Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k

like 0

[ "V775711" ]

[ { "content": "<context>\nassign V790833 = V579777 - 1. assign V836857 = V595839. assign V055449 = V860424 + 1. assign V169777 = V038409 + 1. assign V120981 = V446639. assign V296704 = V440294. assign V986014 = V195639. assign V688678 = V716733. assign V847468 = V762286 + 1. assign V650673 = V933704. assign V663585 = V589975. assign V436989 = V266144. assign V216447 = V663585 - 1. assign V798134 = V762286 - 1. assign V018346 = V266144 + 1. assign V888963 = V446814. assign V809812 = V936250 + 1. assign V175831 = V579777 - 1. assign V544322 = V245934 - 1. assign V202226 = V461962. assign V171028 = V961289. assign V762286 = V860424 + 1. assign V633199 = V311460. assign V575502 = V665317 - 1. assign V501731 = V920769 - 1. assign V701532 = V021447 - 1. assign V438030 = V712328 + 1. assign V818224 = V510671 - 1. assign V959583 = V505529 + 1. assign V599099 = V319128 - 1. assign V860424 = V018346 + 1. assign V653875 = V966112. assign V490892 = V775711 + 1. assign V184686 = V712328 - 1. assign V702352 = V296704. assign V443427 = V289741. assign V446639 = V187793 + 1. assign V360314 = V860424 - 1. assign V975002 = V169777 - 1. assign V900982 = V741779 + 1. assign V800781 = V171028 + 1. assign V446814 = V190317 - 1. assign V985033 = V018346. assign V471325 = V782689 - 1. assign V536962 = V289741 - 1. assign V782689 = V464866. assign V741779 = V569920 + 1. assign V313587 = V506203. assign V190800 = V685065 - 1. assign V444562 = V195850. assign V319128 = V318575 - 1. assign V646915 = V289741. assign V311460 = V289741. assign V747758 = V175831 + 1. assign V290955 = V461962. assign V816286 = V716633. assign V685065 = V171028 - 1. assign V506203 = V461962. assign V224627 = V482572 - 1. assign V933704 = V598019. assign V464866 = V289741. assign V195639 = V712560. assign V572674 = V195850 - 1. assign V318575 = V289741 - 1. assign V195850 = V510671. assign V579777 = V966112 + 1. assign V775711 = 6. assign V496511 = V403091. assign V712328 = V310669 + 1. assign V712560 = V961289 + 1. assign V758295 = V360314 + 1. assign V757356 = V961289 - 1. assign V478298 = V311460 - 1. assign V291774 = V173753 - 1. assign V061999 = V758295 - 1. assign V649007 = V758295. assign V552128 = V446814 + 1. assign V846977 = V195639 + 1. assign V109304 = V836857 + 1. assign V597033 = V245934 + 1. assign V461962 = V569920. assign V191960 = V434757 - 1. assign V299084 = V478298 + 1. assign V702307 = V335038. assign V021447 = V664956 + 1. assign V860722 = V289741. assign V245934 = V762286 - 1. assign V897120 = V860424 + 1. assign V797758 = V649007 + 1. assign V505529 = V464866. assign V785346 = V989507 - 1. assign V363984 = V716733 - 1. assign V335038 = V310669 - 1. assign V473600 = V782689. assign V664956 = V228474. assign V606016 = V603696 - 1. assign V289741 = V936250 - 1. assign V968944 = V779890 + 1. assign V408070 = V296704. assign V872094 = V363984 + 1. assign V403091 = V434757. assign V187793 = V340535 + 1. assign V024495 = V482572 - 1. assign V650239 = V664956 - 1. assign V190317 = V762286 + 1. assign V493401 = V018346. assign V716633 = V595839. assign V963622 = V461962. assign V093347 = V758295. assign V855933 = V018346 + 1. assign V433391 = V171028 - 1. assign V193392 = V959583 - 1. assign V047685 = V493401 + 1. assign V440294 = V501731. assign V989507 = V266144 - 1. assign V595839 = V436989 - 1. assign V951442 = V985033 - 1. assign V665317 = V809812 - 1. assign V480042 = V836857 + 1. assign V779890 = V510671 + 1. assign V589975 = V598019 + 1. assign V603696 = V933704 - 1. assign V715238 = V360314 - 1. assign V937120 = V266144 - 1. assign V223620 = V340535 - 1. assign V888328 = V434757 + 1. assign V034112 = V665317 - 1. assign V719014 = V313587. assign V228474 = V047685 - 1. assign V075702 = V544322 + 1. assign V434757 = V989507 - 1. assign V859192 = V360314 - 1. assign V919520 = V510671. assign V716733 = V047685. assign V340535 = V936250. assign V598019 = V266144 - 1. assign V519077 = V021447 - 1. assign V070229 = V190800 + 1. assign V216937 = V836857 - 1. assign V480912 = V482572. assign V966112 = V595839 - 1. assign V631342 = V289741 + 1. assign V138847 = V598019. assign V173753 = V070229 - 1. assign V961289 = V289741 + 1. assign V310669 = V782689. assign V038409 = V598019 - 1. assign V962420 = V860424. assign V936250 = V860424. assign V482572 = V966112. assign V183501 = V860424. assign V786056 = V544322 + 1. assign V766723 = V599099 - 1. assign V618647 = V936250 - 1. assign V342604 = V723849 - 1. assign V730269 = V080728 + 1. assign V832813 = V816286. assign V774010 = V350374 + 1. assign V187571 = V650239 + 1. assign V778551 = V606016 + 1. assign V231283 = V595839. assign V085158 = V673760 - 1. assign V447038 = V572674 - 1. assign V920769 = V762286 + 1. assign V350374 = V536962 - 1. assign V673760 = V310669 + 1. assign V569920 = V493401. assign V075842 = V800781. assign V723849 = V966112 + 1. assign V982397 = V436989 - 1. assign V080728 = V296704 + 1. assign V510671 = V859192 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V790833 = V579777 - 1. assign V836857 = V595839. assign V055449 = V860424 + 1. assign V169777 = V038409 + 1. assign V120981 = V446639. assign V296704 = V440294. assign V986014 = V195639. assign V688678 = V716733. assign V847468 = V762286 + 1. assign V650673 = V933704. assign V663585 = V589975. assign V436989 = V266144. assign V216447 = V663585 - 1. assign V798134 = V762286 - 1. assign V018346 = V266144 + 1. assign V888963 = V446814. assign V809812 = V936250 + 1. assign V175831 = V579777 - 1. assign V544322 = V245934 - 1. assign V202226 = V461962. assign V171028 = V961289. assign V762286 = V860424 + 1. assign V633199 = V311460. assign V575502 = V665317 - 1. assign V501731 = V920769 - 1. assign V701532 = V021447 - 1. assign V438030 = V712328 + 1. assign V818224 = V510671 - 1. assign V959583 = V505529 + 1. assign V599099 = V319128 - 1. assign V860424 = V018346 + 1. assign V653875 = V966112. assign V490892 = V775711 + 1. assign V184686 = V712328 - 1. assign V702352 = V296704. assign V443427 = V289741. assign V446639 = V187793 + 1. assign V360314 = V860424 - 1. assign V975002 = V169777 - 1. assign V900982 = V741779 + 1. assign V800781 = V171028 + 1. assign V446814 = V190317 - 1. assign V985033 = V018346. assign V471325 = V782689 - 1. assign V536962 = V289741 - 1. assign V782689 = V464866. assign V741779 = V569920 + 1. assign V313587 = V506203. assign V190800 = V685065 - 1. assign V444562 = V195850. assign V319128 = V318575 - 1. assign V646915 = V289741. assign V311460 = V289741. assign V747758 = V175831 + 1. assign V290955 = V461962. assign V816286 = V716633. assign V685065 = V171028 - 1. assign V506203 = V461962. assign V224627 = V482572 - 1. assign V933704 = V598019. assign V464866 = V289741. assign V195639 = V712560. assign V572674 = V195850 - 1. assign V318575 = V289741 - 1. assign V195850 = V510671. assign V579777 = V966112 + 1. assign V775711 = 6. assign V496511 = V403091. assign V712328 = V310669 + 1. assign V712560 = V961289 + 1. assign V758295 = V360314 + 1. assign V757356 = V961289 - 1. assign V478298 = V311460 - 1. assign V291774 = V173753 - 1. assign V061999 = V758295 - 1. assign V649007 = V758295. assign V552128 = V446814 + 1. assign V846977 = V195639 + 1. assign V109304 = V836857 + 1. assign V597033 = V245934 + 1. assign V461962 = V569920. assign V191960 = V434757 - 1. assign V299084 = V478298 + 1. assign V702307 = V335038. assign V021447 = V664956 + 1. assign V860722 = V289741. assign V245934 = V762286 - 1. assign V897120 = V860424 + 1. assign V797758 = V649007 + 1. assign V505529 = V464866. assign V785346 = V989507 - 1. assign V363984 = V716733 - 1. assign V335038 = V310669 - 1. assign V473600 = V782689. assign V664956 = V228474. assign V606016 = V603696 - 1. assign V289741 = V936250 - 1. assign V968944 = V779890 + 1. assign V408070 = V296704. assign V872094 = V363984 + 1. assign V403091 = V434757. assign V187793 = V340535 + 1. assign V024495 = V482572 - 1. assign V650239 = V664956 - 1. assign V190317 = V762286 + 1. assign V493401 = V018346. assign V716633 = V595839. assign V963622 = V461962. assign V093347 = V758295. assign V855933 = V018346 + 1. assign V433391 = V171028 - 1. assign V193392 = V959583 - 1. assign V047685 = V493401 + 1. assign V440294 = V501731. assign V989507 = V266144 - 1. assign V595839 = V436989 - 1. assign V951442 = V985033 - 1. assign V665317 = V809812 - 1. assign V480042 = V836857 + 1. assign V779890 = V510671 + 1. assign V589975 = V598019 + 1. assign V603696 = V933704 - 1. assign V715238 = V360314 - 1. assign V937120 = V266144 - 1. assign V223620 = V340535 - 1. assign V888328 = V434757 + 1. assign V034112 = V665317 - 1. assign V719014 = V313587. assign V228474 = V047685 - 1. assign V075702 = V544322 + 1. assign V434757 = V989507 - 1. assign V859192 = V360314 - 1. assign V919520 = V510671. assign V716733 = V047685. assign V340535 = V936250. assign V598019 = V266144 - 1. assign V519077 = V021447 - 1. assign V070229 = V190800 + 1. assign V216937 = V836857 - 1. assign V480912 = V482572. assign V966112 = V595839 - 1. assign V631342 = V289741 + 1. assign V138847 = V598019. assign V173753 = V070229 - 1. assign V961289 = V289741 + 1. assign V310669 = V782689. assign V038409 = V598019 - 1. assign V962420 = V860424. assign V936250 = V860424. assign V482572 = V966112. assign V183501 = V860424. assign V786056 = V544322 + 1. assign V766723 = V599099 - 1. assign V618647 = V936250 - 1. assign V342604 = V723849 - 1. assign V730269 = V080728 + 1. assign V832813 = V816286. assign V774010 = V350374 + 1. assign V187571 = V650239 + 1. assign V778551 = V606016 + 1. assign V231283 = V595839. assign V085158 = V673760 - 1. assign V447038 = V572674 - 1. assign V920769 = V762286 + 1. assign V350374 = V536962 - 1. assign V673760 = V310669 + 1. assign V569920 = V493401. assign V075842 = V800781. assign V723849 = V966112 + 1. assign V982397 = V436989 - 1. assign V080728 = V296704 + 1. assign V510671 = V859192 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV775711 = 6;\n\nFrom these direct assignment(s), we have: \nV490892 = V775711 + 1 = 6 + 1 =7;\nNo other variables can be derived from V490892;\nNo other variables can be derived from V775711;\n\nNow we have done all the calculations. Derived variables are:\nV775711 = 6;\nV490892 = 7;\n\nNow we have finished this problem. ANSWER:\nV775711\n", "role": "assistant" } ]

[ "V879696" ]

[ { "content": "<context>\nassign V819429 = V246942 + 1. assign V182269 = V558743 - 1. assign V193937 = V741204. assign V501812 = V130303 - 1. assign V810353 = V450170. assign V527058 = V751849 + 1. assign V634391 = V876761. assign V200905 = V917194. assign V974869 = V699223 - 1. assign V741204 = V450170. assign V575020 = V935037. assign V212458 = V571137 - 1. assign V691275 = V071517. assign V598254 = V575020 - 1. assign V135200 = V565335 + 1. assign V889939 = V309286 - 1. assign V700667 = V093492 + 1. assign V483823 = V579498. assign V093492 = V403691 + 1. assign V678645 = V885727 - 1. assign V441325 = V226343 + 1. assign V464028 = V889939. assign V299156 = V071517 + 1. assign V699223 = V711908 - 1. assign V428627 = V299161. assign V760764 = V340907 + 1. assign V879696 = 1. assign V450170 = V378121 - 1. assign V966038 = V935037 - 1. assign V461183 = V292697 - 1. assign V246942 = V370515 - 1. assign V694298 = V997168 - 1. assign V408193 = V664765 - 1. assign V179545 = V575020 - 1. assign V041342 = V264392 - 1. assign V885727 = V198675 + 1. assign V837091 = V179545. assign V039524 = V198278 - 1. assign V202506 = V429944 + 1. assign V439851 = V469701 - 1. assign V955967 = V378121 - 1. assign V404180 = V142923 + 1. assign V018886 = V917194 - 1. assign V957700 = V298238. assign V978351 = V835957 - 1. assign V130303 = V527058 - 1. assign V345348 = V198675 - 1. assign V229695 = V691275 - 1. assign V720972 = V050748 - 1. assign V937636 = V575020 - 1. assign V648064 = V093492 + 1. assign V552235 = V445050 - 1. assign V445050 = V299161 + 1. assign V464894 = V733347 - 1. assign V548515 = V879696 - 1. assign V748524 = V983187 + 1. assign V660314 = V925270 + 1. assign V403691 = V299156 - 1. assign V112433 = V198278. assign V662341 = V182269. assign V296577 = V235124 - 1. assign V659633 = V571884 - 1. assign V864472 = V716572 - 1. assign V177758 = V955967. assign V716572 = V404180 - 1. assign V195480 = V837091 + 1. assign V621448 = V378121 + 1. assign V050748 = V441325. assign V098407 = V226343 - 1. assign V733347 = V378121 + 1. assign V741954 = V698030 - 1. assign V973988 = V099812. assign V474799 = V345348 + 1. assign V091647 = V094714 - 1. assign V171260 = V142923 - 1. assign V378121 = V226343 + 1. assign V488696 = V720972. assign V180350 = V876761 + 1. assign V550179 = V378121. assign V553219 = V299156 + 1. assign V203804 = V267434 + 1. assign V935037 = V226343. assign V983187 = V699223 - 1. assign V071517 = V441325 + 1. assign V711981 = V976961 - 1. assign V267434 = V167572 + 1. assign V537441 = V378121 + 1. assign V167572 = V935037 + 1. assign V099812 = V071517. assign V198675 = V235124 - 1. assign V698030 = V198278 + 1. assign V405123 = V193937 - 1. assign V835957 = V917194. assign V094714 = V966038 - 1. assign V298238 = V177758. assign V070512 = V201109. assign V883616 = V751849 + 1. assign V565335 = V018886 + 1. assign V917194 = V099812 - 1. assign V749652 = V483823 - 1. assign V201109 = V200905 - 1. assign V431611 = V699223. assign V270539 = V691275 + 1. assign V971415 = V571884 - 1. assign V073484 = V292697. assign V142923 = V955967 - 1. assign V997168 = V699223 - 1. assign V429944 = V292697 - 1. assign V871876 = V879373. assign V957169 = V235124. assign V106494 = V403691 + 1. assign V398449 = V550179. assign V340907 = V142923. assign V969654 = V976961. assign V616637 = V198278. assign V711908 = V098407 - 1. assign V458749 = V267434 + 1. assign V879373 = V720972. assign V264392 = V935037 + 1. assign V120550 = V130303. assign V775277 = V634391. assign V235124 = V050748. assign V571137 = V226343. assign V925270 = V464894 + 1. assign V123966 = V698030 + 1. assign V532975 = V200905 + 1. assign V573518 = V664765. assign V015981 = V404180 - 1. assign V579374 = V130303 - 1. assign V976961 = V299156. assign V292697 = V270539 - 1. assign V637060 = V840393 + 1. assign V345624 = V093492 + 1. assign V571884 = V973988 - 1. assign V299161 = V098407. assign V618604 = V748524 - 1. assign V876761 = V123966 + 1. assign V406828 = V270539 + 1. assign V318940 = V177758 + 1. assign V670759 = V099812 - 1. assign V198278 = V441325 - 1. assign V415457 = V716572. assign V865427 = V749652 - 1. assign V654703 = V171260. assign V370515 = V876761. assign V198749 = V749652 - 1. assign V009798 = V428627 + 1. assign V206956 = V177758. assign V936889 = V537441 - 1. assign V705375 = V571884 - 1. assign V046179 = V299156. assign V153119 = V840393 + 1. assign V945974 = V889939 + 1. assign V840393 = V527058 - 1. assign V754600 = V974869 - 1. assign V339971 = V450170. assign V331751 = V711981 - 1. assign V751849 = V050748. assign V124737 = V309286 - 1. assign V558743 = V699223. assign V579498 = V015981. assign V248124 = V167572 - 1. assign V885451 = V527058 - 1. assign V110382 = V579498 + 1. assign V760735 = V378121 - 1. assign V469701 = V267434. assign V642271 = V754600 - 1. assign V664765 = V167572 - 1. assign V222753 = V711908 + 1. assign V436589 = V537441 + 1. assign V994080 = V206956 + 1. assign V309286 = V050748 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V819429 = V246942 + 1. assign V182269 = V558743 - 1. assign V193937 = V741204. assign V501812 = V130303 - 1. assign V810353 = V450170. assign V527058 = V751849 + 1. assign V634391 = V876761. assign V200905 = V917194. assign V974869 = V699223 - 1. assign V741204 = V450170. assign V575020 = V935037. assign V212458 = V571137 - 1. assign V691275 = V071517. assign V598254 = V575020 - 1. assign V135200 = V565335 + 1. assign V889939 = V309286 - 1. assign V700667 = V093492 + 1. assign V483823 = V579498. assign V093492 = V403691 + 1. assign V678645 = V885727 - 1. assign V441325 = V226343 + 1. assign V464028 = V889939. assign V299156 = V071517 + 1. assign V699223 = V711908 - 1. assign V428627 = V299161. assign V760764 = V340907 + 1. assign V879696 = 1. assign V450170 = V378121 - 1. assign V966038 = V935037 - 1. assign V461183 = V292697 - 1. assign V246942 = V370515 - 1. assign V694298 = V997168 - 1. assign V408193 = V664765 - 1. assign V179545 = V575020 - 1. assign V041342 = V264392 - 1. assign V885727 = V198675 + 1. assign V837091 = V179545. assign V039524 = V198278 - 1. assign V202506 = V429944 + 1. assign V439851 = V469701 - 1. assign V955967 = V378121 - 1. assign V404180 = V142923 + 1. assign V018886 = V917194 - 1. assign V957700 = V298238. assign V978351 = V835957 - 1. assign V130303 = V527058 - 1. assign V345348 = V198675 - 1. assign V229695 = V691275 - 1. assign V720972 = V050748 - 1. assign V937636 = V575020 - 1. assign V648064 = V093492 + 1. assign V552235 = V445050 - 1. assign V445050 = V299161 + 1. assign V464894 = V733347 - 1. assign V548515 = V879696 - 1. assign V748524 = V983187 + 1. assign V660314 = V925270 + 1. assign V403691 = V299156 - 1. assign V112433 = V198278. assign V662341 = V182269. assign V296577 = V235124 - 1. assign V659633 = V571884 - 1. assign V864472 = V716572 - 1. assign V177758 = V955967. assign V716572 = V404180 - 1. assign V195480 = V837091 + 1. assign V621448 = V378121 + 1. assign V050748 = V441325. assign V098407 = V226343 - 1. assign V733347 = V378121 + 1. assign V741954 = V698030 - 1. assign V973988 = V099812. assign V474799 = V345348 + 1. assign V091647 = V094714 - 1. assign V171260 = V142923 - 1. assign V378121 = V226343 + 1. assign V488696 = V720972. assign V180350 = V876761 + 1. assign V550179 = V378121. assign V553219 = V299156 + 1. assign V203804 = V267434 + 1. assign V935037 = V226343. assign V983187 = V699223 - 1. assign V071517 = V441325 + 1. assign V711981 = V976961 - 1. assign V267434 = V167572 + 1. assign V537441 = V378121 + 1. assign V167572 = V935037 + 1. assign V099812 = V071517. assign V198675 = V235124 - 1. assign V698030 = V198278 + 1. assign V405123 = V193937 - 1. assign V835957 = V917194. assign V094714 = V966038 - 1. assign V298238 = V177758. assign V070512 = V201109. assign V883616 = V751849 + 1. assign V565335 = V018886 + 1. assign V917194 = V099812 - 1. assign V749652 = V483823 - 1. assign V201109 = V200905 - 1. assign V431611 = V699223. assign V270539 = V691275 + 1. assign V971415 = V571884 - 1. assign V073484 = V292697. assign V142923 = V955967 - 1. assign V997168 = V699223 - 1. assign V429944 = V292697 - 1. assign V871876 = V879373. assign V957169 = V235124. assign V106494 = V403691 + 1. assign V398449 = V550179. assign V340907 = V142923. assign V969654 = V976961. assign V616637 = V198278. assign V711908 = V098407 - 1. assign V458749 = V267434 + 1. assign V879373 = V720972. assign V264392 = V935037 + 1. assign V120550 = V130303. assign V775277 = V634391. assign V235124 = V050748. assign V571137 = V226343. assign V925270 = V464894 + 1. assign V123966 = V698030 + 1. assign V532975 = V200905 + 1. assign V573518 = V664765. assign V015981 = V404180 - 1. assign V579374 = V130303 - 1. assign V976961 = V299156. assign V292697 = V270539 - 1. assign V637060 = V840393 + 1. assign V345624 = V093492 + 1. assign V571884 = V973988 - 1. assign V299161 = V098407. assign V618604 = V748524 - 1. assign V876761 = V123966 + 1. assign V406828 = V270539 + 1. assign V318940 = V177758 + 1. assign V670759 = V099812 - 1. assign V198278 = V441325 - 1. assign V415457 = V716572. assign V865427 = V749652 - 1. assign V654703 = V171260. assign V370515 = V876761. assign V198749 = V749652 - 1. assign V009798 = V428627 + 1. assign V206956 = V177758. assign V936889 = V537441 - 1. assign V705375 = V571884 - 1. assign V046179 = V299156. assign V153119 = V840393 + 1. assign V945974 = V889939 + 1. assign V840393 = V527058 - 1. assign V754600 = V974869 - 1. assign V339971 = V450170. assign V331751 = V711981 - 1. assign V751849 = V050748. assign V124737 = V309286 - 1. assign V558743 = V699223. assign V579498 = V015981. assign V248124 = V167572 - 1. assign V885451 = V527058 - 1. assign V110382 = V579498 + 1. assign V760735 = V378121 - 1. assign V469701 = V267434. assign V642271 = V754600 - 1. assign V664765 = V167572 - 1. assign V222753 = V711908 + 1. assign V436589 = V537441 + 1. assign V994080 = V206956 + 1. assign V309286 = V050748 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV879696 = 1;\n\nFrom these direct assignment(s), we have: \nV548515 = V879696 - 1 = 1 - 1 =0;\nNo other variables can be derived from V548515;\nNo other variables can be derived from V879696;\n\nNow we have done all the calculations. Derived variables are:\nV879696 = 1;\nV548515 = 0;\n\nNow we have finished this problem. ANSWER:\nV879696\n", "role": "assistant" } ]

[ "V009883", "V540643" ]

[ { "content": "<context>\nassign V459913 = V550637. assign V592813 = V285188 + 1. assign V778257 = V720504 - 1. assign V699011 = V001216. assign V923995 = V424911. assign V518215 = V786607 - 1. assign V402262 = V302438 - 1. assign V053257 = V427677. assign V425251 = V798668 + 1. assign V043643 = V425251 - 1. assign V050899 = V842868 + 1. assign V953081 = V703588. assign V853313 = V683989. assign V736674 = V412230. assign V871797 = V233622. assign V648050 = V942379 - 1. assign V842229 = V173058 + 1. assign V827155 = V923995 + 1. assign V842868 = V720504. assign V302438 = V414582 - 1. assign V102320 = V487650 + 1. assign V853796 = V531396 - 1. assign V626812 = V622430 + 1. assign V798668 = V942379 + 1. assign V858142 = V942379 - 1. assign V995068 = V929483. assign V671785 = V424911. assign V922796 = V773930 - 1. assign V160651 = V648050 + 1. assign V858011 = V082525 - 1. assign V226275 = V173058 + 1. assign V764284 = V793722 + 1. assign V929483 = V111211 + 1. assign V785553 = V846536. assign V750412 = V514168 + 1. assign V784876 = V462040 - 1. assign V627845 = V624146 - 1. assign V416806 = V538349 + 1. assign V670085 = V471687 + 1. assign V940333 = V867419 + 1. assign V519141 = V377084 + 1. assign V355535 = V082525 - 1. assign V052529 = V871932 + 1. assign V783466 = V793722 - 1. assign V275410 = V209994 + 1. assign V485282 = V940333. assign V918103 = V404644 + 1. assign V049112 = V798668. assign V111211 = V703588 - 1. assign V400054 = V050899. assign V755510 = V355535 - 1. assign V606721 = V330871 - 1. assign V458841 = V485282. assign V284157 = V052529 + 1. assign V093474 = V487650 + 1. assign V859141 = V414582 - 1. assign V414582 = V856220. assign V885895 = V778257 - 1. assign V622430 = V518079 + 1. assign V330871 = V850672 + 1. assign V686289 = V953081 + 1. assign V987132 = V736674 + 1. assign V958493 = V786607 - 1. assign V732070 = V330871 + 1. assign V295252 = V842868 - 1. assign V991612 = V498987 + 1. assign V063016 = V786607. assign V050409 = V549008 + 1. assign V982095 = V330871. assign V636929 = V991612. assign V084460 = V858011 - 1. assign V598294 = V755510 - 1. assign V427677 = V505850 - 1. assign V266672 = V377084. assign V322208 = V987132 - 1. assign V420332 = V867419. assign V082525 = V720504. assign V740729 = V720504 + 1. assign V272321 = V404644 + 1. assign V174216 = V755510 + 1. assign V801259 = V846536. assign V471687 = V622430. assign V507023 = V846536. assign V850672 = V082525 + 1. assign V514168 = V302438. assign V867419 = V498987 - 1. assign V404644 = V189413. assign V984648 = V622430. assign V790776 = V330871. assign V683989 = V740729 + 1. assign V942379 = V947480. assign V318709 = V519141 + 1. assign V515607 = V480829 - 1. assign V197014 = V801259. assign V044841 = V404644. assign V256096 = V479833 - 1. assign V574750 = V942379 - 1. assign V590320 = V507543. assign V462040 = V507023 - 1. assign V743003 = V871932. assign V871932 = V798668 - 1. assign V549419 = V947480 - 1. assign V412230 = V683989 - 1. assign V865319 = V783466. assign V549008 = V507023 + 1. assign V095777 = V427677. assign V498987 = V846536. assign V783701 = V793722. assign V121111 = V929483 - 1. assign V290581 = V720504. assign V382316 = V524800 - 1. assign V350261 = V940333 - 1. assign V085828 = V006966 - 1. assign V786607 = V507023 + 1. assign V922190 = V648050. assign V006966 = V858011 + 1. assign V116182 = V720504 - 1. assign V703588 = V720504 - 1. assign V947480 = V940333 - 1. assign V189413 = V518079 - 1. assign V524800 = V885895 - 1. assign V505850 = V783701 + 1. assign V009883 = 4. assign V550637 = V923995. assign V846536 = V740729. assign V392907 = V871932 - 1. assign V703773 = V404644. assign V739741 = V050409 - 1. assign V518079 = V683989. assign V377084 = V785553 - 1. assign V368457 = V549419 - 1. assign V793722 = V850672. assign V285188 = V846536 + 1. assign V216306 = V703588 - 1. assign V487650 = V424911 + 1. assign V424911 = V740729 - 1. assign V688465 = V784876 + 1. assign V505771 = V256096. assign V001216 = V480829. assign V173058 = V929483. assign V079523 = V189413. assign V473218 = V850672. assign V840368 = V515607 + 1. assign V773930 = V275410 + 1. assign V126483 = V173058 - 1. assign V856220 = V671785 + 1. assign V879157 = V783466 - 1. assign V233622 = V160651 - 1. assign V710100 = V524800. assign V177029 = V636929 + 1. assign V540643 = V009883. assign V538349 = V487650 + 1. assign V668222 = V404644 + 1. assign V799561 = V519141 + 1. assign V423085 = V355535 - 1. assign V521665 = V783701. assign V624146 = V590320. assign V938630 = V424911. assign V531396 = V427677. assign V479833 = V498987 - 1. assign V700680 = V622430. assign V951663 = V519141 - 1. assign V490191 = V505771. assign V507543 = V531396 - 1. assign V209994 = V850672 - 1. assign V028497 = V515607 + 1. assign V981460 = V938630 + 1. assign V480829 = V942379. assign V667796 = V423085. assign V821701 = V471687 - 1. assign V295835 = V355535 - 1. assign V366854 = V427677.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V459913 = V550637. assign V592813 = V285188 + 1. assign V778257 = V720504 - 1. assign V699011 = V001216. assign V923995 = V424911. assign V518215 = V786607 - 1. assign V402262 = V302438 - 1. assign V053257 = V427677. assign V425251 = V798668 + 1. assign V043643 = V425251 - 1. assign V050899 = V842868 + 1. assign V953081 = V703588. assign V853313 = V683989. assign V736674 = V412230. assign V871797 = V233622. assign V648050 = V942379 - 1. assign V842229 = V173058 + 1. assign V827155 = V923995 + 1. assign V842868 = V720504. assign V302438 = V414582 - 1. assign V102320 = V487650 + 1. assign V853796 = V531396 - 1. assign V626812 = V622430 + 1. assign V798668 = V942379 + 1. assign V858142 = V942379 - 1. assign V995068 = V929483. assign V671785 = V424911. assign V922796 = V773930 - 1. assign V160651 = V648050 + 1. assign V858011 = V082525 - 1. assign V226275 = V173058 + 1. assign V764284 = V793722 + 1. assign V929483 = V111211 + 1. assign V785553 = V846536. assign V750412 = V514168 + 1. assign V784876 = V462040 - 1. assign V627845 = V624146 - 1. assign V416806 = V538349 + 1. assign V670085 = V471687 + 1. assign V940333 = V867419 + 1. assign V519141 = V377084 + 1. assign V355535 = V082525 - 1. assign V052529 = V871932 + 1. assign V783466 = V793722 - 1. assign V275410 = V209994 + 1. assign V485282 = V940333. assign V918103 = V404644 + 1. assign V049112 = V798668. assign V111211 = V703588 - 1. assign V400054 = V050899. assign V755510 = V355535 - 1. assign V606721 = V330871 - 1. assign V458841 = V485282. assign V284157 = V052529 + 1. assign V093474 = V487650 + 1. assign V859141 = V414582 - 1. assign V414582 = V856220. assign V885895 = V778257 - 1. assign V622430 = V518079 + 1. assign V330871 = V850672 + 1. assign V686289 = V953081 + 1. assign V987132 = V736674 + 1. assign V958493 = V786607 - 1. assign V732070 = V330871 + 1. assign V295252 = V842868 - 1. assign V991612 = V498987 + 1. assign V063016 = V786607. assign V050409 = V549008 + 1. assign V982095 = V330871. assign V636929 = V991612. assign V084460 = V858011 - 1. assign V598294 = V755510 - 1. assign V427677 = V505850 - 1. assign V266672 = V377084. assign V322208 = V987132 - 1. assign V420332 = V867419. assign V082525 = V720504. assign V740729 = V720504 + 1. assign V272321 = V404644 + 1. assign V174216 = V755510 + 1. assign V801259 = V846536. assign V471687 = V622430. assign V507023 = V846536. assign V850672 = V082525 + 1. assign V514168 = V302438. assign V867419 = V498987 - 1. assign V404644 = V189413. assign V984648 = V622430. assign V790776 = V330871. assign V683989 = V740729 + 1. assign V942379 = V947480. assign V318709 = V519141 + 1. assign V515607 = V480829 - 1. assign V197014 = V801259. assign V044841 = V404644. assign V256096 = V479833 - 1. assign V574750 = V942379 - 1. assign V590320 = V507543. assign V462040 = V507023 - 1. assign V743003 = V871932. assign V871932 = V798668 - 1. assign V549419 = V947480 - 1. assign V412230 = V683989 - 1. assign V865319 = V783466. assign V549008 = V507023 + 1. assign V095777 = V427677. assign V498987 = V846536. assign V783701 = V793722. assign V121111 = V929483 - 1. assign V290581 = V720504. assign V382316 = V524800 - 1. assign V350261 = V940333 - 1. assign V085828 = V006966 - 1. assign V786607 = V507023 + 1. assign V922190 = V648050. assign V006966 = V858011 + 1. assign V116182 = V720504 - 1. assign V703588 = V720504 - 1. assign V947480 = V940333 - 1. assign V189413 = V518079 - 1. assign V524800 = V885895 - 1. assign V505850 = V783701 + 1. assign V009883 = 4. assign V550637 = V923995. assign V846536 = V740729. assign V392907 = V871932 - 1. assign V703773 = V404644. assign V739741 = V050409 - 1. assign V518079 = V683989. assign V377084 = V785553 - 1. assign V368457 = V549419 - 1. assign V793722 = V850672. assign V285188 = V846536 + 1. assign V216306 = V703588 - 1. assign V487650 = V424911 + 1. assign V424911 = V740729 - 1. assign V688465 = V784876 + 1. assign V505771 = V256096. assign V001216 = V480829. assign V173058 = V929483. assign V079523 = V189413. assign V473218 = V850672. assign V840368 = V515607 + 1. assign V773930 = V275410 + 1. assign V126483 = V173058 - 1. assign V856220 = V671785 + 1. assign V879157 = V783466 - 1. assign V233622 = V160651 - 1. assign V710100 = V524800. assign V177029 = V636929 + 1. assign V540643 = V009883. assign V538349 = V487650 + 1. assign V668222 = V404644 + 1. assign V799561 = V519141 + 1. assign V423085 = V355535 - 1. assign V521665 = V783701. assign V624146 = V590320. assign V938630 = V424911. assign V531396 = V427677. assign V479833 = V498987 - 1. assign V700680 = V622430. assign V951663 = V519141 - 1. assign V490191 = V505771. assign V507543 = V531396 - 1. assign V209994 = V850672 - 1. assign V028497 = V515607 + 1. assign V981460 = V938630 + 1. assign V480829 = V942379. assign V667796 = V423085. assign V821701 = V471687 - 1. assign V295835 = V355535 - 1. assign V366854 = V427677.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV009883 = 4;\n\nFrom these direct assignment(s), we have: \nV540643 = V009883 = 4;\nNo other variables can be derived from V540643;\nNo other variables can be derived from V009883;\n\nNow we have done all the calculations. Derived variables are:\nV009883 = 4;\nV540643 = 4;\n\nNow we have finished this problem. ANSWER:\nV009883, V540643\n", "role": "assistant" } ]

[ "V418945" ]

[ { "content": "<context>\nassign V001407 = V934040 - 1. assign V447765 = V643627 - 1. assign V710212 = V184824 + 1. assign V348003 = V475479. assign V864915 = V098330 - 1. assign V654639 = V330603 + 1. assign V544136 = V237008. assign V228752 = V169027 + 1. assign V751912 = V072367 - 1. assign V610130 = V256051. assign V096326 = V388888 - 1. assign V792003 = V135095. assign V060441 = V546116 - 1. assign V009183 = V917521 - 1. assign V818739 = V883088 + 1. assign V356247 = V934040. assign V451719 = V419488. assign V751498 = V689609 + 1. assign V220481 = V883088. assign V269449 = V856194 - 1. assign V351952 = V238908 + 1. assign V848682 = V726702 - 1. assign V885848 = V161666 + 1. assign V688834 = V009183 - 1. assign V453351 = V864955. assign V072367 = V689609 - 1. assign V661468 = V029761 + 1. assign V187416 = V330603 + 1. assign V877907 = V080698. assign V983063 = V987412 + 1. assign V224259 = V877907 + 1. assign V604509 = V050447 + 1. assign V381125 = V989075 + 1. assign V334227 = V124232. assign V169027 = V050447 + 1. assign V702055 = V604509 - 1. assign V447203 = V180615 + 1. assign V979625 = V238908. assign V676016 = V237008 - 1. assign V238908 = V080698 - 1. assign V986266 = V256051 + 1. assign V478587 = V826420 + 1. assign V584412 = V228752 + 1. assign V124232 = V877907 + 1. assign V271905 = V856194 - 1. assign V189176 = V381125 - 1. assign V460994 = V080698 - 1. assign V088008 = V777102 + 1. assign V266567 = V228752. assign V704838 = V908696 + 1. assign V397947 = V818739 - 1. assign V864955 = V963677 - 1. assign V161666 = V180615 - 1. assign V512376 = V238908 + 1. assign V989062 = V184824 - 1. assign V832936 = V043795 - 1. assign V098988 = V565668 - 1. assign V956315 = V243702 + 1. assign V190026 = V180615. assign V923844 = V362810 - 1. assign V573125 = V330603 + 1. assign V061634 = V080698 + 1. assign V132367 = V235913 - 1. assign V643627 = V528076 - 1. assign V908696 = V546683 - 1. assign V184824 = V777102 + 1. assign V508751 = V221884 - 1. assign V470170 = V053897. assign V403308 = V351952 + 1. assign V302703 = V710212 + 1. assign V179242 = V989062 - 1. assign V135095 = V856194. assign V466241 = V856194. assign V540107 = V478587 - 1. assign V330603 = V877907 - 1. assign V816515 = V080698 - 1. assign V057247 = V388888 - 1. assign V383195 = V751498 - 1. assign V186566 = V946489 - 1. assign V273389 = V356247 - 1. assign V329380 = V885848 - 1. assign V810494 = V124232 - 1. assign V957416 = V061634 - 1. assign V027552 = V288373 - 1. assign V288373 = V987412. assign V179885 = V989062 - 1. assign V317895 = V689609. assign V302802 = V351952 - 1. assign V098330 = V689609 + 1. assign V503446 = V187416. assign V388888 = V946489. assign V237008 = V546116 - 1. assign V856194 = V816515. assign V934040 = V546116 - 1. assign V362810 = V180615. assign V682079 = V848682 + 1. assign V200552 = V689609 + 1. assign V294305 = V887333. assign V052578 = V043795. assign V665507 = V348003. assign V256051 = V161666 + 1. assign V426305 = V027730 - 1. assign V984671 = V832936. assign V185555 = V330603. assign V989075 = V702055 + 1. assign V951884 = V200552. assign V777102 = V726702 + 1. assign V726702 = V050447 - 1. assign V475479 = V816515. assign V713131 = V887333 + 1. assign V419488 = V179885. assign V628913 = V060441 - 1. assign V180615 = V029761 - 1. assign V235913 = V877907 + 1. assign V055072 = V923844. assign V221884 = V135095. assign V423050 = V256051. assign V918129 = V604509. assign V483216 = V989075. assign V883088 = V544136 + 1. assign V564240 = V661468 + 1. assign V315600 = V418945 + 1. assign V987412 = V689609 - 1. assign V540175 = V689609 - 1. assign V202893 = V317895 + 1. assign V826420 = V883088. assign V946489 = V689609 + 1. assign V485906 = V604509. assign V162980 = V713439. assign V713439 = V098330 + 1. assign V863651 = V546116 - 1. assign V689609 = V080698 - 1. assign V917521 = V186566 + 1. assign V107040 = V713439 - 1. assign V154026 = V951884 - 1. assign V528076 = V161666 + 1. assign V071516 = V388888 - 1. assign V268997 = V029761 + 1. assign V079268 = V546683 - 1. assign V027730 = V388888. assign V895457 = V185555 + 1. assign V323079 = V544136 + 1. assign V546683 = V098330 - 1. assign V091777 = V877907 - 1. assign V102020 = V071516 + 1. assign V053897 = V080698. assign V397286 = V169027 + 1. assign V644867 = V856194 - 1. assign V184756 = V071516 - 1. assign V243702 = V546116. assign V958066 = V485906 + 1. assign V565668 = V863651 - 1. assign V554566 = V777102 + 1. assign V504429 = V061634 - 1. assign V169705 = V098330. assign V231720 = V169705. assign V040972 = V288373 + 1. assign V805218 = V043795 - 1. assign V958257 = V826420 + 1. assign V043795 = V388888. assign V029761 = V238908 + 1. assign V050447 = V186566. assign V332762 = V098330. assign V418945 = 9. assign V065879 = V061634. assign V992471 = V546683 + 1. assign V887333 = V546116 - 1. assign V332259 = V877907 + 1. assign V963677 = V726702. assign V855760 = V832936. assign V546116 = V816515 - 1. assign V876162 = V388888 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V001407 = V934040 - 1. assign V447765 = V643627 - 1. assign V710212 = V184824 + 1. assign V348003 = V475479. assign V864915 = V098330 - 1. assign V654639 = V330603 + 1. assign V544136 = V237008. assign V228752 = V169027 + 1. assign V751912 = V072367 - 1. assign V610130 = V256051. assign V096326 = V388888 - 1. assign V792003 = V135095. assign V060441 = V546116 - 1. assign V009183 = V917521 - 1. assign V818739 = V883088 + 1. assign V356247 = V934040. assign V451719 = V419488. assign V751498 = V689609 + 1. assign V220481 = V883088. assign V269449 = V856194 - 1. assign V351952 = V238908 + 1. assign V848682 = V726702 - 1. assign V885848 = V161666 + 1. assign V688834 = V009183 - 1. assign V453351 = V864955. assign V072367 = V689609 - 1. assign V661468 = V029761 + 1. assign V187416 = V330603 + 1. assign V877907 = V080698. assign V983063 = V987412 + 1. assign V224259 = V877907 + 1. assign V604509 = V050447 + 1. assign V381125 = V989075 + 1. assign V334227 = V124232. assign V169027 = V050447 + 1. assign V702055 = V604509 - 1. assign V447203 = V180615 + 1. assign V979625 = V238908. assign V676016 = V237008 - 1. assign V238908 = V080698 - 1. assign V986266 = V256051 + 1. assign V478587 = V826420 + 1. assign V584412 = V228752 + 1. assign V124232 = V877907 + 1. assign V271905 = V856194 - 1. assign V189176 = V381125 - 1. assign V460994 = V080698 - 1. assign V088008 = V777102 + 1. assign V266567 = V228752. assign V704838 = V908696 + 1. assign V397947 = V818739 - 1. assign V864955 = V963677 - 1. assign V161666 = V180615 - 1. assign V512376 = V238908 + 1. assign V989062 = V184824 - 1. assign V832936 = V043795 - 1. assign V098988 = V565668 - 1. assign V956315 = V243702 + 1. assign V190026 = V180615. assign V923844 = V362810 - 1. assign V573125 = V330603 + 1. assign V061634 = V080698 + 1. assign V132367 = V235913 - 1. assign V643627 = V528076 - 1. assign V908696 = V546683 - 1. assign V184824 = V777102 + 1. assign V508751 = V221884 - 1. assign V470170 = V053897. assign V403308 = V351952 + 1. assign V302703 = V710212 + 1. assign V179242 = V989062 - 1. assign V135095 = V856194. assign V466241 = V856194. assign V540107 = V478587 - 1. assign V330603 = V877907 - 1. assign V816515 = V080698 - 1. assign V057247 = V388888 - 1. assign V383195 = V751498 - 1. assign V186566 = V946489 - 1. assign V273389 = V356247 - 1. assign V329380 = V885848 - 1. assign V810494 = V124232 - 1. assign V957416 = V061634 - 1. assign V027552 = V288373 - 1. assign V288373 = V987412. assign V179885 = V989062 - 1. assign V317895 = V689609. assign V302802 = V351952 - 1. assign V098330 = V689609 + 1. assign V503446 = V187416. assign V388888 = V946489. assign V237008 = V546116 - 1. assign V856194 = V816515. assign V934040 = V546116 - 1. assign V362810 = V180615. assign V682079 = V848682 + 1. assign V200552 = V689609 + 1. assign V294305 = V887333. assign V052578 = V043795. assign V665507 = V348003. assign V256051 = V161666 + 1. assign V426305 = V027730 - 1. assign V984671 = V832936. assign V185555 = V330603. assign V989075 = V702055 + 1. assign V951884 = V200552. assign V777102 = V726702 + 1. assign V726702 = V050447 - 1. assign V475479 = V816515. assign V713131 = V887333 + 1. assign V419488 = V179885. assign V628913 = V060441 - 1. assign V180615 = V029761 - 1. assign V235913 = V877907 + 1. assign V055072 = V923844. assign V221884 = V135095. assign V423050 = V256051. assign V918129 = V604509. assign V483216 = V989075. assign V883088 = V544136 + 1. assign V564240 = V661468 + 1. assign V315600 = V418945 + 1. assign V987412 = V689609 - 1. assign V540175 = V689609 - 1. assign V202893 = V317895 + 1. assign V826420 = V883088. assign V946489 = V689609 + 1. assign V485906 = V604509. assign V162980 = V713439. assign V713439 = V098330 + 1. assign V863651 = V546116 - 1. assign V689609 = V080698 - 1. assign V917521 = V186566 + 1. assign V107040 = V713439 - 1. assign V154026 = V951884 - 1. assign V528076 = V161666 + 1. assign V071516 = V388888 - 1. assign V268997 = V029761 + 1. assign V079268 = V546683 - 1. assign V027730 = V388888. assign V895457 = V185555 + 1. assign V323079 = V544136 + 1. assign V546683 = V098330 - 1. assign V091777 = V877907 - 1. assign V102020 = V071516 + 1. assign V053897 = V080698. assign V397286 = V169027 + 1. assign V644867 = V856194 - 1. assign V184756 = V071516 - 1. assign V243702 = V546116. assign V958066 = V485906 + 1. assign V565668 = V863651 - 1. assign V554566 = V777102 + 1. assign V504429 = V061634 - 1. assign V169705 = V098330. assign V231720 = V169705. assign V040972 = V288373 + 1. assign V805218 = V043795 - 1. assign V958257 = V826420 + 1. assign V043795 = V388888. assign V029761 = V238908 + 1. assign V050447 = V186566. assign V332762 = V098330. assign V418945 = 9. assign V065879 = V061634. assign V992471 = V546683 + 1. assign V887333 = V546116 - 1. assign V332259 = V877907 + 1. assign V963677 = V726702. assign V855760 = V832936. assign V546116 = V816515 - 1. assign V876162 = V388888 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV418945 = 9;\n\nFrom these direct assignment(s), we have: \nV315600 = V418945 + 1 = 9 + 1 =10;\nNo other variables can be derived from V315600;\nNo other variables can be derived from V418945;\n\nNow we have done all the calculations. Derived variables are:\nV418945 = 9;\nV315600 = 10;\n\nNow we have finished this problem. ANSWER:\nV418945\n", "role": "assistant" } ]

[ "V511181", "V193064" ]

[ { "content": "<context>\nassign V322920 = V575536 - 1. assign V213515 = V362206 - 1. assign V225365 = V099522 + 1. assign V575536 = V032908 + 1. assign V536274 = V484467 - 1. assign V057254 = V884165 + 1. assign V032908 = V884165. assign V972664 = V882826. assign V631775 = V687520. assign V748995 = V550090 + 1. assign V103693 = V642911. assign V333270 = V534137. assign V999451 = V294947 - 1. assign V534137 = V187564 - 1. assign V540196 = V322410. assign V316178 = V099522 - 1. assign V197344 = V103693 + 1. assign V934509 = V669387. assign V284651 = V824660 + 1. assign V277326 = V103693. assign V890126 = V187564. assign V447736 = V564377 + 1. assign V762491 = V004672 - 1. assign V846437 = V337005 + 1. assign V671135 = V316178 - 1. assign V279251 = V004672. assign V677816 = V697847 - 1. assign V360096 = V197935 + 1. assign V676983 = V099522 - 1. assign V326156 = V631775. assign V719004 = V471213 - 1. assign V567608 = V608353 + 1. assign V514127 = V713642. assign V204713 = V294947. assign V105352 = V004672 + 1. assign V222263 = V890126. assign V599918 = V004672 + 1. assign V416811 = V534137 - 1. assign V695127 = V099522 + 1. assign V954456 = V099522 - 1. assign V337005 = V032908 + 1. assign V684785 = V159119. assign V669928 = V210861 + 1. assign V384827 = V748995. assign V229097 = V294947 + 1. assign V027095 = V584210. assign V200616 = V032908 - 1. assign V637600 = V890126 + 1. assign V185782 = V934509 + 1. assign V812390 = V676983 - 1. assign V197483 = V187564 + 1. assign V967537 = V952919. assign V004672 = V642911. assign V855895 = V146066 + 1. assign V935640 = V534137. assign V642911 = V687520 + 1. assign V471213 = V550090 - 1. assign V364972 = V550090 - 1. assign V143052 = V371087. assign V008652 = V471213. assign V564377 = V671135 - 1. assign V131007 = V695127 + 1. assign V322410 = V463052. assign V603544 = V299113. assign V697847 = V294947 + 1. assign V219386 = V139532 + 1. assign V971933 = V333270. assign V146066 = V140718 + 1. assign V312874 = V730034 + 1. assign V135056 = V730034 - 1. assign V624884 = V105352 + 1. assign V584210 = V139532 + 1. assign V277261 = V229097 - 1. assign V525948 = V564377. assign V550090 = V884165. assign V491659 = V633062 - 1. assign V149502 = V178678 + 1. assign V533715 = V687520 - 1. assign V357433 = V204713 + 1. assign V223997 = V852020 + 1. assign V492016 = V362206 - 1. assign V882826 = V326156. assign V159119 = V525948 - 1. assign V146223 = V608353 - 1. assign V633062 = V279251 - 1. assign V040291 = V463052 + 1. assign V772565 = V564377. assign V380722 = V423423 - 1. assign V121516 = V567608. assign V142551 = V463052 - 1. assign V624469 = V394472 - 1. assign V822431 = V327982 + 1. assign V853826 = V631775 - 1. assign V193064 = V511181. assign V844545 = V116023 - 1. assign V960237 = V920383 - 1. assign V209364 = V619887 + 1. assign V099713 = V197483 - 1. assign V884165 = V316178 + 1. assign V615973 = V116023. assign V294947 = V662870 - 1. assign V872000 = V364972 - 1. assign V150571 = V210861. assign V497704 = V631775 + 1. assign V035467 = V797204. assign V362206 = V844545 - 1. assign V730034 = V225365 - 1. assign V299113 = V294947 - 1. assign V140718 = V851416 - 1. assign V484467 = V160429 + 1. assign V518060 = V294947. assign V197935 = V603544 - 1. assign V262884 = V279251. assign V768828 = V327982. assign V171033 = V103693 - 1. assign V296028 = V954456. assign V515670 = V844545. assign V737432 = V333270. assign V494761 = V960237. assign V048485 = V197483 - 1. assign V502846 = V032908 + 1. assign V952919 = V954456. assign V662870 = V853826. assign V140265 = V687520. assign V955987 = V671135 + 1. assign V187564 = V687520. assign V139532 = V852020 + 1. assign V026779 = V135056 - 1. assign V619887 = V463052 - 1. assign V771573 = V471213 - 1. assign V514294 = V955987. assign V841256 = V187980 - 1. assign V696774 = V497704. assign V327982 = V687520 + 1. assign V910403 = V004672 - 1. assign V463052 = V103693 + 1. assign V672004 = V225365. assign V394472 = V116023 + 1. assign V669387 = V187564. assign V763831 = V920383 - 1. assign V099522 = V687520. assign V137219 = V099522. assign V511181 = 9. assign V851416 = V143052 + 1. assign V178678 = V004672 - 1. assign V852020 = V671135. assign V608353 = V534137 - 1. assign V371087 = V139532 - 1. assign V464254 = V884165 + 1. assign V116023 = V687520 + 1. assign V920383 = V187564. assign V601060 = V491659. assign V887062 = V700171. assign V824660 = V534137. assign V135724 = V735378. assign V432428 = V608353 - 1. assign V797204 = V603544 - 1. assign V127992 = V326156 - 1. assign V108044 = V615973 - 1. assign V700171 = V484467. assign V735378 = V671135 - 1. assign V210861 = V032908 - 1. assign V266604 = V713642 - 1. assign V713642 = V225365. assign V769730 = V772565 - 1. assign V233645 = V492016 - 1. assign V660231 = V116023 - 1. assign V075494 = V882826 + 1. assign V155138 = V322410. assign V423423 = V137219. assign V160429 = V326156 + 1. assign V187980 = V824660.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V322920 = V575536 - 1. assign V213515 = V362206 - 1. assign V225365 = V099522 + 1. assign V575536 = V032908 + 1. assign V536274 = V484467 - 1. assign V057254 = V884165 + 1. assign V032908 = V884165. assign V972664 = V882826. assign V631775 = V687520. assign V748995 = V550090 + 1. assign V103693 = V642911. assign V333270 = V534137. assign V999451 = V294947 - 1. assign V534137 = V187564 - 1. assign V540196 = V322410. assign V316178 = V099522 - 1. assign V197344 = V103693 + 1. assign V934509 = V669387. assign V284651 = V824660 + 1. assign V277326 = V103693. assign V890126 = V187564. assign V447736 = V564377 + 1. assign V762491 = V004672 - 1. assign V846437 = V337005 + 1. assign V671135 = V316178 - 1. assign V279251 = V004672. assign V677816 = V697847 - 1. assign V360096 = V197935 + 1. assign V676983 = V099522 - 1. assign V326156 = V631775. assign V719004 = V471213 - 1. assign V567608 = V608353 + 1. assign V514127 = V713642. assign V204713 = V294947. assign V105352 = V004672 + 1. assign V222263 = V890126. assign V599918 = V004672 + 1. assign V416811 = V534137 - 1. assign V695127 = V099522 + 1. assign V954456 = V099522 - 1. assign V337005 = V032908 + 1. assign V684785 = V159119. assign V669928 = V210861 + 1. assign V384827 = V748995. assign V229097 = V294947 + 1. assign V027095 = V584210. assign V200616 = V032908 - 1. assign V637600 = V890126 + 1. assign V185782 = V934509 + 1. assign V812390 = V676983 - 1. assign V197483 = V187564 + 1. assign V967537 = V952919. assign V004672 = V642911. assign V855895 = V146066 + 1. assign V935640 = V534137. assign V642911 = V687520 + 1. assign V471213 = V550090 - 1. assign V364972 = V550090 - 1. assign V143052 = V371087. assign V008652 = V471213. assign V564377 = V671135 - 1. assign V131007 = V695127 + 1. assign V322410 = V463052. assign V603544 = V299113. assign V697847 = V294947 + 1. assign V219386 = V139532 + 1. assign V971933 = V333270. assign V146066 = V140718 + 1. assign V312874 = V730034 + 1. assign V135056 = V730034 - 1. assign V624884 = V105352 + 1. assign V584210 = V139532 + 1. assign V277261 = V229097 - 1. assign V525948 = V564377. assign V550090 = V884165. assign V491659 = V633062 - 1. assign V149502 = V178678 + 1. assign V533715 = V687520 - 1. assign V357433 = V204713 + 1. assign V223997 = V852020 + 1. assign V492016 = V362206 - 1. assign V882826 = V326156. assign V159119 = V525948 - 1. assign V146223 = V608353 - 1. assign V633062 = V279251 - 1. assign V040291 = V463052 + 1. assign V772565 = V564377. assign V380722 = V423423 - 1. assign V121516 = V567608. assign V142551 = V463052 - 1. assign V624469 = V394472 - 1. assign V822431 = V327982 + 1. assign V853826 = V631775 - 1. assign V193064 = V511181. assign V844545 = V116023 - 1. assign V960237 = V920383 - 1. assign V209364 = V619887 + 1. assign V099713 = V197483 - 1. assign V884165 = V316178 + 1. assign V615973 = V116023. assign V294947 = V662870 - 1. assign V872000 = V364972 - 1. assign V150571 = V210861. assign V497704 = V631775 + 1. assign V035467 = V797204. assign V362206 = V844545 - 1. assign V730034 = V225365 - 1. assign V299113 = V294947 - 1. assign V140718 = V851416 - 1. assign V484467 = V160429 + 1. assign V518060 = V294947. assign V197935 = V603544 - 1. assign V262884 = V279251. assign V768828 = V327982. assign V171033 = V103693 - 1. assign V296028 = V954456. assign V515670 = V844545. assign V737432 = V333270. assign V494761 = V960237. assign V048485 = V197483 - 1. assign V502846 = V032908 + 1. assign V952919 = V954456. assign V662870 = V853826. assign V140265 = V687520. assign V955987 = V671135 + 1. assign V187564 = V687520. assign V139532 = V852020 + 1. assign V026779 = V135056 - 1. assign V619887 = V463052 - 1. assign V771573 = V471213 - 1. assign V514294 = V955987. assign V841256 = V187980 - 1. assign V696774 = V497704. assign V327982 = V687520 + 1. assign V910403 = V004672 - 1. assign V463052 = V103693 + 1. assign V672004 = V225365. assign V394472 = V116023 + 1. assign V669387 = V187564. assign V763831 = V920383 - 1. assign V099522 = V687520. assign V137219 = V099522. assign V511181 = 9. assign V851416 = V143052 + 1. assign V178678 = V004672 - 1. assign V852020 = V671135. assign V608353 = V534137 - 1. assign V371087 = V139532 - 1. assign V464254 = V884165 + 1. assign V116023 = V687520 + 1. assign V920383 = V187564. assign V601060 = V491659. assign V887062 = V700171. assign V824660 = V534137. assign V135724 = V735378. assign V432428 = V608353 - 1. assign V797204 = V603544 - 1. assign V127992 = V326156 - 1. assign V108044 = V615973 - 1. assign V700171 = V484467. assign V735378 = V671135 - 1. assign V210861 = V032908 - 1. assign V266604 = V713642 - 1. assign V713642 = V225365. assign V769730 = V772565 - 1. assign V233645 = V492016 - 1. assign V660231 = V116023 - 1. assign V075494 = V882826 + 1. assign V155138 = V322410. assign V423423 = V137219. assign V160429 = V326156 + 1. assign V187980 = V824660.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV511181 = 9;\n\nFrom these direct assignment(s), we have: \nV193064 = V511181 = 9;\nNo other variables can be derived from V193064;\nNo other variables can be derived from V511181;\n\nNow we have done all the calculations. Derived variables are:\nV511181 = 9;\nV193064 = 9;\n\nNow we have finished this problem. ANSWER:\nV511181, V193064\n", "role": "assistant" } ]

[ "V832431", "V387437" ]

[ { "content": "<context>\nassign V003409 = V930871 + 1. assign V428275 = V823747. assign V611132 = V825488 - 1. assign V102313 = V313505 - 1. assign V987167 = V410958 - 1. assign V932530 = V507711 - 1. assign V866315 = V802245. assign V823747 = V318408 + 1. assign V300157 = V725878. assign V855577 = V930811 + 1. assign V026025 = V094858 - 1. assign V756995 = V085106 - 1. assign V455479 = V259687 + 1. assign V549210 = V207602. assign V032765 = V825488 + 1. assign V049957 = V866315 + 1. assign V761285 = V250504 - 1. assign V020611 = V216619 + 1. assign V783318 = V225900 + 1. assign V054657 = V550611 - 1. assign V825488 = V318408 - 1. assign V317504 = V434498 + 1. assign V526050 = V428275 + 1. assign V106156 = V825488 + 1. assign V941944 = V773422 - 1. assign V286841 = V748981 + 1. assign V777334 = V300157 + 1. assign V455293 = V454449. assign V802245 = V318408 - 1. assign V902639 = V225900 + 1. assign V429411 = V974025 - 1. assign V973044 = V773422 + 1. assign V168322 = V501161 - 1. assign V701558 = V930811 + 1. assign V986880 = V032765 - 1. assign V959582 = V628551. assign V027683 = V003409 + 1. assign V012444 = V959582 - 1. assign V624690 = V959582 + 1. assign V742396 = V615347. assign V175253 = V628217. assign V501161 = V855577. assign V800889 = V588671. assign V028437 = V409112 - 1. assign V259687 = V172208 - 1. assign V454449 = V866315 - 1. assign V637738 = V501161 - 1. assign V507711 = V054938 + 1. assign V814763 = V404008. assign V594196 = V761285. assign V130374 = V881948. assign V250504 = V092584. assign V531304 = V550611. assign V654927 = V773422 - 1. assign V434498 = V866315. assign V414588 = V930811 - 1. assign V916160 = V054657 + 1. assign V239967 = V526050 - 1. assign V614606 = V020611. assign V051086 = V866315. assign V327515 = V107233 + 1. assign V590034 = V558382 + 1. assign V696530 = V742396 - 1. assign V342927 = V930811 + 1. assign V059034 = V051086. assign V608302 = V150661. assign V668833 = V814763 - 1. assign V280367 = V300157 + 1. assign V024395 = V225900 - 1. assign V477973 = V130374. assign V481036 = V318408 - 1. assign V615347 = V779033 - 1. assign V832431 = 3. assign V404008 = V984038 + 1. assign V616946 = V239967. assign V242055 = V027683 + 1. assign V409112 = V049957 + 1. assign V085106 = V202708 + 1. assign V293283 = V242055 - 1. assign V313505 = V449463 - 1. assign V114473 = V855577. assign V363621 = V959582. assign V387437 = V832431. assign V317656 = V318408 - 1. assign V859984 = V059034 + 1. assign V318408 = V930871 - 1. assign V401766 = V327095 - 1. assign V202708 = V051086 - 1. assign V270503 = V027683 - 1. assign V094858 = V986880 - 1. assign V107233 = V449463. assign V550611 = V984038 + 1. assign V485346 = V191625. assign V216619 = V986880 + 1. assign V327095 = V434498 + 1. assign V984038 = V802245. assign V845115 = V654927. assign V075668 = V068143. assign V191625 = V930811 + 1. assign V559461 = V225900. assign V951993 = V550611. assign V155873 = V112754 + 1. assign V773422 = V318408 + 1. assign V856721 = V859984. assign V748981 = V559461 - 1. assign V628551 = V825488 + 1. assign V710702 = V026025. assign V199512 = V615347. assign V449463 = V317656 + 1. assign V114367 = V654927. assign V207602 = V531304 - 1. assign V664865 = V802245 - 1. assign V324654 = V317504. assign V628217 = V020611 - 1. assign V376592 = V032765 - 1. assign V342468 = V049957. assign V003829 = V225900 - 1. assign V272472 = V559351. assign V410958 = V207602 + 1. assign V012363 = V410958. assign V974025 = V216619 + 1. assign V499684 = V401766. assign V225900 = V825488. assign V121713 = V828095 - 1. assign V280749 = V559351 + 1. assign V984959 = V783318. assign V214966 = V003829. assign V211093 = V428275 - 1. assign V375303 = V028437 - 1. assign V828095 = V225900. assign V504880 = V414588 + 1. assign V620189 = V259687 + 1. assign V172208 = V881948 + 1. assign V559351 = V020611. assign V167559 = V809140. assign V237630 = V225900. assign V068143 = V550611 - 1. assign V156009 = V211093 - 1. assign V454082 = V250504 - 1. assign V092584 = V984038 - 1. assign V150661 = V376592 - 1. assign V215271 = V270503. assign V558382 = V654927. assign V852949 = V959582 - 1. assign V591458 = V376592 + 1. assign V903596 = V106156 + 1. assign V272062 = V742396 + 1. assign V986648 = V027683. assign V208850 = V318408 - 1. assign V881948 = V191625 + 1. assign V725878 = V191625 - 1. assign V165356 = V172208 + 1. assign V345353 = V242055 + 1. assign V811569 = V404008 - 1. assign V056280 = V027683 - 1. assign V779033 = V030510. assign V270772 = V624690 - 1. assign V112754 = V172208. assign V959596 = V317504. assign V030510 = V654927 + 1. assign V217678 = V202708 + 1. assign V445398 = V107233 + 1. assign V497821 = V114367. assign V588671 = V003829. assign V809140 = V434498 + 1. assign V590014 = V941944 - 1. assign V474232 = V779033. assign V054938 = V828095 - 1. assign V313070 = V591458. assign V146207 = V300157. assign V589509 = V324654 + 1. assign V930811 = V027683 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V003409 = V930871 + 1. assign V428275 = V823747. assign V611132 = V825488 - 1. assign V102313 = V313505 - 1. assign V987167 = V410958 - 1. assign V932530 = V507711 - 1. assign V866315 = V802245. assign V823747 = V318408 + 1. assign V300157 = V725878. assign V855577 = V930811 + 1. assign V026025 = V094858 - 1. assign V756995 = V085106 - 1. assign V455479 = V259687 + 1. assign V549210 = V207602. assign V032765 = V825488 + 1. assign V049957 = V866315 + 1. assign V761285 = V250504 - 1. assign V020611 = V216619 + 1. assign V783318 = V225900 + 1. assign V054657 = V550611 - 1. assign V825488 = V318408 - 1. assign V317504 = V434498 + 1. assign V526050 = V428275 + 1. assign V106156 = V825488 + 1. assign V941944 = V773422 - 1. assign V286841 = V748981 + 1. assign V777334 = V300157 + 1. assign V455293 = V454449. assign V802245 = V318408 - 1. assign V902639 = V225900 + 1. assign V429411 = V974025 - 1. assign V973044 = V773422 + 1. assign V168322 = V501161 - 1. assign V701558 = V930811 + 1. assign V986880 = V032765 - 1. assign V959582 = V628551. assign V027683 = V003409 + 1. assign V012444 = V959582 - 1. assign V624690 = V959582 + 1. assign V742396 = V615347. assign V175253 = V628217. assign V501161 = V855577. assign V800889 = V588671. assign V028437 = V409112 - 1. assign V259687 = V172208 - 1. assign V454449 = V866315 - 1. assign V637738 = V501161 - 1. assign V507711 = V054938 + 1. assign V814763 = V404008. assign V594196 = V761285. assign V130374 = V881948. assign V250504 = V092584. assign V531304 = V550611. assign V654927 = V773422 - 1. assign V434498 = V866315. assign V414588 = V930811 - 1. assign V916160 = V054657 + 1. assign V239967 = V526050 - 1. assign V614606 = V020611. assign V051086 = V866315. assign V327515 = V107233 + 1. assign V590034 = V558382 + 1. assign V696530 = V742396 - 1. assign V342927 = V930811 + 1. assign V059034 = V051086. assign V608302 = V150661. assign V668833 = V814763 - 1. assign V280367 = V300157 + 1. assign V024395 = V225900 - 1. assign V477973 = V130374. assign V481036 = V318408 - 1. assign V615347 = V779033 - 1. assign V832431 = 3. assign V404008 = V984038 + 1. assign V616946 = V239967. assign V242055 = V027683 + 1. assign V409112 = V049957 + 1. assign V085106 = V202708 + 1. assign V293283 = V242055 - 1. assign V313505 = V449463 - 1. assign V114473 = V855577. assign V363621 = V959582. assign V387437 = V832431. assign V317656 = V318408 - 1. assign V859984 = V059034 + 1. assign V318408 = V930871 - 1. assign V401766 = V327095 - 1. assign V202708 = V051086 - 1. assign V270503 = V027683 - 1. assign V094858 = V986880 - 1. assign V107233 = V449463. assign V550611 = V984038 + 1. assign V485346 = V191625. assign V216619 = V986880 + 1. assign V327095 = V434498 + 1. assign V984038 = V802245. assign V845115 = V654927. assign V075668 = V068143. assign V191625 = V930811 + 1. assign V559461 = V225900. assign V951993 = V550611. assign V155873 = V112754 + 1. assign V773422 = V318408 + 1. assign V856721 = V859984. assign V748981 = V559461 - 1. assign V628551 = V825488 + 1. assign V710702 = V026025. assign V199512 = V615347. assign V449463 = V317656 + 1. assign V114367 = V654927. assign V207602 = V531304 - 1. assign V664865 = V802245 - 1. assign V324654 = V317504. assign V628217 = V020611 - 1. assign V376592 = V032765 - 1. assign V342468 = V049957. assign V003829 = V225900 - 1. assign V272472 = V559351. assign V410958 = V207602 + 1. assign V012363 = V410958. assign V974025 = V216619 + 1. assign V499684 = V401766. assign V225900 = V825488. assign V121713 = V828095 - 1. assign V280749 = V559351 + 1. assign V984959 = V783318. assign V214966 = V003829. assign V211093 = V428275 - 1. assign V375303 = V028437 - 1. assign V828095 = V225900. assign V504880 = V414588 + 1. assign V620189 = V259687 + 1. assign V172208 = V881948 + 1. assign V559351 = V020611. assign V167559 = V809140. assign V237630 = V225900. assign V068143 = V550611 - 1. assign V156009 = V211093 - 1. assign V454082 = V250504 - 1. assign V092584 = V984038 - 1. assign V150661 = V376592 - 1. assign V215271 = V270503. assign V558382 = V654927. assign V852949 = V959582 - 1. assign V591458 = V376592 + 1. assign V903596 = V106156 + 1. assign V272062 = V742396 + 1. assign V986648 = V027683. assign V208850 = V318408 - 1. assign V881948 = V191625 + 1. assign V725878 = V191625 - 1. assign V165356 = V172208 + 1. assign V345353 = V242055 + 1. assign V811569 = V404008 - 1. assign V056280 = V027683 - 1. assign V779033 = V030510. assign V270772 = V624690 - 1. assign V112754 = V172208. assign V959596 = V317504. assign V030510 = V654927 + 1. assign V217678 = V202708 + 1. assign V445398 = V107233 + 1. assign V497821 = V114367. assign V588671 = V003829. assign V809140 = V434498 + 1. assign V590014 = V941944 - 1. assign V474232 = V779033. assign V054938 = V828095 - 1. assign V313070 = V591458. assign V146207 = V300157. assign V589509 = V324654 + 1. assign V930811 = V027683 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV832431 = 3;\n\nFrom these direct assignment(s), we have: \nV387437 = V832431 = 3;\nNo other variables can be derived from V387437;\nNo other variables can be derived from V832431;\n\nNow we have done all the calculations. Derived variables are:\nV832431 = 3;\nV387437 = 3;\n\nNow we have finished this problem. ANSWER:\nV832431, V387437\n", "role": "assistant" } ]

[ "V175897", "V779535" ]

[ { "content": "<context>\nassign V642920 = V313815 + 1. assign V451971 = V207632. assign V219310 = V480267 - 1. assign V916166 = V065645. assign V435330 = V198544 - 1. assign V695993 = V058962. assign V436673 = V315185 + 1. assign V619720 = V828353. assign V941940 = V068570 - 1. assign V834965 = V921249 - 1. assign V194700 = V432446 - 1. assign V697315 = V061313 - 1. assign V284188 = V330732. assign V432446 = V834965 + 1. assign V793325 = V664988 + 1. assign V526323 = V151686 - 1. assign V014020 = V566968. assign V117598 = V851900 - 1. assign V480267 = V728833. assign V176668 = V956284. assign V142897 = V573230 + 1. assign V956284 = V598915. assign V148750 = V194700 - 1. assign V264996 = V343136. assign V573230 = V011542 + 1. assign V664988 = V176668 + 1. assign V010957 = V834965 - 1. assign V343136 = V481594 + 1. assign V742133 = V011436 + 1. assign V895100 = V891413 - 1. assign V387955 = V560035. assign V417426 = V828353. assign V330732 = V669699. assign V164826 = V337826. assign V745687 = V194700 - 1. assign V829861 = V238148. assign V299506 = V337826 - 1. assign V151686 = V727579 + 1. assign V337826 = V961349 + 1. assign V117647 = V695993. assign V137536 = V727579 + 1. assign V110540 = V851900 + 1. assign V353770 = V151686 - 1. assign V982506 = V010957. assign V343862 = V137536 - 1. assign V613275 = V274095. assign V986555 = V741242 - 1. assign V675481 = V497652 + 1. assign V713661 = V010957. assign V591593 = V062215 - 1. assign V728833 = V200557. assign V891413 = V063678 - 1. assign V622886 = V636295. assign V013579 = V011542 + 1. assign V638334 = V451971. assign V011436 = V343136. assign V863538 = V972301 - 1. assign V372884 = V164826 + 1. assign V491529 = V664988. assign V428727 = V151686. assign V389539 = V424599 + 1. assign V566968 = V638334 + 1. assign V744584 = V781548. assign V851602 = V068570. assign V484885 = V054751 - 1. assign V727579 = V921249 + 1. assign V707151 = V713661. assign V207632 = V921249 - 1. assign V972301 = V481594 + 1. assign V119563 = V792745 - 1. assign V034317 = V598915 - 1. assign V378936 = V598915 - 1. assign V669699 = V598915 - 1. assign V560035 = V858126 + 1. assign V742833 = V941940 + 1. assign V512466 = V941940 - 1. assign V062215 = V664988 - 1. assign V645879 = V372884 + 1. assign V007538 = V010957 + 1. assign V399886 = V491529 + 1. assign V779535 = V175897. assign V120944 = V194700 - 1. assign V781548 = V891413 - 1. assign V082676 = V982506 - 1. assign V557258 = V024295. assign V946376 = V238148 + 1. assign V531279 = V120440 + 1. assign V851900 = V343136. assign V264821 = V856089 - 1. assign V043016 = V946376 - 1. assign V481594 = V432446. assign V314816 = V082676. assign V921249 = V063678 - 1. assign V852984 = V781548 - 1. assign V065645 = V892650. assign V338824 = V520376 - 1. assign V599633 = V645879 + 1. assign V024295 = V727579 - 1. assign V532577 = V707151. assign V144082 = V436673 + 1. assign V143736 = V744584. assign V852927 = V424599 + 1. assign V499951 = V858126 - 1. assign V106786 = V972301 - 1. assign V363747 = V301906 - 1. assign V240621 = V891413 + 1. assign V376538 = V010957 - 1. assign V961349 = V063678. assign V424599 = V636295 + 1. assign V497652 = V598915. assign V659518 = V746774. assign V213397 = V961349 + 1. assign V573778 = V895100 + 1. assign V207589 = V239493 + 1. assign V792745 = V568958. assign V307439 = V828353 + 1. assign V218476 = V343136 - 1. assign V867963 = V480267 + 1. assign V120440 = V369039 - 1. assign V011542 = V058962 - 1. assign V009123 = V143736 + 1. assign V054751 = V428727. assign V856089 = V343862 + 1. assign V015898 = V892650 - 1. assign V568958 = V728833 - 1. assign V741242 = V745687 + 1. assign V327906 = V858126 - 1. assign V924221 = V499951 + 1. assign V756001 = V011436. assign V301906 = V895100 - 1. assign V313815 = V207589. assign V175897 = 1. assign V058962 = V114248 + 1. assign V149591 = V480267 + 1. assign V061313 = V151686 - 1. assign V634698 = V369039 - 1. assign V369039 = V891413 + 1. assign V636295 = V063678 - 1. assign V785515 = V137536 - 1. assign V624040 = V745687 - 1. assign V858126 = V063678. assign V060180 = V858126. assign V492133 = V669699 - 1. assign V892650 = V058962 + 1. assign V068570 = V834965 + 1. assign V992539 = V010957. assign V256208 = V120440. assign V198544 = V982506 + 1. assign V274095 = V337826 - 1. assign V315185 = V327906 + 1. assign V730684 = V781548 + 1. assign V746774 = V961349 + 1. assign V238148 = V891413 - 1. assign V661043 = V497652. assign V929643 = V301906. assign V179638 = V481594 - 1. assign V887112 = V015898. assign V154446 = V895100. assign V411396 = V728833. assign V239493 = V834965. assign V114248 = V240621 + 1. assign V288858 = V491529. assign V301973 = V497652 - 1. assign V652619 = V207632 + 1. assign V213767 = V728833 + 1. assign V598915 = V921249 + 1. assign V520376 = V497652. assign V828353 = V481594 + 1. assign V200557 = V891413. assign V086070 = V432446 + 1. assign V623510 = V194700 + 1. assign V942722 = V828353 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V642920 = V313815 + 1. assign V451971 = V207632. assign V219310 = V480267 - 1. assign V916166 = V065645. assign V435330 = V198544 - 1. assign V695993 = V058962. assign V436673 = V315185 + 1. assign V619720 = V828353. assign V941940 = V068570 - 1. assign V834965 = V921249 - 1. assign V194700 = V432446 - 1. assign V697315 = V061313 - 1. assign V284188 = V330732. assign V432446 = V834965 + 1. assign V793325 = V664988 + 1. assign V526323 = V151686 - 1. assign V014020 = V566968. assign V117598 = V851900 - 1. assign V480267 = V728833. assign V176668 = V956284. assign V142897 = V573230 + 1. assign V956284 = V598915. assign V148750 = V194700 - 1. assign V264996 = V343136. assign V573230 = V011542 + 1. assign V664988 = V176668 + 1. assign V010957 = V834965 - 1. assign V343136 = V481594 + 1. assign V742133 = V011436 + 1. assign V895100 = V891413 - 1. assign V387955 = V560035. assign V417426 = V828353. assign V330732 = V669699. assign V164826 = V337826. assign V745687 = V194700 - 1. assign V829861 = V238148. assign V299506 = V337826 - 1. assign V151686 = V727579 + 1. assign V337826 = V961349 + 1. assign V117647 = V695993. assign V137536 = V727579 + 1. assign V110540 = V851900 + 1. assign V353770 = V151686 - 1. assign V982506 = V010957. assign V343862 = V137536 - 1. assign V613275 = V274095. assign V986555 = V741242 - 1. assign V675481 = V497652 + 1. assign V713661 = V010957. assign V591593 = V062215 - 1. assign V728833 = V200557. assign V891413 = V063678 - 1. assign V622886 = V636295. assign V013579 = V011542 + 1. assign V638334 = V451971. assign V011436 = V343136. assign V863538 = V972301 - 1. assign V372884 = V164826 + 1. assign V491529 = V664988. assign V428727 = V151686. assign V389539 = V424599 + 1. assign V566968 = V638334 + 1. assign V744584 = V781548. assign V851602 = V068570. assign V484885 = V054751 - 1. assign V727579 = V921249 + 1. assign V707151 = V713661. assign V207632 = V921249 - 1. assign V972301 = V481594 + 1. assign V119563 = V792745 - 1. assign V034317 = V598915 - 1. assign V378936 = V598915 - 1. assign V669699 = V598915 - 1. assign V560035 = V858126 + 1. assign V742833 = V941940 + 1. assign V512466 = V941940 - 1. assign V062215 = V664988 - 1. assign V645879 = V372884 + 1. assign V007538 = V010957 + 1. assign V399886 = V491529 + 1. assign V779535 = V175897. assign V120944 = V194700 - 1. assign V781548 = V891413 - 1. assign V082676 = V982506 - 1. assign V557258 = V024295. assign V946376 = V238148 + 1. assign V531279 = V120440 + 1. assign V851900 = V343136. assign V264821 = V856089 - 1. assign V043016 = V946376 - 1. assign V481594 = V432446. assign V314816 = V082676. assign V921249 = V063678 - 1. assign V852984 = V781548 - 1. assign V065645 = V892650. assign V338824 = V520376 - 1. assign V599633 = V645879 + 1. assign V024295 = V727579 - 1. assign V532577 = V707151. assign V144082 = V436673 + 1. assign V143736 = V744584. assign V852927 = V424599 + 1. assign V499951 = V858126 - 1. assign V106786 = V972301 - 1. assign V363747 = V301906 - 1. assign V240621 = V891413 + 1. assign V376538 = V010957 - 1. assign V961349 = V063678. assign V424599 = V636295 + 1. assign V497652 = V598915. assign V659518 = V746774. assign V213397 = V961349 + 1. assign V573778 = V895100 + 1. assign V207589 = V239493 + 1. assign V792745 = V568958. assign V307439 = V828353 + 1. assign V218476 = V343136 - 1. assign V867963 = V480267 + 1. assign V120440 = V369039 - 1. assign V011542 = V058962 - 1. assign V009123 = V143736 + 1. assign V054751 = V428727. assign V856089 = V343862 + 1. assign V015898 = V892650 - 1. assign V568958 = V728833 - 1. assign V741242 = V745687 + 1. assign V327906 = V858126 - 1. assign V924221 = V499951 + 1. assign V756001 = V011436. assign V301906 = V895100 - 1. assign V313815 = V207589. assign V175897 = 1. assign V058962 = V114248 + 1. assign V149591 = V480267 + 1. assign V061313 = V151686 - 1. assign V634698 = V369039 - 1. assign V369039 = V891413 + 1. assign V636295 = V063678 - 1. assign V785515 = V137536 - 1. assign V624040 = V745687 - 1. assign V858126 = V063678. assign V060180 = V858126. assign V492133 = V669699 - 1. assign V892650 = V058962 + 1. assign V068570 = V834965 + 1. assign V992539 = V010957. assign V256208 = V120440. assign V198544 = V982506 + 1. assign V274095 = V337826 - 1. assign V315185 = V327906 + 1. assign V730684 = V781548 + 1. assign V746774 = V961349 + 1. assign V238148 = V891413 - 1. assign V661043 = V497652. assign V929643 = V301906. assign V179638 = V481594 - 1. assign V887112 = V015898. assign V154446 = V895100. assign V411396 = V728833. assign V239493 = V834965. assign V114248 = V240621 + 1. assign V288858 = V491529. assign V301973 = V497652 - 1. assign V652619 = V207632 + 1. assign V213767 = V728833 + 1. assign V598915 = V921249 + 1. assign V520376 = V497652. assign V828353 = V481594 + 1. assign V200557 = V891413. assign V086070 = V432446 + 1. assign V623510 = V194700 + 1. assign V942722 = V828353 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV175897 = 1;\n\nFrom these direct assignment(s), we have: \nV779535 = V175897 = 1;\nNo other variables can be derived from V779535;\nNo other variables can be derived from V175897;\n\nNow we have done all the calculations. Derived variables are:\nV175897 = 1;\nV779535 = 1;\n\nNow we have finished this problem. ANSWER:\nV175897, V779535\n", "role": "assistant" } ]

[ "V910980" ]

[ { "content": "<context>\nassign V560332 = V780500. assign V301679 = V925419 + 1. assign V677098 = V851522 - 1. assign V265475 = V178891. assign V797562 = V623573 + 1. assign V574093 = V715546 + 1. assign V349560 = V193812 + 1. assign V922913 = V450138 - 1. assign V260536 = V511151 - 1. assign V360166 = V334160 - 1. assign V180513 = V674236 - 1. assign V925419 = V193812. assign V999738 = V271234. assign V581439 = V163337. assign V634400 = V193812. assign V674236 = V744469 + 1. assign V521797 = V552716 - 1. assign V575139 = V574093. assign V385797 = V276473 - 1. assign V754385 = V158101. assign V728608 = V276473 - 1. assign V264405 = V728608. assign V927738 = V720195. assign V003095 = V355914. assign V765288 = V087824 - 1. assign V549603 = V552716. assign V355914 = V780500. assign V642390 = V851522 + 1. assign V776385 = V032332 - 1. assign V589546 = V356157. assign V824368 = V269181. assign V987331 = V791344. assign V128402 = V048845 - 1. assign V693505 = V765288. assign V183905 = V180203. assign V193812 = V747033 - 1. assign V163337 = V193812 - 1. assign V600975 = V355914 + 1. assign V974348 = V250722 + 1. assign V701054 = V118276 - 1. assign V269181 = V384257. assign V178891 = V012465 + 1. assign V158612 = V538070 - 1. assign V130747 = V747033 + 1. assign V165490 = V728608 - 1. assign V647695 = V529752 + 1. assign V213194 = V728608 - 1. assign V655892 = V824368 + 1. assign V240008 = V765043. assign V780500 = V012002 + 1. assign V623573 = V158101. assign V529752 = V250722. assign V356157 = V095163 + 1. assign V574188 = V670903 - 1. assign V073120 = V101257 + 1. assign V659378 = V384257 - 1. assign V064031 = V765043 - 1. assign V992258 = V248982 + 1. assign V648050 = V072138 + 1. assign V666160 = V355914 - 1. assign V617143 = V101257. assign V924504 = V648050 + 1. assign V635119 = V450138 - 1. assign V127927 = V276473 - 1. assign V547418 = V095163 + 1. assign V797793 = V218645. assign V929725 = V130747 - 1. assign V718407 = V690032 + 1. assign V095261 = V012002. assign V095163 = V765043. assign V740734 = V538070 - 1. assign V511151 = V010450 - 1. assign V575632 = V012002 - 1. assign V910980 = 1. assign V276761 = V178891. assign V301018 = V677098 - 1. assign V203719 = V087824 - 1. assign V379913 = V744469 + 1. assign V199116 = V679801. assign V805535 = V466386. assign V158101 = V728608. assign V305889 = V073120. assign V180203 = V276473. assign V715546 = V101257. assign V921648 = V677108 - 1. assign V747033 = V355914. assign V947446 = V776385 + 1. assign V429450 = V521797 + 1. assign V203325 = V552716 + 1. assign V071163 = V655892. assign V266162 = V178891 - 1. assign V449996 = V271234 + 1. assign V010450 = V276473. assign V677108 = V791344 + 1. assign V384257 = V555947 - 1. assign V469581 = V059151 - 1. assign V978349 = V765043 + 1. assign V379412 = V402205. assign V552716 = V178891 - 1. assign V617384 = V872531 + 1. assign V390928 = V003095. assign V250722 = V538070 + 1. assign V118276 = V649003 - 1. assign V072138 = V774191 + 1. assign V032332 = V728608 - 1. assign V012002 = V048845. assign V750555 = V095261 + 1. assign V648290 = V180203 - 1. assign V962179 = V018429. assign V714330 = V048845 - 1. assign V450138 = V059151 + 1. assign V087824 = V538070. assign V791344 = V158101 - 1. assign V909966 = V677098 - 1. assign V633290 = V301679 + 1. assign V736947 = V402205 - 1. assign V218645 = V872531 + 1. assign V334160 = V250722. assign V594754 = V403204. assign V207421 = V992258 + 1. assign V954576 = V797562 - 1. assign V627337 = V617384. assign V248982 = V101257. assign V821661 = V666160 - 1. assign V720195 = V180203. assign V744469 = V265475 - 1. assign V649003 = V301018 + 1. assign V101257 = V012002 + 1. assign V048845 = V276473. assign V744360 = V087824. assign V241619 = V127927 - 1. assign V774191 = V547418 + 1. assign V661584 = V780500 - 1. assign V973850 = V127927 + 1. assign V403204 = V087824 - 1. assign V220024 = V973850 - 1. assign V276179 = V048845 + 1. assign V538070 = V728608 - 1. assign V059151 = V715546 + 1. assign V719313 = V555947 + 1. assign V415103 = V012002. assign V818782 = V679801 - 1. assign V958761 = V910980 + 1. assign V939351 = V747033. assign V101532 = V012002. assign V838832 = V728608. assign V128938 = V973850 + 1. assign V670903 = V415103. assign V343530 = V780500 + 1. assign V366765 = V560332 + 1. assign V018429 = V178891 + 1. assign V316529 = V203719. assign V679801 = V276179. assign V690032 = V264405. assign V376985 = V218645 + 1. assign V078218 = V384257. assign V466386 = V791344 + 1. assign V872531 = V715546 + 1. assign V765043 = V415103 + 1. assign V012465 = V276473 + 1. assign V555947 = V276473 - 1. assign V988986 = V466386 + 1. assign V456748 = V305889 - 1. assign V014316 = V988986 - 1. assign V408476 = V574093. assign V851522 = V791344 + 1. assign V271234 = V012002. assign V435084 = V736947 - 1. assign V326824 = V627337 + 1. assign V855827 = V128938 + 1. assign V402205 = V600975 + 1. assign V009970 = V127927.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V560332 = V780500. assign V301679 = V925419 + 1. assign V677098 = V851522 - 1. assign V265475 = V178891. assign V797562 = V623573 + 1. assign V574093 = V715546 + 1. assign V349560 = V193812 + 1. assign V922913 = V450138 - 1. assign V260536 = V511151 - 1. assign V360166 = V334160 - 1. assign V180513 = V674236 - 1. assign V925419 = V193812. assign V999738 = V271234. assign V581439 = V163337. assign V634400 = V193812. assign V674236 = V744469 + 1. assign V521797 = V552716 - 1. assign V575139 = V574093. assign V385797 = V276473 - 1. assign V754385 = V158101. assign V728608 = V276473 - 1. assign V264405 = V728608. assign V927738 = V720195. assign V003095 = V355914. assign V765288 = V087824 - 1. assign V549603 = V552716. assign V355914 = V780500. assign V642390 = V851522 + 1. assign V776385 = V032332 - 1. assign V589546 = V356157. assign V824368 = V269181. assign V987331 = V791344. assign V128402 = V048845 - 1. assign V693505 = V765288. assign V183905 = V180203. assign V193812 = V747033 - 1. assign V163337 = V193812 - 1. assign V600975 = V355914 + 1. assign V974348 = V250722 + 1. assign V701054 = V118276 - 1. assign V269181 = V384257. assign V178891 = V012465 + 1. assign V158612 = V538070 - 1. assign V130747 = V747033 + 1. assign V165490 = V728608 - 1. assign V647695 = V529752 + 1. assign V213194 = V728608 - 1. assign V655892 = V824368 + 1. assign V240008 = V765043. assign V780500 = V012002 + 1. assign V623573 = V158101. assign V529752 = V250722. assign V356157 = V095163 + 1. assign V574188 = V670903 - 1. assign V073120 = V101257 + 1. assign V659378 = V384257 - 1. assign V064031 = V765043 - 1. assign V992258 = V248982 + 1. assign V648050 = V072138 + 1. assign V666160 = V355914 - 1. assign V617143 = V101257. assign V924504 = V648050 + 1. assign V635119 = V450138 - 1. assign V127927 = V276473 - 1. assign V547418 = V095163 + 1. assign V797793 = V218645. assign V929725 = V130747 - 1. assign V718407 = V690032 + 1. assign V095261 = V012002. assign V095163 = V765043. assign V740734 = V538070 - 1. assign V511151 = V010450 - 1. assign V575632 = V012002 - 1. assign V910980 = 1. assign V276761 = V178891. assign V301018 = V677098 - 1. assign V203719 = V087824 - 1. assign V379913 = V744469 + 1. assign V199116 = V679801. assign V805535 = V466386. assign V158101 = V728608. assign V305889 = V073120. assign V180203 = V276473. assign V715546 = V101257. assign V921648 = V677108 - 1. assign V747033 = V355914. assign V947446 = V776385 + 1. assign V429450 = V521797 + 1. assign V203325 = V552716 + 1. assign V071163 = V655892. assign V266162 = V178891 - 1. assign V449996 = V271234 + 1. assign V010450 = V276473. assign V677108 = V791344 + 1. assign V384257 = V555947 - 1. assign V469581 = V059151 - 1. assign V978349 = V765043 + 1. assign V379412 = V402205. assign V552716 = V178891 - 1. assign V617384 = V872531 + 1. assign V390928 = V003095. assign V250722 = V538070 + 1. assign V118276 = V649003 - 1. assign V072138 = V774191 + 1. assign V032332 = V728608 - 1. assign V012002 = V048845. assign V750555 = V095261 + 1. assign V648290 = V180203 - 1. assign V962179 = V018429. assign V714330 = V048845 - 1. assign V450138 = V059151 + 1. assign V087824 = V538070. assign V791344 = V158101 - 1. assign V909966 = V677098 - 1. assign V633290 = V301679 + 1. assign V736947 = V402205 - 1. assign V218645 = V872531 + 1. assign V334160 = V250722. assign V594754 = V403204. assign V207421 = V992258 + 1. assign V954576 = V797562 - 1. assign V627337 = V617384. assign V248982 = V101257. assign V821661 = V666160 - 1. assign V720195 = V180203. assign V744469 = V265475 - 1. assign V649003 = V301018 + 1. assign V101257 = V012002 + 1. assign V048845 = V276473. assign V744360 = V087824. assign V241619 = V127927 - 1. assign V774191 = V547418 + 1. assign V661584 = V780500 - 1. assign V973850 = V127927 + 1. assign V403204 = V087824 - 1. assign V220024 = V973850 - 1. assign V276179 = V048845 + 1. assign V538070 = V728608 - 1. assign V059151 = V715546 + 1. assign V719313 = V555947 + 1. assign V415103 = V012002. assign V818782 = V679801 - 1. assign V958761 = V910980 + 1. assign V939351 = V747033. assign V101532 = V012002. assign V838832 = V728608. assign V128938 = V973850 + 1. assign V670903 = V415103. assign V343530 = V780500 + 1. assign V366765 = V560332 + 1. assign V018429 = V178891 + 1. assign V316529 = V203719. assign V679801 = V276179. assign V690032 = V264405. assign V376985 = V218645 + 1. assign V078218 = V384257. assign V466386 = V791344 + 1. assign V872531 = V715546 + 1. assign V765043 = V415103 + 1. assign V012465 = V276473 + 1. assign V555947 = V276473 - 1. assign V988986 = V466386 + 1. assign V456748 = V305889 - 1. assign V014316 = V988986 - 1. assign V408476 = V574093. assign V851522 = V791344 + 1. assign V271234 = V012002. assign V435084 = V736947 - 1. assign V326824 = V627337 + 1. assign V855827 = V128938 + 1. assign V402205 = V600975 + 1. assign V009970 = V127927.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV910980 = 1;\n\nFrom these direct assignment(s), we have: \nV958761 = V910980 + 1 = 1 + 1 =2;\nNo other variables can be derived from V958761;\nNo other variables can be derived from V910980;\n\nNow we have done all the calculations. Derived variables are:\nV910980 = 1;\nV958761 = 2;\n\nNow we have finished this problem. ANSWER:\nV910980\n", "role": "assistant" } ]

[ "V493403" ]

[ { "content": "<context>\nassign V215120 = V334970 + 1. assign V406823 = V034218 + 1. assign V270910 = V150989 - 1. assign V680178 = V065795. assign V585898 = V208033. assign V958224 = V675280 + 1. assign V107459 = V213747 - 1. assign V633074 = V486042 - 1. assign V379015 = V468068 + 1. assign V618912 = V490744 - 1. assign V969402 = V455288. assign V347142 = V818258 + 1. assign V320146 = V012185 - 1. assign V693011 = V969402. assign V535765 = V675280 - 1. assign V867391 = V314675 + 1. assign V996058 = V486042 - 1. assign V928929 = V531109 + 1. assign V326355 = V306348 - 1. assign V580411 = V754052 - 1. assign V744563 = V270910 - 1. assign V444223 = V875040. assign V712662 = V701371. assign V311642 = V379015 + 1. assign V327020 = V844562 - 1. assign V386938 = V535765. assign V965670 = V795773. assign V459648 = V314675. assign V701371 = V958224 + 1. assign V675280 = V012185. assign V241179 = V215120 + 1. assign V834788 = V747686 - 1. assign V797294 = V012185 - 1. assign V202668 = V795773. assign V425177 = V334970 + 1. assign V624606 = V462304. assign V070430 = V150989 + 1. assign V795773 = V614881 + 1. assign V806543 = V430507 - 1. assign V934311 = V867391 - 1. assign V290366 = V773157 + 1. assign V024165 = V393809 + 1. assign V430507 = V675280 + 1. assign V726652 = V502910 - 1. assign V456425 = V057905 + 1. assign V502910 = V213747. assign V490744 = V208033 + 1. assign V614881 = V444223 + 1. assign V928433 = V946917 + 1. assign V733134 = V531109. assign V960039 = V004881 - 1. assign V646148 = V867391. assign V726565 = V012185 - 1. assign V264592 = V614881 - 1. assign V230190 = V855071. assign V889473 = V585898 + 1. assign V334970 = V459648 + 1. assign V118721 = V062826 - 1. assign V298406 = V531109. assign V787830 = V795773. assign V430907 = V585898 - 1. assign V715709 = V675280 + 1. assign V271676 = V388413. assign V213747 = V388413 - 1. assign V520982 = V614881 - 1. assign V655980 = V870846 + 1. assign V444218 = V584288 - 1. assign V314675 = V388413 - 1. assign V384369 = V012185 + 1. assign V782931 = V726652 - 1. assign V712720 = V754052 + 1. assign V674824 = V870846. assign V374940 = V459648. assign V505636 = V773157 - 1. assign V736126 = V958224 - 1. assign V372898 = V624606 - 1. assign V065795 = V372898 - 1. assign V464333 = V754052. assign V034218 = V614881 + 1. assign V891699 = V065795. assign V773157 = V795773 - 1. assign V231850 = V855071 + 1. assign V208882 = V813278. assign V486042 = V444223 + 1. assign V130069 = V584288. assign V810228 = V975148 + 1. assign V349209 = V571087. assign V927814 = V884387. assign V127931 = V674824 - 1. assign V299735 = V388413 - 1. assign V850393 = V375246. assign V150989 = V298406 - 1. assign V348142 = V466622 - 1. assign V754052 = V928433. assign V671137 = V271676. assign V967392 = V384369 + 1. assign V917294 = V462304 - 1. assign V388413 = V733134. assign V004881 = V298406. assign V818498 = V571087 + 1. assign V185479 = V754209 + 1. assign V393809 = V675280 - 1. assign V428829 = 1. assign V748221 = V614881. assign V037470 = V466622 + 1. assign V584288 = V531109 - 1. assign V571087 = V320146 + 1. assign V306348 = V299735 + 1. assign V889374 = V272413. assign V875040 = V531109 + 1. assign V609440 = V584288 - 1. assign V830545 = V701371. assign V844562 = V459648 + 1. assign V480017 = V063016 - 1. assign V063016 = V295508 + 1. assign V453078 = V290366. assign V879102 = V975148 - 1. assign V996465 = V797294. assign V075911 = V585898. assign V083085 = V298406. assign V431668 = V063016. assign V012185 = V733134. assign V747686 = V580411. assign V617204 = V444218. assign V870846 = V884387 + 1. assign V915411 = V795773. assign V455288 = V468068 - 1. assign V493403 = V428829 - 1. assign V976223 = V891699 + 1. assign V813278 = V726565 + 1. assign V422372 = V744563. assign V188068 = V927585 + 1. assign V884636 = V012185. assign V927585 = V917294 + 1. assign V748862 = V934311 - 1. assign V375246 = V655980. assign V548223 = V585898. assign V350466 = V580411. assign V466231 = V795773 + 1. assign V884387 = V733134. assign V818258 = V422372. assign V599291 = V150795. assign V793587 = V715709 + 1. assign V975148 = V320146 + 1. assign V855071 = V012185 + 1. assign V121703 = V782931 - 1. assign V936494 = V150989 + 1. assign V171779 = V618912. assign V966012 = V733134 + 1. assign V150795 = V884387 - 1. assign V272413 = V037470. assign V068279 = V787830 - 1. assign V466622 = V012185 + 1. assign V208033 = V797294 - 1. assign V062826 = V520982. assign V351366 = V875040 + 1. assign V295508 = V806543 - 1. assign V754209 = V884636. assign V780573 = V884636 - 1. assign V468068 = V884387. assign V057905 = V270910. assign V659323 = V063016 - 1. assign V369620 = V976223. assign V946917 = V531109 - 1. assign V355023 = V855071 - 1. assign V578400 = V969402 - 1. assign V555103 = V306348. assign V462304 = V379015 + 1. assign V029918 = V502910 - 1. assign V857334 = V459648. assign V600752 = V996058 + 1. assign V165345 = V787830 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V215120 = V334970 + 1. assign V406823 = V034218 + 1. assign V270910 = V150989 - 1. assign V680178 = V065795. assign V585898 = V208033. assign V958224 = V675280 + 1. assign V107459 = V213747 - 1. assign V633074 = V486042 - 1. assign V379015 = V468068 + 1. assign V618912 = V490744 - 1. assign V969402 = V455288. assign V347142 = V818258 + 1. assign V320146 = V012185 - 1. assign V693011 = V969402. assign V535765 = V675280 - 1. assign V867391 = V314675 + 1. assign V996058 = V486042 - 1. assign V928929 = V531109 + 1. assign V326355 = V306348 - 1. assign V580411 = V754052 - 1. assign V744563 = V270910 - 1. assign V444223 = V875040. assign V712662 = V701371. assign V311642 = V379015 + 1. assign V327020 = V844562 - 1. assign V386938 = V535765. assign V965670 = V795773. assign V459648 = V314675. assign V701371 = V958224 + 1. assign V675280 = V012185. assign V241179 = V215120 + 1. assign V834788 = V747686 - 1. assign V797294 = V012185 - 1. assign V202668 = V795773. assign V425177 = V334970 + 1. assign V624606 = V462304. assign V070430 = V150989 + 1. assign V795773 = V614881 + 1. assign V806543 = V430507 - 1. assign V934311 = V867391 - 1. assign V290366 = V773157 + 1. assign V024165 = V393809 + 1. assign V430507 = V675280 + 1. assign V726652 = V502910 - 1. assign V456425 = V057905 + 1. assign V502910 = V213747. assign V490744 = V208033 + 1. assign V614881 = V444223 + 1. assign V928433 = V946917 + 1. assign V733134 = V531109. assign V960039 = V004881 - 1. assign V646148 = V867391. assign V726565 = V012185 - 1. assign V264592 = V614881 - 1. assign V230190 = V855071. assign V889473 = V585898 + 1. assign V334970 = V459648 + 1. assign V118721 = V062826 - 1. assign V298406 = V531109. assign V787830 = V795773. assign V430907 = V585898 - 1. assign V715709 = V675280 + 1. assign V271676 = V388413. assign V213747 = V388413 - 1. assign V520982 = V614881 - 1. assign V655980 = V870846 + 1. assign V444218 = V584288 - 1. assign V314675 = V388413 - 1. assign V384369 = V012185 + 1. assign V782931 = V726652 - 1. assign V712720 = V754052 + 1. assign V674824 = V870846. assign V374940 = V459648. assign V505636 = V773157 - 1. assign V736126 = V958224 - 1. assign V372898 = V624606 - 1. assign V065795 = V372898 - 1. assign V464333 = V754052. assign V034218 = V614881 + 1. assign V891699 = V065795. assign V773157 = V795773 - 1. assign V231850 = V855071 + 1. assign V208882 = V813278. assign V486042 = V444223 + 1. assign V130069 = V584288. assign V810228 = V975148 + 1. assign V349209 = V571087. assign V927814 = V884387. assign V127931 = V674824 - 1. assign V299735 = V388413 - 1. assign V850393 = V375246. assign V150989 = V298406 - 1. assign V348142 = V466622 - 1. assign V754052 = V928433. assign V671137 = V271676. assign V967392 = V384369 + 1. assign V917294 = V462304 - 1. assign V388413 = V733134. assign V004881 = V298406. assign V818498 = V571087 + 1. assign V185479 = V754209 + 1. assign V393809 = V675280 - 1. assign V428829 = 1. assign V748221 = V614881. assign V037470 = V466622 + 1. assign V584288 = V531109 - 1. assign V571087 = V320146 + 1. assign V306348 = V299735 + 1. assign V889374 = V272413. assign V875040 = V531109 + 1. assign V609440 = V584288 - 1. assign V830545 = V701371. assign V844562 = V459648 + 1. assign V480017 = V063016 - 1. assign V063016 = V295508 + 1. assign V453078 = V290366. assign V879102 = V975148 - 1. assign V996465 = V797294. assign V075911 = V585898. assign V083085 = V298406. assign V431668 = V063016. assign V012185 = V733134. assign V747686 = V580411. assign V617204 = V444218. assign V870846 = V884387 + 1. assign V915411 = V795773. assign V455288 = V468068 - 1. assign V493403 = V428829 - 1. assign V976223 = V891699 + 1. assign V813278 = V726565 + 1. assign V422372 = V744563. assign V188068 = V927585 + 1. assign V884636 = V012185. assign V927585 = V917294 + 1. assign V748862 = V934311 - 1. assign V375246 = V655980. assign V548223 = V585898. assign V350466 = V580411. assign V466231 = V795773 + 1. assign V884387 = V733134. assign V818258 = V422372. assign V599291 = V150795. assign V793587 = V715709 + 1. assign V975148 = V320146 + 1. assign V855071 = V012185 + 1. assign V121703 = V782931 - 1. assign V936494 = V150989 + 1. assign V171779 = V618912. assign V966012 = V733134 + 1. assign V150795 = V884387 - 1. assign V272413 = V037470. assign V068279 = V787830 - 1. assign V466622 = V012185 + 1. assign V208033 = V797294 - 1. assign V062826 = V520982. assign V351366 = V875040 + 1. assign V295508 = V806543 - 1. assign V754209 = V884636. assign V780573 = V884636 - 1. assign V468068 = V884387. assign V057905 = V270910. assign V659323 = V063016 - 1. assign V369620 = V976223. assign V946917 = V531109 - 1. assign V355023 = V855071 - 1. assign V578400 = V969402 - 1. assign V555103 = V306348. assign V462304 = V379015 + 1. assign V029918 = V502910 - 1. assign V857334 = V459648. assign V600752 = V996058 + 1. assign V165345 = V787830 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV428829 = 1;\n\nFrom these direct assignment(s), we have: \nV493403 = V428829 - 1 = 1 - 1 =0;\nNo other variables can be derived from V493403;\nNo other variables can be derived from V428829;\n\nNow we have done all the calculations. Derived variables are:\nV428829 = 1;\nV493403 = 0;\n\nNow we have finished this problem. ANSWER:\nV493403\n", "role": "assistant" } ]

[ "V526192", "V491753" ]

[ { "content": "<context>\nassign V421407 = V911463. assign V815380 = V081334 - 1. assign V171176 = V842228. assign V038279 = V613466. assign V775703 = V948134. assign V491753 = V526192. assign V342463 = V702473 + 1. assign V390885 = V948134 + 1. assign V589022 = V444633 + 1. assign V792006 = V975269. assign V128553 = V830125 + 1. assign V026606 = V212777 + 1. assign V098310 = V799061 + 1. assign V908689 = V816826 - 1. assign V480442 = V953888. assign V837276 = V911463 - 1. assign V558525 = V639096 - 1. assign V589419 = V087784 - 1. assign V977223 = V738594. assign V402222 = V425596 + 1. assign V190295 = V394184 - 1. assign V880133 = V472691 + 1. assign V347012 = V464182. assign V331185 = V190295. assign V212777 = V816826. assign V911463 = V613466. assign V705574 = V842228 - 1. assign V587912 = V639096 + 1. assign V062814 = V983101. assign V642668 = V983101 + 1. assign V394471 = V212777. assign V411036 = V775703. assign V731698 = V472691. assign V255255 = V048986 - 1. assign V644694 = V298723 - 1. assign V298723 = V713038 + 1. assign V772775 = V020527 - 1. assign V344557 = V115248. assign V446358 = V221390 + 1. assign V089269 = V000010 - 1. assign V931099 = V183005 + 1. assign V051954 = V880133 - 1. assign V045558 = V613466 + 1. assign V070817 = V212777 - 1. assign V653836 = V431115. assign V830125 = V425596. assign V020527 = V984019 + 1. assign V768063 = V842228 + 1. assign V678297 = V157676 + 1. assign V235222 = V678297. assign V474815 = V074270 + 1. assign V729386 = V725107 + 1. assign V639096 = V702340 + 1. assign V984019 = V394471 - 1. assign V081334 = V498060 - 1. assign V544674 = V696332 - 1. assign V260794 = V212777 + 1. assign V404471 = V128553 - 1. assign V645333 = V026606 - 1. assign V488924 = V212777. assign V010685 = V738594 - 1. assign V834689 = V966938. assign V968268 = V074270 + 1. assign V496508 = V081334. assign V286951 = V842228 + 1. assign V936387 = V183005 + 1. assign V725107 = V394471. assign V234460 = V472691 - 1. assign V799061 = V644234 + 1. assign V770778 = V613466 - 1. assign V044742 = V738594 - 1. assign V176934 = V984019 - 1. assign V824072 = V020527 + 1. assign V591350 = V234460 + 1. assign V116028 = V705574 - 1. assign V702340 = V488924 - 1. assign V533215 = V411036. assign V366448 = V966938 + 1. assign V218903 = V298723 - 1. assign V418032 = V119094 + 1. assign V183005 = V447593. assign V024489 = V128553 + 1. assign V493991 = V911463. assign V488266 = V772775 + 1. assign V425596 = V404580. assign V119094 = V842228 + 1. assign V789435 = V696332. assign V162049 = V842228 - 1. assign V092549 = V791596 + 1. assign V648971 = V425596 - 1. assign V966938 = V613466 - 1. assign V649350 = V402222 - 1. assign V922584 = V977223 - 1. assign V431115 = V234460 + 1. assign V125392 = V639096 + 1. assign V975269 = V816826 - 1. assign V221390 = V260794. assign V472691 = V212777 - 1. assign V157676 = V183005 - 1. assign V722737 = V157676 - 1. assign V842228 = V488924 - 1. assign V635233 = V613466. assign V567495 = V725107 + 1. assign V954947 = V115248. assign V586714 = V705574 + 1. assign V166921 = V402222. assign V048986 = V575782 + 1. assign V447593 = V816826. assign V985431 = V841964 + 1. assign V423932 = V162049. assign V137697 = V975269. assign V394184 = V977223. assign V797798 = V983101. assign V444633 = V498060 - 1. assign V498060 = V984019. assign V458360 = V948134 - 1. assign V944742 = V613466 - 1. assign V971878 = V119094 - 1. assign V585727 = V119094. assign V983101 = V074270 + 1. assign V090977 = V948134 - 1. assign V562881 = V880133 + 1. assign V087784 = V587912. assign V791596 = V162049 + 1. assign V967769 = V183005. assign V733634 = V344557 + 1. assign V575782 = V731698. assign V953888 = V789435 - 1. assign V702473 = V128553. assign V126483 = V434244. assign V011297 = V212777 - 1. assign V685130 = V051954. assign V160727 = V653836 + 1. assign V672238 = V260775 + 1. assign V736933 = V985431 + 1. assign V464182 = V472691. assign V948134 = V472691 + 1. assign V527777 = V575782 - 1. assign V725135 = V984019. assign V119657 = V527777 - 1. assign V128234 = V649350. assign V074270 = V183005 - 1. assign V901384 = V696332. assign V889789 = V635233 + 1. assign V397744 = V645333 + 1. assign V240723 = V404580 - 1. assign V713038 = V968268. assign V052139 = V968268 - 1. assign V356955 = V587912 + 1. assign V696332 = V356955 + 1. assign V841964 = V702340 + 1. assign V434244 = V713038. assign V555547 = V344557 + 1. assign V427137 = V775703. assign V925671 = V587912. assign V613466 = V074270 - 1. assign V000010 = V162049 - 1. assign V404580 = V234460 - 1. assign V644234 = V425596 - 1. assign V526192 = 2. assign V260775 = V815380 + 1. assign V738594 = V000010 + 1. assign V115248 = V234460 + 1. assign V168568 = V837276 + 1. assign V444795 = V731698. assign V164649 = V567495 + 1. assign V964869 = V298723 + 1. assign V577421 = V789435 - 1. assign V469879 = V062814. assign V577697 = V971878. assign V995324 = V062814 + 1. assign V749789 = V685130 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V421407 = V911463. assign V815380 = V081334 - 1. assign V171176 = V842228. assign V038279 = V613466. assign V775703 = V948134. assign V491753 = V526192. assign V342463 = V702473 + 1. assign V390885 = V948134 + 1. assign V589022 = V444633 + 1. assign V792006 = V975269. assign V128553 = V830125 + 1. assign V026606 = V212777 + 1. assign V098310 = V799061 + 1. assign V908689 = V816826 - 1. assign V480442 = V953888. assign V837276 = V911463 - 1. assign V558525 = V639096 - 1. assign V589419 = V087784 - 1. assign V977223 = V738594. assign V402222 = V425596 + 1. assign V190295 = V394184 - 1. assign V880133 = V472691 + 1. assign V347012 = V464182. assign V331185 = V190295. assign V212777 = V816826. assign V911463 = V613466. assign V705574 = V842228 - 1. assign V587912 = V639096 + 1. assign V062814 = V983101. assign V642668 = V983101 + 1. assign V394471 = V212777. assign V411036 = V775703. assign V731698 = V472691. assign V255255 = V048986 - 1. assign V644694 = V298723 - 1. assign V298723 = V713038 + 1. assign V772775 = V020527 - 1. assign V344557 = V115248. assign V446358 = V221390 + 1. assign V089269 = V000010 - 1. assign V931099 = V183005 + 1. assign V051954 = V880133 - 1. assign V045558 = V613466 + 1. assign V070817 = V212777 - 1. assign V653836 = V431115. assign V830125 = V425596. assign V020527 = V984019 + 1. assign V768063 = V842228 + 1. assign V678297 = V157676 + 1. assign V235222 = V678297. assign V474815 = V074270 + 1. assign V729386 = V725107 + 1. assign V639096 = V702340 + 1. assign V984019 = V394471 - 1. assign V081334 = V498060 - 1. assign V544674 = V696332 - 1. assign V260794 = V212777 + 1. assign V404471 = V128553 - 1. assign V645333 = V026606 - 1. assign V488924 = V212777. assign V010685 = V738594 - 1. assign V834689 = V966938. assign V968268 = V074270 + 1. assign V496508 = V081334. assign V286951 = V842228 + 1. assign V936387 = V183005 + 1. assign V725107 = V394471. assign V234460 = V472691 - 1. assign V799061 = V644234 + 1. assign V770778 = V613466 - 1. assign V044742 = V738594 - 1. assign V176934 = V984019 - 1. assign V824072 = V020527 + 1. assign V591350 = V234460 + 1. assign V116028 = V705574 - 1. assign V702340 = V488924 - 1. assign V533215 = V411036. assign V366448 = V966938 + 1. assign V218903 = V298723 - 1. assign V418032 = V119094 + 1. assign V183005 = V447593. assign V024489 = V128553 + 1. assign V493991 = V911463. assign V488266 = V772775 + 1. assign V425596 = V404580. assign V119094 = V842228 + 1. assign V789435 = V696332. assign V162049 = V842228 - 1. assign V092549 = V791596 + 1. assign V648971 = V425596 - 1. assign V966938 = V613466 - 1. assign V649350 = V402222 - 1. assign V922584 = V977223 - 1. assign V431115 = V234460 + 1. assign V125392 = V639096 + 1. assign V975269 = V816826 - 1. assign V221390 = V260794. assign V472691 = V212777 - 1. assign V157676 = V183005 - 1. assign V722737 = V157676 - 1. assign V842228 = V488924 - 1. assign V635233 = V613466. assign V567495 = V725107 + 1. assign V954947 = V115248. assign V586714 = V705574 + 1. assign V166921 = V402222. assign V048986 = V575782 + 1. assign V447593 = V816826. assign V985431 = V841964 + 1. assign V423932 = V162049. assign V137697 = V975269. assign V394184 = V977223. assign V797798 = V983101. assign V444633 = V498060 - 1. assign V498060 = V984019. assign V458360 = V948134 - 1. assign V944742 = V613466 - 1. assign V971878 = V119094 - 1. assign V585727 = V119094. assign V983101 = V074270 + 1. assign V090977 = V948134 - 1. assign V562881 = V880133 + 1. assign V087784 = V587912. assign V791596 = V162049 + 1. assign V967769 = V183005. assign V733634 = V344557 + 1. assign V575782 = V731698. assign V953888 = V789435 - 1. assign V702473 = V128553. assign V126483 = V434244. assign V011297 = V212777 - 1. assign V685130 = V051954. assign V160727 = V653836 + 1. assign V672238 = V260775 + 1. assign V736933 = V985431 + 1. assign V464182 = V472691. assign V948134 = V472691 + 1. assign V527777 = V575782 - 1. assign V725135 = V984019. assign V119657 = V527777 - 1. assign V128234 = V649350. assign V074270 = V183005 - 1. assign V901384 = V696332. assign V889789 = V635233 + 1. assign V397744 = V645333 + 1. assign V240723 = V404580 - 1. assign V713038 = V968268. assign V052139 = V968268 - 1. assign V356955 = V587912 + 1. assign V696332 = V356955 + 1. assign V841964 = V702340 + 1. assign V434244 = V713038. assign V555547 = V344557 + 1. assign V427137 = V775703. assign V925671 = V587912. assign V613466 = V074270 - 1. assign V000010 = V162049 - 1. assign V404580 = V234460 - 1. assign V644234 = V425596 - 1. assign V526192 = 2. assign V260775 = V815380 + 1. assign V738594 = V000010 + 1. assign V115248 = V234460 + 1. assign V168568 = V837276 + 1. assign V444795 = V731698. assign V164649 = V567495 + 1. assign V964869 = V298723 + 1. assign V577421 = V789435 - 1. assign V469879 = V062814. assign V577697 = V971878. assign V995324 = V062814 + 1. assign V749789 = V685130 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV526192 = 2;\n\nFrom these direct assignment(s), we have: \nV491753 = V526192 = 2;\nNo other variables can be derived from V491753;\nNo other variables can be derived from V526192;\n\nNow we have done all the calculations. Derived variables are:\nV526192 = 2;\nV491753 = 2;\n\nNow we have finished this problem. ANSWER:\nV526192, V491753\n", "role": "assistant" } ]

[ "V785355" ]

[ { "content": "<context>\nassign V735809 = V884435. assign V771772 = V783732 + 1. assign V031123 = V556634 - 1. assign V019500 = V108975. assign V196887 = V718528. assign V850888 = V912824. assign V062562 = V985039 + 1. assign V178189 = V956510. assign V463392 = V787701. assign V361505 = V315177 + 1. assign V113123 = V459073. assign V670251 = V999224 + 1. assign V341137 = V684016. assign V109056 = V684016 + 1. assign V550202 = V816322 + 1. assign V556634 = V383783. assign V295555 = V974859 + 1. assign V836805 = V661470 + 1. assign V865876 = V684538. assign V967170 = V196887 + 1. assign V209812 = V203159 + 1. assign V383783 = V711716 - 1. assign V998586 = V956510 - 1. assign V672315 = V975711. assign V022406 = V640391 + 1. assign V569679 = V284771. assign V566084 = V912824 - 1. assign V364489 = V036396 - 1. assign V590259 = V383783 - 1. assign V541959 = V938842 - 1. assign V217977 = V999014 + 1. assign V306724 = V661518 + 1. assign V240004 = V912824 - 1. assign V049320 = V480580 - 1. assign V954350 = V711716 - 1. assign V020482 = V938842 - 1. assign V356965 = V499356 + 1. assign V545392 = V912824 + 1. assign V323342 = V816322 + 1. assign V645946 = V985039 - 1. assign V999014 = V618992 - 1. assign V974859 = V661470. assign V480580 = V901166 + 1. assign V239708 = V806835 + 1. assign V284771 = V985039 - 1. assign V904819 = V459073 + 1. assign V489684 = V250327 - 1. assign V889887 = V590259 + 1. assign V432137 = V684538 - 1. assign V105793 = V975568 - 1. assign V548303 = V295555 + 1. assign V806835 = V383783 + 1. assign V282983 = V076938 + 1. assign V057213 = V819209 - 1. assign V898172 = V383738. assign V533440 = V436033 + 1. assign V459073 = V556634 - 1. assign V718528 = V556634 + 1. assign V708696 = V109056. assign V832592 = V974859. assign V681044 = V938842. assign V548059 = V697007 + 1. assign V116027 = V383738. assign V829812 = V590259. assign V819209 = V328632 + 1. assign V697007 = V889887 - 1. assign V185224 = V806835. assign V082158 = V049593 - 1. assign V783732 = V640391 + 1. assign V171553 = V961204 - 1. assign V060933 = V694752. assign V341152 = V358341. assign V388779 = V884435. assign V921409 = V765677 + 1. assign V816322 = V383738. assign V391556 = V566084 + 1. assign V620273 = V218698 + 1. assign V135127 = V123013 - 1. assign V819228 = V196887. assign V961204 = V999224 + 1. assign V203159 = V956510 - 1. assign V522806 = V546310. assign V421216 = V566084. assign V592735 = V670251 + 1. assign V075565 = V985039. assign V618992 = V062562 - 1. assign V015801 = V541959 + 1. assign V825098 = V991692 - 1. assign V291392 = V645946 - 1. assign V076938 = V711716 + 1. assign V785355 = V174701 - 1. assign V317310 = V542146 + 1. assign V509462 = V556634. assign V497583 = V661470. assign V537044 = V956510 - 1. assign V543481 = V806835. assign V661470 = V938842. assign V181836 = V628398 + 1. assign V189145 = V590259 - 1. assign V499356 = V315177 - 1. assign V991692 = V108975 - 1. assign V987047 = V185224. assign V884435 = V628398 - 1. assign V640391 = V816322 - 1. assign V328632 = V735809 - 1. assign V286648 = V836805 + 1. assign V250327 = V566084. assign V938842 = V306724 + 1. assign V049593 = V499356. assign V980940 = V956510 - 1. assign V694752 = V383783 - 1. assign V787701 = V522806 + 1. assign V546310 = V499356. assign V174854 = V295555 - 1. assign V942090 = V901166 - 1. assign V397570 = V999014. assign V539488 = V278620 + 1. assign V741055 = V397570 - 1. assign V684016 = V980940. assign V311205 = V917732 + 1. assign V108975 = V543481 - 1. assign V307182 = V616029 - 1. assign V592377 = V537044. assign V789068 = V178189. assign V956510 = V661470 + 1. assign V452278 = V741055 - 1. assign V138097 = V898172. assign V616029 = V697007. assign V844348 = V985039. assign V446869 = V135127 + 1. assign V239511 = V421216. assign V901222 = V957950 - 1. assign V416152 = V904819 + 1. assign V598175 = V364489. assign V754549 = V075565. assign V230469 = V991692 - 1. assign V123013 = V250327. assign V436033 = V754549 - 1. assign V315177 = V556634 + 1. assign V912824 = V383783 + 1. assign V901166 = V938842 + 1. assign V170070 = V640391. assign V628398 = V590259. assign V893657 = V062562 - 1. assign V975568 = V618992 + 1. assign V358341 = V694752 - 1. assign V218698 = V694752 + 1. assign V756109 = V694752. assign V691927 = V341152. assign V509822 = V789068 + 1. assign V917732 = V975568 + 1. assign V711716 = V957950. assign V174701 = 10. assign V036396 = V694752 - 1. assign V383738 = V545392 - 1. assign V278620 = V533440 + 1. assign V042082 = V170070 - 1. assign V072423 = V108975 + 1. assign V975711 = V556634 + 1. assign V765677 = V756109. assign V354433 = V282983. assign V605266 = V315177 - 1. assign V056756 = V954350. assign V985039 = V306724. assign V100031 = V684538 - 1. assign V957950 = V661518 + 1. assign V999224 = V436033. assign V684538 = V203159 + 1. assign V388788 = V832592 - 1. assign V935645 = V354433 + 1. assign V542146 = V543481 + 1. assign V897692 = V019500.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V735809 = V884435. assign V771772 = V783732 + 1. assign V031123 = V556634 - 1. assign V019500 = V108975. assign V196887 = V718528. assign V850888 = V912824. assign V062562 = V985039 + 1. assign V178189 = V956510. assign V463392 = V787701. assign V361505 = V315177 + 1. assign V113123 = V459073. assign V670251 = V999224 + 1. assign V341137 = V684016. assign V109056 = V684016 + 1. assign V550202 = V816322 + 1. assign V556634 = V383783. assign V295555 = V974859 + 1. assign V836805 = V661470 + 1. assign V865876 = V684538. assign V967170 = V196887 + 1. assign V209812 = V203159 + 1. assign V383783 = V711716 - 1. assign V998586 = V956510 - 1. assign V672315 = V975711. assign V022406 = V640391 + 1. assign V569679 = V284771. assign V566084 = V912824 - 1. assign V364489 = V036396 - 1. assign V590259 = V383783 - 1. assign V541959 = V938842 - 1. assign V217977 = V999014 + 1. assign V306724 = V661518 + 1. assign V240004 = V912824 - 1. assign V049320 = V480580 - 1. assign V954350 = V711716 - 1. assign V020482 = V938842 - 1. assign V356965 = V499356 + 1. assign V545392 = V912824 + 1. assign V323342 = V816322 + 1. assign V645946 = V985039 - 1. assign V999014 = V618992 - 1. assign V974859 = V661470. assign V480580 = V901166 + 1. assign V239708 = V806835 + 1. assign V284771 = V985039 - 1. assign V904819 = V459073 + 1. assign V489684 = V250327 - 1. assign V889887 = V590259 + 1. assign V432137 = V684538 - 1. assign V105793 = V975568 - 1. assign V548303 = V295555 + 1. assign V806835 = V383783 + 1. assign V282983 = V076938 + 1. assign V057213 = V819209 - 1. assign V898172 = V383738. assign V533440 = V436033 + 1. assign V459073 = V556634 - 1. assign V718528 = V556634 + 1. assign V708696 = V109056. assign V832592 = V974859. assign V681044 = V938842. assign V548059 = V697007 + 1. assign V116027 = V383738. assign V829812 = V590259. assign V819209 = V328632 + 1. assign V697007 = V889887 - 1. assign V185224 = V806835. assign V082158 = V049593 - 1. assign V783732 = V640391 + 1. assign V171553 = V961204 - 1. assign V060933 = V694752. assign V341152 = V358341. assign V388779 = V884435. assign V921409 = V765677 + 1. assign V816322 = V383738. assign V391556 = V566084 + 1. assign V620273 = V218698 + 1. assign V135127 = V123013 - 1. assign V819228 = V196887. assign V961204 = V999224 + 1. assign V203159 = V956510 - 1. assign V522806 = V546310. assign V421216 = V566084. assign V592735 = V670251 + 1. assign V075565 = V985039. assign V618992 = V062562 - 1. assign V015801 = V541959 + 1. assign V825098 = V991692 - 1. assign V291392 = V645946 - 1. assign V076938 = V711716 + 1. assign V785355 = V174701 - 1. assign V317310 = V542146 + 1. assign V509462 = V556634. assign V497583 = V661470. assign V537044 = V956510 - 1. assign V543481 = V806835. assign V661470 = V938842. assign V181836 = V628398 + 1. assign V189145 = V590259 - 1. assign V499356 = V315177 - 1. assign V991692 = V108975 - 1. assign V987047 = V185224. assign V884435 = V628398 - 1. assign V640391 = V816322 - 1. assign V328632 = V735809 - 1. assign V286648 = V836805 + 1. assign V250327 = V566084. assign V938842 = V306724 + 1. assign V049593 = V499356. assign V980940 = V956510 - 1. assign V694752 = V383783 - 1. assign V787701 = V522806 + 1. assign V546310 = V499356. assign V174854 = V295555 - 1. assign V942090 = V901166 - 1. assign V397570 = V999014. assign V539488 = V278620 + 1. assign V741055 = V397570 - 1. assign V684016 = V980940. assign V311205 = V917732 + 1. assign V108975 = V543481 - 1. assign V307182 = V616029 - 1. assign V592377 = V537044. assign V789068 = V178189. assign V956510 = V661470 + 1. assign V452278 = V741055 - 1. assign V138097 = V898172. assign V616029 = V697007. assign V844348 = V985039. assign V446869 = V135127 + 1. assign V239511 = V421216. assign V901222 = V957950 - 1. assign V416152 = V904819 + 1. assign V598175 = V364489. assign V754549 = V075565. assign V230469 = V991692 - 1. assign V123013 = V250327. assign V436033 = V754549 - 1. assign V315177 = V556634 + 1. assign V912824 = V383783 + 1. assign V901166 = V938842 + 1. assign V170070 = V640391. assign V628398 = V590259. assign V893657 = V062562 - 1. assign V975568 = V618992 + 1. assign V358341 = V694752 - 1. assign V218698 = V694752 + 1. assign V756109 = V694752. assign V691927 = V341152. assign V509822 = V789068 + 1. assign V917732 = V975568 + 1. assign V711716 = V957950. assign V174701 = 10. assign V036396 = V694752 - 1. assign V383738 = V545392 - 1. assign V278620 = V533440 + 1. assign V042082 = V170070 - 1. assign V072423 = V108975 + 1. assign V975711 = V556634 + 1. assign V765677 = V756109. assign V354433 = V282983. assign V605266 = V315177 - 1. assign V056756 = V954350. assign V985039 = V306724. assign V100031 = V684538 - 1. assign V957950 = V661518 + 1. assign V999224 = V436033. assign V684538 = V203159 + 1. assign V388788 = V832592 - 1. assign V935645 = V354433 + 1. assign V542146 = V543481 + 1. assign V897692 = V019500.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV174701 = 10;\n\nFrom these direct assignment(s), we have: \nV785355 = V174701 - 1 = 10 - 1 =9;\nNo other variables can be derived from V785355;\nNo other variables can be derived from V174701;\n\nNow we have done all the calculations. Derived variables are:\nV174701 = 10;\nV785355 = 9;\n\nNow we have finished this problem. ANSWER:\nV785355\n", "role": "assistant" } ]

[ "V660398" ]

[ { "content": "<context>\nassign V655200 = V447127 - 1. assign V660398 = V890688 + 1. assign V569779 = V861383. assign V787022 = V570861 - 1. assign V564055 = V358500. assign V183518 = V550548. assign V628847 = V521070 + 1. assign V677404 = V079708 + 1. assign V514871 = V375225 - 1. assign V481420 = V447127. assign V965693 = V499697 - 1. assign V529991 = V455755 + 1. assign V062454 = V550548 - 1. assign V325037 = V954123 + 1. assign V359558 = V846109 + 1. assign V237572 = V717058 - 1. assign V214172 = V231918. assign V579706 = V576187 - 1. assign V275560 = V144008. assign V874557 = V221326. assign V717058 = V546110. assign V054405 = V029588. assign V280305 = V596075. assign V157586 = V231918 - 1. assign V564318 = V416670 + 1. assign V852061 = V054405 - 1. assign V411447 = V062454. assign V934599 = V447127 + 1. assign V954770 = V341711 + 1. assign V082707 = V546110 + 1. assign V435404 = V144008. assign V890688 = 3. assign V383434 = V303569 - 1. assign V303569 = V569165 - 1. assign V656445 = V227054 - 1. assign V031292 = V529991. assign V408278 = V576187. assign V709636 = V966537 + 1. assign V410534 = V447127 + 1. assign V608373 = V846109 - 1. assign V026123 = V375225. assign V257589 = V514515. assign V068258 = V447127 + 1. assign V971265 = V183518 - 1. assign V608933 = V357592 - 1. assign V144008 = V934599. assign V899636 = V588864. assign V969742 = V410534. assign V550548 = V082707 + 1. assign V946332 = V224944 - 1. assign V216340 = V260708 - 1. assign V576187 = V655200 + 1. assign V445639 = V216340 - 1. assign V375225 = V739060 + 1. assign V244038 = V131291 + 1. assign V170142 = V342642. assign V596075 = V790289 - 1. assign V588864 = V569165 - 1. assign V341711 = V383434 - 1. assign V429650 = V086255 + 1. assign V492240 = V361006 - 1. assign V321536 = V954123 + 1. assign V227054 = V499697 - 1. assign V029115 = V739572. assign V667625 = V649636 - 1. assign V722149 = V546110. assign V861171 = V910822 - 1. assign V906737 = V649636 + 1. assign V885635 = V280305. assign V424038 = V416670 - 1. assign V163704 = V757658 - 1. assign V145156 = V564318 + 1. assign V200382 = V588864. assign V323473 = V596205. assign V338003 = V934599 - 1. assign V129778 = V435404 + 1. assign V205150 = V861383 + 1. assign V057889 = V568682 + 1. assign V966537 = V082707. assign V649636 = V082707. assign V044721 = V131291 - 1. assign V987665 = V969742 - 1. assign V065847 = V029588 + 1. assign V790289 = V987665 + 1. assign V191906 = V546110 - 1. assign V954123 = V361006 - 1. assign V357592 = V383434 - 1. assign V664822 = V546110 - 1. assign V752514 = V569165 + 1. assign V096585 = V091084. assign V336568 = V410534. assign V265175 = V082707 - 1. assign V361006 = V079708 - 1. assign V893014 = V969742. assign V916965 = V899636 - 1. assign V231918 = V257589. assign V616589 = V455755 + 1. assign V389284 = V183518 - 1. assign V086255 = V183518 - 1. assign V887708 = V411447 - 1. assign V900026 = V942279. assign V727128 = V082707. assign V739572 = V727128 + 1. assign V504167 = V667625 - 1. assign V730954 = V275560 - 1. assign V310995 = V576187. assign V155583 = V068258 - 1. assign V253479 = V237572 + 1. assign V028790 = V429650 + 1. assign V079708 = V934599. assign V221326 = V162656. assign V687128 = V144008 + 1. assign V343544 = V521070 - 1. assign V812637 = V383434 - 1. assign V664650 = V265175 + 1. assign V551669 = V954123 - 1. assign V368882 = V341711 + 1. assign V131291 = V361006 + 1. assign V904254 = V523877 + 1. assign V504652 = V899636 - 1. assign V797351 = V144008 + 1. assign V838614 = V942279 - 1. assign V730482 = V521070 - 1. assign V288658 = V563798 + 1. assign V885188 = V954770. assign V514515 = V521070 - 1. assign V546110 = V570861 + 1. assign V080203 = V954770 - 1. assign V523877 = V570861 + 1. assign V384480 = V649636 - 1. assign V846109 = V435404 - 1. assign V861383 = V368882. assign V933485 = V062454. assign V064573 = V987665 - 1. assign V335791 = V275560 + 1. assign V938342 = V551669. assign V563798 = V596075 + 1. assign V499697 = V934599. assign V602905 = V341711. assign V521070 = V791985 + 1. assign V538541 = V499697 + 1. assign V791985 = V499697 - 1. assign V224944 = V602905 - 1. assign V596205 = V224944 - 1. assign V416670 = V649636 - 1. assign V502399 = V667625 - 1. assign V757658 = V739060 - 1. assign V571093 = V131291. assign V570861 = V655200 - 1. assign V447127 = V569165 + 1. assign V279332 = V325037 + 1. assign V060063 = V062454 + 1. assign V258886 = V579706. assign V579120 = V341711. assign V739060 = V730482. assign V663138 = V416670 - 1. assign V091084 = V342642 + 1. assign V358500 = V163704 - 1. assign V568682 = V183518 - 1. assign V169295 = V435404 - 1. assign V942279 = V521070. assign V019569 = V191906 + 1. assign V706116 = V649636 + 1. assign V910822 = V163704 + 1. assign V260708 = V383434. assign V646919 = V504167 + 1. assign V029588 = V722149. assign V643738 = V727128 + 1. assign V455755 = V341711. assign V162656 = V383434 - 1. assign V342642 = V514515 - 1. assign V014826 = V664650 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V655200 = V447127 - 1. assign V660398 = V890688 + 1. assign V569779 = V861383. assign V787022 = V570861 - 1. assign V564055 = V358500. assign V183518 = V550548. assign V628847 = V521070 + 1. assign V677404 = V079708 + 1. assign V514871 = V375225 - 1. assign V481420 = V447127. assign V965693 = V499697 - 1. assign V529991 = V455755 + 1. assign V062454 = V550548 - 1. assign V325037 = V954123 + 1. assign V359558 = V846109 + 1. assign V237572 = V717058 - 1. assign V214172 = V231918. assign V579706 = V576187 - 1. assign V275560 = V144008. assign V874557 = V221326. assign V717058 = V546110. assign V054405 = V029588. assign V280305 = V596075. assign V157586 = V231918 - 1. assign V564318 = V416670 + 1. assign V852061 = V054405 - 1. assign V411447 = V062454. assign V934599 = V447127 + 1. assign V954770 = V341711 + 1. assign V082707 = V546110 + 1. assign V435404 = V144008. assign V890688 = 3. assign V383434 = V303569 - 1. assign V303569 = V569165 - 1. assign V656445 = V227054 - 1. assign V031292 = V529991. assign V408278 = V576187. assign V709636 = V966537 + 1. assign V410534 = V447127 + 1. assign V608373 = V846109 - 1. assign V026123 = V375225. assign V257589 = V514515. assign V068258 = V447127 + 1. assign V971265 = V183518 - 1. assign V608933 = V357592 - 1. assign V144008 = V934599. assign V899636 = V588864. assign V969742 = V410534. assign V550548 = V082707 + 1. assign V946332 = V224944 - 1. assign V216340 = V260708 - 1. assign V576187 = V655200 + 1. assign V445639 = V216340 - 1. assign V375225 = V739060 + 1. assign V244038 = V131291 + 1. assign V170142 = V342642. assign V596075 = V790289 - 1. assign V588864 = V569165 - 1. assign V341711 = V383434 - 1. assign V429650 = V086255 + 1. assign V492240 = V361006 - 1. assign V321536 = V954123 + 1. assign V227054 = V499697 - 1. assign V029115 = V739572. assign V667625 = V649636 - 1. assign V722149 = V546110. assign V861171 = V910822 - 1. assign V906737 = V649636 + 1. assign V885635 = V280305. assign V424038 = V416670 - 1. assign V163704 = V757658 - 1. assign V145156 = V564318 + 1. assign V200382 = V588864. assign V323473 = V596205. assign V338003 = V934599 - 1. assign V129778 = V435404 + 1. assign V205150 = V861383 + 1. assign V057889 = V568682 + 1. assign V966537 = V082707. assign V649636 = V082707. assign V044721 = V131291 - 1. assign V987665 = V969742 - 1. assign V065847 = V029588 + 1. assign V790289 = V987665 + 1. assign V191906 = V546110 - 1. assign V954123 = V361006 - 1. assign V357592 = V383434 - 1. assign V664822 = V546110 - 1. assign V752514 = V569165 + 1. assign V096585 = V091084. assign V336568 = V410534. assign V265175 = V082707 - 1. assign V361006 = V079708 - 1. assign V893014 = V969742. assign V916965 = V899636 - 1. assign V231918 = V257589. assign V616589 = V455755 + 1. assign V389284 = V183518 - 1. assign V086255 = V183518 - 1. assign V887708 = V411447 - 1. assign V900026 = V942279. assign V727128 = V082707. assign V739572 = V727128 + 1. assign V504167 = V667625 - 1. assign V730954 = V275560 - 1. assign V310995 = V576187. assign V155583 = V068258 - 1. assign V253479 = V237572 + 1. assign V028790 = V429650 + 1. assign V079708 = V934599. assign V221326 = V162656. assign V687128 = V144008 + 1. assign V343544 = V521070 - 1. assign V812637 = V383434 - 1. assign V664650 = V265175 + 1. assign V551669 = V954123 - 1. assign V368882 = V341711 + 1. assign V131291 = V361006 + 1. assign V904254 = V523877 + 1. assign V504652 = V899636 - 1. assign V797351 = V144008 + 1. assign V838614 = V942279 - 1. assign V730482 = V521070 - 1. assign V288658 = V563798 + 1. assign V885188 = V954770. assign V514515 = V521070 - 1. assign V546110 = V570861 + 1. assign V080203 = V954770 - 1. assign V523877 = V570861 + 1. assign V384480 = V649636 - 1. assign V846109 = V435404 - 1. assign V861383 = V368882. assign V933485 = V062454. assign V064573 = V987665 - 1. assign V335791 = V275560 + 1. assign V938342 = V551669. assign V563798 = V596075 + 1. assign V499697 = V934599. assign V602905 = V341711. assign V521070 = V791985 + 1. assign V538541 = V499697 + 1. assign V791985 = V499697 - 1. assign V224944 = V602905 - 1. assign V596205 = V224944 - 1. assign V416670 = V649636 - 1. assign V502399 = V667625 - 1. assign V757658 = V739060 - 1. assign V571093 = V131291. assign V570861 = V655200 - 1. assign V447127 = V569165 + 1. assign V279332 = V325037 + 1. assign V060063 = V062454 + 1. assign V258886 = V579706. assign V579120 = V341711. assign V739060 = V730482. assign V663138 = V416670 - 1. assign V091084 = V342642 + 1. assign V358500 = V163704 - 1. assign V568682 = V183518 - 1. assign V169295 = V435404 - 1. assign V942279 = V521070. assign V019569 = V191906 + 1. assign V706116 = V649636 + 1. assign V910822 = V163704 + 1. assign V260708 = V383434. assign V646919 = V504167 + 1. assign V029588 = V722149. assign V643738 = V727128 + 1. assign V455755 = V341711. assign V162656 = V383434 - 1. assign V342642 = V514515 - 1. assign V014826 = V664650 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV890688 = 3;\n\nFrom these direct assignment(s), we have: \nV660398 = V890688 + 1 = 3 + 1 =4;\nNo other variables can be derived from V660398;\nNo other variables can be derived from V890688;\n\nNow we have done all the calculations. Derived variables are:\nV890688 = 3;\nV660398 = 4;\n\nNow we have finished this problem. ANSWER:\nV660398\n", "role": "assistant" } ]

[ "V725262", "V986228" ]

[ { "content": "<context>\nassign V878613 = V526512 + 1. assign V412914 = V901825 - 1. assign V698822 = V488617. assign V746007 = V168319 + 1. assign V328048 = V488617 + 1. assign V990325 = V861805. assign V670322 = V699690 + 1. assign V705767 = V094894 - 1. assign V734944 = V011176 - 1. assign V863510 = V526512 - 1. assign V560768 = V488617 + 1. assign V328543 = V116079 - 1. assign V289038 = V662256 - 1. assign V492734 = V861805. assign V767034 = V462972 + 1. assign V671731 = V988384. assign V802952 = V121907 - 1. assign V989967 = V168319 - 1. assign V752066 = V177638. assign V168319 = V499950 + 1. assign V891762 = V492734 - 1. assign V504958 = V102085 - 1. assign V352364 = V102085 + 1. assign V673890 = V328048 + 1. assign V969321 = V061891 + 1. assign V116079 = V178295 + 1. assign V196018 = V177638 + 1. assign V539000 = V351813 - 1. assign V905843 = V662256. assign V736291 = V080914 + 1. assign V800964 = V234673 - 1. assign V139806 = V300237 - 1. assign V491541 = V560768. assign V758500 = V299938 - 1. assign V178295 = V919090 + 1. assign V299938 = V270131. assign V517731 = V867811 - 1. assign V423959 = V969321 + 1. assign V924223 = V478034. assign V182980 = V423959 - 1. assign V801317 = V687641 + 1. assign V108325 = V734944 - 1. assign V356514 = V990325 - 1. assign V499950 = V988384 + 1. assign V759754 = V356514. assign V582654 = V698822 - 1. assign V716167 = V896245. assign V347717 = V462972. assign V901825 = V126473 - 1. assign V708009 = V752066 - 1. assign V666923 = V217291. assign V701482 = V711806. assign V972123 = V540855 + 1. assign V181065 = V270315 + 1. assign V170799 = V641798 - 1. assign V986228 = V725262. assign V639725 = V267700 + 1. assign V342177 = V462972. assign V011176 = V121907. assign V061891 = V349176 + 1. assign V687641 = V181065 + 1. assign V217291 = V478034 - 1. assign V045557 = V436701. assign V902369 = V894443. assign V550891 = V699690 + 1. assign V894443 = V102085 + 1. assign V488617 = V349176 - 1. assign V725262 = 4. assign V919061 = V988384. assign V408441 = V234673. assign V867811 = V734944 + 1. assign V986535 = V461785. assign V494392 = V181065. assign V665826 = V492734. assign V539963 = V182980 + 1. assign V365181 = V492734 - 1. assign V300237 = V716167 + 1. assign V154717 = V699690 - 1. assign V015379 = V687425 - 1. assign V991648 = V423959 + 1. assign V513648 = V217143 + 1. assign V632025 = V687425. assign V234905 = V671731 - 1. assign V540855 = V436701 + 1. assign V616914 = V877479 + 1. assign V810936 = V061891 + 1. assign V435777 = V901825 - 1. assign V000033 = V385663 + 1. assign V268376 = V385663. assign V770959 = V759754. assign V699690 = V196018 - 1. assign V806884 = V270315 + 1. assign V335740 = V177638 + 1. assign V526512 = V752066. assign V285051 = V579803. assign V781731 = V011176 - 1. assign V102085 = V080914. assign V020376 = V972123. assign V596328 = V877479. assign V410092 = V094894 - 1. assign V385663 = V806884. assign V896245 = V335740 - 1. assign V478335 = V075838. assign V285587 = V687641 - 1. assign V225470 = V224595 - 1. assign V267700 = V988384 - 1. assign V937835 = V834369 - 1. assign V267824 = V181065 + 1. assign V861805 = V488617 + 1. assign V579803 = V488617 + 1. assign V830049 = V781731 + 1. assign V877479 = V990325. assign V988384 = V810936 - 1. assign V075838 = V385663. assign V813475 = V746007. assign V126473 = V356514 + 1. assign V543259 = V356514 + 1. assign V351813 = V969321. assign V833046 = V582654 + 1. assign V357218 = V687641 + 1. assign V561700 = V461785. assign V769155 = V919061 + 1. assign V834369 = V177638. assign V947668 = V328543 - 1. assign V224595 = V662256 + 1. assign V270131 = V234673 + 1. assign V031420 = V181065 + 1. assign V462972 = V990325 - 1. assign V170208 = V267700 + 1. assign V224604 = V736291 + 1. assign V783692 = V335740 + 1. assign V097867 = V894443 + 1. assign V389705 = V616914 - 1. assign V607682 = V385663 - 1. assign V234673 = V349176 + 1. assign V687425 = V671731. assign V217143 = V478034. assign V121907 = V349176. assign V144452 = V670322. assign V478034 = V687641. assign V749247 = V335740. assign V730030 = V560768. assign V229292 = V540855 + 1. assign V436701 = V919061 - 1. assign V952483 = V435777. assign V492446 = V687641 + 1. assign V638575 = V834369 + 1. assign V928717 = V641798 - 1. assign V787668 = V217143. assign V177638 = V349176 - 1. assign V556370 = V539000 - 1. assign V285361 = V990325. assign V074321 = V478034 - 1. assign V430200 = V924223 + 1. assign V804514 = V842733 + 1. assign V641798 = V990325 + 1. assign V940267 = V806884. assign V503988 = V074321 - 1. assign V803481 = V972123 - 1. assign V711806 = V196018 + 1. assign V608798 = V389705 - 1. assign V080914 = V177638 - 1. assign V581398 = V345627. assign V390706 = V504958 - 1. assign V094894 = V270315. assign V842733 = V492734 - 1. assign V662256 = V102085. assign V461785 = V834369. assign V345627 = V494392 + 1. assign V270315 = V488617 - 1. assign V919090 = V671731. assign V905098 = V526512 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V878613 = V526512 + 1. assign V412914 = V901825 - 1. assign V698822 = V488617. assign V746007 = V168319 + 1. assign V328048 = V488617 + 1. assign V990325 = V861805. assign V670322 = V699690 + 1. assign V705767 = V094894 - 1. assign V734944 = V011176 - 1. assign V863510 = V526512 - 1. assign V560768 = V488617 + 1. assign V328543 = V116079 - 1. assign V289038 = V662256 - 1. assign V492734 = V861805. assign V767034 = V462972 + 1. assign V671731 = V988384. assign V802952 = V121907 - 1. assign V989967 = V168319 - 1. assign V752066 = V177638. assign V168319 = V499950 + 1. assign V891762 = V492734 - 1. assign V504958 = V102085 - 1. assign V352364 = V102085 + 1. assign V673890 = V328048 + 1. assign V969321 = V061891 + 1. assign V116079 = V178295 + 1. assign V196018 = V177638 + 1. assign V539000 = V351813 - 1. assign V905843 = V662256. assign V736291 = V080914 + 1. assign V800964 = V234673 - 1. assign V139806 = V300237 - 1. assign V491541 = V560768. assign V758500 = V299938 - 1. assign V178295 = V919090 + 1. assign V299938 = V270131. assign V517731 = V867811 - 1. assign V423959 = V969321 + 1. assign V924223 = V478034. assign V182980 = V423959 - 1. assign V801317 = V687641 + 1. assign V108325 = V734944 - 1. assign V356514 = V990325 - 1. assign V499950 = V988384 + 1. assign V759754 = V356514. assign V582654 = V698822 - 1. assign V716167 = V896245. assign V347717 = V462972. assign V901825 = V126473 - 1. assign V708009 = V752066 - 1. assign V666923 = V217291. assign V701482 = V711806. assign V972123 = V540855 + 1. assign V181065 = V270315 + 1. assign V170799 = V641798 - 1. assign V986228 = V725262. assign V639725 = V267700 + 1. assign V342177 = V462972. assign V011176 = V121907. assign V061891 = V349176 + 1. assign V687641 = V181065 + 1. assign V217291 = V478034 - 1. assign V045557 = V436701. assign V902369 = V894443. assign V550891 = V699690 + 1. assign V894443 = V102085 + 1. assign V488617 = V349176 - 1. assign V725262 = 4. assign V919061 = V988384. assign V408441 = V234673. assign V867811 = V734944 + 1. assign V986535 = V461785. assign V494392 = V181065. assign V665826 = V492734. assign V539963 = V182980 + 1. assign V365181 = V492734 - 1. assign V300237 = V716167 + 1. assign V154717 = V699690 - 1. assign V015379 = V687425 - 1. assign V991648 = V423959 + 1. assign V513648 = V217143 + 1. assign V632025 = V687425. assign V234905 = V671731 - 1. assign V540855 = V436701 + 1. assign V616914 = V877479 + 1. assign V810936 = V061891 + 1. assign V435777 = V901825 - 1. assign V000033 = V385663 + 1. assign V268376 = V385663. assign V770959 = V759754. assign V699690 = V196018 - 1. assign V806884 = V270315 + 1. assign V335740 = V177638 + 1. assign V526512 = V752066. assign V285051 = V579803. assign V781731 = V011176 - 1. assign V102085 = V080914. assign V020376 = V972123. assign V596328 = V877479. assign V410092 = V094894 - 1. assign V385663 = V806884. assign V896245 = V335740 - 1. assign V478335 = V075838. assign V285587 = V687641 - 1. assign V225470 = V224595 - 1. assign V267700 = V988384 - 1. assign V937835 = V834369 - 1. assign V267824 = V181065 + 1. assign V861805 = V488617 + 1. assign V579803 = V488617 + 1. assign V830049 = V781731 + 1. assign V877479 = V990325. assign V988384 = V810936 - 1. assign V075838 = V385663. assign V813475 = V746007. assign V126473 = V356514 + 1. assign V543259 = V356514 + 1. assign V351813 = V969321. assign V833046 = V582654 + 1. assign V357218 = V687641 + 1. assign V561700 = V461785. assign V769155 = V919061 + 1. assign V834369 = V177638. assign V947668 = V328543 - 1. assign V224595 = V662256 + 1. assign V270131 = V234673 + 1. assign V031420 = V181065 + 1. assign V462972 = V990325 - 1. assign V170208 = V267700 + 1. assign V224604 = V736291 + 1. assign V783692 = V335740 + 1. assign V097867 = V894443 + 1. assign V389705 = V616914 - 1. assign V607682 = V385663 - 1. assign V234673 = V349176 + 1. assign V687425 = V671731. assign V217143 = V478034. assign V121907 = V349176. assign V144452 = V670322. assign V478034 = V687641. assign V749247 = V335740. assign V730030 = V560768. assign V229292 = V540855 + 1. assign V436701 = V919061 - 1. assign V952483 = V435777. assign V492446 = V687641 + 1. assign V638575 = V834369 + 1. assign V928717 = V641798 - 1. assign V787668 = V217143. assign V177638 = V349176 - 1. assign V556370 = V539000 - 1. assign V285361 = V990325. assign V074321 = V478034 - 1. assign V430200 = V924223 + 1. assign V804514 = V842733 + 1. assign V641798 = V990325 + 1. assign V940267 = V806884. assign V503988 = V074321 - 1. assign V803481 = V972123 - 1. assign V711806 = V196018 + 1. assign V608798 = V389705 - 1. assign V080914 = V177638 - 1. assign V581398 = V345627. assign V390706 = V504958 - 1. assign V094894 = V270315. assign V842733 = V492734 - 1. assign V662256 = V102085. assign V461785 = V834369. assign V345627 = V494392 + 1. assign V270315 = V488617 - 1. assign V919090 = V671731. assign V905098 = V526512 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV725262 = 4;\n\nFrom these direct assignment(s), we have: \nV986228 = V725262 = 4;\nNo other variables can be derived from V986228;\nNo other variables can be derived from V725262;\n\nNow we have done all the calculations. Derived variables are:\nV725262 = 4;\nV986228 = 4;\n\nNow we have finished this problem. ANSWER:\nV725262, V986228\n", "role": "assistant" } ]

[ "V823392" ]

[ { "content": "<context>\nassign V813213 = V346380. assign V196101 = V794192. assign V401796 = V322848 + 1. assign V452275 = V769904 + 1. assign V738530 = V452275 - 1. assign V837188 = V970063. assign V662001 = V250291 + 1. assign V723441 = V400009 + 1. assign V905369 = V794192 + 1. assign V108232 = V983354 + 1. assign V266147 = V452275. assign V306943 = V455395 + 1. assign V592044 = V450816. assign V095672 = V537449. assign V420894 = V905369 + 1. assign V768492 = V620744. assign V856109 = V610516 + 1. assign V763327 = V837188 - 1. assign V185305 = V997498 - 1. assign V116605 = V785341. assign V321430 = V415698 + 1. assign V294576 = V467795. assign V480443 = V116605. assign V730369 = V567707 + 1. assign V065510 = V252475 - 1. assign V375343 = V391988. assign V794834 = V716713 + 1. assign V252837 = V795012 + 1. assign V361130 = V527963 - 1. assign V970063 = V552795. assign V133742 = V683575 - 1. assign V581892 = V518031 + 1. assign V296580 = V346380 - 1. assign V023530 = V629157 - 1. assign V604051 = V970063. assign V346950 = V037905 - 1. assign V549482 = V622890 - 1. assign V252475 = V508876. assign V752887 = V079755. assign V572638 = V455395 + 1. assign V777244 = V065510 + 1. assign V299913 = V837188 + 1. assign V077787 = V135852 - 1. assign V734895 = V629157 + 1. assign V163200 = V567707 + 1. assign V686834 = V296580 + 1. assign V795012 = V252475 + 1. assign V948724 = V299055 + 1. assign V226954 = V537449 + 1. assign V603280 = V720307. assign V922950 = V730369 + 1. assign V716713 = V276219 + 1. assign V821060 = V289485 - 1. assign V626673 = V683575 + 1. assign V971652 = V400009 + 1. assign V552795 = V252475 - 1. assign V810085 = V185305 - 1. assign V539146 = V296574 - 1. assign V519618 = V065510 - 1. assign V457795 = V294576. assign V525905 = V203582. assign V250291 = V567707 - 1. assign V927645 = V306943 - 1. assign V508876 = V997498 + 1. assign V281355 = V888190 + 1. assign V484864 = V274397. assign V823392 = V094395 + 1. assign V299055 = V361535 - 1. assign V692929 = V683575 - 1. assign V008659 = V455395 + 1. assign V683575 = V536876. assign V918913 = V903715 + 1. assign V453792 = V629157. assign V242410 = V648616 - 1. assign V346380 = V296574 - 1. assign V203582 = V467795 + 1. assign V813706 = V794834 + 1. assign V191049 = V602932. assign V661747 = V604051 + 1. assign V672513 = V993937 + 1. assign V518031 = V275506. assign V094764 = V319666. assign V094395 = 4. assign V391988 = V769904 - 1. assign V150825 = V039536 + 1. assign V374150 = V525905 - 1. assign V602974 = V536876. assign V437501 = V536876 - 1. assign V136877 = V873409 - 1. assign V400009 = V567707. assign V760857 = V116605 + 1. assign V049880 = V415698. assign V830018 = V610516 + 1. assign V473391 = V457795 + 1. assign V983354 = V662001. assign V320077 = V603280. assign V012814 = V648616 + 1. assign V769344 = V837188. assign V436977 = V602932. assign V554694 = V581892. assign V757136 = V552795 - 1. assign V411403 = V334097 + 1. assign V392581 = V437501. assign V620744 = V622890. assign V426895 = V629157. assign V718717 = V922950 - 1. assign V305736 = V037905. assign V455395 = V508876. assign V916428 = V299055. assign V415698 = V888190 - 1. assign V648616 = V437501. assign V289485 = V508876 + 1. assign V829836 = V768492 - 1. assign V888190 = V813213 + 1. assign V288904 = V008659 - 1. assign V353113 = V934474 - 1. assign V919557 = V795012 - 1. assign V125297 = V361535 - 1. assign V127343 = V555631 - 1. assign V769904 = V795012 - 1. assign V276219 = V289485 - 1. assign V737112 = V738530 - 1. assign V058998 = V252837 + 1. assign V873409 = V065510 - 1. assign V993937 = V785341 - 1. assign V709366 = V467795 - 1. assign V649334 = V023530. assign V274397 = V536876 - 1. assign V334097 = V964389 + 1. assign V785341 = V322848. assign V794192 = V648616 - 1. assign V527963 = V873409 - 1. assign V322848 = V795012. assign V567707 = V455395. assign V705931 = V252837. assign V805516 = V299055 + 1. assign V455094 = V692929. assign V997498 = V536876 - 1. assign V296574 = V536876. assign V361535 = V795012 - 1. assign V684751 = V993937 + 1. assign V887583 = V252475 - 1. assign V976614 = V604051 + 1. assign V213068 = V918913 - 1. assign V964389 = V794192. assign V450816 = V603280 + 1. assign V956465 = V508876 + 1. assign V467795 = V508876 + 1. assign V152416 = V970063. assign V532806 = V971652. assign V537449 = V555631. assign V275506 = V888190 - 1. assign V629157 = V415698 + 1. assign V137372 = V094764 + 1. assign V135852 = V567707 - 1. assign V934474 = V455395. assign V903715 = V296574 - 1. assign V079755 = V730369 - 1. assign V446504 = V467795 + 1. assign V472348 = V567707 - 1. assign V228776 = V629157 - 1. assign V720307 = V919557 + 1. assign V555631 = V322848. assign V025043 = V888190. assign V602932 = V008659 + 1. assign V118922 = V346380 + 1. assign V039536 = V970063 + 1. assign V610516 = V319666 + 1. assign V037905 = V008659 + 1. assign V622890 = V185305 - 1. assign V319666 = V622890 - 1. assign V971940 = V934474.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V813213 = V346380. assign V196101 = V794192. assign V401796 = V322848 + 1. assign V452275 = V769904 + 1. assign V738530 = V452275 - 1. assign V837188 = V970063. assign V662001 = V250291 + 1. assign V723441 = V400009 + 1. assign V905369 = V794192 + 1. assign V108232 = V983354 + 1. assign V266147 = V452275. assign V306943 = V455395 + 1. assign V592044 = V450816. assign V095672 = V537449. assign V420894 = V905369 + 1. assign V768492 = V620744. assign V856109 = V610516 + 1. assign V763327 = V837188 - 1. assign V185305 = V997498 - 1. assign V116605 = V785341. assign V321430 = V415698 + 1. assign V294576 = V467795. assign V480443 = V116605. assign V730369 = V567707 + 1. assign V065510 = V252475 - 1. assign V375343 = V391988. assign V794834 = V716713 + 1. assign V252837 = V795012 + 1. assign V361130 = V527963 - 1. assign V970063 = V552795. assign V133742 = V683575 - 1. assign V581892 = V518031 + 1. assign V296580 = V346380 - 1. assign V023530 = V629157 - 1. assign V604051 = V970063. assign V346950 = V037905 - 1. assign V549482 = V622890 - 1. assign V252475 = V508876. assign V752887 = V079755. assign V572638 = V455395 + 1. assign V777244 = V065510 + 1. assign V299913 = V837188 + 1. assign V077787 = V135852 - 1. assign V734895 = V629157 + 1. assign V163200 = V567707 + 1. assign V686834 = V296580 + 1. assign V795012 = V252475 + 1. assign V948724 = V299055 + 1. assign V226954 = V537449 + 1. assign V603280 = V720307. assign V922950 = V730369 + 1. assign V716713 = V276219 + 1. assign V821060 = V289485 - 1. assign V626673 = V683575 + 1. assign V971652 = V400009 + 1. assign V552795 = V252475 - 1. assign V810085 = V185305 - 1. assign V539146 = V296574 - 1. assign V519618 = V065510 - 1. assign V457795 = V294576. assign V525905 = V203582. assign V250291 = V567707 - 1. assign V927645 = V306943 - 1. assign V508876 = V997498 + 1. assign V281355 = V888190 + 1. assign V484864 = V274397. assign V823392 = V094395 + 1. assign V299055 = V361535 - 1. assign V692929 = V683575 - 1. assign V008659 = V455395 + 1. assign V683575 = V536876. assign V918913 = V903715 + 1. assign V453792 = V629157. assign V242410 = V648616 - 1. assign V346380 = V296574 - 1. assign V203582 = V467795 + 1. assign V813706 = V794834 + 1. assign V191049 = V602932. assign V661747 = V604051 + 1. assign V672513 = V993937 + 1. assign V518031 = V275506. assign V094764 = V319666. assign V094395 = 4. assign V391988 = V769904 - 1. assign V150825 = V039536 + 1. assign V374150 = V525905 - 1. assign V602974 = V536876. assign V437501 = V536876 - 1. assign V136877 = V873409 - 1. assign V400009 = V567707. assign V760857 = V116605 + 1. assign V049880 = V415698. assign V830018 = V610516 + 1. assign V473391 = V457795 + 1. assign V983354 = V662001. assign V320077 = V603280. assign V012814 = V648616 + 1. assign V769344 = V837188. assign V436977 = V602932. assign V554694 = V581892. assign V757136 = V552795 - 1. assign V411403 = V334097 + 1. assign V392581 = V437501. assign V620744 = V622890. assign V426895 = V629157. assign V718717 = V922950 - 1. assign V305736 = V037905. assign V455395 = V508876. assign V916428 = V299055. assign V415698 = V888190 - 1. assign V648616 = V437501. assign V289485 = V508876 + 1. assign V829836 = V768492 - 1. assign V888190 = V813213 + 1. assign V288904 = V008659 - 1. assign V353113 = V934474 - 1. assign V919557 = V795012 - 1. assign V125297 = V361535 - 1. assign V127343 = V555631 - 1. assign V769904 = V795012 - 1. assign V276219 = V289485 - 1. assign V737112 = V738530 - 1. assign V058998 = V252837 + 1. assign V873409 = V065510 - 1. assign V993937 = V785341 - 1. assign V709366 = V467795 - 1. assign V649334 = V023530. assign V274397 = V536876 - 1. assign V334097 = V964389 + 1. assign V785341 = V322848. assign V794192 = V648616 - 1. assign V527963 = V873409 - 1. assign V322848 = V795012. assign V567707 = V455395. assign V705931 = V252837. assign V805516 = V299055 + 1. assign V455094 = V692929. assign V997498 = V536876 - 1. assign V296574 = V536876. assign V361535 = V795012 - 1. assign V684751 = V993937 + 1. assign V887583 = V252475 - 1. assign V976614 = V604051 + 1. assign V213068 = V918913 - 1. assign V964389 = V794192. assign V450816 = V603280 + 1. assign V956465 = V508876 + 1. assign V467795 = V508876 + 1. assign V152416 = V970063. assign V532806 = V971652. assign V537449 = V555631. assign V275506 = V888190 - 1. assign V629157 = V415698 + 1. assign V137372 = V094764 + 1. assign V135852 = V567707 - 1. assign V934474 = V455395. assign V903715 = V296574 - 1. assign V079755 = V730369 - 1. assign V446504 = V467795 + 1. assign V472348 = V567707 - 1. assign V228776 = V629157 - 1. assign V720307 = V919557 + 1. assign V555631 = V322848. assign V025043 = V888190. assign V602932 = V008659 + 1. assign V118922 = V346380 + 1. assign V039536 = V970063 + 1. assign V610516 = V319666 + 1. assign V037905 = V008659 + 1. assign V622890 = V185305 - 1. assign V319666 = V622890 - 1. assign V971940 = V934474.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV094395 = 4;\n\nFrom these direct assignment(s), we have: \nV823392 = V094395 + 1 = 4 + 1 =5;\nNo other variables can be derived from V823392;\nNo other variables can be derived from V094395;\n\nNow we have done all the calculations. Derived variables are:\nV094395 = 4;\nV823392 = 5;\n\nNow we have finished this problem. ANSWER:\nV823392\n", "role": "assistant" } ]

[ "V315352" ]

[ { "content": "<context>\nassign V730421 = V153752 - 1. assign V755096 = V612241 - 1. assign V599629 = V313565 - 1. assign V835078 = V497981 + 1. assign V862068 = V506282 + 1. assign V909337 = V360569 + 1. assign V135684 = V564598 + 1. assign V418420 = V322001 - 1. assign V245347 = V915507 - 1. assign V315568 = V679880 - 1. assign V997241 = V157369 - 1. assign V237246 = V008493 - 1. assign V009076 = V145192 + 1. assign V383172 = V037837 - 1. assign V546639 = V050640 + 1. assign V286121 = V904184 + 1. assign V908859 = V487004 - 1. assign V799690 = V360569. assign V618209 = V775127 - 1. assign V374434 = V876888 - 1. assign V855141 = V915507. assign V589859 = V064480. assign V523998 = V566606 - 1. assign V590602 = V522345 - 1. assign V741826 = V283250 + 1. assign V215238 = V862068 - 1. assign V522345 = V016635 - 1. assign V193585 = V079675 + 1. assign V252351 = V368256 - 1. assign V861813 = V157369 + 1. assign V452305 = V497981 + 1. assign V215689 = V855141 + 1. assign V691717 = V741826 - 1. assign V322001 = V283377. assign V490572 = V486422 + 1. assign V176264 = V215238. assign V959251 = V782972 + 1. assign V313565 = V661108 - 1. assign V364748 = V322001 + 1. assign V079675 = V360569 + 1. assign V016635 = V714078 - 1. assign V306007 = V782972 + 1. assign V746374 = V075713 - 1. assign V945031 = V360569 + 1. assign V037837 = V871501 - 1. assign V660294 = V440692 - 1. assign V850954 = V566606 + 1. assign V650306 = V037837 - 1. assign V156599 = V871501 - 1. assign V746081 = V312770 - 1. assign V315352 = 1. assign V988079 = V103397 - 1. assign V807945 = V543105 + 1. assign V485296 = V008493 + 1. assign V368256 = V506282 + 1. assign V805216 = V231222. assign V796728 = V746081 - 1. assign V139974 = V564598. assign V770427 = V691717 - 1. assign V764158 = V578297 - 1. assign V890202 = V103397. assign V427442 = V297324. assign V008493 = V523998 - 1. assign V775127 = V298775 + 1. assign V818658 = V890202 - 1. assign V007551 = V894301. assign V679880 = V020098. assign V153752 = V303448. assign V661108 = V488435 - 1. assign V259688 = V176264 + 1. assign V323647 = V856293. assign V871501 = V566606. assign V069578 = V488690. assign V489454 = V795385 - 1. assign V800491 = V645675 + 1. assign V099121 = V473159. assign V146200 = V311598. assign V488690 = V704205 - 1. assign V223083 = V661108 + 1. assign V809328 = V283250 - 1. assign V071800 = V915507 + 1. assign V263513 = V157369. assign V020098 = V706724. assign V297324 = V497981 + 1. assign V231222 = V807945 + 1. assign V876888 = V909337 + 1. assign V145192 = V328462 - 1. assign V256354 = V064480. assign V647952 = V746081. assign V122451 = V909337 + 1. assign V497981 = V303448. assign V050640 = V714078. assign V578297 = V647952. assign V704205 = V298775 - 1. assign V283250 = V704205 - 1. assign V303448 = V157369. assign V050822 = V145192 + 1. assign V311598 = V661108. assign V312770 = V861813 + 1. assign V691947 = V486422 + 1. assign V973689 = V368256. assign V192695 = V706724. assign V730310 = V383172. assign V894301 = V775127 + 1. assign V650363 = V546639. assign V135155 = V792064 + 1. assign V619841 = V297324. assign V195685 = V087296 + 1. assign V486422 = V341626 - 1. assign V473159 = V871501 + 1. assign V212886 = V103397. assign V564598 = V008493 - 1. assign V360569 = V566606 + 1. assign V402277 = V876888 + 1. assign V992403 = V245347 + 1. assign V862356 = V650363. assign V605694 = V360569 - 1. assign V782972 = V176264 - 1. assign V440692 = V497981. assign V604781 = V795385 - 1. assign V932677 = V831875 + 1. assign V543105 = V488435 + 1. assign V488435 = V008493 - 1. assign V904184 = V486422. assign V298775 = V103397. assign V792064 = V303448 - 1. assign V645675 = V604781 + 1. assign V273741 = V725191 - 1. assign V157369 = V604781. assign V831793 = V706724 + 1. assign V328462 = V156599 + 1. assign V818225 = V770427 + 1. assign V819827 = V487004. assign V814517 = V714078 - 1. assign V273747 = V661108 - 1. assign V727382 = V079675 - 1. assign V283377 = V604781 - 1. assign V450461 = V323647. assign V506282 = V746081. assign V978252 = V805216. assign V915507 = V157369. assign V289607 = V679880 + 1. assign V075713 = V298775 + 1. assign V064480 = V506282. assign V087296 = V037837 - 1. assign V057647 = V755096 - 1. assign V637127 = V064480 + 1. assign V814621 = V714078. assign V103397 = V861813. assign V847446 = V215238 + 1. assign V714078 = V604781. assign V435176 = V079675. assign V706724 = V645675. assign V641490 = V604781. assign V189960 = V237246. assign V010016 = V706724 - 1. assign V449302 = V037837. assign V602481 = V691717. assign V694858 = V315352 + 1. assign V801191 = V037837. assign V755296 = V103397 - 1. assign V831875 = V037837. assign V341626 = V522345. assign V725191 = V604781. assign V783436 = V010016 - 1. assign V487004 = V546639 + 1. assign V856293 = V368256 - 1. assign V717928 = V427442 + 1. assign V566606 = V312770 + 1. assign V496987 = V730421 - 1. assign V612241 = V306007. assign V052617 = V016635 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V730421 = V153752 - 1. assign V755096 = V612241 - 1. assign V599629 = V313565 - 1. assign V835078 = V497981 + 1. assign V862068 = V506282 + 1. assign V909337 = V360569 + 1. assign V135684 = V564598 + 1. assign V418420 = V322001 - 1. assign V245347 = V915507 - 1. assign V315568 = V679880 - 1. assign V997241 = V157369 - 1. assign V237246 = V008493 - 1. assign V009076 = V145192 + 1. assign V383172 = V037837 - 1. assign V546639 = V050640 + 1. assign V286121 = V904184 + 1. assign V908859 = V487004 - 1. assign V799690 = V360569. assign V618209 = V775127 - 1. assign V374434 = V876888 - 1. assign V855141 = V915507. assign V589859 = V064480. assign V523998 = V566606 - 1. assign V590602 = V522345 - 1. assign V741826 = V283250 + 1. assign V215238 = V862068 - 1. assign V522345 = V016635 - 1. assign V193585 = V079675 + 1. assign V252351 = V368256 - 1. assign V861813 = V157369 + 1. assign V452305 = V497981 + 1. assign V215689 = V855141 + 1. assign V691717 = V741826 - 1. assign V322001 = V283377. assign V490572 = V486422 + 1. assign V176264 = V215238. assign V959251 = V782972 + 1. assign V313565 = V661108 - 1. assign V364748 = V322001 + 1. assign V079675 = V360569 + 1. assign V016635 = V714078 - 1. assign V306007 = V782972 + 1. assign V746374 = V075713 - 1. assign V945031 = V360569 + 1. assign V037837 = V871501 - 1. assign V660294 = V440692 - 1. assign V850954 = V566606 + 1. assign V650306 = V037837 - 1. assign V156599 = V871501 - 1. assign V746081 = V312770 - 1. assign V315352 = 1. assign V988079 = V103397 - 1. assign V807945 = V543105 + 1. assign V485296 = V008493 + 1. assign V368256 = V506282 + 1. assign V805216 = V231222. assign V796728 = V746081 - 1. assign V139974 = V564598. assign V770427 = V691717 - 1. assign V764158 = V578297 - 1. assign V890202 = V103397. assign V427442 = V297324. assign V008493 = V523998 - 1. assign V775127 = V298775 + 1. assign V818658 = V890202 - 1. assign V007551 = V894301. assign V679880 = V020098. assign V153752 = V303448. assign V661108 = V488435 - 1. assign V259688 = V176264 + 1. assign V323647 = V856293. assign V871501 = V566606. assign V069578 = V488690. assign V489454 = V795385 - 1. assign V800491 = V645675 + 1. assign V099121 = V473159. assign V146200 = V311598. assign V488690 = V704205 - 1. assign V223083 = V661108 + 1. assign V809328 = V283250 - 1. assign V071800 = V915507 + 1. assign V263513 = V157369. assign V020098 = V706724. assign V297324 = V497981 + 1. assign V231222 = V807945 + 1. assign V876888 = V909337 + 1. assign V145192 = V328462 - 1. assign V256354 = V064480. assign V647952 = V746081. assign V122451 = V909337 + 1. assign V497981 = V303448. assign V050640 = V714078. assign V578297 = V647952. assign V704205 = V298775 - 1. assign V283250 = V704205 - 1. assign V303448 = V157369. assign V050822 = V145192 + 1. assign V311598 = V661108. assign V312770 = V861813 + 1. assign V691947 = V486422 + 1. assign V973689 = V368256. assign V192695 = V706724. assign V730310 = V383172. assign V894301 = V775127 + 1. assign V650363 = V546639. assign V135155 = V792064 + 1. assign V619841 = V297324. assign V195685 = V087296 + 1. assign V486422 = V341626 - 1. assign V473159 = V871501 + 1. assign V212886 = V103397. assign V564598 = V008493 - 1. assign V360569 = V566606 + 1. assign V402277 = V876888 + 1. assign V992403 = V245347 + 1. assign V862356 = V650363. assign V605694 = V360569 - 1. assign V782972 = V176264 - 1. assign V440692 = V497981. assign V604781 = V795385 - 1. assign V932677 = V831875 + 1. assign V543105 = V488435 + 1. assign V488435 = V008493 - 1. assign V904184 = V486422. assign V298775 = V103397. assign V792064 = V303448 - 1. assign V645675 = V604781 + 1. assign V273741 = V725191 - 1. assign V157369 = V604781. assign V831793 = V706724 + 1. assign V328462 = V156599 + 1. assign V818225 = V770427 + 1. assign V819827 = V487004. assign V814517 = V714078 - 1. assign V273747 = V661108 - 1. assign V727382 = V079675 - 1. assign V283377 = V604781 - 1. assign V450461 = V323647. assign V506282 = V746081. assign V978252 = V805216. assign V915507 = V157369. assign V289607 = V679880 + 1. assign V075713 = V298775 + 1. assign V064480 = V506282. assign V087296 = V037837 - 1. assign V057647 = V755096 - 1. assign V637127 = V064480 + 1. assign V814621 = V714078. assign V103397 = V861813. assign V847446 = V215238 + 1. assign V714078 = V604781. assign V435176 = V079675. assign V706724 = V645675. assign V641490 = V604781. assign V189960 = V237246. assign V010016 = V706724 - 1. assign V449302 = V037837. assign V602481 = V691717. assign V694858 = V315352 + 1. assign V801191 = V037837. assign V755296 = V103397 - 1. assign V831875 = V037837. assign V341626 = V522345. assign V725191 = V604781. assign V783436 = V010016 - 1. assign V487004 = V546639 + 1. assign V856293 = V368256 - 1. assign V717928 = V427442 + 1. assign V566606 = V312770 + 1. assign V496987 = V730421 - 1. assign V612241 = V306007. assign V052617 = V016635 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV315352 = 1;\n\nFrom these direct assignment(s), we have: \nV694858 = V315352 + 1 = 1 + 1 =2;\nNo other variables can be derived from V694858;\nNo other variables can be derived from V315352;\n\nNow we have done all the calculations. Derived variables are:\nV315352 = 1;\nV694858 = 2;\n\nNow we have finished this problem. ANSWER:\nV315352\n", "role": "assistant" } ]

[ "V066407", "V529582" ]

[ { "content": "<context>\nassign V771503 = V155424 - 1. assign V700392 = V233764 - 1. assign V259577 = V175569 - 1. assign V592361 = V134361 + 1. assign V543067 = V379279 - 1. assign V514066 = V379279 + 1. assign V680471 = V381579. assign V593331 = V700392 - 1. assign V694432 = V602075. assign V576921 = V526584 + 1. assign V066407 = 8. assign V521786 = V433966 - 1. assign V918465 = V226364 + 1. assign V791947 = V918465. assign V484186 = V960681 - 1. assign V752934 = V486396 + 1. assign V954601 = V521177 + 1. assign V054470 = V502300. assign V248026 = V786302. assign V340461 = V094680 + 1. assign V197444 = V162833 + 1. assign V162833 = V255056 + 1. assign V295909 = V960681 - 1. assign V949642 = V240276 - 1. assign V349474 = V659569 + 1. assign V138029 = V887773 + 1. assign V899994 = V155229. assign V226761 = V631958 + 1. assign V977595 = V088664. assign V413604 = V932952 + 1. assign V486396 = V428737 + 1. assign V379279 = V396738 + 1. assign V070684 = V767887 - 1. assign V820146 = V805510 + 1. assign V113963 = V396738 + 1. assign V286790 = V041362 - 1. assign V041362 = V381579 - 1. assign V184551 = V752934. assign V853952 = V119361 + 1. assign V381579 = V700392 + 1. assign V372426 = V710000. assign V240276 = V094680 + 1. assign V166316 = V119361 + 1. assign V238165 = V777025 - 1. assign V153200 = V692727 - 1. assign V736583 = V954601 + 1. assign V888488 = V596979 + 1. assign V088664 = V306642 - 1. assign V972190 = V786302. assign V426706 = V608369. assign V394440 = V166316 + 1. assign V265064 = V526584 - 1. assign V267604 = V628312 + 1. assign V344543 = V685918 + 1. assign V009816 = V138029 - 1. assign V217185 = V175569 + 1. assign V155229 = V233764 + 1. assign V285167 = V626151 + 1. assign V458776 = V608369 + 1. assign V804900 = V933811. assign V066980 = V134361 + 1. assign V119361 = V255056 + 1. assign V710000 = V041362 - 1. assign V793931 = V380089 + 1. assign V678370 = V041362 - 1. assign V887773 = V306642 - 1. assign V608369 = V883025 + 1. assign V174306 = V226364 - 1. assign V155424 = V778646. assign V626151 = V110219. assign V462282 = V379279 - 1. assign V296972 = V432402. assign V467238 = V680471 - 1. assign V932952 = V136253. assign V233785 = V596979. assign V596979 = V608369. assign V481198 = V166316 + 1. assign V685918 = V306642 - 1. assign V459959 = V233764 - 1. assign V015505 = V608369. assign V810800 = V215926. assign V742981 = V680471. assign V132603 = V897376 + 1. assign V113300 = V887773. assign V816703 = V977595. assign V432402 = V080582 + 1. assign V742813 = V381579 + 1. assign V325161 = V138029. assign V480161 = V166316 - 1. assign V458079 = V267604 + 1. assign V987112 = V217185. assign V255056 = V306642 + 1. assign V380089 = V166316. assign V244621 = V233785. assign V022253 = V217185 + 1. assign V240690 = V240276 - 1. assign V883025 = V119361 - 1. assign V855086 = V285167 + 1. assign V429728 = V396738 - 1. assign V526584 = V407789. assign V215926 = V361572. assign V076372 = V887773 - 1. assign V226364 = V933811. assign V587520 = V767887 + 1. assign V594698 = V155424. assign V049272 = V396738. assign V486296 = V217185 - 1. assign V692727 = V166316. assign V651089 = V226364 - 1. assign V011014 = V070684 - 1. assign V390367 = V771503 - 1. assign V767887 = V306642 - 1. assign V316135 = V226761 + 1. assign V223948 = V259577 - 1. assign V659569 = V778646 - 1. assign V094680 = V119361 - 1. assign V150484 = V226761. assign V694265 = V694432. assign V891549 = V226364. assign V289265 = V883025 - 1. assign V631958 = V226364 - 1. assign V796680 = V628312. assign V289794 = V226761 - 1. assign V778646 = V119361. assign V134361 = V080582. assign V543130 = V796680. assign V746521 = V521177 + 1. assign V080582 = V933811 + 1. assign V378909 = V897376 + 1. assign V449661 = V521177 - 1. assign V361572 = V175569. assign V893174 = V384550 - 1. assign V529582 = V066407. assign V208639 = V407789 - 1. assign V384550 = V887773 + 1. assign V233764 = V255056. assign V584136 = V223948. assign V321523 = V710000 + 1. assign V379688 = V433966 + 1. assign V933811 = V233764 + 1. assign V288767 = V233785. assign V410730 = V594698. assign V897376 = V289794 - 1. assign V388809 = V226364 - 1. assign V960681 = V119361. assign V805510 = V767887 - 1. assign V521177 = V602075. assign V786302 = V778646. assign V175569 = V767887 + 1. assign V428737 = V593331 - 1. assign V777025 = V119361 + 1. assign V554144 = V289794 + 1. assign V502300 = V306642 + 1. assign V716340 = V554144 - 1. assign V453383 = V162833 + 1. assign V407789 = V381579. assign V914641 = V543067 + 1. assign V593083 = V248026 + 1. assign V294583 = V394440 + 1. assign V848906 = V796680 - 1. assign V004830 = V286790 + 1. assign V185698 = V175569. assign V396738 = V174306 - 1. assign V628312 = V804900 - 1. assign V110219 = V306642 + 1. assign V602075 = V594698 - 1. assign V435575 = V883025. assign V128922 = V153200 + 1. assign V433966 = V381579 - 1. assign V815258 = V155229 - 1. assign V350647 = V987112. assign V136253 = V080582 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V771503 = V155424 - 1. assign V700392 = V233764 - 1. assign V259577 = V175569 - 1. assign V592361 = V134361 + 1. assign V543067 = V379279 - 1. assign V514066 = V379279 + 1. assign V680471 = V381579. assign V593331 = V700392 - 1. assign V694432 = V602075. assign V576921 = V526584 + 1. assign V066407 = 8. assign V521786 = V433966 - 1. assign V918465 = V226364 + 1. assign V791947 = V918465. assign V484186 = V960681 - 1. assign V752934 = V486396 + 1. assign V954601 = V521177 + 1. assign V054470 = V502300. assign V248026 = V786302. assign V340461 = V094680 + 1. assign V197444 = V162833 + 1. assign V162833 = V255056 + 1. assign V295909 = V960681 - 1. assign V949642 = V240276 - 1. assign V349474 = V659569 + 1. assign V138029 = V887773 + 1. assign V899994 = V155229. assign V226761 = V631958 + 1. assign V977595 = V088664. assign V413604 = V932952 + 1. assign V486396 = V428737 + 1. assign V379279 = V396738 + 1. assign V070684 = V767887 - 1. assign V820146 = V805510 + 1. assign V113963 = V396738 + 1. assign V286790 = V041362 - 1. assign V041362 = V381579 - 1. assign V184551 = V752934. assign V853952 = V119361 + 1. assign V381579 = V700392 + 1. assign V372426 = V710000. assign V240276 = V094680 + 1. assign V166316 = V119361 + 1. assign V238165 = V777025 - 1. assign V153200 = V692727 - 1. assign V736583 = V954601 + 1. assign V888488 = V596979 + 1. assign V088664 = V306642 - 1. assign V972190 = V786302. assign V426706 = V608369. assign V394440 = V166316 + 1. assign V265064 = V526584 - 1. assign V267604 = V628312 + 1. assign V344543 = V685918 + 1. assign V009816 = V138029 - 1. assign V217185 = V175569 + 1. assign V155229 = V233764 + 1. assign V285167 = V626151 + 1. assign V458776 = V608369 + 1. assign V804900 = V933811. assign V066980 = V134361 + 1. assign V119361 = V255056 + 1. assign V710000 = V041362 - 1. assign V793931 = V380089 + 1. assign V678370 = V041362 - 1. assign V887773 = V306642 - 1. assign V608369 = V883025 + 1. assign V174306 = V226364 - 1. assign V155424 = V778646. assign V626151 = V110219. assign V462282 = V379279 - 1. assign V296972 = V432402. assign V467238 = V680471 - 1. assign V932952 = V136253. assign V233785 = V596979. assign V596979 = V608369. assign V481198 = V166316 + 1. assign V685918 = V306642 - 1. assign V459959 = V233764 - 1. assign V015505 = V608369. assign V810800 = V215926. assign V742981 = V680471. assign V132603 = V897376 + 1. assign V113300 = V887773. assign V816703 = V977595. assign V432402 = V080582 + 1. assign V742813 = V381579 + 1. assign V325161 = V138029. assign V480161 = V166316 - 1. assign V458079 = V267604 + 1. assign V987112 = V217185. assign V255056 = V306642 + 1. assign V380089 = V166316. assign V244621 = V233785. assign V022253 = V217185 + 1. assign V240690 = V240276 - 1. assign V883025 = V119361 - 1. assign V855086 = V285167 + 1. assign V429728 = V396738 - 1. assign V526584 = V407789. assign V215926 = V361572. assign V076372 = V887773 - 1. assign V226364 = V933811. assign V587520 = V767887 + 1. assign V594698 = V155424. assign V049272 = V396738. assign V486296 = V217185 - 1. assign V692727 = V166316. assign V651089 = V226364 - 1. assign V011014 = V070684 - 1. assign V390367 = V771503 - 1. assign V767887 = V306642 - 1. assign V316135 = V226761 + 1. assign V223948 = V259577 - 1. assign V659569 = V778646 - 1. assign V094680 = V119361 - 1. assign V150484 = V226761. assign V694265 = V694432. assign V891549 = V226364. assign V289265 = V883025 - 1. assign V631958 = V226364 - 1. assign V796680 = V628312. assign V289794 = V226761 - 1. assign V778646 = V119361. assign V134361 = V080582. assign V543130 = V796680. assign V746521 = V521177 + 1. assign V080582 = V933811 + 1. assign V378909 = V897376 + 1. assign V449661 = V521177 - 1. assign V361572 = V175569. assign V893174 = V384550 - 1. assign V529582 = V066407. assign V208639 = V407789 - 1. assign V384550 = V887773 + 1. assign V233764 = V255056. assign V584136 = V223948. assign V321523 = V710000 + 1. assign V379688 = V433966 + 1. assign V933811 = V233764 + 1. assign V288767 = V233785. assign V410730 = V594698. assign V897376 = V289794 - 1. assign V388809 = V226364 - 1. assign V960681 = V119361. assign V805510 = V767887 - 1. assign V521177 = V602075. assign V786302 = V778646. assign V175569 = V767887 + 1. assign V428737 = V593331 - 1. assign V777025 = V119361 + 1. assign V554144 = V289794 + 1. assign V502300 = V306642 + 1. assign V716340 = V554144 - 1. assign V453383 = V162833 + 1. assign V407789 = V381579. assign V914641 = V543067 + 1. assign V593083 = V248026 + 1. assign V294583 = V394440 + 1. assign V848906 = V796680 - 1. assign V004830 = V286790 + 1. assign V185698 = V175569. assign V396738 = V174306 - 1. assign V628312 = V804900 - 1. assign V110219 = V306642 + 1. assign V602075 = V594698 - 1. assign V435575 = V883025. assign V128922 = V153200 + 1. assign V433966 = V381579 - 1. assign V815258 = V155229 - 1. assign V350647 = V987112. assign V136253 = V080582 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV066407 = 8;\n\nFrom these direct assignment(s), we have: \nV529582 = V066407 = 8;\nNo other variables can be derived from V529582;\nNo other variables can be derived from V066407;\n\nNow we have done all the calculations. Derived variables are:\nV066407 = 8;\nV529582 = 8;\n\nNow we have finished this problem. ANSWER:\nV066407, V529582\n", "role": "assistant" } ]

[ "V634657" ]

[ { "content": "<context>\nassign V899433 = V641896. assign V640797 = V754404 - 1. assign V369229 = V169686 + 1. assign V319603 = V295955 + 1. assign V662582 = V816962 + 1. assign V856055 = V989050. assign V411682 = V212271 - 1. assign V989050 = V111734 + 1. assign V444239 = V111734. assign V244815 = V151703 - 1. assign V923374 = V472949. assign V827157 = V074209. assign V835928 = V627063. assign V816962 = V519526 - 1. assign V267555 = V844566 + 1. assign V761987 = V706786. assign V957180 = V242041 - 1. assign V604952 = V935556 - 1. assign V114066 = V557414 - 1. assign V430891 = V856055 - 1. assign V640713 = V973906. assign V634657 = 8. assign V170224 = V244815 + 1. assign V983242 = V980097 + 1. assign V451966 = V295955 - 1. assign V784697 = V989050 + 1. assign V706786 = V390447 + 1. assign V399414 = V844566. assign V641896 = V390447 + 1. assign V026596 = V105899. assign V025859 = V077447. assign V102902 = V565320 + 1. assign V888596 = V323730 - 1. assign V848852 = V622812 - 1. assign V531405 = V156525 + 1. assign V895915 = V369229. assign V458607 = V093126. assign V973906 = V074877. assign V968899 = V595133 + 1. assign V212271 = V093126 - 1. assign V782737 = V627063. assign V277861 = V521897. assign V683216 = V369229. assign V004131 = V369229 - 1. assign V390447 = V444239 - 1. assign V837639 = V390447. assign V151703 = V093126 + 1. assign V269180 = V815442. assign V338464 = V850181. assign V105899 = V622812 + 1. assign V529641 = V761987 + 1. assign V423213 = V244384 - 1. assign V366092 = V835486 - 1. assign V015920 = V369229 + 1. assign V918773 = V025859 - 1. assign V423557 = V390447. assign V033133 = V706763 + 1. assign V504573 = V989050 - 1. assign V891205 = V927095. assign V773449 = V519526. assign V472949 = V754404 + 1. assign V389431 = V980097 + 1. assign V785204 = V074877 + 1. assign V976138 = V033133 - 1. assign V557085 = V004814 - 1. assign V510789 = V642269 + 1. assign V681885 = V365624 + 1. assign V290564 = V504573 - 1. assign V483347 = V557073 - 1. assign V093412 = V169686 - 1. assign V275333 = V968899 + 1. assign V377230 = V863476 - 1. assign V696124 = V973906 - 1. assign V919619 = V827157 - 1. assign V580109 = V573623. assign V622812 = V844566 - 1. assign V181398 = V761987 + 1. assign V418137 = V812488. assign V004814 = V472949 + 1. assign V698658 = V856055 + 1. assign V156525 = V030088 + 1. assign V585811 = V891205. assign V646480 = V432087. assign V388095 = V212271. assign V885652 = V973906 - 1. assign V726248 = V785204 + 1. assign V557414 = V959930 + 1. assign V493110 = V521897. assign V388633 = V263531. assign V469075 = V423213 - 1. assign V618153 = V759216. assign V341813 = V242041. assign V637905 = V156525. assign V812488 = V093126 - 1. assign V863476 = V430891 + 1. assign V760765 = V706786 - 1. assign V940020 = V269358 + 1. assign V489863 = V472949 + 1. assign V573623 = V528341 + 1. assign V287310 = V093126. assign V074877 = V444239. assign V369692 = V853319 + 1. assign V807686 = V662582 + 1. assign V844566 = V430891 + 1. assign V263531 = V735263 + 1. assign V519526 = V030088 - 1. assign V269358 = V390447. assign V595133 = V390447 + 1. assign V295955 = V489863 - 1. assign V505757 = V856055. assign V191824 = V959930. assign V182301 = V521897. assign V777437 = V432087 - 1. assign V807264 = V899433 - 1. assign V241621 = V706786 + 1. assign V927095 = V980097. assign V850181 = V565320. assign V011511 = V191824 - 1. assign V815442 = V423557 - 1. assign V408408 = V004814 + 1. assign V916521 = V637905 - 1. assign V959930 = V411682 + 1. assign V521897 = V191824 + 1. assign V242041 = V170224 - 1. assign V759216 = V557073. assign V853319 = V432087 - 1. assign V160105 = V735263. assign V041978 = V485669 - 1. assign V894986 = V472949 + 1. assign V170402 = V390447 + 1. assign V326504 = V390447 - 1. assign V260981 = V923374 - 1. assign V966030 = V242041 + 1. assign V077447 = V784697 + 1. assign V457371 = V093126. assign V754404 = V111734 + 1. assign V066830 = V759216. assign V686177 = V326504. assign V423880 = V242041 + 1. assign V141244 = V957180. assign V627063 = V458607. assign V672803 = V646480 - 1. assign V706763 = V989050 + 1. assign V832989 = V966030 + 1. assign V642269 = V759216 - 1. assign V981605 = V940020 + 1. assign V794704 = V102902. assign V835486 = V241621 - 1. assign V735263 = V646480. assign V169686 = V212271 - 1. assign V244384 = V390447. assign V485669 = V784697 + 1. assign V365624 = V761987 + 1. assign V093126 = V077447 + 1. assign V355352 = V170224 - 1. assign V030088 = V390447 + 1. assign V980097 = V856055. assign V916330 = V519526 + 1. assign V565320 = V637905. assign V322711 = V432087 - 1. assign V323730 = V026596. assign V637447 = V472949 - 1. assign V476691 = V388095 + 1. assign V432087 = V980097. assign V528341 = V432087 - 1. assign V124786 = V894986 - 1. assign V828568 = V241621. assign V754248 = V241621 + 1. assign V557073 = V472949 + 1. assign V209639 = V634657 + 1. assign V935556 = V111734. assign V074209 = V244384 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V899433 = V641896. assign V640797 = V754404 - 1. assign V369229 = V169686 + 1. assign V319603 = V295955 + 1. assign V662582 = V816962 + 1. assign V856055 = V989050. assign V411682 = V212271 - 1. assign V989050 = V111734 + 1. assign V444239 = V111734. assign V244815 = V151703 - 1. assign V923374 = V472949. assign V827157 = V074209. assign V835928 = V627063. assign V816962 = V519526 - 1. assign V267555 = V844566 + 1. assign V761987 = V706786. assign V957180 = V242041 - 1. assign V604952 = V935556 - 1. assign V114066 = V557414 - 1. assign V430891 = V856055 - 1. assign V640713 = V973906. assign V634657 = 8. assign V170224 = V244815 + 1. assign V983242 = V980097 + 1. assign V451966 = V295955 - 1. assign V784697 = V989050 + 1. assign V706786 = V390447 + 1. assign V399414 = V844566. assign V641896 = V390447 + 1. assign V026596 = V105899. assign V025859 = V077447. assign V102902 = V565320 + 1. assign V888596 = V323730 - 1. assign V848852 = V622812 - 1. assign V531405 = V156525 + 1. assign V895915 = V369229. assign V458607 = V093126. assign V973906 = V074877. assign V968899 = V595133 + 1. assign V212271 = V093126 - 1. assign V782737 = V627063. assign V277861 = V521897. assign V683216 = V369229. assign V004131 = V369229 - 1. assign V390447 = V444239 - 1. assign V837639 = V390447. assign V151703 = V093126 + 1. assign V269180 = V815442. assign V338464 = V850181. assign V105899 = V622812 + 1. assign V529641 = V761987 + 1. assign V423213 = V244384 - 1. assign V366092 = V835486 - 1. assign V015920 = V369229 + 1. assign V918773 = V025859 - 1. assign V423557 = V390447. assign V033133 = V706763 + 1. assign V504573 = V989050 - 1. assign V891205 = V927095. assign V773449 = V519526. assign V472949 = V754404 + 1. assign V389431 = V980097 + 1. assign V785204 = V074877 + 1. assign V976138 = V033133 - 1. assign V557085 = V004814 - 1. assign V510789 = V642269 + 1. assign V681885 = V365624 + 1. assign V290564 = V504573 - 1. assign V483347 = V557073 - 1. assign V093412 = V169686 - 1. assign V275333 = V968899 + 1. assign V377230 = V863476 - 1. assign V696124 = V973906 - 1. assign V919619 = V827157 - 1. assign V580109 = V573623. assign V622812 = V844566 - 1. assign V181398 = V761987 + 1. assign V418137 = V812488. assign V004814 = V472949 + 1. assign V698658 = V856055 + 1. assign V156525 = V030088 + 1. assign V585811 = V891205. assign V646480 = V432087. assign V388095 = V212271. assign V885652 = V973906 - 1. assign V726248 = V785204 + 1. assign V557414 = V959930 + 1. assign V493110 = V521897. assign V388633 = V263531. assign V469075 = V423213 - 1. assign V618153 = V759216. assign V341813 = V242041. assign V637905 = V156525. assign V812488 = V093126 - 1. assign V863476 = V430891 + 1. assign V760765 = V706786 - 1. assign V940020 = V269358 + 1. assign V489863 = V472949 + 1. assign V573623 = V528341 + 1. assign V287310 = V093126. assign V074877 = V444239. assign V369692 = V853319 + 1. assign V807686 = V662582 + 1. assign V844566 = V430891 + 1. assign V263531 = V735263 + 1. assign V519526 = V030088 - 1. assign V269358 = V390447. assign V595133 = V390447 + 1. assign V295955 = V489863 - 1. assign V505757 = V856055. assign V191824 = V959930. assign V182301 = V521897. assign V777437 = V432087 - 1. assign V807264 = V899433 - 1. assign V241621 = V706786 + 1. assign V927095 = V980097. assign V850181 = V565320. assign V011511 = V191824 - 1. assign V815442 = V423557 - 1. assign V408408 = V004814 + 1. assign V916521 = V637905 - 1. assign V959930 = V411682 + 1. assign V521897 = V191824 + 1. assign V242041 = V170224 - 1. assign V759216 = V557073. assign V853319 = V432087 - 1. assign V160105 = V735263. assign V041978 = V485669 - 1. assign V894986 = V472949 + 1. assign V170402 = V390447 + 1. assign V326504 = V390447 - 1. assign V260981 = V923374 - 1. assign V966030 = V242041 + 1. assign V077447 = V784697 + 1. assign V457371 = V093126. assign V754404 = V111734 + 1. assign V066830 = V759216. assign V686177 = V326504. assign V423880 = V242041 + 1. assign V141244 = V957180. assign V627063 = V458607. assign V672803 = V646480 - 1. assign V706763 = V989050 + 1. assign V832989 = V966030 + 1. assign V642269 = V759216 - 1. assign V981605 = V940020 + 1. assign V794704 = V102902. assign V835486 = V241621 - 1. assign V735263 = V646480. assign V169686 = V212271 - 1. assign V244384 = V390447. assign V485669 = V784697 + 1. assign V365624 = V761987 + 1. assign V093126 = V077447 + 1. assign V355352 = V170224 - 1. assign V030088 = V390447 + 1. assign V980097 = V856055. assign V916330 = V519526 + 1. assign V565320 = V637905. assign V322711 = V432087 - 1. assign V323730 = V026596. assign V637447 = V472949 - 1. assign V476691 = V388095 + 1. assign V432087 = V980097. assign V528341 = V432087 - 1. assign V124786 = V894986 - 1. assign V828568 = V241621. assign V754248 = V241621 + 1. assign V557073 = V472949 + 1. assign V209639 = V634657 + 1. assign V935556 = V111734. assign V074209 = V244384 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV634657 = 8;\n\nFrom these direct assignment(s), we have: \nV209639 = V634657 + 1 = 8 + 1 =9;\nNo other variables can be derived from V209639;\nNo other variables can be derived from V634657;\n\nNow we have done all the calculations. Derived variables are:\nV634657 = 8;\nV209639 = 9;\n\nNow we have finished this problem. ANSWER:\nV634657\n", "role": "assistant" } ]

[ "V140705" ]

[ { "content": "<context>\nassign V415940 = V656948 - 1. assign V884603 = V153523 + 1. assign V671040 = V529430. assign V636637 = V493563. assign V001578 = V188114 + 1. assign V053201 = V576644 - 1. assign V214557 = V661547. assign V305680 = V172871 + 1. assign V802022 = V192875 + 1. assign V697917 = V509728. assign V985535 = V269301 - 1. assign V579273 = V564474. assign V881178 = V671040. assign V268516 = 6. assign V168225 = V214557. assign V113972 = V368292. assign V661547 = V529326 + 1. assign V930396 = V442419 - 1. assign V673791 = V429063. assign V393043 = V305680 - 1. assign V279610 = V985535. assign V473162 = V586718. assign V729101 = V442419 - 1. assign V899622 = V415940 + 1. assign V843384 = V841228. assign V406684 = V899622 + 1. assign V770245 = V974233 + 1. assign V609924 = V043429. assign V429063 = V043429. assign V477441 = V661547 + 1. assign V256270 = V529326 + 1. assign V644449 = V786321 - 1. assign V105584 = V880182. assign V923128 = V888681 + 1. assign V541062 = V661547. assign V085071 = V449376. assign V023805 = V172871 - 1. assign V146888 = V850911 + 1. assign V831179 = V429063 - 1. assign V506642 = V969172. assign V856548 = V165575 - 1. assign V332763 = V429063 + 1. assign V681277 = V829922. assign V801089 = V058608 - 1. assign V212323 = V058608 + 1. assign V378269 = V113972. assign V575037 = V656948 + 1. assign V387981 = V888681. assign V260107 = V671500. assign V189784 = V699340 + 1. assign V504169 = V801089. assign V077650 = V195613. assign V453006 = V322315 - 1. assign V552262 = V729101 - 1. assign V751806 = V714512 - 1. assign V153523 = V269301 + 1. assign V412691 = V829922 + 1. assign V846124 = V332763 - 1. assign V058608 = V066826 + 1. assign V544295 = V656948 - 1. assign V779753 = V725750 - 1. assign V368292 = V656948. assign V529326 = V725750 + 1. assign V165575 = V269301 + 1. assign V192875 = V330524. assign V168423 = V214557. assign V924630 = V609368 + 1. assign V590130 = V881178 + 1. assign V648842 = V165575 - 1. assign V714512 = V829922. assign V509728 = V473162 + 1. assign V112160 = V188114. assign V330524 = V856548 - 1. assign V104962 = V043429 + 1. assign V592060 = V797281 + 1. assign V974233 = V641239 - 1. assign V779156 = V661547. assign V888681 = V529326 + 1. assign V043429 = V305680. assign V778415 = V349483 - 1. assign V786321 = V165575. assign V725750 = V648842. assign V066826 = V829922. assign V428792 = V113972 - 1. assign V398791 = V305270 - 1. assign V850911 = V189784 - 1. assign V525518 = V529326 + 1. assign V442419 = V525518 + 1. assign V529430 = V043429 - 1. assign V767166 = V856548 + 1. assign V143045 = V165575 - 1. assign V873565 = V136521. assign V983744 = V592060. assign V900549 = V552262 + 1. assign V829658 = V195613 - 1. assign V586718 = V656948 - 1. assign V299233 = V564474 - 1. assign V971935 = V504169 - 1. assign V620895 = V212868 + 1. assign V427392 = V269301. assign V739497 = V269301 - 1. assign V823759 = V345621. assign V868812 = V969172 - 1. assign V140705 = V268516 + 1. assign V101452 = V509728 + 1. assign V385243 = V188114. assign V465653 = V172871 - 1. assign V259666 = V576644 - 1. assign V020403 = V648842 - 1. assign V188114 = V823759 - 1. assign V174631 = V751806 - 1. assign V489926 = V174631. assign V322315 = V637989. assign V345621 = V779753. assign V870210 = V586718 - 1. assign V631974 = V856548. assign V784899 = V192875. assign V305270 = V699340 - 1. assign V195613 = V165575 + 1. assign V409313 = V402939. assign V172871 = V427392. assign V523021 = V299233 + 1. assign V641239 = V465653. assign V421002 = V345621 - 1. assign V609368 = V609924 + 1. assign V880182 = V656948. assign V188474 = V586718 - 1. assign V071280 = V829922. assign V829922 = V648842 + 1. assign V071878 = V165575. assign V655182 = V421002 - 1. assign V294641 = V299233. assign V656948 = V165575 + 1. assign V726253 = V168225 + 1. assign V671500 = V699340 + 1. assign V276241 = V212868 + 1. assign V349483 = V714512 + 1. assign V177827 = V541062 - 1. assign V402939 = V165575 - 1. assign V841228 = V525518. assign V964221 = V449376. assign V080473 = V345621 - 1. assign V576644 = V656948 + 1. assign V045487 = V071280. assign V525770 = V305270 + 1. assign V807948 = V880182 + 1. assign V449376 = V071280. assign V493563 = V648842 + 1. assign V647616 = V409313 - 1. assign V637989 = V985535 + 1. assign V665863 = V105584 - 1. assign V607745 = V856548 + 1. assign V136521 = V656948 + 1. assign V671436 = V575037. assign V169468 = V779753 + 1. assign V327402 = V153523. assign V518522 = V406684 - 1. assign V564474 = V165575. assign V899865 = V260107 - 1. assign V922992 = V829658. assign V384182 = V368292 + 1. assign V212868 = V192875 - 1. assign V756054 = V829922 + 1. assign V797281 = V415940 + 1. assign V198750 = V136521 - 1. assign V363286 = V473162 - 1. assign V645505 = V043429 - 1. assign V969172 = V541062. assign V699340 = V113972. assign V444257 = V465653 + 1. assign V153121 = V518522 - 1. assign V601482 = V779156.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V415940 = V656948 - 1. assign V884603 = V153523 + 1. assign V671040 = V529430. assign V636637 = V493563. assign V001578 = V188114 + 1. assign V053201 = V576644 - 1. assign V214557 = V661547. assign V305680 = V172871 + 1. assign V802022 = V192875 + 1. assign V697917 = V509728. assign V985535 = V269301 - 1. assign V579273 = V564474. assign V881178 = V671040. assign V268516 = 6. assign V168225 = V214557. assign V113972 = V368292. assign V661547 = V529326 + 1. assign V930396 = V442419 - 1. assign V673791 = V429063. assign V393043 = V305680 - 1. assign V279610 = V985535. assign V473162 = V586718. assign V729101 = V442419 - 1. assign V899622 = V415940 + 1. assign V843384 = V841228. assign V406684 = V899622 + 1. assign V770245 = V974233 + 1. assign V609924 = V043429. assign V429063 = V043429. assign V477441 = V661547 + 1. assign V256270 = V529326 + 1. assign V644449 = V786321 - 1. assign V105584 = V880182. assign V923128 = V888681 + 1. assign V541062 = V661547. assign V085071 = V449376. assign V023805 = V172871 - 1. assign V146888 = V850911 + 1. assign V831179 = V429063 - 1. assign V506642 = V969172. assign V856548 = V165575 - 1. assign V332763 = V429063 + 1. assign V681277 = V829922. assign V801089 = V058608 - 1. assign V212323 = V058608 + 1. assign V378269 = V113972. assign V575037 = V656948 + 1. assign V387981 = V888681. assign V260107 = V671500. assign V189784 = V699340 + 1. assign V504169 = V801089. assign V077650 = V195613. assign V453006 = V322315 - 1. assign V552262 = V729101 - 1. assign V751806 = V714512 - 1. assign V153523 = V269301 + 1. assign V412691 = V829922 + 1. assign V846124 = V332763 - 1. assign V058608 = V066826 + 1. assign V544295 = V656948 - 1. assign V779753 = V725750 - 1. assign V368292 = V656948. assign V529326 = V725750 + 1. assign V165575 = V269301 + 1. assign V192875 = V330524. assign V168423 = V214557. assign V924630 = V609368 + 1. assign V590130 = V881178 + 1. assign V648842 = V165575 - 1. assign V714512 = V829922. assign V509728 = V473162 + 1. assign V112160 = V188114. assign V330524 = V856548 - 1. assign V104962 = V043429 + 1. assign V592060 = V797281 + 1. assign V974233 = V641239 - 1. assign V779156 = V661547. assign V888681 = V529326 + 1. assign V043429 = V305680. assign V778415 = V349483 - 1. assign V786321 = V165575. assign V725750 = V648842. assign V066826 = V829922. assign V428792 = V113972 - 1. assign V398791 = V305270 - 1. assign V850911 = V189784 - 1. assign V525518 = V529326 + 1. assign V442419 = V525518 + 1. assign V529430 = V043429 - 1. assign V767166 = V856548 + 1. assign V143045 = V165575 - 1. assign V873565 = V136521. assign V983744 = V592060. assign V900549 = V552262 + 1. assign V829658 = V195613 - 1. assign V586718 = V656948 - 1. assign V299233 = V564474 - 1. assign V971935 = V504169 - 1. assign V620895 = V212868 + 1. assign V427392 = V269301. assign V739497 = V269301 - 1. assign V823759 = V345621. assign V868812 = V969172 - 1. assign V140705 = V268516 + 1. assign V101452 = V509728 + 1. assign V385243 = V188114. assign V465653 = V172871 - 1. assign V259666 = V576644 - 1. assign V020403 = V648842 - 1. assign V188114 = V823759 - 1. assign V174631 = V751806 - 1. assign V489926 = V174631. assign V322315 = V637989. assign V345621 = V779753. assign V870210 = V586718 - 1. assign V631974 = V856548. assign V784899 = V192875. assign V305270 = V699340 - 1. assign V195613 = V165575 + 1. assign V409313 = V402939. assign V172871 = V427392. assign V523021 = V299233 + 1. assign V641239 = V465653. assign V421002 = V345621 - 1. assign V609368 = V609924 + 1. assign V880182 = V656948. assign V188474 = V586718 - 1. assign V071280 = V829922. assign V829922 = V648842 + 1. assign V071878 = V165575. assign V655182 = V421002 - 1. assign V294641 = V299233. assign V656948 = V165575 + 1. assign V726253 = V168225 + 1. assign V671500 = V699340 + 1. assign V276241 = V212868 + 1. assign V349483 = V714512 + 1. assign V177827 = V541062 - 1. assign V402939 = V165575 - 1. assign V841228 = V525518. assign V964221 = V449376. assign V080473 = V345621 - 1. assign V576644 = V656948 + 1. assign V045487 = V071280. assign V525770 = V305270 + 1. assign V807948 = V880182 + 1. assign V449376 = V071280. assign V493563 = V648842 + 1. assign V647616 = V409313 - 1. assign V637989 = V985535 + 1. assign V665863 = V105584 - 1. assign V607745 = V856548 + 1. assign V136521 = V656948 + 1. assign V671436 = V575037. assign V169468 = V779753 + 1. assign V327402 = V153523. assign V518522 = V406684 - 1. assign V564474 = V165575. assign V899865 = V260107 - 1. assign V922992 = V829658. assign V384182 = V368292 + 1. assign V212868 = V192875 - 1. assign V756054 = V829922 + 1. assign V797281 = V415940 + 1. assign V198750 = V136521 - 1. assign V363286 = V473162 - 1. assign V645505 = V043429 - 1. assign V969172 = V541062. assign V699340 = V113972. assign V444257 = V465653 + 1. assign V153121 = V518522 - 1. assign V601482 = V779156.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV268516 = 6;\n\nFrom these direct assignment(s), we have: \nV140705 = V268516 + 1 = 6 + 1 =7;\nNo other variables can be derived from V140705;\nNo other variables can be derived from V268516;\n\nNow we have done all the calculations. Derived variables are:\nV268516 = 6;\nV140705 = 7;\n\nNow we have finished this problem. ANSWER:\nV140705\n", "role": "assistant" } ]

[ "V971746" ]

[ { "content": "<context>\nassign V014955 = V634704 + 1. assign V516022 = V424351 - 1. assign V460823 = V390907 - 1. assign V248345 = V139567 - 1. assign V191762 = V592435 - 1. assign V476008 = V708775 - 1. assign V390907 = V664985. assign V354045 = V101206 - 1. assign V487460 = V525641. assign V397147 = V101206. assign V026976 = V289928 + 1. assign V030913 = V525641 + 1. assign V689513 = V191762. assign V243063 = V171615 - 1. assign V391256 = V629308 + 1. assign V644756 = V424351 + 1. assign V962773 = V254418. assign V948477 = V060353 - 1. assign V768872 = V593595 + 1. assign V434138 = V383325 - 1. assign V315745 = V071003. assign V252560 = V794230. assign V436041 = V812912 + 1. assign V289698 = V698445 + 1. assign V957528 = V060353. assign V025385 = V424351 + 1. assign V789583 = V466632 + 1. assign V139567 = V708775 - 1. assign V309929 = V768304. assign V654015 = V632612. assign V578787 = V757680 - 1. assign V302753 = V789583. assign V181687 = V644756 + 1. assign V436303 = V345769. assign V971746 = V508029 + 1. assign V391388 = V315745 + 1. assign V747668 = V390907 - 1. assign V367823 = V804180 + 1. assign V768304 = V424351. assign V708775 = V611279 - 1. assign V784619 = V071003. assign V541507 = V737077 + 1. assign V028902 = V139567 + 1. assign V054115 = V289928 - 1. assign V833483 = V842489 - 1. assign V652601 = V737077 - 1. assign V468861 = V014955 + 1. assign V264427 = V071003 - 1. assign V304558 = V487106 + 1. assign V474884 = V754189 + 1. assign V180323 = V993216 - 1. assign V812912 = V757680. assign V601293 = V303338. assign V332734 = V842489 - 1. assign V478035 = V487106 + 1. assign V570367 = V948477. assign V755136 = V592435 + 1. assign V893195 = V708775 - 1. assign V522543 = V390907 + 1. assign V227902 = V991688 - 1. assign V071003 = V612487 - 1. assign V964636 = V431291. assign V383325 = V671279 + 1. assign V466632 = V768304 - 1. assign V960944 = V933127. assign V803162 = V254418. assign V289928 = V468861 - 1. assign V842489 = V014955 - 1. assign V833939 = V390907 + 1. assign V067293 = V757680 + 1. assign V648836 = V434138 - 1. assign V911683 = V248345. assign V191388 = V911683. assign V592435 = V803162. assign V254861 = V364057 + 1. assign V794230 = V612487. assign V244060 = V768304 - 1. assign V182631 = V525641 - 1. assign V895991 = V663411 - 1. assign V934357 = V737077 - 1. assign V139248 = V794230 - 1. assign V331805 = V812912 + 1. assign V778595 = V478035. assign V497244 = V757680 - 1. assign V204296 = V180323. assign V324328 = V708775 + 1. assign V461066 = V101206. assign V955654 = V671279. assign V598555 = V952356 - 1. assign V993216 = V708775. assign V302934 = V663411 - 1. assign V899239 = V071003 + 1. assign V062060 = V654015. assign V349361 = V803162. assign V889346 = V054115 - 1. assign V525641 = V952356 - 1. assign V242163 = V632612. assign V288407 = V948477 + 1. assign V634704 = V265159 - 1. assign V079139 = V739024 - 1. assign V345769 = V952356 + 1. assign V254418 = V424351 - 1. assign V508029 = 0. assign V110804 = V478035. assign V066315 = V213912 - 1. assign V364057 = V525641. assign V710628 = V648836 + 1. assign V473928 = V060353 - 1. assign V593595 = V473928 + 1. assign V771782 = V652601 - 1. assign V362968 = V071003 - 1. assign V213912 = V487106 - 1. assign V565910 = V803162 + 1. assign V607260 = V757680. assign V804180 = V014955 - 1. assign V566042 = V592435 + 1. assign V591479 = V310299 + 1. assign V952356 = V612487 + 1. assign V969079 = V768304 + 1. assign V612487 = V803162 - 1. assign V060353 = V254418 - 1. assign V123035 = V473928 - 1. assign V993146 = V671279 + 1. assign V933127 = V383325 + 1. assign V293824 = V355204 + 1. assign V235292 = V139248 + 1. assign V310299 = V698445 - 1. assign V355204 = V497244 + 1. assign V916981 = V180323 - 1. assign V611279 = V473928 + 1. assign V210516 = V254418 + 1. assign V487106 = V644756. assign V029501 = V060353 - 1. assign V309491 = V842489 - 1. assign V845216 = V181687 - 1. assign V742573 = V242163 + 1. assign V825807 = V689513 - 1. assign V629308 = V436041 + 1. assign V902288 = V933127 - 1. assign V584232 = V431291. assign V671279 = V803162. assign V632612 = V612487. assign V500618 = V213912 + 1. assign V081714 = V652601 + 1. assign V016560 = V171615 - 1. assign V591960 = V139567. assign V563176 = V803162. assign V698445 = V737077. assign V855636 = V182631. assign V579750 = V180323. assign V670612 = V993146 + 1. assign V663411 = V497244 + 1. assign V325828 = V607260 - 1. assign V754189 = V833483. assign V757680 = V060353 + 1. assign V431291 = V487106 + 1. assign V231327 = V747668. assign V737077 = V948477 + 1. assign V171615 = V698445. assign V538223 = V265159 + 1. assign V991688 = V789583. assign V306449 = V431291 - 1. assign V265159 = V516022. assign V739024 = V066315 - 1. assign V075343 = V993216 + 1. assign V813383 = V468861 + 1. assign V604729 = V302934. assign V664985 = V516022 + 1. assign V806921 = V468861 + 1. assign V303338 = V306449 + 1. assign V185461 = V663411 + 1. assign V101206 = V497244.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V014955 = V634704 + 1. assign V516022 = V424351 - 1. assign V460823 = V390907 - 1. assign V248345 = V139567 - 1. assign V191762 = V592435 - 1. assign V476008 = V708775 - 1. assign V390907 = V664985. assign V354045 = V101206 - 1. assign V487460 = V525641. assign V397147 = V101206. assign V026976 = V289928 + 1. assign V030913 = V525641 + 1. assign V689513 = V191762. assign V243063 = V171615 - 1. assign V391256 = V629308 + 1. assign V644756 = V424351 + 1. assign V962773 = V254418. assign V948477 = V060353 - 1. assign V768872 = V593595 + 1. assign V434138 = V383325 - 1. assign V315745 = V071003. assign V252560 = V794230. assign V436041 = V812912 + 1. assign V289698 = V698445 + 1. assign V957528 = V060353. assign V025385 = V424351 + 1. assign V789583 = V466632 + 1. assign V139567 = V708775 - 1. assign V309929 = V768304. assign V654015 = V632612. assign V578787 = V757680 - 1. assign V302753 = V789583. assign V181687 = V644756 + 1. assign V436303 = V345769. assign V971746 = V508029 + 1. assign V391388 = V315745 + 1. assign V747668 = V390907 - 1. assign V367823 = V804180 + 1. assign V768304 = V424351. assign V708775 = V611279 - 1. assign V784619 = V071003. assign V541507 = V737077 + 1. assign V028902 = V139567 + 1. assign V054115 = V289928 - 1. assign V833483 = V842489 - 1. assign V652601 = V737077 - 1. assign V468861 = V014955 + 1. assign V264427 = V071003 - 1. assign V304558 = V487106 + 1. assign V474884 = V754189 + 1. assign V180323 = V993216 - 1. assign V812912 = V757680. assign V601293 = V303338. assign V332734 = V842489 - 1. assign V478035 = V487106 + 1. assign V570367 = V948477. assign V755136 = V592435 + 1. assign V893195 = V708775 - 1. assign V522543 = V390907 + 1. assign V227902 = V991688 - 1. assign V071003 = V612487 - 1. assign V964636 = V431291. assign V383325 = V671279 + 1. assign V466632 = V768304 - 1. assign V960944 = V933127. assign V803162 = V254418. assign V289928 = V468861 - 1. assign V842489 = V014955 - 1. assign V833939 = V390907 + 1. assign V067293 = V757680 + 1. assign V648836 = V434138 - 1. assign V911683 = V248345. assign V191388 = V911683. assign V592435 = V803162. assign V254861 = V364057 + 1. assign V794230 = V612487. assign V244060 = V768304 - 1. assign V182631 = V525641 - 1. assign V895991 = V663411 - 1. assign V934357 = V737077 - 1. assign V139248 = V794230 - 1. assign V331805 = V812912 + 1. assign V778595 = V478035. assign V497244 = V757680 - 1. assign V204296 = V180323. assign V324328 = V708775 + 1. assign V461066 = V101206. assign V955654 = V671279. assign V598555 = V952356 - 1. assign V993216 = V708775. assign V302934 = V663411 - 1. assign V899239 = V071003 + 1. assign V062060 = V654015. assign V349361 = V803162. assign V889346 = V054115 - 1. assign V525641 = V952356 - 1. assign V242163 = V632612. assign V288407 = V948477 + 1. assign V634704 = V265159 - 1. assign V079139 = V739024 - 1. assign V345769 = V952356 + 1. assign V254418 = V424351 - 1. assign V508029 = 0. assign V110804 = V478035. assign V066315 = V213912 - 1. assign V364057 = V525641. assign V710628 = V648836 + 1. assign V473928 = V060353 - 1. assign V593595 = V473928 + 1. assign V771782 = V652601 - 1. assign V362968 = V071003 - 1. assign V213912 = V487106 - 1. assign V565910 = V803162 + 1. assign V607260 = V757680. assign V804180 = V014955 - 1. assign V566042 = V592435 + 1. assign V591479 = V310299 + 1. assign V952356 = V612487 + 1. assign V969079 = V768304 + 1. assign V612487 = V803162 - 1. assign V060353 = V254418 - 1. assign V123035 = V473928 - 1. assign V993146 = V671279 + 1. assign V933127 = V383325 + 1. assign V293824 = V355204 + 1. assign V235292 = V139248 + 1. assign V310299 = V698445 - 1. assign V355204 = V497244 + 1. assign V916981 = V180323 - 1. assign V611279 = V473928 + 1. assign V210516 = V254418 + 1. assign V487106 = V644756. assign V029501 = V060353 - 1. assign V309491 = V842489 - 1. assign V845216 = V181687 - 1. assign V742573 = V242163 + 1. assign V825807 = V689513 - 1. assign V629308 = V436041 + 1. assign V902288 = V933127 - 1. assign V584232 = V431291. assign V671279 = V803162. assign V632612 = V612487. assign V500618 = V213912 + 1. assign V081714 = V652601 + 1. assign V016560 = V171615 - 1. assign V591960 = V139567. assign V563176 = V803162. assign V698445 = V737077. assign V855636 = V182631. assign V579750 = V180323. assign V670612 = V993146 + 1. assign V663411 = V497244 + 1. assign V325828 = V607260 - 1. assign V754189 = V833483. assign V757680 = V060353 + 1. assign V431291 = V487106 + 1. assign V231327 = V747668. assign V737077 = V948477 + 1. assign V171615 = V698445. assign V538223 = V265159 + 1. assign V991688 = V789583. assign V306449 = V431291 - 1. assign V265159 = V516022. assign V739024 = V066315 - 1. assign V075343 = V993216 + 1. assign V813383 = V468861 + 1. assign V604729 = V302934. assign V664985 = V516022 + 1. assign V806921 = V468861 + 1. assign V303338 = V306449 + 1. assign V185461 = V663411 + 1. assign V101206 = V497244.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV508029 = 0;\n\nFrom these direct assignment(s), we have: \nV971746 = V508029 + 1 = 0 + 1 =1;\nNo other variables can be derived from V971746;\nNo other variables can be derived from V508029;\n\nNow we have done all the calculations. Derived variables are:\nV508029 = 0;\nV971746 = 1;\n\nNow we have finished this problem. ANSWER:\nV971746\n", "role": "assistant" } ]

[ "V154451" ]

[ { "content": "<context>\nassign V363079 = V184236 + 1. assign V980944 = V816413. assign V751965 = V024330 + 1. assign V524115 = V310914 - 1. assign V194447 = V826355. assign V024330 = V241201 + 1. assign V212071 = V555694 - 1. assign V100124 = V223312 - 1. assign V618673 = V561141 - 1. assign V060982 = V020525 + 1. assign V244543 = V060982 + 1. assign V374400 = V235446 - 1. assign V184236 = V786583 + 1. assign V382121 = V185753. assign V353286 = V085682. assign V743856 = V008516 + 1. assign V488308 = V356381 - 1. assign V555694 = V744487 + 1. assign V935743 = V606341 - 1. assign V220186 = V035587 + 1. assign V575461 = V856433. assign V211237 = V744487 - 1. assign V009921 = V241201 + 1. assign V026110 = V488308. assign V021410 = V473471. assign V517639 = V683075. assign V996200 = V024330. assign V035587 = V744487 + 1. assign V215609 = V561141 - 1. assign V712125 = V241201 - 1. assign V829891 = V386224 - 1. assign V151091 = V154642. assign V938399 = V035587. assign V185753 = V953084. assign V103620 = V751081. assign V303731 = V922375 + 1. assign V433078 = V367044 + 1. assign V660374 = V953084 + 1. assign V455989 = V008516 + 1. assign V088009 = V463595 + 1. assign V238833 = V035587 - 1. assign V928382 = V731038 + 1. assign V272935 = V441883. assign V651518 = V618673 + 1. assign V747207 = V441883. assign V347798 = V780025 - 1. assign V850619 = V626206 + 1. assign V241201 = V744487 + 1. assign V753703 = V706093 - 1. assign V287675 = V223312 - 1. assign V737063 = V439743 + 1. assign V626206 = V660374 - 1. assign V516635 = V185753 - 1. assign V552555 = V705117 + 1. assign V542723 = V705117 - 1. assign V860106 = V751081 - 1. assign V375152 = V386224 + 1. assign V953084 = V441883. assign V439743 = V953084. assign V423562 = V130063. assign V610157 = V850619 + 1. assign V863725 = V786583 + 1. assign V807527 = V922375. assign V238857 = V184236. assign V216271 = V386224. assign V486778 = V712125 - 1. assign V676404 = V784314. assign V731521 = V570649 - 1. assign V464060 = V606341 - 1. assign V571790 = V731038 + 1. assign V440692 = V385199. assign V746834 = V660374 + 1. assign V851818 = V247437 - 1. assign V463595 = V737063 + 1. assign V723996 = V464060 - 1. assign V223312 = V261332 + 1. assign V807619 = V744487. assign V751081 = V737063. assign V367044 = V211237 + 1. assign V004490 = V928382 + 1. assign V271971 = V216271 + 1. assign V391383 = V321284 + 1. assign V346613 = V786583 + 1. assign V473471 = V024330 + 1. assign V925470 = V517639. assign V683075 = V751081 + 1. assign V636689 = V184236 - 1. assign V179122 = V741062. assign V993630 = V430020. assign V696291 = V463595 - 1. assign V658958 = V488308 - 1. assign V321284 = V744487. assign V850386 = V085682 - 1. assign V096018 = V251101. assign V962935 = V154642 + 1. assign V092473 = V347798. assign V385199 = V441883 + 1. assign V705117 = V953084 - 1. assign V816413 = V768050 - 1. assign V551220 = V706093 + 1. assign V376903 = V130063 + 1. assign V289583 = V705117 - 1. assign V020525 = V130063 + 1. assign V441883 = V744487 + 1. assign V239027 = V488308. assign V448706 = V606341 + 1. assign V009814 = V723996 - 1. assign V768050 = V559429 - 1. assign V081478 = V618673 - 1. assign V356381 = V780025 + 1. assign V110104 = V860106 - 1. assign V902694 = V441883. assign V784314 = V683075 - 1. assign V357026 = V386224 - 1. assign V807979 = V092473 - 1. assign V261332 = V130063 - 1. assign V879639 = V089689 + 1. assign V590108 = V423562 + 1. assign V386224 = V215609. assign V089689 = V744487 + 1. assign V126491 = V666432 - 1. assign V085682 = V185753 - 1. assign V430020 = V705117 + 1. assign V235446 = V194447. assign V247437 = V356381. assign V780025 = V705117 + 1. assign V428173 = V826355 + 1. assign V826355 = V004533 - 1. assign V130063 = V744487 - 1. assign V942790 = V751965 + 1. assign V695880 = V347798. assign V570649 = V271971 - 1. assign V856433 = V216271 + 1. assign V559429 = V088259 - 1. assign V922375 = V559429 - 1. assign V717194 = V464060 + 1. assign V251101 = V093499. assign V008516 = V386224. assign V943663 = V826355. assign V411905 = V215609. assign V848267 = V571790 + 1. assign V561141 = V890738 - 1. assign V963961 = V411905 + 1. assign V731038 = V435356 + 1. assign V604751 = V696291. assign V457707 = V088259 + 1. assign V606341 = V744487 + 1. assign V936280 = V829891 + 1. assign V323509 = V093499 + 1. assign V741062 = V760615 - 1. assign V618161 = V089689. assign V786583 = V606341 + 1. assign V838609 = 9. assign V095481 = V559429 + 1. assign V765721 = V035587. assign V154451 = V838609 - 1. assign V088259 = V676404. assign V409395 = V353286 + 1. assign V310914 = V130063. assign V760615 = V382121. assign V890738 = V439743 + 1. assign V706093 = V696291. assign V154642 = V464060. assign V008916 = V435356 - 1. assign V093499 = V626206 - 1. assign V258179 = V760615 + 1. assign V445335 = V367044 - 1. assign V004533 = V441883. assign V822696 = V696291 - 1. assign V435356 = V561141 - 1. assign V133785 = V551220. assign V666432 = V008516 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V363079 = V184236 + 1. assign V980944 = V816413. assign V751965 = V024330 + 1. assign V524115 = V310914 - 1. assign V194447 = V826355. assign V024330 = V241201 + 1. assign V212071 = V555694 - 1. assign V100124 = V223312 - 1. assign V618673 = V561141 - 1. assign V060982 = V020525 + 1. assign V244543 = V060982 + 1. assign V374400 = V235446 - 1. assign V184236 = V786583 + 1. assign V382121 = V185753. assign V353286 = V085682. assign V743856 = V008516 + 1. assign V488308 = V356381 - 1. assign V555694 = V744487 + 1. assign V935743 = V606341 - 1. assign V220186 = V035587 + 1. assign V575461 = V856433. assign V211237 = V744487 - 1. assign V009921 = V241201 + 1. assign V026110 = V488308. assign V021410 = V473471. assign V517639 = V683075. assign V996200 = V024330. assign V035587 = V744487 + 1. assign V215609 = V561141 - 1. assign V712125 = V241201 - 1. assign V829891 = V386224 - 1. assign V151091 = V154642. assign V938399 = V035587. assign V185753 = V953084. assign V103620 = V751081. assign V303731 = V922375 + 1. assign V433078 = V367044 + 1. assign V660374 = V953084 + 1. assign V455989 = V008516 + 1. assign V088009 = V463595 + 1. assign V238833 = V035587 - 1. assign V928382 = V731038 + 1. assign V272935 = V441883. assign V651518 = V618673 + 1. assign V747207 = V441883. assign V347798 = V780025 - 1. assign V850619 = V626206 + 1. assign V241201 = V744487 + 1. assign V753703 = V706093 - 1. assign V287675 = V223312 - 1. assign V737063 = V439743 + 1. assign V626206 = V660374 - 1. assign V516635 = V185753 - 1. assign V552555 = V705117 + 1. assign V542723 = V705117 - 1. assign V860106 = V751081 - 1. assign V375152 = V386224 + 1. assign V953084 = V441883. assign V439743 = V953084. assign V423562 = V130063. assign V610157 = V850619 + 1. assign V863725 = V786583 + 1. assign V807527 = V922375. assign V238857 = V184236. assign V216271 = V386224. assign V486778 = V712125 - 1. assign V676404 = V784314. assign V731521 = V570649 - 1. assign V464060 = V606341 - 1. assign V571790 = V731038 + 1. assign V440692 = V385199. assign V746834 = V660374 + 1. assign V851818 = V247437 - 1. assign V463595 = V737063 + 1. assign V723996 = V464060 - 1. assign V223312 = V261332 + 1. assign V807619 = V744487. assign V751081 = V737063. assign V367044 = V211237 + 1. assign V004490 = V928382 + 1. assign V271971 = V216271 + 1. assign V391383 = V321284 + 1. assign V346613 = V786583 + 1. assign V473471 = V024330 + 1. assign V925470 = V517639. assign V683075 = V751081 + 1. assign V636689 = V184236 - 1. assign V179122 = V741062. assign V993630 = V430020. assign V696291 = V463595 - 1. assign V658958 = V488308 - 1. assign V321284 = V744487. assign V850386 = V085682 - 1. assign V096018 = V251101. assign V962935 = V154642 + 1. assign V092473 = V347798. assign V385199 = V441883 + 1. assign V705117 = V953084 - 1. assign V816413 = V768050 - 1. assign V551220 = V706093 + 1. assign V376903 = V130063 + 1. assign V289583 = V705117 - 1. assign V020525 = V130063 + 1. assign V441883 = V744487 + 1. assign V239027 = V488308. assign V448706 = V606341 + 1. assign V009814 = V723996 - 1. assign V768050 = V559429 - 1. assign V081478 = V618673 - 1. assign V356381 = V780025 + 1. assign V110104 = V860106 - 1. assign V902694 = V441883. assign V784314 = V683075 - 1. assign V357026 = V386224 - 1. assign V807979 = V092473 - 1. assign V261332 = V130063 - 1. assign V879639 = V089689 + 1. assign V590108 = V423562 + 1. assign V386224 = V215609. assign V089689 = V744487 + 1. assign V126491 = V666432 - 1. assign V085682 = V185753 - 1. assign V430020 = V705117 + 1. assign V235446 = V194447. assign V247437 = V356381. assign V780025 = V705117 + 1. assign V428173 = V826355 + 1. assign V826355 = V004533 - 1. assign V130063 = V744487 - 1. assign V942790 = V751965 + 1. assign V695880 = V347798. assign V570649 = V271971 - 1. assign V856433 = V216271 + 1. assign V559429 = V088259 - 1. assign V922375 = V559429 - 1. assign V717194 = V464060 + 1. assign V251101 = V093499. assign V008516 = V386224. assign V943663 = V826355. assign V411905 = V215609. assign V848267 = V571790 + 1. assign V561141 = V890738 - 1. assign V963961 = V411905 + 1. assign V731038 = V435356 + 1. assign V604751 = V696291. assign V457707 = V088259 + 1. assign V606341 = V744487 + 1. assign V936280 = V829891 + 1. assign V323509 = V093499 + 1. assign V741062 = V760615 - 1. assign V618161 = V089689. assign V786583 = V606341 + 1. assign V838609 = 9. assign V095481 = V559429 + 1. assign V765721 = V035587. assign V154451 = V838609 - 1. assign V088259 = V676404. assign V409395 = V353286 + 1. assign V310914 = V130063. assign V760615 = V382121. assign V890738 = V439743 + 1. assign V706093 = V696291. assign V154642 = V464060. assign V008916 = V435356 - 1. assign V093499 = V626206 - 1. assign V258179 = V760615 + 1. assign V445335 = V367044 - 1. assign V004533 = V441883. assign V822696 = V696291 - 1. assign V435356 = V561141 - 1. assign V133785 = V551220. assign V666432 = V008516 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV838609 = 9;\n\nFrom these direct assignment(s), we have: \nV154451 = V838609 - 1 = 9 - 1 =8;\nNo other variables can be derived from V154451;\nNo other variables can be derived from V838609;\n\nNow we have done all the calculations. Derived variables are:\nV838609 = 9;\nV154451 = 8;\n\nNow we have finished this problem. ANSWER:\nV154451\n", "role": "assistant" } ]

[ "V585507" ]

[ { "content": "<context>\nassign V958880 = V246398. assign V107941 = V853180 + 1. assign V678019 = V365848. assign V456579 = V202419 + 1. assign V094151 = V393741 - 1. assign V882613 = V650335. assign V758252 = V246398 + 1. assign V800268 = V107941. assign V882927 = V233429 - 1. assign V119895 = V228684 - 1. assign V054732 = V539126 + 1. assign V699290 = V490098 - 1. assign V585507 = V414341 + 1. assign V414341 = 10. assign V592514 = V704938. assign V206735 = V699290 - 1. assign V822264 = V399159 + 1. assign V539126 = V459419 - 1. assign V412074 = V704938. assign V760379 = V751795. assign V103742 = V232310 - 1. assign V048558 = V638475 + 1. assign V807910 = V383323. assign V734031 = V054732. assign V404042 = V812734 + 1. assign V638475 = V399159 - 1. assign V846551 = V888503 + 1. assign V294946 = V873282. assign V232310 = V927631 + 1. assign V498083 = V850178 + 1. assign V184249 = V842550 + 1. assign V867479 = V921205 - 1. assign V873282 = V678019 - 1. assign V006918 = V641389 + 1. assign V812734 = V152379 - 1. assign V468280 = V799619. assign V907784 = V149202 - 1. assign V012408 = V322685. assign V297187 = V492270 + 1. assign V258601 = V751795. assign V171152 = V812734 + 1. assign V543666 = V678019 + 1. assign V830560 = V475242. assign V241925 = V297303 - 1. assign V827160 = V110627 - 1. assign V384677 = V399159 - 1. assign V552540 = V376972. assign V793137 = V012408 + 1. assign V561510 = V184776. assign V158364 = V704938 + 1. assign V725995 = V921205 - 1. assign V532592 = V293539. assign V416240 = V103742 - 1. assign V993556 = V293539 + 1. assign V647908 = V981513 - 1. assign V475245 = V228684. assign V436033 = V289463 - 1. assign V580250 = V071922 + 1. assign V748301 = V846551 + 1. assign V214418 = V404042 + 1. assign V704938 = V459419 + 1. assign V029936 = V895200. assign V842550 = V981513 - 1. assign V297303 = V314407. assign V071922 = V725995. assign V130324 = V552540 + 1. assign V276235 = V704938 - 1. assign V390187 = V850178. assign V376972 = V459419 - 1. assign V110627 = V774527 - 1. assign V383323 = V376972 - 1. assign V852484 = V085888 + 1. assign V457329 = V853180 - 1. assign V853180 = V888503 - 1. assign V199338 = V365848 - 1. assign V052022 = V214418. assign V178716 = V071922 - 1. assign V495248 = V524137. assign V751795 = V250544. assign V765552 = V561510 + 1. assign V399368 = V314407. assign V322685 = V459419. assign V202419 = V322685. assign V314407 = V552540 + 1. assign V921205 = V384677 - 1. assign V593507 = V989563. assign V578484 = V110627 - 1. assign V228684 = V774527 - 1. assign V617483 = V119895 - 1. assign V236029 = V379750. assign V590429 = V939378. assign V246398 = V725995 + 1. assign V858585 = V178716. assign V981513 = V246398 - 1. assign V046101 = V232310 + 1. assign V422309 = V130324. assign V042054 = V981513. assign V895200 = V774527 - 1. assign V443457 = V920125 + 1. assign V303069 = V888503. assign V526004 = V888503. assign V565404 = V807910 - 1. assign V762746 = V384677. assign V459419 = V895200 - 1. assign V289463 = V638475. assign V958961 = V641389 + 1. assign V848858 = V927631. assign V686341 = V699290 + 1. assign V989563 = V800268 - 1. assign V184776 = V422309 - 1. assign V558713 = V939378 - 1. assign V393741 = V376972 + 1. assign V492270 = V322685 + 1. assign V641389 = V393741 + 1. assign V821629 = V178716 - 1. assign V149202 = V393741 - 1. assign V293370 = V960791. assign V850178 = V107941 + 1. assign V140204 = V552540 - 1. assign V981788 = V873282 - 1. assign V450910 = V617577. assign V033975 = V149202 + 1. assign V365848 = V459419 - 1. assign V664033 = V054732 + 1. assign V524137 = V140204 - 1. assign V927631 = V895200. assign V222911 = V760379. assign V586356 = V012408 - 1. assign V960791 = V492270 + 1. assign V567422 = V233429. assign V726813 = V762746. assign V751148 = V412074 - 1. assign V833198 = V085888. assign V847941 = V920125. assign V876289 = V678019 - 1. assign V137853 = V379750 - 1. assign V379750 = V293539 - 1. assign V233429 = V365848 - 1. assign V939378 = V853180 + 1. assign V068828 = V765552 - 1. assign V210279 = V520062 - 1. assign V085888 = V678019. assign V888503 = V774527. assign V799619 = V638475. assign V110101 = V490098 - 1. assign V139429 = V921205 - 1. assign V750776 = V149202 - 1. assign V293539 = V085888. assign V650335 = V704938 - 1. assign V416931 = V853180 + 1. assign V520062 = V762746. assign V327923 = V492270 - 1. assign V856202 = V822264. assign V391379 = V760379. assign V265794 = V110627 + 1. assign V617577 = V139429 + 1. assign V490098 = V412074 + 1. assign V326522 = V539126 + 1. assign V758172 = V158364. assign V152379 = V228684. assign V826794 = V543666. assign V250544 = V641389 - 1. assign V920125 = V140204 - 1. assign V335162 = V322685 + 1. assign V913827 = V958880 - 1. assign V782913 = V139429 + 1. assign V475242 = V638475. assign V091049 = V895200 + 1. assign V399159 = V774527. assign V549399 = V580250 + 1. assign V760129 = V774527 - 1. assign V215598 = V140204 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V958880 = V246398. assign V107941 = V853180 + 1. assign V678019 = V365848. assign V456579 = V202419 + 1. assign V094151 = V393741 - 1. assign V882613 = V650335. assign V758252 = V246398 + 1. assign V800268 = V107941. assign V882927 = V233429 - 1. assign V119895 = V228684 - 1. assign V054732 = V539126 + 1. assign V699290 = V490098 - 1. assign V585507 = V414341 + 1. assign V414341 = 10. assign V592514 = V704938. assign V206735 = V699290 - 1. assign V822264 = V399159 + 1. assign V539126 = V459419 - 1. assign V412074 = V704938. assign V760379 = V751795. assign V103742 = V232310 - 1. assign V048558 = V638475 + 1. assign V807910 = V383323. assign V734031 = V054732. assign V404042 = V812734 + 1. assign V638475 = V399159 - 1. assign V846551 = V888503 + 1. assign V294946 = V873282. assign V232310 = V927631 + 1. assign V498083 = V850178 + 1. assign V184249 = V842550 + 1. assign V867479 = V921205 - 1. assign V873282 = V678019 - 1. assign V006918 = V641389 + 1. assign V812734 = V152379 - 1. assign V468280 = V799619. assign V907784 = V149202 - 1. assign V012408 = V322685. assign V297187 = V492270 + 1. assign V258601 = V751795. assign V171152 = V812734 + 1. assign V543666 = V678019 + 1. assign V830560 = V475242. assign V241925 = V297303 - 1. assign V827160 = V110627 - 1. assign V384677 = V399159 - 1. assign V552540 = V376972. assign V793137 = V012408 + 1. assign V561510 = V184776. assign V158364 = V704938 + 1. assign V725995 = V921205 - 1. assign V532592 = V293539. assign V416240 = V103742 - 1. assign V993556 = V293539 + 1. assign V647908 = V981513 - 1. assign V475245 = V228684. assign V436033 = V289463 - 1. assign V580250 = V071922 + 1. assign V748301 = V846551 + 1. assign V214418 = V404042 + 1. assign V704938 = V459419 + 1. assign V029936 = V895200. assign V842550 = V981513 - 1. assign V297303 = V314407. assign V071922 = V725995. assign V130324 = V552540 + 1. assign V276235 = V704938 - 1. assign V390187 = V850178. assign V376972 = V459419 - 1. assign V110627 = V774527 - 1. assign V383323 = V376972 - 1. assign V852484 = V085888 + 1. assign V457329 = V853180 - 1. assign V853180 = V888503 - 1. assign V199338 = V365848 - 1. assign V052022 = V214418. assign V178716 = V071922 - 1. assign V495248 = V524137. assign V751795 = V250544. assign V765552 = V561510 + 1. assign V399368 = V314407. assign V322685 = V459419. assign V202419 = V322685. assign V314407 = V552540 + 1. assign V921205 = V384677 - 1. assign V593507 = V989563. assign V578484 = V110627 - 1. assign V228684 = V774527 - 1. assign V617483 = V119895 - 1. assign V236029 = V379750. assign V590429 = V939378. assign V246398 = V725995 + 1. assign V858585 = V178716. assign V981513 = V246398 - 1. assign V046101 = V232310 + 1. assign V422309 = V130324. assign V042054 = V981513. assign V895200 = V774527 - 1. assign V443457 = V920125 + 1. assign V303069 = V888503. assign V526004 = V888503. assign V565404 = V807910 - 1. assign V762746 = V384677. assign V459419 = V895200 - 1. assign V289463 = V638475. assign V958961 = V641389 + 1. assign V848858 = V927631. assign V686341 = V699290 + 1. assign V989563 = V800268 - 1. assign V184776 = V422309 - 1. assign V558713 = V939378 - 1. assign V393741 = V376972 + 1. assign V492270 = V322685 + 1. assign V641389 = V393741 + 1. assign V821629 = V178716 - 1. assign V149202 = V393741 - 1. assign V293370 = V960791. assign V850178 = V107941 + 1. assign V140204 = V552540 - 1. assign V981788 = V873282 - 1. assign V450910 = V617577. assign V033975 = V149202 + 1. assign V365848 = V459419 - 1. assign V664033 = V054732 + 1. assign V524137 = V140204 - 1. assign V927631 = V895200. assign V222911 = V760379. assign V586356 = V012408 - 1. assign V960791 = V492270 + 1. assign V567422 = V233429. assign V726813 = V762746. assign V751148 = V412074 - 1. assign V833198 = V085888. assign V847941 = V920125. assign V876289 = V678019 - 1. assign V137853 = V379750 - 1. assign V379750 = V293539 - 1. assign V233429 = V365848 - 1. assign V939378 = V853180 + 1. assign V068828 = V765552 - 1. assign V210279 = V520062 - 1. assign V085888 = V678019. assign V888503 = V774527. assign V799619 = V638475. assign V110101 = V490098 - 1. assign V139429 = V921205 - 1. assign V750776 = V149202 - 1. assign V293539 = V085888. assign V650335 = V704938 - 1. assign V416931 = V853180 + 1. assign V520062 = V762746. assign V327923 = V492270 - 1. assign V856202 = V822264. assign V391379 = V760379. assign V265794 = V110627 + 1. assign V617577 = V139429 + 1. assign V490098 = V412074 + 1. assign V326522 = V539126 + 1. assign V758172 = V158364. assign V152379 = V228684. assign V826794 = V543666. assign V250544 = V641389 - 1. assign V920125 = V140204 - 1. assign V335162 = V322685 + 1. assign V913827 = V958880 - 1. assign V782913 = V139429 + 1. assign V475242 = V638475. assign V091049 = V895200 + 1. assign V399159 = V774527. assign V549399 = V580250 + 1. assign V760129 = V774527 - 1. assign V215598 = V140204 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV414341 = 10;\n\nFrom these direct assignment(s), we have: \nV585507 = V414341 + 1 = 10 + 1 =11;\nNo other variables can be derived from V585507;\nNo other variables can be derived from V414341;\n\nNow we have done all the calculations. Derived variables are:\nV414341 = 10;\nV585507 = 11;\n\nNow we have finished this problem. ANSWER:\nV585507\n", "role": "assistant" } ]

[ "V788045", "V365109" ]

[ { "content": "<context>\nassign V543005 = V024882. assign V083009 = V724844 - 1. assign V818668 = V423094 - 1. assign V069675 = V054256 + 1. assign V935031 = V197811 - 1. assign V201316 = V792755. assign V050013 = V961922 - 1. assign V091837 = V423094. assign V792755 = V941266 - 1. assign V443842 = V679978 - 1. assign V938298 = V760254 - 1. assign V916629 = V866777 + 1. assign V837005 = V842369 - 1. assign V584173 = V739292 - 1. assign V181063 = V083009 - 1. assign V675348 = V030504 + 1. assign V596448 = V196320 - 1. assign V997297 = V594528 + 1. assign V674111 = V739292 + 1. assign V661858 = V041402 - 1. assign V204171 = V579465. assign V651840 = V710533 + 1. assign V951190 = V881684 + 1. assign V959674 = V842369 + 1. assign V933053 = V321979 - 1. assign V710533 = V863951. assign V687088 = V915186 + 1. assign V381514 = V641211 - 1. assign V164083 = V961922 + 1. assign V054256 = V260545 - 1. assign V260545 = V818668 + 1. assign V173715 = V069675 + 1. assign V737334 = V091837. assign V282486 = V197811. assign V972935 = V162021 + 1. assign V948871 = V952605. assign V202126 = V162021 - 1. assign V671795 = V181063. assign V738404 = V911180. assign V423094 = V881684. assign V223366 = V964731. assign V781715 = V521106 - 1. assign V964731 = V628078 - 1. assign V522258 = V041402. assign V320018 = V218250 - 1. assign V788449 = V881684. assign V301595 = V311419. assign V126436 = V423094 + 1. assign V097167 = V091837. assign V218250 = V952605. assign V985987 = V083009 - 1. assign V863951 = V788531. assign V311419 = V368854 - 1. assign V788045 = 7. assign V197811 = V951190 - 1. assign V799656 = V866777. assign V490544 = V724844 + 1. assign V625184 = V095575 - 1. assign V636171 = V498254. assign V237025 = V959674 + 1. assign V086139 = V911180. assign V397389 = V742656 + 1. assign V454390 = V258137 - 1. assign V277912 = V406723 + 1. assign V756161 = V258137 + 1. assign V509600 = V290295 - 1. assign V788531 = V594528 + 1. assign V462986 = V196320 + 1. assign V967954 = V951190 + 1. assign V742656 = V162021 - 1. assign V590567 = V967954 - 1. assign V474297 = V911180 + 1. assign V842369 = V423094 - 1. assign V893701 = V071416 + 1. assign V772654 = V071416. assign V030504 = V967954 + 1. assign V911180 = V423094 + 1. assign V029970 = V321979. assign V016992 = V528184. assign V097252 = V196320. assign V915186 = V091837 - 1. assign V881440 = V083009 + 1. assign V052589 = V260545. assign V594528 = V549881 - 1. assign V961922 = V290295. assign V282383 = V052589. assign V549881 = V423094. assign V113077 = V842369 + 1. assign V159994 = V915186 + 1. assign V628758 = V052589 + 1. assign V866777 = V115595. assign V285077 = V549881 - 1. assign V952605 = V196320. assign V276574 = V951190 + 1. assign V561708 = V347657 + 1. assign V368854 = V423094 - 1. assign V290295 = V549881 + 1. assign V162021 = V052589 - 1. assign V655164 = V933053. assign V110415 = V601426 - 1. assign V321979 = V866777 - 1. assign V537083 = V181063 - 1. assign V640629 = V757464. assign V406723 = V579465 + 1. assign V986684 = V582576. assign V573745 = V054256 - 1. assign V778025 = V915186. assign V448025 = V601426 + 1. assign V579465 = V115595. assign V655626 = V462986 - 1. assign V066695 = V454390. assign V661379 = V641211 + 1. assign V941266 = V229535. assign V095575 = V115595 - 1. assign V757464 = V083009 - 1. assign V971199 = V794108. assign V258137 = V321979 + 1. assign V641211 = V134275. assign V226167 = V113077 + 1. assign V041402 = V385844 + 1. assign V264726 = V628078 - 1. assign V229535 = V162021 - 1. assign V679978 = V115595 - 1. assign V871476 = V582576 - 1. assign V671860 = V282486. assign V405475 = V788449 - 1. assign V860761 = V799656. assign V916814 = V263038 + 1. assign V327303 = V756161 + 1. assign V760254 = V640629 + 1. assign V347657 = V794108 - 1. assign V349246 = V041402 + 1. assign V628078 = V024882. assign V794108 = V083009 - 1. assign V498579 = V368854. assign V528184 = V115595 - 1. assign V317292 = V739292 + 1. assign V115595 = V818668. assign V018867 = V528184 - 1. assign V717659 = V915186 - 1. assign V007999 = V655626 + 1. assign V724844 = V866777. assign V134275 = V197811 + 1. assign V357667 = V952605 - 1. assign V375363 = V223366 + 1. assign V656390 = V952605 + 1. assign V244215 = V961922 + 1. assign V168752 = V590567 + 1. assign V365109 = V788045. assign V591998 = V594528. assign V215427 = V818668 - 1. assign V196320 = V881684 + 1. assign V385844 = V091837 - 1. assign V367240 = V018867 - 1. assign V531976 = V579465. assign V950296 = V164083 + 1. assign V206119 = V933053. assign V735448 = V097252 - 1. assign V998212 = V498579. assign V263038 = V997297 - 1. assign V024882 = V115595 + 1. assign V654780 = V134275. assign V582576 = V881684 - 1. assign V941977 = V915186 + 1. assign V498254 = V628078 - 1. assign V071416 = V997297 + 1. assign V739292 = V860761. assign V770268 = V628758 + 1. assign V463334 = V134275 - 1. assign V601426 = V405475 + 1. assign V259528 = V349246 + 1. assign V521106 = V423094 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V543005 = V024882. assign V083009 = V724844 - 1. assign V818668 = V423094 - 1. assign V069675 = V054256 + 1. assign V935031 = V197811 - 1. assign V201316 = V792755. assign V050013 = V961922 - 1. assign V091837 = V423094. assign V792755 = V941266 - 1. assign V443842 = V679978 - 1. assign V938298 = V760254 - 1. assign V916629 = V866777 + 1. assign V837005 = V842369 - 1. assign V584173 = V739292 - 1. assign V181063 = V083009 - 1. assign V675348 = V030504 + 1. assign V596448 = V196320 - 1. assign V997297 = V594528 + 1. assign V674111 = V739292 + 1. assign V661858 = V041402 - 1. assign V204171 = V579465. assign V651840 = V710533 + 1. assign V951190 = V881684 + 1. assign V959674 = V842369 + 1. assign V933053 = V321979 - 1. assign V710533 = V863951. assign V687088 = V915186 + 1. assign V381514 = V641211 - 1. assign V164083 = V961922 + 1. assign V054256 = V260545 - 1. assign V260545 = V818668 + 1. assign V173715 = V069675 + 1. assign V737334 = V091837. assign V282486 = V197811. assign V972935 = V162021 + 1. assign V948871 = V952605. assign V202126 = V162021 - 1. assign V671795 = V181063. assign V738404 = V911180. assign V423094 = V881684. assign V223366 = V964731. assign V781715 = V521106 - 1. assign V964731 = V628078 - 1. assign V522258 = V041402. assign V320018 = V218250 - 1. assign V788449 = V881684. assign V301595 = V311419. assign V126436 = V423094 + 1. assign V097167 = V091837. assign V218250 = V952605. assign V985987 = V083009 - 1. assign V863951 = V788531. assign V311419 = V368854 - 1. assign V788045 = 7. assign V197811 = V951190 - 1. assign V799656 = V866777. assign V490544 = V724844 + 1. assign V625184 = V095575 - 1. assign V636171 = V498254. assign V237025 = V959674 + 1. assign V086139 = V911180. assign V397389 = V742656 + 1. assign V454390 = V258137 - 1. assign V277912 = V406723 + 1. assign V756161 = V258137 + 1. assign V509600 = V290295 - 1. assign V788531 = V594528 + 1. assign V462986 = V196320 + 1. assign V967954 = V951190 + 1. assign V742656 = V162021 - 1. assign V590567 = V967954 - 1. assign V474297 = V911180 + 1. assign V842369 = V423094 - 1. assign V893701 = V071416 + 1. assign V772654 = V071416. assign V030504 = V967954 + 1. assign V911180 = V423094 + 1. assign V029970 = V321979. assign V016992 = V528184. assign V097252 = V196320. assign V915186 = V091837 - 1. assign V881440 = V083009 + 1. assign V052589 = V260545. assign V594528 = V549881 - 1. assign V961922 = V290295. assign V282383 = V052589. assign V549881 = V423094. assign V113077 = V842369 + 1. assign V159994 = V915186 + 1. assign V628758 = V052589 + 1. assign V866777 = V115595. assign V285077 = V549881 - 1. assign V952605 = V196320. assign V276574 = V951190 + 1. assign V561708 = V347657 + 1. assign V368854 = V423094 - 1. assign V290295 = V549881 + 1. assign V162021 = V052589 - 1. assign V655164 = V933053. assign V110415 = V601426 - 1. assign V321979 = V866777 - 1. assign V537083 = V181063 - 1. assign V640629 = V757464. assign V406723 = V579465 + 1. assign V986684 = V582576. assign V573745 = V054256 - 1. assign V778025 = V915186. assign V448025 = V601426 + 1. assign V579465 = V115595. assign V655626 = V462986 - 1. assign V066695 = V454390. assign V661379 = V641211 + 1. assign V941266 = V229535. assign V095575 = V115595 - 1. assign V757464 = V083009 - 1. assign V971199 = V794108. assign V258137 = V321979 + 1. assign V641211 = V134275. assign V226167 = V113077 + 1. assign V041402 = V385844 + 1. assign V264726 = V628078 - 1. assign V229535 = V162021 - 1. assign V679978 = V115595 - 1. assign V871476 = V582576 - 1. assign V671860 = V282486. assign V405475 = V788449 - 1. assign V860761 = V799656. assign V916814 = V263038 + 1. assign V327303 = V756161 + 1. assign V760254 = V640629 + 1. assign V347657 = V794108 - 1. assign V349246 = V041402 + 1. assign V628078 = V024882. assign V794108 = V083009 - 1. assign V498579 = V368854. assign V528184 = V115595 - 1. assign V317292 = V739292 + 1. assign V115595 = V818668. assign V018867 = V528184 - 1. assign V717659 = V915186 - 1. assign V007999 = V655626 + 1. assign V724844 = V866777. assign V134275 = V197811 + 1. assign V357667 = V952605 - 1. assign V375363 = V223366 + 1. assign V656390 = V952605 + 1. assign V244215 = V961922 + 1. assign V168752 = V590567 + 1. assign V365109 = V788045. assign V591998 = V594528. assign V215427 = V818668 - 1. assign V196320 = V881684 + 1. assign V385844 = V091837 - 1. assign V367240 = V018867 - 1. assign V531976 = V579465. assign V950296 = V164083 + 1. assign V206119 = V933053. assign V735448 = V097252 - 1. assign V998212 = V498579. assign V263038 = V997297 - 1. assign V024882 = V115595 + 1. assign V654780 = V134275. assign V582576 = V881684 - 1. assign V941977 = V915186 + 1. assign V498254 = V628078 - 1. assign V071416 = V997297 + 1. assign V739292 = V860761. assign V770268 = V628758 + 1. assign V463334 = V134275 - 1. assign V601426 = V405475 + 1. assign V259528 = V349246 + 1. assign V521106 = V423094 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV788045 = 7;\n\nFrom these direct assignment(s), we have: \nV365109 = V788045 = 7;\nNo other variables can be derived from V365109;\nNo other variables can be derived from V788045;\n\nNow we have done all the calculations. Derived variables are:\nV788045 = 7;\nV365109 = 7;\n\nNow we have finished this problem. ANSWER:\nV788045, V365109\n", "role": "assistant" } ]

[ "V302357" ]

[ { "content": "<context>\nassign V885703 = V601152. assign V641322 = V039729. assign V273971 = V271882. assign V748767 = V037137 + 1. assign V440986 = V428534. assign V639352 = V213194 - 1. assign V455249 = V668924 - 1. assign V884601 = V547178 + 1. assign V385904 = V930052. assign V762212 = V891848 + 1. assign V415929 = V783452. assign V169063 = V436953 + 1. assign V061801 = V874359. assign V568528 = V034351 - 1. assign V002188 = V916445. assign V107746 = V387860. assign V376223 = V840674 - 1. assign V332957 = V980069 + 1. assign V312849 = V113893 - 1. assign V173542 = V387860 + 1. assign V601152 = V294419 + 1. assign V915415 = V762212 + 1. assign V749043 = V741635 - 1. assign V741635 = V817053 - 1. assign V916040 = V810038 + 1. assign V039729 = V009870 + 1. assign V850143 = V119084. assign V129076 = V428534. assign V193384 = V820239. assign V508607 = V581222 + 1. assign V831370 = V601152 + 1. assign V946706 = V955178 - 1. assign V414569 = V449318 + 1. assign V355364 = V039729 + 1. assign V550327 = V436953. assign V089289 = V428534 + 1. assign V822231 = V087288. assign V503940 = V436953 - 1. assign V455753 = V810038. assign V891848 = V550327 + 1. assign V495722 = V916040 + 1. assign V537068 = V401191 + 1. assign V432431 = V498623. assign V685535 = V342558 - 1. assign V221478 = V565996. assign V833971 = V898896 + 1. assign V651623 = V237503 - 1. assign V031781 = V089289 + 1. assign V496512 = V864418 + 1. assign V410232 = V547178. assign V955178 = V508450. assign V050191 = V478178 - 1. assign V018839 = V266176 - 1. assign V271882 = V332957 - 1. assign V417981 = V087288. assign V622325 = V009870. assign V122426 = V024784 + 1. assign V329547 = V002188 - 1. assign V705980 = V850143 - 1. assign V387849 = V831370. assign V449318 = V213194. assign V694467 = V157647 - 1. assign V793721 = V822231 - 1. assign V817053 = V501852. assign V810038 = V550327. assign V298308 = V169063. assign V233896 = V503940 - 1. assign V063615 = V490394. assign V949195 = V537068 - 1. assign V299753 = V933402. assign V810024 = V169063. assign V413013 = V244962 + 1. assign V077758 = V449318 + 1. assign V294419 = V779187 + 1. assign V960843 = V822231 - 1. assign V968143 = V395832 + 1. assign V244962 = V428534 - 1. assign V933402 = V454284 + 1. assign V916445 = V387860. assign V395832 = V550327. assign V326961 = V024784. assign V079862 = V087288 - 1. assign V700524 = V389518 + 1. assign V506972 = V213194 + 1. assign V410718 = V916445. assign V469076 = V598112 + 1. assign V478178 = V547178 + 1. assign V943385 = V239260 - 1. assign V760480 = V089289 + 1. assign V714617 = V701334 - 1. assign V898896 = V332957. assign V897853 = V031781 + 1. assign V508450 = V332957 - 1. assign V678996 = V454284. assign V034680 = V395832. assign V701334 = V271882 - 1. assign V565996 = V298308 - 1. assign V274105 = V169063 - 1. assign V543132 = V503940 - 1. assign V930052 = V169063 + 1. assign V398662 = V193384. assign V342558 = V949977. assign V239260 = V454284. assign V401191 = V891848 - 1. assign V034351 = V037137. assign V490394 = V274105 - 1. assign V051701 = V077758 - 1. assign V302357 = 2. assign V133672 = V697582 + 1. assign V956859 = V079862. assign V514419 = V697582. assign V980069 = V747272 - 1. assign V086284 = V454284 + 1. assign V981266 = V498623 - 1. assign V058254 = V864418 + 1. assign V009870 = V266176. assign V559266 = V968143. assign V874359 = V063615 - 1. assign V191816 = V428534. assign V893019 = V955178 - 1. assign V002609 = V651623 - 1. assign V010291 = V107746 - 1. assign V266176 = V550327 + 1. assign V581222 = V213194. assign V051658 = V916445. assign V185230 = V999650 - 1. assign V820239 = V169063 + 1. assign V697582 = V034351 - 1. assign V387860 = V169063 - 1. assign V389518 = V779187 - 1. assign V225373 = V503940. assign V428534 = V891848. assign V598112 = V636514 + 1. assign V547178 = V747272 - 1. assign V949977 = V010291 - 1. assign V328565 = V302357 - 1. assign V747272 = V274105. assign V779187 = V454284 + 1. assign V037137 = V810038 + 1. assign V875500 = V387860 + 1. assign V087288 = V581222 - 1. assign V237503 = V193384 - 1. assign V684656 = V685535 - 1. assign V454284 = V449318 + 1. assign V122132 = V237503 + 1. assign V898491 = V820239 + 1. assign V557782 = V508607 - 1. assign V068474 = V034351 + 1. assign V038329 = V581222 - 1. assign V248906 = V559266 + 1. assign V082660 = V395832 + 1. assign V859324 = V622325 + 1. assign V096950 = V037137 - 1. assign V668924 = V506972 + 1. assign V925694 = V039729 - 1. assign V879475 = V113893 - 1. assign V157647 = V603982. assign V636514 = V891848 - 1. assign V783452 = V225373 - 1. assign V213194 = V930052 + 1. assign V840674 = V173542 - 1. assign V501852 = V169063 - 1. assign V999650 = V018839. assign V718811 = V191816 + 1. assign V498623 = V157647 - 1. assign V603982 = V506972 + 1. assign V093794 = V395832 - 1. assign V148962 = V760480 + 1. assign V864418 = V107746 + 1. assign V119084 = V107746 + 1. assign V024784 = V636514 - 1. assign V113893 = V685535 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V885703 = V601152. assign V641322 = V039729. assign V273971 = V271882. assign V748767 = V037137 + 1. assign V440986 = V428534. assign V639352 = V213194 - 1. assign V455249 = V668924 - 1. assign V884601 = V547178 + 1. assign V385904 = V930052. assign V762212 = V891848 + 1. assign V415929 = V783452. assign V169063 = V436953 + 1. assign V061801 = V874359. assign V568528 = V034351 - 1. assign V002188 = V916445. assign V107746 = V387860. assign V376223 = V840674 - 1. assign V332957 = V980069 + 1. assign V312849 = V113893 - 1. assign V173542 = V387860 + 1. assign V601152 = V294419 + 1. assign V915415 = V762212 + 1. assign V749043 = V741635 - 1. assign V741635 = V817053 - 1. assign V916040 = V810038 + 1. assign V039729 = V009870 + 1. assign V850143 = V119084. assign V129076 = V428534. assign V193384 = V820239. assign V508607 = V581222 + 1. assign V831370 = V601152 + 1. assign V946706 = V955178 - 1. assign V414569 = V449318 + 1. assign V355364 = V039729 + 1. assign V550327 = V436953. assign V089289 = V428534 + 1. assign V822231 = V087288. assign V503940 = V436953 - 1. assign V455753 = V810038. assign V891848 = V550327 + 1. assign V495722 = V916040 + 1. assign V537068 = V401191 + 1. assign V432431 = V498623. assign V685535 = V342558 - 1. assign V221478 = V565996. assign V833971 = V898896 + 1. assign V651623 = V237503 - 1. assign V031781 = V089289 + 1. assign V496512 = V864418 + 1. assign V410232 = V547178. assign V955178 = V508450. assign V050191 = V478178 - 1. assign V018839 = V266176 - 1. assign V271882 = V332957 - 1. assign V417981 = V087288. assign V622325 = V009870. assign V122426 = V024784 + 1. assign V329547 = V002188 - 1. assign V705980 = V850143 - 1. assign V387849 = V831370. assign V449318 = V213194. assign V694467 = V157647 - 1. assign V793721 = V822231 - 1. assign V817053 = V501852. assign V810038 = V550327. assign V298308 = V169063. assign V233896 = V503940 - 1. assign V063615 = V490394. assign V949195 = V537068 - 1. assign V299753 = V933402. assign V810024 = V169063. assign V413013 = V244962 + 1. assign V077758 = V449318 + 1. assign V294419 = V779187 + 1. assign V960843 = V822231 - 1. assign V968143 = V395832 + 1. assign V244962 = V428534 - 1. assign V933402 = V454284 + 1. assign V916445 = V387860. assign V395832 = V550327. assign V326961 = V024784. assign V079862 = V087288 - 1. assign V700524 = V389518 + 1. assign V506972 = V213194 + 1. assign V410718 = V916445. assign V469076 = V598112 + 1. assign V478178 = V547178 + 1. assign V943385 = V239260 - 1. assign V760480 = V089289 + 1. assign V714617 = V701334 - 1. assign V898896 = V332957. assign V897853 = V031781 + 1. assign V508450 = V332957 - 1. assign V678996 = V454284. assign V034680 = V395832. assign V701334 = V271882 - 1. assign V565996 = V298308 - 1. assign V274105 = V169063 - 1. assign V543132 = V503940 - 1. assign V930052 = V169063 + 1. assign V398662 = V193384. assign V342558 = V949977. assign V239260 = V454284. assign V401191 = V891848 - 1. assign V034351 = V037137. assign V490394 = V274105 - 1. assign V051701 = V077758 - 1. assign V302357 = 2. assign V133672 = V697582 + 1. assign V956859 = V079862. assign V514419 = V697582. assign V980069 = V747272 - 1. assign V086284 = V454284 + 1. assign V981266 = V498623 - 1. assign V058254 = V864418 + 1. assign V009870 = V266176. assign V559266 = V968143. assign V874359 = V063615 - 1. assign V191816 = V428534. assign V893019 = V955178 - 1. assign V002609 = V651623 - 1. assign V010291 = V107746 - 1. assign V266176 = V550327 + 1. assign V581222 = V213194. assign V051658 = V916445. assign V185230 = V999650 - 1. assign V820239 = V169063 + 1. assign V697582 = V034351 - 1. assign V387860 = V169063 - 1. assign V389518 = V779187 - 1. assign V225373 = V503940. assign V428534 = V891848. assign V598112 = V636514 + 1. assign V547178 = V747272 - 1. assign V949977 = V010291 - 1. assign V328565 = V302357 - 1. assign V747272 = V274105. assign V779187 = V454284 + 1. assign V037137 = V810038 + 1. assign V875500 = V387860 + 1. assign V087288 = V581222 - 1. assign V237503 = V193384 - 1. assign V684656 = V685535 - 1. assign V454284 = V449318 + 1. assign V122132 = V237503 + 1. assign V898491 = V820239 + 1. assign V557782 = V508607 - 1. assign V068474 = V034351 + 1. assign V038329 = V581222 - 1. assign V248906 = V559266 + 1. assign V082660 = V395832 + 1. assign V859324 = V622325 + 1. assign V096950 = V037137 - 1. assign V668924 = V506972 + 1. assign V925694 = V039729 - 1. assign V879475 = V113893 - 1. assign V157647 = V603982. assign V636514 = V891848 - 1. assign V783452 = V225373 - 1. assign V213194 = V930052 + 1. assign V840674 = V173542 - 1. assign V501852 = V169063 - 1. assign V999650 = V018839. assign V718811 = V191816 + 1. assign V498623 = V157647 - 1. assign V603982 = V506972 + 1. assign V093794 = V395832 - 1. assign V148962 = V760480 + 1. assign V864418 = V107746 + 1. assign V119084 = V107746 + 1. assign V024784 = V636514 - 1. assign V113893 = V685535 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV302357 = 2;\n\nFrom these direct assignment(s), we have: \nV328565 = V302357 - 1 = 2 - 1 =1;\nNo other variables can be derived from V328565;\nNo other variables can be derived from V302357;\n\nNow we have done all the calculations. Derived variables are:\nV302357 = 2;\nV328565 = 1;\n\nNow we have finished this problem. ANSWER:\nV302357\n", "role": "assistant" } ]

[ "V890924" ]

[ { "content": "<context>\nassign V908153 = V493278. assign V356276 = V775739 - 1. assign V562423 = V162004 - 1. assign V285952 = V089873 + 1. assign V162004 = V775739 - 1. assign V552963 = V463661. assign V030098 = V118050 - 1. assign V677846 = V172637. assign V731696 = V942384. assign V992200 = V195252 + 1. assign V517082 = V227786. assign V561404 = V237040. assign V030109 = V227786. assign V428916 = V118050. assign V862585 = V093449 + 1. assign V653842 = V356276 + 1. assign V579899 = V162004. assign V376529 = V132036 - 1. assign V665327 = V193601 + 1. assign V447228 = V625260 - 1. assign V007391 = V361122 - 1. assign V681928 = V835923 + 1. assign V810882 = V999715 + 1. assign V348259 = V394071 + 1. assign V180978 = V752050 - 1. assign V625260 = V696402. assign V444681 = V193601 - 1. assign V084550 = V445518 + 1. assign V140659 = V444681. assign V742364 = V752050. assign V913854 = V397832 + 1. assign V683599 = V164430 + 1. assign V079374 = 9. assign V512597 = V932101 - 1. assign V825325 = V401964 - 1. assign V685964 = V395526. assign V292957 = V104650. assign V361122 = V923292. assign V155003 = V285952 + 1. assign V722380 = V579899 + 1. assign V493278 = V744999 - 1. assign V514456 = V127276. assign V136246 = V093449 + 1. assign V538765 = V635150 + 1. assign V807082 = V908153 + 1. assign V696402 = V516035. assign V089873 = V164430. assign V803419 = V430178 + 1. assign V951349 = V498732 - 1. assign V942384 = V742364 + 1. assign V679733 = V180978 + 1. assign V237040 = V775739 + 1. assign V127276 = V939271 - 1. assign V401964 = V842343. assign V523412 = V164430 - 1. assign V069151 = V615991. assign V507508 = V523412. assign V650059 = V428916 + 1. assign V039574 = V394071 - 1. assign V359814 = V999715 - 1. assign V532392 = V155003 + 1. assign V395526 = V909059. assign V886274 = V992200. assign V359271 = V084550 - 1. assign V652083 = V093449 - 1. assign V932106 = V292957 + 1. assign V126107 = V172637 - 1. assign V394071 = V637694 + 1. assign V430178 = V625260 - 1. assign V516120 = V561404 - 1. assign V463661 = V835923 - 1. assign V925911 = V773394 - 1. assign V118050 = V835923. assign V498732 = V794270 - 1. assign V932101 = V172637. assign V172637 = V118050 - 1. assign V634381 = V862585 + 1. assign V902657 = V532392. assign V119642 = V968175 + 1. assign V312296 = V810882 + 1. assign V775739 = V164430. assign V445518 = V932101. assign V015715 = V908103 - 1. assign V368511 = V932101 - 1. assign V185236 = V356276 - 1. assign V146306 = V683599 + 1. assign V635150 = V775739 + 1. assign V723173 = V348259 - 1. assign V563622 = V430178 - 1. assign V163296 = V744999 - 1. assign V516035 = V193601. assign V195252 = V463661 + 1. assign V534747 = V650059 + 1. assign V509391 = V579899. assign V615991 = V172637. assign V397832 = V030098. assign V810298 = V635150 - 1. assign V468255 = V039574 + 1. assign V637694 = V923292. assign V908103 = V172637 + 1. assign V248329 = V180978. assign V924872 = V493278. assign V794270 = V835923. assign V839492 = V107211 - 1. assign V744999 = V523412 + 1. assign V890924 = V079374 + 1. assign V502484 = V043484. assign V262325 = V849956. assign V351337 = V089873 - 1. assign V664917 = V299457 + 1. assign V999715 = V835923 - 1. assign V752050 = V428916 - 1. assign V093449 = V932101 + 1. assign V227786 = V579899 - 1. assign V306364 = V908103 + 1. assign V480907 = V248329. assign V889215 = V104984. assign V489549 = V237040 - 1. assign V773394 = V752050 + 1. assign V336683 = V932101. assign V644588 = V684023 - 1. assign V849956 = V810882 + 1. assign V920392 = V262325. assign V923292 = V347743 + 1. assign V498786 = V514456 - 1. assign V107211 = V538765 - 1. assign V870442 = V444681. assign V103056 = V794270 - 1. assign V835923 = V237040 + 1. assign V716323 = V146306 - 1. assign V684023 = V498786 + 1. assign V534388 = V810882 - 1. assign V968175 = V397832 + 1. assign V857818 = V538765 + 1. assign V318448 = V069315 - 1. assign V104984 = V430178. assign V157442 = V803419 + 1. assign V341061 = V924872 - 1. assign V779526 = V665327. assign V483832 = V523412. assign V104650 = V835923 + 1. assign V132036 = V292957 + 1. assign V404394 = V172637 + 1. assign V842343 = V193601 - 1. assign V851335 = V810882. assign V069315 = V992200 + 1. assign V591100 = V999715 - 1. assign V397390 = V100088. assign V299457 = V886274. assign V541883 = V951349 - 1. assign V766767 = V180978 + 1. assign V486198 = V489549 + 1. assign V632398 = V118050 - 1. assign V387402 = V395526 + 1. assign V197292 = V498786 + 1. assign V025308 = V752050. assign V128735 = V992200 - 1. assign V855495 = V430178. assign V295903 = V541883. assign V193601 = V835923 + 1. assign V105845 = V089873 + 1. assign V029790 = V394071 - 1. assign V347743 = V237040 - 1. assign V472650 = V635150. assign V912959 = V118050 - 1. assign V909059 = V541883 - 1. assign V502626 = V347743 + 1. assign V807728 = V164430 - 1. assign V043484 = V394071 - 1. assign V939271 = V262325 - 1. assign V100088 = V043484 + 1. assign V527719 = V107211 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V908153 = V493278. assign V356276 = V775739 - 1. assign V562423 = V162004 - 1. assign V285952 = V089873 + 1. assign V162004 = V775739 - 1. assign V552963 = V463661. assign V030098 = V118050 - 1. assign V677846 = V172637. assign V731696 = V942384. assign V992200 = V195252 + 1. assign V517082 = V227786. assign V561404 = V237040. assign V030109 = V227786. assign V428916 = V118050. assign V862585 = V093449 + 1. assign V653842 = V356276 + 1. assign V579899 = V162004. assign V376529 = V132036 - 1. assign V665327 = V193601 + 1. assign V447228 = V625260 - 1. assign V007391 = V361122 - 1. assign V681928 = V835923 + 1. assign V810882 = V999715 + 1. assign V348259 = V394071 + 1. assign V180978 = V752050 - 1. assign V625260 = V696402. assign V444681 = V193601 - 1. assign V084550 = V445518 + 1. assign V140659 = V444681. assign V742364 = V752050. assign V913854 = V397832 + 1. assign V683599 = V164430 + 1. assign V079374 = 9. assign V512597 = V932101 - 1. assign V825325 = V401964 - 1. assign V685964 = V395526. assign V292957 = V104650. assign V361122 = V923292. assign V155003 = V285952 + 1. assign V722380 = V579899 + 1. assign V493278 = V744999 - 1. assign V514456 = V127276. assign V136246 = V093449 + 1. assign V538765 = V635150 + 1. assign V807082 = V908153 + 1. assign V696402 = V516035. assign V089873 = V164430. assign V803419 = V430178 + 1. assign V951349 = V498732 - 1. assign V942384 = V742364 + 1. assign V679733 = V180978 + 1. assign V237040 = V775739 + 1. assign V127276 = V939271 - 1. assign V401964 = V842343. assign V523412 = V164430 - 1. assign V069151 = V615991. assign V507508 = V523412. assign V650059 = V428916 + 1. assign V039574 = V394071 - 1. assign V359814 = V999715 - 1. assign V532392 = V155003 + 1. assign V395526 = V909059. assign V886274 = V992200. assign V359271 = V084550 - 1. assign V652083 = V093449 - 1. assign V932106 = V292957 + 1. assign V126107 = V172637 - 1. assign V394071 = V637694 + 1. assign V430178 = V625260 - 1. assign V516120 = V561404 - 1. assign V463661 = V835923 - 1. assign V925911 = V773394 - 1. assign V118050 = V835923. assign V498732 = V794270 - 1. assign V932101 = V172637. assign V172637 = V118050 - 1. assign V634381 = V862585 + 1. assign V902657 = V532392. assign V119642 = V968175 + 1. assign V312296 = V810882 + 1. assign V775739 = V164430. assign V445518 = V932101. assign V015715 = V908103 - 1. assign V368511 = V932101 - 1. assign V185236 = V356276 - 1. assign V146306 = V683599 + 1. assign V635150 = V775739 + 1. assign V723173 = V348259 - 1. assign V563622 = V430178 - 1. assign V163296 = V744999 - 1. assign V516035 = V193601. assign V195252 = V463661 + 1. assign V534747 = V650059 + 1. assign V509391 = V579899. assign V615991 = V172637. assign V397832 = V030098. assign V810298 = V635150 - 1. assign V468255 = V039574 + 1. assign V637694 = V923292. assign V908103 = V172637 + 1. assign V248329 = V180978. assign V924872 = V493278. assign V794270 = V835923. assign V839492 = V107211 - 1. assign V744999 = V523412 + 1. assign V890924 = V079374 + 1. assign V502484 = V043484. assign V262325 = V849956. assign V351337 = V089873 - 1. assign V664917 = V299457 + 1. assign V999715 = V835923 - 1. assign V752050 = V428916 - 1. assign V093449 = V932101 + 1. assign V227786 = V579899 - 1. assign V306364 = V908103 + 1. assign V480907 = V248329. assign V889215 = V104984. assign V489549 = V237040 - 1. assign V773394 = V752050 + 1. assign V336683 = V932101. assign V644588 = V684023 - 1. assign V849956 = V810882 + 1. assign V920392 = V262325. assign V923292 = V347743 + 1. assign V498786 = V514456 - 1. assign V107211 = V538765 - 1. assign V870442 = V444681. assign V103056 = V794270 - 1. assign V835923 = V237040 + 1. assign V716323 = V146306 - 1. assign V684023 = V498786 + 1. assign V534388 = V810882 - 1. assign V968175 = V397832 + 1. assign V857818 = V538765 + 1. assign V318448 = V069315 - 1. assign V104984 = V430178. assign V157442 = V803419 + 1. assign V341061 = V924872 - 1. assign V779526 = V665327. assign V483832 = V523412. assign V104650 = V835923 + 1. assign V132036 = V292957 + 1. assign V404394 = V172637 + 1. assign V842343 = V193601 - 1. assign V851335 = V810882. assign V069315 = V992200 + 1. assign V591100 = V999715 - 1. assign V397390 = V100088. assign V299457 = V886274. assign V541883 = V951349 - 1. assign V766767 = V180978 + 1. assign V486198 = V489549 + 1. assign V632398 = V118050 - 1. assign V387402 = V395526 + 1. assign V197292 = V498786 + 1. assign V025308 = V752050. assign V128735 = V992200 - 1. assign V855495 = V430178. assign V295903 = V541883. assign V193601 = V835923 + 1. assign V105845 = V089873 + 1. assign V029790 = V394071 - 1. assign V347743 = V237040 - 1. assign V472650 = V635150. assign V912959 = V118050 - 1. assign V909059 = V541883 - 1. assign V502626 = V347743 + 1. assign V807728 = V164430 - 1. assign V043484 = V394071 - 1. assign V939271 = V262325 - 1. assign V100088 = V043484 + 1. assign V527719 = V107211 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV079374 = 9;\n\nFrom these direct assignment(s), we have: \nV890924 = V079374 + 1 = 9 + 1 =10;\nNo other variables can be derived from V890924;\nNo other variables can be derived from V079374;\n\nNow we have done all the calculations. Derived variables are:\nV079374 = 9;\nV890924 = 10;\n\nNow we have finished this problem. ANSWER:\nV890924\n", "role": "assistant" } ]

[ "V293618" ]

[ { "content": "<context>\nassign V783750 = V760005. assign V990328 = V502353 + 1. assign V998092 = V121402. assign V688306 = V137885 + 1. assign V335985 = V269648 + 1. assign V070747 = V422283. assign V582917 = V942046. assign V524807 = V018924 + 1. assign V128658 = V995459. assign V434888 = V505518 - 1. assign V336951 = V653144 + 1. assign V091713 = V344467. assign V722322 = V320386. assign V154684 = V954145 - 1. assign V642082 = V189909 - 1. assign V504998 = V382678 + 1. assign V099255 = V241186. assign V835773 = V817986 - 1. assign V006807 = V502006 - 1. assign V687703 = V642082 + 1. assign V493893 = V154684. assign V703371 = V465297 - 1. assign V653067 = V288424. assign V241186 = V225856 + 1. assign V878759 = V653144. assign V116967 = V536343 - 1. assign V189909 = V079959 - 1. assign V346801 = V321174. assign V344467 = V225856. assign V918695 = V607144 + 1. assign V519035 = V739264 - 1. assign V263864 = V836964. assign V280816 = V246011. assign V914213 = V455579. assign V149061 = V824885 - 1. assign V422283 = V036183. assign V288424 = V304576 + 1. assign V320386 = V429818. assign V502006 = V241186 + 1. assign V304481 = V130227 + 1. assign V531789 = V269648 + 1. assign V646100 = V885192 - 1. assign V204542 = V760005 - 1. assign V760005 = V149061 + 1. assign V180196 = V607144 - 1. assign V856095 = V304481. assign V864838 = V264477 + 1. assign V861043 = V836964 - 1. assign V775986 = V121402. assign V514584 = V180196 - 1. assign V956210 = V346801 - 1. assign V817986 = V154684. assign V264477 = V995459 - 1. assign V942046 = V225856. assign V972030 = V918695. assign V429818 = V180196 + 1. assign V036183 = V824885. assign V711420 = V097873. assign V293618 = 9. assign V045036 = V335985 - 1. assign V505518 = V296897 + 1. assign V001596 = V942046. assign V319649 = V712696. assign V296897 = V149061. assign V639204 = V607639 - 1. assign V602444 = V293618 + 1. assign V647971 = V824885 - 1. assign V875479 = V214154. assign V607639 = V942046 + 1. assign V921779 = V504998 - 1. assign V226270 = V956210 - 1. assign V502353 = V225856 + 1. assign V590998 = V582917 + 1. assign V162458 = V336733. assign V814355 = V225856. assign V079959 = V760005 - 1. assign V639291 = V226270 + 1. assign V373419 = V642082. assign V659808 = V297381 - 1. assign V246011 = V524807. assign V085522 = V504998 - 1. assign V321174 = V149061 + 1. assign V130227 = V531789 - 1. assign V262627 = V587396 + 1. assign V476076 = V942046 - 1. assign V663134 = V647971 + 1. assign V018760 = V103642 - 1. assign V043508 = V835773 + 1. assign V118165 = V263864 + 1. assign V716805 = V099255. assign V059329 = V582917 + 1. assign V324766 = V335985 - 1. assign V587622 = V296897 - 1. assign V429023 = V091713. assign V018924 = V824885. assign V998682 = V824885 + 1. assign V975189 = V653144 + 1. assign V097873 = V304576. assign V862839 = V036183 + 1. assign V662658 = V346801 + 1. assign V591571 = V918695 + 1. assign V536343 = V382678 + 1. assign V968114 = V346801. assign V630006 = V954145 - 1. assign V426629 = V304576 - 1. assign V836964 = V204542 - 1. assign V087031 = V180196 + 1. assign V561976 = V972334 - 1. assign V051894 = V336733 - 1. assign V125323 = V426629 + 1. assign V581750 = V154684. assign V390746 = V998682 + 1. assign V664426 = V154684 - 1. assign V162719 = V824885. assign V368370 = V426629 + 1. assign V225856 = V018924 - 1. assign V336733 = V121402 - 1. assign V304576 = V046977 - 1. assign V739264 = V334351 - 1. assign V465297 = V226270. assign V121402 = V099255 - 1. assign V129977 = V817986 - 1. assign V297381 = V264477. assign V382678 = V149061 - 1. assign V137885 = V824885 - 1. assign V861315 = V864412. assign V935279 = V630006 + 1. assign V653144 = V241186 - 1. assign V748881 = V346801. assign V221629 = V162719. assign V026777 = V304481. assign V194992 = V149061 + 1. assign V972334 = V154684 + 1. assign V214154 = V162719 - 1. assign V811582 = V018924 + 1. assign V428241 = V972030 + 1. assign V237673 = V304576 - 1. assign V296267 = V046977 - 1. assign V426123 = V162719 - 1. assign V400354 = V995459 - 1. assign V587396 = V189909 + 1. assign V996021 = V836964 + 1. assign V982688 = V214154 - 1. assign V046977 = V344467. assign V833600 = V805560 - 1. assign V015950 = V263833 - 1. assign V130899 = V582917. assign V166717 = V269648 + 1. assign V600648 = V137885 + 1. assign V088283 = V428241 + 1. assign V607144 = V079959. assign V273137 = V873068 - 1. assign V103642 = V116967 + 1. assign V864412 = V972334 + 1. assign V220159 = V716805 + 1. assign V072586 = V189909 - 1. assign V918308 = V189909. assign V885192 = V861043 - 1. assign V263833 = V861043. assign V428009 = V607144. assign V575906 = V656072 + 1. assign V954145 = V760005. assign V995459 = V607144 - 1. assign V884525 = V149061 - 1. assign V269648 = V607144 - 1. assign V805560 = V878759. assign V455579 = V162719 - 1. assign V656072 = V137885. assign V334351 = V079959 - 1. assign V873068 = V263864 - 1. assign V069187 = V582917. assign V712696 = V422283 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V783750 = V760005. assign V990328 = V502353 + 1. assign V998092 = V121402. assign V688306 = V137885 + 1. assign V335985 = V269648 + 1. assign V070747 = V422283. assign V582917 = V942046. assign V524807 = V018924 + 1. assign V128658 = V995459. assign V434888 = V505518 - 1. assign V336951 = V653144 + 1. assign V091713 = V344467. assign V722322 = V320386. assign V154684 = V954145 - 1. assign V642082 = V189909 - 1. assign V504998 = V382678 + 1. assign V099255 = V241186. assign V835773 = V817986 - 1. assign V006807 = V502006 - 1. assign V687703 = V642082 + 1. assign V493893 = V154684. assign V703371 = V465297 - 1. assign V653067 = V288424. assign V241186 = V225856 + 1. assign V878759 = V653144. assign V116967 = V536343 - 1. assign V189909 = V079959 - 1. assign V346801 = V321174. assign V344467 = V225856. assign V918695 = V607144 + 1. assign V519035 = V739264 - 1. assign V263864 = V836964. assign V280816 = V246011. assign V914213 = V455579. assign V149061 = V824885 - 1. assign V422283 = V036183. assign V288424 = V304576 + 1. assign V320386 = V429818. assign V502006 = V241186 + 1. assign V304481 = V130227 + 1. assign V531789 = V269648 + 1. assign V646100 = V885192 - 1. assign V204542 = V760005 - 1. assign V760005 = V149061 + 1. assign V180196 = V607144 - 1. assign V856095 = V304481. assign V864838 = V264477 + 1. assign V861043 = V836964 - 1. assign V775986 = V121402. assign V514584 = V180196 - 1. assign V956210 = V346801 - 1. assign V817986 = V154684. assign V264477 = V995459 - 1. assign V942046 = V225856. assign V972030 = V918695. assign V429818 = V180196 + 1. assign V036183 = V824885. assign V711420 = V097873. assign V293618 = 9. assign V045036 = V335985 - 1. assign V505518 = V296897 + 1. assign V001596 = V942046. assign V319649 = V712696. assign V296897 = V149061. assign V639204 = V607639 - 1. assign V602444 = V293618 + 1. assign V647971 = V824885 - 1. assign V875479 = V214154. assign V607639 = V942046 + 1. assign V921779 = V504998 - 1. assign V226270 = V956210 - 1. assign V502353 = V225856 + 1. assign V590998 = V582917 + 1. assign V162458 = V336733. assign V814355 = V225856. assign V079959 = V760005 - 1. assign V639291 = V226270 + 1. assign V373419 = V642082. assign V659808 = V297381 - 1. assign V246011 = V524807. assign V085522 = V504998 - 1. assign V321174 = V149061 + 1. assign V130227 = V531789 - 1. assign V262627 = V587396 + 1. assign V476076 = V942046 - 1. assign V663134 = V647971 + 1. assign V018760 = V103642 - 1. assign V043508 = V835773 + 1. assign V118165 = V263864 + 1. assign V716805 = V099255. assign V059329 = V582917 + 1. assign V324766 = V335985 - 1. assign V587622 = V296897 - 1. assign V429023 = V091713. assign V018924 = V824885. assign V998682 = V824885 + 1. assign V975189 = V653144 + 1. assign V097873 = V304576. assign V862839 = V036183 + 1. assign V662658 = V346801 + 1. assign V591571 = V918695 + 1. assign V536343 = V382678 + 1. assign V968114 = V346801. assign V630006 = V954145 - 1. assign V426629 = V304576 - 1. assign V836964 = V204542 - 1. assign V087031 = V180196 + 1. assign V561976 = V972334 - 1. assign V051894 = V336733 - 1. assign V125323 = V426629 + 1. assign V581750 = V154684. assign V390746 = V998682 + 1. assign V664426 = V154684 - 1. assign V162719 = V824885. assign V368370 = V426629 + 1. assign V225856 = V018924 - 1. assign V336733 = V121402 - 1. assign V304576 = V046977 - 1. assign V739264 = V334351 - 1. assign V465297 = V226270. assign V121402 = V099255 - 1. assign V129977 = V817986 - 1. assign V297381 = V264477. assign V382678 = V149061 - 1. assign V137885 = V824885 - 1. assign V861315 = V864412. assign V935279 = V630006 + 1. assign V653144 = V241186 - 1. assign V748881 = V346801. assign V221629 = V162719. assign V026777 = V304481. assign V194992 = V149061 + 1. assign V972334 = V154684 + 1. assign V214154 = V162719 - 1. assign V811582 = V018924 + 1. assign V428241 = V972030 + 1. assign V237673 = V304576 - 1. assign V296267 = V046977 - 1. assign V426123 = V162719 - 1. assign V400354 = V995459 - 1. assign V587396 = V189909 + 1. assign V996021 = V836964 + 1. assign V982688 = V214154 - 1. assign V046977 = V344467. assign V833600 = V805560 - 1. assign V015950 = V263833 - 1. assign V130899 = V582917. assign V166717 = V269648 + 1. assign V600648 = V137885 + 1. assign V088283 = V428241 + 1. assign V607144 = V079959. assign V273137 = V873068 - 1. assign V103642 = V116967 + 1. assign V864412 = V972334 + 1. assign V220159 = V716805 + 1. assign V072586 = V189909 - 1. assign V918308 = V189909. assign V885192 = V861043 - 1. assign V263833 = V861043. assign V428009 = V607144. assign V575906 = V656072 + 1. assign V954145 = V760005. assign V995459 = V607144 - 1. assign V884525 = V149061 - 1. assign V269648 = V607144 - 1. assign V805560 = V878759. assign V455579 = V162719 - 1. assign V656072 = V137885. assign V334351 = V079959 - 1. assign V873068 = V263864 - 1. assign V069187 = V582917. assign V712696 = V422283 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV293618 = 9;\n\nFrom these direct assignment(s), we have: \nV602444 = V293618 + 1 = 9 + 1 =10;\nNo other variables can be derived from V602444;\nNo other variables can be derived from V293618;\n\nNow we have done all the calculations. Derived variables are:\nV293618 = 9;\nV602444 = 10;\n\nNow we have finished this problem. ANSWER:\nV293618\n", "role": "assistant" } ]

[ "V958027", "V984175" ]

[ { "content": "<context>\nassign V220042 = V037291 - 1. assign V752245 = V806445 + 1. assign V630970 = V713502. assign V875669 = V355434 + 1. assign V045917 = V651473 + 1. assign V791018 = V285632 + 1. assign V247843 = V631826. assign V359822 = V884355. assign V299245 = V476196 + 1. assign V047098 = V217002 + 1. assign V859833 = V322578 - 1. assign V285632 = V050677 - 1. assign V411403 = V603078 + 1. assign V336307 = V671547 - 1. assign V531851 = V476196 - 1. assign V131719 = V641970 - 1. assign V871165 = V786234 - 1. assign V862542 = V452400. assign V614616 = V621396 - 1. assign V074027 = V411403. assign V344346 = V611576 + 1. assign V684819 = V411403 - 1. assign V050677 = V388177 + 1. assign V651473 = V515255. assign V186563 = V820361. assign V932149 = V516480 + 1. assign V764825 = V536838. assign V582462 = V442863 - 1. assign V510031 = V536838 + 1. assign V656773 = V466451 + 1. assign V599702 = V322578 - 1. assign V013318 = V101673. assign V096988 = V671547 + 1. assign V820361 = V442863. assign V739803 = V466451 - 1. assign V256763 = V322578 - 1. assign V068558 = V288822 - 1. assign V340711 = V322578. assign V779336 = V536838. assign V515255 = V806445 - 1. assign V726645 = V247843 - 1. assign V956054 = V466451. assign V196969 = V322578. assign V459502 = V806445 + 1. assign V037773 = V867105 - 1. assign V369981 = V939038 + 1. assign V760286 = V054091 - 1. assign V098749 = V656773 - 1. assign V288822 = V536838 + 1. assign V958027 = 7. assign V934501 = V388177 - 1. assign V945097 = V757452. assign V305038 = V816001. assign V325266 = V068558 + 1. assign V457126 = V979606 - 1. assign V973301 = V927902 - 1. assign V534136 = V779336 - 1. assign V636105 = V217002. assign V979606 = V779336 + 1. assign V398992 = V752510. assign V641970 = V095660. assign V681192 = V611576 - 1. assign V786234 = V679807 - 1. assign V579989 = V965672. assign V524504 = V359822 + 1. assign V883143 = V197939 - 1. assign V569962 = V013318. assign V092196 = V411403. assign V206845 = V684819 + 1. assign V835367 = V745020. assign V685007 = V884355 - 1. assign V115511 = V516480 + 1. assign V069046 = V739803 + 1. assign V817082 = V599702 - 1. assign V533774 = V288822. assign V028711 = V023376. assign V679807 = V582462 - 1. assign V037291 = V533774. assign V452400 = V939038 + 1. assign V459960 = V794568. assign V795399 = V651473 + 1. assign V378832 = V621396 - 1. assign V745020 = V344346 + 1. assign V794568 = V096399. assign V156159 = V459502 - 1. assign V927902 = V196878. assign V764598 = V515255. assign V887448 = V979606. assign V821444 = V965672. assign V965672 = V186563. assign V212095 = V812230 - 1. assign V196878 = V388177 - 1. assign V954407 = V388177 + 1. assign V023376 = V482864 - 1. assign V768147 = V482864. assign V442863 = V457126. assign V689806 = V867105. assign V621396 = V949757 - 1. assign V482864 = V713502 + 1. assign V200004 = V611576 - 1. assign V957531 = V603078 - 1. assign V748196 = V023376 + 1. assign V981983 = V459502 - 1. assign V752510 = V450569 - 1. assign V949757 = V437817 - 1. assign V867105 = V887448 + 1. assign V032492 = V641970. assign V466451 = V102074 + 1. assign V716758 = V285632 + 1. assign V884355 = V466451 + 1. assign V536761 = V197939 + 1. assign V355434 = V979606 - 1. assign V197939 = V536838 - 1. assign V762080 = V089907. assign V173522 = V248115 + 1. assign V095660 = V779336. assign V713502 = V355434 + 1. assign V089907 = V569962 - 1. assign V671547 = V536838. assign V595879 = V679807 + 1. assign V278620 = V531719 + 1. assign V597467 = V457126 + 1. assign V553161 = V867105. assign V068358 = V344346. assign V054091 = V186563. assign V052031 = V779336. assign V437817 = V095660 - 1. assign V450569 = V979606. assign V248115 = V631826 - 1. assign V531189 = V516480. assign V013828 = V597467 - 1. assign V232786 = V299245. assign V054394 = V956054 + 1. assign V631826 = V757452 - 1. assign V648619 = V450569 - 1. assign V543170 = V023376 - 1. assign V007634 = V452400 + 1. assign V854997 = V095660 - 1. assign V096399 = V927902. assign V875418 = V054091 - 1. assign V757452 = V288822 + 1. assign V155330 = V201247 + 1. assign V419079 = V621396. assign V261679 = V102074 + 1. assign V618553 = V201247 - 1. assign V217002 = V739803 + 1. assign V816001 = V671547. assign V407298 = V197939 + 1. assign V101673 = V979606 + 1. assign V696543 = V979606 + 1. assign V322578 = V671547 - 1. assign V806445 = V698085 + 1. assign V768753 = V288822 - 1. assign V712535 = V579989. assign V611576 = V779336. assign V812911 = V603078 - 1. assign V603078 = V979606 + 1. assign V812230 = V095660 + 1. assign V653379 = V531719 - 1. assign V531719 = V875669 - 1. assign V919120 = V786234. assign V102074 = V875669. assign V201247 = V013318 - 1. assign V388177 = V536838 - 1. assign V698085 = V351738 - 1. assign V939038 = V344346 - 1. assign V984175 = V958027. assign V203830 = V621396 - 1. assign V476196 = V457126 + 1. assign V351738 = V582462. assign V516480 = V102074 + 1. assign V109906 = V945097 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V220042 = V037291 - 1. assign V752245 = V806445 + 1. assign V630970 = V713502. assign V875669 = V355434 + 1. assign V045917 = V651473 + 1. assign V791018 = V285632 + 1. assign V247843 = V631826. assign V359822 = V884355. assign V299245 = V476196 + 1. assign V047098 = V217002 + 1. assign V859833 = V322578 - 1. assign V285632 = V050677 - 1. assign V411403 = V603078 + 1. assign V336307 = V671547 - 1. assign V531851 = V476196 - 1. assign V131719 = V641970 - 1. assign V871165 = V786234 - 1. assign V862542 = V452400. assign V614616 = V621396 - 1. assign V074027 = V411403. assign V344346 = V611576 + 1. assign V684819 = V411403 - 1. assign V050677 = V388177 + 1. assign V651473 = V515255. assign V186563 = V820361. assign V932149 = V516480 + 1. assign V764825 = V536838. assign V582462 = V442863 - 1. assign V510031 = V536838 + 1. assign V656773 = V466451 + 1. assign V599702 = V322578 - 1. assign V013318 = V101673. assign V096988 = V671547 + 1. assign V820361 = V442863. assign V739803 = V466451 - 1. assign V256763 = V322578 - 1. assign V068558 = V288822 - 1. assign V340711 = V322578. assign V779336 = V536838. assign V515255 = V806445 - 1. assign V726645 = V247843 - 1. assign V956054 = V466451. assign V196969 = V322578. assign V459502 = V806445 + 1. assign V037773 = V867105 - 1. assign V369981 = V939038 + 1. assign V760286 = V054091 - 1. assign V098749 = V656773 - 1. assign V288822 = V536838 + 1. assign V958027 = 7. assign V934501 = V388177 - 1. assign V945097 = V757452. assign V305038 = V816001. assign V325266 = V068558 + 1. assign V457126 = V979606 - 1. assign V973301 = V927902 - 1. assign V534136 = V779336 - 1. assign V636105 = V217002. assign V979606 = V779336 + 1. assign V398992 = V752510. assign V641970 = V095660. assign V681192 = V611576 - 1. assign V786234 = V679807 - 1. assign V579989 = V965672. assign V524504 = V359822 + 1. assign V883143 = V197939 - 1. assign V569962 = V013318. assign V092196 = V411403. assign V206845 = V684819 + 1. assign V835367 = V745020. assign V685007 = V884355 - 1. assign V115511 = V516480 + 1. assign V069046 = V739803 + 1. assign V817082 = V599702 - 1. assign V533774 = V288822. assign V028711 = V023376. assign V679807 = V582462 - 1. assign V037291 = V533774. assign V452400 = V939038 + 1. assign V459960 = V794568. assign V795399 = V651473 + 1. assign V378832 = V621396 - 1. assign V745020 = V344346 + 1. assign V794568 = V096399. assign V156159 = V459502 - 1. assign V927902 = V196878. assign V764598 = V515255. assign V887448 = V979606. assign V821444 = V965672. assign V965672 = V186563. assign V212095 = V812230 - 1. assign V196878 = V388177 - 1. assign V954407 = V388177 + 1. assign V023376 = V482864 - 1. assign V768147 = V482864. assign V442863 = V457126. assign V689806 = V867105. assign V621396 = V949757 - 1. assign V482864 = V713502 + 1. assign V200004 = V611576 - 1. assign V957531 = V603078 - 1. assign V748196 = V023376 + 1. assign V981983 = V459502 - 1. assign V752510 = V450569 - 1. assign V949757 = V437817 - 1. assign V867105 = V887448 + 1. assign V032492 = V641970. assign V466451 = V102074 + 1. assign V716758 = V285632 + 1. assign V884355 = V466451 + 1. assign V536761 = V197939 + 1. assign V355434 = V979606 - 1. assign V197939 = V536838 - 1. assign V762080 = V089907. assign V173522 = V248115 + 1. assign V095660 = V779336. assign V713502 = V355434 + 1. assign V089907 = V569962 - 1. assign V671547 = V536838. assign V595879 = V679807 + 1. assign V278620 = V531719 + 1. assign V597467 = V457126 + 1. assign V553161 = V867105. assign V068358 = V344346. assign V054091 = V186563. assign V052031 = V779336. assign V437817 = V095660 - 1. assign V450569 = V979606. assign V248115 = V631826 - 1. assign V531189 = V516480. assign V013828 = V597467 - 1. assign V232786 = V299245. assign V054394 = V956054 + 1. assign V631826 = V757452 - 1. assign V648619 = V450569 - 1. assign V543170 = V023376 - 1. assign V007634 = V452400 + 1. assign V854997 = V095660 - 1. assign V096399 = V927902. assign V875418 = V054091 - 1. assign V757452 = V288822 + 1. assign V155330 = V201247 + 1. assign V419079 = V621396. assign V261679 = V102074 + 1. assign V618553 = V201247 - 1. assign V217002 = V739803 + 1. assign V816001 = V671547. assign V407298 = V197939 + 1. assign V101673 = V979606 + 1. assign V696543 = V979606 + 1. assign V322578 = V671547 - 1. assign V806445 = V698085 + 1. assign V768753 = V288822 - 1. assign V712535 = V579989. assign V611576 = V779336. assign V812911 = V603078 - 1. assign V603078 = V979606 + 1. assign V812230 = V095660 + 1. assign V653379 = V531719 - 1. assign V531719 = V875669 - 1. assign V919120 = V786234. assign V102074 = V875669. assign V201247 = V013318 - 1. assign V388177 = V536838 - 1. assign V698085 = V351738 - 1. assign V939038 = V344346 - 1. assign V984175 = V958027. assign V203830 = V621396 - 1. assign V476196 = V457126 + 1. assign V351738 = V582462. assign V516480 = V102074 + 1. assign V109906 = V945097 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV958027 = 7;\n\nFrom these direct assignment(s), we have: \nV984175 = V958027 = 7;\nNo other variables can be derived from V984175;\nNo other variables can be derived from V958027;\n\nNow we have done all the calculations. Derived variables are:\nV958027 = 7;\nV984175 = 7;\n\nNow we have finished this problem. ANSWER:\nV958027, V984175\n", "role": "assistant" } ]

[ "V726336" ]

[ { "content": "<context>\nassign V437184 = V750005 - 1. assign V663168 = V768049 + 1. assign V527283 = V898418. assign V766937 = V525655 + 1. assign V514225 = V831525 + 1. assign V827357 = V292683 - 1. assign V340771 = V094130. assign V334729 = V627356 - 1. assign V953487 = V988870. assign V462212 = V617579 + 1. assign V874955 = V498210 - 1. assign V488809 = V140331 + 1. assign V627356 = V752227 - 1. assign V530915 = V525655 - 1. assign V689376 = V062672. assign V946376 = V170187 + 1. assign V762890 = V752227 + 1. assign V072397 = V831525 + 1. assign V924656 = V827357 + 1. assign V525655 = V617579. assign V528247 = V905702 - 1. assign V708448 = V627356. assign V988870 = V617579. assign V578397 = V154568 + 1. assign V306678 = V741701. assign V905702 = V477611. assign V831525 = V036412 - 1. assign V643767 = V525655. assign V056536 = V766937 - 1. assign V980550 = V056536. assign V467844 = V905364. assign V974372 = V306678 - 1. assign V263687 = V140331 + 1. assign V243585 = V866217. assign V175651 = V822849 - 1. assign V980212 = V760283 + 1. assign V662054 = V822849 + 1. assign V094130 = V752227 - 1. assign V822849 = V463419. assign V999851 = V562766. assign V265258 = V768049 - 1. assign V425725 = V234997 - 1. assign V323771 = V062672 + 1. assign V760283 = V730600. assign V109603 = V498210 - 1. assign V898418 = V749747. assign V367859 = V911702 - 1. assign V591075 = V279201 + 1. assign V138333 = V862565 + 1. assign V234349 = V694837 + 1. assign V862565 = V360332 + 1. assign V752227 = V741701 - 1. assign V474699 = V849560 - 1. assign V052912 = V467844 + 1. assign V000910 = V766937 - 1. assign V015437 = V849560 + 1. assign V593135 = V036412 - 1. assign V768049 = V292683 - 1. assign V905364 = V849560 - 1. assign V750005 = V528247 - 1. assign V428555 = V140261 + 1. assign V331184 = V587909 - 1. assign V668792 = V000910 + 1. assign V279201 = V578397 - 1. assign V412256 = V891962 + 1. assign V649942 = V468991. assign V905147 = V340771. assign V808764 = V993116. assign V176185 = V608944 - 1. assign V419724 = V849560 + 1. assign V573435 = V726336 - 1. assign V770785 = V634395. assign V741701 = V617579 + 1. assign V896186 = V265258. assign V545853 = V119121. assign V360332 = V145327 + 1. assign V522120 = V036412. assign V869517 = V525655 - 1. assign V242744 = V007052 - 1. assign V107413 = V128849 + 1. assign V062672 = V474699 - 1. assign V324064 = V000910 + 1. assign V463419 = V109603 - 1. assign V444146 = V874955. assign V675704 = V543273 - 1. assign V385698 = V252149 + 1. assign V212607 = V953487. assign V820859 = V768049 - 1. assign V851244 = V543273 - 1. assign V494494 = V324064. assign V835616 = V015437. assign V854244 = V530915 - 1. assign V007052 = V094130 - 1. assign V849560 = V741701. assign V543273 = V196236 - 1. assign V775501 = V468991 - 1. assign V608944 = V444146 + 1. assign V112415 = V874955 + 1. assign V762475 = V498210 - 1. assign V519722 = V953487 - 1. assign V292683 = V128849 + 1. assign V634395 = V627356 + 1. assign V749747 = V036412 + 1. assign V404304 = V911702. assign V025249 = V831525 + 1. assign V252149 = V094130 - 1. assign V036412 = V498210. assign V232239 = V146145 - 1. assign V511847 = V770785. assign V087934 = V851244. assign V139007 = V145327. assign V024136 = V905147 - 1. assign V288960 = V140261 + 1. assign V581950 = V617579 + 1. assign V212237 = V766937 - 1. assign V911702 = V234349 + 1. assign V140331 = V522120 - 1. assign V477611 = V617579 + 1. assign V729055 = V462212 + 1. assign V534327 = V360332 - 1. assign V587909 = V154568 + 1. assign V170187 = V545853 - 1. assign V694837 = V752227 - 1. assign V408116 = V711654 - 1. assign V726336 = 10. assign V134383 = V324064 - 1. assign V227380 = V349618. assign V694197 = V694837 + 1. assign V880944 = V905364 + 1. assign V122219 = V762475 - 1. assign V730600 = V543273 - 1. assign V391248 = V924656 - 1. assign V993116 = V324064 + 1. assign V987596 = V880462. assign V864265 = V708448. assign V719377 = V891962. assign V140261 = V146145 + 1. assign V468991 = V988870 + 1. assign V880462 = V668792 + 1. assign V752602 = V140261 - 1. assign V907240 = V530915. assign V360605 = V766937. assign V711654 = V525655. assign V349618 = V140331 + 1. assign V952953 = V468991. assign V969375 = V094130 + 1. assign V024519 = V522120. assign V154568 = V000910 + 1. assign V562807 = V974372 + 1. assign V273879 = V360605 - 1. assign V866217 = V617579 + 1. assign V891962 = V768049. assign V543759 = V741701 + 1. assign V007631 = V128849. assign V898466 = V599958 - 1. assign V145327 = V292683 - 1. assign V872068 = V196236. assign V196236 = V462212. assign V149262 = V711654. assign V128849 = V762475 - 1. assign V739174 = V768049 - 1. assign V599958 = V212237. assign V146145 = V498210 + 1. assign V119121 = V530915 - 1. assign V069815 = V196236 + 1. assign V562766 = V498210. assign V726928 = V762475. assign V562007 = V827357 - 1. assign V617579 = V498210. assign V226349 = V952953. assign V947707 = V087934 + 1. assign V234997 = V498210.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V437184 = V750005 - 1. assign V663168 = V768049 + 1. assign V527283 = V898418. assign V766937 = V525655 + 1. assign V514225 = V831525 + 1. assign V827357 = V292683 - 1. assign V340771 = V094130. assign V334729 = V627356 - 1. assign V953487 = V988870. assign V462212 = V617579 + 1. assign V874955 = V498210 - 1. assign V488809 = V140331 + 1. assign V627356 = V752227 - 1. assign V530915 = V525655 - 1. assign V689376 = V062672. assign V946376 = V170187 + 1. assign V762890 = V752227 + 1. assign V072397 = V831525 + 1. assign V924656 = V827357 + 1. assign V525655 = V617579. assign V528247 = V905702 - 1. assign V708448 = V627356. assign V988870 = V617579. assign V578397 = V154568 + 1. assign V306678 = V741701. assign V905702 = V477611. assign V831525 = V036412 - 1. assign V643767 = V525655. assign V056536 = V766937 - 1. assign V980550 = V056536. assign V467844 = V905364. assign V974372 = V306678 - 1. assign V263687 = V140331 + 1. assign V243585 = V866217. assign V175651 = V822849 - 1. assign V980212 = V760283 + 1. assign V662054 = V822849 + 1. assign V094130 = V752227 - 1. assign V822849 = V463419. assign V999851 = V562766. assign V265258 = V768049 - 1. assign V425725 = V234997 - 1. assign V323771 = V062672 + 1. assign V760283 = V730600. assign V109603 = V498210 - 1. assign V898418 = V749747. assign V367859 = V911702 - 1. assign V591075 = V279201 + 1. assign V138333 = V862565 + 1. assign V234349 = V694837 + 1. assign V862565 = V360332 + 1. assign V752227 = V741701 - 1. assign V474699 = V849560 - 1. assign V052912 = V467844 + 1. assign V000910 = V766937 - 1. assign V015437 = V849560 + 1. assign V593135 = V036412 - 1. assign V768049 = V292683 - 1. assign V905364 = V849560 - 1. assign V750005 = V528247 - 1. assign V428555 = V140261 + 1. assign V331184 = V587909 - 1. assign V668792 = V000910 + 1. assign V279201 = V578397 - 1. assign V412256 = V891962 + 1. assign V649942 = V468991. assign V905147 = V340771. assign V808764 = V993116. assign V176185 = V608944 - 1. assign V419724 = V849560 + 1. assign V573435 = V726336 - 1. assign V770785 = V634395. assign V741701 = V617579 + 1. assign V896186 = V265258. assign V545853 = V119121. assign V360332 = V145327 + 1. assign V522120 = V036412. assign V869517 = V525655 - 1. assign V242744 = V007052 - 1. assign V107413 = V128849 + 1. assign V062672 = V474699 - 1. assign V324064 = V000910 + 1. assign V463419 = V109603 - 1. assign V444146 = V874955. assign V675704 = V543273 - 1. assign V385698 = V252149 + 1. assign V212607 = V953487. assign V820859 = V768049 - 1. assign V851244 = V543273 - 1. assign V494494 = V324064. assign V835616 = V015437. assign V854244 = V530915 - 1. assign V007052 = V094130 - 1. assign V849560 = V741701. assign V543273 = V196236 - 1. assign V775501 = V468991 - 1. assign V608944 = V444146 + 1. assign V112415 = V874955 + 1. assign V762475 = V498210 - 1. assign V519722 = V953487 - 1. assign V292683 = V128849 + 1. assign V634395 = V627356 + 1. assign V749747 = V036412 + 1. assign V404304 = V911702. assign V025249 = V831525 + 1. assign V252149 = V094130 - 1. assign V036412 = V498210. assign V232239 = V146145 - 1. assign V511847 = V770785. assign V087934 = V851244. assign V139007 = V145327. assign V024136 = V905147 - 1. assign V288960 = V140261 + 1. assign V581950 = V617579 + 1. assign V212237 = V766937 - 1. assign V911702 = V234349 + 1. assign V140331 = V522120 - 1. assign V477611 = V617579 + 1. assign V729055 = V462212 + 1. assign V534327 = V360332 - 1. assign V587909 = V154568 + 1. assign V170187 = V545853 - 1. assign V694837 = V752227 - 1. assign V408116 = V711654 - 1. assign V726336 = 10. assign V134383 = V324064 - 1. assign V227380 = V349618. assign V694197 = V694837 + 1. assign V880944 = V905364 + 1. assign V122219 = V762475 - 1. assign V730600 = V543273 - 1. assign V391248 = V924656 - 1. assign V993116 = V324064 + 1. assign V987596 = V880462. assign V864265 = V708448. assign V719377 = V891962. assign V140261 = V146145 + 1. assign V468991 = V988870 + 1. assign V880462 = V668792 + 1. assign V752602 = V140261 - 1. assign V907240 = V530915. assign V360605 = V766937. assign V711654 = V525655. assign V349618 = V140331 + 1. assign V952953 = V468991. assign V969375 = V094130 + 1. assign V024519 = V522120. assign V154568 = V000910 + 1. assign V562807 = V974372 + 1. assign V273879 = V360605 - 1. assign V866217 = V617579 + 1. assign V891962 = V768049. assign V543759 = V741701 + 1. assign V007631 = V128849. assign V898466 = V599958 - 1. assign V145327 = V292683 - 1. assign V872068 = V196236. assign V196236 = V462212. assign V149262 = V711654. assign V128849 = V762475 - 1. assign V739174 = V768049 - 1. assign V599958 = V212237. assign V146145 = V498210 + 1. assign V119121 = V530915 - 1. assign V069815 = V196236 + 1. assign V562766 = V498210. assign V726928 = V762475. assign V562007 = V827357 - 1. assign V617579 = V498210. assign V226349 = V952953. assign V947707 = V087934 + 1. assign V234997 = V498210.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV726336 = 10;\n\nFrom these direct assignment(s), we have: \nV573435 = V726336 - 1 = 10 - 1 =9;\nNo other variables can be derived from V573435;\nNo other variables can be derived from V726336;\n\nNow we have done all the calculations. Derived variables are:\nV726336 = 10;\nV573435 = 9;\n\nNow we have finished this problem. ANSWER:\nV726336\n", "role": "assistant" } ]

[ "V339867" ]

[ { "content": "<context>\nassign V142622 = V213421 - 1. assign V122271 = V505905 + 1. assign V727952 = V628079. assign V496212 = V206642. assign V851991 = V472138 - 1. assign V862212 = V995762 - 1. assign V075737 = V697641. assign V484936 = V751691. assign V866484 = V326728. assign V990901 = V624861. assign V472138 = V880286. assign V657219 = V238289 - 1. assign V670669 = V826734 + 1. assign V483089 = V133158. assign V104343 = V783832. assign V242973 = V206642. assign V101789 = V056744 + 1. assign V095485 = V690145 - 1. assign V471276 = V501029 - 1. assign V830094 = V404786. assign V987091 = V960218 + 1. assign V470654 = V429944 + 1. assign V626677 = V817320. assign V624861 = V082575. assign V737316 = V080579. assign V207409 = V325149 - 1. assign V780229 = V587487 - 1. assign V992470 = V724459. assign V783832 = V751691. assign V206642 = V429944 + 1. assign V410144 = V211064. assign V690145 = V697641 + 1. assign V283053 = V211064 + 1. assign V134283 = V133158 - 1. assign V024640 = V498683 - 1. assign V655485 = V484936 - 1. assign V728298 = V633628 - 1. assign V287288 = V690145. assign V880286 = V513715. assign V082575 = V968560 - 1. assign V074404 = V289982 - 1. assign V127749 = V738211. assign V497626 = V213421. assign V940516 = V724459 - 1. assign V211064 = V429944 - 1. assign V822841 = V841028. assign V339867 = V180183 - 1. assign V762919 = V505905 + 1. assign V749063 = V276205. assign V291508 = V628079. assign V429944 = V686259. assign V472545 = V633628 + 1. assign V325149 = V457770. assign V135038 = V134283. assign V238289 = V472138 - 1. assign V981593 = V856514 - 1. assign V882482 = V457770 - 1. assign V654052 = V680459 - 1. assign V498683 = V014047. assign V087818 = V122271 - 1. assign V670047 = V496630 - 1. assign V995762 = V667065. assign V326728 = V841028. assign V278896 = V738211 + 1. assign V213421 = V496630. assign V133158 = V496630. assign V123659 = V014047. assign V933144 = V056744. assign V770751 = V075737 - 1. assign V434042 = V133158 - 1. assign V221305 = V595071 - 1. assign V056744 = V633628 + 1. assign V080579 = V014047 - 1. assign V711263 = V856514 + 1. assign V652273 = V434042 - 1. assign V410272 = V680459. assign V651384 = V665733. assign V408223 = V624861 - 1. assign V196470 = V744957 - 1. assign V466269 = V670047 - 1. assign V701608 = V472545 - 1. assign V693288 = V686259 + 1. assign V588597 = V595071 + 1. assign V171276 = V880286 - 1. assign V202315 = V652273. assign V501029 = V626848. assign V744957 = V213421. assign V893221 = V686259 - 1. assign V595071 = V686259 - 1. assign V522256 = V724459 + 1. assign V496630 = V686259 + 1. assign V665733 = V697641 - 1. assign V194629 = V783832. assign V955718 = V242973 - 1. assign V943212 = V693288 - 1. assign V499696 = V505905 - 1. assign V642068 = V686259 + 1. assign V916757 = V326728. assign V078331 = V513715 - 1. assign V020655 = V652273 + 1. assign V657978 = V882482 + 1. assign V804540 = V085777. assign V047460 = V095485 - 1. assign V894881 = V213421 + 1. assign V841028 = V667065 - 1. assign V312869 = V513715 + 1. assign V663412 = V472545 + 1. assign V680459 = V894881. assign V856514 = V652273. assign V180183 = 0. assign V826734 = V686259. assign V014047 = V697641 + 1. assign V976474 = V672214 - 1. assign V628079 = V206398 - 1. assign V429742 = V724459. assign V686259 = V697641 + 1. assign V171762 = V085777. assign V085777 = V595071 + 1. assign V593347 = V206642. assign V108999 = V757334 + 1. assign V571295 = V968560 - 1. assign V587487 = V206642. assign V183918 = V940516. assign V779633 = V670669 - 1. assign V197227 = V014047 + 1. assign V672214 = V127749 + 1. assign V960218 = V697641. assign V998515 = V278896. assign V437672 = V724459. assign V222961 = V670047 + 1. assign V573513 = V724459 + 1. assign V289982 = V020655. assign V518528 = V686259. assign V181115 = V235050. assign V738211 = V633628 + 1. assign V592082 = V289982 - 1. assign V527240 = V171276 + 1. assign V276205 = V056744. assign V404786 = V321607 + 1. assign V817320 = V075737 - 1. assign V047800 = V856514. assign V321607 = V667065 - 1. assign V203679 = V211064 + 1. assign V694977 = V082575 + 1. assign V915144 = V024640. assign V076577 = V817320. assign V968560 = V194629 - 1. assign V457770 = V513715 + 1. assign V009495 = V437672 - 1. assign V536489 = V841028 - 1. assign V724459 = V014047. assign V140561 = V496212. assign V103380 = V101789 - 1. assign V317504 = V499696 - 1. assign V339894 = V882482 + 1. assign V758172 = V672214. assign V235050 = V014047 + 1. assign V952538 = V437672. assign V633628 = V697641. assign V513715 = V686259. assign V626848 = V633628 - 1. assign V665278 = V893221. assign V667065 = V686259 - 1. assign V751691 = V014047 + 1. assign V541333 = V181115 - 1. assign V643586 = V686259 - 1. assign V757334 = V429944 + 1. assign V938728 = V133158 + 1. assign V505905 = V882482 + 1. assign V206398 = V457770 + 1. assign V260425 = V738211. assign V451859 = V841028.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V142622 = V213421 - 1. assign V122271 = V505905 + 1. assign V727952 = V628079. assign V496212 = V206642. assign V851991 = V472138 - 1. assign V862212 = V995762 - 1. assign V075737 = V697641. assign V484936 = V751691. assign V866484 = V326728. assign V990901 = V624861. assign V472138 = V880286. assign V657219 = V238289 - 1. assign V670669 = V826734 + 1. assign V483089 = V133158. assign V104343 = V783832. assign V242973 = V206642. assign V101789 = V056744 + 1. assign V095485 = V690145 - 1. assign V471276 = V501029 - 1. assign V830094 = V404786. assign V987091 = V960218 + 1. assign V470654 = V429944 + 1. assign V626677 = V817320. assign V624861 = V082575. assign V737316 = V080579. assign V207409 = V325149 - 1. assign V780229 = V587487 - 1. assign V992470 = V724459. assign V783832 = V751691. assign V206642 = V429944 + 1. assign V410144 = V211064. assign V690145 = V697641 + 1. assign V283053 = V211064 + 1. assign V134283 = V133158 - 1. assign V024640 = V498683 - 1. assign V655485 = V484936 - 1. assign V728298 = V633628 - 1. assign V287288 = V690145. assign V880286 = V513715. assign V082575 = V968560 - 1. assign V074404 = V289982 - 1. assign V127749 = V738211. assign V497626 = V213421. assign V940516 = V724459 - 1. assign V211064 = V429944 - 1. assign V822841 = V841028. assign V339867 = V180183 - 1. assign V762919 = V505905 + 1. assign V749063 = V276205. assign V291508 = V628079. assign V429944 = V686259. assign V472545 = V633628 + 1. assign V325149 = V457770. assign V135038 = V134283. assign V238289 = V472138 - 1. assign V981593 = V856514 - 1. assign V882482 = V457770 - 1. assign V654052 = V680459 - 1. assign V498683 = V014047. assign V087818 = V122271 - 1. assign V670047 = V496630 - 1. assign V995762 = V667065. assign V326728 = V841028. assign V278896 = V738211 + 1. assign V213421 = V496630. assign V133158 = V496630. assign V123659 = V014047. assign V933144 = V056744. assign V770751 = V075737 - 1. assign V434042 = V133158 - 1. assign V221305 = V595071 - 1. assign V056744 = V633628 + 1. assign V080579 = V014047 - 1. assign V711263 = V856514 + 1. assign V652273 = V434042 - 1. assign V410272 = V680459. assign V651384 = V665733. assign V408223 = V624861 - 1. assign V196470 = V744957 - 1. assign V466269 = V670047 - 1. assign V701608 = V472545 - 1. assign V693288 = V686259 + 1. assign V588597 = V595071 + 1. assign V171276 = V880286 - 1. assign V202315 = V652273. assign V501029 = V626848. assign V744957 = V213421. assign V893221 = V686259 - 1. assign V595071 = V686259 - 1. assign V522256 = V724459 + 1. assign V496630 = V686259 + 1. assign V665733 = V697641 - 1. assign V194629 = V783832. assign V955718 = V242973 - 1. assign V943212 = V693288 - 1. assign V499696 = V505905 - 1. assign V642068 = V686259 + 1. assign V916757 = V326728. assign V078331 = V513715 - 1. assign V020655 = V652273 + 1. assign V657978 = V882482 + 1. assign V804540 = V085777. assign V047460 = V095485 - 1. assign V894881 = V213421 + 1. assign V841028 = V667065 - 1. assign V312869 = V513715 + 1. assign V663412 = V472545 + 1. assign V680459 = V894881. assign V856514 = V652273. assign V180183 = 0. assign V826734 = V686259. assign V014047 = V697641 + 1. assign V976474 = V672214 - 1. assign V628079 = V206398 - 1. assign V429742 = V724459. assign V686259 = V697641 + 1. assign V171762 = V085777. assign V085777 = V595071 + 1. assign V593347 = V206642. assign V108999 = V757334 + 1. assign V571295 = V968560 - 1. assign V587487 = V206642. assign V183918 = V940516. assign V779633 = V670669 - 1. assign V197227 = V014047 + 1. assign V672214 = V127749 + 1. assign V960218 = V697641. assign V998515 = V278896. assign V437672 = V724459. assign V222961 = V670047 + 1. assign V573513 = V724459 + 1. assign V289982 = V020655. assign V518528 = V686259. assign V181115 = V235050. assign V738211 = V633628 + 1. assign V592082 = V289982 - 1. assign V527240 = V171276 + 1. assign V276205 = V056744. assign V404786 = V321607 + 1. assign V817320 = V075737 - 1. assign V047800 = V856514. assign V321607 = V667065 - 1. assign V203679 = V211064 + 1. assign V694977 = V082575 + 1. assign V915144 = V024640. assign V076577 = V817320. assign V968560 = V194629 - 1. assign V457770 = V513715 + 1. assign V009495 = V437672 - 1. assign V536489 = V841028 - 1. assign V724459 = V014047. assign V140561 = V496212. assign V103380 = V101789 - 1. assign V317504 = V499696 - 1. assign V339894 = V882482 + 1. assign V758172 = V672214. assign V235050 = V014047 + 1. assign V952538 = V437672. assign V633628 = V697641. assign V513715 = V686259. assign V626848 = V633628 - 1. assign V665278 = V893221. assign V667065 = V686259 - 1. assign V751691 = V014047 + 1. assign V541333 = V181115 - 1. assign V643586 = V686259 - 1. assign V757334 = V429944 + 1. assign V938728 = V133158 + 1. assign V505905 = V882482 + 1. assign V206398 = V457770 + 1. assign V260425 = V738211. assign V451859 = V841028.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV180183 = 0;\n\nFrom these direct assignment(s), we have: \nV339867 = V180183 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V339867;\nNo other variables can be derived from V180183;\n\nNow we have done all the calculations. Derived variables are:\nV180183 = 0;\nV339867 = -1;\n\nNow we have finished this problem. ANSWER:\nV339867\n", "role": "assistant" } ]

[ "V721819" ]

[ { "content": "<context>\nassign V987690 = V727745. assign V734498 = V080440. assign V857031 = V001315. assign V764662 = V778911 + 1. assign V818468 = V836925. assign V926378 = V271873 + 1. assign V743562 = V172012 - 1. assign V644129 = V770393 + 1. assign V229045 = V079957 - 1. assign V368062 = V041054 + 1. assign V783276 = V778911. assign V839661 = V229045 - 1. assign V820031 = V644129. assign V177797 = V770393. assign V291341 = V191170 - 1. assign V286146 = V216447. assign V349959 = V866640. assign V995085 = V839661 - 1. assign V814601 = V041054 - 1. assign V749484 = V743139 + 1. assign V913226 = V271873 - 1. assign V281525 = V456512 - 1. assign V727339 = V839661 + 1. assign V172012 = V247259 + 1. assign V440196 = V007960. assign V725840 = V004537. assign V338903 = V913233. assign V454534 = V770393 - 1. assign V296985 = V578043 + 1. assign V569201 = 2. assign V299774 = V725840 - 1. assign V281596 = V831197 + 1. assign V688047 = V296985 + 1. assign V287433 = V067035 - 1. assign V532577 = V714705 - 1. assign V217156 = V229045 - 1. assign V411730 = V913233. assign V140284 = V247259. assign V317028 = V455080 + 1. assign V107196 = V088320 - 1. assign V769403 = V282469 + 1. assign V699113 = V916477 - 1. assign V070940 = V664968 + 1. assign V001315 = V281274 - 1. assign V340019 = V271873 + 1. assign V275635 = V011214 + 1. assign V455454 = V725840. assign V980748 = V191170 - 1. assign V191170 = V727339 + 1. assign V769884 = V764662 - 1. assign V037886 = V140284 - 1. assign V866640 = V004537 - 1. assign V041054 = V454534 + 1. assign V913233 = V172221 + 1. assign V908071 = V714705 - 1. assign V600837 = V468311 - 1. assign V054310 = V740135. assign V685915 = V913233 + 1. assign V455080 = V978642 - 1. assign V740135 = V007960 - 1. assign V184452 = V778911. assign V171204 = V651864 - 1. assign V734135 = V041054 - 1. assign V308151 = V067035 - 1. assign V037838 = V938273 - 1. assign V485872 = V340019. assign V451969 = V340019 + 1. assign V877087 = V296985 + 1. assign V406522 = V769884 - 1. assign V067035 = V926378. assign V578330 = V913233 - 1. assign V255748 = V974704. assign V971525 = V826851 - 1. assign V821682 = V727745 - 1. assign V778911 = V247259 + 1. assign V011214 = V140284. assign V047317 = V255748. assign V960382 = V011214 + 1. assign V838708 = V184452. assign V837859 = V299774 - 1. assign V196705 = V454534. assign V831197 = V079957 - 1. assign V365371 = V340019 + 1. assign V342945 = V938273. assign V816230 = V296985. assign V692618 = V299774 - 1. assign V110152 = V706198. assign V826851 = V014324 + 1. assign V636545 = V014324. assign V568058 = V455080. assign V004537 = V247259. assign V509537 = V054310 - 1. assign V578043 = V454534 + 1. assign V027622 = V440196 + 1. assign V254355 = V047153 + 1. assign V566176 = V978642. assign V704455 = V727745 + 1. assign V468311 = V507789. assign V356657 = V247259 - 1. assign V857057 = V311928. assign V014324 = V831197 - 1. assign V378963 = V769403 + 1. assign V811360 = V770393 - 1. assign V916477 = V296985. assign V693518 = V338903 + 1. assign V706198 = V172012 + 1. assign V056546 = V978642 - 1. assign V867788 = V171204 - 1. assign V467458 = V839661 + 1. assign V247259 = V978642 - 1. assign V079957 = V172012 - 1. assign V974704 = V172012. assign V873785 = V150685. assign V754218 = V877087 - 1. assign V646112 = V365371 - 1. assign V992506 = V507707 + 1. assign V248294 = V578043 + 1. assign V770393 = V079957 + 1. assign V616030 = V041054. assign V203954 = V727745 - 1. assign V720665 = V356657 - 1. assign V166777 = V838708. assign V047153 = V365371 + 1. assign V836925 = V229045. assign V410653 = V286146 + 1. assign V087260 = V978642 - 1. assign V714705 = V087260 - 1. assign V483194 = V507707. assign V216447 = V743562. assign V664968 = V778911 + 1. assign V281274 = V172012. assign V088320 = V778911 + 1. assign V456512 = V172012 + 1. assign V938273 = V037886. assign V743139 = V974704 + 1. assign V311928 = V578043 - 1. assign V035760 = V001315 - 1. assign V261693 = V837859 - 1. assign V241148 = V088320 + 1. assign V019102 = V177797. assign V523335 = V196705 - 1. assign V410069 = V247259 + 1. assign V651864 = V004537 - 1. assign V936473 = V913233. assign V063511 = V554023 + 1. assign V978642 = V172221 - 1. assign V740087 = V706198. assign V150685 = V734135 + 1. assign V507789 = V720665. assign V901498 = V001315 - 1. assign V914116 = V451969 + 1. assign V638314 = V734135 - 1. assign V654965 = V229045 + 1. assign V658039 = V638314. assign V523763 = V080440 - 1. assign V554023 = V714705 + 1. assign V721819 = V569201 + 1. assign V271873 = V778911. assign V332576 = V172221. assign V727745 = V004537 - 1. assign V746728 = V938273 - 1. assign V850283 = V467458. assign V789078 = V019102 + 1. assign V282469 = V455454. assign V507707 = V275635. assign V080440 = V866640 - 1. assign V070146 = V714705 + 1. assign V753053 = V839661. assign V007960 = V454534. assign V077082 = V978642 + 1. assign V795495 = V004537 + 1. assign V459593 = V455454.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V987690 = V727745. assign V734498 = V080440. assign V857031 = V001315. assign V764662 = V778911 + 1. assign V818468 = V836925. assign V926378 = V271873 + 1. assign V743562 = V172012 - 1. assign V644129 = V770393 + 1. assign V229045 = V079957 - 1. assign V368062 = V041054 + 1. assign V783276 = V778911. assign V839661 = V229045 - 1. assign V820031 = V644129. assign V177797 = V770393. assign V291341 = V191170 - 1. assign V286146 = V216447. assign V349959 = V866640. assign V995085 = V839661 - 1. assign V814601 = V041054 - 1. assign V749484 = V743139 + 1. assign V913226 = V271873 - 1. assign V281525 = V456512 - 1. assign V727339 = V839661 + 1. assign V172012 = V247259 + 1. assign V440196 = V007960. assign V725840 = V004537. assign V338903 = V913233. assign V454534 = V770393 - 1. assign V296985 = V578043 + 1. assign V569201 = 2. assign V299774 = V725840 - 1. assign V281596 = V831197 + 1. assign V688047 = V296985 + 1. assign V287433 = V067035 - 1. assign V532577 = V714705 - 1. assign V217156 = V229045 - 1. assign V411730 = V913233. assign V140284 = V247259. assign V317028 = V455080 + 1. assign V107196 = V088320 - 1. assign V769403 = V282469 + 1. assign V699113 = V916477 - 1. assign V070940 = V664968 + 1. assign V001315 = V281274 - 1. assign V340019 = V271873 + 1. assign V275635 = V011214 + 1. assign V455454 = V725840. assign V980748 = V191170 - 1. assign V191170 = V727339 + 1. assign V769884 = V764662 - 1. assign V037886 = V140284 - 1. assign V866640 = V004537 - 1. assign V041054 = V454534 + 1. assign V913233 = V172221 + 1. assign V908071 = V714705 - 1. assign V600837 = V468311 - 1. assign V054310 = V740135. assign V685915 = V913233 + 1. assign V455080 = V978642 - 1. assign V740135 = V007960 - 1. assign V184452 = V778911. assign V171204 = V651864 - 1. assign V734135 = V041054 - 1. assign V308151 = V067035 - 1. assign V037838 = V938273 - 1. assign V485872 = V340019. assign V451969 = V340019 + 1. assign V877087 = V296985 + 1. assign V406522 = V769884 - 1. assign V067035 = V926378. assign V578330 = V913233 - 1. assign V255748 = V974704. assign V971525 = V826851 - 1. assign V821682 = V727745 - 1. assign V778911 = V247259 + 1. assign V011214 = V140284. assign V047317 = V255748. assign V960382 = V011214 + 1. assign V838708 = V184452. assign V837859 = V299774 - 1. assign V196705 = V454534. assign V831197 = V079957 - 1. assign V365371 = V340019 + 1. assign V342945 = V938273. assign V816230 = V296985. assign V692618 = V299774 - 1. assign V110152 = V706198. assign V826851 = V014324 + 1. assign V636545 = V014324. assign V568058 = V455080. assign V004537 = V247259. assign V509537 = V054310 - 1. assign V578043 = V454534 + 1. assign V027622 = V440196 + 1. assign V254355 = V047153 + 1. assign V566176 = V978642. assign V704455 = V727745 + 1. assign V468311 = V507789. assign V356657 = V247259 - 1. assign V857057 = V311928. assign V014324 = V831197 - 1. assign V378963 = V769403 + 1. assign V811360 = V770393 - 1. assign V916477 = V296985. assign V693518 = V338903 + 1. assign V706198 = V172012 + 1. assign V056546 = V978642 - 1. assign V867788 = V171204 - 1. assign V467458 = V839661 + 1. assign V247259 = V978642 - 1. assign V079957 = V172012 - 1. assign V974704 = V172012. assign V873785 = V150685. assign V754218 = V877087 - 1. assign V646112 = V365371 - 1. assign V992506 = V507707 + 1. assign V248294 = V578043 + 1. assign V770393 = V079957 + 1. assign V616030 = V041054. assign V203954 = V727745 - 1. assign V720665 = V356657 - 1. assign V166777 = V838708. assign V047153 = V365371 + 1. assign V836925 = V229045. assign V410653 = V286146 + 1. assign V087260 = V978642 - 1. assign V714705 = V087260 - 1. assign V483194 = V507707. assign V216447 = V743562. assign V664968 = V778911 + 1. assign V281274 = V172012. assign V088320 = V778911 + 1. assign V456512 = V172012 + 1. assign V938273 = V037886. assign V743139 = V974704 + 1. assign V311928 = V578043 - 1. assign V035760 = V001315 - 1. assign V261693 = V837859 - 1. assign V241148 = V088320 + 1. assign V019102 = V177797. assign V523335 = V196705 - 1. assign V410069 = V247259 + 1. assign V651864 = V004537 - 1. assign V936473 = V913233. assign V063511 = V554023 + 1. assign V978642 = V172221 - 1. assign V740087 = V706198. assign V150685 = V734135 + 1. assign V507789 = V720665. assign V901498 = V001315 - 1. assign V914116 = V451969 + 1. assign V638314 = V734135 - 1. assign V654965 = V229045 + 1. assign V658039 = V638314. assign V523763 = V080440 - 1. assign V554023 = V714705 + 1. assign V721819 = V569201 + 1. assign V271873 = V778911. assign V332576 = V172221. assign V727745 = V004537 - 1. assign V746728 = V938273 - 1. assign V850283 = V467458. assign V789078 = V019102 + 1. assign V282469 = V455454. assign V507707 = V275635. assign V080440 = V866640 - 1. assign V070146 = V714705 + 1. assign V753053 = V839661. assign V007960 = V454534. assign V077082 = V978642 + 1. assign V795495 = V004537 + 1. assign V459593 = V455454.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV569201 = 2;\n\nFrom these direct assignment(s), we have: \nV721819 = V569201 + 1 = 2 + 1 =3;\nNo other variables can be derived from V721819;\nNo other variables can be derived from V569201;\n\nNow we have done all the calculations. Derived variables are:\nV569201 = 2;\nV721819 = 3;\n\nNow we have finished this problem. ANSWER:\nV721819\n", "role": "assistant" } ]

[ "V754628" ]

[ { "content": "<context>\nassign V987020 = V967353 + 1. assign V309471 = V660605 - 1. assign V079935 = V871788 + 1. assign V574605 = V536312 + 1. assign V418192 = V412806. assign V385985 = V963310. assign V233229 = V280626. assign V063319 = V388902. assign V660605 = V552627 + 1. assign V640337 = V331605 + 1. assign V868966 = V019261 + 1. assign V026341 = V044019 - 1. assign V754628 = V704972 + 1. assign V430151 = V052591. assign V240691 = V305753. assign V872561 = V409544 + 1. assign V704972 = 2. assign V330524 = V410304 - 1. assign V044019 = V077793 + 1. assign V930089 = V320175 + 1. assign V894342 = V040880 + 1. assign V943901 = V486237 - 1. assign V743223 = V384202 + 1. assign V666717 = V820414. assign V855875 = V330824 - 1. assign V641712 = V640337 + 1. assign V456763 = V076574. assign V711605 = V026341 - 1. assign V578456 = V749798 + 1. assign V346688 = V681278 - 1. assign V896128 = V115226. assign V283306 = V749798 + 1. assign V776089 = V344838. assign V883696 = V371547 + 1. assign V869675 = V316591. assign V820414 = V280626 - 1. assign V178304 = V144220 + 1. assign V733863 = V911730 - 1. assign V963310 = V115226 + 1. assign V649131 = V661016. assign V681278 = V019261. assign V630727 = V252330. assign V541628 = V574605. assign V383912 = V776089. assign V331829 = V536312 - 1. assign V280626 = V871788 - 1. assign V453724 = V175032 + 1. assign V115226 = V660605 - 1. assign V454044 = V309471 - 1. assign V889288 = V412806. assign V772232 = V975904. assign V400339 = V280626. assign V388460 = V115226 - 1. assign V556769 = V572451 + 1. assign V076574 = V486513 - 1. assign V297256 = V371547. assign V019261 = V430151 - 1. assign V943915 = V453724 + 1. assign V983736 = V635675 + 1. assign V009947 = V798481. assign V850208 = V233229 + 1. assign V719182 = V144220. assign V499149 = V388902 - 1. assign V276553 = V751068 - 1. assign V384202 = V175032 - 1. assign V320175 = V552627 + 1. assign V330824 = V930089. assign V239177 = V019261 - 1. assign V435303 = V331605 - 1. assign V388307 = V388902 - 1. assign V764246 = V553327. assign V869638 = V052591 - 1. assign V497660 = V798481. assign V947365 = V764246 + 1. assign V672077 = V401382 - 1. assign V961554 = V040880. assign V751068 = V911730 + 1. assign V137121 = V283306 - 1. assign V975904 = V987020 + 1. assign V001367 = V240691 + 1. assign V435983 = V500924 - 1. assign V800782 = V558011 - 1. assign V771974 = V699233 + 1. assign V706108 = V733863. assign V459518 = V370505 - 1. assign V322144 = V366073 - 1. assign V873506 = V660605 - 1. assign V052591 = V873506 + 1. assign V655036 = V453724 - 1. assign V178250 = V323899 + 1. assign V569469 = V019261 - 1. assign V749798 = V344838. assign V925490 = V276553 + 1. assign V779474 = V926864 + 1. assign V081927 = V305753 + 1. assign V225771 = V857965 - 1. assign V410304 = V671067 + 1. assign V832635 = V871788 - 1. assign V491022 = V316591. assign V536312 = V115226 - 1. assign V553327 = V857965. assign V891429 = V052591. assign V953161 = V370505. assign V252330 = V558011 + 1. assign V040880 = V751068 - 1. assign V867562 = V751068 - 1. assign V698566 = V435303 - 1. assign V370505 = V233229 + 1. assign V985713 = V178304 + 1. assign V990600 = V276553. assign V699233 = V280626 + 1. assign V729083 = V115226 + 1. assign V150061 = V889288. assign V622724 = V599005 - 1. assign V671067 = V891429. assign V267816 = V076574. assign V144220 = V552627. assign V409544 = V697755. assign V486513 = V115226 - 1. assign V344838 = V730499 + 1. assign V871788 = V660605 - 1. assign V055395 = V622724. assign V586416 = V316591. assign V331605 = V371547. assign V430709 = V751068 - 1. assign V500924 = V536312. assign V371547 = V660605. assign V316591 = V751068 - 1. assign V911730 = V115226. assign V468078 = V316591 - 1. assign V635675 = V178250. assign V305753 = V730499. assign V401382 = V911730. assign V486237 = V963310 + 1. assign V221188 = V894342 - 1. assign V798481 = V660605. assign V667886 = V412806 + 1. assign V386633 = V040880. assign V668519 = V889288 - 1. assign V813932 = V371547. assign V366073 = V063319 - 1. assign V982153 = V882310 + 1. assign V175032 = V344838 + 1. assign V833496 = V280626. assign V388902 = V305753. assign V323899 = V871788. assign V159528 = V499149 - 1. assign V967353 = V660605 - 1. assign V661016 = V280626 + 1. assign V930851 = V009947 + 1. assign V979612 = V435303 - 1. assign V596813 = V486513 + 1. assign V480567 = V857965 + 1. assign V926864 = V660605. assign V499360 = V871788. assign V412806 = V115226 - 1. assign V478149 = V574605 - 1. assign V124013 = V681278 - 1. assign V882310 = V386633. assign V193101 = V456763. assign V857965 = V500924 + 1. assign V650960 = V486513. assign V020717 = V536312. assign V456387 = V077793 - 1. assign V572451 = V697755. assign V599005 = V178250 + 1. assign V730499 = V660605. assign V852114 = V144220 + 1. assign V077793 = V536312 - 1. assign V787817 = V144220. assign V697755 = V233229 - 1. assign V558011 = V967353.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V987020 = V967353 + 1. assign V309471 = V660605 - 1. assign V079935 = V871788 + 1. assign V574605 = V536312 + 1. assign V418192 = V412806. assign V385985 = V963310. assign V233229 = V280626. assign V063319 = V388902. assign V660605 = V552627 + 1. assign V640337 = V331605 + 1. assign V868966 = V019261 + 1. assign V026341 = V044019 - 1. assign V754628 = V704972 + 1. assign V430151 = V052591. assign V240691 = V305753. assign V872561 = V409544 + 1. assign V704972 = 2. assign V330524 = V410304 - 1. assign V044019 = V077793 + 1. assign V930089 = V320175 + 1. assign V894342 = V040880 + 1. assign V943901 = V486237 - 1. assign V743223 = V384202 + 1. assign V666717 = V820414. assign V855875 = V330824 - 1. assign V641712 = V640337 + 1. assign V456763 = V076574. assign V711605 = V026341 - 1. assign V578456 = V749798 + 1. assign V346688 = V681278 - 1. assign V896128 = V115226. assign V283306 = V749798 + 1. assign V776089 = V344838. assign V883696 = V371547 + 1. assign V869675 = V316591. assign V820414 = V280626 - 1. assign V178304 = V144220 + 1. assign V733863 = V911730 - 1. assign V963310 = V115226 + 1. assign V649131 = V661016. assign V681278 = V019261. assign V630727 = V252330. assign V541628 = V574605. assign V383912 = V776089. assign V331829 = V536312 - 1. assign V280626 = V871788 - 1. assign V453724 = V175032 + 1. assign V115226 = V660605 - 1. assign V454044 = V309471 - 1. assign V889288 = V412806. assign V772232 = V975904. assign V400339 = V280626. assign V388460 = V115226 - 1. assign V556769 = V572451 + 1. assign V076574 = V486513 - 1. assign V297256 = V371547. assign V019261 = V430151 - 1. assign V943915 = V453724 + 1. assign V983736 = V635675 + 1. assign V009947 = V798481. assign V850208 = V233229 + 1. assign V719182 = V144220. assign V499149 = V388902 - 1. assign V276553 = V751068 - 1. assign V384202 = V175032 - 1. assign V320175 = V552627 + 1. assign V330824 = V930089. assign V239177 = V019261 - 1. assign V435303 = V331605 - 1. assign V388307 = V388902 - 1. assign V764246 = V553327. assign V869638 = V052591 - 1. assign V497660 = V798481. assign V947365 = V764246 + 1. assign V672077 = V401382 - 1. assign V961554 = V040880. assign V751068 = V911730 + 1. assign V137121 = V283306 - 1. assign V975904 = V987020 + 1. assign V001367 = V240691 + 1. assign V435983 = V500924 - 1. assign V800782 = V558011 - 1. assign V771974 = V699233 + 1. assign V706108 = V733863. assign V459518 = V370505 - 1. assign V322144 = V366073 - 1. assign V873506 = V660605 - 1. assign V052591 = V873506 + 1. assign V655036 = V453724 - 1. assign V178250 = V323899 + 1. assign V569469 = V019261 - 1. assign V749798 = V344838. assign V925490 = V276553 + 1. assign V779474 = V926864 + 1. assign V081927 = V305753 + 1. assign V225771 = V857965 - 1. assign V410304 = V671067 + 1. assign V832635 = V871788 - 1. assign V491022 = V316591. assign V536312 = V115226 - 1. assign V553327 = V857965. assign V891429 = V052591. assign V953161 = V370505. assign V252330 = V558011 + 1. assign V040880 = V751068 - 1. assign V867562 = V751068 - 1. assign V698566 = V435303 - 1. assign V370505 = V233229 + 1. assign V985713 = V178304 + 1. assign V990600 = V276553. assign V699233 = V280626 + 1. assign V729083 = V115226 + 1. assign V150061 = V889288. assign V622724 = V599005 - 1. assign V671067 = V891429. assign V267816 = V076574. assign V144220 = V552627. assign V409544 = V697755. assign V486513 = V115226 - 1. assign V344838 = V730499 + 1. assign V871788 = V660605 - 1. assign V055395 = V622724. assign V586416 = V316591. assign V331605 = V371547. assign V430709 = V751068 - 1. assign V500924 = V536312. assign V371547 = V660605. assign V316591 = V751068 - 1. assign V911730 = V115226. assign V468078 = V316591 - 1. assign V635675 = V178250. assign V305753 = V730499. assign V401382 = V911730. assign V486237 = V963310 + 1. assign V221188 = V894342 - 1. assign V798481 = V660605. assign V667886 = V412806 + 1. assign V386633 = V040880. assign V668519 = V889288 - 1. assign V813932 = V371547. assign V366073 = V063319 - 1. assign V982153 = V882310 + 1. assign V175032 = V344838 + 1. assign V833496 = V280626. assign V388902 = V305753. assign V323899 = V871788. assign V159528 = V499149 - 1. assign V967353 = V660605 - 1. assign V661016 = V280626 + 1. assign V930851 = V009947 + 1. assign V979612 = V435303 - 1. assign V596813 = V486513 + 1. assign V480567 = V857965 + 1. assign V926864 = V660605. assign V499360 = V871788. assign V412806 = V115226 - 1. assign V478149 = V574605 - 1. assign V124013 = V681278 - 1. assign V882310 = V386633. assign V193101 = V456763. assign V857965 = V500924 + 1. assign V650960 = V486513. assign V020717 = V536312. assign V456387 = V077793 - 1. assign V572451 = V697755. assign V599005 = V178250 + 1. assign V730499 = V660605. assign V852114 = V144220 + 1. assign V077793 = V536312 - 1. assign V787817 = V144220. assign V697755 = V233229 - 1. assign V558011 = V967353.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV704972 = 2;\n\nFrom these direct assignment(s), we have: \nV754628 = V704972 + 1 = 2 + 1 =3;\nNo other variables can be derived from V754628;\nNo other variables can be derived from V704972;\n\nNow we have done all the calculations. Derived variables are:\nV704972 = 2;\nV754628 = 3;\n\nNow we have finished this problem. ANSWER:\nV754628\n", "role": "assistant" } ]

[ "V336434" ]

[ { "content": "<context>\nassign V335566 = V124577. assign V153744 = V973131 + 1. assign V341317 = V608049 - 1. assign V205369 = V255509. assign V921970 = V114804 + 1. assign V748384 = V099909 - 1. assign V397718 = V414582 - 1. assign V288111 = V998979 - 1. assign V419284 = V594490 + 1. assign V857253 = V089099. assign V709139 = V933504 - 1. assign V876312 = V594490 - 1. assign V759770 = V109500 + 1. assign V862340 = V732928 + 1. assign V896244 = V355891 + 1. assign V699800 = V099520 - 1. assign V413353 = V973530 + 1. assign V898557 = V579272 - 1. assign V322381 = V046382. assign V324846 = V876312 - 1. assign V855873 = V584061 + 1. assign V169098 = V255509 - 1. assign V229620 = V303492 - 1. assign V238884 = V483294 - 1. assign V594703 = V897807. assign V594490 = V584061 + 1. assign V302505 = V333859 + 1. assign V973131 = V355891 - 1. assign V099909 = V267052. assign V898158 = V047804 + 1. assign V109500 = V896244 + 1. assign V865635 = V994489 - 1. assign V933504 = V355891. assign V399986 = V255509 - 1. assign V608270 = V022077 - 1. assign V648587 = V534411 + 1. assign V730017 = V998979 + 1. assign V791463 = V101426 - 1. assign V614602 = V267052 - 1. assign V099520 = V931030 - 1. assign V657310 = V594490 - 1. assign V763734 = V582713 - 1. assign V573755 = V109500. assign V054678 = V355891 + 1. assign V331706 = V494874 + 1. assign V956962 = V977772 + 1. assign V891735 = V608049 + 1. assign V154442 = V116940. assign V973530 = V066583 - 1. assign V247065 = V709669 + 1. assign V931030 = V594703. assign V748602 = V933504 + 1. assign V130234 = V998979 - 1. assign V267052 = V153798 - 1. assign V246692 = V389930 + 1. assign V814002 = V302505 - 1. assign V709669 = V413353 + 1. assign V437650 = V114804 - 1. assign V239473 = V288111 - 1. assign V821645 = V484907 - 1. assign V257026 = V933504 - 1. assign V807168 = V153798 - 1. assign V153798 = V355891 + 1. assign V176370 = V114804. assign V024127 = V734907 - 1. assign V766635 = V582713. assign V534411 = V414582 + 1. assign V453871 = V757972 + 1. assign V987329 = V608049 + 1. assign V116940 = V066583 + 1. assign V336434 = V906458 - 1. assign V861093 = V582713 + 1. assign V979020 = V322381 + 1. assign V201090 = V934949. assign V725217 = V312276 - 1. assign V994489 = V390749 - 1. assign V047804 = V414582 + 1. assign V734907 = V046382 + 1. assign V189828 = V297140 - 1. assign V333859 = V072574 + 1. assign V897438 = V898557. assign V584061 = V897807. assign V114804 = V657310 + 1. assign V593050 = V127411 + 1. assign V656764 = V534411 - 1. assign V444450 = V341317. assign V145478 = V730017. assign V124577 = V355891 + 1. assign V101426 = V973530 - 1. assign V234307 = V608049 + 1. assign V390749 = V355891. assign V378174 = V389930 - 1. assign V355891 = V414582 + 1. assign V472861 = V931030 - 1. assign V296771 = V234307. assign V377403 = V099520 + 1. assign V582713 = V891735. assign V264383 = V153798 - 1. assign V973000 = V007685 - 1. assign V193623 = V335566 + 1. assign V127411 = V594703 + 1. assign V906458 = 7. assign V757972 = V876312 + 1. assign V897807 = V483294 - 1. assign V559988 = V380541. assign V312276 = V473418. assign V739800 = V483294 + 1. assign V663145 = V341317 + 1. assign V089099 = V114804 - 1. assign V966676 = V322381 - 1. assign V828356 = V973131. assign V072574 = V608049 + 1. assign V374801 = V876312. assign V450152 = V413353 + 1. assign V175402 = V663145 + 1. assign V297140 = V046382 - 1. assign V857463 = V876312. assign V608049 = V584061 + 1. assign V380541 = V591560 - 1. assign V735141 = V089099 + 1. assign V066583 = V419284 + 1. assign V042483 = V862340 - 1. assign V732928 = V189828 + 1. assign V075175 = V730017 - 1. assign V406604 = V007685 - 1. assign V147968 = V606035 + 1. assign V694306 = V127411 - 1. assign V977772 = V153798 - 1. assign V588919 = V931030. assign V574271 = V579272 - 1. assign V007685 = V099909 - 1. assign V128191 = V413353 + 1. assign V714393 = V341317 + 1. assign V934949 = V024127. assign V931258 = V657310 + 1. assign V389930 = V189828 - 1. assign V808677 = V127411 - 1. assign V998979 = V931258 + 1. assign V390220 = V494874 + 1. assign V202996 = V789553 + 1. assign V022077 = V297140 - 1. assign V473418 = V153798 - 1. assign V884595 = V288111 - 1. assign V606035 = V007685. assign V579272 = V390749 - 1. assign V555627 = V267052 - 1. assign V087027 = V414582 + 1. assign V108831 = V608270 + 1. assign V063684 = V862340 - 1. assign V605793 = V116940 - 1. assign V829554 = V857463 + 1. assign V327372 = V862340 - 1. assign V024648 = V255509. assign V303492 = V046382 - 1. assign V584412 = V024648 + 1. assign V484907 = V472861 - 1. assign V434820 = V891735. assign V326193 = V288111 - 1. assign V046382 = V714393. assign V884444 = V022077. assign V255509 = V054678. assign V017287 = V734350 - 1. assign V046402 = V075175 + 1. assign V029318 = V341317. assign V591560 = V419284. assign V205782 = V931258. assign V734350 = V472861 - 1. assign V372374 = V748602 - 1. assign V483294 = V414582 - 1. assign V789553 = V380541 - 1. assign V494874 = V024648 - 1. assign V016728 = V862340.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V335566 = V124577. assign V153744 = V973131 + 1. assign V341317 = V608049 - 1. assign V205369 = V255509. assign V921970 = V114804 + 1. assign V748384 = V099909 - 1. assign V397718 = V414582 - 1. assign V288111 = V998979 - 1. assign V419284 = V594490 + 1. assign V857253 = V089099. assign V709139 = V933504 - 1. assign V876312 = V594490 - 1. assign V759770 = V109500 + 1. assign V862340 = V732928 + 1. assign V896244 = V355891 + 1. assign V699800 = V099520 - 1. assign V413353 = V973530 + 1. assign V898557 = V579272 - 1. assign V322381 = V046382. assign V324846 = V876312 - 1. assign V855873 = V584061 + 1. assign V169098 = V255509 - 1. assign V229620 = V303492 - 1. assign V238884 = V483294 - 1. assign V594703 = V897807. assign V594490 = V584061 + 1. assign V302505 = V333859 + 1. assign V973131 = V355891 - 1. assign V099909 = V267052. assign V898158 = V047804 + 1. assign V109500 = V896244 + 1. assign V865635 = V994489 - 1. assign V933504 = V355891. assign V399986 = V255509 - 1. assign V608270 = V022077 - 1. assign V648587 = V534411 + 1. assign V730017 = V998979 + 1. assign V791463 = V101426 - 1. assign V614602 = V267052 - 1. assign V099520 = V931030 - 1. assign V657310 = V594490 - 1. assign V763734 = V582713 - 1. assign V573755 = V109500. assign V054678 = V355891 + 1. assign V331706 = V494874 + 1. assign V956962 = V977772 + 1. assign V891735 = V608049 + 1. assign V154442 = V116940. assign V973530 = V066583 - 1. assign V247065 = V709669 + 1. assign V931030 = V594703. assign V748602 = V933504 + 1. assign V130234 = V998979 - 1. assign V267052 = V153798 - 1. assign V246692 = V389930 + 1. assign V814002 = V302505 - 1. assign V709669 = V413353 + 1. assign V437650 = V114804 - 1. assign V239473 = V288111 - 1. assign V821645 = V484907 - 1. assign V257026 = V933504 - 1. assign V807168 = V153798 - 1. assign V153798 = V355891 + 1. assign V176370 = V114804. assign V024127 = V734907 - 1. assign V766635 = V582713. assign V534411 = V414582 + 1. assign V453871 = V757972 + 1. assign V987329 = V608049 + 1. assign V116940 = V066583 + 1. assign V336434 = V906458 - 1. assign V861093 = V582713 + 1. assign V979020 = V322381 + 1. assign V201090 = V934949. assign V725217 = V312276 - 1. assign V994489 = V390749 - 1. assign V047804 = V414582 + 1. assign V734907 = V046382 + 1. assign V189828 = V297140 - 1. assign V333859 = V072574 + 1. assign V897438 = V898557. assign V584061 = V897807. assign V114804 = V657310 + 1. assign V593050 = V127411 + 1. assign V656764 = V534411 - 1. assign V444450 = V341317. assign V145478 = V730017. assign V124577 = V355891 + 1. assign V101426 = V973530 - 1. assign V234307 = V608049 + 1. assign V390749 = V355891. assign V378174 = V389930 - 1. assign V355891 = V414582 + 1. assign V472861 = V931030 - 1. assign V296771 = V234307. assign V377403 = V099520 + 1. assign V582713 = V891735. assign V264383 = V153798 - 1. assign V973000 = V007685 - 1. assign V193623 = V335566 + 1. assign V127411 = V594703 + 1. assign V906458 = 7. assign V757972 = V876312 + 1. assign V897807 = V483294 - 1. assign V559988 = V380541. assign V312276 = V473418. assign V739800 = V483294 + 1. assign V663145 = V341317 + 1. assign V089099 = V114804 - 1. assign V966676 = V322381 - 1. assign V828356 = V973131. assign V072574 = V608049 + 1. assign V374801 = V876312. assign V450152 = V413353 + 1. assign V175402 = V663145 + 1. assign V297140 = V046382 - 1. assign V857463 = V876312. assign V608049 = V584061 + 1. assign V380541 = V591560 - 1. assign V735141 = V089099 + 1. assign V066583 = V419284 + 1. assign V042483 = V862340 - 1. assign V732928 = V189828 + 1. assign V075175 = V730017 - 1. assign V406604 = V007685 - 1. assign V147968 = V606035 + 1. assign V694306 = V127411 - 1. assign V977772 = V153798 - 1. assign V588919 = V931030. assign V574271 = V579272 - 1. assign V007685 = V099909 - 1. assign V128191 = V413353 + 1. assign V714393 = V341317 + 1. assign V934949 = V024127. assign V931258 = V657310 + 1. assign V389930 = V189828 - 1. assign V808677 = V127411 - 1. assign V998979 = V931258 + 1. assign V390220 = V494874 + 1. assign V202996 = V789553 + 1. assign V022077 = V297140 - 1. assign V473418 = V153798 - 1. assign V884595 = V288111 - 1. assign V606035 = V007685. assign V579272 = V390749 - 1. assign V555627 = V267052 - 1. assign V087027 = V414582 + 1. assign V108831 = V608270 + 1. assign V063684 = V862340 - 1. assign V605793 = V116940 - 1. assign V829554 = V857463 + 1. assign V327372 = V862340 - 1. assign V024648 = V255509. assign V303492 = V046382 - 1. assign V584412 = V024648 + 1. assign V484907 = V472861 - 1. assign V434820 = V891735. assign V326193 = V288111 - 1. assign V046382 = V714393. assign V884444 = V022077. assign V255509 = V054678. assign V017287 = V734350 - 1. assign V046402 = V075175 + 1. assign V029318 = V341317. assign V591560 = V419284. assign V205782 = V931258. assign V734350 = V472861 - 1. assign V372374 = V748602 - 1. assign V483294 = V414582 - 1. assign V789553 = V380541 - 1. assign V494874 = V024648 - 1. assign V016728 = V862340.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV906458 = 7;\n\nFrom these direct assignment(s), we have: \nV336434 = V906458 - 1 = 7 - 1 =6;\nNo other variables can be derived from V336434;\nNo other variables can be derived from V906458;\n\nNow we have done all the calculations. Derived variables are:\nV906458 = 7;\nV336434 = 6;\n\nNow we have finished this problem. ANSWER:\nV336434\n", "role": "assistant" } ]

[ "V030785" ]

[ { "content": "<context>\nassign V193679 = V366809. assign V557983 = V194758 + 1. assign V029870 = V366809 - 1. assign V399998 = V916982 + 1. assign V099509 = V842008 - 1. assign V930318 = V916982. assign V665384 = V238910. assign V916982 = V218937 - 1. assign V971894 = V691791 + 1. assign V976045 = V501790. assign V627403 = V746503 + 1. assign V012706 = V147249 + 1. assign V630257 = V044033 - 1. assign V538409 = V594733 - 1. assign V864845 = V774527 - 1. assign V101715 = V194758. assign V798446 = V916982 + 1. assign V015284 = V026857 + 1. assign V833330 = V826486 + 1. assign V983968 = V422089. assign V730468 = V399998 + 1. assign V076884 = V429380. assign V151283 = V440033. assign V180916 = V194758 + 1. assign V755730 = V092234. assign V276799 = V180916. assign V657460 = V784562 - 1. assign V487186 = V763542 + 1. assign V918845 = V436823 - 1. assign V802837 = V138020. assign V774527 = V050164 + 1. assign V138020 = V440033 + 1. assign V691719 = V180916 + 1. assign V212946 = V936089 - 1. assign V065974 = V826486. assign V194758 = V763542 + 1. assign V091315 = V504297 + 1. assign V218937 = V052598 - 1. assign V030785 = V812587 + 1. assign V186421 = V626679 - 1. assign V261537 = V440033. assign V476918 = V626679 - 1. assign V633065 = V218937 - 1. assign V842008 = V193679 + 1. assign V501790 = V916982 - 1. assign V213074 = V065974 + 1. assign V843037 = V042595 + 1. assign V052255 = V213074 - 1. assign V088100 = V366809 + 1. assign V691791 = V748843. assign V442421 = V504297 + 1. assign V631298 = V435144 + 1. assign V435144 = V936089 + 1. assign V877933 = V590196 + 1. assign V215488 = V876736. assign V570207 = V212946. assign V888753 = V193679. assign V327313 = V668611 + 1. assign V667349 = V983035. assign V876058 = V218937. assign V367320 = V590196 + 1. assign V109770 = V833330 + 1. assign V353487 = V138020 + 1. assign V876736 = V218937. assign V668611 = V042595. assign V005877 = V723385. assign V573855 = V276799 + 1. assign V429380 = V218937. assign V893205 = V916982 - 1. assign V371781 = V574995. assign V722811 = V815318 + 1. assign V815432 = V098665 + 1. assign V354677 = V893205. assign V987874 = V066470. assign V098665 = V044033 - 1. assign V968647 = V668611 - 1. assign V688539 = V180916. assign V429888 = V180916. assign V666743 = V109770. assign V649244 = V876736 - 1. assign V078260 = V041529. assign V395463 = V826486. assign V098340 = V092234. assign V784562 = V815318 - 1. assign V812553 = V802837 - 1. assign V723385 = V815318. assign V422089 = V815318. assign V840736 = V193679 + 1. assign V421353 = V630257 + 1. assign V812587 = 7. assign V420400 = V627403. assign V121313 = V755730 + 1. assign V825538 = V691791 - 1. assign V774789 = V559364 - 1. assign V459610 = V748843. assign V063921 = V722811. assign V707528 = V476918 + 1. assign V280393 = V050164. assign V296165 = V180916 + 1. assign V094361 = V876058. assign V763542 = V113966 - 1. assign V469841 = V091315 - 1. assign V422983 = V213074 - 1. assign V854965 = V501790. assign V740028 = V238910 - 1. assign V052598 = V440033 + 1. assign V031266 = V691791 + 1. assign V733439 = V083141. assign V278149 = V436823 + 1. assign V366809 = V200150 + 1. assign V574995 = V395463 - 1. assign V729187 = V820458 - 1. assign V042595 = V261537 - 1. assign V849532 = V050164 + 1. assign V504297 = V395463 - 1. assign V041529 = V091315 + 1. assign V559364 = V212946 + 1. assign V095024 = V261537 + 1. assign V159336 = V976045. assign V255814 = V630257. assign V717431 = V763542 + 1. assign V182510 = V192689 + 1. assign V050164 = V936089 - 1. assign V238910 = V212946 - 1. assign V590196 = V668611 + 1. assign V178431 = V774789 - 1. assign V200150 = V504297 + 1. assign V847807 = V213074 + 1. assign V546445 = V261537. assign V147249 = V815318. assign V026857 = V042595 + 1. assign V748843 = V113966 - 1. assign V187370 = V192689 + 1. assign V693263 = V440033. assign V440033 = V395463 - 1. assign V132033 = V630257. assign V513839 = V354677. assign V885914 = V627403 + 1. assign V971211 = V918845. assign V436823 = V815318 + 1. assign V083141 = V050164. assign V482684 = V691791 - 1. assign V448703 = V876058 + 1. assign V968805 = V504297 + 1. assign V669443 = V193679 - 1. assign V687943 = V668611. assign V541585 = V099509 - 1. assign V092234 = V442421 + 1. assign V098030 = V327313 - 1. assign V192689 = V098665 - 1. assign V897574 = V442421 - 1. assign V589498 = V138020. assign V035275 = V688539. assign V815318 = V936089 + 1. assign V594733 = V649244 + 1. assign V936089 = V440033 - 1. assign V130079 = V092234 - 1. assign V260544 = V815318 - 1. assign V456099 = V005877 - 1. assign V591384 = V101715 - 1. assign V113966 = V815318. assign V616073 = V812553 - 1. assign V500376 = V109770 + 1. assign V610723 = V968805 + 1. assign V642489 = V213074. assign V983035 = V633065. assign V746503 = V826486. assign V820458 = V541585 - 1. assign V044033 = V826486 + 1. assign V066470 = V631298. assign V955070 = V864845 + 1. assign V626679 = V212946 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V193679 = V366809. assign V557983 = V194758 + 1. assign V029870 = V366809 - 1. assign V399998 = V916982 + 1. assign V099509 = V842008 - 1. assign V930318 = V916982. assign V665384 = V238910. assign V916982 = V218937 - 1. assign V971894 = V691791 + 1. assign V976045 = V501790. assign V627403 = V746503 + 1. assign V012706 = V147249 + 1. assign V630257 = V044033 - 1. assign V538409 = V594733 - 1. assign V864845 = V774527 - 1. assign V101715 = V194758. assign V798446 = V916982 + 1. assign V015284 = V026857 + 1. assign V833330 = V826486 + 1. assign V983968 = V422089. assign V730468 = V399998 + 1. assign V076884 = V429380. assign V151283 = V440033. assign V180916 = V194758 + 1. assign V755730 = V092234. assign V276799 = V180916. assign V657460 = V784562 - 1. assign V487186 = V763542 + 1. assign V918845 = V436823 - 1. assign V802837 = V138020. assign V774527 = V050164 + 1. assign V138020 = V440033 + 1. assign V691719 = V180916 + 1. assign V212946 = V936089 - 1. assign V065974 = V826486. assign V194758 = V763542 + 1. assign V091315 = V504297 + 1. assign V218937 = V052598 - 1. assign V030785 = V812587 + 1. assign V186421 = V626679 - 1. assign V261537 = V440033. assign V476918 = V626679 - 1. assign V633065 = V218937 - 1. assign V842008 = V193679 + 1. assign V501790 = V916982 - 1. assign V213074 = V065974 + 1. assign V843037 = V042595 + 1. assign V052255 = V213074 - 1. assign V088100 = V366809 + 1. assign V691791 = V748843. assign V442421 = V504297 + 1. assign V631298 = V435144 + 1. assign V435144 = V936089 + 1. assign V877933 = V590196 + 1. assign V215488 = V876736. assign V570207 = V212946. assign V888753 = V193679. assign V327313 = V668611 + 1. assign V667349 = V983035. assign V876058 = V218937. assign V367320 = V590196 + 1. assign V109770 = V833330 + 1. assign V353487 = V138020 + 1. assign V876736 = V218937. assign V668611 = V042595. assign V005877 = V723385. assign V573855 = V276799 + 1. assign V429380 = V218937. assign V893205 = V916982 - 1. assign V371781 = V574995. assign V722811 = V815318 + 1. assign V815432 = V098665 + 1. assign V354677 = V893205. assign V987874 = V066470. assign V098665 = V044033 - 1. assign V968647 = V668611 - 1. assign V688539 = V180916. assign V429888 = V180916. assign V666743 = V109770. assign V649244 = V876736 - 1. assign V078260 = V041529. assign V395463 = V826486. assign V098340 = V092234. assign V784562 = V815318 - 1. assign V812553 = V802837 - 1. assign V723385 = V815318. assign V422089 = V815318. assign V840736 = V193679 + 1. assign V421353 = V630257 + 1. assign V812587 = 7. assign V420400 = V627403. assign V121313 = V755730 + 1. assign V825538 = V691791 - 1. assign V774789 = V559364 - 1. assign V459610 = V748843. assign V063921 = V722811. assign V707528 = V476918 + 1. assign V280393 = V050164. assign V296165 = V180916 + 1. assign V094361 = V876058. assign V763542 = V113966 - 1. assign V469841 = V091315 - 1. assign V422983 = V213074 - 1. assign V854965 = V501790. assign V740028 = V238910 - 1. assign V052598 = V440033 + 1. assign V031266 = V691791 + 1. assign V733439 = V083141. assign V278149 = V436823 + 1. assign V366809 = V200150 + 1. assign V574995 = V395463 - 1. assign V729187 = V820458 - 1. assign V042595 = V261537 - 1. assign V849532 = V050164 + 1. assign V504297 = V395463 - 1. assign V041529 = V091315 + 1. assign V559364 = V212946 + 1. assign V095024 = V261537 + 1. assign V159336 = V976045. assign V255814 = V630257. assign V717431 = V763542 + 1. assign V182510 = V192689 + 1. assign V050164 = V936089 - 1. assign V238910 = V212946 - 1. assign V590196 = V668611 + 1. assign V178431 = V774789 - 1. assign V200150 = V504297 + 1. assign V847807 = V213074 + 1. assign V546445 = V261537. assign V147249 = V815318. assign V026857 = V042595 + 1. assign V748843 = V113966 - 1. assign V187370 = V192689 + 1. assign V693263 = V440033. assign V440033 = V395463 - 1. assign V132033 = V630257. assign V513839 = V354677. assign V885914 = V627403 + 1. assign V971211 = V918845. assign V436823 = V815318 + 1. assign V083141 = V050164. assign V482684 = V691791 - 1. assign V448703 = V876058 + 1. assign V968805 = V504297 + 1. assign V669443 = V193679 - 1. assign V687943 = V668611. assign V541585 = V099509 - 1. assign V092234 = V442421 + 1. assign V098030 = V327313 - 1. assign V192689 = V098665 - 1. assign V897574 = V442421 - 1. assign V589498 = V138020. assign V035275 = V688539. assign V815318 = V936089 + 1. assign V594733 = V649244 + 1. assign V936089 = V440033 - 1. assign V130079 = V092234 - 1. assign V260544 = V815318 - 1. assign V456099 = V005877 - 1. assign V591384 = V101715 - 1. assign V113966 = V815318. assign V616073 = V812553 - 1. assign V500376 = V109770 + 1. assign V610723 = V968805 + 1. assign V642489 = V213074. assign V983035 = V633065. assign V746503 = V826486. assign V820458 = V541585 - 1. assign V044033 = V826486 + 1. assign V066470 = V631298. assign V955070 = V864845 + 1. assign V626679 = V212946 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV812587 = 7;\n\nFrom these direct assignment(s), we have: \nV030785 = V812587 + 1 = 7 + 1 =8;\nNo other variables can be derived from V030785;\nNo other variables can be derived from V812587;\n\nNow we have done all the calculations. Derived variables are:\nV812587 = 7;\nV030785 = 8;\n\nNow we have finished this problem. ANSWER:\nV030785\n", "role": "assistant" } ]

[ "V828062" ]

[ { "content": "<context>\nassign V940794 = V525295 - 1. assign V523660 = V041331 - 1. assign V041331 = V794837 - 1. assign V490455 = V240647 - 1. assign V267010 = V760347 + 1. assign V593707 = V663577. assign V088732 = V308950 + 1. assign V455097 = V316056 - 1. assign V441195 = V791183. assign V914168 = V825025 + 1. assign V743047 = V801137 - 1. assign V157925 = V929689. assign V880477 = V539849. assign V123118 = V037125 + 1. assign V929689 = V199484 + 1. assign V734945 = V985226. assign V763109 = V661388 - 1. assign V911372 = V246453 - 1. assign V002730 = V776248 + 1. assign V308950 = V715578. assign V850120 = V921130. assign V420407 = V523660. assign V077782 = V123118 + 1. assign V747043 = V259374. assign V988053 = V794096 - 1. assign V105230 = V455097 - 1. assign V570014 = V335142. assign V556331 = V715578 + 1. assign V440035 = V495076 + 1. assign V037125 = V971894. assign V825617 = V760347 + 1. assign V601040 = V767097 - 1. assign V246453 = V985226 + 1. assign V293010 = V246453 + 1. assign V791183 = V929689 + 1. assign V825025 = V985226. assign V392481 = V663577 - 1. assign V264636 = V199484 + 1. assign V805705 = V652868 - 1. assign V629655 = V308950 + 1. assign V051131 = V805705 - 1. assign V752156 = V787368 + 1. assign V460633 = V794837 - 1. assign V525295 = V734945 - 1. assign V521146 = V805705 - 1. assign V794353 = V145963. assign V041408 = V794353. assign V488315 = V259374 - 1. assign V972390 = V495076 + 1. assign V707607 = V413424 + 1. assign V827512 = V584725 + 1. assign V316056 = V985226 - 1. assign V861604 = V495076 + 1. assign V159557 = V308950. assign V862669 = V161869 - 1. assign V329147 = V570014. assign V454690 = V972390. assign V113894 = V880719 + 1. assign V760347 = V316056 + 1. assign V635205 = V507331 + 1. assign V787368 = V880477 + 1. assign V114544 = V144686. assign V507331 = V971894 - 1. assign V027751 = 0. assign V880642 = V734945 + 1. assign V539849 = V525295 - 1. assign V391238 = V985226 + 1. assign V298725 = V760347. assign V626410 = V827512 + 1. assign V104702 = V495076. assign V335142 = V668148 + 1. assign V117692 = V539849 - 1. assign V305728 = V915620 - 1. assign V228562 = V450291 + 1. assign V915620 = V968176 + 1. assign V794096 = V117211. assign V403397 = V335142. assign V935677 = V006567. assign V700957 = V825617. assign V787571 = V316056 + 1. assign V536708 = V861604 - 1. assign V699316 = V117692. assign V145963 = V551764 + 1. assign V142892 = V988053 + 1. assign V735200 = V801137 - 1. assign V948165 = V794096 + 1. assign V620371 = V715578 - 1. assign V701256 = V603047 - 1. assign V401228 = V264636 - 1. assign V042489 = V663577 - 1. assign V968176 = V794096 + 1. assign V809320 = V401228. assign V652868 = V246453 + 1. assign V495076 = V985226 - 1. assign V006567 = V041331 + 1. assign V413424 = V580845 + 1. assign V801137 = V593707 + 1. assign V612864 = V488315 - 1. assign V668148 = V392481. assign V288109 = V002730 - 1. assign V828062 = V027751 + 1. assign V510821 = V929689. assign V985226 = V663577 - 1. assign V286520 = V985226 - 1. assign V438365 = V972390 + 1. assign V436064 = V246453 - 1. assign V361715 = V037125. assign V682664 = V042489. assign V801295 = V977638 - 1. assign V661388 = V392481 - 1. assign V946542 = V760347 + 1. assign V960110 = V391238 + 1. assign V659643 = V794096. assign V825463 = V335142. assign V212553 = V117211 - 1. assign V952484 = V825025 - 1. assign V673626 = V403397 - 1. assign V240647 = V488315. assign V562052 = V242832 - 1. assign V509573 = V898666. assign V144686 = V544808 + 1. assign V270222 = V037125. assign V460823 = V776248 + 1. assign V375578 = V635205. assign V659911 = V699316 + 1. assign V450291 = V495076 - 1. assign V910438 = V631875. assign V863109 = V988053 - 1. assign V123745 = V976812 + 1. assign V794837 = V620371 + 1. assign V706171 = V551764 - 1. assign V263699 = V441195. assign V232173 = V104702. assign V898666 = V259374. assign V396724 = V286867. assign V971894 = V668148. assign V105206 = V767097 - 1. assign V199484 = V825025 - 1. assign V286867 = V663577 + 1. assign V767097 = V880719 + 1. assign V921130 = V335142 - 1. assign V446164 = V776248. assign V146292 = V992157. assign V899215 = V952484. assign V180553 = V791183 + 1. assign V580845 = V787368 - 1. assign V259374 = V663577 - 1. assign V397162 = V659643 + 1. assign V275025 = V361715 - 1. assign V793660 = V629655 + 1. assign V977638 = V539849 - 1. assign V880719 = V652868 + 1. assign V441239 = V734945. assign V776248 = V880477 + 1. assign V992157 = V661388 - 1. assign V715578 = V391238. assign V631875 = V246453. assign V117211 = V985226 + 1. assign V522348 = V988053 - 1. assign V935807 = V041331 - 1. assign V544808 = V341304. assign V126285 = V105230. assign V976812 = V706171. assign V281197 = V952484. assign V584725 = V488315. assign V551764 = V436064 + 1. assign V242832 = V495076. assign V603047 = V776248 + 1. assign V282514 = V509573 + 1. assign V423832 = V145963 + 1. assign V161869 = V663577 - 1. assign V341304 = V715578 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V940794 = V525295 - 1. assign V523660 = V041331 - 1. assign V041331 = V794837 - 1. assign V490455 = V240647 - 1. assign V267010 = V760347 + 1. assign V593707 = V663577. assign V088732 = V308950 + 1. assign V455097 = V316056 - 1. assign V441195 = V791183. assign V914168 = V825025 + 1. assign V743047 = V801137 - 1. assign V157925 = V929689. assign V880477 = V539849. assign V123118 = V037125 + 1. assign V929689 = V199484 + 1. assign V734945 = V985226. assign V763109 = V661388 - 1. assign V911372 = V246453 - 1. assign V002730 = V776248 + 1. assign V308950 = V715578. assign V850120 = V921130. assign V420407 = V523660. assign V077782 = V123118 + 1. assign V747043 = V259374. assign V988053 = V794096 - 1. assign V105230 = V455097 - 1. assign V570014 = V335142. assign V556331 = V715578 + 1. assign V440035 = V495076 + 1. assign V037125 = V971894. assign V825617 = V760347 + 1. assign V601040 = V767097 - 1. assign V246453 = V985226 + 1. assign V293010 = V246453 + 1. assign V791183 = V929689 + 1. assign V825025 = V985226. assign V392481 = V663577 - 1. assign V264636 = V199484 + 1. assign V805705 = V652868 - 1. assign V629655 = V308950 + 1. assign V051131 = V805705 - 1. assign V752156 = V787368 + 1. assign V460633 = V794837 - 1. assign V525295 = V734945 - 1. assign V521146 = V805705 - 1. assign V794353 = V145963. assign V041408 = V794353. assign V488315 = V259374 - 1. assign V972390 = V495076 + 1. assign V707607 = V413424 + 1. assign V827512 = V584725 + 1. assign V316056 = V985226 - 1. assign V861604 = V495076 + 1. assign V159557 = V308950. assign V862669 = V161869 - 1. assign V329147 = V570014. assign V454690 = V972390. assign V113894 = V880719 + 1. assign V760347 = V316056 + 1. assign V635205 = V507331 + 1. assign V787368 = V880477 + 1. assign V114544 = V144686. assign V507331 = V971894 - 1. assign V027751 = 0. assign V880642 = V734945 + 1. assign V539849 = V525295 - 1. assign V391238 = V985226 + 1. assign V298725 = V760347. assign V626410 = V827512 + 1. assign V104702 = V495076. assign V335142 = V668148 + 1. assign V117692 = V539849 - 1. assign V305728 = V915620 - 1. assign V228562 = V450291 + 1. assign V915620 = V968176 + 1. assign V794096 = V117211. assign V403397 = V335142. assign V935677 = V006567. assign V700957 = V825617. assign V787571 = V316056 + 1. assign V536708 = V861604 - 1. assign V699316 = V117692. assign V145963 = V551764 + 1. assign V142892 = V988053 + 1. assign V735200 = V801137 - 1. assign V948165 = V794096 + 1. assign V620371 = V715578 - 1. assign V701256 = V603047 - 1. assign V401228 = V264636 - 1. assign V042489 = V663577 - 1. assign V968176 = V794096 + 1. assign V809320 = V401228. assign V652868 = V246453 + 1. assign V495076 = V985226 - 1. assign V006567 = V041331 + 1. assign V413424 = V580845 + 1. assign V801137 = V593707 + 1. assign V612864 = V488315 - 1. assign V668148 = V392481. assign V288109 = V002730 - 1. assign V828062 = V027751 + 1. assign V510821 = V929689. assign V985226 = V663577 - 1. assign V286520 = V985226 - 1. assign V438365 = V972390 + 1. assign V436064 = V246453 - 1. assign V361715 = V037125. assign V682664 = V042489. assign V801295 = V977638 - 1. assign V661388 = V392481 - 1. assign V946542 = V760347 + 1. assign V960110 = V391238 + 1. assign V659643 = V794096. assign V825463 = V335142. assign V212553 = V117211 - 1. assign V952484 = V825025 - 1. assign V673626 = V403397 - 1. assign V240647 = V488315. assign V562052 = V242832 - 1. assign V509573 = V898666. assign V144686 = V544808 + 1. assign V270222 = V037125. assign V460823 = V776248 + 1. assign V375578 = V635205. assign V659911 = V699316 + 1. assign V450291 = V495076 - 1. assign V910438 = V631875. assign V863109 = V988053 - 1. assign V123745 = V976812 + 1. assign V794837 = V620371 + 1. assign V706171 = V551764 - 1. assign V263699 = V441195. assign V232173 = V104702. assign V898666 = V259374. assign V396724 = V286867. assign V971894 = V668148. assign V105206 = V767097 - 1. assign V199484 = V825025 - 1. assign V286867 = V663577 + 1. assign V767097 = V880719 + 1. assign V921130 = V335142 - 1. assign V446164 = V776248. assign V146292 = V992157. assign V899215 = V952484. assign V180553 = V791183 + 1. assign V580845 = V787368 - 1. assign V259374 = V663577 - 1. assign V397162 = V659643 + 1. assign V275025 = V361715 - 1. assign V793660 = V629655 + 1. assign V977638 = V539849 - 1. assign V880719 = V652868 + 1. assign V441239 = V734945. assign V776248 = V880477 + 1. assign V992157 = V661388 - 1. assign V715578 = V391238. assign V631875 = V246453. assign V117211 = V985226 + 1. assign V522348 = V988053 - 1. assign V935807 = V041331 - 1. assign V544808 = V341304. assign V126285 = V105230. assign V976812 = V706171. assign V281197 = V952484. assign V584725 = V488315. assign V551764 = V436064 + 1. assign V242832 = V495076. assign V603047 = V776248 + 1. assign V282514 = V509573 + 1. assign V423832 = V145963 + 1. assign V161869 = V663577 - 1. assign V341304 = V715578 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV027751 = 0;\n\nFrom these direct assignment(s), we have: \nV828062 = V027751 + 1 = 0 + 1 =1;\nNo other variables can be derived from V828062;\nNo other variables can be derived from V027751;\n\nNow we have done all the calculations. Derived variables are:\nV027751 = 0;\nV828062 = 1;\n\nNow we have finished this problem. ANSWER:\nV828062\n", "role": "assistant" } ]

[ "V390086", "V485140" ]

[ { "content": "<context>\nassign V192878 = V481561 + 1. assign V193352 = V838264 + 1. assign V367936 = V594479 - 1. assign V815170 = V687597. assign V066294 = V441751 + 1. assign V485140 = V390086. assign V686566 = V579436 - 1. assign V844659 = V066294 + 1. assign V490336 = V080599. assign V684171 = V788990. assign V360787 = V018148 - 1. assign V615190 = V066294. assign V361186 = V290201 + 1. assign V235645 = V512175 - 1. assign V195208 = V476743 + 1. assign V906174 = V080599 + 1. assign V551491 = V773598 + 1. assign V284708 = V268649 - 1. assign V108080 = V615190. assign V218702 = V954436 + 1. assign V240717 = V080599. assign V814029 = V899803 + 1. assign V815573 = V504921 + 1. assign V746899 = V025077 + 1. assign V679409 = V504921 + 1. assign V294251 = V773598 - 1. assign V434330 = V718295. assign V865221 = V774342. assign V441502 = V240717. assign V224450 = V598997 + 1. assign V390086 = 7. assign V028905 = V438856. assign V838264 = V726433. assign V699672 = V534603 - 1. assign V953219 = V499858 + 1. assign V361543 = V927730 + 1. assign V444421 = V504921 + 1. assign V130684 = V394369 - 1. assign V890794 = V534603. assign V134945 = V853657 + 1. assign V614502 = V935665 + 1. assign V044026 = V925770 - 1. assign V595431 = V529298. assign V579436 = V899803. assign V194938 = V616326 - 1. assign V282585 = V367936 - 1. assign V920175 = V794806. assign V668324 = V401885. assign V288659 = V941590 - 1. assign V169769 = V821339 - 1. assign V287225 = V927730. assign V570781 = V918113. assign V512175 = V164733. assign V025077 = V529389 - 1. assign V904653 = V367936. assign V288393 = V499858 + 1. assign V857434 = V490336 - 1. assign V481561 = V080599 + 1. assign V821339 = V837540 + 1. assign V398852 = V080599 - 1. assign V853657 = V598997. assign V794806 = V134945 - 1. assign V726433 = V398852 - 1. assign V659078 = V955677 + 1. assign V906497 = V687597. assign V925770 = V853657 + 1. assign V529298 = V499858. assign V394369 = V773598. assign V175244 = V066294 + 1. assign V728318 = V797218 - 1. assign V788990 = V360787 - 1. assign V080216 = V728061 - 1. assign V498651 = V162035 - 1. assign V268649 = V594479. assign V145039 = V444421 - 1. assign V793630 = V853657 - 1. assign V628198 = V815573 + 1. assign V162035 = V028905. assign V420319 = V002467. assign V376722 = V489760 - 1. assign V773598 = V066381 + 1. assign V955677 = V164733 - 1. assign V918113 = V837540 + 1. assign V170639 = V080599 - 1. assign V963652 = V990771 - 1. assign V419160 = V184127 + 1. assign V328258 = V594479 + 1. assign V687597 = V568191. assign V534603 = V485738 + 1. assign V989376 = V288393 - 1. assign V438856 = V066381 - 1. assign V892320 = V927730 + 1. assign V837540 = V853657 - 1. assign V049189 = V990771 + 1. assign V241373 = V360787 + 1. assign V089747 = V066381. assign V123390 = V080599 + 1. assign V293121 = V773598. assign V171632 = V906497 - 1. assign V927730 = V906174 - 1. assign V478764 = V481561 + 1. assign V718295 = V438856 - 1. assign V439525 = V529298 + 1. assign V080599 = V899803 + 1. assign V687109 = V293121. assign V212321 = V691996 + 1. assign V003372 = V293121 - 1. assign V326290 = V235645 + 1. assign V713254 = V626885 - 1. assign V344393 = V598997 - 1. assign V318438 = V595431 - 1. assign V164733 = V490336 - 1. assign V233749 = V658160 - 1. assign V658160 = V857434 - 1. assign V568191 = V691996 + 1. assign V267847 = V123390 + 1. assign V373046 = V906174 + 1. assign V774342 = V899803 + 1. assign V295247 = V594479. assign V904427 = V617339. assign V499858 = V398852 + 1. assign V691996 = V401885 - 1. assign V441751 = V398852 + 1. assign V763948 = V941590 - 1. assign V094232 = V284708 - 1. assign V990771 = V499858 + 1. assign V031782 = V568191 - 1. assign V935665 = V773598 + 1. assign V018148 = V398852 + 1. assign V401885 = V398852 + 1. assign V469190 = V031782 + 1. assign V954436 = V853657. assign V104458 = V899803 - 1. assign V598997 = V490336 - 1. assign V314656 = V726433 - 1. assign V617339 = V686566 - 1. assign V476743 = V626885. assign V489760 = V481561. assign V481682 = V444421. assign V752689 = V773598. assign V504921 = V490336. assign V484234 = V293121. assign V968670 = V438856 + 1. assign V279268 = V844659 + 1. assign V616326 = V941590 + 1. assign V340676 = V788990 + 1. assign V184127 = V726433 + 1. assign V002467 = V145039 - 1. assign V298301 = V192878. assign V898775 = V814029 + 1. assign V739178 = V478764 - 1. assign V222734 = V814029 + 1. assign V529389 = V568191. assign V638562 = V918113. assign V921515 = V294251 + 1. assign V290201 = V367936 - 1. assign V941590 = V066381 + 1. assign V283871 = V707319. assign V728061 = V288659 + 1. assign V847940 = V025077 - 1. assign V626885 = V773598 + 1. assign V707319 = V814029 - 1. assign V738561 = V481561 - 1. assign V712993 = V367936 + 1. assign V797218 = V288659 - 1. assign V066381 = V490336 - 1. assign V594479 = V481561. assign V711826 = V298301 + 1. assign V814981 = V498651 - 1. assign V320678 = V499858. assign V201784 = V617339 + 1. assign V485738 = V240717 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V192878 = V481561 + 1. assign V193352 = V838264 + 1. assign V367936 = V594479 - 1. assign V815170 = V687597. assign V066294 = V441751 + 1. assign V485140 = V390086. assign V686566 = V579436 - 1. assign V844659 = V066294 + 1. assign V490336 = V080599. assign V684171 = V788990. assign V360787 = V018148 - 1. assign V615190 = V066294. assign V361186 = V290201 + 1. assign V235645 = V512175 - 1. assign V195208 = V476743 + 1. assign V906174 = V080599 + 1. assign V551491 = V773598 + 1. assign V284708 = V268649 - 1. assign V108080 = V615190. assign V218702 = V954436 + 1. assign V240717 = V080599. assign V814029 = V899803 + 1. assign V815573 = V504921 + 1. assign V746899 = V025077 + 1. assign V679409 = V504921 + 1. assign V294251 = V773598 - 1. assign V434330 = V718295. assign V865221 = V774342. assign V441502 = V240717. assign V224450 = V598997 + 1. assign V390086 = 7. assign V028905 = V438856. assign V838264 = V726433. assign V699672 = V534603 - 1. assign V953219 = V499858 + 1. assign V361543 = V927730 + 1. assign V444421 = V504921 + 1. assign V130684 = V394369 - 1. assign V890794 = V534603. assign V134945 = V853657 + 1. assign V614502 = V935665 + 1. assign V044026 = V925770 - 1. assign V595431 = V529298. assign V579436 = V899803. assign V194938 = V616326 - 1. assign V282585 = V367936 - 1. assign V920175 = V794806. assign V668324 = V401885. assign V288659 = V941590 - 1. assign V169769 = V821339 - 1. assign V287225 = V927730. assign V570781 = V918113. assign V512175 = V164733. assign V025077 = V529389 - 1. assign V904653 = V367936. assign V288393 = V499858 + 1. assign V857434 = V490336 - 1. assign V481561 = V080599 + 1. assign V821339 = V837540 + 1. assign V398852 = V080599 - 1. assign V853657 = V598997. assign V794806 = V134945 - 1. assign V726433 = V398852 - 1. assign V659078 = V955677 + 1. assign V906497 = V687597. assign V925770 = V853657 + 1. assign V529298 = V499858. assign V394369 = V773598. assign V175244 = V066294 + 1. assign V728318 = V797218 - 1. assign V788990 = V360787 - 1. assign V080216 = V728061 - 1. assign V498651 = V162035 - 1. assign V268649 = V594479. assign V145039 = V444421 - 1. assign V793630 = V853657 - 1. assign V628198 = V815573 + 1. assign V162035 = V028905. assign V420319 = V002467. assign V376722 = V489760 - 1. assign V773598 = V066381 + 1. assign V955677 = V164733 - 1. assign V918113 = V837540 + 1. assign V170639 = V080599 - 1. assign V963652 = V990771 - 1. assign V419160 = V184127 + 1. assign V328258 = V594479 + 1. assign V687597 = V568191. assign V534603 = V485738 + 1. assign V989376 = V288393 - 1. assign V438856 = V066381 - 1. assign V892320 = V927730 + 1. assign V837540 = V853657 - 1. assign V049189 = V990771 + 1. assign V241373 = V360787 + 1. assign V089747 = V066381. assign V123390 = V080599 + 1. assign V293121 = V773598. assign V171632 = V906497 - 1. assign V927730 = V906174 - 1. assign V478764 = V481561 + 1. assign V718295 = V438856 - 1. assign V439525 = V529298 + 1. assign V080599 = V899803 + 1. assign V687109 = V293121. assign V212321 = V691996 + 1. assign V003372 = V293121 - 1. assign V326290 = V235645 + 1. assign V713254 = V626885 - 1. assign V344393 = V598997 - 1. assign V318438 = V595431 - 1. assign V164733 = V490336 - 1. assign V233749 = V658160 - 1. assign V658160 = V857434 - 1. assign V568191 = V691996 + 1. assign V267847 = V123390 + 1. assign V373046 = V906174 + 1. assign V774342 = V899803 + 1. assign V295247 = V594479. assign V904427 = V617339. assign V499858 = V398852 + 1. assign V691996 = V401885 - 1. assign V441751 = V398852 + 1. assign V763948 = V941590 - 1. assign V094232 = V284708 - 1. assign V990771 = V499858 + 1. assign V031782 = V568191 - 1. assign V935665 = V773598 + 1. assign V018148 = V398852 + 1. assign V401885 = V398852 + 1. assign V469190 = V031782 + 1. assign V954436 = V853657. assign V104458 = V899803 - 1. assign V598997 = V490336 - 1. assign V314656 = V726433 - 1. assign V617339 = V686566 - 1. assign V476743 = V626885. assign V489760 = V481561. assign V481682 = V444421. assign V752689 = V773598. assign V504921 = V490336. assign V484234 = V293121. assign V968670 = V438856 + 1. assign V279268 = V844659 + 1. assign V616326 = V941590 + 1. assign V340676 = V788990 + 1. assign V184127 = V726433 + 1. assign V002467 = V145039 - 1. assign V298301 = V192878. assign V898775 = V814029 + 1. assign V739178 = V478764 - 1. assign V222734 = V814029 + 1. assign V529389 = V568191. assign V638562 = V918113. assign V921515 = V294251 + 1. assign V290201 = V367936 - 1. assign V941590 = V066381 + 1. assign V283871 = V707319. assign V728061 = V288659 + 1. assign V847940 = V025077 - 1. assign V626885 = V773598 + 1. assign V707319 = V814029 - 1. assign V738561 = V481561 - 1. assign V712993 = V367936 + 1. assign V797218 = V288659 - 1. assign V066381 = V490336 - 1. assign V594479 = V481561. assign V711826 = V298301 + 1. assign V814981 = V498651 - 1. assign V320678 = V499858. assign V201784 = V617339 + 1. assign V485738 = V240717 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV390086 = 7;\n\nFrom these direct assignment(s), we have: \nV485140 = V390086 = 7;\nNo other variables can be derived from V485140;\nNo other variables can be derived from V390086;\n\nNow we have done all the calculations. Derived variables are:\nV390086 = 7;\nV485140 = 7;\n\nNow we have finished this problem. ANSWER:\nV390086, V485140\n", "role": "assistant" } ]

[ "V413918" ]

[ { "content": "<context>\nassign V980724 = V259834 - 1. assign V516050 = V027561. assign V249651 = V545072. assign V120748 = V457527 + 1. assign V677716 = V866405. assign V794681 = V672104. assign V331001 = V428273 + 1. assign V150328 = V903066 - 1. assign V299715 = V136506 + 1. assign V603348 = V116897 - 1. assign V868947 = V171851. assign V171851 = V661427. assign V142770 = V867962. assign V732302 = V733800 + 1. assign V724419 = V575066 + 1. assign V692264 = V799371 - 1. assign V253051 = V589569. assign V457527 = V523434 - 1. assign V683691 = V951538. assign V642939 = V281377 - 1. assign V405132 = V597381. assign V813467 = V977651 - 1. assign V887862 = V977651 + 1. assign V908961 = V389508 - 1. assign V259834 = V888741. assign V565880 = V813467 + 1. assign V253233 = V854380. assign V261343 = V994822 - 1. assign V436068 = V132308. assign V759124 = V837498 - 1. assign V497498 = V994822 - 1. assign V836214 = V259834 + 1. assign V555729 = V545072 + 1. assign V706228 = V865245 - 1. assign V551288 = V259834 - 1. assign V740905 = V484663 - 1. assign V576428 = V692264 + 1. assign V116897 = V420444 + 1. assign V242422 = V474666. assign V132308 = V980724. assign V077767 = V444381. assign V935128 = V603348 - 1. assign V875647 = V661427 - 1. assign V813818 = V116897 + 1. assign V233697 = V259834. assign V431984 = V560340. assign V077221 = V589569 + 1. assign V661939 = V171851 + 1. assign V331237 = V233697 + 1. assign V027561 = V116897 - 1. assign V866405 = V827102. assign V676448 = V643792. assign V542436 = V420444 - 1. assign V473130 = V887862 - 1. assign V314349 = V991406 + 1. assign V863138 = V821248. assign V489442 = V124941 - 1. assign V072666 = V672104 + 1. assign V643792 = V522467 + 1. assign V428358 = V970324. assign V629920 = V405132 - 1. assign V720550 = V418743 + 1. assign V716227 = V022433. assign V056970 = V866405 - 1. assign V212580 = V980724 + 1. assign V155615 = 8. assign V539213 = V908961. assign V705660 = V087082. assign V525701 = V661427 - 1. assign V837498 = V420444 - 1. assign V249012 = V661427 - 1. assign V035957 = V029597 - 1. assign V920714 = V865245 - 1. assign V087082 = V994822. assign V124941 = V603348. assign V507331 = V888266 + 1. assign V451226 = V827102. assign V693930 = V072666. assign V411131 = V315074 - 1. assign V067633 = V970324 + 1. assign V597381 = V431984. assign V365730 = V587394. assign V903066 = V271226 + 1. assign V268404 = V033858 - 1. assign V240783 = V587394 - 1. assign V854380 = V888741. assign V045081 = V314349 - 1. assign V444381 = V551288 + 1. assign V632409 = V389508. assign V977651 = V150087. assign V315074 = V821248 + 1. assign V865405 = V720550 - 1. assign V150087 = V116897. assign V049646 = V733800. assign V994822 = V440541. assign V888266 = V315074 - 1. assign V838119 = V440541 + 1. assign V484908 = V869021 - 1. assign V827102 = V271226 - 1. assign V672104 = V970324 + 1. assign V940608 = V950352. assign V888741 = V821248 - 1. assign V420444 = V868947 + 1. assign V117971 = V150087. assign V704501 = V253233 - 1. assign V318109 = V868947 + 1. assign V589569 = V027561 - 1. assign V523434 = V331001. assign V991406 = V233697 - 1. assign V970324 = V033858 - 1. assign V560340 = V440541 + 1. assign V470556 = V661427 + 1. assign V628016 = V873232 + 1. assign V440541 = V888741 + 1. assign V413918 = V155615 + 1. assign V915924 = V136506. assign V873232 = V444381. assign V474666 = V866405 + 1. assign V136506 = V868947. assign V990351 = V519234. assign V733800 = V821248 - 1. assign V022433 = V150087 + 1. assign V496951 = V560340 + 1. assign V271226 = V420444 + 1. assign V652160 = V589569. assign V947296 = V869021 + 1. assign V681418 = V116897 - 1. assign V559858 = V888741. assign V867962 = V873232 - 1. assign V484663 = V672104 + 1. assign V869021 = V249012. assign V208503 = V233697 - 1. assign V419932 = V887862. assign V587394 = V389508 - 1. assign V389508 = V259834 - 1. assign V318633 = V603348. assign V363274 = V150087 + 1. assign V545072 = V418743. assign V015876 = V865245 + 1. assign V951538 = V271226 + 1. assign V428273 = V444381. assign V065179 = V484663 + 1. assign V547834 = V314349 - 1. assign V964422 = V551288 - 1. assign V125144 = V603348 - 1. assign V090960 = V888741. assign V581748 = V116897 - 1. assign V334099 = V271226 - 1. assign V856995 = V652160 + 1. assign V029597 = V827102 - 1. assign V783892 = V681418 + 1. assign V033858 = V440541 + 1. assign V254128 = V661427. assign V081256 = V628016. assign V278601 = V863138 + 1. assign V418743 = V484908 + 1. assign V974698 = V821248 - 1. assign V522467 = V868947 - 1. assign V121045 = V875647 - 1. assign V799371 = V033858 + 1. assign V081118 = V597381 + 1. assign V578117 = V299715 - 1. assign V106427 = V249012 + 1. assign V372046 = V920714 + 1. assign V142624 = V838119 - 1. assign V950352 = V420444. assign V519234 = V331001. assign V865245 = V542436 + 1. assign V821248 = V171851 + 1. assign V281377 = V865245 + 1. assign V575066 = V420444 - 1. assign V275513 = V681418 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V980724 = V259834 - 1. assign V516050 = V027561. assign V249651 = V545072. assign V120748 = V457527 + 1. assign V677716 = V866405. assign V794681 = V672104. assign V331001 = V428273 + 1. assign V150328 = V903066 - 1. assign V299715 = V136506 + 1. assign V603348 = V116897 - 1. assign V868947 = V171851. assign V171851 = V661427. assign V142770 = V867962. assign V732302 = V733800 + 1. assign V724419 = V575066 + 1. assign V692264 = V799371 - 1. assign V253051 = V589569. assign V457527 = V523434 - 1. assign V683691 = V951538. assign V642939 = V281377 - 1. assign V405132 = V597381. assign V813467 = V977651 - 1. assign V887862 = V977651 + 1. assign V908961 = V389508 - 1. assign V259834 = V888741. assign V565880 = V813467 + 1. assign V253233 = V854380. assign V261343 = V994822 - 1. assign V436068 = V132308. assign V759124 = V837498 - 1. assign V497498 = V994822 - 1. assign V836214 = V259834 + 1. assign V555729 = V545072 + 1. assign V706228 = V865245 - 1. assign V551288 = V259834 - 1. assign V740905 = V484663 - 1. assign V576428 = V692264 + 1. assign V116897 = V420444 + 1. assign V242422 = V474666. assign V132308 = V980724. assign V077767 = V444381. assign V935128 = V603348 - 1. assign V875647 = V661427 - 1. assign V813818 = V116897 + 1. assign V233697 = V259834. assign V431984 = V560340. assign V077221 = V589569 + 1. assign V661939 = V171851 + 1. assign V331237 = V233697 + 1. assign V027561 = V116897 - 1. assign V866405 = V827102. assign V676448 = V643792. assign V542436 = V420444 - 1. assign V473130 = V887862 - 1. assign V314349 = V991406 + 1. assign V863138 = V821248. assign V489442 = V124941 - 1. assign V072666 = V672104 + 1. assign V643792 = V522467 + 1. assign V428358 = V970324. assign V629920 = V405132 - 1. assign V720550 = V418743 + 1. assign V716227 = V022433. assign V056970 = V866405 - 1. assign V212580 = V980724 + 1. assign V155615 = 8. assign V539213 = V908961. assign V705660 = V087082. assign V525701 = V661427 - 1. assign V837498 = V420444 - 1. assign V249012 = V661427 - 1. assign V035957 = V029597 - 1. assign V920714 = V865245 - 1. assign V087082 = V994822. assign V124941 = V603348. assign V507331 = V888266 + 1. assign V451226 = V827102. assign V693930 = V072666. assign V411131 = V315074 - 1. assign V067633 = V970324 + 1. assign V597381 = V431984. assign V365730 = V587394. assign V903066 = V271226 + 1. assign V268404 = V033858 - 1. assign V240783 = V587394 - 1. assign V854380 = V888741. assign V045081 = V314349 - 1. assign V444381 = V551288 + 1. assign V632409 = V389508. assign V977651 = V150087. assign V315074 = V821248 + 1. assign V865405 = V720550 - 1. assign V150087 = V116897. assign V049646 = V733800. assign V994822 = V440541. assign V888266 = V315074 - 1. assign V838119 = V440541 + 1. assign V484908 = V869021 - 1. assign V827102 = V271226 - 1. assign V672104 = V970324 + 1. assign V940608 = V950352. assign V888741 = V821248 - 1. assign V420444 = V868947 + 1. assign V117971 = V150087. assign V704501 = V253233 - 1. assign V318109 = V868947 + 1. assign V589569 = V027561 - 1. assign V523434 = V331001. assign V991406 = V233697 - 1. assign V970324 = V033858 - 1. assign V560340 = V440541 + 1. assign V470556 = V661427 + 1. assign V628016 = V873232 + 1. assign V440541 = V888741 + 1. assign V413918 = V155615 + 1. assign V915924 = V136506. assign V873232 = V444381. assign V474666 = V866405 + 1. assign V136506 = V868947. assign V990351 = V519234. assign V733800 = V821248 - 1. assign V022433 = V150087 + 1. assign V496951 = V560340 + 1. assign V271226 = V420444 + 1. assign V652160 = V589569. assign V947296 = V869021 + 1. assign V681418 = V116897 - 1. assign V559858 = V888741. assign V867962 = V873232 - 1. assign V484663 = V672104 + 1. assign V869021 = V249012. assign V208503 = V233697 - 1. assign V419932 = V887862. assign V587394 = V389508 - 1. assign V389508 = V259834 - 1. assign V318633 = V603348. assign V363274 = V150087 + 1. assign V545072 = V418743. assign V015876 = V865245 + 1. assign V951538 = V271226 + 1. assign V428273 = V444381. assign V065179 = V484663 + 1. assign V547834 = V314349 - 1. assign V964422 = V551288 - 1. assign V125144 = V603348 - 1. assign V090960 = V888741. assign V581748 = V116897 - 1. assign V334099 = V271226 - 1. assign V856995 = V652160 + 1. assign V029597 = V827102 - 1. assign V783892 = V681418 + 1. assign V033858 = V440541 + 1. assign V254128 = V661427. assign V081256 = V628016. assign V278601 = V863138 + 1. assign V418743 = V484908 + 1. assign V974698 = V821248 - 1. assign V522467 = V868947 - 1. assign V121045 = V875647 - 1. assign V799371 = V033858 + 1. assign V081118 = V597381 + 1. assign V578117 = V299715 - 1. assign V106427 = V249012 + 1. assign V372046 = V920714 + 1. assign V142624 = V838119 - 1. assign V950352 = V420444. assign V519234 = V331001. assign V865245 = V542436 + 1. assign V821248 = V171851 + 1. assign V281377 = V865245 + 1. assign V575066 = V420444 - 1. assign V275513 = V681418 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV155615 = 8;\n\nFrom these direct assignment(s), we have: \nV413918 = V155615 + 1 = 8 + 1 =9;\nNo other variables can be derived from V413918;\nNo other variables can be derived from V155615;\n\nNow we have done all the calculations. Derived variables are:\nV155615 = 8;\nV413918 = 9;\n\nNow we have finished this problem. ANSWER:\nV413918\n", "role": "assistant" } ]

[ "V850506" ]

[ { "content": "<context>\nassign V627097 = V518235. assign V569532 = V076915 + 1. assign V488549 = V914652 - 1. assign V929325 = V109634 + 1. assign V412509 = V209555 - 1. assign V116263 = V771870 + 1. assign V209555 = V321890 + 1. assign V431621 = V256597. assign V670046 = V495960 + 1. assign V319531 = V717251 - 1. assign V217305 = V729152 - 1. assign V260187 = V794575 - 1. assign V247054 = V384140 - 1. assign V256171 = V561066. assign V885992 = V153123 + 1. assign V296196 = V284540 + 1. assign V760210 = V394297. assign V400446 = V056663 + 1. assign V877260 = V547901 + 1. assign V200664 = V759311 - 1. assign V959185 = V765189 - 1. assign V701390 = V056663 - 1. assign V981179 = V319531. assign V759547 = V318880. assign V355960 = V717251. assign V073145 = V400446 + 1. assign V292480 = V110572. assign V588375 = V021486 - 1. assign V934616 = V577954. assign V753637 = V845165. assign V206181 = V164418. assign V466221 = V547901 + 1. assign V390835 = V865046 + 1. assign V638618 = V004992. assign V794575 = V164418 - 1. assign V027925 = V642123 - 1. assign V051472 = V041100 - 1. assign V697077 = V714368. assign V080815 = V794422 + 1. assign V963444 = V384140 - 1. assign V298117 = V321890 + 1. assign V187277 = V638618 - 1. assign V041100 = V384140 - 1. assign V321890 = V394297 + 1. assign V256597 = V292480. assign V444295 = V627097 - 1. assign V410242 = V284540 - 1. assign V384140 = V206181. assign V183098 = V771870 + 1. assign V567096 = V786318. assign V714368 = V298117 - 1. assign V414257 = V771870 - 1. assign V672579 = V638618 + 1. assign V402291 = V618789. assign V727536 = V607338 - 1. assign V506345 = V292480. assign V618789 = V786318 + 1. assign V321621 = V174238. assign V152638 = V041100 - 1. assign V208811 = V607338 - 1. assign V765189 = V292480 + 1. assign V326125 = V253246 + 1. assign V318880 = V672579. assign V020009 = V759311. assign V682147 = V638618. assign V076915 = V688621 + 1. assign V729152 = V110572 - 1. assign V720010 = V208811 - 1. assign V513261 = V885992 - 1. assign V610205 = V476694 - 1. assign V892996 = V004992 + 1. assign V109634 = V206181 + 1. assign V607338 = V321890 - 1. assign V589429 = V513261 + 1. assign V532008 = V247054 + 1. assign V978916 = V682147. assign V986357 = V384140. assign V642123 = V701390 + 1. assign V755178 = V394297 - 1. assign V681766 = V109634. assign V688621 = V892996 - 1. assign V961291 = V701390. assign V978668 = V960567 - 1. assign V717251 = V429971. assign V300239 = V794575 + 1. assign V655412 = V929325 - 1. assign V898077 = V755178. assign V960567 = V110572. assign V717201 = V901286. assign V848274 = V495960 - 1. assign V056663 = V547901 - 1. assign V947665 = V609799. assign V207014 = V253246 + 1. assign V156153 = V818299 - 1. assign V606578 = V394297. assign V363587 = V247054 - 1. assign V690777 = V701390 + 1. assign V434797 = V532008 + 1. assign V159767 = V957567 + 1. assign V914652 = V794575 - 1. assign V424932 = V794575. assign V771870 = V547901 + 1. assign V549038 = V811579. assign V110572 = V607338 - 1. assign V939416 = V394297. assign V794422 = V319531. assign V785715 = V786318 + 1. assign V219903 = V174238. assign V950487 = V850506 + 1. assign V850506 = 6. assign V547901 = V394297 + 1. assign V994553 = V110572 - 1. assign V609799 = V569532 + 1. assign V987287 = V478691 - 1. assign V777405 = V981179 + 1. assign V301654 = V518235 - 1. assign V403652 = V743783 + 1. assign V014301 = V638618 + 1. assign V672441 = V532008. assign V467867 = V183098 - 1. assign V021486 = V914652 + 1. assign V253246 = V755178 + 1. assign V957567 = V326125. assign V263725 = V253246 - 1. assign V476694 = V326125 - 1. assign V806320 = V818299 + 1. assign V786318 = V547901 - 1. assign V759311 = V321890. assign V991167 = V914652 - 1. assign V516544 = V547901 + 1. assign V562453 = V344456. assign V880685 = V041100 + 1. assign V429971 = V845165 - 1. assign V577954 = V355960 - 1. assign V811579 = V109634 - 1. assign V495960 = V247054 + 1. assign V260850 = V986357 - 1. assign V279133 = V109634 - 1. assign V004992 = V321890 + 1. assign V153123 = V321890 + 1. assign V554421 = V759311. assign V518235 = V164418 - 1. assign V284540 = V260187. assign V072738 = V759311 + 1. assign V490734 = V701390 - 1. assign V478691 = V690777 - 1. assign V182720 = V569532 - 1. assign V935639 = V207014 - 1. assign V304313 = V116263. assign V743783 = V004992 + 1. assign V174238 = V914652 + 1. assign V221572 = V989444 - 1. assign V765974 = V642123. assign V243215 = V588375 - 1. assign V781635 = V771870 + 1. assign V818299 = V363587 + 1. assign V164418 = V394297. assign V746198 = V765189. assign V089070 = V638618. assign V344456 = V642123. assign V845165 = V164418 + 1. assign V285383 = V825191 + 1. assign V146335 = V547901. assign V825191 = V110572 + 1. assign V027861 = V670046 + 1. assign V865046 = V755178. assign V607394 = V885992 + 1. assign V157929 = V466221 + 1. assign V989444 = V206181. assign V661287 = V495960. assign V901286 = V765974 + 1. assign V561066 = V607338 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V627097 = V518235. assign V569532 = V076915 + 1. assign V488549 = V914652 - 1. assign V929325 = V109634 + 1. assign V412509 = V209555 - 1. assign V116263 = V771870 + 1. assign V209555 = V321890 + 1. assign V431621 = V256597. assign V670046 = V495960 + 1. assign V319531 = V717251 - 1. assign V217305 = V729152 - 1. assign V260187 = V794575 - 1. assign V247054 = V384140 - 1. assign V256171 = V561066. assign V885992 = V153123 + 1. assign V296196 = V284540 + 1. assign V760210 = V394297. assign V400446 = V056663 + 1. assign V877260 = V547901 + 1. assign V200664 = V759311 - 1. assign V959185 = V765189 - 1. assign V701390 = V056663 - 1. assign V981179 = V319531. assign V759547 = V318880. assign V355960 = V717251. assign V073145 = V400446 + 1. assign V292480 = V110572. assign V588375 = V021486 - 1. assign V934616 = V577954. assign V753637 = V845165. assign V206181 = V164418. assign V466221 = V547901 + 1. assign V390835 = V865046 + 1. assign V638618 = V004992. assign V794575 = V164418 - 1. assign V027925 = V642123 - 1. assign V051472 = V041100 - 1. assign V697077 = V714368. assign V080815 = V794422 + 1. assign V963444 = V384140 - 1. assign V298117 = V321890 + 1. assign V187277 = V638618 - 1. assign V041100 = V384140 - 1. assign V321890 = V394297 + 1. assign V256597 = V292480. assign V444295 = V627097 - 1. assign V410242 = V284540 - 1. assign V384140 = V206181. assign V183098 = V771870 + 1. assign V567096 = V786318. assign V714368 = V298117 - 1. assign V414257 = V771870 - 1. assign V672579 = V638618 + 1. assign V402291 = V618789. assign V727536 = V607338 - 1. assign V506345 = V292480. assign V618789 = V786318 + 1. assign V321621 = V174238. assign V152638 = V041100 - 1. assign V208811 = V607338 - 1. assign V765189 = V292480 + 1. assign V326125 = V253246 + 1. assign V318880 = V672579. assign V020009 = V759311. assign V682147 = V638618. assign V076915 = V688621 + 1. assign V729152 = V110572 - 1. assign V720010 = V208811 - 1. assign V513261 = V885992 - 1. assign V610205 = V476694 - 1. assign V892996 = V004992 + 1. assign V109634 = V206181 + 1. assign V607338 = V321890 - 1. assign V589429 = V513261 + 1. assign V532008 = V247054 + 1. assign V978916 = V682147. assign V986357 = V384140. assign V642123 = V701390 + 1. assign V755178 = V394297 - 1. assign V681766 = V109634. assign V688621 = V892996 - 1. assign V961291 = V701390. assign V978668 = V960567 - 1. assign V717251 = V429971. assign V300239 = V794575 + 1. assign V655412 = V929325 - 1. assign V898077 = V755178. assign V960567 = V110572. assign V717201 = V901286. assign V848274 = V495960 - 1. assign V056663 = V547901 - 1. assign V947665 = V609799. assign V207014 = V253246 + 1. assign V156153 = V818299 - 1. assign V606578 = V394297. assign V363587 = V247054 - 1. assign V690777 = V701390 + 1. assign V434797 = V532008 + 1. assign V159767 = V957567 + 1. assign V914652 = V794575 - 1. assign V424932 = V794575. assign V771870 = V547901 + 1. assign V549038 = V811579. assign V110572 = V607338 - 1. assign V939416 = V394297. assign V794422 = V319531. assign V785715 = V786318 + 1. assign V219903 = V174238. assign V950487 = V850506 + 1. assign V850506 = 6. assign V547901 = V394297 + 1. assign V994553 = V110572 - 1. assign V609799 = V569532 + 1. assign V987287 = V478691 - 1. assign V777405 = V981179 + 1. assign V301654 = V518235 - 1. assign V403652 = V743783 + 1. assign V014301 = V638618 + 1. assign V672441 = V532008. assign V467867 = V183098 - 1. assign V021486 = V914652 + 1. assign V253246 = V755178 + 1. assign V957567 = V326125. assign V263725 = V253246 - 1. assign V476694 = V326125 - 1. assign V806320 = V818299 + 1. assign V786318 = V547901 - 1. assign V759311 = V321890. assign V991167 = V914652 - 1. assign V516544 = V547901 + 1. assign V562453 = V344456. assign V880685 = V041100 + 1. assign V429971 = V845165 - 1. assign V577954 = V355960 - 1. assign V811579 = V109634 - 1. assign V495960 = V247054 + 1. assign V260850 = V986357 - 1. assign V279133 = V109634 - 1. assign V004992 = V321890 + 1. assign V153123 = V321890 + 1. assign V554421 = V759311. assign V518235 = V164418 - 1. assign V284540 = V260187. assign V072738 = V759311 + 1. assign V490734 = V701390 - 1. assign V478691 = V690777 - 1. assign V182720 = V569532 - 1. assign V935639 = V207014 - 1. assign V304313 = V116263. assign V743783 = V004992 + 1. assign V174238 = V914652 + 1. assign V221572 = V989444 - 1. assign V765974 = V642123. assign V243215 = V588375 - 1. assign V781635 = V771870 + 1. assign V818299 = V363587 + 1. assign V164418 = V394297. assign V746198 = V765189. assign V089070 = V638618. assign V344456 = V642123. assign V845165 = V164418 + 1. assign V285383 = V825191 + 1. assign V146335 = V547901. assign V825191 = V110572 + 1. assign V027861 = V670046 + 1. assign V865046 = V755178. assign V607394 = V885992 + 1. assign V157929 = V466221 + 1. assign V989444 = V206181. assign V661287 = V495960. assign V901286 = V765974 + 1. assign V561066 = V607338 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV850506 = 6;\n\nFrom these direct assignment(s), we have: \nV950487 = V850506 + 1 = 6 + 1 =7;\nNo other variables can be derived from V950487;\nNo other variables can be derived from V850506;\n\nNow we have done all the calculations. Derived variables are:\nV850506 = 6;\nV950487 = 7;\n\nNow we have finished this problem. ANSWER:\nV850506\n", "role": "assistant" } ]

[ "V622687", "V388277" ]

[ { "content": "<context>\nassign V834254 = V976211 + 1. assign V377888 = V220367. assign V222296 = V294947 - 1. assign V913616 = V336113 - 1. assign V016914 = V511122 + 1. assign V183779 = V631370 - 1. assign V245468 = V800101 + 1. assign V691636 = V647251 - 1. assign V825836 = V019854 - 1. assign V724314 = V520889. assign V800101 = V435766 - 1. assign V054055 = V945810. assign V295485 = V315258 + 1. assign V155637 = V617343 + 1. assign V133839 = V119769. assign V660875 = V720073 + 1. assign V388277 = V622687. assign V893584 = V139270. assign V210513 = V511122 + 1. assign V811329 = V819362. assign V873447 = V174992 - 1. assign V209118 = V234488. assign V979369 = V543348 + 1. assign V114048 = V986163 + 1. assign V019854 = V234154 + 1. assign V866117 = V315258 + 1. assign V525722 = V828232. assign V427744 = V321365. assign V637120 = V881099 + 1. assign V538144 = V227799 + 1. assign V574762 = V016914 + 1. assign V487690 = V723464 - 1. assign V306789 = V119769. assign V568244 = V313698 + 1. assign V374214 = V593066 + 1. assign V243966 = V105549. assign V828908 = V222296 + 1. assign V910670 = V819362. assign V611942 = V209782 + 1. assign V927790 = V189866 + 1. assign V431284 = V631370 + 1. assign V444054 = V817556 - 1. assign V302445 = V945810. assign V874583 = V007912. assign V313698 = V588167. assign V056482 = V225785. assign V639408 = V427744 + 1. assign V359390 = V815913 - 1. assign V409156 = V525684. assign V781513 = V321365 - 1. assign V311619 = V781513 - 1. assign V241035 = V234154 - 1. assign V283555 = V359390 - 1. assign V841026 = V230597. assign V582048 = V927790 - 1. assign V174992 = V004208 - 1. assign V484740 = V614282 + 1. assign V007912 = V227799 + 1. assign V945810 = V819362. assign V173837 = V834254. assign V825773 = V347715. assign V117390 = V852978 - 1. assign V720073 = V315258. assign V450228 = V825836 + 1. assign V881099 = V144512. assign V626252 = V234154. assign V750450 = V841026 - 1. assign V377068 = V538144 - 1. assign V299927 = V374065 - 1. assign V294947 = V304223 + 1. assign V600810 = V626252 + 1. assign V074849 = V061746. assign V976211 = V440231. assign V095346 = V117390 - 1. assign V183281 = V328908. assign V542105 = V038064 - 1. assign V230597 = V828232 - 1. assign V614282 = V660875 - 1. assign V058711 = V230597 + 1. assign V435766 = V234154 - 1. assign V786759 = V934171 + 1. assign V593066 = V660875 + 1. assign V204089 = V283555 + 1. assign V647251 = V815913. assign V819362 = V347715 - 1. assign V220367 = V945810. assign V923692 = V347715 - 1. assign V817556 = V135778 + 1. assign V617343 = V800072 - 1. assign V347715 = V626252 + 1. assign V433720 = V647251 - 1. assign V209782 = V304223 - 1. assign V986163 = V444824. assign V709092 = V913616. assign V227799 = V347715. assign V119769 = V637120 + 1. assign V294731 = V830867 - 1. assign V440231 = V435766 + 1. assign V328210 = V484740. assign V135778 = V427744. assign V185500 = V427744 + 1. assign V422559 = V866117. assign V004208 = V444824. assign V225785 = V520889 - 1. assign V342607 = V227799. assign V876898 = V945810. assign V815913 = V321365 - 1. assign V948648 = V004208 - 1. assign V906048 = V770457 + 1. assign V246097 = V427744 + 1. assign V198922 = V056482 + 1. assign V934171 = V881099. assign V830867 = V004208. assign V189866 = V770457 - 1. assign V449958 = V759247 + 1. assign V864824 = V183779 - 1. assign V105549 = V720073 + 1. assign V800072 = V347715. assign V616704 = V234154. assign V723464 = V626252. assign V108013 = V209118 - 1. assign V328908 = V631370. assign V828232 = V511122 + 1. assign V619359 = V105549 + 1. assign V852978 = V227799. assign V038064 = V444824. assign V234154 = V315258 - 1. assign V364015 = V321365 - 1. assign V699455 = V427744 + 1. assign V622687 = 9. assign V520889 = V800101 + 1. assign V513496 = V183779. assign V527497 = V934171 - 1. assign V234488 = V631370 - 1. assign V919196 = V246097 - 1. assign V336113 = V800101 + 1. assign V543348 = V402577 + 1. assign V850394 = V304223 - 1. assign V156315 = V614282 + 1. assign V129809 = V177184 + 1. assign V321365 = V660875. assign V139270 = V311619 - 1. assign V177184 = V139270 + 1. assign V144512 = V422559. assign V740003 = V520889. assign V061746 = V139270 + 1. assign V525684 = V538144. assign V302670 = V866117. assign V180960 = V433720 + 1. assign V588167 = V315258 + 1. assign V064919 = V825836 - 1. assign V577286 = V209782 - 1. assign V834010 = V374214 + 1. assign V770457 = V328908 + 1. assign V374065 = V433720. assign V511122 = V639408 - 1. assign V759247 = V631370 - 1. assign V444824 = V631370 - 1. assign V402577 = V873447. assign V154345 = V873447 - 1. assign V544698 = V180960. assign V841576 = V800072. assign V631370 = V105549 + 1. assign V304223 = V866117 + 1. assign V554625 = V450228 - 1. assign V500951 = V374065 + 1. assign V591863 = V637120 + 1. assign V868562 = V815913 - 1. assign V820502 = V611942 + 1. assign V779844 = V786759. assign V003511 = V074849 + 1. assign V311125 = V759247 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V834254 = V976211 + 1. assign V377888 = V220367. assign V222296 = V294947 - 1. assign V913616 = V336113 - 1. assign V016914 = V511122 + 1. assign V183779 = V631370 - 1. assign V245468 = V800101 + 1. assign V691636 = V647251 - 1. assign V825836 = V019854 - 1. assign V724314 = V520889. assign V800101 = V435766 - 1. assign V054055 = V945810. assign V295485 = V315258 + 1. assign V155637 = V617343 + 1. assign V133839 = V119769. assign V660875 = V720073 + 1. assign V388277 = V622687. assign V893584 = V139270. assign V210513 = V511122 + 1. assign V811329 = V819362. assign V873447 = V174992 - 1. assign V209118 = V234488. assign V979369 = V543348 + 1. assign V114048 = V986163 + 1. assign V019854 = V234154 + 1. assign V866117 = V315258 + 1. assign V525722 = V828232. assign V427744 = V321365. assign V637120 = V881099 + 1. assign V538144 = V227799 + 1. assign V574762 = V016914 + 1. assign V487690 = V723464 - 1. assign V306789 = V119769. assign V568244 = V313698 + 1. assign V374214 = V593066 + 1. assign V243966 = V105549. assign V828908 = V222296 + 1. assign V910670 = V819362. assign V611942 = V209782 + 1. assign V927790 = V189866 + 1. assign V431284 = V631370 + 1. assign V444054 = V817556 - 1. assign V302445 = V945810. assign V874583 = V007912. assign V313698 = V588167. assign V056482 = V225785. assign V639408 = V427744 + 1. assign V359390 = V815913 - 1. assign V409156 = V525684. assign V781513 = V321365 - 1. assign V311619 = V781513 - 1. assign V241035 = V234154 - 1. assign V283555 = V359390 - 1. assign V841026 = V230597. assign V582048 = V927790 - 1. assign V174992 = V004208 - 1. assign V484740 = V614282 + 1. assign V007912 = V227799 + 1. assign V945810 = V819362. assign V173837 = V834254. assign V825773 = V347715. assign V117390 = V852978 - 1. assign V720073 = V315258. assign V450228 = V825836 + 1. assign V881099 = V144512. assign V626252 = V234154. assign V750450 = V841026 - 1. assign V377068 = V538144 - 1. assign V299927 = V374065 - 1. assign V294947 = V304223 + 1. assign V600810 = V626252 + 1. assign V074849 = V061746. assign V976211 = V440231. assign V095346 = V117390 - 1. assign V183281 = V328908. assign V542105 = V038064 - 1. assign V230597 = V828232 - 1. assign V614282 = V660875 - 1. assign V058711 = V230597 + 1. assign V435766 = V234154 - 1. assign V786759 = V934171 + 1. assign V593066 = V660875 + 1. assign V204089 = V283555 + 1. assign V647251 = V815913. assign V819362 = V347715 - 1. assign V220367 = V945810. assign V923692 = V347715 - 1. assign V817556 = V135778 + 1. assign V617343 = V800072 - 1. assign V347715 = V626252 + 1. assign V433720 = V647251 - 1. assign V209782 = V304223 - 1. assign V986163 = V444824. assign V709092 = V913616. assign V227799 = V347715. assign V119769 = V637120 + 1. assign V294731 = V830867 - 1. assign V440231 = V435766 + 1. assign V328210 = V484740. assign V135778 = V427744. assign V185500 = V427744 + 1. assign V422559 = V866117. assign V004208 = V444824. assign V225785 = V520889 - 1. assign V342607 = V227799. assign V876898 = V945810. assign V815913 = V321365 - 1. assign V948648 = V004208 - 1. assign V906048 = V770457 + 1. assign V246097 = V427744 + 1. assign V198922 = V056482 + 1. assign V934171 = V881099. assign V830867 = V004208. assign V189866 = V770457 - 1. assign V449958 = V759247 + 1. assign V864824 = V183779 - 1. assign V105549 = V720073 + 1. assign V800072 = V347715. assign V616704 = V234154. assign V723464 = V626252. assign V108013 = V209118 - 1. assign V328908 = V631370. assign V828232 = V511122 + 1. assign V619359 = V105549 + 1. assign V852978 = V227799. assign V038064 = V444824. assign V234154 = V315258 - 1. assign V364015 = V321365 - 1. assign V699455 = V427744 + 1. assign V622687 = 9. assign V520889 = V800101 + 1. assign V513496 = V183779. assign V527497 = V934171 - 1. assign V234488 = V631370 - 1. assign V919196 = V246097 - 1. assign V336113 = V800101 + 1. assign V543348 = V402577 + 1. assign V850394 = V304223 - 1. assign V156315 = V614282 + 1. assign V129809 = V177184 + 1. assign V321365 = V660875. assign V139270 = V311619 - 1. assign V177184 = V139270 + 1. assign V144512 = V422559. assign V740003 = V520889. assign V061746 = V139270 + 1. assign V525684 = V538144. assign V302670 = V866117. assign V180960 = V433720 + 1. assign V588167 = V315258 + 1. assign V064919 = V825836 - 1. assign V577286 = V209782 - 1. assign V834010 = V374214 + 1. assign V770457 = V328908 + 1. assign V374065 = V433720. assign V511122 = V639408 - 1. assign V759247 = V631370 - 1. assign V444824 = V631370 - 1. assign V402577 = V873447. assign V154345 = V873447 - 1. assign V544698 = V180960. assign V841576 = V800072. assign V631370 = V105549 + 1. assign V304223 = V866117 + 1. assign V554625 = V450228 - 1. assign V500951 = V374065 + 1. assign V591863 = V637120 + 1. assign V868562 = V815913 - 1. assign V820502 = V611942 + 1. assign V779844 = V786759. assign V003511 = V074849 + 1. assign V311125 = V759247 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV622687 = 9;\n\nFrom these direct assignment(s), we have: \nV388277 = V622687 = 9;\nNo other variables can be derived from V388277;\nNo other variables can be derived from V622687;\n\nNow we have done all the calculations. Derived variables are:\nV622687 = 9;\nV388277 = 9;\n\nNow we have finished this problem. ANSWER:\nV622687, V388277\n", "role": "assistant" } ]

[ "V761411" ]

[ { "content": "<context>\nassign V739686 = V573336. assign V862788 = V198251 - 1. assign V540363 = V075519. assign V229473 = V933230. assign V709911 = V871705 + 1. assign V730337 = V564643 - 1. assign V536632 = V718849 - 1. assign V876598 = V076295. assign V115595 = V701382 - 1. assign V460744 = V881715 - 1. assign V490386 = V321232. assign V891510 = V198251 + 1. assign V731683 = V440714 + 1. assign V237485 = V353006 + 1. assign V067316 = V055850. assign V742832 = V412181 - 1. assign V888479 = V380464. assign V398642 = V147888. assign V496747 = V891510 + 1. assign V090785 = V822154 + 1. assign V368955 = V639520 + 1. assign V829242 = V564643 + 1. assign V863159 = V497725 + 1. assign V268853 = V198251. assign V521374 = V276260 + 1. assign V006584 = V178256 - 1. assign V899160 = V534227 - 1. assign V791512 = V822358. assign V478864 = V705466. assign V276260 = V198251 - 1. assign V700684 = V574558. assign V776361 = V871705. assign V412181 = V731683 - 1. assign V032276 = V287915 - 1. assign V840511 = V915264. assign V758756 = V287915 + 1. assign V701382 = V497725 + 1. assign V400072 = V999173 + 1. assign V698052 = V075519 - 1. assign V629489 = V110089 + 1. assign V981084 = V206345. assign V099275 = V540363 - 1. assign V353006 = V357662 + 1. assign V203016 = V473848 + 1. assign V563444 = V050968 - 1. assign V052566 = V600660 - 1. assign V926850 = V640693. assign V743912 = V710499 + 1. assign V624093 = V018762 + 1. assign V212645 = V534227 + 1. assign V187691 = V822358 + 1. assign V179231 = V701382. assign V626823 = V710499 - 1. assign V055850 = V573513 + 1. assign V941357 = V882025 + 1. assign V827744 = V032276 - 1. assign V192980 = V564643. assign V048608 = V433144. assign V534559 = V353006. assign V321232 = V507873. assign V176939 = V478864. assign V718849 = V750173 + 1. assign V206345 = V791512 - 1. assign V750173 = V438965. assign V433144 = V709911 + 1. assign V822358 = V438965. assign V558991 = V000881. assign V440714 = V124772. assign V380464 = V321232 - 1. assign V986148 = V229473 + 1. assign V521718 = V124772 + 1. assign V198251 = V933230 - 1. assign V557252 = V762842 - 1. assign V443111 = V147888 - 1. assign V982626 = V128162 + 1. assign V573336 = V124772. assign V473848 = V521718. assign V043847 = V237485. assign V076295 = V357068. assign V710499 = V212645 - 1. assign V933230 = V710499 + 1. assign V653477 = V000881. assign V054508 = V871705 - 1. assign V464246 = V018762 - 1. assign V711605 = V006584 - 1. assign V124772 = V000881 + 1. assign V165650 = V018962. assign V110089 = V497725 - 1. assign V507873 = V564643 + 1. assign V333802 = V412181 + 1. assign V018762 = V321232 + 1. assign V815902 = V237485 + 1. assign V075519 = V006584. assign V050968 = V742832 + 1. assign V732598 = V521718 + 1. assign V354722 = V128162. assign V287915 = V147888. assign V293261 = V443111. assign V367253 = V871705 + 1. assign V312061 = V933230 - 1. assign V344791 = V048197 + 1. assign V007950 = V128162 - 1. assign V694966 = V405949 + 1. assign V822154 = V018762 + 1. assign V376002 = V473848 - 1. assign V128162 = V052566. assign V630827 = V926850 + 1. assign V241643 = V067316 - 1. assign V356744 = V932677. assign V048197 = V473848 + 1. assign V178256 = V438965 + 1. assign V762842 = V165650 - 1. assign V013710 = V534227 + 1. assign V534227 = V640693 - 1. assign V915264 = V653477. assign V147888 = V564643. assign V837276 = V190006. assign V882025 = V871705. assign V315463 = V259839 + 1. assign V639520 = V758756 + 1. assign V574558 = V090785 - 1. assign V422835 = V718849 + 1. assign V537090 = V640693. assign V999173 = V443111. assign V846329 = V761411 + 1. assign V871705 = V701382. assign V259839 = V076295. assign V922113 = V710499. assign V033657 = V832742 + 1. assign V731256 = V237485. assign V920496 = V891510 + 1. assign V197698 = V229473 + 1. assign V881715 = V286047 - 1. assign V597178 = V287915 - 1. assign V761411 = 5. assign V727306 = V052566. assign V018962 = V443111 - 1. assign V768645 = V128162 - 1. assign V000881 = V533989. assign V163459 = V018962 - 1. assign V444517 = V440714. assign V158342 = V287915 + 1. assign V357662 = V398642. assign V003845 = V871705. assign V640693 = V440714. assign V282986 = V032276 + 1. assign V497725 = V321232. assign V374981 = V054508 - 1. assign V056418 = V206345. assign V357068 = V055850. assign V832742 = V090785 - 1. assign V324750 = V229473 - 1. assign V932677 = V731683 + 1. assign V190006 = V533989. assign V144346 = V534227 - 1. assign V294400 = V750173 + 1. assign V628280 = V631559 - 1. assign V467022 = V637273. assign V637273 = V190006 - 1. assign V288664 = V321232 - 1. assign V438965 = V440714 - 1. assign V533989 = V147888 + 1. assign V631559 = V822154 + 1. assign V394187 = V357662. assign V427385 = V933230 - 1. assign V073989 = V032276 + 1. assign V705466 = V398642 + 1. assign V573513 = V564643 - 1. assign V600660 = V731683. assign V286047 = V000881 + 1. assign V405949 = V871705 + 1. assign V648818 = V324750.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V739686 = V573336. assign V862788 = V198251 - 1. assign V540363 = V075519. assign V229473 = V933230. assign V709911 = V871705 + 1. assign V730337 = V564643 - 1. assign V536632 = V718849 - 1. assign V876598 = V076295. assign V115595 = V701382 - 1. assign V460744 = V881715 - 1. assign V490386 = V321232. assign V891510 = V198251 + 1. assign V731683 = V440714 + 1. assign V237485 = V353006 + 1. assign V067316 = V055850. assign V742832 = V412181 - 1. assign V888479 = V380464. assign V398642 = V147888. assign V496747 = V891510 + 1. assign V090785 = V822154 + 1. assign V368955 = V639520 + 1. assign V829242 = V564643 + 1. assign V863159 = V497725 + 1. assign V268853 = V198251. assign V521374 = V276260 + 1. assign V006584 = V178256 - 1. assign V899160 = V534227 - 1. assign V791512 = V822358. assign V478864 = V705466. assign V276260 = V198251 - 1. assign V700684 = V574558. assign V776361 = V871705. assign V412181 = V731683 - 1. assign V032276 = V287915 - 1. assign V840511 = V915264. assign V758756 = V287915 + 1. assign V701382 = V497725 + 1. assign V400072 = V999173 + 1. assign V698052 = V075519 - 1. assign V629489 = V110089 + 1. assign V981084 = V206345. assign V099275 = V540363 - 1. assign V353006 = V357662 + 1. assign V203016 = V473848 + 1. assign V563444 = V050968 - 1. assign V052566 = V600660 - 1. assign V926850 = V640693. assign V743912 = V710499 + 1. assign V624093 = V018762 + 1. assign V212645 = V534227 + 1. assign V187691 = V822358 + 1. assign V179231 = V701382. assign V626823 = V710499 - 1. assign V055850 = V573513 + 1. assign V941357 = V882025 + 1. assign V827744 = V032276 - 1. assign V192980 = V564643. assign V048608 = V433144. assign V534559 = V353006. assign V321232 = V507873. assign V176939 = V478864. assign V718849 = V750173 + 1. assign V206345 = V791512 - 1. assign V750173 = V438965. assign V433144 = V709911 + 1. assign V822358 = V438965. assign V558991 = V000881. assign V440714 = V124772. assign V380464 = V321232 - 1. assign V986148 = V229473 + 1. assign V521718 = V124772 + 1. assign V198251 = V933230 - 1. assign V557252 = V762842 - 1. assign V443111 = V147888 - 1. assign V982626 = V128162 + 1. assign V573336 = V124772. assign V473848 = V521718. assign V043847 = V237485. assign V076295 = V357068. assign V710499 = V212645 - 1. assign V933230 = V710499 + 1. assign V653477 = V000881. assign V054508 = V871705 - 1. assign V464246 = V018762 - 1. assign V711605 = V006584 - 1. assign V124772 = V000881 + 1. assign V165650 = V018962. assign V110089 = V497725 - 1. assign V507873 = V564643 + 1. assign V333802 = V412181 + 1. assign V018762 = V321232 + 1. assign V815902 = V237485 + 1. assign V075519 = V006584. assign V050968 = V742832 + 1. assign V732598 = V521718 + 1. assign V354722 = V128162. assign V287915 = V147888. assign V293261 = V443111. assign V367253 = V871705 + 1. assign V312061 = V933230 - 1. assign V344791 = V048197 + 1. assign V007950 = V128162 - 1. assign V694966 = V405949 + 1. assign V822154 = V018762 + 1. assign V376002 = V473848 - 1. assign V128162 = V052566. assign V630827 = V926850 + 1. assign V241643 = V067316 - 1. assign V356744 = V932677. assign V048197 = V473848 + 1. assign V178256 = V438965 + 1. assign V762842 = V165650 - 1. assign V013710 = V534227 + 1. assign V534227 = V640693 - 1. assign V915264 = V653477. assign V147888 = V564643. assign V837276 = V190006. assign V882025 = V871705. assign V315463 = V259839 + 1. assign V639520 = V758756 + 1. assign V574558 = V090785 - 1. assign V422835 = V718849 + 1. assign V537090 = V640693. assign V999173 = V443111. assign V846329 = V761411 + 1. assign V871705 = V701382. assign V259839 = V076295. assign V922113 = V710499. assign V033657 = V832742 + 1. assign V731256 = V237485. assign V920496 = V891510 + 1. assign V197698 = V229473 + 1. assign V881715 = V286047 - 1. assign V597178 = V287915 - 1. assign V761411 = 5. assign V727306 = V052566. assign V018962 = V443111 - 1. assign V768645 = V128162 - 1. assign V000881 = V533989. assign V163459 = V018962 - 1. assign V444517 = V440714. assign V158342 = V287915 + 1. assign V357662 = V398642. assign V003845 = V871705. assign V640693 = V440714. assign V282986 = V032276 + 1. assign V497725 = V321232. assign V374981 = V054508 - 1. assign V056418 = V206345. assign V357068 = V055850. assign V832742 = V090785 - 1. assign V324750 = V229473 - 1. assign V932677 = V731683 + 1. assign V190006 = V533989. assign V144346 = V534227 - 1. assign V294400 = V750173 + 1. assign V628280 = V631559 - 1. assign V467022 = V637273. assign V637273 = V190006 - 1. assign V288664 = V321232 - 1. assign V438965 = V440714 - 1. assign V533989 = V147888 + 1. assign V631559 = V822154 + 1. assign V394187 = V357662. assign V427385 = V933230 - 1. assign V073989 = V032276 + 1. assign V705466 = V398642 + 1. assign V573513 = V564643 - 1. assign V600660 = V731683. assign V286047 = V000881 + 1. assign V405949 = V871705 + 1. assign V648818 = V324750.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV761411 = 5;\n\nFrom these direct assignment(s), we have: \nV846329 = V761411 + 1 = 5 + 1 =6;\nNo other variables can be derived from V846329;\nNo other variables can be derived from V761411;\n\nNow we have done all the calculations. Derived variables are:\nV761411 = 5;\nV846329 = 6;\n\nNow we have finished this problem. ANSWER:\nV761411\n", "role": "assistant" } ]

[ "V120693" ]

[ { "content": "<context>\nassign V158609 = V830460 - 1. assign V373899 = V323059 + 1. assign V185588 = V941837 - 1. assign V145207 = V146866 - 1. assign V040040 = V696214. assign V849797 = V914195 + 1. assign V961139 = V753289 - 1. assign V736544 = V856240 + 1. assign V271334 = V696214 + 1. assign V253184 = V429315 - 1. assign V158651 = V014257 + 1. assign V840251 = V774708 + 1. assign V219446 = V722410 - 1. assign V429315 = V756578 - 1. assign V967698 = V806453. assign V133051 = V360773 + 1. assign V410688 = V139730. assign V552963 = V827702 - 1. assign V303124 = V973429 - 1. assign V973429 = V840251 + 1. assign V406765 = V424702. assign V576553 = V360773 - 1. assign V565381 = V756578 - 1. assign V831075 = V774708. assign V119996 = V995993 + 1. assign V114590 = V991287 - 1. assign V903575 = V360822 - 1. assign V647749 = V014257 + 1. assign V412840 = V202235 - 1. assign V388995 = V213994. assign V515251 = V529505 - 1. assign V642188 = V835992 - 1. assign V774708 = V970048 - 1. assign V843547 = V819259 - 1. assign V558289 = V202235 - 1. assign V211127 = V158651. assign V431686 = V229346 - 1. assign V863145 = V811058. assign V052816 = V442015. assign V753289 = V361044 - 1. assign V940440 = V229346. assign V888194 = V040040. assign V856240 = V911940 + 1. assign V970736 = V424702. assign V818996 = V114590 + 1. assign V212971 = V227590 + 1. assign V541614 = V229346 - 1. assign V580344 = V323059 + 1. assign V460889 = V050060 - 1. assign V418130 = V470281 - 1. assign V970048 = V827702. assign V229346 = V013825 - 1. assign V186677 = V647749 - 1. assign V751260 = V429315 - 1. assign V261496 = V045807. assign V172734 = V991287 + 1. assign V126245 = V576553 + 1. assign V360773 = V361044 + 1. assign V887665 = V312388 + 1. assign V323059 = V207232 + 1. assign V837182 = V565381 + 1. assign V746465 = V605352 - 1. assign V842615 = V119996 + 1. assign V605352 = V970736. assign V321263 = V211127 + 1. assign V222612 = V826719 + 1. assign V013825 = V207232 - 1. assign V907431 = V097624 - 1. assign V227590 = V360773 - 1. assign V213994 = V229346 - 1. assign V648838 = V658528 - 1. assign V540402 = V146866 + 1. assign V673671 = V552963 - 1. assign V279604 = V288697 - 1. assign V560699 = V640773 - 1. assign V953417 = V827702 + 1. assign V360822 = V253184. assign V204182 = V139730 + 1. assign V288697 = V911940. assign V095054 = V442015 - 1. assign V995993 = V826719. assign V226686 = V253184 + 1. assign V709938 = V158609 - 1. assign V050060 = V078327 + 1. assign V502758 = V504570 + 1. assign V289027 = V418130 - 1. assign V535992 = V673671. assign V411190 = V158651. assign V562780 = V014257 + 1. assign V140295 = V078327 - 1. assign V265243 = V970048 - 1. assign V911940 = V312388 + 1. assign V753620 = V957226. assign V410406 = V070987 - 1. assign V953332 = V915854 - 1. assign V282027 = V648838 + 1. assign V470281 = V014257 - 1. assign V473141 = V288697 - 1. assign V830460 = V756578 + 1. assign V424702 = V576553 + 1. assign V585423 = V887665. assign V097624 = V970048 - 1. assign V991287 = V751260 - 1. assign V821232 = V086950. assign V696214 = V840251 - 1. assign V091173 = V253184 + 1. assign V086950 = V070987 - 1. assign V045807 = V806453. assign V289654 = V229346 - 1. assign V123848 = V316575 - 1. assign V957226 = V424702 + 1. assign V806453 = V014257. assign V120693 = 6. assign V946287 = V540402 + 1. assign V899724 = V227590 - 1. assign V082188 = V222612 + 1. assign V941837 = V227590 - 1. assign V112924 = V140295 - 1. assign V018947 = V146866. assign V078327 = V361044 + 1. assign V494595 = V535992. assign V811058 = V504570 + 1. assign V596815 = V821232 + 1. assign V914195 = V353307. assign V756655 = V120693 - 1. assign V825991 = V013825 - 1. assign V746222 = V953332. assign V312388 = V227590 + 1. assign V827702 = V227590. assign V756578 = V227590 + 1. assign V115882 = V253184 - 1. assign V819259 = V289654 + 1. assign V063372 = V086950 - 1. assign V353307 = V903575. assign V336528 = V722410 - 1. assign V658528 = V806453 - 1. assign V228426 = V887665. assign V529505 = V429315 - 1. assign V070987 = V361044 - 1. assign V504570 = V091173 - 1. assign V146195 = V207232. assign V146866 = V146195 + 1. assign V722410 = V424702 + 1. assign V406037 = V133051. assign V399478 = V647749 + 1. assign V207232 = V227590 + 1. assign V835992 = V227590. assign V321303 = V648838 - 1. assign V807466 = V915854. assign V166297 = V418130 + 1. assign V672047 = V970736 + 1. assign V776187 = V827702 + 1. assign V577861 = V827702. assign V557370 = V460889. assign V464775 = V648838. assign V014257 = V576553 - 1. assign V915854 = V673671 + 1. assign V177195 = V360773. assign V600451 = V018947 - 1. assign V568096 = V672047 - 1. assign V442015 = V825991 - 1. assign V625457 = V373899 + 1. assign V640773 = V827702 + 1. assign V115461 = V600451 + 1. assign V224701 = V078327 - 1. assign V316575 = V806453. assign V139730 = V826719 + 1. assign V393569 = V353307 - 1. assign V773944 = V070987. assign V202235 = V091173. assign V489629 = V830460 - 1. assign V826719 = V361044 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V158609 = V830460 - 1. assign V373899 = V323059 + 1. assign V185588 = V941837 - 1. assign V145207 = V146866 - 1. assign V040040 = V696214. assign V849797 = V914195 + 1. assign V961139 = V753289 - 1. assign V736544 = V856240 + 1. assign V271334 = V696214 + 1. assign V253184 = V429315 - 1. assign V158651 = V014257 + 1. assign V840251 = V774708 + 1. assign V219446 = V722410 - 1. assign V429315 = V756578 - 1. assign V967698 = V806453. assign V133051 = V360773 + 1. assign V410688 = V139730. assign V552963 = V827702 - 1. assign V303124 = V973429 - 1. assign V973429 = V840251 + 1. assign V406765 = V424702. assign V576553 = V360773 - 1. assign V565381 = V756578 - 1. assign V831075 = V774708. assign V119996 = V995993 + 1. assign V114590 = V991287 - 1. assign V903575 = V360822 - 1. assign V647749 = V014257 + 1. assign V412840 = V202235 - 1. assign V388995 = V213994. assign V515251 = V529505 - 1. assign V642188 = V835992 - 1. assign V774708 = V970048 - 1. assign V843547 = V819259 - 1. assign V558289 = V202235 - 1. assign V211127 = V158651. assign V431686 = V229346 - 1. assign V863145 = V811058. assign V052816 = V442015. assign V753289 = V361044 - 1. assign V940440 = V229346. assign V888194 = V040040. assign V856240 = V911940 + 1. assign V970736 = V424702. assign V818996 = V114590 + 1. assign V212971 = V227590 + 1. assign V541614 = V229346 - 1. assign V580344 = V323059 + 1. assign V460889 = V050060 - 1. assign V418130 = V470281 - 1. assign V970048 = V827702. assign V229346 = V013825 - 1. assign V186677 = V647749 - 1. assign V751260 = V429315 - 1. assign V261496 = V045807. assign V172734 = V991287 + 1. assign V126245 = V576553 + 1. assign V360773 = V361044 + 1. assign V887665 = V312388 + 1. assign V323059 = V207232 + 1. assign V837182 = V565381 + 1. assign V746465 = V605352 - 1. assign V842615 = V119996 + 1. assign V605352 = V970736. assign V321263 = V211127 + 1. assign V222612 = V826719 + 1. assign V013825 = V207232 - 1. assign V907431 = V097624 - 1. assign V227590 = V360773 - 1. assign V213994 = V229346 - 1. assign V648838 = V658528 - 1. assign V540402 = V146866 + 1. assign V673671 = V552963 - 1. assign V279604 = V288697 - 1. assign V560699 = V640773 - 1. assign V953417 = V827702 + 1. assign V360822 = V253184. assign V204182 = V139730 + 1. assign V288697 = V911940. assign V095054 = V442015 - 1. assign V995993 = V826719. assign V226686 = V253184 + 1. assign V709938 = V158609 - 1. assign V050060 = V078327 + 1. assign V502758 = V504570 + 1. assign V289027 = V418130 - 1. assign V535992 = V673671. assign V411190 = V158651. assign V562780 = V014257 + 1. assign V140295 = V078327 - 1. assign V265243 = V970048 - 1. assign V911940 = V312388 + 1. assign V753620 = V957226. assign V410406 = V070987 - 1. assign V953332 = V915854 - 1. assign V282027 = V648838 + 1. assign V470281 = V014257 - 1. assign V473141 = V288697 - 1. assign V830460 = V756578 + 1. assign V424702 = V576553 + 1. assign V585423 = V887665. assign V097624 = V970048 - 1. assign V991287 = V751260 - 1. assign V821232 = V086950. assign V696214 = V840251 - 1. assign V091173 = V253184 + 1. assign V086950 = V070987 - 1. assign V045807 = V806453. assign V289654 = V229346 - 1. assign V123848 = V316575 - 1. assign V957226 = V424702 + 1. assign V806453 = V014257. assign V120693 = 6. assign V946287 = V540402 + 1. assign V899724 = V227590 - 1. assign V082188 = V222612 + 1. assign V941837 = V227590 - 1. assign V112924 = V140295 - 1. assign V018947 = V146866. assign V078327 = V361044 + 1. assign V494595 = V535992. assign V811058 = V504570 + 1. assign V596815 = V821232 + 1. assign V914195 = V353307. assign V756655 = V120693 - 1. assign V825991 = V013825 - 1. assign V746222 = V953332. assign V312388 = V227590 + 1. assign V827702 = V227590. assign V756578 = V227590 + 1. assign V115882 = V253184 - 1. assign V819259 = V289654 + 1. assign V063372 = V086950 - 1. assign V353307 = V903575. assign V336528 = V722410 - 1. assign V658528 = V806453 - 1. assign V228426 = V887665. assign V529505 = V429315 - 1. assign V070987 = V361044 - 1. assign V504570 = V091173 - 1. assign V146195 = V207232. assign V146866 = V146195 + 1. assign V722410 = V424702 + 1. assign V406037 = V133051. assign V399478 = V647749 + 1. assign V207232 = V227590 + 1. assign V835992 = V227590. assign V321303 = V648838 - 1. assign V807466 = V915854. assign V166297 = V418130 + 1. assign V672047 = V970736 + 1. assign V776187 = V827702 + 1. assign V577861 = V827702. assign V557370 = V460889. assign V464775 = V648838. assign V014257 = V576553 - 1. assign V915854 = V673671 + 1. assign V177195 = V360773. assign V600451 = V018947 - 1. assign V568096 = V672047 - 1. assign V442015 = V825991 - 1. assign V625457 = V373899 + 1. assign V640773 = V827702 + 1. assign V115461 = V600451 + 1. assign V224701 = V078327 - 1. assign V316575 = V806453. assign V139730 = V826719 + 1. assign V393569 = V353307 - 1. assign V773944 = V070987. assign V202235 = V091173. assign V489629 = V830460 - 1. assign V826719 = V361044 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV120693 = 6;\n\nFrom these direct assignment(s), we have: \nV756655 = V120693 - 1 = 6 - 1 =5;\nNo other variables can be derived from V756655;\nNo other variables can be derived from V120693;\n\nNow we have done all the calculations. Derived variables are:\nV120693 = 6;\nV756655 = 5;\n\nNow we have finished this problem. ANSWER:\nV120693\n", "role": "assistant" } ]

[ "V982312" ]

[ { "content": "<context>\nassign V431185 = V791513 - 1. assign V896844 = V719246 + 1. assign V252422 = V147873 + 1. assign V177426 = V008045 + 1. assign V694062 = V096894 - 1. assign V462058 = V459700 + 1. assign V226277 = V034593 - 1. assign V990899 = V613276. assign V929268 = V311585 + 1. assign V698150 = V007122 + 1. assign V357285 = V099399. assign V423692 = V273758. assign V156828 = V459700. assign V966517 = V001895 - 1. assign V871810 = V613276 + 1. assign V482123 = V983945 + 1. assign V546916 = V827637. assign V713367 = V597752 - 1. assign V075772 = V719246 - 1. assign V772864 = V969169 + 1. assign V139470 = V982312 - 1. assign V135314 = V109342 - 1. assign V982312 = 5. assign V155528 = V457089. assign V820118 = V929268 + 1. assign V163411 = V987721 + 1. assign V452790 = V338562. assign V584690 = V526348. assign V907555 = V257691. assign V594907 = V462058 + 1. assign V032554 = V356151 + 1. assign V682177 = V966517 - 1. assign V006729 = V684125 - 1. assign V476283 = V222722. assign V803399 = V597752 + 1. assign V983945 = V006729 - 1. assign V826022 = V001895. assign V942570 = V482123. assign V015109 = V966517 + 1. assign V532939 = V325799 + 1. assign V008045 = V356151. assign V597144 = V034593. assign V042683 = V356045 + 1. assign V969169 = V597752. assign V157657 = V715644 + 1. assign V273758 = V791513 - 1. assign V147873 = V096894 - 1. assign V439691 = V907555. assign V588069 = V156828 - 1. assign V806317 = V010622 + 1. assign V830615 = V357285 - 1. assign V384195 = V753201 - 1. assign V932121 = V588069 + 1. assign V726472 = V007122. assign V526348 = V987721 - 1. assign V782502 = V343660 + 1. assign V953099 = V406136 - 1. assign V314560 = V423692. assign V001895 = V007122 + 1. assign V582093 = V694062. assign V793798 = V007122. assign V325799 = V834812. assign V944183 = V108875 - 1. assign V343660 = V015109. assign V034593 = V726472 + 1. assign V915908 = V613276. assign V798179 = V226277 + 1. assign V597752 = V032554. assign V327270 = V803399. assign V695713 = V273758 - 1. assign V511376 = V222722 + 1. assign V456361 = V482123 + 1. assign V311544 = V719246 - 1. assign V096894 = V511376 + 1. assign V045794 = V393562 + 1. assign V715644 = V575477 + 1. assign V720440 = V670319. assign V222722 = V793798 + 1. assign V576285 = V594907 + 1. assign V406136 = V670319. assign V438722 = V576285 - 1. assign V208837 = V156828. assign V316525 = V803399 - 1. assign V109342 = V801774 - 1. assign V575613 = V178775 - 1. assign V538192 = V032855 + 1. assign V777147 = V588069. assign V951070 = V948767 - 1. assign V309260 = V032554. assign V699028 = V182200. assign V721964 = V007122 - 1. assign V452753 = V702916 + 1. assign V005645 = V356045 - 1. assign V182200 = V791513. assign V032855 = V378767. assign V702916 = V357285 + 1. assign V753193 = V010622. assign V254867 = V953099 - 1. assign V154812 = V621408 + 1. assign V138598 = V008045. assign V987721 = V966517 + 1. assign V621408 = V698150. assign V408565 = V007122 + 1. assign V952992 = V715644. assign V855657 = V699028 - 1. assign V041853 = V357285 - 1. assign V027769 = V684125 - 1. assign V670319 = V753193 + 1. assign V229978 = V431185 - 1. assign V583627 = V932121 + 1. assign V099399 = V698150 - 1. assign V741675 = V791513. assign V422711 = V990899 + 1. assign V016914 = V309260 + 1. assign V760787 = V208837 - 1. assign V801774 = V001895 + 1. assign V292515 = V719246 - 1. assign V457317 = V357285 - 1. assign V478727 = V311585. assign V356151 = V684125 - 1. assign V834812 = V871810. assign V457089 = V431185 + 1. assign V358205 = V915908. assign V807982 = V357285 - 1. assign V719246 = V698150 + 1. assign V010622 = V273758 + 1. assign V007122 = V311585. assign V379468 = V526348 + 1. assign V575477 = V010622 - 1. assign V782913 = V099399. assign V167963 = V693418 + 1. assign V897448 = V006729. assign V753201 = V588069 + 1. assign V151733 = V393562. assign V356045 = V457089. assign V257691 = V693418 + 1. assign V351884 = V983945 - 1. assign V827637 = V708306 + 1. assign V916642 = V457089 + 1. assign V459700 = V966517 - 1. assign V948767 = V222722 + 1. assign V613276 = V034593 - 1. assign V437889 = V010622 - 1. assign V894691 = V457089 - 1. assign V693418 = V007122 - 1. assign V904144 = V719246. assign V708306 = V719246. assign V378767 = V987721 + 1. assign V393562 = V006729 + 1. assign V684125 = V311585. assign V859990 = V459700 + 1. assign V569138 = V309260 + 1. assign V108875 = V478727 + 1. assign V988677 = V482123. assign V338562 = V099399 + 1. assign V252879 = V482123 - 1. assign V104277 = V966517 - 1. assign V112502 = V803399. assign V453578 = V948767 - 1. assign V721826 = V983945 - 1. assign V791513 = V007122 + 1. assign V814087 = V356151 + 1. assign V427684 = V356151 + 1. assign V646799 = V695713 - 1. assign V839742 = V814087 + 1. assign V433894 = V273758 + 1. assign V178775 = V803399 + 1. assign V545498 = V427684 + 1. assign V520210 = V325799 - 1. assign V242598 = V151733 + 1. assign V610174 = V966517 + 1. assign V399388 = V008045 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V431185 = V791513 - 1. assign V896844 = V719246 + 1. assign V252422 = V147873 + 1. assign V177426 = V008045 + 1. assign V694062 = V096894 - 1. assign V462058 = V459700 + 1. assign V226277 = V034593 - 1. assign V990899 = V613276. assign V929268 = V311585 + 1. assign V698150 = V007122 + 1. assign V357285 = V099399. assign V423692 = V273758. assign V156828 = V459700. assign V966517 = V001895 - 1. assign V871810 = V613276 + 1. assign V482123 = V983945 + 1. assign V546916 = V827637. assign V713367 = V597752 - 1. assign V075772 = V719246 - 1. assign V772864 = V969169 + 1. assign V139470 = V982312 - 1. assign V135314 = V109342 - 1. assign V982312 = 5. assign V155528 = V457089. assign V820118 = V929268 + 1. assign V163411 = V987721 + 1. assign V452790 = V338562. assign V584690 = V526348. assign V907555 = V257691. assign V594907 = V462058 + 1. assign V032554 = V356151 + 1. assign V682177 = V966517 - 1. assign V006729 = V684125 - 1. assign V476283 = V222722. assign V803399 = V597752 + 1. assign V983945 = V006729 - 1. assign V826022 = V001895. assign V942570 = V482123. assign V015109 = V966517 + 1. assign V532939 = V325799 + 1. assign V008045 = V356151. assign V597144 = V034593. assign V042683 = V356045 + 1. assign V969169 = V597752. assign V157657 = V715644 + 1. assign V273758 = V791513 - 1. assign V147873 = V096894 - 1. assign V439691 = V907555. assign V588069 = V156828 - 1. assign V806317 = V010622 + 1. assign V830615 = V357285 - 1. assign V384195 = V753201 - 1. assign V932121 = V588069 + 1. assign V726472 = V007122. assign V526348 = V987721 - 1. assign V782502 = V343660 + 1. assign V953099 = V406136 - 1. assign V314560 = V423692. assign V001895 = V007122 + 1. assign V582093 = V694062. assign V793798 = V007122. assign V325799 = V834812. assign V944183 = V108875 - 1. assign V343660 = V015109. assign V034593 = V726472 + 1. assign V915908 = V613276. assign V798179 = V226277 + 1. assign V597752 = V032554. assign V327270 = V803399. assign V695713 = V273758 - 1. assign V511376 = V222722 + 1. assign V456361 = V482123 + 1. assign V311544 = V719246 - 1. assign V096894 = V511376 + 1. assign V045794 = V393562 + 1. assign V715644 = V575477 + 1. assign V720440 = V670319. assign V222722 = V793798 + 1. assign V576285 = V594907 + 1. assign V406136 = V670319. assign V438722 = V576285 - 1. assign V208837 = V156828. assign V316525 = V803399 - 1. assign V109342 = V801774 - 1. assign V575613 = V178775 - 1. assign V538192 = V032855 + 1. assign V777147 = V588069. assign V951070 = V948767 - 1. assign V309260 = V032554. assign V699028 = V182200. assign V721964 = V007122 - 1. assign V452753 = V702916 + 1. assign V005645 = V356045 - 1. assign V182200 = V791513. assign V032855 = V378767. assign V702916 = V357285 + 1. assign V753193 = V010622. assign V254867 = V953099 - 1. assign V154812 = V621408 + 1. assign V138598 = V008045. assign V987721 = V966517 + 1. assign V621408 = V698150. assign V408565 = V007122 + 1. assign V952992 = V715644. assign V855657 = V699028 - 1. assign V041853 = V357285 - 1. assign V027769 = V684125 - 1. assign V670319 = V753193 + 1. assign V229978 = V431185 - 1. assign V583627 = V932121 + 1. assign V099399 = V698150 - 1. assign V741675 = V791513. assign V422711 = V990899 + 1. assign V016914 = V309260 + 1. assign V760787 = V208837 - 1. assign V801774 = V001895 + 1. assign V292515 = V719246 - 1. assign V457317 = V357285 - 1. assign V478727 = V311585. assign V356151 = V684125 - 1. assign V834812 = V871810. assign V457089 = V431185 + 1. assign V358205 = V915908. assign V807982 = V357285 - 1. assign V719246 = V698150 + 1. assign V010622 = V273758 + 1. assign V007122 = V311585. assign V379468 = V526348 + 1. assign V575477 = V010622 - 1. assign V782913 = V099399. assign V167963 = V693418 + 1. assign V897448 = V006729. assign V753201 = V588069 + 1. assign V151733 = V393562. assign V356045 = V457089. assign V257691 = V693418 + 1. assign V351884 = V983945 - 1. assign V827637 = V708306 + 1. assign V916642 = V457089 + 1. assign V459700 = V966517 - 1. assign V948767 = V222722 + 1. assign V613276 = V034593 - 1. assign V437889 = V010622 - 1. assign V894691 = V457089 - 1. assign V693418 = V007122 - 1. assign V904144 = V719246. assign V708306 = V719246. assign V378767 = V987721 + 1. assign V393562 = V006729 + 1. assign V684125 = V311585. assign V859990 = V459700 + 1. assign V569138 = V309260 + 1. assign V108875 = V478727 + 1. assign V988677 = V482123. assign V338562 = V099399 + 1. assign V252879 = V482123 - 1. assign V104277 = V966517 - 1. assign V112502 = V803399. assign V453578 = V948767 - 1. assign V721826 = V983945 - 1. assign V791513 = V007122 + 1. assign V814087 = V356151 + 1. assign V427684 = V356151 + 1. assign V646799 = V695713 - 1. assign V839742 = V814087 + 1. assign V433894 = V273758 + 1. assign V178775 = V803399 + 1. assign V545498 = V427684 + 1. assign V520210 = V325799 - 1. assign V242598 = V151733 + 1. assign V610174 = V966517 + 1. assign V399388 = V008045 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV982312 = 5;\n\nFrom these direct assignment(s), we have: \nV139470 = V982312 - 1 = 5 - 1 =4;\nNo other variables can be derived from V139470;\nNo other variables can be derived from V982312;\n\nNow we have done all the calculations. Derived variables are:\nV982312 = 5;\nV139470 = 4;\n\nNow we have finished this problem. ANSWER:\nV982312\n", "role": "assistant" } ]

[ "V402927", "V014720" ]

[ { "content": "<context>\nassign V661416 = V539605. assign V979777 = V422401 - 1. assign V053538 = V892847. assign V155529 = V189658 + 1. assign V830762 = V990194 + 1. assign V968906 = V981399 - 1. assign V378478 = V082916 - 1. assign V838087 = V892847 - 1. assign V263169 = V454794 - 1. assign V277944 = V053436 - 1. assign V852516 = V740690 - 1. assign V534147 = V807774 - 1. assign V469543 = V932755. assign V666075 = V613490 + 1. assign V259182 = V002131 + 1. assign V822415 = V454794 - 1. assign V413943 = V053436 - 1. assign V337529 = V845429 + 1. assign V928064 = V968906 - 1. assign V853211 = V002131 - 1. assign V172908 = V396306 + 1. assign V408793 = V033390 - 1. assign V715345 = V800044 + 1. assign V567194 = V658410 - 1. assign V736075 = V775418 - 1. assign V684067 = V594873 - 1. assign V700030 = V830762 + 1. assign V840110 = V892847. assign V287225 = V852516 + 1. assign V527678 = V155529. assign V974302 = V287225 - 1. assign V778406 = V053436. assign V402927 = 6. assign V149366 = V613490. assign V775418 = V928064 - 1. assign V432678 = V853211. assign V806604 = V215328. assign V422401 = V775418. assign V033390 = V892847 - 1. assign V017323 = V167150. assign V800044 = V047874 - 1. assign V929637 = V237714 - 1. assign V370953 = V932755 - 1. assign V038929 = V466660 + 1. assign V770892 = V284736. assign V892847 = V002131. assign V994200 = V362460. assign V807774 = V770757. assign V684501 = V389615. assign V730875 = V259182 + 1. assign V395162 = V897243 - 1. assign V926177 = V735030. assign V658410 = V892847 + 1. assign V497087 = V386523 + 1. assign V995257 = V838087 - 1. assign V047874 = V990194 + 1. assign V170117 = V142148 - 1. assign V739992 = V277944 + 1. assign V613490 = V740690. assign V336691 = V849252 + 1. assign V305873 = V730875 + 1. assign V933986 = V613490 + 1. assign V017925 = V566140. assign V608107 = V680955. assign V439131 = V700030 - 1. assign V834575 = V566140 + 1. assign V908233 = V840110 - 1. assign V215328 = V369336 + 1. assign V680955 = V838087 + 1. assign V273049 = V466660. assign V389615 = V665582. assign V142148 = V415372. assign V133739 = V002131 - 1. assign V362460 = V287225. assign V810941 = V666075. assign V354375 = V237714. assign V849252 = V990194 - 1. assign V422244 = V044907 - 1. assign V750003 = V362460 + 1. assign V867640 = V709158. assign V583475 = V709158 + 1. assign V044907 = V047874. assign V188143 = V047874 - 1. assign V770757 = V274133. assign V237714 = V047874 + 1. assign V566140 = V830762. assign V651840 = V358150 - 1. assign V289718 = V583475 - 1. assign V347005 = V740690 + 1. assign V851974 = V017925 - 1. assign V740690 = V033390. assign V687180 = V369336 - 1. assign V343877 = V674506 - 1. assign V800423 = V215328 + 1. assign V284736 = V466660. assign V167150 = V189658. assign V398025 = V658410 - 1. assign V454794 = V033390. assign V905244 = V620158 + 1. assign V140140 = V995257. assign V340508 = V024274. assign V138887 = V067642 - 1. assign V963238 = V189658. assign V707811 = V047874 + 1. assign V780272 = V053436 + 1. assign V505705 = V892847 - 1. assign V132121 = V613490 + 1. assign V674506 = V613490. assign V425946 = V047874 - 1. assign V853918 = V620158 - 1. assign V709158 = V002131 - 1. assign V067642 = V310107 + 1. assign V396306 = V830762. assign V623669 = V017925. assign V725761 = V928064 - 1. assign V990194 = V892847. assign V451667 = V928064 + 1. assign V466660 = V892847 + 1. assign V620158 = V740690 - 1. assign V594873 = V347005 - 1. assign V800682 = V971140 + 1. assign V798004 = V024274. assign V024274 = V002131 + 1. assign V678814 = V237714. assign V505525 = V678814 + 1. assign V208629 = V466660 - 1. assign V358150 = V666075 + 1. assign V363700 = V852516 + 1. assign V061597 = V932755 - 1. assign V867574 = V715345 - 1. assign V932755 = V867640 - 1. assign V478473 = V310107 + 1. assign V053436 = V002131 - 1. assign V129051 = V044907 + 1. assign V587588 = V687180. assign V845429 = V892847 + 1. assign V082916 = V396306 - 1. assign V369336 = V840110 - 1. assign V665582 = V336691 + 1. assign V678591 = V845429. assign V386523 = V877793 + 1. assign V713349 = V928064 - 1. assign V862908 = V047874 + 1. assign V897243 = V505705 - 1. assign V824226 = V425946 + 1. assign V274133 = V336691 + 1. assign V539605 = V363700 + 1. assign V014720 = V402927. assign V971140 = V979777 + 1. assign V563163 = V963238. assign V105246 = V325129 + 1. assign V232692 = V044907 + 1. assign V803095 = V770757 - 1. assign V325129 = V775418 + 1. assign V310107 = V082916 + 1. assign V373920 = V824226. assign V189658 = V047874. assign V449222 = V971140 - 1. assign V020603 = V736075 - 1. assign V415372 = V336691. assign V309899 = V284736 + 1. assign V100145 = V336691 + 1. assign V684661 = V033390 - 1. assign V774305 = V237714 + 1. assign V999298 = V680955 - 1. assign V623583 = V505525 - 1. assign V877793 = V830762 - 1. assign V981399 = V840110 + 1. assign V250286 = V432678 - 1. assign V992394 = V971140. assign V529690 = V674506. assign V735030 = V259182 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V661416 = V539605. assign V979777 = V422401 - 1. assign V053538 = V892847. assign V155529 = V189658 + 1. assign V830762 = V990194 + 1. assign V968906 = V981399 - 1. assign V378478 = V082916 - 1. assign V838087 = V892847 - 1. assign V263169 = V454794 - 1. assign V277944 = V053436 - 1. assign V852516 = V740690 - 1. assign V534147 = V807774 - 1. assign V469543 = V932755. assign V666075 = V613490 + 1. assign V259182 = V002131 + 1. assign V822415 = V454794 - 1. assign V413943 = V053436 - 1. assign V337529 = V845429 + 1. assign V928064 = V968906 - 1. assign V853211 = V002131 - 1. assign V172908 = V396306 + 1. assign V408793 = V033390 - 1. assign V715345 = V800044 + 1. assign V567194 = V658410 - 1. assign V736075 = V775418 - 1. assign V684067 = V594873 - 1. assign V700030 = V830762 + 1. assign V840110 = V892847. assign V287225 = V852516 + 1. assign V527678 = V155529. assign V974302 = V287225 - 1. assign V778406 = V053436. assign V402927 = 6. assign V149366 = V613490. assign V775418 = V928064 - 1. assign V432678 = V853211. assign V806604 = V215328. assign V422401 = V775418. assign V033390 = V892847 - 1. assign V017323 = V167150. assign V800044 = V047874 - 1. assign V929637 = V237714 - 1. assign V370953 = V932755 - 1. assign V038929 = V466660 + 1. assign V770892 = V284736. assign V892847 = V002131. assign V994200 = V362460. assign V807774 = V770757. assign V684501 = V389615. assign V730875 = V259182 + 1. assign V395162 = V897243 - 1. assign V926177 = V735030. assign V658410 = V892847 + 1. assign V497087 = V386523 + 1. assign V995257 = V838087 - 1. assign V047874 = V990194 + 1. assign V170117 = V142148 - 1. assign V739992 = V277944 + 1. assign V613490 = V740690. assign V336691 = V849252 + 1. assign V305873 = V730875 + 1. assign V933986 = V613490 + 1. assign V017925 = V566140. assign V608107 = V680955. assign V439131 = V700030 - 1. assign V834575 = V566140 + 1. assign V908233 = V840110 - 1. assign V215328 = V369336 + 1. assign V680955 = V838087 + 1. assign V273049 = V466660. assign V389615 = V665582. assign V142148 = V415372. assign V133739 = V002131 - 1. assign V362460 = V287225. assign V810941 = V666075. assign V354375 = V237714. assign V849252 = V990194 - 1. assign V422244 = V044907 - 1. assign V750003 = V362460 + 1. assign V867640 = V709158. assign V583475 = V709158 + 1. assign V044907 = V047874. assign V188143 = V047874 - 1. assign V770757 = V274133. assign V237714 = V047874 + 1. assign V566140 = V830762. assign V651840 = V358150 - 1. assign V289718 = V583475 - 1. assign V347005 = V740690 + 1. assign V851974 = V017925 - 1. assign V740690 = V033390. assign V687180 = V369336 - 1. assign V343877 = V674506 - 1. assign V800423 = V215328 + 1. assign V284736 = V466660. assign V167150 = V189658. assign V398025 = V658410 - 1. assign V454794 = V033390. assign V905244 = V620158 + 1. assign V140140 = V995257. assign V340508 = V024274. assign V138887 = V067642 - 1. assign V963238 = V189658. assign V707811 = V047874 + 1. assign V780272 = V053436 + 1. assign V505705 = V892847 - 1. assign V132121 = V613490 + 1. assign V674506 = V613490. assign V425946 = V047874 - 1. assign V853918 = V620158 - 1. assign V709158 = V002131 - 1. assign V067642 = V310107 + 1. assign V396306 = V830762. assign V623669 = V017925. assign V725761 = V928064 - 1. assign V990194 = V892847. assign V451667 = V928064 + 1. assign V466660 = V892847 + 1. assign V620158 = V740690 - 1. assign V594873 = V347005 - 1. assign V800682 = V971140 + 1. assign V798004 = V024274. assign V024274 = V002131 + 1. assign V678814 = V237714. assign V505525 = V678814 + 1. assign V208629 = V466660 - 1. assign V358150 = V666075 + 1. assign V363700 = V852516 + 1. assign V061597 = V932755 - 1. assign V867574 = V715345 - 1. assign V932755 = V867640 - 1. assign V478473 = V310107 + 1. assign V053436 = V002131 - 1. assign V129051 = V044907 + 1. assign V587588 = V687180. assign V845429 = V892847 + 1. assign V082916 = V396306 - 1. assign V369336 = V840110 - 1. assign V665582 = V336691 + 1. assign V678591 = V845429. assign V386523 = V877793 + 1. assign V713349 = V928064 - 1. assign V862908 = V047874 + 1. assign V897243 = V505705 - 1. assign V824226 = V425946 + 1. assign V274133 = V336691 + 1. assign V539605 = V363700 + 1. assign V014720 = V402927. assign V971140 = V979777 + 1. assign V563163 = V963238. assign V105246 = V325129 + 1. assign V232692 = V044907 + 1. assign V803095 = V770757 - 1. assign V325129 = V775418 + 1. assign V310107 = V082916 + 1. assign V373920 = V824226. assign V189658 = V047874. assign V449222 = V971140 - 1. assign V020603 = V736075 - 1. assign V415372 = V336691. assign V309899 = V284736 + 1. assign V100145 = V336691 + 1. assign V684661 = V033390 - 1. assign V774305 = V237714 + 1. assign V999298 = V680955 - 1. assign V623583 = V505525 - 1. assign V877793 = V830762 - 1. assign V981399 = V840110 + 1. assign V250286 = V432678 - 1. assign V992394 = V971140. assign V529690 = V674506. assign V735030 = V259182 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV402927 = 6;\n\nFrom these direct assignment(s), we have: \nV014720 = V402927 = 6;\nNo other variables can be derived from V014720;\nNo other variables can be derived from V402927;\n\nNow we have done all the calculations. Derived variables are:\nV402927 = 6;\nV014720 = 6;\n\nNow we have finished this problem. ANSWER:\nV402927, V014720\n", "role": "assistant" } ]

[ "V772397", "V320958" ]

[ { "content": "<context>\nassign V710617 = V163960 + 1. assign V858201 = V969366. assign V200579 = V032623 + 1. assign V218646 = V127895 - 1. assign V803001 = V644083. assign V099341 = V827614 - 1. assign V359460 = V497438 - 1. assign V364590 = V354149 + 1. assign V811364 = V243617. assign V511057 = V075886 + 1. assign V423322 = V710604 + 1. assign V510944 = V308701. assign V171854 = V163960 + 1. assign V340262 = V898937. assign V616946 = V359460 + 1. assign V071588 = V461961 + 1. assign V217451 = V620525 - 1. assign V187286 = V710617. assign V514574 = V577726 + 1. assign V075886 = V163960 - 1. assign V899438 = V185016 + 1. assign V735252 = V187286 + 1. assign V682748 = V514574 + 1. assign V305430 = V920625 - 1. assign V487234 = V185016. assign V293773 = V644083 + 1. assign V591125 = V710604 - 1. assign V155252 = V730154 - 1. assign V720910 = V686678 - 1. assign V243617 = V577465. assign V050593 = V808996 - 1. assign V270094 = V003261 - 1. assign V702913 = V032623 - 1. assign V354867 = V783250. assign V554937 = V783250. assign V869167 = V969366. assign V930611 = V599940. assign V686678 = V827614 - 1. assign V772790 = V747422 - 1. assign V710604 = V339768 - 1. assign V228336 = V103361 - 1. assign V543310 = V332938 + 1. assign V779551 = V218646. assign V015681 = V305430 - 1. assign V373646 = V228336 - 1. assign V443988 = V989511 - 1. assign V968450 = V591125 + 1. assign V461961 = V710604 + 1. assign V032623 = V532742 + 1. assign V620525 = V695291. assign V386800 = V936080 + 1. assign V613451 = V812853 + 1. assign V543184 = V270094 - 1. assign V044585 = V858201. assign V320958 = V772397. assign V360349 = V003261 - 1. assign V037654 = V251450 + 1. assign V107780 = V103361. assign V019850 = V580694 + 1. assign V328135 = V748651 - 1. assign V352502 = V675934 - 1. assign V981192 = V779551 - 1. assign V920164 = V155252. assign V883979 = V461961 + 1. assign V949778 = V775736 + 1. assign V104848 = V354149. assign V226998 = V155252. assign V520252 = V676615 + 1. assign V748651 = V675934 - 1. assign V747422 = V695291 + 1. assign V152770 = V075886. assign V332938 = V827614. assign V181849 = V200579 + 1. assign V836882 = V710604 + 1. assign V681215 = V710604 + 1. assign V106627 = V920625 + 1. assign V477179 = V103361. assign V260519 = V251450 - 1. assign V258867 = V695291 + 1. assign V812853 = V710617 + 1. assign V695291 = V075886 - 1. assign V599940 = V686678 + 1. assign V775736 = V461961 + 1. assign V936721 = V228336 + 1. assign V989511 = V532742 + 1. assign V163960 = V532742 - 1. assign V690759 = V474153 - 1. assign V474153 = V720910 + 1. assign V936080 = V577726 - 1. assign V744030 = V783250 + 1. assign V908406 = V681215 - 1. assign V772397 = 3. assign V185016 = V554937. assign V475605 = V270094 - 1. assign V903501 = V200579 + 1. assign V827456 = V604266 + 1. assign V220314 = V032623 - 1. assign V277264 = V308701 + 1. assign V781492 = V730154 - 1. assign V379034 = V613451 - 1. assign V422855 = V907334 + 1. assign V008811 = V277264. assign V812951 = V920164. assign V062970 = V599940 - 1. assign V386868 = V423322. assign V003261 = V107780 - 1. assign V004730 = V328341. assign V002119 = V989511. assign V159219 = V354149 - 1. assign V148930 = V554937. assign V353246 = V053797 - 1. assign V996994 = V782973 + 1. assign V577465 = V833747 - 1. assign V251450 = V305430 + 1. assign V127895 = V591125 + 1. assign V920625 = V461961. assign V577726 = V379034 + 1. assign V053797 = V883979. assign V947224 = V104848 - 1. assign V103361 = V783250 - 1. assign V676615 = V827614 - 1. assign V580694 = V675934 + 1. assign V644083 = V686678. assign V783250 = V710604 - 1. assign V308701 = V339768. assign V771721 = V229193 - 1. assign V355723 = V171854 + 1. assign V907334 = V730154 - 1. assign V388563 = V354867 - 1. assign V604110 = V869167. assign V833747 = V577726 - 1. assign V651651 = V599940 - 1. assign V828992 = V651651 + 1. assign V583892 = V908406 - 1. assign V782973 = V328341. assign V898937 = V339768. assign V971212 = V748651. assign V730154 = V163960. assign V213775 = V127895 + 1. assign V354149 = V985699. assign V532742 = V710604. assign V062435 = V695291 + 1. assign V827614 = V339768. assign V985699 = V339768 - 1. assign V253036 = V936721 + 1. assign V671125 = V580694. assign V095640 = V720910. assign V975885 = V127895 + 1. assign V961814 = V710604 - 1. assign V201144 = V695291 - 1. assign V192702 = V474153 - 1. assign V808996 = V461961. assign V497438 = V744030 - 1. assign V336210 = V355723. assign V275066 = V277264 - 1. assign V843259 = V260519. assign V249026 = V554937. assign V928612 = V019850 - 1. assign V969366 = V968450. assign V604266 = V187286 + 1. assign V675934 = V229193. assign V328341 = V339768 + 1. assign V273267 = V710617 + 1. assign V614097 = V554937 + 1. assign V229193 = V379034. assign V232870 = V996994. assign V234742 = V686678. assign V793398 = V475605. assign V585198 = V273267 + 1. assign V562773 = V251450 + 1. assign V446010 = V075886. assign V738259 = V620525 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V710617 = V163960 + 1. assign V858201 = V969366. assign V200579 = V032623 + 1. assign V218646 = V127895 - 1. assign V803001 = V644083. assign V099341 = V827614 - 1. assign V359460 = V497438 - 1. assign V364590 = V354149 + 1. assign V811364 = V243617. assign V511057 = V075886 + 1. assign V423322 = V710604 + 1. assign V510944 = V308701. assign V171854 = V163960 + 1. assign V340262 = V898937. assign V616946 = V359460 + 1. assign V071588 = V461961 + 1. assign V217451 = V620525 - 1. assign V187286 = V710617. assign V514574 = V577726 + 1. assign V075886 = V163960 - 1. assign V899438 = V185016 + 1. assign V735252 = V187286 + 1. assign V682748 = V514574 + 1. assign V305430 = V920625 - 1. assign V487234 = V185016. assign V293773 = V644083 + 1. assign V591125 = V710604 - 1. assign V155252 = V730154 - 1. assign V720910 = V686678 - 1. assign V243617 = V577465. assign V050593 = V808996 - 1. assign V270094 = V003261 - 1. assign V702913 = V032623 - 1. assign V354867 = V783250. assign V554937 = V783250. assign V869167 = V969366. assign V930611 = V599940. assign V686678 = V827614 - 1. assign V772790 = V747422 - 1. assign V710604 = V339768 - 1. assign V228336 = V103361 - 1. assign V543310 = V332938 + 1. assign V779551 = V218646. assign V015681 = V305430 - 1. assign V373646 = V228336 - 1. assign V443988 = V989511 - 1. assign V968450 = V591125 + 1. assign V461961 = V710604 + 1. assign V032623 = V532742 + 1. assign V620525 = V695291. assign V386800 = V936080 + 1. assign V613451 = V812853 + 1. assign V543184 = V270094 - 1. assign V044585 = V858201. assign V320958 = V772397. assign V360349 = V003261 - 1. assign V037654 = V251450 + 1. assign V107780 = V103361. assign V019850 = V580694 + 1. assign V328135 = V748651 - 1. assign V352502 = V675934 - 1. assign V981192 = V779551 - 1. assign V920164 = V155252. assign V883979 = V461961 + 1. assign V949778 = V775736 + 1. assign V104848 = V354149. assign V226998 = V155252. assign V520252 = V676615 + 1. assign V748651 = V675934 - 1. assign V747422 = V695291 + 1. assign V152770 = V075886. assign V332938 = V827614. assign V181849 = V200579 + 1. assign V836882 = V710604 + 1. assign V681215 = V710604 + 1. assign V106627 = V920625 + 1. assign V477179 = V103361. assign V260519 = V251450 - 1. assign V258867 = V695291 + 1. assign V812853 = V710617 + 1. assign V695291 = V075886 - 1. assign V599940 = V686678 + 1. assign V775736 = V461961 + 1. assign V936721 = V228336 + 1. assign V989511 = V532742 + 1. assign V163960 = V532742 - 1. assign V690759 = V474153 - 1. assign V474153 = V720910 + 1. assign V936080 = V577726 - 1. assign V744030 = V783250 + 1. assign V908406 = V681215 - 1. assign V772397 = 3. assign V185016 = V554937. assign V475605 = V270094 - 1. assign V903501 = V200579 + 1. assign V827456 = V604266 + 1. assign V220314 = V032623 - 1. assign V277264 = V308701 + 1. assign V781492 = V730154 - 1. assign V379034 = V613451 - 1. assign V422855 = V907334 + 1. assign V008811 = V277264. assign V812951 = V920164. assign V062970 = V599940 - 1. assign V386868 = V423322. assign V003261 = V107780 - 1. assign V004730 = V328341. assign V002119 = V989511. assign V159219 = V354149 - 1. assign V148930 = V554937. assign V353246 = V053797 - 1. assign V996994 = V782973 + 1. assign V577465 = V833747 - 1. assign V251450 = V305430 + 1. assign V127895 = V591125 + 1. assign V920625 = V461961. assign V577726 = V379034 + 1. assign V053797 = V883979. assign V947224 = V104848 - 1. assign V103361 = V783250 - 1. assign V676615 = V827614 - 1. assign V580694 = V675934 + 1. assign V644083 = V686678. assign V783250 = V710604 - 1. assign V308701 = V339768. assign V771721 = V229193 - 1. assign V355723 = V171854 + 1. assign V907334 = V730154 - 1. assign V388563 = V354867 - 1. assign V604110 = V869167. assign V833747 = V577726 - 1. assign V651651 = V599940 - 1. assign V828992 = V651651 + 1. assign V583892 = V908406 - 1. assign V782973 = V328341. assign V898937 = V339768. assign V971212 = V748651. assign V730154 = V163960. assign V213775 = V127895 + 1. assign V354149 = V985699. assign V532742 = V710604. assign V062435 = V695291 + 1. assign V827614 = V339768. assign V985699 = V339768 - 1. assign V253036 = V936721 + 1. assign V671125 = V580694. assign V095640 = V720910. assign V975885 = V127895 + 1. assign V961814 = V710604 - 1. assign V201144 = V695291 - 1. assign V192702 = V474153 - 1. assign V808996 = V461961. assign V497438 = V744030 - 1. assign V336210 = V355723. assign V275066 = V277264 - 1. assign V843259 = V260519. assign V249026 = V554937. assign V928612 = V019850 - 1. assign V969366 = V968450. assign V604266 = V187286 + 1. assign V675934 = V229193. assign V328341 = V339768 + 1. assign V273267 = V710617 + 1. assign V614097 = V554937 + 1. assign V229193 = V379034. assign V232870 = V996994. assign V234742 = V686678. assign V793398 = V475605. assign V585198 = V273267 + 1. assign V562773 = V251450 + 1. assign V446010 = V075886. assign V738259 = V620525 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV772397 = 3;\n\nFrom these direct assignment(s), we have: \nV320958 = V772397 = 3;\nNo other variables can be derived from V320958;\nNo other variables can be derived from V772397;\n\nNow we have done all the calculations. Derived variables are:\nV772397 = 3;\nV320958 = 3;\n\nNow we have finished this problem. ANSWER:\nV772397, V320958\n", "role": "assistant" } ]

[ "V244307", "V558297" ]

[ { "content": "<context>\nassign V873826 = V745149 + 1. assign V637080 = V525133. assign V077238 = V091176 - 1. assign V697023 = V132390 - 1. assign V279304 = V906806. assign V293455 = V650700. assign V801109 = V844662 + 1. assign V724114 = V568698 + 1. assign V506782 = V885640 - 1. assign V020294 = V061186 + 1. assign V586910 = V745149. assign V724775 = V956493. assign V145747 = V586910. assign V885640 = V917441. assign V880280 = V650767 + 1. assign V768964 = V461667 - 1. assign V356814 = V745149. assign V401653 = V325876. assign V907829 = V650700 + 1. assign V520032 = V794742 - 1. assign V068341 = V709598 + 1. assign V690520 = V495183 - 1. assign V132719 = V484035. assign V807400 = V117607. assign V952323 = V917441 + 1. assign V325876 = V484035 - 1. assign V061186 = V527456 - 1. assign V171508 = V021896 - 1. assign V231932 = V650767 + 1. assign V485200 = V401653. assign V456926 = V724775 + 1. assign V453993 = V367381 - 1. assign V663842 = V328844. assign V189714 = V840189 - 1. assign V991582 = V676626. assign V495183 = V525133. assign V446208 = V690520 + 1. assign V527456 = V132390 - 1. assign V097311 = V299331. assign V046561 = V745149. assign V896943 = V866119 - 1. assign V816415 = V309241 - 1. assign V117305 = V753366. assign V253179 = V875766 - 1. assign V650767 = V401653 - 1. assign V519568 = V610770 - 1. assign V295339 = V840189 + 1. assign V410032 = V465390 - 1. assign V709598 = V495183. assign V435060 = V004976 - 1. assign V513362 = V709598 + 1. assign V210784 = V793808 - 1. assign V671324 = V586910 - 1. assign V117607 = V485200 + 1. assign V449029 = V373872. assign V672276 = V796493 + 1. assign V225831 = V991582 + 1. assign V373872 = V307891 + 1. assign V755085 = V745149. assign V244307 = 6. assign V050189 = V328844 + 1. assign V950347 = V724114. assign V102033 = V672276 - 1. assign V902466 = V410032. assign V796493 = V021197 - 1. assign V268155 = V309241. assign V111879 = V251812 + 1. assign V809351 = V077238. assign V328844 = V650700. assign V746000 = V190595 - 1. assign V309241 = V676626 - 1. assign V711269 = V793808 - 1. assign V466653 = V637080 - 1. assign V876907 = V021197 - 1. assign V314948 = V852208 - 1. assign V931378 = V068341. assign V753366 = V021197. assign V674403 = V021197. assign V732606 = V280070. assign V642245 = V251812 - 1. assign V794742 = V724114. assign V132390 = V907829 - 1. assign V833613 = V650700. assign V015302 = V316946. assign V307891 = V930921. assign V508143 = V017993. assign V906806 = V876907. assign V030709 = V924472 - 1. assign V466966 = V453993. assign V299331 = V777057 + 1. assign V004976 = V325876 + 1. assign V129275 = V508143 - 1. assign V190595 = V866119 + 1. assign V189625 = V753366. assign V863192 = V084469 + 1. assign V023770 = V280070. assign V910671 = V328844 - 1. assign V347766 = V325876 - 1. assign V875766 = V484035. assign V679175 = V484035 - 1. assign V280070 = V084469 - 1. assign V607298 = V950347 + 1. assign V828920 = V373872 + 1. assign V737167 = V846158. assign V458702 = V671324 - 1. assign V646073 = V132719. assign V262533 = V724114. assign V568698 = V672276. assign V884724 = V637080 - 1. assign V917441 = V091176. assign V650700 = V672276. assign V852208 = V674403 - 1. assign V097358 = V132390 + 1. assign V856061 = V816415 - 1. assign V091176 = V671324 - 1. assign V071292 = V084469 - 1. assign V531147 = V924472. assign V387751 = V796493. assign V290960 = V697023. assign V636414 = V679175 + 1. assign V136534 = V017993 + 1. assign V239886 = V610770 - 1. assign V824303 = V745149 - 1. assign V846158 = V461667 + 1. assign V316946 = V796493. assign V251812 = V484035. assign V758226 = V290960 - 1. assign V956493 = V709598 - 1. assign V525133 = V755085 + 1. assign V430882 = V755085 - 1. assign V844662 = V299331. assign V367381 = V709598 + 1. assign V761252 = V907829 + 1. assign V232409 = V956493 + 1. assign V465390 = V676626 + 1. assign V461667 = V991582 - 1. assign V021896 = V527456. assign V752660 = V132390. assign V047301 = V307891 + 1. assign V722839 = V145747 - 1. assign V918772 = V676626 - 1. assign V866119 = V568698. assign V948991 = V309241 - 1. assign V777057 = V484035. assign V558297 = V244307. assign V840189 = V753366 + 1. assign V676626 = V484035 - 1. assign V930921 = V745149 - 1. assign V083704 = V253179 - 1. assign V793808 = V586910 + 1. assign V400189 = V570758 + 1. assign V147775 = V495183 - 1. assign V570758 = V021197. assign V973425 = V676626 + 1. assign V116697 = V709598. assign V892137 = V495183 - 1. assign V945826 = V885640 + 1. assign V964690 = V309241 - 1. assign V923547 = V309241. assign V084469 = V672276 - 1. assign V924472 = V755085 - 1. assign V869414 = V724114 - 1. assign V229570 = V309241 - 1. assign V817533 = V387751 + 1. assign V484035 = V745149 + 1. assign V610770 = V021896 - 1. assign V253747 = V663842. assign V365063 = V253179. assign V849211 = V279304 + 1. assign V445839 = V021197 - 1. assign V021197 = V745149. assign V017993 = V485200 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V873826 = V745149 + 1. assign V637080 = V525133. assign V077238 = V091176 - 1. assign V697023 = V132390 - 1. assign V279304 = V906806. assign V293455 = V650700. assign V801109 = V844662 + 1. assign V724114 = V568698 + 1. assign V506782 = V885640 - 1. assign V020294 = V061186 + 1. assign V586910 = V745149. assign V724775 = V956493. assign V145747 = V586910. assign V885640 = V917441. assign V880280 = V650767 + 1. assign V768964 = V461667 - 1. assign V356814 = V745149. assign V401653 = V325876. assign V907829 = V650700 + 1. assign V520032 = V794742 - 1. assign V068341 = V709598 + 1. assign V690520 = V495183 - 1. assign V132719 = V484035. assign V807400 = V117607. assign V952323 = V917441 + 1. assign V325876 = V484035 - 1. assign V061186 = V527456 - 1. assign V171508 = V021896 - 1. assign V231932 = V650767 + 1. assign V485200 = V401653. assign V456926 = V724775 + 1. assign V453993 = V367381 - 1. assign V663842 = V328844. assign V189714 = V840189 - 1. assign V991582 = V676626. assign V495183 = V525133. assign V446208 = V690520 + 1. assign V527456 = V132390 - 1. assign V097311 = V299331. assign V046561 = V745149. assign V896943 = V866119 - 1. assign V816415 = V309241 - 1. assign V117305 = V753366. assign V253179 = V875766 - 1. assign V650767 = V401653 - 1. assign V519568 = V610770 - 1. assign V295339 = V840189 + 1. assign V410032 = V465390 - 1. assign V709598 = V495183. assign V435060 = V004976 - 1. assign V513362 = V709598 + 1. assign V210784 = V793808 - 1. assign V671324 = V586910 - 1. assign V117607 = V485200 + 1. assign V449029 = V373872. assign V672276 = V796493 + 1. assign V225831 = V991582 + 1. assign V373872 = V307891 + 1. assign V755085 = V745149. assign V244307 = 6. assign V050189 = V328844 + 1. assign V950347 = V724114. assign V102033 = V672276 - 1. assign V902466 = V410032. assign V796493 = V021197 - 1. assign V268155 = V309241. assign V111879 = V251812 + 1. assign V809351 = V077238. assign V328844 = V650700. assign V746000 = V190595 - 1. assign V309241 = V676626 - 1. assign V711269 = V793808 - 1. assign V466653 = V637080 - 1. assign V876907 = V021197 - 1. assign V314948 = V852208 - 1. assign V931378 = V068341. assign V753366 = V021197. assign V674403 = V021197. assign V732606 = V280070. assign V642245 = V251812 - 1. assign V794742 = V724114. assign V132390 = V907829 - 1. assign V833613 = V650700. assign V015302 = V316946. assign V307891 = V930921. assign V508143 = V017993. assign V906806 = V876907. assign V030709 = V924472 - 1. assign V466966 = V453993. assign V299331 = V777057 + 1. assign V004976 = V325876 + 1. assign V129275 = V508143 - 1. assign V190595 = V866119 + 1. assign V189625 = V753366. assign V863192 = V084469 + 1. assign V023770 = V280070. assign V910671 = V328844 - 1. assign V347766 = V325876 - 1. assign V875766 = V484035. assign V679175 = V484035 - 1. assign V280070 = V084469 - 1. assign V607298 = V950347 + 1. assign V828920 = V373872 + 1. assign V737167 = V846158. assign V458702 = V671324 - 1. assign V646073 = V132719. assign V262533 = V724114. assign V568698 = V672276. assign V884724 = V637080 - 1. assign V917441 = V091176. assign V650700 = V672276. assign V852208 = V674403 - 1. assign V097358 = V132390 + 1. assign V856061 = V816415 - 1. assign V091176 = V671324 - 1. assign V071292 = V084469 - 1. assign V531147 = V924472. assign V387751 = V796493. assign V290960 = V697023. assign V636414 = V679175 + 1. assign V136534 = V017993 + 1. assign V239886 = V610770 - 1. assign V824303 = V745149 - 1. assign V846158 = V461667 + 1. assign V316946 = V796493. assign V251812 = V484035. assign V758226 = V290960 - 1. assign V956493 = V709598 - 1. assign V525133 = V755085 + 1. assign V430882 = V755085 - 1. assign V844662 = V299331. assign V367381 = V709598 + 1. assign V761252 = V907829 + 1. assign V232409 = V956493 + 1. assign V465390 = V676626 + 1. assign V461667 = V991582 - 1. assign V021896 = V527456. assign V752660 = V132390. assign V047301 = V307891 + 1. assign V722839 = V145747 - 1. assign V918772 = V676626 - 1. assign V866119 = V568698. assign V948991 = V309241 - 1. assign V777057 = V484035. assign V558297 = V244307. assign V840189 = V753366 + 1. assign V676626 = V484035 - 1. assign V930921 = V745149 - 1. assign V083704 = V253179 - 1. assign V793808 = V586910 + 1. assign V400189 = V570758 + 1. assign V147775 = V495183 - 1. assign V570758 = V021197. assign V973425 = V676626 + 1. assign V116697 = V709598. assign V892137 = V495183 - 1. assign V945826 = V885640 + 1. assign V964690 = V309241 - 1. assign V923547 = V309241. assign V084469 = V672276 - 1. assign V924472 = V755085 - 1. assign V869414 = V724114 - 1. assign V229570 = V309241 - 1. assign V817533 = V387751 + 1. assign V484035 = V745149 + 1. assign V610770 = V021896 - 1. assign V253747 = V663842. assign V365063 = V253179. assign V849211 = V279304 + 1. assign V445839 = V021197 - 1. assign V021197 = V745149. assign V017993 = V485200 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV244307 = 6;\n\nFrom these direct assignment(s), we have: \nV558297 = V244307 = 6;\nNo other variables can be derived from V558297;\nNo other variables can be derived from V244307;\n\nNow we have done all the calculations. Derived variables are:\nV244307 = 6;\nV558297 = 6;\n\nNow we have finished this problem. ANSWER:\nV244307, V558297\n", "role": "assistant" } ]

[ "V655196", "V985913" ]

[ { "content": "<context>\nassign V985301 = V720216. assign V459503 = V005506 - 1. assign V283772 = V826025 + 1. assign V454481 = V757251. assign V450796 = V826025 - 1. assign V489816 = V682080 + 1. assign V593740 = V952136. assign V142080 = V477125. assign V378274 = V803809 + 1. assign V985913 = V655196. assign V870449 = V707454 + 1. assign V794720 = V834331 + 1. assign V253366 = V577580 + 1. assign V556520 = V226278 + 1. assign V438961 = V675573 + 1. assign V346383 = V577580 - 1. assign V590372 = V136001 + 1. assign V834331 = V657659 + 1. assign V310685 = V162706 + 1. assign V338273 = V834607 - 1. assign V387125 = V307609 + 1. assign V477427 = V545103. assign V803809 = V493419 - 1. assign V467037 = V964758 - 1. assign V675573 = V142080 + 1. assign V724720 = V307609 - 1. assign V377534 = V307609. assign V227622 = V849485 - 1. assign V946357 = V163821 + 1. assign V733334 = V495333 + 1. assign V029594 = V866875 + 1. assign V216719 = V477125. assign V655196 = 10. assign V877836 = V630774 + 1. assign V715456 = V685009. assign V892188 = V908618 + 1. assign V707454 = V356251 - 1. assign V125745 = V675573 + 1. assign V136001 = V980439 - 1. assign V880516 = V955825 - 1. assign V562093 = V387125 - 1. assign V630774 = V946357 - 1. assign V535457 = V820056 - 1. assign V454735 = V346383 - 1. assign V453188 = V454481 + 1. assign V825230 = V615858 - 1. assign V101427 = V870449. assign V955825 = V946357 - 1. assign V162706 = V866875 - 1. assign V657659 = V820056 + 1. assign V615858 = V629640. assign V107136 = V927515 - 1. assign V237796 = V927891 - 1. assign V529569 = V467037. assign V902759 = V454735 + 1. assign V542237 = V705307 - 1. assign V607100 = V724720 - 1. assign V648865 = V180494 + 1. assign V392611 = V656650 - 1. assign V947596 = V467037. assign V454167 = V985301 - 1. assign V927891 = V658677. assign V427168 = V720216 + 1. assign V474887 = V377534. assign V782806 = V142080 + 1. assign V073582 = V173442. assign V864763 = V396928 - 1. assign V308629 = V413365 + 1. assign V200058 = V249461. assign V061479 = V253366. assign V545695 = V357756. assign V535525 = V720216 + 1. assign V953760 = V535148 + 1. assign V362105 = V799208. assign V577580 = V720216. assign V545103 = V849485 + 1. assign V249461 = V826025 + 1. assign V005506 = V877836. assign V541761 = V163821 + 1. assign V818387 = V956144 - 1. assign V226278 = V163821. assign V136375 = V535457 + 1. assign V623195 = V357756. assign V621620 = V630774 + 1. assign V720216 = V556520 + 1. assign V417934 = V005506. assign V629640 = V927515 - 1. assign V443300 = V535148. assign V956144 = V477125 + 1. assign V001809 = V432219 + 1. assign V017674 = V163821 + 1. assign V490498 = V705307 - 1. assign V631712 = V101427 - 1. assign V809916 = V641843. assign V673829 = V498933 + 1. assign V806264 = V136001. assign V379512 = V656650 + 1. assign V599025 = V964758 + 1. assign V357756 = V946357 + 1. assign V165526 = V556520. assign V180494 = V927515. assign V757251 = V820056. assign V595193 = V136001 - 1. assign V397529 = V002712 + 1. assign V396960 = V396928. assign V548488 = V850484 + 1. assign V908618 = V757251. assign V850484 = V227622. assign V227113 = V705307. assign V524323 = V535525 - 1. assign V675344 = V338273. assign V413365 = V450796. assign V659313 = V577580 - 1. assign V479463 = V149448 - 1. assign V927515 = V541761. assign V356251 = V541761 + 1. assign V423255 = V803809. assign V799208 = V850484 + 1. assign V307609 = V136001 - 1. assign V977032 = V454167. assign V802941 = V450796. assign V685009 = V401148 - 1. assign V198680 = V270734 + 1. assign V149448 = V401148 + 1. assign V849485 = V270734. assign V173442 = V799208. assign V656650 = V720216 - 1. assign V493419 = V396928 + 1. assign V641843 = V163821. assign V772358 = V548488 - 1. assign V491917 = V535525 + 1. assign V461633 = V964758. assign V658677 = V820056. assign V350074 = V450796. assign V228855 = V396928 + 1. assign V952136 = V401148. assign V834607 = V142080. assign V114861 = V249461 + 1. assign V401148 = V577580. assign V826025 = V820056 - 1. assign V162601 = V826025 + 1. assign V911209 = V985301 + 1. assign V163821 = V849485 + 1. assign V495333 = V803809 - 1. assign V817832 = V228855 - 1. assign V665569 = V163821 + 1. assign V477125 = V927515. assign V569577 = V163821 + 1. assign V398758 = V307609 - 1. assign V002712 = V946357 + 1. assign V498933 = V270734 - 1. assign V308062 = V495333 - 1. assign V497101 = V803809 - 1. assign V096492 = V413365 + 1. assign V964758 = V450796 - 1. assign V432219 = V569577 + 1. assign V885817 = V850484. assign V213204 = V026884 - 1. assign V324142 = V850484 + 1. assign V198787 = V595193 - 1. assign V866875 = V877836 - 1. assign V270734 = V820056 + 1. assign V750217 = V478939 - 1. assign V535148 = V956144 - 1. assign V682080 = V834607 + 1. assign V980439 = V163821 + 1. assign V478939 = V952136 + 1. assign V396928 = V658677. assign V705307 = V952136 + 1. assign V477960 = V715456. assign V026884 = V946357. assign V732998 = V593740.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V985301 = V720216. assign V459503 = V005506 - 1. assign V283772 = V826025 + 1. assign V454481 = V757251. assign V450796 = V826025 - 1. assign V489816 = V682080 + 1. assign V593740 = V952136. assign V142080 = V477125. assign V378274 = V803809 + 1. assign V985913 = V655196. assign V870449 = V707454 + 1. assign V794720 = V834331 + 1. assign V253366 = V577580 + 1. assign V556520 = V226278 + 1. assign V438961 = V675573 + 1. assign V346383 = V577580 - 1. assign V590372 = V136001 + 1. assign V834331 = V657659 + 1. assign V310685 = V162706 + 1. assign V338273 = V834607 - 1. assign V387125 = V307609 + 1. assign V477427 = V545103. assign V803809 = V493419 - 1. assign V467037 = V964758 - 1. assign V675573 = V142080 + 1. assign V724720 = V307609 - 1. assign V377534 = V307609. assign V227622 = V849485 - 1. assign V946357 = V163821 + 1. assign V733334 = V495333 + 1. assign V029594 = V866875 + 1. assign V216719 = V477125. assign V655196 = 10. assign V877836 = V630774 + 1. assign V715456 = V685009. assign V892188 = V908618 + 1. assign V707454 = V356251 - 1. assign V125745 = V675573 + 1. assign V136001 = V980439 - 1. assign V880516 = V955825 - 1. assign V562093 = V387125 - 1. assign V630774 = V946357 - 1. assign V535457 = V820056 - 1. assign V454735 = V346383 - 1. assign V453188 = V454481 + 1. assign V825230 = V615858 - 1. assign V101427 = V870449. assign V955825 = V946357 - 1. assign V162706 = V866875 - 1. assign V657659 = V820056 + 1. assign V615858 = V629640. assign V107136 = V927515 - 1. assign V237796 = V927891 - 1. assign V529569 = V467037. assign V902759 = V454735 + 1. assign V542237 = V705307 - 1. assign V607100 = V724720 - 1. assign V648865 = V180494 + 1. assign V392611 = V656650 - 1. assign V947596 = V467037. assign V454167 = V985301 - 1. assign V927891 = V658677. assign V427168 = V720216 + 1. assign V474887 = V377534. assign V782806 = V142080 + 1. assign V073582 = V173442. assign V864763 = V396928 - 1. assign V308629 = V413365 + 1. assign V200058 = V249461. assign V061479 = V253366. assign V545695 = V357756. assign V535525 = V720216 + 1. assign V953760 = V535148 + 1. assign V362105 = V799208. assign V577580 = V720216. assign V545103 = V849485 + 1. assign V249461 = V826025 + 1. assign V005506 = V877836. assign V541761 = V163821 + 1. assign V818387 = V956144 - 1. assign V226278 = V163821. assign V136375 = V535457 + 1. assign V623195 = V357756. assign V621620 = V630774 + 1. assign V720216 = V556520 + 1. assign V417934 = V005506. assign V629640 = V927515 - 1. assign V443300 = V535148. assign V956144 = V477125 + 1. assign V001809 = V432219 + 1. assign V017674 = V163821 + 1. assign V490498 = V705307 - 1. assign V631712 = V101427 - 1. assign V809916 = V641843. assign V673829 = V498933 + 1. assign V806264 = V136001. assign V379512 = V656650 + 1. assign V599025 = V964758 + 1. assign V357756 = V946357 + 1. assign V165526 = V556520. assign V180494 = V927515. assign V757251 = V820056. assign V595193 = V136001 - 1. assign V397529 = V002712 + 1. assign V396960 = V396928. assign V548488 = V850484 + 1. assign V908618 = V757251. assign V850484 = V227622. assign V227113 = V705307. assign V524323 = V535525 - 1. assign V675344 = V338273. assign V413365 = V450796. assign V659313 = V577580 - 1. assign V479463 = V149448 - 1. assign V927515 = V541761. assign V356251 = V541761 + 1. assign V423255 = V803809. assign V799208 = V850484 + 1. assign V307609 = V136001 - 1. assign V977032 = V454167. assign V802941 = V450796. assign V685009 = V401148 - 1. assign V198680 = V270734 + 1. assign V149448 = V401148 + 1. assign V849485 = V270734. assign V173442 = V799208. assign V656650 = V720216 - 1. assign V493419 = V396928 + 1. assign V641843 = V163821. assign V772358 = V548488 - 1. assign V491917 = V535525 + 1. assign V461633 = V964758. assign V658677 = V820056. assign V350074 = V450796. assign V228855 = V396928 + 1. assign V952136 = V401148. assign V834607 = V142080. assign V114861 = V249461 + 1. assign V401148 = V577580. assign V826025 = V820056 - 1. assign V162601 = V826025 + 1. assign V911209 = V985301 + 1. assign V163821 = V849485 + 1. assign V495333 = V803809 - 1. assign V817832 = V228855 - 1. assign V665569 = V163821 + 1. assign V477125 = V927515. assign V569577 = V163821 + 1. assign V398758 = V307609 - 1. assign V002712 = V946357 + 1. assign V498933 = V270734 - 1. assign V308062 = V495333 - 1. assign V497101 = V803809 - 1. assign V096492 = V413365 + 1. assign V964758 = V450796 - 1. assign V432219 = V569577 + 1. assign V885817 = V850484. assign V213204 = V026884 - 1. assign V324142 = V850484 + 1. assign V198787 = V595193 - 1. assign V866875 = V877836 - 1. assign V270734 = V820056 + 1. assign V750217 = V478939 - 1. assign V535148 = V956144 - 1. assign V682080 = V834607 + 1. assign V980439 = V163821 + 1. assign V478939 = V952136 + 1. assign V396928 = V658677. assign V705307 = V952136 + 1. assign V477960 = V715456. assign V026884 = V946357. assign V732998 = V593740.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV655196 = 10;\n\nFrom these direct assignment(s), we have: \nV985913 = V655196 = 10;\nNo other variables can be derived from V985913;\nNo other variables can be derived from V655196;\n\nNow we have done all the calculations. Derived variables are:\nV655196 = 10;\nV985913 = 10;\n\nNow we have finished this problem. ANSWER:\nV655196, V985913\n", "role": "assistant" } ]

[ "V262987" ]

[ { "content": "<context>\nassign V941342 = V376482 + 1. assign V818879 = V255626. assign V850678 = V817726 - 1. assign V268134 = V674376 - 1. assign V072980 = V916157 + 1. assign V054896 = V118363 + 1. assign V032773 = V883370 - 1. assign V224405 = V192851 - 1. assign V099723 = V192851 + 1. assign V322148 = V842846. assign V846366 = V937807 + 1. assign V141903 = V944571 - 1. assign V473020 = V715215 - 1. assign V014495 = V255626 + 1. assign V046558 = V861530. assign V762663 = V385019 + 1. assign V192851 = V057543. assign V192257 = V556060 + 1. assign V390069 = V456546 + 1. assign V928410 = V415689. assign V986992 = V568683. assign V449388 = V715215 - 1. assign V925967 = V653932 + 1. assign V931070 = V589386 - 1. assign V195093 = V872092. assign V266480 = V872092 + 1. assign V612003 = V245133 - 1. assign V738474 = V093724 + 1. assign V274672 = V645777 - 1. assign V694996 = V949536 + 1. assign V625514 = V792958 + 1. assign V721127 = V792958 + 1. assign V673193 = V842846. assign V189979 = V998289 - 1. assign V098507 = V773440. assign V187428 = V854877. assign V773685 = V568683 + 1. assign V612054 = V673193 - 1. assign V484780 = V047003 + 1. assign V146648 = V693479 - 1. assign V884782 = V864320 - 1. assign V406102 = V792958 - 1. assign V973687 = V015478 - 1. assign V287650 = V773685. assign V777126 = V949536 - 1. assign V071601 = V674376. assign V840512 = V645777 - 1. assign V765529 = V973687. assign V118363 = V169322. assign V390589 = V065163 + 1. assign V693852 = V001099. assign V819060 = V773440 + 1. assign V857953 = V390589 - 1. assign V255626 = V245133. assign V589386 = V854877 - 1. assign V856192 = V385019 - 1. assign V897152 = V916157 + 1. assign V387972 = V937807. assign V842846 = V854877 - 1. assign V216446 = V773685 - 1. assign V754151 = V167035 - 1. assign V861530 = V245133. assign V252873 = V651467 - 1. assign V093724 = V861530 - 1. assign V453301 = V520062 + 1. assign V880038 = V673193. assign V674376 = V708017. assign V152727 = V071601 + 1. assign V817726 = V792958 + 1. assign V494434 = V412238 + 1. assign V937807 = V693852. assign V705163 = V363537 + 1. assign V864257 = V942217. assign V733800 = V937807 - 1. assign V298809 = V494434 - 1. assign V047003 = V665006. assign V998289 = V099723 - 1. assign V124211 = V966671. assign V060615 = V773685 + 1. assign V539655 = V705163. assign V872092 = V842846 - 1. assign V412238 = V854877 + 1. assign V602660 = V099723 + 1. assign V219217 = V673193. assign V142993 = V065163. assign V916157 = V928410 - 1. assign V854877 = V665006 - 1. assign V410241 = V298809 + 1. assign V715215 = V118363 + 1. assign V390668 = V015478. assign V949536 = V854877. assign V922758 = V163561. assign V385019 = V986992. assign V340029 = V773440. assign V587791 = V552564. assign V979950 = 6. assign V975067 = V937807. assign V274524 = V282330 + 1. assign V618653 = V568683. assign V568683 = V169322. assign V245133 = V390589 + 1. assign V259237 = V456546. assign V400494 = V777126 + 1. assign V323410 = V195093 - 1. assign V574707 = V977607 + 1. assign V585869 = V694996. assign V001087 = V060615 - 1. assign V559898 = V568683 - 1. assign V942217 = V385019 - 1. assign V363537 = V001099 + 1. assign V226985 = V385019. assign V520062 = V731512. assign V693479 = V861530 + 1. assign V070691 = V694996. assign V653932 = V047003 + 1. assign V264735 = V982537 + 1. assign V678891 = V975067 - 1. assign V162583 = V925967 - 1. assign V176669 = V850678 - 1. assign V556060 = V484780 + 1. assign V006710 = V001099 + 1. assign V062354 = V721127. assign V998552 = V777622 + 1. assign V977607 = V842846. assign V777622 = V589386 + 1. assign V989929 = V410241. assign V628305 = V645777 + 1. assign V708017 = V966671 + 1. assign V376482 = V322148 - 1. assign V651467 = V674376 + 1. assign V731512 = V245133 - 1. assign V392334 = V152727 - 1. assign V192406 = V925967 - 1. assign V982537 = V842846 + 1. assign V805881 = V731512 - 1. assign V057543 = V568683 - 1. assign V079464 = V602660 + 1. assign V966671 = V245133 - 1. assign V262987 = V979950 + 1. assign V332118 = V989929 + 1. assign V944571 = V674376 - 1. assign V552564 = V322148 + 1. assign V922522 = V762663 - 1. assign V773440 = V385019. assign V163561 = V944571 + 1. assign V433390 = V754151 + 1. assign V065163 = V169322 - 1. assign V665006 = V169322. assign V015478 = V169322 - 1. assign V338099 = V054896 - 1. assign V827764 = V966671. assign V454899 = V874911 - 1. assign V001099 = V665006. assign V555407 = V057543 - 1. assign V626668 = V982537 - 1. assign V351511 = V982537 + 1. assign V814704 = V625514. assign V415689 = V169322 - 1. assign V456546 = V552564. assign V874911 = V057543 + 1. assign V167035 = V245133. assign V068509 = V949536 + 1. assign V792958 = V142993 - 1. assign V069695 = V982537. assign V846597 = V612003 - 1. assign V324171 = V473020. assign V282330 = V245133. assign V883370 = V412238 - 1. assign V645777 = V842846. assign V794480 = V473020 + 1. assign V234955 = V942217. assign V864320 = V916157 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V941342 = V376482 + 1. assign V818879 = V255626. assign V850678 = V817726 - 1. assign V268134 = V674376 - 1. assign V072980 = V916157 + 1. assign V054896 = V118363 + 1. assign V032773 = V883370 - 1. assign V224405 = V192851 - 1. assign V099723 = V192851 + 1. assign V322148 = V842846. assign V846366 = V937807 + 1. assign V141903 = V944571 - 1. assign V473020 = V715215 - 1. assign V014495 = V255626 + 1. assign V046558 = V861530. assign V762663 = V385019 + 1. assign V192851 = V057543. assign V192257 = V556060 + 1. assign V390069 = V456546 + 1. assign V928410 = V415689. assign V986992 = V568683. assign V449388 = V715215 - 1. assign V925967 = V653932 + 1. assign V931070 = V589386 - 1. assign V195093 = V872092. assign V266480 = V872092 + 1. assign V612003 = V245133 - 1. assign V738474 = V093724 + 1. assign V274672 = V645777 - 1. assign V694996 = V949536 + 1. assign V625514 = V792958 + 1. assign V721127 = V792958 + 1. assign V673193 = V842846. assign V189979 = V998289 - 1. assign V098507 = V773440. assign V187428 = V854877. assign V773685 = V568683 + 1. assign V612054 = V673193 - 1. assign V484780 = V047003 + 1. assign V146648 = V693479 - 1. assign V884782 = V864320 - 1. assign V406102 = V792958 - 1. assign V973687 = V015478 - 1. assign V287650 = V773685. assign V777126 = V949536 - 1. assign V071601 = V674376. assign V840512 = V645777 - 1. assign V765529 = V973687. assign V118363 = V169322. assign V390589 = V065163 + 1. assign V693852 = V001099. assign V819060 = V773440 + 1. assign V857953 = V390589 - 1. assign V255626 = V245133. assign V589386 = V854877 - 1. assign V856192 = V385019 - 1. assign V897152 = V916157 + 1. assign V387972 = V937807. assign V842846 = V854877 - 1. assign V216446 = V773685 - 1. assign V754151 = V167035 - 1. assign V861530 = V245133. assign V252873 = V651467 - 1. assign V093724 = V861530 - 1. assign V453301 = V520062 + 1. assign V880038 = V673193. assign V674376 = V708017. assign V152727 = V071601 + 1. assign V817726 = V792958 + 1. assign V494434 = V412238 + 1. assign V937807 = V693852. assign V705163 = V363537 + 1. assign V864257 = V942217. assign V733800 = V937807 - 1. assign V298809 = V494434 - 1. assign V047003 = V665006. assign V998289 = V099723 - 1. assign V124211 = V966671. assign V060615 = V773685 + 1. assign V539655 = V705163. assign V872092 = V842846 - 1. assign V412238 = V854877 + 1. assign V602660 = V099723 + 1. assign V219217 = V673193. assign V142993 = V065163. assign V916157 = V928410 - 1. assign V854877 = V665006 - 1. assign V410241 = V298809 + 1. assign V715215 = V118363 + 1. assign V390668 = V015478. assign V949536 = V854877. assign V922758 = V163561. assign V385019 = V986992. assign V340029 = V773440. assign V587791 = V552564. assign V979950 = 6. assign V975067 = V937807. assign V274524 = V282330 + 1. assign V618653 = V568683. assign V568683 = V169322. assign V245133 = V390589 + 1. assign V259237 = V456546. assign V400494 = V777126 + 1. assign V323410 = V195093 - 1. assign V574707 = V977607 + 1. assign V585869 = V694996. assign V001087 = V060615 - 1. assign V559898 = V568683 - 1. assign V942217 = V385019 - 1. assign V363537 = V001099 + 1. assign V226985 = V385019. assign V520062 = V731512. assign V693479 = V861530 + 1. assign V070691 = V694996. assign V653932 = V047003 + 1. assign V264735 = V982537 + 1. assign V678891 = V975067 - 1. assign V162583 = V925967 - 1. assign V176669 = V850678 - 1. assign V556060 = V484780 + 1. assign V006710 = V001099 + 1. assign V062354 = V721127. assign V998552 = V777622 + 1. assign V977607 = V842846. assign V777622 = V589386 + 1. assign V989929 = V410241. assign V628305 = V645777 + 1. assign V708017 = V966671 + 1. assign V376482 = V322148 - 1. assign V651467 = V674376 + 1. assign V731512 = V245133 - 1. assign V392334 = V152727 - 1. assign V192406 = V925967 - 1. assign V982537 = V842846 + 1. assign V805881 = V731512 - 1. assign V057543 = V568683 - 1. assign V079464 = V602660 + 1. assign V966671 = V245133 - 1. assign V262987 = V979950 + 1. assign V332118 = V989929 + 1. assign V944571 = V674376 - 1. assign V552564 = V322148 + 1. assign V922522 = V762663 - 1. assign V773440 = V385019. assign V163561 = V944571 + 1. assign V433390 = V754151 + 1. assign V065163 = V169322 - 1. assign V665006 = V169322. assign V015478 = V169322 - 1. assign V338099 = V054896 - 1. assign V827764 = V966671. assign V454899 = V874911 - 1. assign V001099 = V665006. assign V555407 = V057543 - 1. assign V626668 = V982537 - 1. assign V351511 = V982537 + 1. assign V814704 = V625514. assign V415689 = V169322 - 1. assign V456546 = V552564. assign V874911 = V057543 + 1. assign V167035 = V245133. assign V068509 = V949536 + 1. assign V792958 = V142993 - 1. assign V069695 = V982537. assign V846597 = V612003 - 1. assign V324171 = V473020. assign V282330 = V245133. assign V883370 = V412238 - 1. assign V645777 = V842846. assign V794480 = V473020 + 1. assign V234955 = V942217. assign V864320 = V916157 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV979950 = 6;\n\nFrom these direct assignment(s), we have: \nV262987 = V979950 + 1 = 6 + 1 =7;\nNo other variables can be derived from V262987;\nNo other variables can be derived from V979950;\n\nNow we have done all the calculations. Derived variables are:\nV979950 = 6;\nV262987 = 7;\n\nNow we have finished this problem. ANSWER:\nV262987\n", "role": "assistant" } ]

[ "V383747" ]

[ { "content": "<context>\nassign V595016 = V460617 + 1. assign V421120 = V062088. assign V386436 = V458621 + 1. assign V850354 = V596512 - 1. assign V841945 = V135737. assign V242396 = V846191 - 1. assign V300602 = V544333 - 1. assign V957859 = V008294. assign V438694 = V583674 - 1. assign V596512 = V599669 + 1. assign V320032 = V868830 - 1. assign V156300 = V912185 - 1. assign V668318 = V656619 + 1. assign V938452 = V249551 - 1. assign V593703 = V653851 + 1. assign V894942 = V458621. assign V920965 = V053685 - 1. assign V062088 = V763461 + 1. assign V870934 = V490756 - 1. assign V846191 = V435696 - 1. assign V213447 = V135737 + 1. assign V575640 = V405535. assign V209671 = V435696 - 1. assign V810526 = V912185 + 1. assign V653851 = V362828 + 1. assign V693061 = V249551 - 1. assign V950346 = V929459 + 1. assign V276319 = V405535. assign V891322 = V008294 + 1. assign V719964 = V002637 + 1. assign V449676 = V643683 + 1. assign V542337 = V460617 - 1. assign V763461 = V846191 - 1. assign V124188 = V965281. assign V857091 = V213447 - 1. assign V565834 = V423377. assign V332225 = V822580 + 1. assign V166183 = V653851 - 1. assign V232897 = V449676 + 1. assign V257518 = V822580 + 1. assign V389758 = V643683 - 1. assign V903212 = V950346 - 1. assign V865022 = V791128 + 1. assign V625431 = V438694 + 1. assign V328415 = V093010 + 1. assign V928112 = V506973 + 1. assign V400864 = V093010 + 1. assign V697303 = V817986 - 1. assign V249551 = V490756 - 1. assign V216775 = V389759 - 1. assign V743883 = V599669 - 1. assign V223993 = V490756 - 1. assign V393293 = V302665. assign V817986 = V710705 - 1. assign V912185 = V447383. assign V653634 = V656103 - 1. assign V650616 = V398107 - 1. assign V040334 = V458621 + 1. assign V725482 = V099581. assign V284837 = V362828 - 1. assign V836551 = V209671 - 1. assign V937573 = V846191. assign V895901 = V438694 + 1. assign V791128 = V575640 - 1. assign V230493 = V791128 - 1. assign V656619 = V179547 - 1. assign V002637 = V625431 + 1. assign V131425 = V506973. assign V868830 = V300602. assign V490756 = V242396 + 1. assign V695196 = V458621 - 1. assign V015629 = V435696 + 1. assign V447383 = V846191. assign V537280 = V864056 + 1. assign V272225 = V199797 + 1. assign V164162 = V924343 + 1. assign V082913 = V599669 - 1. assign V405535 = V643683. assign V757509 = V002637 - 1. assign V656103 = V438694 - 1. assign V458621 = V008294. assign V398107 = V249551 + 1. assign V328639 = V929459 - 1. assign V356302 = V506973 + 1. assign V545945 = V912185 + 1. assign V864162 = V135737 - 1. assign V514837 = V435696 + 1. assign V328156 = V389758 - 1. assign V233628 = V423377 + 1. assign V375901 = V435696. assign V610508 = V810526 + 1. assign V280369 = V346611 - 1. assign V435696 = V405535 - 1. assign V835818 = V135737 + 1. assign V362828 = V460617. assign V599669 = V438694 + 1. assign V675958 = V864427 - 1. assign V483115 = V393293 - 1. assign V135737 = V449676 + 1. assign V603921 = V924343 - 1. assign V553173 = V835818. assign V044074 = V375901 - 1. assign V793548 = V599669. assign V460617 = V449676 - 1. assign V222410 = V643683 + 1. assign V099581 = V643683 - 1. assign V619962 = V362828 - 1. assign V822580 = V458621 + 1. assign V052432 = V249551 + 1. assign V389759 = V460617. assign V579311 = V093010. assign V257859 = V822580 + 1. assign V445570 = V222410 + 1. assign V008294 = V653851 + 1. assign V601937 = V603921 - 1. assign V053685 = V449676. assign V114952 = V846191 - 1. assign V199797 = V449676. assign V068481 = V040334 + 1. assign V003221 = V825208. assign V918615 = V460617 + 1. assign V213696 = V209671 - 1. assign V086282 = V222410 + 1. assign V583674 = V435696. assign V302665 = V846191. assign V062394 = V864162 + 1. assign V055988 = V950346. assign V864427 = V579311 - 1. assign V773831 = V302665 - 1. assign V346611 = V950346. assign V965488 = V062394. assign V506973 = V846191. assign V383747 = 1. assign V864056 = V359483. assign V681127 = V328415 - 1. assign V351825 = V693061. assign V924343 = V284837. assign V625341 = V416698. assign V235700 = V140130 - 1. assign V416698 = V359483. assign V837391 = V257859 - 1. assign V682319 = V791128 - 1. assign V359483 = V438694. assign V179547 = V008294 + 1. assign V185949 = V693061 + 1. assign V702243 = V284837 + 1. assign V710705 = V929459 - 1. assign V045307 = V643683. assign V522400 = V040334 + 1. assign V721667 = V928112 + 1. assign V093010 = V435696 - 1. assign V140130 = V284837. assign V122153 = V603921. assign V423377 = V449676 - 1. assign V043360 = V810526. assign V249026 = V791128. assign V825208 = V938452. assign V799642 = V131425. assign V207121 = V846191 + 1. assign V789414 = V166183. assign V544640 = V544333. assign V073033 = V458621 + 1. assign V864970 = V389758. assign V696386 = V405535 + 1. assign V442512 = V920965 + 1. assign V534063 = V302665 - 1. assign V544333 = V114952. assign V929459 = V053685 + 1. assign V965281 = V643683. assign V702721 = V864056 - 1. assign V333551 = V929459 - 1. assign V694918 = V383747 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V595016 = V460617 + 1. assign V421120 = V062088. assign V386436 = V458621 + 1. assign V850354 = V596512 - 1. assign V841945 = V135737. assign V242396 = V846191 - 1. assign V300602 = V544333 - 1. assign V957859 = V008294. assign V438694 = V583674 - 1. assign V596512 = V599669 + 1. assign V320032 = V868830 - 1. assign V156300 = V912185 - 1. assign V668318 = V656619 + 1. assign V938452 = V249551 - 1. assign V593703 = V653851 + 1. assign V894942 = V458621. assign V920965 = V053685 - 1. assign V062088 = V763461 + 1. assign V870934 = V490756 - 1. assign V846191 = V435696 - 1. assign V213447 = V135737 + 1. assign V575640 = V405535. assign V209671 = V435696 - 1. assign V810526 = V912185 + 1. assign V653851 = V362828 + 1. assign V693061 = V249551 - 1. assign V950346 = V929459 + 1. assign V276319 = V405535. assign V891322 = V008294 + 1. assign V719964 = V002637 + 1. assign V449676 = V643683 + 1. assign V542337 = V460617 - 1. assign V763461 = V846191 - 1. assign V124188 = V965281. assign V857091 = V213447 - 1. assign V565834 = V423377. assign V332225 = V822580 + 1. assign V166183 = V653851 - 1. assign V232897 = V449676 + 1. assign V257518 = V822580 + 1. assign V389758 = V643683 - 1. assign V903212 = V950346 - 1. assign V865022 = V791128 + 1. assign V625431 = V438694 + 1. assign V328415 = V093010 + 1. assign V928112 = V506973 + 1. assign V400864 = V093010 + 1. assign V697303 = V817986 - 1. assign V249551 = V490756 - 1. assign V216775 = V389759 - 1. assign V743883 = V599669 - 1. assign V223993 = V490756 - 1. assign V393293 = V302665. assign V817986 = V710705 - 1. assign V912185 = V447383. assign V653634 = V656103 - 1. assign V650616 = V398107 - 1. assign V040334 = V458621 + 1. assign V725482 = V099581. assign V284837 = V362828 - 1. assign V836551 = V209671 - 1. assign V937573 = V846191. assign V895901 = V438694 + 1. assign V791128 = V575640 - 1. assign V230493 = V791128 - 1. assign V656619 = V179547 - 1. assign V002637 = V625431 + 1. assign V131425 = V506973. assign V868830 = V300602. assign V490756 = V242396 + 1. assign V695196 = V458621 - 1. assign V015629 = V435696 + 1. assign V447383 = V846191. assign V537280 = V864056 + 1. assign V272225 = V199797 + 1. assign V164162 = V924343 + 1. assign V082913 = V599669 - 1. assign V405535 = V643683. assign V757509 = V002637 - 1. assign V656103 = V438694 - 1. assign V458621 = V008294. assign V398107 = V249551 + 1. assign V328639 = V929459 - 1. assign V356302 = V506973 + 1. assign V545945 = V912185 + 1. assign V864162 = V135737 - 1. assign V514837 = V435696 + 1. assign V328156 = V389758 - 1. assign V233628 = V423377 + 1. assign V375901 = V435696. assign V610508 = V810526 + 1. assign V280369 = V346611 - 1. assign V435696 = V405535 - 1. assign V835818 = V135737 + 1. assign V362828 = V460617. assign V599669 = V438694 + 1. assign V675958 = V864427 - 1. assign V483115 = V393293 - 1. assign V135737 = V449676 + 1. assign V603921 = V924343 - 1. assign V553173 = V835818. assign V044074 = V375901 - 1. assign V793548 = V599669. assign V460617 = V449676 - 1. assign V222410 = V643683 + 1. assign V099581 = V643683 - 1. assign V619962 = V362828 - 1. assign V822580 = V458621 + 1. assign V052432 = V249551 + 1. assign V389759 = V460617. assign V579311 = V093010. assign V257859 = V822580 + 1. assign V445570 = V222410 + 1. assign V008294 = V653851 + 1. assign V601937 = V603921 - 1. assign V053685 = V449676. assign V114952 = V846191 - 1. assign V199797 = V449676. assign V068481 = V040334 + 1. assign V003221 = V825208. assign V918615 = V460617 + 1. assign V213696 = V209671 - 1. assign V086282 = V222410 + 1. assign V583674 = V435696. assign V302665 = V846191. assign V062394 = V864162 + 1. assign V055988 = V950346. assign V864427 = V579311 - 1. assign V773831 = V302665 - 1. assign V346611 = V950346. assign V965488 = V062394. assign V506973 = V846191. assign V383747 = 1. assign V864056 = V359483. assign V681127 = V328415 - 1. assign V351825 = V693061. assign V924343 = V284837. assign V625341 = V416698. assign V235700 = V140130 - 1. assign V416698 = V359483. assign V837391 = V257859 - 1. assign V682319 = V791128 - 1. assign V359483 = V438694. assign V179547 = V008294 + 1. assign V185949 = V693061 + 1. assign V702243 = V284837 + 1. assign V710705 = V929459 - 1. assign V045307 = V643683. assign V522400 = V040334 + 1. assign V721667 = V928112 + 1. assign V093010 = V435696 - 1. assign V140130 = V284837. assign V122153 = V603921. assign V423377 = V449676 - 1. assign V043360 = V810526. assign V249026 = V791128. assign V825208 = V938452. assign V799642 = V131425. assign V207121 = V846191 + 1. assign V789414 = V166183. assign V544640 = V544333. assign V073033 = V458621 + 1. assign V864970 = V389758. assign V696386 = V405535 + 1. assign V442512 = V920965 + 1. assign V534063 = V302665 - 1. assign V544333 = V114952. assign V929459 = V053685 + 1. assign V965281 = V643683. assign V702721 = V864056 - 1. assign V333551 = V929459 - 1. assign V694918 = V383747 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV383747 = 1;\n\nFrom these direct assignment(s), we have: \nV694918 = V383747 + 1 = 1 + 1 =2;\nNo other variables can be derived from V694918;\nNo other variables can be derived from V383747;\n\nNow we have done all the calculations. Derived variables are:\nV383747 = 1;\nV694918 = 2;\n\nNow we have finished this problem. ANSWER:\nV383747\n", "role": "assistant" } ]

[ "V313956" ]

[ { "content": "<context>\nassign V605768 = V424461 + 1. assign V254120 = V172428. assign V751150 = V932072 - 1. assign V312585 = V797645 + 1. assign V937691 = V223312 + 1. assign V055308 = V293667 - 1. assign V319571 = V938423. assign V737636 = V710584. assign V325976 = V509912 - 1. assign V098385 = V089656. assign V436635 = V236145 + 1. assign V270892 = V691691 + 1. assign V678125 = V388690 - 1. assign V619785 = V948684 + 1. assign V405002 = V534185 - 1. assign V967108 = V376575. assign V670569 = V942541 - 1. assign V376575 = V254120. assign V788821 = V797645 + 1. assign V708491 = V223312 + 1. assign V565423 = V405002 - 1. assign V089656 = V251039 - 1. assign V708945 = V510864 + 1. assign V248215 = V403184. assign V056140 = V675631 + 1. assign V535156 = V314382 + 1. assign V063261 = V485688 - 1. assign V848992 = V715889 + 1. assign V786133 = V864340 + 1. assign V401538 = V335422 + 1. assign V621863 = V712907 + 1. assign V847134 = V718625 - 1. assign V351633 = V125394. assign V059927 = V476559 - 1. assign V560009 = V864340 + 1. assign V293667 = V509912 + 1. assign V616319 = V957259. assign V588727 = V471004 + 1. assign V233342 = V718625 + 1. assign V914784 = V251039 + 1. assign V112223 = V808374. assign V524362 = V698597 - 1. assign V388690 = V524362 + 1. assign V316283 = V723272 - 1. assign V748379 = V818160 - 1. assign V032362 = V698597. assign V603306 = V745887. assign V264126 = V169718 + 1. assign V723272 = V765191. assign V938423 = V819151 - 1. assign V471004 = V786133 - 1. assign V326518 = V745887 + 1. assign V251039 = V481279 + 1. assign V525977 = V444776 + 1. assign V942541 = V509912. assign V934071 = V715889 - 1. assign V125394 = V675631 - 1. assign V436883 = V078624 - 1. assign V710584 = V140941. assign V248557 = V588727 - 1. assign V335422 = V316283 + 1. assign V232316 = V425690 - 1. assign V957259 = V471004 - 1. assign V425690 = V670569. assign V808374 = V725862 - 1. assign V111949 = V098385 + 1. assign V989506 = V725862. assign V509912 = V765191 - 1. assign V775503 = V351633. assign V922683 = V169718 + 1. assign V274023 = V715889. assign V718625 = V765191 - 1. assign V768951 = V820399. assign V200255 = V118641. assign V704352 = V748379. assign V765632 = V675631 + 1. assign V246650 = V172428. assign V976813 = V934071 + 1. assign V848957 = V293667 - 1. assign V437351 = V425690. assign V763500 = V341990 - 1. assign V291485 = V223312 - 1. assign V581142 = V232316. assign V313956 = 8. assign V698597 = V509912 + 1. assign V672322 = V509912. assign V796556 = V140941 + 1. assign V623052 = V765191 - 1. assign V819086 = V712907. assign V056152 = V809652 + 1. assign V732070 = V471004 + 1. assign V680958 = V313956 - 1. assign V948684 = V560009 + 1. assign V901766 = V172428. assign V860763 = V848992. assign V789337 = V401538. assign V172428 = V712907. assign V697849 = V605768 - 1. assign V918293 = V848992 + 1. assign V600882 = V603306. assign V864340 = V236145 + 1. assign V515709 = V745887 + 1. assign V452254 = V732070 + 1. assign V187472 = V098954. assign V979166 = V698597 - 1. assign V704309 = V232316 + 1. assign V809652 = V424461 + 1. assign V291794 = V535156 + 1. assign V958507 = V932072 + 1. assign V341990 = V809652 - 1. assign V948304 = V236145 + 1. assign V873415 = V718625 + 1. assign V619736 = V621863 + 1. assign V828860 = V019685 - 1. assign V593588 = V078624 + 1. assign V236145 = V509912 + 1. assign V568466 = V254120 + 1. assign V897398 = V515709. assign V245754 = V958507 + 1. assign V797645 = V914784 + 1. assign V223312 = V314382 + 1. assign V704194 = V675631 - 1. assign V510864 = V675631. assign V712907 = V715889 - 1. assign V140961 = V499888 + 1. assign V078624 = V524362. assign V715889 = V436635. assign V456065 = V078624 - 1. assign V140941 = V032362 - 1. assign V444776 = V560009 + 1. assign V691691 = V499888 + 1. assign V657861 = V316283. assign V325698 = V254120 + 1. assign V614364 = V246650 + 1. assign V777742 = V291485 + 1. assign V499888 = V723272. assign V775124 = V848992 + 1. assign V492879 = V732070 + 1. assign V338377 = V140961. assign V275107 = V251039. assign V481279 = V765191 + 1. assign V242915 = V233342. assign V613040 = V510864 - 1. assign V019685 = V436635 - 1. assign V818160 = V452254 - 1. assign V957183 = V698597 + 1. assign V403184 = V471004 - 1. assign V485688 = V436635 - 1. assign V314382 = V509912 - 1. assign V745887 = V864340 + 1. assign V424461 = V698597. assign V675631 = V481279 + 1. assign V098954 = V509912 + 1. assign V803780 = V524362 + 1. assign V819151 = V786133 + 1. assign V661919 = V452254. assign V725862 = V560009. assign V820399 = V233342 + 1. assign V155535 = V675631 - 1. assign V202149 = V509912 + 1. assign V174027 = V248215. assign V953629 = V670569 - 1. assign V169718 = V078624 + 1. assign V088524 = V524362. assign V932072 = V786133. assign V680007 = V485688. assign V638840 = V063261. assign V534185 = V019685. assign V228794 = V456065 + 1. assign V118641 = V698597 + 1. assign V476559 = V621863 + 1. assign V993989 = V444776 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V605768 = V424461 + 1. assign V254120 = V172428. assign V751150 = V932072 - 1. assign V312585 = V797645 + 1. assign V937691 = V223312 + 1. assign V055308 = V293667 - 1. assign V319571 = V938423. assign V737636 = V710584. assign V325976 = V509912 - 1. assign V098385 = V089656. assign V436635 = V236145 + 1. assign V270892 = V691691 + 1. assign V678125 = V388690 - 1. assign V619785 = V948684 + 1. assign V405002 = V534185 - 1. assign V967108 = V376575. assign V670569 = V942541 - 1. assign V376575 = V254120. assign V788821 = V797645 + 1. assign V708491 = V223312 + 1. assign V565423 = V405002 - 1. assign V089656 = V251039 - 1. assign V708945 = V510864 + 1. assign V248215 = V403184. assign V056140 = V675631 + 1. assign V535156 = V314382 + 1. assign V063261 = V485688 - 1. assign V848992 = V715889 + 1. assign V786133 = V864340 + 1. assign V401538 = V335422 + 1. assign V621863 = V712907 + 1. assign V847134 = V718625 - 1. assign V351633 = V125394. assign V059927 = V476559 - 1. assign V560009 = V864340 + 1. assign V293667 = V509912 + 1. assign V616319 = V957259. assign V588727 = V471004 + 1. assign V233342 = V718625 + 1. assign V914784 = V251039 + 1. assign V112223 = V808374. assign V524362 = V698597 - 1. assign V388690 = V524362 + 1. assign V316283 = V723272 - 1. assign V748379 = V818160 - 1. assign V032362 = V698597. assign V603306 = V745887. assign V264126 = V169718 + 1. assign V723272 = V765191. assign V938423 = V819151 - 1. assign V471004 = V786133 - 1. assign V326518 = V745887 + 1. assign V251039 = V481279 + 1. assign V525977 = V444776 + 1. assign V942541 = V509912. assign V934071 = V715889 - 1. assign V125394 = V675631 - 1. assign V436883 = V078624 - 1. assign V710584 = V140941. assign V248557 = V588727 - 1. assign V335422 = V316283 + 1. assign V232316 = V425690 - 1. assign V957259 = V471004 - 1. assign V425690 = V670569. assign V808374 = V725862 - 1. assign V111949 = V098385 + 1. assign V989506 = V725862. assign V509912 = V765191 - 1. assign V775503 = V351633. assign V922683 = V169718 + 1. assign V274023 = V715889. assign V718625 = V765191 - 1. assign V768951 = V820399. assign V200255 = V118641. assign V704352 = V748379. assign V765632 = V675631 + 1. assign V246650 = V172428. assign V976813 = V934071 + 1. assign V848957 = V293667 - 1. assign V437351 = V425690. assign V763500 = V341990 - 1. assign V291485 = V223312 - 1. assign V581142 = V232316. assign V313956 = 8. assign V698597 = V509912 + 1. assign V672322 = V509912. assign V796556 = V140941 + 1. assign V623052 = V765191 - 1. assign V819086 = V712907. assign V056152 = V809652 + 1. assign V732070 = V471004 + 1. assign V680958 = V313956 - 1. assign V948684 = V560009 + 1. assign V901766 = V172428. assign V860763 = V848992. assign V789337 = V401538. assign V172428 = V712907. assign V697849 = V605768 - 1. assign V918293 = V848992 + 1. assign V600882 = V603306. assign V864340 = V236145 + 1. assign V515709 = V745887 + 1. assign V452254 = V732070 + 1. assign V187472 = V098954. assign V979166 = V698597 - 1. assign V704309 = V232316 + 1. assign V809652 = V424461 + 1. assign V291794 = V535156 + 1. assign V958507 = V932072 + 1. assign V341990 = V809652 - 1. assign V948304 = V236145 + 1. assign V873415 = V718625 + 1. assign V619736 = V621863 + 1. assign V828860 = V019685 - 1. assign V593588 = V078624 + 1. assign V236145 = V509912 + 1. assign V568466 = V254120 + 1. assign V897398 = V515709. assign V245754 = V958507 + 1. assign V797645 = V914784 + 1. assign V223312 = V314382 + 1. assign V704194 = V675631 - 1. assign V510864 = V675631. assign V712907 = V715889 - 1. assign V140961 = V499888 + 1. assign V078624 = V524362. assign V715889 = V436635. assign V456065 = V078624 - 1. assign V140941 = V032362 - 1. assign V444776 = V560009 + 1. assign V691691 = V499888 + 1. assign V657861 = V316283. assign V325698 = V254120 + 1. assign V614364 = V246650 + 1. assign V777742 = V291485 + 1. assign V499888 = V723272. assign V775124 = V848992 + 1. assign V492879 = V732070 + 1. assign V338377 = V140961. assign V275107 = V251039. assign V481279 = V765191 + 1. assign V242915 = V233342. assign V613040 = V510864 - 1. assign V019685 = V436635 - 1. assign V818160 = V452254 - 1. assign V957183 = V698597 + 1. assign V403184 = V471004 - 1. assign V485688 = V436635 - 1. assign V314382 = V509912 - 1. assign V745887 = V864340 + 1. assign V424461 = V698597. assign V675631 = V481279 + 1. assign V098954 = V509912 + 1. assign V803780 = V524362 + 1. assign V819151 = V786133 + 1. assign V661919 = V452254. assign V725862 = V560009. assign V820399 = V233342 + 1. assign V155535 = V675631 - 1. assign V202149 = V509912 + 1. assign V174027 = V248215. assign V953629 = V670569 - 1. assign V169718 = V078624 + 1. assign V088524 = V524362. assign V932072 = V786133. assign V680007 = V485688. assign V638840 = V063261. assign V534185 = V019685. assign V228794 = V456065 + 1. assign V118641 = V698597 + 1. assign V476559 = V621863 + 1. assign V993989 = V444776 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV313956 = 8;\n\nFrom these direct assignment(s), we have: \nV680958 = V313956 - 1 = 8 - 1 =7;\nNo other variables can be derived from V680958;\nNo other variables can be derived from V313956;\n\nNow we have done all the calculations. Derived variables are:\nV313956 = 8;\nV680958 = 7;\n\nNow we have finished this problem. ANSWER:\nV313956\n", "role": "assistant" } ]

[ "V442396" ]

[ { "content": "<context>\nassign V355385 = V355325 + 1. assign V203910 = V084141 - 1. assign V082397 = V650856 + 1. assign V228555 = V650856 - 1. assign V300391 = V524916. assign V518796 = V750066. assign V704935 = V055109. assign V938166 = V767687 - 1. assign V170446 = V836209 + 1. assign V293188 = V680876. assign V771035 = V939835. assign V407634 = V472846. assign V084141 = V955643 + 1. assign V287444 = V955643 + 1. assign V170056 = V662606 + 1. assign V101459 = V971789 - 1. assign V514796 = V463227 - 1. assign V838959 = V771035 - 1. assign V442396 = 0. assign V642067 = V903404 + 1. assign V797872 = V160972 - 1. assign V889262 = V771035 - 1. assign V463227 = V283533 + 1. assign V114071 = V662606 + 1. assign V662061 = V055109 - 1. assign V007493 = V827414. assign V873602 = V971789. assign V537266 = V220814. assign V451963 = V007493 - 1. assign V348495 = V955643 - 1. assign V565023 = V892704 + 1. assign V460442 = V662606. assign V873526 = V750066 + 1. assign V210989 = V102557 - 1. assign V734668 = V838959 - 1. assign V035021 = V385106 - 1. assign V947589 = V922535 + 1. assign V229656 = V227361. assign V666172 = V650856 - 1. assign V662606 = V827414 + 1. assign V434429 = V300391. assign V396030 = V114071 - 1. assign V481920 = V114071 + 1. assign V564637 = V750066 + 1. assign V087343 = V161697 - 1. assign V355692 = V701530. assign V358707 = V084141 + 1. assign V954562 = V939835. assign V750066 = V771035 + 1. assign V244454 = V948449 - 1. assign V992085 = V396030. assign V347779 = V009457 + 1. assign V634188 = V442396 + 1. assign V187355 = V387827 + 1. assign V971789 = V102557 + 1. assign V161697 = V043548. assign V183366 = V206021. assign V203285 = V298204 - 1. assign V343495 = V802501 + 1. assign V021951 = V954562 + 1. assign V013008 = V391767 - 1. assign V606336 = V283533 - 1. assign V706744 = V588500. assign V889878 = V374693. assign V356208 = V836209 - 1. assign V462955 = V472846 - 1. assign V944240 = V515990 + 1. assign V717186 = V250683. assign V319157 = V649243 + 1. assign V055109 = V767687. assign V585216 = V838959 + 1. assign V467737 = V079946. assign V726500 = V873602. assign V157306 = V463227 - 1. assign V972073 = V415726 - 1. assign V180838 = V750066 - 1. assign V589689 = V649243 + 1. assign V250683 = V954562 - 1. assign V691288 = V920239 - 1. assign V920239 = V244454. assign V649243 = V157306. assign V415726 = V662606 - 1. assign V827414 = V196989 + 1. assign V859215 = V374693 - 1. assign V802501 = V287444. assign V485754 = V210989 + 1. assign V588500 = V021951 - 1. assign V740755 = V244454. assign V955643 = V954562. assign V391767 = V250683. assign V680876 = V662606. assign V807147 = V220814. assign V430895 = V079946 - 1. assign V499706 = V846158. assign V995053 = V387827 + 1. assign V530737 = V283533 - 1. assign V774061 = V127639 - 1. assign V355325 = V356208 - 1. assign V030174 = V939835 + 1. assign V079946 = V893689 + 1. assign V937059 = V524916 + 1. assign V715163 = V537266 + 1. assign V137698 = V771035. assign V160972 = V701530 + 1. assign V693800 = V530737. assign V948449 = V838959 + 1. assign V298204 = V463227. assign V513651 = V564637 + 1. assign V823854 = V329576 + 1. assign V227361 = V873526. assign V917718 = V771035 + 1. assign V387827 = V564637 + 1. assign V723065 = V227361 + 1. assign V998139 = V035021 - 1. assign V115018 = V200167. assign V988792 = V463227 + 1. assign V113045 = V650856 - 1. assign V734629 = V102557 - 1. assign V515990 = V771035 + 1. assign V196989 = V250683. assign V563983 = V717186. assign V892704 = V836209 - 1. assign V522970 = V355325 - 1. assign V652399 = V300391. assign V783414 = V021951. assign V846158 = V463227. assign V893689 = V283533. assign V121060 = V242684 - 1. assign V650856 = V954562 - 1. assign V988286 = V750066 - 1. assign V836209 = V954562. assign V242684 = V846158 - 1. assign V166746 = V750066 - 1. assign V005226 = V564637 - 1. assign V374693 = V922535 - 1. assign V075217 = V650856 + 1. assign V009457 = V180838. assign V206021 = V767687 + 1. assign V150357 = V524916. assign V102557 = V283533. assign V611903 = V460442 + 1. assign V767687 = V838959 - 1. assign V166128 = V423078 - 1. assign V252738 = V229656. assign V472846 = V992085 + 1. assign V206174 = V922535 + 1. assign V300548 = V170056. assign V664412 = V348495 + 1. assign V955075 = V157306 - 1. assign V283533 = V939835 + 1. assign V130984 = V955075 - 1. assign V701530 = V499706 + 1. assign V632758 = V481920 + 1. assign V127639 = V873526 - 1. assign V220814 = V180838 + 1. assign V208805 = V954562 + 1. assign V340434 = V588500 - 1. assign V961303 = V680876 - 1. assign V524916 = V564637 + 1. assign V922535 = V242684 - 1. assign V178583 = V374693 - 1. assign V511064 = V971789 + 1. assign V043548 = V717186 - 1. assign V481659 = V121060 + 1. assign V251498 = V995053 + 1. assign V385106 = V513651 + 1. assign V200167 = V460442 - 1. assign V070950 = V518796 - 1. assign V329576 = V734629 + 1. assign V226770 = V166128 - 1. assign V903404 = V783414. assign V423078 = V734668.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V355385 = V355325 + 1. assign V203910 = V084141 - 1. assign V082397 = V650856 + 1. assign V228555 = V650856 - 1. assign V300391 = V524916. assign V518796 = V750066. assign V704935 = V055109. assign V938166 = V767687 - 1. assign V170446 = V836209 + 1. assign V293188 = V680876. assign V771035 = V939835. assign V407634 = V472846. assign V084141 = V955643 + 1. assign V287444 = V955643 + 1. assign V170056 = V662606 + 1. assign V101459 = V971789 - 1. assign V514796 = V463227 - 1. assign V838959 = V771035 - 1. assign V442396 = 0. assign V642067 = V903404 + 1. assign V797872 = V160972 - 1. assign V889262 = V771035 - 1. assign V463227 = V283533 + 1. assign V114071 = V662606 + 1. assign V662061 = V055109 - 1. assign V007493 = V827414. assign V873602 = V971789. assign V537266 = V220814. assign V451963 = V007493 - 1. assign V348495 = V955643 - 1. assign V565023 = V892704 + 1. assign V460442 = V662606. assign V873526 = V750066 + 1. assign V210989 = V102557 - 1. assign V734668 = V838959 - 1. assign V035021 = V385106 - 1. assign V947589 = V922535 + 1. assign V229656 = V227361. assign V666172 = V650856 - 1. assign V662606 = V827414 + 1. assign V434429 = V300391. assign V396030 = V114071 - 1. assign V481920 = V114071 + 1. assign V564637 = V750066 + 1. assign V087343 = V161697 - 1. assign V355692 = V701530. assign V358707 = V084141 + 1. assign V954562 = V939835. assign V750066 = V771035 + 1. assign V244454 = V948449 - 1. assign V992085 = V396030. assign V347779 = V009457 + 1. assign V634188 = V442396 + 1. assign V187355 = V387827 + 1. assign V971789 = V102557 + 1. assign V161697 = V043548. assign V183366 = V206021. assign V203285 = V298204 - 1. assign V343495 = V802501 + 1. assign V021951 = V954562 + 1. assign V013008 = V391767 - 1. assign V606336 = V283533 - 1. assign V706744 = V588500. assign V889878 = V374693. assign V356208 = V836209 - 1. assign V462955 = V472846 - 1. assign V944240 = V515990 + 1. assign V717186 = V250683. assign V319157 = V649243 + 1. assign V055109 = V767687. assign V585216 = V838959 + 1. assign V467737 = V079946. assign V726500 = V873602. assign V157306 = V463227 - 1. assign V972073 = V415726 - 1. assign V180838 = V750066 - 1. assign V589689 = V649243 + 1. assign V250683 = V954562 - 1. assign V691288 = V920239 - 1. assign V920239 = V244454. assign V649243 = V157306. assign V415726 = V662606 - 1. assign V827414 = V196989 + 1. assign V859215 = V374693 - 1. assign V802501 = V287444. assign V485754 = V210989 + 1. assign V588500 = V021951 - 1. assign V740755 = V244454. assign V955643 = V954562. assign V391767 = V250683. assign V680876 = V662606. assign V807147 = V220814. assign V430895 = V079946 - 1. assign V499706 = V846158. assign V995053 = V387827 + 1. assign V530737 = V283533 - 1. assign V774061 = V127639 - 1. assign V355325 = V356208 - 1. assign V030174 = V939835 + 1. assign V079946 = V893689 + 1. assign V937059 = V524916 + 1. assign V715163 = V537266 + 1. assign V137698 = V771035. assign V160972 = V701530 + 1. assign V693800 = V530737. assign V948449 = V838959 + 1. assign V298204 = V463227. assign V513651 = V564637 + 1. assign V823854 = V329576 + 1. assign V227361 = V873526. assign V917718 = V771035 + 1. assign V387827 = V564637 + 1. assign V723065 = V227361 + 1. assign V998139 = V035021 - 1. assign V115018 = V200167. assign V988792 = V463227 + 1. assign V113045 = V650856 - 1. assign V734629 = V102557 - 1. assign V515990 = V771035 + 1. assign V196989 = V250683. assign V563983 = V717186. assign V892704 = V836209 - 1. assign V522970 = V355325 - 1. assign V652399 = V300391. assign V783414 = V021951. assign V846158 = V463227. assign V893689 = V283533. assign V121060 = V242684 - 1. assign V650856 = V954562 - 1. assign V988286 = V750066 - 1. assign V836209 = V954562. assign V242684 = V846158 - 1. assign V166746 = V750066 - 1. assign V005226 = V564637 - 1. assign V374693 = V922535 - 1. assign V075217 = V650856 + 1. assign V009457 = V180838. assign V206021 = V767687 + 1. assign V150357 = V524916. assign V102557 = V283533. assign V611903 = V460442 + 1. assign V767687 = V838959 - 1. assign V166128 = V423078 - 1. assign V252738 = V229656. assign V472846 = V992085 + 1. assign V206174 = V922535 + 1. assign V300548 = V170056. assign V664412 = V348495 + 1. assign V955075 = V157306 - 1. assign V283533 = V939835 + 1. assign V130984 = V955075 - 1. assign V701530 = V499706 + 1. assign V632758 = V481920 + 1. assign V127639 = V873526 - 1. assign V220814 = V180838 + 1. assign V208805 = V954562 + 1. assign V340434 = V588500 - 1. assign V961303 = V680876 - 1. assign V524916 = V564637 + 1. assign V922535 = V242684 - 1. assign V178583 = V374693 - 1. assign V511064 = V971789 + 1. assign V043548 = V717186 - 1. assign V481659 = V121060 + 1. assign V251498 = V995053 + 1. assign V385106 = V513651 + 1. assign V200167 = V460442 - 1. assign V070950 = V518796 - 1. assign V329576 = V734629 + 1. assign V226770 = V166128 - 1. assign V903404 = V783414. assign V423078 = V734668.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV442396 = 0;\n\nFrom these direct assignment(s), we have: \nV634188 = V442396 + 1 = 0 + 1 =1;\nNo other variables can be derived from V634188;\nNo other variables can be derived from V442396;\n\nNow we have done all the calculations. Derived variables are:\nV442396 = 0;\nV634188 = 1;\n\nNow we have finished this problem. ANSWER:\nV442396\n", "role": "assistant" } ]

[ "V759316" ]

[ { "content": "<context>\nassign V892158 = V825455. assign V944085 = V645851 - 1. assign V791658 = V209532 + 1. assign V803426 = V974853 + 1. assign V422196 = V268309. assign V155932 = V792507 + 1. assign V355340 = V764278. assign V922519 = V581743. assign V037829 = V025866 + 1. assign V446289 = V521777 + 1. assign V653402 = V944085. assign V052948 = V377100 + 1. assign V069587 = V391692. assign V523027 = V259421 + 1. assign V581743 = V696141. assign V939710 = V632671. assign V096004 = V590863 + 1. assign V377100 = V716952. assign V696141 = V827747 + 1. assign V181327 = V855999 + 1. assign V046046 = V632671 - 1. assign V977490 = V645851 + 1. assign V521777 = V421341. assign V492707 = V716952 - 1. assign V460070 = V764215. assign V590863 = V037829 + 1. assign V660834 = V601413. assign V845903 = V991686 - 1. assign V091482 = V362743 + 1. assign V624654 = V052948 + 1. assign V432589 = V791658 + 1. assign V204451 = V899621. assign V391692 = V313680 - 1. assign V942550 = V761541 + 1. assign V855999 = V671135 + 1. assign V073096 = V944085 + 1. assign V987620 = V696724. assign V585014 = V945722 + 1. assign V671135 = V162953. assign V563004 = V160651 - 1. assign V292191 = V581743 + 1. assign V927845 = V792507 + 1. assign V454442 = V163080 + 1. assign V005682 = V800969 - 1. assign V401293 = V598367. assign V187841 = V828358. assign V692199 = V684953 + 1. assign V246947 = V150918. assign V209532 = V716952 + 1. assign V231628 = V696724. assign V259421 = V390125 + 1. assign V807671 = V160651. assign V828358 = V946982 - 1. assign V246378 = V827747 + 1. assign V930880 = V424497. assign V788049 = V313680 + 1. assign V349533 = V310291. assign V839925 = V807671 - 1. assign V923268 = V454442 + 1. assign V405848 = V601413. assign V261197 = V209532. assign V632671 = V103540. assign V155917 = V352875. assign V043041 = V849063 - 1. assign V313680 = V716952 + 1. assign V791815 = V839925 - 1. assign V317063 = V827747. assign V626524 = V377100 + 1. assign V433274 = V352875. assign V402615 = V590863 - 1. assign V761541 = V827747. assign V896581 = V681382 + 1. assign V390125 = V377100 - 1. assign V684953 = V385386 - 1. assign V959626 = V025866 - 1. assign V881594 = V005682. assign V555798 = V402615 - 1. assign V352875 = V025866 - 1. assign V413781 = V391692 + 1. assign V974853 = V716952 - 1. assign V183985 = V592534 - 1. assign V693938 = V052948 - 1. assign V163080 = V037829. assign V775425 = V555798 + 1. assign V496113 = V162953 - 1. assign V663970 = V209532 + 1. assign V385386 = V409960 + 1. assign V991686 = V313680 - 1. assign V946982 = V590863. assign V598367 = V788049 + 1. assign V003242 = V421341 + 1. assign V424497 = V362743. assign V811982 = V626524 + 1. assign V645851 = V422196. assign V893466 = V716952 + 1. assign V409960 = V103540 - 1. assign V103540 = V827747 - 1. assign V669306 = V896581. assign V121673 = V764215 - 1. assign V339537 = V806705 + 1. assign V088006 = V601413 + 1. assign V844014 = V946982 - 1. assign V897513 = V645851. assign V849063 = V660834 - 1. assign V652133 = V261197. assign V792507 = V563004. assign V533730 = V162953 - 1. assign V268309 = V716952. assign V349076 = V713315. assign V713315 = V581743. assign V764215 = V827747 - 1. assign V025866 = V581743 - 1. assign V892267 = V422196 + 1. assign V937580 = V791658. assign V655693 = V807671. assign V494070 = V349076. assign V013314 = V828358 + 1. assign V899621 = V892267 - 1. assign V759316 = V345457 - 1. assign V224600 = V696141. assign V716952 = V352875 + 1. assign V123572 = V154863 - 1. assign V053012 = V696724 + 1. assign V362743 = V052948 - 1. assign V986152 = V692199. assign V592534 = V046046 + 1. assign V160651 = V352875. assign V764278 = V855999. assign V949039 = V005682 + 1. assign V692190 = V405848 - 1. assign V701620 = V590863 + 1. assign V459785 = V351001. assign V113462 = V987620 + 1. assign V150579 = V385386 - 1. assign V655422 = V660834 + 1. assign V601413 = V716952 - 1. assign V698696 = V986152 + 1. assign V141886 = V292191. assign V566625 = V313680 + 1. assign V665984 = V930880 + 1. assign V683964 = V693938 - 1. assign V844101 = V069587. assign V953949 = V802289. assign V212262 = V566625 - 1. assign V421341 = V268309. assign V374556 = V953949 - 1. assign V749493 = V755999 - 1. assign V251500 = V533730 + 1. assign V310291 = V696724 - 1. assign V335586 = V764215. assign V806705 = V946982 + 1. assign V800969 = V713315. assign V150918 = V696724 + 1. assign V943207 = V046046 + 1. assign V507793 = V807671. assign V162953 = V764215 - 1. assign V704675 = V788049. assign V945722 = V788049 + 1. assign V764840 = V187841 - 1. assign V154863 = V806705. assign V351001 = V162953 + 1. assign V469383 = V187841. assign V755999 = V402615 + 1. assign V215025 = V598367. assign V681382 = V432589. assign V837764 = V684953. assign V825455 = V632671. assign V221742 = V601413. assign V345457 = 2. assign V802289 = V160651. assign V699033 = V259421 + 1. assign V696724 = V566625 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V892158 = V825455. assign V944085 = V645851 - 1. assign V791658 = V209532 + 1. assign V803426 = V974853 + 1. assign V422196 = V268309. assign V155932 = V792507 + 1. assign V355340 = V764278. assign V922519 = V581743. assign V037829 = V025866 + 1. assign V446289 = V521777 + 1. assign V653402 = V944085. assign V052948 = V377100 + 1. assign V069587 = V391692. assign V523027 = V259421 + 1. assign V581743 = V696141. assign V939710 = V632671. assign V096004 = V590863 + 1. assign V377100 = V716952. assign V696141 = V827747 + 1. assign V181327 = V855999 + 1. assign V046046 = V632671 - 1. assign V977490 = V645851 + 1. assign V521777 = V421341. assign V492707 = V716952 - 1. assign V460070 = V764215. assign V590863 = V037829 + 1. assign V660834 = V601413. assign V845903 = V991686 - 1. assign V091482 = V362743 + 1. assign V624654 = V052948 + 1. assign V432589 = V791658 + 1. assign V204451 = V899621. assign V391692 = V313680 - 1. assign V942550 = V761541 + 1. assign V855999 = V671135 + 1. assign V073096 = V944085 + 1. assign V987620 = V696724. assign V585014 = V945722 + 1. assign V671135 = V162953. assign V563004 = V160651 - 1. assign V292191 = V581743 + 1. assign V927845 = V792507 + 1. assign V454442 = V163080 + 1. assign V005682 = V800969 - 1. assign V401293 = V598367. assign V187841 = V828358. assign V692199 = V684953 + 1. assign V246947 = V150918. assign V209532 = V716952 + 1. assign V231628 = V696724. assign V259421 = V390125 + 1. assign V807671 = V160651. assign V828358 = V946982 - 1. assign V246378 = V827747 + 1. assign V930880 = V424497. assign V788049 = V313680 + 1. assign V349533 = V310291. assign V839925 = V807671 - 1. assign V923268 = V454442 + 1. assign V405848 = V601413. assign V261197 = V209532. assign V632671 = V103540. assign V155917 = V352875. assign V043041 = V849063 - 1. assign V313680 = V716952 + 1. assign V791815 = V839925 - 1. assign V317063 = V827747. assign V626524 = V377100 + 1. assign V433274 = V352875. assign V402615 = V590863 - 1. assign V761541 = V827747. assign V896581 = V681382 + 1. assign V390125 = V377100 - 1. assign V684953 = V385386 - 1. assign V959626 = V025866 - 1. assign V881594 = V005682. assign V555798 = V402615 - 1. assign V352875 = V025866 - 1. assign V413781 = V391692 + 1. assign V974853 = V716952 - 1. assign V183985 = V592534 - 1. assign V693938 = V052948 - 1. assign V163080 = V037829. assign V775425 = V555798 + 1. assign V496113 = V162953 - 1. assign V663970 = V209532 + 1. assign V385386 = V409960 + 1. assign V991686 = V313680 - 1. assign V946982 = V590863. assign V598367 = V788049 + 1. assign V003242 = V421341 + 1. assign V424497 = V362743. assign V811982 = V626524 + 1. assign V645851 = V422196. assign V893466 = V716952 + 1. assign V409960 = V103540 - 1. assign V103540 = V827747 - 1. assign V669306 = V896581. assign V121673 = V764215 - 1. assign V339537 = V806705 + 1. assign V088006 = V601413 + 1. assign V844014 = V946982 - 1. assign V897513 = V645851. assign V849063 = V660834 - 1. assign V652133 = V261197. assign V792507 = V563004. assign V533730 = V162953 - 1. assign V268309 = V716952. assign V349076 = V713315. assign V713315 = V581743. assign V764215 = V827747 - 1. assign V025866 = V581743 - 1. assign V892267 = V422196 + 1. assign V937580 = V791658. assign V655693 = V807671. assign V494070 = V349076. assign V013314 = V828358 + 1. assign V899621 = V892267 - 1. assign V759316 = V345457 - 1. assign V224600 = V696141. assign V716952 = V352875 + 1. assign V123572 = V154863 - 1. assign V053012 = V696724 + 1. assign V362743 = V052948 - 1. assign V986152 = V692199. assign V592534 = V046046 + 1. assign V160651 = V352875. assign V764278 = V855999. assign V949039 = V005682 + 1. assign V692190 = V405848 - 1. assign V701620 = V590863 + 1. assign V459785 = V351001. assign V113462 = V987620 + 1. assign V150579 = V385386 - 1. assign V655422 = V660834 + 1. assign V601413 = V716952 - 1. assign V698696 = V986152 + 1. assign V141886 = V292191. assign V566625 = V313680 + 1. assign V665984 = V930880 + 1. assign V683964 = V693938 - 1. assign V844101 = V069587. assign V953949 = V802289. assign V212262 = V566625 - 1. assign V421341 = V268309. assign V374556 = V953949 - 1. assign V749493 = V755999 - 1. assign V251500 = V533730 + 1. assign V310291 = V696724 - 1. assign V335586 = V764215. assign V806705 = V946982 + 1. assign V800969 = V713315. assign V150918 = V696724 + 1. assign V943207 = V046046 + 1. assign V507793 = V807671. assign V162953 = V764215 - 1. assign V704675 = V788049. assign V945722 = V788049 + 1. assign V764840 = V187841 - 1. assign V154863 = V806705. assign V351001 = V162953 + 1. assign V469383 = V187841. assign V755999 = V402615 + 1. assign V215025 = V598367. assign V681382 = V432589. assign V837764 = V684953. assign V825455 = V632671. assign V221742 = V601413. assign V345457 = 2. assign V802289 = V160651. assign V699033 = V259421 + 1. assign V696724 = V566625 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV345457 = 2;\n\nFrom these direct assignment(s), we have: \nV759316 = V345457 - 1 = 2 - 1 =1;\nNo other variables can be derived from V759316;\nNo other variables can be derived from V345457;\n\nNow we have done all the calculations. Derived variables are:\nV345457 = 2;\nV759316 = 1;\n\nNow we have finished this problem. ANSWER:\nV759316\n", "role": "assistant" } ]

[ "V571561" ]

[ { "content": "<context>\nassign V328692 = V292342 - 1. assign V956199 = V087533 - 1. assign V187117 = V816780 - 1. assign V659089 = V886123. assign V914146 = V697645. assign V390339 = V978898 - 1. assign V461082 = V816780 - 1. assign V924473 = V332747. assign V888852 = V222888 + 1. assign V554914 = V043588 + 1. assign V234880 = V165534 - 1. assign V092461 = V170763. assign V526664 = V376517 - 1. assign V336375 = V335336 - 1. assign V603212 = V526664 + 1. assign V292342 = V562604 - 1. assign V043768 = V470883. assign V021496 = V310434. assign V522088 = V554914. assign V092141 = V376517 + 1. assign V789213 = V213122 - 1. assign V654076 = V682346 - 1. assign V333470 = V170763. assign V217466 = V335336 + 1. assign V229152 = V222888 - 1. assign V349940 = V979909 - 1. assign V339530 = V465873 + 1. assign V438920 = V335336. assign V799012 = V659089. assign V684404 = V816780 - 1. assign V430584 = V256491 - 1. assign V256491 = V335336 + 1. assign V593104 = V058793 - 1. assign V562604 = V474319 + 1. assign V599435 = V170763 - 1. assign V501969 = V739192. assign V740745 = V502927. assign V456566 = V739192. assign V341846 = V540390 + 1. assign V213122 = V185350 - 1. assign V113221 = V148632 - 1. assign V540390 = V681410 + 1. assign V060057 = V584256. assign V051731 = V165534. assign V816780 = V778549 - 1. assign V821035 = V914146. assign V335336 = V234880 - 1. assign V132659 = V947333 - 1. assign V142764 = V409308. assign V037983 = V501969. assign V970506 = V713052 + 1. assign V681410 = V335336 + 1. assign V233025 = V037983 - 1. assign V857952 = V333470 + 1. assign V268218 = V022836. assign V445958 = V165534 - 1. assign V737165 = V376517 + 1. assign V185350 = V234880. assign V245090 = V924473. assign V574913 = V857952 - 1. assign V966735 = V213122 - 1. assign V789388 = V998070. assign V149352 = V979374. assign V265578 = V340612 + 1. assign V535537 = V231948 + 1. assign V579927 = V332747 - 1. assign V979374 = V799012 - 1. assign V452903 = V659089 - 1. assign V756254 = V799012 - 1. assign V493954 = V789388 - 1. assign V988078 = V562604. assign V467596 = V456566 - 1. assign V087533 = V279409 - 1. assign V520109 = V339530 - 1. assign V231948 = V654076. assign V625698 = V465029 - 1. assign V041004 = V336375 + 1. assign V608282 = V947333 + 1. assign V761393 = V335336 - 1. assign V842260 = V217466 + 1. assign V737262 = V799012. assign V243579 = V615142. assign V604223 = V217466 + 1. assign V978898 = V890934 + 1. assign V034445 = V681410 - 1. assign V473733 = V998070. assign V739192 = V234880 + 1. assign V975480 = V376517 + 1. assign V429835 = V668279 - 1. assign V891512 = V231948. assign V811757 = V681410 - 1. assign V365070 = V079702 + 1. assign V170763 = V234880 + 1. assign V310434 = V279409 + 1. assign V148632 = V185350 + 1. assign V079702 = V998070 + 1. assign V502927 = V234880 + 1. assign V332747 = V739192. assign V465873 = V217466 - 1. assign V896057 = V331117 - 1. assign V871262 = V217466. assign V331117 = V165796 - 1. assign V786660 = V335336. assign V643380 = V713052 - 1. assign V330059 = V465029 - 1. assign V720006 = V467596 + 1. assign V043588 = V789388 + 1. assign V408245 = V681410 - 1. assign V906305 = V467596. assign V978258 = V465029. assign V979909 = V079702 - 1. assign V804397 = V668279 - 1. assign V022836 = V501969 + 1. assign V091793 = V739192 - 1. assign V682346 = V234880 - 1. assign V887975 = V465029 + 1. assign V890934 = V165534 + 1. assign V279409 = V474543 - 1. assign V379423 = V615142. assign V584256 = V148632. assign V474543 = V474319. assign V947333 = V681410 + 1. assign V044682 = V082343 + 1. assign V165796 = V842260 + 1. assign V408872 = V562604 - 1. assign V409308 = V185350 + 1. assign V886123 = V165534 - 1. assign V291825 = V659089 - 1. assign V474319 = V165534 - 1. assign V998070 = V170763 + 1. assign V879963 = V571561 + 1. assign V722326 = V365070 - 1. assign V850356 = V429835. assign V988736 = V681410 + 1. assign V615142 = V465029. assign V828557 = V811757 + 1. assign V571561 = 6. assign V256448 = V234880 - 1. assign V779237 = V739192 + 1. assign V082343 = V470883 + 1. assign V449198 = V139828 + 1. assign V389848 = V886123 - 1. assign V668279 = V335336 - 1. assign V697645 = V654076. assign V713052 = V058793 + 1. assign V376517 = V170763 - 1. assign V115691 = V233025 - 1. assign V466689 = V608282. assign V606477 = V979909 + 1. assign V465029 = V654076 + 1. assign V561651 = V998070. assign V778549 = V739192 + 1. assign V860584 = V217466 + 1. assign V028359 = V332747 + 1. assign V470883 = V365070 - 1. assign V760141 = V682346. assign V689182 = V233025 - 1. assign V073129 = V328692. assign V594252 = V998070. assign V199501 = V185350. assign V261499 = V336375 - 1. assign V340612 = V022836. assign V395670 = V739192 - 1. assign V222888 = V408880 - 1. assign V408880 = V332747. assign V139828 = V245090 + 1. assign V066117 = V857952 - 1. assign V237460 = V261499. assign V058793 = V213122. assign V931648 = V245090 - 1. assign V168159 = V842260. assign V256660 = V060057 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V328692 = V292342 - 1. assign V956199 = V087533 - 1. assign V187117 = V816780 - 1. assign V659089 = V886123. assign V914146 = V697645. assign V390339 = V978898 - 1. assign V461082 = V816780 - 1. assign V924473 = V332747. assign V888852 = V222888 + 1. assign V554914 = V043588 + 1. assign V234880 = V165534 - 1. assign V092461 = V170763. assign V526664 = V376517 - 1. assign V336375 = V335336 - 1. assign V603212 = V526664 + 1. assign V292342 = V562604 - 1. assign V043768 = V470883. assign V021496 = V310434. assign V522088 = V554914. assign V092141 = V376517 + 1. assign V789213 = V213122 - 1. assign V654076 = V682346 - 1. assign V333470 = V170763. assign V217466 = V335336 + 1. assign V229152 = V222888 - 1. assign V349940 = V979909 - 1. assign V339530 = V465873 + 1. assign V438920 = V335336. assign V799012 = V659089. assign V684404 = V816780 - 1. assign V430584 = V256491 - 1. assign V256491 = V335336 + 1. assign V593104 = V058793 - 1. assign V562604 = V474319 + 1. assign V599435 = V170763 - 1. assign V501969 = V739192. assign V740745 = V502927. assign V456566 = V739192. assign V341846 = V540390 + 1. assign V213122 = V185350 - 1. assign V113221 = V148632 - 1. assign V540390 = V681410 + 1. assign V060057 = V584256. assign V051731 = V165534. assign V816780 = V778549 - 1. assign V821035 = V914146. assign V335336 = V234880 - 1. assign V132659 = V947333 - 1. assign V142764 = V409308. assign V037983 = V501969. assign V970506 = V713052 + 1. assign V681410 = V335336 + 1. assign V233025 = V037983 - 1. assign V857952 = V333470 + 1. assign V268218 = V022836. assign V445958 = V165534 - 1. assign V737165 = V376517 + 1. assign V185350 = V234880. assign V245090 = V924473. assign V574913 = V857952 - 1. assign V966735 = V213122 - 1. assign V789388 = V998070. assign V149352 = V979374. assign V265578 = V340612 + 1. assign V535537 = V231948 + 1. assign V579927 = V332747 - 1. assign V979374 = V799012 - 1. assign V452903 = V659089 - 1. assign V756254 = V799012 - 1. assign V493954 = V789388 - 1. assign V988078 = V562604. assign V467596 = V456566 - 1. assign V087533 = V279409 - 1. assign V520109 = V339530 - 1. assign V231948 = V654076. assign V625698 = V465029 - 1. assign V041004 = V336375 + 1. assign V608282 = V947333 + 1. assign V761393 = V335336 - 1. assign V842260 = V217466 + 1. assign V737262 = V799012. assign V243579 = V615142. assign V604223 = V217466 + 1. assign V978898 = V890934 + 1. assign V034445 = V681410 - 1. assign V473733 = V998070. assign V739192 = V234880 + 1. assign V975480 = V376517 + 1. assign V429835 = V668279 - 1. assign V891512 = V231948. assign V811757 = V681410 - 1. assign V365070 = V079702 + 1. assign V170763 = V234880 + 1. assign V310434 = V279409 + 1. assign V148632 = V185350 + 1. assign V079702 = V998070 + 1. assign V502927 = V234880 + 1. assign V332747 = V739192. assign V465873 = V217466 - 1. assign V896057 = V331117 - 1. assign V871262 = V217466. assign V331117 = V165796 - 1. assign V786660 = V335336. assign V643380 = V713052 - 1. assign V330059 = V465029 - 1. assign V720006 = V467596 + 1. assign V043588 = V789388 + 1. assign V408245 = V681410 - 1. assign V906305 = V467596. assign V978258 = V465029. assign V979909 = V079702 - 1. assign V804397 = V668279 - 1. assign V022836 = V501969 + 1. assign V091793 = V739192 - 1. assign V682346 = V234880 - 1. assign V887975 = V465029 + 1. assign V890934 = V165534 + 1. assign V279409 = V474543 - 1. assign V379423 = V615142. assign V584256 = V148632. assign V474543 = V474319. assign V947333 = V681410 + 1. assign V044682 = V082343 + 1. assign V165796 = V842260 + 1. assign V408872 = V562604 - 1. assign V409308 = V185350 + 1. assign V886123 = V165534 - 1. assign V291825 = V659089 - 1. assign V474319 = V165534 - 1. assign V998070 = V170763 + 1. assign V879963 = V571561 + 1. assign V722326 = V365070 - 1. assign V850356 = V429835. assign V988736 = V681410 + 1. assign V615142 = V465029. assign V828557 = V811757 + 1. assign V571561 = 6. assign V256448 = V234880 - 1. assign V779237 = V739192 + 1. assign V082343 = V470883 + 1. assign V449198 = V139828 + 1. assign V389848 = V886123 - 1. assign V668279 = V335336 - 1. assign V697645 = V654076. assign V713052 = V058793 + 1. assign V376517 = V170763 - 1. assign V115691 = V233025 - 1. assign V466689 = V608282. assign V606477 = V979909 + 1. assign V465029 = V654076 + 1. assign V561651 = V998070. assign V778549 = V739192 + 1. assign V860584 = V217466 + 1. assign V028359 = V332747 + 1. assign V470883 = V365070 - 1. assign V760141 = V682346. assign V689182 = V233025 - 1. assign V073129 = V328692. assign V594252 = V998070. assign V199501 = V185350. assign V261499 = V336375 - 1. assign V340612 = V022836. assign V395670 = V739192 - 1. assign V222888 = V408880 - 1. assign V408880 = V332747. assign V139828 = V245090 + 1. assign V066117 = V857952 - 1. assign V237460 = V261499. assign V058793 = V213122. assign V931648 = V245090 - 1. assign V168159 = V842260. assign V256660 = V060057 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV571561 = 6;\n\nFrom these direct assignment(s), we have: \nV879963 = V571561 + 1 = 6 + 1 =7;\nNo other variables can be derived from V879963;\nNo other variables can be derived from V571561;\n\nNow we have done all the calculations. Derived variables are:\nV571561 = 6;\nV879963 = 7;\n\nNow we have finished this problem. ANSWER:\nV571561\n", "role": "assistant" } ]

[ "V773429" ]

[ { "content": "<context>\nassign V505338 = V709606 + 1. assign V121224 = V474156 + 1. assign V663718 = V993409. assign V953040 = V360024. assign V970737 = V700799 + 1. assign V554254 = V076678. assign V135929 = V055071 - 1. assign V265384 = V365157 - 1. assign V454628 = V260198 + 1. assign V870898 = V258844 - 1. assign V883541 = V671765 - 1. assign V565325 = V649322. assign V792324 = V242617. assign V366845 = V167918 + 1. assign V573029 = V669549 + 1. assign V925796 = V462251 - 1. assign V871194 = V689302. assign V199882 = V243139 - 1. assign V975689 = V104794. assign V785371 = V888864. assign V433931 = V388471 - 1. assign V080751 = V204544 - 1. assign V669549 = V766462. assign V194099 = V378241 - 1. assign V408185 = V987417 - 1. assign V875820 = V908602. assign V512234 = V987417 + 1. assign V258844 = V659668 + 1. assign V588841 = V121111. assign V027017 = V904641 - 1. assign V139223 = V055071 + 1. assign V178825 = V408185 - 1. assign V177680 = V139223 + 1. assign V347664 = V462251 - 1. assign V284730 = V659668 + 1. assign V735758 = V497709 + 1. assign V823596 = V925796 + 1. assign V766462 = V918411 - 1. assign V328575 = V035293 + 1. assign V888864 = V987417. assign V316415 = V793357. assign V243139 = V987417. assign V993409 = V497709 - 1. assign V489682 = V735758 + 1. assign V498145 = V900651. assign V539103 = V774533 - 1. assign V497709 = V904641 + 1. assign V328653 = V925796. assign V514141 = V827951 - 1. assign V638989 = V321794 + 1. assign V028684 = V745535 + 1. assign V464058 = V554049 + 1. assign V774533 = V055071. assign V942651 = V031134 - 1. assign V127204 = V554254 - 1. assign V365157 = V638062. assign V659668 = V987417 - 1. assign V753221 = V775000. assign V523570 = V497709 - 1. assign V827951 = V946109. assign V689302 = V735758 + 1. assign V758287 = V408185 - 1. assign V528593 = V167918. assign V794675 = V988378 - 1. assign V311634 = V616518 + 1. assign V865727 = V756748 - 1. assign V553028 = V035293 - 1. assign V761742 = V307709 - 1. assign V204544 = V346313 - 1. assign V270722 = V549003 + 1. assign V478910 = V663718. assign V616518 = V885595 + 1. assign V863219 = V908602. assign V549003 = V587793 - 1. assign V946109 = V988378 + 1. assign V174540 = V587793. assign V251205 = V139223 - 1. assign V168576 = V167918. assign V055071 = V497709 + 1. assign V988378 = V649322 - 1. assign V035293 = V497709. assign V524157 = V689302 + 1. assign V045196 = 10. assign V900651 = V316415 - 1. assign V685112 = V307709 - 1. assign V474156 = V316415 + 1. assign V493985 = V483954. assign V606449 = V139223. assign V916300 = V055071. assign V883586 = V497709. assign V491594 = V638062. assign V668980 = V908602 - 1. assign V658458 = V433931 - 1. assign V831894 = V270722 - 1. assign V718754 = V243139 - 1. assign V114910 = V328575 + 1. assign V790057 = V217089 + 1. assign V334423 = V223039. assign V484334 = V815719 - 1. assign V627809 = V745535. assign V793357 = V217089 + 1. assign V260198 = V217089 - 1. assign V674678 = V122729. assign V490775 = V350803 - 1. assign V918411 = V775000 + 1. assign V695739 = V484334 + 1. assign V076678 = V135929 + 1. assign V242617 = V638062 - 1. assign V388471 = V167918. assign V031134 = V615281 - 1. assign V483954 = V168576. assign V223039 = V793357 - 1. assign V448480 = V321794 + 1. assign V184384 = V099095 + 1. assign V696640 = V988378 - 1. assign V121111 = V709606 - 1. assign V956885 = V151122 + 1. assign V887375 = V587793 + 1. assign V701207 = V242617 + 1. assign V167918 = V497709. assign V649322 = V904641 - 1. assign V461750 = V365157 - 1. assign V965764 = V718754. assign V954477 = V663718 + 1. assign V671765 = V497709 - 1. assign V262971 = V378241. assign V122729 = V489682 + 1. assign V360024 = V987417. assign V897010 = V775000 - 1. assign V346313 = V523570 + 1. assign V700799 = V696640 + 1. assign V486370 = V908602 + 1. assign V775000 = V027017 + 1. assign V151122 = V885595 + 1. assign V916443 = V954477 + 1. assign V467640 = V756748 + 1. assign V638062 = V904641 + 1. assign V099095 = V888864 + 1. assign V652582 = V659668 - 1. assign V856500 = V139223 + 1. assign V378241 = V756748 + 1. assign V104794 = V204544. assign V615281 = V549003. assign V269140 = V669549 - 1. assign V709606 = V408185. assign V587793 = V888864 + 1. assign V564186 = V167918 + 1. assign V745535 = V659668 - 1. assign V479825 = V217089. assign V908602 = V793357 + 1. assign V987417 = V260198. assign V393821 = V167918. assign V756748 = V217089 + 1. assign V876332 = V031134 - 1. assign V462251 = V378241. assign V307709 = V505338 + 1. assign V534008 = V043655 + 1. assign V554049 = V587793. assign V043655 = V528593 - 1. assign V944007 = V035293 - 1. assign V885595 = V649322. assign V737700 = V696640. assign V321794 = V792324. assign V773429 = V045196 - 1. assign V411881 = V871194 - 1. assign V568315 = V793357 + 1. assign V950789 = V871194 - 1. assign V815719 = V135929 - 1. assign V350803 = V671765 - 1. assign V677333 = V454628. assign V217089 = V497709. assign V478053 = V539103 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V505338 = V709606 + 1. assign V121224 = V474156 + 1. assign V663718 = V993409. assign V953040 = V360024. assign V970737 = V700799 + 1. assign V554254 = V076678. assign V135929 = V055071 - 1. assign V265384 = V365157 - 1. assign V454628 = V260198 + 1. assign V870898 = V258844 - 1. assign V883541 = V671765 - 1. assign V565325 = V649322. assign V792324 = V242617. assign V366845 = V167918 + 1. assign V573029 = V669549 + 1. assign V925796 = V462251 - 1. assign V871194 = V689302. assign V199882 = V243139 - 1. assign V975689 = V104794. assign V785371 = V888864. assign V433931 = V388471 - 1. assign V080751 = V204544 - 1. assign V669549 = V766462. assign V194099 = V378241 - 1. assign V408185 = V987417 - 1. assign V875820 = V908602. assign V512234 = V987417 + 1. assign V258844 = V659668 + 1. assign V588841 = V121111. assign V027017 = V904641 - 1. assign V139223 = V055071 + 1. assign V178825 = V408185 - 1. assign V177680 = V139223 + 1. assign V347664 = V462251 - 1. assign V284730 = V659668 + 1. assign V735758 = V497709 + 1. assign V823596 = V925796 + 1. assign V766462 = V918411 - 1. assign V328575 = V035293 + 1. assign V888864 = V987417. assign V316415 = V793357. assign V243139 = V987417. assign V993409 = V497709 - 1. assign V489682 = V735758 + 1. assign V498145 = V900651. assign V539103 = V774533 - 1. assign V497709 = V904641 + 1. assign V328653 = V925796. assign V514141 = V827951 - 1. assign V638989 = V321794 + 1. assign V028684 = V745535 + 1. assign V464058 = V554049 + 1. assign V774533 = V055071. assign V942651 = V031134 - 1. assign V127204 = V554254 - 1. assign V365157 = V638062. assign V659668 = V987417 - 1. assign V753221 = V775000. assign V523570 = V497709 - 1. assign V827951 = V946109. assign V689302 = V735758 + 1. assign V758287 = V408185 - 1. assign V528593 = V167918. assign V794675 = V988378 - 1. assign V311634 = V616518 + 1. assign V865727 = V756748 - 1. assign V553028 = V035293 - 1. assign V761742 = V307709 - 1. assign V204544 = V346313 - 1. assign V270722 = V549003 + 1. assign V478910 = V663718. assign V616518 = V885595 + 1. assign V863219 = V908602. assign V549003 = V587793 - 1. assign V946109 = V988378 + 1. assign V174540 = V587793. assign V251205 = V139223 - 1. assign V168576 = V167918. assign V055071 = V497709 + 1. assign V988378 = V649322 - 1. assign V035293 = V497709. assign V524157 = V689302 + 1. assign V045196 = 10. assign V900651 = V316415 - 1. assign V685112 = V307709 - 1. assign V474156 = V316415 + 1. assign V493985 = V483954. assign V606449 = V139223. assign V916300 = V055071. assign V883586 = V497709. assign V491594 = V638062. assign V668980 = V908602 - 1. assign V658458 = V433931 - 1. assign V831894 = V270722 - 1. assign V718754 = V243139 - 1. assign V114910 = V328575 + 1. assign V790057 = V217089 + 1. assign V334423 = V223039. assign V484334 = V815719 - 1. assign V627809 = V745535. assign V793357 = V217089 + 1. assign V260198 = V217089 - 1. assign V674678 = V122729. assign V490775 = V350803 - 1. assign V918411 = V775000 + 1. assign V695739 = V484334 + 1. assign V076678 = V135929 + 1. assign V242617 = V638062 - 1. assign V388471 = V167918. assign V031134 = V615281 - 1. assign V483954 = V168576. assign V223039 = V793357 - 1. assign V448480 = V321794 + 1. assign V184384 = V099095 + 1. assign V696640 = V988378 - 1. assign V121111 = V709606 - 1. assign V956885 = V151122 + 1. assign V887375 = V587793 + 1. assign V701207 = V242617 + 1. assign V167918 = V497709. assign V649322 = V904641 - 1. assign V461750 = V365157 - 1. assign V965764 = V718754. assign V954477 = V663718 + 1. assign V671765 = V497709 - 1. assign V262971 = V378241. assign V122729 = V489682 + 1. assign V360024 = V987417. assign V897010 = V775000 - 1. assign V346313 = V523570 + 1. assign V700799 = V696640 + 1. assign V486370 = V908602 + 1. assign V775000 = V027017 + 1. assign V151122 = V885595 + 1. assign V916443 = V954477 + 1. assign V467640 = V756748 + 1. assign V638062 = V904641 + 1. assign V099095 = V888864 + 1. assign V652582 = V659668 - 1. assign V856500 = V139223 + 1. assign V378241 = V756748 + 1. assign V104794 = V204544. assign V615281 = V549003. assign V269140 = V669549 - 1. assign V709606 = V408185. assign V587793 = V888864 + 1. assign V564186 = V167918 + 1. assign V745535 = V659668 - 1. assign V479825 = V217089. assign V908602 = V793357 + 1. assign V987417 = V260198. assign V393821 = V167918. assign V756748 = V217089 + 1. assign V876332 = V031134 - 1. assign V462251 = V378241. assign V307709 = V505338 + 1. assign V534008 = V043655 + 1. assign V554049 = V587793. assign V043655 = V528593 - 1. assign V944007 = V035293 - 1. assign V885595 = V649322. assign V737700 = V696640. assign V321794 = V792324. assign V773429 = V045196 - 1. assign V411881 = V871194 - 1. assign V568315 = V793357 + 1. assign V950789 = V871194 - 1. assign V815719 = V135929 - 1. assign V350803 = V671765 - 1. assign V677333 = V454628. assign V217089 = V497709. assign V478053 = V539103 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV045196 = 10;\n\nFrom these direct assignment(s), we have: \nV773429 = V045196 - 1 = 10 - 1 =9;\nNo other variables can be derived from V773429;\nNo other variables can be derived from V045196;\n\nNow we have done all the calculations. Derived variables are:\nV045196 = 10;\nV773429 = 9;\n\nNow we have finished this problem. ANSWER:\nV773429\n", "role": "assistant" } ]

[ "V305713" ]

[ { "content": "<context>\nassign V897761 = V244179. assign V223086 = V438189 + 1. assign V531640 = V473436 - 1. assign V894775 = V327889. assign V305713 = V972783 - 1. assign V265217 = V254563 - 1. assign V499925 = V113116 - 1. assign V442889 = V229435 + 1. assign V650856 = V998480 + 1. assign V616345 = V052299 + 1. assign V924249 = V526312. assign V865611 = V526312. assign V130443 = V881220 + 1. assign V448184 = V578494. assign V052299 = V580512. assign V591383 = V223086 + 1. assign V981158 = V458280 + 1. assign V497557 = V019647 + 1. assign V696271 = V979250. assign V911375 = V155399 - 1. assign V155399 = V578494 + 1. assign V232676 = V983701 + 1. assign V748856 = V677582. assign V465961 = V800885. assign V167727 = V531640 - 1. assign V788349 = V526312 + 1. assign V466636 = V692567. assign V659076 = V184958. assign V594654 = V187785 - 1. assign V908048 = V184958 - 1. assign V037789 = V906568. assign V811051 = V526312 + 1. assign V900481 = V616345 - 1. assign V201201 = V440791 + 1. assign V753899 = V052299 + 1. assign V083648 = V817582 - 1. assign V187785 = V229435. assign V964334 = V133640 - 1. assign V458280 = V658111 + 1. assign V858838 = V526312. assign V327889 = V788349 + 1. assign V407077 = V380626 + 1. assign V153451 = V858838 - 1. assign V951897 = V167727. assign V914664 = V658111 + 1. assign V580512 = V526312 + 1. assign V675112 = V751799 - 1. assign V906568 = V924249 + 1. assign V578494 = V465961. assign V503198 = V067370 + 1. assign V470974 = V981158 - 1. assign V503093 = V454276 + 1. assign V708885 = V454276 + 1. assign V466802 = V594654. assign V787559 = V100611 + 1. assign V244179 = V874135 + 1. assign V506654 = V800885 - 1. assign V800885 = V906568. assign V526754 = V897761 - 1. assign V881965 = V984576. assign V138289 = V244179 - 1. assign V794119 = V454276 - 1. assign V516430 = V984732. assign V438189 = V580512. assign V685911 = V580512 + 1. assign V604042 = V580512 + 1. assign V779977 = V133012 + 1. assign V322922 = V924249. assign V677582 = V438189. assign V821376 = V635017 - 1. assign V924369 = V212887. assign V751799 = V458280 - 1. assign V539655 = V138289. assign V763739 = V788349. assign V536709 = V865611 - 1. assign V562674 = V385018. assign V881220 = V858838 - 1. assign V361494 = V979250 + 1. assign V385018 = V658111 - 1. assign V878335 = V655428 + 1. assign V043881 = V322922 + 1. assign V280121 = V908048 + 1. assign V688179 = V794119 - 1. assign V182610 = V327889 + 1. assign V471535 = V149209 - 1. assign V426178 = V685911. assign V998480 = V788349. assign V334529 = V811051. assign V168774 = V407077 + 1. assign V471636 = V503093 + 1. assign V984732 = V124262 - 1. assign V232548 = V124262 - 1. assign V931528 = V322922. assign V380626 = V983701 + 1. assign V417020 = V497557. assign V454276 = V906568 - 1. assign V417780 = V302153. assign V216902 = V322922 + 1. assign V696767 = V874135 - 1. assign V821758 = V458280. assign V439370 = V979250 + 1. assign V229435 = V979250 + 1. assign V644787 = V497557 - 1. assign V302406 = V692567 + 1. assign V129126 = V924369 + 1. assign V635017 = V454276 - 1. assign V315997 = V149209. assign V106989 = V184958 + 1. assign V017383 = V578494. assign V554858 = V471636. assign V828960 = V983701 + 1. assign V349941 = V650856 + 1. assign V258755 = V182610 - 1. assign V962868 = V212887 - 1. assign V983701 = V924249. assign V254563 = V696271. assign V288546 = V785133 - 1. assign V885486 = V100611 - 1. assign V302153 = V828960. assign V661142 = V184958 + 1. assign V133640 = V874135 + 1. assign V984576 = V187785. assign V484055 = V187785 + 1. assign V731860 = V874135. assign V212887 = V153451 + 1. assign V382306 = V043881. assign V874135 = V983701. assign V113116 = V580512. assign V348688 = V924249 + 1. assign V664256 = V302406 - 1. assign V686175 = V604042. assign V392325 = V244179 + 1. assign V440791 = V382306 - 1. assign V836830 = V531640 + 1. assign V869570 = V881220 + 1. assign V207764 = V454276 - 1. assign V214896 = V897761. assign V626212 = V650856 - 1. assign V375962 = V526312. assign V149209 = V897761. assign V636740 = V244179 - 1. assign V067370 = V685911 + 1. assign V116898 = V067370. assign V979250 = V454276 - 1. assign V124262 = V019647 + 1. assign V639692 = V124262 + 1. assign V162034 = V865611 - 1. assign V762695 = V924249 - 1. assign V352640 = V327889 - 1. assign V552373 = V473436 + 1. assign V721897 = V182610 - 1. assign V692567 = V906568 - 1. assign V972783 = 6. assign V887557 = V473436 - 1. assign V850909 = V658111 - 1. assign V473436 = V526312. assign V655428 = V858838 + 1. assign V235083 = V984732 - 1. assign V133012 = V442889 + 1. assign V100611 = V983701. assign V718550 = V869570 - 1. assign V782537 = V900481. assign V817582 = V153451. assign V785133 = V908048 - 1. assign V134648 = V984576. assign V019647 = V983701. assign V675638 = V149209 - 1. assign V658111 = V526312 + 1. assign V887047 = V661142. assign V941562 = V779977. assign V356345 = V906568. assign V184958 = V327889.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V897761 = V244179. assign V223086 = V438189 + 1. assign V531640 = V473436 - 1. assign V894775 = V327889. assign V305713 = V972783 - 1. assign V265217 = V254563 - 1. assign V499925 = V113116 - 1. assign V442889 = V229435 + 1. assign V650856 = V998480 + 1. assign V616345 = V052299 + 1. assign V924249 = V526312. assign V865611 = V526312. assign V130443 = V881220 + 1. assign V448184 = V578494. assign V052299 = V580512. assign V591383 = V223086 + 1. assign V981158 = V458280 + 1. assign V497557 = V019647 + 1. assign V696271 = V979250. assign V911375 = V155399 - 1. assign V155399 = V578494 + 1. assign V232676 = V983701 + 1. assign V748856 = V677582. assign V465961 = V800885. assign V167727 = V531640 - 1. assign V788349 = V526312 + 1. assign V466636 = V692567. assign V659076 = V184958. assign V594654 = V187785 - 1. assign V908048 = V184958 - 1. assign V037789 = V906568. assign V811051 = V526312 + 1. assign V900481 = V616345 - 1. assign V201201 = V440791 + 1. assign V753899 = V052299 + 1. assign V083648 = V817582 - 1. assign V187785 = V229435. assign V964334 = V133640 - 1. assign V458280 = V658111 + 1. assign V858838 = V526312. assign V327889 = V788349 + 1. assign V407077 = V380626 + 1. assign V153451 = V858838 - 1. assign V951897 = V167727. assign V914664 = V658111 + 1. assign V580512 = V526312 + 1. assign V675112 = V751799 - 1. assign V906568 = V924249 + 1. assign V578494 = V465961. assign V503198 = V067370 + 1. assign V470974 = V981158 - 1. assign V503093 = V454276 + 1. assign V708885 = V454276 + 1. assign V466802 = V594654. assign V787559 = V100611 + 1. assign V244179 = V874135 + 1. assign V506654 = V800885 - 1. assign V800885 = V906568. assign V526754 = V897761 - 1. assign V881965 = V984576. assign V138289 = V244179 - 1. assign V794119 = V454276 - 1. assign V516430 = V984732. assign V438189 = V580512. assign V685911 = V580512 + 1. assign V604042 = V580512 + 1. assign V779977 = V133012 + 1. assign V322922 = V924249. assign V677582 = V438189. assign V821376 = V635017 - 1. assign V924369 = V212887. assign V751799 = V458280 - 1. assign V539655 = V138289. assign V763739 = V788349. assign V536709 = V865611 - 1. assign V562674 = V385018. assign V881220 = V858838 - 1. assign V361494 = V979250 + 1. assign V385018 = V658111 - 1. assign V878335 = V655428 + 1. assign V043881 = V322922 + 1. assign V280121 = V908048 + 1. assign V688179 = V794119 - 1. assign V182610 = V327889 + 1. assign V471535 = V149209 - 1. assign V426178 = V685911. assign V998480 = V788349. assign V334529 = V811051. assign V168774 = V407077 + 1. assign V471636 = V503093 + 1. assign V984732 = V124262 - 1. assign V232548 = V124262 - 1. assign V931528 = V322922. assign V380626 = V983701 + 1. assign V417020 = V497557. assign V454276 = V906568 - 1. assign V417780 = V302153. assign V216902 = V322922 + 1. assign V696767 = V874135 - 1. assign V821758 = V458280. assign V439370 = V979250 + 1. assign V229435 = V979250 + 1. assign V644787 = V497557 - 1. assign V302406 = V692567 + 1. assign V129126 = V924369 + 1. assign V635017 = V454276 - 1. assign V315997 = V149209. assign V106989 = V184958 + 1. assign V017383 = V578494. assign V554858 = V471636. assign V828960 = V983701 + 1. assign V349941 = V650856 + 1. assign V258755 = V182610 - 1. assign V962868 = V212887 - 1. assign V983701 = V924249. assign V254563 = V696271. assign V288546 = V785133 - 1. assign V885486 = V100611 - 1. assign V302153 = V828960. assign V661142 = V184958 + 1. assign V133640 = V874135 + 1. assign V984576 = V187785. assign V484055 = V187785 + 1. assign V731860 = V874135. assign V212887 = V153451 + 1. assign V382306 = V043881. assign V874135 = V983701. assign V113116 = V580512. assign V348688 = V924249 + 1. assign V664256 = V302406 - 1. assign V686175 = V604042. assign V392325 = V244179 + 1. assign V440791 = V382306 - 1. assign V836830 = V531640 + 1. assign V869570 = V881220 + 1. assign V207764 = V454276 - 1. assign V214896 = V897761. assign V626212 = V650856 - 1. assign V375962 = V526312. assign V149209 = V897761. assign V636740 = V244179 - 1. assign V067370 = V685911 + 1. assign V116898 = V067370. assign V979250 = V454276 - 1. assign V124262 = V019647 + 1. assign V639692 = V124262 + 1. assign V162034 = V865611 - 1. assign V762695 = V924249 - 1. assign V352640 = V327889 - 1. assign V552373 = V473436 + 1. assign V721897 = V182610 - 1. assign V692567 = V906568 - 1. assign V972783 = 6. assign V887557 = V473436 - 1. assign V850909 = V658111 - 1. assign V473436 = V526312. assign V655428 = V858838 + 1. assign V235083 = V984732 - 1. assign V133012 = V442889 + 1. assign V100611 = V983701. assign V718550 = V869570 - 1. assign V782537 = V900481. assign V817582 = V153451. assign V785133 = V908048 - 1. assign V134648 = V984576. assign V019647 = V983701. assign V675638 = V149209 - 1. assign V658111 = V526312 + 1. assign V887047 = V661142. assign V941562 = V779977. assign V356345 = V906568. assign V184958 = V327889.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV972783 = 6;\n\nFrom these direct assignment(s), we have: \nV305713 = V972783 - 1 = 6 - 1 =5;\nNo other variables can be derived from V305713;\nNo other variables can be derived from V972783;\n\nNow we have done all the calculations. Derived variables are:\nV972783 = 6;\nV305713 = 5;\n\nNow we have finished this problem. ANSWER:\nV305713\n", "role": "assistant" } ]

[ "V072725" ]

[ { "content": "<context>\nassign V526120 = V903106. assign V727851 = V354200 + 1. assign V857328 = V530410 - 1. assign V102289 = V811487 + 1. assign V833633 = V068026. assign V600920 = V070373 - 1. assign V069881 = V861753 + 1. assign V089041 = V248985 - 1. assign V530410 = V377600 - 1. assign V061454 = V597021 + 1. assign V799718 = V568558 + 1. assign V339522 = V059338 + 1. assign V673439 = V935652 - 1. assign V519098 = V057231 + 1. assign V768186 = V411969. assign V365413 = V768186. assign V244344 = V884272 + 1. assign V408669 = V165193 - 1. assign V427790 = V232115 + 1. assign V559369 = V600920. assign V241462 = V033116 + 1. assign V152292 = V846637 + 1. assign V010902 = V664197 - 1. assign V986090 = V396687 + 1. assign V664197 = V702708 + 1. assign V145221 = V607725. assign V221008 = V751204. assign V984637 = V248148 + 1. assign V597021 = V787792 + 1. assign V059338 = V969073 - 1. assign V634948 = V127871 - 1. assign V592663 = V978296 + 1. assign V973299 = V467906 - 1. assign V462592 = V568558. assign V607725 = V811487. assign V970819 = V619297 - 1. assign V511801 = V227630. assign V165193 = V554519 - 1. assign V227630 = V309871 - 1. assign V671231 = V600920 - 1. assign V642799 = V821352. assign V665974 = V426604. assign V884806 = V984637. assign V195094 = V248985 - 1. assign V377600 = V702708 - 1. assign V509859 = V136060 + 1. assign V964019 = V776659 - 1. assign V494674 = V497987 - 1. assign V356010 = V509859 - 1. assign V362711 = V365413. assign V111048 = V152292 - 1. assign V716811 = V693769 + 1. assign V188089 = V675840. assign V233092 = V427790 - 1. assign V448803 = V969073 - 1. assign V375450 = V426604. assign V579678 = V497987 + 1. assign V615176 = V294486. assign V712550 = V846637 - 1. assign V599877 = V846637 + 1. assign V854519 = V010902 - 1. assign V817598 = V866149. assign V747079 = V482063. assign V763112 = V365413. assign V675840 = V102289 + 1. assign V072725 = V172373 + 1. assign V811487 = V248148. assign V785679 = V497987 - 1. assign V571613 = V010902. assign V787792 = V811487. assign V248985 = V354200 + 1. assign V354200 = V232115. assign V105414 = V339522. assign V737422 = V600920. assign V062398 = V693769 - 1. assign V068026 = V571613 + 1. assign V932226 = V059338 - 1. assign V800434 = V647618 + 1. assign V497987 = V702708 - 1. assign V903106 = V427790. assign V128665 = V935652 + 1. assign V703548 = V597021 - 1. assign V785090 = V248985 - 1. assign V203055 = V033116 + 1. assign V920101 = V497987. assign V426604 = V102289 - 1. assign V392021 = V498774 - 1. assign V248208 = V643307 + 1. assign V821352 = V984637 - 1. assign V102298 = V973299. assign V702708 = V846637. assign V876508 = V702708 + 1. assign V869865 = V061454. assign V482063 = V655203. assign V884272 = V448803. assign V518873 = V964019 + 1. assign V888577 = V973299 - 1. assign V693769 = V427790 + 1. assign V062395 = V805112. assign V728960 = V069881. assign V595969 = V818217 - 1. assign V465772 = V751204 - 1. assign V232115 = V248148 + 1. assign V502872 = V147529. assign V380658 = V938174 + 1. assign V317975 = V938174. assign V647618 = V973299 + 1. assign V127871 = V751204. assign V811138 = V411969. assign V805112 = V354200. assign V856528 = V160972 - 1. assign V349012 = V597021. assign V568558 = V846637 + 1. assign V969073 = V530410 - 1. assign V136060 = V453968. assign V160972 = V876508 + 1. assign V495618 = V727851 + 1. assign V861753 = V702708. assign V476738 = V884272 - 1. assign V655203 = V805112. assign V214972 = V530410 - 1. assign V179804 = V248148 + 1. assign V411969 = V884806 - 1. assign V172373 = 6. assign V227317 = V986090 - 1. assign V110523 = V861753 + 1. assign V554519 = V903106 - 1. assign V309871 = V984637. assign V370902 = V365413. assign V042551 = V427790 + 1. assign V498774 = V356010 + 1. assign V070373 = V571613 + 1. assign V445156 = V145221 + 1. assign V294486 = V846637. assign V876124 = V846637 - 1. assign V751204 = V664197 - 1. assign V396687 = V354200. assign V629970 = V805112 - 1. assign V693202 = V070373 - 1. assign V303904 = V799718 + 1. assign V506045 = V984637 - 1. assign V815949 = V876124. assign V757967 = V970819 + 1. assign V938174 = V869865 + 1. assign V867528 = V876124 - 1. assign V642661 = V787792. assign V538601 = V165193. assign V913048 = V693202. assign V524925 = V575586. assign V057231 = V876508. assign V846860 = V427790 - 1. assign V147529 = V575586 + 1. assign V643307 = V530410 - 1. assign V269206 = V568558. assign V978296 = V811487 - 1. assign V644247 = V061454 + 1. assign V575586 = V600920. assign V467906 = V716811 - 1. assign V866149 = V085926 - 1. assign V935652 = V787792 + 1. assign V776659 = V903106 - 1. assign V461658 = V787792. assign V818217 = V644247. assign V556563 = V619297 + 1. assign V619297 = V461658 + 1. assign V786177 = V568558 - 1. assign V033116 = V703548 - 1. assign V453968 = V568558 - 1. assign V085926 = V799718. assign V308627 = V973299. assign V961726 = V396687. assign V846637 = V811487.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V526120 = V903106. assign V727851 = V354200 + 1. assign V857328 = V530410 - 1. assign V102289 = V811487 + 1. assign V833633 = V068026. assign V600920 = V070373 - 1. assign V069881 = V861753 + 1. assign V089041 = V248985 - 1. assign V530410 = V377600 - 1. assign V061454 = V597021 + 1. assign V799718 = V568558 + 1. assign V339522 = V059338 + 1. assign V673439 = V935652 - 1. assign V519098 = V057231 + 1. assign V768186 = V411969. assign V365413 = V768186. assign V244344 = V884272 + 1. assign V408669 = V165193 - 1. assign V427790 = V232115 + 1. assign V559369 = V600920. assign V241462 = V033116 + 1. assign V152292 = V846637 + 1. assign V010902 = V664197 - 1. assign V986090 = V396687 + 1. assign V664197 = V702708 + 1. assign V145221 = V607725. assign V221008 = V751204. assign V984637 = V248148 + 1. assign V597021 = V787792 + 1. assign V059338 = V969073 - 1. assign V634948 = V127871 - 1. assign V592663 = V978296 + 1. assign V973299 = V467906 - 1. assign V462592 = V568558. assign V607725 = V811487. assign V970819 = V619297 - 1. assign V511801 = V227630. assign V165193 = V554519 - 1. assign V227630 = V309871 - 1. assign V671231 = V600920 - 1. assign V642799 = V821352. assign V665974 = V426604. assign V884806 = V984637. assign V195094 = V248985 - 1. assign V377600 = V702708 - 1. assign V509859 = V136060 + 1. assign V964019 = V776659 - 1. assign V494674 = V497987 - 1. assign V356010 = V509859 - 1. assign V362711 = V365413. assign V111048 = V152292 - 1. assign V716811 = V693769 + 1. assign V188089 = V675840. assign V233092 = V427790 - 1. assign V448803 = V969073 - 1. assign V375450 = V426604. assign V579678 = V497987 + 1. assign V615176 = V294486. assign V712550 = V846637 - 1. assign V599877 = V846637 + 1. assign V854519 = V010902 - 1. assign V817598 = V866149. assign V747079 = V482063. assign V763112 = V365413. assign V675840 = V102289 + 1. assign V072725 = V172373 + 1. assign V811487 = V248148. assign V785679 = V497987 - 1. assign V571613 = V010902. assign V787792 = V811487. assign V248985 = V354200 + 1. assign V354200 = V232115. assign V105414 = V339522. assign V737422 = V600920. assign V062398 = V693769 - 1. assign V068026 = V571613 + 1. assign V932226 = V059338 - 1. assign V800434 = V647618 + 1. assign V497987 = V702708 - 1. assign V903106 = V427790. assign V128665 = V935652 + 1. assign V703548 = V597021 - 1. assign V785090 = V248985 - 1. assign V203055 = V033116 + 1. assign V920101 = V497987. assign V426604 = V102289 - 1. assign V392021 = V498774 - 1. assign V248208 = V643307 + 1. assign V821352 = V984637 - 1. assign V102298 = V973299. assign V702708 = V846637. assign V876508 = V702708 + 1. assign V869865 = V061454. assign V482063 = V655203. assign V884272 = V448803. assign V518873 = V964019 + 1. assign V888577 = V973299 - 1. assign V693769 = V427790 + 1. assign V062395 = V805112. assign V728960 = V069881. assign V595969 = V818217 - 1. assign V465772 = V751204 - 1. assign V232115 = V248148 + 1. assign V502872 = V147529. assign V380658 = V938174 + 1. assign V317975 = V938174. assign V647618 = V973299 + 1. assign V127871 = V751204. assign V811138 = V411969. assign V805112 = V354200. assign V856528 = V160972 - 1. assign V349012 = V597021. assign V568558 = V846637 + 1. assign V969073 = V530410 - 1. assign V136060 = V453968. assign V160972 = V876508 + 1. assign V495618 = V727851 + 1. assign V861753 = V702708. assign V476738 = V884272 - 1. assign V655203 = V805112. assign V214972 = V530410 - 1. assign V179804 = V248148 + 1. assign V411969 = V884806 - 1. assign V172373 = 6. assign V227317 = V986090 - 1. assign V110523 = V861753 + 1. assign V554519 = V903106 - 1. assign V309871 = V984637. assign V370902 = V365413. assign V042551 = V427790 + 1. assign V498774 = V356010 + 1. assign V070373 = V571613 + 1. assign V445156 = V145221 + 1. assign V294486 = V846637. assign V876124 = V846637 - 1. assign V751204 = V664197 - 1. assign V396687 = V354200. assign V629970 = V805112 - 1. assign V693202 = V070373 - 1. assign V303904 = V799718 + 1. assign V506045 = V984637 - 1. assign V815949 = V876124. assign V757967 = V970819 + 1. assign V938174 = V869865 + 1. assign V867528 = V876124 - 1. assign V642661 = V787792. assign V538601 = V165193. assign V913048 = V693202. assign V524925 = V575586. assign V057231 = V876508. assign V846860 = V427790 - 1. assign V147529 = V575586 + 1. assign V643307 = V530410 - 1. assign V269206 = V568558. assign V978296 = V811487 - 1. assign V644247 = V061454 + 1. assign V575586 = V600920. assign V467906 = V716811 - 1. assign V866149 = V085926 - 1. assign V935652 = V787792 + 1. assign V776659 = V903106 - 1. assign V461658 = V787792. assign V818217 = V644247. assign V556563 = V619297 + 1. assign V619297 = V461658 + 1. assign V786177 = V568558 - 1. assign V033116 = V703548 - 1. assign V453968 = V568558 - 1. assign V085926 = V799718. assign V308627 = V973299. assign V961726 = V396687. assign V846637 = V811487.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV172373 = 6;\n\nFrom these direct assignment(s), we have: \nV072725 = V172373 + 1 = 6 + 1 =7;\nNo other variables can be derived from V072725;\nNo other variables can be derived from V172373;\n\nNow we have done all the calculations. Derived variables are:\nV172373 = 6;\nV072725 = 7;\n\nNow we have finished this problem. ANSWER:\nV072725\n", "role": "assistant" } ]

[ "V992908", "V042120" ]

[ { "content": "<context>\nassign V330724 = V354806 + 1. assign V255178 = V755434. assign V970074 = V684439 + 1. assign V252239 = V039587 + 1. assign V689577 = V999087 + 1. assign V209633 = V468231 - 1. assign V567675 = V752846. assign V891922 = V070400 - 1. assign V905271 = V970074 + 1. assign V167234 = V586565. assign V932921 = V399430. assign V855030 = V891922. assign V119787 = V468231. assign V042120 = V992908. assign V760231 = V548861 + 1. assign V409849 = V434153. assign V687972 = V142151. assign V082445 = V244158. assign V261238 = V964694. assign V085194 = V882811. assign V417530 = V905271 + 1. assign V684644 = V902402. assign V080974 = V810226 + 1. assign V967938 = V684644 + 1. assign V047216 = V399430 + 1. assign V149603 = V261238 + 1. assign V721543 = V709960. assign V399430 = V133810. assign V560824 = V857155 - 1. assign V101651 = V368360 - 1. assign V857155 = V244158 - 1. assign V213546 = V263591 + 1. assign V602105 = V867602. assign V755349 = V086041 + 1. assign V617586 = V252239 - 1. assign V805794 = V144548. assign V038199 = V237404. assign V847849 = V097704 + 1. assign V301722 = V097704 + 1. assign V434153 = V080974 - 1. assign V444608 = V451277 + 1. assign V431780 = V114788 - 1. assign V086758 = V284766 - 1. assign V964694 = V237404. assign V549938 = V905271 + 1. assign V245172 = V919574. assign V781328 = V468231 - 1. assign V014347 = V434153 - 1. assign V263591 = V123846. assign V482412 = V086041 - 1. assign V175464 = V599061 - 1. assign V256418 = V755349 - 1. assign V558754 = V284766. assign V955460 = V752846 - 1. assign V114788 = V086041 - 1. assign V169244 = V857155 + 1. assign V755434 = V599061 - 1. assign V250367 = V085194 - 1. assign V514958 = V319963. assign V882811 = V482412. assign V376311 = V755434 + 1. assign V217713 = V922473. assign V236126 = V847849 + 1. assign V854744 = V964694 + 1. assign V219106 = V722218. assign V889786 = V284766 + 1. assign V919574 = V810226 + 1. assign V850520 = V169244 + 1. assign V191944 = V428309 - 1. assign V570887 = V354806 + 1. assign V922775 = V970074 - 1. assign V922473 = V399430. assign V428738 = V932921 + 1. assign V319963 = V752846 + 1. assign V660419 = V709960 + 1. assign V368360 = V999087. assign V700701 = V905271. assign V190712 = V829689. assign V036863 = V354806 + 1. assign V086041 = V133810 - 1. assign V453192 = V517419 + 1. assign V354806 = V284766 - 1. assign V989862 = V243459. assign V517419 = V428309 - 1. assign V472815 = V558754 + 1. assign V092806 = V190712. assign V121063 = V256418 - 1. assign V902402 = V955460 - 1. assign V133810 = V810226. assign V299481 = V689577 + 1. assign V263844 = V971284 - 1. assign V756400 = V319963 + 1. assign V979042 = V142151 + 1. assign V722218 = V709960. assign V690940 = V549938 + 1. assign V240991 = V970074 + 1. assign V548861 = V902402 - 1. assign V070400 = V752846. assign V670368 = V213546. assign V734119 = V190712 - 1. assign V502190 = V121063 - 1. assign V377747 = V070400 + 1. assign V144548 = V722218 - 1. assign V367789 = V944651 + 1. assign V284766 = V133810. assign V156344 = V324965 - 1. assign V008862 = V053064 - 1. assign V971284 = V123846 - 1. assign V053064 = V511471 + 1. assign V703539 = V955460 - 1. assign V586565 = V684644. assign V606800 = V847849 - 1. assign V784350 = V966385. assign V039587 = V175464 - 1. assign V738934 = V169244 - 1. assign V420611 = V086041. assign V051894 = V599061 + 1. assign V243459 = V112122 + 1. assign V531584 = V133810. assign V867602 = V721543 + 1. assign V123846 = V237404 - 1. assign V468231 = V850520 + 1. assign V966385 = V752846 - 1. assign V112122 = V684439. assign V425267 = V051894. assign V512481 = V082445 + 1. assign V511471 = V514958 + 1. assign V558909 = V133810 + 1. assign V900902 = V850520. assign V944651 = V324965. assign V185345 = V112122 + 1. assign V603229 = V425267. assign V192480 = V784350 - 1. assign V202845 = V891922 + 1. assign V903534 = V722218 + 1. assign V874917 = V531584 - 1. assign V116529 = V586565 - 1. assign V201880 = V755349 + 1. assign V243384 = V051894. assign V829689 = V175464 + 1. assign V244158 = V955460. assign V999087 = V175464. assign V237404 = V684439 - 1. assign V674081 = V070400 - 1. assign V544355 = V082445 + 1. assign V832462 = V829208 + 1. assign V810226 = V599061 - 1. assign V451277 = V240991. assign V619157 = V660419 - 1. assign V019637 = V434153. assign V709960 = V133810 - 1. assign V581523 = V482412 + 1. assign V962423 = V964694 + 1. assign V111257 = V237404. assign V223520 = V256418 - 1. assign V714571 = V826299 + 1. assign V826299 = V175464 - 1. assign V787094 = V255178 + 1. assign V486850 = V709960. assign V992908 = 2. assign V299617 = V558909 + 1. assign V142151 = V420611 + 1. assign V684439 = V086041 + 1. assign V219546 = V240991 + 1. assign V667757 = V142151 + 1. assign V324965 = V709960 + 1. assign V070423 = V051894. assign V829208 = V086041. assign V097704 = V080974 + 1. assign V752846 = V599061 + 1. assign V828653 = V051894 + 1. assign V428309 = V599061 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V330724 = V354806 + 1. assign V255178 = V755434. assign V970074 = V684439 + 1. assign V252239 = V039587 + 1. assign V689577 = V999087 + 1. assign V209633 = V468231 - 1. assign V567675 = V752846. assign V891922 = V070400 - 1. assign V905271 = V970074 + 1. assign V167234 = V586565. assign V932921 = V399430. assign V855030 = V891922. assign V119787 = V468231. assign V042120 = V992908. assign V760231 = V548861 + 1. assign V409849 = V434153. assign V687972 = V142151. assign V082445 = V244158. assign V261238 = V964694. assign V085194 = V882811. assign V417530 = V905271 + 1. assign V684644 = V902402. assign V080974 = V810226 + 1. assign V967938 = V684644 + 1. assign V047216 = V399430 + 1. assign V149603 = V261238 + 1. assign V721543 = V709960. assign V399430 = V133810. assign V560824 = V857155 - 1. assign V101651 = V368360 - 1. assign V857155 = V244158 - 1. assign V213546 = V263591 + 1. assign V602105 = V867602. assign V755349 = V086041 + 1. assign V617586 = V252239 - 1. assign V805794 = V144548. assign V038199 = V237404. assign V847849 = V097704 + 1. assign V301722 = V097704 + 1. assign V434153 = V080974 - 1. assign V444608 = V451277 + 1. assign V431780 = V114788 - 1. assign V086758 = V284766 - 1. assign V964694 = V237404. assign V549938 = V905271 + 1. assign V245172 = V919574. assign V781328 = V468231 - 1. assign V014347 = V434153 - 1. assign V263591 = V123846. assign V482412 = V086041 - 1. assign V175464 = V599061 - 1. assign V256418 = V755349 - 1. assign V558754 = V284766. assign V955460 = V752846 - 1. assign V114788 = V086041 - 1. assign V169244 = V857155 + 1. assign V755434 = V599061 - 1. assign V250367 = V085194 - 1. assign V514958 = V319963. assign V882811 = V482412. assign V376311 = V755434 + 1. assign V217713 = V922473. assign V236126 = V847849 + 1. assign V854744 = V964694 + 1. assign V219106 = V722218. assign V889786 = V284766 + 1. assign V919574 = V810226 + 1. assign V850520 = V169244 + 1. assign V191944 = V428309 - 1. assign V570887 = V354806 + 1. assign V922775 = V970074 - 1. assign V922473 = V399430. assign V428738 = V932921 + 1. assign V319963 = V752846 + 1. assign V660419 = V709960 + 1. assign V368360 = V999087. assign V700701 = V905271. assign V190712 = V829689. assign V036863 = V354806 + 1. assign V086041 = V133810 - 1. assign V453192 = V517419 + 1. assign V354806 = V284766 - 1. assign V989862 = V243459. assign V517419 = V428309 - 1. assign V472815 = V558754 + 1. assign V092806 = V190712. assign V121063 = V256418 - 1. assign V902402 = V955460 - 1. assign V133810 = V810226. assign V299481 = V689577 + 1. assign V263844 = V971284 - 1. assign V756400 = V319963 + 1. assign V979042 = V142151 + 1. assign V722218 = V709960. assign V690940 = V549938 + 1. assign V240991 = V970074 + 1. assign V548861 = V902402 - 1. assign V070400 = V752846. assign V670368 = V213546. assign V734119 = V190712 - 1. assign V502190 = V121063 - 1. assign V377747 = V070400 + 1. assign V144548 = V722218 - 1. assign V367789 = V944651 + 1. assign V284766 = V133810. assign V156344 = V324965 - 1. assign V008862 = V053064 - 1. assign V971284 = V123846 - 1. assign V053064 = V511471 + 1. assign V703539 = V955460 - 1. assign V586565 = V684644. assign V606800 = V847849 - 1. assign V784350 = V966385. assign V039587 = V175464 - 1. assign V738934 = V169244 - 1. assign V420611 = V086041. assign V051894 = V599061 + 1. assign V243459 = V112122 + 1. assign V531584 = V133810. assign V867602 = V721543 + 1. assign V123846 = V237404 - 1. assign V468231 = V850520 + 1. assign V966385 = V752846 - 1. assign V112122 = V684439. assign V425267 = V051894. assign V512481 = V082445 + 1. assign V511471 = V514958 + 1. assign V558909 = V133810 + 1. assign V900902 = V850520. assign V944651 = V324965. assign V185345 = V112122 + 1. assign V603229 = V425267. assign V192480 = V784350 - 1. assign V202845 = V891922 + 1. assign V903534 = V722218 + 1. assign V874917 = V531584 - 1. assign V116529 = V586565 - 1. assign V201880 = V755349 + 1. assign V243384 = V051894. assign V829689 = V175464 + 1. assign V244158 = V955460. assign V999087 = V175464. assign V237404 = V684439 - 1. assign V674081 = V070400 - 1. assign V544355 = V082445 + 1. assign V832462 = V829208 + 1. assign V810226 = V599061 - 1. assign V451277 = V240991. assign V619157 = V660419 - 1. assign V019637 = V434153. assign V709960 = V133810 - 1. assign V581523 = V482412 + 1. assign V962423 = V964694 + 1. assign V111257 = V237404. assign V223520 = V256418 - 1. assign V714571 = V826299 + 1. assign V826299 = V175464 - 1. assign V787094 = V255178 + 1. assign V486850 = V709960. assign V992908 = 2. assign V299617 = V558909 + 1. assign V142151 = V420611 + 1. assign V684439 = V086041 + 1. assign V219546 = V240991 + 1. assign V667757 = V142151 + 1. assign V324965 = V709960 + 1. assign V070423 = V051894. assign V829208 = V086041. assign V097704 = V080974 + 1. assign V752846 = V599061 + 1. assign V828653 = V051894 + 1. assign V428309 = V599061 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV992908 = 2;\n\nFrom these direct assignment(s), we have: \nV042120 = V992908 = 2;\nNo other variables can be derived from V042120;\nNo other variables can be derived from V992908;\n\nNow we have done all the calculations. Derived variables are:\nV992908 = 2;\nV042120 = 2;\n\nNow we have finished this problem. ANSWER:\nV992908, V042120\n", "role": "assistant" } ]

[ "V672738" ]

[ { "content": "<context>\nassign V046867 = V856998. assign V453165 = V002180 + 1. assign V654280 = V546514. assign V683271 = V546514 - 1. assign V754209 = V186946. assign V620161 = V265044. assign V210736 = V289351 - 1. assign V080193 = V339012 - 1. assign V171090 = V584786. assign V644543 = V153392 - 1. assign V091925 = V997472 + 1. assign V390447 = V613125 - 1. assign V282446 = V599704 - 1. assign V773499 = V199329 - 1. assign V421613 = V900754 + 1. assign V061409 = V546514. assign V594022 = V251625 - 1. assign V449713 = V339012 + 1. assign V457645 = V824412. assign V220907 = V170430 - 1. assign V757683 = V611455 - 1. assign V186946 = V081684 + 1. assign V856998 = V926936. assign V890183 = V170430 + 1. assign V599704 = V339012. assign V647325 = V153392 + 1. assign V806015 = V367751. assign V499034 = V287662. assign V191453 = V017067 - 1. assign V232528 = V251625 - 1. assign V985114 = V835099 - 1. assign V339012 = V708539 - 1. assign V727467 = V089759. assign V784380 = V077379. assign V348105 = V818918 - 1. assign V280887 = V449713 - 1. assign V584786 = V835099 - 1. assign V900754 = V997472. assign V549267 = V547091 + 1. assign V372039 = V964471 - 1. assign V163803 = V818918. assign V739080 = V381543 - 1. assign V160514 = V702206. assign V990111 = V410512 - 1. assign V278347 = V077379. assign V627055 = V467402 - 1. assign V134416 = V130492 - 1. assign V240453 = V613125. assign V399721 = V806015 + 1. assign V528382 = V153392. assign V766963 = V326271. assign V326271 = V611455 - 1. assign V353264 = V179193. assign V555515 = V449713 + 1. assign V242099 = V835099 + 1. assign V657318 = V654280 - 1. assign V723018 = V130492. assign V122992 = V199329 - 1. assign V974137 = V818918 - 1. assign V087937 = V077379 + 1. assign V869247 = V265044 - 1. assign V193901 = V397750. assign V179193 = V381543 + 1. assign V997472 = V613125. assign V921362 = V216670 + 1. assign V155091 = V381543. assign V636749 = V599704 + 1. assign V412264 = V232528 + 1. assign V439567 = V684425. assign V077379 = V339012 + 1. assign V002180 = V900754 - 1. assign V997799 = V028871. assign V061401 = V499034 - 1. assign V612688 = V251625. assign V063334 = V869247 - 1. assign V763518 = V475364. assign V170430 = V449713. assign V997760 = V390447 + 1. assign V109242 = V547091. assign V047014 = V601591. assign V547091 = V155091 - 1. assign V660779 = V739080 + 1. assign V380222 = V784380 - 1. assign V628290 = V237624. assign V251625 = V339012. assign V367751 = V080193 + 1. assign V237624 = V186946 - 1. assign V112679 = V835099. assign V611455 = V708539 - 1. assign V601591 = V449713 + 1. assign V771875 = V782909. assign V321429 = V684425 - 1. assign V792488 = V997799 + 1. assign V926936 = V599704 - 1. assign V967322 = V926936 + 1. assign V265044 = V080193 - 1. assign V452194 = V081684. assign V391139 = V904835 + 1. assign V841083 = V282446 - 1. assign V088652 = V529583. assign V266127 = V237624 + 1. assign V551340 = V077379 + 1. assign V482794 = V555515. assign V818575 = V308416 + 1. assign V333744 = V289351 + 1. assign V146958 = V170430. assign V818918 = V452194. assign V410512 = V964471 - 1. assign V381714 = V555515 - 1. assign V483390 = V599704. assign V150113 = V870809. assign V668162 = V672738 - 1. assign V782909 = V708539 - 1. assign V614766 = V179193 - 1. assign V247123 = V390447. assign V361333 = V134416. assign V725795 = V087937 - 1. assign V103596 = V792488 - 1. assign V529583 = V997472. assign V689423 = V614766. assign V403614 = V636749 + 1. assign V467402 = V613125 - 1. assign V762203 = V339012. assign V684425 = V081684 + 1. assign V850934 = V186946 - 1. assign V672738 = 2. assign V913815 = V775625 + 1. assign V397750 = V028871. assign V867178 = V361333 - 1. assign V870809 = V549267. assign V702206 = V997760 + 1. assign V081684 = V599704 - 1. assign V824412 = V028871. assign V639169 = V684425. assign V199329 = V028871 + 1. assign V338759 = V547091. assign V679481 = V926936. assign V795391 = V155091. assign V964471 = V237624 + 1. assign V216491 = V061409 + 1. assign V216670 = V242099 - 1. assign V089759 = V654280 - 1. assign V682815 = V153392 - 1. assign V613125 = V708539 + 1. assign V289351 = V081684 - 1. assign V028871 = V708539 - 1. assign V308416 = V155091. assign V953463 = V439567 - 1. assign V775625 = V028871 + 1. assign V256189 = V647001 + 1. assign V904835 = V900754 - 1. assign V111428 = V087937 - 1. assign V913042 = V193901. assign V287662 = V551340. assign V712608 = V763518 - 1. assign V218002 = V613125 + 1. assign V489960 = V613125 - 1. assign V017067 = V282446. assign V835099 = V599704 + 1. assign V381543 = V997472 + 1. assign V622177 = V708539 - 1. assign V555778 = V997760 + 1. assign V356880 = V287662 - 1. assign V475364 = V389107 - 1. assign V130492 = V017067 - 1. assign V260514 = V047014. assign V415151 = V134416 + 1. assign V415774 = V199329 + 1. assign V389107 = V220907 + 1. assign V153392 = V381543. assign V647001 = V081684 + 1. assign V546514 = V452194.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V046867 = V856998. assign V453165 = V002180 + 1. assign V654280 = V546514. assign V683271 = V546514 - 1. assign V754209 = V186946. assign V620161 = V265044. assign V210736 = V289351 - 1. assign V080193 = V339012 - 1. assign V171090 = V584786. assign V644543 = V153392 - 1. assign V091925 = V997472 + 1. assign V390447 = V613125 - 1. assign V282446 = V599704 - 1. assign V773499 = V199329 - 1. assign V421613 = V900754 + 1. assign V061409 = V546514. assign V594022 = V251625 - 1. assign V449713 = V339012 + 1. assign V457645 = V824412. assign V220907 = V170430 - 1. assign V757683 = V611455 - 1. assign V186946 = V081684 + 1. assign V856998 = V926936. assign V890183 = V170430 + 1. assign V599704 = V339012. assign V647325 = V153392 + 1. assign V806015 = V367751. assign V499034 = V287662. assign V191453 = V017067 - 1. assign V232528 = V251625 - 1. assign V985114 = V835099 - 1. assign V339012 = V708539 - 1. assign V727467 = V089759. assign V784380 = V077379. assign V348105 = V818918 - 1. assign V280887 = V449713 - 1. assign V584786 = V835099 - 1. assign V900754 = V997472. assign V549267 = V547091 + 1. assign V372039 = V964471 - 1. assign V163803 = V818918. assign V739080 = V381543 - 1. assign V160514 = V702206. assign V990111 = V410512 - 1. assign V278347 = V077379. assign V627055 = V467402 - 1. assign V134416 = V130492 - 1. assign V240453 = V613125. assign V399721 = V806015 + 1. assign V528382 = V153392. assign V766963 = V326271. assign V326271 = V611455 - 1. assign V353264 = V179193. assign V555515 = V449713 + 1. assign V242099 = V835099 + 1. assign V657318 = V654280 - 1. assign V723018 = V130492. assign V122992 = V199329 - 1. assign V974137 = V818918 - 1. assign V087937 = V077379 + 1. assign V869247 = V265044 - 1. assign V193901 = V397750. assign V179193 = V381543 + 1. assign V997472 = V613125. assign V921362 = V216670 + 1. assign V155091 = V381543. assign V636749 = V599704 + 1. assign V412264 = V232528 + 1. assign V439567 = V684425. assign V077379 = V339012 + 1. assign V002180 = V900754 - 1. assign V997799 = V028871. assign V061401 = V499034 - 1. assign V612688 = V251625. assign V063334 = V869247 - 1. assign V763518 = V475364. assign V170430 = V449713. assign V997760 = V390447 + 1. assign V109242 = V547091. assign V047014 = V601591. assign V547091 = V155091 - 1. assign V660779 = V739080 + 1. assign V380222 = V784380 - 1. assign V628290 = V237624. assign V251625 = V339012. assign V367751 = V080193 + 1. assign V237624 = V186946 - 1. assign V112679 = V835099. assign V611455 = V708539 - 1. assign V601591 = V449713 + 1. assign V771875 = V782909. assign V321429 = V684425 - 1. assign V792488 = V997799 + 1. assign V926936 = V599704 - 1. assign V967322 = V926936 + 1. assign V265044 = V080193 - 1. assign V452194 = V081684. assign V391139 = V904835 + 1. assign V841083 = V282446 - 1. assign V088652 = V529583. assign V266127 = V237624 + 1. assign V551340 = V077379 + 1. assign V482794 = V555515. assign V818575 = V308416 + 1. assign V333744 = V289351 + 1. assign V146958 = V170430. assign V818918 = V452194. assign V410512 = V964471 - 1. assign V381714 = V555515 - 1. assign V483390 = V599704. assign V150113 = V870809. assign V668162 = V672738 - 1. assign V782909 = V708539 - 1. assign V614766 = V179193 - 1. assign V247123 = V390447. assign V361333 = V134416. assign V725795 = V087937 - 1. assign V103596 = V792488 - 1. assign V529583 = V997472. assign V689423 = V614766. assign V403614 = V636749 + 1. assign V467402 = V613125 - 1. assign V762203 = V339012. assign V684425 = V081684 + 1. assign V850934 = V186946 - 1. assign V672738 = 2. assign V913815 = V775625 + 1. assign V397750 = V028871. assign V867178 = V361333 - 1. assign V870809 = V549267. assign V702206 = V997760 + 1. assign V081684 = V599704 - 1. assign V824412 = V028871. assign V639169 = V684425. assign V199329 = V028871 + 1. assign V338759 = V547091. assign V679481 = V926936. assign V795391 = V155091. assign V964471 = V237624 + 1. assign V216491 = V061409 + 1. assign V216670 = V242099 - 1. assign V089759 = V654280 - 1. assign V682815 = V153392 - 1. assign V613125 = V708539 + 1. assign V289351 = V081684 - 1. assign V028871 = V708539 - 1. assign V308416 = V155091. assign V953463 = V439567 - 1. assign V775625 = V028871 + 1. assign V256189 = V647001 + 1. assign V904835 = V900754 - 1. assign V111428 = V087937 - 1. assign V913042 = V193901. assign V287662 = V551340. assign V712608 = V763518 - 1. assign V218002 = V613125 + 1. assign V489960 = V613125 - 1. assign V017067 = V282446. assign V835099 = V599704 + 1. assign V381543 = V997472 + 1. assign V622177 = V708539 - 1. assign V555778 = V997760 + 1. assign V356880 = V287662 - 1. assign V475364 = V389107 - 1. assign V130492 = V017067 - 1. assign V260514 = V047014. assign V415151 = V134416 + 1. assign V415774 = V199329 + 1. assign V389107 = V220907 + 1. assign V153392 = V381543. assign V647001 = V081684 + 1. assign V546514 = V452194.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV672738 = 2;\n\nFrom these direct assignment(s), we have: \nV668162 = V672738 - 1 = 2 - 1 =1;\nNo other variables can be derived from V668162;\nNo other variables can be derived from V672738;\n\nNow we have done all the calculations. Derived variables are:\nV672738 = 2;\nV668162 = 1;\n\nNow we have finished this problem. ANSWER:\nV672738\n", "role": "assistant" } ]

[ "V846712", "V836571" ]

[ { "content": "<context>\nassign V192826 = V857668 + 1. assign V701181 = V881574 + 1. assign V098359 = V157120 + 1. assign V347307 = V684610. assign V897401 = V651735 - 1. assign V261528 = V037140 - 1. assign V054477 = V434708 - 1. assign V382008 = V920118 - 1. assign V542820 = V823281 - 1. assign V746356 = V397398 - 1. assign V608822 = V146326. assign V057877 = V673412. assign V602705 = V877014. assign V857668 = V374290 - 1. assign V704250 = V076899. assign V146326 = V482545 - 1. assign V708556 = V656592. assign V995016 = V857668. assign V489655 = V974002 - 1. assign V164110 = V074515 - 1. assign V685135 = V164110 + 1. assign V660449 = V542820 + 1. assign V515525 = V735912 + 1. assign V172477 = V746010. assign V715389 = V620072 - 1. assign V042807 = V211032 - 1. assign V851370 = V211032 + 1. assign V936690 = V037140. assign V513656 = V498463 - 1. assign V651735 = V823281 + 1. assign V376899 = V673412 + 1. assign V225019 = V083369. assign V068927 = V074515 - 1. assign V621193 = V179756 + 1. assign V441971 = V304105. assign V620072 = V736117 + 1. assign V385429 = V498463. assign V157120 = V534939 + 1. assign V647477 = V409720. assign V925606 = V746010 - 1. assign V752316 = V990344 - 1. assign V602830 = V270110 - 1. assign V799837 = V265997 + 1. assign V106635 = V164110 - 1. assign V125851 = V397398 + 1. assign V003471 = V660449 + 1. assign V986307 = V864381. assign V017866 = V986307 + 1. assign V270110 = V297553 + 1. assign V363762 = V270110 - 1. assign V290761 = V297553 + 1. assign V760152 = V497951 - 1. assign V280855 = V746010 - 1. assign V249637 = V685135 + 1. assign V629465 = V696730 - 1. assign V827298 = V494552 - 1. assign V656592 = V129186. assign V881574 = V270110 - 1. assign V533488 = V238371 + 1. assign V529999 = V314706 - 1. assign V202681 = V392471 - 1. assign V211032 = V656592 + 1. assign V846712 = 6. assign V961502 = V735912 + 1. assign V374290 = V290761. assign V087397 = V817767. assign V758621 = V135667 - 1. assign V397398 = V482545. assign V409720 = V620072 + 1. assign V673412 = V179756. assign V359186 = V270110 + 1. assign V990344 = V678916. assign V871029 = V042807. assign V135667 = V266092. assign V355804 = V864381 + 1. assign V988889 = V920118 - 1. assign V041708 = V297553 + 1. assign V957530 = V761730 + 1. assign V771749 = V270110 - 1. assign V469968 = V669206. assign V974002 = V494552 - 1. assign V482545 = V374290 + 1. assign V920118 = V110160 - 1. assign V589805 = V385429 - 1. assign V817767 = V238371 + 1. assign V344508 = V110160 + 1. assign V494552 = V736117 + 1. assign V314706 = V857668. assign V238371 = V482545 + 1. assign V731661 = V771749 + 1. assign V746010 = V297553 + 1. assign V083369 = V498463 + 1. assign V684610 = V498463 + 1. assign V037140 = V076899 + 1. assign V638951 = V297553. assign V735243 = V877014 + 1. assign V840554 = V261565 - 1. assign V696730 = V857668. assign V476150 = V986307 - 1. assign V725534 = V991978 - 1. assign V001617 = V696730. assign V861372 = V513656 + 1. assign V197128 = V164110 - 1. assign V521126 = V238371 - 1. assign V536820 = V106635 - 1. assign V823281 = V407972. assign V716472 = V961502. assign V407972 = V110160 + 1. assign V076899 = V261565 + 1. assign V246711 = V513656 - 1. assign V654247 = V482545 - 1. assign V571880 = V110160 - 1. assign V129186 = V290761. assign V497951 = V735912. assign V554399 = V995016 - 1. assign V261565 = V857668. assign V266092 = V482545 - 1. assign V761730 = V068927 - 1. assign V209017 = V392471 + 1. assign V304105 = V146326 + 1. assign V210626 = V995016. assign V357646 = V682490 - 1. assign V903644 = V469968. assign V583362 = V513656. assign V576676 = V542820. assign V110160 = V656592. assign V877014 = V771749 - 1. assign V762590 = V084219. assign V392471 = V701181 + 1. assign V697667 = V497951 + 1. assign V110235 = V385429. assign V534939 = V864381 - 1. assign V735912 = V211032 + 1. assign V884740 = V995016 + 1. assign V706398 = V988889. assign V307693 = V482545 - 1. assign V836571 = V846712. assign V509458 = V215642 + 1. assign V377636 = V363762. assign V179756 = V669206 - 1. assign V109934 = V270110. assign V370609 = V374290 - 1. assign V991978 = V974002 - 1. assign V822860 = V297553. assign V736117 = V656592 + 1. assign V304829 = V678916 + 1. assign V084219 = V534939. assign V776388 = V110160. assign V498463 = V469968. assign V340006 = V041708 - 1. assign V265997 = V290761. assign V609441 = V344508. assign V462707 = V758621 + 1. assign V074515 = V297553 - 1. assign V871194 = V669206 - 1. assign V215642 = V857668 + 1. assign V543837 = V697667. assign V669206 = V297553 - 1. assign V718295 = V407972 - 1. assign V312024 = V314706 - 1. assign V724916 = V270110 - 1. assign V145430 = V397398 + 1. assign V682490 = V498463. assign V864381 = V736117 - 1. assign V109530 = V656592. assign V001811 = V377636. assign V862893 = V109934 - 1. assign V762440 = V776388 + 1. assign V434708 = V157120. assign V075902 = V608822 - 1. assign V678916 = V974002 - 1. assign V073180 = V696730.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V192826 = V857668 + 1. assign V701181 = V881574 + 1. assign V098359 = V157120 + 1. assign V347307 = V684610. assign V897401 = V651735 - 1. assign V261528 = V037140 - 1. assign V054477 = V434708 - 1. assign V382008 = V920118 - 1. assign V542820 = V823281 - 1. assign V746356 = V397398 - 1. assign V608822 = V146326. assign V057877 = V673412. assign V602705 = V877014. assign V857668 = V374290 - 1. assign V704250 = V076899. assign V146326 = V482545 - 1. assign V708556 = V656592. assign V995016 = V857668. assign V489655 = V974002 - 1. assign V164110 = V074515 - 1. assign V685135 = V164110 + 1. assign V660449 = V542820 + 1. assign V515525 = V735912 + 1. assign V172477 = V746010. assign V715389 = V620072 - 1. assign V042807 = V211032 - 1. assign V851370 = V211032 + 1. assign V936690 = V037140. assign V513656 = V498463 - 1. assign V651735 = V823281 + 1. assign V376899 = V673412 + 1. assign V225019 = V083369. assign V068927 = V074515 - 1. assign V621193 = V179756 + 1. assign V441971 = V304105. assign V620072 = V736117 + 1. assign V385429 = V498463. assign V157120 = V534939 + 1. assign V647477 = V409720. assign V925606 = V746010 - 1. assign V752316 = V990344 - 1. assign V602830 = V270110 - 1. assign V799837 = V265997 + 1. assign V106635 = V164110 - 1. assign V125851 = V397398 + 1. assign V003471 = V660449 + 1. assign V986307 = V864381. assign V017866 = V986307 + 1. assign V270110 = V297553 + 1. assign V363762 = V270110 - 1. assign V290761 = V297553 + 1. assign V760152 = V497951 - 1. assign V280855 = V746010 - 1. assign V249637 = V685135 + 1. assign V629465 = V696730 - 1. assign V827298 = V494552 - 1. assign V656592 = V129186. assign V881574 = V270110 - 1. assign V533488 = V238371 + 1. assign V529999 = V314706 - 1. assign V202681 = V392471 - 1. assign V211032 = V656592 + 1. assign V846712 = 6. assign V961502 = V735912 + 1. assign V374290 = V290761. assign V087397 = V817767. assign V758621 = V135667 - 1. assign V397398 = V482545. assign V409720 = V620072 + 1. assign V673412 = V179756. assign V359186 = V270110 + 1. assign V990344 = V678916. assign V871029 = V042807. assign V135667 = V266092. assign V355804 = V864381 + 1. assign V988889 = V920118 - 1. assign V041708 = V297553 + 1. assign V957530 = V761730 + 1. assign V771749 = V270110 - 1. assign V469968 = V669206. assign V974002 = V494552 - 1. assign V482545 = V374290 + 1. assign V920118 = V110160 - 1. assign V589805 = V385429 - 1. assign V817767 = V238371 + 1. assign V344508 = V110160 + 1. assign V494552 = V736117 + 1. assign V314706 = V857668. assign V238371 = V482545 + 1. assign V731661 = V771749 + 1. assign V746010 = V297553 + 1. assign V083369 = V498463 + 1. assign V684610 = V498463 + 1. assign V037140 = V076899 + 1. assign V638951 = V297553. assign V735243 = V877014 + 1. assign V840554 = V261565 - 1. assign V696730 = V857668. assign V476150 = V986307 - 1. assign V725534 = V991978 - 1. assign V001617 = V696730. assign V861372 = V513656 + 1. assign V197128 = V164110 - 1. assign V521126 = V238371 - 1. assign V536820 = V106635 - 1. assign V823281 = V407972. assign V716472 = V961502. assign V407972 = V110160 + 1. assign V076899 = V261565 + 1. assign V246711 = V513656 - 1. assign V654247 = V482545 - 1. assign V571880 = V110160 - 1. assign V129186 = V290761. assign V497951 = V735912. assign V554399 = V995016 - 1. assign V261565 = V857668. assign V266092 = V482545 - 1. assign V761730 = V068927 - 1. assign V209017 = V392471 + 1. assign V304105 = V146326 + 1. assign V210626 = V995016. assign V357646 = V682490 - 1. assign V903644 = V469968. assign V583362 = V513656. assign V576676 = V542820. assign V110160 = V656592. assign V877014 = V771749 - 1. assign V762590 = V084219. assign V392471 = V701181 + 1. assign V697667 = V497951 + 1. assign V110235 = V385429. assign V534939 = V864381 - 1. assign V735912 = V211032 + 1. assign V884740 = V995016 + 1. assign V706398 = V988889. assign V307693 = V482545 - 1. assign V836571 = V846712. assign V509458 = V215642 + 1. assign V377636 = V363762. assign V179756 = V669206 - 1. assign V109934 = V270110. assign V370609 = V374290 - 1. assign V991978 = V974002 - 1. assign V822860 = V297553. assign V736117 = V656592 + 1. assign V304829 = V678916 + 1. assign V084219 = V534939. assign V776388 = V110160. assign V498463 = V469968. assign V340006 = V041708 - 1. assign V265997 = V290761. assign V609441 = V344508. assign V462707 = V758621 + 1. assign V074515 = V297553 - 1. assign V871194 = V669206 - 1. assign V215642 = V857668 + 1. assign V543837 = V697667. assign V669206 = V297553 - 1. assign V718295 = V407972 - 1. assign V312024 = V314706 - 1. assign V724916 = V270110 - 1. assign V145430 = V397398 + 1. assign V682490 = V498463. assign V864381 = V736117 - 1. assign V109530 = V656592. assign V001811 = V377636. assign V862893 = V109934 - 1. assign V762440 = V776388 + 1. assign V434708 = V157120. assign V075902 = V608822 - 1. assign V678916 = V974002 - 1. assign V073180 = V696730.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV846712 = 6;\n\nFrom these direct assignment(s), we have: \nV836571 = V846712 = 6;\nNo other variables can be derived from V836571;\nNo other variables can be derived from V846712;\n\nNow we have done all the calculations. Derived variables are:\nV846712 = 6;\nV836571 = 6;\n\nNow we have finished this problem. ANSWER:\nV846712, V836571\n", "role": "assistant" } ]

[ "V527117" ]

[ { "content": "<context>\nassign V173324 = V792817. assign V874278 = V678510. assign V770382 = V581749 - 1. assign V813168 = V939787 - 1. assign V519753 = V393487. assign V709435 = V572040 + 1. assign V424819 = V308617 - 1. assign V198339 = V134684 + 1. assign V476636 = V007084. assign V533349 = V495299 - 1. assign V781837 = V495299. assign V687977 = V361802. assign V402996 = V350808. assign V040420 = V680269 + 1. assign V564730 = V581749. assign V473460 = V528378 + 1. assign V236934 = V770382 + 1. assign V350808 = V171436 - 1. assign V121249 = V265825. assign V675953 = V171945. assign V041548 = V352931. assign V713201 = V942653. assign V668761 = V210145 - 1. assign V552496 = V888929 - 1. assign V581749 = V082311 + 1. assign V995425 = V338235 - 1. assign V650402 = V062817 - 1. assign V467149 = V194919 + 1. assign V680269 = V728544 - 1. assign V767866 = V370472 + 1. assign V374217 = V501210 + 1. assign V961467 = V708774 - 1. assign V219880 = V283612 + 1. assign V423149 = V564730 + 1. assign V602120 = V250189. assign V131031 = V171945 + 1. assign V806422 = V568344 - 1. assign V495299 = V581749 - 1. assign V878611 = V888929 - 1. assign V830094 = V137346 - 1. assign V393487 = V283612. assign V370472 = V236934 + 1. assign V271684 = V171436 + 1. assign V156165 = V393487. assign V027078 = V474047 + 1. assign V283612 = V294408 - 1. assign V361353 = V137346 + 1. assign V007084 = V082311. assign V312397 = V037005. assign V976790 = V512273 - 1. assign V527117 = V059270 + 1. assign V736540 = V082311. assign V490631 = V010844 - 1. assign V210145 = V024800 + 1. assign V557430 = V010844 - 1. assign V323474 = V476636 - 1. assign V168335 = V370472 + 1. assign V878809 = V007084. assign V931154 = V024800 - 1. assign V528378 = V007084 - 1. assign V708774 = V171436. assign V698224 = V489128 - 1. assign V373505 = V961467 + 1. assign V363536 = V248864 + 1. assign V027790 = V581749 + 1. assign V201620 = V687977 + 1. assign V800508 = V617007 - 1. assign V423606 = V713201. assign V819547 = V271684 + 1. assign V010844 = V250189 + 1. assign V294408 = V171436 + 1. assign V273495 = V789192 + 1. assign V820116 = V086427 + 1. assign V372458 = V289895 - 1. assign V846500 = V677101. assign V134684 = V137346. assign V321228 = V082311 + 1. assign V475029 = V137346 - 1. assign V098483 = V283612. assign V364177 = V211746. assign V942653 = V350808 - 1. assign V024800 = V082311 + 1. assign V568344 = V027078. assign V276528 = V062817 - 1. assign V827478 = V736540 + 1. assign V127795 = V967211. assign V423511 = V312397. assign V507383 = V490631 + 1. assign V037447 = V171945 - 1. assign V059270 = 4. assign V672274 = V564730 - 1. assign V705466 = V888929. assign V634249 = V171436 + 1. assign V056907 = V878611 + 1. assign V171945 = V267636. assign V048182 = V350808 - 1. assign V332773 = V086427. assign V834039 = V250189. assign V338235 = V250189 - 1. assign V037005 = V708774 + 1. assign V168946 = V476636 - 1. assign V062817 = V171436. assign V536745 = V002985 + 1. assign V884553 = V361353 - 1. assign V967211 = V490631. assign V991753 = V888929 - 1. assign V284387 = V171436 + 1. assign V137346 = V708774 + 1. assign V053345 = V678510. assign V512273 = V364177. assign V352931 = V370472. assign V151872 = V423606 - 1. assign V617007 = V581749 + 1. assign V211746 = V490631 + 1. assign V678510 = V490631 - 1. assign V474047 = V171436. assign V230612 = V111084. assign V827736 = V874278 - 1. assign V289895 = V312397 - 1. assign V474504 = V474047. assign V671243 = V053345 + 1. assign V361802 = V114227 - 1. assign V425224 = V474047 - 1. assign V250189 = V171436 - 1. assign V939787 = V709435 + 1. assign V269348 = V423606 + 1. assign V204759 = V507383 - 1. assign V227186 = V127795 - 1. assign V252156 = V820614. assign V888929 = V501210. assign V501210 = V007084 - 1. assign V789192 = V283612 - 1. assign V728544 = V423606. assign V837611 = V211746 - 1. assign V624092 = V827478 + 1. assign V265825 = V602120 - 1. assign V338915 = V736540 - 1. assign V534070 = V961467. assign V677101 = V250189. assign V284878 = V276528. assign V503820 = V820116 + 1. assign V881538 = V501210 + 1. assign V995133 = V827736 + 1. assign V536825 = V884553 + 1. assign V194919 = V082311 - 1. assign V114227 = V321228. assign V073159 = V820116. assign V062257 = V884553 - 1. assign V267636 = V476636 - 1. assign V098916 = V507383 + 1. assign V086427 = V250189 - 1. assign V146208 = V474047 - 1. assign V572040 = V294408. assign V502603 = V227186 + 1. assign V065051 = V041548. assign V911841 = V564730. assign V391932 = V146208 - 1. assign V361612 = V878611 - 1. assign V796677 = V010844 + 1. assign V002985 = V027078 + 1. assign V248864 = V501210 - 1. assign V393458 = V423511 + 1. assign V111084 = V495299 + 1. assign V820614 = V490631 - 1. assign V171436 = V082311 + 1. assign V932795 = V374217 - 1. assign V308617 = V283612 - 1. assign V965206 = V467149 + 1. assign V033858 = V830094 - 1. assign V792817 = V536825 + 1. assign V489128 = V942653 - 1. assign V865645 = V965206.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V173324 = V792817. assign V874278 = V678510. assign V770382 = V581749 - 1. assign V813168 = V939787 - 1. assign V519753 = V393487. assign V709435 = V572040 + 1. assign V424819 = V308617 - 1. assign V198339 = V134684 + 1. assign V476636 = V007084. assign V533349 = V495299 - 1. assign V781837 = V495299. assign V687977 = V361802. assign V402996 = V350808. assign V040420 = V680269 + 1. assign V564730 = V581749. assign V473460 = V528378 + 1. assign V236934 = V770382 + 1. assign V350808 = V171436 - 1. assign V121249 = V265825. assign V675953 = V171945. assign V041548 = V352931. assign V713201 = V942653. assign V668761 = V210145 - 1. assign V552496 = V888929 - 1. assign V581749 = V082311 + 1. assign V995425 = V338235 - 1. assign V650402 = V062817 - 1. assign V467149 = V194919 + 1. assign V680269 = V728544 - 1. assign V767866 = V370472 + 1. assign V374217 = V501210 + 1. assign V961467 = V708774 - 1. assign V219880 = V283612 + 1. assign V423149 = V564730 + 1. assign V602120 = V250189. assign V131031 = V171945 + 1. assign V806422 = V568344 - 1. assign V495299 = V581749 - 1. assign V878611 = V888929 - 1. assign V830094 = V137346 - 1. assign V393487 = V283612. assign V370472 = V236934 + 1. assign V271684 = V171436 + 1. assign V156165 = V393487. assign V027078 = V474047 + 1. assign V283612 = V294408 - 1. assign V361353 = V137346 + 1. assign V007084 = V082311. assign V312397 = V037005. assign V976790 = V512273 - 1. assign V527117 = V059270 + 1. assign V736540 = V082311. assign V490631 = V010844 - 1. assign V210145 = V024800 + 1. assign V557430 = V010844 - 1. assign V323474 = V476636 - 1. assign V168335 = V370472 + 1. assign V878809 = V007084. assign V931154 = V024800 - 1. assign V528378 = V007084 - 1. assign V708774 = V171436. assign V698224 = V489128 - 1. assign V373505 = V961467 + 1. assign V363536 = V248864 + 1. assign V027790 = V581749 + 1. assign V201620 = V687977 + 1. assign V800508 = V617007 - 1. assign V423606 = V713201. assign V819547 = V271684 + 1. assign V010844 = V250189 + 1. assign V294408 = V171436 + 1. assign V273495 = V789192 + 1. assign V820116 = V086427 + 1. assign V372458 = V289895 - 1. assign V846500 = V677101. assign V134684 = V137346. assign V321228 = V082311 + 1. assign V475029 = V137346 - 1. assign V098483 = V283612. assign V364177 = V211746. assign V942653 = V350808 - 1. assign V024800 = V082311 + 1. assign V568344 = V027078. assign V276528 = V062817 - 1. assign V827478 = V736540 + 1. assign V127795 = V967211. assign V423511 = V312397. assign V507383 = V490631 + 1. assign V037447 = V171945 - 1. assign V059270 = 4. assign V672274 = V564730 - 1. assign V705466 = V888929. assign V634249 = V171436 + 1. assign V056907 = V878611 + 1. assign V171945 = V267636. assign V048182 = V350808 - 1. assign V332773 = V086427. assign V834039 = V250189. assign V338235 = V250189 - 1. assign V037005 = V708774 + 1. assign V168946 = V476636 - 1. assign V062817 = V171436. assign V536745 = V002985 + 1. assign V884553 = V361353 - 1. assign V967211 = V490631. assign V991753 = V888929 - 1. assign V284387 = V171436 + 1. assign V137346 = V708774 + 1. assign V053345 = V678510. assign V512273 = V364177. assign V352931 = V370472. assign V151872 = V423606 - 1. assign V617007 = V581749 + 1. assign V211746 = V490631 + 1. assign V678510 = V490631 - 1. assign V474047 = V171436. assign V230612 = V111084. assign V827736 = V874278 - 1. assign V289895 = V312397 - 1. assign V474504 = V474047. assign V671243 = V053345 + 1. assign V361802 = V114227 - 1. assign V425224 = V474047 - 1. assign V250189 = V171436 - 1. assign V939787 = V709435 + 1. assign V269348 = V423606 + 1. assign V204759 = V507383 - 1. assign V227186 = V127795 - 1. assign V252156 = V820614. assign V888929 = V501210. assign V501210 = V007084 - 1. assign V789192 = V283612 - 1. assign V728544 = V423606. assign V837611 = V211746 - 1. assign V624092 = V827478 + 1. assign V265825 = V602120 - 1. assign V338915 = V736540 - 1. assign V534070 = V961467. assign V677101 = V250189. assign V284878 = V276528. assign V503820 = V820116 + 1. assign V881538 = V501210 + 1. assign V995133 = V827736 + 1. assign V536825 = V884553 + 1. assign V194919 = V082311 - 1. assign V114227 = V321228. assign V073159 = V820116. assign V062257 = V884553 - 1. assign V267636 = V476636 - 1. assign V098916 = V507383 + 1. assign V086427 = V250189 - 1. assign V146208 = V474047 - 1. assign V572040 = V294408. assign V502603 = V227186 + 1. assign V065051 = V041548. assign V911841 = V564730. assign V391932 = V146208 - 1. assign V361612 = V878611 - 1. assign V796677 = V010844 + 1. assign V002985 = V027078 + 1. assign V248864 = V501210 - 1. assign V393458 = V423511 + 1. assign V111084 = V495299 + 1. assign V820614 = V490631 - 1. assign V171436 = V082311 + 1. assign V932795 = V374217 - 1. assign V308617 = V283612 - 1. assign V965206 = V467149 + 1. assign V033858 = V830094 - 1. assign V792817 = V536825 + 1. assign V489128 = V942653 - 1. assign V865645 = V965206.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV059270 = 4;\n\nFrom these direct assignment(s), we have: \nV527117 = V059270 + 1 = 4 + 1 =5;\nNo other variables can be derived from V527117;\nNo other variables can be derived from V059270;\n\nNow we have done all the calculations. Derived variables are:\nV059270 = 4;\nV527117 = 5;\n\nNow we have finished this problem. ANSWER:\nV527117\n", "role": "assistant" } ]

[ "V681000" ]

[ { "content": "<context>\nassign V638288 = V647064. assign V546846 = V368171 - 1. assign V447630 = V653260. assign V624888 = V551191. assign V142736 = V799876 + 1. assign V580927 = V647064 + 1. assign V164388 = V624888. assign V072289 = V173818. assign V594177 = V796260. assign V945621 = V147763 - 1. assign V283730 = V864177 - 1. assign V648023 = V560664. assign V337094 = V551191 - 1. assign V039981 = V624888 - 1. assign V057069 = V948204 + 1. assign V534242 = V039981 - 1. assign V681000 = V860433 + 1. assign V647064 = V345552 - 1. assign V117581 = V437967 - 1. assign V509104 = V799876 - 1. assign V102320 = V210723 - 1. assign V558606 = V345552 - 1. assign V673090 = V347087 - 1. assign V083390 = V039981 + 1. assign V355890 = V623631 - 1. assign V289477 = V325085 - 1. assign V657592 = V549602. assign V653260 = V754796 + 1. assign V657783 = V325085 + 1. assign V541501 = V423827 - 1. assign V392803 = V549602. assign V822877 = V484901 - 1. assign V759662 = V217062 - 1. assign V784266 = V657783 - 1. assign V549602 = V948204. assign V274835 = V102320 - 1. assign V404281 = V861930. assign V054747 = V123998. assign V368171 = V872889 - 1. assign V558248 = V908251 + 1. assign V047158 = V908251. assign V459656 = V484901. assign V147763 = V992795 - 1. assign V786867 = V549544 - 1. assign V391757 = V346848 - 1. assign V560664 = V194166 - 1. assign V686894 = V657783. assign V779380 = V825444 + 1. assign V799876 = V549602. assign V645655 = V623631 + 1. assign V634607 = V638288. assign V190481 = V347087 + 1. assign V423827 = V657783 + 1. assign V435294 = V796260 + 1. assign V974726 = V117581 + 1. assign V195610 = V006467 + 1. assign V484901 = V387984 + 1. assign V316944 = V387663 + 1. assign V406148 = V894422. assign V173818 = V946943 - 1. assign V346848 = V076763. assign V072519 = V919554. assign V317734 = V686894. assign V405814 = V459656 + 1. assign V496031 = V257250 + 1. assign V510908 = V555845 - 1. assign V225307 = V054747 + 1. assign V175849 = V347087. assign V943680 = V799876. assign V293441 = V647064. assign V254040 = V646154 + 1. assign V907613 = V894422 - 1. assign V367231 = V828396 - 1. assign V438557 = V437967 + 1. assign V000103 = V787251 + 1. assign V922822 = V606291 + 1. assign V465178 = V549602. assign V217062 = V168168 - 1. assign V450682 = V606291 - 1. assign V345552 = V948204 + 1. assign V864177 = V551191 + 1. assign V669152 = V541501. assign V347087 = V754796 + 1. assign V589596 = V943680 - 1. assign V473467 = V765791 - 1. assign V888529 = V732211. assign V210723 = V549602. assign V565847 = V555845. assign V024690 = V180980 + 1. assign V787251 = V580927 - 1. assign V061814 = V210723 - 1. assign V551191 = V061814 + 1. assign V320556 = V164388. assign V387663 = V461865 - 1. assign V619157 = V461865. assign V187692 = V907613 - 1. assign V860433 = 5. assign V754796 = V387984 + 1. assign V316848 = V142736. assign V168168 = V345552. assign V674446 = V925595 + 1. assign V413917 = V123998. assign V695952 = V754796 - 1. assign V708162 = V864177 - 1. assign V437967 = V560664 - 1. assign V992731 = V908251. assign V975213 = V646154 - 1. assign V465577 = V908505 + 1. assign V071690 = V257250. assign V597001 = V024690. assign V549544 = V435294. assign V908505 = V123998 - 1. assign V894151 = V717906. assign V894422 = V787251. assign V076763 = V732211. assign V765791 = V289477 - 1. assign V706096 = V864177. assign V974100 = V825444 - 1. assign V344627 = V484901. assign V233971 = V465577. assign V238487 = V565847 - 1. assign V919554 = V551191. assign V946943 = V638288 + 1. assign V732211 = V825444. assign V327363 = V289273. assign V180980 = V943680 - 1. assign V623631 = V368171. assign V361427 = V164388 + 1. assign V868573 = V254040 + 1. assign V031436 = V634607. assign V796449 = V496031. assign V838298 = V757807 + 1. assign V268087 = V484901. assign V507494 = V346848. assign V861930 = V123998 + 1. assign V059022 = V509104 + 1. assign V528480 = V274835 - 1. assign V387984 = V948204. assign V825444 = V943680 - 1. assign V123998 = V325085 - 1. assign V289273 = V071690 - 1. assign V043974 = V754796 + 1. assign V925595 = V413917. assign V257250 = V325085 - 1. assign V908251 = V484901. assign V606571 = V551191. assign V006467 = V908251 - 1. assign V717906 = V387984 - 1. assign V628370 = V799876. assign V163952 = V071690. assign V511811 = V551191 - 1. assign V119018 = V653260 + 1. assign V757807 = V948204 - 1. assign V396107 = V757807 - 1. assign V606291 = V825444 - 1. assign V856770 = V825444 + 1. assign V194166 = V799876 - 1. assign V993528 = V549544 - 1. assign V555845 = V039981. assign V596347 = V825444 + 1. assign V872889 = V560664 - 1. assign V992795 = V347087 - 1. assign V578399 = V799876 + 1. assign V325085 = V647064 + 1. assign V646154 = V368171 + 1. assign V253330 = V000103 - 1. assign V461865 = V465178 + 1. assign V073643 = V943680 - 1. assign V435758 = V461865 - 1. assign V828396 = V732211 - 1. assign V796260 = V061814. assign V035074 = V347087.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V638288 = V647064. assign V546846 = V368171 - 1. assign V447630 = V653260. assign V624888 = V551191. assign V142736 = V799876 + 1. assign V580927 = V647064 + 1. assign V164388 = V624888. assign V072289 = V173818. assign V594177 = V796260. assign V945621 = V147763 - 1. assign V283730 = V864177 - 1. assign V648023 = V560664. assign V337094 = V551191 - 1. assign V039981 = V624888 - 1. assign V057069 = V948204 + 1. assign V534242 = V039981 - 1. assign V681000 = V860433 + 1. assign V647064 = V345552 - 1. assign V117581 = V437967 - 1. assign V509104 = V799876 - 1. assign V102320 = V210723 - 1. assign V558606 = V345552 - 1. assign V673090 = V347087 - 1. assign V083390 = V039981 + 1. assign V355890 = V623631 - 1. assign V289477 = V325085 - 1. assign V657592 = V549602. assign V653260 = V754796 + 1. assign V657783 = V325085 + 1. assign V541501 = V423827 - 1. assign V392803 = V549602. assign V822877 = V484901 - 1. assign V759662 = V217062 - 1. assign V784266 = V657783 - 1. assign V549602 = V948204. assign V274835 = V102320 - 1. assign V404281 = V861930. assign V054747 = V123998. assign V368171 = V872889 - 1. assign V558248 = V908251 + 1. assign V047158 = V908251. assign V459656 = V484901. assign V147763 = V992795 - 1. assign V786867 = V549544 - 1. assign V391757 = V346848 - 1. assign V560664 = V194166 - 1. assign V686894 = V657783. assign V779380 = V825444 + 1. assign V799876 = V549602. assign V645655 = V623631 + 1. assign V634607 = V638288. assign V190481 = V347087 + 1. assign V423827 = V657783 + 1. assign V435294 = V796260 + 1. assign V974726 = V117581 + 1. assign V195610 = V006467 + 1. assign V484901 = V387984 + 1. assign V316944 = V387663 + 1. assign V406148 = V894422. assign V173818 = V946943 - 1. assign V346848 = V076763. assign V072519 = V919554. assign V317734 = V686894. assign V405814 = V459656 + 1. assign V496031 = V257250 + 1. assign V510908 = V555845 - 1. assign V225307 = V054747 + 1. assign V175849 = V347087. assign V943680 = V799876. assign V293441 = V647064. assign V254040 = V646154 + 1. assign V907613 = V894422 - 1. assign V367231 = V828396 - 1. assign V438557 = V437967 + 1. assign V000103 = V787251 + 1. assign V922822 = V606291 + 1. assign V465178 = V549602. assign V217062 = V168168 - 1. assign V450682 = V606291 - 1. assign V345552 = V948204 + 1. assign V864177 = V551191 + 1. assign V669152 = V541501. assign V347087 = V754796 + 1. assign V589596 = V943680 - 1. assign V473467 = V765791 - 1. assign V888529 = V732211. assign V210723 = V549602. assign V565847 = V555845. assign V024690 = V180980 + 1. assign V787251 = V580927 - 1. assign V061814 = V210723 - 1. assign V551191 = V061814 + 1. assign V320556 = V164388. assign V387663 = V461865 - 1. assign V619157 = V461865. assign V187692 = V907613 - 1. assign V860433 = 5. assign V754796 = V387984 + 1. assign V316848 = V142736. assign V168168 = V345552. assign V674446 = V925595 + 1. assign V413917 = V123998. assign V695952 = V754796 - 1. assign V708162 = V864177 - 1. assign V437967 = V560664 - 1. assign V992731 = V908251. assign V975213 = V646154 - 1. assign V465577 = V908505 + 1. assign V071690 = V257250. assign V597001 = V024690. assign V549544 = V435294. assign V908505 = V123998 - 1. assign V894151 = V717906. assign V894422 = V787251. assign V076763 = V732211. assign V765791 = V289477 - 1. assign V706096 = V864177. assign V974100 = V825444 - 1. assign V344627 = V484901. assign V233971 = V465577. assign V238487 = V565847 - 1. assign V919554 = V551191. assign V946943 = V638288 + 1. assign V732211 = V825444. assign V327363 = V289273. assign V180980 = V943680 - 1. assign V623631 = V368171. assign V361427 = V164388 + 1. assign V868573 = V254040 + 1. assign V031436 = V634607. assign V796449 = V496031. assign V838298 = V757807 + 1. assign V268087 = V484901. assign V507494 = V346848. assign V861930 = V123998 + 1. assign V059022 = V509104 + 1. assign V528480 = V274835 - 1. assign V387984 = V948204. assign V825444 = V943680 - 1. assign V123998 = V325085 - 1. assign V289273 = V071690 - 1. assign V043974 = V754796 + 1. assign V925595 = V413917. assign V257250 = V325085 - 1. assign V908251 = V484901. assign V606571 = V551191. assign V006467 = V908251 - 1. assign V717906 = V387984 - 1. assign V628370 = V799876. assign V163952 = V071690. assign V511811 = V551191 - 1. assign V119018 = V653260 + 1. assign V757807 = V948204 - 1. assign V396107 = V757807 - 1. assign V606291 = V825444 - 1. assign V856770 = V825444 + 1. assign V194166 = V799876 - 1. assign V993528 = V549544 - 1. assign V555845 = V039981. assign V596347 = V825444 + 1. assign V872889 = V560664 - 1. assign V992795 = V347087 - 1. assign V578399 = V799876 + 1. assign V325085 = V647064 + 1. assign V646154 = V368171 + 1. assign V253330 = V000103 - 1. assign V461865 = V465178 + 1. assign V073643 = V943680 - 1. assign V435758 = V461865 - 1. assign V828396 = V732211 - 1. assign V796260 = V061814. assign V035074 = V347087.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV860433 = 5;\n\nFrom these direct assignment(s), we have: \nV681000 = V860433 + 1 = 5 + 1 =6;\nNo other variables can be derived from V681000;\nNo other variables can be derived from V860433;\n\nNow we have done all the calculations. Derived variables are:\nV860433 = 5;\nV681000 = 6;\n\nNow we have finished this problem. ANSWER:\nV681000\n", "role": "assistant" } ]

[ "V434515" ]

[ { "content": "<context>\nassign V000871 = V103404. assign V670565 = V821287 - 1. assign V875284 = V697646 - 1. assign V226693 = V430533 - 1. assign V899398 = V980163 - 1. assign V245735 = V234115. assign V415692 = V714455. assign V504459 = V566497 + 1. assign V136761 = V243061. assign V367614 = V740343. assign V083421 = V043313 - 1. assign V700448 = V030268 - 1. assign V900968 = V961817 - 1. assign V030268 = V043313 - 1. assign V266105 = V545644 - 1. assign V496069 = V504459 + 1. assign V099632 = V936645 + 1. assign V954253 = V740343 - 1. assign V634864 = V874377. assign V348953 = V620727 + 1. assign V507704 = V784066. assign V103404 = V226307 + 1. assign V794163 = V191968 + 1. assign V739741 = V881870 - 1. assign V998294 = V899398. assign V049878 = V563791. assign V974428 = V043313 + 1. assign V540337 = V468223. assign V208743 = V586215 + 1. assign V146682 = V875284 - 1. assign V817110 = V191968 - 1. assign V011199 = V043313 - 1. assign V620727 = V243061. assign V312124 = V636610. assign V348965 = V140085 + 1. assign V610362 = V933629 - 1. assign V997893 = V258036 + 1. assign V501046 = V540337 + 1. assign V189708 = V899398 + 1. assign V740343 = V586215. assign V922553 = V043313. assign V081914 = V243061 - 1. assign V347275 = V266105 - 1. assign V849140 = V796854. assign V226307 = V547331 + 1. assign V647827 = V030268. assign V140085 = V933629 + 1. assign V234115 = V281881. assign V140379 = V318289 + 1. assign V427460 = V058620 - 1. assign V418641 = V621267 - 1. assign V243061 = V264362 + 1. assign V566497 = V881870 - 1. assign V388057 = V980163 + 1. assign V813769 = V842503. assign V224467 = V406041 + 1. assign V485079 = V842503 + 1. assign V481186 = V266105. assign V281881 = V406041 - 1. assign V335822 = V708532 - 1. assign V551573 = V074412 + 1. assign V261864 = 5. assign V166820 = V311653 + 1. assign V731040 = V906362. assign V366600 = V043313 + 1. assign V108012 = V191968 + 1. assign V455054 = V065794 - 1. assign V723025 = V348953 - 1. assign V966643 = V666252 + 1. assign V544267 = V065794 - 1. assign V877483 = V136761 + 1. assign V416394 = V065794 - 1. assign V410490 = V065794 + 1. assign V611998 = V740343 - 1. assign V065794 = V739741. assign V874377 = V504459 + 1. assign V614089 = V875284 - 1. assign V636610 = V739741. assign V082764 = V049878 + 1. assign V107116 = V043313 - 1. assign V318289 = V933629 - 1. assign V842503 = V043313 - 1. assign V961817 = V621267 - 1. assign V264362 = V504459 + 1. assign V191968 = V389513 - 1. assign V344836 = V304224 - 1. assign V246235 = V083421. assign V458570 = V418641. assign V434515 = V261864 - 1. assign V443639 = V768049 - 1. assign V009379 = V874377 + 1. assign V889478 = V538907 - 1. assign V733173 = V783757. assign V468223 = V739741 - 1. assign V638957 = V099632. assign V090513 = V714455 - 1. assign V389513 = V366600 - 1. assign V002773 = V739741 + 1. assign V311653 = V547331 + 1. assign V548636 = V281881 + 1. assign V453248 = V226307 + 1. assign V768049 = V103404 + 1. assign V855960 = V458570 + 1. assign V903109 = V997893. assign V112340 = V312124 + 1. assign V821287 = V933629. assign V925632 = V855960 - 1. assign V339063 = V900968. assign V804035 = V083421. assign V119957 = V708532. assign V666252 = V621267 + 1. assign V567057 = V451919. assign V714455 = V538907 - 1. assign V290660 = V739741 - 1. assign V109744 = V682972 - 1. assign V158581 = V290660 + 1. assign V621267 = V954253 + 1. assign V155587 = V614089. assign V810395 = V566497. assign V258470 = V620727. assign V304224 = V366600. assign V174898 = V103404 + 1. assign V586215 = V974428 + 1. assign V058620 = V954253 - 1. assign V428803 = V708532. assign V351520 = V451919 + 1. assign V630814 = V406041 + 1. assign V682972 = V226307 - 1. assign V410911 = V011199 - 1. assign V043313 = V881870. assign V833022 = V290660 + 1. assign V391645 = V081914 + 1. assign V593953 = V140379. assign V538907 = V708532 + 1. assign V754905 = V347275 - 1. assign V868316 = V136761. assign V521230 = V140085. assign V783757 = V312124. assign V580895 = V547331. assign V886907 = V043313 + 1. assign V406041 = V103404 + 1. assign V278328 = V548636 + 1. assign V698596 = V563791 - 1. assign V822167 = V906362 - 1. assign V074412 = V647827. assign V547331 = V739741. assign V516437 = V281881. assign V795374 = V406041 + 1. assign V451919 = V586215 + 1. assign V545644 = V547331 - 1. assign V363024 = V881870 + 1. assign V708532 = V226307 + 1. assign V698830 = V427460. assign V430533 = V784066 - 1. assign V282588 = V226307. assign V906362 = V784066. assign V435864 = V496069 - 1. assign V258036 = V548636 - 1. assign V467371 = V899398. assign V980163 = V906362 - 1. assign V936645 = V621267 + 1. assign V933629 = V784066 - 1. assign V563791 = V065794 + 1. assign V525061 = V158581 - 1. assign V697646 = V406041. assign V751050 = V406041. assign V459538 = V049878 + 1. assign V808261 = V697646 - 1. assign V283430 = V453248. assign V796854 = V011199 + 1. assign V784066 = V636610. assign V837494 = V783757.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V000871 = V103404. assign V670565 = V821287 - 1. assign V875284 = V697646 - 1. assign V226693 = V430533 - 1. assign V899398 = V980163 - 1. assign V245735 = V234115. assign V415692 = V714455. assign V504459 = V566497 + 1. assign V136761 = V243061. assign V367614 = V740343. assign V083421 = V043313 - 1. assign V700448 = V030268 - 1. assign V900968 = V961817 - 1. assign V030268 = V043313 - 1. assign V266105 = V545644 - 1. assign V496069 = V504459 + 1. assign V099632 = V936645 + 1. assign V954253 = V740343 - 1. assign V634864 = V874377. assign V348953 = V620727 + 1. assign V507704 = V784066. assign V103404 = V226307 + 1. assign V794163 = V191968 + 1. assign V739741 = V881870 - 1. assign V998294 = V899398. assign V049878 = V563791. assign V974428 = V043313 + 1. assign V540337 = V468223. assign V208743 = V586215 + 1. assign V146682 = V875284 - 1. assign V817110 = V191968 - 1. assign V011199 = V043313 - 1. assign V620727 = V243061. assign V312124 = V636610. assign V348965 = V140085 + 1. assign V610362 = V933629 - 1. assign V997893 = V258036 + 1. assign V501046 = V540337 + 1. assign V189708 = V899398 + 1. assign V740343 = V586215. assign V922553 = V043313. assign V081914 = V243061 - 1. assign V347275 = V266105 - 1. assign V849140 = V796854. assign V226307 = V547331 + 1. assign V647827 = V030268. assign V140085 = V933629 + 1. assign V234115 = V281881. assign V140379 = V318289 + 1. assign V427460 = V058620 - 1. assign V418641 = V621267 - 1. assign V243061 = V264362 + 1. assign V566497 = V881870 - 1. assign V388057 = V980163 + 1. assign V813769 = V842503. assign V224467 = V406041 + 1. assign V485079 = V842503 + 1. assign V481186 = V266105. assign V281881 = V406041 - 1. assign V335822 = V708532 - 1. assign V551573 = V074412 + 1. assign V261864 = 5. assign V166820 = V311653 + 1. assign V731040 = V906362. assign V366600 = V043313 + 1. assign V108012 = V191968 + 1. assign V455054 = V065794 - 1. assign V723025 = V348953 - 1. assign V966643 = V666252 + 1. assign V544267 = V065794 - 1. assign V877483 = V136761 + 1. assign V416394 = V065794 - 1. assign V410490 = V065794 + 1. assign V611998 = V740343 - 1. assign V065794 = V739741. assign V874377 = V504459 + 1. assign V614089 = V875284 - 1. assign V636610 = V739741. assign V082764 = V049878 + 1. assign V107116 = V043313 - 1. assign V318289 = V933629 - 1. assign V842503 = V043313 - 1. assign V961817 = V621267 - 1. assign V264362 = V504459 + 1. assign V191968 = V389513 - 1. assign V344836 = V304224 - 1. assign V246235 = V083421. assign V458570 = V418641. assign V434515 = V261864 - 1. assign V443639 = V768049 - 1. assign V009379 = V874377 + 1. assign V889478 = V538907 - 1. assign V733173 = V783757. assign V468223 = V739741 - 1. assign V638957 = V099632. assign V090513 = V714455 - 1. assign V389513 = V366600 - 1. assign V002773 = V739741 + 1. assign V311653 = V547331 + 1. assign V548636 = V281881 + 1. assign V453248 = V226307 + 1. assign V768049 = V103404 + 1. assign V855960 = V458570 + 1. assign V903109 = V997893. assign V112340 = V312124 + 1. assign V821287 = V933629. assign V925632 = V855960 - 1. assign V339063 = V900968. assign V804035 = V083421. assign V119957 = V708532. assign V666252 = V621267 + 1. assign V567057 = V451919. assign V714455 = V538907 - 1. assign V290660 = V739741 - 1. assign V109744 = V682972 - 1. assign V158581 = V290660 + 1. assign V621267 = V954253 + 1. assign V155587 = V614089. assign V810395 = V566497. assign V258470 = V620727. assign V304224 = V366600. assign V174898 = V103404 + 1. assign V586215 = V974428 + 1. assign V058620 = V954253 - 1. assign V428803 = V708532. assign V351520 = V451919 + 1. assign V630814 = V406041 + 1. assign V682972 = V226307 - 1. assign V410911 = V011199 - 1. assign V043313 = V881870. assign V833022 = V290660 + 1. assign V391645 = V081914 + 1. assign V593953 = V140379. assign V538907 = V708532 + 1. assign V754905 = V347275 - 1. assign V868316 = V136761. assign V521230 = V140085. assign V783757 = V312124. assign V580895 = V547331. assign V886907 = V043313 + 1. assign V406041 = V103404 + 1. assign V278328 = V548636 + 1. assign V698596 = V563791 - 1. assign V822167 = V906362 - 1. assign V074412 = V647827. assign V547331 = V739741. assign V516437 = V281881. assign V795374 = V406041 + 1. assign V451919 = V586215 + 1. assign V545644 = V547331 - 1. assign V363024 = V881870 + 1. assign V708532 = V226307 + 1. assign V698830 = V427460. assign V430533 = V784066 - 1. assign V282588 = V226307. assign V906362 = V784066. assign V435864 = V496069 - 1. assign V258036 = V548636 - 1. assign V467371 = V899398. assign V980163 = V906362 - 1. assign V936645 = V621267 + 1. assign V933629 = V784066 - 1. assign V563791 = V065794 + 1. assign V525061 = V158581 - 1. assign V697646 = V406041. assign V751050 = V406041. assign V459538 = V049878 + 1. assign V808261 = V697646 - 1. assign V283430 = V453248. assign V796854 = V011199 + 1. assign V784066 = V636610. assign V837494 = V783757.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV261864 = 5;\n\nFrom these direct assignment(s), we have: \nV434515 = V261864 - 1 = 5 - 1 =4;\nNo other variables can be derived from V434515;\nNo other variables can be derived from V261864;\n\nNow we have done all the calculations. Derived variables are:\nV261864 = 5;\nV434515 = 4;\n\nNow we have finished this problem. ANSWER:\nV434515\n", "role": "assistant" } ]

[ "V684097", "V879851" ]

[ { "content": "<context>\nassign V879851 = V684097. assign V075523 = V865394. assign V400194 = V707160 + 1. assign V973592 = V515717 + 1. assign V844131 = V698372. assign V596667 = V740057 + 1. assign V321671 = V088943 + 1. assign V419855 = V574437. assign V974569 = V253456 - 1. assign V622645 = V090734 + 1. assign V257453 = V831661 + 1. assign V857599 = V835972. assign V949318 = V901443 - 1. assign V418848 = V812330 - 1. assign V077856 = V090734 + 1. assign V892488 = V245478. assign V662256 = V891641 + 1. assign V082753 = V133211 + 1. assign V090734 = V662256. assign V062086 = V039954. assign V522249 = V835972. assign V743763 = V935856 + 1. assign V033737 = V812330. assign V707160 = V743763. assign V143315 = V400194 - 1. assign V736593 = V958799. assign V118154 = V865394. assign V987078 = V812330 - 1. assign V280035 = V859360 - 1. assign V090066 = V987078 + 1. assign V340494 = V039954 + 1. assign V066767 = V935856 - 1. assign V935613 = V935856. assign V089351 = V075523 - 1. assign V077540 = V094397 + 1. assign V888797 = V066767. assign V894259 = V698372 - 1. assign V253456 = V772706 + 1. assign V545706 = V831661 - 1. assign V549019 = V811208. assign V584349 = V148830 - 1. assign V349689 = V936674 - 1. assign V698372 = V743763. assign V800593 = V094397 + 1. assign V052867 = V940324 + 1. assign V455665 = V418848 - 1. assign V679974 = V522249. assign V936647 = V455665 - 1. assign V274055 = V341606 + 1. assign V835959 = V449596 - 1. assign V972364 = V859360 + 1. assign V248408 = V853228. assign V303148 = V290881 - 1. assign V115640 = V321671 - 1. assign V271724 = V633285 + 1. assign V901443 = V426336. assign V426336 = V094397. assign V224849 = V341606. assign V425502 = V844131 - 1. assign V515717 = V541264 - 1. assign V873900 = V743763 - 1. assign V909213 = V545706. assign V124425 = V352933 - 1. assign V357389 = V772706 + 1. assign V438426 = V935613 + 1. assign V733869 = V800982. assign V299645 = V077540 - 1. assign V460243 = V545706. assign V337884 = V935856. assign V304971 = V028255 + 1. assign V023638 = V280768. assign V940324 = V811208 - 1. assign V574437 = V387054. assign V835972 = V812330 - 1. assign V381025 = V393934 + 1. assign V993974 = V812330. assign V120472 = V381025 - 1. assign V133211 = V935856 - 1. assign V245478 = V265463 - 1. assign V158281 = V831661 + 1. assign V070313 = V426336 - 1. assign V891105 = V400194 + 1. assign V265463 = V831661 - 1. assign V352933 = V549019. assign V165263 = V549019 + 1. assign V080729 = V276107 + 1. assign V181628 = V574437 - 1. assign V851740 = V393934 - 1. assign V184906 = V987078 + 1. assign V539782 = V075523 - 1. assign V146857 = V094397. assign V314775 = V143315 - 1. assign V831661 = V088943 - 1. assign V150089 = V062086 + 1. assign V825011 = V993974 + 1. assign V088943 = V743763. assign V786411 = V184906. assign V450091 = V900270 + 1. assign V183527 = V449596 + 1. assign V589359 = V800982 + 1. assign V811208 = V633285. assign V684097 = 4. assign V059214 = V935613. assign V603138 = V089351 - 1. assign V806568 = V387054 - 1. assign V900270 = V257453 + 1. assign V944417 = V865394 + 1. assign V094397 = V088943 - 1. assign V341606 = V622645 + 1. assign V021048 = V740057 - 1. assign V891641 = V418848 - 1. assign V387054 = V900270 + 1. assign V223257 = V901443 - 1. assign V429245 = V184906 + 1. assign V711525 = V566130 + 1. assign V384683 = V935856 - 1. assign V988525 = V740057 - 1. assign V939889 = V988525 - 1. assign V713431 = V574437 + 1. assign V039954 = V545706. assign V934665 = V088943. assign V171583 = V393934. assign V124498 = V835972 - 1. assign V121929 = V940324. assign V065037 = V566130 - 1. assign V028255 = V687225. assign V164604 = V900270 - 1. assign V456641 = V066767. assign V600513 = V661000 - 1. assign V687225 = V164604 - 1. assign V059515 = V888797. assign V271239 = V935856. assign V812330 = V935856 + 1. assign V082596 = V456641 + 1. assign V690208 = V455665. assign V740057 = V936674. assign V772706 = V566130. assign V297416 = V124425. assign V031649 = V891641. assign V840497 = V772706 - 1. assign V393934 = V429245 + 1. assign V800982 = V257453 + 1. assign V865394 = V900270 - 1. assign V290881 = V456641. assign V361357 = V987078 - 1. assign V396460 = V772582. assign V661000 = V733869 - 1. assign V936674 = V545706 - 1. assign V772043 = V265463 + 1. assign V449596 = V806568. assign V784470 = V456641 - 1. assign V276107 = V772706. assign V853228 = V257453. assign V772582 = V148830 - 1. assign V859360 = V549019. assign V566130 = V698372 - 1. assign V143064 = V082596. assign V958799 = V455665. assign V148830 = V800593. assign V378743 = V357389. assign V414768 = V075523. assign V633285 = V835972 + 1. assign V506133 = V164604. assign V541264 = V265463 - 1. assign V280768 = V844131. assign V024535 = V811208 + 1. assign V405226 = V935856 - 1. assign V981145 = V888797 - 1. assign V634078 = V024535 + 1. assign V836432 = V740057 - 1. assign V030346 = V148830 + 1. assign V244176 = V936674.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V879851 = V684097. assign V075523 = V865394. assign V400194 = V707160 + 1. assign V973592 = V515717 + 1. assign V844131 = V698372. assign V596667 = V740057 + 1. assign V321671 = V088943 + 1. assign V419855 = V574437. assign V974569 = V253456 - 1. assign V622645 = V090734 + 1. assign V257453 = V831661 + 1. assign V857599 = V835972. assign V949318 = V901443 - 1. assign V418848 = V812330 - 1. assign V077856 = V090734 + 1. assign V892488 = V245478. assign V662256 = V891641 + 1. assign V082753 = V133211 + 1. assign V090734 = V662256. assign V062086 = V039954. assign V522249 = V835972. assign V743763 = V935856 + 1. assign V033737 = V812330. assign V707160 = V743763. assign V143315 = V400194 - 1. assign V736593 = V958799. assign V118154 = V865394. assign V987078 = V812330 - 1. assign V280035 = V859360 - 1. assign V090066 = V987078 + 1. assign V340494 = V039954 + 1. assign V066767 = V935856 - 1. assign V935613 = V935856. assign V089351 = V075523 - 1. assign V077540 = V094397 + 1. assign V888797 = V066767. assign V894259 = V698372 - 1. assign V253456 = V772706 + 1. assign V545706 = V831661 - 1. assign V549019 = V811208. assign V584349 = V148830 - 1. assign V349689 = V936674 - 1. assign V698372 = V743763. assign V800593 = V094397 + 1. assign V052867 = V940324 + 1. assign V455665 = V418848 - 1. assign V679974 = V522249. assign V936647 = V455665 - 1. assign V274055 = V341606 + 1. assign V835959 = V449596 - 1. assign V972364 = V859360 + 1. assign V248408 = V853228. assign V303148 = V290881 - 1. assign V115640 = V321671 - 1. assign V271724 = V633285 + 1. assign V901443 = V426336. assign V426336 = V094397. assign V224849 = V341606. assign V425502 = V844131 - 1. assign V515717 = V541264 - 1. assign V873900 = V743763 - 1. assign V909213 = V545706. assign V124425 = V352933 - 1. assign V357389 = V772706 + 1. assign V438426 = V935613 + 1. assign V733869 = V800982. assign V299645 = V077540 - 1. assign V460243 = V545706. assign V337884 = V935856. assign V304971 = V028255 + 1. assign V023638 = V280768. assign V940324 = V811208 - 1. assign V574437 = V387054. assign V835972 = V812330 - 1. assign V381025 = V393934 + 1. assign V993974 = V812330. assign V120472 = V381025 - 1. assign V133211 = V935856 - 1. assign V245478 = V265463 - 1. assign V158281 = V831661 + 1. assign V070313 = V426336 - 1. assign V891105 = V400194 + 1. assign V265463 = V831661 - 1. assign V352933 = V549019. assign V165263 = V549019 + 1. assign V080729 = V276107 + 1. assign V181628 = V574437 - 1. assign V851740 = V393934 - 1. assign V184906 = V987078 + 1. assign V539782 = V075523 - 1. assign V146857 = V094397. assign V314775 = V143315 - 1. assign V831661 = V088943 - 1. assign V150089 = V062086 + 1. assign V825011 = V993974 + 1. assign V088943 = V743763. assign V786411 = V184906. assign V450091 = V900270 + 1. assign V183527 = V449596 + 1. assign V589359 = V800982 + 1. assign V811208 = V633285. assign V684097 = 4. assign V059214 = V935613. assign V603138 = V089351 - 1. assign V806568 = V387054 - 1. assign V900270 = V257453 + 1. assign V944417 = V865394 + 1. assign V094397 = V088943 - 1. assign V341606 = V622645 + 1. assign V021048 = V740057 - 1. assign V891641 = V418848 - 1. assign V387054 = V900270 + 1. assign V223257 = V901443 - 1. assign V429245 = V184906 + 1. assign V711525 = V566130 + 1. assign V384683 = V935856 - 1. assign V988525 = V740057 - 1. assign V939889 = V988525 - 1. assign V713431 = V574437 + 1. assign V039954 = V545706. assign V934665 = V088943. assign V171583 = V393934. assign V124498 = V835972 - 1. assign V121929 = V940324. assign V065037 = V566130 - 1. assign V028255 = V687225. assign V164604 = V900270 - 1. assign V456641 = V066767. assign V600513 = V661000 - 1. assign V687225 = V164604 - 1. assign V059515 = V888797. assign V271239 = V935856. assign V812330 = V935856 + 1. assign V082596 = V456641 + 1. assign V690208 = V455665. assign V740057 = V936674. assign V772706 = V566130. assign V297416 = V124425. assign V031649 = V891641. assign V840497 = V772706 - 1. assign V393934 = V429245 + 1. assign V800982 = V257453 + 1. assign V865394 = V900270 - 1. assign V290881 = V456641. assign V361357 = V987078 - 1. assign V396460 = V772582. assign V661000 = V733869 - 1. assign V936674 = V545706 - 1. assign V772043 = V265463 + 1. assign V449596 = V806568. assign V784470 = V456641 - 1. assign V276107 = V772706. assign V853228 = V257453. assign V772582 = V148830 - 1. assign V859360 = V549019. assign V566130 = V698372 - 1. assign V143064 = V082596. assign V958799 = V455665. assign V148830 = V800593. assign V378743 = V357389. assign V414768 = V075523. assign V633285 = V835972 + 1. assign V506133 = V164604. assign V541264 = V265463 - 1. assign V280768 = V844131. assign V024535 = V811208 + 1. assign V405226 = V935856 - 1. assign V981145 = V888797 - 1. assign V634078 = V024535 + 1. assign V836432 = V740057 - 1. assign V030346 = V148830 + 1. assign V244176 = V936674.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV684097 = 4;\n\nFrom these direct assignment(s), we have: \nV879851 = V684097 = 4;\nNo other variables can be derived from V879851;\nNo other variables can be derived from V684097;\n\nNow we have done all the calculations. Derived variables are:\nV684097 = 4;\nV879851 = 4;\n\nNow we have finished this problem. ANSWER:\nV684097, V879851\n", "role": "assistant" } ]

[ "V471424" ]

[ { "content": "<context>\nassign V613829 = V416397 + 1. assign V286656 = V204073 + 1. assign V611130 = V691174. assign V460073 = V337472. assign V839170 = V108095. assign V576046 = V076165. assign V585522 = V584176 + 1. assign V390263 = V306009. assign V289989 = V955260 + 1. assign V361241 = V140305. assign V596233 = V279734 + 1. assign V936874 = V724845 + 1. assign V701447 = V604611 - 1. assign V583965 = V192392 + 1. assign V171526 = V963200. assign V140305 = V732488 + 1. assign V179655 = V051338. assign V312048 = V864019. assign V068959 = V955260. assign V565784 = V140305 + 1. assign V241134 = V955260. assign V039844 = V576834 - 1. assign V268274 = V472105 + 1. assign V290221 = V551696 + 1. assign V709194 = V740140 - 1. assign V162290 = V338640. assign V581581 = V204073. assign V726731 = V764422 - 1. assign V978634 = V604611. assign V675559 = V575686 + 1. assign V765008 = V626103. assign V764422 = V644722 + 1. assign V765145 = V903342 + 1. assign V096000 = V955260 - 1. assign V955260 = V266028. assign V698046 = V192392. assign V432066 = V061649 + 1. assign V850201 = V387245 + 1. assign V227807 = V475850. assign V626103 = V701447 - 1. assign V989574 = V701447 + 1. assign V670029 = V179655 - 1. assign V255280 = V289989 - 1. assign V747378 = V337472 + 1. assign V644722 = V955260 + 1. assign V864019 = V938008 + 1. assign V416397 = V584176 - 1. assign V559047 = V701447 + 1. assign V290956 = V754552 - 1. assign V323068 = V740140. assign V930128 = V140305. assign V149967 = V823319 + 1. assign V903342 = V063951. assign V077587 = V626103 + 1. assign V471486 = V338640 + 1. assign V407180 = V068959 - 1. assign V337472 = V703851 - 1. assign V203703 = V797382. assign V039208 = V416397 + 1. assign V605068 = V797177 + 1. assign V051338 = V338640 + 1. assign V218231 = V019065 + 1. assign V192392 = V204073. assign V823319 = V017470 + 1. assign V427507 = V454181 - 1. assign V041530 = V266028 - 1. assign V487655 = V585522 + 1. assign V203518 = V275935. assign V454181 = V864019 + 1. assign V531446 = V683185 - 1. assign V699277 = V764465. assign V475850 = V108095 - 1. assign V882357 = V275935. assign V691174 = V855940 - 1. assign V376818 = V963200. assign V896531 = V559047. assign V876148 = V138906. assign V676625 = V955260. assign V387245 = V963200. assign V855940 = V963200 + 1. assign V621560 = V338640. assign V963200 = V203518 - 1. assign V683185 = V978634 - 1. assign V808164 = V289989. assign V275935 = V864019 + 1. assign V316998 = V581581 + 1. assign V328926 = V270255. assign V482955 = V855940. assign V697113 = V294114 - 1. assign V650122 = V288307 - 1. assign V288210 = V063951 + 1. assign V992198 = V427507. assign V160880 = V077587. assign V138906 = V501994 + 1. assign V938008 = V955260 - 1. assign V724845 = V288210. assign V200071 = V936874. assign V850019 = V241134 - 1. assign V974247 = V200071 + 1. assign V706112 = V061649 - 1. assign V339558 = V644722. assign V306009 = V740140 - 1. assign V703851 = V724845 - 1. assign V279734 = V482955 - 1. assign V797177 = V288210 + 1. assign V880078 = V039208. assign V404223 = V864019 - 1. assign V270255 = V266028 - 1. assign V636785 = V559047 + 1. assign V633629 = V275935. assign V575686 = V482955 - 1. assign V007259 = V697113 + 1. assign V576834 = V289989. assign V061649 = V140305 - 1. assign V551696 = V416397. assign V043670 = V289989. assign V724769 = V039844 - 1. assign V825526 = V955260 + 1. assign V934920 = V936874. assign V501994 = V241134. assign V748358 = V769640 + 1. assign V764465 = V203518 - 1. assign V404164 = V404223. assign V712320 = V936874. assign V471424 = 8. assign V219530 = V294114 - 1. assign V123852 = V576046 - 1. assign V304935 = V289989 - 1. assign V500902 = V936874. assign V279909 = V703607 - 1. assign V076165 = V864019 + 1. assign V295036 = V839170 - 1. assign V534210 = V319823 + 1. assign V063951 = V289989 + 1. assign V263714 = V063951 + 1. assign V992909 = V575686. assign V732488 = V266028 - 1. assign V319823 = V289989 - 1. assign V283513 = V288307. assign V461534 = V644722. assign V754552 = V732488 - 1. assign V584176 = V068959 + 1. assign V066096 = V219530 - 1. assign V797382 = V576834. assign V780132 = V938008. assign V019065 = V108095 + 1. assign V225699 = V306009. assign V288307 = V724845 - 1. assign V005843 = V576834 + 1. assign V108095 = V404223 + 1. assign V769640 = V275935. assign V722926 = V864019. assign V703607 = V764465 + 1. assign V338640 = V584176 + 1. assign V017470 = V584176. assign V204073 = V780132. assign V050855 = V017470 + 1. assign V431686 = V019065 - 1. assign V711992 = V204073 + 1. assign V941125 = V955260 + 1. assign V040281 = V361241. assign V294114 = V839170 - 1. assign V604611 = V068959. assign V914054 = V697113 - 1. assign V756356 = V575686 - 1. assign V539372 = V471424 + 1. assign V124491 = V955260 - 1. assign V472105 = V203518. assign V129954 = V769640 + 1. assign V760553 = V722926 - 1. assign V740140 = V387245. assign V837315 = V576046 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V613829 = V416397 + 1. assign V286656 = V204073 + 1. assign V611130 = V691174. assign V460073 = V337472. assign V839170 = V108095. assign V576046 = V076165. assign V585522 = V584176 + 1. assign V390263 = V306009. assign V289989 = V955260 + 1. assign V361241 = V140305. assign V596233 = V279734 + 1. assign V936874 = V724845 + 1. assign V701447 = V604611 - 1. assign V583965 = V192392 + 1. assign V171526 = V963200. assign V140305 = V732488 + 1. assign V179655 = V051338. assign V312048 = V864019. assign V068959 = V955260. assign V565784 = V140305 + 1. assign V241134 = V955260. assign V039844 = V576834 - 1. assign V268274 = V472105 + 1. assign V290221 = V551696 + 1. assign V709194 = V740140 - 1. assign V162290 = V338640. assign V581581 = V204073. assign V726731 = V764422 - 1. assign V978634 = V604611. assign V675559 = V575686 + 1. assign V765008 = V626103. assign V764422 = V644722 + 1. assign V765145 = V903342 + 1. assign V096000 = V955260 - 1. assign V955260 = V266028. assign V698046 = V192392. assign V432066 = V061649 + 1. assign V850201 = V387245 + 1. assign V227807 = V475850. assign V626103 = V701447 - 1. assign V989574 = V701447 + 1. assign V670029 = V179655 - 1. assign V255280 = V289989 - 1. assign V747378 = V337472 + 1. assign V644722 = V955260 + 1. assign V864019 = V938008 + 1. assign V416397 = V584176 - 1. assign V559047 = V701447 + 1. assign V290956 = V754552 - 1. assign V323068 = V740140. assign V930128 = V140305. assign V149967 = V823319 + 1. assign V903342 = V063951. assign V077587 = V626103 + 1. assign V471486 = V338640 + 1. assign V407180 = V068959 - 1. assign V337472 = V703851 - 1. assign V203703 = V797382. assign V039208 = V416397 + 1. assign V605068 = V797177 + 1. assign V051338 = V338640 + 1. assign V218231 = V019065 + 1. assign V192392 = V204073. assign V823319 = V017470 + 1. assign V427507 = V454181 - 1. assign V041530 = V266028 - 1. assign V487655 = V585522 + 1. assign V203518 = V275935. assign V454181 = V864019 + 1. assign V531446 = V683185 - 1. assign V699277 = V764465. assign V475850 = V108095 - 1. assign V882357 = V275935. assign V691174 = V855940 - 1. assign V376818 = V963200. assign V896531 = V559047. assign V876148 = V138906. assign V676625 = V955260. assign V387245 = V963200. assign V855940 = V963200 + 1. assign V621560 = V338640. assign V963200 = V203518 - 1. assign V683185 = V978634 - 1. assign V808164 = V289989. assign V275935 = V864019 + 1. assign V316998 = V581581 + 1. assign V328926 = V270255. assign V482955 = V855940. assign V697113 = V294114 - 1. assign V650122 = V288307 - 1. assign V288210 = V063951 + 1. assign V992198 = V427507. assign V160880 = V077587. assign V138906 = V501994 + 1. assign V938008 = V955260 - 1. assign V724845 = V288210. assign V200071 = V936874. assign V850019 = V241134 - 1. assign V974247 = V200071 + 1. assign V706112 = V061649 - 1. assign V339558 = V644722. assign V306009 = V740140 - 1. assign V703851 = V724845 - 1. assign V279734 = V482955 - 1. assign V797177 = V288210 + 1. assign V880078 = V039208. assign V404223 = V864019 - 1. assign V270255 = V266028 - 1. assign V636785 = V559047 + 1. assign V633629 = V275935. assign V575686 = V482955 - 1. assign V007259 = V697113 + 1. assign V576834 = V289989. assign V061649 = V140305 - 1. assign V551696 = V416397. assign V043670 = V289989. assign V724769 = V039844 - 1. assign V825526 = V955260 + 1. assign V934920 = V936874. assign V501994 = V241134. assign V748358 = V769640 + 1. assign V764465 = V203518 - 1. assign V404164 = V404223. assign V712320 = V936874. assign V471424 = 8. assign V219530 = V294114 - 1. assign V123852 = V576046 - 1. assign V304935 = V289989 - 1. assign V500902 = V936874. assign V279909 = V703607 - 1. assign V076165 = V864019 + 1. assign V295036 = V839170 - 1. assign V534210 = V319823 + 1. assign V063951 = V289989 + 1. assign V263714 = V063951 + 1. assign V992909 = V575686. assign V732488 = V266028 - 1. assign V319823 = V289989 - 1. assign V283513 = V288307. assign V461534 = V644722. assign V754552 = V732488 - 1. assign V584176 = V068959 + 1. assign V066096 = V219530 - 1. assign V797382 = V576834. assign V780132 = V938008. assign V019065 = V108095 + 1. assign V225699 = V306009. assign V288307 = V724845 - 1. assign V005843 = V576834 + 1. assign V108095 = V404223 + 1. assign V769640 = V275935. assign V722926 = V864019. assign V703607 = V764465 + 1. assign V338640 = V584176 + 1. assign V017470 = V584176. assign V204073 = V780132. assign V050855 = V017470 + 1. assign V431686 = V019065 - 1. assign V711992 = V204073 + 1. assign V941125 = V955260 + 1. assign V040281 = V361241. assign V294114 = V839170 - 1. assign V604611 = V068959. assign V914054 = V697113 - 1. assign V756356 = V575686 - 1. assign V539372 = V471424 + 1. assign V124491 = V955260 - 1. assign V472105 = V203518. assign V129954 = V769640 + 1. assign V760553 = V722926 - 1. assign V740140 = V387245. assign V837315 = V576046 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV471424 = 8;\n\nFrom these direct assignment(s), we have: \nV539372 = V471424 + 1 = 8 + 1 =9;\nNo other variables can be derived from V539372;\nNo other variables can be derived from V471424;\n\nNow we have done all the calculations. Derived variables are:\nV471424 = 8;\nV539372 = 9;\n\nNow we have finished this problem. ANSWER:\nV471424\n", "role": "assistant" } ]

[ "V116783", "V336999" ]

[ { "content": "<context>\nassign V819848 = V650759 - 1. assign V832611 = V581400. assign V031855 = V178073. assign V098147 = V551184 - 1. assign V770741 = V835598 - 1. assign V575581 = V286091 - 1. assign V674247 = V742424 - 1. assign V752694 = V581400. assign V654297 = V532322 + 1. assign V325854 = V581400. assign V948683 = V475114 - 1. assign V142805 = V293901. assign V678001 = V656204 - 1. assign V178073 = V286091 - 1. assign V067113 = V660683 + 1. assign V226558 = V769287 + 1. assign V293901 = V431684 + 1. assign V130341 = V024172 + 1. assign V652756 = V752694 - 1. assign V944320 = V106084 + 1. assign V084405 = V618866 - 1. assign V627994 = V832611. assign V010487 = V130215. assign V106084 = V551184. assign V404219 = V425280 + 1. assign V586063 = V341968 - 1. assign V152161 = V270951 + 1. assign V281279 = V304068 + 1. assign V342799 = V032035 - 1. assign V922112 = V891792. assign V032035 = V742424 - 1. assign V681722 = V509367. assign V059309 = V832611 + 1. assign V944473 = V922172 + 1. assign V700786 = V922172. assign V676681 = V375931 + 1. assign V810831 = V226558 - 1. assign V601996 = V386794 - 1. assign V389793 = V226558 + 1. assign V586226 = V867500. assign V565940 = V111401 + 1. assign V579129 = V652756. assign V012114 = V681722 - 1. assign V183405 = V886393 + 1. assign V859054 = V001083 + 1. assign V766706 = V178073 - 1. assign V129794 = V458539. assign V996322 = V922172 + 1. assign V111401 = V929723. assign V641811 = V368627 + 1. assign V331552 = V550992 - 1. assign V992425 = V371605 + 1. assign V575594 = V584789 - 1. assign V663437 = V944320 + 1. assign V555633 = V474474. assign V042559 = V551184 + 1. assign V410324 = V654297. assign V609873 = V485686 - 1. assign V474474 = V509367 + 1. assign V458539 = V532322 + 1. assign V742424 = V337711. assign V039869 = V830065 + 1. assign V929515 = V337711. assign V425280 = V835598 - 1. assign V000559 = V375931. assign V070547 = V337711. assign V039839 = V030767 - 1. assign V690502 = V024172 - 1. assign V130215 = V922172 - 1. assign V475114 = V922172 - 1. assign V224408 = V147114. assign V263300 = V342799 - 1. assign V319679 = V067113 - 1. assign V618866 = V030767 - 1. assign V656204 = V039432 + 1. assign V023766 = V030767 - 1. assign V711111 = V929723. assign V375931 = V386794 + 1. assign V877245 = V477560. assign V431684 = V024172 - 1. assign V368627 = V601996. assign V128941 = V618866. assign V769287 = V326725 - 1. assign V626643 = V474474 - 1. assign V551184 = V337711 - 1. assign V485686 = V551184 - 1. assign V566716 = V509367. assign V995008 = V399568 + 1. assign V446246 = V652756 - 1. assign V964815 = V627994. assign V886393 = V581400. assign V516502 = V770741 + 1. assign V786998 = V226558 - 1. assign V035705 = V766706 + 1. assign V555116 = V368627. assign V270951 = V922172. assign V228168 = V581400. assign V581400 = V536562 + 1. assign V625468 = V368627 - 1. assign V536562 = V601996 - 1. assign V221389 = V536562. assign V963232 = V855562. assign V228702 = V404219. assign V029661 = V929723 - 1. assign V584789 = V401012. assign V477560 = V676681 + 1. assign V660683 = V551184. assign V855562 = V399568 - 1. assign V891792 = V326725 - 1. assign V761679 = V304068 - 1. assign V416408 = V130341 - 1. assign V825032 = V371605 - 1. assign V147114 = V601996 - 1. assign V060939 = V474474 - 1. assign V739827 = V626643 - 1. assign V255572 = V327917. assign V509367 = V551184 + 1. assign V386794 = V532322 + 1. assign V532322 = V070547 - 1. assign V869412 = V024172 - 1. assign V711551 = V618866 + 1. assign V812454 = V431684. assign V401012 = V566716 - 1. assign V042642 = V652756 - 1. assign V030767 = V929515 + 1. assign V001083 = V070547 + 1. assign V399568 = V458539. assign V222072 = V106084. assign V650759 = V401233 - 1. assign V283538 = V386794. assign V286091 = V929723. assign V795689 = V878268. assign V336999 = V116783. assign V625650 = V326725 + 1. assign V373216 = V474474 - 1. assign V830065 = V769287 + 1. assign V835598 = V337711 + 1. assign V174837 = V111401 + 1. assign V945499 = V869412. assign V371605 = V660683 - 1. assign V009637 = V032035. assign V326725 = V929515. assign V337711 = V024172 + 1. assign V635478 = V183405 + 1. assign V401233 = V030767 + 1. assign V116783 = 9. assign V503140 = V555633 - 1. assign V811196 = V566716. assign V320271 = V835598 + 1. assign V808029 = V678001. assign V964437 = V944320. assign V344875 = V823526 - 1. assign V304068 = V626643 + 1. assign V319205 = V964437. assign V209603 = V565940. assign V162047 = V401233 - 1. assign V929723 = V654297. assign V922172 = V386794 + 1. assign V550992 = V070547 - 1. assign V867500 = V458539 + 1. assign V028992 = V811196 - 1. assign V779170 = V532322. assign V893029 = V929515. assign V823526 = V106084 + 1. assign V878268 = V341968 - 1. assign V019567 = V878268 - 1. assign V357386 = V867500 - 1. assign V039432 = V060939 - 1. assign V341968 = V039869. assign V161992 = V331552 - 1. assign V327917 = V331552 - 1. assign V943754 = V325854 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V819848 = V650759 - 1. assign V832611 = V581400. assign V031855 = V178073. assign V098147 = V551184 - 1. assign V770741 = V835598 - 1. assign V575581 = V286091 - 1. assign V674247 = V742424 - 1. assign V752694 = V581400. assign V654297 = V532322 + 1. assign V325854 = V581400. assign V948683 = V475114 - 1. assign V142805 = V293901. assign V678001 = V656204 - 1. assign V178073 = V286091 - 1. assign V067113 = V660683 + 1. assign V226558 = V769287 + 1. assign V293901 = V431684 + 1. assign V130341 = V024172 + 1. assign V652756 = V752694 - 1. assign V944320 = V106084 + 1. assign V084405 = V618866 - 1. assign V627994 = V832611. assign V010487 = V130215. assign V106084 = V551184. assign V404219 = V425280 + 1. assign V586063 = V341968 - 1. assign V152161 = V270951 + 1. assign V281279 = V304068 + 1. assign V342799 = V032035 - 1. assign V922112 = V891792. assign V032035 = V742424 - 1. assign V681722 = V509367. assign V059309 = V832611 + 1. assign V944473 = V922172 + 1. assign V700786 = V922172. assign V676681 = V375931 + 1. assign V810831 = V226558 - 1. assign V601996 = V386794 - 1. assign V389793 = V226558 + 1. assign V586226 = V867500. assign V565940 = V111401 + 1. assign V579129 = V652756. assign V012114 = V681722 - 1. assign V183405 = V886393 + 1. assign V859054 = V001083 + 1. assign V766706 = V178073 - 1. assign V129794 = V458539. assign V996322 = V922172 + 1. assign V111401 = V929723. assign V641811 = V368627 + 1. assign V331552 = V550992 - 1. assign V992425 = V371605 + 1. assign V575594 = V584789 - 1. assign V663437 = V944320 + 1. assign V555633 = V474474. assign V042559 = V551184 + 1. assign V410324 = V654297. assign V609873 = V485686 - 1. assign V474474 = V509367 + 1. assign V458539 = V532322 + 1. assign V742424 = V337711. assign V039869 = V830065 + 1. assign V929515 = V337711. assign V425280 = V835598 - 1. assign V000559 = V375931. assign V070547 = V337711. assign V039839 = V030767 - 1. assign V690502 = V024172 - 1. assign V130215 = V922172 - 1. assign V475114 = V922172 - 1. assign V224408 = V147114. assign V263300 = V342799 - 1. assign V319679 = V067113 - 1. assign V618866 = V030767 - 1. assign V656204 = V039432 + 1. assign V023766 = V030767 - 1. assign V711111 = V929723. assign V375931 = V386794 + 1. assign V877245 = V477560. assign V431684 = V024172 - 1. assign V368627 = V601996. assign V128941 = V618866. assign V769287 = V326725 - 1. assign V626643 = V474474 - 1. assign V551184 = V337711 - 1. assign V485686 = V551184 - 1. assign V566716 = V509367. assign V995008 = V399568 + 1. assign V446246 = V652756 - 1. assign V964815 = V627994. assign V886393 = V581400. assign V516502 = V770741 + 1. assign V786998 = V226558 - 1. assign V035705 = V766706 + 1. assign V555116 = V368627. assign V270951 = V922172. assign V228168 = V581400. assign V581400 = V536562 + 1. assign V625468 = V368627 - 1. assign V536562 = V601996 - 1. assign V221389 = V536562. assign V963232 = V855562. assign V228702 = V404219. assign V029661 = V929723 - 1. assign V584789 = V401012. assign V477560 = V676681 + 1. assign V660683 = V551184. assign V855562 = V399568 - 1. assign V891792 = V326725 - 1. assign V761679 = V304068 - 1. assign V416408 = V130341 - 1. assign V825032 = V371605 - 1. assign V147114 = V601996 - 1. assign V060939 = V474474 - 1. assign V739827 = V626643 - 1. assign V255572 = V327917. assign V509367 = V551184 + 1. assign V386794 = V532322 + 1. assign V532322 = V070547 - 1. assign V869412 = V024172 - 1. assign V711551 = V618866 + 1. assign V812454 = V431684. assign V401012 = V566716 - 1. assign V042642 = V652756 - 1. assign V030767 = V929515 + 1. assign V001083 = V070547 + 1. assign V399568 = V458539. assign V222072 = V106084. assign V650759 = V401233 - 1. assign V283538 = V386794. assign V286091 = V929723. assign V795689 = V878268. assign V336999 = V116783. assign V625650 = V326725 + 1. assign V373216 = V474474 - 1. assign V830065 = V769287 + 1. assign V835598 = V337711 + 1. assign V174837 = V111401 + 1. assign V945499 = V869412. assign V371605 = V660683 - 1. assign V009637 = V032035. assign V326725 = V929515. assign V337711 = V024172 + 1. assign V635478 = V183405 + 1. assign V401233 = V030767 + 1. assign V116783 = 9. assign V503140 = V555633 - 1. assign V811196 = V566716. assign V320271 = V835598 + 1. assign V808029 = V678001. assign V964437 = V944320. assign V344875 = V823526 - 1. assign V304068 = V626643 + 1. assign V319205 = V964437. assign V209603 = V565940. assign V162047 = V401233 - 1. assign V929723 = V654297. assign V922172 = V386794 + 1. assign V550992 = V070547 - 1. assign V867500 = V458539 + 1. assign V028992 = V811196 - 1. assign V779170 = V532322. assign V893029 = V929515. assign V823526 = V106084 + 1. assign V878268 = V341968 - 1. assign V019567 = V878268 - 1. assign V357386 = V867500 - 1. assign V039432 = V060939 - 1. assign V341968 = V039869. assign V161992 = V331552 - 1. assign V327917 = V331552 - 1. assign V943754 = V325854 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV116783 = 9;\n\nFrom these direct assignment(s), we have: \nV336999 = V116783 = 9;\nNo other variables can be derived from V336999;\nNo other variables can be derived from V116783;\n\nNow we have done all the calculations. Derived variables are:\nV116783 = 9;\nV336999 = 9;\n\nNow we have finished this problem. ANSWER:\nV116783, V336999\n", "role": "assistant" } ]

[ "V859595" ]

[ { "content": "<context>\nassign V664783 = V404945 - 1. assign V345486 = V455806. assign V341893 = V106462 - 1. assign V556541 = V314339. assign V023603 = V316027 - 1. assign V796044 = V721969 - 1. assign V712798 = V310446 - 1. assign V255700 = V310446 + 1. assign V928786 = V232389 - 1. assign V825044 = V371893 + 1. assign V704873 = V277433 - 1. assign V095491 = V120553 - 1. assign V859595 = V277832 - 1. assign V637485 = V277433 - 1. assign V386634 = V314339 + 1. assign V817027 = V546360. assign V371018 = V210663 - 1. assign V826882 = V042564 + 1. assign V426602 = V298874 - 1. assign V813922 = V763340. assign V301204 = V131491 - 1. assign V697706 = V584242 + 1. assign V805737 = V943677 - 1. assign V885452 = V104594. assign V112782 = V155854 - 1. assign V288672 = V813922 - 1. assign V832474 = V858810 + 1. assign V218733 = V826882. assign V325276 = V108870 - 1. assign V307534 = V445757 + 1. assign V763340 = V584242 + 1. assign V333485 = V926779 + 1. assign V805511 = V858810 + 1. assign V500513 = V724197 + 1. assign V688598 = V599795 - 1. assign V644876 = V277433 - 1. assign V096567 = V285575 + 1. assign V858810 = V607490 - 1. assign V697840 = V023839 + 1. assign V794812 = V805511. assign V467600 = V078637 + 1. assign V145859 = V788104 + 1. assign V333917 = V637485 + 1. assign V748649 = V532192 + 1. assign V541635 = V698022 - 1. assign V127814 = V371893. assign V446210 = V052836 + 1. assign V165841 = V108870 - 1. assign V791828 = V573984. assign V815858 = V042564 - 1. assign V661261 = V710254 + 1. assign V823967 = V797415 + 1. assign V476326 = V939774 + 1. assign V445757 = V472514 + 1. assign V736936 = V697706 - 1. assign V153842 = V341893 - 1. assign V926779 = V898056 + 1. assign V570495 = V187049. assign V210663 = V926779 - 1. assign V187750 = V205161 - 1. assign V354128 = V476380 + 1. assign V799403 = V573984. assign V648265 = V010080 - 1. assign V797109 = V557505 - 1. assign V367931 = V205161. assign V403079 = V091745. assign V104594 = V285575 - 1. assign V710254 = V369594 + 1. assign V098813 = V023839 + 1. assign V131491 = V298874 - 1. assign V154812 = V165841. assign V108870 = V445757. assign V059780 = V165841. assign V769033 = V805737 - 1. assign V707797 = V285575 + 1. assign V724197 = V926779 + 1. assign V573984 = V898056 - 1. assign V075804 = V248762. assign V232389 = V532192 - 1. assign V078903 = V165841 + 1. assign V698022 = V277433 + 1. assign V935416 = V472514 + 1. assign V341024 = V010080 - 1. assign V632074 = V799403 - 1. assign V047553 = V187049 + 1. assign V886664 = V445757. assign V074643 = V154812. assign V033469 = V059780. assign V607490 = V532192. assign V361821 = V178959. assign V943677 = V078903 + 1. assign V187049 = V254918 + 1. assign V843672 = V298874 + 1. assign V285575 = V799403 + 1. assign V345928 = V033469 + 1. assign V061892 = V546360 - 1. assign V211393 = V858810 + 1. assign V277832 = 1. assign V157425 = V632074 + 1. assign V283080 = V748649 + 1. assign V764129 = V254918 + 1. assign V052836 = V476380. assign V277433 = V573984 + 1. assign V476380 = V710254 - 1. assign V957696 = V939774 + 1. assign V248762 = V843672 - 1. assign V687765 = V317018 - 1. assign V853330 = V218733 - 1. assign V023839 = V799403. assign V317018 = V817027 - 1. assign V504571 = V943677. assign V717940 = V826882 - 1. assign V418564 = V926779. assign V310446 = V155854. assign V318170 = V210663 + 1. assign V599795 = V704873 + 1. assign V575407 = V260972. assign V794933 = V926779. assign V311657 = V232389. assign V099976 = V095491 + 1. assign V254918 = V234086 + 1. assign V166958 = V210663 - 1. assign V234086 = V607490. assign V097555 = V717940 + 1. assign V252047 = V371018 + 1. assign V316027 = V717940 + 1. assign V326947 = V288672. assign V042564 = V607490 + 1. assign V557505 = V426602 + 1. assign V371893 = V234086 + 1. assign V939774 = V813922. assign V230929 = V996556. assign V820482 = V546360. assign V181196 = V817027. assign V120553 = V091745 - 1. assign V178959 = V520635 - 1. assign V520635 = V698022 + 1. assign V205161 = V823967 - 1. assign V260972 = V317018 + 1. assign V455806 = V078903. assign V987343 = V010080 + 1. assign V929198 = V476326 - 1. assign V458455 = V788104. assign V721969 = V445757 + 1. assign V404945 = V721969 + 1. assign V996556 = V637485 - 1. assign V065005 = V748649. assign V155854 = V698022 + 1. assign V472514 = V799403. assign V119699 = V298874. assign V338084 = V817027. assign V584242 = V532192 + 1. assign V788104 = V697706 - 1. assign V010080 = V898056 + 1. assign V797415 = V799403 + 1. assign V497963 = V687765 + 1. assign V298874 = V210663 + 1. assign V314339 = V826882 + 1. assign V369594 = V687765. assign V106462 = V386634 - 1. assign V898056 = V532192 - 1. assign V278850 = V314339 - 1. assign V078637 = V472514 + 1. assign V969943 = V187049. assign V091745 = V155854. assign V413486 = V023839. assign V546360 = V926779 + 1. assign V993043 = V338084. assign V959624 = V052836 + 1. assign V393106 = V886664 + 1. assign V984654 = V698022 + 1. assign V670855 = V858810 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V664783 = V404945 - 1. assign V345486 = V455806. assign V341893 = V106462 - 1. assign V556541 = V314339. assign V023603 = V316027 - 1. assign V796044 = V721969 - 1. assign V712798 = V310446 - 1. assign V255700 = V310446 + 1. assign V928786 = V232389 - 1. assign V825044 = V371893 + 1. assign V704873 = V277433 - 1. assign V095491 = V120553 - 1. assign V859595 = V277832 - 1. assign V637485 = V277433 - 1. assign V386634 = V314339 + 1. assign V817027 = V546360. assign V371018 = V210663 - 1. assign V826882 = V042564 + 1. assign V426602 = V298874 - 1. assign V813922 = V763340. assign V301204 = V131491 - 1. assign V697706 = V584242 + 1. assign V805737 = V943677 - 1. assign V885452 = V104594. assign V112782 = V155854 - 1. assign V288672 = V813922 - 1. assign V832474 = V858810 + 1. assign V218733 = V826882. assign V325276 = V108870 - 1. assign V307534 = V445757 + 1. assign V763340 = V584242 + 1. assign V333485 = V926779 + 1. assign V805511 = V858810 + 1. assign V500513 = V724197 + 1. assign V688598 = V599795 - 1. assign V644876 = V277433 - 1. assign V096567 = V285575 + 1. assign V858810 = V607490 - 1. assign V697840 = V023839 + 1. assign V794812 = V805511. assign V467600 = V078637 + 1. assign V145859 = V788104 + 1. assign V333917 = V637485 + 1. assign V748649 = V532192 + 1. assign V541635 = V698022 - 1. assign V127814 = V371893. assign V446210 = V052836 + 1. assign V165841 = V108870 - 1. assign V791828 = V573984. assign V815858 = V042564 - 1. assign V661261 = V710254 + 1. assign V823967 = V797415 + 1. assign V476326 = V939774 + 1. assign V445757 = V472514 + 1. assign V736936 = V697706 - 1. assign V153842 = V341893 - 1. assign V926779 = V898056 + 1. assign V570495 = V187049. assign V210663 = V926779 - 1. assign V187750 = V205161 - 1. assign V354128 = V476380 + 1. assign V799403 = V573984. assign V648265 = V010080 - 1. assign V797109 = V557505 - 1. assign V367931 = V205161. assign V403079 = V091745. assign V104594 = V285575 - 1. assign V710254 = V369594 + 1. assign V098813 = V023839 + 1. assign V131491 = V298874 - 1. assign V154812 = V165841. assign V108870 = V445757. assign V059780 = V165841. assign V769033 = V805737 - 1. assign V707797 = V285575 + 1. assign V724197 = V926779 + 1. assign V573984 = V898056 - 1. assign V075804 = V248762. assign V232389 = V532192 - 1. assign V078903 = V165841 + 1. assign V698022 = V277433 + 1. assign V935416 = V472514 + 1. assign V341024 = V010080 - 1. assign V632074 = V799403 - 1. assign V047553 = V187049 + 1. assign V886664 = V445757. assign V074643 = V154812. assign V033469 = V059780. assign V607490 = V532192. assign V361821 = V178959. assign V943677 = V078903 + 1. assign V187049 = V254918 + 1. assign V843672 = V298874 + 1. assign V285575 = V799403 + 1. assign V345928 = V033469 + 1. assign V061892 = V546360 - 1. assign V211393 = V858810 + 1. assign V277832 = 1. assign V157425 = V632074 + 1. assign V283080 = V748649 + 1. assign V764129 = V254918 + 1. assign V052836 = V476380. assign V277433 = V573984 + 1. assign V476380 = V710254 - 1. assign V957696 = V939774 + 1. assign V248762 = V843672 - 1. assign V687765 = V317018 - 1. assign V853330 = V218733 - 1. assign V023839 = V799403. assign V317018 = V817027 - 1. assign V504571 = V943677. assign V717940 = V826882 - 1. assign V418564 = V926779. assign V310446 = V155854. assign V318170 = V210663 + 1. assign V599795 = V704873 + 1. assign V575407 = V260972. assign V794933 = V926779. assign V311657 = V232389. assign V099976 = V095491 + 1. assign V254918 = V234086 + 1. assign V166958 = V210663 - 1. assign V234086 = V607490. assign V097555 = V717940 + 1. assign V252047 = V371018 + 1. assign V316027 = V717940 + 1. assign V326947 = V288672. assign V042564 = V607490 + 1. assign V557505 = V426602 + 1. assign V371893 = V234086 + 1. assign V939774 = V813922. assign V230929 = V996556. assign V820482 = V546360. assign V181196 = V817027. assign V120553 = V091745 - 1. assign V178959 = V520635 - 1. assign V520635 = V698022 + 1. assign V205161 = V823967 - 1. assign V260972 = V317018 + 1. assign V455806 = V078903. assign V987343 = V010080 + 1. assign V929198 = V476326 - 1. assign V458455 = V788104. assign V721969 = V445757 + 1. assign V404945 = V721969 + 1. assign V996556 = V637485 - 1. assign V065005 = V748649. assign V155854 = V698022 + 1. assign V472514 = V799403. assign V119699 = V298874. assign V338084 = V817027. assign V584242 = V532192 + 1. assign V788104 = V697706 - 1. assign V010080 = V898056 + 1. assign V797415 = V799403 + 1. assign V497963 = V687765 + 1. assign V298874 = V210663 + 1. assign V314339 = V826882 + 1. assign V369594 = V687765. assign V106462 = V386634 - 1. assign V898056 = V532192 - 1. assign V278850 = V314339 - 1. assign V078637 = V472514 + 1. assign V969943 = V187049. assign V091745 = V155854. assign V413486 = V023839. assign V546360 = V926779 + 1. assign V993043 = V338084. assign V959624 = V052836 + 1. assign V393106 = V886664 + 1. assign V984654 = V698022 + 1. assign V670855 = V858810 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV277832 = 1;\n\nFrom these direct assignment(s), we have: \nV859595 = V277832 - 1 = 1 - 1 =0;\nNo other variables can be derived from V859595;\nNo other variables can be derived from V277832;\n\nNow we have done all the calculations. Derived variables are:\nV277832 = 1;\nV859595 = 0;\n\nNow we have finished this problem. ANSWER:\nV859595\n", "role": "assistant" } ]

[ "V868681" ]

[ { "content": "<context>\nassign V068440 = V981081 + 1. assign V240804 = V539686 - 1. assign V482763 = V803940 + 1. assign V594033 = V962337 - 1. assign V318406 = V679523 - 1. assign V123656 = V594033. assign V041679 = V003800. assign V629261 = V359377 - 1. assign V832288 = V118659 - 1. assign V137158 = V068440. assign V206750 = V673793 + 1. assign V640673 = V455387 - 1. assign V553663 = V350589. assign V141195 = V500163. assign V381500 = V824856. assign V108478 = V996951 + 1. assign V656717 = V141195. assign V008494 = V190510 - 1. assign V715872 = V441863 - 1. assign V187114 = V008494 - 1. assign V232585 = V793598. assign V367335 = V041679. assign V766697 = V287424 + 1. assign V059464 = V831979 + 1. assign V342247 = V746616 + 1. assign V244676 = V805203. assign V241485 = V831979 + 1. assign V481746 = V981081. assign V003800 = V929662. assign V368178 = 2. assign V154768 = V766697 + 1. assign V539686 = V652651. assign V153397 = V805203. assign V679523 = V190510 + 1. assign V724160 = V657029. assign V981081 = V118659 + 1. assign V735263 = V264109. assign V959635 = V673791. assign V778926 = V020352. assign V374610 = V803940 + 1. assign V663156 = V118659. assign V557745 = V929662. assign V652651 = V902850 - 1. assign V889993 = V083860 - 1. assign V296021 = V663156 + 1. assign V447790 = V187114 + 1. assign V242020 = V172011. assign V500163 = V929662. assign V942047 = V640673. assign V383498 = V996951. assign V284766 = V629261 + 1. assign V020352 = V083860 + 1. assign V102680 = V274193 + 1. assign V872885 = V831979 + 1. assign V952337 = V715872. assign V956379 = V962337 + 1. assign V962337 = V118659. assign V010877 = V296021 - 1. assign V279460 = V004962 - 1. assign V065323 = V831979 + 1. assign V156185 = V455387 + 1. assign V583423 = V244676 - 1. assign V460789 = V998352 - 1. assign V872620 = V460973 + 1. assign V337787 = V359377. assign V673793 = V679523 - 1. assign V396173 = V797794. assign V341004 = V792704 + 1. assign V970766 = V187114 + 1. assign V566573 = V803940 - 1. assign V083860 = V242020. assign V749327 = V083860 + 1. assign V361935 = V444191 - 1. assign V912255 = V641972 - 1. assign V455387 = V805203. assign V657819 = V781617 - 1. assign V803940 = V809229. assign V996951 = V170069 - 1. assign V033543 = V190510 - 1. assign V793598 = V929662 + 1. assign V829574 = V929662. assign V642246 = V679523 + 1. assign V176130 = V746616. assign V201585 = V242020 + 1. assign V307613 = V831979 - 1. assign V279509 = V822577 - 1. assign V996320 = V185612 + 1. assign V503824 = V311385. assign V475514 = V307613. assign V781617 = V829574 + 1. assign V444191 = V821049 - 1. assign V057598 = V411709 + 1. assign V998352 = V781617 + 1. assign V698475 = V137158. assign V060887 = V381500 - 1. assign V809229 = V805203. assign V822577 = V359377 - 1. assign V350589 = V287424. assign V059605 = V327872. assign V939531 = V981081 - 1. assign V639383 = V004962 + 1. assign V004962 = V359377 - 1. assign V419760 = V296021. assign V970447 = V206750 - 1. assign V228012 = V008494 + 1. assign V831979 = V539102. assign V902850 = V228012 - 1. assign V290770 = V641972 + 1. assign V193098 = V743293 + 1. assign V034782 = V244676. assign V929662 = V809229. assign V311385 = V178692 - 1. assign V743293 = V172011 - 1. assign V890358 = V996951 - 1. assign V182273 = V642246 - 1. assign V208972 = V367335 + 1. assign V629215 = V832288 + 1. assign V388000 = V307613. assign V468216 = V942047. assign V797794 = V455387. assign V673791 = V566573. assign V824856 = V640673 - 1. assign V657029 = V897416 + 1. assign V428392 = V008494 + 1. assign V274193 = V201585. assign V359377 = V170069. assign V295353 = V341004. assign V821049 = V556912 - 1. assign V369743 = V455387 + 1. assign V671754 = V793598. assign V539102 = V172011 + 1. assign V167217 = V803940 - 1. assign V264109 = V781617 - 1. assign V055533 = V803940 + 1. assign V556912 = V153397. assign V792704 = V141195. assign V641972 = V929662 + 1. assign V993598 = V153397 + 1. assign V185612 = V743293 - 1. assign V190510 = V003800. assign V172011 = V805203 - 1. assign V066044 = V033543 + 1. assign V686990 = V663156. assign V959862 = V539102 - 1. assign V722401 = V190510 + 1. assign V218239 = V383498 + 1. assign V178692 = V241485 - 1. assign V287424 = V722401 + 1. assign V344652 = V068440 - 1. assign V460973 = V264109 - 1. assign V525580 = V583423 - 1. assign V170069 = V539102 + 1. assign V614861 = V809229. assign V117583 = V008494. assign V234735 = V556912. assign V411709 = V539102 + 1. assign V897416 = V307613 + 1. assign V320692 = V809229. assign V449169 = V962337 - 1. assign V118659 = V793598 + 1. assign V746616 = V041679 + 1. assign V185284 = V320692 + 1. assign V441863 = V241485 + 1. assign V462519 = V083860 - 1. assign V868971 = V320692 + 1. assign V868681 = V368178 + 1. assign V620980 = V244676. assign V103717 = V793598 - 1. assign V353734 = V066044. assign V327872 = V912255 - 1. assign V080473 = V539102. assign V597616 = V287424.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V068440 = V981081 + 1. assign V240804 = V539686 - 1. assign V482763 = V803940 + 1. assign V594033 = V962337 - 1. assign V318406 = V679523 - 1. assign V123656 = V594033. assign V041679 = V003800. assign V629261 = V359377 - 1. assign V832288 = V118659 - 1. assign V137158 = V068440. assign V206750 = V673793 + 1. assign V640673 = V455387 - 1. assign V553663 = V350589. assign V141195 = V500163. assign V381500 = V824856. assign V108478 = V996951 + 1. assign V656717 = V141195. assign V008494 = V190510 - 1. assign V715872 = V441863 - 1. assign V187114 = V008494 - 1. assign V232585 = V793598. assign V367335 = V041679. assign V766697 = V287424 + 1. assign V059464 = V831979 + 1. assign V342247 = V746616 + 1. assign V244676 = V805203. assign V241485 = V831979 + 1. assign V481746 = V981081. assign V003800 = V929662. assign V368178 = 2. assign V154768 = V766697 + 1. assign V539686 = V652651. assign V153397 = V805203. assign V679523 = V190510 + 1. assign V724160 = V657029. assign V981081 = V118659 + 1. assign V735263 = V264109. assign V959635 = V673791. assign V778926 = V020352. assign V374610 = V803940 + 1. assign V663156 = V118659. assign V557745 = V929662. assign V652651 = V902850 - 1. assign V889993 = V083860 - 1. assign V296021 = V663156 + 1. assign V447790 = V187114 + 1. assign V242020 = V172011. assign V500163 = V929662. assign V942047 = V640673. assign V383498 = V996951. assign V284766 = V629261 + 1. assign V020352 = V083860 + 1. assign V102680 = V274193 + 1. assign V872885 = V831979 + 1. assign V952337 = V715872. assign V956379 = V962337 + 1. assign V962337 = V118659. assign V010877 = V296021 - 1. assign V279460 = V004962 - 1. assign V065323 = V831979 + 1. assign V156185 = V455387 + 1. assign V583423 = V244676 - 1. assign V460789 = V998352 - 1. assign V872620 = V460973 + 1. assign V337787 = V359377. assign V673793 = V679523 - 1. assign V396173 = V797794. assign V341004 = V792704 + 1. assign V970766 = V187114 + 1. assign V566573 = V803940 - 1. assign V083860 = V242020. assign V749327 = V083860 + 1. assign V361935 = V444191 - 1. assign V912255 = V641972 - 1. assign V455387 = V805203. assign V657819 = V781617 - 1. assign V803940 = V809229. assign V996951 = V170069 - 1. assign V033543 = V190510 - 1. assign V793598 = V929662 + 1. assign V829574 = V929662. assign V642246 = V679523 + 1. assign V176130 = V746616. assign V201585 = V242020 + 1. assign V307613 = V831979 - 1. assign V279509 = V822577 - 1. assign V996320 = V185612 + 1. assign V503824 = V311385. assign V475514 = V307613. assign V781617 = V829574 + 1. assign V444191 = V821049 - 1. assign V057598 = V411709 + 1. assign V998352 = V781617 + 1. assign V698475 = V137158. assign V060887 = V381500 - 1. assign V809229 = V805203. assign V822577 = V359377 - 1. assign V350589 = V287424. assign V059605 = V327872. assign V939531 = V981081 - 1. assign V639383 = V004962 + 1. assign V004962 = V359377 - 1. assign V419760 = V296021. assign V970447 = V206750 - 1. assign V228012 = V008494 + 1. assign V831979 = V539102. assign V902850 = V228012 - 1. assign V290770 = V641972 + 1. assign V193098 = V743293 + 1. assign V034782 = V244676. assign V929662 = V809229. assign V311385 = V178692 - 1. assign V743293 = V172011 - 1. assign V890358 = V996951 - 1. assign V182273 = V642246 - 1. assign V208972 = V367335 + 1. assign V629215 = V832288 + 1. assign V388000 = V307613. assign V468216 = V942047. assign V797794 = V455387. assign V673791 = V566573. assign V824856 = V640673 - 1. assign V657029 = V897416 + 1. assign V428392 = V008494 + 1. assign V274193 = V201585. assign V359377 = V170069. assign V295353 = V341004. assign V821049 = V556912 - 1. assign V369743 = V455387 + 1. assign V671754 = V793598. assign V539102 = V172011 + 1. assign V167217 = V803940 - 1. assign V264109 = V781617 - 1. assign V055533 = V803940 + 1. assign V556912 = V153397. assign V792704 = V141195. assign V641972 = V929662 + 1. assign V993598 = V153397 + 1. assign V185612 = V743293 - 1. assign V190510 = V003800. assign V172011 = V805203 - 1. assign V066044 = V033543 + 1. assign V686990 = V663156. assign V959862 = V539102 - 1. assign V722401 = V190510 + 1. assign V218239 = V383498 + 1. assign V178692 = V241485 - 1. assign V287424 = V722401 + 1. assign V344652 = V068440 - 1. assign V460973 = V264109 - 1. assign V525580 = V583423 - 1. assign V170069 = V539102 + 1. assign V614861 = V809229. assign V117583 = V008494. assign V234735 = V556912. assign V411709 = V539102 + 1. assign V897416 = V307613 + 1. assign V320692 = V809229. assign V449169 = V962337 - 1. assign V118659 = V793598 + 1. assign V746616 = V041679 + 1. assign V185284 = V320692 + 1. assign V441863 = V241485 + 1. assign V462519 = V083860 - 1. assign V868971 = V320692 + 1. assign V868681 = V368178 + 1. assign V620980 = V244676. assign V103717 = V793598 - 1. assign V353734 = V066044. assign V327872 = V912255 - 1. assign V080473 = V539102. assign V597616 = V287424.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV368178 = 2;\n\nFrom these direct assignment(s), we have: \nV868681 = V368178 + 1 = 2 + 1 =3;\nNo other variables can be derived from V868681;\nNo other variables can be derived from V368178;\n\nNow we have done all the calculations. Derived variables are:\nV368178 = 2;\nV868681 = 3;\n\nNow we have finished this problem. ANSWER:\nV868681\n", "role": "assistant" } ]

[ "V876813", "V351093" ]

[ { "content": "<context>\nassign V394306 = V388212 - 1. assign V871702 = V569656. assign V218883 = V186458. assign V694383 = V026704 + 1. assign V770697 = V102235 + 1. assign V527848 = V394306 - 1. assign V951887 = V190521 - 1. assign V440370 = V967649. assign V555596 = V071021 - 1. assign V777720 = V555596 - 1. assign V009526 = V452571 + 1. assign V439474 = V210161 + 1. assign V896145 = V388212. assign V003307 = V631199. assign V930245 = V190521 - 1. assign V814791 = V284829 + 1. assign V978767 = V071021 - 1. assign V683883 = V285340. assign V982806 = V497033 - 1. assign V572133 = V118712. assign V362329 = V394306 - 1. assign V872849 = V394306 + 1. assign V112401 = V139997 + 1. assign V219992 = V481802 - 1. assign V384980 = V053718. assign V245747 = V771398 + 1. assign V497033 = V555596 + 1. assign V905213 = V066049. assign V571979 = V307088 - 1. assign V799269 = V118712 + 1. assign V625002 = V784659 + 1. assign V118712 = V488293 + 1. assign V142823 = V218883 - 1. assign V234102 = V712577 - 1. assign V423262 = V285340 + 1. assign V104745 = V088713 + 1. assign V736900 = V030954 + 1. assign V166494 = V883434. assign V326942 = V375792. assign V149840 = V761944. assign V088713 = V873110. assign V112742 = V467956 + 1. assign V375792 = V613251 + 1. assign V187435 = V197015 - 1. assign V500993 = V088713 + 1. assign V284829 = V930245 - 1. assign V743291 = V738233 + 1. assign V132266 = V285340. assign V307088 = V555596. assign V518725 = V951887 - 1. assign V883434 = V193374. assign V190521 = V088713 + 1. assign V388212 = V631199 + 1. assign V688619 = V930943 + 1. assign V784659 = V711585 - 1. assign V117974 = V569656 - 1. assign V293882 = V375792 + 1. assign V631199 = V071021. assign V463504 = V285340 - 1. assign V370032 = V088713 + 1. assign V615700 = V104745 - 1. assign V085043 = V388212. assign V215946 = V930245. assign V301044 = V838825 - 1. assign V058422 = V555596 + 1. assign V370026 = V218883. assign V351093 = V876813. assign V885447 = V102235 - 1. assign V298649 = V190521 + 1. assign V466854 = V218883. assign V712577 = V761944 - 1. assign V467956 = V661296 - 1. assign V160283 = V046443 - 1. assign V066049 = V193374 + 1. assign V661296 = V370032. assign V521918 = V496072 + 1. assign V552617 = V638959 + 1. assign V351194 = V681704 - 1. assign V186458 = V071021. assign V197015 = V071021 - 1. assign V751985 = V028684. assign V214029 = V118712 - 1. assign V873110 = V883434 - 1. assign V769393 = V937972 + 1. assign V452571 = V978767 + 1. assign V139997 = V681704 - 1. assign V909492 = V466854 + 1. assign V679786 = V951887 + 1. assign V053718 = V291005 - 1. assign V456331 = V909492. assign V613251 = V608183. assign V653450 = V896145. assign V026704 = V197015. assign V735058 = V871702 - 1. assign V140594 = V142318 - 1. assign V258480 = V951887. assign V347623 = V388212 + 1. assign V210161 = V873110 + 1. assign V644820 = V593872 - 1. assign V799228 = V046443 - 1. assign V031312 = V088713 + 1. assign V569656 = V197015. assign V738233 = V224350 + 1. assign V267493 = V572133 - 1. assign V113794 = V694383 + 1. assign V487596 = V782684 - 1. assign V593872 = V487596. assign V259203 = V267493. assign V856298 = V991947. assign V046443 = V709184. assign V068774 = V631199. assign V364586 = V467956 + 1. assign V967649 = V488293. assign V325614 = V370032 + 1. assign V991947 = V777720 + 1. assign V681704 = V370032 + 1. assign V074919 = V683883 - 1. assign V709184 = V293882 - 1. assign V876813 = 3. assign V711585 = V193374 + 1. assign V102235 = V088713. assign V028684 = V784659 - 1. assign V782684 = V388212 - 1. assign V285340 = V197015 - 1. assign V212076 = V885447 - 1. assign V244551 = V661296 + 1. assign V447893 = V375792 + 1. assign V608183 = V761944 - 1. assign V638959 = V694383 + 1. assign V030954 = V832059 + 1. assign V937972 = V149973 - 1. assign V791318 = V518725 - 1. assign V448708 = V613251 - 1. assign V871685 = V202249 + 1. assign V488293 = V388212. assign V595615 = V218883. assign V224350 = V207610. assign V149973 = V071021 + 1. assign V829225 = V394306. assign V838825 = V118712 - 1. assign V832059 = V467956 - 1. assign V668502 = V711585 - 1. assign V847099 = V738233 - 1. assign V142318 = V263782 + 1. assign V207610 = V085043. assign V481802 = V224350 + 1. assign V579185 = V896145 + 1. assign V771398 = V838825 + 1. assign V202249 = V053718. assign V692614 = V071021 - 1. assign V453939 = V053718 + 1. assign V480456 = V595615. assign V250252 = V896145. assign V761944 = V370032 + 1. assign V193374 = V631199. assign V451514 = V555596. assign V298073 = V071021 - 1. assign V496072 = V488293 + 1. assign V602304 = V569656. assign V930943 = V301044 - 1. assign V242337 = V071021. assign V783717 = V736900 - 1. assign V263782 = V896145 - 1. assign V136518 = V351194 + 1. assign V853672 = V451514 + 1. assign V112655 = V307088. assign V352390 = V930943 - 1. assign V902096 = V488293 + 1. assign V004905 = V488293 + 1. assign V318840 = V388212. assign V291005 = V085043 - 1. assign V735128 = V991947 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V394306 = V388212 - 1. assign V871702 = V569656. assign V218883 = V186458. assign V694383 = V026704 + 1. assign V770697 = V102235 + 1. assign V527848 = V394306 - 1. assign V951887 = V190521 - 1. assign V440370 = V967649. assign V555596 = V071021 - 1. assign V777720 = V555596 - 1. assign V009526 = V452571 + 1. assign V439474 = V210161 + 1. assign V896145 = V388212. assign V003307 = V631199. assign V930245 = V190521 - 1. assign V814791 = V284829 + 1. assign V978767 = V071021 - 1. assign V683883 = V285340. assign V982806 = V497033 - 1. assign V572133 = V118712. assign V362329 = V394306 - 1. assign V872849 = V394306 + 1. assign V112401 = V139997 + 1. assign V219992 = V481802 - 1. assign V384980 = V053718. assign V245747 = V771398 + 1. assign V497033 = V555596 + 1. assign V905213 = V066049. assign V571979 = V307088 - 1. assign V799269 = V118712 + 1. assign V625002 = V784659 + 1. assign V118712 = V488293 + 1. assign V142823 = V218883 - 1. assign V234102 = V712577 - 1. assign V423262 = V285340 + 1. assign V104745 = V088713 + 1. assign V736900 = V030954 + 1. assign V166494 = V883434. assign V326942 = V375792. assign V149840 = V761944. assign V088713 = V873110. assign V112742 = V467956 + 1. assign V375792 = V613251 + 1. assign V187435 = V197015 - 1. assign V500993 = V088713 + 1. assign V284829 = V930245 - 1. assign V743291 = V738233 + 1. assign V132266 = V285340. assign V307088 = V555596. assign V518725 = V951887 - 1. assign V883434 = V193374. assign V190521 = V088713 + 1. assign V388212 = V631199 + 1. assign V688619 = V930943 + 1. assign V784659 = V711585 - 1. assign V117974 = V569656 - 1. assign V293882 = V375792 + 1. assign V631199 = V071021. assign V463504 = V285340 - 1. assign V370032 = V088713 + 1. assign V615700 = V104745 - 1. assign V085043 = V388212. assign V215946 = V930245. assign V301044 = V838825 - 1. assign V058422 = V555596 + 1. assign V370026 = V218883. assign V351093 = V876813. assign V885447 = V102235 - 1. assign V298649 = V190521 + 1. assign V466854 = V218883. assign V712577 = V761944 - 1. assign V467956 = V661296 - 1. assign V160283 = V046443 - 1. assign V066049 = V193374 + 1. assign V661296 = V370032. assign V521918 = V496072 + 1. assign V552617 = V638959 + 1. assign V351194 = V681704 - 1. assign V186458 = V071021. assign V197015 = V071021 - 1. assign V751985 = V028684. assign V214029 = V118712 - 1. assign V873110 = V883434 - 1. assign V769393 = V937972 + 1. assign V452571 = V978767 + 1. assign V139997 = V681704 - 1. assign V909492 = V466854 + 1. assign V679786 = V951887 + 1. assign V053718 = V291005 - 1. assign V456331 = V909492. assign V613251 = V608183. assign V653450 = V896145. assign V026704 = V197015. assign V735058 = V871702 - 1. assign V140594 = V142318 - 1. assign V258480 = V951887. assign V347623 = V388212 + 1. assign V210161 = V873110 + 1. assign V644820 = V593872 - 1. assign V799228 = V046443 - 1. assign V031312 = V088713 + 1. assign V569656 = V197015. assign V738233 = V224350 + 1. assign V267493 = V572133 - 1. assign V113794 = V694383 + 1. assign V487596 = V782684 - 1. assign V593872 = V487596. assign V259203 = V267493. assign V856298 = V991947. assign V046443 = V709184. assign V068774 = V631199. assign V364586 = V467956 + 1. assign V967649 = V488293. assign V325614 = V370032 + 1. assign V991947 = V777720 + 1. assign V681704 = V370032 + 1. assign V074919 = V683883 - 1. assign V709184 = V293882 - 1. assign V876813 = 3. assign V711585 = V193374 + 1. assign V102235 = V088713. assign V028684 = V784659 - 1. assign V782684 = V388212 - 1. assign V285340 = V197015 - 1. assign V212076 = V885447 - 1. assign V244551 = V661296 + 1. assign V447893 = V375792 + 1. assign V608183 = V761944 - 1. assign V638959 = V694383 + 1. assign V030954 = V832059 + 1. assign V937972 = V149973 - 1. assign V791318 = V518725 - 1. assign V448708 = V613251 - 1. assign V871685 = V202249 + 1. assign V488293 = V388212. assign V595615 = V218883. assign V224350 = V207610. assign V149973 = V071021 + 1. assign V829225 = V394306. assign V838825 = V118712 - 1. assign V832059 = V467956 - 1. assign V668502 = V711585 - 1. assign V847099 = V738233 - 1. assign V142318 = V263782 + 1. assign V207610 = V085043. assign V481802 = V224350 + 1. assign V579185 = V896145 + 1. assign V771398 = V838825 + 1. assign V202249 = V053718. assign V692614 = V071021 - 1. assign V453939 = V053718 + 1. assign V480456 = V595615. assign V250252 = V896145. assign V761944 = V370032 + 1. assign V193374 = V631199. assign V451514 = V555596. assign V298073 = V071021 - 1. assign V496072 = V488293 + 1. assign V602304 = V569656. assign V930943 = V301044 - 1. assign V242337 = V071021. assign V783717 = V736900 - 1. assign V263782 = V896145 - 1. assign V136518 = V351194 + 1. assign V853672 = V451514 + 1. assign V112655 = V307088. assign V352390 = V930943 - 1. assign V902096 = V488293 + 1. assign V004905 = V488293 + 1. assign V318840 = V388212. assign V291005 = V085043 - 1. assign V735128 = V991947 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV876813 = 3;\n\nFrom these direct assignment(s), we have: \nV351093 = V876813 = 3;\nNo other variables can be derived from V351093;\nNo other variables can be derived from V876813;\n\nNow we have done all the calculations. Derived variables are:\nV876813 = 3;\nV351093 = 3;\n\nNow we have finished this problem. ANSWER:\nV876813, V351093\n", "role": "assistant" } ]

[ "V265932", "V115161" ]

[ { "content": "<context>\nassign V869758 = V587466 + 1. assign V754036 = V106217 - 1. assign V779020 = V070844 - 1. assign V505011 = V265442 + 1. assign V861977 = V070844 - 1. assign V664273 = V070844 + 1. assign V502777 = V795749 + 1. assign V795554 = V007310 + 1. assign V719755 = V544902 - 1. assign V779806 = V075890 + 1. assign V624428 = V070844 + 1. assign V288963 = V911779 + 1. assign V774198 = V312595 + 1. assign V858858 = V337097 - 1. assign V170723 = V865090 + 1. assign V306416 = V231418 + 1. assign V220503 = V544902. assign V916367 = V403399 + 1. assign V431680 = V719755 - 1. assign V403399 = V544902. assign V789797 = V248572. assign V151599 = V249821 - 1. assign V729902 = V792767. assign V299648 = V777106. assign V265932 = 6. assign V211390 = V795623 + 1. assign V744027 = V399159. assign V748122 = V779020 + 1. assign V007310 = V100312 + 1. assign V691882 = V248572. assign V197080 = V778316 + 1. assign V582836 = V587466 - 1. assign V755050 = V860314 - 1. assign V531725 = V944090. assign V216141 = V779020 - 1. assign V957241 = V710321 + 1. assign V975148 = V795749. assign V544902 = V936918 - 1. assign V285532 = V949855. assign V998853 = V220503 - 1. assign V052726 = V092939 - 1. assign V580894 = V860314. assign V633427 = V171268. assign V252117 = V173676 - 1. assign V410254 = V075890. assign V981403 = V663732 - 1. assign V858260 = V587466 + 1. assign V589059 = V922252 - 1. assign V975177 = V106217. assign V577501 = V691882. assign V584760 = V403399 + 1. assign V795749 = V019194 + 1. assign V022580 = V100312 - 1. assign V332441 = V075890 - 1. assign V402949 = V577501 + 1. assign V749557 = V861977. assign V399159 = V448205 + 1. assign V485822 = V535703 - 1. assign V165353 = V981926. assign V016268 = V252117 - 1. assign V000534 = V949855 + 1. assign V598011 = V206605 - 1. assign V262512 = V663732. assign V141408 = V934629 + 1. assign V248572 = V231418 + 1. assign V337097 = V589059. assign V712947 = V795623 + 1. assign V792767 = V592601 - 1. assign V249821 = V728537. assign V407148 = V795623 - 1. assign V844157 = V749557 + 1. assign V922982 = V220503 + 1. assign V115161 = V265932. assign V206605 = V712947 - 1. assign V133629 = V710321. assign V279640 = V252117 - 1. assign V196238 = V252057 + 1. assign V234303 = V926824. assign V592601 = V712947 - 1. assign V448205 = V728537 - 1. assign V539411 = V639780. assign V987694 = V936918 + 1. assign V795623 = V710321. assign V444761 = V220503 - 1. assign V169571 = V580894. assign V937253 = V252057 + 1. assign V346746 = V070844. assign V709336 = V957241 - 1. assign V621520 = V728537 + 1. assign V064621 = V407148 + 1. assign V252057 = V584760. assign V312595 = V728537 + 1. assign V514597 = V505011. assign V876053 = V280481. assign V605531 = V987598. assign V192594 = V778316 - 1. assign V586308 = V987694 - 1. assign V991944 = V795749. assign V173676 = V926824. assign V280481 = V865090 - 1. assign V860841 = V709336 - 1. assign V987598 = V779806 - 1. assign V926824 = V170723. assign V860314 = V407148 + 1. assign V117996 = V876053 + 1. assign V942407 = V795623 - 1. assign V881580 = V531725 + 1. assign V237869 = V280481 - 1. assign V075890 = V544902. assign V207506 = V792767. assign V679062 = V981403 + 1. assign V715743 = V728537. assign V019194 = V936918 + 1. assign V797270 = V795749 - 1. assign V216256 = V981403 + 1. assign V535703 = V879697 - 1. assign V235510 = V265442 + 1. assign V587466 = V981403 - 1. assign V219840 = V242231 - 1. assign V298133 = V797270 + 1. assign V231418 = V444761 - 1. assign V479800 = V934629 + 1. assign V820059 = V169571 + 1. assign V183628 = V795749. assign V922252 = V235510. assign V062613 = V171268. assign V975225 = V949855. assign V171268 = V407148. assign V757913 = V532940. assign V663732 = V280481. assign V106217 = V587466 - 1. assign V981926 = V544902 - 1. assign V117857 = V171268 - 1. assign V364839 = V220503 + 1. assign V444494 = V621520 + 1. assign V332994 = V070844 + 1. assign V100312 = V861977. assign V530208 = V861977 - 1. assign V418280 = V332994. assign V303825 = V710321 + 1. assign V744566 = V418280. assign V208024 = V183628 - 1. assign V778316 = V795623. assign V070844 = V220503 + 1. assign V911779 = V298133 - 1. assign V284010 = V346746 - 1. assign V944090 = V663732 + 1. assign V532940 = V936918 + 1. assign V755422 = V922982. assign V092939 = V879697 + 1. assign V617489 = V865090. assign V494569 = V485822 - 1. assign V265442 = V280481. assign V870251 = V975225. assign V710321 = V865090 + 1. assign V639780 = V407148 + 1. assign V242231 = V403399. assign V456015 = V587466. assign V728537 = V936918 - 1. assign V478382 = V589059 - 1. assign V178270 = V252057 - 1. assign V879697 = V531725. assign V220179 = V117857 - 1. assign V777106 = V987598. assign V934629 = V252057 - 1. assign V135984 = V916367 + 1. assign V633462 = V364839. assign V949855 = V171268. assign V141461 = V664273 - 1. assign V148270 = V249821 + 1. assign V115204 = V691882 + 1. assign V936918 = V865090.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V869758 = V587466 + 1. assign V754036 = V106217 - 1. assign V779020 = V070844 - 1. assign V505011 = V265442 + 1. assign V861977 = V070844 - 1. assign V664273 = V070844 + 1. assign V502777 = V795749 + 1. assign V795554 = V007310 + 1. assign V719755 = V544902 - 1. assign V779806 = V075890 + 1. assign V624428 = V070844 + 1. assign V288963 = V911779 + 1. assign V774198 = V312595 + 1. assign V858858 = V337097 - 1. assign V170723 = V865090 + 1. assign V306416 = V231418 + 1. assign V220503 = V544902. assign V916367 = V403399 + 1. assign V431680 = V719755 - 1. assign V403399 = V544902. assign V789797 = V248572. assign V151599 = V249821 - 1. assign V729902 = V792767. assign V299648 = V777106. assign V265932 = 6. assign V211390 = V795623 + 1. assign V744027 = V399159. assign V748122 = V779020 + 1. assign V007310 = V100312 + 1. assign V691882 = V248572. assign V197080 = V778316 + 1. assign V582836 = V587466 - 1. assign V755050 = V860314 - 1. assign V531725 = V944090. assign V216141 = V779020 - 1. assign V957241 = V710321 + 1. assign V975148 = V795749. assign V544902 = V936918 - 1. assign V285532 = V949855. assign V998853 = V220503 - 1. assign V052726 = V092939 - 1. assign V580894 = V860314. assign V633427 = V171268. assign V252117 = V173676 - 1. assign V410254 = V075890. assign V981403 = V663732 - 1. assign V858260 = V587466 + 1. assign V589059 = V922252 - 1. assign V975177 = V106217. assign V577501 = V691882. assign V584760 = V403399 + 1. assign V795749 = V019194 + 1. assign V022580 = V100312 - 1. assign V332441 = V075890 - 1. assign V402949 = V577501 + 1. assign V749557 = V861977. assign V399159 = V448205 + 1. assign V485822 = V535703 - 1. assign V165353 = V981926. assign V016268 = V252117 - 1. assign V000534 = V949855 + 1. assign V598011 = V206605 - 1. assign V262512 = V663732. assign V141408 = V934629 + 1. assign V248572 = V231418 + 1. assign V337097 = V589059. assign V712947 = V795623 + 1. assign V792767 = V592601 - 1. assign V249821 = V728537. assign V407148 = V795623 - 1. assign V844157 = V749557 + 1. assign V922982 = V220503 + 1. assign V115161 = V265932. assign V206605 = V712947 - 1. assign V133629 = V710321. assign V279640 = V252117 - 1. assign V196238 = V252057 + 1. assign V234303 = V926824. assign V592601 = V712947 - 1. assign V448205 = V728537 - 1. assign V539411 = V639780. assign V987694 = V936918 + 1. assign V795623 = V710321. assign V444761 = V220503 - 1. assign V169571 = V580894. assign V937253 = V252057 + 1. assign V346746 = V070844. assign V709336 = V957241 - 1. assign V621520 = V728537 + 1. assign V064621 = V407148 + 1. assign V252057 = V584760. assign V312595 = V728537 + 1. assign V514597 = V505011. assign V876053 = V280481. assign V605531 = V987598. assign V192594 = V778316 - 1. assign V586308 = V987694 - 1. assign V991944 = V795749. assign V173676 = V926824. assign V280481 = V865090 - 1. assign V860841 = V709336 - 1. assign V987598 = V779806 - 1. assign V926824 = V170723. assign V860314 = V407148 + 1. assign V117996 = V876053 + 1. assign V942407 = V795623 - 1. assign V881580 = V531725 + 1. assign V237869 = V280481 - 1. assign V075890 = V544902. assign V207506 = V792767. assign V679062 = V981403 + 1. assign V715743 = V728537. assign V019194 = V936918 + 1. assign V797270 = V795749 - 1. assign V216256 = V981403 + 1. assign V535703 = V879697 - 1. assign V235510 = V265442 + 1. assign V587466 = V981403 - 1. assign V219840 = V242231 - 1. assign V298133 = V797270 + 1. assign V231418 = V444761 - 1. assign V479800 = V934629 + 1. assign V820059 = V169571 + 1. assign V183628 = V795749. assign V922252 = V235510. assign V062613 = V171268. assign V975225 = V949855. assign V171268 = V407148. assign V757913 = V532940. assign V663732 = V280481. assign V106217 = V587466 - 1. assign V981926 = V544902 - 1. assign V117857 = V171268 - 1. assign V364839 = V220503 + 1. assign V444494 = V621520 + 1. assign V332994 = V070844 + 1. assign V100312 = V861977. assign V530208 = V861977 - 1. assign V418280 = V332994. assign V303825 = V710321 + 1. assign V744566 = V418280. assign V208024 = V183628 - 1. assign V778316 = V795623. assign V070844 = V220503 + 1. assign V911779 = V298133 - 1. assign V284010 = V346746 - 1. assign V944090 = V663732 + 1. assign V532940 = V936918 + 1. assign V755422 = V922982. assign V092939 = V879697 + 1. assign V617489 = V865090. assign V494569 = V485822 - 1. assign V265442 = V280481. assign V870251 = V975225. assign V710321 = V865090 + 1. assign V639780 = V407148 + 1. assign V242231 = V403399. assign V456015 = V587466. assign V728537 = V936918 - 1. assign V478382 = V589059 - 1. assign V178270 = V252057 - 1. assign V879697 = V531725. assign V220179 = V117857 - 1. assign V777106 = V987598. assign V934629 = V252057 - 1. assign V135984 = V916367 + 1. assign V633462 = V364839. assign V949855 = V171268. assign V141461 = V664273 - 1. assign V148270 = V249821 + 1. assign V115204 = V691882 + 1. assign V936918 = V865090.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV265932 = 6;\n\nFrom these direct assignment(s), we have: \nV115161 = V265932 = 6;\nNo other variables can be derived from V115161;\nNo other variables can be derived from V265932;\n\nNow we have done all the calculations. Derived variables are:\nV265932 = 6;\nV115161 = 6;\n\nNow we have finished this problem. ANSWER:\nV265932, V115161\n", "role": "assistant" } ]

[ "V906969" ]

[ { "content": "<context>\nassign V421573 = V839080 - 1. assign V919877 = V739257 + 1. assign V811464 = V329513 + 1. assign V598422 = V801447 - 1. assign V078449 = V043456. assign V253160 = V204270. assign V804668 = V266158. assign V021869 = V042978 + 1. assign V786219 = V245175. assign V426573 = V319637 + 1. assign V481968 = V106583 + 1. assign V487005 = V005795. assign V201874 = V559543 + 1. assign V328117 = V818316 + 1. assign V571032 = V818316 - 1. assign V266158 = V775864 - 1. assign V005795 = V871605 - 1. assign V106583 = V255758 + 1. assign V168043 = V079296 + 1. assign V176572 = V078449 - 1. assign V301382 = V465764 + 1. assign V114344 = V312762 - 1. assign V389060 = V689881 + 1. assign V497807 = V530705. assign V737705 = V740611 - 1. assign V156363 = V801447. assign V907969 = V328117 + 1. assign V977887 = V402002 - 1. assign V927642 = V753332 + 1. assign V617842 = V401888. assign V179280 = V042978. assign V689836 = V255758 - 1. assign V932895 = V619297. assign V801447 = V871605 + 1. assign V871605 = V839080 + 1. assign V532784 = V811464. assign V144642 = V216097. assign V000580 = V402002. assign V619297 = V413967 + 1. assign V405844 = V664951 - 1. assign V454088 = V488235. assign V949872 = V571032 - 1. assign V985950 = V949872 - 1. assign V753332 = V329513 - 1. assign V305852 = V871605. assign V182157 = V800636 + 1. assign V222337 = V191559. assign V413967 = V421573. assign V710414 = V941185 + 1. assign V364180 = V778591 - 1. assign V079296 = V839080 + 1. assign V999746 = V245175 + 1. assign V816048 = V664951 - 1. assign V584335 = V342816 - 1. assign V191559 = V818316 + 1. assign V417216 = V530705 - 1. assign V778591 = V421573 - 1. assign V277751 = V532784 - 1. assign V255758 = V789507. assign V819325 = V245175 - 1. assign V401888 = V927642. assign V329513 = V664951. assign V141615 = V977887 - 1. assign V687151 = V906969 + 1. assign V887700 = V898061. assign V249672 = V421573. assign V518822 = V488235. assign V399665 = V329513. assign V576045 = V839080. assign V950641 = V871605 - 1. assign V150445 = V006178 + 1. assign V584757 = V739257. assign V692201 = V598422. assign V984275 = V043456. assign V878290 = V567523 - 1. assign V538346 = V736474 - 1. assign V736474 = V332731. assign V631868 = V048901 - 1. assign V576607 = V222552 - 1. assign V402002 = V465764 - 1. assign V146767 = V068617. assign V416030 = V887700. assign V228183 = V536921 + 1. assign V744790 = V887700. assign V223362 = V465764 - 1. assign V148669 = V006178 - 1. assign V154922 = V941185. assign V499023 = V584757. assign V743255 = V941185 + 1. assign V199009 = V950641 - 1. assign V203382 = V039202. assign V520909 = V255758. assign V972184 = V454088 - 1. assign V687911 = V576045. assign V413129 = V402002. assign V488235 = V871605 - 1. assign V679375 = V248372 + 1. assign V775864 = V664951 + 1. assign V342816 = V739257 - 1. assign V906969 = 5. assign V039202 = V775864 - 1. assign V042978 = V778591 + 1. assign V739257 = V530705 - 1. assign V398439 = V000580 + 1. assign V800636 = V673376. assign V898061 = V950641. assign V332731 = V144642 - 1. assign V727649 = V188519 - 1. assign V573126 = V599933. assign V839080 = V465764 - 1. assign V561941 = V312762 + 1. assign V272617 = V800636 + 1. assign V245175 = V402002. assign V465764 = V664951 - 1. assign V689881 = V617842 + 1. assign V987952 = V737705. assign V043456 = V329513 - 1. assign V375588 = V272617 - 1. assign V309628 = V454088 - 1. assign V832792 = V532784 - 1. assign V591735 = V819325 - 1. assign V914698 = V329513 + 1. assign V006178 = V421573. assign V789507 = V871605. assign V248372 = V413967. assign V918363 = V520909 + 1. assign V536921 = V743255. assign V640850 = V950641. assign V188519 = V792281. assign V216097 = V941185 - 1. assign V233684 = V342816 + 1. assign V673376 = V753332 + 1. assign V047079 = V737705 - 1. assign V171278 = V753332 - 1. assign V941284 = V571032 - 1. assign V275427 = V497807 + 1. assign V772756 = V042978 + 1. assign V941185 = V737705 + 1. assign V223718 = V972184. assign V500917 = V518822 - 1. assign V388245 = V332731 + 1. assign V095080 = V737705 + 1. assign V127607 = V743255. assign V631321 = V561941 + 1. assign V970612 = V984275 + 1. assign V740611 = V811464 - 1. assign V559543 = V204270 - 1. assign V846646 = V789507 + 1. assign V204270 = V039202 - 1. assign V222552 = V818316 + 1. assign V090644 = V156363 + 1. assign V530705 = V839080. assign V312762 = V255758 - 1. assign V708510 = V832792. assign V336711 = V249672 + 1. assign V978361 = V305852 - 1. assign V048901 = V887700 + 1. assign V507565 = V454088 - 1. assign V184965 = V689881 - 1. assign V476660 = V839080 + 1. assign V068617 = V312762. assign V319637 = V421573. assign V818316 = V753332 - 1. assign V771820 = V336711 + 1. assign V567523 = V532784. assign V619317 = V687911 + 1. assign V174734 = V878290 + 1. assign V535083 = V927642. assign V032289 = V567523 - 1. assign V599933 = V789507. assign V792281 = V775864 + 1. assign V713527 = V567523 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V421573 = V839080 - 1. assign V919877 = V739257 + 1. assign V811464 = V329513 + 1. assign V598422 = V801447 - 1. assign V078449 = V043456. assign V253160 = V204270. assign V804668 = V266158. assign V021869 = V042978 + 1. assign V786219 = V245175. assign V426573 = V319637 + 1. assign V481968 = V106583 + 1. assign V487005 = V005795. assign V201874 = V559543 + 1. assign V328117 = V818316 + 1. assign V571032 = V818316 - 1. assign V266158 = V775864 - 1. assign V005795 = V871605 - 1. assign V106583 = V255758 + 1. assign V168043 = V079296 + 1. assign V176572 = V078449 - 1. assign V301382 = V465764 + 1. assign V114344 = V312762 - 1. assign V389060 = V689881 + 1. assign V497807 = V530705. assign V737705 = V740611 - 1. assign V156363 = V801447. assign V907969 = V328117 + 1. assign V977887 = V402002 - 1. assign V927642 = V753332 + 1. assign V617842 = V401888. assign V179280 = V042978. assign V689836 = V255758 - 1. assign V932895 = V619297. assign V801447 = V871605 + 1. assign V871605 = V839080 + 1. assign V532784 = V811464. assign V144642 = V216097. assign V000580 = V402002. assign V619297 = V413967 + 1. assign V405844 = V664951 - 1. assign V454088 = V488235. assign V949872 = V571032 - 1. assign V985950 = V949872 - 1. assign V753332 = V329513 - 1. assign V305852 = V871605. assign V182157 = V800636 + 1. assign V222337 = V191559. assign V413967 = V421573. assign V710414 = V941185 + 1. assign V364180 = V778591 - 1. assign V079296 = V839080 + 1. assign V999746 = V245175 + 1. assign V816048 = V664951 - 1. assign V584335 = V342816 - 1. assign V191559 = V818316 + 1. assign V417216 = V530705 - 1. assign V778591 = V421573 - 1. assign V277751 = V532784 - 1. assign V255758 = V789507. assign V819325 = V245175 - 1. assign V401888 = V927642. assign V329513 = V664951. assign V141615 = V977887 - 1. assign V687151 = V906969 + 1. assign V887700 = V898061. assign V249672 = V421573. assign V518822 = V488235. assign V399665 = V329513. assign V576045 = V839080. assign V950641 = V871605 - 1. assign V150445 = V006178 + 1. assign V584757 = V739257. assign V692201 = V598422. assign V984275 = V043456. assign V878290 = V567523 - 1. assign V538346 = V736474 - 1. assign V736474 = V332731. assign V631868 = V048901 - 1. assign V576607 = V222552 - 1. assign V402002 = V465764 - 1. assign V146767 = V068617. assign V416030 = V887700. assign V228183 = V536921 + 1. assign V744790 = V887700. assign V223362 = V465764 - 1. assign V148669 = V006178 - 1. assign V154922 = V941185. assign V499023 = V584757. assign V743255 = V941185 + 1. assign V199009 = V950641 - 1. assign V203382 = V039202. assign V520909 = V255758. assign V972184 = V454088 - 1. assign V687911 = V576045. assign V413129 = V402002. assign V488235 = V871605 - 1. assign V679375 = V248372 + 1. assign V775864 = V664951 + 1. assign V342816 = V739257 - 1. assign V906969 = 5. assign V039202 = V775864 - 1. assign V042978 = V778591 + 1. assign V739257 = V530705 - 1. assign V398439 = V000580 + 1. assign V800636 = V673376. assign V898061 = V950641. assign V332731 = V144642 - 1. assign V727649 = V188519 - 1. assign V573126 = V599933. assign V839080 = V465764 - 1. assign V561941 = V312762 + 1. assign V272617 = V800636 + 1. assign V245175 = V402002. assign V465764 = V664951 - 1. assign V689881 = V617842 + 1. assign V987952 = V737705. assign V043456 = V329513 - 1. assign V375588 = V272617 - 1. assign V309628 = V454088 - 1. assign V832792 = V532784 - 1. assign V591735 = V819325 - 1. assign V914698 = V329513 + 1. assign V006178 = V421573. assign V789507 = V871605. assign V248372 = V413967. assign V918363 = V520909 + 1. assign V536921 = V743255. assign V640850 = V950641. assign V188519 = V792281. assign V216097 = V941185 - 1. assign V233684 = V342816 + 1. assign V673376 = V753332 + 1. assign V047079 = V737705 - 1. assign V171278 = V753332 - 1. assign V941284 = V571032 - 1. assign V275427 = V497807 + 1. assign V772756 = V042978 + 1. assign V941185 = V737705 + 1. assign V223718 = V972184. assign V500917 = V518822 - 1. assign V388245 = V332731 + 1. assign V095080 = V737705 + 1. assign V127607 = V743255. assign V631321 = V561941 + 1. assign V970612 = V984275 + 1. assign V740611 = V811464 - 1. assign V559543 = V204270 - 1. assign V846646 = V789507 + 1. assign V204270 = V039202 - 1. assign V222552 = V818316 + 1. assign V090644 = V156363 + 1. assign V530705 = V839080. assign V312762 = V255758 - 1. assign V708510 = V832792. assign V336711 = V249672 + 1. assign V978361 = V305852 - 1. assign V048901 = V887700 + 1. assign V507565 = V454088 - 1. assign V184965 = V689881 - 1. assign V476660 = V839080 + 1. assign V068617 = V312762. assign V319637 = V421573. assign V818316 = V753332 - 1. assign V771820 = V336711 + 1. assign V567523 = V532784. assign V619317 = V687911 + 1. assign V174734 = V878290 + 1. assign V535083 = V927642. assign V032289 = V567523 - 1. assign V599933 = V789507. assign V792281 = V775864 + 1. assign V713527 = V567523 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV906969 = 5;\n\nFrom these direct assignment(s), we have: \nV687151 = V906969 + 1 = 5 + 1 =6;\nNo other variables can be derived from V687151;\nNo other variables can be derived from V906969;\n\nNow we have done all the calculations. Derived variables are:\nV906969 = 5;\nV687151 = 6;\n\nNow we have finished this problem. ANSWER:\nV906969\n", "role": "assistant" } ]

[ "V697750", "V296005" ]

[ { "content": "<context>\nassign V240607 = V554996 - 1. assign V262699 = V616093 - 1. assign V182669 = V297488 - 1. assign V548238 = V988126 + 1. assign V141983 = V024953 + 1. assign V372849 = V417521 + 1. assign V254225 = V754722 + 1. assign V378107 = V173302 + 1. assign V390369 = V297488 - 1. assign V107297 = V262699. assign V972024 = V519884 + 1. assign V472820 = V042185 + 1. assign V898274 = V847318 + 1. assign V793611 = V815207. assign V519884 = V024953. assign V558255 = V367312 + 1. assign V051061 = V938753 - 1. assign V613277 = V367312 + 1. assign V056252 = V676153. assign V986697 = V898274. assign V876770 = V226836 + 1. assign V565630 = V876770 - 1. assign V355090 = V272101. assign V016705 = V361578. assign V386877 = V815207 - 1. assign V173302 = V847318. assign V554830 = V554996. assign V104165 = V821743 - 1. assign V960866 = V917021. assign V647729 = V558255 + 1. assign V487211 = V612440 + 1. assign V419834 = V004017 + 1. assign V724198 = V512079 - 1. assign V186039 = V688543 - 1. assign V146693 = V616093 + 1. assign V132689 = V798383 + 1. assign V575244 = V427754 + 1. assign V107609 = V554996 - 1. assign V858223 = V255860. assign V234596 = V246430 - 1. assign V608860 = V288902. assign V024038 = V793611 - 1. assign V598268 = V004017. assign V135898 = V368469 + 1. assign V770368 = V133914. assign V675784 = V847318 + 1. assign V246430 = V368469 + 1. assign V328897 = V065804. assign V382401 = V121478 - 1. assign V737695 = V766245 + 1. assign V493336 = V991636. assign V288303 = V240607 + 1. assign V120668 = V378107. assign V296005 = V697750. assign V840664 = V067675 + 1. assign V827077 = V772237 + 1. assign V982620 = V226836 + 1. assign V330786 = V676153 - 1. assign V081942 = V898274 - 1. assign V133914 = V132689. assign V616093 = V024953 - 1. assign V934972 = V938753 - 1. assign V912354 = V051675. assign V954392 = V754722. assign V225582 = V120668 - 1. assign V676153 = V737695 + 1. assign V255860 = V554996 + 1. assign V051675 = V847318 + 1. assign V554996 = V935928. assign V297488 = V367312. assign V361578 = V599335 - 1. assign V147060 = V146693 - 1. assign V024953 = V135898 - 1. assign V272101 = V478538 + 1. assign V766245 = V847318. assign V128746 = V328897. assign V216567 = V898274 - 1. assign V025647 = V234596 + 1. assign V029195 = V262699 - 1. assign V847318 = V599335 + 1. assign V067675 = V807391 - 1. assign V153181 = V766245 + 1. assign V604418 = V868980. assign V065804 = V554996 - 1. assign V411316 = V175624 + 1. assign V345012 = V427754 - 1. assign V121478 = V024953 - 1. assign V401370 = V264882. assign V938753 = V519884 - 1. assign V427754 = V675784 + 1. assign V427417 = V954392 + 1. assign V173199 = V868980 + 1. assign V725628 = V815207 + 1. assign V798383 = V935928. assign V688543 = V519884. assign V153547 = V847318 - 1. assign V166545 = V004017 - 1. assign V215538 = V121478 - 1. assign V175624 = V772237 + 1. assign V615449 = V935928 - 1. assign V039530 = V166545 - 1. assign V312949 = V675784 + 1. assign V054857 = V938753 - 1. assign V075931 = V201491 + 1. assign V474940 = V120668. assign V807391 = V173302. assign V991636 = V569982 + 1. assign V811923 = V478538. assign V697750 = 5. assign V170764 = V205846 - 1. assign V935928 = V121478 - 1. assign V341118 = V793611 - 1. assign V611184 = V378107. assign V205846 = V024953. assign V776414 = V121478. assign V288902 = V319894 + 1. assign V606615 = V776414 - 1. assign V640820 = V478538. assign V612440 = V234596 - 1. assign V016756 = V807391 - 1. assign V923806 = V776414 + 1. assign V772237 = V487211 - 1. assign V367312 = V478538 + 1. assign V988126 = V205846 + 1. assign V308363 = V689303 - 1. assign V421713 = V368469 - 1. assign V519807 = V234596. assign V201491 = V766245 - 1. assign V917021 = V982620 - 1. assign V358910 = V675784 + 1. assign V264882 = V378107 + 1. assign V873159 = V411316 - 1. assign V909183 = V754722. assign V240815 = V938753. assign V599335 = V368469. assign V754722 = V815207 - 1. assign V364339 = V827077 + 1. assign V790651 = V613277. assign V742026 = V421713 - 1. assign V821743 = V827077. assign V815207 = V847318 - 1. assign V953404 = V081942. assign V177670 = V811923. assign V698539 = V153547 + 1. assign V035847 = V288303 + 1. assign V611119 = V772237. assign V512160 = V255860 - 1. assign V004017 = V599335 - 1. assign V766954 = V427730 - 1. assign V299549 = V935928. assign V937332 = V737695 - 1. assign V244567 = V004017 + 1. assign V090476 = V474731 + 1. assign V569982 = V234596 - 1. assign V427730 = V608860 + 1. assign V042185 = V478538 + 1. assign V682733 = V847318 - 1. assign V440085 = V688543 - 1. assign V806280 = V421713. assign V029354 = V616093 + 1. assign V229017 = V487211 - 1. assign V478538 = V599335 - 1. assign V474731 = V264882 - 1. assign V319894 = V798383. assign V417521 = V141983 + 1. assign V245547 = V345012. assign V766643 = V991636 + 1. assign V148881 = V612440. assign V868980 = V612440 + 1. assign V226836 = V051675. assign V689303 = V361578. assign V512079 = V766643.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V240607 = V554996 - 1. assign V262699 = V616093 - 1. assign V182669 = V297488 - 1. assign V548238 = V988126 + 1. assign V141983 = V024953 + 1. assign V372849 = V417521 + 1. assign V254225 = V754722 + 1. assign V378107 = V173302 + 1. assign V390369 = V297488 - 1. assign V107297 = V262699. assign V972024 = V519884 + 1. assign V472820 = V042185 + 1. assign V898274 = V847318 + 1. assign V793611 = V815207. assign V519884 = V024953. assign V558255 = V367312 + 1. assign V051061 = V938753 - 1. assign V613277 = V367312 + 1. assign V056252 = V676153. assign V986697 = V898274. assign V876770 = V226836 + 1. assign V565630 = V876770 - 1. assign V355090 = V272101. assign V016705 = V361578. assign V386877 = V815207 - 1. assign V173302 = V847318. assign V554830 = V554996. assign V104165 = V821743 - 1. assign V960866 = V917021. assign V647729 = V558255 + 1. assign V487211 = V612440 + 1. assign V419834 = V004017 + 1. assign V724198 = V512079 - 1. assign V186039 = V688543 - 1. assign V146693 = V616093 + 1. assign V132689 = V798383 + 1. assign V575244 = V427754 + 1. assign V107609 = V554996 - 1. assign V858223 = V255860. assign V234596 = V246430 - 1. assign V608860 = V288902. assign V024038 = V793611 - 1. assign V598268 = V004017. assign V135898 = V368469 + 1. assign V770368 = V133914. assign V675784 = V847318 + 1. assign V246430 = V368469 + 1. assign V328897 = V065804. assign V382401 = V121478 - 1. assign V737695 = V766245 + 1. assign V493336 = V991636. assign V288303 = V240607 + 1. assign V120668 = V378107. assign V296005 = V697750. assign V840664 = V067675 + 1. assign V827077 = V772237 + 1. assign V982620 = V226836 + 1. assign V330786 = V676153 - 1. assign V081942 = V898274 - 1. assign V133914 = V132689. assign V616093 = V024953 - 1. assign V934972 = V938753 - 1. assign V912354 = V051675. assign V954392 = V754722. assign V225582 = V120668 - 1. assign V676153 = V737695 + 1. assign V255860 = V554996 + 1. assign V051675 = V847318 + 1. assign V554996 = V935928. assign V297488 = V367312. assign V361578 = V599335 - 1. assign V147060 = V146693 - 1. assign V024953 = V135898 - 1. assign V272101 = V478538 + 1. assign V766245 = V847318. assign V128746 = V328897. assign V216567 = V898274 - 1. assign V025647 = V234596 + 1. assign V029195 = V262699 - 1. assign V847318 = V599335 + 1. assign V067675 = V807391 - 1. assign V153181 = V766245 + 1. assign V604418 = V868980. assign V065804 = V554996 - 1. assign V411316 = V175624 + 1. assign V345012 = V427754 - 1. assign V121478 = V024953 - 1. assign V401370 = V264882. assign V938753 = V519884 - 1. assign V427754 = V675784 + 1. assign V427417 = V954392 + 1. assign V173199 = V868980 + 1. assign V725628 = V815207 + 1. assign V798383 = V935928. assign V688543 = V519884. assign V153547 = V847318 - 1. assign V166545 = V004017 - 1. assign V215538 = V121478 - 1. assign V175624 = V772237 + 1. assign V615449 = V935928 - 1. assign V039530 = V166545 - 1. assign V312949 = V675784 + 1. assign V054857 = V938753 - 1. assign V075931 = V201491 + 1. assign V474940 = V120668. assign V807391 = V173302. assign V991636 = V569982 + 1. assign V811923 = V478538. assign V697750 = 5. assign V170764 = V205846 - 1. assign V935928 = V121478 - 1. assign V341118 = V793611 - 1. assign V611184 = V378107. assign V205846 = V024953. assign V776414 = V121478. assign V288902 = V319894 + 1. assign V606615 = V776414 - 1. assign V640820 = V478538. assign V612440 = V234596 - 1. assign V016756 = V807391 - 1. assign V923806 = V776414 + 1. assign V772237 = V487211 - 1. assign V367312 = V478538 + 1. assign V988126 = V205846 + 1. assign V308363 = V689303 - 1. assign V421713 = V368469 - 1. assign V519807 = V234596. assign V201491 = V766245 - 1. assign V917021 = V982620 - 1. assign V358910 = V675784 + 1. assign V264882 = V378107 + 1. assign V873159 = V411316 - 1. assign V909183 = V754722. assign V240815 = V938753. assign V599335 = V368469. assign V754722 = V815207 - 1. assign V364339 = V827077 + 1. assign V790651 = V613277. assign V742026 = V421713 - 1. assign V821743 = V827077. assign V815207 = V847318 - 1. assign V953404 = V081942. assign V177670 = V811923. assign V698539 = V153547 + 1. assign V035847 = V288303 + 1. assign V611119 = V772237. assign V512160 = V255860 - 1. assign V004017 = V599335 - 1. assign V766954 = V427730 - 1. assign V299549 = V935928. assign V937332 = V737695 - 1. assign V244567 = V004017 + 1. assign V090476 = V474731 + 1. assign V569982 = V234596 - 1. assign V427730 = V608860 + 1. assign V042185 = V478538 + 1. assign V682733 = V847318 - 1. assign V440085 = V688543 - 1. assign V806280 = V421713. assign V029354 = V616093 + 1. assign V229017 = V487211 - 1. assign V478538 = V599335 - 1. assign V474731 = V264882 - 1. assign V319894 = V798383. assign V417521 = V141983 + 1. assign V245547 = V345012. assign V766643 = V991636 + 1. assign V148881 = V612440. assign V868980 = V612440 + 1. assign V226836 = V051675. assign V689303 = V361578. assign V512079 = V766643.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV697750 = 5;\n\nFrom these direct assignment(s), we have: \nV296005 = V697750 = 5;\nNo other variables can be derived from V296005;\nNo other variables can be derived from V697750;\n\nNow we have done all the calculations. Derived variables are:\nV697750 = 5;\nV296005 = 5;\n\nNow we have finished this problem. ANSWER:\nV697750, V296005\n", "role": "assistant" } ]

[ "V823564", "V218002" ]

[ { "content": "<context>\nassign V435679 = V976307. assign V730385 = V371498 + 1. assign V798871 = V558852 + 1. assign V390262 = V919524. assign V976307 = V012112. assign V241129 = V109144 + 1. assign V375864 = V607915. assign V348012 = V833414 + 1. assign V018191 = V798871 + 1. assign V104980 = V920617 - 1. assign V472885 = V375864. assign V285044 = V181379. assign V997120 = V777277 - 1. assign V409405 = V456646 - 1. assign V932722 = V625482. assign V542314 = V492049 + 1. assign V932958 = V329167. assign V265914 = V044269 - 1. assign V459956 = V880982 + 1. assign V012112 = V185663. assign V112654 = V390262 - 1. assign V181379 = V012112. assign V125610 = V625482 + 1. assign V467439 = V976307 - 1. assign V329167 = V193710 + 1. assign V982061 = V805617 + 1. assign V987328 = V991121 - 1. assign V844690 = V397017 - 1. assign V555558 = V242093. assign V777277 = V833414. assign V524337 = V855967. assign V093979 = V241129 - 1. assign V010758 = V777277. assign V436787 = V730385 + 1. assign V326850 = V844690 - 1. assign V738418 = V397017 + 1. assign V444538 = V148602 - 1. assign V878573 = V241129. assign V561107 = V164945 + 1. assign V440076 = V022404 - 1. assign V898287 = V558852 + 1. assign V722034 = V777277 + 1. assign V083674 = V734313 + 1. assign V198931 = V738418 - 1. assign V136113 = V060616. assign V895462 = V348012 - 1. assign V939554 = V513129 + 1. assign V047127 = V093979 - 1. assign V003255 = V915828. assign V044269 = V571817. assign V309360 = V599257 + 1. assign V233301 = V198931 - 1. assign V716414 = V987645 - 1. assign V823564 = 8. assign V022404 = V193164 + 1. assign V920617 = V777277. assign V418713 = V285044. assign V679809 = V316108 - 1. assign V326997 = V798871. assign V919524 = V405043 - 1. assign V060118 = V180107 + 1. assign V805617 = V193164 + 1. assign V057684 = V920617. assign V770150 = V720792 + 1. assign V633101 = V060118 + 1. assign V803722 = V456646 + 1. assign V513129 = V155544. assign V110232 = V434773. assign V855815 = V193164 - 1. assign V571817 = V805617. assign V231973 = V164881 + 1. assign V251756 = V730385 + 1. assign V458855 = V193164 + 1. assign V693778 = V397017 + 1. assign V386088 = V409405 + 1. assign V349462 = V193710 + 1. assign V434773 = V155544. assign V286778 = V855815 - 1. assign V335526 = V276097. assign V025196 = V777277. assign V397017 = V919524 - 1. assign V371498 = V012112 - 1. assign V602368 = V438385 - 1. assign V595327 = V198931. assign V894951 = V961337 - 1. assign V164945 = V100169 + 1. assign V164881 = V805617 - 1. assign V148602 = V155544 + 1. assign V623830 = V898287 + 1. assign V218002 = V823564. assign V509487 = V492556 + 1. assign V559330 = V599257. assign V776045 = V148602 + 1. assign V155544 = V625482 + 1. assign V968065 = V833414. assign V855967 = V602368 + 1. assign V867561 = V409405 + 1. assign V997636 = V285432. assign V607915 = V044269 - 1. assign V774705 = V405043. assign V945033 = V976307 - 1. assign V287665 = V607915. assign V411700 = V458855. assign V566716 = V847674 - 1. assign V991121 = V198931 + 1. assign V262140 = V198931 - 1. assign V109144 = V492556 - 1. assign V193710 = V855815. assign V838780 = V155544. assign V276097 = V456646 + 1. assign V081618 = V104980 + 1. assign V295228 = V444538 + 1. assign V104839 = V513129. assign V486327 = V679809 + 1. assign V074945 = V456646 - 1. assign V456646 = V571817. assign V477715 = V987645 - 1. assign V809129 = V838780 + 1. assign V915828 = V349462 + 1. assign V373733 = V976307 + 1. assign V060616 = V777277 + 1. assign V348375 = V109144 + 1. assign V927093 = V915828 + 1. assign V410742 = V397017 - 1. assign V734313 = V625482. assign V034933 = V625482 + 1. assign V132006 = V286778. assign V650789 = V919524 + 1. assign V720792 = V571817 - 1. assign V809465 = V410742 - 1. assign V987645 = V435679. assign V180688 = V982061 + 1. assign V180107 = V044269. assign V405043 = V193164. assign V558852 = V164881 - 1. assign V254722 = V693778 + 1. assign V684548 = V776045 - 1. assign V732456 = V720792 - 1. assign V100169 = V335526. assign V559010 = V435679 - 1. assign V083371 = V895462 + 1. assign V180472 = V390262 + 1. assign V933378 = V997636 - 1. assign V285432 = V397017. assign V833414 = V193164 + 1. assign V599257 = V197543 + 1. assign V929226 = V335526 - 1. assign V847674 = V803722 + 1. assign V492049 = V349462 + 1. assign V664143 = V060118. assign V389794 = V716414. assign V625482 = V405043. assign V492556 = V777277 - 1. assign V587548 = V180107 - 1. assign V559489 = V335526. assign V228759 = V348012 - 1. assign V438385 = V409405. assign V967765 = V987328 + 1. assign V441657 = V348012 + 1. assign V581301 = V181379. assign V360533 = V558852. assign V086341 = V838780 - 1. assign V242093 = V193710 + 1. assign V961337 = V193164. assign V880982 = V571817. assign V880570 = V491106. assign V443945 = V444538 + 1. assign V316108 = V193164 - 1. assign V197543 = V458855. assign V185663 = V805617. assign V491106 = V148602 + 1. assign V403263 = V231973 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V435679 = V976307. assign V730385 = V371498 + 1. assign V798871 = V558852 + 1. assign V390262 = V919524. assign V976307 = V012112. assign V241129 = V109144 + 1. assign V375864 = V607915. assign V348012 = V833414 + 1. assign V018191 = V798871 + 1. assign V104980 = V920617 - 1. assign V472885 = V375864. assign V285044 = V181379. assign V997120 = V777277 - 1. assign V409405 = V456646 - 1. assign V932722 = V625482. assign V542314 = V492049 + 1. assign V932958 = V329167. assign V265914 = V044269 - 1. assign V459956 = V880982 + 1. assign V012112 = V185663. assign V112654 = V390262 - 1. assign V181379 = V012112. assign V125610 = V625482 + 1. assign V467439 = V976307 - 1. assign V329167 = V193710 + 1. assign V982061 = V805617 + 1. assign V987328 = V991121 - 1. assign V844690 = V397017 - 1. assign V555558 = V242093. assign V777277 = V833414. assign V524337 = V855967. assign V093979 = V241129 - 1. assign V010758 = V777277. assign V436787 = V730385 + 1. assign V326850 = V844690 - 1. assign V738418 = V397017 + 1. assign V444538 = V148602 - 1. assign V878573 = V241129. assign V561107 = V164945 + 1. assign V440076 = V022404 - 1. assign V898287 = V558852 + 1. assign V722034 = V777277 + 1. assign V083674 = V734313 + 1. assign V198931 = V738418 - 1. assign V136113 = V060616. assign V895462 = V348012 - 1. assign V939554 = V513129 + 1. assign V047127 = V093979 - 1. assign V003255 = V915828. assign V044269 = V571817. assign V309360 = V599257 + 1. assign V233301 = V198931 - 1. assign V716414 = V987645 - 1. assign V823564 = 8. assign V022404 = V193164 + 1. assign V920617 = V777277. assign V418713 = V285044. assign V679809 = V316108 - 1. assign V326997 = V798871. assign V919524 = V405043 - 1. assign V060118 = V180107 + 1. assign V805617 = V193164 + 1. assign V057684 = V920617. assign V770150 = V720792 + 1. assign V633101 = V060118 + 1. assign V803722 = V456646 + 1. assign V513129 = V155544. assign V110232 = V434773. assign V855815 = V193164 - 1. assign V571817 = V805617. assign V231973 = V164881 + 1. assign V251756 = V730385 + 1. assign V458855 = V193164 + 1. assign V693778 = V397017 + 1. assign V386088 = V409405 + 1. assign V349462 = V193710 + 1. assign V434773 = V155544. assign V286778 = V855815 - 1. assign V335526 = V276097. assign V025196 = V777277. assign V397017 = V919524 - 1. assign V371498 = V012112 - 1. assign V602368 = V438385 - 1. assign V595327 = V198931. assign V894951 = V961337 - 1. assign V164945 = V100169 + 1. assign V164881 = V805617 - 1. assign V148602 = V155544 + 1. assign V623830 = V898287 + 1. assign V218002 = V823564. assign V509487 = V492556 + 1. assign V559330 = V599257. assign V776045 = V148602 + 1. assign V155544 = V625482 + 1. assign V968065 = V833414. assign V855967 = V602368 + 1. assign V867561 = V409405 + 1. assign V997636 = V285432. assign V607915 = V044269 - 1. assign V774705 = V405043. assign V945033 = V976307 - 1. assign V287665 = V607915. assign V411700 = V458855. assign V566716 = V847674 - 1. assign V991121 = V198931 + 1. assign V262140 = V198931 - 1. assign V109144 = V492556 - 1. assign V193710 = V855815. assign V838780 = V155544. assign V276097 = V456646 + 1. assign V081618 = V104980 + 1. assign V295228 = V444538 + 1. assign V104839 = V513129. assign V486327 = V679809 + 1. assign V074945 = V456646 - 1. assign V456646 = V571817. assign V477715 = V987645 - 1. assign V809129 = V838780 + 1. assign V915828 = V349462 + 1. assign V373733 = V976307 + 1. assign V060616 = V777277 + 1. assign V348375 = V109144 + 1. assign V927093 = V915828 + 1. assign V410742 = V397017 - 1. assign V734313 = V625482. assign V034933 = V625482 + 1. assign V132006 = V286778. assign V650789 = V919524 + 1. assign V720792 = V571817 - 1. assign V809465 = V410742 - 1. assign V987645 = V435679. assign V180688 = V982061 + 1. assign V180107 = V044269. assign V405043 = V193164. assign V558852 = V164881 - 1. assign V254722 = V693778 + 1. assign V684548 = V776045 - 1. assign V732456 = V720792 - 1. assign V100169 = V335526. assign V559010 = V435679 - 1. assign V083371 = V895462 + 1. assign V180472 = V390262 + 1. assign V933378 = V997636 - 1. assign V285432 = V397017. assign V833414 = V193164 + 1. assign V599257 = V197543 + 1. assign V929226 = V335526 - 1. assign V847674 = V803722 + 1. assign V492049 = V349462 + 1. assign V664143 = V060118. assign V389794 = V716414. assign V625482 = V405043. assign V492556 = V777277 - 1. assign V587548 = V180107 - 1. assign V559489 = V335526. assign V228759 = V348012 - 1. assign V438385 = V409405. assign V967765 = V987328 + 1. assign V441657 = V348012 + 1. assign V581301 = V181379. assign V360533 = V558852. assign V086341 = V838780 - 1. assign V242093 = V193710 + 1. assign V961337 = V193164. assign V880982 = V571817. assign V880570 = V491106. assign V443945 = V444538 + 1. assign V316108 = V193164 - 1. assign V197543 = V458855. assign V185663 = V805617. assign V491106 = V148602 + 1. assign V403263 = V231973 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV823564 = 8;\n\nFrom these direct assignment(s), we have: \nV218002 = V823564 = 8;\nNo other variables can be derived from V218002;\nNo other variables can be derived from V823564;\n\nNow we have done all the calculations. Derived variables are:\nV823564 = 8;\nV218002 = 8;\n\nNow we have finished this problem. ANSWER:\nV823564, V218002\n", "role": "assistant" } ]

[ "V384089", "V667272" ]

[ { "content": "<context>\nassign V251222 = V025860. assign V570375 = V755444 + 1. assign V612826 = V945029 + 1. assign V945029 = V772740. assign V573447 = V945029 + 1. assign V407559 = V661891 - 1. assign V958369 = V716776 - 1. assign V426186 = V772740 + 1. assign V247936 = V054603 + 1. assign V497672 = V384414 - 1. assign V442228 = V630791 + 1. assign V747620 = V255005 + 1. assign V174161 = V118650. assign V201932 = V409194. assign V826262 = V102755 - 1. assign V563094 = V103519. assign V324168 = V010784. assign V147409 = V085046 - 1. assign V521051 = V573447 - 1. assign V105606 = V059737 - 1. assign V327969 = V772740 - 1. assign V782135 = V025860. assign V105116 = V782135 + 1. assign V972100 = V659665 + 1. assign V744537 = V704351. assign V659665 = V598066 - 1. assign V459332 = V591245 + 1. assign V387136 = V782135 - 1. assign V601721 = V661891 + 1. assign V360353 = V682724 - 1. assign V999750 = V704351. assign V921498 = V682724. assign V244673 = V541265 + 1. assign V583661 = V418618 + 1. assign V456201 = V459332 + 1. assign V488973 = V251222 + 1. assign V526164 = V025860. assign V444149 = V420020 - 1. assign V878844 = V945213 + 1. assign V749618 = V214779 - 1. assign V455394 = V694210 - 1. assign V694210 = V570375 - 1. assign V826605 = V059737. assign V772740 = V025860 + 1. assign V541199 = V025860 - 1. assign V073728 = V105116. assign V754552 = V818801. assign V069529 = V214779 + 1. assign V323054 = V100494 - 1. assign V254327 = V718904 - 1. assign V598545 = V091932 - 1. assign V552690 = V376534. assign V090788 = V717306 - 1. assign V167261 = V426186. assign V645185 = V917694 + 1. assign V963553 = V718904 - 1. assign V226871 = V764232. assign V872071 = V772740 + 1. assign V181366 = V118650 - 1. assign V549279 = V113738 - 1. assign V487538 = V414673 - 1. assign V294634 = V073728 + 1. assign V406716 = V704351 + 1. assign V885491 = V482073. assign V073797 = V683224. assign V588737 = V317055 + 1. assign V398762 = V704351. assign V680758 = V126581 - 1. assign V709704 = V541265 - 1. assign V862586 = V025860 - 1. assign V256103 = V755444 - 1. assign V718904 = V414673. assign V269795 = V244673 - 1. assign V231958 = V601721 + 1. assign V818801 = V384414. assign V814055 = V327969 + 1. assign V598066 = V526164. assign V675924 = V505371. assign V146208 = V718904. assign V776883 = V174161 + 1. assign V018528 = V442228 - 1. assign V423714 = V154875 + 1. assign V214779 = V105116 - 1. assign V420020 = V251222 + 1. assign V734195 = V872927 - 1. assign V535721 = V583661. assign V118650 = V659665 - 1. assign V439460 = V562448. assign V409194 = V091932 - 1. assign V418618 = V010784. assign V255005 = V895462 - 1. assign V662906 = V069529 - 1. assign V630791 = V526164. assign V223552 = V423714. assign V702979 = V759077. assign V661891 = V025860 - 1. assign V091932 = V573447 - 1. assign V933717 = V749618. assign V122133 = V482073 + 1. assign V724912 = V749618 - 1. assign V045477 = V187692 - 1. assign V103519 = V231958. assign V895462 = V426186 - 1. assign V392711 = V744537. assign V759077 = V114334. assign V591880 = V783723. assign V716776 = V102755 - 1. assign V384089 = 10. assign V188846 = V455394 + 1. assign V263881 = V872927. assign V591245 = V384414 + 1. assign V472829 = V223552 - 1. assign V113738 = V442228. assign V085046 = V782135 - 1. assign V376534 = V754552 + 1. assign V703570 = V090788 - 1. assign V008484 = V549279 - 1. assign V562448 = V423714 + 1. assign V187692 = V231958 + 1. assign V783723 = V862586 - 1. assign V154875 = V680758. assign V219120 = V426186. assign V384414 = V277707 + 1. assign V185477 = V102755. assign V999047 = V505371. assign V704351 = V387136 + 1. assign V748953 = V724912 + 1. assign V059737 = V764232 + 1. assign V845256 = V497672 - 1. assign V553780 = V573447 + 1. assign V370979 = V442228 + 1. assign V114334 = V105606 - 1. assign V450750 = V091932. assign V684080 = V755444. assign V793057 = V921498 + 1. assign V010784 = V069529. assign V733282 = V244673 - 1. assign V541265 = V598066. assign V491829 = V661891 - 1. assign V764232 = V409194 + 1. assign V179878 = V921498 + 1. assign V054399 = V054603 + 1. assign V054603 = V630791 + 1. assign V739885 = V718904 - 1. assign V892167 = V645185 - 1. assign V342051 = V105116 - 1. assign V872927 = V414673. assign V482073 = V488973 - 1. assign V707958 = V126581 - 1. assign V717306 = V247936 - 1. assign V277707 = V244673 - 1. assign V718375 = V073728 - 1. assign V414673 = V601721. assign V023413 = V226871 - 1. assign V195536 = V488973. assign V100494 = V251222 + 1. assign V022590 = V219120 + 1. assign V317055 = V694210 + 1. assign V505371 = V895462 - 1. assign V683224 = V783723 - 1. assign V667272 = V384089. assign V126581 = V744537 + 1. assign V606956 = V317446 - 1. assign V917694 = V147409 - 1. assign V147924 = V231958. assign V755444 = V945029 - 1. assign V346380 = V744537 + 1. assign V682724 = V570375 - 1. assign V214615 = V487538 + 1. assign V945213 = V018528 - 1. assign V102755 = V105606. assign V317446 = V749618 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V251222 = V025860. assign V570375 = V755444 + 1. assign V612826 = V945029 + 1. assign V945029 = V772740. assign V573447 = V945029 + 1. assign V407559 = V661891 - 1. assign V958369 = V716776 - 1. assign V426186 = V772740 + 1. assign V247936 = V054603 + 1. assign V497672 = V384414 - 1. assign V442228 = V630791 + 1. assign V747620 = V255005 + 1. assign V174161 = V118650. assign V201932 = V409194. assign V826262 = V102755 - 1. assign V563094 = V103519. assign V324168 = V010784. assign V147409 = V085046 - 1. assign V521051 = V573447 - 1. assign V105606 = V059737 - 1. assign V327969 = V772740 - 1. assign V782135 = V025860. assign V105116 = V782135 + 1. assign V972100 = V659665 + 1. assign V744537 = V704351. assign V659665 = V598066 - 1. assign V459332 = V591245 + 1. assign V387136 = V782135 - 1. assign V601721 = V661891 + 1. assign V360353 = V682724 - 1. assign V999750 = V704351. assign V921498 = V682724. assign V244673 = V541265 + 1. assign V583661 = V418618 + 1. assign V456201 = V459332 + 1. assign V488973 = V251222 + 1. assign V526164 = V025860. assign V444149 = V420020 - 1. assign V878844 = V945213 + 1. assign V749618 = V214779 - 1. assign V455394 = V694210 - 1. assign V694210 = V570375 - 1. assign V826605 = V059737. assign V772740 = V025860 + 1. assign V541199 = V025860 - 1. assign V073728 = V105116. assign V754552 = V818801. assign V069529 = V214779 + 1. assign V323054 = V100494 - 1. assign V254327 = V718904 - 1. assign V598545 = V091932 - 1. assign V552690 = V376534. assign V090788 = V717306 - 1. assign V167261 = V426186. assign V645185 = V917694 + 1. assign V963553 = V718904 - 1. assign V226871 = V764232. assign V872071 = V772740 + 1. assign V181366 = V118650 - 1. assign V549279 = V113738 - 1. assign V487538 = V414673 - 1. assign V294634 = V073728 + 1. assign V406716 = V704351 + 1. assign V885491 = V482073. assign V073797 = V683224. assign V588737 = V317055 + 1. assign V398762 = V704351. assign V680758 = V126581 - 1. assign V709704 = V541265 - 1. assign V862586 = V025860 - 1. assign V256103 = V755444 - 1. assign V718904 = V414673. assign V269795 = V244673 - 1. assign V231958 = V601721 + 1. assign V818801 = V384414. assign V814055 = V327969 + 1. assign V598066 = V526164. assign V675924 = V505371. assign V146208 = V718904. assign V776883 = V174161 + 1. assign V018528 = V442228 - 1. assign V423714 = V154875 + 1. assign V214779 = V105116 - 1. assign V420020 = V251222 + 1. assign V734195 = V872927 - 1. assign V535721 = V583661. assign V118650 = V659665 - 1. assign V439460 = V562448. assign V409194 = V091932 - 1. assign V418618 = V010784. assign V255005 = V895462 - 1. assign V662906 = V069529 - 1. assign V630791 = V526164. assign V223552 = V423714. assign V702979 = V759077. assign V661891 = V025860 - 1. assign V091932 = V573447 - 1. assign V933717 = V749618. assign V122133 = V482073 + 1. assign V724912 = V749618 - 1. assign V045477 = V187692 - 1. assign V103519 = V231958. assign V895462 = V426186 - 1. assign V392711 = V744537. assign V759077 = V114334. assign V591880 = V783723. assign V716776 = V102755 - 1. assign V384089 = 10. assign V188846 = V455394 + 1. assign V263881 = V872927. assign V591245 = V384414 + 1. assign V472829 = V223552 - 1. assign V113738 = V442228. assign V085046 = V782135 - 1. assign V376534 = V754552 + 1. assign V703570 = V090788 - 1. assign V008484 = V549279 - 1. assign V562448 = V423714 + 1. assign V187692 = V231958 + 1. assign V783723 = V862586 - 1. assign V154875 = V680758. assign V219120 = V426186. assign V384414 = V277707 + 1. assign V185477 = V102755. assign V999047 = V505371. assign V704351 = V387136 + 1. assign V748953 = V724912 + 1. assign V059737 = V764232 + 1. assign V845256 = V497672 - 1. assign V553780 = V573447 + 1. assign V370979 = V442228 + 1. assign V114334 = V105606 - 1. assign V450750 = V091932. assign V684080 = V755444. assign V793057 = V921498 + 1. assign V010784 = V069529. assign V733282 = V244673 - 1. assign V541265 = V598066. assign V491829 = V661891 - 1. assign V764232 = V409194 + 1. assign V179878 = V921498 + 1. assign V054399 = V054603 + 1. assign V054603 = V630791 + 1. assign V739885 = V718904 - 1. assign V892167 = V645185 - 1. assign V342051 = V105116 - 1. assign V872927 = V414673. assign V482073 = V488973 - 1. assign V707958 = V126581 - 1. assign V717306 = V247936 - 1. assign V277707 = V244673 - 1. assign V718375 = V073728 - 1. assign V414673 = V601721. assign V023413 = V226871 - 1. assign V195536 = V488973. assign V100494 = V251222 + 1. assign V022590 = V219120 + 1. assign V317055 = V694210 + 1. assign V505371 = V895462 - 1. assign V683224 = V783723 - 1. assign V667272 = V384089. assign V126581 = V744537 + 1. assign V606956 = V317446 - 1. assign V917694 = V147409 - 1. assign V147924 = V231958. assign V755444 = V945029 - 1. assign V346380 = V744537 + 1. assign V682724 = V570375 - 1. assign V214615 = V487538 + 1. assign V945213 = V018528 - 1. assign V102755 = V105606. assign V317446 = V749618 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV384089 = 10;\n\nFrom these direct assignment(s), we have: \nV667272 = V384089 = 10;\nNo other variables can be derived from V667272;\nNo other variables can be derived from V384089;\n\nNow we have done all the calculations. Derived variables are:\nV384089 = 10;\nV667272 = 10;\n\nNow we have finished this problem. ANSWER:\nV384089, V667272\n", "role": "assistant" } ]

[ "V366526" ]

[ { "content": "<context>\nassign V104083 = V747787. assign V518646 = V500501 - 1. assign V691990 = V931252. assign V974795 = V583282 - 1. assign V468766 = V809139 - 1. assign V132754 = V428850 - 1. assign V201963 = V312253. assign V142033 = V847788 + 1. assign V682023 = V809139 - 1. assign V834154 = V663485 - 1. assign V604442 = V809875 - 1. assign V843371 = V151048. assign V434140 = V499724. assign V508880 = V809875 - 1. assign V903427 = V951021. assign V123269 = V931252 + 1. assign V086732 = V319333 + 1. assign V956154 = V986658. assign V366526 = 4. assign V567237 = V201963 - 1. assign V708060 = V592438. assign V465057 = V951021 - 1. assign V313794 = V580023 + 1. assign V082830 = V141009. assign V898797 = V438895 - 1. assign V282141 = V416233 - 1. assign V829554 = V632132 - 1. assign V979760 = V843371 + 1. assign V583282 = V034662 + 1. assign V913896 = V140388 - 1. assign V248475 = V573483. assign V096120 = V438895 + 1. assign V809875 = V931252. assign V945975 = V312253. assign V580023 = V631932 - 1. assign V592438 = V775993. assign V076649 = V142033 - 1. assign V922265 = V413560 - 1. assign V927614 = V135887 - 1. assign V491557 = V312253. assign V573483 = V294660 + 1. assign V162175 = V477873 + 1. assign V228333 = V163299. assign V882152 = V312253. assign V140388 = V478833 + 1. assign V001030 = V691990 - 1. assign V080985 = V308768. assign V190144 = V499724 - 1. assign V509407 = V690707. assign V931252 = V126467 - 1. assign V298386 = V843371 + 1. assign V221787 = V298386 + 1. assign V500501 = V248475 + 1. assign V145247 = V907109 + 1. assign V780276 = V986658. assign V163435 = V083086. assign V163299 = V809875. assign V018424 = V135887 + 1. assign V864937 = V001030 + 1. assign V219120 = V866962 - 1. assign V084262 = V690707 - 1. assign V645386 = V445327 - 1. assign V337446 = V151048. assign V738340 = V558675 + 1. assign V428850 = V134954 + 1. assign V979138 = V366526 - 1. assign V809139 = V142033 + 1. assign V338859 = V836167. assign V137573 = V084262. assign V841280 = V562454 + 1. assign V938700 = V613617 - 1. assign V512156 = V416233. assign V499724 = V989509 - 1. assign V069270 = V809875 + 1. assign V034662 = V134954 - 1. assign V657399 = V523097 - 1. assign V381602 = V809139 - 1. assign V395175 = V613617 + 1. assign V027314 = V809875. assign V410186 = V337446. assign V598039 = V027314. assign V628481 = V142033 - 1. assign V255979 = V337446 + 1. assign V986658 = V631932 - 1. assign V333495 = V512156 + 1. assign V294660 = V632132 - 1. assign V555712 = V126467 + 1. assign V932675 = V548943 + 1. assign V374141 = V613617. assign V355990 = V151048 - 1. assign V702110 = V986658. assign V833747 = V702110. assign V705079 = V070203 + 1. assign V377193 = V974795 + 1. assign V548943 = V095840 - 1. assign V439078 = V691990. assign V523097 = V931252 + 1. assign V151048 = V632132 + 1. assign V907109 = V650487. assign V477873 = V843371 + 1. assign V362480 = V645386 + 1. assign V331128 = V986658 - 1. assign V737082 = V084262. assign V134954 = V986658. assign V319333 = V631932 - 1. assign V083086 = V126467 - 1. assign V563648 = V084262. assign V126467 = V632132 - 1. assign V332404 = V364639. assign V813170 = V018424 + 1. assign V326731 = V140388 + 1. assign V416233 = V163435. assign V545343 = V580023 - 1. assign V998284 = V632132 + 1. assign V747787 = V294660. assign V951021 = V084262 + 1. assign V681514 = V903427 + 1. assign V095780 = V613617 - 1. assign V413560 = V184342. assign V836167 = V080985 + 1. assign V312253 = V509407. assign V244467 = V313794. assign V884293 = V228333 - 1. assign V035811 = V076649 - 1. assign V411714 = V580023 - 1. assign V384730 = V834154 - 1. assign V847788 = V438895 + 1. assign V037524 = V162175. assign V866962 = V410186 + 1. assign V736146 = V384730 - 1. assign V820851 = V986658. assign V706491 = V986658. assign V971346 = V255847. assign V913898 = V298386. assign V478833 = V255847 + 1. assign V356279 = V573483 - 1. assign V907148 = V663485. assign V333249 = V558675. assign V049537 = V255847 + 1. assign V690707 = V931252. assign V714491 = V151048 + 1. assign V650487 = V142033 - 1. assign V095840 = V690707. assign V614241 = V163435. assign V613104 = V907109 + 1. assign V419297 = V809139. assign V382654 = V809875 + 1. assign V558675 = V938700. assign V200868 = V866962 + 1. assign V070203 = V410186 - 1. assign V109776 = V573483 - 1. assign V362071 = V563648 + 1. assign V445327 = V126467 - 1. assign V364639 = V362071. assign V323400 = V866962 + 1. assign V974674 = V836167 - 1. assign V184342 = V737082. assign V989509 = V563648. assign V613617 = V632132 + 1. assign V308768 = V931252 - 1. assign V562454 = V126467 + 1. assign V886657 = V563648 + 1. assign V141009 = V780276 + 1. assign V135887 = V931252. assign V645653 = V018424 + 1. assign V438895 = V714491 - 1. assign V663485 = V898797 - 1. assign V631932 = V126467 - 1. assign V354621 = V563648 - 1. assign V075745 = V780276. assign V255847 = V095840. assign V775993 = V135887 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V104083 = V747787. assign V518646 = V500501 - 1. assign V691990 = V931252. assign V974795 = V583282 - 1. assign V468766 = V809139 - 1. assign V132754 = V428850 - 1. assign V201963 = V312253. assign V142033 = V847788 + 1. assign V682023 = V809139 - 1. assign V834154 = V663485 - 1. assign V604442 = V809875 - 1. assign V843371 = V151048. assign V434140 = V499724. assign V508880 = V809875 - 1. assign V903427 = V951021. assign V123269 = V931252 + 1. assign V086732 = V319333 + 1. assign V956154 = V986658. assign V366526 = 4. assign V567237 = V201963 - 1. assign V708060 = V592438. assign V465057 = V951021 - 1. assign V313794 = V580023 + 1. assign V082830 = V141009. assign V898797 = V438895 - 1. assign V282141 = V416233 - 1. assign V829554 = V632132 - 1. assign V979760 = V843371 + 1. assign V583282 = V034662 + 1. assign V913896 = V140388 - 1. assign V248475 = V573483. assign V096120 = V438895 + 1. assign V809875 = V931252. assign V945975 = V312253. assign V580023 = V631932 - 1. assign V592438 = V775993. assign V076649 = V142033 - 1. assign V922265 = V413560 - 1. assign V927614 = V135887 - 1. assign V491557 = V312253. assign V573483 = V294660 + 1. assign V162175 = V477873 + 1. assign V228333 = V163299. assign V882152 = V312253. assign V140388 = V478833 + 1. assign V001030 = V691990 - 1. assign V080985 = V308768. assign V190144 = V499724 - 1. assign V509407 = V690707. assign V931252 = V126467 - 1. assign V298386 = V843371 + 1. assign V221787 = V298386 + 1. assign V500501 = V248475 + 1. assign V145247 = V907109 + 1. assign V780276 = V986658. assign V163435 = V083086. assign V163299 = V809875. assign V018424 = V135887 + 1. assign V864937 = V001030 + 1. assign V219120 = V866962 - 1. assign V084262 = V690707 - 1. assign V645386 = V445327 - 1. assign V337446 = V151048. assign V738340 = V558675 + 1. assign V428850 = V134954 + 1. assign V979138 = V366526 - 1. assign V809139 = V142033 + 1. assign V338859 = V836167. assign V137573 = V084262. assign V841280 = V562454 + 1. assign V938700 = V613617 - 1. assign V512156 = V416233. assign V499724 = V989509 - 1. assign V069270 = V809875 + 1. assign V034662 = V134954 - 1. assign V657399 = V523097 - 1. assign V381602 = V809139 - 1. assign V395175 = V613617 + 1. assign V027314 = V809875. assign V410186 = V337446. assign V598039 = V027314. assign V628481 = V142033 - 1. assign V255979 = V337446 + 1. assign V986658 = V631932 - 1. assign V333495 = V512156 + 1. assign V294660 = V632132 - 1. assign V555712 = V126467 + 1. assign V932675 = V548943 + 1. assign V374141 = V613617. assign V355990 = V151048 - 1. assign V702110 = V986658. assign V833747 = V702110. assign V705079 = V070203 + 1. assign V377193 = V974795 + 1. assign V548943 = V095840 - 1. assign V439078 = V691990. assign V523097 = V931252 + 1. assign V151048 = V632132 + 1. assign V907109 = V650487. assign V477873 = V843371 + 1. assign V362480 = V645386 + 1. assign V331128 = V986658 - 1. assign V737082 = V084262. assign V134954 = V986658. assign V319333 = V631932 - 1. assign V083086 = V126467 - 1. assign V563648 = V084262. assign V126467 = V632132 - 1. assign V332404 = V364639. assign V813170 = V018424 + 1. assign V326731 = V140388 + 1. assign V416233 = V163435. assign V545343 = V580023 - 1. assign V998284 = V632132 + 1. assign V747787 = V294660. assign V951021 = V084262 + 1. assign V681514 = V903427 + 1. assign V095780 = V613617 - 1. assign V413560 = V184342. assign V836167 = V080985 + 1. assign V312253 = V509407. assign V244467 = V313794. assign V884293 = V228333 - 1. assign V035811 = V076649 - 1. assign V411714 = V580023 - 1. assign V384730 = V834154 - 1. assign V847788 = V438895 + 1. assign V037524 = V162175. assign V866962 = V410186 + 1. assign V736146 = V384730 - 1. assign V820851 = V986658. assign V706491 = V986658. assign V971346 = V255847. assign V913898 = V298386. assign V478833 = V255847 + 1. assign V356279 = V573483 - 1. assign V907148 = V663485. assign V333249 = V558675. assign V049537 = V255847 + 1. assign V690707 = V931252. assign V714491 = V151048 + 1. assign V650487 = V142033 - 1. assign V095840 = V690707. assign V614241 = V163435. assign V613104 = V907109 + 1. assign V419297 = V809139. assign V382654 = V809875 + 1. assign V558675 = V938700. assign V200868 = V866962 + 1. assign V070203 = V410186 - 1. assign V109776 = V573483 - 1. assign V362071 = V563648 + 1. assign V445327 = V126467 - 1. assign V364639 = V362071. assign V323400 = V866962 + 1. assign V974674 = V836167 - 1. assign V184342 = V737082. assign V989509 = V563648. assign V613617 = V632132 + 1. assign V308768 = V931252 - 1. assign V562454 = V126467 + 1. assign V886657 = V563648 + 1. assign V141009 = V780276 + 1. assign V135887 = V931252. assign V645653 = V018424 + 1. assign V438895 = V714491 - 1. assign V663485 = V898797 - 1. assign V631932 = V126467 - 1. assign V354621 = V563648 - 1. assign V075745 = V780276. assign V255847 = V095840. assign V775993 = V135887 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV366526 = 4;\n\nFrom these direct assignment(s), we have: \nV979138 = V366526 - 1 = 4 - 1 =3;\nNo other variables can be derived from V979138;\nNo other variables can be derived from V366526;\n\nNow we have done all the calculations. Derived variables are:\nV366526 = 4;\nV979138 = 3;\n\nNow we have finished this problem. ANSWER:\nV366526\n", "role": "assistant" } ]

[ "V888145" ]

[ { "content": "<context>\nassign V689701 = V634230. assign V578315 = V061337 + 1. assign V582467 = V476154. assign V923826 = V455184 - 1. assign V812718 = V476154 - 1. assign V780322 = V855790 + 1. assign V520260 = V797523. assign V462398 = V406178 - 1. assign V843557 = V563941 + 1. assign V964726 = V906849. assign V906849 = V566168 - 1. assign V650193 = V680400 + 1. assign V888145 = 8. assign V183129 = V855177. assign V994477 = V566168. assign V472849 = V574985. assign V052925 = V067952 + 1. assign V714070 = V067952 - 1. assign V091555 = V990481 - 1. assign V912231 = V865396 - 1. assign V970995 = V582467 - 1. assign V225947 = V454396 - 1. assign V213852 = V107542 - 1. assign V675075 = V052925 + 1. assign V268474 = V214677. assign V904268 = V500990 - 1. assign V680400 = V816092. assign V006466 = V368657. assign V204478 = V540233 + 1. assign V659339 = V868759 - 1. assign V386183 = V200420 + 1. assign V983168 = V403590 - 1. assign V433868 = V298642 + 1. assign V133823 = V106843. assign V590374 = V574985 + 1. assign V397571 = V403590 + 1. assign V368657 = V579907. assign V315571 = V780322. assign V116777 = V756642 - 1. assign V186981 = V052925. assign V756771 = V401580 + 1. assign V214677 = V983168. assign V524788 = V129567 - 1. assign V593219 = V928467 + 1. assign V156670 = V299562 + 1. assign V474079 = V214677. assign V477168 = V904268. assign V061337 = V590374 + 1. assign V051137 = V455184 - 1. assign V262827 = V865396 + 1. assign V928164 = V923826. assign V454210 = V008417 - 1. assign V008417 = V666625 + 1. assign V068138 = V888144 + 1. assign V449230 = V403931 - 1. assign V855177 = V500990. assign V459202 = V923826 - 1. assign V411840 = V052925. assign V741689 = V668541 + 1. assign V574985 = V540233 - 1. assign V495161 = V229051 + 1. assign V910569 = V500990 - 1. assign V665750 = V008417 + 1. assign V255620 = V268474. assign V120885 = V868759 + 1. assign V454396 = V561423 - 1. assign V403931 = V865396 + 1. assign V953297 = V041902 - 1. assign V298642 = V091555 + 1. assign V073195 = V477168 - 1. assign V067952 = V561423 - 1. assign V626086 = V937358. assign V229051 = V540233. assign V756642 = V906849 + 1. assign V333669 = V574985 + 1. assign V731336 = V812718 - 1. assign V573024 = V668541. assign V915661 = V462398 + 1. assign V872129 = V983168 + 1. assign V617099 = V214677 - 1. assign V401580 = V855177. assign V816092 = V067952 - 1. assign V698974 = V741689 + 1. assign V991513 = V495161 + 1. assign V891330 = V485466 - 1. assign V202094 = V081669 - 1. assign V126734 = V888145 - 1. assign V490443 = V566168 + 1. assign V445710 = V870196. assign V128716 = V050767 + 1. assign V888144 = V455184 + 1. assign V563941 = V540233 + 1. assign V570304 = V904268. assign V792657 = V780322 - 1. assign V537236 = V912231. assign V041902 = V614443 + 1. assign V072826 = V872129 - 1. assign V566168 = V106843. assign V485466 = V843557 - 1. assign V619114 = V537659 - 1. assign V377124 = V855790 - 1. assign V636024 = V912231 - 1. assign V990481 = V183129. assign V455184 = V928467. assign V811331 = V937358. assign V870196 = V574985. assign V349713 = V213852 - 1. assign V855790 = V411840. assign V037469 = V563941 - 1. assign V334270 = V882873 + 1. assign V106843 = V563941. assign V939479 = V500990 + 1. assign V219830 = V349713. assign V406178 = V563941. assign V098369 = V659339 - 1. assign V537659 = V128716. assign V403590 = V333669 + 1. assign V469177 = V650193 - 1. assign V776700 = V459202 + 1. assign V519759 = V990481 - 1. assign V299562 = V756771 - 1. assign V798923 = V537659. assign V500990 = V714070. assign V299446 = V495161 - 1. assign V726205 = V915661. assign V928467 = V561423 + 1. assign V567354 = V991513 - 1. assign V579907 = V476154 - 1. assign V668541 = V537236 - 1. assign V208526 = V812718. assign V765759 = V865396 + 1. assign V123672 = V141774 - 1. assign V124258 = V334270 - 1. assign V425707 = V051137. assign V369803 = V333669. assign V972791 = V068138 - 1. assign V797523 = V455184. assign V528056 = V051137 - 1. assign V487354 = V855790 - 1. assign V050767 = V106843. assign V180788 = V904268. assign V729324 = V411840 + 1. assign V730542 = V067952. assign V081669 = V540233. assign V882464 = V912231 - 1. assign V407099 = V888144 - 1. assign V751511 = V403590 + 1. assign V107542 = V540233 - 1. assign V882873 = V008417 + 1. assign V284557 = V128716. assign V006436 = V284557. assign V919200 = V915661 - 1. assign V476154 = V563941 - 1. assign V694828 = V051137 - 1. assign V634230 = V574985 + 1. assign V077531 = V573024 + 1. assign V129567 = V462398. assign V666625 = V333669 - 1. assign V358009 = V334270 - 1. assign V251804 = V868759. assign V614443 = V683610 + 1. assign V850522 = V928467 - 1. assign V937358 = V566168 + 1. assign V200420 = V133823 + 1. assign V540233 = V561423 - 1. assign V317407 = V573024. assign V619843 = V991513 + 1. assign V683610 = V593219. assign V865396 = V566168. assign V567179 = V563941 + 1. assign V141774 = V485466 - 1. assign V868759 = V870196 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V689701 = V634230. assign V578315 = V061337 + 1. assign V582467 = V476154. assign V923826 = V455184 - 1. assign V812718 = V476154 - 1. assign V780322 = V855790 + 1. assign V520260 = V797523. assign V462398 = V406178 - 1. assign V843557 = V563941 + 1. assign V964726 = V906849. assign V906849 = V566168 - 1. assign V650193 = V680400 + 1. assign V888145 = 8. assign V183129 = V855177. assign V994477 = V566168. assign V472849 = V574985. assign V052925 = V067952 + 1. assign V714070 = V067952 - 1. assign V091555 = V990481 - 1. assign V912231 = V865396 - 1. assign V970995 = V582467 - 1. assign V225947 = V454396 - 1. assign V213852 = V107542 - 1. assign V675075 = V052925 + 1. assign V268474 = V214677. assign V904268 = V500990 - 1. assign V680400 = V816092. assign V006466 = V368657. assign V204478 = V540233 + 1. assign V659339 = V868759 - 1. assign V386183 = V200420 + 1. assign V983168 = V403590 - 1. assign V433868 = V298642 + 1. assign V133823 = V106843. assign V590374 = V574985 + 1. assign V397571 = V403590 + 1. assign V368657 = V579907. assign V315571 = V780322. assign V116777 = V756642 - 1. assign V186981 = V052925. assign V756771 = V401580 + 1. assign V214677 = V983168. assign V524788 = V129567 - 1. assign V593219 = V928467 + 1. assign V156670 = V299562 + 1. assign V474079 = V214677. assign V477168 = V904268. assign V061337 = V590374 + 1. assign V051137 = V455184 - 1. assign V262827 = V865396 + 1. assign V928164 = V923826. assign V454210 = V008417 - 1. assign V008417 = V666625 + 1. assign V068138 = V888144 + 1. assign V449230 = V403931 - 1. assign V855177 = V500990. assign V459202 = V923826 - 1. assign V411840 = V052925. assign V741689 = V668541 + 1. assign V574985 = V540233 - 1. assign V495161 = V229051 + 1. assign V910569 = V500990 - 1. assign V665750 = V008417 + 1. assign V255620 = V268474. assign V120885 = V868759 + 1. assign V454396 = V561423 - 1. assign V403931 = V865396 + 1. assign V953297 = V041902 - 1. assign V298642 = V091555 + 1. assign V073195 = V477168 - 1. assign V067952 = V561423 - 1. assign V626086 = V937358. assign V229051 = V540233. assign V756642 = V906849 + 1. assign V333669 = V574985 + 1. assign V731336 = V812718 - 1. assign V573024 = V668541. assign V915661 = V462398 + 1. assign V872129 = V983168 + 1. assign V617099 = V214677 - 1. assign V401580 = V855177. assign V816092 = V067952 - 1. assign V698974 = V741689 + 1. assign V991513 = V495161 + 1. assign V891330 = V485466 - 1. assign V202094 = V081669 - 1. assign V126734 = V888145 - 1. assign V490443 = V566168 + 1. assign V445710 = V870196. assign V128716 = V050767 + 1. assign V888144 = V455184 + 1. assign V563941 = V540233 + 1. assign V570304 = V904268. assign V792657 = V780322 - 1. assign V537236 = V912231. assign V041902 = V614443 + 1. assign V072826 = V872129 - 1. assign V566168 = V106843. assign V485466 = V843557 - 1. assign V619114 = V537659 - 1. assign V377124 = V855790 - 1. assign V636024 = V912231 - 1. assign V990481 = V183129. assign V455184 = V928467. assign V811331 = V937358. assign V870196 = V574985. assign V349713 = V213852 - 1. assign V855790 = V411840. assign V037469 = V563941 - 1. assign V334270 = V882873 + 1. assign V106843 = V563941. assign V939479 = V500990 + 1. assign V219830 = V349713. assign V406178 = V563941. assign V098369 = V659339 - 1. assign V537659 = V128716. assign V403590 = V333669 + 1. assign V469177 = V650193 - 1. assign V776700 = V459202 + 1. assign V519759 = V990481 - 1. assign V299562 = V756771 - 1. assign V798923 = V537659. assign V500990 = V714070. assign V299446 = V495161 - 1. assign V726205 = V915661. assign V928467 = V561423 + 1. assign V567354 = V991513 - 1. assign V579907 = V476154 - 1. assign V668541 = V537236 - 1. assign V208526 = V812718. assign V765759 = V865396 + 1. assign V123672 = V141774 - 1. assign V124258 = V334270 - 1. assign V425707 = V051137. assign V369803 = V333669. assign V972791 = V068138 - 1. assign V797523 = V455184. assign V528056 = V051137 - 1. assign V487354 = V855790 - 1. assign V050767 = V106843. assign V180788 = V904268. assign V729324 = V411840 + 1. assign V730542 = V067952. assign V081669 = V540233. assign V882464 = V912231 - 1. assign V407099 = V888144 - 1. assign V751511 = V403590 + 1. assign V107542 = V540233 - 1. assign V882873 = V008417 + 1. assign V284557 = V128716. assign V006436 = V284557. assign V919200 = V915661 - 1. assign V476154 = V563941 - 1. assign V694828 = V051137 - 1. assign V634230 = V574985 + 1. assign V077531 = V573024 + 1. assign V129567 = V462398. assign V666625 = V333669 - 1. assign V358009 = V334270 - 1. assign V251804 = V868759. assign V614443 = V683610 + 1. assign V850522 = V928467 - 1. assign V937358 = V566168 + 1. assign V200420 = V133823 + 1. assign V540233 = V561423 - 1. assign V317407 = V573024. assign V619843 = V991513 + 1. assign V683610 = V593219. assign V865396 = V566168. assign V567179 = V563941 + 1. assign V141774 = V485466 - 1. assign V868759 = V870196 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV888145 = 8;\n\nFrom these direct assignment(s), we have: \nV126734 = V888145 - 1 = 8 - 1 =7;\nNo other variables can be derived from V126734;\nNo other variables can be derived from V888145;\n\nNow we have done all the calculations. Derived variables are:\nV888145 = 8;\nV126734 = 7;\n\nNow we have finished this problem. ANSWER:\nV888145\n", "role": "assistant" } ]

[ "V176410" ]

[ { "content": "<context>\nassign V868575 = V679906 - 1. assign V336705 = V290958. assign V229152 = V936703 + 1. assign V518224 = V081399. assign V514896 = V743443. assign V939454 = V396142 - 1. assign V659124 = V913459 + 1. assign V608529 = V514896 + 1. assign V914592 = V686729. assign V160037 = V165754 + 1. assign V598496 = V282394. assign V665975 = V439507. assign V470349 = V239864 - 1. assign V747127 = V914592 - 1. assign V743443 = V932617 + 1. assign V751117 = V129737 + 1. assign V396142 = V865138. assign V019325 = V915341 + 1. assign V479269 = V112847. assign V993866 = V868605. assign V585067 = V495614 + 1. assign V114402 = V049255 + 1. assign V727536 = V515233 - 1. assign V475376 = V470349. assign V419018 = V851591 + 1. assign V010604 = V475376 - 1. assign V857894 = V239864 + 1. assign V023146 = V026346 + 1. assign V441454 = V475376 + 1. assign V954953 = V470349 - 1. assign V178304 = V337145 + 1. assign V913459 = V019464. assign V714844 = V468537 + 1. assign V347018 = V880657 - 1. assign V807339 = V686729 - 1. assign V059439 = V514896 + 1. assign V997386 = V126599 - 1. assign V252949 = V414110 - 1. assign V776608 = V590045. assign V131657 = V360344 + 1. assign V401030 = V212409 - 1. assign V620006 = V129988 + 1. assign V943727 = V914592. assign V165754 = V878848. assign V439507 = V126599 + 1. assign V597077 = V427254 + 1. assign V495614 = V880657 + 1. assign V129737 = V081399 + 1. assign V120599 = V396142 - 1. assign V206053 = V747127 - 1. assign V309819 = 8. assign V282394 = V081399 - 1. assign V093430 = V360344 + 1. assign V161218 = V566884 - 1. assign V158537 = V858645. assign V129988 = V865138. assign V730311 = V337145 - 1. assign V737122 = V476268 - 1. assign V915341 = V932617 + 1. assign V463423 = V185803 - 1. assign V112847 = V396142 - 1. assign V493841 = V129737. assign V019464 = V160037 - 1. assign V198865 = V439507 - 1. assign V686729 = V396142 - 1. assign V793353 = V278651 - 1. assign V081399 = V260195 - 1. assign V492352 = V515895 + 1. assign V844982 = V667423 - 1. assign V875126 = V936703. assign V679906 = V049255 + 1. assign V744980 = V112847 - 1. assign V720912 = V878848 + 1. assign V726745 = V737122 - 1. assign V978677 = V847212. assign V074314 = V129737 - 1. assign V769938 = V878848 - 1. assign V847212 = V163684 + 1. assign V662087 = V720912 + 1. assign V990852 = V743443. assign V468343 = V401030 - 1. assign V040145 = V132079 + 1. assign V904623 = V163684 + 1. assign V774918 = V654679 - 1. assign V113907 = V120599 - 1. assign V476268 = V468537 + 1. assign V573561 = V160037 - 1. assign V878848 = V468537 + 1. assign V621101 = V360344 + 1. assign V414110 = V597077. assign V480173 = V490416 - 1. assign V590045 = V120599 - 1. assign V957359 = V853620 + 1. assign V127489 = V212409 + 1. assign V936703 = V476268 + 1. assign V122497 = V621101 + 1. assign V798914 = V957359 + 1. assign V393347 = V757484 - 1. assign V360344 = V868605 - 1. assign V947109 = V813310 - 1. assign V281578 = V873396 + 1. assign V515233 = V857894 - 1. assign V700904 = V120599 - 1. assign V892204 = V624858 - 1. assign V566884 = V868605 + 1. assign V381193 = V720912 + 1. assign V853620 = V915341 + 1. assign V049255 = V667423. assign V320570 = V381193 - 1. assign V762848 = V857894 + 1. assign V880657 = V747127 + 1. assign V251606 = V769483 + 1. assign V757484 = V847212. assign V667423 = V152627. assign V911077 = V126599. assign V122435 = V868605. assign V113639 = V943727 + 1. assign V654679 = V414110 + 1. assign V947304 = V566884. assign V851591 = V701424 + 1. assign V198947 = V993866 + 1. assign V212409 = V476268 + 1. assign V132079 = V475376 - 1. assign V126599 = V427254 + 1. assign V185803 = V122497 + 1. assign V802288 = V122435 - 1. assign V858645 = V360344 - 1. assign V361527 = V129988 - 1. assign V967836 = V776608 - 1. assign V873396 = V514896 + 1. assign V498957 = V954953 - 1. assign V239628 = V396142. assign V813310 = V113639. assign V068781 = V714844 + 1. assign V295125 = V476268. assign V864016 = V131657 - 1. assign V868605 = V468537. assign V932617 = V865138. assign V701424 = V621101. assign V306774 = V239864 + 1. assign V210817 = V802288 - 1. assign V239864 = V597077 + 1. assign V620768 = V726745 - 1. assign V522893 = V381193. assign V163684 = V396142 + 1. assign V515895 = V470349. assign V108229 = V747127 - 1. assign V540211 = V160037 + 1. assign V315623 = V490416. assign V602513 = V381193 + 1. assign V622224 = V295125 + 1. assign V278651 = V904623. assign V867630 = V278651 + 1. assign V176410 = V309819 + 1. assign V606625 = V654679 - 1. assign V466496 = V132079 + 1. assign V490416 = V878848. assign V730571 = V239628 - 1. assign V290958 = V131657 + 1. assign V305538 = V864016. assign V427254 = V865138 + 1. assign V010753 = V751117 - 1. assign V883040 = V915341 - 1. assign V769483 = V868605 + 1. assign V624858 = V813310 + 1. assign V260195 = V932617. assign V152627 = V914592. assign V219757 = V851591 - 1. assign V026346 = V112847. assign V468537 = V427254. assign V967349 = V475376. assign V337145 = V427254 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V868575 = V679906 - 1. assign V336705 = V290958. assign V229152 = V936703 + 1. assign V518224 = V081399. assign V514896 = V743443. assign V939454 = V396142 - 1. assign V659124 = V913459 + 1. assign V608529 = V514896 + 1. assign V914592 = V686729. assign V160037 = V165754 + 1. assign V598496 = V282394. assign V665975 = V439507. assign V470349 = V239864 - 1. assign V747127 = V914592 - 1. assign V743443 = V932617 + 1. assign V751117 = V129737 + 1. assign V396142 = V865138. assign V019325 = V915341 + 1. assign V479269 = V112847. assign V993866 = V868605. assign V585067 = V495614 + 1. assign V114402 = V049255 + 1. assign V727536 = V515233 - 1. assign V475376 = V470349. assign V419018 = V851591 + 1. assign V010604 = V475376 - 1. assign V857894 = V239864 + 1. assign V023146 = V026346 + 1. assign V441454 = V475376 + 1. assign V954953 = V470349 - 1. assign V178304 = V337145 + 1. assign V913459 = V019464. assign V714844 = V468537 + 1. assign V347018 = V880657 - 1. assign V807339 = V686729 - 1. assign V059439 = V514896 + 1. assign V997386 = V126599 - 1. assign V252949 = V414110 - 1. assign V776608 = V590045. assign V131657 = V360344 + 1. assign V401030 = V212409 - 1. assign V620006 = V129988 + 1. assign V943727 = V914592. assign V165754 = V878848. assign V439507 = V126599 + 1. assign V597077 = V427254 + 1. assign V495614 = V880657 + 1. assign V129737 = V081399 + 1. assign V120599 = V396142 - 1. assign V206053 = V747127 - 1. assign V309819 = 8. assign V282394 = V081399 - 1. assign V093430 = V360344 + 1. assign V161218 = V566884 - 1. assign V158537 = V858645. assign V129988 = V865138. assign V730311 = V337145 - 1. assign V737122 = V476268 - 1. assign V915341 = V932617 + 1. assign V463423 = V185803 - 1. assign V112847 = V396142 - 1. assign V493841 = V129737. assign V019464 = V160037 - 1. assign V198865 = V439507 - 1. assign V686729 = V396142 - 1. assign V793353 = V278651 - 1. assign V081399 = V260195 - 1. assign V492352 = V515895 + 1. assign V844982 = V667423 - 1. assign V875126 = V936703. assign V679906 = V049255 + 1. assign V744980 = V112847 - 1. assign V720912 = V878848 + 1. assign V726745 = V737122 - 1. assign V978677 = V847212. assign V074314 = V129737 - 1. assign V769938 = V878848 - 1. assign V847212 = V163684 + 1. assign V662087 = V720912 + 1. assign V990852 = V743443. assign V468343 = V401030 - 1. assign V040145 = V132079 + 1. assign V904623 = V163684 + 1. assign V774918 = V654679 - 1. assign V113907 = V120599 - 1. assign V476268 = V468537 + 1. assign V573561 = V160037 - 1. assign V878848 = V468537 + 1. assign V621101 = V360344 + 1. assign V414110 = V597077. assign V480173 = V490416 - 1. assign V590045 = V120599 - 1. assign V957359 = V853620 + 1. assign V127489 = V212409 + 1. assign V936703 = V476268 + 1. assign V122497 = V621101 + 1. assign V798914 = V957359 + 1. assign V393347 = V757484 - 1. assign V360344 = V868605 - 1. assign V947109 = V813310 - 1. assign V281578 = V873396 + 1. assign V515233 = V857894 - 1. assign V700904 = V120599 - 1. assign V892204 = V624858 - 1. assign V566884 = V868605 + 1. assign V381193 = V720912 + 1. assign V853620 = V915341 + 1. assign V049255 = V667423. assign V320570 = V381193 - 1. assign V762848 = V857894 + 1. assign V880657 = V747127 + 1. assign V251606 = V769483 + 1. assign V757484 = V847212. assign V667423 = V152627. assign V911077 = V126599. assign V122435 = V868605. assign V113639 = V943727 + 1. assign V654679 = V414110 + 1. assign V947304 = V566884. assign V851591 = V701424 + 1. assign V198947 = V993866 + 1. assign V212409 = V476268 + 1. assign V132079 = V475376 - 1. assign V126599 = V427254 + 1. assign V185803 = V122497 + 1. assign V802288 = V122435 - 1. assign V858645 = V360344 - 1. assign V361527 = V129988 - 1. assign V967836 = V776608 - 1. assign V873396 = V514896 + 1. assign V498957 = V954953 - 1. assign V239628 = V396142. assign V813310 = V113639. assign V068781 = V714844 + 1. assign V295125 = V476268. assign V864016 = V131657 - 1. assign V868605 = V468537. assign V932617 = V865138. assign V701424 = V621101. assign V306774 = V239864 + 1. assign V210817 = V802288 - 1. assign V239864 = V597077 + 1. assign V620768 = V726745 - 1. assign V522893 = V381193. assign V163684 = V396142 + 1. assign V515895 = V470349. assign V108229 = V747127 - 1. assign V540211 = V160037 + 1. assign V315623 = V490416. assign V602513 = V381193 + 1. assign V622224 = V295125 + 1. assign V278651 = V904623. assign V867630 = V278651 + 1. assign V176410 = V309819 + 1. assign V606625 = V654679 - 1. assign V466496 = V132079 + 1. assign V490416 = V878848. assign V730571 = V239628 - 1. assign V290958 = V131657 + 1. assign V305538 = V864016. assign V427254 = V865138 + 1. assign V010753 = V751117 - 1. assign V883040 = V915341 - 1. assign V769483 = V868605 + 1. assign V624858 = V813310 + 1. assign V260195 = V932617. assign V152627 = V914592. assign V219757 = V851591 - 1. assign V026346 = V112847. assign V468537 = V427254. assign V967349 = V475376. assign V337145 = V427254 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV309819 = 8;\n\nFrom these direct assignment(s), we have: \nV176410 = V309819 + 1 = 8 + 1 =9;\nNo other variables can be derived from V176410;\nNo other variables can be derived from V309819;\n\nNow we have done all the calculations. Derived variables are:\nV309819 = 8;\nV176410 = 9;\n\nNow we have finished this problem. ANSWER:\nV176410\n", "role": "assistant" } ]

[ "V568801" ]

[ { "content": "<context>\nassign V960594 = V909452. assign V282751 = V823874 + 1. assign V870927 = V117246 - 1. assign V939284 = V378508. assign V507780 = V560107 + 1. assign V174435 = V358746 - 1. assign V777978 = V725524. assign V110800 = V374106 + 1. assign V099423 = V194621. assign V126406 = V249125 + 1. assign V624013 = V985768 - 1. assign V488366 = V117246 - 1. assign V439960 = V667011. assign V260538 = V139792 - 1. assign V805667 = V358746 - 1. assign V560107 = V905781 - 1. assign V584074 = V533032 - 1. assign V374149 = V842509 + 1. assign V527930 = V009983 + 1. assign V981494 = V942090 - 1. assign V256523 = V796347 + 1. assign V374106 = V249125 - 1. assign V580639 = V174435. assign V800954 = V281676. assign V303167 = V791150 + 1. assign V078260 = V439960. assign V476770 = V823874 + 1. assign V794739 = V319427. assign V559738 = V584074 + 1. assign V249125 = V256523. assign V046768 = V982548. assign V834401 = V698751. assign V796347 = V908591. assign V266701 = V842509. assign V363237 = V842509 - 1. assign V814214 = V821018 + 1. assign V533032 = V908591 - 1. assign V059450 = V912118 + 1. assign V816934 = V693622 - 1. assign V436076 = V920464. assign V232980 = V894070 - 1. assign V541480 = V908591 + 1. assign V083138 = V914664. assign V914664 = V219095 - 1. assign V568801 = 5. assign V693622 = V194621 + 1. assign V323422 = V598993 - 1. assign V000285 = V819202. assign V994728 = V078260 - 1. assign V912118 = V791150. assign V082122 = V194621. assign V866589 = V560107. assign V183817 = V960856. assign V899109 = V694338 + 1. assign V080331 = V095723. assign V982548 = V656909 - 1. assign V588684 = V083138. assign V791150 = V796347 + 1. assign V095723 = V139792 - 1. assign V587049 = V598993 + 1. assign V447789 = V819863 + 1. assign V155686 = V872101 + 1. assign V522355 = V796347 - 1. assign V468771 = V352599 - 1. assign V645399 = V905781 + 1. assign V986460 = V624013. assign V516265 = V260538. assign V679938 = V219095 - 1. assign V694338 = V084301. assign V942090 = V249125. assign V494249 = V194621 + 1. assign V194621 = V934162. assign V419948 = V522355 - 1. assign V097233 = V842509. assign V656909 = V533032. assign V585202 = V126406. assign V823874 = V920464 + 1. assign V279307 = V281676 - 1. assign V624213 = V232980 - 1. assign V358746 = V934162 + 1. assign V570767 = V556785 + 1. assign V872101 = V194621 - 1. assign V983995 = V082122. assign V982673 = V135464. assign V559274 = V776244. assign V429704 = V982673 - 1. assign V361161 = V013967 - 1. assign V821018 = V791150 - 1. assign V010529 = V254047 + 1. assign V958058 = V909452 - 1. assign V869194 = V905781. assign V518446 = V208100. assign V150845 = V374106. assign V219095 = V920464 - 1. assign V286700 = V983995. assign V667011 = V905781 + 1. assign V567171 = V443663 - 1. assign V894070 = V443663 + 1. assign V725524 = V821018 - 1. assign V049248 = V447789 - 1. assign V960856 = V866589 + 1. assign V192613 = V829526 - 1. assign V985768 = V260538 + 1. assign V719653 = V584074 + 1. assign V909452 = V174435 - 1. assign V982306 = V117246 - 1. assign V325417 = V095723 + 1. assign V556785 = V908591 - 1. assign V316627 = V908591 - 1. assign V829526 = V967868. assign V616011 = V208100 - 1. assign V693233 = V527930 + 1. assign V450912 = V084301 - 1. assign V383676 = V323422 + 1. assign V274712 = V282751 + 1. assign V201406 = V266701 + 1. assign V967066 = V391487. assign V285700 = V958058. assign V719793 = V374106 - 1. assign V565873 = V719793 - 1. assign V660715 = V095723. assign V417701 = V568801 + 1. assign V084301 = V912118 + 1. assign V352599 = V908591 - 1. assign V639318 = V570767. assign V319427 = V560107 + 1. assign V919415 = V985768. assign V979719 = V817679 - 1. assign V964662 = V905781 - 1. assign V911681 = V303167 + 1. assign V208100 = V097233 + 1. assign V819202 = V656909. assign V616419 = V645399 - 1. assign V936051 = V656909. assign V598993 = V541480 - 1. assign V181763 = V097233. assign V117246 = V842509 + 1. assign V853326 = V823874 - 1. assign V899481 = V325417 - 1. assign V698751 = V476770. assign V183247 = V256523 - 1. assign V583959 = V909452. assign V587346 = V583959. assign V391487 = V796347 + 1. assign V139792 = V556785. assign V009983 = V282751 - 1. assign V135464 = V112649. assign V149114 = V964662 + 1. assign V378508 = V419948 - 1. assign V112649 = V183247 - 1. assign V583000 = V374106 + 1. assign V872779 = V624013 - 1. assign V182100 = V507780 + 1. assign V905781 = V126406. assign V819863 = V823874. assign V776244 = V588684 - 1. assign V559618 = V983995 + 1. assign V072924 = V358746. assign V135719 = V174435 + 1. assign V967868 = V541480 + 1. assign V281676 = V323422. assign V817679 = V181763. assign V013967 = V249125 + 1. assign V934162 = V352599 - 1. assign V254047 = V651307. assign V651307 = V791150. assign V650139 = V117246 - 1. assign V920464 = V541480 + 1. assign V422204 = V719653. assign V842509 = V791150 + 1. assign V232136 = V476770 + 1. assign V443663 = V256523.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V960594 = V909452. assign V282751 = V823874 + 1. assign V870927 = V117246 - 1. assign V939284 = V378508. assign V507780 = V560107 + 1. assign V174435 = V358746 - 1. assign V777978 = V725524. assign V110800 = V374106 + 1. assign V099423 = V194621. assign V126406 = V249125 + 1. assign V624013 = V985768 - 1. assign V488366 = V117246 - 1. assign V439960 = V667011. assign V260538 = V139792 - 1. assign V805667 = V358746 - 1. assign V560107 = V905781 - 1. assign V584074 = V533032 - 1. assign V374149 = V842509 + 1. assign V527930 = V009983 + 1. assign V981494 = V942090 - 1. assign V256523 = V796347 + 1. assign V374106 = V249125 - 1. assign V580639 = V174435. assign V800954 = V281676. assign V303167 = V791150 + 1. assign V078260 = V439960. assign V476770 = V823874 + 1. assign V794739 = V319427. assign V559738 = V584074 + 1. assign V249125 = V256523. assign V046768 = V982548. assign V834401 = V698751. assign V796347 = V908591. assign V266701 = V842509. assign V363237 = V842509 - 1. assign V814214 = V821018 + 1. assign V533032 = V908591 - 1. assign V059450 = V912118 + 1. assign V816934 = V693622 - 1. assign V436076 = V920464. assign V232980 = V894070 - 1. assign V541480 = V908591 + 1. assign V083138 = V914664. assign V914664 = V219095 - 1. assign V568801 = 5. assign V693622 = V194621 + 1. assign V323422 = V598993 - 1. assign V000285 = V819202. assign V994728 = V078260 - 1. assign V912118 = V791150. assign V082122 = V194621. assign V866589 = V560107. assign V183817 = V960856. assign V899109 = V694338 + 1. assign V080331 = V095723. assign V982548 = V656909 - 1. assign V588684 = V083138. assign V791150 = V796347 + 1. assign V095723 = V139792 - 1. assign V587049 = V598993 + 1. assign V447789 = V819863 + 1. assign V155686 = V872101 + 1. assign V522355 = V796347 - 1. assign V468771 = V352599 - 1. assign V645399 = V905781 + 1. assign V986460 = V624013. assign V516265 = V260538. assign V679938 = V219095 - 1. assign V694338 = V084301. assign V942090 = V249125. assign V494249 = V194621 + 1. assign V194621 = V934162. assign V419948 = V522355 - 1. assign V097233 = V842509. assign V656909 = V533032. assign V585202 = V126406. assign V823874 = V920464 + 1. assign V279307 = V281676 - 1. assign V624213 = V232980 - 1. assign V358746 = V934162 + 1. assign V570767 = V556785 + 1. assign V872101 = V194621 - 1. assign V983995 = V082122. assign V982673 = V135464. assign V559274 = V776244. assign V429704 = V982673 - 1. assign V361161 = V013967 - 1. assign V821018 = V791150 - 1. assign V010529 = V254047 + 1. assign V958058 = V909452 - 1. assign V869194 = V905781. assign V518446 = V208100. assign V150845 = V374106. assign V219095 = V920464 - 1. assign V286700 = V983995. assign V667011 = V905781 + 1. assign V567171 = V443663 - 1. assign V894070 = V443663 + 1. assign V725524 = V821018 - 1. assign V049248 = V447789 - 1. assign V960856 = V866589 + 1. assign V192613 = V829526 - 1. assign V985768 = V260538 + 1. assign V719653 = V584074 + 1. assign V909452 = V174435 - 1. assign V982306 = V117246 - 1. assign V325417 = V095723 + 1. assign V556785 = V908591 - 1. assign V316627 = V908591 - 1. assign V829526 = V967868. assign V616011 = V208100 - 1. assign V693233 = V527930 + 1. assign V450912 = V084301 - 1. assign V383676 = V323422 + 1. assign V274712 = V282751 + 1. assign V201406 = V266701 + 1. assign V967066 = V391487. assign V285700 = V958058. assign V719793 = V374106 - 1. assign V565873 = V719793 - 1. assign V660715 = V095723. assign V417701 = V568801 + 1. assign V084301 = V912118 + 1. assign V352599 = V908591 - 1. assign V639318 = V570767. assign V319427 = V560107 + 1. assign V919415 = V985768. assign V979719 = V817679 - 1. assign V964662 = V905781 - 1. assign V911681 = V303167 + 1. assign V208100 = V097233 + 1. assign V819202 = V656909. assign V616419 = V645399 - 1. assign V936051 = V656909. assign V598993 = V541480 - 1. assign V181763 = V097233. assign V117246 = V842509 + 1. assign V853326 = V823874 - 1. assign V899481 = V325417 - 1. assign V698751 = V476770. assign V183247 = V256523 - 1. assign V583959 = V909452. assign V587346 = V583959. assign V391487 = V796347 + 1. assign V139792 = V556785. assign V009983 = V282751 - 1. assign V135464 = V112649. assign V149114 = V964662 + 1. assign V378508 = V419948 - 1. assign V112649 = V183247 - 1. assign V583000 = V374106 + 1. assign V872779 = V624013 - 1. assign V182100 = V507780 + 1. assign V905781 = V126406. assign V819863 = V823874. assign V776244 = V588684 - 1. assign V559618 = V983995 + 1. assign V072924 = V358746. assign V135719 = V174435 + 1. assign V967868 = V541480 + 1. assign V281676 = V323422. assign V817679 = V181763. assign V013967 = V249125 + 1. assign V934162 = V352599 - 1. assign V254047 = V651307. assign V651307 = V791150. assign V650139 = V117246 - 1. assign V920464 = V541480 + 1. assign V422204 = V719653. assign V842509 = V791150 + 1. assign V232136 = V476770 + 1. assign V443663 = V256523.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV568801 = 5;\n\nFrom these direct assignment(s), we have: \nV417701 = V568801 + 1 = 5 + 1 =6;\nNo other variables can be derived from V417701;\nNo other variables can be derived from V568801;\n\nNow we have done all the calculations. Derived variables are:\nV568801 = 5;\nV417701 = 6;\n\nNow we have finished this problem. ANSWER:\nV568801\n", "role": "assistant" } ]

[ "V643428", "V221078" ]

[ { "content": "<context>\nassign V518943 = V989610 + 1. assign V502941 = V134161 + 1. assign V765816 = V952322 - 1. assign V643428 = 2. assign V778414 = V087851. assign V434621 = V362515 + 1. assign V690691 = V711905. assign V741691 = V178569. assign V093904 = V893404 - 1. assign V158690 = V987961. assign V547548 = V757648 - 1. assign V559974 = V486222. assign V625893 = V899859 - 1. assign V486222 = V666944. assign V616414 = V776121 - 1. assign V667471 = V219206 + 1. assign V952322 = V776121. assign V142195 = V182923 + 1. assign V049583 = V219206 + 1. assign V353354 = V192115 - 1. assign V386557 = V747010 - 1. assign V448879 = V616155. assign V899859 = V719855. assign V098543 = V287766 - 1. assign V585488 = V594999 + 1. assign V609004 = V038848 + 1. assign V748005 = V426304 - 1. assign V466222 = V287766. assign V907265 = V251837. assign V302964 = V956383. assign V362515 = V747010. assign V319096 = V879072. assign V963392 = V459647 - 1. assign V066268 = V169986 - 1. assign V459647 = V251837 - 1. assign V804563 = V651953. assign V563714 = V711905 - 1. assign V685762 = V965126 - 1. assign V182923 = V989610. assign V997628 = V089113. assign V087851 = V616414. assign V146555 = V667889 + 1. assign V899329 = V980328. assign V266400 = V038848. assign V987961 = V980328 - 1. assign V356058 = V386557. assign V127871 = V459647 - 1. assign V757648 = V989610. assign V651953 = V459647. assign V397898 = V775581 - 1. assign V313475 = V989610 - 1. assign V099765 = V093904 - 1. assign V594999 = V625893. assign V136548 = V711905 - 1. assign V776121 = V178569 - 1. assign V974843 = V867316. assign V955989 = V899859. assign V264273 = V159104. assign V711905 = V146555 + 1. assign V457152 = V379480 - 1. assign V650285 = V146555. assign V958949 = V457416 - 1. assign V009097 = V459647 - 1. assign V867316 = V667359 + 1. assign V412750 = V163178 - 1. assign V667359 = V182923 + 1. assign V616155 = V146555. assign V781497 = V344269 + 1. assign V653949 = V609004 + 1. assign V666944 = V650285 + 1. assign V615801 = V963392 + 1. assign V298262 = V614368 - 1. assign V177773 = V251837 - 1. assign V038386 = V031651 + 1. assign V851833 = V266400 + 1. assign V823973 = V432832 + 1. assign V989610 = V893404 - 1. assign V885519 = V502941 + 1. assign V999776 = V820702. assign V987651 = V362515 + 1. assign V800970 = V287766 + 1. assign V615234 = V163178 + 1. assign V388313 = V765816 - 1. assign V821671 = V662551 + 1. assign V568206 = V432832 - 1. assign V221078 = V643428. assign V140748 = V386557 + 1. assign V838330 = V893404 + 1. assign V857520 = V955989 - 1. assign V897838 = V725434. assign V725434 = V952322. assign V003956 = V031651 + 1. assign V089113 = V459647 + 1. assign V031651 = V459647 - 1. assign V426304 = V146555. assign V228952 = V857520. assign V841545 = V182923. assign V193425 = V161926 + 1. assign V771275 = V857520 + 1. assign V432832 = V989610 - 1. assign V038848 = V323294. assign V178569 = V893404 - 1. assign V344269 = V667889. assign V457416 = V127871 - 1. assign V134161 = V178569. assign V590769 = V997628 + 1. assign V898799 = V899859 - 1. assign V545911 = V857520. assign V009566 = V651953 + 1. assign V381384 = V159104. assign V119425 = V309495 + 1. assign V066254 = V518943 + 1. assign V660360 = V899329 - 1. assign V279853 = V757648. assign V980328 = V459647 + 1. assign V817576 = V690691. assign V192115 = V502941 + 1. assign V046954 = V136548 + 1. assign V379480 = V038848 + 1. assign V580859 = V302964. assign V309495 = V666944 + 1. assign V163178 = V660360. assign V877635 = V907265 + 1. assign V169986 = V140748. assign V161926 = V319096 + 1. assign V965126 = V725434 + 1. assign V812957 = V163178. assign V956383 = V038848. assign V742015 = V516179. assign V887701 = V089113 + 1. assign V585295 = V057391 + 1. assign V747010 = V955989 + 1. assign V288421 = V898799 + 1. assign V477526 = V038386 + 1. assign V471410 = V434621 + 1. assign V287766 = V616414. assign V021669 = V146555. assign V621900 = V159104 + 1. assign V250648 = V432832. assign V463054 = V616155 + 1. assign V775581 = V980328. assign V895535 = V031651 - 1. assign V725286 = V877299 + 1. assign V879072 = V323294. assign V764616 = V179204 + 1. assign V877299 = V459647 + 1. assign V625417 = V667471. assign V942001 = V898799 - 1. assign V254087 = V897838. assign V769394 = V877299. assign V926821 = V838330 - 1. assign V412367 = V776121 + 1. assign V219206 = V776121 + 1. assign V740060 = V650285 - 1. assign V323294 = V955989 - 1. assign V582443 = V313475. assign V912275 = V987961 - 1. assign V267897 = V817576. assign V820702 = V353354 + 1. assign V179204 = V776121. assign V092241 = V660360 - 1. assign V057391 = V879072. assign V159104 = V502941. assign V319484 = V463054 + 1. assign V667889 = V893404 - 1. assign V959809 = V344269 + 1. assign V893404 = V719855. assign V350494 = V267897 + 1. assign V516179 = V907265 + 1. assign V251837 = V323294 + 1. assign V662551 = V288421 + 1. assign V614368 = V516179.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V518943 = V989610 + 1. assign V502941 = V134161 + 1. assign V765816 = V952322 - 1. assign V643428 = 2. assign V778414 = V087851. assign V434621 = V362515 + 1. assign V690691 = V711905. assign V741691 = V178569. assign V093904 = V893404 - 1. assign V158690 = V987961. assign V547548 = V757648 - 1. assign V559974 = V486222. assign V625893 = V899859 - 1. assign V486222 = V666944. assign V616414 = V776121 - 1. assign V667471 = V219206 + 1. assign V952322 = V776121. assign V142195 = V182923 + 1. assign V049583 = V219206 + 1. assign V353354 = V192115 - 1. assign V386557 = V747010 - 1. assign V448879 = V616155. assign V899859 = V719855. assign V098543 = V287766 - 1. assign V585488 = V594999 + 1. assign V609004 = V038848 + 1. assign V748005 = V426304 - 1. assign V466222 = V287766. assign V907265 = V251837. assign V302964 = V956383. assign V362515 = V747010. assign V319096 = V879072. assign V963392 = V459647 - 1. assign V066268 = V169986 - 1. assign V459647 = V251837 - 1. assign V804563 = V651953. assign V563714 = V711905 - 1. assign V685762 = V965126 - 1. assign V182923 = V989610. assign V997628 = V089113. assign V087851 = V616414. assign V146555 = V667889 + 1. assign V899329 = V980328. assign V266400 = V038848. assign V987961 = V980328 - 1. assign V356058 = V386557. assign V127871 = V459647 - 1. assign V757648 = V989610. assign V651953 = V459647. assign V397898 = V775581 - 1. assign V313475 = V989610 - 1. assign V099765 = V093904 - 1. assign V594999 = V625893. assign V136548 = V711905 - 1. assign V776121 = V178569 - 1. assign V974843 = V867316. assign V955989 = V899859. assign V264273 = V159104. assign V711905 = V146555 + 1. assign V457152 = V379480 - 1. assign V650285 = V146555. assign V958949 = V457416 - 1. assign V009097 = V459647 - 1. assign V867316 = V667359 + 1. assign V412750 = V163178 - 1. assign V667359 = V182923 + 1. assign V616155 = V146555. assign V781497 = V344269 + 1. assign V653949 = V609004 + 1. assign V666944 = V650285 + 1. assign V615801 = V963392 + 1. assign V298262 = V614368 - 1. assign V177773 = V251837 - 1. assign V038386 = V031651 + 1. assign V851833 = V266400 + 1. assign V823973 = V432832 + 1. assign V989610 = V893404 - 1. assign V885519 = V502941 + 1. assign V999776 = V820702. assign V987651 = V362515 + 1. assign V800970 = V287766 + 1. assign V615234 = V163178 + 1. assign V388313 = V765816 - 1. assign V821671 = V662551 + 1. assign V568206 = V432832 - 1. assign V221078 = V643428. assign V140748 = V386557 + 1. assign V838330 = V893404 + 1. assign V857520 = V955989 - 1. assign V897838 = V725434. assign V725434 = V952322. assign V003956 = V031651 + 1. assign V089113 = V459647 + 1. assign V031651 = V459647 - 1. assign V426304 = V146555. assign V228952 = V857520. assign V841545 = V182923. assign V193425 = V161926 + 1. assign V771275 = V857520 + 1. assign V432832 = V989610 - 1. assign V038848 = V323294. assign V178569 = V893404 - 1. assign V344269 = V667889. assign V457416 = V127871 - 1. assign V134161 = V178569. assign V590769 = V997628 + 1. assign V898799 = V899859 - 1. assign V545911 = V857520. assign V009566 = V651953 + 1. assign V381384 = V159104. assign V119425 = V309495 + 1. assign V066254 = V518943 + 1. assign V660360 = V899329 - 1. assign V279853 = V757648. assign V980328 = V459647 + 1. assign V817576 = V690691. assign V192115 = V502941 + 1. assign V046954 = V136548 + 1. assign V379480 = V038848 + 1. assign V580859 = V302964. assign V309495 = V666944 + 1. assign V163178 = V660360. assign V877635 = V907265 + 1. assign V169986 = V140748. assign V161926 = V319096 + 1. assign V965126 = V725434 + 1. assign V812957 = V163178. assign V956383 = V038848. assign V742015 = V516179. assign V887701 = V089113 + 1. assign V585295 = V057391 + 1. assign V747010 = V955989 + 1. assign V288421 = V898799 + 1. assign V477526 = V038386 + 1. assign V471410 = V434621 + 1. assign V287766 = V616414. assign V021669 = V146555. assign V621900 = V159104 + 1. assign V250648 = V432832. assign V463054 = V616155 + 1. assign V775581 = V980328. assign V895535 = V031651 - 1. assign V725286 = V877299 + 1. assign V879072 = V323294. assign V764616 = V179204 + 1. assign V877299 = V459647 + 1. assign V625417 = V667471. assign V942001 = V898799 - 1. assign V254087 = V897838. assign V769394 = V877299. assign V926821 = V838330 - 1. assign V412367 = V776121 + 1. assign V219206 = V776121 + 1. assign V740060 = V650285 - 1. assign V323294 = V955989 - 1. assign V582443 = V313475. assign V912275 = V987961 - 1. assign V267897 = V817576. assign V820702 = V353354 + 1. assign V179204 = V776121. assign V092241 = V660360 - 1. assign V057391 = V879072. assign V159104 = V502941. assign V319484 = V463054 + 1. assign V667889 = V893404 - 1. assign V959809 = V344269 + 1. assign V893404 = V719855. assign V350494 = V267897 + 1. assign V516179 = V907265 + 1. assign V251837 = V323294 + 1. assign V662551 = V288421 + 1. assign V614368 = V516179.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV643428 = 2;\n\nFrom these direct assignment(s), we have: \nV221078 = V643428 = 2;\nNo other variables can be derived from V221078;\nNo other variables can be derived from V643428;\n\nNow we have done all the calculations. Derived variables are:\nV643428 = 2;\nV221078 = 2;\n\nNow we have finished this problem. ANSWER:\nV643428, V221078\n", "role": "assistant" } ]

[ "V516781", "V973938" ]

[ { "content": "<context>\nassign V966566 = V349571 - 1. assign V246199 = V637928 + 1. assign V997218 = V704227 - 1. assign V930095 = V876415 - 1. assign V236468 = V645621 + 1. assign V698323 = V907966 - 1. assign V390392 = V966566 + 1. assign V704227 = V043529 + 1. assign V507940 = V122940 + 1. assign V815164 = V704227 + 1. assign V735450 = V098724 + 1. assign V251709 = V749673 + 1. assign V542088 = V131760 + 1. assign V272529 = V368599. assign V509274 = V870090 - 1. assign V403642 = V132859. assign V562160 = V272529 - 1. assign V392103 = V166667 + 1. assign V988160 = V320206 + 1. assign V999805 = V349571 + 1. assign V402780 = V800059 - 1. assign V737438 = V859016 - 1. assign V876415 = V368599 - 1. assign V563703 = V460362 - 1. assign V166667 = V651552. assign V736832 = V284125 - 1. assign V408959 = V539100 + 1. assign V832442 = V853833 + 1. assign V394618 = V356312. assign V620610 = V165520 + 1. assign V317361 = V260340 + 1. assign V489917 = V907488 + 1. assign V119164 = V194033. assign V775703 = V651552 - 1. assign V030005 = V118735 - 1. assign V651552 = V793648 + 1. assign V122940 = V599045 + 1. assign V777707 = V845993 + 1. assign V068312 = V539100 + 1. assign V870875 = V080719 - 1. assign V206687 = V827364 + 1. assign V815874 = V408959. assign V118735 = V695362 - 1. assign V354566 = V161992 + 1. assign V027734 = V309621 + 1. assign V098724 = V272529 + 1. assign V539100 = V224433 - 1. assign V624618 = V165520 - 1. assign V853833 = V471385. assign V666633 = V356312 + 1. assign V637928 = V550661 - 1. assign V669481 = V704227 - 1. assign V067091 = V695362 - 1. assign V478357 = V980366 + 1. assign V368599 = V563703. assign V224433 = V460362. assign V131760 = V471385 - 1. assign V764166 = V660379. assign V519581 = V859016. assign V449413 = V519581 - 1. assign V560376 = V080719. assign V346411 = V368599 - 1. assign V996249 = V073685 - 1. assign V870090 = V320206 - 1. assign V958565 = V795548. assign V400537 = V478357 + 1. assign V357146 = V122940. assign V844480 = V047325 + 1. assign V124072 = V132859. assign V356312 = V563703 - 1. assign V161992 = V408959 + 1. assign V980674 = V251709. assign V274474 = V047325. assign V645621 = V507940. assign V652849 = V030005 - 1. assign V440974 = V328388 - 1. assign V267865 = V651552. assign V981379 = V652173 + 1. assign V980366 = V599045 + 1. assign V486173 = V043529 - 1. assign V080719 = V224433. assign V724079 = V267865 + 1. assign V749673 = V047325. assign V820193 = V236468 - 1. assign V367377 = V349571. assign V587908 = V519581 - 1. assign V609422 = V907488 - 1. assign V093925 = V311427 - 1. assign V411321 = V194033 + 1. assign V854406 = V803934. assign V044128 = V043529 + 1. assign V177703 = V651552 - 1. assign V638582 = V801582 - 1. assign V020325 = V859016 + 1. assign V695445 = V368599. assign V687451 = V224433. assign V786730 = V660379 - 1. assign V309621 = V028262 - 1. assign V801582 = V824995. assign V907966 = V165520 + 1. assign V043529 = V460362 - 1. assign V658819 = V824995. assign V757839 = V793648 - 1. assign V585310 = V695362 - 1. assign V165520 = V669481 + 1. assign V584216 = V519581 + 1. assign V853212 = V749673 + 1. assign V235427 = V349571 + 1. assign V311427 = V550661. assign V489728 = V460362. assign V806415 = V931313. assign V132859 = V408959. assign V460362 = V471385 - 1. assign V158198 = V980366 + 1. assign V328388 = V876415 - 1. assign V455639 = V354566 + 1. assign V944567 = V824995 - 1. assign V073685 = V845993. assign V260340 = V161992 - 1. assign V194033 = V966566 - 1. assign V864777 = V669481 - 1. assign V516781 = 2. assign V357158 = V161992 - 1. assign V566479 = V980366 + 1. assign V795548 = V118735 + 1. assign V824995 = V550661 + 1. assign V175997 = V486173. assign V695362 = V471385. assign V320206 = V349571 + 1. assign V226111 = V608121 + 1. assign V973938 = V516781. assign V845993 = V043529 - 1. assign V295947 = V449413. assign V955000 = V449413 + 1. assign V426876 = V175997 - 1. assign V550661 = V043529 - 1. assign V599045 = V460362 + 1. assign V315359 = V311427. assign V953405 = V177703. assign V472384 = V815164 + 1. assign V652173 = V658819 - 1. assign V827364 = V853833. assign V660379 = V747652 - 1. assign V762074 = V658819 + 1. assign V076297 = V166667. assign V349571 = V043529 - 1. assign V449626 = V695362 - 1. assign V714965 = V724079 - 1. assign V819535 = V356312 + 1. assign V803934 = V449626 - 1. assign V626197 = V820193. assign V614772 = V907488. assign V235501 = V309621. assign V747652 = V043529 - 1. assign V608121 = V309621. assign V411545 = V542088 + 1. assign V859016 = V224433. assign V047325 = V550661. assign V028262 = V356312 - 1. assign V931313 = V620610. assign V629197 = V044128 - 1. assign V769550 = V587908. assign V942216 = V402780 + 1. assign V667375 = V845993. assign V875391 = V356312. assign V793648 = V844480 + 1. assign V284125 = V272529 + 1. assign V800059 = V471385 - 1. assign V970639 = V587908 - 1. assign V907488 = V408959 - 1. assign V858569 = V267865 + 1. assign V167613 = V122940.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V966566 = V349571 - 1. assign V246199 = V637928 + 1. assign V997218 = V704227 - 1. assign V930095 = V876415 - 1. assign V236468 = V645621 + 1. assign V698323 = V907966 - 1. assign V390392 = V966566 + 1. assign V704227 = V043529 + 1. assign V507940 = V122940 + 1. assign V815164 = V704227 + 1. assign V735450 = V098724 + 1. assign V251709 = V749673 + 1. assign V542088 = V131760 + 1. assign V272529 = V368599. assign V509274 = V870090 - 1. assign V403642 = V132859. assign V562160 = V272529 - 1. assign V392103 = V166667 + 1. assign V988160 = V320206 + 1. assign V999805 = V349571 + 1. assign V402780 = V800059 - 1. assign V737438 = V859016 - 1. assign V876415 = V368599 - 1. assign V563703 = V460362 - 1. assign V166667 = V651552. assign V736832 = V284125 - 1. assign V408959 = V539100 + 1. assign V832442 = V853833 + 1. assign V394618 = V356312. assign V620610 = V165520 + 1. assign V317361 = V260340 + 1. assign V489917 = V907488 + 1. assign V119164 = V194033. assign V775703 = V651552 - 1. assign V030005 = V118735 - 1. assign V651552 = V793648 + 1. assign V122940 = V599045 + 1. assign V777707 = V845993 + 1. assign V068312 = V539100 + 1. assign V870875 = V080719 - 1. assign V206687 = V827364 + 1. assign V815874 = V408959. assign V118735 = V695362 - 1. assign V354566 = V161992 + 1. assign V027734 = V309621 + 1. assign V098724 = V272529 + 1. assign V539100 = V224433 - 1. assign V624618 = V165520 - 1. assign V853833 = V471385. assign V666633 = V356312 + 1. assign V637928 = V550661 - 1. assign V669481 = V704227 - 1. assign V067091 = V695362 - 1. assign V478357 = V980366 + 1. assign V368599 = V563703. assign V224433 = V460362. assign V131760 = V471385 - 1. assign V764166 = V660379. assign V519581 = V859016. assign V449413 = V519581 - 1. assign V560376 = V080719. assign V346411 = V368599 - 1. assign V996249 = V073685 - 1. assign V870090 = V320206 - 1. assign V958565 = V795548. assign V400537 = V478357 + 1. assign V357146 = V122940. assign V844480 = V047325 + 1. assign V124072 = V132859. assign V356312 = V563703 - 1. assign V161992 = V408959 + 1. assign V980674 = V251709. assign V274474 = V047325. assign V645621 = V507940. assign V652849 = V030005 - 1. assign V440974 = V328388 - 1. assign V267865 = V651552. assign V981379 = V652173 + 1. assign V980366 = V599045 + 1. assign V486173 = V043529 - 1. assign V080719 = V224433. assign V724079 = V267865 + 1. assign V749673 = V047325. assign V820193 = V236468 - 1. assign V367377 = V349571. assign V587908 = V519581 - 1. assign V609422 = V907488 - 1. assign V093925 = V311427 - 1. assign V411321 = V194033 + 1. assign V854406 = V803934. assign V044128 = V043529 + 1. assign V177703 = V651552 - 1. assign V638582 = V801582 - 1. assign V020325 = V859016 + 1. assign V695445 = V368599. assign V687451 = V224433. assign V786730 = V660379 - 1. assign V309621 = V028262 - 1. assign V801582 = V824995. assign V907966 = V165520 + 1. assign V043529 = V460362 - 1. assign V658819 = V824995. assign V757839 = V793648 - 1. assign V585310 = V695362 - 1. assign V165520 = V669481 + 1. assign V584216 = V519581 + 1. assign V853212 = V749673 + 1. assign V235427 = V349571 + 1. assign V311427 = V550661. assign V489728 = V460362. assign V806415 = V931313. assign V132859 = V408959. assign V460362 = V471385 - 1. assign V158198 = V980366 + 1. assign V328388 = V876415 - 1. assign V455639 = V354566 + 1. assign V944567 = V824995 - 1. assign V073685 = V845993. assign V260340 = V161992 - 1. assign V194033 = V966566 - 1. assign V864777 = V669481 - 1. assign V516781 = 2. assign V357158 = V161992 - 1. assign V566479 = V980366 + 1. assign V795548 = V118735 + 1. assign V824995 = V550661 + 1. assign V175997 = V486173. assign V695362 = V471385. assign V320206 = V349571 + 1. assign V226111 = V608121 + 1. assign V973938 = V516781. assign V845993 = V043529 - 1. assign V295947 = V449413. assign V955000 = V449413 + 1. assign V426876 = V175997 - 1. assign V550661 = V043529 - 1. assign V599045 = V460362 + 1. assign V315359 = V311427. assign V953405 = V177703. assign V472384 = V815164 + 1. assign V652173 = V658819 - 1. assign V827364 = V853833. assign V660379 = V747652 - 1. assign V762074 = V658819 + 1. assign V076297 = V166667. assign V349571 = V043529 - 1. assign V449626 = V695362 - 1. assign V714965 = V724079 - 1. assign V819535 = V356312 + 1. assign V803934 = V449626 - 1. assign V626197 = V820193. assign V614772 = V907488. assign V235501 = V309621. assign V747652 = V043529 - 1. assign V608121 = V309621. assign V411545 = V542088 + 1. assign V859016 = V224433. assign V047325 = V550661. assign V028262 = V356312 - 1. assign V931313 = V620610. assign V629197 = V044128 - 1. assign V769550 = V587908. assign V942216 = V402780 + 1. assign V667375 = V845993. assign V875391 = V356312. assign V793648 = V844480 + 1. assign V284125 = V272529 + 1. assign V800059 = V471385 - 1. assign V970639 = V587908 - 1. assign V907488 = V408959 - 1. assign V858569 = V267865 + 1. assign V167613 = V122940.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV516781 = 2;\n\nFrom these direct assignment(s), we have: \nV973938 = V516781 = 2;\nNo other variables can be derived from V973938;\nNo other variables can be derived from V516781;\n\nNow we have done all the calculations. Derived variables are:\nV516781 = 2;\nV973938 = 2;\n\nNow we have finished this problem. ANSWER:\nV516781, V973938\n", "role": "assistant" } ]

[ "V116265", "V812063" ]

[ { "content": "<context>\nassign V417106 = V384467. assign V336144 = V536022 - 1. assign V022458 = V212086. assign V845327 = V794648. assign V874717 = V165075 - 1. assign V227738 = V222798 - 1. assign V579709 = V280354. assign V878132 = V933219. assign V942956 = V396184. assign V969059 = V773809 + 1. assign V405862 = V449561 - 1. assign V384467 = V529558. assign V097676 = V975204 + 1. assign V949833 = V049915 - 1. assign V162043 = V777142. assign V668593 = V384467 + 1. assign V751020 = V668593 - 1. assign V222798 = V108863. assign V912076 = V384467. assign V056967 = V351725 + 1. assign V439637 = V579709. assign V896650 = V957606 + 1. assign V051568 = V415335 - 1. assign V388069 = V179402 - 1. assign V957606 = V505491 - 1. assign V078633 = V163903 - 1. assign V469029 = V751020 - 1. assign V162810 = V022688 + 1. assign V651642 = V930774 - 1. assign V685989 = V921471 + 1. assign V230802 = V520472 - 1. assign V715673 = V912076 + 1. assign V449561 = V469029. assign V741308 = V417106 + 1. assign V936596 = V022458 - 1. assign V313066 = V183894. assign V494816 = V588094. assign V789484 = V032240. assign V897647 = V529558 + 1. assign V534023 = V062992 + 1. assign V794648 = V529558. assign V038215 = V722605. assign V536022 = V675154 + 1. assign V419138 = V049530. assign V246023 = V529558 - 1. assign V224553 = V670931 - 1. assign V108019 = V194487. assign V022688 = V536022. assign V750175 = V957606 + 1. assign V980635 = V520472 + 1. assign V954823 = V022458. assign V887229 = V751020 + 1. assign V190494 = V331620 + 1. assign V116265 = 10. assign V127147 = V520472 + 1. assign V670931 = V856039 + 1. assign V622468 = V062992. assign V558750 = V505491 + 1. assign V935555 = V176068 + 1. assign V713050 = V916560 - 1. assign V724766 = V336144 + 1. assign V662051 = V794648 - 1. assign V049915 = V954823. assign V139786 = V212086 - 1. assign V331620 = V534023 - 1. assign V860335 = V162043. assign V988446 = V045714. assign V032240 = V417106 + 1. assign V717297 = V212086 + 1. assign V895488 = V954823 + 1. assign V163903 = V141635 - 1. assign V058263 = V176068 - 1. assign V684532 = V579709. assign V006397 = V022688 - 1. assign V773809 = V668593. assign V397181 = V794648. assign V234433 = V936596 + 1. assign V396993 = V777142. assign V050711 = V417106. assign V236086 = V405862 + 1. assign V602149 = V176068 + 1. assign V037008 = V033197 + 1. assign V094072 = V032240 + 1. assign V588094 = V966358. assign V134443 = V162810. assign V856039 = V194487 + 1. assign V780464 = V190501 - 1. assign V505491 = V794648 + 1. assign V384649 = V415335 + 1. assign V933219 = V258566. assign V062992 = V602149 + 1. assign V343240 = V442113. assign V304670 = V966358. assign V963727 = V240632 - 1. assign V194487 = V897647 + 1. assign V006616 = V212086 - 1. assign V179402 = V212086 - 1. assign V921471 = V006616 - 1. assign V165075 = V794648 + 1. assign V441041 = V536022 - 1. assign V288602 = V773809 + 1. assign V722605 = V529558 + 1. assign V812063 = V116265. assign V930774 = V212086. assign V255143 = V032240 - 1. assign V948826 = V794648 + 1. assign V150026 = V139786 + 1. assign V043942 = V176068. assign V129510 = V773809. assign V283270 = V190494 - 1. assign V683231 = V588349 + 1. assign V155370 = V897647 + 1. assign V731275 = V897647 - 1. assign V181175 = V520472. assign V415335 = V183894. assign V975204 = V176068. assign V675154 = V165075. assign V180257 = V935555. assign V267806 = V150026 - 1. assign V777142 = V719719 + 1. assign V839404 = V150026 + 1. assign V606603 = V912076 - 1. assign V540128 = V288602. assign V778586 = V627479 + 1. assign V585379 = V773809 + 1. assign V719719 = V685550 - 1. assign V212086 = V529558. assign V552421 = V505491. assign V141635 = V540128 + 1. assign V724724 = V152502 - 1. assign V176068 = V668593 - 1. assign V580034 = V165075. assign V396184 = V794648 + 1. assign V913941 = V351725. assign V190501 = V384467 + 1. assign V607341 = V388069 - 1. assign V183894 = V540128. assign V131066 = V713050 - 1. assign V966358 = V139786 + 1. assign V588349 = V396993 + 1. assign V648491 = V224553. assign V517903 = V685989 - 1. assign V152502 = V417106 - 1. assign V840583 = V062992. assign V049530 = V969059 + 1. assign V692385 = V949833. assign V873872 = V127147 - 1. assign V667018 = V777142 + 1. assign V002193 = V396184 - 1. assign V045714 = V540128 - 1. assign V465445 = V627479 - 1. assign V598392 = V588094 + 1. assign V159001 = V750175 - 1. assign V351725 = V183894 + 1. assign V899035 = V032240 + 1. assign V916560 = V258566. assign V138188 = V957606. assign V034635 = V033197 + 1. assign V033197 = V288602 + 1. assign V627479 = V493644 + 1. assign V493644 = V396184. assign V280354 = V493644 + 1. assign V115767 = V856039 - 1. assign V685550 = V165075. assign V520472 = V794648 - 1. assign V435138 = V856039 + 1. assign V108863 = V668593 - 1. assign V442113 = V975204 - 1. assign V240632 = V966358 - 1. assign V318137 = V449561 - 1. assign V258566 = V417106 - 1. assign V361181 = V685550 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V417106 = V384467. assign V336144 = V536022 - 1. assign V022458 = V212086. assign V845327 = V794648. assign V874717 = V165075 - 1. assign V227738 = V222798 - 1. assign V579709 = V280354. assign V878132 = V933219. assign V942956 = V396184. assign V969059 = V773809 + 1. assign V405862 = V449561 - 1. assign V384467 = V529558. assign V097676 = V975204 + 1. assign V949833 = V049915 - 1. assign V162043 = V777142. assign V668593 = V384467 + 1. assign V751020 = V668593 - 1. assign V222798 = V108863. assign V912076 = V384467. assign V056967 = V351725 + 1. assign V439637 = V579709. assign V896650 = V957606 + 1. assign V051568 = V415335 - 1. assign V388069 = V179402 - 1. assign V957606 = V505491 - 1. assign V078633 = V163903 - 1. assign V469029 = V751020 - 1. assign V162810 = V022688 + 1. assign V651642 = V930774 - 1. assign V685989 = V921471 + 1. assign V230802 = V520472 - 1. assign V715673 = V912076 + 1. assign V449561 = V469029. assign V741308 = V417106 + 1. assign V936596 = V022458 - 1. assign V313066 = V183894. assign V494816 = V588094. assign V789484 = V032240. assign V897647 = V529558 + 1. assign V534023 = V062992 + 1. assign V794648 = V529558. assign V038215 = V722605. assign V536022 = V675154 + 1. assign V419138 = V049530. assign V246023 = V529558 - 1. assign V224553 = V670931 - 1. assign V108019 = V194487. assign V022688 = V536022. assign V750175 = V957606 + 1. assign V980635 = V520472 + 1. assign V954823 = V022458. assign V887229 = V751020 + 1. assign V190494 = V331620 + 1. assign V116265 = 10. assign V127147 = V520472 + 1. assign V670931 = V856039 + 1. assign V622468 = V062992. assign V558750 = V505491 + 1. assign V935555 = V176068 + 1. assign V713050 = V916560 - 1. assign V724766 = V336144 + 1. assign V662051 = V794648 - 1. assign V049915 = V954823. assign V139786 = V212086 - 1. assign V331620 = V534023 - 1. assign V860335 = V162043. assign V988446 = V045714. assign V032240 = V417106 + 1. assign V717297 = V212086 + 1. assign V895488 = V954823 + 1. assign V163903 = V141635 - 1. assign V058263 = V176068 - 1. assign V684532 = V579709. assign V006397 = V022688 - 1. assign V773809 = V668593. assign V397181 = V794648. assign V234433 = V936596 + 1. assign V396993 = V777142. assign V050711 = V417106. assign V236086 = V405862 + 1. assign V602149 = V176068 + 1. assign V037008 = V033197 + 1. assign V094072 = V032240 + 1. assign V588094 = V966358. assign V134443 = V162810. assign V856039 = V194487 + 1. assign V780464 = V190501 - 1. assign V505491 = V794648 + 1. assign V384649 = V415335 + 1. assign V933219 = V258566. assign V062992 = V602149 + 1. assign V343240 = V442113. assign V304670 = V966358. assign V963727 = V240632 - 1. assign V194487 = V897647 + 1. assign V006616 = V212086 - 1. assign V179402 = V212086 - 1. assign V921471 = V006616 - 1. assign V165075 = V794648 + 1. assign V441041 = V536022 - 1. assign V288602 = V773809 + 1. assign V722605 = V529558 + 1. assign V812063 = V116265. assign V930774 = V212086. assign V255143 = V032240 - 1. assign V948826 = V794648 + 1. assign V150026 = V139786 + 1. assign V043942 = V176068. assign V129510 = V773809. assign V283270 = V190494 - 1. assign V683231 = V588349 + 1. assign V155370 = V897647 + 1. assign V731275 = V897647 - 1. assign V181175 = V520472. assign V415335 = V183894. assign V975204 = V176068. assign V675154 = V165075. assign V180257 = V935555. assign V267806 = V150026 - 1. assign V777142 = V719719 + 1. assign V839404 = V150026 + 1. assign V606603 = V912076 - 1. assign V540128 = V288602. assign V778586 = V627479 + 1. assign V585379 = V773809 + 1. assign V719719 = V685550 - 1. assign V212086 = V529558. assign V552421 = V505491. assign V141635 = V540128 + 1. assign V724724 = V152502 - 1. assign V176068 = V668593 - 1. assign V580034 = V165075. assign V396184 = V794648 + 1. assign V913941 = V351725. assign V190501 = V384467 + 1. assign V607341 = V388069 - 1. assign V183894 = V540128. assign V131066 = V713050 - 1. assign V966358 = V139786 + 1. assign V588349 = V396993 + 1. assign V648491 = V224553. assign V517903 = V685989 - 1. assign V152502 = V417106 - 1. assign V840583 = V062992. assign V049530 = V969059 + 1. assign V692385 = V949833. assign V873872 = V127147 - 1. assign V667018 = V777142 + 1. assign V002193 = V396184 - 1. assign V045714 = V540128 - 1. assign V465445 = V627479 - 1. assign V598392 = V588094 + 1. assign V159001 = V750175 - 1. assign V351725 = V183894 + 1. assign V899035 = V032240 + 1. assign V916560 = V258566. assign V138188 = V957606. assign V034635 = V033197 + 1. assign V033197 = V288602 + 1. assign V627479 = V493644 + 1. assign V493644 = V396184. assign V280354 = V493644 + 1. assign V115767 = V856039 - 1. assign V685550 = V165075. assign V520472 = V794648 - 1. assign V435138 = V856039 + 1. assign V108863 = V668593 - 1. assign V442113 = V975204 - 1. assign V240632 = V966358 - 1. assign V318137 = V449561 - 1. assign V258566 = V417106 - 1. assign V361181 = V685550 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV116265 = 10;\n\nFrom these direct assignment(s), we have: \nV812063 = V116265 = 10;\nNo other variables can be derived from V812063;\nNo other variables can be derived from V116265;\n\nNow we have done all the calculations. Derived variables are:\nV116265 = 10;\nV812063 = 10;\n\nNow we have finished this problem. ANSWER:\nV116265, V812063\n", "role": "assistant" } ]

[ "V828402", "V234073" ]

[ { "content": "<context>\nassign V912078 = V486699 + 1. assign V279981 = V824339 - 1. assign V393182 = V470862. assign V515007 = V667626 + 1. assign V650059 = V273685 + 1. assign V198567 = V444469 + 1. assign V557322 = V388147. assign V299442 = V591455. assign V045221 = V958383 - 1. assign V520778 = V922744 + 1. assign V944176 = V336052 + 1. assign V091340 = V976617. assign V770021 = V299442 - 1. assign V892092 = V246751. assign V706393 = V299579 - 1. assign V291874 = V890247 + 1. assign V747409 = V065443 - 1. assign V891035 = V388147 - 1. assign V308856 = V052634 - 1. assign V222465 = V816422. assign V982720 = V299442 - 1. assign V952054 = V770021. assign V359757 = V409034 + 1. assign V283113 = V922744. assign V518443 = V444469. assign V070506 = V591455 + 1. assign V591455 = V976617 - 1. assign V044571 = V444469 + 1. assign V809255 = V091340 + 1. assign V273685 = V228005 + 1. assign V760850 = V981356 + 1. assign V303181 = V065443 - 1. assign V403450 = V520778. assign V332294 = V336052. assign V200148 = V938139 - 1. assign V693772 = V645418 + 1. assign V591783 = V470862 - 1. assign V232842 = V261198 - 1. assign V377577 = V546986. assign V121954 = V204766. assign V888525 = V334811 - 1. assign V599906 = V370040 - 1. assign V895711 = V952666 - 1. assign V922744 = V976617 + 1. assign V228005 = V748127 - 1. assign V395367 = V228005. assign V503915 = V824339. assign V246751 = V693772 + 1. assign V334811 = V185920. assign V988953 = V299442 - 1. assign V550883 = V920474 - 1. assign V135006 = V052634 - 1. assign V619423 = V571678 - 1. assign V370376 = V201734. assign V799605 = V228005 + 1. assign V279126 = V135006 + 1. assign V294970 = V984616 + 1. assign V329004 = V984616 - 1. assign V183545 = V518443 + 1. assign V724691 = V591455 - 1. assign V418025 = V276125 - 1. assign V192691 = V515007. assign V327732 = V486699. assign V906658 = V687405. assign V077504 = V591783 - 1. assign V456328 = V976617. assign V185920 = V370376 + 1. assign V444469 = V922744 + 1. assign V351549 = V503915 - 1. assign V656635 = V185920 + 1. assign V306051 = V201734 + 1. assign V231488 = V261198. assign V824339 = V409034. assign V833964 = V856997 + 1. assign V128667 = V976617 + 1. assign V470862 = V495526 - 1. assign V257299 = V747409 - 1. assign V052634 = V724691 + 1. assign V415079 = V052634. assign V917082 = V890247. assign V352308 = V922744 - 1. assign V259507 = V359757. assign V686635 = V299442. assign V234073 = V828402. assign V814177 = V294970 - 1. assign V999854 = V976617 - 1. assign V976617 = V486416. assign V225373 = V976617 - 1. assign V388147 = V591783 + 1. assign V276125 = V976617 - 1. assign V382360 = V283113 - 1. assign V200129 = V619423. assign V465046 = V065443 + 1. assign V626548 = V747302. assign V785246 = V686635 - 1. assign V748992 = V778636 - 1. assign V299579 = V724691 + 1. assign V816422 = V892092 - 1. assign V830577 = V070506 + 1. assign V375357 = V352308 - 1. assign V706345 = V370376 + 1. assign V367968 = V393182 + 1. assign V748127 = V495526. assign V915542 = V976617. assign V495526 = V261198 + 1. assign V522754 = V099709. assign V958383 = V273685 - 1. assign V280512 = V377577 - 1. assign V481647 = V486699 + 1. assign V622575 = V308856 + 1. assign V404435 = V976617. assign V546986 = V486416 - 1. assign V453948 = V481647 - 1. assign V685421 = V760850 + 1. assign V247407 = V529779 + 1. assign V571678 = V724691 + 1. assign V711578 = V359757 + 1. assign V411453 = V571678. assign V665207 = V225373 + 1. assign V201734 = V982720 + 1. assign V065443 = V393182 - 1. assign V080839 = V571678. assign V378125 = V393182. assign V483058 = V816422 - 1. assign V099709 = V257299. assign V173303 = V495526 - 1. assign V186350 = V279126 + 1. assign V336052 = V938139 + 1. assign V934086 = V645418. assign V778636 = V259507 - 1. assign V008003 = V724691 - 1. assign V717507 = V359757. assign V196910 = V173303 + 1. assign V370040 = V958383 - 1. assign V486699 = V486416. assign V350946 = V667626 + 1. assign V890247 = V065443. assign V404294 = V686635. assign V747302 = V984616 - 1. assign V366711 = V135006 + 1. assign V070742 = V201734 - 1. assign V204766 = V052634 - 1. assign V343657 = V404294. assign V328485 = V591455. assign V984616 = V999854 - 1. assign V640247 = V259507 - 1. assign V687405 = V999854 - 1. assign V590277 = V352308 + 1. assign V606469 = V366711 + 1. assign V981356 = V303181 + 1. assign V952666 = V833964. assign V834477 = V336052 - 1. assign V261198 = V591455 - 1. assign V567452 = V246751 + 1. assign V667626 = V984616 + 1. assign V828402 = 3. assign V645418 = V976617 + 1. assign V856997 = V748127 + 1. assign V342264 = V687405 + 1. assign V374025 = V308856 + 1. assign V409034 = V495526. assign V587894 = V529779 - 1. assign V491751 = V359757 + 1. assign V025874 = V495526 - 1. assign V920474 = V529779 + 1. assign V303813 = V374025 - 1. assign V374021 = V503915 + 1. assign V148618 = V503915 + 1. assign V464897 = V976617 + 1. assign V441699 = V091340 + 1. assign V529779 = V070506 + 1. assign V938139 = V520778.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V912078 = V486699 + 1. assign V279981 = V824339 - 1. assign V393182 = V470862. assign V515007 = V667626 + 1. assign V650059 = V273685 + 1. assign V198567 = V444469 + 1. assign V557322 = V388147. assign V299442 = V591455. assign V045221 = V958383 - 1. assign V520778 = V922744 + 1. assign V944176 = V336052 + 1. assign V091340 = V976617. assign V770021 = V299442 - 1. assign V892092 = V246751. assign V706393 = V299579 - 1. assign V291874 = V890247 + 1. assign V747409 = V065443 - 1. assign V891035 = V388147 - 1. assign V308856 = V052634 - 1. assign V222465 = V816422. assign V982720 = V299442 - 1. assign V952054 = V770021. assign V359757 = V409034 + 1. assign V283113 = V922744. assign V518443 = V444469. assign V070506 = V591455 + 1. assign V591455 = V976617 - 1. assign V044571 = V444469 + 1. assign V809255 = V091340 + 1. assign V273685 = V228005 + 1. assign V760850 = V981356 + 1. assign V303181 = V065443 - 1. assign V403450 = V520778. assign V332294 = V336052. assign V200148 = V938139 - 1. assign V693772 = V645418 + 1. assign V591783 = V470862 - 1. assign V232842 = V261198 - 1. assign V377577 = V546986. assign V121954 = V204766. assign V888525 = V334811 - 1. assign V599906 = V370040 - 1. assign V895711 = V952666 - 1. assign V922744 = V976617 + 1. assign V228005 = V748127 - 1. assign V395367 = V228005. assign V503915 = V824339. assign V246751 = V693772 + 1. assign V334811 = V185920. assign V988953 = V299442 - 1. assign V550883 = V920474 - 1. assign V135006 = V052634 - 1. assign V619423 = V571678 - 1. assign V370376 = V201734. assign V799605 = V228005 + 1. assign V279126 = V135006 + 1. assign V294970 = V984616 + 1. assign V329004 = V984616 - 1. assign V183545 = V518443 + 1. assign V724691 = V591455 - 1. assign V418025 = V276125 - 1. assign V192691 = V515007. assign V327732 = V486699. assign V906658 = V687405. assign V077504 = V591783 - 1. assign V456328 = V976617. assign V185920 = V370376 + 1. assign V444469 = V922744 + 1. assign V351549 = V503915 - 1. assign V656635 = V185920 + 1. assign V306051 = V201734 + 1. assign V231488 = V261198. assign V824339 = V409034. assign V833964 = V856997 + 1. assign V128667 = V976617 + 1. assign V470862 = V495526 - 1. assign V257299 = V747409 - 1. assign V052634 = V724691 + 1. assign V415079 = V052634. assign V917082 = V890247. assign V352308 = V922744 - 1. assign V259507 = V359757. assign V686635 = V299442. assign V234073 = V828402. assign V814177 = V294970 - 1. assign V999854 = V976617 - 1. assign V976617 = V486416. assign V225373 = V976617 - 1. assign V388147 = V591783 + 1. assign V276125 = V976617 - 1. assign V382360 = V283113 - 1. assign V200129 = V619423. assign V465046 = V065443 + 1. assign V626548 = V747302. assign V785246 = V686635 - 1. assign V748992 = V778636 - 1. assign V299579 = V724691 + 1. assign V816422 = V892092 - 1. assign V830577 = V070506 + 1. assign V375357 = V352308 - 1. assign V706345 = V370376 + 1. assign V367968 = V393182 + 1. assign V748127 = V495526. assign V915542 = V976617. assign V495526 = V261198 + 1. assign V522754 = V099709. assign V958383 = V273685 - 1. assign V280512 = V377577 - 1. assign V481647 = V486699 + 1. assign V622575 = V308856 + 1. assign V404435 = V976617. assign V546986 = V486416 - 1. assign V453948 = V481647 - 1. assign V685421 = V760850 + 1. assign V247407 = V529779 + 1. assign V571678 = V724691 + 1. assign V711578 = V359757 + 1. assign V411453 = V571678. assign V665207 = V225373 + 1. assign V201734 = V982720 + 1. assign V065443 = V393182 - 1. assign V080839 = V571678. assign V378125 = V393182. assign V483058 = V816422 - 1. assign V099709 = V257299. assign V173303 = V495526 - 1. assign V186350 = V279126 + 1. assign V336052 = V938139 + 1. assign V934086 = V645418. assign V778636 = V259507 - 1. assign V008003 = V724691 - 1. assign V717507 = V359757. assign V196910 = V173303 + 1. assign V370040 = V958383 - 1. assign V486699 = V486416. assign V350946 = V667626 + 1. assign V890247 = V065443. assign V404294 = V686635. assign V747302 = V984616 - 1. assign V366711 = V135006 + 1. assign V070742 = V201734 - 1. assign V204766 = V052634 - 1. assign V343657 = V404294. assign V328485 = V591455. assign V984616 = V999854 - 1. assign V640247 = V259507 - 1. assign V687405 = V999854 - 1. assign V590277 = V352308 + 1. assign V606469 = V366711 + 1. assign V981356 = V303181 + 1. assign V952666 = V833964. assign V834477 = V336052 - 1. assign V261198 = V591455 - 1. assign V567452 = V246751 + 1. assign V667626 = V984616 + 1. assign V828402 = 3. assign V645418 = V976617 + 1. assign V856997 = V748127 + 1. assign V342264 = V687405 + 1. assign V374025 = V308856 + 1. assign V409034 = V495526. assign V587894 = V529779 - 1. assign V491751 = V359757 + 1. assign V025874 = V495526 - 1. assign V920474 = V529779 + 1. assign V303813 = V374025 - 1. assign V374021 = V503915 + 1. assign V148618 = V503915 + 1. assign V464897 = V976617 + 1. assign V441699 = V091340 + 1. assign V529779 = V070506 + 1. assign V938139 = V520778.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV828402 = 3;\n\nFrom these direct assignment(s), we have: \nV234073 = V828402 = 3;\nNo other variables can be derived from V234073;\nNo other variables can be derived from V828402;\n\nNow we have done all the calculations. Derived variables are:\nV828402 = 3;\nV234073 = 3;\n\nNow we have finished this problem. ANSWER:\nV828402, V234073\n", "role": "assistant" } ]

[ "V335773" ]

[ { "content": "<context>\nassign V691637 = V122206 + 1. assign V550624 = V976659 + 1. assign V229602 = V100904. assign V814065 = V323040 - 1. assign V036858 = V555961 - 1. assign V334573 = V840688 - 1. assign V975889 = V941895 - 1. assign V877092 = V975889 - 1. assign V178900 = V154468. assign V076545 = V952908 + 1. assign V863382 = V077152 - 1. assign V272498 = V286993. assign V692756 = V323040. assign V422786 = V224336. assign V373572 = V588426 + 1. assign V566164 = V861001. assign V610235 = V803729 - 1. assign V296260 = V585817. assign V297937 = V065668 + 1. assign V993538 = V286993. assign V689590 = V389365 - 1. assign V586802 = V607836. assign V024301 = V861001 - 1. assign V994027 = V692756 - 1. assign V479788 = V297937 - 1. assign V723272 = V597416 + 1. assign V320810 = V080019. assign V361759 = V468621. assign V057916 = V208554 - 1. assign V122206 = V640933 + 1. assign V976659 = V316059 - 1. assign V208554 = V352636. assign V123384 = V406376. assign V323505 = V692756 + 1. assign V949699 = V588426 - 1. assign V597416 = V080019 - 1. assign V783354 = V100904. assign V706535 = V733620. assign V519406 = V024301 - 1. assign V580321 = V585817. assign V408135 = V640933 - 1. assign V198584 = V768009 + 1. assign V261130 = V762701 - 1. assign V433138 = V811642 + 1. assign V561487 = V150712 + 1. assign V196302 = V597416. assign V057658 = V479788. assign V438125 = V588426. assign V757762 = V389365 - 1. assign V595263 = V942391. assign V687553 = V840688 - 1. assign V406376 = V978409 - 1. assign V684742 = V607836 + 1. assign V941440 = V205970 - 1. assign V444237 = V057658 + 1. assign V569781 = V580321. assign V065668 = V585817. assign V123416 = V976659. assign V969560 = V692756. assign V504201 = V978409. assign V836576 = V137178. assign V357411 = V640933 - 1. assign V564627 = V733620 + 1. assign V749937 = V441728 - 1. assign V900459 = V397201 + 1. assign V352636 = V862438 - 1. assign V941895 = V630442. assign V041188 = V975889 - 1. assign V000268 = V607836 + 1. assign V323040 = V080019. assign V692689 = V954204. assign V890798 = V316386 + 1. assign V933608 = V689092 + 1. assign V348603 = V316386 - 1. assign V148562 = V123384 + 1. assign V801343 = V942391 + 1. assign V222404 = V077152. assign V468621 = V733620 + 1. assign V998091 = V222404 - 1. assign V689092 = V783354 - 1. assign V833449 = V597416 + 1. assign V154468 = V861001. assign V150712 = V580321. assign V759324 = V193929 - 1. assign V335773 = 0. assign V383275 = V437179. assign V069383 = V840688 - 1. assign V674508 = V065668 - 1. assign V422034 = V014152. assign V943610 = V205970 - 1. assign V323197 = V468621. assign V607836 = V833339 - 1. assign V224336 = V691637 - 1. assign V584545 = V014152 + 1. assign V640351 = V924658 + 1. assign V080019 = V100904 - 1. assign V754116 = V689590. assign V441866 = V833339 + 1. assign V768009 = V316059. assign V275465 = V323505. assign V294496 = V573928. assign V160483 = V595263. assign V862438 = V316386 + 1. assign V954204 = V833339. assign V452338 = V768009 + 1. assign V573928 = V100904 - 1. assign V924926 = V833449. assign V942391 = V297937 - 1. assign V205970 = V316386 + 1. assign V206918 = V389365 + 1. assign V582189 = V437179 - 1. assign V838603 = V444237 + 1. assign V316059 = V100904. assign V360937 = V297937. assign V291555 = V323040. assign V237403 = V479788 - 1. assign V719890 = V585817 + 1. assign V924658 = V383275 - 1. assign V367269 = V100904. assign V683230 = V150712 - 1. assign V633602 = V468621 - 1. assign V422517 = V444237. assign V082248 = V237403. assign V316386 = V783354 + 1. assign V389365 = V733620 - 1. assign V952908 = V783354 - 1. assign V441728 = V316059 + 1. assign V585955 = V441728 - 1. assign V937986 = V942391. assign V840688 = V437179. assign V110419 = V607836. assign V100904 = V408135 - 1. assign V080459 = V205970. assign V289098 = V229602. assign V064058 = V692756. assign V180181 = V406376 + 1. assign V017063 = V154468 - 1. assign V803729 = V323040 - 1. assign V137178 = V566164 - 1. assign V155485 = V193929. assign V606705 = V691637 + 1. assign V746009 = V687553 + 1. assign V433433 = V684742 + 1. assign V935937 = V890798. assign V014152 = V323505 + 1. assign V077152 = V640933 + 1. assign V156329 = V286993 + 1. assign V942080 = V024301 - 1. assign V161682 = V640933 - 1. assign V276047 = V110419 - 1. assign V406289 = V468621 + 1. assign V555961 = V606705 - 1. assign V630442 = V640933 - 1. assign V636963 = V335773 + 1. assign V286993 = V597416 - 1. assign V585817 = V161682 + 1. assign V871241 = V689590 + 1. assign V193929 = V080019 + 1. assign V572189 = V833339 - 1. assign V730112 = V748127 + 1. assign V283715 = V080019. assign V397201 = V762701 - 1. assign V748127 = V297937. assign V978409 = V861001 + 1. assign V437179 = V161682 - 1. assign V733620 = V161682 + 1. assign V762701 = V408135. assign V588426 = V573928 - 1. assign V861001 = V100904 - 1. assign V811642 = V692756 - 1. assign V833339 = V569781 + 1. assign V924160 = V566164.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V691637 = V122206 + 1. assign V550624 = V976659 + 1. assign V229602 = V100904. assign V814065 = V323040 - 1. assign V036858 = V555961 - 1. assign V334573 = V840688 - 1. assign V975889 = V941895 - 1. assign V877092 = V975889 - 1. assign V178900 = V154468. assign V076545 = V952908 + 1. assign V863382 = V077152 - 1. assign V272498 = V286993. assign V692756 = V323040. assign V422786 = V224336. assign V373572 = V588426 + 1. assign V566164 = V861001. assign V610235 = V803729 - 1. assign V296260 = V585817. assign V297937 = V065668 + 1. assign V993538 = V286993. assign V689590 = V389365 - 1. assign V586802 = V607836. assign V024301 = V861001 - 1. assign V994027 = V692756 - 1. assign V479788 = V297937 - 1. assign V723272 = V597416 + 1. assign V320810 = V080019. assign V361759 = V468621. assign V057916 = V208554 - 1. assign V122206 = V640933 + 1. assign V976659 = V316059 - 1. assign V208554 = V352636. assign V123384 = V406376. assign V323505 = V692756 + 1. assign V949699 = V588426 - 1. assign V597416 = V080019 - 1. assign V783354 = V100904. assign V706535 = V733620. assign V519406 = V024301 - 1. assign V580321 = V585817. assign V408135 = V640933 - 1. assign V198584 = V768009 + 1. assign V261130 = V762701 - 1. assign V433138 = V811642 + 1. assign V561487 = V150712 + 1. assign V196302 = V597416. assign V057658 = V479788. assign V438125 = V588426. assign V757762 = V389365 - 1. assign V595263 = V942391. assign V687553 = V840688 - 1. assign V406376 = V978409 - 1. assign V684742 = V607836 + 1. assign V941440 = V205970 - 1. assign V444237 = V057658 + 1. assign V569781 = V580321. assign V065668 = V585817. assign V123416 = V976659. assign V969560 = V692756. assign V504201 = V978409. assign V836576 = V137178. assign V357411 = V640933 - 1. assign V564627 = V733620 + 1. assign V749937 = V441728 - 1. assign V900459 = V397201 + 1. assign V352636 = V862438 - 1. assign V941895 = V630442. assign V041188 = V975889 - 1. assign V000268 = V607836 + 1. assign V323040 = V080019. assign V692689 = V954204. assign V890798 = V316386 + 1. assign V933608 = V689092 + 1. assign V348603 = V316386 - 1. assign V148562 = V123384 + 1. assign V801343 = V942391 + 1. assign V222404 = V077152. assign V468621 = V733620 + 1. assign V998091 = V222404 - 1. assign V689092 = V783354 - 1. assign V833449 = V597416 + 1. assign V154468 = V861001. assign V150712 = V580321. assign V759324 = V193929 - 1. assign V335773 = 0. assign V383275 = V437179. assign V069383 = V840688 - 1. assign V674508 = V065668 - 1. assign V422034 = V014152. assign V943610 = V205970 - 1. assign V323197 = V468621. assign V607836 = V833339 - 1. assign V224336 = V691637 - 1. assign V584545 = V014152 + 1. assign V640351 = V924658 + 1. assign V080019 = V100904 - 1. assign V754116 = V689590. assign V441866 = V833339 + 1. assign V768009 = V316059. assign V275465 = V323505. assign V294496 = V573928. assign V160483 = V595263. assign V862438 = V316386 + 1. assign V954204 = V833339. assign V452338 = V768009 + 1. assign V573928 = V100904 - 1. assign V924926 = V833449. assign V942391 = V297937 - 1. assign V205970 = V316386 + 1. assign V206918 = V389365 + 1. assign V582189 = V437179 - 1. assign V838603 = V444237 + 1. assign V316059 = V100904. assign V360937 = V297937. assign V291555 = V323040. assign V237403 = V479788 - 1. assign V719890 = V585817 + 1. assign V924658 = V383275 - 1. assign V367269 = V100904. assign V683230 = V150712 - 1. assign V633602 = V468621 - 1. assign V422517 = V444237. assign V082248 = V237403. assign V316386 = V783354 + 1. assign V389365 = V733620 - 1. assign V952908 = V783354 - 1. assign V441728 = V316059 + 1. assign V585955 = V441728 - 1. assign V937986 = V942391. assign V840688 = V437179. assign V110419 = V607836. assign V100904 = V408135 - 1. assign V080459 = V205970. assign V289098 = V229602. assign V064058 = V692756. assign V180181 = V406376 + 1. assign V017063 = V154468 - 1. assign V803729 = V323040 - 1. assign V137178 = V566164 - 1. assign V155485 = V193929. assign V606705 = V691637 + 1. assign V746009 = V687553 + 1. assign V433433 = V684742 + 1. assign V935937 = V890798. assign V014152 = V323505 + 1. assign V077152 = V640933 + 1. assign V156329 = V286993 + 1. assign V942080 = V024301 - 1. assign V161682 = V640933 - 1. assign V276047 = V110419 - 1. assign V406289 = V468621 + 1. assign V555961 = V606705 - 1. assign V630442 = V640933 - 1. assign V636963 = V335773 + 1. assign V286993 = V597416 - 1. assign V585817 = V161682 + 1. assign V871241 = V689590 + 1. assign V193929 = V080019 + 1. assign V572189 = V833339 - 1. assign V730112 = V748127 + 1. assign V283715 = V080019. assign V397201 = V762701 - 1. assign V748127 = V297937. assign V978409 = V861001 + 1. assign V437179 = V161682 - 1. assign V733620 = V161682 + 1. assign V762701 = V408135. assign V588426 = V573928 - 1. assign V861001 = V100904 - 1. assign V811642 = V692756 - 1. assign V833339 = V569781 + 1. assign V924160 = V566164.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV335773 = 0;\n\nFrom these direct assignment(s), we have: \nV636963 = V335773 + 1 = 0 + 1 =1;\nNo other variables can be derived from V636963;\nNo other variables can be derived from V335773;\n\nNow we have done all the calculations. Derived variables are:\nV335773 = 0;\nV636963 = 1;\n\nNow we have finished this problem. ANSWER:\nV335773\n", "role": "assistant" } ]

[ "V359507" ]

[ { "content": "<context>\nassign V059596 = V019857 - 1. assign V428888 = V978907 - 1. assign V141612 = V187432 + 1. assign V109495 = V078095. assign V633080 = V021995 + 1. assign V142183 = V007660 + 1. assign V950537 = V978907 + 1. assign V791857 = V670124. assign V186659 = V782646 + 1. assign V667063 = V782646. assign V596696 = V912868. assign V444305 = V853354 - 1. assign V319977 = V945402 - 1. assign V603487 = V945402 - 1. assign V355462 = V513577. assign V945402 = V264878. assign V138130 = V594411 - 1. assign V049785 = V626632. assign V693080 = V018529 - 1. assign V447559 = V922271 + 1. assign V663622 = V816840 + 1. assign V135388 = V670124 + 1. assign V835645 = V365487. assign V357014 = V724930 - 1. assign V057716 = V359507 + 1. assign V813677 = V539302 - 1. assign V464406 = V711372. assign V313938 = V950537. assign V236838 = V414948. assign V264878 = V782646. assign V894085 = V038738. assign V251252 = V058907 + 1. assign V603293 = V397551 + 1. assign V976837 = V604787. assign V921792 = V547455 - 1. assign V115580 = V069737 + 1. assign V185465 = V006714 - 1. assign V979792 = V876781 + 1. assign V871282 = V711372 + 1. assign V563843 = V816840 - 1. assign V070788 = V663622 + 1. assign V659037 = V836738 - 1. assign V834408 = V506174 + 1. assign V154868 = V633080 + 1. assign V752975 = V616891 + 1. assign V724942 = V038738 + 1. assign V579130 = V539302. assign V881116 = V533670. assign V553913 = V357014 - 1. assign V633422 = V663622 - 1. assign V204697 = V667063 + 1. assign V218472 = V028852. assign V539302 = V740241 + 1. assign V125736 = V885412. assign V506174 = V732948. assign V187432 = V328838 - 1. assign V220194 = V115580 - 1. assign V016754 = V019857. assign V069737 = V016754 - 1. assign V397160 = V393322. assign V397094 = V019021 + 1. assign V365487 = V428888. assign V842553 = V651702 + 1. assign V816840 = V782646 - 1. assign V359507 = 3. assign V185580 = V922271 - 1. assign V295038 = V323824. assign V724930 = V323824 - 1. assign V365981 = V540060 - 1. assign V164211 = V222747. assign V767986 = V428888 - 1. assign V986641 = V079306 + 1. assign V978907 = V019857. assign V212054 = V127515 - 1. assign V452306 = V635077 - 1. assign V836738 = V264878 - 1. assign V533670 = V724930. assign V041733 = V164211. assign V450248 = V908771 - 1. assign V987454 = V204697 - 1. assign V264162 = V007660 - 1. assign V895970 = V079467 - 1. assign V448543 = V876781. assign V682205 = V950537 - 1. assign V021995 = V782646 + 1. assign V912868 = V853354. assign V832842 = V319977. assign V588479 = V125736 + 1. assign V632108 = V603293 - 1. assign V393322 = V264878 - 1. assign V119531 = V365487. assign V414948 = V021995 + 1. assign V006714 = V630989 - 1. assign V474205 = V185580 + 1. assign V010286 = V506174. assign V222747 = V038738. assign V078095 = V019021 - 1. assign V563914 = V687868 + 1. assign V007660 = V740241. assign V251196 = V058907. assign V061694 = V834408 - 1. assign V522047 = V436856. assign V328838 = V659037 - 1. assign V626632 = V397551 + 1. assign V448262 = V732948. assign V604787 = V626632 + 1. assign V949872 = V448262. assign V908771 = V603293 - 1. assign V922271 = V659037. assign V028852 = V397551. assign V594411 = V647008. assign V037197 = V950537 + 1. assign V711372 = V328838 + 1. assign V058907 = V670124 + 1. assign V323824 = V052567 + 1. assign V647008 = V355462. assign V304332 = V978907 - 1. assign V840936 = V835645. assign V038738 = V264878. assign V995382 = V633449 + 1. assign V876781 = V058907 + 1. assign V498984 = V670124 - 1. assign V776816 = V513577 + 1. assign V165057 = V357014. assign V912944 = V732948 - 1. assign V169029 = V853354 - 1. assign V079306 = V222747 + 1. assign V066609 = V218472 - 1. assign V337748 = V010286 + 1. assign V459269 = V626632 - 1. assign V423898 = V365487 + 1. assign V436856 = V603487 - 1. assign V938203 = V630989. assign V635077 = V513577 + 1. assign V018529 = V323824 + 1. assign V687868 = V603487. assign V853354 = V264878 + 1. assign V810906 = V553913 - 1. assign V732948 = V782646 - 1. assign V019857 = V264878 + 1. assign V633449 = V816840 + 1. assign V747186 = V724930 + 1. assign V670124 = V836738. assign V016758 = V033062. assign V630989 = V019857 - 1. assign V651702 = V079467. assign V373645 = V016754 + 1. assign V762173 = V835645 + 1. assign V446148 = V945402. assign V293009 = V038738. assign V019021 = V328838. assign V740241 = V414948 - 1. assign V736694 = V038738 + 1. assign V616891 = V021995 - 1. assign V079467 = V264878 - 1. assign V033062 = V052567 - 1. assign V902178 = V912944. assign V449202 = V711372. assign V513577 = V667063. assign V768788 = V313938. assign V540060 = V428888. assign V885412 = V912868 - 1. assign V397551 = V264878 + 1. assign V834559 = V616891 + 1. assign V234783 = V293009 - 1. assign V127515 = V423898. assign V052567 = V667063. assign V850661 = V234783 + 1. assign V661501 = V079306 + 1. assign V547455 = V393322 + 1. assign V893595 = V234783 - 1. assign V890654 = V357014 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V059596 = V019857 - 1. assign V428888 = V978907 - 1. assign V141612 = V187432 + 1. assign V109495 = V078095. assign V633080 = V021995 + 1. assign V142183 = V007660 + 1. assign V950537 = V978907 + 1. assign V791857 = V670124. assign V186659 = V782646 + 1. assign V667063 = V782646. assign V596696 = V912868. assign V444305 = V853354 - 1. assign V319977 = V945402 - 1. assign V603487 = V945402 - 1. assign V355462 = V513577. assign V945402 = V264878. assign V138130 = V594411 - 1. assign V049785 = V626632. assign V693080 = V018529 - 1. assign V447559 = V922271 + 1. assign V663622 = V816840 + 1. assign V135388 = V670124 + 1. assign V835645 = V365487. assign V357014 = V724930 - 1. assign V057716 = V359507 + 1. assign V813677 = V539302 - 1. assign V464406 = V711372. assign V313938 = V950537. assign V236838 = V414948. assign V264878 = V782646. assign V894085 = V038738. assign V251252 = V058907 + 1. assign V603293 = V397551 + 1. assign V976837 = V604787. assign V921792 = V547455 - 1. assign V115580 = V069737 + 1. assign V185465 = V006714 - 1. assign V979792 = V876781 + 1. assign V871282 = V711372 + 1. assign V563843 = V816840 - 1. assign V070788 = V663622 + 1. assign V659037 = V836738 - 1. assign V834408 = V506174 + 1. assign V154868 = V633080 + 1. assign V752975 = V616891 + 1. assign V724942 = V038738 + 1. assign V579130 = V539302. assign V881116 = V533670. assign V553913 = V357014 - 1. assign V633422 = V663622 - 1. assign V204697 = V667063 + 1. assign V218472 = V028852. assign V539302 = V740241 + 1. assign V125736 = V885412. assign V506174 = V732948. assign V187432 = V328838 - 1. assign V220194 = V115580 - 1. assign V016754 = V019857. assign V069737 = V016754 - 1. assign V397160 = V393322. assign V397094 = V019021 + 1. assign V365487 = V428888. assign V842553 = V651702 + 1. assign V816840 = V782646 - 1. assign V359507 = 3. assign V185580 = V922271 - 1. assign V295038 = V323824. assign V724930 = V323824 - 1. assign V365981 = V540060 - 1. assign V164211 = V222747. assign V767986 = V428888 - 1. assign V986641 = V079306 + 1. assign V978907 = V019857. assign V212054 = V127515 - 1. assign V452306 = V635077 - 1. assign V836738 = V264878 - 1. assign V533670 = V724930. assign V041733 = V164211. assign V450248 = V908771 - 1. assign V987454 = V204697 - 1. assign V264162 = V007660 - 1. assign V895970 = V079467 - 1. assign V448543 = V876781. assign V682205 = V950537 - 1. assign V021995 = V782646 + 1. assign V912868 = V853354. assign V832842 = V319977. assign V588479 = V125736 + 1. assign V632108 = V603293 - 1. assign V393322 = V264878 - 1. assign V119531 = V365487. assign V414948 = V021995 + 1. assign V006714 = V630989 - 1. assign V474205 = V185580 + 1. assign V010286 = V506174. assign V222747 = V038738. assign V078095 = V019021 - 1. assign V563914 = V687868 + 1. assign V007660 = V740241. assign V251196 = V058907. assign V061694 = V834408 - 1. assign V522047 = V436856. assign V328838 = V659037 - 1. assign V626632 = V397551 + 1. assign V448262 = V732948. assign V604787 = V626632 + 1. assign V949872 = V448262. assign V908771 = V603293 - 1. assign V922271 = V659037. assign V028852 = V397551. assign V594411 = V647008. assign V037197 = V950537 + 1. assign V711372 = V328838 + 1. assign V058907 = V670124 + 1. assign V323824 = V052567 + 1. assign V647008 = V355462. assign V304332 = V978907 - 1. assign V840936 = V835645. assign V038738 = V264878. assign V995382 = V633449 + 1. assign V876781 = V058907 + 1. assign V498984 = V670124 - 1. assign V776816 = V513577 + 1. assign V165057 = V357014. assign V912944 = V732948 - 1. assign V169029 = V853354 - 1. assign V079306 = V222747 + 1. assign V066609 = V218472 - 1. assign V337748 = V010286 + 1. assign V459269 = V626632 - 1. assign V423898 = V365487 + 1. assign V436856 = V603487 - 1. assign V938203 = V630989. assign V635077 = V513577 + 1. assign V018529 = V323824 + 1. assign V687868 = V603487. assign V853354 = V264878 + 1. assign V810906 = V553913 - 1. assign V732948 = V782646 - 1. assign V019857 = V264878 + 1. assign V633449 = V816840 + 1. assign V747186 = V724930 + 1. assign V670124 = V836738. assign V016758 = V033062. assign V630989 = V019857 - 1. assign V651702 = V079467. assign V373645 = V016754 + 1. assign V762173 = V835645 + 1. assign V446148 = V945402. assign V293009 = V038738. assign V019021 = V328838. assign V740241 = V414948 - 1. assign V736694 = V038738 + 1. assign V616891 = V021995 - 1. assign V079467 = V264878 - 1. assign V033062 = V052567 - 1. assign V902178 = V912944. assign V449202 = V711372. assign V513577 = V667063. assign V768788 = V313938. assign V540060 = V428888. assign V885412 = V912868 - 1. assign V397551 = V264878 + 1. assign V834559 = V616891 + 1. assign V234783 = V293009 - 1. assign V127515 = V423898. assign V052567 = V667063. assign V850661 = V234783 + 1. assign V661501 = V079306 + 1. assign V547455 = V393322 + 1. assign V893595 = V234783 - 1. assign V890654 = V357014 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV359507 = 3;\n\nFrom these direct assignment(s), we have: \nV057716 = V359507 + 1 = 3 + 1 =4;\nNo other variables can be derived from V057716;\nNo other variables can be derived from V359507;\n\nNow we have done all the calculations. Derived variables are:\nV359507 = 3;\nV057716 = 4;\n\nNow we have finished this problem. ANSWER:\nV359507\n", "role": "assistant" } ]

[ "V212776" ]

[ { "content": "<context>\nassign V263464 = V214652. assign V878719 = V062914. assign V169023 = V507541. assign V693554 = V799740 + 1. assign V391202 = V237124 - 1. assign V168160 = V285568 - 1. assign V258559 = V263464 + 1. assign V336180 = V531623 + 1. assign V006335 = V042997 + 1. assign V344304 = V109288. assign V630583 = V618321 + 1. assign V454456 = V507541 - 1. assign V100951 = V680082 + 1. assign V228481 = V010177 - 1. assign V334967 = V897074 - 1. assign V367834 = V630583 + 1. assign V827564 = V370643 + 1. assign V162698 = V459975. assign V587186 = 6. assign V474375 = V831775 + 1. assign V166555 = V590968 + 1. assign V785063 = V125077. assign V307339 = V868302. assign V995730 = V943075. assign V109288 = V183331 + 1. assign V609308 = V344304 + 1. assign V438503 = V042997 - 1. assign V469384 = V507541 + 1. assign V183331 = V297059 - 1. assign V939298 = V469384 + 1. assign V847762 = V364052 - 1. assign V507541 = V943075 - 1. assign V459975 = V372570 - 1. assign V212776 = V587186 + 1. assign V237124 = V503657 + 1. assign V965596 = V827477 - 1. assign V943075 = V503657 + 1. assign V449554 = V138738 - 1. assign V372570 = V062914 + 1. assign V437228 = V183331 - 1. assign V548101 = V590968 - 1. assign V129798 = V140202 + 1. assign V145535 = V253420 + 1. assign V214652 = V680082. assign V811148 = V109288. assign V008337 = V075094 + 1. assign V799740 = V847762 - 1. assign V952021 = V273852. assign V880829 = V459975 + 1. assign V340739 = V505996 + 1. assign V008890 = V827477 + 1. assign V969952 = V357002 + 1. assign V134933 = V129405 + 1. assign V399543 = V472491 - 1. assign V062914 = V592046 + 1. assign V902466 = V129405 - 1. assign V285568 = V507541 + 1. assign V827477 = V592046. assign V370643 = V011304 - 1. assign V133342 = V253420 - 1. assign V766275 = V592046. assign V011304 = V253420 - 1. assign V042997 = V871048. assign V010807 = V022258 - 1. assign V206233 = V831775. assign V193647 = V592046. assign V531623 = V372698. assign V326314 = V253420 + 1. assign V138738 = V183331 - 1. assign V372698 = V285568 + 1. assign V981092 = V871048 - 1. assign V307252 = V480351 - 1. assign V830280 = V367834 + 1. assign V499009 = V012946 - 1. assign V346579 = V214652 - 1. assign V433131 = V871048 + 1. assign V821446 = V125077 - 1. assign V276015 = V827477 + 1. assign V234453 = V193647 + 1. assign V480351 = V133342. assign V364052 = V125077 - 1. assign V184748 = V125077 - 1. assign V639038 = V237124. assign V590968 = V503657 + 1. assign V140202 = V939298 + 1. assign V166975 = V162698. assign V297059 = V062914 - 1. assign V543578 = V932561. assign V373812 = V379930 + 1. assign V129405 = V297059. assign V652914 = V370643. assign V136835 = V905469 - 1. assign V547895 = V183331 + 1. assign V695137 = V929702 + 1. assign V831775 = V197112. assign V859833 = V943075. assign V569779 = V214652. assign V505996 = V285568 + 1. assign V771006 = V010177 + 1. assign V605774 = V943075. assign V612814 = V827477. assign V479847 = V943075 + 1. assign V292876 = V012946. assign V197112 = V965596. assign V825714 = V129405. assign V012946 = V548101 - 1. assign V945680 = V372698 - 1. assign V022258 = V902466 + 1. assign V105819 = V062914 + 1. assign V024463 = V183331 + 1. assign V352024 = V510671. assign V582454 = V459975. assign V273852 = V357002 + 1. assign V931537 = V453300 + 1. assign V386913 = V183331 + 1. assign V984031 = V827477. assign V745510 = V952021 + 1. assign V929702 = V569779 + 1. assign V363094 = V548101 + 1. assign V349775 = V503657. assign V169509 = V370643. assign V379930 = V012946. assign V202740 = V871048 - 1. assign V297777 = V183331. assign V680082 = V297059 - 1. assign V010177 = V062914 + 1. assign V385600 = V743375. assign V472491 = V898851. assign V738571 = V206233 + 1. assign V220628 = V100951 + 1. assign V257985 = V042997 - 1. assign V510671 = V827477 - 1. assign V253420 = V062914 + 1. assign V743375 = V184748 - 1. assign V598371 = V138738. assign V849862 = V469384 - 1. assign V645498 = V334967 + 1. assign V411599 = V743375 + 1. assign V200239 = V849862 - 1. assign V905469 = V349775 + 1. assign V523346 = V743375 + 1. assign V109629 = V871048 - 1. assign V125077 = V897074. assign V932561 = V965596. assign V793362 = V006335 - 1. assign V696061 = V984031 - 1. assign V898851 = V887869 - 1. assign V843972 = V547895. assign V357002 = V849862 + 1. assign V116697 = V918139 + 1. assign V503657 = V871048. assign V596872 = V799740 - 1. assign V918139 = V109288 - 1. assign V048271 = V075094 + 1. assign V172869 = V109629 + 1. assign V427825 = V871048 - 1. assign V971368 = V145299 - 1. assign V868302 = V943075. assign V871048 = V197112 - 1. assign V618321 = V237124. assign V293311 = V010177 - 1. assign V145299 = V258559. assign V887869 = V197112 + 1. assign V453300 = V905469 + 1. assign V326065 = V898851. assign V075094 = V237124. assign V445953 = V042997 - 1. assign V985622 = V592046. assign V963288 = V738571 + 1. assign V897074 = V905469 - 1. assign V849342 = V459975. assign V769315 = V905469 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V263464 = V214652. assign V878719 = V062914. assign V169023 = V507541. assign V693554 = V799740 + 1. assign V391202 = V237124 - 1. assign V168160 = V285568 - 1. assign V258559 = V263464 + 1. assign V336180 = V531623 + 1. assign V006335 = V042997 + 1. assign V344304 = V109288. assign V630583 = V618321 + 1. assign V454456 = V507541 - 1. assign V100951 = V680082 + 1. assign V228481 = V010177 - 1. assign V334967 = V897074 - 1. assign V367834 = V630583 + 1. assign V827564 = V370643 + 1. assign V162698 = V459975. assign V587186 = 6. assign V474375 = V831775 + 1. assign V166555 = V590968 + 1. assign V785063 = V125077. assign V307339 = V868302. assign V995730 = V943075. assign V109288 = V183331 + 1. assign V609308 = V344304 + 1. assign V438503 = V042997 - 1. assign V469384 = V507541 + 1. assign V183331 = V297059 - 1. assign V939298 = V469384 + 1. assign V847762 = V364052 - 1. assign V507541 = V943075 - 1. assign V459975 = V372570 - 1. assign V212776 = V587186 + 1. assign V237124 = V503657 + 1. assign V965596 = V827477 - 1. assign V943075 = V503657 + 1. assign V449554 = V138738 - 1. assign V372570 = V062914 + 1. assign V437228 = V183331 - 1. assign V548101 = V590968 - 1. assign V129798 = V140202 + 1. assign V145535 = V253420 + 1. assign V214652 = V680082. assign V811148 = V109288. assign V008337 = V075094 + 1. assign V799740 = V847762 - 1. assign V952021 = V273852. assign V880829 = V459975 + 1. assign V340739 = V505996 + 1. assign V008890 = V827477 + 1. assign V969952 = V357002 + 1. assign V134933 = V129405 + 1. assign V399543 = V472491 - 1. assign V062914 = V592046 + 1. assign V902466 = V129405 - 1. assign V285568 = V507541 + 1. assign V827477 = V592046. assign V370643 = V011304 - 1. assign V133342 = V253420 - 1. assign V766275 = V592046. assign V011304 = V253420 - 1. assign V042997 = V871048. assign V010807 = V022258 - 1. assign V206233 = V831775. assign V193647 = V592046. assign V531623 = V372698. assign V326314 = V253420 + 1. assign V138738 = V183331 - 1. assign V372698 = V285568 + 1. assign V981092 = V871048 - 1. assign V307252 = V480351 - 1. assign V830280 = V367834 + 1. assign V499009 = V012946 - 1. assign V346579 = V214652 - 1. assign V433131 = V871048 + 1. assign V821446 = V125077 - 1. assign V276015 = V827477 + 1. assign V234453 = V193647 + 1. assign V480351 = V133342. assign V364052 = V125077 - 1. assign V184748 = V125077 - 1. assign V639038 = V237124. assign V590968 = V503657 + 1. assign V140202 = V939298 + 1. assign V166975 = V162698. assign V297059 = V062914 - 1. assign V543578 = V932561. assign V373812 = V379930 + 1. assign V129405 = V297059. assign V652914 = V370643. assign V136835 = V905469 - 1. assign V547895 = V183331 + 1. assign V695137 = V929702 + 1. assign V831775 = V197112. assign V859833 = V943075. assign V569779 = V214652. assign V505996 = V285568 + 1. assign V771006 = V010177 + 1. assign V605774 = V943075. assign V612814 = V827477. assign V479847 = V943075 + 1. assign V292876 = V012946. assign V197112 = V965596. assign V825714 = V129405. assign V012946 = V548101 - 1. assign V945680 = V372698 - 1. assign V022258 = V902466 + 1. assign V105819 = V062914 + 1. assign V024463 = V183331 + 1. assign V352024 = V510671. assign V582454 = V459975. assign V273852 = V357002 + 1. assign V931537 = V453300 + 1. assign V386913 = V183331 + 1. assign V984031 = V827477. assign V745510 = V952021 + 1. assign V929702 = V569779 + 1. assign V363094 = V548101 + 1. assign V349775 = V503657. assign V169509 = V370643. assign V379930 = V012946. assign V202740 = V871048 - 1. assign V297777 = V183331. assign V680082 = V297059 - 1. assign V010177 = V062914 + 1. assign V385600 = V743375. assign V472491 = V898851. assign V738571 = V206233 + 1. assign V220628 = V100951 + 1. assign V257985 = V042997 - 1. assign V510671 = V827477 - 1. assign V253420 = V062914 + 1. assign V743375 = V184748 - 1. assign V598371 = V138738. assign V849862 = V469384 - 1. assign V645498 = V334967 + 1. assign V411599 = V743375 + 1. assign V200239 = V849862 - 1. assign V905469 = V349775 + 1. assign V523346 = V743375 + 1. assign V109629 = V871048 - 1. assign V125077 = V897074. assign V932561 = V965596. assign V793362 = V006335 - 1. assign V696061 = V984031 - 1. assign V898851 = V887869 - 1. assign V843972 = V547895. assign V357002 = V849862 + 1. assign V116697 = V918139 + 1. assign V503657 = V871048. assign V596872 = V799740 - 1. assign V918139 = V109288 - 1. assign V048271 = V075094 + 1. assign V172869 = V109629 + 1. assign V427825 = V871048 - 1. assign V971368 = V145299 - 1. assign V868302 = V943075. assign V871048 = V197112 - 1. assign V618321 = V237124. assign V293311 = V010177 - 1. assign V145299 = V258559. assign V887869 = V197112 + 1. assign V453300 = V905469 + 1. assign V326065 = V898851. assign V075094 = V237124. assign V445953 = V042997 - 1. assign V985622 = V592046. assign V963288 = V738571 + 1. assign V897074 = V905469 - 1. assign V849342 = V459975. assign V769315 = V905469 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV587186 = 6;\n\nFrom these direct assignment(s), we have: \nV212776 = V587186 + 1 = 6 + 1 =7;\nNo other variables can be derived from V212776;\nNo other variables can be derived from V587186;\n\nNow we have done all the calculations. Derived variables are:\nV587186 = 6;\nV212776 = 7;\n\nNow we have finished this problem. ANSWER:\nV212776\n", "role": "assistant" } ]

[ "V669847" ]

[ { "content": "<context>\nassign V920611 = V738402 - 1. assign V476358 = V440117 - 1. assign V766843 = V602832 - 1. assign V329081 = V425781. assign V652557 = V450886 - 1. assign V065784 = V985186. assign V245362 = V789000. assign V312048 = V787756 + 1. assign V042559 = V653248. assign V746679 = V425781 - 1. assign V789000 = V183790. assign V699433 = V224716. assign V929036 = V622061. assign V307253 = V643619 - 1. assign V589428 = V572538. assign V097017 = V929036. assign V118569 = V731945 + 1. assign V409085 = V293050. assign V359883 = V637705 + 1. assign V309466 = V148926 + 1. assign V747981 = V179694 - 1. assign V280874 = V272641. assign V669847 = V964148 - 1. assign V467280 = V581526 + 1. assign V818593 = V683489. assign V425781 = V807884. assign V557778 = V097017 + 1. assign V372101 = V851889 + 1. assign V570390 = V929036 - 1. assign V479547 = V541745 + 1. assign V107066 = V136509 + 1. assign V148926 = V669489 + 1. assign V033502 = V551153 - 1. assign V366138 = V602832 + 1. assign V690009 = V894187 + 1. assign V622477 = V708353 - 1. assign V392827 = V731945 + 1. assign V456860 = V784938. assign V571409 = V602832. assign V475449 = V183790 + 1. assign V560726 = V602832. assign V653248 = V708353 - 1. assign V367387 = V629887 + 1. assign V144998 = V476358 - 1. assign V807884 = V748074 - 1. assign V358580 = V051484. assign V902341 = V183790. assign V795211 = V861172 - 1. assign V533203 = V746679. assign V348944 = V646258. assign V602832 = V148926. assign V787756 = V858448 + 1. assign V851291 = V738402 - 1. assign V118394 = V293050. assign V708353 = V148926 + 1. assign V597906 = V179694 + 1. assign V450886 = V787756. assign V541745 = V807884 + 1. assign V985175 = V939630 + 1. assign V622061 = V643619 - 1. assign V748074 = V637705. assign V572538 = V227321 + 1. assign V581526 = V272641 - 1. assign V161229 = V748074 + 1. assign V998129 = V653248 - 1. assign V703175 = V646258 + 1. assign V641004 = V731945 - 1. assign V575133 = V557778. assign V129844 = V570390 - 1. assign V829135 = V137679 - 1. assign V227321 = V748074. assign V642249 = V385435. assign V417574 = V643619 - 1. assign V811223 = V703175 + 1. assign V578776 = V998344 + 1. assign V486209 = V929036 + 1. assign V831607 = V869670 + 1. assign V939318 = V703175. assign V551153 = V078955 + 1. assign V869311 = V137679. assign V341654 = V316907 + 1. assign V214448 = V440117. assign V078955 = V179694 - 1. assign V893548 = V137679 - 1. assign V293050 = V148926 - 1. assign V738402 = V669489. assign V638259 = V722183. assign V272641 = V572538. assign V886394 = V054298 - 1. assign V964148 = 1. assign V790046 = V409085. assign V426066 = V293050. assign V270994 = V865088 + 1. assign V278730 = V985175 + 1. assign V287448 = V541745 - 1. assign V440117 = V858448 + 1. assign V118959 = V316907 - 1. assign V705611 = V541745. assign V865088 = V939630 - 1. assign V830289 = V829135. assign V316907 = V790046. assign V147210 = V015964 + 1. assign V784938 = V392827 + 1. assign V895082 = V622061 + 1. assign V750517 = V920611 - 1. assign V435614 = V392827 - 1. assign V894187 = V183790 + 1. assign V985186 = V708353 + 1. assign V179694 = V669489 + 1. assign V214372 = V359883 - 1. assign V053199 = V078955 - 1. assign V629887 = V622477. assign V051484 = V807884 - 1. assign V059707 = V450886. assign V379350 = V358580. assign V236267 = V145580 - 1. assign V609035 = V148926 + 1. assign V585907 = V659293 - 1. assign V129740 = V409085 - 1. assign V365448 = V748074 + 1. assign V587216 = V148926. assign V998344 = V042559 - 1. assign V643619 = V179694. assign V718254 = V622477 - 1. assign V211000 = V858448. assign V145580 = V787756 - 1. assign V256023 = V450886 - 1. assign V374891 = V541745 + 1. assign V646258 = V637705 - 1. assign V434292 = V787756. assign V169887 = V417574. assign V090789 = V851889. assign V137679 = V148926 + 1. assign V015964 = V638259. assign V183790 = V137679 - 1. assign V722183 = V920611 - 1. assign V637705 = V609035 - 1. assign V054298 = V869670 + 1. assign V069057 = V646258 + 1. assign V869670 = V805785 - 1. assign V445706 = V272641 - 1. assign V461816 = V858448 - 1. assign V342579 = V602832. assign V521253 = V051484 - 1. assign V669489 = V858448 - 1. assign V058115 = V069057 - 1. assign V731945 = V148926. assign V621720 = V551153 - 1. assign V152986 = V731945 + 1. assign V426112 = V137679. assign V243742 = V266421 - 1. assign V197475 = V342579 + 1. assign V805785 = V137679 + 1. assign V136509 = V886394 + 1. assign V659293 = V637705 + 1. assign V927608 = V865088. assign V382632 = V476358 + 1. assign V770382 = V385435 + 1. assign V309609 = V183790. assign V939630 = V851291. assign V585062 = V440117. assign V385435 = V805785. assign V383825 = V795211 + 1. assign V214558 = V869670 - 1. assign V851889 = V571409. assign V861172 = V426066. assign V796442 = V179694 + 1. assign V266421 = V051484 + 1. assign V107140 = V440117. assign V224716 = V858448 - 1. assign V428897 = V638259 + 1. assign V683489 = V341654 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V920611 = V738402 - 1. assign V476358 = V440117 - 1. assign V766843 = V602832 - 1. assign V329081 = V425781. assign V652557 = V450886 - 1. assign V065784 = V985186. assign V245362 = V789000. assign V312048 = V787756 + 1. assign V042559 = V653248. assign V746679 = V425781 - 1. assign V789000 = V183790. assign V699433 = V224716. assign V929036 = V622061. assign V307253 = V643619 - 1. assign V589428 = V572538. assign V097017 = V929036. assign V118569 = V731945 + 1. assign V409085 = V293050. assign V359883 = V637705 + 1. assign V309466 = V148926 + 1. assign V747981 = V179694 - 1. assign V280874 = V272641. assign V669847 = V964148 - 1. assign V467280 = V581526 + 1. assign V818593 = V683489. assign V425781 = V807884. assign V557778 = V097017 + 1. assign V372101 = V851889 + 1. assign V570390 = V929036 - 1. assign V479547 = V541745 + 1. assign V107066 = V136509 + 1. assign V148926 = V669489 + 1. assign V033502 = V551153 - 1. assign V366138 = V602832 + 1. assign V690009 = V894187 + 1. assign V622477 = V708353 - 1. assign V392827 = V731945 + 1. assign V456860 = V784938. assign V571409 = V602832. assign V475449 = V183790 + 1. assign V560726 = V602832. assign V653248 = V708353 - 1. assign V367387 = V629887 + 1. assign V144998 = V476358 - 1. assign V807884 = V748074 - 1. assign V358580 = V051484. assign V902341 = V183790. assign V795211 = V861172 - 1. assign V533203 = V746679. assign V348944 = V646258. assign V602832 = V148926. assign V787756 = V858448 + 1. assign V851291 = V738402 - 1. assign V118394 = V293050. assign V708353 = V148926 + 1. assign V597906 = V179694 + 1. assign V450886 = V787756. assign V541745 = V807884 + 1. assign V985175 = V939630 + 1. assign V622061 = V643619 - 1. assign V748074 = V637705. assign V572538 = V227321 + 1. assign V581526 = V272641 - 1. assign V161229 = V748074 + 1. assign V998129 = V653248 - 1. assign V703175 = V646258 + 1. assign V641004 = V731945 - 1. assign V575133 = V557778. assign V129844 = V570390 - 1. assign V829135 = V137679 - 1. assign V227321 = V748074. assign V642249 = V385435. assign V417574 = V643619 - 1. assign V811223 = V703175 + 1. assign V578776 = V998344 + 1. assign V486209 = V929036 + 1. assign V831607 = V869670 + 1. assign V939318 = V703175. assign V551153 = V078955 + 1. assign V869311 = V137679. assign V341654 = V316907 + 1. assign V214448 = V440117. assign V078955 = V179694 - 1. assign V893548 = V137679 - 1. assign V293050 = V148926 - 1. assign V738402 = V669489. assign V638259 = V722183. assign V272641 = V572538. assign V886394 = V054298 - 1. assign V964148 = 1. assign V790046 = V409085. assign V426066 = V293050. assign V270994 = V865088 + 1. assign V278730 = V985175 + 1. assign V287448 = V541745 - 1. assign V440117 = V858448 + 1. assign V118959 = V316907 - 1. assign V705611 = V541745. assign V865088 = V939630 - 1. assign V830289 = V829135. assign V316907 = V790046. assign V147210 = V015964 + 1. assign V784938 = V392827 + 1. assign V895082 = V622061 + 1. assign V750517 = V920611 - 1. assign V435614 = V392827 - 1. assign V894187 = V183790 + 1. assign V985186 = V708353 + 1. assign V179694 = V669489 + 1. assign V214372 = V359883 - 1. assign V053199 = V078955 - 1. assign V629887 = V622477. assign V051484 = V807884 - 1. assign V059707 = V450886. assign V379350 = V358580. assign V236267 = V145580 - 1. assign V609035 = V148926 + 1. assign V585907 = V659293 - 1. assign V129740 = V409085 - 1. assign V365448 = V748074 + 1. assign V587216 = V148926. assign V998344 = V042559 - 1. assign V643619 = V179694. assign V718254 = V622477 - 1. assign V211000 = V858448. assign V145580 = V787756 - 1. assign V256023 = V450886 - 1. assign V374891 = V541745 + 1. assign V646258 = V637705 - 1. assign V434292 = V787756. assign V169887 = V417574. assign V090789 = V851889. assign V137679 = V148926 + 1. assign V015964 = V638259. assign V183790 = V137679 - 1. assign V722183 = V920611 - 1. assign V637705 = V609035 - 1. assign V054298 = V869670 + 1. assign V069057 = V646258 + 1. assign V869670 = V805785 - 1. assign V445706 = V272641 - 1. assign V461816 = V858448 - 1. assign V342579 = V602832. assign V521253 = V051484 - 1. assign V669489 = V858448 - 1. assign V058115 = V069057 - 1. assign V731945 = V148926. assign V621720 = V551153 - 1. assign V152986 = V731945 + 1. assign V426112 = V137679. assign V243742 = V266421 - 1. assign V197475 = V342579 + 1. assign V805785 = V137679 + 1. assign V136509 = V886394 + 1. assign V659293 = V637705 + 1. assign V927608 = V865088. assign V382632 = V476358 + 1. assign V770382 = V385435 + 1. assign V309609 = V183790. assign V939630 = V851291. assign V585062 = V440117. assign V385435 = V805785. assign V383825 = V795211 + 1. assign V214558 = V869670 - 1. assign V851889 = V571409. assign V861172 = V426066. assign V796442 = V179694 + 1. assign V266421 = V051484 + 1. assign V107140 = V440117. assign V224716 = V858448 - 1. assign V428897 = V638259 + 1. assign V683489 = V341654 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV964148 = 1;\n\nFrom these direct assignment(s), we have: \nV669847 = V964148 - 1 = 1 - 1 =0;\nNo other variables can be derived from V669847;\nNo other variables can be derived from V964148;\n\nNow we have done all the calculations. Derived variables are:\nV964148 = 1;\nV669847 = 0;\n\nNow we have finished this problem. ANSWER:\nV669847\n", "role": "assistant" } ]

[ "V794277", "V873113" ]

[ { "content": "<context>\nassign V766348 = V723700. assign V077697 = V510029 + 1. assign V160413 = V125203. assign V746993 = V324563 - 1. assign V711606 = V125203 + 1. assign V952034 = V824424. assign V382025 = V113235. assign V443252 = V905053. assign V099391 = V712493. assign V773215 = V382660 + 1. assign V185325 = V011138 - 1. assign V719103 = V197746. assign V735024 = V498206 + 1. assign V674497 = V517638 + 1. assign V940607 = V906529 - 1. assign V498206 = V262140 - 1. assign V354618 = V378970 + 1. assign V744506 = V355245. assign V716601 = V516207 - 1. assign V448214 = V757769 - 1. assign V510029 = V342386. assign V791257 = V349377. assign V812643 = V942815 + 1. assign V957242 = V498206 + 1. assign V991896 = V674497 + 1. assign V868503 = V383961 + 1. assign V712493 = V470561 - 1. assign V804276 = V788464. assign V426607 = V644075 + 1. assign V601582 = V726802 - 1. assign V726802 = V674497. assign V047955 = V452265 - 1. assign V491212 = V795243. assign V254173 = V250474. assign V836249 = V773215 + 1. assign V663083 = V113235 + 1. assign V192041 = V906529. assign V562688 = V794342 - 1. assign V071173 = V905053 - 1. assign V026588 = V114655. assign V436052 = V501660 - 1. assign V897302 = V905053 + 1. assign V657275 = V837893 + 1. assign V226702 = V986918 - 1. assign V986918 = V794342 - 1. assign V262140 = V517638 - 1. assign V873113 = V794277. assign V770213 = V382025. assign V874801 = V618255. assign V830433 = V517638. assign V920252 = V498206. assign V197746 = V794342 - 1. assign V183131 = V252701 + 1. assign V304785 = V812643 - 1. assign V169908 = V794342 + 1. assign V187901 = V941970. assign V043359 = V501660. assign V520816 = V125832. assign V142451 = V716601 - 1. assign V626168 = V355245 + 1. assign V788464 = V142451. assign V793433 = V564145 - 1. assign V830437 = V657275 - 1. assign V608528 = V507676 + 1. assign V377699 = V562688 + 1. assign V810563 = V383961 - 1. assign V011138 = V355245 - 1. assign V355245 = V998732. assign V342386 = V637784. assign V824424 = V324563 + 1. assign V708021 = V874801 + 1. assign V252701 = V674497 - 1. assign V378970 = V837893 + 1. assign V786150 = V514474 + 1. assign V420267 = V553805 + 1. assign V210843 = V757769. assign V731910 = V562688 - 1. assign V654130 = V323566 + 1. assign V168692 = V906529 - 1. assign V723700 = V562688. assign V935945 = V114655 - 1. assign V946528 = V940607. assign V906529 = V998732 - 1. assign V794277 = 0. assign V837893 = V809602 + 1. assign V045345 = V991896 - 1. assign V509081 = V045345 + 1. assign V407611 = V498206. assign V554166 = V218305 + 1. assign V905053 = V855596 + 1. assign V739650 = V510029 - 1. assign V315608 = V498206. assign V794342 = V998732 + 1. assign V784326 = V355245. assign V271974 = V377699. assign V501660 = V564145. assign V699464 = V262140. assign V855596 = V618255 + 1. assign V329749 = V252701 - 1. assign V393446 = V407611 + 1. assign V759795 = V509081. assign V644304 = V757769 + 1. assign V372018 = V554166 + 1. assign V637784 = V420267 - 1. assign V454376 = V125203. assign V703308 = V498206 + 1. assign V360552 = V372018 - 1. assign V514474 = V312246 + 1. assign V832633 = V164135. assign V746128 = V637784 - 1. assign V170398 = V045345 + 1. assign V028087 = V401599 - 1. assign V415168 = V991896. assign V464895 = V564145 + 1. assign V753159 = V099391 - 1. assign V259987 = V935945. assign V382660 = V723700 + 1. assign V164135 = V618255 - 1. assign V125203 = V874801 + 1. assign V470561 = V744506 - 1. assign V644075 = V940607. assign V125832 = V618255. assign V022045 = V868503 + 1. assign V877785 = V644075 - 1. assign V113235 = V226702 + 1. assign V223949 = V443252 - 1. assign V527294 = V380576 + 1. assign V618255 = V757769 + 1. assign V670194 = V271974 + 1. assign V452265 = V940607. assign V327470 = V509081 - 1. assign V023180 = V601582. assign V218305 = V601582. assign V795243 = V674497 + 1. assign V250474 = V608528 + 1. assign V198004 = V940607 + 1. assign V144713 = V868503. assign V046421 = V744506 + 1. assign V380576 = V507676 - 1. assign V383961 = V470561. assign V955045 = V327470 + 1. assign V488157 = V169908. assign V210713 = V516207 + 1. assign V323566 = V509081 - 1. assign V757051 = V420267 + 1. assign V708916 = V164135 + 1. assign V942815 = V125203. assign V809602 = V601582 + 1. assign V337202 = V874801 - 1. assign V553805 = V564145 - 1. assign V349377 = V940607 + 1. assign V324563 = V114655. assign V401599 = V644075. assign V614988 = V377699 + 1. assign V114655 = V355245 - 1. assign V826370 = V614988. assign V712536 = V045345 + 1. assign V757769 = V794342. assign V517638 = V794342 - 1. assign V175331 = V926633 - 1. assign V564145 = V723700 - 1. assign V941970 = V327470. assign V132390 = V509081 - 1. assign V943862 = V855596 + 1. assign V794561 = V618255. assign V507676 = V723700 - 1. assign V926633 = V712536 - 1. assign V097874 = V830433 - 1. assign V312246 = V794342. assign V342664 = V868503 - 1. assign V600960 = V210713 + 1. assign V516207 = V382660.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V766348 = V723700. assign V077697 = V510029 + 1. assign V160413 = V125203. assign V746993 = V324563 - 1. assign V711606 = V125203 + 1. assign V952034 = V824424. assign V382025 = V113235. assign V443252 = V905053. assign V099391 = V712493. assign V773215 = V382660 + 1. assign V185325 = V011138 - 1. assign V719103 = V197746. assign V735024 = V498206 + 1. assign V674497 = V517638 + 1. assign V940607 = V906529 - 1. assign V498206 = V262140 - 1. assign V354618 = V378970 + 1. assign V744506 = V355245. assign V716601 = V516207 - 1. assign V448214 = V757769 - 1. assign V510029 = V342386. assign V791257 = V349377. assign V812643 = V942815 + 1. assign V957242 = V498206 + 1. assign V991896 = V674497 + 1. assign V868503 = V383961 + 1. assign V712493 = V470561 - 1. assign V804276 = V788464. assign V426607 = V644075 + 1. assign V601582 = V726802 - 1. assign V726802 = V674497. assign V047955 = V452265 - 1. assign V491212 = V795243. assign V254173 = V250474. assign V836249 = V773215 + 1. assign V663083 = V113235 + 1. assign V192041 = V906529. assign V562688 = V794342 - 1. assign V071173 = V905053 - 1. assign V026588 = V114655. assign V436052 = V501660 - 1. assign V897302 = V905053 + 1. assign V657275 = V837893 + 1. assign V226702 = V986918 - 1. assign V986918 = V794342 - 1. assign V262140 = V517638 - 1. assign V873113 = V794277. assign V770213 = V382025. assign V874801 = V618255. assign V830433 = V517638. assign V920252 = V498206. assign V197746 = V794342 - 1. assign V183131 = V252701 + 1. assign V304785 = V812643 - 1. assign V169908 = V794342 + 1. assign V187901 = V941970. assign V043359 = V501660. assign V520816 = V125832. assign V142451 = V716601 - 1. assign V626168 = V355245 + 1. assign V788464 = V142451. assign V793433 = V564145 - 1. assign V830437 = V657275 - 1. assign V608528 = V507676 + 1. assign V377699 = V562688 + 1. assign V810563 = V383961 - 1. assign V011138 = V355245 - 1. assign V355245 = V998732. assign V342386 = V637784. assign V824424 = V324563 + 1. assign V708021 = V874801 + 1. assign V252701 = V674497 - 1. assign V378970 = V837893 + 1. assign V786150 = V514474 + 1. assign V420267 = V553805 + 1. assign V210843 = V757769. assign V731910 = V562688 - 1. assign V654130 = V323566 + 1. assign V168692 = V906529 - 1. assign V723700 = V562688. assign V935945 = V114655 - 1. assign V946528 = V940607. assign V906529 = V998732 - 1. assign V794277 = 0. assign V837893 = V809602 + 1. assign V045345 = V991896 - 1. assign V509081 = V045345 + 1. assign V407611 = V498206. assign V554166 = V218305 + 1. assign V905053 = V855596 + 1. assign V739650 = V510029 - 1. assign V315608 = V498206. assign V794342 = V998732 + 1. assign V784326 = V355245. assign V271974 = V377699. assign V501660 = V564145. assign V699464 = V262140. assign V855596 = V618255 + 1. assign V329749 = V252701 - 1. assign V393446 = V407611 + 1. assign V759795 = V509081. assign V644304 = V757769 + 1. assign V372018 = V554166 + 1. assign V637784 = V420267 - 1. assign V454376 = V125203. assign V703308 = V498206 + 1. assign V360552 = V372018 - 1. assign V514474 = V312246 + 1. assign V832633 = V164135. assign V746128 = V637784 - 1. assign V170398 = V045345 + 1. assign V028087 = V401599 - 1. assign V415168 = V991896. assign V464895 = V564145 + 1. assign V753159 = V099391 - 1. assign V259987 = V935945. assign V382660 = V723700 + 1. assign V164135 = V618255 - 1. assign V125203 = V874801 + 1. assign V470561 = V744506 - 1. assign V644075 = V940607. assign V125832 = V618255. assign V022045 = V868503 + 1. assign V877785 = V644075 - 1. assign V113235 = V226702 + 1. assign V223949 = V443252 - 1. assign V527294 = V380576 + 1. assign V618255 = V757769 + 1. assign V670194 = V271974 + 1. assign V452265 = V940607. assign V327470 = V509081 - 1. assign V023180 = V601582. assign V218305 = V601582. assign V795243 = V674497 + 1. assign V250474 = V608528 + 1. assign V198004 = V940607 + 1. assign V144713 = V868503. assign V046421 = V744506 + 1. assign V380576 = V507676 - 1. assign V383961 = V470561. assign V955045 = V327470 + 1. assign V488157 = V169908. assign V210713 = V516207 + 1. assign V323566 = V509081 - 1. assign V757051 = V420267 + 1. assign V708916 = V164135 + 1. assign V942815 = V125203. assign V809602 = V601582 + 1. assign V337202 = V874801 - 1. assign V553805 = V564145 - 1. assign V349377 = V940607 + 1. assign V324563 = V114655. assign V401599 = V644075. assign V614988 = V377699 + 1. assign V114655 = V355245 - 1. assign V826370 = V614988. assign V712536 = V045345 + 1. assign V757769 = V794342. assign V517638 = V794342 - 1. assign V175331 = V926633 - 1. assign V564145 = V723700 - 1. assign V941970 = V327470. assign V132390 = V509081 - 1. assign V943862 = V855596 + 1. assign V794561 = V618255. assign V507676 = V723700 - 1. assign V926633 = V712536 - 1. assign V097874 = V830433 - 1. assign V312246 = V794342. assign V342664 = V868503 - 1. assign V600960 = V210713 + 1. assign V516207 = V382660.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV794277 = 0;\n\nFrom these direct assignment(s), we have: \nV873113 = V794277 = 0;\nNo other variables can be derived from V873113;\nNo other variables can be derived from V794277;\n\nNow we have done all the calculations. Derived variables are:\nV794277 = 0;\nV873113 = 0;\n\nNow we have finished this problem. ANSWER:\nV794277, V873113\n", "role": "assistant" } ]

[ "V256941" ]

[ { "content": "<context>\nassign V673873 = V526568 - 1. assign V996335 = V730527 - 1. assign V832662 = V326926 - 1. assign V526540 = V322963. assign V322963 = V672063 + 1. assign V173626 = V784548 + 1. assign V777690 = V996335. assign V431250 = V400887 + 1. assign V180990 = V679973 - 1. assign V090560 = V883121 + 1. assign V381380 = V672063. assign V361544 = V492341 - 1. assign V519194 = V873014. assign V154032 = V326926 - 1. assign V956352 = V784548 - 1. assign V797705 = V524911. assign V802172 = V873014 + 1. assign V798703 = V762632. assign V120871 = V770819 - 1. assign V040534 = V883121 + 1. assign V526568 = V835923. assign V884083 = V249491. assign V911257 = V150100 + 1. assign V738661 = V972206 + 1. assign V901440 = V524911 + 1. assign V875249 = V154032 - 1. assign V459304 = V701445 + 1. assign V252480 = V370603 - 1. assign V596302 = V832662 - 1. assign V782479 = V274461 + 1. assign V638258 = V154032 - 1. assign V704256 = V762632 + 1. assign V652083 = V704256 + 1. assign V572746 = V150100 - 1. assign V835923 = V322963 + 1. assign V291949 = V944031. assign V844865 = V677677 + 1. assign V232262 = V905497 + 1. assign V856673 = V677677. assign V950449 = V691460. assign V360676 = V677677 + 1. assign V492341 = V809120 + 1. assign V707268 = V963292. assign V140605 = V832662. assign V415725 = V492341 - 1. assign V798537 = V679973. assign V273578 = V856673. assign V568796 = V701445 - 1. assign V522146 = V451724. assign V898824 = V672063 + 1. assign V326926 = V944031 - 1. assign V026303 = V524911. assign V337172 = V572746 - 1. assign V267647 = V677677. assign V856514 = V873014 - 1. assign V307287 = V274461 + 1. assign V211223 = V120871 + 1. assign V914351 = V631649 - 1. assign V427729 = V596302 + 1. assign V155861 = V482973 + 1. assign V658354 = V273578 - 1. assign V482538 = V815279 + 1. assign V455961 = V631649 + 1. assign V631649 = V720083. assign V123720 = V619502 + 1. assign V873014 = V680783 - 1. assign V666432 = V856673 + 1. assign V770819 = V431250. assign V289809 = V359696 + 1. assign V575614 = V956352 - 1. assign V560355 = V904160 + 1. assign V594977 = V884083 - 1. assign V542681 = V155861. assign V837058 = V798537 + 1. assign V253841 = V762632. assign V963292 = V431250 - 1. assign V720083 = V568796 - 1. assign V923185 = V691406 + 1. assign V164142 = V370603 - 1. assign V272219 = V875249 - 1. assign V369349 = V962572 + 1. assign V203669 = V777690. assign V859026 = V972206 + 1. assign V930520 = V542384 - 1. assign V378016 = V688145. assign V595708 = V482973 - 1. assign V946852 = V950449 + 1. assign V986384 = V638258. assign V018497 = V729031 - 1. assign V230627 = V482973. assign V524911 = V235932 + 1. assign V688186 = V197106 - 1. assign V279001 = V658354. assign V677677 = V542681. assign V676606 = V563941 + 1. assign V053578 = V574970. assign V619502 = V378016 + 1. assign V249491 = V568796 + 1. assign V501196 = V322963 - 1. assign V697503 = V704256 + 1. assign V581991 = V026303. assign V944031 = V482973 + 1. assign V427858 = V249491 - 1. assign V988954 = V572746. assign V972206 = V150100 + 1. assign V729031 = V962572 + 1. assign V904160 = V338161 - 1. assign V642369 = V378016. assign V000715 = V680783 - 1. assign V641331 = V757560 - 1. assign V357391 = V186729 - 1. assign V665071 = V274461. assign V509419 = V279001. assign V679973 = V267647. assign V271888 = V150100 - 1. assign V206138 = V400887 - 1. assign V186729 = V370603. assign V672063 = V972206 - 1. assign V875262 = V704256. assign V014354 = V757560 - 1. assign V993182 = V253841 - 1. assign V784548 = V400887 - 1. assign V374633 = V186729. assign V742975 = V988954 - 1. assign V815279 = V026303 + 1. assign V088629 = V400887. assign V809120 = V155861 - 1. assign V369969 = V486544. assign V730527 = V150100 - 1. assign V666313 = V090560. assign V466687 = V914351. assign V821581 = V400887. assign V943888 = V253841 - 1. assign V486544 = V357391 + 1. assign V542384 = V875262 + 1. assign V359696 = V923185. assign V563941 = V996335. assign V962572 = V762632. assign V905497 = V337172. assign V150100 = V400887 - 1. assign V762632 = V944031. assign V972180 = V427858 - 1. assign V604047 = V235932. assign V691406 = V856673. assign V283621 = V638258. assign V883121 = V235932. assign V763961 = V944031 + 1. assign V370603 = V274461 + 1. assign V688145 = V701445. assign V338161 = V232262 - 1. assign V757560 = V088629 - 1. assign V670095 = V956352. assign V499154 = V875262 - 1. assign V197106 = V638258. assign V400887 = V542681 + 1. assign V256941 = 9. assign V691460 = V677677 - 1. assign V766191 = V154032. assign V145111 = V950449. assign V679800 = V337172 + 1. assign V782611 = V140605. assign V178221 = V666432 + 1. assign V274461 = V155861 + 1. assign V197991 = V996335 - 1. assign V701445 = V730527 - 1. assign V561352 = V963292 + 1. assign V417010 = V256941 + 1. assign V451724 = V088629. assign V672139 = V253841. assign V235932 = V155861 - 1. assign V680783 = V688145 - 1. assign V574970 = V197106.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V673873 = V526568 - 1. assign V996335 = V730527 - 1. assign V832662 = V326926 - 1. assign V526540 = V322963. assign V322963 = V672063 + 1. assign V173626 = V784548 + 1. assign V777690 = V996335. assign V431250 = V400887 + 1. assign V180990 = V679973 - 1. assign V090560 = V883121 + 1. assign V381380 = V672063. assign V361544 = V492341 - 1. assign V519194 = V873014. assign V154032 = V326926 - 1. assign V956352 = V784548 - 1. assign V797705 = V524911. assign V802172 = V873014 + 1. assign V798703 = V762632. assign V120871 = V770819 - 1. assign V040534 = V883121 + 1. assign V526568 = V835923. assign V884083 = V249491. assign V911257 = V150100 + 1. assign V738661 = V972206 + 1. assign V901440 = V524911 + 1. assign V875249 = V154032 - 1. assign V459304 = V701445 + 1. assign V252480 = V370603 - 1. assign V596302 = V832662 - 1. assign V782479 = V274461 + 1. assign V638258 = V154032 - 1. assign V704256 = V762632 + 1. assign V652083 = V704256 + 1. assign V572746 = V150100 - 1. assign V835923 = V322963 + 1. assign V291949 = V944031. assign V844865 = V677677 + 1. assign V232262 = V905497 + 1. assign V856673 = V677677. assign V950449 = V691460. assign V360676 = V677677 + 1. assign V492341 = V809120 + 1. assign V707268 = V963292. assign V140605 = V832662. assign V415725 = V492341 - 1. assign V798537 = V679973. assign V273578 = V856673. assign V568796 = V701445 - 1. assign V522146 = V451724. assign V898824 = V672063 + 1. assign V326926 = V944031 - 1. assign V026303 = V524911. assign V337172 = V572746 - 1. assign V267647 = V677677. assign V856514 = V873014 - 1. assign V307287 = V274461 + 1. assign V211223 = V120871 + 1. assign V914351 = V631649 - 1. assign V427729 = V596302 + 1. assign V155861 = V482973 + 1. assign V658354 = V273578 - 1. assign V482538 = V815279 + 1. assign V455961 = V631649 + 1. assign V631649 = V720083. assign V123720 = V619502 + 1. assign V873014 = V680783 - 1. assign V666432 = V856673 + 1. assign V770819 = V431250. assign V289809 = V359696 + 1. assign V575614 = V956352 - 1. assign V560355 = V904160 + 1. assign V594977 = V884083 - 1. assign V542681 = V155861. assign V837058 = V798537 + 1. assign V253841 = V762632. assign V963292 = V431250 - 1. assign V720083 = V568796 - 1. assign V923185 = V691406 + 1. assign V164142 = V370603 - 1. assign V272219 = V875249 - 1. assign V369349 = V962572 + 1. assign V203669 = V777690. assign V859026 = V972206 + 1. assign V930520 = V542384 - 1. assign V378016 = V688145. assign V595708 = V482973 - 1. assign V946852 = V950449 + 1. assign V986384 = V638258. assign V018497 = V729031 - 1. assign V230627 = V482973. assign V524911 = V235932 + 1. assign V688186 = V197106 - 1. assign V279001 = V658354. assign V677677 = V542681. assign V676606 = V563941 + 1. assign V053578 = V574970. assign V619502 = V378016 + 1. assign V249491 = V568796 + 1. assign V501196 = V322963 - 1. assign V697503 = V704256 + 1. assign V581991 = V026303. assign V944031 = V482973 + 1. assign V427858 = V249491 - 1. assign V988954 = V572746. assign V972206 = V150100 + 1. assign V729031 = V962572 + 1. assign V904160 = V338161 - 1. assign V642369 = V378016. assign V000715 = V680783 - 1. assign V641331 = V757560 - 1. assign V357391 = V186729 - 1. assign V665071 = V274461. assign V509419 = V279001. assign V679973 = V267647. assign V271888 = V150100 - 1. assign V206138 = V400887 - 1. assign V186729 = V370603. assign V672063 = V972206 - 1. assign V875262 = V704256. assign V014354 = V757560 - 1. assign V993182 = V253841 - 1. assign V784548 = V400887 - 1. assign V374633 = V186729. assign V742975 = V988954 - 1. assign V815279 = V026303 + 1. assign V088629 = V400887. assign V809120 = V155861 - 1. assign V369969 = V486544. assign V730527 = V150100 - 1. assign V666313 = V090560. assign V466687 = V914351. assign V821581 = V400887. assign V943888 = V253841 - 1. assign V486544 = V357391 + 1. assign V542384 = V875262 + 1. assign V359696 = V923185. assign V563941 = V996335. assign V962572 = V762632. assign V905497 = V337172. assign V150100 = V400887 - 1. assign V762632 = V944031. assign V972180 = V427858 - 1. assign V604047 = V235932. assign V691406 = V856673. assign V283621 = V638258. assign V883121 = V235932. assign V763961 = V944031 + 1. assign V370603 = V274461 + 1. assign V688145 = V701445. assign V338161 = V232262 - 1. assign V757560 = V088629 - 1. assign V670095 = V956352. assign V499154 = V875262 - 1. assign V197106 = V638258. assign V400887 = V542681 + 1. assign V256941 = 9. assign V691460 = V677677 - 1. assign V766191 = V154032. assign V145111 = V950449. assign V679800 = V337172 + 1. assign V782611 = V140605. assign V178221 = V666432 + 1. assign V274461 = V155861 + 1. assign V197991 = V996335 - 1. assign V701445 = V730527 - 1. assign V561352 = V963292 + 1. assign V417010 = V256941 + 1. assign V451724 = V088629. assign V672139 = V253841. assign V235932 = V155861 - 1. assign V680783 = V688145 - 1. assign V574970 = V197106.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV256941 = 9;\n\nFrom these direct assignment(s), we have: \nV417010 = V256941 + 1 = 9 + 1 =10;\nNo other variables can be derived from V417010;\nNo other variables can be derived from V256941;\n\nNow we have done all the calculations. Derived variables are:\nV256941 = 9;\nV417010 = 10;\n\nNow we have finished this problem. ANSWER:\nV256941\n", "role": "assistant" } ]

[ "V768794" ]

[ { "content": "<context>\nassign V357522 = V181316. assign V346289 = V149537. assign V616973 = V410865 + 1. assign V427890 = V181316. assign V865097 = V709838 - 1. assign V068258 = V883941. assign V490904 = V357522. assign V182442 = V980365 - 1. assign V987222 = V181316. assign V067352 = V486869. assign V279603 = V350797 - 1. assign V895173 = V481287 + 1. assign V267412 = V445634 - 1. assign V293589 = V123468. assign V215501 = V987222 + 1. assign V565489 = V357522 + 1. assign V409306 = V486869. assign V356815 = V530712 + 1. assign V978875 = V832383 - 1. assign V147876 = V642682 + 1. assign V973168 = V506999 - 1. assign V866103 = V293589 - 1. assign V424144 = V445634 - 1. assign V354483 = V865097 + 1. assign V947413 = V530829 - 1. assign V263145 = V530829 - 1. assign V379786 = V530829. assign V280587 = V987222 + 1. assign V473299 = V529926 - 1. assign V438746 = V752190 + 1. assign V186586 = V039796 + 1. assign V849580 = V777770. assign V712355 = V223413 - 1. assign V708934 = V948492 - 1. assign V752190 = V480668. assign V691131 = V530829. assign V236496 = V237644 + 1. assign V971753 = V832383. assign V582326 = V490904 + 1. assign V849221 = V181316 + 1. assign V049201 = V403522 + 1. assign V768794 = 3. assign V223413 = V003559 - 1. assign V231073 = V756858 - 1. assign V263329 = V626106 - 1. assign V181316 = V064115. assign V707057 = V249596 - 1. assign V410865 = V777770 - 1. assign V085445 = V529926 + 1. assign V653999 = V231073. assign V214777 = V250066 + 1. assign V506999 = V980365 - 1. assign V897765 = V145019. assign V480668 = V948492 + 1. assign V676447 = V068258. assign V883941 = V049328 - 1. assign V322574 = V473299. assign V578878 = V128840 - 1. assign V015190 = V984600 - 1. assign V769451 = V865097 + 1. assign V145019 = V366269. assign V752096 = V888248. assign V149537 = V622147 - 1. assign V849339 = V622147. assign V639794 = V003559 - 1. assign V957236 = V849348. assign V872919 = V849339. assign V190562 = V947413 + 1. assign V796033 = V752190 - 1. assign V237644 = V231073 + 1. assign V170680 = V039796 - 1. assign V346874 = V653999. assign V676078 = V975569. assign V437437 = V445634 - 1. assign V771615 = V149537 - 1. assign V876411 = V480668. assign V009696 = V461034 - 1. assign V104346 = V980365 + 1. assign V685155 = V445634 - 1. assign V512900 = V622147 + 1. assign V486869 = V622147 + 1. assign V141859 = V064115. assign V249596 = V622147. assign V832383 = V403522. assign V115194 = V948492 - 1. assign V830346 = V250066 + 1. assign V912112 = V354483. assign V100457 = V665827 + 1. assign V363889 = V947413 - 1. assign V686787 = V642682 + 1. assign V665827 = V340388. assign V403522 = V250066 - 1. assign V530829 = V622147 + 1. assign V803716 = V865097. assign V518195 = V039796 + 1. assign V975569 = V123468 - 1. assign V049328 = V832383 + 1. assign V812287 = V849221 - 1. assign V390374 = V900635 - 1. assign V626106 = V445634 - 1. assign V144319 = V622147. assign V338797 = V948492 + 1. assign V642682 = V396273. assign V345244 = V356815 + 1. assign V222234 = V064115. assign V686324 = V900635 + 1. assign V529926 = V459502 + 1. assign V903857 = V708934. assign V917816 = V685155 + 1. assign V530712 = V144319 + 1. assign V481287 = V396740 + 1. assign V478996 = V458590 + 1. assign V883682 = V128840 - 1. assign V270979 = V709838 - 1. assign V123468 = V512900 + 1. assign V151080 = V530712 - 1. assign V499294 = V984600 + 1. assign V368814 = V888248 - 1. assign V948492 = V512900 - 1. assign V612814 = V530712 + 1. assign V888248 = V049328. assign V847356 = V293589 + 1. assign V039796 = V350797 + 1. assign V256421 = V499294 - 1. assign V353751 = V161158 - 1. assign V003761 = V975569 - 1. assign V161158 = V849221 + 1. assign V366269 = V123468. assign V311553 = V128840. assign V350797 = V984600. assign V709838 = V458590. assign V980365 = V480668 - 1. assign V396273 = V900635 - 1. assign V009831 = V067352. assign V637535 = V866103 + 1. assign V021970 = V769451 + 1. assign V003559 = V249596. assign V637178 = V578878 + 1. assign V768158 = V403522 + 1. assign V777770 = V231073 - 1. assign V458590 = V250066 + 1. assign V900635 = V876411. assign V445634 = V512900. assign V202118 = V768794 - 1. assign V250066 = V249596. assign V694626 = V115194 + 1. assign V409002 = V340388. assign V849348 = V141859 - 1. assign V125779 = V752096 + 1. assign V984600 = V181316 + 1. assign V994325 = V302301 - 1. assign V756858 = V064115 + 1. assign V804464 = V832383 + 1. assign V248443 = V003559 + 1. assign V514421 = V003559 + 1. assign V420928 = V777770 - 1. assign V302301 = V607070. assign V055983 = V777770 - 1. assign V661751 = V849221 + 1. assign V459502 = V237644 + 1. assign V943790 = V685155. assign V042882 = V064115 + 1. assign V606925 = V768158 - 1. assign V648706 = V141859. assign V128840 = V123468 - 1. assign V518823 = V458590 + 1. assign V461034 = V480668. assign V607070 = V003559. assign V340388 = V849221 - 1. assign V396740 = V123468. assign V622147 = V064115. assign V255950 = V279603.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V357522 = V181316. assign V346289 = V149537. assign V616973 = V410865 + 1. assign V427890 = V181316. assign V865097 = V709838 - 1. assign V068258 = V883941. assign V490904 = V357522. assign V182442 = V980365 - 1. assign V987222 = V181316. assign V067352 = V486869. assign V279603 = V350797 - 1. assign V895173 = V481287 + 1. assign V267412 = V445634 - 1. assign V293589 = V123468. assign V215501 = V987222 + 1. assign V565489 = V357522 + 1. assign V409306 = V486869. assign V356815 = V530712 + 1. assign V978875 = V832383 - 1. assign V147876 = V642682 + 1. assign V973168 = V506999 - 1. assign V866103 = V293589 - 1. assign V424144 = V445634 - 1. assign V354483 = V865097 + 1. assign V947413 = V530829 - 1. assign V263145 = V530829 - 1. assign V379786 = V530829. assign V280587 = V987222 + 1. assign V473299 = V529926 - 1. assign V438746 = V752190 + 1. assign V186586 = V039796 + 1. assign V849580 = V777770. assign V712355 = V223413 - 1. assign V708934 = V948492 - 1. assign V752190 = V480668. assign V691131 = V530829. assign V236496 = V237644 + 1. assign V971753 = V832383. assign V582326 = V490904 + 1. assign V849221 = V181316 + 1. assign V049201 = V403522 + 1. assign V768794 = 3. assign V223413 = V003559 - 1. assign V231073 = V756858 - 1. assign V263329 = V626106 - 1. assign V181316 = V064115. assign V707057 = V249596 - 1. assign V410865 = V777770 - 1. assign V085445 = V529926 + 1. assign V653999 = V231073. assign V214777 = V250066 + 1. assign V506999 = V980365 - 1. assign V897765 = V145019. assign V480668 = V948492 + 1. assign V676447 = V068258. assign V883941 = V049328 - 1. assign V322574 = V473299. assign V578878 = V128840 - 1. assign V015190 = V984600 - 1. assign V769451 = V865097 + 1. assign V145019 = V366269. assign V752096 = V888248. assign V149537 = V622147 - 1. assign V849339 = V622147. assign V639794 = V003559 - 1. assign V957236 = V849348. assign V872919 = V849339. assign V190562 = V947413 + 1. assign V796033 = V752190 - 1. assign V237644 = V231073 + 1. assign V170680 = V039796 - 1. assign V346874 = V653999. assign V676078 = V975569. assign V437437 = V445634 - 1. assign V771615 = V149537 - 1. assign V876411 = V480668. assign V009696 = V461034 - 1. assign V104346 = V980365 + 1. assign V685155 = V445634 - 1. assign V512900 = V622147 + 1. assign V486869 = V622147 + 1. assign V141859 = V064115. assign V249596 = V622147. assign V832383 = V403522. assign V115194 = V948492 - 1. assign V830346 = V250066 + 1. assign V912112 = V354483. assign V100457 = V665827 + 1. assign V363889 = V947413 - 1. assign V686787 = V642682 + 1. assign V665827 = V340388. assign V403522 = V250066 - 1. assign V530829 = V622147 + 1. assign V803716 = V865097. assign V518195 = V039796 + 1. assign V975569 = V123468 - 1. assign V049328 = V832383 + 1. assign V812287 = V849221 - 1. assign V390374 = V900635 - 1. assign V626106 = V445634 - 1. assign V144319 = V622147. assign V338797 = V948492 + 1. assign V642682 = V396273. assign V345244 = V356815 + 1. assign V222234 = V064115. assign V686324 = V900635 + 1. assign V529926 = V459502 + 1. assign V903857 = V708934. assign V917816 = V685155 + 1. assign V530712 = V144319 + 1. assign V481287 = V396740 + 1. assign V478996 = V458590 + 1. assign V883682 = V128840 - 1. assign V270979 = V709838 - 1. assign V123468 = V512900 + 1. assign V151080 = V530712 - 1. assign V499294 = V984600 + 1. assign V368814 = V888248 - 1. assign V948492 = V512900 - 1. assign V612814 = V530712 + 1. assign V888248 = V049328. assign V847356 = V293589 + 1. assign V039796 = V350797 + 1. assign V256421 = V499294 - 1. assign V353751 = V161158 - 1. assign V003761 = V975569 - 1. assign V161158 = V849221 + 1. assign V366269 = V123468. assign V311553 = V128840. assign V350797 = V984600. assign V709838 = V458590. assign V980365 = V480668 - 1. assign V396273 = V900635 - 1. assign V009831 = V067352. assign V637535 = V866103 + 1. assign V021970 = V769451 + 1. assign V003559 = V249596. assign V637178 = V578878 + 1. assign V768158 = V403522 + 1. assign V777770 = V231073 - 1. assign V458590 = V250066 + 1. assign V900635 = V876411. assign V445634 = V512900. assign V202118 = V768794 - 1. assign V250066 = V249596. assign V694626 = V115194 + 1. assign V409002 = V340388. assign V849348 = V141859 - 1. assign V125779 = V752096 + 1. assign V984600 = V181316 + 1. assign V994325 = V302301 - 1. assign V756858 = V064115 + 1. assign V804464 = V832383 + 1. assign V248443 = V003559 + 1. assign V514421 = V003559 + 1. assign V420928 = V777770 - 1. assign V302301 = V607070. assign V055983 = V777770 - 1. assign V661751 = V849221 + 1. assign V459502 = V237644 + 1. assign V943790 = V685155. assign V042882 = V064115 + 1. assign V606925 = V768158 - 1. assign V648706 = V141859. assign V128840 = V123468 - 1. assign V518823 = V458590 + 1. assign V461034 = V480668. assign V607070 = V003559. assign V340388 = V849221 - 1. assign V396740 = V123468. assign V622147 = V064115. assign V255950 = V279603.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV768794 = 3;\n\nFrom these direct assignment(s), we have: \nV202118 = V768794 - 1 = 3 - 1 =2;\nNo other variables can be derived from V202118;\nNo other variables can be derived from V768794;\n\nNow we have done all the calculations. Derived variables are:\nV768794 = 3;\nV202118 = 2;\n\nNow we have finished this problem. ANSWER:\nV768794\n", "role": "assistant" } ]

[ "V257286" ]

[ { "content": "<context>\nassign V210701 = V444527 - 1. assign V398994 = V779558 + 1. assign V965445 = V662017. assign V805833 = V965445. assign V052926 = V062756. assign V231605 = V413604 + 1. assign V981830 = V749881 + 1. assign V502737 = V198917 - 1. assign V184511 = V523353. assign V362632 = V062756 - 1. assign V560312 = V091018 - 1. assign V431780 = V124899 - 1. assign V076251 = V328427 + 1. assign V131140 = V630459 - 1. assign V275825 = V142818 + 1. assign V628302 = V198917 + 1. assign V714287 = V981830 - 1. assign V373176 = V680040. assign V129467 = V714760 - 1. assign V884982 = V714760 + 1. assign V495061 = V872172. assign V996496 = V178044. assign V115295 = V680306. assign V017333 = V872172 + 1. assign V622621 = V884982. assign V283850 = V818199 + 1. assign V617037 = V114487 + 1. assign V375459 = V142050. assign V572856 = V417123 - 1. assign V836645 = V714760 + 1. assign V551121 = V417123 + 1. assign V755504 = V076251 - 1. assign V136069 = V417123 - 1. assign V989559 = V198917 - 1. assign V749881 = V417123 + 1. assign V370836 = V274445. assign V955687 = V198917 - 1. assign V137130 = V362632. assign V969367 = V467873 + 1. assign V069905 = V684531 - 1. assign V705735 = V444527. assign V236913 = V662017 - 1. assign V158330 = V255131 - 1. assign V114487 = V413604 - 1. assign V177147 = V299371 - 1. assign V444527 = V417123 + 1. assign V571159 = V670877 - 1. assign V139989 = V257061 + 1. assign V987171 = V700204. assign V515280 = V129467. assign V773310 = V680306. assign V684531 = V779558 - 1. assign V564362 = V630459 - 1. assign V630459 = V670877 + 1. assign V304088 = V283850 - 1. assign V990420 = V158330. assign V186032 = V889169 - 1. assign V617994 = V274445 - 1. assign V729911 = V915968 + 1. assign V523353 = V714760. assign V480371 = V744704 + 1. assign V451214 = V538815. assign V812784 = V383768 - 1. assign V365061 = V887085. assign V818199 = V888622 + 1. assign V889169 = V215809 + 1. assign V698371 = V257061 - 1. assign V232886 = V670877 - 1. assign V558339 = V231605 + 1. assign V532853 = V131140 - 1. assign V103143 = V184786 + 1. assign V991799 = V628302 - 1. assign V712571 = V698371 - 1. assign V372539 = V417123 - 1. assign V915968 = V417123 - 1. assign V944806 = V142818 - 1. assign V739561 = V966027 + 1. assign V536543 = V215809 - 1. assign V536600 = V969367 - 1. assign V383768 = V670877 - 1. assign V184786 = V005320. assign V005320 = V705735 - 1. assign V124899 = V682052. assign V899104 = V938757 + 1. assign V206616 = V966329 + 1. assign V910172 = V953953. assign V966027 = V705735 - 1. assign V682052 = V551121 + 1. assign V299371 = V186032 - 1. assign V369799 = V966027. assign V779558 = V890870 + 1. assign V872172 = V670877 + 1. assign V106103 = V274445 - 1. assign V416577 = V017333 + 1. assign V041800 = V255131 - 1. assign V190763 = V970575. assign V538815 = V198917 + 1. assign V537270 = V597627 - 1. assign V142050 = V517986 - 1. assign V662017 = V890870. assign V203098 = V698371 + 1. assign V485799 = V919325 + 1. assign V888622 = V502737. assign V351927 = V966027. assign V413604 = V680040. assign V885801 = V662017. assign V131586 = V628302 + 1. assign V680306 = V617994. assign V597627 = V700204 + 1. assign V967691 = V372539. assign V109606 = V662017 + 1. assign V680040 = V872172 - 1. assign V040720 = V416577 + 1. assign V714760 = V680040 - 1. assign V919325 = V605432 - 1. assign V115229 = V502737 - 1. assign V517986 = V215809. assign V966329 = V413604. assign V872199 = V232886. assign V255131 = V572856 + 1. assign V302408 = V966329. assign V264171 = V953953 - 1. assign V151441 = V670877. assign V112384 = V365061. assign V328427 = V991799. assign V377962 = V955687 + 1. assign V308402 = V831381. assign V779094 = V938757 - 1. assign V701065 = V919325 - 1. assign V198917 = V383768 - 1. assign V178044 = V662017 - 1. assign V298977 = V142818 - 1. assign V146348 = V700098 - 1. assign V113275 = V966329. assign V915153 = V383768 - 1. assign V744704 = V158330 + 1. assign V383645 = V701065 - 1. assign V938757 = V274445. assign V755034 = V531477 - 1. assign V425496 = V308402. assign V953953 = V981830. assign V531477 = V131140 + 1. assign V265114 = V328427 + 1. assign V820034 = V413604 + 1. assign V792395 = 2. assign V951862 = V955687 + 1. assign V215809 = V605432 + 1. assign V605432 = V670877 - 1. assign V142818 = V551121 + 1. assign V700098 = V232886 - 1. assign V017767 = V953953. assign V326558 = V888622. assign V257061 = V662017. assign V435563 = V888622 - 1. assign V467873 = V351927 - 1. assign V603682 = V779558 - 1. assign V970575 = V779558. assign V417123 = V383768 - 1. assign V767525 = V890870 + 1. assign V890870 = V630459 + 1. assign V661739 = V682052 - 1. assign V091018 = V680040 - 1. assign V257286 = V792395 + 1. assign V700204 = V872172 + 1. assign V544307 = V186032. assign V274445 = V955687 - 1. assign V098586 = V991799 + 1. assign V831381 = V915968. assign V887085 = V991799 + 1. assign V904393 = V915968 - 1. assign V062756 = V970575. assign V977776 = V299371.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V210701 = V444527 - 1. assign V398994 = V779558 + 1. assign V965445 = V662017. assign V805833 = V965445. assign V052926 = V062756. assign V231605 = V413604 + 1. assign V981830 = V749881 + 1. assign V502737 = V198917 - 1. assign V184511 = V523353. assign V362632 = V062756 - 1. assign V560312 = V091018 - 1. assign V431780 = V124899 - 1. assign V076251 = V328427 + 1. assign V131140 = V630459 - 1. assign V275825 = V142818 + 1. assign V628302 = V198917 + 1. assign V714287 = V981830 - 1. assign V373176 = V680040. assign V129467 = V714760 - 1. assign V884982 = V714760 + 1. assign V495061 = V872172. assign V996496 = V178044. assign V115295 = V680306. assign V017333 = V872172 + 1. assign V622621 = V884982. assign V283850 = V818199 + 1. assign V617037 = V114487 + 1. assign V375459 = V142050. assign V572856 = V417123 - 1. assign V836645 = V714760 + 1. assign V551121 = V417123 + 1. assign V755504 = V076251 - 1. assign V136069 = V417123 - 1. assign V989559 = V198917 - 1. assign V749881 = V417123 + 1. assign V370836 = V274445. assign V955687 = V198917 - 1. assign V137130 = V362632. assign V969367 = V467873 + 1. assign V069905 = V684531 - 1. assign V705735 = V444527. assign V236913 = V662017 - 1. assign V158330 = V255131 - 1. assign V114487 = V413604 - 1. assign V177147 = V299371 - 1. assign V444527 = V417123 + 1. assign V571159 = V670877 - 1. assign V139989 = V257061 + 1. assign V987171 = V700204. assign V515280 = V129467. assign V773310 = V680306. assign V684531 = V779558 - 1. assign V564362 = V630459 - 1. assign V630459 = V670877 + 1. assign V304088 = V283850 - 1. assign V990420 = V158330. assign V186032 = V889169 - 1. assign V617994 = V274445 - 1. assign V729911 = V915968 + 1. assign V523353 = V714760. assign V480371 = V744704 + 1. assign V451214 = V538815. assign V812784 = V383768 - 1. assign V365061 = V887085. assign V818199 = V888622 + 1. assign V889169 = V215809 + 1. assign V698371 = V257061 - 1. assign V232886 = V670877 - 1. assign V558339 = V231605 + 1. assign V532853 = V131140 - 1. assign V103143 = V184786 + 1. assign V991799 = V628302 - 1. assign V712571 = V698371 - 1. assign V372539 = V417123 - 1. assign V915968 = V417123 - 1. assign V944806 = V142818 - 1. assign V739561 = V966027 + 1. assign V536543 = V215809 - 1. assign V536600 = V969367 - 1. assign V383768 = V670877 - 1. assign V184786 = V005320. assign V005320 = V705735 - 1. assign V124899 = V682052. assign V899104 = V938757 + 1. assign V206616 = V966329 + 1. assign V910172 = V953953. assign V966027 = V705735 - 1. assign V682052 = V551121 + 1. assign V299371 = V186032 - 1. assign V369799 = V966027. assign V779558 = V890870 + 1. assign V872172 = V670877 + 1. assign V106103 = V274445 - 1. assign V416577 = V017333 + 1. assign V041800 = V255131 - 1. assign V190763 = V970575. assign V538815 = V198917 + 1. assign V537270 = V597627 - 1. assign V142050 = V517986 - 1. assign V662017 = V890870. assign V203098 = V698371 + 1. assign V485799 = V919325 + 1. assign V888622 = V502737. assign V351927 = V966027. assign V413604 = V680040. assign V885801 = V662017. assign V131586 = V628302 + 1. assign V680306 = V617994. assign V597627 = V700204 + 1. assign V967691 = V372539. assign V109606 = V662017 + 1. assign V680040 = V872172 - 1. assign V040720 = V416577 + 1. assign V714760 = V680040 - 1. assign V919325 = V605432 - 1. assign V115229 = V502737 - 1. assign V517986 = V215809. assign V966329 = V413604. assign V872199 = V232886. assign V255131 = V572856 + 1. assign V302408 = V966329. assign V264171 = V953953 - 1. assign V151441 = V670877. assign V112384 = V365061. assign V328427 = V991799. assign V377962 = V955687 + 1. assign V308402 = V831381. assign V779094 = V938757 - 1. assign V701065 = V919325 - 1. assign V198917 = V383768 - 1. assign V178044 = V662017 - 1. assign V298977 = V142818 - 1. assign V146348 = V700098 - 1. assign V113275 = V966329. assign V915153 = V383768 - 1. assign V744704 = V158330 + 1. assign V383645 = V701065 - 1. assign V938757 = V274445. assign V755034 = V531477 - 1. assign V425496 = V308402. assign V953953 = V981830. assign V531477 = V131140 + 1. assign V265114 = V328427 + 1. assign V820034 = V413604 + 1. assign V792395 = 2. assign V951862 = V955687 + 1. assign V215809 = V605432 + 1. assign V605432 = V670877 - 1. assign V142818 = V551121 + 1. assign V700098 = V232886 - 1. assign V017767 = V953953. assign V326558 = V888622. assign V257061 = V662017. assign V435563 = V888622 - 1. assign V467873 = V351927 - 1. assign V603682 = V779558 - 1. assign V970575 = V779558. assign V417123 = V383768 - 1. assign V767525 = V890870 + 1. assign V890870 = V630459 + 1. assign V661739 = V682052 - 1. assign V091018 = V680040 - 1. assign V257286 = V792395 + 1. assign V700204 = V872172 + 1. assign V544307 = V186032. assign V274445 = V955687 - 1. assign V098586 = V991799 + 1. assign V831381 = V915968. assign V887085 = V991799 + 1. assign V904393 = V915968 - 1. assign V062756 = V970575. assign V977776 = V299371.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV792395 = 2;\n\nFrom these direct assignment(s), we have: \nV257286 = V792395 + 1 = 2 + 1 =3;\nNo other variables can be derived from V257286;\nNo other variables can be derived from V792395;\n\nNow we have done all the calculations. Derived variables are:\nV792395 = 2;\nV257286 = 3;\n\nNow we have finished this problem. ANSWER:\nV257286\n", "role": "assistant" } ]

[ "V099531" ]

[ { "content": "<context>\nassign V840857 = V117984 - 1. assign V904568 = V098474 - 1. assign V054702 = V319152 - 1. assign V656169 = V963568. assign V019994 = V963568. assign V124918 = V973089. assign V822015 = V332033 + 1. assign V627568 = V644675. assign V388685 = V214301. assign V291845 = V840857 - 1. assign V593927 = V786883 + 1. assign V273799 = V645629 + 1. assign V878819 = V475367 - 1. assign V656061 = V475367. assign V621777 = V967161 - 1. assign V332033 = V963568. assign V284314 = V319162. assign V141761 = V410188. assign V324396 = V665815 - 1. assign V189960 = V869942 + 1. assign V036643 = V098474 + 1. assign V188591 = V567331. assign V454832 = V966171 - 1. assign V343203 = V760961 - 1. assign V455382 = V859528. assign V476538 = V768184 + 1. assign V759969 = V436304. assign V573679 = V045733 - 1. assign V245546 = V832419 - 1. assign V308342 = V573679 - 1. assign V873622 = V993987 - 1. assign V705126 = V019994 + 1. assign V786883 = V840750. assign V949398 = V796858 + 1. assign V812261 = V760961. assign V107137 = V967161 - 1. assign V928296 = V127223. assign V888715 = V421914 + 1. assign V161261 = V291845 - 1. assign V608639 = V366334. assign V796858 = V678550. assign V355518 = V117984. assign V302441 = V099531 + 1. assign V045733 = V127223. assign V931132 = V189960 + 1. assign V822434 = V328722 - 1. assign V836752 = V421914 - 1. assign V430136 = V010890 - 1. assign V081952 = V054702 + 1. assign V814804 = V864451 - 1. assign V309401 = V045733. assign V840428 = V355518 - 1. assign V034545 = V188591. assign V298797 = V963568. assign V319152 = V840750 + 1. assign V630993 = V319152. assign V843827 = V260649. assign V386046 = V426746 - 1. assign V099531 = 6. assign V838572 = V573679 + 1. assign V478093 = V573679. assign V678550 = V332033 - 1. assign V319162 = V019994. assign V470142 = V563776 + 1. assign V571187 = V645629 - 1. assign V923680 = V245546. assign V397219 = V675711 + 1. assign V260649 = V563776 - 1. assign V436304 = V486724 + 1. assign V483543 = V949398 + 1. assign V259739 = V573679 + 1. assign V973089 = V328722 - 1. assign V768184 = V691162 + 1. assign V955473 = V908562 - 1. assign V583496 = V089986. assign V893433 = V527060 + 1. assign V029096 = V262696. assign V062732 = V260649. assign V028279 = V355518 + 1. assign V967161 = V019994 + 1. assign V849387 = V081952 - 1. assign V671943 = V963568 - 1. assign V124664 = V085317 - 1. assign V926407 = V358353. assign V900847 = V410188. assign V908562 = V117984 - 1. assign V421914 = V615949 - 1. assign V214301 = V840857. assign V643068 = V426746 + 1. assign V418033 = V475367 - 1. assign V328722 = V332033 + 1. assign V184436 = V117984 + 1. assign V527060 = V127223 + 1. assign V027195 = V421914 - 1. assign V546568 = V934116. assign V353781 = V127223 + 1. assign V000867 = V630586. assign V983363 = V907599. assign V267435 = V840857 + 1. assign V630586 = V966171 + 1. assign V689827 = V207557 - 1. assign V326223 = V907599 + 1. assign V707131 = V475367 + 1. assign V475367 = V019994 - 1. assign V548984 = V332236 + 1. assign V366334 = V940099 + 1. assign V157154 = V476949. assign V010890 = V454832 - 1. assign V133677 = V567331 + 1. assign V313631 = V127223 - 1. assign V563776 = V117984 + 1. assign V426746 = V028279 + 1. assign V311775 = V904568 + 1. assign V358353 = V678550. assign V098474 = V418033 + 1. assign V812774 = V590241 - 1. assign V993987 = V319152 - 1. assign V760961 = V328722 + 1. assign V645629 = V298797 + 1. assign V665815 = V000867 - 1. assign V691162 = V421914 - 1. assign V518910 = V027347 - 1. assign V368600 = V573679 - 1. assign V620534 = V527060 - 1. assign V043687 = V311775. assign V590241 = V671943 - 1. assign V675711 = V189960 + 1. assign V332236 = V705126 - 1. assign V907599 = V421914 + 1. assign V573088 = V328722. assign V840750 = V189960. assign V207557 = V328722. assign V945010 = V573088. assign V486724 = V231852 - 1. assign V321857 = V231852. assign V864451 = V840857 + 1. assign V231852 = V563776 + 1. assign V027347 = V426746. assign V622043 = V045733 - 1. assign V303457 = V691162. assign V127223 = V908562 - 1. assign V729428 = V397219 + 1. assign V853278 = V963568 + 1. assign V934116 = V923680. assign V117984 = V019994 - 1. assign V612799 = V689827. assign V602865 = V410188 - 1. assign V627778 = V418033. assign V476949 = V838415 - 1. assign V832419 = V840750 - 1. assign V859528 = V267435. assign V898449 = V812261 + 1. assign V372698 = V470142 + 1. assign V869942 = V355518 + 1. assign V180818 = V475367 + 1. assign V567331 = V967161 + 1. assign V626767 = V928296 - 1. assign V089986 = V945010 + 1. assign V838415 = V822015 + 1. assign V410188 = V854153 + 1. assign V740186 = V840857 + 1. assign V615949 = V678550 + 1. assign V520379 = V843827. assign V262696 = V707131. assign V644675 = V940099 - 1. assign V854153 = V267435. assign V085317 = V822015 + 1. assign V205646 = V262696 - 1. assign V940099 = V563776. assign V923475 = V010890. assign V966171 = V028279 + 1. assign V980846 = V812774.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V840857 = V117984 - 1. assign V904568 = V098474 - 1. assign V054702 = V319152 - 1. assign V656169 = V963568. assign V019994 = V963568. assign V124918 = V973089. assign V822015 = V332033 + 1. assign V627568 = V644675. assign V388685 = V214301. assign V291845 = V840857 - 1. assign V593927 = V786883 + 1. assign V273799 = V645629 + 1. assign V878819 = V475367 - 1. assign V656061 = V475367. assign V621777 = V967161 - 1. assign V332033 = V963568. assign V284314 = V319162. assign V141761 = V410188. assign V324396 = V665815 - 1. assign V189960 = V869942 + 1. assign V036643 = V098474 + 1. assign V188591 = V567331. assign V454832 = V966171 - 1. assign V343203 = V760961 - 1. assign V455382 = V859528. assign V476538 = V768184 + 1. assign V759969 = V436304. assign V573679 = V045733 - 1. assign V245546 = V832419 - 1. assign V308342 = V573679 - 1. assign V873622 = V993987 - 1. assign V705126 = V019994 + 1. assign V786883 = V840750. assign V949398 = V796858 + 1. assign V812261 = V760961. assign V107137 = V967161 - 1. assign V928296 = V127223. assign V888715 = V421914 + 1. assign V161261 = V291845 - 1. assign V608639 = V366334. assign V796858 = V678550. assign V355518 = V117984. assign V302441 = V099531 + 1. assign V045733 = V127223. assign V931132 = V189960 + 1. assign V822434 = V328722 - 1. assign V836752 = V421914 - 1. assign V430136 = V010890 - 1. assign V081952 = V054702 + 1. assign V814804 = V864451 - 1. assign V309401 = V045733. assign V840428 = V355518 - 1. assign V034545 = V188591. assign V298797 = V963568. assign V319152 = V840750 + 1. assign V630993 = V319152. assign V843827 = V260649. assign V386046 = V426746 - 1. assign V099531 = 6. assign V838572 = V573679 + 1. assign V478093 = V573679. assign V678550 = V332033 - 1. assign V319162 = V019994. assign V470142 = V563776 + 1. assign V571187 = V645629 - 1. assign V923680 = V245546. assign V397219 = V675711 + 1. assign V260649 = V563776 - 1. assign V436304 = V486724 + 1. assign V483543 = V949398 + 1. assign V259739 = V573679 + 1. assign V973089 = V328722 - 1. assign V768184 = V691162 + 1. assign V955473 = V908562 - 1. assign V583496 = V089986. assign V893433 = V527060 + 1. assign V029096 = V262696. assign V062732 = V260649. assign V028279 = V355518 + 1. assign V967161 = V019994 + 1. assign V849387 = V081952 - 1. assign V671943 = V963568 - 1. assign V124664 = V085317 - 1. assign V926407 = V358353. assign V900847 = V410188. assign V908562 = V117984 - 1. assign V421914 = V615949 - 1. assign V214301 = V840857. assign V643068 = V426746 + 1. assign V418033 = V475367 - 1. assign V328722 = V332033 + 1. assign V184436 = V117984 + 1. assign V527060 = V127223 + 1. assign V027195 = V421914 - 1. assign V546568 = V934116. assign V353781 = V127223 + 1. assign V000867 = V630586. assign V983363 = V907599. assign V267435 = V840857 + 1. assign V630586 = V966171 + 1. assign V689827 = V207557 - 1. assign V326223 = V907599 + 1. assign V707131 = V475367 + 1. assign V475367 = V019994 - 1. assign V548984 = V332236 + 1. assign V366334 = V940099 + 1. assign V157154 = V476949. assign V010890 = V454832 - 1. assign V133677 = V567331 + 1. assign V313631 = V127223 - 1. assign V563776 = V117984 + 1. assign V426746 = V028279 + 1. assign V311775 = V904568 + 1. assign V358353 = V678550. assign V098474 = V418033 + 1. assign V812774 = V590241 - 1. assign V993987 = V319152 - 1. assign V760961 = V328722 + 1. assign V645629 = V298797 + 1. assign V665815 = V000867 - 1. assign V691162 = V421914 - 1. assign V518910 = V027347 - 1. assign V368600 = V573679 - 1. assign V620534 = V527060 - 1. assign V043687 = V311775. assign V590241 = V671943 - 1. assign V675711 = V189960 + 1. assign V332236 = V705126 - 1. assign V907599 = V421914 + 1. assign V573088 = V328722. assign V840750 = V189960. assign V207557 = V328722. assign V945010 = V573088. assign V486724 = V231852 - 1. assign V321857 = V231852. assign V864451 = V840857 + 1. assign V231852 = V563776 + 1. assign V027347 = V426746. assign V622043 = V045733 - 1. assign V303457 = V691162. assign V127223 = V908562 - 1. assign V729428 = V397219 + 1. assign V853278 = V963568 + 1. assign V934116 = V923680. assign V117984 = V019994 - 1. assign V612799 = V689827. assign V602865 = V410188 - 1. assign V627778 = V418033. assign V476949 = V838415 - 1. assign V832419 = V840750 - 1. assign V859528 = V267435. assign V898449 = V812261 + 1. assign V372698 = V470142 + 1. assign V869942 = V355518 + 1. assign V180818 = V475367 + 1. assign V567331 = V967161 + 1. assign V626767 = V928296 - 1. assign V089986 = V945010 + 1. assign V838415 = V822015 + 1. assign V410188 = V854153 + 1. assign V740186 = V840857 + 1. assign V615949 = V678550 + 1. assign V520379 = V843827. assign V262696 = V707131. assign V644675 = V940099 - 1. assign V854153 = V267435. assign V085317 = V822015 + 1. assign V205646 = V262696 - 1. assign V940099 = V563776. assign V923475 = V010890. assign V966171 = V028279 + 1. assign V980846 = V812774.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV099531 = 6;\n\nFrom these direct assignment(s), we have: \nV302441 = V099531 + 1 = 6 + 1 =7;\nNo other variables can be derived from V302441;\nNo other variables can be derived from V099531;\n\nNow we have done all the calculations. Derived variables are:\nV099531 = 6;\nV302441 = 7;\n\nNow we have finished this problem. ANSWER:\nV099531\n", "role": "assistant" } ]

[ "V177057" ]

[ { "content": "<context>\nassign V879766 = V944830. assign V096777 = V993959. assign V074032 = V927618 - 1. assign V866254 = V579716 + 1. assign V373448 = V866254. assign V821172 = V948669. assign V317535 = V491017 - 1. assign V091601 = V757288 + 1. assign V935708 = V436761. assign V516721 = V811701 + 1. assign V421462 = V338993 - 1. assign V834141 = V172289 + 1. assign V632831 = V757288. assign V156872 = V091601. assign V442653 = V993959 + 1. assign V008864 = V779968. assign V764824 = V972173 - 1. assign V443776 = V244074. assign V172289 = V018511 + 1. assign V287595 = V993959 - 1. assign V757288 = V779968 - 1. assign V876221 = V346535 - 1. assign V618286 = V607882 - 1. assign V533550 = V521667. assign V177057 = 1. assign V179679 = V177057 + 1. assign V524662 = V935708. assign V273175 = V211083 - 1. assign V389122 = V196351 - 1. assign V866538 = V779968. assign V009419 = V993959 - 1. assign V630393 = V211083. assign V327943 = V834141 + 1. assign V438809 = V346535 + 1. assign V781931 = V491017 + 1. assign V862444 = V389122 - 1. assign V088255 = V319458 + 1. assign V733396 = V436761 + 1. assign V362829 = V866254. assign V932619 = V646599 + 1. assign V346535 = V356758 - 1. assign V636670 = V091601 + 1. assign V656377 = V880503 + 1. assign V750191 = V106386 + 1. assign V037671 = V270665. assign V757987 = V072712 + 1. assign V388715 = V865557 + 1. assign V175879 = V439747. assign V243108 = V415915 - 1. assign V410590 = V607882. assign V769920 = V356758 - 1. assign V971617 = V358911. assign V288189 = V377959 - 1. assign V196351 = V105885 + 1. assign V002015 = V105885. assign V371449 = V319458 - 1. assign V525039 = V281603 - 1. assign V466535 = V757288 + 1. assign V270665 = V993959. assign V518641 = V430115. assign V761238 = V770143 + 1. assign V904698 = V391298. assign V211083 = V154446. assign V944830 = V583820 - 1. assign V447992 = V779968. assign V127791 = V543822 - 1. assign V573545 = V531534. assign V741912 = V927618 + 1. assign V825681 = V317535 - 1. assign V436761 = V531534 + 1. assign V358911 = V287595 - 1. assign V894676 = V880503. assign V018511 = V972173 - 1. assign V593338 = V741912 - 1. assign V612866 = V127791 + 1. assign V830633 = V646599 + 1. assign V560902 = V288189 - 1. assign V865557 = V317535. assign V975564 = V993959. assign V927618 = V757288 + 1. assign V646599 = V356758 - 1. assign V764645 = V781931 - 1. assign V811701 = V657143 + 1. assign V101468 = V348642. assign V531534 = V091601. assign V285531 = V866538 - 1. assign V332573 = V533550 - 1. assign V476892 = V536720 - 1. assign V312453 = V646599 + 1. assign V430115 = V779968 - 1. assign V495599 = V356916 - 1. assign V941478 = V757288 + 1. assign V223441 = V477542 - 1. assign V841765 = V091601 + 1. assign V559325 = V838268. assign V813980 = V270665 - 1. assign V195563 = V547450 + 1. assign V521667 = V373448 + 1. assign V301261 = V002015 - 1. assign V356916 = V993959 - 1. assign V076244 = V373448 + 1. assign V611071 = V338993. assign V585482 = V781931. assign V583820 = V972173 + 1. assign V894364 = V281603 - 1. assign V828155 = V436761 + 1. assign V057140 = V391298 + 1. assign V485888 = V285531. assign V579716 = V993959 - 1. assign V838268 = V338993. assign V948669 = V243108 - 1. assign V437620 = V841765. assign V106386 = V876221 + 1. assign V072285 = V348642 - 1. assign V050803 = V757288 - 1. assign V439747 = V074032 + 1. assign V779968 = V346535 + 1. assign V446775 = V437620 - 1. assign V244074 = V438809. assign V154446 = V346535 - 1. assign V348642 = V346535. assign V338993 = V880503 - 1. assign V398346 = V880503 + 1. assign V770143 = V779968 + 1. assign V168388 = V657143 + 1. assign V131291 = V447992 + 1. assign V057763 = V611071. assign V334749 = V736706 - 1. assign V823575 = V543822. assign V693715 = V823575 + 1. assign V243927 = V011145 - 1. assign V237249 = V830633 + 1. assign V105211 = V371449. assign V972173 = V876221. assign V993959 = V876221. assign V566748 = V301261. assign V092797 = V521667 - 1. assign V377959 = V830633. assign V607882 = V317535 + 1. assign V072712 = V770143 - 1. assign V319458 = V865557 - 1. assign V011145 = V076244 + 1. assign V040678 = V476892. assign V616286 = V002015 - 1. assign V736706 = V757987. assign V281603 = V611071. assign V351595 = V543822. assign V543932 = V880503 + 1. assign V086578 = V583820 - 1. assign V391298 = V373448. assign V543822 = V841765 - 1. assign V495549 = V446775 - 1. assign V701796 = V430115 + 1. assign V415915 = V779968 + 1. assign V600464 = V524662. assign V491017 = V894676. assign V657143 = V927618 + 1. assign V477542 = V927618 - 1. assign V880503 = V356758. assign V333763 = V935708. assign V492735 = V823575 - 1. assign V547450 = V388715 - 1. assign V634704 = V447992 + 1. assign V286231 = V693715 - 1. assign V589498 = V770143. assign V105885 = V866538. assign V662574 = V362829. assign V982516 = V823575. assign V536720 = V356916 - 1. assign V788800 = V646599. assign V051707 = V088255 - 1. assign V501565 = V757288 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V879766 = V944830. assign V096777 = V993959. assign V074032 = V927618 - 1. assign V866254 = V579716 + 1. assign V373448 = V866254. assign V821172 = V948669. assign V317535 = V491017 - 1. assign V091601 = V757288 + 1. assign V935708 = V436761. assign V516721 = V811701 + 1. assign V421462 = V338993 - 1. assign V834141 = V172289 + 1. assign V632831 = V757288. assign V156872 = V091601. assign V442653 = V993959 + 1. assign V008864 = V779968. assign V764824 = V972173 - 1. assign V443776 = V244074. assign V172289 = V018511 + 1. assign V287595 = V993959 - 1. assign V757288 = V779968 - 1. assign V876221 = V346535 - 1. assign V618286 = V607882 - 1. assign V533550 = V521667. assign V177057 = 1. assign V179679 = V177057 + 1. assign V524662 = V935708. assign V273175 = V211083 - 1. assign V389122 = V196351 - 1. assign V866538 = V779968. assign V009419 = V993959 - 1. assign V630393 = V211083. assign V327943 = V834141 + 1. assign V438809 = V346535 + 1. assign V781931 = V491017 + 1. assign V862444 = V389122 - 1. assign V088255 = V319458 + 1. assign V733396 = V436761 + 1. assign V362829 = V866254. assign V932619 = V646599 + 1. assign V346535 = V356758 - 1. assign V636670 = V091601 + 1. assign V656377 = V880503 + 1. assign V750191 = V106386 + 1. assign V037671 = V270665. assign V757987 = V072712 + 1. assign V388715 = V865557 + 1. assign V175879 = V439747. assign V243108 = V415915 - 1. assign V410590 = V607882. assign V769920 = V356758 - 1. assign V971617 = V358911. assign V288189 = V377959 - 1. assign V196351 = V105885 + 1. assign V002015 = V105885. assign V371449 = V319458 - 1. assign V525039 = V281603 - 1. assign V466535 = V757288 + 1. assign V270665 = V993959. assign V518641 = V430115. assign V761238 = V770143 + 1. assign V904698 = V391298. assign V211083 = V154446. assign V944830 = V583820 - 1. assign V447992 = V779968. assign V127791 = V543822 - 1. assign V573545 = V531534. assign V741912 = V927618 + 1. assign V825681 = V317535 - 1. assign V436761 = V531534 + 1. assign V358911 = V287595 - 1. assign V894676 = V880503. assign V018511 = V972173 - 1. assign V593338 = V741912 - 1. assign V612866 = V127791 + 1. assign V830633 = V646599 + 1. assign V560902 = V288189 - 1. assign V865557 = V317535. assign V975564 = V993959. assign V927618 = V757288 + 1. assign V646599 = V356758 - 1. assign V764645 = V781931 - 1. assign V811701 = V657143 + 1. assign V101468 = V348642. assign V531534 = V091601. assign V285531 = V866538 - 1. assign V332573 = V533550 - 1. assign V476892 = V536720 - 1. assign V312453 = V646599 + 1. assign V430115 = V779968 - 1. assign V495599 = V356916 - 1. assign V941478 = V757288 + 1. assign V223441 = V477542 - 1. assign V841765 = V091601 + 1. assign V559325 = V838268. assign V813980 = V270665 - 1. assign V195563 = V547450 + 1. assign V521667 = V373448 + 1. assign V301261 = V002015 - 1. assign V356916 = V993959 - 1. assign V076244 = V373448 + 1. assign V611071 = V338993. assign V585482 = V781931. assign V583820 = V972173 + 1. assign V894364 = V281603 - 1. assign V828155 = V436761 + 1. assign V057140 = V391298 + 1. assign V485888 = V285531. assign V579716 = V993959 - 1. assign V838268 = V338993. assign V948669 = V243108 - 1. assign V437620 = V841765. assign V106386 = V876221 + 1. assign V072285 = V348642 - 1. assign V050803 = V757288 - 1. assign V439747 = V074032 + 1. assign V779968 = V346535 + 1. assign V446775 = V437620 - 1. assign V244074 = V438809. assign V154446 = V346535 - 1. assign V348642 = V346535. assign V338993 = V880503 - 1. assign V398346 = V880503 + 1. assign V770143 = V779968 + 1. assign V168388 = V657143 + 1. assign V131291 = V447992 + 1. assign V057763 = V611071. assign V334749 = V736706 - 1. assign V823575 = V543822. assign V693715 = V823575 + 1. assign V243927 = V011145 - 1. assign V237249 = V830633 + 1. assign V105211 = V371449. assign V972173 = V876221. assign V993959 = V876221. assign V566748 = V301261. assign V092797 = V521667 - 1. assign V377959 = V830633. assign V607882 = V317535 + 1. assign V072712 = V770143 - 1. assign V319458 = V865557 - 1. assign V011145 = V076244 + 1. assign V040678 = V476892. assign V616286 = V002015 - 1. assign V736706 = V757987. assign V281603 = V611071. assign V351595 = V543822. assign V543932 = V880503 + 1. assign V086578 = V583820 - 1. assign V391298 = V373448. assign V543822 = V841765 - 1. assign V495549 = V446775 - 1. assign V701796 = V430115 + 1. assign V415915 = V779968 + 1. assign V600464 = V524662. assign V491017 = V894676. assign V657143 = V927618 + 1. assign V477542 = V927618 - 1. assign V880503 = V356758. assign V333763 = V935708. assign V492735 = V823575 - 1. assign V547450 = V388715 - 1. assign V634704 = V447992 + 1. assign V286231 = V693715 - 1. assign V589498 = V770143. assign V105885 = V866538. assign V662574 = V362829. assign V982516 = V823575. assign V536720 = V356916 - 1. assign V788800 = V646599. assign V051707 = V088255 - 1. assign V501565 = V757288 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV177057 = 1;\n\nFrom these direct assignment(s), we have: \nV179679 = V177057 + 1 = 1 + 1 =2;\nNo other variables can be derived from V179679;\nNo other variables can be derived from V177057;\n\nNow we have done all the calculations. Derived variables are:\nV177057 = 1;\nV179679 = 2;\n\nNow we have finished this problem. ANSWER:\nV177057\n", "role": "assistant" } ]

[ "V107747" ]

[ { "content": "<context>\nassign V827627 = V543283 + 1. assign V107747 = 10. assign V912291 = V199310 + 1. assign V454176 = V702277. assign V884102 = V771103 - 1. assign V574733 = V677531. assign V908675 = V001220. assign V523497 = V568974. assign V721917 = V701326 - 1. assign V470096 = V638485 - 1. assign V050080 = V771103 + 1. assign V486066 = V410072 - 1. assign V414941 = V206956 - 1. assign V731377 = V764080 - 1. assign V132081 = V010535 - 1. assign V575592 = V055383 - 1. assign V354978 = V358287 + 1. assign V372113 = V324953 + 1. assign V248229 = V354978. assign V941029 = V030214. assign V481991 = V030054 - 1. assign V493523 = V170650 + 1. assign V718007 = V638254. assign V377047 = V731473 + 1. assign V927918 = V950065 - 1. assign V156037 = V055383. assign V638254 = V001220. assign V306684 = V701326 - 1. assign V519322 = V381144 - 1. assign V641055 = V580806. assign V308938 = V322093. assign V795049 = V638485. assign V640851 = V773432. assign V030054 = V406594 + 1. assign V277458 = V354978. assign V079626 = V261105 + 1. assign V548706 = V702277 - 1. assign V160232 = V693307 - 1. assign V623554 = V580806 + 1. assign V670674 = V381144. assign V957403 = V773432 + 1. assign V953130 = V199310 - 1. assign V143392 = V715393 - 1. assign V030214 = V050080 - 1. assign V261105 = V030054. assign V001315 = V333655. assign V915821 = V931586 + 1. assign V235392 = V580806. assign V276018 = V943017. assign V055416 = V735293. assign V702277 = V587325 + 1. assign V410072 = V623554 + 1. assign V893776 = V277458. assign V152709 = V261105 - 1. assign V587325 = V917774. assign V207133 = V640851 + 1. assign V168942 = V638254. assign V324953 = V206956 + 1. assign V917774 = V737533. assign V239142 = V580806. assign V207832 = V156037 + 1. assign V099602 = V827347. assign V423742 = V626930 + 1. assign V495434 = V781236 + 1. assign V445806 = V414941. assign V206956 = V917774 - 1. assign V099353 = V090982. assign V827347 = V677531 - 1. assign V944719 = V910242 - 1. assign V987292 = V771103 - 1. assign V350046 = V600770 - 1. assign V251771 = V893776. assign V381144 = V183144. assign V773432 = V587325. assign V896651 = V640851. assign V199310 = V026830 - 1. assign V748095 = V773432 + 1. assign V866929 = V194067 + 1. assign V181500 = V107747 - 1. assign V480917 = V670674 - 1. assign V170650 = V917774 - 1. assign V785267 = V640851 - 1. assign V420467 = V944719 - 1. assign V362232 = V239142. assign V055383 = V785267. assign V490940 = V519322 - 1. assign V480433 = V944719 - 1. assign V580806 = V026830. assign V499490 = V568974 + 1. assign V010535 = V957403 + 1. assign V852466 = V153554. assign V483340 = V623554 - 1. assign V677531 = V623554 + 1. assign V419151 = V702277 + 1. assign V481979 = V324953 + 1. assign V897754 = V406594. assign V701326 = V917774 + 1. assign V001220 = V626930. assign V459642 = V156037. assign V618501 = V587325 + 1. assign V735293 = V199310 + 1. assign V543283 = V737533 - 1. assign V075346 = V683830. assign V433042 = V050080. assign V757323 = V153554 + 1. assign V148056 = V790965. assign V701304 = V055383 - 1. assign V028709 = V153554 + 1. assign V127063 = V019325. assign V961575 = V600770 - 1. assign V739559 = V781236 + 1. assign V194067 = V304240. assign V790965 = V718007 - 1. assign V950085 = V480917. assign V478943 = V010535. assign V683830 = V481991 + 1. assign V304240 = V638485 + 1. assign V926716 = V153554 - 1. assign V672569 = V897754. assign V042565 = V852466 - 1. assign V427061 = V206956 - 1. assign V153554 = V701304 + 1. assign V417280 = V735293 + 1. assign V568974 = V912291 + 1. assign V322093 = V055383 + 1. assign V681602 = V910242 - 1. assign V910242 = V771103. assign V706819 = V206956 - 1. assign V458414 = V370769. assign V661260 = V943017 - 1. assign V557597 = V764080. assign V731473 = V207133 + 1. assign V771103 = V183144 - 1. assign V626930 = V623554 - 1. assign V987450 = V953130. assign V377261 = V030214. assign V302729 = V773432 - 1. assign V968543 = V575592 + 1. assign V370769 = V661260 + 1. assign V740478 = V764080. assign V755052 = V183144. assign V358287 = V055383 - 1. assign V985106 = V917774. assign V037432 = V702277 - 1. assign V943017 = V183144 + 1. assign V944267 = V037432 + 1. assign V600770 = V764080 - 1. assign V406594 = V587325. assign V781236 = V931586 + 1. assign V693398 = V785267 + 1. assign V699376 = V721917 + 1. assign V931586 = V543283 - 1. assign V333655 = V239142 + 1. assign V132632 = V480917 - 1. assign V764080 = V030054 + 1. assign V015721 = V670674. assign V329183 = V015721 - 1. assign V090982 = V406594 + 1. assign V019325 = V543283 + 1. assign V688145 = V781236 + 1. assign V708688 = V001315 + 1. assign V407175 = V587325 + 1. assign V638485 = V701326 + 1. assign V204873 = V693307. assign V183144 = V026830. assign V737533 = V183144. assign V950065 = V764080 + 1. assign V715393 = V735293 + 1. assign V693307 = V322093. assign V719284 = V670674 - 1. assign V735120 = V740478. assign V638526 = V852466 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V827627 = V543283 + 1. assign V107747 = 10. assign V912291 = V199310 + 1. assign V454176 = V702277. assign V884102 = V771103 - 1. assign V574733 = V677531. assign V908675 = V001220. assign V523497 = V568974. assign V721917 = V701326 - 1. assign V470096 = V638485 - 1. assign V050080 = V771103 + 1. assign V486066 = V410072 - 1. assign V414941 = V206956 - 1. assign V731377 = V764080 - 1. assign V132081 = V010535 - 1. assign V575592 = V055383 - 1. assign V354978 = V358287 + 1. assign V372113 = V324953 + 1. assign V248229 = V354978. assign V941029 = V030214. assign V481991 = V030054 - 1. assign V493523 = V170650 + 1. assign V718007 = V638254. assign V377047 = V731473 + 1. assign V927918 = V950065 - 1. assign V156037 = V055383. assign V638254 = V001220. assign V306684 = V701326 - 1. assign V519322 = V381144 - 1. assign V641055 = V580806. assign V308938 = V322093. assign V795049 = V638485. assign V640851 = V773432. assign V030054 = V406594 + 1. assign V277458 = V354978. assign V079626 = V261105 + 1. assign V548706 = V702277 - 1. assign V160232 = V693307 - 1. assign V623554 = V580806 + 1. assign V670674 = V381144. assign V957403 = V773432 + 1. assign V953130 = V199310 - 1. assign V143392 = V715393 - 1. assign V030214 = V050080 - 1. assign V261105 = V030054. assign V001315 = V333655. assign V915821 = V931586 + 1. assign V235392 = V580806. assign V276018 = V943017. assign V055416 = V735293. assign V702277 = V587325 + 1. assign V410072 = V623554 + 1. assign V893776 = V277458. assign V152709 = V261105 - 1. assign V587325 = V917774. assign V207133 = V640851 + 1. assign V168942 = V638254. assign V324953 = V206956 + 1. assign V917774 = V737533. assign V239142 = V580806. assign V207832 = V156037 + 1. assign V099602 = V827347. assign V423742 = V626930 + 1. assign V495434 = V781236 + 1. assign V445806 = V414941. assign V206956 = V917774 - 1. assign V099353 = V090982. assign V827347 = V677531 - 1. assign V944719 = V910242 - 1. assign V987292 = V771103 - 1. assign V350046 = V600770 - 1. assign V251771 = V893776. assign V381144 = V183144. assign V773432 = V587325. assign V896651 = V640851. assign V199310 = V026830 - 1. assign V748095 = V773432 + 1. assign V866929 = V194067 + 1. assign V181500 = V107747 - 1. assign V480917 = V670674 - 1. assign V170650 = V917774 - 1. assign V785267 = V640851 - 1. assign V420467 = V944719 - 1. assign V362232 = V239142. assign V055383 = V785267. assign V490940 = V519322 - 1. assign V480433 = V944719 - 1. assign V580806 = V026830. assign V499490 = V568974 + 1. assign V010535 = V957403 + 1. assign V852466 = V153554. assign V483340 = V623554 - 1. assign V677531 = V623554 + 1. assign V419151 = V702277 + 1. assign V481979 = V324953 + 1. assign V897754 = V406594. assign V701326 = V917774 + 1. assign V001220 = V626930. assign V459642 = V156037. assign V618501 = V587325 + 1. assign V735293 = V199310 + 1. assign V543283 = V737533 - 1. assign V075346 = V683830. assign V433042 = V050080. assign V757323 = V153554 + 1. assign V148056 = V790965. assign V701304 = V055383 - 1. assign V028709 = V153554 + 1. assign V127063 = V019325. assign V961575 = V600770 - 1. assign V739559 = V781236 + 1. assign V194067 = V304240. assign V790965 = V718007 - 1. assign V950085 = V480917. assign V478943 = V010535. assign V683830 = V481991 + 1. assign V304240 = V638485 + 1. assign V926716 = V153554 - 1. assign V672569 = V897754. assign V042565 = V852466 - 1. assign V427061 = V206956 - 1. assign V153554 = V701304 + 1. assign V417280 = V735293 + 1. assign V568974 = V912291 + 1. assign V322093 = V055383 + 1. assign V681602 = V910242 - 1. assign V910242 = V771103. assign V706819 = V206956 - 1. assign V458414 = V370769. assign V661260 = V943017 - 1. assign V557597 = V764080. assign V731473 = V207133 + 1. assign V771103 = V183144 - 1. assign V626930 = V623554 - 1. assign V987450 = V953130. assign V377261 = V030214. assign V302729 = V773432 - 1. assign V968543 = V575592 + 1. assign V370769 = V661260 + 1. assign V740478 = V764080. assign V755052 = V183144. assign V358287 = V055383 - 1. assign V985106 = V917774. assign V037432 = V702277 - 1. assign V943017 = V183144 + 1. assign V944267 = V037432 + 1. assign V600770 = V764080 - 1. assign V406594 = V587325. assign V781236 = V931586 + 1. assign V693398 = V785267 + 1. assign V699376 = V721917 + 1. assign V931586 = V543283 - 1. assign V333655 = V239142 + 1. assign V132632 = V480917 - 1. assign V764080 = V030054 + 1. assign V015721 = V670674. assign V329183 = V015721 - 1. assign V090982 = V406594 + 1. assign V019325 = V543283 + 1. assign V688145 = V781236 + 1. assign V708688 = V001315 + 1. assign V407175 = V587325 + 1. assign V638485 = V701326 + 1. assign V204873 = V693307. assign V183144 = V026830. assign V737533 = V183144. assign V950065 = V764080 + 1. assign V715393 = V735293 + 1. assign V693307 = V322093. assign V719284 = V670674 - 1. assign V735120 = V740478. assign V638526 = V852466 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV107747 = 10;\n\nFrom these direct assignment(s), we have: \nV181500 = V107747 - 1 = 10 - 1 =9;\nNo other variables can be derived from V181500;\nNo other variables can be derived from V107747;\n\nNow we have done all the calculations. Derived variables are:\nV107747 = 10;\nV181500 = 9;\n\nNow we have finished this problem. ANSWER:\nV107747\n", "role": "assistant" } ]

[ "V664112" ]

[ { "content": "<context>\nassign V323655 = V915700. assign V967582 = V873235. assign V376444 = V768166 - 1. assign V469728 = V172828 + 1. assign V289798 = V563546 + 1. assign V320840 = V768166 + 1. assign V072199 = V527058 - 1. assign V368644 = V944683 - 1. assign V810563 = V287056. assign V390527 = V183327 + 1. assign V498395 = V675028. assign V527058 = V104434 + 1. assign V586702 = V360233. assign V886261 = V836681. assign V098050 = V454836 - 1. assign V740441 = V365626 + 1. assign V759691 = V022140 - 1. assign V979589 = V126118 - 1. assign V085299 = V750522. assign V844579 = V498395 + 1. assign V552998 = V311315 + 1. assign V217586 = V436116 - 1. assign V113592 = V527058. assign V385369 = V675028 - 1. assign V606393 = V390527. assign V673252 = V163152 - 1. assign V311315 = V167229 + 1. assign V971248 = V552998 - 1. assign V052872 = V740441. assign V518519 = V873355. assign V469221 = V676869 - 1. assign V798957 = V944683. assign V167229 = V675028 + 1. assign V881255 = V791690 - 1. assign V573032 = V140071 - 1. assign V015307 = V573032 - 1. assign V458826 = V320840 - 1. assign V909823 = V001610 - 1. assign V622734 = 7. assign V768166 = V675028 - 1. assign V873235 = V791683 - 1. assign V563546 = V892374 + 1. assign V553235 = V015307 - 1. assign V222202 = V357951 - 1. assign V081080 = V267498 - 1. assign V338404 = V426037. assign V454836 = V498395 - 1. assign V612727 = V022140. assign V898785 = V348742 + 1. assign V104434 = V394618 - 1. assign V749243 = V995208. assign V650243 = V348742 + 1. assign V172828 = V650243 - 1. assign V360233 = V353184 - 1. assign V768632 = V466025. assign V961557 = V850437 + 1. assign V974666 = V798957. assign V645507 = V065198. assign V001610 = V488409. assign V337146 = V511996. assign V312464 = V394618. assign V483563 = V482547 + 1. assign V750522 = V805610 + 1. assign V964743 = V426037. assign V905170 = V070113. assign V353184 = V183327 - 1. assign V163152 = V650243 + 1. assign V255742 = V287056. assign V831110 = V791683 - 1. assign V287056 = V126118. assign V801713 = V167229 - 1. assign V172023 = V875347 + 1. assign V705876 = V881255. assign V830925 = V798957 - 1. assign V387632 = V353184 - 1. assign V986042 = V915700 - 1. assign V074619 = V984039 + 1. assign V085739 = V580780 - 1. assign V218751 = V385369. assign V805610 = V488409 - 1. assign V984039 = V167913 + 1. assign V065198 = V902467. assign V426037 = V311315. assign V472306 = V320840 + 1. assign V693986 = V411408. assign V022140 = V167229. assign V057217 = V171749 - 1. assign V842723 = V385369. assign V195202 = V967582 + 1. assign V465029 = V890889. assign V487469 = V801713 + 1. assign V221100 = V140071 - 1. assign V433036 = V311315 + 1. assign V646468 = V810563 + 1. assign V365577 = V759691 - 1. assign V064974 = V394618. assign V267498 = V580780 - 1. assign V824839 = V433036 - 1. assign V418937 = V348742 - 1. assign V102661 = V357951. assign V411408 = V140071 + 1. assign V717790 = V580780 + 1. assign V902467 = V986042. assign V772910 = V022140 + 1. assign V482547 = V881255 + 1. assign V875347 = V890889. assign V167913 = V606393. assign V423543 = V454836. assign V394618 = V376444 + 1. assign V532082 = V801713 - 1. assign V716916 = V791683. assign V413117 = V104434. assign V944683 = V353184. assign V409497 = V390527 - 1. assign V183327 = V167229. assign V259198 = V890889 + 1. assign V511996 = V167229 - 1. assign V126118 = V842723 - 1. assign V915700 = V890889. assign V873355 = V929149. assign V791683 = V385369. assign V357951 = V768166 - 1. assign V772255 = V552998 - 1. assign V892374 = V001610 - 1. assign V348742 = V126118. assign V664453 = V123164 - 1. assign V464150 = V944683. assign V873226 = V409497 + 1. assign V771351 = V070113. assign V676869 = V986042 + 1. assign V651834 = V070113. assign V474543 = V759691 + 1. assign V580780 = V311315. assign V549449 = V488409 + 1. assign V903197 = V498395. assign V850437 = V365626 + 1. assign V995208 = V771351 - 1. assign V551974 = V900099 + 1. assign V767940 = V890889. assign V548408 = V113592 + 1. assign V748169 = V458826 + 1. assign V656812 = V433036 + 1. assign V365626 = V311315 + 1. assign V525197 = V768166 + 1. assign V664112 = V622734 - 1. assign V872643 = V348742. assign V753262 = V365577. assign V140071 = V183327 - 1. assign V890889 = V488409. assign V206897 = V986042 - 1. assign V929149 = V909823 + 1. assign V428056 = V850437. assign V466025 = V488409 - 1. assign V070113 = V768166 + 1. assign V142724 = V394618 - 1. assign V288674 = V810563 - 1. assign V023836 = V651834 + 1. assign V282806 = V902467 + 1. assign V171749 = V126118. assign V900099 = V844579. assign V488409 = V798957 - 1. assign V414084 = V915700 - 1. assign V102788 = V768166. assign V385654 = V255742 + 1. assign V753933 = V768166 + 1. assign V436116 = V454836. assign V073697 = V915700 - 1. assign V537794 = V338404 - 1. assign V751379 = V085299. assign V836681 = V073697 + 1. assign V123164 = V552998. assign V791690 = V464150 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V323655 = V915700. assign V967582 = V873235. assign V376444 = V768166 - 1. assign V469728 = V172828 + 1. assign V289798 = V563546 + 1. assign V320840 = V768166 + 1. assign V072199 = V527058 - 1. assign V368644 = V944683 - 1. assign V810563 = V287056. assign V390527 = V183327 + 1. assign V498395 = V675028. assign V527058 = V104434 + 1. assign V586702 = V360233. assign V886261 = V836681. assign V098050 = V454836 - 1. assign V740441 = V365626 + 1. assign V759691 = V022140 - 1. assign V979589 = V126118 - 1. assign V085299 = V750522. assign V844579 = V498395 + 1. assign V552998 = V311315 + 1. assign V217586 = V436116 - 1. assign V113592 = V527058. assign V385369 = V675028 - 1. assign V606393 = V390527. assign V673252 = V163152 - 1. assign V311315 = V167229 + 1. assign V971248 = V552998 - 1. assign V052872 = V740441. assign V518519 = V873355. assign V469221 = V676869 - 1. assign V798957 = V944683. assign V167229 = V675028 + 1. assign V881255 = V791690 - 1. assign V573032 = V140071 - 1. assign V015307 = V573032 - 1. assign V458826 = V320840 - 1. assign V909823 = V001610 - 1. assign V622734 = 7. assign V768166 = V675028 - 1. assign V873235 = V791683 - 1. assign V563546 = V892374 + 1. assign V553235 = V015307 - 1. assign V222202 = V357951 - 1. assign V081080 = V267498 - 1. assign V338404 = V426037. assign V454836 = V498395 - 1. assign V612727 = V022140. assign V898785 = V348742 + 1. assign V104434 = V394618 - 1. assign V749243 = V995208. assign V650243 = V348742 + 1. assign V172828 = V650243 - 1. assign V360233 = V353184 - 1. assign V768632 = V466025. assign V961557 = V850437 + 1. assign V974666 = V798957. assign V645507 = V065198. assign V001610 = V488409. assign V337146 = V511996. assign V312464 = V394618. assign V483563 = V482547 + 1. assign V750522 = V805610 + 1. assign V964743 = V426037. assign V905170 = V070113. assign V353184 = V183327 - 1. assign V163152 = V650243 + 1. assign V255742 = V287056. assign V831110 = V791683 - 1. assign V287056 = V126118. assign V801713 = V167229 - 1. assign V172023 = V875347 + 1. assign V705876 = V881255. assign V830925 = V798957 - 1. assign V387632 = V353184 - 1. assign V986042 = V915700 - 1. assign V074619 = V984039 + 1. assign V085739 = V580780 - 1. assign V218751 = V385369. assign V805610 = V488409 - 1. assign V984039 = V167913 + 1. assign V065198 = V902467. assign V426037 = V311315. assign V472306 = V320840 + 1. assign V693986 = V411408. assign V022140 = V167229. assign V057217 = V171749 - 1. assign V842723 = V385369. assign V195202 = V967582 + 1. assign V465029 = V890889. assign V487469 = V801713 + 1. assign V221100 = V140071 - 1. assign V433036 = V311315 + 1. assign V646468 = V810563 + 1. assign V365577 = V759691 - 1. assign V064974 = V394618. assign V267498 = V580780 - 1. assign V824839 = V433036 - 1. assign V418937 = V348742 - 1. assign V102661 = V357951. assign V411408 = V140071 + 1. assign V717790 = V580780 + 1. assign V902467 = V986042. assign V772910 = V022140 + 1. assign V482547 = V881255 + 1. assign V875347 = V890889. assign V167913 = V606393. assign V423543 = V454836. assign V394618 = V376444 + 1. assign V532082 = V801713 - 1. assign V716916 = V791683. assign V413117 = V104434. assign V944683 = V353184. assign V409497 = V390527 - 1. assign V183327 = V167229. assign V259198 = V890889 + 1. assign V511996 = V167229 - 1. assign V126118 = V842723 - 1. assign V915700 = V890889. assign V873355 = V929149. assign V791683 = V385369. assign V357951 = V768166 - 1. assign V772255 = V552998 - 1. assign V892374 = V001610 - 1. assign V348742 = V126118. assign V664453 = V123164 - 1. assign V464150 = V944683. assign V873226 = V409497 + 1. assign V771351 = V070113. assign V676869 = V986042 + 1. assign V651834 = V070113. assign V474543 = V759691 + 1. assign V580780 = V311315. assign V549449 = V488409 + 1. assign V903197 = V498395. assign V850437 = V365626 + 1. assign V995208 = V771351 - 1. assign V551974 = V900099 + 1. assign V767940 = V890889. assign V548408 = V113592 + 1. assign V748169 = V458826 + 1. assign V656812 = V433036 + 1. assign V365626 = V311315 + 1. assign V525197 = V768166 + 1. assign V664112 = V622734 - 1. assign V872643 = V348742. assign V753262 = V365577. assign V140071 = V183327 - 1. assign V890889 = V488409. assign V206897 = V986042 - 1. assign V929149 = V909823 + 1. assign V428056 = V850437. assign V466025 = V488409 - 1. assign V070113 = V768166 + 1. assign V142724 = V394618 - 1. assign V288674 = V810563 - 1. assign V023836 = V651834 + 1. assign V282806 = V902467 + 1. assign V171749 = V126118. assign V900099 = V844579. assign V488409 = V798957 - 1. assign V414084 = V915700 - 1. assign V102788 = V768166. assign V385654 = V255742 + 1. assign V753933 = V768166 + 1. assign V436116 = V454836. assign V073697 = V915700 - 1. assign V537794 = V338404 - 1. assign V751379 = V085299. assign V836681 = V073697 + 1. assign V123164 = V552998. assign V791690 = V464150 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV622734 = 7;\n\nFrom these direct assignment(s), we have: \nV664112 = V622734 - 1 = 7 - 1 =6;\nNo other variables can be derived from V664112;\nNo other variables can be derived from V622734;\n\nNow we have done all the calculations. Derived variables are:\nV622734 = 7;\nV664112 = 6;\n\nNow we have finished this problem. ANSWER:\nV664112\n", "role": "assistant" } ]

[ "V930323" ]

[ { "content": "<context>\nassign V616928 = V553327 - 1. assign V884249 = V834350 + 1. assign V806619 = V495561 - 1. assign V585982 = V782558 - 1. assign V790803 = V282152. assign V495561 = V887645 - 1. assign V115764 = V941167 + 1. assign V958758 = V616928 - 1. assign V995901 = V216844 + 1. assign V231168 = V948659. assign V445602 = V887645 + 1. assign V930323 = V196180 + 1. assign V559703 = V983148 - 1. assign V800574 = V126335. assign V113574 = V423690 + 1. assign V962313 = V782558 + 1. assign V964252 = V544968. assign V231467 = V834350 + 1. assign V289569 = V442432 + 1. assign V757718 = V060735. assign V887645 = V818708 + 1. assign V206218 = V544968 - 1. assign V717691 = V783228 + 1. assign V385243 = V948659. assign V026818 = V909608. assign V782558 = V203076. assign V948659 = V035381. assign V484526 = V362643 - 1. assign V134016 = V405146 - 1. assign V866167 = V189047 + 1. assign V403298 = V375016 + 1. assign V146465 = V807346 - 1. assign V287190 = V941167 - 1. assign V724194 = V936129 - 1. assign V206206 = V559703 - 1. assign V783228 = V936129. assign V369446 = V044685 - 1. assign V649116 = V887645. assign V627705 = V203076 - 1. assign V015313 = V029636 - 1. assign V765104 = V178855. assign V044685 = V178855 - 1. assign V202018 = V627705. assign V532175 = V268648. assign V713973 = V667319 + 1. assign V048640 = V375016 - 1. assign V989451 = V544968. assign V189047 = V803756. assign V807346 = V515374. assign V818708 = V203076. assign V409199 = V660948 + 1. assign V986654 = V206206 + 1. assign V216844 = V706952. assign V668820 = V172203 - 1. assign V503711 = V268648 + 1. assign V405146 = V983148 + 1. assign V635706 = V995867 + 1. assign V150319 = V958758 + 1. assign V903377 = V206206. assign V217108 = V676124 + 1. assign V186483 = V502411. assign V391825 = V936129 + 1. assign V747944 = V029636 - 1. assign V544968 = V213466. assign V060731 = V445602. assign V504466 = V035381. assign V706952 = V803756 + 1. assign V400934 = V029636 - 1. assign V319997 = V369446. assign V406477 = V300138 - 1. assign V691264 = V202018. assign V209700 = V811693 - 1. assign V670461 = V044685. assign V739005 = V999040. assign V553327 = V559703 + 1. assign V371009 = V406477 - 1. assign V671676 = V983148 + 1. assign V442432 = V627705 - 1. assign V925751 = V559703. assign V561411 = V216844. assign V426856 = V574012. assign V386648 = V782558. assign V660948 = V309939. assign V936129 = V432502 - 1. assign V608596 = V941167 + 1. assign V728020 = V461839 - 1. assign V362643 = V282152. assign V697983 = V268648. assign V515796 = V217108 + 1. assign V955697 = V818708 + 1. assign V837781 = V816526. assign V816526 = V983148 - 1. assign V461839 = V559703 - 1. assign V268648 = V472799 - 1. assign V543828 = V029636 - 1. assign V351836 = V044685 - 1. assign V855949 = V206206. assign V203076 = V983148 + 1. assign V367199 = V991495 - 1. assign V676124 = V635706. assign V381908 = V540689 - 1. assign V805829 = V113574. assign V979813 = V231168 + 1. assign V083758 = V995867 + 1. assign V803756 = V472799 + 1. assign V461988 = V733985 - 1. assign V298990 = V941167 - 1. assign V860138 = V948659 - 1. assign V515374 = V559703 + 1. assign V282152 = V983148 + 1. assign V029636 = V208886 - 1. assign V649652 = V728020. assign V060735 = V405146 - 1. assign V523435 = V706952. assign V275181 = V527341 + 1. assign V995867 = V282152 - 1. assign V075932 = V213466 + 1. assign V765486 = V768174 + 1. assign V540689 = V585982 + 1. assign V927542 = V706952. assign V991495 = V983148. assign V718999 = V995867 - 1. assign V369353 = V668795 + 1. assign V941167 = V075932 + 1. assign V789262 = V083758. assign V300138 = V559703. assign V472799 = V208886 + 1. assign V358699 = V768174 + 1. assign V193836 = V300138 - 1. assign V106798 = V083758. assign V309939 = V178855 - 1. assign V760452 = V697983 - 1. assign V423690 = V834350 - 1. assign V632556 = V375016 + 1. assign V375016 = V991495. assign V502411 = V553327 + 1. assign V432502 = V627705 - 1. assign V733985 = V585982 - 1. assign V343450 = V495561 + 1. assign V834350 = V208886 + 1. assign V005038 = V803756. assign V869310 = V083758 - 1. assign V668795 = V386648 + 1. assign V733277 = V186483. assign V740184 = V115764 - 1. assign V536269 = V035381 - 1. assign V561251 = V178855 - 1. assign V126335 = V029636 + 1. assign V527341 = V559703. assign V909608 = V289569. assign V172203 = V472799. assign V345855 = V948659. assign V196180 = 8. assign V043036 = V909608 - 1. assign V496965 = V172203 + 1. assign V983148 = V472799 + 1. assign V178855 = V203076 - 1. assign V811693 = V632556 + 1. assign V574012 = V668795 + 1. assign V718525 = V282152 - 1. assign V189397 = V989451 + 1. assign V768174 = V760452. assign V852404 = V035381. assign V035381 = V718999. assign V999040 = V816526 - 1. assign V522693 = V287190 + 1. assign V610465 = V574012 - 1. assign V213466 = V472799 - 1. assign V667319 = V282152. assign V742194 = V608596. assign V204508 = V837781 - 1. assign V924892 = V060735.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V616928 = V553327 - 1. assign V884249 = V834350 + 1. assign V806619 = V495561 - 1. assign V585982 = V782558 - 1. assign V790803 = V282152. assign V495561 = V887645 - 1. assign V115764 = V941167 + 1. assign V958758 = V616928 - 1. assign V995901 = V216844 + 1. assign V231168 = V948659. assign V445602 = V887645 + 1. assign V930323 = V196180 + 1. assign V559703 = V983148 - 1. assign V800574 = V126335. assign V113574 = V423690 + 1. assign V962313 = V782558 + 1. assign V964252 = V544968. assign V231467 = V834350 + 1. assign V289569 = V442432 + 1. assign V757718 = V060735. assign V887645 = V818708 + 1. assign V206218 = V544968 - 1. assign V717691 = V783228 + 1. assign V385243 = V948659. assign V026818 = V909608. assign V782558 = V203076. assign V948659 = V035381. assign V484526 = V362643 - 1. assign V134016 = V405146 - 1. assign V866167 = V189047 + 1. assign V403298 = V375016 + 1. assign V146465 = V807346 - 1. assign V287190 = V941167 - 1. assign V724194 = V936129 - 1. assign V206206 = V559703 - 1. assign V783228 = V936129. assign V369446 = V044685 - 1. assign V649116 = V887645. assign V627705 = V203076 - 1. assign V015313 = V029636 - 1. assign V765104 = V178855. assign V044685 = V178855 - 1. assign V202018 = V627705. assign V532175 = V268648. assign V713973 = V667319 + 1. assign V048640 = V375016 - 1. assign V989451 = V544968. assign V189047 = V803756. assign V807346 = V515374. assign V818708 = V203076. assign V409199 = V660948 + 1. assign V986654 = V206206 + 1. assign V216844 = V706952. assign V668820 = V172203 - 1. assign V503711 = V268648 + 1. assign V405146 = V983148 + 1. assign V635706 = V995867 + 1. assign V150319 = V958758 + 1. assign V903377 = V206206. assign V217108 = V676124 + 1. assign V186483 = V502411. assign V391825 = V936129 + 1. assign V747944 = V029636 - 1. assign V544968 = V213466. assign V060731 = V445602. assign V504466 = V035381. assign V706952 = V803756 + 1. assign V400934 = V029636 - 1. assign V319997 = V369446. assign V406477 = V300138 - 1. assign V691264 = V202018. assign V209700 = V811693 - 1. assign V670461 = V044685. assign V739005 = V999040. assign V553327 = V559703 + 1. assign V371009 = V406477 - 1. assign V671676 = V983148 + 1. assign V442432 = V627705 - 1. assign V925751 = V559703. assign V561411 = V216844. assign V426856 = V574012. assign V386648 = V782558. assign V660948 = V309939. assign V936129 = V432502 - 1. assign V608596 = V941167 + 1. assign V728020 = V461839 - 1. assign V362643 = V282152. assign V697983 = V268648. assign V515796 = V217108 + 1. assign V955697 = V818708 + 1. assign V837781 = V816526. assign V816526 = V983148 - 1. assign V461839 = V559703 - 1. assign V268648 = V472799 - 1. assign V543828 = V029636 - 1. assign V351836 = V044685 - 1. assign V855949 = V206206. assign V203076 = V983148 + 1. assign V367199 = V991495 - 1. assign V676124 = V635706. assign V381908 = V540689 - 1. assign V805829 = V113574. assign V979813 = V231168 + 1. assign V083758 = V995867 + 1. assign V803756 = V472799 + 1. assign V461988 = V733985 - 1. assign V298990 = V941167 - 1. assign V860138 = V948659 - 1. assign V515374 = V559703 + 1. assign V282152 = V983148 + 1. assign V029636 = V208886 - 1. assign V649652 = V728020. assign V060735 = V405146 - 1. assign V523435 = V706952. assign V275181 = V527341 + 1. assign V995867 = V282152 - 1. assign V075932 = V213466 + 1. assign V765486 = V768174 + 1. assign V540689 = V585982 + 1. assign V927542 = V706952. assign V991495 = V983148. assign V718999 = V995867 - 1. assign V369353 = V668795 + 1. assign V941167 = V075932 + 1. assign V789262 = V083758. assign V300138 = V559703. assign V472799 = V208886 + 1. assign V358699 = V768174 + 1. assign V193836 = V300138 - 1. assign V106798 = V083758. assign V309939 = V178855 - 1. assign V760452 = V697983 - 1. assign V423690 = V834350 - 1. assign V632556 = V375016 + 1. assign V375016 = V991495. assign V502411 = V553327 + 1. assign V432502 = V627705 - 1. assign V733985 = V585982 - 1. assign V343450 = V495561 + 1. assign V834350 = V208886 + 1. assign V005038 = V803756. assign V869310 = V083758 - 1. assign V668795 = V386648 + 1. assign V733277 = V186483. assign V740184 = V115764 - 1. assign V536269 = V035381 - 1. assign V561251 = V178855 - 1. assign V126335 = V029636 + 1. assign V527341 = V559703. assign V909608 = V289569. assign V172203 = V472799. assign V345855 = V948659. assign V196180 = 8. assign V043036 = V909608 - 1. assign V496965 = V172203 + 1. assign V983148 = V472799 + 1. assign V178855 = V203076 - 1. assign V811693 = V632556 + 1. assign V574012 = V668795 + 1. assign V718525 = V282152 - 1. assign V189397 = V989451 + 1. assign V768174 = V760452. assign V852404 = V035381. assign V035381 = V718999. assign V999040 = V816526 - 1. assign V522693 = V287190 + 1. assign V610465 = V574012 - 1. assign V213466 = V472799 - 1. assign V667319 = V282152. assign V742194 = V608596. assign V204508 = V837781 - 1. assign V924892 = V060735.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV196180 = 8;\n\nFrom these direct assignment(s), we have: \nV930323 = V196180 + 1 = 8 + 1 =9;\nNo other variables can be derived from V930323;\nNo other variables can be derived from V196180;\n\nNow we have done all the calculations. Derived variables are:\nV196180 = 8;\nV930323 = 9;\n\nNow we have finished this problem. ANSWER:\nV930323\n", "role": "assistant" } ]

[ "V503376" ]

[ { "content": "<context>\nassign V870105 = V455636. assign V009504 = V442918. assign V442918 = V717880 - 1. assign V588627 = V717880 + 1. assign V167414 = V650730. assign V882934 = V846336 - 1. assign V659858 = V902251 - 1. assign V028278 = V875099 + 1. assign V539179 = V650892. assign V865256 = V511561 - 1. assign V304127 = V144426 + 1. assign V589086 = V803492 - 1. assign V846336 = V455636 + 1. assign V716283 = V286676 + 1. assign V855921 = V384692. assign V004995 = V960744 - 1. assign V875099 = V596852 + 1. assign V960744 = V254128 + 1. assign V333848 = V686702 - 1. assign V743327 = V623773 + 1. assign V441712 = V281713 + 1. assign V172851 = V111772 - 1. assign V407016 = V221365. assign V503376 = 2. assign V144426 = V596852 - 1. assign V850651 = V565674 + 1. assign V898002 = V321161 - 1. assign V264662 = V195867 + 1. assign V384692 = V293411 - 1. assign V364902 = V264662. assign V348268 = V940071 - 1. assign V000168 = V078068. assign V433193 = V659858. assign V920929 = V281713 + 1. assign V394962 = V820809. assign V686702 = V749171 - 1. assign V692822 = V073644. assign V509621 = V865256 + 1. assign V565674 = V172851 + 1. assign V318427 = V221365 + 1. assign V700769 = V453393 - 1. assign V144720 = V455636 + 1. assign V947751 = V743327 - 1. assign V650730 = V254128 - 1. assign V334315 = V349637. assign V356689 = V111772 - 1. assign V833894 = V892932 - 1. assign V620723 = V468231. assign V364070 = V846336 + 1. assign V873442 = V511561 + 1. assign V077193 = V959854 + 1. assign V841853 = V356689. assign V960615 = V623773. assign V810290 = V455636. assign V492699 = V511561 - 1. assign V863845 = V846336 + 1. assign V247967 = V824241. assign V648078 = V221365 - 1. assign V892932 = V144426. assign V085274 = V394962 - 1. assign V185593 = V803492 - 1. assign V983859 = V725190. assign V119568 = V650730. assign V073644 = V028278. assign V155744 = V873413 + 1. assign V617336 = V623773 + 1. assign V971868 = V596852 - 1. assign V221121 = V562798 - 1. assign V227620 = V364902. assign V390053 = V612035. assign V453393 = V488823 + 1. assign V940071 = V659858 + 1. assign V466681 = V394962 + 1. assign V635640 = V254128. assign V488823 = V264662. assign V596852 = V902251 + 1. assign V283495 = V873442. assign V982824 = V659858 + 1. assign V530689 = V969624. assign V105139 = V940071 - 1. assign V386948 = V882934 + 1. assign V284901 = V356689 + 1. assign V286676 = V659210 + 1. assign V987601 = V503376 - 1. assign V341274 = V085274. assign V642489 = V700769 + 1. assign V473143 = V488823 + 1. assign V468231 = V686702. assign V715193 = V650730. assign V824241 = V659858. assign V293411 = V270275. assign V341016 = V633857 + 1. assign V843135 = V743327. assign V819358 = V172851 - 1. assign V568467 = V820809. assign V078068 = V648078 + 1. assign V711508 = V969624. assign V317780 = V982824 + 1. assign V633857 = V511561. assign V040332 = V820809 + 1. assign V106913 = V040332 + 1. assign V010975 = V511561 - 1. assign V857876 = V562798. assign V286962 = V455636 + 1. assign V969624 = V659858 - 1. assign V780252 = V488823 + 1. assign V031540 = V819358 - 1. assign V177040 = V803492. assign V207703 = V221121 - 1. assign V349637 = V433193 - 1. assign V562798 = V466681. assign V378857 = V596852 + 1. assign V105895 = V473143 - 1. assign V804163 = V947751. assign V353732 = V882934 - 1. assign V724133 = V857876. assign V810945 = V749171. assign V663533 = V902251 + 1. assign V895398 = V286676. assign V719255 = V281713 + 1. assign V803492 = V364902. assign V543220 = V144720. assign V354719 = V196723 + 1. assign V311767 = V433193. assign V321161 = V855921 + 1. assign V906286 = V284901 + 1. assign V911854 = V356689. assign V221365 = V119568. assign V270549 = V843135. assign V717880 = V642489. assign V138721 = V311767 - 1. assign V351256 = V633857 - 1. assign V873413 = V749171 + 1. assign V281713 = V119568 + 1. assign V623773 = V659858 + 1. assign V263822 = V982824. assign V200104 = V348268 - 1. assign V095633 = V902251. assign V529864 = V281713 + 1. assign V716234 = V333848 - 1. assign V691271 = V947751. assign V650892 = V293411 + 1. assign V514388 = V642489 + 1. assign V638769 = V200104 + 1. assign V315719 = V095633 - 1. assign V127937 = V691271. assign V021671 = V254128. assign V455636 = V659858 - 1. assign V612035 = V873413 - 1. assign V424424 = V940071. assign V254128 = V596852 - 1. assign V390836 = V281713 - 1. assign V628417 = V717880 + 1. assign V820809 = V492699 - 1. assign V725367 = V883886. assign V196723 = V650892 - 1. assign V101364 = V453393 - 1. assign V883886 = V959854. assign V585820 = V565674. assign V078531 = V031540 - 1. assign V749171 = V111772 + 1. assign V725190 = V172851 + 1. assign V511561 = V902251. assign V572578 = V384692 + 1. assign V270275 = V940071 + 1. assign V980987 = V364902 + 1. assign V915196 = V873413 + 1. assign V195867 = V902251. assign V659210 = V378857. assign V959854 = V960744 - 1. assign V111772 = V902251 + 1. assign V949423 = V596852.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V870105 = V455636. assign V009504 = V442918. assign V442918 = V717880 - 1. assign V588627 = V717880 + 1. assign V167414 = V650730. assign V882934 = V846336 - 1. assign V659858 = V902251 - 1. assign V028278 = V875099 + 1. assign V539179 = V650892. assign V865256 = V511561 - 1. assign V304127 = V144426 + 1. assign V589086 = V803492 - 1. assign V846336 = V455636 + 1. assign V716283 = V286676 + 1. assign V855921 = V384692. assign V004995 = V960744 - 1. assign V875099 = V596852 + 1. assign V960744 = V254128 + 1. assign V333848 = V686702 - 1. assign V743327 = V623773 + 1. assign V441712 = V281713 + 1. assign V172851 = V111772 - 1. assign V407016 = V221365. assign V503376 = 2. assign V144426 = V596852 - 1. assign V850651 = V565674 + 1. assign V898002 = V321161 - 1. assign V264662 = V195867 + 1. assign V384692 = V293411 - 1. assign V364902 = V264662. assign V348268 = V940071 - 1. assign V000168 = V078068. assign V433193 = V659858. assign V920929 = V281713 + 1. assign V394962 = V820809. assign V686702 = V749171 - 1. assign V692822 = V073644. assign V509621 = V865256 + 1. assign V565674 = V172851 + 1. assign V318427 = V221365 + 1. assign V700769 = V453393 - 1. assign V144720 = V455636 + 1. assign V947751 = V743327 - 1. assign V650730 = V254128 - 1. assign V334315 = V349637. assign V356689 = V111772 - 1. assign V833894 = V892932 - 1. assign V620723 = V468231. assign V364070 = V846336 + 1. assign V873442 = V511561 + 1. assign V077193 = V959854 + 1. assign V841853 = V356689. assign V960615 = V623773. assign V810290 = V455636. assign V492699 = V511561 - 1. assign V863845 = V846336 + 1. assign V247967 = V824241. assign V648078 = V221365 - 1. assign V892932 = V144426. assign V085274 = V394962 - 1. assign V185593 = V803492 - 1. assign V983859 = V725190. assign V119568 = V650730. assign V073644 = V028278. assign V155744 = V873413 + 1. assign V617336 = V623773 + 1. assign V971868 = V596852 - 1. assign V221121 = V562798 - 1. assign V227620 = V364902. assign V390053 = V612035. assign V453393 = V488823 + 1. assign V940071 = V659858 + 1. assign V466681 = V394962 + 1. assign V635640 = V254128. assign V488823 = V264662. assign V596852 = V902251 + 1. assign V283495 = V873442. assign V982824 = V659858 + 1. assign V530689 = V969624. assign V105139 = V940071 - 1. assign V386948 = V882934 + 1. assign V284901 = V356689 + 1. assign V286676 = V659210 + 1. assign V987601 = V503376 - 1. assign V341274 = V085274. assign V642489 = V700769 + 1. assign V473143 = V488823 + 1. assign V468231 = V686702. assign V715193 = V650730. assign V824241 = V659858. assign V293411 = V270275. assign V341016 = V633857 + 1. assign V843135 = V743327. assign V819358 = V172851 - 1. assign V568467 = V820809. assign V078068 = V648078 + 1. assign V711508 = V969624. assign V317780 = V982824 + 1. assign V633857 = V511561. assign V040332 = V820809 + 1. assign V106913 = V040332 + 1. assign V010975 = V511561 - 1. assign V857876 = V562798. assign V286962 = V455636 + 1. assign V969624 = V659858 - 1. assign V780252 = V488823 + 1. assign V031540 = V819358 - 1. assign V177040 = V803492. assign V207703 = V221121 - 1. assign V349637 = V433193 - 1. assign V562798 = V466681. assign V378857 = V596852 + 1. assign V105895 = V473143 - 1. assign V804163 = V947751. assign V353732 = V882934 - 1. assign V724133 = V857876. assign V810945 = V749171. assign V663533 = V902251 + 1. assign V895398 = V286676. assign V719255 = V281713 + 1. assign V803492 = V364902. assign V543220 = V144720. assign V354719 = V196723 + 1. assign V311767 = V433193. assign V321161 = V855921 + 1. assign V906286 = V284901 + 1. assign V911854 = V356689. assign V221365 = V119568. assign V270549 = V843135. assign V717880 = V642489. assign V138721 = V311767 - 1. assign V351256 = V633857 - 1. assign V873413 = V749171 + 1. assign V281713 = V119568 + 1. assign V623773 = V659858 + 1. assign V263822 = V982824. assign V200104 = V348268 - 1. assign V095633 = V902251. assign V529864 = V281713 + 1. assign V716234 = V333848 - 1. assign V691271 = V947751. assign V650892 = V293411 + 1. assign V514388 = V642489 + 1. assign V638769 = V200104 + 1. assign V315719 = V095633 - 1. assign V127937 = V691271. assign V021671 = V254128. assign V455636 = V659858 - 1. assign V612035 = V873413 - 1. assign V424424 = V940071. assign V254128 = V596852 - 1. assign V390836 = V281713 - 1. assign V628417 = V717880 + 1. assign V820809 = V492699 - 1. assign V725367 = V883886. assign V196723 = V650892 - 1. assign V101364 = V453393 - 1. assign V883886 = V959854. assign V585820 = V565674. assign V078531 = V031540 - 1. assign V749171 = V111772 + 1. assign V725190 = V172851 + 1. assign V511561 = V902251. assign V572578 = V384692 + 1. assign V270275 = V940071 + 1. assign V980987 = V364902 + 1. assign V915196 = V873413 + 1. assign V195867 = V902251. assign V659210 = V378857. assign V959854 = V960744 - 1. assign V111772 = V902251 + 1. assign V949423 = V596852.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV503376 = 2;\n\nFrom these direct assignment(s), we have: \nV987601 = V503376 - 1 = 2 - 1 =1;\nNo other variables can be derived from V987601;\nNo other variables can be derived from V503376;\n\nNow we have done all the calculations. Derived variables are:\nV503376 = 2;\nV987601 = 1;\n\nNow we have finished this problem. ANSWER:\nV503376\n", "role": "assistant" } ]

[ "V273239", "V131803" ]

[ { "content": "<context>\nassign V236214 = V171277. assign V889618 = V115321. assign V659156 = V238824 - 1. assign V893563 = V475165 + 1. assign V182498 = V350479. assign V091470 = V936189 + 1. assign V714980 = V292823. assign V095319 = V958014 + 1. assign V429783 = V038020. assign V219779 = V071966 - 1. assign V659898 = V450242 - 1. assign V269674 = V911778. assign V372337 = V357727 + 1. assign V426068 = V350479 - 1. assign V648946 = V274009 + 1. assign V170904 = V793503 + 1. assign V604708 = V125460 - 1. assign V125687 = V555272 + 1. assign V527586 = V091470 + 1. assign V242586 = V236214 - 1. assign V357727 = V125460 + 1. assign V103168 = V659898. assign V059738 = V549145 + 1. assign V793806 = V038020. assign V327847 = V426068. assign V318990 = V743612. assign V001458 = V319766 - 1. assign V192753 = V375384. assign V314059 = V319766 - 1. assign V926641 = V392771 + 1. assign V485810 = V314059 + 1. assign V955453 = V242586 + 1. assign V611022 = V173098. assign V743612 = V125687. assign V045891 = V621087 + 1. assign V964482 = V292823 - 1. assign V360061 = V564662 - 1. assign V396875 = V319766 + 1. assign V813472 = V164960. assign V860346 = V847235 + 1. assign V705387 = V936189 + 1. assign V565135 = V659898 + 1. assign V475165 = V263571 + 1. assign V118960 = V634901. assign V164960 = V555272 + 1. assign V258675 = V236214 + 1. assign V555272 = V236214 + 1. assign V793503 = V236214. assign V358764 = V125460 + 1. assign V668474 = V126233 - 1. assign V541427 = V914582 - 1. assign V319225 = V659898 + 1. assign V318914 = V396875 - 1. assign V499068 = V274009. assign V110054 = V665171 - 1. assign V541045 = V292823. assign V413806 = V893563. assign V173098 = V793276. assign V994524 = V837144 - 1. assign V392771 = V220824 + 1. assign V372206 = V007216 + 1. assign V126233 = V555272 - 1. assign V079968 = V103168. assign V315142 = V964482. assign V564662 = V797402 + 1. assign V652749 = V238824 + 1. assign V107009 = V958014. assign V850095 = V659156 - 1. assign V038669 = V314059 - 1. assign V692415 = V001458 - 1. assign V273239 = 8. assign V450242 = V173098. assign V897799 = V549145. assign V780173 = V529069 + 1. assign V094966 = V360061 - 1. assign V994934 = V955453 - 1. assign V701883 = V350479 + 1. assign V511594 = V372337 - 1. assign V519241 = V110054 + 1. assign V594033 = V665171. assign V773893 = V188296 - 1. assign V849028 = V994934 - 1. assign V851328 = V171277 + 1. assign V318591 = V392771 + 1. assign V911778 = V220824. assign V242802 = V564662 - 1. assign V632868 = V911778. assign V884592 = V372206. assign V665171 = V357727 + 1. assign V299496 = V375384. assign V931562 = V315494 - 1. assign V194641 = V793276 - 1. assign V455045 = V711943 + 1. assign V131803 = V273239. assign V121130 = V170904 + 1. assign V793276 = V350479. assign V597983 = V701883 + 1. assign V936189 = V236214 + 1. assign V847235 = V903352. assign V583864 = V236214. assign V115321 = V893563 + 1. assign V171066 = V219779 - 1. assign V011266 = V236214 - 1. assign V263571 = V375384. assign V255743 = V242586. assign V505057 = V426068. assign V915831 = V837144. assign V621087 = V220824. assign V523436 = V357727 - 1. assign V032604 = V692415 - 1. assign V496071 = V936189 - 1. assign V426482 = V826045 + 1. assign V722817 = V126233 + 1. assign V038020 = V242586 - 1. assign V914582 = V597983 - 1. assign V483240 = V318914 + 1. assign V292823 = V125460 - 1. assign V903352 = V375384 - 1. assign V040602 = V851328 - 1. assign V715227 = V319766 + 1. assign V227779 = V274009 - 1. assign V500117 = V364888. assign V454518 = V372206. assign V488714 = V475165. assign V919658 = V255743. assign V521768 = V007216 + 1. assign V958014 = V955453. assign V066948 = V318591. assign V857201 = V994934 + 1. assign V215973 = V095319 + 1. assign V711943 = V519241 + 1. assign V284286 = V711943. assign V204231 = V511594 + 1. assign V171277 = V375384. assign V923268 = V219779. assign V624987 = V624757 - 1. assign V778835 = V238824 + 1. assign V688947 = V299496. assign V113295 = V091470 - 1. assign V319766 = V274009 + 1. assign V624757 = V903352 + 1. assign V350479 = V171277 - 1. assign V487469 = V426068 - 1. assign V731241 = V722817 + 1. assign V047539 = V915831 - 1. assign V518644 = V624987 - 1. assign V200091 = V094966 + 1. assign V238824 = V958014. assign V934962 = V505057 + 1. assign V402996 = V485810. assign V529069 = V375384. assign V315494 = V624987. assign V188296 = V375384. assign V125460 = V350479 + 1. assign V473202 = V392771 + 1. assign V159056 = V125687 - 1. assign V398926 = V360061 - 1. assign V364888 = V958014. assign V797402 = V893563. assign V604289 = V171277. assign V220824 = V375384 + 1. assign V993119 = V889618 + 1. assign V071966 = V350479 - 1. assign V826045 = V594033 - 1. assign V007216 = V113295 + 1. assign V231818 = V426068 - 1. assign V837144 = V274009 - 1. assign V274009 = V375384. assign V802169 = V541045 - 1. assign V549145 = V722817 - 1. assign V634901 = V263571 - 1. assign V669268 = V357727.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V236214 = V171277. assign V889618 = V115321. assign V659156 = V238824 - 1. assign V893563 = V475165 + 1. assign V182498 = V350479. assign V091470 = V936189 + 1. assign V714980 = V292823. assign V095319 = V958014 + 1. assign V429783 = V038020. assign V219779 = V071966 - 1. assign V659898 = V450242 - 1. assign V269674 = V911778. assign V372337 = V357727 + 1. assign V426068 = V350479 - 1. assign V648946 = V274009 + 1. assign V170904 = V793503 + 1. assign V604708 = V125460 - 1. assign V125687 = V555272 + 1. assign V527586 = V091470 + 1. assign V242586 = V236214 - 1. assign V357727 = V125460 + 1. assign V103168 = V659898. assign V059738 = V549145 + 1. assign V793806 = V038020. assign V327847 = V426068. assign V318990 = V743612. assign V001458 = V319766 - 1. assign V192753 = V375384. assign V314059 = V319766 - 1. assign V926641 = V392771 + 1. assign V485810 = V314059 + 1. assign V955453 = V242586 + 1. assign V611022 = V173098. assign V743612 = V125687. assign V045891 = V621087 + 1. assign V964482 = V292823 - 1. assign V360061 = V564662 - 1. assign V396875 = V319766 + 1. assign V813472 = V164960. assign V860346 = V847235 + 1. assign V705387 = V936189 + 1. assign V565135 = V659898 + 1. assign V475165 = V263571 + 1. assign V118960 = V634901. assign V164960 = V555272 + 1. assign V258675 = V236214 + 1. assign V555272 = V236214 + 1. assign V793503 = V236214. assign V358764 = V125460 + 1. assign V668474 = V126233 - 1. assign V541427 = V914582 - 1. assign V319225 = V659898 + 1. assign V318914 = V396875 - 1. assign V499068 = V274009. assign V110054 = V665171 - 1. assign V541045 = V292823. assign V413806 = V893563. assign V173098 = V793276. assign V994524 = V837144 - 1. assign V392771 = V220824 + 1. assign V372206 = V007216 + 1. assign V126233 = V555272 - 1. assign V079968 = V103168. assign V315142 = V964482. assign V564662 = V797402 + 1. assign V652749 = V238824 + 1. assign V107009 = V958014. assign V850095 = V659156 - 1. assign V038669 = V314059 - 1. assign V692415 = V001458 - 1. assign V273239 = 8. assign V450242 = V173098. assign V897799 = V549145. assign V780173 = V529069 + 1. assign V094966 = V360061 - 1. assign V994934 = V955453 - 1. assign V701883 = V350479 + 1. assign V511594 = V372337 - 1. assign V519241 = V110054 + 1. assign V594033 = V665171. assign V773893 = V188296 - 1. assign V849028 = V994934 - 1. assign V851328 = V171277 + 1. assign V318591 = V392771 + 1. assign V911778 = V220824. assign V242802 = V564662 - 1. assign V632868 = V911778. assign V884592 = V372206. assign V665171 = V357727 + 1. assign V299496 = V375384. assign V931562 = V315494 - 1. assign V194641 = V793276 - 1. assign V455045 = V711943 + 1. assign V131803 = V273239. assign V121130 = V170904 + 1. assign V793276 = V350479. assign V597983 = V701883 + 1. assign V936189 = V236214 + 1. assign V847235 = V903352. assign V583864 = V236214. assign V115321 = V893563 + 1. assign V171066 = V219779 - 1. assign V011266 = V236214 - 1. assign V263571 = V375384. assign V255743 = V242586. assign V505057 = V426068. assign V915831 = V837144. assign V621087 = V220824. assign V523436 = V357727 - 1. assign V032604 = V692415 - 1. assign V496071 = V936189 - 1. assign V426482 = V826045 + 1. assign V722817 = V126233 + 1. assign V038020 = V242586 - 1. assign V914582 = V597983 - 1. assign V483240 = V318914 + 1. assign V292823 = V125460 - 1. assign V903352 = V375384 - 1. assign V040602 = V851328 - 1. assign V715227 = V319766 + 1. assign V227779 = V274009 - 1. assign V500117 = V364888. assign V454518 = V372206. assign V488714 = V475165. assign V919658 = V255743. assign V521768 = V007216 + 1. assign V958014 = V955453. assign V066948 = V318591. assign V857201 = V994934 + 1. assign V215973 = V095319 + 1. assign V711943 = V519241 + 1. assign V284286 = V711943. assign V204231 = V511594 + 1. assign V171277 = V375384. assign V923268 = V219779. assign V624987 = V624757 - 1. assign V778835 = V238824 + 1. assign V688947 = V299496. assign V113295 = V091470 - 1. assign V319766 = V274009 + 1. assign V624757 = V903352 + 1. assign V350479 = V171277 - 1. assign V487469 = V426068 - 1. assign V731241 = V722817 + 1. assign V047539 = V915831 - 1. assign V518644 = V624987 - 1. assign V200091 = V094966 + 1. assign V238824 = V958014. assign V934962 = V505057 + 1. assign V402996 = V485810. assign V529069 = V375384. assign V315494 = V624987. assign V188296 = V375384. assign V125460 = V350479 + 1. assign V473202 = V392771 + 1. assign V159056 = V125687 - 1. assign V398926 = V360061 - 1. assign V364888 = V958014. assign V797402 = V893563. assign V604289 = V171277. assign V220824 = V375384 + 1. assign V993119 = V889618 + 1. assign V071966 = V350479 - 1. assign V826045 = V594033 - 1. assign V007216 = V113295 + 1. assign V231818 = V426068 - 1. assign V837144 = V274009 - 1. assign V274009 = V375384. assign V802169 = V541045 - 1. assign V549145 = V722817 - 1. assign V634901 = V263571 - 1. assign V669268 = V357727.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV273239 = 8;\n\nFrom these direct assignment(s), we have: \nV131803 = V273239 = 8;\nNo other variables can be derived from V131803;\nNo other variables can be derived from V273239;\n\nNow we have done all the calculations. Derived variables are:\nV273239 = 8;\nV131803 = 8;\n\nNow we have finished this problem. ANSWER:\nV273239, V131803\n", "role": "assistant" } ]

[ "V267128", "V857332" ]

[ { "content": "<context>\nassign V103196 = V807892 - 1. assign V864288 = V668783. assign V984795 = V493064 + 1. assign V879301 = V995600 + 1. assign V189631 = V601523 + 1. assign V608736 = V501465 + 1. assign V318386 = V668783. assign V757358 = V840155 + 1. assign V712051 = V580316 - 1. assign V042681 = V960558 + 1. assign V840155 = V879301 + 1. assign V668783 = V877621 + 1. assign V731223 = V960558. assign V859642 = V018220 + 1. assign V858563 = V903599 - 1. assign V430113 = V602334 - 1. assign V833892 = V067981. assign V660766 = V630083 - 1. assign V724920 = V392916 - 1. assign V624736 = V978871. assign V820167 = V305845. assign V860277 = V927599 + 1. assign V378356 = V143122. assign V679524 = V987665. assign V055441 = V107805 + 1. assign V819313 = V995600 - 1. assign V347232 = V995600 + 1. assign V529662 = V999064. assign V092340 = V099904. assign V644565 = V152504. assign V051255 = V305845 - 1. assign V696648 = V583752 - 1. assign V422403 = V689754 - 1. assign V298176 = V290241 + 1. assign V903243 = V092340 + 1. assign V927599 = V412698. assign V589896 = V712051 - 1. assign V107644 = V189631. assign V995600 = V987665 - 1. assign V598474 = V091634 + 1. assign V955777 = V142184 - 1. assign V055183 = V896106 + 1. assign V918018 = V439755 - 1. assign V084444 = V860277 + 1. assign V360946 = V980256 + 1. assign V143122 = V332254 - 1. assign V493064 = V864616. assign V255566 = V668783 - 1. assign V391228 = V657569. assign V220961 = V175062 + 1. assign V317132 = V330253 - 1. assign V601523 = V278047 - 1. assign V820229 = V107805. assign V833130 = V506965 - 1. assign V514289 = V774774 - 1. assign V819477 = V317132 + 1. assign V262136 = V125794. assign V142184 = V896106 + 1. assign V847282 = V694229. assign V940622 = V980256 - 1. assign V326281 = V440518 + 1. assign V903599 = V055441. assign V694229 = V995600 - 1. assign V900901 = V731223 - 1. assign V590513 = V021459. assign V427429 = V247947 - 1. assign V018220 = V391228 - 1. assign V277906 = V995600 + 1. assign V107805 = V439755. assign V091902 = V099310. assign V669289 = V099904. assign V657475 = V689754. assign V689816 = V590500 - 1. assign V636755 = V305618. assign V980256 = V319360 - 1. assign V933536 = V548201 + 1. assign V360884 = V391228. assign V686712 = V318386 - 1. assign V067981 = V933536. assign V389497 = V980465. assign V305618 = V819313 - 1. assign V253226 = V125794 + 1. assign V864616 = V987665 - 1. assign V258694 = V125794 + 1. assign V657569 = V987665. assign V056574 = V048737 - 1. assign V349929 = V253226. assign V590500 = V995600 - 1. assign V099310 = V987665 - 1. assign V159601 = V874684 + 1. assign V506965 = V712051. assign V418271 = V583752 - 1. assign V111519 = V493064 + 1. assign V030645 = V696648. assign V099904 = V918018 + 1. assign V617764 = V175062 + 1. assign V980465 = V860277 - 1. assign V412698 = V896106 + 1. assign V659511 = V874684 + 1. assign V491864 = V349929. assign V790490 = V493064 + 1. assign V857332 = V267128. assign V277582 = V362730 - 1. assign V774774 = V107644 + 1. assign V490004 = V080971 + 1. assign V512186 = V412698. assign V877621 = V055183 + 1. assign V478092 = V125794. assign V305845 = V055183 + 1. assign V332254 = V092340 + 1. assign V548201 = V877621. assign V874684 = V860277. assign V278047 = V107805. assign V637257 = V927599 + 1. assign V693202 = V999064 - 1. assign V175062 = V042681 + 1. assign V021459 = V055441 + 1. assign V173169 = V332254 + 1. assign V602334 = V478092. assign V633998 = V391228 + 1. assign V498413 = V330253 - 1. assign V580316 = V694229 - 1. assign V960558 = V439755. assign V033254 = V624736. assign V597903 = V694229 - 1. assign V048737 = V637257 - 1. assign V319360 = V987665. assign V501465 = V903243 + 1. assign V125794 = V896106 - 1. assign V080971 = V918018. assign V486851 = V864288 - 1. assign V624116 = V301605 + 1. assign V362730 = V332254. assign V867445 = V659511 + 1. assign V934977 = V847282. assign V439755 = V694229 - 1. assign V392916 = V055183 + 1. assign V987665 = V142184. assign V247947 = V318386 - 1. assign V494311 = V159601 + 1. assign V330253 = V391228 + 1. assign V485421 = V092340 + 1. assign V694505 = V262136. assign V999064 = V084444. assign V706959 = V330253 - 1. assign V388753 = V590513 - 1. assign V006634 = V439755 + 1. assign V496783 = V301605 + 1. assign V423366 = V694505 - 1. assign V436877 = V657569 + 1. assign V520219 = V847282. assign V054905 = V807892. assign V183104 = V278047 - 1. assign V125352 = V689816 + 1. assign V807892 = V278047. assign V301605 = V262136. assign V380878 = V927599 - 1. assign V417240 = V617764 - 1. assign V290241 = V601523 + 1. assign V373494 = V496783 - 1. assign V872288 = V694229 + 1. assign V630083 = V689816. assign V783002 = V362730. assign V440518 = V679524. assign V978871 = V092340 + 1. assign V267128 = 1. assign V689754 = V877621. assign V152504 = V125352 + 1. assign V583752 = V125794. assign V091634 = V630083. assign V190901 = V277906 - 1. assign V763072 = V318386 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V103196 = V807892 - 1. assign V864288 = V668783. assign V984795 = V493064 + 1. assign V879301 = V995600 + 1. assign V189631 = V601523 + 1. assign V608736 = V501465 + 1. assign V318386 = V668783. assign V757358 = V840155 + 1. assign V712051 = V580316 - 1. assign V042681 = V960558 + 1. assign V840155 = V879301 + 1. assign V668783 = V877621 + 1. assign V731223 = V960558. assign V859642 = V018220 + 1. assign V858563 = V903599 - 1. assign V430113 = V602334 - 1. assign V833892 = V067981. assign V660766 = V630083 - 1. assign V724920 = V392916 - 1. assign V624736 = V978871. assign V820167 = V305845. assign V860277 = V927599 + 1. assign V378356 = V143122. assign V679524 = V987665. assign V055441 = V107805 + 1. assign V819313 = V995600 - 1. assign V347232 = V995600 + 1. assign V529662 = V999064. assign V092340 = V099904. assign V644565 = V152504. assign V051255 = V305845 - 1. assign V696648 = V583752 - 1. assign V422403 = V689754 - 1. assign V298176 = V290241 + 1. assign V903243 = V092340 + 1. assign V927599 = V412698. assign V589896 = V712051 - 1. assign V107644 = V189631. assign V995600 = V987665 - 1. assign V598474 = V091634 + 1. assign V955777 = V142184 - 1. assign V055183 = V896106 + 1. assign V918018 = V439755 - 1. assign V084444 = V860277 + 1. assign V360946 = V980256 + 1. assign V143122 = V332254 - 1. assign V493064 = V864616. assign V255566 = V668783 - 1. assign V391228 = V657569. assign V220961 = V175062 + 1. assign V317132 = V330253 - 1. assign V601523 = V278047 - 1. assign V820229 = V107805. assign V833130 = V506965 - 1. assign V514289 = V774774 - 1. assign V819477 = V317132 + 1. assign V262136 = V125794. assign V142184 = V896106 + 1. assign V847282 = V694229. assign V940622 = V980256 - 1. assign V326281 = V440518 + 1. assign V903599 = V055441. assign V694229 = V995600 - 1. assign V900901 = V731223 - 1. assign V590513 = V021459. assign V427429 = V247947 - 1. assign V018220 = V391228 - 1. assign V277906 = V995600 + 1. assign V107805 = V439755. assign V091902 = V099310. assign V669289 = V099904. assign V657475 = V689754. assign V689816 = V590500 - 1. assign V636755 = V305618. assign V980256 = V319360 - 1. assign V933536 = V548201 + 1. assign V360884 = V391228. assign V686712 = V318386 - 1. assign V067981 = V933536. assign V389497 = V980465. assign V305618 = V819313 - 1. assign V253226 = V125794 + 1. assign V864616 = V987665 - 1. assign V258694 = V125794 + 1. assign V657569 = V987665. assign V056574 = V048737 - 1. assign V349929 = V253226. assign V590500 = V995600 - 1. assign V099310 = V987665 - 1. assign V159601 = V874684 + 1. assign V506965 = V712051. assign V418271 = V583752 - 1. assign V111519 = V493064 + 1. assign V030645 = V696648. assign V099904 = V918018 + 1. assign V617764 = V175062 + 1. assign V980465 = V860277 - 1. assign V412698 = V896106 + 1. assign V659511 = V874684 + 1. assign V491864 = V349929. assign V790490 = V493064 + 1. assign V857332 = V267128. assign V277582 = V362730 - 1. assign V774774 = V107644 + 1. assign V490004 = V080971 + 1. assign V512186 = V412698. assign V877621 = V055183 + 1. assign V478092 = V125794. assign V305845 = V055183 + 1. assign V332254 = V092340 + 1. assign V548201 = V877621. assign V874684 = V860277. assign V278047 = V107805. assign V637257 = V927599 + 1. assign V693202 = V999064 - 1. assign V175062 = V042681 + 1. assign V021459 = V055441 + 1. assign V173169 = V332254 + 1. assign V602334 = V478092. assign V633998 = V391228 + 1. assign V498413 = V330253 - 1. assign V580316 = V694229 - 1. assign V960558 = V439755. assign V033254 = V624736. assign V597903 = V694229 - 1. assign V048737 = V637257 - 1. assign V319360 = V987665. assign V501465 = V903243 + 1. assign V125794 = V896106 - 1. assign V080971 = V918018. assign V486851 = V864288 - 1. assign V624116 = V301605 + 1. assign V362730 = V332254. assign V867445 = V659511 + 1. assign V934977 = V847282. assign V439755 = V694229 - 1. assign V392916 = V055183 + 1. assign V987665 = V142184. assign V247947 = V318386 - 1. assign V494311 = V159601 + 1. assign V330253 = V391228 + 1. assign V485421 = V092340 + 1. assign V694505 = V262136. assign V999064 = V084444. assign V706959 = V330253 - 1. assign V388753 = V590513 - 1. assign V006634 = V439755 + 1. assign V496783 = V301605 + 1. assign V423366 = V694505 - 1. assign V436877 = V657569 + 1. assign V520219 = V847282. assign V054905 = V807892. assign V183104 = V278047 - 1. assign V125352 = V689816 + 1. assign V807892 = V278047. assign V301605 = V262136. assign V380878 = V927599 - 1. assign V417240 = V617764 - 1. assign V290241 = V601523 + 1. assign V373494 = V496783 - 1. assign V872288 = V694229 + 1. assign V630083 = V689816. assign V783002 = V362730. assign V440518 = V679524. assign V978871 = V092340 + 1. assign V267128 = 1. assign V689754 = V877621. assign V152504 = V125352 + 1. assign V583752 = V125794. assign V091634 = V630083. assign V190901 = V277906 - 1. assign V763072 = V318386 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV267128 = 1;\n\nFrom these direct assignment(s), we have: \nV857332 = V267128 = 1;\nNo other variables can be derived from V857332;\nNo other variables can be derived from V267128;\n\nNow we have done all the calculations. Derived variables are:\nV267128 = 1;\nV857332 = 1;\n\nNow we have finished this problem. ANSWER:\nV267128, V857332\n", "role": "assistant" } ]

[ "V246777", "V981902" ]

[ { "content": "<context>\nassign V277714 = V286069 - 1. assign V497466 = V237563 - 1. assign V285683 = V159450 + 1. assign V389873 = V656488 + 1. assign V586364 = V183088 - 1. assign V451630 = V439251 - 1. assign V455458 = V509368. assign V522269 = V476870 + 1. assign V848871 = V104314 - 1. assign V733602 = V234918. assign V926904 = V352624 - 1. assign V151150 = V350626. assign V943451 = V940371 + 1. assign V008076 = V450249 - 1. assign V035697 = V189933. assign V237563 = V640185 - 1. assign V371315 = V151150. assign V817600 = V612323 + 1. assign V979814 = V530309 - 1. assign V802728 = V839271 + 1. assign V656488 = V839271 - 1. assign V183088 = V640185 + 1. assign V473120 = V508561. assign V006091 = V219677 + 1. assign V940371 = V646492 - 1. assign V373528 = V757797 - 1. assign V175333 = V104314 + 1. assign V262270 = V286069. assign V511247 = V984470. assign V349827 = V646492 - 1. assign V879948 = V855546. assign V132034 = V179681 - 1. assign V731755 = V848871 + 1. assign V967589 = V497466. assign V975060 = V709986 - 1. assign V450249 = V350626 - 1. assign V530309 = V458695 + 1. assign V778240 = V469126 - 1. assign V960159 = V971264 - 1. assign V104314 = V476870 - 1. assign V757272 = V488150. assign V151304 = V104314 + 1. assign V350626 = V877406 - 1. assign V476870 = V349827 - 1. assign V989512 = V656488 - 1. assign V784088 = V352624 - 1. assign V612323 = V450249. assign V555147 = V508561. assign V409354 = V522269. assign V838932 = V169720. assign V175227 = V832990 + 1. assign V180669 = V497466. assign V234918 = V372456. assign V806808 = V008076. assign V393755 = V371315 - 1. assign V909584 = V914348 + 1. assign V553195 = V151150 + 1. assign V273871 = V784088. assign V959431 = V592290. assign V838222 = V640185. assign V246777 = 10. assign V338964 = V926904 + 1. assign V592290 = V879948 - 1. assign V996357 = V189933. assign V082438 = V189933 - 1. assign V439251 = V640185 - 1. assign V977427 = V183088 - 1. assign V546782 = V497466 + 1. assign V984470 = V640185 + 1. assign V256759 = V733602 - 1. assign V526459 = V926904. assign V067694 = V476870 + 1. assign V640185 = V458695 - 1. assign V180545 = V855546. assign V508561 = V373528 + 1. assign V870889 = V645327 + 1. assign V352624 = V975993 - 1. assign V341488 = V721022 + 1. assign V757797 = V458695 - 1. assign V160087 = V180545 + 1. assign V568653 = V784088 - 1. assign V123125 = V848871. assign V159450 = V219677 - 1. assign V595353 = V123125 + 1. assign V537764 = V151304. assign V913341 = V879948 + 1. assign V066078 = V975060. assign V623101 = V159450 + 1. assign V268692 = V555147 + 1. assign V620395 = V721022. assign V276660 = V721022 - 1. assign V169720 = V991903 - 1. assign V633802 = V219677. assign V364461 = V760692. assign V981902 = V246777. assign V929590 = V237563. assign V271898 = V996357. assign V471888 = V236566 + 1. assign V579582 = V151304. assign V461357 = V909584. assign V384399 = V357366. assign V670015 = V169720. assign V123984 = V975993 + 1. assign V646492 = V458695 - 1. assign V949925 = V349827 - 1. assign V181474 = V637686. assign V488150 = V383799 - 1. assign V699703 = V996357 + 1. assign V255663 = V591264. assign V303052 = V975993 - 1. assign V286069 = V640185. assign V324800 = V829364 - 1. assign V377592 = V159450 + 1. assign V721022 = V458695. assign V975993 = V810941. assign V303809 = V637686 + 1. assign V040467 = V977427 + 1. assign V247178 = V455458. assign V648742 = V589257 + 1. assign V383799 = V104314 - 1. assign V015685 = V175227 - 1. assign V589257 = V476870. assign V219677 = V455458. assign V925697 = V586364 + 1. assign V534397 = V189933. assign V810941 = V183088. assign V591264 = V237563 + 1. assign V924451 = V450249 - 1. assign V518316 = V183088 - 1. assign V207133 = V975060 + 1. assign V971264 = V699703 - 1. assign V189933 = V640185 - 1. assign V855546 = V877406. assign V981910 = V612323. assign V388221 = V924451 + 1. assign V085229 = V838222 - 1. assign V645327 = V006091 - 1. assign V860054 = V592290 + 1. assign V829364 = V286069 - 1. assign V567069 = V721022 + 1. assign V596184 = V595353 + 1. assign V179681 = V810941. assign V709986 = V522269 - 1. assign V832990 = V104314. assign V623922 = V589257 + 1. assign V368002 = V103880. assign V914348 = V448473 - 1. assign V637686 = V476870 + 1. assign V172584 = V914348 + 1. assign V362307 = V169720. assign V448473 = V169720 + 1. assign V083943 = V586364. assign V236566 = V640185 - 1. assign V300361 = V183088 + 1. assign V726193 = V350626 + 1. assign V529881 = V349827 + 1. assign V469126 = V975993 - 1. assign V372456 = V877406 - 1. assign V450666 = V848871 - 1. assign V357366 = V372456 - 1. assign V117337 = V175227 - 1. assign V103880 = V595353 - 1. assign V991903 = V458695 - 1. assign V957841 = V589257 - 1. assign V561490 = V006091. assign V686559 = V234918 - 1. assign V015093 = V219677 - 1. assign V877406 = V757797 + 1. assign V509368 = V877406 + 1. assign V839271 = V236566. assign V214352 = V469126. assign V760692 = V848871 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V277714 = V286069 - 1. assign V497466 = V237563 - 1. assign V285683 = V159450 + 1. assign V389873 = V656488 + 1. assign V586364 = V183088 - 1. assign V451630 = V439251 - 1. assign V455458 = V509368. assign V522269 = V476870 + 1. assign V848871 = V104314 - 1. assign V733602 = V234918. assign V926904 = V352624 - 1. assign V151150 = V350626. assign V943451 = V940371 + 1. assign V008076 = V450249 - 1. assign V035697 = V189933. assign V237563 = V640185 - 1. assign V371315 = V151150. assign V817600 = V612323 + 1. assign V979814 = V530309 - 1. assign V802728 = V839271 + 1. assign V656488 = V839271 - 1. assign V183088 = V640185 + 1. assign V473120 = V508561. assign V006091 = V219677 + 1. assign V940371 = V646492 - 1. assign V373528 = V757797 - 1. assign V175333 = V104314 + 1. assign V262270 = V286069. assign V511247 = V984470. assign V349827 = V646492 - 1. assign V879948 = V855546. assign V132034 = V179681 - 1. assign V731755 = V848871 + 1. assign V967589 = V497466. assign V975060 = V709986 - 1. assign V450249 = V350626 - 1. assign V530309 = V458695 + 1. assign V778240 = V469126 - 1. assign V960159 = V971264 - 1. assign V104314 = V476870 - 1. assign V757272 = V488150. assign V151304 = V104314 + 1. assign V350626 = V877406 - 1. assign V476870 = V349827 - 1. assign V989512 = V656488 - 1. assign V784088 = V352624 - 1. assign V612323 = V450249. assign V555147 = V508561. assign V409354 = V522269. assign V838932 = V169720. assign V175227 = V832990 + 1. assign V180669 = V497466. assign V234918 = V372456. assign V806808 = V008076. assign V393755 = V371315 - 1. assign V909584 = V914348 + 1. assign V553195 = V151150 + 1. assign V273871 = V784088. assign V959431 = V592290. assign V838222 = V640185. assign V246777 = 10. assign V338964 = V926904 + 1. assign V592290 = V879948 - 1. assign V996357 = V189933. assign V082438 = V189933 - 1. assign V439251 = V640185 - 1. assign V977427 = V183088 - 1. assign V546782 = V497466 + 1. assign V984470 = V640185 + 1. assign V256759 = V733602 - 1. assign V526459 = V926904. assign V067694 = V476870 + 1. assign V640185 = V458695 - 1. assign V180545 = V855546. assign V508561 = V373528 + 1. assign V870889 = V645327 + 1. assign V352624 = V975993 - 1. assign V341488 = V721022 + 1. assign V757797 = V458695 - 1. assign V160087 = V180545 + 1. assign V568653 = V784088 - 1. assign V123125 = V848871. assign V159450 = V219677 - 1. assign V595353 = V123125 + 1. assign V537764 = V151304. assign V913341 = V879948 + 1. assign V066078 = V975060. assign V623101 = V159450 + 1. assign V268692 = V555147 + 1. assign V620395 = V721022. assign V276660 = V721022 - 1. assign V169720 = V991903 - 1. assign V633802 = V219677. assign V364461 = V760692. assign V981902 = V246777. assign V929590 = V237563. assign V271898 = V996357. assign V471888 = V236566 + 1. assign V579582 = V151304. assign V461357 = V909584. assign V384399 = V357366. assign V670015 = V169720. assign V123984 = V975993 + 1. assign V646492 = V458695 - 1. assign V949925 = V349827 - 1. assign V181474 = V637686. assign V488150 = V383799 - 1. assign V699703 = V996357 + 1. assign V255663 = V591264. assign V303052 = V975993 - 1. assign V286069 = V640185. assign V324800 = V829364 - 1. assign V377592 = V159450 + 1. assign V721022 = V458695. assign V975993 = V810941. assign V303809 = V637686 + 1. assign V040467 = V977427 + 1. assign V247178 = V455458. assign V648742 = V589257 + 1. assign V383799 = V104314 - 1. assign V015685 = V175227 - 1. assign V589257 = V476870. assign V219677 = V455458. assign V925697 = V586364 + 1. assign V534397 = V189933. assign V810941 = V183088. assign V591264 = V237563 + 1. assign V924451 = V450249 - 1. assign V518316 = V183088 - 1. assign V207133 = V975060 + 1. assign V971264 = V699703 - 1. assign V189933 = V640185 - 1. assign V855546 = V877406. assign V981910 = V612323. assign V388221 = V924451 + 1. assign V085229 = V838222 - 1. assign V645327 = V006091 - 1. assign V860054 = V592290 + 1. assign V829364 = V286069 - 1. assign V567069 = V721022 + 1. assign V596184 = V595353 + 1. assign V179681 = V810941. assign V709986 = V522269 - 1. assign V832990 = V104314. assign V623922 = V589257 + 1. assign V368002 = V103880. assign V914348 = V448473 - 1. assign V637686 = V476870 + 1. assign V172584 = V914348 + 1. assign V362307 = V169720. assign V448473 = V169720 + 1. assign V083943 = V586364. assign V236566 = V640185 - 1. assign V300361 = V183088 + 1. assign V726193 = V350626 + 1. assign V529881 = V349827 + 1. assign V469126 = V975993 - 1. assign V372456 = V877406 - 1. assign V450666 = V848871 - 1. assign V357366 = V372456 - 1. assign V117337 = V175227 - 1. assign V103880 = V595353 - 1. assign V991903 = V458695 - 1. assign V957841 = V589257 - 1. assign V561490 = V006091. assign V686559 = V234918 - 1. assign V015093 = V219677 - 1. assign V877406 = V757797 + 1. assign V509368 = V877406 + 1. assign V839271 = V236566. assign V214352 = V469126. assign V760692 = V848871 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV246777 = 10;\n\nFrom these direct assignment(s), we have: \nV981902 = V246777 = 10;\nNo other variables can be derived from V981902;\nNo other variables can be derived from V246777;\n\nNow we have done all the calculations. Derived variables are:\nV246777 = 10;\nV981902 = 10;\n\nNow we have finished this problem. ANSWER:\nV246777, V981902\n", "role": "assistant" } ]

[ "V677041", "V003989" ]

[ { "content": "<context>\nassign V927057 = V187419. assign V852675 = V752052 + 1. assign V401549 = V583825. assign V462837 = V303321 - 1. assign V071040 = V954955 - 1. assign V091524 = V188094 + 1. assign V917938 = V303321 - 1. assign V032390 = V274510 + 1. assign V013348 = V274510. assign V358363 = V274510 - 1. assign V972853 = V488202. assign V905939 = V270007 + 1. assign V090091 = V303321 - 1. assign V776682 = V965566 - 1. assign V804591 = V450616 + 1. assign V685097 = V101000 - 1. assign V091883 = V954955 - 1. assign V049670 = V462837. assign V938467 = V150351. assign V287072 = V717337 + 1. assign V540511 = V874604. assign V629775 = V774756 + 1. assign V271885 = V540511. assign V200305 = V540511. assign V278832 = V274779 + 1. assign V583825 = V375127 + 1. assign V038397 = V930735 - 1. assign V808732 = V101000 - 1. assign V656541 = V560085 - 1. assign V521670 = V738450 - 1. assign V672211 = V923442. assign V128897 = V140178. assign V114649 = V764357. assign V488202 = V364494. assign V165609 = V274779. assign V789789 = V265662 - 1. assign V859257 = V886683. assign V070808 = V583825 + 1. assign V813191 = V923442 + 1. assign V883543 = V469178 - 1. assign V791916 = V872405 + 1. assign V375127 = V518219 - 1. assign V872405 = V520403. assign V101000 = V274510. assign V487433 = V752052 - 1. assign V115639 = V375127 + 1. assign V312226 = V115639. assign V265662 = V303321. assign V636164 = V257261 - 1. assign V273437 = V614794 - 1. assign V109855 = V274510 - 1. assign V566615 = V270007. assign V532256 = V488202 + 1. assign V614794 = V270007 - 1. assign V119150 = V274510 - 1. assign V151350 = V278832 - 1. assign V364494 = V032524. assign V752052 = V462837 + 1. assign V922194 = V468516 + 1. assign V484917 = V468516 + 1. assign V907450 = V521670 + 1. assign V560085 = V375127. assign V498894 = V521670 + 1. assign V150351 = V274779. assign V874604 = V303321. assign V142293 = V115127 + 1. assign V965566 = V128897 - 1. assign V376435 = V447407 + 1. assign V420075 = V257261 + 1. assign V936883 = V540511 - 1. assign V328544 = V469178. assign V959058 = V312226 - 1. assign V068173 = V257261 - 1. assign V988538 = V450616. assign V923442 = V487433 + 1. assign V403441 = V303321 - 1. assign V488774 = V032524 + 1. assign V972229 = V071040 - 1. assign V998904 = V469178 - 1. assign V220140 = V936883. assign V257261 = V140178 - 1. assign V584833 = V188094. assign V303321 = V649639 - 1. assign V954955 = V257261 + 1. assign V637737 = V032524. assign V350684 = V151350. assign V381101 = V150351. assign V585137 = V200305. assign V434077 = V752052 + 1. assign V930735 = V710163. assign V390525 = V278832. assign V590589 = V988538 - 1. assign V580985 = V917938 - 1. assign V466740 = V930668. assign V534385 = V583825 - 1. assign V774756 = V623768 + 1. assign V099476 = V462837. assign V147664 = V187419. assign V187419 = V257261 - 1. assign V151683 = V115127 + 1. assign V194334 = V966967. assign V623768 = V583825 - 1. assign V943146 = V450616. assign V783768 = V471744. assign V157446 = V954955 - 1. assign V717337 = V466005 + 1. assign V254297 = V791916. assign V672657 = V469178. assign V105459 = V471744 - 1. assign V426651 = V518219 - 1. assign V154439 = V257261. assign V135650 = V930735 - 1. assign V109446 = V274510 - 1. assign V003989 = V677041. assign V466005 = V096724. assign V601830 = V350684 + 1. assign V028610 = V403441 - 1. assign V083282 = V140178 - 1. assign V764357 = V649639. assign V471744 = V165609. assign V219728 = V119150 - 1. assign V978515 = V804591 + 1. assign V240364 = V518219 - 1. assign V143612 = V188094 - 1. assign V293096 = V096724. assign V274779 = V140178 + 1. assign V518219 = V101000. assign V110534 = V471744. assign V468516 = V270007. assign V060717 = V032524 + 1. assign V035229 = V938467 + 1. assign V028541 = V287072 - 1. assign V253287 = V119150 - 1. assign V460668 = V635415. assign V485932 = V943146 + 1. assign V677041 = 1. assign V469178 = V518219. assign V270007 = V274510 + 1. assign V447407 = V154439 - 1. assign V620700 = V270007 + 1. assign V289702 = V200305 - 1. assign V781023 = V469178 + 1. assign V188094 = V793725. assign V238346 = V375127. assign V780274 = V462837 + 1. assign V862295 = V364494 + 1. assign V679316 = V804591 - 1. assign V643852 = V257261. assign V193774 = V070808 - 1. assign V649639 = V274510 - 1. assign V710163 = V214060 + 1. assign V520403 = V518219. assign V717744 = V649639 + 1. assign V988775 = V580985 + 1. assign V635415 = V717337 - 1. assign V793725 = V274510 + 1. assign V877092 = V110534. assign V930668 = V151350 - 1. assign V096724 = V140178. assign V113643 = V930735 - 1. assign V635751 = V115639 + 1. assign V738450 = V793725 - 1. assign V450616 = V808732 + 1. assign V886683 = V035229 + 1. assign V160944 = V253287 - 1. assign V966967 = V150351 + 1. assign V689615 = V270007 - 1. assign V115127 = V214060. assign V214060 = V274510 + 1. assign V032524 = V358363 - 1. assign V140178 = V518219 + 1. assign V768737 = V110534 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V927057 = V187419. assign V852675 = V752052 + 1. assign V401549 = V583825. assign V462837 = V303321 - 1. assign V071040 = V954955 - 1. assign V091524 = V188094 + 1. assign V917938 = V303321 - 1. assign V032390 = V274510 + 1. assign V013348 = V274510. assign V358363 = V274510 - 1. assign V972853 = V488202. assign V905939 = V270007 + 1. assign V090091 = V303321 - 1. assign V776682 = V965566 - 1. assign V804591 = V450616 + 1. assign V685097 = V101000 - 1. assign V091883 = V954955 - 1. assign V049670 = V462837. assign V938467 = V150351. assign V287072 = V717337 + 1. assign V540511 = V874604. assign V629775 = V774756 + 1. assign V271885 = V540511. assign V200305 = V540511. assign V278832 = V274779 + 1. assign V583825 = V375127 + 1. assign V038397 = V930735 - 1. assign V808732 = V101000 - 1. assign V656541 = V560085 - 1. assign V521670 = V738450 - 1. assign V672211 = V923442. assign V128897 = V140178. assign V114649 = V764357. assign V488202 = V364494. assign V165609 = V274779. assign V789789 = V265662 - 1. assign V859257 = V886683. assign V070808 = V583825 + 1. assign V813191 = V923442 + 1. assign V883543 = V469178 - 1. assign V791916 = V872405 + 1. assign V375127 = V518219 - 1. assign V872405 = V520403. assign V101000 = V274510. assign V487433 = V752052 - 1. assign V115639 = V375127 + 1. assign V312226 = V115639. assign V265662 = V303321. assign V636164 = V257261 - 1. assign V273437 = V614794 - 1. assign V109855 = V274510 - 1. assign V566615 = V270007. assign V532256 = V488202 + 1. assign V614794 = V270007 - 1. assign V119150 = V274510 - 1. assign V151350 = V278832 - 1. assign V364494 = V032524. assign V752052 = V462837 + 1. assign V922194 = V468516 + 1. assign V484917 = V468516 + 1. assign V907450 = V521670 + 1. assign V560085 = V375127. assign V498894 = V521670 + 1. assign V150351 = V274779. assign V874604 = V303321. assign V142293 = V115127 + 1. assign V965566 = V128897 - 1. assign V376435 = V447407 + 1. assign V420075 = V257261 + 1. assign V936883 = V540511 - 1. assign V328544 = V469178. assign V959058 = V312226 - 1. assign V068173 = V257261 - 1. assign V988538 = V450616. assign V923442 = V487433 + 1. assign V403441 = V303321 - 1. assign V488774 = V032524 + 1. assign V972229 = V071040 - 1. assign V998904 = V469178 - 1. assign V220140 = V936883. assign V257261 = V140178 - 1. assign V584833 = V188094. assign V303321 = V649639 - 1. assign V954955 = V257261 + 1. assign V637737 = V032524. assign V350684 = V151350. assign V381101 = V150351. assign V585137 = V200305. assign V434077 = V752052 + 1. assign V930735 = V710163. assign V390525 = V278832. assign V590589 = V988538 - 1. assign V580985 = V917938 - 1. assign V466740 = V930668. assign V534385 = V583825 - 1. assign V774756 = V623768 + 1. assign V099476 = V462837. assign V147664 = V187419. assign V187419 = V257261 - 1. assign V151683 = V115127 + 1. assign V194334 = V966967. assign V623768 = V583825 - 1. assign V943146 = V450616. assign V783768 = V471744. assign V157446 = V954955 - 1. assign V717337 = V466005 + 1. assign V254297 = V791916. assign V672657 = V469178. assign V105459 = V471744 - 1. assign V426651 = V518219 - 1. assign V154439 = V257261. assign V135650 = V930735 - 1. assign V109446 = V274510 - 1. assign V003989 = V677041. assign V466005 = V096724. assign V601830 = V350684 + 1. assign V028610 = V403441 - 1. assign V083282 = V140178 - 1. assign V764357 = V649639. assign V471744 = V165609. assign V219728 = V119150 - 1. assign V978515 = V804591 + 1. assign V240364 = V518219 - 1. assign V143612 = V188094 - 1. assign V293096 = V096724. assign V274779 = V140178 + 1. assign V518219 = V101000. assign V110534 = V471744. assign V468516 = V270007. assign V060717 = V032524 + 1. assign V035229 = V938467 + 1. assign V028541 = V287072 - 1. assign V253287 = V119150 - 1. assign V460668 = V635415. assign V485932 = V943146 + 1. assign V677041 = 1. assign V469178 = V518219. assign V270007 = V274510 + 1. assign V447407 = V154439 - 1. assign V620700 = V270007 + 1. assign V289702 = V200305 - 1. assign V781023 = V469178 + 1. assign V188094 = V793725. assign V238346 = V375127. assign V780274 = V462837 + 1. assign V862295 = V364494 + 1. assign V679316 = V804591 - 1. assign V643852 = V257261. assign V193774 = V070808 - 1. assign V649639 = V274510 - 1. assign V710163 = V214060 + 1. assign V520403 = V518219. assign V717744 = V649639 + 1. assign V988775 = V580985 + 1. assign V635415 = V717337 - 1. assign V793725 = V274510 + 1. assign V877092 = V110534. assign V930668 = V151350 - 1. assign V096724 = V140178. assign V113643 = V930735 - 1. assign V635751 = V115639 + 1. assign V738450 = V793725 - 1. assign V450616 = V808732 + 1. assign V886683 = V035229 + 1. assign V160944 = V253287 - 1. assign V966967 = V150351 + 1. assign V689615 = V270007 - 1. assign V115127 = V214060. assign V214060 = V274510 + 1. assign V032524 = V358363 - 1. assign V140178 = V518219 + 1. assign V768737 = V110534 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV677041 = 1;\n\nFrom these direct assignment(s), we have: \nV003989 = V677041 = 1;\nNo other variables can be derived from V003989;\nNo other variables can be derived from V677041;\n\nNow we have done all the calculations. Derived variables are:\nV677041 = 1;\nV003989 = 1;\n\nNow we have finished this problem. ANSWER:\nV677041, V003989\n", "role": "assistant" } ]

[ "V622706" ]

[ { "content": "<context>\nassign V351786 = V142257 + 1. assign V676134 = V786314 - 1. assign V549845 = V571302 - 1. assign V190451 = V232617 + 1. assign V970523 = V590520 - 1. assign V709976 = V704329 + 1. assign V800714 = V710433. assign V932782 = V237877 + 1. assign V771601 = V398143 + 1. assign V420952 = V704329. assign V365227 = V726116 - 1. assign V345964 = V292613. assign V597886 = V007302. assign V918222 = V283501. assign V121652 = V374065 - 1. assign V292142 = V232617 + 1. assign V452948 = V549845 - 1. assign V786314 = V391972 + 1. assign V452338 = V294981. assign V822739 = V087908 + 1. assign V087908 = V571302 + 1. assign V822542 = V007302 + 1. assign V094796 = V510530 + 1. assign V734711 = V510530 + 1. assign V751046 = V590520 - 1. assign V544186 = V533707 - 1. assign V827228 = V563943 + 1. assign V749494 = V562915 + 1. assign V585243 = V750389 - 1. assign V724380 = V749494 + 1. assign V346085 = V420952. assign V396221 = V268707. assign V710433 = V244700 - 1. assign V014960 = V507692 + 1. assign V836789 = V027379 - 1. assign V169498 = V076500. assign V622706 = 10. assign V908315 = V533707 + 1. assign V865920 = V278596. assign V470566 = V564055. assign V629606 = V932782 + 1. assign V500252 = V586755. assign V451976 = V882641. assign V823002 = V417586. assign V564055 = V500252 + 1. assign V007302 = V993283 - 1. assign V243477 = V571302 - 1. assign V800673 = V709976 - 1. assign V725920 = V777329 + 1. assign V636757 = V417586 - 1. assign V124846 = V510530. assign V971629 = V777329. assign V411651 = V500252 - 1. assign V882641 = V156517 + 1. assign V510530 = V087908 - 1. assign V508831 = V953832 + 1. assign V829881 = V027379 - 1. assign V890962 = V749973 + 1. assign V374518 = V533707. assign V502661 = V417586. assign V890148 = V328309 - 1. assign V726116 = V709976. assign V056881 = V562915. assign V083861 = V190451. assign V953832 = V932782 - 1. assign V280965 = V750389 - 1. assign V965655 = V533707 + 1. assign V278596 = V243477 + 1. assign V750389 = V247215 + 1. assign V849589 = V653892. assign V910750 = V510530 - 1. assign V780353 = V268707. assign V232617 = V420952 - 1. assign V111685 = V391972. assign V411906 = V292142 - 1. assign V590520 = V170671. assign V960892 = V398928 - 1. assign V116501 = V145058 - 1. assign V189518 = V280965 - 1. assign V509705 = V398928. assign V867848 = V116291 + 1. assign V826786 = V510530 - 1. assign V470200 = V780353. assign V137971 = V563943. assign V385751 = V521658 + 1. assign V456919 = V622706 + 1. assign V533707 = V709976 - 1. assign V027379 = V510530 + 1. assign V374065 = V466622 + 1. assign V162689 = V627283 + 1. assign V332435 = V374518 + 1. assign V481706 = V272803 + 1. assign V029302 = V232617. assign V653892 = V571302. assign V213640 = V562915 - 1. assign V170671 = V345964 - 1. assign V613560 = V411651 - 1. assign V206834 = V822739 - 1. assign V156517 = V884739 + 1. assign V735023 = V346085. assign V085199 = V481706 - 1. assign V999766 = V704329 + 1. assign V922738 = V244700. assign V311940 = V777329 + 1. assign V604380 = V734711. assign V292613 = V243477 + 1. assign V151635 = V508831 - 1. assign V599538 = V725920. assign V244700 = V087908 - 1. assign V669659 = V029302 + 1. assign V398143 = V454519 - 1. assign V145058 = V405348 - 1. assign V716530 = V470566. assign V536815 = V585243 + 1. assign V301426 = V280965 - 1. assign V904478 = V417586 - 1. assign V571302 = V704329 - 1. assign V391972 = V734711 + 1. assign V138453 = V597886 - 1. assign V417586 = V247215 + 1. assign V682553 = V827228 - 1. assign V884739 = V087908 - 1. assign V674511 = V571302 + 1. assign V562915 = V243477. assign V627283 = V243477 + 1. assign V116291 = V405348. assign V405348 = V247215. assign V244896 = V411906 + 1. assign V357257 = V454519. assign V879112 = V014960 - 1. assign V654069 = V910750 + 1. assign V118826 = V206834 - 1. assign V227553 = V533707 - 1. assign V339514 = V627283 + 1. assign V272803 = V918222 + 1. assign V142257 = V004614 + 1. assign V651433 = V780353 - 1. assign V440149 = V549845. assign V993283 = V571302. assign V466622 = V189518 + 1. assign V335331 = V116291 + 1. assign V777329 = V292613 + 1. assign V075300 = V571302 - 1. assign V862115 = V237877. assign V237877 = V562915. assign V071401 = V549845. assign V004614 = V507692. assign V398928 = V071401. assign V283501 = V311163. assign V747001 = V283501 - 1. assign V507692 = V932782 - 1. assign V749973 = V170671 - 1. assign V563943 = V564055 - 1. assign V768595 = V328309 + 1. assign V294981 = V508831. assign V076500 = V627283. assign V303783 = V301426. assign V730330 = V237877. assign V311163 = V071401 - 1. assign V904602 = V170671 + 1. assign V689569 = V244700 + 1. assign V521658 = V346085 - 1. assign V008472 = V709976 + 1. assign V465475 = V405348. assign V212728 = V585243. assign V328309 = V417586. assign V586755 = V071401. assign V509894 = V932782. assign V247215 = V243477. assign V268707 = V704329. assign V454519 = V510530. assign V555402 = V549845.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V351786 = V142257 + 1. assign V676134 = V786314 - 1. assign V549845 = V571302 - 1. assign V190451 = V232617 + 1. assign V970523 = V590520 - 1. assign V709976 = V704329 + 1. assign V800714 = V710433. assign V932782 = V237877 + 1. assign V771601 = V398143 + 1. assign V420952 = V704329. assign V365227 = V726116 - 1. assign V345964 = V292613. assign V597886 = V007302. assign V918222 = V283501. assign V121652 = V374065 - 1. assign V292142 = V232617 + 1. assign V452948 = V549845 - 1. assign V786314 = V391972 + 1. assign V452338 = V294981. assign V822739 = V087908 + 1. assign V087908 = V571302 + 1. assign V822542 = V007302 + 1. assign V094796 = V510530 + 1. assign V734711 = V510530 + 1. assign V751046 = V590520 - 1. assign V544186 = V533707 - 1. assign V827228 = V563943 + 1. assign V749494 = V562915 + 1. assign V585243 = V750389 - 1. assign V724380 = V749494 + 1. assign V346085 = V420952. assign V396221 = V268707. assign V710433 = V244700 - 1. assign V014960 = V507692 + 1. assign V836789 = V027379 - 1. assign V169498 = V076500. assign V622706 = 10. assign V908315 = V533707 + 1. assign V865920 = V278596. assign V470566 = V564055. assign V629606 = V932782 + 1. assign V500252 = V586755. assign V451976 = V882641. assign V823002 = V417586. assign V564055 = V500252 + 1. assign V007302 = V993283 - 1. assign V243477 = V571302 - 1. assign V800673 = V709976 - 1. assign V725920 = V777329 + 1. assign V636757 = V417586 - 1. assign V124846 = V510530. assign V971629 = V777329. assign V411651 = V500252 - 1. assign V882641 = V156517 + 1. assign V510530 = V087908 - 1. assign V508831 = V953832 + 1. assign V829881 = V027379 - 1. assign V890962 = V749973 + 1. assign V374518 = V533707. assign V502661 = V417586. assign V890148 = V328309 - 1. assign V726116 = V709976. assign V056881 = V562915. assign V083861 = V190451. assign V953832 = V932782 - 1. assign V280965 = V750389 - 1. assign V965655 = V533707 + 1. assign V278596 = V243477 + 1. assign V750389 = V247215 + 1. assign V849589 = V653892. assign V910750 = V510530 - 1. assign V780353 = V268707. assign V232617 = V420952 - 1. assign V111685 = V391972. assign V411906 = V292142 - 1. assign V590520 = V170671. assign V960892 = V398928 - 1. assign V116501 = V145058 - 1. assign V189518 = V280965 - 1. assign V509705 = V398928. assign V867848 = V116291 + 1. assign V826786 = V510530 - 1. assign V470200 = V780353. assign V137971 = V563943. assign V385751 = V521658 + 1. assign V456919 = V622706 + 1. assign V533707 = V709976 - 1. assign V027379 = V510530 + 1. assign V374065 = V466622 + 1. assign V162689 = V627283 + 1. assign V332435 = V374518 + 1. assign V481706 = V272803 + 1. assign V029302 = V232617. assign V653892 = V571302. assign V213640 = V562915 - 1. assign V170671 = V345964 - 1. assign V613560 = V411651 - 1. assign V206834 = V822739 - 1. assign V156517 = V884739 + 1. assign V735023 = V346085. assign V085199 = V481706 - 1. assign V999766 = V704329 + 1. assign V922738 = V244700. assign V311940 = V777329 + 1. assign V604380 = V734711. assign V292613 = V243477 + 1. assign V151635 = V508831 - 1. assign V599538 = V725920. assign V244700 = V087908 - 1. assign V669659 = V029302 + 1. assign V398143 = V454519 - 1. assign V145058 = V405348 - 1. assign V716530 = V470566. assign V536815 = V585243 + 1. assign V301426 = V280965 - 1. assign V904478 = V417586 - 1. assign V571302 = V704329 - 1. assign V391972 = V734711 + 1. assign V138453 = V597886 - 1. assign V417586 = V247215 + 1. assign V682553 = V827228 - 1. assign V884739 = V087908 - 1. assign V674511 = V571302 + 1. assign V562915 = V243477. assign V627283 = V243477 + 1. assign V116291 = V405348. assign V405348 = V247215. assign V244896 = V411906 + 1. assign V357257 = V454519. assign V879112 = V014960 - 1. assign V654069 = V910750 + 1. assign V118826 = V206834 - 1. assign V227553 = V533707 - 1. assign V339514 = V627283 + 1. assign V272803 = V918222 + 1. assign V142257 = V004614 + 1. assign V651433 = V780353 - 1. assign V440149 = V549845. assign V993283 = V571302. assign V466622 = V189518 + 1. assign V335331 = V116291 + 1. assign V777329 = V292613 + 1. assign V075300 = V571302 - 1. assign V862115 = V237877. assign V237877 = V562915. assign V071401 = V549845. assign V004614 = V507692. assign V398928 = V071401. assign V283501 = V311163. assign V747001 = V283501 - 1. assign V507692 = V932782 - 1. assign V749973 = V170671 - 1. assign V563943 = V564055 - 1. assign V768595 = V328309 + 1. assign V294981 = V508831. assign V076500 = V627283. assign V303783 = V301426. assign V730330 = V237877. assign V311163 = V071401 - 1. assign V904602 = V170671 + 1. assign V689569 = V244700 + 1. assign V521658 = V346085 - 1. assign V008472 = V709976 + 1. assign V465475 = V405348. assign V212728 = V585243. assign V328309 = V417586. assign V586755 = V071401. assign V509894 = V932782. assign V247215 = V243477. assign V268707 = V704329. assign V454519 = V510530. assign V555402 = V549845.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV622706 = 10;\n\nFrom these direct assignment(s), we have: \nV456919 = V622706 + 1 = 10 + 1 =11;\nNo other variables can be derived from V456919;\nNo other variables can be derived from V622706;\n\nNow we have done all the calculations. Derived variables are:\nV622706 = 10;\nV456919 = 11;\n\nNow we have finished this problem. ANSWER:\nV622706\n", "role": "assistant" } ]

[ "V395943", "V983040" ]

[ { "content": "<context>\nassign V982087 = V940789. assign V118987 = V919129 + 1. assign V936478 = V357737. assign V701031 = V797849. assign V415841 = V008523 + 1. assign V128502 = V281211 - 1. assign V552377 = V337313 - 1. assign V481329 = V337313 + 1. assign V251981 = V119255 + 1. assign V828574 = V698318 + 1. assign V438162 = V278593 + 1. assign V486446 = V047895 - 1. assign V725958 = V438162 + 1. assign V823957 = V546953 + 1. assign V271423 = V799256 - 1. assign V309924 = V337313 + 1. assign V010009 = V701031. assign V619105 = V349690 + 1. assign V641239 = V713490 + 1. assign V832966 = V659372 - 1. assign V025420 = V693513 + 1. assign V674760 = V104518 + 1. assign V577653 = V444984 - 1. assign V877414 = V768639 - 1. assign V047895 = V683744 + 1. assign V102922 = V047895 - 1. assign V009355 = V415865 - 1. assign V722178 = V251981 - 1. assign V940789 = V577872. assign V768639 = V444617. assign V115864 = V278593 - 1. assign V456854 = V820321 - 1. assign V420573 = V436363. assign V474818 = V841539 + 1. assign V233232 = V820321 + 1. assign V008523 = V357737. assign V100880 = V104518. assign V536382 = V466780 + 1. assign V980046 = V838240 - 1. assign V963433 = V128502 - 1. assign V461635 = V415841 - 1. assign V828400 = V958859 + 1. assign V353316 = V589628 - 1. assign V109992 = V009566. assign V163042 = V353316. assign V527552 = V444617 + 1. assign V945584 = V115864 - 1. assign V602858 = V523182. assign V508524 = V721086 + 1. assign V362248 = V075114. assign V554227 = V887931 + 1. assign V796070 = V195729 + 1. assign V745883 = V683744 - 1. assign V337313 = V278593 + 1. assign V809213 = V481329 - 1. assign V493283 = V820038 + 1. assign V983040 = V395943. assign V919129 = V444984 - 1. assign V659372 = V271423. assign V119255 = V546953 - 1. assign V698318 = V104518 - 1. assign V536986 = V353316 - 1. assign V165191 = V104518 - 1. assign V546953 = V838240. assign V622765 = V900676. assign V214243 = V659372 + 1. assign V833421 = V420573 - 1. assign V680912 = V409818. assign V223009 = V009355 - 1. assign V959819 = V841539 + 1. assign V012257 = V622765 - 1. assign V023361 = V945584 + 1. assign V454449 = V768639 - 1. assign V721086 = V008523. assign V523182 = V281211 + 1. assign V799256 = V278593. assign V436363 = V587939 - 1. assign V930527 = V444617. assign V966145 = V165191 + 1. assign V452233 = V409818. assign V900676 = V683744. assign V352036 = V887931 + 1. assign V657399 = V546953 + 1. assign V382818 = V842918. assign V049731 = V073332 - 1. assign V098781 = V674760 - 1. assign V356195 = V727886 + 1. assign V436646 = V075114 + 1. assign V020699 = V023361 - 1. assign V587939 = V820321 + 1. assign V983981 = V588622. assign V958859 = V008523 - 1. assign V683744 = V008523 - 1. assign V838206 = V278593 - 1. assign V213833 = V211878 - 1. assign V211878 = V930527. assign V838240 = V357737. assign V444984 = V353316 + 1. assign V693513 = V877414 + 1. assign V376355 = V009566 + 1. assign V589323 = V725958. assign V642259 = V527552 + 1. assign V887365 = V353316. assign V637235 = V838206 + 1. assign V349690 = V523182. assign V648945 = V119255 + 1. assign V203183 = V098781. assign V974727 = V115864. assign V466780 = V958859. assign V073332 = V887365 - 1. assign V797849 = V838206 - 1. assign V059866 = V941592 - 1. assign V727886 = V527552 + 1. assign V613619 = V049731 + 1. assign V841539 = V693513 - 1. assign V013277 = V725958 + 1. assign V183357 = V309924. assign V280065 = V693513 + 1. assign V839198 = V587939. assign V395943 = 0. assign V415533 = V444617 - 1. assign V783158 = V163042 + 1. assign V209172 = V680912 + 1. assign V589628 = V357737 - 1. assign V304836 = V012257 + 1. assign V751961 = V309924 + 1. assign V281211 = V409818 + 1. assign V372193 = V278114 + 1. assign V713490 = V527552 + 1. assign V820321 = V444617. assign V588622 = V536986. assign V360227 = V271423 + 1. assign V663375 = V588622. assign V642038 = V102260. assign V357737 = V768639 + 1. assign V278593 = V679067 - 1. assign V939983 = V958859. assign V123421 = V163042 + 1. assign V577872 = V659372 + 1. assign V195729 = V278593 - 1. assign V009566 = V438162 - 1. assign V423052 = V713490 + 1. assign V946463 = V828574 - 1. assign V707115 = V438162 - 1. assign V832929 = V745883. assign V143766 = V823957. assign V226033 = V436363. assign V260143 = V415533. assign V278114 = V838206 + 1. assign V748237 = V251981 - 1. assign V747550 = V211878 - 1. assign V415865 = V936478 + 1. assign V102260 = V838206 + 1. assign V941592 = V353316. assign V842918 = V546953 - 1. assign V679067 = V444617 - 1. assign V026888 = V527552. assign V765235 = V209172 + 1. assign V695858 = V820321 + 1. assign V409818 = V693513. assign V547709 = V357737. assign V459510 = V747550 - 1. assign V273361 = V877414 - 1. assign V820038 = V309924 + 1. assign V104518 = V444617 - 1. assign V310068 = V461635. assign V075114 = V073332 + 1. assign V141200 = V508524 - 1. assign V064963 = V588622 - 1. assign V887931 = V659372 + 1. assign V796648 = V360227 + 1. assign V200422 = V727886 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V982087 = V940789. assign V118987 = V919129 + 1. assign V936478 = V357737. assign V701031 = V797849. assign V415841 = V008523 + 1. assign V128502 = V281211 - 1. assign V552377 = V337313 - 1. assign V481329 = V337313 + 1. assign V251981 = V119255 + 1. assign V828574 = V698318 + 1. assign V438162 = V278593 + 1. assign V486446 = V047895 - 1. assign V725958 = V438162 + 1. assign V823957 = V546953 + 1. assign V271423 = V799256 - 1. assign V309924 = V337313 + 1. assign V010009 = V701031. assign V619105 = V349690 + 1. assign V641239 = V713490 + 1. assign V832966 = V659372 - 1. assign V025420 = V693513 + 1. assign V674760 = V104518 + 1. assign V577653 = V444984 - 1. assign V877414 = V768639 - 1. assign V047895 = V683744 + 1. assign V102922 = V047895 - 1. assign V009355 = V415865 - 1. assign V722178 = V251981 - 1. assign V940789 = V577872. assign V768639 = V444617. assign V115864 = V278593 - 1. assign V456854 = V820321 - 1. assign V420573 = V436363. assign V474818 = V841539 + 1. assign V233232 = V820321 + 1. assign V008523 = V357737. assign V100880 = V104518. assign V536382 = V466780 + 1. assign V980046 = V838240 - 1. assign V963433 = V128502 - 1. assign V461635 = V415841 - 1. assign V828400 = V958859 + 1. assign V353316 = V589628 - 1. assign V109992 = V009566. assign V163042 = V353316. assign V527552 = V444617 + 1. assign V945584 = V115864 - 1. assign V602858 = V523182. assign V508524 = V721086 + 1. assign V362248 = V075114. assign V554227 = V887931 + 1. assign V796070 = V195729 + 1. assign V745883 = V683744 - 1. assign V337313 = V278593 + 1. assign V809213 = V481329 - 1. assign V493283 = V820038 + 1. assign V983040 = V395943. assign V919129 = V444984 - 1. assign V659372 = V271423. assign V119255 = V546953 - 1. assign V698318 = V104518 - 1. assign V536986 = V353316 - 1. assign V165191 = V104518 - 1. assign V546953 = V838240. assign V622765 = V900676. assign V214243 = V659372 + 1. assign V833421 = V420573 - 1. assign V680912 = V409818. assign V223009 = V009355 - 1. assign V959819 = V841539 + 1. assign V012257 = V622765 - 1. assign V023361 = V945584 + 1. assign V454449 = V768639 - 1. assign V721086 = V008523. assign V523182 = V281211 + 1. assign V799256 = V278593. assign V436363 = V587939 - 1. assign V930527 = V444617. assign V966145 = V165191 + 1. assign V452233 = V409818. assign V900676 = V683744. assign V352036 = V887931 + 1. assign V657399 = V546953 + 1. assign V382818 = V842918. assign V049731 = V073332 - 1. assign V098781 = V674760 - 1. assign V356195 = V727886 + 1. assign V436646 = V075114 + 1. assign V020699 = V023361 - 1. assign V587939 = V820321 + 1. assign V983981 = V588622. assign V958859 = V008523 - 1. assign V683744 = V008523 - 1. assign V838206 = V278593 - 1. assign V213833 = V211878 - 1. assign V211878 = V930527. assign V838240 = V357737. assign V444984 = V353316 + 1. assign V693513 = V877414 + 1. assign V376355 = V009566 + 1. assign V589323 = V725958. assign V642259 = V527552 + 1. assign V887365 = V353316. assign V637235 = V838206 + 1. assign V349690 = V523182. assign V648945 = V119255 + 1. assign V203183 = V098781. assign V974727 = V115864. assign V466780 = V958859. assign V073332 = V887365 - 1. assign V797849 = V838206 - 1. assign V059866 = V941592 - 1. assign V727886 = V527552 + 1. assign V613619 = V049731 + 1. assign V841539 = V693513 - 1. assign V013277 = V725958 + 1. assign V183357 = V309924. assign V280065 = V693513 + 1. assign V839198 = V587939. assign V395943 = 0. assign V415533 = V444617 - 1. assign V783158 = V163042 + 1. assign V209172 = V680912 + 1. assign V589628 = V357737 - 1. assign V304836 = V012257 + 1. assign V751961 = V309924 + 1. assign V281211 = V409818 + 1. assign V372193 = V278114 + 1. assign V713490 = V527552 + 1. assign V820321 = V444617. assign V588622 = V536986. assign V360227 = V271423 + 1. assign V663375 = V588622. assign V642038 = V102260. assign V357737 = V768639 + 1. assign V278593 = V679067 - 1. assign V939983 = V958859. assign V123421 = V163042 + 1. assign V577872 = V659372 + 1. assign V195729 = V278593 - 1. assign V009566 = V438162 - 1. assign V423052 = V713490 + 1. assign V946463 = V828574 - 1. assign V707115 = V438162 - 1. assign V832929 = V745883. assign V143766 = V823957. assign V226033 = V436363. assign V260143 = V415533. assign V278114 = V838206 + 1. assign V748237 = V251981 - 1. assign V747550 = V211878 - 1. assign V415865 = V936478 + 1. assign V102260 = V838206 + 1. assign V941592 = V353316. assign V842918 = V546953 - 1. assign V679067 = V444617 - 1. assign V026888 = V527552. assign V765235 = V209172 + 1. assign V695858 = V820321 + 1. assign V409818 = V693513. assign V547709 = V357737. assign V459510 = V747550 - 1. assign V273361 = V877414 - 1. assign V820038 = V309924 + 1. assign V104518 = V444617 - 1. assign V310068 = V461635. assign V075114 = V073332 + 1. assign V141200 = V508524 - 1. assign V064963 = V588622 - 1. assign V887931 = V659372 + 1. assign V796648 = V360227 + 1. assign V200422 = V727886 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV395943 = 0;\n\nFrom these direct assignment(s), we have: \nV983040 = V395943 = 0;\nNo other variables can be derived from V983040;\nNo other variables can be derived from V395943;\n\nNow we have done all the calculations. Derived variables are:\nV395943 = 0;\nV983040 = 0;\n\nNow we have finished this problem. ANSWER:\nV395943, V983040\n", "role": "assistant" } ]

[ "V942736" ]

[ { "content": "<context>\nassign V646262 = V501606. assign V152515 = V129959 + 1. assign V000303 = V957313 + 1. assign V085901 = V741592. assign V045736 = V961288. assign V924758 = V425535 - 1. assign V773516 = V132967 - 1. assign V597011 = V717238 + 1. assign V855972 = V599759 - 1. assign V520473 = V770034. assign V451392 = V394668 - 1. assign V027960 = V599759. assign V113415 = V618856 + 1. assign V132967 = V498613 + 1. assign V525812 = V755653 - 1. assign V164145 = V393118. assign V388840 = V732905. assign V049448 = V415246 - 1. assign V045274 = V936533 - 1. assign V537631 = V583923 + 1. assign V768486 = V583923 - 1. assign V428285 = V050040 + 1. assign V255909 = V989116 + 1. assign V370299 = V415246. assign V936533 = V597011 - 1. assign V602647 = V236296 - 1. assign V362086 = V652255 + 1. assign V242732 = V490746 - 1. assign V903405 = V728779. assign V129959 = V496645 - 1. assign V815588 = V732905 - 1. assign V961153 = V812260 - 1. assign V610082 = V498613 + 1. assign V732905 = V400676 - 1. assign V683649 = V876164. assign V394668 = V508450 + 1. assign V599759 = V490746. assign V732261 = V552752 + 1. assign V942736 = V986571 + 1. assign V238836 = V652255. assign V336731 = V940083 + 1. assign V932908 = V498613 + 1. assign V652255 = V343436 - 1. assign V121416 = V855350 + 1. assign V546407 = V115045. assign V997572 = V000303. assign V192462 = V717238 - 1. assign V196665 = V730285 - 1. assign V653311 = V113415 - 1. assign V741592 = V880167 - 1. assign V041189 = V416811 + 1. assign V013375 = V312822. assign V246343 = V924758 - 1. assign V115045 = V613107 + 1. assign V880167 = V613107 + 1. assign V146810 = V298858. assign V458330 = V264195 + 1. assign V730201 = V155688. assign V311548 = V821756 - 1. assign V393118 = V689081 - 1. assign V940083 = V461421 + 1. assign V479075 = V164145 + 1. assign V552752 = V924758 - 1. assign V704942 = V941613 + 1. assign V927683 = V690655 + 1. assign V690655 = V115045 - 1. assign V757460 = V618856. assign V343436 = V478141. assign V982291 = V741592. assign V485949 = V717238 + 1. assign V821756 = V689081 - 1. assign V551504 = V103303 + 1. assign V169904 = V472439 - 1. assign V770034 = V550959. assign V496645 = V726721. assign V948532 = V472439. assign V989116 = V576316. assign V471110 = V723873. assign V155688 = V961288 - 1. assign V618856 = V708444 - 1. assign V016757 = V479075. assign V508450 = V522821 + 1. assign V212326 = V144287 - 1. assign V868985 = V461421. assign V258727 = V732905. assign V550959 = V451896. assign V708444 = V732905 - 1. assign V223475 = V755653 - 1. assign V825989 = V936533 - 1. assign V460305 = V786460. assign V786460 = V690655. assign V174198 = V041189 - 1. assign V050040 = V343436 - 1. assign V415246 = V576316. assign V415209 = V311548 - 1. assign V498613 = V467338 + 1. assign V880363 = V599759 - 1. assign V522821 = V393118. assign V264195 = V291177. assign V437114 = V732261 - 1. assign V151067 = V027960 + 1. assign V696864 = V393903 - 1. assign V828764 = V103303 - 1. assign V301907 = V880167. assign V717238 = V708444. assign V957313 = V478141 + 1. assign V490746 = V467338 - 1. assign V232367 = V872211 - 1. assign V478141 = V821756 + 1. assign V425535 = V821756 - 1. assign V332601 = V880363 + 1. assign V182213 = V191986 - 1. assign V872211 = V732905 + 1. assign V726721 = V689081. assign V187823 = V717238. assign V298788 = V400676 + 1. assign V144287 = V393118 + 1. assign V941613 = V613107. assign V528694 = V696864. assign V533863 = V415246. assign V064371 = V451896. assign V985008 = V508450. assign V755653 = V416811 + 1. assign V451896 = V164145 + 1. assign V103303 = V768486. assign V393903 = V732905 + 1. assign V929127 = V872211 - 1. assign V501606 = V985008 + 1. assign V576316 = V490746. assign V291177 = V597011. assign V298858 = V485949 - 1. assign V191986 = V690655. assign V211883 = V400676 + 1. assign V472439 = V936533. assign V045782 = V522821 + 1. assign V416811 = V689081 - 1. assign V810093 = V880167 + 1. assign V723873 = V451896. assign V649772 = V872211 - 1. assign V847166 = V932908. assign V908908 = V717238. assign V855350 = V400676 - 1. assign V400676 = V645464. assign V461421 = V187823. assign V876164 = V211883 + 1. assign V613107 = V400676 - 1. assign V374575 = V961288 - 1. assign V174173 = V828764 - 1. assign V997142 = V146810. assign V467338 = V115045 - 1. assign V986571 = 8. assign V812260 = V649772 + 1. assign V583923 = V400676 - 1. assign V236296 = V957313 - 1. assign V886039 = V164145 + 1. assign V217747 = V537631 + 1. assign V276138 = V924758. assign V542206 = V451392 + 1. assign V961288 = V400676 + 1. assign V455052 = V741592 - 1. assign V645464 = V689081 + 1. assign V984057 = V812260 - 1. assign V312822 = V301907. assign V153038 = V049448 + 1. assign V085502 = V522821 - 1. assign V072662 = V393903 + 1. assign V829155 = V236296. assign V728779 = V898918 - 1. assign V898918 = V479075 + 1. assign V419605 = V437114. assign V730285 = V649772 - 1. assign V270819 = V528694 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V646262 = V501606. assign V152515 = V129959 + 1. assign V000303 = V957313 + 1. assign V085901 = V741592. assign V045736 = V961288. assign V924758 = V425535 - 1. assign V773516 = V132967 - 1. assign V597011 = V717238 + 1. assign V855972 = V599759 - 1. assign V520473 = V770034. assign V451392 = V394668 - 1. assign V027960 = V599759. assign V113415 = V618856 + 1. assign V132967 = V498613 + 1. assign V525812 = V755653 - 1. assign V164145 = V393118. assign V388840 = V732905. assign V049448 = V415246 - 1. assign V045274 = V936533 - 1. assign V537631 = V583923 + 1. assign V768486 = V583923 - 1. assign V428285 = V050040 + 1. assign V255909 = V989116 + 1. assign V370299 = V415246. assign V936533 = V597011 - 1. assign V602647 = V236296 - 1. assign V362086 = V652255 + 1. assign V242732 = V490746 - 1. assign V903405 = V728779. assign V129959 = V496645 - 1. assign V815588 = V732905 - 1. assign V961153 = V812260 - 1. assign V610082 = V498613 + 1. assign V732905 = V400676 - 1. assign V683649 = V876164. assign V394668 = V508450 + 1. assign V599759 = V490746. assign V732261 = V552752 + 1. assign V942736 = V986571 + 1. assign V238836 = V652255. assign V336731 = V940083 + 1. assign V932908 = V498613 + 1. assign V652255 = V343436 - 1. assign V121416 = V855350 + 1. assign V546407 = V115045. assign V997572 = V000303. assign V192462 = V717238 - 1. assign V196665 = V730285 - 1. assign V653311 = V113415 - 1. assign V741592 = V880167 - 1. assign V041189 = V416811 + 1. assign V013375 = V312822. assign V246343 = V924758 - 1. assign V115045 = V613107 + 1. assign V880167 = V613107 + 1. assign V146810 = V298858. assign V458330 = V264195 + 1. assign V730201 = V155688. assign V311548 = V821756 - 1. assign V393118 = V689081 - 1. assign V940083 = V461421 + 1. assign V479075 = V164145 + 1. assign V552752 = V924758 - 1. assign V704942 = V941613 + 1. assign V927683 = V690655 + 1. assign V690655 = V115045 - 1. assign V757460 = V618856. assign V343436 = V478141. assign V982291 = V741592. assign V485949 = V717238 + 1. assign V821756 = V689081 - 1. assign V551504 = V103303 + 1. assign V169904 = V472439 - 1. assign V770034 = V550959. assign V496645 = V726721. assign V948532 = V472439. assign V989116 = V576316. assign V471110 = V723873. assign V155688 = V961288 - 1. assign V618856 = V708444 - 1. assign V016757 = V479075. assign V508450 = V522821 + 1. assign V212326 = V144287 - 1. assign V868985 = V461421. assign V258727 = V732905. assign V550959 = V451896. assign V708444 = V732905 - 1. assign V223475 = V755653 - 1. assign V825989 = V936533 - 1. assign V460305 = V786460. assign V786460 = V690655. assign V174198 = V041189 - 1. assign V050040 = V343436 - 1. assign V415246 = V576316. assign V415209 = V311548 - 1. assign V498613 = V467338 + 1. assign V880363 = V599759 - 1. assign V522821 = V393118. assign V264195 = V291177. assign V437114 = V732261 - 1. assign V151067 = V027960 + 1. assign V696864 = V393903 - 1. assign V828764 = V103303 - 1. assign V301907 = V880167. assign V717238 = V708444. assign V957313 = V478141 + 1. assign V490746 = V467338 - 1. assign V232367 = V872211 - 1. assign V478141 = V821756 + 1. assign V425535 = V821756 - 1. assign V332601 = V880363 + 1. assign V182213 = V191986 - 1. assign V872211 = V732905 + 1. assign V726721 = V689081. assign V187823 = V717238. assign V298788 = V400676 + 1. assign V144287 = V393118 + 1. assign V941613 = V613107. assign V528694 = V696864. assign V533863 = V415246. assign V064371 = V451896. assign V985008 = V508450. assign V755653 = V416811 + 1. assign V451896 = V164145 + 1. assign V103303 = V768486. assign V393903 = V732905 + 1. assign V929127 = V872211 - 1. assign V501606 = V985008 + 1. assign V576316 = V490746. assign V291177 = V597011. assign V298858 = V485949 - 1. assign V191986 = V690655. assign V211883 = V400676 + 1. assign V472439 = V936533. assign V045782 = V522821 + 1. assign V416811 = V689081 - 1. assign V810093 = V880167 + 1. assign V723873 = V451896. assign V649772 = V872211 - 1. assign V847166 = V932908. assign V908908 = V717238. assign V855350 = V400676 - 1. assign V400676 = V645464. assign V461421 = V187823. assign V876164 = V211883 + 1. assign V613107 = V400676 - 1. assign V374575 = V961288 - 1. assign V174173 = V828764 - 1. assign V997142 = V146810. assign V467338 = V115045 - 1. assign V986571 = 8. assign V812260 = V649772 + 1. assign V583923 = V400676 - 1. assign V236296 = V957313 - 1. assign V886039 = V164145 + 1. assign V217747 = V537631 + 1. assign V276138 = V924758. assign V542206 = V451392 + 1. assign V961288 = V400676 + 1. assign V455052 = V741592 - 1. assign V645464 = V689081 + 1. assign V984057 = V812260 - 1. assign V312822 = V301907. assign V153038 = V049448 + 1. assign V085502 = V522821 - 1. assign V072662 = V393903 + 1. assign V829155 = V236296. assign V728779 = V898918 - 1. assign V898918 = V479075 + 1. assign V419605 = V437114. assign V730285 = V649772 - 1. assign V270819 = V528694 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV986571 = 8;\n\nFrom these direct assignment(s), we have: \nV942736 = V986571 + 1 = 8 + 1 =9;\nNo other variables can be derived from V942736;\nNo other variables can be derived from V986571;\n\nNow we have done all the calculations. Derived variables are:\nV986571 = 8;\nV942736 = 9;\n\nNow we have finished this problem. ANSWER:\nV942736\n", "role": "assistant" } ]

[ "V484354", "V700842" ]

[ { "content": "<context>\nassign V434392 = V588860 + 1. assign V941188 = V098245. assign V154142 = V755126 - 1. assign V175199 = V860976 - 1. assign V025857 = V588860 - 1. assign V230856 = V565254 - 1. assign V447994 = V628993 - 1. assign V670844 = V952262 + 1. assign V740874 = V213964 - 1. assign V488857 = V039219. assign V774252 = V276597. assign V766344 = V253841 - 1. assign V253841 = V944438 + 1. assign V748138 = V007128 + 1. assign V366181 = V051690. assign V262962 = V665002. assign V367913 = V351716 - 1. assign V185183 = V070416 - 1. assign V588860 = V159618. assign V655506 = V615949. assign V149622 = V415707 - 1. assign V084849 = V159618 + 1. assign V332948 = V533832. assign V947125 = V152757 - 1. assign V205614 = V351716. assign V423339 = V118318 + 1. assign V320912 = V051690 + 1. assign V061757 = V025857 - 1. assign V936192 = V149622. assign V070416 = V122559 + 1. assign V665002 = V480469 - 1. assign V009884 = V106828. assign V472134 = V218682 + 1. assign V739320 = V366181 - 1. assign V040110 = V852195 - 1. assign V969896 = V415707 - 1. assign V284873 = V972346 + 1. assign V409460 = V633164. assign V172862 = V118318 + 1. assign V699825 = V415707 + 1. assign V615949 = V814104. assign V416305 = V482264 + 1. assign V766915 = V565254 - 1. assign V910288 = V535139. assign V926691 = V999389 - 1. assign V122559 = V393550 - 1. assign V860976 = V159618 + 1. assign V016710 = V478978 - 1. assign V381412 = V253841 + 1. assign V406476 = V755126. assign V874556 = V478978 - 1. assign V757764 = V860976 - 1. assign V393550 = V415707. assign V415707 = V860539 + 1. assign V087482 = V480469. assign V455668 = V415707. assign V140028 = V201654 + 1. assign V745244 = V047292 + 1. assign V537726 = V478978. assign V162336 = V642109 - 1. assign V505721 = V276597 - 1. assign V238909 = V722421 - 1. assign V335840 = V087482. assign V201654 = V505721 - 1. assign V952262 = V098245 + 1. assign V709327 = V145749 + 1. assign V213065 = V172862 + 1. assign V152757 = V864577 + 1. assign V314668 = V588860. assign V273267 = V628993 - 1. assign V282838 = V590707. assign V399348 = V253841. assign V860539 = V941731 + 1. assign V051690 = V860976 - 1. assign V722421 = V969896 + 1. assign V276597 = V874556 + 1. assign V580746 = V213065. assign V100692 = V122559. assign V598703 = V118318. assign V091267 = V814104 + 1. assign V007128 = V021995 - 1. assign V555021 = V320912 - 1. assign V533832 = V766344 + 1. assign V734780 = V628993. assign V162516 = V766344 + 1. assign V462090 = V381412 - 1. assign V035650 = V941188. assign V480469 = V091267. assign V351716 = V051690 - 1. assign V484354 = 10. assign V926838 = V665002 + 1. assign V591813 = V070416 - 1. assign V633164 = V366181 - 1. assign V864577 = V047292. assign V678620 = V952262 + 1. assign V377137 = V118318. assign V478978 = V852195 - 1. assign V343366 = V098245 - 1. assign V159618 = V941731. assign V674703 = V531736. assign V894597 = V101946 + 1. assign V431725 = V678620 - 1. assign V564370 = V969896. assign V977746 = V608734. assign V187271 = V047292 - 1. assign V375742 = V633164. assign V021995 = V665002. assign V608734 = V351716 - 1. assign V039219 = V531736 + 1. assign V467569 = V351716 - 1. assign V828064 = V040110 + 1. assign V785277 = V320912 - 1. assign V605967 = V674703 + 1. assign V944438 = V266800 + 1. assign V257839 = V118318 - 1. assign V161034 = V257839. assign V710341 = V568325. assign V213964 = V969896 - 1. assign V870181 = V266800 + 1. assign V531736 = V941731 - 1. assign V714767 = V282838 - 1. assign V991551 = V100692 + 1. assign V535139 = V366181. assign V814104 = V159618. assign V737794 = V447994. assign V568325 = V941188 + 1. assign V266800 = V860976 + 1. assign V972346 = V478978 - 1. assign V101946 = V969896. assign V153020 = V642109 + 1. assign V747600 = V633164 + 1. assign V298810 = V276597. assign V642109 = V860976 + 1. assign V578799 = V025857 - 1. assign V482264 = V298725 - 1. assign V850084 = V047292. assign V007036 = V699825 + 1. assign V878880 = V814104 + 1. assign V590707 = V040110 - 1. assign V592441 = V944438 + 1. assign V145749 = V480469. assign V628993 = V852195 + 1. assign V218682 = V722421 - 1. assign V409324 = V628993 + 1. assign V670516 = V462090. assign V755126 = V159618 - 1. assign V163981 = V878880 - 1. assign V135880 = V087482 + 1. assign V298725 = V205614 + 1. assign V785468 = V187271 - 1. assign V262845 = V941188. assign V852195 = V159618. assign V098245 = V478978 + 1. assign V702057 = V455668 + 1. assign V999389 = V201654 - 1. assign V469265 = V266800 + 1. assign V680732 = V201654 + 1. assign V806126 = V106828. assign V565254 = V722421 - 1. assign V251192 = V655506 - 1. assign V047292 = V118318 - 1. assign V997245 = V021995 - 1. assign V920764 = V555021 + 1. assign V658617 = V936192 - 1. assign V226106 = V680732 + 1. assign V700842 = V484354. assign V336530 = V864577 + 1. assign V118318 = V051690 - 1. assign V106828 = V874556 - 1. assign V641410 = V860976. assign V576513 = V332948 + 1. assign V557470 = V680732 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V434392 = V588860 + 1. assign V941188 = V098245. assign V154142 = V755126 - 1. assign V175199 = V860976 - 1. assign V025857 = V588860 - 1. assign V230856 = V565254 - 1. assign V447994 = V628993 - 1. assign V670844 = V952262 + 1. assign V740874 = V213964 - 1. assign V488857 = V039219. assign V774252 = V276597. assign V766344 = V253841 - 1. assign V253841 = V944438 + 1. assign V748138 = V007128 + 1. assign V366181 = V051690. assign V262962 = V665002. assign V367913 = V351716 - 1. assign V185183 = V070416 - 1. assign V588860 = V159618. assign V655506 = V615949. assign V149622 = V415707 - 1. assign V084849 = V159618 + 1. assign V332948 = V533832. assign V947125 = V152757 - 1. assign V205614 = V351716. assign V423339 = V118318 + 1. assign V320912 = V051690 + 1. assign V061757 = V025857 - 1. assign V936192 = V149622. assign V070416 = V122559 + 1. assign V665002 = V480469 - 1. assign V009884 = V106828. assign V472134 = V218682 + 1. assign V739320 = V366181 - 1. assign V040110 = V852195 - 1. assign V969896 = V415707 - 1. assign V284873 = V972346 + 1. assign V409460 = V633164. assign V172862 = V118318 + 1. assign V699825 = V415707 + 1. assign V615949 = V814104. assign V416305 = V482264 + 1. assign V766915 = V565254 - 1. assign V910288 = V535139. assign V926691 = V999389 - 1. assign V122559 = V393550 - 1. assign V860976 = V159618 + 1. assign V016710 = V478978 - 1. assign V381412 = V253841 + 1. assign V406476 = V755126. assign V874556 = V478978 - 1. assign V757764 = V860976 - 1. assign V393550 = V415707. assign V415707 = V860539 + 1. assign V087482 = V480469. assign V455668 = V415707. assign V140028 = V201654 + 1. assign V745244 = V047292 + 1. assign V537726 = V478978. assign V162336 = V642109 - 1. assign V505721 = V276597 - 1. assign V238909 = V722421 - 1. assign V335840 = V087482. assign V201654 = V505721 - 1. assign V952262 = V098245 + 1. assign V709327 = V145749 + 1. assign V213065 = V172862 + 1. assign V152757 = V864577 + 1. assign V314668 = V588860. assign V273267 = V628993 - 1. assign V282838 = V590707. assign V399348 = V253841. assign V860539 = V941731 + 1. assign V051690 = V860976 - 1. assign V722421 = V969896 + 1. assign V276597 = V874556 + 1. assign V580746 = V213065. assign V100692 = V122559. assign V598703 = V118318. assign V091267 = V814104 + 1. assign V007128 = V021995 - 1. assign V555021 = V320912 - 1. assign V533832 = V766344 + 1. assign V734780 = V628993. assign V162516 = V766344 + 1. assign V462090 = V381412 - 1. assign V035650 = V941188. assign V480469 = V091267. assign V351716 = V051690 - 1. assign V484354 = 10. assign V926838 = V665002 + 1. assign V591813 = V070416 - 1. assign V633164 = V366181 - 1. assign V864577 = V047292. assign V678620 = V952262 + 1. assign V377137 = V118318. assign V478978 = V852195 - 1. assign V343366 = V098245 - 1. assign V159618 = V941731. assign V674703 = V531736. assign V894597 = V101946 + 1. assign V431725 = V678620 - 1. assign V564370 = V969896. assign V977746 = V608734. assign V187271 = V047292 - 1. assign V375742 = V633164. assign V021995 = V665002. assign V608734 = V351716 - 1. assign V039219 = V531736 + 1. assign V467569 = V351716 - 1. assign V828064 = V040110 + 1. assign V785277 = V320912 - 1. assign V605967 = V674703 + 1. assign V944438 = V266800 + 1. assign V257839 = V118318 - 1. assign V161034 = V257839. assign V710341 = V568325. assign V213964 = V969896 - 1. assign V870181 = V266800 + 1. assign V531736 = V941731 - 1. assign V714767 = V282838 - 1. assign V991551 = V100692 + 1. assign V535139 = V366181. assign V814104 = V159618. assign V737794 = V447994. assign V568325 = V941188 + 1. assign V266800 = V860976 + 1. assign V972346 = V478978 - 1. assign V101946 = V969896. assign V153020 = V642109 + 1. assign V747600 = V633164 + 1. assign V298810 = V276597. assign V642109 = V860976 + 1. assign V578799 = V025857 - 1. assign V482264 = V298725 - 1. assign V850084 = V047292. assign V007036 = V699825 + 1. assign V878880 = V814104 + 1. assign V590707 = V040110 - 1. assign V592441 = V944438 + 1. assign V145749 = V480469. assign V628993 = V852195 + 1. assign V218682 = V722421 - 1. assign V409324 = V628993 + 1. assign V670516 = V462090. assign V755126 = V159618 - 1. assign V163981 = V878880 - 1. assign V135880 = V087482 + 1. assign V298725 = V205614 + 1. assign V785468 = V187271 - 1. assign V262845 = V941188. assign V852195 = V159618. assign V098245 = V478978 + 1. assign V702057 = V455668 + 1. assign V999389 = V201654 - 1. assign V469265 = V266800 + 1. assign V680732 = V201654 + 1. assign V806126 = V106828. assign V565254 = V722421 - 1. assign V251192 = V655506 - 1. assign V047292 = V118318 - 1. assign V997245 = V021995 - 1. assign V920764 = V555021 + 1. assign V658617 = V936192 - 1. assign V226106 = V680732 + 1. assign V700842 = V484354. assign V336530 = V864577 + 1. assign V118318 = V051690 - 1. assign V106828 = V874556 - 1. assign V641410 = V860976. assign V576513 = V332948 + 1. assign V557470 = V680732 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV484354 = 10;\n\nFrom these direct assignment(s), we have: \nV700842 = V484354 = 10;\nNo other variables can be derived from V700842;\nNo other variables can be derived from V484354;\n\nNow we have done all the calculations. Derived variables are:\nV484354 = 10;\nV700842 = 10;\n\nNow we have finished this problem. ANSWER:\nV484354, V700842\n", "role": "assistant" } ]