Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k

like 0

[ "V443855" ]

[ { "content": "<context>\nassign V734039 = V991149 + 1. assign V099330 = V132122 + 1. assign V640934 = V347490. assign V127093 = V414626 + 1. assign V530789 = V395273 + 1. assign V996309 = V651821. assign V714454 = V506100. assign V668411 = V429059 - 1. assign V121893 = V256139. assign V186407 = V897178 + 1. assign V072995 = V229814 - 1. assign V633626 = V071656 + 1. assign V840084 = V575555 - 1. assign V794476 = V931803 - 1. assign V347578 = V186407. assign V400898 = V810773 + 1. assign V946402 = V575555 - 1. assign V151147 = V120006. assign V203211 = V198607 - 1. assign V426353 = V031748. assign V711984 = V203211. assign V136356 = V530789 + 1. assign V302791 = V838270. assign V152531 = V683775. assign V739526 = V459063. assign V901063 = V501291 - 1. assign V317921 = V031748 + 1. assign V875144 = V633626 + 1. assign V767952 = V656891 - 1. assign V897178 = V601315 - 1. assign V010213 = V203211 + 1. assign V766250 = V810019 + 1. assign V501291 = V615631. assign V325488 = V701084 + 1. assign V525269 = V509056 + 1. assign V601315 = V341553. assign V945106 = V031748 + 1. assign V076430 = V317921. assign V314854 = V132122. assign V012619 = V071656. assign V395273 = V198607. assign V764879 = V120006. assign V656891 = V870851 - 1. assign V029348 = V897178. assign V229814 = V615631 + 1. assign V529591 = V804037 + 1. assign V459063 = V429059. assign V273610 = V739119. assign V651821 = V840084 + 1. assign V084130 = V808445 + 1. assign V509056 = V501291 - 1. assign V883939 = V443076 - 1. assign V358573 = V808816. assign V443076 = V395273 + 1. assign V456746 = V072995 + 1. assign V618600 = V655723 - 1. assign V016807 = V099330 + 1. assign V453335 = V010213 + 1. assign V153732 = V136356 + 1. assign V673351 = V193857. assign V808816 = V374893 - 1. assign V615631 = V374893 - 1. assign V159014 = V030292. assign V431462 = V626937 - 1. assign V443855 = V937556 - 1. assign V736462 = V325488 - 1. assign V810019 = V120006 - 1. assign V675267 = V400898 - 1. assign V546543 = V429059 - 1. assign V683775 = V501291 + 1. assign V810773 = V341553 - 1. assign V575555 = V683775 + 1. assign V589181 = V229814. assign V820419 = V651821 + 1. assign V338701 = V509056. assign V389008 = V808445 - 1. assign V414626 = V615631. assign V808445 = V509056 - 1. assign V655723 = V401178. assign V429059 = V203211 + 1. assign V069982 = V857833. assign V806841 = V810019 + 1. assign V724417 = V857833. assign V838270 = V401178 - 1. assign V023275 = V683775 + 1. assign V674238 = V808445 + 1. assign V879613 = V810019 + 1. assign V957631 = V229814 + 1. assign V790057 = V451761 - 1. assign V256139 = V794476 + 1. assign V858081 = V203211 - 1. assign V911863 = V991149. assign V282773 = V400898 + 1. assign V031748 = V897178. assign V739119 = V734039 - 1. assign V321032 = V530789 - 1. assign V638884 = V840084 + 1. assign V825482 = V820494 + 1. assign V347490 = V683775. assign V931803 = V193857. assign V838648 = V575555 + 1. assign V304012 = V849292. assign V865683 = V010213 + 1. assign V240224 = V838270 + 1. assign V653923 = V374893 + 1. assign V991149 = V072995. assign V120006 = V203211 - 1. assign V286126 = V136356 - 1. assign V654079 = V400898. assign V506100 = V575555. assign V439007 = V127093 + 1. assign V307047 = V071656 - 1. assign V449914 = V229814 + 1. assign V436243 = V714454 + 1. assign V501240 = V808816 + 1. assign V401178 = V626937 + 1. assign V385822 = V272237 - 1. assign V341553 = V615631 - 1. assign V000642 = V615631 + 1. assign V283515 = V431462. assign V682398 = V808445 - 1. assign V022436 = V030292 - 1. assign V723838 = V633626 - 1. assign V804037 = V203211 + 1. assign V471557 = V528355. assign V770718 = V901063 - 1. assign V197461 = V341553. assign V272237 = V575555. assign V701084 = V931803 + 1. assign V198607 = V501291 + 1. assign V515398 = V449914 + 1. assign V614545 = V304012. assign V849292 = V120006 + 1. assign V857833 = V961663 + 1. assign V425357 = V395273 + 1. assign V809449 = V395273 - 1. assign V643058 = V029348 + 1. assign V866341 = V426353. assign V242406 = V307047 + 1. assign V052387 = V307047 + 1. assign V674514 = V443076 + 1. assign V445642 = V325488 + 1. assign V066169 = V931803 - 1. assign V132122 = V023275. assign V626937 = V640934 - 1. assign V094444 = V651821 + 1. assign V320200 = V528355 - 1. assign V398035 = V012619 + 1. assign V641030 = V696207. assign V193857 = V000642. assign V937556 = 0. assign V696207 = V509056. assign V030292 = V673351. assign V066129 = V307047 - 1. assign V451761 = V198607. assign V754888 = V711984 - 1. assign V179744 = V674514 - 1. assign V230818 = V256139 - 1. assign V559970 = V615631 + 1. assign V670146 = V808445. assign V310000 = V633626 - 1. assign V731120 = V849292 - 1. assign V746294 = V029348. assign V701163 = V682398 - 1. assign V071656 = V810773 + 1. assign V961663 = V501240. assign V870851 = V283515 - 1. assign V820494 = V575555 - 1. assign V177896 = V136356 + 1. assign V631300 = V820494 + 1. assign V982057 = V640934 + 1. assign V528355 = V120006 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V734039 = V991149 + 1. assign V099330 = V132122 + 1. assign V640934 = V347490. assign V127093 = V414626 + 1. assign V530789 = V395273 + 1. assign V996309 = V651821. assign V714454 = V506100. assign V668411 = V429059 - 1. assign V121893 = V256139. assign V186407 = V897178 + 1. assign V072995 = V229814 - 1. assign V633626 = V071656 + 1. assign V840084 = V575555 - 1. assign V794476 = V931803 - 1. assign V347578 = V186407. assign V400898 = V810773 + 1. assign V946402 = V575555 - 1. assign V151147 = V120006. assign V203211 = V198607 - 1. assign V426353 = V031748. assign V711984 = V203211. assign V136356 = V530789 + 1. assign V302791 = V838270. assign V152531 = V683775. assign V739526 = V459063. assign V901063 = V501291 - 1. assign V317921 = V031748 + 1. assign V875144 = V633626 + 1. assign V767952 = V656891 - 1. assign V897178 = V601315 - 1. assign V010213 = V203211 + 1. assign V766250 = V810019 + 1. assign V501291 = V615631. assign V325488 = V701084 + 1. assign V525269 = V509056 + 1. assign V601315 = V341553. assign V945106 = V031748 + 1. assign V076430 = V317921. assign V314854 = V132122. assign V012619 = V071656. assign V395273 = V198607. assign V764879 = V120006. assign V656891 = V870851 - 1. assign V029348 = V897178. assign V229814 = V615631 + 1. assign V529591 = V804037 + 1. assign V459063 = V429059. assign V273610 = V739119. assign V651821 = V840084 + 1. assign V084130 = V808445 + 1. assign V509056 = V501291 - 1. assign V883939 = V443076 - 1. assign V358573 = V808816. assign V443076 = V395273 + 1. assign V456746 = V072995 + 1. assign V618600 = V655723 - 1. assign V016807 = V099330 + 1. assign V453335 = V010213 + 1. assign V153732 = V136356 + 1. assign V673351 = V193857. assign V808816 = V374893 - 1. assign V615631 = V374893 - 1. assign V159014 = V030292. assign V431462 = V626937 - 1. assign V443855 = V937556 - 1. assign V736462 = V325488 - 1. assign V810019 = V120006 - 1. assign V675267 = V400898 - 1. assign V546543 = V429059 - 1. assign V683775 = V501291 + 1. assign V810773 = V341553 - 1. assign V575555 = V683775 + 1. assign V589181 = V229814. assign V820419 = V651821 + 1. assign V338701 = V509056. assign V389008 = V808445 - 1. assign V414626 = V615631. assign V808445 = V509056 - 1. assign V655723 = V401178. assign V429059 = V203211 + 1. assign V069982 = V857833. assign V806841 = V810019 + 1. assign V724417 = V857833. assign V838270 = V401178 - 1. assign V023275 = V683775 + 1. assign V674238 = V808445 + 1. assign V879613 = V810019 + 1. assign V957631 = V229814 + 1. assign V790057 = V451761 - 1. assign V256139 = V794476 + 1. assign V858081 = V203211 - 1. assign V911863 = V991149. assign V282773 = V400898 + 1. assign V031748 = V897178. assign V739119 = V734039 - 1. assign V321032 = V530789 - 1. assign V638884 = V840084 + 1. assign V825482 = V820494 + 1. assign V347490 = V683775. assign V931803 = V193857. assign V838648 = V575555 + 1. assign V304012 = V849292. assign V865683 = V010213 + 1. assign V240224 = V838270 + 1. assign V653923 = V374893 + 1. assign V991149 = V072995. assign V120006 = V203211 - 1. assign V286126 = V136356 - 1. assign V654079 = V400898. assign V506100 = V575555. assign V439007 = V127093 + 1. assign V307047 = V071656 - 1. assign V449914 = V229814 + 1. assign V436243 = V714454 + 1. assign V501240 = V808816 + 1. assign V401178 = V626937 + 1. assign V385822 = V272237 - 1. assign V341553 = V615631 - 1. assign V000642 = V615631 + 1. assign V283515 = V431462. assign V682398 = V808445 - 1. assign V022436 = V030292 - 1. assign V723838 = V633626 - 1. assign V804037 = V203211 + 1. assign V471557 = V528355. assign V770718 = V901063 - 1. assign V197461 = V341553. assign V272237 = V575555. assign V701084 = V931803 + 1. assign V198607 = V501291 + 1. assign V515398 = V449914 + 1. assign V614545 = V304012. assign V849292 = V120006 + 1. assign V857833 = V961663 + 1. assign V425357 = V395273 + 1. assign V809449 = V395273 - 1. assign V643058 = V029348 + 1. assign V866341 = V426353. assign V242406 = V307047 + 1. assign V052387 = V307047 + 1. assign V674514 = V443076 + 1. assign V445642 = V325488 + 1. assign V066169 = V931803 - 1. assign V132122 = V023275. assign V626937 = V640934 - 1. assign V094444 = V651821 + 1. assign V320200 = V528355 - 1. assign V398035 = V012619 + 1. assign V641030 = V696207. assign V193857 = V000642. assign V937556 = 0. assign V696207 = V509056. assign V030292 = V673351. assign V066129 = V307047 - 1. assign V451761 = V198607. assign V754888 = V711984 - 1. assign V179744 = V674514 - 1. assign V230818 = V256139 - 1. assign V559970 = V615631 + 1. assign V670146 = V808445. assign V310000 = V633626 - 1. assign V731120 = V849292 - 1. assign V746294 = V029348. assign V701163 = V682398 - 1. assign V071656 = V810773 + 1. assign V961663 = V501240. assign V870851 = V283515 - 1. assign V820494 = V575555 - 1. assign V177896 = V136356 + 1. assign V631300 = V820494 + 1. assign V982057 = V640934 + 1. assign V528355 = V120006 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV937556 = 0;\n\nFrom these direct assignment(s), we have: \nV443855 = V937556 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V443855;\nNo other variables can be derived from V937556;\n\nNow we have done all the calculations. Derived variables are:\nV937556 = 0;\nV443855 = -1;\n\nNow we have finished this problem. ANSWER:\nV443855\n", "role": "assistant" } ]

[ "V169868" ]

[ { "content": "<context>\nassign V088069 = V562352. assign V607896 = V422134 - 1. assign V437760 = V864446 + 1. assign V005419 = V088069 + 1. assign V126142 = V855634. assign V975693 = V440786 + 1. assign V230752 = V682798. assign V425965 = V412364. assign V613768 = V477762 + 1. assign V062306 = V126142. assign V169868 = V945429 - 1. assign V905082 = V059521 - 1. assign V783840 = V840854. assign V685506 = V422134. assign V822531 = V990450 + 1. assign V232172 = V011101 - 1. assign V401106 = V438508. assign V164586 = V752070 - 1. assign V340829 = V412364 + 1. assign V450601 = V503949 + 1. assign V171610 = V836522 - 1. assign V682589 = V064771 + 1. assign V040714 = V689513 + 1. assign V170019 = V689513 + 1. assign V698512 = V906425 - 1. assign V309642 = V244206 - 1. assign V216576 = V855634 + 1. assign V925394 = V176668. assign V673352 = V062306 - 1. assign V831979 = V457596 - 1. assign V244206 = V168737. assign V994247 = V059521 + 1. assign V108643 = V064771 + 1. assign V682798 = V631973. assign V059521 = V196607. assign V299526 = V126142 - 1. assign V632933 = V634678 - 1. assign V634678 = V654183 + 1. assign V391142 = V654183. assign V106276 = V449644. assign V967696 = V059521 - 1. assign V601754 = V619028 + 1. assign V386019 = V855634 + 1. assign V840854 = V449644 + 1. assign V408210 = V444409. assign V932434 = V011101 - 1. assign V368550 = V769381 - 1. assign V689513 = V185923 - 1. assign V007610 = V781513. assign V917437 = V230752 + 1. assign V847789 = V082967 + 1. assign V784572 = V836522 - 1. assign V905985 = V425965 - 1. assign V503949 = V309642 - 1. assign V619028 = V059521 - 1. assign V565171 = V802262 + 1. assign V168737 = V196607 - 1. assign V412364 = V792290 + 1. assign V781513 = V244206 + 1. assign V019210 = V556248 + 1. assign V493212 = V792290 - 1. assign V135544 = V845716. assign V866451 = V286786. assign V633281 = V286786 + 1. assign V675925 = V412364 + 1. assign V449644 = V654183 - 1. assign V680606 = V499415. assign V556248 = V007610. assign V953084 = V425965 - 1. assign V681602 = V631973 + 1. assign V060802 = V917437. assign V176668 = V060802 - 1. assign V631973 = V059521 + 1. assign V654183 = V196607 + 1. assign V694552 = V164586 + 1. assign V384249 = V196607. assign V101534 = V855634 + 1. assign V422134 = V680606 + 1. assign V663192 = V477762. assign V920925 = V176668. assign V037837 = V106288. assign V874051 = V634678 + 1. assign V623891 = V064771 - 1. assign V908150 = V126142. assign V085471 = V449644 - 1. assign V934261 = V975693 + 1. assign V106379 = V368550. assign V417178 = V225262. assign V491478 = V190338. assign V792290 = V654183 + 1. assign V975519 = V934261 + 1. assign V562352 = V168737 + 1. assign V100876 = V654183 + 1. assign V225262 = V682798 + 1. assign V373805 = V499415. assign V272883 = V752070 + 1. assign V499650 = V619028. assign V106288 = V663192. assign V011101 = V190338. assign V440786 = V675925. assign V375427 = V171610. assign V116201 = V491478. assign V654792 = V089772 + 1. assign V818696 = V135544 + 1. assign V281696 = V493212 + 1. assign V864446 = V631973 + 1. assign V945429 = 7. assign V769381 = V562352. assign V874126 = V855634. assign V906425 = V932434. assign V177268 = V681602 + 1. assign V697000 = V360205. assign V343124 = V196607 - 1. assign V118017 = V347829 - 1. assign V486832 = V040714 - 1. assign V423027 = V007610 - 1. assign V815509 = V491478 - 1. assign V327408 = V412364 + 1. assign V898098 = V327408. assign V910798 = V874126 - 1. assign V033310 = V993900 + 1. assign V405385 = V412364. assign V836522 = V967696 + 1. assign V444409 = V491478 - 1. assign V347829 = V064771 + 1. assign V752070 = V059521. assign V862359 = V697000. assign V031692 = V135544 + 1. assign V993900 = V366160. assign V337967 = V847789. assign V064771 = V281696 - 1. assign V082967 = V190338 - 1. assign V366160 = V082967 - 1. assign V705635 = V602913 - 1. assign V190338 = V196607 + 1. assign V484453 = V602913. assign V553927 = V953084. assign V185923 = V198888 - 1. assign V457596 = V675925. assign V425022 = V792290 - 1. assign V069221 = V493212 - 1. assign V703756 = V244206 - 1. assign V198888 = V654183 - 1. assign V813136 = V368550 + 1. assign V349651 = V230752 - 1. assign V920970 = V491478 - 1. assign V273981 = V792290 + 1. assign V904894 = V602913 + 1. assign V518968 = V682798 + 1. assign V437584 = V089772 - 1. assign V286786 = V384249 + 1. assign V211821 = V904894 + 1. assign V800901 = V631973. assign V855634 = V654183 + 1. assign V926724 = V116201 - 1. assign V360205 = V619028 - 1. assign V622255 = V553927 - 1. assign V845716 = V062306 - 1. assign V564197 = V384249 + 1. assign V955084 = V847789 - 1. assign V602913 = V654183 + 1. assign V802262 = V781513. assign V438508 = V631973 + 1. assign V072876 = V847789 + 1. assign V032308 = V135544. assign V883430 = V349651. assign V477762 = V190338 - 1. assign V089772 = V244206 + 1. assign V176718 = V934261 - 1. assign V499415 = V920970 + 1. assign V619615 = V011101 + 1. assign V990450 = V975693.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V088069 = V562352. assign V607896 = V422134 - 1. assign V437760 = V864446 + 1. assign V005419 = V088069 + 1. assign V126142 = V855634. assign V975693 = V440786 + 1. assign V230752 = V682798. assign V425965 = V412364. assign V613768 = V477762 + 1. assign V062306 = V126142. assign V169868 = V945429 - 1. assign V905082 = V059521 - 1. assign V783840 = V840854. assign V685506 = V422134. assign V822531 = V990450 + 1. assign V232172 = V011101 - 1. assign V401106 = V438508. assign V164586 = V752070 - 1. assign V340829 = V412364 + 1. assign V450601 = V503949 + 1. assign V171610 = V836522 - 1. assign V682589 = V064771 + 1. assign V040714 = V689513 + 1. assign V170019 = V689513 + 1. assign V698512 = V906425 - 1. assign V309642 = V244206 - 1. assign V216576 = V855634 + 1. assign V925394 = V176668. assign V673352 = V062306 - 1. assign V831979 = V457596 - 1. assign V244206 = V168737. assign V994247 = V059521 + 1. assign V108643 = V064771 + 1. assign V682798 = V631973. assign V059521 = V196607. assign V299526 = V126142 - 1. assign V632933 = V634678 - 1. assign V634678 = V654183 + 1. assign V391142 = V654183. assign V106276 = V449644. assign V967696 = V059521 - 1. assign V601754 = V619028 + 1. assign V386019 = V855634 + 1. assign V840854 = V449644 + 1. assign V408210 = V444409. assign V932434 = V011101 - 1. assign V368550 = V769381 - 1. assign V689513 = V185923 - 1. assign V007610 = V781513. assign V917437 = V230752 + 1. assign V847789 = V082967 + 1. assign V784572 = V836522 - 1. assign V905985 = V425965 - 1. assign V503949 = V309642 - 1. assign V619028 = V059521 - 1. assign V565171 = V802262 + 1. assign V168737 = V196607 - 1. assign V412364 = V792290 + 1. assign V781513 = V244206 + 1. assign V019210 = V556248 + 1. assign V493212 = V792290 - 1. assign V135544 = V845716. assign V866451 = V286786. assign V633281 = V286786 + 1. assign V675925 = V412364 + 1. assign V449644 = V654183 - 1. assign V680606 = V499415. assign V556248 = V007610. assign V953084 = V425965 - 1. assign V681602 = V631973 + 1. assign V060802 = V917437. assign V176668 = V060802 - 1. assign V631973 = V059521 + 1. assign V654183 = V196607 + 1. assign V694552 = V164586 + 1. assign V384249 = V196607. assign V101534 = V855634 + 1. assign V422134 = V680606 + 1. assign V663192 = V477762. assign V920925 = V176668. assign V037837 = V106288. assign V874051 = V634678 + 1. assign V623891 = V064771 - 1. assign V908150 = V126142. assign V085471 = V449644 - 1. assign V934261 = V975693 + 1. assign V106379 = V368550. assign V417178 = V225262. assign V491478 = V190338. assign V792290 = V654183 + 1. assign V975519 = V934261 + 1. assign V562352 = V168737 + 1. assign V100876 = V654183 + 1. assign V225262 = V682798 + 1. assign V373805 = V499415. assign V272883 = V752070 + 1. assign V499650 = V619028. assign V106288 = V663192. assign V011101 = V190338. assign V440786 = V675925. assign V375427 = V171610. assign V116201 = V491478. assign V654792 = V089772 + 1. assign V818696 = V135544 + 1. assign V281696 = V493212 + 1. assign V864446 = V631973 + 1. assign V945429 = 7. assign V769381 = V562352. assign V874126 = V855634. assign V906425 = V932434. assign V177268 = V681602 + 1. assign V697000 = V360205. assign V343124 = V196607 - 1. assign V118017 = V347829 - 1. assign V486832 = V040714 - 1. assign V423027 = V007610 - 1. assign V815509 = V491478 - 1. assign V327408 = V412364 + 1. assign V898098 = V327408. assign V910798 = V874126 - 1. assign V033310 = V993900 + 1. assign V405385 = V412364. assign V836522 = V967696 + 1. assign V444409 = V491478 - 1. assign V347829 = V064771 + 1. assign V752070 = V059521. assign V862359 = V697000. assign V031692 = V135544 + 1. assign V993900 = V366160. assign V337967 = V847789. assign V064771 = V281696 - 1. assign V082967 = V190338 - 1. assign V366160 = V082967 - 1. assign V705635 = V602913 - 1. assign V190338 = V196607 + 1. assign V484453 = V602913. assign V553927 = V953084. assign V185923 = V198888 - 1. assign V457596 = V675925. assign V425022 = V792290 - 1. assign V069221 = V493212 - 1. assign V703756 = V244206 - 1. assign V198888 = V654183 - 1. assign V813136 = V368550 + 1. assign V349651 = V230752 - 1. assign V920970 = V491478 - 1. assign V273981 = V792290 + 1. assign V904894 = V602913 + 1. assign V518968 = V682798 + 1. assign V437584 = V089772 - 1. assign V286786 = V384249 + 1. assign V211821 = V904894 + 1. assign V800901 = V631973. assign V855634 = V654183 + 1. assign V926724 = V116201 - 1. assign V360205 = V619028 - 1. assign V622255 = V553927 - 1. assign V845716 = V062306 - 1. assign V564197 = V384249 + 1. assign V955084 = V847789 - 1. assign V602913 = V654183 + 1. assign V802262 = V781513. assign V438508 = V631973 + 1. assign V072876 = V847789 + 1. assign V032308 = V135544. assign V883430 = V349651. assign V477762 = V190338 - 1. assign V089772 = V244206 + 1. assign V176718 = V934261 - 1. assign V499415 = V920970 + 1. assign V619615 = V011101 + 1. assign V990450 = V975693.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV945429 = 7;\n\nFrom these direct assignment(s), we have: \nV169868 = V945429 - 1 = 7 - 1 =6;\nNo other variables can be derived from V169868;\nNo other variables can be derived from V945429;\n\nNow we have done all the calculations. Derived variables are:\nV945429 = 7;\nV169868 = 6;\n\nNow we have finished this problem. ANSWER:\nV169868\n", "role": "assistant" } ]

[ "V515541" ]

[ { "content": "<context>\nassign V772321 = V018404 - 1. assign V417074 = V409674. assign V322200 = V986805. assign V620895 = V536892 + 1. assign V022116 = V281557. assign V701338 = V333267 + 1. assign V845438 = V557729 - 1. assign V611240 = V514726 - 1. assign V724305 = V732521. assign V341604 = V063247 + 1. assign V729910 = V645445. assign V743108 = V860566 + 1. assign V002812 = V018404. assign V773609 = V189456 - 1. assign V036869 = V834151 - 1. assign V126060 = V533577 + 1. assign V624555 = V772321 + 1. assign V905008 = V582648 - 1. assign V333267 = V052046. assign V946709 = V730607 - 1. assign V126653 = V305987. assign V292647 = V747187 - 1. assign V747298 = V557036 + 1. assign V078418 = V516961 - 1. assign V056101 = V746445 + 1. assign V515541 = V854372 - 1. assign V986805 = V746445 - 1. assign V850409 = V036869. assign V206522 = V689794 + 1. assign V722550 = V319832. assign V052046 = V620895 + 1. assign V514726 = V746445 - 1. assign V346454 = V645445 + 1. assign V098822 = V319832 - 1. assign V464770 = V729910 + 1. assign V207085 = V660608 + 1. assign V542914 = V546201. assign V533577 = V971206 + 1. assign V063906 = V017161 - 1. assign V123554 = V860355 + 1. assign V860355 = V427063 + 1. assign V002170 = V658787 - 1. assign V431632 = V123554 - 1. assign V526369 = V516961. assign V292244 = V341604 - 1. assign V942742 = V546201. assign V683693 = V309648 + 1. assign V337807 = V063247. assign V953069 = V906706. assign V418471 = V409674 - 1. assign V637776 = V860355 + 1. assign V292863 = V299102. assign V689794 = V063247 + 1. assign V302386 = V101070. assign V918770 = V211352 - 1. assign V798187 = V717340 + 1. assign V651414 = V189456. assign V170129 = V427063. assign V707403 = V467289 - 1. assign V651761 = V707472 - 1. assign V605894 = V796806 - 1. assign V747187 = V946709 - 1. assign V729363 = V730607 + 1. assign V123891 = V762332. assign V914042 = V604244 - 1. assign V762783 = V000846. assign V018404 = V648612. assign V776747 = V018404 - 1. assign V516961 = V582648. assign V325433 = V732521 - 1. assign V309648 = V063247 + 1. assign V472272 = V516961 + 1. assign V648612 = V063247 - 1. assign V732521 = V796806 - 1. assign V869058 = V977719 + 1. assign V211352 = V605894. assign V647712 = V850409 + 1. assign V650904 = V776747 + 1. assign V319832 = V648612 + 1. assign V977719 = V479519. assign V064662 = V206522. assign V000846 = V309648. assign V717340 = V063247 - 1. assign V546201 = V126653 + 1. assign V615737 = V427063 - 1. assign V504487 = V645445 + 1. assign V014152 = V773780 - 1. assign V400042 = V776747. assign V430452 = V626083 + 1. assign V658787 = V799080. assign V017161 = V546201 + 1. assign V773780 = V171777 + 1. assign V799080 = V427063. assign V037011 = V575702. assign V604244 = V746445 + 1. assign V698400 = V724305 - 1. assign V225786 = V319832 + 1. assign V299102 = V730607. assign V839917 = V211352. assign V694011 = V850409 + 1. assign V908325 = V743108 + 1. assign V987426 = V605894 - 1. assign V189456 = V689794 + 1. assign V989916 = V037011 - 1. assign V023911 = V977719. assign V707472 = V860566 + 1. assign V737384 = V098822. assign V697850 = V064662 - 1. assign V009683 = V225797. assign V536892 = V689794 - 1. assign V409674 = V746445 + 1. assign V225797 = V417074. assign V560417 = V417074. assign V305987 = V850409 - 1. assign V911409 = V746445 - 1. assign V371262 = V620895 - 1. assign V427063 = V000846. assign V526949 = V908325 + 1. assign V557729 = V322200 + 1. assign V713974 = V101070. assign V055480 = V773701 + 1. assign V746445 = V063247 - 1. assign V101070 = V773701 - 1. assign V577092 = V730607. assign V739983 = V645445. assign V436194 = V694011 + 1. assign V347975 = V602328 - 1. assign V738657 = V647712. assign V834151 = V063247 + 1. assign V603137 = V341604. assign V308276 = V052046. assign V057040 = V604244. assign V122997 = V347975 - 1. assign V072607 = V776747 + 1. assign V773701 = V582648 + 1. assign V557036 = V729363 + 1. assign V762332 = V615737. assign V908513 = V063247 + 1. assign V253999 = V464770 + 1. assign V906706 = V092949 - 1. assign V730607 = V746445. assign V281557 = V037011 - 1. assign V498818 = V746445 - 1. assign V575702 = V341604 + 1. assign V821016 = V101070 - 1. assign V396315 = V479519 + 1. assign V452736 = V077388 + 1. assign V171777 = V064662 + 1. assign V077388 = V986805 + 1. assign V184254 = V602328. assign V660608 = V698400 + 1. assign V309280 = V325433. assign V701144 = V624555 + 1. assign V209625 = V746445. assign V744432 = V660608 + 1. assign V092949 = V299102 + 1. assign V217855 = V772321 - 1. assign V796806 = V648612 - 1. assign V860566 = V717340 + 1. assign V945428 = V014152. assign V626083 = V683693 - 1. assign V602328 = V746445. assign V645445 = V064662. assign V556979 = V309648. assign V906132 = V184254 + 1. assign V471664 = V171777. assign V582648 = V746445. assign V854372 = 7. assign V467289 = V171777 - 1. assign V479519 = V911409. assign V554475 = V860355. assign V971206 = V225797 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V772321 = V018404 - 1. assign V417074 = V409674. assign V322200 = V986805. assign V620895 = V536892 + 1. assign V022116 = V281557. assign V701338 = V333267 + 1. assign V845438 = V557729 - 1. assign V611240 = V514726 - 1. assign V724305 = V732521. assign V341604 = V063247 + 1. assign V729910 = V645445. assign V743108 = V860566 + 1. assign V002812 = V018404. assign V773609 = V189456 - 1. assign V036869 = V834151 - 1. assign V126060 = V533577 + 1. assign V624555 = V772321 + 1. assign V905008 = V582648 - 1. assign V333267 = V052046. assign V946709 = V730607 - 1. assign V126653 = V305987. assign V292647 = V747187 - 1. assign V747298 = V557036 + 1. assign V078418 = V516961 - 1. assign V056101 = V746445 + 1. assign V515541 = V854372 - 1. assign V986805 = V746445 - 1. assign V850409 = V036869. assign V206522 = V689794 + 1. assign V722550 = V319832. assign V052046 = V620895 + 1. assign V514726 = V746445 - 1. assign V346454 = V645445 + 1. assign V098822 = V319832 - 1. assign V464770 = V729910 + 1. assign V207085 = V660608 + 1. assign V542914 = V546201. assign V533577 = V971206 + 1. assign V063906 = V017161 - 1. assign V123554 = V860355 + 1. assign V860355 = V427063 + 1. assign V002170 = V658787 - 1. assign V431632 = V123554 - 1. assign V526369 = V516961. assign V292244 = V341604 - 1. assign V942742 = V546201. assign V683693 = V309648 + 1. assign V337807 = V063247. assign V953069 = V906706. assign V418471 = V409674 - 1. assign V637776 = V860355 + 1. assign V292863 = V299102. assign V689794 = V063247 + 1. assign V302386 = V101070. assign V918770 = V211352 - 1. assign V798187 = V717340 + 1. assign V651414 = V189456. assign V170129 = V427063. assign V707403 = V467289 - 1. assign V651761 = V707472 - 1. assign V605894 = V796806 - 1. assign V747187 = V946709 - 1. assign V729363 = V730607 + 1. assign V123891 = V762332. assign V914042 = V604244 - 1. assign V762783 = V000846. assign V018404 = V648612. assign V776747 = V018404 - 1. assign V516961 = V582648. assign V325433 = V732521 - 1. assign V309648 = V063247 + 1. assign V472272 = V516961 + 1. assign V648612 = V063247 - 1. assign V732521 = V796806 - 1. assign V869058 = V977719 + 1. assign V211352 = V605894. assign V647712 = V850409 + 1. assign V650904 = V776747 + 1. assign V319832 = V648612 + 1. assign V977719 = V479519. assign V064662 = V206522. assign V000846 = V309648. assign V717340 = V063247 - 1. assign V546201 = V126653 + 1. assign V615737 = V427063 - 1. assign V504487 = V645445 + 1. assign V014152 = V773780 - 1. assign V400042 = V776747. assign V430452 = V626083 + 1. assign V658787 = V799080. assign V017161 = V546201 + 1. assign V773780 = V171777 + 1. assign V799080 = V427063. assign V037011 = V575702. assign V604244 = V746445 + 1. assign V698400 = V724305 - 1. assign V225786 = V319832 + 1. assign V299102 = V730607. assign V839917 = V211352. assign V694011 = V850409 + 1. assign V908325 = V743108 + 1. assign V987426 = V605894 - 1. assign V189456 = V689794 + 1. assign V989916 = V037011 - 1. assign V023911 = V977719. assign V707472 = V860566 + 1. assign V737384 = V098822. assign V697850 = V064662 - 1. assign V009683 = V225797. assign V536892 = V689794 - 1. assign V409674 = V746445 + 1. assign V225797 = V417074. assign V560417 = V417074. assign V305987 = V850409 - 1. assign V911409 = V746445 - 1. assign V371262 = V620895 - 1. assign V427063 = V000846. assign V526949 = V908325 + 1. assign V557729 = V322200 + 1. assign V713974 = V101070. assign V055480 = V773701 + 1. assign V746445 = V063247 - 1. assign V101070 = V773701 - 1. assign V577092 = V730607. assign V739983 = V645445. assign V436194 = V694011 + 1. assign V347975 = V602328 - 1. assign V738657 = V647712. assign V834151 = V063247 + 1. assign V603137 = V341604. assign V308276 = V052046. assign V057040 = V604244. assign V122997 = V347975 - 1. assign V072607 = V776747 + 1. assign V773701 = V582648 + 1. assign V557036 = V729363 + 1. assign V762332 = V615737. assign V908513 = V063247 + 1. assign V253999 = V464770 + 1. assign V906706 = V092949 - 1. assign V730607 = V746445. assign V281557 = V037011 - 1. assign V498818 = V746445 - 1. assign V575702 = V341604 + 1. assign V821016 = V101070 - 1. assign V396315 = V479519 + 1. assign V452736 = V077388 + 1. assign V171777 = V064662 + 1. assign V077388 = V986805 + 1. assign V184254 = V602328. assign V660608 = V698400 + 1. assign V309280 = V325433. assign V701144 = V624555 + 1. assign V209625 = V746445. assign V744432 = V660608 + 1. assign V092949 = V299102 + 1. assign V217855 = V772321 - 1. assign V796806 = V648612 - 1. assign V860566 = V717340 + 1. assign V945428 = V014152. assign V626083 = V683693 - 1. assign V602328 = V746445. assign V645445 = V064662. assign V556979 = V309648. assign V906132 = V184254 + 1. assign V471664 = V171777. assign V582648 = V746445. assign V854372 = 7. assign V467289 = V171777 - 1. assign V479519 = V911409. assign V554475 = V860355. assign V971206 = V225797 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV854372 = 7;\n\nFrom these direct assignment(s), we have: \nV515541 = V854372 - 1 = 7 - 1 =6;\nNo other variables can be derived from V515541;\nNo other variables can be derived from V854372;\n\nNow we have done all the calculations. Derived variables are:\nV854372 = 7;\nV515541 = 6;\n\nNow we have finished this problem. ANSWER:\nV515541\n", "role": "assistant" } ]

[ "V924206", "V751609" ]

[ { "content": "<context>\nassign V958120 = V309483. assign V954683 = V701895. assign V511203 = V094122. assign V266293 = V668564 - 1. assign V679903 = V099346 - 1. assign V419486 = V643756 + 1. assign V700153 = V910353 - 1. assign V721555 = V895705. assign V420689 = V226593 + 1. assign V088496 = V337219 - 1. assign V056652 = V022169 + 1. assign V452774 = V380247 + 1. assign V671934 = V750753 + 1. assign V447185 = V637944 + 1. assign V719075 = V147397 + 1. assign V993008 = V170445 + 1. assign V397569 = V170445 - 1. assign V629013 = V679903 - 1. assign V384901 = V977806 - 1. assign V811178 = V170445 - 1. assign V852185 = V726859 + 1. assign V226593 = V699048. assign V391023 = V954683. assign V636454 = V745900. assign V034429 = V454388. assign V584524 = V865962. assign V757229 = V357753 + 1. assign V079421 = V548493. assign V666730 = V887318 - 1. assign V198725 = V449108 + 1. assign V420135 = V088496 + 1. assign V673543 = V949978 + 1. assign V296592 = V612242 + 1. assign V662489 = V198189 - 1. assign V460073 = V426152. assign V033912 = V243388 + 1. assign V253956 = V942824 - 1. assign V094122 = V895705 + 1. assign V783476 = V033912. assign V548493 = V323726 + 1. assign V578177 = V921679. assign V895705 = V942824 + 1. assign V942824 = V701895 + 1. assign V357753 = V099346 - 1. assign V460039 = V721555. assign V454388 = V811178 - 1. assign V458417 = V789622 + 1. assign V699048 = V954683. assign V950759 = V127641. assign V839375 = V198189 + 1. assign V603459 = V055758 + 1. assign V000945 = V426152. assign V077880 = V666730 + 1. assign V949978 = V954683 + 1. assign V637944 = V721555 + 1. assign V426152 = V337219. assign V977806 = V770628 - 1. assign V111068 = V709059 - 1. assign V999047 = V636454 - 1. assign V147397 = V309483 - 1. assign V780952 = V414607 - 1. assign V624842 = V099346. assign V414844 = V018896 - 1. assign V726859 = V127641 - 1. assign V329637 = V740266 - 1. assign V910353 = V839375. assign V240891 = V629013. assign V643756 = V077880. assign V064609 = V636538 - 1. assign V018896 = V099346 + 1. assign V096454 = V721555 - 1. assign V740266 = V294518 - 1. assign V767952 = V018896 + 1. assign V824849 = V296592 - 1. assign V380247 = V427215. assign V409591 = V242687 - 1. assign V997573 = V247908 + 1. assign V184189 = V887399. assign V924206 = 3. assign V337219 = V099346. assign V581859 = V721555. assign V350177 = V701895. assign V668564 = V977806. assign V287562 = V839375. assign V387600 = V954683 + 1. assign V865962 = V391023 - 1. assign V323726 = V701895 + 1. assign V368698 = V942824. assign V414607 = V997573. assign V478861 = V242687 - 1. assign V732405 = V018896. assign V281386 = V253956 - 1. assign V704308 = V949978 - 1. assign V022169 = V391023 - 1. assign V612242 = V022169 + 1. assign V040313 = V309483 - 1. assign V294518 = V949978 - 1. assign V090590 = V115465 - 1. assign V887399 = V732405 + 1. assign V055758 = V166453. assign V883255 = V123233 + 1. assign V789622 = V022169 + 1. assign V166453 = V123233 - 1. assign V980998 = V055758 - 1. assign V746867 = V895705 - 1. assign V587694 = V704308 - 1. assign V887318 = V731413 + 1. assign V640711 = V709059 + 1. assign V770628 = V337219. assign V198189 = V088496. assign V184758 = V018896 - 1. assign V222257 = V426152. assign V750753 = V779165 + 1. assign V061178 = V688943. assign V778713 = V673543. assign V964696 = V242687 - 1. assign V738063 = V664781. assign V907922 = V449108 + 1. assign V603325 = V040313 - 1. assign V102568 = V409591. assign V099346 = V391023. assign V217152 = V033912. assign V637599 = V958120 - 1. assign V449108 = V731413 - 1. assign V123233 = V949978 + 1. assign V071408 = V811178. assign V851067 = V587694 - 1. assign V185029 = V387600 - 1. assign V636538 = V679903 - 1. assign V050241 = V612242 - 1. assign V789158 = V337219 - 1. assign V502778 = V942824 + 1. assign V751609 = V924206. assign V243388 = V123233 - 1. assign V115465 = V387600 + 1. assign V598039 = V350177 + 1. assign V928044 = V704308 - 1. assign V579644 = V337219 + 1. assign V651075 = V071408. assign V779165 = V387600. assign V595125 = V949978 + 1. assign V309483 = V099346 + 1. assign V417112 = V704308 - 1. assign V170445 = V323726. assign V488119 = V637599. assign V365629 = V548493 + 1. assign V478008 = V123233. assign V731413 = V629013 + 1. assign V921679 = V679903 + 1. assign V688943 = V185029 + 1. assign V276203 = V801087 - 1. assign V523108 = V088496. assign V427215 = V387600 + 1. assign V012561 = V198725 + 1. assign V247908 = V323726. assign V819470 = V079421. assign V818025 = V417112 - 1. assign V709059 = V954683 + 1. assign V572520 = V637944 - 1. assign V225139 = V449108. assign V389369 = V887318 + 1. assign V465800 = V523108 + 1. assign V277013 = V887318 + 1. assign V859855 = V883255 + 1. assign V801087 = V921679 + 1. assign V242687 = V865962 + 1. assign V127641 = V732405 + 1. assign V745900 = V595125 + 1. assign V015081 = V337219. assign V947421 = V243388. assign V141760 = V954683. assign V664781 = V170445 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V958120 = V309483. assign V954683 = V701895. assign V511203 = V094122. assign V266293 = V668564 - 1. assign V679903 = V099346 - 1. assign V419486 = V643756 + 1. assign V700153 = V910353 - 1. assign V721555 = V895705. assign V420689 = V226593 + 1. assign V088496 = V337219 - 1. assign V056652 = V022169 + 1. assign V452774 = V380247 + 1. assign V671934 = V750753 + 1. assign V447185 = V637944 + 1. assign V719075 = V147397 + 1. assign V993008 = V170445 + 1. assign V397569 = V170445 - 1. assign V629013 = V679903 - 1. assign V384901 = V977806 - 1. assign V811178 = V170445 - 1. assign V852185 = V726859 + 1. assign V226593 = V699048. assign V391023 = V954683. assign V636454 = V745900. assign V034429 = V454388. assign V584524 = V865962. assign V757229 = V357753 + 1. assign V079421 = V548493. assign V666730 = V887318 - 1. assign V198725 = V449108 + 1. assign V420135 = V088496 + 1. assign V673543 = V949978 + 1. assign V296592 = V612242 + 1. assign V662489 = V198189 - 1. assign V460073 = V426152. assign V033912 = V243388 + 1. assign V253956 = V942824 - 1. assign V094122 = V895705 + 1. assign V783476 = V033912. assign V548493 = V323726 + 1. assign V578177 = V921679. assign V895705 = V942824 + 1. assign V942824 = V701895 + 1. assign V357753 = V099346 - 1. assign V460039 = V721555. assign V454388 = V811178 - 1. assign V458417 = V789622 + 1. assign V699048 = V954683. assign V950759 = V127641. assign V839375 = V198189 + 1. assign V603459 = V055758 + 1. assign V000945 = V426152. assign V077880 = V666730 + 1. assign V949978 = V954683 + 1. assign V637944 = V721555 + 1. assign V426152 = V337219. assign V977806 = V770628 - 1. assign V111068 = V709059 - 1. assign V999047 = V636454 - 1. assign V147397 = V309483 - 1. assign V780952 = V414607 - 1. assign V624842 = V099346. assign V414844 = V018896 - 1. assign V726859 = V127641 - 1. assign V329637 = V740266 - 1. assign V910353 = V839375. assign V240891 = V629013. assign V643756 = V077880. assign V064609 = V636538 - 1. assign V018896 = V099346 + 1. assign V096454 = V721555 - 1. assign V740266 = V294518 - 1. assign V767952 = V018896 + 1. assign V824849 = V296592 - 1. assign V380247 = V427215. assign V409591 = V242687 - 1. assign V997573 = V247908 + 1. assign V184189 = V887399. assign V924206 = 3. assign V337219 = V099346. assign V581859 = V721555. assign V350177 = V701895. assign V668564 = V977806. assign V287562 = V839375. assign V387600 = V954683 + 1. assign V865962 = V391023 - 1. assign V323726 = V701895 + 1. assign V368698 = V942824. assign V414607 = V997573. assign V478861 = V242687 - 1. assign V732405 = V018896. assign V281386 = V253956 - 1. assign V704308 = V949978 - 1. assign V022169 = V391023 - 1. assign V612242 = V022169 + 1. assign V040313 = V309483 - 1. assign V294518 = V949978 - 1. assign V090590 = V115465 - 1. assign V887399 = V732405 + 1. assign V055758 = V166453. assign V883255 = V123233 + 1. assign V789622 = V022169 + 1. assign V166453 = V123233 - 1. assign V980998 = V055758 - 1. assign V746867 = V895705 - 1. assign V587694 = V704308 - 1. assign V887318 = V731413 + 1. assign V640711 = V709059 + 1. assign V770628 = V337219. assign V198189 = V088496. assign V184758 = V018896 - 1. assign V222257 = V426152. assign V750753 = V779165 + 1. assign V061178 = V688943. assign V778713 = V673543. assign V964696 = V242687 - 1. assign V738063 = V664781. assign V907922 = V449108 + 1. assign V603325 = V040313 - 1. assign V102568 = V409591. assign V099346 = V391023. assign V217152 = V033912. assign V637599 = V958120 - 1. assign V449108 = V731413 - 1. assign V123233 = V949978 + 1. assign V071408 = V811178. assign V851067 = V587694 - 1. assign V185029 = V387600 - 1. assign V636538 = V679903 - 1. assign V050241 = V612242 - 1. assign V789158 = V337219 - 1. assign V502778 = V942824 + 1. assign V751609 = V924206. assign V243388 = V123233 - 1. assign V115465 = V387600 + 1. assign V598039 = V350177 + 1. assign V928044 = V704308 - 1. assign V579644 = V337219 + 1. assign V651075 = V071408. assign V779165 = V387600. assign V595125 = V949978 + 1. assign V309483 = V099346 + 1. assign V417112 = V704308 - 1. assign V170445 = V323726. assign V488119 = V637599. assign V365629 = V548493 + 1. assign V478008 = V123233. assign V731413 = V629013 + 1. assign V921679 = V679903 + 1. assign V688943 = V185029 + 1. assign V276203 = V801087 - 1. assign V523108 = V088496. assign V427215 = V387600 + 1. assign V012561 = V198725 + 1. assign V247908 = V323726. assign V819470 = V079421. assign V818025 = V417112 - 1. assign V709059 = V954683 + 1. assign V572520 = V637944 - 1. assign V225139 = V449108. assign V389369 = V887318 + 1. assign V465800 = V523108 + 1. assign V277013 = V887318 + 1. assign V859855 = V883255 + 1. assign V801087 = V921679 + 1. assign V242687 = V865962 + 1. assign V127641 = V732405 + 1. assign V745900 = V595125 + 1. assign V015081 = V337219. assign V947421 = V243388. assign V141760 = V954683. assign V664781 = V170445 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV924206 = 3;\n\nFrom these direct assignment(s), we have: \nV751609 = V924206 = 3;\nNo other variables can be derived from V751609;\nNo other variables can be derived from V924206;\n\nNow we have done all the calculations. Derived variables are:\nV924206 = 3;\nV751609 = 3;\n\nNow we have finished this problem. ANSWER:\nV924206, V751609\n", "role": "assistant" } ]

[ "V302263" ]

[ { "content": "<context>\nassign V143541 = V879854. assign V596934 = V017446. assign V518334 = V085422. assign V765031 = V547028 + 1. assign V636211 = V338641 + 1. assign V191084 = V781467 - 1. assign V037309 = V074047. assign V206819 = V316140. assign V846250 = V797645 - 1. assign V243643 = V559804 + 1. assign V931131 = V953905 - 1. assign V741654 = V891117 + 1. assign V960070 = V176142. assign V971059 = V671725 + 1. assign V386186 = V782827. assign V123371 = V781467 + 1. assign V058402 = V503459 + 1. assign V610451 = V358754. assign V605299 = V625274 + 1. assign V569786 = V833028 + 1. assign V447148 = V596934 + 1. assign V405529 = V694268 + 1. assign V402009 = V540986. assign V671725 = V559804 - 1. assign V524500 = V117874. assign V380218 = V186374 + 1. assign V647931 = V902227. assign V319608 = V612618. assign V407740 = V547028 - 1. assign V625274 = V506339 + 1. assign V227517 = V243643 - 1. assign V320086 = V155911 + 1. assign V923964 = V501046 + 1. assign V996715 = V052788 - 1. assign V876403 = V569786. assign V913226 = V559804 + 1. assign V455885 = V316140 - 1. assign V106228 = V836608 + 1. assign V694268 = V781467 - 1. assign V812602 = V089571 - 1. assign V427902 = V902227 + 1. assign V176142 = V781467 + 1. assign V727556 = V347004 + 1. assign V973928 = V580532. assign V713633 = V512152 + 1. assign V493517 = V547028. assign V142025 = V540986 + 1. assign V428957 = V005765 - 1. assign V052788 = V540986. assign V211122 = V085422 + 1. assign V833028 = V547028 + 1. assign V659985 = V547028 + 1. assign V493461 = V090676 + 1. assign V727102 = V765031 - 1. assign V778001 = V333465. assign V316140 = V464928 - 1. assign V017446 = V782827 + 1. assign V263010 = V386186 - 1. assign V529795 = V135819. assign V318488 = V813146 - 1. assign V752824 = V386186 + 1. assign V266066 = V017446 + 1. assign V547028 = V671725 - 1. assign V186374 = V612618. assign V879854 = V618548 - 1. assign V215449 = V058662. assign V063374 = V176142 + 1. assign V953905 = V386186 + 1. assign V787271 = 8. assign V347004 = V704227 + 1. assign V228570 = V532382 + 1. assign V087837 = V798035. assign V113969 = V354782 - 1. assign V930343 = V267902 - 1. assign V127918 = V501046 - 1. assign V709407 = V612281 - 1. assign V464928 = V819958 - 1. assign V299568 = V540986 - 1. assign V855375 = V741654. assign V774710 = V512152 - 1. assign V155911 = V087837. assign V251173 = V813486. assign V704227 = V782827 - 1. assign V683044 = V694268. assign V461520 = V031386 - 1. assign V792091 = V114657 + 1. assign V018153 = V529795 + 1. assign V398681 = V913226 + 1. assign V583162 = V186960. assign V563799 = V580532. assign V034438 = V580532 + 1. assign V955770 = V891117 - 1. assign V040336 = V211122 + 1. assign V612618 = V812602. assign V117874 = V211122 - 1. assign V451643 = V671725 - 1. assign V563948 = V402916. assign V580532 = V891117. assign V441431 = V085422. assign V736246 = V540986 + 1. assign V564496 = V797645. assign V529117 = V155911 - 1. assign V781467 = V782827 + 1. assign V798035 = V503459 - 1. assign V782827 = V580532 + 1. assign V655370 = V299568 + 1. assign V135819 = V311181 - 1. assign V813486 = V913226 + 1. assign V805898 = V455885 + 1. assign V090676 = V833028. assign V791362 = V540986 - 1. assign V037737 = V683044. assign V005765 = V812602 + 1. assign V031386 = V923964 - 1. assign V302263 = V787271 + 1. assign V298497 = V447148 - 1. assign V562165 = V311181 + 1. assign V574566 = V805898 - 1. assign V186960 = V960070 - 1. assign V813146 = V017446. assign V333465 = V228570. assign V902227 = V089571 + 1. assign V582706 = V074047. assign V089271 = V563799. assign V797645 = V338641 - 1. assign V501046 = V085422 - 1. assign V612281 = V157795. assign V311181 = V960070 + 1. assign V157181 = V512152. assign V267902 = V428957 + 1. assign V618548 = V973928 - 1. assign V664916 = V562165. assign V559908 = V493517 + 1. assign V164556 = V318488 - 1. assign V338641 = V782827. assign V112384 = V017446 - 1. assign V358754 = V891117. assign V089571 = V074047 + 1. assign V019007 = V813486. assign V017727 = V855375 + 1. assign V058662 = V405529 - 1. assign V506184 = V318488 - 1. assign V718717 = V123371 - 1. assign V157795 = V902227 + 1. assign V007727 = V074047 - 1. assign V396103 = V562165 + 1. assign V250308 = V007727 + 1. assign V011463 = V176142. assign V574692 = V316140 - 1. assign V085422 = V973928. assign V625111 = V618548 + 1. assign V532382 = V085422 + 1. assign V836608 = V891117 - 1. assign V739212 = V798035 + 1. assign V063098 = V727556 + 1. assign V506339 = V704227. assign V815680 = V142025 - 1. assign V540986 = V973928 - 1. assign V503459 = V765031. assign V074047 = V704227 - 1. assign V354782 = V973928 + 1. assign V013465 = V704227. assign V819958 = V580532 - 1. assign V856401 = V211122. assign V114657 = V251173. assign V512152 = V089571. assign V801389 = V461520. assign V826112 = V913226 - 1. assign V603373 = V040336 - 1. assign V402916 = V540986 + 1. assign V559804 = V580532. assign V981626 = V603373 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V143541 = V879854. assign V596934 = V017446. assign V518334 = V085422. assign V765031 = V547028 + 1. assign V636211 = V338641 + 1. assign V191084 = V781467 - 1. assign V037309 = V074047. assign V206819 = V316140. assign V846250 = V797645 - 1. assign V243643 = V559804 + 1. assign V931131 = V953905 - 1. assign V741654 = V891117 + 1. assign V960070 = V176142. assign V971059 = V671725 + 1. assign V386186 = V782827. assign V123371 = V781467 + 1. assign V058402 = V503459 + 1. assign V610451 = V358754. assign V605299 = V625274 + 1. assign V569786 = V833028 + 1. assign V447148 = V596934 + 1. assign V405529 = V694268 + 1. assign V402009 = V540986. assign V671725 = V559804 - 1. assign V524500 = V117874. assign V380218 = V186374 + 1. assign V647931 = V902227. assign V319608 = V612618. assign V407740 = V547028 - 1. assign V625274 = V506339 + 1. assign V227517 = V243643 - 1. assign V320086 = V155911 + 1. assign V923964 = V501046 + 1. assign V996715 = V052788 - 1. assign V876403 = V569786. assign V913226 = V559804 + 1. assign V455885 = V316140 - 1. assign V106228 = V836608 + 1. assign V694268 = V781467 - 1. assign V812602 = V089571 - 1. assign V427902 = V902227 + 1. assign V176142 = V781467 + 1. assign V727556 = V347004 + 1. assign V973928 = V580532. assign V713633 = V512152 + 1. assign V493517 = V547028. assign V142025 = V540986 + 1. assign V428957 = V005765 - 1. assign V052788 = V540986. assign V211122 = V085422 + 1. assign V833028 = V547028 + 1. assign V659985 = V547028 + 1. assign V493461 = V090676 + 1. assign V727102 = V765031 - 1. assign V778001 = V333465. assign V316140 = V464928 - 1. assign V017446 = V782827 + 1. assign V263010 = V386186 - 1. assign V529795 = V135819. assign V318488 = V813146 - 1. assign V752824 = V386186 + 1. assign V266066 = V017446 + 1. assign V547028 = V671725 - 1. assign V186374 = V612618. assign V879854 = V618548 - 1. assign V215449 = V058662. assign V063374 = V176142 + 1. assign V953905 = V386186 + 1. assign V787271 = 8. assign V347004 = V704227 + 1. assign V228570 = V532382 + 1. assign V087837 = V798035. assign V113969 = V354782 - 1. assign V930343 = V267902 - 1. assign V127918 = V501046 - 1. assign V709407 = V612281 - 1. assign V464928 = V819958 - 1. assign V299568 = V540986 - 1. assign V855375 = V741654. assign V774710 = V512152 - 1. assign V155911 = V087837. assign V251173 = V813486. assign V704227 = V782827 - 1. assign V683044 = V694268. assign V461520 = V031386 - 1. assign V792091 = V114657 + 1. assign V018153 = V529795 + 1. assign V398681 = V913226 + 1. assign V583162 = V186960. assign V563799 = V580532. assign V034438 = V580532 + 1. assign V955770 = V891117 - 1. assign V040336 = V211122 + 1. assign V612618 = V812602. assign V117874 = V211122 - 1. assign V451643 = V671725 - 1. assign V563948 = V402916. assign V580532 = V891117. assign V441431 = V085422. assign V736246 = V540986 + 1. assign V564496 = V797645. assign V529117 = V155911 - 1. assign V781467 = V782827 + 1. assign V798035 = V503459 - 1. assign V782827 = V580532 + 1. assign V655370 = V299568 + 1. assign V135819 = V311181 - 1. assign V813486 = V913226 + 1. assign V805898 = V455885 + 1. assign V090676 = V833028. assign V791362 = V540986 - 1. assign V037737 = V683044. assign V005765 = V812602 + 1. assign V031386 = V923964 - 1. assign V302263 = V787271 + 1. assign V298497 = V447148 - 1. assign V562165 = V311181 + 1. assign V574566 = V805898 - 1. assign V186960 = V960070 - 1. assign V813146 = V017446. assign V333465 = V228570. assign V902227 = V089571 + 1. assign V582706 = V074047. assign V089271 = V563799. assign V797645 = V338641 - 1. assign V501046 = V085422 - 1. assign V612281 = V157795. assign V311181 = V960070 + 1. assign V157181 = V512152. assign V267902 = V428957 + 1. assign V618548 = V973928 - 1. assign V664916 = V562165. assign V559908 = V493517 + 1. assign V164556 = V318488 - 1. assign V338641 = V782827. assign V112384 = V017446 - 1. assign V358754 = V891117. assign V089571 = V074047 + 1. assign V019007 = V813486. assign V017727 = V855375 + 1. assign V058662 = V405529 - 1. assign V506184 = V318488 - 1. assign V718717 = V123371 - 1. assign V157795 = V902227 + 1. assign V007727 = V074047 - 1. assign V396103 = V562165 + 1. assign V250308 = V007727 + 1. assign V011463 = V176142. assign V574692 = V316140 - 1. assign V085422 = V973928. assign V625111 = V618548 + 1. assign V532382 = V085422 + 1. assign V836608 = V891117 - 1. assign V739212 = V798035 + 1. assign V063098 = V727556 + 1. assign V506339 = V704227. assign V815680 = V142025 - 1. assign V540986 = V973928 - 1. assign V503459 = V765031. assign V074047 = V704227 - 1. assign V354782 = V973928 + 1. assign V013465 = V704227. assign V819958 = V580532 - 1. assign V856401 = V211122. assign V114657 = V251173. assign V512152 = V089571. assign V801389 = V461520. assign V826112 = V913226 - 1. assign V603373 = V040336 - 1. assign V402916 = V540986 + 1. assign V559804 = V580532. assign V981626 = V603373 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV787271 = 8;\n\nFrom these direct assignment(s), we have: \nV302263 = V787271 + 1 = 8 + 1 =9;\nNo other variables can be derived from V302263;\nNo other variables can be derived from V787271;\n\nNow we have done all the calculations. Derived variables are:\nV787271 = 8;\nV302263 = 9;\n\nNow we have finished this problem. ANSWER:\nV302263\n", "role": "assistant" } ]

[ "V636362" ]

[ { "content": "<context>\nassign V760577 = V960953. assign V468021 = V680414 - 1. assign V721472 = V636362 - 1. assign V887678 = V027198 + 1. assign V939587 = V045022. assign V666060 = V522029. assign V830930 = V862725. assign V259562 = V970246. assign V187316 = V436893. assign V516477 = V781324 + 1. assign V909362 = V038918 - 1. assign V615623 = V392159 - 1. assign V757316 = V591013 - 1. assign V230642 = V437447. assign V966376 = V325411. assign V332297 = V373168 + 1. assign V442516 = V457916. assign V436893 = V230642. assign V575128 = V159897. assign V680414 = V244753. assign V927974 = V687543. assign V253033 = V469275 + 1. assign V701292 = V016712 - 1. assign V240202 = V407347 - 1. assign V093720 = V591013 - 1. assign V522029 = V779796 - 1. assign V947491 = V172121. assign V636362 = 5. assign V805334 = V038918. assign V636800 = V843644. assign V481924 = V437447. assign V097099 = V373168 + 1. assign V339149 = V843249 - 1. assign V323580 = V038918. assign V027198 = V860304 + 1. assign V687543 = V280620 + 1. assign V172121 = V843644 - 1. assign V326250 = V817161 - 1. assign V711584 = V457916. assign V680925 = V545494. assign V528218 = V736031. assign V304874 = V814492 - 1. assign V649092 = V884455. assign V496620 = V045022. assign V182890 = V325411 + 1. assign V407347 = V908596. assign V212506 = V217396 - 1. assign V076818 = V860304 - 1. assign V511544 = V926925 - 1. assign V860304 = V760577 + 1. assign V319783 = V437447. assign V135297 = V058460 + 1. assign V456341 = V808818. assign V406410 = V760577 - 1. assign V499568 = V371370. assign V656633 = V714984 - 1. assign V016712 = V407347. assign V321121 = V987327 + 1. assign V750832 = V016712 - 1. assign V469275 = V075285 + 1. assign V075285 = V280620 + 1. assign V457916 = V736031. assign V494511 = V339149 + 1. assign V884530 = V508943. assign V742308 = V937842 - 1. assign V508943 = V332094 + 1. assign V002120 = V758822 - 1. assign V151414 = V522029 - 1. assign V430131 = V044372. assign V714984 = V522029 + 1. assign V343731 = V339783 + 1. assign V217396 = V392159 + 1. assign V584271 = V817776 - 1. assign V170320 = V002120 - 1. assign V083911 = V172121. assign V135195 = V016712 - 1. assign V088366 = V130171 - 1. assign V817776 = V259562 + 1. assign V545494 = V395457. assign V144319 = V680925. assign V758822 = V353946 + 1. assign V308191 = V937842 - 1. assign V987327 = V814492 - 1. assign V754930 = V076818 + 1. assign V825539 = V496620. assign V478079 = V469275 - 1. assign V353946 = V843249 - 1. assign V862725 = V908596 - 1. assign V408659 = V373168 + 1. assign V258740 = V038918 - 1. assign V332094 = V304874 - 1. assign V038918 = V814492 + 1. assign V828797 = V646880. assign V884455 = V217396 + 1. assign V058460 = V437447. assign V970246 = V666060. assign V526660 = V304874 + 1. assign V280620 = V814492 - 1. assign V781324 = V353946 + 1. assign V908596 = V814492. assign V808818 = V862725 - 1. assign V817550 = V615623 + 1. assign V244753 = V407347 + 1. assign V395457 = V742308 - 1. assign V772440 = V584271 - 1. assign V646366 = V522029 + 1. assign V387671 = V908596. assign V404197 = V862725 + 1. assign V456250 = V995282 - 1. assign V626527 = V483140 - 1. assign V014285 = V457916 + 1. assign V532879 = V027198. assign V636176 = V970246. assign V339783 = V966376 - 1. assign V105414 = V038918 + 1. assign V437447 = V407347 + 1. assign V130171 = V104411 + 1. assign V635739 = V135195 + 1. assign V044372 = V104411 + 1. assign V442933 = V304874. assign V158921 = V408659 - 1. assign V628134 = V666060 + 1. assign V045022 = V817161 - 1. assign V483140 = V478079. assign V827222 = V775263. assign V236020 = V045022 + 1. assign V212525 = V468341 - 1. assign V275578 = V750832. assign V937842 = V075285 - 1. assign V571666 = V927974 - 1. assign V409722 = V736031 + 1. assign V896424 = V760577 - 1. assign V468341 = V775263. assign V549044 = V860304 - 1. assign V296857 = V526660 - 1. assign V104411 = V522029. assign V591013 = V353946. assign V148162 = V457916. assign V736031 = V860304 + 1. assign V926925 = V466074 + 1. assign V373168 = V817161 + 1. assign V159897 = V646880. assign V769025 = V884455 - 1. assign V392159 = V862725 + 1. assign V900238 = V304874 - 1. assign V646880 = V496620. assign V325411 = V908596 - 1. assign V479831 = V742308. assign V466074 = V666060 + 1. assign V154932 = V044372 + 1. assign V995282 = V817550 + 1. assign V775263 = V687543 + 1. assign V632255 = V496620 + 1. assign V814492 = V779796 - 1. assign V843644 = V862725 + 1. assign V371370 = V522029 + 1. assign V081450 = V591013. assign V260950 = V172121 - 1. assign V767766 = V960953 + 1. assign V740523 = V373168 + 1. assign V301709 = V814492 - 1. assign V730814 = V217396 - 1. assign V236633 = V591013. assign V122742 = V325411 - 1. assign V683904 = V442516 + 1. assign V891969 = V456250. assign V817161 = V779796 + 1. assign V843249 = V075285 + 1. assign V960953 = V280620 + 1. assign V007477 = V332094. assign V686770 = V843249 + 1. assign V886612 = V151414.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V760577 = V960953. assign V468021 = V680414 - 1. assign V721472 = V636362 - 1. assign V887678 = V027198 + 1. assign V939587 = V045022. assign V666060 = V522029. assign V830930 = V862725. assign V259562 = V970246. assign V187316 = V436893. assign V516477 = V781324 + 1. assign V909362 = V038918 - 1. assign V615623 = V392159 - 1. assign V757316 = V591013 - 1. assign V230642 = V437447. assign V966376 = V325411. assign V332297 = V373168 + 1. assign V442516 = V457916. assign V436893 = V230642. assign V575128 = V159897. assign V680414 = V244753. assign V927974 = V687543. assign V253033 = V469275 + 1. assign V701292 = V016712 - 1. assign V240202 = V407347 - 1. assign V093720 = V591013 - 1. assign V522029 = V779796 - 1. assign V947491 = V172121. assign V636362 = 5. assign V805334 = V038918. assign V636800 = V843644. assign V481924 = V437447. assign V097099 = V373168 + 1. assign V339149 = V843249 - 1. assign V323580 = V038918. assign V027198 = V860304 + 1. assign V687543 = V280620 + 1. assign V172121 = V843644 - 1. assign V326250 = V817161 - 1. assign V711584 = V457916. assign V680925 = V545494. assign V528218 = V736031. assign V304874 = V814492 - 1. assign V649092 = V884455. assign V496620 = V045022. assign V182890 = V325411 + 1. assign V407347 = V908596. assign V212506 = V217396 - 1. assign V076818 = V860304 - 1. assign V511544 = V926925 - 1. assign V860304 = V760577 + 1. assign V319783 = V437447. assign V135297 = V058460 + 1. assign V456341 = V808818. assign V406410 = V760577 - 1. assign V499568 = V371370. assign V656633 = V714984 - 1. assign V016712 = V407347. assign V321121 = V987327 + 1. assign V750832 = V016712 - 1. assign V469275 = V075285 + 1. assign V075285 = V280620 + 1. assign V457916 = V736031. assign V494511 = V339149 + 1. assign V884530 = V508943. assign V742308 = V937842 - 1. assign V508943 = V332094 + 1. assign V002120 = V758822 - 1. assign V151414 = V522029 - 1. assign V430131 = V044372. assign V714984 = V522029 + 1. assign V343731 = V339783 + 1. assign V217396 = V392159 + 1. assign V584271 = V817776 - 1. assign V170320 = V002120 - 1. assign V083911 = V172121. assign V135195 = V016712 - 1. assign V088366 = V130171 - 1. assign V817776 = V259562 + 1. assign V545494 = V395457. assign V144319 = V680925. assign V758822 = V353946 + 1. assign V308191 = V937842 - 1. assign V987327 = V814492 - 1. assign V754930 = V076818 + 1. assign V825539 = V496620. assign V478079 = V469275 - 1. assign V353946 = V843249 - 1. assign V862725 = V908596 - 1. assign V408659 = V373168 + 1. assign V258740 = V038918 - 1. assign V332094 = V304874 - 1. assign V038918 = V814492 + 1. assign V828797 = V646880. assign V884455 = V217396 + 1. assign V058460 = V437447. assign V970246 = V666060. assign V526660 = V304874 + 1. assign V280620 = V814492 - 1. assign V781324 = V353946 + 1. assign V908596 = V814492. assign V808818 = V862725 - 1. assign V817550 = V615623 + 1. assign V244753 = V407347 + 1. assign V395457 = V742308 - 1. assign V772440 = V584271 - 1. assign V646366 = V522029 + 1. assign V387671 = V908596. assign V404197 = V862725 + 1. assign V456250 = V995282 - 1. assign V626527 = V483140 - 1. assign V014285 = V457916 + 1. assign V532879 = V027198. assign V636176 = V970246. assign V339783 = V966376 - 1. assign V105414 = V038918 + 1. assign V437447 = V407347 + 1. assign V130171 = V104411 + 1. assign V635739 = V135195 + 1. assign V044372 = V104411 + 1. assign V442933 = V304874. assign V158921 = V408659 - 1. assign V628134 = V666060 + 1. assign V045022 = V817161 - 1. assign V483140 = V478079. assign V827222 = V775263. assign V236020 = V045022 + 1. assign V212525 = V468341 - 1. assign V275578 = V750832. assign V937842 = V075285 - 1. assign V571666 = V927974 - 1. assign V409722 = V736031 + 1. assign V896424 = V760577 - 1. assign V468341 = V775263. assign V549044 = V860304 - 1. assign V296857 = V526660 - 1. assign V104411 = V522029. assign V591013 = V353946. assign V148162 = V457916. assign V736031 = V860304 + 1. assign V926925 = V466074 + 1. assign V373168 = V817161 + 1. assign V159897 = V646880. assign V769025 = V884455 - 1. assign V392159 = V862725 + 1. assign V900238 = V304874 - 1. assign V646880 = V496620. assign V325411 = V908596 - 1. assign V479831 = V742308. assign V466074 = V666060 + 1. assign V154932 = V044372 + 1. assign V995282 = V817550 + 1. assign V775263 = V687543 + 1. assign V632255 = V496620 + 1. assign V814492 = V779796 - 1. assign V843644 = V862725 + 1. assign V371370 = V522029 + 1. assign V081450 = V591013. assign V260950 = V172121 - 1. assign V767766 = V960953 + 1. assign V740523 = V373168 + 1. assign V301709 = V814492 - 1. assign V730814 = V217396 - 1. assign V236633 = V591013. assign V122742 = V325411 - 1. assign V683904 = V442516 + 1. assign V891969 = V456250. assign V817161 = V779796 + 1. assign V843249 = V075285 + 1. assign V960953 = V280620 + 1. assign V007477 = V332094. assign V686770 = V843249 + 1. assign V886612 = V151414.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV636362 = 5;\n\nFrom these direct assignment(s), we have: \nV721472 = V636362 - 1 = 5 - 1 =4;\nNo other variables can be derived from V721472;\nNo other variables can be derived from V636362;\n\nNow we have done all the calculations. Derived variables are:\nV636362 = 5;\nV721472 = 4;\n\nNow we have finished this problem. ANSWER:\nV636362\n", "role": "assistant" } ]

[ "V246417" ]

[ { "content": "<context>\nassign V895739 = V291360 + 1. assign V211788 = V819646. assign V792571 = V081175 - 1. assign V781736 = V064397 + 1. assign V917332 = V550088 - 1. assign V104917 = V071378 - 1. assign V742867 = V734529. assign V471690 = V734529. assign V718623 = V471690 - 1. assign V040767 = V468032 - 1. assign V736532 = V687554. assign V205084 = V329426 - 1. assign V963986 = V087663 - 1. assign V938439 = V129579 + 1. assign V876454 = V391485 + 1. assign V086621 = V190277. assign V241968 = V815712 + 1. assign V379835 = V398925 - 1. assign V421786 = V233899 - 1. assign V687554 = V938439. assign V150811 = V707182 - 1. assign V330256 = V230138. assign V707182 = V233899 + 1. assign V676513 = V471690. assign V653774 = V050682 - 1. assign V864899 = V993383 - 1. assign V315888 = V815712. assign V755270 = V050682 - 1. assign V071378 = V205084 + 1. assign V909758 = V815712 - 1. assign V234719 = V241968 + 1. assign V772032 = V734529. assign V907067 = V384642 - 1. assign V398925 = V824468. assign V553776 = V399205. assign V279872 = V626217 + 1. assign V824284 = V379835 - 1. assign V824468 = V667559. assign V630205 = V465512 - 1. assign V337014 = V661758 - 1. assign V251792 = V414893 + 1. assign V957307 = V081175 + 1. assign V399205 = V535688 + 1. assign V050682 = V377732. assign V115611 = V246417 - 1. assign V737299 = V718623 + 1. assign V993223 = V309736. assign V377732 = V677074 - 1. assign V468032 = V620642 - 1. assign V677074 = V380600. assign V081175 = V171811 - 1. assign V171811 = V465512 + 1. assign V380600 = V129579 + 1. assign V597182 = V528509. assign V449102 = V514098 - 1. assign V098191 = V907067 + 1. assign V168841 = V021352. assign V312183 = V337136 + 1. assign V208667 = V819646 - 1. assign V063523 = V235673 - 1. assign V190277 = V307859. assign V937846 = V234719. assign V254146 = V233899 + 1. assign V734529 = V667559 + 1. assign V286000 = V081175. assign V638274 = V119716. assign V465512 = V815712 + 1. assign V028255 = V416652 + 1. assign V602907 = V078142 + 1. assign V541996 = V037096. assign V274552 = V071378. assign V871930 = V315888. assign V488694 = V274552. assign V230138 = V471690 + 1. assign V857605 = V307859 - 1. assign V337136 = V514098 - 1. assign V090251 = V638274 + 1. assign V361078 = V190277 + 1. assign V320095 = V315888. assign V119716 = V667559 + 1. assign V800447 = V854774 + 1. assign V520870 = V938439. assign V854774 = V528509 + 1. assign V930829 = V639173 - 1. assign V535688 = V666697. assign V221477 = V819646 + 1. assign V492849 = V772032 + 1. assign V341969 = V561355. assign V447292 = V826794 + 1. assign V950768 = V021352. assign V723883 = V666697 + 1. assign V993383 = V329426 - 1. assign V258253 = V815712 - 1. assign V555849 = V963986. assign V129579 = V307859 - 1. assign V794033 = V465512 - 1. assign V037096 = V517125. assign V826794 = V291360 + 1. assign V714822 = V514098 - 1. assign V616041 = V824468. assign V291360 = V171811 - 1. assign V060844 = V320095 - 1. assign V125647 = V553776 + 1. assign V107112 = V815712 + 1. assign V912941 = V514098. assign V384642 = V274552. assign V064397 = V864899. assign V620642 = V233899. assign V798028 = V669703 - 1. assign V024512 = V205084. assign V575607 = V638274 + 1. assign V078142 = V819646. assign V087663 = V734529. assign V009092 = V205084 - 1. assign V403435 = V205084. assign V669703 = V909758 - 1. assign V416652 = V171811 + 1. assign V231901 = V620642 - 1. assign V773244 = V190277 - 1. assign V414893 = V792827 + 1. assign V391485 = V205084. assign V301612 = V379835 - 1. assign V792827 = V241968. assign V733190 = V231901 - 1. assign V058111 = V815712 + 1. assign V626217 = V912941. assign V570370 = V930829. assign V874022 = V377732. assign V122727 = V235673. assign V233899 = V119716 + 1. assign V540628 = V517125. assign V550088 = V208667. assign V309736 = V129579 - 1. assign V021352 = V871930 - 1. assign V569022 = V701491. assign V373435 = V595800 + 1. assign V012526 = V312183. assign V832303 = V309736 - 1. assign V639173 = V078142 - 1. assign V425436 = V068129 - 1. assign V246417 = 10. assign V572510 = V087663. assign V999677 = V361078. assign V052093 = V190277 - 1. assign V701491 = V462569. assign V528509 = V171811 + 1. assign V595800 = V714822 - 1. assign V661758 = V857605 - 1. assign V557451 = V550088 + 1. assign V666697 = V087663. assign V667559 = V819646. assign V462569 = V315888 + 1. assign V329426 = V361078 + 1. assign V269370 = V669703. assign V387757 = V950768 - 1. assign V615579 = V772032. assign V514098 = V129579 - 1. assign V068129 = V999677. assign V774059 = V399205. assign V056205 = V071378. assign V932884 = V251792 + 1. assign V680117 = V742867 - 1. assign V134140 = V669703. assign V235673 = V361078 - 1. assign V307859 = V819646 - 1. assign V230250 = V871930 - 1. assign V517125 = V550088 - 1. assign V561355 = V819646 + 1. assign V262641 = V312183 - 1. assign V815712 = V380600 + 1. assign V624307 = V307859 + 1. assign V535619 = V231901 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V895739 = V291360 + 1. assign V211788 = V819646. assign V792571 = V081175 - 1. assign V781736 = V064397 + 1. assign V917332 = V550088 - 1. assign V104917 = V071378 - 1. assign V742867 = V734529. assign V471690 = V734529. assign V718623 = V471690 - 1. assign V040767 = V468032 - 1. assign V736532 = V687554. assign V205084 = V329426 - 1. assign V963986 = V087663 - 1. assign V938439 = V129579 + 1. assign V876454 = V391485 + 1. assign V086621 = V190277. assign V241968 = V815712 + 1. assign V379835 = V398925 - 1. assign V421786 = V233899 - 1. assign V687554 = V938439. assign V150811 = V707182 - 1. assign V330256 = V230138. assign V707182 = V233899 + 1. assign V676513 = V471690. assign V653774 = V050682 - 1. assign V864899 = V993383 - 1. assign V315888 = V815712. assign V755270 = V050682 - 1. assign V071378 = V205084 + 1. assign V909758 = V815712 - 1. assign V234719 = V241968 + 1. assign V772032 = V734529. assign V907067 = V384642 - 1. assign V398925 = V824468. assign V553776 = V399205. assign V279872 = V626217 + 1. assign V824284 = V379835 - 1. assign V824468 = V667559. assign V630205 = V465512 - 1. assign V337014 = V661758 - 1. assign V251792 = V414893 + 1. assign V957307 = V081175 + 1. assign V399205 = V535688 + 1. assign V050682 = V377732. assign V115611 = V246417 - 1. assign V737299 = V718623 + 1. assign V993223 = V309736. assign V377732 = V677074 - 1. assign V468032 = V620642 - 1. assign V677074 = V380600. assign V081175 = V171811 - 1. assign V171811 = V465512 + 1. assign V380600 = V129579 + 1. assign V597182 = V528509. assign V449102 = V514098 - 1. assign V098191 = V907067 + 1. assign V168841 = V021352. assign V312183 = V337136 + 1. assign V208667 = V819646 - 1. assign V063523 = V235673 - 1. assign V190277 = V307859. assign V937846 = V234719. assign V254146 = V233899 + 1. assign V734529 = V667559 + 1. assign V286000 = V081175. assign V638274 = V119716. assign V465512 = V815712 + 1. assign V028255 = V416652 + 1. assign V602907 = V078142 + 1. assign V541996 = V037096. assign V274552 = V071378. assign V871930 = V315888. assign V488694 = V274552. assign V230138 = V471690 + 1. assign V857605 = V307859 - 1. assign V337136 = V514098 - 1. assign V090251 = V638274 + 1. assign V361078 = V190277 + 1. assign V320095 = V315888. assign V119716 = V667559 + 1. assign V800447 = V854774 + 1. assign V520870 = V938439. assign V854774 = V528509 + 1. assign V930829 = V639173 - 1. assign V535688 = V666697. assign V221477 = V819646 + 1. assign V492849 = V772032 + 1. assign V341969 = V561355. assign V447292 = V826794 + 1. assign V950768 = V021352. assign V723883 = V666697 + 1. assign V993383 = V329426 - 1. assign V258253 = V815712 - 1. assign V555849 = V963986. assign V129579 = V307859 - 1. assign V794033 = V465512 - 1. assign V037096 = V517125. assign V826794 = V291360 + 1. assign V714822 = V514098 - 1. assign V616041 = V824468. assign V291360 = V171811 - 1. assign V060844 = V320095 - 1. assign V125647 = V553776 + 1. assign V107112 = V815712 + 1. assign V912941 = V514098. assign V384642 = V274552. assign V064397 = V864899. assign V620642 = V233899. assign V798028 = V669703 - 1. assign V024512 = V205084. assign V575607 = V638274 + 1. assign V078142 = V819646. assign V087663 = V734529. assign V009092 = V205084 - 1. assign V403435 = V205084. assign V669703 = V909758 - 1. assign V416652 = V171811 + 1. assign V231901 = V620642 - 1. assign V773244 = V190277 - 1. assign V414893 = V792827 + 1. assign V391485 = V205084. assign V301612 = V379835 - 1. assign V792827 = V241968. assign V733190 = V231901 - 1. assign V058111 = V815712 + 1. assign V626217 = V912941. assign V570370 = V930829. assign V874022 = V377732. assign V122727 = V235673. assign V233899 = V119716 + 1. assign V540628 = V517125. assign V550088 = V208667. assign V309736 = V129579 - 1. assign V021352 = V871930 - 1. assign V569022 = V701491. assign V373435 = V595800 + 1. assign V012526 = V312183. assign V832303 = V309736 - 1. assign V639173 = V078142 - 1. assign V425436 = V068129 - 1. assign V246417 = 10. assign V572510 = V087663. assign V999677 = V361078. assign V052093 = V190277 - 1. assign V701491 = V462569. assign V528509 = V171811 + 1. assign V595800 = V714822 - 1. assign V661758 = V857605 - 1. assign V557451 = V550088 + 1. assign V666697 = V087663. assign V667559 = V819646. assign V462569 = V315888 + 1. assign V329426 = V361078 + 1. assign V269370 = V669703. assign V387757 = V950768 - 1. assign V615579 = V772032. assign V514098 = V129579 - 1. assign V068129 = V999677. assign V774059 = V399205. assign V056205 = V071378. assign V932884 = V251792 + 1. assign V680117 = V742867 - 1. assign V134140 = V669703. assign V235673 = V361078 - 1. assign V307859 = V819646 - 1. assign V230250 = V871930 - 1. assign V517125 = V550088 - 1. assign V561355 = V819646 + 1. assign V262641 = V312183 - 1. assign V815712 = V380600 + 1. assign V624307 = V307859 + 1. assign V535619 = V231901 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV246417 = 10;\n\nFrom these direct assignment(s), we have: \nV115611 = V246417 - 1 = 10 - 1 =9;\nNo other variables can be derived from V115611;\nNo other variables can be derived from V246417;\n\nNow we have done all the calculations. Derived variables are:\nV246417 = 10;\nV115611 = 9;\n\nNow we have finished this problem. ANSWER:\nV246417\n", "role": "assistant" } ]

[ "V564624", "V470432" ]

[ { "content": "<context>\nassign V046240 = V017190 + 1. assign V809774 = V278804 + 1. assign V304849 = V783751 - 1. assign V627285 = V474876. assign V880219 = V568205 + 1. assign V127890 = V225209 + 1. assign V474876 = V206354. assign V362581 = V818969 + 1. assign V134841 = V571501 - 1. assign V052553 = V114746 + 1. assign V512734 = V273651 + 1. assign V117472 = V779488. assign V684091 = V981027 + 1. assign V790013 = V233870 + 1. assign V818969 = V824462 - 1. assign V328875 = V885237 - 1. assign V214948 = V624324 + 1. assign V002899 = V314595 - 1. assign V517824 = V909550. assign V065636 = V167221 - 1. assign V564624 = 8. assign V728564 = V613881 + 1. assign V925152 = V845843 + 1. assign V540312 = V328875 - 1. assign V335754 = V126331. assign V131100 = V193818 + 1. assign V184267 = V373083 + 1. assign V812238 = V779488 + 1. assign V072384 = V873837. assign V631173 = V640137 + 1. assign V179277 = V728564 + 1. assign V520050 = V285858 + 1. assign V685052 = V624324. assign V726786 = V668680. assign V073737 = V740227 + 1. assign V253551 = V841958. assign V193818 = V640137 + 1. assign V845748 = V830974. assign V783751 = V184267 - 1. assign V141009 = V535579. assign V115858 = V824462. assign V274919 = V362581. assign V740270 = V366470. assign V126331 = V692141 + 1. assign V167221 = V824462 + 1. assign V106723 = V841958. assign V029744 = V809774. assign V482776 = V313717 + 1. assign V353887 = V114746 - 1. assign V076848 = V862996 - 1. assign V575477 = V184267 + 1. assign V738987 = V259872 - 1. assign V565563 = V873837 - 1. assign V208418 = V535579. assign V442213 = V547897 + 1. assign V775668 = V624818. assign V878561 = V167221. assign V613881 = V314595. assign V514623 = V535579 - 1. assign V668680 = V826683 + 1. assign V871375 = V571501. assign V388619 = V088973 - 1. assign V866891 = V259872 - 1. assign V154350 = V568205 + 1. assign V624324 = V769034 - 1. assign V561625 = V878561 + 1. assign V860730 = V726786. assign V587058 = V273651 + 1. assign V721229 = V909550 + 1. assign V901500 = V783751 + 1. assign V436610 = V208418 - 1. assign V885237 = V167221 + 1. assign V824462 = V373083 - 1. assign V968220 = V404873 + 1. assign V404873 = V773083 - 1. assign V330342 = V587058. assign V999081 = V627285 - 1. assign V278804 = V561625. assign V896851 = V206354 + 1. assign V578203 = V115858 + 1. assign V873837 = V167221 - 1. assign V924502 = V783751 + 1. assign V951774 = V613881. assign V942733 = V783751 - 1. assign V830974 = V783751 + 1. assign V275897 = V624818 + 1. assign V273164 = V830974. assign V233870 = V845748. assign V973510 = V017190 - 1. assign V914370 = V841958. assign V273651 = V184267 + 1. assign V956265 = V482776 - 1. assign V244743 = V474876. assign V124687 = V826683 + 1. assign V389671 = V126331 - 1. assign V726307 = V535579. assign V845843 = V436610 + 1. assign V855228 = V878561 + 1. assign V929331 = V520050 - 1. assign V826683 = V314595 - 1. assign V256866 = V914370 - 1. assign V981027 = V131100. assign V909550 = V115858 + 1. assign V773083 = V052553 - 1. assign V999480 = V830974 - 1. assign V841958 = V314595 - 1. assign V749354 = V885237 + 1. assign V142278 = V373083 - 1. assign V548345 = V520050 - 1. assign V688958 = V587058 - 1. assign V713294 = V535579 + 1. assign V724480 = V278804. assign V088973 = V728564 + 1. assign V206354 = V225209 - 1. assign V064508 = V855622 + 1. assign V891276 = V253551. assign V921588 = V914370 + 1. assign V547897 = V002899 + 1. assign V098206 = V587058. assign V017190 = V885237 + 1. assign V299141 = V749354 + 1. assign V568205 = V373756 + 1. assign V470432 = V564624. assign V740227 = V167221. assign V934044 = V688958 + 1. assign V114746 = V824462 + 1. assign V225209 = V726786 + 1. assign V855622 = V910366 - 1. assign V526192 = V841958 - 1. assign V479617 = V909550 + 1. assign V761588 = V640137 + 1. assign V691389 = V253551 + 1. assign V952024 = V740227. assign V976915 = V436610 - 1. assign V313717 = V885237 + 1. assign V993742 = V206354. assign V862996 = V934044 + 1. assign V243148 = V273164. assign V340945 = V871375. assign V041905 = V117472 + 1. assign V571501 = V314595. assign V272914 = V565563 + 1. assign V357594 = V713294. assign V688025 = V278804. assign V259872 = V256866 - 1. assign V686054 = V684091 + 1. assign V640137 = V924502 - 1. assign V079529 = V124687 - 1. assign V910366 = V285858 - 1. assign V375483 = V783751 - 1. assign V285858 = V373083. assign V535579 = V783751 + 1. assign V197548 = V373756 - 1. assign V497431 = V278804 + 1. assign V624818 = V924502. assign V228475 = V726786. assign V173921 = V520050 + 1. assign V314595 = V373083 - 1. assign V769034 = V373083 - 1. assign V779488 = V809774 - 1. assign V366470 = V824462 + 1. assign V928404 = V692141. assign V914652 = V914370. assign V903666 = V726786 + 1. assign V938228 = V830974 - 1. assign V857535 = V640137 + 1. assign V967344 = V914370 + 1. assign V692141 = V106723 + 1. assign V977351 = V366470 + 1. assign V373756 = V640137 - 1. assign V543033 = V115858 + 1. assign V635928 = V117472.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V046240 = V017190 + 1. assign V809774 = V278804 + 1. assign V304849 = V783751 - 1. assign V627285 = V474876. assign V880219 = V568205 + 1. assign V127890 = V225209 + 1. assign V474876 = V206354. assign V362581 = V818969 + 1. assign V134841 = V571501 - 1. assign V052553 = V114746 + 1. assign V512734 = V273651 + 1. assign V117472 = V779488. assign V684091 = V981027 + 1. assign V790013 = V233870 + 1. assign V818969 = V824462 - 1. assign V328875 = V885237 - 1. assign V214948 = V624324 + 1. assign V002899 = V314595 - 1. assign V517824 = V909550. assign V065636 = V167221 - 1. assign V564624 = 8. assign V728564 = V613881 + 1. assign V925152 = V845843 + 1. assign V540312 = V328875 - 1. assign V335754 = V126331. assign V131100 = V193818 + 1. assign V184267 = V373083 + 1. assign V812238 = V779488 + 1. assign V072384 = V873837. assign V631173 = V640137 + 1. assign V179277 = V728564 + 1. assign V520050 = V285858 + 1. assign V685052 = V624324. assign V726786 = V668680. assign V073737 = V740227 + 1. assign V253551 = V841958. assign V193818 = V640137 + 1. assign V845748 = V830974. assign V783751 = V184267 - 1. assign V141009 = V535579. assign V115858 = V824462. assign V274919 = V362581. assign V740270 = V366470. assign V126331 = V692141 + 1. assign V167221 = V824462 + 1. assign V106723 = V841958. assign V029744 = V809774. assign V482776 = V313717 + 1. assign V353887 = V114746 - 1. assign V076848 = V862996 - 1. assign V575477 = V184267 + 1. assign V738987 = V259872 - 1. assign V565563 = V873837 - 1. assign V208418 = V535579. assign V442213 = V547897 + 1. assign V775668 = V624818. assign V878561 = V167221. assign V613881 = V314595. assign V514623 = V535579 - 1. assign V668680 = V826683 + 1. assign V871375 = V571501. assign V388619 = V088973 - 1. assign V866891 = V259872 - 1. assign V154350 = V568205 + 1. assign V624324 = V769034 - 1. assign V561625 = V878561 + 1. assign V860730 = V726786. assign V587058 = V273651 + 1. assign V721229 = V909550 + 1. assign V901500 = V783751 + 1. assign V436610 = V208418 - 1. assign V885237 = V167221 + 1. assign V824462 = V373083 - 1. assign V968220 = V404873 + 1. assign V404873 = V773083 - 1. assign V330342 = V587058. assign V999081 = V627285 - 1. assign V278804 = V561625. assign V896851 = V206354 + 1. assign V578203 = V115858 + 1. assign V873837 = V167221 - 1. assign V924502 = V783751 + 1. assign V951774 = V613881. assign V942733 = V783751 - 1. assign V830974 = V783751 + 1. assign V275897 = V624818 + 1. assign V273164 = V830974. assign V233870 = V845748. assign V973510 = V017190 - 1. assign V914370 = V841958. assign V273651 = V184267 + 1. assign V956265 = V482776 - 1. assign V244743 = V474876. assign V124687 = V826683 + 1. assign V389671 = V126331 - 1. assign V726307 = V535579. assign V845843 = V436610 + 1. assign V855228 = V878561 + 1. assign V929331 = V520050 - 1. assign V826683 = V314595 - 1. assign V256866 = V914370 - 1. assign V981027 = V131100. assign V909550 = V115858 + 1. assign V773083 = V052553 - 1. assign V999480 = V830974 - 1. assign V841958 = V314595 - 1. assign V749354 = V885237 + 1. assign V142278 = V373083 - 1. assign V548345 = V520050 - 1. assign V688958 = V587058 - 1. assign V713294 = V535579 + 1. assign V724480 = V278804. assign V088973 = V728564 + 1. assign V206354 = V225209 - 1. assign V064508 = V855622 + 1. assign V891276 = V253551. assign V921588 = V914370 + 1. assign V547897 = V002899 + 1. assign V098206 = V587058. assign V017190 = V885237 + 1. assign V299141 = V749354 + 1. assign V568205 = V373756 + 1. assign V470432 = V564624. assign V740227 = V167221. assign V934044 = V688958 + 1. assign V114746 = V824462 + 1. assign V225209 = V726786 + 1. assign V855622 = V910366 - 1. assign V526192 = V841958 - 1. assign V479617 = V909550 + 1. assign V761588 = V640137 + 1. assign V691389 = V253551 + 1. assign V952024 = V740227. assign V976915 = V436610 - 1. assign V313717 = V885237 + 1. assign V993742 = V206354. assign V862996 = V934044 + 1. assign V243148 = V273164. assign V340945 = V871375. assign V041905 = V117472 + 1. assign V571501 = V314595. assign V272914 = V565563 + 1. assign V357594 = V713294. assign V688025 = V278804. assign V259872 = V256866 - 1. assign V686054 = V684091 + 1. assign V640137 = V924502 - 1. assign V079529 = V124687 - 1. assign V910366 = V285858 - 1. assign V375483 = V783751 - 1. assign V285858 = V373083. assign V535579 = V783751 + 1. assign V197548 = V373756 - 1. assign V497431 = V278804 + 1. assign V624818 = V924502. assign V228475 = V726786. assign V173921 = V520050 + 1. assign V314595 = V373083 - 1. assign V769034 = V373083 - 1. assign V779488 = V809774 - 1. assign V366470 = V824462 + 1. assign V928404 = V692141. assign V914652 = V914370. assign V903666 = V726786 + 1. assign V938228 = V830974 - 1. assign V857535 = V640137 + 1. assign V967344 = V914370 + 1. assign V692141 = V106723 + 1. assign V977351 = V366470 + 1. assign V373756 = V640137 - 1. assign V543033 = V115858 + 1. assign V635928 = V117472.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV564624 = 8;\n\nFrom these direct assignment(s), we have: \nV470432 = V564624 = 8;\nNo other variables can be derived from V470432;\nNo other variables can be derived from V564624;\n\nNow we have done all the calculations. Derived variables are:\nV564624 = 8;\nV470432 = 8;\n\nNow we have finished this problem. ANSWER:\nV564624, V470432\n", "role": "assistant" } ]

[ "V599117" ]

[ { "content": "<context>\nassign V599117 = V071921 - 1. assign V555311 = V522390 - 1. assign V593979 = V201741. assign V609580 = V323859 + 1. assign V932599 = V057692. assign V527489 = V254673 + 1. assign V505470 = V437496. assign V317591 = V317812 + 1. assign V626951 = V298684 + 1. assign V278107 = V168325 + 1. assign V427951 = V930705. assign V746688 = V347034 - 1. assign V203355 = V256187 - 1. assign V809999 = V044518. assign V205690 = V733810 + 1. assign V278003 = V746688. assign V638425 = V854008 + 1. assign V904169 = V979704. assign V928053 = V854008. assign V577795 = V870573 + 1. assign V201741 = V919156 - 1. assign V254673 = V347034 - 1. assign V834217 = V684813. assign V190123 = V168325 + 1. assign V310229 = V919156 - 1. assign V255005 = V254673 - 1. assign V817585 = V832144 + 1. assign V359167 = V466380. assign V516221 = V147030. assign V101602 = V619196 - 1. assign V699776 = V633199. assign V478693 = V919156 - 1. assign V308101 = V539836 - 1. assign V437496 = V044518 + 1. assign V919156 = V051724 - 1. assign V409614 = V809999 - 1. assign V287628 = V818293 + 1. assign V264201 = V839650 - 1. assign V819358 = V960902 + 1. assign V378665 = V044518. assign V529196 = V677887 - 1. assign V105403 = V622379 - 1. assign V136826 = V819358 - 1. assign V564466 = V324039 - 1. assign V110502 = V870573 + 1. assign V168325 = V832144 + 1. assign V256187 = V253135. assign V195036 = V619196 + 1. assign V693534 = V074593 - 1. assign V614075 = V818293 - 1. assign V958790 = V979704. assign V434314 = V529196 + 1. assign V685336 = V301904. assign V323859 = V378665 - 1. assign V122289 = V930705 - 1. assign V539836 = V928053 - 1. assign V367618 = V979704 - 1. assign V476019 = V317029. assign V940296 = V746688 - 1. assign V185828 = V751853 - 1. assign V242579 = V168325. assign V733810 = V930705 - 1. assign V499870 = V756232. assign V457791 = V488966 + 1. assign V466380 = V529196. assign V046020 = V122289 + 1. assign V145993 = V984846 - 1. assign V320699 = V571837 + 1. assign V984846 = V312815 - 1. assign V960902 = V254673. assign V393129 = V317591 + 1. assign V056001 = V320699. assign V192803 = V499870 + 1. assign V044518 = V254673. assign V038949 = V287628 - 1. assign V377050 = V254673. assign V259188 = V692214 + 1. assign V948396 = V839650. assign V854008 = V320699 + 1. assign V332754 = V854008. assign V692214 = V196315. assign V391026 = V278107 - 1. assign V688313 = V832144 + 1. assign V619196 = V135732 - 1. assign V164532 = V814342. assign V813176 = V099295 - 1. assign V436157 = V809999 + 1. assign V253135 = V474101 + 1. assign V347034 = V554821 + 1. assign V083556 = V688313 - 1. assign V350564 = V255005 - 1. assign V345220 = V928053 - 1. assign V127915 = V378665. assign V244814 = V147030 + 1. assign V348727 = V320699. assign V075746 = V312815. assign V112838 = V110502 + 1. assign V196315 = V347034. assign V230794 = V948396 - 1. assign V317812 = V571837 + 1. assign V042541 = V345220 + 1. assign V180039 = V298684 + 1. assign V312815 = V571837 + 1. assign V839650 = V255005. assign V811475 = V255005 + 1. assign V534232 = V242579 + 1. assign V470512 = V057307 + 1. assign V436107 = V684813 + 1. assign V298684 = V044518. assign V324039 = V693534 + 1. assign V755534 = V348727. assign V689854 = V622379 + 1. assign V816204 = V320699. assign V650093 = V650345 - 1. assign V343662 = V145993 + 1. assign V571837 = V347034 + 1. assign V051724 = V437496 + 1. assign V004643 = V099295 + 1. assign V756232 = V928053 + 1. assign V841365 = V930705 - 1. assign V185131 = V110502. assign V364858 = V428943 - 1. assign V071921 = 4. assign V428943 = V255005. assign V317029 = V434314 + 1. assign V832144 = V854008 + 1. assign V687964 = V278107. assign V633199 = V242579 + 1. assign V686485 = V203355 + 1. assign V074593 = V811475. assign V953563 = V474101. assign V466538 = V686485 - 1. assign V376455 = V677887. assign V930705 = V854008 + 1. assign V364245 = V345220 - 1. assign V592317 = V168325 + 1. assign V135402 = V308101 + 1. assign V801567 = V317812. assign V870573 = V490367 + 1. assign V814342 = V960902 + 1. assign V057692 = V505470. assign V622379 = V350564. assign V953958 = V164532. assign V654310 = V733810 - 1. assign V903884 = V308101 - 1. assign V147030 = V854008. assign V474101 = V841365 + 1. assign V751853 = V841365 + 1. assign V818293 = V539836 + 1. assign V057307 = V254673 - 1. assign V099295 = V554821 - 1. assign V674429 = V409614 + 1. assign V622117 = V256187 + 1. assign V490367 = V168325 + 1. assign V488966 = V505470 - 1. assign V626490 = V539836 + 1. assign V888041 = V960902 + 1. assign V684813 = V677887. assign V949909 = V317029 + 1. assign V224459 = V408362 + 1. assign V408362 = V505470 - 1. assign V629275 = V505470 - 1. assign V135732 = V317812 - 1. assign V536695 = V818293. assign V522390 = V320699. assign V602661 = V960902 + 1. assign V677887 = V312815 + 1. assign V650345 = V320699 - 1. assign V691072 = V364858 + 1. assign V301904 = V684813. assign V353051 = V364858 - 1. assign V979704 = V928053 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V599117 = V071921 - 1. assign V555311 = V522390 - 1. assign V593979 = V201741. assign V609580 = V323859 + 1. assign V932599 = V057692. assign V527489 = V254673 + 1. assign V505470 = V437496. assign V317591 = V317812 + 1. assign V626951 = V298684 + 1. assign V278107 = V168325 + 1. assign V427951 = V930705. assign V746688 = V347034 - 1. assign V203355 = V256187 - 1. assign V809999 = V044518. assign V205690 = V733810 + 1. assign V278003 = V746688. assign V638425 = V854008 + 1. assign V904169 = V979704. assign V928053 = V854008. assign V577795 = V870573 + 1. assign V201741 = V919156 - 1. assign V254673 = V347034 - 1. assign V834217 = V684813. assign V190123 = V168325 + 1. assign V310229 = V919156 - 1. assign V255005 = V254673 - 1. assign V817585 = V832144 + 1. assign V359167 = V466380. assign V516221 = V147030. assign V101602 = V619196 - 1. assign V699776 = V633199. assign V478693 = V919156 - 1. assign V308101 = V539836 - 1. assign V437496 = V044518 + 1. assign V919156 = V051724 - 1. assign V409614 = V809999 - 1. assign V287628 = V818293 + 1. assign V264201 = V839650 - 1. assign V819358 = V960902 + 1. assign V378665 = V044518. assign V529196 = V677887 - 1. assign V105403 = V622379 - 1. assign V136826 = V819358 - 1. assign V564466 = V324039 - 1. assign V110502 = V870573 + 1. assign V168325 = V832144 + 1. assign V256187 = V253135. assign V195036 = V619196 + 1. assign V693534 = V074593 - 1. assign V614075 = V818293 - 1. assign V958790 = V979704. assign V434314 = V529196 + 1. assign V685336 = V301904. assign V323859 = V378665 - 1. assign V122289 = V930705 - 1. assign V539836 = V928053 - 1. assign V367618 = V979704 - 1. assign V476019 = V317029. assign V940296 = V746688 - 1. assign V185828 = V751853 - 1. assign V242579 = V168325. assign V733810 = V930705 - 1. assign V499870 = V756232. assign V457791 = V488966 + 1. assign V466380 = V529196. assign V046020 = V122289 + 1. assign V145993 = V984846 - 1. assign V320699 = V571837 + 1. assign V984846 = V312815 - 1. assign V960902 = V254673. assign V393129 = V317591 + 1. assign V056001 = V320699. assign V192803 = V499870 + 1. assign V044518 = V254673. assign V038949 = V287628 - 1. assign V377050 = V254673. assign V259188 = V692214 + 1. assign V948396 = V839650. assign V854008 = V320699 + 1. assign V332754 = V854008. assign V692214 = V196315. assign V391026 = V278107 - 1. assign V688313 = V832144 + 1. assign V619196 = V135732 - 1. assign V164532 = V814342. assign V813176 = V099295 - 1. assign V436157 = V809999 + 1. assign V253135 = V474101 + 1. assign V347034 = V554821 + 1. assign V083556 = V688313 - 1. assign V350564 = V255005 - 1. assign V345220 = V928053 - 1. assign V127915 = V378665. assign V244814 = V147030 + 1. assign V348727 = V320699. assign V075746 = V312815. assign V112838 = V110502 + 1. assign V196315 = V347034. assign V230794 = V948396 - 1. assign V317812 = V571837 + 1. assign V042541 = V345220 + 1. assign V180039 = V298684 + 1. assign V312815 = V571837 + 1. assign V839650 = V255005. assign V811475 = V255005 + 1. assign V534232 = V242579 + 1. assign V470512 = V057307 + 1. assign V436107 = V684813 + 1. assign V298684 = V044518. assign V324039 = V693534 + 1. assign V755534 = V348727. assign V689854 = V622379 + 1. assign V816204 = V320699. assign V650093 = V650345 - 1. assign V343662 = V145993 + 1. assign V571837 = V347034 + 1. assign V051724 = V437496 + 1. assign V004643 = V099295 + 1. assign V756232 = V928053 + 1. assign V841365 = V930705 - 1. assign V185131 = V110502. assign V364858 = V428943 - 1. assign V071921 = 4. assign V428943 = V255005. assign V317029 = V434314 + 1. assign V832144 = V854008 + 1. assign V687964 = V278107. assign V633199 = V242579 + 1. assign V686485 = V203355 + 1. assign V074593 = V811475. assign V953563 = V474101. assign V466538 = V686485 - 1. assign V376455 = V677887. assign V930705 = V854008 + 1. assign V364245 = V345220 - 1. assign V592317 = V168325 + 1. assign V135402 = V308101 + 1. assign V801567 = V317812. assign V870573 = V490367 + 1. assign V814342 = V960902 + 1. assign V057692 = V505470. assign V622379 = V350564. assign V953958 = V164532. assign V654310 = V733810 - 1. assign V903884 = V308101 - 1. assign V147030 = V854008. assign V474101 = V841365 + 1. assign V751853 = V841365 + 1. assign V818293 = V539836 + 1. assign V057307 = V254673 - 1. assign V099295 = V554821 - 1. assign V674429 = V409614 + 1. assign V622117 = V256187 + 1. assign V490367 = V168325 + 1. assign V488966 = V505470 - 1. assign V626490 = V539836 + 1. assign V888041 = V960902 + 1. assign V684813 = V677887. assign V949909 = V317029 + 1. assign V224459 = V408362 + 1. assign V408362 = V505470 - 1. assign V629275 = V505470 - 1. assign V135732 = V317812 - 1. assign V536695 = V818293. assign V522390 = V320699. assign V602661 = V960902 + 1. assign V677887 = V312815 + 1. assign V650345 = V320699 - 1. assign V691072 = V364858 + 1. assign V301904 = V684813. assign V353051 = V364858 - 1. assign V979704 = V928053 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV071921 = 4;\n\nFrom these direct assignment(s), we have: \nV599117 = V071921 - 1 = 4 - 1 =3;\nNo other variables can be derived from V599117;\nNo other variables can be derived from V071921;\n\nNow we have done all the calculations. Derived variables are:\nV071921 = 4;\nV599117 = 3;\n\nNow we have finished this problem. ANSWER:\nV599117\n", "role": "assistant" } ]

[ "V297652" ]

[ { "content": "<context>\nassign V232374 = V036603 + 1. assign V142692 = V754742 - 1. assign V965822 = V663128 + 1. assign V249177 = V576314 - 1. assign V036603 = V740002 - 1. assign V672079 = V562631. assign V558210 = V734974 + 1. assign V884532 = V665500 - 1. assign V583628 = V572855 - 1. assign V703658 = V021093 - 1. assign V788496 = V197040 - 1. assign V317147 = V606601. assign V884444 = V249964 + 1. assign V124276 = V981805 - 1. assign V734974 = V249964 + 1. assign V542938 = V517172 + 1. assign V825500 = V379121. assign V816303 = V818721 + 1. assign V852308 = V583628. assign V146742 = V386782 - 1. assign V162906 = V602314 - 1. assign V887192 = V576587. assign V471594 = V036603 + 1. assign V300552 = V498507. assign V665500 = V800099 - 1. assign V754358 = V137352. assign V654453 = V378386. assign V868735 = V825500 + 1. assign V608722 = V232374 + 1. assign V989163 = V470194 - 1. assign V294198 = V800099 - 1. assign V003689 = V379121. assign V643119 = V989163. assign V397159 = V572855. assign V245914 = V517172 - 1. assign V963372 = V830031 - 1. assign V572855 = V861131 - 1. assign V301218 = V477861. assign V861131 = V602314 + 1. assign V677283 = V606601 - 1. assign V189091 = V770416 - 1. assign V444850 = V457341 + 1. assign V079688 = V245914. assign V754742 = V800099 + 1. assign V889732 = V249964 - 1. assign V197040 = V679581. assign V068519 = V124276 + 1. assign V606601 = V305283 + 1. assign V866079 = V011985 - 1. assign V429561 = V517172 - 1. assign V611025 = V172822 - 1. assign V520438 = V272001 - 1. assign V627274 = V305283 + 1. assign V076840 = V884444 + 1. assign V911583 = V519011 - 1. assign V645491 = V457341. assign V095778 = V884532 + 1. assign V659255 = V249964 - 1. assign V941751 = V076840. assign V705940 = V562631 - 1. assign V297652 = V141416 + 1. assign V607531 = V602314 + 1. assign V591406 = V232374. assign V984763 = V416726 - 1. assign V576314 = V416726 + 1. assign V465972 = V830031 + 1. assign V602314 = V734974. assign V610727 = V245914 + 1. assign V826992 = V517172. assign V981805 = V734974 + 1. assign V174446 = V188162 - 1. assign V618971 = V174446. assign V497355 = V484835 + 1. assign V141416 = 7. assign V297546 = V172907. assign V498507 = V517172. assign V576587 = V659255. assign V607299 = V178583 - 1. assign V823932 = V826992 - 1. assign V202906 = V645491 - 1. assign V011985 = V627274 + 1. assign V774281 = V814372 + 1. assign V679581 = V576587 - 1. assign V653987 = V608722 - 1. assign V015514 = V817566. assign V764569 = V562631 - 1. assign V172822 = V562631 - 1. assign V324763 = V511393 - 1. assign V517172 = V249964 + 1. assign V134403 = V189091 - 1. assign V224075 = V814372. assign V282395 = V645491. assign V050695 = V004990 - 1. assign V927316 = V659255 + 1. assign V419982 = V249177. assign V888653 = V889732 + 1. assign V906579 = V245914. assign V169599 = V576314. assign V779558 = V542938 + 1. assign V476609 = V172907. assign V567054 = V015514 - 1. assign V291502 = V814372 + 1. assign V511393 = V957911 - 1. assign V203342 = V963372 + 1. assign V188435 = V981805 - 1. assign V769530 = V068519 - 1. assign V664121 = V137352 - 1. assign V009574 = V124276. assign V531639 = V232374 + 1. assign V819940 = V142692 - 1. assign V371282 = V517172 - 1. assign V060540 = V011985 - 1. assign V225778 = V011985. assign V178583 = V906579 - 1. assign V781766 = V378386 + 1. assign V519011 = V011985 + 1. assign V711428 = V576314 + 1. assign V830031 = V011985 - 1. assign V401247 = V068519. assign V579826 = V830031 - 1. assign V896270 = V740002. assign V640342 = V540928 + 1. assign V069896 = V172822. assign V740002 = V602314 + 1. assign V490605 = V825500 + 1. assign V066237 = V498422 + 1. assign V137352 = V245914. assign V416726 = V659255 + 1. assign V540928 = V511393. assign V188067 = V060540. assign V379121 = V562631 + 1. assign V746248 = V887192 + 1. assign V530474 = V294198 + 1. assign V834292 = V679581 + 1. assign V966298 = V703658 + 1. assign V259526 = V172822. assign V528004 = V249964 - 1. assign V612698 = V770416. assign V562631 = V602314 - 1. assign V470194 = V770416 + 1. assign V378386 = V884444 + 1. assign V272001 = V981805 - 1. assign V172907 = V826992 + 1. assign V494098 = V579826. assign V122616 = V940044. assign V940044 = V036603 - 1. assign V510574 = V659255 - 1. assign V800099 = V981805. assign V484835 = V659255 + 1. assign V498422 = V861131 - 1. assign V794710 = V174446 + 1. assign V814372 = V734974 + 1. assign V597894 = V562631 - 1. assign V477861 = V772012. assign V674475 = V887192. assign V378396 = V888653. assign V457341 = V188162 + 1. assign V004990 = V294198. assign V957911 = V470194 + 1. assign V663128 = V378386 - 1. assign V828475 = V510574. assign V823528 = V607531 - 1. assign V305283 = V294198. assign V652346 = V659255. assign V817566 = V189091 + 1. assign V101109 = V397159 + 1. assign V188162 = V770416 - 1. assign V021093 = V602314 - 1. assign V772012 = V672079 - 1. assign V770416 = V576587 + 1. assign V386782 = V602314 - 1. assign V818721 = V672079.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V232374 = V036603 + 1. assign V142692 = V754742 - 1. assign V965822 = V663128 + 1. assign V249177 = V576314 - 1. assign V036603 = V740002 - 1. assign V672079 = V562631. assign V558210 = V734974 + 1. assign V884532 = V665500 - 1. assign V583628 = V572855 - 1. assign V703658 = V021093 - 1. assign V788496 = V197040 - 1. assign V317147 = V606601. assign V884444 = V249964 + 1. assign V124276 = V981805 - 1. assign V734974 = V249964 + 1. assign V542938 = V517172 + 1. assign V825500 = V379121. assign V816303 = V818721 + 1. assign V852308 = V583628. assign V146742 = V386782 - 1. assign V162906 = V602314 - 1. assign V887192 = V576587. assign V471594 = V036603 + 1. assign V300552 = V498507. assign V665500 = V800099 - 1. assign V754358 = V137352. assign V654453 = V378386. assign V868735 = V825500 + 1. assign V608722 = V232374 + 1. assign V989163 = V470194 - 1. assign V294198 = V800099 - 1. assign V003689 = V379121. assign V643119 = V989163. assign V397159 = V572855. assign V245914 = V517172 - 1. assign V963372 = V830031 - 1. assign V572855 = V861131 - 1. assign V301218 = V477861. assign V861131 = V602314 + 1. assign V677283 = V606601 - 1. assign V189091 = V770416 - 1. assign V444850 = V457341 + 1. assign V079688 = V245914. assign V754742 = V800099 + 1. assign V889732 = V249964 - 1. assign V197040 = V679581. assign V068519 = V124276 + 1. assign V606601 = V305283 + 1. assign V866079 = V011985 - 1. assign V429561 = V517172 - 1. assign V611025 = V172822 - 1. assign V520438 = V272001 - 1. assign V627274 = V305283 + 1. assign V076840 = V884444 + 1. assign V911583 = V519011 - 1. assign V645491 = V457341. assign V095778 = V884532 + 1. assign V659255 = V249964 - 1. assign V941751 = V076840. assign V705940 = V562631 - 1. assign V297652 = V141416 + 1. assign V607531 = V602314 + 1. assign V591406 = V232374. assign V984763 = V416726 - 1. assign V576314 = V416726 + 1. assign V465972 = V830031 + 1. assign V602314 = V734974. assign V610727 = V245914 + 1. assign V826992 = V517172. assign V981805 = V734974 + 1. assign V174446 = V188162 - 1. assign V618971 = V174446. assign V497355 = V484835 + 1. assign V141416 = 7. assign V297546 = V172907. assign V498507 = V517172. assign V576587 = V659255. assign V607299 = V178583 - 1. assign V823932 = V826992 - 1. assign V202906 = V645491 - 1. assign V011985 = V627274 + 1. assign V774281 = V814372 + 1. assign V679581 = V576587 - 1. assign V653987 = V608722 - 1. assign V015514 = V817566. assign V764569 = V562631 - 1. assign V172822 = V562631 - 1. assign V324763 = V511393 - 1. assign V517172 = V249964 + 1. assign V134403 = V189091 - 1. assign V224075 = V814372. assign V282395 = V645491. assign V050695 = V004990 - 1. assign V927316 = V659255 + 1. assign V419982 = V249177. assign V888653 = V889732 + 1. assign V906579 = V245914. assign V169599 = V576314. assign V779558 = V542938 + 1. assign V476609 = V172907. assign V567054 = V015514 - 1. assign V291502 = V814372 + 1. assign V511393 = V957911 - 1. assign V203342 = V963372 + 1. assign V188435 = V981805 - 1. assign V769530 = V068519 - 1. assign V664121 = V137352 - 1. assign V009574 = V124276. assign V531639 = V232374 + 1. assign V819940 = V142692 - 1. assign V371282 = V517172 - 1. assign V060540 = V011985 - 1. assign V225778 = V011985. assign V178583 = V906579 - 1. assign V781766 = V378386 + 1. assign V519011 = V011985 + 1. assign V711428 = V576314 + 1. assign V830031 = V011985 - 1. assign V401247 = V068519. assign V579826 = V830031 - 1. assign V896270 = V740002. assign V640342 = V540928 + 1. assign V069896 = V172822. assign V740002 = V602314 + 1. assign V490605 = V825500 + 1. assign V066237 = V498422 + 1. assign V137352 = V245914. assign V416726 = V659255 + 1. assign V540928 = V511393. assign V188067 = V060540. assign V379121 = V562631 + 1. assign V746248 = V887192 + 1. assign V530474 = V294198 + 1. assign V834292 = V679581 + 1. assign V966298 = V703658 + 1. assign V259526 = V172822. assign V528004 = V249964 - 1. assign V612698 = V770416. assign V562631 = V602314 - 1. assign V470194 = V770416 + 1. assign V378386 = V884444 + 1. assign V272001 = V981805 - 1. assign V172907 = V826992 + 1. assign V494098 = V579826. assign V122616 = V940044. assign V940044 = V036603 - 1. assign V510574 = V659255 - 1. assign V800099 = V981805. assign V484835 = V659255 + 1. assign V498422 = V861131 - 1. assign V794710 = V174446 + 1. assign V814372 = V734974 + 1. assign V597894 = V562631 - 1. assign V477861 = V772012. assign V674475 = V887192. assign V378396 = V888653. assign V457341 = V188162 + 1. assign V004990 = V294198. assign V957911 = V470194 + 1. assign V663128 = V378386 - 1. assign V828475 = V510574. assign V823528 = V607531 - 1. assign V305283 = V294198. assign V652346 = V659255. assign V817566 = V189091 + 1. assign V101109 = V397159 + 1. assign V188162 = V770416 - 1. assign V021093 = V602314 - 1. assign V772012 = V672079 - 1. assign V770416 = V576587 + 1. assign V386782 = V602314 - 1. assign V818721 = V672079.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV141416 = 7;\n\nFrom these direct assignment(s), we have: \nV297652 = V141416 + 1 = 7 + 1 =8;\nNo other variables can be derived from V297652;\nNo other variables can be derived from V141416;\n\nNow we have done all the calculations. Derived variables are:\nV141416 = 7;\nV297652 = 8;\n\nNow we have finished this problem. ANSWER:\nV297652\n", "role": "assistant" } ]

[ "V957850" ]

[ { "content": "<context>\nassign V138319 = V594440 - 1. assign V304051 = V201104. assign V525227 = V310249. assign V439676 = V888381 + 1. assign V664028 = V714888. assign V878792 = V815907. assign V841768 = V681159. assign V471465 = V325382 - 1. assign V390077 = V920493. assign V923133 = V820453. assign V714888 = V827015 + 1. assign V167194 = V721150. assign V281653 = V439881. assign V632006 = V180799 + 1. assign V820453 = V613339 - 1. assign V489871 = V186167 + 1. assign V143596 = V714888 - 1. assign V460043 = V792755. assign V469002 = V355744 + 1. assign V235179 = V421911 - 1. assign V369115 = V878792. assign V759493 = V421911 - 1. assign V671806 = V940258 - 1. assign V185449 = V129299 + 1. assign V175510 = V374913 - 1. assign V237897 = V820080 - 1. assign V820080 = V374913 + 1. assign V514573 = V712256 - 1. assign V815907 = V671806. assign V508456 = V097124 + 1. assign V746856 = V649004 - 1. assign V613339 = V548431 + 1. assign V651547 = V446725 + 1. assign V450726 = V608093 - 1. assign V960189 = V446725 + 1. assign V268463 = V218911 + 1. assign V418466 = V473822 + 1. assign V943858 = V208896 + 1. assign V360657 = V183887. assign V378606 = V557478 + 1. assign V918759 = V489871 - 1. assign V292904 = V103401 - 1. assign V429122 = V830067 - 1. assign V473822 = V608093 + 1. assign V203536 = V712256 + 1. assign V143471 = V719794 + 1. assign V721150 = V514573 - 1. assign V712421 = V208896 - 1. assign V055098 = V332728. assign V548431 = V738670. assign V325382 = V324338 - 1. assign V974267 = V098274 + 1. assign V261453 = V712256 - 1. assign V836801 = V664028. assign V264499 = V175510 + 1. assign V726034 = V608093. assign V309825 = V229177 - 1. assign V557478 = V712256. assign V508813 = V473822 + 1. assign V681159 = V418466 - 1. assign V951629 = V886461 - 1. assign V186167 = V888381 - 1. assign V998468 = V632006 + 1. assign V004998 = V573080 + 1. assign V684683 = V489871. assign V295709 = V514573. assign V738670 = V886461 - 1. assign V930004 = 6. assign V961392 = V820080. assign V768037 = V827015. assign V915003 = V123324. assign V782819 = V681159 + 1. assign V764377 = V167194. assign V712256 = V473822 + 1. assign V157350 = V888381. assign V649004 = V738670 + 1. assign V885536 = V079367. assign V183887 = V974267. assign V882759 = V613339. assign V692020 = V290416 + 1. assign V270019 = V497434 + 1. assign V872863 = V608093 + 1. assign V907887 = V920493 + 1. assign V044195 = V721150 - 1. assign V129299 = V281653 + 1. assign V376018 = V311059 - 1. assign V421911 = V374913. assign V573080 = V907887. assign V940258 = V738670 + 1. assign V746718 = V103401. assign V904046 = V235179. assign V830067 = V310249 - 1. assign V197559 = V414629 + 1. assign V311059 = V872863 - 1. assign V361444 = V886461 - 1. assign V753635 = V671806 - 1. assign V180799 = V428165 + 1. assign V087942 = V943858. assign V052167 = V888381. assign V294045 = V690724 - 1. assign V193269 = V613339 + 1. assign V956233 = V712256 + 1. assign V199914 = V943858 - 1. assign V034536 = V804413 + 1. assign V594440 = V180799 + 1. assign V608093 = V103401 + 1. assign V318168 = V943858 + 1. assign V711599 = V820080 + 1. assign V804413 = V057028. assign V957850 = V930004 + 1. assign V353543 = V123324 - 1. assign V792755 = V103401. assign V290416 = V726034 + 1. assign V297048 = V746718 - 1. assign V043988 = V746718 + 1. assign V446725 = V318168 + 1. assign V296805 = V229177 - 1. assign V439881 = V374913 + 1. assign V695949 = V473822. assign V232676 = V557478. assign V201104 = V439881. assign V428165 = V310249 - 1. assign V439474 = V421911 + 1. assign V816849 = V421911 + 1. assign V719794 = V514573 - 1. assign V850942 = V759493. assign V016523 = V681159 + 1. assign V414629 = V264499 + 1. assign V310249 = V473822. assign V473120 = V961392 - 1. assign V123324 = V439474 + 1. assign V293862 = V324338. assign V098274 = V608093 - 1. assign V042048 = V534741 + 1. assign V683777 = V205303 + 1. assign V534741 = V355744. assign V355744 = V714888 - 1. assign V260551 = V649004 + 1. assign V725092 = V956233 + 1. assign V332728 = V608093 - 1. assign V388130 = V143596 + 1. assign V920493 = V557478. assign V218911 = V296805 + 1. assign V334321 = V293862 + 1. assign V208388 = V292904 - 1. assign V504231 = V943858. assign V103035 = V682208 - 1. assign V591781 = V079367 + 1. assign V417356 = V830067 + 1. assign V546824 = V388130. assign V472071 = V264499 + 1. assign V079367 = V872863 - 1. assign V324338 = V175510 - 1. assign V057028 = V186167 - 1. assign V886461 = V608093 + 1. assign V512309 = V920493. assign V311931 = V514573. assign V497434 = V471465. assign V066773 = V830067. assign V097124 = V918759 + 1. assign V557253 = V332728 + 1. assign V888381 = V738670 - 1. assign V827015 = V361444 - 1. assign V205303 = V208388 + 1. assign V764374 = V882759 + 1. assign V663431 = V759493 - 1. assign V374913 = V361444 + 1. assign V682208 = V229177. assign V037348 = V514573 + 1. assign V208896 = V514573 - 1. assign V690724 = V940258 - 1. assign V229177 = V888381.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V138319 = V594440 - 1. assign V304051 = V201104. assign V525227 = V310249. assign V439676 = V888381 + 1. assign V664028 = V714888. assign V878792 = V815907. assign V841768 = V681159. assign V471465 = V325382 - 1. assign V390077 = V920493. assign V923133 = V820453. assign V714888 = V827015 + 1. assign V167194 = V721150. assign V281653 = V439881. assign V632006 = V180799 + 1. assign V820453 = V613339 - 1. assign V489871 = V186167 + 1. assign V143596 = V714888 - 1. assign V460043 = V792755. assign V469002 = V355744 + 1. assign V235179 = V421911 - 1. assign V369115 = V878792. assign V759493 = V421911 - 1. assign V671806 = V940258 - 1. assign V185449 = V129299 + 1. assign V175510 = V374913 - 1. assign V237897 = V820080 - 1. assign V820080 = V374913 + 1. assign V514573 = V712256 - 1. assign V815907 = V671806. assign V508456 = V097124 + 1. assign V746856 = V649004 - 1. assign V613339 = V548431 + 1. assign V651547 = V446725 + 1. assign V450726 = V608093 - 1. assign V960189 = V446725 + 1. assign V268463 = V218911 + 1. assign V418466 = V473822 + 1. assign V943858 = V208896 + 1. assign V360657 = V183887. assign V378606 = V557478 + 1. assign V918759 = V489871 - 1. assign V292904 = V103401 - 1. assign V429122 = V830067 - 1. assign V473822 = V608093 + 1. assign V203536 = V712256 + 1. assign V143471 = V719794 + 1. assign V721150 = V514573 - 1. assign V712421 = V208896 - 1. assign V055098 = V332728. assign V548431 = V738670. assign V325382 = V324338 - 1. assign V974267 = V098274 + 1. assign V261453 = V712256 - 1. assign V836801 = V664028. assign V264499 = V175510 + 1. assign V726034 = V608093. assign V309825 = V229177 - 1. assign V557478 = V712256. assign V508813 = V473822 + 1. assign V681159 = V418466 - 1. assign V951629 = V886461 - 1. assign V186167 = V888381 - 1. assign V998468 = V632006 + 1. assign V004998 = V573080 + 1. assign V684683 = V489871. assign V295709 = V514573. assign V738670 = V886461 - 1. assign V930004 = 6. assign V961392 = V820080. assign V768037 = V827015. assign V915003 = V123324. assign V782819 = V681159 + 1. assign V764377 = V167194. assign V712256 = V473822 + 1. assign V157350 = V888381. assign V649004 = V738670 + 1. assign V885536 = V079367. assign V183887 = V974267. assign V882759 = V613339. assign V692020 = V290416 + 1. assign V270019 = V497434 + 1. assign V872863 = V608093 + 1. assign V907887 = V920493 + 1. assign V044195 = V721150 - 1. assign V129299 = V281653 + 1. assign V376018 = V311059 - 1. assign V421911 = V374913. assign V573080 = V907887. assign V940258 = V738670 + 1. assign V746718 = V103401. assign V904046 = V235179. assign V830067 = V310249 - 1. assign V197559 = V414629 + 1. assign V311059 = V872863 - 1. assign V361444 = V886461 - 1. assign V753635 = V671806 - 1. assign V180799 = V428165 + 1. assign V087942 = V943858. assign V052167 = V888381. assign V294045 = V690724 - 1. assign V193269 = V613339 + 1. assign V956233 = V712256 + 1. assign V199914 = V943858 - 1. assign V034536 = V804413 + 1. assign V594440 = V180799 + 1. assign V608093 = V103401 + 1. assign V318168 = V943858 + 1. assign V711599 = V820080 + 1. assign V804413 = V057028. assign V957850 = V930004 + 1. assign V353543 = V123324 - 1. assign V792755 = V103401. assign V290416 = V726034 + 1. assign V297048 = V746718 - 1. assign V043988 = V746718 + 1. assign V446725 = V318168 + 1. assign V296805 = V229177 - 1. assign V439881 = V374913 + 1. assign V695949 = V473822. assign V232676 = V557478. assign V201104 = V439881. assign V428165 = V310249 - 1. assign V439474 = V421911 + 1. assign V816849 = V421911 + 1. assign V719794 = V514573 - 1. assign V850942 = V759493. assign V016523 = V681159 + 1. assign V414629 = V264499 + 1. assign V310249 = V473822. assign V473120 = V961392 - 1. assign V123324 = V439474 + 1. assign V293862 = V324338. assign V098274 = V608093 - 1. assign V042048 = V534741 + 1. assign V683777 = V205303 + 1. assign V534741 = V355744. assign V355744 = V714888 - 1. assign V260551 = V649004 + 1. assign V725092 = V956233 + 1. assign V332728 = V608093 - 1. assign V388130 = V143596 + 1. assign V920493 = V557478. assign V218911 = V296805 + 1. assign V334321 = V293862 + 1. assign V208388 = V292904 - 1. assign V504231 = V943858. assign V103035 = V682208 - 1. assign V591781 = V079367 + 1. assign V417356 = V830067 + 1. assign V546824 = V388130. assign V472071 = V264499 + 1. assign V079367 = V872863 - 1. assign V324338 = V175510 - 1. assign V057028 = V186167 - 1. assign V886461 = V608093 + 1. assign V512309 = V920493. assign V311931 = V514573. assign V497434 = V471465. assign V066773 = V830067. assign V097124 = V918759 + 1. assign V557253 = V332728 + 1. assign V888381 = V738670 - 1. assign V827015 = V361444 - 1. assign V205303 = V208388 + 1. assign V764374 = V882759 + 1. assign V663431 = V759493 - 1. assign V374913 = V361444 + 1. assign V682208 = V229177. assign V037348 = V514573 + 1. assign V208896 = V514573 - 1. assign V690724 = V940258 - 1. assign V229177 = V888381.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV930004 = 6;\n\nFrom these direct assignment(s), we have: \nV957850 = V930004 + 1 = 6 + 1 =7;\nNo other variables can be derived from V957850;\nNo other variables can be derived from V930004;\n\nNow we have done all the calculations. Derived variables are:\nV930004 = 6;\nV957850 = 7;\n\nNow we have finished this problem. ANSWER:\nV957850\n", "role": "assistant" } ]

[ "V205101", "V365349" ]

[ { "content": "<context>\nassign V789354 = V557337 - 1. assign V622194 = V557337. assign V391338 = V185170. assign V796925 = V774807 + 1. assign V827922 = V434947 + 1. assign V022627 = V274015 + 1. assign V378485 = V631440 - 1. assign V654851 = V952555. assign V893324 = V229781 - 1. assign V213002 = V591540. assign V111168 = V338034. assign V339287 = V957016 - 1. assign V674761 = V935949. assign V504968 = V594642 + 1. assign V046003 = V434947 + 1. assign V735716 = V946131. assign V681412 = V229781. assign V323913 = V061007 + 1. assign V212336 = V713598 + 1. assign V806388 = V101620 - 1. assign V187609 = V774807 + 1. assign V761689 = V693054. assign V208325 = V767384 - 1. assign V027101 = V175139 + 1. assign V170060 = V912081 + 1. assign V582161 = V693054 - 1. assign V873010 = V185170. assign V138010 = V173604 + 1. assign V809673 = V891473 + 1. assign V218221 = V989065 - 1. assign V027644 = V187609 - 1. assign V665868 = V594642 - 1. assign V069880 = V887114 - 1. assign V070144 = V952645. assign V435099 = V913287. assign V147171 = V827922. assign V205101 = 7. assign V233917 = V069880. assign V703599 = V713598. assign V160489 = V208325 + 1. assign V912081 = V626074 + 1. assign V733078 = V138010. assign V963081 = V147171. assign V061007 = V761689 - 1. assign V513314 = V171363 + 1. assign V764534 = V786286 + 1. assign V950061 = V190956. assign V948040 = V952645. assign V530903 = V631440. assign V408947 = V339287 + 1. assign V098528 = V053905. assign V208442 = V175139 + 1. assign V594642 = V530903. assign V823739 = V631440. assign V053905 = V530903 + 1. assign V333840 = V652399. assign V439274 = V187609. assign V690520 = V827922 + 1. assign V631440 = V887114 + 1. assign V496881 = V584986. assign V432235 = V170060. assign V693054 = V041174 + 1. assign V557337 = V022627. assign V521244 = V027644 + 1. assign V694060 = V786286 - 1. assign V359499 = V041174 + 1. assign V792542 = V714898. assign V894457 = V044780 - 1. assign V429101 = V952555 - 1. assign V677050 = V190956 - 1. assign V365349 = V205101. assign V866179 = V796925. assign V778367 = V726269 + 1. assign V190956 = V111168. assign V805547 = V851958. assign V891473 = V378485. assign V615167 = V787654 - 1. assign V705308 = V323913 + 1. assign V093706 = V626074 - 1. assign V029351 = V129819 + 1. assign V677564 = V753645 - 1. assign V651376 = V582161 + 1. assign V576950 = V027644. assign V584986 = V111168 - 1. assign V434947 = V774807. assign V963702 = V591540 + 1. assign V101620 = V187609 + 1. assign V820916 = V989065. assign V238264 = V631440 + 1. assign V989065 = V434947. assign V682911 = V496881 + 1. assign V813289 = V041174 - 1. assign V852393 = V767384 + 1. assign V966563 = V626074 - 1. assign V823253 = V690520 - 1. assign V443200 = V208325 - 1. assign V323313 = V690520 - 1. assign V026768 = V631440 - 1. assign V173604 = V496881 + 1. assign V895426 = V946131 - 1. assign V864334 = V061007 + 1. assign V767384 = V274015. assign V652399 = V774807 + 1. assign V601635 = V823739 - 1. assign V591540 = V713598 + 1. assign V713598 = V185170. assign V726269 = V391338 - 1. assign V843588 = V693054 - 1. assign V679103 = V584986 - 1. assign V787654 = V387996 + 1. assign V913287 = V891473 + 1. assign V851958 = V827922 + 1. assign V952555 = V725735 - 1. assign V955257 = V339287 - 1. assign V118266 = V764534 + 1. assign V442405 = V823253 + 1. assign V041174 = V887114. assign V706023 = V813289 + 1. assign V387996 = V652399 + 1. assign V066929 = V827922 + 1. assign V952645 = V761689. assign V978200 = V147171 - 1. assign V378007 = V434947 + 1. assign V234024 = V046003. assign V125976 = V714898. assign V227332 = V887114 - 1. assign V957016 = V434947. assign V274015 = V212336 + 1. assign V051632 = V359499 + 1. assign V725735 = V187609 + 1. assign V786286 = V066929 + 1. assign V129819 = V952645 + 1. assign V522507 = V823253 - 1. assign V888105 = V101620 - 1. assign V924727 = V652399 - 1. assign V993206 = V522507 + 1. assign V887114 = V187609 - 1. assign V080661 = V027644. assign V876824 = V852393 - 1. assign V576989 = V891473 + 1. assign V175139 = V753645 + 1. assign V835686 = V963081 + 1. assign V929048 = V521244 + 1. assign V341514 = V823253 + 1. assign V085192 = V066929. assign V229781 = V761689. assign V649565 = V823253 + 1. assign V734819 = V408947 - 1. assign V014170 = V682911 - 1. assign V338034 = V434947. assign V096259 = V208325. assign V523732 = V626074 - 1. assign V085897 = V387996. assign V292158 = V408947. assign V626074 = V726269 - 1. assign V185170 = V041174 + 1. assign V211981 = V677564. assign V689406 = V649565 + 1. assign V482665 = V679103 - 1. assign V431685 = V852393 - 1. assign V638010 = V274015. assign V714898 = V753645 + 1. assign V088404 = V631440 - 1. assign V563570 = V843588 + 1. assign V255127 = V895426. assign V935949 = V026768. assign V175031 = V027101. assign V946131 = V190956 + 1. assign V171363 = V439274 + 1. assign V528239 = V041174 + 1. assign V753645 = V955257 + 1. assign V044780 = V631440 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V789354 = V557337 - 1. assign V622194 = V557337. assign V391338 = V185170. assign V796925 = V774807 + 1. assign V827922 = V434947 + 1. assign V022627 = V274015 + 1. assign V378485 = V631440 - 1. assign V654851 = V952555. assign V893324 = V229781 - 1. assign V213002 = V591540. assign V111168 = V338034. assign V339287 = V957016 - 1. assign V674761 = V935949. assign V504968 = V594642 + 1. assign V046003 = V434947 + 1. assign V735716 = V946131. assign V681412 = V229781. assign V323913 = V061007 + 1. assign V212336 = V713598 + 1. assign V806388 = V101620 - 1. assign V187609 = V774807 + 1. assign V761689 = V693054. assign V208325 = V767384 - 1. assign V027101 = V175139 + 1. assign V170060 = V912081 + 1. assign V582161 = V693054 - 1. assign V873010 = V185170. assign V138010 = V173604 + 1. assign V809673 = V891473 + 1. assign V218221 = V989065 - 1. assign V027644 = V187609 - 1. assign V665868 = V594642 - 1. assign V069880 = V887114 - 1. assign V070144 = V952645. assign V435099 = V913287. assign V147171 = V827922. assign V205101 = 7. assign V233917 = V069880. assign V703599 = V713598. assign V160489 = V208325 + 1. assign V912081 = V626074 + 1. assign V733078 = V138010. assign V963081 = V147171. assign V061007 = V761689 - 1. assign V513314 = V171363 + 1. assign V764534 = V786286 + 1. assign V950061 = V190956. assign V948040 = V952645. assign V530903 = V631440. assign V408947 = V339287 + 1. assign V098528 = V053905. assign V208442 = V175139 + 1. assign V594642 = V530903. assign V823739 = V631440. assign V053905 = V530903 + 1. assign V333840 = V652399. assign V439274 = V187609. assign V690520 = V827922 + 1. assign V631440 = V887114 + 1. assign V496881 = V584986. assign V432235 = V170060. assign V693054 = V041174 + 1. assign V557337 = V022627. assign V521244 = V027644 + 1. assign V694060 = V786286 - 1. assign V359499 = V041174 + 1. assign V792542 = V714898. assign V894457 = V044780 - 1. assign V429101 = V952555 - 1. assign V677050 = V190956 - 1. assign V365349 = V205101. assign V866179 = V796925. assign V778367 = V726269 + 1. assign V190956 = V111168. assign V805547 = V851958. assign V891473 = V378485. assign V615167 = V787654 - 1. assign V705308 = V323913 + 1. assign V093706 = V626074 - 1. assign V029351 = V129819 + 1. assign V677564 = V753645 - 1. assign V651376 = V582161 + 1. assign V576950 = V027644. assign V584986 = V111168 - 1. assign V434947 = V774807. assign V963702 = V591540 + 1. assign V101620 = V187609 + 1. assign V820916 = V989065. assign V238264 = V631440 + 1. assign V989065 = V434947. assign V682911 = V496881 + 1. assign V813289 = V041174 - 1. assign V852393 = V767384 + 1. assign V966563 = V626074 - 1. assign V823253 = V690520 - 1. assign V443200 = V208325 - 1. assign V323313 = V690520 - 1. assign V026768 = V631440 - 1. assign V173604 = V496881 + 1. assign V895426 = V946131 - 1. assign V864334 = V061007 + 1. assign V767384 = V274015. assign V652399 = V774807 + 1. assign V601635 = V823739 - 1. assign V591540 = V713598 + 1. assign V713598 = V185170. assign V726269 = V391338 - 1. assign V843588 = V693054 - 1. assign V679103 = V584986 - 1. assign V787654 = V387996 + 1. assign V913287 = V891473 + 1. assign V851958 = V827922 + 1. assign V952555 = V725735 - 1. assign V955257 = V339287 - 1. assign V118266 = V764534 + 1. assign V442405 = V823253 + 1. assign V041174 = V887114. assign V706023 = V813289 + 1. assign V387996 = V652399 + 1. assign V066929 = V827922 + 1. assign V952645 = V761689. assign V978200 = V147171 - 1. assign V378007 = V434947 + 1. assign V234024 = V046003. assign V125976 = V714898. assign V227332 = V887114 - 1. assign V957016 = V434947. assign V274015 = V212336 + 1. assign V051632 = V359499 + 1. assign V725735 = V187609 + 1. assign V786286 = V066929 + 1. assign V129819 = V952645 + 1. assign V522507 = V823253 - 1. assign V888105 = V101620 - 1. assign V924727 = V652399 - 1. assign V993206 = V522507 + 1. assign V887114 = V187609 - 1. assign V080661 = V027644. assign V876824 = V852393 - 1. assign V576989 = V891473 + 1. assign V175139 = V753645 + 1. assign V835686 = V963081 + 1. assign V929048 = V521244 + 1. assign V341514 = V823253 + 1. assign V085192 = V066929. assign V229781 = V761689. assign V649565 = V823253 + 1. assign V734819 = V408947 - 1. assign V014170 = V682911 - 1. assign V338034 = V434947. assign V096259 = V208325. assign V523732 = V626074 - 1. assign V085897 = V387996. assign V292158 = V408947. assign V626074 = V726269 - 1. assign V185170 = V041174 + 1. assign V211981 = V677564. assign V689406 = V649565 + 1. assign V482665 = V679103 - 1. assign V431685 = V852393 - 1. assign V638010 = V274015. assign V714898 = V753645 + 1. assign V088404 = V631440 - 1. assign V563570 = V843588 + 1. assign V255127 = V895426. assign V935949 = V026768. assign V175031 = V027101. assign V946131 = V190956 + 1. assign V171363 = V439274 + 1. assign V528239 = V041174 + 1. assign V753645 = V955257 + 1. assign V044780 = V631440 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV205101 = 7;\n\nFrom these direct assignment(s), we have: \nV365349 = V205101 = 7;\nNo other variables can be derived from V365349;\nNo other variables can be derived from V205101;\n\nNow we have done all the calculations. Derived variables are:\nV205101 = 7;\nV365349 = 7;\n\nNow we have finished this problem. ANSWER:\nV205101, V365349\n", "role": "assistant" } ]

[ "V996969", "V430002" ]

[ { "content": "<context>\nassign V075709 = V598330 + 1. assign V749665 = V600983. assign V649813 = V512230 + 1. assign V836173 = V916022 + 1. assign V867290 = V354153 - 1. assign V667601 = V284357 - 1. assign V449544 = V734401 + 1. assign V736192 = V863448. assign V043875 = V916022 + 1. assign V590756 = V781102 - 1. assign V869367 = V575621. assign V315860 = V787035 + 1. assign V967408 = V419418. assign V863448 = V476934. assign V673022 = V830258 - 1. assign V638960 = V749665 + 1. assign V812839 = V140393 + 1. assign V334549 = V736192 - 1. assign V920711 = V652011 - 1. assign V942389 = V740613. assign V832016 = V512230 + 1. assign V652011 = V476934 - 1. assign V468251 = V638960 - 1. assign V328590 = V740636 - 1. assign V679508 = V769302. assign V469476 = V959783 + 1. assign V542680 = V736192. assign V377647 = V600983 - 1. assign V985350 = V901689 + 1. assign V085098 = V959783 - 1. assign V370547 = V075692 - 1. assign V522920 = V476934 - 1. assign V472453 = V149703. assign V770495 = V834724 - 1. assign V082998 = V798354 - 1. assign V901689 = V769302 + 1. assign V069647 = V155512. assign V419418 = V477834 - 1. assign V781102 = V929627 - 1. assign V626279 = V689091 - 1. assign V430002 = V996969. assign V441809 = V727613. assign V600983 = V736192. assign V507656 = V235059 + 1. assign V001051 = V736192 - 1. assign V727613 = V798354 + 1. assign V937212 = V415952 - 1. assign V343771 = V075692. assign V221678 = V069647 + 1. assign V485594 = V873274 - 1. assign V624275 = V041431 - 1. assign V567282 = V512230 - 1. assign V787035 = V567282 + 1. assign V006133 = V929627 + 1. assign V598330 = V600983 - 1. assign V256651 = V749665. assign V665062 = V736192 + 1. assign V689091 = V959783 - 1. assign V907185 = V542680 + 1. assign V929627 = V740613 - 1. assign V149703 = V600983 - 1. assign V155512 = V830258 - 1. assign V041431 = V469476 + 1. assign V916740 = V624275 + 1. assign V171270 = V689091. assign V916404 = V761202 + 1. assign V226284 = V920711 + 1. assign V697162 = V389610 + 1. assign V858040 = V062659. assign V267902 = V389610. assign V682377 = V140393 - 1. assign V916022 = V025340 - 1. assign V711312 = V769302. assign V254431 = V149703 - 1. assign V661321 = V476934. assign V586446 = V929627 - 1. assign V699380 = V476934 + 1. assign V721738 = V740636. assign V423990 = V769302 + 1. assign V652808 = V425151. assign V134785 = V062659. assign V641809 = V097146 - 1. assign V619870 = V377647. assign V075692 = V787035. assign V512230 = V736192 + 1. assign V959783 = V490260 - 1. assign V769302 = V652011. assign V214838 = V736192 - 1. assign V731957 = V128885. assign V680212 = V757290 - 1. assign V486207 = V430249. assign V235059 = V512230 + 1. assign V354153 = V489272 - 1. assign V892407 = V638960 + 1. assign V025340 = V140393 + 1. assign V996969 = 6. assign V389610 = V781102. assign V684659 = V988019 + 1. assign V069209 = V140393 + 1. assign V732831 = V638960 - 1. assign V438456 = V477834. assign V520078 = V377647. assign V798354 = V490260. assign V805986 = V667601 + 1. assign V489272 = V490260 + 1. assign V682654 = V214838. assign V140593 = V626279 - 1. assign V490260 = V871988 - 1. assign V078753 = V598330. assign V249216 = V787035. assign V522253 = V496170 - 1. assign V046694 = V256651 + 1. assign V415952 = V798354. assign V921308 = V041431 - 1. assign V790253 = V062659 + 1. assign V935202 = V834724 - 1. assign V425151 = V959783. assign V631936 = V871988 - 1. assign V140393 = V863448 - 1. assign V739491 = V001051. assign V757290 = V350734 + 1. assign V419415 = V920711. assign V105684 = V140393. assign V734781 = V419418 + 1. assign V687488 = V985350. assign V834724 = V832016 - 1. assign V945190 = V343771 - 1. assign V430249 = V214838 - 1. assign V496170 = V667601 - 1. assign V477834 = V415952 - 1. assign V209450 = V284357 - 1. assign V734401 = V256651 + 1. assign V506529 = V069647 - 1. assign V244698 = V916404. assign V128885 = V749665 - 1. assign V446912 = V798354 + 1. assign V544112 = V787035. assign V995637 = V134785. assign V294797 = V699380. assign V028862 = V350734 + 1. assign V908071 = V665062 - 1. assign V469954 = V832016 + 1. assign V446899 = V542680. assign V220882 = V586446 - 1. assign V575621 = V085098 - 1. assign V350734 = V149703 + 1. assign V740636 = V149703 - 1. assign V988019 = V867290. assign V756401 = V942389 - 1. assign V761202 = V334549 - 1. assign V564992 = V757290 + 1. assign V720883 = V757290 - 1. assign V412949 = V489272 - 1. assign V097146 = V256651 + 1. assign V740613 = V863448. assign V031265 = V415952 + 1. assign V284357 = V959783 - 1. assign V957054 = V041431 - 1. assign V684917 = V600983 + 1. assign V094271 = V046694. assign V912128 = V684917. assign V839620 = V256651 + 1. assign V211729 = V665062. assign V168886 = V069647 + 1. assign V871988 = V661321 + 1. assign V985584 = V472453 - 1. assign V015400 = V094271. assign V304349 = V871988 + 1. assign V062659 = V469476 + 1. assign V384702 = V489272 + 1. assign V830258 = V749665. assign V873274 = V739491.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V075709 = V598330 + 1. assign V749665 = V600983. assign V649813 = V512230 + 1. assign V836173 = V916022 + 1. assign V867290 = V354153 - 1. assign V667601 = V284357 - 1. assign V449544 = V734401 + 1. assign V736192 = V863448. assign V043875 = V916022 + 1. assign V590756 = V781102 - 1. assign V869367 = V575621. assign V315860 = V787035 + 1. assign V967408 = V419418. assign V863448 = V476934. assign V673022 = V830258 - 1. assign V638960 = V749665 + 1. assign V812839 = V140393 + 1. assign V334549 = V736192 - 1. assign V920711 = V652011 - 1. assign V942389 = V740613. assign V832016 = V512230 + 1. assign V652011 = V476934 - 1. assign V468251 = V638960 - 1. assign V328590 = V740636 - 1. assign V679508 = V769302. assign V469476 = V959783 + 1. assign V542680 = V736192. assign V377647 = V600983 - 1. assign V985350 = V901689 + 1. assign V085098 = V959783 - 1. assign V370547 = V075692 - 1. assign V522920 = V476934 - 1. assign V472453 = V149703. assign V770495 = V834724 - 1. assign V082998 = V798354 - 1. assign V901689 = V769302 + 1. assign V069647 = V155512. assign V419418 = V477834 - 1. assign V781102 = V929627 - 1. assign V626279 = V689091 - 1. assign V430002 = V996969. assign V441809 = V727613. assign V600983 = V736192. assign V507656 = V235059 + 1. assign V001051 = V736192 - 1. assign V727613 = V798354 + 1. assign V937212 = V415952 - 1. assign V343771 = V075692. assign V221678 = V069647 + 1. assign V485594 = V873274 - 1. assign V624275 = V041431 - 1. assign V567282 = V512230 - 1. assign V787035 = V567282 + 1. assign V006133 = V929627 + 1. assign V598330 = V600983 - 1. assign V256651 = V749665. assign V665062 = V736192 + 1. assign V689091 = V959783 - 1. assign V907185 = V542680 + 1. assign V929627 = V740613 - 1. assign V149703 = V600983 - 1. assign V155512 = V830258 - 1. assign V041431 = V469476 + 1. assign V916740 = V624275 + 1. assign V171270 = V689091. assign V916404 = V761202 + 1. assign V226284 = V920711 + 1. assign V697162 = V389610 + 1. assign V858040 = V062659. assign V267902 = V389610. assign V682377 = V140393 - 1. assign V916022 = V025340 - 1. assign V711312 = V769302. assign V254431 = V149703 - 1. assign V661321 = V476934. assign V586446 = V929627 - 1. assign V699380 = V476934 + 1. assign V721738 = V740636. assign V423990 = V769302 + 1. assign V652808 = V425151. assign V134785 = V062659. assign V641809 = V097146 - 1. assign V619870 = V377647. assign V075692 = V787035. assign V512230 = V736192 + 1. assign V959783 = V490260 - 1. assign V769302 = V652011. assign V214838 = V736192 - 1. assign V731957 = V128885. assign V680212 = V757290 - 1. assign V486207 = V430249. assign V235059 = V512230 + 1. assign V354153 = V489272 - 1. assign V892407 = V638960 + 1. assign V025340 = V140393 + 1. assign V996969 = 6. assign V389610 = V781102. assign V684659 = V988019 + 1. assign V069209 = V140393 + 1. assign V732831 = V638960 - 1. assign V438456 = V477834. assign V520078 = V377647. assign V798354 = V490260. assign V805986 = V667601 + 1. assign V489272 = V490260 + 1. assign V682654 = V214838. assign V140593 = V626279 - 1. assign V490260 = V871988 - 1. assign V078753 = V598330. assign V249216 = V787035. assign V522253 = V496170 - 1. assign V046694 = V256651 + 1. assign V415952 = V798354. assign V921308 = V041431 - 1. assign V790253 = V062659 + 1. assign V935202 = V834724 - 1. assign V425151 = V959783. assign V631936 = V871988 - 1. assign V140393 = V863448 - 1. assign V739491 = V001051. assign V757290 = V350734 + 1. assign V419415 = V920711. assign V105684 = V140393. assign V734781 = V419418 + 1. assign V687488 = V985350. assign V834724 = V832016 - 1. assign V945190 = V343771 - 1. assign V430249 = V214838 - 1. assign V496170 = V667601 - 1. assign V477834 = V415952 - 1. assign V209450 = V284357 - 1. assign V734401 = V256651 + 1. assign V506529 = V069647 - 1. assign V244698 = V916404. assign V128885 = V749665 - 1. assign V446912 = V798354 + 1. assign V544112 = V787035. assign V995637 = V134785. assign V294797 = V699380. assign V028862 = V350734 + 1. assign V908071 = V665062 - 1. assign V469954 = V832016 + 1. assign V446899 = V542680. assign V220882 = V586446 - 1. assign V575621 = V085098 - 1. assign V350734 = V149703 + 1. assign V740636 = V149703 - 1. assign V988019 = V867290. assign V756401 = V942389 - 1. assign V761202 = V334549 - 1. assign V564992 = V757290 + 1. assign V720883 = V757290 - 1. assign V412949 = V489272 - 1. assign V097146 = V256651 + 1. assign V740613 = V863448. assign V031265 = V415952 + 1. assign V284357 = V959783 - 1. assign V957054 = V041431 - 1. assign V684917 = V600983 + 1. assign V094271 = V046694. assign V912128 = V684917. assign V839620 = V256651 + 1. assign V211729 = V665062. assign V168886 = V069647 + 1. assign V871988 = V661321 + 1. assign V985584 = V472453 - 1. assign V015400 = V094271. assign V304349 = V871988 + 1. assign V062659 = V469476 + 1. assign V384702 = V489272 + 1. assign V830258 = V749665. assign V873274 = V739491.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV996969 = 6;\n\nFrom these direct assignment(s), we have: \nV430002 = V996969 = 6;\nNo other variables can be derived from V430002;\nNo other variables can be derived from V996969;\n\nNow we have done all the calculations. Derived variables are:\nV996969 = 6;\nV430002 = 6;\n\nNow we have finished this problem. ANSWER:\nV996969, V430002\n", "role": "assistant" } ]

[ "V744390" ]

[ { "content": "<context>\nassign V261592 = V831986 - 1. assign V100081 = V280829 - 1. assign V534219 = V434996. assign V403712 = V427502 + 1. assign V496733 = V333516. assign V701863 = V413093 - 1. assign V504799 = V613369 - 1. assign V588584 = V692713 - 1. assign V396137 = V434996 - 1. assign V132849 = V207284 - 1. assign V443798 = V656588. assign V586227 = V797005. assign V549301 = V566168 + 1. assign V648037 = V638399 - 1. assign V419381 = V243845 - 1. assign V346357 = V925994. assign V471844 = V250571 + 1. assign V768282 = V950016 + 1. assign V457068 = V333516 - 1. assign V869034 = V176794. assign V692626 = V408755 - 1. assign V021749 = V243845. assign V389366 = V701863 + 1. assign V565646 = V692626. assign V539360 = V761260 - 1. assign V997521 = V509624 - 1. assign V304149 = V744390 - 1. assign V413093 = V393461 + 1. assign V434272 = V839260 + 1. assign V323431 = V469685 + 1. assign V280829 = V875423. assign V471130 = V261592 + 1. assign V164016 = V971909 - 1. assign V243845 = V280829 + 1. assign V589318 = V594576. assign V641685 = V393461. assign V442156 = V710137 - 1. assign V710137 = V201309 + 1. assign V759588 = V313575. assign V858267 = V393461 + 1. assign V244970 = V413093. assign V196924 = V523033 - 1. assign V176794 = V469685. assign V394010 = V278153. assign V609846 = V768282 - 1. assign V314257 = V925994. assign V250571 = V594576 + 1. assign V856703 = V469685. assign V591749 = V458756 + 1. assign V000359 = V530422 - 1. assign V744390 = 2. assign V631645 = V605069. assign V395138 = V839260. assign V435990 = V588584 + 1. assign V696334 = V200391 + 1. assign V311470 = V588584 + 1. assign V676030 = V608061 - 1. assign V396396 = V323431 + 1. assign V368961 = V058044 - 1. assign V639758 = V164016. assign V415904 = V594576 - 1. assign V069523 = V509930 - 1. assign V575849 = V471844 - 1. assign V925994 = V797005 - 1. assign V899259 = V514235. assign V725711 = V831986. assign V450429 = V427502 - 1. assign V584351 = V314257 + 1. assign V173625 = V553496. assign V509930 = V530422 - 1. assign V566168 = V584351 + 1. assign V605069 = V176794. assign V016214 = V760365. assign V875423 = V964413. assign V274739 = V207284. assign V514235 = V875423. assign V323622 = V928568 - 1. assign V932257 = V201309 + 1. assign V613369 = V586227 + 1. assign V784475 = V588584 + 1. assign V379710 = V875729 - 1. assign V761260 = V471844. assign V651317 = V269666 - 1. assign V692713 = V656588 + 1. assign V200391 = V393461 - 1. assign V971909 = V586227 + 1. assign V561207 = V692626 + 1. assign V509624 = V530422. assign V677140 = V584351 - 1. assign V686679 = V250571 - 1. assign V246197 = V200391 + 1. assign V313575 = V396137. assign V973507 = V413093 - 1. assign V553496 = V455923 - 1. assign V223132 = V594576 + 1. assign V689433 = V584351 - 1. assign V058044 = V613369. assign V132794 = V981818 + 1. assign V905113 = V584351 + 1. assign V458756 = V314257. assign V648295 = V314257 + 1. assign V434996 = V109540 + 1. assign V523033 = V176794 - 1. assign V950016 = V434996. assign V152308 = V521076. assign V521076 = V250571 + 1. assign V981818 = V971909 + 1. assign V709791 = V152308 + 1. assign V480546 = V201309 - 1. assign V922618 = V450429. assign V928568 = V591749 + 1. assign V582337 = V132114 + 1. assign V455923 = V469685. assign V760365 = V196924 + 1. assign V427502 = V471844 + 1. assign V530422 = V651317. assign V660508 = V575849. assign V464771 = V312118 - 1. assign V808793 = V696334. assign V731569 = V808793. assign V870570 = V196924 - 1. assign V656588 = V333516 - 1. assign V839260 = V403712. assign V248339 = V415904 - 1. assign V854215 = V176794 + 1. assign V109540 = V797005 - 1. assign V957139 = V469685 + 1. assign V797005 = V086661 + 1. assign V706065 = V333516 - 1. assign V350472 = V710137. assign V629335 = V196924. assign V608061 = V854215 + 1. assign V958559 = V932257 + 1. assign V897980 = V176794 - 1. assign V828737 = V186629 + 1. assign V207284 = V925994. assign V380792 = V457068. assign V408755 = V761260. assign V132114 = V831986 - 1. assign V086661 = V594576 - 1. assign V607904 = V496733 + 1. assign V314024 = V261592. assign V311631 = V588584. assign V104628 = V553496 - 1. assign V113242 = V504453 - 1. assign V415832 = V831986 + 1. assign V346239 = V313575 + 1. assign V014379 = V058044 + 1. assign V831986 = V605069. assign V803541 = V207284. assign V436056 = V854215. assign V266092 = V803541 - 1. assign V449738 = V393461 - 1. assign V269666 = V314257. assign V703541 = V368961 + 1. assign V648280 = V427502 + 1. assign V504964 = V588584 - 1. assign V964413 = V797005 - 1. assign V333516 = V086661. assign V076960 = V086661 - 1. assign V278153 = V458756 + 1. assign V638399 = V761260. assign V187341 = V104628. assign V312118 = V261592. assign V119163 = V553496. assign V875729 = V651317 + 1. assign V886146 = V207284 - 1. assign V186629 = V703541. assign V594576 = V469685 - 1. assign V504453 = V280829. assign V393461 = V875423. assign V201309 = V176794 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V261592 = V831986 - 1. assign V100081 = V280829 - 1. assign V534219 = V434996. assign V403712 = V427502 + 1. assign V496733 = V333516. assign V701863 = V413093 - 1. assign V504799 = V613369 - 1. assign V588584 = V692713 - 1. assign V396137 = V434996 - 1. assign V132849 = V207284 - 1. assign V443798 = V656588. assign V586227 = V797005. assign V549301 = V566168 + 1. assign V648037 = V638399 - 1. assign V419381 = V243845 - 1. assign V346357 = V925994. assign V471844 = V250571 + 1. assign V768282 = V950016 + 1. assign V457068 = V333516 - 1. assign V869034 = V176794. assign V692626 = V408755 - 1. assign V021749 = V243845. assign V389366 = V701863 + 1. assign V565646 = V692626. assign V539360 = V761260 - 1. assign V997521 = V509624 - 1. assign V304149 = V744390 - 1. assign V413093 = V393461 + 1. assign V434272 = V839260 + 1. assign V323431 = V469685 + 1. assign V280829 = V875423. assign V471130 = V261592 + 1. assign V164016 = V971909 - 1. assign V243845 = V280829 + 1. assign V589318 = V594576. assign V641685 = V393461. assign V442156 = V710137 - 1. assign V710137 = V201309 + 1. assign V759588 = V313575. assign V858267 = V393461 + 1. assign V244970 = V413093. assign V196924 = V523033 - 1. assign V176794 = V469685. assign V394010 = V278153. assign V609846 = V768282 - 1. assign V314257 = V925994. assign V250571 = V594576 + 1. assign V856703 = V469685. assign V591749 = V458756 + 1. assign V000359 = V530422 - 1. assign V744390 = 2. assign V631645 = V605069. assign V395138 = V839260. assign V435990 = V588584 + 1. assign V696334 = V200391 + 1. assign V311470 = V588584 + 1. assign V676030 = V608061 - 1. assign V396396 = V323431 + 1. assign V368961 = V058044 - 1. assign V639758 = V164016. assign V415904 = V594576 - 1. assign V069523 = V509930 - 1. assign V575849 = V471844 - 1. assign V925994 = V797005 - 1. assign V899259 = V514235. assign V725711 = V831986. assign V450429 = V427502 - 1. assign V584351 = V314257 + 1. assign V173625 = V553496. assign V509930 = V530422 - 1. assign V566168 = V584351 + 1. assign V605069 = V176794. assign V016214 = V760365. assign V875423 = V964413. assign V274739 = V207284. assign V514235 = V875423. assign V323622 = V928568 - 1. assign V932257 = V201309 + 1. assign V613369 = V586227 + 1. assign V784475 = V588584 + 1. assign V379710 = V875729 - 1. assign V761260 = V471844. assign V651317 = V269666 - 1. assign V692713 = V656588 + 1. assign V200391 = V393461 - 1. assign V971909 = V586227 + 1. assign V561207 = V692626 + 1. assign V509624 = V530422. assign V677140 = V584351 - 1. assign V686679 = V250571 - 1. assign V246197 = V200391 + 1. assign V313575 = V396137. assign V973507 = V413093 - 1. assign V553496 = V455923 - 1. assign V223132 = V594576 + 1. assign V689433 = V584351 - 1. assign V058044 = V613369. assign V132794 = V981818 + 1. assign V905113 = V584351 + 1. assign V458756 = V314257. assign V648295 = V314257 + 1. assign V434996 = V109540 + 1. assign V523033 = V176794 - 1. assign V950016 = V434996. assign V152308 = V521076. assign V521076 = V250571 + 1. assign V981818 = V971909 + 1. assign V709791 = V152308 + 1. assign V480546 = V201309 - 1. assign V922618 = V450429. assign V928568 = V591749 + 1. assign V582337 = V132114 + 1. assign V455923 = V469685. assign V760365 = V196924 + 1. assign V427502 = V471844 + 1. assign V530422 = V651317. assign V660508 = V575849. assign V464771 = V312118 - 1. assign V808793 = V696334. assign V731569 = V808793. assign V870570 = V196924 - 1. assign V656588 = V333516 - 1. assign V839260 = V403712. assign V248339 = V415904 - 1. assign V854215 = V176794 + 1. assign V109540 = V797005 - 1. assign V957139 = V469685 + 1. assign V797005 = V086661 + 1. assign V706065 = V333516 - 1. assign V350472 = V710137. assign V629335 = V196924. assign V608061 = V854215 + 1. assign V958559 = V932257 + 1. assign V897980 = V176794 - 1. assign V828737 = V186629 + 1. assign V207284 = V925994. assign V380792 = V457068. assign V408755 = V761260. assign V132114 = V831986 - 1. assign V086661 = V594576 - 1. assign V607904 = V496733 + 1. assign V314024 = V261592. assign V311631 = V588584. assign V104628 = V553496 - 1. assign V113242 = V504453 - 1. assign V415832 = V831986 + 1. assign V346239 = V313575 + 1. assign V014379 = V058044 + 1. assign V831986 = V605069. assign V803541 = V207284. assign V436056 = V854215. assign V266092 = V803541 - 1. assign V449738 = V393461 - 1. assign V269666 = V314257. assign V703541 = V368961 + 1. assign V648280 = V427502 + 1. assign V504964 = V588584 - 1. assign V964413 = V797005 - 1. assign V333516 = V086661. assign V076960 = V086661 - 1. assign V278153 = V458756 + 1. assign V638399 = V761260. assign V187341 = V104628. assign V312118 = V261592. assign V119163 = V553496. assign V875729 = V651317 + 1. assign V886146 = V207284 - 1. assign V186629 = V703541. assign V594576 = V469685 - 1. assign V504453 = V280829. assign V393461 = V875423. assign V201309 = V176794 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV744390 = 2;\n\nFrom these direct assignment(s), we have: \nV304149 = V744390 - 1 = 2 - 1 =1;\nNo other variables can be derived from V304149;\nNo other variables can be derived from V744390;\n\nNow we have done all the calculations. Derived variables are:\nV744390 = 2;\nV304149 = 1;\n\nNow we have finished this problem. ANSWER:\nV744390\n", "role": "assistant" } ]

[ "V086598", "V600548" ]

[ { "content": "<context>\nassign V911184 = V742807. assign V137479 = V568584. assign V776461 = V806694 + 1. assign V593567 = V319716 - 1. assign V942667 = V554896 - 1. assign V129641 = V637103. assign V079494 = V771024. assign V450706 = V345120 + 1. assign V684595 = V870787 + 1. assign V423322 = V026691 - 1. assign V536561 = V222575 + 1. assign V572635 = V917090 - 1. assign V461602 = V157297 + 1. assign V915729 = V062046. assign V096493 = V511058 + 1. assign V542556 = V548641 + 1. assign V220668 = V163544. assign V151804 = V113138 - 1. assign V551174 = V539512. assign V377865 = V558515 + 1. assign V313184 = V068884. assign V853187 = V369733 - 1. assign V635228 = V564301. assign V068884 = V129641 + 1. assign V219387 = V137951. assign V755918 = V665489 + 1. assign V558515 = V050247 - 1. assign V742116 = V853187 - 1. assign V328704 = V877045 - 1. assign V039053 = V308986 - 1. assign V096644 = V104720. assign V011805 = V708139 + 1. assign V238575 = V373929. assign V150188 = V068884 + 1. assign V880426 = V419245 - 1. assign V113138 = V833114 + 1. assign V870787 = V993567 + 1. assign V037481 = V977101 - 1. assign V191453 = V915729 + 1. assign V571580 = V756284 - 1. assign V539512 = V026691 - 1. assign V525221 = V890353. assign V068605 = V890353 - 1. assign V050247 = V437310 + 1. assign V953160 = V377865 + 1. assign V887107 = V637103. assign V089344 = V528393 - 1. assign V877339 = V068884 - 1. assign V856632 = V334193 + 1. assign V026691 = V530803 - 1. assign V564301 = V026691. assign V833114 = V756284. assign V950992 = V671037 - 1. assign V554896 = V841275 - 1. assign V756284 = V853187 + 1. assign V027250 = V345120 - 1. assign V345120 = V062046. assign V137464 = V949536 - 1. assign V655804 = V539512 - 1. assign V976552 = V102623. assign V369733 = V062046. assign V688742 = V392909 + 1. assign V715009 = V313184 - 1. assign V841275 = V097610. assign V807776 = V806145. assign V163544 = V441807 + 1. assign V392909 = V328704 - 1. assign V877045 = V993567. assign V806694 = V369733 + 1. assign V590668 = V571580 - 1. assign V437310 = V564301 + 1. assign V688415 = V026691. assign V511058 = V564301. assign V607020 = V648565 - 1. assign V713220 = V515565 - 1. assign V629659 = V976552 + 1. assign V543600 = V539512 + 1. assign V529287 = V558515 - 1. assign V708139 = V074695. assign V086864 = V097610 + 1. assign V308986 = V339045 - 1. assign V095844 = V558515. assign V157297 = V543600 - 1. assign V620825 = V771024 - 1. assign V742807 = V590668. assign V119172 = V243128 + 1. assign V535868 = V677090 - 1. assign V339045 = V688415. assign V334193 = V688415 - 1. assign V876237 = V026691. assign V074695 = V129641. assign V142607 = V369733. assign V637103 = V539512. assign V224640 = V890353 - 1. assign V222575 = V756284 + 1. assign V630831 = V629659. assign V243128 = V319716 - 1. assign V137951 = V853187. assign V237150 = V708139. assign V463289 = V219387 + 1. assign V983994 = V027250 - 1. assign V763982 = V199762 + 1. assign V677090 = V313184 + 1. assign V528393 = V629659 + 1. assign V421737 = V759677 + 1. assign V759677 = V330621 + 1. assign V136042 = V539512 - 1. assign V771024 = V530803 - 1. assign V515565 = V771024 - 1. assign V840102 = V097610 + 1. assign V343753 = V976552 + 1. assign V600548 = V086598. assign V939272 = V409928. assign V560379 = V593567 - 1. assign V688586 = V437310. assign V330621 = V328704 - 1. assign V558224 = V742116. assign V890353 = V558224 + 1. assign V419245 = V345120. assign V758324 = V911665. assign V483261 = V543600 + 1. assign V548641 = V419245 - 1. assign V806145 = V062046 + 1. assign V104720 = V437310. assign V800239 = V841275 - 1. assign V271547 = V444740 + 1. assign V240175 = V097610 + 1. assign V322502 = V157297. assign V568584 = V890353. assign V319716 = V222575 - 1. assign V164054 = V137951 + 1. assign V373929 = V742116. assign V483415 = V328704 + 1. assign V441851 = V027250 - 1. assign V665489 = V222575. assign V599535 = V590668 + 1. assign V540860 = V068605. assign V086598 = 4. assign V523214 = V097610 - 1. assign V097610 = V976552. assign V515119 = V976552 - 1. assign V383459 = V665489 - 1. assign V790344 = V806694 - 1. assign V481832 = V807776 - 1. assign V250774 = V708139 + 1. assign V441807 = V568584 + 1. assign V284064 = V959292 + 1. assign V589810 = V005070 - 1. assign V102623 = V062046. assign V444740 = V806694 - 1. assign V005070 = V637103. assign V911665 = V345120. assign V959292 = V708139. assign V170137 = V976552. assign V649891 = V525221 + 1. assign V270409 = V742116 - 1. assign V993567 = V062046 - 1. assign V199762 = V558515 - 1. assign V917090 = V649891 - 1. assign V446430 = V853187. assign V027939 = V219387 - 1. assign V648565 = V157297 + 1. assign V487913 = V409928. assign V949536 = V993567. assign V530803 = V369733. assign V671037 = V027250 - 1. assign V598404 = V558224 - 1. assign V630614 = V763982 + 1. assign V977101 = V079494. assign V409928 = V543600 + 1. assign V007352 = V523214. assign V419343 = V104720 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V911184 = V742807. assign V137479 = V568584. assign V776461 = V806694 + 1. assign V593567 = V319716 - 1. assign V942667 = V554896 - 1. assign V129641 = V637103. assign V079494 = V771024. assign V450706 = V345120 + 1. assign V684595 = V870787 + 1. assign V423322 = V026691 - 1. assign V536561 = V222575 + 1. assign V572635 = V917090 - 1. assign V461602 = V157297 + 1. assign V915729 = V062046. assign V096493 = V511058 + 1. assign V542556 = V548641 + 1. assign V220668 = V163544. assign V151804 = V113138 - 1. assign V551174 = V539512. assign V377865 = V558515 + 1. assign V313184 = V068884. assign V853187 = V369733 - 1. assign V635228 = V564301. assign V068884 = V129641 + 1. assign V219387 = V137951. assign V755918 = V665489 + 1. assign V558515 = V050247 - 1. assign V742116 = V853187 - 1. assign V328704 = V877045 - 1. assign V039053 = V308986 - 1. assign V096644 = V104720. assign V011805 = V708139 + 1. assign V238575 = V373929. assign V150188 = V068884 + 1. assign V880426 = V419245 - 1. assign V113138 = V833114 + 1. assign V870787 = V993567 + 1. assign V037481 = V977101 - 1. assign V191453 = V915729 + 1. assign V571580 = V756284 - 1. assign V539512 = V026691 - 1. assign V525221 = V890353. assign V068605 = V890353 - 1. assign V050247 = V437310 + 1. assign V953160 = V377865 + 1. assign V887107 = V637103. assign V089344 = V528393 - 1. assign V877339 = V068884 - 1. assign V856632 = V334193 + 1. assign V026691 = V530803 - 1. assign V564301 = V026691. assign V833114 = V756284. assign V950992 = V671037 - 1. assign V554896 = V841275 - 1. assign V756284 = V853187 + 1. assign V027250 = V345120 - 1. assign V345120 = V062046. assign V137464 = V949536 - 1. assign V655804 = V539512 - 1. assign V976552 = V102623. assign V369733 = V062046. assign V688742 = V392909 + 1. assign V715009 = V313184 - 1. assign V841275 = V097610. assign V807776 = V806145. assign V163544 = V441807 + 1. assign V392909 = V328704 - 1. assign V877045 = V993567. assign V806694 = V369733 + 1. assign V590668 = V571580 - 1. assign V437310 = V564301 + 1. assign V688415 = V026691. assign V511058 = V564301. assign V607020 = V648565 - 1. assign V713220 = V515565 - 1. assign V629659 = V976552 + 1. assign V543600 = V539512 + 1. assign V529287 = V558515 - 1. assign V708139 = V074695. assign V086864 = V097610 + 1. assign V308986 = V339045 - 1. assign V095844 = V558515. assign V157297 = V543600 - 1. assign V620825 = V771024 - 1. assign V742807 = V590668. assign V119172 = V243128 + 1. assign V535868 = V677090 - 1. assign V339045 = V688415. assign V334193 = V688415 - 1. assign V876237 = V026691. assign V074695 = V129641. assign V142607 = V369733. assign V637103 = V539512. assign V224640 = V890353 - 1. assign V222575 = V756284 + 1. assign V630831 = V629659. assign V243128 = V319716 - 1. assign V137951 = V853187. assign V237150 = V708139. assign V463289 = V219387 + 1. assign V983994 = V027250 - 1. assign V763982 = V199762 + 1. assign V677090 = V313184 + 1. assign V528393 = V629659 + 1. assign V421737 = V759677 + 1. assign V759677 = V330621 + 1. assign V136042 = V539512 - 1. assign V771024 = V530803 - 1. assign V515565 = V771024 - 1. assign V840102 = V097610 + 1. assign V343753 = V976552 + 1. assign V600548 = V086598. assign V939272 = V409928. assign V560379 = V593567 - 1. assign V688586 = V437310. assign V330621 = V328704 - 1. assign V558224 = V742116. assign V890353 = V558224 + 1. assign V419245 = V345120. assign V758324 = V911665. assign V483261 = V543600 + 1. assign V548641 = V419245 - 1. assign V806145 = V062046 + 1. assign V104720 = V437310. assign V800239 = V841275 - 1. assign V271547 = V444740 + 1. assign V240175 = V097610 + 1. assign V322502 = V157297. assign V568584 = V890353. assign V319716 = V222575 - 1. assign V164054 = V137951 + 1. assign V373929 = V742116. assign V483415 = V328704 + 1. assign V441851 = V027250 - 1. assign V665489 = V222575. assign V599535 = V590668 + 1. assign V540860 = V068605. assign V086598 = 4. assign V523214 = V097610 - 1. assign V097610 = V976552. assign V515119 = V976552 - 1. assign V383459 = V665489 - 1. assign V790344 = V806694 - 1. assign V481832 = V807776 - 1. assign V250774 = V708139 + 1. assign V441807 = V568584 + 1. assign V284064 = V959292 + 1. assign V589810 = V005070 - 1. assign V102623 = V062046. assign V444740 = V806694 - 1. assign V005070 = V637103. assign V911665 = V345120. assign V959292 = V708139. assign V170137 = V976552. assign V649891 = V525221 + 1. assign V270409 = V742116 - 1. assign V993567 = V062046 - 1. assign V199762 = V558515 - 1. assign V917090 = V649891 - 1. assign V446430 = V853187. assign V027939 = V219387 - 1. assign V648565 = V157297 + 1. assign V487913 = V409928. assign V949536 = V993567. assign V530803 = V369733. assign V671037 = V027250 - 1. assign V598404 = V558224 - 1. assign V630614 = V763982 + 1. assign V977101 = V079494. assign V409928 = V543600 + 1. assign V007352 = V523214. assign V419343 = V104720 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV086598 = 4;\n\nFrom these direct assignment(s), we have: \nV600548 = V086598 = 4;\nNo other variables can be derived from V600548;\nNo other variables can be derived from V086598;\n\nNow we have done all the calculations. Derived variables are:\nV086598 = 4;\nV600548 = 4;\n\nNow we have finished this problem. ANSWER:\nV086598, V600548\n", "role": "assistant" } ]

[ "V579889" ]

[ { "content": "<context>\nassign V449678 = V344748 + 1. assign V330228 = V445772 + 1. assign V952926 = V691215 - 1. assign V073486 = V449678 - 1. assign V948229 = V546015. assign V634720 = V692690 + 1. assign V698093 = V833447. assign V776302 = V546015 - 1. assign V480385 = V531890 + 1. assign V094117 = V811402 - 1. assign V229242 = V867472 - 1. assign V690982 = V996207. assign V912127 = V743846 - 1. assign V421430 = V819864. assign V498145 = V799585. assign V107306 = V151825. assign V211184 = V316389 - 1. assign V455109 = V701051 + 1. assign V799585 = V745875 - 1. assign V916581 = V546015. assign V227835 = V692690 + 1. assign V692690 = V811705 - 1. assign V546015 = V745875 - 1. assign V579889 = V183250 + 1. assign V561335 = V445772 + 1. assign V302151 = V054624 - 1. assign V065768 = V475294 - 1. assign V569891 = V407016. assign V349070 = V750081 - 1. assign V445772 = V692690 + 1. assign V851749 = V846609 - 1. assign V330903 = V110781. assign V193361 = V646032 - 1. assign V048355 = V679484. assign V935523 = V875092 - 1. assign V577121 = V526960. assign V202955 = V211184 + 1. assign V734537 = V475294 + 1. assign V211748 = V471644 + 1. assign V407016 = V747706 + 1. assign V114326 = V916581. assign V998781 = V485462. assign V646032 = V634720 - 1. assign V153316 = V811705. assign V013318 = V745875 + 1. assign V307525 = V573587 - 1. assign V447381 = V445772. assign V337247 = V445772 + 1. assign V256045 = V747706. assign V264624 = V159312. assign V743997 = V799585 - 1. assign V463191 = V254977 + 1. assign V167267 = V771103. assign V159305 = V811402 - 1. assign V467921 = V689036 + 1. assign V858695 = V229242 - 1. assign V370737 = V407016 + 1. assign V714673 = V254977 - 1. assign V811402 = V634720 - 1. assign V344748 = V422116 + 1. assign V959307 = V721077 - 1. assign V996207 = V445772 - 1. assign V577731 = V646032 - 1. assign V313651 = V833447 + 1. assign V531890 = V811705. assign V583680 = V227835 - 1. assign V345934 = V083461. assign V526960 = V359250. assign V604424 = V475294 - 1. assign V286037 = V168512 + 1. assign V110781 = V227835 + 1. assign V326289 = V833447 + 1. assign V156550 = V701051 - 1. assign V597824 = V546015 + 1. assign V769757 = V151825. assign V273438 = V577731 + 1. assign V983036 = V996207. assign V340043 = V576405 + 1. assign V779769 = V153316 - 1. assign V318127 = V313651 - 1. assign V141827 = V013318. assign V151825 = V159305 + 1. assign V467822 = V013318 + 1. assign V745875 = V811705 + 1. assign V806819 = V851749 - 1. assign V986580 = V811705 + 1. assign V381957 = V692690. assign V441168 = V689036 + 1. assign V039359 = V151825 + 1. assign V563652 = V141827 - 1. assign V583259 = V851749 + 1. assign V801907 = V307525. assign V112987 = V745875 - 1. assign V543308 = V721077. assign V769802 = V745875. assign V731082 = V211184 + 1. assign V679484 = V634720 - 1. assign V960850 = V467822 - 1. assign V851922 = V445772 - 1. assign V132714 = V960850. assign V812455 = V313651 - 1. assign V875092 = V811402 - 1. assign V819864 = V347640 - 1. assign V460921 = V576405. assign V862263 = V646032. assign V846609 = V996207 + 1. assign V316389 = V313651 + 1. assign V054624 = V445772. assign V010112 = V702650 + 1. assign V686623 = V227835 + 1. assign V375342 = V229242 + 1. assign V738623 = V422116 + 1. assign V760657 = V273438 + 1. assign V475294 = V718648. assign V168512 = V112987. assign V291423 = V316389. assign V702650 = V325513 + 1. assign V536829 = V341778. assign V833447 = V745875. assign V718648 = V193361 + 1. assign V750081 = V013318 + 1. assign V573587 = V531890 - 1. assign V822695 = V381957 + 1. assign V243618 = V916581. assign V838400 = V577731 + 1. assign V084216 = V094117. assign V795168 = V345934. assign V254977 = V646032 - 1. assign V771103 = V690982 + 1. assign V558296 = V689036 + 1. assign V092500 = V543557. assign V743846 = V531890. assign V536967 = V531890 + 1. assign V359250 = V202955 - 1. assign V746512 = V885061 - 1. assign V807404 = V948229 - 1. assign V140817 = V745875 - 1. assign V590508 = V325513. assign V471644 = V347640 + 1. assign V885061 = V325513 - 1. assign V076310 = V597824 - 1. assign V721077 = V776302 - 1. assign V604841 = V689036. assign V871192 = V569891 + 1. assign V701051 = V054624 + 1. assign V691215 = V543557. assign V325513 = V211184 + 1. assign V485462 = V445772 + 1. assign V689036 = V811705. assign V216651 = V455109 + 1. assign V183250 = 4. assign V347640 = V370737 + 1. assign V608931 = V833447 - 1. assign V341778 = V112987 - 1. assign V279136 = V912127 - 1. assign V463951 = V701051 + 1. assign V083461 = V422116 + 1. assign V672700 = V083461 + 1. assign V576405 = V480385. assign V071374 = V273438 + 1. assign V944196 = V330228 + 1. assign V543557 = V597824. assign V747706 = V714673 + 1. assign V867472 = V743846 - 1. assign V694620 = V746512. assign V009746 = V467822 - 1. assign V138771 = V467822 - 1. assign V555531 = V531890 - 1. assign V159312 = V838400 - 1. assign V743905 = V110781. assign V278877 = V604841 - 1. assign V422116 = V833447.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V449678 = V344748 + 1. assign V330228 = V445772 + 1. assign V952926 = V691215 - 1. assign V073486 = V449678 - 1. assign V948229 = V546015. assign V634720 = V692690 + 1. assign V698093 = V833447. assign V776302 = V546015 - 1. assign V480385 = V531890 + 1. assign V094117 = V811402 - 1. assign V229242 = V867472 - 1. assign V690982 = V996207. assign V912127 = V743846 - 1. assign V421430 = V819864. assign V498145 = V799585. assign V107306 = V151825. assign V211184 = V316389 - 1. assign V455109 = V701051 + 1. assign V799585 = V745875 - 1. assign V916581 = V546015. assign V227835 = V692690 + 1. assign V692690 = V811705 - 1. assign V546015 = V745875 - 1. assign V579889 = V183250 + 1. assign V561335 = V445772 + 1. assign V302151 = V054624 - 1. assign V065768 = V475294 - 1. assign V569891 = V407016. assign V349070 = V750081 - 1. assign V445772 = V692690 + 1. assign V851749 = V846609 - 1. assign V330903 = V110781. assign V193361 = V646032 - 1. assign V048355 = V679484. assign V935523 = V875092 - 1. assign V577121 = V526960. assign V202955 = V211184 + 1. assign V734537 = V475294 + 1. assign V211748 = V471644 + 1. assign V407016 = V747706 + 1. assign V114326 = V916581. assign V998781 = V485462. assign V646032 = V634720 - 1. assign V153316 = V811705. assign V013318 = V745875 + 1. assign V307525 = V573587 - 1. assign V447381 = V445772. assign V337247 = V445772 + 1. assign V256045 = V747706. assign V264624 = V159312. assign V743997 = V799585 - 1. assign V463191 = V254977 + 1. assign V167267 = V771103. assign V159305 = V811402 - 1. assign V467921 = V689036 + 1. assign V858695 = V229242 - 1. assign V370737 = V407016 + 1. assign V714673 = V254977 - 1. assign V811402 = V634720 - 1. assign V344748 = V422116 + 1. assign V959307 = V721077 - 1. assign V996207 = V445772 - 1. assign V577731 = V646032 - 1. assign V313651 = V833447 + 1. assign V531890 = V811705. assign V583680 = V227835 - 1. assign V345934 = V083461. assign V526960 = V359250. assign V604424 = V475294 - 1. assign V286037 = V168512 + 1. assign V110781 = V227835 + 1. assign V326289 = V833447 + 1. assign V156550 = V701051 - 1. assign V597824 = V546015 + 1. assign V769757 = V151825. assign V273438 = V577731 + 1. assign V983036 = V996207. assign V340043 = V576405 + 1. assign V779769 = V153316 - 1. assign V318127 = V313651 - 1. assign V141827 = V013318. assign V151825 = V159305 + 1. assign V467822 = V013318 + 1. assign V745875 = V811705 + 1. assign V806819 = V851749 - 1. assign V986580 = V811705 + 1. assign V381957 = V692690. assign V441168 = V689036 + 1. assign V039359 = V151825 + 1. assign V563652 = V141827 - 1. assign V583259 = V851749 + 1. assign V801907 = V307525. assign V112987 = V745875 - 1. assign V543308 = V721077. assign V769802 = V745875. assign V731082 = V211184 + 1. assign V679484 = V634720 - 1. assign V960850 = V467822 - 1. assign V851922 = V445772 - 1. assign V132714 = V960850. assign V812455 = V313651 - 1. assign V875092 = V811402 - 1. assign V819864 = V347640 - 1. assign V460921 = V576405. assign V862263 = V646032. assign V846609 = V996207 + 1. assign V316389 = V313651 + 1. assign V054624 = V445772. assign V010112 = V702650 + 1. assign V686623 = V227835 + 1. assign V375342 = V229242 + 1. assign V738623 = V422116 + 1. assign V760657 = V273438 + 1. assign V475294 = V718648. assign V168512 = V112987. assign V291423 = V316389. assign V702650 = V325513 + 1. assign V536829 = V341778. assign V833447 = V745875. assign V718648 = V193361 + 1. assign V750081 = V013318 + 1. assign V573587 = V531890 - 1. assign V822695 = V381957 + 1. assign V243618 = V916581. assign V838400 = V577731 + 1. assign V084216 = V094117. assign V795168 = V345934. assign V254977 = V646032 - 1. assign V771103 = V690982 + 1. assign V558296 = V689036 + 1. assign V092500 = V543557. assign V743846 = V531890. assign V536967 = V531890 + 1. assign V359250 = V202955 - 1. assign V746512 = V885061 - 1. assign V807404 = V948229 - 1. assign V140817 = V745875 - 1. assign V590508 = V325513. assign V471644 = V347640 + 1. assign V885061 = V325513 - 1. assign V076310 = V597824 - 1. assign V721077 = V776302 - 1. assign V604841 = V689036. assign V871192 = V569891 + 1. assign V701051 = V054624 + 1. assign V691215 = V543557. assign V325513 = V211184 + 1. assign V485462 = V445772 + 1. assign V689036 = V811705. assign V216651 = V455109 + 1. assign V183250 = 4. assign V347640 = V370737 + 1. assign V608931 = V833447 - 1. assign V341778 = V112987 - 1. assign V279136 = V912127 - 1. assign V463951 = V701051 + 1. assign V083461 = V422116 + 1. assign V672700 = V083461 + 1. assign V576405 = V480385. assign V071374 = V273438 + 1. assign V944196 = V330228 + 1. assign V543557 = V597824. assign V747706 = V714673 + 1. assign V867472 = V743846 - 1. assign V694620 = V746512. assign V009746 = V467822 - 1. assign V138771 = V467822 - 1. assign V555531 = V531890 - 1. assign V159312 = V838400 - 1. assign V743905 = V110781. assign V278877 = V604841 - 1. assign V422116 = V833447.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV183250 = 4;\n\nFrom these direct assignment(s), we have: \nV579889 = V183250 + 1 = 4 + 1 =5;\nNo other variables can be derived from V579889;\nNo other variables can be derived from V183250;\n\nNow we have done all the calculations. Derived variables are:\nV183250 = 4;\nV579889 = 5;\n\nNow we have finished this problem. ANSWER:\nV579889\n", "role": "assistant" } ]

[ "V378644" ]

[ { "content": "<context>\nassign V587865 = V299976 - 1. assign V964535 = V182122 - 1. assign V366244 = V876680. assign V466443 = V594939 + 1. assign V914412 = V187047 + 1. assign V187047 = V727412. assign V670974 = V389678. assign V627632 = V508956 - 1. assign V697338 = V872019. assign V234693 = V514414 + 1. assign V130666 = V796975 + 1. assign V643211 = V476635 + 1. assign V207229 = V246846 - 1. assign V877930 = V562751 - 1. assign V700365 = V930187. assign V693905 = V444844. assign V586743 = V182122 - 1. assign V088698 = V298714 + 1. assign V056663 = V594939 + 1. assign V796975 = V669086 - 1. assign V164914 = V876680 - 1. assign V938711 = V512081 - 1. assign V222621 = V045708 + 1. assign V962205 = V618322 - 1. assign V843469 = V838737 + 1. assign V564097 = V964535 + 1. assign V022253 = V536823 + 1. assign V601961 = V288603. assign V412657 = V234693 + 1. assign V533310 = V125883. assign V781332 = V398641 + 1. assign V669086 = V019450 + 1. assign V993084 = V375251 - 1. assign V495035 = V060829. assign V755594 = V444844. assign V991089 = V245275 - 1. assign V378644 = V205552 + 1. assign V622833 = V408398 - 1. assign V588297 = V877930. assign V171481 = V222621. assign V579608 = V562751 - 1. assign V089848 = V408398. assign V825374 = V001483 - 1. assign V456401 = V436462 + 1. assign V993153 = V964535 + 1. assign V685975 = V614282 + 1. assign V594939 = V182122 - 1. assign V444844 = V958198 + 1. assign V182122 = V045708 + 1. assign V763863 = V876680. assign V017028 = V997687 + 1. assign V230000 = V250451 - 1. assign V219104 = V991089 + 1. assign V219805 = V594939 - 1. assign V696281 = V938711. assign V930187 = V797200 - 1. assign V087092 = V818139. assign V172092 = V857209. assign V408398 = V045708 - 1. assign V238324 = V993084. assign V886450 = V429038. assign V398641 = V375251. assign V001483 = V408398 + 1. assign V986560 = V398641 + 1. assign V416519 = V172092 - 1. assign V331606 = V696281 + 1. assign V695145 = V564097. assign V924236 = V859394 + 1. assign V125883 = V594939 - 1. assign V563825 = V288603. assign V628200 = V246846. assign V632819 = V001483. assign V550977 = V797200 - 1. assign V246846 = V962205. assign V292207 = V444844 - 1. assign V293917 = V045708 + 1. assign V536823 = V930187 + 1. assign V442269 = V875380. assign V532014 = V586743 - 1. assign V219848 = V182122. assign V287233 = V962205 - 1. assign V722099 = V536823. assign V737829 = V684865. assign V761717 = V962244. assign V385963 = V695145. assign V189629 = V755594. assign V343098 = V877930. assign V519911 = V876680 - 1. assign V298714 = V476635 - 1. assign V250451 = V234693. assign V575880 = V657647. assign V818139 = V962205 - 1. assign V858756 = V234693. assign V857209 = V182122 + 1. assign V272233 = V436462. assign V697506 = V167390 + 1. assign V797200 = V594939 - 1. assign V512081 = V398641. assign V508956 = V618322 - 1. assign V584582 = V579608 + 1. assign V733498 = V495035. assign V357813 = V246846. assign V629755 = V219848. assign V665485 = V464504 - 1. assign V514414 = V958198 - 1. assign V713094 = V001483 + 1. assign V107539 = V562751. assign V684865 = V001483 + 1. assign V033021 = V876680 - 1. assign V476635 = V375251 - 1. assign V788070 = V130666. assign V371605 = V825374. assign V512795 = V962205 - 1. assign V335488 = V001483 + 1. assign V393309 = V207229 + 1. assign V940921 = V293917. assign V982214 = V182122. assign V614282 = V357813. assign V600543 = V508956 - 1. assign V241398 = V713094 + 1. assign V193894 = V938711 - 1. assign V245275 = V652177 - 1. assign V430590 = V366244 + 1. assign V800081 = V298714 - 1. assign V019450 = V930187 + 1. assign V652177 = V986560 - 1. assign V876680 = V408242 + 1. assign V195720 = V755594. assign V045708 = V375251. assign V033627 = V519911 - 1. assign V464504 = V045708 - 1. assign V649542 = V532014 + 1. assign V167390 = V436462. assign V522421 = V902340 + 1. assign V902340 = V164914 + 1. assign V618322 = V045708 - 1. assign V562751 = V398641. assign V389678 = V366244 - 1. assign V872019 = V876680 + 1. assign V848965 = V713094 - 1. assign V657647 = V685975 - 1. assign V838737 = V536823 + 1. assign V238244 = V755594 - 1. assign V958198 = V594939 + 1. assign V231697 = V700365. assign V288603 = V187047 + 1. assign V727412 = V964535. assign V850572 = V564097. assign V013315 = V986560. assign V393484 = V737829 + 1. assign V366257 = V476635. assign V797633 = V519911. assign V408242 = V375251 + 1. assign V936665 = V033627 + 1. assign V060829 = V800081 + 1. assign V049684 = V087092 - 1. assign V298409 = V219805 - 1. assign V997687 = V669086 - 1. assign V488974 = V848965. assign V299976 = V652177. assign V161664 = V627632. assign V205552 = 10. assign V436462 = V693905. assign V759350 = V693905 + 1. assign V429038 = V408398 + 1. assign V976507 = V299976. assign V875380 = V627632 - 1. assign V923168 = V292207 + 1. assign V600854 = V398641 - 1. assign V859394 = V684865 + 1. assign V962244 = V594939 + 1. assign V510071 = V222621 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V587865 = V299976 - 1. assign V964535 = V182122 - 1. assign V366244 = V876680. assign V466443 = V594939 + 1. assign V914412 = V187047 + 1. assign V187047 = V727412. assign V670974 = V389678. assign V627632 = V508956 - 1. assign V697338 = V872019. assign V234693 = V514414 + 1. assign V130666 = V796975 + 1. assign V643211 = V476635 + 1. assign V207229 = V246846 - 1. assign V877930 = V562751 - 1. assign V700365 = V930187. assign V693905 = V444844. assign V586743 = V182122 - 1. assign V088698 = V298714 + 1. assign V056663 = V594939 + 1. assign V796975 = V669086 - 1. assign V164914 = V876680 - 1. assign V938711 = V512081 - 1. assign V222621 = V045708 + 1. assign V962205 = V618322 - 1. assign V843469 = V838737 + 1. assign V564097 = V964535 + 1. assign V022253 = V536823 + 1. assign V601961 = V288603. assign V412657 = V234693 + 1. assign V533310 = V125883. assign V781332 = V398641 + 1. assign V669086 = V019450 + 1. assign V993084 = V375251 - 1. assign V495035 = V060829. assign V755594 = V444844. assign V991089 = V245275 - 1. assign V378644 = V205552 + 1. assign V622833 = V408398 - 1. assign V588297 = V877930. assign V171481 = V222621. assign V579608 = V562751 - 1. assign V089848 = V408398. assign V825374 = V001483 - 1. assign V456401 = V436462 + 1. assign V993153 = V964535 + 1. assign V685975 = V614282 + 1. assign V594939 = V182122 - 1. assign V444844 = V958198 + 1. assign V182122 = V045708 + 1. assign V763863 = V876680. assign V017028 = V997687 + 1. assign V230000 = V250451 - 1. assign V219104 = V991089 + 1. assign V219805 = V594939 - 1. assign V696281 = V938711. assign V930187 = V797200 - 1. assign V087092 = V818139. assign V172092 = V857209. assign V408398 = V045708 - 1. assign V238324 = V993084. assign V886450 = V429038. assign V398641 = V375251. assign V001483 = V408398 + 1. assign V986560 = V398641 + 1. assign V416519 = V172092 - 1. assign V331606 = V696281 + 1. assign V695145 = V564097. assign V924236 = V859394 + 1. assign V125883 = V594939 - 1. assign V563825 = V288603. assign V628200 = V246846. assign V632819 = V001483. assign V550977 = V797200 - 1. assign V246846 = V962205. assign V292207 = V444844 - 1. assign V293917 = V045708 + 1. assign V536823 = V930187 + 1. assign V442269 = V875380. assign V532014 = V586743 - 1. assign V219848 = V182122. assign V287233 = V962205 - 1. assign V722099 = V536823. assign V737829 = V684865. assign V761717 = V962244. assign V385963 = V695145. assign V189629 = V755594. assign V343098 = V877930. assign V519911 = V876680 - 1. assign V298714 = V476635 - 1. assign V250451 = V234693. assign V575880 = V657647. assign V818139 = V962205 - 1. assign V858756 = V234693. assign V857209 = V182122 + 1. assign V272233 = V436462. assign V697506 = V167390 + 1. assign V797200 = V594939 - 1. assign V512081 = V398641. assign V508956 = V618322 - 1. assign V584582 = V579608 + 1. assign V733498 = V495035. assign V357813 = V246846. assign V629755 = V219848. assign V665485 = V464504 - 1. assign V514414 = V958198 - 1. assign V713094 = V001483 + 1. assign V107539 = V562751. assign V684865 = V001483 + 1. assign V033021 = V876680 - 1. assign V476635 = V375251 - 1. assign V788070 = V130666. assign V371605 = V825374. assign V512795 = V962205 - 1. assign V335488 = V001483 + 1. assign V393309 = V207229 + 1. assign V940921 = V293917. assign V982214 = V182122. assign V614282 = V357813. assign V600543 = V508956 - 1. assign V241398 = V713094 + 1. assign V193894 = V938711 - 1. assign V245275 = V652177 - 1. assign V430590 = V366244 + 1. assign V800081 = V298714 - 1. assign V019450 = V930187 + 1. assign V652177 = V986560 - 1. assign V876680 = V408242 + 1. assign V195720 = V755594. assign V045708 = V375251. assign V033627 = V519911 - 1. assign V464504 = V045708 - 1. assign V649542 = V532014 + 1. assign V167390 = V436462. assign V522421 = V902340 + 1. assign V902340 = V164914 + 1. assign V618322 = V045708 - 1. assign V562751 = V398641. assign V389678 = V366244 - 1. assign V872019 = V876680 + 1. assign V848965 = V713094 - 1. assign V657647 = V685975 - 1. assign V838737 = V536823 + 1. assign V238244 = V755594 - 1. assign V958198 = V594939 + 1. assign V231697 = V700365. assign V288603 = V187047 + 1. assign V727412 = V964535. assign V850572 = V564097. assign V013315 = V986560. assign V393484 = V737829 + 1. assign V366257 = V476635. assign V797633 = V519911. assign V408242 = V375251 + 1. assign V936665 = V033627 + 1. assign V060829 = V800081 + 1. assign V049684 = V087092 - 1. assign V298409 = V219805 - 1. assign V997687 = V669086 - 1. assign V488974 = V848965. assign V299976 = V652177. assign V161664 = V627632. assign V205552 = 10. assign V436462 = V693905. assign V759350 = V693905 + 1. assign V429038 = V408398 + 1. assign V976507 = V299976. assign V875380 = V627632 - 1. assign V923168 = V292207 + 1. assign V600854 = V398641 - 1. assign V859394 = V684865 + 1. assign V962244 = V594939 + 1. assign V510071 = V222621 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV205552 = 10;\n\nFrom these direct assignment(s), we have: \nV378644 = V205552 + 1 = 10 + 1 =11;\nNo other variables can be derived from V378644;\nNo other variables can be derived from V205552;\n\nNow we have done all the calculations. Derived variables are:\nV205552 = 10;\nV378644 = 11;\n\nNow we have finished this problem. ANSWER:\nV378644\n", "role": "assistant" } ]

[ "V237873" ]

[ { "content": "<context>\nassign V637706 = V928238 - 1. assign V512475 = V879393 + 1. assign V655922 = V506040 + 1. assign V615228 = V596019. assign V246678 = V233258 + 1. assign V890098 = V601790 - 1. assign V948572 = V464054. assign V605828 = V641140. assign V511651 = V927962 - 1. assign V358322 = V595535 + 1. assign V802666 = V511651. assign V839009 = V818592 - 1. assign V244121 = V928238 - 1. assign V301384 = V506859. assign V564856 = V553889 + 1. assign V506859 = V818592. assign V733856 = V457187. assign V341596 = V718021 - 1. assign V170467 = V076278 + 1. assign V872452 = V381978 - 1. assign V059955 = V239900 - 1. assign V085476 = V983979 - 1. assign V607850 = V818592 - 1. assign V203669 = V511651. assign V113085 = V306307 + 1. assign V028572 = V513113 - 1. assign V481970 = V927962 - 1. assign V501155 = V743800 - 1. assign V765115 = V396572 + 1. assign V530252 = V026378. assign V360132 = V052879 + 1. assign V651916 = V360132 + 1. assign V394111 = V448316 - 1. assign V745417 = V615228. assign V165128 = V589307 + 1. assign V183182 = V624375 - 1. assign V117844 = V512855. assign V370739 = V481970 + 1. assign V239900 = V203669 + 1. assign V475305 = V336730. assign V141234 = V239900 + 1. assign V954691 = V513113 - 1. assign V589307 = V928238. assign V126099 = V676365. assign V408535 = V381984 + 1. assign V540914 = V513113 + 1. assign V026378 = V454698 - 1. assign V081398 = V299476 - 1. assign V697656 = V595535 + 1. assign V454698 = V511651 + 1. assign V954455 = V163736. assign V597329 = V052879 + 1. assign V208159 = V203669. assign V711697 = V879393. assign V567638 = V589071 - 1. assign V638818 = V589307. assign V293119 = V749100 - 1. assign V879393 = V306307. assign V381984 = V818592 - 1. assign V472082 = V513113 - 1. assign V396572 = V457301. assign V766635 = V163736 + 1. assign V512855 = V928238 - 1. assign V052879 = V927962. assign V404974 = V697753 + 1. assign V464054 = V118276 + 1. assign V306307 = V818592 + 1. assign V381978 = V260824. assign V435810 = V260824 + 1. assign V743800 = V624375 + 1. assign V348887 = V464054 - 1. assign V585766 = V697656 - 1. assign V749100 = V790594 + 1. assign V050532 = V081398 + 1. assign V299476 = V464054 - 1. assign V553889 = V949378 - 1. assign V017962 = V454698. assign V332336 = V530252. assign V601790 = V818592 + 1. assign V754874 = V589307 + 1. assign V623357 = V408535 + 1. assign V188621 = V697656. assign V624375 = V983979. assign V790594 = V052879 - 1. assign V000866 = V589307 + 1. assign V365149 = V595535 + 1. assign V604418 = V597329 + 1. assign V581639 = V370739 + 1. assign V237873 = V767292 - 1. assign V641140 = V370739. assign V697753 = V140308. assign V949378 = V818592 - 1. assign V342210 = V637706 - 1. assign V760542 = V567638. assign V374486 = V358322 - 1. assign V825255 = V052879 - 1. assign V118276 = V513113. assign V782334 = V617871 + 1. assign V745177 = V512855. assign V997251 = V457187 + 1. assign V790714 = V448316. assign V140308 = V718021 - 1. assign V676365 = V028572 + 1. assign V026431 = V718021 - 1. assign V019471 = V513113 - 1. assign V027477 = V754874. assign V336730 = V448316. assign V384036 = V604418 - 1. assign V260824 = V306307. assign V817885 = V597329. assign V506040 = V288335 - 1. assign V097827 = V604418. assign V750152 = V596019. assign V795698 = V596019 + 1. assign V595535 = V342210 + 1. assign V743317 = V085476 + 1. assign V233258 = V404974 + 1. assign V617871 = V589071 + 1. assign V719244 = V310944 + 1. assign V058716 = V367703 - 1. assign V863029 = V260824. assign V338861 = V795698 + 1. assign V184105 = V126099 - 1. assign V987701 = V408535 + 1. assign V136217 = V435810. assign V890042 = V512855 + 1. assign V061650 = V954691 + 1. assign V585441 = V948237 + 1. assign V196166 = V454698. assign V288335 = V589071 + 1. assign V767292 = 8. assign V842053 = V601790. assign V452296 = V028572. assign V967564 = V879393 + 1. assign V448316 = V927962 + 1. assign V749647 = V140308 - 1. assign V596019 = V408535 + 1. assign V265512 = V028572 + 1. assign V707971 = V567638. assign V457187 = V076278 - 1. assign V237608 = V825255 - 1. assign V310944 = V457187 - 1. assign V857036 = V607850 + 1. assign V240187 = V118276 + 1. assign V456502 = V182481 + 1. assign V927962 = V118276 - 1. assign V914731 = V000866 + 1. assign V757104 = V744876 - 1. assign V928238 = V983979. assign V589071 = V983979 - 1. assign V026093 = V306307. assign V182481 = V140308 + 1. assign V457301 = V512475 + 1. assign V331615 = V790594 + 1. assign V879079 = V512475 - 1. assign V754456 = V404974. assign V744876 = V879393 + 1. assign V948237 = V081398 + 1. assign V843336 = V026378. assign V059264 = V637706 - 1. assign V718021 = V457301 - 1. assign V896085 = V757104. assign V066127 = V511651 - 1. assign V023566 = V348887 - 1. assign V532631 = V203669 + 1. assign V983979 = V513113 - 1. assign V513113 = V818592 + 1. assign V367703 = V140308 - 1. assign V825591 = V927962 + 1. assign V163736 = V733856 + 1. assign V076278 = V288335 + 1. assign V144882 = V301384 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V637706 = V928238 - 1. assign V512475 = V879393 + 1. assign V655922 = V506040 + 1. assign V615228 = V596019. assign V246678 = V233258 + 1. assign V890098 = V601790 - 1. assign V948572 = V464054. assign V605828 = V641140. assign V511651 = V927962 - 1. assign V358322 = V595535 + 1. assign V802666 = V511651. assign V839009 = V818592 - 1. assign V244121 = V928238 - 1. assign V301384 = V506859. assign V564856 = V553889 + 1. assign V506859 = V818592. assign V733856 = V457187. assign V341596 = V718021 - 1. assign V170467 = V076278 + 1. assign V872452 = V381978 - 1. assign V059955 = V239900 - 1. assign V085476 = V983979 - 1. assign V607850 = V818592 - 1. assign V203669 = V511651. assign V113085 = V306307 + 1. assign V028572 = V513113 - 1. assign V481970 = V927962 - 1. assign V501155 = V743800 - 1. assign V765115 = V396572 + 1. assign V530252 = V026378. assign V360132 = V052879 + 1. assign V651916 = V360132 + 1. assign V394111 = V448316 - 1. assign V745417 = V615228. assign V165128 = V589307 + 1. assign V183182 = V624375 - 1. assign V117844 = V512855. assign V370739 = V481970 + 1. assign V239900 = V203669 + 1. assign V475305 = V336730. assign V141234 = V239900 + 1. assign V954691 = V513113 - 1. assign V589307 = V928238. assign V126099 = V676365. assign V408535 = V381984 + 1. assign V540914 = V513113 + 1. assign V026378 = V454698 - 1. assign V081398 = V299476 - 1. assign V697656 = V595535 + 1. assign V454698 = V511651 + 1. assign V954455 = V163736. assign V597329 = V052879 + 1. assign V208159 = V203669. assign V711697 = V879393. assign V567638 = V589071 - 1. assign V638818 = V589307. assign V293119 = V749100 - 1. assign V879393 = V306307. assign V381984 = V818592 - 1. assign V472082 = V513113 - 1. assign V396572 = V457301. assign V766635 = V163736 + 1. assign V512855 = V928238 - 1. assign V052879 = V927962. assign V404974 = V697753 + 1. assign V464054 = V118276 + 1. assign V306307 = V818592 + 1. assign V381978 = V260824. assign V435810 = V260824 + 1. assign V743800 = V624375 + 1. assign V348887 = V464054 - 1. assign V585766 = V697656 - 1. assign V749100 = V790594 + 1. assign V050532 = V081398 + 1. assign V299476 = V464054 - 1. assign V553889 = V949378 - 1. assign V017962 = V454698. assign V332336 = V530252. assign V601790 = V818592 + 1. assign V754874 = V589307 + 1. assign V623357 = V408535 + 1. assign V188621 = V697656. assign V624375 = V983979. assign V790594 = V052879 - 1. assign V000866 = V589307 + 1. assign V365149 = V595535 + 1. assign V604418 = V597329 + 1. assign V581639 = V370739 + 1. assign V237873 = V767292 - 1. assign V641140 = V370739. assign V697753 = V140308. assign V949378 = V818592 - 1. assign V342210 = V637706 - 1. assign V760542 = V567638. assign V374486 = V358322 - 1. assign V825255 = V052879 - 1. assign V118276 = V513113. assign V782334 = V617871 + 1. assign V745177 = V512855. assign V997251 = V457187 + 1. assign V790714 = V448316. assign V140308 = V718021 - 1. assign V676365 = V028572 + 1. assign V026431 = V718021 - 1. assign V019471 = V513113 - 1. assign V027477 = V754874. assign V336730 = V448316. assign V384036 = V604418 - 1. assign V260824 = V306307. assign V817885 = V597329. assign V506040 = V288335 - 1. assign V097827 = V604418. assign V750152 = V596019. assign V795698 = V596019 + 1. assign V595535 = V342210 + 1. assign V743317 = V085476 + 1. assign V233258 = V404974 + 1. assign V617871 = V589071 + 1. assign V719244 = V310944 + 1. assign V058716 = V367703 - 1. assign V863029 = V260824. assign V338861 = V795698 + 1. assign V184105 = V126099 - 1. assign V987701 = V408535 + 1. assign V136217 = V435810. assign V890042 = V512855 + 1. assign V061650 = V954691 + 1. assign V585441 = V948237 + 1. assign V196166 = V454698. assign V288335 = V589071 + 1. assign V767292 = 8. assign V842053 = V601790. assign V452296 = V028572. assign V967564 = V879393 + 1. assign V448316 = V927962 + 1. assign V749647 = V140308 - 1. assign V596019 = V408535 + 1. assign V265512 = V028572 + 1. assign V707971 = V567638. assign V457187 = V076278 - 1. assign V237608 = V825255 - 1. assign V310944 = V457187 - 1. assign V857036 = V607850 + 1. assign V240187 = V118276 + 1. assign V456502 = V182481 + 1. assign V927962 = V118276 - 1. assign V914731 = V000866 + 1. assign V757104 = V744876 - 1. assign V928238 = V983979. assign V589071 = V983979 - 1. assign V026093 = V306307. assign V182481 = V140308 + 1. assign V457301 = V512475 + 1. assign V331615 = V790594 + 1. assign V879079 = V512475 - 1. assign V754456 = V404974. assign V744876 = V879393 + 1. assign V948237 = V081398 + 1. assign V843336 = V026378. assign V059264 = V637706 - 1. assign V718021 = V457301 - 1. assign V896085 = V757104. assign V066127 = V511651 - 1. assign V023566 = V348887 - 1. assign V532631 = V203669 + 1. assign V983979 = V513113 - 1. assign V513113 = V818592 + 1. assign V367703 = V140308 - 1. assign V825591 = V927962 + 1. assign V163736 = V733856 + 1. assign V076278 = V288335 + 1. assign V144882 = V301384 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV767292 = 8;\n\nFrom these direct assignment(s), we have: \nV237873 = V767292 - 1 = 8 - 1 =7;\nNo other variables can be derived from V237873;\nNo other variables can be derived from V767292;\n\nNow we have done all the calculations. Derived variables are:\nV767292 = 8;\nV237873 = 7;\n\nNow we have finished this problem. ANSWER:\nV237873\n", "role": "assistant" } ]

[ "V752232", "V690471" ]

[ { "content": "<context>\nassign V388749 = V695784. assign V784463 = V798341. assign V987794 = V463173 + 1. assign V230095 = V125183 - 1. assign V798341 = V088898 + 1. assign V579142 = V762759 + 1. assign V240219 = V868489 + 1. assign V922425 = V268339 + 1. assign V683197 = V032148. assign V569439 = V952368 - 1. assign V421391 = V125183 + 1. assign V410090 = V606206 - 1. assign V570218 = V952368 - 1. assign V869769 = V336895 - 1. assign V359975 = V636287 - 1. assign V764810 = V611076 + 1. assign V393462 = V676356 + 1. assign V958030 = V524825. assign V247915 = V912407 - 1. assign V347239 = V327036 + 1. assign V797933 = V305096 + 1. assign V178074 = V906754 - 1. assign V570478 = V683197. assign V336895 = V194968. assign V840500 = V961616. assign V663726 = V683197 - 1. assign V590403 = V606206. assign V623389 = V421391. assign V131471 = V606206 - 1. assign V032148 = V125183 - 1. assign V277916 = V262686 + 1. assign V648751 = V737470 - 1. assign V957362 = V421391. assign V194968 = V676356 + 1. assign V443063 = V031739 + 1. assign V568621 = V853349 + 1. assign V631105 = V257570. assign V571044 = V125183. assign V047039 = V762759 + 1. assign V484550 = V791746. assign V906754 = V840500 + 1. assign V421402 = V338497 + 1. assign V868489 = V257570. assign V227784 = V032148. assign V587569 = V227784. assign V946937 = V268339 + 1. assign V831525 = V868489 + 1. assign V545138 = V869769 + 1. assign V114472 = V957362 - 1. assign V611076 = V114472 - 1. assign V581763 = V088898. assign V993868 = V581763 + 1. assign V602908 = V129247. assign V752057 = V791746 - 1. assign V853349 = V823801 + 1. assign V815423 = V336895 - 1. assign V555560 = V946937 + 1. assign V464493 = V958366 + 1. assign V261363 = V443063 + 1. assign V010257 = V307917 + 1. assign V542522 = V691611 - 1. assign V116551 = V240219 - 1. assign V809497 = V119146 + 1. assign V786056 = V421402 + 1. assign V051252 = V129247. assign V796099 = V088898 + 1. assign V737470 = V965628 + 1. assign V338497 = V798341. assign V690471 = V752232. assign V498340 = V240219 - 1. assign V119146 = V798341. assign V663612 = V032148. assign V791746 = V336895 - 1. assign V069114 = V307917 + 1. assign V835176 = V691611 - 1. assign V511477 = V784463 - 1. assign V326621 = V414178. assign V912407 = V399709 - 1. assign V185679 = V010267 - 1. assign V504895 = V304505 + 1. assign V524825 = V506111. assign V372709 = V173518 + 1. assign V680868 = V116551. assign V965628 = V868489 - 1. assign V221624 = V922425. assign V887478 = V168451 + 1. assign V594694 = V571044 + 1. assign V889670 = V064796 - 1. assign V166052 = V946937 - 1. assign V689821 = V791746 - 1. assign V304505 = V602180 + 1. assign V940554 = V606206. assign V305096 = V683197 + 1. assign V952368 = V307917 - 1. assign V606206 = V125183. assign V281166 = V797933 + 1. assign V158867 = V606206. assign V602180 = V421391 + 1. assign V113079 = V125183 - 1. assign V168451 = V125183 + 1. assign V399659 = V940554 - 1. assign V048784 = V273586 - 1. assign V762759 = V327036 + 1. assign V118781 = V257570 - 1. assign V990025 = V273586 + 1. assign V812600 = V965628 + 1. assign V345459 = V683197 + 1. assign V129247 = V631105. assign V414178 = V809497 + 1. assign V887982 = V072985 - 1. assign V816132 = V594694 + 1. assign V327036 = V602180 - 1. assign V225512 = V835176. assign V334913 = V784463 - 1. assign V948296 = V676356 - 1. assign V081216 = V327036 + 1. assign V823801 = V168451 - 1. assign V262686 = V284579. assign V625223 = V463173. assign V088898 = V125183 + 1. assign V687607 = V594694 + 1. assign V183249 = V153300 - 1. assign V090732 = V010267. assign V794176 = V796099 - 1. assign V010267 = V798341 - 1. assign V889342 = V687607 - 1. assign V072985 = V116551. assign V695784 = V993868. assign V064796 = V570478 + 1. assign V351708 = V966092. assign V399709 = V587569 - 1. assign V961616 = V153300 + 1. assign V284579 = V922425 + 1. assign V268339 = V307917 - 1. assign V031739 = V594694 + 1. assign V966092 = V798341 + 1. assign V273586 = V116551 - 1. assign V849951 = V594694 - 1. assign V515564 = V796099 + 1. assign V752232 = 9. assign V636287 = V581763. assign V052330 = V590403. assign V958366 = V227784. assign V691611 = V957362 + 1. assign V220799 = V957362. assign V307917 = V606206. assign V257570 = V032148 + 1. assign V982122 = V809497 + 1. assign V224542 = V414178 - 1. assign V676356 = V032148 - 1. assign V153300 = V257570 - 1. assign V463173 = V737470 + 1. assign V015820 = V173518 + 1. assign V627214 = V010267 - 1. assign V510008 = V563891 - 1. assign V774501 = V687607. assign V723542 = V305096 - 1. assign V759479 = V336895. assign V563891 = V952368. assign V506111 = V796099 + 1. assign V593500 = V305096. assign V765912 = V759479. assign V203313 = V952368. assign V173518 = V421391 - 1. assign V929022 = V257570. assign V006665 = V594694 - 1. assign V681983 = V421402. assign V732554 = V562774. assign V562774 = V957362 + 1. assign V600598 = V823801 - 1. assign V565974 = V676356 + 1. assign V620592 = V178074 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V388749 = V695784. assign V784463 = V798341. assign V987794 = V463173 + 1. assign V230095 = V125183 - 1. assign V798341 = V088898 + 1. assign V579142 = V762759 + 1. assign V240219 = V868489 + 1. assign V922425 = V268339 + 1. assign V683197 = V032148. assign V569439 = V952368 - 1. assign V421391 = V125183 + 1. assign V410090 = V606206 - 1. assign V570218 = V952368 - 1. assign V869769 = V336895 - 1. assign V359975 = V636287 - 1. assign V764810 = V611076 + 1. assign V393462 = V676356 + 1. assign V958030 = V524825. assign V247915 = V912407 - 1. assign V347239 = V327036 + 1. assign V797933 = V305096 + 1. assign V178074 = V906754 - 1. assign V570478 = V683197. assign V336895 = V194968. assign V840500 = V961616. assign V663726 = V683197 - 1. assign V590403 = V606206. assign V623389 = V421391. assign V131471 = V606206 - 1. assign V032148 = V125183 - 1. assign V277916 = V262686 + 1. assign V648751 = V737470 - 1. assign V957362 = V421391. assign V194968 = V676356 + 1. assign V443063 = V031739 + 1. assign V568621 = V853349 + 1. assign V631105 = V257570. assign V571044 = V125183. assign V047039 = V762759 + 1. assign V484550 = V791746. assign V906754 = V840500 + 1. assign V421402 = V338497 + 1. assign V868489 = V257570. assign V227784 = V032148. assign V587569 = V227784. assign V946937 = V268339 + 1. assign V831525 = V868489 + 1. assign V545138 = V869769 + 1. assign V114472 = V957362 - 1. assign V611076 = V114472 - 1. assign V581763 = V088898. assign V993868 = V581763 + 1. assign V602908 = V129247. assign V752057 = V791746 - 1. assign V853349 = V823801 + 1. assign V815423 = V336895 - 1. assign V555560 = V946937 + 1. assign V464493 = V958366 + 1. assign V261363 = V443063 + 1. assign V010257 = V307917 + 1. assign V542522 = V691611 - 1. assign V116551 = V240219 - 1. assign V809497 = V119146 + 1. assign V786056 = V421402 + 1. assign V051252 = V129247. assign V796099 = V088898 + 1. assign V737470 = V965628 + 1. assign V338497 = V798341. assign V690471 = V752232. assign V498340 = V240219 - 1. assign V119146 = V798341. assign V663612 = V032148. assign V791746 = V336895 - 1. assign V069114 = V307917 + 1. assign V835176 = V691611 - 1. assign V511477 = V784463 - 1. assign V326621 = V414178. assign V912407 = V399709 - 1. assign V185679 = V010267 - 1. assign V504895 = V304505 + 1. assign V524825 = V506111. assign V372709 = V173518 + 1. assign V680868 = V116551. assign V965628 = V868489 - 1. assign V221624 = V922425. assign V887478 = V168451 + 1. assign V594694 = V571044 + 1. assign V889670 = V064796 - 1. assign V166052 = V946937 - 1. assign V689821 = V791746 - 1. assign V304505 = V602180 + 1. assign V940554 = V606206. assign V305096 = V683197 + 1. assign V952368 = V307917 - 1. assign V606206 = V125183. assign V281166 = V797933 + 1. assign V158867 = V606206. assign V602180 = V421391 + 1. assign V113079 = V125183 - 1. assign V168451 = V125183 + 1. assign V399659 = V940554 - 1. assign V048784 = V273586 - 1. assign V762759 = V327036 + 1. assign V118781 = V257570 - 1. assign V990025 = V273586 + 1. assign V812600 = V965628 + 1. assign V345459 = V683197 + 1. assign V129247 = V631105. assign V414178 = V809497 + 1. assign V887982 = V072985 - 1. assign V816132 = V594694 + 1. assign V327036 = V602180 - 1. assign V225512 = V835176. assign V334913 = V784463 - 1. assign V948296 = V676356 - 1. assign V081216 = V327036 + 1. assign V823801 = V168451 - 1. assign V262686 = V284579. assign V625223 = V463173. assign V088898 = V125183 + 1. assign V687607 = V594694 + 1. assign V183249 = V153300 - 1. assign V090732 = V010267. assign V794176 = V796099 - 1. assign V010267 = V798341 - 1. assign V889342 = V687607 - 1. assign V072985 = V116551. assign V695784 = V993868. assign V064796 = V570478 + 1. assign V351708 = V966092. assign V399709 = V587569 - 1. assign V961616 = V153300 + 1. assign V284579 = V922425 + 1. assign V268339 = V307917 - 1. assign V031739 = V594694 + 1. assign V966092 = V798341 + 1. assign V273586 = V116551 - 1. assign V849951 = V594694 - 1. assign V515564 = V796099 + 1. assign V752232 = 9. assign V636287 = V581763. assign V052330 = V590403. assign V958366 = V227784. assign V691611 = V957362 + 1. assign V220799 = V957362. assign V307917 = V606206. assign V257570 = V032148 + 1. assign V982122 = V809497 + 1. assign V224542 = V414178 - 1. assign V676356 = V032148 - 1. assign V153300 = V257570 - 1. assign V463173 = V737470 + 1. assign V015820 = V173518 + 1. assign V627214 = V010267 - 1. assign V510008 = V563891 - 1. assign V774501 = V687607. assign V723542 = V305096 - 1. assign V759479 = V336895. assign V563891 = V952368. assign V506111 = V796099 + 1. assign V593500 = V305096. assign V765912 = V759479. assign V203313 = V952368. assign V173518 = V421391 - 1. assign V929022 = V257570. assign V006665 = V594694 - 1. assign V681983 = V421402. assign V732554 = V562774. assign V562774 = V957362 + 1. assign V600598 = V823801 - 1. assign V565974 = V676356 + 1. assign V620592 = V178074 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV752232 = 9;\n\nFrom these direct assignment(s), we have: \nV690471 = V752232 = 9;\nNo other variables can be derived from V690471;\nNo other variables can be derived from V752232;\n\nNow we have done all the calculations. Derived variables are:\nV752232 = 9;\nV690471 = 9;\n\nNow we have finished this problem. ANSWER:\nV752232, V690471\n", "role": "assistant" } ]

[ "V360555" ]

[ { "content": "<context>\nassign V961463 = V435650. assign V787897 = V763395 + 1. assign V056918 = V490529. assign V039338 = V974597 - 1. assign V253656 = V332865. assign V887482 = V491351 + 1. assign V560724 = V684754 - 1. assign V551597 = V287726 + 1. assign V838985 = V004182 - 1. assign V552920 = V981440 - 1. assign V303701 = V967275 - 1. assign V662253 = V921078 - 1. assign V878247 = V253152 + 1. assign V959694 = V196298 + 1. assign V364414 = V214716 - 1. assign V251239 = V684754 + 1. assign V907872 = V069915 + 1. assign V303637 = V557207 + 1. assign V087679 = V041957. assign V283390 = V538556 - 1. assign V583731 = V087679. assign V562192 = V903030 + 1. assign V491351 = V551597 + 1. assign V253152 = V125265 + 1. assign V248231 = V945161 - 1. assign V966386 = V377797 - 1. assign V139794 = V830782 - 1. assign V193140 = V403557. assign V183961 = V324617. assign V599050 = V551597 - 1. assign V340583 = V580887 + 1. assign V099609 = V786670 - 1. assign V603498 = V470425. assign V125265 = V551597 - 1. assign V377797 = V087679 + 1. assign V500752 = V155763 + 1. assign V287726 = V332865. assign V174041 = V945161. assign V268844 = V377797 - 1. assign V421719 = V685092 + 1. assign V324617 = V291196. assign V814607 = V174041 - 1. assign V343347 = V814607. assign V436782 = V494032 + 1. assign V990097 = V484622 + 1. assign V735027 = V987533 - 1. assign V670112 = V440409. assign V931509 = V722524 - 1. assign V015585 = V006187. assign V076776 = V193140. assign V030709 = V491351. assign V004182 = V428283. assign V360555 = V192766 + 1. assign V331362 = V123356 + 1. assign V154954 = V786670 - 1. assign V017533 = V403510. assign V967275 = V586227. assign V077654 = V030709 + 1. assign V854449 = V434553 - 1. assign V222265 = V030709. assign V490529 = V527077. assign V563512 = V041957. assign V434553 = V184518. assign V956565 = V981440. assign V500746 = V736926 - 1. assign V253296 = V845668. assign V155763 = V360643 + 1. assign V525234 = V580887. assign V317820 = V928035. assign V736926 = V575317. assign V580887 = V581605. assign V786670 = V581605 - 1. assign V403510 = V291196. assign V549652 = V494032 - 1. assign V192224 = V763395 - 1. assign V527077 = V928035. assign V589137 = V287726. assign V573977 = V041957. assign V484622 = V873960. assign V209331 = V981440 - 1. assign V480979 = V331362. assign V987533 = V291196 - 1. assign V488741 = V961463 - 1. assign V608713 = V910690 + 1. assign V176028 = V903030. assign V903030 = V706018 + 1. assign V873960 = V332865 - 1. assign V660037 = V581605. assign V920707 = V956565 - 1. assign V184518 = V470425 - 1. assign V555822 = V639469 - 1. assign V706018 = V491351. assign V123356 = V928035. assign V454415 = V981440 - 1. assign V614551 = V685092 - 1. assign V919453 = V154954 - 1. assign V577209 = V324617 - 1. assign V020026 = V435650 + 1. assign V037900 = V491351 - 1. assign V006936 = V580887 + 1. assign V606488 = V490529 + 1. assign V291196 = V332865 - 1. assign V069915 = V030709 - 1. assign V006187 = V920707 - 1. assign V403015 = V184518 + 1. assign V508796 = V974597 + 1. assign V403557 = V919453 - 1. assign V435650 = V910690 + 1. assign V830782 = V441289 - 1. assign V802895 = V981440 + 1. assign V135408 = V172696 - 1. assign V014411 = V403510. assign V897035 = V303637 + 1. assign V845668 = V525234 - 1. assign V639469 = V981440. assign V040106 = V580887. assign V196298 = V928035 - 1. assign V114309 = V470425. assign V974597 = V660037. assign V575317 = V959694 + 1. assign V195720 = V527077 + 1. assign V913013 = V685092 - 1. assign V428283 = V557207 + 1. assign V250682 = V685092 + 1. assign V945161 = V332865 - 1. assign V766142 = V099609. assign V699481 = V183961. assign V041957 = V580887 + 1. assign V172696 = V696443 + 1. assign V685092 = V332865 - 1. assign V557207 = V903030 - 1. assign V684754 = V763395. assign V722524 = V248231 - 1. assign V763395 = V525234 - 1. assign V579824 = V639469. assign V981440 = V551597. assign V890694 = V303637 - 1. assign V809226 = V324617 + 1. assign V696443 = V551597 + 1. assign V257881 = V583731 + 1. assign V214716 = V440409 + 1. assign V273838 = V606488 + 1. assign V800000 = V907872 - 1. assign V209850 = V974597. assign V440409 = V484622 + 1. assign V921078 = V956565. assign V942717 = V787897. assign V538556 = V696443. assign V360643 = V172696 + 1. assign V969025 = V114309 + 1. assign V928035 = V873960 + 1. assign V586227 = V332865 - 1. assign V143422 = V981440 - 1. assign V069648 = V639469. assign V896019 = V919453 + 1. assign V910690 = V903030 + 1. assign V781706 = V332865 - 1. assign V333049 = V030709 + 1. assign V939891 = V580887 - 1. assign V110525 = V209331 - 1. assign V192766 = 4. assign V993267 = V551597 + 1. assign V581605 = V873960. assign V878494 = V403510 + 1. assign V826113 = V331362. assign V441289 = V340583. assign V843274 = V919453. assign V765379 = V183961. assign V265048 = V434553 + 1. assign V057913 = V333049 + 1. assign V494032 = V555822 + 1. assign V470425 = V580887 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V961463 = V435650. assign V787897 = V763395 + 1. assign V056918 = V490529. assign V039338 = V974597 - 1. assign V253656 = V332865. assign V887482 = V491351 + 1. assign V560724 = V684754 - 1. assign V551597 = V287726 + 1. assign V838985 = V004182 - 1. assign V552920 = V981440 - 1. assign V303701 = V967275 - 1. assign V662253 = V921078 - 1. assign V878247 = V253152 + 1. assign V959694 = V196298 + 1. assign V364414 = V214716 - 1. assign V251239 = V684754 + 1. assign V907872 = V069915 + 1. assign V303637 = V557207 + 1. assign V087679 = V041957. assign V283390 = V538556 - 1. assign V583731 = V087679. assign V562192 = V903030 + 1. assign V491351 = V551597 + 1. assign V253152 = V125265 + 1. assign V248231 = V945161 - 1. assign V966386 = V377797 - 1. assign V139794 = V830782 - 1. assign V193140 = V403557. assign V183961 = V324617. assign V599050 = V551597 - 1. assign V340583 = V580887 + 1. assign V099609 = V786670 - 1. assign V603498 = V470425. assign V125265 = V551597 - 1. assign V377797 = V087679 + 1. assign V500752 = V155763 + 1. assign V287726 = V332865. assign V174041 = V945161. assign V268844 = V377797 - 1. assign V421719 = V685092 + 1. assign V324617 = V291196. assign V814607 = V174041 - 1. assign V343347 = V814607. assign V436782 = V494032 + 1. assign V990097 = V484622 + 1. assign V735027 = V987533 - 1. assign V670112 = V440409. assign V931509 = V722524 - 1. assign V015585 = V006187. assign V076776 = V193140. assign V030709 = V491351. assign V004182 = V428283. assign V360555 = V192766 + 1. assign V331362 = V123356 + 1. assign V154954 = V786670 - 1. assign V017533 = V403510. assign V967275 = V586227. assign V077654 = V030709 + 1. assign V854449 = V434553 - 1. assign V222265 = V030709. assign V490529 = V527077. assign V563512 = V041957. assign V434553 = V184518. assign V956565 = V981440. assign V500746 = V736926 - 1. assign V253296 = V845668. assign V155763 = V360643 + 1. assign V525234 = V580887. assign V317820 = V928035. assign V736926 = V575317. assign V580887 = V581605. assign V786670 = V581605 - 1. assign V403510 = V291196. assign V549652 = V494032 - 1. assign V192224 = V763395 - 1. assign V527077 = V928035. assign V589137 = V287726. assign V573977 = V041957. assign V484622 = V873960. assign V209331 = V981440 - 1. assign V480979 = V331362. assign V987533 = V291196 - 1. assign V488741 = V961463 - 1. assign V608713 = V910690 + 1. assign V176028 = V903030. assign V903030 = V706018 + 1. assign V873960 = V332865 - 1. assign V660037 = V581605. assign V920707 = V956565 - 1. assign V184518 = V470425 - 1. assign V555822 = V639469 - 1. assign V706018 = V491351. assign V123356 = V928035. assign V454415 = V981440 - 1. assign V614551 = V685092 - 1. assign V919453 = V154954 - 1. assign V577209 = V324617 - 1. assign V020026 = V435650 + 1. assign V037900 = V491351 - 1. assign V006936 = V580887 + 1. assign V606488 = V490529 + 1. assign V291196 = V332865 - 1. assign V069915 = V030709 - 1. assign V006187 = V920707 - 1. assign V403015 = V184518 + 1. assign V508796 = V974597 + 1. assign V403557 = V919453 - 1. assign V435650 = V910690 + 1. assign V830782 = V441289 - 1. assign V802895 = V981440 + 1. assign V135408 = V172696 - 1. assign V014411 = V403510. assign V897035 = V303637 + 1. assign V845668 = V525234 - 1. assign V639469 = V981440. assign V040106 = V580887. assign V196298 = V928035 - 1. assign V114309 = V470425. assign V974597 = V660037. assign V575317 = V959694 + 1. assign V195720 = V527077 + 1. assign V913013 = V685092 - 1. assign V428283 = V557207 + 1. assign V250682 = V685092 + 1. assign V945161 = V332865 - 1. assign V766142 = V099609. assign V699481 = V183961. assign V041957 = V580887 + 1. assign V172696 = V696443 + 1. assign V685092 = V332865 - 1. assign V557207 = V903030 - 1. assign V684754 = V763395. assign V722524 = V248231 - 1. assign V763395 = V525234 - 1. assign V579824 = V639469. assign V981440 = V551597. assign V890694 = V303637 - 1. assign V809226 = V324617 + 1. assign V696443 = V551597 + 1. assign V257881 = V583731 + 1. assign V214716 = V440409 + 1. assign V273838 = V606488 + 1. assign V800000 = V907872 - 1. assign V209850 = V974597. assign V440409 = V484622 + 1. assign V921078 = V956565. assign V942717 = V787897. assign V538556 = V696443. assign V360643 = V172696 + 1. assign V969025 = V114309 + 1. assign V928035 = V873960 + 1. assign V586227 = V332865 - 1. assign V143422 = V981440 - 1. assign V069648 = V639469. assign V896019 = V919453 + 1. assign V910690 = V903030 + 1. assign V781706 = V332865 - 1. assign V333049 = V030709 + 1. assign V939891 = V580887 - 1. assign V110525 = V209331 - 1. assign V192766 = 4. assign V993267 = V551597 + 1. assign V581605 = V873960. assign V878494 = V403510 + 1. assign V826113 = V331362. assign V441289 = V340583. assign V843274 = V919453. assign V765379 = V183961. assign V265048 = V434553 + 1. assign V057913 = V333049 + 1. assign V494032 = V555822 + 1. assign V470425 = V580887 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV192766 = 4;\n\nFrom these direct assignment(s), we have: \nV360555 = V192766 + 1 = 4 + 1 =5;\nNo other variables can be derived from V360555;\nNo other variables can be derived from V192766;\n\nNow we have done all the calculations. Derived variables are:\nV192766 = 4;\nV360555 = 5;\n\nNow we have finished this problem. ANSWER:\nV360555\n", "role": "assistant" } ]

[ "V375258", "V127017" ]

[ { "content": "<context>\nassign V805753 = V056301 - 1. assign V931596 = V604194 - 1. assign V432274 = V927441 + 1. assign V388767 = V713703. assign V192844 = V370263 - 1. assign V729772 = V150349 + 1. assign V207147 = V547143 - 1. assign V037933 = V814160 - 1. assign V301194 = V920191 + 1. assign V510051 = V150349 - 1. assign V945983 = V611086 - 1. assign V766619 = V820522. assign V514425 = V668067 + 1. assign V758827 = V782109 + 1. assign V331597 = V131324. assign V935295 = V542254 - 1. assign V861417 = V541742 - 1. assign V836526 = V820522 - 1. assign V357513 = V229179 + 1. assign V557774 = V836526 + 1. assign V757559 = V593714. assign V229179 = V927441 - 1. assign V201091 = V611086 - 1. assign V463489 = V865233 - 1. assign V370263 = V643572 + 1. assign V149737 = V482484 - 1. assign V374400 = V201091 + 1. assign V707509 = V307558 - 1. assign V799479 = V867787 + 1. assign V392880 = V725798 - 1. assign V430442 = V154256. assign V771188 = V334915 + 1. assign V782109 = V624189 + 1. assign V102538 = V707509. assign V479789 = V430358 - 1. assign V604088 = V073390 - 1. assign V125288 = V707509 + 1. assign V196790 = V192844 + 1. assign V242736 = V753946. assign V547143 = V289719 + 1. assign V424265 = V106520 + 1. assign V910383 = V933698. assign V613786 = V128977. assign V725798 = V713703. assign V263022 = V644012 + 1. assign V668087 = V307558. assign V154256 = V593714 + 1. assign V611086 = V933698 + 1. assign V683094 = V927441 + 1. assign V038410 = V991705. assign V307558 = V128977 - 1. assign V961475 = V935986. assign V298973 = V307558 + 1. assign V521776 = V273085 - 1. assign V153018 = V611086. assign V662335 = V267647 + 1. assign V602803 = V376521 - 1. assign V228348 = V027894. assign V273085 = V027894 - 1. assign V926733 = V902387 - 1. assign V493352 = V933698. assign V593714 = V766619 + 1. assign V430358 = V331597 - 1. assign V673491 = V844129. assign V604194 = V027894 + 1. assign V554726 = V432274 - 1. assign V670870 = V216520 - 1. assign V543479 = V307558 + 1. assign V485467 = V542254 - 1. assign V559582 = V284173 + 1. assign V624189 = V357513. assign V209321 = V799479 - 1. assign V757835 = V500974 - 1. assign V927441 = V820522 - 1. assign V138666 = V557774. assign V619533 = V662335 - 1. assign V465522 = V608598 + 1. assign V255115 = V935986. assign V753946 = V713703 - 1. assign V796484 = V910383. assign V500974 = V153018. assign V244271 = V619533 + 1. assign V933624 = V796484 + 1. assign V541742 = V927441 + 1. assign V727115 = V935986 - 1. assign V054918 = V229179. assign V375258 = 2. assign V184828 = V542254 + 1. assign V454620 = V844129. assign V740401 = V128977 - 1. assign V199674 = V757559. assign V150349 = V307558. assign V641580 = V229179 - 1. assign V132858 = V927441. assign V433226 = V216520 + 1. assign V254224 = V766619 + 1. assign V532810 = V668087 + 1. assign V799749 = V307558 + 1. assign V541906 = V037933 + 1. assign V131324 = V264488. assign V376521 = V153018 - 1. assign V814160 = V158867 - 1. assign V289719 = V564992 + 1. assign V004184 = V844129 + 1. assign V566476 = V106520 + 1. assign V127017 = V375258. assign V902387 = V027894 - 1. assign V046796 = V814160 - 1. assign V693897 = V673491 + 1. assign V106520 = V153018. assign V267647 = V836526. assign V488921 = V131324 - 1. assign V862073 = V935986. assign V056423 = V201091 + 1. assign V004316 = V541742. assign V284173 = V482484 + 1. assign V607817 = V713703 + 1. assign V909513 = V766619. assign V901692 = V454620 - 1. assign V542254 = V935986. assign V865233 = V643572 - 1. assign V564992 = V432274. assign V991705 = V713703. assign V298915 = V611086 - 1. assign V920191 = V370263. assign V973350 = V388884. assign V329629 = V559582. assign V764367 = V604088 + 1. assign V027894 = V862073 + 1. assign V867787 = V865233 - 1. assign V844129 = V935986 + 1. assign V352155 = V319078 - 1. assign V254899 = V844129 - 1. assign V573607 = V038654. assign V839530 = V128977. assign V094842 = V662335. assign V765128 = V820522 - 1. assign V128977 = V432274 - 1. assign V162390 = V131324. assign V319078 = V131324 - 1. assign V388884 = V432274 + 1. assign V440721 = V521776 + 1. assign V933698 = V935986. assign V241123 = V277547 + 1. assign V668067 = V799749. assign V108000 = V765128 - 1. assign V334915 = V713703 + 1. assign V935986 = V820522. assign V264488 = V927441. assign V270254 = V154256 - 1. assign V387387 = V547143 + 1. assign V399353 = V004184. assign V643572 = V820522 - 1. assign V923011 = V162390. assign V482484 = V707509 - 1. assign V158867 = V865233. assign V644012 = V836526. assign V366708 = V920191 - 1. assign V581195 = V926667. assign V046112 = V910383. assign V665643 = V216520 - 1. assign V608598 = V128977 + 1. assign V959383 = V581195. assign V073390 = V319078 - 1. assign V216520 = V229179 + 1. assign V277547 = V740401 - 1. assign V713703 = V933698. assign V038654 = V263022. assign V533017 = V027894. assign V056301 = V432274. assign V926667 = V554726. assign V133248 = V106520 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V805753 = V056301 - 1. assign V931596 = V604194 - 1. assign V432274 = V927441 + 1. assign V388767 = V713703. assign V192844 = V370263 - 1. assign V729772 = V150349 + 1. assign V207147 = V547143 - 1. assign V037933 = V814160 - 1. assign V301194 = V920191 + 1. assign V510051 = V150349 - 1. assign V945983 = V611086 - 1. assign V766619 = V820522. assign V514425 = V668067 + 1. assign V758827 = V782109 + 1. assign V331597 = V131324. assign V935295 = V542254 - 1. assign V861417 = V541742 - 1. assign V836526 = V820522 - 1. assign V357513 = V229179 + 1. assign V557774 = V836526 + 1. assign V757559 = V593714. assign V229179 = V927441 - 1. assign V201091 = V611086 - 1. assign V463489 = V865233 - 1. assign V370263 = V643572 + 1. assign V149737 = V482484 - 1. assign V374400 = V201091 + 1. assign V707509 = V307558 - 1. assign V799479 = V867787 + 1. assign V392880 = V725798 - 1. assign V430442 = V154256. assign V771188 = V334915 + 1. assign V782109 = V624189 + 1. assign V102538 = V707509. assign V479789 = V430358 - 1. assign V604088 = V073390 - 1. assign V125288 = V707509 + 1. assign V196790 = V192844 + 1. assign V242736 = V753946. assign V547143 = V289719 + 1. assign V424265 = V106520 + 1. assign V910383 = V933698. assign V613786 = V128977. assign V725798 = V713703. assign V263022 = V644012 + 1. assign V668087 = V307558. assign V154256 = V593714 + 1. assign V611086 = V933698 + 1. assign V683094 = V927441 + 1. assign V038410 = V991705. assign V307558 = V128977 - 1. assign V961475 = V935986. assign V298973 = V307558 + 1. assign V521776 = V273085 - 1. assign V153018 = V611086. assign V662335 = V267647 + 1. assign V602803 = V376521 - 1. assign V228348 = V027894. assign V273085 = V027894 - 1. assign V926733 = V902387 - 1. assign V493352 = V933698. assign V593714 = V766619 + 1. assign V430358 = V331597 - 1. assign V673491 = V844129. assign V604194 = V027894 + 1. assign V554726 = V432274 - 1. assign V670870 = V216520 - 1. assign V543479 = V307558 + 1. assign V485467 = V542254 - 1. assign V559582 = V284173 + 1. assign V624189 = V357513. assign V209321 = V799479 - 1. assign V757835 = V500974 - 1. assign V927441 = V820522 - 1. assign V138666 = V557774. assign V619533 = V662335 - 1. assign V465522 = V608598 + 1. assign V255115 = V935986. assign V753946 = V713703 - 1. assign V796484 = V910383. assign V500974 = V153018. assign V244271 = V619533 + 1. assign V933624 = V796484 + 1. assign V541742 = V927441 + 1. assign V727115 = V935986 - 1. assign V054918 = V229179. assign V375258 = 2. assign V184828 = V542254 + 1. assign V454620 = V844129. assign V740401 = V128977 - 1. assign V199674 = V757559. assign V150349 = V307558. assign V641580 = V229179 - 1. assign V132858 = V927441. assign V433226 = V216520 + 1. assign V254224 = V766619 + 1. assign V532810 = V668087 + 1. assign V799749 = V307558 + 1. assign V541906 = V037933 + 1. assign V131324 = V264488. assign V376521 = V153018 - 1. assign V814160 = V158867 - 1. assign V289719 = V564992 + 1. assign V004184 = V844129 + 1. assign V566476 = V106520 + 1. assign V127017 = V375258. assign V902387 = V027894 - 1. assign V046796 = V814160 - 1. assign V693897 = V673491 + 1. assign V106520 = V153018. assign V267647 = V836526. assign V488921 = V131324 - 1. assign V862073 = V935986. assign V056423 = V201091 + 1. assign V004316 = V541742. assign V284173 = V482484 + 1. assign V607817 = V713703 + 1. assign V909513 = V766619. assign V901692 = V454620 - 1. assign V542254 = V935986. assign V865233 = V643572 - 1. assign V564992 = V432274. assign V991705 = V713703. assign V298915 = V611086 - 1. assign V920191 = V370263. assign V973350 = V388884. assign V329629 = V559582. assign V764367 = V604088 + 1. assign V027894 = V862073 + 1. assign V867787 = V865233 - 1. assign V844129 = V935986 + 1. assign V352155 = V319078 - 1. assign V254899 = V844129 - 1. assign V573607 = V038654. assign V839530 = V128977. assign V094842 = V662335. assign V765128 = V820522 - 1. assign V128977 = V432274 - 1. assign V162390 = V131324. assign V319078 = V131324 - 1. assign V388884 = V432274 + 1. assign V440721 = V521776 + 1. assign V933698 = V935986. assign V241123 = V277547 + 1. assign V668067 = V799749. assign V108000 = V765128 - 1. assign V334915 = V713703 + 1. assign V935986 = V820522. assign V264488 = V927441. assign V270254 = V154256 - 1. assign V387387 = V547143 + 1. assign V399353 = V004184. assign V643572 = V820522 - 1. assign V923011 = V162390. assign V482484 = V707509 - 1. assign V158867 = V865233. assign V644012 = V836526. assign V366708 = V920191 - 1. assign V581195 = V926667. assign V046112 = V910383. assign V665643 = V216520 - 1. assign V608598 = V128977 + 1. assign V959383 = V581195. assign V073390 = V319078 - 1. assign V216520 = V229179 + 1. assign V277547 = V740401 - 1. assign V713703 = V933698. assign V038654 = V263022. assign V533017 = V027894. assign V056301 = V432274. assign V926667 = V554726. assign V133248 = V106520 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV375258 = 2;\n\nFrom these direct assignment(s), we have: \nV127017 = V375258 = 2;\nNo other variables can be derived from V127017;\nNo other variables can be derived from V375258;\n\nNow we have done all the calculations. Derived variables are:\nV375258 = 2;\nV127017 = 2;\n\nNow we have finished this problem. ANSWER:\nV375258, V127017\n", "role": "assistant" } ]

[ "V038004" ]

[ { "content": "<context>\nassign V843596 = V969815 + 1. assign V682949 = V444083 - 1. assign V093033 = V074999 - 1. assign V873666 = V262257 + 1. assign V913686 = V872342 + 1. assign V799786 = V534709 - 1. assign V039490 = V757677 - 1. assign V257614 = V302095 - 1. assign V778252 = V746233 + 1. assign V691441 = V495340 - 1. assign V138338 = V873666 - 1. assign V664485 = V029801. assign V001453 = V176517 - 1. assign V036153 = V262257. assign V375152 = V912110 - 1. assign V014374 = V290775 + 1. assign V403520 = V307853 + 1. assign V097407 = V687073. assign V105932 = V832170. assign V074999 = V569313 - 1. assign V838026 = V956899 + 1. assign V735058 = V906250 + 1. assign V757677 = V872342. assign V638859 = V969589 + 1. assign V767403 = V850156. assign V739221 = V188169 + 1. assign V705709 = V037519 - 1. assign V298966 = V039490 + 1. assign V958696 = V302095. assign V969815 = V029801 + 1. assign V670949 = V526146 - 1. assign V986054 = V307853 + 1. assign V794644 = V739221. assign V381524 = V252636 - 1. assign V761027 = V696168 - 1. assign V252636 = V176517. assign V369130 = V262257 - 1. assign V044276 = V913686 + 1. assign V588546 = V757677 - 1. assign V640738 = V872342 - 1. assign V968350 = V401425. assign V598633 = V913686 + 1. assign V516268 = V569313. assign V586660 = V600179 + 1. assign V870308 = V307853 + 1. assign V878802 = V401425 - 1. assign V600179 = V444083 + 1. assign V360289 = V401425 + 1. assign V264758 = V389021 - 1. assign V987439 = V290775 + 1. assign V128107 = V524645. assign V832170 = V968350. assign V524645 = V296364. assign V038004 = V519367 - 1. assign V074731 = V986054 - 1. assign V820554 = V968350 - 1. assign V776204 = V640738 - 1. assign V069855 = V999812 - 1. assign V526146 = V302095. assign V547536 = V776204 - 1. assign V461650 = V029801 - 1. assign V536620 = V601822 + 1. assign V012617 = V250584 - 1. assign V569729 = V045297 + 1. assign V328495 = V735058. assign V652647 = V290775 + 1. assign V606034 = V696168 - 1. assign V302095 = V423890. assign V188169 = V588546. assign V714410 = V735058. assign V889398 = V176517 - 1. assign V495340 = V236342 - 1. assign V148922 = V746233 - 1. assign V267427 = V954606. assign V601822 = V045297. assign V296364 = V401425 + 1. assign V300540 = V236342 - 1. assign V924292 = V360289 - 1. assign V528557 = V444597 + 1. assign V951826 = V968350. assign V389021 = V423890 + 1. assign V208120 = V687073 - 1. assign V767882 = V588546 + 1. assign V696168 = V029801 + 1. assign V068001 = V666627 - 1. assign V850156 = V872342 - 1. assign V250584 = V257614. assign V007921 = V956899. assign V589360 = V528557. assign V671183 = V006841. assign V229567 = V006841 - 1. assign V978496 = V761027 - 1. assign V234717 = V873666 + 1. assign V037519 = V461650 + 1. assign V100427 = V843596 - 1. assign V884150 = V870308 - 1. assign V236342 = V029801 + 1. assign V431823 = V958696 - 1. assign V547885 = V969589. assign V969589 = V913686. assign V157125 = V767882. assign V081913 = V029801 - 1. assign V491706 = V148922. assign V172301 = V912110 + 1. assign V330671 = V017469 - 1. assign V468566 = V671183. assign V687073 = V696168 + 1. assign V519367 = 1. assign V713898 = V362228. assign V444083 = V029801 - 1. assign V666627 = V156583 - 1. assign V605162 = V735058 + 1. assign V798928 = V188169 + 1. assign V290775 = V029801. assign V159116 = V691441. assign V262257 = V296364. assign V906250 = V444083. assign V232952 = V761027. assign V401425 = V029801. assign V156583 = V307853 + 1. assign V645266 = V307853. assign V681552 = V776204 + 1. assign V659786 = V948189. assign V954606 = V798928 + 1. assign V013110 = V884150. assign V301231 = V912110. assign V956899 = V437954 + 1. assign V887027 = V691441 - 1. assign V679693 = V461650. assign V728431 = V176517 + 1. assign V483386 = V006841 - 1. assign V460278 = V889398 + 1. assign V006841 = V906250 + 1. assign V006509 = V714410 + 1. assign V045297 = V074731. assign V176517 = V081913 + 1. assign V540136 = V569313 + 1. assign V446674 = V569313 - 1. assign V847000 = V924292 - 1. assign V017469 = V912110. assign V570988 = V491706. assign V230895 = V229567. assign V169242 = V850156 - 1. assign V912110 = V757677 + 1. assign V912839 = V978496 + 1. assign V569313 = V913686. assign V948189 = V360289 - 1. assign V994115 = V586660. assign V862280 = V873666 + 1. assign V245766 = V074731 - 1. assign V946018 = V039490 - 1. assign V767576 = V761027 - 1. assign V463036 = V296364 - 1. assign V999812 = V588546. assign V437954 = V889398. assign V872342 = V444083 - 1. assign V312473 = V714410. assign V927614 = V262257 + 1. assign V467136 = V232952 - 1. assign V969627 = V093033 - 1. assign V706676 = V463036. assign V301032 = V679693 - 1. assign V514036 = V761027. assign V534709 = V298966 - 1. assign V307853 = V664485. assign V444597 = V986054 - 1. assign V377445 = V948189 + 1. assign V901728 = V176517. assign V362228 = V169242 + 1. assign V746233 = V872342 + 1. assign V437574 = V169242 + 1. assign V423890 = V862280 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V843596 = V969815 + 1. assign V682949 = V444083 - 1. assign V093033 = V074999 - 1. assign V873666 = V262257 + 1. assign V913686 = V872342 + 1. assign V799786 = V534709 - 1. assign V039490 = V757677 - 1. assign V257614 = V302095 - 1. assign V778252 = V746233 + 1. assign V691441 = V495340 - 1. assign V138338 = V873666 - 1. assign V664485 = V029801. assign V001453 = V176517 - 1. assign V036153 = V262257. assign V375152 = V912110 - 1. assign V014374 = V290775 + 1. assign V403520 = V307853 + 1. assign V097407 = V687073. assign V105932 = V832170. assign V074999 = V569313 - 1. assign V838026 = V956899 + 1. assign V735058 = V906250 + 1. assign V757677 = V872342. assign V638859 = V969589 + 1. assign V767403 = V850156. assign V739221 = V188169 + 1. assign V705709 = V037519 - 1. assign V298966 = V039490 + 1. assign V958696 = V302095. assign V969815 = V029801 + 1. assign V670949 = V526146 - 1. assign V986054 = V307853 + 1. assign V794644 = V739221. assign V381524 = V252636 - 1. assign V761027 = V696168 - 1. assign V252636 = V176517. assign V369130 = V262257 - 1. assign V044276 = V913686 + 1. assign V588546 = V757677 - 1. assign V640738 = V872342 - 1. assign V968350 = V401425. assign V598633 = V913686 + 1. assign V516268 = V569313. assign V586660 = V600179 + 1. assign V870308 = V307853 + 1. assign V878802 = V401425 - 1. assign V600179 = V444083 + 1. assign V360289 = V401425 + 1. assign V264758 = V389021 - 1. assign V987439 = V290775 + 1. assign V128107 = V524645. assign V832170 = V968350. assign V524645 = V296364. assign V038004 = V519367 - 1. assign V074731 = V986054 - 1. assign V820554 = V968350 - 1. assign V776204 = V640738 - 1. assign V069855 = V999812 - 1. assign V526146 = V302095. assign V547536 = V776204 - 1. assign V461650 = V029801 - 1. assign V536620 = V601822 + 1. assign V012617 = V250584 - 1. assign V569729 = V045297 + 1. assign V328495 = V735058. assign V652647 = V290775 + 1. assign V606034 = V696168 - 1. assign V302095 = V423890. assign V188169 = V588546. assign V714410 = V735058. assign V889398 = V176517 - 1. assign V495340 = V236342 - 1. assign V148922 = V746233 - 1. assign V267427 = V954606. assign V601822 = V045297. assign V296364 = V401425 + 1. assign V300540 = V236342 - 1. assign V924292 = V360289 - 1. assign V528557 = V444597 + 1. assign V951826 = V968350. assign V389021 = V423890 + 1. assign V208120 = V687073 - 1. assign V767882 = V588546 + 1. assign V696168 = V029801 + 1. assign V068001 = V666627 - 1. assign V850156 = V872342 - 1. assign V250584 = V257614. assign V007921 = V956899. assign V589360 = V528557. assign V671183 = V006841. assign V229567 = V006841 - 1. assign V978496 = V761027 - 1. assign V234717 = V873666 + 1. assign V037519 = V461650 + 1. assign V100427 = V843596 - 1. assign V884150 = V870308 - 1. assign V236342 = V029801 + 1. assign V431823 = V958696 - 1. assign V547885 = V969589. assign V969589 = V913686. assign V157125 = V767882. assign V081913 = V029801 - 1. assign V491706 = V148922. assign V172301 = V912110 + 1. assign V330671 = V017469 - 1. assign V468566 = V671183. assign V687073 = V696168 + 1. assign V519367 = 1. assign V713898 = V362228. assign V444083 = V029801 - 1. assign V666627 = V156583 - 1. assign V605162 = V735058 + 1. assign V798928 = V188169 + 1. assign V290775 = V029801. assign V159116 = V691441. assign V262257 = V296364. assign V906250 = V444083. assign V232952 = V761027. assign V401425 = V029801. assign V156583 = V307853 + 1. assign V645266 = V307853. assign V681552 = V776204 + 1. assign V659786 = V948189. assign V954606 = V798928 + 1. assign V013110 = V884150. assign V301231 = V912110. assign V956899 = V437954 + 1. assign V887027 = V691441 - 1. assign V679693 = V461650. assign V728431 = V176517 + 1. assign V483386 = V006841 - 1. assign V460278 = V889398 + 1. assign V006841 = V906250 + 1. assign V006509 = V714410 + 1. assign V045297 = V074731. assign V176517 = V081913 + 1. assign V540136 = V569313 + 1. assign V446674 = V569313 - 1. assign V847000 = V924292 - 1. assign V017469 = V912110. assign V570988 = V491706. assign V230895 = V229567. assign V169242 = V850156 - 1. assign V912110 = V757677 + 1. assign V912839 = V978496 + 1. assign V569313 = V913686. assign V948189 = V360289 - 1. assign V994115 = V586660. assign V862280 = V873666 + 1. assign V245766 = V074731 - 1. assign V946018 = V039490 - 1. assign V767576 = V761027 - 1. assign V463036 = V296364 - 1. assign V999812 = V588546. assign V437954 = V889398. assign V872342 = V444083 - 1. assign V312473 = V714410. assign V927614 = V262257 + 1. assign V467136 = V232952 - 1. assign V969627 = V093033 - 1. assign V706676 = V463036. assign V301032 = V679693 - 1. assign V514036 = V761027. assign V534709 = V298966 - 1. assign V307853 = V664485. assign V444597 = V986054 - 1. assign V377445 = V948189 + 1. assign V901728 = V176517. assign V362228 = V169242 + 1. assign V746233 = V872342 + 1. assign V437574 = V169242 + 1. assign V423890 = V862280 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV519367 = 1;\n\nFrom these direct assignment(s), we have: \nV038004 = V519367 - 1 = 1 - 1 =0;\nNo other variables can be derived from V038004;\nNo other variables can be derived from V519367;\n\nNow we have done all the calculations. Derived variables are:\nV519367 = 1;\nV038004 = 0;\n\nNow we have finished this problem. ANSWER:\nV038004\n", "role": "assistant" } ]

[ "V258031" ]

[ { "content": "<context>\nassign V442924 = V502624 + 1. assign V519283 = V555328 - 1. assign V422823 = V045851 - 1. assign V615983 = V045851 - 1. assign V235619 = V241886 + 1. assign V613707 = V737593 - 1. assign V066110 = V241886 + 1. assign V696925 = V658220 + 1. assign V963903 = V401953 + 1. assign V851758 = V762889 - 1. assign V328773 = V119103 + 1. assign V018519 = V086522 + 1. assign V343566 = V476265 + 1. assign V316999 = V513394. assign V490089 = V831183 - 1. assign V581871 = V061879 + 1. assign V339105 = V241886 + 1. assign V850040 = V729443 - 1. assign V787198 = V662863. assign V399930 = V079230 + 1. assign V027969 = V185308. assign V476265 = V503508 + 1. assign V895010 = V760465 + 1. assign V816856 = V119103. assign V986474 = V219183 + 1. assign V610647 = V490089 - 1. assign V028911 = V555328. assign V059209 = V963903 - 1. assign V583065 = V670634. assign V488346 = V329291 - 1. assign V729443 = V079230 + 1. assign V760465 = V333256. assign V248695 = V662863 - 1. assign V448673 = V073849 + 1. assign V419851 = V027969 + 1. assign V588580 = V691589 + 1. assign V373574 = V615983 + 1. assign V548751 = V219942. assign V634769 = V066110. assign V512900 = V669150 - 1. assign V662863 = V452575. assign V017715 = V950250 + 1. assign V045851 = V399930 + 1. assign V211288 = V241886 - 1. assign V290780 = V870287 + 1. assign V157678 = V613707 + 1. assign V931391 = V576504. assign V328044 = V241886 - 1. assign V843361 = V691589. assign V964737 = V691589 - 1. assign V565453 = V017715 - 1. assign V178260 = V986474 + 1. assign V320715 = V219183. assign V219183 = V219942. assign V268943 = V737226 - 1. assign V168078 = V737226 + 1. assign V329291 = V328044 - 1. assign V890363 = V045851 - 1. assign V993496 = V386744 - 1. assign V036632 = V502624 + 1. assign V258031 = V553702 + 1. assign V452575 = V951289 + 1. assign V877660 = V831183. assign V367000 = V219942 - 1. assign V241886 = V079230. assign V086194 = V386744 - 1. assign V801295 = V674839 + 1. assign V670634 = V601168 + 1. assign V583811 = V079230 + 1. assign V707707 = V034790 - 1. assign V737593 = V950250. assign V034790 = V079230 + 1. assign V701825 = V346802. assign V326035 = V654071 + 1. assign V576504 = V241886 + 1. assign V346802 = V075664 + 1. assign V891376 = V401953 - 1. assign V220443 = V737593 + 1. assign V502624 = V399930 - 1. assign V454260 = V367000. assign V669150 = V963903. assign V386744 = V737226 + 1. assign V980382 = V952905 + 1. assign V161666 = V261200 + 1. assign V503508 = V328044 - 1. assign V674839 = V986474 + 1. assign V425403 = V950250 + 1. assign V637194 = V760465 + 1. assign V858685 = V285660 - 1. assign V283067 = V305632 - 1. assign V086522 = V548751. assign V843047 = V313672 - 1. assign V831183 = V241886. assign V073849 = V241886 + 1. assign V184210 = V326035 - 1. assign V690079 = V831183. assign V414415 = V565453 + 1. assign V163390 = V367000 - 1. assign V727418 = V963903. assign V069683 = V986474. assign V636553 = V527718. assign V753663 = V313672 + 1. assign V691589 = V079230. assign V762889 = V339105. assign V952905 = V669150 - 1. assign V566234 = V241886 - 1. assign V401953 = V079230 + 1. assign V492993 = V654071. assign V451356 = V492993 + 1. assign V524979 = V851758. assign V654071 = V737226 + 1. assign V495343 = V285660. assign V106075 = V211288 + 1. assign V863509 = V583065. assign V061879 = V513394 - 1. assign V250735 = V241886 - 1. assign V359126 = V567330 + 1. assign V185308 = V219183. assign V594132 = V061879. assign V333256 = V691589 + 1. assign V520459 = V670634. assign V220584 = V442924 - 1. assign V981599 = V495343. assign V220792 = V079230 + 1. assign V951289 = V502624 - 1. assign V737226 = V073849 - 1. assign V555328 = V367000. assign V683331 = V576504. assign V553702 = 9. assign V014564 = V565453 - 1. assign V261382 = V870287. assign V222919 = V185308 - 1. assign V567330 = V414415. assign V658220 = V670634 + 1. assign V527718 = V328044 - 1. assign V051472 = V521120 - 1. assign V991424 = V119103. assign V437196 = V728073 - 1. assign V686622 = V328044 - 1. assign V030680 = V993496. assign V181321 = V951289. assign V074339 = V320715 + 1. assign V758652 = V220584. assign V846796 = V931391 - 1. assign V268573 = V028911 + 1. assign V734522 = V333256 - 1. assign V592607 = V891376. assign V305632 = V950250 - 1. assign V119103 = V305632 + 1. assign V176357 = V268943. assign V632445 = V985215 - 1. assign V728073 = V931391 - 1. assign V411926 = V027969 + 1. assign V950250 = V079230 + 1. assign V412569 = V513394 - 1. assign V077669 = V346802 + 1. assign V285660 = V654071 + 1. assign V882357 = V753663 - 1. assign V075664 = V583065 + 1. assign V219942 = V737226 - 1. assign V521120 = V219942 - 1. assign V601168 = V328044. assign V985215 = V583065. assign V870287 = V339105 - 1. assign V587792 = V502624. assign V261200 = V950250 + 1. assign V313672 = V951289 + 1. assign V543538 = V181321 + 1. assign V567310 = V728073 - 1. assign V787652 = V176357. assign V513394 = V401953 - 1. assign V827165 = V669150 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V442924 = V502624 + 1. assign V519283 = V555328 - 1. assign V422823 = V045851 - 1. assign V615983 = V045851 - 1. assign V235619 = V241886 + 1. assign V613707 = V737593 - 1. assign V066110 = V241886 + 1. assign V696925 = V658220 + 1. assign V963903 = V401953 + 1. assign V851758 = V762889 - 1. assign V328773 = V119103 + 1. assign V018519 = V086522 + 1. assign V343566 = V476265 + 1. assign V316999 = V513394. assign V490089 = V831183 - 1. assign V581871 = V061879 + 1. assign V339105 = V241886 + 1. assign V850040 = V729443 - 1. assign V787198 = V662863. assign V399930 = V079230 + 1. assign V027969 = V185308. assign V476265 = V503508 + 1. assign V895010 = V760465 + 1. assign V816856 = V119103. assign V986474 = V219183 + 1. assign V610647 = V490089 - 1. assign V028911 = V555328. assign V059209 = V963903 - 1. assign V583065 = V670634. assign V488346 = V329291 - 1. assign V729443 = V079230 + 1. assign V760465 = V333256. assign V248695 = V662863 - 1. assign V448673 = V073849 + 1. assign V419851 = V027969 + 1. assign V588580 = V691589 + 1. assign V373574 = V615983 + 1. assign V548751 = V219942. assign V634769 = V066110. assign V512900 = V669150 - 1. assign V662863 = V452575. assign V017715 = V950250 + 1. assign V045851 = V399930 + 1. assign V211288 = V241886 - 1. assign V290780 = V870287 + 1. assign V157678 = V613707 + 1. assign V931391 = V576504. assign V328044 = V241886 - 1. assign V843361 = V691589. assign V964737 = V691589 - 1. assign V565453 = V017715 - 1. assign V178260 = V986474 + 1. assign V320715 = V219183. assign V219183 = V219942. assign V268943 = V737226 - 1. assign V168078 = V737226 + 1. assign V329291 = V328044 - 1. assign V890363 = V045851 - 1. assign V993496 = V386744 - 1. assign V036632 = V502624 + 1. assign V258031 = V553702 + 1. assign V452575 = V951289 + 1. assign V877660 = V831183. assign V367000 = V219942 - 1. assign V241886 = V079230. assign V086194 = V386744 - 1. assign V801295 = V674839 + 1. assign V670634 = V601168 + 1. assign V583811 = V079230 + 1. assign V707707 = V034790 - 1. assign V737593 = V950250. assign V034790 = V079230 + 1. assign V701825 = V346802. assign V326035 = V654071 + 1. assign V576504 = V241886 + 1. assign V346802 = V075664 + 1. assign V891376 = V401953 - 1. assign V220443 = V737593 + 1. assign V502624 = V399930 - 1. assign V454260 = V367000. assign V669150 = V963903. assign V386744 = V737226 + 1. assign V980382 = V952905 + 1. assign V161666 = V261200 + 1. assign V503508 = V328044 - 1. assign V674839 = V986474 + 1. assign V425403 = V950250 + 1. assign V637194 = V760465 + 1. assign V858685 = V285660 - 1. assign V283067 = V305632 - 1. assign V086522 = V548751. assign V843047 = V313672 - 1. assign V831183 = V241886. assign V073849 = V241886 + 1. assign V184210 = V326035 - 1. assign V690079 = V831183. assign V414415 = V565453 + 1. assign V163390 = V367000 - 1. assign V727418 = V963903. assign V069683 = V986474. assign V636553 = V527718. assign V753663 = V313672 + 1. assign V691589 = V079230. assign V762889 = V339105. assign V952905 = V669150 - 1. assign V566234 = V241886 - 1. assign V401953 = V079230 + 1. assign V492993 = V654071. assign V451356 = V492993 + 1. assign V524979 = V851758. assign V654071 = V737226 + 1. assign V495343 = V285660. assign V106075 = V211288 + 1. assign V863509 = V583065. assign V061879 = V513394 - 1. assign V250735 = V241886 - 1. assign V359126 = V567330 + 1. assign V185308 = V219183. assign V594132 = V061879. assign V333256 = V691589 + 1. assign V520459 = V670634. assign V220584 = V442924 - 1. assign V981599 = V495343. assign V220792 = V079230 + 1. assign V951289 = V502624 - 1. assign V737226 = V073849 - 1. assign V555328 = V367000. assign V683331 = V576504. assign V553702 = 9. assign V014564 = V565453 - 1. assign V261382 = V870287. assign V222919 = V185308 - 1. assign V567330 = V414415. assign V658220 = V670634 + 1. assign V527718 = V328044 - 1. assign V051472 = V521120 - 1. assign V991424 = V119103. assign V437196 = V728073 - 1. assign V686622 = V328044 - 1. assign V030680 = V993496. assign V181321 = V951289. assign V074339 = V320715 + 1. assign V758652 = V220584. assign V846796 = V931391 - 1. assign V268573 = V028911 + 1. assign V734522 = V333256 - 1. assign V592607 = V891376. assign V305632 = V950250 - 1. assign V119103 = V305632 + 1. assign V176357 = V268943. assign V632445 = V985215 - 1. assign V728073 = V931391 - 1. assign V411926 = V027969 + 1. assign V950250 = V079230 + 1. assign V412569 = V513394 - 1. assign V077669 = V346802 + 1. assign V285660 = V654071 + 1. assign V882357 = V753663 - 1. assign V075664 = V583065 + 1. assign V219942 = V737226 - 1. assign V521120 = V219942 - 1. assign V601168 = V328044. assign V985215 = V583065. assign V870287 = V339105 - 1. assign V587792 = V502624. assign V261200 = V950250 + 1. assign V313672 = V951289 + 1. assign V543538 = V181321 + 1. assign V567310 = V728073 - 1. assign V787652 = V176357. assign V513394 = V401953 - 1. assign V827165 = V669150 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV553702 = 9;\n\nFrom these direct assignment(s), we have: \nV258031 = V553702 + 1 = 9 + 1 =10;\nNo other variables can be derived from V258031;\nNo other variables can be derived from V553702;\n\nNow we have done all the calculations. Derived variables are:\nV553702 = 9;\nV258031 = 10;\n\nNow we have finished this problem. ANSWER:\nV258031\n", "role": "assistant" } ]

[ "V055823" ]

[ { "content": "<context>\nassign V619512 = V227222 - 1. assign V087765 = V488093 + 1. assign V362771 = V447250 + 1. assign V931734 = V857908 + 1. assign V041143 = V033216 + 1. assign V703609 = V936540. assign V978995 = V107876 + 1. assign V644909 = V569368. assign V669812 = V209734 + 1. assign V531683 = V857908 + 1. assign V862144 = V320061. assign V284297 = V525130 + 1. assign V287279 = V144700 + 1. assign V227640 = V702402. assign V076845 = V641287. assign V782909 = V307403 + 1. assign V320061 = V307403 + 1. assign V528749 = V228556 - 1. assign V672213 = V525130 + 1. assign V588128 = V905635 - 1. assign V760158 = V628416. assign V730840 = V330717 + 1. assign V420828 = V209690 + 1. assign V827797 = V994857. assign V782131 = V317441. assign V194084 = V635555 - 1. assign V525130 = V228556 - 1. assign V265938 = V046783 + 1. assign V569368 = V041143 - 1. assign V255128 = V667457 - 1. assign V352103 = V227222. assign V228556 = V041143 + 1. assign V619615 = V227640 - 1. assign V635555 = V255128. assign V701477 = V466757 + 1. assign V030409 = V449162 - 1. assign V699612 = V838163. assign V745995 = V008027 - 1. assign V509517 = V209734 - 1. assign V429553 = V634076. assign V751823 = V041143 + 1. assign V615374 = V330717 + 1. assign V015472 = V468208 + 1. assign V809586 = V030409. assign V649106 = V023802 + 1. assign V195002 = V156118. assign V209690 = V860574 + 1. assign V558210 = V618057 - 1. assign V291278 = V525130 - 1. assign V466757 = V048315. assign V880791 = V438079. assign V658750 = V265938 + 1. assign V316438 = V041143. assign V635328 = V905635 + 1. assign V960768 = V470967 + 1. assign V497249 = V588128 + 1. assign V825780 = V449306 - 1. assign V385320 = V046783 - 1. assign V008027 = V033216 - 1. assign V247380 = V284297. assign V254195 = V308303. assign V048315 = V449162. assign V570718 = V408868 - 1. assign V957975 = V195002 + 1. assign V860574 = V048315 + 1. assign V466483 = V027776. assign V048953 = V228556 - 1. assign V617832 = V046783 - 1. assign V537467 = V185087 + 1. assign V590919 = V558210 + 1. assign V969970 = V552286 - 1. assign V438079 = V628416 + 1. assign V791695 = V509517 + 1. assign V447250 = V558883. assign V552286 = V635328 - 1. assign V242999 = V310670 + 1. assign V458073 = V247380. assign V366385 = V584384. assign V702402 = V635328 - 1. assign V254123 = V531683 - 1. assign V905635 = V960446 - 1. assign V976154 = V227222. assign V628416 = V552286 - 1. assign V415220 = V041143 - 1. assign V310670 = V466757 - 1. assign V869197 = V619512 - 1. assign V356222 = V067930. assign V023004 = V969970 + 1. assign V857908 = V641287. assign V222321 = V027776 - 1. assign V023802 = V905635 - 1. assign V818580 = V446417 - 1. assign V318783 = V330717 - 1. assign V021257 = V669812 + 1. assign V960446 = V033216 + 1. assign V144700 = V076845. assign V330717 = V635328 + 1. assign V634076 = V619615 - 1. assign V209734 = V291278 - 1. assign V332060 = V190740 - 1. assign V046783 = V209690 - 1. assign V082744 = V569368 - 1. assign V583554 = V076845 + 1. assign V449306 = V185087 - 1. assign V667457 = V635328. assign V641287 = V960446 + 1. assign V558883 = V265938 + 1. assign V549511 = V745995 + 1. assign V584384 = V033216. assign V441025 = V791695 + 1. assign V823734 = V408868. assign V864211 = V055962. assign V446417 = V758676 + 1. assign V488093 = V525130 + 1. assign V185087 = V308120. assign V055823 = 2. assign V487605 = V027776 - 1. assign V900703 = V190740 - 1. assign V274043 = V209734 - 1. assign V138259 = V669812. assign V156118 = V588128. assign V143904 = V758676 + 1. assign V016265 = V055823 - 1. assign V307403 = V415220 + 1. assign V865284 = V701477. assign V055962 = V107518 + 1. assign V051401 = V018630 + 1. assign V738629 = V758676 - 1. assign V067930 = V227222 - 1. assign V470967 = V584384. assign V358924 = V356222. assign V287935 = V641287. assign V545193 = V067930. assign V238363 = V618057 + 1. assign V618057 = V227222 + 1. assign V248798 = V566048. assign V079002 = V356222 - 1. assign V944262 = V330717 - 1. assign V308303 = V857908 + 1. assign V853354 = V801495. assign V368204 = V227222. assign V190740 = V033216 + 1. assign V408868 = V287935 - 1. assign V601034 = V027776. assign V227222 = V033216 + 1. assign V008841 = V308120 - 1. assign V758676 = V545193 - 1. assign V033854 = V944262. assign V308120 = V635328 + 1. assign V801495 = V569368 - 1. assign V757508 = V976154 + 1. assign V116034 = V316438. assign V566048 = V667457 - 1. assign V838163 = V991960. assign V519676 = V308303 + 1. assign V994857 = V144700 - 1. assign V317441 = V730840 + 1. assign V991960 = V549511 - 1. assign V027776 = V931734 + 1. assign V018630 = V545193 + 1. assign V875402 = V415220 - 1. assign V143362 = V415220 + 1. assign V726805 = V076845 - 1. assign V871696 = V067930 - 1. assign V980746 = V143362 - 1. assign V468208 = V415220 - 1. assign V449162 = V757508. assign V065321 = V900703 + 1. assign V107518 = V415220 + 1. assign V936540 = V569368 + 1. assign V107876 = V308303 - 1. assign V174312 = V082744 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V619512 = V227222 - 1. assign V087765 = V488093 + 1. assign V362771 = V447250 + 1. assign V931734 = V857908 + 1. assign V041143 = V033216 + 1. assign V703609 = V936540. assign V978995 = V107876 + 1. assign V644909 = V569368. assign V669812 = V209734 + 1. assign V531683 = V857908 + 1. assign V862144 = V320061. assign V284297 = V525130 + 1. assign V287279 = V144700 + 1. assign V227640 = V702402. assign V076845 = V641287. assign V782909 = V307403 + 1. assign V320061 = V307403 + 1. assign V528749 = V228556 - 1. assign V672213 = V525130 + 1. assign V588128 = V905635 - 1. assign V760158 = V628416. assign V730840 = V330717 + 1. assign V420828 = V209690 + 1. assign V827797 = V994857. assign V782131 = V317441. assign V194084 = V635555 - 1. assign V525130 = V228556 - 1. assign V265938 = V046783 + 1. assign V569368 = V041143 - 1. assign V255128 = V667457 - 1. assign V352103 = V227222. assign V228556 = V041143 + 1. assign V619615 = V227640 - 1. assign V635555 = V255128. assign V701477 = V466757 + 1. assign V030409 = V449162 - 1. assign V699612 = V838163. assign V745995 = V008027 - 1. assign V509517 = V209734 - 1. assign V429553 = V634076. assign V751823 = V041143 + 1. assign V615374 = V330717 + 1. assign V015472 = V468208 + 1. assign V809586 = V030409. assign V649106 = V023802 + 1. assign V195002 = V156118. assign V209690 = V860574 + 1. assign V558210 = V618057 - 1. assign V291278 = V525130 - 1. assign V466757 = V048315. assign V880791 = V438079. assign V658750 = V265938 + 1. assign V316438 = V041143. assign V635328 = V905635 + 1. assign V960768 = V470967 + 1. assign V497249 = V588128 + 1. assign V825780 = V449306 - 1. assign V385320 = V046783 - 1. assign V008027 = V033216 - 1. assign V247380 = V284297. assign V254195 = V308303. assign V048315 = V449162. assign V570718 = V408868 - 1. assign V957975 = V195002 + 1. assign V860574 = V048315 + 1. assign V466483 = V027776. assign V048953 = V228556 - 1. assign V617832 = V046783 - 1. assign V537467 = V185087 + 1. assign V590919 = V558210 + 1. assign V969970 = V552286 - 1. assign V438079 = V628416 + 1. assign V791695 = V509517 + 1. assign V447250 = V558883. assign V552286 = V635328 - 1. assign V242999 = V310670 + 1. assign V458073 = V247380. assign V366385 = V584384. assign V702402 = V635328 - 1. assign V254123 = V531683 - 1. assign V905635 = V960446 - 1. assign V976154 = V227222. assign V628416 = V552286 - 1. assign V415220 = V041143 - 1. assign V310670 = V466757 - 1. assign V869197 = V619512 - 1. assign V356222 = V067930. assign V023004 = V969970 + 1. assign V857908 = V641287. assign V222321 = V027776 - 1. assign V023802 = V905635 - 1. assign V818580 = V446417 - 1. assign V318783 = V330717 - 1. assign V021257 = V669812 + 1. assign V960446 = V033216 + 1. assign V144700 = V076845. assign V330717 = V635328 + 1. assign V634076 = V619615 - 1. assign V209734 = V291278 - 1. assign V332060 = V190740 - 1. assign V046783 = V209690 - 1. assign V082744 = V569368 - 1. assign V583554 = V076845 + 1. assign V449306 = V185087 - 1. assign V667457 = V635328. assign V641287 = V960446 + 1. assign V558883 = V265938 + 1. assign V549511 = V745995 + 1. assign V584384 = V033216. assign V441025 = V791695 + 1. assign V823734 = V408868. assign V864211 = V055962. assign V446417 = V758676 + 1. assign V488093 = V525130 + 1. assign V185087 = V308120. assign V055823 = 2. assign V487605 = V027776 - 1. assign V900703 = V190740 - 1. assign V274043 = V209734 - 1. assign V138259 = V669812. assign V156118 = V588128. assign V143904 = V758676 + 1. assign V016265 = V055823 - 1. assign V307403 = V415220 + 1. assign V865284 = V701477. assign V055962 = V107518 + 1. assign V051401 = V018630 + 1. assign V738629 = V758676 - 1. assign V067930 = V227222 - 1. assign V470967 = V584384. assign V358924 = V356222. assign V287935 = V641287. assign V545193 = V067930. assign V238363 = V618057 + 1. assign V618057 = V227222 + 1. assign V248798 = V566048. assign V079002 = V356222 - 1. assign V944262 = V330717 - 1. assign V308303 = V857908 + 1. assign V853354 = V801495. assign V368204 = V227222. assign V190740 = V033216 + 1. assign V408868 = V287935 - 1. assign V601034 = V027776. assign V227222 = V033216 + 1. assign V008841 = V308120 - 1. assign V758676 = V545193 - 1. assign V033854 = V944262. assign V308120 = V635328 + 1. assign V801495 = V569368 - 1. assign V757508 = V976154 + 1. assign V116034 = V316438. assign V566048 = V667457 - 1. assign V838163 = V991960. assign V519676 = V308303 + 1. assign V994857 = V144700 - 1. assign V317441 = V730840 + 1. assign V991960 = V549511 - 1. assign V027776 = V931734 + 1. assign V018630 = V545193 + 1. assign V875402 = V415220 - 1. assign V143362 = V415220 + 1. assign V726805 = V076845 - 1. assign V871696 = V067930 - 1. assign V980746 = V143362 - 1. assign V468208 = V415220 - 1. assign V449162 = V757508. assign V065321 = V900703 + 1. assign V107518 = V415220 + 1. assign V936540 = V569368 + 1. assign V107876 = V308303 - 1. assign V174312 = V082744 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV055823 = 2;\n\nFrom these direct assignment(s), we have: \nV016265 = V055823 - 1 = 2 - 1 =1;\nNo other variables can be derived from V016265;\nNo other variables can be derived from V055823;\n\nNow we have done all the calculations. Derived variables are:\nV055823 = 2;\nV016265 = 1;\n\nNow we have finished this problem. ANSWER:\nV055823\n", "role": "assistant" } ]

[ "V847213", "V203025" ]

[ { "content": "<context>\nassign V150706 = V191155. assign V632085 = V162800 - 1. assign V042955 = V069975 + 1. assign V509184 = V060860 + 1. assign V939432 = V580390 - 1. assign V413804 = V206438. assign V478565 = V877091 + 1. assign V777889 = V962414 - 1. assign V308324 = V575070 + 1. assign V191155 = V688593. assign V806827 = V827522 - 1. assign V924222 = V440595 + 1. assign V440595 = V002252 + 1. assign V457008 = V764352 + 1. assign V519362 = V308324 - 1. assign V694851 = V421077 + 1. assign V930578 = V286125 - 1. assign V002511 = V162800. assign V042405 = V312499 + 1. assign V031033 = V595674 + 1. assign V792359 = V518688. assign V977769 = V421077. assign V581804 = V873403 + 1. assign V648279 = V637947 - 1. assign V080790 = V002511. assign V321109 = V469564 + 1. assign V040780 = V597804 + 1. assign V060860 = V004368 + 1. assign V089922 = V867260 - 1. assign V482970 = V632085 - 1. assign V071711 = V317313. assign V233434 = V686071 + 1. assign V954639 = V902457. assign V004489 = V667434 - 1. assign V203025 = V847213. assign V036156 = V869126 + 1. assign V407370 = V730260 + 1. assign V251077 = V827522. assign V856452 = V421077 + 1. assign V840934 = V597804. assign V256014 = V250632 + 1. assign V244407 = V191155 + 1. assign V608669 = V442902. assign V213826 = V256014. assign V875653 = V244896. assign V162800 = V338772 + 1. assign V806302 = V902457. assign V206438 = V002252 + 1. assign V379202 = V032988 - 1. assign V478965 = V379202 - 1. assign V244896 = V395297 - 1. assign V730260 = V990204. assign V433250 = V228787 - 1. assign V980419 = V557668. assign V869126 = V667434. assign V126267 = V506826 + 1. assign V764352 = V286125 - 1. assign V712070 = V506826. assign V789764 = V924222. assign V827522 = V313453. assign V651252 = V440595 + 1. assign V482711 = V694851 - 1. assign V414832 = V597804 - 1. assign V002252 = V338772 - 1. assign V020749 = V096592. assign V815075 = V580824 + 1. assign V506826 = V096592 - 1. assign V216645 = V222481. assign V035888 = V232594 + 1. assign V132283 = V632085 - 1. assign V801822 = V686071 - 1. assign V397851 = V759220 + 1. assign V572547 = V580824. assign V867260 = V162800. assign V637947 = V477333 - 1. assign V532644 = V096592 + 1. assign V883679 = V421077 - 1. assign V436732 = V250632. assign V518688 = V712070. assign V751229 = V581804 + 1. assign V665044 = V827522 + 1. assign V924888 = V648279 + 1. assign V970036 = V883679 - 1. assign V490685 = V213826 + 1. assign V799094 = V580824 + 1. assign V792744 = V694851 - 1. assign V134953 = V686071 - 1. assign V238941 = V479928 - 1. assign V686071 = V632085 - 1. assign V346565 = V970036. assign V464966 = V712070. assign V864952 = V518688. assign V317313 = V533219. assign V877091 = V338772. assign V553739 = V712070 - 1. assign V317695 = V730260 - 1. assign V595674 = V002252. assign V589817 = V251428 + 1. assign V472409 = V131563 - 1. assign V620723 = V482970. assign V477333 = V482711 + 1. assign V203449 = V620723. assign V232594 = V378055. assign V196053 = V020749. assign V008323 = V413804 - 1. assign V222481 = V338772. assign V391068 = V020749 - 1. assign V020170 = V421077. assign V738931 = V060860 - 1. assign V205225 = V873403 - 1. assign V442902 = V162800. assign V827441 = V557668. assign V313453 = V036337. assign V479928 = V482711 + 1. assign V031995 = V132283 + 1. assign V417839 = V206438. assign V131563 = V902457 + 1. assign V007506 = V436732 - 1. assign V449910 = V632085 - 1. assign V873403 = V553739 - 1. assign V580824 = V506826 - 1. assign V468990 = V397851 - 1. assign V312499 = V482970. assign V759220 = V096592 + 1. assign V032988 = V883679 - 1. assign V109186 = V012063. assign V990204 = V637947. assign V036337 = V162800 + 1. assign V575070 = V338772 + 1. assign V278322 = V379202. assign V734509 = V449910. assign V929111 = V203449 - 1. assign V597804 = V506826. assign V761263 = V069975 - 1. assign V988429 = V533219. assign V092078 = V317313 + 1. assign V228787 = V930578 - 1. assign V250632 = V482970 + 1. assign V251428 = V020170. assign V947894 = V007506. assign V667434 = V970036 + 1. assign V533219 = V002252 + 1. assign V962414 = V648279. assign V482565 = V004368 - 1. assign V196130 = V902457 + 1. assign V395297 = V222481 + 1. assign V847213 = 0. assign V688593 = V250632 + 1. assign V666620 = V162800. assign V649177 = V417839 - 1. assign V615320 = V875653. assign V153555 = V278322 + 1. assign V894283 = V040780 - 1. assign V305513 = V020170 + 1. assign V378055 = V883679 + 1. assign V096592 = V421077. assign V852007 = V162800. assign V557668 = V666620 + 1. assign V083030 = V312499 + 1. assign V286125 = V002252 - 1. assign V923471 = V518688 - 1. assign V421077 = V338772. assign V378883 = V308324 - 1. assign V902457 = V162800 - 1. assign V580390 = V020749. assign V004368 = V338772. assign V406068 = V317313. assign V535100 = V482711. assign V469564 = V506826. assign V069975 = V632085 - 1. assign V377337 = V902457 - 1. assign V012063 = V637947 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V150706 = V191155. assign V632085 = V162800 - 1. assign V042955 = V069975 + 1. assign V509184 = V060860 + 1. assign V939432 = V580390 - 1. assign V413804 = V206438. assign V478565 = V877091 + 1. assign V777889 = V962414 - 1. assign V308324 = V575070 + 1. assign V191155 = V688593. assign V806827 = V827522 - 1. assign V924222 = V440595 + 1. assign V440595 = V002252 + 1. assign V457008 = V764352 + 1. assign V519362 = V308324 - 1. assign V694851 = V421077 + 1. assign V930578 = V286125 - 1. assign V002511 = V162800. assign V042405 = V312499 + 1. assign V031033 = V595674 + 1. assign V792359 = V518688. assign V977769 = V421077. assign V581804 = V873403 + 1. assign V648279 = V637947 - 1. assign V080790 = V002511. assign V321109 = V469564 + 1. assign V040780 = V597804 + 1. assign V060860 = V004368 + 1. assign V089922 = V867260 - 1. assign V482970 = V632085 - 1. assign V071711 = V317313. assign V233434 = V686071 + 1. assign V954639 = V902457. assign V004489 = V667434 - 1. assign V203025 = V847213. assign V036156 = V869126 + 1. assign V407370 = V730260 + 1. assign V251077 = V827522. assign V856452 = V421077 + 1. assign V840934 = V597804. assign V256014 = V250632 + 1. assign V244407 = V191155 + 1. assign V608669 = V442902. assign V213826 = V256014. assign V875653 = V244896. assign V162800 = V338772 + 1. assign V806302 = V902457. assign V206438 = V002252 + 1. assign V379202 = V032988 - 1. assign V478965 = V379202 - 1. assign V244896 = V395297 - 1. assign V730260 = V990204. assign V433250 = V228787 - 1. assign V980419 = V557668. assign V869126 = V667434. assign V126267 = V506826 + 1. assign V764352 = V286125 - 1. assign V712070 = V506826. assign V789764 = V924222. assign V827522 = V313453. assign V651252 = V440595 + 1. assign V482711 = V694851 - 1. assign V414832 = V597804 - 1. assign V002252 = V338772 - 1. assign V020749 = V096592. assign V815075 = V580824 + 1. assign V506826 = V096592 - 1. assign V216645 = V222481. assign V035888 = V232594 + 1. assign V132283 = V632085 - 1. assign V801822 = V686071 - 1. assign V397851 = V759220 + 1. assign V572547 = V580824. assign V867260 = V162800. assign V637947 = V477333 - 1. assign V532644 = V096592 + 1. assign V883679 = V421077 - 1. assign V436732 = V250632. assign V518688 = V712070. assign V751229 = V581804 + 1. assign V665044 = V827522 + 1. assign V924888 = V648279 + 1. assign V970036 = V883679 - 1. assign V490685 = V213826 + 1. assign V799094 = V580824 + 1. assign V792744 = V694851 - 1. assign V134953 = V686071 - 1. assign V238941 = V479928 - 1. assign V686071 = V632085 - 1. assign V346565 = V970036. assign V464966 = V712070. assign V864952 = V518688. assign V317313 = V533219. assign V877091 = V338772. assign V553739 = V712070 - 1. assign V317695 = V730260 - 1. assign V595674 = V002252. assign V589817 = V251428 + 1. assign V472409 = V131563 - 1. assign V620723 = V482970. assign V477333 = V482711 + 1. assign V203449 = V620723. assign V232594 = V378055. assign V196053 = V020749. assign V008323 = V413804 - 1. assign V222481 = V338772. assign V391068 = V020749 - 1. assign V020170 = V421077. assign V738931 = V060860 - 1. assign V205225 = V873403 - 1. assign V442902 = V162800. assign V827441 = V557668. assign V313453 = V036337. assign V479928 = V482711 + 1. assign V031995 = V132283 + 1. assign V417839 = V206438. assign V131563 = V902457 + 1. assign V007506 = V436732 - 1. assign V449910 = V632085 - 1. assign V873403 = V553739 - 1. assign V580824 = V506826 - 1. assign V468990 = V397851 - 1. assign V312499 = V482970. assign V759220 = V096592 + 1. assign V032988 = V883679 - 1. assign V109186 = V012063. assign V990204 = V637947. assign V036337 = V162800 + 1. assign V575070 = V338772 + 1. assign V278322 = V379202. assign V734509 = V449910. assign V929111 = V203449 - 1. assign V597804 = V506826. assign V761263 = V069975 - 1. assign V988429 = V533219. assign V092078 = V317313 + 1. assign V228787 = V930578 - 1. assign V250632 = V482970 + 1. assign V251428 = V020170. assign V947894 = V007506. assign V667434 = V970036 + 1. assign V533219 = V002252 + 1. assign V962414 = V648279. assign V482565 = V004368 - 1. assign V196130 = V902457 + 1. assign V395297 = V222481 + 1. assign V847213 = 0. assign V688593 = V250632 + 1. assign V666620 = V162800. assign V649177 = V417839 - 1. assign V615320 = V875653. assign V153555 = V278322 + 1. assign V894283 = V040780 - 1. assign V305513 = V020170 + 1. assign V378055 = V883679 + 1. assign V096592 = V421077. assign V852007 = V162800. assign V557668 = V666620 + 1. assign V083030 = V312499 + 1. assign V286125 = V002252 - 1. assign V923471 = V518688 - 1. assign V421077 = V338772. assign V378883 = V308324 - 1. assign V902457 = V162800 - 1. assign V580390 = V020749. assign V004368 = V338772. assign V406068 = V317313. assign V535100 = V482711. assign V469564 = V506826. assign V069975 = V632085 - 1. assign V377337 = V902457 - 1. assign V012063 = V637947 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV847213 = 0;\n\nFrom these direct assignment(s), we have: \nV203025 = V847213 = 0;\nNo other variables can be derived from V203025;\nNo other variables can be derived from V847213;\n\nNow we have done all the calculations. Derived variables are:\nV847213 = 0;\nV203025 = 0;\n\nNow we have finished this problem. ANSWER:\nV847213, V203025\n", "role": "assistant" } ]

[ "V804175", "V503721" ]

[ { "content": "<context>\nassign V422778 = V747318 + 1. assign V043274 = V501417. assign V765538 = V918266 - 1. assign V308308 = V867992 + 1. assign V335999 = V867992 + 1. assign V612898 = V674530 - 1. assign V073007 = V694333 - 1. assign V896476 = V566354 - 1. assign V460267 = V180910. assign V180910 = V674530 + 1. assign V991788 = V282747 - 1. assign V867992 = V384789 + 1. assign V602042 = V432740 + 1. assign V491456 = V054592 + 1. assign V356761 = V841375 + 1. assign V674530 = V200201 + 1. assign V102403 = V467700 + 1. assign V054593 = V335999 + 1. assign V258346 = V005825 - 1. assign V178925 = V993211 - 1. assign V176656 = V448281 + 1. assign V269094 = V657445 + 1. assign V293959 = V993092 + 1. assign V708411 = V017780 - 1. assign V094776 = V448281 + 1. assign V106231 = V802850 - 1. assign V927361 = V875368 - 1. assign V437821 = V335999. assign V567140 = V411131. assign V251890 = V780929. assign V301264 = V445628. assign V673857 = V746996 + 1. assign V623392 = V282747 + 1. assign V773037 = V423072 - 1. assign V411131 = V384789 + 1. assign V705536 = V659313. assign V399625 = V301264. assign V725921 = V674530 + 1. assign V179861 = V115168 + 1. assign V385359 = V850653. assign V993092 = V380513 + 1. assign V067666 = V838705 - 1. assign V289141 = V115168 - 1. assign V747318 = V674530 - 1. assign V153082 = V017780 + 1. assign V261543 = V712789 + 1. assign V657445 = V802850. assign V115939 = V528822 + 1. assign V918631 = V221679. assign V731565 = V725921 + 1. assign V256763 = V460267. assign V017780 = V918266 + 1. assign V790176 = V697279 - 1. assign V005825 = V674530 + 1. assign V410358 = V773037 + 1. assign V283200 = V136080. assign V136080 = V180910 + 1. assign V054592 = V179861. assign V203154 = V200201. assign V332716 = V432740 + 1. assign V139517 = V712789. assign V993211 = V035437 + 1. assign V384789 = V200201. assign V115168 = V746996 - 1. assign V501417 = V918266. assign V694333 = V712789. assign V936565 = V528822. assign V297254 = V850653. assign V413780 = V657445 - 1. assign V566354 = V608933. assign V415844 = V747318 - 1. assign V409161 = V102403 - 1. assign V467700 = V659313. assign V850653 = V747318 - 1. assign V803226 = V035437 - 1. assign V373509 = V432740 - 1. assign V877608 = V434382. assign V282747 = V380513. assign V849209 = V356761 - 1. assign V817071 = V796658 - 1. assign V448281 = V780929. assign V975082 = V694333. assign V738682 = V423072 + 1. assign V918266 = V999243 - 1. assign V220242 = V896476 + 1. assign V631178 = V283200. assign V663872 = V054592 + 1. assign V903860 = V487716 - 1. assign V609939 = V549455 - 1. assign V445628 = V035437 + 1. assign V780929 = V674530 + 1. assign V659313 = V674530. assign V669731 = V725921 + 1. assign V294052 = V389626 + 1. assign V698321 = V674530 - 1. assign V988145 = V773037 + 1. assign V663206 = V258346. assign V234883 = V415844 + 1. assign V670448 = V746996. assign V421201 = V005825. assign V432740 = V005825. assign V402623 = V380513. assign V311056 = V487716. assign V838705 = V780929 + 1. assign V316943 = V335999. assign V381744 = V738682 + 1. assign V104915 = V190598. assign V875368 = V725921. assign V503721 = V804175. assign V375399 = V796658. assign V680128 = V380513 + 1. assign V322263 = V023838 - 1. assign V920948 = V289141. assign V802850 = V566354 + 1. assign V909476 = V802850 + 1. assign V702701 = V838705. assign V725092 = V501417 + 1. assign V190598 = V102403 - 1. assign V759062 = V251890. assign V687791 = V220242 - 1. assign V702483 = V657445 + 1. assign V999230 = V384789 + 1. assign V999243 = V005825 - 1. assign V280652 = V609939 - 1. assign V793834 = V866795. assign V017561 = V484457 + 1. assign V076970 = V180910 + 1. assign V697279 = V282747 - 1. assign V379452 = V311056 + 1. assign V608933 = V005825 - 1. assign V291474 = V375399. assign V170412 = V115939 - 1. assign V487716 = V712789 + 1. assign V581784 = V115939 - 1. assign V251794 = V850653. assign V894972 = V094776. assign V796658 = V005825 - 1. assign V585794 = V316943 + 1. assign V800456 = V549455 - 1. assign V269120 = V702701 + 1. assign V836421 = V409161 + 1. assign V023838 = V106231. assign V680107 = V251794 - 1. assign V187981 = V409161 + 1. assign V744572 = V373509 + 1. assign V221679 = V261543 - 1. assign V239250 = V432740 + 1. assign V056765 = V176656. assign V791101 = V437821 + 1. assign V389626 = V035437 - 1. assign V746996 = V712789 - 1. assign V532648 = V918266 + 1. assign V549455 = V659313 + 1. assign V423072 = V261543 - 1. assign V866795 = V180910 - 1. assign V434382 = V790176 + 1. assign V937494 = V017780 - 1. assign V227855 = V239250. assign V712789 = V608933. assign V841375 = V180910. assign V579551 = V566354 + 1. assign V440235 = V094776. assign V035437 = V867992. assign V851233 = V673857 + 1. assign V804175 = 3. assign V942559 = V180910 - 1. assign V609215 = V460267 + 1. assign V380513 = V608933 + 1. assign V528822 = V094776. assign V484457 = V999243. assign V024480 = V851233 - 1. assign V142811 = V460267 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V422778 = V747318 + 1. assign V043274 = V501417. assign V765538 = V918266 - 1. assign V308308 = V867992 + 1. assign V335999 = V867992 + 1. assign V612898 = V674530 - 1. assign V073007 = V694333 - 1. assign V896476 = V566354 - 1. assign V460267 = V180910. assign V180910 = V674530 + 1. assign V991788 = V282747 - 1. assign V867992 = V384789 + 1. assign V602042 = V432740 + 1. assign V491456 = V054592 + 1. assign V356761 = V841375 + 1. assign V674530 = V200201 + 1. assign V102403 = V467700 + 1. assign V054593 = V335999 + 1. assign V258346 = V005825 - 1. assign V178925 = V993211 - 1. assign V176656 = V448281 + 1. assign V269094 = V657445 + 1. assign V293959 = V993092 + 1. assign V708411 = V017780 - 1. assign V094776 = V448281 + 1. assign V106231 = V802850 - 1. assign V927361 = V875368 - 1. assign V437821 = V335999. assign V567140 = V411131. assign V251890 = V780929. assign V301264 = V445628. assign V673857 = V746996 + 1. assign V623392 = V282747 + 1. assign V773037 = V423072 - 1. assign V411131 = V384789 + 1. assign V705536 = V659313. assign V399625 = V301264. assign V725921 = V674530 + 1. assign V179861 = V115168 + 1. assign V385359 = V850653. assign V993092 = V380513 + 1. assign V067666 = V838705 - 1. assign V289141 = V115168 - 1. assign V747318 = V674530 - 1. assign V153082 = V017780 + 1. assign V261543 = V712789 + 1. assign V657445 = V802850. assign V115939 = V528822 + 1. assign V918631 = V221679. assign V731565 = V725921 + 1. assign V256763 = V460267. assign V017780 = V918266 + 1. assign V790176 = V697279 - 1. assign V005825 = V674530 + 1. assign V410358 = V773037 + 1. assign V283200 = V136080. assign V136080 = V180910 + 1. assign V054592 = V179861. assign V203154 = V200201. assign V332716 = V432740 + 1. assign V139517 = V712789. assign V993211 = V035437 + 1. assign V384789 = V200201. assign V115168 = V746996 - 1. assign V501417 = V918266. assign V694333 = V712789. assign V936565 = V528822. assign V297254 = V850653. assign V413780 = V657445 - 1. assign V566354 = V608933. assign V415844 = V747318 - 1. assign V409161 = V102403 - 1. assign V467700 = V659313. assign V850653 = V747318 - 1. assign V803226 = V035437 - 1. assign V373509 = V432740 - 1. assign V877608 = V434382. assign V282747 = V380513. assign V849209 = V356761 - 1. assign V817071 = V796658 - 1. assign V448281 = V780929. assign V975082 = V694333. assign V738682 = V423072 + 1. assign V918266 = V999243 - 1. assign V220242 = V896476 + 1. assign V631178 = V283200. assign V663872 = V054592 + 1. assign V903860 = V487716 - 1. assign V609939 = V549455 - 1. assign V445628 = V035437 + 1. assign V780929 = V674530 + 1. assign V659313 = V674530. assign V669731 = V725921 + 1. assign V294052 = V389626 + 1. assign V698321 = V674530 - 1. assign V988145 = V773037 + 1. assign V663206 = V258346. assign V234883 = V415844 + 1. assign V670448 = V746996. assign V421201 = V005825. assign V432740 = V005825. assign V402623 = V380513. assign V311056 = V487716. assign V838705 = V780929 + 1. assign V316943 = V335999. assign V381744 = V738682 + 1. assign V104915 = V190598. assign V875368 = V725921. assign V503721 = V804175. assign V375399 = V796658. assign V680128 = V380513 + 1. assign V322263 = V023838 - 1. assign V920948 = V289141. assign V802850 = V566354 + 1. assign V909476 = V802850 + 1. assign V702701 = V838705. assign V725092 = V501417 + 1. assign V190598 = V102403 - 1. assign V759062 = V251890. assign V687791 = V220242 - 1. assign V702483 = V657445 + 1. assign V999230 = V384789 + 1. assign V999243 = V005825 - 1. assign V280652 = V609939 - 1. assign V793834 = V866795. assign V017561 = V484457 + 1. assign V076970 = V180910 + 1. assign V697279 = V282747 - 1. assign V379452 = V311056 + 1. assign V608933 = V005825 - 1. assign V291474 = V375399. assign V170412 = V115939 - 1. assign V487716 = V712789 + 1. assign V581784 = V115939 - 1. assign V251794 = V850653. assign V894972 = V094776. assign V796658 = V005825 - 1. assign V585794 = V316943 + 1. assign V800456 = V549455 - 1. assign V269120 = V702701 + 1. assign V836421 = V409161 + 1. assign V023838 = V106231. assign V680107 = V251794 - 1. assign V187981 = V409161 + 1. assign V744572 = V373509 + 1. assign V221679 = V261543 - 1. assign V239250 = V432740 + 1. assign V056765 = V176656. assign V791101 = V437821 + 1. assign V389626 = V035437 - 1. assign V746996 = V712789 - 1. assign V532648 = V918266 + 1. assign V549455 = V659313 + 1. assign V423072 = V261543 - 1. assign V866795 = V180910 - 1. assign V434382 = V790176 + 1. assign V937494 = V017780 - 1. assign V227855 = V239250. assign V712789 = V608933. assign V841375 = V180910. assign V579551 = V566354 + 1. assign V440235 = V094776. assign V035437 = V867992. assign V851233 = V673857 + 1. assign V804175 = 3. assign V942559 = V180910 - 1. assign V609215 = V460267 + 1. assign V380513 = V608933 + 1. assign V528822 = V094776. assign V484457 = V999243. assign V024480 = V851233 - 1. assign V142811 = V460267 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV804175 = 3;\n\nFrom these direct assignment(s), we have: \nV503721 = V804175 = 3;\nNo other variables can be derived from V503721;\nNo other variables can be derived from V804175;\n\nNow we have done all the calculations. Derived variables are:\nV804175 = 3;\nV503721 = 3;\n\nNow we have finished this problem. ANSWER:\nV804175, V503721\n", "role": "assistant" } ]

[ "V708819", "V886832" ]

[ { "content": "<context>\nassign V026717 = V295957 + 1. assign V621058 = V551976. assign V749024 = V943332. assign V752147 = V477700 + 1. assign V024870 = V029591 - 1. assign V340486 = V176983 + 1. assign V549936 = V732019. assign V574356 = V565070. assign V962300 = V282216 - 1. assign V703877 = V833750 + 1. assign V412420 = V850878 - 1. assign V618811 = V833750. assign V427726 = V742354. assign V428151 = V901034 - 1. assign V819654 = V282216 + 1. assign V767358 = V428151 - 1. assign V887470 = V908875. assign V066446 = V692693 + 1. assign V573674 = V305836. assign V477700 = V908875. assign V742354 = V794555. assign V031558 = V029591. assign V339591 = V850878. assign V944542 = V444692 + 1. assign V047018 = V262652. assign V115139 = V632684 - 1. assign V029881 = V029591 - 1. assign V126219 = V262652 + 1. assign V089817 = V692693 - 1. assign V886832 = V708819. assign V067213 = V261350 - 1. assign V935551 = V066332. assign V066332 = V766843 + 1. assign V473318 = V692693 - 1. assign V514095 = V048219. assign V023759 = V827174 - 1. assign V565070 = V232472. assign V579296 = V858921 - 1. assign V176983 = V448373. assign V377017 = V261350 - 1. assign V128336 = V827174 - 1. assign V377074 = V621058 + 1. assign V827174 = V833750. assign V966157 = V565070. assign V156765 = V295957 - 1. assign V310835 = V908875 - 1. assign V071674 = V483618 + 1. assign V289989 = V024870. assign V389557 = V928221 - 1. assign V156546 = V618811 + 1. assign V885435 = V661201. assign V852060 = V966157 + 1. assign V055418 = V310835. assign V818802 = V675681. assign V026316 = V926172 + 1. assign V294613 = V935551 + 1. assign V444692 = V661201 + 1. assign V470060 = V015641 + 1. assign V802636 = V573674 - 1. assign V238246 = V412420 + 1. assign V157786 = V551976 - 1. assign V964832 = V659410 + 1. assign V295957 = V858921 + 1. assign V803126 = V833750 - 1. assign V769211 = V622212 + 1. assign V749975 = V166846 - 1. assign V676522 = V176983. assign V098218 = V378525. assign V732019 = V912738. assign V026190 = V294613. assign V943332 = V505623 + 1. assign V505623 = V622212 - 1. assign V737793 = V176983. assign V246170 = V573674 + 1. assign V050132 = V827174 + 1. assign V794555 = V766843 + 1. assign V015641 = V761826. assign V585462 = V618811. assign V502579 = V632684. assign V140120 = V661201. assign V735756 = V761826 - 1. assign V277684 = V565070 - 1. assign V850878 = V262652 + 1. assign V343065 = V742354 - 1. assign V965972 = V964832. assign V857342 = V794555 + 1. assign V686790 = V721535. assign V283450 = V742354 + 1. assign V761826 = V752147 + 1. assign V647028 = V854710. assign V483618 = V997783. assign V852515 = V965972 - 1. assign V041015 = V099583. assign V043794 = V950688 + 1. assign V633931 = V659410. assign V342946 = V277684 - 1. assign V029965 = V343065 - 1. assign V078256 = V633931 - 1. assign V926172 = V827174 - 1. assign V928221 = V448373 + 1. assign V675681 = V343065 + 1. assign V551976 = V737793 - 1. assign V661201 = V966157 - 1. assign V117083 = V675681. assign V927774 = V819654. assign V383780 = V024870. assign V223709 = V310835 - 1. assign V321074 = V912738 + 1. assign V911218 = V383780. assign V658481 = V833750. assign V776633 = V115139 - 1. assign V314409 = V167922 + 1. assign V948332 = V699893. assign V624353 = V737793 + 1. assign V161763 = V737793. assign V215382 = V514095 + 1. assign V186912 = V477700. assign V318251 = V377017 - 1. assign V262652 = V232472 + 1. assign V386527 = V024870. assign V448373 = V232472 - 1. assign V479467 = V023759. assign V409758 = V283450 + 1. assign V950688 = V294613. assign V908875 = V766843 + 1. assign V622212 = V833750 + 1. assign V305836 = V912738. assign V282216 = V565070. assign V721535 = V167922 - 1. assign V400152 = V632684 + 1. assign V659410 = V854710 + 1. assign V939092 = V749024 - 1. assign V939917 = V766843. assign V048219 = V658481. assign V791721 = V262652 - 1. assign V766843 = V262652 - 1. assign V699893 = V409758 - 1. assign V014202 = V477700 + 1. assign V029591 = V742354 - 1. assign V378525 = V282216. assign V833750 = V262652 - 1. assign V175824 = V417176 + 1. assign V715717 = V473318. assign V167922 = V448373 - 1. assign V632684 = V658481 + 1. assign V369587 = V026316. assign V863930 = V050132 - 1. assign V293300 = V966157 - 1. assign V901034 = V417176 - 1. assign V157955 = V803126 - 1. assign V006901 = V282216 + 1. assign V708819 = 10. assign V692693 = V048219 - 1. assign V022760 = V737793. assign V166846 = V819654 - 1. assign V248410 = V632684 - 1. assign V763776 = V367921 - 1. assign V919055 = V293300. assign V858921 = V261350 - 1. assign V912738 = V574356. assign V725492 = V176983 + 1. assign V854710 = V766843 + 1. assign V417176 = V766843 + 1. assign V099583 = V703877. assign V261350 = V966157 + 1. assign V997783 = V742354 - 1. assign V541404 = V912738 + 1. assign V180292 = V735756. assign V890206 = V939092. assign V575127 = V029881 + 1. assign V098099 = V128336. assign V367921 = V176983 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V026717 = V295957 + 1. assign V621058 = V551976. assign V749024 = V943332. assign V752147 = V477700 + 1. assign V024870 = V029591 - 1. assign V340486 = V176983 + 1. assign V549936 = V732019. assign V574356 = V565070. assign V962300 = V282216 - 1. assign V703877 = V833750 + 1. assign V412420 = V850878 - 1. assign V618811 = V833750. assign V427726 = V742354. assign V428151 = V901034 - 1. assign V819654 = V282216 + 1. assign V767358 = V428151 - 1. assign V887470 = V908875. assign V066446 = V692693 + 1. assign V573674 = V305836. assign V477700 = V908875. assign V742354 = V794555. assign V031558 = V029591. assign V339591 = V850878. assign V944542 = V444692 + 1. assign V047018 = V262652. assign V115139 = V632684 - 1. assign V029881 = V029591 - 1. assign V126219 = V262652 + 1. assign V089817 = V692693 - 1. assign V886832 = V708819. assign V067213 = V261350 - 1. assign V935551 = V066332. assign V066332 = V766843 + 1. assign V473318 = V692693 - 1. assign V514095 = V048219. assign V023759 = V827174 - 1. assign V565070 = V232472. assign V579296 = V858921 - 1. assign V176983 = V448373. assign V377017 = V261350 - 1. assign V128336 = V827174 - 1. assign V377074 = V621058 + 1. assign V827174 = V833750. assign V966157 = V565070. assign V156765 = V295957 - 1. assign V310835 = V908875 - 1. assign V071674 = V483618 + 1. assign V289989 = V024870. assign V389557 = V928221 - 1. assign V156546 = V618811 + 1. assign V885435 = V661201. assign V852060 = V966157 + 1. assign V055418 = V310835. assign V818802 = V675681. assign V026316 = V926172 + 1. assign V294613 = V935551 + 1. assign V444692 = V661201 + 1. assign V470060 = V015641 + 1. assign V802636 = V573674 - 1. assign V238246 = V412420 + 1. assign V157786 = V551976 - 1. assign V964832 = V659410 + 1. assign V295957 = V858921 + 1. assign V803126 = V833750 - 1. assign V769211 = V622212 + 1. assign V749975 = V166846 - 1. assign V676522 = V176983. assign V098218 = V378525. assign V732019 = V912738. assign V026190 = V294613. assign V943332 = V505623 + 1. assign V505623 = V622212 - 1. assign V737793 = V176983. assign V246170 = V573674 + 1. assign V050132 = V827174 + 1. assign V794555 = V766843 + 1. assign V015641 = V761826. assign V585462 = V618811. assign V502579 = V632684. assign V140120 = V661201. assign V735756 = V761826 - 1. assign V277684 = V565070 - 1. assign V850878 = V262652 + 1. assign V343065 = V742354 - 1. assign V965972 = V964832. assign V857342 = V794555 + 1. assign V686790 = V721535. assign V283450 = V742354 + 1. assign V761826 = V752147 + 1. assign V647028 = V854710. assign V483618 = V997783. assign V852515 = V965972 - 1. assign V041015 = V099583. assign V043794 = V950688 + 1. assign V633931 = V659410. assign V342946 = V277684 - 1. assign V029965 = V343065 - 1. assign V078256 = V633931 - 1. assign V926172 = V827174 - 1. assign V928221 = V448373 + 1. assign V675681 = V343065 + 1. assign V551976 = V737793 - 1. assign V661201 = V966157 - 1. assign V117083 = V675681. assign V927774 = V819654. assign V383780 = V024870. assign V223709 = V310835 - 1. assign V321074 = V912738 + 1. assign V911218 = V383780. assign V658481 = V833750. assign V776633 = V115139 - 1. assign V314409 = V167922 + 1. assign V948332 = V699893. assign V624353 = V737793 + 1. assign V161763 = V737793. assign V215382 = V514095 + 1. assign V186912 = V477700. assign V318251 = V377017 - 1. assign V262652 = V232472 + 1. assign V386527 = V024870. assign V448373 = V232472 - 1. assign V479467 = V023759. assign V409758 = V283450 + 1. assign V950688 = V294613. assign V908875 = V766843 + 1. assign V622212 = V833750 + 1. assign V305836 = V912738. assign V282216 = V565070. assign V721535 = V167922 - 1. assign V400152 = V632684 + 1. assign V659410 = V854710 + 1. assign V939092 = V749024 - 1. assign V939917 = V766843. assign V048219 = V658481. assign V791721 = V262652 - 1. assign V766843 = V262652 - 1. assign V699893 = V409758 - 1. assign V014202 = V477700 + 1. assign V029591 = V742354 - 1. assign V378525 = V282216. assign V833750 = V262652 - 1. assign V175824 = V417176 + 1. assign V715717 = V473318. assign V167922 = V448373 - 1. assign V632684 = V658481 + 1. assign V369587 = V026316. assign V863930 = V050132 - 1. assign V293300 = V966157 - 1. assign V901034 = V417176 - 1. assign V157955 = V803126 - 1. assign V006901 = V282216 + 1. assign V708819 = 10. assign V692693 = V048219 - 1. assign V022760 = V737793. assign V166846 = V819654 - 1. assign V248410 = V632684 - 1. assign V763776 = V367921 - 1. assign V919055 = V293300. assign V858921 = V261350 - 1. assign V912738 = V574356. assign V725492 = V176983 + 1. assign V854710 = V766843 + 1. assign V417176 = V766843 + 1. assign V099583 = V703877. assign V261350 = V966157 + 1. assign V997783 = V742354 - 1. assign V541404 = V912738 + 1. assign V180292 = V735756. assign V890206 = V939092. assign V575127 = V029881 + 1. assign V098099 = V128336. assign V367921 = V176983 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV708819 = 10;\n\nFrom these direct assignment(s), we have: \nV886832 = V708819 = 10;\nNo other variables can be derived from V886832;\nNo other variables can be derived from V708819;\n\nNow we have done all the calculations. Derived variables are:\nV708819 = 10;\nV886832 = 10;\n\nNow we have finished this problem. ANSWER:\nV708819, V886832\n", "role": "assistant" } ]

[ "V908205" ]

[ { "content": "<context>\nassign V439093 = V282812 + 1. assign V979607 = V734638 - 1. assign V284573 = V066265. assign V439166 = V105420. assign V729637 = V513253 - 1. assign V125861 = V800765. assign V039732 = V540638 + 1. assign V317051 = V158423 - 1. assign V083741 = V089352 + 1. assign V513999 = V411843. assign V214695 = V584168 + 1. assign V071696 = V767543 + 1. assign V860097 = V941530 - 1. assign V370566 = V175699 + 1. assign V866957 = V439166 + 1. assign V251103 = V066265. assign V038728 = V896288 - 1. assign V222891 = V174693 - 1. assign V364292 = V513253. assign V355894 = V927706. assign V994108 = V439093 - 1. assign V908205 = 8. assign V441904 = V220218 - 1. assign V767543 = V294653 - 1. assign V251062 = V508255. assign V263375 = V779924 + 1. assign V509124 = V426282 - 1. assign V944504 = V992451 + 1. assign V137059 = V779924. assign V000956 = V307274 - 1. assign V765338 = V214695. assign V673753 = V810467. assign V036951 = V089352 + 1. assign V089352 = V068351. assign V340212 = V779924 - 1. assign V125802 = V633071 - 1. assign V029294 = V892558 - 1. assign V046858 = V526202 + 1. assign V294653 = V105420 - 1. assign V916919 = V158423 + 1. assign V230400 = V779924 + 1. assign V135486 = V520654 + 1. assign V927706 = V230400 - 1. assign V754428 = V000956. assign V810467 = V633071 + 1. assign V896288 = V068351. assign V993873 = V633071 - 1. assign V826071 = V729637. assign V012148 = V113955 + 1. assign V251401 = V247922. assign V043242 = V633071. assign V513253 = V841952 - 1. assign V247922 = V294653 + 1. assign V737597 = V398827. assign V467251 = V944504 + 1. assign V466804 = V927706 + 1. assign V293400 = V896946. assign V838269 = V513999. assign V699266 = V729637 + 1. assign V205817 = V066265. assign V896946 = V173067 - 1. assign V046870 = V737597. assign V068351 = V174693. assign V103169 = V205817. assign V083674 = V668492 + 1. assign V467151 = V105420. assign V572758 = V247922. assign V614384 = V841952. assign V465576 = V340212 + 1. assign V734638 = V841952 + 1. assign V917343 = V251103 + 1. assign V143250 = V916229. assign V427917 = V426282 - 1. assign V183499 = V633071. assign V226661 = V916919 + 1. assign V007342 = V282812 + 1. assign V708701 = V049013. assign V282812 = V158423. assign V492435 = V007342 - 1. assign V388805 = V540638. assign V293939 = V105420. assign V805506 = V175699 - 1. assign V334050 = V388805 - 1. assign V611182 = V000956 + 1. assign V460964 = V520654 - 1. assign V633071 = V779924 + 1. assign V242783 = V185799 + 1. assign V105420 = V841952 - 1. assign V288063 = V263375 + 1. assign V478904 = V125802 - 1. assign V185799 = V896946. assign V295108 = V293213 + 1. assign V841952 = V779924. assign V481485 = V411843 + 1. assign V541121 = V242783 - 1. assign V508255 = V066265 - 1. assign V997283 = V092423. assign V628821 = V439166 - 1. assign V720173 = V986854. assign V559322 = V734638 - 1. assign V892558 = V779924 + 1. assign V400719 = V979607. assign V584168 = V633071 + 1. assign V800765 = V174693. assign V304321 = V533117 + 1. assign V293218 = V540638. assign V862697 = V464597. assign V158423 = V810467 + 1. assign V512832 = V294653 - 1. assign V432431 = V046858 + 1. assign V932343 = V105420 - 1. assign V526202 = V896946. assign V836838 = V460964 + 1. assign V341112 = V251401. assign V691256 = V467151 + 1. assign V729680 = V439166 - 1. assign V807550 = V810467 + 1. assign V438265 = V908205 + 1. assign V234237 = V230400 - 1. assign V174693 = V584168 + 1. assign V575708 = V049013 - 1. assign V986854 = V555377 + 1. assign V398827 = V439093 - 1. assign V342127 = V927706 - 1. assign V487276 = V388805 + 1. assign V351718 = V317051 - 1. assign V293213 = V294653 - 1. assign V652977 = V841952 + 1. assign V992451 = V294653 + 1. assign V555377 = V173067 + 1. assign V251243 = V896946 - 1. assign V076554 = V247922. assign V411843 = V137059. assign V918485 = V461542 - 1. assign V912331 = V388805. assign V520654 = V734638. assign V117687 = V234237 + 1. assign V066265 = V043242 + 1. assign V092423 = V520654. assign V264809 = V135486 + 1. assign V837530 = V388805. assign V916229 = V105420. assign V789285 = V105420 + 1. assign V470315 = V520654. assign V173067 = V892558 - 1. assign V941530 = V340212 + 1. assign V275251 = V652977. assign V426282 = V779924 - 1. assign V262446 = V137059. assign V049013 = V470315. assign V540638 = V293939. assign V540656 = V043242. assign V220218 = V247922 + 1. assign V135127 = V083741. assign V307274 = V234237. assign V547735 = V471055 - 1. assign V533117 = V066265 - 1. assign V113955 = V896946. assign V412795 = V699266 + 1. assign V347291 = V526202 - 1. assign V042787 = V295108 - 1. assign V543111 = V668492 + 1. assign V454133 = V427917. assign V175699 = V668492. assign V080392 = V183499 - 1. assign V210714 = V089352 - 1. assign V464597 = V668492 + 1. assign V461542 = V992451 + 1. assign V012556 = V478904 - 1. assign V471055 = V293939. assign V660835 = V734638 - 1. assign V668492 = V810467 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V439093 = V282812 + 1. assign V979607 = V734638 - 1. assign V284573 = V066265. assign V439166 = V105420. assign V729637 = V513253 - 1. assign V125861 = V800765. assign V039732 = V540638 + 1. assign V317051 = V158423 - 1. assign V083741 = V089352 + 1. assign V513999 = V411843. assign V214695 = V584168 + 1. assign V071696 = V767543 + 1. assign V860097 = V941530 - 1. assign V370566 = V175699 + 1. assign V866957 = V439166 + 1. assign V251103 = V066265. assign V038728 = V896288 - 1. assign V222891 = V174693 - 1. assign V364292 = V513253. assign V355894 = V927706. assign V994108 = V439093 - 1. assign V908205 = 8. assign V441904 = V220218 - 1. assign V767543 = V294653 - 1. assign V251062 = V508255. assign V263375 = V779924 + 1. assign V509124 = V426282 - 1. assign V944504 = V992451 + 1. assign V137059 = V779924. assign V000956 = V307274 - 1. assign V765338 = V214695. assign V673753 = V810467. assign V036951 = V089352 + 1. assign V089352 = V068351. assign V340212 = V779924 - 1. assign V125802 = V633071 - 1. assign V029294 = V892558 - 1. assign V046858 = V526202 + 1. assign V294653 = V105420 - 1. assign V916919 = V158423 + 1. assign V230400 = V779924 + 1. assign V135486 = V520654 + 1. assign V927706 = V230400 - 1. assign V754428 = V000956. assign V810467 = V633071 + 1. assign V896288 = V068351. assign V993873 = V633071 - 1. assign V826071 = V729637. assign V012148 = V113955 + 1. assign V251401 = V247922. assign V043242 = V633071. assign V513253 = V841952 - 1. assign V247922 = V294653 + 1. assign V737597 = V398827. assign V467251 = V944504 + 1. assign V466804 = V927706 + 1. assign V293400 = V896946. assign V838269 = V513999. assign V699266 = V729637 + 1. assign V205817 = V066265. assign V896946 = V173067 - 1. assign V046870 = V737597. assign V068351 = V174693. assign V103169 = V205817. assign V083674 = V668492 + 1. assign V467151 = V105420. assign V572758 = V247922. assign V614384 = V841952. assign V465576 = V340212 + 1. assign V734638 = V841952 + 1. assign V917343 = V251103 + 1. assign V143250 = V916229. assign V427917 = V426282 - 1. assign V183499 = V633071. assign V226661 = V916919 + 1. assign V007342 = V282812 + 1. assign V708701 = V049013. assign V282812 = V158423. assign V492435 = V007342 - 1. assign V388805 = V540638. assign V293939 = V105420. assign V805506 = V175699 - 1. assign V334050 = V388805 - 1. assign V611182 = V000956 + 1. assign V460964 = V520654 - 1. assign V633071 = V779924 + 1. assign V242783 = V185799 + 1. assign V105420 = V841952 - 1. assign V288063 = V263375 + 1. assign V478904 = V125802 - 1. assign V185799 = V896946. assign V295108 = V293213 + 1. assign V841952 = V779924. assign V481485 = V411843 + 1. assign V541121 = V242783 - 1. assign V508255 = V066265 - 1. assign V997283 = V092423. assign V628821 = V439166 - 1. assign V720173 = V986854. assign V559322 = V734638 - 1. assign V892558 = V779924 + 1. assign V400719 = V979607. assign V584168 = V633071 + 1. assign V800765 = V174693. assign V304321 = V533117 + 1. assign V293218 = V540638. assign V862697 = V464597. assign V158423 = V810467 + 1. assign V512832 = V294653 - 1. assign V432431 = V046858 + 1. assign V932343 = V105420 - 1. assign V526202 = V896946. assign V836838 = V460964 + 1. assign V341112 = V251401. assign V691256 = V467151 + 1. assign V729680 = V439166 - 1. assign V807550 = V810467 + 1. assign V438265 = V908205 + 1. assign V234237 = V230400 - 1. assign V174693 = V584168 + 1. assign V575708 = V049013 - 1. assign V986854 = V555377 + 1. assign V398827 = V439093 - 1. assign V342127 = V927706 - 1. assign V487276 = V388805 + 1. assign V351718 = V317051 - 1. assign V293213 = V294653 - 1. assign V652977 = V841952 + 1. assign V992451 = V294653 + 1. assign V555377 = V173067 + 1. assign V251243 = V896946 - 1. assign V076554 = V247922. assign V411843 = V137059. assign V918485 = V461542 - 1. assign V912331 = V388805. assign V520654 = V734638. assign V117687 = V234237 + 1. assign V066265 = V043242 + 1. assign V092423 = V520654. assign V264809 = V135486 + 1. assign V837530 = V388805. assign V916229 = V105420. assign V789285 = V105420 + 1. assign V470315 = V520654. assign V173067 = V892558 - 1. assign V941530 = V340212 + 1. assign V275251 = V652977. assign V426282 = V779924 - 1. assign V262446 = V137059. assign V049013 = V470315. assign V540638 = V293939. assign V540656 = V043242. assign V220218 = V247922 + 1. assign V135127 = V083741. assign V307274 = V234237. assign V547735 = V471055 - 1. assign V533117 = V066265 - 1. assign V113955 = V896946. assign V412795 = V699266 + 1. assign V347291 = V526202 - 1. assign V042787 = V295108 - 1. assign V543111 = V668492 + 1. assign V454133 = V427917. assign V175699 = V668492. assign V080392 = V183499 - 1. assign V210714 = V089352 - 1. assign V464597 = V668492 + 1. assign V461542 = V992451 + 1. assign V012556 = V478904 - 1. assign V471055 = V293939. assign V660835 = V734638 - 1. assign V668492 = V810467 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV908205 = 8;\n\nFrom these direct assignment(s), we have: \nV438265 = V908205 + 1 = 8 + 1 =9;\nNo other variables can be derived from V438265;\nNo other variables can be derived from V908205;\n\nNow we have done all the calculations. Derived variables are:\nV908205 = 8;\nV438265 = 9;\n\nNow we have finished this problem. ANSWER:\nV908205\n", "role": "assistant" } ]

[ "V467977" ]

[ { "content": "<context>\nassign V295704 = V289322 - 1. assign V654069 = V772615 + 1. assign V675237 = V155426 + 1. assign V499023 = V087694. assign V519293 = V253496 - 1. assign V423080 = V411869 + 1. assign V281596 = V513826 - 1. assign V978661 = V682871. assign V059571 = V929978. assign V240318 = V654069 - 1. assign V369300 = V583398. assign V421860 = V077234. assign V554042 = V523794 - 1. assign V523635 = V847475 + 1. assign V316700 = V053921. assign V552500 = V225385 + 1. assign V493417 = V155426. assign V841950 = V033502 + 1. assign V652094 = V431489 + 1. assign V847475 = V033502 + 1. assign V113688 = V918029 + 1. assign V922211 = V842614. assign V425514 = V306325 + 1. assign V469270 = V433103 - 1. assign V966283 = V856404 - 1. assign V678655 = V033502 - 1. assign V811141 = V509890 + 1. assign V927044 = V583398. assign V083629 = V113097. assign V433103 = V268620 + 1. assign V852435 = V313666 - 1. assign V942130 = V267578 + 1. assign V682871 = V268620 - 1. assign V079912 = V394056 + 1. assign V629551 = V085941. assign V576927 = V739511. assign V471570 = V331326 + 1. assign V197278 = V314674 - 1. assign V825632 = V471570. assign V329930 = V210037. assign V218610 = V155426 + 1. assign V114586 = V340676 - 1. assign V032096 = V268620. assign V842614 = V523635. assign V520216 = V552500. assign V263137 = V007078. assign V306325 = V113688. assign V764082 = V702900 - 1. assign V427025 = V554449 + 1. assign V467977 = 5. assign V431489 = V338519. assign V689856 = V530187 - 1. assign V792730 = V220302 + 1. assign V340676 = V493417. assign V338519 = V757653 + 1. assign V087694 = V673983 + 1. assign V746003 = V842614 - 1. assign V108891 = V562531 - 1. assign V268620 = V749793 - 1. assign V345877 = V289322 + 1. assign V359841 = V218610 + 1. assign V585289 = V263137 + 1. assign V235455 = V268620. assign V210037 = V079912 + 1. assign V178165 = V702900 + 1. assign V258484 = V487901 - 1. assign V456852 = V732209 + 1. assign V918029 = V682871. assign V226576 = V819701. assign V594710 = V331326 + 1. assign V331326 = V918029 - 1. assign V897191 = V113097 - 1. assign V965444 = V218610 + 1. assign V760718 = V922211 + 1. assign V155419 = V348977 + 1. assign V092555 = V678655 - 1. assign V166452 = V678655 - 1. assign V797772 = V314674. assign V060833 = V077234. assign V705019 = V268620 - 1. assign V578560 = V253496. assign V322726 = V433103 - 1. assign V000266 = V338519. assign V176257 = V682871 + 1. assign V723852 = V108891 - 1. assign V411869 = V139528. assign V113097 = V918029. assign V523794 = V852435 + 1. assign V739511 = V433103 - 1. assign V128556 = V077234 - 1. assign V819701 = V702900 - 1. assign V907997 = V139528. assign V007078 = V393988 - 1. assign V339147 = V268620. assign V509890 = V033502 - 1. assign V314674 = V176257. assign V225385 = V523635. assign V334048 = V666467 - 1. assign V289322 = V139528 - 1. assign V929978 = V554449 - 1. assign V772615 = V176257. assign V085941 = V702900 - 1. assign V525014 = V098023. assign V856404 = V697699 + 1. assign V390538 = V705019 - 1. assign V267578 = V087694 + 1. assign V254951 = V682871. assign V348977 = V393988 + 1. assign V609085 = V856404. assign V554449 = V268620. assign V419231 = V583398 + 1. assign V673983 = V918029 + 1. assign V782966 = V456852 - 1. assign V625269 = V393988 - 1. assign V139528 = V749793 + 1. assign V946144 = V781464 - 1. assign V513826 = V909655. assign V124670 = V523635 - 1. assign V365665 = V295704 - 1. assign V313666 = V847475 + 1. assign V732209 = V268620 - 1. assign V358381 = V554449 - 1. assign V347209 = V394056 + 1. assign V006974 = V666467 - 1. assign V394056 = V682871 - 1. assign V487901 = V747861 + 1. assign V180691 = V772615. assign V909655 = V847475 + 1. assign V749793 = V583398. assign V032178 = V795727 - 1. assign V393988 = V033502 - 1. assign V086345 = V673983 + 1. assign V089956 = V702900 + 1. assign V276708 = V166452. assign V781464 = V253496 - 1. assign V747861 = V757653 + 1. assign V283596 = V155426. assign V447447 = V295704 + 1. assign V898868 = V467977 - 1. assign V032154 = V089956. assign V098023 = V113688. assign V562531 = V456852. assign V795727 = V678655 + 1. assign V335105 = V772615 + 1. assign V002058 = V087694 - 1. assign V702900 = V509890. assign V220302 = V795727 + 1. assign V184734 = V909655. assign V757653 = V705019 - 1. assign V253496 = V306325. assign V530187 = V757653 + 1. assign V666467 = V493417. assign V301664 = V493417. assign V090155 = V002058 + 1. assign V174326 = V682871 + 1. assign V077234 = V927044 + 1. assign V621737 = V493417. assign V033502 = V268620 - 1. assign V214153 = V666467 + 1. assign V757089 = V077234 + 1. assign V531188 = V447447 + 1. assign V942861 = V673983 - 1. assign V155426 = V705019 + 1. assign V306012 = V339147. assign V627783 = V897191. assign V778910 = V263404 + 1. assign V798326 = V469270 + 1. assign V378288 = V523635. assign V053921 = V702900 + 1. assign V263404 = V197278 - 1. assign V298640 = V155426. assign V697699 = V746003 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V295704 = V289322 - 1. assign V654069 = V772615 + 1. assign V675237 = V155426 + 1. assign V499023 = V087694. assign V519293 = V253496 - 1. assign V423080 = V411869 + 1. assign V281596 = V513826 - 1. assign V978661 = V682871. assign V059571 = V929978. assign V240318 = V654069 - 1. assign V369300 = V583398. assign V421860 = V077234. assign V554042 = V523794 - 1. assign V523635 = V847475 + 1. assign V316700 = V053921. assign V552500 = V225385 + 1. assign V493417 = V155426. assign V841950 = V033502 + 1. assign V652094 = V431489 + 1. assign V847475 = V033502 + 1. assign V113688 = V918029 + 1. assign V922211 = V842614. assign V425514 = V306325 + 1. assign V469270 = V433103 - 1. assign V966283 = V856404 - 1. assign V678655 = V033502 - 1. assign V811141 = V509890 + 1. assign V927044 = V583398. assign V083629 = V113097. assign V433103 = V268620 + 1. assign V852435 = V313666 - 1. assign V942130 = V267578 + 1. assign V682871 = V268620 - 1. assign V079912 = V394056 + 1. assign V629551 = V085941. assign V576927 = V739511. assign V471570 = V331326 + 1. assign V197278 = V314674 - 1. assign V825632 = V471570. assign V329930 = V210037. assign V218610 = V155426 + 1. assign V114586 = V340676 - 1. assign V032096 = V268620. assign V842614 = V523635. assign V520216 = V552500. assign V263137 = V007078. assign V306325 = V113688. assign V764082 = V702900 - 1. assign V427025 = V554449 + 1. assign V467977 = 5. assign V431489 = V338519. assign V689856 = V530187 - 1. assign V792730 = V220302 + 1. assign V340676 = V493417. assign V338519 = V757653 + 1. assign V087694 = V673983 + 1. assign V746003 = V842614 - 1. assign V108891 = V562531 - 1. assign V268620 = V749793 - 1. assign V345877 = V289322 + 1. assign V359841 = V218610 + 1. assign V585289 = V263137 + 1. assign V235455 = V268620. assign V210037 = V079912 + 1. assign V178165 = V702900 + 1. assign V258484 = V487901 - 1. assign V456852 = V732209 + 1. assign V918029 = V682871. assign V226576 = V819701. assign V594710 = V331326 + 1. assign V331326 = V918029 - 1. assign V897191 = V113097 - 1. assign V965444 = V218610 + 1. assign V760718 = V922211 + 1. assign V155419 = V348977 + 1. assign V092555 = V678655 - 1. assign V166452 = V678655 - 1. assign V797772 = V314674. assign V060833 = V077234. assign V705019 = V268620 - 1. assign V578560 = V253496. assign V322726 = V433103 - 1. assign V000266 = V338519. assign V176257 = V682871 + 1. assign V723852 = V108891 - 1. assign V411869 = V139528. assign V113097 = V918029. assign V523794 = V852435 + 1. assign V739511 = V433103 - 1. assign V128556 = V077234 - 1. assign V819701 = V702900 - 1. assign V907997 = V139528. assign V007078 = V393988 - 1. assign V339147 = V268620. assign V509890 = V033502 - 1. assign V314674 = V176257. assign V225385 = V523635. assign V334048 = V666467 - 1. assign V289322 = V139528 - 1. assign V929978 = V554449 - 1. assign V772615 = V176257. assign V085941 = V702900 - 1. assign V525014 = V098023. assign V856404 = V697699 + 1. assign V390538 = V705019 - 1. assign V267578 = V087694 + 1. assign V254951 = V682871. assign V348977 = V393988 + 1. assign V609085 = V856404. assign V554449 = V268620. assign V419231 = V583398 + 1. assign V673983 = V918029 + 1. assign V782966 = V456852 - 1. assign V625269 = V393988 - 1. assign V139528 = V749793 + 1. assign V946144 = V781464 - 1. assign V513826 = V909655. assign V124670 = V523635 - 1. assign V365665 = V295704 - 1. assign V313666 = V847475 + 1. assign V732209 = V268620 - 1. assign V358381 = V554449 - 1. assign V347209 = V394056 + 1. assign V006974 = V666467 - 1. assign V394056 = V682871 - 1. assign V487901 = V747861 + 1. assign V180691 = V772615. assign V909655 = V847475 + 1. assign V749793 = V583398. assign V032178 = V795727 - 1. assign V393988 = V033502 - 1. assign V086345 = V673983 + 1. assign V089956 = V702900 + 1. assign V276708 = V166452. assign V781464 = V253496 - 1. assign V747861 = V757653 + 1. assign V283596 = V155426. assign V447447 = V295704 + 1. assign V898868 = V467977 - 1. assign V032154 = V089956. assign V098023 = V113688. assign V562531 = V456852. assign V795727 = V678655 + 1. assign V335105 = V772615 + 1. assign V002058 = V087694 - 1. assign V702900 = V509890. assign V220302 = V795727 + 1. assign V184734 = V909655. assign V757653 = V705019 - 1. assign V253496 = V306325. assign V530187 = V757653 + 1. assign V666467 = V493417. assign V301664 = V493417. assign V090155 = V002058 + 1. assign V174326 = V682871 + 1. assign V077234 = V927044 + 1. assign V621737 = V493417. assign V033502 = V268620 - 1. assign V214153 = V666467 + 1. assign V757089 = V077234 + 1. assign V531188 = V447447 + 1. assign V942861 = V673983 - 1. assign V155426 = V705019 + 1. assign V306012 = V339147. assign V627783 = V897191. assign V778910 = V263404 + 1. assign V798326 = V469270 + 1. assign V378288 = V523635. assign V053921 = V702900 + 1. assign V263404 = V197278 - 1. assign V298640 = V155426. assign V697699 = V746003 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV467977 = 5;\n\nFrom these direct assignment(s), we have: \nV898868 = V467977 - 1 = 5 - 1 =4;\nNo other variables can be derived from V898868;\nNo other variables can be derived from V467977;\n\nNow we have done all the calculations. Derived variables are:\nV467977 = 5;\nV898868 = 4;\n\nNow we have finished this problem. ANSWER:\nV467977\n", "role": "assistant" } ]

[ "V675893" ]

[ { "content": "<context>\nassign V471537 = V555801 + 1. assign V877887 = V171040. assign V391796 = V358467 + 1. assign V706976 = V044574 - 1. assign V146195 = V367270 + 1. assign V365813 = V296486. assign V392208 = V894312 + 1. assign V780001 = V869583. assign V890840 = 0. assign V040633 = V218546. assign V282332 = V358530. assign V727727 = V766569. assign V455029 = V706976 + 1. assign V573217 = V417561. assign V296486 = V459487 - 1. assign V273086 = V412790 - 1. assign V625858 = V973315 + 1. assign V997011 = V996412 + 1. assign V235370 = V163842. assign V211788 = V973315 - 1. assign V175901 = V727727 - 1. assign V404587 = V195709 - 1. assign V206013 = V242306. assign V776779 = V358467. assign V711498 = V357107 - 1. assign V894244 = V939397. assign V334740 = V736008 + 1. assign V510226 = V619028 - 1. assign V791057 = V374839 - 1. assign V698056 = V415789. assign V973315 = V572127 - 1. assign V829013 = V572127 - 1. assign V085281 = V698056. assign V095924 = V146195 - 1. assign V869583 = V234792 - 1. assign V198603 = V885957. assign V729596 = V869583 + 1. assign V807358 = V860628. assign V224000 = V391796 + 1. assign V088748 = V357107 + 1. assign V551831 = V717026 + 1. assign V942530 = V175901 + 1. assign V894312 = V905076. assign V559459 = V186051 + 1. assign V860628 = V885957 - 1. assign V717026 = V334740. assign V484191 = V545710. assign V000544 = V963088. assign V234792 = V415789. assign V727205 = V754423 - 1. assign V832874 = V486452 - 1. assign V767265 = V962489 + 1. assign V186051 = V282332 - 1. assign V297103 = V242306 - 1. assign V991797 = V498997 + 1. assign V367270 = V766569 - 1. assign V143694 = V647156 + 1. assign V460180 = V736008 + 1. assign V793418 = V132878 - 1. assign V885957 = V869583 - 1. assign V067791 = V195709 - 1. assign V707382 = V706976 + 1. assign V871963 = V163842. assign V044574 = V463963 + 1. assign V747014 = V668968 + 1. assign V737285 = V729596 - 1. assign V134898 = V727727. assign V486452 = V358530 + 1. assign V463963 = V206013. assign V655357 = V208231 - 1. assign V805560 = V668968 - 1. assign V939397 = V234102. assign V547882 = V041150 - 1. assign V208231 = V367270 - 1. assign V171743 = V754423. assign V619028 = V572127 - 1. assign V833307 = V186051 + 1. assign V132878 = V973315 - 1. assign V330186 = V962489 - 1. assign V675893 = V890840 - 1. assign V358530 = V143694 + 1. assign V562936 = V373821 - 1. assign V903684 = V235971 - 1. assign V415789 = V498997 + 1. assign V808805 = V059814 + 1. assign V647156 = V242306 + 1. assign V668968 = V391796 + 1. assign V785462 = V727727 + 1. assign V177118 = V613262 + 1. assign V456170 = V268238 - 1. assign V739804 = V729596 + 1. assign V933928 = V273086 + 1. assign V153998 = V373821. assign V740267 = V223851 + 1. assign V100556 = V562936 - 1. assign V639713 = V706976 + 1. assign V808650 = V766569 - 1. assign V020717 = V730281 - 1. assign V059814 = V412790. assign V234102 = V208231 - 1. assign V357107 = V619028 - 1. assign V555801 = V404587. assign V358467 = V242306. assign V373821 = V498997 - 1. assign V730281 = V041150 - 1. assign V934355 = V905076 + 1. assign V973665 = V358467. assign V963088 = V040633 + 1. assign V736008 = V727727. assign V391426 = V747014 + 1. assign V514108 = V588161 + 1. assign V195709 = V934355. assign V242306 = V415789. assign V951399 = V996412 + 1. assign V577809 = V456170. assign V490191 = V894312 + 1. assign V466377 = V455029 + 1. assign V223851 = V242306 - 1. assign V870917 = V463963 - 1. assign V239666 = V391796 - 1. assign V570737 = V490191. assign V754423 = V415789. assign V014033 = V044574. assign V154663 = V939397 + 1. assign V676241 = V933928 + 1. assign V380117 = V027007 - 1. assign V693803 = V334740 + 1. assign V097158 = V793418 - 1. assign V905076 = V143694 + 1. assign V610085 = V647156 + 1. assign V463528 = V218546 - 1. assign V235971 = V754423. assign V041150 = V747014. assign V018466 = V143694. assign V621349 = V942530 + 1. assign V996412 = V962489 - 1. assign V706457 = V805560 - 1. assign V090197 = V706976 + 1. assign V417561 = V727727 - 1. assign V545710 = V894312 + 1. assign V218546 = V018466 - 1. assign V268238 = V754423. assign V412790 = V934355 - 1. assign V959851 = V358530 - 1. assign V559491 = V547882 + 1. assign V705024 = V358530 + 1. assign V221634 = V455029 - 1. assign V959526 = V959851 + 1. assign V205054 = V490191. assign V580668 = V014033 - 1. assign V324457 = V780001 + 1. assign V039385 = V736008 + 1. assign V459487 = V242306 - 1. assign V965909 = V044574 - 1. assign V993382 = V463963. assign V163842 = V705024 - 1. assign V613262 = V570737 - 1. assign V747826 = V705024 + 1. assign V351499 = V740267 - 1. assign V027007 = V143694 - 1. assign V974547 = V705024 + 1. assign V163978 = V143694 - 1. assign V171040 = V498997 - 1. assign V112450 = V905076 + 1. assign V344332 = V459487 + 1. assign V588161 = V610085. assign V374839 = V619028 + 1. assign V498997 = V572127 - 1. assign V236146 = V498997 - 1. assign V766569 = V991797 + 1. assign V803884 = V268238 - 1. assign V962489 = V459487.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V471537 = V555801 + 1. assign V877887 = V171040. assign V391796 = V358467 + 1. assign V706976 = V044574 - 1. assign V146195 = V367270 + 1. assign V365813 = V296486. assign V392208 = V894312 + 1. assign V780001 = V869583. assign V890840 = 0. assign V040633 = V218546. assign V282332 = V358530. assign V727727 = V766569. assign V455029 = V706976 + 1. assign V573217 = V417561. assign V296486 = V459487 - 1. assign V273086 = V412790 - 1. assign V625858 = V973315 + 1. assign V997011 = V996412 + 1. assign V235370 = V163842. assign V211788 = V973315 - 1. assign V175901 = V727727 - 1. assign V404587 = V195709 - 1. assign V206013 = V242306. assign V776779 = V358467. assign V711498 = V357107 - 1. assign V894244 = V939397. assign V334740 = V736008 + 1. assign V510226 = V619028 - 1. assign V791057 = V374839 - 1. assign V698056 = V415789. assign V973315 = V572127 - 1. assign V829013 = V572127 - 1. assign V085281 = V698056. assign V095924 = V146195 - 1. assign V869583 = V234792 - 1. assign V198603 = V885957. assign V729596 = V869583 + 1. assign V807358 = V860628. assign V224000 = V391796 + 1. assign V088748 = V357107 + 1. assign V551831 = V717026 + 1. assign V942530 = V175901 + 1. assign V894312 = V905076. assign V559459 = V186051 + 1. assign V860628 = V885957 - 1. assign V717026 = V334740. assign V484191 = V545710. assign V000544 = V963088. assign V234792 = V415789. assign V727205 = V754423 - 1. assign V832874 = V486452 - 1. assign V767265 = V962489 + 1. assign V186051 = V282332 - 1. assign V297103 = V242306 - 1. assign V991797 = V498997 + 1. assign V367270 = V766569 - 1. assign V143694 = V647156 + 1. assign V460180 = V736008 + 1. assign V793418 = V132878 - 1. assign V885957 = V869583 - 1. assign V067791 = V195709 - 1. assign V707382 = V706976 + 1. assign V871963 = V163842. assign V044574 = V463963 + 1. assign V747014 = V668968 + 1. assign V737285 = V729596 - 1. assign V134898 = V727727. assign V486452 = V358530 + 1. assign V463963 = V206013. assign V655357 = V208231 - 1. assign V805560 = V668968 - 1. assign V939397 = V234102. assign V547882 = V041150 - 1. assign V208231 = V367270 - 1. assign V171743 = V754423. assign V619028 = V572127 - 1. assign V833307 = V186051 + 1. assign V132878 = V973315 - 1. assign V330186 = V962489 - 1. assign V675893 = V890840 - 1. assign V358530 = V143694 + 1. assign V562936 = V373821 - 1. assign V903684 = V235971 - 1. assign V415789 = V498997 + 1. assign V808805 = V059814 + 1. assign V647156 = V242306 + 1. assign V668968 = V391796 + 1. assign V785462 = V727727 + 1. assign V177118 = V613262 + 1. assign V456170 = V268238 - 1. assign V739804 = V729596 + 1. assign V933928 = V273086 + 1. assign V153998 = V373821. assign V740267 = V223851 + 1. assign V100556 = V562936 - 1. assign V639713 = V706976 + 1. assign V808650 = V766569 - 1. assign V020717 = V730281 - 1. assign V059814 = V412790. assign V234102 = V208231 - 1. assign V357107 = V619028 - 1. assign V555801 = V404587. assign V358467 = V242306. assign V373821 = V498997 - 1. assign V730281 = V041150 - 1. assign V934355 = V905076 + 1. assign V973665 = V358467. assign V963088 = V040633 + 1. assign V736008 = V727727. assign V391426 = V747014 + 1. assign V514108 = V588161 + 1. assign V195709 = V934355. assign V242306 = V415789. assign V951399 = V996412 + 1. assign V577809 = V456170. assign V490191 = V894312 + 1. assign V466377 = V455029 + 1. assign V223851 = V242306 - 1. assign V870917 = V463963 - 1. assign V239666 = V391796 - 1. assign V570737 = V490191. assign V754423 = V415789. assign V014033 = V044574. assign V154663 = V939397 + 1. assign V676241 = V933928 + 1. assign V380117 = V027007 - 1. assign V693803 = V334740 + 1. assign V097158 = V793418 - 1. assign V905076 = V143694 + 1. assign V610085 = V647156 + 1. assign V463528 = V218546 - 1. assign V235971 = V754423. assign V041150 = V747014. assign V018466 = V143694. assign V621349 = V942530 + 1. assign V996412 = V962489 - 1. assign V706457 = V805560 - 1. assign V090197 = V706976 + 1. assign V417561 = V727727 - 1. assign V545710 = V894312 + 1. assign V218546 = V018466 - 1. assign V268238 = V754423. assign V412790 = V934355 - 1. assign V959851 = V358530 - 1. assign V559491 = V547882 + 1. assign V705024 = V358530 + 1. assign V221634 = V455029 - 1. assign V959526 = V959851 + 1. assign V205054 = V490191. assign V580668 = V014033 - 1. assign V324457 = V780001 + 1. assign V039385 = V736008 + 1. assign V459487 = V242306 - 1. assign V965909 = V044574 - 1. assign V993382 = V463963. assign V163842 = V705024 - 1. assign V613262 = V570737 - 1. assign V747826 = V705024 + 1. assign V351499 = V740267 - 1. assign V027007 = V143694 - 1. assign V974547 = V705024 + 1. assign V163978 = V143694 - 1. assign V171040 = V498997 - 1. assign V112450 = V905076 + 1. assign V344332 = V459487 + 1. assign V588161 = V610085. assign V374839 = V619028 + 1. assign V498997 = V572127 - 1. assign V236146 = V498997 - 1. assign V766569 = V991797 + 1. assign V803884 = V268238 - 1. assign V962489 = V459487.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV890840 = 0;\n\nFrom these direct assignment(s), we have: \nV675893 = V890840 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V675893;\nNo other variables can be derived from V890840;\n\nNow we have done all the calculations. Derived variables are:\nV890840 = 0;\nV675893 = -1;\n\nNow we have finished this problem. ANSWER:\nV675893\n", "role": "assistant" } ]

[ "V978637" ]

[ { "content": "<context>\nassign V263543 = V114425. assign V376767 = V548667 - 1. assign V479305 = V360630 - 1. assign V851878 = V777817. assign V597377 = V937516. assign V377168 = V503725 - 1. assign V748507 = V271603 - 1. assign V217448 = V008851 - 1. assign V777817 = V194354 + 1. assign V843739 = V471662. assign V135790 = V134301 - 1. assign V598557 = V548470 - 1. assign V716605 = V405741 - 1. assign V196484 = V356274. assign V645923 = V503725 - 1. assign V940524 = V164655 + 1. assign V280362 = V401942. assign V521832 = V138570 - 1. assign V157167 = V077949 + 1. assign V494493 = V641025 - 1. assign V281507 = V542945 + 1. assign V477984 = V908133. assign V479425 = V274096. assign V240559 = V851878 + 1. assign V937516 = V587552 + 1. assign V641025 = V290883 + 1. assign V513607 = V431802 + 1. assign V431802 = V274096 + 1. assign V672079 = V717018 + 1. assign V077949 = V240559 + 1. assign V210799 = V955799. assign V129943 = V134301. assign V262422 = V473787. assign V431218 = V454151. assign V448681 = V655308 - 1. assign V582348 = V274096. assign V908133 = V955799 - 1. assign V289091 = V950352 + 1. assign V921851 = V417921 + 1. assign V845180 = V542945 + 1. assign V899652 = V955799. assign V935027 = V556182. assign V360630 = V208373 - 1. assign V154490 = V134301 - 1. assign V858210 = V717018. assign V677120 = V080989 - 1. assign V548470 = V134301 + 1. assign V114425 = V401942 - 1. assign V379825 = V208373 - 1. assign V994508 = V008851 - 1. assign V080989 = V134047. assign V022159 = V641025 + 1. assign V471662 = V164655 + 1. assign V810064 = V196484 + 1. assign V354888 = V950352 - 1. assign V548667 = V940524 + 1. assign V623730 = V401942 - 1. assign V053059 = V897286. assign V992659 = 0. assign V333767 = V821499 + 1. assign V503725 = V498584. assign V076721 = V897286 + 1. assign V623280 = V821499. assign V625379 = V940524. assign V611167 = V405741 - 1. assign V589232 = V473787 - 1. assign V952362 = V217448. assign V398412 = V589946. assign V496454 = V665319 - 1. assign V921634 = V473787 + 1. assign V511143 = V798513 - 1. assign V194354 = V548470. assign V958221 = V134047 - 1. assign V308136 = V281507 + 1. assign V322803 = V479305 - 1. assign V408933 = V154490 - 1. assign V586465 = V498584 - 1. assign V919770 = V164655 - 1. assign V473787 = V897286. assign V798513 = V134301 - 1. assign V542945 = V134047 - 1. assign V032574 = V077949 + 1. assign V356274 = V008851 - 1. assign V596602 = V838431. assign V801773 = V471662 - 1. assign V585613 = V473787 + 1. assign V271603 = V134047 + 1. assign V643788 = V274096 + 1. assign V978637 = V992659 + 1. assign V589946 = V748507. assign V661447 = V548667 - 1. assign V020762 = V845180 + 1. assign V044765 = V935027 - 1. assign V008851 = V798513 + 1. assign V717018 = V542945. assign V640439 = V008851. assign V903809 = V417921 + 1. assign V851274 = V274096 - 1. assign V625018 = V902817 + 1. assign V454151 = V717018. assign V875007 = V114425 - 1. assign V789624 = V732400 - 1. assign V951360 = V587552 + 1. assign V928467 = V448681 - 1. assign V917019 = V548667. assign V655308 = V713569 + 1. assign V897286 = V548470 + 1. assign V047683 = V119006 - 1. assign V412024 = V271603 + 1. assign V821499 = V641025. assign V544544 = V194354 - 1. assign V069042 = V496454 + 1. assign V702453 = V643788 - 1. assign V703732 = V641025 + 1. assign V486543 = V022159. assign V193117 = V935027 - 1. assign V587552 = V076721. assign V190308 = V641025 - 1. assign V670235 = V575846 - 1. assign V134047 = V774584. assign V153704 = V405741 - 1. assign V785506 = V417921 - 1. assign V306490 = V217448 + 1. assign V838431 = V640439. assign V102773 = V182721 - 1. assign V417921 = V135790 + 1. assign V713569 = V408933 + 1. assign V794238 = V899652 - 1. assign V955799 = V154490 - 1. assign V665319 = V494493 - 1. assign V684177 = V263543 + 1. assign V397502 = V076721. assign V892606 = V102773 - 1. assign V498584 = V164655 - 1. assign V702066 = V937516 + 1. assign V232848 = V182721. assign V774584 = V641025 - 1. assign V556182 = V665319 + 1. assign V401942 = V665319. assign V274096 = V542945 + 1. assign V732400 = V290883 + 1. assign V652590 = V412024 - 1. assign V765142 = V217448. assign V950352 = V281507. assign V046176 = V135790 - 1. assign V978541 = V810064 + 1. assign V331399 = V401942 + 1. assign V133270 = V625018. assign V942667 = V471662 + 1. assign V835759 = V496454. assign V327586 = V498584 - 1. assign V636160 = V776283 - 1. assign V902817 = V297701 + 1. assign V134301 = V641025. assign V297701 = V290883. assign V420252 = V821499 - 1. assign V182721 = V548470 - 1. assign V164655 = V134301 - 1. assign V286426 = V473787. assign V405741 = V548470 - 1. assign V053838 = V164655 + 1. assign V575846 = V958221 - 1. assign V781558 = V851274. assign V138570 = V548470. assign V740176 = V473787 - 1. assign V780515 = V548667 - 1. assign V208373 = V717018 + 1. assign V776283 = V942667 + 1. assign V209277 = V154490. assign V371130 = V875007. assign V530748 = V135790 - 1. assign V119006 = V717018.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V263543 = V114425. assign V376767 = V548667 - 1. assign V479305 = V360630 - 1. assign V851878 = V777817. assign V597377 = V937516. assign V377168 = V503725 - 1. assign V748507 = V271603 - 1. assign V217448 = V008851 - 1. assign V777817 = V194354 + 1. assign V843739 = V471662. assign V135790 = V134301 - 1. assign V598557 = V548470 - 1. assign V716605 = V405741 - 1. assign V196484 = V356274. assign V645923 = V503725 - 1. assign V940524 = V164655 + 1. assign V280362 = V401942. assign V521832 = V138570 - 1. assign V157167 = V077949 + 1. assign V494493 = V641025 - 1. assign V281507 = V542945 + 1. assign V477984 = V908133. assign V479425 = V274096. assign V240559 = V851878 + 1. assign V937516 = V587552 + 1. assign V641025 = V290883 + 1. assign V513607 = V431802 + 1. assign V431802 = V274096 + 1. assign V672079 = V717018 + 1. assign V077949 = V240559 + 1. assign V210799 = V955799. assign V129943 = V134301. assign V262422 = V473787. assign V431218 = V454151. assign V448681 = V655308 - 1. assign V582348 = V274096. assign V908133 = V955799 - 1. assign V289091 = V950352 + 1. assign V921851 = V417921 + 1. assign V845180 = V542945 + 1. assign V899652 = V955799. assign V935027 = V556182. assign V360630 = V208373 - 1. assign V154490 = V134301 - 1. assign V858210 = V717018. assign V677120 = V080989 - 1. assign V548470 = V134301 + 1. assign V114425 = V401942 - 1. assign V379825 = V208373 - 1. assign V994508 = V008851 - 1. assign V080989 = V134047. assign V022159 = V641025 + 1. assign V471662 = V164655 + 1. assign V810064 = V196484 + 1. assign V354888 = V950352 - 1. assign V548667 = V940524 + 1. assign V623730 = V401942 - 1. assign V053059 = V897286. assign V992659 = 0. assign V333767 = V821499 + 1. assign V503725 = V498584. assign V076721 = V897286 + 1. assign V623280 = V821499. assign V625379 = V940524. assign V611167 = V405741 - 1. assign V589232 = V473787 - 1. assign V952362 = V217448. assign V398412 = V589946. assign V496454 = V665319 - 1. assign V921634 = V473787 + 1. assign V511143 = V798513 - 1. assign V194354 = V548470. assign V958221 = V134047 - 1. assign V308136 = V281507 + 1. assign V322803 = V479305 - 1. assign V408933 = V154490 - 1. assign V586465 = V498584 - 1. assign V919770 = V164655 - 1. assign V473787 = V897286. assign V798513 = V134301 - 1. assign V542945 = V134047 - 1. assign V032574 = V077949 + 1. assign V356274 = V008851 - 1. assign V596602 = V838431. assign V801773 = V471662 - 1. assign V585613 = V473787 + 1. assign V271603 = V134047 + 1. assign V643788 = V274096 + 1. assign V978637 = V992659 + 1. assign V589946 = V748507. assign V661447 = V548667 - 1. assign V020762 = V845180 + 1. assign V044765 = V935027 - 1. assign V008851 = V798513 + 1. assign V717018 = V542945. assign V640439 = V008851. assign V903809 = V417921 + 1. assign V851274 = V274096 - 1. assign V625018 = V902817 + 1. assign V454151 = V717018. assign V875007 = V114425 - 1. assign V789624 = V732400 - 1. assign V951360 = V587552 + 1. assign V928467 = V448681 - 1. assign V917019 = V548667. assign V655308 = V713569 + 1. assign V897286 = V548470 + 1. assign V047683 = V119006 - 1. assign V412024 = V271603 + 1. assign V821499 = V641025. assign V544544 = V194354 - 1. assign V069042 = V496454 + 1. assign V702453 = V643788 - 1. assign V703732 = V641025 + 1. assign V486543 = V022159. assign V193117 = V935027 - 1. assign V587552 = V076721. assign V190308 = V641025 - 1. assign V670235 = V575846 - 1. assign V134047 = V774584. assign V153704 = V405741 - 1. assign V785506 = V417921 - 1. assign V306490 = V217448 + 1. assign V838431 = V640439. assign V102773 = V182721 - 1. assign V417921 = V135790 + 1. assign V713569 = V408933 + 1. assign V794238 = V899652 - 1. assign V955799 = V154490 - 1. assign V665319 = V494493 - 1. assign V684177 = V263543 + 1. assign V397502 = V076721. assign V892606 = V102773 - 1. assign V498584 = V164655 - 1. assign V702066 = V937516 + 1. assign V232848 = V182721. assign V774584 = V641025 - 1. assign V556182 = V665319 + 1. assign V401942 = V665319. assign V274096 = V542945 + 1. assign V732400 = V290883 + 1. assign V652590 = V412024 - 1. assign V765142 = V217448. assign V950352 = V281507. assign V046176 = V135790 - 1. assign V978541 = V810064 + 1. assign V331399 = V401942 + 1. assign V133270 = V625018. assign V942667 = V471662 + 1. assign V835759 = V496454. assign V327586 = V498584 - 1. assign V636160 = V776283 - 1. assign V902817 = V297701 + 1. assign V134301 = V641025. assign V297701 = V290883. assign V420252 = V821499 - 1. assign V182721 = V548470 - 1. assign V164655 = V134301 - 1. assign V286426 = V473787. assign V405741 = V548470 - 1. assign V053838 = V164655 + 1. assign V575846 = V958221 - 1. assign V781558 = V851274. assign V138570 = V548470. assign V740176 = V473787 - 1. assign V780515 = V548667 - 1. assign V208373 = V717018 + 1. assign V776283 = V942667 + 1. assign V209277 = V154490. assign V371130 = V875007. assign V530748 = V135790 - 1. assign V119006 = V717018.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV992659 = 0;\n\nFrom these direct assignment(s), we have: \nV978637 = V992659 + 1 = 0 + 1 =1;\nNo other variables can be derived from V978637;\nNo other variables can be derived from V992659;\n\nNow we have done all the calculations. Derived variables are:\nV992659 = 0;\nV978637 = 1;\n\nNow we have finished this problem. ANSWER:\nV978637\n", "role": "assistant" } ]

[ "V501959", "V117556" ]

[ { "content": "<context>\nassign V509437 = V148079 - 1. assign V184150 = V943094. assign V770063 = V676895. assign V866785 = V388028. assign V574786 = V388028. assign V122918 = V517828 - 1. assign V947809 = V073501 - 1. assign V093948 = V447037. assign V439630 = V484668 + 1. assign V613360 = V568042 - 1. assign V608549 = V991843 - 1. assign V070077 = V297967 - 1. assign V401924 = V849376 - 1. assign V117556 = V501959. assign V991843 = V352556 - 1. assign V578030 = V943094 - 1. assign V032355 = V335189 + 1. assign V484731 = V727578 - 1. assign V644478 = V991039. assign V885742 = V991843. assign V905998 = V236641 - 1. assign V501959 = 6. assign V047965 = V791774 - 1. assign V556474 = V073501 + 1. assign V559728 = V305529. assign V497911 = V676895 + 1. assign V795487 = V139313 + 1. assign V469247 = V201966 - 1. assign V146094 = V905998 - 1. assign V142683 = V240788 - 1. assign V196935 = V549452. assign V731404 = V335189 - 1. assign V055341 = V991039. assign V549452 = V488913 - 1. assign V472706 = V991843 + 1. assign V058378 = V332167 + 1. assign V527804 = V885742 + 1. assign V288847 = V936384 + 1. assign V745597 = V288847 + 1. assign V746625 = V231050 - 1. assign V006323 = V905998 + 1. assign V905144 = V093948. assign V577837 = V719586 + 1. assign V201184 = V488711. assign V689920 = V799262. assign V317811 = V073501. assign V622642 = V289536 + 1. assign V139313 = V472706 - 1. assign V135751 = V770063 + 1. assign V799262 = V472706 + 1. assign V021285 = V676895 - 1. assign V734041 = V231050 + 1. assign V360291 = V388028 + 1. assign V129523 = V938960 + 1. assign V653726 = V676895 + 1. assign V849376 = V388028. assign V769428 = V676895 - 1. assign V355288 = V991039 - 1. assign V255106 = V517828. assign V740399 = V201175 - 1. assign V736034 = V906075 - 1. assign V166207 = V565454 + 1. assign V335189 = V676895 - 1. assign V388028 = V549452. assign V791774 = V237021 - 1. assign V264833 = V519458 + 1. assign V687902 = V388028 - 1. assign V151066 = V305529 + 1. assign V948235 = V527804 + 1. assign V073728 = V549452 - 1. assign V921393 = V687902 - 1. assign V565454 = V549452 + 1. assign V568042 = V488711 + 1. assign V142498 = V399528 - 1. assign V296993 = V414551. assign V538916 = V597823. assign V698577 = V236641 - 1. assign V488711 = V240788 + 1. assign V208924 = V055341. assign V408553 = V401924 - 1. assign V776829 = V689920. assign V159450 = V399528 - 1. assign V180017 = V852630 - 1. assign V236641 = V352556. assign V414551 = V321011 - 1. assign V447037 = V414551. assign V773761 = V231050. assign V056837 = V991039. assign V356701 = V578030. assign V240788 = V073728 - 1. assign V852630 = V593101 - 1. assign V958354 = V253393 + 1. assign V447551 = V488711. assign V305529 = V622642 + 1. assign V578245 = V862642 - 1. assign V936384 = V240788. assign V159337 = V240072 - 1. assign V676895 = V778879 - 1. assign V116739 = V297967 + 1. assign V410523 = V196935 - 1. assign V553990 = V686979 + 1. assign V658114 = V236641. assign V837534 = V140853 - 1. assign V177310 = V179432 + 1. assign V140853 = V676895. assign V258567 = V716883 - 1. assign V488913 = V778879. assign V719586 = V866785 - 1. assign V466389 = V240788. assign V867723 = V466389 - 1. assign V094414 = V778879 - 1. assign V436770 = V541523. assign V884348 = V686979. assign V179432 = V236641 + 1. assign V789702 = V488913 + 1. assign V318214 = V116739. assign V727578 = V231050. assign V900061 = V549452 + 1. assign V943094 = V472706. assign V321011 = V565454 + 1. assign V367175 = V466389. assign V096982 = V240788 - 1. assign V862642 = V321011 + 1. assign V517828 = V549452. assign V237021 = V488913 - 1. assign V505527 = V565454 - 1. assign V294983 = V688676. assign V688676 = V519458. assign V593101 = V439630 - 1. assign V253393 = V769428 - 1. assign V240072 = V360291 + 1. assign V686979 = V240788. assign V399528 = V096982. assign V332167 = V073728 + 1. assign V906075 = V073728 + 1. assign V352556 = V549452. assign V699473 = V559728 + 1. assign V991039 = V317811. assign V201966 = V527804. assign V757505 = V146094 + 1. assign V367898 = V943094. assign V297967 = V727578. assign V597823 = V237021 - 1. assign V474916 = V676895. assign V987131 = V527804 + 1. assign V161073 = V201966 + 1. assign V484668 = V179432 - 1. assign V519458 = V947809 + 1. assign V456351 = V948235 - 1. assign V436570 = V943094 - 1. assign V846259 = V736034. assign V067347 = V686979 - 1. assign V767673 = V289536 - 1. assign V289536 = V905998. assign V231050 = V240788. assign V319405 = V773761 + 1. assign V844559 = V884348 - 1. assign V716883 = V943094. assign V201175 = V148079 - 1. assign V409475 = V151066. assign V434020 = V574786 - 1. assign V974109 = V439630 + 1. assign V073501 = V676895. assign V938960 = V517828 - 1. assign V541523 = V987131. assign V475465 = V736034 + 1. assign V029915 = V332167. assign V623969 = V884348 - 1. assign V167346 = V987131 - 1. assign V148079 = V032355 + 1. assign V045581 = V305529 - 1. assign V931161 = V297967 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V509437 = V148079 - 1. assign V184150 = V943094. assign V770063 = V676895. assign V866785 = V388028. assign V574786 = V388028. assign V122918 = V517828 - 1. assign V947809 = V073501 - 1. assign V093948 = V447037. assign V439630 = V484668 + 1. assign V613360 = V568042 - 1. assign V608549 = V991843 - 1. assign V070077 = V297967 - 1. assign V401924 = V849376 - 1. assign V117556 = V501959. assign V991843 = V352556 - 1. assign V578030 = V943094 - 1. assign V032355 = V335189 + 1. assign V484731 = V727578 - 1. assign V644478 = V991039. assign V885742 = V991843. assign V905998 = V236641 - 1. assign V501959 = 6. assign V047965 = V791774 - 1. assign V556474 = V073501 + 1. assign V559728 = V305529. assign V497911 = V676895 + 1. assign V795487 = V139313 + 1. assign V469247 = V201966 - 1. assign V146094 = V905998 - 1. assign V142683 = V240788 - 1. assign V196935 = V549452. assign V731404 = V335189 - 1. assign V055341 = V991039. assign V549452 = V488913 - 1. assign V472706 = V991843 + 1. assign V058378 = V332167 + 1. assign V527804 = V885742 + 1. assign V288847 = V936384 + 1. assign V745597 = V288847 + 1. assign V746625 = V231050 - 1. assign V006323 = V905998 + 1. assign V905144 = V093948. assign V577837 = V719586 + 1. assign V201184 = V488711. assign V689920 = V799262. assign V317811 = V073501. assign V622642 = V289536 + 1. assign V139313 = V472706 - 1. assign V135751 = V770063 + 1. assign V799262 = V472706 + 1. assign V021285 = V676895 - 1. assign V734041 = V231050 + 1. assign V360291 = V388028 + 1. assign V129523 = V938960 + 1. assign V653726 = V676895 + 1. assign V849376 = V388028. assign V769428 = V676895 - 1. assign V355288 = V991039 - 1. assign V255106 = V517828. assign V740399 = V201175 - 1. assign V736034 = V906075 - 1. assign V166207 = V565454 + 1. assign V335189 = V676895 - 1. assign V388028 = V549452. assign V791774 = V237021 - 1. assign V264833 = V519458 + 1. assign V687902 = V388028 - 1. assign V151066 = V305529 + 1. assign V948235 = V527804 + 1. assign V073728 = V549452 - 1. assign V921393 = V687902 - 1. assign V565454 = V549452 + 1. assign V568042 = V488711 + 1. assign V142498 = V399528 - 1. assign V296993 = V414551. assign V538916 = V597823. assign V698577 = V236641 - 1. assign V488711 = V240788 + 1. assign V208924 = V055341. assign V408553 = V401924 - 1. assign V776829 = V689920. assign V159450 = V399528 - 1. assign V180017 = V852630 - 1. assign V236641 = V352556. assign V414551 = V321011 - 1. assign V447037 = V414551. assign V773761 = V231050. assign V056837 = V991039. assign V356701 = V578030. assign V240788 = V073728 - 1. assign V852630 = V593101 - 1. assign V958354 = V253393 + 1. assign V447551 = V488711. assign V305529 = V622642 + 1. assign V578245 = V862642 - 1. assign V936384 = V240788. assign V159337 = V240072 - 1. assign V676895 = V778879 - 1. assign V116739 = V297967 + 1. assign V410523 = V196935 - 1. assign V553990 = V686979 + 1. assign V658114 = V236641. assign V837534 = V140853 - 1. assign V177310 = V179432 + 1. assign V140853 = V676895. assign V258567 = V716883 - 1. assign V488913 = V778879. assign V719586 = V866785 - 1. assign V466389 = V240788. assign V867723 = V466389 - 1. assign V094414 = V778879 - 1. assign V436770 = V541523. assign V884348 = V686979. assign V179432 = V236641 + 1. assign V789702 = V488913 + 1. assign V318214 = V116739. assign V727578 = V231050. assign V900061 = V549452 + 1. assign V943094 = V472706. assign V321011 = V565454 + 1. assign V367175 = V466389. assign V096982 = V240788 - 1. assign V862642 = V321011 + 1. assign V517828 = V549452. assign V237021 = V488913 - 1. assign V505527 = V565454 - 1. assign V294983 = V688676. assign V688676 = V519458. assign V593101 = V439630 - 1. assign V253393 = V769428 - 1. assign V240072 = V360291 + 1. assign V686979 = V240788. assign V399528 = V096982. assign V332167 = V073728 + 1. assign V906075 = V073728 + 1. assign V352556 = V549452. assign V699473 = V559728 + 1. assign V991039 = V317811. assign V201966 = V527804. assign V757505 = V146094 + 1. assign V367898 = V943094. assign V297967 = V727578. assign V597823 = V237021 - 1. assign V474916 = V676895. assign V987131 = V527804 + 1. assign V161073 = V201966 + 1. assign V484668 = V179432 - 1. assign V519458 = V947809 + 1. assign V456351 = V948235 - 1. assign V436570 = V943094 - 1. assign V846259 = V736034. assign V067347 = V686979 - 1. assign V767673 = V289536 - 1. assign V289536 = V905998. assign V231050 = V240788. assign V319405 = V773761 + 1. assign V844559 = V884348 - 1. assign V716883 = V943094. assign V201175 = V148079 - 1. assign V409475 = V151066. assign V434020 = V574786 - 1. assign V974109 = V439630 + 1. assign V073501 = V676895. assign V938960 = V517828 - 1. assign V541523 = V987131. assign V475465 = V736034 + 1. assign V029915 = V332167. assign V623969 = V884348 - 1. assign V167346 = V987131 - 1. assign V148079 = V032355 + 1. assign V045581 = V305529 - 1. assign V931161 = V297967 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV501959 = 6;\n\nFrom these direct assignment(s), we have: \nV117556 = V501959 = 6;\nNo other variables can be derived from V117556;\nNo other variables can be derived from V501959;\n\nNow we have done all the calculations. Derived variables are:\nV501959 = 6;\nV117556 = 6;\n\nNow we have finished this problem. ANSWER:\nV501959, V117556\n", "role": "assistant" } ]

[ "V435915", "V003232" ]

[ { "content": "<context>\nassign V221195 = V103603. assign V528775 = V031448 - 1. assign V975815 = V587409 - 1. assign V085118 = V471683. assign V720044 = V791679. assign V092649 = V103603. assign V568417 = V365183 - 1. assign V250917 = V648149 - 1. assign V731208 = V596660 + 1. assign V040187 = V337039. assign V945194 = V103603 - 1. assign V933480 = V964985 - 1. assign V185448 = V983477 + 1. assign V202002 = V836104. assign V072858 = V346717 - 1. assign V100260 = V836104 + 1. assign V422183 = V330832 - 1. assign V799596 = V173162 - 1. assign V264319 = V471683. assign V680411 = V791679 - 1. assign V548340 = V142071 + 1. assign V219289 = V648149. assign V749311 = V824653 + 1. assign V067070 = V248217 + 1. assign V799716 = V453684 - 1. assign V565323 = V573129 - 1. assign V453684 = V824653 + 1. assign V822683 = V501953 + 1. assign V578359 = V085822. assign V764793 = V287894 - 1. assign V157169 = V854326 + 1. assign V809650 = V538967 - 1. assign V378031 = V126032 + 1. assign V139808 = V250917. assign V538967 = V221195 + 1. assign V039860 = V802022 - 1. assign V273519 = V173162 - 1. assign V762273 = V964985 + 1. assign V706337 = V039860 + 1. assign V711869 = V587326. assign V604851 = V191262 - 1. assign V791679 = V836104 + 1. assign V091640 = V468754. assign V347007 = V698231 - 1. assign V900165 = V854326 + 1. assign V824653 = V157169 - 1. assign V575037 = V346717 - 1. assign V755942 = V069160. assign V907788 = V824653. assign V612566 = V453684 + 1. assign V348929 = V083747 - 1. assign V061412 = V239818 + 1. assign V885219 = V547232 + 1. assign V509645 = V367354 + 1. assign V609362 = V031448 + 1. assign V040674 = V100260. assign V720511 = V384019 - 1. assign V069171 = V157169 - 1. assign V936981 = V346717 + 1. assign V248217 = V415862. assign V836104 = V346717 - 1. assign V595174 = V468754 + 1. assign V467726 = V755942. assign V239818 = V069171. assign V948723 = V337039. assign V404294 = V330832 - 1. assign V043131 = V737741. assign V775218 = V575591 - 1. assign V379322 = V072858 - 1. assign V337039 = V501953 - 1. assign V521873 = V083747 + 1. assign V104015 = V346717 + 1. assign V003232 = V435915. assign V073109 = V573129 + 1. assign V749318 = V538967. assign V530660 = V587409. assign V648149 = V501953 + 1. assign V136407 = V854326 - 1. assign V142071 = V337838 - 1. assign V616577 = V964985 - 1. assign V285454 = V616577 + 1. assign V596660 = V039860. assign V904925 = V330832 - 1. assign V415862 = V346717. assign V290124 = V415862. assign V253209 = V824653. assign V825692 = V791679 + 1. assign V804726 = V896315. assign V896315 = V836104 - 1. assign V875793 = V252482. assign V209188 = V538967. assign V735521 = V720044 + 1. assign V103603 = V202002. assign V573129 = V900165. assign V868417 = V273519 + 1. assign V203668 = V975815 + 1. assign V964816 = V509645 - 1. assign V689250 = V521654. assign V547232 = V824590. assign V175689 = V346717. assign V468754 = V069160 + 1. assign V182671 = V595174 + 1. assign V587326 = V896315. assign V365183 = V824590 + 1. assign V471683 = V091640 + 1. assign V926372 = V596660. assign V789191 = V749311. assign V916405 = V398982 + 1. assign V212639 = V799596 - 1. assign V252482 = V799596 + 1. assign V144857 = V824590. assign V554723 = V983477 - 1. assign V126852 = V092649 + 1. assign V198298 = V948723. assign V241902 = V273519 + 1. assign V083747 = V649243. assign V600697 = V379322. assign V631114 = V422183 + 1. assign V346717 = V900165 - 1. assign V824590 = V031448. assign V117981 = V091640 - 1. assign V126032 = V824653 + 1. assign V337838 = V072858 + 1. assign V737741 = V398982 + 1. assign V527590 = V239818 + 1. assign V267881 = V072858. assign V191262 = V749311 + 1. assign V132856 = V330832 - 1. assign V069160 = V521654 - 1. assign V316848 = V501953. assign V587409 = V595041 + 1. assign V575591 = V578359 + 1. assign V595041 = V501953 - 1. assign V628449 = V287894 + 1. assign V372636 = V039860. assign V938759 = V578359 + 1. assign V698231 = V427396 - 1. assign V623868 = V824590. assign V427396 = V398982 + 1. assign V696816 = V415862. assign V322665 = V290124 - 1. assign V214646 = V575591 - 1. assign V512977 = V648149 + 1. assign V802022 = V398982 - 1. assign V649243 = V824590 + 1. assign V535845 = V948723 - 1. assign V468390 = V092649. assign V031448 = V854326 + 1. assign V738924 = V521654 - 1. assign V897733 = V575037. assign V263120 = V126852 - 1. assign V032441 = V868417 - 1. assign V970537 = V316848. assign V521654 = V337039. assign V287894 = V337039 + 1. assign V085822 = V900165. assign V367354 = V983477 + 1. assign V435915 = 0. assign V854326 = V501953. assign V947485 = V575037 + 1. assign V173162 = V085822 + 1. assign V983477 = V072858 + 1. assign V398982 = V595041. assign V020720 = V600697 - 1. assign V330832 = V824590 + 1. assign V630251 = V720044. assign V395184 = V538967 + 1. assign V830042 = V104015 + 1. assign V384019 = V854326 - 1. assign V491748 = V595174 - 1. assign V964985 = V521654. assign V558726 = V072858 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V221195 = V103603. assign V528775 = V031448 - 1. assign V975815 = V587409 - 1. assign V085118 = V471683. assign V720044 = V791679. assign V092649 = V103603. assign V568417 = V365183 - 1. assign V250917 = V648149 - 1. assign V731208 = V596660 + 1. assign V040187 = V337039. assign V945194 = V103603 - 1. assign V933480 = V964985 - 1. assign V185448 = V983477 + 1. assign V202002 = V836104. assign V072858 = V346717 - 1. assign V100260 = V836104 + 1. assign V422183 = V330832 - 1. assign V799596 = V173162 - 1. assign V264319 = V471683. assign V680411 = V791679 - 1. assign V548340 = V142071 + 1. assign V219289 = V648149. assign V749311 = V824653 + 1. assign V067070 = V248217 + 1. assign V799716 = V453684 - 1. assign V565323 = V573129 - 1. assign V453684 = V824653 + 1. assign V822683 = V501953 + 1. assign V578359 = V085822. assign V764793 = V287894 - 1. assign V157169 = V854326 + 1. assign V809650 = V538967 - 1. assign V378031 = V126032 + 1. assign V139808 = V250917. assign V538967 = V221195 + 1. assign V039860 = V802022 - 1. assign V273519 = V173162 - 1. assign V762273 = V964985 + 1. assign V706337 = V039860 + 1. assign V711869 = V587326. assign V604851 = V191262 - 1. assign V791679 = V836104 + 1. assign V091640 = V468754. assign V347007 = V698231 - 1. assign V900165 = V854326 + 1. assign V824653 = V157169 - 1. assign V575037 = V346717 - 1. assign V755942 = V069160. assign V907788 = V824653. assign V612566 = V453684 + 1. assign V348929 = V083747 - 1. assign V061412 = V239818 + 1. assign V885219 = V547232 + 1. assign V509645 = V367354 + 1. assign V609362 = V031448 + 1. assign V040674 = V100260. assign V720511 = V384019 - 1. assign V069171 = V157169 - 1. assign V936981 = V346717 + 1. assign V248217 = V415862. assign V836104 = V346717 - 1. assign V595174 = V468754 + 1. assign V467726 = V755942. assign V239818 = V069171. assign V948723 = V337039. assign V404294 = V330832 - 1. assign V043131 = V737741. assign V775218 = V575591 - 1. assign V379322 = V072858 - 1. assign V337039 = V501953 - 1. assign V521873 = V083747 + 1. assign V104015 = V346717 + 1. assign V003232 = V435915. assign V073109 = V573129 + 1. assign V749318 = V538967. assign V530660 = V587409. assign V648149 = V501953 + 1. assign V136407 = V854326 - 1. assign V142071 = V337838 - 1. assign V616577 = V964985 - 1. assign V285454 = V616577 + 1. assign V596660 = V039860. assign V904925 = V330832 - 1. assign V415862 = V346717. assign V290124 = V415862. assign V253209 = V824653. assign V825692 = V791679 + 1. assign V804726 = V896315. assign V896315 = V836104 - 1. assign V875793 = V252482. assign V209188 = V538967. assign V735521 = V720044 + 1. assign V103603 = V202002. assign V573129 = V900165. assign V868417 = V273519 + 1. assign V203668 = V975815 + 1. assign V964816 = V509645 - 1. assign V689250 = V521654. assign V547232 = V824590. assign V175689 = V346717. assign V468754 = V069160 + 1. assign V182671 = V595174 + 1. assign V587326 = V896315. assign V365183 = V824590 + 1. assign V471683 = V091640 + 1. assign V926372 = V596660. assign V789191 = V749311. assign V916405 = V398982 + 1. assign V212639 = V799596 - 1. assign V252482 = V799596 + 1. assign V144857 = V824590. assign V554723 = V983477 - 1. assign V126852 = V092649 + 1. assign V198298 = V948723. assign V241902 = V273519 + 1. assign V083747 = V649243. assign V600697 = V379322. assign V631114 = V422183 + 1. assign V346717 = V900165 - 1. assign V824590 = V031448. assign V117981 = V091640 - 1. assign V126032 = V824653 + 1. assign V337838 = V072858 + 1. assign V737741 = V398982 + 1. assign V527590 = V239818 + 1. assign V267881 = V072858. assign V191262 = V749311 + 1. assign V132856 = V330832 - 1. assign V069160 = V521654 - 1. assign V316848 = V501953. assign V587409 = V595041 + 1. assign V575591 = V578359 + 1. assign V595041 = V501953 - 1. assign V628449 = V287894 + 1. assign V372636 = V039860. assign V938759 = V578359 + 1. assign V698231 = V427396 - 1. assign V623868 = V824590. assign V427396 = V398982 + 1. assign V696816 = V415862. assign V322665 = V290124 - 1. assign V214646 = V575591 - 1. assign V512977 = V648149 + 1. assign V802022 = V398982 - 1. assign V649243 = V824590 + 1. assign V535845 = V948723 - 1. assign V468390 = V092649. assign V031448 = V854326 + 1. assign V738924 = V521654 - 1. assign V897733 = V575037. assign V263120 = V126852 - 1. assign V032441 = V868417 - 1. assign V970537 = V316848. assign V521654 = V337039. assign V287894 = V337039 + 1. assign V085822 = V900165. assign V367354 = V983477 + 1. assign V435915 = 0. assign V854326 = V501953. assign V947485 = V575037 + 1. assign V173162 = V085822 + 1. assign V983477 = V072858 + 1. assign V398982 = V595041. assign V020720 = V600697 - 1. assign V330832 = V824590 + 1. assign V630251 = V720044. assign V395184 = V538967 + 1. assign V830042 = V104015 + 1. assign V384019 = V854326 - 1. assign V491748 = V595174 - 1. assign V964985 = V521654. assign V558726 = V072858 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV435915 = 0;\n\nFrom these direct assignment(s), we have: \nV003232 = V435915 = 0;\nNo other variables can be derived from V003232;\nNo other variables can be derived from V435915;\n\nNow we have done all the calculations. Derived variables are:\nV435915 = 0;\nV003232 = 0;\n\nNow we have finished this problem. ANSWER:\nV435915, V003232\n", "role": "assistant" } ]

[ "V625077" ]

[ { "content": "<context>\nassign V736392 = V005031 - 1. assign V242538 = V225232. assign V387235 = V967641 + 1. assign V941963 = V870558 - 1. assign V094195 = V176251 + 1. assign V216540 = V252249 + 1. assign V036679 = V252249. assign V424039 = V783508 - 1. assign V816454 = V618535 + 1. assign V182530 = V850794 + 1. assign V783508 = V619776 + 1. assign V485409 = V565306. assign V722608 = V991379 - 1. assign V683385 = V276598. assign V334939 = V027187 - 1. assign V122436 = V565306 - 1. assign V476242 = V182530. assign V185515 = V035087 - 1. assign V991379 = V705236. assign V143666 = V808299 - 1. assign V450545 = V416078 - 1. assign V516592 = V169842. assign V259975 = V967267. assign V362559 = V705236 - 1. assign V023263 = V283013 - 1. assign V394932 = V939613. assign V140010 = V345807 - 1. assign V430769 = V060124 + 1. assign V497701 = V455582. assign V449102 = V383646 + 1. assign V993607 = V597347 - 1. assign V808299 = V302056. assign V902123 = V169842 - 1. assign V565306 = V120127 + 1. assign V696785 = V302056 + 1. assign V732402 = V991379. assign V516853 = V284218 - 1. assign V724377 = V216540. assign V870558 = V967641 + 1. assign V128288 = V791492. assign V744632 = V683385. assign V467432 = V991379 + 1. assign V893970 = V758711 - 1. assign V333899 = V582724. assign V346729 = V005031 + 1. assign V284218 = V094195. assign V399742 = V625077 + 1. assign V874812 = V172369 - 1. assign V649573 = V169842. assign V495742 = V477973. assign V073766 = V036679. assign V067510 = V870558. assign V162536 = V077692. assign V155210 = V597347 + 1. assign V474173 = V597347 - 1. assign V486877 = V902123 + 1. assign V508143 = V383646. assign V372612 = V922793 + 1. assign V939613 = V841683 - 1. assign V838189 = V169842. assign V027187 = V176251 + 1. assign V361935 = V387235 + 1. assign V124071 = V036679 - 1. assign V262586 = V597347. assign V060124 = V302056 + 1. assign V426067 = V838189. assign V224999 = V061194 + 1. assign V031670 = V724377. assign V876090 = V744632 + 1. assign V052680 = V177402 + 1. assign V013617 = V333899 - 1. assign V557926 = V474173 - 1. assign V563426 = V036679 + 1. assign V787811 = V455582 - 1. assign V592404 = V193926 - 1. assign V302056 = V225232 + 1. assign V579215 = V276598 - 1. assign V496286 = V649573 - 1. assign V957191 = V922793 + 1. assign V618535 = V189437 + 1. assign V448476 = V683385. assign V967147 = V744632. assign V193926 = V476242 - 1. assign V043582 = V619776 - 1. assign V697481 = V496286 + 1. assign V283013 = V426067 - 1. assign V519443 = V046619. assign V705236 = V216540 - 1. assign V495511 = V430769 - 1. assign V967641 = V177402. assign V345807 = V967267 - 1. assign V453223 = V027187. assign V274186 = V913833 - 1. assign V189437 = V850794. assign V035592 = V453223. assign V875508 = V252249 - 1. assign V922793 = V252249. assign V612182 = V252249 + 1. assign V896958 = V850794 + 1. assign V288494 = V758711 - 1. assign V918554 = V120127 + 1. assign V199452 = V722608 - 1. assign V294329 = V778227 - 1. assign V870294 = V618535 - 1. assign V778227 = V225232 - 1. assign V939759 = V791492 + 1. assign V195025 = V455582. assign V625077 = 2. assign V229124 = V453223. assign V374632 = V128288. assign V690398 = V035087. assign V477973 = V394932 - 1. assign V564067 = V225232 - 1. assign V416078 = V787811 + 1. assign V597347 = V302056. assign V548206 = V302056. assign V172369 = V744632 + 1. assign V189341 = V185515 + 1. assign V252249 = V276598 - 1. assign V276598 = V077692. assign V177402 = V162834. assign V967267 = V474173 - 1. assign V588838 = V870558 - 1. assign V455582 = V683385 - 1. assign V039178 = V035087 + 1. assign V734116 = V439738 - 1. assign V587033 = V618535 - 1. assign V430304 = V334939 + 1. assign V138884 = V744632 - 1. assign V439738 = V630053 + 1. assign V578264 = V467432. assign V499906 = V918554. assign V758711 = V476242. assign V005031 = V696785. assign V496172 = V557926. assign V132041 = V120127 + 1. assign V293117 = V120127. assign V913833 = V077692 - 1. assign V791492 = V334939. assign V249243 = V958636 + 1. assign V630053 = V967267 + 1. assign V845838 = V140010. assign V409649 = V548206 + 1. assign V882713 = V578264 - 1. assign V056453 = V216540 - 1. assign V582724 = V649573 - 1. assign V461501 = V618535. assign V061194 = V870558 - 1. assign V162834 = V216540. assign V842757 = V705236. assign V530926 = V249243 - 1. assign V603192 = V224999. assign V933216 = V922793 - 1. assign V958636 = V732402 + 1. assign V225232 = V120127. assign V035087 = V169842. assign V169842 = V455582. assign V714368 = V619776. assign V619776 = V216540 + 1. assign V056999 = V603192. assign V954145 = V035087 - 1. assign V046619 = V450545 - 1. assign V176251 = V077692 - 1. assign V120127 = V216540 + 1. assign V383646 = V225232. assign V821460 = V474173. assign V117148 = V060124 + 1. assign V371280 = V563426 - 1. assign V674466 = V816454. assign V755749 = V155210 + 1. assign V850794 = V252249 - 1. assign V841683 = V302056.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V736392 = V005031 - 1. assign V242538 = V225232. assign V387235 = V967641 + 1. assign V941963 = V870558 - 1. assign V094195 = V176251 + 1. assign V216540 = V252249 + 1. assign V036679 = V252249. assign V424039 = V783508 - 1. assign V816454 = V618535 + 1. assign V182530 = V850794 + 1. assign V783508 = V619776 + 1. assign V485409 = V565306. assign V722608 = V991379 - 1. assign V683385 = V276598. assign V334939 = V027187 - 1. assign V122436 = V565306 - 1. assign V476242 = V182530. assign V185515 = V035087 - 1. assign V991379 = V705236. assign V143666 = V808299 - 1. assign V450545 = V416078 - 1. assign V516592 = V169842. assign V259975 = V967267. assign V362559 = V705236 - 1. assign V023263 = V283013 - 1. assign V394932 = V939613. assign V140010 = V345807 - 1. assign V430769 = V060124 + 1. assign V497701 = V455582. assign V449102 = V383646 + 1. assign V993607 = V597347 - 1. assign V808299 = V302056. assign V902123 = V169842 - 1. assign V565306 = V120127 + 1. assign V696785 = V302056 + 1. assign V732402 = V991379. assign V516853 = V284218 - 1. assign V724377 = V216540. assign V870558 = V967641 + 1. assign V128288 = V791492. assign V744632 = V683385. assign V467432 = V991379 + 1. assign V893970 = V758711 - 1. assign V333899 = V582724. assign V346729 = V005031 + 1. assign V284218 = V094195. assign V399742 = V625077 + 1. assign V874812 = V172369 - 1. assign V649573 = V169842. assign V495742 = V477973. assign V073766 = V036679. assign V067510 = V870558. assign V162536 = V077692. assign V155210 = V597347 + 1. assign V474173 = V597347 - 1. assign V486877 = V902123 + 1. assign V508143 = V383646. assign V372612 = V922793 + 1. assign V939613 = V841683 - 1. assign V838189 = V169842. assign V027187 = V176251 + 1. assign V361935 = V387235 + 1. assign V124071 = V036679 - 1. assign V262586 = V597347. assign V060124 = V302056 + 1. assign V426067 = V838189. assign V224999 = V061194 + 1. assign V031670 = V724377. assign V876090 = V744632 + 1. assign V052680 = V177402 + 1. assign V013617 = V333899 - 1. assign V557926 = V474173 - 1. assign V563426 = V036679 + 1. assign V787811 = V455582 - 1. assign V592404 = V193926 - 1. assign V302056 = V225232 + 1. assign V579215 = V276598 - 1. assign V496286 = V649573 - 1. assign V957191 = V922793 + 1. assign V618535 = V189437 + 1. assign V448476 = V683385. assign V967147 = V744632. assign V193926 = V476242 - 1. assign V043582 = V619776 - 1. assign V697481 = V496286 + 1. assign V283013 = V426067 - 1. assign V519443 = V046619. assign V705236 = V216540 - 1. assign V495511 = V430769 - 1. assign V967641 = V177402. assign V345807 = V967267 - 1. assign V453223 = V027187. assign V274186 = V913833 - 1. assign V189437 = V850794. assign V035592 = V453223. assign V875508 = V252249 - 1. assign V922793 = V252249. assign V612182 = V252249 + 1. assign V896958 = V850794 + 1. assign V288494 = V758711 - 1. assign V918554 = V120127 + 1. assign V199452 = V722608 - 1. assign V294329 = V778227 - 1. assign V870294 = V618535 - 1. assign V778227 = V225232 - 1. assign V939759 = V791492 + 1. assign V195025 = V455582. assign V625077 = 2. assign V229124 = V453223. assign V374632 = V128288. assign V690398 = V035087. assign V477973 = V394932 - 1. assign V564067 = V225232 - 1. assign V416078 = V787811 + 1. assign V597347 = V302056. assign V548206 = V302056. assign V172369 = V744632 + 1. assign V189341 = V185515 + 1. assign V252249 = V276598 - 1. assign V276598 = V077692. assign V177402 = V162834. assign V967267 = V474173 - 1. assign V588838 = V870558 - 1. assign V455582 = V683385 - 1. assign V039178 = V035087 + 1. assign V734116 = V439738 - 1. assign V587033 = V618535 - 1. assign V430304 = V334939 + 1. assign V138884 = V744632 - 1. assign V439738 = V630053 + 1. assign V578264 = V467432. assign V499906 = V918554. assign V758711 = V476242. assign V005031 = V696785. assign V496172 = V557926. assign V132041 = V120127 + 1. assign V293117 = V120127. assign V913833 = V077692 - 1. assign V791492 = V334939. assign V249243 = V958636 + 1. assign V630053 = V967267 + 1. assign V845838 = V140010. assign V409649 = V548206 + 1. assign V882713 = V578264 - 1. assign V056453 = V216540 - 1. assign V582724 = V649573 - 1. assign V461501 = V618535. assign V061194 = V870558 - 1. assign V162834 = V216540. assign V842757 = V705236. assign V530926 = V249243 - 1. assign V603192 = V224999. assign V933216 = V922793 - 1. assign V958636 = V732402 + 1. assign V225232 = V120127. assign V035087 = V169842. assign V169842 = V455582. assign V714368 = V619776. assign V619776 = V216540 + 1. assign V056999 = V603192. assign V954145 = V035087 - 1. assign V046619 = V450545 - 1. assign V176251 = V077692 - 1. assign V120127 = V216540 + 1. assign V383646 = V225232. assign V821460 = V474173. assign V117148 = V060124 + 1. assign V371280 = V563426 - 1. assign V674466 = V816454. assign V755749 = V155210 + 1. assign V850794 = V252249 - 1. assign V841683 = V302056.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV625077 = 2;\n\nFrom these direct assignment(s), we have: \nV399742 = V625077 + 1 = 2 + 1 =3;\nNo other variables can be derived from V399742;\nNo other variables can be derived from V625077;\n\nNow we have done all the calculations. Derived variables are:\nV625077 = 2;\nV399742 = 3;\n\nNow we have finished this problem. ANSWER:\nV625077\n", "role": "assistant" } ]

[ "V539794", "V776091" ]

[ { "content": "<context>\nassign V366285 = V189852. assign V209213 = V804933 - 1. assign V548680 = V526357 + 1. assign V073214 = V420816 - 1. assign V258215 = V423548 - 1. assign V576406 = V648457 + 1. assign V294654 = V258215 + 1. assign V111873 = V225384 - 1. assign V603413 = V902026 + 1. assign V578049 = V603413. assign V732513 = V238283. assign V452871 = V781335 - 1. assign V672204 = V136150 - 1. assign V224258 = V578049. assign V634822 = V434484 - 1. assign V718141 = V692249 - 1. assign V246495 = V294654 - 1. assign V917941 = V419831. assign V804933 = V118435. assign V441606 = V881137 + 1. assign V767337 = V603413 - 1. assign V379343 = V143039 + 1. assign V028141 = V994505 - 1. assign V861788 = V249339. assign V151598 = V301542. assign V697338 = V835729 + 1. assign V118435 = V692249 + 1. assign V423548 = V902026. assign V172839 = V057278 - 1. assign V394863 = V861788 - 1. assign V881137 = V276875. assign V907791 = V678934 + 1. assign V655168 = V997840 - 1. assign V129420 = V670663. assign V520341 = V460168 - 1. assign V023605 = V591531 + 1. assign V497862 = V379343 - 1. assign V551180 = V743629 - 1. assign V835729 = V994505. assign V249339 = V160507 + 1. assign V208740 = V049095 - 1. assign V320941 = V388335. assign V695386 = V793254. assign V994505 = V907791 - 1. assign V111802 = V670663 + 1. assign V996223 = V588603 - 1. assign V098578 = V847986 + 1. assign V140472 = V907791 + 1. assign V303487 = V508543. assign V536676 = V423548 + 1. assign V570724 = V048070 - 1. assign V605023 = V303487 + 1. assign V544284 = V726761 - 1. assign V576830 = V129420 + 1. assign V436963 = V238283 + 1. assign V997840 = V049095 - 1. assign V672604 = V639912 - 1. assign V847986 = V225384 + 1. assign V324362 = V840940 - 1. assign V315594 = V460168 - 1. assign V526357 = V489010. assign V157191 = V442552. assign V075100 = V902026. assign V460168 = V718141. assign V057943 = V520341 + 1. assign V588603 = V907791 + 1. assign V395152 = V118435 - 1. assign V035337 = V793254. assign V091975 = V136150 + 1. assign V812519 = V140472 + 1. assign V388335 = V678934 + 1. assign V830187 = V672204 - 1. assign V727126 = V054839. assign V793016 = V388335. assign V294374 = V821425. assign V023648 = V508543. assign V865923 = V209213 + 1. assign V840940 = V108352 + 1. assign V041606 = V825987. assign V189852 = V652754. assign V225587 = V111873 - 1. assign V115994 = V855761 - 1. assign V779034 = V388335 - 1. assign V591531 = V994505 - 1. assign V238283 = V434484 + 1. assign V652686 = V979497 - 1. assign V926938 = V927895. assign V486567 = V118435 + 1. assign V855761 = V379343 + 1. assign V825987 = V483056 - 1. assign V030190 = V057278 + 1. assign V652754 = V570297. assign V684711 = V881137 - 1. assign V395635 = V812519. assign V511031 = V111873. assign V160507 = V743629 + 1. assign V301542 = V257825. assign V343135 = V670663 - 1. assign V420816 = V434484 - 1. assign V143039 = V996223 + 1. assign V707660 = V035337 - 1. assign V544111 = V459618 - 1. assign V743629 = V257825 + 1. assign V793254 = V994505 - 1. assign V961621 = V996223. assign V295845 = V098578 - 1. assign V459618 = V257825 + 1. assign V313103 = V075100 - 1. assign V339654 = V692249 - 1. assign V966072 = V551180 - 1. assign V562665 = V652754. assign V049095 = V767337. assign V902026 = V678934 + 1. assign V342354 = V767337 - 1. assign V503362 = V143039 - 1. assign V251445 = V904232 - 1. assign V269012 = V840940 - 1. assign V508543 = V629910. assign V670663 = V743629. assign V276875 = V570297 + 1. assign V640359 = V209213 + 1. assign V335189 = V881137. assign V256890 = V964132. assign V335856 = V483029. assign V570297 = V767337 - 1. assign V964132 = V907791. assign V011081 = V118435. assign V057278 = V420816 + 1. assign V625422 = V692249 - 1. assign V778968 = V672204 - 1. assign V132077 = V228059. assign V483029 = V904232 - 1. assign V179279 = V781335 - 1. assign V574909 = V526357 + 1. assign V658174 = V548680 + 1. assign V722855 = V366285 - 1. assign V284741 = V256890 - 1. assign V676846 = V028141 + 1. assign V267401 = V049095 + 1. assign V979497 = V904232 - 1. assign V434484 = V108352 - 1. assign V629910 = V257825. assign V604648 = V452871 - 1. assign V093719 = V678934. assign V781335 = V536676. assign V639912 = V964132. assign V136150 = V997840 - 1. assign V054839 = V057278 + 1. assign V648457 = V441606 + 1. assign V442552 = V979497. assign V904232 = V140472 - 1. assign V776091 = V539794. assign V225384 = V994505 + 1. assign V257825 = V767337 + 1. assign V501530 = V258215 - 1. assign V419831 = V578049 - 1. assign V927895 = V907791 + 1. assign V483056 = V927895 - 1. assign V228059 = V511031. assign V692249 = V603413 + 1. assign V489010 = V743629 - 1. assign V108352 = V904232. assign V535136 = V678934 - 1. assign V821425 = V861788 - 1. assign V451172 = V140472 + 1. assign V392885 = V881137 + 1. assign V539794 = 1. assign V048070 = V588603 - 1. assign V726761 = V257825 + 1. assign V336634 = V276875 - 1. assign V336252 = V379343. assign V705165 = V108352.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V366285 = V189852. assign V209213 = V804933 - 1. assign V548680 = V526357 + 1. assign V073214 = V420816 - 1. assign V258215 = V423548 - 1. assign V576406 = V648457 + 1. assign V294654 = V258215 + 1. assign V111873 = V225384 - 1. assign V603413 = V902026 + 1. assign V578049 = V603413. assign V732513 = V238283. assign V452871 = V781335 - 1. assign V672204 = V136150 - 1. assign V224258 = V578049. assign V634822 = V434484 - 1. assign V718141 = V692249 - 1. assign V246495 = V294654 - 1. assign V917941 = V419831. assign V804933 = V118435. assign V441606 = V881137 + 1. assign V767337 = V603413 - 1. assign V379343 = V143039 + 1. assign V028141 = V994505 - 1. assign V861788 = V249339. assign V151598 = V301542. assign V697338 = V835729 + 1. assign V118435 = V692249 + 1. assign V423548 = V902026. assign V172839 = V057278 - 1. assign V394863 = V861788 - 1. assign V881137 = V276875. assign V907791 = V678934 + 1. assign V655168 = V997840 - 1. assign V129420 = V670663. assign V520341 = V460168 - 1. assign V023605 = V591531 + 1. assign V497862 = V379343 - 1. assign V551180 = V743629 - 1. assign V835729 = V994505. assign V249339 = V160507 + 1. assign V208740 = V049095 - 1. assign V320941 = V388335. assign V695386 = V793254. assign V994505 = V907791 - 1. assign V111802 = V670663 + 1. assign V996223 = V588603 - 1. assign V098578 = V847986 + 1. assign V140472 = V907791 + 1. assign V303487 = V508543. assign V536676 = V423548 + 1. assign V570724 = V048070 - 1. assign V605023 = V303487 + 1. assign V544284 = V726761 - 1. assign V576830 = V129420 + 1. assign V436963 = V238283 + 1. assign V997840 = V049095 - 1. assign V672604 = V639912 - 1. assign V847986 = V225384 + 1. assign V324362 = V840940 - 1. assign V315594 = V460168 - 1. assign V526357 = V489010. assign V157191 = V442552. assign V075100 = V902026. assign V460168 = V718141. assign V057943 = V520341 + 1. assign V588603 = V907791 + 1. assign V395152 = V118435 - 1. assign V035337 = V793254. assign V091975 = V136150 + 1. assign V812519 = V140472 + 1. assign V388335 = V678934 + 1. assign V830187 = V672204 - 1. assign V727126 = V054839. assign V793016 = V388335. assign V294374 = V821425. assign V023648 = V508543. assign V865923 = V209213 + 1. assign V840940 = V108352 + 1. assign V041606 = V825987. assign V189852 = V652754. assign V225587 = V111873 - 1. assign V115994 = V855761 - 1. assign V779034 = V388335 - 1. assign V591531 = V994505 - 1. assign V238283 = V434484 + 1. assign V652686 = V979497 - 1. assign V926938 = V927895. assign V486567 = V118435 + 1. assign V855761 = V379343 + 1. assign V825987 = V483056 - 1. assign V030190 = V057278 + 1. assign V652754 = V570297. assign V684711 = V881137 - 1. assign V395635 = V812519. assign V511031 = V111873. assign V160507 = V743629 + 1. assign V301542 = V257825. assign V343135 = V670663 - 1. assign V420816 = V434484 - 1. assign V143039 = V996223 + 1. assign V707660 = V035337 - 1. assign V544111 = V459618 - 1. assign V743629 = V257825 + 1. assign V793254 = V994505 - 1. assign V961621 = V996223. assign V295845 = V098578 - 1. assign V459618 = V257825 + 1. assign V313103 = V075100 - 1. assign V339654 = V692249 - 1. assign V966072 = V551180 - 1. assign V562665 = V652754. assign V049095 = V767337. assign V902026 = V678934 + 1. assign V342354 = V767337 - 1. assign V503362 = V143039 - 1. assign V251445 = V904232 - 1. assign V269012 = V840940 - 1. assign V508543 = V629910. assign V670663 = V743629. assign V276875 = V570297 + 1. assign V640359 = V209213 + 1. assign V335189 = V881137. assign V256890 = V964132. assign V335856 = V483029. assign V570297 = V767337 - 1. assign V964132 = V907791. assign V011081 = V118435. assign V057278 = V420816 + 1. assign V625422 = V692249 - 1. assign V778968 = V672204 - 1. assign V132077 = V228059. assign V483029 = V904232 - 1. assign V179279 = V781335 - 1. assign V574909 = V526357 + 1. assign V658174 = V548680 + 1. assign V722855 = V366285 - 1. assign V284741 = V256890 - 1. assign V676846 = V028141 + 1. assign V267401 = V049095 + 1. assign V979497 = V904232 - 1. assign V434484 = V108352 - 1. assign V629910 = V257825. assign V604648 = V452871 - 1. assign V093719 = V678934. assign V781335 = V536676. assign V639912 = V964132. assign V136150 = V997840 - 1. assign V054839 = V057278 + 1. assign V648457 = V441606 + 1. assign V442552 = V979497. assign V904232 = V140472 - 1. assign V776091 = V539794. assign V225384 = V994505 + 1. assign V257825 = V767337 + 1. assign V501530 = V258215 - 1. assign V419831 = V578049 - 1. assign V927895 = V907791 + 1. assign V483056 = V927895 - 1. assign V228059 = V511031. assign V692249 = V603413 + 1. assign V489010 = V743629 - 1. assign V108352 = V904232. assign V535136 = V678934 - 1. assign V821425 = V861788 - 1. assign V451172 = V140472 + 1. assign V392885 = V881137 + 1. assign V539794 = 1. assign V048070 = V588603 - 1. assign V726761 = V257825 + 1. assign V336634 = V276875 - 1. assign V336252 = V379343. assign V705165 = V108352.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV539794 = 1;\n\nFrom these direct assignment(s), we have: \nV776091 = V539794 = 1;\nNo other variables can be derived from V776091;\nNo other variables can be derived from V539794;\n\nNow we have done all the calculations. Derived variables are:\nV539794 = 1;\nV776091 = 1;\n\nNow we have finished this problem. ANSWER:\nV539794, V776091\n", "role": "assistant" } ]

[ "V772114" ]

[ { "content": "<context>\nassign V647504 = V624702. assign V989766 = V351329 - 1. assign V546332 = V103507. assign V227180 = V549218 - 1. assign V604717 = V496771 - 1. assign V168197 = V525634. assign V567752 = V103507 + 1. assign V759897 = V103507. assign V663035 = V362486 - 1. assign V070750 = V470686. assign V618686 = V243999 - 1. assign V866020 = V435856 - 1. assign V363459 = V685561 - 1. assign V243999 = V351329 + 1. assign V830795 = V168197 - 1. assign V823135 = V686890 + 1. assign V895262 = V524016 + 1. assign V382106 = V639135 + 1. assign V143142 = V148351 + 1. assign V728199 = V351329. assign V057750 = V958314 - 1. assign V304739 = V772114 - 1. assign V859826 = V958314 - 1. assign V124511 = V103507 - 1. assign V496771 = V728199 - 1. assign V580080 = V546332. assign V668262 = V619356 - 1. assign V402579 = V991534 - 1. assign V839715 = V435856 + 1. assign V286509 = V390841. assign V080787 = V143142. assign V405212 = V112878 - 1. assign V878279 = V979376. assign V435856 = V057409 - 1. assign V804162 = V084899 + 1. assign V175766 = V616999 + 1. assign V121542 = V991534. assign V072355 = V842167. assign V965798 = V075014 - 1. assign V254338 = V519777 - 1. assign V470232 = V939027 + 1. assign V384269 = V852013 - 1. assign V524016 = V286509. assign V271765 = V168197 - 1. assign V698909 = V728199. assign V442525 = V819955 + 1. assign V070357 = V525634. assign V044207 = V823135 - 1. assign V994144 = V435856 - 1. assign V659161 = V991534. assign V827718 = V102314. assign V844901 = V435856. assign V135558 = V525634. assign V350942 = V084899 + 1. assign V802976 = V245897 - 1. assign V619356 = V075014 + 1. assign V954538 = V278729 + 1. assign V229094 = V168197 - 1. assign V351329 = V524016. assign V577874 = V746163. assign V948677 = V308658 + 1. assign V909413 = V057409 + 1. assign V952170 = V857367 - 1. assign V891985 = V382106. assign V327306 = V390841 + 1. assign V606786 = V351329 - 1. assign V075014 = V492508. assign V555765 = V804162 - 1. assign V454849 = V112878 + 1. assign V057409 = V525634 - 1. assign V616999 = V798098. assign V395650 = V989766 - 1. assign V958314 = V830795 - 1. assign V245688 = V989766 + 1. assign V857367 = V659161 - 1. assign V366446 = V102314. assign V308742 = V470686. assign V525634 = V055003 + 1. assign V584084 = V825775. assign V216826 = V519777 + 1. assign V053613 = V057409 + 1. assign V477908 = V044207. assign V889863 = V815100 - 1. assign V500198 = V390841 - 1. assign V048693 = V639135. assign V815100 = V802976 - 1. assign V780082 = V866020 + 1. assign V584169 = V332363. assign V795551 = V815100. assign V332363 = V746163 - 1. assign V764601 = V006994 + 1. assign V492508 = V168197 - 1. assign V993202 = V686890 - 1. assign V184886 = V844901 - 1. assign V157882 = V384269 + 1. assign V380624 = V546332 - 1. assign V103507 = V842167 - 1. assign V874207 = V508048 - 1. assign V308658 = V168197. assign V362486 = V422307. assign V258069 = V639135 + 1. assign V321545 = V245897 - 1. assign V507696 = V053613 + 1. assign V939027 = V519777 - 1. assign V077071 = V993202 - 1. assign V057428 = V798098 + 1. assign V148351 = V366446 + 1. assign V305552 = V562033 + 1. assign V578390 = V404910. assign V020992 = V308658 - 1. assign V390841 = V519777. assign V562033 = V844901. assign V422307 = V830795. assign V686890 = V020992 + 1. assign V549218 = V842167. assign V069642 = V055003. assign V308118 = V827718 + 1. assign V458196 = V084899 - 1. assign V728399 = V453616. assign V681036 = V184886 - 1. assign V179768 = V178649. assign V404910 = V577874 + 1. assign V582456 = V746163 - 1. assign V083319 = V842167. assign V863116 = V179768 + 1. assign V486430 = V780082. assign V512254 = V180858 - 1. assign V685666 = V286509 + 1. assign V112878 = V524016 + 1. assign V178649 = V382106. assign V638969 = V450517 + 1. assign V508048 = V582456 - 1. assign V084899 = V168197 + 1. assign V080445 = V798098 + 1. assign V964908 = V020992 - 1. assign V312948 = V402579 - 1. assign V655657 = V958314 - 1. assign V102314 = V639135 + 1. assign V229404 = V500198 + 1. assign V624702 = V422307 - 1. assign V793904 = V136986. assign V245897 = V991534 + 1. assign V661432 = V450517 + 1. assign V470686 = V402579 - 1. assign V979376 = V939027 - 1. assign V639135 = V321545 - 1. assign V685561 = V422307 - 1. assign V842167 = V525634 + 1. assign V991534 = V168197. assign V147670 = V889863 + 1. assign V450517 = V525634 - 1. assign V796115 = V312948 - 1. assign V295651 = V179768 - 1. assign V852013 = V519777 + 1. assign V006994 = V069642 + 1. assign V430170 = V057428. assign V055003 = V519777. assign V746163 = V435856 + 1. assign V819955 = V057409 - 1. assign V180858 = V661432 - 1. assign V337978 = V619356 + 1. assign V453616 = V525634 - 1. assign V772114 = 2. assign V232682 = V659161 - 1. assign V798098 = V258069 - 1. assign V278729 = V422307 + 1. assign V825775 = V075014. assign V432597 = V948677 + 1. assign V136986 = V815100 - 1. assign V553178 = V728399 + 1. assign V194757 = V994144. assign V970449 = V332363 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V647504 = V624702. assign V989766 = V351329 - 1. assign V546332 = V103507. assign V227180 = V549218 - 1. assign V604717 = V496771 - 1. assign V168197 = V525634. assign V567752 = V103507 + 1. assign V759897 = V103507. assign V663035 = V362486 - 1. assign V070750 = V470686. assign V618686 = V243999 - 1. assign V866020 = V435856 - 1. assign V363459 = V685561 - 1. assign V243999 = V351329 + 1. assign V830795 = V168197 - 1. assign V823135 = V686890 + 1. assign V895262 = V524016 + 1. assign V382106 = V639135 + 1. assign V143142 = V148351 + 1. assign V728199 = V351329. assign V057750 = V958314 - 1. assign V304739 = V772114 - 1. assign V859826 = V958314 - 1. assign V124511 = V103507 - 1. assign V496771 = V728199 - 1. assign V580080 = V546332. assign V668262 = V619356 - 1. assign V402579 = V991534 - 1. assign V839715 = V435856 + 1. assign V286509 = V390841. assign V080787 = V143142. assign V405212 = V112878 - 1. assign V878279 = V979376. assign V435856 = V057409 - 1. assign V804162 = V084899 + 1. assign V175766 = V616999 + 1. assign V121542 = V991534. assign V072355 = V842167. assign V965798 = V075014 - 1. assign V254338 = V519777 - 1. assign V470232 = V939027 + 1. assign V384269 = V852013 - 1. assign V524016 = V286509. assign V271765 = V168197 - 1. assign V698909 = V728199. assign V442525 = V819955 + 1. assign V070357 = V525634. assign V044207 = V823135 - 1. assign V994144 = V435856 - 1. assign V659161 = V991534. assign V827718 = V102314. assign V844901 = V435856. assign V135558 = V525634. assign V350942 = V084899 + 1. assign V802976 = V245897 - 1. assign V619356 = V075014 + 1. assign V954538 = V278729 + 1. assign V229094 = V168197 - 1. assign V351329 = V524016. assign V577874 = V746163. assign V948677 = V308658 + 1. assign V909413 = V057409 + 1. assign V952170 = V857367 - 1. assign V891985 = V382106. assign V327306 = V390841 + 1. assign V606786 = V351329 - 1. assign V075014 = V492508. assign V555765 = V804162 - 1. assign V454849 = V112878 + 1. assign V057409 = V525634 - 1. assign V616999 = V798098. assign V395650 = V989766 - 1. assign V958314 = V830795 - 1. assign V245688 = V989766 + 1. assign V857367 = V659161 - 1. assign V366446 = V102314. assign V308742 = V470686. assign V525634 = V055003 + 1. assign V584084 = V825775. assign V216826 = V519777 + 1. assign V053613 = V057409 + 1. assign V477908 = V044207. assign V889863 = V815100 - 1. assign V500198 = V390841 - 1. assign V048693 = V639135. assign V815100 = V802976 - 1. assign V780082 = V866020 + 1. assign V584169 = V332363. assign V795551 = V815100. assign V332363 = V746163 - 1. assign V764601 = V006994 + 1. assign V492508 = V168197 - 1. assign V993202 = V686890 - 1. assign V184886 = V844901 - 1. assign V157882 = V384269 + 1. assign V380624 = V546332 - 1. assign V103507 = V842167 - 1. assign V874207 = V508048 - 1. assign V308658 = V168197. assign V362486 = V422307. assign V258069 = V639135 + 1. assign V321545 = V245897 - 1. assign V507696 = V053613 + 1. assign V939027 = V519777 - 1. assign V077071 = V993202 - 1. assign V057428 = V798098 + 1. assign V148351 = V366446 + 1. assign V305552 = V562033 + 1. assign V578390 = V404910. assign V020992 = V308658 - 1. assign V390841 = V519777. assign V562033 = V844901. assign V422307 = V830795. assign V686890 = V020992 + 1. assign V549218 = V842167. assign V069642 = V055003. assign V308118 = V827718 + 1. assign V458196 = V084899 - 1. assign V728399 = V453616. assign V681036 = V184886 - 1. assign V179768 = V178649. assign V404910 = V577874 + 1. assign V582456 = V746163 - 1. assign V083319 = V842167. assign V863116 = V179768 + 1. assign V486430 = V780082. assign V512254 = V180858 - 1. assign V685666 = V286509 + 1. assign V112878 = V524016 + 1. assign V178649 = V382106. assign V638969 = V450517 + 1. assign V508048 = V582456 - 1. assign V084899 = V168197 + 1. assign V080445 = V798098 + 1. assign V964908 = V020992 - 1. assign V312948 = V402579 - 1. assign V655657 = V958314 - 1. assign V102314 = V639135 + 1. assign V229404 = V500198 + 1. assign V624702 = V422307 - 1. assign V793904 = V136986. assign V245897 = V991534 + 1. assign V661432 = V450517 + 1. assign V470686 = V402579 - 1. assign V979376 = V939027 - 1. assign V639135 = V321545 - 1. assign V685561 = V422307 - 1. assign V842167 = V525634 + 1. assign V991534 = V168197. assign V147670 = V889863 + 1. assign V450517 = V525634 - 1. assign V796115 = V312948 - 1. assign V295651 = V179768 - 1. assign V852013 = V519777 + 1. assign V006994 = V069642 + 1. assign V430170 = V057428. assign V055003 = V519777. assign V746163 = V435856 + 1. assign V819955 = V057409 - 1. assign V180858 = V661432 - 1. assign V337978 = V619356 + 1. assign V453616 = V525634 - 1. assign V772114 = 2. assign V232682 = V659161 - 1. assign V798098 = V258069 - 1. assign V278729 = V422307 + 1. assign V825775 = V075014. assign V432597 = V948677 + 1. assign V136986 = V815100 - 1. assign V553178 = V728399 + 1. assign V194757 = V994144. assign V970449 = V332363 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV772114 = 2;\n\nFrom these direct assignment(s), we have: \nV304739 = V772114 - 1 = 2 - 1 =1;\nNo other variables can be derived from V304739;\nNo other variables can be derived from V772114;\n\nNow we have done all the calculations. Derived variables are:\nV772114 = 2;\nV304739 = 1;\n\nNow we have finished this problem. ANSWER:\nV772114\n", "role": "assistant" } ]

[ "V131886" ]

[ { "content": "<context>\nassign V131886 = V683221 + 1. assign V892393 = V735988 + 1. assign V758108 = V460883 - 1. assign V328144 = V617035. assign V389872 = V188351 + 1. assign V441613 = V344901. assign V617035 = V845506. assign V992784 = V192178 + 1. assign V481972 = V781917. assign V267991 = V233423 + 1. assign V198463 = V263983. assign V527207 = V460883 + 1. assign V195423 = V388713 + 1. assign V434081 = V423697. assign V032598 = V005699. assign V348323 = V188351 - 1. assign V460883 = V237294 - 1. assign V188351 = V215011 - 1. assign V119830 = V769878. assign V619569 = V005699. assign V012887 = V379607. assign V594089 = V610511 + 1. assign V504227 = V710802 + 1. assign V576392 = V631028. assign V356903 = V195423. assign V984336 = V037495 + 1. assign V677960 = V263983 - 1. assign V781917 = V215011 + 1. assign V485594 = V229056 + 1. assign V037495 = V215011. assign V241337 = V643828. assign V190254 = V005699 - 1. assign V074249 = V237294 + 1. assign V607861 = V263983 - 1. assign V643828 = V049389. assign V227073 = V103952 + 1. assign V638440 = V969083 + 1. assign V733567 = V032598 - 1. assign V601782 = V423697. assign V661826 = V579975. assign V469743 = V505363 + 1. assign V944505 = V201523 + 1. assign V404613 = V119830 - 1. assign V549448 = V524879. assign V247719 = V032598 + 1. assign V237294 = V192178 - 1. assign V208398 = V192178. assign V978144 = V423697 + 1. assign V103952 = V769880 - 1. assign V423697 = V095348 - 1. assign V799818 = V188351 - 1. assign V512768 = V389872. assign V240404 = V631028 - 1. assign V344901 = V631028 + 1. assign V907822 = V215011 + 1. assign V844028 = V453935 + 1. assign V734401 = V555500 + 1. assign V735988 = V769878 + 1. assign V213507 = V389872 + 1. assign V532772 = V145130 + 1. assign V626052 = V619569 - 1. assign V611944 = V103952. assign V555500 = V631028. assign V153500 = V610511 - 1. assign V631028 = V607451. assign V083390 = V005025 - 1. assign V808973 = V079162 + 1. assign V049389 = V215011. assign V555318 = V029009. assign V969083 = V944505. assign V845506 = V631028. assign V145130 = V935727 + 1. assign V005025 = V192178 + 1. assign V579975 = V049389 - 1. assign V029009 = V348323. assign V841874 = V319362 - 1. assign V607451 = V188351. assign V079162 = V198463. assign V778685 = V188351. assign V869751 = V607861. assign V710802 = V514618 + 1. assign V248495 = V119830 - 1. assign V052503 = V029009. assign V491255 = V481972. assign V412263 = V049389 - 1. assign V993153 = V549448. assign V334599 = V229056 - 1. assign V221506 = V579975 - 1. assign V017980 = V213507 + 1. assign V379607 = V247719 - 1. assign V945450 = V619569. assign V201523 = V074249 + 1. assign V263983 = V308716 + 1. assign V198516 = V423697 + 1. assign V515967 = V935727 + 1. assign V769878 = V643828 - 1. assign V388647 = V524879 - 1. assign V594454 = V778685 + 1. assign V722588 = V423697 - 1. assign V916217 = V344901. assign V868746 = V631028 + 1. assign V406568 = V618341. assign V405340 = V253270 + 1. assign V027372 = V012887 - 1. assign V399687 = V344901 + 1. assign V034925 = V594454 + 1. assign V800858 = V916217 - 1. assign V851009 = V530997 - 1. assign V280903 = V190254 + 1. assign V514618 = V233423. assign V974271 = V348323 + 1. assign V609059 = V607451. assign V524879 = V781917 - 1. assign V278897 = V594454. assign V182740 = V462263. assign V992894 = V049389. assign V619660 = V229056. assign V192178 = V037495 + 1. assign V483088 = V758108. assign V448579 = V237294 - 1. assign V523862 = V153500 + 1. assign V080407 = V781917. assign V360231 = V530997. assign V584485 = V601782 - 1. assign V308716 = V977638. assign V683221 = 1. assign V337178 = V460883. assign V849396 = V892361 + 1. assign V603621 = V237294 - 1. assign V672655 = V491255. assign V590456 = V875923. assign V892361 = V875923 - 1. assign V505363 = V710802 + 1. assign V393879 = V095348. assign V388713 = V974271 + 1. assign V024191 = V460883 + 1. assign V287626 = V523862. assign V572064 = V601782 + 1. assign V825182 = V029009. assign V530997 = V005699 + 1. assign V977638 = V208398 + 1. assign V453935 = V263983 - 1. assign V189830 = V735988 + 1. assign V915774 = V308716 + 1. assign V935727 = V237294 - 1. assign V095348 = V188351 - 1. assign V832957 = V530997 + 1. assign V229056 = V738314 + 1. assign V874125 = V328144. assign V233423 = V049389. assign V009774 = V017980 + 1. assign V795393 = V778685 - 1. assign V219285 = V005025 + 1. assign V492539 = V287626 - 1. assign V354618 = V145130. assign V610511 = V388713. assign V875923 = V781917 + 1. assign V319362 = V233423. assign V253270 = V240404 - 1. assign V005699 = V308716 + 1. assign V779682 = V992784 - 1. assign V971391 = V734401. assign V101618 = V778685. assign V545945 = V360231 - 1. assign V738314 = V095348 - 1. assign V462263 = V348323 - 1. assign V271068 = V215011 + 1. assign V618341 = V192178 + 1. assign V531295 = V189830 - 1. assign V027554 = V607451. assign V769880 = V619660 - 1. assign V724392 = V354618.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V131886 = V683221 + 1. assign V892393 = V735988 + 1. assign V758108 = V460883 - 1. assign V328144 = V617035. assign V389872 = V188351 + 1. assign V441613 = V344901. assign V617035 = V845506. assign V992784 = V192178 + 1. assign V481972 = V781917. assign V267991 = V233423 + 1. assign V198463 = V263983. assign V527207 = V460883 + 1. assign V195423 = V388713 + 1. assign V434081 = V423697. assign V032598 = V005699. assign V348323 = V188351 - 1. assign V460883 = V237294 - 1. assign V188351 = V215011 - 1. assign V119830 = V769878. assign V619569 = V005699. assign V012887 = V379607. assign V594089 = V610511 + 1. assign V504227 = V710802 + 1. assign V576392 = V631028. assign V356903 = V195423. assign V984336 = V037495 + 1. assign V677960 = V263983 - 1. assign V781917 = V215011 + 1. assign V485594 = V229056 + 1. assign V037495 = V215011. assign V241337 = V643828. assign V190254 = V005699 - 1. assign V074249 = V237294 + 1. assign V607861 = V263983 - 1. assign V643828 = V049389. assign V227073 = V103952 + 1. assign V638440 = V969083 + 1. assign V733567 = V032598 - 1. assign V601782 = V423697. assign V661826 = V579975. assign V469743 = V505363 + 1. assign V944505 = V201523 + 1. assign V404613 = V119830 - 1. assign V549448 = V524879. assign V247719 = V032598 + 1. assign V237294 = V192178 - 1. assign V208398 = V192178. assign V978144 = V423697 + 1. assign V103952 = V769880 - 1. assign V423697 = V095348 - 1. assign V799818 = V188351 - 1. assign V512768 = V389872. assign V240404 = V631028 - 1. assign V344901 = V631028 + 1. assign V907822 = V215011 + 1. assign V844028 = V453935 + 1. assign V734401 = V555500 + 1. assign V735988 = V769878 + 1. assign V213507 = V389872 + 1. assign V532772 = V145130 + 1. assign V626052 = V619569 - 1. assign V611944 = V103952. assign V555500 = V631028. assign V153500 = V610511 - 1. assign V631028 = V607451. assign V083390 = V005025 - 1. assign V808973 = V079162 + 1. assign V049389 = V215011. assign V555318 = V029009. assign V969083 = V944505. assign V845506 = V631028. assign V145130 = V935727 + 1. assign V005025 = V192178 + 1. assign V579975 = V049389 - 1. assign V029009 = V348323. assign V841874 = V319362 - 1. assign V607451 = V188351. assign V079162 = V198463. assign V778685 = V188351. assign V869751 = V607861. assign V710802 = V514618 + 1. assign V248495 = V119830 - 1. assign V052503 = V029009. assign V491255 = V481972. assign V412263 = V049389 - 1. assign V993153 = V549448. assign V334599 = V229056 - 1. assign V221506 = V579975 - 1. assign V017980 = V213507 + 1. assign V379607 = V247719 - 1. assign V945450 = V619569. assign V201523 = V074249 + 1. assign V263983 = V308716 + 1. assign V198516 = V423697 + 1. assign V515967 = V935727 + 1. assign V769878 = V643828 - 1. assign V388647 = V524879 - 1. assign V594454 = V778685 + 1. assign V722588 = V423697 - 1. assign V916217 = V344901. assign V868746 = V631028 + 1. assign V406568 = V618341. assign V405340 = V253270 + 1. assign V027372 = V012887 - 1. assign V399687 = V344901 + 1. assign V034925 = V594454 + 1. assign V800858 = V916217 - 1. assign V851009 = V530997 - 1. assign V280903 = V190254 + 1. assign V514618 = V233423. assign V974271 = V348323 + 1. assign V609059 = V607451. assign V524879 = V781917 - 1. assign V278897 = V594454. assign V182740 = V462263. assign V992894 = V049389. assign V619660 = V229056. assign V192178 = V037495 + 1. assign V483088 = V758108. assign V448579 = V237294 - 1. assign V523862 = V153500 + 1. assign V080407 = V781917. assign V360231 = V530997. assign V584485 = V601782 - 1. assign V308716 = V977638. assign V683221 = 1. assign V337178 = V460883. assign V849396 = V892361 + 1. assign V603621 = V237294 - 1. assign V672655 = V491255. assign V590456 = V875923. assign V892361 = V875923 - 1. assign V505363 = V710802 + 1. assign V393879 = V095348. assign V388713 = V974271 + 1. assign V024191 = V460883 + 1. assign V287626 = V523862. assign V572064 = V601782 + 1. assign V825182 = V029009. assign V530997 = V005699 + 1. assign V977638 = V208398 + 1. assign V453935 = V263983 - 1. assign V189830 = V735988 + 1. assign V915774 = V308716 + 1. assign V935727 = V237294 - 1. assign V095348 = V188351 - 1. assign V832957 = V530997 + 1. assign V229056 = V738314 + 1. assign V874125 = V328144. assign V233423 = V049389. assign V009774 = V017980 + 1. assign V795393 = V778685 - 1. assign V219285 = V005025 + 1. assign V492539 = V287626 - 1. assign V354618 = V145130. assign V610511 = V388713. assign V875923 = V781917 + 1. assign V319362 = V233423. assign V253270 = V240404 - 1. assign V005699 = V308716 + 1. assign V779682 = V992784 - 1. assign V971391 = V734401. assign V101618 = V778685. assign V545945 = V360231 - 1. assign V738314 = V095348 - 1. assign V462263 = V348323 - 1. assign V271068 = V215011 + 1. assign V618341 = V192178 + 1. assign V531295 = V189830 - 1. assign V027554 = V607451. assign V769880 = V619660 - 1. assign V724392 = V354618.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV683221 = 1;\n\nFrom these direct assignment(s), we have: \nV131886 = V683221 + 1 = 1 + 1 =2;\nNo other variables can be derived from V131886;\nNo other variables can be derived from V683221;\n\nNow we have done all the calculations. Derived variables are:\nV683221 = 1;\nV131886 = 2;\n\nNow we have finished this problem. ANSWER:\nV131886\n", "role": "assistant" } ]

[ "V786140" ]

[ { "content": "<context>\nassign V529739 = V121924. assign V561215 = V577403 + 1. assign V050309 = V541954 - 1. assign V398949 = V126167. assign V161539 = V029777 + 1. assign V331101 = V867770. assign V396433 = V096747 - 1. assign V015502 = V932482 - 1. assign V587356 = V617424. assign V812462 = V509561 + 1. assign V410319 = V142992. assign V916785 = V553754 - 1. assign V094938 = V953854 - 1. assign V388236 = V142992. assign V792483 = V550178 + 1. assign V752139 = V029006 - 1. assign V156702 = V029006 - 1. assign V532835 = V231932 - 1. assign V520434 = V576519. assign V609538 = V792483. assign V849192 = V577403. assign V392057 = V900070. assign V325521 = V876261. assign V204350 = V257353 + 1. assign V550178 = V076792 + 1. assign V900070 = V076792 + 1. assign V889227 = V867770 + 1. assign V743959 = V671914 - 1. assign V334336 = V849192 + 1. assign V107985 = V980617 + 1. assign V970119 = V671914 + 1. assign V565716 = V550178. assign V953854 = V704588. assign V900471 = V416061 + 1. assign V194190 = V393061. assign V649422 = V029777 - 1. assign V876261 = V898102 + 1. assign V776675 = V307637 + 1. assign V029777 = V792483 - 1. assign V763789 = V515951. assign V165696 = V763789 - 1. assign V774101 = V641432 + 1. assign V941477 = V029006 + 1. assign V630070 = V311131 + 1. assign V529544 = V900471 + 1. assign V949124 = V392057. assign V512821 = V211344. assign V512884 = V512094 - 1. assign V489121 = V763789 - 1. assign V789895 = V849192. assign V302493 = V573750 - 1. assign V393061 = V307637. assign V610292 = V509561. assign V483707 = V898102 + 1. assign V934637 = V812462. assign V764382 = V894931 + 1. assign V916051 = V786817. assign V509561 = V563700. assign V123016 = V142992. assign V563700 = V898102 + 1. assign V382988 = V894931 + 1. assign V132818 = V509561 + 1. assign V641432 = V505802 - 1. assign V307637 = V076792 - 1. assign V058892 = V704588 - 1. assign V916320 = V466439. assign V932482 = V695948 - 1. assign V375276 = V493920 + 1. assign V052945 = V776675 + 1. assign V231932 = V422167 + 1. assign V040438 = V076792. assign V145363 = V325521 + 1. assign V081186 = V970119 - 1. assign V754167 = V434439. assign V080764 = V743959. assign V952610 = V483707 - 1. assign V257353 = V752139. assign V930358 = V211344 + 1. assign V434439 = V457062 + 1. assign V908568 = V512884. assign V956211 = V953854 - 1. assign V576519 = V577403. assign V422167 = V785932. assign V553754 = V257353. assign V076879 = V561215. assign V574127 = V307637 - 1. assign V678507 = V493920 + 1. assign V015318 = V980617 + 1. assign V416061 = V577403 - 1. assign V786140 = V751607 + 1. assign V780934 = V894931. assign V354004 = V548525 + 1. assign V512094 = V393061 + 1. assign V867770 = V671914 - 1. assign V907163 = V252536 + 1. assign V896459 = V687739 + 1. assign V811101 = V780934 - 1. assign V142992 = V792483 + 1. assign V619937 = V912598 - 1. assign V695948 = V780934 + 1. assign V205541 = V561215 + 1. assign V259574 = V301518 - 1. assign V391708 = V052945 - 1. assign V947852 = V907163 + 1. assign V615243 = V811101. assign V022756 = V186779. assign V096747 = V029006 - 1. assign V624131 = V375276 - 1. assign V980617 = V548525. assign V200995 = V932482 + 1. assign V311131 = V792483 + 1. assign V252536 = V393061. assign V864690 = V536822 + 1. assign V785932 = V577403 + 1. assign V536822 = V705764 - 1. assign V785540 = V704588 + 1. assign V793372 = V311131 + 1. assign V548525 = V123016 + 1. assign V842202 = V211344 + 1. assign V441075 = V442171 - 1. assign V216005 = V121924. assign V470793 = V354004 - 1. assign V894931 = V792483 + 1. assign V704588 = V123016 - 1. assign V959991 = V550178 - 1. assign V515951 = V257353 - 1. assign V751607 = 3. assign V466439 = V970119. assign V687739 = V187688. assign V573750 = V577403 + 1. assign V739166 = V422167. assign V457062 = V186779 - 1. assign V977954 = V393061 + 1. assign V211344 = V609538. assign V577403 = V307637 + 1. assign V442171 = V867770. assign V186779 = V563700 + 1. assign V152201 = V916320 - 1. assign V301518 = V687739 - 1. assign V898102 = V671914 + 1. assign V110088 = V040438. assign V012885 = V867770 - 1. assign V493920 = V900070. assign V098634 = V396433 + 1. assign V737925 = V311131. assign V375900 = V609538 + 1. assign V236637 = V763789 - 1. assign V013282 = V388236 - 1. assign V489016 = V704588 - 1. assign V837014 = V252536. assign V742450 = V550178 + 1. assign V087123 = V752139 - 1. assign V736555 = V029006. assign V894066 = V483707 - 1. assign V617424 = V392057 + 1. assign V252762 = V947852. assign V912598 = V704588. assign V029006 = V550178 + 1. assign V397737 = V553754 - 1. assign V351142 = V792483 - 1. assign V786817 = V671914. assign V705764 = V763789 + 1. assign V671914 = V029006. assign V817597 = V156702. assign V914752 = V410319 + 1. assign V121924 = V393061 + 1. assign V505802 = V354004 + 1. assign V289563 = V577403 - 1. assign V187688 = V565716 + 1. assign V126167 = V257353. assign V983596 = V977954. assign V541954 = V142992 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V529739 = V121924. assign V561215 = V577403 + 1. assign V050309 = V541954 - 1. assign V398949 = V126167. assign V161539 = V029777 + 1. assign V331101 = V867770. assign V396433 = V096747 - 1. assign V015502 = V932482 - 1. assign V587356 = V617424. assign V812462 = V509561 + 1. assign V410319 = V142992. assign V916785 = V553754 - 1. assign V094938 = V953854 - 1. assign V388236 = V142992. assign V792483 = V550178 + 1. assign V752139 = V029006 - 1. assign V156702 = V029006 - 1. assign V532835 = V231932 - 1. assign V520434 = V576519. assign V609538 = V792483. assign V849192 = V577403. assign V392057 = V900070. assign V325521 = V876261. assign V204350 = V257353 + 1. assign V550178 = V076792 + 1. assign V900070 = V076792 + 1. assign V889227 = V867770 + 1. assign V743959 = V671914 - 1. assign V334336 = V849192 + 1. assign V107985 = V980617 + 1. assign V970119 = V671914 + 1. assign V565716 = V550178. assign V953854 = V704588. assign V900471 = V416061 + 1. assign V194190 = V393061. assign V649422 = V029777 - 1. assign V876261 = V898102 + 1. assign V776675 = V307637 + 1. assign V029777 = V792483 - 1. assign V763789 = V515951. assign V165696 = V763789 - 1. assign V774101 = V641432 + 1. assign V941477 = V029006 + 1. assign V630070 = V311131 + 1. assign V529544 = V900471 + 1. assign V949124 = V392057. assign V512821 = V211344. assign V512884 = V512094 - 1. assign V489121 = V763789 - 1. assign V789895 = V849192. assign V302493 = V573750 - 1. assign V393061 = V307637. assign V610292 = V509561. assign V483707 = V898102 + 1. assign V934637 = V812462. assign V764382 = V894931 + 1. assign V916051 = V786817. assign V509561 = V563700. assign V123016 = V142992. assign V563700 = V898102 + 1. assign V382988 = V894931 + 1. assign V132818 = V509561 + 1. assign V641432 = V505802 - 1. assign V307637 = V076792 - 1. assign V058892 = V704588 - 1. assign V916320 = V466439. assign V932482 = V695948 - 1. assign V375276 = V493920 + 1. assign V052945 = V776675 + 1. assign V231932 = V422167 + 1. assign V040438 = V076792. assign V145363 = V325521 + 1. assign V081186 = V970119 - 1. assign V754167 = V434439. assign V080764 = V743959. assign V952610 = V483707 - 1. assign V257353 = V752139. assign V930358 = V211344 + 1. assign V434439 = V457062 + 1. assign V908568 = V512884. assign V956211 = V953854 - 1. assign V576519 = V577403. assign V422167 = V785932. assign V553754 = V257353. assign V076879 = V561215. assign V574127 = V307637 - 1. assign V678507 = V493920 + 1. assign V015318 = V980617 + 1. assign V416061 = V577403 - 1. assign V786140 = V751607 + 1. assign V780934 = V894931. assign V354004 = V548525 + 1. assign V512094 = V393061 + 1. assign V867770 = V671914 - 1. assign V907163 = V252536 + 1. assign V896459 = V687739 + 1. assign V811101 = V780934 - 1. assign V142992 = V792483 + 1. assign V619937 = V912598 - 1. assign V695948 = V780934 + 1. assign V205541 = V561215 + 1. assign V259574 = V301518 - 1. assign V391708 = V052945 - 1. assign V947852 = V907163 + 1. assign V615243 = V811101. assign V022756 = V186779. assign V096747 = V029006 - 1. assign V624131 = V375276 - 1. assign V980617 = V548525. assign V200995 = V932482 + 1. assign V311131 = V792483 + 1. assign V252536 = V393061. assign V864690 = V536822 + 1. assign V785932 = V577403 + 1. assign V536822 = V705764 - 1. assign V785540 = V704588 + 1. assign V793372 = V311131 + 1. assign V548525 = V123016 + 1. assign V842202 = V211344 + 1. assign V441075 = V442171 - 1. assign V216005 = V121924. assign V470793 = V354004 - 1. assign V894931 = V792483 + 1. assign V704588 = V123016 - 1. assign V959991 = V550178 - 1. assign V515951 = V257353 - 1. assign V751607 = 3. assign V466439 = V970119. assign V687739 = V187688. assign V573750 = V577403 + 1. assign V739166 = V422167. assign V457062 = V186779 - 1. assign V977954 = V393061 + 1. assign V211344 = V609538. assign V577403 = V307637 + 1. assign V442171 = V867770. assign V186779 = V563700 + 1. assign V152201 = V916320 - 1. assign V301518 = V687739 - 1. assign V898102 = V671914 + 1. assign V110088 = V040438. assign V012885 = V867770 - 1. assign V493920 = V900070. assign V098634 = V396433 + 1. assign V737925 = V311131. assign V375900 = V609538 + 1. assign V236637 = V763789 - 1. assign V013282 = V388236 - 1. assign V489016 = V704588 - 1. assign V837014 = V252536. assign V742450 = V550178 + 1. assign V087123 = V752139 - 1. assign V736555 = V029006. assign V894066 = V483707 - 1. assign V617424 = V392057 + 1. assign V252762 = V947852. assign V912598 = V704588. assign V029006 = V550178 + 1. assign V397737 = V553754 - 1. assign V351142 = V792483 - 1. assign V786817 = V671914. assign V705764 = V763789 + 1. assign V671914 = V029006. assign V817597 = V156702. assign V914752 = V410319 + 1. assign V121924 = V393061 + 1. assign V505802 = V354004 + 1. assign V289563 = V577403 - 1. assign V187688 = V565716 + 1. assign V126167 = V257353. assign V983596 = V977954. assign V541954 = V142992 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV751607 = 3;\n\nFrom these direct assignment(s), we have: \nV786140 = V751607 + 1 = 3 + 1 =4;\nNo other variables can be derived from V786140;\nNo other variables can be derived from V751607;\n\nNow we have done all the calculations. Derived variables are:\nV751607 = 3;\nV786140 = 4;\n\nNow we have finished this problem. ANSWER:\nV786140\n", "role": "assistant" } ]

[ "V705709" ]

[ { "content": "<context>\nassign V870055 = V472304 - 1. assign V181221 = V147232. assign V958860 = V850811 + 1. assign V986101 = V304667 + 1. assign V760966 = V108520 - 1. assign V110298 = V099786 + 1. assign V852986 = V534527 + 1. assign V705709 = V758706 - 1. assign V389404 = V852986 + 1. assign V990794 = V763687 + 1. assign V857163 = V760966 - 1. assign V229229 = V746163 + 1. assign V913884 = V547991 - 1. assign V139647 = V472304 - 1. assign V534527 = V203045 + 1. assign V108520 = V928900. assign V217579 = V893474. assign V122237 = V630674 - 1. assign V195414 = V641242. assign V099786 = V763687 + 1. assign V508267 = V300987 + 1. assign V099511 = V893990. assign V657001 = V217579. assign V897867 = V763687. assign V760134 = V334744. assign V462013 = V225873 - 1. assign V368029 = V328367 + 1. assign V328367 = V099786. assign V849254 = V760966 + 1. assign V934766 = V694331. assign V694331 = V110298 - 1. assign V334744 = V328367. assign V670398 = V610966. assign V243061 = V852986 - 1. assign V016468 = V175926 - 1. assign V624514 = V175926. assign V956074 = V334744 - 1. assign V622819 = V613287 - 1. assign V703405 = V746163. assign V893990 = V266357. assign V472304 = V257601 + 1. assign V833006 = V703405. assign V931055 = V842794 + 1. assign V730323 = V998351 - 1. assign V477684 = V807781 - 1. assign V913072 = V763687 + 1. assign V280226 = V718255. assign V003261 = V752875 - 1. assign V363137 = V015184. assign V517913 = V060214 + 1. assign V546132 = V680888 - 1. assign V194532 = V203045. assign V959288 = V944878. assign V203045 = V383751 - 1. assign V368494 = V852986 - 1. assign V800401 = V622819. assign V846178 = V157206 + 1. assign V863074 = V408628 + 1. assign V266357 = V944422. assign V597419 = V852986 + 1. assign V175926 = V408628 + 1. assign V463946 = V547991 - 1. assign V255656 = V763687 - 1. assign V300987 = V690999. assign V140357 = V229229 + 1. assign V359512 = V670398 + 1. assign V680888 = V243061 + 1. assign V893474 = V547991 + 1. assign V693109 = V703199 + 1. assign V141709 = V185039 + 1. assign V610966 = V383751 + 1. assign V059913 = V383751 + 1. assign V668132 = V693776 + 1. assign V122137 = V763687. assign V701910 = V587226. assign V442051 = V931825 - 1. assign V950843 = V718255 - 1. assign V793792 = V328367 - 1. assign V122233 = V225873. assign V304667 = V463946 - 1. assign V199459 = V870055. assign V114166 = V203045. assign V906853 = V147232. assign V141127 = V852986 - 1. assign V669117 = V906853. assign V147232 = V897867 - 1. assign V928900 = V582478 - 1. assign V225873 = V122137 + 1. assign V381170 = V857163. assign V450939 = V079527 - 1. assign V818813 = V122233. assign V175564 = V833006. assign V805215 = V257601 - 1. assign V903979 = V931825 + 1. assign V730820 = V517988 - 1. assign V988772 = V257601 + 1. assign V630674 = V670398 + 1. assign V173435 = V363137 - 1. assign V079527 = V763687 - 1. assign V060214 = V817300 - 1. assign V746163 = V897867 - 1. assign V517988 = V141127 - 1. assign V613287 = V703199 + 1. assign V157206 = V870055 + 1. assign V020682 = V141127 - 1. assign V587428 = V846178 + 1. assign V026750 = V763687. assign V944422 = V026750 - 1. assign V257601 = V534527 - 1. assign V065507 = V411318 - 1. assign V478736 = V359512 - 1. assign V718255 = V079527 - 1. assign V343908 = V110298 + 1. assign V859707 = V817300 - 1. assign V693776 = V763687. assign V489518 = V913072. assign V547991 = V099786 - 1. assign V383751 = V693776 - 1. assign V860161 = V009775 - 1. assign V231708 = V934766 + 1. assign V185039 = V805215. assign V707292 = V389042 + 1. assign V582478 = V099786. assign V629133 = V893474 - 1. assign V384673 = V534527 + 1. assign V998351 = V693776 + 1. assign V214512 = V668132 - 1. assign V587226 = V147232 + 1. assign V752875 = V255656 + 1. assign V360167 = V411318. assign V909945 = V817300 + 1. assign V944878 = V009775 + 1. assign V015184 = V944878 - 1. assign V616160 = V389042. assign V735571 = V363137. assign V134424 = V928900 - 1. assign V608147 = V597419 - 1. assign V703199 = V807781. assign V850811 = V199459. assign V075919 = V807781 - 1. assign V389042 = V805215. assign V690999 = V134424. assign V931665 = V110298. assign V457145 = V214512. assign V392854 = V897867 - 1. assign V426528 = V141709 + 1. assign V388229 = V141127 + 1. assign V622347 = V477442 + 1. assign V009775 = V763687 + 1. assign V817300 = V122137. assign V324815 = V140357. assign V163426 = V255656. assign V870158 = V787910. assign V481191 = V389042 - 1. assign V318054 = V099786 - 1. assign V932124 = V944422. assign V118393 = V964622 - 1. assign V641242 = V707293. assign V667889 = V408628 - 1. assign V408628 = V334744 + 1. assign V787910 = V389042 + 1. assign V807781 = V897867. assign V707293 = V134424. assign V477442 = V328367. assign V843070 = V807781 + 1. assign V975342 = V846178. assign V842794 = V693776 + 1. assign V758706 = 4. assign V411318 = V194532 + 1. assign V518475 = V707292 + 1. assign V964622 = V582478 - 1. assign V931825 = V852986 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V870055 = V472304 - 1. assign V181221 = V147232. assign V958860 = V850811 + 1. assign V986101 = V304667 + 1. assign V760966 = V108520 - 1. assign V110298 = V099786 + 1. assign V852986 = V534527 + 1. assign V705709 = V758706 - 1. assign V389404 = V852986 + 1. assign V990794 = V763687 + 1. assign V857163 = V760966 - 1. assign V229229 = V746163 + 1. assign V913884 = V547991 - 1. assign V139647 = V472304 - 1. assign V534527 = V203045 + 1. assign V108520 = V928900. assign V217579 = V893474. assign V122237 = V630674 - 1. assign V195414 = V641242. assign V099786 = V763687 + 1. assign V508267 = V300987 + 1. assign V099511 = V893990. assign V657001 = V217579. assign V897867 = V763687. assign V760134 = V334744. assign V462013 = V225873 - 1. assign V368029 = V328367 + 1. assign V328367 = V099786. assign V849254 = V760966 + 1. assign V934766 = V694331. assign V694331 = V110298 - 1. assign V334744 = V328367. assign V670398 = V610966. assign V243061 = V852986 - 1. assign V016468 = V175926 - 1. assign V624514 = V175926. assign V956074 = V334744 - 1. assign V622819 = V613287 - 1. assign V703405 = V746163. assign V893990 = V266357. assign V472304 = V257601 + 1. assign V833006 = V703405. assign V931055 = V842794 + 1. assign V730323 = V998351 - 1. assign V477684 = V807781 - 1. assign V913072 = V763687 + 1. assign V280226 = V718255. assign V003261 = V752875 - 1. assign V363137 = V015184. assign V517913 = V060214 + 1. assign V546132 = V680888 - 1. assign V194532 = V203045. assign V959288 = V944878. assign V203045 = V383751 - 1. assign V368494 = V852986 - 1. assign V800401 = V622819. assign V846178 = V157206 + 1. assign V863074 = V408628 + 1. assign V266357 = V944422. assign V597419 = V852986 + 1. assign V175926 = V408628 + 1. assign V463946 = V547991 - 1. assign V255656 = V763687 - 1. assign V300987 = V690999. assign V140357 = V229229 + 1. assign V359512 = V670398 + 1. assign V680888 = V243061 + 1. assign V893474 = V547991 + 1. assign V693109 = V703199 + 1. assign V141709 = V185039 + 1. assign V610966 = V383751 + 1. assign V059913 = V383751 + 1. assign V668132 = V693776 + 1. assign V122137 = V763687. assign V701910 = V587226. assign V442051 = V931825 - 1. assign V950843 = V718255 - 1. assign V793792 = V328367 - 1. assign V122233 = V225873. assign V304667 = V463946 - 1. assign V199459 = V870055. assign V114166 = V203045. assign V906853 = V147232. assign V141127 = V852986 - 1. assign V669117 = V906853. assign V147232 = V897867 - 1. assign V928900 = V582478 - 1. assign V225873 = V122137 + 1. assign V381170 = V857163. assign V450939 = V079527 - 1. assign V818813 = V122233. assign V175564 = V833006. assign V805215 = V257601 - 1. assign V903979 = V931825 + 1. assign V730820 = V517988 - 1. assign V988772 = V257601 + 1. assign V630674 = V670398 + 1. assign V173435 = V363137 - 1. assign V079527 = V763687 - 1. assign V060214 = V817300 - 1. assign V746163 = V897867 - 1. assign V517988 = V141127 - 1. assign V613287 = V703199 + 1. assign V157206 = V870055 + 1. assign V020682 = V141127 - 1. assign V587428 = V846178 + 1. assign V026750 = V763687. assign V944422 = V026750 - 1. assign V257601 = V534527 - 1. assign V065507 = V411318 - 1. assign V478736 = V359512 - 1. assign V718255 = V079527 - 1. assign V343908 = V110298 + 1. assign V859707 = V817300 - 1. assign V693776 = V763687. assign V489518 = V913072. assign V547991 = V099786 - 1. assign V383751 = V693776 - 1. assign V860161 = V009775 - 1. assign V231708 = V934766 + 1. assign V185039 = V805215. assign V707292 = V389042 + 1. assign V582478 = V099786. assign V629133 = V893474 - 1. assign V384673 = V534527 + 1. assign V998351 = V693776 + 1. assign V214512 = V668132 - 1. assign V587226 = V147232 + 1. assign V752875 = V255656 + 1. assign V360167 = V411318. assign V909945 = V817300 + 1. assign V944878 = V009775 + 1. assign V015184 = V944878 - 1. assign V616160 = V389042. assign V735571 = V363137. assign V134424 = V928900 - 1. assign V608147 = V597419 - 1. assign V703199 = V807781. assign V850811 = V199459. assign V075919 = V807781 - 1. assign V389042 = V805215. assign V690999 = V134424. assign V931665 = V110298. assign V457145 = V214512. assign V392854 = V897867 - 1. assign V426528 = V141709 + 1. assign V388229 = V141127 + 1. assign V622347 = V477442 + 1. assign V009775 = V763687 + 1. assign V817300 = V122137. assign V324815 = V140357. assign V163426 = V255656. assign V870158 = V787910. assign V481191 = V389042 - 1. assign V318054 = V099786 - 1. assign V932124 = V944422. assign V118393 = V964622 - 1. assign V641242 = V707293. assign V667889 = V408628 - 1. assign V408628 = V334744 + 1. assign V787910 = V389042 + 1. assign V807781 = V897867. assign V707293 = V134424. assign V477442 = V328367. assign V843070 = V807781 + 1. assign V975342 = V846178. assign V842794 = V693776 + 1. assign V758706 = 4. assign V411318 = V194532 + 1. assign V518475 = V707292 + 1. assign V964622 = V582478 - 1. assign V931825 = V852986 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV758706 = 4;\n\nFrom these direct assignment(s), we have: \nV705709 = V758706 - 1 = 4 - 1 =3;\nNo other variables can be derived from V705709;\nNo other variables can be derived from V758706;\n\nNow we have done all the calculations. Derived variables are:\nV758706 = 4;\nV705709 = 3;\n\nNow we have finished this problem. ANSWER:\nV705709\n", "role": "assistant" } ]

[ "V159116", "V559458" ]

[ { "content": "<context>\nassign V065575 = V788484 - 1. assign V969448 = V939943 - 1. assign V033492 = V298518. assign V522909 = V208928 - 1. assign V219711 = V310021. assign V829180 = V560909 + 1. assign V921930 = V092909 - 1. assign V226287 = V310021 - 1. assign V853727 = V202703 - 1. assign V643561 = V994229 - 1. assign V456422 = V807395 + 1. assign V316977 = V111471 - 1. assign V118040 = V039158 - 1. assign V273740 = V853727. assign V348502 = V867716. assign V029244 = V883853. assign V393098 = V692257 - 1. assign V288570 = V662143. assign V994229 = V353748 - 1. assign V662143 = V159545 - 1. assign V839951 = V127573 - 1. assign V628121 = V058024 - 1. assign V041756 = V829180 - 1. assign V549098 = V324216. assign V661427 = V417223 + 1. assign V818234 = V323264 + 1. assign V310021 = V003700 - 1. assign V746440 = V427049 + 1. assign V022126 = V324216 + 1. assign V935580 = V623718 + 1. assign V740533 = V154687. assign V760579 = V560909 + 1. assign V326563 = V107092 + 1. assign V980676 = V349558 - 1. assign V349558 = V159545. assign V880544 = V079790 - 1. assign V202703 = V994229 + 1. assign V154687 = V040462 + 1. assign V392910 = V117786. assign V257864 = V354398 + 1. assign V538446 = V857074 + 1. assign V389187 = V553117 + 1. assign V262713 = V695684 - 1. assign V281027 = V288570 + 1. assign V329104 = V085172 - 1. assign V445001 = V262713 + 1. assign V760009 = V576240. assign V079790 = V111471. assign V165994 = V642771 + 1. assign V117786 = V788484 - 1. assign V298518 = V159545 + 1. assign V513640 = V445001 - 1. assign V290513 = V353748 - 1. assign V745036 = V883853. assign V085172 = V952771. assign V812858 = V079790 - 1. assign V058024 = V290513 + 1. assign V669966 = V980676 - 1. assign V075590 = V032628 - 1. assign V754365 = V262713. assign V883853 = V059104. assign V056842 = V117786. assign V015090 = V979806 - 1. assign V939943 = V059104 + 1. assign V576240 = V976422. assign V913367 = V623718 - 1. assign V867716 = V262713. assign V457945 = V882322 - 1. assign V324416 = V867716 + 1. assign V333641 = V496980. assign V560909 = V090215. assign V692257 = V337720. assign V958614 = V610514 - 1. assign V092909 = V535161 + 1. assign V086766 = V347977. assign V979806 = V788484. assign V582819 = V522909 + 1. assign V034030 = V296799 + 1. assign V107092 = V623718 + 1. assign V615449 = V496980 + 1. assign V418880 = V569320 - 1. assign V120992 = V092909 - 1. assign V414452 = V290513 + 1. assign V870840 = V850971. assign V882322 = V466311 + 1. assign V790147 = V040462. assign V538455 = V969448 + 1. assign V743943 = V931240. assign V857074 = V466311. assign V039158 = V075590. assign V158005 = V040462. assign V145424 = V154687 + 1. assign V427095 = V615449 - 1. assign V749490 = V591791 + 1. assign V795468 = V695684. assign V954464 = V065575 - 1. assign V931871 = V417223. assign V090215 = V466311. assign V591791 = V812858 - 1. assign V807395 = V404317. assign V040462 = V788484. assign V847082 = V090215 + 1. assign V296799 = V466311 + 1. assign V803763 = V056842. assign V559458 = V159116. assign V969399 = V939943. assign V159545 = V040462 - 1. assign V278016 = V839951 - 1. assign V782053 = V695684 - 1. assign V246489 = V882322. assign V346933 = V032628 + 1. assign V616069 = V746440 - 1. assign V427049 = V456422 + 1. assign V742316 = V829180. assign V032628 = V059104 + 1. assign V417223 = V015090. assign V560106 = V610514 + 1. assign V324216 = V349558 - 1. assign V634287 = V273740. assign V323264 = V661427 - 1. assign V347977 = V952771 + 1. assign V477168 = V159545. assign V788484 = V466311 - 1. assign V822122 = V158005 + 1. assign V127573 = V349558 + 1. assign V354398 = V115743 + 1. assign V013331 = V791561 - 1. assign V569320 = V979806. assign V395541 = V867716 + 1. assign V187914 = V257864 + 1. assign V724844 = V522909. assign V623718 = V979806. assign V533307 = V867716 - 1. assign V894301 = V610514. assign V115743 = V939943. assign V759980 = V466311. assign V976422 = V127573 + 1. assign V047377 = V954464 - 1. assign V831278 = V882322 + 1. assign V952771 = V324416. assign V248647 = V326563 - 1. assign V553117 = V090215. assign V980500 = V392910 + 1. assign V059104 = V466311 - 1. assign V898979 = V894301. assign V695684 = V090215 + 1. assign V610514 = V353748 - 1. assign V496980 = V337720 - 1. assign V206611 = V153105 + 1. assign V404317 = V040462 - 1. assign V208928 = V976422. assign V232156 = V643561. assign V337720 = V040462 + 1. assign V153105 = V560909 + 1. assign V353748 = V059104 - 1. assign V003700 = V969448 - 1. assign V350708 = V969448. assign V539269 = V857074 + 1. assign V762619 = V979806 + 1. assign V159116 = 3. assign V138505 = V952771. assign V835481 = V615449. assign V931240 = V145424 + 1. assign V642771 = V980500 + 1. assign V791561 = V980500 + 1. assign V859790 = V281027. assign V111471 = V623718 + 1. assign V535161 = V015090 + 1. assign V596607 = V324416 - 1. assign V850971 = V692257. assign V572950 = V145424 - 1. assign V934073 = V117786 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V065575 = V788484 - 1. assign V969448 = V939943 - 1. assign V033492 = V298518. assign V522909 = V208928 - 1. assign V219711 = V310021. assign V829180 = V560909 + 1. assign V921930 = V092909 - 1. assign V226287 = V310021 - 1. assign V853727 = V202703 - 1. assign V643561 = V994229 - 1. assign V456422 = V807395 + 1. assign V316977 = V111471 - 1. assign V118040 = V039158 - 1. assign V273740 = V853727. assign V348502 = V867716. assign V029244 = V883853. assign V393098 = V692257 - 1. assign V288570 = V662143. assign V994229 = V353748 - 1. assign V662143 = V159545 - 1. assign V839951 = V127573 - 1. assign V628121 = V058024 - 1. assign V041756 = V829180 - 1. assign V549098 = V324216. assign V661427 = V417223 + 1. assign V818234 = V323264 + 1. assign V310021 = V003700 - 1. assign V746440 = V427049 + 1. assign V022126 = V324216 + 1. assign V935580 = V623718 + 1. assign V740533 = V154687. assign V760579 = V560909 + 1. assign V326563 = V107092 + 1. assign V980676 = V349558 - 1. assign V349558 = V159545. assign V880544 = V079790 - 1. assign V202703 = V994229 + 1. assign V154687 = V040462 + 1. assign V392910 = V117786. assign V257864 = V354398 + 1. assign V538446 = V857074 + 1. assign V389187 = V553117 + 1. assign V262713 = V695684 - 1. assign V281027 = V288570 + 1. assign V329104 = V085172 - 1. assign V445001 = V262713 + 1. assign V760009 = V576240. assign V079790 = V111471. assign V165994 = V642771 + 1. assign V117786 = V788484 - 1. assign V298518 = V159545 + 1. assign V513640 = V445001 - 1. assign V290513 = V353748 - 1. assign V745036 = V883853. assign V085172 = V952771. assign V812858 = V079790 - 1. assign V058024 = V290513 + 1. assign V669966 = V980676 - 1. assign V075590 = V032628 - 1. assign V754365 = V262713. assign V883853 = V059104. assign V056842 = V117786. assign V015090 = V979806 - 1. assign V939943 = V059104 + 1. assign V576240 = V976422. assign V913367 = V623718 - 1. assign V867716 = V262713. assign V457945 = V882322 - 1. assign V324416 = V867716 + 1. assign V333641 = V496980. assign V560909 = V090215. assign V692257 = V337720. assign V958614 = V610514 - 1. assign V092909 = V535161 + 1. assign V086766 = V347977. assign V979806 = V788484. assign V582819 = V522909 + 1. assign V034030 = V296799 + 1. assign V107092 = V623718 + 1. assign V615449 = V496980 + 1. assign V418880 = V569320 - 1. assign V120992 = V092909 - 1. assign V414452 = V290513 + 1. assign V870840 = V850971. assign V882322 = V466311 + 1. assign V790147 = V040462. assign V538455 = V969448 + 1. assign V743943 = V931240. assign V857074 = V466311. assign V039158 = V075590. assign V158005 = V040462. assign V145424 = V154687 + 1. assign V427095 = V615449 - 1. assign V749490 = V591791 + 1. assign V795468 = V695684. assign V954464 = V065575 - 1. assign V931871 = V417223. assign V090215 = V466311. assign V591791 = V812858 - 1. assign V807395 = V404317. assign V040462 = V788484. assign V847082 = V090215 + 1. assign V296799 = V466311 + 1. assign V803763 = V056842. assign V559458 = V159116. assign V969399 = V939943. assign V159545 = V040462 - 1. assign V278016 = V839951 - 1. assign V782053 = V695684 - 1. assign V246489 = V882322. assign V346933 = V032628 + 1. assign V616069 = V746440 - 1. assign V427049 = V456422 + 1. assign V742316 = V829180. assign V032628 = V059104 + 1. assign V417223 = V015090. assign V560106 = V610514 + 1. assign V324216 = V349558 - 1. assign V634287 = V273740. assign V323264 = V661427 - 1. assign V347977 = V952771 + 1. assign V477168 = V159545. assign V788484 = V466311 - 1. assign V822122 = V158005 + 1. assign V127573 = V349558 + 1. assign V354398 = V115743 + 1. assign V013331 = V791561 - 1. assign V569320 = V979806. assign V395541 = V867716 + 1. assign V187914 = V257864 + 1. assign V724844 = V522909. assign V623718 = V979806. assign V533307 = V867716 - 1. assign V894301 = V610514. assign V115743 = V939943. assign V759980 = V466311. assign V976422 = V127573 + 1. assign V047377 = V954464 - 1. assign V831278 = V882322 + 1. assign V952771 = V324416. assign V248647 = V326563 - 1. assign V553117 = V090215. assign V980500 = V392910 + 1. assign V059104 = V466311 - 1. assign V898979 = V894301. assign V695684 = V090215 + 1. assign V610514 = V353748 - 1. assign V496980 = V337720 - 1. assign V206611 = V153105 + 1. assign V404317 = V040462 - 1. assign V208928 = V976422. assign V232156 = V643561. assign V337720 = V040462 + 1. assign V153105 = V560909 + 1. assign V353748 = V059104 - 1. assign V003700 = V969448 - 1. assign V350708 = V969448. assign V539269 = V857074 + 1. assign V762619 = V979806 + 1. assign V159116 = 3. assign V138505 = V952771. assign V835481 = V615449. assign V931240 = V145424 + 1. assign V642771 = V980500 + 1. assign V791561 = V980500 + 1. assign V859790 = V281027. assign V111471 = V623718 + 1. assign V535161 = V015090 + 1. assign V596607 = V324416 - 1. assign V850971 = V692257. assign V572950 = V145424 - 1. assign V934073 = V117786 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV159116 = 3;\n\nFrom these direct assignment(s), we have: \nV559458 = V159116 = 3;\nNo other variables can be derived from V559458;\nNo other variables can be derived from V159116;\n\nNow we have done all the calculations. Derived variables are:\nV159116 = 3;\nV559458 = 3;\n\nNow we have finished this problem. ANSWER:\nV159116, V559458\n", "role": "assistant" } ]

[ "V483944" ]

[ { "content": "<context>\nassign V618106 = V204863 - 1. assign V138229 = V854721 + 1. assign V680990 = V209472 - 1. assign V612060 = V468979. assign V829478 = V285603 - 1. assign V706946 = V764400 - 1. assign V464406 = V867202 - 1. assign V372372 = V412068 - 1. assign V764400 = V376366. assign V811650 = V682585 - 1. assign V724278 = V213791 + 1. assign V382964 = V679517 - 1. assign V592608 = V867202 + 1. assign V092219 = V908600 + 1. assign V140961 = V528970 + 1. assign V441196 = V376366. assign V019500 = V668974. assign V614769 = V396209 - 1. assign V609906 = V398193 + 1. assign V423320 = V819005 - 1. assign V019673 = V573775 - 1. assign V817742 = V457913 + 1. assign V479254 = V366780. assign V863941 = V468979. assign V970051 = V334565 + 1. assign V698978 = V084897 - 1. assign V555345 = V680990 - 1. assign V362536 = V501752 + 1. assign V412068 = V435696 - 1. assign V073737 = V500957 + 1. assign V300991 = V189777 + 1. assign V392598 = V747863 - 1. assign V854351 = V865100 - 1. assign V543429 = V756373 + 1. assign V218460 = V680990 + 1. assign V492367 = V061635. assign V243269 = V852896 - 1. assign V398193 = V061635 + 1. assign V774988 = V102587. assign V935943 = V859648. assign V102587 = V747326 + 1. assign V644911 = V102587. assign V513336 = V189777 - 1. assign V573775 = V543429. assign V682585 = V764400 - 1. assign V528970 = V435696. assign V189388 = V649377 - 1. assign V823716 = V366780 - 1. assign V864203 = V464406 + 1. assign V813277 = V587683 - 1. assign V824574 = V793981 + 1. assign V481309 = V992830 - 1. assign V087153 = V592608 - 1. assign V156635 = V682585. assign V109053 = V854721 - 1. assign V351420 = V575775. assign V994286 = V161056 - 1. assign V679517 = V084897. assign V867202 = V154564 - 1. assign V557289 = V612296 + 1. assign V053316 = V412068 - 1. assign V529842 = 1. assign V756453 = V204863. assign V067356 = V989390. assign V084897 = V908600. assign V209472 = V764400. assign V603934 = V398193 - 1. assign V756373 = V854721 - 1. assign V612296 = V909600 + 1. assign V625839 = V806372 + 1. assign V435696 = V204863 + 1. assign V514142 = V061635 - 1. assign V309055 = V012072 + 1. assign V212293 = V908600 - 1. assign V735875 = V231376 - 1. assign V036029 = V586283 + 1. assign V483944 = V529842 + 1. assign V080012 = V501752 - 1. assign V854721 = V660537 + 1. assign V606789 = V441196 - 1. assign V762102 = V863941 - 1. assign V457913 = V244990. assign V587683 = V859648. assign V658010 = V043677 - 1. assign V159426 = V863941 - 1. assign V833055 = V351128 + 1. assign V204863 = V682585. assign V131612 = V586283. assign V663525 = V764400. assign V745713 = V035535 + 1. assign V139169 = V774988. assign V078773 = V854721 + 1. assign V895519 = V811650 + 1. assign V334565 = V542602. assign V148413 = V243269 - 1. assign V989390 = V008502 - 1. assign V586283 = V208081 - 1. assign V376366 = V660537 + 1. assign V208081 = V300991 + 1. assign V966496 = V679517 + 1. assign V865100 = V682585. assign V074019 = V481105 - 1. assign V105053 = V285603 - 1. assign V351128 = V764400. assign V819005 = V793981 - 1. assign V909600 = V543429. assign V265621 = V747863 + 1. assign V928057 = V852896 - 1. assign V213791 = V663525 + 1. assign V542602 = V573775 + 1. assign V575059 = V865100 + 1. assign V239928 = V035535. assign V471900 = V102587 - 1. assign V043677 = V865100 - 1. assign V981718 = V994286 - 1. assign V012072 = V774988 + 1. assign V529144 = V542602 - 1. assign V770996 = V679517. assign V409137 = V793981 + 1. assign V324302 = V209472 - 1. assign V481105 = V992830 - 1. assign V244990 = V351128 - 1. assign V747863 = V823716. assign V992830 = V909600. assign V866266 = V575059 - 1. assign V337116 = V078773 - 1. assign V901757 = V603934 - 1. assign V686126 = V682585. assign V859648 = V329435 - 1. assign V968640 = V138229 - 1. assign V008502 = V865100 - 1. assign V991011 = V329435 - 1. assign V932225 = V774988 - 1. assign V501752 = V028526. assign V943939 = V625839 + 1. assign V147958 = V376366 - 1. assign V704945 = V528970. assign V626392 = V019673 - 1. assign V668974 = V756373. assign V146027 = V747863 + 1. assign V502411 = V543429 - 1. assign V035535 = V351128 - 1. assign V618807 = V756373. assign V061635 = V660537. assign V366780 = V764400. assign V189777 = V706946 - 1. assign V908600 = V209472 + 1. assign V810744 = V159426 - 1. assign V728943 = V612060 + 1. assign V329435 = V209472. assign V985271 = V928057. assign V950097 = V644911 - 1. assign V140290 = V908600 - 1. assign V285603 = V859648 + 1. assign V793981 = V606789 - 1. assign V396209 = V140961. assign V028526 = V680990 - 1. assign V747326 = V156635 + 1. assign V161056 = V159426 + 1. assign V852896 = V189777 + 1. assign V591842 = V500957 - 1. assign V649377 = V756373 + 1. assign V583328 = V618106 - 1. assign V817800 = V698978 + 1. assign V468979 = V156635 + 1. assign V154564 = V078773. assign V595495 = V747863 - 1. assign V534559 = V329435 - 1. assign V806372 = V204863 + 1. assign V500957 = V189777 + 1. assign V231376 = V706946 - 1. assign V575775 = V811650.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V618106 = V204863 - 1. assign V138229 = V854721 + 1. assign V680990 = V209472 - 1. assign V612060 = V468979. assign V829478 = V285603 - 1. assign V706946 = V764400 - 1. assign V464406 = V867202 - 1. assign V372372 = V412068 - 1. assign V764400 = V376366. assign V811650 = V682585 - 1. assign V724278 = V213791 + 1. assign V382964 = V679517 - 1. assign V592608 = V867202 + 1. assign V092219 = V908600 + 1. assign V140961 = V528970 + 1. assign V441196 = V376366. assign V019500 = V668974. assign V614769 = V396209 - 1. assign V609906 = V398193 + 1. assign V423320 = V819005 - 1. assign V019673 = V573775 - 1. assign V817742 = V457913 + 1. assign V479254 = V366780. assign V863941 = V468979. assign V970051 = V334565 + 1. assign V698978 = V084897 - 1. assign V555345 = V680990 - 1. assign V362536 = V501752 + 1. assign V412068 = V435696 - 1. assign V073737 = V500957 + 1. assign V300991 = V189777 + 1. assign V392598 = V747863 - 1. assign V854351 = V865100 - 1. assign V543429 = V756373 + 1. assign V218460 = V680990 + 1. assign V492367 = V061635. assign V243269 = V852896 - 1. assign V398193 = V061635 + 1. assign V774988 = V102587. assign V935943 = V859648. assign V102587 = V747326 + 1. assign V644911 = V102587. assign V513336 = V189777 - 1. assign V573775 = V543429. assign V682585 = V764400 - 1. assign V528970 = V435696. assign V189388 = V649377 - 1. assign V823716 = V366780 - 1. assign V864203 = V464406 + 1. assign V813277 = V587683 - 1. assign V824574 = V793981 + 1. assign V481309 = V992830 - 1. assign V087153 = V592608 - 1. assign V156635 = V682585. assign V109053 = V854721 - 1. assign V351420 = V575775. assign V994286 = V161056 - 1. assign V679517 = V084897. assign V867202 = V154564 - 1. assign V557289 = V612296 + 1. assign V053316 = V412068 - 1. assign V529842 = 1. assign V756453 = V204863. assign V067356 = V989390. assign V084897 = V908600. assign V209472 = V764400. assign V603934 = V398193 - 1. assign V756373 = V854721 - 1. assign V612296 = V909600 + 1. assign V625839 = V806372 + 1. assign V435696 = V204863 + 1. assign V514142 = V061635 - 1. assign V309055 = V012072 + 1. assign V212293 = V908600 - 1. assign V735875 = V231376 - 1. assign V036029 = V586283 + 1. assign V483944 = V529842 + 1. assign V080012 = V501752 - 1. assign V854721 = V660537 + 1. assign V606789 = V441196 - 1. assign V762102 = V863941 - 1. assign V457913 = V244990. assign V587683 = V859648. assign V658010 = V043677 - 1. assign V159426 = V863941 - 1. assign V833055 = V351128 + 1. assign V204863 = V682585. assign V131612 = V586283. assign V663525 = V764400. assign V745713 = V035535 + 1. assign V139169 = V774988. assign V078773 = V854721 + 1. assign V895519 = V811650 + 1. assign V334565 = V542602. assign V148413 = V243269 - 1. assign V989390 = V008502 - 1. assign V586283 = V208081 - 1. assign V376366 = V660537 + 1. assign V208081 = V300991 + 1. assign V966496 = V679517 + 1. assign V865100 = V682585. assign V074019 = V481105 - 1. assign V105053 = V285603 - 1. assign V351128 = V764400. assign V819005 = V793981 - 1. assign V909600 = V543429. assign V265621 = V747863 + 1. assign V928057 = V852896 - 1. assign V213791 = V663525 + 1. assign V542602 = V573775 + 1. assign V575059 = V865100 + 1. assign V239928 = V035535. assign V471900 = V102587 - 1. assign V043677 = V865100 - 1. assign V981718 = V994286 - 1. assign V012072 = V774988 + 1. assign V529144 = V542602 - 1. assign V770996 = V679517. assign V409137 = V793981 + 1. assign V324302 = V209472 - 1. assign V481105 = V992830 - 1. assign V244990 = V351128 - 1. assign V747863 = V823716. assign V992830 = V909600. assign V866266 = V575059 - 1. assign V337116 = V078773 - 1. assign V901757 = V603934 - 1. assign V686126 = V682585. assign V859648 = V329435 - 1. assign V968640 = V138229 - 1. assign V008502 = V865100 - 1. assign V991011 = V329435 - 1. assign V932225 = V774988 - 1. assign V501752 = V028526. assign V943939 = V625839 + 1. assign V147958 = V376366 - 1. assign V704945 = V528970. assign V626392 = V019673 - 1. assign V668974 = V756373. assign V146027 = V747863 + 1. assign V502411 = V543429 - 1. assign V035535 = V351128 - 1. assign V618807 = V756373. assign V061635 = V660537. assign V366780 = V764400. assign V189777 = V706946 - 1. assign V908600 = V209472 + 1. assign V810744 = V159426 - 1. assign V728943 = V612060 + 1. assign V329435 = V209472. assign V985271 = V928057. assign V950097 = V644911 - 1. assign V140290 = V908600 - 1. assign V285603 = V859648 + 1. assign V793981 = V606789 - 1. assign V396209 = V140961. assign V028526 = V680990 - 1. assign V747326 = V156635 + 1. assign V161056 = V159426 + 1. assign V852896 = V189777 + 1. assign V591842 = V500957 - 1. assign V649377 = V756373 + 1. assign V583328 = V618106 - 1. assign V817800 = V698978 + 1. assign V468979 = V156635 + 1. assign V154564 = V078773. assign V595495 = V747863 - 1. assign V534559 = V329435 - 1. assign V806372 = V204863 + 1. assign V500957 = V189777 + 1. assign V231376 = V706946 - 1. assign V575775 = V811650.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV529842 = 1;\n\nFrom these direct assignment(s), we have: \nV483944 = V529842 + 1 = 1 + 1 =2;\nNo other variables can be derived from V483944;\nNo other variables can be derived from V529842;\n\nNow we have done all the calculations. Derived variables are:\nV529842 = 1;\nV483944 = 2;\n\nNow we have finished this problem. ANSWER:\nV483944\n", "role": "assistant" } ]

[ "V884520" ]

[ { "content": "<context>\nassign V232054 = V431179. assign V664491 = V376297 - 1. assign V453256 = V206480 + 1. assign V747271 = V850102 + 1. assign V957230 = V620823 - 1. assign V405627 = V098944. assign V849689 = V866925 - 1. assign V486347 = V859090 + 1. assign V851569 = V164791 - 1. assign V568216 = V403003. assign V880781 = V850102. assign V732004 = V292227 + 1. assign V018280 = V405624 - 1. assign V867128 = V563425 + 1. assign V868366 = V851569. assign V081932 = V687283 + 1. assign V295045 = V281098 + 1. assign V732070 = V318933 + 1. assign V374511 = V850102 - 1. assign V850102 = V185906 - 1. assign V423081 = V156358 - 1. assign V788072 = V304627 - 1. assign V200799 = V011737 + 1. assign V859436 = V991225 + 1. assign V459885 = V218152. assign V303451 = V194417 + 1. assign V970874 = V547143. assign V921475 = V423081 - 1. assign V704745 = V417727. assign V403455 = V620823 - 1. assign V544361 = V962429 + 1. assign V339271 = V072735 - 1. assign V345206 = V077881. assign V336585 = V362533 - 1. assign V660776 = V417727 - 1. assign V624822 = V970874 - 1. assign V592329 = V313883 - 1. assign V194417 = V223317. assign V010192 = V185906. assign V895189 = V164791 - 1. assign V093711 = V005876 - 1. assign V591650 = V608961 + 1. assign V218152 = V370731 - 1. assign V206480 = V351656 - 1. assign V156358 = V185906. assign V895466 = V173070 - 1. assign V332770 = V168068 - 1. assign V072735 = V077881. assign V126770 = V005876 + 1. assign V223317 = V345206 - 1. assign V535949 = V924397 + 1. assign V998539 = V005876 - 1. assign V867263 = V824837 + 1. assign V088272 = V438334. assign V629865 = V073466. assign V940401 = V812665 - 1. assign V005876 = V098944 - 1. assign V009682 = V568216 + 1. assign V128098 = V156358 + 1. assign V687283 = V093711. assign V318933 = V042512 + 1. assign V036918 = V098944. assign V491560 = V580619 + 1. assign V405624 = V824837 - 1. assign V292227 = V568216 - 1. assign V168068 = V417727. assign V193438 = V056095 - 1. assign V924397 = V098944 + 1. assign V268052 = V687283 + 1. assign V225727 = V164791. assign V089910 = V223317 - 1. assign V564459 = V431179. assign V281098 = V005876. assign V114762 = V928347 - 1. assign V812665 = V376297. assign V435289 = V041156 - 1. assign V042512 = V438334. assign V435957 = V568216 - 1. assign V448037 = V156358 + 1. assign V479872 = V194020 - 1. assign V405399 = V318933 + 1. assign V866925 = V077881. assign V676944 = V765998 - 1. assign V688458 = V585559 + 1. assign V098944 = V185906 + 1. assign V600612 = V580619 - 1. assign V039832 = V098944. assign V919753 = V486347 + 1. assign V580619 = V041156 - 1. assign V733253 = V089910. assign V494067 = V223317 - 1. assign V351656 = V405627 - 1. assign V608961 = V765998. assign V842617 = V940401 - 1. assign V616528 = V506505. assign V400707 = V156358 + 1. assign V531915 = V629865 - 1. assign V086673 = V568216 - 1. assign V362533 = V005876. assign V173070 = V962429 + 1. assign V403003 = V537939 + 1. assign V304627 = V486347 - 1. assign V658915 = V405627 + 1. assign V027328 = V884520 + 1. assign V915925 = V662954. assign V417727 = V351656. assign V320682 = V866925 - 1. assign V712464 = V089910 - 1. assign V415381 = V098944 - 1. assign V395332 = V403003. assign V662954 = V304627. assign V374351 = V537939 + 1. assign V767157 = V486347 + 1. assign V370731 = V548093 + 1. assign V816557 = V395332 - 1. assign V666403 = V537939. assign V742750 = V911079. assign V424311 = V156358 - 1. assign V041156 = V362533 - 1. assign V133459 = V660776 + 1. assign V808330 = V585559 + 1. assign V095405 = V494067. assign V609896 = V957230 + 1. assign V011737 = V423081 - 1. assign V056095 = V156358 - 1. assign V313883 = V928347 - 1. assign V376297 = V895189 + 1. assign V859090 = V345206 + 1. assign V722725 = V824837 + 1. assign V884520 = 0. assign V693774 = V185906. assign V849860 = V423081. assign V765998 = V098944. assign V566709 = V086673 - 1. assign V073466 = V126770 + 1. assign V911079 = V345206. assign V469280 = V915925. assign V117393 = V206480 + 1. assign V458593 = V320682. assign V186741 = V056095. assign V165487 = V438334. assign V716750 = V676944 + 1. assign V506968 = V547143 + 1. assign V824837 = V548093 + 1. assign V537939 = V077881 + 1. assign V803524 = V998539 - 1. assign V409680 = V453256 + 1. assign V620823 = V880781 + 1. assign V547143 = V851569 + 1. assign V077881 = V185906 - 1. assign V962429 = V056095. assign V125379 = V747271 - 1. assign V975895 = V850102 - 1. assign V548093 = V693774 + 1. assign V991225 = V039832 + 1. assign V658509 = V921475 + 1. assign V222069 = V676944 - 1. assign V703932 = V506505 + 1. assign V431179 = V486347. assign V563425 = V223317 + 1. assign V194020 = V351656. assign V281452 = V005876 + 1. assign V506505 = V494067 + 1. assign V830704 = V193438 - 1. assign V626658 = V448037. assign V993551 = V041156 + 1. assign V928347 = V851569 - 1. assign V164791 = V077881. assign V463808 = V880781 + 1. assign V438334 = V417727 - 1. assign V367193 = V089910 + 1. assign V585559 = V438334.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V232054 = V431179. assign V664491 = V376297 - 1. assign V453256 = V206480 + 1. assign V747271 = V850102 + 1. assign V957230 = V620823 - 1. assign V405627 = V098944. assign V849689 = V866925 - 1. assign V486347 = V859090 + 1. assign V851569 = V164791 - 1. assign V568216 = V403003. assign V880781 = V850102. assign V732004 = V292227 + 1. assign V018280 = V405624 - 1. assign V867128 = V563425 + 1. assign V868366 = V851569. assign V081932 = V687283 + 1. assign V295045 = V281098 + 1. assign V732070 = V318933 + 1. assign V374511 = V850102 - 1. assign V850102 = V185906 - 1. assign V423081 = V156358 - 1. assign V788072 = V304627 - 1. assign V200799 = V011737 + 1. assign V859436 = V991225 + 1. assign V459885 = V218152. assign V303451 = V194417 + 1. assign V970874 = V547143. assign V921475 = V423081 - 1. assign V704745 = V417727. assign V403455 = V620823 - 1. assign V544361 = V962429 + 1. assign V339271 = V072735 - 1. assign V345206 = V077881. assign V336585 = V362533 - 1. assign V660776 = V417727 - 1. assign V624822 = V970874 - 1. assign V592329 = V313883 - 1. assign V194417 = V223317. assign V010192 = V185906. assign V895189 = V164791 - 1. assign V093711 = V005876 - 1. assign V591650 = V608961 + 1. assign V218152 = V370731 - 1. assign V206480 = V351656 - 1. assign V156358 = V185906. assign V895466 = V173070 - 1. assign V332770 = V168068 - 1. assign V072735 = V077881. assign V126770 = V005876 + 1. assign V223317 = V345206 - 1. assign V535949 = V924397 + 1. assign V998539 = V005876 - 1. assign V867263 = V824837 + 1. assign V088272 = V438334. assign V629865 = V073466. assign V940401 = V812665 - 1. assign V005876 = V098944 - 1. assign V009682 = V568216 + 1. assign V128098 = V156358 + 1. assign V687283 = V093711. assign V318933 = V042512 + 1. assign V036918 = V098944. assign V491560 = V580619 + 1. assign V405624 = V824837 - 1. assign V292227 = V568216 - 1. assign V168068 = V417727. assign V193438 = V056095 - 1. assign V924397 = V098944 + 1. assign V268052 = V687283 + 1. assign V225727 = V164791. assign V089910 = V223317 - 1. assign V564459 = V431179. assign V281098 = V005876. assign V114762 = V928347 - 1. assign V812665 = V376297. assign V435289 = V041156 - 1. assign V042512 = V438334. assign V435957 = V568216 - 1. assign V448037 = V156358 + 1. assign V479872 = V194020 - 1. assign V405399 = V318933 + 1. assign V866925 = V077881. assign V676944 = V765998 - 1. assign V688458 = V585559 + 1. assign V098944 = V185906 + 1. assign V600612 = V580619 - 1. assign V039832 = V098944. assign V919753 = V486347 + 1. assign V580619 = V041156 - 1. assign V733253 = V089910. assign V494067 = V223317 - 1. assign V351656 = V405627 - 1. assign V608961 = V765998. assign V842617 = V940401 - 1. assign V616528 = V506505. assign V400707 = V156358 + 1. assign V531915 = V629865 - 1. assign V086673 = V568216 - 1. assign V362533 = V005876. assign V173070 = V962429 + 1. assign V403003 = V537939 + 1. assign V304627 = V486347 - 1. assign V658915 = V405627 + 1. assign V027328 = V884520 + 1. assign V915925 = V662954. assign V417727 = V351656. assign V320682 = V866925 - 1. assign V712464 = V089910 - 1. assign V415381 = V098944 - 1. assign V395332 = V403003. assign V662954 = V304627. assign V374351 = V537939 + 1. assign V767157 = V486347 + 1. assign V370731 = V548093 + 1. assign V816557 = V395332 - 1. assign V666403 = V537939. assign V742750 = V911079. assign V424311 = V156358 - 1. assign V041156 = V362533 - 1. assign V133459 = V660776 + 1. assign V808330 = V585559 + 1. assign V095405 = V494067. assign V609896 = V957230 + 1. assign V011737 = V423081 - 1. assign V056095 = V156358 - 1. assign V313883 = V928347 - 1. assign V376297 = V895189 + 1. assign V859090 = V345206 + 1. assign V722725 = V824837 + 1. assign V884520 = 0. assign V693774 = V185906. assign V849860 = V423081. assign V765998 = V098944. assign V566709 = V086673 - 1. assign V073466 = V126770 + 1. assign V911079 = V345206. assign V469280 = V915925. assign V117393 = V206480 + 1. assign V458593 = V320682. assign V186741 = V056095. assign V165487 = V438334. assign V716750 = V676944 + 1. assign V506968 = V547143 + 1. assign V824837 = V548093 + 1. assign V537939 = V077881 + 1. assign V803524 = V998539 - 1. assign V409680 = V453256 + 1. assign V620823 = V880781 + 1. assign V547143 = V851569 + 1. assign V077881 = V185906 - 1. assign V962429 = V056095. assign V125379 = V747271 - 1. assign V975895 = V850102 - 1. assign V548093 = V693774 + 1. assign V991225 = V039832 + 1. assign V658509 = V921475 + 1. assign V222069 = V676944 - 1. assign V703932 = V506505 + 1. assign V431179 = V486347. assign V563425 = V223317 + 1. assign V194020 = V351656. assign V281452 = V005876 + 1. assign V506505 = V494067 + 1. assign V830704 = V193438 - 1. assign V626658 = V448037. assign V993551 = V041156 + 1. assign V928347 = V851569 - 1. assign V164791 = V077881. assign V463808 = V880781 + 1. assign V438334 = V417727 - 1. assign V367193 = V089910 + 1. assign V585559 = V438334.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV884520 = 0;\n\nFrom these direct assignment(s), we have: \nV027328 = V884520 + 1 = 0 + 1 =1;\nNo other variables can be derived from V027328;\nNo other variables can be derived from V884520;\n\nNow we have done all the calculations. Derived variables are:\nV884520 = 0;\nV027328 = 1;\n\nNow we have finished this problem. ANSWER:\nV884520\n", "role": "assistant" } ]

[ "V273374", "V282192" ]

[ { "content": "<context>\nassign V762878 = V140140 + 1. assign V736866 = V578074 - 1. assign V993956 = V039570 - 1. assign V116396 = V329159 - 1. assign V345751 = V140140. assign V442307 = V212302. assign V388871 = V544663 + 1. assign V191230 = V928513. assign V785964 = V038591 - 1. assign V676220 = V504009. assign V596767 = V605685 - 1. assign V751019 = V710592. assign V443858 = V329159 - 1. assign V057762 = V098436 - 1. assign V824949 = V548414 - 1. assign V748085 = V525394 - 1. assign V379223 = V854413 + 1. assign V025160 = V928485. assign V511388 = V870626 + 1. assign V568226 = V412978 - 1. assign V907390 = V098436. assign V058165 = V033893 - 1. assign V622108 = V248288. assign V430124 = V645681 + 1. assign V098436 = V089349. assign V113239 = V788389. assign V708095 = V038047 - 1. assign V844279 = V870626 - 1. assign V829535 = V511388 + 1. assign V315533 = V544663 - 1. assign V898473 = V412978 - 1. assign V461676 = V928513 + 1. assign V385096 = V140140 + 1. assign V965885 = V476241. assign V525394 = V364365 - 1. assign V472036 = V329159 - 1. assign V578074 = V212302 - 1. assign V249016 = V881817 + 1. assign V707038 = V642788 - 1. assign V985095 = V212302 - 1. assign V870626 = V936199. assign V818223 = V675554 - 1. assign V414969 = V116396 - 1. assign V168450 = V933904. assign V766789 = V645681 + 1. assign V605685 = V140140. assign V276866 = V385096 + 1. assign V726281 = V038591 + 1. assign V515901 = V168450 + 1. assign V645681 = V504009 - 1. assign V924072 = V676958 + 1. assign V497785 = V762878 - 1. assign V771721 = V544663 + 1. assign V347428 = V605685. assign V173429 = V461676 - 1. assign V854413 = V654774. assign V943561 = V430124 - 1. assign V837224 = V726281 + 1. assign V225061 = V707038 - 1. assign V095482 = V605685 - 1. assign V648490 = V657025 - 1. assign V398154 = V517670. assign V450369 = V497785 - 1. assign V928485 = V691898. assign V675554 = V235750 - 1. assign V125474 = V075206 + 1. assign V438216 = V993956 - 1. assign V248288 = V933904. assign V642788 = V248288. assign V991781 = V235750 - 1. assign V289972 = V936199. assign V691898 = V762878 + 1. assign V692415 = V680769 - 1. assign V799163 = V713617 + 1. assign V749022 = V710592 + 1. assign V054517 = V504009 - 1. assign V132985 = V140140. assign V492311 = V676220 - 1. assign V068038 = V751019 - 1. assign V504009 = V710592 - 1. assign V753953 = V515901. assign V412210 = V222184 + 1. assign V881817 = V691898 + 1. assign V222184 = V492311. assign V518696 = V388865 + 1. assign V963436 = V751019. assign V755633 = V248288. assign V212302 = V248288. assign V038047 = V881817. assign V401738 = V936199 + 1. assign V713617 = V375671. assign V923641 = V469414 - 1. assign V486962 = V854413. assign V680769 = V075206 - 1. assign V307226 = V420220 - 1. assign V476241 = V710592 - 1. assign V199714 = V420220 + 1. assign V064611 = V469414 - 1. assign V767176 = V870626 - 1. assign V610116 = V388865. assign V329159 = V548414. assign V991381 = V736866. assign V788389 = V749022. assign V042914 = V924072 + 1. assign V878911 = V401738 + 1. assign V273374 = 2. assign V409924 = V749022 - 1. assign V782181 = V212302. assign V778194 = V068878. assign V038591 = V749022 - 1. assign V235750 = V166977. assign V642627 = V719159 - 1. assign V973730 = V166977 + 1. assign V548414 = V642788 - 1. assign V364365 = V504009 + 1. assign V659328 = V420220 + 1. assign V242241 = V578074 + 1. assign V388865 = V710592 + 1. assign V536321 = V166977. assign V450400 = V963436 + 1. assign V186073 = V038591. assign V375671 = V933904 + 1. assign V936199 = V089349 - 1. assign V387678 = V409924 - 1. assign V929168 = V844279 - 1. assign V420220 = V364365 + 1. assign V075206 = V762878 + 1. assign V924379 = V105407. assign V207211 = V291483. assign V676958 = V116396 + 1. assign V710592 = V248288 - 1. assign V654774 = V680769. assign V418862 = V676220 - 1. assign V064137 = V778194. assign V404060 = V225061 - 1. assign V928513 = V140140 - 1. assign V726233 = V762878 - 1. assign V553891 = V068878 + 1. assign V657025 = V504009 - 1. assign V166977 = V933904 + 1. assign V033893 = V692415 + 1. assign V308101 = V105407 + 1. assign V719159 = V691898. assign V517670 = V966161 + 1. assign V922681 = V973730 + 1. assign V927529 = V057762. assign V211573 = V199714 - 1. assign V820200 = V692415 - 1. assign V749499 = V933904. assign V966161 = V525394. assign V291483 = V719159 + 1. assign V068878 = V788389 - 1. assign V659221 = V710592 - 1. assign V544663 = V168450 + 1. assign V506901 = V089349. assign V018192 = V692415 - 1. assign V089349 = V933904 + 1. assign V564263 = V749499 - 1. assign V570001 = V102829 + 1. assign V752022 = V039570 + 1. assign V591107 = V699548 - 1. assign V699548 = V713617 - 1. assign V644794 = V068878 + 1. assign V105407 = V928513. assign V102829 = V409924 - 1. assign V412978 = V404060. assign V469414 = V936199 + 1. assign V039570 = V710592 + 1. assign V282192 = V273374. assign V835767 = V225061 - 1. assign V813937 = V881817 + 1. assign V140140 = V933904 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V762878 = V140140 + 1. assign V736866 = V578074 - 1. assign V993956 = V039570 - 1. assign V116396 = V329159 - 1. assign V345751 = V140140. assign V442307 = V212302. assign V388871 = V544663 + 1. assign V191230 = V928513. assign V785964 = V038591 - 1. assign V676220 = V504009. assign V596767 = V605685 - 1. assign V751019 = V710592. assign V443858 = V329159 - 1. assign V057762 = V098436 - 1. assign V824949 = V548414 - 1. assign V748085 = V525394 - 1. assign V379223 = V854413 + 1. assign V025160 = V928485. assign V511388 = V870626 + 1. assign V568226 = V412978 - 1. assign V907390 = V098436. assign V058165 = V033893 - 1. assign V622108 = V248288. assign V430124 = V645681 + 1. assign V098436 = V089349. assign V113239 = V788389. assign V708095 = V038047 - 1. assign V844279 = V870626 - 1. assign V829535 = V511388 + 1. assign V315533 = V544663 - 1. assign V898473 = V412978 - 1. assign V461676 = V928513 + 1. assign V385096 = V140140 + 1. assign V965885 = V476241. assign V525394 = V364365 - 1. assign V472036 = V329159 - 1. assign V578074 = V212302 - 1. assign V249016 = V881817 + 1. assign V707038 = V642788 - 1. assign V985095 = V212302 - 1. assign V870626 = V936199. assign V818223 = V675554 - 1. assign V414969 = V116396 - 1. assign V168450 = V933904. assign V766789 = V645681 + 1. assign V605685 = V140140. assign V276866 = V385096 + 1. assign V726281 = V038591 + 1. assign V515901 = V168450 + 1. assign V645681 = V504009 - 1. assign V924072 = V676958 + 1. assign V497785 = V762878 - 1. assign V771721 = V544663 + 1. assign V347428 = V605685. assign V173429 = V461676 - 1. assign V854413 = V654774. assign V943561 = V430124 - 1. assign V837224 = V726281 + 1. assign V225061 = V707038 - 1. assign V095482 = V605685 - 1. assign V648490 = V657025 - 1. assign V398154 = V517670. assign V450369 = V497785 - 1. assign V928485 = V691898. assign V675554 = V235750 - 1. assign V125474 = V075206 + 1. assign V438216 = V993956 - 1. assign V248288 = V933904. assign V642788 = V248288. assign V991781 = V235750 - 1. assign V289972 = V936199. assign V691898 = V762878 + 1. assign V692415 = V680769 - 1. assign V799163 = V713617 + 1. assign V749022 = V710592 + 1. assign V054517 = V504009 - 1. assign V132985 = V140140. assign V492311 = V676220 - 1. assign V068038 = V751019 - 1. assign V504009 = V710592 - 1. assign V753953 = V515901. assign V412210 = V222184 + 1. assign V881817 = V691898 + 1. assign V222184 = V492311. assign V518696 = V388865 + 1. assign V963436 = V751019. assign V755633 = V248288. assign V212302 = V248288. assign V038047 = V881817. assign V401738 = V936199 + 1. assign V713617 = V375671. assign V923641 = V469414 - 1. assign V486962 = V854413. assign V680769 = V075206 - 1. assign V307226 = V420220 - 1. assign V476241 = V710592 - 1. assign V199714 = V420220 + 1. assign V064611 = V469414 - 1. assign V767176 = V870626 - 1. assign V610116 = V388865. assign V329159 = V548414. assign V991381 = V736866. assign V788389 = V749022. assign V042914 = V924072 + 1. assign V878911 = V401738 + 1. assign V273374 = 2. assign V409924 = V749022 - 1. assign V782181 = V212302. assign V778194 = V068878. assign V038591 = V749022 - 1. assign V235750 = V166977. assign V642627 = V719159 - 1. assign V973730 = V166977 + 1. assign V548414 = V642788 - 1. assign V364365 = V504009 + 1. assign V659328 = V420220 + 1. assign V242241 = V578074 + 1. assign V388865 = V710592 + 1. assign V536321 = V166977. assign V450400 = V963436 + 1. assign V186073 = V038591. assign V375671 = V933904 + 1. assign V936199 = V089349 - 1. assign V387678 = V409924 - 1. assign V929168 = V844279 - 1. assign V420220 = V364365 + 1. assign V075206 = V762878 + 1. assign V924379 = V105407. assign V207211 = V291483. assign V676958 = V116396 + 1. assign V710592 = V248288 - 1. assign V654774 = V680769. assign V418862 = V676220 - 1. assign V064137 = V778194. assign V404060 = V225061 - 1. assign V928513 = V140140 - 1. assign V726233 = V762878 - 1. assign V553891 = V068878 + 1. assign V657025 = V504009 - 1. assign V166977 = V933904 + 1. assign V033893 = V692415 + 1. assign V308101 = V105407 + 1. assign V719159 = V691898. assign V517670 = V966161 + 1. assign V922681 = V973730 + 1. assign V927529 = V057762. assign V211573 = V199714 - 1. assign V820200 = V692415 - 1. assign V749499 = V933904. assign V966161 = V525394. assign V291483 = V719159 + 1. assign V068878 = V788389 - 1. assign V659221 = V710592 - 1. assign V544663 = V168450 + 1. assign V506901 = V089349. assign V018192 = V692415 - 1. assign V089349 = V933904 + 1. assign V564263 = V749499 - 1. assign V570001 = V102829 + 1. assign V752022 = V039570 + 1. assign V591107 = V699548 - 1. assign V699548 = V713617 - 1. assign V644794 = V068878 + 1. assign V105407 = V928513. assign V102829 = V409924 - 1. assign V412978 = V404060. assign V469414 = V936199 + 1. assign V039570 = V710592 + 1. assign V282192 = V273374. assign V835767 = V225061 - 1. assign V813937 = V881817 + 1. assign V140140 = V933904 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV273374 = 2;\n\nFrom these direct assignment(s), we have: \nV282192 = V273374 = 2;\nNo other variables can be derived from V282192;\nNo other variables can be derived from V273374;\n\nNow we have done all the calculations. Derived variables are:\nV273374 = 2;\nV282192 = 2;\n\nNow we have finished this problem. ANSWER:\nV273374, V282192\n", "role": "assistant" } ]

[ "V015122", "V665039" ]

[ { "content": "<context>\nassign V847711 = V194574. assign V386734 = V445634. assign V663282 = V106998 - 1. assign V785810 = V461821 - 1. assign V121238 = V170690 - 1. assign V578165 = V795852 + 1. assign V521528 = V490610 + 1. assign V115821 = V136120 + 1. assign V786095 = V218275 + 1. assign V949696 = V404952. assign V656139 = V757511 + 1. assign V649798 = V010766 - 1. assign V092023 = V672075 + 1. assign V306743 = V461821 - 1. assign V431372 = V527952 - 1. assign V350259 = V203833 + 1. assign V638129 = V431372 + 1. assign V080071 = V494093 - 1. assign V364155 = V203833. assign V508214 = V693559 + 1. assign V956648 = V746524 + 1. assign V561304 = V476109 + 1. assign V674456 = V194439 - 1. assign V894987 = V267206 + 1. assign V225293 = V521528 + 1. assign V445634 = V322532 + 1. assign V757511 = V490610 - 1. assign V445685 = V735255. assign V203833 = V322532 + 1. assign V527952 = V194439. assign V136840 = V476109 - 1. assign V802913 = V052832. assign V224334 = V350259 - 1. assign V836808 = V290112 - 1. assign V721696 = V735876 + 1. assign V031142 = V475086. assign V267212 = V489970 - 1. assign V884533 = V229957 - 1. assign V154979 = V332558 - 1. assign V794318 = V136120. assign V614799 = V476109 + 1. assign V940679 = V136120. assign V026909 = V681899 - 1. assign V377987 = V845554 - 1. assign V931417 = V136120 + 1. assign V296482 = V250862 + 1. assign V332558 = V290112 + 1. assign V212073 = V489970. assign V398968 = V203833 + 1. assign V989974 = V386734 + 1. assign V513143 = V799308. assign V318649 = V052832 - 1. assign V821475 = V771570 - 1. assign V267206 = V289994 + 1. assign V072296 = V940679 + 1. assign V381222 = V350259 + 1. assign V250385 = V735255 + 1. assign V549719 = V461821 + 1. assign V071180 = V289994. assign V322532 = V136120. assign V319686 = V445634 - 1. assign V766025 = V931417. assign V087706 = V693559. assign V586516 = V527952 + 1. assign V229957 = V674456. assign V903592 = V802913 - 1. assign V161459 = V319686 - 1. assign V757486 = V940679 + 1. assign V790217 = V267206 - 1. assign V404952 = V490610. assign V534306 = V203833 + 1. assign V170690 = V940679 + 1. assign V780736 = V940679. assign V432724 = V494093. assign V746524 = V350259. assign V030351 = V305098 + 1. assign V015122 = 7. assign V160197 = V570655 - 1. assign V731688 = V087706. assign V194574 = V322532. assign V889633 = V250862. assign V168202 = V771570 - 1. assign V771570 = V374446. assign V374446 = V218275. assign V532895 = V253489. assign V479456 = V870164 + 1. assign V052832 = V475086. assign V220503 = V780736 - 1. assign V743780 = V295257 - 1. assign V461763 = V087706 - 1. assign V295257 = V549719. assign V667093 = V957816. assign V029767 = V883208 - 1. assign V617416 = V956648. assign V655909 = V194574 - 1. assign V449430 = V253489 - 1. assign V106998 = V296482 + 1. assign V681899 = V780736 - 1. assign V227358 = V617416 + 1. assign V701017 = V030351 + 1. assign V937068 = V306743 + 1. assign V374354 = V649798. assign V701418 = V955305. assign V771223 = V944231 - 1. assign V218497 = V052832. assign V601234 = V539442 + 1. assign V173955 = V578165 - 1. assign V845554 = V212073. assign V350302 = V010766 + 1. assign V570655 = V940679. assign V836586 = V010766 + 1. assign V757808 = V306743. assign V844404 = V480865 - 1. assign V618888 = V289994 + 1. assign V699235 = V220503. assign V480471 = V521528 - 1. assign V010766 = V489970 + 1. assign V532775 = V845554 - 1. assign V383935 = V173955. assign V693559 = V364155 + 1. assign V748860 = V445634. assign V766159 = V794318 - 1. assign V955305 = V490610 + 1. assign V649234 = V212073 + 1. assign V108476 = V721696 + 1. assign V075981 = V194439 + 1. assign V781413 = V072296 - 1. assign V250862 = V322532. assign V046783 = V663282 - 1. assign V080539 = V224334 - 1. assign V539442 = V072866. assign V494093 = V203833 - 1. assign V735876 = V446836 + 1. assign V489970 = V136120 + 1. assign V446836 = V350302 - 1. assign V795852 = V350259 + 1. assign V263131 = V674456. assign V883208 = V527952 + 1. assign V480865 = V719217 - 1. assign V799308 = V570655 + 1. assign V524644 = V883208. assign V904266 = V845554 - 1. assign V476109 = V766159 + 1. assign V616482 = V383935 + 1. assign V719217 = V785810. assign V870164 = V194574 - 1. assign V253489 = V693559 + 1. assign V490610 = V194439 - 1. assign V665039 = V015122. assign V461821 = V136120 + 1. assign V322288 = V780736. assign V201198 = V780736. assign V194439 = V780736 + 1. assign V406163 = V693559 - 1. assign V759301 = V524644. assign V475086 = V527952 - 1. assign V735255 = V794318 + 1. assign V218275 = V115821. assign V473868 = V549719. assign V957816 = V250862. assign V289994 = V780736 - 1. assign V654071 = V748860 - 1. assign V944231 = V263131. assign V672075 = V836586. assign V827858 = V445634. assign V524326 = V010766 - 1. assign V072866 = V306743 - 1. assign V239082 = V944231. assign V290112 = V295257. assign V079927 = V250385. assign V305098 = V229957 - 1. assign V771304 = V649798.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V847711 = V194574. assign V386734 = V445634. assign V663282 = V106998 - 1. assign V785810 = V461821 - 1. assign V121238 = V170690 - 1. assign V578165 = V795852 + 1. assign V521528 = V490610 + 1. assign V115821 = V136120 + 1. assign V786095 = V218275 + 1. assign V949696 = V404952. assign V656139 = V757511 + 1. assign V649798 = V010766 - 1. assign V092023 = V672075 + 1. assign V306743 = V461821 - 1. assign V431372 = V527952 - 1. assign V350259 = V203833 + 1. assign V638129 = V431372 + 1. assign V080071 = V494093 - 1. assign V364155 = V203833. assign V508214 = V693559 + 1. assign V956648 = V746524 + 1. assign V561304 = V476109 + 1. assign V674456 = V194439 - 1. assign V894987 = V267206 + 1. assign V225293 = V521528 + 1. assign V445634 = V322532 + 1. assign V757511 = V490610 - 1. assign V445685 = V735255. assign V203833 = V322532 + 1. assign V527952 = V194439. assign V136840 = V476109 - 1. assign V802913 = V052832. assign V224334 = V350259 - 1. assign V836808 = V290112 - 1. assign V721696 = V735876 + 1. assign V031142 = V475086. assign V267212 = V489970 - 1. assign V884533 = V229957 - 1. assign V154979 = V332558 - 1. assign V794318 = V136120. assign V614799 = V476109 + 1. assign V940679 = V136120. assign V026909 = V681899 - 1. assign V377987 = V845554 - 1. assign V931417 = V136120 + 1. assign V296482 = V250862 + 1. assign V332558 = V290112 + 1. assign V212073 = V489970. assign V398968 = V203833 + 1. assign V989974 = V386734 + 1. assign V513143 = V799308. assign V318649 = V052832 - 1. assign V821475 = V771570 - 1. assign V267206 = V289994 + 1. assign V072296 = V940679 + 1. assign V381222 = V350259 + 1. assign V250385 = V735255 + 1. assign V549719 = V461821 + 1. assign V071180 = V289994. assign V322532 = V136120. assign V319686 = V445634 - 1. assign V766025 = V931417. assign V087706 = V693559. assign V586516 = V527952 + 1. assign V229957 = V674456. assign V903592 = V802913 - 1. assign V161459 = V319686 - 1. assign V757486 = V940679 + 1. assign V790217 = V267206 - 1. assign V404952 = V490610. assign V534306 = V203833 + 1. assign V170690 = V940679 + 1. assign V780736 = V940679. assign V432724 = V494093. assign V746524 = V350259. assign V030351 = V305098 + 1. assign V015122 = 7. assign V160197 = V570655 - 1. assign V731688 = V087706. assign V194574 = V322532. assign V889633 = V250862. assign V168202 = V771570 - 1. assign V771570 = V374446. assign V374446 = V218275. assign V532895 = V253489. assign V479456 = V870164 + 1. assign V052832 = V475086. assign V220503 = V780736 - 1. assign V743780 = V295257 - 1. assign V461763 = V087706 - 1. assign V295257 = V549719. assign V667093 = V957816. assign V029767 = V883208 - 1. assign V617416 = V956648. assign V655909 = V194574 - 1. assign V449430 = V253489 - 1. assign V106998 = V296482 + 1. assign V681899 = V780736 - 1. assign V227358 = V617416 + 1. assign V701017 = V030351 + 1. assign V937068 = V306743 + 1. assign V374354 = V649798. assign V701418 = V955305. assign V771223 = V944231 - 1. assign V218497 = V052832. assign V601234 = V539442 + 1. assign V173955 = V578165 - 1. assign V845554 = V212073. assign V350302 = V010766 + 1. assign V570655 = V940679. assign V836586 = V010766 + 1. assign V757808 = V306743. assign V844404 = V480865 - 1. assign V618888 = V289994 + 1. assign V699235 = V220503. assign V480471 = V521528 - 1. assign V010766 = V489970 + 1. assign V532775 = V845554 - 1. assign V383935 = V173955. assign V693559 = V364155 + 1. assign V748860 = V445634. assign V766159 = V794318 - 1. assign V955305 = V490610 + 1. assign V649234 = V212073 + 1. assign V108476 = V721696 + 1. assign V075981 = V194439 + 1. assign V781413 = V072296 - 1. assign V250862 = V322532. assign V046783 = V663282 - 1. assign V080539 = V224334 - 1. assign V539442 = V072866. assign V494093 = V203833 - 1. assign V735876 = V446836 + 1. assign V489970 = V136120 + 1. assign V446836 = V350302 - 1. assign V795852 = V350259 + 1. assign V263131 = V674456. assign V883208 = V527952 + 1. assign V480865 = V719217 - 1. assign V799308 = V570655 + 1. assign V524644 = V883208. assign V904266 = V845554 - 1. assign V476109 = V766159 + 1. assign V616482 = V383935 + 1. assign V719217 = V785810. assign V870164 = V194574 - 1. assign V253489 = V693559 + 1. assign V490610 = V194439 - 1. assign V665039 = V015122. assign V461821 = V136120 + 1. assign V322288 = V780736. assign V201198 = V780736. assign V194439 = V780736 + 1. assign V406163 = V693559 - 1. assign V759301 = V524644. assign V475086 = V527952 - 1. assign V735255 = V794318 + 1. assign V218275 = V115821. assign V473868 = V549719. assign V957816 = V250862. assign V289994 = V780736 - 1. assign V654071 = V748860 - 1. assign V944231 = V263131. assign V672075 = V836586. assign V827858 = V445634. assign V524326 = V010766 - 1. assign V072866 = V306743 - 1. assign V239082 = V944231. assign V290112 = V295257. assign V079927 = V250385. assign V305098 = V229957 - 1. assign V771304 = V649798.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV015122 = 7;\n\nFrom these direct assignment(s), we have: \nV665039 = V015122 = 7;\nNo other variables can be derived from V665039;\nNo other variables can be derived from V015122;\n\nNow we have done all the calculations. Derived variables are:\nV015122 = 7;\nV665039 = 7;\n\nNow we have finished this problem. ANSWER:\nV015122, V665039\n", "role": "assistant" } ]

[ "V346779" ]

[ { "content": "<context>\nassign V410781 = V697400 - 1. assign V567682 = V474363. assign V759617 = V852234 - 1. assign V325053 = V883776 - 1. assign V184383 = V361677 - 1. assign V921309 = V369162 - 1. assign V979251 = V892485. assign V255940 = V092597. assign V219886 = V622008. assign V721206 = V299657 - 1. assign V114535 = V572235 - 1. assign V383998 = V728955 - 1. assign V252540 = 5. assign V465141 = V568202 - 1. assign V299657 = V183567 - 1. assign V696543 = V023480 - 1. assign V049756 = V966743 + 1. assign V544332 = V111679. assign V620572 = V155311 + 1. assign V002447 = V923498. assign V145470 = V839906 + 1. assign V643954 = V852234 - 1. assign V479232 = V746398. assign V474363 = V615465 - 1. assign V374174 = V615465 - 1. assign V622008 = V079279 + 1. assign V964149 = V288192. assign V461047 = V568202 - 1. assign V609134 = V174967 + 1. assign V056421 = V288192 - 1. assign V898167 = V037180 + 1. assign V726737 = V453028. assign V578043 = V124421. assign V910267 = V175109. assign V020671 = V568202. assign V709871 = V066751 - 1. assign V891106 = V798490 - 1. assign V014105 = V361677 + 1. assign V309642 = V102235 - 1. assign V568202 = V883776. assign V346779 = V252540 - 1. assign V622299 = V925397 + 1. assign V471924 = V037180 - 1. assign V923058 = V002447. assign V102235 = V910267 - 1. assign V547280 = V620572. assign V090519 = V903982. assign V334911 = V785816 - 1. assign V728955 = V453028 - 1. assign V155311 = V369162 - 1. assign V903982 = V165340 + 1. assign V036419 = V785816 - 1. assign V455813 = V733871. assign V762801 = V183567 - 1. assign V124421 = V102235 - 1. assign V111679 = V898167 - 1. assign V453028 = V785816. assign V174967 = V288192 + 1. assign V847217 = V862048 - 1. assign V094980 = V762801 + 1. assign V295523 = V066751 - 1. assign V529066 = V759617 - 1. assign V730731 = V567682. assign V785816 = V056421. assign V360254 = V309642 + 1. assign V350981 = V862048 - 1. assign V088893 = V111679. assign V251631 = V599281 - 1. assign V642011 = V966743 - 1. assign V802698 = V369162 - 1. assign V918441 = V883776. assign V044833 = V860062 + 1. assign V391985 = V883776 + 1. assign V341540 = V056421 - 1. assign V079279 = V037180 - 1. assign V039921 = V898167 + 1. assign V323742 = V037180 + 1. assign V035926 = V622008. assign V493462 = V532463. assign V892485 = V852234 - 1. assign V070777 = V726737 - 1. assign V140263 = V145470 + 1. assign V862048 = V175109 - 1. assign V037180 = V183567 + 1. assign V269046 = V195742 - 1. assign V165340 = V369162 - 1. assign V043288 = V529066 - 1. assign V865968 = V742372 + 1. assign V923498 = V992902. assign V474710 = V759617 - 1. assign V302042 = V973445 - 1. assign V339319 = V165340 - 1. assign V572235 = V677701. assign V966743 = V079279 - 1. assign V599281 = V153760 - 1. assign V195742 = V219886 + 1. assign V999276 = V568202 - 1. assign V798490 = V721206. assign V883776 = V369162 + 1. assign V098809 = V497586. assign V610880 = V862048 + 1. assign V722747 = V468187 + 1. assign V482113 = V131209 - 1. assign V529483 = V165340 - 1. assign V758303 = V153760 - 1. assign V468187 = V854378. assign V239295 = V153760 + 1. assign V654615 = V299657 + 1. assign V497586 = V203634 + 1. assign V570871 = V391985 - 1. assign V560266 = V468187. assign V322143 = V350981. assign V615465 = V037180 + 1. assign V415680 = V288192 + 1. assign V203634 = V175109 - 1. assign V368048 = V219886. assign V480146 = V309642 - 1. assign V992265 = V471924. assign V199135 = V323742 - 1. assign V839906 = V037180 + 1. assign V664465 = V094980. assign V450128 = V910267. assign V384477 = V733871 - 1. assign V175109 = V299657 - 1. assign V189313 = V479232 + 1. assign V272700 = V820599 - 1. assign V577225 = V145470 - 1. assign V288192 = V852234 + 1. assign V746398 = V369162 - 1. assign V361677 = V664465 + 1. assign V810286 = V883776. assign V529577 = V654615 + 1. assign V742372 = V299657 + 1. assign V519323 = V124421 + 1. assign V820599 = V474710. assign V260445 = V251631 + 1. assign V852234 = V299657. assign V092597 = V056421. assign V903226 = V910267 - 1. assign V854378 = V288192 - 1. assign V780743 = V697400. assign V066751 = V288192. assign V992902 = V643954 - 1. assign V023480 = V798490. assign V410216 = V544332 - 1. assign V860062 = V288192. assign V452663 = V733871. assign V395348 = V360254 + 1. assign V877664 = V036419 + 1. assign V457904 = V903982. assign V323721 = V903982 + 1. assign V333953 = V529066 + 1. assign V130556 = V043007 - 1. assign V103056 = V820599 - 1. assign V905991 = V334911. assign V551956 = V111679 + 1. assign V131209 = V036419. assign V116178 = V203634 + 1. assign V697400 = V862048 - 1. assign V925397 = V759617 + 1. assign V918766 = V323742 - 1. assign V973445 = V111679. assign V574180 = V721206. assign V982342 = V155311 + 1. assign V733871 = V615465. assign V043007 = V854378. assign V677701 = V391985. assign V153760 = V102235 - 1. assign V436005 = V780743 - 1. assign V369162 = V898167 + 1. assign V223044 = V910267. assign V532463 = V910267 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V410781 = V697400 - 1. assign V567682 = V474363. assign V759617 = V852234 - 1. assign V325053 = V883776 - 1. assign V184383 = V361677 - 1. assign V921309 = V369162 - 1. assign V979251 = V892485. assign V255940 = V092597. assign V219886 = V622008. assign V721206 = V299657 - 1. assign V114535 = V572235 - 1. assign V383998 = V728955 - 1. assign V252540 = 5. assign V465141 = V568202 - 1. assign V299657 = V183567 - 1. assign V696543 = V023480 - 1. assign V049756 = V966743 + 1. assign V544332 = V111679. assign V620572 = V155311 + 1. assign V002447 = V923498. assign V145470 = V839906 + 1. assign V643954 = V852234 - 1. assign V479232 = V746398. assign V474363 = V615465 - 1. assign V374174 = V615465 - 1. assign V622008 = V079279 + 1. assign V964149 = V288192. assign V461047 = V568202 - 1. assign V609134 = V174967 + 1. assign V056421 = V288192 - 1. assign V898167 = V037180 + 1. assign V726737 = V453028. assign V578043 = V124421. assign V910267 = V175109. assign V020671 = V568202. assign V709871 = V066751 - 1. assign V891106 = V798490 - 1. assign V014105 = V361677 + 1. assign V309642 = V102235 - 1. assign V568202 = V883776. assign V346779 = V252540 - 1. assign V622299 = V925397 + 1. assign V471924 = V037180 - 1. assign V923058 = V002447. assign V102235 = V910267 - 1. assign V547280 = V620572. assign V090519 = V903982. assign V334911 = V785816 - 1. assign V728955 = V453028 - 1. assign V155311 = V369162 - 1. assign V903982 = V165340 + 1. assign V036419 = V785816 - 1. assign V455813 = V733871. assign V762801 = V183567 - 1. assign V124421 = V102235 - 1. assign V111679 = V898167 - 1. assign V453028 = V785816. assign V174967 = V288192 + 1. assign V847217 = V862048 - 1. assign V094980 = V762801 + 1. assign V295523 = V066751 - 1. assign V529066 = V759617 - 1. assign V730731 = V567682. assign V785816 = V056421. assign V360254 = V309642 + 1. assign V350981 = V862048 - 1. assign V088893 = V111679. assign V251631 = V599281 - 1. assign V642011 = V966743 - 1. assign V802698 = V369162 - 1. assign V918441 = V883776. assign V044833 = V860062 + 1. assign V391985 = V883776 + 1. assign V341540 = V056421 - 1. assign V079279 = V037180 - 1. assign V039921 = V898167 + 1. assign V323742 = V037180 + 1. assign V035926 = V622008. assign V493462 = V532463. assign V892485 = V852234 - 1. assign V070777 = V726737 - 1. assign V140263 = V145470 + 1. assign V862048 = V175109 - 1. assign V037180 = V183567 + 1. assign V269046 = V195742 - 1. assign V165340 = V369162 - 1. assign V043288 = V529066 - 1. assign V865968 = V742372 + 1. assign V923498 = V992902. assign V474710 = V759617 - 1. assign V302042 = V973445 - 1. assign V339319 = V165340 - 1. assign V572235 = V677701. assign V966743 = V079279 - 1. assign V599281 = V153760 - 1. assign V195742 = V219886 + 1. assign V999276 = V568202 - 1. assign V798490 = V721206. assign V883776 = V369162 + 1. assign V098809 = V497586. assign V610880 = V862048 + 1. assign V722747 = V468187 + 1. assign V482113 = V131209 - 1. assign V529483 = V165340 - 1. assign V758303 = V153760 - 1. assign V468187 = V854378. assign V239295 = V153760 + 1. assign V654615 = V299657 + 1. assign V497586 = V203634 + 1. assign V570871 = V391985 - 1. assign V560266 = V468187. assign V322143 = V350981. assign V615465 = V037180 + 1. assign V415680 = V288192 + 1. assign V203634 = V175109 - 1. assign V368048 = V219886. assign V480146 = V309642 - 1. assign V992265 = V471924. assign V199135 = V323742 - 1. assign V839906 = V037180 + 1. assign V664465 = V094980. assign V450128 = V910267. assign V384477 = V733871 - 1. assign V175109 = V299657 - 1. assign V189313 = V479232 + 1. assign V272700 = V820599 - 1. assign V577225 = V145470 - 1. assign V288192 = V852234 + 1. assign V746398 = V369162 - 1. assign V361677 = V664465 + 1. assign V810286 = V883776. assign V529577 = V654615 + 1. assign V742372 = V299657 + 1. assign V519323 = V124421 + 1. assign V820599 = V474710. assign V260445 = V251631 + 1. assign V852234 = V299657. assign V092597 = V056421. assign V903226 = V910267 - 1. assign V854378 = V288192 - 1. assign V780743 = V697400. assign V066751 = V288192. assign V992902 = V643954 - 1. assign V023480 = V798490. assign V410216 = V544332 - 1. assign V860062 = V288192. assign V452663 = V733871. assign V395348 = V360254 + 1. assign V877664 = V036419 + 1. assign V457904 = V903982. assign V323721 = V903982 + 1. assign V333953 = V529066 + 1. assign V130556 = V043007 - 1. assign V103056 = V820599 - 1. assign V905991 = V334911. assign V551956 = V111679 + 1. assign V131209 = V036419. assign V116178 = V203634 + 1. assign V697400 = V862048 - 1. assign V925397 = V759617 + 1. assign V918766 = V323742 - 1. assign V973445 = V111679. assign V574180 = V721206. assign V982342 = V155311 + 1. assign V733871 = V615465. assign V043007 = V854378. assign V677701 = V391985. assign V153760 = V102235 - 1. assign V436005 = V780743 - 1. assign V369162 = V898167 + 1. assign V223044 = V910267. assign V532463 = V910267 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV252540 = 5;\n\nFrom these direct assignment(s), we have: \nV346779 = V252540 - 1 = 5 - 1 =4;\nNo other variables can be derived from V346779;\nNo other variables can be derived from V252540;\n\nNow we have done all the calculations. Derived variables are:\nV252540 = 5;\nV346779 = 4;\n\nNow we have finished this problem. ANSWER:\nV346779\n", "role": "assistant" } ]

[ "V936165", "V355813" ]

[ { "content": "<context>\nassign V270969 = V389812 - 1. assign V537977 = V735194 + 1. assign V703272 = V486153 + 1. assign V722677 = V105012 + 1. assign V304041 = V043022 - 1. assign V839322 = V913247 - 1. assign V382648 = V410857 - 1. assign V369054 = V537977. assign V928556 = V092849. assign V816979 = V883729 - 1. assign V171276 = V960798 + 1. assign V521250 = V041737 + 1. assign V346476 = V074331 - 1. assign V506244 = V054691 + 1. assign V883729 = V736701 - 1. assign V686859 = V033973. assign V578375 = V172270 + 1. assign V073814 = V867790 - 1. assign V603392 = V854998 - 1. assign V087673 = V092849 + 1. assign V198824 = V043022 + 1. assign V936165 = 3. assign V539095 = V172270 + 1. assign V510977 = V043022 - 1. assign V500714 = V789276 - 1. assign V208930 = V451079 - 1. assign V840386 = V578375. assign V789276 = V855334 + 1. assign V050934 = V573972. assign V320747 = V029617 - 1. assign V037870 = V855334 - 1. assign V043022 = V397240 - 1. assign V986578 = V208930. assign V630131 = V899039. assign V431337 = V851276 - 1. assign V774738 = V270969 + 1. assign V253538 = V953774 + 1. assign V696054 = V486153 - 1. assign V478484 = V341145 + 1. assign V983721 = V472796 - 1. assign V472796 = V451079. assign V519572 = V722677 + 1. assign V184991 = V397240 - 1. assign V451079 = V397240 - 1. assign V854998 = V080359 + 1. assign V322217 = V735194 + 1. assign V054691 = V118695 - 1. assign V964892 = V341145 + 1. assign V934945 = V196640 + 1. assign V829956 = V315049 + 1. assign V692091 = V690521 + 1. assign V884903 = V080359 - 1. assign V080359 = V187838 + 1. assign V247519 = V118695. assign V538029 = V612710 + 1. assign V453757 = V960798 + 1. assign V992806 = V928556 - 1. assign V998835 = V901790. assign V315049 = V172270 + 1. assign V763375 = V369054. assign V851276 = V811035 - 1. assign V855334 = V451079 - 1. assign V196640 = V735194 - 1. assign V869923 = V578375 - 1. assign V080631 = V781326. assign V890520 = V578375 + 1. assign V735194 = V899039. assign V391924 = V634505 - 1. assign V093121 = V043022 - 1. assign V736701 = V043022 - 1. assign V190647 = V500714. assign V710389 = V811035 - 1. assign V936577 = V949778 + 1. assign V965818 = V181173 + 1. assign V178105 = V478484 + 1. assign V912824 = V451079. assign V276179 = V634505. assign V266299 = V890520. assign V135698 = V510977 + 1. assign V432358 = V346217 + 1. assign V811035 = V397240 - 1. assign V600372 = V851276 + 1. assign V904519 = V735194. assign V672948 = V983721 - 1. assign V332419 = V696054 + 1. assign V765656 = V855334. assign V939956 = V432358. assign V802291 = V253538 - 1. assign V118695 = V148357 + 1. assign V514490 = V904519 + 1. assign V690521 = V514452 + 1. assign V653019 = V855334 + 1. assign V029617 = V840386 - 1. assign V317455 = V953774. assign V781326 = V172270 - 1. assign V074331 = V451079 + 1. assign V634505 = V451079 - 1. assign V211886 = V829956 - 1. assign V081644 = V910204. assign V431155 = V735194 + 1. assign V564458 = V322250 + 1. assign V910204 = V491598 + 1. assign V858048 = V148357 + 1. assign V949778 = V181173 - 1. assign V076555 = V253538 + 1. assign V866244 = V338232. assign V149179 = V765656 - 1. assign V265809 = V710389 - 1. assign V181173 = V333492. assign V953774 = V184991 - 1. assign V867790 = V302984 - 1. assign V142612 = V506244 - 1. assign V041737 = V333492 + 1. assign V551494 = V355850 + 1. assign V410857 = V811035 - 1. assign V762381 = V149179 - 1. assign V389812 = V181173. assign V899039 = V811035 + 1. assign V408952 = V883729 - 1. assign V012049 = V341145 + 1. assign V752871 = V472796. assign V796786 = V029617 - 1. assign V943722 = V964892. assign V590404 = V333492. assign V708963 = V184991 + 1. assign V164037 = V198824 - 1. assign V275805 = V178105 + 1. assign V092849 = V811035 - 1. assign V592990 = V187838. assign V172270 = V431155 - 1. assign V491598 = V102994 + 1. assign V066556 = V148357 - 1. assign V486153 = V912824 - 1. assign V644006 = V692091. assign V346217 = V910204 + 1. assign V322250 = V855334 - 1. assign V742124 = V135698 + 1. assign V948026 = V811035 + 1. assign V900872 = V644006 + 1. assign V498784 = V789276. assign V901790 = V899039 - 1. assign V355813 = V936165. assign V102994 = V092849. assign V328294 = V514452. assign V692112 = V498784. assign V514452 = V953774 + 1. assign V302984 = V397240 - 1. assign V174134 = V266299 - 1. assign V033973 = V472796 - 1. assign V341145 = V410857 + 1. assign V030689 = V148357 - 1. assign V900410 = V302984 + 1. assign V345209 = V992806 - 1. assign V913247 = V514452. assign V260940 = V992806 + 1. assign V424004 = V692112. assign V684174 = V953774 - 1. assign V693466 = V789276. assign V002619 = V708963. assign V355850 = V498784 - 1. assign V117295 = V964892. assign V960798 = V397240 + 1. assign V338232 = V765656 + 1. assign V573972 = V332419 + 1. assign V612710 = V901790 - 1. assign V148357 = V431155 + 1. assign V763791 = V102994 + 1. assign V333492 = V899039 - 1. assign V733737 = V901790. assign V105012 = V765656 - 1. assign V961072 = V355850 + 1. assign V187838 = V500714.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V270969 = V389812 - 1. assign V537977 = V735194 + 1. assign V703272 = V486153 + 1. assign V722677 = V105012 + 1. assign V304041 = V043022 - 1. assign V839322 = V913247 - 1. assign V382648 = V410857 - 1. assign V369054 = V537977. assign V928556 = V092849. assign V816979 = V883729 - 1. assign V171276 = V960798 + 1. assign V521250 = V041737 + 1. assign V346476 = V074331 - 1. assign V506244 = V054691 + 1. assign V883729 = V736701 - 1. assign V686859 = V033973. assign V578375 = V172270 + 1. assign V073814 = V867790 - 1. assign V603392 = V854998 - 1. assign V087673 = V092849 + 1. assign V198824 = V043022 + 1. assign V936165 = 3. assign V539095 = V172270 + 1. assign V510977 = V043022 - 1. assign V500714 = V789276 - 1. assign V208930 = V451079 - 1. assign V840386 = V578375. assign V789276 = V855334 + 1. assign V050934 = V573972. assign V320747 = V029617 - 1. assign V037870 = V855334 - 1. assign V043022 = V397240 - 1. assign V986578 = V208930. assign V630131 = V899039. assign V431337 = V851276 - 1. assign V774738 = V270969 + 1. assign V253538 = V953774 + 1. assign V696054 = V486153 - 1. assign V478484 = V341145 + 1. assign V983721 = V472796 - 1. assign V472796 = V451079. assign V519572 = V722677 + 1. assign V184991 = V397240 - 1. assign V451079 = V397240 - 1. assign V854998 = V080359 + 1. assign V322217 = V735194 + 1. assign V054691 = V118695 - 1. assign V964892 = V341145 + 1. assign V934945 = V196640 + 1. assign V829956 = V315049 + 1. assign V692091 = V690521 + 1. assign V884903 = V080359 - 1. assign V080359 = V187838 + 1. assign V247519 = V118695. assign V538029 = V612710 + 1. assign V453757 = V960798 + 1. assign V992806 = V928556 - 1. assign V998835 = V901790. assign V315049 = V172270 + 1. assign V763375 = V369054. assign V851276 = V811035 - 1. assign V855334 = V451079 - 1. assign V196640 = V735194 - 1. assign V869923 = V578375 - 1. assign V080631 = V781326. assign V890520 = V578375 + 1. assign V735194 = V899039. assign V391924 = V634505 - 1. assign V093121 = V043022 - 1. assign V736701 = V043022 - 1. assign V190647 = V500714. assign V710389 = V811035 - 1. assign V936577 = V949778 + 1. assign V965818 = V181173 + 1. assign V178105 = V478484 + 1. assign V912824 = V451079. assign V276179 = V634505. assign V266299 = V890520. assign V135698 = V510977 + 1. assign V432358 = V346217 + 1. assign V811035 = V397240 - 1. assign V600372 = V851276 + 1. assign V904519 = V735194. assign V672948 = V983721 - 1. assign V332419 = V696054 + 1. assign V765656 = V855334. assign V939956 = V432358. assign V802291 = V253538 - 1. assign V118695 = V148357 + 1. assign V514490 = V904519 + 1. assign V690521 = V514452 + 1. assign V653019 = V855334 + 1. assign V029617 = V840386 - 1. assign V317455 = V953774. assign V781326 = V172270 - 1. assign V074331 = V451079 + 1. assign V634505 = V451079 - 1. assign V211886 = V829956 - 1. assign V081644 = V910204. assign V431155 = V735194 + 1. assign V564458 = V322250 + 1. assign V910204 = V491598 + 1. assign V858048 = V148357 + 1. assign V949778 = V181173 - 1. assign V076555 = V253538 + 1. assign V866244 = V338232. assign V149179 = V765656 - 1. assign V265809 = V710389 - 1. assign V181173 = V333492. assign V953774 = V184991 - 1. assign V867790 = V302984 - 1. assign V142612 = V506244 - 1. assign V041737 = V333492 + 1. assign V551494 = V355850 + 1. assign V410857 = V811035 - 1. assign V762381 = V149179 - 1. assign V389812 = V181173. assign V899039 = V811035 + 1. assign V408952 = V883729 - 1. assign V012049 = V341145 + 1. assign V752871 = V472796. assign V796786 = V029617 - 1. assign V943722 = V964892. assign V590404 = V333492. assign V708963 = V184991 + 1. assign V164037 = V198824 - 1. assign V275805 = V178105 + 1. assign V092849 = V811035 - 1. assign V592990 = V187838. assign V172270 = V431155 - 1. assign V491598 = V102994 + 1. assign V066556 = V148357 - 1. assign V486153 = V912824 - 1. assign V644006 = V692091. assign V346217 = V910204 + 1. assign V322250 = V855334 - 1. assign V742124 = V135698 + 1. assign V948026 = V811035 + 1. assign V900872 = V644006 + 1. assign V498784 = V789276. assign V901790 = V899039 - 1. assign V355813 = V936165. assign V102994 = V092849. assign V328294 = V514452. assign V692112 = V498784. assign V514452 = V953774 + 1. assign V302984 = V397240 - 1. assign V174134 = V266299 - 1. assign V033973 = V472796 - 1. assign V341145 = V410857 + 1. assign V030689 = V148357 - 1. assign V900410 = V302984 + 1. assign V345209 = V992806 - 1. assign V913247 = V514452. assign V260940 = V992806 + 1. assign V424004 = V692112. assign V684174 = V953774 - 1. assign V693466 = V789276. assign V002619 = V708963. assign V355850 = V498784 - 1. assign V117295 = V964892. assign V960798 = V397240 + 1. assign V338232 = V765656 + 1. assign V573972 = V332419 + 1. assign V612710 = V901790 - 1. assign V148357 = V431155 + 1. assign V763791 = V102994 + 1. assign V333492 = V899039 - 1. assign V733737 = V901790. assign V105012 = V765656 - 1. assign V961072 = V355850 + 1. assign V187838 = V500714.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV936165 = 3;\n\nFrom these direct assignment(s), we have: \nV355813 = V936165 = 3;\nNo other variables can be derived from V355813;\nNo other variables can be derived from V936165;\n\nNow we have done all the calculations. Derived variables are:\nV936165 = 3;\nV355813 = 3;\n\nNow we have finished this problem. ANSWER:\nV936165, V355813\n", "role": "assistant" } ]

[ "V392414" ]

[ { "content": "<context>\nassign V413932 = V662184. assign V290703 = V981753 + 1. assign V075052 = V731801 + 1. assign V731801 = V523190 - 1. assign V686102 = V493273. assign V196680 = V167339. assign V186930 = V706497 + 1. assign V026644 = V573172. assign V483713 = V735853. assign V891998 = V474499 - 1. assign V914603 = V652051 - 1. assign V711942 = V404428 + 1. assign V228859 = V483713 + 1. assign V974692 = V075052 + 1. assign V829643 = V551025 - 1. assign V437400 = V829643 - 1. assign V030258 = V419077. assign V870264 = V635422. assign V419077 = V512205. assign V404058 = V793844. assign V556437 = V050799 - 1. assign V894347 = V815220. assign V699393 = V166093 + 1. assign V411311 = V695400 - 1. assign V648829 = V068992. assign V568167 = V228859 + 1. assign V548516 = V691251 - 1. assign V280047 = V404058 - 1. assign V463196 = V125365. assign V013987 = V030258 + 1. assign V735853 = V274611 + 1. assign V254435 = V392414 - 1. assign V965962 = V935551 - 1. assign V947663 = V551025. assign V165028 = V595378 - 1. assign V877099 = V998493. assign V536318 = V624291. assign V439165 = V523190. assign V457066 = V512205 - 1. assign V474103 = V744003. assign V003336 = V419077 + 1. assign V049660 = V474499. assign V547114 = V125365. assign V892398 = V125365. assign V083928 = V666679 - 1. assign V815220 = V486841 + 1. assign V927136 = V166093 - 1. assign V414463 = V274611 - 1. assign V909350 = V793844. assign V015795 = V404058 + 1. assign V770064 = V512205 - 1. assign V493273 = V486841 + 1. assign V935551 = V307187 - 1. assign V973029 = V731801 - 1. assign V307187 = V512205 + 1. assign V469166 = V049660 + 1. assign V917810 = V228859 - 1. assign V308190 = V648829. assign V546841 = V203777. assign V515071 = V947663 - 1. assign V998493 = V865914 - 1. assign V636199 = V458831 - 1. assign V651862 = V439165. assign V297195 = V064667 + 1. assign V486841 = V877099 - 1. assign V706497 = V646938. assign V981753 = V711942 + 1. assign V032191 = V038809. assign V422725 = V512205 - 1. assign V762480 = V030258 - 1. assign V035265 = V829643 - 1. assign V845423 = V247338. assign V064667 = V307187 - 1. assign V991721 = V793844. assign V927857 = V909350 - 1. assign V595378 = V877099 - 1. assign V210045 = V980812 + 1. assign V196261 = V939108. assign V031631 = V274611. assign V980812 = V998493 - 1. assign V551025 = V439165. assign V383001 = V512205 + 1. assign V415783 = V745785 - 1. assign V793844 = V512205 + 1. assign V455915 = V651862 - 1. assign V131811 = V483713 - 1. assign V592249 = V695400 + 1. assign V397308 = V674173. assign V038809 = V815220 - 1. assign V228982 = V274611 + 1. assign V020307 = V268346. assign V677991 = V546841 + 1. assign V125365 = V595378 + 1. assign V656571 = V998493 + 1. assign V198140 = V891998 + 1. assign V297500 = V474499. assign V245720 = V662184 - 1. assign V632932 = V075052 - 1. assign V704280 = V624291 + 1. assign V627757 = V706497. assign V166093 = V532553 - 1. assign V747386 = V635422 - 1. assign V503586 = V735853 + 1. assign V392414 = 1. assign V834621 = V474499 + 1. assign V523190 = V998493 - 1. assign V068992 = V624291. assign V413398 = V020307 - 1. assign V203777 = V666679 + 1. assign V556352 = V793844. assign V666679 = V204030 + 1. assign V063781 = V892398 + 1. assign V805169 = V307187 - 1. assign V322648 = V068992 - 1. assign V705922 = V686102. assign V044687 = V927136 + 1. assign V695400 = V357056 - 1. assign V885187 = V131811. assign V401457 = V483713 + 1. assign V728933 = V731801. assign V691251 = V512205 - 1. assign V515435 = V656300 + 1. assign V652051 = V735853 - 1. assign V512205 = V877099. assign V400764 = V411311 - 1. assign V279786 = V666679. assign V522442 = V648829. assign V674173 = V731801 + 1. assign V241367 = V666679. assign V204030 = V523190 + 1. assign V050799 = V414463 - 1. assign V656300 = V457066. assign V247338 = V963518 - 1. assign V939108 = V196680 + 1. assign V532553 = V204030 + 1. assign V418333 = V891998 + 1. assign V179419 = V075052 + 1. assign V167339 = V512205 - 1. assign V941440 = V704280 - 1. assign V620834 = V210045 - 1. assign V009476 = V131811. assign V584815 = V322648 + 1. assign V404428 = V892398 - 1. assign V543345 = V196680 + 1. assign V418753 = V474499 + 1. assign V189727 = V308190 + 1. assign V635422 = V595378 + 1. assign V993874 = V706497. assign V357056 = V701330 + 1. assign V973057 = V474499 - 1. assign V814577 = V793844 + 1. assign V745785 = V998493 + 1. assign V717912 = V131811 + 1. assign V274611 = V865914. assign V268346 = V662184. assign V496862 = V556437. assign V970582 = V548516 - 1. assign V624291 = V793844 - 1. assign V963518 = V383001. assign V458932 = V573172. assign V830741 = V648829 + 1. assign V744003 = V998493. assign V646938 = V624291. assign V662184 = V419077 - 1. assign V573172 = V877099 - 1. assign V639856 = V947663. assign V682029 = V418333 - 1. assign V474499 = V731801. assign V701330 = V383001. assign V458831 = V457066. assign V596454 = V166093 + 1. assign V658569 = V674173.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V413932 = V662184. assign V290703 = V981753 + 1. assign V075052 = V731801 + 1. assign V731801 = V523190 - 1. assign V686102 = V493273. assign V196680 = V167339. assign V186930 = V706497 + 1. assign V026644 = V573172. assign V483713 = V735853. assign V891998 = V474499 - 1. assign V914603 = V652051 - 1. assign V711942 = V404428 + 1. assign V228859 = V483713 + 1. assign V974692 = V075052 + 1. assign V829643 = V551025 - 1. assign V437400 = V829643 - 1. assign V030258 = V419077. assign V870264 = V635422. assign V419077 = V512205. assign V404058 = V793844. assign V556437 = V050799 - 1. assign V894347 = V815220. assign V699393 = V166093 + 1. assign V411311 = V695400 - 1. assign V648829 = V068992. assign V568167 = V228859 + 1. assign V548516 = V691251 - 1. assign V280047 = V404058 - 1. assign V463196 = V125365. assign V013987 = V030258 + 1. assign V735853 = V274611 + 1. assign V254435 = V392414 - 1. assign V965962 = V935551 - 1. assign V947663 = V551025. assign V165028 = V595378 - 1. assign V877099 = V998493. assign V536318 = V624291. assign V439165 = V523190. assign V457066 = V512205 - 1. assign V474103 = V744003. assign V003336 = V419077 + 1. assign V049660 = V474499. assign V547114 = V125365. assign V892398 = V125365. assign V083928 = V666679 - 1. assign V815220 = V486841 + 1. assign V927136 = V166093 - 1. assign V414463 = V274611 - 1. assign V909350 = V793844. assign V015795 = V404058 + 1. assign V770064 = V512205 - 1. assign V493273 = V486841 + 1. assign V935551 = V307187 - 1. assign V973029 = V731801 - 1. assign V307187 = V512205 + 1. assign V469166 = V049660 + 1. assign V917810 = V228859 - 1. assign V308190 = V648829. assign V546841 = V203777. assign V515071 = V947663 - 1. assign V998493 = V865914 - 1. assign V636199 = V458831 - 1. assign V651862 = V439165. assign V297195 = V064667 + 1. assign V486841 = V877099 - 1. assign V706497 = V646938. assign V981753 = V711942 + 1. assign V032191 = V038809. assign V422725 = V512205 - 1. assign V762480 = V030258 - 1. assign V035265 = V829643 - 1. assign V845423 = V247338. assign V064667 = V307187 - 1. assign V991721 = V793844. assign V927857 = V909350 - 1. assign V595378 = V877099 - 1. assign V210045 = V980812 + 1. assign V196261 = V939108. assign V031631 = V274611. assign V980812 = V998493 - 1. assign V551025 = V439165. assign V383001 = V512205 + 1. assign V415783 = V745785 - 1. assign V793844 = V512205 + 1. assign V455915 = V651862 - 1. assign V131811 = V483713 - 1. assign V592249 = V695400 + 1. assign V397308 = V674173. assign V038809 = V815220 - 1. assign V228982 = V274611 + 1. assign V020307 = V268346. assign V677991 = V546841 + 1. assign V125365 = V595378 + 1. assign V656571 = V998493 + 1. assign V198140 = V891998 + 1. assign V297500 = V474499. assign V245720 = V662184 - 1. assign V632932 = V075052 - 1. assign V704280 = V624291 + 1. assign V627757 = V706497. assign V166093 = V532553 - 1. assign V747386 = V635422 - 1. assign V503586 = V735853 + 1. assign V392414 = 1. assign V834621 = V474499 + 1. assign V523190 = V998493 - 1. assign V068992 = V624291. assign V413398 = V020307 - 1. assign V203777 = V666679 + 1. assign V556352 = V793844. assign V666679 = V204030 + 1. assign V063781 = V892398 + 1. assign V805169 = V307187 - 1. assign V322648 = V068992 - 1. assign V705922 = V686102. assign V044687 = V927136 + 1. assign V695400 = V357056 - 1. assign V885187 = V131811. assign V401457 = V483713 + 1. assign V728933 = V731801. assign V691251 = V512205 - 1. assign V515435 = V656300 + 1. assign V652051 = V735853 - 1. assign V512205 = V877099. assign V400764 = V411311 - 1. assign V279786 = V666679. assign V522442 = V648829. assign V674173 = V731801 + 1. assign V241367 = V666679. assign V204030 = V523190 + 1. assign V050799 = V414463 - 1. assign V656300 = V457066. assign V247338 = V963518 - 1. assign V939108 = V196680 + 1. assign V532553 = V204030 + 1. assign V418333 = V891998 + 1. assign V179419 = V075052 + 1. assign V167339 = V512205 - 1. assign V941440 = V704280 - 1. assign V620834 = V210045 - 1. assign V009476 = V131811. assign V584815 = V322648 + 1. assign V404428 = V892398 - 1. assign V543345 = V196680 + 1. assign V418753 = V474499 + 1. assign V189727 = V308190 + 1. assign V635422 = V595378 + 1. assign V993874 = V706497. assign V357056 = V701330 + 1. assign V973057 = V474499 - 1. assign V814577 = V793844 + 1. assign V745785 = V998493 + 1. assign V717912 = V131811 + 1. assign V274611 = V865914. assign V268346 = V662184. assign V496862 = V556437. assign V970582 = V548516 - 1. assign V624291 = V793844 - 1. assign V963518 = V383001. assign V458932 = V573172. assign V830741 = V648829 + 1. assign V744003 = V998493. assign V646938 = V624291. assign V662184 = V419077 - 1. assign V573172 = V877099 - 1. assign V639856 = V947663. assign V682029 = V418333 - 1. assign V474499 = V731801. assign V701330 = V383001. assign V458831 = V457066. assign V596454 = V166093 + 1. assign V658569 = V674173.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV392414 = 1;\n\nFrom these direct assignment(s), we have: \nV254435 = V392414 - 1 = 1 - 1 =0;\nNo other variables can be derived from V254435;\nNo other variables can be derived from V392414;\n\nNow we have done all the calculations. Derived variables are:\nV392414 = 1;\nV254435 = 0;\n\nNow we have finished this problem. ANSWER:\nV392414\n", "role": "assistant" } ]

[ "V487217" ]

[ { "content": "<context>\nassign V215765 = V569499. assign V168180 = V001959 + 1. assign V216432 = V150340. assign V921776 = V742793 + 1. assign V374256 = V642735 - 1. assign V654843 = V905484. assign V766249 = V626656. assign V482165 = V534895 + 1. assign V916332 = V421994 + 1. assign V774588 = V970317 + 1. assign V198692 = V833114 - 1. assign V626801 = V427929 + 1. assign V268798 = V028868. assign V637245 = V921776. assign V057255 = V464226 - 1. assign V421994 = V710320. assign V105003 = V057255. assign V970792 = V002051. assign V966230 = V970317 + 1. assign V443774 = V049847. assign V998078 = V502465 + 1. assign V557709 = V560773 - 1. assign V473621 = V376783 + 1. assign V916970 = V646686 + 1. assign V645043 = V335945 - 1. assign V288813 = V945081 - 1. assign V929789 = V900792 + 1. assign V008557 = V042692. assign V502465 = V105003. assign V273717 = V164935 - 1. assign V172634 = V976313. assign V035196 = V595702 + 1. assign V614062 = V153157 - 1. assign V096462 = V921776 + 1. assign V798730 = V905484 - 1. assign V427929 = V901655 + 1. assign V042237 = V421994 - 1. assign V840791 = V908978. assign V682645 = V905484 - 1. assign V945081 = V945772. assign V595702 = V070361 + 1. assign V081221 = V595702 - 1. assign V340761 = V153157 + 1. assign V905484 = V421994 + 1. assign V642330 = V710320 + 1. assign V290287 = V966230 + 1. assign V929652 = V212506. assign V888927 = V710320 + 1. assign V063410 = V710320 + 1. assign V002051 = V189004. assign V515914 = V700490. assign V851442 = V534895 - 1. assign V901655 = V646774 - 1. assign V607248 = V790806 + 1. assign V833114 = V464226 + 1. assign V864099 = V168180 - 1. assign V775481 = V646774 + 1. assign V706150 = V464226. assign V658825 = V121951 - 1. assign V212506 = V464226 + 1. assign V237450 = V070361 + 1. assign V801945 = V845540 - 1. assign V164935 = V970317. assign V701427 = V534895 - 1. assign V166602 = V046591 + 1. assign V372566 = V049847 - 1. assign V875089 = V502465 + 1. assign V976313 = V216432 - 1. assign V158849 = V035037 + 1. assign V654522 = V246515 + 1. assign V950814 = V790806. assign V970317 = V035037 - 1. assign V042692 = V028639 + 1. assign V028868 = V049847 - 1. assign V234873 = V001959. assign V014243 = V606873. assign V412521 = V790806. assign V257991 = V057255 + 1. assign V376783 = V840791. assign V049847 = V908978 + 1. assign V070361 = V464226 + 1. assign V969291 = V150892 + 1. assign V606873 = V049847. assign V960845 = V668962 - 1. assign V028786 = V035037. assign V617639 = V976313 - 1. assign V150340 = V452482. assign V600703 = V729382 + 1. assign V375083 = V840791 - 1. assign V561327 = V178800. assign V168079 = V702631 - 1. assign V232622 = V668962 - 1. assign V995597 = 7. assign V048109 = V028639. assign V380109 = V111971 + 1. assign V575217 = V929652. assign V194890 = V496823 + 1. assign V035037 = V121951 + 1. assign V112257 = V905484. assign V121951 = V452482. assign V702631 = V646774. assign V790806 = V049847 + 1. assign V255659 = V991892 + 1. assign V725089 = V908978 - 1. assign V150892 = V452482. assign V101374 = V646774 + 1. assign V850459 = V502465 - 1. assign V945772 = V790806 - 1. assign V057489 = V561327 + 1. assign V360928 = V001959. assign V534895 = V908978 - 1. assign V857226 = V150892 + 1. assign V043960 = V216432 - 1. assign V501019 = V668266 + 1. assign V689291 = V751303 + 1. assign V335945 = V153157 + 1. assign V569499 = V288813 + 1. assign V751303 = V575217 + 1. assign V912265 = V908978 - 1. assign V376597 = V561327 - 1. assign V496823 = V340761. assign V606295 = V689291. assign V028639 = V774588. assign V668266 = V810220 - 1. assign V646686 = V645043. assign V280124 = V288813. assign V652803 = V246515 - 1. assign V742793 = V845540 - 1. assign V729382 = V864099 - 1. assign V646774 = V057255 + 1. assign V615098 = V668266 - 1. assign V929117 = V105003 + 1. assign V001959 = V534895. assign V769687 = V246515 + 1. assign V241876 = V769687. assign V487217 = V995597 + 1. assign V900792 = V652803. assign V104622 = V857226 - 1. assign V810220 = V595702 - 1. assign V388781 = V049847. assign V189004 = V049847 + 1. assign V999922 = V042237 + 1. assign V167358 = V646774 + 1. assign V727046 = V070361 - 1. assign V936288 = V174847. assign V174847 = V246515 + 1. assign V845540 = V412521 + 1. assign V626656 = V706150 - 1. assign V023145 = V908978 - 1. assign V969659 = V121951 - 1. assign V464226 = V908978 - 1. assign V668962 = V464226. assign V700490 = V710320 - 1. assign V153157 = V189004. assign V246515 = V168180. assign V560773 = V561327 + 1. assign V081578 = V702631 + 1. assign V372887 = V464226 - 1. assign V046591 = V049847 + 1. assign V506616 = V845540 + 1. assign V613103 = V840791 + 1. assign V991892 = V452482. assign V110113 = V929652. assign V178800 = V070361. assign V757037 = V725089 + 1. assign V985367 = V014243 + 1. assign V908978 = V421994. assign V452482 = V057255. assign V953696 = V070361 + 1. assign V111971 = V700490 + 1. assign V642735 = V028868 + 1. assign V068990 = V150892 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V215765 = V569499. assign V168180 = V001959 + 1. assign V216432 = V150340. assign V921776 = V742793 + 1. assign V374256 = V642735 - 1. assign V654843 = V905484. assign V766249 = V626656. assign V482165 = V534895 + 1. assign V916332 = V421994 + 1. assign V774588 = V970317 + 1. assign V198692 = V833114 - 1. assign V626801 = V427929 + 1. assign V268798 = V028868. assign V637245 = V921776. assign V057255 = V464226 - 1. assign V421994 = V710320. assign V105003 = V057255. assign V970792 = V002051. assign V966230 = V970317 + 1. assign V443774 = V049847. assign V998078 = V502465 + 1. assign V557709 = V560773 - 1. assign V473621 = V376783 + 1. assign V916970 = V646686 + 1. assign V645043 = V335945 - 1. assign V288813 = V945081 - 1. assign V929789 = V900792 + 1. assign V008557 = V042692. assign V502465 = V105003. assign V273717 = V164935 - 1. assign V172634 = V976313. assign V035196 = V595702 + 1. assign V614062 = V153157 - 1. assign V096462 = V921776 + 1. assign V798730 = V905484 - 1. assign V427929 = V901655 + 1. assign V042237 = V421994 - 1. assign V840791 = V908978. assign V682645 = V905484 - 1. assign V945081 = V945772. assign V595702 = V070361 + 1. assign V081221 = V595702 - 1. assign V340761 = V153157 + 1. assign V905484 = V421994 + 1. assign V642330 = V710320 + 1. assign V290287 = V966230 + 1. assign V929652 = V212506. assign V888927 = V710320 + 1. assign V063410 = V710320 + 1. assign V002051 = V189004. assign V515914 = V700490. assign V851442 = V534895 - 1. assign V901655 = V646774 - 1. assign V607248 = V790806 + 1. assign V833114 = V464226 + 1. assign V864099 = V168180 - 1. assign V775481 = V646774 + 1. assign V706150 = V464226. assign V658825 = V121951 - 1. assign V212506 = V464226 + 1. assign V237450 = V070361 + 1. assign V801945 = V845540 - 1. assign V164935 = V970317. assign V701427 = V534895 - 1. assign V166602 = V046591 + 1. assign V372566 = V049847 - 1. assign V875089 = V502465 + 1. assign V976313 = V216432 - 1. assign V158849 = V035037 + 1. assign V654522 = V246515 + 1. assign V950814 = V790806. assign V970317 = V035037 - 1. assign V042692 = V028639 + 1. assign V028868 = V049847 - 1. assign V234873 = V001959. assign V014243 = V606873. assign V412521 = V790806. assign V257991 = V057255 + 1. assign V376783 = V840791. assign V049847 = V908978 + 1. assign V070361 = V464226 + 1. assign V969291 = V150892 + 1. assign V606873 = V049847. assign V960845 = V668962 - 1. assign V028786 = V035037. assign V617639 = V976313 - 1. assign V150340 = V452482. assign V600703 = V729382 + 1. assign V375083 = V840791 - 1. assign V561327 = V178800. assign V168079 = V702631 - 1. assign V232622 = V668962 - 1. assign V995597 = 7. assign V048109 = V028639. assign V380109 = V111971 + 1. assign V575217 = V929652. assign V194890 = V496823 + 1. assign V035037 = V121951 + 1. assign V112257 = V905484. assign V121951 = V452482. assign V702631 = V646774. assign V790806 = V049847 + 1. assign V255659 = V991892 + 1. assign V725089 = V908978 - 1. assign V150892 = V452482. assign V101374 = V646774 + 1. assign V850459 = V502465 - 1. assign V945772 = V790806 - 1. assign V057489 = V561327 + 1. assign V360928 = V001959. assign V534895 = V908978 - 1. assign V857226 = V150892 + 1. assign V043960 = V216432 - 1. assign V501019 = V668266 + 1. assign V689291 = V751303 + 1. assign V335945 = V153157 + 1. assign V569499 = V288813 + 1. assign V751303 = V575217 + 1. assign V912265 = V908978 - 1. assign V376597 = V561327 - 1. assign V496823 = V340761. assign V606295 = V689291. assign V028639 = V774588. assign V668266 = V810220 - 1. assign V646686 = V645043. assign V280124 = V288813. assign V652803 = V246515 - 1. assign V742793 = V845540 - 1. assign V729382 = V864099 - 1. assign V646774 = V057255 + 1. assign V615098 = V668266 - 1. assign V929117 = V105003 + 1. assign V001959 = V534895. assign V769687 = V246515 + 1. assign V241876 = V769687. assign V487217 = V995597 + 1. assign V900792 = V652803. assign V104622 = V857226 - 1. assign V810220 = V595702 - 1. assign V388781 = V049847. assign V189004 = V049847 + 1. assign V999922 = V042237 + 1. assign V167358 = V646774 + 1. assign V727046 = V070361 - 1. assign V936288 = V174847. assign V174847 = V246515 + 1. assign V845540 = V412521 + 1. assign V626656 = V706150 - 1. assign V023145 = V908978 - 1. assign V969659 = V121951 - 1. assign V464226 = V908978 - 1. assign V668962 = V464226. assign V700490 = V710320 - 1. assign V153157 = V189004. assign V246515 = V168180. assign V560773 = V561327 + 1. assign V081578 = V702631 + 1. assign V372887 = V464226 - 1. assign V046591 = V049847 + 1. assign V506616 = V845540 + 1. assign V613103 = V840791 + 1. assign V991892 = V452482. assign V110113 = V929652. assign V178800 = V070361. assign V757037 = V725089 + 1. assign V985367 = V014243 + 1. assign V908978 = V421994. assign V452482 = V057255. assign V953696 = V070361 + 1. assign V111971 = V700490 + 1. assign V642735 = V028868 + 1. assign V068990 = V150892 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV995597 = 7;\n\nFrom these direct assignment(s), we have: \nV487217 = V995597 + 1 = 7 + 1 =8;\nNo other variables can be derived from V487217;\nNo other variables can be derived from V995597;\n\nNow we have done all the calculations. Derived variables are:\nV995597 = 7;\nV487217 = 8;\n\nNow we have finished this problem. ANSWER:\nV487217\n", "role": "assistant" } ]

[ "V301777", "V250946" ]

[ { "content": "<context>\nassign V315138 = V472427. assign V535368 = V686934. assign V007055 = V172181 + 1. assign V676942 = V791139 + 1. assign V311164 = V702135 - 1. assign V795950 = V853623 + 1. assign V388950 = V318243 - 1. assign V362779 = V954014 - 1. assign V099784 = V216126 - 1. assign V086302 = V793752. assign V596209 = V697477 - 1. assign V567094 = V673664. assign V301777 = 2. assign V184943 = V072493 + 1. assign V573818 = V496701. assign V764325 = V273490 - 1. assign V074989 = V853623 + 1. assign V115487 = V977424 - 1. assign V783275 = V188576 + 1. assign V314969 = V848020 + 1. assign V744519 = V545513. assign V936689 = V809802 + 1. assign V104393 = V954014 - 1. assign V116197 = V516230 - 1. assign V340067 = V074989 - 1. assign V232826 = V913517. assign V913517 = V303465. assign V337354 = V116787. assign V985814 = V096667 + 1. assign V703301 = V292549. assign V011572 = V703301. assign V906004 = V154321. assign V930398 = V329609 + 1. assign V370743 = V977424. assign V204891 = V581604 + 1. assign V992748 = V913517. assign V429419 = V460345 + 1. assign V673664 = V591710 - 1. assign V168983 = V036190 - 1. assign V366382 = V798366 + 1. assign V408100 = V849117 + 1. assign V216126 = V056193. assign V329609 = V874741 + 1. assign V017770 = V591710 + 1. assign V402119 = V668756 + 1. assign V037368 = V535368 + 1. assign V874741 = V172181 - 1. assign V056193 = V303465. assign V273490 = V303465. assign V383500 = V188576. assign V535450 = V795950 - 1. assign V463991 = V038964 + 1. assign V217217 = V389990 - 1. assign V760699 = V216126. assign V175077 = V387513 - 1. assign V809802 = V853623 - 1. assign V516230 = V056193. assign V591710 = V798366. assign V096667 = V303465 - 1. assign V512050 = V350037. assign V238253 = V010988 - 1. assign V108214 = V496701 + 1. assign V216091 = V701466. assign V867503 = V463991 + 1. assign V472427 = V303465 + 1. assign V318243 = V702135 + 1. assign V602241 = V804843. assign V111853 = V958987. assign V387513 = V314969. assign V350037 = V460345 - 1. assign V172181 = V697477. assign V188576 = V702135. assign V418347 = V781774. assign V695122 = V292549. assign V511967 = V581604 - 1. assign V362784 = V273490 - 1. assign V954014 = V781774. assign V434472 = V853623. assign V036190 = V809802 + 1. assign V275675 = V472427 - 1. assign V348290 = V338149. assign V340824 = V318243. assign V046036 = V867503 - 1. assign V793752 = V781774 + 1. assign V338149 = V807041 - 1. assign V471096 = V634062 - 1. assign V300138 = V931208 - 1. assign V116787 = V104393 - 1. assign V848020 = V853623 - 1. assign V168519 = V096667 - 1. assign V055981 = V596209 + 1. assign V329497 = V798366 - 1. assign V798366 = V314969 + 1. assign V620583 = V697477 + 1. assign V575985 = V314969 + 1. assign V878690 = V275675 - 1. assign V389990 = V362779. assign V655151 = V632141 - 1. assign V632141 = V620583 - 1. assign V010988 = V867085 + 1. assign V175038 = V496701 - 1. assign V697477 = V387513 - 1. assign V029871 = V115487 + 1. assign V613246 = V849117 + 1. assign V038964 = V216126 + 1. assign V292549 = V188576 + 1. assign V581604 = V977424. assign V133191 = V958987 - 1. assign V839206 = V046036 + 1. assign V958987 = V686934 + 1. assign V702135 = V848020 + 1. assign V867085 = V545513 + 1. assign V708162 = V668756 - 1. assign V715282 = V695122 - 1. assign V521600 = V848020 - 1. assign V283073 = V393208. assign V710291 = V913517. assign V983169 = V760699. assign V250946 = V301777. assign V849117 = V848020 - 1. assign V830747 = V311164 - 1. assign V611841 = V708162. assign V807041 = V402119 + 1. assign V701466 = V523925 + 1. assign V977424 = V702135. assign V490390 = V232826 - 1. assign V866550 = V804843 - 1. assign V622172 = V096667 + 1. assign V460345 = V056193 - 1. assign V314709 = V634062. assign V615273 = V535450. assign V668756 = V591710 - 1. assign V413394 = V383500 - 1. assign V931208 = V985814 - 1. assign V781774 = V303465 - 1. assign V975419 = V781774 + 1. assign V935658 = V036190. assign V904350 = V620583 - 1. assign V206944 = V216126 - 1. assign V442165 = V573818 + 1. assign V471742 = V521600. assign V868443 = V573818. assign V686934 = V702135. assign V883701 = V935658 - 1. assign V072493 = V188576. assign V853623 = V303465 + 1. assign V056569 = V983169 + 1. assign V229471 = V283073. assign V063513 = V936689. assign V804843 = V867085 - 1. assign V538591 = V809802 - 1. assign V634062 = V329497 + 1. assign V543262 = V168983 - 1. assign V787198 = V634062. assign V545513 = V708162 + 1. assign V154321 = V115487. assign V899686 = V216126 + 1. assign V414737 = V472427. assign V343891 = V783275 + 1. assign V733953 = V622172. assign V496701 = V314969. assign V393208 = V848020 + 1. assign V737947 = V573818 - 1. assign V969759 = V853623 + 1. assign V791139 = V632141. assign V733156 = V807041. assign V241313 = V985814 - 1. assign V523925 = V104393. assign V790138 = V338149. assign V951978 = V668756. assign V469901 = V133191 - 1. assign V174598 = V275675.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V315138 = V472427. assign V535368 = V686934. assign V007055 = V172181 + 1. assign V676942 = V791139 + 1. assign V311164 = V702135 - 1. assign V795950 = V853623 + 1. assign V388950 = V318243 - 1. assign V362779 = V954014 - 1. assign V099784 = V216126 - 1. assign V086302 = V793752. assign V596209 = V697477 - 1. assign V567094 = V673664. assign V301777 = 2. assign V184943 = V072493 + 1. assign V573818 = V496701. assign V764325 = V273490 - 1. assign V074989 = V853623 + 1. assign V115487 = V977424 - 1. assign V783275 = V188576 + 1. assign V314969 = V848020 + 1. assign V744519 = V545513. assign V936689 = V809802 + 1. assign V104393 = V954014 - 1. assign V116197 = V516230 - 1. assign V340067 = V074989 - 1. assign V232826 = V913517. assign V913517 = V303465. assign V337354 = V116787. assign V985814 = V096667 + 1. assign V703301 = V292549. assign V011572 = V703301. assign V906004 = V154321. assign V930398 = V329609 + 1. assign V370743 = V977424. assign V204891 = V581604 + 1. assign V992748 = V913517. assign V429419 = V460345 + 1. assign V673664 = V591710 - 1. assign V168983 = V036190 - 1. assign V366382 = V798366 + 1. assign V408100 = V849117 + 1. assign V216126 = V056193. assign V329609 = V874741 + 1. assign V017770 = V591710 + 1. assign V402119 = V668756 + 1. assign V037368 = V535368 + 1. assign V874741 = V172181 - 1. assign V056193 = V303465. assign V273490 = V303465. assign V383500 = V188576. assign V535450 = V795950 - 1. assign V463991 = V038964 + 1. assign V217217 = V389990 - 1. assign V760699 = V216126. assign V175077 = V387513 - 1. assign V809802 = V853623 - 1. assign V516230 = V056193. assign V591710 = V798366. assign V096667 = V303465 - 1. assign V512050 = V350037. assign V238253 = V010988 - 1. assign V108214 = V496701 + 1. assign V216091 = V701466. assign V867503 = V463991 + 1. assign V472427 = V303465 + 1. assign V318243 = V702135 + 1. assign V602241 = V804843. assign V111853 = V958987. assign V387513 = V314969. assign V350037 = V460345 - 1. assign V172181 = V697477. assign V188576 = V702135. assign V418347 = V781774. assign V695122 = V292549. assign V511967 = V581604 - 1. assign V362784 = V273490 - 1. assign V954014 = V781774. assign V434472 = V853623. assign V036190 = V809802 + 1. assign V275675 = V472427 - 1. assign V348290 = V338149. assign V340824 = V318243. assign V046036 = V867503 - 1. assign V793752 = V781774 + 1. assign V338149 = V807041 - 1. assign V471096 = V634062 - 1. assign V300138 = V931208 - 1. assign V116787 = V104393 - 1. assign V848020 = V853623 - 1. assign V168519 = V096667 - 1. assign V055981 = V596209 + 1. assign V329497 = V798366 - 1. assign V798366 = V314969 + 1. assign V620583 = V697477 + 1. assign V575985 = V314969 + 1. assign V878690 = V275675 - 1. assign V389990 = V362779. assign V655151 = V632141 - 1. assign V632141 = V620583 - 1. assign V010988 = V867085 + 1. assign V175038 = V496701 - 1. assign V697477 = V387513 - 1. assign V029871 = V115487 + 1. assign V613246 = V849117 + 1. assign V038964 = V216126 + 1. assign V292549 = V188576 + 1. assign V581604 = V977424. assign V133191 = V958987 - 1. assign V839206 = V046036 + 1. assign V958987 = V686934 + 1. assign V702135 = V848020 + 1. assign V867085 = V545513 + 1. assign V708162 = V668756 - 1. assign V715282 = V695122 - 1. assign V521600 = V848020 - 1. assign V283073 = V393208. assign V710291 = V913517. assign V983169 = V760699. assign V250946 = V301777. assign V849117 = V848020 - 1. assign V830747 = V311164 - 1. assign V611841 = V708162. assign V807041 = V402119 + 1. assign V701466 = V523925 + 1. assign V977424 = V702135. assign V490390 = V232826 - 1. assign V866550 = V804843 - 1. assign V622172 = V096667 + 1. assign V460345 = V056193 - 1. assign V314709 = V634062. assign V615273 = V535450. assign V668756 = V591710 - 1. assign V413394 = V383500 - 1. assign V931208 = V985814 - 1. assign V781774 = V303465 - 1. assign V975419 = V781774 + 1. assign V935658 = V036190. assign V904350 = V620583 - 1. assign V206944 = V216126 - 1. assign V442165 = V573818 + 1. assign V471742 = V521600. assign V868443 = V573818. assign V686934 = V702135. assign V883701 = V935658 - 1. assign V072493 = V188576. assign V853623 = V303465 + 1. assign V056569 = V983169 + 1. assign V229471 = V283073. assign V063513 = V936689. assign V804843 = V867085 - 1. assign V538591 = V809802 - 1. assign V634062 = V329497 + 1. assign V543262 = V168983 - 1. assign V787198 = V634062. assign V545513 = V708162 + 1. assign V154321 = V115487. assign V899686 = V216126 + 1. assign V414737 = V472427. assign V343891 = V783275 + 1. assign V733953 = V622172. assign V496701 = V314969. assign V393208 = V848020 + 1. assign V737947 = V573818 - 1. assign V969759 = V853623 + 1. assign V791139 = V632141. assign V733156 = V807041. assign V241313 = V985814 - 1. assign V523925 = V104393. assign V790138 = V338149. assign V951978 = V668756. assign V469901 = V133191 - 1. assign V174598 = V275675.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV301777 = 2;\n\nFrom these direct assignment(s), we have: \nV250946 = V301777 = 2;\nNo other variables can be derived from V250946;\nNo other variables can be derived from V301777;\n\nNow we have done all the calculations. Derived variables are:\nV301777 = 2;\nV250946 = 2;\n\nNow we have finished this problem. ANSWER:\nV301777, V250946\n", "role": "assistant" } ]

[ "V027123" ]

[ { "content": "<context>\nassign V917293 = V321333 + 1. assign V719482 = V886799 + 1. assign V176360 = V790864. assign V758900 = V467045. assign V967049 = V449297 - 1. assign V074724 = V528976. assign V457006 = V488883 - 1. assign V191274 = V524242. assign V107473 = V467045 + 1. assign V810447 = V852035 + 1. assign V960689 = V088576 + 1. assign V476667 = V321333 - 1. assign V019063 = V009875 + 1. assign V034300 = V913927 + 1. assign V229123 = V583819 + 1. assign V039692 = V029572. assign V425134 = V074984 + 1. assign V378376 = V960689. assign V954058 = V136914 + 1. assign V818292 = V998167 - 1. assign V094139 = V811365. assign V632833 = V467045 + 1. assign V528732 = V459371 + 1. assign V883767 = V443985. assign V903118 = V476667 - 1. assign V764610 = V258347 + 1. assign V467045 = V305449 - 1. assign V016846 = V731873 - 1. assign V437769 = V116282 - 1. assign V624898 = V790864. assign V811365 = V111569. assign V472364 = V820143 - 1. assign V488883 = V449297. assign V802568 = V524242 - 1. assign V116282 = V168374 - 1. assign V820143 = V029572. assign V088576 = V917293 - 1. assign V942331 = V954058 - 1. assign V930604 = V592055 + 1. assign V331540 = V998167 + 1. assign V209584 = V029572 - 1. assign V599501 = V802568 + 1. assign V443985 = V165380. assign V029572 = V025253 + 1. assign V552731 = V034680. assign V073138 = V798417 + 1. assign V886258 = V063321 - 1. assign V583819 = V029572. assign V586716 = V592055. assign V475944 = V524242. assign V453633 = V476667 - 1. assign V235448 = V908893 + 1. assign V063321 = V025253 - 1. assign V136119 = V063321 - 1. assign V890901 = V049175 + 1. assign V740636 = V845684 - 1. assign V719673 = V305449 - 1. assign V459371 = V165380 + 1. assign V083270 = V482380 - 1. assign V804492 = V475944 - 1. assign V592055 = V525249. assign V346666 = V790864 + 1. assign V790864 = V028581 + 1. assign V597326 = V731873 - 1. assign V088653 = V632833. assign V913927 = V377079 + 1. assign V377079 = V852035 + 1. assign V523781 = V025253 - 1. assign V118184 = V632833 - 1. assign V856510 = V885291. assign V001245 = V917293 - 1. assign V326809 = V656554 - 1. assign V852035 = V537845 - 1. assign V258347 = V001245 + 1. assign V711319 = V874065. assign V502189 = V016846 - 1. assign V034680 = V282822 - 1. assign V862692 = V525249. assign V007667 = V326809 - 1. assign V864465 = V191274 + 1. assign V798417 = V305449 + 1. assign V845684 = V377079 - 1. assign V028581 = V136119. assign V165380 = V029572 + 1. assign V553429 = V376657 + 1. assign V926375 = V798417 - 1. assign V731873 = V482380 + 1. assign V333899 = V094139. assign V212876 = V829803. assign V040629 = V632833 - 1. assign V483319 = V656554 + 1. assign V060253 = V039692. assign V218239 = V376657. assign V290251 = V798417. assign V456283 = V063321 - 1. assign V136914 = V523781 - 1. assign V137429 = V457006 - 1. assign V302125 = V039692. assign V236833 = V528976. assign V210440 = V165380 + 1. assign V998167 = V719673 - 1. assign V534001 = V136119 + 1. assign V874065 = V094596 - 1. assign V656554 = V802568 + 1. assign V001947 = V055760 + 1. assign V524242 = V731873 + 1. assign V417991 = V845684 + 1. assign V829803 = V456283 - 1. assign V286096 = V282822. assign V417509 = V482380. assign V074984 = V874065. assign V391717 = V592055. assign V886799 = V537845 - 1. assign V207008 = V792399 - 1. assign V111569 = V456283 - 1. assign V908893 = V632833 + 1. assign V114331 = V027123 + 1. assign V021945 = V528976 + 1. assign V180658 = V984795 + 1. assign V863369 = V019063 + 1. assign V775213 = V537845 + 1. assign V055760 = V886799 + 1. assign V245909 = V191274. assign V168374 = V142479. assign V321817 = V845684 - 1. assign V918091 = V502189 - 1. assign V027123 = 5. assign V049175 = V321817 - 1. assign V922906 = V302107. assign V256872 = V236833 - 1. assign V828953 = V760069 + 1. assign V302107 = V029572 + 1. assign V555808 = V321817 + 1. assign V449297 = V482380 + 1. assign V733572 = V016846 + 1. assign V274164 = V165380. assign V094596 = V967049 - 1. assign V935342 = V191274 + 1. assign V681623 = V790864 + 1. assign V009875 = V456283. assign V197242 = V305449 + 1. assign V489962 = V820143 + 1. assign V482380 = V025253 - 1. assign V765968 = V321333 + 1. assign V991902 = V818292. assign V168263 = V852035. assign V758407 = V960689 - 1. assign V282822 = V852035. assign V792399 = V029572 - 1. assign V033078 = V886799 + 1. assign V528976 = V467045 - 1. assign V866340 = V088653 + 1. assign V525249 = V118184 - 1. assign V984795 = V197242 - 1. assign V694263 = V740636 - 1. assign V537845 = V016846 + 1. assign V743298 = V055760 - 1. assign V376657 = V864465 + 1. assign V305449 = V025253 + 1. assign V186656 = V305449 + 1. assign V142479 = V524242 - 1. assign V321333 = V305449 + 1. assign V022937 = V883767. assign V603703 = V391717 + 1. assign V479209 = V136119 - 1. assign V760069 = V088576. assign V792723 = V197242. assign V885291 = V967049 - 1. assign V938927 = V034680 - 1. assign V930829 = V765968 + 1. assign V354126 = V553429. assign V840532 = V476667 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V917293 = V321333 + 1. assign V719482 = V886799 + 1. assign V176360 = V790864. assign V758900 = V467045. assign V967049 = V449297 - 1. assign V074724 = V528976. assign V457006 = V488883 - 1. assign V191274 = V524242. assign V107473 = V467045 + 1. assign V810447 = V852035 + 1. assign V960689 = V088576 + 1. assign V476667 = V321333 - 1. assign V019063 = V009875 + 1. assign V034300 = V913927 + 1. assign V229123 = V583819 + 1. assign V039692 = V029572. assign V425134 = V074984 + 1. assign V378376 = V960689. assign V954058 = V136914 + 1. assign V818292 = V998167 - 1. assign V094139 = V811365. assign V632833 = V467045 + 1. assign V528732 = V459371 + 1. assign V883767 = V443985. assign V903118 = V476667 - 1. assign V764610 = V258347 + 1. assign V467045 = V305449 - 1. assign V016846 = V731873 - 1. assign V437769 = V116282 - 1. assign V624898 = V790864. assign V811365 = V111569. assign V472364 = V820143 - 1. assign V488883 = V449297. assign V802568 = V524242 - 1. assign V116282 = V168374 - 1. assign V820143 = V029572. assign V088576 = V917293 - 1. assign V942331 = V954058 - 1. assign V930604 = V592055 + 1. assign V331540 = V998167 + 1. assign V209584 = V029572 - 1. assign V599501 = V802568 + 1. assign V443985 = V165380. assign V029572 = V025253 + 1. assign V552731 = V034680. assign V073138 = V798417 + 1. assign V886258 = V063321 - 1. assign V583819 = V029572. assign V586716 = V592055. assign V475944 = V524242. assign V453633 = V476667 - 1. assign V235448 = V908893 + 1. assign V063321 = V025253 - 1. assign V136119 = V063321 - 1. assign V890901 = V049175 + 1. assign V740636 = V845684 - 1. assign V719673 = V305449 - 1. assign V459371 = V165380 + 1. assign V083270 = V482380 - 1. assign V804492 = V475944 - 1. assign V592055 = V525249. assign V346666 = V790864 + 1. assign V790864 = V028581 + 1. assign V597326 = V731873 - 1. assign V088653 = V632833. assign V913927 = V377079 + 1. assign V377079 = V852035 + 1. assign V523781 = V025253 - 1. assign V118184 = V632833 - 1. assign V856510 = V885291. assign V001245 = V917293 - 1. assign V326809 = V656554 - 1. assign V852035 = V537845 - 1. assign V258347 = V001245 + 1. assign V711319 = V874065. assign V502189 = V016846 - 1. assign V034680 = V282822 - 1. assign V862692 = V525249. assign V007667 = V326809 - 1. assign V864465 = V191274 + 1. assign V798417 = V305449 + 1. assign V845684 = V377079 - 1. assign V028581 = V136119. assign V165380 = V029572 + 1. assign V553429 = V376657 + 1. assign V926375 = V798417 - 1. assign V731873 = V482380 + 1. assign V333899 = V094139. assign V212876 = V829803. assign V040629 = V632833 - 1. assign V483319 = V656554 + 1. assign V060253 = V039692. assign V218239 = V376657. assign V290251 = V798417. assign V456283 = V063321 - 1. assign V136914 = V523781 - 1. assign V137429 = V457006 - 1. assign V302125 = V039692. assign V236833 = V528976. assign V210440 = V165380 + 1. assign V998167 = V719673 - 1. assign V534001 = V136119 + 1. assign V874065 = V094596 - 1. assign V656554 = V802568 + 1. assign V001947 = V055760 + 1. assign V524242 = V731873 + 1. assign V417991 = V845684 + 1. assign V829803 = V456283 - 1. assign V286096 = V282822. assign V417509 = V482380. assign V074984 = V874065. assign V391717 = V592055. assign V886799 = V537845 - 1. assign V207008 = V792399 - 1. assign V111569 = V456283 - 1. assign V908893 = V632833 + 1. assign V114331 = V027123 + 1. assign V021945 = V528976 + 1. assign V180658 = V984795 + 1. assign V863369 = V019063 + 1. assign V775213 = V537845 + 1. assign V055760 = V886799 + 1. assign V245909 = V191274. assign V168374 = V142479. assign V321817 = V845684 - 1. assign V918091 = V502189 - 1. assign V027123 = 5. assign V049175 = V321817 - 1. assign V922906 = V302107. assign V256872 = V236833 - 1. assign V828953 = V760069 + 1. assign V302107 = V029572 + 1. assign V555808 = V321817 + 1. assign V449297 = V482380 + 1. assign V733572 = V016846 + 1. assign V274164 = V165380. assign V094596 = V967049 - 1. assign V935342 = V191274 + 1. assign V681623 = V790864 + 1. assign V009875 = V456283. assign V197242 = V305449 + 1. assign V489962 = V820143 + 1. assign V482380 = V025253 - 1. assign V765968 = V321333 + 1. assign V991902 = V818292. assign V168263 = V852035. assign V758407 = V960689 - 1. assign V282822 = V852035. assign V792399 = V029572 - 1. assign V033078 = V886799 + 1. assign V528976 = V467045 - 1. assign V866340 = V088653 + 1. assign V525249 = V118184 - 1. assign V984795 = V197242 - 1. assign V694263 = V740636 - 1. assign V537845 = V016846 + 1. assign V743298 = V055760 - 1. assign V376657 = V864465 + 1. assign V305449 = V025253 + 1. assign V186656 = V305449 + 1. assign V142479 = V524242 - 1. assign V321333 = V305449 + 1. assign V022937 = V883767. assign V603703 = V391717 + 1. assign V479209 = V136119 - 1. assign V760069 = V088576. assign V792723 = V197242. assign V885291 = V967049 - 1. assign V938927 = V034680 - 1. assign V930829 = V765968 + 1. assign V354126 = V553429. assign V840532 = V476667 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV027123 = 5;\n\nFrom these direct assignment(s), we have: \nV114331 = V027123 + 1 = 5 + 1 =6;\nNo other variables can be derived from V114331;\nNo other variables can be derived from V027123;\n\nNow we have done all the calculations. Derived variables are:\nV027123 = 5;\nV114331 = 6;\n\nNow we have finished this problem. ANSWER:\nV027123\n", "role": "assistant" } ]

[ "V011950" ]

[ { "content": "<context>\nassign V566385 = V274937. assign V477529 = V686212. assign V579405 = V892591 + 1. assign V864051 = V046334 + 1. assign V902121 = V921652 - 1. assign V128626 = V736543 + 1. assign V230595 = V379235 - 1. assign V794866 = V010706 - 1. assign V260401 = V992310. assign V586943 = V110016. assign V969710 = V880072 - 1. assign V909941 = V274937 + 1. assign V248843 = V829110. assign V025995 = V829110. assign V753868 = V613204 - 1. assign V099433 = V394922. assign V387365 = V189130 + 1. assign V274937 = V309954 - 1. assign V939291 = V110016 - 1. assign V713985 = V329004. assign V844706 = V245016 + 1. assign V368420 = V480186 + 1. assign V444904 = V817872 + 1. assign V748281 = V212468 - 1. assign V731283 = V737481 - 1. assign V057926 = V947554. assign V175269 = V189130. assign V147444 = V258794 - 1. assign V595796 = V158044 - 1. assign V667718 = V188638 + 1. assign V372382 = V450355 - 1. assign V982329 = V921652 + 1. assign V378883 = V857733 - 1. assign V495959 = V448846. assign V549534 = V363919. assign V647791 = V737481. assign V258794 = V785223 + 1. assign V271496 = 2. assign V187052 = V809674 + 1. assign V717510 = V815597 + 1. assign V147642 = V274937 + 1. assign V828856 = V533521. assign V081506 = V290968 + 1. assign V736543 = V158044 - 1. assign V047106 = V297892 - 1. assign V212468 = V815597. assign V056389 = V258794 - 1. assign V100449 = V815597. assign V613204 = V939291. assign V094611 = V450355. assign V448846 = V309954 + 1. assign V957187 = V364334 - 1. assign V073738 = V364334 + 1. assign V369501 = V921652 - 1. assign V844228 = V748281 - 1. assign V010706 = V815597 - 1. assign V364334 = V939291 - 1. assign V857733 = V381172. assign V569989 = V579405 + 1. assign V655252 = V518730 + 1. assign V513288 = V579405. assign V011950 = V271496 + 1. assign V947554 = V212468 - 1. assign V878832 = V640554 - 1. assign V912555 = V988788. assign V051505 = V329004 - 1. assign V289668 = V857733 - 1. assign V644441 = V212468 + 1. assign V963875 = V489824 + 1. assign V403332 = V010706 + 1. assign V887497 = V309954. assign V824340 = V450355. assign V785223 = V381172. assign V640554 = V785223 + 1. assign V254448 = V880072 - 1. assign V329004 = V297892 - 1. assign V027551 = V815597. assign V077428 = V480186. assign V072131 = V921652. assign V957420 = V378883 + 1. assign V379235 = V579405 + 1. assign V067309 = V947554 - 1. assign V349265 = V749289 - 1. assign V547371 = V394922. assign V833955 = V595796. assign V652018 = V309954 + 1. assign V644684 = V289668. assign V749289 = V258794 - 1. assign V440586 = V761434. assign V133523 = V809674 - 1. assign V583494 = V713985 - 1. assign V620302 = V151705 + 1. assign V988788 = V072131 - 1. assign V059289 = V309954 + 1. assign V416381 = V212468. assign V710972 = V666904 + 1. assign V737481 = V992310. assign V815597 = V921652. assign V440364 = V875544 - 1. assign V409944 = V988788. assign V619536 = V369501 - 1. assign V261868 = V588057 + 1. assign V056572 = V480186 + 1. assign V011825 = V939291. assign V369357 = V864051 + 1. assign V727643 = V027551 - 1. assign V761434 = V736543 + 1. assign V686212 = V290968. assign V337514 = V309954 + 1. assign V110016 = V921652. assign V003063 = V828856 - 1. assign V992310 = V710972 - 1. assign V189130 = V731283 - 1. assign V480186 = V595796 - 1. assign V936219 = V753868 + 1. assign V363919 = V094611 - 1. assign V245016 = V824340 + 1. assign V881607 = V072131. assign V761396 = V364334 - 1. assign V297892 = V992310. assign V297527 = V477529 - 1. assign V930927 = V749289 + 1. assign V921652 = V450355 - 1. assign V241125 = V749289 - 1. assign V046334 = V394922. assign V657987 = V094611 + 1. assign V900680 = V824340. assign V728777 = V620302 - 1. assign V772237 = V748281 + 1. assign V151705 = V785223. assign V991294 = V749289 - 1. assign V951175 = V046334 + 1. assign V038774 = V110016. assign V991039 = V003063 - 1. assign V970349 = V947554. assign V533521 = V921652 + 1. assign V247289 = V736543 + 1. assign V609196 = V072131. assign V398188 = V749289 + 1. assign V518730 = V939291 + 1. assign V381172 = V921652. assign V588057 = V921652 + 1. assign V437319 = V403332 + 1. assign V495067 = V011825 + 1. assign V237568 = V187052. assign V724492 = V051505 - 1. assign V044116 = V444904 + 1. assign V880072 = V549534 - 1. assign V809674 = V450355 + 1. assign V758992 = V110016. assign V188638 = V761434 - 1. assign V897049 = V595796 - 1. assign V997816 = V337514. assign V506007 = V513288 + 1. assign V816998 = V533521 + 1. assign V309954 = V921652 - 1. assign V892591 = V072131 + 1. assign V489824 = V595796 - 1. assign V157045 = V444904 - 1. assign V829110 = V815597 + 1. assign V179107 = V748281. assign V290968 = V749289 + 1. assign V394922 = V309954 + 1. assign V666904 = V338775 - 1. assign V338775 = V450355 - 1. assign V875544 = V364334. assign V370949 = V398188 - 1. assign V805301 = V518730 - 1. assign V752954 = V652018. assign V158044 = V824340 + 1. assign V924549 = V364334. assign V817872 = V644684 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V566385 = V274937. assign V477529 = V686212. assign V579405 = V892591 + 1. assign V864051 = V046334 + 1. assign V902121 = V921652 - 1. assign V128626 = V736543 + 1. assign V230595 = V379235 - 1. assign V794866 = V010706 - 1. assign V260401 = V992310. assign V586943 = V110016. assign V969710 = V880072 - 1. assign V909941 = V274937 + 1. assign V248843 = V829110. assign V025995 = V829110. assign V753868 = V613204 - 1. assign V099433 = V394922. assign V387365 = V189130 + 1. assign V274937 = V309954 - 1. assign V939291 = V110016 - 1. assign V713985 = V329004. assign V844706 = V245016 + 1. assign V368420 = V480186 + 1. assign V444904 = V817872 + 1. assign V748281 = V212468 - 1. assign V731283 = V737481 - 1. assign V057926 = V947554. assign V175269 = V189130. assign V147444 = V258794 - 1. assign V595796 = V158044 - 1. assign V667718 = V188638 + 1. assign V372382 = V450355 - 1. assign V982329 = V921652 + 1. assign V378883 = V857733 - 1. assign V495959 = V448846. assign V549534 = V363919. assign V647791 = V737481. assign V258794 = V785223 + 1. assign V271496 = 2. assign V187052 = V809674 + 1. assign V717510 = V815597 + 1. assign V147642 = V274937 + 1. assign V828856 = V533521. assign V081506 = V290968 + 1. assign V736543 = V158044 - 1. assign V047106 = V297892 - 1. assign V212468 = V815597. assign V056389 = V258794 - 1. assign V100449 = V815597. assign V613204 = V939291. assign V094611 = V450355. assign V448846 = V309954 + 1. assign V957187 = V364334 - 1. assign V073738 = V364334 + 1. assign V369501 = V921652 - 1. assign V844228 = V748281 - 1. assign V010706 = V815597 - 1. assign V364334 = V939291 - 1. assign V857733 = V381172. assign V569989 = V579405 + 1. assign V655252 = V518730 + 1. assign V513288 = V579405. assign V011950 = V271496 + 1. assign V947554 = V212468 - 1. assign V878832 = V640554 - 1. assign V912555 = V988788. assign V051505 = V329004 - 1. assign V289668 = V857733 - 1. assign V644441 = V212468 + 1. assign V963875 = V489824 + 1. assign V403332 = V010706 + 1. assign V887497 = V309954. assign V824340 = V450355. assign V785223 = V381172. assign V640554 = V785223 + 1. assign V254448 = V880072 - 1. assign V329004 = V297892 - 1. assign V027551 = V815597. assign V077428 = V480186. assign V072131 = V921652. assign V957420 = V378883 + 1. assign V379235 = V579405 + 1. assign V067309 = V947554 - 1. assign V349265 = V749289 - 1. assign V547371 = V394922. assign V833955 = V595796. assign V652018 = V309954 + 1. assign V644684 = V289668. assign V749289 = V258794 - 1. assign V440586 = V761434. assign V133523 = V809674 - 1. assign V583494 = V713985 - 1. assign V620302 = V151705 + 1. assign V988788 = V072131 - 1. assign V059289 = V309954 + 1. assign V416381 = V212468. assign V710972 = V666904 + 1. assign V737481 = V992310. assign V815597 = V921652. assign V440364 = V875544 - 1. assign V409944 = V988788. assign V619536 = V369501 - 1. assign V261868 = V588057 + 1. assign V056572 = V480186 + 1. assign V011825 = V939291. assign V369357 = V864051 + 1. assign V727643 = V027551 - 1. assign V761434 = V736543 + 1. assign V686212 = V290968. assign V337514 = V309954 + 1. assign V110016 = V921652. assign V003063 = V828856 - 1. assign V992310 = V710972 - 1. assign V189130 = V731283 - 1. assign V480186 = V595796 - 1. assign V936219 = V753868 + 1. assign V363919 = V094611 - 1. assign V245016 = V824340 + 1. assign V881607 = V072131. assign V761396 = V364334 - 1. assign V297892 = V992310. assign V297527 = V477529 - 1. assign V930927 = V749289 + 1. assign V921652 = V450355 - 1. assign V241125 = V749289 - 1. assign V046334 = V394922. assign V657987 = V094611 + 1. assign V900680 = V824340. assign V728777 = V620302 - 1. assign V772237 = V748281 + 1. assign V151705 = V785223. assign V991294 = V749289 - 1. assign V951175 = V046334 + 1. assign V038774 = V110016. assign V991039 = V003063 - 1. assign V970349 = V947554. assign V533521 = V921652 + 1. assign V247289 = V736543 + 1. assign V609196 = V072131. assign V398188 = V749289 + 1. assign V518730 = V939291 + 1. assign V381172 = V921652. assign V588057 = V921652 + 1. assign V437319 = V403332 + 1. assign V495067 = V011825 + 1. assign V237568 = V187052. assign V724492 = V051505 - 1. assign V044116 = V444904 + 1. assign V880072 = V549534 - 1. assign V809674 = V450355 + 1. assign V758992 = V110016. assign V188638 = V761434 - 1. assign V897049 = V595796 - 1. assign V997816 = V337514. assign V506007 = V513288 + 1. assign V816998 = V533521 + 1. assign V309954 = V921652 - 1. assign V892591 = V072131 + 1. assign V489824 = V595796 - 1. assign V157045 = V444904 - 1. assign V829110 = V815597 + 1. assign V179107 = V748281. assign V290968 = V749289 + 1. assign V394922 = V309954 + 1. assign V666904 = V338775 - 1. assign V338775 = V450355 - 1. assign V875544 = V364334. assign V370949 = V398188 - 1. assign V805301 = V518730 - 1. assign V752954 = V652018. assign V158044 = V824340 + 1. assign V924549 = V364334. assign V817872 = V644684 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV271496 = 2;\n\nFrom these direct assignment(s), we have: \nV011950 = V271496 + 1 = 2 + 1 =3;\nNo other variables can be derived from V011950;\nNo other variables can be derived from V271496;\n\nNow we have done all the calculations. Derived variables are:\nV271496 = 2;\nV011950 = 3;\n\nNow we have finished this problem. ANSWER:\nV011950\n", "role": "assistant" } ]

[ "V964952", "V014087" ]

[ { "content": "<context>\nassign V625557 = V763137. assign V087849 = V069984 - 1. assign V224188 = V104493 - 1. assign V023719 = V885575 + 1. assign V190369 = V553132 + 1. assign V393579 = V336725 - 1. assign V293678 = V879370 + 1. assign V401071 = V033040 - 1. assign V688885 = V312784. assign V847755 = V845966 + 1. assign V331974 = V888032. assign V082583 = V945074 - 1. assign V158718 = V091038 - 1. assign V594714 = V113579 + 1. assign V505426 = V682915 - 1. assign V324858 = V931940. assign V302238 = V819696. assign V712427 = V254321 - 1. assign V167498 = V087849. assign V898986 = V087190 + 1. assign V091038 = V888032. assign V355278 = V036542 - 1. assign V049124 = V712427 - 1. assign V888032 = V248327. assign V039358 = V964392 + 1. assign V113579 = V033040 - 1. assign V812721 = V062917 + 1. assign V150627 = V601601 - 1. assign V333545 = V397848 - 1. assign V945074 = V522399. assign V312784 = V522399. assign V652189 = V301941. assign V539296 = V193000. assign V543399 = V312789 + 1. assign V062392 = V355278. assign V985256 = V294725 - 1. assign V297831 = V190369. assign V142546 = V233184 - 1. assign V312789 = V568544 + 1. assign V682915 = V879370. assign V336725 = V796988 + 1. assign V826400 = V796988. assign V601601 = V796988 - 1. assign V552746 = V254321 + 1. assign V943148 = V036542 - 1. assign V062917 = V717786 + 1. assign V512513 = V276594 + 1. assign V422706 = V130534 + 1. assign V568544 = V254321 + 1. assign V276594 = V062917. assign V437601 = V594714 + 1. assign V233184 = V380878 - 1. assign V298853 = V142546. assign V531498 = V552746. assign V816553 = V298524 + 1. assign V036542 = V397848 - 1. assign V590341 = V778885. assign V104493 = V561491. assign V047942 = V254321. assign V055647 = V036542 + 1. assign V012300 = V486491. assign V758897 = V049124. assign V380878 = V393579 + 1. assign V553132 = V355278 + 1. assign V492833 = V449660 - 1. assign V792837 = V422706 + 1. assign V109977 = V069984. assign V024506 = V052548 - 1. assign V919576 = V069984 + 1. assign V107025 = V847755 - 1. assign V301941 = V819696 + 1. assign V064013 = V888032. assign V413818 = V431198. assign V818966 = V055647 + 1. assign V105089 = V033040 + 1. assign V971694 = V528547 + 1. assign V219044 = V971694 - 1. assign V310020 = V276594 - 1. assign V366555 = V082583 - 1. assign V366321 = V025911. assign V869396 = V522399 + 1. assign V449660 = V628011 - 1. assign V208226 = V196994. assign V301490 = V819696 - 1. assign V011703 = V512513. assign V143263 = V543399 - 1. assign V116261 = V910254 - 1. assign V251494 = V340300 - 1. assign V014087 = V964952. assign V332265 = V826400 - 1. assign V541865 = V819696. assign V196994 = V422706 - 1. assign V931940 = V541865 - 1. assign V845966 = V336725 + 1. assign V965859 = V826400 - 1. assign V130534 = V276594. assign V538645 = V113579 - 1. assign V480388 = V196994 - 1. assign V964392 = V355278. assign V087190 = V208226 + 1. assign V516686 = V062917 - 1. assign V028226 = V254321 + 1. assign V091311 = V333545 - 1. assign V542388 = V036542 - 1. assign V678159 = V248327 - 1. assign V015425 = V987264 - 1. assign V818243 = V310020. assign V039711 = V943148. assign V927405 = V047942 + 1. assign V803493 = V113579 + 1. assign V432973 = V543399 - 1. assign V579682 = V819696 - 1. assign V778885 = V333545 + 1. assign V810713 = V861598 + 1. assign V609768 = V541865 + 1. assign V331637 = V312784. assign V752239 = V931940. assign V154709 = V205915 + 1. assign V591225 = V553132 - 1. assign V838297 = V449660. assign V052548 = V039358 + 1. assign V164939 = V033040 + 1. assign V294725 = V091038 - 1. assign V133165 = V927405. assign V431198 = V377916 + 1. assign V025911 = V096384 + 1. assign V379827 = V943148 + 1. assign V549586 = V717786 - 1. assign V717786 = V397848. assign V485851 = V832927 - 1. assign V552402 = V927405 + 1. assign V819696 = V943148 - 1. assign V950326 = V449660. assign V096384 = V039358 + 1. assign V033040 = V055647 - 1. assign V447180 = V591225. assign V861598 = V301490 - 1. assign V522399 = V717786 + 1. assign V069984 = V055647. assign V885575 = V310020 - 1. assign V643393 = V082583 - 1. assign V576594 = V512513 - 1. assign V102769 = V012300 + 1. assign V987264 = V219044. assign V504822 = V567031 + 1. assign V442770 = V818243 + 1. assign V205915 = V064013 + 1. assign V516081 = V541865 - 1. assign V628011 = V036542 + 1. assign V254321 = V943148. assign V832927 = V628011 + 1. assign V567031 = V248327 - 1. assign V340300 = V538645 + 1. assign V486491 = V552746 - 1. assign V387783 = V971694 - 1. assign V248327 = V036542. assign V298524 = V254321. assign V088831 = V516081 + 1. assign V377916 = V312784 - 1. assign V557803 = V233184 + 1. assign V561491 = V538645. assign V528547 = V576594. assign V026700 = V826400 - 1. assign V879370 = V082583 - 1. assign V322210 = V333545. assign V964952 = 5. assign V763137 = V541865 - 1. assign V881761 = V931940 - 1. assign V437770 = V567031. assign V910254 = V301490 + 1. assign V796988 = V819696. assign V193000 = V039358 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V625557 = V763137. assign V087849 = V069984 - 1. assign V224188 = V104493 - 1. assign V023719 = V885575 + 1. assign V190369 = V553132 + 1. assign V393579 = V336725 - 1. assign V293678 = V879370 + 1. assign V401071 = V033040 - 1. assign V688885 = V312784. assign V847755 = V845966 + 1. assign V331974 = V888032. assign V082583 = V945074 - 1. assign V158718 = V091038 - 1. assign V594714 = V113579 + 1. assign V505426 = V682915 - 1. assign V324858 = V931940. assign V302238 = V819696. assign V712427 = V254321 - 1. assign V167498 = V087849. assign V898986 = V087190 + 1. assign V091038 = V888032. assign V355278 = V036542 - 1. assign V049124 = V712427 - 1. assign V888032 = V248327. assign V039358 = V964392 + 1. assign V113579 = V033040 - 1. assign V812721 = V062917 + 1. assign V150627 = V601601 - 1. assign V333545 = V397848 - 1. assign V945074 = V522399. assign V312784 = V522399. assign V652189 = V301941. assign V539296 = V193000. assign V543399 = V312789 + 1. assign V062392 = V355278. assign V985256 = V294725 - 1. assign V297831 = V190369. assign V142546 = V233184 - 1. assign V312789 = V568544 + 1. assign V682915 = V879370. assign V336725 = V796988 + 1. assign V826400 = V796988. assign V601601 = V796988 - 1. assign V552746 = V254321 + 1. assign V943148 = V036542 - 1. assign V062917 = V717786 + 1. assign V512513 = V276594 + 1. assign V422706 = V130534 + 1. assign V568544 = V254321 + 1. assign V276594 = V062917. assign V437601 = V594714 + 1. assign V233184 = V380878 - 1. assign V298853 = V142546. assign V531498 = V552746. assign V816553 = V298524 + 1. assign V036542 = V397848 - 1. assign V590341 = V778885. assign V104493 = V561491. assign V047942 = V254321. assign V055647 = V036542 + 1. assign V012300 = V486491. assign V758897 = V049124. assign V380878 = V393579 + 1. assign V553132 = V355278 + 1. assign V492833 = V449660 - 1. assign V792837 = V422706 + 1. assign V109977 = V069984. assign V024506 = V052548 - 1. assign V919576 = V069984 + 1. assign V107025 = V847755 - 1. assign V301941 = V819696 + 1. assign V064013 = V888032. assign V413818 = V431198. assign V818966 = V055647 + 1. assign V105089 = V033040 + 1. assign V971694 = V528547 + 1. assign V219044 = V971694 - 1. assign V310020 = V276594 - 1. assign V366555 = V082583 - 1. assign V366321 = V025911. assign V869396 = V522399 + 1. assign V449660 = V628011 - 1. assign V208226 = V196994. assign V301490 = V819696 - 1. assign V011703 = V512513. assign V143263 = V543399 - 1. assign V116261 = V910254 - 1. assign V251494 = V340300 - 1. assign V014087 = V964952. assign V332265 = V826400 - 1. assign V541865 = V819696. assign V196994 = V422706 - 1. assign V931940 = V541865 - 1. assign V845966 = V336725 + 1. assign V965859 = V826400 - 1. assign V130534 = V276594. assign V538645 = V113579 - 1. assign V480388 = V196994 - 1. assign V964392 = V355278. assign V087190 = V208226 + 1. assign V516686 = V062917 - 1. assign V028226 = V254321 + 1. assign V091311 = V333545 - 1. assign V542388 = V036542 - 1. assign V678159 = V248327 - 1. assign V015425 = V987264 - 1. assign V818243 = V310020. assign V039711 = V943148. assign V927405 = V047942 + 1. assign V803493 = V113579 + 1. assign V432973 = V543399 - 1. assign V579682 = V819696 - 1. assign V778885 = V333545 + 1. assign V810713 = V861598 + 1. assign V609768 = V541865 + 1. assign V331637 = V312784. assign V752239 = V931940. assign V154709 = V205915 + 1. assign V591225 = V553132 - 1. assign V838297 = V449660. assign V052548 = V039358 + 1. assign V164939 = V033040 + 1. assign V294725 = V091038 - 1. assign V133165 = V927405. assign V431198 = V377916 + 1. assign V025911 = V096384 + 1. assign V379827 = V943148 + 1. assign V549586 = V717786 - 1. assign V717786 = V397848. assign V485851 = V832927 - 1. assign V552402 = V927405 + 1. assign V819696 = V943148 - 1. assign V950326 = V449660. assign V096384 = V039358 + 1. assign V033040 = V055647 - 1. assign V447180 = V591225. assign V861598 = V301490 - 1. assign V522399 = V717786 + 1. assign V069984 = V055647. assign V885575 = V310020 - 1. assign V643393 = V082583 - 1. assign V576594 = V512513 - 1. assign V102769 = V012300 + 1. assign V987264 = V219044. assign V504822 = V567031 + 1. assign V442770 = V818243 + 1. assign V205915 = V064013 + 1. assign V516081 = V541865 - 1. assign V628011 = V036542 + 1. assign V254321 = V943148. assign V832927 = V628011 + 1. assign V567031 = V248327 - 1. assign V340300 = V538645 + 1. assign V486491 = V552746 - 1. assign V387783 = V971694 - 1. assign V248327 = V036542. assign V298524 = V254321. assign V088831 = V516081 + 1. assign V377916 = V312784 - 1. assign V557803 = V233184 + 1. assign V561491 = V538645. assign V528547 = V576594. assign V026700 = V826400 - 1. assign V879370 = V082583 - 1. assign V322210 = V333545. assign V964952 = 5. assign V763137 = V541865 - 1. assign V881761 = V931940 - 1. assign V437770 = V567031. assign V910254 = V301490 + 1. assign V796988 = V819696. assign V193000 = V039358 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV964952 = 5;\n\nFrom these direct assignment(s), we have: \nV014087 = V964952 = 5;\nNo other variables can be derived from V014087;\nNo other variables can be derived from V964952;\n\nNow we have done all the calculations. Derived variables are:\nV964952 = 5;\nV014087 = 5;\n\nNow we have finished this problem. ANSWER:\nV964952, V014087\n", "role": "assistant" } ]

[ "V121021" ]

[ { "content": "<context>\nassign V339040 = V428581. assign V599519 = V433939. assign V974991 = V932034 - 1. assign V816481 = V406782 - 1. assign V443761 = V690203 + 1. assign V006002 = V856346 + 1. assign V080184 = V589159. assign V349455 = V352054 - 1. assign V947821 = V117935 - 1. assign V320285 = V916128 + 1. assign V374520 = V228753. assign V777800 = V469715 + 1. assign V383544 = V967612 + 1. assign V089425 = V679433 + 1. assign V208883 = V473597 + 1. assign V008893 = V256266 - 1. assign V236717 = V349455. assign V056978 = V406782 - 1. assign V789659 = V469715 + 1. assign V958622 = V204079 + 1. assign V770982 = V267752. assign V080071 = V944104 - 1. assign V893555 = V890819. assign V400568 = V383544 - 1. assign V228753 = V349455. assign V067963 = V627637. assign V497860 = V555817 + 1. assign V836026 = V589159. assign V776491 = V349455 - 1. assign V719884 = V885988 + 1. assign V938276 = V352054 + 1. assign V606198 = V620451 - 1. assign V419217 = V215722 + 1. assign V406782 = V375333 + 1. assign V481916 = V529501 + 1. assign V827477 = V529501 + 1. assign V453631 = V675936 + 1. assign V627637 = V317828 + 1. assign V373170 = V144021 - 1. assign V407520 = V117935 + 1. assign V944382 = V856346 + 1. assign V165432 = V491608. assign V977126 = V497860. assign V215722 = V976496. assign V352054 = V856346. assign V784846 = V139306 + 1. assign V375333 = V856346 + 1. assign V473062 = V481916 - 1. assign V221205 = V144021 + 1. assign V473597 = V469715. assign V106128 = V457470 - 1. assign V860711 = V743421 + 1. assign V359819 = V342786. assign V743421 = V352054. assign V555817 = V457470. assign V317828 = V375333 - 1. assign V418818 = V893555 + 1. assign V641824 = V967612 + 1. assign V546417 = V934849 + 1. assign V188580 = V286367 - 1. assign V589159 = V890819 + 1. assign V848959 = V777800 - 1. assign V620451 = V406782 - 1. assign V932034 = V893887 + 1. assign V568387 = V457470 - 1. assign V371879 = V860711 - 1. assign V738700 = V675936 - 1. assign V516085 = V406782. assign V855047 = V352054 + 1. assign V968720 = V308712. assign V318873 = V481916 + 1. assign V433939 = V377559 - 1. assign V885988 = V938276. assign V308712 = V856346. assign V706607 = V177283. assign V428632 = V406782 + 1. assign V679433 = V375333 + 1. assign V432492 = V876219 - 1. assign V607845 = V967612. assign V733925 = V668796 + 1. assign V875318 = V476578 + 1. assign V139306 = V349455 - 1. assign V529501 = V317828 + 1. assign V378605 = V931567 - 1. assign V574002 = V967612. assign V074002 = V080071. assign V131435 = V204079 + 1. assign V600964 = V934849 + 1. assign V668796 = V836026 + 1. assign V839024 = V469715 - 1. assign V144021 = V375333 - 1. assign V385415 = V097728 + 1. assign V675936 = V106128. assign V518942 = V267752. assign V457470 = V856346 + 1. assign V931567 = V286367 + 1. assign V190217 = V481916. assign V614170 = V407520 + 1. assign V427910 = V581679 - 1. assign V908889 = V555817 - 1. assign V783887 = V139306 + 1. assign V177283 = V190217. assign V967612 = V267752. assign V286367 = V932034. assign V629280 = V679433 + 1. assign V199593 = V352054. assign V216661 = V890819. assign V952330 = V675936 - 1. assign V855263 = V177283. assign V876219 = V856346 + 1. assign V349199 = V124906 + 1. assign V428581 = V876219 - 1. assign V218364 = V318873 + 1. assign V117935 = V069898 - 1. assign V452834 = V375806 - 1. assign V325921 = V481916 - 1. assign V204079 = V457470 - 1. assign V771734 = V204079 + 1. assign V520020 = V679433 - 1. assign V476578 = V976496 + 1. assign V069898 = V144021 + 1. assign V502213 = V968720 + 1. assign V997493 = V967612 - 1. assign V342786 = V106128. assign V338751 = V529501 + 1. assign V893887 = V375333. assign V899992 = V228753 - 1. assign V259517 = V188580 - 1. assign V890819 = V932034 - 1. assign V316866 = V317828 + 1. assign V383092 = V502213 + 1. assign V256266 = V318873 + 1. assign V383210 = V406782. assign V132174 = V432492 - 1. assign V844370 = V121021 + 1. assign V375806 = V308712 + 1. assign V714264 = V080184. assign V100938 = V836026 - 1. assign V124906 = V476578 + 1. assign V377559 = V770982 + 1. assign V274247 = V574002 - 1. assign V402812 = V529501 - 1. assign V376677 = V473597 + 1. assign V581679 = V502213 - 1. assign V549599 = V318873 - 1. assign V831412 = V481916. assign V916128 = V502213 - 1. assign V775404 = V433703. assign V976496 = V082751 + 1. assign V155423 = V373170 - 1. assign V690203 = V770982 + 1. assign V011968 = V218364 - 1. assign V844059 = V938276. assign V435154 = V976496. assign V807669 = V221205. assign V127790 = V082751. assign V433703 = V144021. assign V513071 = V435154 + 1. assign V121021 = 2. assign V934849 = V082751. assign V894724 = V256266 - 1. assign V267752 = V457470 - 1. assign V469715 = V679433. assign V944104 = V856346 - 1. assign V779558 = V457470 + 1. assign V420542 = V204079. assign V806929 = V856346 + 1. assign V943779 = V831412 - 1. assign V097728 = V349455 + 1. assign V491608 = V082751. assign V082751 = V204079 - 1. assign V677560 = V733925 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V339040 = V428581. assign V599519 = V433939. assign V974991 = V932034 - 1. assign V816481 = V406782 - 1. assign V443761 = V690203 + 1. assign V006002 = V856346 + 1. assign V080184 = V589159. assign V349455 = V352054 - 1. assign V947821 = V117935 - 1. assign V320285 = V916128 + 1. assign V374520 = V228753. assign V777800 = V469715 + 1. assign V383544 = V967612 + 1. assign V089425 = V679433 + 1. assign V208883 = V473597 + 1. assign V008893 = V256266 - 1. assign V236717 = V349455. assign V056978 = V406782 - 1. assign V789659 = V469715 + 1. assign V958622 = V204079 + 1. assign V770982 = V267752. assign V080071 = V944104 - 1. assign V893555 = V890819. assign V400568 = V383544 - 1. assign V228753 = V349455. assign V067963 = V627637. assign V497860 = V555817 + 1. assign V836026 = V589159. assign V776491 = V349455 - 1. assign V719884 = V885988 + 1. assign V938276 = V352054 + 1. assign V606198 = V620451 - 1. assign V419217 = V215722 + 1. assign V406782 = V375333 + 1. assign V481916 = V529501 + 1. assign V827477 = V529501 + 1. assign V453631 = V675936 + 1. assign V627637 = V317828 + 1. assign V373170 = V144021 - 1. assign V407520 = V117935 + 1. assign V944382 = V856346 + 1. assign V165432 = V491608. assign V977126 = V497860. assign V215722 = V976496. assign V352054 = V856346. assign V784846 = V139306 + 1. assign V375333 = V856346 + 1. assign V473062 = V481916 - 1. assign V221205 = V144021 + 1. assign V473597 = V469715. assign V106128 = V457470 - 1. assign V860711 = V743421 + 1. assign V359819 = V342786. assign V743421 = V352054. assign V555817 = V457470. assign V317828 = V375333 - 1. assign V418818 = V893555 + 1. assign V641824 = V967612 + 1. assign V546417 = V934849 + 1. assign V188580 = V286367 - 1. assign V589159 = V890819 + 1. assign V848959 = V777800 - 1. assign V620451 = V406782 - 1. assign V932034 = V893887 + 1. assign V568387 = V457470 - 1. assign V371879 = V860711 - 1. assign V738700 = V675936 - 1. assign V516085 = V406782. assign V855047 = V352054 + 1. assign V968720 = V308712. assign V318873 = V481916 + 1. assign V433939 = V377559 - 1. assign V885988 = V938276. assign V308712 = V856346. assign V706607 = V177283. assign V428632 = V406782 + 1. assign V679433 = V375333 + 1. assign V432492 = V876219 - 1. assign V607845 = V967612. assign V733925 = V668796 + 1. assign V875318 = V476578 + 1. assign V139306 = V349455 - 1. assign V529501 = V317828 + 1. assign V378605 = V931567 - 1. assign V574002 = V967612. assign V074002 = V080071. assign V131435 = V204079 + 1. assign V600964 = V934849 + 1. assign V668796 = V836026 + 1. assign V839024 = V469715 - 1. assign V144021 = V375333 - 1. assign V385415 = V097728 + 1. assign V675936 = V106128. assign V518942 = V267752. assign V457470 = V856346 + 1. assign V931567 = V286367 + 1. assign V190217 = V481916. assign V614170 = V407520 + 1. assign V427910 = V581679 - 1. assign V908889 = V555817 - 1. assign V783887 = V139306 + 1. assign V177283 = V190217. assign V967612 = V267752. assign V286367 = V932034. assign V629280 = V679433 + 1. assign V199593 = V352054. assign V216661 = V890819. assign V952330 = V675936 - 1. assign V855263 = V177283. assign V876219 = V856346 + 1. assign V349199 = V124906 + 1. assign V428581 = V876219 - 1. assign V218364 = V318873 + 1. assign V117935 = V069898 - 1. assign V452834 = V375806 - 1. assign V325921 = V481916 - 1. assign V204079 = V457470 - 1. assign V771734 = V204079 + 1. assign V520020 = V679433 - 1. assign V476578 = V976496 + 1. assign V069898 = V144021 + 1. assign V502213 = V968720 + 1. assign V997493 = V967612 - 1. assign V342786 = V106128. assign V338751 = V529501 + 1. assign V893887 = V375333. assign V899992 = V228753 - 1. assign V259517 = V188580 - 1. assign V890819 = V932034 - 1. assign V316866 = V317828 + 1. assign V383092 = V502213 + 1. assign V256266 = V318873 + 1. assign V383210 = V406782. assign V132174 = V432492 - 1. assign V844370 = V121021 + 1. assign V375806 = V308712 + 1. assign V714264 = V080184. assign V100938 = V836026 - 1. assign V124906 = V476578 + 1. assign V377559 = V770982 + 1. assign V274247 = V574002 - 1. assign V402812 = V529501 - 1. assign V376677 = V473597 + 1. assign V581679 = V502213 - 1. assign V549599 = V318873 - 1. assign V831412 = V481916. assign V916128 = V502213 - 1. assign V775404 = V433703. assign V976496 = V082751 + 1. assign V155423 = V373170 - 1. assign V690203 = V770982 + 1. assign V011968 = V218364 - 1. assign V844059 = V938276. assign V435154 = V976496. assign V807669 = V221205. assign V127790 = V082751. assign V433703 = V144021. assign V513071 = V435154 + 1. assign V121021 = 2. assign V934849 = V082751. assign V894724 = V256266 - 1. assign V267752 = V457470 - 1. assign V469715 = V679433. assign V944104 = V856346 - 1. assign V779558 = V457470 + 1. assign V420542 = V204079. assign V806929 = V856346 + 1. assign V943779 = V831412 - 1. assign V097728 = V349455 + 1. assign V491608 = V082751. assign V082751 = V204079 - 1. assign V677560 = V733925 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV121021 = 2;\n\nFrom these direct assignment(s), we have: \nV844370 = V121021 + 1 = 2 + 1 =3;\nNo other variables can be derived from V844370;\nNo other variables can be derived from V121021;\n\nNow we have done all the calculations. Derived variables are:\nV121021 = 2;\nV844370 = 3;\n\nNow we have finished this problem. ANSWER:\nV121021\n", "role": "assistant" } ]

[ "V452193", "V377149" ]

[ { "content": "<context>\nassign V066755 = V781273. assign V385702 = V121788 - 1. assign V830956 = V807385. assign V217091 = V163820. assign V513992 = V781273 - 1. assign V648083 = V555818. assign V552114 = V769711 - 1. assign V493544 = V253224 + 1. assign V781273 = V807385 - 1. assign V321548 = V550373. assign V163820 = V322076 - 1. assign V758959 = V037410 - 1. assign V830979 = V484937. assign V834762 = V167110 - 1. assign V626858 = V754165 - 1. assign V429928 = V128551 - 1. assign V836928 = V754165. assign V462848 = V484751 + 1. assign V838319 = V781273 - 1. assign V263807 = V562613. assign V070113 = V228483. assign V717720 = V555818 + 1. assign V025440 = V076911 - 1. assign V430608 = V550504 + 1. assign V054667 = V755980 + 1. assign V045019 = V210493. assign V409950 = V152287 - 1. assign V372992 = V421047 - 1. assign V545815 = V562613 - 1. assign V779799 = V897237. assign V405126 = V842961 - 1. assign V867184 = V312002 + 1. assign V588122 = V484937 + 1. assign V534715 = V493544 - 1. assign V555818 = V754165 - 1. assign V345789 = V167110 - 1. assign V847089 = V929126 - 1. assign V685032 = V550504 - 1. assign V562613 = V929126 - 1. assign V160193 = V121788. assign V152287 = V407257. assign V302086 = V484937 + 1. assign V105369 = V769711 + 1. assign V807385 = V253224 + 1. assign V032548 = V755980 - 1. assign V407257 = V907776 + 1. assign V550504 = V754165 + 1. assign V340367 = V562613 + 1. assign V225432 = V807385 + 1. assign V193419 = V411222 + 1. assign V511037 = V120452. assign V792063 = V677857 - 1. assign V411222 = V521187 - 1. assign V550373 = V998898 - 1. assign V475102 = V934399 + 1. assign V419976 = V167110 - 1. assign V568993 = V929126 + 1. assign V312002 = V677857 - 1. assign V907776 = V842961 + 1. assign V997686 = V330943 - 1. assign V189255 = V895750 + 1. assign V429106 = V245533. assign V362267 = V128551 + 1. assign V144088 = V037329 - 1. assign V173027 = V372992. assign V998898 = V929126 + 1. assign V755980 = V050080. assign V705487 = V148411 - 1. assign V050190 = V144088 + 1. assign V280085 = V769170 + 1. assign V695422 = V489099 + 1. assign V215892 = V037410. assign V249488 = V144088 - 1. assign V553387 = V937656 - 1. assign V018521 = V626858. assign V228483 = V937656 - 1. assign V117463 = V867184. assign V621224 = V484751. assign V076911 = V484937 - 1. assign V463280 = V409950 - 1. assign V650626 = V251180 - 1. assign V929126 = V493544 + 1. assign V329397 = V493544. assign V739974 = V915934 + 1. assign V372124 = V253224 - 1. assign V842961 = V807385 - 1. assign V182824 = V929126 - 1. assign V572750 = V037329 - 1. assign V885413 = V836928 - 1. assign V763767 = V842961 - 1. assign V096834 = V820028 + 1. assign V629768 = V193419 + 1. assign V050080 = V842961. assign V121788 = V405126 + 1. assign V037410 = V769711. assign V967543 = V148411. assign V616172 = V049042 + 1. assign V037329 = V534715 - 1. assign V683876 = V777621 - 1. assign V000118 = V550504 + 1. assign V895750 = V534715 - 1. assign V754165 = V781273 + 1. assign V809777 = V160193. assign V873456 = V407257. assign V484751 = V037329 + 1. assign V645306 = V341693 + 1. assign V897530 = V340367. assign V269613 = V929126 + 1. assign V777621 = V484937 - 1. assign V915934 = V091510 + 1. assign V539200 = V228483 - 1. assign V559702 = V150981 - 1. assign V455212 = V550373 - 1. assign V846488 = V755980 - 1. assign V359556 = V329397. assign V820028 = V842961 - 1. assign V084355 = V278518 - 1. assign V934399 = V037329 + 1. assign V322076 = V493544 - 1. assign V049042 = V677857 + 1. assign V452193 = 0. assign V481805 = V045019 - 1. assign V769711 = V372124 + 1. assign V043250 = V809777 + 1. assign V367341 = V321548 - 1. assign V489099 = V895750 - 1. assign V209101 = V179215 - 1. assign V555321 = V555818 + 1. assign V091510 = V769170 - 1. assign V677857 = V167110. assign V183065 = V755980 + 1. assign V760394 = V037410 - 1. assign V521187 = V820028. assign V363972 = V493544. assign V897237 = V163820 + 1. assign V769170 = V037329 - 1. assign V150981 = V217091 - 1. assign V474094 = V345789. assign V642858 = V755980. assign V783707 = V049042 + 1. assign V516378 = V121788 + 1. assign V179215 = V703586 + 1. assign V049458 = V572750. assign V201590 = V340367 - 1. assign V937656 = V897237 + 1. assign V484937 = V754165 - 1. assign V278518 = V018521 + 1. assign V909349 = V215892 - 1. assign V377149 = V452193. assign V117298 = V809777. assign V128551 = V160193. assign V330943 = V937656 + 1. assign V148411 = V555321. assign V786995 = V769170. assign V253224 = V167110. assign V210493 = V201590 - 1. assign V245533 = V484751. assign V937473 = V474094 + 1. assign V513041 = V484937. assign V120452 = V249488 - 1. assign V703586 = V429106 + 1. assign V921052 = V616172. assign V902406 = V489099. assign V251180 = V050080 - 1. assign V632280 = V792063 - 1. assign V689223 = V595145 - 1. assign V341693 = V163820. assign V454259 = V201590 - 1. assign V694020 = V201590 + 1. assign V669575 = V695422 + 1. assign V595145 = V873456. assign V421047 = V929126.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V066755 = V781273. assign V385702 = V121788 - 1. assign V830956 = V807385. assign V217091 = V163820. assign V513992 = V781273 - 1. assign V648083 = V555818. assign V552114 = V769711 - 1. assign V493544 = V253224 + 1. assign V781273 = V807385 - 1. assign V321548 = V550373. assign V163820 = V322076 - 1. assign V758959 = V037410 - 1. assign V830979 = V484937. assign V834762 = V167110 - 1. assign V626858 = V754165 - 1. assign V429928 = V128551 - 1. assign V836928 = V754165. assign V462848 = V484751 + 1. assign V838319 = V781273 - 1. assign V263807 = V562613. assign V070113 = V228483. assign V717720 = V555818 + 1. assign V025440 = V076911 - 1. assign V430608 = V550504 + 1. assign V054667 = V755980 + 1. assign V045019 = V210493. assign V409950 = V152287 - 1. assign V372992 = V421047 - 1. assign V545815 = V562613 - 1. assign V779799 = V897237. assign V405126 = V842961 - 1. assign V867184 = V312002 + 1. assign V588122 = V484937 + 1. assign V534715 = V493544 - 1. assign V555818 = V754165 - 1. assign V345789 = V167110 - 1. assign V847089 = V929126 - 1. assign V685032 = V550504 - 1. assign V562613 = V929126 - 1. assign V160193 = V121788. assign V152287 = V407257. assign V302086 = V484937 + 1. assign V105369 = V769711 + 1. assign V807385 = V253224 + 1. assign V032548 = V755980 - 1. assign V407257 = V907776 + 1. assign V550504 = V754165 + 1. assign V340367 = V562613 + 1. assign V225432 = V807385 + 1. assign V193419 = V411222 + 1. assign V511037 = V120452. assign V792063 = V677857 - 1. assign V411222 = V521187 - 1. assign V550373 = V998898 - 1. assign V475102 = V934399 + 1. assign V419976 = V167110 - 1. assign V568993 = V929126 + 1. assign V312002 = V677857 - 1. assign V907776 = V842961 + 1. assign V997686 = V330943 - 1. assign V189255 = V895750 + 1. assign V429106 = V245533. assign V362267 = V128551 + 1. assign V144088 = V037329 - 1. assign V173027 = V372992. assign V998898 = V929126 + 1. assign V755980 = V050080. assign V705487 = V148411 - 1. assign V050190 = V144088 + 1. assign V280085 = V769170 + 1. assign V695422 = V489099 + 1. assign V215892 = V037410. assign V249488 = V144088 - 1. assign V553387 = V937656 - 1. assign V018521 = V626858. assign V228483 = V937656 - 1. assign V117463 = V867184. assign V621224 = V484751. assign V076911 = V484937 - 1. assign V463280 = V409950 - 1. assign V650626 = V251180 - 1. assign V929126 = V493544 + 1. assign V329397 = V493544. assign V739974 = V915934 + 1. assign V372124 = V253224 - 1. assign V842961 = V807385 - 1. assign V182824 = V929126 - 1. assign V572750 = V037329 - 1. assign V885413 = V836928 - 1. assign V763767 = V842961 - 1. assign V096834 = V820028 + 1. assign V629768 = V193419 + 1. assign V050080 = V842961. assign V121788 = V405126 + 1. assign V037410 = V769711. assign V967543 = V148411. assign V616172 = V049042 + 1. assign V037329 = V534715 - 1. assign V683876 = V777621 - 1. assign V000118 = V550504 + 1. assign V895750 = V534715 - 1. assign V754165 = V781273 + 1. assign V809777 = V160193. assign V873456 = V407257. assign V484751 = V037329 + 1. assign V645306 = V341693 + 1. assign V897530 = V340367. assign V269613 = V929126 + 1. assign V777621 = V484937 - 1. assign V915934 = V091510 + 1. assign V539200 = V228483 - 1. assign V559702 = V150981 - 1. assign V455212 = V550373 - 1. assign V846488 = V755980 - 1. assign V359556 = V329397. assign V820028 = V842961 - 1. assign V084355 = V278518 - 1. assign V934399 = V037329 + 1. assign V322076 = V493544 - 1. assign V049042 = V677857 + 1. assign V452193 = 0. assign V481805 = V045019 - 1. assign V769711 = V372124 + 1. assign V043250 = V809777 + 1. assign V367341 = V321548 - 1. assign V489099 = V895750 - 1. assign V209101 = V179215 - 1. assign V555321 = V555818 + 1. assign V091510 = V769170 - 1. assign V677857 = V167110. assign V183065 = V755980 + 1. assign V760394 = V037410 - 1. assign V521187 = V820028. assign V363972 = V493544. assign V897237 = V163820 + 1. assign V769170 = V037329 - 1. assign V150981 = V217091 - 1. assign V474094 = V345789. assign V642858 = V755980. assign V783707 = V049042 + 1. assign V516378 = V121788 + 1. assign V179215 = V703586 + 1. assign V049458 = V572750. assign V201590 = V340367 - 1. assign V937656 = V897237 + 1. assign V484937 = V754165 - 1. assign V278518 = V018521 + 1. assign V909349 = V215892 - 1. assign V377149 = V452193. assign V117298 = V809777. assign V128551 = V160193. assign V330943 = V937656 + 1. assign V148411 = V555321. assign V786995 = V769170. assign V253224 = V167110. assign V210493 = V201590 - 1. assign V245533 = V484751. assign V937473 = V474094 + 1. assign V513041 = V484937. assign V120452 = V249488 - 1. assign V703586 = V429106 + 1. assign V921052 = V616172. assign V902406 = V489099. assign V251180 = V050080 - 1. assign V632280 = V792063 - 1. assign V689223 = V595145 - 1. assign V341693 = V163820. assign V454259 = V201590 - 1. assign V694020 = V201590 + 1. assign V669575 = V695422 + 1. assign V595145 = V873456. assign V421047 = V929126.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV452193 = 0;\n\nFrom these direct assignment(s), we have: \nV377149 = V452193 = 0;\nNo other variables can be derived from V377149;\nNo other variables can be derived from V452193;\n\nNow we have done all the calculations. Derived variables are:\nV452193 = 0;\nV377149 = 0;\n\nNow we have finished this problem. ANSWER:\nV452193, V377149\n", "role": "assistant" } ]

[ "V834222", "V962483" ]

[ { "content": "<context>\nassign V433863 = V168077 + 1. assign V647696 = V071669 + 1. assign V058186 = V645132. assign V218516 = V745918 + 1. assign V360694 = V940894 - 1. assign V873352 = V066429 + 1. assign V129797 = V785037 + 1. assign V444769 = V660388 + 1. assign V235038 = V449826 - 1. assign V450248 = V964551 + 1. assign V956035 = V964551 - 1. assign V461586 = V254061 + 1. assign V674473 = V785037 + 1. assign V664336 = V450248 + 1. assign V755766 = V140106 - 1. assign V225588 = V265879 - 1. assign V268025 = V611309 + 1. assign V964551 = V449826. assign V535421 = V461586 + 1. assign V646277 = V236409 - 1. assign V717196 = V151943 - 1. assign V660388 = V333899 + 1. assign V333899 = V611309. assign V122655 = V782194 + 1. assign V779660 = V256595 + 1. assign V782194 = V683132 + 1. assign V934642 = V982967 - 1. assign V203429 = V461586 + 1. assign V982967 = V683132. assign V911796 = V255118. assign V929942 = V061552 - 1. assign V347004 = V168077 + 1. assign V966436 = V070428 + 1. assign V582653 = V372560 + 1. assign V108638 = V066429. assign V095919 = V070428. assign V633529 = V466854 + 1. assign V282511 = V638743 - 1. assign V285032 = V719199 + 1. assign V843129 = V531515 + 1. assign V353854 = V779660. assign V698711 = V353854 + 1. assign V645132 = V398199. assign V638743 = V720438 + 1. assign V990135 = V450248 - 1. assign V156983 = V140106. assign V963582 = V911796 - 1. assign V476332 = V168077 + 1. assign V307076 = V637967 + 1. assign V540898 = V929942 - 1. assign V544137 = V449826 + 1. assign V576878 = V755766 + 1. assign V256595 = V225527 + 1. assign V039041 = V988749 + 1. assign V764613 = V720438 + 1. assign V281067 = V307076 - 1. assign V041408 = V053359 + 1. assign V480308 = V087031. assign V682039 = V066429 + 1. assign V719199 = V449826. assign V716248 = V265879. assign V940894 = V168077. assign V471522 = V745918. assign V242139 = V255118 - 1. assign V637967 = V673964 - 1. assign V381101 = V449826. assign V343361 = V720438. assign V814874 = V168077 + 1. assign V908828 = V471522. assign V806042 = V544137 - 1. assign V372560 = V702863 + 1. assign V398199 = V087031 - 1. assign V805287 = V022630 + 1. assign V648457 = V611309. assign V394339 = V108638 - 1. assign V151943 = V552614. assign V081957 = V911796 + 1. assign V129459 = V698711 - 1. assign V260261 = V281016 + 1. assign V003248 = V956035 + 1. assign V087031 = V966956. assign V005801 = V940894 - 1. assign V254061 = V940894. assign V702863 = V928591. assign V785037 = V381101 + 1. assign V147007 = V664336. assign V748782 = V629969 + 1. assign V398177 = V038409 + 1. assign V061552 = V476332 - 1. assign V022630 = V156983 + 1. assign V988749 = V066429. assign V738287 = V637967 + 1. assign V686149 = V719199. assign V962483 = V834222. assign V572707 = V450248 - 1. assign V436503 = V724922. assign V265879 = V574176 + 1. assign V097245 = V061552 - 1. assign V588946 = V203429 - 1. assign V724922 = V629969. assign V180564 = V964551. assign V377256 = V873352 + 1. assign V611309 = V956035. assign V364768 = V398199 - 1. assign V281016 = V686149. assign V029105 = V038409 + 1. assign V592153 = V480094 - 1. assign V140106 = V964551 - 1. assign V255118 = V574176. assign V834222 = 7. assign V714896 = V574176 + 1. assign V236409 = V433863 + 1. assign V774361 = V285032 - 1. assign V933720 = V190187. assign V574176 = V347004. assign V190187 = V147007. assign V070428 = V982967. assign V683132 = V347004. assign V254969 = V471522 - 1. assign V242182 = V081957. assign V928591 = V719199 + 1. assign V531515 = V966956 + 1. assign V071669 = V147007 + 1. assign V716512 = V333899 + 1. assign V413013 = V282511 + 1. assign V309692 = V589499 + 1. assign V664865 = V806042 - 1. assign V416399 = V066429 + 1. assign V066429 = V147007 + 1. assign V561483 = V664336 + 1. assign V745918 = V070428 - 1. assign V723745 = V282511 + 1. assign V720438 = V333899 + 1. assign V742220 = V683132 - 1. assign V996575 = V637967 + 1. assign V449826 = V168077 - 1. assign V421940 = V929942. assign V038409 = V720438 + 1. assign V100767 = V265879 - 1. assign V850144 = V254061 + 1. assign V540297 = V449826 - 1. assign V552614 = V129797. assign V474840 = V746375 + 1. assign V927016 = V129797 + 1. assign V629969 = V236409 + 1. assign V277564 = V190187 - 1. assign V632311 = V755766 + 1. assign V761802 = V129797. assign V752646 = V476332 - 1. assign V713913 = V398199. assign V589499 = V433863. assign V480094 = V940894 - 1. assign V225527 = V461586 - 1. assign V673964 = V544137. assign V002386 = V873352 - 1. assign V089929 = V333899 + 1. assign V266397 = V785037 - 1. assign V332684 = V235038 - 1. assign V666271 = V360694 - 1. assign V465200 = V347004 - 1. assign V966956 = V347004 + 1. assign V822740 = V956035 + 1. assign V682414 = V719199 + 1. assign V813799 = V002386 - 1. assign V746375 = V940894. assign V053359 = V929942 - 1. assign V730592 = V742220. assign V523627 = V822740. assign V978327 = V122655 + 1. assign V466854 = V129797. assign V840349 = V716248 - 1. assign V297727 = V840349.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V433863 = V168077 + 1. assign V647696 = V071669 + 1. assign V058186 = V645132. assign V218516 = V745918 + 1. assign V360694 = V940894 - 1. assign V873352 = V066429 + 1. assign V129797 = V785037 + 1. assign V444769 = V660388 + 1. assign V235038 = V449826 - 1. assign V450248 = V964551 + 1. assign V956035 = V964551 - 1. assign V461586 = V254061 + 1. assign V674473 = V785037 + 1. assign V664336 = V450248 + 1. assign V755766 = V140106 - 1. assign V225588 = V265879 - 1. assign V268025 = V611309 + 1. assign V964551 = V449826. assign V535421 = V461586 + 1. assign V646277 = V236409 - 1. assign V717196 = V151943 - 1. assign V660388 = V333899 + 1. assign V333899 = V611309. assign V122655 = V782194 + 1. assign V779660 = V256595 + 1. assign V782194 = V683132 + 1. assign V934642 = V982967 - 1. assign V203429 = V461586 + 1. assign V982967 = V683132. assign V911796 = V255118. assign V929942 = V061552 - 1. assign V347004 = V168077 + 1. assign V966436 = V070428 + 1. assign V582653 = V372560 + 1. assign V108638 = V066429. assign V095919 = V070428. assign V633529 = V466854 + 1. assign V282511 = V638743 - 1. assign V285032 = V719199 + 1. assign V843129 = V531515 + 1. assign V353854 = V779660. assign V698711 = V353854 + 1. assign V645132 = V398199. assign V638743 = V720438 + 1. assign V990135 = V450248 - 1. assign V156983 = V140106. assign V963582 = V911796 - 1. assign V476332 = V168077 + 1. assign V307076 = V637967 + 1. assign V540898 = V929942 - 1. assign V544137 = V449826 + 1. assign V576878 = V755766 + 1. assign V256595 = V225527 + 1. assign V039041 = V988749 + 1. assign V764613 = V720438 + 1. assign V281067 = V307076 - 1. assign V041408 = V053359 + 1. assign V480308 = V087031. assign V682039 = V066429 + 1. assign V719199 = V449826. assign V716248 = V265879. assign V940894 = V168077. assign V471522 = V745918. assign V242139 = V255118 - 1. assign V637967 = V673964 - 1. assign V381101 = V449826. assign V343361 = V720438. assign V814874 = V168077 + 1. assign V908828 = V471522. assign V806042 = V544137 - 1. assign V372560 = V702863 + 1. assign V398199 = V087031 - 1. assign V805287 = V022630 + 1. assign V648457 = V611309. assign V394339 = V108638 - 1. assign V151943 = V552614. assign V081957 = V911796 + 1. assign V129459 = V698711 - 1. assign V260261 = V281016 + 1. assign V003248 = V956035 + 1. assign V087031 = V966956. assign V005801 = V940894 - 1. assign V254061 = V940894. assign V702863 = V928591. assign V785037 = V381101 + 1. assign V147007 = V664336. assign V748782 = V629969 + 1. assign V398177 = V038409 + 1. assign V061552 = V476332 - 1. assign V022630 = V156983 + 1. assign V988749 = V066429. assign V738287 = V637967 + 1. assign V686149 = V719199. assign V962483 = V834222. assign V572707 = V450248 - 1. assign V436503 = V724922. assign V265879 = V574176 + 1. assign V097245 = V061552 - 1. assign V588946 = V203429 - 1. assign V724922 = V629969. assign V180564 = V964551. assign V377256 = V873352 + 1. assign V611309 = V956035. assign V364768 = V398199 - 1. assign V281016 = V686149. assign V029105 = V038409 + 1. assign V592153 = V480094 - 1. assign V140106 = V964551 - 1. assign V255118 = V574176. assign V834222 = 7. assign V714896 = V574176 + 1. assign V236409 = V433863 + 1. assign V774361 = V285032 - 1. assign V933720 = V190187. assign V574176 = V347004. assign V190187 = V147007. assign V070428 = V982967. assign V683132 = V347004. assign V254969 = V471522 - 1. assign V242182 = V081957. assign V928591 = V719199 + 1. assign V531515 = V966956 + 1. assign V071669 = V147007 + 1. assign V716512 = V333899 + 1. assign V413013 = V282511 + 1. assign V309692 = V589499 + 1. assign V664865 = V806042 - 1. assign V416399 = V066429 + 1. assign V066429 = V147007 + 1. assign V561483 = V664336 + 1. assign V745918 = V070428 - 1. assign V723745 = V282511 + 1. assign V720438 = V333899 + 1. assign V742220 = V683132 - 1. assign V996575 = V637967 + 1. assign V449826 = V168077 - 1. assign V421940 = V929942. assign V038409 = V720438 + 1. assign V100767 = V265879 - 1. assign V850144 = V254061 + 1. assign V540297 = V449826 - 1. assign V552614 = V129797. assign V474840 = V746375 + 1. assign V927016 = V129797 + 1. assign V629969 = V236409 + 1. assign V277564 = V190187 - 1. assign V632311 = V755766 + 1. assign V761802 = V129797. assign V752646 = V476332 - 1. assign V713913 = V398199. assign V589499 = V433863. assign V480094 = V940894 - 1. assign V225527 = V461586 - 1. assign V673964 = V544137. assign V002386 = V873352 - 1. assign V089929 = V333899 + 1. assign V266397 = V785037 - 1. assign V332684 = V235038 - 1. assign V666271 = V360694 - 1. assign V465200 = V347004 - 1. assign V966956 = V347004 + 1. assign V822740 = V956035 + 1. assign V682414 = V719199 + 1. assign V813799 = V002386 - 1. assign V746375 = V940894. assign V053359 = V929942 - 1. assign V730592 = V742220. assign V523627 = V822740. assign V978327 = V122655 + 1. assign V466854 = V129797. assign V840349 = V716248 - 1. assign V297727 = V840349.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV834222 = 7;\n\nFrom these direct assignment(s), we have: \nV962483 = V834222 = 7;\nNo other variables can be derived from V962483;\nNo other variables can be derived from V834222;\n\nNow we have done all the calculations. Derived variables are:\nV834222 = 7;\nV962483 = 7;\n\nNow we have finished this problem. ANSWER:\nV834222, V962483\n", "role": "assistant" } ]

[ "V105456" ]

[ { "content": "<context>\nassign V992952 = V237341 - 1. assign V252498 = V105730. assign V574986 = V086164 + 1. assign V321757 = V883825 + 1. assign V065686 = V553118 - 1. assign V528420 = V629824 + 1. assign V492194 = V287986 + 1. assign V358942 = V141411 - 1. assign V760207 = V883825. assign V703453 = V086164 - 1. assign V505601 = V520961 - 1. assign V688633 = V050402. assign V295331 = V088249. assign V757228 = V963850 - 1. assign V879422 = V742078. assign V865991 = V532101 - 1. assign V952000 = V532101 - 1. assign V580746 = V553641 + 1. assign V317799 = V285388. assign V844688 = V136543 - 1. assign V834863 = V287986 + 1. assign V629824 = V317799. assign V285388 = V037584 + 1. assign V600483 = V029218 - 1. assign V746513 = V865991. assign V365220 = V569720. assign V523733 = V892661 + 1. assign V141411 = V230732. assign V325020 = V820964 - 1. assign V913148 = V265789 + 1. assign V555525 = V952000 + 1. assign V820964 = V287986 - 1. assign V211170 = V037584. assign V054739 = V343489 - 1. assign V030771 = V757149. assign V258933 = V298780. assign V849110 = V553641 + 1. assign V593995 = V211170. assign V746036 = V677764 + 1. assign V334415 = V920163 - 1. assign V105456 = 5. assign V584285 = V165150 - 1. assign V789034 = V219243 - 1. assign V853854 = V079433 - 1. assign V265789 = V879422 - 1. assign V343489 = V629824 - 1. assign V532993 = V109610. assign V187256 = V652025 + 1. assign V128173 = V144670 + 1. assign V266440 = V536112. assign V540688 = V105456 - 1. assign V635232 = V030771 - 1. assign V532101 = V285388 + 1. assign V219243 = V079433. assign V239034 = V285388 + 1. assign V963850 = V050402. assign V892661 = V553641. assign V344870 = V128173 - 1. assign V885192 = V322171. assign V061889 = V029218 + 1. assign V644729 = V834863 + 1. assign V906438 = V029218. assign V827884 = V569720 - 1. assign V365369 = V217870 + 1. assign V029218 = V885192 + 1. assign V279693 = V922707 - 1. assign V669487 = V672101 - 1. assign V890141 = V469781. assign V981276 = V952000 - 1. assign V665370 = V827884 - 1. assign V100790 = V580746 - 1. assign V445023 = V061889. assign V181588 = V144670. assign V751869 = V144670 - 1. assign V672101 = V742078 + 1. assign V240879 = V965754 - 1. assign V783384 = V865991 - 1. assign V389794 = V882388. assign V287986 = V317799 - 1. assign V983465 = V865991 - 1. assign V553118 = V555525 + 1. assign V632011 = V217870. assign V051650 = V285941 + 1. assign V902169 = V675322 - 1. assign V837024 = V555525. assign V729660 = V516071. assign V217870 = V211170. assign V370444 = V747329 + 1. assign V282189 = V806323 + 1. assign V911630 = V325020 + 1. assign V144670 = V629824 - 1. assign V257074 = V952000 - 1. assign V121743 = V109610. assign V315166 = V806323 + 1. assign V722983 = V117015 + 1. assign V882899 = V983465 - 1. assign V469781 = V555525 - 1. assign V004588 = V353726 - 1. assign V230732 = V806323 - 1. assign V742691 = V746036 + 1. assign V643780 = V675322 + 1. assign V088249 = V923793. assign V050402 = V532101 + 1. assign V332641 = V186336 - 1. assign V603571 = V920163 + 1. assign V975631 = V677764 - 1. assign V209792 = V865991. assign V402513 = V675322 - 1. assign V450580 = V079433 - 1. assign V553641 = V037584 - 1. assign V004748 = V952000 + 1. assign V569720 = V117015 + 1. assign V641560 = V844688 - 1. assign V322171 = V050402 - 1. assign V883825 = V757228 + 1. assign V237341 = V677764. assign V516071 = V209792 - 1. assign V677764 = V298780 + 1. assign V626504 = V298780 - 1. assign V922707 = V144670 - 1. assign V923793 = V037584. assign V742078 = V239034. assign V520961 = V516071 + 1. assign V186336 = V144670 + 1. assign V652025 = V629824 + 1. assign V757149 = V629824 - 1. assign V639739 = V983465. assign V444517 = V266440 + 1. assign V618264 = V922707 + 1. assign V353726 = V213104 + 1. assign V771823 = V079433 - 1. assign V138060 = V209792 - 1. assign V288817 = V219243 + 1. assign V882388 = V117015 + 1. assign V695985 = V675322 + 1. assign V285941 = V037584 - 1. assign V136543 = V853854 + 1. assign V896583 = V322171 - 1. assign V105730 = V747329 - 1. assign V893563 = V635232. assign V086164 = V492194 + 1. assign V298780 = V211170 + 1. assign V506289 = V315166 + 1. assign V109610 = V757149. assign V104589 = V569720 + 1. assign V747329 = V037584 + 1. assign V328440 = V865991 + 1. assign V888638 = V879422. assign V277853 = V469781 + 1. assign V946253 = V328440 - 1. assign V164866 = V051650 - 1. assign V536112 = V963850 + 1. assign V965754 = V983465. assign V018914 = V952000. assign V662598 = V946253 - 1. assign V675322 = V257074 + 1. assign V213104 = V896583 + 1. assign V399262 = V211170 + 1. assign V156296 = V257725 - 1. assign V644887 = V553118 + 1. assign V079433 = V532101 + 1. assign V897387 = V288817 + 1. assign V165150 = V820964 + 1. assign V691953 = V946253. assign V973293 = V136543. assign V920163 = V757228 + 1. assign V406170 = V703453 - 1. assign V914866 = V128173 + 1. assign V117015 = V287986 + 1. assign V957614 = V883825 + 1. assign V806323 = V555525 - 1. assign V257725 = V923793 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V992952 = V237341 - 1. assign V252498 = V105730. assign V574986 = V086164 + 1. assign V321757 = V883825 + 1. assign V065686 = V553118 - 1. assign V528420 = V629824 + 1. assign V492194 = V287986 + 1. assign V358942 = V141411 - 1. assign V760207 = V883825. assign V703453 = V086164 - 1. assign V505601 = V520961 - 1. assign V688633 = V050402. assign V295331 = V088249. assign V757228 = V963850 - 1. assign V879422 = V742078. assign V865991 = V532101 - 1. assign V952000 = V532101 - 1. assign V580746 = V553641 + 1. assign V317799 = V285388. assign V844688 = V136543 - 1. assign V834863 = V287986 + 1. assign V629824 = V317799. assign V285388 = V037584 + 1. assign V600483 = V029218 - 1. assign V746513 = V865991. assign V365220 = V569720. assign V523733 = V892661 + 1. assign V141411 = V230732. assign V325020 = V820964 - 1. assign V913148 = V265789 + 1. assign V555525 = V952000 + 1. assign V820964 = V287986 - 1. assign V211170 = V037584. assign V054739 = V343489 - 1. assign V030771 = V757149. assign V258933 = V298780. assign V849110 = V553641 + 1. assign V593995 = V211170. assign V746036 = V677764 + 1. assign V334415 = V920163 - 1. assign V105456 = 5. assign V584285 = V165150 - 1. assign V789034 = V219243 - 1. assign V853854 = V079433 - 1. assign V265789 = V879422 - 1. assign V343489 = V629824 - 1. assign V532993 = V109610. assign V187256 = V652025 + 1. assign V128173 = V144670 + 1. assign V266440 = V536112. assign V540688 = V105456 - 1. assign V635232 = V030771 - 1. assign V532101 = V285388 + 1. assign V219243 = V079433. assign V239034 = V285388 + 1. assign V963850 = V050402. assign V892661 = V553641. assign V344870 = V128173 - 1. assign V885192 = V322171. assign V061889 = V029218 + 1. assign V644729 = V834863 + 1. assign V906438 = V029218. assign V827884 = V569720 - 1. assign V365369 = V217870 + 1. assign V029218 = V885192 + 1. assign V279693 = V922707 - 1. assign V669487 = V672101 - 1. assign V890141 = V469781. assign V981276 = V952000 - 1. assign V665370 = V827884 - 1. assign V100790 = V580746 - 1. assign V445023 = V061889. assign V181588 = V144670. assign V751869 = V144670 - 1. assign V672101 = V742078 + 1. assign V240879 = V965754 - 1. assign V783384 = V865991 - 1. assign V389794 = V882388. assign V287986 = V317799 - 1. assign V983465 = V865991 - 1. assign V553118 = V555525 + 1. assign V632011 = V217870. assign V051650 = V285941 + 1. assign V902169 = V675322 - 1. assign V837024 = V555525. assign V729660 = V516071. assign V217870 = V211170. assign V370444 = V747329 + 1. assign V282189 = V806323 + 1. assign V911630 = V325020 + 1. assign V144670 = V629824 - 1. assign V257074 = V952000 - 1. assign V121743 = V109610. assign V315166 = V806323 + 1. assign V722983 = V117015 + 1. assign V882899 = V983465 - 1. assign V469781 = V555525 - 1. assign V004588 = V353726 - 1. assign V230732 = V806323 - 1. assign V742691 = V746036 + 1. assign V643780 = V675322 + 1. assign V088249 = V923793. assign V050402 = V532101 + 1. assign V332641 = V186336 - 1. assign V603571 = V920163 + 1. assign V975631 = V677764 - 1. assign V209792 = V865991. assign V402513 = V675322 - 1. assign V450580 = V079433 - 1. assign V553641 = V037584 - 1. assign V004748 = V952000 + 1. assign V569720 = V117015 + 1. assign V641560 = V844688 - 1. assign V322171 = V050402 - 1. assign V883825 = V757228 + 1. assign V237341 = V677764. assign V516071 = V209792 - 1. assign V677764 = V298780 + 1. assign V626504 = V298780 - 1. assign V922707 = V144670 - 1. assign V923793 = V037584. assign V742078 = V239034. assign V520961 = V516071 + 1. assign V186336 = V144670 + 1. assign V652025 = V629824 + 1. assign V757149 = V629824 - 1. assign V639739 = V983465. assign V444517 = V266440 + 1. assign V618264 = V922707 + 1. assign V353726 = V213104 + 1. assign V771823 = V079433 - 1. assign V138060 = V209792 - 1. assign V288817 = V219243 + 1. assign V882388 = V117015 + 1. assign V695985 = V675322 + 1. assign V285941 = V037584 - 1. assign V136543 = V853854 + 1. assign V896583 = V322171 - 1. assign V105730 = V747329 - 1. assign V893563 = V635232. assign V086164 = V492194 + 1. assign V298780 = V211170 + 1. assign V506289 = V315166 + 1. assign V109610 = V757149. assign V104589 = V569720 + 1. assign V747329 = V037584 + 1. assign V328440 = V865991 + 1. assign V888638 = V879422. assign V277853 = V469781 + 1. assign V946253 = V328440 - 1. assign V164866 = V051650 - 1. assign V536112 = V963850 + 1. assign V965754 = V983465. assign V018914 = V952000. assign V662598 = V946253 - 1. assign V675322 = V257074 + 1. assign V213104 = V896583 + 1. assign V399262 = V211170 + 1. assign V156296 = V257725 - 1. assign V644887 = V553118 + 1. assign V079433 = V532101 + 1. assign V897387 = V288817 + 1. assign V165150 = V820964 + 1. assign V691953 = V946253. assign V973293 = V136543. assign V920163 = V757228 + 1. assign V406170 = V703453 - 1. assign V914866 = V128173 + 1. assign V117015 = V287986 + 1. assign V957614 = V883825 + 1. assign V806323 = V555525 - 1. assign V257725 = V923793 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV105456 = 5;\n\nFrom these direct assignment(s), we have: \nV540688 = V105456 - 1 = 5 - 1 =4;\nNo other variables can be derived from V540688;\nNo other variables can be derived from V105456;\n\nNow we have done all the calculations. Derived variables are:\nV105456 = 5;\nV540688 = 4;\n\nNow we have finished this problem. ANSWER:\nV105456\n", "role": "assistant" } ]

[ "V572947", "V986995" ]

[ { "content": "<context>\nassign V418773 = V126738. assign V534784 = V780177 - 1. assign V458829 = V584237 - 1. assign V029689 = V780177 + 1. assign V112150 = V419358 - 1. assign V343525 = V338687 + 1. assign V576653 = V278914 - 1. assign V237731 = V047048 + 1. assign V409026 = V789565. assign V847018 = V255877. assign V055956 = V919386 + 1. assign V537462 = V356033. assign V381545 = V666535 - 1. assign V065496 = V116348. assign V539860 = V278914. assign V951822 = V029689. assign V780177 = V544691 + 1. assign V614224 = V418022 + 1. assign V822541 = V576653. assign V664193 = V830567. assign V271110 = V656089. assign V610878 = V255877 + 1. assign V986995 = V572947. assign V126738 = V455649. assign V267700 = V926348 + 1. assign V255877 = V411399. assign V191954 = V218180 - 1. assign V116348 = V782086 + 1. assign V303620 = V419358. assign V831165 = V508141 - 1. assign V881390 = V830731 + 1. assign V278914 = V652166 + 1. assign V234533 = V436887. assign V091732 = V433859 + 1. assign V280536 = V954377 - 1. assign V760248 = V995883. assign V198178 = V652166 - 1. assign V613472 = V489809 - 1. assign V269236 = V822541 - 1. assign V279136 = V383517. assign V433859 = V070058. assign V830731 = V465593 - 1. assign V653253 = V419962 - 1. assign V210347 = V995883. assign V618647 = V369229 - 1. assign V668862 = V940013 + 1. assign V411399 = V189058. assign V418022 = V782771 + 1. assign V376350 = V207486 - 1. assign V841812 = V489809 + 1. assign V547877 = V822541 - 1. assign V231200 = V587186 + 1. assign V136310 = V303620 + 1. assign V236287 = V761765 - 1. assign V940013 = V383517 - 1. assign V465593 = V544691. assign V943755 = V780177. assign V588590 = V409026 - 1. assign V636950 = V652166. assign V742275 = V218180 + 1. assign V738731 = V847018. assign V919386 = V782771 - 1. assign V418403 = V229408 - 1. assign V090395 = V409026. assign V455649 = V637648 - 1. assign V419358 = V880073 + 1. assign V518620 = V584237. assign V572947 = 5. assign V218180 = V652166 - 1. assign V905680 = V164908 - 1. assign V782086 = V898582 + 1. assign V164908 = V672834 + 1. assign V415479 = V351258 - 1. assign V965234 = V155661 + 1. assign V189058 = V920002. assign V092980 = V229408 + 1. assign V926348 = V485969 - 1. assign V856151 = V782086. assign V012147 = V666535 - 1. assign V539782 = V789565 - 1. assign V486073 = V940013 + 1. assign V544691 = V383517 + 1. assign V650121 = V229408 + 1. assign V115273 = V478143 + 1. assign V973090 = V919386 + 1. assign V157319 = V970289 - 1. assign V564303 = V807397 - 1. assign V648273 = V581370. assign V478143 = V411399. assign V356033 = V458829. assign V285785 = V458829. assign V428450 = V285798 - 1. assign V920002 = V544691. assign V264729 = V584237. assign V415398 = V231200. assign V584237 = V485969 + 1. assign V212295 = V436887. assign V898582 = V926348 - 1. assign V774987 = V954377 - 1. assign V344139 = V413423. assign V795018 = V584237 + 1. assign V047048 = V880073 - 1. assign V666535 = V485969 + 1. assign V251261 = V090395 - 1. assign V383517 = V584237 - 1. assign V672834 = V047048 + 1. assign V581370 = V369229 + 1. assign V796853 = V344139. assign V995883 = V415479 - 1. assign V707258 = V267700 - 1. assign V436887 = V970289 + 1. assign V587186 = V338687. assign V338687 = V458829 - 1. assign V229408 = V411399 - 1. assign V494092 = V920081 - 1. assign V202942 = V419358 + 1. assign V830567 = V413423 - 1. assign V848088 = V881390 - 1. assign V141022 = V472556 + 1. assign V419962 = V780177 - 1. assign V789565 = V666535. assign V048492 = V070058. assign V252733 = V782771. assign V788334 = V970289. assign V153976 = V465593 + 1. assign V285798 = V478143. assign V489809 = V666535 - 1. assign V970289 = V458829 - 1. assign V652166 = V584237 - 1. assign V369229 = V218180. assign V888837 = V472556. assign V945945 = V458829 - 1. assign V370254 = V465593 + 1. assign V880073 = V218180 - 1. assign V614366 = V905680 - 1. assign V491169 = V539782 + 1. assign V920081 = V789565 + 1. assign V187645 = V210347. assign V656089 = V055956 + 1. assign V398286 = V795018. assign V789062 = V830567 - 1. assign V477393 = V920081. assign V155661 = V590424 - 1. assign V451364 = V576653. assign V508141 = V048492. assign V472556 = V926348. assign V761765 = V807397. assign V954377 = V637648. assign V390927 = V780177 + 1. assign V637648 = V212295. assign V219667 = V780177 + 1. assign V782771 = V652166 + 1. assign V500948 = V742275. assign V807397 = V409026. assign V897371 = V285798. assign V055847 = V343525 + 1. assign V141557 = V564303 - 1. assign V413423 = V383517 + 1. assign V987339 = V500948. assign V970982 = V264729. assign V410260 = V048492 + 1. assign V884290 = V091732 + 1. assign V570036 = V383517. assign V505639 = V478143. assign V484784 = V973090 - 1. assign V207486 = V351258. assign V261934 = V500948 - 1. assign V590424 = V472556 + 1. assign V351258 = V789565. assign V897918 = V943755 - 1. assign V070058 = V212295 - 1. assign V497311 = V570036.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V418773 = V126738. assign V534784 = V780177 - 1. assign V458829 = V584237 - 1. assign V029689 = V780177 + 1. assign V112150 = V419358 - 1. assign V343525 = V338687 + 1. assign V576653 = V278914 - 1. assign V237731 = V047048 + 1. assign V409026 = V789565. assign V847018 = V255877. assign V055956 = V919386 + 1. assign V537462 = V356033. assign V381545 = V666535 - 1. assign V065496 = V116348. assign V539860 = V278914. assign V951822 = V029689. assign V780177 = V544691 + 1. assign V614224 = V418022 + 1. assign V822541 = V576653. assign V664193 = V830567. assign V271110 = V656089. assign V610878 = V255877 + 1. assign V986995 = V572947. assign V126738 = V455649. assign V267700 = V926348 + 1. assign V255877 = V411399. assign V191954 = V218180 - 1. assign V116348 = V782086 + 1. assign V303620 = V419358. assign V831165 = V508141 - 1. assign V881390 = V830731 + 1. assign V278914 = V652166 + 1. assign V234533 = V436887. assign V091732 = V433859 + 1. assign V280536 = V954377 - 1. assign V760248 = V995883. assign V198178 = V652166 - 1. assign V613472 = V489809 - 1. assign V269236 = V822541 - 1. assign V279136 = V383517. assign V433859 = V070058. assign V830731 = V465593 - 1. assign V653253 = V419962 - 1. assign V210347 = V995883. assign V618647 = V369229 - 1. assign V668862 = V940013 + 1. assign V411399 = V189058. assign V418022 = V782771 + 1. assign V376350 = V207486 - 1. assign V841812 = V489809 + 1. assign V547877 = V822541 - 1. assign V231200 = V587186 + 1. assign V136310 = V303620 + 1. assign V236287 = V761765 - 1. assign V940013 = V383517 - 1. assign V465593 = V544691. assign V943755 = V780177. assign V588590 = V409026 - 1. assign V636950 = V652166. assign V742275 = V218180 + 1. assign V738731 = V847018. assign V919386 = V782771 - 1. assign V418403 = V229408 - 1. assign V090395 = V409026. assign V455649 = V637648 - 1. assign V419358 = V880073 + 1. assign V518620 = V584237. assign V572947 = 5. assign V218180 = V652166 - 1. assign V905680 = V164908 - 1. assign V782086 = V898582 + 1. assign V164908 = V672834 + 1. assign V415479 = V351258 - 1. assign V965234 = V155661 + 1. assign V189058 = V920002. assign V092980 = V229408 + 1. assign V926348 = V485969 - 1. assign V856151 = V782086. assign V012147 = V666535 - 1. assign V539782 = V789565 - 1. assign V486073 = V940013 + 1. assign V544691 = V383517 + 1. assign V650121 = V229408 + 1. assign V115273 = V478143 + 1. assign V973090 = V919386 + 1. assign V157319 = V970289 - 1. assign V564303 = V807397 - 1. assign V648273 = V581370. assign V478143 = V411399. assign V356033 = V458829. assign V285785 = V458829. assign V428450 = V285798 - 1. assign V920002 = V544691. assign V264729 = V584237. assign V415398 = V231200. assign V584237 = V485969 + 1. assign V212295 = V436887. assign V898582 = V926348 - 1. assign V774987 = V954377 - 1. assign V344139 = V413423. assign V795018 = V584237 + 1. assign V047048 = V880073 - 1. assign V666535 = V485969 + 1. assign V251261 = V090395 - 1. assign V383517 = V584237 - 1. assign V672834 = V047048 + 1. assign V581370 = V369229 + 1. assign V796853 = V344139. assign V995883 = V415479 - 1. assign V707258 = V267700 - 1. assign V436887 = V970289 + 1. assign V587186 = V338687. assign V338687 = V458829 - 1. assign V229408 = V411399 - 1. assign V494092 = V920081 - 1. assign V202942 = V419358 + 1. assign V830567 = V413423 - 1. assign V848088 = V881390 - 1. assign V141022 = V472556 + 1. assign V419962 = V780177 - 1. assign V789565 = V666535. assign V048492 = V070058. assign V252733 = V782771. assign V788334 = V970289. assign V153976 = V465593 + 1. assign V285798 = V478143. assign V489809 = V666535 - 1. assign V970289 = V458829 - 1. assign V652166 = V584237 - 1. assign V369229 = V218180. assign V888837 = V472556. assign V945945 = V458829 - 1. assign V370254 = V465593 + 1. assign V880073 = V218180 - 1. assign V614366 = V905680 - 1. assign V491169 = V539782 + 1. assign V920081 = V789565 + 1. assign V187645 = V210347. assign V656089 = V055956 + 1. assign V398286 = V795018. assign V789062 = V830567 - 1. assign V477393 = V920081. assign V155661 = V590424 - 1. assign V451364 = V576653. assign V508141 = V048492. assign V472556 = V926348. assign V761765 = V807397. assign V954377 = V637648. assign V390927 = V780177 + 1. assign V637648 = V212295. assign V219667 = V780177 + 1. assign V782771 = V652166 + 1. assign V500948 = V742275. assign V807397 = V409026. assign V897371 = V285798. assign V055847 = V343525 + 1. assign V141557 = V564303 - 1. assign V413423 = V383517 + 1. assign V987339 = V500948. assign V970982 = V264729. assign V410260 = V048492 + 1. assign V884290 = V091732 + 1. assign V570036 = V383517. assign V505639 = V478143. assign V484784 = V973090 - 1. assign V207486 = V351258. assign V261934 = V500948 - 1. assign V590424 = V472556 + 1. assign V351258 = V789565. assign V897918 = V943755 - 1. assign V070058 = V212295 - 1. assign V497311 = V570036.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV572947 = 5;\n\nFrom these direct assignment(s), we have: \nV986995 = V572947 = 5;\nNo other variables can be derived from V986995;\nNo other variables can be derived from V572947;\n\nNow we have done all the calculations. Derived variables are:\nV572947 = 5;\nV986995 = 5;\n\nNow we have finished this problem. ANSWER:\nV572947, V986995\n", "role": "assistant" } ]

[ "V794170" ]

[ { "content": "<context>\nassign V659323 = V993664. assign V185770 = V100244 + 1. assign V875991 = V330973 - 1. assign V525988 = V415021. assign V402899 = V871497 + 1. assign V512071 = V020545 - 1. assign V359129 = V045381 - 1. assign V031256 = V318872 - 1. assign V453105 = V875991 + 1. assign V535958 = V016472. assign V784792 = V100244. assign V120626 = V070135 + 1. assign V823298 = V100739 + 1. assign V193034 = V881017 - 1. assign V662797 = V367541 + 1. assign V100244 = V100739 - 1. assign V583614 = V189969 - 1. assign V309291 = V825602 - 1. assign V910429 = V593117 - 1. assign V703444 = V735883. assign V290607 = V152583. assign V735883 = V013456. assign V677933 = V330973 - 1. assign V613710 = V203081 + 1. assign V502722 = V070135. assign V853829 = V924898 - 1. assign V013058 = V393826 + 1. assign V393826 = V330973 + 1. assign V031162 = V863464 + 1. assign V919603 = V119975 + 1. assign V808347 = V624974. assign V099764 = V268064 + 1. assign V730080 = V971534. assign V646130 = V031256 - 1. assign V219934 = V327824 + 1. assign V981229 = V528118 + 1. assign V688455 = V392905 - 1. assign V020545 = V013456. assign V984060 = V392905 - 1. assign V537043 = V031162. assign V327824 = V367541 - 1. assign V528118 = V944513. assign V993664 = V237970. assign V502968 = V871140 - 1. assign V237970 = V924898. assign V127657 = V887085 - 1. assign V671156 = V208013 + 1. assign V240152 = V650615 - 1. assign V182554 = V013456 - 1. assign V311878 = V237970 + 1. assign V177538 = V330973. assign V742475 = V010500 - 1. assign V349046 = V309291 - 1. assign V836819 = V944513 + 1. assign V929424 = V367541 - 1. assign V184192 = V823298 - 1. assign V152583 = V020545. assign V294143 = V260900 + 1. assign V247295 = V592966 - 1. assign V121205 = V100244. assign V862961 = V331525. assign V417148 = V836819. assign V886853 = V227680 + 1. assign V149423 = V711061 - 1. assign V385954 = V871497. assign V742777 = V055072. assign V338485 = V639827 - 1. assign V227680 = V121205. assign V013456 = V823298. assign V871140 = V031162 - 1. assign V395691 = V849693 + 1. assign V531080 = V834296 - 1. assign V318872 = V268064 - 1. assign V118576 = V784792 - 1. assign V980114 = V247295 - 1. assign V758175 = V237970. assign V650615 = V875991 + 1. assign V415021 = V367541. assign V499838 = V512071. assign V707800 = V737096. assign V045381 = V247458 - 1. assign V053381 = V502968 + 1. assign V189969 = V436823 + 1. assign V326751 = V205678 + 1. assign V881017 = V593117 - 1. assign V857480 = V100244 + 1. assign V307610 = V853829 + 1. assign V203081 = V010500 + 1. assign V593117 = V635490 + 1. assign V056935 = V808347 - 1. assign V387945 = V013456. assign V783797 = V499838. assign V055072 = V387945. assign V978202 = V784792. assign V282979 = V730080. assign V728038 = V415021 - 1. assign V426661 = V395691 + 1. assign V825602 = V624974 + 1. assign V205678 = V924898. assign V016472 = V247458 + 1. assign V937272 = V035149. assign V083874 = V031162 - 1. assign V175511 = V780175 + 1. assign V231900 = V650615. assign V728202 = V100244 + 1. assign V576428 = V417148 + 1. assign V825446 = V268064. assign V592966 = V260900 + 1. assign V038102 = V863464 - 1. assign V639827 = V924898 - 1. assign V382063 = V924898 + 1. assign V527304 = V327824. assign V429299 = V247458. assign V747298 = V836819 + 1. assign V971534 = V924898 + 1. assign V330973 = V924898. assign V944513 = V268064. assign V737096 = V528118 - 1. assign V794170 = 5. assign V736067 = V387945 + 1. assign V635490 = V924898 + 1. assign V887085 = V929424. assign V473561 = V502968. assign V070135 = V318872 + 1. assign V953000 = V387945. assign V691392 = V367541. assign V746228 = V013456. assign V576558 = V393826 + 1. assign V884033 = V728202 + 1. assign V436823 = V836819. assign V871497 = V070135. assign V993014 = V489673 - 1. assign V901973 = V981229. assign V094502 = V711061 - 1. assign V489673 = V887085 + 1. assign V780175 = V205678 + 1. assign V260900 = V385954 + 1. assign V268064 = V100739 - 1. assign V208013 = V650615 - 1. assign V039138 = V537043 - 1. assign V392905 = V487475. assign V711061 = V836819 + 1. assign V082318 = V728038. assign V982831 = V487475 + 1. assign V755485 = V982831 + 1. assign V119975 = V924898 + 1. assign V454941 = V121205 + 1. assign V044621 = V971534 + 1. assign V100739 = V971534 + 1. assign V383193 = V417148 - 1. assign V744280 = V924898 - 1. assign V340210 = V794170 + 1. assign V010500 = V650615 - 1. assign V477235 = V454941 - 1. assign V863464 = V393826 - 1. assign V984909 = V417148. assign V331525 = V035149 - 1. assign V487475 = V100739. assign V028210 = V728038 - 1. assign V396633 = V871140. assign V834296 = V871140 - 1. assign V601361 = V454941. assign V696158 = V728038 + 1. assign V035149 = V010500 - 1. assign V507492 = V177538 - 1. assign V181615 = V311878 - 1. assign V624974 = V367541 - 1. assign V904929 = V528118 - 1. assign V247458 = V393826. assign V849693 = V487475 - 1. assign V471867 = V742475 + 1. assign V367541 = V836819 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V659323 = V993664. assign V185770 = V100244 + 1. assign V875991 = V330973 - 1. assign V525988 = V415021. assign V402899 = V871497 + 1. assign V512071 = V020545 - 1. assign V359129 = V045381 - 1. assign V031256 = V318872 - 1. assign V453105 = V875991 + 1. assign V535958 = V016472. assign V784792 = V100244. assign V120626 = V070135 + 1. assign V823298 = V100739 + 1. assign V193034 = V881017 - 1. assign V662797 = V367541 + 1. assign V100244 = V100739 - 1. assign V583614 = V189969 - 1. assign V309291 = V825602 - 1. assign V910429 = V593117 - 1. assign V703444 = V735883. assign V290607 = V152583. assign V735883 = V013456. assign V677933 = V330973 - 1. assign V613710 = V203081 + 1. assign V502722 = V070135. assign V853829 = V924898 - 1. assign V013058 = V393826 + 1. assign V393826 = V330973 + 1. assign V031162 = V863464 + 1. assign V919603 = V119975 + 1. assign V808347 = V624974. assign V099764 = V268064 + 1. assign V730080 = V971534. assign V646130 = V031256 - 1. assign V219934 = V327824 + 1. assign V981229 = V528118 + 1. assign V688455 = V392905 - 1. assign V020545 = V013456. assign V984060 = V392905 - 1. assign V537043 = V031162. assign V327824 = V367541 - 1. assign V528118 = V944513. assign V993664 = V237970. assign V502968 = V871140 - 1. assign V237970 = V924898. assign V127657 = V887085 - 1. assign V671156 = V208013 + 1. assign V240152 = V650615 - 1. assign V182554 = V013456 - 1. assign V311878 = V237970 + 1. assign V177538 = V330973. assign V742475 = V010500 - 1. assign V349046 = V309291 - 1. assign V836819 = V944513 + 1. assign V929424 = V367541 - 1. assign V184192 = V823298 - 1. assign V152583 = V020545. assign V294143 = V260900 + 1. assign V247295 = V592966 - 1. assign V121205 = V100244. assign V862961 = V331525. assign V417148 = V836819. assign V886853 = V227680 + 1. assign V149423 = V711061 - 1. assign V385954 = V871497. assign V742777 = V055072. assign V338485 = V639827 - 1. assign V227680 = V121205. assign V013456 = V823298. assign V871140 = V031162 - 1. assign V395691 = V849693 + 1. assign V531080 = V834296 - 1. assign V318872 = V268064 - 1. assign V118576 = V784792 - 1. assign V980114 = V247295 - 1. assign V758175 = V237970. assign V650615 = V875991 + 1. assign V415021 = V367541. assign V499838 = V512071. assign V707800 = V737096. assign V045381 = V247458 - 1. assign V053381 = V502968 + 1. assign V189969 = V436823 + 1. assign V326751 = V205678 + 1. assign V881017 = V593117 - 1. assign V857480 = V100244 + 1. assign V307610 = V853829 + 1. assign V203081 = V010500 + 1. assign V593117 = V635490 + 1. assign V056935 = V808347 - 1. assign V387945 = V013456. assign V783797 = V499838. assign V055072 = V387945. assign V978202 = V784792. assign V282979 = V730080. assign V728038 = V415021 - 1. assign V426661 = V395691 + 1. assign V825602 = V624974 + 1. assign V205678 = V924898. assign V016472 = V247458 + 1. assign V937272 = V035149. assign V083874 = V031162 - 1. assign V175511 = V780175 + 1. assign V231900 = V650615. assign V728202 = V100244 + 1. assign V576428 = V417148 + 1. assign V825446 = V268064. assign V592966 = V260900 + 1. assign V038102 = V863464 - 1. assign V639827 = V924898 - 1. assign V382063 = V924898 + 1. assign V527304 = V327824. assign V429299 = V247458. assign V747298 = V836819 + 1. assign V971534 = V924898 + 1. assign V330973 = V924898. assign V944513 = V268064. assign V737096 = V528118 - 1. assign V794170 = 5. assign V736067 = V387945 + 1. assign V635490 = V924898 + 1. assign V887085 = V929424. assign V473561 = V502968. assign V070135 = V318872 + 1. assign V953000 = V387945. assign V691392 = V367541. assign V746228 = V013456. assign V576558 = V393826 + 1. assign V884033 = V728202 + 1. assign V436823 = V836819. assign V871497 = V070135. assign V993014 = V489673 - 1. assign V901973 = V981229. assign V094502 = V711061 - 1. assign V489673 = V887085 + 1. assign V780175 = V205678 + 1. assign V260900 = V385954 + 1. assign V268064 = V100739 - 1. assign V208013 = V650615 - 1. assign V039138 = V537043 - 1. assign V392905 = V487475. assign V711061 = V836819 + 1. assign V082318 = V728038. assign V982831 = V487475 + 1. assign V755485 = V982831 + 1. assign V119975 = V924898 + 1. assign V454941 = V121205 + 1. assign V044621 = V971534 + 1. assign V100739 = V971534 + 1. assign V383193 = V417148 - 1. assign V744280 = V924898 - 1. assign V340210 = V794170 + 1. assign V010500 = V650615 - 1. assign V477235 = V454941 - 1. assign V863464 = V393826 - 1. assign V984909 = V417148. assign V331525 = V035149 - 1. assign V487475 = V100739. assign V028210 = V728038 - 1. assign V396633 = V871140. assign V834296 = V871140 - 1. assign V601361 = V454941. assign V696158 = V728038 + 1. assign V035149 = V010500 - 1. assign V507492 = V177538 - 1. assign V181615 = V311878 - 1. assign V624974 = V367541 - 1. assign V904929 = V528118 - 1. assign V247458 = V393826. assign V849693 = V487475 - 1. assign V471867 = V742475 + 1. assign V367541 = V836819 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV794170 = 5;\n\nFrom these direct assignment(s), we have: \nV340210 = V794170 + 1 = 5 + 1 =6;\nNo other variables can be derived from V340210;\nNo other variables can be derived from V794170;\n\nNow we have done all the calculations. Derived variables are:\nV794170 = 5;\nV340210 = 6;\n\nNow we have finished this problem. ANSWER:\nV794170\n", "role": "assistant" } ]

[ "V353047" ]

[ { "content": "<context>\nassign V074348 = V422748. assign V240949 = V015406 - 1. assign V446854 = V992704. assign V657068 = V411994. assign V662002 = V312176 - 1. assign V674644 = V987940. assign V390542 = V692174 + 1. assign V448799 = V688780 + 1. assign V826126 = V929361 + 1. assign V021299 = V167790. assign V969711 = V246789 - 1. assign V436021 = V021299 - 1. assign V112250 = V676818 + 1. assign V029791 = V941585. assign V103875 = V999581 + 1. assign V835590 = V837690. assign V927911 = V688780 - 1. assign V282344 = V810529. assign V312176 = V895924 - 1. assign V423964 = V157072. assign V600159 = V655768 - 1. assign V473688 = V673410. assign V990257 = V446781 + 1. assign V723393 = V498024. assign V115395 = V987051. assign V485517 = V312176 + 1. assign V242606 = V810529 + 1. assign V862179 = V197840 + 1. assign V048070 = V162079 - 1. assign V886417 = V393984 - 1. assign V895924 = V673410 - 1. assign V214942 = V809639. assign V676818 = V776992 - 1. assign V810529 = V056209 - 1. assign V613503 = V688780 - 1. assign V514337 = V683203 - 1. assign V826621 = V599731 - 1. assign V361368 = V115395 + 1. assign V189531 = V390542 - 1. assign V754296 = V066970 - 1. assign V215886 = V981599. assign V507496 = V735314 + 1. assign V344190 = V123902 + 1. assign V340843 = V596595. assign V783623 = V886417. assign V941585 = V115395 + 1. assign V776992 = V115395. assign V235926 = V340843. assign V246789 = V540082 - 1. assign V498024 = V987051 - 1. assign V236951 = V235926 + 1. assign V266102 = V540082. assign V163427 = V372162 + 1. assign V556802 = V485517. assign V333923 = V999581. assign V194682 = V074348 + 1. assign V765325 = V323621 - 1. assign V338000 = V754296 - 1. assign V486556 = V692174 - 1. assign V390736 = V153664 - 1. assign V596595 = V987940. assign V609845 = V498024 - 1. assign V776111 = V735314 + 1. assign V211211 = V337673 - 1. assign V270251 = V826126 - 1. assign V630400 = V842523. assign V174164 = V246789. assign V842523 = V987940. assign V422748 = V929361 - 1. assign V243034 = V273114 - 1. assign V683203 = V446854 - 1. assign V987940 = V987051 + 1. assign V108289 = V485517 - 1. assign V306357 = V147074 + 1. assign V926040 = V353047 + 1. assign V987051 = V599731. assign V978556 = V135089 + 1. assign V281072 = V540082 + 1. assign V337673 = V411994 - 1. assign V182145 = V162079. assign V837690 = V676818 + 1. assign V123902 = V235926 + 1. assign V030223 = V115395 - 1. assign V056209 = V688780 + 1. assign V858109 = V596595 + 1. assign V075154 = V077812. assign V688780 = V987051. assign V597249 = V810529. assign V391040 = V895924 + 1. assign V992704 = V545917 + 1. assign V609338 = V540082. assign V809639 = V987051 - 1. assign V158026 = V257582 - 1. assign V655768 = V411994. assign V015406 = V147768. assign V353047 = 6. assign V153664 = V174333. assign V174333 = V688780 - 1. assign V703173 = V372162 - 1. assign V981599 = V147768 + 1. assign V958898 = V673410. assign V140622 = V158026. assign V323621 = V235926. assign V372162 = V842523 + 1. assign V393984 = V147768 + 1. assign V840236 = V411994. assign V775938 = V240949. assign V990980 = V372162. assign V066970 = V929361 + 1. assign V588114 = V882392 - 1. assign V108822 = V987051. assign V314790 = V064632 - 1. assign V663799 = V978556 - 1. assign V489288 = V140622. assign V097883 = V000061 + 1. assign V921252 = V029791 + 1. assign V929361 = V473688 + 1. assign V692174 = V115395. assign V167790 = V886417 - 1. assign V881737 = V065303. assign V229541 = V361368 - 1. assign V065303 = V115395 - 1. assign V319288 = V673410 - 1. assign V935772 = V448799. assign V147768 = V599731 - 1. assign V411994 = V692174. assign V576718 = V809639. assign V162079 = V147768. assign V780343 = V167790. assign V416148 = V361368 - 1. assign V580703 = V987940 + 1. assign V671907 = V162079. assign V618717 = V211211 - 1. assign V943036 = V172916. assign V812907 = V021299 + 1. assign V061175 = V596595 - 1. assign V135089 = V174333. assign V326626 = V140622. assign V826090 = V312176 - 1. assign V626739 = V253034. assign V147074 = V097883. assign V224518 = V066970 + 1. assign V064632 = V599731 + 1. assign V138431 = V229541 - 1. assign V446781 = V319288 + 1. assign V324964 = V064632 + 1. assign V266971 = V189531. assign V540082 = V337673 - 1. assign V197840 = V580703 + 1. assign V673410 = V826621 + 1. assign V456593 = V775938 + 1. assign V172916 = V960667 - 1. assign V640450 = V163427 - 1. assign V892240 = V456593. assign V850768 = V895924 + 1. assign V996488 = V754296 + 1. assign V077812 = V776992 - 1. assign V631676 = V056209. assign V425897 = V266102. assign V999581 = V158026 - 1. assign V521867 = V048070 - 1. assign V472197 = V138431 + 1. assign V157072 = V162079 - 1. assign V882392 = V197840 - 1. assign V273114 = V030223. assign V735314 = V987051 + 1. assign V960667 = V246789 - 1. assign V253034 = V029791 + 1. assign V257582 = V372162. assign V539960 = V600159 - 1. assign V545917 = V676818. assign V000061 = V688780 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V074348 = V422748. assign V240949 = V015406 - 1. assign V446854 = V992704. assign V657068 = V411994. assign V662002 = V312176 - 1. assign V674644 = V987940. assign V390542 = V692174 + 1. assign V448799 = V688780 + 1. assign V826126 = V929361 + 1. assign V021299 = V167790. assign V969711 = V246789 - 1. assign V436021 = V021299 - 1. assign V112250 = V676818 + 1. assign V029791 = V941585. assign V103875 = V999581 + 1. assign V835590 = V837690. assign V927911 = V688780 - 1. assign V282344 = V810529. assign V312176 = V895924 - 1. assign V423964 = V157072. assign V600159 = V655768 - 1. assign V473688 = V673410. assign V990257 = V446781 + 1. assign V723393 = V498024. assign V115395 = V987051. assign V485517 = V312176 + 1. assign V242606 = V810529 + 1. assign V862179 = V197840 + 1. assign V048070 = V162079 - 1. assign V886417 = V393984 - 1. assign V895924 = V673410 - 1. assign V214942 = V809639. assign V676818 = V776992 - 1. assign V810529 = V056209 - 1. assign V613503 = V688780 - 1. assign V514337 = V683203 - 1. assign V826621 = V599731 - 1. assign V361368 = V115395 + 1. assign V189531 = V390542 - 1. assign V754296 = V066970 - 1. assign V215886 = V981599. assign V507496 = V735314 + 1. assign V344190 = V123902 + 1. assign V340843 = V596595. assign V783623 = V886417. assign V941585 = V115395 + 1. assign V776992 = V115395. assign V235926 = V340843. assign V246789 = V540082 - 1. assign V498024 = V987051 - 1. assign V236951 = V235926 + 1. assign V266102 = V540082. assign V163427 = V372162 + 1. assign V556802 = V485517. assign V333923 = V999581. assign V194682 = V074348 + 1. assign V765325 = V323621 - 1. assign V338000 = V754296 - 1. assign V486556 = V692174 - 1. assign V390736 = V153664 - 1. assign V596595 = V987940. assign V609845 = V498024 - 1. assign V776111 = V735314 + 1. assign V211211 = V337673 - 1. assign V270251 = V826126 - 1. assign V630400 = V842523. assign V174164 = V246789. assign V842523 = V987940. assign V422748 = V929361 - 1. assign V243034 = V273114 - 1. assign V683203 = V446854 - 1. assign V987940 = V987051 + 1. assign V108289 = V485517 - 1. assign V306357 = V147074 + 1. assign V926040 = V353047 + 1. assign V987051 = V599731. assign V978556 = V135089 + 1. assign V281072 = V540082 + 1. assign V337673 = V411994 - 1. assign V182145 = V162079. assign V837690 = V676818 + 1. assign V123902 = V235926 + 1. assign V030223 = V115395 - 1. assign V056209 = V688780 + 1. assign V858109 = V596595 + 1. assign V075154 = V077812. assign V688780 = V987051. assign V597249 = V810529. assign V391040 = V895924 + 1. assign V992704 = V545917 + 1. assign V609338 = V540082. assign V809639 = V987051 - 1. assign V158026 = V257582 - 1. assign V655768 = V411994. assign V015406 = V147768. assign V353047 = 6. assign V153664 = V174333. assign V174333 = V688780 - 1. assign V703173 = V372162 - 1. assign V981599 = V147768 + 1. assign V958898 = V673410. assign V140622 = V158026. assign V323621 = V235926. assign V372162 = V842523 + 1. assign V393984 = V147768 + 1. assign V840236 = V411994. assign V775938 = V240949. assign V990980 = V372162. assign V066970 = V929361 + 1. assign V588114 = V882392 - 1. assign V108822 = V987051. assign V314790 = V064632 - 1. assign V663799 = V978556 - 1. assign V489288 = V140622. assign V097883 = V000061 + 1. assign V921252 = V029791 + 1. assign V929361 = V473688 + 1. assign V692174 = V115395. assign V167790 = V886417 - 1. assign V881737 = V065303. assign V229541 = V361368 - 1. assign V065303 = V115395 - 1. assign V319288 = V673410 - 1. assign V935772 = V448799. assign V147768 = V599731 - 1. assign V411994 = V692174. assign V576718 = V809639. assign V162079 = V147768. assign V780343 = V167790. assign V416148 = V361368 - 1. assign V580703 = V987940 + 1. assign V671907 = V162079. assign V618717 = V211211 - 1. assign V943036 = V172916. assign V812907 = V021299 + 1. assign V061175 = V596595 - 1. assign V135089 = V174333. assign V326626 = V140622. assign V826090 = V312176 - 1. assign V626739 = V253034. assign V147074 = V097883. assign V224518 = V066970 + 1. assign V064632 = V599731 + 1. assign V138431 = V229541 - 1. assign V446781 = V319288 + 1. assign V324964 = V064632 + 1. assign V266971 = V189531. assign V540082 = V337673 - 1. assign V197840 = V580703 + 1. assign V673410 = V826621 + 1. assign V456593 = V775938 + 1. assign V172916 = V960667 - 1. assign V640450 = V163427 - 1. assign V892240 = V456593. assign V850768 = V895924 + 1. assign V996488 = V754296 + 1. assign V077812 = V776992 - 1. assign V631676 = V056209. assign V425897 = V266102. assign V999581 = V158026 - 1. assign V521867 = V048070 - 1. assign V472197 = V138431 + 1. assign V157072 = V162079 - 1. assign V882392 = V197840 - 1. assign V273114 = V030223. assign V735314 = V987051 + 1. assign V960667 = V246789 - 1. assign V253034 = V029791 + 1. assign V257582 = V372162. assign V539960 = V600159 - 1. assign V545917 = V676818. assign V000061 = V688780 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV353047 = 6;\n\nFrom these direct assignment(s), we have: \nV926040 = V353047 + 1 = 6 + 1 =7;\nNo other variables can be derived from V926040;\nNo other variables can be derived from V353047;\n\nNow we have done all the calculations. Derived variables are:\nV353047 = 6;\nV926040 = 7;\n\nNow we have finished this problem. ANSWER:\nV353047\n", "role": "assistant" } ]

[ "V479903" ]

[ { "content": "<context>\nassign V294064 = V290118 + 1. assign V354801 = V634091. assign V070278 = V163765 - 1. assign V740904 = V445288 - 1. assign V122253 = V828276 - 1. assign V819216 = V369539 - 1. assign V430700 = V692654 + 1. assign V672806 = V322419 + 1. assign V703420 = V838417 + 1. assign V564224 = V617878 + 1. assign V322841 = V740904 + 1. assign V392119 = V216442. assign V085835 = V074629. assign V080499 = V617878 + 1. assign V991901 = V875235 - 1. assign V880555 = V832243. assign V839189 = V521066. assign V387734 = V479903 + 1. assign V783081 = V555301. assign V322419 = V480879 + 1. assign V802502 = V369539. assign V290118 = V552067. assign V506117 = V354801 + 1. assign V628495 = V571114. assign V258301 = V415212 + 1. assign V873708 = V415212. assign V031921 = V288022 - 1. assign V253725 = V294799 + 1. assign V876985 = V535092. assign V892056 = V650172 + 1. assign V667177 = V628081 - 1. assign V209898 = V821206. assign V614854 = V209898 - 1. assign V253241 = V826853 - 1. assign V154871 = V647960 - 1. assign V647349 = V951997 - 1. assign V723533 = V798900. assign V526210 = V087451 - 1. assign V194416 = V647960 - 1. assign V170817 = V216442 + 1. assign V087451 = V989067 - 1. assign V366532 = V480879. assign V280690 = V649762 + 1. assign V369539 = V546323 - 1. assign V760944 = V342865. assign V832243 = V828276. assign V100506 = V991901 - 1. assign V678124 = V991901 - 1. assign V758000 = V907134 + 1. assign V074629 = V322419 + 1. assign V636608 = V821206. assign V127487 = V715702 + 1. assign V335027 = V828276 - 1. assign V227696 = V172793 - 1. assign V552067 = V693091 - 1. assign V227390 = V415212. assign V365277 = V288022 - 1. assign V101726 = V172793. assign V890601 = V400949 - 1. assign V342865 = V647349 + 1. assign V672529 = V423639. assign V634091 = V288022 + 1. assign V555301 = V163765 + 1. assign V048108 = V874012 + 1. assign V246070 = V100506 + 1. assign V649762 = V415212. assign V699904 = V892056. assign V976261 = V268565 + 1. assign V099119 = V617878 + 1. assign V692654 = V535092 + 1. assign V947051 = V770361 - 1. assign V964918 = V546323 + 1. assign V798900 = V552067 - 1. assign V268565 = V124130 - 1. assign V933996 = V268565. assign V521066 = V480879 - 1. assign V052645 = V454426. assign V031848 = V783081 - 1. assign V261172 = V322419. assign V821206 = V826853 - 1. assign V715702 = V216442 - 1. assign V814474 = V454426. assign V068591 = V127487 - 1. assign V825659 = V546323 - 1. assign V401137 = V814474 + 1. assign V346512 = V077278 - 1. assign V077278 = V647349 - 1. assign V216442 = V874012 + 1. assign V997689 = V571114. assign V473722 = V392119. assign V554432 = V068591 + 1. assign V716424 = V838417 - 1. assign V025295 = V963226. assign V240315 = V031921 - 1. assign V636799 = V561870. assign V061192 = V216442 + 1. assign V546323 = V163765 + 1. assign V411724 = V997689 - 1. assign V456518 = V400949. assign V989067 = V814474 - 1. assign V356717 = V826853 - 1. assign V974493 = V526210. assign V875235 = V454426. assign V889309 = V335027. assign V784801 = V052645. assign V770361 = V912987. assign V833852 = V997689 - 1. assign V434269 = V716424 + 1. assign V294799 = V294064 + 1. assign V172793 = V552067 - 1. assign V009746 = V258301. assign V253459 = V087451. assign V853496 = V571114. assign V288022 = V571114. assign V569163 = V280690 + 1. assign V912987 = V821206. assign V015019 = V148294 + 1. assign V286347 = V798900. assign V976490 = V031921. assign V828276 = V571114 + 1. assign V400949 = V253241 + 1. assign V479903 = 5. assign V947678 = V784801. assign V647960 = V546323 + 1. assign V241831 = V760944 - 1. assign V905233 = V258301 - 1. assign V335511 = V280690 - 1. assign V093535 = V077278 - 1. assign V454426 = V571114. assign V975267 = V163765. assign V415212 = V678124. assign V362998 = V974493 - 1. assign V693792 = V874012. assign V951997 = V335027 + 1. assign V743820 = V178290 + 1. assign V390794 = V077278 + 1. assign V972511 = V052645. assign V490788 = V740904 - 1. assign V010447 = V876985. assign V350845 = V647349 - 1. assign V118462 = V400949. assign V628081 = V172793 - 1. assign V838417 = V546323 - 1. assign V650172 = V821206. assign V193536 = V258301 + 1. assign V380686 = V875235 - 1. assign V907134 = V415212. assign V423639 = V715702 - 1. assign V740966 = V826853 + 1. assign V445288 = V571114 - 1. assign V535092 = V445288. assign V693091 = V454426. assign V328024 = V838417 + 1. assign V480879 = V337898 - 1. assign V003258 = V227696. assign V561870 = V874012 - 1. assign V469073 = V074629 - 1. assign V963226 = V480879 - 1. assign V759361 = V261172 - 1. assign V148294 = V561870 + 1. assign V124130 = V678124 + 1. assign V163765 = V715702 + 1. assign V178290 = V290118 - 1. assign V105017 = V976261. assign V206206 = V193536. assign V617878 = V561870 - 1. assign V438746 = V290118. assign V337898 = V031921 + 1. assign V874012 = V400949 - 1. assign V772690 = V240315 + 1. assign V742581 = V068591. assign V826853 = V997689 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V294064 = V290118 + 1. assign V354801 = V634091. assign V070278 = V163765 - 1. assign V740904 = V445288 - 1. assign V122253 = V828276 - 1. assign V819216 = V369539 - 1. assign V430700 = V692654 + 1. assign V672806 = V322419 + 1. assign V703420 = V838417 + 1. assign V564224 = V617878 + 1. assign V322841 = V740904 + 1. assign V392119 = V216442. assign V085835 = V074629. assign V080499 = V617878 + 1. assign V991901 = V875235 - 1. assign V880555 = V832243. assign V839189 = V521066. assign V387734 = V479903 + 1. assign V783081 = V555301. assign V322419 = V480879 + 1. assign V802502 = V369539. assign V290118 = V552067. assign V506117 = V354801 + 1. assign V628495 = V571114. assign V258301 = V415212 + 1. assign V873708 = V415212. assign V031921 = V288022 - 1. assign V253725 = V294799 + 1. assign V876985 = V535092. assign V892056 = V650172 + 1. assign V667177 = V628081 - 1. assign V209898 = V821206. assign V614854 = V209898 - 1. assign V253241 = V826853 - 1. assign V154871 = V647960 - 1. assign V647349 = V951997 - 1. assign V723533 = V798900. assign V526210 = V087451 - 1. assign V194416 = V647960 - 1. assign V170817 = V216442 + 1. assign V087451 = V989067 - 1. assign V366532 = V480879. assign V280690 = V649762 + 1. assign V369539 = V546323 - 1. assign V760944 = V342865. assign V832243 = V828276. assign V100506 = V991901 - 1. assign V678124 = V991901 - 1. assign V758000 = V907134 + 1. assign V074629 = V322419 + 1. assign V636608 = V821206. assign V127487 = V715702 + 1. assign V335027 = V828276 - 1. assign V227696 = V172793 - 1. assign V552067 = V693091 - 1. assign V227390 = V415212. assign V365277 = V288022 - 1. assign V101726 = V172793. assign V890601 = V400949 - 1. assign V342865 = V647349 + 1. assign V672529 = V423639. assign V634091 = V288022 + 1. assign V555301 = V163765 + 1. assign V048108 = V874012 + 1. assign V246070 = V100506 + 1. assign V649762 = V415212. assign V699904 = V892056. assign V976261 = V268565 + 1. assign V099119 = V617878 + 1. assign V692654 = V535092 + 1. assign V947051 = V770361 - 1. assign V964918 = V546323 + 1. assign V798900 = V552067 - 1. assign V268565 = V124130 - 1. assign V933996 = V268565. assign V521066 = V480879 - 1. assign V052645 = V454426. assign V031848 = V783081 - 1. assign V261172 = V322419. assign V821206 = V826853 - 1. assign V715702 = V216442 - 1. assign V814474 = V454426. assign V068591 = V127487 - 1. assign V825659 = V546323 - 1. assign V401137 = V814474 + 1. assign V346512 = V077278 - 1. assign V077278 = V647349 - 1. assign V216442 = V874012 + 1. assign V997689 = V571114. assign V473722 = V392119. assign V554432 = V068591 + 1. assign V716424 = V838417 - 1. assign V025295 = V963226. assign V240315 = V031921 - 1. assign V636799 = V561870. assign V061192 = V216442 + 1. assign V546323 = V163765 + 1. assign V411724 = V997689 - 1. assign V456518 = V400949. assign V989067 = V814474 - 1. assign V356717 = V826853 - 1. assign V974493 = V526210. assign V875235 = V454426. assign V889309 = V335027. assign V784801 = V052645. assign V770361 = V912987. assign V833852 = V997689 - 1. assign V434269 = V716424 + 1. assign V294799 = V294064 + 1. assign V172793 = V552067 - 1. assign V009746 = V258301. assign V253459 = V087451. assign V853496 = V571114. assign V288022 = V571114. assign V569163 = V280690 + 1. assign V912987 = V821206. assign V015019 = V148294 + 1. assign V286347 = V798900. assign V976490 = V031921. assign V828276 = V571114 + 1. assign V400949 = V253241 + 1. assign V479903 = 5. assign V947678 = V784801. assign V647960 = V546323 + 1. assign V241831 = V760944 - 1. assign V905233 = V258301 - 1. assign V335511 = V280690 - 1. assign V093535 = V077278 - 1. assign V454426 = V571114. assign V975267 = V163765. assign V415212 = V678124. assign V362998 = V974493 - 1. assign V693792 = V874012. assign V951997 = V335027 + 1. assign V743820 = V178290 + 1. assign V390794 = V077278 + 1. assign V972511 = V052645. assign V490788 = V740904 - 1. assign V010447 = V876985. assign V350845 = V647349 - 1. assign V118462 = V400949. assign V628081 = V172793 - 1. assign V838417 = V546323 - 1. assign V650172 = V821206. assign V193536 = V258301 + 1. assign V380686 = V875235 - 1. assign V907134 = V415212. assign V423639 = V715702 - 1. assign V740966 = V826853 + 1. assign V445288 = V571114 - 1. assign V535092 = V445288. assign V693091 = V454426. assign V328024 = V838417 + 1. assign V480879 = V337898 - 1. assign V003258 = V227696. assign V561870 = V874012 - 1. assign V469073 = V074629 - 1. assign V963226 = V480879 - 1. assign V759361 = V261172 - 1. assign V148294 = V561870 + 1. assign V124130 = V678124 + 1. assign V163765 = V715702 + 1. assign V178290 = V290118 - 1. assign V105017 = V976261. assign V206206 = V193536. assign V617878 = V561870 - 1. assign V438746 = V290118. assign V337898 = V031921 + 1. assign V874012 = V400949 - 1. assign V772690 = V240315 + 1. assign V742581 = V068591. assign V826853 = V997689 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV479903 = 5;\n\nFrom these direct assignment(s), we have: \nV387734 = V479903 + 1 = 5 + 1 =6;\nNo other variables can be derived from V387734;\nNo other variables can be derived from V479903;\n\nNow we have done all the calculations. Derived variables are:\nV479903 = 5;\nV387734 = 6;\n\nNow we have finished this problem. ANSWER:\nV479903\n", "role": "assistant" } ]

[ "V408961" ]

[ { "content": "<context>\nassign V375623 = V011045 - 1. assign V773030 = V912695. assign V683722 = V976428. assign V874434 = V995460. assign V969977 = V373031. assign V597361 = V202427 - 1. assign V462059 = V952659 - 1. assign V863185 = V796963. assign V952659 = V167366 - 1. assign V949409 = V727589 - 1. assign V002787 = V407227 + 1. assign V025312 = V509164 - 1. assign V503210 = V796963 - 1. assign V385773 = V810358 + 1. assign V276178 = V202427 - 1. assign V957617 = V952659 + 1. assign V148280 = V015095 + 1. assign V123419 = V419461 + 1. assign V716535 = V015095 + 1. assign V944299 = V011045 - 1. assign V625660 = V535822 - 1. assign V072903 = V139346 + 1. assign V310286 = V874434. assign V680753 = V015095. assign V374822 = V496736. assign V580684 = V142879. assign V494449 = V408961 + 1. assign V040914 = V397790 - 1. assign V575980 = V716535. assign V368253 = V339699 + 1. assign V807620 = V142879. assign V110639 = V486146 - 1. assign V774071 = V949409 - 1. assign V745581 = V140695. assign V333828 = V015095 - 1. assign V987653 = V909041 + 1. assign V005144 = V134447. assign V535822 = V828800 - 1. assign V271719 = V995460 + 1. assign V010539 = V994976. assign V374374 = V167366. assign V819085 = V949409 + 1. assign V720937 = V952659 - 1. assign V408961 = 3. assign V221786 = V810358. assign V796963 = V486146 + 1. assign V015095 = V834751. assign V622651 = V995460 - 1. assign V480702 = V123419. assign V979719 = V202427. assign V996925 = V397790. assign V409273 = V863185 - 1. assign V363428 = V169496 + 1. assign V868576 = V374374. assign V036473 = V745581 + 1. assign V758066 = V015095 + 1. assign V871332 = V486146 - 1. assign V073299 = V167366 - 1. assign V205295 = V608208 + 1. assign V093505 = V955509 - 1. assign V430523 = V556115 + 1. assign V389904 = V720937 + 1. assign V130591 = V016617 - 1. assign V955509 = V783078 - 1. assign V502466 = V509164 + 1. assign V045599 = V167366 - 1. assign V419461 = V095259. assign V169496 = V045599 + 1. assign V314497 = V834751 + 1. assign V707887 = V745581 + 1. assign V718374 = V409273. assign V867418 = V011045 - 1. assign V193117 = V871332 + 1. assign V810358 = V594653 + 1. assign V976428 = V167366. assign V826745 = V907492 + 1. assign V180470 = V874434. assign V103959 = V594653 - 1. assign V419906 = V333828 - 1. assign V828800 = V093505 - 1. assign V707516 = V594397. assign V386799 = V680753 + 1. assign V142879 = V062256 + 1. assign V909041 = V976428. assign V016617 = V509164 + 1. assign V407227 = V952659 + 1. assign V593866 = V341914 + 1. assign V540691 = V996925 + 1. assign V590350 = V952659 + 1. assign V461895 = V010539. assign V811000 = V135512 + 1. assign V373031 = V989601 - 1. assign V939239 = V718374. assign V922945 = V930903 + 1. assign V429882 = V073299 - 1. assign V060922 = V874434 - 1. assign V608208 = V135512. assign V796467 = V010539 - 1. assign V094401 = V796963 + 1. assign V457496 = V720937 + 1. assign V763453 = V140695. assign V931897 = V073299 - 1. assign V594397 = V110639. assign V935705 = V608208. assign V266296 = V011045 + 1. assign V746817 = V994976 + 1. assign V096218 = V095259. assign V958314 = V110639 - 1. assign V837431 = V729391 + 1. assign V134447 = V810358. assign V244731 = V608208 + 1. assign V202427 = V834751 + 1. assign V341914 = V140695 - 1. assign V275330 = V182774 + 1. assign V244833 = V792951 + 1. assign V792951 = V996925. assign V783078 = V314497 - 1. assign V556115 = V167366. assign V997749 = V060922. assign V339699 = V995460. assign V394715 = V556115. assign V994976 = V083623. assign V083623 = V095259 + 1. assign V011045 = V314497. assign V803754 = V826745. assign V612942 = V130591. assign V354809 = V683722 + 1. assign V306223 = V266296. assign V139346 = V010539 + 1. assign V239239 = V989601. assign V727589 = V796963 + 1. assign V411955 = V096218 - 1. assign V392462 = V139205 + 1. assign V451747 = V339699 + 1. assign V764932 = V658223 - 1. assign V649548 = V036473 - 1. assign V420021 = V134447 - 1. assign V486146 = V202427 - 1. assign V995460 = V810358 + 1. assign V912695 = V083623 + 1. assign V913164 = V707516 - 1. assign V930903 = V792951. assign V933651 = V221786 + 1. assign V397790 = V135512 - 1. assign V577331 = V707516 + 1. assign V594653 = V834751 + 1. assign V182774 = V095259 - 1. assign V907492 = V271719 - 1. assign V424227 = V588418. assign V860165 = V913164 - 1. assign V734623 = V796963 - 1. assign V139205 = V139346. assign V658223 = V976428 + 1. assign V202642 = V540691 - 1. assign V273607 = V496736 + 1. assign V588418 = V374374. assign V229874 = V374374 - 1. assign V095259 = V486146 - 1. assign V645722 = V680753 - 1. assign V729391 = V994976. assign V335659 = V979719 - 1. assign V135512 = V834751. assign V496736 = V597361 - 1. assign V156606 = V045599 + 1. assign V582083 = V430523. assign V140695 = V976428 - 1. assign V301220 = V335659 - 1. assign V509164 = V834751. assign V062256 = V979719. assign V213592 = V072903 - 1. assign V167366 = V810358 - 1. assign V989601 = V810358.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V375623 = V011045 - 1. assign V773030 = V912695. assign V683722 = V976428. assign V874434 = V995460. assign V969977 = V373031. assign V597361 = V202427 - 1. assign V462059 = V952659 - 1. assign V863185 = V796963. assign V952659 = V167366 - 1. assign V949409 = V727589 - 1. assign V002787 = V407227 + 1. assign V025312 = V509164 - 1. assign V503210 = V796963 - 1. assign V385773 = V810358 + 1. assign V276178 = V202427 - 1. assign V957617 = V952659 + 1. assign V148280 = V015095 + 1. assign V123419 = V419461 + 1. assign V716535 = V015095 + 1. assign V944299 = V011045 - 1. assign V625660 = V535822 - 1. assign V072903 = V139346 + 1. assign V310286 = V874434. assign V680753 = V015095. assign V374822 = V496736. assign V580684 = V142879. assign V494449 = V408961 + 1. assign V040914 = V397790 - 1. assign V575980 = V716535. assign V368253 = V339699 + 1. assign V807620 = V142879. assign V110639 = V486146 - 1. assign V774071 = V949409 - 1. assign V745581 = V140695. assign V333828 = V015095 - 1. assign V987653 = V909041 + 1. assign V005144 = V134447. assign V535822 = V828800 - 1. assign V271719 = V995460 + 1. assign V010539 = V994976. assign V374374 = V167366. assign V819085 = V949409 + 1. assign V720937 = V952659 - 1. assign V408961 = 3. assign V221786 = V810358. assign V796963 = V486146 + 1. assign V015095 = V834751. assign V622651 = V995460 - 1. assign V480702 = V123419. assign V979719 = V202427. assign V996925 = V397790. assign V409273 = V863185 - 1. assign V363428 = V169496 + 1. assign V868576 = V374374. assign V036473 = V745581 + 1. assign V758066 = V015095 + 1. assign V871332 = V486146 - 1. assign V073299 = V167366 - 1. assign V205295 = V608208 + 1. assign V093505 = V955509 - 1. assign V430523 = V556115 + 1. assign V389904 = V720937 + 1. assign V130591 = V016617 - 1. assign V955509 = V783078 - 1. assign V502466 = V509164 + 1. assign V045599 = V167366 - 1. assign V419461 = V095259. assign V169496 = V045599 + 1. assign V314497 = V834751 + 1. assign V707887 = V745581 + 1. assign V718374 = V409273. assign V867418 = V011045 - 1. assign V193117 = V871332 + 1. assign V810358 = V594653 + 1. assign V976428 = V167366. assign V826745 = V907492 + 1. assign V180470 = V874434. assign V103959 = V594653 - 1. assign V419906 = V333828 - 1. assign V828800 = V093505 - 1. assign V707516 = V594397. assign V386799 = V680753 + 1. assign V142879 = V062256 + 1. assign V909041 = V976428. assign V016617 = V509164 + 1. assign V407227 = V952659 + 1. assign V593866 = V341914 + 1. assign V540691 = V996925 + 1. assign V590350 = V952659 + 1. assign V461895 = V010539. assign V811000 = V135512 + 1. assign V373031 = V989601 - 1. assign V939239 = V718374. assign V922945 = V930903 + 1. assign V429882 = V073299 - 1. assign V060922 = V874434 - 1. assign V608208 = V135512. assign V796467 = V010539 - 1. assign V094401 = V796963 + 1. assign V457496 = V720937 + 1. assign V763453 = V140695. assign V931897 = V073299 - 1. assign V594397 = V110639. assign V935705 = V608208. assign V266296 = V011045 + 1. assign V746817 = V994976 + 1. assign V096218 = V095259. assign V958314 = V110639 - 1. assign V837431 = V729391 + 1. assign V134447 = V810358. assign V244731 = V608208 + 1. assign V202427 = V834751 + 1. assign V341914 = V140695 - 1. assign V275330 = V182774 + 1. assign V244833 = V792951 + 1. assign V792951 = V996925. assign V783078 = V314497 - 1. assign V556115 = V167366. assign V997749 = V060922. assign V339699 = V995460. assign V394715 = V556115. assign V994976 = V083623. assign V083623 = V095259 + 1. assign V011045 = V314497. assign V803754 = V826745. assign V612942 = V130591. assign V354809 = V683722 + 1. assign V306223 = V266296. assign V139346 = V010539 + 1. assign V239239 = V989601. assign V727589 = V796963 + 1. assign V411955 = V096218 - 1. assign V392462 = V139205 + 1. assign V451747 = V339699 + 1. assign V764932 = V658223 - 1. assign V649548 = V036473 - 1. assign V420021 = V134447 - 1. assign V486146 = V202427 - 1. assign V995460 = V810358 + 1. assign V912695 = V083623 + 1. assign V913164 = V707516 - 1. assign V930903 = V792951. assign V933651 = V221786 + 1. assign V397790 = V135512 - 1. assign V577331 = V707516 + 1. assign V594653 = V834751 + 1. assign V182774 = V095259 - 1. assign V907492 = V271719 - 1. assign V424227 = V588418. assign V860165 = V913164 - 1. assign V734623 = V796963 - 1. assign V139205 = V139346. assign V658223 = V976428 + 1. assign V202642 = V540691 - 1. assign V273607 = V496736 + 1. assign V588418 = V374374. assign V229874 = V374374 - 1. assign V095259 = V486146 - 1. assign V645722 = V680753 - 1. assign V729391 = V994976. assign V335659 = V979719 - 1. assign V135512 = V834751. assign V496736 = V597361 - 1. assign V156606 = V045599 + 1. assign V582083 = V430523. assign V140695 = V976428 - 1. assign V301220 = V335659 - 1. assign V509164 = V834751. assign V062256 = V979719. assign V213592 = V072903 - 1. assign V167366 = V810358 - 1. assign V989601 = V810358.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV408961 = 3;\n\nFrom these direct assignment(s), we have: \nV494449 = V408961 + 1 = 3 + 1 =4;\nNo other variables can be derived from V494449;\nNo other variables can be derived from V408961;\n\nNow we have done all the calculations. Derived variables are:\nV408961 = 3;\nV494449 = 4;\n\nNow we have finished this problem. ANSWER:\nV408961\n", "role": "assistant" } ]

[ "V650060", "V604495" ]

[ { "content": "<context>\nassign V557402 = V356929 - 1. assign V593435 = V692568 - 1. assign V888357 = V799127 - 1. assign V164336 = V818686 - 1. assign V764707 = V654312 + 1. assign V146225 = V615197 - 1. assign V280473 = V179546. assign V855206 = V283566 - 1. assign V006207 = V589661 - 1. assign V778569 = V340309 - 1. assign V650060 = 8. assign V006751 = V848795 + 1. assign V639850 = V189812. assign V078834 = V205220 + 1. assign V654312 = V423267 - 1. assign V602469 = V692568 - 1. assign V247689 = V397831. assign V392626 = V021042 - 1. assign V685446 = V692568 + 1. assign V683076 = V021499. assign V735352 = V225997. assign V394168 = V034658 - 1. assign V451487 = V462167 - 1. assign V096297 = V654312 + 1. assign V845286 = V423843 - 1. assign V476158 = V232245 + 1. assign V045963 = V423267 + 1. assign V436442 = V236989 + 1. assign V312460 = V096297. assign V423267 = V034658 - 1. assign V973088 = V922055 - 1. assign V814152 = V922055 + 1. assign V353233 = V750327. assign V761539 = V423267. assign V978271 = V989958 - 1. assign V136759 = V922055 + 1. assign V268967 = V073390 - 1. assign V225997 = V692568 + 1. assign V026237 = V737331. assign V729008 = V658903 - 1. assign V647938 = V205220 + 1. assign V750327 = V476158 - 1. assign V982791 = V190412. assign V816894 = V340309. assign V840093 = V659347 - 1. assign V681554 = V264621 - 1. assign V189812 = V232112 + 1. assign V720362 = V659347 + 1. assign V867236 = V750360. assign V589661 = V006751 - 1. assign V630504 = V978271 - 1. assign V737331 = V236989. assign V286865 = V394168 + 1. assign V021499 = V210301. assign V136308 = V848795. assign V202167 = V232245. assign V373682 = V246583 + 1. assign V410890 = V136308. assign V502873 = V855206 - 1. assign V495805 = V225997. assign V976526 = V215379 + 1. assign V623519 = V423267 + 1. assign V470609 = V494640. assign V170980 = V542635 + 1. assign V519507 = V737331 - 1. assign V710030 = V659347 + 1. assign V866911 = V502873 - 1. assign V703112 = V681554. assign V389250 = V170980 + 1. assign V356929 = V423843 - 1. assign V622958 = V804587. assign V558542 = V816894 - 1. assign V261162 = V978271. assign V791104 = V490973 + 1. assign V841181 = V394168 + 1. assign V878941 = V814152 - 1. assign V615197 = V818686 - 1. assign V494640 = V375824 + 1. assign V799127 = V841181 - 1. assign V021042 = V685446. assign V377385 = V654312 - 1. assign V923046 = V021042. assign V604495 = V650060. assign V454373 = V292887 + 1. assign V441406 = V006751 - 1. assign V818686 = V848795 - 1. assign V358352 = V021042 - 1. assign V959790 = V656631. assign V707375 = V816894 - 1. assign V553861 = V814152. assign V340309 = V417502 - 1. assign V929112 = V978271. assign V932204 = V451487 - 1. assign V283566 = V922055 + 1. assign V453119 = V989958 - 1. assign V761997 = V073390 + 1. assign V185989 = V647938 - 1. assign V809432 = V205220 + 1. assign V417502 = V922055 - 1. assign V253552 = V189812 + 1. assign V750360 = V246583. assign V087959 = V170980 - 1. assign V490973 = V470609. assign V232245 = V340309. assign V043486 = V392626 + 1. assign V423843 = V236989 - 1. assign V692568 = V417502 - 1. assign V190412 = V232112. assign V073390 = V845286. assign V420356 = V989958. assign V966787 = V283566 - 1. assign V993088 = V201640 + 1. assign V337558 = V136759 + 1. assign V444816 = V966787 - 1. assign V371048 = V043486 + 1. assign V830973 = V021499 + 1. assign V201640 = V923046. assign V098966 = V286865 - 1. assign V656631 = V692568. assign V417462 = V764707. assign V215379 = V841181 - 1. assign V034658 = V814152. assign V971411 = V622958. assign V375824 = V034658. assign V724337 = V656631 + 1. assign V936940 = V799127. assign V855103 = V979315 + 1. assign V236989 = V814152 - 1. assign V292887 = V922055. assign V979315 = V034658 - 1. assign V786217 = V923046 - 1. assign V738403 = V495805 + 1. assign V875492 = V034658 + 1. assign V848795 = V989958 + 1. assign V659347 = V045963 + 1. assign V922055 = V978271 + 1. assign V650940 = V394168 + 1. assign V598808 = V179546 + 1. assign V804587 = V454373 + 1. assign V787712 = V654312 - 1. assign V232112 = V006751 + 1. assign V518821 = V292887 + 1. assign V621491 = V410890 - 1. assign V894257 = V292887 - 1. assign V635622 = V888357 - 1. assign V254108 = V170980. assign V205220 = V423267 - 1. assign V021588 = V202167. assign V143485 = V397831 + 1. assign V746795 = V232245 - 1. assign V536128 = V966787. assign V507267 = V253552 - 1. assign V460317 = V692568. assign V658903 = V392626 + 1. assign V879478 = V558542. assign V179546 = V476158 + 1. assign V631726 = V423843 - 1. assign V264621 = V922055 + 1. assign V080982 = V922055 + 1. assign V602440 = V737331. assign V246583 = V978271. assign V268320 = V841181. assign V210476 = V685446 + 1. assign V010628 = V888357. assign V462167 = V875492 + 1. assign V347728 = V658903 - 1. assign V542635 = V841181 - 1. assign V678378 = V136759. assign V397831 = V841181 + 1. assign V297565 = V210476. assign V909898 = V598808. assign V210301 = V929112 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V557402 = V356929 - 1. assign V593435 = V692568 - 1. assign V888357 = V799127 - 1. assign V164336 = V818686 - 1. assign V764707 = V654312 + 1. assign V146225 = V615197 - 1. assign V280473 = V179546. assign V855206 = V283566 - 1. assign V006207 = V589661 - 1. assign V778569 = V340309 - 1. assign V650060 = 8. assign V006751 = V848795 + 1. assign V639850 = V189812. assign V078834 = V205220 + 1. assign V654312 = V423267 - 1. assign V602469 = V692568 - 1. assign V247689 = V397831. assign V392626 = V021042 - 1. assign V685446 = V692568 + 1. assign V683076 = V021499. assign V735352 = V225997. assign V394168 = V034658 - 1. assign V451487 = V462167 - 1. assign V096297 = V654312 + 1. assign V845286 = V423843 - 1. assign V476158 = V232245 + 1. assign V045963 = V423267 + 1. assign V436442 = V236989 + 1. assign V312460 = V096297. assign V423267 = V034658 - 1. assign V973088 = V922055 - 1. assign V814152 = V922055 + 1. assign V353233 = V750327. assign V761539 = V423267. assign V978271 = V989958 - 1. assign V136759 = V922055 + 1. assign V268967 = V073390 - 1. assign V225997 = V692568 + 1. assign V026237 = V737331. assign V729008 = V658903 - 1. assign V647938 = V205220 + 1. assign V750327 = V476158 - 1. assign V982791 = V190412. assign V816894 = V340309. assign V840093 = V659347 - 1. assign V681554 = V264621 - 1. assign V189812 = V232112 + 1. assign V720362 = V659347 + 1. assign V867236 = V750360. assign V589661 = V006751 - 1. assign V630504 = V978271 - 1. assign V737331 = V236989. assign V286865 = V394168 + 1. assign V021499 = V210301. assign V136308 = V848795. assign V202167 = V232245. assign V373682 = V246583 + 1. assign V410890 = V136308. assign V502873 = V855206 - 1. assign V495805 = V225997. assign V976526 = V215379 + 1. assign V623519 = V423267 + 1. assign V470609 = V494640. assign V170980 = V542635 + 1. assign V519507 = V737331 - 1. assign V710030 = V659347 + 1. assign V866911 = V502873 - 1. assign V703112 = V681554. assign V389250 = V170980 + 1. assign V356929 = V423843 - 1. assign V622958 = V804587. assign V558542 = V816894 - 1. assign V261162 = V978271. assign V791104 = V490973 + 1. assign V841181 = V394168 + 1. assign V878941 = V814152 - 1. assign V615197 = V818686 - 1. assign V494640 = V375824 + 1. assign V799127 = V841181 - 1. assign V021042 = V685446. assign V377385 = V654312 - 1. assign V923046 = V021042. assign V604495 = V650060. assign V454373 = V292887 + 1. assign V441406 = V006751 - 1. assign V818686 = V848795 - 1. assign V358352 = V021042 - 1. assign V959790 = V656631. assign V707375 = V816894 - 1. assign V553861 = V814152. assign V340309 = V417502 - 1. assign V929112 = V978271. assign V932204 = V451487 - 1. assign V283566 = V922055 + 1. assign V453119 = V989958 - 1. assign V761997 = V073390 + 1. assign V185989 = V647938 - 1. assign V809432 = V205220 + 1. assign V417502 = V922055 - 1. assign V253552 = V189812 + 1. assign V750360 = V246583. assign V087959 = V170980 - 1. assign V490973 = V470609. assign V232245 = V340309. assign V043486 = V392626 + 1. assign V423843 = V236989 - 1. assign V692568 = V417502 - 1. assign V190412 = V232112. assign V073390 = V845286. assign V420356 = V989958. assign V966787 = V283566 - 1. assign V993088 = V201640 + 1. assign V337558 = V136759 + 1. assign V444816 = V966787 - 1. assign V371048 = V043486 + 1. assign V830973 = V021499 + 1. assign V201640 = V923046. assign V098966 = V286865 - 1. assign V656631 = V692568. assign V417462 = V764707. assign V215379 = V841181 - 1. assign V034658 = V814152. assign V971411 = V622958. assign V375824 = V034658. assign V724337 = V656631 + 1. assign V936940 = V799127. assign V855103 = V979315 + 1. assign V236989 = V814152 - 1. assign V292887 = V922055. assign V979315 = V034658 - 1. assign V786217 = V923046 - 1. assign V738403 = V495805 + 1. assign V875492 = V034658 + 1. assign V848795 = V989958 + 1. assign V659347 = V045963 + 1. assign V922055 = V978271 + 1. assign V650940 = V394168 + 1. assign V598808 = V179546 + 1. assign V804587 = V454373 + 1. assign V787712 = V654312 - 1. assign V232112 = V006751 + 1. assign V518821 = V292887 + 1. assign V621491 = V410890 - 1. assign V894257 = V292887 - 1. assign V635622 = V888357 - 1. assign V254108 = V170980. assign V205220 = V423267 - 1. assign V021588 = V202167. assign V143485 = V397831 + 1. assign V746795 = V232245 - 1. assign V536128 = V966787. assign V507267 = V253552 - 1. assign V460317 = V692568. assign V658903 = V392626 + 1. assign V879478 = V558542. assign V179546 = V476158 + 1. assign V631726 = V423843 - 1. assign V264621 = V922055 + 1. assign V080982 = V922055 + 1. assign V602440 = V737331. assign V246583 = V978271. assign V268320 = V841181. assign V210476 = V685446 + 1. assign V010628 = V888357. assign V462167 = V875492 + 1. assign V347728 = V658903 - 1. assign V542635 = V841181 - 1. assign V678378 = V136759. assign V397831 = V841181 + 1. assign V297565 = V210476. assign V909898 = V598808. assign V210301 = V929112 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV650060 = 8;\n\nFrom these direct assignment(s), we have: \nV604495 = V650060 = 8;\nNo other variables can be derived from V604495;\nNo other variables can be derived from V650060;\n\nNow we have done all the calculations. Derived variables are:\nV650060 = 8;\nV604495 = 8;\n\nNow we have finished this problem. ANSWER:\nV650060, V604495\n", "role": "assistant" } ]

[ "V194803", "V555602" ]

[ { "content": "<context>\nassign V245347 = V583638. assign V131592 = V646845 - 1. assign V518576 = V250731 - 1. assign V646845 = V935073. assign V286827 = V245347. assign V194402 = V734256. assign V351400 = V290099 - 1. assign V617105 = V351400 + 1. assign V745220 = V992363 - 1. assign V286180 = V538875 - 1. assign V752601 = V869409 + 1. assign V555602 = V194803. assign V194766 = V136895 + 1. assign V482966 = V935521. assign V512485 = V998980. assign V489954 = V881877 + 1. assign V142183 = V781855 - 1. assign V386403 = V583638 - 1. assign V192158 = V218915 - 1. assign V369041 = V565444 + 1. assign V143084 = V242325 + 1. assign V639356 = V826861. assign V437331 = V195928. assign V902154 = V018002 - 1. assign V180525 = V647025. assign V679304 = V968749. assign V932833 = V935073 + 1. assign V586415 = V027522. assign V306794 = V250731. assign V853815 = V764345 - 1. assign V818444 = V953882 + 1. assign V790884 = V734256 - 1. assign V196984 = V309205. assign V826861 = V512485 - 1. assign V380449 = V624820 - 1. assign V075050 = V362950. assign V005330 = V781855. assign V887282 = V427457 + 1. assign V744025 = V362950 - 1. assign V396777 = V136895 - 1. assign V643631 = V290099 + 1. assign V364435 = V136895 + 1. assign V538875 = V703347 - 1. assign V887137 = V396777 + 1. assign V894729 = V050719 + 1. assign V859234 = V512485 + 1. assign V680968 = V286180 - 1. assign V050719 = V541560 + 1. assign V732006 = V313759 + 1. assign V191719 = V594676. assign V647025 = V859234 + 1. assign V154709 = V250731 + 1. assign V526275 = V594676 - 1. assign V480463 = V953882. assign V984268 = V541560. assign V501902 = V904781. assign V691234 = V466532. assign V418944 = V353913 + 1. assign V442567 = V764345 - 1. assign V929374 = V149478 - 1. assign V136895 = V744025. assign V292842 = V128048 + 1. assign V069442 = V691234 - 1. assign V781855 = V248355 + 1. assign V505940 = V143084 - 1. assign V290099 = V195928 - 1. assign V865192 = V072752 - 1. assign V697501 = V865192. assign V561986 = V998980 + 1. assign V152405 = V194402 + 1. assign V294201 = V437331. assign V362950 = V290099 + 1. assign V615211 = V827005. assign V242325 = V998980 + 1. assign V218915 = V245347 - 1. assign V886495 = V703347. assign V336616 = V826861. assign V806628 = V245347 - 1. assign V992363 = V734256 - 1. assign V594676 = V935521. assign V583638 = V935073 + 1. assign V525161 = V391837 + 1. assign V435602 = V248355 + 1. assign V477991 = V437258 - 1. assign V711908 = V859234 - 1. assign V018002 = V195928 - 1. assign V067750 = V744025. assign V771584 = V680968. assign V682548 = V853815 + 1. assign V889444 = V194766. assign V313759 = V430506 - 1. assign V074340 = V174181 + 1. assign V935044 = V128048. assign V624820 = V391837. assign V541560 = V538875 - 1. assign V210989 = V904781 + 1. assign V727718 = V136895 - 1. assign V681642 = V583638 + 1. assign V027522 = V306794 - 1. assign V440428 = V968749 + 1. assign V869409 = V442567 - 1. assign V082431 = V781855. assign V437258 = V388072 - 1. assign V382259 = V072752. assign V091022 = V495977. assign V827005 = V242006. assign V011551 = V195928. assign V815638 = V248355 - 1. assign V072752 = V388072 + 1. assign V968749 = V245347 - 1. assign V309205 = V195928. assign V375142 = V218915 + 1. assign V760329 = V362950 + 1. assign V662664 = V886495 + 1. assign V104896 = V984268. assign V194803 = 5. assign V953739 = V072752 - 1. assign V174181 = V583638 - 1. assign V915578 = V764137. assign V764137 = V853815 - 1. assign V466532 = V992363. assign V904781 = V250731 - 1. assign V333951 = V242325. assign V478561 = V011551. assign V250731 = V512485. assign V763957 = V818444 + 1. assign V216968 = V388072 + 1. assign V075528 = V815638 + 1. assign V195928 = V935521. assign V223630 = V859234 - 1. assign V427457 = V369041 + 1. assign V396585 = V935044. assign V703347 = V998980 - 1. assign V149478 = V541560 + 1. assign V419464 = V482966. assign V253984 = V362950 - 1. assign V457721 = V294201 + 1. assign V759946 = V685374. assign V967086 = V968749 - 1. assign V565444 = V362950 + 1. assign V495977 = V734256 - 1. assign V881877 = V142183. assign V248355 = V242006 - 1. assign V074309 = V752601 - 1. assign V268054 = V662664. assign V211637 = V480463. assign V685374 = V541560. assign V887121 = V639356 + 1. assign V106508 = V646845 - 1. assign V953882 = V998980. assign V703650 = V149478 + 1. assign V353913 = V886495 - 1. assign V764345 = V992363. assign V291241 = V050719. assign V568211 = V624820 - 1. assign V895712 = V953882. assign V734256 = V826861 - 1. assign V529232 = V286827 - 1. assign V120375 = V826861 + 1. assign V843357 = V763957 - 1. assign V075160 = V353913 - 1. assign V088803 = V075160. assign V998980 = V935521 - 1. assign V391837 = V512485 - 1. assign V935073 = V703347 + 1. assign V656089 = V088803 - 1. assign V033388 = V388072 + 1. assign V430506 = V075528 - 1. assign V242006 = V826861 + 1. assign V128048 = V935521. assign V080057 = V764137 + 1. assign V388072 = V242325 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V245347 = V583638. assign V131592 = V646845 - 1. assign V518576 = V250731 - 1. assign V646845 = V935073. assign V286827 = V245347. assign V194402 = V734256. assign V351400 = V290099 - 1. assign V617105 = V351400 + 1. assign V745220 = V992363 - 1. assign V286180 = V538875 - 1. assign V752601 = V869409 + 1. assign V555602 = V194803. assign V194766 = V136895 + 1. assign V482966 = V935521. assign V512485 = V998980. assign V489954 = V881877 + 1. assign V142183 = V781855 - 1. assign V386403 = V583638 - 1. assign V192158 = V218915 - 1. assign V369041 = V565444 + 1. assign V143084 = V242325 + 1. assign V639356 = V826861. assign V437331 = V195928. assign V902154 = V018002 - 1. assign V180525 = V647025. assign V679304 = V968749. assign V932833 = V935073 + 1. assign V586415 = V027522. assign V306794 = V250731. assign V853815 = V764345 - 1. assign V818444 = V953882 + 1. assign V790884 = V734256 - 1. assign V196984 = V309205. assign V826861 = V512485 - 1. assign V380449 = V624820 - 1. assign V075050 = V362950. assign V005330 = V781855. assign V887282 = V427457 + 1. assign V744025 = V362950 - 1. assign V396777 = V136895 - 1. assign V643631 = V290099 + 1. assign V364435 = V136895 + 1. assign V538875 = V703347 - 1. assign V887137 = V396777 + 1. assign V894729 = V050719 + 1. assign V859234 = V512485 + 1. assign V680968 = V286180 - 1. assign V050719 = V541560 + 1. assign V732006 = V313759 + 1. assign V191719 = V594676. assign V647025 = V859234 + 1. assign V154709 = V250731 + 1. assign V526275 = V594676 - 1. assign V480463 = V953882. assign V984268 = V541560. assign V501902 = V904781. assign V691234 = V466532. assign V418944 = V353913 + 1. assign V442567 = V764345 - 1. assign V929374 = V149478 - 1. assign V136895 = V744025. assign V292842 = V128048 + 1. assign V069442 = V691234 - 1. assign V781855 = V248355 + 1. assign V505940 = V143084 - 1. assign V290099 = V195928 - 1. assign V865192 = V072752 - 1. assign V697501 = V865192. assign V561986 = V998980 + 1. assign V152405 = V194402 + 1. assign V294201 = V437331. assign V362950 = V290099 + 1. assign V615211 = V827005. assign V242325 = V998980 + 1. assign V218915 = V245347 - 1. assign V886495 = V703347. assign V336616 = V826861. assign V806628 = V245347 - 1. assign V992363 = V734256 - 1. assign V594676 = V935521. assign V583638 = V935073 + 1. assign V525161 = V391837 + 1. assign V435602 = V248355 + 1. assign V477991 = V437258 - 1. assign V711908 = V859234 - 1. assign V018002 = V195928 - 1. assign V067750 = V744025. assign V771584 = V680968. assign V682548 = V853815 + 1. assign V889444 = V194766. assign V313759 = V430506 - 1. assign V074340 = V174181 + 1. assign V935044 = V128048. assign V624820 = V391837. assign V541560 = V538875 - 1. assign V210989 = V904781 + 1. assign V727718 = V136895 - 1. assign V681642 = V583638 + 1. assign V027522 = V306794 - 1. assign V440428 = V968749 + 1. assign V869409 = V442567 - 1. assign V082431 = V781855. assign V437258 = V388072 - 1. assign V382259 = V072752. assign V091022 = V495977. assign V827005 = V242006. assign V011551 = V195928. assign V815638 = V248355 - 1. assign V072752 = V388072 + 1. assign V968749 = V245347 - 1. assign V309205 = V195928. assign V375142 = V218915 + 1. assign V760329 = V362950 + 1. assign V662664 = V886495 + 1. assign V104896 = V984268. assign V194803 = 5. assign V953739 = V072752 - 1. assign V174181 = V583638 - 1. assign V915578 = V764137. assign V764137 = V853815 - 1. assign V466532 = V992363. assign V904781 = V250731 - 1. assign V333951 = V242325. assign V478561 = V011551. assign V250731 = V512485. assign V763957 = V818444 + 1. assign V216968 = V388072 + 1. assign V075528 = V815638 + 1. assign V195928 = V935521. assign V223630 = V859234 - 1. assign V427457 = V369041 + 1. assign V396585 = V935044. assign V703347 = V998980 - 1. assign V149478 = V541560 + 1. assign V419464 = V482966. assign V253984 = V362950 - 1. assign V457721 = V294201 + 1. assign V759946 = V685374. assign V967086 = V968749 - 1. assign V565444 = V362950 + 1. assign V495977 = V734256 - 1. assign V881877 = V142183. assign V248355 = V242006 - 1. assign V074309 = V752601 - 1. assign V268054 = V662664. assign V211637 = V480463. assign V685374 = V541560. assign V887121 = V639356 + 1. assign V106508 = V646845 - 1. assign V953882 = V998980. assign V703650 = V149478 + 1. assign V353913 = V886495 - 1. assign V764345 = V992363. assign V291241 = V050719. assign V568211 = V624820 - 1. assign V895712 = V953882. assign V734256 = V826861 - 1. assign V529232 = V286827 - 1. assign V120375 = V826861 + 1. assign V843357 = V763957 - 1. assign V075160 = V353913 - 1. assign V088803 = V075160. assign V998980 = V935521 - 1. assign V391837 = V512485 - 1. assign V935073 = V703347 + 1. assign V656089 = V088803 - 1. assign V033388 = V388072 + 1. assign V430506 = V075528 - 1. assign V242006 = V826861 + 1. assign V128048 = V935521. assign V080057 = V764137 + 1. assign V388072 = V242325 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV194803 = 5;\n\nFrom these direct assignment(s), we have: \nV555602 = V194803 = 5;\nNo other variables can be derived from V555602;\nNo other variables can be derived from V194803;\n\nNow we have done all the calculations. Derived variables are:\nV194803 = 5;\nV555602 = 5;\n\nNow we have finished this problem. ANSWER:\nV194803, V555602\n", "role": "assistant" } ]

[ "V100535" ]

[ { "content": "<context>\nassign V135241 = V647689 + 1. assign V090186 = V953444. assign V829088 = V949071 + 1. assign V952888 = V999428. assign V879876 = V704330 - 1. assign V219080 = V962046 - 1. assign V104526 = V599475. assign V902653 = V046055. assign V545682 = V219080 - 1. assign V464527 = V846573 - 1. assign V505569 = V596692 - 1. assign V315432 = V782512 + 1. assign V048980 = V379247 + 1. assign V200392 = V350229 - 1. assign V014075 = V402808 - 1. assign V701806 = V516758. assign V177695 = V386148 - 1. assign V572044 = V633378 + 1. assign V804207 = V786379 + 1. assign V999275 = V378454 + 1. assign V516758 = V301259 - 1. assign V301259 = V367721 + 1. assign V693109 = V451068 - 1. assign V251015 = V858540 + 1. assign V846573 = V949071. assign V884922 = V704330 + 1. assign V054705 = V378454 + 1. assign V748932 = V694594 - 1. assign V999428 = V157875 + 1. assign V356884 = V402808 - 1. assign V873378 = V441263. assign V953444 = V853191 + 1. assign V369566 = V918485. assign V045575 = V400042 + 1. assign V359289 = V599475. assign V164770 = V054705. assign V976848 = V999275. assign V773068 = V711228. assign V840741 = V104526 - 1. assign V704330 = V525694 - 1. assign V858540 = V350413. assign V368694 = V367721. assign V914276 = V632225 + 1. assign V221360 = V402808 - 1. assign V917796 = V441263 - 1. assign V192876 = V840741 - 1. assign V699498 = V520048. assign V155434 = V481284. assign V416735 = V279592 - 1. assign V752359 = V554057 - 1. assign V386148 = V711228. assign V190059 = V045575 - 1. assign V100535 = 1. assign V279592 = V816151 + 1. assign V970930 = V960848. assign V949071 = V551170 - 1. assign V755757 = V100535 + 1. assign V350413 = V036857 - 1. assign V260740 = V727592 - 1. assign V551170 = V816151. assign V350229 = V773068. assign V782512 = V524896 + 1. assign V195068 = V540274 + 1. assign V452492 = V378454 - 1. assign V119039 = V816151. assign V103734 = V693109. assign V575950 = V416735 + 1. assign V478715 = V451068 - 1. assign V939220 = V758233. assign V143514 = V545682 - 1. assign V772308 = V402808 + 1. assign V918903 = V694594 + 1. assign V918485 = V104526 + 1. assign V853191 = V525694 - 1. assign V700082 = V999098 - 1. assign V923183 = V339652 - 1. assign V525694 = V140102 - 1. assign V111486 = V524896 + 1. assign V111783 = V432705. assign V540274 = V479678 + 1. assign V140102 = V949071 + 1. assign V524775 = V103734. assign V647689 = V999275. assign V357281 = V962046. assign V410394 = V221360 + 1. assign V954835 = V217997. assign V360315 = V400042 + 1. assign V894909 = V269450 - 1. assign V632225 = V700715. assign V814007 = V464527. assign V036857 = V464527 + 1. assign V533904 = V200392. assign V120888 = V416735 + 1. assign V402808 = V555849 + 1. assign V758233 = V846573 - 1. assign V506092 = V350229. assign V421623 = V836306 - 1. assign V027907 = V759002. assign V157875 = V441263 - 1. assign V682321 = V315432. assign V113953 = V719389. assign V868104 = V177695. assign V596692 = V555849 + 1. assign V538438 = V752359. assign V960848 = V803355 + 1. assign V720077 = V887270 - 1. assign V694594 = V386148 + 1. assign V717141 = V960848 - 1. assign V367721 = V555849 + 1. assign V312602 = V192876 - 1. assign V999098 = V446705 + 1. assign V887270 = V694594 - 1. assign V809576 = V803355. assign V414228 = V954835. assign V432705 = V464527 + 1. assign V441263 = V196720. assign V046055 = V599475 - 1. assign V711228 = V551170 + 1. assign V217997 = V773068 - 1. assign V599475 = V217997 - 1. assign V025576 = V521848 + 1. assign V258892 = V155434 - 1. assign V396387 = V524775 - 1. assign V316238 = V720077 - 1. assign V445053 = V773068. assign V378454 = V196720. assign V379247 = V506092 + 1. assign V514422 = V157875 + 1. assign V700715 = V260740. assign V776164 = V402808 - 1. assign V898943 = V960848 - 1. assign V520048 = V983978 + 1. assign V479678 = V217997. assign V076679 = V251015 + 1. assign V481284 = V999428. assign V011229 = V279592. assign V695583 = V538438. assign V193081 = V464527. assign V786379 = V918485 - 1. assign V002182 = V451068 + 1. assign V759002 = V551170 - 1. assign V555849 = V551170 + 1. assign V983978 = V599475. assign V269450 = V414228 + 1. assign V900496 = V190059. assign V524896 = V196720. assign V412420 = V217997 + 1. assign V633378 = V803355. assign V962046 = V773068 - 1. assign V113708 = V312602 - 1. assign V719389 = V711228 - 1. assign V542786 = V596692 - 1. assign V521848 = V036857. assign V764603 = V464527. assign V400042 = V949071. assign V882053 = V816151 + 1. assign V170171 = V953444 + 1. assign V451068 = V816151 - 1. assign V154706 = V976848. assign V319822 = V316238. assign V554057 = V217997 + 1. assign V052713 = V900496 + 1. assign V769544 = V694594. assign V192708 = V949071 + 1. assign V836306 = V402808 - 1. assign V196720 = V555849 + 1. assign V727592 = V367721 - 1. assign V620637 = V219080. assign V446705 = V918485. assign V803355 = V555849 - 1. assign V883418 = V356884 + 1. assign V339652 = V596692 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V135241 = V647689 + 1. assign V090186 = V953444. assign V829088 = V949071 + 1. assign V952888 = V999428. assign V879876 = V704330 - 1. assign V219080 = V962046 - 1. assign V104526 = V599475. assign V902653 = V046055. assign V545682 = V219080 - 1. assign V464527 = V846573 - 1. assign V505569 = V596692 - 1. assign V315432 = V782512 + 1. assign V048980 = V379247 + 1. assign V200392 = V350229 - 1. assign V014075 = V402808 - 1. assign V701806 = V516758. assign V177695 = V386148 - 1. assign V572044 = V633378 + 1. assign V804207 = V786379 + 1. assign V999275 = V378454 + 1. assign V516758 = V301259 - 1. assign V301259 = V367721 + 1. assign V693109 = V451068 - 1. assign V251015 = V858540 + 1. assign V846573 = V949071. assign V884922 = V704330 + 1. assign V054705 = V378454 + 1. assign V748932 = V694594 - 1. assign V999428 = V157875 + 1. assign V356884 = V402808 - 1. assign V873378 = V441263. assign V953444 = V853191 + 1. assign V369566 = V918485. assign V045575 = V400042 + 1. assign V359289 = V599475. assign V164770 = V054705. assign V976848 = V999275. assign V773068 = V711228. assign V840741 = V104526 - 1. assign V704330 = V525694 - 1. assign V858540 = V350413. assign V368694 = V367721. assign V914276 = V632225 + 1. assign V221360 = V402808 - 1. assign V917796 = V441263 - 1. assign V192876 = V840741 - 1. assign V699498 = V520048. assign V155434 = V481284. assign V416735 = V279592 - 1. assign V752359 = V554057 - 1. assign V386148 = V711228. assign V190059 = V045575 - 1. assign V100535 = 1. assign V279592 = V816151 + 1. assign V970930 = V960848. assign V949071 = V551170 - 1. assign V755757 = V100535 + 1. assign V350413 = V036857 - 1. assign V260740 = V727592 - 1. assign V551170 = V816151. assign V350229 = V773068. assign V782512 = V524896 + 1. assign V195068 = V540274 + 1. assign V452492 = V378454 - 1. assign V119039 = V816151. assign V103734 = V693109. assign V575950 = V416735 + 1. assign V478715 = V451068 - 1. assign V939220 = V758233. assign V143514 = V545682 - 1. assign V772308 = V402808 + 1. assign V918903 = V694594 + 1. assign V918485 = V104526 + 1. assign V853191 = V525694 - 1. assign V700082 = V999098 - 1. assign V923183 = V339652 - 1. assign V525694 = V140102 - 1. assign V111486 = V524896 + 1. assign V111783 = V432705. assign V540274 = V479678 + 1. assign V140102 = V949071 + 1. assign V524775 = V103734. assign V647689 = V999275. assign V357281 = V962046. assign V410394 = V221360 + 1. assign V954835 = V217997. assign V360315 = V400042 + 1. assign V894909 = V269450 - 1. assign V632225 = V700715. assign V814007 = V464527. assign V036857 = V464527 + 1. assign V533904 = V200392. assign V120888 = V416735 + 1. assign V402808 = V555849 + 1. assign V758233 = V846573 - 1. assign V506092 = V350229. assign V421623 = V836306 - 1. assign V027907 = V759002. assign V157875 = V441263 - 1. assign V682321 = V315432. assign V113953 = V719389. assign V868104 = V177695. assign V596692 = V555849 + 1. assign V538438 = V752359. assign V960848 = V803355 + 1. assign V720077 = V887270 - 1. assign V694594 = V386148 + 1. assign V717141 = V960848 - 1. assign V367721 = V555849 + 1. assign V312602 = V192876 - 1. assign V999098 = V446705 + 1. assign V887270 = V694594 - 1. assign V809576 = V803355. assign V414228 = V954835. assign V432705 = V464527 + 1. assign V441263 = V196720. assign V046055 = V599475 - 1. assign V711228 = V551170 + 1. assign V217997 = V773068 - 1. assign V599475 = V217997 - 1. assign V025576 = V521848 + 1. assign V258892 = V155434 - 1. assign V396387 = V524775 - 1. assign V316238 = V720077 - 1. assign V445053 = V773068. assign V378454 = V196720. assign V379247 = V506092 + 1. assign V514422 = V157875 + 1. assign V700715 = V260740. assign V776164 = V402808 - 1. assign V898943 = V960848 - 1. assign V520048 = V983978 + 1. assign V479678 = V217997. assign V076679 = V251015 + 1. assign V481284 = V999428. assign V011229 = V279592. assign V695583 = V538438. assign V193081 = V464527. assign V786379 = V918485 - 1. assign V002182 = V451068 + 1. assign V759002 = V551170 - 1. assign V555849 = V551170 + 1. assign V983978 = V599475. assign V269450 = V414228 + 1. assign V900496 = V190059. assign V524896 = V196720. assign V412420 = V217997 + 1. assign V633378 = V803355. assign V962046 = V773068 - 1. assign V113708 = V312602 - 1. assign V719389 = V711228 - 1. assign V542786 = V596692 - 1. assign V521848 = V036857. assign V764603 = V464527. assign V400042 = V949071. assign V882053 = V816151 + 1. assign V170171 = V953444 + 1. assign V451068 = V816151 - 1. assign V154706 = V976848. assign V319822 = V316238. assign V554057 = V217997 + 1. assign V052713 = V900496 + 1. assign V769544 = V694594. assign V192708 = V949071 + 1. assign V836306 = V402808 - 1. assign V196720 = V555849 + 1. assign V727592 = V367721 - 1. assign V620637 = V219080. assign V446705 = V918485. assign V803355 = V555849 - 1. assign V883418 = V356884 + 1. assign V339652 = V596692 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV100535 = 1;\n\nFrom these direct assignment(s), we have: \nV755757 = V100535 + 1 = 1 + 1 =2;\nNo other variables can be derived from V755757;\nNo other variables can be derived from V100535;\n\nNow we have done all the calculations. Derived variables are:\nV100535 = 1;\nV755757 = 2;\n\nNow we have finished this problem. ANSWER:\nV100535\n", "role": "assistant" } ]

[ "V560948" ]

[ { "content": "<context>\nassign V186004 = V615041 - 1. assign V162824 = V112922 - 1. assign V979835 = V820679. assign V570765 = V765759. assign V181531 = V271005 + 1. assign V189075 = V621971 - 1. assign V389272 = V868646 + 1. assign V721914 = V282883 + 1. assign V638950 = V955388 + 1. assign V765759 = V616915 + 1. assign V461589 = V902491 - 1. assign V723561 = V304921 + 1. assign V263847 = V940635 - 1. assign V334995 = V895474 - 1. assign V607506 = V875052. assign V646884 = V493662. assign V314069 = V875052 - 1. assign V060452 = V723561 - 1. assign V820679 = V493662 + 1. assign V875156 = V469369 - 1. assign V949105 = V282883. assign V357479 = V434413 + 1. assign V050344 = V675498 - 1. assign V564560 = V506707. assign V621971 = V309837. assign V954403 = V865128 - 1. assign V003887 = V868646 + 1. assign V902491 = V186004 + 1. assign V814279 = V264686 + 1. assign V669907 = V638950. assign V081605 = V065168 - 1. assign V674294 = V785300 - 1. assign V028632 = V916504. assign V875052 = V469369. assign V634901 = V765759. assign V535247 = V146523 - 1. assign V340102 = V253732. assign V780656 = V060865 + 1. assign V659786 = V943184 - 1. assign V865128 = V834205 + 1. assign V955388 = V469369. assign V956364 = V177759 - 1. assign V615041 = V765759 + 1. assign V493662 = V097571 + 1. assign V970867 = V314069. assign V078113 = V284172 - 1. assign V029694 = V177759. assign V300988 = V379113 + 1. assign V309837 = V097571. assign V735410 = V146523. assign V265905 = V005421. assign V395802 = V177759. assign V271005 = V927397 + 1. assign V140403 = V340102 - 1. assign V783719 = V186004 + 1. assign V627652 = V078113. assign V940635 = V304921. assign V516405 = V855559 + 1. assign V456894 = V902491. assign V985415 = V389272 + 1. assign V480828 = V721914 + 1. assign V373866 = V560948 - 1. assign V402142 = V754593 + 1. assign V977777 = V506707. assign V475738 = V186004 + 1. assign V320777 = V029292. assign V284172 = V808452 - 1. assign V674332 = V848538 + 1. assign V848538 = V562612. assign V571162 = V099925 + 1. assign V789899 = V188578. assign V583661 = V902491. assign V128320 = V892130. assign V264686 = V956364 + 1. assign V395569 = V357479 - 1. assign V372773 = V309837 + 1. assign V674276 = V634901 + 1. assign V703032 = V621971 + 1. assign V149032 = V162824. assign V556992 = V499144 - 1. assign V822906 = V962077 + 1. assign V566162 = V174881 + 1. assign V174881 = V616915 - 1. assign V434413 = V186004 + 1. assign V253732 = V309837. assign V849626 = V902491 + 1. assign V630596 = V177759 - 1. assign V868646 = V493662 + 1. assign V453706 = V402142 + 1. assign V392854 = V309837 + 1. assign V584737 = V506707 + 1. assign V091798 = V469369 + 1. assign V085747 = V820679 - 1. assign V365878 = V304921. assign V304921 = V754593 + 1. assign V835513 = V587570 + 1. assign V855559 = V340102. assign V897177 = V003739 + 1. assign V494375 = V469369. assign V120635 = V434413 - 1. assign V587570 = V378861. assign V554541 = V789899 + 1. assign V638905 = V340102 - 1. assign V895474 = V264686 - 1. assign V391990 = V855559 + 1. assign V378861 = V875052. assign V417160 = V615041 - 1. assign V295330 = V954403. assign V469369 = V112922 + 1. assign V810819 = V025855 + 1. assign V727876 = V300988 - 1. assign V532782 = V389272 - 1. assign V112922 = V621971. assign V434483 = V820679 - 1. assign V561140 = V282883. assign V158329 = V415032. assign V029292 = V566162 + 1. assign V506707 = V562612 + 1. assign V379113 = V562612. assign V834205 = V309837 + 1. assign V005421 = V562612 + 1. assign V794916 = V562612 - 1. assign V015546 = V634901. assign V114518 = V379113 + 1. assign V734758 = V389272 - 1. assign V696293 = V765759 - 1. assign V754593 = V865128 - 1. assign V787493 = V469369 + 1. assign V532055 = V780656 + 1. assign V282883 = V461589. assign V785300 = V570765 + 1. assign V835453 = V065168 - 1. assign V648361 = V927397. assign V502750 = V005421. assign V962077 = V186004. assign V149069 = V304921 - 1. assign V065168 = V112922. assign V095180 = V417160 - 1. assign V613760 = V499144 + 1. assign V758774 = V822906. assign V507191 = V391990 + 1. assign V181267 = V078113. assign V927397 = V005421. assign V003739 = V284172 + 1. assign V601082 = V892130. assign V297818 = V789899. assign V311670 = V494375 - 1. assign V675498 = V480828 + 1. assign V616915 = V309837 - 1. assign V146523 = V615041. assign V499144 = V955388. assign V562612 = V834205. assign V102635 = V005421. assign V560948 = 6. assign V242899 = V562612 + 1. assign V025855 = V834205 + 1. assign V060865 = V389272. assign V235461 = V094935 + 1. assign V099925 = V028632 - 1. assign V188578 = V493662. assign V892130 = V309837 - 1. assign V143206 = V561140. assign V500695 = V696293 + 1. assign V177759 = V309837 - 1. assign V808452 = V562612 + 1. assign V916504 = V734758 - 1. assign V094935 = V434413. assign V415032 = V849626 - 1. assign V203839 = V378861 + 1. assign V252066 = V584737 + 1. assign V943184 = V284172 + 1. assign V265748 = V028632 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V186004 = V615041 - 1. assign V162824 = V112922 - 1. assign V979835 = V820679. assign V570765 = V765759. assign V181531 = V271005 + 1. assign V189075 = V621971 - 1. assign V389272 = V868646 + 1. assign V721914 = V282883 + 1. assign V638950 = V955388 + 1. assign V765759 = V616915 + 1. assign V461589 = V902491 - 1. assign V723561 = V304921 + 1. assign V263847 = V940635 - 1. assign V334995 = V895474 - 1. assign V607506 = V875052. assign V646884 = V493662. assign V314069 = V875052 - 1. assign V060452 = V723561 - 1. assign V820679 = V493662 + 1. assign V875156 = V469369 - 1. assign V949105 = V282883. assign V357479 = V434413 + 1. assign V050344 = V675498 - 1. assign V564560 = V506707. assign V621971 = V309837. assign V954403 = V865128 - 1. assign V003887 = V868646 + 1. assign V902491 = V186004 + 1. assign V814279 = V264686 + 1. assign V669907 = V638950. assign V081605 = V065168 - 1. assign V674294 = V785300 - 1. assign V028632 = V916504. assign V875052 = V469369. assign V634901 = V765759. assign V535247 = V146523 - 1. assign V340102 = V253732. assign V780656 = V060865 + 1. assign V659786 = V943184 - 1. assign V865128 = V834205 + 1. assign V955388 = V469369. assign V956364 = V177759 - 1. assign V615041 = V765759 + 1. assign V493662 = V097571 + 1. assign V970867 = V314069. assign V078113 = V284172 - 1. assign V029694 = V177759. assign V300988 = V379113 + 1. assign V309837 = V097571. assign V735410 = V146523. assign V265905 = V005421. assign V395802 = V177759. assign V271005 = V927397 + 1. assign V140403 = V340102 - 1. assign V783719 = V186004 + 1. assign V627652 = V078113. assign V940635 = V304921. assign V516405 = V855559 + 1. assign V456894 = V902491. assign V985415 = V389272 + 1. assign V480828 = V721914 + 1. assign V373866 = V560948 - 1. assign V402142 = V754593 + 1. assign V977777 = V506707. assign V475738 = V186004 + 1. assign V320777 = V029292. assign V284172 = V808452 - 1. assign V674332 = V848538 + 1. assign V848538 = V562612. assign V571162 = V099925 + 1. assign V789899 = V188578. assign V583661 = V902491. assign V128320 = V892130. assign V264686 = V956364 + 1. assign V395569 = V357479 - 1. assign V372773 = V309837 + 1. assign V674276 = V634901 + 1. assign V703032 = V621971 + 1. assign V149032 = V162824. assign V556992 = V499144 - 1. assign V822906 = V962077 + 1. assign V566162 = V174881 + 1. assign V174881 = V616915 - 1. assign V434413 = V186004 + 1. assign V253732 = V309837. assign V849626 = V902491 + 1. assign V630596 = V177759 - 1. assign V868646 = V493662 + 1. assign V453706 = V402142 + 1. assign V392854 = V309837 + 1. assign V584737 = V506707 + 1. assign V091798 = V469369 + 1. assign V085747 = V820679 - 1. assign V365878 = V304921. assign V304921 = V754593 + 1. assign V835513 = V587570 + 1. assign V855559 = V340102. assign V897177 = V003739 + 1. assign V494375 = V469369. assign V120635 = V434413 - 1. assign V587570 = V378861. assign V554541 = V789899 + 1. assign V638905 = V340102 - 1. assign V895474 = V264686 - 1. assign V391990 = V855559 + 1. assign V378861 = V875052. assign V417160 = V615041 - 1. assign V295330 = V954403. assign V469369 = V112922 + 1. assign V810819 = V025855 + 1. assign V727876 = V300988 - 1. assign V532782 = V389272 - 1. assign V112922 = V621971. assign V434483 = V820679 - 1. assign V561140 = V282883. assign V158329 = V415032. assign V029292 = V566162 + 1. assign V506707 = V562612 + 1. assign V379113 = V562612. assign V834205 = V309837 + 1. assign V005421 = V562612 + 1. assign V794916 = V562612 - 1. assign V015546 = V634901. assign V114518 = V379113 + 1. assign V734758 = V389272 - 1. assign V696293 = V765759 - 1. assign V754593 = V865128 - 1. assign V787493 = V469369 + 1. assign V532055 = V780656 + 1. assign V282883 = V461589. assign V785300 = V570765 + 1. assign V835453 = V065168 - 1. assign V648361 = V927397. assign V502750 = V005421. assign V962077 = V186004. assign V149069 = V304921 - 1. assign V065168 = V112922. assign V095180 = V417160 - 1. assign V613760 = V499144 + 1. assign V758774 = V822906. assign V507191 = V391990 + 1. assign V181267 = V078113. assign V927397 = V005421. assign V003739 = V284172 + 1. assign V601082 = V892130. assign V297818 = V789899. assign V311670 = V494375 - 1. assign V675498 = V480828 + 1. assign V616915 = V309837 - 1. assign V146523 = V615041. assign V499144 = V955388. assign V562612 = V834205. assign V102635 = V005421. assign V560948 = 6. assign V242899 = V562612 + 1. assign V025855 = V834205 + 1. assign V060865 = V389272. assign V235461 = V094935 + 1. assign V099925 = V028632 - 1. assign V188578 = V493662. assign V892130 = V309837 - 1. assign V143206 = V561140. assign V500695 = V696293 + 1. assign V177759 = V309837 - 1. assign V808452 = V562612 + 1. assign V916504 = V734758 - 1. assign V094935 = V434413. assign V415032 = V849626 - 1. assign V203839 = V378861 + 1. assign V252066 = V584737 + 1. assign V943184 = V284172 + 1. assign V265748 = V028632 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV560948 = 6;\n\nFrom these direct assignment(s), we have: \nV373866 = V560948 - 1 = 6 - 1 =5;\nNo other variables can be derived from V373866;\nNo other variables can be derived from V560948;\n\nNow we have done all the calculations. Derived variables are:\nV560948 = 6;\nV373866 = 5;\n\nNow we have finished this problem. ANSWER:\nV560948\n", "role": "assistant" } ]

[ "V090735" ]

[ { "content": "<context>\nassign V552977 = V643231 + 1. assign V360292 = V330815 + 1. assign V667709 = V513304 - 1. assign V918123 = V435218 - 1. assign V296514 = V873237 - 1. assign V228020 = V339607. assign V447006 = V356122 - 1. assign V364062 = V008460 - 1. assign V930731 = V873535 + 1. assign V112144 = V552977 - 1. assign V356122 = V315798 + 1. assign V793100 = V525319 + 1. assign V951893 = V743917. assign V576252 = V691052 - 1. assign V824012 = V126912. assign V084612 = V360292 - 1. assign V054867 = 0. assign V467713 = V315798. assign V460951 = V427399 + 1. assign V540150 = V479147 - 1. assign V086117 = V218667 + 1. assign V050208 = V543269 + 1. assign V845567 = V748277 + 1. assign V704826 = V269917 - 1. assign V555547 = V046310 - 1. assign V389357 = V982611 - 1. assign V173236 = V125166 - 1. assign V689845 = V296514 - 1. assign V125166 = V743917 - 1. assign V666682 = V236690 - 1. assign V132461 = V126912 + 1. assign V843919 = V435218. assign V769660 = V207949 + 1. assign V435218 = V643231 + 1. assign V412372 = V705725. assign V691052 = V132461 + 1. assign V949993 = V648705. assign V274529 = V136873 - 1. assign V873237 = V126912. assign V297462 = V873535. assign V905194 = V008460 + 1. assign V771527 = V722415 - 1. assign V365998 = V050776. assign V630987 = V126912. assign V050776 = V194831. assign V648705 = V132461 - 1. assign V455965 = V330815 - 1. assign V982340 = V008460 + 1. assign V985014 = V455965 - 1. assign V525319 = V330815 - 1. assign V484112 = V274529. assign V740534 = V389357 + 1. assign V734339 = V269917 - 1. assign V801703 = V846690 - 1. assign V489508 = V873535. assign V853042 = V826499 + 1. assign V746874 = V771158. assign V491070 = V918123 + 1. assign V942251 = V112144 - 1. assign V316594 = V602880 + 1. assign V694922 = V075161. assign V243163 = V504427. assign V643231 = V873237 - 1. assign V780076 = V873535 + 1. assign V146354 = V632034 - 1. assign V916161 = V244438. assign V051223 = V223554 + 1. assign V621334 = V949993 - 1. assign V648919 = V269917 - 1. assign V218753 = V666682. assign V430170 = V134522 - 1. assign V948709 = V621334 - 1. assign V194297 = V360292 + 1. assign V258063 = V547926. assign V632034 = V427399 - 1. assign V504427 = V873237 - 1. assign V008675 = V243163 - 1. assign V205932 = V315798. assign V938715 = V666682. assign V360523 = V238299. assign V974161 = V597415. assign V090735 = V054867 + 1. assign V315798 = V722415 - 1. assign V219496 = V205932 + 1. assign V502884 = V942251 + 1. assign V547926 = V873535. assign V337045 = V365998. assign V580783 = V602880 - 1. assign V196602 = V873237. assign V732713 = V489508 - 1. assign V358017 = V880412. assign V339629 = V853042 - 1. assign V404279 = V297462 + 1. assign V343379 = V273616. assign V878984 = V194297. assign V207855 = V648705. assign V580267 = V364062 - 1. assign V056555 = V491070 + 1. assign V735866 = V602880 + 1. assign V880412 = V196602 + 1. assign V273616 = V547926. assign V058252 = V873535. assign V151704 = V666682 - 1. assign V722415 = V182294 - 1. assign V736007 = V526633. assign V842992 = V982340 - 1. assign V771158 = V347136. assign V373673 = V126912. assign V269917 = V244438. assign V597415 = V235775 - 1. assign V235775 = V207855 - 1. assign V179217 = V525319. assign V046310 = V196602 - 1. assign V223554 = V722415 + 1. assign V113353 = V734339 + 1. assign V589277 = V643231 + 1. assign V814024 = V364062. assign V218667 = V643231 - 1. assign V748277 = V643231. assign V136873 = V814024. assign V472364 = V447006 - 1. assign V982611 = V722415 + 1. assign V602880 = V112144 - 1. assign V407280 = V343379. assign V863134 = V691052 - 1. assign V227952 = V873535 - 1. assign V384039 = V008460 + 1. assign V339607 = V982340 + 1. assign V861347 = V743917 + 1. assign V985509 = V995775 + 1. assign V236690 = V008460. assign V590400 = V918123 + 1. assign V427399 = V526633 + 1. assign V995775 = V547926. assign V238299 = V273616. assign V174802 = V525319 + 1. assign V807911 = V905194 + 1. assign V849120 = V151704 - 1. assign V846690 = V125166 + 1. assign V586985 = V389357. assign V688734 = V389357 - 1. assign V891341 = V238299 - 1. assign V970780 = V269917 + 1. assign V347136 = V360292. assign V240463 = V484112 + 1. assign V330815 = V126912 - 1. assign V768247 = V316594 - 1. assign V496140 = V046310 - 1. assign V526633 = V552977. assign V574155 = V339629 + 1. assign V743917 = V734339 - 1. assign V479147 = V008460. assign V075161 = V525319. assign V826499 = V455965. assign V929864 = V722415 + 1. assign V741918 = V576252 + 1. assign V513304 = V643231. assign V139831 = V552977 + 1. assign V126912 = V008460 + 1. assign V207949 = V051223 - 1. assign V628434 = V389357 - 1. assign V412461 = V688734 - 1. assign V182294 = V236690. assign V134522 = V360523 + 1. assign V244438 = V126912 - 1. assign V873535 = V126912. assign V705725 = V223554 - 1. assign V402121 = V223554 - 1. assign V044139 = V722415. assign V543269 = V427399. assign V194831 = V628434 + 1. assign V846617 = V748277 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V552977 = V643231 + 1. assign V360292 = V330815 + 1. assign V667709 = V513304 - 1. assign V918123 = V435218 - 1. assign V296514 = V873237 - 1. assign V228020 = V339607. assign V447006 = V356122 - 1. assign V364062 = V008460 - 1. assign V930731 = V873535 + 1. assign V112144 = V552977 - 1. assign V356122 = V315798 + 1. assign V793100 = V525319 + 1. assign V951893 = V743917. assign V576252 = V691052 - 1. assign V824012 = V126912. assign V084612 = V360292 - 1. assign V054867 = 0. assign V467713 = V315798. assign V460951 = V427399 + 1. assign V540150 = V479147 - 1. assign V086117 = V218667 + 1. assign V050208 = V543269 + 1. assign V845567 = V748277 + 1. assign V704826 = V269917 - 1. assign V555547 = V046310 - 1. assign V389357 = V982611 - 1. assign V173236 = V125166 - 1. assign V689845 = V296514 - 1. assign V125166 = V743917 - 1. assign V666682 = V236690 - 1. assign V132461 = V126912 + 1. assign V843919 = V435218. assign V769660 = V207949 + 1. assign V435218 = V643231 + 1. assign V412372 = V705725. assign V691052 = V132461 + 1. assign V949993 = V648705. assign V274529 = V136873 - 1. assign V873237 = V126912. assign V297462 = V873535. assign V905194 = V008460 + 1. assign V771527 = V722415 - 1. assign V365998 = V050776. assign V630987 = V126912. assign V050776 = V194831. assign V648705 = V132461 - 1. assign V455965 = V330815 - 1. assign V982340 = V008460 + 1. assign V985014 = V455965 - 1. assign V525319 = V330815 - 1. assign V484112 = V274529. assign V740534 = V389357 + 1. assign V734339 = V269917 - 1. assign V801703 = V846690 - 1. assign V489508 = V873535. assign V853042 = V826499 + 1. assign V746874 = V771158. assign V491070 = V918123 + 1. assign V942251 = V112144 - 1. assign V316594 = V602880 + 1. assign V694922 = V075161. assign V243163 = V504427. assign V643231 = V873237 - 1. assign V780076 = V873535 + 1. assign V146354 = V632034 - 1. assign V916161 = V244438. assign V051223 = V223554 + 1. assign V621334 = V949993 - 1. assign V648919 = V269917 - 1. assign V218753 = V666682. assign V430170 = V134522 - 1. assign V948709 = V621334 - 1. assign V194297 = V360292 + 1. assign V258063 = V547926. assign V632034 = V427399 - 1. assign V504427 = V873237 - 1. assign V008675 = V243163 - 1. assign V205932 = V315798. assign V938715 = V666682. assign V360523 = V238299. assign V974161 = V597415. assign V090735 = V054867 + 1. assign V315798 = V722415 - 1. assign V219496 = V205932 + 1. assign V502884 = V942251 + 1. assign V547926 = V873535. assign V337045 = V365998. assign V580783 = V602880 - 1. assign V196602 = V873237. assign V732713 = V489508 - 1. assign V358017 = V880412. assign V339629 = V853042 - 1. assign V404279 = V297462 + 1. assign V343379 = V273616. assign V878984 = V194297. assign V207855 = V648705. assign V580267 = V364062 - 1. assign V056555 = V491070 + 1. assign V735866 = V602880 + 1. assign V880412 = V196602 + 1. assign V273616 = V547926. assign V058252 = V873535. assign V151704 = V666682 - 1. assign V722415 = V182294 - 1. assign V736007 = V526633. assign V842992 = V982340 - 1. assign V771158 = V347136. assign V373673 = V126912. assign V269917 = V244438. assign V597415 = V235775 - 1. assign V235775 = V207855 - 1. assign V179217 = V525319. assign V046310 = V196602 - 1. assign V223554 = V722415 + 1. assign V113353 = V734339 + 1. assign V589277 = V643231 + 1. assign V814024 = V364062. assign V218667 = V643231 - 1. assign V748277 = V643231. assign V136873 = V814024. assign V472364 = V447006 - 1. assign V982611 = V722415 + 1. assign V602880 = V112144 - 1. assign V407280 = V343379. assign V863134 = V691052 - 1. assign V227952 = V873535 - 1. assign V384039 = V008460 + 1. assign V339607 = V982340 + 1. assign V861347 = V743917 + 1. assign V985509 = V995775 + 1. assign V236690 = V008460. assign V590400 = V918123 + 1. assign V427399 = V526633 + 1. assign V995775 = V547926. assign V238299 = V273616. assign V174802 = V525319 + 1. assign V807911 = V905194 + 1. assign V849120 = V151704 - 1. assign V846690 = V125166 + 1. assign V586985 = V389357. assign V688734 = V389357 - 1. assign V891341 = V238299 - 1. assign V970780 = V269917 + 1. assign V347136 = V360292. assign V240463 = V484112 + 1. assign V330815 = V126912 - 1. assign V768247 = V316594 - 1. assign V496140 = V046310 - 1. assign V526633 = V552977. assign V574155 = V339629 + 1. assign V743917 = V734339 - 1. assign V479147 = V008460. assign V075161 = V525319. assign V826499 = V455965. assign V929864 = V722415 + 1. assign V741918 = V576252 + 1. assign V513304 = V643231. assign V139831 = V552977 + 1. assign V126912 = V008460 + 1. assign V207949 = V051223 - 1. assign V628434 = V389357 - 1. assign V412461 = V688734 - 1. assign V182294 = V236690. assign V134522 = V360523 + 1. assign V244438 = V126912 - 1. assign V873535 = V126912. assign V705725 = V223554 - 1. assign V402121 = V223554 - 1. assign V044139 = V722415. assign V543269 = V427399. assign V194831 = V628434 + 1. assign V846617 = V748277 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV054867 = 0;\n\nFrom these direct assignment(s), we have: \nV090735 = V054867 + 1 = 0 + 1 =1;\nNo other variables can be derived from V090735;\nNo other variables can be derived from V054867;\n\nNow we have done all the calculations. Derived variables are:\nV054867 = 0;\nV090735 = 1;\n\nNow we have finished this problem. ANSWER:\nV090735\n", "role": "assistant" } ]

[ "V810671" ]

[ { "content": "<context>\nassign V839006 = V762863. assign V236750 = V019138 + 1. assign V019138 = V281698. assign V004959 = V159763 - 1. assign V420946 = V091367 - 1. assign V211163 = V812825. assign V561638 = V509817 - 1. assign V259970 = V561638 - 1. assign V591250 = V762863 + 1. assign V173599 = V241774. assign V643361 = V160023 + 1. assign V875149 = V741069 - 1. assign V200420 = V296335. assign V124238 = V346488 - 1. assign V332234 = V347248 - 1. assign V559891 = V867497 + 1. assign V994432 = V420946 - 1. assign V683517 = V432911. assign V174899 = V953913 + 1. assign V842555 = V739375 + 1. assign V346335 = V905191. assign V358551 = V339606. assign V995555 = V147252 - 1. assign V284863 = V591250. assign V762863 = V385527. assign V700860 = V385527. assign V080227 = V296335 - 1. assign V891662 = V466180 - 1. assign V486443 = V445080. assign V503763 = V643361 + 1. assign V173528 = V486443 + 1. assign V316849 = V450914. assign V593538 = V800291 - 1. assign V162001 = V700860 + 1. assign V121158 = V646016 - 1. assign V031825 = V316849 + 1. assign V229706 = V643361 - 1. assign V312237 = V452290 + 1. assign V756107 = V153705 + 1. assign V968912 = V339606. assign V165496 = V700860 + 1. assign V752350 = V591250 - 1. assign V939714 = V165496 + 1. assign V101412 = V700924 + 1. assign V189874 = V905191. assign V700924 = V296335. assign V159763 = V700924 + 1. assign V442453 = V769624 + 1. assign V800291 = V584271 + 1. assign V110364 = V466180. assign V646016 = V700860 - 1. assign V445080 = V376892. assign V676634 = V486443. assign V385168 = V519666 + 1. assign V712948 = V083398. assign V217219 = V033919. assign V347248 = V732940 + 1. assign V524053 = V385527 + 1. assign V812825 = V897561. assign V820501 = V376892. assign V565970 = V385527 - 1. assign V183722 = V385527. assign V109527 = V752350 - 1. assign V160023 = V762863 - 1. assign V037279 = V524053 + 1. assign V346488 = V666693 - 1. assign V792478 = V161066. assign V650778 = V881177 - 1. assign V325023 = V385527 - 1. assign V037227 = V442453 + 1. assign V701866 = V161066. assign V339606 = V083398. assign V732940 = V769624 + 1. assign V241774 = V897561 - 1. assign V150146 = V486443 + 1. assign V810671 = V133210 - 1. assign V117053 = V677418 - 1. assign V441057 = V296335. assign V859560 = V033919 + 1. assign V450914 = V346488 + 1. assign V303746 = V717163. assign V771075 = V477156 - 1. assign V840933 = V791559. assign V607067 = V570631 + 1. assign V455209 = V842555 - 1. assign V094514 = V475358 - 1. assign V147252 = V385527 + 1. assign V716178 = V160023 - 1. assign V147096 = V867497 - 1. assign V684950 = V452290 - 1. assign V452290 = V732940. assign V878590 = V565970 + 1. assign V584271 = V420946. assign V002262 = V303746 + 1. assign V741069 = V376892 + 1. assign V664694 = V420946. assign V154397 = V812825 + 1. assign V542422 = V732940 + 1. assign V049675 = V927148 - 1. assign V732301 = V700924 + 1. assign V356472 = V881177. assign V523665 = V769624 - 1. assign V867497 = V762863. assign V621283 = V284863. assign V477156 = V063664. assign V306190 = V316849 + 1. assign V017255 = V547197 + 1. assign V302062 = V083398 + 1. assign V927148 = V042060 - 1. assign V161066 = V732940 + 1. assign V432911 = V762863 + 1. assign V535598 = V511285. assign V091367 = V762863 - 1. assign V905191 = V042060 - 1. assign V798375 = V664694. assign V144979 = V159763 - 1. assign V194739 = V732301. assign V387919 = V842143. assign V765008 = V570631 + 1. assign V792862 = V633972. assign V134727 = V905191 + 1. assign V083398 = V296335. assign V063664 = V700924 + 1. assign V153705 = V063664. assign V677418 = V154397 - 1. assign V281698 = V547197 + 1. assign V842143 = V153705. assign V769624 = V700924. assign V897561 = V584271 - 1. assign V511285 = V664694. assign V111602 = V241774 - 1. assign V466180 = V217219. assign V785365 = V881761 + 1. assign V042060 = V812825 - 1. assign V069501 = V185714 - 1. assign V185714 = V165496. assign V881177 = V420946. assign V547223 = V633972 + 1. assign V570631 = V445080. assign V841438 = V677418 + 1. assign V370367 = V212276 - 1. assign V547197 = V666693 + 1. assign V969989 = V842143 + 1. assign V385527 = V296335. assign V717163 = V756107 + 1. assign V376892 = V385527 + 1. assign V017909 = V346488 + 1. assign V509817 = V769624. assign V749577 = V385527. assign V936944 = V049675 + 1. assign V519666 = V732940. assign V633972 = V212276. assign V719169 = V332234. assign V133210 = 2. assign V740428 = V466180 - 1. assign V212276 = V565970. assign V791559 = V785365 + 1. assign V361008 = V161066 + 1. assign V354822 = V346488 - 1. assign V486920 = V049675. assign V558576 = V739375. assign V666693 = V296335 - 1. assign V953913 = V316849 - 1. assign V475358 = V820501. assign V178433 = V111602 + 1. assign V362169 = V361008. assign V033919 = V881177 - 1. assign V922228 = V302062. assign V881963 = V332234. assign V739375 = V732940 - 1. assign V778084 = V450914 - 1. assign V881761 = V091367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V839006 = V762863. assign V236750 = V019138 + 1. assign V019138 = V281698. assign V004959 = V159763 - 1. assign V420946 = V091367 - 1. assign V211163 = V812825. assign V561638 = V509817 - 1. assign V259970 = V561638 - 1. assign V591250 = V762863 + 1. assign V173599 = V241774. assign V643361 = V160023 + 1. assign V875149 = V741069 - 1. assign V200420 = V296335. assign V124238 = V346488 - 1. assign V332234 = V347248 - 1. assign V559891 = V867497 + 1. assign V994432 = V420946 - 1. assign V683517 = V432911. assign V174899 = V953913 + 1. assign V842555 = V739375 + 1. assign V346335 = V905191. assign V358551 = V339606. assign V995555 = V147252 - 1. assign V284863 = V591250. assign V762863 = V385527. assign V700860 = V385527. assign V080227 = V296335 - 1. assign V891662 = V466180 - 1. assign V486443 = V445080. assign V503763 = V643361 + 1. assign V173528 = V486443 + 1. assign V316849 = V450914. assign V593538 = V800291 - 1. assign V162001 = V700860 + 1. assign V121158 = V646016 - 1. assign V031825 = V316849 + 1. assign V229706 = V643361 - 1. assign V312237 = V452290 + 1. assign V756107 = V153705 + 1. assign V968912 = V339606. assign V165496 = V700860 + 1. assign V752350 = V591250 - 1. assign V939714 = V165496 + 1. assign V101412 = V700924 + 1. assign V189874 = V905191. assign V700924 = V296335. assign V159763 = V700924 + 1. assign V442453 = V769624 + 1. assign V800291 = V584271 + 1. assign V110364 = V466180. assign V646016 = V700860 - 1. assign V445080 = V376892. assign V676634 = V486443. assign V385168 = V519666 + 1. assign V712948 = V083398. assign V217219 = V033919. assign V347248 = V732940 + 1. assign V524053 = V385527 + 1. assign V812825 = V897561. assign V820501 = V376892. assign V565970 = V385527 - 1. assign V183722 = V385527. assign V109527 = V752350 - 1. assign V160023 = V762863 - 1. assign V037279 = V524053 + 1. assign V346488 = V666693 - 1. assign V792478 = V161066. assign V650778 = V881177 - 1. assign V325023 = V385527 - 1. assign V037227 = V442453 + 1. assign V701866 = V161066. assign V339606 = V083398. assign V732940 = V769624 + 1. assign V241774 = V897561 - 1. assign V150146 = V486443 + 1. assign V810671 = V133210 - 1. assign V117053 = V677418 - 1. assign V441057 = V296335. assign V859560 = V033919 + 1. assign V450914 = V346488 + 1. assign V303746 = V717163. assign V771075 = V477156 - 1. assign V840933 = V791559. assign V607067 = V570631 + 1. assign V455209 = V842555 - 1. assign V094514 = V475358 - 1. assign V147252 = V385527 + 1. assign V716178 = V160023 - 1. assign V147096 = V867497 - 1. assign V684950 = V452290 - 1. assign V452290 = V732940. assign V878590 = V565970 + 1. assign V584271 = V420946. assign V002262 = V303746 + 1. assign V741069 = V376892 + 1. assign V664694 = V420946. assign V154397 = V812825 + 1. assign V542422 = V732940 + 1. assign V049675 = V927148 - 1. assign V732301 = V700924 + 1. assign V356472 = V881177. assign V523665 = V769624 - 1. assign V867497 = V762863. assign V621283 = V284863. assign V477156 = V063664. assign V306190 = V316849 + 1. assign V017255 = V547197 + 1. assign V302062 = V083398 + 1. assign V927148 = V042060 - 1. assign V161066 = V732940 + 1. assign V432911 = V762863 + 1. assign V535598 = V511285. assign V091367 = V762863 - 1. assign V905191 = V042060 - 1. assign V798375 = V664694. assign V144979 = V159763 - 1. assign V194739 = V732301. assign V387919 = V842143. assign V765008 = V570631 + 1. assign V792862 = V633972. assign V134727 = V905191 + 1. assign V083398 = V296335. assign V063664 = V700924 + 1. assign V153705 = V063664. assign V677418 = V154397 - 1. assign V281698 = V547197 + 1. assign V842143 = V153705. assign V769624 = V700924. assign V897561 = V584271 - 1. assign V511285 = V664694. assign V111602 = V241774 - 1. assign V466180 = V217219. assign V785365 = V881761 + 1. assign V042060 = V812825 - 1. assign V069501 = V185714 - 1. assign V185714 = V165496. assign V881177 = V420946. assign V547223 = V633972 + 1. assign V570631 = V445080. assign V841438 = V677418 + 1. assign V370367 = V212276 - 1. assign V547197 = V666693 + 1. assign V969989 = V842143 + 1. assign V385527 = V296335. assign V717163 = V756107 + 1. assign V376892 = V385527 + 1. assign V017909 = V346488 + 1. assign V509817 = V769624. assign V749577 = V385527. assign V936944 = V049675 + 1. assign V519666 = V732940. assign V633972 = V212276. assign V719169 = V332234. assign V133210 = 2. assign V740428 = V466180 - 1. assign V212276 = V565970. assign V791559 = V785365 + 1. assign V361008 = V161066 + 1. assign V354822 = V346488 - 1. assign V486920 = V049675. assign V558576 = V739375. assign V666693 = V296335 - 1. assign V953913 = V316849 - 1. assign V475358 = V820501. assign V178433 = V111602 + 1. assign V362169 = V361008. assign V033919 = V881177 - 1. assign V922228 = V302062. assign V881963 = V332234. assign V739375 = V732940 - 1. assign V778084 = V450914 - 1. assign V881761 = V091367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV133210 = 2;\n\nFrom these direct assignment(s), we have: \nV810671 = V133210 - 1 = 2 - 1 =1;\nNo other variables can be derived from V810671;\nNo other variables can be derived from V133210;\n\nNow we have done all the calculations. Derived variables are:\nV133210 = 2;\nV810671 = 1;\n\nNow we have finished this problem. ANSWER:\nV810671\n", "role": "assistant" } ]

[ "V630768" ]

[ { "content": "<context>\nassign V777601 = V442265 + 1. assign V979612 = V152283. assign V967879 = V482411 - 1. assign V556646 = V265365. assign V863202 = V373897. assign V300598 = V777601. assign V018075 = V181291 - 1. assign V349086 = V482411 - 1. assign V404322 = V790669 + 1. assign V368728 = V645123. assign V636602 = V281031 - 1. assign V528320 = V883503 + 1. assign V629755 = V416812. assign V579465 = V273283 + 1. assign V605300 = V630768 - 1. assign V693338 = V122058 - 1. assign V856818 = V360821 - 1. assign V338259 = V458083. assign V829728 = V187002 + 1. assign V469816 = V491343 - 1. assign V099237 = V246201 + 1. assign V599943 = V273283 + 1. assign V951375 = V154760. assign V490896 = V762710 - 1. assign V187002 = V482411 + 1. assign V910903 = V416812. assign V344107 = V317791 - 1. assign V885534 = V124593 + 1. assign V426452 = V094850 + 1. assign V137700 = V482411. assign V792407 = V851568 - 1. assign V748865 = V629755. assign V373897 = V762710. assign V122058 = V349086 - 1. assign V551371 = V625270. assign V644647 = V246201. assign V568041 = V137700 - 1. assign V762710 = V645123 + 1. assign V094535 = V898442 + 1. assign V689190 = V356402 + 1. assign V352838 = V029822 + 1. assign V356248 = V246201 - 1. assign V843971 = V066420. assign V589464 = V094850 - 1. assign V578712 = V967108 + 1. assign V361705 = V300598. assign V243565 = V979612 - 1. assign V793295 = V235646 - 1. assign V083834 = V829728. assign V768536 = V442265 + 1. assign V356402 = V926300 - 1. assign V784396 = V791591 + 1. assign V468830 = V034625 + 1. assign V390852 = V523419 + 1. assign V691974 = V099237 - 1. assign V902327 = V662745 + 1. assign V153514 = V829728 - 1. assign V742023 = V910903 - 1. assign V416812 = V246201 - 1. assign V867082 = V349086 - 1. assign V967108 = V029822. assign V733512 = V579126 + 1. assign V941700 = V770166 + 1. assign V153211 = V273283 + 1. assign V688867 = V829728 + 1. assign V821085 = V987759 + 1. assign V791591 = V154760. assign V689064 = V870383. assign V068881 = V154760. assign V662745 = V520526. assign V520526 = V951375. assign V360821 = V373897 + 1. assign V770166 = V616087. assign V718794 = V356248. assign V154760 = V181291 - 1. assign V591539 = V867082 + 1. assign V066420 = V416812 - 1. assign V235646 = V356248 - 1. assign V302750 = V579465. assign V390174 = V246201 + 1. assign V989836 = V622424 + 1. assign V067263 = V963489 - 1. assign V076533 = V821085 + 1. assign V206762 = V490139 + 1. assign V891456 = V579465 + 1. assign V606010 = V137700. assign V987759 = V469816 + 1. assign V928628 = V902722 + 1. assign V523036 = V768536. assign V160805 = V963489. assign V406626 = V317791 - 1. assign V755763 = V910903. assign V107849 = V066420 + 1. assign V491343 = V762710 + 1. assign V680987 = V993645 + 1. assign V029822 = V273283 - 1. assign V926300 = V097528. assign V111607 = V742023 + 1. assign V397355 = V029822 - 1. assign V993645 = V793295 + 1. assign V189082 = V083834 + 1. assign V660678 = V107849 + 1. assign V458275 = V097528. assign V625270 = V468332 - 1. assign V184664 = V967108 - 1. assign V392130 = V979612. assign V613128 = V579465 + 1. assign V898442 = V018075. assign V579126 = V693338 + 1. assign V458083 = V442265 - 1. assign V686844 = V392130 + 1. assign V093054 = V993645 - 1. assign V681449 = V993645 + 1. assign V494433 = V887308 - 1. assign V681374 = V302750 - 1. assign V391157 = V468332 - 1. assign V417832 = V616087 + 1. assign V555692 = V770166 + 1. assign V419021 = V097528 + 1. assign V897785 = V152283. assign V482411 = V246201 + 1. assign V386092 = V429992. assign V368355 = V777601 + 1. assign V273283 = V616087. assign V542991 = V122058. assign V194866 = V246201. assign V542198 = V469816. assign V482001 = V187002 - 1. assign V442265 = V068881. assign V645123 = V356248 + 1. assign V190410 = V154760 - 1. assign V490139 = V910903. assign V539625 = V246201 + 1. assign V265365 = V777601 - 1. assign V963489 = V910903 - 1. assign V297591 = V458083. assign V109846 = V458083. assign V883503 = V616087. assign V427698 = V273283. assign V066586 = V622424 + 1. assign V851568 = V273283. assign V887308 = V206762 + 1. assign V870383 = V458083 - 1. assign V790669 = V910903 - 1. assign V094850 = V154760. assign V181291 = V356248 - 1. assign V134306 = V791591 - 1. assign V940680 = V190410 + 1. assign V181360 = V867082 + 1. assign V429992 = V190410. assign V616087 = V777601 - 1. assign V523419 = V542991 + 1. assign V623630 = V152283 - 1. assign V622424 = V542198. assign V317791 = V397355 + 1. assign V802645 = V616087 + 1. assign V397925 = V578712. assign V401715 = V951375 + 1. assign V653960 = V273283 + 1. assign V257191 = V520526 - 1. assign V152283 = V181291 - 1. assign V468332 = V527579 - 1. assign V978359 = V520526. assign V097528 = V356248 - 1. assign V281031 = V491343 - 1. assign V034625 = V235646. assign V630768 = 9. assign V124593 = V616087 + 1. assign V948863 = V887308 - 1. assign V902722 = V523419. assign V523055 = V689190 - 1. assign V527579 = V867082 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V777601 = V442265 + 1. assign V979612 = V152283. assign V967879 = V482411 - 1. assign V556646 = V265365. assign V863202 = V373897. assign V300598 = V777601. assign V018075 = V181291 - 1. assign V349086 = V482411 - 1. assign V404322 = V790669 + 1. assign V368728 = V645123. assign V636602 = V281031 - 1. assign V528320 = V883503 + 1. assign V629755 = V416812. assign V579465 = V273283 + 1. assign V605300 = V630768 - 1. assign V693338 = V122058 - 1. assign V856818 = V360821 - 1. assign V338259 = V458083. assign V829728 = V187002 + 1. assign V469816 = V491343 - 1. assign V099237 = V246201 + 1. assign V599943 = V273283 + 1. assign V951375 = V154760. assign V490896 = V762710 - 1. assign V187002 = V482411 + 1. assign V910903 = V416812. assign V344107 = V317791 - 1. assign V885534 = V124593 + 1. assign V426452 = V094850 + 1. assign V137700 = V482411. assign V792407 = V851568 - 1. assign V748865 = V629755. assign V373897 = V762710. assign V122058 = V349086 - 1. assign V551371 = V625270. assign V644647 = V246201. assign V568041 = V137700 - 1. assign V762710 = V645123 + 1. assign V094535 = V898442 + 1. assign V689190 = V356402 + 1. assign V352838 = V029822 + 1. assign V356248 = V246201 - 1. assign V843971 = V066420. assign V589464 = V094850 - 1. assign V578712 = V967108 + 1. assign V361705 = V300598. assign V243565 = V979612 - 1. assign V793295 = V235646 - 1. assign V083834 = V829728. assign V768536 = V442265 + 1. assign V356402 = V926300 - 1. assign V784396 = V791591 + 1. assign V468830 = V034625 + 1. assign V390852 = V523419 + 1. assign V691974 = V099237 - 1. assign V902327 = V662745 + 1. assign V153514 = V829728 - 1. assign V742023 = V910903 - 1. assign V416812 = V246201 - 1. assign V867082 = V349086 - 1. assign V967108 = V029822. assign V733512 = V579126 + 1. assign V941700 = V770166 + 1. assign V153211 = V273283 + 1. assign V688867 = V829728 + 1. assign V821085 = V987759 + 1. assign V791591 = V154760. assign V689064 = V870383. assign V068881 = V154760. assign V662745 = V520526. assign V520526 = V951375. assign V360821 = V373897 + 1. assign V770166 = V616087. assign V718794 = V356248. assign V154760 = V181291 - 1. assign V591539 = V867082 + 1. assign V066420 = V416812 - 1. assign V235646 = V356248 - 1. assign V302750 = V579465. assign V390174 = V246201 + 1. assign V989836 = V622424 + 1. assign V067263 = V963489 - 1. assign V076533 = V821085 + 1. assign V206762 = V490139 + 1. assign V891456 = V579465 + 1. assign V606010 = V137700. assign V987759 = V469816 + 1. assign V928628 = V902722 + 1. assign V523036 = V768536. assign V160805 = V963489. assign V406626 = V317791 - 1. assign V755763 = V910903. assign V107849 = V066420 + 1. assign V491343 = V762710 + 1. assign V680987 = V993645 + 1. assign V029822 = V273283 - 1. assign V926300 = V097528. assign V111607 = V742023 + 1. assign V397355 = V029822 - 1. assign V993645 = V793295 + 1. assign V189082 = V083834 + 1. assign V660678 = V107849 + 1. assign V458275 = V097528. assign V625270 = V468332 - 1. assign V184664 = V967108 - 1. assign V392130 = V979612. assign V613128 = V579465 + 1. assign V898442 = V018075. assign V579126 = V693338 + 1. assign V458083 = V442265 - 1. assign V686844 = V392130 + 1. assign V093054 = V993645 - 1. assign V681449 = V993645 + 1. assign V494433 = V887308 - 1. assign V681374 = V302750 - 1. assign V391157 = V468332 - 1. assign V417832 = V616087 + 1. assign V555692 = V770166 + 1. assign V419021 = V097528 + 1. assign V897785 = V152283. assign V482411 = V246201 + 1. assign V386092 = V429992. assign V368355 = V777601 + 1. assign V273283 = V616087. assign V542991 = V122058. assign V194866 = V246201. assign V542198 = V469816. assign V482001 = V187002 - 1. assign V442265 = V068881. assign V645123 = V356248 + 1. assign V190410 = V154760 - 1. assign V490139 = V910903. assign V539625 = V246201 + 1. assign V265365 = V777601 - 1. assign V963489 = V910903 - 1. assign V297591 = V458083. assign V109846 = V458083. assign V883503 = V616087. assign V427698 = V273283. assign V066586 = V622424 + 1. assign V851568 = V273283. assign V887308 = V206762 + 1. assign V870383 = V458083 - 1. assign V790669 = V910903 - 1. assign V094850 = V154760. assign V181291 = V356248 - 1. assign V134306 = V791591 - 1. assign V940680 = V190410 + 1. assign V181360 = V867082 + 1. assign V429992 = V190410. assign V616087 = V777601 - 1. assign V523419 = V542991 + 1. assign V623630 = V152283 - 1. assign V622424 = V542198. assign V317791 = V397355 + 1. assign V802645 = V616087 + 1. assign V397925 = V578712. assign V401715 = V951375 + 1. assign V653960 = V273283 + 1. assign V257191 = V520526 - 1. assign V152283 = V181291 - 1. assign V468332 = V527579 - 1. assign V978359 = V520526. assign V097528 = V356248 - 1. assign V281031 = V491343 - 1. assign V034625 = V235646. assign V630768 = 9. assign V124593 = V616087 + 1. assign V948863 = V887308 - 1. assign V902722 = V523419. assign V523055 = V689190 - 1. assign V527579 = V867082 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV630768 = 9;\n\nFrom these direct assignment(s), we have: \nV605300 = V630768 - 1 = 9 - 1 =8;\nNo other variables can be derived from V605300;\nNo other variables can be derived from V630768;\n\nNow we have done all the calculations. Derived variables are:\nV630768 = 9;\nV605300 = 8;\n\nNow we have finished this problem. ANSWER:\nV630768\n", "role": "assistant" } ]

[ "V936532" ]

[ { "content": "<context>\nassign V020685 = V327634 + 1. assign V247828 = V471214 - 1. assign V005251 = V214954 + 1. assign V060815 = V002046 + 1. assign V936532 = 3. assign V214954 = V490025. assign V710333 = V515943 + 1. assign V265517 = V526259 + 1. assign V774823 = V209370 + 1. assign V645823 = V152822 - 1. assign V539044 = V553790 - 1. assign V959670 = V949726 + 1. assign V471214 = V379565 - 1. assign V889927 = V379565 + 1. assign V747834 = V710333. assign V147986 = V441521 - 1. assign V514992 = V251785 - 1. assign V696986 = V607759 - 1. assign V320696 = V681591 + 1. assign V037762 = V590527 + 1. assign V539224 = V107737 + 1. assign V940835 = V962929 - 1. assign V388586 = V002046. assign V287049 = V199214 - 1. assign V187366 = V696986. assign V513339 = V254493 - 1. assign V449931 = V800963. assign V392637 = V441521. assign V625427 = V107118 + 1. assign V980908 = V546042 - 1. assign V661149 = V107737. assign V002046 = V225754. assign V010702 = V265517. assign V608748 = V515943. assign V455673 = V526259 - 1. assign V176637 = V018763 - 1. assign V434812 = V208999. assign V893474 = V141531 + 1. assign V296117 = V526259. assign V366557 = V251785 + 1. assign V707033 = V317904 - 1. assign V172577 = V285641 - 1. assign V526259 = V984794 - 1. assign V494597 = V052664 - 1. assign V599948 = V684273 + 1. assign V579351 = V392637 + 1. assign V199214 = V148186 + 1. assign V137192 = V768632 + 1. assign V018763 = V441521 + 1. assign V949726 = V471214. assign V497470 = V619001 - 1. assign V163687 = V066241. assign V141531 = V018763 + 1. assign V139036 = V020685 - 1. assign V526435 = V884938. assign V600167 = V141531 - 1. assign V684273 = V703288. assign V078389 = V889927 + 1. assign V147821 = V515943 + 1. assign V481872 = V719188. assign V439958 = V285641. assign V436734 = V141531. assign V097877 = V681177 + 1. assign V848759 = V888383. assign V182984 = V607759 + 1. assign V936415 = V600167. assign V993146 = V320696. assign V607759 = V251785 + 1. assign V037925 = V600167. assign V616220 = V608748 + 1. assign V948465 = V607759 + 1. assign V454006 = V037762 + 1. assign V681798 = V252649. assign V648318 = V364625 - 1. assign V431243 = V995787 + 1. assign V257743 = V134829. assign V739148 = V600167. assign V211299 = V619001 + 1. assign V317904 = V600167 - 1. assign V666435 = V515943. assign V107737 = V684273 - 1. assign V681591 = V884938 - 1. assign V337913 = V703288 - 1. assign V254493 = V893474 - 1. assign V771172 = V005251 - 1. assign V843623 = V037762. assign V280636 = V608748 - 1. assign V984794 = V141531. assign V379565 = V208999. assign V066241 = V441521 - 1. assign V052664 = V379565 + 1. assign V580696 = V600167. assign V590527 = V984794 - 1. assign V470582 = V224722 - 1. assign V502806 = V747834. assign V134829 = V815040. assign V235741 = V187366 - 1. assign V077447 = V696986. assign V621396 = V327634 - 1. assign V681177 = V280636 + 1. assign V919698 = V666435 + 1. assign V682023 = V739148. assign V224722 = V076255 + 1. assign V181054 = V074387 + 1. assign V274573 = V599948 + 1. assign V364625 = V209370 + 1. assign V107118 = V899172. assign V074387 = V224722 + 1. assign V310892 = V379565. assign V226029 = V019003 - 1. assign V654557 = V148186. assign V905321 = V936532 + 1. assign V515943 = V208999. assign V619001 = V666435 - 1. assign V957983 = V020685 + 1. assign V878787 = V719188. assign V539643 = V553790 + 1. assign V279239 = V020685 - 1. assign V888383 = V392637. assign V136998 = V666435 - 1. assign V251785 = V379565. assign V299257 = V580696 - 1. assign V148186 = V187366. assign V729664 = V526259 - 1. assign V327634 = V076255 - 1. assign V252649 = V005251. assign V209370 = V526259 - 1. assign V030333 = V471214 - 1. assign V076255 = V526259 - 1. assign V273534 = V187366 + 1. assign V899172 = V600167 - 1. assign V280867 = V984794. assign V072011 = V893474 + 1. assign V475391 = V214954. assign V152822 = V208999 + 1. assign V104624 = V265517 + 1. assign V267447 = V957983. assign V800963 = V608748 + 1. assign V309655 = V176637 - 1. assign V669637 = V703288 + 1. assign V649635 = V364625 + 1. assign V410488 = V513339 + 1. assign V145307 = V681177 + 1. assign V490025 = V018763 + 1. assign V441521 = V379565 - 1. assign V703288 = V526259 + 1. assign V774084 = V607759 - 1. assign V019003 = V066241 - 1. assign V725007 = V768632. assign V700403 = V681177 + 1. assign V831369 = V107118. assign V961759 = V919698. assign V962929 = V526435 + 1. assign V225754 = V919698 + 1. assign V285641 = V481872. assign V884474 = V187366 - 1. assign V995787 = V774823 + 1. assign V222659 = V254493 + 1. assign V719188 = V490025. assign V960697 = V310892. assign V884938 = V224722. assign V041852 = V187366 + 1. assign V546042 = V019003 + 1. assign V768632 = V254493. assign V553790 = V280636 - 1. assign V815040 = V993146 - 1. assign V311152 = V848759 - 1. assign V987260 = V224722. assign V721409 = V148186. assign V665246 = V995787 - 1. assign V987543 = V739148 + 1. assign V889895 = V066241.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V020685 = V327634 + 1. assign V247828 = V471214 - 1. assign V005251 = V214954 + 1. assign V060815 = V002046 + 1. assign V936532 = 3. assign V214954 = V490025. assign V710333 = V515943 + 1. assign V265517 = V526259 + 1. assign V774823 = V209370 + 1. assign V645823 = V152822 - 1. assign V539044 = V553790 - 1. assign V959670 = V949726 + 1. assign V471214 = V379565 - 1. assign V889927 = V379565 + 1. assign V747834 = V710333. assign V147986 = V441521 - 1. assign V514992 = V251785 - 1. assign V696986 = V607759 - 1. assign V320696 = V681591 + 1. assign V037762 = V590527 + 1. assign V539224 = V107737 + 1. assign V940835 = V962929 - 1. assign V388586 = V002046. assign V287049 = V199214 - 1. assign V187366 = V696986. assign V513339 = V254493 - 1. assign V449931 = V800963. assign V392637 = V441521. assign V625427 = V107118 + 1. assign V980908 = V546042 - 1. assign V661149 = V107737. assign V002046 = V225754. assign V010702 = V265517. assign V608748 = V515943. assign V455673 = V526259 - 1. assign V176637 = V018763 - 1. assign V434812 = V208999. assign V893474 = V141531 + 1. assign V296117 = V526259. assign V366557 = V251785 + 1. assign V707033 = V317904 - 1. assign V172577 = V285641 - 1. assign V526259 = V984794 - 1. assign V494597 = V052664 - 1. assign V599948 = V684273 + 1. assign V579351 = V392637 + 1. assign V199214 = V148186 + 1. assign V137192 = V768632 + 1. assign V018763 = V441521 + 1. assign V949726 = V471214. assign V497470 = V619001 - 1. assign V163687 = V066241. assign V141531 = V018763 + 1. assign V139036 = V020685 - 1. assign V526435 = V884938. assign V600167 = V141531 - 1. assign V684273 = V703288. assign V078389 = V889927 + 1. assign V147821 = V515943 + 1. assign V481872 = V719188. assign V439958 = V285641. assign V436734 = V141531. assign V097877 = V681177 + 1. assign V848759 = V888383. assign V182984 = V607759 + 1. assign V936415 = V600167. assign V993146 = V320696. assign V607759 = V251785 + 1. assign V037925 = V600167. assign V616220 = V608748 + 1. assign V948465 = V607759 + 1. assign V454006 = V037762 + 1. assign V681798 = V252649. assign V648318 = V364625 - 1. assign V431243 = V995787 + 1. assign V257743 = V134829. assign V739148 = V600167. assign V211299 = V619001 + 1. assign V317904 = V600167 - 1. assign V666435 = V515943. assign V107737 = V684273 - 1. assign V681591 = V884938 - 1. assign V337913 = V703288 - 1. assign V254493 = V893474 - 1. assign V771172 = V005251 - 1. assign V843623 = V037762. assign V280636 = V608748 - 1. assign V984794 = V141531. assign V379565 = V208999. assign V066241 = V441521 - 1. assign V052664 = V379565 + 1. assign V580696 = V600167. assign V590527 = V984794 - 1. assign V470582 = V224722 - 1. assign V502806 = V747834. assign V134829 = V815040. assign V235741 = V187366 - 1. assign V077447 = V696986. assign V621396 = V327634 - 1. assign V681177 = V280636 + 1. assign V919698 = V666435 + 1. assign V682023 = V739148. assign V224722 = V076255 + 1. assign V181054 = V074387 + 1. assign V274573 = V599948 + 1. assign V364625 = V209370 + 1. assign V107118 = V899172. assign V074387 = V224722 + 1. assign V310892 = V379565. assign V226029 = V019003 - 1. assign V654557 = V148186. assign V905321 = V936532 + 1. assign V515943 = V208999. assign V619001 = V666435 - 1. assign V957983 = V020685 + 1. assign V878787 = V719188. assign V539643 = V553790 + 1. assign V279239 = V020685 - 1. assign V888383 = V392637. assign V136998 = V666435 - 1. assign V251785 = V379565. assign V299257 = V580696 - 1. assign V148186 = V187366. assign V729664 = V526259 - 1. assign V327634 = V076255 - 1. assign V252649 = V005251. assign V209370 = V526259 - 1. assign V030333 = V471214 - 1. assign V076255 = V526259 - 1. assign V273534 = V187366 + 1. assign V899172 = V600167 - 1. assign V280867 = V984794. assign V072011 = V893474 + 1. assign V475391 = V214954. assign V152822 = V208999 + 1. assign V104624 = V265517 + 1. assign V267447 = V957983. assign V800963 = V608748 + 1. assign V309655 = V176637 - 1. assign V669637 = V703288 + 1. assign V649635 = V364625 + 1. assign V410488 = V513339 + 1. assign V145307 = V681177 + 1. assign V490025 = V018763 + 1. assign V441521 = V379565 - 1. assign V703288 = V526259 + 1. assign V774084 = V607759 - 1. assign V019003 = V066241 - 1. assign V725007 = V768632. assign V700403 = V681177 + 1. assign V831369 = V107118. assign V961759 = V919698. assign V962929 = V526435 + 1. assign V225754 = V919698 + 1. assign V285641 = V481872. assign V884474 = V187366 - 1. assign V995787 = V774823 + 1. assign V222659 = V254493 + 1. assign V719188 = V490025. assign V960697 = V310892. assign V884938 = V224722. assign V041852 = V187366 + 1. assign V546042 = V019003 + 1. assign V768632 = V254493. assign V553790 = V280636 - 1. assign V815040 = V993146 - 1. assign V311152 = V848759 - 1. assign V987260 = V224722. assign V721409 = V148186. assign V665246 = V995787 - 1. assign V987543 = V739148 + 1. assign V889895 = V066241.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV936532 = 3;\n\nFrom these direct assignment(s), we have: \nV905321 = V936532 + 1 = 3 + 1 =4;\nNo other variables can be derived from V905321;\nNo other variables can be derived from V936532;\n\nNow we have done all the calculations. Derived variables are:\nV936532 = 3;\nV905321 = 4;\n\nNow we have finished this problem. ANSWER:\nV936532\n", "role": "assistant" } ]

[ "V881130" ]

[ { "content": "<context>\nassign V305595 = V211961 - 1. assign V778982 = V769179 + 1. assign V598761 = V647075 + 1. assign V176928 = V109658 + 1. assign V086786 = V187701 - 1. assign V593525 = V598761 + 1. assign V675740 = V109658. assign V652451 = V191909. assign V738407 = V647979 + 1. assign V808355 = V733496 - 1. assign V160047 = V211961. assign V711113 = V647075 + 1. assign V041239 = V160047. assign V613458 = V454350 + 1. assign V396854 = V630173. assign V967835 = V129475 - 1. assign V412109 = V122673 + 1. assign V689243 = V630173 + 1. assign V829101 = V116763 - 1. assign V478231 = V677723 + 1. assign V302758 = V187701. assign V139583 = V407502 + 1. assign V777345 = V739848 + 1. assign V459509 = V790541 + 1. assign V971493 = V851346. assign V858547 = V344387 - 1. assign V962404 = V778982 + 1. assign V716158 = V625271. assign V471008 = V516993. assign V120320 = V528860 + 1. assign V229879 = V528860. assign V168238 = V625271 + 1. assign V175290 = V390368 - 1. assign V878315 = V048592. assign V715238 = V787968. assign V257484 = V983572. assign V241967 = V229879 + 1. assign V025861 = V062993 + 1. assign V034926 = V192054 - 1. assign V062816 = V689243 + 1. assign V954596 = V677723 + 1. assign V263274 = V192054. assign V841027 = V677723. assign V458649 = V809750. assign V483999 = V130023 - 1. assign V683568 = V250432 - 1. assign V647075 = V630173. assign V048592 = V036035 + 1. assign V379026 = V790755 - 1. assign V210399 = V869315 + 1. assign V404116 = V344387. assign V452635 = V527364. assign V062993 = V919588. assign V574658 = V598761 - 1. assign V583897 = V160047 - 1. assign V211961 = V787968. assign V739523 = V250432 + 1. assign V390368 = V707059 - 1. assign V630173 = V790755 - 1. assign V852249 = V930253 - 1. assign V696482 = V787968 - 1. assign V137682 = V478231 - 1. assign V133553 = V257484. assign V233591 = V878315. assign V809750 = V613458. assign V501219 = V499017 - 1. assign V343162 = V516993 + 1. assign V861500 = V041239 + 1. assign V496022 = V919588. assign V105958 = V930253. assign V429957 = V361173 - 1. assign V953069 = V429957 - 1. assign V197024 = V139583 + 1. assign V527364 = V404116 + 1. assign V564935 = V166185 - 1. assign V545315 = V696482 - 1. assign V344387 = V130023. assign V528860 = V947554. assign V677723 = V671657 - 1. assign V467139 = V250432 + 1. assign V191909 = V257484 + 1. assign V516993 = V211961. assign V851346 = V133553. assign V700128 = V787968. assign V023373 = V412109 + 1. assign V236584 = V930253. assign V077679 = V715238. assign V503996 = V501219 - 1. assign V250432 = V257484 - 1. assign V919588 = V715238 - 1. assign V166185 = V630173. assign V239150 = V919588 + 1. assign V129475 = V162851 - 1. assign V122673 = V496022 - 1. assign V881130 = 5. assign V330277 = V700128 - 1. assign V971070 = V867738. assign V921866 = V257484. assign V869315 = V168238 + 1. assign V963781 = V036035 + 1. assign V077818 = V168238 - 1. assign V500893 = V383029 - 1. assign V036035 = V790755 + 1. assign V256318 = V919588 + 1. assign V780281 = V767937 + 1. assign V088270 = V229879 + 1. assign V411247 = V168238 - 1. assign V162851 = V960904 - 1. assign V633095 = V700128. assign V127837 = V330277 + 1. assign V832398 = V192054. assign V439683 = V496022 + 1. assign V475930 = V048592 - 1. assign V383029 = V127837. assign V361173 = V192054 + 1. assign V109658 = V790755 - 1. assign V389043 = V256318. assign V767937 = V109658 - 1. assign V675395 = V528860. assign V192054 = V036035 + 1. assign V749205 = V127837 + 1. assign V930253 = V983572 - 1. assign V756735 = V302758. assign V817666 = V162851 - 1. assign V135875 = V133553. assign V292883 = V652451. assign V028238 = V707059. assign V947554 = V715238. assign V214222 = V780281 - 1. assign V983572 = V528860 - 1. assign V473879 = V116763 + 1. assign V625271 = V715238. assign V597990 = V790755 + 1. assign V486861 = V176928 + 1. assign V499017 = V187701 - 1. assign V867738 = V109658. assign V116763 = V109658 - 1. assign V733496 = V192054. assign V118249 = V127837. assign V590445 = V858547 - 1. assign V931595 = V503996. assign V909869 = V109658 + 1. assign V960904 = V625271 - 1. assign V130023 = V257484 + 1. assign V647979 = V867738 + 1. assign V753719 = V947554. assign V013156 = V496022 + 1. assign V187701 = V780281 + 1. assign V241624 = V881130 - 1. assign V769179 = V988695 - 1. assign V407502 = V122673 - 1. assign V922217 = V696482. assign V388489 = V127837 - 1. assign V454350 = V867738 + 1. assign V707059 = V716158 + 1. assign V790755 = V787968 + 1. assign V946608 = V630173. assign V599996 = V496022. assign V813669 = V716158 + 1. assign V190508 = V931595 - 1. assign V961269 = V780281. assign V490413 = V062993 + 1. assign V765682 = V878315 - 1. assign V378768 = V241967 - 1. assign V239553 = V062993 - 1. assign V988695 = V166185 + 1. assign V671657 = V753719 - 1. assign V887227 = V946608 - 1. assign V739848 = V867738. assign V790541 = V867738. assign V542924 = V852249 - 1. assign V456998 = V122673.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V305595 = V211961 - 1. assign V778982 = V769179 + 1. assign V598761 = V647075 + 1. assign V176928 = V109658 + 1. assign V086786 = V187701 - 1. assign V593525 = V598761 + 1. assign V675740 = V109658. assign V652451 = V191909. assign V738407 = V647979 + 1. assign V808355 = V733496 - 1. assign V160047 = V211961. assign V711113 = V647075 + 1. assign V041239 = V160047. assign V613458 = V454350 + 1. assign V396854 = V630173. assign V967835 = V129475 - 1. assign V412109 = V122673 + 1. assign V689243 = V630173 + 1. assign V829101 = V116763 - 1. assign V478231 = V677723 + 1. assign V302758 = V187701. assign V139583 = V407502 + 1. assign V777345 = V739848 + 1. assign V459509 = V790541 + 1. assign V971493 = V851346. assign V858547 = V344387 - 1. assign V962404 = V778982 + 1. assign V716158 = V625271. assign V471008 = V516993. assign V120320 = V528860 + 1. assign V229879 = V528860. assign V168238 = V625271 + 1. assign V175290 = V390368 - 1. assign V878315 = V048592. assign V715238 = V787968. assign V257484 = V983572. assign V241967 = V229879 + 1. assign V025861 = V062993 + 1. assign V034926 = V192054 - 1. assign V062816 = V689243 + 1. assign V954596 = V677723 + 1. assign V263274 = V192054. assign V841027 = V677723. assign V458649 = V809750. assign V483999 = V130023 - 1. assign V683568 = V250432 - 1. assign V647075 = V630173. assign V048592 = V036035 + 1. assign V379026 = V790755 - 1. assign V210399 = V869315 + 1. assign V404116 = V344387. assign V452635 = V527364. assign V062993 = V919588. assign V574658 = V598761 - 1. assign V583897 = V160047 - 1. assign V211961 = V787968. assign V739523 = V250432 + 1. assign V390368 = V707059 - 1. assign V630173 = V790755 - 1. assign V852249 = V930253 - 1. assign V696482 = V787968 - 1. assign V137682 = V478231 - 1. assign V133553 = V257484. assign V233591 = V878315. assign V809750 = V613458. assign V501219 = V499017 - 1. assign V343162 = V516993 + 1. assign V861500 = V041239 + 1. assign V496022 = V919588. assign V105958 = V930253. assign V429957 = V361173 - 1. assign V953069 = V429957 - 1. assign V197024 = V139583 + 1. assign V527364 = V404116 + 1. assign V564935 = V166185 - 1. assign V545315 = V696482 - 1. assign V344387 = V130023. assign V528860 = V947554. assign V677723 = V671657 - 1. assign V467139 = V250432 + 1. assign V191909 = V257484 + 1. assign V516993 = V211961. assign V851346 = V133553. assign V700128 = V787968. assign V023373 = V412109 + 1. assign V236584 = V930253. assign V077679 = V715238. assign V503996 = V501219 - 1. assign V250432 = V257484 - 1. assign V919588 = V715238 - 1. assign V166185 = V630173. assign V239150 = V919588 + 1. assign V129475 = V162851 - 1. assign V122673 = V496022 - 1. assign V881130 = 5. assign V330277 = V700128 - 1. assign V971070 = V867738. assign V921866 = V257484. assign V869315 = V168238 + 1. assign V963781 = V036035 + 1. assign V077818 = V168238 - 1. assign V500893 = V383029 - 1. assign V036035 = V790755 + 1. assign V256318 = V919588 + 1. assign V780281 = V767937 + 1. assign V088270 = V229879 + 1. assign V411247 = V168238 - 1. assign V162851 = V960904 - 1. assign V633095 = V700128. assign V127837 = V330277 + 1. assign V832398 = V192054. assign V439683 = V496022 + 1. assign V475930 = V048592 - 1. assign V383029 = V127837. assign V361173 = V192054 + 1. assign V109658 = V790755 - 1. assign V389043 = V256318. assign V767937 = V109658 - 1. assign V675395 = V528860. assign V192054 = V036035 + 1. assign V749205 = V127837 + 1. assign V930253 = V983572 - 1. assign V756735 = V302758. assign V817666 = V162851 - 1. assign V135875 = V133553. assign V292883 = V652451. assign V028238 = V707059. assign V947554 = V715238. assign V214222 = V780281 - 1. assign V983572 = V528860 - 1. assign V473879 = V116763 + 1. assign V625271 = V715238. assign V597990 = V790755 + 1. assign V486861 = V176928 + 1. assign V499017 = V187701 - 1. assign V867738 = V109658. assign V116763 = V109658 - 1. assign V733496 = V192054. assign V118249 = V127837. assign V590445 = V858547 - 1. assign V931595 = V503996. assign V909869 = V109658 + 1. assign V960904 = V625271 - 1. assign V130023 = V257484 + 1. assign V647979 = V867738 + 1. assign V753719 = V947554. assign V013156 = V496022 + 1. assign V187701 = V780281 + 1. assign V241624 = V881130 - 1. assign V769179 = V988695 - 1. assign V407502 = V122673 - 1. assign V922217 = V696482. assign V388489 = V127837 - 1. assign V454350 = V867738 + 1. assign V707059 = V716158 + 1. assign V790755 = V787968 + 1. assign V946608 = V630173. assign V599996 = V496022. assign V813669 = V716158 + 1. assign V190508 = V931595 - 1. assign V961269 = V780281. assign V490413 = V062993 + 1. assign V765682 = V878315 - 1. assign V378768 = V241967 - 1. assign V239553 = V062993 - 1. assign V988695 = V166185 + 1. assign V671657 = V753719 - 1. assign V887227 = V946608 - 1. assign V739848 = V867738. assign V790541 = V867738. assign V542924 = V852249 - 1. assign V456998 = V122673.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV881130 = 5;\n\nFrom these direct assignment(s), we have: \nV241624 = V881130 - 1 = 5 - 1 =4;\nNo other variables can be derived from V241624;\nNo other variables can be derived from V881130;\n\nNow we have done all the calculations. Derived variables are:\nV881130 = 5;\nV241624 = 4;\n\nNow we have finished this problem. ANSWER:\nV881130\n", "role": "assistant" } ]

[ "V199573" ]

[ { "content": "<context>\nassign V453816 = V332573 - 1. assign V578994 = V825859 - 1. assign V233768 = V805799. assign V795997 = V504016 + 1. assign V199573 = V725789 + 1. assign V819584 = V657817 + 1. assign V969124 = V824701 - 1. assign V559414 = V545442. assign V925397 = V677692 + 1. assign V392055 = V805799 + 1. assign V925143 = V225545 - 1. assign V127480 = V309211. assign V715611 = V194985 - 1. assign V640861 = V464065 + 1. assign V868448 = V566391 - 1. assign V743902 = V606586 - 1. assign V805799 = V024759 + 1. assign V377665 = V161060 - 1. assign V236030 = V599966 + 1. assign V962988 = V732973 - 1. assign V026477 = V579485 + 1. assign V332573 = V640861 + 1. assign V788080 = V957922 - 1. assign V646287 = V762320 + 1. assign V729741 = V677692. assign V475983 = V373096 - 1. assign V284916 = V640861 - 1. assign V614556 = V677692 + 1. assign V887632 = V545442 + 1. assign V224482 = V762320. assign V599563 = V464065 + 1. assign V119197 = V504016 + 1. assign V261671 = V376470 - 1. assign V785871 = V565395 + 1. assign V516871 = V026821 - 1. assign V799774 = V649927. assign V194985 = V881927 - 1. assign V981164 = V517651 - 1. assign V006977 = V366552 - 1. assign V384130 = V464065. assign V210348 = V681915 + 1. assign V586883 = V163933 + 1. assign V546844 = V634123 - 1. assign V833357 = V848047 + 1. assign V179732 = V785871. assign V600251 = V542856 - 1. assign V464065 = V545442. assign V161060 = V681915 + 1. assign V485251 = V384130. assign V104406 = V920824 - 1. assign V565395 = V225545 + 1. assign V759615 = V723380 - 1. assign V611884 = V565395 + 1. assign V961131 = V565395 + 1. assign V102636 = V938970. assign V299336 = V824701 + 1. assign V314016 = V848047 + 1. assign V962304 = V953083 + 1. assign V005066 = V485251. assign V617978 = V762320 - 1. assign V848047 = V681915 + 1. assign V599966 = V024759. assign V697007 = V824701 - 1. assign V024759 = V677692 - 1. assign V918088 = V925143 + 1. assign V662299 = V224482. assign V386564 = V332573 + 1. assign V055126 = V103648 - 1. assign V363626 = V392055 - 1. assign V693242 = V367677 - 1. assign V643956 = V545442 - 1. assign V023666 = V938970. assign V163933 = V773943. assign V504016 = V640861 - 1. assign V062316 = V309211 - 1. assign V517651 = V224482. assign V355648 = V251362 + 1. assign V814254 = V376470. assign V876934 = V857886 + 1. assign V399986 = V549726 + 1. assign V413490 = V006977. assign V517421 = V614556 + 1. assign V298418 = V606586 - 1. assign V103648 = V384130 - 1. assign V115437 = V918088 - 1. assign V535941 = V332573 + 1. assign V825474 = V662299 - 1. assign V592837 = V974376 + 1. assign V723700 = V918088 + 1. assign V366552 = V600251 - 1. assign V566391 = V701071 - 1. assign V606586 = V166833 + 1. assign V313846 = V517651 + 1. assign V419337 = V115437 - 1. assign V966241 = V026821 + 1. assign V677692 = V545442. assign V026821 = V309211 + 1. assign V319881 = V224482 - 1. assign V145861 = V210348 - 1. assign V723380 = V773943. assign V736268 = V453816 - 1. assign V384984 = V848047. assign V659228 = V545442 + 1. assign V681915 = V464065 + 1. assign V300083 = V952943 - 1. assign V018917 = V332573 + 1. assign V074915 = V134337 - 1. assign V134337 = V662299 + 1. assign V399882 = V319881 + 1. assign V998817 = V485251 - 1. assign V677896 = V161060 + 1. assign V376470 = V332573. assign V857886 = V681915 - 1. assign V957922 = V127104 - 1. assign V881927 = V662299. assign V626672 = V090004. assign V824701 = V833357 + 1. assign V701071 = V762320 + 1. assign V411211 = V535941 + 1. assign V920824 = V309211 + 1. assign V551780 = V090004 - 1. assign V542856 = V640861 - 1. assign V732973 = V966241 + 1. assign V735074 = V103648. assign V315497 = V881927 - 1. assign V503979 = V516871. assign V251362 = V614556 - 1. assign V713481 = V399986 - 1. assign V725789 = 4. assign V657817 = V677692 - 1. assign V032828 = V545442 - 1. assign V579485 = V355648 + 1. assign V090004 = V657817. assign V026858 = V998817 - 1. assign V225545 = V677692 + 1. assign V340558 = V355648 + 1. assign V952943 = V464065. assign V901430 = V376470 - 1. assign V066864 = V392055 - 1. assign V762320 = V545442 + 1. assign V362303 = V773943 - 1. assign V309398 = V732973. assign V634123 = V103648 - 1. assign V034294 = V857886. assign V938970 = V127480 - 1. assign V166833 = V251362 - 1. assign V367677 = V018917 + 1. assign V373096 = V251362 - 1. assign V138136 = V614556 + 1. assign V974376 = V824701 - 1. assign V127104 = V918088. assign V026325 = V657817 - 1. assign V177730 = V332573. assign V649927 = V461976 - 1. assign V953083 = V735074 + 1. assign V586428 = V773943 - 1. assign V773943 = V677692 + 1. assign V883900 = V833357 - 1. assign V244101 = V504016. assign V461976 = V662299 + 1. assign V674698 = V542856. assign V169995 = V824701 + 1. assign V563543 = V614556 - 1. assign V680774 = V957922 - 1. assign V825859 = V485251 + 1. assign V703891 = V762320 - 1. assign V831802 = V062316. assign V549726 = V640861 + 1. assign V168827 = V549726. assign V309211 = V565395 + 1. assign V907379 = V599966 - 1. assign V670630 = V138136.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V453816 = V332573 - 1. assign V578994 = V825859 - 1. assign V233768 = V805799. assign V795997 = V504016 + 1. assign V199573 = V725789 + 1. assign V819584 = V657817 + 1. assign V969124 = V824701 - 1. assign V559414 = V545442. assign V925397 = V677692 + 1. assign V392055 = V805799 + 1. assign V925143 = V225545 - 1. assign V127480 = V309211. assign V715611 = V194985 - 1. assign V640861 = V464065 + 1. assign V868448 = V566391 - 1. assign V743902 = V606586 - 1. assign V805799 = V024759 + 1. assign V377665 = V161060 - 1. assign V236030 = V599966 + 1. assign V962988 = V732973 - 1. assign V026477 = V579485 + 1. assign V332573 = V640861 + 1. assign V788080 = V957922 - 1. assign V646287 = V762320 + 1. assign V729741 = V677692. assign V475983 = V373096 - 1. assign V284916 = V640861 - 1. assign V614556 = V677692 + 1. assign V887632 = V545442 + 1. assign V224482 = V762320. assign V599563 = V464065 + 1. assign V119197 = V504016 + 1. assign V261671 = V376470 - 1. assign V785871 = V565395 + 1. assign V516871 = V026821 - 1. assign V799774 = V649927. assign V194985 = V881927 - 1. assign V981164 = V517651 - 1. assign V006977 = V366552 - 1. assign V384130 = V464065. assign V210348 = V681915 + 1. assign V586883 = V163933 + 1. assign V546844 = V634123 - 1. assign V833357 = V848047 + 1. assign V179732 = V785871. assign V600251 = V542856 - 1. assign V464065 = V545442. assign V161060 = V681915 + 1. assign V485251 = V384130. assign V104406 = V920824 - 1. assign V565395 = V225545 + 1. assign V759615 = V723380 - 1. assign V611884 = V565395 + 1. assign V961131 = V565395 + 1. assign V102636 = V938970. assign V299336 = V824701 + 1. assign V314016 = V848047 + 1. assign V962304 = V953083 + 1. assign V005066 = V485251. assign V617978 = V762320 - 1. assign V848047 = V681915 + 1. assign V599966 = V024759. assign V697007 = V824701 - 1. assign V024759 = V677692 - 1. assign V918088 = V925143 + 1. assign V662299 = V224482. assign V386564 = V332573 + 1. assign V055126 = V103648 - 1. assign V363626 = V392055 - 1. assign V693242 = V367677 - 1. assign V643956 = V545442 - 1. assign V023666 = V938970. assign V163933 = V773943. assign V504016 = V640861 - 1. assign V062316 = V309211 - 1. assign V517651 = V224482. assign V355648 = V251362 + 1. assign V814254 = V376470. assign V876934 = V857886 + 1. assign V399986 = V549726 + 1. assign V413490 = V006977. assign V517421 = V614556 + 1. assign V298418 = V606586 - 1. assign V103648 = V384130 - 1. assign V115437 = V918088 - 1. assign V535941 = V332573 + 1. assign V825474 = V662299 - 1. assign V592837 = V974376 + 1. assign V723700 = V918088 + 1. assign V366552 = V600251 - 1. assign V566391 = V701071 - 1. assign V606586 = V166833 + 1. assign V313846 = V517651 + 1. assign V419337 = V115437 - 1. assign V966241 = V026821 + 1. assign V677692 = V545442. assign V026821 = V309211 + 1. assign V319881 = V224482 - 1. assign V145861 = V210348 - 1. assign V723380 = V773943. assign V736268 = V453816 - 1. assign V384984 = V848047. assign V659228 = V545442 + 1. assign V681915 = V464065 + 1. assign V300083 = V952943 - 1. assign V018917 = V332573 + 1. assign V074915 = V134337 - 1. assign V134337 = V662299 + 1. assign V399882 = V319881 + 1. assign V998817 = V485251 - 1. assign V677896 = V161060 + 1. assign V376470 = V332573. assign V857886 = V681915 - 1. assign V957922 = V127104 - 1. assign V881927 = V662299. assign V626672 = V090004. assign V824701 = V833357 + 1. assign V701071 = V762320 + 1. assign V411211 = V535941 + 1. assign V920824 = V309211 + 1. assign V551780 = V090004 - 1. assign V542856 = V640861 - 1. assign V732973 = V966241 + 1. assign V735074 = V103648. assign V315497 = V881927 - 1. assign V503979 = V516871. assign V251362 = V614556 - 1. assign V713481 = V399986 - 1. assign V725789 = 4. assign V657817 = V677692 - 1. assign V032828 = V545442 - 1. assign V579485 = V355648 + 1. assign V090004 = V657817. assign V026858 = V998817 - 1. assign V225545 = V677692 + 1. assign V340558 = V355648 + 1. assign V952943 = V464065. assign V901430 = V376470 - 1. assign V066864 = V392055 - 1. assign V762320 = V545442 + 1. assign V362303 = V773943 - 1. assign V309398 = V732973. assign V634123 = V103648 - 1. assign V034294 = V857886. assign V938970 = V127480 - 1. assign V166833 = V251362 - 1. assign V367677 = V018917 + 1. assign V373096 = V251362 - 1. assign V138136 = V614556 + 1. assign V974376 = V824701 - 1. assign V127104 = V918088. assign V026325 = V657817 - 1. assign V177730 = V332573. assign V649927 = V461976 - 1. assign V953083 = V735074 + 1. assign V586428 = V773943 - 1. assign V773943 = V677692 + 1. assign V883900 = V833357 - 1. assign V244101 = V504016. assign V461976 = V662299 + 1. assign V674698 = V542856. assign V169995 = V824701 + 1. assign V563543 = V614556 - 1. assign V680774 = V957922 - 1. assign V825859 = V485251 + 1. assign V703891 = V762320 - 1. assign V831802 = V062316. assign V549726 = V640861 + 1. assign V168827 = V549726. assign V309211 = V565395 + 1. assign V907379 = V599966 - 1. assign V670630 = V138136.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV725789 = 4;\n\nFrom these direct assignment(s), we have: \nV199573 = V725789 + 1 = 4 + 1 =5;\nNo other variables can be derived from V199573;\nNo other variables can be derived from V725789;\n\nNow we have done all the calculations. Derived variables are:\nV725789 = 4;\nV199573 = 5;\n\nNow we have finished this problem. ANSWER:\nV199573\n", "role": "assistant" } ]

[ "V825033" ]

[ { "content": "<context>\nassign V115003 = V718677. assign V383130 = V775402. assign V700329 = V084755. assign V419570 = V348581 + 1. assign V580747 = V759710. assign V025931 = V699099 - 1. assign V932341 = V129396. assign V603798 = V184990 - 1. assign V042891 = V004125 - 1. assign V511194 = V363978 + 1. assign V678664 = V318184 + 1. assign V695551 = V467534 - 1. assign V718677 = V020565 + 1. assign V350918 = V759710 + 1. assign V858815 = V883810 - 1. assign V026024 = V310195. assign V814744 = V700256 - 1. assign V548390 = V304879 + 1. assign V984623 = V415759 - 1. assign V570401 = V700256 + 1. assign V700256 = V037154 - 1. assign V442054 = V759710 + 1. assign V004125 = V302019. assign V498476 = V128419 + 1. assign V305759 = 10. assign V474445 = V486694 + 1. assign V725545 = V363978 + 1. assign V706682 = V642532 + 1. assign V863987 = V292636 - 1. assign V662583 = V891471 + 1. assign V899059 = V941955 + 1. assign V101775 = V050380. assign V337872 = V272093. assign V812055 = V065757 + 1. assign V268019 = V858815 + 1. assign V204911 = V337527 + 1. assign V184990 = V236660. assign V728928 = V683095 - 1. assign V263853 = V662583. assign V380550 = V679830 - 1. assign V051028 = V625534 + 1. assign V666231 = V129396. assign V979407 = V338843. assign V128419 = V863987 + 1. assign V134988 = V779084. assign V918675 = V403742 + 1. assign V751316 = V662583 - 1. assign V144125 = V699099 + 1. assign V708026 = V792574 - 1. assign V616722 = V725545 + 1. assign V818655 = V337154 + 1. assign V625729 = V941955 + 1. assign V412017 = V020565 + 1. assign V486694 = V548535. assign V001826 = V808583. assign V415759 = V891532 - 1. assign V129396 = V779084 - 1. assign V302019 = V883810 + 1. assign V078279 = V417301 - 1. assign V815010 = V697754 - 1. assign V971758 = V616722 + 1. assign V338843 = V245007 + 1. assign V241455 = V625729 - 1. assign V038180 = V065757 + 1. assign V699099 = V718677 + 1. assign V310195 = V683095 - 1. assign V657703 = V422304. assign V808583 = V979407 + 1. assign V548535 = V050380 - 1. assign V625534 = V642532 + 1. assign V686375 = V899059 - 1. assign V721740 = V686375 - 1. assign V357809 = V662583 + 1. assign V084755 = V840091 - 1. assign V891532 = V662583 + 1. assign V143498 = V302019 + 1. assign V422304 = V891532. assign V952715 = V422304 + 1. assign V318184 = V050380 - 1. assign V273002 = V757883. assign V088354 = V050380. assign V348581 = V891471. assign V893881 = V065757 + 1. assign V959982 = V790483. assign V683095 = V115003 - 1. assign V586739 = V700329 - 1. assign V384402 = V422304 - 1. assign V619344 = V025931 + 1. assign V774842 = V253455 + 1. assign V687500 = V263853 + 1. assign V395262 = V026024. assign V403742 = V304879 - 1. assign V222094 = V941955. assign V659672 = V548535 - 1. assign V443564 = V415759 + 1. assign V704042 = V863987. assign V792574 = V984623 - 1. assign V133331 = V474445 + 1. assign V436882 = V415759 + 1. assign V752804 = V728928 - 1. assign V775402 = V858815 - 1. assign V255949 = V790483. assign V095934 = V310195 + 1. assign V783990 = V050380 + 1. assign V892583 = V543388 - 1. assign V292636 = V891471 - 1. assign V417301 = V790483 - 1. assign V552501 = V412017. assign V679830 = V337154. assign V779084 = V697754. assign V197964 = V625729. assign V326246 = V184990 - 1. assign V561176 = V363978 - 1. assign V152479 = V419570 + 1. assign V167624 = V224272 + 1. assign V065757 = V616722 + 1. assign V308070 = V687500 + 1. assign V543388 = V042891 + 1. assign V642532 = V891471. assign V790483 = V143498. assign V631568 = V775402 + 1. assign V454100 = V078279 + 1. assign V367426 = V114756 + 1. assign V825033 = V305759 - 1. assign V820751 = V561176 + 1. assign V697754 = V348581 + 1. assign V840091 = V751316 + 1. assign V272093 = V678664 - 1. assign V823407 = V337872 + 1. assign V224272 = V883810. assign V590263 = V263853. assign V284361 = V443564. assign V355702 = V659672. assign V617034 = V101775 - 1. assign V759710 = V662583 - 1. assign V245007 = V858815 - 1. assign V811974 = V200916 - 1. assign V285524 = V548535. assign V236660 = V759710. assign V458941 = V037154. assign V757883 = V037154 - 1. assign V557462 = V302019. assign V304879 = V296452 - 1. assign V251554 = V310195 - 1. assign V945376 = V728928. assign V481986 = V891532 + 1. assign V114756 = V038180 + 1. assign V417565 = V580747. assign V023437 = V775402. assign V941955 = V020565. assign V517754 = V783990 - 1. assign V399867 = V144125 + 1. assign V467534 = V251554. assign V883810 = V020565. assign V273024 = V318184 - 1. assign V253455 = V292636. assign V889564 = V236660. assign V425683 = V197964 + 1. assign V050380 = V337154. assign V798112 = V557462. assign V774736 = V625534 - 1. assign V874072 = V255949 + 1. assign V862476 = V273024 + 1. assign V200916 = V840091 + 1. assign V141251 = V603798. assign V772718 = V557462. assign V363978 = V292636. assign V337154 = V348581. assign V037154 = V883810. assign V296452 = V759710. assign V020565 = V891471. assign V337527 = V128419 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V115003 = V718677. assign V383130 = V775402. assign V700329 = V084755. assign V419570 = V348581 + 1. assign V580747 = V759710. assign V025931 = V699099 - 1. assign V932341 = V129396. assign V603798 = V184990 - 1. assign V042891 = V004125 - 1. assign V511194 = V363978 + 1. assign V678664 = V318184 + 1. assign V695551 = V467534 - 1. assign V718677 = V020565 + 1. assign V350918 = V759710 + 1. assign V858815 = V883810 - 1. assign V026024 = V310195. assign V814744 = V700256 - 1. assign V548390 = V304879 + 1. assign V984623 = V415759 - 1. assign V570401 = V700256 + 1. assign V700256 = V037154 - 1. assign V442054 = V759710 + 1. assign V004125 = V302019. assign V498476 = V128419 + 1. assign V305759 = 10. assign V474445 = V486694 + 1. assign V725545 = V363978 + 1. assign V706682 = V642532 + 1. assign V863987 = V292636 - 1. assign V662583 = V891471 + 1. assign V899059 = V941955 + 1. assign V101775 = V050380. assign V337872 = V272093. assign V812055 = V065757 + 1. assign V268019 = V858815 + 1. assign V204911 = V337527 + 1. assign V184990 = V236660. assign V728928 = V683095 - 1. assign V263853 = V662583. assign V380550 = V679830 - 1. assign V051028 = V625534 + 1. assign V666231 = V129396. assign V979407 = V338843. assign V128419 = V863987 + 1. assign V134988 = V779084. assign V918675 = V403742 + 1. assign V751316 = V662583 - 1. assign V144125 = V699099 + 1. assign V708026 = V792574 - 1. assign V616722 = V725545 + 1. assign V818655 = V337154 + 1. assign V625729 = V941955 + 1. assign V412017 = V020565 + 1. assign V486694 = V548535. assign V001826 = V808583. assign V415759 = V891532 - 1. assign V129396 = V779084 - 1. assign V302019 = V883810 + 1. assign V078279 = V417301 - 1. assign V815010 = V697754 - 1. assign V971758 = V616722 + 1. assign V338843 = V245007 + 1. assign V241455 = V625729 - 1. assign V038180 = V065757 + 1. assign V699099 = V718677 + 1. assign V310195 = V683095 - 1. assign V657703 = V422304. assign V808583 = V979407 + 1. assign V548535 = V050380 - 1. assign V625534 = V642532 + 1. assign V686375 = V899059 - 1. assign V721740 = V686375 - 1. assign V357809 = V662583 + 1. assign V084755 = V840091 - 1. assign V891532 = V662583 + 1. assign V143498 = V302019 + 1. assign V422304 = V891532. assign V952715 = V422304 + 1. assign V318184 = V050380 - 1. assign V273002 = V757883. assign V088354 = V050380. assign V348581 = V891471. assign V893881 = V065757 + 1. assign V959982 = V790483. assign V683095 = V115003 - 1. assign V586739 = V700329 - 1. assign V384402 = V422304 - 1. assign V619344 = V025931 + 1. assign V774842 = V253455 + 1. assign V687500 = V263853 + 1. assign V395262 = V026024. assign V403742 = V304879 - 1. assign V222094 = V941955. assign V659672 = V548535 - 1. assign V443564 = V415759 + 1. assign V704042 = V863987. assign V792574 = V984623 - 1. assign V133331 = V474445 + 1. assign V436882 = V415759 + 1. assign V752804 = V728928 - 1. assign V775402 = V858815 - 1. assign V255949 = V790483. assign V095934 = V310195 + 1. assign V783990 = V050380 + 1. assign V892583 = V543388 - 1. assign V292636 = V891471 - 1. assign V417301 = V790483 - 1. assign V552501 = V412017. assign V679830 = V337154. assign V779084 = V697754. assign V197964 = V625729. assign V326246 = V184990 - 1. assign V561176 = V363978 - 1. assign V152479 = V419570 + 1. assign V167624 = V224272 + 1. assign V065757 = V616722 + 1. assign V308070 = V687500 + 1. assign V543388 = V042891 + 1. assign V642532 = V891471. assign V790483 = V143498. assign V631568 = V775402 + 1. assign V454100 = V078279 + 1. assign V367426 = V114756 + 1. assign V825033 = V305759 - 1. assign V820751 = V561176 + 1. assign V697754 = V348581 + 1. assign V840091 = V751316 + 1. assign V272093 = V678664 - 1. assign V823407 = V337872 + 1. assign V224272 = V883810. assign V590263 = V263853. assign V284361 = V443564. assign V355702 = V659672. assign V617034 = V101775 - 1. assign V759710 = V662583 - 1. assign V245007 = V858815 - 1. assign V811974 = V200916 - 1. assign V285524 = V548535. assign V236660 = V759710. assign V458941 = V037154. assign V757883 = V037154 - 1. assign V557462 = V302019. assign V304879 = V296452 - 1. assign V251554 = V310195 - 1. assign V945376 = V728928. assign V481986 = V891532 + 1. assign V114756 = V038180 + 1. assign V417565 = V580747. assign V023437 = V775402. assign V941955 = V020565. assign V517754 = V783990 - 1. assign V399867 = V144125 + 1. assign V467534 = V251554. assign V883810 = V020565. assign V273024 = V318184 - 1. assign V253455 = V292636. assign V889564 = V236660. assign V425683 = V197964 + 1. assign V050380 = V337154. assign V798112 = V557462. assign V774736 = V625534 - 1. assign V874072 = V255949 + 1. assign V862476 = V273024 + 1. assign V200916 = V840091 + 1. assign V141251 = V603798. assign V772718 = V557462. assign V363978 = V292636. assign V337154 = V348581. assign V037154 = V883810. assign V296452 = V759710. assign V020565 = V891471. assign V337527 = V128419 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV305759 = 10;\n\nFrom these direct assignment(s), we have: \nV825033 = V305759 - 1 = 10 - 1 =9;\nNo other variables can be derived from V825033;\nNo other variables can be derived from V305759;\n\nNow we have done all the calculations. Derived variables are:\nV305759 = 10;\nV825033 = 9;\n\nNow we have finished this problem. ANSWER:\nV825033\n", "role": "assistant" } ]

[ "V558238", "V161642" ]

[ { "content": "<context>\nassign V458614 = V303896. assign V624864 = V387174 + 1. assign V968640 = V760119 + 1. assign V110163 = V731362 - 1. assign V424923 = V519554 - 1. assign V387174 = V450403 + 1. assign V840368 = V479449. assign V925897 = V806614 - 1. assign V309208 = V589341. assign V023079 = V819463 - 1. assign V086036 = V731362. assign V952714 = V519554 + 1. assign V335185 = V033886. assign V349096 = V749723 - 1. assign V356733 = V885587 - 1. assign V968992 = V111347 - 1. assign V157277 = V450403. assign V166162 = V399411 + 1. assign V561134 = V704071 + 1. assign V722758 = V451666. assign V125000 = V787650. assign V983200 = V480139. assign V971478 = V161253. assign V255763 = V084336 + 1. assign V870893 = V923021. assign V003316 = V144792. assign V865938 = V971478. assign V718799 = V276343 + 1. assign V662785 = V952714 - 1. assign V180715 = V399411. assign V736256 = V450403 + 1. assign V727442 = V104851. assign V283124 = V884137 + 1. assign V154163 = V399411 + 1. assign V104851 = V329442. assign V325721 = V181833 - 1. assign V431381 = V479449 - 1. assign V760119 = V029596. assign V596450 = V161253 - 1. assign V537832 = V479449 - 1. assign V485290 = V688228. assign V007275 = V865938 - 1. assign V916648 = V251115. assign V558238 = 4. assign V569004 = V084336 - 1. assign V746809 = V596450 + 1. assign V134571 = V998180 - 1. assign V212174 = V792941. assign V209973 = V181833 - 1. assign V532416 = V329442 - 1. assign V618460 = V431381. assign V092101 = V831105 + 1. assign V290191 = V089330 + 1. assign V770941 = V507479 + 1. assign V660077 = V889349 + 1. assign V046232 = V144792 - 1. assign V872803 = V631276. assign V577664 = V433214 + 1. assign V876552 = V036379. assign V265455 = V971478 - 1. assign V130061 = V806614. assign V704071 = V418430. assign V864670 = V212174. assign V624536 = V417110. assign V479449 = V420299 - 1. assign V199996 = V110163. assign V222575 = V704071. assign V451666 = V889349 - 1. assign V455353 = V029596 + 1. assign V584724 = V201734. assign V329442 = V731362. assign V036379 = V806614. assign V089330 = V115216. assign V731362 = V450403 - 1. assign V390731 = V329442. assign V345724 = V115216 + 1. assign V830220 = V450403 - 1. assign V013510 = V455353 + 1. assign V940205 = V222575 - 1. assign V332707 = V727442. assign V832305 = V349096. assign V551942 = V749723 - 1. assign V433214 = V349096. assign V217920 = V593921. assign V287754 = V172022. assign V650875 = V399411 + 1. assign V885587 = V561528 - 1. assign V589341 = V736256. assign V938641 = V889349. assign V418430 = V596450 - 1. assign V276343 = V596450 - 1. assign V631276 = V692644 + 1. assign V833874 = V806614 + 1. assign V692644 = V998180. assign V792941 = V420299 - 1. assign V201734 = V923021 - 1. assign V029596 = V971478 - 1. assign V161642 = V558238. assign V450403 = V889349. assign V084336 = V831105 + 1. assign V161764 = V775188 + 1. assign V370677 = V998180 + 1. assign V646194 = V033886 - 1. assign V728938 = V003316. assign V507479 = V154163 - 1. assign V593921 = V089330 + 1. assign V678478 = V442610. assign V480139 = V998180. assign V115216 = V831105 + 1. assign V250582 = V450403. assign V196617 = V840368. assign V829959 = V758533 + 1. assign V398323 = V760119 + 1. assign V825610 = V140811 - 1. assign V477074 = V212174 + 1. assign V181833 = V029596 - 1. assign V518536 = V104851 + 1. assign V749723 = V806614 - 1. assign V329202 = V507479 + 1. assign V821617 = V551942 - 1. assign V831105 = V889349 + 1. assign V788714 = V180715. assign V174406 = V821617 - 1. assign V998180 = V413779 + 1. assign V068847 = V722758 - 1. assign V694144 = V251115 + 1. assign V420299 = V418430 - 1. assign V310931 = V501185. assign V144792 = V172022 + 1. assign V884137 = V181833 + 1. assign V806614 = V971478 - 1. assign V972671 = V455353. assign V778592 = V104851. assign V255042 = V086036 + 1. assign V787650 = V788714 + 1. assign V561528 = V399411 + 1. assign V558727 = V036379 - 1. assign V223574 = V819463 + 1. assign V086916 = V551942 - 1. assign V417110 = V255763 + 1. assign V112257 = V537832 - 1. assign V831101 = V692644 - 1. assign V033886 = V161253 - 1. assign V165542 = V370677. assign V819463 = V158138 - 1. assign V442610 = V390731 + 1. assign V400589 = V731362. assign V519554 = V399411 + 1. assign V688228 = V722758. assign V111347 = V115216. assign V576050 = V889349 - 1. assign V111895 = V876552 + 1. assign V520298 = V157277 - 1. assign V698649 = V480139 + 1. assign V044162 = V749723. assign V923021 = V806614 - 1. assign V501185 = V442610. assign V195752 = V290191. assign V672876 = V399411 + 1. assign V061639 = V086036 - 1. assign V158138 = V519554 + 1. assign V413779 = V806614. assign V758533 = V165542 + 1. assign V140811 = V201734 + 1. assign V251115 = V864670 + 1. assign V172022 = V775188 + 1. assign V399411 = V161253 + 1. assign V327050 = V023079. assign V775188 = V589341 + 1. assign V988362 = V819463 - 1. assign V303896 = V819463 + 1. assign V889349 = V161253 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V458614 = V303896. assign V624864 = V387174 + 1. assign V968640 = V760119 + 1. assign V110163 = V731362 - 1. assign V424923 = V519554 - 1. assign V387174 = V450403 + 1. assign V840368 = V479449. assign V925897 = V806614 - 1. assign V309208 = V589341. assign V023079 = V819463 - 1. assign V086036 = V731362. assign V952714 = V519554 + 1. assign V335185 = V033886. assign V349096 = V749723 - 1. assign V356733 = V885587 - 1. assign V968992 = V111347 - 1. assign V157277 = V450403. assign V166162 = V399411 + 1. assign V561134 = V704071 + 1. assign V722758 = V451666. assign V125000 = V787650. assign V983200 = V480139. assign V971478 = V161253. assign V255763 = V084336 + 1. assign V870893 = V923021. assign V003316 = V144792. assign V865938 = V971478. assign V718799 = V276343 + 1. assign V662785 = V952714 - 1. assign V180715 = V399411. assign V736256 = V450403 + 1. assign V727442 = V104851. assign V283124 = V884137 + 1. assign V154163 = V399411 + 1. assign V104851 = V329442. assign V325721 = V181833 - 1. assign V431381 = V479449 - 1. assign V760119 = V029596. assign V596450 = V161253 - 1. assign V537832 = V479449 - 1. assign V485290 = V688228. assign V007275 = V865938 - 1. assign V916648 = V251115. assign V558238 = 4. assign V569004 = V084336 - 1. assign V746809 = V596450 + 1. assign V134571 = V998180 - 1. assign V212174 = V792941. assign V209973 = V181833 - 1. assign V532416 = V329442 - 1. assign V618460 = V431381. assign V092101 = V831105 + 1. assign V290191 = V089330 + 1. assign V770941 = V507479 + 1. assign V660077 = V889349 + 1. assign V046232 = V144792 - 1. assign V872803 = V631276. assign V577664 = V433214 + 1. assign V876552 = V036379. assign V265455 = V971478 - 1. assign V130061 = V806614. assign V704071 = V418430. assign V864670 = V212174. assign V624536 = V417110. assign V479449 = V420299 - 1. assign V199996 = V110163. assign V222575 = V704071. assign V451666 = V889349 - 1. assign V455353 = V029596 + 1. assign V584724 = V201734. assign V329442 = V731362. assign V036379 = V806614. assign V089330 = V115216. assign V731362 = V450403 - 1. assign V390731 = V329442. assign V345724 = V115216 + 1. assign V830220 = V450403 - 1. assign V013510 = V455353 + 1. assign V940205 = V222575 - 1. assign V332707 = V727442. assign V832305 = V349096. assign V551942 = V749723 - 1. assign V433214 = V349096. assign V217920 = V593921. assign V287754 = V172022. assign V650875 = V399411 + 1. assign V885587 = V561528 - 1. assign V589341 = V736256. assign V938641 = V889349. assign V418430 = V596450 - 1. assign V276343 = V596450 - 1. assign V631276 = V692644 + 1. assign V833874 = V806614 + 1. assign V692644 = V998180. assign V792941 = V420299 - 1. assign V201734 = V923021 - 1. assign V029596 = V971478 - 1. assign V161642 = V558238. assign V450403 = V889349. assign V084336 = V831105 + 1. assign V161764 = V775188 + 1. assign V370677 = V998180 + 1. assign V646194 = V033886 - 1. assign V728938 = V003316. assign V507479 = V154163 - 1. assign V593921 = V089330 + 1. assign V678478 = V442610. assign V480139 = V998180. assign V115216 = V831105 + 1. assign V250582 = V450403. assign V196617 = V840368. assign V829959 = V758533 + 1. assign V398323 = V760119 + 1. assign V825610 = V140811 - 1. assign V477074 = V212174 + 1. assign V181833 = V029596 - 1. assign V518536 = V104851 + 1. assign V749723 = V806614 - 1. assign V329202 = V507479 + 1. assign V821617 = V551942 - 1. assign V831105 = V889349 + 1. assign V788714 = V180715. assign V174406 = V821617 - 1. assign V998180 = V413779 + 1. assign V068847 = V722758 - 1. assign V694144 = V251115 + 1. assign V420299 = V418430 - 1. assign V310931 = V501185. assign V144792 = V172022 + 1. assign V884137 = V181833 + 1. assign V806614 = V971478 - 1. assign V972671 = V455353. assign V778592 = V104851. assign V255042 = V086036 + 1. assign V787650 = V788714 + 1. assign V561528 = V399411 + 1. assign V558727 = V036379 - 1. assign V223574 = V819463 + 1. assign V086916 = V551942 - 1. assign V417110 = V255763 + 1. assign V112257 = V537832 - 1. assign V831101 = V692644 - 1. assign V033886 = V161253 - 1. assign V165542 = V370677. assign V819463 = V158138 - 1. assign V442610 = V390731 + 1. assign V400589 = V731362. assign V519554 = V399411 + 1. assign V688228 = V722758. assign V111347 = V115216. assign V576050 = V889349 - 1. assign V111895 = V876552 + 1. assign V520298 = V157277 - 1. assign V698649 = V480139 + 1. assign V044162 = V749723. assign V923021 = V806614 - 1. assign V501185 = V442610. assign V195752 = V290191. assign V672876 = V399411 + 1. assign V061639 = V086036 - 1. assign V158138 = V519554 + 1. assign V413779 = V806614. assign V758533 = V165542 + 1. assign V140811 = V201734 + 1. assign V251115 = V864670 + 1. assign V172022 = V775188 + 1. assign V399411 = V161253 + 1. assign V327050 = V023079. assign V775188 = V589341 + 1. assign V988362 = V819463 - 1. assign V303896 = V819463 + 1. assign V889349 = V161253 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV558238 = 4;\n\nFrom these direct assignment(s), we have: \nV161642 = V558238 = 4;\nNo other variables can be derived from V161642;\nNo other variables can be derived from V558238;\n\nNow we have done all the calculations. Derived variables are:\nV558238 = 4;\nV161642 = 4;\n\nNow we have finished this problem. ANSWER:\nV558238, V161642\n", "role": "assistant" } ]

[ "V993965" ]

[ { "content": "<context>\nassign V102381 = V292893 - 1. assign V178409 = V379687 + 1. assign V641601 = V811536. assign V665957 = V424366 - 1. assign V245614 = V849341 - 1. assign V905017 = V178409 - 1. assign V877187 = V062461 - 1. assign V684058 = V232666. assign V668128 = V792746 - 1. assign V860815 = V232666 + 1. assign V513229 = V520928 - 1. assign V897549 = V860815 - 1. assign V842005 = V170460 + 1. assign V979204 = V308512. assign V645405 = V982941. assign V679935 = V245614 + 1. assign V907152 = V860815 - 1. assign V660220 = V881428 + 1. assign V886698 = V183045. assign V727467 = V218997 + 1. assign V225917 = V232666 - 1. assign V792746 = V232666 - 1. assign V290485 = V520899 + 1. assign V058397 = V811920. assign V831982 = V206790 + 1. assign V369174 = V684058. assign V188913 = V308512 + 1. assign V745906 = V232666. assign V721470 = V770302 + 1. assign V060202 = V570849 + 1. assign V151155 = V745906 - 1. assign V170460 = V024394 - 1. assign V520899 = V684058. assign V617169 = V979204. assign V737877 = V308512 + 1. assign V784507 = V103336 - 1. assign V232528 = V565171 - 1. assign V262521 = V219220. assign V007859 = V884799 - 1. assign V052100 = V225917. assign V880664 = V624016 + 1. assign V217613 = V927494 - 1. assign V844264 = V102381 + 1. assign V590699 = V102381 + 1. assign V006157 = V102381 - 1. assign V335224 = V588719. assign V570849 = V010193 + 1. assign V925760 = V136203 + 1. assign V770302 = V290485 - 1. assign V718570 = V136203 + 1. assign V811920 = V496491 + 1. assign V520636 = V394504 - 1. assign V982941 = V718570. assign V569815 = V136203 + 1. assign V308512 = V379687. assign V684928 = V539169 - 1. assign V223842 = V993965 + 1. assign V385626 = V834265 - 1. assign V883577 = V010491 + 1. assign V015138 = V520571. assign V630705 = V849341 + 1. assign V565171 = V427393 - 1. assign V621761 = V232666 + 1. assign V728049 = V979204 + 1. assign V303421 = V648697. assign V871955 = V849341. assign V143629 = V770302. assign V519924 = V737877 - 1. assign V610824 = V648697 + 1. assign V811536 = V277139 + 1. assign V969739 = V379687 + 1. assign V445151 = V569815. assign V424366 = V136203 - 1. assign V106955 = V811920. assign V136203 = V277139. assign V666420 = V245614 - 1. assign V024394 = V834265. assign V624016 = V292893. assign V539169 = V312697 + 1. assign V379687 = V232666. assign V920715 = V569164 + 1. assign V023146 = V849341 + 1. assign V909302 = V844264. assign V427393 = V965386. assign V800150 = V965386 + 1. assign V969717 = V811536 - 1. assign V103336 = V789000. assign V218328 = V745906. assign V460730 = V849341. assign V475919 = V150848 - 1. assign V381784 = V187334 - 1. assign V405617 = V665957. assign V292893 = V232666 - 1. assign V928837 = V183045 - 1. assign V648697 = V624016. assign V356274 = V225917 + 1. assign V319987 = V684058. assign V148492 = V486554 + 1. assign V505545 = V188913 - 1. assign V849341 = V379687 + 1. assign V997049 = V641601 + 1. assign V206790 = V834265. assign V993965 = 6. assign V312697 = V102381 + 1. assign V514273 = V102381. assign V965386 = V792746 - 1. assign V150848 = V624016 - 1. assign V099398 = V520928. assign V520571 = V925760 - 1. assign V312964 = V792746 + 1. assign V854881 = V982941. assign V067154 = V178409. assign V341013 = V038736 - 1. assign V696369 = V312964 + 1. assign V010193 = V979204 - 1. assign V815017 = V102381. assign V927494 = V569164. assign V048204 = V460730 - 1. assign V698541 = V188913 + 1. assign V476388 = V183045 - 1. assign V214439 = V308512 - 1. assign V665297 = V103336. assign V155131 = V460730 + 1. assign V038736 = V880664 + 1. assign V569164 = V308512. assign V394504 = V569815 - 1. assign V486554 = V379687 - 1. assign V669956 = V520928 + 1. assign V971720 = V148492. assign V187334 = V745906. assign V403961 = V539169 - 1. assign V340455 = V737877. assign V458352 = V218997. assign V756142 = V188913. assign V397309 = V023146 + 1. assign V554581 = V624016. assign V757227 = V356274 + 1. assign V884799 = V218328 - 1. assign V183045 = V792746 - 1. assign V657188 = V757227. assign V537704 = V588719 - 1. assign V588719 = V969717 + 1. assign V671178 = V178409 - 1. assign V516273 = V624016 + 1. assign V913994 = V789000 + 1. assign V322779 = V854881. assign V062461 = V385626. assign V187369 = V684058 - 1. assign V665081 = V385626 - 1. assign V168213 = V721470 + 1. assign V277139 = V792746 - 1. assign V138941 = V811920 + 1. assign V795040 = V737877 - 1. assign V124899 = V834265. assign V219220 = V102381. assign V496491 = V379687 - 1. assign V826320 = V669956. assign V957413 = V505545 + 1. assign V855434 = V800150. assign V218997 = V569815 + 1. assign V186947 = V183045. assign V789000 = V927494 + 1. assign V881428 = V979204. assign V922552 = V737877. assign V610784 = V669956. assign V520928 = V232666 - 1. assign V010491 = V262521. assign V647900 = V015138. assign V384016 = V143629. assign V834265 = V292893 - 1. assign V182062 = V322779. assign V405954 = V842005 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V102381 = V292893 - 1. assign V178409 = V379687 + 1. assign V641601 = V811536. assign V665957 = V424366 - 1. assign V245614 = V849341 - 1. assign V905017 = V178409 - 1. assign V877187 = V062461 - 1. assign V684058 = V232666. assign V668128 = V792746 - 1. assign V860815 = V232666 + 1. assign V513229 = V520928 - 1. assign V897549 = V860815 - 1. assign V842005 = V170460 + 1. assign V979204 = V308512. assign V645405 = V982941. assign V679935 = V245614 + 1. assign V907152 = V860815 - 1. assign V660220 = V881428 + 1. assign V886698 = V183045. assign V727467 = V218997 + 1. assign V225917 = V232666 - 1. assign V792746 = V232666 - 1. assign V290485 = V520899 + 1. assign V058397 = V811920. assign V831982 = V206790 + 1. assign V369174 = V684058. assign V188913 = V308512 + 1. assign V745906 = V232666. assign V721470 = V770302 + 1. assign V060202 = V570849 + 1. assign V151155 = V745906 - 1. assign V170460 = V024394 - 1. assign V520899 = V684058. assign V617169 = V979204. assign V737877 = V308512 + 1. assign V784507 = V103336 - 1. assign V232528 = V565171 - 1. assign V262521 = V219220. assign V007859 = V884799 - 1. assign V052100 = V225917. assign V880664 = V624016 + 1. assign V217613 = V927494 - 1. assign V844264 = V102381 + 1. assign V590699 = V102381 + 1. assign V006157 = V102381 - 1. assign V335224 = V588719. assign V570849 = V010193 + 1. assign V925760 = V136203 + 1. assign V770302 = V290485 - 1. assign V718570 = V136203 + 1. assign V811920 = V496491 + 1. assign V520636 = V394504 - 1. assign V982941 = V718570. assign V569815 = V136203 + 1. assign V308512 = V379687. assign V684928 = V539169 - 1. assign V223842 = V993965 + 1. assign V385626 = V834265 - 1. assign V883577 = V010491 + 1. assign V015138 = V520571. assign V630705 = V849341 + 1. assign V565171 = V427393 - 1. assign V621761 = V232666 + 1. assign V728049 = V979204 + 1. assign V303421 = V648697. assign V871955 = V849341. assign V143629 = V770302. assign V519924 = V737877 - 1. assign V610824 = V648697 + 1. assign V811536 = V277139 + 1. assign V969739 = V379687 + 1. assign V445151 = V569815. assign V424366 = V136203 - 1. assign V106955 = V811920. assign V136203 = V277139. assign V666420 = V245614 - 1. assign V024394 = V834265. assign V624016 = V292893. assign V539169 = V312697 + 1. assign V379687 = V232666. assign V920715 = V569164 + 1. assign V023146 = V849341 + 1. assign V909302 = V844264. assign V427393 = V965386. assign V800150 = V965386 + 1. assign V969717 = V811536 - 1. assign V103336 = V789000. assign V218328 = V745906. assign V460730 = V849341. assign V475919 = V150848 - 1. assign V381784 = V187334 - 1. assign V405617 = V665957. assign V292893 = V232666 - 1. assign V928837 = V183045 - 1. assign V648697 = V624016. assign V356274 = V225917 + 1. assign V319987 = V684058. assign V148492 = V486554 + 1. assign V505545 = V188913 - 1. assign V849341 = V379687 + 1. assign V997049 = V641601 + 1. assign V206790 = V834265. assign V993965 = 6. assign V312697 = V102381 + 1. assign V514273 = V102381. assign V965386 = V792746 - 1. assign V150848 = V624016 - 1. assign V099398 = V520928. assign V520571 = V925760 - 1. assign V312964 = V792746 + 1. assign V854881 = V982941. assign V067154 = V178409. assign V341013 = V038736 - 1. assign V696369 = V312964 + 1. assign V010193 = V979204 - 1. assign V815017 = V102381. assign V927494 = V569164. assign V048204 = V460730 - 1. assign V698541 = V188913 + 1. assign V476388 = V183045 - 1. assign V214439 = V308512 - 1. assign V665297 = V103336. assign V155131 = V460730 + 1. assign V038736 = V880664 + 1. assign V569164 = V308512. assign V394504 = V569815 - 1. assign V486554 = V379687 - 1. assign V669956 = V520928 + 1. assign V971720 = V148492. assign V187334 = V745906. assign V403961 = V539169 - 1. assign V340455 = V737877. assign V458352 = V218997. assign V756142 = V188913. assign V397309 = V023146 + 1. assign V554581 = V624016. assign V757227 = V356274 + 1. assign V884799 = V218328 - 1. assign V183045 = V792746 - 1. assign V657188 = V757227. assign V537704 = V588719 - 1. assign V588719 = V969717 + 1. assign V671178 = V178409 - 1. assign V516273 = V624016 + 1. assign V913994 = V789000 + 1. assign V322779 = V854881. assign V062461 = V385626. assign V187369 = V684058 - 1. assign V665081 = V385626 - 1. assign V168213 = V721470 + 1. assign V277139 = V792746 - 1. assign V138941 = V811920 + 1. assign V795040 = V737877 - 1. assign V124899 = V834265. assign V219220 = V102381. assign V496491 = V379687 - 1. assign V826320 = V669956. assign V957413 = V505545 + 1. assign V855434 = V800150. assign V218997 = V569815 + 1. assign V186947 = V183045. assign V789000 = V927494 + 1. assign V881428 = V979204. assign V922552 = V737877. assign V610784 = V669956. assign V520928 = V232666 - 1. assign V010491 = V262521. assign V647900 = V015138. assign V384016 = V143629. assign V834265 = V292893 - 1. assign V182062 = V322779. assign V405954 = V842005 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV993965 = 6;\n\nFrom these direct assignment(s), we have: \nV223842 = V993965 + 1 = 6 + 1 =7;\nNo other variables can be derived from V223842;\nNo other variables can be derived from V993965;\n\nNow we have done all the calculations. Derived variables are:\nV993965 = 6;\nV223842 = 7;\n\nNow we have finished this problem. ANSWER:\nV993965\n", "role": "assistant" } ]

[ "V731516" ]

[ { "content": "<context>\nassign V367210 = V551088 + 1. assign V334260 = V627824 - 1. assign V768697 = V540325. assign V725417 = V045661 + 1. assign V114632 = V652219 - 1. assign V384649 = V749340. assign V065480 = V326552 + 1. assign V680648 = V786595. assign V089222 = V065480. assign V751799 = V863794 - 1. assign V065643 = V287115. assign V321206 = V178394 + 1. assign V714178 = V240945 - 1. assign V159510 = V532848 - 1. assign V422081 = V097308 + 1. assign V802846 = V399024 - 1. assign V261416 = V724172 - 1. assign V434093 = V279846 + 1. assign V990018 = V712487. assign V178394 = V164350 - 1. assign V097308 = V420121 + 1. assign V076792 = V164350 + 1. assign V178684 = V842093. assign V246246 = V114632 + 1. assign V262552 = V220241 - 1. assign V451879 = V789562 + 1. assign V244686 = V731516 - 1. assign V731516 = 5. assign V704239 = V789562 - 1. assign V536445 = V240945. assign V871835 = V146203 + 1. assign V392703 = V580014 - 1. assign V672852 = V287115. assign V399024 = V326552 + 1. assign V900434 = V669136 - 1. assign V220930 = V929883 + 1. assign V017316 = V580014 + 1. assign V387554 = V240945. assign V552802 = V097308 - 1. assign V022471 = V540325 + 1. assign V580014 = V704239. assign V058251 = V131232 - 1. assign V615623 = V065480 + 1. assign V707108 = V962266 - 1. assign V879678 = V246246. assign V929883 = V669228 - 1. assign V735663 = V246246 - 1. assign V157943 = V887501 + 1. assign V548349 = V596753 - 1. assign V488823 = V022471. assign V394135 = V176312 - 1. assign V356160 = V704239 - 1. assign V000097 = V017316 + 1. assign V146203 = V669228 + 1. assign V713615 = V704239 + 1. assign V486430 = V089888 - 1. assign V290603 = V422081 + 1. assign V310362 = V533760 + 1. assign V540325 = V114632 + 1. assign V712487 = V724172. assign V326552 = V114632 + 1. assign V169381 = V399024 - 1. assign V164350 = V724172 - 1. assign V749340 = V242600. assign V131232 = V648515. assign V675884 = V540325. assign V179665 = V652219 - 1. assign V534998 = V157943 - 1. assign V101578 = V290603 + 1. assign V842906 = V246246 + 1. assign V383881 = V533760 + 1. assign V901487 = V712487 - 1. assign V420121 = V652219 - 1. assign V648515 = V065480 + 1. assign V783256 = V262981 + 1. assign V070783 = V420121 + 1. assign V669136 = V652219. assign V879437 = V704239. assign V962266 = V672852 + 1. assign V492925 = V962266 - 1. assign V820511 = V038787 - 1. assign V691500 = V802846 + 1. assign V237756 = V097308 + 1. assign V844234 = V399024 + 1. assign V209051 = V929883. assign V771062 = V651403 - 1. assign V643723 = V422081 - 1. assign V592688 = V380049 + 1. assign V520060 = V811125 - 1. assign V576413 = V065480 + 1. assign V293550 = V326552 - 1. assign V287541 = V652219. assign V180642 = V089222. assign V269755 = V543473 - 1. assign V287449 = V652219. assign V262981 = V422081. assign V376724 = V387554 - 1. assign V677636 = V552802 + 1. assign V596753 = V659076. assign V183004 = V326552 + 1. assign V578037 = V320557. assign V884139 = V038787 + 1. assign V279846 = V131232. assign V665076 = V399024 + 1. assign V176312 = V287449. assign V957628 = V017316 - 1. assign V220241 = V240945 - 1. assign V733422 = V879678. assign V242600 = V176312 + 1. assign V532848 = V243354. assign V714211 = V532035 - 1. assign V243354 = V038787 + 1. assign V514670 = V101983 + 1. assign V842093 = V387554. assign V184918 = V112544. assign V350826 = V246246. assign V789562 = V669136. assign V245570 = V659076 - 1. assign V627824 = V114632. assign V112544 = V287449. assign V045661 = V262981. assign V287115 = V536445. assign V087523 = V310362. assign V659076 = V326552 + 1. assign V214288 = V576413 + 1. assign V836748 = V243354 + 1. assign V651403 = V704239 - 1. assign V101983 = V649506 - 1. assign V297875 = V887501 - 1. assign V320557 = V038787 - 1. assign V380049 = V097308 - 1. assign V170717 = V420121 - 1. assign V619620 = V802846 - 1. assign V341380 = V262981. assign V996345 = V766617. assign V766617 = V420121. assign V226598 = V998267 + 1. assign V029786 = V089888. assign V551088 = V261416 - 1. assign V714487 = V146203 - 1. assign V386251 = V246246 - 1. assign V011452 = V184918 + 1. assign V122663 = V089222 + 1. assign V834020 = V990018. assign V767967 = V649506 - 1. assign V764398 = V879437. assign V089888 = V380049 - 1. assign V811125 = V789562 + 1. assign V828082 = V514670 + 1. assign V998267 = V320557. assign V444078 = V643723 + 1. assign V469886 = V733422 + 1. assign V284532 = V290603 - 1. assign V858985 = V996345 - 1. assign V411669 = V269755 - 1. assign V786595 = V649506 - 1. assign V724172 = V652219 + 1. assign V409079 = V863794. assign V863794 = V326552 - 1. assign V533760 = V176312 + 1. assign V669228 = V287449. assign V103120 = V076792 + 1. assign V369318 = V422081. assign V033292 = V262981 + 1. assign V532035 = V649506 - 1. assign V240945 = V669136 + 1. assign V887501 = V284532 + 1. assign V038787 = V649506. assign V195368 = V580014 + 1. assign V543473 = V580014 + 1. assign V474641 = V651403 + 1. assign V649506 = V326552 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V367210 = V551088 + 1. assign V334260 = V627824 - 1. assign V768697 = V540325. assign V725417 = V045661 + 1. assign V114632 = V652219 - 1. assign V384649 = V749340. assign V065480 = V326552 + 1. assign V680648 = V786595. assign V089222 = V065480. assign V751799 = V863794 - 1. assign V065643 = V287115. assign V321206 = V178394 + 1. assign V714178 = V240945 - 1. assign V159510 = V532848 - 1. assign V422081 = V097308 + 1. assign V802846 = V399024 - 1. assign V261416 = V724172 - 1. assign V434093 = V279846 + 1. assign V990018 = V712487. assign V178394 = V164350 - 1. assign V097308 = V420121 + 1. assign V076792 = V164350 + 1. assign V178684 = V842093. assign V246246 = V114632 + 1. assign V262552 = V220241 - 1. assign V451879 = V789562 + 1. assign V244686 = V731516 - 1. assign V731516 = 5. assign V704239 = V789562 - 1. assign V536445 = V240945. assign V871835 = V146203 + 1. assign V392703 = V580014 - 1. assign V672852 = V287115. assign V399024 = V326552 + 1. assign V900434 = V669136 - 1. assign V220930 = V929883 + 1. assign V017316 = V580014 + 1. assign V387554 = V240945. assign V552802 = V097308 - 1. assign V022471 = V540325 + 1. assign V580014 = V704239. assign V058251 = V131232 - 1. assign V615623 = V065480 + 1. assign V707108 = V962266 - 1. assign V879678 = V246246. assign V929883 = V669228 - 1. assign V735663 = V246246 - 1. assign V157943 = V887501 + 1. assign V548349 = V596753 - 1. assign V488823 = V022471. assign V394135 = V176312 - 1. assign V356160 = V704239 - 1. assign V000097 = V017316 + 1. assign V146203 = V669228 + 1. assign V713615 = V704239 + 1. assign V486430 = V089888 - 1. assign V290603 = V422081 + 1. assign V310362 = V533760 + 1. assign V540325 = V114632 + 1. assign V712487 = V724172. assign V326552 = V114632 + 1. assign V169381 = V399024 - 1. assign V164350 = V724172 - 1. assign V749340 = V242600. assign V131232 = V648515. assign V675884 = V540325. assign V179665 = V652219 - 1. assign V534998 = V157943 - 1. assign V101578 = V290603 + 1. assign V842906 = V246246 + 1. assign V383881 = V533760 + 1. assign V901487 = V712487 - 1. assign V420121 = V652219 - 1. assign V648515 = V065480 + 1. assign V783256 = V262981 + 1. assign V070783 = V420121 + 1. assign V669136 = V652219. assign V879437 = V704239. assign V962266 = V672852 + 1. assign V492925 = V962266 - 1. assign V820511 = V038787 - 1. assign V691500 = V802846 + 1. assign V237756 = V097308 + 1. assign V844234 = V399024 + 1. assign V209051 = V929883. assign V771062 = V651403 - 1. assign V643723 = V422081 - 1. assign V592688 = V380049 + 1. assign V520060 = V811125 - 1. assign V576413 = V065480 + 1. assign V293550 = V326552 - 1. assign V287541 = V652219. assign V180642 = V089222. assign V269755 = V543473 - 1. assign V287449 = V652219. assign V262981 = V422081. assign V376724 = V387554 - 1. assign V677636 = V552802 + 1. assign V596753 = V659076. assign V183004 = V326552 + 1. assign V578037 = V320557. assign V884139 = V038787 + 1. assign V279846 = V131232. assign V665076 = V399024 + 1. assign V176312 = V287449. assign V957628 = V017316 - 1. assign V220241 = V240945 - 1. assign V733422 = V879678. assign V242600 = V176312 + 1. assign V532848 = V243354. assign V714211 = V532035 - 1. assign V243354 = V038787 + 1. assign V514670 = V101983 + 1. assign V842093 = V387554. assign V184918 = V112544. assign V350826 = V246246. assign V789562 = V669136. assign V245570 = V659076 - 1. assign V627824 = V114632. assign V112544 = V287449. assign V045661 = V262981. assign V287115 = V536445. assign V087523 = V310362. assign V659076 = V326552 + 1. assign V214288 = V576413 + 1. assign V836748 = V243354 + 1. assign V651403 = V704239 - 1. assign V101983 = V649506 - 1. assign V297875 = V887501 - 1. assign V320557 = V038787 - 1. assign V380049 = V097308 - 1. assign V170717 = V420121 - 1. assign V619620 = V802846 - 1. assign V341380 = V262981. assign V996345 = V766617. assign V766617 = V420121. assign V226598 = V998267 + 1. assign V029786 = V089888. assign V551088 = V261416 - 1. assign V714487 = V146203 - 1. assign V386251 = V246246 - 1. assign V011452 = V184918 + 1. assign V122663 = V089222 + 1. assign V834020 = V990018. assign V767967 = V649506 - 1. assign V764398 = V879437. assign V089888 = V380049 - 1. assign V811125 = V789562 + 1. assign V828082 = V514670 + 1. assign V998267 = V320557. assign V444078 = V643723 + 1. assign V469886 = V733422 + 1. assign V284532 = V290603 - 1. assign V858985 = V996345 - 1. assign V411669 = V269755 - 1. assign V786595 = V649506 - 1. assign V724172 = V652219 + 1. assign V409079 = V863794. assign V863794 = V326552 - 1. assign V533760 = V176312 + 1. assign V669228 = V287449. assign V103120 = V076792 + 1. assign V369318 = V422081. assign V033292 = V262981 + 1. assign V532035 = V649506 - 1. assign V240945 = V669136 + 1. assign V887501 = V284532 + 1. assign V038787 = V649506. assign V195368 = V580014 + 1. assign V543473 = V580014 + 1. assign V474641 = V651403 + 1. assign V649506 = V326552 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV731516 = 5;\n\nFrom these direct assignment(s), we have: \nV244686 = V731516 - 1 = 5 - 1 =4;\nNo other variables can be derived from V244686;\nNo other variables can be derived from V731516;\n\nNow we have done all the calculations. Derived variables are:\nV731516 = 5;\nV244686 = 4;\n\nNow we have finished this problem. ANSWER:\nV731516\n", "role": "assistant" } ]

[ "V771899", "V993449" ]

[ { "content": "<context>\nassign V153841 = V885038 - 1. assign V893874 = V977087 + 1. assign V743413 = V112751 - 1. assign V375127 = V498285 - 1. assign V311805 = V464590 + 1. assign V616831 = V405499 - 1. assign V068611 = V895809 + 1. assign V383871 = V249345 + 1. assign V995072 = V376567. assign V872847 = V058425. assign V350708 = V951260 + 1. assign V706180 = V072372. assign V359069 = V874829 - 1. assign V031490 = V460008 - 1. assign V947546 = V405499 + 1. assign V143641 = V141768 - 1. assign V412730 = V269961. assign V880824 = V279400. assign V502432 = V279400. assign V766852 = V874829 - 1. assign V460008 = V466031. assign V628842 = V394212. assign V993449 = V771899. assign V734425 = V338402 - 1. assign V139367 = V623394 - 1. assign V112751 = V334626. assign V027258 = V350708. assign V292743 = V870941 - 1. assign V334626 = V690913. assign V543470 = V375127. assign V980945 = V350708 - 1. assign V165734 = V338402 + 1. assign V517061 = V961912. assign V211403 = V980945 + 1. assign V593657 = V307749 + 1. assign V270786 = V227554 - 1. assign V530615 = V951260. assign V448925 = V690913. assign V933445 = V359069. assign V644564 = V583398 + 1. assign V162645 = V031490. assign V812369 = V714609 + 1. assign V956648 = V905160 - 1. assign V480269 = V746002. assign V394212 = V498285 - 1. assign V279400 = V905160 + 1. assign V008036 = V933445. assign V116308 = V307749 - 1. assign V714609 = V865154 - 1. assign V012637 = V395209 + 1. assign V651305 = V763509 - 1. assign V812612 = V350708 - 1. assign V629573 = V947593 + 1. assign V326522 = V376567 + 1. assign V767034 = V629573 - 1. assign V865154 = V988582. assign V173471 = V883327 + 1. assign V228205 = V905160. assign V831129 = V905160 - 1. assign V943744 = V243987 + 1. assign V690913 = V394212. assign V961912 = V783522 - 1. assign V069156 = V880824. assign V863994 = V587228 - 1. assign V308386 = V628842 + 1. assign V072372 = V375127. assign V505835 = V956648 + 1. assign V771899 = 7. assign V517431 = V554810. assign V466031 = V405499 + 1. assign V213271 = V628842. assign V587228 = V269961 + 1. assign V848141 = V543470. assign V103428 = V865154. assign V376567 = V359069 + 1. assign V738197 = V766852 - 1. assign V458721 = V448925 - 1. assign V432265 = V367472. assign V963577 = V165734 - 1. assign V361413 = V943744 - 1. assign V874829 = V956648 + 1. assign V338402 = V848141 - 1. assign V058425 = V895809 - 1. assign V205413 = V881073 - 1. assign V870941 = V988582 + 1. assign V107785 = V498285 + 1. assign V464590 = V243987 + 1. assign V481896 = V874829. assign V391893 = V405499 + 1. assign V746002 = V375127 + 1. assign V086007 = V556399 - 1. assign V054367 = V010560 + 1. assign V556399 = V616831. assign V456214 = V943744. assign V859403 = V481896. assign V800045 = V359069 + 1. assign V527671 = V460008. assign V420760 = V880824. assign V905160 = V498285. assign V185000 = V376567 - 1. assign V623394 = V870941. assign V855974 = V151714 + 1. assign V909505 = V720960. assign V613434 = V384080 + 1. assign V017286 = V499649 - 1. assign V583398 = V800045 - 1. assign V883327 = V956805 - 1. assign V512929 = V783522. assign V286086 = V783522 + 1. assign V249345 = V977087 + 1. assign V499649 = V458721 - 1. assign V269961 = V746002 + 1. assign V895809 = V905160 - 1. assign V038092 = V468871. assign V720960 = V714609 - 1. assign V554810 = V988582. assign V141768 = V744559 - 1. assign V951260 = V865154 + 1. assign V847682 = V394212 + 1. assign V752997 = V651305 - 1. assign V258389 = V988582 - 1. assign V992447 = V367472 - 1. assign V010556 = V456214. assign V772400 = V499649. assign V405499 = V895809 - 1. assign V243987 = V746002. assign V227554 = V151714 + 1. assign V010560 = V307749 + 1. assign V121290 = V720960 + 1. assign V991463 = V956805 - 1. assign V488020 = V720960 + 1. assign V763509 = V395209. assign V695027 = V269961 + 1. assign V908296 = V763509. assign V885038 = V628805. assign V783522 = V107785. assign V151714 = V943744 - 1. assign V785172 = V908296. assign V855679 = V720960 + 1. assign V988582 = V690913. assign V395634 = V350708. assign V384080 = V498285. assign V744559 = V905160. assign V881709 = V524452 + 1. assign V293083 = V847682. assign V462360 = V895809. assign V468871 = V480269 + 1. assign V102418 = V616831 + 1. assign V524452 = V292743. assign V549371 = V512929 - 1. assign V956805 = V744559 + 1. assign V395209 = V460008. assign V279912 = V933445 + 1. assign V824600 = V943744 - 1. assign V139666 = V008036 - 1. assign V245573 = V102418 + 1. assign V336792 = V448925 + 1. assign V307749 = V394212. assign V628805 = V432265 + 1. assign V864793 = V855679 + 1. assign V862726 = V961912. assign V159946 = V763509 - 1. assign V676454 = V502432 + 1. assign V881073 = V690913. assign V367472 = V394212. assign V470446 = V744559. assign V499105 = V284564 - 1. assign V977087 = V865154. assign V574632 = V988582 + 1. assign V284564 = V334626 + 1. assign V947593 = V470446 + 1. assign V681647 = V141768.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V153841 = V885038 - 1. assign V893874 = V977087 + 1. assign V743413 = V112751 - 1. assign V375127 = V498285 - 1. assign V311805 = V464590 + 1. assign V616831 = V405499 - 1. assign V068611 = V895809 + 1. assign V383871 = V249345 + 1. assign V995072 = V376567. assign V872847 = V058425. assign V350708 = V951260 + 1. assign V706180 = V072372. assign V359069 = V874829 - 1. assign V031490 = V460008 - 1. assign V947546 = V405499 + 1. assign V143641 = V141768 - 1. assign V412730 = V269961. assign V880824 = V279400. assign V502432 = V279400. assign V766852 = V874829 - 1. assign V460008 = V466031. assign V628842 = V394212. assign V993449 = V771899. assign V734425 = V338402 - 1. assign V139367 = V623394 - 1. assign V112751 = V334626. assign V027258 = V350708. assign V292743 = V870941 - 1. assign V334626 = V690913. assign V543470 = V375127. assign V980945 = V350708 - 1. assign V165734 = V338402 + 1. assign V517061 = V961912. assign V211403 = V980945 + 1. assign V593657 = V307749 + 1. assign V270786 = V227554 - 1. assign V530615 = V951260. assign V448925 = V690913. assign V933445 = V359069. assign V644564 = V583398 + 1. assign V162645 = V031490. assign V812369 = V714609 + 1. assign V956648 = V905160 - 1. assign V480269 = V746002. assign V394212 = V498285 - 1. assign V279400 = V905160 + 1. assign V008036 = V933445. assign V116308 = V307749 - 1. assign V714609 = V865154 - 1. assign V012637 = V395209 + 1. assign V651305 = V763509 - 1. assign V812612 = V350708 - 1. assign V629573 = V947593 + 1. assign V326522 = V376567 + 1. assign V767034 = V629573 - 1. assign V865154 = V988582. assign V173471 = V883327 + 1. assign V228205 = V905160. assign V831129 = V905160 - 1. assign V943744 = V243987 + 1. assign V690913 = V394212. assign V961912 = V783522 - 1. assign V069156 = V880824. assign V863994 = V587228 - 1. assign V308386 = V628842 + 1. assign V072372 = V375127. assign V505835 = V956648 + 1. assign V771899 = 7. assign V517431 = V554810. assign V466031 = V405499 + 1. assign V213271 = V628842. assign V587228 = V269961 + 1. assign V848141 = V543470. assign V103428 = V865154. assign V376567 = V359069 + 1. assign V738197 = V766852 - 1. assign V458721 = V448925 - 1. assign V432265 = V367472. assign V963577 = V165734 - 1. assign V361413 = V943744 - 1. assign V874829 = V956648 + 1. assign V338402 = V848141 - 1. assign V058425 = V895809 - 1. assign V205413 = V881073 - 1. assign V870941 = V988582 + 1. assign V107785 = V498285 + 1. assign V464590 = V243987 + 1. assign V481896 = V874829. assign V391893 = V405499 + 1. assign V746002 = V375127 + 1. assign V086007 = V556399 - 1. assign V054367 = V010560 + 1. assign V556399 = V616831. assign V456214 = V943744. assign V859403 = V481896. assign V800045 = V359069 + 1. assign V527671 = V460008. assign V420760 = V880824. assign V905160 = V498285. assign V185000 = V376567 - 1. assign V623394 = V870941. assign V855974 = V151714 + 1. assign V909505 = V720960. assign V613434 = V384080 + 1. assign V017286 = V499649 - 1. assign V583398 = V800045 - 1. assign V883327 = V956805 - 1. assign V512929 = V783522. assign V286086 = V783522 + 1. assign V249345 = V977087 + 1. assign V499649 = V458721 - 1. assign V269961 = V746002 + 1. assign V895809 = V905160 - 1. assign V038092 = V468871. assign V720960 = V714609 - 1. assign V554810 = V988582. assign V141768 = V744559 - 1. assign V951260 = V865154 + 1. assign V847682 = V394212 + 1. assign V752997 = V651305 - 1. assign V258389 = V988582 - 1. assign V992447 = V367472 - 1. assign V010556 = V456214. assign V772400 = V499649. assign V405499 = V895809 - 1. assign V243987 = V746002. assign V227554 = V151714 + 1. assign V010560 = V307749 + 1. assign V121290 = V720960 + 1. assign V991463 = V956805 - 1. assign V488020 = V720960 + 1. assign V763509 = V395209. assign V695027 = V269961 + 1. assign V908296 = V763509. assign V885038 = V628805. assign V783522 = V107785. assign V151714 = V943744 - 1. assign V785172 = V908296. assign V855679 = V720960 + 1. assign V988582 = V690913. assign V395634 = V350708. assign V384080 = V498285. assign V744559 = V905160. assign V881709 = V524452 + 1. assign V293083 = V847682. assign V462360 = V895809. assign V468871 = V480269 + 1. assign V102418 = V616831 + 1. assign V524452 = V292743. assign V549371 = V512929 - 1. assign V956805 = V744559 + 1. assign V395209 = V460008. assign V279912 = V933445 + 1. assign V824600 = V943744 - 1. assign V139666 = V008036 - 1. assign V245573 = V102418 + 1. assign V336792 = V448925 + 1. assign V307749 = V394212. assign V628805 = V432265 + 1. assign V864793 = V855679 + 1. assign V862726 = V961912. assign V159946 = V763509 - 1. assign V676454 = V502432 + 1. assign V881073 = V690913. assign V367472 = V394212. assign V470446 = V744559. assign V499105 = V284564 - 1. assign V977087 = V865154. assign V574632 = V988582 + 1. assign V284564 = V334626 + 1. assign V947593 = V470446 + 1. assign V681647 = V141768.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV771899 = 7;\n\nFrom these direct assignment(s), we have: \nV993449 = V771899 = 7;\nNo other variables can be derived from V993449;\nNo other variables can be derived from V771899;\n\nNow we have done all the calculations. Derived variables are:\nV771899 = 7;\nV993449 = 7;\n\nNow we have finished this problem. ANSWER:\nV771899, V993449\n", "role": "assistant" } ]

[ "V769352" ]

[ { "content": "<context>\nassign V648964 = V800299 - 1. assign V977270 = V598270 + 1. assign V802338 = V099308 - 1. assign V889878 = V356057 + 1. assign V420851 = V174533 - 1. assign V216336 = V683757. assign V960966 = V800299 - 1. assign V852797 = V174533 + 1. assign V184520 = V054440 + 1. assign V163470 = V129330 - 1. assign V816856 = V146915 + 1. assign V436616 = V777772 + 1. assign V201523 = V184520. assign V743004 = V358089 + 1. assign V412787 = V413186 - 1. assign V032728 = V137898 + 1. assign V096399 = V802338. assign V970474 = V054440 - 1. assign V924483 = V216336. assign V182987 = V683757. assign V800299 = V777772. assign V686501 = V284235 - 1. assign V870258 = V855767 - 1. assign V913957 = V045121. assign V777772 = V174533 - 1. assign V016240 = V816856. assign V776579 = V463235 + 1. assign V534997 = V793698. assign V364310 = V776579 + 1. assign V112350 = V174533 - 1. assign V985457 = V800299 + 1. assign V005838 = V184520. assign V444935 = V862409 - 1. assign V284235 = V436616. assign V459940 = V933776 - 1. assign V105091 = V924483. assign V726011 = V870258. assign V129330 = V620345 + 1. assign V443433 = V933776. assign V130997 = V898881 + 1. assign V773747 = V435756 + 1. assign V389045 = V776579 + 1. assign V741601 = V129330 + 1. assign V041843 = V614902. assign V735228 = V852797 + 1. assign V610571 = V592562. assign V054440 = V777772 + 1. assign V027335 = V284235 - 1. assign V933776 = V855767 + 1. assign V024209 = V076787. assign V114005 = V346891 + 1. assign V843070 = V137898. assign V793698 = V898244 + 1. assign V198801 = 0. assign V804974 = V314344 - 1. assign V975363 = V420851. assign V620345 = V016240 - 1. assign V566701 = V620345 + 1. assign V983945 = V924483. assign V099308 = V963795 - 1. assign V016406 = V312947. assign V463235 = V314344. assign V598270 = V773747 - 1. assign V030557 = V099308. assign V472335 = V444935 - 1. assign V937350 = V793698 - 1. assign V358089 = V216336 + 1. assign V346891 = V800299. assign V963795 = V970474 + 1. assign V350621 = V163470 - 1. assign V362084 = V356057 + 1. assign V748471 = V963795 + 1. assign V638335 = V898244. assign V382822 = V764964. assign V716767 = V413186. assign V964805 = V314344 - 1. assign V731960 = V435756 + 1. assign V614902 = V054440 - 1. assign V683757 = V898881. assign V082546 = V129330 + 1. assign V264556 = V488619 + 1. assign V487713 = V777772. assign V933862 = V027335. assign V824260 = V346891. assign V117497 = V928465 - 1. assign V065657 = V362196 + 1. assign V898244 = V463235 + 1. assign V592562 = V736883. assign V867837 = V350621 - 1. assign V672109 = V843070 - 1. assign V723409 = V514135 - 1. assign V187015 = V898881. assign V187915 = V173537. assign V733613 = V793698. assign V435756 = V840877 - 1. assign V510215 = V273727 + 1. assign V661167 = V741601 + 1. assign V610152 = V672109 - 1. assign V928465 = V638335. assign V627472 = V146325 - 1. assign V863418 = V137898 + 1. assign V884127 = V843070. assign V640077 = V776579 + 1. assign V356057 = V413186. assign V759887 = V804974 + 1. assign V146325 = V413186 - 1. assign V539294 = V146915 - 1. assign V052300 = V776579 + 1. assign V167700 = V534997 + 1. assign V209101 = V800299. assign V888877 = V638335 + 1. assign V155789 = V855767 + 1. assign V775345 = V314344 - 1. assign V173537 = V463235 + 1. assign V521404 = V216336. assign V991041 = V804974 - 1. assign V190568 = V041843. assign V225678 = V065657 - 1. assign V769352 = V198801 - 1. assign V690959 = V209101 + 1. assign V855767 = V174533 + 1. assign V840877 = V284235 - 1. assign V127794 = V167091 + 1. assign V426671 = V488619 + 1. assign V764790 = V777772. assign V045121 = V041843. assign V361150 = V960966 + 1. assign V054696 = V459940 + 1. assign V201015 = V030557. assign V314344 = V764790 + 1. assign V312947 = V648964 - 1. assign V911086 = V870258 - 1. assign V273727 = V855767 + 1. assign V655132 = V151829 - 1. assign V994038 = V627472. assign V146915 = V346891 + 1. assign V736883 = V793698 + 1. assign V678401 = V924483 + 1. assign V395851 = V776579. assign V076787 = V225678. assign V488619 = V870258 + 1. assign V125860 = V985457. assign V033629 = V362196 + 1. assign V269177 = V534997 - 1. assign V923472 = V686501 - 1. assign V275808 = V112350 - 1. assign V052010 = V748471. assign V079714 = V994038 + 1. assign V514135 = V016240 - 1. assign V943700 = V284235. assign V442215 = V463235. assign V320442 = V683757 - 1. assign V795369 = V852797. assign V275938 = V855767. assign V100396 = V521404 + 1. assign V898881 = V690959. assign V873832 = V314344. assign V349587 = V209101 - 1. assign V362196 = V137898 + 1. assign V413186 = V648964 - 1. assign V058572 = V873832. assign V764964 = V163470 - 1. assign V927931 = V065657 - 1. assign V762728 = V412787. assign V137898 = V314344 - 1. assign V162778 = V776579 + 1. assign V323722 = V759887. assign V159315 = V610152 - 1. assign V588449 = V065657. assign V167091 = V985457 - 1. assign V862409 = V346891 - 1. assign V151829 = V648964 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V648964 = V800299 - 1. assign V977270 = V598270 + 1. assign V802338 = V099308 - 1. assign V889878 = V356057 + 1. assign V420851 = V174533 - 1. assign V216336 = V683757. assign V960966 = V800299 - 1. assign V852797 = V174533 + 1. assign V184520 = V054440 + 1. assign V163470 = V129330 - 1. assign V816856 = V146915 + 1. assign V436616 = V777772 + 1. assign V201523 = V184520. assign V743004 = V358089 + 1. assign V412787 = V413186 - 1. assign V032728 = V137898 + 1. assign V096399 = V802338. assign V970474 = V054440 - 1. assign V924483 = V216336. assign V182987 = V683757. assign V800299 = V777772. assign V686501 = V284235 - 1. assign V870258 = V855767 - 1. assign V913957 = V045121. assign V777772 = V174533 - 1. assign V016240 = V816856. assign V776579 = V463235 + 1. assign V534997 = V793698. assign V364310 = V776579 + 1. assign V112350 = V174533 - 1. assign V985457 = V800299 + 1. assign V005838 = V184520. assign V444935 = V862409 - 1. assign V284235 = V436616. assign V459940 = V933776 - 1. assign V105091 = V924483. assign V726011 = V870258. assign V129330 = V620345 + 1. assign V443433 = V933776. assign V130997 = V898881 + 1. assign V773747 = V435756 + 1. assign V389045 = V776579 + 1. assign V741601 = V129330 + 1. assign V041843 = V614902. assign V735228 = V852797 + 1. assign V610571 = V592562. assign V054440 = V777772 + 1. assign V027335 = V284235 - 1. assign V933776 = V855767 + 1. assign V024209 = V076787. assign V114005 = V346891 + 1. assign V843070 = V137898. assign V793698 = V898244 + 1. assign V198801 = 0. assign V804974 = V314344 - 1. assign V975363 = V420851. assign V620345 = V016240 - 1. assign V566701 = V620345 + 1. assign V983945 = V924483. assign V099308 = V963795 - 1. assign V016406 = V312947. assign V463235 = V314344. assign V598270 = V773747 - 1. assign V030557 = V099308. assign V472335 = V444935 - 1. assign V937350 = V793698 - 1. assign V358089 = V216336 + 1. assign V346891 = V800299. assign V963795 = V970474 + 1. assign V350621 = V163470 - 1. assign V362084 = V356057 + 1. assign V748471 = V963795 + 1. assign V638335 = V898244. assign V382822 = V764964. assign V716767 = V413186. assign V964805 = V314344 - 1. assign V731960 = V435756 + 1. assign V614902 = V054440 - 1. assign V683757 = V898881. assign V082546 = V129330 + 1. assign V264556 = V488619 + 1. assign V487713 = V777772. assign V933862 = V027335. assign V824260 = V346891. assign V117497 = V928465 - 1. assign V065657 = V362196 + 1. assign V898244 = V463235 + 1. assign V592562 = V736883. assign V867837 = V350621 - 1. assign V672109 = V843070 - 1. assign V723409 = V514135 - 1. assign V187015 = V898881. assign V187915 = V173537. assign V733613 = V793698. assign V435756 = V840877 - 1. assign V510215 = V273727 + 1. assign V661167 = V741601 + 1. assign V610152 = V672109 - 1. assign V928465 = V638335. assign V627472 = V146325 - 1. assign V863418 = V137898 + 1. assign V884127 = V843070. assign V640077 = V776579 + 1. assign V356057 = V413186. assign V759887 = V804974 + 1. assign V146325 = V413186 - 1. assign V539294 = V146915 - 1. assign V052300 = V776579 + 1. assign V167700 = V534997 + 1. assign V209101 = V800299. assign V888877 = V638335 + 1. assign V155789 = V855767 + 1. assign V775345 = V314344 - 1. assign V173537 = V463235 + 1. assign V521404 = V216336. assign V991041 = V804974 - 1. assign V190568 = V041843. assign V225678 = V065657 - 1. assign V769352 = V198801 - 1. assign V690959 = V209101 + 1. assign V855767 = V174533 + 1. assign V840877 = V284235 - 1. assign V127794 = V167091 + 1. assign V426671 = V488619 + 1. assign V764790 = V777772. assign V045121 = V041843. assign V361150 = V960966 + 1. assign V054696 = V459940 + 1. assign V201015 = V030557. assign V314344 = V764790 + 1. assign V312947 = V648964 - 1. assign V911086 = V870258 - 1. assign V273727 = V855767 + 1. assign V655132 = V151829 - 1. assign V994038 = V627472. assign V146915 = V346891 + 1. assign V736883 = V793698 + 1. assign V678401 = V924483 + 1. assign V395851 = V776579. assign V076787 = V225678. assign V488619 = V870258 + 1. assign V125860 = V985457. assign V033629 = V362196 + 1. assign V269177 = V534997 - 1. assign V923472 = V686501 - 1. assign V275808 = V112350 - 1. assign V052010 = V748471. assign V079714 = V994038 + 1. assign V514135 = V016240 - 1. assign V943700 = V284235. assign V442215 = V463235. assign V320442 = V683757 - 1. assign V795369 = V852797. assign V275938 = V855767. assign V100396 = V521404 + 1. assign V898881 = V690959. assign V873832 = V314344. assign V349587 = V209101 - 1. assign V362196 = V137898 + 1. assign V413186 = V648964 - 1. assign V058572 = V873832. assign V764964 = V163470 - 1. assign V927931 = V065657 - 1. assign V762728 = V412787. assign V137898 = V314344 - 1. assign V162778 = V776579 + 1. assign V323722 = V759887. assign V159315 = V610152 - 1. assign V588449 = V065657. assign V167091 = V985457 - 1. assign V862409 = V346891 - 1. assign V151829 = V648964 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV198801 = 0;\n\nFrom these direct assignment(s), we have: \nV769352 = V198801 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V769352;\nNo other variables can be derived from V198801;\n\nNow we have done all the calculations. Derived variables are:\nV198801 = 0;\nV769352 = -1;\n\nNow we have finished this problem. ANSWER:\nV769352\n", "role": "assistant" } ]

[ "V383424", "V776405" ]

[ { "content": "<context>\nassign V980184 = V462030 - 1. assign V639499 = V722644. assign V106327 = V913634. assign V189522 = V701010 + 1. assign V393542 = V727375 - 1. assign V879012 = V471612. assign V078404 = V907391 - 1. assign V526369 = V922331 - 1. assign V020350 = V181267 - 1. assign V663370 = V722644. assign V712837 = V041311 + 1. assign V070037 = V542741 + 1. assign V590395 = V424795. assign V181160 = V812964 - 1. assign V770451 = V922331 - 1. assign V641019 = V122312 + 1. assign V598111 = V548470. assign V999516 = V722644 + 1. assign V380966 = V797075 - 1. assign V349779 = V956035. assign V917675 = V089132 - 1. assign V798923 = V787151. assign V274593 = V244482 + 1. assign V627029 = V656409 - 1. assign V383424 = 5. assign V900514 = V776205 - 1. assign V476873 = V292590 - 1. assign V940910 = V412779. assign V841791 = V462030 - 1. assign V154532 = V327922 - 1. assign V424795 = V553282 - 1. assign V486422 = V500135 - 1. assign V749197 = V015887 - 1. assign V093451 = V385867. assign V015887 = V724251. assign V571387 = V073573. assign V326571 = V764079 + 1. assign V553282 = V010434 + 1. assign V038169 = V001070 - 1. assign V528119 = V001070 + 1. assign V271860 = V015887 + 1. assign V728869 = V854879 + 1. assign V089132 = V730909. assign V412779 = V679579 - 1. assign V889051 = V722644 - 1. assign V087238 = V526369. assign V468973 = V770451 + 1. assign V662046 = V408432. assign V488931 = V641019. assign V385867 = V999516 + 1. assign V826401 = V326571 - 1. assign V770262 = V898032 - 1. assign V956035 = V542741 - 1. assign V701010 = V898032 - 1. assign V913634 = V001070 - 1. assign V034413 = V764079 + 1. assign V104778 = V041311. assign V044038 = V679579. assign V503105 = V403206. assign V601507 = V999516. assign V417470 = V542741 + 1. assign V260271 = V889051 + 1. assign V812964 = V701010 + 1. assign V724251 = V385867 - 1. assign V271062 = V503105 + 1. assign V122312 = V093451 + 1. assign V854879 = V038169 - 1. assign V252191 = V952843. assign V403206 = V102240. assign V404433 = V602273. assign V898032 = V548470 - 1. assign V831400 = V641019 + 1. assign V271425 = V393542. assign V121863 = V261628 - 1. assign V727375 = V406893 - 1. assign V240395 = V730909. assign V727975 = V730909. assign V523675 = V408432 + 1. assign V679579 = V889051 + 1. assign V572715 = V727975 - 1. assign V960459 = V641019. assign V462030 = V010434 - 1. assign V602273 = V102240 + 1. assign V008429 = V729584 + 1. assign V261628 = V093451 - 1. assign V711108 = V815974 + 1. assign V888110 = V923450 - 1. assign V031842 = V385867 - 1. assign V742562 = V797075 + 1. assign V512260 = V922331 - 1. assign V030678 = V879012 - 1. assign V048860 = V523675 - 1. assign V052278 = V417470. assign V292590 = V078404 - 1. assign V786723 = V122312. assign V652560 = V888110 - 1. assign V662894 = V923450 - 1. assign V416002 = V898032 + 1. assign V500135 = V553282 - 1. assign V010434 = V571387. assign V468078 = V439704 - 1. assign V830213 = V500576. assign V471612 = V639499 + 1. assign V073573 = V722644 + 1. assign V317085 = V393542. assign V823648 = V727375 + 1. assign V764079 = V385867 - 1. assign V776405 = V383424. assign V820343 = V727975 + 1. assign V014980 = V093451 + 1. assign V922331 = V929447. assign V815974 = V181267. assign V001070 = V929447 + 1. assign V797075 = V501879. assign V101577 = V120748 - 1. assign V952843 = V929447 + 1. assign V439704 = V031842. assign V173705 = V656409 + 1. assign V501879 = V014980 - 1. assign V500576 = V252191 + 1. assign V610234 = V501879. assign V422816 = V052278. assign V244482 = V749197 - 1. assign V256085 = V203709 + 1. assign V656409 = V754242 - 1. assign V041311 = V001070. assign V787151 = V412779. assign V072708 = V419088 + 1. assign V966850 = V173705 - 1. assign V793568 = V820343. assign V465543 = V419088 - 1. assign V729584 = V271860 - 1. assign V542641 = V261628. assign V174310 = V956035 + 1. assign V621382 = V173705. assign V730909 = V999516 - 1. assign V777623 = V900241 - 1. assign V082199 = V786723. assign V923450 = V929447 - 1. assign V419088 = V888110 + 1. assign V135328 = V181267 + 1. assign V033103 = V408432 - 1. assign V079909 = V784130 - 1. assign V082994 = V014980 + 1. assign V102240 = V749197. assign V242931 = V907391 - 1. assign V900241 = V089132 - 1. assign V929447 = V889051 - 1. assign V120748 = V742562. assign V485500 = V385867 - 1. assign V369911 = V812964 - 1. assign V907391 = V683157 - 1. assign V060979 = V031842 - 1. assign V784130 = V015887 - 1. assign V203709 = V922331. assign V106569 = V923450 - 1. assign V683157 = V727375 + 1. assign V757939 = V261628 - 1. assign V776205 = V031842. assign V685873 = V369911 + 1. assign V542741 = V471612 + 1. assign V618951 = V038169. assign V408432 = V679579 + 1. assign V406893 = V722644. assign V894976 = V929447 - 1. assign V359317 = V656409 - 1. assign V754242 = V122312 + 1. assign V451489 = V663370 + 1. assign V181267 = V073573 - 1. assign V327922 = V548470 - 1. assign V548470 = V639499 + 1. assign V026565 = V923450 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V980184 = V462030 - 1. assign V639499 = V722644. assign V106327 = V913634. assign V189522 = V701010 + 1. assign V393542 = V727375 - 1. assign V879012 = V471612. assign V078404 = V907391 - 1. assign V526369 = V922331 - 1. assign V020350 = V181267 - 1. assign V663370 = V722644. assign V712837 = V041311 + 1. assign V070037 = V542741 + 1. assign V590395 = V424795. assign V181160 = V812964 - 1. assign V770451 = V922331 - 1. assign V641019 = V122312 + 1. assign V598111 = V548470. assign V999516 = V722644 + 1. assign V380966 = V797075 - 1. assign V349779 = V956035. assign V917675 = V089132 - 1. assign V798923 = V787151. assign V274593 = V244482 + 1. assign V627029 = V656409 - 1. assign V383424 = 5. assign V900514 = V776205 - 1. assign V476873 = V292590 - 1. assign V940910 = V412779. assign V841791 = V462030 - 1. assign V154532 = V327922 - 1. assign V424795 = V553282 - 1. assign V486422 = V500135 - 1. assign V749197 = V015887 - 1. assign V093451 = V385867. assign V015887 = V724251. assign V571387 = V073573. assign V326571 = V764079 + 1. assign V553282 = V010434 + 1. assign V038169 = V001070 - 1. assign V528119 = V001070 + 1. assign V271860 = V015887 + 1. assign V728869 = V854879 + 1. assign V089132 = V730909. assign V412779 = V679579 - 1. assign V889051 = V722644 - 1. assign V087238 = V526369. assign V468973 = V770451 + 1. assign V662046 = V408432. assign V488931 = V641019. assign V385867 = V999516 + 1. assign V826401 = V326571 - 1. assign V770262 = V898032 - 1. assign V956035 = V542741 - 1. assign V701010 = V898032 - 1. assign V913634 = V001070 - 1. assign V034413 = V764079 + 1. assign V104778 = V041311. assign V044038 = V679579. assign V503105 = V403206. assign V601507 = V999516. assign V417470 = V542741 + 1. assign V260271 = V889051 + 1. assign V812964 = V701010 + 1. assign V724251 = V385867 - 1. assign V271062 = V503105 + 1. assign V122312 = V093451 + 1. assign V854879 = V038169 - 1. assign V252191 = V952843. assign V403206 = V102240. assign V404433 = V602273. assign V898032 = V548470 - 1. assign V831400 = V641019 + 1. assign V271425 = V393542. assign V121863 = V261628 - 1. assign V727375 = V406893 - 1. assign V240395 = V730909. assign V727975 = V730909. assign V523675 = V408432 + 1. assign V679579 = V889051 + 1. assign V572715 = V727975 - 1. assign V960459 = V641019. assign V462030 = V010434 - 1. assign V602273 = V102240 + 1. assign V008429 = V729584 + 1. assign V261628 = V093451 - 1. assign V711108 = V815974 + 1. assign V888110 = V923450 - 1. assign V031842 = V385867 - 1. assign V742562 = V797075 + 1. assign V512260 = V922331 - 1. assign V030678 = V879012 - 1. assign V048860 = V523675 - 1. assign V052278 = V417470. assign V292590 = V078404 - 1. assign V786723 = V122312. assign V652560 = V888110 - 1. assign V662894 = V923450 - 1. assign V416002 = V898032 + 1. assign V500135 = V553282 - 1. assign V010434 = V571387. assign V468078 = V439704 - 1. assign V830213 = V500576. assign V471612 = V639499 + 1. assign V073573 = V722644 + 1. assign V317085 = V393542. assign V823648 = V727375 + 1. assign V764079 = V385867 - 1. assign V776405 = V383424. assign V820343 = V727975 + 1. assign V014980 = V093451 + 1. assign V922331 = V929447. assign V815974 = V181267. assign V001070 = V929447 + 1. assign V797075 = V501879. assign V101577 = V120748 - 1. assign V952843 = V929447 + 1. assign V439704 = V031842. assign V173705 = V656409 + 1. assign V501879 = V014980 - 1. assign V500576 = V252191 + 1. assign V610234 = V501879. assign V422816 = V052278. assign V244482 = V749197 - 1. assign V256085 = V203709 + 1. assign V656409 = V754242 - 1. assign V041311 = V001070. assign V787151 = V412779. assign V072708 = V419088 + 1. assign V966850 = V173705 - 1. assign V793568 = V820343. assign V465543 = V419088 - 1. assign V729584 = V271860 - 1. assign V542641 = V261628. assign V174310 = V956035 + 1. assign V621382 = V173705. assign V730909 = V999516 - 1. assign V777623 = V900241 - 1. assign V082199 = V786723. assign V923450 = V929447 - 1. assign V419088 = V888110 + 1. assign V135328 = V181267 + 1. assign V033103 = V408432 - 1. assign V079909 = V784130 - 1. assign V082994 = V014980 + 1. assign V102240 = V749197. assign V242931 = V907391 - 1. assign V900241 = V089132 - 1. assign V929447 = V889051 - 1. assign V120748 = V742562. assign V485500 = V385867 - 1. assign V369911 = V812964 - 1. assign V907391 = V683157 - 1. assign V060979 = V031842 - 1. assign V784130 = V015887 - 1. assign V203709 = V922331. assign V106569 = V923450 - 1. assign V683157 = V727375 + 1. assign V757939 = V261628 - 1. assign V776205 = V031842. assign V685873 = V369911 + 1. assign V542741 = V471612 + 1. assign V618951 = V038169. assign V408432 = V679579 + 1. assign V406893 = V722644. assign V894976 = V929447 - 1. assign V359317 = V656409 - 1. assign V754242 = V122312 + 1. assign V451489 = V663370 + 1. assign V181267 = V073573 - 1. assign V327922 = V548470 - 1. assign V548470 = V639499 + 1. assign V026565 = V923450 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV383424 = 5;\n\nFrom these direct assignment(s), we have: \nV776405 = V383424 = 5;\nNo other variables can be derived from V776405;\nNo other variables can be derived from V383424;\n\nNow we have done all the calculations. Derived variables are:\nV383424 = 5;\nV776405 = 5;\n\nNow we have finished this problem. ANSWER:\nV383424, V776405\n", "role": "assistant" } ]

[ "V352231" ]

[ { "content": "<context>\nassign V809260 = V142556 + 1. assign V655110 = V323131. assign V904185 = V115706 + 1. assign V356950 = V252619 + 1. assign V475617 = V863162 - 1. assign V166094 = V142556. assign V455882 = V252619. assign V977080 = V486756 - 1. assign V581744 = V960849. assign V495992 = V934091 - 1. assign V656926 = V881745 - 1. assign V643970 = V186156 + 1. assign V379687 = V906501 - 1. assign V346171 = V401582. assign V664069 = V460395 + 1. assign V715589 = V005947 - 1. assign V430365 = V379687 + 1. assign V954357 = V252619 + 1. assign V499992 = V709755 + 1. assign V916143 = V942729 - 1. assign V252619 = V256471 - 1. assign V797438 = V625457. assign V651569 = V916143 - 1. assign V759695 = V252619 - 1. assign V463017 = V683738. assign V646261 = V625457. assign V765999 = V906501. assign V095300 = V095471. assign V322799 = V019460. assign V301956 = V178999 + 1. assign V680347 = V646261 - 1. assign V241380 = V640624 - 1. assign V351622 = V312072. assign V509923 = V351622. assign V095471 = V960849 + 1. assign V077957 = V534300 - 1. assign V553780 = V715589. assign V256471 = V351622 - 1. assign V129628 = V656926. assign V124252 = V312072. assign V248624 = V486756 - 1. assign V722187 = V553780. assign V073938 = V293269 - 1. assign V312072 = V942729 + 1. assign V640624 = V801454 + 1. assign V681173 = V252619 + 1. assign V073592 = V906501 - 1. assign V793858 = V538251 - 1. assign V195900 = V906501 + 1. assign V460964 = V916143. assign V651029 = V252619. assign V293269 = V934091 + 1. assign V212662 = V252619. assign V242373 = V496364 + 1. assign V660556 = V969403 + 1. assign V429317 = V295840 + 1. assign V311072 = V220083 + 1. assign V702151 = V720560 - 1. assign V185798 = V759695. assign V678596 = V351622. assign V534300 = V312072 + 1. assign V073534 = V534300 - 1. assign V611039 = V709755 + 1. assign V906501 = V295840 + 1. assign V638835 = V554226 - 1. assign V650647 = V009020. assign V921952 = V906162 + 1. assign V258962 = V209103. assign V556276 = V934091. assign V835642 = V351622 - 1. assign V115706 = V509923. assign V071823 = V916143 - 1. assign V874962 = V452531 - 1. assign V266479 = V460395 + 1. assign V246653 = V578237. assign V019460 = V212662 + 1. assign V005947 = V255589. assign V428333 = V328368 + 1. assign V822201 = V499992 - 1. assign V125644 = V455882. assign V930598 = V969403 + 1. assign V906162 = V379687. assign V980539 = V906501 + 1. assign V257633 = V960849. assign V566056 = V347322. assign V860248 = V832797 + 1. assign V214025 = V681173 - 1. assign V323131 = V980539 + 1. assign V347322 = V881745 - 1. assign V203496 = V346171. assign V801454 = V401582 + 1. assign V290553 = V556276 - 1. assign V934091 = V765999 - 1. assign V405139 = V356950 + 1. assign V772338 = V906501 + 1. assign V752885 = V660556. assign V747072 = V430365. assign V699917 = V379687. assign V016373 = V765999. assign V209103 = V835642 - 1. assign V097294 = V460964 + 1. assign V024492 = V351622 + 1. assign V210703 = V699917 - 1. assign V554226 = V073592 - 1. assign V486756 = V495992 - 1. assign V461720 = V534300 - 1. assign V357313 = V124252 - 1. assign V012099 = V452531. assign V683738 = V835642 - 1. assign V832797 = V759695 - 1. assign V985948 = V646261 + 1. assign V942729 = V295840 + 1. assign V186156 = V210703 - 1. assign V135241 = V854607. assign V855454 = V351622 + 1. assign V538251 = V295840. assign V278321 = V005947. assign V460395 = V699917 + 1. assign V255589 = V312072. assign V469385 = V073592 + 1. assign V352231 = 2. assign V814856 = V646261 + 1. assign V854607 = V625457 + 1. assign V881745 = V461720 + 1. assign V411747 = V611039 + 1. assign V295840 = V625457 + 1. assign V969403 = V256471. assign V052565 = V024492 + 1. assign V838170 = V352231 - 1. assign V452531 = V969403 + 1. assign V481506 = V930598 - 1. assign V195839 = V854607. assign V863162 = V252619 - 1. assign V172402 = V702151 - 1. assign V790981 = V835642 - 1. assign V178999 = V863162. assign V960849 = V295840 - 1. assign V968465 = V360021 - 1. assign V113287 = V220083. assign V522607 = V293269 + 1. assign V908105 = V835642 + 1. assign V166250 = V178999 + 1. assign V990120 = V747072 - 1. assign V220083 = V256471 + 1. assign V578237 = V765999 + 1. assign V653642 = V801454 + 1. assign V270689 = V125644 + 1. assign V113707 = V142556. assign V496364 = V187691 - 1. assign V142556 = V646261 - 1. assign V165884 = V480477. assign V421482 = V295840 + 1. assign V201143 = V185798 + 1. assign V709755 = V930598. assign V187691 = V256471. assign V354026 = V214025. assign V972310 = V496364 - 1. assign V029035 = V266479 + 1. assign V336078 = V460964. assign V480477 = V252619 + 1. assign V817446 = V699917. assign V532407 = V421482 + 1. assign V360021 = V980539 - 1. assign V328368 = V906162 - 1. assign V924542 = V643970 + 1. assign V686891 = V460964 - 1. assign V435244 = V246653 + 1. assign V401582 = V683738 + 1. assign V039203 = V863162 + 1. assign V828085 = V904185 - 1. assign V720560 = V019460. assign V009020 = V916143 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V809260 = V142556 + 1. assign V655110 = V323131. assign V904185 = V115706 + 1. assign V356950 = V252619 + 1. assign V475617 = V863162 - 1. assign V166094 = V142556. assign V455882 = V252619. assign V977080 = V486756 - 1. assign V581744 = V960849. assign V495992 = V934091 - 1. assign V656926 = V881745 - 1. assign V643970 = V186156 + 1. assign V379687 = V906501 - 1. assign V346171 = V401582. assign V664069 = V460395 + 1. assign V715589 = V005947 - 1. assign V430365 = V379687 + 1. assign V954357 = V252619 + 1. assign V499992 = V709755 + 1. assign V916143 = V942729 - 1. assign V252619 = V256471 - 1. assign V797438 = V625457. assign V651569 = V916143 - 1. assign V759695 = V252619 - 1. assign V463017 = V683738. assign V646261 = V625457. assign V765999 = V906501. assign V095300 = V095471. assign V322799 = V019460. assign V301956 = V178999 + 1. assign V680347 = V646261 - 1. assign V241380 = V640624 - 1. assign V351622 = V312072. assign V509923 = V351622. assign V095471 = V960849 + 1. assign V077957 = V534300 - 1. assign V553780 = V715589. assign V256471 = V351622 - 1. assign V129628 = V656926. assign V124252 = V312072. assign V248624 = V486756 - 1. assign V722187 = V553780. assign V073938 = V293269 - 1. assign V312072 = V942729 + 1. assign V640624 = V801454 + 1. assign V681173 = V252619 + 1. assign V073592 = V906501 - 1. assign V793858 = V538251 - 1. assign V195900 = V906501 + 1. assign V460964 = V916143. assign V651029 = V252619. assign V293269 = V934091 + 1. assign V212662 = V252619. assign V242373 = V496364 + 1. assign V660556 = V969403 + 1. assign V429317 = V295840 + 1. assign V311072 = V220083 + 1. assign V702151 = V720560 - 1. assign V185798 = V759695. assign V678596 = V351622. assign V534300 = V312072 + 1. assign V073534 = V534300 - 1. assign V611039 = V709755 + 1. assign V906501 = V295840 + 1. assign V638835 = V554226 - 1. assign V650647 = V009020. assign V921952 = V906162 + 1. assign V258962 = V209103. assign V556276 = V934091. assign V835642 = V351622 - 1. assign V115706 = V509923. assign V071823 = V916143 - 1. assign V874962 = V452531 - 1. assign V266479 = V460395 + 1. assign V246653 = V578237. assign V019460 = V212662 + 1. assign V005947 = V255589. assign V428333 = V328368 + 1. assign V822201 = V499992 - 1. assign V125644 = V455882. assign V930598 = V969403 + 1. assign V906162 = V379687. assign V980539 = V906501 + 1. assign V257633 = V960849. assign V566056 = V347322. assign V860248 = V832797 + 1. assign V214025 = V681173 - 1. assign V323131 = V980539 + 1. assign V347322 = V881745 - 1. assign V203496 = V346171. assign V801454 = V401582 + 1. assign V290553 = V556276 - 1. assign V934091 = V765999 - 1. assign V405139 = V356950 + 1. assign V772338 = V906501 + 1. assign V752885 = V660556. assign V747072 = V430365. assign V699917 = V379687. assign V016373 = V765999. assign V209103 = V835642 - 1. assign V097294 = V460964 + 1. assign V024492 = V351622 + 1. assign V210703 = V699917 - 1. assign V554226 = V073592 - 1. assign V486756 = V495992 - 1. assign V461720 = V534300 - 1. assign V357313 = V124252 - 1. assign V012099 = V452531. assign V683738 = V835642 - 1. assign V832797 = V759695 - 1. assign V985948 = V646261 + 1. assign V942729 = V295840 + 1. assign V186156 = V210703 - 1. assign V135241 = V854607. assign V855454 = V351622 + 1. assign V538251 = V295840. assign V278321 = V005947. assign V460395 = V699917 + 1. assign V255589 = V312072. assign V469385 = V073592 + 1. assign V352231 = 2. assign V814856 = V646261 + 1. assign V854607 = V625457 + 1. assign V881745 = V461720 + 1. assign V411747 = V611039 + 1. assign V295840 = V625457 + 1. assign V969403 = V256471. assign V052565 = V024492 + 1. assign V838170 = V352231 - 1. assign V452531 = V969403 + 1. assign V481506 = V930598 - 1. assign V195839 = V854607. assign V863162 = V252619 - 1. assign V172402 = V702151 - 1. assign V790981 = V835642 - 1. assign V178999 = V863162. assign V960849 = V295840 - 1. assign V968465 = V360021 - 1. assign V113287 = V220083. assign V522607 = V293269 + 1. assign V908105 = V835642 + 1. assign V166250 = V178999 + 1. assign V990120 = V747072 - 1. assign V220083 = V256471 + 1. assign V578237 = V765999 + 1. assign V653642 = V801454 + 1. assign V270689 = V125644 + 1. assign V113707 = V142556. assign V496364 = V187691 - 1. assign V142556 = V646261 - 1. assign V165884 = V480477. assign V421482 = V295840 + 1. assign V201143 = V185798 + 1. assign V709755 = V930598. assign V187691 = V256471. assign V354026 = V214025. assign V972310 = V496364 - 1. assign V029035 = V266479 + 1. assign V336078 = V460964. assign V480477 = V252619 + 1. assign V817446 = V699917. assign V532407 = V421482 + 1. assign V360021 = V980539 - 1. assign V328368 = V906162 - 1. assign V924542 = V643970 + 1. assign V686891 = V460964 - 1. assign V435244 = V246653 + 1. assign V401582 = V683738 + 1. assign V039203 = V863162 + 1. assign V828085 = V904185 - 1. assign V720560 = V019460. assign V009020 = V916143 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV352231 = 2;\n\nFrom these direct assignment(s), we have: \nV838170 = V352231 - 1 = 2 - 1 =1;\nNo other variables can be derived from V838170;\nNo other variables can be derived from V352231;\n\nNow we have done all the calculations. Derived variables are:\nV352231 = 2;\nV838170 = 1;\n\nNow we have finished this problem. ANSWER:\nV352231\n", "role": "assistant" } ]

[ "V499800" ]

[ { "content": "<context>\nassign V147642 = V206415. assign V170331 = V146927 - 1. assign V917654 = V801992 + 1. assign V807802 = V715744. assign V793122 = V196657 - 1. assign V908044 = V340353. assign V267397 = V313408 - 1. assign V623794 = V066967. assign V795256 = V917822 - 1. assign V285924 = V288677 - 1. assign V017077 = V685914 - 1. assign V517747 = V196657 + 1. assign V012194 = V017077. assign V752361 = V153158. assign V425669 = V428577. assign V947856 = V546173. assign V524211 = V685914 - 1. assign V213061 = V545014 + 1. assign V069047 = V685914 + 1. assign V984309 = V524211 - 1. assign V499800 = V023437 - 1. assign V259371 = V524529. assign V917822 = V225253 - 1. assign V579753 = V285924 - 1. assign V940169 = V253168. assign V107828 = V299948 + 1. assign V715744 = V643283. assign V390191 = V053966 - 1. assign V341738 = V066967 + 1. assign V659123 = V313408. assign V032096 = V593923 + 1. assign V678756 = V144433 + 1. assign V516442 = V670208 + 1. assign V534262 = V428577. assign V440890 = V752606. assign V548567 = V285924. assign V780082 = V049647. assign V234512 = V752606 - 1. assign V164751 = V338754. assign V581738 = V313408. assign V053966 = V056853 + 1. assign V360199 = V196657. assign V081228 = V056853 - 1. assign V160488 = V863738 - 1. assign V012163 = V490582 - 1. assign V153158 = V548567 - 1. assign V257281 = V715744. assign V926732 = V234512 + 1. assign V967244 = V206415. assign V470271 = V715744 + 1. assign V439680 = V091925 + 1. assign V175674 = V685914. assign V346632 = V670208. assign V741772 = V807802 + 1. assign V277351 = V221671 - 1. assign V091925 = V428577. assign V910189 = V301320. assign V310303 = V313408 + 1. assign V110803 = V385035 + 1. assign V453426 = V085823 - 1. assign V685914 = V196657 - 1. assign V458732 = V313408 + 1. assign V752606 = V196657 + 1. assign V144433 = V534262 + 1. assign V489135 = V288677 + 1. assign V230196 = V340353 + 1. assign V490582 = V428577 + 1. assign V270749 = V180858. assign V066967 = V196657. assign V591573 = V144433. assign V807710 = V794724. assign V969257 = V490582 - 1. assign V524529 = V095210 + 1. assign V977571 = V458732. assign V213324 = V497633 - 1. assign V903198 = V180858 + 1. assign V385035 = V458732 + 1. assign V631114 = V548567 - 1. assign V362700 = V752606 - 1. assign V122943 = V685914. assign V794724 = V545014 + 1. assign V961358 = V230196 + 1. assign V095210 = V288677 + 1. assign V670208 = V715744 + 1. assign V222195 = V738033. assign V546173 = V012194 + 1. assign V801992 = V053966 - 1. assign V866921 = V481645 - 1. assign V650637 = V259371 - 1. assign V535811 = V338754 - 1. assign V727602 = V285924 + 1. assign V469884 = V288677 + 1. assign V695029 = V288677 + 1. assign V391127 = V947856 + 1. assign V616663 = V340353. assign V481645 = V301098. assign V942264 = V390191 + 1. assign V085823 = V225253. assign V375231 = V751405 + 1. assign V301320 = V969257. assign V407360 = V534262 - 1. assign V301098 = V593923. assign V028069 = V012163 - 1. assign V577840 = V439680 + 1. assign V828129 = V122943 + 1. assign V051998 = V524211. assign V643283 = V285924. assign V221671 = V301098 - 1. assign V299948 = V206415 - 1. assign V234176 = V581738 - 1. assign V600120 = V053966 + 1. assign V791533 = V490582 - 1. assign V385398 = V524529 + 1. assign V738033 = V301320 - 1. assign V338754 = V490582. assign V313408 = V727602 - 1. assign V023437 = 7. assign V713359 = V170331. assign V253168 = V012194 - 1. assign V321006 = V411419 + 1. assign V545014 = V863738 - 1. assign V497633 = V524529 - 1. assign V097800 = V053966 + 1. assign V947141 = V196657 - 1. assign V011296 = V267397 - 1. assign V049647 = V643283 - 1. assign V524228 = V259371. assign V206415 = V066967. assign V836955 = V546173. assign V732167 = V738033 + 1. assign V988795 = V267397 - 1. assign V908383 = V517747 + 1. assign V955135 = V458732 - 1. assign V180858 = V863738 + 1. assign V288797 = V489135 + 1. assign V937654 = V196657 + 1. assign V354828 = V593923 - 1. assign V249571 = V299948 + 1. assign V475152 = V732167. assign V008675 = V301320. assign V479215 = V524529 - 1. assign V985159 = V700164 - 1. assign V760316 = V670208. assign V234071 = V259335 - 1. assign V259335 = V517747 - 1. assign V225253 = V053966. assign V196657 = V288677 + 1. assign V146927 = V095210 - 1. assign V568693 = V267397 - 1. assign V002858 = V439680 + 1. assign V150401 = V051998 - 1. assign V757957 = V524211 - 1. assign V468381 = V593923 - 1. assign V411419 = V752606. assign V083126 = V081228 + 1. assign V929019 = V481645 + 1. assign V700164 = V011296 - 1. assign V863738 = V593923. assign V909754 = V310303 - 1. assign V592791 = V751405 - 1. assign V340353 = V085823 - 1. assign V851180 = V481645. assign V396395 = V715744 + 1. assign V751405 = V548567. assign V913036 = V757957 + 1. assign V428577 = V793122 + 1. assign V739500 = V288677 - 1. assign V032182 = V524529. assign V545847 = V534262 + 1. assign V056853 = V288677 + 1. assign V593923 = V285924 - 1. assign V940986 = V593923.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V147642 = V206415. assign V170331 = V146927 - 1. assign V917654 = V801992 + 1. assign V807802 = V715744. assign V793122 = V196657 - 1. assign V908044 = V340353. assign V267397 = V313408 - 1. assign V623794 = V066967. assign V795256 = V917822 - 1. assign V285924 = V288677 - 1. assign V017077 = V685914 - 1. assign V517747 = V196657 + 1. assign V012194 = V017077. assign V752361 = V153158. assign V425669 = V428577. assign V947856 = V546173. assign V524211 = V685914 - 1. assign V213061 = V545014 + 1. assign V069047 = V685914 + 1. assign V984309 = V524211 - 1. assign V499800 = V023437 - 1. assign V259371 = V524529. assign V917822 = V225253 - 1. assign V579753 = V285924 - 1. assign V940169 = V253168. assign V107828 = V299948 + 1. assign V715744 = V643283. assign V390191 = V053966 - 1. assign V341738 = V066967 + 1. assign V659123 = V313408. assign V032096 = V593923 + 1. assign V678756 = V144433 + 1. assign V516442 = V670208 + 1. assign V534262 = V428577. assign V440890 = V752606. assign V548567 = V285924. assign V780082 = V049647. assign V234512 = V752606 - 1. assign V164751 = V338754. assign V581738 = V313408. assign V053966 = V056853 + 1. assign V360199 = V196657. assign V081228 = V056853 - 1. assign V160488 = V863738 - 1. assign V012163 = V490582 - 1. assign V153158 = V548567 - 1. assign V257281 = V715744. assign V926732 = V234512 + 1. assign V967244 = V206415. assign V470271 = V715744 + 1. assign V439680 = V091925 + 1. assign V175674 = V685914. assign V346632 = V670208. assign V741772 = V807802 + 1. assign V277351 = V221671 - 1. assign V091925 = V428577. assign V910189 = V301320. assign V310303 = V313408 + 1. assign V110803 = V385035 + 1. assign V453426 = V085823 - 1. assign V685914 = V196657 - 1. assign V458732 = V313408 + 1. assign V752606 = V196657 + 1. assign V144433 = V534262 + 1. assign V489135 = V288677 + 1. assign V230196 = V340353 + 1. assign V490582 = V428577 + 1. assign V270749 = V180858. assign V066967 = V196657. assign V591573 = V144433. assign V807710 = V794724. assign V969257 = V490582 - 1. assign V524529 = V095210 + 1. assign V977571 = V458732. assign V213324 = V497633 - 1. assign V903198 = V180858 + 1. assign V385035 = V458732 + 1. assign V631114 = V548567 - 1. assign V362700 = V752606 - 1. assign V122943 = V685914. assign V794724 = V545014 + 1. assign V961358 = V230196 + 1. assign V095210 = V288677 + 1. assign V670208 = V715744 + 1. assign V222195 = V738033. assign V546173 = V012194 + 1. assign V801992 = V053966 - 1. assign V866921 = V481645 - 1. assign V650637 = V259371 - 1. assign V535811 = V338754 - 1. assign V727602 = V285924 + 1. assign V469884 = V288677 + 1. assign V695029 = V288677 + 1. assign V391127 = V947856 + 1. assign V616663 = V340353. assign V481645 = V301098. assign V942264 = V390191 + 1. assign V085823 = V225253. assign V375231 = V751405 + 1. assign V301320 = V969257. assign V407360 = V534262 - 1. assign V301098 = V593923. assign V028069 = V012163 - 1. assign V577840 = V439680 + 1. assign V828129 = V122943 + 1. assign V051998 = V524211. assign V643283 = V285924. assign V221671 = V301098 - 1. assign V299948 = V206415 - 1. assign V234176 = V581738 - 1. assign V600120 = V053966 + 1. assign V791533 = V490582 - 1. assign V385398 = V524529 + 1. assign V738033 = V301320 - 1. assign V338754 = V490582. assign V313408 = V727602 - 1. assign V023437 = 7. assign V713359 = V170331. assign V253168 = V012194 - 1. assign V321006 = V411419 + 1. assign V545014 = V863738 - 1. assign V497633 = V524529 - 1. assign V097800 = V053966 + 1. assign V947141 = V196657 - 1. assign V011296 = V267397 - 1. assign V049647 = V643283 - 1. assign V524228 = V259371. assign V206415 = V066967. assign V836955 = V546173. assign V732167 = V738033 + 1. assign V988795 = V267397 - 1. assign V908383 = V517747 + 1. assign V955135 = V458732 - 1. assign V180858 = V863738 + 1. assign V288797 = V489135 + 1. assign V937654 = V196657 + 1. assign V354828 = V593923 - 1. assign V249571 = V299948 + 1. assign V475152 = V732167. assign V008675 = V301320. assign V479215 = V524529 - 1. assign V985159 = V700164 - 1. assign V760316 = V670208. assign V234071 = V259335 - 1. assign V259335 = V517747 - 1. assign V225253 = V053966. assign V196657 = V288677 + 1. assign V146927 = V095210 - 1. assign V568693 = V267397 - 1. assign V002858 = V439680 + 1. assign V150401 = V051998 - 1. assign V757957 = V524211 - 1. assign V468381 = V593923 - 1. assign V411419 = V752606. assign V083126 = V081228 + 1. assign V929019 = V481645 + 1. assign V700164 = V011296 - 1. assign V863738 = V593923. assign V909754 = V310303 - 1. assign V592791 = V751405 - 1. assign V340353 = V085823 - 1. assign V851180 = V481645. assign V396395 = V715744 + 1. assign V751405 = V548567. assign V913036 = V757957 + 1. assign V428577 = V793122 + 1. assign V739500 = V288677 - 1. assign V032182 = V524529. assign V545847 = V534262 + 1. assign V056853 = V288677 + 1. assign V593923 = V285924 - 1. assign V940986 = V593923.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV023437 = 7;\n\nFrom these direct assignment(s), we have: \nV499800 = V023437 - 1 = 7 - 1 =6;\nNo other variables can be derived from V499800;\nNo other variables can be derived from V023437;\n\nNow we have done all the calculations. Derived variables are:\nV023437 = 7;\nV499800 = 6;\n\nNow we have finished this problem. ANSWER:\nV499800\n", "role": "assistant" } ]

[ "V484438" ]

[ { "content": "<context>\nassign V886333 = V678514 + 1. assign V136889 = V822586. assign V660646 = V851538 - 1. assign V859747 = V951044 + 1. assign V505846 = V058079 + 1. assign V025021 = V861982 - 1. assign V383968 = V061530. assign V587658 = V043751 - 1. assign V373241 = V061055 - 1. assign V678514 = V523063 + 1. assign V508387 = V163701. assign V106797 = V357637 + 1. assign V786073 = V019310 + 1. assign V923637 = V523063 - 1. assign V473021 = V777442 + 1. assign V635194 = V989809 - 1. assign V152859 = V992953. assign V824457 = V238354. assign V058079 = V527920. assign V866611 = V819816 - 1. assign V967001 = V140541 + 1. assign V051340 = V694626. assign V883520 = V864834 - 1. assign V806961 = V751925. assign V642397 = V538173 + 1. assign V164708 = V527920 - 1. assign V524134 = V702974 - 1. assign V206611 = V908289. assign V584127 = V074085 - 1. assign V356319 = V702974. assign V136149 = V353654 - 1. assign V615753 = V367513. assign V306147 = V510040 + 1. assign V987549 = V694626. assign V414562 = V163701. assign V864497 = V238354. assign V688948 = V115986. assign V724931 = V171861 - 1. assign V169784 = V739111. assign V864834 = V019310 - 1. assign V244259 = V367513 - 1. assign V081080 = V626146. assign V967186 = V923637 - 1. assign V787664 = V824457 - 1. assign V739111 = V115986 + 1. assign V751925 = V951044 - 1. assign V922921 = V025021 - 1. assign V400026 = V816636. assign V532009 = V572368 + 1. assign V199142 = V419074 - 1. assign V217517 = V383323 - 1. assign V523063 = V679186 + 1. assign V367513 = V936108 - 1. assign V699941 = V779334 - 1. assign V824788 = V523950. assign V397642 = V074085 + 1. assign V523950 = V169784. assign V037765 = V019310. assign V001739 = V419074 + 1. assign V298112 = V968316 + 1. assign V304856 = V354467 - 1. assign V527920 = V367513 + 1. assign V228029 = V710953 - 1. assign V238354 = V199142. assign V813521 = V523950 - 1. assign V282700 = V864834 - 1. assign V427614 = V864834 + 1. assign V390568 = V383968 + 1. assign V960937 = V171861 + 1. assign V992953 = V626146 - 1. assign V453056 = V822586 + 1. assign V021850 = V572368 + 1. assign V419074 = V572368 - 1. assign V484438 = V651679 - 1. assign V968316 = V936108 - 1. assign V189536 = V043751 + 1. assign V777442 = V840757 + 1. assign V706807 = V207332 + 1. assign V199287 = V397642. assign V535454 = V923637 + 1. assign V910936 = V989809 - 1. assign V712794 = V290591 - 1. assign V510040 = V158455 + 1. assign V019310 = V572368 + 1. assign V626146 = V712794 + 1. assign V694626 = V341291 - 1. assign V336215 = V244259 + 1. assign V840757 = V712794 - 1. assign V115986 = V473021 + 1. assign V061055 = V822586 + 1. assign V111315 = V085024. assign V353654 = V326637. assign V819816 = V861982 + 1. assign V326637 = V199142 + 1. assign V292912 = V453056 - 1. assign V837181 = V777442. assign V464072 = V992953 - 1. assign V435317 = V505846 + 1. assign V074085 = V001739 - 1. assign V470200 = V527920 - 1. assign V140541 = V679186. assign V783005 = V751925 + 1. assign V241105 = V140541. assign V717272 = V021850 - 1. assign V804638 = V367513 + 1. assign V679186 = V936108. assign V613132 = V292912. assign V707891 = V572368 + 1. assign V501538 = V103236 + 1. assign V158455 = V527920 - 1. assign V942198 = V043751. assign V106679 = V136889. assign V989809 = V968316 + 1. assign V388225 = V061055 - 1. assign V929944 = V824788 + 1. assign V950274 = V951044 + 1. assign V073940 = V140541 - 1. assign V174912 = V163701 - 1. assign V710953 = V816636 - 1. assign V768582 = V353654 + 1. assign V239817 = V106679 - 1. assign V719022 = V290591. assign V791099 = V886333. assign V047738 = V824457 + 1. assign V383323 = V572368 - 1. assign V103236 = V290591 - 1. assign V861982 = V140541 - 1. assign V851538 = V341291. assign V002447 = V419074 - 1. assign V619723 = V002447 + 1. assign V121529 = V241105 - 1. assign V052182 = V519185 - 1. assign V368373 = V688948. assign V146404 = V615753 - 1. assign V656571 = V936108. assign V649567 = V061055 + 1. assign V374690 = V751925. assign V163701 = V199142. assign V651679 = 2. assign V207332 = V968316. assign V829714 = V019310. assign V133328 = V326637 + 1. assign V043751 = V414562 + 1. assign V082335 = V374690. assign V908289 = V719022. assign V702974 = V505846 + 1. assign V171861 = V021850. assign V538173 = V082335. assign V957288 = V414562 + 1. assign V357637 = V082335. assign V126625 = V882747 + 1. assign V061530 = V082335 - 1. assign V085024 = V133328 - 1. assign V822586 = V679186 - 1. assign V655327 = V106679 + 1. assign V882747 = V523063. assign V069700 = V538173 + 1. assign V951044 = V936108 + 1. assign V779334 = V968316. assign V816636 = V572368 + 1. assign V519185 = V936108 + 1. assign V290591 = V572368 - 1. assign V936108 = V021850 - 1. assign V967302 = V558635 + 1. assign V373260 = V081080 - 1. assign V354467 = V121529. assign V291658 = V383323 + 1. assign V904096 = V435317 - 1. assign V277026 = V290591 + 1. assign V558635 = V519185 - 1. assign V957282 = V081080 - 1. assign V341291 = V816636 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V886333 = V678514 + 1. assign V136889 = V822586. assign V660646 = V851538 - 1. assign V859747 = V951044 + 1. assign V505846 = V058079 + 1. assign V025021 = V861982 - 1. assign V383968 = V061530. assign V587658 = V043751 - 1. assign V373241 = V061055 - 1. assign V678514 = V523063 + 1. assign V508387 = V163701. assign V106797 = V357637 + 1. assign V786073 = V019310 + 1. assign V923637 = V523063 - 1. assign V473021 = V777442 + 1. assign V635194 = V989809 - 1. assign V152859 = V992953. assign V824457 = V238354. assign V058079 = V527920. assign V866611 = V819816 - 1. assign V967001 = V140541 + 1. assign V051340 = V694626. assign V883520 = V864834 - 1. assign V806961 = V751925. assign V642397 = V538173 + 1. assign V164708 = V527920 - 1. assign V524134 = V702974 - 1. assign V206611 = V908289. assign V584127 = V074085 - 1. assign V356319 = V702974. assign V136149 = V353654 - 1. assign V615753 = V367513. assign V306147 = V510040 + 1. assign V987549 = V694626. assign V414562 = V163701. assign V864497 = V238354. assign V688948 = V115986. assign V724931 = V171861 - 1. assign V169784 = V739111. assign V864834 = V019310 - 1. assign V244259 = V367513 - 1. assign V081080 = V626146. assign V967186 = V923637 - 1. assign V787664 = V824457 - 1. assign V739111 = V115986 + 1. assign V751925 = V951044 - 1. assign V922921 = V025021 - 1. assign V400026 = V816636. assign V532009 = V572368 + 1. assign V199142 = V419074 - 1. assign V217517 = V383323 - 1. assign V523063 = V679186 + 1. assign V367513 = V936108 - 1. assign V699941 = V779334 - 1. assign V824788 = V523950. assign V397642 = V074085 + 1. assign V523950 = V169784. assign V037765 = V019310. assign V001739 = V419074 + 1. assign V298112 = V968316 + 1. assign V304856 = V354467 - 1. assign V527920 = V367513 + 1. assign V228029 = V710953 - 1. assign V238354 = V199142. assign V813521 = V523950 - 1. assign V282700 = V864834 - 1. assign V427614 = V864834 + 1. assign V390568 = V383968 + 1. assign V960937 = V171861 + 1. assign V992953 = V626146 - 1. assign V453056 = V822586 + 1. assign V021850 = V572368 + 1. assign V419074 = V572368 - 1. assign V484438 = V651679 - 1. assign V968316 = V936108 - 1. assign V189536 = V043751 + 1. assign V777442 = V840757 + 1. assign V706807 = V207332 + 1. assign V199287 = V397642. assign V535454 = V923637 + 1. assign V910936 = V989809 - 1. assign V712794 = V290591 - 1. assign V510040 = V158455 + 1. assign V019310 = V572368 + 1. assign V626146 = V712794 + 1. assign V694626 = V341291 - 1. assign V336215 = V244259 + 1. assign V840757 = V712794 - 1. assign V115986 = V473021 + 1. assign V061055 = V822586 + 1. assign V111315 = V085024. assign V353654 = V326637. assign V819816 = V861982 + 1. assign V326637 = V199142 + 1. assign V292912 = V453056 - 1. assign V837181 = V777442. assign V464072 = V992953 - 1. assign V435317 = V505846 + 1. assign V074085 = V001739 - 1. assign V470200 = V527920 - 1. assign V140541 = V679186. assign V783005 = V751925 + 1. assign V241105 = V140541. assign V717272 = V021850 - 1. assign V804638 = V367513 + 1. assign V679186 = V936108. assign V613132 = V292912. assign V707891 = V572368 + 1. assign V501538 = V103236 + 1. assign V158455 = V527920 - 1. assign V942198 = V043751. assign V106679 = V136889. assign V989809 = V968316 + 1. assign V388225 = V061055 - 1. assign V929944 = V824788 + 1. assign V950274 = V951044 + 1. assign V073940 = V140541 - 1. assign V174912 = V163701 - 1. assign V710953 = V816636 - 1. assign V768582 = V353654 + 1. assign V239817 = V106679 - 1. assign V719022 = V290591. assign V791099 = V886333. assign V047738 = V824457 + 1. assign V383323 = V572368 - 1. assign V103236 = V290591 - 1. assign V861982 = V140541 - 1. assign V851538 = V341291. assign V002447 = V419074 - 1. assign V619723 = V002447 + 1. assign V121529 = V241105 - 1. assign V052182 = V519185 - 1. assign V368373 = V688948. assign V146404 = V615753 - 1. assign V656571 = V936108. assign V649567 = V061055 + 1. assign V374690 = V751925. assign V163701 = V199142. assign V651679 = 2. assign V207332 = V968316. assign V829714 = V019310. assign V133328 = V326637 + 1. assign V043751 = V414562 + 1. assign V082335 = V374690. assign V908289 = V719022. assign V702974 = V505846 + 1. assign V171861 = V021850. assign V538173 = V082335. assign V957288 = V414562 + 1. assign V357637 = V082335. assign V126625 = V882747 + 1. assign V061530 = V082335 - 1. assign V085024 = V133328 - 1. assign V822586 = V679186 - 1. assign V655327 = V106679 + 1. assign V882747 = V523063. assign V069700 = V538173 + 1. assign V951044 = V936108 + 1. assign V779334 = V968316. assign V816636 = V572368 + 1. assign V519185 = V936108 + 1. assign V290591 = V572368 - 1. assign V936108 = V021850 - 1. assign V967302 = V558635 + 1. assign V373260 = V081080 - 1. assign V354467 = V121529. assign V291658 = V383323 + 1. assign V904096 = V435317 - 1. assign V277026 = V290591 + 1. assign V558635 = V519185 - 1. assign V957282 = V081080 - 1. assign V341291 = V816636 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV651679 = 2;\n\nFrom these direct assignment(s), we have: \nV484438 = V651679 - 1 = 2 - 1 =1;\nNo other variables can be derived from V484438;\nNo other variables can be derived from V651679;\n\nNow we have done all the calculations. Derived variables are:\nV651679 = 2;\nV484438 = 1;\n\nNow we have finished this problem. ANSWER:\nV484438\n", "role": "assistant" } ]

[ "V193031", "V188799" ]

[ { "content": "<context>\nassign V254968 = V228522 + 1. assign V478417 = V817087 - 1. assign V283024 = V292920 - 1. assign V961171 = V297336 + 1. assign V803129 = V665807 + 1. assign V188830 = V803129 + 1. assign V934176 = V213085 + 1. assign V796626 = V192483. assign V550641 = V883169. assign V095686 = V292717. assign V363517 = V883169 - 1. assign V158846 = V341576. assign V178308 = V478417 - 1. assign V559084 = V510029 - 1. assign V019116 = V557552. assign V398865 = V883169 - 1. assign V510029 = V019471 - 1. assign V665807 = V818805. assign V046580 = V244468. assign V746938 = V273149 + 1. assign V536272 = V478417 - 1. assign V557552 = V883169 + 1. assign V265477 = V558502. assign V551375 = V851563 - 1. assign V354626 = V719199. assign V499962 = V354626 + 1. assign V878674 = V490475. assign V858267 = V557552. assign V019471 = V244468 + 1. assign V634235 = V673399 - 1. assign V581002 = V566912 + 1. assign V982184 = V876225. assign V941356 = V622375. assign V446536 = V297336. assign V293709 = V265477. assign V016075 = V372167. assign V654693 = V354626 - 1. assign V817087 = V207982 + 1. assign V297336 = V928506 - 1. assign V018944 = V296268. assign V700934 = V883169 - 1. assign V827893 = V283024. assign V111025 = V446517. assign V816434 = V858267 - 1. assign V979195 = V676082. assign V292920 = V840689. assign V330953 = V046580. assign V193031 = 7. assign V436158 = V878674 - 1. assign V585612 = V200026 + 1. assign V353686 = V856695 - 1. assign V846218 = V683376. assign V230557 = V207982 - 1. assign V141947 = V699417. assign V309290 = V446536. assign V575194 = V192483. assign V754129 = V254968 - 1. assign V155470 = V337992 - 1. assign V187055 = V856695. assign V676082 = V506656 - 1. assign V384527 = V706490 - 1. assign V781566 = V407642. assign V242306 = V490475 - 1. assign V823584 = V706490. assign V344492 = V781566 - 1. assign V995149 = V446517. assign V693515 = V484786 + 1. assign V329579 = V417779. assign V407642 = V337992. assign V730130 = V230557 - 1. assign V568753 = V478417 - 1. assign V188799 = V193031. assign V361597 = V398450 + 1. assign V645673 = V436085 + 1. assign V215082 = V840689. assign V301332 = V846218. assign V248249 = V506656. assign V244468 = V566912. assign V337992 = V692918 + 1. assign V301253 = V088424. assign V490475 = V566912 + 1. assign V736997 = V894334 - 1. assign V212181 = V207982. assign V228522 = V835628. assign V025649 = V645673 - 1. assign V088424 = V583486 - 1. assign V893702 = V299199. assign V818659 = V244468. assign V273149 = V818805 - 1. assign V207982 = V490475 + 1. assign V894334 = V389691 + 1. assign V085888 = V645673 + 1. assign V354788 = V309290 + 1. assign V417779 = V856695 + 1. assign V296268 = V835628 - 1. assign V446517 = V557552 + 1. assign V699690 = V801550 + 1. assign V231477 = V856695 + 1. assign V299199 = V557552 + 1. assign V372167 = V265477 + 1. assign V032702 = V961171. assign V583486 = V398865 + 1. assign V558502 = V676082. assign V781413 = V244468 + 1. assign V998015 = V835628 - 1. assign V599386 = V826650 - 1. assign V323159 = V207982 - 1. assign V164739 = V230557 - 1. assign V558887 = V851563 + 1. assign V440896 = V676082 + 1. assign V484786 = V550641 - 1. assign V699417 = V238831 - 1. assign V408489 = V945767 + 1. assign V192483 = V817087 + 1. assign V436085 = V796626 + 1. assign V181035 = V979195. assign V826650 = V417779 + 1. assign V213085 = V207982 - 1. assign V562175 = V301253 + 1. assign V527933 = V883169 + 1. assign V506656 = V883169. assign V692918 = V019471 + 1. assign V195415 = V083450 - 1. assign V801550 = V213085 - 1. assign V292717 = V557552 - 1. assign V851563 = V818805 - 1. assign V788030 = V308517 - 1. assign V873864 = V373897. assign V238831 = V955077 - 1. assign V398450 = V019116 - 1. assign V037005 = V665807. assign V288711 = V673399. assign V498615 = V665807 + 1. assign V102083 = V818659 + 1. assign V889968 = V400033. assign V835628 = V490475 - 1. assign V083450 = V192483 - 1. assign V856695 = V230557 - 1. assign V945767 = V490475. assign V059461 = V527933. assign V972733 = V568753 + 1. assign V199651 = V192483 + 1. assign V683376 = V599386 - 1. assign V341576 = V207982 - 1. assign V400033 = V490475 - 1. assign V448980 = V230557 - 1. assign V883169 = V817087 + 1. assign V389691 = V273149 + 1. assign V370936 = V583486 + 1. assign V791130 = V244468 - 1. assign V719199 = V634235 + 1. assign V429600 = V816434. assign V928506 = V199651 + 1. assign V673399 = V207982. assign V876225 = V840689. assign V382160 = V372167 - 1. assign V955077 = V407642. assign V840689 = V490475. assign V200026 = V292717 + 1. assign V713831 = V398865. assign V317473 = V955077. assign V041801 = V796626 + 1. assign V713714 = V498615. assign V695295 = V575194 - 1. assign V191587 = V238831 + 1. assign V308517 = V019116. assign V622375 = V858267 + 1. assign V706490 = V835628 + 1. assign V818805 = V835628 + 1. assign V373897 = V354626. assign V830832 = V440896 + 1. assign V322250 = V354626.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V254968 = V228522 + 1. assign V478417 = V817087 - 1. assign V283024 = V292920 - 1. assign V961171 = V297336 + 1. assign V803129 = V665807 + 1. assign V188830 = V803129 + 1. assign V934176 = V213085 + 1. assign V796626 = V192483. assign V550641 = V883169. assign V095686 = V292717. assign V363517 = V883169 - 1. assign V158846 = V341576. assign V178308 = V478417 - 1. assign V559084 = V510029 - 1. assign V019116 = V557552. assign V398865 = V883169 - 1. assign V510029 = V019471 - 1. assign V665807 = V818805. assign V046580 = V244468. assign V746938 = V273149 + 1. assign V536272 = V478417 - 1. assign V557552 = V883169 + 1. assign V265477 = V558502. assign V551375 = V851563 - 1. assign V354626 = V719199. assign V499962 = V354626 + 1. assign V878674 = V490475. assign V858267 = V557552. assign V019471 = V244468 + 1. assign V634235 = V673399 - 1. assign V581002 = V566912 + 1. assign V982184 = V876225. assign V941356 = V622375. assign V446536 = V297336. assign V293709 = V265477. assign V016075 = V372167. assign V654693 = V354626 - 1. assign V817087 = V207982 + 1. assign V297336 = V928506 - 1. assign V018944 = V296268. assign V700934 = V883169 - 1. assign V827893 = V283024. assign V111025 = V446517. assign V816434 = V858267 - 1. assign V979195 = V676082. assign V292920 = V840689. assign V330953 = V046580. assign V193031 = 7. assign V436158 = V878674 - 1. assign V585612 = V200026 + 1. assign V353686 = V856695 - 1. assign V846218 = V683376. assign V230557 = V207982 - 1. assign V141947 = V699417. assign V309290 = V446536. assign V575194 = V192483. assign V754129 = V254968 - 1. assign V155470 = V337992 - 1. assign V187055 = V856695. assign V676082 = V506656 - 1. assign V384527 = V706490 - 1. assign V781566 = V407642. assign V242306 = V490475 - 1. assign V823584 = V706490. assign V344492 = V781566 - 1. assign V995149 = V446517. assign V693515 = V484786 + 1. assign V329579 = V417779. assign V407642 = V337992. assign V730130 = V230557 - 1. assign V568753 = V478417 - 1. assign V188799 = V193031. assign V361597 = V398450 + 1. assign V645673 = V436085 + 1. assign V215082 = V840689. assign V301332 = V846218. assign V248249 = V506656. assign V244468 = V566912. assign V337992 = V692918 + 1. assign V301253 = V088424. assign V490475 = V566912 + 1. assign V736997 = V894334 - 1. assign V212181 = V207982. assign V228522 = V835628. assign V025649 = V645673 - 1. assign V088424 = V583486 - 1. assign V893702 = V299199. assign V818659 = V244468. assign V273149 = V818805 - 1. assign V207982 = V490475 + 1. assign V894334 = V389691 + 1. assign V085888 = V645673 + 1. assign V354788 = V309290 + 1. assign V417779 = V856695 + 1. assign V296268 = V835628 - 1. assign V446517 = V557552 + 1. assign V699690 = V801550 + 1. assign V231477 = V856695 + 1. assign V299199 = V557552 + 1. assign V372167 = V265477 + 1. assign V032702 = V961171. assign V583486 = V398865 + 1. assign V558502 = V676082. assign V781413 = V244468 + 1. assign V998015 = V835628 - 1. assign V599386 = V826650 - 1. assign V323159 = V207982 - 1. assign V164739 = V230557 - 1. assign V558887 = V851563 + 1. assign V440896 = V676082 + 1. assign V484786 = V550641 - 1. assign V699417 = V238831 - 1. assign V408489 = V945767 + 1. assign V192483 = V817087 + 1. assign V436085 = V796626 + 1. assign V181035 = V979195. assign V826650 = V417779 + 1. assign V213085 = V207982 - 1. assign V562175 = V301253 + 1. assign V527933 = V883169 + 1. assign V506656 = V883169. assign V692918 = V019471 + 1. assign V195415 = V083450 - 1. assign V801550 = V213085 - 1. assign V292717 = V557552 - 1. assign V851563 = V818805 - 1. assign V788030 = V308517 - 1. assign V873864 = V373897. assign V238831 = V955077 - 1. assign V398450 = V019116 - 1. assign V037005 = V665807. assign V288711 = V673399. assign V498615 = V665807 + 1. assign V102083 = V818659 + 1. assign V889968 = V400033. assign V835628 = V490475 - 1. assign V083450 = V192483 - 1. assign V856695 = V230557 - 1. assign V945767 = V490475. assign V059461 = V527933. assign V972733 = V568753 + 1. assign V199651 = V192483 + 1. assign V683376 = V599386 - 1. assign V341576 = V207982 - 1. assign V400033 = V490475 - 1. assign V448980 = V230557 - 1. assign V883169 = V817087 + 1. assign V389691 = V273149 + 1. assign V370936 = V583486 + 1. assign V791130 = V244468 - 1. assign V719199 = V634235 + 1. assign V429600 = V816434. assign V928506 = V199651 + 1. assign V673399 = V207982. assign V876225 = V840689. assign V382160 = V372167 - 1. assign V955077 = V407642. assign V840689 = V490475. assign V200026 = V292717 + 1. assign V713831 = V398865. assign V317473 = V955077. assign V041801 = V796626 + 1. assign V713714 = V498615. assign V695295 = V575194 - 1. assign V191587 = V238831 + 1. assign V308517 = V019116. assign V622375 = V858267 + 1. assign V706490 = V835628 + 1. assign V818805 = V835628 + 1. assign V373897 = V354626. assign V830832 = V440896 + 1. assign V322250 = V354626.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV193031 = 7;\n\nFrom these direct assignment(s), we have: \nV188799 = V193031 = 7;\nNo other variables can be derived from V188799;\nNo other variables can be derived from V193031;\n\nNow we have done all the calculations. Derived variables are:\nV193031 = 7;\nV188799 = 7;\n\nNow we have finished this problem. ANSWER:\nV193031, V188799\n", "role": "assistant" } ]

[ "V902906" ]

[ { "content": "<context>\nassign V893838 = V033691 - 1. assign V034324 = V566956 + 1. assign V183124 = V941747. assign V737404 = V847918 + 1. assign V036251 = V492856 - 1. assign V028112 = V630400 - 1. assign V558289 = V748624. assign V472631 = V255495 + 1. assign V671807 = V528986 - 1. assign V319740 = V062380 + 1. assign V769836 = V446284 - 1. assign V883375 = V376542. assign V163455 = V528986 + 1. assign V663873 = V529669 + 1. assign V461684 = V771690 - 1. assign V197727 = V998185. assign V231710 = V774250 - 1. assign V849241 = V664881 + 1. assign V422714 = V854009 + 1. assign V847918 = V849241. assign V319050 = V589858 - 1. assign V033691 = V701224 + 1. assign V015658 = V511850 - 1. assign V106902 = V463982 - 1. assign V447145 = V558289 + 1. assign V063347 = V558289 - 1. assign V592471 = V694585 + 1. assign V654728 = V630400 - 1. assign V444453 = V593246 - 1. assign V854947 = V615298 + 1. assign V376542 = V476744. assign V945575 = V625957 + 1. assign V722721 = V592471 + 1. assign V116376 = V630400. assign V063850 = V497346 - 1. assign V693615 = V673065. assign V162210 = V529669 - 1. assign V231861 = V635761 - 1. assign V112263 = V057608 + 1. assign V634873 = V800477. assign V472300 = V446284 + 1. assign V566956 = V847918. assign V756384 = V033691 + 1. assign V161184 = V425955 + 1. assign V260968 = V469852 + 1. assign V069052 = V566956. assign V206406 = V069052 + 1. assign V935719 = V206012 + 1. assign V532299 = V805981 + 1. assign V085918 = V469852 + 1. assign V593246 = V376542 + 1. assign V947411 = V828072 + 1. assign V426706 = V747231. assign V615298 = V124973 + 1. assign V868337 = V585369. assign V108876 = V384128 + 1. assign V701224 = V769836 - 1. assign V219757 = V162210 + 1. assign V938464 = V774250. assign V588407 = V476744 - 1. assign V635761 = V376542 - 1. assign V333571 = V198869 - 1. assign V722157 = V062380 - 1. assign V460279 = V558289. assign V062380 = V492856. assign V211441 = V899370 + 1. assign V034430 = V492856 - 1. assign V112336 = V206406. assign V463982 = V425955 + 1. assign V219104 = V689536. assign V406025 = V034324 + 1. assign V469852 = V172894 - 1. assign V489719 = V847918 + 1. assign V886997 = V028112 + 1. assign V069300 = V172894 - 1. assign V425955 = V840568 + 1. assign V360918 = V124973. assign V899370 = V034430 + 1. assign V581713 = V124973 + 1. assign V439029 = V971546 + 1. assign V748624 = V769836 - 1. assign V779866 = V701224 - 1. assign V511850 = V069300 + 1. assign V919973 = V643026. assign V854009 = V769836 - 1. assign V497346 = V489719. assign V255160 = V808694. assign V440648 = V958933. assign V080840 = V124973. assign V390486 = V069300 + 1. assign V075326 = V998185. assign V902906 = 9. assign V446284 = V664881 + 1. assign V587234 = V919973 + 1. assign V102980 = V673065 - 1. assign V070535 = V693615 - 1. assign V206012 = V830167 + 1. assign V812150 = V805981. assign V498751 = V171577 - 1. assign V154882 = V446284 + 1. assign V998185 = V635761 - 1. assign V463162 = V492856 - 1. assign V625957 = V849241. assign V958933 = V255160 - 1. assign V606766 = V902906 + 1. assign V805981 = V847918. assign V589858 = V497346 + 1. assign V880777 = V463162 - 1. assign V723013 = V206406 + 1. assign V551247 = V868337. assign V689536 = V849241 - 1. assign V124973 = V849241. assign V694585 = V463162 + 1. assign V710381 = V446284 - 1. assign V517647 = V589858 + 1. assign V529403 = V069300 + 1. assign V944487 = V748624. assign V673065 = V566956 + 1. assign V917515 = V260968 + 1. assign V492856 = V446284 - 1. assign V015153 = V837155 + 1. assign V716912 = V463162 - 1. assign V852551 = V382160 + 1. assign V837155 = V398702 + 1. assign V114859 = V112263. assign V327191 = V630400. assign V256747 = V211441. assign V800477 = V893838 + 1. assign V928121 = V689536 - 1. assign V867130 = V327191 + 1. assign V057608 = V460279 - 1. assign V747231 = V945575. assign V771690 = V849241 - 1. assign V051893 = V899370 + 1. assign V679463 = V390486 - 1. assign V350591 = V498751. assign V133281 = V033691. assign V989844 = V124973 + 1. assign V971546 = V679463. assign V255495 = V592471 - 1. assign V171577 = V800477 + 1. assign V621798 = V469852 + 1. assign V528986 = V854009 - 1. assign V172894 = V805981 + 1. assign V283143 = V716912. assign V835194 = V376542 - 1. assign V808694 = V492856. assign V198869 = V124973. assign V384128 = V671807. assign V894106 = V840568 - 1. assign V907385 = V133281 - 1. assign V476744 = V828072 - 1. assign V941747 = V069052 + 1. assign V643026 = V779866. assign V917667 = V469852 - 1. assign V529669 = V206012 + 1. assign V398702 = V446284 - 1. assign V840568 = V847918 + 1. assign V382160 = V634873 - 1. assign V830167 = V701224. assign V828072 = V769836 - 1. assign V726693 = V689536 + 1. assign V313578 = V812150. assign V630400 = V840568 - 1. assign V028308 = V219104 - 1. assign V983026 = V529403 - 1. assign V040156 = V425955 + 1. assign V774250 = V689536 - 1. assign V863970 = V983026. assign V795577 = V469852 + 1. assign V959180 = V589858 + 1. assign V585369 = V206406 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V893838 = V033691 - 1. assign V034324 = V566956 + 1. assign V183124 = V941747. assign V737404 = V847918 + 1. assign V036251 = V492856 - 1. assign V028112 = V630400 - 1. assign V558289 = V748624. assign V472631 = V255495 + 1. assign V671807 = V528986 - 1. assign V319740 = V062380 + 1. assign V769836 = V446284 - 1. assign V883375 = V376542. assign V163455 = V528986 + 1. assign V663873 = V529669 + 1. assign V461684 = V771690 - 1. assign V197727 = V998185. assign V231710 = V774250 - 1. assign V849241 = V664881 + 1. assign V422714 = V854009 + 1. assign V847918 = V849241. assign V319050 = V589858 - 1. assign V033691 = V701224 + 1. assign V015658 = V511850 - 1. assign V106902 = V463982 - 1. assign V447145 = V558289 + 1. assign V063347 = V558289 - 1. assign V592471 = V694585 + 1. assign V654728 = V630400 - 1. assign V444453 = V593246 - 1. assign V854947 = V615298 + 1. assign V376542 = V476744. assign V945575 = V625957 + 1. assign V722721 = V592471 + 1. assign V116376 = V630400. assign V063850 = V497346 - 1. assign V693615 = V673065. assign V162210 = V529669 - 1. assign V231861 = V635761 - 1. assign V112263 = V057608 + 1. assign V634873 = V800477. assign V472300 = V446284 + 1. assign V566956 = V847918. assign V756384 = V033691 + 1. assign V161184 = V425955 + 1. assign V260968 = V469852 + 1. assign V069052 = V566956. assign V206406 = V069052 + 1. assign V935719 = V206012 + 1. assign V532299 = V805981 + 1. assign V085918 = V469852 + 1. assign V593246 = V376542 + 1. assign V947411 = V828072 + 1. assign V426706 = V747231. assign V615298 = V124973 + 1. assign V868337 = V585369. assign V108876 = V384128 + 1. assign V701224 = V769836 - 1. assign V219757 = V162210 + 1. assign V938464 = V774250. assign V588407 = V476744 - 1. assign V635761 = V376542 - 1. assign V333571 = V198869 - 1. assign V722157 = V062380 - 1. assign V460279 = V558289. assign V062380 = V492856. assign V211441 = V899370 + 1. assign V034430 = V492856 - 1. assign V112336 = V206406. assign V463982 = V425955 + 1. assign V219104 = V689536. assign V406025 = V034324 + 1. assign V469852 = V172894 - 1. assign V489719 = V847918 + 1. assign V886997 = V028112 + 1. assign V069300 = V172894 - 1. assign V425955 = V840568 + 1. assign V360918 = V124973. assign V899370 = V034430 + 1. assign V581713 = V124973 + 1. assign V439029 = V971546 + 1. assign V748624 = V769836 - 1. assign V779866 = V701224 - 1. assign V511850 = V069300 + 1. assign V919973 = V643026. assign V854009 = V769836 - 1. assign V497346 = V489719. assign V255160 = V808694. assign V440648 = V958933. assign V080840 = V124973. assign V390486 = V069300 + 1. assign V075326 = V998185. assign V902906 = 9. assign V446284 = V664881 + 1. assign V587234 = V919973 + 1. assign V102980 = V673065 - 1. assign V070535 = V693615 - 1. assign V206012 = V830167 + 1. assign V812150 = V805981. assign V498751 = V171577 - 1. assign V154882 = V446284 + 1. assign V998185 = V635761 - 1. assign V463162 = V492856 - 1. assign V625957 = V849241. assign V958933 = V255160 - 1. assign V606766 = V902906 + 1. assign V805981 = V847918. assign V589858 = V497346 + 1. assign V880777 = V463162 - 1. assign V723013 = V206406 + 1. assign V551247 = V868337. assign V689536 = V849241 - 1. assign V124973 = V849241. assign V694585 = V463162 + 1. assign V710381 = V446284 - 1. assign V517647 = V589858 + 1. assign V529403 = V069300 + 1. assign V944487 = V748624. assign V673065 = V566956 + 1. assign V917515 = V260968 + 1. assign V492856 = V446284 - 1. assign V015153 = V837155 + 1. assign V716912 = V463162 - 1. assign V852551 = V382160 + 1. assign V837155 = V398702 + 1. assign V114859 = V112263. assign V327191 = V630400. assign V256747 = V211441. assign V800477 = V893838 + 1. assign V928121 = V689536 - 1. assign V867130 = V327191 + 1. assign V057608 = V460279 - 1. assign V747231 = V945575. assign V771690 = V849241 - 1. assign V051893 = V899370 + 1. assign V679463 = V390486 - 1. assign V350591 = V498751. assign V133281 = V033691. assign V989844 = V124973 + 1. assign V971546 = V679463. assign V255495 = V592471 - 1. assign V171577 = V800477 + 1. assign V621798 = V469852 + 1. assign V528986 = V854009 - 1. assign V172894 = V805981 + 1. assign V283143 = V716912. assign V835194 = V376542 - 1. assign V808694 = V492856. assign V198869 = V124973. assign V384128 = V671807. assign V894106 = V840568 - 1. assign V907385 = V133281 - 1. assign V476744 = V828072 - 1. assign V941747 = V069052 + 1. assign V643026 = V779866. assign V917667 = V469852 - 1. assign V529669 = V206012 + 1. assign V398702 = V446284 - 1. assign V840568 = V847918 + 1. assign V382160 = V634873 - 1. assign V830167 = V701224. assign V828072 = V769836 - 1. assign V726693 = V689536 + 1. assign V313578 = V812150. assign V630400 = V840568 - 1. assign V028308 = V219104 - 1. assign V983026 = V529403 - 1. assign V040156 = V425955 + 1. assign V774250 = V689536 - 1. assign V863970 = V983026. assign V795577 = V469852 + 1. assign V959180 = V589858 + 1. assign V585369 = V206406 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV902906 = 9;\n\nFrom these direct assignment(s), we have: \nV606766 = V902906 + 1 = 9 + 1 =10;\nNo other variables can be derived from V606766;\nNo other variables can be derived from V902906;\n\nNow we have done all the calculations. Derived variables are:\nV902906 = 9;\nV606766 = 10;\n\nNow we have finished this problem. ANSWER:\nV902906\n", "role": "assistant" } ]

[ "V024548" ]

[ { "content": "<context>\nassign V839758 = V609259. assign V253529 = V531265 - 1. assign V380372 = V374087. assign V094109 = V354394 - 1. assign V994715 = V593189 + 1. assign V554026 = V346196 - 1. assign V846019 = V252263. assign V132443 = V722492 - 1. assign V146134 = V609259 + 1. assign V484201 = V252263 + 1. assign V697842 = V593189 - 1. assign V147342 = V496765. assign V189369 = V241398 - 1. assign V934090 = V361173. assign V564666 = V508342 - 1. assign V335195 = V432277 + 1. assign V331101 = V652764. assign V982097 = V248344 + 1. assign V979491 = V194130 + 1. assign V677611 = V346196. assign V159673 = V194338. assign V991218 = V761190. assign V382325 = V258071. assign V732301 = V511865 + 1. assign V873319 = V609259. assign V167077 = V564666. assign V671153 = V072539. assign V880196 = V671153 - 1. assign V168187 = V994715 - 1. assign V241873 = V980781 + 1. assign V156755 = V652764 + 1. assign V192408 = V531265 + 1. assign V122252 = V189369. assign V633927 = V199523 - 1. assign V838663 = V199523. assign V286269 = V252263 - 1. assign V098455 = V194130. assign V289633 = V179465 + 1. assign V803725 = V508342 + 1. assign V556994 = V192408 + 1. assign V652764 = V511865. assign V256277 = V872500 - 1. assign V469341 = V531265. assign V248344 = V609259. assign V191590 = V469341 + 1. assign V179465 = V017578 - 1. assign V939161 = V295544. assign V194253 = V258071 + 1. assign V511865 = V609259 - 1. assign V980781 = V593189 + 1. assign V543326 = V593189. assign V282625 = V184417 + 1. assign V858029 = V484201 + 1. assign V212394 = V862820. assign V722492 = V189369 + 1. assign V296725 = V194130. assign V847635 = V508342 + 1. assign V476554 = V126395. assign V194338 = V192408 + 1. assign V761190 = V174606. assign V977723 = V424881 - 1. assign V976379 = V535974. assign V508342 = V192408. assign V862820 = V697842 + 1. assign V281824 = V671153 - 1. assign V269317 = V531265. assign V743538 = V126395 + 1. assign V387926 = V024548 - 1. assign V109493 = V495042 + 1. assign V461006 = V496765. assign V465672 = V508342 - 1. assign V479696 = V334080. assign V521920 = V531265 - 1. assign V606903 = V461006. assign V838186 = V880196 - 1. assign V361173 = V671153 + 1. assign V523307 = V346196. assign V776504 = V261629. assign V100663 = V189369. assign V470744 = V556994 - 1. assign V152223 = V609259 - 1. assign V026654 = V194253 - 1. assign V374087 = V873319. assign V346196 = V531265. assign V530069 = V361173 - 1. assign V883156 = V469341 + 1. assign V591631 = V731117 - 1. assign V701391 = V531265 - 1. assign V043363 = V380372 - 1. assign V661956 = V195255 + 1. assign V708067 = V722492 - 1. assign V646468 = V465672. assign V470380 = V192408. assign V745262 = V168187. assign V449429 = V621155 + 1. assign V079400 = V241398 - 1. assign V535974 = V380372. assign V139290 = V194338 - 1. assign V872500 = V170879 + 1. assign V976538 = V174606 + 1. assign V176923 = V646468 + 1. assign V361962 = V138349 + 1. assign V597145 = V469341. assign V600823 = V496765 - 1. assign V333809 = V194338. assign V544084 = V980781 - 1. assign V072539 = V241398 - 1. assign V546608 = V159673. assign V252263 = V465672. assign V798707 = V088971 - 1. assign V194130 = V511865. assign V955916 = V731117 + 1. assign V914184 = V593189 - 1. assign V017578 = V609259 + 1. assign V919755 = V170879. assign V024548 = 5. assign V826524 = V189369. assign V459426 = V059909 - 1. assign V782581 = V295544 + 1. assign V138349 = V295544 + 1. assign V249901 = V671153 - 1. assign V294563 = V873319. assign V323249 = V139290. assign V567813 = V465672 - 1. assign V432277 = V600883 + 1. assign V237063 = V535974. assign V199523 = V088971 + 1. assign V452342 = V256277 + 1. assign V241398 = V374087 + 1. assign V258071 = V241398 + 1. assign V612744 = V323249. assign V930720 = V873319 + 1. assign V593189 = V248344 - 1. assign V048188 = V470380 - 1. assign V222409 = V241398 - 1. assign V682168 = V194253 + 1. assign V354394 = V241398. assign V195255 = V194338 + 1. assign V618208 = V189369 + 1. assign V295544 = V380372 - 1. assign V495042 = V701391. assign V174606 = V295544 + 1. assign V530077 = V138349. assign V424881 = V618208 - 1. assign V227037 = V048188 + 1. assign V170879 = V776504 - 1. assign V261629 = V380372 - 1. assign V088971 = V295544 - 1. assign V696185 = V683101. assign V531265 = V374087 + 1. assign V731117 = V346196 + 1. assign V233398 = V100663 + 1. assign V131631 = V176923. assign V819938 = V199523. assign V629387 = V609259 + 1. assign V600883 = V354394 - 1. assign V954980 = V416354. assign V285250 = V261629 - 1. assign V621155 = V722492. assign V567666 = V521920 + 1. assign V683101 = V269317 + 1. assign V334080 = V380372. assign V416354 = V862820 + 1. assign V496765 = V531265. assign V405050 = V043363. assign V126395 = V159673 - 1. assign V631469 = V405050. assign V396535 = V052248. assign V052248 = V496765 - 1. assign V184417 = V697842. assign V059909 = V248344 - 1. assign V291251 = V374087.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V839758 = V609259. assign V253529 = V531265 - 1. assign V380372 = V374087. assign V094109 = V354394 - 1. assign V994715 = V593189 + 1. assign V554026 = V346196 - 1. assign V846019 = V252263. assign V132443 = V722492 - 1. assign V146134 = V609259 + 1. assign V484201 = V252263 + 1. assign V697842 = V593189 - 1. assign V147342 = V496765. assign V189369 = V241398 - 1. assign V934090 = V361173. assign V564666 = V508342 - 1. assign V335195 = V432277 + 1. assign V331101 = V652764. assign V982097 = V248344 + 1. assign V979491 = V194130 + 1. assign V677611 = V346196. assign V159673 = V194338. assign V991218 = V761190. assign V382325 = V258071. assign V732301 = V511865 + 1. assign V873319 = V609259. assign V167077 = V564666. assign V671153 = V072539. assign V880196 = V671153 - 1. assign V168187 = V994715 - 1. assign V241873 = V980781 + 1. assign V156755 = V652764 + 1. assign V192408 = V531265 + 1. assign V122252 = V189369. assign V633927 = V199523 - 1. assign V838663 = V199523. assign V286269 = V252263 - 1. assign V098455 = V194130. assign V289633 = V179465 + 1. assign V803725 = V508342 + 1. assign V556994 = V192408 + 1. assign V652764 = V511865. assign V256277 = V872500 - 1. assign V469341 = V531265. assign V248344 = V609259. assign V191590 = V469341 + 1. assign V179465 = V017578 - 1. assign V939161 = V295544. assign V194253 = V258071 + 1. assign V511865 = V609259 - 1. assign V980781 = V593189 + 1. assign V543326 = V593189. assign V282625 = V184417 + 1. assign V858029 = V484201 + 1. assign V212394 = V862820. assign V722492 = V189369 + 1. assign V296725 = V194130. assign V847635 = V508342 + 1. assign V476554 = V126395. assign V194338 = V192408 + 1. assign V761190 = V174606. assign V977723 = V424881 - 1. assign V976379 = V535974. assign V508342 = V192408. assign V862820 = V697842 + 1. assign V281824 = V671153 - 1. assign V269317 = V531265. assign V743538 = V126395 + 1. assign V387926 = V024548 - 1. assign V109493 = V495042 + 1. assign V461006 = V496765. assign V465672 = V508342 - 1. assign V479696 = V334080. assign V521920 = V531265 - 1. assign V606903 = V461006. assign V838186 = V880196 - 1. assign V361173 = V671153 + 1. assign V523307 = V346196. assign V776504 = V261629. assign V100663 = V189369. assign V470744 = V556994 - 1. assign V152223 = V609259 - 1. assign V026654 = V194253 - 1. assign V374087 = V873319. assign V346196 = V531265. assign V530069 = V361173 - 1. assign V883156 = V469341 + 1. assign V591631 = V731117 - 1. assign V701391 = V531265 - 1. assign V043363 = V380372 - 1. assign V661956 = V195255 + 1. assign V708067 = V722492 - 1. assign V646468 = V465672. assign V470380 = V192408. assign V745262 = V168187. assign V449429 = V621155 + 1. assign V079400 = V241398 - 1. assign V535974 = V380372. assign V139290 = V194338 - 1. assign V872500 = V170879 + 1. assign V976538 = V174606 + 1. assign V176923 = V646468 + 1. assign V361962 = V138349 + 1. assign V597145 = V469341. assign V600823 = V496765 - 1. assign V333809 = V194338. assign V544084 = V980781 - 1. assign V072539 = V241398 - 1. assign V546608 = V159673. assign V252263 = V465672. assign V798707 = V088971 - 1. assign V194130 = V511865. assign V955916 = V731117 + 1. assign V914184 = V593189 - 1. assign V017578 = V609259 + 1. assign V919755 = V170879. assign V024548 = 5. assign V826524 = V189369. assign V459426 = V059909 - 1. assign V782581 = V295544 + 1. assign V138349 = V295544 + 1. assign V249901 = V671153 - 1. assign V294563 = V873319. assign V323249 = V139290. assign V567813 = V465672 - 1. assign V432277 = V600883 + 1. assign V237063 = V535974. assign V199523 = V088971 + 1. assign V452342 = V256277 + 1. assign V241398 = V374087 + 1. assign V258071 = V241398 + 1. assign V612744 = V323249. assign V930720 = V873319 + 1. assign V593189 = V248344 - 1. assign V048188 = V470380 - 1. assign V222409 = V241398 - 1. assign V682168 = V194253 + 1. assign V354394 = V241398. assign V195255 = V194338 + 1. assign V618208 = V189369 + 1. assign V295544 = V380372 - 1. assign V495042 = V701391. assign V174606 = V295544 + 1. assign V530077 = V138349. assign V424881 = V618208 - 1. assign V227037 = V048188 + 1. assign V170879 = V776504 - 1. assign V261629 = V380372 - 1. assign V088971 = V295544 - 1. assign V696185 = V683101. assign V531265 = V374087 + 1. assign V731117 = V346196 + 1. assign V233398 = V100663 + 1. assign V131631 = V176923. assign V819938 = V199523. assign V629387 = V609259 + 1. assign V600883 = V354394 - 1. assign V954980 = V416354. assign V285250 = V261629 - 1. assign V621155 = V722492. assign V567666 = V521920 + 1. assign V683101 = V269317 + 1. assign V334080 = V380372. assign V416354 = V862820 + 1. assign V496765 = V531265. assign V405050 = V043363. assign V126395 = V159673 - 1. assign V631469 = V405050. assign V396535 = V052248. assign V052248 = V496765 - 1. assign V184417 = V697842. assign V059909 = V248344 - 1. assign V291251 = V374087.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV024548 = 5;\n\nFrom these direct assignment(s), we have: \nV387926 = V024548 - 1 = 5 - 1 =4;\nNo other variables can be derived from V387926;\nNo other variables can be derived from V024548;\n\nNow we have done all the calculations. Derived variables are:\nV024548 = 5;\nV387926 = 4;\n\nNow we have finished this problem. ANSWER:\nV024548\n", "role": "assistant" } ]

[ "V353769" ]

[ { "content": "<context>\nassign V740074 = V965132. assign V805646 = V307932 - 1. assign V835409 = V584649. assign V030873 = V331319 + 1. assign V150958 = V178506 - 1. assign V060890 = V082581. assign V605087 = V449551 + 1. assign V709085 = V856831 - 1. assign V092606 = V712576 - 1. assign V855765 = V283323 + 1. assign V283323 = V492685 + 1. assign V257171 = V178478. assign V379381 = V057304 - 1. assign V153741 = V049632 + 1. assign V421631 = V856831. assign V250203 = V153290 + 1. assign V566678 = V192739 - 1. assign V207501 = V886309 + 1. assign V399551 = V952043. assign V965132 = V977549 - 1. assign V985880 = V977549 - 1. assign V856831 = V212050. assign V775949 = V788969 - 1. assign V462415 = V390991 + 1. assign V149928 = V860526 + 1. assign V609906 = V212050. assign V693425 = V740074 - 1. assign V808542 = V748990 - 1. assign V819732 = V377969 + 1. assign V041230 = V980943 - 1. assign V141186 = V319069. assign V476539 = V590585 + 1. assign V037363 = V952043 - 1. assign V956879 = V283323 - 1. assign V819749 = V885640. assign V260275 = V889573 - 1. assign V125256 = V237443. assign V657601 = V382772 - 1. assign V197301 = V956879 - 1. assign V331319 = V476539 - 1. assign V299228 = V766642 + 1. assign V066957 = V283323. assign V875225 = V370384 - 1. assign V674553 = V390991. assign V319069 = V798151 - 1. assign V332404 = V075225 - 1. assign V365466 = V082581. assign V930694 = V566678. assign V826074 = V668267 + 1. assign V860526 = V319069 - 1. assign V977549 = V283323. assign V206220 = V149928 - 1. assign V582543 = V192739. assign V013309 = V257171 + 1. assign V192739 = V057304 + 1. assign V023022 = V399551 + 1. assign V886571 = V467606 - 1. assign V272145 = V057304 - 1. assign V875622 = V049632. assign V186290 = V037363 + 1. assign V135641 = V125256 + 1. assign V870036 = V952043 - 1. assign V419833 = V319069. assign V754263 = V609906. assign V769057 = V668267 + 1. assign V916111 = V178478 + 1. assign V166602 = V553362. assign V576750 = V115255. assign V278106 = V178478 + 1. assign V457721 = V886309 - 1. assign V178506 = V860526 + 1. assign V005521 = V283323. assign V561754 = V457721. assign V712576 = V870036 - 1. assign V619533 = V178506. assign V268215 = V020248. assign V404034 = V916111 + 1. assign V748990 = V278106 + 1. assign V721075 = V390991. assign V565468 = V773748 + 1. assign V746116 = V192739 - 1. assign V757072 = V819732 - 1. assign V904602 = V693425. assign V120224 = V073858 - 1. assign V973188 = V377969 - 1. assign V212104 = V283323 + 1. assign V055412 = V278106 - 1. assign V553362 = V092606 + 1. assign V507396 = V272145 - 1. assign V889573 = V527453. assign V668267 = V237443 + 1. assign V383860 = V357358 - 1. assign V606505 = V353769 - 1. assign V943542 = V257171 - 1. assign V098559 = V804876. assign V377969 = V856831 + 1. assign V073858 = V467606. assign V492685 = V798151 + 1. assign V061157 = V507295 + 1. assign V187472 = V507295 + 1. assign V481175 = V245313. assign V491835 = V476539 + 1. assign V398125 = V082581 - 1. assign V029191 = V421631. assign V370384 = V916111. assign V507295 = V856831. assign V750243 = V930694. assign V952043 = V847762 - 1. assign V425620 = V740074 - 1. assign V375403 = V956879 - 1. assign V115255 = V452662 - 1. assign V839007 = V847762 - 1. assign V980943 = V055917. assign V759656 = V382772. assign V288630 = V759656 - 1. assign V651320 = V452662 + 1. assign V228113 = V566678 - 1. assign V021382 = V370384 - 1. assign V517876 = V766642. assign V885640 = V390991. assign V469261 = V668267. assign V153014 = V856831. assign V230592 = V657601. assign V584649 = V482024 + 1. assign V987022 = V624229. assign V711406 = V624229 + 1. assign V559041 = V952043 - 1. assign V886309 = V977549 - 1. assign V448099 = V370384 - 1. assign V863590 = V357358 + 1. assign V467606 = V855765. assign V212050 = V798151 + 1. assign V237443 = V835409. assign V082581 = V609906. assign V055917 = V377969. assign V153159 = V270617 + 1. assign V590585 = V278106. assign V452662 = V092606 + 1. assign V150726 = V237443 + 1. assign V527453 = V826265. assign V057304 = V798151. assign V519693 = V066957 + 1. assign V624229 = V773748 + 1. assign V275570 = V519693 + 1. assign V804876 = V020248 - 1. assign V245313 = V283323 + 1. assign V773748 = V775949. assign V869731 = V856831. assign V093156 = V192739 + 1. assign V153290 = V288630. assign V940964 = V419833. assign V390991 = V283323. assign V788969 = V272145 - 1. assign V178478 = V952043 - 1. assign V020248 = V847762 - 1. assign V382772 = V798151. assign V307932 = V150958. assign V847762 = V798151. assign V678927 = V404034 - 1. assign V353769 = 10. assign V303833 = V115255. assign V270617 = V856831 + 1. assign V182146 = V375403 - 1. assign V049632 = V952043 - 1. assign V111492 = V566678 + 1. assign V766642 = V377969. assign V449551 = V020248. assign V482024 = V283323 + 1. assign V826265 = V952043. assign V075225 = V178506 - 1. assign V534953 = V559041. assign V357358 = V566678 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V740074 = V965132. assign V805646 = V307932 - 1. assign V835409 = V584649. assign V030873 = V331319 + 1. assign V150958 = V178506 - 1. assign V060890 = V082581. assign V605087 = V449551 + 1. assign V709085 = V856831 - 1. assign V092606 = V712576 - 1. assign V855765 = V283323 + 1. assign V283323 = V492685 + 1. assign V257171 = V178478. assign V379381 = V057304 - 1. assign V153741 = V049632 + 1. assign V421631 = V856831. assign V250203 = V153290 + 1. assign V566678 = V192739 - 1. assign V207501 = V886309 + 1. assign V399551 = V952043. assign V965132 = V977549 - 1. assign V985880 = V977549 - 1. assign V856831 = V212050. assign V775949 = V788969 - 1. assign V462415 = V390991 + 1. assign V149928 = V860526 + 1. assign V609906 = V212050. assign V693425 = V740074 - 1. assign V808542 = V748990 - 1. assign V819732 = V377969 + 1. assign V041230 = V980943 - 1. assign V141186 = V319069. assign V476539 = V590585 + 1. assign V037363 = V952043 - 1. assign V956879 = V283323 - 1. assign V819749 = V885640. assign V260275 = V889573 - 1. assign V125256 = V237443. assign V657601 = V382772 - 1. assign V197301 = V956879 - 1. assign V331319 = V476539 - 1. assign V299228 = V766642 + 1. assign V066957 = V283323. assign V875225 = V370384 - 1. assign V674553 = V390991. assign V319069 = V798151 - 1. assign V332404 = V075225 - 1. assign V365466 = V082581. assign V930694 = V566678. assign V826074 = V668267 + 1. assign V860526 = V319069 - 1. assign V977549 = V283323. assign V206220 = V149928 - 1. assign V582543 = V192739. assign V013309 = V257171 + 1. assign V192739 = V057304 + 1. assign V023022 = V399551 + 1. assign V886571 = V467606 - 1. assign V272145 = V057304 - 1. assign V875622 = V049632. assign V186290 = V037363 + 1. assign V135641 = V125256 + 1. assign V870036 = V952043 - 1. assign V419833 = V319069. assign V754263 = V609906. assign V769057 = V668267 + 1. assign V916111 = V178478 + 1. assign V166602 = V553362. assign V576750 = V115255. assign V278106 = V178478 + 1. assign V457721 = V886309 - 1. assign V178506 = V860526 + 1. assign V005521 = V283323. assign V561754 = V457721. assign V712576 = V870036 - 1. assign V619533 = V178506. assign V268215 = V020248. assign V404034 = V916111 + 1. assign V748990 = V278106 + 1. assign V721075 = V390991. assign V565468 = V773748 + 1. assign V746116 = V192739 - 1. assign V757072 = V819732 - 1. assign V904602 = V693425. assign V120224 = V073858 - 1. assign V973188 = V377969 - 1. assign V212104 = V283323 + 1. assign V055412 = V278106 - 1. assign V553362 = V092606 + 1. assign V507396 = V272145 - 1. assign V889573 = V527453. assign V668267 = V237443 + 1. assign V383860 = V357358 - 1. assign V606505 = V353769 - 1. assign V943542 = V257171 - 1. assign V098559 = V804876. assign V377969 = V856831 + 1. assign V073858 = V467606. assign V492685 = V798151 + 1. assign V061157 = V507295 + 1. assign V187472 = V507295 + 1. assign V481175 = V245313. assign V491835 = V476539 + 1. assign V398125 = V082581 - 1. assign V029191 = V421631. assign V370384 = V916111. assign V507295 = V856831. assign V750243 = V930694. assign V952043 = V847762 - 1. assign V425620 = V740074 - 1. assign V375403 = V956879 - 1. assign V115255 = V452662 - 1. assign V839007 = V847762 - 1. assign V980943 = V055917. assign V759656 = V382772. assign V288630 = V759656 - 1. assign V651320 = V452662 + 1. assign V228113 = V566678 - 1. assign V021382 = V370384 - 1. assign V517876 = V766642. assign V885640 = V390991. assign V469261 = V668267. assign V153014 = V856831. assign V230592 = V657601. assign V584649 = V482024 + 1. assign V987022 = V624229. assign V711406 = V624229 + 1. assign V559041 = V952043 - 1. assign V886309 = V977549 - 1. assign V448099 = V370384 - 1. assign V863590 = V357358 + 1. assign V467606 = V855765. assign V212050 = V798151 + 1. assign V237443 = V835409. assign V082581 = V609906. assign V055917 = V377969. assign V153159 = V270617 + 1. assign V590585 = V278106. assign V452662 = V092606 + 1. assign V150726 = V237443 + 1. assign V527453 = V826265. assign V057304 = V798151. assign V519693 = V066957 + 1. assign V624229 = V773748 + 1. assign V275570 = V519693 + 1. assign V804876 = V020248 - 1. assign V245313 = V283323 + 1. assign V773748 = V775949. assign V869731 = V856831. assign V093156 = V192739 + 1. assign V153290 = V288630. assign V940964 = V419833. assign V390991 = V283323. assign V788969 = V272145 - 1. assign V178478 = V952043 - 1. assign V020248 = V847762 - 1. assign V382772 = V798151. assign V307932 = V150958. assign V847762 = V798151. assign V678927 = V404034 - 1. assign V353769 = 10. assign V303833 = V115255. assign V270617 = V856831 + 1. assign V182146 = V375403 - 1. assign V049632 = V952043 - 1. assign V111492 = V566678 + 1. assign V766642 = V377969. assign V449551 = V020248. assign V482024 = V283323 + 1. assign V826265 = V952043. assign V075225 = V178506 - 1. assign V534953 = V559041. assign V357358 = V566678 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV353769 = 10;\n\nFrom these direct assignment(s), we have: \nV606505 = V353769 - 1 = 10 - 1 =9;\nNo other variables can be derived from V606505;\nNo other variables can be derived from V353769;\n\nNow we have done all the calculations. Derived variables are:\nV353769 = 10;\nV606505 = 9;\n\nNow we have finished this problem. ANSWER:\nV353769\n", "role": "assistant" } ]

[ "V048794" ]

[ { "content": "<context>\nassign V552416 = V915846. assign V512853 = V058656. assign V957773 = V053577 - 1. assign V009729 = V403226 - 1. assign V089671 = V363247 + 1. assign V403226 = V053577 + 1. assign V104442 = V932689 + 1. assign V194872 = V040465 + 1. assign V385765 = V957773 - 1. assign V854982 = V067824 + 1. assign V364986 = V058569 - 1. assign V365233 = V212331 - 1. assign V869421 = V212331 - 1. assign V256683 = V613714 - 1. assign V908027 = V998582 + 1. assign V489589 = V194483. assign V710144 = V194483. assign V212331 = V021020. assign V706957 = V161395 - 1. assign V194483 = V213538 - 1. assign V198689 = V322774 + 1. assign V518658 = V710144 - 1. assign V456584 = V807997 - 1. assign V726989 = V169255. assign V998582 = V807997. assign V820816 = V908027 - 1. assign V554165 = V194483. assign V053577 = V929271 + 1. assign V213538 = V320965. assign V706319 = V869421. assign V157335 = V880198. assign V259914 = V403226. assign V574424 = V040465. assign V807997 = V825927 + 1. assign V817205 = V364086 - 1. assign V932689 = V523584. assign V425840 = V706957 - 1. assign V523584 = V021020. assign V119238 = V212331 - 1. assign V824704 = V021020. assign V022574 = V235390 + 1. assign V227862 = V357758 - 1. assign V963762 = V718873. assign V693398 = V119238 - 1. assign V194251 = V084864. assign V695154 = V078043 - 1. assign V483944 = V119238 + 1. assign V239322 = V880198 + 1. assign V076676 = V613714 - 1. assign V364086 = V058656. assign V553079 = V357758 - 1. assign V104261 = V854982 + 1. assign V711754 = V365233 - 1. assign V835508 = V357088 - 1. assign V883784 = V213538. assign V329713 = V169255 - 1. assign V318034 = V256980. assign V078043 = V143666 - 1. assign V081440 = V997049. assign V825497 = V606499 - 1. assign V622817 = V058656 - 1. assign V665535 = V807997. assign V659544 = V040465 + 1. assign V100669 = V929311 + 1. assign V153453 = V089671 - 1. assign V508970 = V685968 + 1. assign V452795 = V825927. assign V048794 = 9. assign V895511 = V807997 + 1. assign V599587 = V235390 + 1. assign V830283 = V433431. assign V021020 = V997049 - 1. assign V759674 = V949885 - 1. assign V768131 = V908027. assign V701664 = V861729 + 1. assign V486568 = V081440. assign V033284 = V835173 + 1. assign V653527 = V861729 - 1. assign V618905 = V929311 + 1. assign V357758 = V932689 - 1. assign V660875 = V318345 + 1. assign V606189 = V256683. assign V070256 = V824704. assign V929311 = V523584 - 1. assign V580487 = V949885. assign V949885 = V613714 - 1. assign V611068 = V708527. assign V929271 = V212331 + 1. assign V825927 = V212331 + 1. assign V387802 = V508970. assign V903901 = V929311. assign V143666 = V213538 - 1. assign V930461 = V869421. assign V389878 = V518658. assign V935360 = V058656 - 1. assign V433431 = V194872 - 1. assign V915846 = V613714 - 1. assign V755538 = V807997 + 1. assign V357088 = V861729. assign V677767 = V081832 - 1. assign V098316 = V835173 - 1. assign V354216 = V076676 - 1. assign V727674 = V104442 + 1. assign V543412 = V143666 - 1. assign V625905 = V194483 + 1. assign V098786 = V318345. assign V363247 = V021020. assign V161395 = V861729. assign V947848 = V081440. assign V180482 = V998582 + 1. assign V173423 = V929271 - 1. assign V835173 = V063301 - 1. assign V067824 = V997049 + 1. assign V688085 = V768131 + 1. assign V503370 = V908027. assign V040465 = V072912 + 1. assign V687098 = V701664 + 1. assign V206074 = V684025 + 1. assign V080953 = V503370. assign V754143 = V929311 - 1. assign V318345 = V693398. assign V873380 = V932689. assign V200291 = V613714 + 1. assign V486852 = V653527 + 1. assign V302458 = V173423. assign V164796 = V357088 + 1. assign V684025 = V081440. assign V256980 = V606189 + 1. assign V081832 = V997049 + 1. assign V861729 = V119238 - 1. assign V234902 = V929271 - 1. assign V091474 = V081832 - 1. assign V927406 = V677767. assign V708084 = V611068 + 1. assign V613714 = V021020. assign V768160 = V613714. assign V176184 = V606499 - 1. assign V235390 = V234902 - 1. assign V934327 = V403226 - 1. assign V322774 = V089671 + 1. assign V129509 = V053577 + 1. assign V072912 = V949885. assign V880198 = V947848 + 1. assign V601046 = V161395 + 1. assign V985562 = V048794 + 1. assign V685968 = V622817 - 1. assign V708527 = V021020 + 1. assign V084864 = V058656. assign V209302 = V710144. assign V999197 = V456584 + 1. assign V858294 = V173423 + 1. assign V320965 = V997049. assign V606499 = V755538 - 1. assign V287010 = V685968 + 1. assign V728971 = V807997 + 1. assign V718873 = V234902 - 1. assign V344342 = V708527. assign V058569 = V554165. assign V419208 = V613714. assign V808373 = V081440. assign V063301 = V523584. assign V393844 = V100669. assign V539754 = V503370 - 1. assign V358111 = V318345. assign V548557 = V915846. assign V610602 = V053577. assign V041878 = V143666 + 1. assign V062014 = V100669. assign V781677 = V660875. assign V952543 = V548557 + 1. assign V058656 = V256683 - 1. assign V169255 = V523584 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V552416 = V915846. assign V512853 = V058656. assign V957773 = V053577 - 1. assign V009729 = V403226 - 1. assign V089671 = V363247 + 1. assign V403226 = V053577 + 1. assign V104442 = V932689 + 1. assign V194872 = V040465 + 1. assign V385765 = V957773 - 1. assign V854982 = V067824 + 1. assign V364986 = V058569 - 1. assign V365233 = V212331 - 1. assign V869421 = V212331 - 1. assign V256683 = V613714 - 1. assign V908027 = V998582 + 1. assign V489589 = V194483. assign V710144 = V194483. assign V212331 = V021020. assign V706957 = V161395 - 1. assign V194483 = V213538 - 1. assign V198689 = V322774 + 1. assign V518658 = V710144 - 1. assign V456584 = V807997 - 1. assign V726989 = V169255. assign V998582 = V807997. assign V820816 = V908027 - 1. assign V554165 = V194483. assign V053577 = V929271 + 1. assign V213538 = V320965. assign V706319 = V869421. assign V157335 = V880198. assign V259914 = V403226. assign V574424 = V040465. assign V807997 = V825927 + 1. assign V817205 = V364086 - 1. assign V932689 = V523584. assign V425840 = V706957 - 1. assign V523584 = V021020. assign V119238 = V212331 - 1. assign V824704 = V021020. assign V022574 = V235390 + 1. assign V227862 = V357758 - 1. assign V963762 = V718873. assign V693398 = V119238 - 1. assign V194251 = V084864. assign V695154 = V078043 - 1. assign V483944 = V119238 + 1. assign V239322 = V880198 + 1. assign V076676 = V613714 - 1. assign V364086 = V058656. assign V553079 = V357758 - 1. assign V104261 = V854982 + 1. assign V711754 = V365233 - 1. assign V835508 = V357088 - 1. assign V883784 = V213538. assign V329713 = V169255 - 1. assign V318034 = V256980. assign V078043 = V143666 - 1. assign V081440 = V997049. assign V825497 = V606499 - 1. assign V622817 = V058656 - 1. assign V665535 = V807997. assign V659544 = V040465 + 1. assign V100669 = V929311 + 1. assign V153453 = V089671 - 1. assign V508970 = V685968 + 1. assign V452795 = V825927. assign V048794 = 9. assign V895511 = V807997 + 1. assign V599587 = V235390 + 1. assign V830283 = V433431. assign V021020 = V997049 - 1. assign V759674 = V949885 - 1. assign V768131 = V908027. assign V701664 = V861729 + 1. assign V486568 = V081440. assign V033284 = V835173 + 1. assign V653527 = V861729 - 1. assign V618905 = V929311 + 1. assign V357758 = V932689 - 1. assign V660875 = V318345 + 1. assign V606189 = V256683. assign V070256 = V824704. assign V929311 = V523584 - 1. assign V580487 = V949885. assign V949885 = V613714 - 1. assign V611068 = V708527. assign V929271 = V212331 + 1. assign V825927 = V212331 + 1. assign V387802 = V508970. assign V903901 = V929311. assign V143666 = V213538 - 1. assign V930461 = V869421. assign V389878 = V518658. assign V935360 = V058656 - 1. assign V433431 = V194872 - 1. assign V915846 = V613714 - 1. assign V755538 = V807997 + 1. assign V357088 = V861729. assign V677767 = V081832 - 1. assign V098316 = V835173 - 1. assign V354216 = V076676 - 1. assign V727674 = V104442 + 1. assign V543412 = V143666 - 1. assign V625905 = V194483 + 1. assign V098786 = V318345. assign V363247 = V021020. assign V161395 = V861729. assign V947848 = V081440. assign V180482 = V998582 + 1. assign V173423 = V929271 - 1. assign V835173 = V063301 - 1. assign V067824 = V997049 + 1. assign V688085 = V768131 + 1. assign V503370 = V908027. assign V040465 = V072912 + 1. assign V687098 = V701664 + 1. assign V206074 = V684025 + 1. assign V080953 = V503370. assign V754143 = V929311 - 1. assign V318345 = V693398. assign V873380 = V932689. assign V200291 = V613714 + 1. assign V486852 = V653527 + 1. assign V302458 = V173423. assign V164796 = V357088 + 1. assign V684025 = V081440. assign V256980 = V606189 + 1. assign V081832 = V997049 + 1. assign V861729 = V119238 - 1. assign V234902 = V929271 - 1. assign V091474 = V081832 - 1. assign V927406 = V677767. assign V708084 = V611068 + 1. assign V613714 = V021020. assign V768160 = V613714. assign V176184 = V606499 - 1. assign V235390 = V234902 - 1. assign V934327 = V403226 - 1. assign V322774 = V089671 + 1. assign V129509 = V053577 + 1. assign V072912 = V949885. assign V880198 = V947848 + 1. assign V601046 = V161395 + 1. assign V985562 = V048794 + 1. assign V685968 = V622817 - 1. assign V708527 = V021020 + 1. assign V084864 = V058656. assign V209302 = V710144. assign V999197 = V456584 + 1. assign V858294 = V173423 + 1. assign V320965 = V997049. assign V606499 = V755538 - 1. assign V287010 = V685968 + 1. assign V728971 = V807997 + 1. assign V718873 = V234902 - 1. assign V344342 = V708527. assign V058569 = V554165. assign V419208 = V613714. assign V808373 = V081440. assign V063301 = V523584. assign V393844 = V100669. assign V539754 = V503370 - 1. assign V358111 = V318345. assign V548557 = V915846. assign V610602 = V053577. assign V041878 = V143666 + 1. assign V062014 = V100669. assign V781677 = V660875. assign V952543 = V548557 + 1. assign V058656 = V256683 - 1. assign V169255 = V523584 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV048794 = 9;\n\nFrom these direct assignment(s), we have: \nV985562 = V048794 + 1 = 9 + 1 =10;\nNo other variables can be derived from V985562;\nNo other variables can be derived from V048794;\n\nNow we have done all the calculations. Derived variables are:\nV048794 = 9;\nV985562 = 10;\n\nNow we have finished this problem. ANSWER:\nV048794\n", "role": "assistant" } ]

[ "V986074", "V988234" ]

[ { "content": "<context>\nassign V885442 = V016726. assign V869311 = V361609 + 1. assign V820142 = V977311 - 1. assign V530379 = V400981 - 1. assign V791250 = V718442 - 1. assign V435852 = V573467 + 1. assign V263752 = V921599. assign V101884 = V893684. assign V248625 = V266727 - 1. assign V347229 = V220958 + 1. assign V436530 = V405633 - 1. assign V668930 = V788373 + 1. assign V893684 = V386809 + 1. assign V919474 = V223241 - 1. assign V234650 = V166891. assign V790139 = V055398 + 1. assign V007859 = V569232 + 1. assign V472554 = V620880 + 1. assign V207230 = V113845 - 1. assign V840533 = V679724 - 1. assign V683175 = V305709. assign V338817 = V927684 + 1. assign V303924 = V296482 + 1. assign V679724 = V266727 + 1. assign V457187 = V033442 - 1. assign V753318 = V055398 + 1. assign V572981 = V817294. assign V573467 = V405633. assign V166891 = V893684 - 1. assign V846172 = V788373 - 1. assign V157206 = V601135. assign V464518 = V177345 - 1. assign V255038 = V450730 + 1. assign V370608 = V234650 - 1. assign V522407 = V361609. assign V016726 = V893684 - 1. assign V620880 = V788373 + 1. assign V289660 = V248625. assign V192253 = V790139 + 1. assign V486087 = V263752. assign V675437 = V522407 - 1. assign V223241 = V569232. assign V739251 = V763996 - 1. assign V313912 = V794540 - 1. assign V113845 = V927684 + 1. assign V573336 = V296482 - 1. assign V796469 = V630064 - 1. assign V649643 = V545571 + 1. assign V804024 = V683175 + 1. assign V601135 = V573467 - 1. assign V958741 = V055398. assign V098436 = V804024. assign V378750 = V675437. assign V747320 = V033442 - 1. assign V943917 = V573467 - 1. assign V840501 = V880786 + 1. assign V048617 = V817294 - 1. assign V336767 = V620880 + 1. assign V350613 = V511433. assign V233579 = V466969 + 1. assign V794540 = V796469. assign V763996 = V790139. assign V164952 = V157206. assign V768669 = V871136 + 1. assign V771545 = V258821. assign V928133 = V991427. assign V788373 = V042690 + 1. assign V076770 = V335782 - 1. assign V562960 = V035530 + 1. assign V151667 = V422124. assign V569232 = V386809 + 1. assign V302105 = V871136. assign V986074 = 5. assign V973759 = V400981 - 1. assign V466969 = V335782 - 1. assign V405633 = V386809 - 1. assign V131390 = V573467. assign V921599 = V790139. assign V459359 = V958741 + 1. assign V817294 = V893684 - 1. assign V630064 = V042690 + 1. assign V044191 = V289917. assign V177345 = V869311 - 1. assign V117829 = V236008 - 1. assign V910914 = V790139. assign V402499 = V788373 - 1. assign V905717 = V402499. assign V455637 = V007859 - 1. assign V096197 = V157206. assign V032393 = V893684. assign V988234 = V986074. assign V989919 = V679724. assign V552121 = V233579 + 1. assign V265823 = V007859 - 1. assign V511433 = V450730 - 1. assign V812695 = V853217 + 1. assign V305709 = V289917 + 1. assign V296482 = V044191 + 1. assign V085135 = V569232. assign V451899 = V422124 - 1. assign V370616 = V131390 - 1. assign V630995 = V768669. assign V930364 = V227500. assign V977311 = V853217. assign V333788 = V871136 + 1. assign V219324 = V753318. assign V766577 = V076770 + 1. assign V119361 = V928133 + 1. assign V734332 = V522407. assign V305664 = V910914. assign V654113 = V522407 + 1. assign V400981 = V790139. assign V922098 = V234650 + 1. assign V289917 = V042690 + 1. assign V718442 = V905717. assign V450730 = V522407. assign V796821 = V610924 + 1. assign V811991 = V313912 - 1. assign V335782 = V386809. assign V986843 = V422124 + 1. assign V973615 = V131390. assign V029267 = V223241. assign V229106 = V166891 - 1. assign V887022 = V422124 + 1. assign V927684 = V289917. assign V562420 = V790139. assign V227500 = V869311 + 1. assign V695120 = V042690 + 1. assign V485680 = V545571. assign V610924 = V435852. assign V844726 = V817294 + 1. assign V691469 = V790139 + 1. assign V545571 = V812695 + 1. assign V646478 = V258821 - 1. assign V563423 = V943917. assign V225679 = V076770 + 1. assign V871136 = V753318 + 1. assign V035530 = V347229 + 1. assign V426046 = V927684 + 1. assign V220958 = V305709. assign V626176 = V336767 - 1. assign V388483 = V255038. assign V055398 = V305709 + 1. assign V802170 = V569232 - 1. assign V654511 = V336767 + 1. assign V386809 = V683175. assign V889449 = V812695 - 1. assign V853217 = V234650 - 1. assign V669044 = V258821 + 1. assign V361609 = V683175. assign V658412 = V552121 + 1. assign V422124 = V258821 + 1. assign V266727 = V405633 + 1. assign V732753 = V958741 - 1. assign V275747 = V652944. assign V803932 = V973615 + 1. assign V968245 = V909228 + 1. assign V607695 = V522407 + 1. assign V731917 = V076770 + 1. assign V698328 = V973759. assign V236008 = V893684 + 1. assign V471147 = V361609. assign V541377 = V007859 - 1. assign V793631 = V796821 + 1. assign V991427 = V234650 - 1. assign V033442 = V044191 - 1. assign V402701 = V683175. assign V606884 = V236008 + 1. assign V652944 = V522407. assign V258821 = V223241 - 1. assign V880786 = V229106 - 1. assign V909228 = V436530.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V885442 = V016726. assign V869311 = V361609 + 1. assign V820142 = V977311 - 1. assign V530379 = V400981 - 1. assign V791250 = V718442 - 1. assign V435852 = V573467 + 1. assign V263752 = V921599. assign V101884 = V893684. assign V248625 = V266727 - 1. assign V347229 = V220958 + 1. assign V436530 = V405633 - 1. assign V668930 = V788373 + 1. assign V893684 = V386809 + 1. assign V919474 = V223241 - 1. assign V234650 = V166891. assign V790139 = V055398 + 1. assign V007859 = V569232 + 1. assign V472554 = V620880 + 1. assign V207230 = V113845 - 1. assign V840533 = V679724 - 1. assign V683175 = V305709. assign V338817 = V927684 + 1. assign V303924 = V296482 + 1. assign V679724 = V266727 + 1. assign V457187 = V033442 - 1. assign V753318 = V055398 + 1. assign V572981 = V817294. assign V573467 = V405633. assign V166891 = V893684 - 1. assign V846172 = V788373 - 1. assign V157206 = V601135. assign V464518 = V177345 - 1. assign V255038 = V450730 + 1. assign V370608 = V234650 - 1. assign V522407 = V361609. assign V016726 = V893684 - 1. assign V620880 = V788373 + 1. assign V289660 = V248625. assign V192253 = V790139 + 1. assign V486087 = V263752. assign V675437 = V522407 - 1. assign V223241 = V569232. assign V739251 = V763996 - 1. assign V313912 = V794540 - 1. assign V113845 = V927684 + 1. assign V573336 = V296482 - 1. assign V796469 = V630064 - 1. assign V649643 = V545571 + 1. assign V804024 = V683175 + 1. assign V601135 = V573467 - 1. assign V958741 = V055398. assign V098436 = V804024. assign V378750 = V675437. assign V747320 = V033442 - 1. assign V943917 = V573467 - 1. assign V840501 = V880786 + 1. assign V048617 = V817294 - 1. assign V336767 = V620880 + 1. assign V350613 = V511433. assign V233579 = V466969 + 1. assign V794540 = V796469. assign V763996 = V790139. assign V164952 = V157206. assign V768669 = V871136 + 1. assign V771545 = V258821. assign V928133 = V991427. assign V788373 = V042690 + 1. assign V076770 = V335782 - 1. assign V562960 = V035530 + 1. assign V151667 = V422124. assign V569232 = V386809 + 1. assign V302105 = V871136. assign V986074 = 5. assign V973759 = V400981 - 1. assign V466969 = V335782 - 1. assign V405633 = V386809 - 1. assign V131390 = V573467. assign V921599 = V790139. assign V459359 = V958741 + 1. assign V817294 = V893684 - 1. assign V630064 = V042690 + 1. assign V044191 = V289917. assign V177345 = V869311 - 1. assign V117829 = V236008 - 1. assign V910914 = V790139. assign V402499 = V788373 - 1. assign V905717 = V402499. assign V455637 = V007859 - 1. assign V096197 = V157206. assign V032393 = V893684. assign V988234 = V986074. assign V989919 = V679724. assign V552121 = V233579 + 1. assign V265823 = V007859 - 1. assign V511433 = V450730 - 1. assign V812695 = V853217 + 1. assign V305709 = V289917 + 1. assign V296482 = V044191 + 1. assign V085135 = V569232. assign V451899 = V422124 - 1. assign V370616 = V131390 - 1. assign V630995 = V768669. assign V930364 = V227500. assign V977311 = V853217. assign V333788 = V871136 + 1. assign V219324 = V753318. assign V766577 = V076770 + 1. assign V119361 = V928133 + 1. assign V734332 = V522407. assign V305664 = V910914. assign V654113 = V522407 + 1. assign V400981 = V790139. assign V922098 = V234650 + 1. assign V289917 = V042690 + 1. assign V718442 = V905717. assign V450730 = V522407. assign V796821 = V610924 + 1. assign V811991 = V313912 - 1. assign V335782 = V386809. assign V986843 = V422124 + 1. assign V973615 = V131390. assign V029267 = V223241. assign V229106 = V166891 - 1. assign V887022 = V422124 + 1. assign V927684 = V289917. assign V562420 = V790139. assign V227500 = V869311 + 1. assign V695120 = V042690 + 1. assign V485680 = V545571. assign V610924 = V435852. assign V844726 = V817294 + 1. assign V691469 = V790139 + 1. assign V545571 = V812695 + 1. assign V646478 = V258821 - 1. assign V563423 = V943917. assign V225679 = V076770 + 1. assign V871136 = V753318 + 1. assign V035530 = V347229 + 1. assign V426046 = V927684 + 1. assign V220958 = V305709. assign V626176 = V336767 - 1. assign V388483 = V255038. assign V055398 = V305709 + 1. assign V802170 = V569232 - 1. assign V654511 = V336767 + 1. assign V386809 = V683175. assign V889449 = V812695 - 1. assign V853217 = V234650 - 1. assign V669044 = V258821 + 1. assign V361609 = V683175. assign V658412 = V552121 + 1. assign V422124 = V258821 + 1. assign V266727 = V405633 + 1. assign V732753 = V958741 - 1. assign V275747 = V652944. assign V803932 = V973615 + 1. assign V968245 = V909228 + 1. assign V607695 = V522407 + 1. assign V731917 = V076770 + 1. assign V698328 = V973759. assign V236008 = V893684 + 1. assign V471147 = V361609. assign V541377 = V007859 - 1. assign V793631 = V796821 + 1. assign V991427 = V234650 - 1. assign V033442 = V044191 - 1. assign V402701 = V683175. assign V606884 = V236008 + 1. assign V652944 = V522407. assign V258821 = V223241 - 1. assign V880786 = V229106 - 1. assign V909228 = V436530.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV986074 = 5;\n\nFrom these direct assignment(s), we have: \nV988234 = V986074 = 5;\nNo other variables can be derived from V988234;\nNo other variables can be derived from V986074;\n\nNow we have done all the calculations. Derived variables are:\nV986074 = 5;\nV988234 = 5;\n\nNow we have finished this problem. ANSWER:\nV986074, V988234\n", "role": "assistant" } ]

[ "V894281" ]

[ { "content": "<context>\nassign V532329 = V146921. assign V059123 = V281081 + 1. assign V428454 = V650654 - 1. assign V951832 = V148474. assign V314067 = V992365 + 1. assign V610378 = V094460 - 1. assign V557884 = V039377 - 1. assign V992736 = V471356 + 1. assign V775066 = V039613 - 1. assign V304552 = V709752 - 1. assign V654895 = V951536 + 1. assign V059521 = V368539 - 1. assign V644203 = V709752 + 1. assign V638181 = V508635 - 1. assign V153373 = V650341 + 1. assign V472158 = V121350 - 1. assign V906485 = V775066. assign V319918 = V278340. assign V418159 = V266770 + 1. assign V619831 = V644203. assign V503840 = V418159 - 1. assign V784412 = V482943. assign V633819 = V011950 - 1. assign V279311 = V471356 - 1. assign V917323 = V181007 - 1. assign V094460 = V368539 + 1. assign V275901 = V242306 + 1. assign V980311 = V482818. assign V926308 = V894281 + 1. assign V408566 = V039377 - 1. assign V760635 = V917837 - 1. assign V246411 = V304552. assign V243340 = V298975. assign V992365 = V246411 + 1. assign V934893 = V339766 - 1. assign V155283 = V181007 + 1. assign V047854 = V181007 + 1. assign V551509 = V522635 - 1. assign V115892 = V005329. assign V384581 = V146921. assign V368033 = V039613 + 1. assign V554514 = V266770. assign V321081 = V150166 - 1. assign V748885 = V040395. assign V965722 = V278340. assign V143019 = V369172 + 1. assign V139223 = V510387. assign V260859 = V139223 - 1. assign V040395 = V906485 - 1. assign V044970 = V059521 - 1. assign V650654 = V059521. assign V417231 = V411906 + 1. assign V212283 = V279311 - 1. assign V343276 = V384581 - 1. assign V323273 = V965722 - 1. assign V014915 = V094460 - 1. assign V482818 = V043769 + 1. assign V239148 = V943448. assign V381510 = V384581 + 1. assign V922734 = V650341 - 1. assign V316492 = V650341 + 1. assign V597490 = V922734 + 1. assign V174548 = V360239 + 1. assign V496361 = V385731 + 1. assign V733174 = V418159. assign V324360 = V359725. assign V369172 = V644203 - 1. assign V950695 = V319918 - 1. assign V051563 = V150166 + 1. assign V669106 = V360239. assign V011950 = V471356 - 1. assign V508635 = V155283 - 1. assign V280744 = V115892. assign V005329 = V044970 + 1. assign V411906 = V765221 - 1. assign V407173 = V153373. assign V173772 = V478017. assign V541733 = V197030. assign V751353 = V471356 + 1. assign V917837 = V188519 + 1. assign V181779 = V353359 + 1. assign V150166 = V246411 + 1. assign V507053 = V368539 + 1. assign V353359 = V148474. assign V339766 = V044970. assign V781342 = V011950. assign V267469 = V496361 + 1. assign V475708 = V360239. assign V633580 = V239148 - 1. assign V842906 = V541733. assign V843192 = V028943. assign V360239 = V381510 + 1. assign V901344 = V943448 - 1. assign V894281 = 6. assign V188519 = V226262. assign V857135 = V350305. assign V185652 = V226798 + 1. assign V305235 = V115892. assign V199528 = V709752 - 1. assign V709752 = V064854 - 1. assign V155308 = V275901 + 1. assign V545989 = V039613 + 1. assign V951536 = V508635 - 1. assign V667006 = V992736. assign V930011 = V351445 + 1. assign V501464 = V480258 - 1. assign V350305 = V760635. assign V557053 = V951536 - 1. assign V956983 = V931410 - 1. assign V226262 = V507053 + 1. assign V931410 = V965722 + 1. assign V471356 = V319918 + 1. assign V847049 = V319918 + 1. assign V153546 = V478017. assign V522635 = V995203 - 1. assign V825484 = V181007 + 1. assign V298975 = V181007 - 1. assign V076171 = V775066 + 1. assign V340466 = V039613. assign V351445 = V005329. assign V359725 = V039377 + 1. assign V387839 = V155308 + 1. assign V708493 = V557053 + 1. assign V425616 = V298975. assign V372476 = V669106 + 1. assign V510387 = V148474 + 1. assign V558394 = V094460 - 1. assign V665059 = V644203 - 1. assign V281081 = V507053. assign V411271 = V044970 + 1. assign V086593 = V094460 + 1. assign V862419 = V353359 - 1. assign V347891 = V644203. assign V943448 = V039377. assign V482943 = V360239 - 1. assign V170354 = V708493 - 1. assign V765221 = V047854 - 1. assign V039613 = V047854 + 1. assign V176180 = V545989 + 1. assign V242306 = V360239. assign V146921 = V340466 - 1. assign V148474 = V471356 + 1. assign V889689 = V554514 - 1. assign V043769 = V047854. assign V529840 = V039613 + 1. assign V601602 = V305235 - 1. assign V447217 = V917837 + 1. assign V197030 = V359725 + 1. assign V869238 = V943448. assign V651223 = V243340 + 1. assign V478017 = V040395. assign V039377 = V005329 + 1. assign V072107 = V848822 - 1. assign V535518 = V039613. assign V785828 = V471356 - 1. assign V995203 = V510387 + 1. assign V266770 = V279311. assign V380829 = V011950 + 1. assign V064854 = V044970 + 1. assign V121350 = V943448 + 1. assign V385731 = V305235 + 1. assign V848822 = V115892. assign V028943 = V751353. assign V266124 = V554514. assign V702796 = V733174. assign V226798 = V541733. assign V635299 = V324360 + 1. assign V278340 = V059521 + 1. assign V650341 = V847049. assign V874756 = V551509. assign V181007 = V094460 - 1. assign V480258 = V368539 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V532329 = V146921. assign V059123 = V281081 + 1. assign V428454 = V650654 - 1. assign V951832 = V148474. assign V314067 = V992365 + 1. assign V610378 = V094460 - 1. assign V557884 = V039377 - 1. assign V992736 = V471356 + 1. assign V775066 = V039613 - 1. assign V304552 = V709752 - 1. assign V654895 = V951536 + 1. assign V059521 = V368539 - 1. assign V644203 = V709752 + 1. assign V638181 = V508635 - 1. assign V153373 = V650341 + 1. assign V472158 = V121350 - 1. assign V906485 = V775066. assign V319918 = V278340. assign V418159 = V266770 + 1. assign V619831 = V644203. assign V503840 = V418159 - 1. assign V784412 = V482943. assign V633819 = V011950 - 1. assign V279311 = V471356 - 1. assign V917323 = V181007 - 1. assign V094460 = V368539 + 1. assign V275901 = V242306 + 1. assign V980311 = V482818. assign V926308 = V894281 + 1. assign V408566 = V039377 - 1. assign V760635 = V917837 - 1. assign V246411 = V304552. assign V243340 = V298975. assign V992365 = V246411 + 1. assign V934893 = V339766 - 1. assign V155283 = V181007 + 1. assign V047854 = V181007 + 1. assign V551509 = V522635 - 1. assign V115892 = V005329. assign V384581 = V146921. assign V368033 = V039613 + 1. assign V554514 = V266770. assign V321081 = V150166 - 1. assign V748885 = V040395. assign V965722 = V278340. assign V143019 = V369172 + 1. assign V139223 = V510387. assign V260859 = V139223 - 1. assign V040395 = V906485 - 1. assign V044970 = V059521 - 1. assign V650654 = V059521. assign V417231 = V411906 + 1. assign V212283 = V279311 - 1. assign V343276 = V384581 - 1. assign V323273 = V965722 - 1. assign V014915 = V094460 - 1. assign V482818 = V043769 + 1. assign V239148 = V943448. assign V381510 = V384581 + 1. assign V922734 = V650341 - 1. assign V316492 = V650341 + 1. assign V597490 = V922734 + 1. assign V174548 = V360239 + 1. assign V496361 = V385731 + 1. assign V733174 = V418159. assign V324360 = V359725. assign V369172 = V644203 - 1. assign V950695 = V319918 - 1. assign V051563 = V150166 + 1. assign V669106 = V360239. assign V011950 = V471356 - 1. assign V508635 = V155283 - 1. assign V280744 = V115892. assign V005329 = V044970 + 1. assign V411906 = V765221 - 1. assign V407173 = V153373. assign V173772 = V478017. assign V541733 = V197030. assign V751353 = V471356 + 1. assign V917837 = V188519 + 1. assign V181779 = V353359 + 1. assign V150166 = V246411 + 1. assign V507053 = V368539 + 1. assign V353359 = V148474. assign V339766 = V044970. assign V781342 = V011950. assign V267469 = V496361 + 1. assign V475708 = V360239. assign V633580 = V239148 - 1. assign V842906 = V541733. assign V843192 = V028943. assign V360239 = V381510 + 1. assign V901344 = V943448 - 1. assign V894281 = 6. assign V188519 = V226262. assign V857135 = V350305. assign V185652 = V226798 + 1. assign V305235 = V115892. assign V199528 = V709752 - 1. assign V709752 = V064854 - 1. assign V155308 = V275901 + 1. assign V545989 = V039613 + 1. assign V951536 = V508635 - 1. assign V667006 = V992736. assign V930011 = V351445 + 1. assign V501464 = V480258 - 1. assign V350305 = V760635. assign V557053 = V951536 - 1. assign V956983 = V931410 - 1. assign V226262 = V507053 + 1. assign V931410 = V965722 + 1. assign V471356 = V319918 + 1. assign V847049 = V319918 + 1. assign V153546 = V478017. assign V522635 = V995203 - 1. assign V825484 = V181007 + 1. assign V298975 = V181007 - 1. assign V076171 = V775066 + 1. assign V340466 = V039613. assign V351445 = V005329. assign V359725 = V039377 + 1. assign V387839 = V155308 + 1. assign V708493 = V557053 + 1. assign V425616 = V298975. assign V372476 = V669106 + 1. assign V510387 = V148474 + 1. assign V558394 = V094460 - 1. assign V665059 = V644203 - 1. assign V281081 = V507053. assign V411271 = V044970 + 1. assign V086593 = V094460 + 1. assign V862419 = V353359 - 1. assign V347891 = V644203. assign V943448 = V039377. assign V482943 = V360239 - 1. assign V170354 = V708493 - 1. assign V765221 = V047854 - 1. assign V039613 = V047854 + 1. assign V176180 = V545989 + 1. assign V242306 = V360239. assign V146921 = V340466 - 1. assign V148474 = V471356 + 1. assign V889689 = V554514 - 1. assign V043769 = V047854. assign V529840 = V039613 + 1. assign V601602 = V305235 - 1. assign V447217 = V917837 + 1. assign V197030 = V359725 + 1. assign V869238 = V943448. assign V651223 = V243340 + 1. assign V478017 = V040395. assign V039377 = V005329 + 1. assign V072107 = V848822 - 1. assign V535518 = V039613. assign V785828 = V471356 - 1. assign V995203 = V510387 + 1. assign V266770 = V279311. assign V380829 = V011950 + 1. assign V064854 = V044970 + 1. assign V121350 = V943448 + 1. assign V385731 = V305235 + 1. assign V848822 = V115892. assign V028943 = V751353. assign V266124 = V554514. assign V702796 = V733174. assign V226798 = V541733. assign V635299 = V324360 + 1. assign V278340 = V059521 + 1. assign V650341 = V847049. assign V874756 = V551509. assign V181007 = V094460 - 1. assign V480258 = V368539 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV894281 = 6;\n\nFrom these direct assignment(s), we have: \nV926308 = V894281 + 1 = 6 + 1 =7;\nNo other variables can be derived from V926308;\nNo other variables can be derived from V894281;\n\nNow we have done all the calculations. Derived variables are:\nV894281 = 6;\nV926308 = 7;\n\nNow we have finished this problem. ANSWER:\nV894281\n", "role": "assistant" } ]

[ "V784446" ]

[ { "content": "<context>\nassign V353078 = V897730. assign V996753 = V833714 + 1. assign V754916 = V726715. assign V479264 = V414142 - 1. assign V901387 = V304241 + 1. assign V801366 = V090082 + 1. assign V578403 = V435409 + 1. assign V039248 = V411846 + 1. assign V870179 = V097831. assign V958754 = V158370. assign V768488 = V605990 + 1. assign V986426 = V604338. assign V112784 = V353078 - 1. assign V808746 = V939202 + 1. assign V368162 = V883295 - 1. assign V224701 = V896143 + 1. assign V157519 = V185469. assign V961538 = V818972 - 1. assign V125384 = V259344. assign V595863 = V808746 + 1. assign V390882 = V259344 - 1. assign V306113 = V939202. assign V846125 = V818972. assign V650401 = V796152 + 1. assign V414142 = V007497. assign V864295 = V182249 + 1. assign V883295 = V559491 - 1. assign V983194 = 6. assign V876186 = V174359 + 1. assign V666508 = V296513. assign V718224 = V414142. assign V914825 = V004155. assign V435409 = V939202 + 1. assign V103174 = V541855. assign V922260 = V993563. assign V323894 = V665063 + 1. assign V723996 = V348743. assign V120576 = V806667. assign V411846 = V605990. assign V806355 = V567207 + 1. assign V073765 = V616795 - 1. assign V549227 = V390882 + 1. assign V389730 = V249487 - 1. assign V377225 = V097831 - 1. assign V947584 = V004155. assign V100868 = V688815 + 1. assign V665063 = V390882 - 1. assign V908288 = V996753 - 1. assign V677424 = V196790 + 1. assign V616795 = V259344 + 1. assign V361996 = V901387 + 1. assign V989709 = V390882. assign V158370 = V939202. assign V631408 = V754916. assign V873429 = V806667 + 1. assign V727779 = V019077 + 1. assign V367115 = V509014. assign V848362 = V046619 + 1. assign V292775 = V302438 + 1. assign V405792 = V559491 - 1. assign V608416 = V195644 + 1. assign V220039 = V537945. assign V004155 = V182249. assign V688815 = V537945. assign V539303 = V114190 - 1. assign V413945 = V063483. assign V195644 = V928811 + 1. assign V174359 = V249487. assign V588525 = V256807. assign V993563 = V185469 + 1. assign V998320 = V726715 - 1. assign V537945 = V928811 + 1. assign V897730 = V174359 - 1. assign V542874 = V588525 - 1. assign V811744 = V818972. assign V015652 = V085361 - 1. assign V085361 = V039248. assign V768377 = V377225. assign V701381 = V939202 + 1. assign V796152 = V559491 + 1. assign V559491 = V605990 + 1. assign V289881 = V754916. assign V182744 = V097831 - 1. assign V185469 = V724275. assign V635560 = V296513 + 1. assign V302438 = V537945 + 1. assign V179726 = V558342. assign V278907 = V571208. assign V896143 = V567207. assign V998431 = V616795 - 1. assign V310610 = V796661 - 1. assign V064872 = V007497 + 1. assign V679041 = V756533. assign V756533 = V595863. assign V929198 = V726715 + 1. assign V992075 = V354716 - 1. assign V493729 = V256807. assign V423490 = V195644 + 1. assign V310363 = V019077 - 1. assign V496603 = V808746. assign V190447 = V007497 + 1. assign V509014 = V135473 - 1. assign V887257 = V007497. assign V710280 = V818972 - 1. assign V149094 = V808746 + 1. assign V571208 = V114190 - 1. assign V256807 = V650401 + 1. assign V090082 = V195644 - 1. assign V779512 = V423490 + 1. assign V184770 = V897730 + 1. assign V178256 = V567207. assign V135473 = V182249. assign V304241 = V368162. assign V857064 = V666024 + 1. assign V584997 = V073765 + 1. assign V556044 = V939202 + 1. assign V231285 = V564295 + 1. assign V105408 = V182249. assign V939202 = V833714. assign V097831 = V537945 - 1. assign V007497 = V423490. assign V833714 = V220039. assign V019077 = V220039 - 1. assign V605990 = V097831. assign V588152 = V796152 - 1. assign V558342 = V182249 + 1. assign V726715 = V688815 + 1. assign V114190 = V724275 - 1. assign V418791 = V595863 + 1. assign V196790 = V100868 + 1. assign V354716 = V377225. assign V564563 = V812726 - 1. assign V567207 = V608416 + 1. assign V752345 = V727779 - 1. assign V666024 = V114190. assign V724275 = V605990 - 1. assign V806667 = V135473 - 1. assign V249487 = V097831 - 1. assign V348743 = V666024 - 1. assign V328225 = V752345 + 1. assign V055400 = V796152. assign V830207 = V304241 + 1. assign V182249 = V537945 - 1. assign V586583 = V873429 + 1. assign V962907 = V520415 + 1. assign V446835 = V411846 + 1. assign V723191 = V595863 - 1. assign V520415 = V097831 + 1. assign V046619 = V184770 - 1. assign V305839 = V050973. assign V427298 = V539303 - 1. assign V621506 = V901387 + 1. assign V812726 = V595863 + 1. assign V796811 = V302438. assign V063483 = V665063 + 1. assign V865715 = V289881. assign V541855 = V883295 - 1. assign V564295 = V411846. assign V883308 = V185469 - 1. assign V296513 = V796152. assign V780306 = V278907 + 1. assign V529510 = V007497 + 1. assign V014896 = V608416. assign V818972 = V883295 + 1. assign V796661 = V752345. assign V509589 = V389730 + 1. assign V259344 = V220039 + 1. assign V264713 = V411846. assign V604338 = V050973 - 1. assign V050973 = V605990 - 1. assign V784446 = V983194 + 1. assign V449519 = V559491 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V353078 = V897730. assign V996753 = V833714 + 1. assign V754916 = V726715. assign V479264 = V414142 - 1. assign V901387 = V304241 + 1. assign V801366 = V090082 + 1. assign V578403 = V435409 + 1. assign V039248 = V411846 + 1. assign V870179 = V097831. assign V958754 = V158370. assign V768488 = V605990 + 1. assign V986426 = V604338. assign V112784 = V353078 - 1. assign V808746 = V939202 + 1. assign V368162 = V883295 - 1. assign V224701 = V896143 + 1. assign V157519 = V185469. assign V961538 = V818972 - 1. assign V125384 = V259344. assign V595863 = V808746 + 1. assign V390882 = V259344 - 1. assign V306113 = V939202. assign V846125 = V818972. assign V650401 = V796152 + 1. assign V414142 = V007497. assign V864295 = V182249 + 1. assign V883295 = V559491 - 1. assign V983194 = 6. assign V876186 = V174359 + 1. assign V666508 = V296513. assign V718224 = V414142. assign V914825 = V004155. assign V435409 = V939202 + 1. assign V103174 = V541855. assign V922260 = V993563. assign V323894 = V665063 + 1. assign V723996 = V348743. assign V120576 = V806667. assign V411846 = V605990. assign V806355 = V567207 + 1. assign V073765 = V616795 - 1. assign V549227 = V390882 + 1. assign V389730 = V249487 - 1. assign V377225 = V097831 - 1. assign V947584 = V004155. assign V100868 = V688815 + 1. assign V665063 = V390882 - 1. assign V908288 = V996753 - 1. assign V677424 = V196790 + 1. assign V616795 = V259344 + 1. assign V361996 = V901387 + 1. assign V989709 = V390882. assign V158370 = V939202. assign V631408 = V754916. assign V873429 = V806667 + 1. assign V727779 = V019077 + 1. assign V367115 = V509014. assign V848362 = V046619 + 1. assign V292775 = V302438 + 1. assign V405792 = V559491 - 1. assign V608416 = V195644 + 1. assign V220039 = V537945. assign V004155 = V182249. assign V688815 = V537945. assign V539303 = V114190 - 1. assign V413945 = V063483. assign V195644 = V928811 + 1. assign V174359 = V249487. assign V588525 = V256807. assign V993563 = V185469 + 1. assign V998320 = V726715 - 1. assign V537945 = V928811 + 1. assign V897730 = V174359 - 1. assign V542874 = V588525 - 1. assign V811744 = V818972. assign V015652 = V085361 - 1. assign V085361 = V039248. assign V768377 = V377225. assign V701381 = V939202 + 1. assign V796152 = V559491 + 1. assign V559491 = V605990 + 1. assign V289881 = V754916. assign V182744 = V097831 - 1. assign V185469 = V724275. assign V635560 = V296513 + 1. assign V302438 = V537945 + 1. assign V179726 = V558342. assign V278907 = V571208. assign V896143 = V567207. assign V998431 = V616795 - 1. assign V310610 = V796661 - 1. assign V064872 = V007497 + 1. assign V679041 = V756533. assign V756533 = V595863. assign V929198 = V726715 + 1. assign V992075 = V354716 - 1. assign V493729 = V256807. assign V423490 = V195644 + 1. assign V310363 = V019077 - 1. assign V496603 = V808746. assign V190447 = V007497 + 1. assign V509014 = V135473 - 1. assign V887257 = V007497. assign V710280 = V818972 - 1. assign V149094 = V808746 + 1. assign V571208 = V114190 - 1. assign V256807 = V650401 + 1. assign V090082 = V195644 - 1. assign V779512 = V423490 + 1. assign V184770 = V897730 + 1. assign V178256 = V567207. assign V135473 = V182249. assign V304241 = V368162. assign V857064 = V666024 + 1. assign V584997 = V073765 + 1. assign V556044 = V939202 + 1. assign V231285 = V564295 + 1. assign V105408 = V182249. assign V939202 = V833714. assign V097831 = V537945 - 1. assign V007497 = V423490. assign V833714 = V220039. assign V019077 = V220039 - 1. assign V605990 = V097831. assign V588152 = V796152 - 1. assign V558342 = V182249 + 1. assign V726715 = V688815 + 1. assign V114190 = V724275 - 1. assign V418791 = V595863 + 1. assign V196790 = V100868 + 1. assign V354716 = V377225. assign V564563 = V812726 - 1. assign V567207 = V608416 + 1. assign V752345 = V727779 - 1. assign V666024 = V114190. assign V724275 = V605990 - 1. assign V806667 = V135473 - 1. assign V249487 = V097831 - 1. assign V348743 = V666024 - 1. assign V328225 = V752345 + 1. assign V055400 = V796152. assign V830207 = V304241 + 1. assign V182249 = V537945 - 1. assign V586583 = V873429 + 1. assign V962907 = V520415 + 1. assign V446835 = V411846 + 1. assign V723191 = V595863 - 1. assign V520415 = V097831 + 1. assign V046619 = V184770 - 1. assign V305839 = V050973. assign V427298 = V539303 - 1. assign V621506 = V901387 + 1. assign V812726 = V595863 + 1. assign V796811 = V302438. assign V063483 = V665063 + 1. assign V865715 = V289881. assign V541855 = V883295 - 1. assign V564295 = V411846. assign V883308 = V185469 - 1. assign V296513 = V796152. assign V780306 = V278907 + 1. assign V529510 = V007497 + 1. assign V014896 = V608416. assign V818972 = V883295 + 1. assign V796661 = V752345. assign V509589 = V389730 + 1. assign V259344 = V220039 + 1. assign V264713 = V411846. assign V604338 = V050973 - 1. assign V050973 = V605990 - 1. assign V784446 = V983194 + 1. assign V449519 = V559491 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV983194 = 6;\n\nFrom these direct assignment(s), we have: \nV784446 = V983194 + 1 = 6 + 1 =7;\nNo other variables can be derived from V784446;\nNo other variables can be derived from V983194;\n\nNow we have done all the calculations. Derived variables are:\nV983194 = 6;\nV784446 = 7;\n\nNow we have finished this problem. ANSWER:\nV784446\n", "role": "assistant" } ]

[ "V336058" ]

[ { "content": "<context>\nassign V863005 = V070668. assign V583637 = V371411. assign V363164 = V558095 + 1. assign V308240 = V005439 + 1. assign V282001 = V815861 - 1. assign V140811 = V436041 - 1. assign V858115 = V653472. assign V146439 = V308240 - 1. assign V349558 = V222658. assign V490762 = V119948 - 1. assign V726589 = V958257. assign V318573 = V255678. assign V083369 = V815861 + 1. assign V815861 = V693116. assign V247469 = V693116 - 1. assign V444850 = V507076. assign V244149 = V858115. assign V338832 = V619092 + 1. assign V958635 = V588861 + 1. assign V861994 = V151808. assign V007215 = V735839 - 1. assign V539306 = V274932. assign V028698 = V044008 + 1. assign V314716 = V191857 - 1. assign V653472 = V693116 - 1. assign V828223 = V207965 - 1. assign V506639 = V465546. assign V989984 = V317379 + 1. assign V044008 = V282001 + 1. assign V999132 = V709843 + 1. assign V154908 = V588861. assign V637419 = V247469 - 1. assign V374103 = V436041 + 1. assign V962668 = V338189 - 1. assign V436771 = V958635 + 1. assign V306953 = V371411 - 1. assign V720258 = V776371 - 1. assign V319973 = V154908 - 1. assign V587418 = V424081. assign V792032 = V902381 - 1. assign V809852 = V861994 + 1. assign V763275 = V003623. assign V792494 = V338189. assign V430211 = V552063 - 1. assign V440912 = V244149 + 1. assign V151808 = V338189 + 1. assign V520314 = V436041 + 1. assign V524401 = V500322 + 1. assign V336058 = 6. assign V191857 = V247469 - 1. assign V295912 = V861994 - 1. assign V711821 = V314716 + 1. assign V366847 = V958257 - 1. assign V274932 = V709843 + 1. assign V198600 = V299681 + 1. assign V708588 = V342854. assign V418205 = V970493. assign V424081 = V114178 + 1. assign V222658 = V338832. assign V002977 = V142651. assign V708161 = V858074. assign V958257 = V784813. assign V020245 = V693116. assign V926375 = V619092. assign V288755 = V588861 + 1. assign V851710 = V274932 + 1. assign V279807 = V763275 - 1. assign V252222 = V587418. assign V866739 = V958635. assign V131707 = V142651. assign V197229 = V740784 - 1. assign V371411 = V198600. assign V677994 = V299681. assign V417927 = V314716 + 1. assign V127371 = V083369 - 1. assign V530854 = V314716 + 1. assign V018346 = V314716. assign V454161 = V588861. assign V755657 = V282001 + 1. assign V637642 = V436602. assign V317379 = V763275 + 1. assign V346961 = V776371 - 1. assign V119948 = V293613 - 1. assign V293613 = V374103. assign V866514 = V726589 - 1. assign V673982 = V663638 + 1. assign V976703 = V958635. assign V255678 = V299681 - 1. assign V576442 = V755657. assign V338189 = V293613 + 1. assign V558095 = V154908. assign V948854 = V191857 + 1. assign V312380 = V663638 + 1. assign V138591 = V020245. assign V299318 = V247469. assign V709843 = V247469 + 1. assign V657809 = V304705 + 1. assign V342854 = V524401. assign V784813 = V813398 + 1. assign V062340 = V784813 + 1. assign V500322 = V338832. assign V366537 = V637419 + 1. assign V813398 = V338189 - 1. assign V071250 = V530854 + 1. assign V419612 = V530854 - 1. assign V477411 = V792494 - 1. assign V003623 = V619092 + 1. assign V552063 = V374103. assign V940452 = V198600 + 1. assign V663638 = V976703 + 1. assign V816426 = V520314 + 1. assign V701102 = V999132. assign V897173 = V740784 + 1. assign V436602 = V940452 - 1. assign V208067 = V675337 - 1. assign V902381 = V637419. assign V016612 = V776371 - 1. assign V509843 = V282001 - 1. assign V858074 = V062340. assign V427677 = V216730. assign V675337 = V693116. assign V125237 = V929186 - 1. assign V105295 = V809852 - 1. assign V500379 = V813398 - 1. assign V114178 = V929186 + 1. assign V845873 = V314716 + 1. assign V870584 = V530854. assign V469863 = V845873 + 1. assign V228116 = V693116 + 1. assign V082074 = V314716. assign V735839 = V929186 + 1. assign V299681 = V154908 - 1. assign V970493 = V988618 - 1. assign V111978 = V306953 - 1. assign V447220 = V815861. assign V758992 = V988618 - 1. assign V254437 = V464298 + 1. assign V216730 = V005439 - 1. assign V055724 = V299681 - 1. assign V220731 = V198600. assign V517399 = V958635. assign V507076 = V082074 - 1. assign V481658 = V490762 - 1. assign V436041 = V693116 - 1. assign V902021 = V336058 + 1. assign V093682 = V065241. assign V179441 = V851710 - 1. assign V142651 = V720258 + 1. assign V988618 = V637419 + 1. assign V588861 = V436041 + 1. assign V774576 = V447220. assign V107143 = V288755 + 1. assign V873669 = V252222 + 1. assign V065241 = V444850. assign V070668 = V517399 + 1. assign V185485 = V513678. assign V776371 = V999132 - 1. assign V005439 = V114178 + 1. assign V207965 = V255678 + 1. assign V464298 = V318573 - 1. assign V630209 = V675337 - 1. assign V912450 = V191857. assign V513678 = V693116 + 1. assign V679955 = V657809 + 1. assign V816386 = V726589 - 1. assign V719753 = V127371. assign V740784 = V016612. assign V465546 = V500322. assign V619092 = V247469 - 1. assign V304705 = V845873 - 1. assign V205757 = V119948 + 1. assign V929186 = V999132 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V863005 = V070668. assign V583637 = V371411. assign V363164 = V558095 + 1. assign V308240 = V005439 + 1. assign V282001 = V815861 - 1. assign V140811 = V436041 - 1. assign V858115 = V653472. assign V146439 = V308240 - 1. assign V349558 = V222658. assign V490762 = V119948 - 1. assign V726589 = V958257. assign V318573 = V255678. assign V083369 = V815861 + 1. assign V815861 = V693116. assign V247469 = V693116 - 1. assign V444850 = V507076. assign V244149 = V858115. assign V338832 = V619092 + 1. assign V958635 = V588861 + 1. assign V861994 = V151808. assign V007215 = V735839 - 1. assign V539306 = V274932. assign V028698 = V044008 + 1. assign V314716 = V191857 - 1. assign V653472 = V693116 - 1. assign V828223 = V207965 - 1. assign V506639 = V465546. assign V989984 = V317379 + 1. assign V044008 = V282001 + 1. assign V999132 = V709843 + 1. assign V154908 = V588861. assign V637419 = V247469 - 1. assign V374103 = V436041 + 1. assign V962668 = V338189 - 1. assign V436771 = V958635 + 1. assign V306953 = V371411 - 1. assign V720258 = V776371 - 1. assign V319973 = V154908 - 1. assign V587418 = V424081. assign V792032 = V902381 - 1. assign V809852 = V861994 + 1. assign V763275 = V003623. assign V792494 = V338189. assign V430211 = V552063 - 1. assign V440912 = V244149 + 1. assign V151808 = V338189 + 1. assign V520314 = V436041 + 1. assign V524401 = V500322 + 1. assign V336058 = 6. assign V191857 = V247469 - 1. assign V295912 = V861994 - 1. assign V711821 = V314716 + 1. assign V366847 = V958257 - 1. assign V274932 = V709843 + 1. assign V198600 = V299681 + 1. assign V708588 = V342854. assign V418205 = V970493. assign V424081 = V114178 + 1. assign V222658 = V338832. assign V002977 = V142651. assign V708161 = V858074. assign V958257 = V784813. assign V020245 = V693116. assign V926375 = V619092. assign V288755 = V588861 + 1. assign V851710 = V274932 + 1. assign V279807 = V763275 - 1. assign V252222 = V587418. assign V866739 = V958635. assign V131707 = V142651. assign V197229 = V740784 - 1. assign V371411 = V198600. assign V677994 = V299681. assign V417927 = V314716 + 1. assign V127371 = V083369 - 1. assign V530854 = V314716 + 1. assign V018346 = V314716. assign V454161 = V588861. assign V755657 = V282001 + 1. assign V637642 = V436602. assign V317379 = V763275 + 1. assign V346961 = V776371 - 1. assign V119948 = V293613 - 1. assign V293613 = V374103. assign V866514 = V726589 - 1. assign V673982 = V663638 + 1. assign V976703 = V958635. assign V255678 = V299681 - 1. assign V576442 = V755657. assign V338189 = V293613 + 1. assign V558095 = V154908. assign V948854 = V191857 + 1. assign V312380 = V663638 + 1. assign V138591 = V020245. assign V299318 = V247469. assign V709843 = V247469 + 1. assign V657809 = V304705 + 1. assign V342854 = V524401. assign V784813 = V813398 + 1. assign V062340 = V784813 + 1. assign V500322 = V338832. assign V366537 = V637419 + 1. assign V813398 = V338189 - 1. assign V071250 = V530854 + 1. assign V419612 = V530854 - 1. assign V477411 = V792494 - 1. assign V003623 = V619092 + 1. assign V552063 = V374103. assign V940452 = V198600 + 1. assign V663638 = V976703 + 1. assign V816426 = V520314 + 1. assign V701102 = V999132. assign V897173 = V740784 + 1. assign V436602 = V940452 - 1. assign V208067 = V675337 - 1. assign V902381 = V637419. assign V016612 = V776371 - 1. assign V509843 = V282001 - 1. assign V858074 = V062340. assign V427677 = V216730. assign V675337 = V693116. assign V125237 = V929186 - 1. assign V105295 = V809852 - 1. assign V500379 = V813398 - 1. assign V114178 = V929186 + 1. assign V845873 = V314716 + 1. assign V870584 = V530854. assign V469863 = V845873 + 1. assign V228116 = V693116 + 1. assign V082074 = V314716. assign V735839 = V929186 + 1. assign V299681 = V154908 - 1. assign V970493 = V988618 - 1. assign V111978 = V306953 - 1. assign V447220 = V815861. assign V758992 = V988618 - 1. assign V254437 = V464298 + 1. assign V216730 = V005439 - 1. assign V055724 = V299681 - 1. assign V220731 = V198600. assign V517399 = V958635. assign V507076 = V082074 - 1. assign V481658 = V490762 - 1. assign V436041 = V693116 - 1. assign V902021 = V336058 + 1. assign V093682 = V065241. assign V179441 = V851710 - 1. assign V142651 = V720258 + 1. assign V988618 = V637419 + 1. assign V588861 = V436041 + 1. assign V774576 = V447220. assign V107143 = V288755 + 1. assign V873669 = V252222 + 1. assign V065241 = V444850. assign V070668 = V517399 + 1. assign V185485 = V513678. assign V776371 = V999132 - 1. assign V005439 = V114178 + 1. assign V207965 = V255678 + 1. assign V464298 = V318573 - 1. assign V630209 = V675337 - 1. assign V912450 = V191857. assign V513678 = V693116 + 1. assign V679955 = V657809 + 1. assign V816386 = V726589 - 1. assign V719753 = V127371. assign V740784 = V016612. assign V465546 = V500322. assign V619092 = V247469 - 1. assign V304705 = V845873 - 1. assign V205757 = V119948 + 1. assign V929186 = V999132 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV336058 = 6;\n\nFrom these direct assignment(s), we have: \nV902021 = V336058 + 1 = 6 + 1 =7;\nNo other variables can be derived from V902021;\nNo other variables can be derived from V336058;\n\nNow we have done all the calculations. Derived variables are:\nV336058 = 6;\nV902021 = 7;\n\nNow we have finished this problem. ANSWER:\nV336058\n", "role": "assistant" } ]

[ "V452295" ]

[ { "content": "<context>\nassign V024085 = V382723. assign V208970 = V934749 + 1. assign V594536 = V963443. assign V636639 = V783714. assign V312710 = V793687 - 1. assign V256068 = V934749 + 1. assign V306842 = V462424 - 1. assign V273972 = V490156. assign V458232 = V692555. assign V094337 = V559167. assign V882266 = V933431 + 1. assign V958918 = V328787. assign V692555 = V126875. assign V179069 = V072071 + 1. assign V649300 = V084692 + 1. assign V277176 = V487112 - 1. assign V343677 = V094337 - 1. assign V953338 = V295155 - 1. assign V842007 = V559167. assign V060831 = V739495 - 1. assign V963443 = V141753. assign V091327 = V772934 - 1. assign V933431 = V353517 + 1. assign V577394 = V072071 - 1. assign V425323 = V934749 - 1. assign V096737 = V229124 + 1. assign V595981 = V295155 + 1. assign V278640 = V865524 - 1. assign V364658 = V011014 - 1. assign V739495 = V011014 + 1. assign V911285 = V452295 - 1. assign V444986 = V887980. assign V032339 = V565288 + 1. assign V776108 = V494063 - 1. assign V067489 = V636639 - 1. assign V249599 = V720572 - 1. assign V382723 = V783714. assign V181162 = V277176 + 1. assign V259778 = V561088 + 1. assign V462424 = V490156 - 1. assign V073838 = V739495. assign V874558 = V141753. assign V995420 = V703130. assign V011014 = V490156. assign V308940 = V490156 - 1. assign V229124 = V490156. assign V577619 = V052988 + 1. assign V559167 = V549907 + 1. assign V621598 = V179069 + 1. assign V133824 = V942647. assign V953309 = V181162 + 1. assign V962582 = V752820. assign V295155 = V963443 + 1. assign V333414 = V295155 + 1. assign V743404 = V067570. assign V228833 = V179069 + 1. assign V753243 = V364658. assign V650301 = V565288 - 1. assign V928632 = V793687 - 1. assign V494063 = V568946 - 1. assign V783714 = V141753 - 1. assign V549907 = V804692 - 1. assign V561088 = V256068 - 1. assign V852088 = V958918 + 1. assign V224248 = V508104 + 1. assign V333839 = V636639. assign V290691 = V141753. assign V037963 = V595981. assign V126875 = V229124. assign V688253 = V052988 + 1. assign V272688 = V509840. assign V203905 = V343677. assign V414695 = V306842 - 1. assign V072071 = V057248 + 1. assign V047190 = V141753. assign V351942 = V126875 + 1. assign V966533 = V229124 + 1. assign V551748 = V739495 - 1. assign V762157 = V594536. assign V487112 = V514887 + 1. assign V218532 = V585167 - 1. assign V141906 = V804692. assign V052988 = V502795 - 1. assign V865524 = V057248 + 1. assign V578588 = V163413. assign V580881 = V551748. assign V515660 = V514887 + 1. assign V903224 = V382723 + 1. assign V631378 = V783714 - 1. assign V190415 = V928632. assign V764224 = V907371. assign V349563 = V490156 - 1. assign V720572 = V926918 - 1. assign V328787 = V692555 - 1. assign V538230 = V514887 - 1. assign V769611 = V342634 + 1. assign V047256 = V011014 - 1. assign V752820 = V104566 + 1. assign V426705 = V538230 + 1. assign V997512 = V508104 - 1. assign V797266 = V764224 - 1. assign V777125 = V636639 - 1. assign V452295 = 3. assign V343032 = V462424 - 1. assign V163413 = V353517 + 1. assign V912316 = V481468 + 1. assign V934749 = V692555. assign V656624 = V295155. assign V793687 = V514887. assign V057248 = V490156 + 1. assign V565288 = V349563 - 1. assign V202079 = V050020 - 1. assign V383934 = V490156 + 1. assign V926918 = V692555 - 1. assign V970928 = V229124 + 1. assign V509840 = V306842 + 1. assign V342634 = V208970. assign V243180 = V306842 + 1. assign V224777 = V490156 + 1. assign V547291 = V290691. assign V366751 = V408069 + 1. assign V481468 = V306842. assign V405549 = V559167. assign V269838 = V509840. assign V508104 = V057248 - 1. assign V034883 = V797266. assign V007478 = V047256 - 1. assign V111869 = V720572 - 1. assign V434381 = V865524. assign V585167 = V874558 + 1. assign V109551 = V383934 + 1. assign V907371 = V057248. assign V625363 = V163413 + 1. assign V067570 = V942647. assign V982411 = V444986 + 1. assign V084692 = V509840 + 1. assign V841071 = V462424 + 1. assign V804692 = V306842 + 1. assign V275001 = V462424 - 1. assign V772934 = V133824 - 1. assign V876436 = V490156 + 1. assign V408069 = V364658 - 1. assign V313353 = V104566 + 1. assign V887980 = V636639 - 1. assign V644561 = V067489. assign V703130 = V306842. assign V942647 = V462424 + 1. assign V982255 = V278640. assign V502795 = V490156. assign V621774 = V487112 + 1. assign V366489 = V568946 + 1. assign V050020 = V229124. assign V503023 = V272688 + 1. assign V046792 = V295155. assign V353517 = V272688. assign V798866 = V549907 - 1. assign V683396 = V333839 - 1. assign V943445 = V007478. assign V142427 = V636639 - 1. assign V483610 = V876436. assign V104566 = V934749 + 1. assign V389962 = V982255. assign V141753 = V072071 + 1. assign V374218 = V308940 + 1. assign V514887 = V490156 + 1. assign V656342 = V208970 + 1. assign V253350 = V434381 + 1. assign V623508 = V277176. assign V107303 = V032339. assign V568946 = V383934 + 1. assign V771995 = V047190 - 1. assign V090419 = V444986.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V024085 = V382723. assign V208970 = V934749 + 1. assign V594536 = V963443. assign V636639 = V783714. assign V312710 = V793687 - 1. assign V256068 = V934749 + 1. assign V306842 = V462424 - 1. assign V273972 = V490156. assign V458232 = V692555. assign V094337 = V559167. assign V882266 = V933431 + 1. assign V958918 = V328787. assign V692555 = V126875. assign V179069 = V072071 + 1. assign V649300 = V084692 + 1. assign V277176 = V487112 - 1. assign V343677 = V094337 - 1. assign V953338 = V295155 - 1. assign V842007 = V559167. assign V060831 = V739495 - 1. assign V963443 = V141753. assign V091327 = V772934 - 1. assign V933431 = V353517 + 1. assign V577394 = V072071 - 1. assign V425323 = V934749 - 1. assign V096737 = V229124 + 1. assign V595981 = V295155 + 1. assign V278640 = V865524 - 1. assign V364658 = V011014 - 1. assign V739495 = V011014 + 1. assign V911285 = V452295 - 1. assign V444986 = V887980. assign V032339 = V565288 + 1. assign V776108 = V494063 - 1. assign V067489 = V636639 - 1. assign V249599 = V720572 - 1. assign V382723 = V783714. assign V181162 = V277176 + 1. assign V259778 = V561088 + 1. assign V462424 = V490156 - 1. assign V073838 = V739495. assign V874558 = V141753. assign V995420 = V703130. assign V011014 = V490156. assign V308940 = V490156 - 1. assign V229124 = V490156. assign V577619 = V052988 + 1. assign V559167 = V549907 + 1. assign V621598 = V179069 + 1. assign V133824 = V942647. assign V953309 = V181162 + 1. assign V962582 = V752820. assign V295155 = V963443 + 1. assign V333414 = V295155 + 1. assign V743404 = V067570. assign V228833 = V179069 + 1. assign V753243 = V364658. assign V650301 = V565288 - 1. assign V928632 = V793687 - 1. assign V494063 = V568946 - 1. assign V783714 = V141753 - 1. assign V549907 = V804692 - 1. assign V561088 = V256068 - 1. assign V852088 = V958918 + 1. assign V224248 = V508104 + 1. assign V333839 = V636639. assign V290691 = V141753. assign V037963 = V595981. assign V126875 = V229124. assign V688253 = V052988 + 1. assign V272688 = V509840. assign V203905 = V343677. assign V414695 = V306842 - 1. assign V072071 = V057248 + 1. assign V047190 = V141753. assign V351942 = V126875 + 1. assign V966533 = V229124 + 1. assign V551748 = V739495 - 1. assign V762157 = V594536. assign V487112 = V514887 + 1. assign V218532 = V585167 - 1. assign V141906 = V804692. assign V052988 = V502795 - 1. assign V865524 = V057248 + 1. assign V578588 = V163413. assign V580881 = V551748. assign V515660 = V514887 + 1. assign V903224 = V382723 + 1. assign V631378 = V783714 - 1. assign V190415 = V928632. assign V764224 = V907371. assign V349563 = V490156 - 1. assign V720572 = V926918 - 1. assign V328787 = V692555 - 1. assign V538230 = V514887 - 1. assign V769611 = V342634 + 1. assign V047256 = V011014 - 1. assign V752820 = V104566 + 1. assign V426705 = V538230 + 1. assign V997512 = V508104 - 1. assign V797266 = V764224 - 1. assign V777125 = V636639 - 1. assign V452295 = 3. assign V343032 = V462424 - 1. assign V163413 = V353517 + 1. assign V912316 = V481468 + 1. assign V934749 = V692555. assign V656624 = V295155. assign V793687 = V514887. assign V057248 = V490156 + 1. assign V565288 = V349563 - 1. assign V202079 = V050020 - 1. assign V383934 = V490156 + 1. assign V926918 = V692555 - 1. assign V970928 = V229124 + 1. assign V509840 = V306842 + 1. assign V342634 = V208970. assign V243180 = V306842 + 1. assign V224777 = V490156 + 1. assign V547291 = V290691. assign V366751 = V408069 + 1. assign V481468 = V306842. assign V405549 = V559167. assign V269838 = V509840. assign V508104 = V057248 - 1. assign V034883 = V797266. assign V007478 = V047256 - 1. assign V111869 = V720572 - 1. assign V434381 = V865524. assign V585167 = V874558 + 1. assign V109551 = V383934 + 1. assign V907371 = V057248. assign V625363 = V163413 + 1. assign V067570 = V942647. assign V982411 = V444986 + 1. assign V084692 = V509840 + 1. assign V841071 = V462424 + 1. assign V804692 = V306842 + 1. assign V275001 = V462424 - 1. assign V772934 = V133824 - 1. assign V876436 = V490156 + 1. assign V408069 = V364658 - 1. assign V313353 = V104566 + 1. assign V887980 = V636639 - 1. assign V644561 = V067489. assign V703130 = V306842. assign V942647 = V462424 + 1. assign V982255 = V278640. assign V502795 = V490156. assign V621774 = V487112 + 1. assign V366489 = V568946 + 1. assign V050020 = V229124. assign V503023 = V272688 + 1. assign V046792 = V295155. assign V353517 = V272688. assign V798866 = V549907 - 1. assign V683396 = V333839 - 1. assign V943445 = V007478. assign V142427 = V636639 - 1. assign V483610 = V876436. assign V104566 = V934749 + 1. assign V389962 = V982255. assign V141753 = V072071 + 1. assign V374218 = V308940 + 1. assign V514887 = V490156 + 1. assign V656342 = V208970 + 1. assign V253350 = V434381 + 1. assign V623508 = V277176. assign V107303 = V032339. assign V568946 = V383934 + 1. assign V771995 = V047190 - 1. assign V090419 = V444986.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV452295 = 3;\n\nFrom these direct assignment(s), we have: \nV911285 = V452295 - 1 = 3 - 1 =2;\nNo other variables can be derived from V911285;\nNo other variables can be derived from V452295;\n\nNow we have done all the calculations. Derived variables are:\nV452295 = 3;\nV911285 = 2;\n\nNow we have finished this problem. ANSWER:\nV452295\n", "role": "assistant" } ]

[ "V314015" ]

[ { "content": "<context>\nassign V527046 = V656417 - 1. assign V515714 = V775285 - 1. assign V437747 = V503696 + 1. assign V390070 = V363777. assign V239022 = V292785 + 1. assign V417255 = V252023. assign V238236 = V220457. assign V908410 = V554414. assign V659018 = V741702 + 1. assign V337587 = V816229 - 1. assign V503696 = V279537 + 1. assign V253842 = V150027. assign V187905 = V910464 - 1. assign V582276 = V279537. assign V176371 = V594793. assign V948113 = V925075 - 1. assign V997758 = V977651. assign V910464 = V908410. assign V633967 = V498042. assign V077666 = V561660 + 1. assign V850161 = V740795 - 1. assign V959483 = V302898. assign V213424 = V656417. assign V843914 = V809029. assign V176572 = V064522. assign V809029 = V528281 - 1. assign V133953 = V793318 - 1. assign V334042 = V501057 + 1. assign V907475 = V805719 - 1. assign V573251 = V728060. assign V853187 = V292785 - 1. assign V429848 = V537438. assign V561660 = V620034. assign V388475 = V740795 + 1. assign V590982 = V064522 - 1. assign V472636 = V582495 + 1. assign V223741 = V620034 + 1. assign V463632 = V201069 + 1. assign V302898 = V594793. assign V945833 = V923192 - 1. assign V552239 = V537438 + 1. assign V775285 = V109714. assign V575937 = V102668 - 1. assign V809425 = V910464. assign V143676 = V552239 + 1. assign V252023 = V923192 + 1. assign V109714 = V271978 - 1. assign V656417 = V891151. assign V746826 = V793318 - 1. assign V955589 = V238236 + 1. assign V620034 = V102668 - 1. assign V732219 = V201069. assign V631968 = V809029 - 1. assign V287351 = V501057 + 1. assign V292785 = V225151. assign V501057 = V554414 - 1. assign V265739 = V501057. assign V946335 = V816229 - 1. assign V977651 = V447368. assign V144687 = V809425 + 1. assign V850371 = V536714. assign V324937 = V775285. assign V918072 = V463632 + 1. assign V107056 = V236031 - 1. assign V834771 = V728060 + 1. assign V323323 = V923192. assign V971446 = V083167 + 1. assign V467428 = V349109 + 1. assign V678707 = V575937 + 1. assign V690481 = V436846. assign V236031 = V891993 - 1. assign V680054 = V775285 - 1. assign V436846 = V923192 - 1. assign V150027 = V923192. assign V356314 = V308275 + 1. assign V220457 = V501057. assign V805719 = V554414 + 1. assign V816229 = V590982 - 1. assign V806795 = V220457 - 1. assign V474481 = V805719 + 1. assign V201069 = V923192 - 1. assign V807640 = V741702 - 1. assign V281034 = V279537 + 1. assign V932936 = V437747 - 1. assign V314015 = 0. assign V568492 = V740795 - 1. assign V121939 = V809029 - 1. assign V242991 = V984460 - 1. assign V047147 = V537438 + 1. assign V859516 = V793318 + 1. assign V714082 = V437747 + 1. assign V271978 = V923192 - 1. assign V282044 = V287351. assign V793318 = V925075. assign V855876 = V058529. assign V102668 = V811504 - 1. assign V544470 = V633967 - 1. assign V942666 = V527046 + 1. assign V534825 = V109714. assign V984460 = V732219 - 1. assign V574678 = V977651 - 1. assign V058529 = V150027 - 1. assign V363777 = V107056 + 1. assign V269234 = V102668 - 1. assign V474044 = V498042 + 1. assign V267595 = V891151 + 1. assign V349109 = V271978 + 1. assign V891151 = V554414 + 1. assign V582495 = V271978. assign V537438 = V923192 + 1. assign V130982 = V337587 + 1. assign V946031 = V979903. assign V052511 = V349109. assign V279537 = V811504 - 1. assign V889281 = V732219 + 1. assign V923192 = V891993 + 1. assign V308275 = V287351. assign V035881 = V863293 + 1. assign V744266 = V925075. assign V498042 = V501057 + 1. assign V776709 = V474044 + 1. assign V528281 = V267595. assign V257489 = V918072 - 1. assign V694239 = V918072 + 1. assign V594793 = V282044 + 1. assign V443608 = V436846 + 1. assign V728060 = V267595 - 1. assign V741702 = V594793. assign V646801 = V077666. assign V475600 = V732219 - 1. assign V290902 = V032753 + 1. assign V536714 = V575937 + 1. assign V171188 = V271978 + 1. assign V225151 = V552239. assign V740423 = V889281 + 1. assign V064522 = V537438 - 1. assign V949506 = V238236 + 1. assign V403410 = V107056. assign V032753 = V282044 + 1. assign V368557 = V323323 + 1. assign V979903 = V623306. assign V083167 = V590982 - 1. assign V015412 = V143676. assign V554414 = V891993 - 1. assign V110171 = V594793 - 1. assign V814954 = V559873 + 1. assign V287809 = V631968 + 1. assign V785339 = V620034 + 1. assign V257704 = V236031 + 1. assign V447368 = V501057 + 1. assign V552910 = V176371. assign V008677 = V323323 - 1. assign V863293 = V474044 - 1. assign V740795 = V805719 - 1. assign V208117 = V955589. assign V786430 = V554414 + 1. assign V811504 = V805719 - 1. assign V559873 = V977651 - 1. assign V364057 = V740795. assign V871642 = V807640. assign V133926 = V314015 - 1. assign V339567 = V552910 + 1. assign V623306 = V271978 - 1. assign V925075 = V537438 + 1. assign V987970 = V238236 - 1. assign V292961 = V282044. assign V383263 = V436846. assign V091572 = V201069 - 1. assign V864677 = V110171 + 1. assign V190184 = V265739. assign V058401 = V955589 - 1. assign V685264 = V740423 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V527046 = V656417 - 1. assign V515714 = V775285 - 1. assign V437747 = V503696 + 1. assign V390070 = V363777. assign V239022 = V292785 + 1. assign V417255 = V252023. assign V238236 = V220457. assign V908410 = V554414. assign V659018 = V741702 + 1. assign V337587 = V816229 - 1. assign V503696 = V279537 + 1. assign V253842 = V150027. assign V187905 = V910464 - 1. assign V582276 = V279537. assign V176371 = V594793. assign V948113 = V925075 - 1. assign V997758 = V977651. assign V910464 = V908410. assign V633967 = V498042. assign V077666 = V561660 + 1. assign V850161 = V740795 - 1. assign V959483 = V302898. assign V213424 = V656417. assign V843914 = V809029. assign V176572 = V064522. assign V809029 = V528281 - 1. assign V133953 = V793318 - 1. assign V334042 = V501057 + 1. assign V907475 = V805719 - 1. assign V573251 = V728060. assign V853187 = V292785 - 1. assign V429848 = V537438. assign V561660 = V620034. assign V388475 = V740795 + 1. assign V590982 = V064522 - 1. assign V472636 = V582495 + 1. assign V223741 = V620034 + 1. assign V463632 = V201069 + 1. assign V302898 = V594793. assign V945833 = V923192 - 1. assign V552239 = V537438 + 1. assign V775285 = V109714. assign V575937 = V102668 - 1. assign V809425 = V910464. assign V143676 = V552239 + 1. assign V252023 = V923192 + 1. assign V109714 = V271978 - 1. assign V656417 = V891151. assign V746826 = V793318 - 1. assign V955589 = V238236 + 1. assign V620034 = V102668 - 1. assign V732219 = V201069. assign V631968 = V809029 - 1. assign V287351 = V501057 + 1. assign V292785 = V225151. assign V501057 = V554414 - 1. assign V265739 = V501057. assign V946335 = V816229 - 1. assign V977651 = V447368. assign V144687 = V809425 + 1. assign V850371 = V536714. assign V324937 = V775285. assign V918072 = V463632 + 1. assign V107056 = V236031 - 1. assign V834771 = V728060 + 1. assign V323323 = V923192. assign V971446 = V083167 + 1. assign V467428 = V349109 + 1. assign V678707 = V575937 + 1. assign V690481 = V436846. assign V236031 = V891993 - 1. assign V680054 = V775285 - 1. assign V436846 = V923192 - 1. assign V150027 = V923192. assign V356314 = V308275 + 1. assign V220457 = V501057. assign V805719 = V554414 + 1. assign V816229 = V590982 - 1. assign V806795 = V220457 - 1. assign V474481 = V805719 + 1. assign V201069 = V923192 - 1. assign V807640 = V741702 - 1. assign V281034 = V279537 + 1. assign V932936 = V437747 - 1. assign V314015 = 0. assign V568492 = V740795 - 1. assign V121939 = V809029 - 1. assign V242991 = V984460 - 1. assign V047147 = V537438 + 1. assign V859516 = V793318 + 1. assign V714082 = V437747 + 1. assign V271978 = V923192 - 1. assign V282044 = V287351. assign V793318 = V925075. assign V855876 = V058529. assign V102668 = V811504 - 1. assign V544470 = V633967 - 1. assign V942666 = V527046 + 1. assign V534825 = V109714. assign V984460 = V732219 - 1. assign V574678 = V977651 - 1. assign V058529 = V150027 - 1. assign V363777 = V107056 + 1. assign V269234 = V102668 - 1. assign V474044 = V498042 + 1. assign V267595 = V891151 + 1. assign V349109 = V271978 + 1. assign V891151 = V554414 + 1. assign V582495 = V271978. assign V537438 = V923192 + 1. assign V130982 = V337587 + 1. assign V946031 = V979903. assign V052511 = V349109. assign V279537 = V811504 - 1. assign V889281 = V732219 + 1. assign V923192 = V891993 + 1. assign V308275 = V287351. assign V035881 = V863293 + 1. assign V744266 = V925075. assign V498042 = V501057 + 1. assign V776709 = V474044 + 1. assign V528281 = V267595. assign V257489 = V918072 - 1. assign V694239 = V918072 + 1. assign V594793 = V282044 + 1. assign V443608 = V436846 + 1. assign V728060 = V267595 - 1. assign V741702 = V594793. assign V646801 = V077666. assign V475600 = V732219 - 1. assign V290902 = V032753 + 1. assign V536714 = V575937 + 1. assign V171188 = V271978 + 1. assign V225151 = V552239. assign V740423 = V889281 + 1. assign V064522 = V537438 - 1. assign V949506 = V238236 + 1. assign V403410 = V107056. assign V032753 = V282044 + 1. assign V368557 = V323323 + 1. assign V979903 = V623306. assign V083167 = V590982 - 1. assign V015412 = V143676. assign V554414 = V891993 - 1. assign V110171 = V594793 - 1. assign V814954 = V559873 + 1. assign V287809 = V631968 + 1. assign V785339 = V620034 + 1. assign V257704 = V236031 + 1. assign V447368 = V501057 + 1. assign V552910 = V176371. assign V008677 = V323323 - 1. assign V863293 = V474044 - 1. assign V740795 = V805719 - 1. assign V208117 = V955589. assign V786430 = V554414 + 1. assign V811504 = V805719 - 1. assign V559873 = V977651 - 1. assign V364057 = V740795. assign V871642 = V807640. assign V133926 = V314015 - 1. assign V339567 = V552910 + 1. assign V623306 = V271978 - 1. assign V925075 = V537438 + 1. assign V987970 = V238236 - 1. assign V292961 = V282044. assign V383263 = V436846. assign V091572 = V201069 - 1. assign V864677 = V110171 + 1. assign V190184 = V265739. assign V058401 = V955589 - 1. assign V685264 = V740423 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV314015 = 0;\n\nFrom these direct assignment(s), we have: \nV133926 = V314015 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V133926;\nNo other variables can be derived from V314015;\n\nNow we have done all the calculations. Derived variables are:\nV314015 = 0;\nV133926 = -1;\n\nNow we have finished this problem. ANSWER:\nV314015\n", "role": "assistant" } ]

[ "V076393" ]

[ { "content": "<context>\nassign V334474 = V732249. assign V630727 = V052312. assign V665263 = V756997 - 1. assign V426452 = V454186. assign V987981 = V087387 - 1. assign V650521 = V210620 - 1. assign V523751 = V665263. assign V597460 = V441950 + 1. assign V758525 = V909507 + 1. assign V187429 = V103396 + 1. assign V634830 = V103396 - 1. assign V873712 = V137729 + 1. assign V965693 = V801300 + 1. assign V847192 = V905555 - 1. assign V665702 = V603800 - 1. assign V103396 = V137729 + 1. assign V739354 = V015917. assign V355395 = V966656 + 1. assign V040445 = V318285 + 1. assign V896860 = V410837. assign V691227 = V459750 - 1. assign V410837 = V227625 - 1. assign V563429 = V708644 + 1. assign V832379 = V909507. assign V983843 = V603800 + 1. assign V370024 = V626983 + 1. assign V147656 = V441950 - 1. assign V706062 = V498185. assign V812418 = V681779 + 1. assign V015917 = V847192 - 1. assign V613487 = V083446 - 1. assign V460600 = V137729 + 1. assign V217196 = V083446 + 1. assign V213079 = V137729 + 1. assign V036990 = V895651 + 1. assign V418429 = V498185 - 1. assign V292529 = V603800. assign V035409 = V498185. assign V547897 = V280926 + 1. assign V860186 = V137729. assign V489792 = V227625 + 1. assign V067773 = V035409. assign V312969 = V410837 + 1. assign V419238 = V416597 - 1. assign V137729 = V175405 + 1. assign V280926 = V213079. assign V708496 = V555560. assign V345631 = V370024 - 1. assign V133231 = V328841. assign V242278 = V801300. assign V214512 = V810732 + 1. assign V175405 = V775977 - 1. assign V895651 = V265986. assign V355237 = V103396. assign V862817 = V265986. assign V909507 = V103396 - 1. assign V083446 = V137729. assign V093812 = V103396 + 1. assign V976120 = V213079 + 1. assign V416597 = V723546 + 1. assign V435906 = V563429 + 1. assign V498185 = V052312. assign V812344 = V425670. assign V555560 = V052312 + 1. assign V730400 = V832379 + 1. assign V488632 = V145476. assign V962516 = V361671. assign V979589 = 7. assign V972090 = V430263 + 1. assign V758892 = V175405 + 1. assign V438588 = V873712 - 1. assign V432617 = V613565 - 1. assign V488748 = V137729 - 1. assign V678711 = V426452. assign V602571 = V265986. assign V425670 = V072248. assign V581915 = V328841 - 1. assign V927504 = V148694 - 1. assign V400783 = V460600. assign V525457 = V730400 - 1. assign V172935 = V976120 - 1. assign V573617 = V265986 - 1. assign V966656 = V280926. assign V327476 = V242278. assign V176832 = V137729 - 1. assign V094896 = V801300. assign V227443 = V992059 - 1. assign V715722 = V227625 + 1. assign V764200 = V603800. assign V328841 = V213079 - 1. assign V180129 = V613565 - 1. assign V587823 = V708644. assign V656995 = V148694 + 1. assign V076393 = V979589 + 1. assign V421603 = V758525. assign V361671 = V175405. assign V542957 = V972090 + 1. assign V000140 = V758525. assign V565251 = V847192 + 1. assign V227625 = V603800. assign V603538 = V603800 + 1. assign V176872 = V694602 + 1. assign V814783 = V000140. assign V087387 = V909507 + 1. assign V982229 = V992059. assign V210620 = V714354 - 1. assign V200212 = V172935. assign V456327 = V706062 - 1. assign V534051 = V172935 + 1. assign V394304 = V896860 + 1. assign V708644 = V727482. assign V648401 = V052312. assign V613565 = V087387. assign V094401 = V482216. assign V440396 = V573617 + 1. assign V454186 = V775977 + 1. assign V620200 = V394931 + 1. assign V801300 = V227443 + 1. assign V389417 = V775977 + 1. assign V532913 = V581915. assign V203080 = V000140. assign V172496 = V681779. assign V723546 = V626983 - 1. assign V276468 = V227443. assign V067078 = V547927 + 1. assign V145476 = V525457 - 1. assign V612757 = V040445. assign V148694 = V581915. assign V626983 = V764200 - 1. assign V742631 = V764200 + 1. assign V992059 = V103396 + 1. assign V587330 = V832379 - 1. assign V727482 = V137729 + 1. assign V694602 = V547927 - 1. assign V991135 = V227443 - 1. assign V688138 = V665263. assign V318285 = V529276 + 1. assign V529276 = V991135. assign V078862 = V350019 + 1. assign V596507 = V175405 - 1. assign V733262 = V681779 + 1. assign V023366 = V909507. assign V603800 = V775977. assign V430263 = V626983. assign V312031 = V706062. assign V905555 = V727482 - 1. assign V441950 = V227625 + 1. assign V756997 = V441950 + 1. assign V420645 = V523751 + 1. assign V810732 = V052312 + 1. assign V858628 = V456327 + 1. assign V265986 = V175405 + 1. assign V482216 = V361671 - 1. assign V459750 = V648401 + 1. assign V681779 = V596507. assign V414278 = V542957 + 1. assign V493702 = V172496 - 1. assign V096831 = V812418 + 1. assign V394931 = V529276. assign V318341 = V909507. assign V596273 = V991135 - 1. assign V350019 = V067078 - 1. assign V260103 = V758892 - 1. assign V732249 = V991135 + 1. assign V289935 = V210620. assign V072248 = V742631 + 1. assign V714354 = V137729 + 1. assign V814432 = V289935. assign V950558 = V596507. assign V296064 = V603538. assign V547927 = V175405 + 1. assign V052312 = V603800 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V334474 = V732249. assign V630727 = V052312. assign V665263 = V756997 - 1. assign V426452 = V454186. assign V987981 = V087387 - 1. assign V650521 = V210620 - 1. assign V523751 = V665263. assign V597460 = V441950 + 1. assign V758525 = V909507 + 1. assign V187429 = V103396 + 1. assign V634830 = V103396 - 1. assign V873712 = V137729 + 1. assign V965693 = V801300 + 1. assign V847192 = V905555 - 1. assign V665702 = V603800 - 1. assign V103396 = V137729 + 1. assign V739354 = V015917. assign V355395 = V966656 + 1. assign V040445 = V318285 + 1. assign V896860 = V410837. assign V691227 = V459750 - 1. assign V410837 = V227625 - 1. assign V563429 = V708644 + 1. assign V832379 = V909507. assign V983843 = V603800 + 1. assign V370024 = V626983 + 1. assign V147656 = V441950 - 1. assign V706062 = V498185. assign V812418 = V681779 + 1. assign V015917 = V847192 - 1. assign V613487 = V083446 - 1. assign V460600 = V137729 + 1. assign V217196 = V083446 + 1. assign V213079 = V137729 + 1. assign V036990 = V895651 + 1. assign V418429 = V498185 - 1. assign V292529 = V603800. assign V035409 = V498185. assign V547897 = V280926 + 1. assign V860186 = V137729. assign V489792 = V227625 + 1. assign V067773 = V035409. assign V312969 = V410837 + 1. assign V419238 = V416597 - 1. assign V137729 = V175405 + 1. assign V280926 = V213079. assign V708496 = V555560. assign V345631 = V370024 - 1. assign V133231 = V328841. assign V242278 = V801300. assign V214512 = V810732 + 1. assign V175405 = V775977 - 1. assign V895651 = V265986. assign V355237 = V103396. assign V862817 = V265986. assign V909507 = V103396 - 1. assign V083446 = V137729. assign V093812 = V103396 + 1. assign V976120 = V213079 + 1. assign V416597 = V723546 + 1. assign V435906 = V563429 + 1. assign V498185 = V052312. assign V812344 = V425670. assign V555560 = V052312 + 1. assign V730400 = V832379 + 1. assign V488632 = V145476. assign V962516 = V361671. assign V979589 = 7. assign V972090 = V430263 + 1. assign V758892 = V175405 + 1. assign V438588 = V873712 - 1. assign V432617 = V613565 - 1. assign V488748 = V137729 - 1. assign V678711 = V426452. assign V602571 = V265986. assign V425670 = V072248. assign V581915 = V328841 - 1. assign V927504 = V148694 - 1. assign V400783 = V460600. assign V525457 = V730400 - 1. assign V172935 = V976120 - 1. assign V573617 = V265986 - 1. assign V966656 = V280926. assign V327476 = V242278. assign V176832 = V137729 - 1. assign V094896 = V801300. assign V227443 = V992059 - 1. assign V715722 = V227625 + 1. assign V764200 = V603800. assign V328841 = V213079 - 1. assign V180129 = V613565 - 1. assign V587823 = V708644. assign V656995 = V148694 + 1. assign V076393 = V979589 + 1. assign V421603 = V758525. assign V361671 = V175405. assign V542957 = V972090 + 1. assign V000140 = V758525. assign V565251 = V847192 + 1. assign V227625 = V603800. assign V603538 = V603800 + 1. assign V176872 = V694602 + 1. assign V814783 = V000140. assign V087387 = V909507 + 1. assign V982229 = V992059. assign V210620 = V714354 - 1. assign V200212 = V172935. assign V456327 = V706062 - 1. assign V534051 = V172935 + 1. assign V394304 = V896860 + 1. assign V708644 = V727482. assign V648401 = V052312. assign V613565 = V087387. assign V094401 = V482216. assign V440396 = V573617 + 1. assign V454186 = V775977 + 1. assign V620200 = V394931 + 1. assign V801300 = V227443 + 1. assign V389417 = V775977 + 1. assign V532913 = V581915. assign V203080 = V000140. assign V172496 = V681779. assign V723546 = V626983 - 1. assign V276468 = V227443. assign V067078 = V547927 + 1. assign V145476 = V525457 - 1. assign V612757 = V040445. assign V148694 = V581915. assign V626983 = V764200 - 1. assign V742631 = V764200 + 1. assign V992059 = V103396 + 1. assign V587330 = V832379 - 1. assign V727482 = V137729 + 1. assign V694602 = V547927 - 1. assign V991135 = V227443 - 1. assign V688138 = V665263. assign V318285 = V529276 + 1. assign V529276 = V991135. assign V078862 = V350019 + 1. assign V596507 = V175405 - 1. assign V733262 = V681779 + 1. assign V023366 = V909507. assign V603800 = V775977. assign V430263 = V626983. assign V312031 = V706062. assign V905555 = V727482 - 1. assign V441950 = V227625 + 1. assign V756997 = V441950 + 1. assign V420645 = V523751 + 1. assign V810732 = V052312 + 1. assign V858628 = V456327 + 1. assign V265986 = V175405 + 1. assign V482216 = V361671 - 1. assign V459750 = V648401 + 1. assign V681779 = V596507. assign V414278 = V542957 + 1. assign V493702 = V172496 - 1. assign V096831 = V812418 + 1. assign V394931 = V529276. assign V318341 = V909507. assign V596273 = V991135 - 1. assign V350019 = V067078 - 1. assign V260103 = V758892 - 1. assign V732249 = V991135 + 1. assign V289935 = V210620. assign V072248 = V742631 + 1. assign V714354 = V137729 + 1. assign V814432 = V289935. assign V950558 = V596507. assign V296064 = V603538. assign V547927 = V175405 + 1. assign V052312 = V603800 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV979589 = 7;\n\nFrom these direct assignment(s), we have: \nV076393 = V979589 + 1 = 7 + 1 =8;\nNo other variables can be derived from V076393;\nNo other variables can be derived from V979589;\n\nNow we have done all the calculations. Derived variables are:\nV979589 = 7;\nV076393 = 8;\n\nNow we have finished this problem. ANSWER:\nV076393\n", "role": "assistant" } ]

[ "V229205", "V546349" ]

[ { "content": "<context>\nassign V687646 = V643728. assign V959991 = V938840 + 1. assign V009726 = V499312. assign V925290 = V269264 - 1. assign V053779 = V853450 + 1. assign V004410 = V099821 - 1. assign V045176 = V145728 + 1. assign V512013 = V429828. assign V795481 = V646080 - 1. assign V939441 = V708455 + 1. assign V891343 = V937611 + 1. assign V825330 = V548327 + 1. assign V537000 = V779095 - 1. assign V728912 = V547656. assign V400229 = V062882. assign V665481 = V493430. assign V497259 = V040788. assign V913859 = V609407. assign V595056 = V062882 + 1. assign V187220 = V590394 - 1. assign V059379 = V814241 + 1. assign V393853 = V448718. assign V652647 = V269264. assign V233004 = V801416 + 1. assign V801416 = V779095 - 1. assign V510131 = V675554. assign V675554 = V124467 + 1. assign V623148 = V187220. assign V143231 = V024116. assign V485887 = V814241 + 1. assign V950092 = V278382. assign V290795 = V646080. assign V898472 = V145728 - 1. assign V879683 = V996239 - 1. assign V093272 = V911632 - 1. assign V336935 = V321664 - 1. assign V065527 = V609407 + 1. assign V011663 = V029436 - 1. assign V658441 = V640103. assign V253541 = V072176 - 1. assign V452762 = V004410. assign V917082 = V493430 - 1. assign V733503 = V292101. assign V031526 = V686243 - 1. assign V258218 = V009726 - 1. assign V231760 = V024116 - 1. assign V829593 = V109257. assign V345953 = V643728 + 1. assign V247779 = V059719 - 1. assign V429828 = V485887. assign V942484 = V400229. assign V853450 = V072176. assign V059719 = V109257 - 1. assign V349405 = V787466 + 1. assign V493430 = V801416 - 1. assign V124467 = V938840. assign V942825 = V911632. assign V583243 = V911632 + 1. assign V925405 = V131499. assign V520745 = V448718. assign V201981 = V053779 - 1. assign V131499 = V109257 - 1. assign V032786 = V925405 - 1. assign V241969 = V394962 + 1. assign V699094 = V826918 - 1. assign V411799 = V793726 - 1. assign V793726 = V547656 + 1. assign V119327 = V686243. assign V787466 = V371200 + 1. assign V006270 = V123465 - 1. assign V546349 = V229205. assign V040788 = V428577 + 1. assign V185990 = V187220 + 1. assign V422385 = V939441. assign V231012 = V814241. assign V911632 = V163819. assign V321664 = V801416. assign V584571 = V801416 + 1. assign V507645 = V764796. assign V731430 = V126083 + 1. assign V383544 = V119327. assign V109837 = V938840. assign V208001 = V925290. assign V547489 = V131499 - 1. assign V820832 = V943206 + 1. assign V643728 = V030105. assign V205659 = V372440 + 1. assign V686243 = V665481. assign V126083 = V646080. assign V499312 = V099821. assign V070036 = V942484 - 1. assign V758801 = V911632 + 1. assign V859559 = V123465 - 1. assign V269264 = V072176. assign V906893 = V131499 - 1. assign V435852 = V537000 + 1. assign V938840 = V109257 - 1. assign V034121 = V065527 - 1. assign V943206 = V646080. assign V489425 = V728912. assign V109257 = V590394. assign V415138 = V733503 - 1. assign V361403 = V006270. assign V646080 = V238565 - 1. assign V640103 = V385771 - 1. assign V055229 = V722056 + 1. assign V863731 = V590394 + 1. assign V978907 = V099821. assign V689329 = V269264 - 1. assign V241251 = V879683 + 1. assign V666270 = V109257. assign V708455 = V970244. assign V394962 = V537000. assign V544318 = V187220 - 1. assign V970244 = V124467 + 1. assign V722056 = V801416. assign V817188 = V143231 + 1. assign V097054 = V072176 + 1. assign V278382 = V853450 - 1. assign V670173 = V646080 - 1. assign V186501 = V099821. assign V005921 = V816979. assign V609407 = V109837 + 1. assign V764796 = V816979 + 1. assign V123465 = V938840 + 1. assign V779095 = V109257 - 1. assign V277161 = V131499. assign V428577 = V004410 - 1. assign V052725 = V371200. assign V099821 = V779095 + 1. assign V814241 = V109257 + 1. assign V229205 = 10. assign V996239 = V722056. assign V727308 = V059719 - 1. assign V321754 = V053779 + 1. assign V876242 = V666270 - 1. assign V937611 = V537000 + 1. assign V704082 = V205659 - 1. assign V145728 = V547489 + 1. assign V548327 = V970244. assign V816979 = V801416. assign V801513 = V643728 + 1. assign V126919 = V052725. assign V372440 = V814241. assign V547656 = V943206 - 1. assign V875798 = V241969. assign V538295 = V065527 - 1. assign V081300 = V801416 + 1. assign V325270 = V820832 + 1. assign V385771 = V666270 + 1. assign V238565 = V547489 + 1. assign V794768 = V241969. assign V448718 = V626511 - 1. assign V672888 = V906893 - 1. assign V509014 = V163819 - 1. assign V218715 = V863731. assign V030105 = V394962. assign V822942 = V253541 - 1. assign V163819 = V131499. assign V437945 = V589849. assign V295430 = V452762 - 1. assign V062882 = V072176 - 1. assign V826918 = V499312 - 1. assign V029436 = V493430 - 1. assign V589849 = V863731 - 1. assign V626511 = V537000 - 1. assign V024116 = V131499 - 1. assign V953988 = V820832. assign V292101 = V233004 - 1. assign V207814 = V822942 + 1. assign V072176 = V938840 + 1. assign V371200 = V689329.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V687646 = V643728. assign V959991 = V938840 + 1. assign V009726 = V499312. assign V925290 = V269264 - 1. assign V053779 = V853450 + 1. assign V004410 = V099821 - 1. assign V045176 = V145728 + 1. assign V512013 = V429828. assign V795481 = V646080 - 1. assign V939441 = V708455 + 1. assign V891343 = V937611 + 1. assign V825330 = V548327 + 1. assign V537000 = V779095 - 1. assign V728912 = V547656. assign V400229 = V062882. assign V665481 = V493430. assign V497259 = V040788. assign V913859 = V609407. assign V595056 = V062882 + 1. assign V187220 = V590394 - 1. assign V059379 = V814241 + 1. assign V393853 = V448718. assign V652647 = V269264. assign V233004 = V801416 + 1. assign V801416 = V779095 - 1. assign V510131 = V675554. assign V675554 = V124467 + 1. assign V623148 = V187220. assign V143231 = V024116. assign V485887 = V814241 + 1. assign V950092 = V278382. assign V290795 = V646080. assign V898472 = V145728 - 1. assign V879683 = V996239 - 1. assign V093272 = V911632 - 1. assign V336935 = V321664 - 1. assign V065527 = V609407 + 1. assign V011663 = V029436 - 1. assign V658441 = V640103. assign V253541 = V072176 - 1. assign V452762 = V004410. assign V917082 = V493430 - 1. assign V733503 = V292101. assign V031526 = V686243 - 1. assign V258218 = V009726 - 1. assign V231760 = V024116 - 1. assign V829593 = V109257. assign V345953 = V643728 + 1. assign V247779 = V059719 - 1. assign V429828 = V485887. assign V942484 = V400229. assign V853450 = V072176. assign V059719 = V109257 - 1. assign V349405 = V787466 + 1. assign V493430 = V801416 - 1. assign V124467 = V938840. assign V942825 = V911632. assign V583243 = V911632 + 1. assign V925405 = V131499. assign V520745 = V448718. assign V201981 = V053779 - 1. assign V131499 = V109257 - 1. assign V032786 = V925405 - 1. assign V241969 = V394962 + 1. assign V699094 = V826918 - 1. assign V411799 = V793726 - 1. assign V793726 = V547656 + 1. assign V119327 = V686243. assign V787466 = V371200 + 1. assign V006270 = V123465 - 1. assign V546349 = V229205. assign V040788 = V428577 + 1. assign V185990 = V187220 + 1. assign V422385 = V939441. assign V231012 = V814241. assign V911632 = V163819. assign V321664 = V801416. assign V584571 = V801416 + 1. assign V507645 = V764796. assign V731430 = V126083 + 1. assign V383544 = V119327. assign V109837 = V938840. assign V208001 = V925290. assign V547489 = V131499 - 1. assign V820832 = V943206 + 1. assign V643728 = V030105. assign V205659 = V372440 + 1. assign V686243 = V665481. assign V126083 = V646080. assign V499312 = V099821. assign V070036 = V942484 - 1. assign V758801 = V911632 + 1. assign V859559 = V123465 - 1. assign V269264 = V072176. assign V906893 = V131499 - 1. assign V435852 = V537000 + 1. assign V938840 = V109257 - 1. assign V034121 = V065527 - 1. assign V943206 = V646080. assign V489425 = V728912. assign V109257 = V590394. assign V415138 = V733503 - 1. assign V361403 = V006270. assign V646080 = V238565 - 1. assign V640103 = V385771 - 1. assign V055229 = V722056 + 1. assign V863731 = V590394 + 1. assign V978907 = V099821. assign V689329 = V269264 - 1. assign V241251 = V879683 + 1. assign V666270 = V109257. assign V708455 = V970244. assign V394962 = V537000. assign V544318 = V187220 - 1. assign V970244 = V124467 + 1. assign V722056 = V801416. assign V817188 = V143231 + 1. assign V097054 = V072176 + 1. assign V278382 = V853450 - 1. assign V670173 = V646080 - 1. assign V186501 = V099821. assign V005921 = V816979. assign V609407 = V109837 + 1. assign V764796 = V816979 + 1. assign V123465 = V938840 + 1. assign V779095 = V109257 - 1. assign V277161 = V131499. assign V428577 = V004410 - 1. assign V052725 = V371200. assign V099821 = V779095 + 1. assign V814241 = V109257 + 1. assign V229205 = 10. assign V996239 = V722056. assign V727308 = V059719 - 1. assign V321754 = V053779 + 1. assign V876242 = V666270 - 1. assign V937611 = V537000 + 1. assign V704082 = V205659 - 1. assign V145728 = V547489 + 1. assign V548327 = V970244. assign V816979 = V801416. assign V801513 = V643728 + 1. assign V126919 = V052725. assign V372440 = V814241. assign V547656 = V943206 - 1. assign V875798 = V241969. assign V538295 = V065527 - 1. assign V081300 = V801416 + 1. assign V325270 = V820832 + 1. assign V385771 = V666270 + 1. assign V238565 = V547489 + 1. assign V794768 = V241969. assign V448718 = V626511 - 1. assign V672888 = V906893 - 1. assign V509014 = V163819 - 1. assign V218715 = V863731. assign V030105 = V394962. assign V822942 = V253541 - 1. assign V163819 = V131499. assign V437945 = V589849. assign V295430 = V452762 - 1. assign V062882 = V072176 - 1. assign V826918 = V499312 - 1. assign V029436 = V493430 - 1. assign V589849 = V863731 - 1. assign V626511 = V537000 - 1. assign V024116 = V131499 - 1. assign V953988 = V820832. assign V292101 = V233004 - 1. assign V207814 = V822942 + 1. assign V072176 = V938840 + 1. assign V371200 = V689329.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV229205 = 10;\n\nFrom these direct assignment(s), we have: \nV546349 = V229205 = 10;\nNo other variables can be derived from V546349;\nNo other variables can be derived from V229205;\n\nNow we have done all the calculations. Derived variables are:\nV229205 = 10;\nV546349 = 10;\n\nNow we have finished this problem. ANSWER:\nV229205, V546349\n", "role": "assistant" } ]

[ "V936961" ]

[ { "content": "<context>\nassign V130627 = V807008 - 1. assign V578970 = V953526 + 1. assign V908573 = V231728 - 1. assign V781602 = V350073. assign V215393 = V081044. assign V316806 = V543065 + 1. assign V264269 = V442354 - 1. assign V177622 = V261108 + 1. assign V674103 = V568723 - 1. assign V631659 = V620924 - 1. assign V785917 = V791851 - 1. assign V839611 = V682114 + 1. assign V956321 = V214740. assign V193940 = V781367 - 1. assign V472378 = V908573. assign V633972 = V807008 + 1. assign V136490 = V953526 + 1. assign V488725 = V740176. assign V903913 = V954970. assign V114974 = V430703 - 1. assign V493125 = V839950. assign V963801 = V875594. assign V070315 = V563132. assign V320927 = V545654 - 1. assign V632645 = V738510 - 1. assign V484678 = V899365 - 1. assign V174925 = V933301. assign V545654 = V866504 - 1. assign V420751 = V682114 - 1. assign V563132 = V911352 + 1. assign V425325 = V905185 + 1. assign V018694 = V872691. assign V807123 = 3. assign V916055 = V241550. assign V568723 = V081044. assign V081044 = V946583 + 1. assign V615321 = V589637 + 1. assign V020359 = V484678. assign V023968 = V399637 - 1. assign V307704 = V090304. assign V890627 = V147527 + 1. assign V905185 = V081044 - 1. assign V740176 = V270608 + 1. assign V281722 = V361006. assign V954970 = V568723 + 1. assign V964591 = V468784 + 1. assign V222283 = V517489 - 1. assign V554110 = V615321 + 1. assign V968185 = V114974 - 1. assign V658862 = V114974 + 1. assign V708072 = V020359. assign V009297 = V839611. assign V384258 = V899676. assign V781367 = V946583 + 1. assign V721671 = V568723 - 1. assign V588753 = V304001 + 1. assign V823238 = V875594. assign V858516 = V780157. assign V025739 = V933301 - 1. assign V053412 = V270608 + 1. assign V002283 = V025739 + 1. assign V802131 = V579856 - 1. assign V981813 = V872691. assign V933301 = V870049 + 1. assign V825869 = V020359. assign V639263 = V946583 - 1. assign V442354 = V568723 + 1. assign V620924 = V304209 - 1. assign V513759 = V579856 + 1. assign V899676 = V331958 - 1. assign V958628 = V350073 - 1. assign V350073 = V875594. assign V477204 = V543065 + 1. assign V331958 = V304209. assign V304209 = V899365. assign V224523 = V940582. assign V870630 = V224523 + 1. assign V231728 = V817698 - 1. assign V866780 = V807008. assign V790816 = V430703. assign V253935 = V807008 + 1. assign V139999 = V963801. assign V086742 = V009297 + 1. assign V241550 = V020359. assign V409781 = V872691 - 1. assign V218758 = V545654. assign V153783 = V070315. assign V592691 = V771372 - 1. assign V425706 = V870049 + 1. assign V326390 = V425325. assign V205261 = V899365 - 1. assign V176485 = V025739 - 1. assign V429690 = V241550 + 1. assign V166402 = V205261 + 1. assign V856901 = V620924 - 1. assign V261108 = V838788. assign V940582 = V241550 - 1. assign V270608 = V946583. assign V927521 = V420751 - 1. assign V589637 = V568723 - 1. assign V780157 = V964591. assign V261164 = V620924 - 1. assign V211290 = V393395. assign V911352 = V270608. assign V953526 = V270608 + 1. assign V393395 = V946583. assign V984794 = V211290 + 1. assign V738510 = V331958. assign V302186 = V908573 - 1. assign V564309 = V791851. assign V653645 = V953526 + 1. assign V682114 = V399637 - 1. assign V898427 = V147527. assign V521990 = V781367. assign V712632 = V350073 + 1. assign V899365 = V946583 + 1. assign V361006 = V653645 + 1. assign V037793 = V174925 - 1. assign V895199 = V270608 - 1. assign V214740 = V534670 - 1. assign V368793 = V856901 - 1. assign V290831 = V858516 - 1. assign V144097 = V218758. assign V633455 = V964591 + 1. assign V304001 = V496572 + 1. assign V817698 = V484678 - 1. assign V791851 = V781367 + 1. assign V870049 = V564309. assign V517489 = V081044 + 1. assign V854842 = V899365 - 1. assign V062207 = V350073 + 1. assign V147527 = V740176. assign V251917 = V631659. assign V482824 = V946583 - 1. assign V672681 = V350073 + 1. assign V235095 = V721671 - 1. assign V858630 = V517489 + 1. assign V839950 = V752495 + 1. assign V874172 = V721671. assign V613302 = V235095. assign V013181 = V653645 + 1. assign V105340 = V147527 + 1. assign V496572 = V905185 + 1. assign V010301 = V658862 + 1. assign V543065 = V791851 - 1. assign V534670 = V147527 + 1. assign V273009 = V282924 + 1. assign V866504 = V430703 + 1. assign V047567 = V218758 + 1. assign V807008 = V791851 + 1. assign V752495 = V261108 + 1. assign V461565 = V946583 - 1. assign V936961 = V807123 - 1. assign V872691 = V253935. assign V579856 = V430703. assign V838788 = V568723 - 1. assign V540639 = V963801 + 1. assign V068318 = V899365. assign V301480 = V468784. assign V090304 = V261164 + 1. assign V407923 = V020359 - 1. assign V912218 = V307704 - 1. assign V875594 = V304209 - 1. assign V771372 = V911352. assign V282924 = V215393 - 1. assign V092224 = V620924 - 1. assign V764214 = V890627. assign V351381 = V954970. assign V399637 = V620924. assign V430703 = V620924. assign V120010 = V384258. assign V468784 = V899365.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V130627 = V807008 - 1. assign V578970 = V953526 + 1. assign V908573 = V231728 - 1. assign V781602 = V350073. assign V215393 = V081044. assign V316806 = V543065 + 1. assign V264269 = V442354 - 1. assign V177622 = V261108 + 1. assign V674103 = V568723 - 1. assign V631659 = V620924 - 1. assign V785917 = V791851 - 1. assign V839611 = V682114 + 1. assign V956321 = V214740. assign V193940 = V781367 - 1. assign V472378 = V908573. assign V633972 = V807008 + 1. assign V136490 = V953526 + 1. assign V488725 = V740176. assign V903913 = V954970. assign V114974 = V430703 - 1. assign V493125 = V839950. assign V963801 = V875594. assign V070315 = V563132. assign V320927 = V545654 - 1. assign V632645 = V738510 - 1. assign V484678 = V899365 - 1. assign V174925 = V933301. assign V545654 = V866504 - 1. assign V420751 = V682114 - 1. assign V563132 = V911352 + 1. assign V425325 = V905185 + 1. assign V018694 = V872691. assign V807123 = 3. assign V916055 = V241550. assign V568723 = V081044. assign V081044 = V946583 + 1. assign V615321 = V589637 + 1. assign V020359 = V484678. assign V023968 = V399637 - 1. assign V307704 = V090304. assign V890627 = V147527 + 1. assign V905185 = V081044 - 1. assign V740176 = V270608 + 1. assign V281722 = V361006. assign V954970 = V568723 + 1. assign V964591 = V468784 + 1. assign V222283 = V517489 - 1. assign V554110 = V615321 + 1. assign V968185 = V114974 - 1. assign V658862 = V114974 + 1. assign V708072 = V020359. assign V009297 = V839611. assign V384258 = V899676. assign V781367 = V946583 + 1. assign V721671 = V568723 - 1. assign V588753 = V304001 + 1. assign V823238 = V875594. assign V858516 = V780157. assign V025739 = V933301 - 1. assign V053412 = V270608 + 1. assign V002283 = V025739 + 1. assign V802131 = V579856 - 1. assign V981813 = V872691. assign V933301 = V870049 + 1. assign V825869 = V020359. assign V639263 = V946583 - 1. assign V442354 = V568723 + 1. assign V620924 = V304209 - 1. assign V513759 = V579856 + 1. assign V899676 = V331958 - 1. assign V958628 = V350073 - 1. assign V350073 = V875594. assign V477204 = V543065 + 1. assign V331958 = V304209. assign V304209 = V899365. assign V224523 = V940582. assign V870630 = V224523 + 1. assign V231728 = V817698 - 1. assign V866780 = V807008. assign V790816 = V430703. assign V253935 = V807008 + 1. assign V139999 = V963801. assign V086742 = V009297 + 1. assign V241550 = V020359. assign V409781 = V872691 - 1. assign V218758 = V545654. assign V153783 = V070315. assign V592691 = V771372 - 1. assign V425706 = V870049 + 1. assign V326390 = V425325. assign V205261 = V899365 - 1. assign V176485 = V025739 - 1. assign V429690 = V241550 + 1. assign V166402 = V205261 + 1. assign V856901 = V620924 - 1. assign V261108 = V838788. assign V940582 = V241550 - 1. assign V270608 = V946583. assign V927521 = V420751 - 1. assign V589637 = V568723 - 1. assign V780157 = V964591. assign V261164 = V620924 - 1. assign V211290 = V393395. assign V911352 = V270608. assign V953526 = V270608 + 1. assign V393395 = V946583. assign V984794 = V211290 + 1. assign V738510 = V331958. assign V302186 = V908573 - 1. assign V564309 = V791851. assign V653645 = V953526 + 1. assign V682114 = V399637 - 1. assign V898427 = V147527. assign V521990 = V781367. assign V712632 = V350073 + 1. assign V899365 = V946583 + 1. assign V361006 = V653645 + 1. assign V037793 = V174925 - 1. assign V895199 = V270608 - 1. assign V214740 = V534670 - 1. assign V368793 = V856901 - 1. assign V290831 = V858516 - 1. assign V144097 = V218758. assign V633455 = V964591 + 1. assign V304001 = V496572 + 1. assign V817698 = V484678 - 1. assign V791851 = V781367 + 1. assign V870049 = V564309. assign V517489 = V081044 + 1. assign V854842 = V899365 - 1. assign V062207 = V350073 + 1. assign V147527 = V740176. assign V251917 = V631659. assign V482824 = V946583 - 1. assign V672681 = V350073 + 1. assign V235095 = V721671 - 1. assign V858630 = V517489 + 1. assign V839950 = V752495 + 1. assign V874172 = V721671. assign V613302 = V235095. assign V013181 = V653645 + 1. assign V105340 = V147527 + 1. assign V496572 = V905185 + 1. assign V010301 = V658862 + 1. assign V543065 = V791851 - 1. assign V534670 = V147527 + 1. assign V273009 = V282924 + 1. assign V866504 = V430703 + 1. assign V047567 = V218758 + 1. assign V807008 = V791851 + 1. assign V752495 = V261108 + 1. assign V461565 = V946583 - 1. assign V936961 = V807123 - 1. assign V872691 = V253935. assign V579856 = V430703. assign V838788 = V568723 - 1. assign V540639 = V963801 + 1. assign V068318 = V899365. assign V301480 = V468784. assign V090304 = V261164 + 1. assign V407923 = V020359 - 1. assign V912218 = V307704 - 1. assign V875594 = V304209 - 1. assign V771372 = V911352. assign V282924 = V215393 - 1. assign V092224 = V620924 - 1. assign V764214 = V890627. assign V351381 = V954970. assign V399637 = V620924. assign V430703 = V620924. assign V120010 = V384258. assign V468784 = V899365.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV807123 = 3;\n\nFrom these direct assignment(s), we have: \nV936961 = V807123 - 1 = 3 - 1 =2;\nNo other variables can be derived from V936961;\nNo other variables can be derived from V807123;\n\nNow we have done all the calculations. Derived variables are:\nV807123 = 3;\nV936961 = 2;\n\nNow we have finished this problem. ANSWER:\nV936961\n", "role": "assistant" } ]

[ "V376818" ]

[ { "content": "<context>\nassign V553470 = V559034. assign V873129 = V796545 + 1. assign V994689 = V592224. assign V530876 = V639339. assign V887953 = V608705 - 1. assign V767763 = V871786 + 1. assign V666128 = V431306 - 1. assign V894966 = V592224. assign V716217 = V704889. assign V650661 = V484428 - 1. assign V398527 = V874327 + 1. assign V778846 = V580941. assign V970425 = V884739 - 1. assign V927224 = V960516. assign V759450 = V041223 + 1. assign V052682 = V212590 - 1. assign V129086 = V592224. assign V540727 = V874327. assign V565381 = V639339 + 1. assign V675611 = V973747 + 1. assign V212590 = V495324. assign V300278 = V628878 - 1. assign V453469 = V423680. assign V437243 = V834818 + 1. assign V990806 = V704889 - 1. assign V246534 = V683248 - 1. assign V960516 = V759450 + 1. assign V918923 = V437243. assign V431055 = V553470 + 1. assign V189609 = V484428 - 1. assign V674613 = V139493 - 1. assign V740982 = V796545 + 1. assign V388734 = V871786 - 1. assign V369506 = V704889 - 1. assign V096546 = V675611 - 1. assign V730033 = V325007. assign V164634 = V873129 + 1. assign V704889 = V041223 - 1. assign V203162 = V894966 - 1. assign V166123 = V834818 + 1. assign V259843 = V041223 + 1. assign V360395 = V910090. assign V442857 = V052682 + 1. assign V805166 = V771813. assign V188930 = V081152. assign V227855 = V484428 - 1. assign V997775 = 7. assign V943955 = V884739 + 1. assign V581179 = V809333. assign V990623 = V565381 - 1. assign V060074 = V834818 - 1. assign V259229 = V592224. assign V910090 = V484428. assign V098792 = V900715 - 1. assign V773827 = V716217 - 1. assign V579813 = V943955. assign V796545 = V884739. assign V496657 = V992933 + 1. assign V771204 = V495324. assign V793453 = V554731 - 1. assign V514971 = V675611. assign V554731 = V718830 - 1. assign V245556 = V579813. assign V851262 = V943955. assign V808140 = V847223 - 1. assign V874327 = V041223 - 1. assign V962054 = V208755. assign V208755 = V406277. assign V431306 = V183870 + 1. assign V199547 = V740982 - 1. assign V915883 = V675611 - 1. assign V902069 = V495324 - 1. assign V446864 = V724761 + 1. assign V800897 = V592224 + 1. assign V714215 = V884739 - 1. assign V859850 = V851262. assign V281411 = V166123. assign V724761 = V424637. assign V678328 = V716217 - 1. assign V088984 = V796545 + 1. assign V325007 = V705141. assign V146540 = V060074. assign V081152 = V771813. assign V867763 = V360395 + 1. assign V816995 = V759450 - 1. assign V885509 = V056778 - 1. assign V252760 = V973747 - 1. assign V263935 = V565381 - 1. assign V933831 = V740982 - 1. assign V608705 = V759450 - 1. assign V771813 = V759450. assign V372825 = V398841. assign V423680 = V918923. assign V992933 = V514971 - 1. assign V413765 = V041223. assign V666226 = V372825. assign V484428 = V041223. assign V969229 = V643143. assign V372630 = V910090 - 1. assign V869535 = V803244 - 1. assign V382404 = V281411 - 1. assign V056778 = V759450 + 1. assign V183870 = V874327 + 1. assign V316129 = V343369. assign V343369 = V847223. assign V580941 = V650661. assign V524582 = V927224 + 1. assign V376818 = V997775 - 1. assign V645314 = V097117 - 1. assign V389898 = V413765. assign V487657 = V406277 - 1. assign V119466 = V834818 - 1. assign V803244 = V910090. assign V284839 = V206386 - 1. assign V276316 = V816995 - 1. assign V577676 = V382404 + 1. assign V552839 = V559034. assign V297365 = V816995 - 1. assign V847223 = V973747 - 1. assign V810660 = V367783 - 1. assign V666637 = V514971. assign V109969 = V297365 - 1. assign V554785 = V778846 - 1. assign V190439 = V718830 + 1. assign V871786 = V716217 - 1. assign V718830 = V834818 - 1. assign V628878 = V424637 - 1. assign V122536 = V871786. assign V458525 = V059402. assign V334814 = V281411 + 1. assign V884739 = V041223. assign V139493 = V369506. assign V809333 = V716217. assign V398841 = V406277 - 1. assign V762196 = V884739. assign V424637 = V259843 + 1. assign V262686 = V424637 + 1. assign V079896 = V714215 - 1. assign V219719 = V331567. assign V406277 = V874327 - 1. assign V644939 = V759450. assign V923596 = V592224 + 1. assign V900715 = V146540 + 1. assign V436958 = V716217 - 1. assign V070734 = V227855 + 1. assign V059402 = V281411 + 1. assign V097117 = V778846. assign V737254 = V252760 - 1. assign V937426 = V431055 - 1. assign V285208 = V762196. assign V559034 = V759450 + 1. assign V179235 = V718830 - 1. assign V705141 = V369506. assign V431464 = V343369 + 1. assign V127877 = V406277. assign V331567 = V060074. assign V854051 = V771813 - 1. assign V683248 = V759450. assign V041223 = V834818 - 1. assign V870232 = V800897 - 1. assign V538808 = V188930 - 1. assign V592224 = V834818 - 1. assign V557120 = V771813 - 1. assign V639339 = V771813 - 1. assign V248042 = V666226 + 1. assign V973747 = V796545 + 1. assign V206386 = V960516 - 1. assign V367783 = V796545 - 1. assign V495324 = V851262 - 1. assign V909928 = V650661. assign V065355 = V759450 - 1. assign V643143 = V915883 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V553470 = V559034. assign V873129 = V796545 + 1. assign V994689 = V592224. assign V530876 = V639339. assign V887953 = V608705 - 1. assign V767763 = V871786 + 1. assign V666128 = V431306 - 1. assign V894966 = V592224. assign V716217 = V704889. assign V650661 = V484428 - 1. assign V398527 = V874327 + 1. assign V778846 = V580941. assign V970425 = V884739 - 1. assign V927224 = V960516. assign V759450 = V041223 + 1. assign V052682 = V212590 - 1. assign V129086 = V592224. assign V540727 = V874327. assign V565381 = V639339 + 1. assign V675611 = V973747 + 1. assign V212590 = V495324. assign V300278 = V628878 - 1. assign V453469 = V423680. assign V437243 = V834818 + 1. assign V990806 = V704889 - 1. assign V246534 = V683248 - 1. assign V960516 = V759450 + 1. assign V918923 = V437243. assign V431055 = V553470 + 1. assign V189609 = V484428 - 1. assign V674613 = V139493 - 1. assign V740982 = V796545 + 1. assign V388734 = V871786 - 1. assign V369506 = V704889 - 1. assign V096546 = V675611 - 1. assign V730033 = V325007. assign V164634 = V873129 + 1. assign V704889 = V041223 - 1. assign V203162 = V894966 - 1. assign V166123 = V834818 + 1. assign V259843 = V041223 + 1. assign V360395 = V910090. assign V442857 = V052682 + 1. assign V805166 = V771813. assign V188930 = V081152. assign V227855 = V484428 - 1. assign V997775 = 7. assign V943955 = V884739 + 1. assign V581179 = V809333. assign V990623 = V565381 - 1. assign V060074 = V834818 - 1. assign V259229 = V592224. assign V910090 = V484428. assign V098792 = V900715 - 1. assign V773827 = V716217 - 1. assign V579813 = V943955. assign V796545 = V884739. assign V496657 = V992933 + 1. assign V771204 = V495324. assign V793453 = V554731 - 1. assign V514971 = V675611. assign V554731 = V718830 - 1. assign V245556 = V579813. assign V851262 = V943955. assign V808140 = V847223 - 1. assign V874327 = V041223 - 1. assign V962054 = V208755. assign V208755 = V406277. assign V431306 = V183870 + 1. assign V199547 = V740982 - 1. assign V915883 = V675611 - 1. assign V902069 = V495324 - 1. assign V446864 = V724761 + 1. assign V800897 = V592224 + 1. assign V714215 = V884739 - 1. assign V859850 = V851262. assign V281411 = V166123. assign V724761 = V424637. assign V678328 = V716217 - 1. assign V088984 = V796545 + 1. assign V325007 = V705141. assign V146540 = V060074. assign V081152 = V771813. assign V867763 = V360395 + 1. assign V816995 = V759450 - 1. assign V885509 = V056778 - 1. assign V252760 = V973747 - 1. assign V263935 = V565381 - 1. assign V933831 = V740982 - 1. assign V608705 = V759450 - 1. assign V771813 = V759450. assign V372825 = V398841. assign V423680 = V918923. assign V992933 = V514971 - 1. assign V413765 = V041223. assign V666226 = V372825. assign V484428 = V041223. assign V969229 = V643143. assign V372630 = V910090 - 1. assign V869535 = V803244 - 1. assign V382404 = V281411 - 1. assign V056778 = V759450 + 1. assign V183870 = V874327 + 1. assign V316129 = V343369. assign V343369 = V847223. assign V580941 = V650661. assign V524582 = V927224 + 1. assign V376818 = V997775 - 1. assign V645314 = V097117 - 1. assign V389898 = V413765. assign V487657 = V406277 - 1. assign V119466 = V834818 - 1. assign V803244 = V910090. assign V284839 = V206386 - 1. assign V276316 = V816995 - 1. assign V577676 = V382404 + 1. assign V552839 = V559034. assign V297365 = V816995 - 1. assign V847223 = V973747 - 1. assign V810660 = V367783 - 1. assign V666637 = V514971. assign V109969 = V297365 - 1. assign V554785 = V778846 - 1. assign V190439 = V718830 + 1. assign V871786 = V716217 - 1. assign V718830 = V834818 - 1. assign V628878 = V424637 - 1. assign V122536 = V871786. assign V458525 = V059402. assign V334814 = V281411 + 1. assign V884739 = V041223. assign V139493 = V369506. assign V809333 = V716217. assign V398841 = V406277 - 1. assign V762196 = V884739. assign V424637 = V259843 + 1. assign V262686 = V424637 + 1. assign V079896 = V714215 - 1. assign V219719 = V331567. assign V406277 = V874327 - 1. assign V644939 = V759450. assign V923596 = V592224 + 1. assign V900715 = V146540 + 1. assign V436958 = V716217 - 1. assign V070734 = V227855 + 1. assign V059402 = V281411 + 1. assign V097117 = V778846. assign V737254 = V252760 - 1. assign V937426 = V431055 - 1. assign V285208 = V762196. assign V559034 = V759450 + 1. assign V179235 = V718830 - 1. assign V705141 = V369506. assign V431464 = V343369 + 1. assign V127877 = V406277. assign V331567 = V060074. assign V854051 = V771813 - 1. assign V683248 = V759450. assign V041223 = V834818 - 1. assign V870232 = V800897 - 1. assign V538808 = V188930 - 1. assign V592224 = V834818 - 1. assign V557120 = V771813 - 1. assign V639339 = V771813 - 1. assign V248042 = V666226 + 1. assign V973747 = V796545 + 1. assign V206386 = V960516 - 1. assign V367783 = V796545 - 1. assign V495324 = V851262 - 1. assign V909928 = V650661. assign V065355 = V759450 - 1. assign V643143 = V915883 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV997775 = 7;\n\nFrom these direct assignment(s), we have: \nV376818 = V997775 - 1 = 7 - 1 =6;\nNo other variables can be derived from V376818;\nNo other variables can be derived from V997775;\n\nNow we have done all the calculations. Derived variables are:\nV997775 = 7;\nV376818 = 6;\n\nNow we have finished this problem. ANSWER:\nV376818\n", "role": "assistant" } ]

[ "V353402" ]

[ { "content": "<context>\nassign V667953 = V537205. assign V702872 = V319360. assign V418717 = V720462. assign V943524 = V207473 - 1. assign V154638 = V974433 - 1. assign V996548 = V773321 + 1. assign V958423 = V671301 - 1. assign V945409 = V219783 - 1. assign V568354 = V339168 + 1. assign V891769 = V351546 + 1. assign V481988 = V996548. assign V644804 = V027212 + 1. assign V043816 = V996548 + 1. assign V255400 = V771213 - 1. assign V490649 = V646799 - 1. assign V458568 = V845871 - 1. assign V750132 = V414203 + 1. assign V196653 = V845871 - 1. assign V894441 = V263192 + 1. assign V227834 = V429058 + 1. assign V998091 = V662498 + 1. assign V163480 = V091062 + 1. assign V847250 = V671301 - 1. assign V832672 = V292718 + 1. assign V652428 = V397941. assign V804195 = V485460 + 1. assign V277813 = V936519 - 1. assign V012871 = V375091 + 1. assign V745279 = V310748 - 1. assign V883871 = V758235 - 1. assign V994978 = V217811 + 1. assign V016518 = V397941 - 1. assign V300839 = V182184. assign V379844 = V518739 - 1. assign V598105 = V219783. assign V758235 = V773321 + 1. assign V319360 = V894441 - 1. assign V863922 = V980740. assign V258579 = V012871. assign V925962 = V210755. assign V773321 = V263192 + 1. assign V662498 = V385275 + 1. assign V436465 = V845871 + 1. assign V375091 = V750132 - 1. assign V077600 = V458568. assign V796927 = V430701 + 1. assign V473621 = V863922 - 1. assign V810381 = V430701. assign V707668 = V209936 - 1. assign V625454 = V598105. assign V027212 = V485460. assign V587183 = V368926. assign V430701 = V745279. assign V414203 = V429058 - 1. assign V980740 = V894441. assign V974202 = V219783 - 1. assign V842700 = V414203. assign V131193 = V958423 + 1. assign V965229 = V811645. assign V771213 = V963709. assign V768329 = V219783 + 1. assign V292718 = V485460 + 1. assign V140548 = V671301 + 1. assign V518956 = V017611 - 1. assign V047952 = V720462. assign V017182 = V263192. assign V197499 = 0. assign V017611 = V847704. assign V646799 = V707668. assign V091062 = V207473. assign V250658 = V485460 + 1. assign V040105 = V924092. assign V351312 = V587183 - 1. assign V317085 = V219783 + 1. assign V002126 = V017182 + 1. assign V180131 = V823034 - 1. assign V720462 = V017182 + 1. assign V518739 = V750132. assign V185087 = V697876 + 1. assign V749664 = V540166 + 1. assign V924092 = V193759 - 1. assign V189406 = V694748 + 1. assign V698376 = V015727. assign V882330 = V933739. assign V939047 = V662498 - 1. assign V429058 = V209936 + 1. assign V351546 = V263192. assign V015727 = V894441 - 1. assign V694748 = V207473. assign V397941 = V319360 + 1. assign V385275 = V263192. assign V209936 = V263192. assign V845871 = V385275. assign V933739 = V047952 + 1. assign V793478 = V671301. assign V823034 = V351546. assign V298346 = V178586 + 1. assign V219783 = V227834 + 1. assign V584976 = V694748. assign V671301 = V996548 + 1. assign V182184 = V251272 - 1. assign V241573 = V217811 + 1. assign V193759 = V213547. assign V619913 = V845871 + 1. assign V610977 = V994978 - 1. assign V843590 = V485460 + 1. assign V444631 = V397941. assign V210755 = V610838 + 1. assign V847704 = V017182. assign V178586 = V017182 - 1. assign V485127 = V485460. assign V465256 = V866016 - 1. assign V251272 = V620362 - 1. assign V110789 = V945409 - 1. assign V855425 = V793478. assign V951223 = V292718 + 1. assign V812930 = V485460 - 1. assign V238892 = V823034 + 1. assign V217811 = V178586. assign V882325 = V263192. assign V060163 = V894441 - 1. assign V431092 = V407106. assign V963709 = V263192 + 1. assign V720354 = V123243 - 1. assign V610838 = V894441 + 1. assign V207473 = V368926. assign V015855 = V894441. assign V427701 = V217811 - 1. assign V582931 = V227834 + 1. assign V114030 = V217811 + 1. assign V581077 = V310748 - 1. assign V890953 = V210755 - 1. assign V697876 = V671301 + 1. assign V581471 = V537205 + 1. assign V563989 = V823034. assign V829188 = V444631. assign V921669 = V209936 + 1. assign V974433 = V213547 - 1. assign V193074 = V429058. assign V727873 = V939047 + 1. assign V426778 = V939047 + 1. assign V293663 = V882325 - 1. assign V407106 = V883871 - 1. assign V936519 = V745279 + 1. assign V537205 = V060163. assign V733557 = V016518 + 1. assign V540166 = V699385. assign V866016 = V485460 - 1. assign V754520 = V921669 + 1. assign V368926 = V671301 - 1. assign V938031 = V317085 - 1. assign V326282 = V890953 + 1. assign V353402 = V197499 + 1. assign V772016 = V251272 - 1. assign V173169 = V473621 + 1. assign V093910 = V883871. assign V485460 = V227834. assign V138181 = V843590 - 1. assign V181701 = V823034 - 1. assign V811645 = V319360 + 1. assign V522716 = V163480 - 1. assign V483576 = V251272. assign V159039 = V426778 - 1. assign V310748 = V385275 + 1. assign V213547 = V043816. assign V123243 = V855425 - 1. assign V235630 = V163480 - 1. assign V699385 = V255093 - 1. assign V932894 = V882325. assign V339168 = V219783. assign V255093 = V582931 - 1. assign V620362 = V936519.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V667953 = V537205. assign V702872 = V319360. assign V418717 = V720462. assign V943524 = V207473 - 1. assign V154638 = V974433 - 1. assign V996548 = V773321 + 1. assign V958423 = V671301 - 1. assign V945409 = V219783 - 1. assign V568354 = V339168 + 1. assign V891769 = V351546 + 1. assign V481988 = V996548. assign V644804 = V027212 + 1. assign V043816 = V996548 + 1. assign V255400 = V771213 - 1. assign V490649 = V646799 - 1. assign V458568 = V845871 - 1. assign V750132 = V414203 + 1. assign V196653 = V845871 - 1. assign V894441 = V263192 + 1. assign V227834 = V429058 + 1. assign V998091 = V662498 + 1. assign V163480 = V091062 + 1. assign V847250 = V671301 - 1. assign V832672 = V292718 + 1. assign V652428 = V397941. assign V804195 = V485460 + 1. assign V277813 = V936519 - 1. assign V012871 = V375091 + 1. assign V745279 = V310748 - 1. assign V883871 = V758235 - 1. assign V994978 = V217811 + 1. assign V016518 = V397941 - 1. assign V300839 = V182184. assign V379844 = V518739 - 1. assign V598105 = V219783. assign V758235 = V773321 + 1. assign V319360 = V894441 - 1. assign V863922 = V980740. assign V258579 = V012871. assign V925962 = V210755. assign V773321 = V263192 + 1. assign V662498 = V385275 + 1. assign V436465 = V845871 + 1. assign V375091 = V750132 - 1. assign V077600 = V458568. assign V796927 = V430701 + 1. assign V473621 = V863922 - 1. assign V810381 = V430701. assign V707668 = V209936 - 1. assign V625454 = V598105. assign V027212 = V485460. assign V587183 = V368926. assign V430701 = V745279. assign V414203 = V429058 - 1. assign V980740 = V894441. assign V974202 = V219783 - 1. assign V842700 = V414203. assign V131193 = V958423 + 1. assign V965229 = V811645. assign V771213 = V963709. assign V768329 = V219783 + 1. assign V292718 = V485460 + 1. assign V140548 = V671301 + 1. assign V518956 = V017611 - 1. assign V047952 = V720462. assign V017182 = V263192. assign V197499 = 0. assign V017611 = V847704. assign V646799 = V707668. assign V091062 = V207473. assign V250658 = V485460 + 1. assign V040105 = V924092. assign V351312 = V587183 - 1. assign V317085 = V219783 + 1. assign V002126 = V017182 + 1. assign V180131 = V823034 - 1. assign V720462 = V017182 + 1. assign V518739 = V750132. assign V185087 = V697876 + 1. assign V749664 = V540166 + 1. assign V924092 = V193759 - 1. assign V189406 = V694748 + 1. assign V698376 = V015727. assign V882330 = V933739. assign V939047 = V662498 - 1. assign V429058 = V209936 + 1. assign V351546 = V263192. assign V015727 = V894441 - 1. assign V694748 = V207473. assign V397941 = V319360 + 1. assign V385275 = V263192. assign V209936 = V263192. assign V845871 = V385275. assign V933739 = V047952 + 1. assign V793478 = V671301. assign V823034 = V351546. assign V298346 = V178586 + 1. assign V219783 = V227834 + 1. assign V584976 = V694748. assign V671301 = V996548 + 1. assign V182184 = V251272 - 1. assign V241573 = V217811 + 1. assign V193759 = V213547. assign V619913 = V845871 + 1. assign V610977 = V994978 - 1. assign V843590 = V485460 + 1. assign V444631 = V397941. assign V210755 = V610838 + 1. assign V847704 = V017182. assign V178586 = V017182 - 1. assign V485127 = V485460. assign V465256 = V866016 - 1. assign V251272 = V620362 - 1. assign V110789 = V945409 - 1. assign V855425 = V793478. assign V951223 = V292718 + 1. assign V812930 = V485460 - 1. assign V238892 = V823034 + 1. assign V217811 = V178586. assign V882325 = V263192. assign V060163 = V894441 - 1. assign V431092 = V407106. assign V963709 = V263192 + 1. assign V720354 = V123243 - 1. assign V610838 = V894441 + 1. assign V207473 = V368926. assign V015855 = V894441. assign V427701 = V217811 - 1. assign V582931 = V227834 + 1. assign V114030 = V217811 + 1. assign V581077 = V310748 - 1. assign V890953 = V210755 - 1. assign V697876 = V671301 + 1. assign V581471 = V537205 + 1. assign V563989 = V823034. assign V829188 = V444631. assign V921669 = V209936 + 1. assign V974433 = V213547 - 1. assign V193074 = V429058. assign V727873 = V939047 + 1. assign V426778 = V939047 + 1. assign V293663 = V882325 - 1. assign V407106 = V883871 - 1. assign V936519 = V745279 + 1. assign V537205 = V060163. assign V733557 = V016518 + 1. assign V540166 = V699385. assign V866016 = V485460 - 1. assign V754520 = V921669 + 1. assign V368926 = V671301 - 1. assign V938031 = V317085 - 1. assign V326282 = V890953 + 1. assign V353402 = V197499 + 1. assign V772016 = V251272 - 1. assign V173169 = V473621 + 1. assign V093910 = V883871. assign V485460 = V227834. assign V138181 = V843590 - 1. assign V181701 = V823034 - 1. assign V811645 = V319360 + 1. assign V522716 = V163480 - 1. assign V483576 = V251272. assign V159039 = V426778 - 1. assign V310748 = V385275 + 1. assign V213547 = V043816. assign V123243 = V855425 - 1. assign V235630 = V163480 - 1. assign V699385 = V255093 - 1. assign V932894 = V882325. assign V339168 = V219783. assign V255093 = V582931 - 1. assign V620362 = V936519.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV197499 = 0;\n\nFrom these direct assignment(s), we have: \nV353402 = V197499 + 1 = 0 + 1 =1;\nNo other variables can be derived from V353402;\nNo other variables can be derived from V197499;\n\nNow we have done all the calculations. Derived variables are:\nV197499 = 0;\nV353402 = 1;\n\nNow we have finished this problem. ANSWER:\nV353402\n", "role": "assistant" } ]

[ "V626584" ]

[ { "content": "<context>\nassign V829520 = V102702 + 1. assign V413408 = V844079 - 1. assign V129126 = V697061 + 1. assign V646690 = V433169 + 1. assign V796594 = V657122. assign V059861 = V243586 - 1. assign V705457 = V803521 + 1. assign V179455 = V433169 + 1. assign V500802 = V234450 + 1. assign V984524 = V145272 - 1. assign V309747 = V145272 + 1. assign V924080 = V569897. assign V936939 = V646690 - 1. assign V880716 = V433169 - 1. assign V055032 = V379080 - 1. assign V236107 = V314037. assign V257716 = V055032 + 1. assign V118566 = V935220. assign V871728 = V741044 - 1. assign V098304 = V179455. assign V518026 = V675635. assign V363481 = V934709 + 1. assign V950352 = V765490 + 1. assign V438165 = V697061 + 1. assign V651245 = V697061. assign V409901 = V107772 - 1. assign V364917 = V055032. assign V765490 = V927630 - 1. assign V610543 = V309747 - 1. assign V188156 = V584508 + 1. assign V657252 = V657122 - 1. assign V383686 = V260812. assign V928919 = V950352 + 1. assign V957673 = V260743. assign V163949 = V311836 - 1. assign V584341 = V363481 + 1. assign V630129 = V199287 + 1. assign V691675 = V919096. assign V936749 = V194395. assign V741044 = V814304. assign V204767 = V055032 - 1. assign V655886 = V928919 - 1. assign V268254 = V707970. assign V107772 = V441876. assign V193161 = V660176 + 1. assign V282236 = V318346 - 1. assign V199287 = V145272 + 1. assign V564755 = V009122 + 1. assign V675635 = V803521. assign V427243 = V234450 - 1. assign V919096 = V657122 - 1. assign V125681 = V934709. assign V102702 = V979862. assign V841229 = V260743 + 1. assign V341593 = V610543 - 1. assign V076370 = V250026. assign V318346 = V197390 - 1. assign V405373 = V409901. assign V844079 = V102702. assign V684073 = V795478 - 1. assign V243586 = V979862 + 1. assign V922809 = V927630. assign V201960 = V318346 - 1. assign V106468 = V129126 - 1. assign V406542 = V024075 + 1. assign V815984 = V046251. assign V987695 = V956286 - 1. assign V445843 = V707970 - 1. assign V751547 = V059861. assign V934709 = V145272. assign V928513 = V697061 - 1. assign V712310 = V129126 - 1. assign V024075 = V927630 + 1. assign V478979 = V318346 + 1. assign V345763 = V622832 + 1. assign V046251 = V174474 + 1. assign V689388 = V309747. assign V774017 = V383674. assign V622832 = V046251. assign V731956 = V363481 + 1. assign V303877 = V705457 - 1. assign V047902 = 0. assign V030029 = V152057 - 1. assign V913157 = V922809. assign V234450 = V215268 - 1. assign V021502 = V234450. assign V660176 = V979862 - 1. assign V694706 = V984524. assign V005296 = V634722. assign V979862 = V145272 - 1. assign V197390 = V309747. assign V299911 = V177829 + 1. assign V962864 = V193161. assign V177829 = V651245 - 1. assign V814304 = V979862. assign V825659 = V079302 + 1. assign V516078 = V303877 + 1. assign V577311 = V902881. assign V529443 = V318346 + 1. assign V956286 = V030029. assign V952513 = V145272 - 1. assign V559378 = V852346 - 1. assign V621088 = V311836 + 1. assign V795478 = V828420. assign V182198 = V689388. assign V707970 = V689388 + 1. assign V379080 = V569897 - 1. assign V584508 = V712310 + 1. assign V828420 = V934709 - 1. assign V041934 = V769461 + 1. assign V235940 = V660176. assign V257225 = V956286. assign V692219 = V803521 - 1. assign V260812 = V079302 + 1. assign V569897 = V952513 + 1. assign V314037 = V282236 - 1. assign V778126 = V928513 - 1. assign V697061 = V983081 - 1. assign V152145 = V243586 - 1. assign V462647 = V309747. assign V286089 = V145272. assign V983081 = V309747 + 1. assign V902881 = V569897 - 1. assign V292426 = V204767. assign V634722 = V934709. assign V803521 = V952513. assign V847555 = V070042 - 1. assign V750153 = V197390 - 1. assign V436387 = V009122. assign V666084 = V196495. assign V152057 = V179455. assign V753304 = V076370 - 1. assign V250026 = V712310. assign V167554 = V646690. assign V935220 = V634722 - 1. assign V196495 = V070042. assign V419343 = V021502. assign V584647 = V379080 + 1. assign V657122 = V383674. assign V448902 = V936939 + 1. assign V070042 = V318346 + 1. assign V852346 = V179455 - 1. assign V174474 = V689388 - 1. assign V728969 = V250026 - 1. assign V433169 = V363481 + 1. assign V927630 = V689388 + 1. assign V877592 = V935220 + 1. assign V215268 = V689388. assign V136332 = V928919 + 1. assign V081108 = V814304 - 1. assign V987368 = V215268 - 1. assign V441876 = V030029 + 1. assign V626584 = V047902 + 1. assign V260743 = V059861 + 1. assign V279722 = V952513. assign V841937 = V478979 - 1. assign V831459 = V260743. assign V769461 = V174474 - 1. assign V567131 = V379080. assign V333668 = V934709. assign V194395 = V005296 - 1. assign V044493 = V956286 + 1. assign V009122 = V433169 + 1. assign V060790 = V243586. assign V485675 = V936939 + 1. assign V079302 = V333668. assign V383997 = V363481 - 1. assign V463227 = V928919 - 1. assign V383674 = V952513 - 1. assign V163371 = V952513 + 1. assign V766191 = V005296 + 1. assign V311836 = V059861.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V829520 = V102702 + 1. assign V413408 = V844079 - 1. assign V129126 = V697061 + 1. assign V646690 = V433169 + 1. assign V796594 = V657122. assign V059861 = V243586 - 1. assign V705457 = V803521 + 1. assign V179455 = V433169 + 1. assign V500802 = V234450 + 1. assign V984524 = V145272 - 1. assign V309747 = V145272 + 1. assign V924080 = V569897. assign V936939 = V646690 - 1. assign V880716 = V433169 - 1. assign V055032 = V379080 - 1. assign V236107 = V314037. assign V257716 = V055032 + 1. assign V118566 = V935220. assign V871728 = V741044 - 1. assign V098304 = V179455. assign V518026 = V675635. assign V363481 = V934709 + 1. assign V950352 = V765490 + 1. assign V438165 = V697061 + 1. assign V651245 = V697061. assign V409901 = V107772 - 1. assign V364917 = V055032. assign V765490 = V927630 - 1. assign V610543 = V309747 - 1. assign V188156 = V584508 + 1. assign V657252 = V657122 - 1. assign V383686 = V260812. assign V928919 = V950352 + 1. assign V957673 = V260743. assign V163949 = V311836 - 1. assign V584341 = V363481 + 1. assign V630129 = V199287 + 1. assign V691675 = V919096. assign V936749 = V194395. assign V741044 = V814304. assign V204767 = V055032 - 1. assign V655886 = V928919 - 1. assign V268254 = V707970. assign V107772 = V441876. assign V193161 = V660176 + 1. assign V282236 = V318346 - 1. assign V199287 = V145272 + 1. assign V564755 = V009122 + 1. assign V675635 = V803521. assign V427243 = V234450 - 1. assign V919096 = V657122 - 1. assign V125681 = V934709. assign V102702 = V979862. assign V841229 = V260743 + 1. assign V341593 = V610543 - 1. assign V076370 = V250026. assign V318346 = V197390 - 1. assign V405373 = V409901. assign V844079 = V102702. assign V684073 = V795478 - 1. assign V243586 = V979862 + 1. assign V922809 = V927630. assign V201960 = V318346 - 1. assign V106468 = V129126 - 1. assign V406542 = V024075 + 1. assign V815984 = V046251. assign V987695 = V956286 - 1. assign V445843 = V707970 - 1. assign V751547 = V059861. assign V934709 = V145272. assign V928513 = V697061 - 1. assign V712310 = V129126 - 1. assign V024075 = V927630 + 1. assign V478979 = V318346 + 1. assign V345763 = V622832 + 1. assign V046251 = V174474 + 1. assign V689388 = V309747. assign V774017 = V383674. assign V622832 = V046251. assign V731956 = V363481 + 1. assign V303877 = V705457 - 1. assign V047902 = 0. assign V030029 = V152057 - 1. assign V913157 = V922809. assign V234450 = V215268 - 1. assign V021502 = V234450. assign V660176 = V979862 - 1. assign V694706 = V984524. assign V005296 = V634722. assign V979862 = V145272 - 1. assign V197390 = V309747. assign V299911 = V177829 + 1. assign V962864 = V193161. assign V177829 = V651245 - 1. assign V814304 = V979862. assign V825659 = V079302 + 1. assign V516078 = V303877 + 1. assign V577311 = V902881. assign V529443 = V318346 + 1. assign V956286 = V030029. assign V952513 = V145272 - 1. assign V559378 = V852346 - 1. assign V621088 = V311836 + 1. assign V795478 = V828420. assign V182198 = V689388. assign V707970 = V689388 + 1. assign V379080 = V569897 - 1. assign V584508 = V712310 + 1. assign V828420 = V934709 - 1. assign V041934 = V769461 + 1. assign V235940 = V660176. assign V257225 = V956286. assign V692219 = V803521 - 1. assign V260812 = V079302 + 1. assign V569897 = V952513 + 1. assign V314037 = V282236 - 1. assign V778126 = V928513 - 1. assign V697061 = V983081 - 1. assign V152145 = V243586 - 1. assign V462647 = V309747. assign V286089 = V145272. assign V983081 = V309747 + 1. assign V902881 = V569897 - 1. assign V292426 = V204767. assign V634722 = V934709. assign V803521 = V952513. assign V847555 = V070042 - 1. assign V750153 = V197390 - 1. assign V436387 = V009122. assign V666084 = V196495. assign V152057 = V179455. assign V753304 = V076370 - 1. assign V250026 = V712310. assign V167554 = V646690. assign V935220 = V634722 - 1. assign V196495 = V070042. assign V419343 = V021502. assign V584647 = V379080 + 1. assign V657122 = V383674. assign V448902 = V936939 + 1. assign V070042 = V318346 + 1. assign V852346 = V179455 - 1. assign V174474 = V689388 - 1. assign V728969 = V250026 - 1. assign V433169 = V363481 + 1. assign V927630 = V689388 + 1. assign V877592 = V935220 + 1. assign V215268 = V689388. assign V136332 = V928919 + 1. assign V081108 = V814304 - 1. assign V987368 = V215268 - 1. assign V441876 = V030029 + 1. assign V626584 = V047902 + 1. assign V260743 = V059861 + 1. assign V279722 = V952513. assign V841937 = V478979 - 1. assign V831459 = V260743. assign V769461 = V174474 - 1. assign V567131 = V379080. assign V333668 = V934709. assign V194395 = V005296 - 1. assign V044493 = V956286 + 1. assign V009122 = V433169 + 1. assign V060790 = V243586. assign V485675 = V936939 + 1. assign V079302 = V333668. assign V383997 = V363481 - 1. assign V463227 = V928919 - 1. assign V383674 = V952513 - 1. assign V163371 = V952513 + 1. assign V766191 = V005296 + 1. assign V311836 = V059861.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV047902 = 0;\n\nFrom these direct assignment(s), we have: \nV626584 = V047902 + 1 = 0 + 1 =1;\nNo other variables can be derived from V626584;\nNo other variables can be derived from V047902;\n\nNow we have done all the calculations. Derived variables are:\nV047902 = 0;\nV626584 = 1;\n\nNow we have finished this problem. ANSWER:\nV626584\n", "role": "assistant" } ]

[ "V658499", "V149309" ]

[ { "content": "<context>\nassign V179852 = V186518 + 1. assign V350077 = V895775. assign V040096 = V763828. assign V662447 = V332724 + 1. assign V885242 = V895775 - 1. assign V429845 = V517989 + 1. assign V666499 = V469594 - 1. assign V618270 = V171985 + 1. assign V325920 = V517989 + 1. assign V823758 = V391394. assign V048855 = V137701. assign V425540 = V186518 + 1. assign V431442 = V174197 + 1. assign V963152 = V333118 + 1. assign V471970 = V592838 - 1. assign V772207 = V914906. assign V531309 = V409256 - 1. assign V622452 = V455558 + 1. assign V895453 = V177531 - 1. assign V020383 = V228135 - 1. assign V045979 = V105670 - 1. assign V364760 = V179275 - 1. assign V895775 = V444787 - 1. assign V020285 = V391394. assign V947847 = V391394 + 1. assign V914906 = V475666 + 1. assign V060820 = V452465 - 1. assign V297314 = V848087 + 1. assign V436337 = V325920 + 1. assign V009513 = V753117. assign V528090 = V730610 + 1. assign V819711 = V452465. assign V090878 = V129651. assign V179275 = V699361. assign V401311 = V399371 - 1. assign V862350 = V592838. assign V129651 = V186518. assign V338457 = V201037 + 1. assign V009394 = V574699 - 1. assign V296485 = V475666 + 1. assign V281224 = V844764 + 1. assign V846404 = V764307 + 1. assign V509616 = V908300 + 1. assign V484507 = V473159 + 1. assign V122834 = V923976 - 1. assign V201037 = V105670 + 1. assign V985723 = V941033 + 1. assign V105670 = V517989. assign V935505 = V687093 + 1. assign V248798 = V846404. assign V500715 = V679272 + 1. assign V231214 = V607164 + 1. assign V230249 = V203551. assign V452465 = V819421 + 1. assign V053131 = V354033 - 1. assign V764307 = V325920 - 1. assign V172265 = V284560. assign V673080 = V787311. assign V934201 = V429845. assign V148037 = V862350. assign V637765 = V792232 - 1. assign V952129 = V819421 + 1. assign V370214 = V730610 + 1. assign V592838 = V947847 + 1. assign V574699 = V452465. assign V797326 = V391394 + 1. assign V607164 = V895775. assign V985622 = V391394 + 1. assign V171985 = V354033. assign V177531 = V814344 + 1. assign V263041 = V154902 - 1. assign V658499 = 1. assign V137701 = V730610 - 1. assign V215528 = V110019 - 1. assign V109113 = V935505. assign V719904 = V364760 - 1. assign V391394 = V517989 - 1. assign V473159 = V045979 + 1. assign V064753 = V517989. assign V298713 = V059902 + 1. assign V763828 = V348870 + 1. assign V751827 = V730610 - 1. assign V027532 = V293826 - 1. assign V284473 = V611260 - 1. assign V119473 = V401311 + 1. assign V392510 = V797326 - 1. assign V950472 = V332724. assign V822008 = V763828 + 1. assign V333118 = V064753. assign V332724 = V730610 - 1. assign V923976 = V137701 - 1. assign V284560 = V517989 + 1. assign V814344 = V009394 + 1. assign V169208 = V833960 + 1. assign V908300 = V528090. assign V203551 = V797326 + 1. assign V890209 = V176469 + 1. assign V883055 = V792232 - 1. assign V228135 = V332724 + 1. assign V527507 = V460639 + 1. assign V699361 = V284560 - 1. assign V908708 = V348870. assign V186518 = V284560. assign V730610 = V325920 - 1. assign V439217 = V201037 - 1. assign V558375 = V831843 + 1. assign V059902 = V333118 + 1. assign V444787 = V452465 + 1. assign V010929 = V895775 - 1. assign V508383 = V392510 + 1. assign V460639 = V469594. assign V954251 = V537239. assign V731234 = V392510 - 1. assign V786861 = V751827 + 1. assign V399371 = V797326 - 1. assign V469214 = V611260 - 1. assign V558277 = V045979 + 1. assign V732845 = V350077 + 1. assign V767509 = V573912 + 1. assign V399512 = V332724 - 1. assign V819129 = V699361 - 1. assign V808588 = V391394. assign V941033 = V862350 + 1. assign V748599 = V020285 - 1. assign V831843 = V517989. assign V294942 = V753117. assign V475666 = V730610. assign V390103 = V908708 - 1. assign V544453 = V558375 - 1. assign V728641 = V190745 + 1. assign V819421 = V517989 - 1. assign V986536 = V786861 + 1. assign V687093 = V607164 - 1. assign V778889 = V338457 + 1. assign V426499 = V853456 - 1. assign V844764 = V607164 - 1. assign V455558 = V923976 + 1. assign V354033 = V296485 - 1. assign V020755 = V186518. assign V787311 = V753117 - 1. assign V469594 = V679272 - 1. assign V059491 = V819129. assign V143241 = V203551. assign V176469 = V059902 - 1. assign V190745 = V517989 + 1. assign V191347 = V853456. assign V537239 = V764307. assign V792232 = V392510. assign V611260 = V819711 - 1. assign V381589 = V172265. assign V281442 = V391394 - 1. assign V409256 = V248798. assign V071536 = V792232 - 1. assign V106393 = V392510. assign V154902 = V064753. assign V824445 = V391394 + 1. assign V155008 = V662447 - 1. assign V573912 = V751827 + 1. assign V758899 = V338457 + 1. assign V110019 = V143241. assign V174197 = V831843 + 1. assign V348870 = V819421 + 1. assign V753117 = V154902 - 1. assign V848087 = V730610. assign V833960 = V228135. assign V335273 = V248798 + 1. assign V149309 = V658499. assign V853456 = V963152 + 1. assign V821878 = V045979 - 1. assign V537903 = V687093. assign V293826 = V819421 - 1. assign V679272 = V452465 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V179852 = V186518 + 1. assign V350077 = V895775. assign V040096 = V763828. assign V662447 = V332724 + 1. assign V885242 = V895775 - 1. assign V429845 = V517989 + 1. assign V666499 = V469594 - 1. assign V618270 = V171985 + 1. assign V325920 = V517989 + 1. assign V823758 = V391394. assign V048855 = V137701. assign V425540 = V186518 + 1. assign V431442 = V174197 + 1. assign V963152 = V333118 + 1. assign V471970 = V592838 - 1. assign V772207 = V914906. assign V531309 = V409256 - 1. assign V622452 = V455558 + 1. assign V895453 = V177531 - 1. assign V020383 = V228135 - 1. assign V045979 = V105670 - 1. assign V364760 = V179275 - 1. assign V895775 = V444787 - 1. assign V020285 = V391394. assign V947847 = V391394 + 1. assign V914906 = V475666 + 1. assign V060820 = V452465 - 1. assign V297314 = V848087 + 1. assign V436337 = V325920 + 1. assign V009513 = V753117. assign V528090 = V730610 + 1. assign V819711 = V452465. assign V090878 = V129651. assign V179275 = V699361. assign V401311 = V399371 - 1. assign V862350 = V592838. assign V129651 = V186518. assign V338457 = V201037 + 1. assign V009394 = V574699 - 1. assign V296485 = V475666 + 1. assign V281224 = V844764 + 1. assign V846404 = V764307 + 1. assign V509616 = V908300 + 1. assign V484507 = V473159 + 1. assign V122834 = V923976 - 1. assign V201037 = V105670 + 1. assign V985723 = V941033 + 1. assign V105670 = V517989. assign V935505 = V687093 + 1. assign V248798 = V846404. assign V500715 = V679272 + 1. assign V231214 = V607164 + 1. assign V230249 = V203551. assign V452465 = V819421 + 1. assign V053131 = V354033 - 1. assign V764307 = V325920 - 1. assign V172265 = V284560. assign V673080 = V787311. assign V934201 = V429845. assign V148037 = V862350. assign V637765 = V792232 - 1. assign V952129 = V819421 + 1. assign V370214 = V730610 + 1. assign V592838 = V947847 + 1. assign V574699 = V452465. assign V797326 = V391394 + 1. assign V607164 = V895775. assign V985622 = V391394 + 1. assign V171985 = V354033. assign V177531 = V814344 + 1. assign V263041 = V154902 - 1. assign V658499 = 1. assign V137701 = V730610 - 1. assign V215528 = V110019 - 1. assign V109113 = V935505. assign V719904 = V364760 - 1. assign V391394 = V517989 - 1. assign V473159 = V045979 + 1. assign V064753 = V517989. assign V298713 = V059902 + 1. assign V763828 = V348870 + 1. assign V751827 = V730610 - 1. assign V027532 = V293826 - 1. assign V284473 = V611260 - 1. assign V119473 = V401311 + 1. assign V392510 = V797326 - 1. assign V950472 = V332724. assign V822008 = V763828 + 1. assign V333118 = V064753. assign V332724 = V730610 - 1. assign V923976 = V137701 - 1. assign V284560 = V517989 + 1. assign V814344 = V009394 + 1. assign V169208 = V833960 + 1. assign V908300 = V528090. assign V203551 = V797326 + 1. assign V890209 = V176469 + 1. assign V883055 = V792232 - 1. assign V228135 = V332724 + 1. assign V527507 = V460639 + 1. assign V699361 = V284560 - 1. assign V908708 = V348870. assign V186518 = V284560. assign V730610 = V325920 - 1. assign V439217 = V201037 - 1. assign V558375 = V831843 + 1. assign V059902 = V333118 + 1. assign V444787 = V452465 + 1. assign V010929 = V895775 - 1. assign V508383 = V392510 + 1. assign V460639 = V469594. assign V954251 = V537239. assign V731234 = V392510 - 1. assign V786861 = V751827 + 1. assign V399371 = V797326 - 1. assign V469214 = V611260 - 1. assign V558277 = V045979 + 1. assign V732845 = V350077 + 1. assign V767509 = V573912 + 1. assign V399512 = V332724 - 1. assign V819129 = V699361 - 1. assign V808588 = V391394. assign V941033 = V862350 + 1. assign V748599 = V020285 - 1. assign V831843 = V517989. assign V294942 = V753117. assign V475666 = V730610. assign V390103 = V908708 - 1. assign V544453 = V558375 - 1. assign V728641 = V190745 + 1. assign V819421 = V517989 - 1. assign V986536 = V786861 + 1. assign V687093 = V607164 - 1. assign V778889 = V338457 + 1. assign V426499 = V853456 - 1. assign V844764 = V607164 - 1. assign V455558 = V923976 + 1. assign V354033 = V296485 - 1. assign V020755 = V186518. assign V787311 = V753117 - 1. assign V469594 = V679272 - 1. assign V059491 = V819129. assign V143241 = V203551. assign V176469 = V059902 - 1. assign V190745 = V517989 + 1. assign V191347 = V853456. assign V537239 = V764307. assign V792232 = V392510. assign V611260 = V819711 - 1. assign V381589 = V172265. assign V281442 = V391394 - 1. assign V409256 = V248798. assign V071536 = V792232 - 1. assign V106393 = V392510. assign V154902 = V064753. assign V824445 = V391394 + 1. assign V155008 = V662447 - 1. assign V573912 = V751827 + 1. assign V758899 = V338457 + 1. assign V110019 = V143241. assign V174197 = V831843 + 1. assign V348870 = V819421 + 1. assign V753117 = V154902 - 1. assign V848087 = V730610. assign V833960 = V228135. assign V335273 = V248798 + 1. assign V149309 = V658499. assign V853456 = V963152 + 1. assign V821878 = V045979 - 1. assign V537903 = V687093. assign V293826 = V819421 - 1. assign V679272 = V452465 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV658499 = 1;\n\nFrom these direct assignment(s), we have: \nV149309 = V658499 = 1;\nNo other variables can be derived from V149309;\nNo other variables can be derived from V658499;\n\nNow we have done all the calculations. Derived variables are:\nV658499 = 1;\nV149309 = 1;\n\nNow we have finished this problem. ANSWER:\nV658499, V149309\n", "role": "assistant" } ]

[ "V161968" ]

[ { "content": "<context>\nassign V297886 = V623406 - 1. assign V423749 = V470801 + 1. assign V378769 = V142314. assign V972934 = V587729. assign V444153 = V435914 + 1. assign V607092 = V310536 + 1. assign V652319 = V433747 + 1. assign V513609 = V494248 - 1. assign V436367 = V778232. assign V800044 = V439918 - 1. assign V123301 = V049881. assign V310536 = V755080. assign V329126 = V071606. assign V778937 = V418515 + 1. assign V228569 = V310536 + 1. assign V705645 = V071606 + 1. assign V171743 = V824724. assign V913811 = V071606 - 1. assign V084354 = V899804 - 1. assign V357788 = V403705 + 1. assign V815615 = V806041 - 1. assign V539508 = V607092 + 1. assign V433747 = V568225. assign V568225 = V623406 + 1. assign V170120 = V612794 - 1. assign V083562 = V644934 + 1. assign V700782 = V028503 + 1. assign V423315 = V929519. assign V227243 = V806041 + 1. assign V275135 = V513609 - 1. assign V723399 = V439918 - 1. assign V899750 = V726828 - 1. assign V353282 = V668440 + 1. assign V807055 = V433747. assign V046333 = V657493 + 1. assign V753774 = V500876 + 1. assign V014010 = V112770. assign V922223 = 0. assign V161968 = V922223 - 1. assign V669455 = V721064. assign V908885 = V856460 + 1. assign V755080 = V403705. assign V859312 = V494248 - 1. assign V699689 = V721064 - 1. assign V135250 = V587729 - 1. assign V560007 = V211718 + 1. assign V843716 = V465105. assign V721064 = V755080. assign V246615 = V800044 - 1. assign V220341 = V486941 - 1. assign V492188 = V451466. assign V639710 = V544554. assign V464518 = V859312 - 1. assign V126974 = V580085 + 1. assign V667909 = V047953. assign V353283 = V721064 - 1. assign V897280 = V668440. assign V778232 = V893985 - 1. assign V598806 = V353283. assign V422558 = V453735 - 1. assign V500007 = V353282 - 1. assign V564910 = V669455 + 1. assign V903448 = V815615 + 1. assign V092842 = V972934 - 1. assign V242548 = V705645 - 1. assign V451466 = V895324. assign V212738 = V030908 + 1. assign V417994 = V423315. assign V743219 = V357788 + 1. assign V521255 = V705645. assign V418515 = V806041 + 1. assign V973069 = V802217 - 1. assign V592523 = V439918 + 1. assign V586959 = V092842 + 1. assign V820467 = V435914 - 1. assign V088669 = V451466 + 1. assign V644934 = V268138 - 1. assign V449759 = V695208 + 1. assign V961611 = V047956 + 1. assign V035371 = V644934 - 1. assign V812565 = V403705 - 1. assign V275732 = V423315. assign V470801 = V046333 + 1. assign V011486 = V088589. assign V561414 = V657493 - 1. assign V899804 = V897280. assign V606268 = V433747. assign V895324 = V859312 - 1. assign V281761 = V669455 + 1. assign V088589 = V606268 - 1. assign V164298 = V071606 + 1. assign V439918 = V755080 + 1. assign V786349 = V807055. assign V112770 = V883790 + 1. assign V257382 = V047956 + 1. assign V523403 = V897280 - 1. assign V049881 = V038837 + 1. assign V801820 = V587729. assign V544554 = V268138 - 1. assign V830602 = V465105 - 1. assign V213602 = V084354. assign V806041 = V268138 + 1. assign V494248 = V668440 + 1. assign V047956 = V544554 + 1. assign V668440 = V268138 + 1. assign V030908 = V972934. assign V659900 = V903448 - 1. assign V771615 = V353282 + 1. assign V444856 = V668440 - 1. assign V789808 = V668440 - 1. assign V274984 = V183912. assign V522884 = V723399 - 1. assign V397377 = V815615 - 1. assign V071606 = V403705. assign V276735 = V580085 - 1. assign V591972 = V046333 - 1. assign V883790 = V046333 + 1. assign V970355 = V403705 - 1. assign V404280 = V800044 - 1. assign V486941 = V112770. assign V893985 = V988665 - 1. assign V038837 = V142314 + 1. assign V211718 = V972934. assign V859003 = V465105. assign V518727 = V310536 + 1. assign V197187 = V929519 - 1. assign V403705 = V806041. assign V453735 = V523403 + 1. assign V990848 = V518727 + 1. assign V620667 = V899804. assign V587729 = V268138 - 1. assign V120107 = V929519. assign V552758 = V830602. assign V435914 = V025610. assign V108706 = V893985 - 1. assign V123349 = V047953 + 1. assign V076754 = V353283 - 1. assign V554573 = V893985 - 1. assign V918330 = V620667 - 1. assign V047953 = V212738. assign V406956 = V126974 - 1. assign V612794 = V587729. assign V686055 = V046333 + 1. assign V580085 = V403705 - 1. assign V689483 = V859312. assign V769278 = V669455 + 1. assign V695208 = V968209 - 1. assign V657493 = V897280. assign V142314 = V025610 + 1. assign V028503 = V620667 - 1. assign V183912 = V353282 + 1. assign V988665 = V972934 - 1. assign V837651 = V721064 + 1. assign V347536 = V903448 + 1. assign V623406 = V403705 + 1. assign V095994 = V837651 + 1. assign V170072 = V047953 - 1. assign V802217 = V899804 - 1. assign V337057 = V212738 + 1. assign V500876 = V071606 - 1. assign V025610 = V587729 + 1. assign V726828 = V755080 + 1. assign V110177 = V668440 + 1. assign V236077 = V500876 - 1. assign V824724 = V668440 + 1. assign V035748 = V500876 - 1. assign V977010 = V568225 + 1. assign V856460 = V120107. assign V465105 = V806041 - 1. assign V929519 = V657493. assign V013153 = V092842 - 1. assign V968209 = V657493 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V297886 = V623406 - 1. assign V423749 = V470801 + 1. assign V378769 = V142314. assign V972934 = V587729. assign V444153 = V435914 + 1. assign V607092 = V310536 + 1. assign V652319 = V433747 + 1. assign V513609 = V494248 - 1. assign V436367 = V778232. assign V800044 = V439918 - 1. assign V123301 = V049881. assign V310536 = V755080. assign V329126 = V071606. assign V778937 = V418515 + 1. assign V228569 = V310536 + 1. assign V705645 = V071606 + 1. assign V171743 = V824724. assign V913811 = V071606 - 1. assign V084354 = V899804 - 1. assign V357788 = V403705 + 1. assign V815615 = V806041 - 1. assign V539508 = V607092 + 1. assign V433747 = V568225. assign V568225 = V623406 + 1. assign V170120 = V612794 - 1. assign V083562 = V644934 + 1. assign V700782 = V028503 + 1. assign V423315 = V929519. assign V227243 = V806041 + 1. assign V275135 = V513609 - 1. assign V723399 = V439918 - 1. assign V899750 = V726828 - 1. assign V353282 = V668440 + 1. assign V807055 = V433747. assign V046333 = V657493 + 1. assign V753774 = V500876 + 1. assign V014010 = V112770. assign V922223 = 0. assign V161968 = V922223 - 1. assign V669455 = V721064. assign V908885 = V856460 + 1. assign V755080 = V403705. assign V859312 = V494248 - 1. assign V699689 = V721064 - 1. assign V135250 = V587729 - 1. assign V560007 = V211718 + 1. assign V843716 = V465105. assign V721064 = V755080. assign V246615 = V800044 - 1. assign V220341 = V486941 - 1. assign V492188 = V451466. assign V639710 = V544554. assign V464518 = V859312 - 1. assign V126974 = V580085 + 1. assign V667909 = V047953. assign V353283 = V721064 - 1. assign V897280 = V668440. assign V778232 = V893985 - 1. assign V598806 = V353283. assign V422558 = V453735 - 1. assign V500007 = V353282 - 1. assign V564910 = V669455 + 1. assign V903448 = V815615 + 1. assign V092842 = V972934 - 1. assign V242548 = V705645 - 1. assign V451466 = V895324. assign V212738 = V030908 + 1. assign V417994 = V423315. assign V743219 = V357788 + 1. assign V521255 = V705645. assign V418515 = V806041 + 1. assign V973069 = V802217 - 1. assign V592523 = V439918 + 1. assign V586959 = V092842 + 1. assign V820467 = V435914 - 1. assign V088669 = V451466 + 1. assign V644934 = V268138 - 1. assign V449759 = V695208 + 1. assign V961611 = V047956 + 1. assign V035371 = V644934 - 1. assign V812565 = V403705 - 1. assign V275732 = V423315. assign V470801 = V046333 + 1. assign V011486 = V088589. assign V561414 = V657493 - 1. assign V899804 = V897280. assign V606268 = V433747. assign V895324 = V859312 - 1. assign V281761 = V669455 + 1. assign V088589 = V606268 - 1. assign V164298 = V071606 + 1. assign V439918 = V755080 + 1. assign V786349 = V807055. assign V112770 = V883790 + 1. assign V257382 = V047956 + 1. assign V523403 = V897280 - 1. assign V049881 = V038837 + 1. assign V801820 = V587729. assign V544554 = V268138 - 1. assign V830602 = V465105 - 1. assign V213602 = V084354. assign V806041 = V268138 + 1. assign V494248 = V668440 + 1. assign V047956 = V544554 + 1. assign V668440 = V268138 + 1. assign V030908 = V972934. assign V659900 = V903448 - 1. assign V771615 = V353282 + 1. assign V444856 = V668440 - 1. assign V789808 = V668440 - 1. assign V274984 = V183912. assign V522884 = V723399 - 1. assign V397377 = V815615 - 1. assign V071606 = V403705. assign V276735 = V580085 - 1. assign V591972 = V046333 - 1. assign V883790 = V046333 + 1. assign V970355 = V403705 - 1. assign V404280 = V800044 - 1. assign V486941 = V112770. assign V893985 = V988665 - 1. assign V038837 = V142314 + 1. assign V211718 = V972934. assign V859003 = V465105. assign V518727 = V310536 + 1. assign V197187 = V929519 - 1. assign V403705 = V806041. assign V453735 = V523403 + 1. assign V990848 = V518727 + 1. assign V620667 = V899804. assign V587729 = V268138 - 1. assign V120107 = V929519. assign V552758 = V830602. assign V435914 = V025610. assign V108706 = V893985 - 1. assign V123349 = V047953 + 1. assign V076754 = V353283 - 1. assign V554573 = V893985 - 1. assign V918330 = V620667 - 1. assign V047953 = V212738. assign V406956 = V126974 - 1. assign V612794 = V587729. assign V686055 = V046333 + 1. assign V580085 = V403705 - 1. assign V689483 = V859312. assign V769278 = V669455 + 1. assign V695208 = V968209 - 1. assign V657493 = V897280. assign V142314 = V025610 + 1. assign V028503 = V620667 - 1. assign V183912 = V353282 + 1. assign V988665 = V972934 - 1. assign V837651 = V721064 + 1. assign V347536 = V903448 + 1. assign V623406 = V403705 + 1. assign V095994 = V837651 + 1. assign V170072 = V047953 - 1. assign V802217 = V899804 - 1. assign V337057 = V212738 + 1. assign V500876 = V071606 - 1. assign V025610 = V587729 + 1. assign V726828 = V755080 + 1. assign V110177 = V668440 + 1. assign V236077 = V500876 - 1. assign V824724 = V668440 + 1. assign V035748 = V500876 - 1. assign V977010 = V568225 + 1. assign V856460 = V120107. assign V465105 = V806041 - 1. assign V929519 = V657493. assign V013153 = V092842 - 1. assign V968209 = V657493 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV922223 = 0;\n\nFrom these direct assignment(s), we have: \nV161968 = V922223 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V161968;\nNo other variables can be derived from V922223;\n\nNow we have done all the calculations. Derived variables are:\nV922223 = 0;\nV161968 = -1;\n\nNow we have finished this problem. ANSWER:\nV161968\n", "role": "assistant" } ]