 - 1. assign V489069 = V163620 + 1. assign V968832 = V159868 + 1. assign V229734 = V638425 + 1. assign V398596 = V832544 + 1. assign V027637 = V795473 + 1. assign V478387 = V052790 - 1. assign V398225 = V505142. assign V191097 = V286717 + 1. assign V688757 = V417517. assign V493113 = V031246 - 1. assign V515665 = V148170. assign V734520 = V413292 - 1. assign V034339 = V730408 - 1. assign V588887 = V026333 - 1. assign V670644 = V662103. assign V355436 = V637200. assign V840215 = V287950. assign V331269 = V018598. assign V954231 = V578466. assign V555993 = V795473 + 1. assign V286910 = V163620 - 1. assign V328360 = V775415 + 1. assign V143416 = V184348. assign V935342 = V638425 + 1. assign V734794 = V392885 + 1. assign V319589 = V105333 - 1. assign V690996 = V968476 + 1. assign V604452 = V734520. assign V105433 = V850349. assign V552310 = V528138 + 1. assign V795831 = V476313 - 1. assign V169078 = V143416. assign V031246 = V040034 - 1. assign V876448 = V734520. assign V967655 = V638425. assign V230759 = V868985 + 1. assign V983014 = V280466 + 1. assign V505142 = V078294 + 1. assign V057807 = V673220 - 1. assign V287950 = V764403 + 1. assign V319140 = V795473 + 1. assign V671096 = V726754. assign V232201 = V637200 - 1. assign V795473 = V832544 + 1. assign V426269 = V521808. assign V017465 = V148170 - 1. assign V483013 = V588887. assign V567931 = V521808 + 1. assign V148170 = V690996 - 1. assign V179159 = V376492 - 1. assign V667194 = V982065. assign V519961 = V783541. assign V091915 = V413292 + 1. assign V981855 = V078294 + 1. assign V783541 = V158838 + 1. assign V638425 = V282191 - 1. assign V466483 = V301738. assign V772045 = V398596 - 1. assign V941998 = 10. assign V517878 = V477946. assign V485780 = V734520 + 1. assign V764403 = V358331. assign V528138 = V273082 - 1. assign V031118 = V477946. assign V189277 = V462451 - 1. assign V651232 = V282191. assign V134028 = V273082 + 1. assign V402421 = V764403 - 1. assign V986460 = V873901 + 1. assign V873901 = V184348 - 1. assign V105333 = V078294. assign V673660 = V358331 - 1. assign V069897 = V493113. assign V018598 = V392775 + 1. assign V501744 = V493113. assign V329865 = V229734 - 1. assign V358331 = V730408. assign V662103 = V184348 - 1. assign V832544 = V730408 - 1. assign V040034 = V078294 - 1. assign V956578 = V507679. assign V301738 = V026333 - 1. assign V381127 = V159868 - 1. assign V299183 = V413292 - 1. assign V832030 = V982065. assign V970615 = V313973 + 1. assign V804830 = V941998. assign V476313 = V180097 + 1. assign V286717 = V034339. assign V156809 = V078294 + 1. assign V282191 = V319589. assign V609615 = V730408 + 1. assign V477946 = V319589 - 1. assign V376492 = V078294 - 1. assign V413292 = V040034 + 1. assign V554280 = V638425. assign V392775 = V229734. assign V797304 = V596760 - 1. assign V428308 = V143416 - 1. assign V631132 = V968476 - 1. assign V521808 = V428308 + 1. assign V371961 = V596760 - 1. assign V550299 = V058172 - 1. assign V026333 = V078294. assign V968476 = V031246 + 1. assign V222826 = V358331 + 1. assign V139553 = V868985 - 1. assign V901738 = V501744. assign V804441 = V148170 + 1. assign V061275 = V189277 + 1. assign V171606 = V031246 + 1. assign V601067 = V662103 + 1. assign V850349 = V159868. assign V455643 = V982065 - 1. assign V856327 = V521808. assign V530780 = V832544. assign V866425 = V085794. assign V426342 = V832030 + 1. assign V730408 = V078294 - 1. assign V142171 = V832544 + 1. assign V462451 = V040034. assign V913367 = V609615 + 1. assign V507679 = V850349 - 1. assign V205585 = V295803. assign V459184 = V355436 + 1. assign V085794 = V945710. assign V637200 = V493113. assign V046453 = V638425 + 1. assign V706962 = V775415 - 1. assign V318453 = V866970. assign V641418 = V184348 + 1. assign V817023 = V301738. assign V273082 = V673220 + 1. assign V280466 = V169078. assign V775415 = V273082 + 1. assign V417517 = V159868 + 1. assign V596760 = V358331 - 1. assign V301988 = V462451 + 1. assign V866970 = V462451 + 1. assign V592183 = V229734 + 1. assign V726754 = V637200 - 1. assign V507694 = V555993 - 1. assign V996772 = V637200 + 1. assign V392885 = V981855. assign V461558 = V528138 - 1. assign V927994 = V673220 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV941998 = 10;\n\nFrom these direct assignment(s), we have: \nV804830 = V941998 = 10;\nNo other variables can be derived from V804830;\nNo other variables can be derived from V941998;\n\nNow we have done all the calculations. Derived variables are:\nV941998 = 10;\nV804830 = 10;\n\nNow we have finished this problem. ANSWER:\nV941998, V804830\n", "role": "assistant" } ]

[ "V012832", "V596793" ]

[ { "content": "<context>\nassign V573615 = V714023 - 1. assign V970853 = V741612 - 1. assign V012832 = 8. assign V792438 = V850695 + 1. assign V578356 = V530469. assign V481443 = V175614 + 1. assign V013344 = V573615 + 1. assign V596793 = V012832. assign V955132 = V083984 - 1. assign V063175 = V481443. assign V933980 = V305141 + 1. assign V893908 = V393493. assign V196005 = V109454 + 1. assign V957292 = V175614. assign V592670 = V148548. assign V741612 = V641548 - 1. assign V363591 = V933980 + 1. assign V921562 = V623425 - 1. assign V755024 = V957133 + 1. assign V057281 = V326962. assign V479390 = V672970 - 1. assign V322358 = V636638 + 1. assign V798994 = V140632 - 1. assign V394999 = V933980 - 1. assign V261366 = V714602. assign V392707 = V636638 - 1. assign V310168 = V619636. assign V708500 = V033177 + 1. assign V528278 = V069497. assign V856929 = V132768 + 1. assign V073910 = V434431 - 1. assign V537649 = V933980. assign V753810 = V000314 - 1. assign V619636 = V959487 - 1. assign V859592 = V895024 - 1. assign V537338 = V148548 + 1. assign V949607 = V641548. assign V284634 = V636638 + 1. assign V021623 = V750646 - 1. assign V641548 = V933980 + 1. assign V384144 = V069497 - 1. assign V095188 = V384144 - 1. assign V895024 = V002765. assign V822291 = V997695. assign V982046 = V311996 - 1. assign V701742 = V641548. assign V417760 = V798994 + 1. assign V886581 = V246294 + 1. assign V997695 = V481443 + 1. assign V507485 = V175614. assign V576290 = V741612 + 1. assign V427530 = V111079 + 1. assign V046830 = V840454. assign V723839 = V028425. assign V169616 = V822291 + 1. assign V111079 = V938348. assign V772725 = V322358 + 1. assign V636638 = V714023 + 1. assign V445636 = V183637 + 1. assign V387573 = V000314 - 1. assign V125563 = V387573 + 1. assign V530469 = V750646 + 1. assign V417124 = V109454. assign V697537 = V938348 - 1. assign V548648 = V683528. assign V738430 = V261366 + 1. assign V875399 = V218316. assign V079192 = V325903 - 1. assign V911496 = V021623 + 1. assign V002765 = V000314 + 1. assign V996346 = V868591. assign V416130 = V636638 + 1. assign V992310 = V394999 - 1. assign V683528 = V310717 + 1. assign V957133 = V933980 - 1. assign V994052 = V714023 + 1. assign V362261 = V083984 + 1. assign V317981 = V083984 - 1. assign V743490 = V416130 + 1. assign V861016 = V672970. assign V000314 = V394999. assign V842712 = V859592. assign V741596 = V184883. assign V635729 = V992665 - 1. assign V083505 = V325903. assign V992665 = V261366 - 1. assign V422400 = V592670 - 1. assign V074936 = V169616. assign V594496 = V641548 + 1. assign V883806 = V875399 - 1. assign V148548 = V434431 - 1. assign V304735 = V511843. assign V028425 = V183637 + 1. assign V371795 = V375907 - 1. assign V516989 = V619636. assign V790701 = V957133. assign V434431 = V714602 - 1. assign V389838 = V028425 + 1. assign V633405 = V481443 - 1. assign V750646 = V305141 + 1. assign V326962 = V305141. assign V028342 = V714602 - 1. assign V565198 = V530469 - 1. assign V132768 = V317981 + 1. assign V868591 = V691015 + 1. assign V109454 = V310168. assign V149665 = V050306 - 1. assign V175614 = V305141 - 1. assign V197338 = V107862. assign V978758 = V393493 + 1. assign V184883 = V714023 + 1. assign V825259 = V708500 - 1. assign V672970 = V911496 - 1. assign V305141 = V235558. assign V273255 = V697537. assign V556969 = V235558. assign V938348 = V741612 - 1. assign V230568 = V636638 + 1. assign V218316 = V741612. assign V511843 = V594496 - 1. assign V573757 = V393493 + 1. assign V603879 = V083984 - 1. assign V618042 = V095188 + 1. assign V168563 = V822291 - 1. assign V922230 = V416399. assign V840454 = V371795 + 1. assign V714602 = V305141. assign V623425 = V738430 + 1. assign V751329 = V375907 + 1. assign V113703 = V949607. assign V450631 = V021623 - 1. assign V691015 = V738430. assign V393493 = V938348 - 1. assign V850695 = V750646 - 1. assign V183637 = V691015 - 1. assign V714023 = V641548 - 1. assign V265724 = V305141 + 1. assign V928002 = V083984 + 1. assign V325903 = V394999 - 1. assign V432348 = V714602 - 1. assign V125382 = V235558 + 1. assign V273224 = V113703 + 1. assign V375907 = V175614. assign V984540 = V928002. assign V069497 = V697537 - 1. assign V571597 = V013344. assign V310717 = V175614 - 1. assign V639487 = V479390 + 1. assign V874284 = V868591 + 1. assign V651484 = V073910. assign V594257 = V877080. assign V519080 = V877080 + 1. assign V416399 = V556969. assign V496023 = V169616 + 1. assign V959487 = V265724. assign V107862 = V938348 + 1. assign V461469 = V691015 - 1. assign V918710 = V594496. assign V033177 = V875399 + 1. assign V050306 = V246294 + 1. assign V872494 = V265724 + 1. assign V437214 = V959487 - 1. assign V083984 = V636638 + 1. assign V154074 = V714602 - 1. assign V013160 = V168563 + 1. assign V246294 = V083505 - 1. assign V162212 = V911496 - 1. assign V140632 = V683528. assign V877080 = V790701 - 1. assign V311996 = V997695 + 1. assign V386986 = V565198 + 1. assign V012617 = V246294 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V573615 = V714023 - 1. assign V970853 = V741612 - 1. assign V012832 = 8. assign V792438 = V850695 + 1. assign V578356 = V530469. assign V481443 = V175614 + 1. assign V013344 = V573615 + 1. assign V596793 = V012832. assign V955132 = V083984 - 1. assign V063175 = V481443. assign V933980 = V305141 + 1. assign V893908 = V393493. assign V196005 = V109454 + 1. assign V957292 = V175614. assign V592670 = V148548. assign V741612 = V641548 - 1. assign V363591 = V933980 + 1. assign V921562 = V623425 - 1. assign V755024 = V957133 + 1. assign V057281 = V326962. assign V479390 = V672970 - 1. assign V322358 = V636638 + 1. assign V798994 = V140632 - 1. assign V394999 = V933980 - 1. assign V261366 = V714602. assign V392707 = V636638 - 1. assign V310168 = V619636. assign V708500 = V033177 + 1. assign V528278 = V069497. assign V856929 = V132768 + 1. assign V073910 = V434431 - 1. assign V537649 = V933980. assign V753810 = V000314 - 1. assign V619636 = V959487 - 1. assign V859592 = V895024 - 1. assign V537338 = V148548 + 1. assign V949607 = V641548. assign V284634 = V636638 + 1. assign V021623 = V750646 - 1. assign V641548 = V933980 + 1. assign V384144 = V069497 - 1. assign V095188 = V384144 - 1. assign V895024 = V002765. assign V822291 = V997695. assign V982046 = V311996 - 1. assign V701742 = V641548. assign V417760 = V798994 + 1. assign V886581 = V246294 + 1. assign V997695 = V481443 + 1. assign V507485 = V175614. assign V576290 = V741612 + 1. assign V427530 = V111079 + 1. assign V046830 = V840454. assign V723839 = V028425. assign V169616 = V822291 + 1. assign V111079 = V938348. assign V772725 = V322358 + 1. assign V636638 = V714023 + 1. assign V445636 = V183637 + 1. assign V387573 = V000314 - 1. assign V125563 = V387573 + 1. assign V530469 = V750646 + 1. assign V417124 = V109454. assign V697537 = V938348 - 1. assign V548648 = V683528. assign V738430 = V261366 + 1. assign V875399 = V218316. assign V079192 = V325903 - 1. assign V911496 = V021623 + 1. assign V002765 = V000314 + 1. assign V996346 = V868591. assign V416130 = V636638 + 1. assign V992310 = V394999 - 1. assign V683528 = V310717 + 1. assign V957133 = V933980 - 1. assign V994052 = V714023 + 1. assign V362261 = V083984 + 1. assign V317981 = V083984 - 1. assign V743490 = V416130 + 1. assign V861016 = V672970. assign V000314 = V394999. assign V842712 = V859592. assign V741596 = V184883. assign V635729 = V992665 - 1. assign V083505 = V325903. assign V992665 = V261366 - 1. assign V422400 = V592670 - 1. assign V074936 = V169616. assign V594496 = V641548 + 1. assign V883806 = V875399 - 1. assign V148548 = V434431 - 1. assign V304735 = V511843. assign V028425 = V183637 + 1. assign V371795 = V375907 - 1. assign V516989 = V619636. assign V790701 = V957133. assign V434431 = V714602 - 1. assign V389838 = V028425 + 1. assign V633405 = V481443 - 1. assign V750646 = V305141 + 1. assign V326962 = V305141. assign V028342 = V714602 - 1. assign V565198 = V530469 - 1. assign V132768 = V317981 + 1. assign V868591 = V691015 + 1. assign V109454 = V310168. assign V149665 = V050306 - 1. assign V175614 = V305141 - 1. assign V197338 = V107862. assign V978758 = V393493 + 1. assign V184883 = V714023 + 1. assign V825259 = V708500 - 1. assign V672970 = V911496 - 1. assign V305141 = V235558. assign V273255 = V697537. assign V556969 = V235558. assign V938348 = V741612 - 1. assign V230568 = V636638 + 1. assign V218316 = V741612. assign V511843 = V594496 - 1. assign V573757 = V393493 + 1. assign V603879 = V083984 - 1. assign V618042 = V095188 + 1. assign V168563 = V822291 - 1. assign V922230 = V416399. assign V840454 = V371795 + 1. assign V714602 = V305141. assign V623425 = V738430 + 1. assign V751329 = V375907 + 1. assign V113703 = V949607. assign V450631 = V021623 - 1. assign V691015 = V738430. assign V393493 = V938348 - 1. assign V850695 = V750646 - 1. assign V183637 = V691015 - 1. assign V714023 = V641548 - 1. assign V265724 = V305141 + 1. assign V928002 = V083984 + 1. assign V325903 = V394999 - 1. assign V432348 = V714602 - 1. assign V125382 = V235558 + 1. assign V273224 = V113703 + 1. assign V375907 = V175614. assign V984540 = V928002. assign V069497 = V697537 - 1. assign V571597 = V013344. assign V310717 = V175614 - 1. assign V639487 = V479390 + 1. assign V874284 = V868591 + 1. assign V651484 = V073910. assign V594257 = V877080. assign V519080 = V877080 + 1. assign V416399 = V556969. assign V496023 = V169616 + 1. assign V959487 = V265724. assign V107862 = V938348 + 1. assign V461469 = V691015 - 1. assign V918710 = V594496. assign V033177 = V875399 + 1. assign V050306 = V246294 + 1. assign V872494 = V265724 + 1. assign V437214 = V959487 - 1. assign V083984 = V636638 + 1. assign V154074 = V714602 - 1. assign V013160 = V168563 + 1. assign V246294 = V083505 - 1. assign V162212 = V911496 - 1. assign V140632 = V683528. assign V877080 = V790701 - 1. assign V311996 = V997695 + 1. assign V386986 = V565198 + 1. assign V012617 = V246294 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV012832 = 8;\n\nFrom these direct assignment(s), we have: \nV596793 = V012832 = 8;\nNo other variables can be derived from V596793;\nNo other variables can be derived from V012832;\n\nNow we have done all the calculations. Derived variables are:\nV012832 = 8;\nV596793 = 8;\n\nNow we have finished this problem. ANSWER:\nV012832, V596793\n", "role": "assistant" } ]

[ "V562906", "V770158" ]

[ { "content": "<context>\nassign V631385 = V834261 - 1. assign V951484 = V272789 + 1. assign V548192 = V721103 + 1. assign V027946 = V524202. assign V107641 = V445174 + 1. assign V014014 = V015431. assign V788746 = V992310. assign V030758 = V869725. assign V907745 = V415233 + 1. assign V679483 = V672735 + 1. assign V692608 = V339935 - 1. assign V416955 = V993219. assign V786391 = V272789. assign V548584 = V810512 + 1. assign V386662 = V646919. assign V223077 = V646919 - 1. assign V794651 = V481978 + 1. assign V188998 = V272789. assign V466713 = V027946. assign V840422 = V466713 - 1. assign V347253 = V646919. assign V770158 = V562906. assign V255047 = V412626. assign V329712 = V295112. assign V851412 = V326576. assign V334967 = V592204. assign V901547 = V591040 + 1. assign V144210 = V941458 + 1. assign V031148 = V237567. assign V592204 = V144210 - 1. assign V714985 = V027413 - 1. assign V241843 = V087364 + 1. assign V237031 = V524086 - 1. assign V349698 = V241843 + 1. assign V860361 = V408248 + 1. assign V908211 = V769196 + 1. assign V496907 = V810512. assign V601934 = V120604. assign V272789 = V416955 - 1. assign V298490 = V403340 + 1. assign V621335 = V477083. assign V992310 = V941458 + 1. assign V511885 = V105775 - 1. assign V472891 = V956988 - 1. assign V127634 = V912983. assign V013032 = V120604 - 1. assign V941307 = V956988 - 1. assign V235769 = V870883 - 1. assign V003356 = V693033. assign V891787 = V801975 + 1. assign V339935 = V551979 + 1. assign V991444 = V663830. assign V481978 = V416955. assign V791632 = V810512. assign V935697 = V901547 - 1. assign V691320 = V591040 - 1. assign V533515 = V027413 - 1. assign V551979 = V960138 - 1. assign V467458 = V317717 + 1. assign V534420 = V847869. assign V827871 = V548584 - 1. assign V960138 = V242458 + 1. assign V307178 = V941458 - 1. assign V317027 = V691320 + 1. assign V120604 = V027946 + 1. assign V002333 = V272789 + 1. assign V870883 = V031754 + 1. assign V477083 = V897721 + 1. assign V551758 = V548584 - 1. assign V087364 = V646919. assign V663830 = V031148 - 1. assign V295112 = V827871 + 1. assign V015434 = V851412 + 1. assign V675407 = V937024. assign V457095 = V693033 + 1. assign V242458 = V445174 + 1. assign V326576 = V477083. assign V836713 = V241843 + 1. assign V157431 = V823798 - 1. assign V142305 = V027413 + 1. assign V649527 = V672735 + 1. assign V526429 = V379918. assign V956988 = V161742 + 1. assign V928323 = V105775. assign V899271 = V810512 + 1. assign V587693 = V412520 - 1. assign V825393 = V756245 + 1. assign V230408 = V329712. assign V522499 = V239970 + 1. assign V810512 = V028121. assign V941458 = V548584 + 1. assign V027413 = V087364 + 1. assign V161742 = V387366. assign V090233 = V389449. assign V828418 = V118314 - 1. assign V524086 = V349698 + 1. assign V878895 = V884905. assign V387366 = V791632 - 1. assign V117696 = V796458. assign V453450 = V524202. assign V408248 = V548584 + 1. assign V847869 = V445174 - 1. assign V938776 = V909220 + 1. assign V912983 = V791632 - 1. assign V239970 = V412520 - 1. assign V403340 = V769196. assign V118314 = V646919 - 1. assign V203670 = V027946 + 1. assign V977145 = V416955. assign V755931 = V651426. assign V317717 = V347253. assign V445174 = V591040. assign V796458 = V120604 + 1. assign V653219 = V472891 + 1. assign V693033 = V403340. assign V869725 = V403340 - 1. assign V379918 = V027413 + 1. assign V591040 = V810512. assign V524202 = V028121. assign V365684 = V412626. assign V412626 = V551758 + 1. assign V879027 = V326576 + 1. assign V491707 = V408248. assign V672735 = V457095 + 1. assign V207223 = V027946 + 1. assign V088932 = V408248 - 1. assign V938301 = V884905. assign V801975 = V416955 - 1. assign V039554 = V117696. assign V126697 = V472891 - 1. assign V468939 = V030758 - 1. assign V867439 = V941458 - 1. assign V623473 = V412520 + 1. assign V031754 = V349698. assign V214222 = V941458 + 1. assign V412520 = V365684 - 1. assign V721103 = V237567. assign V937024 = V993219 + 1. assign V999214 = V349698 + 1. assign V884905 = V810512. assign V028121 = V769196 - 1. assign V237567 = V551758 - 1. assign V332817 = V329712 + 1. assign V105775 = V272789. assign V340629 = V230408 + 1. assign V389449 = V909220 + 1. assign V139553 = V241843. assign V823798 = V796458 + 1. assign V385710 = V403340 + 1. assign V261508 = V118314 - 1. assign V498173 = V337638 + 1. assign V855076 = V326576 + 1. assign V325245 = V675407 + 1. assign V651426 = V379918 + 1. assign V572968 = V317027 + 1. assign V562906 = 0. assign V337638 = V031754 + 1. assign V081350 = V013032. assign V205556 = V646919. assign V909220 = V027946. assign V712349 = V317717 + 1. assign V834261 = V087364 - 1. assign V998339 = V524086 - 1. assign V646919 = V028121. assign V139283 = V840422. assign V221490 = V810512 - 1. assign V415233 = V899271. assign V897721 = V015431. assign V756245 = V403340 - 1. assign V993219 = V769196 + 1. assign V015431 = V237567. assign V033817 = V907745 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V631385 = V834261 - 1. assign V951484 = V272789 + 1. assign V548192 = V721103 + 1. assign V027946 = V524202. assign V107641 = V445174 + 1. assign V014014 = V015431. assign V788746 = V992310. assign V030758 = V869725. assign V907745 = V415233 + 1. assign V679483 = V672735 + 1. assign V692608 = V339935 - 1. assign V416955 = V993219. assign V786391 = V272789. assign V548584 = V810512 + 1. assign V386662 = V646919. assign V223077 = V646919 - 1. assign V794651 = V481978 + 1. assign V188998 = V272789. assign V466713 = V027946. assign V840422 = V466713 - 1. assign V347253 = V646919. assign V770158 = V562906. assign V255047 = V412626. assign V329712 = V295112. assign V851412 = V326576. assign V334967 = V592204. assign V901547 = V591040 + 1. assign V144210 = V941458 + 1. assign V031148 = V237567. assign V592204 = V144210 - 1. assign V714985 = V027413 - 1. assign V241843 = V087364 + 1. assign V237031 = V524086 - 1. assign V349698 = V241843 + 1. assign V860361 = V408248 + 1. assign V908211 = V769196 + 1. assign V496907 = V810512. assign V601934 = V120604. assign V272789 = V416955 - 1. assign V298490 = V403340 + 1. assign V621335 = V477083. assign V992310 = V941458 + 1. assign V511885 = V105775 - 1. assign V472891 = V956988 - 1. assign V127634 = V912983. assign V013032 = V120604 - 1. assign V941307 = V956988 - 1. assign V235769 = V870883 - 1. assign V003356 = V693033. assign V891787 = V801975 + 1. assign V339935 = V551979 + 1. assign V991444 = V663830. assign V481978 = V416955. assign V791632 = V810512. assign V935697 = V901547 - 1. assign V691320 = V591040 - 1. assign V533515 = V027413 - 1. assign V551979 = V960138 - 1. assign V467458 = V317717 + 1. assign V534420 = V847869. assign V827871 = V548584 - 1. assign V960138 = V242458 + 1. assign V307178 = V941458 - 1. assign V317027 = V691320 + 1. assign V120604 = V027946 + 1. assign V002333 = V272789 + 1. assign V870883 = V031754 + 1. assign V477083 = V897721 + 1. assign V551758 = V548584 - 1. assign V087364 = V646919. assign V663830 = V031148 - 1. assign V295112 = V827871 + 1. assign V015434 = V851412 + 1. assign V675407 = V937024. assign V457095 = V693033 + 1. assign V242458 = V445174 + 1. assign V326576 = V477083. assign V836713 = V241843 + 1. assign V157431 = V823798 - 1. assign V142305 = V027413 + 1. assign V649527 = V672735 + 1. assign V526429 = V379918. assign V956988 = V161742 + 1. assign V928323 = V105775. assign V899271 = V810512 + 1. assign V587693 = V412520 - 1. assign V825393 = V756245 + 1. assign V230408 = V329712. assign V522499 = V239970 + 1. assign V810512 = V028121. assign V941458 = V548584 + 1. assign V027413 = V087364 + 1. assign V161742 = V387366. assign V090233 = V389449. assign V828418 = V118314 - 1. assign V524086 = V349698 + 1. assign V878895 = V884905. assign V387366 = V791632 - 1. assign V117696 = V796458. assign V453450 = V524202. assign V408248 = V548584 + 1. assign V847869 = V445174 - 1. assign V938776 = V909220 + 1. assign V912983 = V791632 - 1. assign V239970 = V412520 - 1. assign V403340 = V769196. assign V118314 = V646919 - 1. assign V203670 = V027946 + 1. assign V977145 = V416955. assign V755931 = V651426. assign V317717 = V347253. assign V445174 = V591040. assign V796458 = V120604 + 1. assign V653219 = V472891 + 1. assign V693033 = V403340. assign V869725 = V403340 - 1. assign V379918 = V027413 + 1. assign V591040 = V810512. assign V524202 = V028121. assign V365684 = V412626. assign V412626 = V551758 + 1. assign V879027 = V326576 + 1. assign V491707 = V408248. assign V672735 = V457095 + 1. assign V207223 = V027946 + 1. assign V088932 = V408248 - 1. assign V938301 = V884905. assign V801975 = V416955 - 1. assign V039554 = V117696. assign V126697 = V472891 - 1. assign V468939 = V030758 - 1. assign V867439 = V941458 - 1. assign V623473 = V412520 + 1. assign V031754 = V349698. assign V214222 = V941458 + 1. assign V412520 = V365684 - 1. assign V721103 = V237567. assign V937024 = V993219 + 1. assign V999214 = V349698 + 1. assign V884905 = V810512. assign V028121 = V769196 - 1. assign V237567 = V551758 - 1. assign V332817 = V329712 + 1. assign V105775 = V272789. assign V340629 = V230408 + 1. assign V389449 = V909220 + 1. assign V139553 = V241843. assign V823798 = V796458 + 1. assign V385710 = V403340 + 1. assign V261508 = V118314 - 1. assign V498173 = V337638 + 1. assign V855076 = V326576 + 1. assign V325245 = V675407 + 1. assign V651426 = V379918 + 1. assign V572968 = V317027 + 1. assign V562906 = 0. assign V337638 = V031754 + 1. assign V081350 = V013032. assign V205556 = V646919. assign V909220 = V027946. assign V712349 = V317717 + 1. assign V834261 = V087364 - 1. assign V998339 = V524086 - 1. assign V646919 = V028121. assign V139283 = V840422. assign V221490 = V810512 - 1. assign V415233 = V899271. assign V897721 = V015431. assign V756245 = V403340 - 1. assign V993219 = V769196 + 1. assign V015431 = V237567. assign V033817 = V907745 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV562906 = 0;\n\nFrom these direct assignment(s), we have: \nV770158 = V562906 = 0;\nNo other variables can be derived from V770158;\nNo other variables can be derived from V562906;\n\nNow we have done all the calculations. Derived variables are:\nV562906 = 0;\nV770158 = 0;\n\nNow we have finished this problem. ANSWER:\nV562906, V770158\n", "role": "assistant" } ]

[ "V742359" ]

[ { "content": "<context>\nassign V327454 = V753289. assign V725175 = V376083 + 1. assign V914758 = V928465 + 1. assign V309044 = V098698 - 1. assign V449525 = V662383 + 1. assign V324584 = V723226. assign V605602 = V610239 - 1. assign V152961 = V735713 + 1. assign V126710 = V108614 + 1. assign V480687 = V731243. assign V138999 = V471578 - 1. assign V662383 = V155941. assign V471578 = V645283 - 1. assign V833101 = V532140 + 1. assign V848883 = V672320 + 1. assign V817730 = V587009 - 1. assign V651035 = V504313 - 1. assign V714290 = V614878. assign V579645 = V520868. assign V362790 = V686460 + 1. assign V995335 = V857770 - 1. assign V063321 = V875966. assign V214446 = V342144 + 1. assign V686460 = V723226 + 1. assign V084404 = V723226 + 1. assign V928833 = V889081 - 1. assign V579692 = V662383 - 1. assign V836782 = V504313 - 1. assign V233342 = V720232 + 1. assign V853613 = V857770 + 1. assign V939996 = V299395. assign V246432 = V115801 - 1. assign V917891 = V775645. assign V532602 = V962769. assign V138756 = V985893 - 1. assign V399142 = V917891. assign V098698 = V662532 + 1. assign V417934 = V725175 + 1. assign V690748 = V843114 - 1. assign V532140 = V889081 - 1. assign V520868 = V751906 + 1. assign V359719 = V995335 - 1. assign V376083 = V421362 + 1. assign V928465 = V504313 + 1. assign V214389 = V185193 - 1. assign V085437 = V923180 + 1. assign V879548 = V714290. assign V710778 = V356443. assign V171049 = V115801 - 1. assign V742359 = V375154 + 1. assign V479096 = V968074 - 1. assign V696367 = V723226. assign V209001 = V146385 + 1. assign V356443 = V214446 - 1. assign V055917 = V630912 - 1. assign V610239 = V928833 + 1. assign V568048 = V290687 + 1. assign V421362 = V532140. assign V962769 = V214389 + 1. assign V229959 = V668444 + 1. assign V813674 = V376083 - 1. assign V296245 = V995335 - 1. assign V462831 = V248828 - 1. assign V032171 = V487833 - 1. assign V369392 = V238550 - 1. assign V208314 = V251408. assign V608103 = V152961 + 1. assign V116030 = V265004. assign V108614 = V751906. assign V299395 = V520868. assign V539247 = V836782. assign V645891 = V246432 + 1. assign V968074 = V587009 - 1. assign V310182 = V208314. assign V187867 = V155941 + 1. assign V985893 = V084404 - 1. assign V709306 = V979050. assign V672320 = V116030. assign V833806 = V775645 + 1. assign V185193 = V857770. assign V971783 = V417934 - 1. assign V174962 = V889081. assign V165455 = V116030 + 1. assign V146385 = V610239 - 1. assign V569392 = V258351 + 1. assign V258351 = V662532. assign V259244 = V962519. assign V163496 = V751906 + 1. assign V474670 = V751906 - 1. assign V727015 = V928833 - 1. assign V645283 = V226154 + 1. assign V668444 = V843114. assign V735713 = V258351 + 1. assign V226154 = V605602. assign V407067 = V569392 + 1. assign V435951 = V919157. assign V785577 = V164992. assign V433629 = V324584 + 1. assign V329542 = V324584. assign V979050 = V879548. assign V748170 = V614878 + 1. assign V115801 = V329542. assign V827221 = V710778 - 1. assign V342144 = V520868 + 1. assign V042044 = V879548. assign V958805 = V299395. assign V919157 = V163496 - 1. assign V073884 = V208367 - 1. assign V521576 = V720232. assign V614878 = V723226. assign V169424 = V259244. assign V731243 = V084404 - 1. assign V050813 = V651066 + 1. assign V317168 = V710778 + 1. assign V383779 = V206940 + 1. assign V662532 = V329542 + 1. assign V857770 = V723226 + 1. assign V375154 = 10. assign V891669 = V214446 - 1. assign V331805 = V290687 - 1. assign V843114 = V723226. assign V677194 = V843114. assign V206940 = V376083 + 1. assign V696041 = V696367 + 1. assign V775645 = V520868 + 1. assign V208367 = V949810. assign V164992 = V843114 - 1. assign V035486 = V309044 - 1. assign V504313 = V751906 - 1. assign V923180 = V833806 - 1. assign V998994 = V958805 + 1. assign V027982 = V668444 - 1. assign V248828 = V317168. assign V251408 = V324584. assign V231791 = V108614 + 1. assign V027930 = V714290. assign V753289 = V742974 - 1. assign V586063 = V116030 + 1. assign V487833 = V614878 - 1. assign V136666 = V299395 - 1. assign V720232 = V174962. assign V630912 = V723226. assign V889081 = V208314. assign V265004 = V214389 - 1. assign V290687 = V668444 + 1. assign V155941 = V504313. assign V238550 = V115801. assign V895523 = V487833 - 1. assign V585474 = V879548 + 1. assign V723226 = V751906 + 1. assign V741365 = V290687 - 1. assign V651066 = V587009 - 1. assign V963612 = V843114 + 1. assign V858733 = V138756. assign V881801 = V720232. assign V131484 = V174962 + 1. assign V197108 = V504313 - 1. assign V691784 = V115801. assign V962519 = V214446 - 1. assign V521905 = V725175 - 1. assign V587009 = V171049 + 1. assign V576470 = V775645 + 1. assign V560919 = V645283 - 1. assign V949810 = V324584 - 1. assign V603292 = V775645. assign V875966 = V098698 + 1. assign V791639 = V209001 - 1. assign V348303 = V662532. assign V470611 = V208314. assign V988234 = V751906. assign V742974 = V171049 + 1. assign V443427 = V342144.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V327454 = V753289. assign V725175 = V376083 + 1. assign V914758 = V928465 + 1. assign V309044 = V098698 - 1. assign V449525 = V662383 + 1. assign V324584 = V723226. assign V605602 = V610239 - 1. assign V152961 = V735713 + 1. assign V126710 = V108614 + 1. assign V480687 = V731243. assign V138999 = V471578 - 1. assign V662383 = V155941. assign V471578 = V645283 - 1. assign V833101 = V532140 + 1. assign V848883 = V672320 + 1. assign V817730 = V587009 - 1. assign V651035 = V504313 - 1. assign V714290 = V614878. assign V579645 = V520868. assign V362790 = V686460 + 1. assign V995335 = V857770 - 1. assign V063321 = V875966. assign V214446 = V342144 + 1. assign V686460 = V723226 + 1. assign V084404 = V723226 + 1. assign V928833 = V889081 - 1. assign V579692 = V662383 - 1. assign V836782 = V504313 - 1. assign V233342 = V720232 + 1. assign V853613 = V857770 + 1. assign V939996 = V299395. assign V246432 = V115801 - 1. assign V917891 = V775645. assign V532602 = V962769. assign V138756 = V985893 - 1. assign V399142 = V917891. assign V098698 = V662532 + 1. assign V417934 = V725175 + 1. assign V690748 = V843114 - 1. assign V532140 = V889081 - 1. assign V520868 = V751906 + 1. assign V359719 = V995335 - 1. assign V376083 = V421362 + 1. assign V928465 = V504313 + 1. assign V214389 = V185193 - 1. assign V085437 = V923180 + 1. assign V879548 = V714290. assign V710778 = V356443. assign V171049 = V115801 - 1. assign V742359 = V375154 + 1. assign V479096 = V968074 - 1. assign V696367 = V723226. assign V209001 = V146385 + 1. assign V356443 = V214446 - 1. assign V055917 = V630912 - 1. assign V610239 = V928833 + 1. assign V568048 = V290687 + 1. assign V421362 = V532140. assign V962769 = V214389 + 1. assign V229959 = V668444 + 1. assign V813674 = V376083 - 1. assign V296245 = V995335 - 1. assign V462831 = V248828 - 1. assign V032171 = V487833 - 1. assign V369392 = V238550 - 1. assign V208314 = V251408. assign V608103 = V152961 + 1. assign V116030 = V265004. assign V108614 = V751906. assign V299395 = V520868. assign V539247 = V836782. assign V645891 = V246432 + 1. assign V968074 = V587009 - 1. assign V310182 = V208314. assign V187867 = V155941 + 1. assign V985893 = V084404 - 1. assign V709306 = V979050. assign V672320 = V116030. assign V833806 = V775645 + 1. assign V185193 = V857770. assign V971783 = V417934 - 1. assign V174962 = V889081. assign V165455 = V116030 + 1. assign V146385 = V610239 - 1. assign V569392 = V258351 + 1. assign V258351 = V662532. assign V259244 = V962519. assign V163496 = V751906 + 1. assign V474670 = V751906 - 1. assign V727015 = V928833 - 1. assign V645283 = V226154 + 1. assign V668444 = V843114. assign V735713 = V258351 + 1. assign V226154 = V605602. assign V407067 = V569392 + 1. assign V435951 = V919157. assign V785577 = V164992. assign V433629 = V324584 + 1. assign V329542 = V324584. assign V979050 = V879548. assign V748170 = V614878 + 1. assign V115801 = V329542. assign V827221 = V710778 - 1. assign V342144 = V520868 + 1. assign V042044 = V879548. assign V958805 = V299395. assign V919157 = V163496 - 1. assign V073884 = V208367 - 1. assign V521576 = V720232. assign V614878 = V723226. assign V169424 = V259244. assign V731243 = V084404 - 1. assign V050813 = V651066 + 1. assign V317168 = V710778 + 1. assign V383779 = V206940 + 1. assign V662532 = V329542 + 1. assign V857770 = V723226 + 1. assign V375154 = 10. assign V891669 = V214446 - 1. assign V331805 = V290687 - 1. assign V843114 = V723226. assign V677194 = V843114. assign V206940 = V376083 + 1. assign V696041 = V696367 + 1. assign V775645 = V520868 + 1. assign V208367 = V949810. assign V164992 = V843114 - 1. assign V035486 = V309044 - 1. assign V504313 = V751906 - 1. assign V923180 = V833806 - 1. assign V998994 = V958805 + 1. assign V027982 = V668444 - 1. assign V248828 = V317168. assign V251408 = V324584. assign V231791 = V108614 + 1. assign V027930 = V714290. assign V753289 = V742974 - 1. assign V586063 = V116030 + 1. assign V487833 = V614878 - 1. assign V136666 = V299395 - 1. assign V720232 = V174962. assign V630912 = V723226. assign V889081 = V208314. assign V265004 = V214389 - 1. assign V290687 = V668444 + 1. assign V155941 = V504313. assign V238550 = V115801. assign V895523 = V487833 - 1. assign V585474 = V879548 + 1. assign V723226 = V751906 + 1. assign V741365 = V290687 - 1. assign V651066 = V587009 - 1. assign V963612 = V843114 + 1. assign V858733 = V138756. assign V881801 = V720232. assign V131484 = V174962 + 1. assign V197108 = V504313 - 1. assign V691784 = V115801. assign V962519 = V214446 - 1. assign V521905 = V725175 - 1. assign V587009 = V171049 + 1. assign V576470 = V775645 + 1. assign V560919 = V645283 - 1. assign V949810 = V324584 - 1. assign V603292 = V775645. assign V875966 = V098698 + 1. assign V791639 = V209001 - 1. assign V348303 = V662532. assign V470611 = V208314. assign V988234 = V751906. assign V742974 = V171049 + 1. assign V443427 = V342144.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV375154 = 10;\n\nFrom these direct assignment(s), we have: \nV742359 = V375154 + 1 = 10 + 1 =11;\nNo other variables can be derived from V742359;\nNo other variables can be derived from V375154;\n\nNow we have done all the calculations. Derived variables are:\nV375154 = 10;\nV742359 = 11;\n\nNow we have finished this problem. ANSWER:\nV742359\n", "role": "assistant" } ]

[ "V574647", "V670204" ]

[ { "content": "<context>\nassign V800825 = V431529 + 1. assign V214173 = V127596. assign V757380 = V316870 + 1. assign V900279 = V738743 + 1. assign V222235 = V433245 - 1. assign V644337 = V431529. assign V258756 = V125055 - 1. assign V847966 = V826932 + 1. assign V051924 = V622627 + 1. assign V125055 = V800825 - 1. assign V849669 = V826932. assign V914369 = V201614 + 1. assign V622627 = V120272. assign V991728 = V241280. assign V235915 = V811867 + 1. assign V857256 = V201614. assign V869791 = V775194 - 1. assign V061012 = V197961 - 1. assign V201614 = V906929. assign V102389 = V386754. assign V302994 = V431530 + 1. assign V454015 = V800825. assign V289701 = V127596 + 1. assign V821729 = V066694 + 1. assign V293881 = V720134 + 1. assign V966596 = V205050 - 1. assign V665107 = V400957. assign V026800 = V985257 - 1. assign V897236 = V800825 - 1. assign V276769 = V826932. assign V754414 = V800825. assign V120272 = V431529 + 1. assign V391684 = V433245 - 1. assign V954707 = V289701 - 1. assign V621531 = V386754. assign V386754 = V800825 + 1. assign V807748 = V671499 - 1. assign V023102 = V241470 + 1. assign V145500 = V431529 + 1. assign V103506 = V142472 - 1. assign V930004 = V754414. assign V520493 = V914369 - 1. assign V322130 = V029360. assign V204287 = V125055 + 1. assign V947314 = V754414. assign V957537 = V800825 + 1. assign V460734 = V304561 - 1. assign V562497 = V870007. assign V811867 = V581892. assign V403955 = V273653 + 1. assign V743161 = V241470 - 1. assign V990733 = V145500 - 1. assign V911091 = V433245 - 1. assign V581892 = V413686 + 1. assign V995224 = V900279. assign V638757 = V990733 + 1. assign V135656 = V826932 - 1. assign V866636 = V706925 + 1. assign V829571 = V127596 - 1. assign V283327 = V966596 - 1. assign V241470 = V431529 - 1. assign V433245 = V897236 + 1. assign V999386 = V135656. assign V229531 = V066694 + 1. assign V540850 = V273653. assign V396982 = V800825 + 1. assign V116103 = V900279 + 1. assign V773163 = V125055 - 1. assign V090907 = V630394 - 1. assign V400957 = V413686. assign V250356 = V743161. assign V251010 = V900279 + 1. assign V066694 = V454015 - 1. assign V871506 = V999386 - 1. assign V943631 = V386754 - 1. assign V720134 = V593959. assign V273653 = V581892 - 1. assign V353034 = V800825 - 1. assign V885845 = V371733. assign V010997 = V597730 - 1. assign V308236 = V027880 - 1. assign V753748 = V743161. assign V621712 = V205050 - 1. assign V057339 = V236433 - 1. assign V803694 = V897655 + 1. assign V345273 = V400957 - 1. assign V114959 = V743161 - 1. assign V663520 = V283327 - 1. assign V319844 = V985257 + 1. assign V027880 = V800825. assign V671499 = V417803. assign V196669 = V995173 + 1. assign V129574 = V630394 + 1. assign V670204 = V574647. assign V373924 = V273653 - 1. assign V127596 = V386754 + 1. assign V426726 = V120272. assign V487215 = V999386 + 1. assign V839190 = V241280 - 1. assign V570353 = V316870. assign V244841 = V930004. assign V626099 = V373191 - 1. assign V597730 = V781061 - 1. assign V593959 = V852072. assign V632942 = V129574. assign V838781 = V540850 + 1. assign V316870 = V738743 - 1. assign V706925 = V826932 - 1. assign V214865 = V135656. assign V055660 = V144371 - 1. assign V985257 = V626099 + 1. assign V413686 = V120272 - 1. assign V028847 = V241470. assign V906929 = V593959 + 1. assign V067636 = V283327 + 1. assign V165344 = V283327 + 1. assign V373191 = V431529 - 1. assign V869916 = V866636 - 1. assign V734353 = V201614. assign V826932 = V431529 - 1. assign V046893 = V163149 + 1. assign V320216 = V630394 - 1. assign V870007 = V460734 - 1. assign V907589 = V897236. assign V385175 = V754414 - 1. assign V571098 = V800825. assign V163149 = V273653 + 1. assign V782258 = V027880 - 1. assign V918173 = V373191 - 1. assign V694319 = V720134 + 1. assign V775194 = V027880. assign V371733 = V027880 + 1. assign V781061 = V581892 - 1. assign V241280 = V536032 - 1. assign V649336 = V214865 - 1. assign V745724 = V852072 + 1. assign V386394 = V570801 - 1. assign V852072 = V622627. assign V111466 = V353034 - 1. assign V672459 = V353034 - 1. assign V738743 = V985257 + 1. assign V029360 = V373191 + 1. assign V574647 = 1. assign V304561 = V826932 + 1. assign V703443 = V942720 - 1. assign V570801 = V487215. assign V674230 = V663520 - 1. assign V897655 = V205050. assign V144371 = V431530. assign V566047 = V385175. assign V630394 = V400957. assign V723028 = V630394 - 1. assign V650313 = V852072 - 1. assign V823338 = V433245 + 1. assign V173422 = V638757. assign V510578 = V125055 + 1. assign V142472 = V051924 + 1. assign V942720 = V145500 + 1. assign V197961 = V135656 + 1. assign V536032 = V273653 - 1. assign V791878 = V454015 - 1. assign V720151 = V222235 + 1. assign V999406 = V373924. assign V035206 = V782258. assign V995173 = V433245. assign V174232 = V943631. assign V205050 = V800825. assign V431530 = V966596. assign V781896 = V800825 + 1. assign V417803 = V942720 - 1. assign V236433 = V630394 + 1. assign V533525 = V775194.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V800825 = V431529 + 1. assign V214173 = V127596. assign V757380 = V316870 + 1. assign V900279 = V738743 + 1. assign V222235 = V433245 - 1. assign V644337 = V431529. assign V258756 = V125055 - 1. assign V847966 = V826932 + 1. assign V051924 = V622627 + 1. assign V125055 = V800825 - 1. assign V849669 = V826932. assign V914369 = V201614 + 1. assign V622627 = V120272. assign V991728 = V241280. assign V235915 = V811867 + 1. assign V857256 = V201614. assign V869791 = V775194 - 1. assign V061012 = V197961 - 1. assign V201614 = V906929. assign V102389 = V386754. assign V302994 = V431530 + 1. assign V454015 = V800825. assign V289701 = V127596 + 1. assign V821729 = V066694 + 1. assign V293881 = V720134 + 1. assign V966596 = V205050 - 1. assign V665107 = V400957. assign V026800 = V985257 - 1. assign V897236 = V800825 - 1. assign V276769 = V826932. assign V754414 = V800825. assign V120272 = V431529 + 1. assign V391684 = V433245 - 1. assign V954707 = V289701 - 1. assign V621531 = V386754. assign V386754 = V800825 + 1. assign V807748 = V671499 - 1. assign V023102 = V241470 + 1. assign V145500 = V431529 + 1. assign V103506 = V142472 - 1. assign V930004 = V754414. assign V520493 = V914369 - 1. assign V322130 = V029360. assign V204287 = V125055 + 1. assign V947314 = V754414. assign V957537 = V800825 + 1. assign V460734 = V304561 - 1. assign V562497 = V870007. assign V811867 = V581892. assign V403955 = V273653 + 1. assign V743161 = V241470 - 1. assign V990733 = V145500 - 1. assign V911091 = V433245 - 1. assign V581892 = V413686 + 1. assign V995224 = V900279. assign V638757 = V990733 + 1. assign V135656 = V826932 - 1. assign V866636 = V706925 + 1. assign V829571 = V127596 - 1. assign V283327 = V966596 - 1. assign V241470 = V431529 - 1. assign V433245 = V897236 + 1. assign V999386 = V135656. assign V229531 = V066694 + 1. assign V540850 = V273653. assign V396982 = V800825 + 1. assign V116103 = V900279 + 1. assign V773163 = V125055 - 1. assign V090907 = V630394 - 1. assign V400957 = V413686. assign V250356 = V743161. assign V251010 = V900279 + 1. assign V066694 = V454015 - 1. assign V871506 = V999386 - 1. assign V943631 = V386754 - 1. assign V720134 = V593959. assign V273653 = V581892 - 1. assign V353034 = V800825 - 1. assign V885845 = V371733. assign V010997 = V597730 - 1. assign V308236 = V027880 - 1. assign V753748 = V743161. assign V621712 = V205050 - 1. assign V057339 = V236433 - 1. assign V803694 = V897655 + 1. assign V345273 = V400957 - 1. assign V114959 = V743161 - 1. assign V663520 = V283327 - 1. assign V319844 = V985257 + 1. assign V027880 = V800825. assign V671499 = V417803. assign V196669 = V995173 + 1. assign V129574 = V630394 + 1. assign V670204 = V574647. assign V373924 = V273653 - 1. assign V127596 = V386754 + 1. assign V426726 = V120272. assign V487215 = V999386 + 1. assign V839190 = V241280 - 1. assign V570353 = V316870. assign V244841 = V930004. assign V626099 = V373191 - 1. assign V597730 = V781061 - 1. assign V593959 = V852072. assign V632942 = V129574. assign V838781 = V540850 + 1. assign V316870 = V738743 - 1. assign V706925 = V826932 - 1. assign V214865 = V135656. assign V055660 = V144371 - 1. assign V985257 = V626099 + 1. assign V413686 = V120272 - 1. assign V028847 = V241470. assign V906929 = V593959 + 1. assign V067636 = V283327 + 1. assign V165344 = V283327 + 1. assign V373191 = V431529 - 1. assign V869916 = V866636 - 1. assign V734353 = V201614. assign V826932 = V431529 - 1. assign V046893 = V163149 + 1. assign V320216 = V630394 - 1. assign V870007 = V460734 - 1. assign V907589 = V897236. assign V385175 = V754414 - 1. assign V571098 = V800825. assign V163149 = V273653 + 1. assign V782258 = V027880 - 1. assign V918173 = V373191 - 1. assign V694319 = V720134 + 1. assign V775194 = V027880. assign V371733 = V027880 + 1. assign V781061 = V581892 - 1. assign V241280 = V536032 - 1. assign V649336 = V214865 - 1. assign V745724 = V852072 + 1. assign V386394 = V570801 - 1. assign V852072 = V622627. assign V111466 = V353034 - 1. assign V672459 = V353034 - 1. assign V738743 = V985257 + 1. assign V029360 = V373191 + 1. assign V574647 = 1. assign V304561 = V826932 + 1. assign V703443 = V942720 - 1. assign V570801 = V487215. assign V674230 = V663520 - 1. assign V897655 = V205050. assign V144371 = V431530. assign V566047 = V385175. assign V630394 = V400957. assign V723028 = V630394 - 1. assign V650313 = V852072 - 1. assign V823338 = V433245 + 1. assign V173422 = V638757. assign V510578 = V125055 + 1. assign V142472 = V051924 + 1. assign V942720 = V145500 + 1. assign V197961 = V135656 + 1. assign V536032 = V273653 - 1. assign V791878 = V454015 - 1. assign V720151 = V222235 + 1. assign V999406 = V373924. assign V035206 = V782258. assign V995173 = V433245. assign V174232 = V943631. assign V205050 = V800825. assign V431530 = V966596. assign V781896 = V800825 + 1. assign V417803 = V942720 - 1. assign V236433 = V630394 + 1. assign V533525 = V775194.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV574647 = 1;\n\nFrom these direct assignment(s), we have: \nV670204 = V574647 = 1;\nNo other variables can be derived from V670204;\nNo other variables can be derived from V574647;\n\nNow we have done all the calculations. Derived variables are:\nV574647 = 1;\nV670204 = 1;\n\nNow we have finished this problem. ANSWER:\nV574647, V670204\n", "role": "assistant" } ]

[ "V210062" ]

[ { "content": "<context>\nassign V477544 = V524109. assign V752896 = V178137 - 1. assign V722173 = V091147 + 1. assign V151545 = V396962 + 1. assign V622698 = V920340. assign V212791 = V960572. assign V972290 = V246643 - 1. assign V702541 = V591062 + 1. assign V200756 = V482269 - 1. assign V263644 = V686073 + 1. assign V187077 = V528565 - 1. assign V523418 = V380187 - 1. assign V571014 = V404242 + 1. assign V472904 = V690092 - 1. assign V984769 = V950736 + 1. assign V265481 = V187077. assign V396962 = V950736. assign V527765 = V263644 + 1. assign V337942 = V571014. assign V454198 = V803492. assign V174272 = V262065 + 1. assign V626628 = V950736 + 1. assign V778642 = V500809 - 1. assign V020516 = V091147. assign V136383 = V020516. assign V940758 = V500809 + 1. assign V920340 = V396962 - 1. assign V088147 = V799044 + 1. assign V482269 = V524109 + 1. assign V997894 = V065902. assign V483589 = V502199 - 1. assign V915993 = V697301 + 1. assign V549174 = V693841 - 1. assign V624364 = V722085 + 1. assign V635014 = V187077. assign V690092 = V984769 - 1. assign V093191 = V686073 + 1. assign V396469 = V984769. assign V524109 = V438903. assign V258692 = V482269 - 1. assign V380187 = V258692 - 1. assign V293525 = V109769. assign V353515 = V144654 + 1. assign V760206 = V768203. assign V559718 = V592544 + 1. assign V411125 = V210062 - 1. assign V029893 = V762636 + 1. assign V924653 = V768203 - 1. assign V068696 = V722697. assign V804248 = V040586. assign V088550 = V151545. assign V296973 = V178137 - 1. assign V255346 = V690092 + 1. assign V120386 = V254912 + 1. assign V044447 = V438903. assign V944647 = V151545. assign V502199 = V722697 - 1. assign V540992 = V234925 + 1. assign V851278 = V255346 + 1. assign V875188 = V929758 + 1. assign V463582 = V396962 + 1. assign V500809 = V517446 + 1. assign V093663 = V690092 - 1. assign V799044 = V690092 - 1. assign V719515 = V311036. assign V235372 = V502199. assign V469485 = V500809 - 1. assign V276453 = V829123 + 1. assign V698276 = V950736 - 1. assign V685195 = V311036 - 1. assign V671822 = V483589. assign V350320 = V502199 - 1. assign V687578 = V019917 - 1. assign V321551 = V359465 - 1. assign V234925 = V262065 - 1. assign V552448 = V477544 - 1. assign V908345 = V698276 - 1. assign V981752 = V750114 - 1. assign V928406 = V065902 + 1. assign V460346 = V404242 + 1. assign V065902 = V699018. assign V517446 = V690092. assign V992226 = V686073 - 1. assign V358164 = V992226 + 1. assign V954808 = V527765 + 1. assign V477944 = V687578. assign V246643 = V438903 - 1. assign V872955 = V263644 + 1. assign V929758 = V760206 + 1. assign V632845 = V540992. assign V465165 = V719515 - 1. assign V311227 = V091147. assign V399746 = V591354. assign V272992 = V997894 + 1. assign V592544 = V687578 + 1. assign V254912 = V713068 + 1. assign V917751 = V321551 + 1. assign V109769 = V690092. assign V756111 = V187077 + 1. assign V803492 = V924653 - 1. assign V668269 = V040586. assign V043415 = V321551 + 1. assign V750114 = V093191 - 1. assign V531139 = V722173. assign V842033 = V399746 + 1. assign V960572 = V347088 - 1. assign V723352 = V754936 + 1. assign V722085 = V540992 - 1. assign V866733 = V944647. assign V644721 = V528565 - 1. assign V884928 = V135789 + 1. assign V991167 = V754936. assign V138051 = V686073. assign V359465 = V591354. assign V347088 = V187077 - 1. assign V144654 = V311036 - 1. assign V404242 = V719515 + 1. assign V438903 = V984769. assign V713068 = V799044 + 1. assign V936837 = V254912 - 1. assign V019917 = V762636 + 1. assign V137386 = V595165. assign V567334 = V109769. assign V543279 = V107987 - 1. assign V950736 = V187077. assign V262065 = V500809 + 1. assign V251589 = V984558. assign V829123 = V254912 - 1. assign V984558 = V595165. assign V249926 = V044447 - 1. assign V882536 = V528565 + 1. assign V873666 = V137386 - 1. assign V701869 = V668269 - 1. assign V022595 = V984769 - 1. assign V591354 = V311036. assign V665967 = V353515. assign V320196 = V065902 + 1. assign V105573 = V472904. assign V099903 = V350320 + 1. assign V202545 = V950736. assign V699018 = V187077 + 1. assign V697301 = V263644 + 1. assign V477752 = V353515 + 1. assign V722697 = V768203 + 1. assign V591062 = V380187. assign V311036 = V528565 - 1. assign V178137 = V091147 - 1. assign V040586 = V699018. assign V996366 = V337942 + 1. assign V091147 = V350320 + 1. assign V135789 = V311036. assign V686073 = V187077. assign V693841 = V091147 - 1. assign V107987 = V722697 + 1. assign V251278 = V347088. assign V270613 = V144654 + 1. assign V984513 = V454198. assign V762636 = V950736 + 1. assign V901280 = V915993 - 1. assign V342496 = V311036 - 1. assign V120174 = V270613 - 1. assign V487834 = V265481 + 1. assign V981419 = V517446. assign V982158 = V699018 + 1. assign V965638 = V984769 - 1. assign V190453 = V702541 - 1. assign V754936 = V690092. assign V210062 = 5. assign V595165 = V984769. assign V438197 = V190453 + 1. assign V903567 = V321551 + 1. assign V768203 = V187077 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V477544 = V524109. assign V752896 = V178137 - 1. assign V722173 = V091147 + 1. assign V151545 = V396962 + 1. assign V622698 = V920340. assign V212791 = V960572. assign V972290 = V246643 - 1. assign V702541 = V591062 + 1. assign V200756 = V482269 - 1. assign V263644 = V686073 + 1. assign V187077 = V528565 - 1. assign V523418 = V380187 - 1. assign V571014 = V404242 + 1. assign V472904 = V690092 - 1. assign V984769 = V950736 + 1. assign V265481 = V187077. assign V396962 = V950736. assign V527765 = V263644 + 1. assign V337942 = V571014. assign V454198 = V803492. assign V174272 = V262065 + 1. assign V626628 = V950736 + 1. assign V778642 = V500809 - 1. assign V020516 = V091147. assign V136383 = V020516. assign V940758 = V500809 + 1. assign V920340 = V396962 - 1. assign V088147 = V799044 + 1. assign V482269 = V524109 + 1. assign V997894 = V065902. assign V483589 = V502199 - 1. assign V915993 = V697301 + 1. assign V549174 = V693841 - 1. assign V624364 = V722085 + 1. assign V635014 = V187077. assign V690092 = V984769 - 1. assign V093191 = V686073 + 1. assign V396469 = V984769. assign V524109 = V438903. assign V258692 = V482269 - 1. assign V380187 = V258692 - 1. assign V293525 = V109769. assign V353515 = V144654 + 1. assign V760206 = V768203. assign V559718 = V592544 + 1. assign V411125 = V210062 - 1. assign V029893 = V762636 + 1. assign V924653 = V768203 - 1. assign V068696 = V722697. assign V804248 = V040586. assign V088550 = V151545. assign V296973 = V178137 - 1. assign V255346 = V690092 + 1. assign V120386 = V254912 + 1. assign V044447 = V438903. assign V944647 = V151545. assign V502199 = V722697 - 1. assign V540992 = V234925 + 1. assign V851278 = V255346 + 1. assign V875188 = V929758 + 1. assign V463582 = V396962 + 1. assign V500809 = V517446 + 1. assign V093663 = V690092 - 1. assign V799044 = V690092 - 1. assign V719515 = V311036. assign V235372 = V502199. assign V469485 = V500809 - 1. assign V276453 = V829123 + 1. assign V698276 = V950736 - 1. assign V685195 = V311036 - 1. assign V671822 = V483589. assign V350320 = V502199 - 1. assign V687578 = V019917 - 1. assign V321551 = V359465 - 1. assign V234925 = V262065 - 1. assign V552448 = V477544 - 1. assign V908345 = V698276 - 1. assign V981752 = V750114 - 1. assign V928406 = V065902 + 1. assign V460346 = V404242 + 1. assign V065902 = V699018. assign V517446 = V690092. assign V992226 = V686073 - 1. assign V358164 = V992226 + 1. assign V954808 = V527765 + 1. assign V477944 = V687578. assign V246643 = V438903 - 1. assign V872955 = V263644 + 1. assign V929758 = V760206 + 1. assign V632845 = V540992. assign V465165 = V719515 - 1. assign V311227 = V091147. assign V399746 = V591354. assign V272992 = V997894 + 1. assign V592544 = V687578 + 1. assign V254912 = V713068 + 1. assign V917751 = V321551 + 1. assign V109769 = V690092. assign V756111 = V187077 + 1. assign V803492 = V924653 - 1. assign V668269 = V040586. assign V043415 = V321551 + 1. assign V750114 = V093191 - 1. assign V531139 = V722173. assign V842033 = V399746 + 1. assign V960572 = V347088 - 1. assign V723352 = V754936 + 1. assign V722085 = V540992 - 1. assign V866733 = V944647. assign V644721 = V528565 - 1. assign V884928 = V135789 + 1. assign V991167 = V754936. assign V138051 = V686073. assign V359465 = V591354. assign V347088 = V187077 - 1. assign V144654 = V311036 - 1. assign V404242 = V719515 + 1. assign V438903 = V984769. assign V713068 = V799044 + 1. assign V936837 = V254912 - 1. assign V019917 = V762636 + 1. assign V137386 = V595165. assign V567334 = V109769. assign V543279 = V107987 - 1. assign V950736 = V187077. assign V262065 = V500809 + 1. assign V251589 = V984558. assign V829123 = V254912 - 1. assign V984558 = V595165. assign V249926 = V044447 - 1. assign V882536 = V528565 + 1. assign V873666 = V137386 - 1. assign V701869 = V668269 - 1. assign V022595 = V984769 - 1. assign V591354 = V311036. assign V665967 = V353515. assign V320196 = V065902 + 1. assign V105573 = V472904. assign V099903 = V350320 + 1. assign V202545 = V950736. assign V699018 = V187077 + 1. assign V697301 = V263644 + 1. assign V477752 = V353515 + 1. assign V722697 = V768203 + 1. assign V591062 = V380187. assign V311036 = V528565 - 1. assign V178137 = V091147 - 1. assign V040586 = V699018. assign V996366 = V337942 + 1. assign V091147 = V350320 + 1. assign V135789 = V311036. assign V686073 = V187077. assign V693841 = V091147 - 1. assign V107987 = V722697 + 1. assign V251278 = V347088. assign V270613 = V144654 + 1. assign V984513 = V454198. assign V762636 = V950736 + 1. assign V901280 = V915993 - 1. assign V342496 = V311036 - 1. assign V120174 = V270613 - 1. assign V487834 = V265481 + 1. assign V981419 = V517446. assign V982158 = V699018 + 1. assign V965638 = V984769 - 1. assign V190453 = V702541 - 1. assign V754936 = V690092. assign V210062 = 5. assign V595165 = V984769. assign V438197 = V190453 + 1. assign V903567 = V321551 + 1. assign V768203 = V187077 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV210062 = 5;\n\nFrom these direct assignment(s), we have: \nV411125 = V210062 - 1 = 5 - 1 =4;\nNo other variables can be derived from V411125;\nNo other variables can be derived from V210062;\n\nNow we have done all the calculations. Derived variables are:\nV210062 = 5;\nV411125 = 4;\n\nNow we have finished this problem. ANSWER:\nV210062\n", "role": "assistant" } ]

[ "V827474" ]

[ { "content": "<context>\nassign V620827 = V617845 - 1. assign V984847 = V718429. assign V619088 = V837979 + 1. assign V122688 = V698565 + 1. assign V314077 = V766583 + 1. assign V512301 = V464205. assign V804893 = V888967. assign V569327 = V391388 - 1. assign V047705 = V484039 - 1. assign V718429 = V961134. assign V436022 = V532641 - 1. assign V019464 = V750950. assign V956952 = V484039. assign V944664 = V425526 + 1. assign V484039 = V684974 + 1. assign V104208 = V961134. assign V446348 = V944664. assign V547402 = V919749. assign V344387 = V984306 - 1. assign V507477 = V919749 + 1. assign V049356 = V769893 - 1. assign V461598 = V684974. assign V132765 = V733999. assign V811003 = V823668. assign V961134 = V136404. assign V888967 = V931490 + 1. assign V147615 = V852259 + 1. assign V136404 = V425526 - 1. assign V801126 = V470639 + 1. assign V178105 = V994085. assign V043294 = V614934. assign V112173 = V718429 + 1. assign V533338 = V410203. assign V777390 = V425526 + 1. assign V732704 = V961134. assign V662352 = V944664 + 1. assign V560054 = V974957 - 1. assign V390195 = V769893 + 1. assign V614934 = V732704 + 1. assign V809244 = V272782 - 1. assign V371831 = V811003 + 1. assign V823668 = V961134 + 1. assign V662543 = V809439 + 1. assign V834655 = V788306. assign V074425 = V391388 - 1. assign V824498 = V390195. assign V928186 = V837979 + 1. assign V491941 = V446348 + 1. assign V809439 = V732704 - 1. assign V475763 = V961134. assign V606102 = V831632 - 1. assign V243798 = V122688. assign V316667 = V484039. assign V407945 = V975968. assign V096262 = V425526 + 1. assign V204521 = V809439. assign V393906 = V961134 + 1. assign V391388 = V419854 + 1. assign V660979 = V823668 + 1. assign V325466 = V276442. assign V731601 = V620603. assign V853437 = V532627 - 1. assign V482521 = V914319 - 1. assign V989821 = V153815 - 1. assign V515658 = V136404 - 1. assign V464205 = V651240 - 1. assign V258834 = V560054 - 1. assign V657273 = V809439. assign V710511 = V289154 - 1. assign V962478 = V888967. assign V754242 = V732704. assign V706417 = V391388 + 1. assign V661309 = V811003. assign V153815 = V861652 - 1. assign V053589 = V811003. assign V527261 = V758262 - 1. assign V620598 = V750950 + 1. assign V030034 = V944664 - 1. assign V394594 = V507477. assign V664210 = V620713 - 1. assign V359309 = V415042 - 1. assign V410203 = V809439 + 1. assign V666632 = V240146 - 1. assign V498669 = V425526 + 1. assign V240006 = V019464 - 1. assign V737429 = V620827. assign V852701 = V498669 - 1. assign V837979 = V410203. assign V861652 = V532627 - 1. assign V672740 = V107927. assign V425526 = V733999 - 1. assign V297682 = V391388 - 1. assign V289154 = V240006 + 1. assign V359421 = V809439 - 1. assign V919749 = V377557 + 1. assign V357601 = V136404 - 1. assign V107927 = V532627 + 1. assign V827474 = 0. assign V176638 = V074425 + 1. assign V788306 = V944664 - 1. assign V620603 = V984306. assign V272782 = V732704. assign V276442 = V919749. assign V143375 = V240006 - 1. assign V590414 = V394594. assign V239486 = V662352 - 1. assign V948886 = V852701. assign V470639 = V532627 - 1. assign V945270 = V660979 + 1. assign V377557 = V961134 - 1. assign V984128 = V684974 - 1. assign V684622 = V944664 - 1. assign V373296 = V961134. assign V831632 = V377557 - 1. assign V980982 = V684622 + 1. assign V727377 = V620603 + 1. assign V488574 = V961134 + 1. assign V065845 = V801126 - 1. assign V132058 = V733999 + 1. assign V202268 = V377557. assign V617845 = V132765 - 1. assign V467624 = V070110 - 1. assign V532627 = V132765. assign V419854 = V377557. assign V490833 = V470639 - 1. assign V945371 = V436022 - 1. assign V750950 = V460082 - 1. assign V070110 = V221995 + 1. assign V190916 = V477598 + 1. assign V745615 = V590414 - 1. assign V460082 = V620603 + 1. assign V821203 = V662543 + 1. assign V994085 = V500058. assign V141284 = V800286 + 1. assign V974957 = V132058. assign V975968 = V823668 - 1. assign V184643 = V560054 - 1. assign V852259 = V136404. assign V651240 = V823668 - 1. assign V984306 = V132765 - 1. assign V941705 = V104208 - 1. assign V221995 = V944664. assign V931490 = V393906 + 1. assign V982194 = V811003 + 1. assign V530955 = V590414 + 1. assign V415042 = V221995. assign V727966 = V919749 - 1. assign V500058 = V660979 + 1. assign V766583 = V619088. assign V477598 = V132765 - 1. assign V205105 = V258834 + 1. assign V982688 = V470639 + 1. assign V307103 = V727966 - 1. assign V698565 = V662543 - 1. assign V269781 = V823668. assign V800286 = V961134 + 1. assign V560584 = V617845 - 1. assign V156660 = V837979 - 1. assign V769893 = V425526 - 1. assign V532641 = V373296. assign V349014 = V470639. assign V684974 = V410203 + 1. assign V758262 = V769893 - 1. assign V060306 = V750950 + 1. assign V240146 = V547402. assign V166207 = V404991 - 1. assign V019564 = V827474 - 1. assign V404991 = V532627 - 1. assign V792246 = V239486 + 1. assign V620713 = V982688 + 1. assign V752577 = V718429 + 1. assign V914319 = V974957.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V620827 = V617845 - 1. assign V984847 = V718429. assign V619088 = V837979 + 1. assign V122688 = V698565 + 1. assign V314077 = V766583 + 1. assign V512301 = V464205. assign V804893 = V888967. assign V569327 = V391388 - 1. assign V047705 = V484039 - 1. assign V718429 = V961134. assign V436022 = V532641 - 1. assign V019464 = V750950. assign V956952 = V484039. assign V944664 = V425526 + 1. assign V484039 = V684974 + 1. assign V104208 = V961134. assign V446348 = V944664. assign V547402 = V919749. assign V344387 = V984306 - 1. assign V507477 = V919749 + 1. assign V049356 = V769893 - 1. assign V461598 = V684974. assign V132765 = V733999. assign V811003 = V823668. assign V961134 = V136404. assign V888967 = V931490 + 1. assign V147615 = V852259 + 1. assign V136404 = V425526 - 1. assign V801126 = V470639 + 1. assign V178105 = V994085. assign V043294 = V614934. assign V112173 = V718429 + 1. assign V533338 = V410203. assign V777390 = V425526 + 1. assign V732704 = V961134. assign V662352 = V944664 + 1. assign V560054 = V974957 - 1. assign V390195 = V769893 + 1. assign V614934 = V732704 + 1. assign V809244 = V272782 - 1. assign V371831 = V811003 + 1. assign V823668 = V961134 + 1. assign V662543 = V809439 + 1. assign V834655 = V788306. assign V074425 = V391388 - 1. assign V824498 = V390195. assign V928186 = V837979 + 1. assign V491941 = V446348 + 1. assign V809439 = V732704 - 1. assign V475763 = V961134. assign V606102 = V831632 - 1. assign V243798 = V122688. assign V316667 = V484039. assign V407945 = V975968. assign V096262 = V425526 + 1. assign V204521 = V809439. assign V393906 = V961134 + 1. assign V391388 = V419854 + 1. assign V660979 = V823668 + 1. assign V325466 = V276442. assign V731601 = V620603. assign V853437 = V532627 - 1. assign V482521 = V914319 - 1. assign V989821 = V153815 - 1. assign V515658 = V136404 - 1. assign V464205 = V651240 - 1. assign V258834 = V560054 - 1. assign V657273 = V809439. assign V710511 = V289154 - 1. assign V962478 = V888967. assign V754242 = V732704. assign V706417 = V391388 + 1. assign V661309 = V811003. assign V153815 = V861652 - 1. assign V053589 = V811003. assign V527261 = V758262 - 1. assign V620598 = V750950 + 1. assign V030034 = V944664 - 1. assign V394594 = V507477. assign V664210 = V620713 - 1. assign V359309 = V415042 - 1. assign V410203 = V809439 + 1. assign V666632 = V240146 - 1. assign V498669 = V425526 + 1. assign V240006 = V019464 - 1. assign V737429 = V620827. assign V852701 = V498669 - 1. assign V837979 = V410203. assign V861652 = V532627 - 1. assign V672740 = V107927. assign V425526 = V733999 - 1. assign V297682 = V391388 - 1. assign V289154 = V240006 + 1. assign V359421 = V809439 - 1. assign V919749 = V377557 + 1. assign V357601 = V136404 - 1. assign V107927 = V532627 + 1. assign V827474 = 0. assign V176638 = V074425 + 1. assign V788306 = V944664 - 1. assign V620603 = V984306. assign V272782 = V732704. assign V276442 = V919749. assign V143375 = V240006 - 1. assign V590414 = V394594. assign V239486 = V662352 - 1. assign V948886 = V852701. assign V470639 = V532627 - 1. assign V945270 = V660979 + 1. assign V377557 = V961134 - 1. assign V984128 = V684974 - 1. assign V684622 = V944664 - 1. assign V373296 = V961134. assign V831632 = V377557 - 1. assign V980982 = V684622 + 1. assign V727377 = V620603 + 1. assign V488574 = V961134 + 1. assign V065845 = V801126 - 1. assign V132058 = V733999 + 1. assign V202268 = V377557. assign V617845 = V132765 - 1. assign V467624 = V070110 - 1. assign V532627 = V132765. assign V419854 = V377557. assign V490833 = V470639 - 1. assign V945371 = V436022 - 1. assign V750950 = V460082 - 1. assign V070110 = V221995 + 1. assign V190916 = V477598 + 1. assign V745615 = V590414 - 1. assign V460082 = V620603 + 1. assign V821203 = V662543 + 1. assign V994085 = V500058. assign V141284 = V800286 + 1. assign V974957 = V132058. assign V975968 = V823668 - 1. assign V184643 = V560054 - 1. assign V852259 = V136404. assign V651240 = V823668 - 1. assign V984306 = V132765 - 1. assign V941705 = V104208 - 1. assign V221995 = V944664. assign V931490 = V393906 + 1. assign V982194 = V811003 + 1. assign V530955 = V590414 + 1. assign V415042 = V221995. assign V727966 = V919749 - 1. assign V500058 = V660979 + 1. assign V766583 = V619088. assign V477598 = V132765 - 1. assign V205105 = V258834 + 1. assign V982688 = V470639 + 1. assign V307103 = V727966 - 1. assign V698565 = V662543 - 1. assign V269781 = V823668. assign V800286 = V961134 + 1. assign V560584 = V617845 - 1. assign V156660 = V837979 - 1. assign V769893 = V425526 - 1. assign V532641 = V373296. assign V349014 = V470639. assign V684974 = V410203 + 1. assign V758262 = V769893 - 1. assign V060306 = V750950 + 1. assign V240146 = V547402. assign V166207 = V404991 - 1. assign V019564 = V827474 - 1. assign V404991 = V532627 - 1. assign V792246 = V239486 + 1. assign V620713 = V982688 + 1. assign V752577 = V718429 + 1. assign V914319 = V974957.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV827474 = 0;\n\nFrom these direct assignment(s), we have: \nV019564 = V827474 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V019564;\nNo other variables can be derived from V827474;\n\nNow we have done all the calculations. Derived variables are:\nV827474 = 0;\nV019564 = -1;\n\nNow we have finished this problem. ANSWER:\nV827474\n", "role": "assistant" } ]

[ "V655053" ]

[ { "content": "<context>\nassign V827578 = V546565 - 1. assign V611173 = V636686. assign V144202 = V521737 + 1. assign V595977 = V702614 + 1. assign V092725 = V395572 - 1. assign V418284 = V637601 + 1. assign V944721 = V570335 + 1. assign V865109 = V430662 - 1. assign V090159 = V716402. assign V971153 = V091780 - 1. assign V121375 = V250633. assign V636686 = V637601. assign V330041 = V262314 + 1. assign V053765 = V048824. assign V691452 = V348145. assign V496893 = V206583 - 1. assign V465241 = V126234. assign V483065 = V900150 - 1. assign V840334 = V349428 + 1. assign V088896 = V546565 - 1. assign V570335 = V389295. assign V341766 = V389295 + 1. assign V849160 = V521737 + 1. assign V575362 = V655053 - 1. assign V349428 = V511466. assign V085236 = V389295. assign V289655 = V091780 + 1. assign V621740 = V289655. assign V995594 = V971153 - 1. assign V315596 = V418284 - 1. assign V226577 = V126234 - 1. assign V637601 = V511466 - 1. assign V550317 = V961715 + 1. assign V568066 = V961715 - 1. assign V651400 = V570335 + 1. assign V307645 = V250633 + 1. assign V022961 = V024815 + 1. assign V165931 = V349428 + 1. assign V655789 = V546565 + 1. assign V899274 = V521737 + 1. assign V630635 = V702614 + 1. assign V659436 = V521737. assign V742797 = V630635 + 1. assign V803345 = V900150 + 1. assign V102357 = V865109 - 1. assign V651599 = V095551 - 1. assign V209568 = V144202 + 1. assign V752696 = V142261 - 1. assign V091780 = V168744. assign V407629 = V142261 + 1. assign V655053 = 7. assign V429621 = V756652 - 1. assign V346370 = V414347. assign V071005 = V230568 - 1. assign V414347 = V144202 - 1. assign V326572 = V430662. assign V900150 = V568066 + 1. assign V048824 = V126234. assign V533014 = V206583. assign V389295 = V226577 - 1. assign V230568 = V356010 - 1. assign V439685 = V095551 - 1. assign V216038 = V095551 - 1. assign V094829 = V126234 - 1. assign V430662 = V262314 - 1. assign V239410 = V899274 - 1. assign V656136 = V651400. assign V554555 = V969910. assign V744202 = V146495 - 1. assign V844249 = V550317 - 1. assign V260869 = V945867 + 1. assign V020293 = V511466. assign V647118 = V090159. assign V765395 = V348145 - 1. assign V456092 = V226577 + 1. assign V395572 = V020293 - 1. assign V676769 = V334192 - 1. assign V391189 = V895149 - 1. assign V511466 = V126234 - 1. assign V120405 = V349428 + 1. assign V342462 = V209568. assign V369560 = V899495 - 1. assign V334192 = V651599 + 1. assign V226118 = V914136 - 1. assign V416825 = V655789 - 1. assign V897342 = V142261 - 1. assign V756652 = V456092 - 1. assign V949689 = V341766. assign V309654 = V630635. assign V142261 = V226577. assign V649905 = V092725. assign V345694 = V429621. assign V716402 = V142261 - 1. assign V630555 = V659436. assign V636202 = V020293 - 1. assign V057323 = V126234 - 1. assign V803769 = V595977. assign V095551 = V126234 + 1. assign V073366 = V088896 + 1. assign V395243 = V369560. assign V043076 = V084447. assign V155582 = V222679. assign V545752 = V142261 + 1. assign V895149 = V146495 + 1. assign V335900 = V849160 + 1. assign V073684 = V326572 - 1. assign V567500 = V866943. assign V560834 = V144202 + 1. assign V637547 = V334192 + 1. assign V914136 = V521737 + 1. assign V423170 = V348145. assign V149551 = V414347. assign V899588 = V330041. assign V777030 = V204751 + 1. assign V938890 = V899274 - 1. assign V024815 = V899274 - 1. assign V146495 = V250633. assign V568709 = V777030. assign V731020 = V866943. assign V458346 = V969910. assign V126234 = V144202. assign V960231 = V716402 - 1. assign V702614 = V048824 + 1. assign V945867 = V146495. assign V402475 = V326572. assign V262314 = V349428. assign V084447 = V647118 + 1. assign V463363 = V439685 - 1. assign V952424 = V423170. assign V961715 = V630635 - 1. assign V551351 = V103274 - 1. assign V526006 = V895149 - 1. assign V140694 = V456092. assign V176414 = V349428 - 1. assign V309029 = V389295 + 1. assign V846426 = V307645 + 1. assign V246863 = V356010 + 1. assign V365577 = V914136 - 1. assign V972935 = V960231 - 1. assign V207046 = V846426 - 1. assign V653769 = V365577 + 1. assign V899495 = V659436. assign V546565 = V414347 + 1. assign V374927 = V716402. assign V969910 = V630555. assign V866943 = V430662. assign V222679 = V226577 - 1. assign V356010 = V511466 + 1. assign V284395 = V952424 - 1. assign V514420 = V969910 - 1. assign V250633 = V636686 + 1. assign V399858 = V439685 + 1. assign V645697 = V345694 - 1. assign V949847 = V142261. assign V909734 = V439685 - 1. assign V638214 = V971153 - 1. assign V557846 = V345694 + 1. assign V492201 = V630555. assign V240993 = V262314. assign V256391 = V429621 + 1. assign V955311 = V048824 - 1. assign V206583 = V348145 - 1. assign V348145 = V511466. assign V168744 = V348145. assign V516933 = V326572 + 1. assign V103274 = V335900 - 1. assign V469380 = V399858. assign V102575 = V636686 - 1. assign V204751 = V250633. assign V054375 = V307645 + 1. assign V995776 = V849160 + 1. assign V513396 = V803769 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V827578 = V546565 - 1. assign V611173 = V636686. assign V144202 = V521737 + 1. assign V595977 = V702614 + 1. assign V092725 = V395572 - 1. assign V418284 = V637601 + 1. assign V944721 = V570335 + 1. assign V865109 = V430662 - 1. assign V090159 = V716402. assign V971153 = V091780 - 1. assign V121375 = V250633. assign V636686 = V637601. assign V330041 = V262314 + 1. assign V053765 = V048824. assign V691452 = V348145. assign V496893 = V206583 - 1. assign V465241 = V126234. assign V483065 = V900150 - 1. assign V840334 = V349428 + 1. assign V088896 = V546565 - 1. assign V570335 = V389295. assign V341766 = V389295 + 1. assign V849160 = V521737 + 1. assign V575362 = V655053 - 1. assign V349428 = V511466. assign V085236 = V389295. assign V289655 = V091780 + 1. assign V621740 = V289655. assign V995594 = V971153 - 1. assign V315596 = V418284 - 1. assign V226577 = V126234 - 1. assign V637601 = V511466 - 1. assign V550317 = V961715 + 1. assign V568066 = V961715 - 1. assign V651400 = V570335 + 1. assign V307645 = V250633 + 1. assign V022961 = V024815 + 1. assign V165931 = V349428 + 1. assign V655789 = V546565 + 1. assign V899274 = V521737 + 1. assign V630635 = V702614 + 1. assign V659436 = V521737. assign V742797 = V630635 + 1. assign V803345 = V900150 + 1. assign V102357 = V865109 - 1. assign V651599 = V095551 - 1. assign V209568 = V144202 + 1. assign V752696 = V142261 - 1. assign V091780 = V168744. assign V407629 = V142261 + 1. assign V655053 = 7. assign V429621 = V756652 - 1. assign V346370 = V414347. assign V071005 = V230568 - 1. assign V414347 = V144202 - 1. assign V326572 = V430662. assign V900150 = V568066 + 1. assign V048824 = V126234. assign V533014 = V206583. assign V389295 = V226577 - 1. assign V230568 = V356010 - 1. assign V439685 = V095551 - 1. assign V216038 = V095551 - 1. assign V094829 = V126234 - 1. assign V430662 = V262314 - 1. assign V239410 = V899274 - 1. assign V656136 = V651400. assign V554555 = V969910. assign V744202 = V146495 - 1. assign V844249 = V550317 - 1. assign V260869 = V945867 + 1. assign V020293 = V511466. assign V647118 = V090159. assign V765395 = V348145 - 1. assign V456092 = V226577 + 1. assign V395572 = V020293 - 1. assign V676769 = V334192 - 1. assign V391189 = V895149 - 1. assign V511466 = V126234 - 1. assign V120405 = V349428 + 1. assign V342462 = V209568. assign V369560 = V899495 - 1. assign V334192 = V651599 + 1. assign V226118 = V914136 - 1. assign V416825 = V655789 - 1. assign V897342 = V142261 - 1. assign V756652 = V456092 - 1. assign V949689 = V341766. assign V309654 = V630635. assign V142261 = V226577. assign V649905 = V092725. assign V345694 = V429621. assign V716402 = V142261 - 1. assign V630555 = V659436. assign V636202 = V020293 - 1. assign V057323 = V126234 - 1. assign V803769 = V595977. assign V095551 = V126234 + 1. assign V073366 = V088896 + 1. assign V395243 = V369560. assign V043076 = V084447. assign V155582 = V222679. assign V545752 = V142261 + 1. assign V895149 = V146495 + 1. assign V335900 = V849160 + 1. assign V073684 = V326572 - 1. assign V567500 = V866943. assign V560834 = V144202 + 1. assign V637547 = V334192 + 1. assign V914136 = V521737 + 1. assign V423170 = V348145. assign V149551 = V414347. assign V899588 = V330041. assign V777030 = V204751 + 1. assign V938890 = V899274 - 1. assign V024815 = V899274 - 1. assign V146495 = V250633. assign V568709 = V777030. assign V731020 = V866943. assign V458346 = V969910. assign V126234 = V144202. assign V960231 = V716402 - 1. assign V702614 = V048824 + 1. assign V945867 = V146495. assign V402475 = V326572. assign V262314 = V349428. assign V084447 = V647118 + 1. assign V463363 = V439685 - 1. assign V952424 = V423170. assign V961715 = V630635 - 1. assign V551351 = V103274 - 1. assign V526006 = V895149 - 1. assign V140694 = V456092. assign V176414 = V349428 - 1. assign V309029 = V389295 + 1. assign V846426 = V307645 + 1. assign V246863 = V356010 + 1. assign V365577 = V914136 - 1. assign V972935 = V960231 - 1. assign V207046 = V846426 - 1. assign V653769 = V365577 + 1. assign V899495 = V659436. assign V546565 = V414347 + 1. assign V374927 = V716402. assign V969910 = V630555. assign V866943 = V430662. assign V222679 = V226577 - 1. assign V356010 = V511466 + 1. assign V284395 = V952424 - 1. assign V514420 = V969910 - 1. assign V250633 = V636686 + 1. assign V399858 = V439685 + 1. assign V645697 = V345694 - 1. assign V949847 = V142261. assign V909734 = V439685 - 1. assign V638214 = V971153 - 1. assign V557846 = V345694 + 1. assign V492201 = V630555. assign V240993 = V262314. assign V256391 = V429621 + 1. assign V955311 = V048824 - 1. assign V206583 = V348145 - 1. assign V348145 = V511466. assign V168744 = V348145. assign V516933 = V326572 + 1. assign V103274 = V335900 - 1. assign V469380 = V399858. assign V102575 = V636686 - 1. assign V204751 = V250633. assign V054375 = V307645 + 1. assign V995776 = V849160 + 1. assign V513396 = V803769 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV655053 = 7;\n\nFrom these direct assignment(s), we have: \nV575362 = V655053 - 1 = 7 - 1 =6;\nNo other variables can be derived from V575362;\nNo other variables can be derived from V655053;\n\nNow we have done all the calculations. Derived variables are:\nV655053 = 7;\nV575362 = 6;\n\nNow we have finished this problem. ANSWER:\nV655053\n", "role": "assistant" } ]

[ "V938500", "V188634" ]

[ { "content": "<context>\nassign V120542 = V602345 - 1. assign V405282 = V869593 + 1. assign V683245 = V010150. assign V729353 = V215652 - 1. assign V150868 = V729353 - 1. assign V384962 = V929560. assign V828254 = V045024 + 1. assign V339021 = V088748 - 1. assign V619576 = V844813 + 1. assign V730792 = V964692 - 1. assign V010150 = V913186 - 1. assign V478955 = V690733 + 1. assign V144575 = V173596 - 1. assign V125997 = V668737 + 1. assign V103008 = V871554. assign V261742 = V548650 + 1. assign V221624 = V010150 + 1. assign V088748 = V692778. assign V754275 = V385087. assign V029169 = V265039. assign V126136 = V007784. assign V537543 = V600573. assign V913186 = V268882 - 1. assign V938500 = 9. assign V541736 = V003997 - 1. assign V397469 = V150216 + 1. assign V775942 = V633580 - 1. assign V881216 = V503950 - 1. assign V971857 = V729353 + 1. assign V961118 = V779795 - 1. assign V892676 = V150216. assign V415643 = V215652 + 1. assign V937313 = V793617 - 1. assign V503950 = V779795. assign V314469 = V410694 + 1. assign V739374 = V594909 + 1. assign V736592 = V385087. assign V427050 = V692778 - 1. assign V074593 = V598070. assign V680308 = V600573 - 1. assign V283305 = V799268. assign V548650 = V670565 - 1. assign V969460 = V248774. assign V396223 = V078492 - 1. assign V030569 = V449545. assign V007784 = V192563 - 1. assign V388300 = V235368 + 1. assign V528446 = V237345. assign V552099 = V523656. assign V236038 = V268882 + 1. assign V086398 = V600573 + 1. assign V308838 = V483611 - 1. assign V265039 = V215652. assign V896033 = V143016 - 1. assign V150050 = V045024 - 1. assign V192563 = V793617 - 1. assign V893211 = V737482 - 1. assign V929172 = V108574 + 1. assign V764392 = V548650 - 1. assign V779795 = V265039 + 1. assign V173596 = V268882 + 1. assign V865945 = V619576 + 1. assign V248774 = V173596. assign V985938 = V729353 - 1. assign V100505 = V594909. assign V935774 = V422022 - 1. assign V327518 = V523656. assign V523656 = V449545. assign V600573 = V192563. assign V926644 = V523656 - 1. assign V564964 = V853108. assign V483611 = V913186 - 1. assign V000695 = V512215 + 1. assign V933097 = V594909 - 1. assign V598070 = V451609. assign V143016 = V192563 - 1. assign V997846 = V029169 - 1. assign V035677 = V268882 + 1. assign V670565 = V793617. assign V108574 = V235368. assign V255821 = V126136 - 1. assign V670812 = V144575 + 1. assign V347148 = V555865 + 1. assign V715493 = V553590 + 1. assign V003997 = V929560 + 1. assign V831271 = V268882 - 1. assign V844813 = V779795. assign V053724 = V438713 + 1. assign V100228 = V451609 + 1. assign V941583 = V683245. assign V285846 = V120542. assign V692778 = V600573 - 1. assign V602345 = V261742 + 1. assign V869674 = V086398. assign V871554 = V078492 + 1. assign V690733 = V396223 - 1. assign V876951 = V078492 + 1. assign V438713 = V779795. assign V869593 = V779795. assign V053863 = V261742 + 1. assign V430397 = V310024. assign V807275 = V396223 + 1. assign V572757 = V962670. assign V735966 = V237345 + 1. assign V310024 = V449545 + 1. assign V422022 = V598070. assign V002124 = V074593. assign V646822 = V600573. assign V874038 = V449545 - 1. assign V937404 = V268882 - 1. assign V512215 = V261742 + 1. assign V193909 = V268882 + 1. assign V889641 = V193909 + 1. assign V852733 = V656724. assign V451609 = V548650 - 1. assign V235368 = V483611 - 1. assign V754440 = V670565. assign V762062 = V690733 + 1. assign V943004 = V265039 - 1. assign V935347 = V683245 - 1. assign V517434 = V265039. assign V536846 = V385087 - 1. assign V354165 = V739374. assign V609276 = V150868 - 1. assign V964692 = V053724 - 1. assign V959756 = V143016 + 1. assign V550951 = V261742. assign V449545 = V793617 - 1. assign V853108 = V548650 + 1. assign V999240 = V053724. assign V215652 = V449545. assign V973178 = V892676 - 1. assign V045024 = V007784. assign V385087 = V683245 + 1. assign V272013 = V754440 - 1. assign V555865 = V451609. assign V347551 = V844813 + 1. assign V280314 = V935347. assign V718326 = V029169. assign V070353 = V347148 - 1. assign V150216 = V422022. assign V598963 = V793617 + 1. assign V142560 = V553590. assign V928080 = V215652 - 1. assign V553590 = V451355 + 1. assign V237345 = V964692. assign V929560 = V053863 - 1. assign V078492 = V215652 - 1. assign V962670 = V754440 + 1. assign V129096 = V764392 - 1. assign V268882 = V739374. assign V459172 = V962670 - 1. assign V188634 = V938500. assign V989148 = V396223 + 1. assign V594909 = V670565 - 1. assign V737482 = V594909. assign V633580 = V729353. assign V086527 = V405282. assign V428380 = V449545. assign V749544 = V150216. assign V676990 = V598963 + 1. assign V064198 = V799268 - 1. assign V289169 = V385087 + 1. assign V799268 = V974427. assign V451355 = V937404 - 1. assign V932097 = V594909. assign V974427 = V268882. assign V140531 = V126136 + 1. assign V459218 = V268882. assign V410694 = V451609 - 1. assign V656724 = V764392 - 1. assign V668737 = V548650.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V120542 = V602345 - 1. assign V405282 = V869593 + 1. assign V683245 = V010150. assign V729353 = V215652 - 1. assign V150868 = V729353 - 1. assign V384962 = V929560. assign V828254 = V045024 + 1. assign V339021 = V088748 - 1. assign V619576 = V844813 + 1. assign V730792 = V964692 - 1. assign V010150 = V913186 - 1. assign V478955 = V690733 + 1. assign V144575 = V173596 - 1. assign V125997 = V668737 + 1. assign V103008 = V871554. assign V261742 = V548650 + 1. assign V221624 = V010150 + 1. assign V088748 = V692778. assign V754275 = V385087. assign V029169 = V265039. assign V126136 = V007784. assign V537543 = V600573. assign V913186 = V268882 - 1. assign V938500 = 9. assign V541736 = V003997 - 1. assign V397469 = V150216 + 1. assign V775942 = V633580 - 1. assign V881216 = V503950 - 1. assign V971857 = V729353 + 1. assign V961118 = V779795 - 1. assign V892676 = V150216. assign V415643 = V215652 + 1. assign V937313 = V793617 - 1. assign V503950 = V779795. assign V314469 = V410694 + 1. assign V739374 = V594909 + 1. assign V736592 = V385087. assign V427050 = V692778 - 1. assign V074593 = V598070. assign V680308 = V600573 - 1. assign V283305 = V799268. assign V548650 = V670565 - 1. assign V969460 = V248774. assign V396223 = V078492 - 1. assign V030569 = V449545. assign V007784 = V192563 - 1. assign V388300 = V235368 + 1. assign V528446 = V237345. assign V552099 = V523656. assign V236038 = V268882 + 1. assign V086398 = V600573 + 1. assign V308838 = V483611 - 1. assign V265039 = V215652. assign V896033 = V143016 - 1. assign V150050 = V045024 - 1. assign V192563 = V793617 - 1. assign V893211 = V737482 - 1. assign V929172 = V108574 + 1. assign V764392 = V548650 - 1. assign V779795 = V265039 + 1. assign V173596 = V268882 + 1. assign V865945 = V619576 + 1. assign V248774 = V173596. assign V985938 = V729353 - 1. assign V100505 = V594909. assign V935774 = V422022 - 1. assign V327518 = V523656. assign V523656 = V449545. assign V600573 = V192563. assign V926644 = V523656 - 1. assign V564964 = V853108. assign V483611 = V913186 - 1. assign V000695 = V512215 + 1. assign V933097 = V594909 - 1. assign V598070 = V451609. assign V143016 = V192563 - 1. assign V997846 = V029169 - 1. assign V035677 = V268882 + 1. assign V670565 = V793617. assign V108574 = V235368. assign V255821 = V126136 - 1. assign V670812 = V144575 + 1. assign V347148 = V555865 + 1. assign V715493 = V553590 + 1. assign V003997 = V929560 + 1. assign V831271 = V268882 - 1. assign V844813 = V779795. assign V053724 = V438713 + 1. assign V100228 = V451609 + 1. assign V941583 = V683245. assign V285846 = V120542. assign V692778 = V600573 - 1. assign V602345 = V261742 + 1. assign V869674 = V086398. assign V871554 = V078492 + 1. assign V690733 = V396223 - 1. assign V876951 = V078492 + 1. assign V438713 = V779795. assign V869593 = V779795. assign V053863 = V261742 + 1. assign V430397 = V310024. assign V807275 = V396223 + 1. assign V572757 = V962670. assign V735966 = V237345 + 1. assign V310024 = V449545 + 1. assign V422022 = V598070. assign V002124 = V074593. assign V646822 = V600573. assign V874038 = V449545 - 1. assign V937404 = V268882 - 1. assign V512215 = V261742 + 1. assign V193909 = V268882 + 1. assign V889641 = V193909 + 1. assign V852733 = V656724. assign V451609 = V548650 - 1. assign V235368 = V483611 - 1. assign V754440 = V670565. assign V762062 = V690733 + 1. assign V943004 = V265039 - 1. assign V935347 = V683245 - 1. assign V517434 = V265039. assign V536846 = V385087 - 1. assign V354165 = V739374. assign V609276 = V150868 - 1. assign V964692 = V053724 - 1. assign V959756 = V143016 + 1. assign V550951 = V261742. assign V449545 = V793617 - 1. assign V853108 = V548650 + 1. assign V999240 = V053724. assign V215652 = V449545. assign V973178 = V892676 - 1. assign V045024 = V007784. assign V385087 = V683245 + 1. assign V272013 = V754440 - 1. assign V555865 = V451609. assign V347551 = V844813 + 1. assign V280314 = V935347. assign V718326 = V029169. assign V070353 = V347148 - 1. assign V150216 = V422022. assign V598963 = V793617 + 1. assign V142560 = V553590. assign V928080 = V215652 - 1. assign V553590 = V451355 + 1. assign V237345 = V964692. assign V929560 = V053863 - 1. assign V078492 = V215652 - 1. assign V962670 = V754440 + 1. assign V129096 = V764392 - 1. assign V268882 = V739374. assign V459172 = V962670 - 1. assign V188634 = V938500. assign V989148 = V396223 + 1. assign V594909 = V670565 - 1. assign V737482 = V594909. assign V633580 = V729353. assign V086527 = V405282. assign V428380 = V449545. assign V749544 = V150216. assign V676990 = V598963 + 1. assign V064198 = V799268 - 1. assign V289169 = V385087 + 1. assign V799268 = V974427. assign V451355 = V937404 - 1. assign V932097 = V594909. assign V974427 = V268882. assign V140531 = V126136 + 1. assign V459218 = V268882. assign V410694 = V451609 - 1. assign V656724 = V764392 - 1. assign V668737 = V548650.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV938500 = 9;\n\nFrom these direct assignment(s), we have: \nV188634 = V938500 = 9;\nNo other variables can be derived from V188634;\nNo other variables can be derived from V938500;\n\nNow we have done all the calculations. Derived variables are:\nV938500 = 9;\nV188634 = 9;\n\nNow we have finished this problem. ANSWER:\nV938500, V188634\n", "role": "assistant" } ]

[ "V610887" ]

[ { "content": "<context>\nassign V091911 = V466791 - 1. assign V978173 = V699684. assign V533217 = V762174. assign V446913 = V610428. assign V065396 = V040456 - 1. assign V215560 = V273916. assign V219053 = V987741 + 1. assign V499799 = V752388 - 1. assign V273916 = V671490 - 1. assign V333443 = V639618. assign V583649 = V420965 + 1. assign V267481 = V460376 + 1. assign V420965 = V047222 + 1. assign V753617 = V619728 - 1. assign V294289 = V219053. assign V108025 = V671490 - 1. assign V203048 = V619728 - 1. assign V887557 = V274087 + 1. assign V872787 = V444626 - 1. assign V202283 = V333443. assign V149948 = V977873 - 1. assign V286137 = V977873 - 1. assign V794791 = V977873 + 1. assign V081741 = V454665 - 1. assign V799635 = V734275 - 1. assign V223036 = V444626 - 1. assign V439143 = V548545. assign V610428 = V276385 - 1. assign V671490 = V003025. assign V212545 = V602877. assign V210819 = V039883 - 1. assign V179649 = V149948. assign V737314 = V646001 + 1. assign V891168 = V610887 - 1. assign V116696 = V149948 + 1. assign V030585 = V639618. assign V276385 = V379179 - 1. assign V093651 = V951626 - 1. assign V127924 = V619728. assign V773130 = V762174 - 1. assign V572897 = V762174. assign V302767 = V986674. assign V176547 = V386982 + 1. assign V076648 = V040456 + 1. assign V466791 = V134034 - 1. assign V994622 = V003025 + 1. assign V610887 = 6. assign V454665 = V076648 - 1. assign V791186 = V379179 + 1. assign V728758 = V719130 - 1. assign V766417 = V203048. assign V782803 = V040456 + 1. assign V715287 = V143938 - 1. assign V047222 = V148379 - 1. assign V887985 = V737314 - 1. assign V639373 = V752388 + 1. assign V206995 = V039883 + 1. assign V800781 = V960301 + 1. assign V144162 = V409705. assign V857926 = V762174 + 1. assign V152928 = V951626 - 1. assign V006426 = V406139. assign V264383 = V887557. assign V409705 = V734946 + 1. assign V619728 = V572897 - 1. assign V091777 = V274651. assign V840477 = V533217 - 1. assign V918954 = V889899 - 1. assign V919722 = V409705 - 1. assign V496205 = V143938 + 1. assign V424867 = V065649. assign V183677 = V439143 + 1. assign V308851 = V379179 + 1. assign V362059 = V152928. assign V819928 = V954528 + 1. assign V517258 = V646001. assign V274651 = V951626 - 1. assign V677369 = V887557. assign V485420 = V091777. assign V233482 = V294289 - 1. assign V130940 = V062797 + 1. assign V199182 = V065396 - 1. assign V134034 = V619728 + 1. assign V522546 = V439143. assign V377043 = V091911 + 1. assign V602877 = V986674 - 1. assign V437844 = V091777 + 1. assign V903287 = V820020 + 1. assign V960301 = V065396. assign V379394 = V834971 + 1. assign V108638 = V206283. assign V329366 = V646001. assign V039883 = V619728 - 1. assign V329146 = V134034. assign V039792 = V646001 + 1. assign V188696 = V794791 - 1. assign V607005 = V854880 + 1. assign V169346 = V951626 + 1. assign V642669 = V302767 - 1. assign V771412 = V076648 - 1. assign V734946 = V039883 + 1. assign V639618 = V143938 - 1. assign V699684 = V767576. assign V960360 = V671490 + 1. assign V174176 = V889899 + 1. assign V696735 = V273916 + 1. assign V646001 = V223036. assign V854880 = V646001. assign V326780 = V409705. assign V260336 = V982331. assign V805117 = V639373. assign V206283 = V978173 - 1. assign V681193 = V607005 + 1. assign V982331 = V607005 + 1. assign V062797 = V406139. assign V233715 = V771412 - 1. assign V159977 = V572897 + 1. assign V820020 = V039883. assign V238447 = V454665 - 1. assign V486819 = V572897 + 1. assign V065649 = V210819 + 1. assign V752388 = V405343 + 1. assign V117014 = V406139. assign V040456 = V762174 + 1. assign V405343 = V062797. assign V444626 = V206995 - 1. assign V645111 = V854880 - 1. assign V926492 = V273916. assign V051738 = V040456 + 1. assign V551380 = V210819 - 1. assign V527079 = V424867 - 1. assign V709068 = V116696. assign V274087 = V065649 + 1. assign V386982 = V977873 + 1. assign V653168 = V709068 - 1. assign V379179 = V039883 - 1. assign V548545 = V159977. assign V412886 = V149948 + 1. assign V779642 = V639618 - 1. assign V309014 = V610428 + 1. assign V889899 = V377043. assign V834971 = V219053 - 1. assign V679675 = V206995. assign V986674 = V734946 - 1. assign V550685 = V030585 + 1. assign V712475 = V752388. assign V954528 = V143938. assign V567527 = V734946 + 1. assign V947717 = V767576. assign V460376 = V947717. assign V525515 = V709068. assign V632853 = V978173 + 1. assign V951626 = V276385. assign V663476 = V646001 + 1. assign V734275 = V567527. assign V095043 = V003025 - 1. assign V360021 = V548545 - 1. assign V951330 = V762174 + 1. assign V143938 = V159977 - 1. assign V561577 = V424867. assign V064573 = V212545. assign V003025 = V159977. assign V719130 = V619728 + 1. assign V987741 = V379179 + 1. assign V148379 = V065396. assign V648696 = V951626. assign V977873 = V134034 + 1. assign V767576 = V619728 - 1. assign V831150 = V496205. assign V714355 = V517258 + 1. assign V239481 = V276385 + 1. assign V406139 = V820020 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V091911 = V466791 - 1. assign V978173 = V699684. assign V533217 = V762174. assign V446913 = V610428. assign V065396 = V040456 - 1. assign V215560 = V273916. assign V219053 = V987741 + 1. assign V499799 = V752388 - 1. assign V273916 = V671490 - 1. assign V333443 = V639618. assign V583649 = V420965 + 1. assign V267481 = V460376 + 1. assign V420965 = V047222 + 1. assign V753617 = V619728 - 1. assign V294289 = V219053. assign V108025 = V671490 - 1. assign V203048 = V619728 - 1. assign V887557 = V274087 + 1. assign V872787 = V444626 - 1. assign V202283 = V333443. assign V149948 = V977873 - 1. assign V286137 = V977873 - 1. assign V794791 = V977873 + 1. assign V081741 = V454665 - 1. assign V799635 = V734275 - 1. assign V223036 = V444626 - 1. assign V439143 = V548545. assign V610428 = V276385 - 1. assign V671490 = V003025. assign V212545 = V602877. assign V210819 = V039883 - 1. assign V179649 = V149948. assign V737314 = V646001 + 1. assign V891168 = V610887 - 1. assign V116696 = V149948 + 1. assign V030585 = V639618. assign V276385 = V379179 - 1. assign V093651 = V951626 - 1. assign V127924 = V619728. assign V773130 = V762174 - 1. assign V572897 = V762174. assign V302767 = V986674. assign V176547 = V386982 + 1. assign V076648 = V040456 + 1. assign V466791 = V134034 - 1. assign V994622 = V003025 + 1. assign V610887 = 6. assign V454665 = V076648 - 1. assign V791186 = V379179 + 1. assign V728758 = V719130 - 1. assign V766417 = V203048. assign V782803 = V040456 + 1. assign V715287 = V143938 - 1. assign V047222 = V148379 - 1. assign V887985 = V737314 - 1. assign V639373 = V752388 + 1. assign V206995 = V039883 + 1. assign V800781 = V960301 + 1. assign V144162 = V409705. assign V857926 = V762174 + 1. assign V152928 = V951626 - 1. assign V006426 = V406139. assign V264383 = V887557. assign V409705 = V734946 + 1. assign V619728 = V572897 - 1. assign V091777 = V274651. assign V840477 = V533217 - 1. assign V918954 = V889899 - 1. assign V919722 = V409705 - 1. assign V496205 = V143938 + 1. assign V424867 = V065649. assign V183677 = V439143 + 1. assign V308851 = V379179 + 1. assign V362059 = V152928. assign V819928 = V954528 + 1. assign V517258 = V646001. assign V274651 = V951626 - 1. assign V677369 = V887557. assign V485420 = V091777. assign V233482 = V294289 - 1. assign V130940 = V062797 + 1. assign V199182 = V065396 - 1. assign V134034 = V619728 + 1. assign V522546 = V439143. assign V377043 = V091911 + 1. assign V602877 = V986674 - 1. assign V437844 = V091777 + 1. assign V903287 = V820020 + 1. assign V960301 = V065396. assign V379394 = V834971 + 1. assign V108638 = V206283. assign V329366 = V646001. assign V039883 = V619728 - 1. assign V329146 = V134034. assign V039792 = V646001 + 1. assign V188696 = V794791 - 1. assign V607005 = V854880 + 1. assign V169346 = V951626 + 1. assign V642669 = V302767 - 1. assign V771412 = V076648 - 1. assign V734946 = V039883 + 1. assign V639618 = V143938 - 1. assign V699684 = V767576. assign V960360 = V671490 + 1. assign V174176 = V889899 + 1. assign V696735 = V273916 + 1. assign V646001 = V223036. assign V854880 = V646001. assign V326780 = V409705. assign V260336 = V982331. assign V805117 = V639373. assign V206283 = V978173 - 1. assign V681193 = V607005 + 1. assign V982331 = V607005 + 1. assign V062797 = V406139. assign V233715 = V771412 - 1. assign V159977 = V572897 + 1. assign V820020 = V039883. assign V238447 = V454665 - 1. assign V486819 = V572897 + 1. assign V065649 = V210819 + 1. assign V752388 = V405343 + 1. assign V117014 = V406139. assign V040456 = V762174 + 1. assign V405343 = V062797. assign V444626 = V206995 - 1. assign V645111 = V854880 - 1. assign V926492 = V273916. assign V051738 = V040456 + 1. assign V551380 = V210819 - 1. assign V527079 = V424867 - 1. assign V709068 = V116696. assign V274087 = V065649 + 1. assign V386982 = V977873 + 1. assign V653168 = V709068 - 1. assign V379179 = V039883 - 1. assign V548545 = V159977. assign V412886 = V149948 + 1. assign V779642 = V639618 - 1. assign V309014 = V610428 + 1. assign V889899 = V377043. assign V834971 = V219053 - 1. assign V679675 = V206995. assign V986674 = V734946 - 1. assign V550685 = V030585 + 1. assign V712475 = V752388. assign V954528 = V143938. assign V567527 = V734946 + 1. assign V947717 = V767576. assign V460376 = V947717. assign V525515 = V709068. assign V632853 = V978173 + 1. assign V951626 = V276385. assign V663476 = V646001 + 1. assign V734275 = V567527. assign V095043 = V003025 - 1. assign V360021 = V548545 - 1. assign V951330 = V762174 + 1. assign V143938 = V159977 - 1. assign V561577 = V424867. assign V064573 = V212545. assign V003025 = V159977. assign V719130 = V619728 + 1. assign V987741 = V379179 + 1. assign V148379 = V065396. assign V648696 = V951626. assign V977873 = V134034 + 1. assign V767576 = V619728 - 1. assign V831150 = V496205. assign V714355 = V517258 + 1. assign V239481 = V276385 + 1. assign V406139 = V820020 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV610887 = 6;\n\nFrom these direct assignment(s), we have: \nV891168 = V610887 - 1 = 6 - 1 =5;\nNo other variables can be derived from V891168;\nNo other variables can be derived from V610887;\n\nNow we have done all the calculations. Derived variables are:\nV610887 = 6;\nV891168 = 5;\n\nNow we have finished this problem. ANSWER:\nV610887\n", "role": "assistant" } ]

[ "V723201" ]

[ { "content": "<context>\nassign V176418 = V157753 - 1. assign V527181 = V229635 + 1. assign V390038 = V858064 + 1. assign V604728 = V152768 + 1. assign V988437 = V185188 - 1. assign V418551 = V535913 - 1. assign V644013 = V000912 - 1. assign V933952 = V924050 - 1. assign V723201 = V961910 + 1. assign V719452 = V341240 + 1. assign V235051 = V099223 - 1. assign V076373 = V422657 + 1. assign V098194 = V291197 + 1. assign V422657 = V557478. assign V229635 = V146480 + 1. assign V406425 = V451353 - 1. assign V078606 = V722138 - 1. assign V000912 = V291197 + 1. assign V146480 = V172650 + 1. assign V185188 = V998617. assign V191630 = V949437 + 1. assign V827401 = V723408 - 1. assign V816190 = V400754. assign V972410 = V644013 + 1. assign V897053 = V341240 + 1. assign V649864 = V535594 + 1. assign V856602 = V191630. assign V161030 = V087524 + 1. assign V243983 = V185188 + 1. assign V047268 = V668903 + 1. assign V647878 = V291197 + 1. assign V730733 = V408759. assign V858064 = V291197 - 1. assign V160162 = V744834. assign V726341 = V073070 + 1. assign V217586 = V243983 - 1. assign V999452 = V223925 - 1. assign V949437 = V408759 + 1. assign V865092 = V390038 + 1. assign V341240 = V291197 + 1. assign V094356 = V073070 - 1. assign V035628 = V668903 - 1. assign V929781 = V073070 - 1. assign V157753 = V207927. assign V073070 = V877762 + 1. assign V904125 = V620111. assign V722138 = V140146 - 1. assign V754377 = V604728 + 1. assign V710591 = V078606. assign V231702 = V523001. assign V528709 = V972410 + 1. assign V774694 = V043502 - 1. assign V748403 = V620111. assign V194977 = V024620 - 1. assign V887432 = V231702 + 1. assign V656802 = V726341 - 1. assign V152768 = V798437 - 1. assign V998617 = V494692 + 1. assign V654642 = V726341 + 1. assign V921633 = V596623 - 1. assign V596623 = V291197 + 1. assign V913120 = V467170 - 1. assign V467170 = V235051. assign V103135 = V856602. assign V089547 = V788747. assign V033789 = V204185. assign V682477 = V998617 + 1. assign V099636 = V768224 + 1. assign V285310 = V291197 - 1. assign V948838 = V608484 + 1. assign V927533 = V449434. assign V411762 = V400754. assign V535594 = V341240 + 1. assign V663649 = V009166 + 1. assign V960914 = V921633 + 1. assign V608484 = V719452 + 1. assign V750330 = V683844. assign V798437 = V998617 - 1. assign V299551 = V941819. assign V623636 = V535594. assign V449434 = V596623 + 1. assign V678330 = V144074. assign V846643 = V062580. assign V099223 = V009166 + 1. assign V852838 = V360215 + 1. assign V024620 = V884093 + 1. assign V272301 = V608484 - 1. assign V457054 = V229635 + 1. assign V577866 = V644013 + 1. assign V941819 = V623636 + 1. assign V623824 = V076373. assign V247007 = V630901 - 1. assign V620111 = V858064 + 1. assign V600779 = V877762. assign V204185 = V960914. assign V396265 = V770434 - 1. assign V050282 = V921633. assign V258150 = V678330 - 1. assign V175985 = V232279 + 1. assign V188751 = V449434 + 1. assign V286078 = V035628 + 1. assign V018988 = V596623 - 1. assign V902653 = V078606 - 1. assign V223925 = V553174. assign V668903 = V494692 - 1. assign V423294 = V528709 + 1. assign V360215 = V341240 + 1. assign V882360 = V194977 - 1. assign V788747 = V073070 - 1. assign V009780 = V207927. assign V832208 = V277161 + 1. assign V336920 = V400754 + 1. assign V535913 = V341240. assign V243835 = V140146. assign V893659 = V336920. assign V683844 = V285310 + 1. assign V452333 = V730733 - 1. assign V961910 = 5. assign V027818 = V494692 + 1. assign V408759 = V027818 - 1. assign V718002 = V531339 - 1. assign V723408 = V647878 + 1. assign V553174 = V577866 - 1. assign V768224 = V243983 + 1. assign V924050 = V768224 - 1. assign V277161 = V884093. assign V444072 = V194030. assign V451353 = V620111 - 1. assign V744834 = V043502 - 1. assign V523001 = V998617 - 1. assign V877762 = V341240 + 1. assign V661744 = V927533 - 1. assign V718671 = V291197 - 1. assign V087524 = V921633 + 1. assign V820414 = V009216 - 1. assign V770434 = V467170. assign V379188 = V089547 - 1. assign V884093 = V683844 + 1. assign V232279 = V422657 + 1. assign V499327 = V452333 - 1. assign V140146 = V858064 - 1. assign V890078 = V972410. assign V909151 = V406425. assign V417561 = V360051 + 1. assign V815440 = V668903. assign V574991 = V644013. assign V043502 = V035628. assign V739712 = V360215. assign V194030 = V285310. assign V868272 = V390038. assign V630901 = V535594. assign V715921 = V140146. assign V635505 = V715921 + 1. assign V562960 = V194030. assign V018374 = V423294 + 1. assign V207927 = V146480 - 1. assign V400754 = V730733. assign V009216 = V400754. assign V144074 = V467170. assign V691860 = V286078 + 1. assign V108127 = V076373 - 1. assign V124076 = V000912 - 1. assign V977015 = V768224 + 1. assign V143197 = V523001 + 1. assign V360051 = V730733 + 1. assign V172650 = V858064 - 1. assign V557478 = V682477 + 1. assign V009166 = V172650 + 1. assign V494692 = V644013. assign V531339 = V076373 + 1. assign V822951 = V285310 + 1. assign V062580 = V035628 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V176418 = V157753 - 1. assign V527181 = V229635 + 1. assign V390038 = V858064 + 1. assign V604728 = V152768 + 1. assign V988437 = V185188 - 1. assign V418551 = V535913 - 1. assign V644013 = V000912 - 1. assign V933952 = V924050 - 1. assign V723201 = V961910 + 1. assign V719452 = V341240 + 1. assign V235051 = V099223 - 1. assign V076373 = V422657 + 1. assign V098194 = V291197 + 1. assign V422657 = V557478. assign V229635 = V146480 + 1. assign V406425 = V451353 - 1. assign V078606 = V722138 - 1. assign V000912 = V291197 + 1. assign V146480 = V172650 + 1. assign V185188 = V998617. assign V191630 = V949437 + 1. assign V827401 = V723408 - 1. assign V816190 = V400754. assign V972410 = V644013 + 1. assign V897053 = V341240 + 1. assign V649864 = V535594 + 1. assign V856602 = V191630. assign V161030 = V087524 + 1. assign V243983 = V185188 + 1. assign V047268 = V668903 + 1. assign V647878 = V291197 + 1. assign V730733 = V408759. assign V858064 = V291197 - 1. assign V160162 = V744834. assign V726341 = V073070 + 1. assign V217586 = V243983 - 1. assign V999452 = V223925 - 1. assign V949437 = V408759 + 1. assign V865092 = V390038 + 1. assign V341240 = V291197 + 1. assign V094356 = V073070 - 1. assign V035628 = V668903 - 1. assign V929781 = V073070 - 1. assign V157753 = V207927. assign V073070 = V877762 + 1. assign V904125 = V620111. assign V722138 = V140146 - 1. assign V754377 = V604728 + 1. assign V710591 = V078606. assign V231702 = V523001. assign V528709 = V972410 + 1. assign V774694 = V043502 - 1. assign V748403 = V620111. assign V194977 = V024620 - 1. assign V887432 = V231702 + 1. assign V656802 = V726341 - 1. assign V152768 = V798437 - 1. assign V998617 = V494692 + 1. assign V654642 = V726341 + 1. assign V921633 = V596623 - 1. assign V596623 = V291197 + 1. assign V913120 = V467170 - 1. assign V467170 = V235051. assign V103135 = V856602. assign V089547 = V788747. assign V033789 = V204185. assign V682477 = V998617 + 1. assign V099636 = V768224 + 1. assign V285310 = V291197 - 1. assign V948838 = V608484 + 1. assign V927533 = V449434. assign V411762 = V400754. assign V535594 = V341240 + 1. assign V663649 = V009166 + 1. assign V960914 = V921633 + 1. assign V608484 = V719452 + 1. assign V750330 = V683844. assign V798437 = V998617 - 1. assign V299551 = V941819. assign V623636 = V535594. assign V449434 = V596623 + 1. assign V678330 = V144074. assign V846643 = V062580. assign V099223 = V009166 + 1. assign V852838 = V360215 + 1. assign V024620 = V884093 + 1. assign V272301 = V608484 - 1. assign V457054 = V229635 + 1. assign V577866 = V644013 + 1. assign V941819 = V623636 + 1. assign V623824 = V076373. assign V247007 = V630901 - 1. assign V620111 = V858064 + 1. assign V600779 = V877762. assign V204185 = V960914. assign V396265 = V770434 - 1. assign V050282 = V921633. assign V258150 = V678330 - 1. assign V175985 = V232279 + 1. assign V188751 = V449434 + 1. assign V286078 = V035628 + 1. assign V018988 = V596623 - 1. assign V902653 = V078606 - 1. assign V223925 = V553174. assign V668903 = V494692 - 1. assign V423294 = V528709 + 1. assign V360215 = V341240 + 1. assign V882360 = V194977 - 1. assign V788747 = V073070 - 1. assign V009780 = V207927. assign V832208 = V277161 + 1. assign V336920 = V400754 + 1. assign V535913 = V341240. assign V243835 = V140146. assign V893659 = V336920. assign V683844 = V285310 + 1. assign V452333 = V730733 - 1. assign V961910 = 5. assign V027818 = V494692 + 1. assign V408759 = V027818 - 1. assign V718002 = V531339 - 1. assign V723408 = V647878 + 1. assign V553174 = V577866 - 1. assign V768224 = V243983 + 1. assign V924050 = V768224 - 1. assign V277161 = V884093. assign V444072 = V194030. assign V451353 = V620111 - 1. assign V744834 = V043502 - 1. assign V523001 = V998617 - 1. assign V877762 = V341240 + 1. assign V661744 = V927533 - 1. assign V718671 = V291197 - 1. assign V087524 = V921633 + 1. assign V820414 = V009216 - 1. assign V770434 = V467170. assign V379188 = V089547 - 1. assign V884093 = V683844 + 1. assign V232279 = V422657 + 1. assign V499327 = V452333 - 1. assign V140146 = V858064 - 1. assign V890078 = V972410. assign V909151 = V406425. assign V417561 = V360051 + 1. assign V815440 = V668903. assign V574991 = V644013. assign V043502 = V035628. assign V739712 = V360215. assign V194030 = V285310. assign V868272 = V390038. assign V630901 = V535594. assign V715921 = V140146. assign V635505 = V715921 + 1. assign V562960 = V194030. assign V018374 = V423294 + 1. assign V207927 = V146480 - 1. assign V400754 = V730733. assign V009216 = V400754. assign V144074 = V467170. assign V691860 = V286078 + 1. assign V108127 = V076373 - 1. assign V124076 = V000912 - 1. assign V977015 = V768224 + 1. assign V143197 = V523001 + 1. assign V360051 = V730733 + 1. assign V172650 = V858064 - 1. assign V557478 = V682477 + 1. assign V009166 = V172650 + 1. assign V494692 = V644013. assign V531339 = V076373 + 1. assign V822951 = V285310 + 1. assign V062580 = V035628 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV961910 = 5;\n\nFrom these direct assignment(s), we have: \nV723201 = V961910 + 1 = 5 + 1 =6;\nNo other variables can be derived from V723201;\nNo other variables can be derived from V961910;\n\nNow we have done all the calculations. Derived variables are:\nV961910 = 5;\nV723201 = 6;\n\nNow we have finished this problem. ANSWER:\nV723201\n", "role": "assistant" } ]

[ "V826239" ]

[ { "content": "<context>\nassign V424562 = V307065 - 1. assign V557065 = V534831 + 1. assign V674466 = V278982 - 1. assign V607935 = V309986 - 1. assign V793441 = V727201. assign V776948 = V312349 - 1. assign V228702 = V153830 - 1. assign V667455 = V921524. assign V988842 = V187097. assign V921524 = V727201 - 1. assign V135352 = V771024. assign V573913 = V192729 + 1. assign V090300 = V402021 - 1. assign V240852 = V970399 - 1. assign V210753 = V312349 - 1. assign V619476 = V710117. assign V532664 = V192729 + 1. assign V771024 = V333126 + 1. assign V289657 = V573913. assign V312349 = V532664. assign V497004 = V606454 - 1. assign V838151 = V545066 + 1. assign V257569 = V441011 + 1. assign V653702 = V902665 - 1. assign V861064 = V619901 + 1. assign V166871 = V727201. assign V170475 = V545066. assign V778839 = V557065. assign V716950 = V358521 + 1. assign V545066 = V153830 - 1. assign V936055 = V851649 + 1. assign V093813 = V793441 - 1. assign V701972 = V799104 + 1. assign V079409 = V683795 - 1. assign V250956 = V307065 - 1. assign V131437 = V075310. assign V281379 = V435029. assign V704522 = V351776 - 1. assign V432583 = V934560 - 1. assign V072322 = V210753 + 1. assign V799104 = V455165 - 1. assign V664234 = V456791. assign V996900 = V710117. assign V676226 = V050209 + 1. assign V026369 = V902665 - 1. assign V782380 = V970875. assign V615577 = V358521. assign V975754 = V902665 - 1. assign V827378 = V801946. assign V658215 = V295729. assign V801946 = V241195 - 1. assign V914888 = V226828 + 1. assign V493423 = V727201 - 1. assign V905933 = V795696 - 1. assign V643264 = V075310 - 1. assign V278982 = V532664 + 1. assign V253997 = V131279 - 1. assign V768574 = V877885 + 1. assign V644168 = V192729. assign V790327 = V653702 + 1. assign V198074 = V922006. assign V333126 = V827574 - 1. assign V368639 = V776948 - 1. assign V435029 = V455165 - 1. assign V920273 = V902665 + 1. assign V534831 = V278982 + 1. assign V404149 = V254341 + 1. assign V795696 = V804291 + 1. assign V487323 = V934560 - 1. assign V707301 = V289657 + 1. assign V358287 = V799104 - 1. assign V913658 = V975754 - 1. assign V796422 = V790705 - 1. assign V595698 = V455165. assign V448304 = V644168 - 1. assign V710117 = V210753. assign V489306 = V327744 - 1. assign V169415 = V795696 - 1. assign V880303 = V934560 + 1. assign V512332 = V683795 + 1. assign V176430 = V653702 - 1. assign V044698 = V403739 + 1. assign V441011 = V716950. assign V309627 = V799104 + 1. assign V683098 = V404149. assign V405788 = V403739. assign V445384 = V146733. assign V153830 = V192729 - 1. assign V168383 = V966884 + 1. assign V790705 = V192729 + 1. assign V606454 = V131279 - 1. assign V922006 = V573913 + 1. assign V351776 = V264960 - 1. assign V877885 = V615577. assign V842370 = V153830 + 1. assign V727201 = V254341 - 1. assign V548095 = V358521 + 1. assign V402021 = V827574 + 1. assign V917113 = V776948 - 1. assign V937011 = V187097 - 1. assign V096787 = V902420. assign V650490 = V826239 + 1. assign V625289 = V557065. assign V050209 = V557065 - 1. assign V622654 = V607935. assign V095688 = V615577. assign V473185 = V532664 - 1. assign V455165 = V644168. assign V149312 = V194453 - 1. assign V254341 = V644168 + 1. assign V826699 = V289657. assign V752176 = V405788 + 1. assign V949316 = V473185. assign V571652 = V793441 - 1. assign V633149 = V727201 + 1. assign V966884 = V512332 + 1. assign V437620 = V727201 - 1. assign V693876 = V667455 - 1. assign V902665 = V166871 - 1. assign V112327 = V333126 - 1. assign V259394 = V404149 - 1. assign V826239 = 3. assign V358521 = V701972 + 1. assign V047248 = V072322 + 1. assign V561871 = V187097. assign V503199 = V615577. assign V456791 = V799104 - 1. assign V564066 = V289657 + 1. assign V970875 = V664234 + 1. assign V804291 = V192729 + 1. assign V672559 = V512332 - 1. assign V131279 = V790705 - 1. assign V307065 = V573913. assign V194453 = V253997. assign V354422 = V975754. assign V146733 = V861064. assign V226828 = V289657. assign V884174 = V727201 + 1. assign V075310 = V192729 - 1. assign V259826 = V011639 + 1. assign V940851 = V309986. assign V241195 = V727201. assign V351157 = V827574 - 1. assign V187097 = V801946 + 1. assign V683795 = V192729 + 1. assign V145108 = V799104. assign V309986 = V655644. assign V670688 = V936055. assign V827574 = V727201 - 1. assign V473687 = V145108 - 1. assign V934560 = V557065. assign V324610 = V790327 + 1. assign V327744 = V404149 + 1. assign V655644 = V790705 - 1. assign V889704 = V333126 + 1. assign V902420 = V771024. assign V697414 = V044698. assign V274278 = V512332 - 1. assign V011639 = V655644. assign V295729 = V254341. assign V796873 = V254341 - 1. assign V966078 = V922006. assign V018025 = V707301 - 1. assign V514927 = V493423 + 1. assign V403739 = V187097. assign V619901 = V170475. assign V264960 = V655644. assign V075095 = V274278. assign V851649 = V241195. assign V553694 = V327744 + 1. assign V115172 = V435029 + 1. assign V970399 = V557065 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V424562 = V307065 - 1. assign V557065 = V534831 + 1. assign V674466 = V278982 - 1. assign V607935 = V309986 - 1. assign V793441 = V727201. assign V776948 = V312349 - 1. assign V228702 = V153830 - 1. assign V667455 = V921524. assign V988842 = V187097. assign V921524 = V727201 - 1. assign V135352 = V771024. assign V573913 = V192729 + 1. assign V090300 = V402021 - 1. assign V240852 = V970399 - 1. assign V210753 = V312349 - 1. assign V619476 = V710117. assign V532664 = V192729 + 1. assign V771024 = V333126 + 1. assign V289657 = V573913. assign V312349 = V532664. assign V497004 = V606454 - 1. assign V838151 = V545066 + 1. assign V257569 = V441011 + 1. assign V653702 = V902665 - 1. assign V861064 = V619901 + 1. assign V166871 = V727201. assign V170475 = V545066. assign V778839 = V557065. assign V716950 = V358521 + 1. assign V545066 = V153830 - 1. assign V936055 = V851649 + 1. assign V093813 = V793441 - 1. assign V701972 = V799104 + 1. assign V079409 = V683795 - 1. assign V250956 = V307065 - 1. assign V131437 = V075310. assign V281379 = V435029. assign V704522 = V351776 - 1. assign V432583 = V934560 - 1. assign V072322 = V210753 + 1. assign V799104 = V455165 - 1. assign V664234 = V456791. assign V996900 = V710117. assign V676226 = V050209 + 1. assign V026369 = V902665 - 1. assign V782380 = V970875. assign V615577 = V358521. assign V975754 = V902665 - 1. assign V827378 = V801946. assign V658215 = V295729. assign V801946 = V241195 - 1. assign V914888 = V226828 + 1. assign V493423 = V727201 - 1. assign V905933 = V795696 - 1. assign V643264 = V075310 - 1. assign V278982 = V532664 + 1. assign V253997 = V131279 - 1. assign V768574 = V877885 + 1. assign V644168 = V192729. assign V790327 = V653702 + 1. assign V198074 = V922006. assign V333126 = V827574 - 1. assign V368639 = V776948 - 1. assign V435029 = V455165 - 1. assign V920273 = V902665 + 1. assign V534831 = V278982 + 1. assign V404149 = V254341 + 1. assign V795696 = V804291 + 1. assign V487323 = V934560 - 1. assign V707301 = V289657 + 1. assign V358287 = V799104 - 1. assign V913658 = V975754 - 1. assign V796422 = V790705 - 1. assign V595698 = V455165. assign V448304 = V644168 - 1. assign V710117 = V210753. assign V489306 = V327744 - 1. assign V169415 = V795696 - 1. assign V880303 = V934560 + 1. assign V512332 = V683795 + 1. assign V176430 = V653702 - 1. assign V044698 = V403739 + 1. assign V441011 = V716950. assign V309627 = V799104 + 1. assign V683098 = V404149. assign V405788 = V403739. assign V445384 = V146733. assign V153830 = V192729 - 1. assign V168383 = V966884 + 1. assign V790705 = V192729 + 1. assign V606454 = V131279 - 1. assign V922006 = V573913 + 1. assign V351776 = V264960 - 1. assign V877885 = V615577. assign V842370 = V153830 + 1. assign V727201 = V254341 - 1. assign V548095 = V358521 + 1. assign V402021 = V827574 + 1. assign V917113 = V776948 - 1. assign V937011 = V187097 - 1. assign V096787 = V902420. assign V650490 = V826239 + 1. assign V625289 = V557065. assign V050209 = V557065 - 1. assign V622654 = V607935. assign V095688 = V615577. assign V473185 = V532664 - 1. assign V455165 = V644168. assign V149312 = V194453 - 1. assign V254341 = V644168 + 1. assign V826699 = V289657. assign V752176 = V405788 + 1. assign V949316 = V473185. assign V571652 = V793441 - 1. assign V633149 = V727201 + 1. assign V966884 = V512332 + 1. assign V437620 = V727201 - 1. assign V693876 = V667455 - 1. assign V902665 = V166871 - 1. assign V112327 = V333126 - 1. assign V259394 = V404149 - 1. assign V826239 = 3. assign V358521 = V701972 + 1. assign V047248 = V072322 + 1. assign V561871 = V187097. assign V503199 = V615577. assign V456791 = V799104 - 1. assign V564066 = V289657 + 1. assign V970875 = V664234 + 1. assign V804291 = V192729 + 1. assign V672559 = V512332 - 1. assign V131279 = V790705 - 1. assign V307065 = V573913. assign V194453 = V253997. assign V354422 = V975754. assign V146733 = V861064. assign V226828 = V289657. assign V884174 = V727201 + 1. assign V075310 = V192729 - 1. assign V259826 = V011639 + 1. assign V940851 = V309986. assign V241195 = V727201. assign V351157 = V827574 - 1. assign V187097 = V801946 + 1. assign V683795 = V192729 + 1. assign V145108 = V799104. assign V309986 = V655644. assign V670688 = V936055. assign V827574 = V727201 - 1. assign V473687 = V145108 - 1. assign V934560 = V557065. assign V324610 = V790327 + 1. assign V327744 = V404149 + 1. assign V655644 = V790705 - 1. assign V889704 = V333126 + 1. assign V902420 = V771024. assign V697414 = V044698. assign V274278 = V512332 - 1. assign V011639 = V655644. assign V295729 = V254341. assign V796873 = V254341 - 1. assign V966078 = V922006. assign V018025 = V707301 - 1. assign V514927 = V493423 + 1. assign V403739 = V187097. assign V619901 = V170475. assign V264960 = V655644. assign V075095 = V274278. assign V851649 = V241195. assign V553694 = V327744 + 1. assign V115172 = V435029 + 1. assign V970399 = V557065 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV826239 = 3;\n\nFrom these direct assignment(s), we have: \nV650490 = V826239 + 1 = 3 + 1 =4;\nNo other variables can be derived from V650490;\nNo other variables can be derived from V826239;\n\nNow we have done all the calculations. Derived variables are:\nV826239 = 3;\nV650490 = 4;\n\nNow we have finished this problem. ANSWER:\nV826239\n", "role": "assistant" } ]

[ "V157823" ]

[ { "content": "<context>\nassign V034084 = V455399. assign V392528 = V023429 - 1. assign V725851 = V831322 - 1. assign V831077 = V888976 - 1. assign V755780 = V831322 + 1. assign V978568 = V959885 + 1. assign V053185 = V443130 - 1. assign V947738 = V878794. assign V214723 = V799395 + 1. assign V437035 = V545130 + 1. assign V522971 = V321705. assign V294412 = V043604 - 1. assign V258281 = V787611 - 1. assign V893111 = V443130 + 1. assign V421858 = V833689. assign V192230 = V201225 - 1. assign V799395 = V908569 - 1. assign V434671 = V539417 + 1. assign V223458 = V726639. assign V831322 = V615755 + 1. assign V466928 = V883422. assign V147822 = V959885 - 1. assign V370619 = V787611 + 1. assign V123278 = V893111 + 1. assign V529123 = V939275 - 1. assign V917890 = V455399. assign V711166 = V593540. assign V226132 = V539417 + 1. assign V499612 = V443130 + 1. assign V408243 = V043604. assign V135802 = V043604 + 1. assign V545130 = V755780 - 1. assign V541098 = V558006 + 1. assign V110746 = V978971 + 1. assign V882296 = V294412 + 1. assign V985241 = V156702 - 1. assign V157149 = V947738 + 1. assign V539417 = V615755 + 1. assign V103404 = V224272 + 1. assign V682712 = V330393 - 1. assign V892842 = V917890. assign V395108 = V499612 - 1. assign V224272 = V879385 + 1. assign V794220 = V059426 + 1. assign V146404 = V539417 + 1. assign V743395 = V931831 - 1. assign V521773 = V059426 + 1. assign V559110 = V499612 + 1. assign V259436 = V931831 - 1. assign V210035 = V409655 - 1. assign V201225 = V722509 - 1. assign V558006 = V831322 - 1. assign V836200 = V135802. assign V945404 = V947738 - 1. assign V126308 = V985241 - 1. assign V563118 = V539417 - 1. assign V100572 = V755780 - 1. assign V298253 = V752662 + 1. assign V732468 = V644620 - 1. assign V700345 = V395108 + 1. assign V822117 = V104571. assign V816364 = V298253. assign V321705 = V831322 + 1. assign V247145 = V563118 - 1. assign V573663 = V156702 - 1. assign V443130 = V615755 + 1. assign V878794 = V330393. assign V978971 = V059426 + 1. assign V855484 = V661918 + 1. assign V628928 = V434671 + 1. assign V312604 = V893111. assign V330393 = V247145 - 1. assign V661918 = V223458 + 1. assign V059426 = V156702 - 1. assign V163677 = V499612 + 1. assign V222959 = V959885 + 1. assign V341480 = V985241 + 1. assign V720365 = V564678 + 1. assign V112324 = V100572. assign V986508 = V661918. assign V702618 = V582742 + 1. assign V953391 = V066513 - 1. assign V880903 = 4. assign V017312 = V521773 - 1. assign V782377 = V787611 - 1. assign V752662 = V545130 + 1. assign V455399 = V539417 + 1. assign V990786 = V073074 - 1. assign V720345 = V567155 + 1. assign V888976 = V443130 + 1. assign V744975 = V104571. assign V043604 = V878794. assign V567155 = V156702 + 1. assign V569985 = V156702 + 1. assign V834769 = V947738. assign V412807 = V834769 + 1. assign V767034 = V163677 + 1. assign V330673 = V953391 + 1. assign V972976 = V755780 - 1. assign V617666 = V835479 + 1. assign V678468 = V059426 - 1. assign V279410 = V066513 + 1. assign V154138 = V192230. assign V156702 = V615755 + 1. assign V939275 = V569985 + 1. assign V262052 = V569985 - 1. assign V453435 = V615755 + 1. assign V908569 = V582742 + 1. assign V310172 = V539417 + 1. assign V758258 = V787611. assign V023429 = V754075 - 1. assign V644620 = V573663 + 1. assign V370252 = V421858 + 1. assign V066513 = V615755 + 1. assign V341186 = V661918 + 1. assign V503925 = V323481. assign V211477 = V661918 - 1. assign V080664 = V522971 + 1. assign V685290 = V879385. assign V869940 = V126308 - 1. assign V684786 = V822117 + 1. assign V833689 = V298253 + 1. assign V497286 = V720365. assign V016667 = V156702 - 1. assign V420971 = V564678 - 1. assign V912209 = V163677 + 1. assign V835479 = V247145 - 1. assign V104571 = V563118 + 1. assign V959885 = V437035 - 1. assign V251550 = V567155 + 1. assign V722509 = V066513 + 1. assign V021297 = V247145. assign V593540 = V836200 + 1. assign V569546 = V437035 - 1. assign V654636 = V247145 - 1. assign V775748 = V615755. assign V582742 = V229572. assign V368676 = V226132 - 1. assign V091425 = V059426 + 1. assign V754075 = V999638 - 1. assign V787611 = V443130 + 1. assign V726639 = V558006. assign V194508 = V409655. assign V879385 = V678468. assign V217676 = V163677. assign V564678 = V615755 - 1. assign V958923 = V409655 + 1. assign V297700 = V229572 - 1. assign V291052 = V466928 + 1. assign V819160 = V466928 - 1. assign V409655 = V539417 + 1. assign V157823 = V880903 + 1. assign V370384 = V016667. assign V760945 = V831322 + 1. assign V089288 = V251550. assign V768024 = V320650 - 1. assign V320650 = V321705. assign V220017 = V879385 + 1. assign V323481 = V569985 - 1. assign V794125 = V059426 - 1. assign V931831 = V417716 - 1. assign V883422 = V370384 - 1. assign V299549 = V073074 - 1. assign V021344 = V437035 + 1. assign V365509 = V321705 + 1. assign V417716 = V455399 + 1. assign V288951 = V156702 - 1. assign V229572 = V888976 - 1. assign V073074 = V787611 + 1. assign V486376 = V834769 - 1. assign V676731 = V628928. assign V999638 = V104571 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V034084 = V455399. assign V392528 = V023429 - 1. assign V725851 = V831322 - 1. assign V831077 = V888976 - 1. assign V755780 = V831322 + 1. assign V978568 = V959885 + 1. assign V053185 = V443130 - 1. assign V947738 = V878794. assign V214723 = V799395 + 1. assign V437035 = V545130 + 1. assign V522971 = V321705. assign V294412 = V043604 - 1. assign V258281 = V787611 - 1. assign V893111 = V443130 + 1. assign V421858 = V833689. assign V192230 = V201225 - 1. assign V799395 = V908569 - 1. assign V434671 = V539417 + 1. assign V223458 = V726639. assign V831322 = V615755 + 1. assign V466928 = V883422. assign V147822 = V959885 - 1. assign V370619 = V787611 + 1. assign V123278 = V893111 + 1. assign V529123 = V939275 - 1. assign V917890 = V455399. assign V711166 = V593540. assign V226132 = V539417 + 1. assign V499612 = V443130 + 1. assign V408243 = V043604. assign V135802 = V043604 + 1. assign V545130 = V755780 - 1. assign V541098 = V558006 + 1. assign V110746 = V978971 + 1. assign V882296 = V294412 + 1. assign V985241 = V156702 - 1. assign V157149 = V947738 + 1. assign V539417 = V615755 + 1. assign V103404 = V224272 + 1. assign V682712 = V330393 - 1. assign V892842 = V917890. assign V395108 = V499612 - 1. assign V224272 = V879385 + 1. assign V794220 = V059426 + 1. assign V146404 = V539417 + 1. assign V743395 = V931831 - 1. assign V521773 = V059426 + 1. assign V559110 = V499612 + 1. assign V259436 = V931831 - 1. assign V210035 = V409655 - 1. assign V201225 = V722509 - 1. assign V558006 = V831322 - 1. assign V836200 = V135802. assign V945404 = V947738 - 1. assign V126308 = V985241 - 1. assign V563118 = V539417 - 1. assign V100572 = V755780 - 1. assign V298253 = V752662 + 1. assign V732468 = V644620 - 1. assign V700345 = V395108 + 1. assign V822117 = V104571. assign V816364 = V298253. assign V321705 = V831322 + 1. assign V247145 = V563118 - 1. assign V573663 = V156702 - 1. assign V443130 = V615755 + 1. assign V878794 = V330393. assign V978971 = V059426 + 1. assign V855484 = V661918 + 1. assign V628928 = V434671 + 1. assign V312604 = V893111. assign V330393 = V247145 - 1. assign V661918 = V223458 + 1. assign V059426 = V156702 - 1. assign V163677 = V499612 + 1. assign V222959 = V959885 + 1. assign V341480 = V985241 + 1. assign V720365 = V564678 + 1. assign V112324 = V100572. assign V986508 = V661918. assign V702618 = V582742 + 1. assign V953391 = V066513 - 1. assign V880903 = 4. assign V017312 = V521773 - 1. assign V782377 = V787611 - 1. assign V752662 = V545130 + 1. assign V455399 = V539417 + 1. assign V990786 = V073074 - 1. assign V720345 = V567155 + 1. assign V888976 = V443130 + 1. assign V744975 = V104571. assign V043604 = V878794. assign V567155 = V156702 + 1. assign V569985 = V156702 + 1. assign V834769 = V947738. assign V412807 = V834769 + 1. assign V767034 = V163677 + 1. assign V330673 = V953391 + 1. assign V972976 = V755780 - 1. assign V617666 = V835479 + 1. assign V678468 = V059426 - 1. assign V279410 = V066513 + 1. assign V154138 = V192230. assign V156702 = V615755 + 1. assign V939275 = V569985 + 1. assign V262052 = V569985 - 1. assign V453435 = V615755 + 1. assign V908569 = V582742 + 1. assign V310172 = V539417 + 1. assign V758258 = V787611. assign V023429 = V754075 - 1. assign V644620 = V573663 + 1. assign V370252 = V421858 + 1. assign V066513 = V615755 + 1. assign V341186 = V661918 + 1. assign V503925 = V323481. assign V211477 = V661918 - 1. assign V080664 = V522971 + 1. assign V685290 = V879385. assign V869940 = V126308 - 1. assign V684786 = V822117 + 1. assign V833689 = V298253 + 1. assign V497286 = V720365. assign V016667 = V156702 - 1. assign V420971 = V564678 - 1. assign V912209 = V163677 + 1. assign V835479 = V247145 - 1. assign V104571 = V563118 + 1. assign V959885 = V437035 - 1. assign V251550 = V567155 + 1. assign V722509 = V066513 + 1. assign V021297 = V247145. assign V593540 = V836200 + 1. assign V569546 = V437035 - 1. assign V654636 = V247145 - 1. assign V775748 = V615755. assign V582742 = V229572. assign V368676 = V226132 - 1. assign V091425 = V059426 + 1. assign V754075 = V999638 - 1. assign V787611 = V443130 + 1. assign V726639 = V558006. assign V194508 = V409655. assign V879385 = V678468. assign V217676 = V163677. assign V564678 = V615755 - 1. assign V958923 = V409655 + 1. assign V297700 = V229572 - 1. assign V291052 = V466928 + 1. assign V819160 = V466928 - 1. assign V409655 = V539417 + 1. assign V157823 = V880903 + 1. assign V370384 = V016667. assign V760945 = V831322 + 1. assign V089288 = V251550. assign V768024 = V320650 - 1. assign V320650 = V321705. assign V220017 = V879385 + 1. assign V323481 = V569985 - 1. assign V794125 = V059426 - 1. assign V931831 = V417716 - 1. assign V883422 = V370384 - 1. assign V299549 = V073074 - 1. assign V021344 = V437035 + 1. assign V365509 = V321705 + 1. assign V417716 = V455399 + 1. assign V288951 = V156702 - 1. assign V229572 = V888976 - 1. assign V073074 = V787611 + 1. assign V486376 = V834769 - 1. assign V676731 = V628928. assign V999638 = V104571 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV880903 = 4;\n\nFrom these direct assignment(s), we have: \nV157823 = V880903 + 1 = 4 + 1 =5;\nNo other variables can be derived from V157823;\nNo other variables can be derived from V880903;\n\nNow we have done all the calculations. Derived variables are:\nV880903 = 4;\nV157823 = 5;\n\nNow we have finished this problem. ANSWER:\nV157823\n", "role": "assistant" } ]

[ "V034113" ]

[ { "content": "<context>\nassign V560398 = V788484 + 1. assign V622482 = V423967 - 1. assign V297580 = V372009. assign V366515 = V788289 - 1. assign V345203 = V477336 + 1. assign V034113 = 4. assign V534894 = V939089. assign V856392 = V417989 - 1. assign V012593 = V633495 - 1. assign V047306 = V633495 - 1. assign V256698 = V134562. assign V841088 = V788484 + 1. assign V416202 = V039957 - 1. assign V094921 = V576564 + 1. assign V853308 = V097476. assign V633495 = V302249 + 1. assign V037229 = V776796 + 1. assign V857482 = V730868. assign V926078 = V376752 + 1. assign V507861 = V607263. assign V913879 = V939089. assign V246659 = V732949 - 1. assign V417989 = V913879 - 1. assign V732859 = V420253 - 1. assign V351143 = V311792 + 1. assign V352071 = V395505. assign V091253 = V293623. assign V708723 = V857482. assign V890608 = V302249 - 1. assign V266539 = V418991 + 1. assign V401884 = V579001 - 1. assign V714313 = V115863. assign V260080 = V192261 - 1. assign V526043 = V633303. assign V576564 = V464885 + 1. assign V546274 = V302249 + 1. assign V531642 = V924657 - 1. assign V928956 = V459475 + 1. assign V167340 = V281995 + 1. assign V376752 = V134562 - 1. assign V880510 = V534894 + 1. assign V979365 = V302249 - 1. assign V820045 = V735946. assign V307968 = V352071. assign V959981 = V729984 - 1. assign V493092 = V788289 + 1. assign V510094 = V729984 + 1. assign V331127 = V735946 + 1. assign V864917 = V141540. assign V562478 = V732949 - 1. assign V949139 = V721669. assign V775454 = V477336 + 1. assign V660101 = V331127 + 1. assign V372009 = V293623 - 1. assign V208347 = V646098 - 1. assign V102486 = V906318. assign V298655 = V395505 + 1. assign V580956 = V309672 + 1. assign V924657 = V351143 + 1. assign V087243 = V020224 - 1. assign V282014 = V395505 + 1. assign V870785 = V351143. assign V936820 = V134562 - 1. assign V097476 = V929224. assign V055322 = V646098. assign V538443 = V870785 + 1. assign V327195 = V534894 + 1. assign V580319 = V532246 + 1. assign V443624 = V352071 - 1. assign V467659 = V034113 + 1. assign V201471 = V134562 - 1. assign V086197 = V331127. assign V126775 = V510094 - 1. assign V134562 = V351143 - 1. assign V560091 = V646098 - 1. assign V320019 = V415794 - 1. assign V737029 = V201471 + 1. assign V309672 = V260080. assign V774177 = V735946. assign V419586 = V327195 - 1. assign V620142 = V702182 + 1. assign V878357 = V737029 + 1. assign V924324 = V192261. assign V450735 = V890608 - 1. assign V115863 = V448256 - 1. assign V477336 = V192261 - 1. assign V575518 = V356239 + 1. assign V863888 = V298655. assign V789018 = V633495 + 1. assign V020224 = V395505 - 1. assign V119643 = V931398 - 1. assign V732949 = V285887. assign V730868 = V395505 + 1. assign V762186 = V857482. assign V803659 = V789018 + 1. assign V459475 = V924324 - 1. assign V837460 = V714313. assign V795456 = V395505 - 1. assign V756165 = V134562 + 1. assign V423967 = V372009 + 1. assign V617963 = V575518 + 1. assign V388876 = V039957 - 1. assign V427477 = V260080. assign V332374 = V297580. assign V311792 = V302249 + 1. assign V356239 = V020224 + 1. assign V470990 = V721669 + 1. assign V929602 = V417989. assign V646098 = V931398 + 1. assign V420253 = V729984 - 1. assign V328277 = V087083 + 1. assign V483817 = V087243. assign V735946 = V477336 - 1. assign V461417 = V352071. assign V607263 = V818644 - 1. assign V776796 = V459475 + 1. assign V175610 = V012593. assign V818029 = V297580. assign V729984 = V311792 - 1. assign V721669 = V415794. assign V734195 = V939089 - 1. assign V501239 = V546274. assign V949645 = V020224 - 1. assign V538318 = V134562. assign V066756 = V464885 - 1. assign V932862 = V534894. assign V302249 = V192261 - 1. assign V788484 = V197689 - 1. assign V418991 = V646098 - 1. assign V640795 = V774177 + 1. assign V818644 = V136457 + 1. assign V293623 = V260080 - 1. assign V136457 = V929602 + 1. assign V633303 = V714313 + 1. assign V049209 = V575518 + 1. assign V395505 = V192261 - 1. assign V906318 = V820045. assign V087083 = V633495. assign V671791 = V721669. assign V532246 = V470990 - 1. assign V929224 = V929602 - 1. assign V141540 = V302249 + 1. assign V788289 = V730868. assign V411057 = V260080. assign V579001 = V857482. assign V415794 = V388876 - 1. assign V059156 = V730868 + 1. assign V197689 = V395505 + 1. assign V039957 = V192261 + 1. assign V939089 = V789018 - 1. assign V171059 = V729984 - 1. assign V394337 = V822569. assign V614112 = V448256 + 1. assign V440456 = V459475. assign V799374 = V192261 + 1. assign V285887 = V939089. assign V936977 = V282014. assign V924962 = V928956. assign V912795 = V928956 - 1. assign V901306 = V302249. assign V702182 = V795456 - 1. assign V531519 = V818644 + 1. assign V931398 = V293623 - 1. assign V017524 = V372009 - 1. assign V822569 = V538443 + 1. assign V464885 = V534894. assign V261482 = V929602 + 1. assign V690347 = V734195 + 1. assign V448256 = V020224 - 1. assign V281995 = V086197. assign V715582 = V094921 - 1. assign V811942 = V732949 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V560398 = V788484 + 1. assign V622482 = V423967 - 1. assign V297580 = V372009. assign V366515 = V788289 - 1. assign V345203 = V477336 + 1. assign V034113 = 4. assign V534894 = V939089. assign V856392 = V417989 - 1. assign V012593 = V633495 - 1. assign V047306 = V633495 - 1. assign V256698 = V134562. assign V841088 = V788484 + 1. assign V416202 = V039957 - 1. assign V094921 = V576564 + 1. assign V853308 = V097476. assign V633495 = V302249 + 1. assign V037229 = V776796 + 1. assign V857482 = V730868. assign V926078 = V376752 + 1. assign V507861 = V607263. assign V913879 = V939089. assign V246659 = V732949 - 1. assign V417989 = V913879 - 1. assign V732859 = V420253 - 1. assign V351143 = V311792 + 1. assign V352071 = V395505. assign V091253 = V293623. assign V708723 = V857482. assign V890608 = V302249 - 1. assign V266539 = V418991 + 1. assign V401884 = V579001 - 1. assign V714313 = V115863. assign V260080 = V192261 - 1. assign V526043 = V633303. assign V576564 = V464885 + 1. assign V546274 = V302249 + 1. assign V531642 = V924657 - 1. assign V928956 = V459475 + 1. assign V167340 = V281995 + 1. assign V376752 = V134562 - 1. assign V880510 = V534894 + 1. assign V979365 = V302249 - 1. assign V820045 = V735946. assign V307968 = V352071. assign V959981 = V729984 - 1. assign V493092 = V788289 + 1. assign V510094 = V729984 + 1. assign V331127 = V735946 + 1. assign V864917 = V141540. assign V562478 = V732949 - 1. assign V949139 = V721669. assign V775454 = V477336 + 1. assign V660101 = V331127 + 1. assign V372009 = V293623 - 1. assign V208347 = V646098 - 1. assign V102486 = V906318. assign V298655 = V395505 + 1. assign V580956 = V309672 + 1. assign V924657 = V351143 + 1. assign V087243 = V020224 - 1. assign V282014 = V395505 + 1. assign V870785 = V351143. assign V936820 = V134562 - 1. assign V097476 = V929224. assign V055322 = V646098. assign V538443 = V870785 + 1. assign V327195 = V534894 + 1. assign V580319 = V532246 + 1. assign V443624 = V352071 - 1. assign V467659 = V034113 + 1. assign V201471 = V134562 - 1. assign V086197 = V331127. assign V126775 = V510094 - 1. assign V134562 = V351143 - 1. assign V560091 = V646098 - 1. assign V320019 = V415794 - 1. assign V737029 = V201471 + 1. assign V309672 = V260080. assign V774177 = V735946. assign V419586 = V327195 - 1. assign V620142 = V702182 + 1. assign V878357 = V737029 + 1. assign V924324 = V192261. assign V450735 = V890608 - 1. assign V115863 = V448256 - 1. assign V477336 = V192261 - 1. assign V575518 = V356239 + 1. assign V863888 = V298655. assign V789018 = V633495 + 1. assign V020224 = V395505 - 1. assign V119643 = V931398 - 1. assign V732949 = V285887. assign V730868 = V395505 + 1. assign V762186 = V857482. assign V803659 = V789018 + 1. assign V459475 = V924324 - 1. assign V837460 = V714313. assign V795456 = V395505 - 1. assign V756165 = V134562 + 1. assign V423967 = V372009 + 1. assign V617963 = V575518 + 1. assign V388876 = V039957 - 1. assign V427477 = V260080. assign V332374 = V297580. assign V311792 = V302249 + 1. assign V356239 = V020224 + 1. assign V470990 = V721669 + 1. assign V929602 = V417989. assign V646098 = V931398 + 1. assign V420253 = V729984 - 1. assign V328277 = V087083 + 1. assign V483817 = V087243. assign V735946 = V477336 - 1. assign V461417 = V352071. assign V607263 = V818644 - 1. assign V776796 = V459475 + 1. assign V175610 = V012593. assign V818029 = V297580. assign V729984 = V311792 - 1. assign V721669 = V415794. assign V734195 = V939089 - 1. assign V501239 = V546274. assign V949645 = V020224 - 1. assign V538318 = V134562. assign V066756 = V464885 - 1. assign V932862 = V534894. assign V302249 = V192261 - 1. assign V788484 = V197689 - 1. assign V418991 = V646098 - 1. assign V640795 = V774177 + 1. assign V818644 = V136457 + 1. assign V293623 = V260080 - 1. assign V136457 = V929602 + 1. assign V633303 = V714313 + 1. assign V049209 = V575518 + 1. assign V395505 = V192261 - 1. assign V906318 = V820045. assign V087083 = V633495. assign V671791 = V721669. assign V532246 = V470990 - 1. assign V929224 = V929602 - 1. assign V141540 = V302249 + 1. assign V788289 = V730868. assign V411057 = V260080. assign V579001 = V857482. assign V415794 = V388876 - 1. assign V059156 = V730868 + 1. assign V197689 = V395505 + 1. assign V039957 = V192261 + 1. assign V939089 = V789018 - 1. assign V171059 = V729984 - 1. assign V394337 = V822569. assign V614112 = V448256 + 1. assign V440456 = V459475. assign V799374 = V192261 + 1. assign V285887 = V939089. assign V936977 = V282014. assign V924962 = V928956. assign V912795 = V928956 - 1. assign V901306 = V302249. assign V702182 = V795456 - 1. assign V531519 = V818644 + 1. assign V931398 = V293623 - 1. assign V017524 = V372009 - 1. assign V822569 = V538443 + 1. assign V464885 = V534894. assign V261482 = V929602 + 1. assign V690347 = V734195 + 1. assign V448256 = V020224 - 1. assign V281995 = V086197. assign V715582 = V094921 - 1. assign V811942 = V732949 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV034113 = 4;\n\nFrom these direct assignment(s), we have: \nV467659 = V034113 + 1 = 4 + 1 =5;\nNo other variables can be derived from V467659;\nNo other variables can be derived from V034113;\n\nNow we have done all the calculations. Derived variables are:\nV034113 = 4;\nV467659 = 5;\n\nNow we have finished this problem. ANSWER:\nV034113\n", "role": "assistant" } ]

[ "V414722" ]

[ { "content": "<context>\nassign V732909 = V076241 + 1. assign V845413 = V226056 - 1. assign V697048 = V978155 + 1. assign V902344 = V547066. assign V805138 = V048040 + 1. assign V170569 = V285960 + 1. assign V038543 = V621006 - 1. assign V099930 = V552358. assign V592222 = V810444 - 1. assign V241949 = V810444 + 1. assign V763111 = V285960. assign V294235 = V548704. assign V154262 = V601935 + 1. assign V956169 = V120443 - 1. assign V712026 = V806087 + 1. assign V232478 = V170569 - 1. assign V654975 = V521554. assign V741227 = V120443 - 1. assign V317568 = V985810. assign V637081 = V688180. assign V064803 = V763111 - 1. assign V586282 = V892249 + 1. assign V206449 = V566932. assign V838579 = V558944. assign V359677 = V285960 - 1. assign V076241 = V810444 + 1. assign V718296 = V730643 + 1. assign V564016 = V592222 - 1. assign V954809 = V423864 - 1. assign V148266 = V478481 - 1. assign V754791 = V920543. assign V323581 = V770780. assign V634473 = V901384. assign V289772 = V552358 + 1. assign V543085 = V548704 - 1. assign V048040 = V285960 + 1. assign V915014 = V558944 - 1. assign V811238 = V365086. assign V349795 = V543085 - 1. assign V942563 = V539768. assign V064812 = V349795 - 1. assign V928882 = V920543 + 1. assign V685853 = V524529 + 1. assign V566932 = V763111 + 1. assign V691333 = V484797. assign V123404 = V012908 + 1. assign V113535 = V137624. assign V523879 = V519620. assign V519620 = V478481. assign V524529 = V285960 + 1. assign V920541 = V457890 - 1. assign V532547 = V543085 + 1. assign V914840 = V558944 + 1. assign V434573 = V920543 + 1. assign V808234 = V457890 + 1. assign V106779 = V654975 - 1. assign V090122 = V164835 + 1. assign V735083 = V543085 - 1. assign V618471 = V994143 + 1. assign V901384 = V917643. assign V178041 = V810444 - 1. assign V353396 = V182616 - 1. assign V161378 = V434573 + 1. assign V481698 = V601935 + 1. assign V778897 = V120443 + 1. assign V548704 = V232478 - 1. assign V081371 = V064812 - 1. assign V739031 = V637081. assign V468414 = V137624 - 1. assign V479582 = V688180. assign V885057 = V267250 + 1. assign V688180 = V164835 - 1. assign V311283 = V558944 + 1. assign V192519 = V676074 - 1. assign V357715 = V182616. assign V700846 = V365086 + 1. assign V547066 = V349795 - 1. assign V101228 = V064405 - 1. assign V120443 = V170569 + 1. assign V226056 = V170569 + 1. assign V536667 = V359677 - 1. assign V121971 = V164835 + 1. assign V963018 = V704540. assign V934178 = V434894. assign V601935 = V390658 + 1. assign V024846 = V101228 - 1. assign V790604 = V385437 + 1. assign V390658 = V763111 + 1. assign V920543 = V457890 + 1. assign V090575 = V634473 - 1. assign V606465 = V942563. assign V301178 = V552358. assign V075707 = V637081. assign V012318 = V543085 + 1. assign V226400 = V161378 + 1. assign V806087 = V892249. assign V457890 = V170569. assign V434894 = V178041. assign V915082 = V101228. assign V267250 = V170569 + 1. assign V558944 = V688180. assign V621006 = V434573. assign V770780 = V676074 - 1. assign V260348 = V434573. assign V979987 = V677823 + 1. assign V157701 = V311099 - 1. assign V880494 = V294235 + 1. assign V440149 = V885057. assign V011960 = V285960 + 1. assign V704540 = V168746 - 1. assign V978155 = V637081 - 1. assign V670259 = V978155 - 1. assign V242796 = V586282 + 1. assign V311099 = V730643. assign V986702 = V120443 + 1. assign V730643 = V810444. assign V972954 = V038543. assign V457234 = V423864 + 1. assign V484797 = V621006. assign V478481 = V170569 + 1. assign V279237 = V323581 + 1. assign V676074 = V621006 - 1. assign V096178 = V414722 - 1. assign V970745 = V457890. assign V917643 = V168746 + 1. assign V168746 = V920543 - 1. assign V067708 = V637081 - 1. assign V112616 = V739031. assign V091206 = V739031 - 1. assign V605852 = V524529 - 1. assign V124451 = V178041 - 1. assign V226995 = V917643. assign V311669 = V157701 + 1. assign V884592 = V601935 + 1. assign V319363 = V232478 - 1. assign V920404 = V810444 - 1. assign V365086 = V763111 + 1. assign V016217 = V148266 - 1. assign V677823 = V161378 + 1. assign V064405 = V920543. assign V985810 = V601935. assign V892249 = V120443 + 1. assign V559926 = V226056 - 1. assign V979561 = V385437 + 1. assign V227698 = V478481 - 1. assign V994143 = V808234. assign V539768 = V075707 - 1. assign V299062 = V739031 + 1. assign V010797 = V168746 - 1. assign V053178 = V242796 - 1. assign V137624 = V539768 - 1. assign V414722 = 8. assign V914929 = V586282 + 1. assign V894025 = V385437 + 1. assign V281009 = V434894 - 1. assign V012908 = V161378 - 1. assign V334903 = V942563 - 1. assign V078578 = V521554 - 1. assign V521554 = V195791. assign V489845 = V164835. assign V668898 = V763111 + 1. assign V385437 = V285960 - 1. assign V310569 = V479582 - 1. assign V995002 = V688180 - 1. assign V812949 = V810444 - 1. assign V552358 = V601935 - 1. assign V182616 = V099930. assign V423864 = V227698 - 1. assign V164835 = V226056 - 1. assign V733067 = V075707. assign V810444 = V170569. assign V195791 = V845413 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V732909 = V076241 + 1. assign V845413 = V226056 - 1. assign V697048 = V978155 + 1. assign V902344 = V547066. assign V805138 = V048040 + 1. assign V170569 = V285960 + 1. assign V038543 = V621006 - 1. assign V099930 = V552358. assign V592222 = V810444 - 1. assign V241949 = V810444 + 1. assign V763111 = V285960. assign V294235 = V548704. assign V154262 = V601935 + 1. assign V956169 = V120443 - 1. assign V712026 = V806087 + 1. assign V232478 = V170569 - 1. assign V654975 = V521554. assign V741227 = V120443 - 1. assign V317568 = V985810. assign V637081 = V688180. assign V064803 = V763111 - 1. assign V586282 = V892249 + 1. assign V206449 = V566932. assign V838579 = V558944. assign V359677 = V285960 - 1. assign V076241 = V810444 + 1. assign V718296 = V730643 + 1. assign V564016 = V592222 - 1. assign V954809 = V423864 - 1. assign V148266 = V478481 - 1. assign V754791 = V920543. assign V323581 = V770780. assign V634473 = V901384. assign V289772 = V552358 + 1. assign V543085 = V548704 - 1. assign V048040 = V285960 + 1. assign V915014 = V558944 - 1. assign V811238 = V365086. assign V349795 = V543085 - 1. assign V942563 = V539768. assign V064812 = V349795 - 1. assign V928882 = V920543 + 1. assign V685853 = V524529 + 1. assign V566932 = V763111 + 1. assign V691333 = V484797. assign V123404 = V012908 + 1. assign V113535 = V137624. assign V523879 = V519620. assign V519620 = V478481. assign V524529 = V285960 + 1. assign V920541 = V457890 - 1. assign V532547 = V543085 + 1. assign V914840 = V558944 + 1. assign V434573 = V920543 + 1. assign V808234 = V457890 + 1. assign V106779 = V654975 - 1. assign V090122 = V164835 + 1. assign V735083 = V543085 - 1. assign V618471 = V994143 + 1. assign V901384 = V917643. assign V178041 = V810444 - 1. assign V353396 = V182616 - 1. assign V161378 = V434573 + 1. assign V481698 = V601935 + 1. assign V778897 = V120443 + 1. assign V548704 = V232478 - 1. assign V081371 = V064812 - 1. assign V739031 = V637081. assign V468414 = V137624 - 1. assign V479582 = V688180. assign V885057 = V267250 + 1. assign V688180 = V164835 - 1. assign V311283 = V558944 + 1. assign V192519 = V676074 - 1. assign V357715 = V182616. assign V700846 = V365086 + 1. assign V547066 = V349795 - 1. assign V101228 = V064405 - 1. assign V120443 = V170569 + 1. assign V226056 = V170569 + 1. assign V536667 = V359677 - 1. assign V121971 = V164835 + 1. assign V963018 = V704540. assign V934178 = V434894. assign V601935 = V390658 + 1. assign V024846 = V101228 - 1. assign V790604 = V385437 + 1. assign V390658 = V763111 + 1. assign V920543 = V457890 + 1. assign V090575 = V634473 - 1. assign V606465 = V942563. assign V301178 = V552358. assign V075707 = V637081. assign V012318 = V543085 + 1. assign V226400 = V161378 + 1. assign V806087 = V892249. assign V457890 = V170569. assign V434894 = V178041. assign V915082 = V101228. assign V267250 = V170569 + 1. assign V558944 = V688180. assign V621006 = V434573. assign V770780 = V676074 - 1. assign V260348 = V434573. assign V979987 = V677823 + 1. assign V157701 = V311099 - 1. assign V880494 = V294235 + 1. assign V440149 = V885057. assign V011960 = V285960 + 1. assign V704540 = V168746 - 1. assign V978155 = V637081 - 1. assign V670259 = V978155 - 1. assign V242796 = V586282 + 1. assign V311099 = V730643. assign V986702 = V120443 + 1. assign V730643 = V810444. assign V972954 = V038543. assign V457234 = V423864 + 1. assign V484797 = V621006. assign V478481 = V170569 + 1. assign V279237 = V323581 + 1. assign V676074 = V621006 - 1. assign V096178 = V414722 - 1. assign V970745 = V457890. assign V917643 = V168746 + 1. assign V168746 = V920543 - 1. assign V067708 = V637081 - 1. assign V112616 = V739031. assign V091206 = V739031 - 1. assign V605852 = V524529 - 1. assign V124451 = V178041 - 1. assign V226995 = V917643. assign V311669 = V157701 + 1. assign V884592 = V601935 + 1. assign V319363 = V232478 - 1. assign V920404 = V810444 - 1. assign V365086 = V763111 + 1. assign V016217 = V148266 - 1. assign V677823 = V161378 + 1. assign V064405 = V920543. assign V985810 = V601935. assign V892249 = V120443 + 1. assign V559926 = V226056 - 1. assign V979561 = V385437 + 1. assign V227698 = V478481 - 1. assign V994143 = V808234. assign V539768 = V075707 - 1. assign V299062 = V739031 + 1. assign V010797 = V168746 - 1. assign V053178 = V242796 - 1. assign V137624 = V539768 - 1. assign V414722 = 8. assign V914929 = V586282 + 1. assign V894025 = V385437 + 1. assign V281009 = V434894 - 1. assign V012908 = V161378 - 1. assign V334903 = V942563 - 1. assign V078578 = V521554 - 1. assign V521554 = V195791. assign V489845 = V164835. assign V668898 = V763111 + 1. assign V385437 = V285960 - 1. assign V310569 = V479582 - 1. assign V995002 = V688180 - 1. assign V812949 = V810444 - 1. assign V552358 = V601935 - 1. assign V182616 = V099930. assign V423864 = V227698 - 1. assign V164835 = V226056 - 1. assign V733067 = V075707. assign V810444 = V170569. assign V195791 = V845413 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV414722 = 8;\n\nFrom these direct assignment(s), we have: \nV096178 = V414722 - 1 = 8 - 1 =7;\nNo other variables can be derived from V096178;\nNo other variables can be derived from V414722;\n\nNow we have done all the calculations. Derived variables are:\nV414722 = 8;\nV096178 = 7;\n\nNow we have finished this problem. ANSWER:\nV414722\n", "role": "assistant" } ]

[ "V339549" ]

[ { "content": "<context>\nassign V373215 = V539496. assign V962227 = V126631 + 1. assign V335897 = V772140. assign V428079 = V464018 + 1. assign V366938 = V251317 - 1. assign V733731 = V876870 - 1. assign V673380 = V975472 + 1. assign V238506 = V744228 + 1. assign V015644 = V119003 - 1. assign V771424 = V509499 + 1. assign V479218 = V751679 - 1. assign V257300 = V384508 - 1. assign V596529 = V173575 + 1. assign V872623 = V452469 + 1. assign V060455 = V452469. assign V441059 = V502480 - 1. assign V691086 = V593118 + 1. assign V939852 = V276189. assign V591148 = V119003 + 1. assign V427505 = V314176 - 1. assign V968117 = V953971. assign V488315 = V323075 - 1. assign V897905 = V607101 - 1. assign V822858 = V502418 - 1. assign V119578 = V872964. assign V018814 = V572609 + 1. assign V744228 = V306454 + 1. assign V446262 = V287065. assign V414599 = V003124. assign V815898 = V238916 - 1. assign V276189 = V502480 + 1. assign V887948 = V772140. assign V746164 = V811172 + 1. assign V323075 = V377967 - 1. assign V502514 = V119003. assign V409568 = V210031 + 1. assign V819754 = V283761 + 1. assign V331068 = V315604. assign V772140 = V638419. assign V119003 = V180608 + 1. assign V524098 = V180608 - 1. assign V811172 = V041249 - 1. assign V678687 = V323075 - 1. assign V315604 = V617401 + 1. assign V180608 = V872964 - 1. assign V850698 = V953971 - 1. assign V638419 = V409713 - 1. assign V087298 = V897905 + 1. assign V512658 = V953971 + 1. assign V276944 = V815898. assign V347389 = V027246 - 1. assign V339549 = V113292 + 1. assign V502480 = V061696 - 1. assign V798737 = V306454. assign V572609 = V409713. assign V251317 = V287065 + 1. assign V932484 = V119003 - 1. assign V851341 = V238506. assign V370650 = V030750 - 1. assign V304543 = V704883 + 1. assign V283761 = V251317. assign V017129 = V932484 + 1. assign V902241 = V956318 + 1. assign V704883 = V554057 - 1. assign V041249 = V874455. assign V216209 = V136637 + 1. assign V874455 = V426717 - 1. assign V697540 = V503770 + 1. assign V691446 = V214370 + 1. assign V173575 = V867383 - 1. assign V238916 = V620269 - 1. assign V237422 = V744228. assign V632135 = V204153 + 1. assign V556129 = V003124. assign V766561 = V409713 + 1. assign V659318 = V276189 + 1. assign V352900 = V939852. assign V734576 = V556129. assign V096331 = V119578 - 1. assign V427294 = V503770. assign V058704 = V283761 - 1. assign V583659 = V497338 + 1. assign V539496 = V234140. assign V480108 = V502514. assign V876870 = V251317. assign V997565 = V018814 - 1. assign V614458 = V480108 - 1. assign V791747 = V480108 + 1. assign V754593 = V704883 - 1. assign V912054 = V509499 + 1. assign V975472 = V638419. assign V739999 = V744228 + 1. assign V210031 = V479218. assign V030750 = V210031. assign V351202 = V306454 + 1. assign V140244 = V932484 + 1. assign V797250 = V850698 - 1. assign V214370 = V772140. assign V563054 = V030750. assign V956318 = V377967. assign V333460 = V953971. assign V325522 = V819754 - 1. assign V785528 = V771424. assign V287065 = V119578 + 1. assign V375280 = V739999 - 1. assign V101421 = V572609 - 1. assign V593118 = V238916 + 1. assign V038671 = V867383 + 1. assign V495876 = V502514. assign V936437 = V228445 - 1. assign V377967 = V287065 + 1. assign V220675 = V347389 + 1. assign V464018 = V335897. assign V839945 = V366938. assign V514858 = V593118 + 1. assign V751679 = V119578 - 1. assign V783397 = V766561. assign V024006 = V754593 + 1. assign V595815 = V180608. assign V112244 = V333460 - 1. assign V126631 = V003124 + 1. assign V872964 = V306454 + 1. assign V607101 = V751679 - 1. assign V915186 = V441059 + 1. assign V426717 = V502480 + 1. assign V910457 = V276189 + 1. assign V737986 = V101421 + 1. assign V620269 = V119578 + 1. assign V234140 = V819754. assign V935300 = V101421 - 1. assign V867383 = V502480 - 1. assign V554057 = V744228 - 1. assign V613552 = V887948. assign V502418 = V496840. assign V255624 = V783397 + 1. assign V113292 = 5. assign V186699 = V613552 + 1. assign V708127 = V237706 - 1. assign V503770 = V872964 - 1. assign V228445 = V872964. assign V061696 = V228445 + 1. assign V027246 = V306454. assign V388228 = V591148 + 1. assign V953971 = V620269 - 1. assign V892390 = V509499 - 1. assign V271207 = V872623 - 1. assign V590213 = V638419. assign V329954 = V216209 + 1. assign V409713 = V872964 + 1. assign V136637 = V283761 - 1. assign V193254 = V620269 + 1. assign V509499 = V228445 - 1. assign V384508 = V798737. assign V703418 = V997565 + 1. assign V496840 = V675378. assign V448681 = V238506. assign V217089 = V003124 - 1. assign V916870 = V384508. assign V675378 = V228445 + 1. assign V328591 = V659318 - 1. assign V204153 = V617401 + 1. assign V452469 = V815898 - 1. assign V497338 = V751679 + 1. assign V237706 = V441059 + 1. assign V866087 = V228445. assign V172707 = V217089. assign V003124 = V180608. assign V591419 = V659318 + 1. assign V987586 = V015644 - 1. assign V894223 = V607101 - 1. assign V617401 = V502480. assign V314176 = V874455.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V373215 = V539496. assign V962227 = V126631 + 1. assign V335897 = V772140. assign V428079 = V464018 + 1. assign V366938 = V251317 - 1. assign V733731 = V876870 - 1. assign V673380 = V975472 + 1. assign V238506 = V744228 + 1. assign V015644 = V119003 - 1. assign V771424 = V509499 + 1. assign V479218 = V751679 - 1. assign V257300 = V384508 - 1. assign V596529 = V173575 + 1. assign V872623 = V452469 + 1. assign V060455 = V452469. assign V441059 = V502480 - 1. assign V691086 = V593118 + 1. assign V939852 = V276189. assign V591148 = V119003 + 1. assign V427505 = V314176 - 1. assign V968117 = V953971. assign V488315 = V323075 - 1. assign V897905 = V607101 - 1. assign V822858 = V502418 - 1. assign V119578 = V872964. assign V018814 = V572609 + 1. assign V744228 = V306454 + 1. assign V446262 = V287065. assign V414599 = V003124. assign V815898 = V238916 - 1. assign V276189 = V502480 + 1. assign V887948 = V772140. assign V746164 = V811172 + 1. assign V323075 = V377967 - 1. assign V502514 = V119003. assign V409568 = V210031 + 1. assign V819754 = V283761 + 1. assign V331068 = V315604. assign V772140 = V638419. assign V119003 = V180608 + 1. assign V524098 = V180608 - 1. assign V811172 = V041249 - 1. assign V678687 = V323075 - 1. assign V315604 = V617401 + 1. assign V180608 = V872964 - 1. assign V850698 = V953971 - 1. assign V638419 = V409713 - 1. assign V087298 = V897905 + 1. assign V512658 = V953971 + 1. assign V276944 = V815898. assign V347389 = V027246 - 1. assign V339549 = V113292 + 1. assign V502480 = V061696 - 1. assign V798737 = V306454. assign V572609 = V409713. assign V251317 = V287065 + 1. assign V932484 = V119003 - 1. assign V851341 = V238506. assign V370650 = V030750 - 1. assign V304543 = V704883 + 1. assign V283761 = V251317. assign V017129 = V932484 + 1. assign V902241 = V956318 + 1. assign V704883 = V554057 - 1. assign V041249 = V874455. assign V216209 = V136637 + 1. assign V874455 = V426717 - 1. assign V697540 = V503770 + 1. assign V691446 = V214370 + 1. assign V173575 = V867383 - 1. assign V238916 = V620269 - 1. assign V237422 = V744228. assign V632135 = V204153 + 1. assign V556129 = V003124. assign V766561 = V409713 + 1. assign V659318 = V276189 + 1. assign V352900 = V939852. assign V734576 = V556129. assign V096331 = V119578 - 1. assign V427294 = V503770. assign V058704 = V283761 - 1. assign V583659 = V497338 + 1. assign V539496 = V234140. assign V480108 = V502514. assign V876870 = V251317. assign V997565 = V018814 - 1. assign V614458 = V480108 - 1. assign V791747 = V480108 + 1. assign V754593 = V704883 - 1. assign V912054 = V509499 + 1. assign V975472 = V638419. assign V739999 = V744228 + 1. assign V210031 = V479218. assign V030750 = V210031. assign V351202 = V306454 + 1. assign V140244 = V932484 + 1. assign V797250 = V850698 - 1. assign V214370 = V772140. assign V563054 = V030750. assign V956318 = V377967. assign V333460 = V953971. assign V325522 = V819754 - 1. assign V785528 = V771424. assign V287065 = V119578 + 1. assign V375280 = V739999 - 1. assign V101421 = V572609 - 1. assign V593118 = V238916 + 1. assign V038671 = V867383 + 1. assign V495876 = V502514. assign V936437 = V228445 - 1. assign V377967 = V287065 + 1. assign V220675 = V347389 + 1. assign V464018 = V335897. assign V839945 = V366938. assign V514858 = V593118 + 1. assign V751679 = V119578 - 1. assign V783397 = V766561. assign V024006 = V754593 + 1. assign V595815 = V180608. assign V112244 = V333460 - 1. assign V126631 = V003124 + 1. assign V872964 = V306454 + 1. assign V607101 = V751679 - 1. assign V915186 = V441059 + 1. assign V426717 = V502480 + 1. assign V910457 = V276189 + 1. assign V737986 = V101421 + 1. assign V620269 = V119578 + 1. assign V234140 = V819754. assign V935300 = V101421 - 1. assign V867383 = V502480 - 1. assign V554057 = V744228 - 1. assign V613552 = V887948. assign V502418 = V496840. assign V255624 = V783397 + 1. assign V113292 = 5. assign V186699 = V613552 + 1. assign V708127 = V237706 - 1. assign V503770 = V872964 - 1. assign V228445 = V872964. assign V061696 = V228445 + 1. assign V027246 = V306454. assign V388228 = V591148 + 1. assign V953971 = V620269 - 1. assign V892390 = V509499 - 1. assign V271207 = V872623 - 1. assign V590213 = V638419. assign V329954 = V216209 + 1. assign V409713 = V872964 + 1. assign V136637 = V283761 - 1. assign V193254 = V620269 + 1. assign V509499 = V228445 - 1. assign V384508 = V798737. assign V703418 = V997565 + 1. assign V496840 = V675378. assign V448681 = V238506. assign V217089 = V003124 - 1. assign V916870 = V384508. assign V675378 = V228445 + 1. assign V328591 = V659318 - 1. assign V204153 = V617401 + 1. assign V452469 = V815898 - 1. assign V497338 = V751679 + 1. assign V237706 = V441059 + 1. assign V866087 = V228445. assign V172707 = V217089. assign V003124 = V180608. assign V591419 = V659318 + 1. assign V987586 = V015644 - 1. assign V894223 = V607101 - 1. assign V617401 = V502480. assign V314176 = V874455.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV113292 = 5;\n\nFrom these direct assignment(s), we have: \nV339549 = V113292 + 1 = 5 + 1 =6;\nNo other variables can be derived from V339549;\nNo other variables can be derived from V113292;\n\nNow we have done all the calculations. Derived variables are:\nV113292 = 5;\nV339549 = 6;\n\nNow we have finished this problem. ANSWER:\nV339549\n", "role": "assistant" } ]

[ "V536980" ]

[ { "content": "<context>\nassign V248544 = V217420 + 1. assign V491034 = V664275. assign V921770 = V247611 - 1. assign V340934 = V673002 - 1. assign V768247 = V130069 + 1. assign V872949 = V431662 + 1. assign V283777 = V115114. assign V584027 = V241106 + 1. assign V909418 = V701531 + 1. assign V459141 = V243731 - 1. assign V664275 = V980500 + 1. assign V249023 = V243731 - 1. assign V963145 = V697977 + 1. assign V115114 = V379118 + 1. assign V168869 = V162529. assign V051897 = V048455 - 1. assign V692249 = V628109. assign V819743 = V466773 - 1. assign V492194 = V305776. assign V632121 = V129369 + 1. assign V142561 = V323299 + 1. assign V615867 = V452488 + 1. assign V476829 = V911938 + 1. assign V009527 = V357446. assign V709164 = V452488 + 1. assign V305482 = V760053 + 1. assign V487691 = V130069 + 1. assign V779628 = V933486 - 1. assign V030960 = V239745 - 1. assign V162529 = V924391 + 1. assign V980500 = V987865. assign V840578 = V933486 + 1. assign V921822 = V275042 + 1. assign V915020 = V880626 + 1. assign V760053 = V701108 - 1. assign V527988 = V028647 - 1. assign V490659 = V520967. assign V383750 = V195565 - 1. assign V400753 = V491034. assign V014189 = V162529. assign V243472 = V695925. assign V270610 = V248544 - 1. assign V258933 = V248544. assign V199968 = V768247 + 1. assign V028647 = V129369. assign V062107 = V874510 + 1. assign V365372 = V536980 + 1. assign V120138 = V835132 + 1. assign V713279 = V846583. assign V225174 = V162529. assign V651983 = V162529 + 1. assign V841148 = V120138 - 1. assign V823377 = V790376 - 1. assign V090030 = V257888 + 1. assign V489620 = V408461 + 1. assign V357446 = V987865 - 1. assign V157218 = V697987 + 1. assign V911938 = V995082 - 1. assign V129369 = V610862 - 1. assign V995082 = V909418. assign V092286 = V091608. assign V305776 = V211279. assign V697977 = V305482. assign V466773 = V987865 + 1. assign V492751 = V323299. assign V878283 = V816811 + 1. assign V744518 = V415963 - 1. assign V120761 = V348751 + 1. assign V130792 = V383750 - 1. assign V284421 = V195565 + 1. assign V168931 = V924391 - 1. assign V593157 = V466773 - 1. assign V098372 = V938030 - 1. assign V815781 = V713279 - 1. assign V121175 = V129369. assign V800569 = V115114 - 1. assign V215860 = V987865 - 1. assign V176463 = V459141 + 1. assign V525178 = V841148 - 1. assign V048455 = V880626 + 1. assign V697987 = V431662 - 1. assign V733336 = V400753 + 1. assign V985964 = V014189 + 1. assign V865760 = V051897. assign V416038 = V664275 - 1. assign V379118 = V431662 - 1. assign V571500 = V030960 + 1. assign V737272 = V701531. assign V332085 = V225174 + 1. assign V415963 = V162529 - 1. assign V594210 = V628109 + 1. assign V692453 = V894008 - 1. assign V998913 = V176463 + 1. assign V677489 = V452488 + 1. assign V874510 = V650249 + 1. assign V452488 = V924391 - 1. assign V241106 = V014189 + 1. assign V096582 = V129369 - 1. assign V301988 = V332085 + 1. assign V892847 = V677489 + 1. assign V628109 = V323299 + 1. assign V794548 = V247611 + 1. assign V431662 = V120138. assign V673002 = V878283. assign V699890 = V491034 + 1. assign V239745 = V415963 + 1. assign V257888 = V872949. assign V632169 = V041680 + 1. assign V247611 = V924391 + 1. assign V833131 = V091608. assign V220651 = V225174 - 1. assign V634413 = V121175 + 1. assign V348751 = V924391 - 1. assign V777168 = V176463. assign V217420 = V225174. assign V195565 = V323299 - 1. assign V520967 = V121175. assign V797151 = V919818. assign V532744 = V431662. assign V408461 = V241106. assign V701108 = V924391 + 1. assign V817301 = V340934. assign V757902 = V275042 + 1. assign V536980 = 10. assign V919818 = V142561. assign V323299 = V162529 + 1. assign V822542 = V701108 + 1. assign V211279 = V162529 - 1. assign V693547 = V594210 + 1. assign V577306 = V466773 + 1. assign V003978 = V416038. assign V695925 = V980500. assign V933486 = V692249. assign V835132 = V701108. assign V574906 = V220651 - 1. assign V938030 = V841148 - 1. assign V544228 = V823377. assign V068052 = V911938. assign V243731 = V130069 + 1. assign V701531 = V323299. assign V816811 = V162529. assign V130069 = V835132 - 1. assign V610862 = V130069 + 1. assign V845891 = V677489 - 1. assign V210800 = V431662 - 1. assign V650249 = V120138 + 1. assign V937153 = V270610 - 1. assign V621208 = V577306 + 1. assign V041680 = V243731. assign V790376 = V168869 - 1. assign V091608 = V892847 + 1. assign V880626 = V835132 - 1. assign V518675 = V452488 - 1. assign V716555 = V357446. assign V408155 = V874510. assign V275042 = V415963. assign V048195 = V919818 + 1. assign V846583 = V287149 + 1. assign V612735 = V323299 + 1. assign V720575 = V348751 - 1. assign V757267 = V525178. assign V509488 = V195565 + 1. assign V242665 = V520967 - 1. assign V287149 = V720575 - 1. assign V987865 = V225174 + 1. assign V108210 = V692249 - 1. assign V023578 = V096582 + 1. assign V806276 = V664275 + 1. assign V594873 = V909418 + 1. assign V894008 = V933486. assign V681740 = V452488 - 1. assign V296196 = V248544 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V248544 = V217420 + 1. assign V491034 = V664275. assign V921770 = V247611 - 1. assign V340934 = V673002 - 1. assign V768247 = V130069 + 1. assign V872949 = V431662 + 1. assign V283777 = V115114. assign V584027 = V241106 + 1. assign V909418 = V701531 + 1. assign V459141 = V243731 - 1. assign V664275 = V980500 + 1. assign V249023 = V243731 - 1. assign V963145 = V697977 + 1. assign V115114 = V379118 + 1. assign V168869 = V162529. assign V051897 = V048455 - 1. assign V692249 = V628109. assign V819743 = V466773 - 1. assign V492194 = V305776. assign V632121 = V129369 + 1. assign V142561 = V323299 + 1. assign V615867 = V452488 + 1. assign V476829 = V911938 + 1. assign V009527 = V357446. assign V709164 = V452488 + 1. assign V305482 = V760053 + 1. assign V487691 = V130069 + 1. assign V779628 = V933486 - 1. assign V030960 = V239745 - 1. assign V162529 = V924391 + 1. assign V980500 = V987865. assign V840578 = V933486 + 1. assign V921822 = V275042 + 1. assign V915020 = V880626 + 1. assign V760053 = V701108 - 1. assign V527988 = V028647 - 1. assign V490659 = V520967. assign V383750 = V195565 - 1. assign V400753 = V491034. assign V014189 = V162529. assign V243472 = V695925. assign V270610 = V248544 - 1. assign V258933 = V248544. assign V199968 = V768247 + 1. assign V028647 = V129369. assign V062107 = V874510 + 1. assign V365372 = V536980 + 1. assign V120138 = V835132 + 1. assign V713279 = V846583. assign V225174 = V162529. assign V651983 = V162529 + 1. assign V841148 = V120138 - 1. assign V823377 = V790376 - 1. assign V090030 = V257888 + 1. assign V489620 = V408461 + 1. assign V357446 = V987865 - 1. assign V157218 = V697987 + 1. assign V911938 = V995082 - 1. assign V129369 = V610862 - 1. assign V995082 = V909418. assign V092286 = V091608. assign V305776 = V211279. assign V697977 = V305482. assign V466773 = V987865 + 1. assign V492751 = V323299. assign V878283 = V816811 + 1. assign V744518 = V415963 - 1. assign V120761 = V348751 + 1. assign V130792 = V383750 - 1. assign V284421 = V195565 + 1. assign V168931 = V924391 - 1. assign V593157 = V466773 - 1. assign V098372 = V938030 - 1. assign V815781 = V713279 - 1. assign V121175 = V129369. assign V800569 = V115114 - 1. assign V215860 = V987865 - 1. assign V176463 = V459141 + 1. assign V525178 = V841148 - 1. assign V048455 = V880626 + 1. assign V697987 = V431662 - 1. assign V733336 = V400753 + 1. assign V985964 = V014189 + 1. assign V865760 = V051897. assign V416038 = V664275 - 1. assign V379118 = V431662 - 1. assign V571500 = V030960 + 1. assign V737272 = V701531. assign V332085 = V225174 + 1. assign V415963 = V162529 - 1. assign V594210 = V628109 + 1. assign V692453 = V894008 - 1. assign V998913 = V176463 + 1. assign V677489 = V452488 + 1. assign V874510 = V650249 + 1. assign V452488 = V924391 - 1. assign V241106 = V014189 + 1. assign V096582 = V129369 - 1. assign V301988 = V332085 + 1. assign V892847 = V677489 + 1. assign V628109 = V323299 + 1. assign V794548 = V247611 + 1. assign V431662 = V120138. assign V673002 = V878283. assign V699890 = V491034 + 1. assign V239745 = V415963 + 1. assign V257888 = V872949. assign V632169 = V041680 + 1. assign V247611 = V924391 + 1. assign V833131 = V091608. assign V220651 = V225174 - 1. assign V634413 = V121175 + 1. assign V348751 = V924391 - 1. assign V777168 = V176463. assign V217420 = V225174. assign V195565 = V323299 - 1. assign V520967 = V121175. assign V797151 = V919818. assign V532744 = V431662. assign V408461 = V241106. assign V701108 = V924391 + 1. assign V817301 = V340934. assign V757902 = V275042 + 1. assign V536980 = 10. assign V919818 = V142561. assign V323299 = V162529 + 1. assign V822542 = V701108 + 1. assign V211279 = V162529 - 1. assign V693547 = V594210 + 1. assign V577306 = V466773 + 1. assign V003978 = V416038. assign V695925 = V980500. assign V933486 = V692249. assign V835132 = V701108. assign V574906 = V220651 - 1. assign V938030 = V841148 - 1. assign V544228 = V823377. assign V068052 = V911938. assign V243731 = V130069 + 1. assign V701531 = V323299. assign V816811 = V162529. assign V130069 = V835132 - 1. assign V610862 = V130069 + 1. assign V845891 = V677489 - 1. assign V210800 = V431662 - 1. assign V650249 = V120138 + 1. assign V937153 = V270610 - 1. assign V621208 = V577306 + 1. assign V041680 = V243731. assign V790376 = V168869 - 1. assign V091608 = V892847 + 1. assign V880626 = V835132 - 1. assign V518675 = V452488 - 1. assign V716555 = V357446. assign V408155 = V874510. assign V275042 = V415963. assign V048195 = V919818 + 1. assign V846583 = V287149 + 1. assign V612735 = V323299 + 1. assign V720575 = V348751 - 1. assign V757267 = V525178. assign V509488 = V195565 + 1. assign V242665 = V520967 - 1. assign V287149 = V720575 - 1. assign V987865 = V225174 + 1. assign V108210 = V692249 - 1. assign V023578 = V096582 + 1. assign V806276 = V664275 + 1. assign V594873 = V909418 + 1. assign V894008 = V933486. assign V681740 = V452488 - 1. assign V296196 = V248544 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV536980 = 10;\n\nFrom these direct assignment(s), we have: \nV365372 = V536980 + 1 = 10 + 1 =11;\nNo other variables can be derived from V365372;\nNo other variables can be derived from V536980;\n\nNow we have done all the calculations. Derived variables are:\nV536980 = 10;\nV365372 = 11;\n\nNow we have finished this problem. ANSWER:\nV536980\n", "role": "assistant" } ]

[ "V526881" ]

[ { "content": "<context>\nassign V395280 = V116495. assign V182202 = V234271 + 1. assign V001271 = V819081 + 1. assign V203529 = V911224 + 1. assign V215820 = V568060 - 1. assign V860205 = V421601 + 1. assign V526881 = 0. assign V001909 = V174565 + 1. assign V087050 = V219799. assign V848994 = V132537. assign V066719 = V410640. assign V755232 = V408019 + 1. assign V168668 = V968165 - 1. assign V958883 = V132537 + 1. assign V348128 = V119704. assign V421601 = V755232 + 1. assign V819081 = V064655 + 1. assign V374695 = V455304 + 1. assign V715283 = V286599 + 1. assign V575200 = V001271. assign V675785 = V986702 - 1. assign V185092 = V031336 + 1. assign V810128 = V127566. assign V362564 = V819081 - 1. assign V701174 = V224008. assign V689362 = V941664 + 1. assign V570627 = V224008 + 1. assign V461971 = V116495 + 1. assign V234271 = V404757 - 1. assign V762582 = V185750 + 1. assign V782469 = V819081. assign V568060 = V875201 + 1. assign V394239 = V421601 - 1. assign V417942 = V857056. assign V798791 = V031336. assign V345433 = V300257 - 1. assign V137817 = V111340 - 1. assign V942123 = V031336 + 1. assign V967054 = V111340 + 1. assign V693396 = V958883 - 1. assign V222197 = V292815. assign V354570 = V860239 - 1. assign V830285 = V151530. assign V027928 = V123301 + 1. assign V883584 = V354570 + 1. assign V888021 = V031336 - 1. assign V561805 = V664023. assign V551376 = V123301 - 1. assign V947558 = V664023 - 1. assign V404757 = V979512 - 1. assign V455304 = V527047 + 1. assign V598180 = V245834 - 1. assign V879518 = V573040 - 1. assign V018991 = V947558. assign V911224 = V578528. assign V245834 = V001909 - 1. assign V180910 = V466928 - 1. assign V368154 = V047098. assign V300257 = V185092 - 1. assign V051697 = V986702 - 1. assign V151530 = V362070 + 1. assign V047098 = V203529. assign V674271 = V061986 + 1. assign V031336 = V132537 + 1. assign V130183 = V368154 - 1. assign V992219 = V417942. assign V362070 = V245834 + 1. assign V064655 = V979512 - 1. assign V768674 = V455304 - 1. assign V569278 = V986702 - 1. assign V723981 = V374695. assign V061986 = V283367 - 1. assign V805375 = V888021 - 1. assign V542404 = V167552 - 1. assign V498468 = V860239 - 1. assign V573040 = V245834. assign V041972 = V064655 + 1. assign V860239 = V245834 - 1. assign V292815 = V219799. assign V968165 = V185092. assign V219799 = V132537. assign V882435 = V664023. assign V844347 = V345433 - 1. assign V608761 = V466928 + 1. assign V167552 = V755232 - 1. assign V111340 = V524451. assign V224008 = V123301 + 1. assign V594507 = V182202. assign V871875 = V979512 + 1. assign V119704 = V755232 + 1. assign V830176 = V404757 - 1. assign V183087 = V047098 + 1. assign V593234 = V180910. assign V610881 = V674505 - 1. assign V283367 = V111340. assign V127566 = V911224. assign V290566 = V762582 - 1. assign V028976 = V871875 + 1. assign V654554 = V507801. assign V707139 = V986702 + 1. assign V095149 = V526881 - 1. assign V123301 = V986702. assign V132537 = V911224 + 1. assign V150655 = V299640 + 1. assign V116495 = V578528 + 1. assign V661533 = V824813 - 1. assign V430460 = V792524 + 1. assign V417382 = V570627 - 1. assign V953287 = V179904 + 1. assign V664023 = V568060 + 1. assign V066747 = V132537 - 1. assign V792524 = V123301 - 1. assign V466928 = V362070 + 1. assign V392688 = V534772 + 1. assign V421474 = V430460 + 1. assign V584780 = V283367 - 1. assign V062447 = V986702 + 1. assign V817432 = V594507 - 1. assign V931272 = V573040 + 1. assign V981868 = V049898 + 1. assign V956040 = V524451 - 1. assign V174565 = V956040 + 1. assign V361127 = V888021. assign V947273 = V290566. assign V473418 = V408019 + 1. assign V798789 = V618191 + 1. assign V941664 = V430460 + 1. assign V674505 = V001271 - 1. assign V049898 = V179904 + 1. assign V096819 = V618191 + 1. assign V781876 = V830176 + 1. assign V939776 = V762582 - 1. assign V875201 = V986702 - 1. assign V313133 = V755232 - 1. assign V286599 = V979512 + 1. assign V614395 = V792524. assign V061026 = V827580 + 1. assign V485149 = V578528 + 1. assign V410640 = V819081 - 1. assign V534772 = V941664 + 1. assign V754851 = V203529 + 1. assign V578528 = V986702. assign V539029 = V371161 - 1. assign V179904 = V755232 + 1. assign V957455 = V179904. assign V618191 = V236252 + 1. assign V979512 = V986702 + 1. assign V824813 = V132537 - 1. assign V827580 = V430460. assign V857056 = V430460. assign V371161 = V174565. assign V986379 = V594507 + 1. assign V259741 = V354570 - 1. assign V438584 = V421601. assign V924705 = V986702. assign V299640 = V404757. assign V524451 = V979512 - 1. assign V185750 = V707139. assign V541943 = V362070 + 1. assign V743245 = V408019 - 1. assign V236252 = V299640 - 1. assign V487665 = V245834 - 1. assign V771259 = V062447 + 1. assign V826991 = V292815 - 1. assign V507801 = V438584. assign V381332 = V371161 + 1. assign V123653 = V001909. assign V245384 = V575200 - 1. assign V527047 = V755232 - 1. assign V408019 = V875201 + 1. assign V169911 = V947273 - 1. assign V123645 = V819081 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V395280 = V116495. assign V182202 = V234271 + 1. assign V001271 = V819081 + 1. assign V203529 = V911224 + 1. assign V215820 = V568060 - 1. assign V860205 = V421601 + 1. assign V526881 = 0. assign V001909 = V174565 + 1. assign V087050 = V219799. assign V848994 = V132537. assign V066719 = V410640. assign V755232 = V408019 + 1. assign V168668 = V968165 - 1. assign V958883 = V132537 + 1. assign V348128 = V119704. assign V421601 = V755232 + 1. assign V819081 = V064655 + 1. assign V374695 = V455304 + 1. assign V715283 = V286599 + 1. assign V575200 = V001271. assign V675785 = V986702 - 1. assign V185092 = V031336 + 1. assign V810128 = V127566. assign V362564 = V819081 - 1. assign V701174 = V224008. assign V689362 = V941664 + 1. assign V570627 = V224008 + 1. assign V461971 = V116495 + 1. assign V234271 = V404757 - 1. assign V762582 = V185750 + 1. assign V782469 = V819081. assign V568060 = V875201 + 1. assign V394239 = V421601 - 1. assign V417942 = V857056. assign V798791 = V031336. assign V345433 = V300257 - 1. assign V137817 = V111340 - 1. assign V942123 = V031336 + 1. assign V967054 = V111340 + 1. assign V693396 = V958883 - 1. assign V222197 = V292815. assign V354570 = V860239 - 1. assign V830285 = V151530. assign V027928 = V123301 + 1. assign V883584 = V354570 + 1. assign V888021 = V031336 - 1. assign V561805 = V664023. assign V551376 = V123301 - 1. assign V947558 = V664023 - 1. assign V404757 = V979512 - 1. assign V455304 = V527047 + 1. assign V598180 = V245834 - 1. assign V879518 = V573040 - 1. assign V018991 = V947558. assign V911224 = V578528. assign V245834 = V001909 - 1. assign V180910 = V466928 - 1. assign V368154 = V047098. assign V300257 = V185092 - 1. assign V051697 = V986702 - 1. assign V151530 = V362070 + 1. assign V047098 = V203529. assign V674271 = V061986 + 1. assign V031336 = V132537 + 1. assign V130183 = V368154 - 1. assign V992219 = V417942. assign V362070 = V245834 + 1. assign V064655 = V979512 - 1. assign V768674 = V455304 - 1. assign V569278 = V986702 - 1. assign V723981 = V374695. assign V061986 = V283367 - 1. assign V805375 = V888021 - 1. assign V542404 = V167552 - 1. assign V498468 = V860239 - 1. assign V573040 = V245834. assign V041972 = V064655 + 1. assign V860239 = V245834 - 1. assign V292815 = V219799. assign V968165 = V185092. assign V219799 = V132537. assign V882435 = V664023. assign V844347 = V345433 - 1. assign V608761 = V466928 + 1. assign V167552 = V755232 - 1. assign V111340 = V524451. assign V224008 = V123301 + 1. assign V594507 = V182202. assign V871875 = V979512 + 1. assign V119704 = V755232 + 1. assign V830176 = V404757 - 1. assign V183087 = V047098 + 1. assign V593234 = V180910. assign V610881 = V674505 - 1. assign V283367 = V111340. assign V127566 = V911224. assign V290566 = V762582 - 1. assign V028976 = V871875 + 1. assign V654554 = V507801. assign V707139 = V986702 + 1. assign V095149 = V526881 - 1. assign V123301 = V986702. assign V132537 = V911224 + 1. assign V150655 = V299640 + 1. assign V116495 = V578528 + 1. assign V661533 = V824813 - 1. assign V430460 = V792524 + 1. assign V417382 = V570627 - 1. assign V953287 = V179904 + 1. assign V664023 = V568060 + 1. assign V066747 = V132537 - 1. assign V792524 = V123301 - 1. assign V466928 = V362070 + 1. assign V392688 = V534772 + 1. assign V421474 = V430460 + 1. assign V584780 = V283367 - 1. assign V062447 = V986702 + 1. assign V817432 = V594507 - 1. assign V931272 = V573040 + 1. assign V981868 = V049898 + 1. assign V956040 = V524451 - 1. assign V174565 = V956040 + 1. assign V361127 = V888021. assign V947273 = V290566. assign V473418 = V408019 + 1. assign V798789 = V618191 + 1. assign V941664 = V430460 + 1. assign V674505 = V001271 - 1. assign V049898 = V179904 + 1. assign V096819 = V618191 + 1. assign V781876 = V830176 + 1. assign V939776 = V762582 - 1. assign V875201 = V986702 - 1. assign V313133 = V755232 - 1. assign V286599 = V979512 + 1. assign V614395 = V792524. assign V061026 = V827580 + 1. assign V485149 = V578528 + 1. assign V410640 = V819081 - 1. assign V534772 = V941664 + 1. assign V754851 = V203529 + 1. assign V578528 = V986702. assign V539029 = V371161 - 1. assign V179904 = V755232 + 1. assign V957455 = V179904. assign V618191 = V236252 + 1. assign V979512 = V986702 + 1. assign V824813 = V132537 - 1. assign V827580 = V430460. assign V857056 = V430460. assign V371161 = V174565. assign V986379 = V594507 + 1. assign V259741 = V354570 - 1. assign V438584 = V421601. assign V924705 = V986702. assign V299640 = V404757. assign V524451 = V979512 - 1. assign V185750 = V707139. assign V541943 = V362070 + 1. assign V743245 = V408019 - 1. assign V236252 = V299640 - 1. assign V487665 = V245834 - 1. assign V771259 = V062447 + 1. assign V826991 = V292815 - 1. assign V507801 = V438584. assign V381332 = V371161 + 1. assign V123653 = V001909. assign V245384 = V575200 - 1. assign V527047 = V755232 - 1. assign V408019 = V875201 + 1. assign V169911 = V947273 - 1. assign V123645 = V819081 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV526881 = 0;\n\nFrom these direct assignment(s), we have: \nV095149 = V526881 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V095149;\nNo other variables can be derived from V526881;\n\nNow we have done all the calculations. Derived variables are:\nV526881 = 0;\nV095149 = -1;\n\nNow we have finished this problem. ANSWER:\nV526881\n", "role": "assistant" } ]

[ "V018614" ]

[ { "content": "<context>\nassign V283763 = V249926 + 1. assign V874642 = V558127 + 1. assign V201600 = V738770. assign V292146 = V311250 + 1. assign V536683 = V844882 - 1. assign V908157 = V958791 + 1. assign V282180 = V109753 - 1. assign V022284 = V115789 - 1. assign V117924 = V969749 - 1. assign V839454 = V596665. assign V905939 = V283763 + 1. assign V115789 = V536683. assign V587794 = V754534. assign V875894 = V119313 - 1. assign V232400 = V426694. assign V905541 = V676654 - 1. assign V993273 = V964929. assign V647853 = V861701. assign V155487 = V756125. assign V958791 = V756598 + 1. assign V315530 = V499711 - 1. assign V413033 = V580049 + 1. assign V940926 = V571087 - 1. assign V905446 = V088892. assign V791804 = V417203 - 1. assign V061401 = V117924 - 1. assign V617659 = V119313 - 1. assign V130671 = V371928. assign V897389 = V154837. assign V676654 = V182164 + 1. assign V654471 = V949350 + 1. assign V599004 = V466243 - 1. assign V899514 = V964929 - 1. assign V084533 = V426245. assign V499711 = V964929. assign V640435 = V575590 - 1. assign V330644 = V657638 - 1. assign V654547 = V124257 - 1. assign V346631 = V426245 + 1. assign V431607 = V970511 + 1. assign V981878 = V844882 + 1. assign V324221 = V145236. assign V558127 = V088892 - 1. assign V788886 = V088892 + 1. assign V018614 = 8. assign V145236 = V115789. assign V062186 = V756125 + 1. assign V802760 = V311250 - 1. assign V738770 = V022284 - 1. assign V182164 = V115789. assign V583602 = V443901 + 1. assign V040611 = V677082. assign V889729 = V846052. assign V575590 = V466243. assign V860055 = V899514 + 1. assign V861701 = V596665. assign V055205 = V617659 - 1. assign V657638 = V948045 - 1. assign V809871 = V844882 + 1. assign V003497 = V905939. assign V580049 = V574055 - 1. assign V595664 = V894631 + 1. assign V109753 = V346631 - 1. assign V054287 = V861701. assign V096097 = V337320 + 1. assign V168588 = V096802. assign V221776 = V232400 - 1. assign V426475 = V066707 - 1. assign V949234 = V754534. assign V466243 = V844882 - 1. assign V426245 = V844882. assign V747933 = V592601 + 1. assign V418940 = V115789 - 1. assign V124257 = V155487. assign V859960 = V371928 - 1. assign V867770 = V142308 + 1. assign V948045 = V283763 - 1. assign V416042 = V874642. assign V096802 = V810107 - 1. assign V754534 = V115789. assign V560362 = V496800 + 1. assign V557066 = V889729 - 1. assign V337293 = V358358 - 1. assign V471665 = V061401. assign V423606 = V249926. assign V795812 = V810107 - 1. assign V873135 = V084533 + 1. assign V297053 = V738770 - 1. assign V677082 = V584884. assign V088892 = V115789 - 1. assign V894631 = V249926 + 1. assign V119313 = V844882. assign V485820 = V583602 - 1. assign V266870 = V536683 + 1. assign V995987 = V441054 - 1. assign V441054 = V640435 + 1. assign V502366 = V088892 - 1. assign V537424 = V971740 + 1. assign V443901 = V115789. assign V496800 = V417203 + 1. assign V257774 = V426694. assign V574055 = V311250. assign V761614 = V502366 - 1. assign V575465 = V155487. assign V780463 = V426245 + 1. assign V129551 = V948045. assign V426694 = V746294 - 1. assign V121021 = V746294. assign V094572 = V584884. assign V501010 = V788886. assign V062646 = V315530. assign V965290 = V371928. assign V489140 = V738770 - 1. assign V850475 = V311250. assign V812458 = V537424. assign V367818 = V502366 + 1. assign V142308 = V819668 - 1. assign V249926 = V088892. assign V461741 = V574055. assign V596665 = V088892 + 1. assign V810107 = V754534 + 1. assign V742304 = V431607. assign V156641 = V949234 - 1. assign V746294 = V119313. assign V697619 = V809871. assign V964929 = V575590 - 1. assign V756125 = V981878 + 1. assign V019230 = V145236 + 1. assign V415466 = V964929 - 1. assign V201897 = V434597. assign V066707 = V155487 + 1. assign V358358 = V469221 + 1. assign V970511 = V742553 - 1. assign V362300 = V937598. assign V969749 = V574055. assign V846052 = V346631. assign V939683 = V537424 - 1. assign V417203 = V536683 + 1. assign V214697 = V981878. assign V227977 = V220389 + 1. assign V311250 = V746294. assign V220389 = V145236. assign V971740 = V617659. assign V049517 = V981878. assign V132843 = V426245 - 1. assign V371928 = V948045 + 1. assign V691610 = V485820 - 1. assign V584884 = V969749. assign V571087 = V574055. assign V499606 = V612927 + 1. assign V154837 = V948045 + 1. assign V974358 = V939683 - 1. assign V493229 = V677082 + 1. assign V786931 = V536683 + 1. assign V937598 = V466243. assign V756598 = V022284 - 1. assign V337320 = V850475. assign V432878 = V018614 - 1. assign V819668 = V201600 + 1. assign V803354 = V571087 + 1. assign V612927 = V571087 - 1. assign V949350 = V897389 + 1. assign V275444 = V861701 - 1. assign V156666 = V899514. assign V457027 = V124257 + 1. assign V742553 = V145236. assign V422130 = V220389 - 1. assign V469221 = V558127 + 1. assign V434597 = V156641 + 1. assign V726549 = V502366. assign V588531 = V617659 + 1. assign V592601 = V019230 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V283763 = V249926 + 1. assign V874642 = V558127 + 1. assign V201600 = V738770. assign V292146 = V311250 + 1. assign V536683 = V844882 - 1. assign V908157 = V958791 + 1. assign V282180 = V109753 - 1. assign V022284 = V115789 - 1. assign V117924 = V969749 - 1. assign V839454 = V596665. assign V905939 = V283763 + 1. assign V115789 = V536683. assign V587794 = V754534. assign V875894 = V119313 - 1. assign V232400 = V426694. assign V905541 = V676654 - 1. assign V993273 = V964929. assign V647853 = V861701. assign V155487 = V756125. assign V958791 = V756598 + 1. assign V315530 = V499711 - 1. assign V413033 = V580049 + 1. assign V940926 = V571087 - 1. assign V905446 = V088892. assign V791804 = V417203 - 1. assign V061401 = V117924 - 1. assign V617659 = V119313 - 1. assign V130671 = V371928. assign V897389 = V154837. assign V676654 = V182164 + 1. assign V654471 = V949350 + 1. assign V599004 = V466243 - 1. assign V899514 = V964929 - 1. assign V084533 = V426245. assign V499711 = V964929. assign V640435 = V575590 - 1. assign V330644 = V657638 - 1. assign V654547 = V124257 - 1. assign V346631 = V426245 + 1. assign V431607 = V970511 + 1. assign V981878 = V844882 + 1. assign V324221 = V145236. assign V558127 = V088892 - 1. assign V788886 = V088892 + 1. assign V018614 = 8. assign V145236 = V115789. assign V062186 = V756125 + 1. assign V802760 = V311250 - 1. assign V738770 = V022284 - 1. assign V182164 = V115789. assign V583602 = V443901 + 1. assign V040611 = V677082. assign V889729 = V846052. assign V575590 = V466243. assign V860055 = V899514 + 1. assign V861701 = V596665. assign V055205 = V617659 - 1. assign V657638 = V948045 - 1. assign V809871 = V844882 + 1. assign V003497 = V905939. assign V580049 = V574055 - 1. assign V595664 = V894631 + 1. assign V109753 = V346631 - 1. assign V054287 = V861701. assign V096097 = V337320 + 1. assign V168588 = V096802. assign V221776 = V232400 - 1. assign V426475 = V066707 - 1. assign V949234 = V754534. assign V466243 = V844882 - 1. assign V426245 = V844882. assign V747933 = V592601 + 1. assign V418940 = V115789 - 1. assign V124257 = V155487. assign V859960 = V371928 - 1. assign V867770 = V142308 + 1. assign V948045 = V283763 - 1. assign V416042 = V874642. assign V096802 = V810107 - 1. assign V754534 = V115789. assign V560362 = V496800 + 1. assign V557066 = V889729 - 1. assign V337293 = V358358 - 1. assign V471665 = V061401. assign V423606 = V249926. assign V795812 = V810107 - 1. assign V873135 = V084533 + 1. assign V297053 = V738770 - 1. assign V677082 = V584884. assign V088892 = V115789 - 1. assign V894631 = V249926 + 1. assign V119313 = V844882. assign V485820 = V583602 - 1. assign V266870 = V536683 + 1. assign V995987 = V441054 - 1. assign V441054 = V640435 + 1. assign V502366 = V088892 - 1. assign V537424 = V971740 + 1. assign V443901 = V115789. assign V496800 = V417203 + 1. assign V257774 = V426694. assign V574055 = V311250. assign V761614 = V502366 - 1. assign V575465 = V155487. assign V780463 = V426245 + 1. assign V129551 = V948045. assign V426694 = V746294 - 1. assign V121021 = V746294. assign V094572 = V584884. assign V501010 = V788886. assign V062646 = V315530. assign V965290 = V371928. assign V489140 = V738770 - 1. assign V850475 = V311250. assign V812458 = V537424. assign V367818 = V502366 + 1. assign V142308 = V819668 - 1. assign V249926 = V088892. assign V461741 = V574055. assign V596665 = V088892 + 1. assign V810107 = V754534 + 1. assign V742304 = V431607. assign V156641 = V949234 - 1. assign V746294 = V119313. assign V697619 = V809871. assign V964929 = V575590 - 1. assign V756125 = V981878 + 1. assign V019230 = V145236 + 1. assign V415466 = V964929 - 1. assign V201897 = V434597. assign V066707 = V155487 + 1. assign V358358 = V469221 + 1. assign V970511 = V742553 - 1. assign V362300 = V937598. assign V969749 = V574055. assign V846052 = V346631. assign V939683 = V537424 - 1. assign V417203 = V536683 + 1. assign V214697 = V981878. assign V227977 = V220389 + 1. assign V311250 = V746294. assign V220389 = V145236. assign V971740 = V617659. assign V049517 = V981878. assign V132843 = V426245 - 1. assign V371928 = V948045 + 1. assign V691610 = V485820 - 1. assign V584884 = V969749. assign V571087 = V574055. assign V499606 = V612927 + 1. assign V154837 = V948045 + 1. assign V974358 = V939683 - 1. assign V493229 = V677082 + 1. assign V786931 = V536683 + 1. assign V937598 = V466243. assign V756598 = V022284 - 1. assign V337320 = V850475. assign V432878 = V018614 - 1. assign V819668 = V201600 + 1. assign V803354 = V571087 + 1. assign V612927 = V571087 - 1. assign V949350 = V897389 + 1. assign V275444 = V861701 - 1. assign V156666 = V899514. assign V457027 = V124257 + 1. assign V742553 = V145236. assign V422130 = V220389 - 1. assign V469221 = V558127 + 1. assign V434597 = V156641 + 1. assign V726549 = V502366. assign V588531 = V617659 + 1. assign V592601 = V019230 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV018614 = 8;\n\nFrom these direct assignment(s), we have: \nV432878 = V018614 - 1 = 8 - 1 =7;\nNo other variables can be derived from V432878;\nNo other variables can be derived from V018614;\n\nNow we have done all the calculations. Derived variables are:\nV018614 = 8;\nV432878 = 7;\n\nNow we have finished this problem. ANSWER:\nV018614\n", "role": "assistant" } ]

[ "V116437", "V239304" ]

[ { "content": "<context>\nassign V388574 = V069328 - 1. assign V363070 = V921584 - 1. assign V386374 = V408575 - 1. assign V407488 = V445556 - 1. assign V913041 = V016459. assign V335421 = V683788. assign V033564 = V205933. assign V763520 = V304115. assign V007683 = V683788. assign V281350 = V069328 + 1. assign V613066 = V027608 - 1. assign V907538 = V069328. assign V378573 = V335421 - 1. assign V912491 = V110449 - 1. assign V088726 = V694696 + 1. assign V734532 = V408575. assign V875115 = V255640 + 1. assign V600874 = V288518 - 1. assign V100981 = V326516. assign V116437 = 5. assign V302438 = V432826 + 1. assign V051176 = V219282 - 1. assign V723665 = V938677. assign V110449 = V154091 - 1. assign V863334 = V288518. assign V214369 = V600874 - 1. assign V505923 = V016459 + 1. assign V851660 = V582952 - 1. assign V777647 = V205933. assign V473486 = V724998 + 1. assign V919538 = V771615 - 1. assign V605442 = V371491 - 1. assign V545310 = V938677 + 1. assign V576671 = V759782 - 1. assign V411355 = V445556 - 1. assign V571132 = V040810 + 1. assign V683788 = V156528 - 1. assign V298216 = V098560 - 1. assign V640336 = V223020 - 1. assign V016459 = V240231 - 1. assign V370225 = V926719 - 1. assign V123646 = V154091 + 1. assign V424518 = V335421 + 1. assign V400658 = V156528 - 1. assign V685358 = V400658. assign V921615 = V154091 - 1. assign V240231 = V205933. assign V605127 = V576671 + 1. assign V371491 = V281350. assign V976010 = V335421 - 1. assign V094706 = V458107. assign V910817 = V777647 + 1. assign V030622 = V875115 - 1. assign V273467 = V194529. assign V101630 = V810135 - 1. assign V255640 = V335421 + 1. assign V326516 = V921584. assign V684882 = V154759 - 1. assign V810135 = V976010 + 1. assign V291877 = V043875 + 1. assign V938677 = V238532 + 1. assign V448536 = V388574 - 1. assign V695148 = V733153 - 1. assign V525209 = V613066 - 1. assign V317477 = V123309 + 1. assign V962947 = V769210 + 1. assign V596162 = V400658 + 1. assign V458107 = V683788. assign V447879 = V497054 + 1. assign V497054 = V871218 - 1. assign V194529 = V314880. assign V831853 = V661554. assign V069328 = V335421 + 1. assign V693745 = V871218 - 1. assign V272368 = V571132. assign V988299 = V447879 + 1. assign V108843 = V868631. assign V445556 = V590786 - 1. assign V205933 = V576671. assign V506610 = V777647. assign V961480 = V400658. assign V156528 = V759782 + 1. assign V687685 = V273467 + 1. assign V724998 = V426846. assign V426846 = V371491 + 1. assign V832469 = V605127 + 1. assign V456374 = V599976 - 1. assign V733153 = V445556 - 1. assign V590786 = V156528 + 1. assign V046186 = V164814. assign V093385 = V896136 - 1. assign V257790 = V458107 + 1. assign V600567 = V613066 - 1. assign V101584 = V849580. assign V269025 = V335421. assign V154759 = V576671 + 1. assign V599976 = V400658. assign V802236 = V771615 + 1. assign V871218 = V938677. assign V304115 = V448536 - 1. assign V043875 = V257790 + 1. assign V694696 = V921584. assign V909125 = V576671 + 1. assign V926719 = V763520 + 1. assign V218243 = V909125 + 1. assign V201019 = V458107 + 1. assign V896136 = V238532. assign V239304 = V116437. assign V051520 = V726263 + 1. assign V259933 = V078401. assign V605915 = V810135 + 1. assign V661554 = V938677 - 1. assign V844479 = V545310 - 1. assign V858913 = V926719 + 1. assign V432826 = V961480. assign V088183 = V027608 + 1. assign V219282 = V274769 - 1. assign V274769 = V769210 - 1. assign V849580 = V837642. assign V403116 = V272368 + 1. assign V288518 = V661554. assign V918865 = V219282 + 1. assign V316289 = V802236. assign V040810 = V363070 + 1. assign V761571 = V273467 - 1. assign V863822 = V802236 + 1. assign V833655 = V683788. assign V408575 = V810135 + 1. assign V238532 = V156528. assign V456515 = V926719. assign V240511 = V030622 + 1. assign V824018 = V954364 + 1. assign V340544 = V734532. assign V654670 = V571132 + 1. assign V921584 = V156528. assign V771615 = V448536 - 1. assign V726263 = V448536. assign V017600 = V040810 + 1. assign V566510 = V763520. assign V538476 = V687685 + 1. assign V769210 = V576671 + 1. assign V820943 = V040810 - 1. assign V658159 = V545310 - 1. assign V617967 = V427064 + 1. assign V293519 = V424518. assign V366083 = V777647 + 1. assign V098560 = V909125. assign V304603 = V164814. assign V017706 = V571132 + 1. assign V527800 = V456515 - 1. assign V314880 = V156528 - 1. assign V320972 = V033564 - 1. assign V027608 = V820943 - 1. assign V705544 = V123309 - 1. assign V166394 = V259933 - 1. assign V582952 = V820943 - 1. assign V154091 = V194529 - 1. assign V806109 = V110449 + 1. assign V868631 = V094706 + 1. assign V427064 = V340544. assign V488705 = V040810. assign V078401 = V154759. assign V223020 = V033564 - 1. assign V954364 = V571132 + 1. assign V313260 = V921615 - 1. assign V173972 = V101584. assign V123309 = V335421 - 1. assign V987161 = V447879. assign V164814 = V378573 + 1. assign V837642 = V335421 - 1. assign V871316 = V371491 - 1. assign V111309 = V763520.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V388574 = V069328 - 1. assign V363070 = V921584 - 1. assign V386374 = V408575 - 1. assign V407488 = V445556 - 1. assign V913041 = V016459. assign V335421 = V683788. assign V033564 = V205933. assign V763520 = V304115. assign V007683 = V683788. assign V281350 = V069328 + 1. assign V613066 = V027608 - 1. assign V907538 = V069328. assign V378573 = V335421 - 1. assign V912491 = V110449 - 1. assign V088726 = V694696 + 1. assign V734532 = V408575. assign V875115 = V255640 + 1. assign V600874 = V288518 - 1. assign V100981 = V326516. assign V116437 = 5. assign V302438 = V432826 + 1. assign V051176 = V219282 - 1. assign V723665 = V938677. assign V110449 = V154091 - 1. assign V863334 = V288518. assign V214369 = V600874 - 1. assign V505923 = V016459 + 1. assign V851660 = V582952 - 1. assign V777647 = V205933. assign V473486 = V724998 + 1. assign V919538 = V771615 - 1. assign V605442 = V371491 - 1. assign V545310 = V938677 + 1. assign V576671 = V759782 - 1. assign V411355 = V445556 - 1. assign V571132 = V040810 + 1. assign V683788 = V156528 - 1. assign V298216 = V098560 - 1. assign V640336 = V223020 - 1. assign V016459 = V240231 - 1. assign V370225 = V926719 - 1. assign V123646 = V154091 + 1. assign V424518 = V335421 + 1. assign V400658 = V156528 - 1. assign V685358 = V400658. assign V921615 = V154091 - 1. assign V240231 = V205933. assign V605127 = V576671 + 1. assign V371491 = V281350. assign V976010 = V335421 - 1. assign V094706 = V458107. assign V910817 = V777647 + 1. assign V030622 = V875115 - 1. assign V273467 = V194529. assign V101630 = V810135 - 1. assign V255640 = V335421 + 1. assign V326516 = V921584. assign V684882 = V154759 - 1. assign V810135 = V976010 + 1. assign V291877 = V043875 + 1. assign V938677 = V238532 + 1. assign V448536 = V388574 - 1. assign V695148 = V733153 - 1. assign V525209 = V613066 - 1. assign V317477 = V123309 + 1. assign V962947 = V769210 + 1. assign V596162 = V400658 + 1. assign V458107 = V683788. assign V447879 = V497054 + 1. assign V497054 = V871218 - 1. assign V194529 = V314880. assign V831853 = V661554. assign V069328 = V335421 + 1. assign V693745 = V871218 - 1. assign V272368 = V571132. assign V988299 = V447879 + 1. assign V108843 = V868631. assign V445556 = V590786 - 1. assign V205933 = V576671. assign V506610 = V777647. assign V961480 = V400658. assign V156528 = V759782 + 1. assign V687685 = V273467 + 1. assign V724998 = V426846. assign V426846 = V371491 + 1. assign V832469 = V605127 + 1. assign V456374 = V599976 - 1. assign V733153 = V445556 - 1. assign V590786 = V156528 + 1. assign V046186 = V164814. assign V093385 = V896136 - 1. assign V257790 = V458107 + 1. assign V600567 = V613066 - 1. assign V101584 = V849580. assign V269025 = V335421. assign V154759 = V576671 + 1. assign V599976 = V400658. assign V802236 = V771615 + 1. assign V871218 = V938677. assign V304115 = V448536 - 1. assign V043875 = V257790 + 1. assign V694696 = V921584. assign V909125 = V576671 + 1. assign V926719 = V763520 + 1. assign V218243 = V909125 + 1. assign V201019 = V458107 + 1. assign V896136 = V238532. assign V239304 = V116437. assign V051520 = V726263 + 1. assign V259933 = V078401. assign V605915 = V810135 + 1. assign V661554 = V938677 - 1. assign V844479 = V545310 - 1. assign V858913 = V926719 + 1. assign V432826 = V961480. assign V088183 = V027608 + 1. assign V219282 = V274769 - 1. assign V274769 = V769210 - 1. assign V849580 = V837642. assign V403116 = V272368 + 1. assign V288518 = V661554. assign V918865 = V219282 + 1. assign V316289 = V802236. assign V040810 = V363070 + 1. assign V761571 = V273467 - 1. assign V863822 = V802236 + 1. assign V833655 = V683788. assign V408575 = V810135 + 1. assign V238532 = V156528. assign V456515 = V926719. assign V240511 = V030622 + 1. assign V824018 = V954364 + 1. assign V340544 = V734532. assign V654670 = V571132 + 1. assign V921584 = V156528. assign V771615 = V448536 - 1. assign V726263 = V448536. assign V017600 = V040810 + 1. assign V566510 = V763520. assign V538476 = V687685 + 1. assign V769210 = V576671 + 1. assign V820943 = V040810 - 1. assign V658159 = V545310 - 1. assign V617967 = V427064 + 1. assign V293519 = V424518. assign V366083 = V777647 + 1. assign V098560 = V909125. assign V304603 = V164814. assign V017706 = V571132 + 1. assign V527800 = V456515 - 1. assign V314880 = V156528 - 1. assign V320972 = V033564 - 1. assign V027608 = V820943 - 1. assign V705544 = V123309 - 1. assign V166394 = V259933 - 1. assign V582952 = V820943 - 1. assign V154091 = V194529 - 1. assign V806109 = V110449 + 1. assign V868631 = V094706 + 1. assign V427064 = V340544. assign V488705 = V040810. assign V078401 = V154759. assign V223020 = V033564 - 1. assign V954364 = V571132 + 1. assign V313260 = V921615 - 1. assign V173972 = V101584. assign V123309 = V335421 - 1. assign V987161 = V447879. assign V164814 = V378573 + 1. assign V837642 = V335421 - 1. assign V871316 = V371491 - 1. assign V111309 = V763520.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV116437 = 5;\n\nFrom these direct assignment(s), we have: \nV239304 = V116437 = 5;\nNo other variables can be derived from V239304;\nNo other variables can be derived from V116437;\n\nNow we have done all the calculations. Derived variables are:\nV116437 = 5;\nV239304 = 5;\n\nNow we have finished this problem. ANSWER:\nV116437, V239304\n", "role": "assistant" } ]

[ "V028793" ]

[ { "content": "<context>\nassign V357616 = V837903 - 1. assign V774329 = V883943 - 1. assign V263268 = V673573 - 1. assign V746564 = V237403 - 1. assign V096513 = V461072. assign V268653 = V283659 + 1. assign V711363 = V237403 + 1. assign V012621 = V517459 - 1. assign V209478 = V631477 - 1. assign V269831 = V397459 - 1. assign V846996 = V766888. assign V969028 = V781225 + 1. assign V699159 = V454773 + 1. assign V896301 = V204612 + 1. assign V096848 = V037715. assign V110734 = V263268 + 1. assign V130462 = V502831. assign V494370 = V685105. assign V746508 = V837903 - 1. assign V310148 = V443811 + 1. assign V444724 = V896301 + 1. assign V493022 = V747639. assign V429984 = V746564. assign V738678 = V053638 + 1. assign V180242 = V573537 + 1. assign V047352 = V028793 + 1. assign V873128 = V196189. assign V089828 = V376216 - 1. assign V486304 = V573537. assign V658428 = V494370 - 1. assign V962258 = V685105 - 1. assign V161261 = V653089. assign V677738 = V224043 + 1. assign V985919 = V443811 - 1. assign V394326 = V288723. assign V288723 = V180242. assign V385989 = V443811 - 1. assign V215448 = V694857 + 1. assign V525917 = V037715 + 1. assign V653089 = V694857 - 1. assign V270661 = V969376 - 1. assign V903569 = V853284 - 1. assign V454773 = V471532. assign V853284 = V685105. assign V797645 = V352901. assign V397459 = V685105 + 1. assign V812429 = V009762. assign V447928 = V962258 - 1. assign V060464 = V501682. assign V224043 = V954080. assign V894718 = V740122 - 1. assign V604607 = V053638 - 1. assign V196189 = V255694 + 1. assign V423052 = V283659. assign V408085 = V180242 - 1. assign V502831 = V685105. assign V895467 = V653089. assign V268770 = V615765. assign V805653 = V443811. assign V883943 = V718123. assign V702851 = V842708 + 1. assign V517459 = V853284. assign V599770 = V443811. assign V685105 = V741537 + 1. assign V570631 = V278624. assign V376216 = V484970 - 1. assign V531135 = V262084 + 1. assign V084609 = V615765 - 1. assign V488068 = V223209 + 1. assign V045550 = V685105 + 1. assign V263572 = V488068. assign V489469 = V673573. assign V922707 = V204612 + 1. assign V747639 = V385989 + 1. assign V676053 = V443811 - 1. assign V991034 = V673573 - 1. assign V226274 = V073840 + 1. assign V073840 = V740122 + 1. assign V694857 = V045550 + 1. assign V327614 = V262728 + 1. assign V256590 = V813777 - 1. assign V471532 = V766888. assign V034406 = V650365. assign V229759 = V471532 - 1. assign V028793 = 5. assign V737628 = V204612 + 1. assign V277907 = V653089 - 1. assign V283659 = V037715 - 1. assign V301281 = V494370 - 1. assign V299760 = V118866 - 1. assign V615765 = V685105 + 1. assign V196768 = V352901 - 1. assign V808554 = V352901. assign V009762 = V158216. assign V223209 = V853284 + 1. assign V080591 = V501682. assign V189404 = V237403 + 1. assign V352901 = V685105 - 1. assign V974942 = V615765. assign V037715 = V385989 + 1. assign V016218 = V089828. assign V012848 = V118866. assign V837903 = V180242. assign V973953 = V494370 + 1. assign V673573 = V797645 + 1. assign V919034 = V045550. assign V307770 = V045550 - 1. assign V189327 = V896301. assign V122570 = V950479 + 1. assign V528507 = V805653. assign V118866 = V307770 - 1. assign V623944 = V813777 + 1. assign V950479 = V974942. assign V766888 = V045550. assign V113481 = V797645 + 1. assign V262084 = V196768 - 1. assign V262383 = V685105 + 1. assign V098414 = V327614 + 1. assign V066880 = V009762. assign V255694 = V694857 + 1. assign V808576 = V110734. assign V718599 = V718123. assign V250143 = V856071 - 1. assign V645330 = V089828. assign V573537 = V903569 + 1. assign V501682 = V766888 + 1. assign V355233 = V113481. assign V631477 = V486304 + 1. assign V740122 = V696105. assign V756213 = V012848 + 1. assign V715055 = V288723 - 1. assign V630642 = V673573 - 1. assign V750569 = V842708 + 1. assign V718123 = V615765 + 1. assign V053638 = V307770 + 1. assign V843020 = V161261 - 1. assign V504972 = V288723 + 1. assign V954080 = V741537. assign V797608 = V842708 + 1. assign V837277 = V718123. assign V484970 = V255694 - 1. assign V252773 = V122570 - 1. assign V939011 = V262084 - 1. assign V696105 = V270661 - 1. assign V435982 = V263572 - 1. assign V654623 = V694857 - 1. assign V028200 = V299760. assign V262728 = V653089 + 1. assign V265317 = V494370. assign V158216 = V488068 + 1. assign V094119 = V161261. assign V443811 = V573537 - 1. assign V575873 = V270661 + 1. assign V123299 = V158216 - 1. assign V892751 = V650365. assign V781225 = V488068 + 1. assign V310554 = V969028 - 1. assign V714244 = V685105 + 1. assign V650365 = V045550 + 1. assign V278624 = V288723 + 1. assign V321706 = V161261 + 1. assign V204612 = V262728. assign V237403 = V797645. assign V856071 = V307770. assign V321129 = V189404. assign V879375 = V954080. assign V461072 = V737628. assign V741537 = V969376. assign V440216 = V741537. assign V813777 = V270661 - 1. assign V431314 = V766888 + 1. assign V842708 = V673573.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V357616 = V837903 - 1. assign V774329 = V883943 - 1. assign V263268 = V673573 - 1. assign V746564 = V237403 - 1. assign V096513 = V461072. assign V268653 = V283659 + 1. assign V711363 = V237403 + 1. assign V012621 = V517459 - 1. assign V209478 = V631477 - 1. assign V269831 = V397459 - 1. assign V846996 = V766888. assign V969028 = V781225 + 1. assign V699159 = V454773 + 1. assign V896301 = V204612 + 1. assign V096848 = V037715. assign V110734 = V263268 + 1. assign V130462 = V502831. assign V494370 = V685105. assign V746508 = V837903 - 1. assign V310148 = V443811 + 1. assign V444724 = V896301 + 1. assign V493022 = V747639. assign V429984 = V746564. assign V738678 = V053638 + 1. assign V180242 = V573537 + 1. assign V047352 = V028793 + 1. assign V873128 = V196189. assign V089828 = V376216 - 1. assign V486304 = V573537. assign V658428 = V494370 - 1. assign V962258 = V685105 - 1. assign V161261 = V653089. assign V677738 = V224043 + 1. assign V985919 = V443811 - 1. assign V394326 = V288723. assign V288723 = V180242. assign V385989 = V443811 - 1. assign V215448 = V694857 + 1. assign V525917 = V037715 + 1. assign V653089 = V694857 - 1. assign V270661 = V969376 - 1. assign V903569 = V853284 - 1. assign V454773 = V471532. assign V853284 = V685105. assign V797645 = V352901. assign V397459 = V685105 + 1. assign V812429 = V009762. assign V447928 = V962258 - 1. assign V060464 = V501682. assign V224043 = V954080. assign V894718 = V740122 - 1. assign V604607 = V053638 - 1. assign V196189 = V255694 + 1. assign V423052 = V283659. assign V408085 = V180242 - 1. assign V502831 = V685105. assign V895467 = V653089. assign V268770 = V615765. assign V805653 = V443811. assign V883943 = V718123. assign V702851 = V842708 + 1. assign V517459 = V853284. assign V599770 = V443811. assign V685105 = V741537 + 1. assign V570631 = V278624. assign V376216 = V484970 - 1. assign V531135 = V262084 + 1. assign V084609 = V615765 - 1. assign V488068 = V223209 + 1. assign V045550 = V685105 + 1. assign V263572 = V488068. assign V489469 = V673573. assign V922707 = V204612 + 1. assign V747639 = V385989 + 1. assign V676053 = V443811 - 1. assign V991034 = V673573 - 1. assign V226274 = V073840 + 1. assign V073840 = V740122 + 1. assign V694857 = V045550 + 1. assign V327614 = V262728 + 1. assign V256590 = V813777 - 1. assign V471532 = V766888. assign V034406 = V650365. assign V229759 = V471532 - 1. assign V028793 = 5. assign V737628 = V204612 + 1. assign V277907 = V653089 - 1. assign V283659 = V037715 - 1. assign V301281 = V494370 - 1. assign V299760 = V118866 - 1. assign V615765 = V685105 + 1. assign V196768 = V352901 - 1. assign V808554 = V352901. assign V009762 = V158216. assign V223209 = V853284 + 1. assign V080591 = V501682. assign V189404 = V237403 + 1. assign V352901 = V685105 - 1. assign V974942 = V615765. assign V037715 = V385989 + 1. assign V016218 = V089828. assign V012848 = V118866. assign V837903 = V180242. assign V973953 = V494370 + 1. assign V673573 = V797645 + 1. assign V919034 = V045550. assign V307770 = V045550 - 1. assign V189327 = V896301. assign V122570 = V950479 + 1. assign V528507 = V805653. assign V118866 = V307770 - 1. assign V623944 = V813777 + 1. assign V950479 = V974942. assign V766888 = V045550. assign V113481 = V797645 + 1. assign V262084 = V196768 - 1. assign V262383 = V685105 + 1. assign V098414 = V327614 + 1. assign V066880 = V009762. assign V255694 = V694857 + 1. assign V808576 = V110734. assign V718599 = V718123. assign V250143 = V856071 - 1. assign V645330 = V089828. assign V573537 = V903569 + 1. assign V501682 = V766888 + 1. assign V355233 = V113481. assign V631477 = V486304 + 1. assign V740122 = V696105. assign V756213 = V012848 + 1. assign V715055 = V288723 - 1. assign V630642 = V673573 - 1. assign V750569 = V842708 + 1. assign V718123 = V615765 + 1. assign V053638 = V307770 + 1. assign V843020 = V161261 - 1. assign V504972 = V288723 + 1. assign V954080 = V741537. assign V797608 = V842708 + 1. assign V837277 = V718123. assign V484970 = V255694 - 1. assign V252773 = V122570 - 1. assign V939011 = V262084 - 1. assign V696105 = V270661 - 1. assign V435982 = V263572 - 1. assign V654623 = V694857 - 1. assign V028200 = V299760. assign V262728 = V653089 + 1. assign V265317 = V494370. assign V158216 = V488068 + 1. assign V094119 = V161261. assign V443811 = V573537 - 1. assign V575873 = V270661 + 1. assign V123299 = V158216 - 1. assign V892751 = V650365. assign V781225 = V488068 + 1. assign V310554 = V969028 - 1. assign V714244 = V685105 + 1. assign V650365 = V045550 + 1. assign V278624 = V288723 + 1. assign V321706 = V161261 + 1. assign V204612 = V262728. assign V237403 = V797645. assign V856071 = V307770. assign V321129 = V189404. assign V879375 = V954080. assign V461072 = V737628. assign V741537 = V969376. assign V440216 = V741537. assign V813777 = V270661 - 1. assign V431314 = V766888 + 1. assign V842708 = V673573.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV028793 = 5;\n\nFrom these direct assignment(s), we have: \nV047352 = V028793 + 1 = 5 + 1 =6;\nNo other variables can be derived from V047352;\nNo other variables can be derived from V028793;\n\nNow we have done all the calculations. Derived variables are:\nV028793 = 5;\nV047352 = 6;\n\nNow we have finished this problem. ANSWER:\nV028793\n", "role": "assistant" } ]

[ "V824056", "V621437" ]

[ { "content": "<context>\nassign V627314 = V624406 + 1. assign V619609 = V881915 + 1. assign V676628 = V713117 - 1. assign V459080 = V097918 - 1. assign V425006 = V191387 + 1. assign V908535 = V053708 - 1. assign V288594 = V199943 + 1. assign V221347 = V948252 + 1. assign V048359 = V948252 + 1. assign V347688 = V453153. assign V351022 = V485964 - 1. assign V855029 = V453153. assign V272648 = V058334 - 1. assign V711935 = V169753 + 1. assign V145152 = V497777 + 1. assign V672046 = V060246 + 1. assign V299584 = V191387. assign V847997 = V627314 + 1. assign V912553 = V582596 + 1. assign V701108 = V582596 + 1. assign V590832 = V377694 + 1. assign V494386 = V952301 + 1. assign V079722 = V453153 - 1. assign V420356 = V769171 + 1. assign V467255 = V231773 - 1. assign V621437 = V824056. assign V013802 = V505781 - 1. assign V056353 = V058334. assign V977952 = V153333 - 1. assign V731759 = V327605 - 1. assign V169753 = V624406 - 1. assign V711728 = V849849 + 1. assign V031634 = V718592 - 1. assign V276453 = V952301 + 1. assign V223327 = V195057. assign V730818 = V769171. assign V076011 = V347688 - 1. assign V778986 = V071881. assign V399753 = V677090. assign V018191 = V966503 + 1. assign V505781 = V058334 + 1. assign V966503 = V467255 - 1. assign V582596 = V627314. assign V090472 = V497777 + 1. assign V709720 = V868216. assign V418648 = V169753 + 1. assign V952301 = V602079 + 1. assign V211694 = V090472 + 1. assign V693302 = V669289 + 1. assign V760361 = V685214. assign V139412 = V153333 + 1. assign V624406 = V718592. assign V974644 = V114075 + 1. assign V253218 = V276453 - 1. assign V923210 = V966503 - 1. assign V456173 = V031634 + 1. assign V687326 = V299584. assign V677090 = V060246 + 1. assign V701972 = V627314. assign V341188 = V231773 + 1. assign V545643 = V494664 - 1. assign V331770 = V718592 - 1. assign V849525 = V701108. assign V040120 = V713566 + 1. assign V734143 = V713117 + 1. assign V170960 = V952301. assign V682778 = V977952 + 1. assign V693919 = V600250. assign V660687 = V673044 - 1. assign V718592 = V453153. assign V453299 = V910193. assign V267063 = V090472 - 1. assign V516350 = V177562 - 1. assign V932678 = V693919. assign V392428 = V453153 - 1. assign V467416 = V672046 - 1. assign V177562 = V672046. assign V241449 = V682778 - 1. assign V085099 = V624984 + 1. assign V860663 = V331770 + 1. assign V948252 = V602079 + 1. assign V829115 = V222022 - 1. assign V682088 = V966503 - 1. assign V669289 = V177562. assign V265350 = V624984 + 1. assign V820183 = V685214. assign V067332 = V653026 - 1. assign V053708 = V392428. assign V222022 = V394884 - 1. assign V509246 = V673044. assign V131180 = V713566 - 1. assign V409711 = V170960 - 1. assign V641885 = V031634 - 1. assign V678987 = V364306. assign V485964 = V602079 - 1. assign V102036 = V090472. assign V071881 = V737308. assign V713566 = V060750. assign V386926 = V619359. assign V823401 = V114075 + 1. assign V417320 = V693919 - 1. assign V424239 = V977952 - 1. assign V373883 = V076011 + 1. assign V743561 = V660687. assign V342656 = V505781 - 1. assign V290090 = V718592 - 1. assign V653026 = V090472. assign V255921 = V583896 + 1. assign V141599 = V693919 + 1. assign V288379 = V266922 - 1. assign V394884 = V058334. assign V619359 = V453153. assign V097918 = V952301 - 1. assign V058334 = V114075 - 1. assign V364306 = V377694. assign V653841 = V153333 + 1. assign V685214 = V060246 - 1. assign V065847 = V054220 - 1. assign V143357 = V191387. assign V660023 = V494386 + 1. assign V153333 = V672046 + 1. assign V072391 = V624984 - 1. assign V723566 = V071881. assign V881915 = V177562. assign V109602 = V737308 - 1. assign V266922 = V582596 + 1. assign V824056 = 4. assign V256295 = V058334 - 1. assign V060246 = V497777. assign V411607 = V386926 + 1. assign V494664 = V060750. assign V279169 = V060246 + 1. assign V077054 = V509246. assign V054220 = V467255. assign V769171 = V619359 + 1. assign V849849 = V392428 + 1. assign V910193 = V114075 + 1. assign V436600 = V641885. assign V513794 = V718592. assign V583896 = V600250 - 1. assign V377694 = V977952 - 1. assign V865557 = V952301 + 1. assign V133938 = V952301 - 1. assign V231773 = V114075 - 1. assign V499260 = V974644 - 1. assign V453153 = V823401 - 1. assign V600250 = V031634. assign V263218 = V060246 + 1. assign V280341 = V494386. assign V713117 = V737308 + 1. assign V488312 = V590832 + 1. assign V497777 = V058334. assign V060750 = V467255 - 1. assign V081295 = V711728. assign V195057 = V760361 + 1. assign V199943 = V718592 + 1. assign V299540 = V031634 - 1. assign V327605 = V509246 + 1. assign V544691 = V653026. assign V800667 = V090472 - 1. assign V868216 = V509246 - 1. assign V482455 = V267063. assign V602079 = V497777 - 1. assign V624984 = V453299 + 1. assign V803000 = V191387 + 1. assign V923059 = V641885 + 1. assign V737308 = V952301 - 1. assign V191387 = V392428. assign V904767 = V058334 - 1. assign V673044 = V114075. assign V828024 = V392428 + 1. assign V958000 = V849849.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V627314 = V624406 + 1. assign V619609 = V881915 + 1. assign V676628 = V713117 - 1. assign V459080 = V097918 - 1. assign V425006 = V191387 + 1. assign V908535 = V053708 - 1. assign V288594 = V199943 + 1. assign V221347 = V948252 + 1. assign V048359 = V948252 + 1. assign V347688 = V453153. assign V351022 = V485964 - 1. assign V855029 = V453153. assign V272648 = V058334 - 1. assign V711935 = V169753 + 1. assign V145152 = V497777 + 1. assign V672046 = V060246 + 1. assign V299584 = V191387. assign V847997 = V627314 + 1. assign V912553 = V582596 + 1. assign V701108 = V582596 + 1. assign V590832 = V377694 + 1. assign V494386 = V952301 + 1. assign V079722 = V453153 - 1. assign V420356 = V769171 + 1. assign V467255 = V231773 - 1. assign V621437 = V824056. assign V013802 = V505781 - 1. assign V056353 = V058334. assign V977952 = V153333 - 1. assign V731759 = V327605 - 1. assign V169753 = V624406 - 1. assign V711728 = V849849 + 1. assign V031634 = V718592 - 1. assign V276453 = V952301 + 1. assign V223327 = V195057. assign V730818 = V769171. assign V076011 = V347688 - 1. assign V778986 = V071881. assign V399753 = V677090. assign V018191 = V966503 + 1. assign V505781 = V058334 + 1. assign V966503 = V467255 - 1. assign V582596 = V627314. assign V090472 = V497777 + 1. assign V709720 = V868216. assign V418648 = V169753 + 1. assign V952301 = V602079 + 1. assign V211694 = V090472 + 1. assign V693302 = V669289 + 1. assign V760361 = V685214. assign V139412 = V153333 + 1. assign V624406 = V718592. assign V974644 = V114075 + 1. assign V253218 = V276453 - 1. assign V923210 = V966503 - 1. assign V456173 = V031634 + 1. assign V687326 = V299584. assign V677090 = V060246 + 1. assign V701972 = V627314. assign V341188 = V231773 + 1. assign V545643 = V494664 - 1. assign V331770 = V718592 - 1. assign V849525 = V701108. assign V040120 = V713566 + 1. assign V734143 = V713117 + 1. assign V170960 = V952301. assign V682778 = V977952 + 1. assign V693919 = V600250. assign V660687 = V673044 - 1. assign V718592 = V453153. assign V453299 = V910193. assign V267063 = V090472 - 1. assign V516350 = V177562 - 1. assign V932678 = V693919. assign V392428 = V453153 - 1. assign V467416 = V672046 - 1. assign V177562 = V672046. assign V241449 = V682778 - 1. assign V085099 = V624984 + 1. assign V860663 = V331770 + 1. assign V948252 = V602079 + 1. assign V829115 = V222022 - 1. assign V682088 = V966503 - 1. assign V669289 = V177562. assign V265350 = V624984 + 1. assign V820183 = V685214. assign V067332 = V653026 - 1. assign V053708 = V392428. assign V222022 = V394884 - 1. assign V509246 = V673044. assign V131180 = V713566 - 1. assign V409711 = V170960 - 1. assign V641885 = V031634 - 1. assign V678987 = V364306. assign V485964 = V602079 - 1. assign V102036 = V090472. assign V071881 = V737308. assign V713566 = V060750. assign V386926 = V619359. assign V823401 = V114075 + 1. assign V417320 = V693919 - 1. assign V424239 = V977952 - 1. assign V373883 = V076011 + 1. assign V743561 = V660687. assign V342656 = V505781 - 1. assign V290090 = V718592 - 1. assign V653026 = V090472. assign V255921 = V583896 + 1. assign V141599 = V693919 + 1. assign V288379 = V266922 - 1. assign V394884 = V058334. assign V619359 = V453153. assign V097918 = V952301 - 1. assign V058334 = V114075 - 1. assign V364306 = V377694. assign V653841 = V153333 + 1. assign V685214 = V060246 - 1. assign V065847 = V054220 - 1. assign V143357 = V191387. assign V660023 = V494386 + 1. assign V153333 = V672046 + 1. assign V072391 = V624984 - 1. assign V723566 = V071881. assign V881915 = V177562. assign V109602 = V737308 - 1. assign V266922 = V582596 + 1. assign V824056 = 4. assign V256295 = V058334 - 1. assign V060246 = V497777. assign V411607 = V386926 + 1. assign V494664 = V060750. assign V279169 = V060246 + 1. assign V077054 = V509246. assign V054220 = V467255. assign V769171 = V619359 + 1. assign V849849 = V392428 + 1. assign V910193 = V114075 + 1. assign V436600 = V641885. assign V513794 = V718592. assign V583896 = V600250 - 1. assign V377694 = V977952 - 1. assign V865557 = V952301 + 1. assign V133938 = V952301 - 1. assign V231773 = V114075 - 1. assign V499260 = V974644 - 1. assign V453153 = V823401 - 1. assign V600250 = V031634. assign V263218 = V060246 + 1. assign V280341 = V494386. assign V713117 = V737308 + 1. assign V488312 = V590832 + 1. assign V497777 = V058334. assign V060750 = V467255 - 1. assign V081295 = V711728. assign V195057 = V760361 + 1. assign V199943 = V718592 + 1. assign V299540 = V031634 - 1. assign V327605 = V509246 + 1. assign V544691 = V653026. assign V800667 = V090472 - 1. assign V868216 = V509246 - 1. assign V482455 = V267063. assign V602079 = V497777 - 1. assign V624984 = V453299 + 1. assign V803000 = V191387 + 1. assign V923059 = V641885 + 1. assign V737308 = V952301 - 1. assign V191387 = V392428. assign V904767 = V058334 - 1. assign V673044 = V114075. assign V828024 = V392428 + 1. assign V958000 = V849849.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV824056 = 4;\n\nFrom these direct assignment(s), we have: \nV621437 = V824056 = 4;\nNo other variables can be derived from V621437;\nNo other variables can be derived from V824056;\n\nNow we have done all the calculations. Derived variables are:\nV824056 = 4;\nV621437 = 4;\n\nNow we have finished this problem. ANSWER:\nV824056, V621437\n", "role": "assistant" } ]

[ "V922837" ]

[ { "content": "<context>\nassign V256179 = V051365. assign V149718 = V570700. assign V724198 = V965935 - 1. assign V089641 = V875348 + 1. assign V480009 = V006229. assign V069844 = V889623. assign V376176 = V303699. assign V836181 = V111089. assign V566619 = V303699. assign V231284 = V111089. assign V422300 = V472554 + 1. assign V764276 = V090473 + 1. assign V080883 = V566619 + 1. assign V932021 = V157665 - 1. assign V046718 = V870905 + 1. assign V135078 = V021576 - 1. assign V944159 = V731576. assign V673920 = V909926 + 1. assign V254031 = V029243. assign V034600 = V422300. assign V748689 = V590193 - 1. assign V511394 = V310881 + 1. assign V823574 = V146576 + 1. assign V738748 = V021576. assign V301223 = V050520 - 1. assign V403856 = V590193 - 1. assign V683857 = V623685 - 1. assign V711914 = V126717 + 1. assign V932840 = V886632 + 1. assign V003104 = V207692. assign V348768 = V074580 - 1. assign V521719 = V146576. assign V832792 = V570081 + 1. assign V310881 = V870905 - 1. assign V255533 = V875348 + 1. assign V839796 = V303699. assign V448854 = V097996 + 1. assign V090473 = V559715 - 1. assign V111089 = V757638 + 1. assign V364070 = V584811 - 1. assign V497932 = V303699 - 1. assign V392681 = V126717. assign V187538 = V538665 + 1. assign V859480 = V089641. assign V965935 = V605993 - 1. assign V590193 = V623685. assign V157408 = V155174. assign V221359 = V255533 + 1. assign V232796 = V392681. assign V538665 = V926955 - 1. assign V561406 = V976475 - 1. assign V374460 = V097996 + 1. assign V279251 = V590193 + 1. assign V364299 = V632305 + 1. assign V341509 = V584811. assign V769588 = V090473. assign V904942 = V605993. assign V697355 = V157665. assign V949754 = 9. assign V395882 = V502208 + 1. assign V074580 = V731576 + 1. assign V617977 = V566619. assign V157627 = V955734 + 1. assign V424958 = V003104. assign V061588 = V021576 - 1. assign V097996 = V932840. assign V623685 = V854032. assign V407584 = V255533 - 1. assign V549001 = V240961 + 1. assign V984002 = V639250 + 1. assign V431086 = V622721 - 1. assign V151712 = V496723 - 1. assign V584811 = V618118 + 1. assign V021066 = V789693 + 1. assign V461570 = V437756. assign V496723 = V069844. assign V713555 = V526015 - 1. assign V437756 = V639250. assign V625247 = V097996. assign V472554 = V126717 + 1. assign V570700 = V984002 + 1. assign V112940 = V389253. assign V889623 = V605993. assign V054796 = V234546 - 1. assign V234546 = V623685 - 1. assign V559715 = V731576. assign V860509 = V605993 + 1. assign V870905 = V111089. assign V021576 = V731576 - 1. assign V651214 = V639250 + 1. assign V757638 = V303699 + 1. assign V554992 = V492153. assign V187104 = V255929 - 1. assign V371373 = V080883 + 1. assign V953490 = V135078 - 1. assign V274928 = V111089. assign V359434 = V566619. assign V226741 = V229042. assign V926955 = V303699 + 1. assign V267895 = V526015. assign V320700 = V376176 + 1. assign V731576 = V497932. assign V284207 = V074580. assign V710403 = V623685 - 1. assign V207692 = V926955 + 1. assign V569935 = V178947 - 1. assign V229042 = V231284 + 1. assign V286343 = V711914 + 1. assign V593281 = V769588 + 1. assign V599272 = V932021 + 1. assign V157377 = V896981. assign V667061 = V566619. assign V050520 = V006229 + 1. assign V984266 = V896713. assign V276553 = V146576 - 1. assign V227091 = V502208 - 1. assign V029243 = V955734 - 1. assign V161428 = V538665. assign V909926 = V006229. assign V591396 = V639250. assign V605993 = V538665 - 1. assign V922837 = V949754 - 1. assign V886632 = V274928 - 1. assign V146576 = V955734 - 1. assign V896713 = V710403 + 1. assign V679244 = V276553 - 1. assign V478076 = V697355. assign V073375 = V639250. assign V854032 = V187538 + 1. assign V350800 = V431086 + 1. assign V526015 = V472554 - 1. assign V213482 = V731576. assign V622721 = V274928 + 1. assign V574537 = V089641 + 1. assign V955734 = V926955. assign V789693 = V006229 + 1. assign V682751 = V054796 - 1. assign V149376 = V114122 - 1. assign V639250 = V146576 - 1. assign V618118 = V549001 + 1. assign V126717 = V029243. assign V010268 = V789693 - 1. assign V006229 = V605993 + 1. assign V812798 = V395882 - 1. assign V178947 = V161428 - 1. assign V397070 = V932021 - 1. assign V343646 = V757638 + 1. assign V502208 = V711914 - 1. assign V032187 = V944159 - 1. assign V155174 = V678280 + 1. assign V533975 = V397070. assign V632305 = V343082 + 1. assign V570081 = V157377 - 1. assign V971253 = V207692. assign V051365 = V590193. assign V976475 = V006229 + 1. assign V777842 = V860509 - 1. assign V476582 = V574537 + 1. assign V392003 = V909926 + 1. assign V896981 = V713555 - 1. assign V240961 = V146576 - 1. assign V114122 = V146576 - 1. assign V157665 = V472554 + 1. assign V343082 = V267895. assign V805785 = V748689 - 1. assign V156637 = V836181 + 1. assign V875348 = V955734 - 1. assign V492153 = V003104 + 1. assign V678280 = V955734. assign V389253 = V570700 - 1. assign V410609 = V232796 - 1. assign V255929 = V303699 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V256179 = V051365. assign V149718 = V570700. assign V724198 = V965935 - 1. assign V089641 = V875348 + 1. assign V480009 = V006229. assign V069844 = V889623. assign V376176 = V303699. assign V836181 = V111089. assign V566619 = V303699. assign V231284 = V111089. assign V422300 = V472554 + 1. assign V764276 = V090473 + 1. assign V080883 = V566619 + 1. assign V932021 = V157665 - 1. assign V046718 = V870905 + 1. assign V135078 = V021576 - 1. assign V944159 = V731576. assign V673920 = V909926 + 1. assign V254031 = V029243. assign V034600 = V422300. assign V748689 = V590193 - 1. assign V511394 = V310881 + 1. assign V823574 = V146576 + 1. assign V738748 = V021576. assign V301223 = V050520 - 1. assign V403856 = V590193 - 1. assign V683857 = V623685 - 1. assign V711914 = V126717 + 1. assign V932840 = V886632 + 1. assign V003104 = V207692. assign V348768 = V074580 - 1. assign V521719 = V146576. assign V832792 = V570081 + 1. assign V310881 = V870905 - 1. assign V255533 = V875348 + 1. assign V839796 = V303699. assign V448854 = V097996 + 1. assign V090473 = V559715 - 1. assign V111089 = V757638 + 1. assign V364070 = V584811 - 1. assign V497932 = V303699 - 1. assign V392681 = V126717. assign V187538 = V538665 + 1. assign V859480 = V089641. assign V965935 = V605993 - 1. assign V590193 = V623685. assign V157408 = V155174. assign V221359 = V255533 + 1. assign V232796 = V392681. assign V538665 = V926955 - 1. assign V561406 = V976475 - 1. assign V374460 = V097996 + 1. assign V279251 = V590193 + 1. assign V364299 = V632305 + 1. assign V341509 = V584811. assign V769588 = V090473. assign V904942 = V605993. assign V697355 = V157665. assign V949754 = 9. assign V395882 = V502208 + 1. assign V074580 = V731576 + 1. assign V617977 = V566619. assign V157627 = V955734 + 1. assign V424958 = V003104. assign V061588 = V021576 - 1. assign V097996 = V932840. assign V623685 = V854032. assign V407584 = V255533 - 1. assign V549001 = V240961 + 1. assign V984002 = V639250 + 1. assign V431086 = V622721 - 1. assign V151712 = V496723 - 1. assign V584811 = V618118 + 1. assign V021066 = V789693 + 1. assign V461570 = V437756. assign V496723 = V069844. assign V713555 = V526015 - 1. assign V437756 = V639250. assign V625247 = V097996. assign V472554 = V126717 + 1. assign V570700 = V984002 + 1. assign V112940 = V389253. assign V889623 = V605993. assign V054796 = V234546 - 1. assign V234546 = V623685 - 1. assign V559715 = V731576. assign V860509 = V605993 + 1. assign V870905 = V111089. assign V021576 = V731576 - 1. assign V651214 = V639250 + 1. assign V757638 = V303699 + 1. assign V554992 = V492153. assign V187104 = V255929 - 1. assign V371373 = V080883 + 1. assign V953490 = V135078 - 1. assign V274928 = V111089. assign V359434 = V566619. assign V226741 = V229042. assign V926955 = V303699 + 1. assign V267895 = V526015. assign V320700 = V376176 + 1. assign V731576 = V497932. assign V284207 = V074580. assign V710403 = V623685 - 1. assign V207692 = V926955 + 1. assign V569935 = V178947 - 1. assign V229042 = V231284 + 1. assign V286343 = V711914 + 1. assign V593281 = V769588 + 1. assign V599272 = V932021 + 1. assign V157377 = V896981. assign V667061 = V566619. assign V050520 = V006229 + 1. assign V984266 = V896713. assign V276553 = V146576 - 1. assign V227091 = V502208 - 1. assign V029243 = V955734 - 1. assign V161428 = V538665. assign V909926 = V006229. assign V591396 = V639250. assign V605993 = V538665 - 1. assign V922837 = V949754 - 1. assign V886632 = V274928 - 1. assign V146576 = V955734 - 1. assign V896713 = V710403 + 1. assign V679244 = V276553 - 1. assign V478076 = V697355. assign V073375 = V639250. assign V854032 = V187538 + 1. assign V350800 = V431086 + 1. assign V526015 = V472554 - 1. assign V213482 = V731576. assign V622721 = V274928 + 1. assign V574537 = V089641 + 1. assign V955734 = V926955. assign V789693 = V006229 + 1. assign V682751 = V054796 - 1. assign V149376 = V114122 - 1. assign V639250 = V146576 - 1. assign V618118 = V549001 + 1. assign V126717 = V029243. assign V010268 = V789693 - 1. assign V006229 = V605993 + 1. assign V812798 = V395882 - 1. assign V178947 = V161428 - 1. assign V397070 = V932021 - 1. assign V343646 = V757638 + 1. assign V502208 = V711914 - 1. assign V032187 = V944159 - 1. assign V155174 = V678280 + 1. assign V533975 = V397070. assign V632305 = V343082 + 1. assign V570081 = V157377 - 1. assign V971253 = V207692. assign V051365 = V590193. assign V976475 = V006229 + 1. assign V777842 = V860509 - 1. assign V476582 = V574537 + 1. assign V392003 = V909926 + 1. assign V896981 = V713555 - 1. assign V240961 = V146576 - 1. assign V114122 = V146576 - 1. assign V157665 = V472554 + 1. assign V343082 = V267895. assign V805785 = V748689 - 1. assign V156637 = V836181 + 1. assign V875348 = V955734 - 1. assign V492153 = V003104 + 1. assign V678280 = V955734. assign V389253 = V570700 - 1. assign V410609 = V232796 - 1. assign V255929 = V303699 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV949754 = 9;\n\nFrom these direct assignment(s), we have: \nV922837 = V949754 - 1 = 9 - 1 =8;\nNo other variables can be derived from V922837;\nNo other variables can be derived from V949754;\n\nNow we have done all the calculations. Derived variables are:\nV949754 = 9;\nV922837 = 8;\n\nNow we have finished this problem. ANSWER:\nV922837\n", "role": "assistant" } ]

[ "V667310" ]

[ { "content": "<context>\nassign V589489 = V928267 + 1. assign V953473 = V112144. assign V653032 = V942881. assign V538690 = V688681 + 1. assign V127970 = V705495 + 1. assign V359970 = V853838 - 1. assign V281121 = V545670 - 1. assign V547770 = V556632 + 1. assign V895176 = V849548 + 1. assign V440918 = V733201 + 1. assign V822242 = V169950 - 1. assign V576876 = V556632 - 1. assign V223556 = V595285 + 1. assign V761288 = V183545 + 1. assign V551527 = V183079 + 1. assign V943713 = V864028 + 1. assign V874943 = V815747. assign V018970 = V808205. assign V077672 = V445482. assign V540714 = V595285. assign V846116 = V953473 - 1. assign V478344 = V961039. assign V379133 = V768576 - 1. assign V667310 = 2. assign V909669 = V343202. assign V112144 = V913542 + 1. assign V445482 = V849548 + 1. assign V075471 = V518621. assign V571177 = V002081 - 1. assign V926379 = V895176 + 1. assign V517187 = V915075 + 1. assign V445848 = V112519 + 1. assign V445615 = V810194 - 1. assign V303762 = V822242 - 1. assign V176699 = V849548 + 1. assign V802869 = V623343 + 1. assign V857693 = V667310 - 1. assign V183079 = V815747 - 1. assign V595285 = V169950. assign V733201 = V745005. assign V894203 = V518621. assign V928267 = V351588 - 1. assign V837845 = V456170. assign V085749 = V603727. assign V341754 = V665668. assign V585760 = V745005 + 1. assign V534164 = V002081 - 1. assign V768089 = V822516 + 1. assign V092830 = V954670 + 1. assign V029982 = V445848 - 1. assign V747242 = V127970. assign V173868 = V815747 + 1. assign V477193 = V518621. assign V475934 = V768576 - 1. assign V084589 = V926379. assign V810194 = V894203. assign V822516 = V475934 - 1. assign V741792 = V688681 - 1. assign V225001 = V913542. assign V169950 = V821426 - 1. assign V846301 = V199693 - 1. assign V313585 = V624196. assign V887213 = V475934 - 1. assign V537384 = V545670. assign V954670 = V211289. assign V305536 = V333386. assign V343202 = V641221. assign V389368 = V913542. assign V821426 = V768576 + 1. assign V776393 = V815747 + 1. assign V350529 = V175831 - 1. assign V994270 = V556632 + 1. assign V183593 = V112144. assign V019993 = V641221. assign V175831 = V183545 + 1. assign V113885 = V482767 + 1. assign V288420 = V880848. assign V575663 = V183079 + 1. assign V830721 = V545670 - 1. assign V693984 = V894203 + 1. assign V961039 = V549930 + 1. assign V549930 = V518621. assign V164694 = V585760 + 1. assign V073982 = V808205 - 1. assign V252394 = V812355 + 1. assign V936492 = V534164. assign V849088 = V556632 + 1. assign V864028 = V821426. assign V836636 = V084589 + 1. assign V623343 = V756863 - 1. assign V183545 = V894203 - 1. assign V112519 = V175831 - 1. assign V351588 = V169950. assign V942881 = V183079 + 1. assign V827650 = V183545. assign V468869 = V913542 + 1. assign V768576 = V518621 + 1. assign V849548 = V175831 + 1. assign V816993 = V849088 - 1. assign V232045 = V928267. assign V010956 = V822242. assign V545670 = V199693 - 1. assign V525810 = V761288 + 1. assign V199693 = V112519 - 1. assign V589098 = V556632. assign V140125 = V183593 - 1. assign V629870 = V895176 + 1. assign V853838 = V297970. assign V573543 = V827650 - 1. assign V647897 = V665668. assign V665668 = V551527. assign V369207 = V475934 - 1. assign V170159 = V183079 + 1. assign V688681 = V518621 + 1. assign V752413 = V589489 + 1. assign V597152 = V370697. assign V591645 = V629870 + 1. assign V002081 = V954670 + 1. assign V603727 = V953473 - 1. assign V644344 = V112144 + 1. assign V749429 = V075471 - 1. assign V828382 = V379133 + 1. assign V756863 = V029982 - 1. assign V783053 = V994270 + 1. assign V482767 = V647897 - 1. assign V456170 = V894203. assign V474857 = V183545. assign V490395 = V895176 - 1. assign V812355 = V733201 + 1. assign V627244 = V756863. assign V163901 = V521939. assign V939048 = V802869. assign V287387 = V478344 + 1. assign V915075 = V846301 + 1. assign V931444 = V894203. assign V630504 = V827650. assign V641221 = V297970 + 1. assign V899298 = V821426 - 1. assign V480160 = V002081 - 1. assign V916008 = V084589 + 1. assign V808205 = V954670 - 1. assign V880848 = V170159 + 1. assign V705495 = V475934 - 1. assign V427911 = V928267. assign V802304 = V112144. assign V724691 = V768576 + 1. assign V293769 = V745005 + 1. assign V745005 = V768576. assign V642188 = V029982 - 1. assign V556632 = V211289 + 1. assign V211289 = V518621 + 1. assign V362498 = V113885 + 1. assign V694196 = V183545 - 1. assign V333386 = V810194 - 1. assign V581218 = V112519. assign V521939 = V821426 - 1. assign V327205 = V585760. assign V624196 = V913542. assign V815747 = V954670 - 1. assign V514409 = V761288 - 1. assign V178995 = V545670 + 1. assign V745191 = V741792 - 1. assign V152641 = V705495 + 1. assign V071734 = V557772. assign V913542 = V351588 + 1. assign V557772 = V624196. assign V752262 = V092830 - 1. assign V370697 = V899298. assign V044705 = V092830 + 1. assign V606609 = V915075 - 1. assign V297970 = V475934. assign V334422 = V183545.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V589489 = V928267 + 1. assign V953473 = V112144. assign V653032 = V942881. assign V538690 = V688681 + 1. assign V127970 = V705495 + 1. assign V359970 = V853838 - 1. assign V281121 = V545670 - 1. assign V547770 = V556632 + 1. assign V895176 = V849548 + 1. assign V440918 = V733201 + 1. assign V822242 = V169950 - 1. assign V576876 = V556632 - 1. assign V223556 = V595285 + 1. assign V761288 = V183545 + 1. assign V551527 = V183079 + 1. assign V943713 = V864028 + 1. assign V874943 = V815747. assign V018970 = V808205. assign V077672 = V445482. assign V540714 = V595285. assign V846116 = V953473 - 1. assign V478344 = V961039. assign V379133 = V768576 - 1. assign V667310 = 2. assign V909669 = V343202. assign V112144 = V913542 + 1. assign V445482 = V849548 + 1. assign V075471 = V518621. assign V571177 = V002081 - 1. assign V926379 = V895176 + 1. assign V517187 = V915075 + 1. assign V445848 = V112519 + 1. assign V445615 = V810194 - 1. assign V303762 = V822242 - 1. assign V176699 = V849548 + 1. assign V802869 = V623343 + 1. assign V857693 = V667310 - 1. assign V183079 = V815747 - 1. assign V595285 = V169950. assign V733201 = V745005. assign V894203 = V518621. assign V928267 = V351588 - 1. assign V837845 = V456170. assign V085749 = V603727. assign V341754 = V665668. assign V585760 = V745005 + 1. assign V534164 = V002081 - 1. assign V768089 = V822516 + 1. assign V092830 = V954670 + 1. assign V029982 = V445848 - 1. assign V747242 = V127970. assign V173868 = V815747 + 1. assign V477193 = V518621. assign V475934 = V768576 - 1. assign V084589 = V926379. assign V810194 = V894203. assign V822516 = V475934 - 1. assign V741792 = V688681 - 1. assign V225001 = V913542. assign V169950 = V821426 - 1. assign V846301 = V199693 - 1. assign V313585 = V624196. assign V887213 = V475934 - 1. assign V537384 = V545670. assign V954670 = V211289. assign V305536 = V333386. assign V343202 = V641221. assign V389368 = V913542. assign V821426 = V768576 + 1. assign V776393 = V815747 + 1. assign V350529 = V175831 - 1. assign V994270 = V556632 + 1. assign V183593 = V112144. assign V019993 = V641221. assign V175831 = V183545 + 1. assign V113885 = V482767 + 1. assign V288420 = V880848. assign V575663 = V183079 + 1. assign V830721 = V545670 - 1. assign V693984 = V894203 + 1. assign V961039 = V549930 + 1. assign V549930 = V518621. assign V164694 = V585760 + 1. assign V073982 = V808205 - 1. assign V252394 = V812355 + 1. assign V936492 = V534164. assign V849088 = V556632 + 1. assign V864028 = V821426. assign V836636 = V084589 + 1. assign V623343 = V756863 - 1. assign V183545 = V894203 - 1. assign V112519 = V175831 - 1. assign V351588 = V169950. assign V942881 = V183079 + 1. assign V827650 = V183545. assign V468869 = V913542 + 1. assign V768576 = V518621 + 1. assign V849548 = V175831 + 1. assign V816993 = V849088 - 1. assign V232045 = V928267. assign V010956 = V822242. assign V545670 = V199693 - 1. assign V525810 = V761288 + 1. assign V199693 = V112519 - 1. assign V589098 = V556632. assign V140125 = V183593 - 1. assign V629870 = V895176 + 1. assign V853838 = V297970. assign V573543 = V827650 - 1. assign V647897 = V665668. assign V665668 = V551527. assign V369207 = V475934 - 1. assign V170159 = V183079 + 1. assign V688681 = V518621 + 1. assign V752413 = V589489 + 1. assign V597152 = V370697. assign V591645 = V629870 + 1. assign V002081 = V954670 + 1. assign V603727 = V953473 - 1. assign V644344 = V112144 + 1. assign V749429 = V075471 - 1. assign V828382 = V379133 + 1. assign V756863 = V029982 - 1. assign V783053 = V994270 + 1. assign V482767 = V647897 - 1. assign V456170 = V894203. assign V474857 = V183545. assign V490395 = V895176 - 1. assign V812355 = V733201 + 1. assign V627244 = V756863. assign V163901 = V521939. assign V939048 = V802869. assign V287387 = V478344 + 1. assign V915075 = V846301 + 1. assign V931444 = V894203. assign V630504 = V827650. assign V641221 = V297970 + 1. assign V899298 = V821426 - 1. assign V480160 = V002081 - 1. assign V916008 = V084589 + 1. assign V808205 = V954670 - 1. assign V880848 = V170159 + 1. assign V705495 = V475934 - 1. assign V427911 = V928267. assign V802304 = V112144. assign V724691 = V768576 + 1. assign V293769 = V745005 + 1. assign V745005 = V768576. assign V642188 = V029982 - 1. assign V556632 = V211289 + 1. assign V211289 = V518621 + 1. assign V362498 = V113885 + 1. assign V694196 = V183545 - 1. assign V333386 = V810194 - 1. assign V581218 = V112519. assign V521939 = V821426 - 1. assign V327205 = V585760. assign V624196 = V913542. assign V815747 = V954670 - 1. assign V514409 = V761288 - 1. assign V178995 = V545670 + 1. assign V745191 = V741792 - 1. assign V152641 = V705495 + 1. assign V071734 = V557772. assign V913542 = V351588 + 1. assign V557772 = V624196. assign V752262 = V092830 - 1. assign V370697 = V899298. assign V044705 = V092830 + 1. assign V606609 = V915075 - 1. assign V297970 = V475934. assign V334422 = V183545.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV667310 = 2;\n\nFrom these direct assignment(s), we have: \nV857693 = V667310 - 1 = 2 - 1 =1;\nNo other variables can be derived from V857693;\nNo other variables can be derived from V667310;\n\nNow we have done all the calculations. Derived variables are:\nV667310 = 2;\nV857693 = 1;\n\nNow we have finished this problem. ANSWER:\nV667310\n", "role": "assistant" } ]

[ "V912743" ]

[ { "content": "<context>\nassign V101542 = V805877 + 1. assign V773572 = V824568 - 1. assign V300246 = V962915 - 1. assign V805877 = V452040. assign V705115 = V452040. assign V954180 = V362326 - 1. assign V583426 = V131329. assign V320030 = V955920 - 1. assign V866491 = V831781 + 1. assign V273909 = V796343. assign V065083 = V961972 + 1. assign V973158 = V665124 - 1. assign V371673 = V835814 - 1. assign V318988 = V953436 - 1. assign V037851 = V892843. assign V880222 = V139728 + 1. assign V961972 = V962915. assign V479259 = V465377 + 1. assign V883534 = V918757 + 1. assign V356156 = V392443 - 1. assign V634668 = V131922. assign V089588 = V476161 - 1. assign V454179 = V341361 - 1. assign V433788 = V973158 + 1. assign V558742 = V999823 + 1. assign V450722 = V292457 - 1. assign V422066 = V288766 - 1. assign V391923 = V962915. assign V056452 = V241965. assign V275139 = V356156. assign V918757 = V446333 - 1. assign V218731 = V626168. assign V411701 = V556205 - 1. assign V713685 = V393291. assign V876439 = V556205 - 1. assign V946686 = V962915. assign V223239 = V912743 - 1. assign V403279 = V954180. assign V672296 = V139728. assign V375381 = V672296. assign V831781 = V883534 - 1. assign V241965 = V558742 - 1. assign V865166 = V705115 - 1. assign V892843 = V665124 - 1. assign V509705 = V973158 - 1. assign V446333 = V959533. assign V637502 = V374329 + 1. assign V028369 = V577765. assign V261498 = V065083 + 1. assign V326694 = V288766 + 1. assign V000302 = V365252. assign V295044 = V085962 + 1. assign V131329 = V454179. assign V734212 = V288766 + 1. assign V420347 = V414183 + 1. assign V728755 = V787232 + 1. assign V138038 = V465377. assign V556205 = V089588 + 1. assign V471787 = V341361 + 1. assign V687638 = V538665 - 1. assign V471074 = V141197 - 1. assign V840656 = V871213 + 1. assign V832490 = V556205 - 1. assign V028873 = V393416 - 1. assign V619069 = V962915. assign V326628 = V360336 - 1. assign V519130 = V362326. assign V374329 = V341361 + 1. assign V574642 = V275139 - 1. assign V928867 = V476161 + 1. assign V146065 = V523060. assign V360336 = V569679 - 1. assign V676108 = V975230 + 1. assign V760940 = V037851. assign V746058 = V139728. assign V488536 = V101542. assign V414183 = V292457 + 1. assign V131922 = V465377. assign V393291 = V577765 - 1. assign V365252 = V796343 - 1. assign V523370 = V704283 - 1. assign V896731 = V959533. assign V820577 = V787232 - 1. assign V538665 = V805877 - 1. assign V546094 = V523370 - 1. assign V393416 = V433788 + 1. assign V335338 = V558742 - 1. assign V085962 = V517223 + 1. assign V288766 = V332744. assign V471542 = V450722 + 1. assign V924876 = V773572 - 1. assign V651357 = V962915 - 1. assign V607583 = V387446. assign V113431 = V335338 - 1. assign V824568 = V192348 + 1. assign V726105 = V523060. assign V184049 = V090079 + 1. assign V576726 = V335338. assign V139728 = V517223 - 1. assign V176798 = V422066. assign V590921 = V288766 - 1. assign V476161 = V471787 + 1. assign V523060 = V824568. assign V977541 = V607583 - 1. assign V392443 = V452040 + 1. assign V298968 = V961972. assign V914337 = V015084. assign V999823 = V959533 - 1. assign V626168 = V918757 - 1. assign V808408 = V101542. assign V796343 = V391923 + 1. assign V171105 = V365252. assign V517223 = V292457. assign V778357 = V754852. assign V835814 = V387446. assign V192348 = V961972 + 1. assign V991246 = V999823 - 1. assign V092240 = V773572 + 1. assign V332744 = V918757 + 1. assign V178585 = V245795. assign V896230 = V318988 + 1. assign V737088 = V679717 + 1. assign V090079 = V824568 - 1. assign V787232 = V896731. assign V975230 = V387446 + 1. assign V959533 = V454179 + 1. assign V994263 = V975230 - 1. assign V015084 = V292457. assign V455321 = V335338 + 1. assign V665124 = V288766 - 1. assign V466790 = V332744 - 1. assign V086921 = V446333 + 1. assign V245795 = V726105 + 1. assign V337952 = V637502. assign V159218 = V961972 - 1. assign V299787 = V679717. assign V912743 = 5. assign V098740 = V326694 + 1. assign V118733 = V365252 - 1. assign V037048 = V292457 - 1. assign V679717 = V637502. assign V547182 = V139728 - 1. assign V465377 = V892843. assign V754390 = V961972 + 1. assign V032028 = V275139. assign V833170 = V341361. assign V704283 = V999823 + 1. assign V754852 = V454179. assign V452040 = V341361 + 1. assign V352107 = V704283 - 1. assign V703832 = V991246 + 1. assign V569679 = V332744. assign V666074 = V085962. assign V860576 = V805877 - 1. assign V779090 = V728606 - 1. assign V387446 = V341361 - 1. assign V226848 = V918757 - 1. assign V955920 = V896004. assign V962915 = V341361. assign V864142 = V362326. assign V871213 = V090079. assign V896004 = V391923 + 1. assign V292457 = V341361. assign V007843 = V704283 - 1. assign V362326 = V341361 + 1. assign V943873 = V778357 + 1. assign V953436 = V787232. assign V284866 = V961972. assign V141197 = V796343. assign V383438 = V687638. assign V577765 = V131329. assign V728606 = V704283 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V101542 = V805877 + 1. assign V773572 = V824568 - 1. assign V300246 = V962915 - 1. assign V805877 = V452040. assign V705115 = V452040. assign V954180 = V362326 - 1. assign V583426 = V131329. assign V320030 = V955920 - 1. assign V866491 = V831781 + 1. assign V273909 = V796343. assign V065083 = V961972 + 1. assign V973158 = V665124 - 1. assign V371673 = V835814 - 1. assign V318988 = V953436 - 1. assign V037851 = V892843. assign V880222 = V139728 + 1. assign V961972 = V962915. assign V479259 = V465377 + 1. assign V883534 = V918757 + 1. assign V356156 = V392443 - 1. assign V634668 = V131922. assign V089588 = V476161 - 1. assign V454179 = V341361 - 1. assign V433788 = V973158 + 1. assign V558742 = V999823 + 1. assign V450722 = V292457 - 1. assign V422066 = V288766 - 1. assign V391923 = V962915. assign V056452 = V241965. assign V275139 = V356156. assign V918757 = V446333 - 1. assign V218731 = V626168. assign V411701 = V556205 - 1. assign V713685 = V393291. assign V876439 = V556205 - 1. assign V946686 = V962915. assign V223239 = V912743 - 1. assign V403279 = V954180. assign V672296 = V139728. assign V375381 = V672296. assign V831781 = V883534 - 1. assign V241965 = V558742 - 1. assign V865166 = V705115 - 1. assign V892843 = V665124 - 1. assign V509705 = V973158 - 1. assign V446333 = V959533. assign V637502 = V374329 + 1. assign V028369 = V577765. assign V261498 = V065083 + 1. assign V326694 = V288766 + 1. assign V000302 = V365252. assign V295044 = V085962 + 1. assign V131329 = V454179. assign V734212 = V288766 + 1. assign V420347 = V414183 + 1. assign V728755 = V787232 + 1. assign V138038 = V465377. assign V556205 = V089588 + 1. assign V471787 = V341361 + 1. assign V687638 = V538665 - 1. assign V471074 = V141197 - 1. assign V840656 = V871213 + 1. assign V832490 = V556205 - 1. assign V028873 = V393416 - 1. assign V619069 = V962915. assign V326628 = V360336 - 1. assign V519130 = V362326. assign V374329 = V341361 + 1. assign V574642 = V275139 - 1. assign V928867 = V476161 + 1. assign V146065 = V523060. assign V360336 = V569679 - 1. assign V676108 = V975230 + 1. assign V760940 = V037851. assign V746058 = V139728. assign V488536 = V101542. assign V414183 = V292457 + 1. assign V131922 = V465377. assign V393291 = V577765 - 1. assign V365252 = V796343 - 1. assign V523370 = V704283 - 1. assign V896731 = V959533. assign V820577 = V787232 - 1. assign V538665 = V805877 - 1. assign V546094 = V523370 - 1. assign V393416 = V433788 + 1. assign V335338 = V558742 - 1. assign V085962 = V517223 + 1. assign V288766 = V332744. assign V471542 = V450722 + 1. assign V924876 = V773572 - 1. assign V651357 = V962915 - 1. assign V607583 = V387446. assign V113431 = V335338 - 1. assign V824568 = V192348 + 1. assign V726105 = V523060. assign V184049 = V090079 + 1. assign V576726 = V335338. assign V139728 = V517223 - 1. assign V176798 = V422066. assign V590921 = V288766 - 1. assign V476161 = V471787 + 1. assign V523060 = V824568. assign V977541 = V607583 - 1. assign V392443 = V452040 + 1. assign V298968 = V961972. assign V914337 = V015084. assign V999823 = V959533 - 1. assign V626168 = V918757 - 1. assign V808408 = V101542. assign V796343 = V391923 + 1. assign V171105 = V365252. assign V517223 = V292457. assign V778357 = V754852. assign V835814 = V387446. assign V192348 = V961972 + 1. assign V991246 = V999823 - 1. assign V092240 = V773572 + 1. assign V332744 = V918757 + 1. assign V178585 = V245795. assign V896230 = V318988 + 1. assign V737088 = V679717 + 1. assign V090079 = V824568 - 1. assign V787232 = V896731. assign V975230 = V387446 + 1. assign V959533 = V454179 + 1. assign V994263 = V975230 - 1. assign V015084 = V292457. assign V455321 = V335338 + 1. assign V665124 = V288766 - 1. assign V466790 = V332744 - 1. assign V086921 = V446333 + 1. assign V245795 = V726105 + 1. assign V337952 = V637502. assign V159218 = V961972 - 1. assign V299787 = V679717. assign V912743 = 5. assign V098740 = V326694 + 1. assign V118733 = V365252 - 1. assign V037048 = V292457 - 1. assign V679717 = V637502. assign V547182 = V139728 - 1. assign V465377 = V892843. assign V754390 = V961972 + 1. assign V032028 = V275139. assign V833170 = V341361. assign V704283 = V999823 + 1. assign V754852 = V454179. assign V452040 = V341361 + 1. assign V352107 = V704283 - 1. assign V703832 = V991246 + 1. assign V569679 = V332744. assign V666074 = V085962. assign V860576 = V805877 - 1. assign V779090 = V728606 - 1. assign V387446 = V341361 - 1. assign V226848 = V918757 - 1. assign V955920 = V896004. assign V962915 = V341361. assign V864142 = V362326. assign V871213 = V090079. assign V896004 = V391923 + 1. assign V292457 = V341361. assign V007843 = V704283 - 1. assign V362326 = V341361 + 1. assign V943873 = V778357 + 1. assign V953436 = V787232. assign V284866 = V961972. assign V141197 = V796343. assign V383438 = V687638. assign V577765 = V131329. assign V728606 = V704283 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV912743 = 5;\n\nFrom these direct assignment(s), we have: \nV223239 = V912743 - 1 = 5 - 1 =4;\nNo other variables can be derived from V223239;\nNo other variables can be derived from V912743;\n\nNow we have done all the calculations. Derived variables are:\nV912743 = 5;\nV223239 = 4;\n\nNow we have finished this problem. ANSWER:\nV912743\n", "role": "assistant" } ]

[ "V417823", "V313079" ]

[ { "content": "<context>\nassign V592897 = V064419 - 1. assign V207690 = V292628 + 1. assign V720800 = V267563. assign V918872 = V279347. assign V902555 = V252556 - 1. assign V859553 = V280033 + 1. assign V582994 = V917617 - 1. assign V762756 = V917617 + 1. assign V495946 = V777573 + 1. assign V746659 = V837652 + 1. assign V303491 = V595450. assign V573173 = V376491. assign V725140 = V507677. assign V953784 = V963520 + 1. assign V965405 = V546660. assign V907793 = V277805 - 1. assign V383824 = V558272. assign V349116 = V657499 + 1. assign V159668 = V738763 + 1. assign V429150 = V451145 + 1. assign V026673 = V055350 + 1. assign V988698 = V738763 - 1. assign V898820 = V647209. assign V822569 = V694313. assign V769301 = V464809 + 1. assign V946662 = V507677 - 1. assign V647209 = V965405. assign V907524 = V841582. assign V277805 = V929097 + 1. assign V195817 = V476804 + 1. assign V595450 = V285580 - 1. assign V252556 = V657499 - 1. assign V684332 = V376491. assign V267563 = V366075 + 1. assign V419794 = V476804. assign V055350 = V332639. assign V507677 = V451145. assign V692782 = V777573. assign V088499 = V812689 + 1. assign V530369 = V790594 - 1. assign V705510 = V119615 + 1. assign V044829 = V324637 + 1. assign V073159 = V499413. assign V436028 = V374742 + 1. assign V464809 = V026673 + 1. assign V924024 = V440432. assign V065186 = V036181. assign V603719 = V725140 - 1. assign V694313 = V026673 - 1. assign V324637 = V950711 - 1. assign V280033 = V667535 - 1. assign V675753 = V646959. assign V578026 = V277805 - 1. assign V789361 = V982169. assign V025218 = V991487 + 1. assign V064419 = V026673. assign V842320 = V902555 - 1. assign V046326 = V692782 + 1. assign V546660 = V349116 - 1. assign V629952 = V646959. assign V112692 = V064419 - 1. assign V204777 = V252556 + 1. assign V542147 = V963520. assign V109522 = V362603 + 1. assign V847083 = V108527 + 1. assign V241701 = V684332 + 1. assign V291082 = V733589. assign V887394 = V254124 - 1. assign V189085 = V657499. assign V555926 = V822569 - 1. assign V128527 = V720800. assign V760718 = V451145. assign V864908 = V358767 + 1. assign V175448 = V738763. assign V738763 = V004750 + 1. assign V497475 = V292628 + 1. assign V678814 = V898820. assign V507985 = V603719 - 1. assign V646959 = V595450 + 1. assign V332639 = V451145 + 1. assign V787555 = V859553 + 1. assign V932481 = V887394 + 1. assign V180936 = V675753. assign V186854 = V332639 + 1. assign V898138 = V254124 - 1. assign V975705 = V004750 + 1. assign V086601 = V117282 - 1. assign V451145 = V285580 - 1. assign V790601 = V982169 - 1. assign V457263 = V929097 + 1. assign V558272 = V657499 - 1. assign V858950 = V349116. assign V376491 = V429150 - 1. assign V876732 = V859553 + 1. assign V115130 = V790601. assign V982169 = V558272 - 1. assign V790594 = V706073 - 1. assign V987429 = V036181 - 1. assign V119615 = V292628 + 1. assign V391554 = V668835 - 1. assign V917617 = V108527. assign V344719 = V858950. assign V206153 = V738763. assign V895425 = V383824 - 1. assign V038935 = V898138. assign V366075 = V733589. assign V381440 = V859553 - 1. assign V706073 = V036181 + 1. assign V161127 = V464809 + 1. assign V929097 = V558272. assign V963520 = V332639 + 1. assign V358767 = V859553 - 1. assign V837652 = V358767. assign V713838 = V917617 - 1. assign V362603 = V842320 + 1. assign V991487 = V499413 - 1. assign V584726 = V777573. assign V254124 = V684332 + 1. assign V103003 = V982169 + 1. assign V777573 = V108527. assign V441065 = V358767 - 1. assign V538891 = V615459. assign V213105 = V280033 - 1. assign V096753 = V206153. assign V668835 = V285580 - 1. assign V363495 = V507985 - 1. assign V108527 = V349116. assign V798516 = V055350 + 1. assign V812689 = V064419. assign V292628 = V592897 - 1. assign V957078 = V646959 - 1. assign V733589 = V144163. assign V081773 = V292628. assign V615459 = V349116 + 1. assign V279347 = V975705 + 1. assign V167967 = V950711 - 1. assign V417823 = 0. assign V033691 = V790594. assign V270391 = V667535 - 1. assign V783082 = V603719. assign V218594 = V738763. assign V499413 = V558272 - 1. assign V559236 = V004750 + 1. assign V328654 = V769301 + 1. assign V631435 = V175448 - 1. assign V449043 = V507677. assign V699329 = V783082 + 1. assign V984608 = V950711 - 1. assign V752053 = V982169 - 1. assign V374742 = V324637 + 1. assign V117282 = V975705. assign V036181 = V383824 + 1. assign V791943 = V898820 + 1. assign V905541 = V207690 + 1. assign V313079 = V417823. assign V657499 = V332639 + 1. assign V101828 = V558272 - 1. assign V820680 = V055350 - 1. assign V667535 = V064419 + 1. assign V440432 = V055350 - 1. assign V259375 = V584726 + 1. assign V841582 = V917617 + 1. assign V476804 = V451145 - 1. assign V780714 = V267563 - 1. assign V144163 = V507677 - 1. assign V426147 = V950711 + 1. assign V677594 = V841582. assign V846615 = V349116 + 1. assign V950711 = V451145. assign V777064 = V902555 - 1. assign V004750 = V760718. assign V682943 = V733589.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V592897 = V064419 - 1. assign V207690 = V292628 + 1. assign V720800 = V267563. assign V918872 = V279347. assign V902555 = V252556 - 1. assign V859553 = V280033 + 1. assign V582994 = V917617 - 1. assign V762756 = V917617 + 1. assign V495946 = V777573 + 1. assign V746659 = V837652 + 1. assign V303491 = V595450. assign V573173 = V376491. assign V725140 = V507677. assign V953784 = V963520 + 1. assign V965405 = V546660. assign V907793 = V277805 - 1. assign V383824 = V558272. assign V349116 = V657499 + 1. assign V159668 = V738763 + 1. assign V429150 = V451145 + 1. assign V026673 = V055350 + 1. assign V988698 = V738763 - 1. assign V898820 = V647209. assign V822569 = V694313. assign V769301 = V464809 + 1. assign V946662 = V507677 - 1. assign V647209 = V965405. assign V907524 = V841582. assign V277805 = V929097 + 1. assign V195817 = V476804 + 1. assign V595450 = V285580 - 1. assign V252556 = V657499 - 1. assign V684332 = V376491. assign V267563 = V366075 + 1. assign V419794 = V476804. assign V055350 = V332639. assign V507677 = V451145. assign V692782 = V777573. assign V088499 = V812689 + 1. assign V530369 = V790594 - 1. assign V705510 = V119615 + 1. assign V044829 = V324637 + 1. assign V073159 = V499413. assign V436028 = V374742 + 1. assign V464809 = V026673 + 1. assign V924024 = V440432. assign V065186 = V036181. assign V603719 = V725140 - 1. assign V694313 = V026673 - 1. assign V324637 = V950711 - 1. assign V280033 = V667535 - 1. assign V675753 = V646959. assign V578026 = V277805 - 1. assign V789361 = V982169. assign V025218 = V991487 + 1. assign V064419 = V026673. assign V842320 = V902555 - 1. assign V046326 = V692782 + 1. assign V546660 = V349116 - 1. assign V629952 = V646959. assign V112692 = V064419 - 1. assign V204777 = V252556 + 1. assign V542147 = V963520. assign V109522 = V362603 + 1. assign V847083 = V108527 + 1. assign V241701 = V684332 + 1. assign V291082 = V733589. assign V887394 = V254124 - 1. assign V189085 = V657499. assign V555926 = V822569 - 1. assign V128527 = V720800. assign V760718 = V451145. assign V864908 = V358767 + 1. assign V175448 = V738763. assign V738763 = V004750 + 1. assign V497475 = V292628 + 1. assign V678814 = V898820. assign V507985 = V603719 - 1. assign V646959 = V595450 + 1. assign V332639 = V451145 + 1. assign V787555 = V859553 + 1. assign V932481 = V887394 + 1. assign V180936 = V675753. assign V186854 = V332639 + 1. assign V898138 = V254124 - 1. assign V975705 = V004750 + 1. assign V086601 = V117282 - 1. assign V451145 = V285580 - 1. assign V790601 = V982169 - 1. assign V457263 = V929097 + 1. assign V558272 = V657499 - 1. assign V858950 = V349116. assign V376491 = V429150 - 1. assign V876732 = V859553 + 1. assign V115130 = V790601. assign V982169 = V558272 - 1. assign V790594 = V706073 - 1. assign V987429 = V036181 - 1. assign V119615 = V292628 + 1. assign V391554 = V668835 - 1. assign V917617 = V108527. assign V344719 = V858950. assign V206153 = V738763. assign V895425 = V383824 - 1. assign V038935 = V898138. assign V366075 = V733589. assign V381440 = V859553 - 1. assign V706073 = V036181 + 1. assign V161127 = V464809 + 1. assign V929097 = V558272. assign V963520 = V332639 + 1. assign V358767 = V859553 - 1. assign V837652 = V358767. assign V713838 = V917617 - 1. assign V362603 = V842320 + 1. assign V991487 = V499413 - 1. assign V584726 = V777573. assign V254124 = V684332 + 1. assign V103003 = V982169 + 1. assign V777573 = V108527. assign V441065 = V358767 - 1. assign V538891 = V615459. assign V213105 = V280033 - 1. assign V096753 = V206153. assign V668835 = V285580 - 1. assign V363495 = V507985 - 1. assign V108527 = V349116. assign V798516 = V055350 + 1. assign V812689 = V064419. assign V292628 = V592897 - 1. assign V957078 = V646959 - 1. assign V733589 = V144163. assign V081773 = V292628. assign V615459 = V349116 + 1. assign V279347 = V975705 + 1. assign V167967 = V950711 - 1. assign V417823 = 0. assign V033691 = V790594. assign V270391 = V667535 - 1. assign V783082 = V603719. assign V218594 = V738763. assign V499413 = V558272 - 1. assign V559236 = V004750 + 1. assign V328654 = V769301 + 1. assign V631435 = V175448 - 1. assign V449043 = V507677. assign V699329 = V783082 + 1. assign V984608 = V950711 - 1. assign V752053 = V982169 - 1. assign V374742 = V324637 + 1. assign V117282 = V975705. assign V036181 = V383824 + 1. assign V791943 = V898820 + 1. assign V905541 = V207690 + 1. assign V313079 = V417823. assign V657499 = V332639 + 1. assign V101828 = V558272 - 1. assign V820680 = V055350 - 1. assign V667535 = V064419 + 1. assign V440432 = V055350 - 1. assign V259375 = V584726 + 1. assign V841582 = V917617 + 1. assign V476804 = V451145 - 1. assign V780714 = V267563 - 1. assign V144163 = V507677 - 1. assign V426147 = V950711 + 1. assign V677594 = V841582. assign V846615 = V349116 + 1. assign V950711 = V451145. assign V777064 = V902555 - 1. assign V004750 = V760718. assign V682943 = V733589.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV417823 = 0;\n\nFrom these direct assignment(s), we have: \nV313079 = V417823 = 0;\nNo other variables can be derived from V313079;\nNo other variables can be derived from V417823;\n\nNow we have done all the calculations. Derived variables are:\nV417823 = 0;\nV313079 = 0;\n\nNow we have finished this problem. ANSWER:\nV417823, V313079\n", "role": "assistant" } ]

[ "V355025", "V563006" ]

[ { "content": "<context>\nassign V563462 = V994537 + 1. assign V937101 = V509649 - 1. assign V862638 = V048148 - 1. assign V793016 = V139489 + 1. assign V235263 = V678631. assign V487739 = V604080 - 1. assign V427164 = V424880 + 1. assign V012127 = V908813 + 1. assign V211401 = V117247 - 1. assign V061120 = V302286. assign V413911 = V733379 + 1. assign V489675 = V997733 + 1. assign V778691 = V737662 - 1. assign V475872 = V403806 + 1. assign V381853 = V475872. assign V746543 = V862638 + 1. assign V779318 = V117247 - 1. assign V798494 = V944709 - 1. assign V256062 = V258442 - 1. assign V242217 = V127459 + 1. assign V424609 = V695194. assign V880316 = V994537 - 1. assign V901102 = V922688 + 1. assign V613494 = V596387 - 1. assign V383920 = V467192 - 1. assign V253407 = V123654 + 1. assign V276128 = V877966 + 1. assign V023965 = V048148 + 1. assign V175850 = V922688. assign V823990 = V930692 - 1. assign V980743 = V039633 + 1. assign V789783 = V563462 + 1. assign V389541 = V012127 - 1. assign V997733 = V778691. assign V532551 = V922688. assign V858794 = V798494 + 1. assign V294968 = V779318. assign V206784 = V806766. assign V904636 = V746543. assign V509649 = V737662 + 1. assign V314593 = V678631. assign V218730 = V591988. assign V706433 = V793016. assign V190166 = V116187. assign V048148 = V235263 + 1. assign V116187 = V971392. assign V109165 = V025987 + 1. assign V418274 = V048148 - 1. assign V980574 = V381853 - 1. assign V869591 = V402230 + 1. assign V877966 = V123654 - 1. assign V971392 = V403806 + 1. assign V152707 = V824500 + 1. assign V730255 = V778691. assign V737662 = V314593. assign V686956 = V235263 - 1. assign V331555 = V475872. assign V088421 = V862638. assign V650116 = V097877. assign V781166 = V023965. assign V254921 = V163934 + 1. assign V501934 = V276128 + 1. assign V824500 = V472782 + 1. assign V806766 = V235263 - 1. assign V701949 = V163934. assign V149238 = V461629 - 1. assign V247174 = V117247. assign V952561 = V604080 + 1. assign V764833 = V088421 - 1. assign V766571 = V905077. assign V910561 = V778691 - 1. assign V638744 = V733379. assign V462354 = V152707. assign V838316 = V023965 - 1. assign V302286 = V997053 - 1. assign V997053 = V501934 + 1. assign V930692 = V678631 - 1. assign V388499 = V994537 - 1. assign V123654 = V778691. assign V604080 = V211401 + 1. assign V784402 = V555592 - 1. assign V551068 = V838316 - 1. assign V555592 = V117247 - 1. assign V355025 = 4. assign V623009 = V211401 - 1. assign V199557 = V994537 + 1. assign V683127 = V678797. assign V232254 = V604080 + 1. assign V467192 = V380860. assign V180429 = V116187 - 1. assign V452173 = V647315. assign V695194 = V678631 - 1. assign V733379 = V418274. assign V403806 = V695194 + 1. assign V979087 = V596387 + 1. assign V678631 = V677732. assign V146948 = V461629 - 1. assign V922688 = V097877 - 1. assign V826772 = V997053 + 1. assign V908813 = V746543 + 1. assign V660479 = V475872 - 1. assign V236406 = V061120 + 1. assign V472782 = V905077. assign V273737 = V997733. assign V128746 = V695194 + 1. assign V311548 = V858794. assign V563006 = V355025. assign V421161 = V740319. assign V499597 = V910561 + 1. assign V737519 = V793016 + 1. assign V064898 = V727772. assign V943821 = V823990 + 1. assign V380665 = V562370. assign V621902 = V276128. assign V785169 = V139489. assign V333382 = V746543. assign V994537 = V116187 - 1. assign V039633 = V116187 - 1. assign V713100 = V677732 - 1. assign V402230 = V695194. assign V468216 = V163934 - 1. assign V424880 = V421161 + 1. assign V410771 = V476462. assign V591988 = V677732 - 1. assign V975160 = V333382 + 1. assign V008240 = V520009 + 1. assign V905077 = V117247 - 1. assign V199761 = V740319. assign V944709 = V048148 + 1. assign V678797 = V678631. assign V075052 = V123654. assign V190697 = V034539. assign V972633 = V823990 + 1. assign V344506 = V591988 + 1. assign V752720 = V199557 + 1. assign V746473 = V678797 + 1. assign V740319 = V713100 - 1. assign V684134 = V149238 + 1. assign V356908 = V376001 + 1. assign V503879 = V461629 + 1. assign V376001 = V823990. assign V025987 = V858794 - 1. assign V087068 = V778691 + 1. assign V476462 = V163934. assign V586923 = V778691. assign V034539 = V586923 - 1. assign V308872 = V117247 + 1. assign V205191 = V461629 - 1. assign V097877 = V591988 - 1. assign V419163 = V737662 + 1. assign V139489 = V713100 - 1. assign V380860 = V766571. assign V127459 = V096014. assign V647315 = V823990 - 1. assign V117247 = V678631. assign V215375 = V023965. assign V520009 = V116187 - 1. assign V461629 = V591988. assign V391455 = V904636. assign V258442 = V586923 + 1. assign V430914 = V695194 + 1. assign V457804 = V555592 + 1. assign V163934 = V048148 - 1. assign V373267 = V109165. assign V596387 = V048148. assign V140878 = V613494. assign V392132 = V604080 - 1. assign V727772 = V294968. assign V096014 = V930692 - 1. assign V871992 = V421161 + 1. assign V899873 = V858794 + 1. assign V562370 = V273737 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V563462 = V994537 + 1. assign V937101 = V509649 - 1. assign V862638 = V048148 - 1. assign V793016 = V139489 + 1. assign V235263 = V678631. assign V487739 = V604080 - 1. assign V427164 = V424880 + 1. assign V012127 = V908813 + 1. assign V211401 = V117247 - 1. assign V061120 = V302286. assign V413911 = V733379 + 1. assign V489675 = V997733 + 1. assign V778691 = V737662 - 1. assign V475872 = V403806 + 1. assign V381853 = V475872. assign V746543 = V862638 + 1. assign V779318 = V117247 - 1. assign V798494 = V944709 - 1. assign V256062 = V258442 - 1. assign V242217 = V127459 + 1. assign V424609 = V695194. assign V880316 = V994537 - 1. assign V901102 = V922688 + 1. assign V613494 = V596387 - 1. assign V383920 = V467192 - 1. assign V253407 = V123654 + 1. assign V276128 = V877966 + 1. assign V023965 = V048148 + 1. assign V175850 = V922688. assign V823990 = V930692 - 1. assign V980743 = V039633 + 1. assign V789783 = V563462 + 1. assign V389541 = V012127 - 1. assign V997733 = V778691. assign V532551 = V922688. assign V858794 = V798494 + 1. assign V294968 = V779318. assign V206784 = V806766. assign V904636 = V746543. assign V509649 = V737662 + 1. assign V314593 = V678631. assign V218730 = V591988. assign V706433 = V793016. assign V190166 = V116187. assign V048148 = V235263 + 1. assign V116187 = V971392. assign V109165 = V025987 + 1. assign V418274 = V048148 - 1. assign V980574 = V381853 - 1. assign V869591 = V402230 + 1. assign V877966 = V123654 - 1. assign V971392 = V403806 + 1. assign V152707 = V824500 + 1. assign V730255 = V778691. assign V737662 = V314593. assign V686956 = V235263 - 1. assign V331555 = V475872. assign V088421 = V862638. assign V650116 = V097877. assign V781166 = V023965. assign V254921 = V163934 + 1. assign V501934 = V276128 + 1. assign V824500 = V472782 + 1. assign V806766 = V235263 - 1. assign V701949 = V163934. assign V149238 = V461629 - 1. assign V247174 = V117247. assign V952561 = V604080 + 1. assign V764833 = V088421 - 1. assign V766571 = V905077. assign V910561 = V778691 - 1. assign V638744 = V733379. assign V462354 = V152707. assign V838316 = V023965 - 1. assign V302286 = V997053 - 1. assign V997053 = V501934 + 1. assign V930692 = V678631 - 1. assign V388499 = V994537 - 1. assign V123654 = V778691. assign V604080 = V211401 + 1. assign V784402 = V555592 - 1. assign V551068 = V838316 - 1. assign V555592 = V117247 - 1. assign V355025 = 4. assign V623009 = V211401 - 1. assign V199557 = V994537 + 1. assign V683127 = V678797. assign V232254 = V604080 + 1. assign V467192 = V380860. assign V180429 = V116187 - 1. assign V452173 = V647315. assign V695194 = V678631 - 1. assign V733379 = V418274. assign V403806 = V695194 + 1. assign V979087 = V596387 + 1. assign V678631 = V677732. assign V146948 = V461629 - 1. assign V922688 = V097877 - 1. assign V826772 = V997053 + 1. assign V908813 = V746543 + 1. assign V660479 = V475872 - 1. assign V236406 = V061120 + 1. assign V472782 = V905077. assign V273737 = V997733. assign V128746 = V695194 + 1. assign V311548 = V858794. assign V563006 = V355025. assign V421161 = V740319. assign V499597 = V910561 + 1. assign V737519 = V793016 + 1. assign V064898 = V727772. assign V943821 = V823990 + 1. assign V380665 = V562370. assign V621902 = V276128. assign V785169 = V139489. assign V333382 = V746543. assign V994537 = V116187 - 1. assign V039633 = V116187 - 1. assign V713100 = V677732 - 1. assign V402230 = V695194. assign V468216 = V163934 - 1. assign V424880 = V421161 + 1. assign V410771 = V476462. assign V591988 = V677732 - 1. assign V975160 = V333382 + 1. assign V008240 = V520009 + 1. assign V905077 = V117247 - 1. assign V199761 = V740319. assign V944709 = V048148 + 1. assign V678797 = V678631. assign V075052 = V123654. assign V190697 = V034539. assign V972633 = V823990 + 1. assign V344506 = V591988 + 1. assign V752720 = V199557 + 1. assign V746473 = V678797 + 1. assign V740319 = V713100 - 1. assign V684134 = V149238 + 1. assign V356908 = V376001 + 1. assign V503879 = V461629 + 1. assign V376001 = V823990. assign V025987 = V858794 - 1. assign V087068 = V778691 + 1. assign V476462 = V163934. assign V586923 = V778691. assign V034539 = V586923 - 1. assign V308872 = V117247 + 1. assign V205191 = V461629 - 1. assign V097877 = V591988 - 1. assign V419163 = V737662 + 1. assign V139489 = V713100 - 1. assign V380860 = V766571. assign V127459 = V096014. assign V647315 = V823990 - 1. assign V117247 = V678631. assign V215375 = V023965. assign V520009 = V116187 - 1. assign V461629 = V591988. assign V391455 = V904636. assign V258442 = V586923 + 1. assign V430914 = V695194 + 1. assign V457804 = V555592 + 1. assign V163934 = V048148 - 1. assign V373267 = V109165. assign V596387 = V048148. assign V140878 = V613494. assign V392132 = V604080 - 1. assign V727772 = V294968. assign V096014 = V930692 - 1. assign V871992 = V421161 + 1. assign V899873 = V858794 + 1. assign V562370 = V273737 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV355025 = 4;\n\nFrom these direct assignment(s), we have: \nV563006 = V355025 = 4;\nNo other variables can be derived from V563006;\nNo other variables can be derived from V355025;\n\nNow we have done all the calculations. Derived variables are:\nV355025 = 4;\nV563006 = 4;\n\nNow we have finished this problem. ANSWER:\nV355025, V563006\n", "role": "assistant" } ]

[ "V597125" ]

[ { "content": "<context>\nassign V200012 = V529382 + 1. assign V646560 = V870496. assign V246163 = V496090 + 1. assign V407380 = V815387. assign V116922 = V152699 + 1. assign V525583 = V048114 + 1. assign V758400 = V784077 - 1. assign V709416 = V706922 + 1. assign V443366 = V870496 + 1. assign V584107 = V994842 - 1. assign V934405 = V188083 + 1. assign V002157 = V200012 + 1. assign V585490 = V436892. assign V645357 = V503317 + 1. assign V111401 = V815387. assign V494023 = V893959 + 1. assign V804852 = V870496. assign V690914 = V752572 + 1. assign V994842 = V811588 + 1. assign V876851 = V267389 + 1. assign V567362 = V551273 + 1. assign V840957 = V492896. assign V018418 = V365486 - 1. assign V386953 = V876851 + 1. assign V171681 = V752572 - 1. assign V063059 = V152699 - 1. assign V551273 = V488805. assign V638498 = V584107 - 1. assign V864901 = V511118 + 1. assign V955905 = V576966 + 1. assign V421192 = V267389 - 1. assign V393358 = V892347. assign V394110 = V421192 - 1. assign V800730 = V550847 + 1. assign V542713 = V365486. assign V597452 = V870496 - 1. assign V854617 = V784077 + 1. assign V805056 = V639994. assign V706922 = V048114 - 1. assign V974594 = V597125 + 1. assign V495611 = V386953. assign V529382 = V866395. assign V739778 = V951067. assign V121011 = V277174 - 1. assign V402631 = V604137 + 1. assign V114225 = V018418 - 1. assign V173232 = V529382. assign V131668 = V206487. assign V676469 = V114225 + 1. assign V190755 = V511118 - 1. assign V188083 = V910883 - 1. assign V426708 = V576966 + 1. assign V545282 = V550847. assign V299163 = V368880. assign V206487 = V597452 - 1. assign V520471 = V736896 - 1. assign V052998 = V941376 + 1. assign V892347 = V455715. assign V557114 = V545282. assign V488805 = V941376 - 1. assign V266498 = V131911 + 1. assign V022302 = V511118. assign V736896 = V854617 - 1. assign V678160 = V407380 - 1. assign V576966 = V951067. assign V267523 = V967140 - 1. assign V038271 = V576966. assign V051324 = V266498. assign V267389 = V951067. assign V668243 = V994842. assign V995344 = V910883 + 1. assign V967140 = V994842 + 1. assign V564277 = V856834 + 1. assign V676400 = V215930. assign V513947 = V513271 + 1. assign V667329 = V267389. assign V911250 = V239013 - 1. assign V866395 = V365486 + 1. assign V496090 = V951067 + 1. assign V951782 = V951067 + 1. assign V115485 = V854617. assign V982585 = V736896 + 1. assign V549931 = V847333. assign V094536 = V646560 - 1. assign V784077 = V365486 + 1. assign V275685 = V421192. assign V379903 = V951782. assign V867445 = V847333. assign V748648 = V293245. assign V635071 = V604137 + 1. assign V152699 = V761970 + 1. assign V239013 = V866395 - 1. assign V139301 = V752572 - 1. assign V989556 = V115485. assign V258721 = V811588. assign V620214 = V432630 - 1. assign V277174 = V267389 + 1. assign V215930 = V550847. assign V528395 = V784077 - 1. assign V870496 = V752572 - 1. assign V093428 = V421192. assign V455715 = V432630. assign V131216 = V856834. assign V317600 = V266498 + 1. assign V428997 = V718637 + 1. assign V504563 = V513271 - 1. assign V528641 = V748648. assign V995518 = V048114 + 1. assign V048114 = V550847 + 1. assign V368880 = V545282 - 1. assign V041909 = V550847 + 1. assign V441403 = V995943. assign V597125 = 7. assign V077754 = V018418 + 1. assign V513271 = V421192 + 1. assign V927077 = V864901. assign V655355 = V168318 + 1. assign V912740 = V995518 - 1. assign V980216 = V215930 + 1. assign V458370 = V752572 + 1. assign V856834 = V432630 + 1. assign V951067 = V994842 - 1. assign V208725 = V455715 + 1. assign V698190 = V038271 - 1. assign V639994 = V114225. assign V496374 = V678160. assign V142975 = V267389 - 1. assign V910883 = V736896. assign V293245 = V941376. assign V650700 = V488805. assign V218111 = V495611. assign V761970 = V267389 + 1. assign V445450 = V225004 + 1. assign V511118 = V876851. assign V702522 = V436892. assign V782309 = V239013 - 1. assign V131911 = V525583 + 1. assign V029773 = V854617 - 1. assign V432630 = V752572 - 1. assign V718637 = V761970. assign V752572 = V994842 - 1. assign V492896 = V267523 + 1. assign V847333 = V702522. assign V815387 = V584107 - 1. assign V505315 = V529382 - 1. assign V365486 = V951067. assign V720860 = V496374 - 1. assign V374888 = V876851. assign V156227 = V646560 + 1. assign V503317 = V989556 - 1. assign V701175 = V111401 + 1. assign V176712 = V576966 - 1. assign V550847 = V811588 - 1. assign V916658 = V676469. assign V225004 = V890099 + 1. assign V893959 = V171681 + 1. assign V961181 = V432630 + 1. assign V466821 = V866395. assign V916581 = V941376 - 1. assign V168318 = V951067. assign V812896 = V638498 + 1. assign V335397 = V277174 - 1. assign V941376 = V038271. assign V304060 = V038271 + 1. assign V315635 = V840957 + 1. assign V968522 = V052998 - 1. assign V896870 = V545282. assign V995943 = V529382 - 1. assign V436892 = V550847 + 1. assign V454064 = V208725 - 1. assign V604137 = V051324 - 1. assign V890099 = V893959.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V200012 = V529382 + 1. assign V646560 = V870496. assign V246163 = V496090 + 1. assign V407380 = V815387. assign V116922 = V152699 + 1. assign V525583 = V048114 + 1. assign V758400 = V784077 - 1. assign V709416 = V706922 + 1. assign V443366 = V870496 + 1. assign V584107 = V994842 - 1. assign V934405 = V188083 + 1. assign V002157 = V200012 + 1. assign V585490 = V436892. assign V645357 = V503317 + 1. assign V111401 = V815387. assign V494023 = V893959 + 1. assign V804852 = V870496. assign V690914 = V752572 + 1. assign V994842 = V811588 + 1. assign V876851 = V267389 + 1. assign V567362 = V551273 + 1. assign V840957 = V492896. assign V018418 = V365486 - 1. assign V386953 = V876851 + 1. assign V171681 = V752572 - 1. assign V063059 = V152699 - 1. assign V551273 = V488805. assign V638498 = V584107 - 1. assign V864901 = V511118 + 1. assign V955905 = V576966 + 1. assign V421192 = V267389 - 1. assign V393358 = V892347. assign V394110 = V421192 - 1. assign V800730 = V550847 + 1. assign V542713 = V365486. assign V597452 = V870496 - 1. assign V854617 = V784077 + 1. assign V805056 = V639994. assign V706922 = V048114 - 1. assign V974594 = V597125 + 1. assign V495611 = V386953. assign V529382 = V866395. assign V739778 = V951067. assign V121011 = V277174 - 1. assign V402631 = V604137 + 1. assign V114225 = V018418 - 1. assign V173232 = V529382. assign V131668 = V206487. assign V676469 = V114225 + 1. assign V190755 = V511118 - 1. assign V188083 = V910883 - 1. assign V426708 = V576966 + 1. assign V545282 = V550847. assign V299163 = V368880. assign V206487 = V597452 - 1. assign V520471 = V736896 - 1. assign V052998 = V941376 + 1. assign V892347 = V455715. assign V557114 = V545282. assign V488805 = V941376 - 1. assign V266498 = V131911 + 1. assign V022302 = V511118. assign V736896 = V854617 - 1. assign V678160 = V407380 - 1. assign V576966 = V951067. assign V267523 = V967140 - 1. assign V038271 = V576966. assign V051324 = V266498. assign V267389 = V951067. assign V668243 = V994842. assign V995344 = V910883 + 1. assign V967140 = V994842 + 1. assign V564277 = V856834 + 1. assign V676400 = V215930. assign V513947 = V513271 + 1. assign V667329 = V267389. assign V911250 = V239013 - 1. assign V866395 = V365486 + 1. assign V496090 = V951067 + 1. assign V951782 = V951067 + 1. assign V115485 = V854617. assign V982585 = V736896 + 1. assign V549931 = V847333. assign V094536 = V646560 - 1. assign V784077 = V365486 + 1. assign V275685 = V421192. assign V379903 = V951782. assign V867445 = V847333. assign V748648 = V293245. assign V635071 = V604137 + 1. assign V152699 = V761970 + 1. assign V239013 = V866395 - 1. assign V139301 = V752572 - 1. assign V989556 = V115485. assign V258721 = V811588. assign V620214 = V432630 - 1. assign V277174 = V267389 + 1. assign V215930 = V550847. assign V528395 = V784077 - 1. assign V870496 = V752572 - 1. assign V093428 = V421192. assign V455715 = V432630. assign V131216 = V856834. assign V317600 = V266498 + 1. assign V428997 = V718637 + 1. assign V504563 = V513271 - 1. assign V528641 = V748648. assign V995518 = V048114 + 1. assign V048114 = V550847 + 1. assign V368880 = V545282 - 1. assign V041909 = V550847 + 1. assign V441403 = V995943. assign V597125 = 7. assign V077754 = V018418 + 1. assign V513271 = V421192 + 1. assign V927077 = V864901. assign V655355 = V168318 + 1. assign V912740 = V995518 - 1. assign V980216 = V215930 + 1. assign V458370 = V752572 + 1. assign V856834 = V432630 + 1. assign V951067 = V994842 - 1. assign V208725 = V455715 + 1. assign V698190 = V038271 - 1. assign V639994 = V114225. assign V496374 = V678160. assign V142975 = V267389 - 1. assign V910883 = V736896. assign V293245 = V941376. assign V650700 = V488805. assign V218111 = V495611. assign V761970 = V267389 + 1. assign V445450 = V225004 + 1. assign V511118 = V876851. assign V702522 = V436892. assign V782309 = V239013 - 1. assign V131911 = V525583 + 1. assign V029773 = V854617 - 1. assign V432630 = V752572 - 1. assign V718637 = V761970. assign V752572 = V994842 - 1. assign V492896 = V267523 + 1. assign V847333 = V702522. assign V815387 = V584107 - 1. assign V505315 = V529382 - 1. assign V365486 = V951067. assign V720860 = V496374 - 1. assign V374888 = V876851. assign V156227 = V646560 + 1. assign V503317 = V989556 - 1. assign V701175 = V111401 + 1. assign V176712 = V576966 - 1. assign V550847 = V811588 - 1. assign V916658 = V676469. assign V225004 = V890099 + 1. assign V893959 = V171681 + 1. assign V961181 = V432630 + 1. assign V466821 = V866395. assign V916581 = V941376 - 1. assign V168318 = V951067. assign V812896 = V638498 + 1. assign V335397 = V277174 - 1. assign V941376 = V038271. assign V304060 = V038271 + 1. assign V315635 = V840957 + 1. assign V968522 = V052998 - 1. assign V896870 = V545282. assign V995943 = V529382 - 1. assign V436892 = V550847 + 1. assign V454064 = V208725 - 1. assign V604137 = V051324 - 1. assign V890099 = V893959.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV597125 = 7;\n\nFrom these direct assignment(s), we have: \nV974594 = V597125 + 1 = 7 + 1 =8;\nNo other variables can be derived from V974594;\nNo other variables can be derived from V597125;\n\nNow we have done all the calculations. Derived variables are:\nV597125 = 7;\nV974594 = 8;\n\nNow we have finished this problem. ANSWER:\nV597125\n", "role": "assistant" } ]

[ "V242622", "V285709" ]

[ { "content": "<context>\nassign V312052 = V844160 - 1. assign V086380 = V384698 - 1. assign V035955 = V086380 + 1. assign V926292 = V451559 - 1. assign V947203 = V742797. assign V880926 = V681611 + 1. assign V943871 = V914907. assign V622096 = V822510. assign V542632 = V263932 + 1. assign V362987 = V374958 - 1. assign V032779 = V547548 - 1. assign V864526 = V815083. assign V188766 = V802295. assign V990917 = V864526. assign V763522 = V384698 - 1. assign V286448 = V757059 - 1. assign V186247 = V903971 + 1. assign V362177 = V714016 + 1. assign V279759 = V932111. assign V685338 = V641391 + 1. assign V387227 = V700182 - 1. assign V512077 = V335451 - 1. assign V827463 = V571161 - 1. assign V879469 = V757059 - 1. assign V038834 = V675901 + 1. assign V500876 = V167175 - 1. assign V746800 = V335451. assign V993011 = V258494 + 1. assign V886510 = V175221 + 1. assign V711974 = V454010 + 1. assign V788732 = V585671 + 1. assign V621038 = V230469. assign V830300 = V930401. assign V646959 = V512077. assign V447287 = V189139 + 1. assign V657325 = V685338 - 1. assign V971228 = V085250 + 1. assign V700182 = V763522 + 1. assign V070507 = V877960 + 1. assign V196151 = V174388 + 1. assign V993216 = V400367 + 1. assign V233945 = V930401 - 1. assign V681611 = V330196. assign V132678 = V374958 + 1. assign V156444 = V169028 - 1. assign V330196 = V086822 + 1. assign V820393 = V895148 + 1. assign V108166 = V362177. assign V900621 = V384698 - 1. assign V434319 = V086380 + 1. assign V914907 = V746800 - 1. assign V064063 = V503904. assign V041121 = V763522. assign V263932 = V900621 + 1. assign V461044 = V447287. assign V824958 = V335451 - 1. assign V199599 = V128168 - 1. assign V529481 = V824958 + 1. assign V902625 = V203175 - 1. assign V886358 = V763522. assign V989791 = V530732 + 1. assign V895326 = V335451 - 1. assign V756214 = V339472 + 1. assign V877960 = V512077 - 1. assign V327376 = V711974 - 1. assign V169028 = V512077 - 1. assign V128168 = V210286. assign V004090 = V134825. assign V327802 = V174388. assign V174945 = V210286 + 1. assign V571161 = V335451 + 1. assign V085250 = V083476. assign V242622 = 3. assign V338887 = V447287 + 1. assign V503904 = V429282 - 1. assign V291136 = V199599 - 1. assign V255772 = V175221 - 1. assign V990714 = V746800 - 1. assign V384698 = V503904. assign V114647 = V675901 + 1. assign V899269 = V880926 + 1. assign V031863 = V833051 + 1. assign V203175 = V330196 - 1. assign V683958 = V840964 + 1. assign V026490 = V086380. assign V633134 = V681611. assign V738382 = V128168. assign V530732 = V454010 - 1. assign V742797 = V815083 - 1. assign V840964 = V335451 - 1. assign V555823 = V186247. assign V285709 = V242622. assign V076942 = V086380 - 1. assign V520461 = V196151. assign V258494 = V530732. assign V231265 = V103616 + 1. assign V714016 = V338887 + 1. assign V360110 = V384698. assign V896936 = V757059 + 1. assign V511411 = V530732 + 1. assign V374958 = V641391 + 1. assign V833051 = V210286 + 1. assign V230469 = V935239 - 1. assign V930401 = V284929 + 1. assign V284929 = V064063. assign V903971 = V993216 + 1. assign V815083 = V429282. assign V893974 = V895148 - 1. assign V822510 = V128168 + 1. assign V886206 = V993216 - 1. assign V585671 = V429282. assign V592641 = V647770 + 1. assign V258793 = V362177 + 1. assign V547548 = V169028 + 1. assign V757059 = V763522 - 1. assign V739408 = V512077 + 1. assign V932111 = V454010 - 1. assign V472818 = V746800 + 1. assign V210286 = V900621. assign V583420 = V757059 + 1. assign V010158 = V284929 + 1. assign V014667 = V742797 - 1. assign V471580 = V330196. assign V647770 = V827463. assign V412309 = V205280 + 1. assign V189139 = V503904 + 1. assign V895148 = V621038. assign V675901 = V844160 + 1. assign V764019 = V128168 + 1. assign V886098 = V512077 - 1. assign V372962 = V512077. assign V888113 = V339472 - 1. assign V368090 = V830300 - 1. assign V844160 = V447287 + 1. assign V377782 = V263932 + 1. assign V575985 = V090622 + 1. assign V271869 = V641391 + 1. assign V835128 = V900621. assign V210630 = V742797. assign V473562 = V372962 + 1. assign V175221 = V900621 + 1. assign V490135 = V174945 + 1. assign V083476 = V335451 - 1. assign V668144 = V657325 - 1. assign V775850 = V711974. assign V944202 = V886206 + 1. assign V641391 = V472818 - 1. assign V205280 = V685338. assign V256271 = V840964 - 1. assign V935239 = V822510. assign V985939 = V877960. assign V086822 = V675901 + 1. assign V167175 = V864526. assign V115714 = V103616 + 1. assign V134825 = V746800 - 1. assign V571649 = V893974 - 1. assign V032355 = V914907. assign V335451 = V429282 + 1. assign V670363 = V900621 - 1. assign V339472 = V989791 - 1. assign V802295 = V900621 + 1. assign V103616 = V258793. assign V454010 = V169028. assign V460205 = V203175 + 1. assign V400367 = V384698 - 1. assign V625717 = V746800. assign V267435 = V930401 - 1. assign V090622 = V990917 + 1. assign V174388 = V189139. assign V731957 = V815083 + 1. assign V451559 = V132678 + 1. assign V594994 = V188766 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V312052 = V844160 - 1. assign V086380 = V384698 - 1. assign V035955 = V086380 + 1. assign V926292 = V451559 - 1. assign V947203 = V742797. assign V880926 = V681611 + 1. assign V943871 = V914907. assign V622096 = V822510. assign V542632 = V263932 + 1. assign V362987 = V374958 - 1. assign V032779 = V547548 - 1. assign V864526 = V815083. assign V188766 = V802295. assign V990917 = V864526. assign V763522 = V384698 - 1. assign V286448 = V757059 - 1. assign V186247 = V903971 + 1. assign V362177 = V714016 + 1. assign V279759 = V932111. assign V685338 = V641391 + 1. assign V387227 = V700182 - 1. assign V512077 = V335451 - 1. assign V827463 = V571161 - 1. assign V879469 = V757059 - 1. assign V038834 = V675901 + 1. assign V500876 = V167175 - 1. assign V746800 = V335451. assign V993011 = V258494 + 1. assign V886510 = V175221 + 1. assign V711974 = V454010 + 1. assign V788732 = V585671 + 1. assign V621038 = V230469. assign V830300 = V930401. assign V646959 = V512077. assign V447287 = V189139 + 1. assign V657325 = V685338 - 1. assign V971228 = V085250 + 1. assign V700182 = V763522 + 1. assign V070507 = V877960 + 1. assign V196151 = V174388 + 1. assign V993216 = V400367 + 1. assign V233945 = V930401 - 1. assign V681611 = V330196. assign V132678 = V374958 + 1. assign V156444 = V169028 - 1. assign V330196 = V086822 + 1. assign V820393 = V895148 + 1. assign V108166 = V362177. assign V900621 = V384698 - 1. assign V434319 = V086380 + 1. assign V914907 = V746800 - 1. assign V064063 = V503904. assign V041121 = V763522. assign V263932 = V900621 + 1. assign V461044 = V447287. assign V824958 = V335451 - 1. assign V199599 = V128168 - 1. assign V529481 = V824958 + 1. assign V902625 = V203175 - 1. assign V886358 = V763522. assign V989791 = V530732 + 1. assign V895326 = V335451 - 1. assign V756214 = V339472 + 1. assign V877960 = V512077 - 1. assign V327376 = V711974 - 1. assign V169028 = V512077 - 1. assign V128168 = V210286. assign V004090 = V134825. assign V327802 = V174388. assign V174945 = V210286 + 1. assign V571161 = V335451 + 1. assign V085250 = V083476. assign V242622 = 3. assign V338887 = V447287 + 1. assign V503904 = V429282 - 1. assign V291136 = V199599 - 1. assign V255772 = V175221 - 1. assign V990714 = V746800 - 1. assign V384698 = V503904. assign V114647 = V675901 + 1. assign V899269 = V880926 + 1. assign V031863 = V833051 + 1. assign V203175 = V330196 - 1. assign V683958 = V840964 + 1. assign V026490 = V086380. assign V633134 = V681611. assign V738382 = V128168. assign V530732 = V454010 - 1. assign V742797 = V815083 - 1. assign V840964 = V335451 - 1. assign V555823 = V186247. assign V285709 = V242622. assign V076942 = V086380 - 1. assign V520461 = V196151. assign V258494 = V530732. assign V231265 = V103616 + 1. assign V714016 = V338887 + 1. assign V360110 = V384698. assign V896936 = V757059 + 1. assign V511411 = V530732 + 1. assign V374958 = V641391 + 1. assign V833051 = V210286 + 1. assign V230469 = V935239 - 1. assign V930401 = V284929 + 1. assign V284929 = V064063. assign V903971 = V993216 + 1. assign V815083 = V429282. assign V893974 = V895148 - 1. assign V822510 = V128168 + 1. assign V886206 = V993216 - 1. assign V585671 = V429282. assign V592641 = V647770 + 1. assign V258793 = V362177 + 1. assign V547548 = V169028 + 1. assign V757059 = V763522 - 1. assign V739408 = V512077 + 1. assign V932111 = V454010 - 1. assign V472818 = V746800 + 1. assign V210286 = V900621. assign V583420 = V757059 + 1. assign V010158 = V284929 + 1. assign V014667 = V742797 - 1. assign V471580 = V330196. assign V647770 = V827463. assign V412309 = V205280 + 1. assign V189139 = V503904 + 1. assign V895148 = V621038. assign V675901 = V844160 + 1. assign V764019 = V128168 + 1. assign V886098 = V512077 - 1. assign V372962 = V512077. assign V888113 = V339472 - 1. assign V368090 = V830300 - 1. assign V844160 = V447287 + 1. assign V377782 = V263932 + 1. assign V575985 = V090622 + 1. assign V271869 = V641391 + 1. assign V835128 = V900621. assign V210630 = V742797. assign V473562 = V372962 + 1. assign V175221 = V900621 + 1. assign V490135 = V174945 + 1. assign V083476 = V335451 - 1. assign V668144 = V657325 - 1. assign V775850 = V711974. assign V944202 = V886206 + 1. assign V641391 = V472818 - 1. assign V205280 = V685338. assign V256271 = V840964 - 1. assign V935239 = V822510. assign V985939 = V877960. assign V086822 = V675901 + 1. assign V167175 = V864526. assign V115714 = V103616 + 1. assign V134825 = V746800 - 1. assign V571649 = V893974 - 1. assign V032355 = V914907. assign V335451 = V429282 + 1. assign V670363 = V900621 - 1. assign V339472 = V989791 - 1. assign V802295 = V900621 + 1. assign V103616 = V258793. assign V454010 = V169028. assign V460205 = V203175 + 1. assign V400367 = V384698 - 1. assign V625717 = V746800. assign V267435 = V930401 - 1. assign V090622 = V990917 + 1. assign V174388 = V189139. assign V731957 = V815083 + 1. assign V451559 = V132678 + 1. assign V594994 = V188766 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV242622 = 3;\n\nFrom these direct assignment(s), we have: \nV285709 = V242622 = 3;\nNo other variables can be derived from V285709;\nNo other variables can be derived from V242622;\n\nNow we have done all the calculations. Derived variables are:\nV242622 = 3;\nV285709 = 3;\n\nNow we have finished this problem. ANSWER:\nV242622, V285709\n", "role": "assistant" } ]

[ "V398951" ]

[ { "content": "<context>\nassign V606124 = V607405 - 1. assign V081019 = V383608. assign V182648 = V761414 - 1. assign V433609 = V167208. assign V315547 = V607405 - 1. assign V841447 = V828441. assign V637602 = V409687 + 1. assign V912416 = V607405 - 1. assign V258576 = V059949 + 1. assign V955181 = V802386 + 1. assign V537263 = V031727. assign V852521 = V266008. assign V485391 = V360936 + 1. assign V828441 = V409687 - 1. assign V391501 = V495267. assign V747012 = V700582. assign V945836 = V511770. assign V837275 = V946128 - 1. assign V687107 = V902543. assign V241689 = V800894. assign V729173 = V147367 + 1. assign V150308 = V613612 - 1. assign V891496 = V225320 + 1. assign V551305 = V060133. assign V272531 = V724563 - 1. assign V378195 = V802386 + 1. assign V737418 = V002774. assign V646655 = V409687. assign V959625 = V060133 - 1. assign V398951 = V720432 + 1. assign V059949 = V405112. assign V107555 = V815965. assign V733322 = V266008. assign V313504 = V109618 + 1. assign V902543 = V607405 - 1. assign V544572 = V559699 - 1. assign V916609 = V782221 + 1. assign V420336 = V848999 + 1. assign V815965 = V724563 + 1. assign V848999 = V909535 + 1. assign V182374 = V551305 - 1. assign V536553 = V700906 - 1. assign V678065 = V852521 - 1. assign V291919 = V536553 + 1. assign V674400 = V405282 - 1. assign V561051 = V409687 - 1. assign V002774 = V580237 - 1. assign V538240 = V393834. assign V511770 = V841447. assign V793293 = V485391 - 1. assign V876281 = V405282 + 1. assign V734249 = V841447 - 1. assign V866722 = V286137 - 1. assign V211383 = V081019 - 1. assign V274744 = V059949 - 1. assign V863866 = V511770 - 1. assign V253927 = V876281. assign V606812 = V107555. assign V105480 = V140329 + 1. assign V101210 = V605216 - 1. assign V706104 = V511770 - 1. assign V017525 = V724563 - 1. assign V466880 = V700582. assign V724563 = V260015. assign V433764 = V848999 - 1. assign V031727 = V957783. assign V768392 = V225320 - 1. assign V010511 = V724563 - 1. assign V509077 = V714170. assign V087563 = V700906. assign V700582 = V580237 - 1. assign V591151 = V433764 + 1. assign V793510 = V109618 + 1. assign V211577 = V405112 - 1. assign V246512 = V828441 + 1. assign V979997 = V171192. assign V761414 = V500037 - 1. assign V605216 = V405112 - 1. assign V803812 = V211577. assign V118640 = V521825 - 1. assign V225320 = V313504 - 1. assign V634978 = V706104 + 1. assign V038900 = V251049 + 1. assign V512153 = V383608 + 1. assign V090712 = V559699. assign V132189 = V909535. assign V998713 = V536553. assign V266008 = V916609. assign V607405 = V060133 + 1. assign V383608 = V909535 - 1. assign V169338 = V313504 - 1. assign V726737 = V167208 - 1. assign V731213 = V251049 - 1. assign V286137 = V607405. assign V725297 = V700582 + 1. assign V613612 = V700582 + 1. assign V990065 = V109618. assign V917131 = V637602 + 1. assign V378552 = V253927 - 1. assign V490111 = V171192. assign V731006 = V260015 - 1. assign V260015 = V393834 - 1. assign V140329 = V167208 - 1. assign V747218 = V002774 + 1. assign V251049 = V538240. assign V782221 = V405112 - 1. assign V182985 = V313504 - 1. assign V529710 = V286137 - 1. assign V147367 = V613612 - 1. assign V405112 = V132189 + 1. assign V012627 = V132189. assign V851219 = V147367 + 1. assign V580237 = V637602 - 1. assign V064381 = V090712 - 1. assign V409687 = V393834 + 1. assign V068316 = V225320 + 1. assign V802386 = V613612 + 1. assign V796833 = V607405. assign V762514 = V393834. assign V266277 = V405112 - 1. assign V660878 = V490712 + 1. assign V577735 = V828441. assign V415108 = V990065 - 1. assign V812254 = V383608 - 1. assign V360936 = V171192 + 1. assign V618553 = V768392 - 1. assign V493605 = V959625. assign V490712 = V580237 - 1. assign V748662 = V828441 - 1. assign V060133 = V538240 - 1. assign V665216 = V068316. assign V521825 = V604925 + 1. assign V615471 = V260015 - 1. assign V403242 = V315547 - 1. assign V812848 = V031727. assign V700906 = V909535 - 1. assign V171192 = V607405. assign V662656 = V517072. assign V523333 = V646655 + 1. assign V125188 = V917131 - 1. assign V200074 = V916609 - 1. assign V723493 = V637602 - 1. assign V495267 = V393834 - 1. assign V590365 = V260015. assign V935514 = V433764 - 1. assign V415822 = V500037. assign V957783 = V580237 - 1. assign V012963 = V876281 + 1. assign V714170 = V909535 + 1. assign V221507 = V059949 - 1. assign V946128 = V405282. assign V388045 = V405282 + 1. assign V393834 = V132189 - 1. assign V517072 = V793510 - 1. assign V859726 = V866722 - 1. assign V109618 = V841447 + 1. assign V500037 = V946128 - 1. assign V720432 = 7. assign V133074 = V405112 + 1. assign V559699 = V260015. assign V405282 = V841447 - 1. assign V860302 = V132189 - 1. assign V694613 = V512153. assign V604925 = V917131 + 1. assign V188166 = V012627 + 1. assign V737357 = V266277 - 1. assign V800894 = V613612 - 1. assign V167208 = V946128 - 1. assign V440022 = V538240 - 1. assign V696178 = V529710 + 1. assign V624878 = V726737 - 1. assign V580263 = V291919 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V606124 = V607405 - 1. assign V081019 = V383608. assign V182648 = V761414 - 1. assign V433609 = V167208. assign V315547 = V607405 - 1. assign V841447 = V828441. assign V637602 = V409687 + 1. assign V912416 = V607405 - 1. assign V258576 = V059949 + 1. assign V955181 = V802386 + 1. assign V537263 = V031727. assign V852521 = V266008. assign V485391 = V360936 + 1. assign V828441 = V409687 - 1. assign V391501 = V495267. assign V747012 = V700582. assign V945836 = V511770. assign V837275 = V946128 - 1. assign V687107 = V902543. assign V241689 = V800894. assign V729173 = V147367 + 1. assign V150308 = V613612 - 1. assign V891496 = V225320 + 1. assign V551305 = V060133. assign V272531 = V724563 - 1. assign V378195 = V802386 + 1. assign V737418 = V002774. assign V646655 = V409687. assign V959625 = V060133 - 1. assign V398951 = V720432 + 1. assign V059949 = V405112. assign V107555 = V815965. assign V733322 = V266008. assign V313504 = V109618 + 1. assign V902543 = V607405 - 1. assign V544572 = V559699 - 1. assign V916609 = V782221 + 1. assign V420336 = V848999 + 1. assign V815965 = V724563 + 1. assign V848999 = V909535 + 1. assign V182374 = V551305 - 1. assign V536553 = V700906 - 1. assign V678065 = V852521 - 1. assign V291919 = V536553 + 1. assign V674400 = V405282 - 1. assign V561051 = V409687 - 1. assign V002774 = V580237 - 1. assign V538240 = V393834. assign V511770 = V841447. assign V793293 = V485391 - 1. assign V876281 = V405282 + 1. assign V734249 = V841447 - 1. assign V866722 = V286137 - 1. assign V211383 = V081019 - 1. assign V274744 = V059949 - 1. assign V863866 = V511770 - 1. assign V253927 = V876281. assign V606812 = V107555. assign V105480 = V140329 + 1. assign V101210 = V605216 - 1. assign V706104 = V511770 - 1. assign V017525 = V724563 - 1. assign V466880 = V700582. assign V724563 = V260015. assign V433764 = V848999 - 1. assign V031727 = V957783. assign V768392 = V225320 - 1. assign V010511 = V724563 - 1. assign V509077 = V714170. assign V087563 = V700906. assign V700582 = V580237 - 1. assign V591151 = V433764 + 1. assign V793510 = V109618 + 1. assign V211577 = V405112 - 1. assign V246512 = V828441 + 1. assign V979997 = V171192. assign V761414 = V500037 - 1. assign V605216 = V405112 - 1. assign V803812 = V211577. assign V118640 = V521825 - 1. assign V225320 = V313504 - 1. assign V634978 = V706104 + 1. assign V038900 = V251049 + 1. assign V512153 = V383608 + 1. assign V090712 = V559699. assign V132189 = V909535. assign V998713 = V536553. assign V266008 = V916609. assign V607405 = V060133 + 1. assign V383608 = V909535 - 1. assign V169338 = V313504 - 1. assign V726737 = V167208 - 1. assign V731213 = V251049 - 1. assign V286137 = V607405. assign V725297 = V700582 + 1. assign V613612 = V700582 + 1. assign V990065 = V109618. assign V917131 = V637602 + 1. assign V378552 = V253927 - 1. assign V490111 = V171192. assign V731006 = V260015 - 1. assign V260015 = V393834 - 1. assign V140329 = V167208 - 1. assign V747218 = V002774 + 1. assign V251049 = V538240. assign V782221 = V405112 - 1. assign V182985 = V313504 - 1. assign V529710 = V286137 - 1. assign V147367 = V613612 - 1. assign V405112 = V132189 + 1. assign V012627 = V132189. assign V851219 = V147367 + 1. assign V580237 = V637602 - 1. assign V064381 = V090712 - 1. assign V409687 = V393834 + 1. assign V068316 = V225320 + 1. assign V802386 = V613612 + 1. assign V796833 = V607405. assign V762514 = V393834. assign V266277 = V405112 - 1. assign V660878 = V490712 + 1. assign V577735 = V828441. assign V415108 = V990065 - 1. assign V812254 = V383608 - 1. assign V360936 = V171192 + 1. assign V618553 = V768392 - 1. assign V493605 = V959625. assign V490712 = V580237 - 1. assign V748662 = V828441 - 1. assign V060133 = V538240 - 1. assign V665216 = V068316. assign V521825 = V604925 + 1. assign V615471 = V260015 - 1. assign V403242 = V315547 - 1. assign V812848 = V031727. assign V700906 = V909535 - 1. assign V171192 = V607405. assign V662656 = V517072. assign V523333 = V646655 + 1. assign V125188 = V917131 - 1. assign V200074 = V916609 - 1. assign V723493 = V637602 - 1. assign V495267 = V393834 - 1. assign V590365 = V260015. assign V935514 = V433764 - 1. assign V415822 = V500037. assign V957783 = V580237 - 1. assign V012963 = V876281 + 1. assign V714170 = V909535 + 1. assign V221507 = V059949 - 1. assign V946128 = V405282. assign V388045 = V405282 + 1. assign V393834 = V132189 - 1. assign V517072 = V793510 - 1. assign V859726 = V866722 - 1. assign V109618 = V841447 + 1. assign V500037 = V946128 - 1. assign V720432 = 7. assign V133074 = V405112 + 1. assign V559699 = V260015. assign V405282 = V841447 - 1. assign V860302 = V132189 - 1. assign V694613 = V512153. assign V604925 = V917131 + 1. assign V188166 = V012627 + 1. assign V737357 = V266277 - 1. assign V800894 = V613612 - 1. assign V167208 = V946128 - 1. assign V440022 = V538240 - 1. assign V696178 = V529710 + 1. assign V624878 = V726737 - 1. assign V580263 = V291919 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV720432 = 7;\n\nFrom these direct assignment(s), we have: \nV398951 = V720432 + 1 = 7 + 1 =8;\nNo other variables can be derived from V398951;\nNo other variables can be derived from V720432;\n\nNow we have done all the calculations. Derived variables are:\nV720432 = 7;\nV398951 = 8;\n\nNow we have finished this problem. ANSWER:\nV398951\n", "role": "assistant" } ]

[ "V356471" ]

[ { "content": "<context>\nassign V007595 = V261243. assign V358505 = V185137 + 1. assign V636715 = V388390 + 1. assign V633579 = V024722 - 1. assign V762793 = V198757 - 1. assign V555135 = V215417 - 1. assign V308771 = V225204 - 1. assign V179504 = V064355 - 1. assign V846187 = V259677. assign V229292 = V192435 + 1. assign V228710 = V759645. assign V185137 = V715057. assign V695859 = V846004 + 1. assign V271892 = V932270. assign V097639 = V754323. assign V756189 = V770062. assign V097671 = V387956 + 1. assign V662326 = V356450. assign V990951 = V846004 + 1. assign V785363 = V921558 + 1. assign V650878 = V762793 + 1. assign V961986 = V064355 + 1. assign V397341 = V527428 - 1. assign V443797 = V387956 - 1. assign V874477 = V535737 + 1. assign V215417 = V715057. assign V955693 = V580986 + 1. assign V825149 = V225204 + 1. assign V641067 = V530179. assign V328515 = V231248 + 1. assign V764703 = V438341 - 1. assign V508687 = V846187 - 1. assign V751843 = V527428 + 1. assign V077744 = V259677 + 1. assign V498051 = V862672 + 1. assign V390653 = V438353 - 1. assign V527882 = V921558. assign V399759 = V616041. assign V954598 = V192435 - 1. assign V094541 = V616548 - 1. assign V617327 = V695859. assign V304372 = V390653 - 1. assign V525847 = V845967. assign V157926 = V181095 - 1. assign V983140 = V443797 - 1. assign V192435 = V881414 + 1. assign V731634 = V438353. assign V356450 = V064355 + 1. assign V784682 = V881414. assign V287676 = V440181 - 1. assign V445312 = V074278 + 1. assign V970318 = V966083 + 1. assign V914222 = V133498 + 1. assign V236881 = V555135 + 1. assign V064355 = V932270 + 1. assign V314348 = V983140 - 1. assign V356471 = V470531 - 1. assign V754323 = V770062. assign V438353 = V881414 + 1. assign V862672 = V980829 + 1. assign V024722 = V881414 - 1. assign V908426 = V715057 + 1. assign V070808 = V712442. assign V813105 = V932270 - 1. assign V258846 = V024722. assign V309120 = V580986. assign V320375 = V058940. assign V141124 = V715057 - 1. assign V931790 = V751843 + 1. assign V770062 = V438353 - 1. assign V960999 = V258846 + 1. assign V313933 = V192435. assign V127489 = V179504 - 1. assign V441415 = V298034 - 1. assign V854001 = V845967 - 1. assign V240913 = V622297. assign V846196 = V440181 - 1. assign V133498 = V438353. assign V231248 = V387956 - 1. assign V527428 = V438353 - 1. assign V438341 = V932270 - 1. assign V744620 = V184417. assign V470531 = 0. assign V614007 = V580986 + 1. assign V589567 = V314348 - 1. assign V987133 = V715057. assign V797506 = V845967. assign V615321 = V390653 + 1. assign V057119 = V440181 + 1. assign V966083 = V770062 + 1. assign V342318 = V440181 + 1. assign V294387 = V097671 + 1. assign V567344 = V308771 - 1. assign V864016 = V146852 - 1. assign V449069 = V179504 + 1. assign V556765 = V071779 - 1. assign V535737 = V966083 + 1. assign V561637 = V954598. assign V771235 = V146852 - 1. assign V149273 = V615321 - 1. assign V669143 = V007595. assign V096640 = V259677. assign V901595 = V007595 - 1. assign V741071 = V530179 - 1. assign V630625 = V438353 - 1. assign V576608 = V555135. assign V858398 = V555135 + 1. assign V750127 = V146852 + 1. assign V440181 = V712442 + 1. assign V298034 = V388390 - 1. assign V616041 = V980829 - 1. assign V181095 = V633579 + 1. assign V616442 = V931790 - 1. assign V517607 = V616442 - 1. assign V349687 = V954598. assign V074278 = V846004 - 1. assign V964607 = V225204 + 1. assign V482569 = V751843. assign V180214 = V932270. assign V133335 = V261243 + 1. assign V966617 = V846004 + 1. assign V845967 = V633579 + 1. assign V387956 = V881414. assign V597697 = V320837 + 1. assign V175982 = V229292 - 1. assign V579836 = V848834 + 1. assign V871141 = V931790 + 1. assign V320837 = V319527 - 1. assign V154391 = V881414 - 1. assign V963863 = V966083 - 1. assign V778810 = V535737 - 1. assign V622297 = V846004 + 1. assign V992104 = V576608 + 1. assign V980829 = V932270 - 1. assign V319527 = V980829 - 1. assign V715057 = V231248 + 1. assign V962742 = V527428. assign V373797 = V149273 + 1. assign V071779 = V141124 + 1. assign V932270 = V881414 + 1. assign V759645 = V261243 - 1. assign V532133 = V440181 - 1. assign V388390 = V141124 + 1. assign V580986 = V387956. assign V846004 = V960999. assign V685302 = V184417 + 1. assign V566371 = V443797. assign V848834 = V390653 + 1. assign V259677 = V633579. assign V225204 = V184417. assign V518039 = V614007 - 1. assign V058940 = V024722. assign V630261 = V443797 + 1. assign V959415 = V180214 - 1. assign V146852 = V390653 - 1. assign V261243 = V181095. assign V231965 = V259677 + 1. assign V184417 = V813105 + 1. assign V222862 = V077744 - 1. assign V198757 = V966083 - 1. assign V639875 = V535737 - 1. assign V766198 = V070808 - 1. assign V896734 = V184417. assign V664409 = V146852 - 1. assign V616548 = V846187 - 1. assign V982556 = V320837 + 1. assign V373077 = V071779 + 1. assign V712442 = V024722 + 1. assign V049579 = V754323 + 1. assign V921558 = V633579 + 1. assign V530179 = V966083 + 1. assign V541981 = V287676.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V007595 = V261243. assign V358505 = V185137 + 1. assign V636715 = V388390 + 1. assign V633579 = V024722 - 1. assign V762793 = V198757 - 1. assign V555135 = V215417 - 1. assign V308771 = V225204 - 1. assign V179504 = V064355 - 1. assign V846187 = V259677. assign V229292 = V192435 + 1. assign V228710 = V759645. assign V185137 = V715057. assign V695859 = V846004 + 1. assign V271892 = V932270. assign V097639 = V754323. assign V756189 = V770062. assign V097671 = V387956 + 1. assign V662326 = V356450. assign V990951 = V846004 + 1. assign V785363 = V921558 + 1. assign V650878 = V762793 + 1. assign V961986 = V064355 + 1. assign V397341 = V527428 - 1. assign V443797 = V387956 - 1. assign V874477 = V535737 + 1. assign V215417 = V715057. assign V955693 = V580986 + 1. assign V825149 = V225204 + 1. assign V641067 = V530179. assign V328515 = V231248 + 1. assign V764703 = V438341 - 1. assign V508687 = V846187 - 1. assign V751843 = V527428 + 1. assign V077744 = V259677 + 1. assign V498051 = V862672 + 1. assign V390653 = V438353 - 1. assign V527882 = V921558. assign V399759 = V616041. assign V954598 = V192435 - 1. assign V094541 = V616548 - 1. assign V617327 = V695859. assign V304372 = V390653 - 1. assign V525847 = V845967. assign V157926 = V181095 - 1. assign V983140 = V443797 - 1. assign V192435 = V881414 + 1. assign V731634 = V438353. assign V356450 = V064355 + 1. assign V784682 = V881414. assign V287676 = V440181 - 1. assign V445312 = V074278 + 1. assign V970318 = V966083 + 1. assign V914222 = V133498 + 1. assign V236881 = V555135 + 1. assign V064355 = V932270 + 1. assign V314348 = V983140 - 1. assign V356471 = V470531 - 1. assign V754323 = V770062. assign V438353 = V881414 + 1. assign V862672 = V980829 + 1. assign V024722 = V881414 - 1. assign V908426 = V715057 + 1. assign V070808 = V712442. assign V813105 = V932270 - 1. assign V258846 = V024722. assign V309120 = V580986. assign V320375 = V058940. assign V141124 = V715057 - 1. assign V931790 = V751843 + 1. assign V770062 = V438353 - 1. assign V960999 = V258846 + 1. assign V313933 = V192435. assign V127489 = V179504 - 1. assign V441415 = V298034 - 1. assign V854001 = V845967 - 1. assign V240913 = V622297. assign V846196 = V440181 - 1. assign V133498 = V438353. assign V231248 = V387956 - 1. assign V527428 = V438353 - 1. assign V438341 = V932270 - 1. assign V744620 = V184417. assign V470531 = 0. assign V614007 = V580986 + 1. assign V589567 = V314348 - 1. assign V987133 = V715057. assign V797506 = V845967. assign V615321 = V390653 + 1. assign V057119 = V440181 + 1. assign V966083 = V770062 + 1. assign V342318 = V440181 + 1. assign V294387 = V097671 + 1. assign V567344 = V308771 - 1. assign V864016 = V146852 - 1. assign V449069 = V179504 + 1. assign V556765 = V071779 - 1. assign V535737 = V966083 + 1. assign V561637 = V954598. assign V771235 = V146852 - 1. assign V149273 = V615321 - 1. assign V669143 = V007595. assign V096640 = V259677. assign V901595 = V007595 - 1. assign V741071 = V530179 - 1. assign V630625 = V438353 - 1. assign V576608 = V555135. assign V858398 = V555135 + 1. assign V750127 = V146852 + 1. assign V440181 = V712442 + 1. assign V298034 = V388390 - 1. assign V616041 = V980829 - 1. assign V181095 = V633579 + 1. assign V616442 = V931790 - 1. assign V517607 = V616442 - 1. assign V349687 = V954598. assign V074278 = V846004 - 1. assign V964607 = V225204 + 1. assign V482569 = V751843. assign V180214 = V932270. assign V133335 = V261243 + 1. assign V966617 = V846004 + 1. assign V845967 = V633579 + 1. assign V387956 = V881414. assign V597697 = V320837 + 1. assign V175982 = V229292 - 1. assign V579836 = V848834 + 1. assign V871141 = V931790 + 1. assign V320837 = V319527 - 1. assign V154391 = V881414 - 1. assign V963863 = V966083 - 1. assign V778810 = V535737 - 1. assign V622297 = V846004 + 1. assign V992104 = V576608 + 1. assign V980829 = V932270 - 1. assign V319527 = V980829 - 1. assign V715057 = V231248 + 1. assign V962742 = V527428. assign V373797 = V149273 + 1. assign V071779 = V141124 + 1. assign V932270 = V881414 + 1. assign V759645 = V261243 - 1. assign V532133 = V440181 - 1. assign V388390 = V141124 + 1. assign V580986 = V387956. assign V846004 = V960999. assign V685302 = V184417 + 1. assign V566371 = V443797. assign V848834 = V390653 + 1. assign V259677 = V633579. assign V225204 = V184417. assign V518039 = V614007 - 1. assign V058940 = V024722. assign V630261 = V443797 + 1. assign V959415 = V180214 - 1. assign V146852 = V390653 - 1. assign V261243 = V181095. assign V231965 = V259677 + 1. assign V184417 = V813105 + 1. assign V222862 = V077744 - 1. assign V198757 = V966083 - 1. assign V639875 = V535737 - 1. assign V766198 = V070808 - 1. assign V896734 = V184417. assign V664409 = V146852 - 1. assign V616548 = V846187 - 1. assign V982556 = V320837 + 1. assign V373077 = V071779 + 1. assign V712442 = V024722 + 1. assign V049579 = V754323 + 1. assign V921558 = V633579 + 1. assign V530179 = V966083 + 1. assign V541981 = V287676.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV470531 = 0;\n\nFrom these direct assignment(s), we have: \nV356471 = V470531 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V356471;\nNo other variables can be derived from V470531;\n\nNow we have done all the calculations. Derived variables are:\nV470531 = 0;\nV356471 = -1;\n\nNow we have finished this problem. ANSWER:\nV356471\n", "role": "assistant" } ]

[ "V593301", "V863437" ]

[ { "content": "<context>\nassign V751963 = V196880. assign V817161 = V583483 + 1. assign V437349 = V570191 - 1. assign V595149 = V776382 + 1. assign V602450 = V134485. assign V910854 = V695082 - 1. assign V097632 = V773911 - 1. assign V633344 = V570191 - 1. assign V670362 = V024884 + 1. assign V544649 = V024884 - 1. assign V657256 = V824214 - 1. assign V540170 = V294097 + 1. assign V297117 = V559411 - 1. assign V122201 = V474406. assign V601767 = V040268. assign V352489 = V773911 + 1. assign V756062 = V297117 - 1. assign V375230 = V543457. assign V722028 = V097944. assign V560883 = V943657. assign V801343 = V122201 + 1. assign V147730 = V601767. assign V169146 = V386007. assign V189671 = V602450 - 1. assign V273573 = V602450 - 1. assign V903519 = V957053. assign V842500 = V773911. assign V655093 = V420280. assign V474406 = V680740 - 1. assign V764553 = V811796. assign V424362 = V544649 + 1. assign V214984 = V477077. assign V221952 = V540398 + 1. assign V306740 = V544649 - 1. assign V480075 = V456510 + 1. assign V813171 = V352489 - 1. assign V135945 = V386007 - 1. assign V558298 = V155229 + 1. assign V246938 = V118696 + 1. assign V074677 = V644618 + 1. assign V073070 = V666470 + 1. assign V863437 = V593301. assign V167752 = V695091 - 1. assign V632224 = V249036 + 1. assign V954106 = V072902 + 1. assign V559482 = V073070. assign V416683 = V273573 + 1. assign V420280 = V359661 - 1. assign V037038 = V943657 - 1. assign V915579 = V073070 + 1. assign V514681 = V722028 + 1. assign V937273 = V492054 - 1. assign V824214 = V345040. assign V713998 = V877873 + 1. assign V427859 = V122201. assign V514706 = V751963. assign V651432 = V385157 - 1. assign V971950 = V256094 + 1. assign V923157 = V004321 + 1. assign V004321 = V134485 + 1. assign V057050 = V764553. assign V872634 = V944266 - 1. assign V024884 = V954106. assign V990024 = V946115 - 1. assign V200629 = V073070 + 1. assign V946115 = V872634 - 1. assign V381683 = V540398 - 1. assign V302408 = V943657 - 1. assign V265082 = V649630 + 1. assign V456081 = V097632 - 1. assign V359661 = V943657 + 1. assign V540398 = V456510 + 1. assign V246857 = V559482 - 1. assign V695082 = V097944. assign V155229 = V544649. assign V666470 = V864031 - 1. assign V385157 = V957053 - 1. assign V869847 = V073070 - 1. assign V713440 = V300431. assign V054403 = V559411 + 1. assign V806817 = V134485. assign V521323 = V923157 + 1. assign V944266 = V804700 + 1. assign V072902 = V273573 + 1. assign V345040 = V864031 + 1. assign V124130 = V135945 + 1. assign V120994 = V036560 + 1. assign V104231 = V543457. assign V205963 = V134485 - 1. assign V120490 = V147730 - 1. assign V919860 = V745653 - 1. assign V811796 = V097944. assign V559381 = V134485. assign V749339 = V558690 - 1. assign V036560 = V040268 - 1. assign V313682 = V540170 - 1. assign V006646 = V651432 - 1. assign V040268 = V386007 + 1. assign V768986 = V529445 - 1. assign V804700 = V529445. assign V583483 = V135945. assign V507313 = V740649. assign V380324 = V633344 + 1. assign V020123 = V196880 - 1. assign V864031 = V134485. assign V773911 = V386007 + 1. assign V477077 = V570191. assign V529445 = V134485 + 1. assign V457579 = V134485 - 1. assign V179776 = V817161. assign V695091 = V696126 - 1. assign V521370 = V864031. assign V249036 = V915579. assign V427494 = V492054 - 1. assign V492054 = V474406 - 1. assign V776382 = V072902 - 1. assign V884471 = V097632. assign V565743 = V923157. assign V256094 = V098025 - 1. assign V826479 = V359661. assign V098025 = V054403. assign V168566 = V826479 - 1. assign V437340 = V345040 + 1. assign V518880 = V749339 - 1. assign V623299 = V985455 - 1. assign V549517 = V480075. assign V196880 = V040268 + 1. assign V244465 = V595149. assign V740649 = V804700. assign V366580 = V024884. assign V504501 = V644618 + 1. assign V502461 = V167752. assign V465280 = V200629 + 1. assign V545189 = V492054 - 1. assign V879391 = V073070 + 1. assign V322190 = V477077 + 1. assign V677045 = V195039. assign V558690 = V456510 + 1. assign V745653 = V072902 + 1. assign V680740 = V570191 - 1. assign V026156 = V259236 + 1. assign V985455 = V024884 + 1. assign V559411 = V073070. assign V593301 = 2. assign V957053 = V806817 - 1. assign V883237 = V776382 + 1. assign V943657 = V273573 + 1. assign V456510 = V559411 + 1. assign V386007 = V134485 + 1. assign V195039 = V118696 - 1. assign V279532 = V919860 - 1. assign V644618 = V122201. assign V097944 = V040268 - 1. assign V300431 = V651432 + 1. assign V570191 = V134485 + 1. assign V051457 = V386007. assign V128095 = V322190 - 1. assign V501602 = V196880 - 1. assign V259236 = V205963. assign V180879 = V943657 - 1. assign V118696 = V680740 + 1. assign V649630 = V651432 - 1. assign V339147 = V990024. assign V294097 = V869847 - 1. assign V573229 = V120994 + 1. assign V593807 = V696126. assign V247800 = V944266 - 1. assign V968736 = V189671. assign V543457 = V492054. assign V046223 = V985455 - 1. assign V877873 = V024884. assign V696126 = V386007.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V751963 = V196880. assign V817161 = V583483 + 1. assign V437349 = V570191 - 1. assign V595149 = V776382 + 1. assign V602450 = V134485. assign V910854 = V695082 - 1. assign V097632 = V773911 - 1. assign V633344 = V570191 - 1. assign V670362 = V024884 + 1. assign V544649 = V024884 - 1. assign V657256 = V824214 - 1. assign V540170 = V294097 + 1. assign V297117 = V559411 - 1. assign V122201 = V474406. assign V601767 = V040268. assign V352489 = V773911 + 1. assign V756062 = V297117 - 1. assign V375230 = V543457. assign V722028 = V097944. assign V560883 = V943657. assign V801343 = V122201 + 1. assign V147730 = V601767. assign V169146 = V386007. assign V189671 = V602450 - 1. assign V273573 = V602450 - 1. assign V903519 = V957053. assign V842500 = V773911. assign V655093 = V420280. assign V474406 = V680740 - 1. assign V764553 = V811796. assign V424362 = V544649 + 1. assign V214984 = V477077. assign V221952 = V540398 + 1. assign V306740 = V544649 - 1. assign V480075 = V456510 + 1. assign V813171 = V352489 - 1. assign V135945 = V386007 - 1. assign V558298 = V155229 + 1. assign V246938 = V118696 + 1. assign V074677 = V644618 + 1. assign V073070 = V666470 + 1. assign V863437 = V593301. assign V167752 = V695091 - 1. assign V632224 = V249036 + 1. assign V954106 = V072902 + 1. assign V559482 = V073070. assign V416683 = V273573 + 1. assign V420280 = V359661 - 1. assign V037038 = V943657 - 1. assign V915579 = V073070 + 1. assign V514681 = V722028 + 1. assign V937273 = V492054 - 1. assign V824214 = V345040. assign V713998 = V877873 + 1. assign V427859 = V122201. assign V514706 = V751963. assign V651432 = V385157 - 1. assign V971950 = V256094 + 1. assign V923157 = V004321 + 1. assign V004321 = V134485 + 1. assign V057050 = V764553. assign V872634 = V944266 - 1. assign V024884 = V954106. assign V990024 = V946115 - 1. assign V200629 = V073070 + 1. assign V946115 = V872634 - 1. assign V381683 = V540398 - 1. assign V302408 = V943657 - 1. assign V265082 = V649630 + 1. assign V456081 = V097632 - 1. assign V359661 = V943657 + 1. assign V540398 = V456510 + 1. assign V246857 = V559482 - 1. assign V695082 = V097944. assign V155229 = V544649. assign V666470 = V864031 - 1. assign V385157 = V957053 - 1. assign V869847 = V073070 - 1. assign V713440 = V300431. assign V054403 = V559411 + 1. assign V806817 = V134485. assign V521323 = V923157 + 1. assign V944266 = V804700 + 1. assign V072902 = V273573 + 1. assign V345040 = V864031 + 1. assign V124130 = V135945 + 1. assign V120994 = V036560 + 1. assign V104231 = V543457. assign V205963 = V134485 - 1. assign V120490 = V147730 - 1. assign V919860 = V745653 - 1. assign V811796 = V097944. assign V559381 = V134485. assign V749339 = V558690 - 1. assign V036560 = V040268 - 1. assign V313682 = V540170 - 1. assign V006646 = V651432 - 1. assign V040268 = V386007 + 1. assign V768986 = V529445 - 1. assign V804700 = V529445. assign V583483 = V135945. assign V507313 = V740649. assign V380324 = V633344 + 1. assign V020123 = V196880 - 1. assign V864031 = V134485. assign V773911 = V386007 + 1. assign V477077 = V570191. assign V529445 = V134485 + 1. assign V457579 = V134485 - 1. assign V179776 = V817161. assign V695091 = V696126 - 1. assign V521370 = V864031. assign V249036 = V915579. assign V427494 = V492054 - 1. assign V492054 = V474406 - 1. assign V776382 = V072902 - 1. assign V884471 = V097632. assign V565743 = V923157. assign V256094 = V098025 - 1. assign V826479 = V359661. assign V098025 = V054403. assign V168566 = V826479 - 1. assign V437340 = V345040 + 1. assign V518880 = V749339 - 1. assign V623299 = V985455 - 1. assign V549517 = V480075. assign V196880 = V040268 + 1. assign V244465 = V595149. assign V740649 = V804700. assign V366580 = V024884. assign V504501 = V644618 + 1. assign V502461 = V167752. assign V465280 = V200629 + 1. assign V545189 = V492054 - 1. assign V879391 = V073070 + 1. assign V322190 = V477077 + 1. assign V677045 = V195039. assign V558690 = V456510 + 1. assign V745653 = V072902 + 1. assign V680740 = V570191 - 1. assign V026156 = V259236 + 1. assign V985455 = V024884 + 1. assign V559411 = V073070. assign V593301 = 2. assign V957053 = V806817 - 1. assign V883237 = V776382 + 1. assign V943657 = V273573 + 1. assign V456510 = V559411 + 1. assign V386007 = V134485 + 1. assign V195039 = V118696 - 1. assign V279532 = V919860 - 1. assign V644618 = V122201. assign V097944 = V040268 - 1. assign V300431 = V651432 + 1. assign V570191 = V134485 + 1. assign V051457 = V386007. assign V128095 = V322190 - 1. assign V501602 = V196880 - 1. assign V259236 = V205963. assign V180879 = V943657 - 1. assign V118696 = V680740 + 1. assign V649630 = V651432 - 1. assign V339147 = V990024. assign V294097 = V869847 - 1. assign V573229 = V120994 + 1. assign V593807 = V696126. assign V247800 = V944266 - 1. assign V968736 = V189671. assign V543457 = V492054. assign V046223 = V985455 - 1. assign V877873 = V024884. assign V696126 = V386007.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV593301 = 2;\n\nFrom these direct assignment(s), we have: \nV863437 = V593301 = 2;\nNo other variables can be derived from V863437;\nNo other variables can be derived from V593301;\n\nNow we have done all the calculations. Derived variables are:\nV593301 = 2;\nV863437 = 2;\n\nNow we have finished this problem. ANSWER:\nV593301, V863437\n", "role": "assistant" } ]

[ "V297461" ]

[ { "content": "<context>\nassign V880851 = V615597. assign V311020 = V742726 + 1. assign V615597 = V685452 - 1. assign V980338 = V909499 - 1. assign V809212 = V537038 + 1. assign V232754 = V685452 + 1. assign V159812 = V685452 + 1. assign V233888 = V142913. assign V133806 = V980338. assign V859204 = V996108 - 1. assign V561664 = V916967 - 1. assign V445983 = V232754 - 1. assign V375819 = V145547 + 1. assign V065771 = V461501 + 1. assign V916967 = V198196 + 1. assign V622927 = V263924 - 1. assign V947659 = V982398 + 1. assign V813246 = V082233 + 1. assign V851266 = V859204. assign V198196 = V742726. assign V565474 = V561664 - 1. assign V355701 = V082233 - 1. assign V595995 = V169016 + 1. assign V142913 = V635745 + 1. assign V169016 = V152089 - 1. assign V208627 = V447782. assign V119644 = V785012. assign V185830 = V267490. assign V785012 = V145547 + 1. assign V590554 = V809212. assign V352146 = V657083 + 1. assign V349581 = V082233 - 1. assign V461501 = V621679. assign V558095 = V208627. assign V611277 = V509466. assign V680476 = V621359 + 1. assign V566723 = V909499 + 1. assign V958598 = V566723. assign V263924 = V685452 + 1. assign V561827 = V187469 + 1. assign V139034 = V653253 - 1. assign V697500 = V386901. assign V969865 = V657083 - 1. assign V032252 = V386901 + 1. assign V999417 = V777859. assign V970779 = V354099. assign V623895 = V566723 + 1. assign V689473 = V474987 - 1. assign V934379 = V059483. assign V616995 = V354099 + 1. assign V474987 = V159812 - 1. assign V801910 = V447782 + 1. assign V269382 = V909499 + 1. assign V203764 = V938490 + 1. assign V938490 = V566723 + 1. assign V741846 = V282762. assign V509466 = V992189 - 1. assign V630818 = V905556. assign V359276 = V470599 + 1. assign V751232 = V377146 + 1. assign V023730 = V906172 + 1. assign V863911 = V059483. assign V996108 = V386901. assign V997567 = V386901 - 1. assign V901599 = V145547 + 1. assign V074134 = V297461 - 1. assign V570071 = V396957. assign V152089 = V685452 - 1. assign V639679 = V570071. assign V621679 = V938490. assign V906172 = V697500 + 1. assign V685452 = V386901 - 1. assign V276969 = V680476. assign V061223 = V900394. assign V886701 = V570071 - 1. assign V121496 = V269382 + 1. assign V653253 = V447782 + 1. assign V396957 = V951274. assign V153931 = V791690 + 1. assign V232241 = V067875 + 1. assign V456831 = V777859 - 1. assign V981717 = V456831. assign V187469 = V951274. assign V067875 = V447782. assign V855970 = V777859 - 1. assign V657083 = V152089 + 1. assign V722444 = V742726 - 1. assign V214766 = V267490 + 1. assign V592834 = V934379. assign V082233 = V059483 - 1. assign V282762 = V756181 + 1. assign V511474 = V886701. assign V318682 = V059483. assign V644763 = V447782 - 1. assign V740597 = V791690 - 1. assign V708428 = V169016 - 1. assign V030640 = V906172 - 1. assign V082999 = V809212 - 1. assign V811048 = V355701 + 1. assign V497578 = V616995 - 1. assign V396464 = V656113 + 1. assign V433240 = V139034 - 1. assign V471900 = V355701. assign V736876 = V359276. assign V777859 = V386901 + 1. assign V027652 = V697500 + 1. assign V666268 = V791690. assign V059483 = V386901 + 1. assign V771481 = V232754 + 1. assign V440104 = V441601 - 1. assign V536570 = V145547 - 1. assign V297461 = 6. assign V513459 = V938490 + 1. assign V428492 = V741846. assign V796895 = V741846. assign V538008 = V232754 - 1. assign V441601 = V152089 - 1. assign V992189 = V377146. assign V639330 = V970779. assign V025670 = V809212. assign V380711 = V900394 + 1. assign V514468 = V509466. assign V087941 = V635745. assign V231157 = V909499 + 1. assign V951274 = V756181. assign V982398 = V355701 + 1. assign V537038 = V232754. assign V465658 = V537038 + 1. assign V105241 = V269382 + 1. assign V635745 = V997567. assign V412364 = V282762. assign V629974 = V352146 - 1. assign V656113 = V951274 + 1. assign V900394 = V082233. assign V817305 = V025670. assign V039445 = V817305 - 1. assign V909499 = V263924 + 1. assign V335186 = V976166. assign V621359 = V938490. assign V142940 = V375819 - 1. assign V756181 = V697500 + 1. assign V998123 = V916967 - 1. assign V444084 = V456831 - 1. assign V354099 = V756181. assign V976166 = V145547. assign V807105 = V318682 + 1. assign V267490 = V059483. assign V115643 = V561664 - 1. assign V461956 = V198196 + 1. assign V742726 = V263924 + 1. assign V440225 = V900394 - 1. assign V601185 = V987748. assign V791690 = V906172 + 1. assign V905556 = V023730 - 1. assign V242848 = V722444 + 1. assign V180378 = V198196 - 1. assign V503587 = V538008 + 1. assign V271231 = V640308. assign V135953 = V441601 - 1. assign V888798 = V992189 + 1. assign V145547 = V997567. assign V624429 = V354099 + 1. assign V048849 = V640308 + 1. assign V377146 = V777859 + 1. assign V846907 = V282762 + 1. assign V447782 = V909499 - 1. assign V640308 = V656113. assign V987748 = V335186 - 1. assign V428188 = V377146 + 1. assign V422691 = V615597 + 1. assign V470599 = V428188 - 1. assign V008486 = V756181 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V880851 = V615597. assign V311020 = V742726 + 1. assign V615597 = V685452 - 1. assign V980338 = V909499 - 1. assign V809212 = V537038 + 1. assign V232754 = V685452 + 1. assign V159812 = V685452 + 1. assign V233888 = V142913. assign V133806 = V980338. assign V859204 = V996108 - 1. assign V561664 = V916967 - 1. assign V445983 = V232754 - 1. assign V375819 = V145547 + 1. assign V065771 = V461501 + 1. assign V916967 = V198196 + 1. assign V622927 = V263924 - 1. assign V947659 = V982398 + 1. assign V813246 = V082233 + 1. assign V851266 = V859204. assign V198196 = V742726. assign V565474 = V561664 - 1. assign V355701 = V082233 - 1. assign V595995 = V169016 + 1. assign V142913 = V635745 + 1. assign V169016 = V152089 - 1. assign V208627 = V447782. assign V119644 = V785012. assign V185830 = V267490. assign V785012 = V145547 + 1. assign V590554 = V809212. assign V352146 = V657083 + 1. assign V349581 = V082233 - 1. assign V461501 = V621679. assign V558095 = V208627. assign V611277 = V509466. assign V680476 = V621359 + 1. assign V566723 = V909499 + 1. assign V958598 = V566723. assign V263924 = V685452 + 1. assign V561827 = V187469 + 1. assign V139034 = V653253 - 1. assign V697500 = V386901. assign V969865 = V657083 - 1. assign V032252 = V386901 + 1. assign V999417 = V777859. assign V970779 = V354099. assign V623895 = V566723 + 1. assign V689473 = V474987 - 1. assign V934379 = V059483. assign V616995 = V354099 + 1. assign V474987 = V159812 - 1. assign V801910 = V447782 + 1. assign V269382 = V909499 + 1. assign V203764 = V938490 + 1. assign V938490 = V566723 + 1. assign V741846 = V282762. assign V509466 = V992189 - 1. assign V630818 = V905556. assign V359276 = V470599 + 1. assign V751232 = V377146 + 1. assign V023730 = V906172 + 1. assign V863911 = V059483. assign V996108 = V386901. assign V997567 = V386901 - 1. assign V901599 = V145547 + 1. assign V074134 = V297461 - 1. assign V570071 = V396957. assign V152089 = V685452 - 1. assign V639679 = V570071. assign V621679 = V938490. assign V906172 = V697500 + 1. assign V685452 = V386901 - 1. assign V276969 = V680476. assign V061223 = V900394. assign V886701 = V570071 - 1. assign V121496 = V269382 + 1. assign V653253 = V447782 + 1. assign V396957 = V951274. assign V153931 = V791690 + 1. assign V232241 = V067875 + 1. assign V456831 = V777859 - 1. assign V981717 = V456831. assign V187469 = V951274. assign V067875 = V447782. assign V855970 = V777859 - 1. assign V657083 = V152089 + 1. assign V722444 = V742726 - 1. assign V214766 = V267490 + 1. assign V592834 = V934379. assign V082233 = V059483 - 1. assign V282762 = V756181 + 1. assign V511474 = V886701. assign V318682 = V059483. assign V644763 = V447782 - 1. assign V740597 = V791690 - 1. assign V708428 = V169016 - 1. assign V030640 = V906172 - 1. assign V082999 = V809212 - 1. assign V811048 = V355701 + 1. assign V497578 = V616995 - 1. assign V396464 = V656113 + 1. assign V433240 = V139034 - 1. assign V471900 = V355701. assign V736876 = V359276. assign V777859 = V386901 + 1. assign V027652 = V697500 + 1. assign V666268 = V791690. assign V059483 = V386901 + 1. assign V771481 = V232754 + 1. assign V440104 = V441601 - 1. assign V536570 = V145547 - 1. assign V297461 = 6. assign V513459 = V938490 + 1. assign V428492 = V741846. assign V796895 = V741846. assign V538008 = V232754 - 1. assign V441601 = V152089 - 1. assign V992189 = V377146. assign V639330 = V970779. assign V025670 = V809212. assign V380711 = V900394 + 1. assign V514468 = V509466. assign V087941 = V635745. assign V231157 = V909499 + 1. assign V951274 = V756181. assign V982398 = V355701 + 1. assign V537038 = V232754. assign V465658 = V537038 + 1. assign V105241 = V269382 + 1. assign V635745 = V997567. assign V412364 = V282762. assign V629974 = V352146 - 1. assign V656113 = V951274 + 1. assign V900394 = V082233. assign V817305 = V025670. assign V039445 = V817305 - 1. assign V909499 = V263924 + 1. assign V335186 = V976166. assign V621359 = V938490. assign V142940 = V375819 - 1. assign V756181 = V697500 + 1. assign V998123 = V916967 - 1. assign V444084 = V456831 - 1. assign V354099 = V756181. assign V976166 = V145547. assign V807105 = V318682 + 1. assign V267490 = V059483. assign V115643 = V561664 - 1. assign V461956 = V198196 + 1. assign V742726 = V263924 + 1. assign V440225 = V900394 - 1. assign V601185 = V987748. assign V791690 = V906172 + 1. assign V905556 = V023730 - 1. assign V242848 = V722444 + 1. assign V180378 = V198196 - 1. assign V503587 = V538008 + 1. assign V271231 = V640308. assign V135953 = V441601 - 1. assign V888798 = V992189 + 1. assign V145547 = V997567. assign V624429 = V354099 + 1. assign V048849 = V640308 + 1. assign V377146 = V777859 + 1. assign V846907 = V282762 + 1. assign V447782 = V909499 - 1. assign V640308 = V656113. assign V987748 = V335186 - 1. assign V428188 = V377146 + 1. assign V422691 = V615597 + 1. assign V470599 = V428188 - 1. assign V008486 = V756181 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV297461 = 6;\n\nFrom these direct assignment(s), we have: \nV074134 = V297461 - 1 = 6 - 1 =5;\nNo other variables can be derived from V074134;\nNo other variables can be derived from V297461;\n\nNow we have done all the calculations. Derived variables are:\nV297461 = 6;\nV074134 = 5;\n\nNow we have finished this problem. ANSWER:\nV297461\n", "role": "assistant" } ]

[ "V905457" ]

[ { "content": "<context>\nassign V649069 = V900296 + 1. assign V859645 = V072454 + 1. assign V658131 = V812976 - 1. assign V475050 = V426103 + 1. assign V691449 = V838487 + 1. assign V945154 = V154216. assign V365464 = V881051 + 1. assign V246041 = V796495 - 1. assign V969343 = V787853. assign V606614 = V160699 + 1. assign V034980 = V962178 - 1. assign V683907 = V807081. assign V111670 = V606614 + 1. assign V787853 = V980121 + 1. assign V488404 = V775416 - 1. assign V084972 = V968304 - 1. assign V660167 = V230266 + 1. assign V315479 = V036486 - 1. assign V467266 = V223722. assign V699521 = V776025 - 1. assign V086711 = V595753 - 1. assign V980121 = V968304. assign V837629 = V174515. assign V766853 = V541080 + 1. assign V885021 = V255509 + 1. assign V072454 = V925496 + 1. assign V747046 = V844806. assign V899655 = V938837. assign V828630 = V243819 - 1. assign V938837 = V925496 + 1. assign V993354 = V138333 + 1. assign V925496 = V766853 - 1. assign V814327 = V361683 - 1. assign V036486 = V356011 - 1. assign V085867 = V242632 - 1. assign V509456 = V347593 - 1. assign V530368 = V784153 - 1. assign V812168 = V073774 + 1. assign V812013 = V807081. assign V250281 = V174515 - 1. assign V807081 = V325254 - 1. assign V900970 = V599647 + 1. assign V266275 = V968099 + 1. assign V968099 = V288056 + 1. assign V160699 = V243819. assign V506386 = V394495 - 1. assign V615069 = V885021 - 1. assign V796495 = V766853 + 1. assign V924086 = V104681. assign V230266 = V807081 + 1. assign V905457 = V392151 + 1. assign V343109 = V924086 + 1. assign V968304 = V706505 - 1. assign V954534 = V243819 + 1. assign V844806 = V361683 + 1. assign V288056 = V980121. assign V136104 = V885021. assign V562828 = V084972 + 1. assign V599647 = V706505 + 1. assign V962178 = V361683 + 1. assign V497673 = V085867 + 1. assign V273952 = V467266 + 1. assign V106111 = V666568 - 1. assign V416220 = V993354. assign V394495 = V706505 - 1. assign V078011 = V796495. assign V635657 = V812168 - 1. assign V742746 = V356011. assign V838487 = V315479 + 1. assign V138333 = V936040 + 1. assign V610266 = V925853 + 1. assign V279887 = V562828 - 1. assign V015215 = V125518 - 1. assign V381404 = V509456 + 1. assign V695923 = V247676. assign V784153 = V969343 - 1. assign V434295 = V541080 - 1. assign V800944 = V683907 - 1. assign V552212 = V898187 + 1. assign V334628 = V937370. assign V626330 = V223722 + 1. assign V246324 = V242632 - 1. assign V183692 = V898187 - 1. assign V793613 = V288056 + 1. assign V949008 = V509456. assign V059992 = V968304. assign V842289 = V104681 - 1. assign V608971 = V273952. assign V392151 = 9. assign V812976 = V242632 - 1. assign V111853 = V787853 - 1. assign V104681 = V509456 + 1. assign V655984 = V288056 - 1. assign V900296 = V325254 + 1. assign V595753 = V766853 - 1. assign V247676 = V842289 + 1. assign V558334 = V426103 - 1. assign V624552 = V059992 + 1. assign V073774 = V223722 + 1. assign V361683 = V706505 + 1. assign V898187 = V968304 + 1. assign V987891 = V668150. assign V189046 = V558334 + 1. assign V677547 = V468386. assign V285018 = V085867 - 1. assign V125518 = V900296. assign V347593 = V356011 + 1. assign V513428 = V189046. assign V925853 = V242632 - 1. assign V558752 = V683907 + 1. assign V541080 = V980121 - 1. assign V468386 = V658131 + 1. assign V328728 = V844806. assign V745015 = V059992 + 1. assign V418749 = V924317. assign V459681 = V255509 - 1. assign V797250 = V072454. assign V406060 = V111853 - 1. assign V325254 = V706505. assign V895918 = V747046 + 1. assign V938468 = V506386. assign V508538 = V530368 - 1. assign V172371 = V136104 + 1. assign V223722 = V900296 + 1. assign V174515 = V776025. assign V242632 = V325254 - 1. assign V243819 = V255509 - 1. assign V909172 = V776025. assign V149898 = V683907. assign V723745 = V084972 - 1. assign V738435 = V247676 + 1. assign V391930 = V488404. assign V142862 = V541080. assign V762067 = V936040. assign V752306 = V223722 + 1. assign V255509 = V142862. assign V589358 = V406060. assign V753625 = V142862 + 1. assign V874875 = V968099 + 1. assign V000134 = V706505 - 1. assign V832649 = V683907 - 1. assign V775416 = V969343 + 1. assign V936040 = V666568 - 1. assign V154216 = V812976. assign V937370 = V626330. assign V426103 = V900296 - 1. assign V776025 = V706505. assign V031487 = V183692. assign V518063 = V812168 + 1. assign V152481 = V315479 + 1. assign V831201 = V938837. assign V522215 = V426103 + 1. assign V256362 = V015215. assign V924317 = V812168. assign V881051 = V073774 - 1. assign V892257 = V084972. assign V548478 = V247676 - 1. assign V534333 = V154216 + 1. assign V495987 = V530368 + 1. assign V612234 = V668150 + 1. assign V666568 = V325254 - 1. assign V707565 = V842289 - 1. assign V356011 = V325254 + 1. assign V076717 = V328728 + 1. assign V651099 = V980121 - 1. assign V511430 = V247676 - 1. assign V312738 = V750507. assign V062528 = V844806 - 1. assign V668150 = V073774 - 1. assign V750507 = V658131 - 1. assign V217284 = V844806 + 1. assign V960529 = V925496.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V649069 = V900296 + 1. assign V859645 = V072454 + 1. assign V658131 = V812976 - 1. assign V475050 = V426103 + 1. assign V691449 = V838487 + 1. assign V945154 = V154216. assign V365464 = V881051 + 1. assign V246041 = V796495 - 1. assign V969343 = V787853. assign V606614 = V160699 + 1. assign V034980 = V962178 - 1. assign V683907 = V807081. assign V111670 = V606614 + 1. assign V787853 = V980121 + 1. assign V488404 = V775416 - 1. assign V084972 = V968304 - 1. assign V660167 = V230266 + 1. assign V315479 = V036486 - 1. assign V467266 = V223722. assign V699521 = V776025 - 1. assign V086711 = V595753 - 1. assign V980121 = V968304. assign V837629 = V174515. assign V766853 = V541080 + 1. assign V885021 = V255509 + 1. assign V072454 = V925496 + 1. assign V747046 = V844806. assign V899655 = V938837. assign V828630 = V243819 - 1. assign V938837 = V925496 + 1. assign V993354 = V138333 + 1. assign V925496 = V766853 - 1. assign V814327 = V361683 - 1. assign V036486 = V356011 - 1. assign V085867 = V242632 - 1. assign V509456 = V347593 - 1. assign V530368 = V784153 - 1. assign V812168 = V073774 + 1. assign V812013 = V807081. assign V250281 = V174515 - 1. assign V807081 = V325254 - 1. assign V900970 = V599647 + 1. assign V266275 = V968099 + 1. assign V968099 = V288056 + 1. assign V160699 = V243819. assign V506386 = V394495 - 1. assign V615069 = V885021 - 1. assign V796495 = V766853 + 1. assign V924086 = V104681. assign V230266 = V807081 + 1. assign V905457 = V392151 + 1. assign V343109 = V924086 + 1. assign V968304 = V706505 - 1. assign V954534 = V243819 + 1. assign V844806 = V361683 + 1. assign V288056 = V980121. assign V136104 = V885021. assign V562828 = V084972 + 1. assign V599647 = V706505 + 1. assign V962178 = V361683 + 1. assign V497673 = V085867 + 1. assign V273952 = V467266 + 1. assign V106111 = V666568 - 1. assign V416220 = V993354. assign V394495 = V706505 - 1. assign V078011 = V796495. assign V635657 = V812168 - 1. assign V742746 = V356011. assign V838487 = V315479 + 1. assign V138333 = V936040 + 1. assign V610266 = V925853 + 1. assign V279887 = V562828 - 1. assign V015215 = V125518 - 1. assign V381404 = V509456 + 1. assign V695923 = V247676. assign V784153 = V969343 - 1. assign V434295 = V541080 - 1. assign V800944 = V683907 - 1. assign V552212 = V898187 + 1. assign V334628 = V937370. assign V626330 = V223722 + 1. assign V246324 = V242632 - 1. assign V183692 = V898187 - 1. assign V793613 = V288056 + 1. assign V949008 = V509456. assign V059992 = V968304. assign V842289 = V104681 - 1. assign V608971 = V273952. assign V392151 = 9. assign V812976 = V242632 - 1. assign V111853 = V787853 - 1. assign V104681 = V509456 + 1. assign V655984 = V288056 - 1. assign V900296 = V325254 + 1. assign V595753 = V766853 - 1. assign V247676 = V842289 + 1. assign V558334 = V426103 - 1. assign V624552 = V059992 + 1. assign V073774 = V223722 + 1. assign V361683 = V706505 + 1. assign V898187 = V968304 + 1. assign V987891 = V668150. assign V189046 = V558334 + 1. assign V677547 = V468386. assign V285018 = V085867 - 1. assign V125518 = V900296. assign V347593 = V356011 + 1. assign V513428 = V189046. assign V925853 = V242632 - 1. assign V558752 = V683907 + 1. assign V541080 = V980121 - 1. assign V468386 = V658131 + 1. assign V328728 = V844806. assign V745015 = V059992 + 1. assign V418749 = V924317. assign V459681 = V255509 - 1. assign V797250 = V072454. assign V406060 = V111853 - 1. assign V325254 = V706505. assign V895918 = V747046 + 1. assign V938468 = V506386. assign V508538 = V530368 - 1. assign V172371 = V136104 + 1. assign V223722 = V900296 + 1. assign V174515 = V776025. assign V242632 = V325254 - 1. assign V243819 = V255509 - 1. assign V909172 = V776025. assign V149898 = V683907. assign V723745 = V084972 - 1. assign V738435 = V247676 + 1. assign V391930 = V488404. assign V142862 = V541080. assign V762067 = V936040. assign V752306 = V223722 + 1. assign V255509 = V142862. assign V589358 = V406060. assign V753625 = V142862 + 1. assign V874875 = V968099 + 1. assign V000134 = V706505 - 1. assign V832649 = V683907 - 1. assign V775416 = V969343 + 1. assign V936040 = V666568 - 1. assign V154216 = V812976. assign V937370 = V626330. assign V426103 = V900296 - 1. assign V776025 = V706505. assign V031487 = V183692. assign V518063 = V812168 + 1. assign V152481 = V315479 + 1. assign V831201 = V938837. assign V522215 = V426103 + 1. assign V256362 = V015215. assign V924317 = V812168. assign V881051 = V073774 - 1. assign V892257 = V084972. assign V548478 = V247676 - 1. assign V534333 = V154216 + 1. assign V495987 = V530368 + 1. assign V612234 = V668150 + 1. assign V666568 = V325254 - 1. assign V707565 = V842289 - 1. assign V356011 = V325254 + 1. assign V076717 = V328728 + 1. assign V651099 = V980121 - 1. assign V511430 = V247676 - 1. assign V312738 = V750507. assign V062528 = V844806 - 1. assign V668150 = V073774 - 1. assign V750507 = V658131 - 1. assign V217284 = V844806 + 1. assign V960529 = V925496.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV392151 = 9;\n\nFrom these direct assignment(s), we have: \nV905457 = V392151 + 1 = 9 + 1 =10;\nNo other variables can be derived from V905457;\nNo other variables can be derived from V392151;\n\nNow we have done all the calculations. Derived variables are:\nV392151 = 9;\nV905457 = 10;\n\nNow we have finished this problem. ANSWER:\nV905457\n", "role": "assistant" } ]

[ "V092598" ]

[ { "content": "<context>\nassign V880800 = V921922 - 1. assign V805204 = V320598 + 1. assign V276185 = V229508. assign V566684 = V270299 - 1. assign V322008 = V443948. assign V479946 = V662610 + 1. assign V943090 = V799079 + 1. assign V065246 = V443948 - 1. assign V823037 = V064723. assign V166280 = V991948 - 1. assign V219719 = V634161 + 1. assign V572848 = V092598 + 1. assign V663086 = V586121. assign V563957 = V017475 - 1. assign V152683 = V996993 - 1. assign V989179 = V229508. assign V282298 = V322008. assign V395285 = V428904 + 1. assign V671109 = V428904 + 1. assign V837665 = V015176. assign V646744 = V760617 + 1. assign V525606 = V541500 + 1. assign V771967 = V771417 - 1. assign V815681 = V386320. assign V059576 = V760041 + 1. assign V287954 = V696282. assign V502066 = V898826. assign V447871 = V265952. assign V296455 = V283052 + 1. assign V854943 = V983117 + 1. assign V404614 = V722671 - 1. assign V265952 = V400826 + 1. assign V190064 = V287174. assign V436111 = V320598. assign V342531 = V059576. assign V807634 = V712034 - 1. assign V309809 = V663457. assign V229508 = V662610 + 1. assign V116897 = V562746 + 1. assign V214016 = V921922. assign V917869 = V059576. assign V328834 = V925646 - 1. assign V027090 = V634207 + 1. assign V996993 = V634161 + 1. assign V634207 = V663086 + 1. assign V448686 = V787960 - 1. assign V457912 = V139450 + 1. assign V582894 = V443948. assign V128930 = V618598 - 1. assign V171148 = V320598. assign V347580 = V582894 + 1. assign V799079 = V229508 - 1. assign V662610 = V921922. assign V443948 = V674661. assign V907989 = V443948 + 1. assign V287174 = V320598 - 1. assign V991948 = V320598. assign V765018 = V586121 + 1. assign V861164 = V792880 + 1. assign V428904 = V796535. assign V061170 = V035183 - 1. assign V696282 = V519167 - 1. assign V634161 = V470142. assign V547247 = V787960 + 1. assign V734689 = V270299. assign V511725 = V214016 - 1. assign V102030 = V551684 + 1. assign V648906 = V957027 + 1. assign V092598 = 1. assign V957027 = V760041 - 1. assign V897301 = V957027. assign V651879 = V684079 - 1. assign V708905 = V479946 - 1. assign V184080 = V586121 + 1. assign V792880 = V448686 + 1. assign V501928 = V618598 + 1. assign V802438 = V760041 + 1. assign V771417 = V479946. assign V139450 = V562746 - 1. assign V681343 = V519167. assign V712034 = V216689 - 1. assign V983117 = V270299 - 1. assign V449258 = V837665 + 1. assign V908785 = V823037 + 1. assign V560869 = V184080 - 1. assign V320598 = V760041 + 1. assign V587500 = V428904 - 1. assign V261971 = V996993 + 1. assign V839867 = V502066 + 1. assign V074284 = V171148. assign V216689 = V662897 + 1. assign V175713 = V991948. assign V796535 = V017475 - 1. assign V445000 = V799079. assign V046662 = V674661 + 1. assign V461472 = V494479. assign V674661 = V563957 + 1. assign V015176 = V075143 + 1. assign V978959 = V798265 + 1. assign V872797 = V861692 + 1. assign V751063 = V674661. assign V662897 = V760041 + 1. assign V684079 = V428904. assign V895201 = V563957 - 1. assign V224536 = V432224 + 1. assign V586121 = V214016 - 1. assign V751390 = V035183. assign V470142 = V618598 + 1. assign V226716 = V015176 + 1. assign V861692 = V395285 + 1. assign V593674 = V320598 - 1. assign V728572 = V270299 + 1. assign V494479 = V242024 + 1. assign V808826 = V216689 - 1. assign V227998 = V017475 + 1. assign V075143 = V470142 + 1. assign V437692 = V662610 + 1. assign V021968 = V991948 - 1. assign V400826 = V242024 + 1. assign V655834 = V674661 + 1. assign V269024 = V837665. assign V242902 = V634161 - 1. assign V064723 = V242024 - 1. assign V898826 = V921922 + 1. assign V270299 = V662897 + 1. assign V806334 = V178158. assign V180955 = V760041. assign V217675 = V342531 + 1. assign V492996 = V435043 + 1. assign V254177 = V386320 + 1. assign V085553 = V061170. assign V435043 = V502066 + 1. assign V021149 = V479946. assign V257973 = V242024 - 1. assign V519167 = V563957 - 1. assign V925646 = V519167 + 1. assign V798265 = V519167 - 1. assign V386320 = V674661 + 1. assign V991588 = V287174. assign V895560 = V663086 + 1. assign V562746 = V898826 - 1. assign V760041 = V921922 + 1. assign V212901 = V943090. assign V432224 = V479946. assign V963394 = V895201. assign V667751 = V479946. assign V189924 = V059576 + 1. assign V894260 = V837665 + 1. assign V017475 = V662897. assign V512345 = V227998 - 1. assign V213538 = V470142 - 1. assign V551684 = V059576 - 1. assign V941144 = V224536 + 1. assign V106805 = V400826. assign V722671 = V837665. assign V004838 = V921922 - 1. assign V135030 = V563957. assign V283052 = V212901. assign V895914 = V634161 - 1. assign V196658 = V135030 + 1. assign V178158 = V771967 - 1. assign V035183 = V017475 - 1. assign V541500 = V674661 + 1. assign V064295 = V925646 - 1. assign V880570 = V017475 + 1. assign V242024 = V760041. assign V162626 = V435043. assign V663457 = V229508. assign V760617 = V395285. assign V787960 = V897301 - 1. assign V618598 = V898826 - 1. assign V701931 = V771417 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V880800 = V921922 - 1. assign V805204 = V320598 + 1. assign V276185 = V229508. assign V566684 = V270299 - 1. assign V322008 = V443948. assign V479946 = V662610 + 1. assign V943090 = V799079 + 1. assign V065246 = V443948 - 1. assign V823037 = V064723. assign V166280 = V991948 - 1. assign V219719 = V634161 + 1. assign V572848 = V092598 + 1. assign V663086 = V586121. assign V563957 = V017475 - 1. assign V152683 = V996993 - 1. assign V989179 = V229508. assign V282298 = V322008. assign V395285 = V428904 + 1. assign V671109 = V428904 + 1. assign V837665 = V015176. assign V646744 = V760617 + 1. assign V525606 = V541500 + 1. assign V771967 = V771417 - 1. assign V815681 = V386320. assign V059576 = V760041 + 1. assign V287954 = V696282. assign V502066 = V898826. assign V447871 = V265952. assign V296455 = V283052 + 1. assign V854943 = V983117 + 1. assign V404614 = V722671 - 1. assign V265952 = V400826 + 1. assign V190064 = V287174. assign V436111 = V320598. assign V342531 = V059576. assign V807634 = V712034 - 1. assign V309809 = V663457. assign V229508 = V662610 + 1. assign V116897 = V562746 + 1. assign V214016 = V921922. assign V917869 = V059576. assign V328834 = V925646 - 1. assign V027090 = V634207 + 1. assign V996993 = V634161 + 1. assign V634207 = V663086 + 1. assign V448686 = V787960 - 1. assign V457912 = V139450 + 1. assign V582894 = V443948. assign V128930 = V618598 - 1. assign V171148 = V320598. assign V347580 = V582894 + 1. assign V799079 = V229508 - 1. assign V662610 = V921922. assign V443948 = V674661. assign V907989 = V443948 + 1. assign V287174 = V320598 - 1. assign V991948 = V320598. assign V765018 = V586121 + 1. assign V861164 = V792880 + 1. assign V428904 = V796535. assign V061170 = V035183 - 1. assign V696282 = V519167 - 1. assign V634161 = V470142. assign V547247 = V787960 + 1. assign V734689 = V270299. assign V511725 = V214016 - 1. assign V102030 = V551684 + 1. assign V648906 = V957027 + 1. assign V092598 = 1. assign V957027 = V760041 - 1. assign V897301 = V957027. assign V651879 = V684079 - 1. assign V708905 = V479946 - 1. assign V184080 = V586121 + 1. assign V792880 = V448686 + 1. assign V501928 = V618598 + 1. assign V802438 = V760041 + 1. assign V771417 = V479946. assign V139450 = V562746 - 1. assign V681343 = V519167. assign V712034 = V216689 - 1. assign V983117 = V270299 - 1. assign V449258 = V837665 + 1. assign V908785 = V823037 + 1. assign V560869 = V184080 - 1. assign V320598 = V760041 + 1. assign V587500 = V428904 - 1. assign V261971 = V996993 + 1. assign V839867 = V502066 + 1. assign V074284 = V171148. assign V216689 = V662897 + 1. assign V175713 = V991948. assign V796535 = V017475 - 1. assign V445000 = V799079. assign V046662 = V674661 + 1. assign V461472 = V494479. assign V674661 = V563957 + 1. assign V015176 = V075143 + 1. assign V978959 = V798265 + 1. assign V872797 = V861692 + 1. assign V751063 = V674661. assign V662897 = V760041 + 1. assign V684079 = V428904. assign V895201 = V563957 - 1. assign V224536 = V432224 + 1. assign V586121 = V214016 - 1. assign V751390 = V035183. assign V470142 = V618598 + 1. assign V226716 = V015176 + 1. assign V861692 = V395285 + 1. assign V593674 = V320598 - 1. assign V728572 = V270299 + 1. assign V494479 = V242024 + 1. assign V808826 = V216689 - 1. assign V227998 = V017475 + 1. assign V075143 = V470142 + 1. assign V437692 = V662610 + 1. assign V021968 = V991948 - 1. assign V400826 = V242024 + 1. assign V655834 = V674661 + 1. assign V269024 = V837665. assign V242902 = V634161 - 1. assign V064723 = V242024 - 1. assign V898826 = V921922 + 1. assign V270299 = V662897 + 1. assign V806334 = V178158. assign V180955 = V760041. assign V217675 = V342531 + 1. assign V492996 = V435043 + 1. assign V254177 = V386320 + 1. assign V085553 = V061170. assign V435043 = V502066 + 1. assign V021149 = V479946. assign V257973 = V242024 - 1. assign V519167 = V563957 - 1. assign V925646 = V519167 + 1. assign V798265 = V519167 - 1. assign V386320 = V674661 + 1. assign V991588 = V287174. assign V895560 = V663086 + 1. assign V562746 = V898826 - 1. assign V760041 = V921922 + 1. assign V212901 = V943090. assign V432224 = V479946. assign V963394 = V895201. assign V667751 = V479946. assign V189924 = V059576 + 1. assign V894260 = V837665 + 1. assign V017475 = V662897. assign V512345 = V227998 - 1. assign V213538 = V470142 - 1. assign V551684 = V059576 - 1. assign V941144 = V224536 + 1. assign V106805 = V400826. assign V722671 = V837665. assign V004838 = V921922 - 1. assign V135030 = V563957. assign V283052 = V212901. assign V895914 = V634161 - 1. assign V196658 = V135030 + 1. assign V178158 = V771967 - 1. assign V035183 = V017475 - 1. assign V541500 = V674661 + 1. assign V064295 = V925646 - 1. assign V880570 = V017475 + 1. assign V242024 = V760041. assign V162626 = V435043. assign V663457 = V229508. assign V760617 = V395285. assign V787960 = V897301 - 1. assign V618598 = V898826 - 1. assign V701931 = V771417 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV092598 = 1;\n\nFrom these direct assignment(s), we have: \nV572848 = V092598 + 1 = 1 + 1 =2;\nNo other variables can be derived from V572848;\nNo other variables can be derived from V092598;\n\nNow we have done all the calculations. Derived variables are:\nV092598 = 1;\nV572848 = 2;\n\nNow we have finished this problem. ANSWER:\nV092598\n", "role": "assistant" } ]

[ "V771928" ]

[ { "content": "<context>\nassign V644899 = V481287 - 1. assign V803509 = V218928 - 1. assign V833871 = V507079 + 1. assign V812094 = V645673 + 1. assign V475203 = V050247. assign V724761 = V186365 + 1. assign V591267 = V039473 + 1. assign V448473 = V771928 + 1. assign V896151 = V474125 - 1. assign V466408 = V796244 + 1. assign V919373 = V507079. assign V650740 = V812094 - 1. assign V354245 = V373628 - 1. assign V185719 = V481287. assign V283433 = V839241. assign V284512 = V347228 - 1. assign V042035 = V568105 + 1. assign V561229 = V507079. assign V760551 = V919373. assign V779162 = V195839 - 1. assign V865706 = V814231. assign V011536 = V507079 + 1. assign V968034 = V295216. assign V814231 = V951411 + 1. assign V584765 = V531135. assign V496821 = V712694 - 1. assign V474125 = V109347 + 1. assign V255483 = V584765 - 1. assign V063519 = V507079. assign V365744 = V123243 - 1. assign V170299 = V109347. assign V315935 = V896151 - 1. assign V135940 = V833871. assign V965107 = V301050 + 1. assign V301050 = V173411 + 1. assign V010584 = V646104 - 1. assign V575013 = V699592. assign V974009 = V028439 + 1. assign V279659 = V202108 + 1. assign V531135 = V354245 - 1. assign V485861 = V313165 - 1. assign V339758 = V671031 - 1. assign V195839 = V474125 + 1. assign V333264 = V283433 - 1. assign V568973 = V103191 + 1. assign V873564 = V450928 + 1. assign V972887 = V059035. assign V646104 = V712694 - 1. assign V928020 = V766338 - 1. assign V173411 = V170299 - 1. assign V278001 = V717145. assign V060565 = V699592. assign V202108 = V278001 + 1. assign V449094 = V872819 + 1. assign V347228 = V485861 - 1. assign V792365 = V030046 + 1. assign V946675 = V396151 - 1. assign V631873 = V080138. assign V447066 = V468966 + 1. assign V750270 = V135940. assign V979657 = V006196 - 1. assign V028439 = V420330. assign V480686 = V699592. assign V652611 = V507079 - 1. assign V109347 = V313165. assign V753315 = V717145 + 1. assign V512370 = V284512 + 1. assign V602080 = V638231. assign V959914 = V476210. assign V089060 = V170299 - 1. assign V045924 = V103191 - 1. assign V218928 = V039473 - 1. assign V063745 = V474125 - 1. assign V890868 = V594607. assign V594607 = V279659 + 1. assign V041762 = V507079. assign V376587 = V120235 + 1. assign V207441 = V712694 + 1. assign V547407 = V480686. assign V976546 = V919373 + 1. assign V450928 = V485861 - 1. assign V729223 = V045924 + 1. assign V923019 = V011536 - 1. assign V123243 = V568973 - 1. assign V606096 = V919373 - 1. assign V567419 = V333264 + 1. assign V186365 = V354245 - 1. assign V420330 = V060565. assign V796244 = V257710. assign V137573 = V507079 - 1. assign V645673 = V438679. assign V227536 = V100885. assign V790147 = V872819. assign V396151 = V699592 - 1. assign V609361 = V347228 - 1. assign V984525 = V468966. assign V639850 = V974420 + 1. assign V824505 = V750270 - 1. assign V974420 = V468966 - 1. assign V635935 = V694961 - 1. assign V897578 = V109347 - 1. assign V080138 = V644899 + 1. assign V120235 = V699592 + 1. assign V852262 = V333264. assign V121816 = V792365 - 1. assign V839852 = V839241 + 1. assign V373628 = V109347 - 1. assign V712694 = V313165 - 1. assign V827794 = V447066. assign V169841 = V089060 + 1. assign V525160 = V917903 + 1. assign V481287 = V354245 + 1. assign V240096 = V760551 + 1. assign V365912 = V164925. assign V917903 = V476210 + 1. assign V039473 = V646104 - 1. assign V671031 = V186365 - 1. assign V975749 = V347228. assign V740458 = V354245 - 1. assign V041127 = V045924 + 1. assign V164925 = V947313 + 1. assign V468966 = V717145 + 1. assign V030046 = V507079. assign V765029 = V632307 - 1. assign V694961 = V278001 - 1. assign V947313 = V313165. assign V207154 = V063745 - 1. assign V328028 = V476210. assign V839241 = V646104 - 1. assign V799205 = V164925. assign V854640 = V923019 + 1. assign V632307 = V652611. assign V766338 = V137573. assign V772161 = V137573. assign V815453 = V512370 - 1. assign V699592 = V740458 - 1. assign V568105 = V947313 + 1. assign V871911 = V137573 - 1. assign V438679 = V109347. assign V717145 = V313165. assign V282248 = V310001 + 1. assign V059035 = V594607. assign V367164 = V045924 + 1. assign V459572 = V814231 + 1. assign V391910 = V103191 + 1. assign V975490 = V315935 + 1. assign V313171 = V459572 - 1. assign V507079 = V947313 + 1. assign V893151 = V951411 - 1. assign V775563 = V965107 + 1. assign V310001 = V951411 + 1. assign V257710 = V011536. assign V103191 = V468966 + 1. assign V293355 = V591267 + 1. assign V779862 = V186365 + 1. assign V951411 = V039473 + 1. assign V100885 = V295216 - 1. assign V109696 = V186365 + 1. assign V758814 = V584765 + 1. assign V638231 = V396151 - 1. assign V865378 = V531135 - 1. assign V050247 = V109347. assign V006196 = V218928 - 1. assign V771928 = 9. assign V444532 = V218928. assign V872819 = V481287. assign V476210 = V951411 + 1. assign V584383 = V729223 + 1. assign V674279 = V812094 + 1. assign V681476 = V310001 - 1. assign V288611 = V039473 - 1. assign V295216 = V354245 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V644899 = V481287 - 1. assign V803509 = V218928 - 1. assign V833871 = V507079 + 1. assign V812094 = V645673 + 1. assign V475203 = V050247. assign V724761 = V186365 + 1. assign V591267 = V039473 + 1. assign V448473 = V771928 + 1. assign V896151 = V474125 - 1. assign V466408 = V796244 + 1. assign V919373 = V507079. assign V650740 = V812094 - 1. assign V354245 = V373628 - 1. assign V185719 = V481287. assign V283433 = V839241. assign V284512 = V347228 - 1. assign V042035 = V568105 + 1. assign V561229 = V507079. assign V760551 = V919373. assign V779162 = V195839 - 1. assign V865706 = V814231. assign V011536 = V507079 + 1. assign V968034 = V295216. assign V814231 = V951411 + 1. assign V584765 = V531135. assign V496821 = V712694 - 1. assign V474125 = V109347 + 1. assign V255483 = V584765 - 1. assign V063519 = V507079. assign V365744 = V123243 - 1. assign V170299 = V109347. assign V315935 = V896151 - 1. assign V135940 = V833871. assign V965107 = V301050 + 1. assign V301050 = V173411 + 1. assign V010584 = V646104 - 1. assign V575013 = V699592. assign V974009 = V028439 + 1. assign V279659 = V202108 + 1. assign V531135 = V354245 - 1. assign V485861 = V313165 - 1. assign V339758 = V671031 - 1. assign V195839 = V474125 + 1. assign V333264 = V283433 - 1. assign V568973 = V103191 + 1. assign V873564 = V450928 + 1. assign V972887 = V059035. assign V646104 = V712694 - 1. assign V928020 = V766338 - 1. assign V173411 = V170299 - 1. assign V278001 = V717145. assign V060565 = V699592. assign V202108 = V278001 + 1. assign V449094 = V872819 + 1. assign V347228 = V485861 - 1. assign V792365 = V030046 + 1. assign V946675 = V396151 - 1. assign V631873 = V080138. assign V447066 = V468966 + 1. assign V750270 = V135940. assign V979657 = V006196 - 1. assign V028439 = V420330. assign V480686 = V699592. assign V652611 = V507079 - 1. assign V109347 = V313165. assign V753315 = V717145 + 1. assign V512370 = V284512 + 1. assign V602080 = V638231. assign V959914 = V476210. assign V089060 = V170299 - 1. assign V045924 = V103191 - 1. assign V218928 = V039473 - 1. assign V063745 = V474125 - 1. assign V890868 = V594607. assign V594607 = V279659 + 1. assign V041762 = V507079. assign V376587 = V120235 + 1. assign V207441 = V712694 + 1. assign V547407 = V480686. assign V976546 = V919373 + 1. assign V450928 = V485861 - 1. assign V729223 = V045924 + 1. assign V923019 = V011536 - 1. assign V123243 = V568973 - 1. assign V606096 = V919373 - 1. assign V567419 = V333264 + 1. assign V186365 = V354245 - 1. assign V420330 = V060565. assign V796244 = V257710. assign V137573 = V507079 - 1. assign V645673 = V438679. assign V227536 = V100885. assign V790147 = V872819. assign V396151 = V699592 - 1. assign V609361 = V347228 - 1. assign V984525 = V468966. assign V639850 = V974420 + 1. assign V824505 = V750270 - 1. assign V974420 = V468966 - 1. assign V635935 = V694961 - 1. assign V897578 = V109347 - 1. assign V080138 = V644899 + 1. assign V120235 = V699592 + 1. assign V852262 = V333264. assign V121816 = V792365 - 1. assign V839852 = V839241 + 1. assign V373628 = V109347 - 1. assign V712694 = V313165 - 1. assign V827794 = V447066. assign V169841 = V089060 + 1. assign V525160 = V917903 + 1. assign V481287 = V354245 + 1. assign V240096 = V760551 + 1. assign V365912 = V164925. assign V917903 = V476210 + 1. assign V039473 = V646104 - 1. assign V671031 = V186365 - 1. assign V975749 = V347228. assign V740458 = V354245 - 1. assign V041127 = V045924 + 1. assign V164925 = V947313 + 1. assign V468966 = V717145 + 1. assign V030046 = V507079. assign V765029 = V632307 - 1. assign V694961 = V278001 - 1. assign V947313 = V313165. assign V207154 = V063745 - 1. assign V328028 = V476210. assign V839241 = V646104 - 1. assign V799205 = V164925. assign V854640 = V923019 + 1. assign V632307 = V652611. assign V766338 = V137573. assign V772161 = V137573. assign V815453 = V512370 - 1. assign V699592 = V740458 - 1. assign V568105 = V947313 + 1. assign V871911 = V137573 - 1. assign V438679 = V109347. assign V717145 = V313165. assign V282248 = V310001 + 1. assign V059035 = V594607. assign V367164 = V045924 + 1. assign V459572 = V814231 + 1. assign V391910 = V103191 + 1. assign V975490 = V315935 + 1. assign V313171 = V459572 - 1. assign V507079 = V947313 + 1. assign V893151 = V951411 - 1. assign V775563 = V965107 + 1. assign V310001 = V951411 + 1. assign V257710 = V011536. assign V103191 = V468966 + 1. assign V293355 = V591267 + 1. assign V779862 = V186365 + 1. assign V951411 = V039473 + 1. assign V100885 = V295216 - 1. assign V109696 = V186365 + 1. assign V758814 = V584765 + 1. assign V638231 = V396151 - 1. assign V865378 = V531135 - 1. assign V050247 = V109347. assign V006196 = V218928 - 1. assign V771928 = 9. assign V444532 = V218928. assign V872819 = V481287. assign V476210 = V951411 + 1. assign V584383 = V729223 + 1. assign V674279 = V812094 + 1. assign V681476 = V310001 - 1. assign V288611 = V039473 - 1. assign V295216 = V354245 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV771928 = 9;\n\nFrom these direct assignment(s), we have: \nV448473 = V771928 + 1 = 9 + 1 =10;\nNo other variables can be derived from V448473;\nNo other variables can be derived from V771928;\n\nNow we have done all the calculations. Derived variables are:\nV771928 = 9;\nV448473 = 10;\n\nNow we have finished this problem. ANSWER:\nV771928\n", "role": "assistant" } ]

[ "V159983", "V637391" ]

[ { "content": "<context>\nassign V688055 = V561117 + 1. assign V359314 = V414794. assign V830766 = V173830 - 1. assign V683978 = V014034. assign V598142 = V980615 - 1. assign V758705 = V941263. assign V296638 = V046855 + 1. assign V287317 = V687908 - 1. assign V091112 = V035274 + 1. assign V054108 = V526444 - 1. assign V286069 = V453392. assign V251511 = V980615 - 1. assign V498691 = V128517 + 1. assign V524273 = V093058 - 1. assign V144572 = V083839. assign V756031 = V493086. assign V093058 = V150025 + 1. assign V142512 = V494425 + 1. assign V959207 = V062635 + 1. assign V069879 = V089422. assign V778945 = V287317. assign V128517 = V946986 - 1. assign V832503 = V046855 - 1. assign V453392 = V830766 + 1. assign V173830 = V834578 - 1. assign V333906 = V332809 + 1. assign V702011 = V147691. assign V159896 = V868830. assign V834578 = V526444 - 1. assign V331934 = V093058 - 1. assign V169066 = V083839. assign V665941 = V267204 - 1. assign V355214 = V868830. assign V748052 = V665941. assign V697123 = V027362. assign V637391 = V159983. assign V820314 = V769632. assign V027362 = V665941 + 1. assign V550479 = V889931 - 1. assign V989003 = V941263 - 1. assign V414794 = V267204. assign V862838 = V267204. assign V604101 = V533625. assign V545532 = V824951. assign V658498 = V279481 + 1. assign V368789 = V147333 + 1. assign V380400 = V900259 + 1. assign V353030 = V204223 - 1. assign V843895 = V830766. assign V732528 = V212944. assign V358560 = V843545. assign V047125 = V868830 + 1. assign V991329 = V826951 - 1. assign V747091 = V581443 + 1. assign V526444 = V665941 - 1. assign V433660 = V035274 + 1. assign V303557 = V147333. assign V520621 = V091112. assign V927088 = V093058 - 1. assign V518698 = V843895 - 1. assign V702147 = V295115 + 1. assign V375781 = V793515. assign V910841 = V748052 + 1. assign V630510 = V708312 + 1. assign V898810 = V494425 - 1. assign V379479 = V564776 + 1. assign V474038 = V191900 + 1. assign V731557 = V295115 + 1. assign V194660 = V414794. assign V946986 = V667785 + 1. assign V295115 = V303557 + 1. assign V097621 = V604101 + 1. assign V824951 = V083839 + 1. assign V963400 = V267204 - 1. assign V332809 = V697123. assign V986418 = V041277 + 1. assign V912693 = V524273 - 1. assign V669960 = V286069 - 1. assign V806606 = V868830 + 1. assign V708312 = V524273. assign V159927 = V526444. assign V803025 = V545532 - 1. assign V925763 = V564325 - 1. assign V716268 = V834578 - 1. assign V183301 = V769632 - 1. assign V891809 = V147333. assign V135814 = V380400 - 1. assign V041277 = V706953 - 1. assign V494425 = V665941 + 1. assign V793515 = V747091 - 1. assign V734815 = V946986. assign V140356 = V687908 - 1. assign V590117 = V424138 + 1. assign V743378 = V639068 + 1. assign V641821 = V896289 - 1. assign V035274 = V533625. assign V667785 = V526444. assign V228578 = V474038 + 1. assign V212492 = V303557 - 1. assign V147691 = V834578 - 1. assign V161798 = V843895. assign V191900 = V083839. assign V062635 = V331934 - 1. assign V347903 = V482411 - 1. assign V780130 = V169066 - 1. assign V818492 = V912693 - 1. assign V267204 = V769632 + 1. assign V533625 = V472800 - 1. assign V532674 = V864751 - 1. assign V147333 = V212944 + 1. assign V564325 = V379479 - 1. assign V639068 = V144572. assign V687908 = V169066 + 1. assign V150025 = V581443 + 1. assign V811633 = V414794 + 1. assign V917713 = V941263. assign V117446 = V889931 + 1. assign V279481 = V493086 + 1. assign V472800 = V093058. assign V626605 = V097621 + 1. assign V014034 = V212944 - 1. assign V564776 = V332809 - 1. assign V204223 = V526444 - 1. assign V896289 = V550479. assign V826951 = V793515 + 1. assign V804341 = V212944. assign V759971 = V494425 - 1. assign V287459 = V174052 + 1. assign V690275 = V581443. assign V868830 = V533625 - 1. assign V864751 = V793515 + 1. assign V451929 = V331934 + 1. assign V551624 = V047125 + 1. assign V269027 = V706953 - 1. assign V159983 = 6. assign V748882 = V747091 + 1. assign V049552 = V014034. assign V290347 = V150025 + 1. assign V880052 = V169066 + 1. assign V033175 = V948421 - 1. assign V350944 = V331934. assign V941263 = V793515 - 1. assign V046855 = V758705 + 1. assign V948421 = V215577 - 1. assign V889931 = V980615 + 1. assign V596821 = V494425 + 1. assign V482411 = V212944 + 1. assign V843545 = V533625 + 1. assign V083839 = V414794. assign V169570 = V308937. assign V215577 = V748052 + 1. assign V094327 = V843545. assign V611228 = V864751. assign V089422 = V493086. assign V854524 = V756031. assign V384713 = V279481. assign V424138 = V204223 + 1. assign V581443 = V267204 - 1. assign V174052 = V687908 - 1. assign V927325 = V089422. assign V900259 = V769632 - 1. assign V881372 = V424138 - 1. assign V212944 = V267204 + 1. assign V561117 = V014034 - 1. assign V882413 = V581443 - 1. assign V308937 = V641821 + 1. assign V754109 = V027362. assign V980615 = V212944 + 1. assign V053275 = V033175. assign V493086 = V793515 + 1. assign V782678 = V864751 - 1. assign V706953 = V093058 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V688055 = V561117 + 1. assign V359314 = V414794. assign V830766 = V173830 - 1. assign V683978 = V014034. assign V598142 = V980615 - 1. assign V758705 = V941263. assign V296638 = V046855 + 1. assign V287317 = V687908 - 1. assign V091112 = V035274 + 1. assign V054108 = V526444 - 1. assign V286069 = V453392. assign V251511 = V980615 - 1. assign V498691 = V128517 + 1. assign V524273 = V093058 - 1. assign V144572 = V083839. assign V756031 = V493086. assign V093058 = V150025 + 1. assign V142512 = V494425 + 1. assign V959207 = V062635 + 1. assign V069879 = V089422. assign V778945 = V287317. assign V128517 = V946986 - 1. assign V832503 = V046855 - 1. assign V453392 = V830766 + 1. assign V173830 = V834578 - 1. assign V333906 = V332809 + 1. assign V702011 = V147691. assign V159896 = V868830. assign V834578 = V526444 - 1. assign V331934 = V093058 - 1. assign V169066 = V083839. assign V665941 = V267204 - 1. assign V355214 = V868830. assign V748052 = V665941. assign V697123 = V027362. assign V637391 = V159983. assign V820314 = V769632. assign V027362 = V665941 + 1. assign V550479 = V889931 - 1. assign V989003 = V941263 - 1. assign V414794 = V267204. assign V862838 = V267204. assign V604101 = V533625. assign V545532 = V824951. assign V658498 = V279481 + 1. assign V368789 = V147333 + 1. assign V380400 = V900259 + 1. assign V353030 = V204223 - 1. assign V843895 = V830766. assign V732528 = V212944. assign V358560 = V843545. assign V047125 = V868830 + 1. assign V991329 = V826951 - 1. assign V747091 = V581443 + 1. assign V526444 = V665941 - 1. assign V433660 = V035274 + 1. assign V303557 = V147333. assign V520621 = V091112. assign V927088 = V093058 - 1. assign V518698 = V843895 - 1. assign V702147 = V295115 + 1. assign V375781 = V793515. assign V910841 = V748052 + 1. assign V630510 = V708312 + 1. assign V898810 = V494425 - 1. assign V379479 = V564776 + 1. assign V474038 = V191900 + 1. assign V731557 = V295115 + 1. assign V194660 = V414794. assign V946986 = V667785 + 1. assign V295115 = V303557 + 1. assign V097621 = V604101 + 1. assign V824951 = V083839 + 1. assign V963400 = V267204 - 1. assign V332809 = V697123. assign V986418 = V041277 + 1. assign V912693 = V524273 - 1. assign V669960 = V286069 - 1. assign V806606 = V868830 + 1. assign V708312 = V524273. assign V159927 = V526444. assign V803025 = V545532 - 1. assign V925763 = V564325 - 1. assign V716268 = V834578 - 1. assign V183301 = V769632 - 1. assign V891809 = V147333. assign V135814 = V380400 - 1. assign V041277 = V706953 - 1. assign V494425 = V665941 + 1. assign V793515 = V747091 - 1. assign V734815 = V946986. assign V140356 = V687908 - 1. assign V590117 = V424138 + 1. assign V743378 = V639068 + 1. assign V641821 = V896289 - 1. assign V035274 = V533625. assign V667785 = V526444. assign V228578 = V474038 + 1. assign V212492 = V303557 - 1. assign V147691 = V834578 - 1. assign V161798 = V843895. assign V191900 = V083839. assign V062635 = V331934 - 1. assign V347903 = V482411 - 1. assign V780130 = V169066 - 1. assign V818492 = V912693 - 1. assign V267204 = V769632 + 1. assign V533625 = V472800 - 1. assign V532674 = V864751 - 1. assign V147333 = V212944 + 1. assign V564325 = V379479 - 1. assign V639068 = V144572. assign V687908 = V169066 + 1. assign V150025 = V581443 + 1. assign V811633 = V414794 + 1. assign V917713 = V941263. assign V117446 = V889931 + 1. assign V279481 = V493086 + 1. assign V472800 = V093058. assign V626605 = V097621 + 1. assign V014034 = V212944 - 1. assign V564776 = V332809 - 1. assign V204223 = V526444 - 1. assign V896289 = V550479. assign V826951 = V793515 + 1. assign V804341 = V212944. assign V759971 = V494425 - 1. assign V287459 = V174052 + 1. assign V690275 = V581443. assign V868830 = V533625 - 1. assign V864751 = V793515 + 1. assign V451929 = V331934 + 1. assign V551624 = V047125 + 1. assign V269027 = V706953 - 1. assign V159983 = 6. assign V748882 = V747091 + 1. assign V049552 = V014034. assign V290347 = V150025 + 1. assign V880052 = V169066 + 1. assign V033175 = V948421 - 1. assign V350944 = V331934. assign V941263 = V793515 - 1. assign V046855 = V758705 + 1. assign V948421 = V215577 - 1. assign V889931 = V980615 + 1. assign V596821 = V494425 + 1. assign V482411 = V212944 + 1. assign V843545 = V533625 + 1. assign V083839 = V414794. assign V169570 = V308937. assign V215577 = V748052 + 1. assign V094327 = V843545. assign V611228 = V864751. assign V089422 = V493086. assign V854524 = V756031. assign V384713 = V279481. assign V424138 = V204223 + 1. assign V581443 = V267204 - 1. assign V174052 = V687908 - 1. assign V927325 = V089422. assign V900259 = V769632 - 1. assign V881372 = V424138 - 1. assign V212944 = V267204 + 1. assign V561117 = V014034 - 1. assign V882413 = V581443 - 1. assign V308937 = V641821 + 1. assign V754109 = V027362. assign V980615 = V212944 + 1. assign V053275 = V033175. assign V493086 = V793515 + 1. assign V782678 = V864751 - 1. assign V706953 = V093058 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV159983 = 6;\n\nFrom these direct assignment(s), we have: \nV637391 = V159983 = 6;\nNo other variables can be derived from V637391;\nNo other variables can be derived from V159983;\n\nNow we have done all the calculations. Derived variables are:\nV159983 = 6;\nV637391 = 6;\n\nNow we have finished this problem. ANSWER:\nV159983, V637391\n", "role": "assistant" } ]

[ "V127704", "V735496" ]

[ { "content": "<context>\nassign V182536 = V621769 + 1. assign V011261 = V727902 + 1. assign V111062 = V280026. assign V561465 = V500004. assign V853556 = V583885. assign V613012 = V917104. assign V501390 = V067955 - 1. assign V723276 = V921526 - 1. assign V473484 = V570627 + 1. assign V574612 = V090912 + 1. assign V194288 = V348333. assign V572568 = V479777 - 1. assign V638540 = V172169 - 1. assign V302827 = V182536 - 1. assign V711103 = V500004. assign V771607 = V424228 + 1. assign V256676 = V917104 + 1. assign V569366 = V951816. assign V917104 = V069071 - 1. assign V427732 = V681859 + 1. assign V872651 = V194288 - 1. assign V989716 = V570627 - 1. assign V300555 = V970574 - 1. assign V673979 = V570627 - 1. assign V546978 = V111062 - 1. assign V641799 = V376529. assign V376529 = V090912 - 1. assign V802973 = V970574. assign V254288 = V508416 + 1. assign V280026 = V140991 + 1. assign V938338 = V663485. assign V792292 = V514752 - 1. assign V977052 = V069071 + 1. assign V865270 = V583885 + 1. assign V053883 = V768267 + 1. assign V983789 = V561465 - 1. assign V107042 = V011261 - 1. assign V681859 = V711103 - 1. assign V789978 = V144369. assign V889522 = V977288 + 1. assign V355200 = V111062 + 1. assign V239263 = V768267 + 1. assign V315893 = V034267 - 1. assign V127704 = 8. assign V514752 = V727902. assign V472514 = V442122 - 1. assign V150985 = V302827. assign V768267 = V152085 - 1. assign V225712 = V818542 + 1. assign V818542 = V673979. assign V140991 = V500004. assign V124204 = V872651 - 1. assign V170236 = V989716 + 1. assign V222315 = V865270 + 1. assign V010667 = V663485 - 1. assign V660622 = V951816 - 1. assign V566989 = V443976. assign V034267 = V813497. assign V135023 = V711103. assign V065567 = V345327. assign V479777 = V053883. assign V172459 = V914878. assign V800056 = V677666 - 1. assign V008705 = V034267 + 1. assign V977288 = V554740 + 1. assign V288915 = V501390 - 1. assign V061161 = V853556 - 1. assign V442122 = V514752 - 1. assign V920646 = V443976 - 1. assign V428911 = V938338 - 1. assign V151869 = V300555 - 1. assign V528872 = V144369 + 1. assign V996615 = V424228 + 1. assign V970574 = V182536. assign V067557 = V262347 - 1. assign V035797 = V442122 + 1. assign V600991 = V079285 - 1. assign V557583 = V977052. assign V601478 = V789978. assign V663485 = V666642 - 1. assign V211736 = V993368 - 1. assign V288619 = V549118 - 1. assign V468324 = V011261 - 1. assign V478958 = V899836 - 1. assign V391569 = V771607. assign V993368 = V821926. assign V972432 = V920646 + 1. assign V287981 = V182536 - 1. assign V570477 = V523108 - 1. assign V990147 = V802973 + 1. assign V021846 = V920646 - 1. assign V416733 = V500004 + 1. assign V067955 = V345327 + 1. assign V267777 = V834273 - 1. assign V504318 = V574612 + 1. assign V621769 = V144369 + 1. assign V400287 = V853556 + 1. assign V218763 = V663485 - 1. assign V027557 = V845073 - 1. assign V960780 = V011261 + 1. assign V727902 = V500004 + 1. assign V666820 = V977288 + 1. assign V471494 = V813497. assign V917914 = V011261 - 1. assign V967110 = V443976 - 1. assign V830929 = V818542 - 1. assign V530215 = V566989 - 1. assign V705250 = V107042 - 1. assign V554740 = V144369 - 1. assign V914878 = V037253 - 1. assign V900762 = V727902 + 1. assign V546999 = V792292. assign V428768 = V288619 - 1. assign V666642 = V977288 - 1. assign V164859 = V140991 - 1. assign V799983 = V865270 - 1. assign V813497 = V845073. assign V767805 = V853556 - 1. assign V508416 = V583885 + 1. assign V112408 = V262347 - 1. assign V348333 = V027557. assign V836222 = V397712 + 1. assign V951816 = V711103 + 1. assign V397712 = V834273 - 1. assign V358332 = V194288 - 1. assign V345327 = V727902 + 1. assign V921526 = V111062 - 1. assign V995780 = V621769. assign V172169 = V554740. assign V424228 = V107042 + 1. assign V151223 = V056992 + 1. assign V989878 = V107042 + 1. assign V739572 = V671523 - 1. assign V144572 = V500004 - 1. assign V164618 = V182536 - 1. assign V214643 = V262347. assign V876556 = V834273. assign V834273 = V900762. assign V671523 = V899836 - 1. assign V523108 = V768267 + 1. assign V393830 = V711103 + 1. assign V152085 = V500004. assign V090912 = V500004 - 1. assign V912383 = V471494 - 1. assign V657156 = V112408 - 1. assign V571801 = V530215. assign V009844 = V583885. assign V821926 = V315893 - 1. assign V583885 = V727902 - 1. assign V677666 = V705250. assign V079285 = V442122 + 1. assign V481789 = V300555 + 1. assign V570627 = V182536. assign V899836 = V865270. assign V203131 = V256676. assign V443976 = V514752 + 1. assign V501923 = V508416 + 1. assign V069071 = V144369 - 1. assign V845073 = V554740 + 1. assign V144369 = V727902. assign V012847 = V222315. assign V099844 = V983789. assign V056992 = V723276. assign V037253 = V011261 - 1. assign V549118 = V813497 + 1. assign V406771 = V813497 - 1. assign V045618 = V845073 + 1. assign V625798 = V666820 + 1. assign V735496 = V127704. assign V262347 = V069071. assign V376270 = V111062 - 1. assign V349267 = V009844 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V182536 = V621769 + 1. assign V011261 = V727902 + 1. assign V111062 = V280026. assign V561465 = V500004. assign V853556 = V583885. assign V613012 = V917104. assign V501390 = V067955 - 1. assign V723276 = V921526 - 1. assign V473484 = V570627 + 1. assign V574612 = V090912 + 1. assign V194288 = V348333. assign V572568 = V479777 - 1. assign V638540 = V172169 - 1. assign V302827 = V182536 - 1. assign V711103 = V500004. assign V771607 = V424228 + 1. assign V256676 = V917104 + 1. assign V569366 = V951816. assign V917104 = V069071 - 1. assign V427732 = V681859 + 1. assign V872651 = V194288 - 1. assign V989716 = V570627 - 1. assign V300555 = V970574 - 1. assign V673979 = V570627 - 1. assign V546978 = V111062 - 1. assign V641799 = V376529. assign V376529 = V090912 - 1. assign V802973 = V970574. assign V254288 = V508416 + 1. assign V280026 = V140991 + 1. assign V938338 = V663485. assign V792292 = V514752 - 1. assign V977052 = V069071 + 1. assign V865270 = V583885 + 1. assign V053883 = V768267 + 1. assign V983789 = V561465 - 1. assign V107042 = V011261 - 1. assign V681859 = V711103 - 1. assign V789978 = V144369. assign V889522 = V977288 + 1. assign V355200 = V111062 + 1. assign V239263 = V768267 + 1. assign V315893 = V034267 - 1. assign V127704 = 8. assign V514752 = V727902. assign V472514 = V442122 - 1. assign V150985 = V302827. assign V768267 = V152085 - 1. assign V225712 = V818542 + 1. assign V818542 = V673979. assign V140991 = V500004. assign V124204 = V872651 - 1. assign V170236 = V989716 + 1. assign V222315 = V865270 + 1. assign V010667 = V663485 - 1. assign V660622 = V951816 - 1. assign V566989 = V443976. assign V034267 = V813497. assign V135023 = V711103. assign V065567 = V345327. assign V479777 = V053883. assign V172459 = V914878. assign V800056 = V677666 - 1. assign V008705 = V034267 + 1. assign V977288 = V554740 + 1. assign V288915 = V501390 - 1. assign V061161 = V853556 - 1. assign V442122 = V514752 - 1. assign V920646 = V443976 - 1. assign V428911 = V938338 - 1. assign V151869 = V300555 - 1. assign V528872 = V144369 + 1. assign V996615 = V424228 + 1. assign V970574 = V182536. assign V067557 = V262347 - 1. assign V035797 = V442122 + 1. assign V600991 = V079285 - 1. assign V557583 = V977052. assign V601478 = V789978. assign V663485 = V666642 - 1. assign V211736 = V993368 - 1. assign V288619 = V549118 - 1. assign V468324 = V011261 - 1. assign V478958 = V899836 - 1. assign V391569 = V771607. assign V993368 = V821926. assign V972432 = V920646 + 1. assign V287981 = V182536 - 1. assign V570477 = V523108 - 1. assign V990147 = V802973 + 1. assign V021846 = V920646 - 1. assign V416733 = V500004 + 1. assign V067955 = V345327 + 1. assign V267777 = V834273 - 1. assign V504318 = V574612 + 1. assign V621769 = V144369 + 1. assign V400287 = V853556 + 1. assign V218763 = V663485 - 1. assign V027557 = V845073 - 1. assign V960780 = V011261 + 1. assign V727902 = V500004 + 1. assign V666820 = V977288 + 1. assign V471494 = V813497. assign V917914 = V011261 - 1. assign V967110 = V443976 - 1. assign V830929 = V818542 - 1. assign V530215 = V566989 - 1. assign V705250 = V107042 - 1. assign V554740 = V144369 - 1. assign V914878 = V037253 - 1. assign V900762 = V727902 + 1. assign V546999 = V792292. assign V428768 = V288619 - 1. assign V666642 = V977288 - 1. assign V164859 = V140991 - 1. assign V799983 = V865270 - 1. assign V813497 = V845073. assign V767805 = V853556 - 1. assign V508416 = V583885 + 1. assign V112408 = V262347 - 1. assign V348333 = V027557. assign V836222 = V397712 + 1. assign V951816 = V711103 + 1. assign V397712 = V834273 - 1. assign V358332 = V194288 - 1. assign V345327 = V727902 + 1. assign V921526 = V111062 - 1. assign V995780 = V621769. assign V172169 = V554740. assign V424228 = V107042 + 1. assign V151223 = V056992 + 1. assign V989878 = V107042 + 1. assign V739572 = V671523 - 1. assign V144572 = V500004 - 1. assign V164618 = V182536 - 1. assign V214643 = V262347. assign V876556 = V834273. assign V834273 = V900762. assign V671523 = V899836 - 1. assign V523108 = V768267 + 1. assign V393830 = V711103 + 1. assign V152085 = V500004. assign V090912 = V500004 - 1. assign V912383 = V471494 - 1. assign V657156 = V112408 - 1. assign V571801 = V530215. assign V009844 = V583885. assign V821926 = V315893 - 1. assign V583885 = V727902 - 1. assign V677666 = V705250. assign V079285 = V442122 + 1. assign V481789 = V300555 + 1. assign V570627 = V182536. assign V899836 = V865270. assign V203131 = V256676. assign V443976 = V514752 + 1. assign V501923 = V508416 + 1. assign V069071 = V144369 - 1. assign V845073 = V554740 + 1. assign V144369 = V727902. assign V012847 = V222315. assign V099844 = V983789. assign V056992 = V723276. assign V037253 = V011261 - 1. assign V549118 = V813497 + 1. assign V406771 = V813497 - 1. assign V045618 = V845073 + 1. assign V625798 = V666820 + 1. assign V735496 = V127704. assign V262347 = V069071. assign V376270 = V111062 - 1. assign V349267 = V009844 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV127704 = 8;\n\nFrom these direct assignment(s), we have: \nV735496 = V127704 = 8;\nNo other variables can be derived from V735496;\nNo other variables can be derived from V127704;\n\nNow we have done all the calculations. Derived variables are:\nV127704 = 8;\nV735496 = 8;\n\nNow we have finished this problem. ANSWER:\nV127704, V735496\n", "role": "assistant" } ]

[ "V269830", "V496016" ]

[ { "content": "<context>\nassign V569627 = V349827. assign V349827 = V490502. assign V406789 = V055582 + 1. assign V318872 = V954042 - 1. assign V828185 = V983000 - 1. assign V979250 = V490502. assign V650614 = V837447 - 1. assign V252770 = V902095. assign V015554 = V481557. assign V487241 = V048313 + 1. assign V274338 = V312221. assign V976576 = V283955 - 1. assign V877936 = V006023 - 1. assign V023833 = V152163 - 1. assign V645980 = V105840 + 1. assign V547242 = V015170 + 1. assign V237175 = V221521. assign V454352 = V547242 - 1. assign V320103 = V349827 + 1. assign V490502 = V312221. assign V574999 = V756615. assign V881266 = V237175 + 1. assign V560212 = V326631. assign V939748 = V604726 - 1. assign V216648 = V954042 + 1. assign V708726 = V365868. assign V187364 = V349827 - 1. assign V008960 = V255092 - 1. assign V245803 = V597393. assign V081231 = V569627 + 1. assign V447277 = V471904. assign V978531 = V105840 - 1. assign V633653 = V569627 + 1. assign V829263 = V162466 + 1. assign V303062 = V978119 + 1. assign V942623 = V969608 + 1. assign V363910 = V048313 - 1. assign V604726 = V490502. assign V420789 = V983000 + 1. assign V428369 = V326631. assign V286721 = V349827. assign V902095 = V865022 + 1. assign V825607 = V757148. assign V747052 = V683603 - 1. assign V954042 = V006023 - 1. assign V464407 = V363910 + 1. assign V116799 = V312221 + 1. assign V132988 = V569627 - 1. assign V976323 = V954042 + 1. assign V555871 = V502453 - 1. assign V693509 = V837447. assign V406900 = V365868 + 1. assign V030873 = V776521 - 1. assign V465821 = V152163. assign V692497 = V553339 - 1. assign V337081 = V221521. assign V675104 = V187364. assign V663110 = V983000 - 1. assign V750120 = V641129 + 1. assign V826802 = V187364 + 1. assign V031784 = V267966 - 1. assign V868682 = V258554. assign V048313 = V023833 + 1. assign V256004 = V997013. assign V978119 = V712468 - 1. assign V675484 = V633653 + 1. assign V466353 = V274338. assign V630493 = V739519. assign V088194 = V574999. assign V683603 = V877936. assign V509730 = V255092 + 1. assign V162466 = V837447. assign V205988 = V221521. assign V055582 = V650614. assign V635921 = V365868 - 1. assign V134461 = V635921 - 1. assign V589703 = V487241. assign V748312 = V388406 + 1. assign V589019 = V650614 + 1. assign V983000 = V683603 + 1. assign V973298 = V683603. assign V170443 = V855861 + 1. assign V748432 = V132988. assign V152163 = V312221 - 1. assign V483097 = V490502 + 1. assign V997013 = V363910 + 1. assign V269830 = 3. assign V240924 = V881266. assign V734270 = V187364 - 1. assign V258554 = V747052 + 1. assign V205204 = V349827. assign V937276 = V650640 + 1. assign V732714 = V006023 + 1. assign V156055 = V466353 - 1. assign V879651 = V529358 + 1. assign V904333 = V976323 + 1. assign V253639 = V023833 - 1. assign V553339 = V152163. assign V779849 = V286721 + 1. assign V368131 = V633653 - 1. assign V550838 = V487241. assign V756615 = V589019. assign V529358 = V274338. assign V183619 = V693509. assign V312221 = V365868 + 1. assign V481557 = V258554. assign V496417 = V904333 - 1. assign V207318 = V877936 + 1. assign V126532 = V865022 + 1. assign V502453 = V152163 - 1. assign V330568 = V006023 - 1. assign V385033 = V829263 - 1. assign V951820 = V048313 + 1. assign V125639 = V481557. assign V320172 = V969608. assign V496016 = V269830. assign V958788 = V881266 + 1. assign V225757 = V465821 + 1. assign V776521 = V604726 + 1. assign V471904 = V286721. assign V006023 = V837447 - 1. assign V326631 = V162466 - 1. assign V304971 = V471904. assign V710292 = V589019. assign V650640 = V132988 + 1. assign V865022 = V604726 + 1. assign V649400 = V337081 + 1. assign V739519 = V776521 - 1. assign V757148 = V604726. assign V855861 = V132988. assign V336310 = V170443. assign V597393 = V205204 + 1. assign V781579 = V015170 + 1. assign V418072 = V271758 + 1. assign V812014 = V088194 - 1. assign V712468 = V650614. assign V270701 = V569627. assign V593401 = V466353. assign V964489 = V270701 + 1. assign V388406 = V693509. assign V957928 = V363910 + 1. assign V096121 = V081231 + 1. assign V283955 = V368131 + 1. assign V865789 = V734270 - 1. assign V837447 = V312221 - 1. assign V641129 = V693509 - 1. assign V452910 = V589019 - 1. assign V964460 = V406900 + 1. assign V818021 = V747052 + 1. assign V209498 = V221521 + 1. assign V590082 = V240924 + 1. assign V705097 = V837447. assign V918719 = V187364. assign V447578 = V978119 - 1. assign V442744 = V471904 + 1. assign V570625 = V983000. assign V255092 = V152163 - 1. assign V267966 = V490502 + 1. assign V968323 = V312221 - 1. assign V861736 = V286721. assign V757294 = V757148 + 1. assign V271758 = V979250 + 1. assign V015170 = V406900. assign V827611 = V757148 - 1. assign V105840 = V023833. assign V969608 = V466353 + 1. assign V662092 = V553339 - 1. assign V670088 = V604726 + 1. assign V070503 = V490502 - 1. assign V221521 = V406900 - 1. assign V559814 = V550838 + 1. assign V586172 = V267966 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V569627 = V349827. assign V349827 = V490502. assign V406789 = V055582 + 1. assign V318872 = V954042 - 1. assign V828185 = V983000 - 1. assign V979250 = V490502. assign V650614 = V837447 - 1. assign V252770 = V902095. assign V015554 = V481557. assign V487241 = V048313 + 1. assign V274338 = V312221. assign V976576 = V283955 - 1. assign V877936 = V006023 - 1. assign V023833 = V152163 - 1. assign V645980 = V105840 + 1. assign V547242 = V015170 + 1. assign V237175 = V221521. assign V454352 = V547242 - 1. assign V320103 = V349827 + 1. assign V490502 = V312221. assign V574999 = V756615. assign V881266 = V237175 + 1. assign V560212 = V326631. assign V939748 = V604726 - 1. assign V216648 = V954042 + 1. assign V708726 = V365868. assign V187364 = V349827 - 1. assign V008960 = V255092 - 1. assign V245803 = V597393. assign V081231 = V569627 + 1. assign V447277 = V471904. assign V978531 = V105840 - 1. assign V633653 = V569627 + 1. assign V829263 = V162466 + 1. assign V303062 = V978119 + 1. assign V942623 = V969608 + 1. assign V363910 = V048313 - 1. assign V604726 = V490502. assign V420789 = V983000 + 1. assign V428369 = V326631. assign V286721 = V349827. assign V902095 = V865022 + 1. assign V825607 = V757148. assign V747052 = V683603 - 1. assign V954042 = V006023 - 1. assign V464407 = V363910 + 1. assign V116799 = V312221 + 1. assign V132988 = V569627 - 1. assign V976323 = V954042 + 1. assign V555871 = V502453 - 1. assign V693509 = V837447. assign V406900 = V365868 + 1. assign V030873 = V776521 - 1. assign V465821 = V152163. assign V692497 = V553339 - 1. assign V337081 = V221521. assign V675104 = V187364. assign V663110 = V983000 - 1. assign V750120 = V641129 + 1. assign V826802 = V187364 + 1. assign V031784 = V267966 - 1. assign V868682 = V258554. assign V048313 = V023833 + 1. assign V256004 = V997013. assign V978119 = V712468 - 1. assign V675484 = V633653 + 1. assign V466353 = V274338. assign V630493 = V739519. assign V088194 = V574999. assign V683603 = V877936. assign V509730 = V255092 + 1. assign V162466 = V837447. assign V205988 = V221521. assign V055582 = V650614. assign V635921 = V365868 - 1. assign V134461 = V635921 - 1. assign V589703 = V487241. assign V748312 = V388406 + 1. assign V589019 = V650614 + 1. assign V983000 = V683603 + 1. assign V973298 = V683603. assign V170443 = V855861 + 1. assign V748432 = V132988. assign V152163 = V312221 - 1. assign V483097 = V490502 + 1. assign V997013 = V363910 + 1. assign V269830 = 3. assign V240924 = V881266. assign V734270 = V187364 - 1. assign V258554 = V747052 + 1. assign V205204 = V349827. assign V937276 = V650640 + 1. assign V732714 = V006023 + 1. assign V156055 = V466353 - 1. assign V879651 = V529358 + 1. assign V904333 = V976323 + 1. assign V253639 = V023833 - 1. assign V553339 = V152163. assign V779849 = V286721 + 1. assign V368131 = V633653 - 1. assign V550838 = V487241. assign V756615 = V589019. assign V529358 = V274338. assign V183619 = V693509. assign V312221 = V365868 + 1. assign V481557 = V258554. assign V496417 = V904333 - 1. assign V207318 = V877936 + 1. assign V126532 = V865022 + 1. assign V502453 = V152163 - 1. assign V330568 = V006023 - 1. assign V385033 = V829263 - 1. assign V951820 = V048313 + 1. assign V125639 = V481557. assign V320172 = V969608. assign V496016 = V269830. assign V958788 = V881266 + 1. assign V225757 = V465821 + 1. assign V776521 = V604726 + 1. assign V471904 = V286721. assign V006023 = V837447 - 1. assign V326631 = V162466 - 1. assign V304971 = V471904. assign V710292 = V589019. assign V650640 = V132988 + 1. assign V865022 = V604726 + 1. assign V649400 = V337081 + 1. assign V739519 = V776521 - 1. assign V757148 = V604726. assign V855861 = V132988. assign V336310 = V170443. assign V597393 = V205204 + 1. assign V781579 = V015170 + 1. assign V418072 = V271758 + 1. assign V812014 = V088194 - 1. assign V712468 = V650614. assign V270701 = V569627. assign V593401 = V466353. assign V964489 = V270701 + 1. assign V388406 = V693509. assign V957928 = V363910 + 1. assign V096121 = V081231 + 1. assign V283955 = V368131 + 1. assign V865789 = V734270 - 1. assign V837447 = V312221 - 1. assign V641129 = V693509 - 1. assign V452910 = V589019 - 1. assign V964460 = V406900 + 1. assign V818021 = V747052 + 1. assign V209498 = V221521 + 1. assign V590082 = V240924 + 1. assign V705097 = V837447. assign V918719 = V187364. assign V447578 = V978119 - 1. assign V442744 = V471904 + 1. assign V570625 = V983000. assign V255092 = V152163 - 1. assign V267966 = V490502 + 1. assign V968323 = V312221 - 1. assign V861736 = V286721. assign V757294 = V757148 + 1. assign V271758 = V979250 + 1. assign V015170 = V406900. assign V827611 = V757148 - 1. assign V105840 = V023833. assign V969608 = V466353 + 1. assign V662092 = V553339 - 1. assign V670088 = V604726 + 1. assign V070503 = V490502 - 1. assign V221521 = V406900 - 1. assign V559814 = V550838 + 1. assign V586172 = V267966 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV269830 = 3;\n\nFrom these direct assignment(s), we have: \nV496016 = V269830 = 3;\nNo other variables can be derived from V496016;\nNo other variables can be derived from V269830;\n\nNow we have done all the calculations. Derived variables are:\nV269830 = 3;\nV496016 = 3;\n\nNow we have finished this problem. ANSWER:\nV269830, V496016\n", "role": "assistant" } ]

[ "V820909", "V519135" ]

[ { "content": "<context>\nassign V008083 = V174449 - 1. assign V613271 = V390873 - 1. assign V449503 = V358005 + 1. assign V466506 = V064271 + 1. assign V768781 = V407962. assign V659689 = V728479 + 1. assign V938821 = V567364. assign V469498 = V525540 - 1. assign V980263 = V403512 + 1. assign V765302 = V254577 - 1. assign V385036 = V804262. assign V530834 = V938821 + 1. assign V915990 = V750874 - 1. assign V228552 = V838554 - 1. assign V519135 = V820909. assign V046154 = V156993 - 1. assign V759038 = V469498 + 1. assign V690045 = V053848 + 1. assign V274271 = V027384 + 1. assign V034772 = V916033 + 1. assign V227617 = V469498. assign V275847 = V413347 + 1. assign V148793 = V769336 + 1. assign V145884 = V474881. assign V527979 = V770784 - 1. assign V805231 = V458405 + 1. assign V120455 = V231078. assign V637032 = V667953 - 1. assign V370491 = V811527 + 1. assign V287415 = V043905 - 1. assign V071204 = V047938 - 1. assign V006009 = V140050. assign V256913 = V227617. assign V682387 = V071204 - 1. assign V292732 = V013747. assign V704494 = V256913 + 1. assign V318479 = V595765 + 1. assign V769029 = V227617 + 1. assign V701256 = V201888 + 1. assign V804262 = V525540 + 1. assign V558532 = V071204. assign V013747 = V757424 + 1. assign V242658 = V474881 + 1. assign V390873 = V199049 + 1. assign V030973 = V426368. assign V759259 = V103823. assign V586085 = V164323 + 1. assign V488053 = V802306 - 1. assign V941464 = V227617. assign V044628 = V884207 + 1. assign V305242 = V227617 + 1. assign V036693 = V462875 - 1. assign V199049 = V534867 + 1. assign V254577 = V199049 - 1. assign V092800 = V071204 + 1. assign V525921 = V403512. assign V251337 = V458405 + 1. assign V968125 = V275847 - 1. assign V333866 = V140050. assign V515179 = V769029. assign V619178 = V538665 + 1. assign V636653 = V759038 - 1. assign V459579 = V768781 - 1. assign V103823 = V047938. assign V462875 = V448029. assign V183530 = V426368 - 1. assign V183836 = V275847 - 1. assign V053848 = V525540. assign V450080 = V120455 - 1. assign V627562 = V328125. assign V358005 = V470136 - 1. assign V631346 = V769029. assign V407962 = V613271. assign V099484 = V878717 - 1. assign V201888 = V295133. assign V056574 = V413347 + 1. assign V425346 = V838554 - 1. assign V908345 = V064271 - 1. assign V705239 = V231078. assign V639103 = V858498 + 1. assign V053831 = V769336 - 1. assign V757424 = V370491 - 1. assign V460560 = V728479 - 1. assign V642258 = V534867 - 1. assign V858498 = V279357 + 1. assign V305191 = V525921. assign V916332 = V382302 + 1. assign V347878 = V877241 + 1. assign V769336 = V525540. assign V744827 = V103823 + 1. assign V538665 = V769336 + 1. assign V413347 = V525540 - 1. assign V152687 = V586085 + 1. assign V595765 = V802306. assign V818999 = V462875 - 1. assign V072283 = V227617 - 1. assign V458405 = V426368 + 1. assign V811527 = V879989. assign V106453 = V413347. assign V877241 = V613271. assign V838554 = V525540. assign V241970 = V980263 + 1. assign V064271 = V896902 + 1. assign V295133 = V030973 + 1. assign V382302 = V279357. assign V987453 = V567364 - 1. assign V505841 = V586085 + 1. assign V164323 = V199049 + 1. assign V419750 = V938821 + 1. assign V916033 = V728479. assign V328125 = V106453. assign V616161 = V515179 - 1. assign V067364 = V318479. assign V413535 = V448029 - 1. assign V043905 = V884207. assign V534867 = V183836 - 1. assign V884207 = V106453. assign V964379 = V156993. assign V174449 = V567364 - 1. assign V501858 = V425346. assign V930267 = V034772 - 1. assign V909993 = V488053 - 1. assign V027384 = V804262. assign V567364 = V044628 + 1. assign V209676 = V659709 - 1. assign V905187 = V916033. assign V070670 = V120455 - 1. assign V728479 = V884207 + 1. assign V403512 = V413347 + 1. assign V156993 = V279357 - 1. assign V618971 = V106453 + 1. assign V068024 = V721639. assign V879989 = V053831. assign V522663 = V759038 - 1. assign V826896 = V804262. assign V474881 = V759038 - 1. assign V140050 = V630855 - 1. assign V433081 = V008083. assign V141775 = V750874 - 1. assign V368116 = V525540 - 1. assign V878717 = V525540. assign V155113 = V228552. assign V481317 = V034772. assign V721639 = V044628 + 1. assign V031410 = V527979 - 1. assign V171966 = V728479 + 1. assign V532378 = V534867 - 1. assign V632559 = V968125 - 1. assign V470136 = V403512 + 1. assign V630855 = V103823 - 1. assign V659709 = V560848 - 1. assign V202973 = V728479 - 1. assign V247205 = V103823 - 1. assign V896902 = V413347. assign V279357 = V896902 - 1. assign V945582 = V522663 - 1. assign V205585 = V305242 - 1. assign V869891 = V769336 + 1. assign V750874 = V103823. assign V231078 = V106453. assign V820909 = 3. assign V448029 = V525540 + 1. assign V426368 = V525540 + 1. assign V193433 = V721639 + 1. assign V667953 = V877241. assign V047938 = V878717. assign V787169 = V193433 - 1. assign V802306 = V613271 + 1. assign V051548 = V193433 + 1. assign V560848 = V052463 + 1. assign V052463 = V053848. assign V770784 = V884207.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V008083 = V174449 - 1. assign V613271 = V390873 - 1. assign V449503 = V358005 + 1. assign V466506 = V064271 + 1. assign V768781 = V407962. assign V659689 = V728479 + 1. assign V938821 = V567364. assign V469498 = V525540 - 1. assign V980263 = V403512 + 1. assign V765302 = V254577 - 1. assign V385036 = V804262. assign V530834 = V938821 + 1. assign V915990 = V750874 - 1. assign V228552 = V838554 - 1. assign V519135 = V820909. assign V046154 = V156993 - 1. assign V759038 = V469498 + 1. assign V690045 = V053848 + 1. assign V274271 = V027384 + 1. assign V034772 = V916033 + 1. assign V227617 = V469498. assign V275847 = V413347 + 1. assign V148793 = V769336 + 1. assign V145884 = V474881. assign V527979 = V770784 - 1. assign V805231 = V458405 + 1. assign V120455 = V231078. assign V637032 = V667953 - 1. assign V370491 = V811527 + 1. assign V287415 = V043905 - 1. assign V071204 = V047938 - 1. assign V006009 = V140050. assign V256913 = V227617. assign V682387 = V071204 - 1. assign V292732 = V013747. assign V704494 = V256913 + 1. assign V318479 = V595765 + 1. assign V769029 = V227617 + 1. assign V701256 = V201888 + 1. assign V804262 = V525540 + 1. assign V558532 = V071204. assign V013747 = V757424 + 1. assign V242658 = V474881 + 1. assign V390873 = V199049 + 1. assign V030973 = V426368. assign V759259 = V103823. assign V586085 = V164323 + 1. assign V488053 = V802306 - 1. assign V941464 = V227617. assign V044628 = V884207 + 1. assign V305242 = V227617 + 1. assign V036693 = V462875 - 1. assign V199049 = V534867 + 1. assign V254577 = V199049 - 1. assign V092800 = V071204 + 1. assign V525921 = V403512. assign V251337 = V458405 + 1. assign V968125 = V275847 - 1. assign V333866 = V140050. assign V515179 = V769029. assign V619178 = V538665 + 1. assign V636653 = V759038 - 1. assign V459579 = V768781 - 1. assign V103823 = V047938. assign V462875 = V448029. assign V183530 = V426368 - 1. assign V183836 = V275847 - 1. assign V053848 = V525540. assign V450080 = V120455 - 1. assign V627562 = V328125. assign V358005 = V470136 - 1. assign V631346 = V769029. assign V407962 = V613271. assign V099484 = V878717 - 1. assign V201888 = V295133. assign V056574 = V413347 + 1. assign V425346 = V838554 - 1. assign V908345 = V064271 - 1. assign V705239 = V231078. assign V639103 = V858498 + 1. assign V053831 = V769336 - 1. assign V757424 = V370491 - 1. assign V460560 = V728479 - 1. assign V642258 = V534867 - 1. assign V858498 = V279357 + 1. assign V305191 = V525921. assign V916332 = V382302 + 1. assign V347878 = V877241 + 1. assign V769336 = V525540. assign V744827 = V103823 + 1. assign V538665 = V769336 + 1. assign V413347 = V525540 - 1. assign V152687 = V586085 + 1. assign V595765 = V802306. assign V818999 = V462875 - 1. assign V072283 = V227617 - 1. assign V458405 = V426368 + 1. assign V811527 = V879989. assign V106453 = V413347. assign V877241 = V613271. assign V838554 = V525540. assign V241970 = V980263 + 1. assign V064271 = V896902 + 1. assign V295133 = V030973 + 1. assign V382302 = V279357. assign V987453 = V567364 - 1. assign V505841 = V586085 + 1. assign V164323 = V199049 + 1. assign V419750 = V938821 + 1. assign V916033 = V728479. assign V328125 = V106453. assign V616161 = V515179 - 1. assign V067364 = V318479. assign V413535 = V448029 - 1. assign V043905 = V884207. assign V534867 = V183836 - 1. assign V884207 = V106453. assign V964379 = V156993. assign V174449 = V567364 - 1. assign V501858 = V425346. assign V930267 = V034772 - 1. assign V909993 = V488053 - 1. assign V027384 = V804262. assign V567364 = V044628 + 1. assign V209676 = V659709 - 1. assign V905187 = V916033. assign V070670 = V120455 - 1. assign V728479 = V884207 + 1. assign V403512 = V413347 + 1. assign V156993 = V279357 - 1. assign V618971 = V106453 + 1. assign V068024 = V721639. assign V879989 = V053831. assign V522663 = V759038 - 1. assign V826896 = V804262. assign V474881 = V759038 - 1. assign V140050 = V630855 - 1. assign V433081 = V008083. assign V141775 = V750874 - 1. assign V368116 = V525540 - 1. assign V878717 = V525540. assign V155113 = V228552. assign V481317 = V034772. assign V721639 = V044628 + 1. assign V031410 = V527979 - 1. assign V171966 = V728479 + 1. assign V532378 = V534867 - 1. assign V632559 = V968125 - 1. assign V470136 = V403512 + 1. assign V630855 = V103823 - 1. assign V659709 = V560848 - 1. assign V202973 = V728479 - 1. assign V247205 = V103823 - 1. assign V896902 = V413347. assign V279357 = V896902 - 1. assign V945582 = V522663 - 1. assign V205585 = V305242 - 1. assign V869891 = V769336 + 1. assign V750874 = V103823. assign V231078 = V106453. assign V820909 = 3. assign V448029 = V525540 + 1. assign V426368 = V525540 + 1. assign V193433 = V721639 + 1. assign V667953 = V877241. assign V047938 = V878717. assign V787169 = V193433 - 1. assign V802306 = V613271 + 1. assign V051548 = V193433 + 1. assign V560848 = V052463 + 1. assign V052463 = V053848. assign V770784 = V884207.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV820909 = 3;\n\nFrom these direct assignment(s), we have: \nV519135 = V820909 = 3;\nNo other variables can be derived from V519135;\nNo other variables can be derived from V820909;\n\nNow we have done all the calculations. Derived variables are:\nV820909 = 3;\nV519135 = 3;\n\nNow we have finished this problem. ANSWER:\nV820909, V519135\n", "role": "assistant" } ]

[ "V933604" ]

[ { "content": "<context>\nassign V348061 = V237172. assign V784447 = V455739. assign V181679 = V691125. assign V204899 = V601932 - 1. assign V273711 = V877478 - 1. assign V237172 = V485951 - 1. assign V565171 = V293093. assign V138935 = V803225. assign V740667 = V451906 + 1. assign V824416 = V451906. assign V477096 = V576772 - 1. assign V152076 = V704249. assign V062259 = V916576 + 1. assign V274141 = V159421 + 1. assign V576772 = V236051. assign V034606 = V273711. assign V831157 = V293093. assign V365230 = V265176 - 1. assign V487369 = V766592. assign V451407 = V485866 + 1. assign V766592 = V455739 - 1. assign V952247 = V803225 + 1. assign V546222 = V601932 - 1. assign V527152 = V859286 + 1. assign V485951 = V236051 - 1. assign V109059 = V034986. assign V192200 = V750380 - 1. assign V646101 = V455739 - 1. assign V348630 = V498312. assign V353707 = V691789. assign V079162 = V576772 - 1. assign V034986 = V627784. assign V159421 = V335788 - 1. assign V353885 = V109059 - 1. assign V539189 = V576772 + 1. assign V468015 = V144127 + 1. assign V011733 = V873082 - 1. assign V640157 = V496617. assign V041776 = V803225 - 1. assign V659381 = V606356. assign V356938 = V273711. assign V012530 = V293093 - 1. assign V779207 = V436196 + 1. assign V925330 = V608239. assign V342356 = V539189. assign V750380 = V188080 + 1. assign V757029 = V568779. assign V498312 = V323018 - 1. assign V456546 = V034986 - 1. assign V497431 = V527152 + 1. assign V938155 = V012530 - 1. assign V144127 = V236051. assign V568779 = V273711 - 1. assign V549592 = V422433 + 1. assign V898506 = V454652 - 1. assign V287299 = V386062 + 1. assign V803225 = V497431 - 1. assign V933604 = 5. assign V890188 = V436196. assign V496617 = V365230 + 1. assign V537474 = V877478. assign V436196 = V512163 + 1. assign V525307 = V365230 + 1. assign V385767 = V859286 + 1. assign V530088 = V426048 + 1. assign V665093 = V876496 + 1. assign V061174 = V784447 + 1. assign V426048 = V691125 + 1. assign V483060 = V646181 + 1. assign V687347 = V236051 - 1. assign V335788 = V859286 - 1. assign V394583 = V293093 - 1. assign V646181 = V152076 - 1. assign V386062 = V789276. assign V690869 = V910811. assign V915352 = V925330 + 1. assign V150943 = V362853. assign V129367 = V398811 + 1. assign V723422 = V237172. assign V608239 = V530088. assign V933191 = V978058 + 1. assign V982364 = V916576 - 1. assign V614637 = V916576. assign V613383 = V398811 - 1. assign V978058 = V192200. assign V450092 = V455739. assign V664155 = V041776 + 1. assign V994998 = V274141 - 1. assign V186495 = V144127 + 1. assign V128282 = V530088 + 1. assign V844334 = V627784. assign V264469 = V120234 - 1. assign V647594 = V576772 + 1. assign V335510 = V043320. assign V043320 = V188080. assign V455739 = V733562 - 1. assign V019299 = V225042 - 1. assign V601932 = V011733 + 1. assign V733562 = V362853 + 1. assign V376608 = V601932. assign V398811 = V925511 - 1. assign V627784 = V436196. assign V967774 = V273711 + 1. assign V786602 = V498312. assign V362853 = V877478. assign V606356 = V878877. assign V557019 = V335788. assign V789276 = V477096 - 1. assign V878877 = V451906 - 1. assign V293093 = V859286 - 1. assign V876496 = V323018 - 1. assign V570934 = V878877 - 1. assign V435241 = V236051 + 1. assign V691125 = V451906 + 1. assign V873082 = V704249 + 1. assign V362332 = V994998. assign V265176 = V293093. assign V617459 = V236051 + 1. assign V255300 = V362853 + 1. assign V384422 = V071615 + 1. assign V034235 = V034986 + 1. assign V522407 = V129367. assign V354307 = V485951 - 1. assign V859286 = V779207 + 1. assign V691789 = V335510 + 1. assign V095226 = V824416. assign V676684 = V733562 - 1. assign V877478 = V043320 + 1. assign V015598 = V062259 - 1. assign V512163 = V043320 + 1. assign V049145 = V079162 + 1. assign V541372 = V342356 - 1. assign V450552 = V394583 - 1. assign V147162 = V512163. assign V500513 = V750380 + 1. assign V245446 = V192200. assign V218105 = V500513 - 1. assign V452748 = V565171 - 1. assign V526954 = V704249 - 1. assign V428151 = V012530 + 1. assign V704249 = V750380. assign V933923 = V095226 + 1. assign V910811 = V342356. assign V546816 = V537474. assign V387351 = V454652 + 1. assign V025433 = V723422 + 1. assign V437472 = V362853. assign V424160 = V784447 - 1. assign V236051 = V750380 - 1. assign V508315 = V952247. assign V916576 = V385767. assign V774111 = V422433 - 1. assign V090335 = V041776 - 1. assign V992192 = V150943 - 1. assign V925511 = V877478 + 1. assign V225042 = V264469. assign V461818 = V916576 + 1. assign V060942 = V803225. assign V485866 = V527152. assign V454652 = V750380 - 1. assign V163092 = V750380. assign V422433 = V451906. assign V451906 = V704249 - 1. assign V113880 = V898506. assign V559095 = V933191. assign V323018 = V236051 + 1. assign V071615 = V859286. assign V455895 = V831157 + 1. assign V597287 = V933604 - 1. assign V644767 = V526954 + 1. assign V120234 = V043320 + 1. assign V484675 = V687347 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V348061 = V237172. assign V784447 = V455739. assign V181679 = V691125. assign V204899 = V601932 - 1. assign V273711 = V877478 - 1. assign V237172 = V485951 - 1. assign V565171 = V293093. assign V138935 = V803225. assign V740667 = V451906 + 1. assign V824416 = V451906. assign V477096 = V576772 - 1. assign V152076 = V704249. assign V062259 = V916576 + 1. assign V274141 = V159421 + 1. assign V576772 = V236051. assign V034606 = V273711. assign V831157 = V293093. assign V365230 = V265176 - 1. assign V487369 = V766592. assign V451407 = V485866 + 1. assign V766592 = V455739 - 1. assign V952247 = V803225 + 1. assign V546222 = V601932 - 1. assign V527152 = V859286 + 1. assign V485951 = V236051 - 1. assign V109059 = V034986. assign V192200 = V750380 - 1. assign V646101 = V455739 - 1. assign V348630 = V498312. assign V353707 = V691789. assign V079162 = V576772 - 1. assign V034986 = V627784. assign V159421 = V335788 - 1. assign V353885 = V109059 - 1. assign V539189 = V576772 + 1. assign V468015 = V144127 + 1. assign V011733 = V873082 - 1. assign V640157 = V496617. assign V041776 = V803225 - 1. assign V659381 = V606356. assign V356938 = V273711. assign V012530 = V293093 - 1. assign V779207 = V436196 + 1. assign V925330 = V608239. assign V342356 = V539189. assign V750380 = V188080 + 1. assign V757029 = V568779. assign V498312 = V323018 - 1. assign V456546 = V034986 - 1. assign V497431 = V527152 + 1. assign V938155 = V012530 - 1. assign V144127 = V236051. assign V568779 = V273711 - 1. assign V549592 = V422433 + 1. assign V898506 = V454652 - 1. assign V287299 = V386062 + 1. assign V803225 = V497431 - 1. assign V933604 = 5. assign V890188 = V436196. assign V496617 = V365230 + 1. assign V537474 = V877478. assign V436196 = V512163 + 1. assign V525307 = V365230 + 1. assign V385767 = V859286 + 1. assign V530088 = V426048 + 1. assign V665093 = V876496 + 1. assign V061174 = V784447 + 1. assign V426048 = V691125 + 1. assign V483060 = V646181 + 1. assign V687347 = V236051 - 1. assign V335788 = V859286 - 1. assign V394583 = V293093 - 1. assign V646181 = V152076 - 1. assign V386062 = V789276. assign V690869 = V910811. assign V915352 = V925330 + 1. assign V150943 = V362853. assign V129367 = V398811 + 1. assign V723422 = V237172. assign V608239 = V530088. assign V933191 = V978058 + 1. assign V982364 = V916576 - 1. assign V614637 = V916576. assign V613383 = V398811 - 1. assign V978058 = V192200. assign V450092 = V455739. assign V664155 = V041776 + 1. assign V994998 = V274141 - 1. assign V186495 = V144127 + 1. assign V128282 = V530088 + 1. assign V844334 = V627784. assign V264469 = V120234 - 1. assign V647594 = V576772 + 1. assign V335510 = V043320. assign V043320 = V188080. assign V455739 = V733562 - 1. assign V019299 = V225042 - 1. assign V601932 = V011733 + 1. assign V733562 = V362853 + 1. assign V376608 = V601932. assign V398811 = V925511 - 1. assign V627784 = V436196. assign V967774 = V273711 + 1. assign V786602 = V498312. assign V362853 = V877478. assign V606356 = V878877. assign V557019 = V335788. assign V789276 = V477096 - 1. assign V878877 = V451906 - 1. assign V293093 = V859286 - 1. assign V876496 = V323018 - 1. assign V570934 = V878877 - 1. assign V435241 = V236051 + 1. assign V691125 = V451906 + 1. assign V873082 = V704249 + 1. assign V362332 = V994998. assign V265176 = V293093. assign V617459 = V236051 + 1. assign V255300 = V362853 + 1. assign V384422 = V071615 + 1. assign V034235 = V034986 + 1. assign V522407 = V129367. assign V354307 = V485951 - 1. assign V859286 = V779207 + 1. assign V691789 = V335510 + 1. assign V095226 = V824416. assign V676684 = V733562 - 1. assign V877478 = V043320 + 1. assign V015598 = V062259 - 1. assign V512163 = V043320 + 1. assign V049145 = V079162 + 1. assign V541372 = V342356 - 1. assign V450552 = V394583 - 1. assign V147162 = V512163. assign V500513 = V750380 + 1. assign V245446 = V192200. assign V218105 = V500513 - 1. assign V452748 = V565171 - 1. assign V526954 = V704249 - 1. assign V428151 = V012530 + 1. assign V704249 = V750380. assign V933923 = V095226 + 1. assign V910811 = V342356. assign V546816 = V537474. assign V387351 = V454652 + 1. assign V025433 = V723422 + 1. assign V437472 = V362853. assign V424160 = V784447 - 1. assign V236051 = V750380 - 1. assign V508315 = V952247. assign V916576 = V385767. assign V774111 = V422433 - 1. assign V090335 = V041776 - 1. assign V992192 = V150943 - 1. assign V925511 = V877478 + 1. assign V225042 = V264469. assign V461818 = V916576 + 1. assign V060942 = V803225. assign V485866 = V527152. assign V454652 = V750380 - 1. assign V163092 = V750380. assign V422433 = V451906. assign V451906 = V704249 - 1. assign V113880 = V898506. assign V559095 = V933191. assign V323018 = V236051 + 1. assign V071615 = V859286. assign V455895 = V831157 + 1. assign V597287 = V933604 - 1. assign V644767 = V526954 + 1. assign V120234 = V043320 + 1. assign V484675 = V687347 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV933604 = 5;\n\nFrom these direct assignment(s), we have: \nV597287 = V933604 - 1 = 5 - 1 =4;\nNo other variables can be derived from V597287;\nNo other variables can be derived from V933604;\n\nNow we have done all the calculations. Derived variables are:\nV933604 = 5;\nV597287 = 4;\n\nNow we have finished this problem. ANSWER:\nV933604\n", "role": "assistant" } ]

[ "V593006" ]

[ { "content": "<context>\nassign V001135 = V704835. assign V980725 = V411999. assign V144688 = V628224 + 1. assign V328551 = V201424. assign V826539 = V883430 - 1. assign V978579 = V736688. assign V810984 = V660725. assign V866606 = V570166 - 1. assign V669692 = V721292 + 1. assign V641576 = V593006 - 1. assign V593006 = 1. assign V027079 = V075216 - 1. assign V013083 = V647565 + 1. assign V745057 = V570166 - 1. assign V821987 = V721292. assign V644086 = V167059 - 1. assign V662755 = V546209. assign V201424 = V682509 - 1. assign V631963 = V437081. assign V330703 = V437081. assign V570166 = V759000 + 1. assign V549690 = V631963. assign V987232 = V875587. assign V705972 = V027302 - 1. assign V805939 = V369984 - 1. assign V718304 = V813932 + 1. assign V748970 = V940913 + 1. assign V452616 = V669692 - 1. assign V708911 = V228263. assign V826144 = V176810. assign V360542 = V437081 - 1. assign V375919 = V282699 + 1. assign V897651 = V411999. assign V047043 = V392516. assign V431448 = V383825 - 1. assign V392516 = V276217 - 1. assign V759000 = V369984. assign V556217 = V704835 - 1. assign V471075 = V929417. assign V459880 = V972511. assign V654294 = V669692. assign V883430 = V368149 - 1. assign V644895 = V455349 - 1. assign V972401 = V049655 + 1. assign V427927 = V201424 + 1. assign V195212 = V176810 + 1. assign V728138 = V543508 + 1. assign V167059 = V276217 + 1. assign V252060 = V909527. assign V264868 = V759000. assign V546209 = V647565. assign V543068 = V980725. assign V752064 = V940913. assign V940588 = V478353 + 1. assign V825813 = V325446 - 1. assign V736688 = V075216. assign V264582 = V736688. assign V463200 = V940913. assign V183274 = V392516 + 1. assign V343709 = V883430 - 1. assign V268814 = V459880 + 1. assign V660725 = V049655. assign V758516 = V478353. assign V305286 = V647565 - 1. assign V485854 = V466545 - 1. assign V721292 = V411999. assign V940913 = V274606 - 1. assign V946986 = V027302. assign V049655 = V411999. assign V249281 = V972511 - 1. assign V640235 = V912817. assign V575875 = V980725. assign V174732 = V086577 + 1. assign V368149 = V651172 + 1. assign V308890 = V530519 - 1. assign V325446 = V437081 - 1. assign V682509 = V909527 + 1. assign V549499 = V438146 - 1. assign V929417 = V570166 + 1. assign V299645 = V810984 + 1. assign V206282 = V276217. assign V607423 = V978579 - 1. assign V103370 = V523482. assign V149906 = V912817 + 1. assign V951497 = V013083 + 1. assign V410100 = V912817 - 1. assign V813932 = V437081 + 1. assign V834657 = V471075 + 1. assign V722535 = V980725 + 1. assign V176810 = V647565 - 1. assign V953026 = V013083 + 1. assign V272923 = V276217 - 1. assign V455349 = V272923 - 1. assign V690000 = V167059. assign V730082 = V523482 + 1. assign V048299 = V546209 + 1. assign V850561 = V276217. assign V786177 = V721292 - 1. assign V330045 = V745057. assign V067340 = V759000. assign V619119 = V912817 + 1. assign V466545 = V770485 + 1. assign V313939 = V383825 + 1. assign V210488 = V785859 - 1. assign V735561 = V226846. assign V353659 = V928680 - 1. assign V799649 = V549690 + 1. assign V928680 = V075216 - 1. assign V410194 = V912817. assign V383825 = V048299 + 1. assign V352873 = V546209 - 1. assign V523482 = V274606 + 1. assign V065404 = V631963 - 1. assign V611648 = V393078. assign V665092 = V437081 - 1. assign V833634 = V707571. assign V086577 = V369984 - 1. assign V770485 = V813932 + 1. assign V912817 = V980725. assign V909527 = V411999. assign V027302 = V929417 - 1. assign V789228 = V282699 - 1. assign V393078 = V651172 + 1. assign V628224 = V543508. assign V763351 = V722535 + 1. assign V502396 = V911439. assign V851328 = V276217 - 1. assign V478353 = V086577. assign V803521 = V728138. assign V226846 = V167059. assign V369984 = V833634 + 1. assign V140845 = V546209. assign V647565 = V325446 - 1. assign V972511 = V662755. assign V782176 = V523482. assign V282699 = V929417. assign V573531 = V661429 - 1. assign V775177 = V543508 + 1. assign V969784 = V530519 - 1. assign V420344 = V631963 + 1. assign V176794 = V980725. assign V530519 = V167059 - 1. assign V228263 = V272923 - 1. assign V661429 = V530842 + 1. assign V548290 = V708911 + 1. assign V543508 = V546209. assign V493350 = V987232 + 1. assign V438146 = V629556 + 1. assign V651172 = V392516 + 1. assign V276217 = V411999. assign V354388 = V328551 - 1. assign V911439 = V437081. assign V391422 = V001135 - 1. assign V530842 = V411999 + 1. assign V347405 = V167059 + 1. assign V147892 = V987232. assign V773891 = V167059 - 1. assign V785859 = V502396 - 1. assign V963600 = V721292 + 1. assign V875587 = V330703. assign V001729 = V455349 - 1. assign V075216 = V167059. assign V629556 = V546209. assign V274606 = V392516 + 1. assign V758256 = V272923 - 1. assign V121811 = V392516 - 1. assign V411999 = V437081. assign V704835 = V978579. assign V367781 = V228263. assign V603804 = V972401 - 1. assign V707571 = V352873 + 1. assign V958239 = V647565 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V001135 = V704835. assign V980725 = V411999. assign V144688 = V628224 + 1. assign V328551 = V201424. assign V826539 = V883430 - 1. assign V978579 = V736688. assign V810984 = V660725. assign V866606 = V570166 - 1. assign V669692 = V721292 + 1. assign V641576 = V593006 - 1. assign V593006 = 1. assign V027079 = V075216 - 1. assign V013083 = V647565 + 1. assign V745057 = V570166 - 1. assign V821987 = V721292. assign V644086 = V167059 - 1. assign V662755 = V546209. assign V201424 = V682509 - 1. assign V631963 = V437081. assign V330703 = V437081. assign V570166 = V759000 + 1. assign V549690 = V631963. assign V987232 = V875587. assign V705972 = V027302 - 1. assign V805939 = V369984 - 1. assign V718304 = V813932 + 1. assign V748970 = V940913 + 1. assign V452616 = V669692 - 1. assign V708911 = V228263. assign V826144 = V176810. assign V360542 = V437081 - 1. assign V375919 = V282699 + 1. assign V897651 = V411999. assign V047043 = V392516. assign V431448 = V383825 - 1. assign V392516 = V276217 - 1. assign V759000 = V369984. assign V556217 = V704835 - 1. assign V471075 = V929417. assign V459880 = V972511. assign V654294 = V669692. assign V883430 = V368149 - 1. assign V644895 = V455349 - 1. assign V972401 = V049655 + 1. assign V427927 = V201424 + 1. assign V195212 = V176810 + 1. assign V728138 = V543508 + 1. assign V167059 = V276217 + 1. assign V252060 = V909527. assign V264868 = V759000. assign V546209 = V647565. assign V543068 = V980725. assign V752064 = V940913. assign V940588 = V478353 + 1. assign V825813 = V325446 - 1. assign V736688 = V075216. assign V264582 = V736688. assign V463200 = V940913. assign V183274 = V392516 + 1. assign V343709 = V883430 - 1. assign V268814 = V459880 + 1. assign V660725 = V049655. assign V758516 = V478353. assign V305286 = V647565 - 1. assign V485854 = V466545 - 1. assign V721292 = V411999. assign V940913 = V274606 - 1. assign V946986 = V027302. assign V049655 = V411999. assign V249281 = V972511 - 1. assign V640235 = V912817. assign V575875 = V980725. assign V174732 = V086577 + 1. assign V368149 = V651172 + 1. assign V308890 = V530519 - 1. assign V325446 = V437081 - 1. assign V682509 = V909527 + 1. assign V549499 = V438146 - 1. assign V929417 = V570166 + 1. assign V299645 = V810984 + 1. assign V206282 = V276217. assign V607423 = V978579 - 1. assign V103370 = V523482. assign V149906 = V912817 + 1. assign V951497 = V013083 + 1. assign V410100 = V912817 - 1. assign V813932 = V437081 + 1. assign V834657 = V471075 + 1. assign V722535 = V980725 + 1. assign V176810 = V647565 - 1. assign V953026 = V013083 + 1. assign V272923 = V276217 - 1. assign V455349 = V272923 - 1. assign V690000 = V167059. assign V730082 = V523482 + 1. assign V048299 = V546209 + 1. assign V850561 = V276217. assign V786177 = V721292 - 1. assign V330045 = V745057. assign V067340 = V759000. assign V619119 = V912817 + 1. assign V466545 = V770485 + 1. assign V313939 = V383825 + 1. assign V210488 = V785859 - 1. assign V735561 = V226846. assign V353659 = V928680 - 1. assign V799649 = V549690 + 1. assign V928680 = V075216 - 1. assign V410194 = V912817. assign V383825 = V048299 + 1. assign V352873 = V546209 - 1. assign V523482 = V274606 + 1. assign V065404 = V631963 - 1. assign V611648 = V393078. assign V665092 = V437081 - 1. assign V833634 = V707571. assign V086577 = V369984 - 1. assign V770485 = V813932 + 1. assign V912817 = V980725. assign V909527 = V411999. assign V027302 = V929417 - 1. assign V789228 = V282699 - 1. assign V393078 = V651172 + 1. assign V628224 = V543508. assign V763351 = V722535 + 1. assign V502396 = V911439. assign V851328 = V276217 - 1. assign V478353 = V086577. assign V803521 = V728138. assign V226846 = V167059. assign V369984 = V833634 + 1. assign V140845 = V546209. assign V647565 = V325446 - 1. assign V972511 = V662755. assign V782176 = V523482. assign V282699 = V929417. assign V573531 = V661429 - 1. assign V775177 = V543508 + 1. assign V969784 = V530519 - 1. assign V420344 = V631963 + 1. assign V176794 = V980725. assign V530519 = V167059 - 1. assign V228263 = V272923 - 1. assign V661429 = V530842 + 1. assign V548290 = V708911 + 1. assign V543508 = V546209. assign V493350 = V987232 + 1. assign V438146 = V629556 + 1. assign V651172 = V392516 + 1. assign V276217 = V411999. assign V354388 = V328551 - 1. assign V911439 = V437081. assign V391422 = V001135 - 1. assign V530842 = V411999 + 1. assign V347405 = V167059 + 1. assign V147892 = V987232. assign V773891 = V167059 - 1. assign V785859 = V502396 - 1. assign V963600 = V721292 + 1. assign V875587 = V330703. assign V001729 = V455349 - 1. assign V075216 = V167059. assign V629556 = V546209. assign V274606 = V392516 + 1. assign V758256 = V272923 - 1. assign V121811 = V392516 - 1. assign V411999 = V437081. assign V704835 = V978579. assign V367781 = V228263. assign V603804 = V972401 - 1. assign V707571 = V352873 + 1. assign V958239 = V647565 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV593006 = 1;\n\nFrom these direct assignment(s), we have: \nV641576 = V593006 - 1 = 1 - 1 =0;\nNo other variables can be derived from V641576;\nNo other variables can be derived from V593006;\n\nNow we have done all the calculations. Derived variables are:\nV593006 = 1;\nV641576 = 0;\n\nNow we have finished this problem. ANSWER:\nV593006\n", "role": "assistant" } ]

[ "V092651" ]

[ { "content": "<context>\nassign V697883 = V812245 + 1. assign V617793 = V588662 - 1. assign V621187 = V060246 + 1. assign V387667 = V472969. assign V626731 = V310558 + 1. assign V739567 = V379693 + 1. assign V107138 = V486587 + 1. assign V212854 = V625871 - 1. assign V888586 = V420648 + 1. assign V029824 = V044179 + 1. assign V033898 = V799308 + 1. assign V256099 = V208490 - 1. assign V591912 = V415211. assign V812245 = V156087 - 1. assign V590637 = V156087. assign V031829 = V871986 + 1. assign V871751 = V208490 + 1. assign V082145 = V208490 + 1. assign V988654 = V398741 - 1. assign V252189 = V395539 + 1. assign V941118 = V677827 - 1. assign V622820 = V472969 - 1. assign V871986 = V420083 - 1. assign V231526 = V420083 + 1. assign V825622 = V302915. assign V126044 = V183623. assign V215421 = V663702 + 1. assign V310558 = V158469 + 1. assign V306535 = V231526 + 1. assign V141032 = V214106 + 1. assign V291492 = V652125 + 1. assign V044179 = V230365 + 1. assign V601155 = V133131 + 1. assign V415211 = V555594 - 1. assign V132184 = V625871 - 1. assign V343087 = V302915. assign V664871 = V029797 - 1. assign V108569 = V029824. assign V474041 = V932085 + 1. assign V056210 = V180244 - 1. assign V993247 = V302915 + 1. assign V588662 = V677827 + 1. assign V857080 = V387667 - 1. assign V840452 = V156087 - 1. assign V502908 = V156087. assign V487143 = V231526 - 1. assign V981768 = V078939 + 1. assign V133131 = V756629. assign V370104 = V126044 + 1. assign V677827 = V606452 - 1. assign V420648 = V870030. assign V923661 = V025325 - 1. assign V133603 = V833040. assign V336644 = V812245 - 1. assign V052126 = V555594 - 1. assign V370644 = V561244. assign V348605 = V833040. assign V987396 = V407090 - 1. assign V180244 = V208490. assign V577082 = V431399 - 1. assign V252928 = V871986 - 1. assign V322998 = V588662 - 1. assign V799308 = V415211 - 1. assign V965640 = V339549 + 1. assign V755645 = V459085. assign V468685 = V553989 + 1. assign V070821 = V561244. assign V861009 = V009165 + 1. assign V873902 = V316832. assign V214106 = V398741 - 1. assign V718851 = V420083 + 1. assign V563015 = V078939 + 1. assign V652125 = V840452. assign V272428 = V965640 + 1. assign V125479 = V092651 - 1. assign V947444 = V590637 + 1. assign V834085 = V339549. assign V292246 = V479905 - 1. assign V183623 = V302915. assign V596347 = V799308 - 1. assign V417102 = V009165 - 1. assign V379693 = V208490. assign V974204 = V064700 + 1. assign V805715 = V178957 + 1. assign V833040 = V214106 + 1. assign V395539 = V420083 + 1. assign V681076 = V421919. assign V009165 = V230365 - 1. assign V472969 = V036908 - 1. assign V431399 = V629419 - 1. assign V222742 = V133131. assign V436414 = V825622. assign V629419 = V064700. assign V498125 = V420083 + 1. assign V656853 = V701279. assign V358877 = V379693 - 1. assign V135787 = V178957. assign V015508 = V206226. assign V517896 = V302915 + 1. assign V158469 = V799308 + 1. assign V208490 = V156087 - 1. assign V707162 = V031829. assign V573788 = V517896 + 1. assign V230365 = V064700. assign V783367 = V812245 - 1. assign V371246 = V573788 - 1. assign V407090 = V459085 - 1. assign V588796 = V739567 + 1. assign V398741 = V336644. assign V756629 = V230365. assign V368932 = V256099 + 1. assign V078939 = V156087. assign V833192 = V713397 + 1. assign V492839 = V725398. assign V029797 = V783367. assign V459085 = V870030 + 1. assign V479905 = V756629 - 1. assign V089576 = V472969. assign V025325 = V902012 + 1. assign V261959 = V233143 + 1. assign V036908 = V000990 - 1. assign V902012 = V000990 - 1. assign V625871 = V208490 + 1. assign V539766 = V322998. assign V421919 = V158469. assign V725398 = V156087 - 1. assign V064700 = V208490 + 1. assign V339549 = V302915. assign V609502 = V398741 - 1. assign V420083 = V156087. assign V003954 = V981768 - 1. assign V000990 = V725398 - 1. assign V178957 = V208490 - 1. assign V913776 = V697883 + 1. assign V655445 = V256099 - 1. assign V606452 = V302915 + 1. assign V060246 = V029824 + 1. assign V206226 = V625871 - 1. assign V483219 = V029824. assign V316832 = V663702 + 1. assign V599682 = V932085. assign V667888 = V332339 + 1. assign V618103 = V981768. assign V486587 = V031829 - 1. assign V332339 = V306535 + 1. assign V370869 = V158469 - 1. assign V471376 = V591912 + 1. assign V235517 = V135787 - 1. assign V233143 = V812245. assign V696947 = V591912 + 1. assign V833825 = V420648. assign V932085 = V208490 - 1. assign V561244 = V302915 + 1. assign V701279 = V029797 + 1. assign V713397 = V256099. assign V675610 = V398741 + 1. assign V255727 = V371246 - 1. assign V870030 = V677827. assign V304194 = V932085 - 1. assign V908765 = V591912 - 1. assign V187279 = V230365. assign V248485 = V183623. assign V149450 = V888586 - 1. assign V754145 = V472969 - 1. assign V302915 = V156087 + 1. assign V663702 = V725398. assign V553989 = V000990. assign V092651 = 0. assign V946499 = V230365. assign V555594 = V625871 + 1. assign V258375 = V833040 + 1. assign V957826 = V871986 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V697883 = V812245 + 1. assign V617793 = V588662 - 1. assign V621187 = V060246 + 1. assign V387667 = V472969. assign V626731 = V310558 + 1. assign V739567 = V379693 + 1. assign V107138 = V486587 + 1. assign V212854 = V625871 - 1. assign V888586 = V420648 + 1. assign V029824 = V044179 + 1. assign V033898 = V799308 + 1. assign V256099 = V208490 - 1. assign V591912 = V415211. assign V812245 = V156087 - 1. assign V590637 = V156087. assign V031829 = V871986 + 1. assign V871751 = V208490 + 1. assign V082145 = V208490 + 1. assign V988654 = V398741 - 1. assign V252189 = V395539 + 1. assign V941118 = V677827 - 1. assign V622820 = V472969 - 1. assign V871986 = V420083 - 1. assign V231526 = V420083 + 1. assign V825622 = V302915. assign V126044 = V183623. assign V215421 = V663702 + 1. assign V310558 = V158469 + 1. assign V306535 = V231526 + 1. assign V141032 = V214106 + 1. assign V291492 = V652125 + 1. assign V044179 = V230365 + 1. assign V601155 = V133131 + 1. assign V415211 = V555594 - 1. assign V132184 = V625871 - 1. assign V343087 = V302915. assign V664871 = V029797 - 1. assign V108569 = V029824. assign V474041 = V932085 + 1. assign V056210 = V180244 - 1. assign V993247 = V302915 + 1. assign V588662 = V677827 + 1. assign V857080 = V387667 - 1. assign V840452 = V156087 - 1. assign V502908 = V156087. assign V487143 = V231526 - 1. assign V981768 = V078939 + 1. assign V133131 = V756629. assign V370104 = V126044 + 1. assign V677827 = V606452 - 1. assign V420648 = V870030. assign V923661 = V025325 - 1. assign V133603 = V833040. assign V336644 = V812245 - 1. assign V052126 = V555594 - 1. assign V370644 = V561244. assign V348605 = V833040. assign V987396 = V407090 - 1. assign V180244 = V208490. assign V577082 = V431399 - 1. assign V252928 = V871986 - 1. assign V322998 = V588662 - 1. assign V799308 = V415211 - 1. assign V965640 = V339549 + 1. assign V755645 = V459085. assign V468685 = V553989 + 1. assign V070821 = V561244. assign V861009 = V009165 + 1. assign V873902 = V316832. assign V214106 = V398741 - 1. assign V718851 = V420083 + 1. assign V563015 = V078939 + 1. assign V652125 = V840452. assign V272428 = V965640 + 1. assign V125479 = V092651 - 1. assign V947444 = V590637 + 1. assign V834085 = V339549. assign V292246 = V479905 - 1. assign V183623 = V302915. assign V596347 = V799308 - 1. assign V417102 = V009165 - 1. assign V379693 = V208490. assign V974204 = V064700 + 1. assign V805715 = V178957 + 1. assign V833040 = V214106 + 1. assign V395539 = V420083 + 1. assign V681076 = V421919. assign V009165 = V230365 - 1. assign V472969 = V036908 - 1. assign V431399 = V629419 - 1. assign V222742 = V133131. assign V436414 = V825622. assign V629419 = V064700. assign V498125 = V420083 + 1. assign V656853 = V701279. assign V358877 = V379693 - 1. assign V135787 = V178957. assign V015508 = V206226. assign V517896 = V302915 + 1. assign V158469 = V799308 + 1. assign V208490 = V156087 - 1. assign V707162 = V031829. assign V573788 = V517896 + 1. assign V230365 = V064700. assign V783367 = V812245 - 1. assign V371246 = V573788 - 1. assign V407090 = V459085 - 1. assign V588796 = V739567 + 1. assign V398741 = V336644. assign V756629 = V230365. assign V368932 = V256099 + 1. assign V078939 = V156087. assign V833192 = V713397 + 1. assign V492839 = V725398. assign V029797 = V783367. assign V459085 = V870030 + 1. assign V479905 = V756629 - 1. assign V089576 = V472969. assign V025325 = V902012 + 1. assign V261959 = V233143 + 1. assign V036908 = V000990 - 1. assign V902012 = V000990 - 1. assign V625871 = V208490 + 1. assign V539766 = V322998. assign V421919 = V158469. assign V725398 = V156087 - 1. assign V064700 = V208490 + 1. assign V339549 = V302915. assign V609502 = V398741 - 1. assign V420083 = V156087. assign V003954 = V981768 - 1. assign V000990 = V725398 - 1. assign V178957 = V208490 - 1. assign V913776 = V697883 + 1. assign V655445 = V256099 - 1. assign V606452 = V302915 + 1. assign V060246 = V029824 + 1. assign V206226 = V625871 - 1. assign V483219 = V029824. assign V316832 = V663702 + 1. assign V599682 = V932085. assign V667888 = V332339 + 1. assign V618103 = V981768. assign V486587 = V031829 - 1. assign V332339 = V306535 + 1. assign V370869 = V158469 - 1. assign V471376 = V591912 + 1. assign V235517 = V135787 - 1. assign V233143 = V812245. assign V696947 = V591912 + 1. assign V833825 = V420648. assign V932085 = V208490 - 1. assign V561244 = V302915 + 1. assign V701279 = V029797 + 1. assign V713397 = V256099. assign V675610 = V398741 + 1. assign V255727 = V371246 - 1. assign V870030 = V677827. assign V304194 = V932085 - 1. assign V908765 = V591912 - 1. assign V187279 = V230365. assign V248485 = V183623. assign V149450 = V888586 - 1. assign V754145 = V472969 - 1. assign V302915 = V156087 + 1. assign V663702 = V725398. assign V553989 = V000990. assign V092651 = 0. assign V946499 = V230365. assign V555594 = V625871 + 1. assign V258375 = V833040 + 1. assign V957826 = V871986 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV092651 = 0;\n\nFrom these direct assignment(s), we have: \nV125479 = V092651 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V125479;\nNo other variables can be derived from V092651;\n\nNow we have done all the calculations. Derived variables are:\nV092651 = 0;\nV125479 = -1;\n\nNow we have finished this problem. ANSWER:\nV092651\n", "role": "assistant" } ]

[ "V987638" ]

[ { "content": "<context>\nassign V876727 = V905492. assign V208495 = V257460 - 1. assign V370370 = V552188. assign V583050 = V508161 + 1. assign V361092 = V921690. assign V181510 = V841979. assign V084492 = V169440. assign V783449 = V084492 - 1. assign V981182 = V916552 - 1. assign V078450 = V033168 - 1. assign V504035 = V181510. assign V481954 = V133464. assign V576158 = V698419. assign V790596 = V726135. assign V885750 = V158311 - 1. assign V977058 = V181510. assign V241265 = V308841. assign V348259 = V762521 + 1. assign V649229 = V405069. assign V358415 = V344174 - 1. assign V187099 = V000711. assign V057569 = V308841 + 1. assign V757288 = V726135. assign V711071 = V583050 - 1. assign V281079 = V085642 + 1. assign V969583 = V269542 + 1. assign V394024 = V856452 - 1. assign V867547 = V481954. assign V405069 = V680746. assign V380409 = V086277. assign V703569 = V233865 + 1. assign V133464 = V838568 + 1. assign V008013 = V694295 + 1. assign V616490 = V638507. assign V345289 = V132521 - 1. assign V213545 = V968729 + 1. assign V021715 = V646993. assign V671951 = V378821 + 1. assign V880615 = V039848 + 1. assign V918723 = V169440 + 1. assign V221510 = V036094 + 1. assign V968729 = V841979. assign V154679 = V132521. assign V511662 = V646993. assign V436095 = V616490 + 1. assign V838568 = V742496 + 1. assign V030288 = V905492 + 1. assign V000711 = V680746 + 1. assign V114964 = V197406 - 1. assign V552188 = V056042 - 1. assign V808407 = V268635. assign V238971 = V345289 - 1. assign V352488 = V933461. assign V344174 = V084492 - 1. assign V423677 = V036094. assign V339413 = V511796 + 1. assign V222279 = V358415. assign V216765 = V086277. assign V020770 = V515525 + 1. assign V456559 = V742496. assign V926777 = V969583 + 1. assign V821541 = V871872 + 1. assign V521683 = V680746 - 1. assign V036094 = V838568 - 1. assign V268635 = V378821. assign V039848 = V370370. assign V510163 = V133464 - 1. assign V646993 = V181510 + 1. assign V085504 = V394024 + 1. assign V508161 = V378821. assign V593631 = V357843 + 1. assign V714304 = V481954. assign V603273 = V618317 + 1. assign V472878 = V813345. assign V871872 = V508161 + 1. assign V933461 = V742496 + 1. assign V305220 = V587176. assign V310818 = V405069 - 1. assign V109141 = V742496 + 1. assign V196298 = V871872 - 1. assign V056042 = V508161 + 1. assign V098678 = V268635 - 1. assign V257460 = V711071 + 1. assign V942891 = V583050 + 1. assign V209360 = V268635 + 1. assign V338823 = V109141 - 1. assign V921690 = V871872. assign V841100 = V085504 - 1. assign V479749 = V344174. assign V916552 = V378821. assign V169440 = V132521. assign V880871 = V942891 + 1. assign V447994 = V757288 + 1. assign V762521 = V187099 - 1. assign V431158 = V968729 - 1. assign V230346 = V169440. assign V726233 = V169440 - 1. assign V778465 = V394024 + 1. assign V085642 = V726135 + 1. assign V763538 = V209360 - 1. assign V158311 = V133464. assign V580002 = V726135. assign V927774 = V726135 + 1. assign V357843 = V086277 - 1. assign V680029 = V020770. assign V283597 = V778465. assign V081511 = V583050. assign V067271 = V977058 - 1. assign V943970 = V987638 + 1. assign V638507 = V247384 + 1. assign V766915 = V773167 - 1. assign V363778 = V056042 - 1. assign V308841 = V358415. assign V726135 = V132521 - 1. assign V757953 = V867547 + 1. assign V995490 = V916552 - 1. assign V044830 = V813345. assign V856452 = V726135 + 1. assign V925639 = V132521. assign V160366 = V348259. assign V342597 = V650560 - 1. assign V197406 = V511796 + 1. assign V447461 = V269542. assign V078339 = V169440. assign V673830 = V856452. assign V977882 = V436095 + 1. assign V289549 = V726135. assign V260317 = V933461. assign V264621 = V649229 + 1. assign V270572 = V247384. assign V680746 = V698419 + 1. assign V247384 = V871872 + 1. assign V269542 = V942891 + 1. assign V325291 = V181510 - 1. assign V618317 = V132521. assign V772404 = V867547 - 1. assign V916581 = V977058 - 1. assign V813345 = V213545 - 1. assign V905354 = V603273 - 1. assign V383536 = V166383 - 1. assign V233865 = V133464 + 1. assign V719978 = V778465 - 1. assign V987638 = 1. assign V166383 = V270572 - 1. assign V059700 = V680746 - 1. assign V587176 = V268635 + 1. assign V742496 = V132521 - 1. assign V515525 = V405069 + 1. assign V690205 = V711071. assign V376654 = V230346. assign V683999 = V181510 - 1. assign V033168 = V086277 + 1. assign V344468 = V618317 - 1. assign V787402 = V241265 + 1. assign V659839 = V436095 - 1. assign V176203 = V583050. assign V606823 = V222279 - 1. assign V086277 = V325291 - 1. assign V224667 = V456559. assign V355308 = V176203. assign V601750 = V580002 + 1. assign V738605 = V583050 - 1. assign V378821 = V169440 - 1. assign V511796 = V036094 + 1. assign V132521 = V698419. assign V992089 = V698419 + 1. assign V694295 = V056042. assign V841979 = V084492. assign V650560 = V616490. assign V773167 = V871872 - 1. assign V703293 = V638507 - 1. assign V905492 = V680746 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V876727 = V905492. assign V208495 = V257460 - 1. assign V370370 = V552188. assign V583050 = V508161 + 1. assign V361092 = V921690. assign V181510 = V841979. assign V084492 = V169440. assign V783449 = V084492 - 1. assign V981182 = V916552 - 1. assign V078450 = V033168 - 1. assign V504035 = V181510. assign V481954 = V133464. assign V576158 = V698419. assign V790596 = V726135. assign V885750 = V158311 - 1. assign V977058 = V181510. assign V241265 = V308841. assign V348259 = V762521 + 1. assign V649229 = V405069. assign V358415 = V344174 - 1. assign V187099 = V000711. assign V057569 = V308841 + 1. assign V757288 = V726135. assign V711071 = V583050 - 1. assign V281079 = V085642 + 1. assign V969583 = V269542 + 1. assign V394024 = V856452 - 1. assign V867547 = V481954. assign V405069 = V680746. assign V380409 = V086277. assign V703569 = V233865 + 1. assign V133464 = V838568 + 1. assign V008013 = V694295 + 1. assign V616490 = V638507. assign V345289 = V132521 - 1. assign V213545 = V968729 + 1. assign V021715 = V646993. assign V671951 = V378821 + 1. assign V880615 = V039848 + 1. assign V918723 = V169440 + 1. assign V221510 = V036094 + 1. assign V968729 = V841979. assign V154679 = V132521. assign V511662 = V646993. assign V436095 = V616490 + 1. assign V838568 = V742496 + 1. assign V030288 = V905492 + 1. assign V000711 = V680746 + 1. assign V114964 = V197406 - 1. assign V552188 = V056042 - 1. assign V808407 = V268635. assign V238971 = V345289 - 1. assign V352488 = V933461. assign V344174 = V084492 - 1. assign V423677 = V036094. assign V339413 = V511796 + 1. assign V222279 = V358415. assign V216765 = V086277. assign V020770 = V515525 + 1. assign V456559 = V742496. assign V926777 = V969583 + 1. assign V821541 = V871872 + 1. assign V521683 = V680746 - 1. assign V036094 = V838568 - 1. assign V268635 = V378821. assign V039848 = V370370. assign V510163 = V133464 - 1. assign V646993 = V181510 + 1. assign V085504 = V394024 + 1. assign V508161 = V378821. assign V593631 = V357843 + 1. assign V714304 = V481954. assign V603273 = V618317 + 1. assign V472878 = V813345. assign V871872 = V508161 + 1. assign V933461 = V742496 + 1. assign V305220 = V587176. assign V310818 = V405069 - 1. assign V109141 = V742496 + 1. assign V196298 = V871872 - 1. assign V056042 = V508161 + 1. assign V098678 = V268635 - 1. assign V257460 = V711071 + 1. assign V942891 = V583050 + 1. assign V209360 = V268635 + 1. assign V338823 = V109141 - 1. assign V921690 = V871872. assign V841100 = V085504 - 1. assign V479749 = V344174. assign V916552 = V378821. assign V169440 = V132521. assign V880871 = V942891 + 1. assign V447994 = V757288 + 1. assign V762521 = V187099 - 1. assign V431158 = V968729 - 1. assign V230346 = V169440. assign V726233 = V169440 - 1. assign V778465 = V394024 + 1. assign V085642 = V726135 + 1. assign V763538 = V209360 - 1. assign V158311 = V133464. assign V580002 = V726135. assign V927774 = V726135 + 1. assign V357843 = V086277 - 1. assign V680029 = V020770. assign V283597 = V778465. assign V081511 = V583050. assign V067271 = V977058 - 1. assign V943970 = V987638 + 1. assign V638507 = V247384 + 1. assign V766915 = V773167 - 1. assign V363778 = V056042 - 1. assign V308841 = V358415. assign V726135 = V132521 - 1. assign V757953 = V867547 + 1. assign V995490 = V916552 - 1. assign V044830 = V813345. assign V856452 = V726135 + 1. assign V925639 = V132521. assign V160366 = V348259. assign V342597 = V650560 - 1. assign V197406 = V511796 + 1. assign V447461 = V269542. assign V078339 = V169440. assign V673830 = V856452. assign V977882 = V436095 + 1. assign V289549 = V726135. assign V260317 = V933461. assign V264621 = V649229 + 1. assign V270572 = V247384. assign V680746 = V698419 + 1. assign V247384 = V871872 + 1. assign V269542 = V942891 + 1. assign V325291 = V181510 - 1. assign V618317 = V132521. assign V772404 = V867547 - 1. assign V916581 = V977058 - 1. assign V813345 = V213545 - 1. assign V905354 = V603273 - 1. assign V383536 = V166383 - 1. assign V233865 = V133464 + 1. assign V719978 = V778465 - 1. assign V987638 = 1. assign V166383 = V270572 - 1. assign V059700 = V680746 - 1. assign V587176 = V268635 + 1. assign V742496 = V132521 - 1. assign V515525 = V405069 + 1. assign V690205 = V711071. assign V376654 = V230346. assign V683999 = V181510 - 1. assign V033168 = V086277 + 1. assign V344468 = V618317 - 1. assign V787402 = V241265 + 1. assign V659839 = V436095 - 1. assign V176203 = V583050. assign V606823 = V222279 - 1. assign V086277 = V325291 - 1. assign V224667 = V456559. assign V355308 = V176203. assign V601750 = V580002 + 1. assign V738605 = V583050 - 1. assign V378821 = V169440 - 1. assign V511796 = V036094 + 1. assign V132521 = V698419. assign V992089 = V698419 + 1. assign V694295 = V056042. assign V841979 = V084492. assign V650560 = V616490. assign V773167 = V871872 - 1. assign V703293 = V638507 - 1. assign V905492 = V680746 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV987638 = 1;\n\nFrom these direct assignment(s), we have: \nV943970 = V987638 + 1 = 1 + 1 =2;\nNo other variables can be derived from V943970;\nNo other variables can be derived from V987638;\n\nNow we have done all the calculations. Derived variables are:\nV987638 = 1;\nV943970 = 2;\n\nNow we have finished this problem. ANSWER:\nV987638\n", "role": "assistant" } ]