Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k

like 0

[ "V923940", "V790088" ]

[ { "content": "<context>\nassign V830432 = V280444 - 1. assign V108927 = V716747 + 1. assign V739404 = V554812 - 1. assign V637331 = V255441 + 1. assign V322136 = V637331 - 1. assign V763217 = V622762 + 1. assign V705750 = V185762 + 1. assign V704533 = V887098. assign V592487 = V383419. assign V148411 = V902653 + 1. assign V923940 = 8. assign V403350 = V055234 - 1. assign V008088 = V054484. assign V902653 = V502473 - 1. assign V871618 = V592487 + 1. assign V914458 = V566775 - 1. assign V996441 = V502473. assign V543294 = V335412. assign V477592 = V208920 + 1. assign V382743 = V520896 - 1. assign V207553 = V410859 + 1. assign V128441 = V540930 + 1. assign V922263 = V181073. assign V982974 = V520896. assign V367486 = V931226 + 1. assign V352039 = V262060 + 1. assign V812069 = V627024 - 1. assign V255497 = V376361. assign V330706 = V124465 + 1. assign V607368 = V383419 + 1. assign V925555 = V922263 + 1. assign V765149 = V771257 - 1. assign V120978 = V640217 - 1. assign V309896 = V710987 - 1. assign V930885 = V419162 + 1. assign V622762 = V969776. assign V004084 = V352039. assign V058802 = V465257 - 1. assign V387107 = V520896 + 1. assign V318342 = V300443. assign V608372 = V622762. assign V433665 = V402963. assign V708295 = V710987 + 1. assign V463517 = V300443 + 1. assign V752870 = V128441 + 1. assign V174016 = V812897 + 1. assign V656718 = V710103 + 1. assign V200814 = V543294 - 1. assign V510602 = V931226 - 1. assign V376449 = V401045. assign V823080 = V402963 + 1. assign V059422 = V385027 - 1. assign V869319 = V208920 - 1. assign V891742 = V465257 - 1. assign V894161 = V211559 + 1. assign V242534 = V128441. assign V388398 = V352039 + 1. assign V124465 = V326540 + 1. assign V520896 = V510602 + 1. assign V512565 = V262060 + 1. assign V383419 = V394742 + 1. assign V540930 = V262060. assign V262060 = V181073. assign V208920 = V511640 - 1. assign V931226 = V394742 + 1. assign V335412 = V554812 - 1. assign V852510 = V922003. assign V300443 = V512565. assign V844455 = V922003 - 1. assign V055234 = V272699 + 1. assign V280444 = V262060 + 1. assign V394742 = V566775 - 1. assign V725506 = V638588 - 1. assign V438482 = V055234. assign V163867 = V465257 + 1. assign V173256 = V922003 + 1. assign V464324 = V352039 + 1. assign V699658 = V771807 + 1. assign V241794 = V830432 + 1. assign V869044 = V185762 - 1. assign V082992 = V996441. assign V771257 = V511640 - 1. assign V932975 = V521755 - 1. assign V326817 = V922263. assign V810387 = V151854 - 1. assign V151854 = V326540 + 1. assign V402963 = V511640 - 1. assign V101637 = V734128 + 1. assign V674411 = V058802 - 1. assign V419162 = V922003 - 1. assign V671549 = V173135 + 1. assign V430825 = V739404 + 1. assign V638588 = V277393. assign V096161 = V925555 + 1. assign V439888 = V058802 - 1. assign V054484 = V738018 - 1. assign V640217 = V823080 + 1. assign V812897 = V251046 - 1. assign V658303 = V004084 + 1. assign V414234 = V054484 + 1. assign V950805 = V511640 - 1. assign V131992 = V383419 + 1. assign V511640 = V925555 + 1. assign V326540 = V931226. assign V321221 = V566775 + 1. assign V399022 = V844455 + 1. assign V502473 = V394742 - 1. assign V821722 = V660781. assign V001560 = V131992 + 1. assign V558004 = V765149 - 1. assign V660781 = V554812 - 1. assign V251046 = V131992 - 1. assign V710987 = V181073 - 1. assign V376361 = V069890 + 1. assign V380658 = V300443 - 1. assign V272699 = V510602 + 1. assign V563714 = V540930. assign V922003 = V710103. assign V043266 = V185762 - 1. assign V202076 = V930885 + 1. assign V566775 = V710987 - 1. assign V644779 = V922263 + 1. assign V465257 = V925555 + 1. assign V410859 = V385027. assign V738018 = V208920 + 1. assign V683382 = V638588 - 1. assign V867869 = V658303 - 1. assign V554812 = V383419. assign V632985 = V844455 - 1. assign V023070 = V128441 + 1. assign V734128 = V128441 + 1. assign V960170 = V277393 - 1. assign V099540 = V720993 - 1. assign V211559 = V099540 - 1. assign V530032 = V950805 - 1. assign V525249 = V326540 + 1. assign V627024 = V043266 - 1. assign V586328 = V242534 - 1. assign V128655 = V326540 - 1. assign V313308 = V096161 - 1. assign V174564 = V262060 + 1. assign V329665 = V622762. assign V887098 = V710987. assign V549415 = V321221 - 1. assign V108826 = V439888 + 1. assign V277393 = V385027 - 1. assign V720993 = V388398 - 1. assign V521755 = V300443 + 1. assign V381038 = V710103. assign V677886 = V720993 - 1. assign V638163 = V914458 - 1. assign V401045 = V185762. assign V716747 = V181073 + 1. assign V050228 = V223804 - 1. assign V185762 = V352039 - 1. assign V514126 = V705750 - 1. assign V430153 = V300443 + 1. assign V616226 = V280444. assign V611523 = V054484 + 1. assign V385027 = V931226 + 1. assign V790088 = V923940. assign V223804 = V352039. assign V173135 = V608372. assign V255441 = V540930. assign V053636 = V891742 + 1. assign V229944 = V387107. assign V436447 = V223804 - 1. assign V710103 = V223804 + 1. assign V969776 = V925555 - 1. assign V069890 = V001560. assign V658882 = V540930 + 1. assign V771807 = V616226 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V830432 = V280444 - 1. assign V108927 = V716747 + 1. assign V739404 = V554812 - 1. assign V637331 = V255441 + 1. assign V322136 = V637331 - 1. assign V763217 = V622762 + 1. assign V705750 = V185762 + 1. assign V704533 = V887098. assign V592487 = V383419. assign V148411 = V902653 + 1. assign V923940 = 8. assign V403350 = V055234 - 1. assign V008088 = V054484. assign V902653 = V502473 - 1. assign V871618 = V592487 + 1. assign V914458 = V566775 - 1. assign V996441 = V502473. assign V543294 = V335412. assign V477592 = V208920 + 1. assign V382743 = V520896 - 1. assign V207553 = V410859 + 1. assign V128441 = V540930 + 1. assign V922263 = V181073. assign V982974 = V520896. assign V367486 = V931226 + 1. assign V352039 = V262060 + 1. assign V812069 = V627024 - 1. assign V255497 = V376361. assign V330706 = V124465 + 1. assign V607368 = V383419 + 1. assign V925555 = V922263 + 1. assign V765149 = V771257 - 1. assign V120978 = V640217 - 1. assign V309896 = V710987 - 1. assign V930885 = V419162 + 1. assign V622762 = V969776. assign V004084 = V352039. assign V058802 = V465257 - 1. assign V387107 = V520896 + 1. assign V318342 = V300443. assign V608372 = V622762. assign V433665 = V402963. assign V708295 = V710987 + 1. assign V463517 = V300443 + 1. assign V752870 = V128441 + 1. assign V174016 = V812897 + 1. assign V656718 = V710103 + 1. assign V200814 = V543294 - 1. assign V510602 = V931226 - 1. assign V376449 = V401045. assign V823080 = V402963 + 1. assign V059422 = V385027 - 1. assign V869319 = V208920 - 1. assign V891742 = V465257 - 1. assign V894161 = V211559 + 1. assign V242534 = V128441. assign V388398 = V352039 + 1. assign V124465 = V326540 + 1. assign V520896 = V510602 + 1. assign V512565 = V262060 + 1. assign V383419 = V394742 + 1. assign V540930 = V262060. assign V262060 = V181073. assign V208920 = V511640 - 1. assign V931226 = V394742 + 1. assign V335412 = V554812 - 1. assign V852510 = V922003. assign V300443 = V512565. assign V844455 = V922003 - 1. assign V055234 = V272699 + 1. assign V280444 = V262060 + 1. assign V394742 = V566775 - 1. assign V725506 = V638588 - 1. assign V438482 = V055234. assign V163867 = V465257 + 1. assign V173256 = V922003 + 1. assign V464324 = V352039 + 1. assign V699658 = V771807 + 1. assign V241794 = V830432 + 1. assign V869044 = V185762 - 1. assign V082992 = V996441. assign V771257 = V511640 - 1. assign V932975 = V521755 - 1. assign V326817 = V922263. assign V810387 = V151854 - 1. assign V151854 = V326540 + 1. assign V402963 = V511640 - 1. assign V101637 = V734128 + 1. assign V674411 = V058802 - 1. assign V419162 = V922003 - 1. assign V671549 = V173135 + 1. assign V430825 = V739404 + 1. assign V638588 = V277393. assign V096161 = V925555 + 1. assign V439888 = V058802 - 1. assign V054484 = V738018 - 1. assign V640217 = V823080 + 1. assign V812897 = V251046 - 1. assign V658303 = V004084 + 1. assign V414234 = V054484 + 1. assign V950805 = V511640 - 1. assign V131992 = V383419 + 1. assign V511640 = V925555 + 1. assign V326540 = V931226. assign V321221 = V566775 + 1. assign V399022 = V844455 + 1. assign V502473 = V394742 - 1. assign V821722 = V660781. assign V001560 = V131992 + 1. assign V558004 = V765149 - 1. assign V660781 = V554812 - 1. assign V251046 = V131992 - 1. assign V710987 = V181073 - 1. assign V376361 = V069890 + 1. assign V380658 = V300443 - 1. assign V272699 = V510602 + 1. assign V563714 = V540930. assign V922003 = V710103. assign V043266 = V185762 - 1. assign V202076 = V930885 + 1. assign V566775 = V710987 - 1. assign V644779 = V922263 + 1. assign V465257 = V925555 + 1. assign V410859 = V385027. assign V738018 = V208920 + 1. assign V683382 = V638588 - 1. assign V867869 = V658303 - 1. assign V554812 = V383419. assign V632985 = V844455 - 1. assign V023070 = V128441 + 1. assign V734128 = V128441 + 1. assign V960170 = V277393 - 1. assign V099540 = V720993 - 1. assign V211559 = V099540 - 1. assign V530032 = V950805 - 1. assign V525249 = V326540 + 1. assign V627024 = V043266 - 1. assign V586328 = V242534 - 1. assign V128655 = V326540 - 1. assign V313308 = V096161 - 1. assign V174564 = V262060 + 1. assign V329665 = V622762. assign V887098 = V710987. assign V549415 = V321221 - 1. assign V108826 = V439888 + 1. assign V277393 = V385027 - 1. assign V720993 = V388398 - 1. assign V521755 = V300443 + 1. assign V381038 = V710103. assign V677886 = V720993 - 1. assign V638163 = V914458 - 1. assign V401045 = V185762. assign V716747 = V181073 + 1. assign V050228 = V223804 - 1. assign V185762 = V352039 - 1. assign V514126 = V705750 - 1. assign V430153 = V300443 + 1. assign V616226 = V280444. assign V611523 = V054484 + 1. assign V385027 = V931226 + 1. assign V790088 = V923940. assign V223804 = V352039. assign V173135 = V608372. assign V255441 = V540930. assign V053636 = V891742 + 1. assign V229944 = V387107. assign V436447 = V223804 - 1. assign V710103 = V223804 + 1. assign V969776 = V925555 - 1. assign V069890 = V001560. assign V658882 = V540930 + 1. assign V771807 = V616226 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV923940 = 8;\n\nFrom these direct assignment(s), we have: \nV790088 = V923940 = 8;\nNo other variables can be derived from V790088;\nNo other variables can be derived from V923940;\n\nNow we have done all the calculations. Derived variables are:\nV923940 = 8;\nV790088 = 8;\n\nNow we have finished this problem. ANSWER:\nV923940, V790088\n", "role": "assistant" } ]

[ "V269130" ]

[ { "content": "<context>\nassign V408477 = V852970 + 1. assign V333141 = V516395 + 1. assign V143397 = V814907. assign V548888 = V822917. assign V054182 = V863867 - 1. assign V492285 = V809316 - 1. assign V945817 = V710033 - 1. assign V009082 = V210967 + 1. assign V036832 = V250889 + 1. assign V590267 = V157054. assign V694382 = V160353 - 1. assign V958905 = V466347. assign V715767 = V949126. assign V160353 = V851870 - 1. assign V956051 = V044723 + 1. assign V095872 = V852970. assign V277536 = V356249. assign V250889 = V179328. assign V648214 = V572541. assign V863867 = V569505 + 1. assign V233916 = V523553 - 1. assign V315173 = V336299 - 1. assign V336299 = V856387. assign V767383 = V648747. assign V872357 = V985037 + 1. assign V079451 = V833258 - 1. assign V063931 = V809316 + 1. assign V434835 = V292748 + 1. assign V351660 = V900140 - 1. assign V636720 = V292748. assign V572821 = V861851 - 1. assign V569505 = V822917. assign V230588 = V857698 - 1. assign V401044 = V259090 - 1. assign V880341 = V685538. assign V808891 = V082931 + 1. assign V067484 = V382966 - 1. assign V861851 = V113753. assign V382966 = V312497 - 1. assign V005950 = V709738. assign V387140 = V259090 + 1. assign V523553 = V729960 + 1. assign V312497 = V709738 + 1. assign V164478 = V709738 + 1. assign V856387 = V445622 + 1. assign V095085 = V337465 + 1. assign V949126 = V401044 + 1. assign V801131 = V044723 + 1. assign V894210 = V833258 + 1. assign V520078 = V044723 - 1. assign V572541 = V956051. assign V408038 = V965597 - 1. assign V641629 = V036832 + 1. assign V293327 = V861851. assign V899817 = V809316 + 1. assign V222156 = V376611. assign V586255 = V684409. assign V270872 = V382966 + 1. assign V383773 = V900140. assign V597159 = V164478 + 1. assign V896183 = V259090 + 1. assign V921697 = V230588 + 1. assign V809316 = V801131. assign V216389 = V264798 + 1. assign V409809 = V270872. assign V589467 = V336968 + 1. assign V866198 = V294978 - 1. assign V814907 = V809316 + 1. assign V786547 = V956051 + 1. assign V516395 = V826902 - 1. assign V292748 = V250889 - 1. assign V572687 = V164478 - 1. assign V712589 = V270872 + 1. assign V210967 = V577246 - 1. assign V760463 = V387140 - 1. assign V747993 = V685538 - 1. assign V044723 = V857698. assign V810311 = V179328. assign V272237 = V814907 + 1. assign V466347 = V760163. assign V223644 = V262030 - 1. assign V548341 = V900140 - 1. assign V729960 = V833258. assign V269130 = 8. assign V445622 = V851870. assign V565577 = V572821. assign V774326 = V712589 - 1. assign V578306 = V260439. assign V376611 = V336968. assign V294978 = V833258 + 1. assign V543948 = V851870. assign V498406 = V747993. assign V976103 = V216389 + 1. assign V249343 = V466057. assign V822917 = V264798 + 1. assign V337465 = V857698. assign V377920 = V965597. assign V826902 = V376611. assign V985037 = V179328. assign V423809 = V337465. assign V010642 = V312497 - 1. assign V709738 = V264798 + 1. assign V173082 = V383773 + 1. assign V433839 = V561644. assign V854565 = V638875 + 1. assign V427416 = V548888 + 1. assign V375156 = V684409. assign V737366 = V485651 - 1. assign V255568 = V851870. assign V879650 = V260439 - 1. assign V198860 = V899817. assign V851870 = V044723 - 1. assign V157054 = V044723 + 1. assign V749042 = V376611 - 1. assign V182622 = V292748. assign V480746 = V054182 - 1. assign V868510 = V157054 - 1. assign V852970 = V568103 - 1. assign V577246 = V160353 - 1. assign V029495 = V578306. assign V087017 = V833258. assign V626394 = V648214 - 1. assign V466057 = V157054. assign V114792 = V760163. assign V082931 = V857698 + 1. assign V685538 = V336968. assign V018584 = V773652 - 1. assign V710033 = V427416. assign V963729 = V336968 + 1. assign V302812 = V446937 - 1. assign V760163 = V067484. assign V686518 = V337465 - 1. assign V530907 = V005950 - 1. assign V836182 = V036832. assign V337641 = V626394 + 1. assign V958743 = V262030 - 1. assign V123310 = V312497. assign V568103 = V822917 + 1. assign V638875 = V636720. assign V243078 = V485651 - 1. assign V262030 = V010642 + 1. assign V168979 = V259090 + 1. assign V437734 = V498406 + 1. assign V561644 = V641629 + 1. assign V244886 = V548888. assign V485651 = V810311. assign V113753 = V446937 + 1. assign V060338 = V408477. assign V524286 = V255568. assign V260439 = V872357. assign V550050 = V523553 - 1. assign V356249 = V965597 + 1. assign V648747 = V466057 - 1. assign V900140 = V243078 - 1. assign V833258 = V179328 + 1. assign V013620 = V376611 - 1. assign V309888 = V801131. assign V773652 = V543948 + 1. assign V179328 = V375156. assign V446937 = V810311 + 1. assign V508230 = V095872 - 1. assign V259090 = V709738 - 1. assign V264798 = V044723 - 1. assign V965597 = V337465. assign V684409 = V857698. assign V084928 = V269130 + 1. assign V860795 = V965597. assign V848624 = V900140. assign V817980 = V067484. assign V336968 = V259090 - 1. assign V847750 = V095085 - 1. assign V109513 = V336968 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V408477 = V852970 + 1. assign V333141 = V516395 + 1. assign V143397 = V814907. assign V548888 = V822917. assign V054182 = V863867 - 1. assign V492285 = V809316 - 1. assign V945817 = V710033 - 1. assign V009082 = V210967 + 1. assign V036832 = V250889 + 1. assign V590267 = V157054. assign V694382 = V160353 - 1. assign V958905 = V466347. assign V715767 = V949126. assign V160353 = V851870 - 1. assign V956051 = V044723 + 1. assign V095872 = V852970. assign V277536 = V356249. assign V250889 = V179328. assign V648214 = V572541. assign V863867 = V569505 + 1. assign V233916 = V523553 - 1. assign V315173 = V336299 - 1. assign V336299 = V856387. assign V767383 = V648747. assign V872357 = V985037 + 1. assign V079451 = V833258 - 1. assign V063931 = V809316 + 1. assign V434835 = V292748 + 1. assign V351660 = V900140 - 1. assign V636720 = V292748. assign V572821 = V861851 - 1. assign V569505 = V822917. assign V230588 = V857698 - 1. assign V401044 = V259090 - 1. assign V880341 = V685538. assign V808891 = V082931 + 1. assign V067484 = V382966 - 1. assign V861851 = V113753. assign V382966 = V312497 - 1. assign V005950 = V709738. assign V387140 = V259090 + 1. assign V523553 = V729960 + 1. assign V312497 = V709738 + 1. assign V164478 = V709738 + 1. assign V856387 = V445622 + 1. assign V095085 = V337465 + 1. assign V949126 = V401044 + 1. assign V801131 = V044723 + 1. assign V894210 = V833258 + 1. assign V520078 = V044723 - 1. assign V572541 = V956051. assign V408038 = V965597 - 1. assign V641629 = V036832 + 1. assign V293327 = V861851. assign V899817 = V809316 + 1. assign V222156 = V376611. assign V586255 = V684409. assign V270872 = V382966 + 1. assign V383773 = V900140. assign V597159 = V164478 + 1. assign V896183 = V259090 + 1. assign V921697 = V230588 + 1. assign V809316 = V801131. assign V216389 = V264798 + 1. assign V409809 = V270872. assign V589467 = V336968 + 1. assign V866198 = V294978 - 1. assign V814907 = V809316 + 1. assign V786547 = V956051 + 1. assign V516395 = V826902 - 1. assign V292748 = V250889 - 1. assign V572687 = V164478 - 1. assign V712589 = V270872 + 1. assign V210967 = V577246 - 1. assign V760463 = V387140 - 1. assign V747993 = V685538 - 1. assign V044723 = V857698. assign V810311 = V179328. assign V272237 = V814907 + 1. assign V466347 = V760163. assign V223644 = V262030 - 1. assign V548341 = V900140 - 1. assign V729960 = V833258. assign V269130 = 8. assign V445622 = V851870. assign V565577 = V572821. assign V774326 = V712589 - 1. assign V578306 = V260439. assign V376611 = V336968. assign V294978 = V833258 + 1. assign V543948 = V851870. assign V498406 = V747993. assign V976103 = V216389 + 1. assign V249343 = V466057. assign V822917 = V264798 + 1. assign V337465 = V857698. assign V377920 = V965597. assign V826902 = V376611. assign V985037 = V179328. assign V423809 = V337465. assign V010642 = V312497 - 1. assign V709738 = V264798 + 1. assign V173082 = V383773 + 1. assign V433839 = V561644. assign V854565 = V638875 + 1. assign V427416 = V548888 + 1. assign V375156 = V684409. assign V737366 = V485651 - 1. assign V255568 = V851870. assign V879650 = V260439 - 1. assign V198860 = V899817. assign V851870 = V044723 - 1. assign V157054 = V044723 + 1. assign V749042 = V376611 - 1. assign V182622 = V292748. assign V480746 = V054182 - 1. assign V868510 = V157054 - 1. assign V852970 = V568103 - 1. assign V577246 = V160353 - 1. assign V029495 = V578306. assign V087017 = V833258. assign V626394 = V648214 - 1. assign V466057 = V157054. assign V114792 = V760163. assign V082931 = V857698 + 1. assign V685538 = V336968. assign V018584 = V773652 - 1. assign V710033 = V427416. assign V963729 = V336968 + 1. assign V302812 = V446937 - 1. assign V760163 = V067484. assign V686518 = V337465 - 1. assign V530907 = V005950 - 1. assign V836182 = V036832. assign V337641 = V626394 + 1. assign V958743 = V262030 - 1. assign V123310 = V312497. assign V568103 = V822917 + 1. assign V638875 = V636720. assign V243078 = V485651 - 1. assign V262030 = V010642 + 1. assign V168979 = V259090 + 1. assign V437734 = V498406 + 1. assign V561644 = V641629 + 1. assign V244886 = V548888. assign V485651 = V810311. assign V113753 = V446937 + 1. assign V060338 = V408477. assign V524286 = V255568. assign V260439 = V872357. assign V550050 = V523553 - 1. assign V356249 = V965597 + 1. assign V648747 = V466057 - 1. assign V900140 = V243078 - 1. assign V833258 = V179328 + 1. assign V013620 = V376611 - 1. assign V309888 = V801131. assign V773652 = V543948 + 1. assign V179328 = V375156. assign V446937 = V810311 + 1. assign V508230 = V095872 - 1. assign V259090 = V709738 - 1. assign V264798 = V044723 - 1. assign V965597 = V337465. assign V684409 = V857698. assign V084928 = V269130 + 1. assign V860795 = V965597. assign V848624 = V900140. assign V817980 = V067484. assign V336968 = V259090 - 1. assign V847750 = V095085 - 1. assign V109513 = V336968 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV269130 = 8;\n\nFrom these direct assignment(s), we have: \nV084928 = V269130 + 1 = 8 + 1 =9;\nNo other variables can be derived from V084928;\nNo other variables can be derived from V269130;\n\nNow we have done all the calculations. Derived variables are:\nV269130 = 8;\nV084928 = 9;\n\nNow we have finished this problem. ANSWER:\nV269130\n", "role": "assistant" } ]

[ "V276695" ]

[ { "content": "<context>\nassign V069711 = V416975 + 1. assign V134635 = V134052. assign V973859 = V991686 - 1. assign V228861 = V406072 - 1. assign V703606 = V578531. assign V605466 = V668503. assign V461865 = V605466. assign V028001 = V228861 - 1. assign V256726 = V752612 - 1. assign V923659 = V065908 - 1. assign V531344 = V738947 - 1. assign V422092 = V442802 - 1. assign V958691 = V785328 - 1. assign V510319 = V062590. assign V882250 = V239322 + 1. assign V029945 = V652823 - 1. assign V197643 = V134052. assign V514745 = V065908. assign V592622 = V335269 - 1. assign V947748 = V388161 - 1. assign V066107 = V239322 - 1. assign V510903 = V249061. assign V566606 = V239322 + 1. assign V835330 = V510903 - 1. assign V375351 = V652823. assign V306514 = V536602. assign V971238 = V954887. assign V118063 = V873701 + 1. assign V134052 = V668503 - 1. assign V406072 = V525794 + 1. assign V508475 = V179780. assign V755267 = V025380. assign V717722 = V042856 - 1. assign V739094 = V652823 - 1. assign V095058 = V722679 - 1. assign V534249 = V785328 + 1. assign V249061 = V158586 - 1. assign V640720 = V578531 + 1. assign V668813 = V667403 + 1. assign V540915 = V566606. assign V779938 = V068980. assign V135665 = V536602. assign V497170 = V738947. assign V752405 = V066107 - 1. assign V179780 = V063704 - 1. assign V874835 = V873701. assign V849635 = V613466. assign V726567 = V815161 - 1. assign V416975 = V667403 - 1. assign V035710 = V129499 + 1. assign V667403 = V239322 + 1. assign V330263 = V744577 + 1. assign V635887 = V951891 - 1. assign V687059 = V480437. assign V780439 = V738947 + 1. assign V220339 = V536602 + 1. assign V466863 = V566606 + 1. assign V021641 = V335269 + 1. assign V713657 = V461865. assign V900582 = V276695 + 1. assign V335269 = V882250 - 1. assign V557046 = V197643 - 1. assign V880125 = V110430. assign V509122 = V557046 + 1. assign V766824 = V027564 + 1. assign V157655 = V613466 + 1. assign V407181 = V899014. assign V525794 = V668503 - 1. assign V680463 = V611719 - 1. assign V873701 = V068980 - 1. assign V951891 = V667403 + 1. assign V442802 = V965104 + 1. assign V063704 = V134052 - 1. assign V954887 = V093665. assign V396781 = V077888. assign V570991 = V668503 - 1. assign V791482 = V025380 + 1. assign V736248 = V244827. assign V797259 = V736248 + 1. assign V611719 = V250700 + 1. assign V757561 = V707248 - 1. assign V707248 = V752405 + 1. assign V649074 = V531344 - 1. assign V977458 = V498187 - 1. assign V965104 = V525794. assign V024651 = V134635 - 1. assign V993801 = V849635. assign V477290 = V635887 + 1. assign V158586 = V667403. assign V027564 = V566606 + 1. assign V998532 = V250700. assign V065696 = V514745 + 1. assign V068980 = V570991 - 1. assign V785328 = V062590 + 1. assign V536602 = V249061 - 1. assign V388161 = V406072 + 1. assign V373803 = V634079 - 1. assign V910363 = V965104. assign V658617 = V462670. assign V652823 = V566606. assign V498187 = V779938. assign V744577 = V203994 - 1. assign V138494 = V766824 - 1. assign V728892 = V498187 - 1. assign V381864 = V849635. assign V290214 = V566606 - 1. assign V633828 = V290214 + 1. assign V617353 = V157655 + 1. assign V239322 = V668503. assign V491165 = V066107 + 1. assign V148722 = V951891. assign V991686 = V228861 + 1. assign V273097 = V159565 + 1. assign V131638 = V958691. assign V077888 = V158586. assign V535969 = V652823 - 1. assign V316203 = V290214 + 1. assign V203994 = V062590 - 1. assign V129499 = V958691 - 1. assign V578531 = V951891. assign V440186 = V077888 - 1. assign V091304 = V131638 + 1. assign V239391 = V873701 - 1. assign V276695 = 7. assign V159565 = V667403 - 1. assign V336444 = V744577. assign V244827 = V134052 + 1. assign V404688 = V239322. assign V097901 = V534249 + 1. assign V722679 = V566606 + 1. assign V787721 = V540915. assign V613466 = V874835. assign V250700 = V239322 + 1. assign V251161 = V035710 + 1. assign V065908 = V668813 - 1. assign V188952 = V349975 - 1. assign V127944 = V951891 - 1. assign V711713 = V965104. assign V843979 = V063704. assign V752612 = V668503 + 1. assign V110430 = V250700 - 1. assign V042856 = V110430. assign V062590 = V416975 + 1. assign V740348 = V442802 + 1. assign V634079 = V738947 - 1. assign V904788 = V220339. assign V901893 = V273097 + 1. assign V025380 = V471822 + 1. assign V815161 = V534249. assign V393901 = V815161 + 1. assign V940561 = V097901 + 1. assign V512670 = V658617 - 1. assign V884318 = V728892 - 1. assign V687262 = V158586 + 1. assign V835925 = V973859. assign V837746 = V491165. assign V169265 = V466863 + 1. assign V324037 = V159565 + 1. assign V899014 = V722679. assign V705362 = V509122. assign V547647 = V611719 + 1. assign V843246 = V498187. assign V517050 = V097901 - 1. assign V501838 = V077888 + 1. assign V093665 = V566606 + 1. assign V738947 = V534249 + 1. assign V462670 = V738947 - 1. assign V957277 = V993801. assign V480437 = V169265 + 1. assign V471822 = V077888. assign V349975 = V158586 + 1. assign V253883 = V668813 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V069711 = V416975 + 1. assign V134635 = V134052. assign V973859 = V991686 - 1. assign V228861 = V406072 - 1. assign V703606 = V578531. assign V605466 = V668503. assign V461865 = V605466. assign V028001 = V228861 - 1. assign V256726 = V752612 - 1. assign V923659 = V065908 - 1. assign V531344 = V738947 - 1. assign V422092 = V442802 - 1. assign V958691 = V785328 - 1. assign V510319 = V062590. assign V882250 = V239322 + 1. assign V029945 = V652823 - 1. assign V197643 = V134052. assign V514745 = V065908. assign V592622 = V335269 - 1. assign V947748 = V388161 - 1. assign V066107 = V239322 - 1. assign V510903 = V249061. assign V566606 = V239322 + 1. assign V835330 = V510903 - 1. assign V375351 = V652823. assign V306514 = V536602. assign V971238 = V954887. assign V118063 = V873701 + 1. assign V134052 = V668503 - 1. assign V406072 = V525794 + 1. assign V508475 = V179780. assign V755267 = V025380. assign V717722 = V042856 - 1. assign V739094 = V652823 - 1. assign V095058 = V722679 - 1. assign V534249 = V785328 + 1. assign V249061 = V158586 - 1. assign V640720 = V578531 + 1. assign V668813 = V667403 + 1. assign V540915 = V566606. assign V779938 = V068980. assign V135665 = V536602. assign V497170 = V738947. assign V752405 = V066107 - 1. assign V179780 = V063704 - 1. assign V874835 = V873701. assign V849635 = V613466. assign V726567 = V815161 - 1. assign V416975 = V667403 - 1. assign V035710 = V129499 + 1. assign V667403 = V239322 + 1. assign V330263 = V744577 + 1. assign V635887 = V951891 - 1. assign V687059 = V480437. assign V780439 = V738947 + 1. assign V220339 = V536602 + 1. assign V466863 = V566606 + 1. assign V021641 = V335269 + 1. assign V713657 = V461865. assign V900582 = V276695 + 1. assign V335269 = V882250 - 1. assign V557046 = V197643 - 1. assign V880125 = V110430. assign V509122 = V557046 + 1. assign V766824 = V027564 + 1. assign V157655 = V613466 + 1. assign V407181 = V899014. assign V525794 = V668503 - 1. assign V680463 = V611719 - 1. assign V873701 = V068980 - 1. assign V951891 = V667403 + 1. assign V442802 = V965104 + 1. assign V063704 = V134052 - 1. assign V954887 = V093665. assign V396781 = V077888. assign V570991 = V668503 - 1. assign V791482 = V025380 + 1. assign V736248 = V244827. assign V797259 = V736248 + 1. assign V611719 = V250700 + 1. assign V757561 = V707248 - 1. assign V707248 = V752405 + 1. assign V649074 = V531344 - 1. assign V977458 = V498187 - 1. assign V965104 = V525794. assign V024651 = V134635 - 1. assign V993801 = V849635. assign V477290 = V635887 + 1. assign V158586 = V667403. assign V027564 = V566606 + 1. assign V998532 = V250700. assign V065696 = V514745 + 1. assign V068980 = V570991 - 1. assign V785328 = V062590 + 1. assign V536602 = V249061 - 1. assign V388161 = V406072 + 1. assign V373803 = V634079 - 1. assign V910363 = V965104. assign V658617 = V462670. assign V652823 = V566606. assign V498187 = V779938. assign V744577 = V203994 - 1. assign V138494 = V766824 - 1. assign V728892 = V498187 - 1. assign V381864 = V849635. assign V290214 = V566606 - 1. assign V633828 = V290214 + 1. assign V617353 = V157655 + 1. assign V239322 = V668503. assign V491165 = V066107 + 1. assign V148722 = V951891. assign V991686 = V228861 + 1. assign V273097 = V159565 + 1. assign V131638 = V958691. assign V077888 = V158586. assign V535969 = V652823 - 1. assign V316203 = V290214 + 1. assign V203994 = V062590 - 1. assign V129499 = V958691 - 1. assign V578531 = V951891. assign V440186 = V077888 - 1. assign V091304 = V131638 + 1. assign V239391 = V873701 - 1. assign V276695 = 7. assign V159565 = V667403 - 1. assign V336444 = V744577. assign V244827 = V134052 + 1. assign V404688 = V239322. assign V097901 = V534249 + 1. assign V722679 = V566606 + 1. assign V787721 = V540915. assign V613466 = V874835. assign V250700 = V239322 + 1. assign V251161 = V035710 + 1. assign V065908 = V668813 - 1. assign V188952 = V349975 - 1. assign V127944 = V951891 - 1. assign V711713 = V965104. assign V843979 = V063704. assign V752612 = V668503 + 1. assign V110430 = V250700 - 1. assign V042856 = V110430. assign V062590 = V416975 + 1. assign V740348 = V442802 + 1. assign V634079 = V738947 - 1. assign V904788 = V220339. assign V901893 = V273097 + 1. assign V025380 = V471822 + 1. assign V815161 = V534249. assign V393901 = V815161 + 1. assign V940561 = V097901 + 1. assign V512670 = V658617 - 1. assign V884318 = V728892 - 1. assign V687262 = V158586 + 1. assign V835925 = V973859. assign V837746 = V491165. assign V169265 = V466863 + 1. assign V324037 = V159565 + 1. assign V899014 = V722679. assign V705362 = V509122. assign V547647 = V611719 + 1. assign V843246 = V498187. assign V517050 = V097901 - 1. assign V501838 = V077888 + 1. assign V093665 = V566606 + 1. assign V738947 = V534249 + 1. assign V462670 = V738947 - 1. assign V957277 = V993801. assign V480437 = V169265 + 1. assign V471822 = V077888. assign V349975 = V158586 + 1. assign V253883 = V668813 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV276695 = 7;\n\nFrom these direct assignment(s), we have: \nV900582 = V276695 + 1 = 7 + 1 =8;\nNo other variables can be derived from V900582;\nNo other variables can be derived from V276695;\n\nNow we have done all the calculations. Derived variables are:\nV276695 = 7;\nV900582 = 8;\n\nNow we have finished this problem. ANSWER:\nV276695\n", "role": "assistant" } ]

[ "V185185" ]

[ { "content": "<context>\nassign V487645 = V133230 - 1. assign V362760 = V809511 + 1. assign V100255 = V518266 - 1. assign V898211 = V031893 + 1. assign V590844 = V932714 - 1. assign V894012 = V606200 + 1. assign V086567 = V336695 + 1. assign V316280 = V552952. assign V845786 = V316280. assign V868358 = V087156. assign V087156 = V900761 - 1. assign V606659 = V929633 + 1. assign V820121 = V868358. assign V452735 = V675643 - 1. assign V682803 = V932714 + 1. assign V578949 = V243714. assign V223813 = V243714. assign V214100 = V578949 + 1. assign V229693 = V538073 - 1. assign V351275 = V929633 + 1. assign V610427 = V932714 - 1. assign V460441 = V551838. assign V865888 = V703887 + 1. assign V657108 = V100255 - 1. assign V353836 = V755719 - 1. assign V910309 = V254768 - 1. assign V611914 = V093721 + 1. assign V182051 = V703887. assign V551838 = V929633 - 1. assign V721879 = V578949. assign V941685 = V868358. assign V464096 = V086600 + 1. assign V685262 = V900761 - 1. assign V336535 = V467897 - 1. assign V253729 = V721879 + 1. assign V038321 = V723635 + 1. assign V665699 = V601004 + 1. assign V467897 = V099577. assign V714877 = V413894 - 1. assign V677033 = V611914 + 1. assign V535528 = V141284 - 1. assign V041328 = V467897. assign V753884 = V041328. assign V822169 = V578949 + 1. assign V730525 = V518266 + 1. assign V741549 = V672932 + 1. assign V974970 = V601004 + 1. assign V756615 = V538073 - 1. assign V012277 = V538073 + 1. assign V724437 = V741549. assign V809511 = V675643 - 1. assign V634790 = V723635 - 1. assign V778987 = V062470 - 1. assign V723635 = V163474 + 1. assign V865748 = V171275. assign V975584 = V544157 - 1. assign V151718 = V551838 - 1. assign V063931 = V551838 - 1. assign V104708 = V979117. assign V606200 = V413894. assign V360872 = V894012 - 1. assign V263580 = V747048 + 1. assign V708189 = V556005 - 1. assign V544157 = V223813 - 1. assign V081842 = V223813 - 1. assign V372029 = V532789. assign V747048 = V056848. assign V956443 = V463480. assign V141284 = V723368. assign V093721 = V223813 + 1. assign V179813 = V601004 - 1. assign V042053 = V407133 + 1. assign V355114 = V736544. assign V260537 = V407996 + 1. assign V727607 = V809511. assign V532789 = V673057 - 1. assign V044566 = V362760 - 1. assign V452617 = V703887. assign V501755 = V362760. assign V761171 = V571718 - 1. assign V185185 = 7. assign V289808 = V723368 + 1. assign V254768 = V086600 - 1. assign V581704 = V571718. assign V379130 = V163474 - 1. assign V603238 = V184957 - 1. assign V009489 = V685262 + 1. assign V462658 = V336695. assign V101112 = V739285. assign V171275 = V093721 + 1. assign V742823 = V151718. assign V843959 = V151718 - 1. assign V694977 = V721879 - 1. assign V537022 = V900761 + 1. assign V909547 = V171275 + 1. assign V538073 = V675643 + 1. assign V136500 = V289808 - 1. assign V601004 = V151718 + 1. assign V739285 = V336535 + 1. assign V031893 = V730525. assign V691088 = V723368. assign V476542 = V741549. assign V099577 = V407996. assign V812504 = V920390 - 1. assign V556005 = V600153 - 1. assign V476083 = V723635. assign V920390 = V171275. assign V379306 = V243714 + 1. assign V714211 = V012277. assign V672932 = V171275 - 1. assign V482523 = V226739 + 1. assign V143680 = V184957 - 1. assign V571718 = V675643 + 1. assign V952539 = V723368. assign V854638 = V739285 + 1. assign V123112 = V900761 - 1. assign V253509 = V956443 + 1. assign V486860 = V171275 + 1. assign V413894 = V379306. assign V736544 = V486860 - 1. assign V989465 = V407996 - 1. assign V518266 = V226739 + 1. assign V056848 = V950149 - 1. assign V712242 = V868358 - 1. assign V709668 = V714877 + 1. assign V718913 = V326724. assign V765002 = V185185 - 1. assign V673057 = V909547. assign V184957 = V171275 + 1. assign V794911 = V407996 - 1. assign V788072 = V407996. assign V296993 = V932714 - 1. assign V163474 = V289808. assign V141192 = V590844 + 1. assign V458088 = V214100 - 1. assign V858472 = V606659. assign V133230 = V600153 + 1. assign V463480 = V143680 + 1. assign V407996 = V223813 + 1. assign V703887 = V730525 - 1. assign V142031 = V379130 + 1. assign V701180 = V407133. assign V682387 = V462658. assign V723368 = V571718. assign V755719 = V544157 + 1. assign V226739 = V950149 + 1. assign V336695 = V603238. assign V600153 = V486860. assign V222776 = V041328 + 1. assign V932714 = V086600 - 1. assign V950149 = V243714. assign V814642 = V673057 + 1. assign V552952 = V056848. assign V243714 = V809511 - 1. assign V658233 = V143680 - 1. assign V894780 = V672932. assign V745694 = V031893 - 1. assign V989193 = V222776. assign V326724 = V460441 + 1. assign V407133 = V093721. assign V979117 = V606200. assign V929633 = V571718 - 1. assign V029668 = V031893. assign V900761 = V950149. assign V086600 = V379306. assign V924793 = V601004 - 1. assign V310699 = V675643. assign V062470 = V578949 + 1. assign V041883 = V031893. assign V809253 = V464096 - 1. assign V791976 = V226739 - 1. assign V138810 = V501755 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V487645 = V133230 - 1. assign V362760 = V809511 + 1. assign V100255 = V518266 - 1. assign V898211 = V031893 + 1. assign V590844 = V932714 - 1. assign V894012 = V606200 + 1. assign V086567 = V336695 + 1. assign V316280 = V552952. assign V845786 = V316280. assign V868358 = V087156. assign V087156 = V900761 - 1. assign V606659 = V929633 + 1. assign V820121 = V868358. assign V452735 = V675643 - 1. assign V682803 = V932714 + 1. assign V578949 = V243714. assign V223813 = V243714. assign V214100 = V578949 + 1. assign V229693 = V538073 - 1. assign V351275 = V929633 + 1. assign V610427 = V932714 - 1. assign V460441 = V551838. assign V865888 = V703887 + 1. assign V657108 = V100255 - 1. assign V353836 = V755719 - 1. assign V910309 = V254768 - 1. assign V611914 = V093721 + 1. assign V182051 = V703887. assign V551838 = V929633 - 1. assign V721879 = V578949. assign V941685 = V868358. assign V464096 = V086600 + 1. assign V685262 = V900761 - 1. assign V336535 = V467897 - 1. assign V253729 = V721879 + 1. assign V038321 = V723635 + 1. assign V665699 = V601004 + 1. assign V467897 = V099577. assign V714877 = V413894 - 1. assign V677033 = V611914 + 1. assign V535528 = V141284 - 1. assign V041328 = V467897. assign V753884 = V041328. assign V822169 = V578949 + 1. assign V730525 = V518266 + 1. assign V741549 = V672932 + 1. assign V974970 = V601004 + 1. assign V756615 = V538073 - 1. assign V012277 = V538073 + 1. assign V724437 = V741549. assign V809511 = V675643 - 1. assign V634790 = V723635 - 1. assign V778987 = V062470 - 1. assign V723635 = V163474 + 1. assign V865748 = V171275. assign V975584 = V544157 - 1. assign V151718 = V551838 - 1. assign V063931 = V551838 - 1. assign V104708 = V979117. assign V606200 = V413894. assign V360872 = V894012 - 1. assign V263580 = V747048 + 1. assign V708189 = V556005 - 1. assign V544157 = V223813 - 1. assign V081842 = V223813 - 1. assign V372029 = V532789. assign V747048 = V056848. assign V956443 = V463480. assign V141284 = V723368. assign V093721 = V223813 + 1. assign V179813 = V601004 - 1. assign V042053 = V407133 + 1. assign V355114 = V736544. assign V260537 = V407996 + 1. assign V727607 = V809511. assign V532789 = V673057 - 1. assign V044566 = V362760 - 1. assign V452617 = V703887. assign V501755 = V362760. assign V761171 = V571718 - 1. assign V185185 = 7. assign V289808 = V723368 + 1. assign V254768 = V086600 - 1. assign V581704 = V571718. assign V379130 = V163474 - 1. assign V603238 = V184957 - 1. assign V009489 = V685262 + 1. assign V462658 = V336695. assign V101112 = V739285. assign V171275 = V093721 + 1. assign V742823 = V151718. assign V843959 = V151718 - 1. assign V694977 = V721879 - 1. assign V537022 = V900761 + 1. assign V909547 = V171275 + 1. assign V538073 = V675643 + 1. assign V136500 = V289808 - 1. assign V601004 = V151718 + 1. assign V739285 = V336535 + 1. assign V031893 = V730525. assign V691088 = V723368. assign V476542 = V741549. assign V099577 = V407996. assign V812504 = V920390 - 1. assign V556005 = V600153 - 1. assign V476083 = V723635. assign V920390 = V171275. assign V379306 = V243714 + 1. assign V714211 = V012277. assign V672932 = V171275 - 1. assign V482523 = V226739 + 1. assign V143680 = V184957 - 1. assign V571718 = V675643 + 1. assign V952539 = V723368. assign V854638 = V739285 + 1. assign V123112 = V900761 - 1. assign V253509 = V956443 + 1. assign V486860 = V171275 + 1. assign V413894 = V379306. assign V736544 = V486860 - 1. assign V989465 = V407996 - 1. assign V518266 = V226739 + 1. assign V056848 = V950149 - 1. assign V712242 = V868358 - 1. assign V709668 = V714877 + 1. assign V718913 = V326724. assign V765002 = V185185 - 1. assign V673057 = V909547. assign V184957 = V171275 + 1. assign V794911 = V407996 - 1. assign V788072 = V407996. assign V296993 = V932714 - 1. assign V163474 = V289808. assign V141192 = V590844 + 1. assign V458088 = V214100 - 1. assign V858472 = V606659. assign V133230 = V600153 + 1. assign V463480 = V143680 + 1. assign V407996 = V223813 + 1. assign V703887 = V730525 - 1. assign V142031 = V379130 + 1. assign V701180 = V407133. assign V682387 = V462658. assign V723368 = V571718. assign V755719 = V544157 + 1. assign V226739 = V950149 + 1. assign V336695 = V603238. assign V600153 = V486860. assign V222776 = V041328 + 1. assign V932714 = V086600 - 1. assign V950149 = V243714. assign V814642 = V673057 + 1. assign V552952 = V056848. assign V243714 = V809511 - 1. assign V658233 = V143680 - 1. assign V894780 = V672932. assign V745694 = V031893 - 1. assign V989193 = V222776. assign V326724 = V460441 + 1. assign V407133 = V093721. assign V979117 = V606200. assign V929633 = V571718 - 1. assign V029668 = V031893. assign V900761 = V950149. assign V086600 = V379306. assign V924793 = V601004 - 1. assign V310699 = V675643. assign V062470 = V578949 + 1. assign V041883 = V031893. assign V809253 = V464096 - 1. assign V791976 = V226739 - 1. assign V138810 = V501755 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV185185 = 7;\n\nFrom these direct assignment(s), we have: \nV765002 = V185185 - 1 = 7 - 1 =6;\nNo other variables can be derived from V765002;\nNo other variables can be derived from V185185;\n\nNow we have done all the calculations. Derived variables are:\nV185185 = 7;\nV765002 = 6;\n\nNow we have finished this problem. ANSWER:\nV185185\n", "role": "assistant" } ]

[ "V500874" ]

[ { "content": "<context>\nassign V636801 = V724463 - 1. assign V363386 = V881323 + 1. assign V160173 = V685950 + 1. assign V544103 = V666615. assign V963617 = V212917 - 1. assign V060926 = V037870 + 1. assign V464280 = V160307 - 1. assign V520543 = V484924. assign V826830 = V481843 + 1. assign V730252 = V037870 + 1. assign V118653 = V441259. assign V188479 = V635341. assign V013085 = V907594. assign V487573 = V454518 + 1. assign V047882 = V212917. assign V390995 = V212917 + 1. assign V263448 = V509311 + 1. assign V033248 = V259760 - 1. assign V528806 = V272396 + 1. assign V881634 = V893258 - 1. assign V212917 = V364709 - 1. assign V243654 = V665159 - 1. assign V737188 = V163430 + 1. assign V514619 = V730754 - 1. assign V981895 = V481843. assign V605809 = V666615 - 1. assign V492389 = V130145 - 1. assign V665630 = V307510 + 1. assign V666615 = V432095 - 1. assign V208923 = V384965 - 1. assign V765459 = V364709 + 1. assign V605301 = V160173 - 1. assign V233315 = V735037. assign V553391 = V685950 - 1. assign V168354 = V605301. assign V082915 = V199327 + 1. assign V461718 = V762367 + 1. assign V160307 = V730754 - 1. assign V501560 = V144061 - 1. assign V766109 = V492389. assign V962381 = V047882 + 1. assign V309598 = V967700 - 1. assign V007357 = V888766 + 1. assign V040625 = V163430 + 1. assign V260642 = V082915. assign V305714 = V951713 - 1. assign V967700 = V160173 + 1. assign V132464 = V252383 - 1. assign V244698 = V190968. assign V441259 = V437142 + 1. assign V437142 = V481843. assign V528154 = V873459 - 1. assign V979460 = V272396 - 1. assign V130145 = V893258. assign V037523 = V371936 - 1. assign V262556 = V881323 + 1. assign V225829 = V272396. assign V645261 = V836284 - 1. assign V712576 = V826830 - 1. assign V712882 = V665630 + 1. assign V484924 = V749921. assign V203403 = V275882 - 1. assign V371936 = V893258 - 1. assign V893258 = V873459 - 1. assign V095731 = V881323 - 1. assign V275882 = V371936 - 1. assign V373166 = V873459 - 1. assign V730754 = V437142. assign V756730 = V242981 - 1. assign V559383 = V756730 + 1. assign V006792 = V059337 + 1. assign V384965 = V437142. assign V277304 = V605301 - 1. assign V895122 = V685950 - 1. assign V252383 = V305714 + 1. assign V635341 = V007052. assign V097881 = V967700. assign V588953 = V481843 + 1. assign V796242 = V242981. assign V762367 = V675143 - 1. assign V928840 = V242981 - 1. assign V451097 = V432095 + 1. assign V149398 = V375047 + 1. assign V114002 = V826830 + 1. assign V735037 = V873459 - 1. assign V504508 = V481843. assign V007052 = V237779 + 1. assign V059337 = V307510 - 1. assign V259760 = V323367 + 1. assign V035790 = V873459 - 1. assign V901890 = V749921 - 1. assign V272091 = V130145. assign V665159 = V225829 - 1. assign V853208 = V880327 + 1. assign V199327 = V967700 - 1. assign V880327 = V838903 + 1. assign V273561 = V272396 + 1. assign V649034 = V371936 - 1. assign V242981 = V130145 + 1. assign V981047 = V432095 + 1. assign V520590 = V160307 - 1. assign V272396 = V371936 - 1. assign V627980 = V225829 - 1. assign V375047 = V605301 - 1. assign V066757 = V437142 + 1. assign V285393 = V501560. assign V364709 = V059337 + 1. assign V778385 = V888766 - 1. assign V713516 = V893258 - 1. assign V805774 = V006792. assign V888766 = V481843 - 1. assign V509311 = V323367. assign V857545 = V619653. assign V916942 = V925949. assign V265800 = V766109 - 1. assign V263603 = V237779 - 1. assign V249671 = V588953. assign V469968 = V199327 - 1. assign V831157 = V469968 - 1. assign V190968 = V171296 + 1. assign V951713 = V873459 - 1. assign V500874 = V073113 - 1. assign V836284 = V481843 + 1. assign V881323 = V635341. assign V907594 = V528806 - 1. assign V535776 = V514619 + 1. assign V010681 = V563473. assign V749921 = V322539 + 1. assign V796659 = V097881 + 1. assign V873459 = V675143 + 1. assign V344443 = V451097 - 1. assign V576196 = V059337. assign V037870 = V735037. assign V213973 = V881634 - 1. assign V104648 = V272396 + 1. assign V601285 = V144061 + 1. assign V237779 = V208923. assign V121012 = V951713. assign V661866 = V384965 + 1. assign V884657 = V437142 + 1. assign V307510 = V826830. assign V073113 = 10. assign V354436 = V893258 - 1. assign V322539 = V951713 + 1. assign V398683 = V344443. assign V257708 = V208923 - 1. assign V447069 = V171296. assign V128162 = V373166. assign V432095 = V130145. assign V610768 = V528806 - 1. assign V675143 = V481843 + 1. assign V724463 = V881634 - 1. assign V454518 = V013085 + 1. assign V619653 = V907594. assign V925949 = V037870 - 1. assign V410933 = V766109 - 1. assign V163430 = V114002. assign V697524 = V285393 - 1. assign V144061 = V895122. assign V778121 = V233315 - 1. assign V836066 = V735037 + 1. assign V888054 = V272396. assign V767066 = V951713 - 1. assign V712243 = V252383 - 1. assign V685950 = V481843 - 1. assign V171296 = V160173 + 1. assign V563473 = V767066 - 1. assign V820123 = V893258 - 1. assign V323367 = V893258. assign V232761 = V893258 - 1. assign V663789 = V447069 + 1. assign V838903 = V888766 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V636801 = V724463 - 1. assign V363386 = V881323 + 1. assign V160173 = V685950 + 1. assign V544103 = V666615. assign V963617 = V212917 - 1. assign V060926 = V037870 + 1. assign V464280 = V160307 - 1. assign V520543 = V484924. assign V826830 = V481843 + 1. assign V730252 = V037870 + 1. assign V118653 = V441259. assign V188479 = V635341. assign V013085 = V907594. assign V487573 = V454518 + 1. assign V047882 = V212917. assign V390995 = V212917 + 1. assign V263448 = V509311 + 1. assign V033248 = V259760 - 1. assign V528806 = V272396 + 1. assign V881634 = V893258 - 1. assign V212917 = V364709 - 1. assign V243654 = V665159 - 1. assign V737188 = V163430 + 1. assign V514619 = V730754 - 1. assign V981895 = V481843. assign V605809 = V666615 - 1. assign V492389 = V130145 - 1. assign V665630 = V307510 + 1. assign V666615 = V432095 - 1. assign V208923 = V384965 - 1. assign V765459 = V364709 + 1. assign V605301 = V160173 - 1. assign V233315 = V735037. assign V553391 = V685950 - 1. assign V168354 = V605301. assign V082915 = V199327 + 1. assign V461718 = V762367 + 1. assign V160307 = V730754 - 1. assign V501560 = V144061 - 1. assign V766109 = V492389. assign V962381 = V047882 + 1. assign V309598 = V967700 - 1. assign V007357 = V888766 + 1. assign V040625 = V163430 + 1. assign V260642 = V082915. assign V305714 = V951713 - 1. assign V967700 = V160173 + 1. assign V132464 = V252383 - 1. assign V244698 = V190968. assign V441259 = V437142 + 1. assign V437142 = V481843. assign V528154 = V873459 - 1. assign V979460 = V272396 - 1. assign V130145 = V893258. assign V037523 = V371936 - 1. assign V262556 = V881323 + 1. assign V225829 = V272396. assign V645261 = V836284 - 1. assign V712576 = V826830 - 1. assign V712882 = V665630 + 1. assign V484924 = V749921. assign V203403 = V275882 - 1. assign V371936 = V893258 - 1. assign V893258 = V873459 - 1. assign V095731 = V881323 - 1. assign V275882 = V371936 - 1. assign V373166 = V873459 - 1. assign V730754 = V437142. assign V756730 = V242981 - 1. assign V559383 = V756730 + 1. assign V006792 = V059337 + 1. assign V384965 = V437142. assign V277304 = V605301 - 1. assign V895122 = V685950 - 1. assign V252383 = V305714 + 1. assign V635341 = V007052. assign V097881 = V967700. assign V588953 = V481843 + 1. assign V796242 = V242981. assign V762367 = V675143 - 1. assign V928840 = V242981 - 1. assign V451097 = V432095 + 1. assign V149398 = V375047 + 1. assign V114002 = V826830 + 1. assign V735037 = V873459 - 1. assign V504508 = V481843. assign V007052 = V237779 + 1. assign V059337 = V307510 - 1. assign V259760 = V323367 + 1. assign V035790 = V873459 - 1. assign V901890 = V749921 - 1. assign V272091 = V130145. assign V665159 = V225829 - 1. assign V853208 = V880327 + 1. assign V199327 = V967700 - 1. assign V880327 = V838903 + 1. assign V273561 = V272396 + 1. assign V649034 = V371936 - 1. assign V242981 = V130145 + 1. assign V981047 = V432095 + 1. assign V520590 = V160307 - 1. assign V272396 = V371936 - 1. assign V627980 = V225829 - 1. assign V375047 = V605301 - 1. assign V066757 = V437142 + 1. assign V285393 = V501560. assign V364709 = V059337 + 1. assign V778385 = V888766 - 1. assign V713516 = V893258 - 1. assign V805774 = V006792. assign V888766 = V481843 - 1. assign V509311 = V323367. assign V857545 = V619653. assign V916942 = V925949. assign V265800 = V766109 - 1. assign V263603 = V237779 - 1. assign V249671 = V588953. assign V469968 = V199327 - 1. assign V831157 = V469968 - 1. assign V190968 = V171296 + 1. assign V951713 = V873459 - 1. assign V500874 = V073113 - 1. assign V836284 = V481843 + 1. assign V881323 = V635341. assign V907594 = V528806 - 1. assign V535776 = V514619 + 1. assign V010681 = V563473. assign V749921 = V322539 + 1. assign V796659 = V097881 + 1. assign V873459 = V675143 + 1. assign V344443 = V451097 - 1. assign V576196 = V059337. assign V037870 = V735037. assign V213973 = V881634 - 1. assign V104648 = V272396 + 1. assign V601285 = V144061 + 1. assign V237779 = V208923. assign V121012 = V951713. assign V661866 = V384965 + 1. assign V884657 = V437142 + 1. assign V307510 = V826830. assign V073113 = 10. assign V354436 = V893258 - 1. assign V322539 = V951713 + 1. assign V398683 = V344443. assign V257708 = V208923 - 1. assign V447069 = V171296. assign V128162 = V373166. assign V432095 = V130145. assign V610768 = V528806 - 1. assign V675143 = V481843 + 1. assign V724463 = V881634 - 1. assign V454518 = V013085 + 1. assign V619653 = V907594. assign V925949 = V037870 - 1. assign V410933 = V766109 - 1. assign V163430 = V114002. assign V697524 = V285393 - 1. assign V144061 = V895122. assign V778121 = V233315 - 1. assign V836066 = V735037 + 1. assign V888054 = V272396. assign V767066 = V951713 - 1. assign V712243 = V252383 - 1. assign V685950 = V481843 - 1. assign V171296 = V160173 + 1. assign V563473 = V767066 - 1. assign V820123 = V893258 - 1. assign V323367 = V893258. assign V232761 = V893258 - 1. assign V663789 = V447069 + 1. assign V838903 = V888766 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV073113 = 10;\n\nFrom these direct assignment(s), we have: \nV500874 = V073113 - 1 = 10 - 1 =9;\nNo other variables can be derived from V500874;\nNo other variables can be derived from V073113;\n\nNow we have done all the calculations. Derived variables are:\nV073113 = 10;\nV500874 = 9;\n\nNow we have finished this problem. ANSWER:\nV500874\n", "role": "assistant" } ]

[ "V614398" ]

[ { "content": "<context>\nassign V062882 = V858129 + 1. assign V678415 = V300896 - 1. assign V248474 = V030296 - 1. assign V027441 = V712064 - 1. assign V897334 = V344156. assign V396140 = V133567. assign V698099 = V806201 + 1. assign V845986 = V344156 + 1. assign V213670 = V762736 + 1. assign V400380 = V015621. assign V720444 = V502236 - 1. assign V469703 = V170264 - 1. assign V838181 = V884876 - 1. assign V952535 = V754911. assign V549686 = V754911. assign V276207 = V740490 - 1. assign V967429 = V580456 + 1. assign V939787 = V864771. assign V076198 = V620409. assign V809181 = V349355 + 1. assign V792623 = V296830. assign V416176 = V199396. assign V909019 = V396528. assign V492222 = V279436 + 1. assign V669147 = V349355 + 1. assign V502215 = V549686 + 1. assign V929395 = V827463 + 1. assign V261352 = V805126 - 1. assign V478157 = V289126 - 1. assign V295427 = V806201. assign V489700 = V663882 + 1. assign V884876 = V580456. assign V296830 = V809181. assign V088204 = V021894 + 1. assign V805126 = V102686. assign V975504 = V967429 - 1. assign V886783 = V342948 - 1. assign V577533 = V456625 - 1. assign V715401 = V286670. assign V886789 = V213670 + 1. assign V776620 = V721199. assign V161478 = V228701 - 1. assign V483978 = V777279. assign V255057 = V376878. assign V813565 = V076198 - 1. assign V611311 = V502215. assign V360243 = V213670. assign V319784 = V762736 - 1. assign V858129 = V259598 - 1. assign V614398 = 6. assign V152576 = V799880 + 1. assign V777279 = V259598. assign V280519 = V776620 + 1. assign V051297 = V809181 - 1. assign V342948 = V158720. assign V158720 = V754911. assign V233229 = V754911 + 1. assign V398906 = V342033. assign V021894 = V926846. assign V144043 = V614398 + 1. assign V300896 = V088204. assign V229225 = V777279. assign V502236 = V344156 - 1. assign V799880 = V720444 + 1. assign V506321 = V764659. assign V499756 = V667672 + 1. assign V140198 = V564955. assign V828226 = V809181 - 1. assign V077723 = V777279. assign V580456 = V620409. assign V620409 = V864771 - 1. assign V173114 = V777279 + 1. assign V089475 = V340761. assign V998404 = V342948 + 1. assign V564955 = V611311. assign V768176 = V400380. assign V015621 = V864771. assign V827463 = V809181 + 1. assign V393583 = V777279 - 1. assign V781538 = V806201. assign V228701 = V620409 - 1. assign V308639 = V126819 - 1. assign V094419 = V400380 + 1. assign V403356 = V620409 - 1. assign V376878 = V777279 - 1. assign V335644 = V502215. assign V501267 = V375544. assign V564359 = V799880. assign V113776 = V692570 + 1. assign V574574 = V762736. assign V926846 = V259598. assign V635340 = V300896 - 1. assign V803582 = V233229. assign V472437 = V093288 + 1. assign V795149 = V692570 - 1. assign V425617 = V073055 + 1. assign V906681 = V768176. assign V133567 = V806201 - 1. assign V168124 = V998404 + 1. assign V289126 = V015621. assign V607536 = V279436 + 1. assign V340761 = V692570. assign V978683 = V502236. assign V279436 = V077723 - 1. assign V469823 = V809181 - 1. assign V480658 = V022937 + 1. assign V456625 = V762736 - 1. assign V846290 = V021894 - 1. assign V170864 = V349355. assign V375544 = V342948. assign V540231 = V360243. assign V721199 = V858129. assign V494706 = V088204 - 1. assign V170264 = V884876 - 1. assign V073055 = V344156. assign V730339 = V549686. assign V017540 = V077723. assign V093288 = V884876. assign V663882 = V897334 + 1. assign V134215 = V102686 + 1. assign V103537 = V620409 - 1. assign V667672 = V425617 - 1. assign V867166 = V319784 + 1. assign V396528 = V229225. assign V201096 = V088204 - 1. assign V864771 = V777279 + 1. assign V505994 = V213670 + 1. assign V938791 = V093288 - 1. assign V629885 = V379401 + 1. assign V348723 = V678415 - 1. assign V907780 = V611311. assign V712064 = V663882. assign V960605 = V213670. assign V737253 = V170864. assign V199396 = V721199. assign V861594 = V501267 + 1. assign V637089 = V777279. assign V754911 = V762736. assign V660578 = V233229 + 1. assign V126819 = V102686 + 1. assign V522839 = V620409 - 1. assign V762736 = V259598 + 1. assign V764659 = V349355. assign V466555 = V221398. assign V379401 = V580456 + 1. assign V580182 = V295427 + 1. assign V692570 = V897334 + 1. assign V779729 = V781538 - 1. assign V196006 = V926846 - 1. assign V102686 = V768176. assign V596011 = V158720. assign V598628 = V792623 - 1. assign V462971 = V777279. assign V394249 = V858129. assign V280704 = V376878. assign V787166 = V483978 - 1. assign V902192 = V088204 + 1. assign V572613 = V394249. assign V441488 = V342033 + 1. assign V221398 = V861594 - 1. assign V199612 = V967429 + 1. assign V806201 = V170864 - 1. assign V342033 = V259598. assign V030296 = V492222 + 1. assign V022937 = V926846 - 1. assign V344156 = V549686. assign V286670 = V864771 + 1. assign V910805 = V740490. assign V224552 = V502215 + 1. assign V740490 = V213670. assign V349355 = V754911 - 1. assign V054757 = V897334 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V062882 = V858129 + 1. assign V678415 = V300896 - 1. assign V248474 = V030296 - 1. assign V027441 = V712064 - 1. assign V897334 = V344156. assign V396140 = V133567. assign V698099 = V806201 + 1. assign V845986 = V344156 + 1. assign V213670 = V762736 + 1. assign V400380 = V015621. assign V720444 = V502236 - 1. assign V469703 = V170264 - 1. assign V838181 = V884876 - 1. assign V952535 = V754911. assign V549686 = V754911. assign V276207 = V740490 - 1. assign V967429 = V580456 + 1. assign V939787 = V864771. assign V076198 = V620409. assign V809181 = V349355 + 1. assign V792623 = V296830. assign V416176 = V199396. assign V909019 = V396528. assign V492222 = V279436 + 1. assign V669147 = V349355 + 1. assign V502215 = V549686 + 1. assign V929395 = V827463 + 1. assign V261352 = V805126 - 1. assign V478157 = V289126 - 1. assign V295427 = V806201. assign V489700 = V663882 + 1. assign V884876 = V580456. assign V296830 = V809181. assign V088204 = V021894 + 1. assign V805126 = V102686. assign V975504 = V967429 - 1. assign V886783 = V342948 - 1. assign V577533 = V456625 - 1. assign V715401 = V286670. assign V886789 = V213670 + 1. assign V776620 = V721199. assign V161478 = V228701 - 1. assign V483978 = V777279. assign V255057 = V376878. assign V813565 = V076198 - 1. assign V611311 = V502215. assign V360243 = V213670. assign V319784 = V762736 - 1. assign V858129 = V259598 - 1. assign V614398 = 6. assign V152576 = V799880 + 1. assign V777279 = V259598. assign V280519 = V776620 + 1. assign V051297 = V809181 - 1. assign V342948 = V158720. assign V158720 = V754911. assign V233229 = V754911 + 1. assign V398906 = V342033. assign V021894 = V926846. assign V144043 = V614398 + 1. assign V300896 = V088204. assign V229225 = V777279. assign V502236 = V344156 - 1. assign V799880 = V720444 + 1. assign V506321 = V764659. assign V499756 = V667672 + 1. assign V140198 = V564955. assign V828226 = V809181 - 1. assign V077723 = V777279. assign V580456 = V620409. assign V620409 = V864771 - 1. assign V173114 = V777279 + 1. assign V089475 = V340761. assign V998404 = V342948 + 1. assign V564955 = V611311. assign V768176 = V400380. assign V015621 = V864771. assign V827463 = V809181 + 1. assign V393583 = V777279 - 1. assign V781538 = V806201. assign V228701 = V620409 - 1. assign V308639 = V126819 - 1. assign V094419 = V400380 + 1. assign V403356 = V620409 - 1. assign V376878 = V777279 - 1. assign V335644 = V502215. assign V501267 = V375544. assign V564359 = V799880. assign V113776 = V692570 + 1. assign V574574 = V762736. assign V926846 = V259598. assign V635340 = V300896 - 1. assign V803582 = V233229. assign V472437 = V093288 + 1. assign V795149 = V692570 - 1. assign V425617 = V073055 + 1. assign V906681 = V768176. assign V133567 = V806201 - 1. assign V168124 = V998404 + 1. assign V289126 = V015621. assign V607536 = V279436 + 1. assign V340761 = V692570. assign V978683 = V502236. assign V279436 = V077723 - 1. assign V469823 = V809181 - 1. assign V480658 = V022937 + 1. assign V456625 = V762736 - 1. assign V846290 = V021894 - 1. assign V170864 = V349355. assign V375544 = V342948. assign V540231 = V360243. assign V721199 = V858129. assign V494706 = V088204 - 1. assign V170264 = V884876 - 1. assign V073055 = V344156. assign V730339 = V549686. assign V017540 = V077723. assign V093288 = V884876. assign V663882 = V897334 + 1. assign V134215 = V102686 + 1. assign V103537 = V620409 - 1. assign V667672 = V425617 - 1. assign V867166 = V319784 + 1. assign V396528 = V229225. assign V201096 = V088204 - 1. assign V864771 = V777279 + 1. assign V505994 = V213670 + 1. assign V938791 = V093288 - 1. assign V629885 = V379401 + 1. assign V348723 = V678415 - 1. assign V907780 = V611311. assign V712064 = V663882. assign V960605 = V213670. assign V737253 = V170864. assign V199396 = V721199. assign V861594 = V501267 + 1. assign V637089 = V777279. assign V754911 = V762736. assign V660578 = V233229 + 1. assign V126819 = V102686 + 1. assign V522839 = V620409 - 1. assign V762736 = V259598 + 1. assign V764659 = V349355. assign V466555 = V221398. assign V379401 = V580456 + 1. assign V580182 = V295427 + 1. assign V692570 = V897334 + 1. assign V779729 = V781538 - 1. assign V196006 = V926846 - 1. assign V102686 = V768176. assign V596011 = V158720. assign V598628 = V792623 - 1. assign V462971 = V777279. assign V394249 = V858129. assign V280704 = V376878. assign V787166 = V483978 - 1. assign V902192 = V088204 + 1. assign V572613 = V394249. assign V441488 = V342033 + 1. assign V221398 = V861594 - 1. assign V199612 = V967429 + 1. assign V806201 = V170864 - 1. assign V342033 = V259598. assign V030296 = V492222 + 1. assign V022937 = V926846 - 1. assign V344156 = V549686. assign V286670 = V864771 + 1. assign V910805 = V740490. assign V224552 = V502215 + 1. assign V740490 = V213670. assign V349355 = V754911 - 1. assign V054757 = V897334 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV614398 = 6;\n\nFrom these direct assignment(s), we have: \nV144043 = V614398 + 1 = 6 + 1 =7;\nNo other variables can be derived from V144043;\nNo other variables can be derived from V614398;\n\nNow we have done all the calculations. Derived variables are:\nV614398 = 6;\nV144043 = 7;\n\nNow we have finished this problem. ANSWER:\nV614398\n", "role": "assistant" } ]

[ "V248703" ]

[ { "content": "<context>\nassign V597272 = V898640 + 1. assign V626680 = V689527. assign V248703 = V016490 + 1. assign V016203 = V087092 + 1. assign V742411 = V870551 + 1. assign V836861 = V995578 - 1. assign V007865 = V234347 - 1. assign V408772 = V870551 - 1. assign V945029 = V555826. assign V087092 = V628366. assign V585624 = V870551. assign V206974 = V016203. assign V635262 = V817401 + 1. assign V478934 = V170789. assign V807263 = V558474 + 1. assign V647175 = V396168 + 1. assign V898640 = V827010 + 1. assign V689527 = V730947 + 1. assign V464142 = V633394 + 1. assign V343065 = V870551 + 1. assign V637708 = V291074 - 1. assign V099214 = V913500 - 1. assign V103444 = V689527 - 1. assign V065640 = V060855. assign V943900 = V652273 - 1. assign V865293 = V585624 + 1. assign V581655 = V065741 + 1. assign V683486 = V054297. assign V811458 = V271327 + 1. assign V170789 = V500198 + 1. assign V646183 = V054297. assign V324849 = V689527 + 1. assign V005342 = V817401 + 1. assign V633394 = V054297 - 1. assign V866945 = V169334 - 1. assign V546091 = V870551 + 1. assign V336466 = V635836 + 1. assign V400206 = V500198 + 1. assign V943332 = V099422 - 1. assign V648277 = V845130 - 1. assign V693947 = V154465 + 1. assign V555826 = V898640. assign V721889 = V154465. assign V827010 = V333052. assign V396168 = V546091. assign V036307 = V343065 + 1. assign V652106 = V065741 - 1. assign V253860 = V667454 - 1. assign V181800 = V620968 + 1. assign V864127 = V440033 + 1. assign V672989 = V870551 - 1. assign V690106 = V135014 - 1. assign V197775 = V500198 - 1. assign V650433 = V197775. assign V845130 = V090124 - 1. assign V933766 = V054297 + 1. assign V842690 = V081534 - 1. assign V635623 = V044770 + 1. assign V799689 = V480606 - 1. assign V591035 = V197775. assign V970292 = V833399. assign V178589 = V494342. assign V576490 = V848932 - 1. assign V043552 = V099422 - 1. assign V095458 = V793793 - 1. assign V099422 = V689527. assign V833399 = V637708. assign V028076 = V408772 - 1. assign V570531 = V633394. assign V739293 = V870551 - 1. assign V896943 = V503961. assign V367138 = V730947 + 1. assign V527726 = V087092. assign V369947 = V742411 + 1. assign V010628 = V866945 + 1. assign V339008 = V480606 + 1. assign V632845 = V633394 + 1. assign V016490 = 0. assign V561771 = V845130 + 1. assign V261390 = V730947 + 1. assign V995578 = V494342 + 1. assign V635836 = V730947 - 1. assign V734184 = V652273. assign V430128 = V339008 - 1. assign V500198 = V913500. assign V185831 = V464142 + 1. assign V505609 = V635836. assign V003093 = V729485. assign V530774 = V355759 - 1. assign V222575 = V494342 - 1. assign V060855 = V090124 + 1. assign V055827 = V830120. assign V449439 = V667454 - 1. assign V895625 = V933766 + 1. assign V849945 = V585624 + 1. assign V639383 = V945029 - 1. assign V809841 = V500198 - 1. assign V743559 = V913500. assign V656035 = V638008 + 1. assign V054297 = V689527 + 1. assign V279642 = V913500 + 1. assign V786224 = V859745 - 1. assign V325056 = V271327. assign V714203 = V628366 - 1. assign V652273 = V500198 + 1. assign V784727 = V870551 + 1. assign V154465 = V558474. assign V870551 = V730947 + 1. assign V001125 = V396168. assign V146679 = V628366 - 1. assign V573400 = V827010 + 1. assign V544339 = V367138. assign V637360 = V849945 - 1. assign V250063 = V279642 - 1. assign V558474 = V343065. assign V231021 = V099214 - 1. assign V480606 = V889172. assign V036998 = V500198 + 1. assign V508608 = V154465. assign V667454 = V234347. assign V889172 = V830120 - 1. assign V465892 = V786224 - 1. assign V090124 = V743559 + 1. assign V638008 = V633394 - 1. assign V029516 = V730947. assign V881600 = V060855. assign V990056 = V333052. assign V440033 = V913500 + 1. assign V700378 = V827010. assign V677847 = V054297 - 1. assign V848932 = V859745 - 1. assign V397012 = V464142 + 1. assign V494342 = V570531 + 1. assign V116004 = V743559 + 1. assign V859745 = V197775. assign V081534 = V397012 - 1. assign V527505 = V849945 - 1. assign V169334 = V713776 + 1. assign V303024 = V555826. assign V776142 = V480606 - 1. assign V271327 = V689527. assign V620968 = V784727 + 1. assign V005183 = V652273 - 1. assign V967243 = V635836. assign V333052 = V870551 - 1. assign V913500 = V730947 + 1. assign V628366 = V637708 + 1. assign V135014 = V367138 + 1. assign V990213 = V646183 + 1. assign V759684 = V576490 + 1. assign V532586 = V558474. assign V193944 = V478934. assign V890531 = V848932. assign V713776 = V103444. assign V291074 = V913500 + 1. assign V795121 = V637360. assign V878982 = V170789 + 1. assign V467748 = V739293 - 1. assign V228161 = V396168. assign V793793 = V336466 + 1. assign V044770 = V635836. assign V901621 = V544339 - 1. assign V355759 = V324849 - 1. assign V065741 = V065640 + 1. assign V486755 = V291074 - 1. assign V817401 = V181800 + 1. assign V545123 = V865293 - 1. assign V729485 = V628366. assign V830120 = V638008 + 1. assign V234347 = V628366 + 1. assign V721176 = V620968 + 1. assign V503961 = V555826.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V597272 = V898640 + 1. assign V626680 = V689527. assign V248703 = V016490 + 1. assign V016203 = V087092 + 1. assign V742411 = V870551 + 1. assign V836861 = V995578 - 1. assign V007865 = V234347 - 1. assign V408772 = V870551 - 1. assign V945029 = V555826. assign V087092 = V628366. assign V585624 = V870551. assign V206974 = V016203. assign V635262 = V817401 + 1. assign V478934 = V170789. assign V807263 = V558474 + 1. assign V647175 = V396168 + 1. assign V898640 = V827010 + 1. assign V689527 = V730947 + 1. assign V464142 = V633394 + 1. assign V343065 = V870551 + 1. assign V637708 = V291074 - 1. assign V099214 = V913500 - 1. assign V103444 = V689527 - 1. assign V065640 = V060855. assign V943900 = V652273 - 1. assign V865293 = V585624 + 1. assign V581655 = V065741 + 1. assign V683486 = V054297. assign V811458 = V271327 + 1. assign V170789 = V500198 + 1. assign V646183 = V054297. assign V324849 = V689527 + 1. assign V005342 = V817401 + 1. assign V633394 = V054297 - 1. assign V866945 = V169334 - 1. assign V546091 = V870551 + 1. assign V336466 = V635836 + 1. assign V400206 = V500198 + 1. assign V943332 = V099422 - 1. assign V648277 = V845130 - 1. assign V693947 = V154465 + 1. assign V555826 = V898640. assign V721889 = V154465. assign V827010 = V333052. assign V396168 = V546091. assign V036307 = V343065 + 1. assign V652106 = V065741 - 1. assign V253860 = V667454 - 1. assign V181800 = V620968 + 1. assign V864127 = V440033 + 1. assign V672989 = V870551 - 1. assign V690106 = V135014 - 1. assign V197775 = V500198 - 1. assign V650433 = V197775. assign V845130 = V090124 - 1. assign V933766 = V054297 + 1. assign V842690 = V081534 - 1. assign V635623 = V044770 + 1. assign V799689 = V480606 - 1. assign V591035 = V197775. assign V970292 = V833399. assign V178589 = V494342. assign V576490 = V848932 - 1. assign V043552 = V099422 - 1. assign V095458 = V793793 - 1. assign V099422 = V689527. assign V833399 = V637708. assign V028076 = V408772 - 1. assign V570531 = V633394. assign V739293 = V870551 - 1. assign V896943 = V503961. assign V367138 = V730947 + 1. assign V527726 = V087092. assign V369947 = V742411 + 1. assign V010628 = V866945 + 1. assign V339008 = V480606 + 1. assign V632845 = V633394 + 1. assign V016490 = 0. assign V561771 = V845130 + 1. assign V261390 = V730947 + 1. assign V995578 = V494342 + 1. assign V635836 = V730947 - 1. assign V734184 = V652273. assign V430128 = V339008 - 1. assign V500198 = V913500. assign V185831 = V464142 + 1. assign V505609 = V635836. assign V003093 = V729485. assign V530774 = V355759 - 1. assign V222575 = V494342 - 1. assign V060855 = V090124 + 1. assign V055827 = V830120. assign V449439 = V667454 - 1. assign V895625 = V933766 + 1. assign V849945 = V585624 + 1. assign V639383 = V945029 - 1. assign V809841 = V500198 - 1. assign V743559 = V913500. assign V656035 = V638008 + 1. assign V054297 = V689527 + 1. assign V279642 = V913500 + 1. assign V786224 = V859745 - 1. assign V325056 = V271327. assign V714203 = V628366 - 1. assign V652273 = V500198 + 1. assign V784727 = V870551 + 1. assign V154465 = V558474. assign V870551 = V730947 + 1. assign V001125 = V396168. assign V146679 = V628366 - 1. assign V573400 = V827010 + 1. assign V544339 = V367138. assign V637360 = V849945 - 1. assign V250063 = V279642 - 1. assign V558474 = V343065. assign V231021 = V099214 - 1. assign V480606 = V889172. assign V036998 = V500198 + 1. assign V508608 = V154465. assign V667454 = V234347. assign V889172 = V830120 - 1. assign V465892 = V786224 - 1. assign V090124 = V743559 + 1. assign V638008 = V633394 - 1. assign V029516 = V730947. assign V881600 = V060855. assign V990056 = V333052. assign V440033 = V913500 + 1. assign V700378 = V827010. assign V677847 = V054297 - 1. assign V848932 = V859745 - 1. assign V397012 = V464142 + 1. assign V494342 = V570531 + 1. assign V116004 = V743559 + 1. assign V859745 = V197775. assign V081534 = V397012 - 1. assign V527505 = V849945 - 1. assign V169334 = V713776 + 1. assign V303024 = V555826. assign V776142 = V480606 - 1. assign V271327 = V689527. assign V620968 = V784727 + 1. assign V005183 = V652273 - 1. assign V967243 = V635836. assign V333052 = V870551 - 1. assign V913500 = V730947 + 1. assign V628366 = V637708 + 1. assign V135014 = V367138 + 1. assign V990213 = V646183 + 1. assign V759684 = V576490 + 1. assign V532586 = V558474. assign V193944 = V478934. assign V890531 = V848932. assign V713776 = V103444. assign V291074 = V913500 + 1. assign V795121 = V637360. assign V878982 = V170789 + 1. assign V467748 = V739293 - 1. assign V228161 = V396168. assign V793793 = V336466 + 1. assign V044770 = V635836. assign V901621 = V544339 - 1. assign V355759 = V324849 - 1. assign V065741 = V065640 + 1. assign V486755 = V291074 - 1. assign V817401 = V181800 + 1. assign V545123 = V865293 - 1. assign V729485 = V628366. assign V830120 = V638008 + 1. assign V234347 = V628366 + 1. assign V721176 = V620968 + 1. assign V503961 = V555826.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV016490 = 0;\n\nFrom these direct assignment(s), we have: \nV248703 = V016490 + 1 = 0 + 1 =1;\nNo other variables can be derived from V248703;\nNo other variables can be derived from V016490;\n\nNow we have done all the calculations. Derived variables are:\nV016490 = 0;\nV248703 = 1;\n\nNow we have finished this problem. ANSWER:\nV248703\n", "role": "assistant" } ]

[ "V586013" ]

[ { "content": "<context>\nassign V811841 = V845782 + 1. assign V627417 = V094073 - 1. assign V827920 = V023461 + 1. assign V744017 = V048205 - 1. assign V489777 = V200238 + 1. assign V452027 = V546382 + 1. assign V111583 = V744017 + 1. assign V456648 = V696433 - 1. assign V422756 = V158711. assign V061790 = V627417 + 1. assign V019750 = V023461 - 1. assign V242800 = V146194. assign V617275 = V516372. assign V448890 = V217432 - 1. assign V550078 = V080329 + 1. assign V829104 = V080329 + 1. assign V286401 = V516372. assign V360142 = V449778 - 1. assign V002519 = V682901 + 1. assign V094073 = V194321 + 1. assign V582605 = V565337 + 1. assign V958842 = V146194. assign V424764 = V421645 - 1. assign V534589 = V767523 + 1. assign V096757 = V862913. assign V927330 = V084545 - 1. assign V935550 = V048205 - 1. assign V288277 = V418849 + 1. assign V048205 = V194321 + 1. assign V781187 = V744017. assign V406657 = V744017 + 1. assign V014764 = V094073. assign V561939 = V211070 - 1. assign V137292 = V744017 - 1. assign V336578 = V186606 - 1. assign V554053 = V048205. assign V739205 = V567631 - 1. assign V696433 = V247437 + 1. assign V537030 = V533598. assign V709507 = V048205 + 1. assign V533598 = V143426 + 1. assign V682901 = V613782. assign V200238 = V180698 + 1. assign V179749 = V133251 + 1. assign V862217 = V004318. assign V873801 = V444307 + 1. assign V320916 = V398524 - 1. assign V845782 = V932665 + 1. assign V146194 = V194321. assign V895446 = V078270. assign V337314 = V084545. assign V586939 = V803107. assign V478773 = V958842 - 1. assign V419606 = V767523 + 1. assign V080329 = V202305. assign V976129 = V406657 + 1. assign V212442 = V048205 - 1. assign V143426 = V146194. assign V827842 = V561939. assign V088996 = V023461 - 1. assign V262767 = V094073 + 1. assign V418849 = V088996 - 1. assign V613782 = V604878 - 1. assign V586013 = V189489 + 1. assign V587676 = V804557 + 1. assign V718070 = V449778. assign V374128 = V546382 + 1. assign V586145 = V862217 - 1. assign V676373 = V168691 - 1. assign V163375 = V217432 - 1. assign V572887 = V709507 + 1. assign V409488 = V014764 + 1. assign V494554 = V767523 + 1. assign V555211 = V564892 - 1. assign V983286 = V976129. assign V209843 = V586939. assign V115254 = V149045. assign V036419 = V627417 - 1. assign V595499 = V564892 - 1. assign V585792 = V121915. assign V328474 = V613782 - 1. assign V428003 = V730134 - 1. assign V202305 = V146194 - 1. assign V602866 = V774382. assign V119062 = V406657 + 1. assign V278903 = V137292 - 1. assign V121915 = V564892. assign V774382 = V667111. assign V444307 = V534589. assign V475077 = V478773 + 1. assign V451138 = V613782. assign V720035 = V121915. assign V667111 = V202305 - 1. assign V206732 = V709507. assign V695081 = V163375 - 1. assign V745723 = V014764. assign V217432 = V666465 + 1. assign V337796 = V862913 - 1. assign V189489 = 9. assign V298125 = V276699. assign V078270 = V985756. assign V862913 = V202305. assign V149045 = V398524 - 1. assign V084545 = V094073 - 1. assign V359936 = V149045 - 1. assign V494177 = V561939 - 1. assign V715449 = V217432 - 1. assign V932665 = V555211 - 1. assign V735079 = V730134 - 1. assign V983267 = V212442 + 1. assign V025861 = V344392 - 1. assign V406433 = V088996 - 1. assign V761040 = V478773. assign V260646 = V698284 + 1. assign V808289 = V206732 + 1. assign V133251 = V211070 + 1. assign V535259 = V288277. assign V027298 = V627417 + 1. assign V276699 = V242800 - 1. assign V029627 = V546382. assign V909984 = V516372 - 1. assign V516372 = V168691 - 1. assign V604878 = V094073 - 1. assign V918855 = V604878 - 1. assign V666465 = V057973 - 1. assign V240494 = V168691. assign V364430 = V163375 + 1. assign V803107 = V048205 - 1. assign V840500 = V137292 + 1. assign V164439 = V709507 + 1. assign V564892 = V194321 - 1. assign V635783 = V803107. assign V158711 = V242800. assign V793565 = V078270 - 1. assign V985756 = V804557 + 1. assign V869510 = V862217 + 1. assign V186606 = V163375 - 1. assign V027119 = V985756. assign V533357 = V158711 + 1. assign V180698 = V158711. assign V738946 = V533598. assign V211070 = V164439 - 1. assign V449996 = V627417 + 1. assign V804557 = V202305 + 1. assign V885783 = V202305. assign V247437 = V240494 - 1. assign V698284 = V121915 + 1. assign V398524 = V554053. assign V756045 = V221235 - 1. assign V057973 = V202305. assign V264118 = V328474. assign V404270 = V761040 + 1. assign V565337 = V409488 - 1. assign V767523 = V094073 + 1. assign V730134 = V014764 + 1. assign V004318 = V958842. assign V301953 = V976129 + 1. assign V445740 = V709507. assign V221235 = V337796 + 1. assign V567631 = V613782 - 1. assign V576510 = V337314 - 1. assign V023461 = V744017 - 1. assign V994121 = V533357 + 1. assign V090154 = V613782 + 1. assign V449778 = V180698. assign V117904 = V935550 - 1. assign V168691 = V158711 - 1. assign V421645 = V804557. assign V546382 = V927330 - 1. assign V319373 = V572887 + 1. assign V344392 = V409488 + 1. assign V675669 = V137292 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V811841 = V845782 + 1. assign V627417 = V094073 - 1. assign V827920 = V023461 + 1. assign V744017 = V048205 - 1. assign V489777 = V200238 + 1. assign V452027 = V546382 + 1. assign V111583 = V744017 + 1. assign V456648 = V696433 - 1. assign V422756 = V158711. assign V061790 = V627417 + 1. assign V019750 = V023461 - 1. assign V242800 = V146194. assign V617275 = V516372. assign V448890 = V217432 - 1. assign V550078 = V080329 + 1. assign V829104 = V080329 + 1. assign V286401 = V516372. assign V360142 = V449778 - 1. assign V002519 = V682901 + 1. assign V094073 = V194321 + 1. assign V582605 = V565337 + 1. assign V958842 = V146194. assign V424764 = V421645 - 1. assign V534589 = V767523 + 1. assign V096757 = V862913. assign V927330 = V084545 - 1. assign V935550 = V048205 - 1. assign V288277 = V418849 + 1. assign V048205 = V194321 + 1. assign V781187 = V744017. assign V406657 = V744017 + 1. assign V014764 = V094073. assign V561939 = V211070 - 1. assign V137292 = V744017 - 1. assign V336578 = V186606 - 1. assign V554053 = V048205. assign V739205 = V567631 - 1. assign V696433 = V247437 + 1. assign V537030 = V533598. assign V709507 = V048205 + 1. assign V533598 = V143426 + 1. assign V682901 = V613782. assign V200238 = V180698 + 1. assign V179749 = V133251 + 1. assign V862217 = V004318. assign V873801 = V444307 + 1. assign V320916 = V398524 - 1. assign V845782 = V932665 + 1. assign V146194 = V194321. assign V895446 = V078270. assign V337314 = V084545. assign V586939 = V803107. assign V478773 = V958842 - 1. assign V419606 = V767523 + 1. assign V080329 = V202305. assign V976129 = V406657 + 1. assign V212442 = V048205 - 1. assign V143426 = V146194. assign V827842 = V561939. assign V088996 = V023461 - 1. assign V262767 = V094073 + 1. assign V418849 = V088996 - 1. assign V613782 = V604878 - 1. assign V586013 = V189489 + 1. assign V587676 = V804557 + 1. assign V718070 = V449778. assign V374128 = V546382 + 1. assign V586145 = V862217 - 1. assign V676373 = V168691 - 1. assign V163375 = V217432 - 1. assign V572887 = V709507 + 1. assign V409488 = V014764 + 1. assign V494554 = V767523 + 1. assign V555211 = V564892 - 1. assign V983286 = V976129. assign V209843 = V586939. assign V115254 = V149045. assign V036419 = V627417 - 1. assign V595499 = V564892 - 1. assign V585792 = V121915. assign V328474 = V613782 - 1. assign V428003 = V730134 - 1. assign V202305 = V146194 - 1. assign V602866 = V774382. assign V119062 = V406657 + 1. assign V278903 = V137292 - 1. assign V121915 = V564892. assign V774382 = V667111. assign V444307 = V534589. assign V475077 = V478773 + 1. assign V451138 = V613782. assign V720035 = V121915. assign V667111 = V202305 - 1. assign V206732 = V709507. assign V695081 = V163375 - 1. assign V745723 = V014764. assign V217432 = V666465 + 1. assign V337796 = V862913 - 1. assign V189489 = 9. assign V298125 = V276699. assign V078270 = V985756. assign V862913 = V202305. assign V149045 = V398524 - 1. assign V084545 = V094073 - 1. assign V359936 = V149045 - 1. assign V494177 = V561939 - 1. assign V715449 = V217432 - 1. assign V932665 = V555211 - 1. assign V735079 = V730134 - 1. assign V983267 = V212442 + 1. assign V025861 = V344392 - 1. assign V406433 = V088996 - 1. assign V761040 = V478773. assign V260646 = V698284 + 1. assign V808289 = V206732 + 1. assign V133251 = V211070 + 1. assign V535259 = V288277. assign V027298 = V627417 + 1. assign V276699 = V242800 - 1. assign V029627 = V546382. assign V909984 = V516372 - 1. assign V516372 = V168691 - 1. assign V604878 = V094073 - 1. assign V918855 = V604878 - 1. assign V666465 = V057973 - 1. assign V240494 = V168691. assign V364430 = V163375 + 1. assign V803107 = V048205 - 1. assign V840500 = V137292 + 1. assign V164439 = V709507 + 1. assign V564892 = V194321 - 1. assign V635783 = V803107. assign V158711 = V242800. assign V793565 = V078270 - 1. assign V985756 = V804557 + 1. assign V869510 = V862217 + 1. assign V186606 = V163375 - 1. assign V027119 = V985756. assign V533357 = V158711 + 1. assign V180698 = V158711. assign V738946 = V533598. assign V211070 = V164439 - 1. assign V449996 = V627417 + 1. assign V804557 = V202305 + 1. assign V885783 = V202305. assign V247437 = V240494 - 1. assign V698284 = V121915 + 1. assign V398524 = V554053. assign V756045 = V221235 - 1. assign V057973 = V202305. assign V264118 = V328474. assign V404270 = V761040 + 1. assign V565337 = V409488 - 1. assign V767523 = V094073 + 1. assign V730134 = V014764 + 1. assign V004318 = V958842. assign V301953 = V976129 + 1. assign V445740 = V709507. assign V221235 = V337796 + 1. assign V567631 = V613782 - 1. assign V576510 = V337314 - 1. assign V023461 = V744017 - 1. assign V994121 = V533357 + 1. assign V090154 = V613782 + 1. assign V449778 = V180698. assign V117904 = V935550 - 1. assign V168691 = V158711 - 1. assign V421645 = V804557. assign V546382 = V927330 - 1. assign V319373 = V572887 + 1. assign V344392 = V409488 + 1. assign V675669 = V137292 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV189489 = 9;\n\nFrom these direct assignment(s), we have: \nV586013 = V189489 + 1 = 9 + 1 =10;\nNo other variables can be derived from V586013;\nNo other variables can be derived from V189489;\n\nNow we have done all the calculations. Derived variables are:\nV189489 = 9;\nV586013 = 10;\n\nNow we have finished this problem. ANSWER:\nV586013\n", "role": "assistant" } ]

[ "V239248" ]

[ { "content": "<context>\nassign V329664 = V533976 - 1. assign V402343 = V075247 + 1. assign V451939 = V620135. assign V196857 = V140425 - 1. assign V529210 = V095989 - 1. assign V677538 = V910647 + 1. assign V903995 = V369755 + 1. assign V809963 = V305026 + 1. assign V095989 = V135232 + 1. assign V934440 = V118798. assign V531972 = V533976. assign V140425 = V890596 - 1. assign V306184 = V290391 + 1. assign V019578 = V694009. assign V508085 = V212184 - 1. assign V843979 = V084015. assign V826866 = V092126 + 1. assign V776870 = V846755 + 1. assign V290391 = V890596. assign V641940 = V511603 + 1. assign V089485 = V135232 + 1. assign V176758 = V468797. assign V642722 = V310894. assign V568603 = V989572 + 1. assign V692558 = V181650 - 1. assign V742352 = V531972 - 1. assign V372282 = V620327 - 1. assign V355432 = V082374 - 1. assign V593845 = V290391 - 1. assign V136128 = V495496 + 1. assign V862580 = V652385. assign V969259 = V024274. assign V688178 = V890596. assign V620135 = V468797 + 1. assign V997371 = V828732 - 1. assign V278154 = V024274 + 1. assign V195304 = V468797 - 1. assign V694009 = V852073 - 1. assign V369755 = V118798 - 1. assign V846755 = V533976 + 1. assign V645358 = V115174 + 1. assign V153490 = V495496 + 1. assign V403242 = V561992. assign V712303 = V067788. assign V383081 = 7. assign V474028 = V533976 - 1. assign V491276 = V620327 + 1. assign V374505 = V403242 - 1. assign V831648 = V809963. assign V368957 = V024274 - 1. assign V388108 = V539030. assign V312406 = V561992 + 1. assign V495496 = V496050 + 1. assign V090277 = V852073. assign V155281 = V766063 + 1. assign V890596 = V531972 - 1. assign V084015 = V568603 + 1. assign V135232 = V398722 + 1. assign V453942 = V870455 + 1. assign V345204 = V620327 - 1. assign V547984 = V258605 - 1. assign V092126 = V170725 - 1. assign V828732 = V092237 - 1. assign V899391 = V176758. assign V025875 = V604564 - 1. assign V496229 = V140425. assign V464929 = V423359 + 1. assign V398722 = V305026. assign V954523 = V558748. assign V870455 = V982088 - 1. assign V587961 = V092237 - 1. assign V516758 = V828732 - 1. assign V170725 = V118798. assign V236034 = V642722. assign V874023 = V692558 + 1. assign V881388 = V403242 + 1. assign V239248 = V383081 + 1. assign V766063 = V474028 + 1. assign V082374 = V558748 - 1. assign V194019 = V910647 + 1. assign V595675 = V533976 + 1. assign V237843 = V134412. assign V105169 = V118798 + 1. assign V487387 = V550468. assign V305026 = V531972. assign V788209 = V604564 + 1. assign V143094 = V398722 + 1. assign V694277 = V372282 - 1. assign V910647 = V345204. assign V024274 = V610097 + 1. assign V610097 = V118798 - 1. assign V295964 = V610097 - 1. assign V620327 = V531972 - 1. assign V474284 = V910647. assign V092651 = V118798. assign V558748 = V910647. assign V574260 = V278154. assign V075736 = V402343. assign V423359 = V545398 - 1. assign V939677 = V092237. assign V371348 = V852073 + 1. assign V852073 = V604564 - 1. assign V067788 = V828732 + 1. assign V710234 = V946339 - 1. assign V758569 = V089485. assign V317052 = V989572. assign V623900 = V620327 - 1. assign V748019 = V075247. assign V242968 = V024274. assign V703353 = V135232 - 1. assign V545861 = V835162 - 1. assign V075247 = V478066 - 1. assign V487081 = V692558. assign V502108 = V587961 - 1. assign V478066 = V620327 - 1. assign V734694 = V453942 - 1. assign V060040 = V398722 - 1. assign V696936 = V136128 - 1. assign V999338 = V019578. assign V496050 = V692558. assign V181650 = V890596 - 1. assign V175540 = V835162 + 1. assign V352144 = V372282. assign V149419 = V610097 + 1. assign V835162 = V531972 + 1. assign V258605 = V478066 + 1. assign V611049 = V181650 - 1. assign V946339 = V604564 + 1. assign V608462 = V149419. assign V727948 = V678973 - 1. assign V468797 = V181650 - 1. assign V550468 = V555036. assign V935748 = V852073 - 1. assign V381164 = V310894 - 1. assign V989572 = V175540 - 1. assign V212184 = V136128 - 1. assign V053849 = V899391 + 1. assign V124525 = V899391 - 1. assign V269826 = V345204 + 1. assign V545398 = V474028 - 1. assign V381135 = V688178 - 1. assign V453425 = V502108 + 1. assign V180563 = V835162. assign V695778 = V487081. assign V678973 = V555036. assign V511603 = V181650 - 1. assign V580756 = V092237 - 1. assign V572255 = V531972. assign V539030 = V329664 + 1. assign V105947 = V939677. assign V092237 = V533976 - 1. assign V931751 = V545398 + 1. assign V994477 = V852073 + 1. assign V795537 = V788209 + 1. assign V118798 = V531972. assign V652385 = V910647 + 1. assign V604564 = V533976 - 1. assign V555036 = V075247 - 1. assign V115174 = V345204. assign V033734 = V843979 + 1. assign V273894 = V529210. assign V831912 = V533976 - 1. assign V930454 = V502108. assign V561992 = V620327. assign V384582 = V089485 + 1. assign V773328 = V118798. assign V310894 = V788209. assign V982088 = V305026. assign V936709 = V511603. assign V078897 = V305026 + 1. assign V130473 = V994477. assign V134412 = V118798 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V329664 = V533976 - 1. assign V402343 = V075247 + 1. assign V451939 = V620135. assign V196857 = V140425 - 1. assign V529210 = V095989 - 1. assign V677538 = V910647 + 1. assign V903995 = V369755 + 1. assign V809963 = V305026 + 1. assign V095989 = V135232 + 1. assign V934440 = V118798. assign V531972 = V533976. assign V140425 = V890596 - 1. assign V306184 = V290391 + 1. assign V019578 = V694009. assign V508085 = V212184 - 1. assign V843979 = V084015. assign V826866 = V092126 + 1. assign V776870 = V846755 + 1. assign V290391 = V890596. assign V641940 = V511603 + 1. assign V089485 = V135232 + 1. assign V176758 = V468797. assign V642722 = V310894. assign V568603 = V989572 + 1. assign V692558 = V181650 - 1. assign V742352 = V531972 - 1. assign V372282 = V620327 - 1. assign V355432 = V082374 - 1. assign V593845 = V290391 - 1. assign V136128 = V495496 + 1. assign V862580 = V652385. assign V969259 = V024274. assign V688178 = V890596. assign V620135 = V468797 + 1. assign V997371 = V828732 - 1. assign V278154 = V024274 + 1. assign V195304 = V468797 - 1. assign V694009 = V852073 - 1. assign V369755 = V118798 - 1. assign V846755 = V533976 + 1. assign V645358 = V115174 + 1. assign V153490 = V495496 + 1. assign V403242 = V561992. assign V712303 = V067788. assign V383081 = 7. assign V474028 = V533976 - 1. assign V491276 = V620327 + 1. assign V374505 = V403242 - 1. assign V831648 = V809963. assign V368957 = V024274 - 1. assign V388108 = V539030. assign V312406 = V561992 + 1. assign V495496 = V496050 + 1. assign V090277 = V852073. assign V155281 = V766063 + 1. assign V890596 = V531972 - 1. assign V084015 = V568603 + 1. assign V135232 = V398722 + 1. assign V453942 = V870455 + 1. assign V345204 = V620327 - 1. assign V547984 = V258605 - 1. assign V092126 = V170725 - 1. assign V828732 = V092237 - 1. assign V899391 = V176758. assign V025875 = V604564 - 1. assign V496229 = V140425. assign V464929 = V423359 + 1. assign V398722 = V305026. assign V954523 = V558748. assign V870455 = V982088 - 1. assign V587961 = V092237 - 1. assign V516758 = V828732 - 1. assign V170725 = V118798. assign V236034 = V642722. assign V874023 = V692558 + 1. assign V881388 = V403242 + 1. assign V239248 = V383081 + 1. assign V766063 = V474028 + 1. assign V082374 = V558748 - 1. assign V194019 = V910647 + 1. assign V595675 = V533976 + 1. assign V237843 = V134412. assign V105169 = V118798 + 1. assign V487387 = V550468. assign V305026 = V531972. assign V788209 = V604564 + 1. assign V143094 = V398722 + 1. assign V694277 = V372282 - 1. assign V910647 = V345204. assign V024274 = V610097 + 1. assign V610097 = V118798 - 1. assign V295964 = V610097 - 1. assign V620327 = V531972 - 1. assign V474284 = V910647. assign V092651 = V118798. assign V558748 = V910647. assign V574260 = V278154. assign V075736 = V402343. assign V423359 = V545398 - 1. assign V939677 = V092237. assign V371348 = V852073 + 1. assign V852073 = V604564 - 1. assign V067788 = V828732 + 1. assign V710234 = V946339 - 1. assign V758569 = V089485. assign V317052 = V989572. assign V623900 = V620327 - 1. assign V748019 = V075247. assign V242968 = V024274. assign V703353 = V135232 - 1. assign V545861 = V835162 - 1. assign V075247 = V478066 - 1. assign V487081 = V692558. assign V502108 = V587961 - 1. assign V478066 = V620327 - 1. assign V734694 = V453942 - 1. assign V060040 = V398722 - 1. assign V696936 = V136128 - 1. assign V999338 = V019578. assign V496050 = V692558. assign V181650 = V890596 - 1. assign V175540 = V835162 + 1. assign V352144 = V372282. assign V149419 = V610097 + 1. assign V835162 = V531972 + 1. assign V258605 = V478066 + 1. assign V611049 = V181650 - 1. assign V946339 = V604564 + 1. assign V608462 = V149419. assign V727948 = V678973 - 1. assign V468797 = V181650 - 1. assign V550468 = V555036. assign V935748 = V852073 - 1. assign V381164 = V310894 - 1. assign V989572 = V175540 - 1. assign V212184 = V136128 - 1. assign V053849 = V899391 + 1. assign V124525 = V899391 - 1. assign V269826 = V345204 + 1. assign V545398 = V474028 - 1. assign V381135 = V688178 - 1. assign V453425 = V502108 + 1. assign V180563 = V835162. assign V695778 = V487081. assign V678973 = V555036. assign V511603 = V181650 - 1. assign V580756 = V092237 - 1. assign V572255 = V531972. assign V539030 = V329664 + 1. assign V105947 = V939677. assign V092237 = V533976 - 1. assign V931751 = V545398 + 1. assign V994477 = V852073 + 1. assign V795537 = V788209 + 1. assign V118798 = V531972. assign V652385 = V910647 + 1. assign V604564 = V533976 - 1. assign V555036 = V075247 - 1. assign V115174 = V345204. assign V033734 = V843979 + 1. assign V273894 = V529210. assign V831912 = V533976 - 1. assign V930454 = V502108. assign V561992 = V620327. assign V384582 = V089485 + 1. assign V773328 = V118798. assign V310894 = V788209. assign V982088 = V305026. assign V936709 = V511603. assign V078897 = V305026 + 1. assign V130473 = V994477. assign V134412 = V118798 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV383081 = 7;\n\nFrom these direct assignment(s), we have: \nV239248 = V383081 + 1 = 7 + 1 =8;\nNo other variables can be derived from V239248;\nNo other variables can be derived from V383081;\n\nNow we have done all the calculations. Derived variables are:\nV383081 = 7;\nV239248 = 8;\n\nNow we have finished this problem. ANSWER:\nV239248\n", "role": "assistant" } ]

[ "V080081" ]

[ { "content": "<context>\nassign V084096 = V377676 - 1. assign V402076 = V046216. assign V674173 = V213003. assign V893152 = V544239 + 1. assign V733913 = V645781 + 1. assign V501229 = V544239. assign V601236 = V325372 + 1. assign V374387 = V299118 + 1. assign V851464 = V389149 - 1. assign V407549 = V400907 - 1. assign V542735 = V016392. assign V207155 = V394161 - 1. assign V391320 = V669813 - 1. assign V494045 = V046216 - 1. assign V901052 = V103859. assign V220010 = V042465. assign V367246 = V228485 + 1. assign V438023 = V325372 - 1. assign V377676 = V373256. assign V205033 = V042465. assign V373256 = V645781. assign V029597 = V501229. assign V382370 = V753996. assign V909812 = V753996 - 1. assign V856219 = V372639 - 1. assign V772543 = V387026. assign V423628 = V402048. assign V596337 = V020416. assign V191588 = V723439. assign V385995 = V485619. assign V863600 = V544239 - 1. assign V723439 = V056863 + 1. assign V203333 = V062757 + 1. assign V178584 = V429344. assign V529727 = V377676 - 1. assign V596361 = V043348. assign V429344 = V409527 + 1. assign V054010 = V885309. assign V160513 = V960739 - 1. assign V645781 = V042465 + 1. assign V851228 = V103859. assign V273887 = V438023 - 1. assign V575327 = V046216. assign V339481 = V054816 + 1. assign V172818 = V344739 + 1. assign V046216 = V228485 - 1. assign V989825 = V938229 - 1. assign V409527 = V377676. assign V087375 = V889197 + 1. assign V027403 = V042465. assign V628028 = V642355. assign V401510 = V409527. assign V995917 = V324796. assign V317832 = V172818 - 1. assign V094206 = V769369. assign V625808 = V324796 + 1. assign V030518 = V905765 - 1. assign V226209 = V885309 - 1. assign V440093 = V213003 - 1. assign V324796 = V172818 + 1. assign V905765 = V901052. assign V651450 = V928896. assign V214619 = V769369 - 1. assign V325487 = V084096 - 1. assign V016392 = V325372 - 1. assign V935925 = V220010 + 1. assign V039920 = V440093 - 1. assign V080081 = 5. assign V020416 = V056863. assign V344739 = V205033 - 1. assign V056863 = V042465 - 1. assign V457456 = V645781 - 1. assign V273584 = V540575 - 1. assign V736869 = V207155 + 1. assign V311734 = V429344 + 1. assign V037946 = V373256. assign V485619 = V028746. assign V177069 = V373256 - 1. assign V959681 = V344739 + 1. assign V928766 = V402048. assign V642355 = V889197 - 1. assign V125221 = V228485. assign V583496 = V544239. assign V389149 = V377676 - 1. assign V322462 = V959681 + 1. assign V145875 = V016392 - 1. assign V325706 = V103859 - 1. assign V753996 = V325372 + 1. assign V650255 = V056784 + 1. assign V372639 = V893152 + 1. assign V645354 = V544239 - 1. assign V865331 = V262853 + 1. assign V394161 = V924367. assign V960739 = V056863 + 1. assign V792248 = V400907 - 1. assign V237981 = V645781 - 1. assign V863008 = V960739 + 1. assign V076811 = V723439 - 1. assign V769369 = V039920 + 1. assign V239255 = V960739 + 1. assign V775335 = V893152 - 1. assign V889197 = V325372 + 1. assign V092175 = V325487 + 1. assign V885309 = V299118. assign V540575 = V995917 - 1. assign V084333 = V959681 + 1. assign V056784 = V037946 - 1. assign V054816 = V043348 - 1. assign V028746 = V325372 - 1. assign V260891 = V409527 + 1. assign V045092 = V457456 + 1. assign V950042 = V325372. assign V981821 = V037946 - 1. assign V602458 = V596361 + 1. assign V768894 = V642355 - 1. assign V787354 = V863008. assign V294642 = V012481. assign V709644 = V205033 - 1. assign V731577 = V415165 - 1. assign V042465 = V885309. assign V908798 = V889197. assign V415165 = V062757 - 1. assign V924367 = V205033 + 1. assign V474191 = V020416 - 1. assign V747491 = V674173. assign V043348 = V373256 - 1. assign V228485 = V901052 - 1. assign V213003 = V237981 - 1. assign V884848 = V450433 - 1. assign V549746 = V544239 - 1. assign V219285 = V322462 - 1. assign V669813 = V027403. assign V265674 = V485619 + 1. assign V378400 = V339481 + 1. assign V093207 = V080081 + 1. assign V450433 = V056863 - 1. assign V510786 = V037946 + 1. assign V062757 = V950042 - 1. assign V387874 = V863600 + 1. assign V881949 = V172818 - 1. assign V012481 = V237981. assign V400907 = V324796 + 1. assign V664552 = V602458. assign V387026 = V262853 + 1. assign V554859 = V028746. assign V495821 = V885309 - 1. assign V402048 = V429344. assign V999645 = V723439 - 1. assign V319258 = V042465 - 1. assign V544239 = V299118 - 1. assign V473454 = V938229 + 1. assign V472794 = V901052. assign V161752 = V723439. assign V780550 = V938229 + 1. assign V685973 = V385995 - 1. assign V325372 = V544239 + 1. assign V930991 = V473454 - 1. assign V622669 = V027403 - 1. assign V103859 = V042465 - 1. assign V265004 = V905765 - 1. assign V221919 = V299118 + 1. assign V273508 = V054816 - 1. assign V840790 = V299118 - 1. assign V928896 = V753996. assign V780560 = V457456 - 1. assign V262853 = V960739 - 1. assign V886845 = V510786 + 1. assign V538331 = V544239 - 1. assign V205417 = V495821 - 1. assign V938229 = V325372. assign V139164 = V863008. assign V919178 = V056863.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V084096 = V377676 - 1. assign V402076 = V046216. assign V674173 = V213003. assign V893152 = V544239 + 1. assign V733913 = V645781 + 1. assign V501229 = V544239. assign V601236 = V325372 + 1. assign V374387 = V299118 + 1. assign V851464 = V389149 - 1. assign V407549 = V400907 - 1. assign V542735 = V016392. assign V207155 = V394161 - 1. assign V391320 = V669813 - 1. assign V494045 = V046216 - 1. assign V901052 = V103859. assign V220010 = V042465. assign V367246 = V228485 + 1. assign V438023 = V325372 - 1. assign V377676 = V373256. assign V205033 = V042465. assign V373256 = V645781. assign V029597 = V501229. assign V382370 = V753996. assign V909812 = V753996 - 1. assign V856219 = V372639 - 1. assign V772543 = V387026. assign V423628 = V402048. assign V596337 = V020416. assign V191588 = V723439. assign V385995 = V485619. assign V863600 = V544239 - 1. assign V723439 = V056863 + 1. assign V203333 = V062757 + 1. assign V178584 = V429344. assign V529727 = V377676 - 1. assign V596361 = V043348. assign V429344 = V409527 + 1. assign V054010 = V885309. assign V160513 = V960739 - 1. assign V645781 = V042465 + 1. assign V851228 = V103859. assign V273887 = V438023 - 1. assign V575327 = V046216. assign V339481 = V054816 + 1. assign V172818 = V344739 + 1. assign V046216 = V228485 - 1. assign V989825 = V938229 - 1. assign V409527 = V377676. assign V087375 = V889197 + 1. assign V027403 = V042465. assign V628028 = V642355. assign V401510 = V409527. assign V995917 = V324796. assign V317832 = V172818 - 1. assign V094206 = V769369. assign V625808 = V324796 + 1. assign V030518 = V905765 - 1. assign V226209 = V885309 - 1. assign V440093 = V213003 - 1. assign V324796 = V172818 + 1. assign V905765 = V901052. assign V651450 = V928896. assign V214619 = V769369 - 1. assign V325487 = V084096 - 1. assign V016392 = V325372 - 1. assign V935925 = V220010 + 1. assign V039920 = V440093 - 1. assign V080081 = 5. assign V020416 = V056863. assign V344739 = V205033 - 1. assign V056863 = V042465 - 1. assign V457456 = V645781 - 1. assign V273584 = V540575 - 1. assign V736869 = V207155 + 1. assign V311734 = V429344 + 1. assign V037946 = V373256. assign V485619 = V028746. assign V177069 = V373256 - 1. assign V959681 = V344739 + 1. assign V928766 = V402048. assign V642355 = V889197 - 1. assign V125221 = V228485. assign V583496 = V544239. assign V389149 = V377676 - 1. assign V322462 = V959681 + 1. assign V145875 = V016392 - 1. assign V325706 = V103859 - 1. assign V753996 = V325372 + 1. assign V650255 = V056784 + 1. assign V372639 = V893152 + 1. assign V645354 = V544239 - 1. assign V865331 = V262853 + 1. assign V394161 = V924367. assign V960739 = V056863 + 1. assign V792248 = V400907 - 1. assign V237981 = V645781 - 1. assign V863008 = V960739 + 1. assign V076811 = V723439 - 1. assign V769369 = V039920 + 1. assign V239255 = V960739 + 1. assign V775335 = V893152 - 1. assign V889197 = V325372 + 1. assign V092175 = V325487 + 1. assign V885309 = V299118. assign V540575 = V995917 - 1. assign V084333 = V959681 + 1. assign V056784 = V037946 - 1. assign V054816 = V043348 - 1. assign V028746 = V325372 - 1. assign V260891 = V409527 + 1. assign V045092 = V457456 + 1. assign V950042 = V325372. assign V981821 = V037946 - 1. assign V602458 = V596361 + 1. assign V768894 = V642355 - 1. assign V787354 = V863008. assign V294642 = V012481. assign V709644 = V205033 - 1. assign V731577 = V415165 - 1. assign V042465 = V885309. assign V908798 = V889197. assign V415165 = V062757 - 1. assign V924367 = V205033 + 1. assign V474191 = V020416 - 1. assign V747491 = V674173. assign V043348 = V373256 - 1. assign V228485 = V901052 - 1. assign V213003 = V237981 - 1. assign V884848 = V450433 - 1. assign V549746 = V544239 - 1. assign V219285 = V322462 - 1. assign V669813 = V027403. assign V265674 = V485619 + 1. assign V378400 = V339481 + 1. assign V093207 = V080081 + 1. assign V450433 = V056863 - 1. assign V510786 = V037946 + 1. assign V062757 = V950042 - 1. assign V387874 = V863600 + 1. assign V881949 = V172818 - 1. assign V012481 = V237981. assign V400907 = V324796 + 1. assign V664552 = V602458. assign V387026 = V262853 + 1. assign V554859 = V028746. assign V495821 = V885309 - 1. assign V402048 = V429344. assign V999645 = V723439 - 1. assign V319258 = V042465 - 1. assign V544239 = V299118 - 1. assign V473454 = V938229 + 1. assign V472794 = V901052. assign V161752 = V723439. assign V780550 = V938229 + 1. assign V685973 = V385995 - 1. assign V325372 = V544239 + 1. assign V930991 = V473454 - 1. assign V622669 = V027403 - 1. assign V103859 = V042465 - 1. assign V265004 = V905765 - 1. assign V221919 = V299118 + 1. assign V273508 = V054816 - 1. assign V840790 = V299118 - 1. assign V928896 = V753996. assign V780560 = V457456 - 1. assign V262853 = V960739 - 1. assign V886845 = V510786 + 1. assign V538331 = V544239 - 1. assign V205417 = V495821 - 1. assign V938229 = V325372. assign V139164 = V863008. assign V919178 = V056863.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV080081 = 5;\n\nFrom these direct assignment(s), we have: \nV093207 = V080081 + 1 = 5 + 1 =6;\nNo other variables can be derived from V093207;\nNo other variables can be derived from V080081;\n\nNow we have done all the calculations. Derived variables are:\nV080081 = 5;\nV093207 = 6;\n\nNow we have finished this problem. ANSWER:\nV080081\n", "role": "assistant" } ]

[ "V045258" ]

[ { "content": "<context>\nassign V156204 = V981025 - 1. assign V537984 = V776064 + 1. assign V706238 = V607379. assign V228338 = V001199 + 1. assign V516922 = 8. assign V601135 = V503184 + 1. assign V503184 = V443586 + 1. assign V720731 = V876489 - 1. assign V542364 = V818665 - 1. assign V923582 = V700346 - 1. assign V180420 = V443586. assign V654157 = V891744 - 1. assign V186991 = V503184 - 1. assign V793484 = V756936. assign V220191 = V902715 + 1. assign V695584 = V803265 + 1. assign V197901 = V654157 - 1. assign V644087 = V687837 + 1. assign V168569 = V181796 - 1. assign V842990 = V723343 + 1. assign V879264 = V443586. assign V680117 = V542254 - 1. assign V871529 = V808610. assign V152069 = V230889. assign V571435 = V703534. assign V992493 = V346221 + 1. assign V805448 = V484531 + 1. assign V178569 = V700352 - 1. assign V656948 = V981025 - 1. assign V655486 = V443586. assign V620911 = V333320 + 1. assign V581039 = V230889 + 1. assign V017303 = V593903 + 1. assign V932904 = V261296. assign V556732 = V588299 + 1. assign V259934 = V556978 - 1. assign V093347 = V581039. assign V338258 = V007654. assign V697237 = V450784. assign V556978 = V542254 - 1. assign V083440 = V655486 + 1. assign V001199 = V981025 - 1. assign V577922 = V680117 + 1. assign V588299 = V700346 + 1. assign V116929 = V906538 - 1. assign V475943 = V196082 + 1. assign V726596 = V879264. assign V213281 = V655486. assign V167271 = V656948. assign V585275 = V484531. assign V450617 = V333320 + 1. assign V381019 = V175253 - 1. assign V776064 = V918911. assign V425891 = V242460. assign V600419 = V932904 - 1. assign V858239 = V101253 - 1. assign V902715 = V549862 + 1. assign V181796 = V725354 + 1. assign V261296 = V906538. assign V274816 = V450617 - 1. assign V833731 = V450784 + 1. assign V818665 = V180420. assign V045258 = V516922 - 1. assign V124936 = V653039 + 1. assign V075299 = V367801. assign V521822 = V229945 + 1. assign V244401 = V776064 - 1. assign V539462 = V833731 + 1. assign V175253 = V734854 + 1. assign V534718 = V966528 - 1. assign V549862 = V229945 - 1. assign V242460 = V196082 + 1. assign V653039 = V196082 - 1. assign V968167 = V902715 - 1. assign V981025 = V879264 + 1. assign V068382 = V503184. assign V229945 = V443586 + 1. assign V677149 = V726596 + 1. assign V808610 = V549862 - 1. assign V797535 = V230889 - 1. assign V810384 = V124936 + 1. assign V083741 = V093347 + 1. assign V980508 = V462966 - 1. assign V386236 = V164615. assign V756936 = V168569 + 1. assign V007654 = V741301 - 1. assign V167295 = V966528 - 1. assign V074469 = V450784. assign V139912 = V756936. assign V063643 = V593903. assign V187485 = V549862 - 1. assign V764181 = V599571. assign V629545 = V261296 + 1. assign V693748 = V699183 - 1. assign V484247 = V229945 + 1. assign V691329 = V735927 - 1. assign V965511 = V700346 + 1. assign V101253 = V620911 + 1. assign V703751 = V462966 - 1. assign V689970 = V180420 - 1. assign V498257 = V093347 - 1. assign V736533 = V677149 - 1. assign V239459 = V346221. assign V700346 = V443586 - 1. assign V733351 = V321039 - 1. assign V450784 = V549862. assign V308329 = V338258. assign V844868 = V001199 + 1. assign V779127 = V993259 + 1. assign V547908 = V083440 + 1. assign V512315 = V196082 + 1. assign V196082 = V333320. assign V515416 = V001199. assign V321039 = V918911 + 1. assign V484531 = V186991 - 1. assign V242000 = V512315 + 1. assign V232105 = V700346 + 1. assign V457098 = V083440. assign V185883 = V902715 - 1. assign V703534 = V074469 + 1. assign V741301 = V902715. assign V230889 = V656948. assign V333320 = V700346. assign V164615 = V229945 + 1. assign V876489 = V593903 + 1. assign V803265 = V327992 + 1. assign V327992 = V656948 + 1. assign V599571 = V902715 + 1. assign V593903 = V725354 + 1. assign V966528 = V725354 - 1. assign V143915 = V879264. assign V814784 = V891744. assign V723343 = V229945 + 1. assign V699183 = V605268 + 1. assign V734854 = V879264 + 1. assign V493727 = V450617 - 1. assign V993259 = V443586 - 1. assign V542254 = V232105 + 1. assign V918911 = V484247 - 1. assign V358386 = V186991 - 1. assign V028859 = V186991. assign V122728 = V723343. assign V725354 = V879264 + 1. assign V133332 = V966528 + 1. assign V660231 = V653039 + 1. assign V234786 = V186991 - 1. assign V687837 = V112376. assign V367801 = V164615 - 1. assign V555554 = V143915 + 1. assign V254550 = V462966 + 1. assign V607379 = V879264. assign V906538 = V074469 - 1. assign V021116 = V593903 - 1. assign V574778 = V607379. assign V501484 = V700346. assign V802689 = V703751 - 1. assign V281003 = V180420 + 1. assign V700352 = V653039. assign V689018 = V180420 + 1. assign V605268 = V186991 - 1. assign V891744 = V726596 - 1. assign V877600 = V879264. assign V462966 = V333320. assign V630523 = V503184. assign V060978 = V588299 + 1. assign V112376 = V700346 + 1. assign V346221 = V725354 + 1. assign V495223 = V074469 - 1. assign V735927 = V475943 + 1. assign V106830 = V534718 - 1. assign V392334 = V101253 - 1. assign V954046 = V697237 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V156204 = V981025 - 1. assign V537984 = V776064 + 1. assign V706238 = V607379. assign V228338 = V001199 + 1. assign V516922 = 8. assign V601135 = V503184 + 1. assign V503184 = V443586 + 1. assign V720731 = V876489 - 1. assign V542364 = V818665 - 1. assign V923582 = V700346 - 1. assign V180420 = V443586. assign V654157 = V891744 - 1. assign V186991 = V503184 - 1. assign V793484 = V756936. assign V220191 = V902715 + 1. assign V695584 = V803265 + 1. assign V197901 = V654157 - 1. assign V644087 = V687837 + 1. assign V168569 = V181796 - 1. assign V842990 = V723343 + 1. assign V879264 = V443586. assign V680117 = V542254 - 1. assign V871529 = V808610. assign V152069 = V230889. assign V571435 = V703534. assign V992493 = V346221 + 1. assign V805448 = V484531 + 1. assign V178569 = V700352 - 1. assign V656948 = V981025 - 1. assign V655486 = V443586. assign V620911 = V333320 + 1. assign V581039 = V230889 + 1. assign V017303 = V593903 + 1. assign V932904 = V261296. assign V556732 = V588299 + 1. assign V259934 = V556978 - 1. assign V093347 = V581039. assign V338258 = V007654. assign V697237 = V450784. assign V556978 = V542254 - 1. assign V083440 = V655486 + 1. assign V001199 = V981025 - 1. assign V577922 = V680117 + 1. assign V588299 = V700346 + 1. assign V116929 = V906538 - 1. assign V475943 = V196082 + 1. assign V726596 = V879264. assign V213281 = V655486. assign V167271 = V656948. assign V585275 = V484531. assign V450617 = V333320 + 1. assign V381019 = V175253 - 1. assign V776064 = V918911. assign V425891 = V242460. assign V600419 = V932904 - 1. assign V858239 = V101253 - 1. assign V902715 = V549862 + 1. assign V181796 = V725354 + 1. assign V261296 = V906538. assign V274816 = V450617 - 1. assign V833731 = V450784 + 1. assign V818665 = V180420. assign V045258 = V516922 - 1. assign V124936 = V653039 + 1. assign V075299 = V367801. assign V521822 = V229945 + 1. assign V244401 = V776064 - 1. assign V539462 = V833731 + 1. assign V175253 = V734854 + 1. assign V534718 = V966528 - 1. assign V549862 = V229945 - 1. assign V242460 = V196082 + 1. assign V653039 = V196082 - 1. assign V968167 = V902715 - 1. assign V981025 = V879264 + 1. assign V068382 = V503184. assign V229945 = V443586 + 1. assign V677149 = V726596 + 1. assign V808610 = V549862 - 1. assign V797535 = V230889 - 1. assign V810384 = V124936 + 1. assign V083741 = V093347 + 1. assign V980508 = V462966 - 1. assign V386236 = V164615. assign V756936 = V168569 + 1. assign V007654 = V741301 - 1. assign V167295 = V966528 - 1. assign V074469 = V450784. assign V139912 = V756936. assign V063643 = V593903. assign V187485 = V549862 - 1. assign V764181 = V599571. assign V629545 = V261296 + 1. assign V693748 = V699183 - 1. assign V484247 = V229945 + 1. assign V691329 = V735927 - 1. assign V965511 = V700346 + 1. assign V101253 = V620911 + 1. assign V703751 = V462966 - 1. assign V689970 = V180420 - 1. assign V498257 = V093347 - 1. assign V736533 = V677149 - 1. assign V239459 = V346221. assign V700346 = V443586 - 1. assign V733351 = V321039 - 1. assign V450784 = V549862. assign V308329 = V338258. assign V844868 = V001199 + 1. assign V779127 = V993259 + 1. assign V547908 = V083440 + 1. assign V512315 = V196082 + 1. assign V196082 = V333320. assign V515416 = V001199. assign V321039 = V918911 + 1. assign V484531 = V186991 - 1. assign V242000 = V512315 + 1. assign V232105 = V700346 + 1. assign V457098 = V083440. assign V185883 = V902715 - 1. assign V703534 = V074469 + 1. assign V741301 = V902715. assign V230889 = V656948. assign V333320 = V700346. assign V164615 = V229945 + 1. assign V876489 = V593903 + 1. assign V803265 = V327992 + 1. assign V327992 = V656948 + 1. assign V599571 = V902715 + 1. assign V593903 = V725354 + 1. assign V966528 = V725354 - 1. assign V143915 = V879264. assign V814784 = V891744. assign V723343 = V229945 + 1. assign V699183 = V605268 + 1. assign V734854 = V879264 + 1. assign V493727 = V450617 - 1. assign V993259 = V443586 - 1. assign V542254 = V232105 + 1. assign V918911 = V484247 - 1. assign V358386 = V186991 - 1. assign V028859 = V186991. assign V122728 = V723343. assign V725354 = V879264 + 1. assign V133332 = V966528 + 1. assign V660231 = V653039 + 1. assign V234786 = V186991 - 1. assign V687837 = V112376. assign V367801 = V164615 - 1. assign V555554 = V143915 + 1. assign V254550 = V462966 + 1. assign V607379 = V879264. assign V906538 = V074469 - 1. assign V021116 = V593903 - 1. assign V574778 = V607379. assign V501484 = V700346. assign V802689 = V703751 - 1. assign V281003 = V180420 + 1. assign V700352 = V653039. assign V689018 = V180420 + 1. assign V605268 = V186991 - 1. assign V891744 = V726596 - 1. assign V877600 = V879264. assign V462966 = V333320. assign V630523 = V503184. assign V060978 = V588299 + 1. assign V112376 = V700346 + 1. assign V346221 = V725354 + 1. assign V495223 = V074469 - 1. assign V735927 = V475943 + 1. assign V106830 = V534718 - 1. assign V392334 = V101253 - 1. assign V954046 = V697237 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV516922 = 8;\n\nFrom these direct assignment(s), we have: \nV045258 = V516922 - 1 = 8 - 1 =7;\nNo other variables can be derived from V045258;\nNo other variables can be derived from V516922;\n\nNow we have done all the calculations. Derived variables are:\nV516922 = 8;\nV045258 = 7;\n\nNow we have finished this problem. ANSWER:\nV045258\n", "role": "assistant" } ]

[ "V776124", "V494541" ]

[ { "content": "<context>\nassign V471990 = V973424 + 1. assign V296763 = V537291. assign V706839 = V873089 - 1. assign V497932 = V770727 + 1. assign V728474 = V884829. assign V812109 = V271025 - 1. assign V390028 = V566292 - 1. assign V460500 = V981817 - 1. assign V761451 = V266444 - 1. assign V855192 = V312416 - 1. assign V660463 = V566292. assign V845351 = V728474 + 1. assign V525455 = V925954 - 1. assign V375204 = V552413. assign V000380 = V838968 + 1. assign V973424 = V770727 - 1. assign V334773 = V873089. assign V445914 = V328913. assign V955513 = V486375 - 1. assign V045883 = V884829. assign V413815 = V187303 - 1. assign V312416 = V369142 + 1. assign V168025 = V289876. assign V190723 = V764672 + 1. assign V302372 = V494291 - 1. assign V494291 = V249362 - 1. assign V925954 = V981817 - 1. assign V042509 = V678373 + 1. assign V897421 = V884829. assign V502799 = V973424 - 1. assign V514883 = V243295. assign V351704 = V243295. assign V428896 = V663940 - 1. assign V027673 = V334773 + 1. assign V189681 = V656053 - 1. assign V482818 = V189681. assign V745338 = V884829. assign V221965 = V066830. assign V275050 = V859948 - 1. assign V494541 = V776124. assign V073796 = V014752 + 1. assign V350473 = V066830 + 1. assign V746036 = V396249 - 1. assign V782010 = V780411. assign V741772 = V187303 + 1. assign V239800 = V243295. assign V591950 = V288482 + 1. assign V414598 = V497932 - 1. assign V378403 = V643200. assign V789404 = V620357 - 1. assign V557490 = V058094. assign V271025 = V963902 + 1. assign V363989 = V971044 - 1. assign V328913 = V350473. assign V365504 = V838968 + 1. assign V770727 = V886557 + 1. assign V886557 = V243295 - 1. assign V289876 = V650788 - 1. assign V649025 = V328913. assign V173222 = V471990. assign V678373 = V442948. assign V396249 = V356289 + 1. assign V028875 = V566292. assign V873089 = V243295 - 1. assign V147235 = V442948 + 1. assign V656053 = V886557 - 1. assign V838497 = V243295 - 1. assign V477247 = V858503 + 1. assign V970560 = V343046 - 1. assign V288482 = V728474 - 1. assign V270689 = V650788 + 1. assign V815696 = V296763. assign V971044 = V897421. assign V129130 = V537291. assign V963902 = V211522 - 1. assign V234908 = V963902 - 1. assign V130408 = V525455 + 1. assign V863482 = V838497. assign V764672 = V243295. assign V838968 = V279502. assign V413889 = V058094 - 1. assign V996499 = V973424 - 1. assign V623149 = V096243 + 1. assign V858503 = V995520 + 1. assign V995520 = V399464. assign V794185 = V442948 + 1. assign V217445 = V334773. assign V961269 = V494291 + 1. assign V643200 = V884829 + 1. assign V609653 = V413815 - 1. assign V779732 = V379387. assign V157050 = V535336 - 1. assign V720049 = V471990. assign V853631 = V045883. assign V317401 = V629326 + 1. assign V921249 = V886557. assign V379387 = V643200 + 1. assign V310946 = V996499 + 1. assign V650788 = V243295 - 1. assign V687502 = V650788 - 1. assign V025157 = V369142 - 1. assign V537073 = V350473 + 1. assign V062548 = V741772 - 1. assign V058094 = V296763 - 1. assign V096243 = V884829. assign V119453 = V873089 - 1. assign V305997 = V096243 - 1. assign V499154 = V643200 - 1. assign V487600 = V271025 - 1. assign V620357 = V413815. assign V552413 = V187303. assign V629326 = V886557. assign V022471 = V350473 - 1. assign V177414 = V804326 - 1. assign V399464 = V728474. assign V693378 = V537073 - 1. assign V168402 = V378403 + 1. assign V108800 = V312416 - 1. assign V537291 = V378403 - 1. assign V249362 = V897421 + 1. assign V566292 = V014752. assign V294129 = V132953. assign V311623 = V288482 + 1. assign V915417 = V781755 - 1. assign V573780 = V525455 + 1. assign V295133 = V350473. assign V647336 = V764672. assign V369142 = V378403 - 1. assign V388203 = V609653 + 1. assign V331053 = V858503 + 1. assign V187688 = V211522 - 1. assign V724449 = V647336. assign V790848 = V334773 + 1. assign V266444 = V611793 + 1. assign V776124 = 5. assign V434123 = V961269 + 1. assign V381082 = V243295 - 1. assign V981817 = V611793 - 1. assign V485522 = V381082 + 1. assign V662701 = V687502. assign V016376 = V557490 + 1. assign V442948 = V119453 + 1. assign V826979 = V884829 - 1. assign V211522 = V379387. assign V958623 = V537291 + 1. assign V356289 = V886557. assign V023932 = V168402 + 1. assign V279502 = V187303. assign V611793 = V826979. assign V552286 = V239800. assign V733004 = V104034. assign V486375 = V647336 - 1. assign V859948 = V132953 + 1. assign V780411 = V764672 - 1. assign V187303 = V649025 - 1. assign V781755 = V266444 - 1. assign V170342 = V720049 - 1. assign V519953 = V334773 - 1. assign V343046 = V168025. assign V132953 = V649025 - 1. assign V066830 = V973424. assign V104034 = V296763. assign V663940 = V770727 + 1. assign V535336 = V173222 + 1. assign V197097 = V187303. assign V804326 = V058094. assign V884829 = V770727 + 1. assign V021431 = V764672. assign V002996 = V378403 + 1. assign V865813 = V741772 - 1. assign V014752 = V399464 - 1. assign V428163 = V434123 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V471990 = V973424 + 1. assign V296763 = V537291. assign V706839 = V873089 - 1. assign V497932 = V770727 + 1. assign V728474 = V884829. assign V812109 = V271025 - 1. assign V390028 = V566292 - 1. assign V460500 = V981817 - 1. assign V761451 = V266444 - 1. assign V855192 = V312416 - 1. assign V660463 = V566292. assign V845351 = V728474 + 1. assign V525455 = V925954 - 1. assign V375204 = V552413. assign V000380 = V838968 + 1. assign V973424 = V770727 - 1. assign V334773 = V873089. assign V445914 = V328913. assign V955513 = V486375 - 1. assign V045883 = V884829. assign V413815 = V187303 - 1. assign V312416 = V369142 + 1. assign V168025 = V289876. assign V190723 = V764672 + 1. assign V302372 = V494291 - 1. assign V494291 = V249362 - 1. assign V925954 = V981817 - 1. assign V042509 = V678373 + 1. assign V897421 = V884829. assign V502799 = V973424 - 1. assign V514883 = V243295. assign V351704 = V243295. assign V428896 = V663940 - 1. assign V027673 = V334773 + 1. assign V189681 = V656053 - 1. assign V482818 = V189681. assign V745338 = V884829. assign V221965 = V066830. assign V275050 = V859948 - 1. assign V494541 = V776124. assign V073796 = V014752 + 1. assign V350473 = V066830 + 1. assign V746036 = V396249 - 1. assign V782010 = V780411. assign V741772 = V187303 + 1. assign V239800 = V243295. assign V591950 = V288482 + 1. assign V414598 = V497932 - 1. assign V378403 = V643200. assign V789404 = V620357 - 1. assign V557490 = V058094. assign V271025 = V963902 + 1. assign V363989 = V971044 - 1. assign V328913 = V350473. assign V365504 = V838968 + 1. assign V770727 = V886557 + 1. assign V886557 = V243295 - 1. assign V289876 = V650788 - 1. assign V649025 = V328913. assign V173222 = V471990. assign V678373 = V442948. assign V396249 = V356289 + 1. assign V028875 = V566292. assign V873089 = V243295 - 1. assign V147235 = V442948 + 1. assign V656053 = V886557 - 1. assign V838497 = V243295 - 1. assign V477247 = V858503 + 1. assign V970560 = V343046 - 1. assign V288482 = V728474 - 1. assign V270689 = V650788 + 1. assign V815696 = V296763. assign V971044 = V897421. assign V129130 = V537291. assign V963902 = V211522 - 1. assign V234908 = V963902 - 1. assign V130408 = V525455 + 1. assign V863482 = V838497. assign V764672 = V243295. assign V838968 = V279502. assign V413889 = V058094 - 1. assign V996499 = V973424 - 1. assign V623149 = V096243 + 1. assign V858503 = V995520 + 1. assign V995520 = V399464. assign V794185 = V442948 + 1. assign V217445 = V334773. assign V961269 = V494291 + 1. assign V643200 = V884829 + 1. assign V609653 = V413815 - 1. assign V779732 = V379387. assign V157050 = V535336 - 1. assign V720049 = V471990. assign V853631 = V045883. assign V317401 = V629326 + 1. assign V921249 = V886557. assign V379387 = V643200 + 1. assign V310946 = V996499 + 1. assign V650788 = V243295 - 1. assign V687502 = V650788 - 1. assign V025157 = V369142 - 1. assign V537073 = V350473 + 1. assign V062548 = V741772 - 1. assign V058094 = V296763 - 1. assign V096243 = V884829. assign V119453 = V873089 - 1. assign V305997 = V096243 - 1. assign V499154 = V643200 - 1. assign V487600 = V271025 - 1. assign V620357 = V413815. assign V552413 = V187303. assign V629326 = V886557. assign V022471 = V350473 - 1. assign V177414 = V804326 - 1. assign V399464 = V728474. assign V693378 = V537073 - 1. assign V168402 = V378403 + 1. assign V108800 = V312416 - 1. assign V537291 = V378403 - 1. assign V249362 = V897421 + 1. assign V566292 = V014752. assign V294129 = V132953. assign V311623 = V288482 + 1. assign V915417 = V781755 - 1. assign V573780 = V525455 + 1. assign V295133 = V350473. assign V647336 = V764672. assign V369142 = V378403 - 1. assign V388203 = V609653 + 1. assign V331053 = V858503 + 1. assign V187688 = V211522 - 1. assign V724449 = V647336. assign V790848 = V334773 + 1. assign V266444 = V611793 + 1. assign V776124 = 5. assign V434123 = V961269 + 1. assign V381082 = V243295 - 1. assign V981817 = V611793 - 1. assign V485522 = V381082 + 1. assign V662701 = V687502. assign V016376 = V557490 + 1. assign V442948 = V119453 + 1. assign V826979 = V884829 - 1. assign V211522 = V379387. assign V958623 = V537291 + 1. assign V356289 = V886557. assign V023932 = V168402 + 1. assign V279502 = V187303. assign V611793 = V826979. assign V552286 = V239800. assign V733004 = V104034. assign V486375 = V647336 - 1. assign V859948 = V132953 + 1. assign V780411 = V764672 - 1. assign V187303 = V649025 - 1. assign V781755 = V266444 - 1. assign V170342 = V720049 - 1. assign V519953 = V334773 - 1. assign V343046 = V168025. assign V132953 = V649025 - 1. assign V066830 = V973424. assign V104034 = V296763. assign V663940 = V770727 + 1. assign V535336 = V173222 + 1. assign V197097 = V187303. assign V804326 = V058094. assign V884829 = V770727 + 1. assign V021431 = V764672. assign V002996 = V378403 + 1. assign V865813 = V741772 - 1. assign V014752 = V399464 - 1. assign V428163 = V434123 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV776124 = 5;\n\nFrom these direct assignment(s), we have: \nV494541 = V776124 = 5;\nNo other variables can be derived from V494541;\nNo other variables can be derived from V776124;\n\nNow we have done all the calculations. Derived variables are:\nV776124 = 5;\nV494541 = 5;\n\nNow we have finished this problem. ANSWER:\nV776124, V494541\n", "role": "assistant" } ]

[ "V339110" ]

[ { "content": "<context>\nassign V200739 = V385166. assign V697924 = V320743 - 1. assign V030459 = V205447 + 1. assign V326739 = V949298 + 1. assign V086210 = V063274 + 1. assign V964311 = V024016. assign V318580 = V155146. assign V710682 = V935780 + 1. assign V339110 = V462507 + 1. assign V385028 = V159834. assign V626715 = V720537. assign V777932 = V771825 + 1. assign V337609 = V338568 + 1. assign V917045 = V884749 - 1. assign V714652 = V444686. assign V621631 = V949298 - 1. assign V356890 = V205447 - 1. assign V214632 = V159279. assign V683110 = V184653. assign V847840 = V017021. assign V159834 = V904863 - 1. assign V039342 = V057749 - 1. assign V218082 = V077300 - 1. assign V088716 = V209679 - 1. assign V252946 = V538638. assign V467110 = V117052 - 1. assign V143660 = V874920 + 1. assign V313749 = V814853. assign V791990 = V457903 - 1. assign V652062 = V155146 - 1. assign V774119 = V954378 + 1. assign V562841 = V733939. assign V891766 = V569732 + 1. assign V041417 = V814853 + 1. assign V761003 = V626715 + 1. assign V198595 = V351458. assign V385166 = V205447 - 1. assign V093897 = V159834 - 1. assign V057749 = V326100 + 1. assign V659612 = V670249. assign V011032 = V884749 + 1. assign V205500 = V160169. assign V457903 = V338568. assign V444686 = V774119. assign V874920 = V025354. assign V545237 = V904305. assign V466646 = V209679. assign V326100 = V647377. assign V063294 = V200739. assign V449326 = V177968 - 1. assign V338568 = V326100. assign V810689 = V683110 - 1. assign V957309 = V871292. assign V880351 = V177968 - 1. assign V949298 = V258876. assign V466613 = V337609 + 1. assign V954378 = V338568 - 1. assign V124985 = V424873. assign V037228 = V660851. assign V716128 = V590337. assign V647377 = V205447 - 1. assign V670249 = V205447 - 1. assign V871292 = V771825. assign V452243 = V457903 - 1. assign V675255 = V424873 - 1. assign V180248 = V879816. assign V018563 = V452243 + 1. assign V692667 = V891766 - 1. assign V409642 = V859447 + 1. assign V074270 = V777932 - 1. assign V538638 = V647377 + 1. assign V681121 = V018563. assign V274851 = V160169. assign V771825 = V590337. assign V708651 = V117052 - 1. assign V796910 = V548293 - 1. assign V913871 = V385166 + 1. assign V742751 = V209679 + 1. assign V814853 = V647377 + 1. assign V603324 = V670249 - 1. assign V569732 = V858321. assign V904305 = V337609 - 1. assign V122071 = V814853 + 1. assign V858321 = V160169 + 1. assign V990411 = V659612 - 1. assign V451937 = V659612 - 1. assign V096385 = V424873 - 1. assign V980278 = V155146 - 1. assign V543323 = V326100 + 1. assign V351458 = V548112 + 1. assign V000602 = V242182 - 1. assign V848610 = V258876 + 1. assign V160169 = V117052. assign V872598 = V143660 + 1. assign V323882 = V603324. assign V182691 = V274851. assign V942121 = V063274. assign V024016 = V385166 + 1. assign V548293 = V590337. assign V904863 = V209679 + 1. assign V077300 = V424873. assign V888467 = V708651. assign V590337 = V814853 + 1. assign V620132 = V814853 - 1. assign V554875 = V117052 - 1. assign V184653 = V620132 + 1. assign V059003 = V122071 - 1. assign V177968 = V338568. assign V026478 = V218082 + 1. assign V400506 = V452243. assign V320743 = V858321 - 1. assign V003050 = V326100 + 1. assign V175308 = V182691. assign V539693 = V017021 - 1. assign V730571 = V159834. assign V514318 = V772665 - 1. assign V877742 = V514318. assign V463871 = V980278. assign V884749 = V626715. assign V795195 = V708651. assign V969540 = V385166 + 1. assign V048576 = V159279. assign V058771 = V481103 + 1. assign V859447 = V124985 + 1. assign V935780 = V424873 + 1. assign V720537 = V096385 + 1. assign V374104 = V554875 + 1. assign V822443 = V980278 - 1. assign V085914 = V590337 + 1. assign V424873 = V338568 + 1. assign V660851 = V620132 - 1. assign V188167 = V854649. assign V854649 = V057749 - 1. assign V514257 = V848610. assign V777358 = V957309 - 1. assign V258876 = V457903 - 1. assign V017021 = V538638. assign V462507 = 5. assign V879816 = V338568 + 1. assign V522427 = V949298 + 1. assign V003546 = V980278. assign V481103 = V777932 + 1. assign V255608 = V954378 - 1. assign V779773 = V077300. assign V011174 = V796910. assign V063274 = V374104 - 1. assign V572684 = V733939 + 1. assign V411562 = V337609 + 1. assign V049083 = V200739 - 1. assign V017212 = V548112 - 1. assign V248215 = V175308 - 1. assign V772665 = V205500 - 1. assign V848198 = V990411 - 1. assign V242182 = V647377. assign V733939 = V096385 + 1. assign V834929 = V030459 - 1. assign V444250 = V182691 + 1. assign V166342 = V409642 - 1. assign V117052 = V326100 + 1. assign V209679 = V155146. assign V958764 = V554875. assign V025354 = V935780 + 1. assign V712744 = V538638. assign V205447 = V209679 - 1. assign V690865 = V710682 + 1. assign V548112 = V242182 - 1. assign V982006 = V969540. assign V660149 = V670249 - 1. assign V496537 = V182691 + 1. assign V321414 = V814853 + 1. assign V159279 = V496537 + 1. assign V798481 = V720537 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V200739 = V385166. assign V697924 = V320743 - 1. assign V030459 = V205447 + 1. assign V326739 = V949298 + 1. assign V086210 = V063274 + 1. assign V964311 = V024016. assign V318580 = V155146. assign V710682 = V935780 + 1. assign V339110 = V462507 + 1. assign V385028 = V159834. assign V626715 = V720537. assign V777932 = V771825 + 1. assign V337609 = V338568 + 1. assign V917045 = V884749 - 1. assign V714652 = V444686. assign V621631 = V949298 - 1. assign V356890 = V205447 - 1. assign V214632 = V159279. assign V683110 = V184653. assign V847840 = V017021. assign V159834 = V904863 - 1. assign V039342 = V057749 - 1. assign V218082 = V077300 - 1. assign V088716 = V209679 - 1. assign V252946 = V538638. assign V467110 = V117052 - 1. assign V143660 = V874920 + 1. assign V313749 = V814853. assign V791990 = V457903 - 1. assign V652062 = V155146 - 1. assign V774119 = V954378 + 1. assign V562841 = V733939. assign V891766 = V569732 + 1. assign V041417 = V814853 + 1. assign V761003 = V626715 + 1. assign V198595 = V351458. assign V385166 = V205447 - 1. assign V093897 = V159834 - 1. assign V057749 = V326100 + 1. assign V659612 = V670249. assign V011032 = V884749 + 1. assign V205500 = V160169. assign V457903 = V338568. assign V444686 = V774119. assign V874920 = V025354. assign V545237 = V904305. assign V466646 = V209679. assign V326100 = V647377. assign V063294 = V200739. assign V449326 = V177968 - 1. assign V338568 = V326100. assign V810689 = V683110 - 1. assign V957309 = V871292. assign V880351 = V177968 - 1. assign V949298 = V258876. assign V466613 = V337609 + 1. assign V954378 = V338568 - 1. assign V124985 = V424873. assign V037228 = V660851. assign V716128 = V590337. assign V647377 = V205447 - 1. assign V670249 = V205447 - 1. assign V871292 = V771825. assign V452243 = V457903 - 1. assign V675255 = V424873 - 1. assign V180248 = V879816. assign V018563 = V452243 + 1. assign V692667 = V891766 - 1. assign V409642 = V859447 + 1. assign V074270 = V777932 - 1. assign V538638 = V647377 + 1. assign V681121 = V018563. assign V274851 = V160169. assign V771825 = V590337. assign V708651 = V117052 - 1. assign V796910 = V548293 - 1. assign V913871 = V385166 + 1. assign V742751 = V209679 + 1. assign V814853 = V647377 + 1. assign V603324 = V670249 - 1. assign V569732 = V858321. assign V904305 = V337609 - 1. assign V122071 = V814853 + 1. assign V858321 = V160169 + 1. assign V990411 = V659612 - 1. assign V451937 = V659612 - 1. assign V096385 = V424873 - 1. assign V980278 = V155146 - 1. assign V543323 = V326100 + 1. assign V351458 = V548112 + 1. assign V000602 = V242182 - 1. assign V848610 = V258876 + 1. assign V160169 = V117052. assign V872598 = V143660 + 1. assign V323882 = V603324. assign V182691 = V274851. assign V942121 = V063274. assign V024016 = V385166 + 1. assign V548293 = V590337. assign V904863 = V209679 + 1. assign V077300 = V424873. assign V888467 = V708651. assign V590337 = V814853 + 1. assign V620132 = V814853 - 1. assign V554875 = V117052 - 1. assign V184653 = V620132 + 1. assign V059003 = V122071 - 1. assign V177968 = V338568. assign V026478 = V218082 + 1. assign V400506 = V452243. assign V320743 = V858321 - 1. assign V003050 = V326100 + 1. assign V175308 = V182691. assign V539693 = V017021 - 1. assign V730571 = V159834. assign V514318 = V772665 - 1. assign V877742 = V514318. assign V463871 = V980278. assign V884749 = V626715. assign V795195 = V708651. assign V969540 = V385166 + 1. assign V048576 = V159279. assign V058771 = V481103 + 1. assign V859447 = V124985 + 1. assign V935780 = V424873 + 1. assign V720537 = V096385 + 1. assign V374104 = V554875 + 1. assign V822443 = V980278 - 1. assign V085914 = V590337 + 1. assign V424873 = V338568 + 1. assign V660851 = V620132 - 1. assign V188167 = V854649. assign V854649 = V057749 - 1. assign V514257 = V848610. assign V777358 = V957309 - 1. assign V258876 = V457903 - 1. assign V017021 = V538638. assign V462507 = 5. assign V879816 = V338568 + 1. assign V522427 = V949298 + 1. assign V003546 = V980278. assign V481103 = V777932 + 1. assign V255608 = V954378 - 1. assign V779773 = V077300. assign V011174 = V796910. assign V063274 = V374104 - 1. assign V572684 = V733939 + 1. assign V411562 = V337609 + 1. assign V049083 = V200739 - 1. assign V017212 = V548112 - 1. assign V248215 = V175308 - 1. assign V772665 = V205500 - 1. assign V848198 = V990411 - 1. assign V242182 = V647377. assign V733939 = V096385 + 1. assign V834929 = V030459 - 1. assign V444250 = V182691 + 1. assign V166342 = V409642 - 1. assign V117052 = V326100 + 1. assign V209679 = V155146. assign V958764 = V554875. assign V025354 = V935780 + 1. assign V712744 = V538638. assign V205447 = V209679 - 1. assign V690865 = V710682 + 1. assign V548112 = V242182 - 1. assign V982006 = V969540. assign V660149 = V670249 - 1. assign V496537 = V182691 + 1. assign V321414 = V814853 + 1. assign V159279 = V496537 + 1. assign V798481 = V720537 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV462507 = 5;\n\nFrom these direct assignment(s), we have: \nV339110 = V462507 + 1 = 5 + 1 =6;\nNo other variables can be derived from V339110;\nNo other variables can be derived from V462507;\n\nNow we have done all the calculations. Derived variables are:\nV462507 = 5;\nV339110 = 6;\n\nNow we have finished this problem. ANSWER:\nV339110\n", "role": "assistant" } ]

[ "V059776" ]

[ { "content": "<context>\nassign V662276 = V852234 - 1. assign V603460 = V605786 + 1. assign V756510 = V572070 + 1. assign V099316 = V257640 + 1. assign V987514 = V583198. assign V311563 = V878889 + 1. assign V066376 = V878889 - 1. assign V462483 = V990611. assign V778089 = V111532 + 1. assign V201386 = V264303 - 1. assign V949401 = V170078. assign V111532 = V789120. assign V636411 = V572070 - 1. assign V491558 = V087965 - 1. assign V037605 = V762010 - 1. assign V572462 = V309848 - 1. assign V607493 = V438873 - 1. assign V045521 = V614804 - 1. assign V235092 = V583198. assign V781258 = V917865 - 1. assign V969389 = V849935 - 1. assign V342428 = V718367 + 1. assign V546880 = V789120 - 1. assign V915912 = V913964. assign V771285 = V462483. assign V874796 = V309848 - 1. assign V134183 = V450851. assign V239168 = V462483 + 1. assign V336094 = V438873 - 1. assign V125064 = V150612 + 1. assign V489137 = V583198 - 1. assign V796880 = V635429 - 1. assign V728155 = V480837. assign V357953 = V442660 + 1. assign V851341 = V311563 - 1. assign V486826 = V519914. assign V243429 = V254625 + 1. assign V205434 = V377105 - 1. assign V857281 = V555230 + 1. assign V723385 = V134540 + 1. assign V885500 = V438873. assign V186750 = V852234 - 1. assign V803194 = V260584 - 1. assign V601697 = V867450. assign V664151 = V170078 + 1. assign V852234 = V849935 - 1. assign V059776 = V071912 - 1. assign V308852 = V885500 - 1. assign V174693 = V413616. assign V019715 = V100812. assign V059892 = V297356. assign V525781 = V438873 - 1. assign V762010 = V489137 + 1. assign V167671 = V486826 + 1. assign V907743 = V799461 + 1. assign V917865 = V100812 + 1. assign V583198 = V743870 - 1. assign V553284 = V743870. assign V943124 = V867450 + 1. assign V779624 = V528262 + 1. assign V088372 = V297356. assign V260584 = V243429 - 1. assign V953248 = V614804 - 1. assign V873852 = V297356. assign V201729 = V693366 - 1. assign V291621 = V635429. assign V642869 = V953248 + 1. assign V983600 = V789120 + 1. assign V636470 = V874796 - 1. assign V036870 = V635429 - 1. assign V709109 = V519914 - 1. assign V004578 = V748847. assign V179939 = V537223 + 1. assign V701641 = V413616 - 1. assign V069941 = V885500 - 1. assign V382016 = V357953 + 1. assign V015119 = V789120 + 1. assign V734854 = V245258. assign V466961 = V664151 + 1. assign V413616 = V618723. assign V239385 = V878889 + 1. assign V010258 = V852234 + 1. assign V257640 = V789120 - 1. assign V826155 = V245258 - 1. assign V539050 = V636411. assign V618723 = V100812 + 1. assign V266196 = V309848. assign V892391 = V605786 + 1. assign V590124 = V756510 + 1. assign V632611 = V257640. assign V402932 = V519914 + 1. assign V531289 = V572051. assign V693366 = V513198. assign V748847 = V852234 - 1. assign V832846 = V917865 - 1. assign V175179 = V537223. assign V198981 = V701641. assign V208885 = V867450. assign V572051 = V311563 + 1. assign V619210 = V134540 + 1. assign V799461 = V949401 - 1. assign V634638 = V743870. assign V519914 = V572070 - 1. assign V328593 = V175179. assign V827574 = V987514. assign V513198 = V709109 + 1. assign V913964 = V170078. assign V572070 = V635429 - 1. assign V243887 = V897829 - 1. assign V718367 = V118096 + 1. assign V087965 = V796880. assign V410099 = V474362. assign V283582 = V913964. assign V716277 = V636470. assign V377105 = V709109. assign V300115 = V572462 - 1. assign V390997 = V187575. assign V071912 = 10. assign V990611 = V878889 - 1. assign V180026 = V291621 - 1. assign V878276 = V045521 - 1. assign V838349 = V150612 - 1. assign V012781 = V170078 - 1. assign V259995 = V015119 + 1. assign V169638 = V614804 + 1. assign V269324 = V949401 + 1. assign V031063 = V748847. assign V077193 = V015119 + 1. assign V134540 = V709109 + 1. assign V528262 = V987514 - 1. assign V789120 = V187575 - 1. assign V309848 = V498298. assign V605786 = V466961. assign V297356 = V572462. assign V438873 = V635429 + 1. assign V498298 = V990611 - 1. assign V878889 = V187575. assign V254625 = V789120 - 1. assign V471498 = V664151 + 1. assign V555230 = V799461. assign V480837 = V799461 + 1. assign V475597 = V462483 - 1. assign V867450 = V045521 + 1. assign V614804 = V789120 - 1. assign V178210 = V740810. assign V891481 = V605786. assign V100812 = V878889 - 1. assign V150612 = V245258. assign V170078 = V635429 + 1. assign V937835 = V254625 + 1. assign V474362 = V187575 + 1. assign V256256 = V205434. assign V187575 = V635429 + 1. assign V354025 = V983600 + 1. assign V743870 = V878889. assign V897829 = V047147. assign V445947 = V891481. assign V858792 = V257640. assign V245258 = V519914. assign V047147 = V259995 - 1. assign V537223 = V170078 + 1. assign V450851 = V937835. assign V118096 = V243429. assign V264303 = V486826 + 1. assign V442660 = V618723. assign V812431 = V891481 - 1. assign V849935 = V789120 + 1. assign V786694 = V607493 + 1. assign V273482 = V740810 + 1. assign V515315 = V734854 + 1. assign V739664 = V852234. assign V740810 = V546880.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V662276 = V852234 - 1. assign V603460 = V605786 + 1. assign V756510 = V572070 + 1. assign V099316 = V257640 + 1. assign V987514 = V583198. assign V311563 = V878889 + 1. assign V066376 = V878889 - 1. assign V462483 = V990611. assign V778089 = V111532 + 1. assign V201386 = V264303 - 1. assign V949401 = V170078. assign V111532 = V789120. assign V636411 = V572070 - 1. assign V491558 = V087965 - 1. assign V037605 = V762010 - 1. assign V572462 = V309848 - 1. assign V607493 = V438873 - 1. assign V045521 = V614804 - 1. assign V235092 = V583198. assign V781258 = V917865 - 1. assign V969389 = V849935 - 1. assign V342428 = V718367 + 1. assign V546880 = V789120 - 1. assign V915912 = V913964. assign V771285 = V462483. assign V874796 = V309848 - 1. assign V134183 = V450851. assign V239168 = V462483 + 1. assign V336094 = V438873 - 1. assign V125064 = V150612 + 1. assign V489137 = V583198 - 1. assign V796880 = V635429 - 1. assign V728155 = V480837. assign V357953 = V442660 + 1. assign V851341 = V311563 - 1. assign V486826 = V519914. assign V243429 = V254625 + 1. assign V205434 = V377105 - 1. assign V857281 = V555230 + 1. assign V723385 = V134540 + 1. assign V885500 = V438873. assign V186750 = V852234 - 1. assign V803194 = V260584 - 1. assign V601697 = V867450. assign V664151 = V170078 + 1. assign V852234 = V849935 - 1. assign V059776 = V071912 - 1. assign V308852 = V885500 - 1. assign V174693 = V413616. assign V019715 = V100812. assign V059892 = V297356. assign V525781 = V438873 - 1. assign V762010 = V489137 + 1. assign V167671 = V486826 + 1. assign V907743 = V799461 + 1. assign V917865 = V100812 + 1. assign V583198 = V743870 - 1. assign V553284 = V743870. assign V943124 = V867450 + 1. assign V779624 = V528262 + 1. assign V088372 = V297356. assign V260584 = V243429 - 1. assign V953248 = V614804 - 1. assign V873852 = V297356. assign V201729 = V693366 - 1. assign V291621 = V635429. assign V642869 = V953248 + 1. assign V983600 = V789120 + 1. assign V636470 = V874796 - 1. assign V036870 = V635429 - 1. assign V709109 = V519914 - 1. assign V004578 = V748847. assign V179939 = V537223 + 1. assign V701641 = V413616 - 1. assign V069941 = V885500 - 1. assign V382016 = V357953 + 1. assign V015119 = V789120 + 1. assign V734854 = V245258. assign V466961 = V664151 + 1. assign V413616 = V618723. assign V239385 = V878889 + 1. assign V010258 = V852234 + 1. assign V257640 = V789120 - 1. assign V826155 = V245258 - 1. assign V539050 = V636411. assign V618723 = V100812 + 1. assign V266196 = V309848. assign V892391 = V605786 + 1. assign V590124 = V756510 + 1. assign V632611 = V257640. assign V402932 = V519914 + 1. assign V531289 = V572051. assign V693366 = V513198. assign V748847 = V852234 - 1. assign V832846 = V917865 - 1. assign V175179 = V537223. assign V198981 = V701641. assign V208885 = V867450. assign V572051 = V311563 + 1. assign V619210 = V134540 + 1. assign V799461 = V949401 - 1. assign V634638 = V743870. assign V519914 = V572070 - 1. assign V328593 = V175179. assign V827574 = V987514. assign V513198 = V709109 + 1. assign V913964 = V170078. assign V572070 = V635429 - 1. assign V243887 = V897829 - 1. assign V718367 = V118096 + 1. assign V087965 = V796880. assign V410099 = V474362. assign V283582 = V913964. assign V716277 = V636470. assign V377105 = V709109. assign V300115 = V572462 - 1. assign V390997 = V187575. assign V071912 = 10. assign V990611 = V878889 - 1. assign V180026 = V291621 - 1. assign V878276 = V045521 - 1. assign V838349 = V150612 - 1. assign V012781 = V170078 - 1. assign V259995 = V015119 + 1. assign V169638 = V614804 + 1. assign V269324 = V949401 + 1. assign V031063 = V748847. assign V077193 = V015119 + 1. assign V134540 = V709109 + 1. assign V528262 = V987514 - 1. assign V789120 = V187575 - 1. assign V309848 = V498298. assign V605786 = V466961. assign V297356 = V572462. assign V438873 = V635429 + 1. assign V498298 = V990611 - 1. assign V878889 = V187575. assign V254625 = V789120 - 1. assign V471498 = V664151 + 1. assign V555230 = V799461. assign V480837 = V799461 + 1. assign V475597 = V462483 - 1. assign V867450 = V045521 + 1. assign V614804 = V789120 - 1. assign V178210 = V740810. assign V891481 = V605786. assign V100812 = V878889 - 1. assign V150612 = V245258. assign V170078 = V635429 + 1. assign V937835 = V254625 + 1. assign V474362 = V187575 + 1. assign V256256 = V205434. assign V187575 = V635429 + 1. assign V354025 = V983600 + 1. assign V743870 = V878889. assign V897829 = V047147. assign V445947 = V891481. assign V858792 = V257640. assign V245258 = V519914. assign V047147 = V259995 - 1. assign V537223 = V170078 + 1. assign V450851 = V937835. assign V118096 = V243429. assign V264303 = V486826 + 1. assign V442660 = V618723. assign V812431 = V891481 - 1. assign V849935 = V789120 + 1. assign V786694 = V607493 + 1. assign V273482 = V740810 + 1. assign V515315 = V734854 + 1. assign V739664 = V852234. assign V740810 = V546880.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV071912 = 10;\n\nFrom these direct assignment(s), we have: \nV059776 = V071912 - 1 = 10 - 1 =9;\nNo other variables can be derived from V059776;\nNo other variables can be derived from V071912;\n\nNow we have done all the calculations. Derived variables are:\nV071912 = 10;\nV059776 = 9;\n\nNow we have finished this problem. ANSWER:\nV059776\n", "role": "assistant" } ]

[ "V536460" ]

[ { "content": "<context>\nassign V203626 = V031295. assign V031295 = V549431 - 1. assign V965679 = V714077. assign V288043 = V549431 + 1. assign V926752 = V077421. assign V730259 = V734652. assign V719162 = V141849 + 1. assign V397889 = V609650 - 1. assign V712369 = V203626 + 1. assign V542096 = V219988 - 1. assign V536460 = V789199 + 1. assign V507347 = V233744 - 1. assign V398777 = V714077. assign V525649 = V328821. assign V041914 = V141849. assign V858667 = V847137 + 1. assign V016626 = V141849. assign V922766 = V439909 - 1. assign V856849 = V141849. assign V317581 = V330164 - 1. assign V106781 = V633211. assign V201572 = V956537 + 1. assign V632539 = V150798. assign V761573 = V387149 - 1. assign V797798 = V761573. assign V764783 = V219988. assign V545202 = V642298 + 1. assign V442412 = V538726 + 1. assign V461441 = V538726. assign V371387 = V978295 - 1. assign V151777 = V725759. assign V588516 = V817266 + 1. assign V956537 = V667574 + 1. assign V150527 = V189953 + 1. assign V442893 = V545202. assign V951506 = V769702 - 1. assign V008597 = V640633. assign V237024 = V150527. assign V877994 = V317581 + 1. assign V581430 = V951506 + 1. assign V721811 = V803777 - 1. assign V233744 = V635558. assign V804920 = V667574 - 1. assign V489239 = V714077. assign V228972 = V609650. assign V773962 = V101932 - 1. assign V640633 = V455812. assign V415646 = V219151 + 1. assign V774353 = V215867. assign V219988 = V150798 + 1. assign V091103 = V512642. assign V941013 = V016626 + 1. assign V243812 = V640633. assign V633211 = V219988 - 1. assign V163258 = V734652 - 1. assign V116873 = V391489. assign V819373 = V435366 - 1. assign V648631 = V633211 + 1. assign V439909 = V578351. assign V248365 = V584631 - 1. assign V739632 = V141849. assign V817266 = V609650 - 1. assign V538726 = V401056 - 1. assign V435366 = V512642. assign V067433 = V939725. assign V978295 = V773606 - 1. assign V096785 = V228972 - 1. assign V102480 = V163258 - 1. assign V591829 = V089695 + 1. assign V463369 = V016626. assign V276456 = V031295. assign V961836 = V195976 + 1. assign V676979 = V797798. assign V336960 = V375109 + 1. assign V936533 = V401056 - 1. assign V391489 = V251045. assign V189953 = V779222 - 1. assign V214115 = V856849. assign V612350 = V489239 + 1. assign V694705 = V288043. assign V409449 = V978295 + 1. assign V734652 = V215867. assign V789199 = 8. assign V387149 = V792259 + 1. assign V493516 = V214115 + 1. assign V248167 = V096785 + 1. assign V522948 = V219988 - 1. assign V535327 = V150798 + 1. assign V330164 = V779222 - 1. assign V148897 = V455812. assign V077421 = V375109 + 1. assign V393218 = V464317 - 1. assign V806362 = V101932. assign V602164 = V387149 - 1. assign V497253 = V956537. assign V642298 = V538726 - 1. assign V330600 = V797798 + 1. assign V375109 = V150798 + 1. assign V946431 = V641588 - 1. assign V783214 = V792259. assign V328821 = V219151 - 1. assign V555271 = V764783 + 1. assign V276226 = V497253 + 1. assign V807840 = V150527 + 1. assign V578351 = V215867 + 1. assign V549431 = V150798 + 1. assign V667574 = V215867 + 1. assign V401056 = V375109 - 1. assign V267063 = V725759 - 1. assign V847137 = V549431 + 1. assign V305701 = V792259 - 1. assign V832833 = V641588. assign V769702 = V667574. assign V656632 = V148897. assign V641588 = V734652 - 1. assign V141849 = V375109 + 1. assign V064931 = V203626. assign V773606 = V375109 - 1. assign V187611 = V817266 + 1. assign V554100 = V391489. assign V261258 = V779222. assign V854696 = V640633. assign V464317 = V659004 + 1. assign V779222 = V150798. assign V273474 = V609650. assign V362328 = V101932 + 1. assign V303593 = V584631 + 1. assign V814902 = V803777. assign V219151 = V549431. assign V592454 = V632427. assign V195976 = V641588 - 1. assign V190810 = V792259 + 1. assign V288439 = V156798 + 1. assign V122780 = V409449 + 1. assign V220237 = V725759 - 1. assign V901143 = V151777 - 1. assign V251045 = V773606. assign V577748 = V734652 + 1. assign V215867 = V779222 - 1. assign V133294 = V375109 + 1. assign V757745 = V592454 + 1. assign V803777 = V398777. assign V089695 = V520921 - 1. assign V890700 = V008597. assign V939725 = V856849 - 1. assign V133902 = V397889 + 1. assign V605121 = V398777. assign V584631 = V219988 - 1. assign V784521 = V163258. assign V520921 = V719162 - 1. assign V393279 = V856849. assign V240877 = V620510 + 1. assign V156798 = V387149. assign V515585 = V554100. assign V635558 = V336960 + 1. assign V512642 = V305701 + 1. assign V351183 = V792259 + 1. assign V609650 = V779222. assign V632427 = V190810 - 1. assign V792259 = V150798 + 1. assign V491540 = V591829. assign V455812 = V464317. assign V698818 = V464317. assign V769010 = V761573 + 1. assign V725759 = V578351 - 1. assign V209891 = V455812. assign V620510 = V398777 + 1. assign V257909 = V819373 - 1. assign V659004 = V228972 + 1. assign V101932 = V792259 - 1. assign V714077 = V375109. assign V926420 = V317581 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V203626 = V031295. assign V031295 = V549431 - 1. assign V965679 = V714077. assign V288043 = V549431 + 1. assign V926752 = V077421. assign V730259 = V734652. assign V719162 = V141849 + 1. assign V397889 = V609650 - 1. assign V712369 = V203626 + 1. assign V542096 = V219988 - 1. assign V536460 = V789199 + 1. assign V507347 = V233744 - 1. assign V398777 = V714077. assign V525649 = V328821. assign V041914 = V141849. assign V858667 = V847137 + 1. assign V016626 = V141849. assign V922766 = V439909 - 1. assign V856849 = V141849. assign V317581 = V330164 - 1. assign V106781 = V633211. assign V201572 = V956537 + 1. assign V632539 = V150798. assign V761573 = V387149 - 1. assign V797798 = V761573. assign V764783 = V219988. assign V545202 = V642298 + 1. assign V442412 = V538726 + 1. assign V461441 = V538726. assign V371387 = V978295 - 1. assign V151777 = V725759. assign V588516 = V817266 + 1. assign V956537 = V667574 + 1. assign V150527 = V189953 + 1. assign V442893 = V545202. assign V951506 = V769702 - 1. assign V008597 = V640633. assign V237024 = V150527. assign V877994 = V317581 + 1. assign V581430 = V951506 + 1. assign V721811 = V803777 - 1. assign V233744 = V635558. assign V804920 = V667574 - 1. assign V489239 = V714077. assign V228972 = V609650. assign V773962 = V101932 - 1. assign V640633 = V455812. assign V415646 = V219151 + 1. assign V774353 = V215867. assign V219988 = V150798 + 1. assign V091103 = V512642. assign V941013 = V016626 + 1. assign V243812 = V640633. assign V633211 = V219988 - 1. assign V163258 = V734652 - 1. assign V116873 = V391489. assign V819373 = V435366 - 1. assign V648631 = V633211 + 1. assign V439909 = V578351. assign V248365 = V584631 - 1. assign V739632 = V141849. assign V817266 = V609650 - 1. assign V538726 = V401056 - 1. assign V435366 = V512642. assign V067433 = V939725. assign V978295 = V773606 - 1. assign V096785 = V228972 - 1. assign V102480 = V163258 - 1. assign V591829 = V089695 + 1. assign V463369 = V016626. assign V276456 = V031295. assign V961836 = V195976 + 1. assign V676979 = V797798. assign V336960 = V375109 + 1. assign V936533 = V401056 - 1. assign V391489 = V251045. assign V189953 = V779222 - 1. assign V214115 = V856849. assign V612350 = V489239 + 1. assign V694705 = V288043. assign V409449 = V978295 + 1. assign V734652 = V215867. assign V789199 = 8. assign V387149 = V792259 + 1. assign V493516 = V214115 + 1. assign V248167 = V096785 + 1. assign V522948 = V219988 - 1. assign V535327 = V150798 + 1. assign V330164 = V779222 - 1. assign V148897 = V455812. assign V077421 = V375109 + 1. assign V393218 = V464317 - 1. assign V806362 = V101932. assign V602164 = V387149 - 1. assign V497253 = V956537. assign V642298 = V538726 - 1. assign V330600 = V797798 + 1. assign V375109 = V150798 + 1. assign V946431 = V641588 - 1. assign V783214 = V792259. assign V328821 = V219151 - 1. assign V555271 = V764783 + 1. assign V276226 = V497253 + 1. assign V807840 = V150527 + 1. assign V578351 = V215867 + 1. assign V549431 = V150798 + 1. assign V667574 = V215867 + 1. assign V401056 = V375109 - 1. assign V267063 = V725759 - 1. assign V847137 = V549431 + 1. assign V305701 = V792259 - 1. assign V832833 = V641588. assign V769702 = V667574. assign V656632 = V148897. assign V641588 = V734652 - 1. assign V141849 = V375109 + 1. assign V064931 = V203626. assign V773606 = V375109 - 1. assign V187611 = V817266 + 1. assign V554100 = V391489. assign V261258 = V779222. assign V854696 = V640633. assign V464317 = V659004 + 1. assign V779222 = V150798. assign V273474 = V609650. assign V362328 = V101932 + 1. assign V303593 = V584631 + 1. assign V814902 = V803777. assign V219151 = V549431. assign V592454 = V632427. assign V195976 = V641588 - 1. assign V190810 = V792259 + 1. assign V288439 = V156798 + 1. assign V122780 = V409449 + 1. assign V220237 = V725759 - 1. assign V901143 = V151777 - 1. assign V251045 = V773606. assign V577748 = V734652 + 1. assign V215867 = V779222 - 1. assign V133294 = V375109 + 1. assign V757745 = V592454 + 1. assign V803777 = V398777. assign V089695 = V520921 - 1. assign V890700 = V008597. assign V939725 = V856849 - 1. assign V133902 = V397889 + 1. assign V605121 = V398777. assign V584631 = V219988 - 1. assign V784521 = V163258. assign V520921 = V719162 - 1. assign V393279 = V856849. assign V240877 = V620510 + 1. assign V156798 = V387149. assign V515585 = V554100. assign V635558 = V336960 + 1. assign V512642 = V305701 + 1. assign V351183 = V792259 + 1. assign V609650 = V779222. assign V632427 = V190810 - 1. assign V792259 = V150798 + 1. assign V491540 = V591829. assign V455812 = V464317. assign V698818 = V464317. assign V769010 = V761573 + 1. assign V725759 = V578351 - 1. assign V209891 = V455812. assign V620510 = V398777 + 1. assign V257909 = V819373 - 1. assign V659004 = V228972 + 1. assign V101932 = V792259 - 1. assign V714077 = V375109. assign V926420 = V317581 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV789199 = 8;\n\nFrom these direct assignment(s), we have: \nV536460 = V789199 + 1 = 8 + 1 =9;\nNo other variables can be derived from V536460;\nNo other variables can be derived from V789199;\n\nNow we have done all the calculations. Derived variables are:\nV789199 = 8;\nV536460 = 9;\n\nNow we have finished this problem. ANSWER:\nV536460\n", "role": "assistant" } ]

[ "V909294", "V764856" ]

[ { "content": "<context>\nassign V187622 = V985946 - 1. assign V249797 = V183230 + 1. assign V805336 = V521073 - 1. assign V383954 = V944431. assign V478174 = V521073. assign V036437 = V214895. assign V281426 = V944431. assign V989372 = V315418. assign V916321 = V675929 - 1. assign V996131 = V281426 - 1. assign V475007 = V051007. assign V966702 = V359978 + 1. assign V853283 = V020365 + 1. assign V301958 = V167077. assign V537173 = V475007 + 1. assign V408545 = V798965. assign V145153 = V614420 - 1. assign V909294 = 8. assign V262752 = V727132 + 1. assign V239444 = V046461 - 1. assign V425725 = V129801 + 1. assign V128300 = V859236 - 1. assign V894581 = V251755 - 1. assign V056380 = V887938. assign V575522 = V020635 + 1. assign V593797 = V757453. assign V663204 = V281426. assign V098798 = V486418 + 1. assign V386352 = V828521. assign V798965 = V916321 - 1. assign V165617 = V388101 - 1. assign V620664 = V604421 - 1. assign V305185 = V315418. assign V090409 = V537173. assign V260438 = V944431 - 1. assign V392584 = V593797 - 1. assign V467382 = V389342. assign V926722 = V944431 + 1. assign V479462 = V475007 - 1. assign V912939 = V859236. assign V395686 = V072588 + 1. assign V654186 = V985937 - 1. assign V847829 = V281070 - 1. assign V913519 = V405927 + 1. assign V985946 = V768753 - 1. assign V052921 = V368334 - 1. assign V157603 = V262688 - 1. assign V462186 = V214895. assign V845640 = V604034 - 1. assign V957997 = V669503 - 1. assign V393514 = V090409 - 1. assign V812178 = V389342 - 1. assign V130284 = V366791 + 1. assign V118428 = V604421 + 1. assign V436247 = V812178. assign V366791 = V812178. assign V307973 = V521073 - 1. assign V072588 = V355579 + 1. assign V683204 = V281070 - 1. assign V822931 = V683204. assign V291818 = V384084 + 1. assign V251755 = V281552 - 1. assign V321678 = V833297 + 1. assign V944431 = V475007 + 1. assign V641202 = V167077 + 1. assign V706235 = V052396 + 1. assign V025829 = V761394. assign V304089 = V604421. assign V257856 = V384084 - 1. assign V052396 = V944431. assign V961677 = V847829 - 1. assign V660500 = V128300. assign V393951 = V129801 + 1. assign V965875 = V641202 - 1. assign V388101 = V934183 - 1. assign V195057 = V118428 + 1. assign V020365 = V761394 + 1. assign V722628 = V706235. assign V629623 = V961677 + 1. assign V645934 = V366791. assign V926267 = V425871 + 1. assign V761394 = V859236 - 1. assign V465478 = V926401. assign V323208 = V537173 - 1. assign V334716 = V386352 + 1. assign V355579 = V694589 + 1. assign V183230 = V129801. assign V941159 = V985946 + 1. assign V251434 = V282691 + 1. assign V920102 = V384084 - 1. assign V887938 = V663131 + 1. assign V405927 = V475007 - 1. assign V753991 = V467400 - 1. assign V553947 = V260438 + 1. assign V114312 = V183230. assign V146422 = V187622 + 1. assign V315418 = V537173 + 1. assign V311469 = V389342 - 1. assign V926401 = V489598 + 1. assign V281070 = V051007 + 1. assign V012023 = V966702 + 1. assign V735250 = V726253 - 1. assign V389342 = V489598 + 1. assign V675929 = V537173. assign V467400 = V985937 + 1. assign V833297 = V920102. assign V864615 = V307973. assign V757453 = V305185 - 1. assign V947155 = V355579 + 1. assign V769861 = V879606 - 1. assign V922149 = V660500 - 1. assign V696875 = V812178 + 1. assign V492013 = V262688 - 1. assign V063962 = V249797 - 1. assign V859236 = V475007 - 1. assign V985937 = V926401. assign V604421 = V051007 + 1. assign V423889 = V436247. assign V764856 = V909294. assign V411089 = V305185. assign V703828 = V051007 + 1. assign V368334 = V036437 - 1. assign V692850 = V167077 - 1. assign V913831 = V828521 + 1. assign V727132 = V489598 - 1. assign V129801 = V757453 + 1. assign V489598 = V475007. assign V282691 = V479462. assign V829163 = V462186 - 1. assign V214895 = V281070. assign V384084 = V537173 - 1. assign V262688 = V389342 + 1. assign V581441 = V260438. assign V298772 = V260438 + 1. assign V425871 = V384084 + 1. assign V046461 = V281070 - 1. assign V486418 = V195057 - 1. assign V020635 = V593797 + 1. assign V924062 = V920102 - 1. assign V900119 = V645934 - 1. assign V934183 = V386352 + 1. assign V726253 = V492013 - 1. assign V813954 = V985946 + 1. assign V669503 = V167077 - 1. assign V826132 = V128300 + 1. assign V828521 = V475007. assign V663131 = V489598 + 1. assign V650226 = V663131. assign V167077 = V879606. assign V301562 = V334716. assign V604034 = V798965. assign V987139 = V467400 + 1. assign V694589 = V389342 - 1. assign V600576 = V167077 - 1. assign V670537 = V913831. assign V804803 = V768753 - 1. assign V245895 = V641202 - 1. assign V039477 = V604421 - 1. assign V614420 = V879606 - 1. assign V521073 = V386352 - 1. assign V072115 = V593797 - 1. assign V371840 = V281070. assign V919881 = V926722 - 1. assign V755440 = V913831 - 1. assign V768753 = V046461. assign V815817 = V393514 - 1. assign V359978 = V694589. assign V162753 = V128300 + 1. assign V778911 = V281070. assign V281552 = V847829 + 1. assign V879606 = V051007. assign V492538 = V926401.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V187622 = V985946 - 1. assign V249797 = V183230 + 1. assign V805336 = V521073 - 1. assign V383954 = V944431. assign V478174 = V521073. assign V036437 = V214895. assign V281426 = V944431. assign V989372 = V315418. assign V916321 = V675929 - 1. assign V996131 = V281426 - 1. assign V475007 = V051007. assign V966702 = V359978 + 1. assign V853283 = V020365 + 1. assign V301958 = V167077. assign V537173 = V475007 + 1. assign V408545 = V798965. assign V145153 = V614420 - 1. assign V909294 = 8. assign V262752 = V727132 + 1. assign V239444 = V046461 - 1. assign V425725 = V129801 + 1. assign V128300 = V859236 - 1. assign V894581 = V251755 - 1. assign V056380 = V887938. assign V575522 = V020635 + 1. assign V593797 = V757453. assign V663204 = V281426. assign V098798 = V486418 + 1. assign V386352 = V828521. assign V798965 = V916321 - 1. assign V165617 = V388101 - 1. assign V620664 = V604421 - 1. assign V305185 = V315418. assign V090409 = V537173. assign V260438 = V944431 - 1. assign V392584 = V593797 - 1. assign V467382 = V389342. assign V926722 = V944431 + 1. assign V479462 = V475007 - 1. assign V912939 = V859236. assign V395686 = V072588 + 1. assign V654186 = V985937 - 1. assign V847829 = V281070 - 1. assign V913519 = V405927 + 1. assign V985946 = V768753 - 1. assign V052921 = V368334 - 1. assign V157603 = V262688 - 1. assign V462186 = V214895. assign V845640 = V604034 - 1. assign V957997 = V669503 - 1. assign V393514 = V090409 - 1. assign V812178 = V389342 - 1. assign V130284 = V366791 + 1. assign V118428 = V604421 + 1. assign V436247 = V812178. assign V366791 = V812178. assign V307973 = V521073 - 1. assign V072588 = V355579 + 1. assign V683204 = V281070 - 1. assign V822931 = V683204. assign V291818 = V384084 + 1. assign V251755 = V281552 - 1. assign V321678 = V833297 + 1. assign V944431 = V475007 + 1. assign V641202 = V167077 + 1. assign V706235 = V052396 + 1. assign V025829 = V761394. assign V304089 = V604421. assign V257856 = V384084 - 1. assign V052396 = V944431. assign V961677 = V847829 - 1. assign V660500 = V128300. assign V393951 = V129801 + 1. assign V965875 = V641202 - 1. assign V388101 = V934183 - 1. assign V195057 = V118428 + 1. assign V020365 = V761394 + 1. assign V722628 = V706235. assign V629623 = V961677 + 1. assign V645934 = V366791. assign V926267 = V425871 + 1. assign V761394 = V859236 - 1. assign V465478 = V926401. assign V323208 = V537173 - 1. assign V334716 = V386352 + 1. assign V355579 = V694589 + 1. assign V183230 = V129801. assign V941159 = V985946 + 1. assign V251434 = V282691 + 1. assign V920102 = V384084 - 1. assign V887938 = V663131 + 1. assign V405927 = V475007 - 1. assign V753991 = V467400 - 1. assign V553947 = V260438 + 1. assign V114312 = V183230. assign V146422 = V187622 + 1. assign V315418 = V537173 + 1. assign V311469 = V389342 - 1. assign V926401 = V489598 + 1. assign V281070 = V051007 + 1. assign V012023 = V966702 + 1. assign V735250 = V726253 - 1. assign V389342 = V489598 + 1. assign V675929 = V537173. assign V467400 = V985937 + 1. assign V833297 = V920102. assign V864615 = V307973. assign V757453 = V305185 - 1. assign V947155 = V355579 + 1. assign V769861 = V879606 - 1. assign V922149 = V660500 - 1. assign V696875 = V812178 + 1. assign V492013 = V262688 - 1. assign V063962 = V249797 - 1. assign V859236 = V475007 - 1. assign V985937 = V926401. assign V604421 = V051007 + 1. assign V423889 = V436247. assign V764856 = V909294. assign V411089 = V305185. assign V703828 = V051007 + 1. assign V368334 = V036437 - 1. assign V692850 = V167077 - 1. assign V913831 = V828521 + 1. assign V727132 = V489598 - 1. assign V129801 = V757453 + 1. assign V489598 = V475007. assign V282691 = V479462. assign V829163 = V462186 - 1. assign V214895 = V281070. assign V384084 = V537173 - 1. assign V262688 = V389342 + 1. assign V581441 = V260438. assign V298772 = V260438 + 1. assign V425871 = V384084 + 1. assign V046461 = V281070 - 1. assign V486418 = V195057 - 1. assign V020635 = V593797 + 1. assign V924062 = V920102 - 1. assign V900119 = V645934 - 1. assign V934183 = V386352 + 1. assign V726253 = V492013 - 1. assign V813954 = V985946 + 1. assign V669503 = V167077 - 1. assign V826132 = V128300 + 1. assign V828521 = V475007. assign V663131 = V489598 + 1. assign V650226 = V663131. assign V167077 = V879606. assign V301562 = V334716. assign V604034 = V798965. assign V987139 = V467400 + 1. assign V694589 = V389342 - 1. assign V600576 = V167077 - 1. assign V670537 = V913831. assign V804803 = V768753 - 1. assign V245895 = V641202 - 1. assign V039477 = V604421 - 1. assign V614420 = V879606 - 1. assign V521073 = V386352 - 1. assign V072115 = V593797 - 1. assign V371840 = V281070. assign V919881 = V926722 - 1. assign V755440 = V913831 - 1. assign V768753 = V046461. assign V815817 = V393514 - 1. assign V359978 = V694589. assign V162753 = V128300 + 1. assign V778911 = V281070. assign V281552 = V847829 + 1. assign V879606 = V051007. assign V492538 = V926401.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV909294 = 8;\n\nFrom these direct assignment(s), we have: \nV764856 = V909294 = 8;\nNo other variables can be derived from V764856;\nNo other variables can be derived from V909294;\n\nNow we have done all the calculations. Derived variables are:\nV909294 = 8;\nV764856 = 8;\n\nNow we have finished this problem. ANSWER:\nV909294, V764856\n", "role": "assistant" } ]

[ "V025047" ]

[ { "content": "<context>\nassign V698157 = V277763 - 1. assign V813924 = V152842 + 1. assign V925722 = V793638 + 1. assign V811703 = V051253 + 1. assign V176555 = V103294 + 1. assign V238238 = V969829. assign V730149 = V404706 - 1. assign V368195 = V020958 + 1. assign V528497 = V133514. assign V471826 = V908746 + 1. assign V051253 = V438926 + 1. assign V522820 = V266754. assign V103294 = V935842 + 1. assign V798750 = V272644. assign V793638 = V762632 - 1. assign V025047 = 8. assign V281842 = V471826 - 1. assign V256580 = V892270 + 1. assign V734793 = V653116 + 1. assign V853280 = V439150 + 1. assign V184227 = V748132 + 1. assign V648953 = V371534 - 1. assign V646758 = V471826. assign V028818 = V842638 - 1. assign V552804 = V404706 - 1. assign V175861 = V820816. assign V815900 = V646637 + 1. assign V076721 = V371534 + 1. assign V715403 = V420754 + 1. assign V215257 = V272644. assign V064730 = V853280. assign V273860 = V173934. assign V834568 = V371534 + 1. assign V234615 = V641470. assign V846840 = V966440 + 1. assign V938247 = V881877. assign V606693 = V916772 - 1. assign V371534 = V133514 + 1. assign V641470 = V966440 + 1. assign V651857 = V692504 - 1. assign V309538 = V811703. assign V786152 = V183711. assign V196978 = V152842 - 1. assign V461996 = V354537 - 1. assign V690529 = V811703 - 1. assign V102071 = V811703 + 1. assign V943070 = V870096. assign V610074 = V183711 - 1. assign V207269 = V277763 + 1. assign V918450 = V956362. assign V934537 = V459356. assign V113391 = V609651 - 1. assign V009361 = V027678. assign V133514 = V460446 + 1. assign V933363 = V183711 - 1. assign V893623 = V834568 + 1. assign V870096 = V848082 - 1. assign V868509 = V834568 + 1. assign V183711 = V728766 + 1. assign V311357 = V051253. assign V776272 = V834568. assign V842638 = V848082. assign V460446 = V438926 - 1. assign V733895 = V306519 - 1. assign V634994 = V064168 - 1. assign V015208 = V950176 + 1. assign V892270 = V337428 + 1. assign V461390 = V848082 + 1. assign V950176 = V471826 + 1. assign V266754 = V549481 - 1. assign V473886 = V969829 + 1. assign V956362 = V028597 - 1. assign V258789 = V630357 + 1. assign V028597 = V748132. assign V692504 = V051253 + 1. assign V501289 = V420754 + 1. assign V407007 = V460446. assign V549436 = V064730. assign V479937 = V309538 - 1. assign V404706 = V653116 + 1. assign V258833 = V580679 - 1. assign V646637 = V438926 - 1. assign V848082 = V460446. assign V916772 = V848082 - 1. assign V937955 = V103294. assign V653116 = V646637 + 1. assign V969829 = V853280 - 1. assign V222961 = V916772. assign V201292 = V522820 + 1. assign V739341 = V937955. assign V761471 = V183711. assign V272644 = V337428 + 1. assign V152842 = V461390 + 1. assign V279259 = V404706. assign V772337 = V969829 - 1. assign V637880 = V461390 + 1. assign V017720 = V027678 - 1. assign V059142 = V970438 - 1. assign V120516 = V471826. assign V854448 = V277763 - 1. assign V728766 = V301279 + 1. assign V361474 = V277763 - 1. assign V487911 = V943070 - 1. assign V248155 = V827880. assign V064168 = V989555. assign V966440 = V438926. assign V829655 = V103294 + 1. assign V848013 = V846840. assign V970438 = V215257 - 1. assign V549481 = V528497 - 1. assign V081813 = V279259 + 1. assign V741782 = V842638 + 1. assign V789223 = V648953 - 1. assign V427538 = V247598. assign V203319 = V133514. assign V485551 = V908746. assign V027678 = V438926 + 1. assign V580679 = V898365. assign V820816 = V471826. assign V592686 = V651857 + 1. assign V420953 = V025047 - 1. assign V306519 = V277763 + 1. assign V017466 = V762632 + 1. assign V748132 = V438926 - 1. assign V173211 = V868509. assign V705435 = V439150 + 1. assign V526743 = V568985. assign V354537 = V183711 - 1. assign V698067 = V459356 + 1. assign V630357 = V064730 - 1. assign V683596 = V346403 - 1. assign V935842 = V309538 - 1. assign V420754 = V461390. assign V656202 = V653116 + 1. assign V609651 = V272644 - 1. assign V163472 = V935842 + 1. assign V946974 = V705435. assign V277763 = V471826 + 1. assign V301279 = V646637. assign V559623 = V938247 + 1. assign V247598 = V528497. assign V250110 = V966440 - 1. assign V212113 = V656202 - 1. assign V368914 = V461390. assign V908746 = V337428 + 1. assign V595622 = V459356 - 1. assign V162846 = V266754 + 1. assign V020958 = V461390 - 1. assign V326016 = V692504 - 1. assign V568985 = V120516 + 1. assign V346403 = V908746. assign V898365 = V811703 - 1. assign V989555 = V653116 + 1. assign V762632 = V277763 - 1. assign V439150 = V438926. assign V859235 = V234615. assign V881877 = V404706 + 1. assign V337428 = V460446 - 1. assign V185105 = V892270 + 1. assign V459356 = V641470 + 1. assign V368683 = V407007 - 1. assign V038995 = V793638 - 1. assign V827880 = V277763 + 1. assign V822731 = V133514 - 1. assign V477814 = V133514. assign V476632 = V361474 + 1. assign V040611 = V870096. assign V337599 = V946974 - 1. assign V148772 = V528497 + 1. assign V173934 = V648953. assign V364853 = V692504. assign V879785 = V196978 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V698157 = V277763 - 1. assign V813924 = V152842 + 1. assign V925722 = V793638 + 1. assign V811703 = V051253 + 1. assign V176555 = V103294 + 1. assign V238238 = V969829. assign V730149 = V404706 - 1. assign V368195 = V020958 + 1. assign V528497 = V133514. assign V471826 = V908746 + 1. assign V051253 = V438926 + 1. assign V522820 = V266754. assign V103294 = V935842 + 1. assign V798750 = V272644. assign V793638 = V762632 - 1. assign V025047 = 8. assign V281842 = V471826 - 1. assign V256580 = V892270 + 1. assign V734793 = V653116 + 1. assign V853280 = V439150 + 1. assign V184227 = V748132 + 1. assign V648953 = V371534 - 1. assign V646758 = V471826. assign V028818 = V842638 - 1. assign V552804 = V404706 - 1. assign V175861 = V820816. assign V815900 = V646637 + 1. assign V076721 = V371534 + 1. assign V715403 = V420754 + 1. assign V215257 = V272644. assign V064730 = V853280. assign V273860 = V173934. assign V834568 = V371534 + 1. assign V234615 = V641470. assign V846840 = V966440 + 1. assign V938247 = V881877. assign V606693 = V916772 - 1. assign V371534 = V133514 + 1. assign V641470 = V966440 + 1. assign V651857 = V692504 - 1. assign V309538 = V811703. assign V786152 = V183711. assign V196978 = V152842 - 1. assign V461996 = V354537 - 1. assign V690529 = V811703 - 1. assign V102071 = V811703 + 1. assign V943070 = V870096. assign V610074 = V183711 - 1. assign V207269 = V277763 + 1. assign V918450 = V956362. assign V934537 = V459356. assign V113391 = V609651 - 1. assign V009361 = V027678. assign V133514 = V460446 + 1. assign V933363 = V183711 - 1. assign V893623 = V834568 + 1. assign V870096 = V848082 - 1. assign V868509 = V834568 + 1. assign V183711 = V728766 + 1. assign V311357 = V051253. assign V776272 = V834568. assign V842638 = V848082. assign V460446 = V438926 - 1. assign V733895 = V306519 - 1. assign V634994 = V064168 - 1. assign V015208 = V950176 + 1. assign V892270 = V337428 + 1. assign V461390 = V848082 + 1. assign V950176 = V471826 + 1. assign V266754 = V549481 - 1. assign V473886 = V969829 + 1. assign V956362 = V028597 - 1. assign V258789 = V630357 + 1. assign V028597 = V748132. assign V692504 = V051253 + 1. assign V501289 = V420754 + 1. assign V407007 = V460446. assign V549436 = V064730. assign V479937 = V309538 - 1. assign V404706 = V653116 + 1. assign V258833 = V580679 - 1. assign V646637 = V438926 - 1. assign V848082 = V460446. assign V916772 = V848082 - 1. assign V937955 = V103294. assign V653116 = V646637 + 1. assign V969829 = V853280 - 1. assign V222961 = V916772. assign V201292 = V522820 + 1. assign V739341 = V937955. assign V761471 = V183711. assign V272644 = V337428 + 1. assign V152842 = V461390 + 1. assign V279259 = V404706. assign V772337 = V969829 - 1. assign V637880 = V461390 + 1. assign V017720 = V027678 - 1. assign V059142 = V970438 - 1. assign V120516 = V471826. assign V854448 = V277763 - 1. assign V728766 = V301279 + 1. assign V361474 = V277763 - 1. assign V487911 = V943070 - 1. assign V248155 = V827880. assign V064168 = V989555. assign V966440 = V438926. assign V829655 = V103294 + 1. assign V848013 = V846840. assign V970438 = V215257 - 1. assign V549481 = V528497 - 1. assign V081813 = V279259 + 1. assign V741782 = V842638 + 1. assign V789223 = V648953 - 1. assign V427538 = V247598. assign V203319 = V133514. assign V485551 = V908746. assign V027678 = V438926 + 1. assign V580679 = V898365. assign V820816 = V471826. assign V592686 = V651857 + 1. assign V420953 = V025047 - 1. assign V306519 = V277763 + 1. assign V017466 = V762632 + 1. assign V748132 = V438926 - 1. assign V173211 = V868509. assign V705435 = V439150 + 1. assign V526743 = V568985. assign V354537 = V183711 - 1. assign V698067 = V459356 + 1. assign V630357 = V064730 - 1. assign V683596 = V346403 - 1. assign V935842 = V309538 - 1. assign V420754 = V461390. assign V656202 = V653116 + 1. assign V609651 = V272644 - 1. assign V163472 = V935842 + 1. assign V946974 = V705435. assign V277763 = V471826 + 1. assign V301279 = V646637. assign V559623 = V938247 + 1. assign V247598 = V528497. assign V250110 = V966440 - 1. assign V212113 = V656202 - 1. assign V368914 = V461390. assign V908746 = V337428 + 1. assign V595622 = V459356 - 1. assign V162846 = V266754 + 1. assign V020958 = V461390 - 1. assign V326016 = V692504 - 1. assign V568985 = V120516 + 1. assign V346403 = V908746. assign V898365 = V811703 - 1. assign V989555 = V653116 + 1. assign V762632 = V277763 - 1. assign V439150 = V438926. assign V859235 = V234615. assign V881877 = V404706 + 1. assign V337428 = V460446 - 1. assign V185105 = V892270 + 1. assign V459356 = V641470 + 1. assign V368683 = V407007 - 1. assign V038995 = V793638 - 1. assign V827880 = V277763 + 1. assign V822731 = V133514 - 1. assign V477814 = V133514. assign V476632 = V361474 + 1. assign V040611 = V870096. assign V337599 = V946974 - 1. assign V148772 = V528497 + 1. assign V173934 = V648953. assign V364853 = V692504. assign V879785 = V196978 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV025047 = 8;\n\nFrom these direct assignment(s), we have: \nV420953 = V025047 - 1 = 8 - 1 =7;\nNo other variables can be derived from V420953;\nNo other variables can be derived from V025047;\n\nNow we have done all the calculations. Derived variables are:\nV025047 = 8;\nV420953 = 7;\n\nNow we have finished this problem. ANSWER:\nV025047\n", "role": "assistant" } ]

[ "V975489" ]

[ { "content": "<context>\nassign V964957 = V872655. assign V250353 = V080911 + 1. assign V868044 = V723652. assign V560198 = V464751 - 1. assign V799655 = V924768 - 1. assign V465937 = V662578. assign V763423 = V250353 + 1. assign V477085 = V255068 + 1. assign V688739 = V427757 - 1. assign V670907 = V905718. assign V712458 = V626325 - 1. assign V069260 = V432108 + 1. assign V637079 = V431186 - 1. assign V792835 = V325215 + 1. assign V624228 = V861107. assign V591975 = V080911 - 1. assign V839409 = V390520. assign V723652 = V184858. assign V539917 = V032873 - 1. assign V566538 = V511353. assign V632026 = V637079 - 1. assign V813355 = V991548. assign V969036 = V390520 - 1. assign V080120 = V344663 + 1. assign V725127 = V464751. assign V064593 = V185745 + 1. assign V406377 = V596766. assign V390520 = V131643. assign V418056 = V344663 - 1. assign V518536 = V646859 - 1. assign V954483 = V596766 - 1. assign V140755 = V964957 - 1. assign V520926 = V268515 - 1. assign V255852 = V390520 - 1. assign V850970 = V670907 + 1. assign V464751 = V285913. assign V545331 = V268515 - 1. assign V565496 = V785273. assign V483207 = V325215 + 1. assign V475573 = V483207. assign V432108 = V390520. assign V222469 = V839409. assign V691860 = V255068. assign V547598 = V723652 - 1. assign V414629 = V799655 + 1. assign V231354 = V465937 + 1. assign V223550 = V064593. assign V919896 = V193733. assign V905718 = V821763 + 1. assign V274997 = V285913 - 1. assign V362495 = V069260. assign V650119 = V432108 + 1. assign V632789 = V362495. assign V325215 = V396571 - 1. assign V193733 = V033046. assign V516274 = V229206 - 1. assign V779189 = V185745. assign V857888 = V968762 - 1. assign V641411 = V842601 - 1. assign V958654 = V409126 + 1. assign V942310 = V268515 - 1. assign V592589 = V737289 + 1. assign V113922 = V464751 - 1. assign V393505 = V565590. assign V105111 = V393505. assign V936660 = V942310 - 1. assign V865445 = V637079 + 1. assign V578396 = V904065. assign V172053 = V261224 + 1. assign V562811 = V936310. assign V761225 = V958654. assign V821763 = V171731 - 1. assign V298323 = V069260. assign V141055 = V662578 + 1. assign V874011 = V734239. assign V945359 = V105111 + 1. assign V968762 = V032873 + 1. assign V113394 = V993344 - 1. assign V219780 = V904065. assign V691684 = V596766 + 1. assign V739771 = V942310. assign V842601 = V596766 - 1. assign V650587 = V591975 + 1. assign V194961 = V954483. assign V896082 = V255068 + 1. assign V005250 = V905718. assign V786336 = V723652. assign V261224 = V821763 + 1. assign V861107 = V231354. assign V587626 = V691684 - 1. assign V053899 = V185745. assign V033046 = V255852 + 1. assign V924768 = V560198. assign V431831 = V005250 - 1. assign V323431 = V975489 - 1. assign V926927 = V942310 - 1. assign V888797 = V924768 - 1. assign V646859 = V909362. assign V409126 = V080911 - 1. assign V185745 = V993344 + 1. assign V872655 = V626325 - 1. assign V844241 = V019762 - 1. assign V080911 = V131643 - 1. assign V171731 = V662578 + 1. assign V378076 = V991548 - 1. assign V590195 = V255852. assign V993344 = V839409 - 1. assign V431186 = V591975 - 1. assign V511353 = V813355 - 1. assign V698544 = V472976. assign V936310 = V464751 - 1. assign V891987 = V919896 - 1. assign V034416 = V080120 - 1. assign V387692 = V268515. assign V909362 = V560198. assign V312645 = V113922. assign V380773 = V689647. assign V904065 = V839409 + 1. assign V165374 = V080911 + 1. assign V565590 = V095978. assign V268515 = V080911. assign V427757 = V222469 - 1. assign V991548 = V390520. assign V095978 = V465937. assign V211049 = V464751. assign V347790 = V936660. assign V662578 = V131643. assign V307399 = V261224. assign V522762 = V624228. assign V994847 = V396571 + 1. assign V445827 = V646859. assign V032873 = V688739. assign V229206 = V172053 + 1. assign V626325 = V080911. assign V344663 = V545331 - 1. assign V641064 = V414629. assign V497109 = V545331 - 1. assign V386062 = V968762. assign V184858 = V662578 + 1. assign V962439 = V520926 + 1. assign V589084 = V268515. assign V975489 = 5. assign V285913 = V131643 + 1. assign V785273 = V171731 + 1. assign V872738 = V626325. assign V689647 = V821763 + 1. assign V596766 = V872655 - 1. assign V908566 = V632789 - 1. assign V834875 = V274997 + 1. assign V472976 = V255068 + 1. assign V019762 = V285913 - 1. assign V265626 = V813355. assign V737289 = V298323. assign V844217 = V069260 - 1. assign V112626 = V545331 + 1. assign V255068 = V763423 - 1. assign V486121 = V427757. assign V734239 = V834875. assign V715353 = V958654. assign V396571 = V904065. assign V381818 = V813355 - 1. assign V995549 = V688739. assign V960252 = V942310 - 1. assign V499705 = V868044. assign V844855 = V194961 - 1. assign V792126 = V566538. assign V806812 = V670907 + 1. assign V473189 = V591975 - 1. assign V400603 = V231354. assign V038469 = V080120 + 1. assign V845889 = V960252 - 1. assign V711504 = V991548.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V964957 = V872655. assign V250353 = V080911 + 1. assign V868044 = V723652. assign V560198 = V464751 - 1. assign V799655 = V924768 - 1. assign V465937 = V662578. assign V763423 = V250353 + 1. assign V477085 = V255068 + 1. assign V688739 = V427757 - 1. assign V670907 = V905718. assign V712458 = V626325 - 1. assign V069260 = V432108 + 1. assign V637079 = V431186 - 1. assign V792835 = V325215 + 1. assign V624228 = V861107. assign V591975 = V080911 - 1. assign V839409 = V390520. assign V723652 = V184858. assign V539917 = V032873 - 1. assign V566538 = V511353. assign V632026 = V637079 - 1. assign V813355 = V991548. assign V969036 = V390520 - 1. assign V080120 = V344663 + 1. assign V725127 = V464751. assign V064593 = V185745 + 1. assign V406377 = V596766. assign V390520 = V131643. assign V418056 = V344663 - 1. assign V518536 = V646859 - 1. assign V954483 = V596766 - 1. assign V140755 = V964957 - 1. assign V520926 = V268515 - 1. assign V255852 = V390520 - 1. assign V850970 = V670907 + 1. assign V464751 = V285913. assign V545331 = V268515 - 1. assign V565496 = V785273. assign V483207 = V325215 + 1. assign V475573 = V483207. assign V432108 = V390520. assign V222469 = V839409. assign V691860 = V255068. assign V547598 = V723652 - 1. assign V414629 = V799655 + 1. assign V231354 = V465937 + 1. assign V223550 = V064593. assign V919896 = V193733. assign V905718 = V821763 + 1. assign V274997 = V285913 - 1. assign V362495 = V069260. assign V650119 = V432108 + 1. assign V632789 = V362495. assign V325215 = V396571 - 1. assign V193733 = V033046. assign V516274 = V229206 - 1. assign V779189 = V185745. assign V857888 = V968762 - 1. assign V641411 = V842601 - 1. assign V958654 = V409126 + 1. assign V942310 = V268515 - 1. assign V592589 = V737289 + 1. assign V113922 = V464751 - 1. assign V393505 = V565590. assign V105111 = V393505. assign V936660 = V942310 - 1. assign V865445 = V637079 + 1. assign V578396 = V904065. assign V172053 = V261224 + 1. assign V562811 = V936310. assign V761225 = V958654. assign V821763 = V171731 - 1. assign V298323 = V069260. assign V141055 = V662578 + 1. assign V874011 = V734239. assign V945359 = V105111 + 1. assign V968762 = V032873 + 1. assign V113394 = V993344 - 1. assign V219780 = V904065. assign V691684 = V596766 + 1. assign V739771 = V942310. assign V842601 = V596766 - 1. assign V650587 = V591975 + 1. assign V194961 = V954483. assign V896082 = V255068 + 1. assign V005250 = V905718. assign V786336 = V723652. assign V261224 = V821763 + 1. assign V861107 = V231354. assign V587626 = V691684 - 1. assign V053899 = V185745. assign V033046 = V255852 + 1. assign V924768 = V560198. assign V431831 = V005250 - 1. assign V323431 = V975489 - 1. assign V926927 = V942310 - 1. assign V888797 = V924768 - 1. assign V646859 = V909362. assign V409126 = V080911 - 1. assign V185745 = V993344 + 1. assign V872655 = V626325 - 1. assign V844241 = V019762 - 1. assign V080911 = V131643 - 1. assign V171731 = V662578 + 1. assign V378076 = V991548 - 1. assign V590195 = V255852. assign V993344 = V839409 - 1. assign V431186 = V591975 - 1. assign V511353 = V813355 - 1. assign V698544 = V472976. assign V936310 = V464751 - 1. assign V891987 = V919896 - 1. assign V034416 = V080120 - 1. assign V387692 = V268515. assign V909362 = V560198. assign V312645 = V113922. assign V380773 = V689647. assign V904065 = V839409 + 1. assign V165374 = V080911 + 1. assign V565590 = V095978. assign V268515 = V080911. assign V427757 = V222469 - 1. assign V991548 = V390520. assign V095978 = V465937. assign V211049 = V464751. assign V347790 = V936660. assign V662578 = V131643. assign V307399 = V261224. assign V522762 = V624228. assign V994847 = V396571 + 1. assign V445827 = V646859. assign V032873 = V688739. assign V229206 = V172053 + 1. assign V626325 = V080911. assign V344663 = V545331 - 1. assign V641064 = V414629. assign V497109 = V545331 - 1. assign V386062 = V968762. assign V184858 = V662578 + 1. assign V962439 = V520926 + 1. assign V589084 = V268515. assign V975489 = 5. assign V285913 = V131643 + 1. assign V785273 = V171731 + 1. assign V872738 = V626325. assign V689647 = V821763 + 1. assign V596766 = V872655 - 1. assign V908566 = V632789 - 1. assign V834875 = V274997 + 1. assign V472976 = V255068 + 1. assign V019762 = V285913 - 1. assign V265626 = V813355. assign V737289 = V298323. assign V844217 = V069260 - 1. assign V112626 = V545331 + 1. assign V255068 = V763423 - 1. assign V486121 = V427757. assign V734239 = V834875. assign V715353 = V958654. assign V396571 = V904065. assign V381818 = V813355 - 1. assign V995549 = V688739. assign V960252 = V942310 - 1. assign V499705 = V868044. assign V844855 = V194961 - 1. assign V792126 = V566538. assign V806812 = V670907 + 1. assign V473189 = V591975 - 1. assign V400603 = V231354. assign V038469 = V080120 + 1. assign V845889 = V960252 - 1. assign V711504 = V991548.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV975489 = 5;\n\nFrom these direct assignment(s), we have: \nV323431 = V975489 - 1 = 5 - 1 =4;\nNo other variables can be derived from V323431;\nNo other variables can be derived from V975489;\n\nNow we have done all the calculations. Derived variables are:\nV975489 = 5;\nV323431 = 4;\n\nNow we have finished this problem. ANSWER:\nV975489\n", "role": "assistant" } ]

[ "V660451" ]

[ { "content": "<context>\nassign V448384 = V246672 - 1. assign V836636 = V848094. assign V099261 = V623569. assign V699547 = V381816 + 1. assign V801933 = V551597 + 1. assign V762312 = V242501. assign V071216 = V390514. assign V287926 = V809740. assign V593001 = V663239. assign V941787 = V565414 + 1. assign V449625 = V286777. assign V695760 = V551597 - 1. assign V381816 = V286777 + 1. assign V914049 = V842394 + 1. assign V659592 = V242501. assign V922775 = V032563 - 1. assign V551114 = V390514. assign V318375 = V133728 - 1. assign V366082 = V133728. assign V726058 = V366082. assign V722778 = V515457 + 1. assign V049321 = V246672 + 1. assign V915943 = V133728 + 1. assign V849273 = V058047 - 1. assign V135044 = V058047 + 1. assign V557696 = V426733 - 1. assign V256322 = V842394 + 1. assign V324129 = V232747 - 1. assign V770516 = V099929 - 1. assign V685427 = V460638 + 1. assign V044030 = V586349 + 1. assign V675857 = V896187 - 1. assign V552066 = V133728. assign V426733 = V663239 + 1. assign V551108 = V282384 + 1. assign V638958 = V031985 - 1. assign V438074 = V031985 + 1. assign V359669 = V470006 - 1. assign V822687 = V427816 + 1. assign V617456 = V058047. assign V809740 = V058047 - 1. assign V379271 = V989942 + 1. assign V427816 = V618969 + 1. assign V751923 = V324129 + 1. assign V918411 = V627703 - 1. assign V057998 = V801933 + 1. assign V817185 = V099929 + 1. assign V961951 = V107832 + 1. assign V077422 = V685427 + 1. assign V111630 = V616980 - 1. assign V199672 = V031985 + 1. assign V940139 = V617456 + 1. assign V867937 = V586349 - 1. assign V775375 = V282384 + 1. assign V536590 = V340315 - 1. assign V921535 = V663239 + 1. assign V274071 = V555193 + 1. assign V330302 = V849273 + 1. assign V510692 = V099261. assign V716935 = V184051. assign V232747 = V286777. assign V033279 = V627703 + 1. assign V248127 = V438074. assign V189661 = V345692. assign V580987 = V551597. assign V700919 = V685427. assign V896187 = V242501 - 1. assign V641394 = V184051 - 1. assign V470006 = V031985 - 1. assign V875040 = V635074. assign V530789 = V641394 - 1. assign V488892 = V184051 - 1. assign V709813 = V488892 + 1. assign V937922 = V286777. assign V339346 = V232747 - 1. assign V104950 = V184051. assign V242501 = V423499 - 1. assign V184051 = V058047 - 1. assign V261385 = V058047 - 1. assign V622559 = V448384 + 1. assign V548218 = V351705. assign V616980 = V057998 - 1. assign V987720 = V989942. assign V403482 = V286777 + 1. assign V032563 = V065068 + 1. assign V986412 = V849273 - 1. assign V736761 = V470006 + 1. assign V618969 = V460638 - 1. assign V774807 = V915943. assign V482274 = V031985 + 1. assign V390514 = V184051 - 1. assign V988893 = V087833 - 1. assign V768985 = V099929. assign V074314 = V359669 - 1. assign V744643 = V251436 + 1. assign V939016 = V185400. assign V848422 = V618969. assign V087833 = V849273 - 1. assign V663239 = V849273. assign V195093 = V565414 - 1. assign V583492 = V427816 - 1. assign V251436 = V031985 + 1. assign V350210 = V282384 + 1. assign V337785 = V896187 + 1. assign V776997 = V366082 + 1. assign V808749 = V940139 - 1. assign V099929 = V345692. assign V460638 = V184051 + 1. assign V246672 = V242501 - 1. assign V154519 = V685427 + 1. assign V808988 = V896187 + 1. assign V288413 = V915943 - 1. assign V496559 = V941918 + 1. assign V660451 = V948212 - 1. assign V109859 = V915943. assign V351705 = V635074 - 1. assign V055972 = V941787 - 1. assign V774357 = V751923. assign V551597 = V449625 + 1. assign V584893 = V801933. assign V282384 = V536590 - 1. assign V966745 = V580987 - 1. assign V236409 = V427816 - 1. assign V107832 = V817185 + 1. assign V058047 = V340315 + 1. assign V185400 = V536590 + 1. assign V345692 = V256322 + 1. assign V612029 = V939016. assign V678646 = V937922 - 1. assign V500565 = V744643 + 1. assign V288486 = V849273 - 1. assign V140879 = V460093 - 1. assign V000415 = V189661 - 1. assign V987295 = V381816. assign V237751 = V716935 - 1. assign V530529 = V641394 + 1. assign V255081 = V246672 + 1. assign V681629 = V031985 + 1. assign V780110 = V557696 - 1. assign V848094 = V460638. assign V586349 = V427816 + 1. assign V755843 = V744643 + 1. assign V805837 = V940139 + 1. assign V906142 = V551108. assign V138067 = V184051. assign V515457 = V921535. assign V492697 = V282384 + 1. assign V555193 = V565414 - 1. assign V423499 = V685427 + 1. assign V762133 = V460093 - 1. assign V031985 = V849273 + 1. assign V948212 = 10. assign V744399 = V870870. assign V907314 = V584893 - 1. assign V133728 = V551114 - 1. assign V347622 = V685427. assign V343214 = V000415 + 1. assign V623569 = V663239. assign V989942 = V104950. assign V460093 = V848094. assign V941918 = V809740 - 1. assign V870870 = V896187. assign V880627 = V681629 - 1. assign V842394 = V460638 - 1. assign V286777 = V104950 - 1. assign V065068 = V551114 - 1. assign V635074 = V403482. assign V734340 = V318375 - 1. assign V938048 = V366082. assign V077271 = V287926 + 1. assign V565414 = V438074. assign V627703 = V256322 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V448384 = V246672 - 1. assign V836636 = V848094. assign V099261 = V623569. assign V699547 = V381816 + 1. assign V801933 = V551597 + 1. assign V762312 = V242501. assign V071216 = V390514. assign V287926 = V809740. assign V593001 = V663239. assign V941787 = V565414 + 1. assign V449625 = V286777. assign V695760 = V551597 - 1. assign V381816 = V286777 + 1. assign V914049 = V842394 + 1. assign V659592 = V242501. assign V922775 = V032563 - 1. assign V551114 = V390514. assign V318375 = V133728 - 1. assign V366082 = V133728. assign V726058 = V366082. assign V722778 = V515457 + 1. assign V049321 = V246672 + 1. assign V915943 = V133728 + 1. assign V849273 = V058047 - 1. assign V135044 = V058047 + 1. assign V557696 = V426733 - 1. assign V256322 = V842394 + 1. assign V324129 = V232747 - 1. assign V770516 = V099929 - 1. assign V685427 = V460638 + 1. assign V044030 = V586349 + 1. assign V675857 = V896187 - 1. assign V552066 = V133728. assign V426733 = V663239 + 1. assign V551108 = V282384 + 1. assign V638958 = V031985 - 1. assign V438074 = V031985 + 1. assign V359669 = V470006 - 1. assign V822687 = V427816 + 1. assign V617456 = V058047. assign V809740 = V058047 - 1. assign V379271 = V989942 + 1. assign V427816 = V618969 + 1. assign V751923 = V324129 + 1. assign V918411 = V627703 - 1. assign V057998 = V801933 + 1. assign V817185 = V099929 + 1. assign V961951 = V107832 + 1. assign V077422 = V685427 + 1. assign V111630 = V616980 - 1. assign V199672 = V031985 + 1. assign V940139 = V617456 + 1. assign V867937 = V586349 - 1. assign V775375 = V282384 + 1. assign V536590 = V340315 - 1. assign V921535 = V663239 + 1. assign V274071 = V555193 + 1. assign V330302 = V849273 + 1. assign V510692 = V099261. assign V716935 = V184051. assign V232747 = V286777. assign V033279 = V627703 + 1. assign V248127 = V438074. assign V189661 = V345692. assign V580987 = V551597. assign V700919 = V685427. assign V896187 = V242501 - 1. assign V641394 = V184051 - 1. assign V470006 = V031985 - 1. assign V875040 = V635074. assign V530789 = V641394 - 1. assign V488892 = V184051 - 1. assign V709813 = V488892 + 1. assign V937922 = V286777. assign V339346 = V232747 - 1. assign V104950 = V184051. assign V242501 = V423499 - 1. assign V184051 = V058047 - 1. assign V261385 = V058047 - 1. assign V622559 = V448384 + 1. assign V548218 = V351705. assign V616980 = V057998 - 1. assign V987720 = V989942. assign V403482 = V286777 + 1. assign V032563 = V065068 + 1. assign V986412 = V849273 - 1. assign V736761 = V470006 + 1. assign V618969 = V460638 - 1. assign V774807 = V915943. assign V482274 = V031985 + 1. assign V390514 = V184051 - 1. assign V988893 = V087833 - 1. assign V768985 = V099929. assign V074314 = V359669 - 1. assign V744643 = V251436 + 1. assign V939016 = V185400. assign V848422 = V618969. assign V087833 = V849273 - 1. assign V663239 = V849273. assign V195093 = V565414 - 1. assign V583492 = V427816 - 1. assign V251436 = V031985 + 1. assign V350210 = V282384 + 1. assign V337785 = V896187 + 1. assign V776997 = V366082 + 1. assign V808749 = V940139 - 1. assign V099929 = V345692. assign V460638 = V184051 + 1. assign V246672 = V242501 - 1. assign V154519 = V685427 + 1. assign V808988 = V896187 + 1. assign V288413 = V915943 - 1. assign V496559 = V941918 + 1. assign V660451 = V948212 - 1. assign V109859 = V915943. assign V351705 = V635074 - 1. assign V055972 = V941787 - 1. assign V774357 = V751923. assign V551597 = V449625 + 1. assign V584893 = V801933. assign V282384 = V536590 - 1. assign V966745 = V580987 - 1. assign V236409 = V427816 - 1. assign V107832 = V817185 + 1. assign V058047 = V340315 + 1. assign V185400 = V536590 + 1. assign V345692 = V256322 + 1. assign V612029 = V939016. assign V678646 = V937922 - 1. assign V500565 = V744643 + 1. assign V288486 = V849273 - 1. assign V140879 = V460093 - 1. assign V000415 = V189661 - 1. assign V987295 = V381816. assign V237751 = V716935 - 1. assign V530529 = V641394 + 1. assign V255081 = V246672 + 1. assign V681629 = V031985 + 1. assign V780110 = V557696 - 1. assign V848094 = V460638. assign V586349 = V427816 + 1. assign V755843 = V744643 + 1. assign V805837 = V940139 + 1. assign V906142 = V551108. assign V138067 = V184051. assign V515457 = V921535. assign V492697 = V282384 + 1. assign V555193 = V565414 - 1. assign V423499 = V685427 + 1. assign V762133 = V460093 - 1. assign V031985 = V849273 + 1. assign V948212 = 10. assign V744399 = V870870. assign V907314 = V584893 - 1. assign V133728 = V551114 - 1. assign V347622 = V685427. assign V343214 = V000415 + 1. assign V623569 = V663239. assign V989942 = V104950. assign V460093 = V848094. assign V941918 = V809740 - 1. assign V870870 = V896187. assign V880627 = V681629 - 1. assign V842394 = V460638 - 1. assign V286777 = V104950 - 1. assign V065068 = V551114 - 1. assign V635074 = V403482. assign V734340 = V318375 - 1. assign V938048 = V366082. assign V077271 = V287926 + 1. assign V565414 = V438074. assign V627703 = V256322 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV948212 = 10;\n\nFrom these direct assignment(s), we have: \nV660451 = V948212 - 1 = 10 - 1 =9;\nNo other variables can be derived from V660451;\nNo other variables can be derived from V948212;\n\nNow we have done all the calculations. Derived variables are:\nV948212 = 10;\nV660451 = 9;\n\nNow we have finished this problem. ANSWER:\nV660451\n", "role": "assistant" } ]

[ "V843625" ]

[ { "content": "<context>\nassign V149579 = V702370 + 1. assign V431096 = V675976 - 1. assign V464645 = V261381. assign V335237 = V148516 - 1. assign V934027 = V043201. assign V669991 = V746093 + 1. assign V190816 = V218279 + 1. assign V960855 = V065668 + 1. assign V065668 = V454316 + 1. assign V108373 = V823078 + 1. assign V981183 = V665247 - 1. assign V847389 = V073937 + 1. assign V667580 = V718975 + 1. assign V737370 = V290142 + 1. assign V487988 = V073937 + 1. assign V731949 = V612597 - 1. assign V407419 = V078523. assign V997519 = V935669 + 1. assign V542959 = V261381 + 1. assign V674364 = V408930 + 1. assign V992415 = V817877. assign V078523 = V702370 - 1. assign V772846 = V603536. assign V013866 = V349993 + 1. assign V557451 = V688316. assign V671926 = V112394 + 1. assign V907195 = V711547 - 1. assign V328055 = V896494. assign V958881 = V689362 - 1. assign V896494 = V014220 - 1. assign V290142 = V014220. assign V215966 = V464645 - 1. assign V603536 = V810075. assign V810075 = V665247 - 1. assign V797853 = V000944 - 1. assign V817877 = V847405 - 1. assign V876430 = V613072 - 1. assign V084500 = V761010. assign V211016 = V631623 - 1. assign V916316 = V718975. assign V605243 = V904113 + 1. assign V782369 = V173161 - 1. assign V689362 = V464645 - 1. assign V823078 = V810075. assign V710326 = V751165 - 1. assign V658581 = V000944 - 1. assign V702370 = V222273 - 1. assign V073937 = V407101 - 1. assign V890436 = V782369 - 1. assign V468353 = V464645 - 1. assign V770075 = V754913 - 1. assign V660303 = V500718. assign V804698 = V065668 + 1. assign V992083 = V324192 + 1. assign V454381 = V261381 + 1. assign V783838 = V464645. assign V060456 = V675976 + 1. assign V373624 = V800550 - 1. assign V631623 = V492692 + 1. assign V049398 = V675976. assign V322918 = V349993. assign V042922 = V981183 - 1. assign V000944 = V810075 + 1. assign V761010 = V407419 - 1. assign V060977 = V675976 + 1. assign V843625 = V486228 + 1. assign V207142 = V040685. assign V699456 = V218116. assign V160639 = V924265. assign V489919 = V215966. assign V378166 = V013866 - 1. assign V193561 = V671926. assign V287820 = V800550. assign V752982 = V711547. assign V132238 = V173161. assign V386124 = V894286 - 1. assign V664556 = V751165. assign V894286 = V935821 - 1. assign V342976 = V977429 - 1. assign V049567 = V452051 + 1. assign V041368 = V611061. assign V803309 = V349993 + 1. assign V623244 = V665247 + 1. assign V447440 = V193561. assign V539743 = V452051 + 1. assign V660324 = V542959. assign V230708 = V464645 - 1. assign V246121 = V707450 - 1. assign V232025 = V847405 - 1. assign V935669 = V665247. assign V083965 = V810075 - 1. assign V407101 = V977429 + 1. assign V746093 = V408930 + 1. assign V800550 = V489919 + 1. assign V966867 = V675976 + 1. assign V628766 = V688316 + 1. assign V688316 = V611061 + 1. assign V018927 = V349993. assign V218116 = V230708 + 1. assign V780682 = V235662 + 1. assign V088627 = V617723 - 1. assign V452051 = V112394 - 1. assign V822438 = V218116 - 1. assign V718975 = V689362 - 1. assign V914921 = V611061 - 1. assign V679620 = V710326 + 1. assign V935821 = V623244 + 1. assign V977429 = V215966. assign V707450 = V782369 - 1. assign V640020 = V669991 + 1. assign V904113 = V222273 + 1. assign V486228 = 10. assign V960337 = V611061 - 1. assign V043201 = V797853 - 1. assign V040685 = V981183. assign V324192 = V173161 - 1. assign V611061 = V112394. assign V289398 = V447440 + 1. assign V590105 = V261381 + 1. assign V205147 = V783838 + 1. assign V754913 = V960337 + 1. assign V613072 = V671926. assign V173161 = V665247. assign V708426 = V205147 - 1. assign V711547 = V612597 + 1. assign V492692 = V222273 - 1. assign V261381 = V810075 - 1. assign V228696 = V702370. assign V349993 = V408930. assign V142388 = V623244 - 1. assign V226846 = V800550. assign V107043 = V603536 - 1. assign V675976 = V958881. assign V419319 = V083965 - 1. assign V648221 = V419319 + 1. assign V253390 = V877609 - 1. assign V222273 = V408930. assign V751165 = V782369 + 1. assign V112394 = V665247 - 1. assign V983335 = V817877 - 1. assign V454316 = V173161 - 1. assign V408930 = V665247 + 1. assign V528775 = V670837. assign V531919 = V290142 - 1. assign V924265 = V669991 + 1. assign V148516 = V966867 - 1. assign V847405 = V349993. assign V612597 = V542959 + 1. assign V175924 = V966867. assign V175912 = V454381. assign V094948 = V408930 + 1. assign V167673 = V464645 - 1. assign V670837 = V611061 + 1. assign V712065 = V782369 + 1. assign V132078 = V631623 + 1. assign V370415 = V611061 + 1. assign V525971 = V132078 + 1. assign V830497 = V718975 - 1. assign V270405 = V013866. assign V495236 = V078523 + 1. assign V727084 = V108373 + 1. assign V343577 = V960337. assign V617723 = V342976 - 1. assign V014220 = V981183 - 1. assign V500718 = V222273 + 1. assign V218279 = V631623 - 1. assign V572903 = V617723 + 1. assign V877609 = V349993 + 1. assign V343748 = V916316 - 1. assign V850974 = V349993 - 1. assign V235662 = V112394 + 1. assign V606768 = V997519 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V149579 = V702370 + 1. assign V431096 = V675976 - 1. assign V464645 = V261381. assign V335237 = V148516 - 1. assign V934027 = V043201. assign V669991 = V746093 + 1. assign V190816 = V218279 + 1. assign V960855 = V065668 + 1. assign V065668 = V454316 + 1. assign V108373 = V823078 + 1. assign V981183 = V665247 - 1. assign V847389 = V073937 + 1. assign V667580 = V718975 + 1. assign V737370 = V290142 + 1. assign V487988 = V073937 + 1. assign V731949 = V612597 - 1. assign V407419 = V078523. assign V997519 = V935669 + 1. assign V542959 = V261381 + 1. assign V674364 = V408930 + 1. assign V992415 = V817877. assign V078523 = V702370 - 1. assign V772846 = V603536. assign V013866 = V349993 + 1. assign V557451 = V688316. assign V671926 = V112394 + 1. assign V907195 = V711547 - 1. assign V328055 = V896494. assign V958881 = V689362 - 1. assign V896494 = V014220 - 1. assign V290142 = V014220. assign V215966 = V464645 - 1. assign V603536 = V810075. assign V810075 = V665247 - 1. assign V797853 = V000944 - 1. assign V817877 = V847405 - 1. assign V876430 = V613072 - 1. assign V084500 = V761010. assign V211016 = V631623 - 1. assign V916316 = V718975. assign V605243 = V904113 + 1. assign V782369 = V173161 - 1. assign V689362 = V464645 - 1. assign V823078 = V810075. assign V710326 = V751165 - 1. assign V658581 = V000944 - 1. assign V702370 = V222273 - 1. assign V073937 = V407101 - 1. assign V890436 = V782369 - 1. assign V468353 = V464645 - 1. assign V770075 = V754913 - 1. assign V660303 = V500718. assign V804698 = V065668 + 1. assign V992083 = V324192 + 1. assign V454381 = V261381 + 1. assign V783838 = V464645. assign V060456 = V675976 + 1. assign V373624 = V800550 - 1. assign V631623 = V492692 + 1. assign V049398 = V675976. assign V322918 = V349993. assign V042922 = V981183 - 1. assign V000944 = V810075 + 1. assign V761010 = V407419 - 1. assign V060977 = V675976 + 1. assign V843625 = V486228 + 1. assign V207142 = V040685. assign V699456 = V218116. assign V160639 = V924265. assign V489919 = V215966. assign V378166 = V013866 - 1. assign V193561 = V671926. assign V287820 = V800550. assign V752982 = V711547. assign V132238 = V173161. assign V386124 = V894286 - 1. assign V664556 = V751165. assign V894286 = V935821 - 1. assign V342976 = V977429 - 1. assign V049567 = V452051 + 1. assign V041368 = V611061. assign V803309 = V349993 + 1. assign V623244 = V665247 + 1. assign V447440 = V193561. assign V539743 = V452051 + 1. assign V660324 = V542959. assign V230708 = V464645 - 1. assign V246121 = V707450 - 1. assign V232025 = V847405 - 1. assign V935669 = V665247. assign V083965 = V810075 - 1. assign V407101 = V977429 + 1. assign V746093 = V408930 + 1. assign V800550 = V489919 + 1. assign V966867 = V675976 + 1. assign V628766 = V688316 + 1. assign V688316 = V611061 + 1. assign V018927 = V349993. assign V218116 = V230708 + 1. assign V780682 = V235662 + 1. assign V088627 = V617723 - 1. assign V452051 = V112394 - 1. assign V822438 = V218116 - 1. assign V718975 = V689362 - 1. assign V914921 = V611061 - 1. assign V679620 = V710326 + 1. assign V935821 = V623244 + 1. assign V977429 = V215966. assign V707450 = V782369 - 1. assign V640020 = V669991 + 1. assign V904113 = V222273 + 1. assign V486228 = 10. assign V960337 = V611061 - 1. assign V043201 = V797853 - 1. assign V040685 = V981183. assign V324192 = V173161 - 1. assign V611061 = V112394. assign V289398 = V447440 + 1. assign V590105 = V261381 + 1. assign V205147 = V783838 + 1. assign V754913 = V960337 + 1. assign V613072 = V671926. assign V173161 = V665247. assign V708426 = V205147 - 1. assign V711547 = V612597 + 1. assign V492692 = V222273 - 1. assign V261381 = V810075 - 1. assign V228696 = V702370. assign V349993 = V408930. assign V142388 = V623244 - 1. assign V226846 = V800550. assign V107043 = V603536 - 1. assign V675976 = V958881. assign V419319 = V083965 - 1. assign V648221 = V419319 + 1. assign V253390 = V877609 - 1. assign V222273 = V408930. assign V751165 = V782369 + 1. assign V112394 = V665247 - 1. assign V983335 = V817877 - 1. assign V454316 = V173161 - 1. assign V408930 = V665247 + 1. assign V528775 = V670837. assign V531919 = V290142 - 1. assign V924265 = V669991 + 1. assign V148516 = V966867 - 1. assign V847405 = V349993. assign V612597 = V542959 + 1. assign V175924 = V966867. assign V175912 = V454381. assign V094948 = V408930 + 1. assign V167673 = V464645 - 1. assign V670837 = V611061 + 1. assign V712065 = V782369 + 1. assign V132078 = V631623 + 1. assign V370415 = V611061 + 1. assign V525971 = V132078 + 1. assign V830497 = V718975 - 1. assign V270405 = V013866. assign V495236 = V078523 + 1. assign V727084 = V108373 + 1. assign V343577 = V960337. assign V617723 = V342976 - 1. assign V014220 = V981183 - 1. assign V500718 = V222273 + 1. assign V218279 = V631623 - 1. assign V572903 = V617723 + 1. assign V877609 = V349993 + 1. assign V343748 = V916316 - 1. assign V850974 = V349993 - 1. assign V235662 = V112394 + 1. assign V606768 = V997519 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV486228 = 10;\n\nFrom these direct assignment(s), we have: \nV843625 = V486228 + 1 = 10 + 1 =11;\nNo other variables can be derived from V843625;\nNo other variables can be derived from V486228;\n\nNow we have done all the calculations. Derived variables are:\nV486228 = 10;\nV843625 = 11;\n\nNow we have finished this problem. ANSWER:\nV843625\n", "role": "assistant" } ]

[ "V944569" ]

[ { "content": "<context>\nassign V273066 = V549690 - 1. assign V331704 = V854428 + 1. assign V557961 = V671285 - 1. assign V306086 = V087675 + 1. assign V797277 = V087903. assign V406071 = V461232 + 1. assign V675865 = V043149 - 1. assign V337844 = V930075 + 1. assign V343202 = V798243 - 1. assign V549454 = V891981 + 1. assign V675810 = V300471 + 1. assign V912779 = V076283. assign V834235 = V549690 - 1. assign V368869 = V992106. assign V134940 = V234030 - 1. assign V819999 = V811248 + 1. assign V992106 = V230600. assign V825097 = V536662 + 1. assign V095172 = V320016 - 1. assign V827313 = V461232. assign V183655 = V464232 + 1. assign V318416 = V043149 - 1. assign V647934 = V320796. assign V020421 = V586268 + 1. assign V243685 = V810152 + 1. assign V536662 = V935880 + 1. assign V134276 = V725331. assign V550644 = V273066 + 1. assign V538191 = V686495 + 1. assign V944569 = V896007 + 1. assign V300989 = V461232. assign V276309 = V819999 + 1. assign V557139 = V715768 - 1. assign V801824 = V549690 + 1. assign V896007 = 0. assign V848661 = V461232. assign V759501 = V336499 - 1. assign V671285 = V596430 - 1. assign V336953 = V586971 - 1. assign V912663 = V825097 + 1. assign V464232 = V588489 + 1. assign V866657 = V213428 - 1. assign V036780 = V337844. assign V588489 = V461232 + 1. assign V790342 = V306086. assign V294117 = V183655 + 1. assign V300228 = V758005 + 1. assign V554762 = V920670 - 1. assign V485502 = V536662 - 1. assign V747779 = V551439 - 1. assign V191819 = V825097 + 1. assign V596430 = V551439. assign V569218 = V744593 - 1. assign V298683 = V729904 + 1. assign V565775 = V970015. assign V350375 = V218267 - 1. assign V300471 = V302075 + 1. assign V686495 = V729904 + 1. assign V456119 = V302075. assign V647627 = V729904 + 1. assign V230600 = V930075. assign V085723 = V350375 - 1. assign V688649 = V250798 - 1. assign V076283 = V554762 - 1. assign V234030 = V536662. assign V021009 = V456119 + 1. assign V274347 = V350375 + 1. assign V744593 = V550644 - 1. assign V967598 = V554762 + 1. assign V749307 = V970015. assign V890803 = V896409 - 1. assign V310785 = V729822. assign V250798 = V827313. assign V686284 = V551439 - 1. assign V320016 = V087675 + 1. assign V412516 = V759501. assign V896409 = V464232 + 1. assign V463794 = V671285 + 1. assign V460270 = V306086 + 1. assign V798243 = V461232. assign V287176 = V249262. assign V252367 = V081734. assign V650557 = V300471 - 1. assign V854428 = V675810. assign V760320 = V647627 + 1. assign V494112 = V218267 + 1. assign V536378 = V932927 + 1. assign V501321 = V190848. assign V725331 = V747779. assign V698607 = V287176 - 1. assign V884382 = V536662 + 1. assign V166012 = V463794 - 1. assign V967459 = V725331 - 1. assign V729904 = V300471 - 1. assign V488914 = V693299. assign V559129 = V896409 + 1. assign V084314 = V725331 - 1. assign V249262 = V798243 + 1. assign V517523 = V042219 + 1. assign V609867 = V557139 - 1. assign V452086 = V811248 + 1. assign V253635 = V759501 - 1. assign V726501 = V337844. assign V218267 = V827313 + 1. assign V707930 = V557139 - 1. assign V693299 = V249262 - 1. assign V724609 = V811248 - 1. assign V107535 = V087903. assign V810152 = V969509. assign V496490 = V320016. assign V932927 = V729904 + 1. assign V715768 = V551439 + 1. assign V586268 = V350375 + 1. assign V042219 = V274347 + 1. assign V129087 = V825097 - 1. assign V533539 = V969509 + 1. assign V825913 = V536378 - 1. assign V448614 = V760320. assign V178764 = V609867 - 1. assign V549690 = V536662. assign V336499 = V464232 + 1. assign V551439 = V081734 + 1. assign V744382 = V825097 - 1. assign V247194 = V747779 - 1. assign V722002 = V190848 - 1. assign V329826 = V798243 + 1. assign V190848 = V549690. assign V006967 = V273066 - 1. assign V792254 = V848442 - 1. assign V583455 = V336499 + 1. assign V055893 = V707930. assign V087903 = V300471. assign V732801 = V460270 + 1. assign V891981 = V300471. assign V969509 = V043149 - 1. assign V735929 = V671285. assign V213428 = V298683 + 1. assign V948009 = V273066. assign V775167 = V129087 + 1. assign V496828 = V920670 - 1. assign V561738 = V047020 + 1. assign V293382 = V213428 + 1. assign V001560 = V775167 + 1. assign V320796 = V759501. assign V326602 = V967459 + 1. assign V623508 = V686284 + 1. assign V078819 = V536662. assign V930075 = V461232. assign V047020 = V827313. assign V302075 = V081734 - 1. assign V544670 = V775167 - 1. assign V758005 = V300471 - 1. assign V461232 = V081734. assign V848442 = V252367 - 1. assign V811248 = V715768. assign V528786 = V912663 - 1. assign V170892 = V819999. assign V157441 = V735929. assign V407077 = V557139 + 1. assign V370450 = V250798. assign V065025 = V538191. assign V580395 = V819999 - 1. assign V093901 = V250798 - 1. assign V920670 = V464232 - 1. assign V986782 = V093901 + 1. assign V586971 = V671285 - 1. assign V087675 = V729904 - 1. assign V970015 = V081734 - 1. assign V729822 = V724609 - 1. assign V935880 = V081734 - 1. assign V706638 = V287176. assign V043149 = V496828.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V273066 = V549690 - 1. assign V331704 = V854428 + 1. assign V557961 = V671285 - 1. assign V306086 = V087675 + 1. assign V797277 = V087903. assign V406071 = V461232 + 1. assign V675865 = V043149 - 1. assign V337844 = V930075 + 1. assign V343202 = V798243 - 1. assign V549454 = V891981 + 1. assign V675810 = V300471 + 1. assign V912779 = V076283. assign V834235 = V549690 - 1. assign V368869 = V992106. assign V134940 = V234030 - 1. assign V819999 = V811248 + 1. assign V992106 = V230600. assign V825097 = V536662 + 1. assign V095172 = V320016 - 1. assign V827313 = V461232. assign V183655 = V464232 + 1. assign V318416 = V043149 - 1. assign V647934 = V320796. assign V020421 = V586268 + 1. assign V243685 = V810152 + 1. assign V536662 = V935880 + 1. assign V134276 = V725331. assign V550644 = V273066 + 1. assign V538191 = V686495 + 1. assign V944569 = V896007 + 1. assign V300989 = V461232. assign V276309 = V819999 + 1. assign V557139 = V715768 - 1. assign V801824 = V549690 + 1. assign V896007 = 0. assign V848661 = V461232. assign V759501 = V336499 - 1. assign V671285 = V596430 - 1. assign V336953 = V586971 - 1. assign V912663 = V825097 + 1. assign V464232 = V588489 + 1. assign V866657 = V213428 - 1. assign V036780 = V337844. assign V588489 = V461232 + 1. assign V790342 = V306086. assign V294117 = V183655 + 1. assign V300228 = V758005 + 1. assign V554762 = V920670 - 1. assign V485502 = V536662 - 1. assign V747779 = V551439 - 1. assign V191819 = V825097 + 1. assign V596430 = V551439. assign V569218 = V744593 - 1. assign V298683 = V729904 + 1. assign V565775 = V970015. assign V350375 = V218267 - 1. assign V300471 = V302075 + 1. assign V686495 = V729904 + 1. assign V456119 = V302075. assign V647627 = V729904 + 1. assign V230600 = V930075. assign V085723 = V350375 - 1. assign V688649 = V250798 - 1. assign V076283 = V554762 - 1. assign V234030 = V536662. assign V021009 = V456119 + 1. assign V274347 = V350375 + 1. assign V744593 = V550644 - 1. assign V967598 = V554762 + 1. assign V749307 = V970015. assign V890803 = V896409 - 1. assign V310785 = V729822. assign V250798 = V827313. assign V686284 = V551439 - 1. assign V320016 = V087675 + 1. assign V412516 = V759501. assign V896409 = V464232 + 1. assign V463794 = V671285 + 1. assign V460270 = V306086 + 1. assign V798243 = V461232. assign V287176 = V249262. assign V252367 = V081734. assign V650557 = V300471 - 1. assign V854428 = V675810. assign V760320 = V647627 + 1. assign V494112 = V218267 + 1. assign V536378 = V932927 + 1. assign V501321 = V190848. assign V725331 = V747779. assign V698607 = V287176 - 1. assign V884382 = V536662 + 1. assign V166012 = V463794 - 1. assign V967459 = V725331 - 1. assign V729904 = V300471 - 1. assign V488914 = V693299. assign V559129 = V896409 + 1. assign V084314 = V725331 - 1. assign V249262 = V798243 + 1. assign V517523 = V042219 + 1. assign V609867 = V557139 - 1. assign V452086 = V811248 + 1. assign V253635 = V759501 - 1. assign V726501 = V337844. assign V218267 = V827313 + 1. assign V707930 = V557139 - 1. assign V693299 = V249262 - 1. assign V724609 = V811248 - 1. assign V107535 = V087903. assign V810152 = V969509. assign V496490 = V320016. assign V932927 = V729904 + 1. assign V715768 = V551439 + 1. assign V586268 = V350375 + 1. assign V042219 = V274347 + 1. assign V129087 = V825097 - 1. assign V533539 = V969509 + 1. assign V825913 = V536378 - 1. assign V448614 = V760320. assign V178764 = V609867 - 1. assign V549690 = V536662. assign V336499 = V464232 + 1. assign V551439 = V081734 + 1. assign V744382 = V825097 - 1. assign V247194 = V747779 - 1. assign V722002 = V190848 - 1. assign V329826 = V798243 + 1. assign V190848 = V549690. assign V006967 = V273066 - 1. assign V792254 = V848442 - 1. assign V583455 = V336499 + 1. assign V055893 = V707930. assign V087903 = V300471. assign V732801 = V460270 + 1. assign V891981 = V300471. assign V969509 = V043149 - 1. assign V735929 = V671285. assign V213428 = V298683 + 1. assign V948009 = V273066. assign V775167 = V129087 + 1. assign V496828 = V920670 - 1. assign V561738 = V047020 + 1. assign V293382 = V213428 + 1. assign V001560 = V775167 + 1. assign V320796 = V759501. assign V326602 = V967459 + 1. assign V623508 = V686284 + 1. assign V078819 = V536662. assign V930075 = V461232. assign V047020 = V827313. assign V302075 = V081734 - 1. assign V544670 = V775167 - 1. assign V758005 = V300471 - 1. assign V461232 = V081734. assign V848442 = V252367 - 1. assign V811248 = V715768. assign V528786 = V912663 - 1. assign V170892 = V819999. assign V157441 = V735929. assign V407077 = V557139 + 1. assign V370450 = V250798. assign V065025 = V538191. assign V580395 = V819999 - 1. assign V093901 = V250798 - 1. assign V920670 = V464232 - 1. assign V986782 = V093901 + 1. assign V586971 = V671285 - 1. assign V087675 = V729904 - 1. assign V970015 = V081734 - 1. assign V729822 = V724609 - 1. assign V935880 = V081734 - 1. assign V706638 = V287176. assign V043149 = V496828.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV896007 = 0;\n\nFrom these direct assignment(s), we have: \nV944569 = V896007 + 1 = 0 + 1 =1;\nNo other variables can be derived from V944569;\nNo other variables can be derived from V896007;\n\nNow we have done all the calculations. Derived variables are:\nV896007 = 0;\nV944569 = 1;\n\nNow we have finished this problem. ANSWER:\nV944569\n", "role": "assistant" } ]

[ "V051803", "V605200" ]

[ { "content": "<context>\nassign V287299 = V559559 + 1. assign V402918 = V724501 + 1. assign V128587 = V172918 + 1. assign V820326 = V899649 - 1. assign V367060 = V338804. assign V173913 = V349436 + 1. assign V884597 = V067591 - 1. assign V526507 = V173913 - 1. assign V247262 = V162552 + 1. assign V901420 = V349436. assign V224840 = V850275 + 1. assign V060294 = V753831 + 1. assign V576315 = V070256. assign V850275 = V289313. assign V560909 = V367331 - 1. assign V617484 = V268030 - 1. assign V241779 = V173913. assign V644594 = V526459 + 1. assign V067577 = V825991. assign V478241 = V899649 - 1. assign V208276 = V289313 - 1. assign V840322 = V197527. assign V606953 = V391530 + 1. assign V102134 = V612133 + 1. assign V148673 = V070256. assign V794515 = V412691. assign V349436 = V956703 - 1. assign V457599 = V499218. assign V426157 = V060294 - 1. assign V278530 = V247262 - 1. assign V690097 = V240874 + 1. assign V289313 = V852070. assign V897699 = V338804 + 1. assign V268030 = V908842. assign V285437 = V543079. assign V251373 = V731258. assign V632658 = V842179. assign V526459 = V585054 - 1. assign V905457 = V320604. assign V351958 = V820326 - 1. assign V548233 = V675967. assign V391530 = V162552 - 1. assign V070256 = V268030 + 1. assign V144506 = V351958 - 1. assign V737429 = V908842 + 1. assign V624590 = V907682 - 1. assign V145934 = V832917. assign V823620 = V924231. assign V593674 = V509448 - 1. assign V240874 = V162552. assign V722932 = V349436 - 1. assign V369120 = V724501. assign V759273 = V128587 + 1. assign V509635 = V547264. assign V561641 = V162552 + 1. assign V267294 = V722932 - 1. assign V630697 = V121526 + 1. assign V693934 = V233954. assign V256014 = V238959. assign V962315 = V140866 - 1. assign V233153 = V197527 + 1. assign V565887 = V799898 + 1. assign V014810 = V820326. assign V412691 = V068993 - 1. assign V861395 = V627897. assign V672644 = V268030 - 1. assign V267592 = V172918 - 1. assign V359050 = V617484. assign V443239 = V852070 - 1. assign V675967 = V238959 + 1. assign V406352 = V850275. assign V895560 = V848242 + 1. assign V956703 = V724501 - 1. assign V176928 = V238959. assign V547264 = V238959 + 1. assign V526955 = V617484. assign V197527 = V852070 + 1. assign V039277 = V345788 + 1. assign V367331 = V349436 + 1. assign V724501 = V162552 - 1. assign V907682 = V173913. assign V470056 = V238959 + 1. assign V092193 = V349436 + 1. assign V191859 = V507729. assign V320604 = V128587. assign V825991 = V607703 + 1. assign V374148 = V345788. assign V287612 = V565887 - 1. assign V627897 = V820326 - 1. assign V700767 = V197527 + 1. assign V237163 = V238959 + 1. assign V544190 = V419973. assign V407382 = V208276 + 1. assign V140866 = V114128 + 1. assign V612133 = V987403 - 1. assign V442956 = V901420 - 1. assign V229636 = V338804 - 1. assign V848242 = V251373 - 1. assign V449027 = V162552 - 1. assign V899649 = V162552. assign V832917 = V718675. assign V536691 = V360330 + 1. assign V419973 = V986676. assign V940731 = V449027 - 1. assign V609528 = V359050 + 1. assign V508331 = V289313 + 1. assign V731258 = V268030. assign V854728 = V526459. assign V193602 = V238959 + 1. assign V543079 = V268030. assign V062863 = V905457 - 1. assign V051803 = 0. assign V338804 = V956703. assign V121526 = V374148 - 1. assign V385067 = V289313 - 1. assign V699127 = V208276 - 1. assign V888694 = V536691 - 1. assign V345788 = V128587 + 1. assign V067591 = V987403. assign V852070 = V162552. assign V585054 = V389130. assign V908842 = V162552 + 1. assign V286068 = V642021 + 1. assign V986676 = V030902 + 1. assign V507729 = V927928 - 1. assign V172918 = V162552 + 1. assign V389130 = V193602. assign V030902 = V820326. assign V238959 = V128587. assign V905229 = V300711 + 1. assign V627323 = V561641. assign V413909 = V162552. assign V718675 = V351958 - 1. assign V933342 = V642021. assign V428025 = V068993 - 1. assign V240806 = V014810 + 1. assign V095150 = V642021. assign V615982 = V256014 - 1. assign V023999 = V526459 + 1. assign V360330 = V289313. assign V300711 = V470056 - 1. assign V141687 = V560909 - 1. assign V642021 = V268030 + 1. assign V753831 = V561641. assign V605200 = V051803. assign V114128 = V956703. assign V799898 = V724501 + 1. assign V905816 = V068993 + 1. assign V256226 = V345788 + 1. assign V197320 = V267294 + 1. assign V853934 = V979131 + 1. assign V924231 = V068993. assign V662757 = V607703. assign V234843 = V544190 - 1. assign V782932 = V908842 - 1. assign V509448 = V507729 - 1. assign V463064 = V320604. assign V070525 = V023999. assign V987403 = V345788 + 1. assign V979131 = V565887. assign V464187 = V367331 - 1. assign V607703 = V068993 - 1. assign V575358 = V367331 + 1. assign V499218 = V852070 - 1. assign V628980 = V561641. assign V349604 = V068993. assign V842179 = V407382. assign V068993 = V908842. assign V824014 = V256226 + 1. assign V927928 = V320604 + 1. assign V233954 = V508331 - 1. assign V559559 = V457599.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V287299 = V559559 + 1. assign V402918 = V724501 + 1. assign V128587 = V172918 + 1. assign V820326 = V899649 - 1. assign V367060 = V338804. assign V173913 = V349436 + 1. assign V884597 = V067591 - 1. assign V526507 = V173913 - 1. assign V247262 = V162552 + 1. assign V901420 = V349436. assign V224840 = V850275 + 1. assign V060294 = V753831 + 1. assign V576315 = V070256. assign V850275 = V289313. assign V560909 = V367331 - 1. assign V617484 = V268030 - 1. assign V241779 = V173913. assign V644594 = V526459 + 1. assign V067577 = V825991. assign V478241 = V899649 - 1. assign V208276 = V289313 - 1. assign V840322 = V197527. assign V606953 = V391530 + 1. assign V102134 = V612133 + 1. assign V148673 = V070256. assign V794515 = V412691. assign V349436 = V956703 - 1. assign V457599 = V499218. assign V426157 = V060294 - 1. assign V278530 = V247262 - 1. assign V690097 = V240874 + 1. assign V289313 = V852070. assign V897699 = V338804 + 1. assign V268030 = V908842. assign V285437 = V543079. assign V251373 = V731258. assign V632658 = V842179. assign V526459 = V585054 - 1. assign V905457 = V320604. assign V351958 = V820326 - 1. assign V548233 = V675967. assign V391530 = V162552 - 1. assign V070256 = V268030 + 1. assign V144506 = V351958 - 1. assign V737429 = V908842 + 1. assign V624590 = V907682 - 1. assign V145934 = V832917. assign V823620 = V924231. assign V593674 = V509448 - 1. assign V240874 = V162552. assign V722932 = V349436 - 1. assign V369120 = V724501. assign V759273 = V128587 + 1. assign V509635 = V547264. assign V561641 = V162552 + 1. assign V267294 = V722932 - 1. assign V630697 = V121526 + 1. assign V693934 = V233954. assign V256014 = V238959. assign V962315 = V140866 - 1. assign V233153 = V197527 + 1. assign V565887 = V799898 + 1. assign V014810 = V820326. assign V412691 = V068993 - 1. assign V861395 = V627897. assign V672644 = V268030 - 1. assign V267592 = V172918 - 1. assign V359050 = V617484. assign V443239 = V852070 - 1. assign V675967 = V238959 + 1. assign V406352 = V850275. assign V895560 = V848242 + 1. assign V956703 = V724501 - 1. assign V176928 = V238959. assign V547264 = V238959 + 1. assign V526955 = V617484. assign V197527 = V852070 + 1. assign V039277 = V345788 + 1. assign V367331 = V349436 + 1. assign V724501 = V162552 - 1. assign V907682 = V173913. assign V470056 = V238959 + 1. assign V092193 = V349436 + 1. assign V191859 = V507729. assign V320604 = V128587. assign V825991 = V607703 + 1. assign V374148 = V345788. assign V287612 = V565887 - 1. assign V627897 = V820326 - 1. assign V700767 = V197527 + 1. assign V237163 = V238959 + 1. assign V544190 = V419973. assign V407382 = V208276 + 1. assign V140866 = V114128 + 1. assign V612133 = V987403 - 1. assign V442956 = V901420 - 1. assign V229636 = V338804 - 1. assign V848242 = V251373 - 1. assign V449027 = V162552 - 1. assign V899649 = V162552. assign V832917 = V718675. assign V536691 = V360330 + 1. assign V419973 = V986676. assign V940731 = V449027 - 1. assign V609528 = V359050 + 1. assign V508331 = V289313 + 1. assign V731258 = V268030. assign V854728 = V526459. assign V193602 = V238959 + 1. assign V543079 = V268030. assign V062863 = V905457 - 1. assign V051803 = 0. assign V338804 = V956703. assign V121526 = V374148 - 1. assign V385067 = V289313 - 1. assign V699127 = V208276 - 1. assign V888694 = V536691 - 1. assign V345788 = V128587 + 1. assign V067591 = V987403. assign V852070 = V162552. assign V585054 = V389130. assign V908842 = V162552 + 1. assign V286068 = V642021 + 1. assign V986676 = V030902 + 1. assign V507729 = V927928 - 1. assign V172918 = V162552 + 1. assign V389130 = V193602. assign V030902 = V820326. assign V238959 = V128587. assign V905229 = V300711 + 1. assign V627323 = V561641. assign V413909 = V162552. assign V718675 = V351958 - 1. assign V933342 = V642021. assign V428025 = V068993 - 1. assign V240806 = V014810 + 1. assign V095150 = V642021. assign V615982 = V256014 - 1. assign V023999 = V526459 + 1. assign V360330 = V289313. assign V300711 = V470056 - 1. assign V141687 = V560909 - 1. assign V642021 = V268030 + 1. assign V753831 = V561641. assign V605200 = V051803. assign V114128 = V956703. assign V799898 = V724501 + 1. assign V905816 = V068993 + 1. assign V256226 = V345788 + 1. assign V197320 = V267294 + 1. assign V853934 = V979131 + 1. assign V924231 = V068993. assign V662757 = V607703. assign V234843 = V544190 - 1. assign V782932 = V908842 - 1. assign V509448 = V507729 - 1. assign V463064 = V320604. assign V070525 = V023999. assign V987403 = V345788 + 1. assign V979131 = V565887. assign V464187 = V367331 - 1. assign V607703 = V068993 - 1. assign V575358 = V367331 + 1. assign V499218 = V852070 - 1. assign V628980 = V561641. assign V349604 = V068993. assign V842179 = V407382. assign V068993 = V908842. assign V824014 = V256226 + 1. assign V927928 = V320604 + 1. assign V233954 = V508331 - 1. assign V559559 = V457599.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV051803 = 0;\n\nFrom these direct assignment(s), we have: \nV605200 = V051803 = 0;\nNo other variables can be derived from V605200;\nNo other variables can be derived from V051803;\n\nNow we have done all the calculations. Derived variables are:\nV051803 = 0;\nV605200 = 0;\n\nNow we have finished this problem. ANSWER:\nV051803, V605200\n", "role": "assistant" } ]

[ "V362345" ]

[ { "content": "<context>\nassign V694618 = V525872. assign V165091 = V325069 - 1. assign V872137 = V410877. assign V317133 = V080757 - 1. assign V325069 = V713397. assign V035289 = V346030 - 1. assign V019002 = V045837 + 1. assign V262778 = V531328 + 1. assign V777120 = V366761 - 1. assign V159209 = V757533. assign V679903 = V952497 + 1. assign V055005 = V516961 - 1. assign V295101 = V360389 - 1. assign V769674 = V773249 + 1. assign V140209 = V576712 + 1. assign V713397 = V632067. assign V374422 = V679903. assign V969004 = V263490 + 1. assign V045625 = V546025. assign V883258 = V679903 + 1. assign V952497 = V012457 - 1. assign V391081 = V366761 + 1. assign V111118 = V401509. assign V963323 = V551042 + 1. assign V291422 = V945045 - 1. assign V798496 = V140209. assign V692170 = V952497 - 1. assign V505662 = V128539 - 1. assign V236980 = V689749. assign V125878 = V312814 + 1. assign V817190 = V045837. assign V986566 = V117232. assign V346030 = V104037 + 1. assign V756593 = V632067 - 1. assign V385404 = V019002. assign V706366 = V459102 - 1. assign V206735 = V817190 + 1. assign V339184 = V236980. assign V770568 = V415025 - 1. assign V628765 = V291422. assign V567222 = V756593 + 1. assign V632067 = V385404 + 1. assign V662780 = V372140. assign V401509 = V442989 + 1. assign V574082 = V128539 - 1. assign V123772 = V045625. assign V012457 = V359567. assign V155066 = V567222 - 1. assign V001089 = V299445 + 1. assign V470799 = V725637 + 1. assign V343108 = V399971. assign V390687 = V872137 + 1. assign V700955 = V019002 + 1. assign V725637 = V830252 + 1. assign V399971 = V323937. assign V968107 = V567349 - 1. assign V447734 = V551055 - 1. assign V319941 = V944841 - 1. assign V359567 = V045837 + 1. assign V345067 = V180816. assign V741034 = V529427 + 1. assign V531328 = V952497 + 1. assign V331138 = V299445. assign V012813 = V689749 + 1. assign V459102 = V019002 - 1. assign V281579 = V180816 + 1. assign V274111 = V334291. assign V298236 = V346030. assign V264300 = V459102. assign V944841 = V459102 + 1. assign V945045 = V442989 - 1. assign V179452 = V012457. assign V117232 = V423833. assign V525872 = V753203. assign V372140 = V188771 + 1. assign V514650 = V312814. assign V753203 = V045837 - 1. assign V612474 = V360389. assign V808358 = V459102 + 1. assign V551042 = V323937. assign V867383 = V700955. assign V775344 = V212365 - 1. assign V705755 = V567222 + 1. assign V299445 = V546025 - 1. assign V599331 = V612474. assign V845032 = V117232. assign V410877 = V360389 - 1. assign V627768 = V360389 - 1. assign V802441 = V706366 + 1. assign V623529 = V045837 - 1. assign V516961 = V576712 - 1. assign V799987 = V012457. assign V836951 = V525872 - 1. assign V021758 = V401509 + 1. assign V656663 = V299445. assign V962636 = V725637 - 1. assign V212365 = V630111 + 1. assign V160655 = V799987. assign V360389 = V133826 + 1. assign V900547 = V399971. assign V188771 = V936787. assign V910630 = V700955 + 1. assign V128539 = V836951 + 1. assign V312814 = V722651. assign V775244 = V019002 - 1. assign V931373 = V045837. assign V567349 = V410877 - 1. assign V940913 = V576712 - 1. assign V689749 = V128539. assign V990551 = V817190 - 1. assign V290243 = V808358. assign V824022 = V385404 - 1. assign V671627 = V926651 + 1. assign V441473 = 1. assign V726776 = V312814. assign V745396 = V799987 + 1. assign V722651 = V459102 + 1. assign V263490 = V799987. assign V663974 = V689749 + 1. assign V104037 = V410877. assign V580935 = V038206. assign V332164 = V836951. assign V669032 = V806602 + 1. assign V423833 = V612474 - 1. assign V322261 = V830252 - 1. assign V839288 = V944841 + 1. assign V606387 = V725637 - 1. assign V080757 = V298236 - 1. assign V889301 = V128539 - 1. assign V534479 = V295101 + 1. assign V162062 = V045837 + 1. assign V510159 = V529427 + 1. assign V741852 = V323937 - 1. assign V038206 = V359567 + 1. assign V627901 = V830252 + 1. assign V757533 = V713397 + 1. assign V184290 = V599331. assign V844044 = V385404. assign V773249 = V623529. assign V690124 = V045837 + 1. assign V166740 = V513796 - 1. assign V576712 = V753203. assign V926651 = V599331 + 1. assign V097860 = V290243 - 1. assign V587439 = V516961. assign V936787 = V632067. assign V147320 = V312814 - 1. assign V037160 = V019002 + 1. assign V776909 = V399971 - 1. assign V415025 = V133826 + 1. assign V193846 = V525872 - 1. assign V160857 = V872137. assign V278402 = V274111 - 1. assign V630111 = V045837 + 1. assign V334291 = V263490. assign V411597 = V706366. assign V529427 = V391081 + 1. assign V806602 = V757533. assign V032266 = V777120. assign V323937 = V753203 - 1. assign V468904 = V990551 - 1. assign V133826 = V019002. assign V546025 = V756593. assign V362345 = V441473 + 1. assign V442989 = V012457 - 1. assign V551055 = V753203 - 1. assign V366761 = V385404. assign V180816 = V722651 - 1. assign V513796 = V963323 + 1. assign V478928 = V612474 - 1. assign V830252 = V799987 + 1. assign V704139 = V531328 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V694618 = V525872. assign V165091 = V325069 - 1. assign V872137 = V410877. assign V317133 = V080757 - 1. assign V325069 = V713397. assign V035289 = V346030 - 1. assign V019002 = V045837 + 1. assign V262778 = V531328 + 1. assign V777120 = V366761 - 1. assign V159209 = V757533. assign V679903 = V952497 + 1. assign V055005 = V516961 - 1. assign V295101 = V360389 - 1. assign V769674 = V773249 + 1. assign V140209 = V576712 + 1. assign V713397 = V632067. assign V374422 = V679903. assign V969004 = V263490 + 1. assign V045625 = V546025. assign V883258 = V679903 + 1. assign V952497 = V012457 - 1. assign V391081 = V366761 + 1. assign V111118 = V401509. assign V963323 = V551042 + 1. assign V291422 = V945045 - 1. assign V798496 = V140209. assign V692170 = V952497 - 1. assign V505662 = V128539 - 1. assign V236980 = V689749. assign V125878 = V312814 + 1. assign V817190 = V045837. assign V986566 = V117232. assign V346030 = V104037 + 1. assign V756593 = V632067 - 1. assign V385404 = V019002. assign V706366 = V459102 - 1. assign V206735 = V817190 + 1. assign V339184 = V236980. assign V770568 = V415025 - 1. assign V628765 = V291422. assign V567222 = V756593 + 1. assign V632067 = V385404 + 1. assign V662780 = V372140. assign V401509 = V442989 + 1. assign V574082 = V128539 - 1. assign V123772 = V045625. assign V012457 = V359567. assign V155066 = V567222 - 1. assign V001089 = V299445 + 1. assign V470799 = V725637 + 1. assign V343108 = V399971. assign V390687 = V872137 + 1. assign V700955 = V019002 + 1. assign V725637 = V830252 + 1. assign V399971 = V323937. assign V968107 = V567349 - 1. assign V447734 = V551055 - 1. assign V319941 = V944841 - 1. assign V359567 = V045837 + 1. assign V345067 = V180816. assign V741034 = V529427 + 1. assign V531328 = V952497 + 1. assign V331138 = V299445. assign V012813 = V689749 + 1. assign V459102 = V019002 - 1. assign V281579 = V180816 + 1. assign V274111 = V334291. assign V298236 = V346030. assign V264300 = V459102. assign V944841 = V459102 + 1. assign V945045 = V442989 - 1. assign V179452 = V012457. assign V117232 = V423833. assign V525872 = V753203. assign V372140 = V188771 + 1. assign V514650 = V312814. assign V753203 = V045837 - 1. assign V612474 = V360389. assign V808358 = V459102 + 1. assign V551042 = V323937. assign V867383 = V700955. assign V775344 = V212365 - 1. assign V705755 = V567222 + 1. assign V299445 = V546025 - 1. assign V599331 = V612474. assign V845032 = V117232. assign V410877 = V360389 - 1. assign V627768 = V360389 - 1. assign V802441 = V706366 + 1. assign V623529 = V045837 - 1. assign V516961 = V576712 - 1. assign V799987 = V012457. assign V836951 = V525872 - 1. assign V021758 = V401509 + 1. assign V656663 = V299445. assign V962636 = V725637 - 1. assign V212365 = V630111 + 1. assign V160655 = V799987. assign V360389 = V133826 + 1. assign V900547 = V399971. assign V188771 = V936787. assign V910630 = V700955 + 1. assign V128539 = V836951 + 1. assign V312814 = V722651. assign V775244 = V019002 - 1. assign V931373 = V045837. assign V567349 = V410877 - 1. assign V940913 = V576712 - 1. assign V689749 = V128539. assign V990551 = V817190 - 1. assign V290243 = V808358. assign V824022 = V385404 - 1. assign V671627 = V926651 + 1. assign V441473 = 1. assign V726776 = V312814. assign V745396 = V799987 + 1. assign V722651 = V459102 + 1. assign V263490 = V799987. assign V663974 = V689749 + 1. assign V104037 = V410877. assign V580935 = V038206. assign V332164 = V836951. assign V669032 = V806602 + 1. assign V423833 = V612474 - 1. assign V322261 = V830252 - 1. assign V839288 = V944841 + 1. assign V606387 = V725637 - 1. assign V080757 = V298236 - 1. assign V889301 = V128539 - 1. assign V534479 = V295101 + 1. assign V162062 = V045837 + 1. assign V510159 = V529427 + 1. assign V741852 = V323937 - 1. assign V038206 = V359567 + 1. assign V627901 = V830252 + 1. assign V757533 = V713397 + 1. assign V184290 = V599331. assign V844044 = V385404. assign V773249 = V623529. assign V690124 = V045837 + 1. assign V166740 = V513796 - 1. assign V576712 = V753203. assign V926651 = V599331 + 1. assign V097860 = V290243 - 1. assign V587439 = V516961. assign V936787 = V632067. assign V147320 = V312814 - 1. assign V037160 = V019002 + 1. assign V776909 = V399971 - 1. assign V415025 = V133826 + 1. assign V193846 = V525872 - 1. assign V160857 = V872137. assign V278402 = V274111 - 1. assign V630111 = V045837 + 1. assign V334291 = V263490. assign V411597 = V706366. assign V529427 = V391081 + 1. assign V806602 = V757533. assign V032266 = V777120. assign V323937 = V753203 - 1. assign V468904 = V990551 - 1. assign V133826 = V019002. assign V546025 = V756593. assign V362345 = V441473 + 1. assign V442989 = V012457 - 1. assign V551055 = V753203 - 1. assign V366761 = V385404. assign V180816 = V722651 - 1. assign V513796 = V963323 + 1. assign V478928 = V612474 - 1. assign V830252 = V799987 + 1. assign V704139 = V531328 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV441473 = 1;\n\nFrom these direct assignment(s), we have: \nV362345 = V441473 + 1 = 1 + 1 =2;\nNo other variables can be derived from V362345;\nNo other variables can be derived from V441473;\n\nNow we have done all the calculations. Derived variables are:\nV441473 = 1;\nV362345 = 2;\n\nNow we have finished this problem. ANSWER:\nV362345\n", "role": "assistant" } ]

[ "V493755" ]

[ { "content": "<context>\nassign V642155 = V673558. assign V138777 = V846660. assign V650296 = V687658 - 1. assign V473520 = V467544 + 1. assign V486059 = V011914. assign V030914 = V470885 - 1. assign V946277 = V041067 - 1. assign V002253 = V458816 - 1. assign V842567 = V853509 + 1. assign V330075 = V910124 - 1. assign V851866 = V364823 - 1. assign V021159 = V386345 + 1. assign V577332 = V987923. assign V993410 = V818809 - 1. assign V641499 = V138777 - 1. assign V832599 = V894816 - 1. assign V963968 = V147475 + 1. assign V264817 = V707909. assign V610337 = V846660 + 1. assign V225310 = V467544. assign V285866 = V785155 + 1. assign V302339 = V467544 + 1. assign V518416 = V147475 + 1. assign V578448 = V981745. assign V859196 = V671965 - 1. assign V458816 = V467544 + 1. assign V493755 = 6. assign V804104 = V520528 - 1. assign V246048 = V414428 - 1. assign V669475 = V838125 + 1. assign V633747 = V717046 + 1. assign V853509 = V684261 + 1. assign V261533 = V209575. assign V684100 = V142776 + 1. assign V369825 = V734752 - 1. assign V332784 = V804104 - 1. assign V078943 = V910124 - 1. assign V520528 = V753989. assign V052785 = V343556. assign V528268 = V041067. assign V013950 = V305570. assign V476304 = V530904 - 1. assign V671965 = V885880 - 1. assign V768837 = V815122 - 1. assign V310275 = V147475. assign V530904 = V753989. assign V230310 = V543569 - 1. assign V973517 = V225310 - 1. assign V699282 = V142776 + 1. assign V721628 = V343556 - 1. assign V543454 = V982783. assign V873505 = V921488 + 1. assign V343556 = V753989 - 1. assign V734752 = V894816 - 1. assign V783310 = V206822 + 1. assign V916512 = V832599. assign V767761 = V717046. assign V543569 = V885880 + 1. assign V496084 = V946277 - 1. assign V111568 = V470885 - 1. assign V439070 = V988137. assign V917541 = V885880. assign V707909 = V543569 + 1. assign V548394 = V815122 + 1. assign V990388 = V753989 + 1. assign V901512 = V679430 - 1. assign V427501 = V939237. assign V151669 = V607441. assign V719873 = V248802 - 1. assign V570921 = V917541 - 1. assign V681983 = V946277 + 1. assign V194041 = V486059 - 1. assign V462215 = V138777 - 1. assign V776524 = V414428. assign V333116 = V518416 - 1. assign V423139 = V138777. assign V891510 = V833263 - 1. assign V386345 = V225310 - 1. assign V917571 = V921488 + 1. assign V147475 = V846660 + 1. assign V110223 = V926454 + 1. assign V790889 = V332784. assign V700634 = V753989 + 1. assign V906110 = V278125 - 1. assign V278125 = V470885 + 1. assign V364823 = V894816. assign V988137 = V138777 - 1. assign V885880 = V467544 + 1. assign V818809 = V401418 + 1. assign V045096 = V278125. assign V926454 = V445132 + 1. assign V206822 = V265068. assign V618928 = V310275. assign V802678 = V853509 - 1. assign V414428 = V846660 - 1. assign V234220 = V334524 + 1. assign V910124 = V900122 + 1. assign V009747 = V578448 - 1. assign V271650 = V364823 + 1. assign V881080 = V939237 + 1. assign V519737 = V542078 + 1. assign V142776 = V610337 + 1. assign V305570 = V753989 - 1. assign V300566 = V041067. assign V935840 = V963968. assign V687658 = V885880 - 1. assign V753989 = V846660 - 1. assign V133510 = V768837 - 1. assign V193543 = V921488. assign V414404 = V225310 + 1. assign V248802 = V607441 + 1. assign V703533 = V968611. assign V781147 = V305570 + 1. assign V031778 = V578448 - 1. assign V679015 = V543569 + 1. assign V833263 = V570921 - 1. assign V785155 = V721628. assign V334524 = V011914. assign V141451 = V306851. assign V209575 = V838125 + 1. assign V252635 = V776524 + 1. assign V792067 = V206822 + 1. assign V815122 = V520528 + 1. assign V900122 = V414428. assign V728091 = V423139 + 1. assign V801603 = V987923 + 1. assign V287391 = V423139 - 1. assign V453294 = V486059 + 1. assign V935176 = V188819. assign V968611 = V302339. assign V401418 = V851866 - 1. assign V091143 = V543569 + 1. assign V894816 = V138777 - 1. assign V445132 = V885880 - 1. assign V607441 = V846660 + 1. assign V981745 = V209575 + 1. assign V939237 = V230310. assign V948064 = V679430 + 1. assign V188819 = V633747. assign V542078 = V987923. assign V011914 = V467544 - 1. assign V467038 = V990388. assign V812012 = V041067 + 1. assign V717046 = V885880. assign V982783 = V467544 - 1. assign V673558 = V981745 + 1. assign V219151 = V833263. assign V414581 = V493755 - 1. assign V006777 = V423139. assign V916854 = V684261 - 1. assign V786521 = V781147 + 1. assign V946795 = V206822 + 1. assign V246810 = V386345 - 1. assign V467544 = V846660 + 1. assign V757054 = V901512 + 1. assign V470885 = V982783. assign V265068 = V885880. assign V041067 = V717046 - 1. assign V054798 = V542078 + 1. assign V679430 = V453294 + 1. assign V080056 = V792067 - 1. assign V838125 = V470885 - 1. assign V306851 = V578448 + 1. assign V936991 = V815122 + 1. assign V921488 = V734752 + 1. assign V919353 = V896115 + 1. assign V684261 = V458816 + 1. assign V756792 = V768837 - 1. assign V896115 = V815122. assign V455549 = V785155 - 1. assign V987923 = V334524 - 1. assign V706090 = V414428 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V642155 = V673558. assign V138777 = V846660. assign V650296 = V687658 - 1. assign V473520 = V467544 + 1. assign V486059 = V011914. assign V030914 = V470885 - 1. assign V946277 = V041067 - 1. assign V002253 = V458816 - 1. assign V842567 = V853509 + 1. assign V330075 = V910124 - 1. assign V851866 = V364823 - 1. assign V021159 = V386345 + 1. assign V577332 = V987923. assign V993410 = V818809 - 1. assign V641499 = V138777 - 1. assign V832599 = V894816 - 1. assign V963968 = V147475 + 1. assign V264817 = V707909. assign V610337 = V846660 + 1. assign V225310 = V467544. assign V285866 = V785155 + 1. assign V302339 = V467544 + 1. assign V518416 = V147475 + 1. assign V578448 = V981745. assign V859196 = V671965 - 1. assign V458816 = V467544 + 1. assign V493755 = 6. assign V804104 = V520528 - 1. assign V246048 = V414428 - 1. assign V669475 = V838125 + 1. assign V633747 = V717046 + 1. assign V853509 = V684261 + 1. assign V261533 = V209575. assign V684100 = V142776 + 1. assign V369825 = V734752 - 1. assign V332784 = V804104 - 1. assign V078943 = V910124 - 1. assign V520528 = V753989. assign V052785 = V343556. assign V528268 = V041067. assign V013950 = V305570. assign V476304 = V530904 - 1. assign V671965 = V885880 - 1. assign V768837 = V815122 - 1. assign V310275 = V147475. assign V530904 = V753989. assign V230310 = V543569 - 1. assign V973517 = V225310 - 1. assign V699282 = V142776 + 1. assign V721628 = V343556 - 1. assign V543454 = V982783. assign V873505 = V921488 + 1. assign V343556 = V753989 - 1. assign V734752 = V894816 - 1. assign V783310 = V206822 + 1. assign V916512 = V832599. assign V767761 = V717046. assign V543569 = V885880 + 1. assign V496084 = V946277 - 1. assign V111568 = V470885 - 1. assign V439070 = V988137. assign V917541 = V885880. assign V707909 = V543569 + 1. assign V548394 = V815122 + 1. assign V990388 = V753989 + 1. assign V901512 = V679430 - 1. assign V427501 = V939237. assign V151669 = V607441. assign V719873 = V248802 - 1. assign V570921 = V917541 - 1. assign V681983 = V946277 + 1. assign V194041 = V486059 - 1. assign V462215 = V138777 - 1. assign V776524 = V414428. assign V333116 = V518416 - 1. assign V423139 = V138777. assign V891510 = V833263 - 1. assign V386345 = V225310 - 1. assign V917571 = V921488 + 1. assign V147475 = V846660 + 1. assign V110223 = V926454 + 1. assign V790889 = V332784. assign V700634 = V753989 + 1. assign V906110 = V278125 - 1. assign V278125 = V470885 + 1. assign V364823 = V894816. assign V988137 = V138777 - 1. assign V885880 = V467544 + 1. assign V818809 = V401418 + 1. assign V045096 = V278125. assign V926454 = V445132 + 1. assign V206822 = V265068. assign V618928 = V310275. assign V802678 = V853509 - 1. assign V414428 = V846660 - 1. assign V234220 = V334524 + 1. assign V910124 = V900122 + 1. assign V009747 = V578448 - 1. assign V271650 = V364823 + 1. assign V881080 = V939237 + 1. assign V519737 = V542078 + 1. assign V142776 = V610337 + 1. assign V305570 = V753989 - 1. assign V300566 = V041067. assign V935840 = V963968. assign V687658 = V885880 - 1. assign V753989 = V846660 - 1. assign V133510 = V768837 - 1. assign V193543 = V921488. assign V414404 = V225310 + 1. assign V248802 = V607441 + 1. assign V703533 = V968611. assign V781147 = V305570 + 1. assign V031778 = V578448 - 1. assign V679015 = V543569 + 1. assign V833263 = V570921 - 1. assign V785155 = V721628. assign V334524 = V011914. assign V141451 = V306851. assign V209575 = V838125 + 1. assign V252635 = V776524 + 1. assign V792067 = V206822 + 1. assign V815122 = V520528 + 1. assign V900122 = V414428. assign V728091 = V423139 + 1. assign V801603 = V987923 + 1. assign V287391 = V423139 - 1. assign V453294 = V486059 + 1. assign V935176 = V188819. assign V968611 = V302339. assign V401418 = V851866 - 1. assign V091143 = V543569 + 1. assign V894816 = V138777 - 1. assign V445132 = V885880 - 1. assign V607441 = V846660 + 1. assign V981745 = V209575 + 1. assign V939237 = V230310. assign V948064 = V679430 + 1. assign V188819 = V633747. assign V542078 = V987923. assign V011914 = V467544 - 1. assign V467038 = V990388. assign V812012 = V041067 + 1. assign V717046 = V885880. assign V982783 = V467544 - 1. assign V673558 = V981745 + 1. assign V219151 = V833263. assign V414581 = V493755 - 1. assign V006777 = V423139. assign V916854 = V684261 - 1. assign V786521 = V781147 + 1. assign V946795 = V206822 + 1. assign V246810 = V386345 - 1. assign V467544 = V846660 + 1. assign V757054 = V901512 + 1. assign V470885 = V982783. assign V265068 = V885880. assign V041067 = V717046 - 1. assign V054798 = V542078 + 1. assign V679430 = V453294 + 1. assign V080056 = V792067 - 1. assign V838125 = V470885 - 1. assign V306851 = V578448 + 1. assign V936991 = V815122 + 1. assign V921488 = V734752 + 1. assign V919353 = V896115 + 1. assign V684261 = V458816 + 1. assign V756792 = V768837 - 1. assign V896115 = V815122. assign V455549 = V785155 - 1. assign V987923 = V334524 - 1. assign V706090 = V414428 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV493755 = 6;\n\nFrom these direct assignment(s), we have: \nV414581 = V493755 - 1 = 6 - 1 =5;\nNo other variables can be derived from V414581;\nNo other variables can be derived from V493755;\n\nNow we have done all the calculations. Derived variables are:\nV493755 = 6;\nV414581 = 5;\n\nNow we have finished this problem. ANSWER:\nV493755\n", "role": "assistant" } ]

[ "V145056", "V251545" ]

[ { "content": "<context>\nassign V597231 = V485693. assign V775886 = V595690 + 1. assign V623332 = V903419 - 1. assign V538186 = V782025 + 1. assign V489329 = V556021 - 1. assign V123311 = V564107. assign V265963 = V013357. assign V949077 = V355573. assign V242139 = V177501 + 1. assign V455554 = V549164 - 1. assign V292399 = V832878 + 1. assign V662690 = V364821 + 1. assign V342355 = V226692 + 1. assign V355573 = V527284. assign V366564 = V774696. assign V951849 = V275665 + 1. assign V060265 = V279729. assign V450762 = V795776 + 1. assign V241228 = V457720. assign V279729 = V415263. assign V906456 = V935117 + 1. assign V075973 = V668501 + 1. assign V472095 = V028508. assign V621972 = V226692 + 1. assign V549164 = V364821. assign V399982 = V279729 - 1. assign V412646 = V922030. assign V758397 = V364821. assign V243927 = V564107 + 1. assign V592592 = V364821 - 1. assign V023904 = V243927. assign V428912 = V817468. assign V576675 = V038847 + 1. assign V183624 = V951849. assign V118743 = V428912 + 1. assign V873768 = V930734. assign V774696 = V592592 - 1. assign V249787 = V366564. assign V795776 = V592592 + 1. assign V051272 = V269073 - 1. assign V415263 = V595690. assign V871933 = V841685 - 1. assign V839125 = V300225. assign V249308 = V364821 + 1. assign V457720 = V708059. assign V223181 = V698999. assign V947915 = V665570. assign V720435 = V549164. assign V234196 = V527284 - 1. assign V503659 = V157754 + 1. assign V528015 = V636532. assign V698117 = V249308 - 1. assign V482771 = V935017 + 1. assign V903419 = V675910 - 1. assign V146165 = V279729 - 1. assign V595690 = V503659. assign V841685 = V628719. assign V215841 = V123311. assign V676504 = V183624 + 1. assign V140056 = V234196 - 1. assign V171572 = V720435. assign V059151 = V914375 + 1. assign V141892 = V336300 + 1. assign V252485 = V095985 + 1. assign V022528 = V922242. assign V268379 = V279729. assign V636532 = V095985 + 1. assign V506762 = V038847 - 1. assign V175276 = V549164 + 1. assign V177501 = V595690 + 1. assign V556021 = V366564. assign V336300 = V549164 + 1. assign V708059 = V118743 - 1. assign V925569 = V774696. assign V625010 = V698117 + 1. assign V028508 = V175276 - 1. assign V501443 = V247318 - 1. assign V811794 = V141892. assign V458110 = V817468 + 1. assign V742682 = V146165 - 1. assign V103909 = V638249 + 1. assign V701234 = V059151. assign V457579 = V241228 - 1. assign V360993 = V118743 + 1. assign V122214 = V758397. assign V243364 = V249787 - 1. assign V164743 = V366564. assign V218326 = V922242 + 1. assign V668501 = V698999 - 1. assign V832878 = V708059 - 1. assign V126018 = V059151 + 1. assign V485693 = V774696. assign V997661 = V300225. assign V009578 = V070939 - 1. assign V805526 = V720435. assign V812710 = V621972 - 1. assign V989350 = V146165. assign V284023 = V164743. assign V747264 = V366564 + 1. assign V275665 = V364821 - 1. assign V095985 = V269073. assign V564107 = V662690 - 1. assign V935117 = V360993. assign V981501 = V817468 - 1. assign V698999 = V774696 + 1. assign V316271 = V564107. assign V145056 = 6. assign V300225 = V249787 + 1. assign V135290 = V075973 - 1. assign V247318 = V183624 - 1. assign V817468 = V336300 - 1. assign V028700 = V556021 + 1. assign V038847 = V275665 + 1. assign V901497 = V698117. assign V157754 = V592592 + 1. assign V813981 = V455554 + 1. assign V765155 = V668501 - 1. assign V765397 = V720435 + 1. assign V269073 = V415263 + 1. assign V994022 = V698117 - 1. assign V522297 = V564107 + 1. assign V176385 = V249308 + 1. assign V785637 = V985369. assign V561386 = V898885 + 1. assign V226692 = V549164. assign V085421 = V279729. assign V359910 = V765397 + 1. assign V675910 = V668501. assign V641933 = V985369 - 1. assign V458350 = V506762 - 1. assign V903095 = V060265 - 1. assign V418374 = V627003 + 1. assign V086539 = V935117 + 1. assign V922242 = V662690 - 1. assign V576697 = V243927. assign V013357 = V984520 - 1. assign V849143 = V028700. assign V050035 = V140056. assign V070939 = V903095. assign V293710 = V623332 + 1. assign V652470 = V698117. assign V273892 = V243927 - 1. assign V771859 = V947915 - 1. assign V193717 = V901497 - 1. assign V984520 = V269073 - 1. assign V545500 = V122214 - 1. assign V432402 = V625010 - 1. assign V598154 = V720435 - 1. assign V935017 = V060265 - 1. assign V506620 = V922030. assign V251545 = V145056. assign V066875 = V935117. assign V638249 = V336300 + 1. assign V914375 = V720435 + 1. assign V898886 = V122214 - 1. assign V838864 = V506762 + 1. assign V290064 = V501443. assign V782025 = V359910 + 1. assign V527284 = V428912 - 1. assign V895024 = V935017 + 1. assign V823147 = V641933 - 1. assign V627003 = V675910 - 1. assign V930734 = V028700 - 1. assign V665570 = V183624. assign V898885 = V903419 - 1. assign V628719 = V595690 + 1. assign V742255 = V698999 - 1. assign V126477 = V564107 - 1. assign V985369 = V925569 + 1. assign V661514 = V698999 + 1. assign V922030 = V415263. assign V351852 = V758397 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V597231 = V485693. assign V775886 = V595690 + 1. assign V623332 = V903419 - 1. assign V538186 = V782025 + 1. assign V489329 = V556021 - 1. assign V123311 = V564107. assign V265963 = V013357. assign V949077 = V355573. assign V242139 = V177501 + 1. assign V455554 = V549164 - 1. assign V292399 = V832878 + 1. assign V662690 = V364821 + 1. assign V342355 = V226692 + 1. assign V355573 = V527284. assign V366564 = V774696. assign V951849 = V275665 + 1. assign V060265 = V279729. assign V450762 = V795776 + 1. assign V241228 = V457720. assign V279729 = V415263. assign V906456 = V935117 + 1. assign V075973 = V668501 + 1. assign V472095 = V028508. assign V621972 = V226692 + 1. assign V549164 = V364821. assign V399982 = V279729 - 1. assign V412646 = V922030. assign V758397 = V364821. assign V243927 = V564107 + 1. assign V592592 = V364821 - 1. assign V023904 = V243927. assign V428912 = V817468. assign V576675 = V038847 + 1. assign V183624 = V951849. assign V118743 = V428912 + 1. assign V873768 = V930734. assign V774696 = V592592 - 1. assign V249787 = V366564. assign V795776 = V592592 + 1. assign V051272 = V269073 - 1. assign V415263 = V595690. assign V871933 = V841685 - 1. assign V839125 = V300225. assign V249308 = V364821 + 1. assign V457720 = V708059. assign V223181 = V698999. assign V947915 = V665570. assign V720435 = V549164. assign V234196 = V527284 - 1. assign V503659 = V157754 + 1. assign V528015 = V636532. assign V698117 = V249308 - 1. assign V482771 = V935017 + 1. assign V903419 = V675910 - 1. assign V146165 = V279729 - 1. assign V595690 = V503659. assign V841685 = V628719. assign V215841 = V123311. assign V676504 = V183624 + 1. assign V140056 = V234196 - 1. assign V171572 = V720435. assign V059151 = V914375 + 1. assign V141892 = V336300 + 1. assign V252485 = V095985 + 1. assign V022528 = V922242. assign V268379 = V279729. assign V636532 = V095985 + 1. assign V506762 = V038847 - 1. assign V175276 = V549164 + 1. assign V177501 = V595690 + 1. assign V556021 = V366564. assign V336300 = V549164 + 1. assign V708059 = V118743 - 1. assign V925569 = V774696. assign V625010 = V698117 + 1. assign V028508 = V175276 - 1. assign V501443 = V247318 - 1. assign V811794 = V141892. assign V458110 = V817468 + 1. assign V742682 = V146165 - 1. assign V103909 = V638249 + 1. assign V701234 = V059151. assign V457579 = V241228 - 1. assign V360993 = V118743 + 1. assign V122214 = V758397. assign V243364 = V249787 - 1. assign V164743 = V366564. assign V218326 = V922242 + 1. assign V668501 = V698999 - 1. assign V832878 = V708059 - 1. assign V126018 = V059151 + 1. assign V485693 = V774696. assign V997661 = V300225. assign V009578 = V070939 - 1. assign V805526 = V720435. assign V812710 = V621972 - 1. assign V989350 = V146165. assign V284023 = V164743. assign V747264 = V366564 + 1. assign V275665 = V364821 - 1. assign V095985 = V269073. assign V564107 = V662690 - 1. assign V935117 = V360993. assign V981501 = V817468 - 1. assign V698999 = V774696 + 1. assign V316271 = V564107. assign V145056 = 6. assign V300225 = V249787 + 1. assign V135290 = V075973 - 1. assign V247318 = V183624 - 1. assign V817468 = V336300 - 1. assign V028700 = V556021 + 1. assign V038847 = V275665 + 1. assign V901497 = V698117. assign V157754 = V592592 + 1. assign V813981 = V455554 + 1. assign V765155 = V668501 - 1. assign V765397 = V720435 + 1. assign V269073 = V415263 + 1. assign V994022 = V698117 - 1. assign V522297 = V564107 + 1. assign V176385 = V249308 + 1. assign V785637 = V985369. assign V561386 = V898885 + 1. assign V226692 = V549164. assign V085421 = V279729. assign V359910 = V765397 + 1. assign V675910 = V668501. assign V641933 = V985369 - 1. assign V458350 = V506762 - 1. assign V903095 = V060265 - 1. assign V418374 = V627003 + 1. assign V086539 = V935117 + 1. assign V922242 = V662690 - 1. assign V576697 = V243927. assign V013357 = V984520 - 1. assign V849143 = V028700. assign V050035 = V140056. assign V070939 = V903095. assign V293710 = V623332 + 1. assign V652470 = V698117. assign V273892 = V243927 - 1. assign V771859 = V947915 - 1. assign V193717 = V901497 - 1. assign V984520 = V269073 - 1. assign V545500 = V122214 - 1. assign V432402 = V625010 - 1. assign V598154 = V720435 - 1. assign V935017 = V060265 - 1. assign V506620 = V922030. assign V251545 = V145056. assign V066875 = V935117. assign V638249 = V336300 + 1. assign V914375 = V720435 + 1. assign V898886 = V122214 - 1. assign V838864 = V506762 + 1. assign V290064 = V501443. assign V782025 = V359910 + 1. assign V527284 = V428912 - 1. assign V895024 = V935017 + 1. assign V823147 = V641933 - 1. assign V627003 = V675910 - 1. assign V930734 = V028700 - 1. assign V665570 = V183624. assign V898885 = V903419 - 1. assign V628719 = V595690 + 1. assign V742255 = V698999 - 1. assign V126477 = V564107 - 1. assign V985369 = V925569 + 1. assign V661514 = V698999 + 1. assign V922030 = V415263. assign V351852 = V758397 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV145056 = 6;\n\nFrom these direct assignment(s), we have: \nV251545 = V145056 = 6;\nNo other variables can be derived from V251545;\nNo other variables can be derived from V145056;\n\nNow we have done all the calculations. Derived variables are:\nV145056 = 6;\nV251545 = 6;\n\nNow we have finished this problem. ANSWER:\nV145056, V251545\n", "role": "assistant" } ]

[ "V280772" ]

[ { "content": "<context>\nassign V736593 = V159794. assign V522206 = V061446 - 1. assign V345233 = V432779. assign V452329 = V061446. assign V715855 = V359274. assign V315758 = V276831 - 1. assign V217163 = V793376 + 1. assign V499322 = V776500. assign V575153 = V512191 - 1. assign V029719 = V169322. assign V955080 = V269677. assign V285710 = V638076 - 1. assign V535038 = V130545 + 1. assign V276831 = V061446 + 1. assign V680854 = V061446. assign V743788 = V345440. assign V091093 = V345233. assign V805705 = V452329 - 1. assign V858509 = V194514. assign V875183 = V237709 + 1. assign V954855 = V061446 + 1. assign V097715 = V683455 + 1. assign V798829 = V875183. assign V296919 = V165583 - 1. assign V436628 = V866683 - 1. assign V214997 = V443133. assign V064968 = V018491 - 1. assign V308589 = V904470. assign V952747 = V133332 + 1. assign V560322 = V296919 - 1. assign V667807 = V359274 + 1. assign V638076 = V276831. assign V385632 = V159794. assign V590172 = V522206 - 1. assign V291425 = V904470 + 1. assign V132932 = V055552 - 1. assign V663700 = V359274 - 1. assign V814423 = V638076 - 1. assign V161114 = V440660 + 1. assign V280772 = 3. assign V421664 = V793376 - 1. assign V583507 = V237709. assign V132302 = V315758. assign V456343 = V708446 + 1. assign V507689 = V188899 + 1. assign V659750 = V814423 - 1. assign V711508 = V016253 + 1. assign V776500 = V663700. assign V381265 = V228075 + 1. assign V312877 = V507689. assign V793376 = V667807. assign V519982 = V341903 - 1. assign V953559 = V280772 + 1. assign V123997 = V952747 - 1. assign V688394 = V584194 - 1. assign V567199 = V421664. assign V236960 = V667807 + 1. assign V190734 = V638076. assign V345440 = V715855. assign V070404 = V315758 + 1. assign V845534 = V697708 - 1. assign V869770 = V866683 + 1. assign V584194 = V667807 + 1. assign V286857 = V930052. assign V440660 = V583507. assign V683455 = V512191 - 1. assign V055552 = V798401 + 1. assign V894737 = V169322. assign V559479 = V798401 - 1. assign V159794 = V169322 - 1. assign V194514 = V169322. assign V443133 = V904470 - 1. assign V612264 = V930052 + 1. assign V526437 = V993926. assign V395989 = V539689. assign V110266 = V774103 - 1. assign V969819 = V269677 + 1. assign V072902 = V130545 + 1. assign V891793 = V189915. assign V124878 = V482048 - 1. assign V436683 = V296919. assign V016253 = V094711. assign V274727 = V359274. assign V263215 = V667807 - 1. assign V018491 = V724934 - 1. assign V341903 = V395989. assign V539689 = V922939. assign V531394 = V683455. assign V463837 = V395989 - 1. assign V752950 = V291425. assign V922939 = V061446 + 1. assign V268055 = V263215 + 1. assign V741583 = V312965 - 1. assign V338223 = V741583. assign V204646 = V276831. assign V312965 = V507689 + 1. assign V779940 = V061446 + 1. assign V754171 = V169322 - 1. assign V169322 = V061446 - 1. assign V430498 = V861309. assign V737278 = V798401 - 1. assign V697708 = V029719 - 1. assign V064109 = V891793 - 1. assign V269677 = V315758 + 1. assign V845723 = V276831 + 1. assign V774103 = V737278 + 1. assign V168456 = V162713. assign V861309 = V124878 + 1. assign V993926 = V315758 - 1. assign V188899 = V061446 + 1. assign V724934 = V188899 - 1. assign V866683 = V315758 - 1. assign V691840 = V798401 - 1. assign V591140 = V072902 - 1. assign V528208 = V680854. assign V822826 = V029719. assign V930052 = V482048. assign V720747 = V779940 - 1. assign V904470 = V922939. assign V185673 = V691840 - 1. assign V768541 = V708446 - 1. assign V388115 = V969819 - 1. assign V349402 = V274555 + 1. assign V777362 = V188899 - 1. assign V139692 = V094711 + 1. assign V145332 = V443133 - 1. assign V165583 = V315758. assign V566774 = V741583 - 1. assign V482580 = V335000 - 1. assign V335173 = V512191 - 1. assign V892618 = V228075. assign V965402 = V507689 - 1. assign V764223 = V204646. assign V221789 = V291425 - 1. assign V361534 = V764223 + 1. assign V419580 = V736593. assign V780345 = V456343 + 1. assign V237709 = V891793 + 1. assign V512191 = V189915 - 1. assign V312980 = V528208. assign V557388 = V737278. assign V682237 = V930052 - 1. assign V147930 = V680854 + 1. assign V782254 = V388115. assign V906798 = V659750 + 1. assign V076445 = V194514 - 1. assign V274555 = V029719. assign V086911 = V969819 + 1. assign V979254 = V359274 + 1. assign V133332 = V018491 + 1. assign V359274 = V189915 - 1. assign V576786 = V452329 - 1. assign V584758 = V274555 - 1. assign V228075 = V165583 + 1. assign V862028 = V930052 - 1. assign V343338 = V697708. assign V482048 = V276831 + 1. assign V130545 = V189915. assign V432779 = V875183 - 1. assign V408141 = V780345 + 1. assign V189915 = V061446. assign V798401 = V159794. assign V314028 = V064109 + 1. assign V335000 = V663700 + 1. assign V361432 = V798829 + 1. assign V162713 = V736593 + 1. assign V388083 = V086911 - 1. assign V198008 = V612264 - 1. assign V094711 = V189915. assign V708446 = V189915 - 1. assign V484377 = V124878. assign V973894 = V891793 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V736593 = V159794. assign V522206 = V061446 - 1. assign V345233 = V432779. assign V452329 = V061446. assign V715855 = V359274. assign V315758 = V276831 - 1. assign V217163 = V793376 + 1. assign V499322 = V776500. assign V575153 = V512191 - 1. assign V029719 = V169322. assign V955080 = V269677. assign V285710 = V638076 - 1. assign V535038 = V130545 + 1. assign V276831 = V061446 + 1. assign V680854 = V061446. assign V743788 = V345440. assign V091093 = V345233. assign V805705 = V452329 - 1. assign V858509 = V194514. assign V875183 = V237709 + 1. assign V954855 = V061446 + 1. assign V097715 = V683455 + 1. assign V798829 = V875183. assign V296919 = V165583 - 1. assign V436628 = V866683 - 1. assign V214997 = V443133. assign V064968 = V018491 - 1. assign V308589 = V904470. assign V952747 = V133332 + 1. assign V560322 = V296919 - 1. assign V667807 = V359274 + 1. assign V638076 = V276831. assign V385632 = V159794. assign V590172 = V522206 - 1. assign V291425 = V904470 + 1. assign V132932 = V055552 - 1. assign V663700 = V359274 - 1. assign V814423 = V638076 - 1. assign V161114 = V440660 + 1. assign V280772 = 3. assign V421664 = V793376 - 1. assign V583507 = V237709. assign V132302 = V315758. assign V456343 = V708446 + 1. assign V507689 = V188899 + 1. assign V659750 = V814423 - 1. assign V711508 = V016253 + 1. assign V776500 = V663700. assign V381265 = V228075 + 1. assign V312877 = V507689. assign V793376 = V667807. assign V519982 = V341903 - 1. assign V953559 = V280772 + 1. assign V123997 = V952747 - 1. assign V688394 = V584194 - 1. assign V567199 = V421664. assign V236960 = V667807 + 1. assign V190734 = V638076. assign V345440 = V715855. assign V070404 = V315758 + 1. assign V845534 = V697708 - 1. assign V869770 = V866683 + 1. assign V584194 = V667807 + 1. assign V286857 = V930052. assign V440660 = V583507. assign V683455 = V512191 - 1. assign V055552 = V798401 + 1. assign V894737 = V169322. assign V559479 = V798401 - 1. assign V159794 = V169322 - 1. assign V194514 = V169322. assign V443133 = V904470 - 1. assign V612264 = V930052 + 1. assign V526437 = V993926. assign V395989 = V539689. assign V110266 = V774103 - 1. assign V969819 = V269677 + 1. assign V072902 = V130545 + 1. assign V891793 = V189915. assign V124878 = V482048 - 1. assign V436683 = V296919. assign V016253 = V094711. assign V274727 = V359274. assign V263215 = V667807 - 1. assign V018491 = V724934 - 1. assign V341903 = V395989. assign V539689 = V922939. assign V531394 = V683455. assign V463837 = V395989 - 1. assign V752950 = V291425. assign V922939 = V061446 + 1. assign V268055 = V263215 + 1. assign V741583 = V312965 - 1. assign V338223 = V741583. assign V204646 = V276831. assign V312965 = V507689 + 1. assign V779940 = V061446 + 1. assign V754171 = V169322 - 1. assign V169322 = V061446 - 1. assign V430498 = V861309. assign V737278 = V798401 - 1. assign V697708 = V029719 - 1. assign V064109 = V891793 - 1. assign V269677 = V315758 + 1. assign V845723 = V276831 + 1. assign V774103 = V737278 + 1. assign V168456 = V162713. assign V861309 = V124878 + 1. assign V993926 = V315758 - 1. assign V188899 = V061446 + 1. assign V724934 = V188899 - 1. assign V866683 = V315758 - 1. assign V691840 = V798401 - 1. assign V591140 = V072902 - 1. assign V528208 = V680854. assign V822826 = V029719. assign V930052 = V482048. assign V720747 = V779940 - 1. assign V904470 = V922939. assign V185673 = V691840 - 1. assign V768541 = V708446 - 1. assign V388115 = V969819 - 1. assign V349402 = V274555 + 1. assign V777362 = V188899 - 1. assign V139692 = V094711 + 1. assign V145332 = V443133 - 1. assign V165583 = V315758. assign V566774 = V741583 - 1. assign V482580 = V335000 - 1. assign V335173 = V512191 - 1. assign V892618 = V228075. assign V965402 = V507689 - 1. assign V764223 = V204646. assign V221789 = V291425 - 1. assign V361534 = V764223 + 1. assign V419580 = V736593. assign V780345 = V456343 + 1. assign V237709 = V891793 + 1. assign V512191 = V189915 - 1. assign V312980 = V528208. assign V557388 = V737278. assign V682237 = V930052 - 1. assign V147930 = V680854 + 1. assign V782254 = V388115. assign V906798 = V659750 + 1. assign V076445 = V194514 - 1. assign V274555 = V029719. assign V086911 = V969819 + 1. assign V979254 = V359274 + 1. assign V133332 = V018491 + 1. assign V359274 = V189915 - 1. assign V576786 = V452329 - 1. assign V584758 = V274555 - 1. assign V228075 = V165583 + 1. assign V862028 = V930052 - 1. assign V343338 = V697708. assign V482048 = V276831 + 1. assign V130545 = V189915. assign V432779 = V875183 - 1. assign V408141 = V780345 + 1. assign V189915 = V061446. assign V798401 = V159794. assign V314028 = V064109 + 1. assign V335000 = V663700 + 1. assign V361432 = V798829 + 1. assign V162713 = V736593 + 1. assign V388083 = V086911 - 1. assign V198008 = V612264 - 1. assign V094711 = V189915. assign V708446 = V189915 - 1. assign V484377 = V124878. assign V973894 = V891793 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV280772 = 3;\n\nFrom these direct assignment(s), we have: \nV953559 = V280772 + 1 = 3 + 1 =4;\nNo other variables can be derived from V953559;\nNo other variables can be derived from V280772;\n\nNow we have done all the calculations. Derived variables are:\nV280772 = 3;\nV953559 = 4;\n\nNow we have finished this problem. ANSWER:\nV280772\n", "role": "assistant" } ]

[ "V194703" ]

[ { "content": "<context>\nassign V360744 = V314078 - 1. assign V428183 = V448107 + 1. assign V352930 = V248432 - 1. assign V102477 = V609909. assign V911138 = V360744 + 1. assign V799176 = V719593 - 1. assign V817470 = V799176 - 1. assign V601838 = V216099. assign V853500 = V136493 + 1. assign V580310 = V547905 + 1. assign V361936 = V428107 - 1. assign V325775 = V550418. assign V147643 = V318282 + 1. assign V216099 = V350278 - 1. assign V488220 = V724160. assign V350278 = V206772 - 1. assign V921172 = V318282 - 1. assign V830944 = V692691 + 1. assign V793425 = V579332. assign V719593 = V318282 - 1. assign V553746 = V025779 - 1. assign V448107 = V666389. assign V725515 = V443509. assign V669233 = V380200 + 1. assign V021876 = V666389. assign V573304 = V824985. assign V711697 = V462843 - 1. assign V063054 = V763149. assign V269559 = V581498 - 1. assign V738110 = V628973. assign V840025 = V581498. assign V136493 = V070283 + 1. assign V060977 = V325775 + 1. assign V082771 = V079829 + 1. assign V117759 = V669233 + 1. assign V015281 = V313466. assign V491369 = V190239 - 1. assign V824985 = V063054 + 1. assign V223325 = V452348 + 1. assign V113755 = V418687 - 1. assign V171189 = V275753 + 1. assign V705082 = V457446 - 1. assign V248432 = V581498 - 1. assign V313466 = V253537 - 1. assign V012645 = V799176. assign V963450 = V799176 - 1. assign V669557 = V921172 - 1. assign V377485 = V428183. assign V892909 = V169601. assign V448423 = V253537 - 1. assign V884793 = V457446. assign V167051 = V448107 - 1. assign V169601 = V113755. assign V275753 = V448107 + 1. assign V647419 = V229280 + 1. assign V626789 = V147643. assign V418687 = V052944 + 1. assign V351756 = V052944. assign V253537 = V057113 - 1. assign V577037 = V799176 + 1. assign V276453 = V712589 + 1. assign V532202 = V137255 + 1. assign V890336 = V367506 - 1. assign V966299 = V680922. assign V798237 = V537447 - 1. assign V680922 = V318282 + 1. assign V724160 = V066106. assign V492906 = V079829. assign V768791 = 0. assign V452348 = V066106 + 1. assign V194444 = V025779. assign V404836 = V137255 + 1. assign V276565 = V712589 + 1. assign V666389 = V318282. assign V495742 = V884793 - 1. assign V061835 = V159628. assign V340994 = V079829 + 1. assign V277353 = V625099. assign V930497 = V052944 - 1. assign V157627 = V045781. assign V692691 = V448423 - 1. assign V159628 = V680922. assign V548501 = V817470. assign V314078 = V628973 - 1. assign V193670 = V018511 + 1. assign V693973 = V663139 - 1. assign V942846 = V537447 + 1. assign V649931 = V824985 - 1. assign V453631 = V088716 - 1. assign V987240 = V318282 - 1. assign V763149 = V987240 + 1. assign V190239 = V428107 - 1. assign V428107 = V987240 + 1. assign V611778 = V350278 - 1. assign V626893 = V942846 - 1. assign V284775 = V963450 + 1. assign V508728 = V021876. assign V591333 = V666389 - 1. assign V416782 = V799176 + 1. assign V316257 = V966299 + 1. assign V706055 = V413106. assign V947359 = V457446. assign V822185 = V360744 - 1. assign V962076 = V452348 - 1. assign V367506 = V418687 - 1. assign V629974 = V448423. assign V194703 = V768791 + 1. assign V135924 = V313466 - 1. assign V025779 = V987240. assign V031513 = V609909 + 1. assign V070283 = V987240 + 1. assign V730970 = V147643 - 1. assign V457446 = V147643 - 1. assign V206772 = V147643 - 1. assign V948014 = V418687 + 1. assign V593388 = V763149 + 1. assign V034946 = V358092 - 1. assign V145289 = V462843 + 1. assign V057113 = V066106 + 1. assign V292380 = V380200 - 1. assign V227613 = V206772 + 1. assign V458208 = V573304 + 1. assign V757746 = V025779 + 1. assign V066106 = V147643 + 1. assign V981439 = V135924 + 1. assign V550418 = V628973 - 1. assign V663139 = V227613. assign V886544 = V227613 - 1. assign V372687 = V886544 - 1. assign V088716 = V147643 - 1. assign V456707 = V692691 + 1. assign V259629 = V581498 + 1. assign V579332 = V227613 - 1. assign V137255 = V452348 + 1. assign V042245 = V663139. assign V540457 = V462843 + 1. assign V068218 = V070283 - 1. assign V597241 = V227613 - 1. assign V184675 = V799176. assign V079829 = V963450 + 1. assign V712589 = V537447. assign V609909 = V987240. assign V152246 = V448423 - 1. assign V462843 = V921172 + 1. assign V628973 = V930497 + 1. assign V537447 = V457446 - 1. assign V089892 = V692691. assign V426035 = V591333 + 1. assign V003612 = V706055. assign V358092 = V066106 - 1. assign V422249 = V404836 + 1. assign V804370 = V135924. assign V926884 = V921172 + 1. assign V413106 = V930497 + 1. assign V233423 = V316257 + 1. assign V052944 = V066106 + 1. assign V625099 = V063054. assign V848464 = V079829 - 1. assign V919190 = V963450 + 1. assign V236269 = V663139 + 1. assign V943963 = V548501 + 1. assign V741418 = V817470 + 1. assign V018511 = V057113 - 1. assign V267418 = V987240. assign V547905 = V930497 - 1. assign V229280 = V034946. assign V214277 = V079829 + 1. assign V380200 = V537447. assign V045781 = V227613 + 1. assign V120322 = V508728. assign V443509 = V890336 + 1. assign V581498 = V318282 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V360744 = V314078 - 1. assign V428183 = V448107 + 1. assign V352930 = V248432 - 1. assign V102477 = V609909. assign V911138 = V360744 + 1. assign V799176 = V719593 - 1. assign V817470 = V799176 - 1. assign V601838 = V216099. assign V853500 = V136493 + 1. assign V580310 = V547905 + 1. assign V361936 = V428107 - 1. assign V325775 = V550418. assign V147643 = V318282 + 1. assign V216099 = V350278 - 1. assign V488220 = V724160. assign V350278 = V206772 - 1. assign V921172 = V318282 - 1. assign V830944 = V692691 + 1. assign V793425 = V579332. assign V719593 = V318282 - 1. assign V553746 = V025779 - 1. assign V448107 = V666389. assign V725515 = V443509. assign V669233 = V380200 + 1. assign V021876 = V666389. assign V573304 = V824985. assign V711697 = V462843 - 1. assign V063054 = V763149. assign V269559 = V581498 - 1. assign V738110 = V628973. assign V840025 = V581498. assign V136493 = V070283 + 1. assign V060977 = V325775 + 1. assign V082771 = V079829 + 1. assign V117759 = V669233 + 1. assign V015281 = V313466. assign V491369 = V190239 - 1. assign V824985 = V063054 + 1. assign V223325 = V452348 + 1. assign V113755 = V418687 - 1. assign V171189 = V275753 + 1. assign V705082 = V457446 - 1. assign V248432 = V581498 - 1. assign V313466 = V253537 - 1. assign V012645 = V799176. assign V963450 = V799176 - 1. assign V669557 = V921172 - 1. assign V377485 = V428183. assign V892909 = V169601. assign V448423 = V253537 - 1. assign V884793 = V457446. assign V167051 = V448107 - 1. assign V169601 = V113755. assign V275753 = V448107 + 1. assign V647419 = V229280 + 1. assign V626789 = V147643. assign V418687 = V052944 + 1. assign V351756 = V052944. assign V253537 = V057113 - 1. assign V577037 = V799176 + 1. assign V276453 = V712589 + 1. assign V532202 = V137255 + 1. assign V890336 = V367506 - 1. assign V966299 = V680922. assign V798237 = V537447 - 1. assign V680922 = V318282 + 1. assign V724160 = V066106. assign V492906 = V079829. assign V768791 = 0. assign V452348 = V066106 + 1. assign V194444 = V025779. assign V404836 = V137255 + 1. assign V276565 = V712589 + 1. assign V666389 = V318282. assign V495742 = V884793 - 1. assign V061835 = V159628. assign V340994 = V079829 + 1. assign V277353 = V625099. assign V930497 = V052944 - 1. assign V157627 = V045781. assign V692691 = V448423 - 1. assign V159628 = V680922. assign V548501 = V817470. assign V314078 = V628973 - 1. assign V193670 = V018511 + 1. assign V693973 = V663139 - 1. assign V942846 = V537447 + 1. assign V649931 = V824985 - 1. assign V453631 = V088716 - 1. assign V987240 = V318282 - 1. assign V763149 = V987240 + 1. assign V190239 = V428107 - 1. assign V428107 = V987240 + 1. assign V611778 = V350278 - 1. assign V626893 = V942846 - 1. assign V284775 = V963450 + 1. assign V508728 = V021876. assign V591333 = V666389 - 1. assign V416782 = V799176 + 1. assign V316257 = V966299 + 1. assign V706055 = V413106. assign V947359 = V457446. assign V822185 = V360744 - 1. assign V962076 = V452348 - 1. assign V367506 = V418687 - 1. assign V629974 = V448423. assign V194703 = V768791 + 1. assign V135924 = V313466 - 1. assign V025779 = V987240. assign V031513 = V609909 + 1. assign V070283 = V987240 + 1. assign V730970 = V147643 - 1. assign V457446 = V147643 - 1. assign V206772 = V147643 - 1. assign V948014 = V418687 + 1. assign V593388 = V763149 + 1. assign V034946 = V358092 - 1. assign V145289 = V462843 + 1. assign V057113 = V066106 + 1. assign V292380 = V380200 - 1. assign V227613 = V206772 + 1. assign V458208 = V573304 + 1. assign V757746 = V025779 + 1. assign V066106 = V147643 + 1. assign V981439 = V135924 + 1. assign V550418 = V628973 - 1. assign V663139 = V227613. assign V886544 = V227613 - 1. assign V372687 = V886544 - 1. assign V088716 = V147643 - 1. assign V456707 = V692691 + 1. assign V259629 = V581498 + 1. assign V579332 = V227613 - 1. assign V137255 = V452348 + 1. assign V042245 = V663139. assign V540457 = V462843 + 1. assign V068218 = V070283 - 1. assign V597241 = V227613 - 1. assign V184675 = V799176. assign V079829 = V963450 + 1. assign V712589 = V537447. assign V609909 = V987240. assign V152246 = V448423 - 1. assign V462843 = V921172 + 1. assign V628973 = V930497 + 1. assign V537447 = V457446 - 1. assign V089892 = V692691. assign V426035 = V591333 + 1. assign V003612 = V706055. assign V358092 = V066106 - 1. assign V422249 = V404836 + 1. assign V804370 = V135924. assign V926884 = V921172 + 1. assign V413106 = V930497 + 1. assign V233423 = V316257 + 1. assign V052944 = V066106 + 1. assign V625099 = V063054. assign V848464 = V079829 - 1. assign V919190 = V963450 + 1. assign V236269 = V663139 + 1. assign V943963 = V548501 + 1. assign V741418 = V817470 + 1. assign V018511 = V057113 - 1. assign V267418 = V987240. assign V547905 = V930497 - 1. assign V229280 = V034946. assign V214277 = V079829 + 1. assign V380200 = V537447. assign V045781 = V227613 + 1. assign V120322 = V508728. assign V443509 = V890336 + 1. assign V581498 = V318282 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV768791 = 0;\n\nFrom these direct assignment(s), we have: \nV194703 = V768791 + 1 = 0 + 1 =1;\nNo other variables can be derived from V194703;\nNo other variables can be derived from V768791;\n\nNow we have done all the calculations. Derived variables are:\nV768791 = 0;\nV194703 = 1;\n\nNow we have finished this problem. ANSWER:\nV194703\n", "role": "assistant" } ]

[ "V182515" ]

[ { "content": "<context>\nassign V891847 = V489833 - 1. assign V728209 = V575607 + 1. assign V111688 = V214438 - 1. assign V175941 = V577510. assign V997909 = V542126. assign V010844 = V840149 - 1. assign V496380 = V214438 + 1. assign V224249 = V363333. assign V651132 = V503786 + 1. assign V290755 = V342198 - 1. assign V310283 = V438852. assign V413649 = V146411 - 1. assign V146664 = V246445 + 1. assign V342198 = V775419. assign V193491 = V182335. assign V281810 = V075790 + 1. assign V596871 = V363333 - 1. assign V638110 = V201379 + 1. assign V629358 = V462326. assign V146411 = V785997 - 1. assign V138234 = V542126 + 1. assign V766137 = V558758 - 1. assign V605089 = V919380 - 1. assign V612306 = V485064 + 1. assign V437707 = V308440 + 1. assign V258539 = V596871 + 1. assign V651830 = V971427. assign V260435 = V775419. assign V471751 = V020977 + 1. assign V266923 = V224249 + 1. assign V124542 = V430163. assign V942192 = V285348. assign V182335 = V621065. assign V285348 = V967793 + 1. assign V095844 = V216215 + 1. assign V216215 = V176143 - 1. assign V226584 = V501807 + 1. assign V438852 = V426575 - 1. assign V625677 = V144840 + 1. assign V045029 = V651240 + 1. assign V062211 = V920391 + 1. assign V810176 = V621065 - 1. assign V462326 = V542126. assign V501807 = V996212. assign V126274 = V146411. assign V115533 = V703009. assign V426575 = V455597 - 1. assign V176143 = V186062 + 1. assign V046061 = V308440. assign V011751 = V266218 - 1. assign V685693 = V046245 + 1. assign V964845 = V260074. assign V485064 = V214438 + 1. assign V153520 = V056971 - 1. assign V581893 = V542126. assign V715617 = V501807. assign V703009 = V426575 - 1. assign V920391 = V501807 + 1. assign V224367 = V246445 - 1. assign V011828 = V017689 - 1. assign V423777 = V124542. assign V512343 = V996212 - 1. assign V565031 = V455597 + 1. assign V903161 = V985347 + 1. assign V120526 = V437707 + 1. assign V337623 = V703009 + 1. assign V665957 = V775419 + 1. assign V971427 = V519822. assign V929508 = V412291. assign V144840 = V214438 - 1. assign V659893 = V260435 - 1. assign V923928 = V996212. assign V606838 = V214438 - 1. assign V919380 = V342198. assign V281959 = V997909 + 1. assign V770915 = V285348. assign V455597 = V996212 + 1. assign V036677 = V011751. assign V090651 = V651132 + 1. assign V017689 = V971427 - 1. assign V098641 = V319899. assign V333231 = V290314. assign V239049 = V581893 + 1. assign V385927 = V037739 - 1. assign V412291 = V997909 - 1. assign V430163 = V412291. assign V569024 = V688472. assign V775419 = V111719. assign V855510 = V903700 - 1. assign V186636 = V923928 - 1. assign V939379 = V224249 - 1. assign V290314 = V193491. assign V559427 = V266218 - 1. assign V363333 = V182335 - 1. assign V985347 = V037739 - 1. assign V588494 = V155216 - 1. assign V012067 = V142511 - 1. assign V903700 = V971427. assign V452233 = V011828 - 1. assign V133963 = V996212 - 1. assign V743652 = V766137 - 1. assign V185127 = V111719 - 1. assign V319899 = V438852 + 1. assign V186062 = V920391. assign V489833 = V412291. assign V961241 = V046245 - 1. assign V523354 = V824722 + 1. assign V996212 = V621065. assign V253160 = V319899. assign V214438 = V455597. assign V355256 = V186636 - 1. assign V983482 = V997909 + 1. assign V046245 = V455597. assign V587103 = V462326 + 1. assign V482724 = V193491 + 1. assign V358296 = V260074 - 1. assign V056971 = V903700 - 1. assign V519822 = V810176. assign V201379 = V651240. assign V553085 = V715617. assign V824722 = V770915 + 1. assign V751352 = V146411 + 1. assign V518055 = V216215 - 1. assign V794152 = V246445 + 1. assign V785997 = V363333. assign V948060 = V584445. assign V386741 = V224249. assign V208180 = V426575. assign V685942 = V065801 + 1. assign V575607 = V430163 - 1. assign V075790 = V186062. assign V503786 = V186636 - 1. assign V888135 = V312983. assign V526474 = V310283 + 1. assign V766171 = V246445. assign V182515 = V621371 - 1. assign V621371 = 1. assign V651240 = V319899 + 1. assign V122200 = V810176. assign V266218 = V412291. assign V153813 = V426575 + 1. assign V967793 = V260074 + 1. assign V674904 = V111688 + 1. assign V701658 = V138234. assign V688472 = V625677 - 1. assign V792848 = V638110. assign V869846 = V090651 + 1. assign V558758 = V412291 + 1. assign V158596 = V355256 + 1. assign V081266 = V224249 + 1. assign V618960 = V588494 - 1. assign V260074 = V621065 + 1. assign V577510 = V923928 + 1. assign V155216 = V020977. assign V168483 = V891847 - 1. assign V748156 = V287485 + 1. assign V542126 = V363333 + 1. assign V312983 = V703009 + 1. assign V840149 = V338219 + 1. assign V584445 = V575607. assign V246445 = V098641. assign V065801 = V703009 + 1. assign V918626 = V462326. assign V037739 = V462326. assign V018331 = V363333 + 1. assign V241172 = V138234 + 1. assign V287485 = V471751 - 1. assign V338219 = V651240 - 1. assign V308440 = V923928 - 1. assign V111719 = V182335. assign V142511 = V920391. assign V020977 = V193491 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V891847 = V489833 - 1. assign V728209 = V575607 + 1. assign V111688 = V214438 - 1. assign V175941 = V577510. assign V997909 = V542126. assign V010844 = V840149 - 1. assign V496380 = V214438 + 1. assign V224249 = V363333. assign V651132 = V503786 + 1. assign V290755 = V342198 - 1. assign V310283 = V438852. assign V413649 = V146411 - 1. assign V146664 = V246445 + 1. assign V342198 = V775419. assign V193491 = V182335. assign V281810 = V075790 + 1. assign V596871 = V363333 - 1. assign V638110 = V201379 + 1. assign V629358 = V462326. assign V146411 = V785997 - 1. assign V138234 = V542126 + 1. assign V766137 = V558758 - 1. assign V605089 = V919380 - 1. assign V612306 = V485064 + 1. assign V437707 = V308440 + 1. assign V258539 = V596871 + 1. assign V651830 = V971427. assign V260435 = V775419. assign V471751 = V020977 + 1. assign V266923 = V224249 + 1. assign V124542 = V430163. assign V942192 = V285348. assign V182335 = V621065. assign V285348 = V967793 + 1. assign V095844 = V216215 + 1. assign V216215 = V176143 - 1. assign V226584 = V501807 + 1. assign V438852 = V426575 - 1. assign V625677 = V144840 + 1. assign V045029 = V651240 + 1. assign V062211 = V920391 + 1. assign V810176 = V621065 - 1. assign V462326 = V542126. assign V501807 = V996212. assign V126274 = V146411. assign V115533 = V703009. assign V426575 = V455597 - 1. assign V176143 = V186062 + 1. assign V046061 = V308440. assign V011751 = V266218 - 1. assign V685693 = V046245 + 1. assign V964845 = V260074. assign V485064 = V214438 + 1. assign V153520 = V056971 - 1. assign V581893 = V542126. assign V715617 = V501807. assign V703009 = V426575 - 1. assign V920391 = V501807 + 1. assign V224367 = V246445 - 1. assign V011828 = V017689 - 1. assign V423777 = V124542. assign V512343 = V996212 - 1. assign V565031 = V455597 + 1. assign V903161 = V985347 + 1. assign V120526 = V437707 + 1. assign V337623 = V703009 + 1. assign V665957 = V775419 + 1. assign V971427 = V519822. assign V929508 = V412291. assign V144840 = V214438 - 1. assign V659893 = V260435 - 1. assign V923928 = V996212. assign V606838 = V214438 - 1. assign V919380 = V342198. assign V281959 = V997909 + 1. assign V770915 = V285348. assign V455597 = V996212 + 1. assign V036677 = V011751. assign V090651 = V651132 + 1. assign V017689 = V971427 - 1. assign V098641 = V319899. assign V333231 = V290314. assign V239049 = V581893 + 1. assign V385927 = V037739 - 1. assign V412291 = V997909 - 1. assign V430163 = V412291. assign V569024 = V688472. assign V775419 = V111719. assign V855510 = V903700 - 1. assign V186636 = V923928 - 1. assign V939379 = V224249 - 1. assign V290314 = V193491. assign V559427 = V266218 - 1. assign V363333 = V182335 - 1. assign V985347 = V037739 - 1. assign V588494 = V155216 - 1. assign V012067 = V142511 - 1. assign V903700 = V971427. assign V452233 = V011828 - 1. assign V133963 = V996212 - 1. assign V743652 = V766137 - 1. assign V185127 = V111719 - 1. assign V319899 = V438852 + 1. assign V186062 = V920391. assign V489833 = V412291. assign V961241 = V046245 - 1. assign V523354 = V824722 + 1. assign V996212 = V621065. assign V253160 = V319899. assign V214438 = V455597. assign V355256 = V186636 - 1. assign V983482 = V997909 + 1. assign V046245 = V455597. assign V587103 = V462326 + 1. assign V482724 = V193491 + 1. assign V358296 = V260074 - 1. assign V056971 = V903700 - 1. assign V519822 = V810176. assign V201379 = V651240. assign V553085 = V715617. assign V824722 = V770915 + 1. assign V751352 = V146411 + 1. assign V518055 = V216215 - 1. assign V794152 = V246445 + 1. assign V785997 = V363333. assign V948060 = V584445. assign V386741 = V224249. assign V208180 = V426575. assign V685942 = V065801 + 1. assign V575607 = V430163 - 1. assign V075790 = V186062. assign V503786 = V186636 - 1. assign V888135 = V312983. assign V526474 = V310283 + 1. assign V766171 = V246445. assign V182515 = V621371 - 1. assign V621371 = 1. assign V651240 = V319899 + 1. assign V122200 = V810176. assign V266218 = V412291. assign V153813 = V426575 + 1. assign V967793 = V260074 + 1. assign V674904 = V111688 + 1. assign V701658 = V138234. assign V688472 = V625677 - 1. assign V792848 = V638110. assign V869846 = V090651 + 1. assign V558758 = V412291 + 1. assign V158596 = V355256 + 1. assign V081266 = V224249 + 1. assign V618960 = V588494 - 1. assign V260074 = V621065 + 1. assign V577510 = V923928 + 1. assign V155216 = V020977. assign V168483 = V891847 - 1. assign V748156 = V287485 + 1. assign V542126 = V363333 + 1. assign V312983 = V703009 + 1. assign V840149 = V338219 + 1. assign V584445 = V575607. assign V246445 = V098641. assign V065801 = V703009 + 1. assign V918626 = V462326. assign V037739 = V462326. assign V018331 = V363333 + 1. assign V241172 = V138234 + 1. assign V287485 = V471751 - 1. assign V338219 = V651240 - 1. assign V308440 = V923928 - 1. assign V111719 = V182335. assign V142511 = V920391. assign V020977 = V193491 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV621371 = 1;\n\nFrom these direct assignment(s), we have: \nV182515 = V621371 - 1 = 1 - 1 =0;\nNo other variables can be derived from V182515;\nNo other variables can be derived from V621371;\n\nNow we have done all the calculations. Derived variables are:\nV621371 = 1;\nV182515 = 0;\n\nNow we have finished this problem. ANSWER:\nV182515\n", "role": "assistant" } ]

[ "V456380" ]

[ { "content": "<context>\nassign V589683 = V811046 + 1. assign V223622 = V486406 + 1. assign V337023 = V999175 - 1. assign V199480 = V653035 + 1. assign V546608 = V388401. assign V040554 = V707834 + 1. assign V253202 = V271848 - 1. assign V837609 = V197152. assign V247656 = V707834 + 1. assign V186470 = V073960 + 1. assign V030036 = V515136 + 1. assign V100105 = V192714. assign V844971 = V707834 - 1. assign V981757 = V040554 - 1. assign V224568 = V789026 + 1. assign V124997 = V458100 - 1. assign V443895 = V125732. assign V619333 = V837609. assign V207456 = V735938 + 1. assign V825894 = V684631 + 1. assign V769569 = V844971 - 1. assign V156713 = V824188 + 1. assign V482906 = V271848. assign V587850 = V657821 + 1. assign V125732 = V945279 - 1. assign V548393 = V091199 - 1. assign V576489 = V820429 - 1. assign V681834 = V752208. assign V775604 = V268141. assign V915947 = V707834 + 1. assign V642181 = V436507 + 1. assign V939211 = V247656 + 1. assign V320443 = V755192. assign V424294 = V388401 - 1. assign V112261 = V999175 - 1. assign V755192 = V167246. assign V547655 = V927963 + 1. assign V765329 = V478701 + 1. assign V945279 = V515136 + 1. assign V316666 = V515136 - 1. assign V793159 = V719381 - 1. assign V211200 = V761784. assign V442740 = V458100 - 1. assign V291167 = V112261. assign V906250 = V040554 + 1. assign V215143 = V775604 + 1. assign V315926 = V073960. assign V513653 = V081110 + 1. assign V490741 = V081110. assign V684631 = V906250 - 1. assign V192714 = V945279 + 1. assign V696961 = V271848. assign V927963 = V999175 - 1. assign V456380 = 5. assign V643791 = V477660 - 1. assign V794796 = V196929. assign V128778 = V294396. assign V287227 = V915947. assign V357359 = V503243 + 1. assign V053665 = V428084. assign V882475 = V099445. assign V546236 = V271848 - 1. assign V524039 = V357359 - 1. assign V294396 = V211989 + 1. assign V372188 = V707834 + 1. assign V478701 = V471296. assign V761784 = V490741. assign V267328 = V112261. assign V515136 = V211989. assign V094511 = V707834 + 1. assign V091199 = V678359. assign V422973 = V135719. assign V756319 = V976417 - 1. assign V471296 = V999175 + 1. assign V736117 = V363048 + 1. assign V926500 = V717913 + 1. assign V372201 = V316666 + 1. assign V529073 = V760821 + 1. assign V171229 = V838649 - 1. assign V152619 = V163114. assign V259891 = V769569. assign V693484 = V615364 - 1. assign V965181 = V091199. assign V976989 = V731254 + 1. assign V350982 = V016092 + 1. assign V653035 = V589683 + 1. assign V584815 = V965181 - 1. assign V982712 = V995916 + 1. assign V553373 = V224993 + 1. assign V185084 = V683302 + 1. assign V672057 = V515136 - 1. assign V914428 = V111826. assign V680247 = V197152 - 1. assign V210400 = V793159. assign V388401 = V081110 - 1. assign V203737 = V976417. assign V122408 = V981757 + 1. assign V678359 = V428084. assign V995916 = V965181. assign V719381 = V981757 - 1. assign V489494 = V546236. assign V079093 = V838649 - 1. assign V477660 = V211989 - 1. assign V571359 = V456380 + 1. assign V754765 = V040554. assign V787507 = V678359 + 1. assign V073960 = V546236 + 1. assign V688677 = V366113. assign V895172 = V218472. assign V856086 = V735938. assign V738902 = V895172 + 1. assign V820429 = V099445 - 1. assign V486406 = V730723 + 1. assign V851539 = V939211 - 1. assign V945170 = V789026 - 1. assign V595228 = V838649 - 1. assign V458100 = V253202. assign V735938 = V112261. assign V211989 = V657821. assign V999175 = V211989 - 1. assign V081110 = V471296 + 1. assign V000435 = V053665. assign V752208 = V192714. assign V135719 = V524925. assign V197152 = V125732 - 1. assign V268141 = V125732. assign V560445 = V684631 - 1. assign V111826 = V619333. assign V205418 = V192714. assign V738106 = V595228. assign V838649 = V707834 - 1. assign V717913 = V197152 - 1. assign V436507 = V125732 + 1. assign V198010 = V294396. assign V824188 = V503243 - 1. assign V048909 = V171229 - 1. assign V753467 = V253202 - 1. assign V524925 = V752208 - 1. assign V099445 = V760821. assign V443693 = V620864 - 1. assign V811046 = V524039 - 1. assign V730723 = V091199 - 1. assign V398126 = V765329. assign V615364 = V515136 + 1. assign V271848 = V907803 + 1. assign V366113 = V595228 - 1. assign V657821 = V707834 - 1. assign V163114 = V047007. assign V825186 = V999175 + 1. assign V503243 = V657821 - 1. assign V976417 = V211989 + 1. assign V620864 = V696961 + 1. assign V196929 = V091199. assign V218517 = V811046 + 1. assign V428084 = V945279 - 1. assign V731254 = V837609. assign V363048 = V755192 + 1. assign V016092 = V730723. assign V888447 = V683302. assign V408994 = V091199 - 1. assign V005844 = V524039 - 1. assign V278762 = V657821 + 1. assign V218472 = V192714 + 1. assign V320063 = V316666 + 1. assign V760821 = V999175 - 1. assign V509468 = V760821 + 1. assign V789026 = V471296. assign V683302 = V477660. assign V907803 = V211989 + 1. assign V047007 = V428084. assign V224993 = V197152 + 1. assign V167246 = V171229 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V589683 = V811046 + 1. assign V223622 = V486406 + 1. assign V337023 = V999175 - 1. assign V199480 = V653035 + 1. assign V546608 = V388401. assign V040554 = V707834 + 1. assign V253202 = V271848 - 1. assign V837609 = V197152. assign V247656 = V707834 + 1. assign V186470 = V073960 + 1. assign V030036 = V515136 + 1. assign V100105 = V192714. assign V844971 = V707834 - 1. assign V981757 = V040554 - 1. assign V224568 = V789026 + 1. assign V124997 = V458100 - 1. assign V443895 = V125732. assign V619333 = V837609. assign V207456 = V735938 + 1. assign V825894 = V684631 + 1. assign V769569 = V844971 - 1. assign V156713 = V824188 + 1. assign V482906 = V271848. assign V587850 = V657821 + 1. assign V125732 = V945279 - 1. assign V548393 = V091199 - 1. assign V576489 = V820429 - 1. assign V681834 = V752208. assign V775604 = V268141. assign V915947 = V707834 + 1. assign V642181 = V436507 + 1. assign V939211 = V247656 + 1. assign V320443 = V755192. assign V424294 = V388401 - 1. assign V112261 = V999175 - 1. assign V755192 = V167246. assign V547655 = V927963 + 1. assign V765329 = V478701 + 1. assign V945279 = V515136 + 1. assign V316666 = V515136 - 1. assign V793159 = V719381 - 1. assign V211200 = V761784. assign V442740 = V458100 - 1. assign V291167 = V112261. assign V906250 = V040554 + 1. assign V215143 = V775604 + 1. assign V315926 = V073960. assign V513653 = V081110 + 1. assign V490741 = V081110. assign V684631 = V906250 - 1. assign V192714 = V945279 + 1. assign V696961 = V271848. assign V927963 = V999175 - 1. assign V456380 = 5. assign V643791 = V477660 - 1. assign V794796 = V196929. assign V128778 = V294396. assign V287227 = V915947. assign V357359 = V503243 + 1. assign V053665 = V428084. assign V882475 = V099445. assign V546236 = V271848 - 1. assign V524039 = V357359 - 1. assign V294396 = V211989 + 1. assign V372188 = V707834 + 1. assign V478701 = V471296. assign V761784 = V490741. assign V267328 = V112261. assign V515136 = V211989. assign V094511 = V707834 + 1. assign V091199 = V678359. assign V422973 = V135719. assign V756319 = V976417 - 1. assign V471296 = V999175 + 1. assign V736117 = V363048 + 1. assign V926500 = V717913 + 1. assign V372201 = V316666 + 1. assign V529073 = V760821 + 1. assign V171229 = V838649 - 1. assign V152619 = V163114. assign V259891 = V769569. assign V693484 = V615364 - 1. assign V965181 = V091199. assign V976989 = V731254 + 1. assign V350982 = V016092 + 1. assign V653035 = V589683 + 1. assign V584815 = V965181 - 1. assign V982712 = V995916 + 1. assign V553373 = V224993 + 1. assign V185084 = V683302 + 1. assign V672057 = V515136 - 1. assign V914428 = V111826. assign V680247 = V197152 - 1. assign V210400 = V793159. assign V388401 = V081110 - 1. assign V203737 = V976417. assign V122408 = V981757 + 1. assign V678359 = V428084. assign V995916 = V965181. assign V719381 = V981757 - 1. assign V489494 = V546236. assign V079093 = V838649 - 1. assign V477660 = V211989 - 1. assign V571359 = V456380 + 1. assign V754765 = V040554. assign V787507 = V678359 + 1. assign V073960 = V546236 + 1. assign V688677 = V366113. assign V895172 = V218472. assign V856086 = V735938. assign V738902 = V895172 + 1. assign V820429 = V099445 - 1. assign V486406 = V730723 + 1. assign V851539 = V939211 - 1. assign V945170 = V789026 - 1. assign V595228 = V838649 - 1. assign V458100 = V253202. assign V735938 = V112261. assign V211989 = V657821. assign V999175 = V211989 - 1. assign V081110 = V471296 + 1. assign V000435 = V053665. assign V752208 = V192714. assign V135719 = V524925. assign V197152 = V125732 - 1. assign V268141 = V125732. assign V560445 = V684631 - 1. assign V111826 = V619333. assign V205418 = V192714. assign V738106 = V595228. assign V838649 = V707834 - 1. assign V717913 = V197152 - 1. assign V436507 = V125732 + 1. assign V198010 = V294396. assign V824188 = V503243 - 1. assign V048909 = V171229 - 1. assign V753467 = V253202 - 1. assign V524925 = V752208 - 1. assign V099445 = V760821. assign V443693 = V620864 - 1. assign V811046 = V524039 - 1. assign V730723 = V091199 - 1. assign V398126 = V765329. assign V615364 = V515136 + 1. assign V271848 = V907803 + 1. assign V366113 = V595228 - 1. assign V657821 = V707834 - 1. assign V163114 = V047007. assign V825186 = V999175 + 1. assign V503243 = V657821 - 1. assign V976417 = V211989 + 1. assign V620864 = V696961 + 1. assign V196929 = V091199. assign V218517 = V811046 + 1. assign V428084 = V945279 - 1. assign V731254 = V837609. assign V363048 = V755192 + 1. assign V016092 = V730723. assign V888447 = V683302. assign V408994 = V091199 - 1. assign V005844 = V524039 - 1. assign V278762 = V657821 + 1. assign V218472 = V192714 + 1. assign V320063 = V316666 + 1. assign V760821 = V999175 - 1. assign V509468 = V760821 + 1. assign V789026 = V471296. assign V683302 = V477660. assign V907803 = V211989 + 1. assign V047007 = V428084. assign V224993 = V197152 + 1. assign V167246 = V171229 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV456380 = 5;\n\nFrom these direct assignment(s), we have: \nV571359 = V456380 + 1 = 5 + 1 =6;\nNo other variables can be derived from V571359;\nNo other variables can be derived from V456380;\n\nNow we have done all the calculations. Derived variables are:\nV456380 = 5;\nV571359 = 6;\n\nNow we have finished this problem. ANSWER:\nV456380\n", "role": "assistant" } ]

[ "V018682" ]

[ { "content": "<context>\nassign V244222 = V368644 + 1. assign V574251 = V699491. assign V007144 = V402969. assign V757041 = V942193. assign V448773 = V875756. assign V542895 = V095242 - 1. assign V359737 = V356115 + 1. assign V554608 = V823356 + 1. assign V779753 = V226838 - 1. assign V023719 = V368644 - 1. assign V281374 = V755266 - 1. assign V227030 = V705445. assign V335430 = V265842 - 1. assign V388319 = V133780 - 1. assign V015842 = V670304 + 1. assign V676086 = V823356 + 1. assign V546744 = V141790 - 1. assign V133780 = V475313 + 1. assign V388095 = V921481 - 1. assign V592843 = V846949 + 1. assign V667021 = V519381. assign V113905 = V604436 + 1. assign V193639 = V675488 + 1. assign V912602 = V086169. assign V395084 = V886971 + 1. assign V366202 = V892498. assign V534268 = V653298. assign V018682 = V736424 - 1. assign V942193 = V978876 + 1. assign V289024 = V546744 - 1. assign V892498 = V880266 - 1. assign V557592 = V368644 + 1. assign V514873 = V670304 + 1. assign V804236 = V942193 + 1. assign V368644 = V388095 + 1. assign V475313 = V029809 - 1. assign V501126 = V721466 + 1. assign V141790 = V767786. assign V194793 = V626115 + 1. assign V271525 = V499035 - 1. assign V844099 = V356115 - 1. assign V972408 = V267712 - 1. assign V748730 = V142617 + 1. assign V081741 = V754972 - 1. assign V229454 = V080284 + 1. assign V068976 = V546329 + 1. assign V670304 = V368644 + 1. assign V997063 = V268121 + 1. assign V119575 = V232520 - 1. assign V190298 = V653298 + 1. assign V463494 = V323845 - 1. assign V558447 = V705445 - 1. assign V391933 = V023719. assign V116271 = V050140 - 1. assign V767786 = V542895 + 1. assign V846949 = V923146. assign V271102 = V287183. assign V708717 = V267712 + 1. assign V578768 = V463494 + 1. assign V880266 = V675488 - 1. assign V699491 = V335430 - 1. assign V356042 = V198825 + 1. assign V580102 = V921481 + 1. assign V418150 = V402969 - 1. assign V268121 = V187890 - 1. assign V050105 = V565346 + 1. assign V287183 = V418150 + 1. assign V095242 = V675488 + 1. assign V296978 = V635461 + 1. assign V499035 = V964701. assign V923146 = V519381 - 1. assign V280947 = V886971. assign V735409 = V755266 + 1. assign V858629 = V239563. assign V029809 = V921481. assign V243065 = V978876. assign V780922 = V755266 - 1. assign V771016 = V484423 + 1. assign V361756 = V268121. assign V755266 = V193639 - 1. assign V522839 = V226995 - 1. assign V779093 = V565346 - 1. assign V312597 = V796412. assign V721227 = V080284 + 1. assign V323845 = V554608 + 1. assign V946306 = V921481 + 1. assign V615291 = V193639 - 1. assign V957501 = V376479. assign V699298 = V484423 + 1. assign V095973 = V733650. assign V356115 = V335430 + 1. assign V839784 = V733650. assign V437658 = V068976 - 1. assign V814683 = V578767 + 1. assign V267712 = V356115 + 1. assign V278698 = V779753 - 1. assign V222267 = V514873. assign V353606 = V732480 + 1. assign V232520 = V715192 + 1. assign V142617 = V567052. assign V376479 = V923146. assign V165817 = V187890 + 1. assign V246203 = V626115. assign V453765 = V942193 - 1. assign V478725 = V875756. assign V050140 = V857073 + 1. assign V112258 = V675488 - 1. assign V754972 = V946306 + 1. assign V278002 = V141790. assign V505349 = V193639 + 1. assign V932297 = V453765 - 1. assign V675488 = V921481. assign V604436 = V796412. assign V126650 = V112258 - 1. assign V080284 = V359737 + 1. assign V567052 = V165817 - 1. assign V964701 = V187890. assign V226995 = V226838. assign V705445 = V875756 - 1. assign V736424 = 7. assign V259277 = V296978 - 1. assign V265842 = V095242 - 1. assign V719299 = V839784 + 1. assign V715192 = V964701 + 1. assign V586199 = V095242 - 1. assign V245123 = V359737. assign V317265 = V519381. assign V204062 = V949350. assign V221851 = V892498. assign V857073 = V356115. assign V565346 = V779753 + 1. assign V780961 = V193639. assign V269850 = V546744. assign V978876 = V335430 + 1. assign V519381 = V359737 + 1. assign V163786 = V921481 + 1. assign V859944 = V849893 - 1. assign V086169 = V880266 + 1. assign V731225 = V604436. assign V484423 = V780961 - 1. assign V709276 = V359737 - 1. assign V311865 = V580102. assign V239563 = V029809 - 1. assign V875756 = V415171 - 1. assign V849893 = V239563 - 1. assign V226838 = V356115 - 1. assign V578767 = V286148 + 1. assign V761545 = V839784 + 1. assign V635461 = V580102 - 1. assign V732480 = V163786. assign V616243 = V923146 - 1. assign V286148 = V296978 + 1. assign V402969 = V265842. assign V796412 = V921481. assign V733650 = V265842 - 1. assign V886971 = V574251 + 1. assign V198825 = V388095. assign V653298 = V268121 + 1. assign V181280 = V921481. assign V626115 = V823356 - 1. assign V685774 = V580102. assign V546329 = V415171 + 1. assign V949350 = V368644 + 1. assign V512451 = V335430 + 1. assign V721466 = V095242 - 1. assign V128184 = V335430 - 1. assign V415171 = V265842. assign V823356 = V388095 - 1. assign V489561 = V519381 - 1. assign V187890 = V388095. assign V413364 = V705445 - 1. assign V494701 = V376479 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V244222 = V368644 + 1. assign V574251 = V699491. assign V007144 = V402969. assign V757041 = V942193. assign V448773 = V875756. assign V542895 = V095242 - 1. assign V359737 = V356115 + 1. assign V554608 = V823356 + 1. assign V779753 = V226838 - 1. assign V023719 = V368644 - 1. assign V281374 = V755266 - 1. assign V227030 = V705445. assign V335430 = V265842 - 1. assign V388319 = V133780 - 1. assign V015842 = V670304 + 1. assign V676086 = V823356 + 1. assign V546744 = V141790 - 1. assign V133780 = V475313 + 1. assign V388095 = V921481 - 1. assign V592843 = V846949 + 1. assign V667021 = V519381. assign V113905 = V604436 + 1. assign V193639 = V675488 + 1. assign V912602 = V086169. assign V395084 = V886971 + 1. assign V366202 = V892498. assign V534268 = V653298. assign V018682 = V736424 - 1. assign V942193 = V978876 + 1. assign V289024 = V546744 - 1. assign V892498 = V880266 - 1. assign V557592 = V368644 + 1. assign V514873 = V670304 + 1. assign V804236 = V942193 + 1. assign V368644 = V388095 + 1. assign V475313 = V029809 - 1. assign V501126 = V721466 + 1. assign V141790 = V767786. assign V194793 = V626115 + 1. assign V271525 = V499035 - 1. assign V844099 = V356115 - 1. assign V972408 = V267712 - 1. assign V748730 = V142617 + 1. assign V081741 = V754972 - 1. assign V229454 = V080284 + 1. assign V068976 = V546329 + 1. assign V670304 = V368644 + 1. assign V997063 = V268121 + 1. assign V119575 = V232520 - 1. assign V190298 = V653298 + 1. assign V463494 = V323845 - 1. assign V558447 = V705445 - 1. assign V391933 = V023719. assign V116271 = V050140 - 1. assign V767786 = V542895 + 1. assign V846949 = V923146. assign V271102 = V287183. assign V708717 = V267712 + 1. assign V578768 = V463494 + 1. assign V880266 = V675488 - 1. assign V699491 = V335430 - 1. assign V356042 = V198825 + 1. assign V580102 = V921481 + 1. assign V418150 = V402969 - 1. assign V268121 = V187890 - 1. assign V050105 = V565346 + 1. assign V287183 = V418150 + 1. assign V095242 = V675488 + 1. assign V296978 = V635461 + 1. assign V499035 = V964701. assign V923146 = V519381 - 1. assign V280947 = V886971. assign V735409 = V755266 + 1. assign V858629 = V239563. assign V029809 = V921481. assign V243065 = V978876. assign V780922 = V755266 - 1. assign V771016 = V484423 + 1. assign V361756 = V268121. assign V755266 = V193639 - 1. assign V522839 = V226995 - 1. assign V779093 = V565346 - 1. assign V312597 = V796412. assign V721227 = V080284 + 1. assign V323845 = V554608 + 1. assign V946306 = V921481 + 1. assign V615291 = V193639 - 1. assign V957501 = V376479. assign V699298 = V484423 + 1. assign V095973 = V733650. assign V356115 = V335430 + 1. assign V839784 = V733650. assign V437658 = V068976 - 1. assign V814683 = V578767 + 1. assign V267712 = V356115 + 1. assign V278698 = V779753 - 1. assign V222267 = V514873. assign V353606 = V732480 + 1. assign V232520 = V715192 + 1. assign V142617 = V567052. assign V376479 = V923146. assign V165817 = V187890 + 1. assign V246203 = V626115. assign V453765 = V942193 - 1. assign V478725 = V875756. assign V050140 = V857073 + 1. assign V112258 = V675488 - 1. assign V754972 = V946306 + 1. assign V278002 = V141790. assign V505349 = V193639 + 1. assign V932297 = V453765 - 1. assign V675488 = V921481. assign V604436 = V796412. assign V126650 = V112258 - 1. assign V080284 = V359737 + 1. assign V567052 = V165817 - 1. assign V964701 = V187890. assign V226995 = V226838. assign V705445 = V875756 - 1. assign V736424 = 7. assign V259277 = V296978 - 1. assign V265842 = V095242 - 1. assign V719299 = V839784 + 1. assign V715192 = V964701 + 1. assign V586199 = V095242 - 1. assign V245123 = V359737. assign V317265 = V519381. assign V204062 = V949350. assign V221851 = V892498. assign V857073 = V356115. assign V565346 = V779753 + 1. assign V780961 = V193639. assign V269850 = V546744. assign V978876 = V335430 + 1. assign V519381 = V359737 + 1. assign V163786 = V921481 + 1. assign V859944 = V849893 - 1. assign V086169 = V880266 + 1. assign V731225 = V604436. assign V484423 = V780961 - 1. assign V709276 = V359737 - 1. assign V311865 = V580102. assign V239563 = V029809 - 1. assign V875756 = V415171 - 1. assign V849893 = V239563 - 1. assign V226838 = V356115 - 1. assign V578767 = V286148 + 1. assign V761545 = V839784 + 1. assign V635461 = V580102 - 1. assign V732480 = V163786. assign V616243 = V923146 - 1. assign V286148 = V296978 + 1. assign V402969 = V265842. assign V796412 = V921481. assign V733650 = V265842 - 1. assign V886971 = V574251 + 1. assign V198825 = V388095. assign V653298 = V268121 + 1. assign V181280 = V921481. assign V626115 = V823356 - 1. assign V685774 = V580102. assign V546329 = V415171 + 1. assign V949350 = V368644 + 1. assign V512451 = V335430 + 1. assign V721466 = V095242 - 1. assign V128184 = V335430 - 1. assign V415171 = V265842. assign V823356 = V388095 - 1. assign V489561 = V519381 - 1. assign V187890 = V388095. assign V413364 = V705445 - 1. assign V494701 = V376479 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV736424 = 7;\n\nFrom these direct assignment(s), we have: \nV018682 = V736424 - 1 = 7 - 1 =6;\nNo other variables can be derived from V018682;\nNo other variables can be derived from V736424;\n\nNow we have done all the calculations. Derived variables are:\nV736424 = 7;\nV018682 = 6;\n\nNow we have finished this problem. ANSWER:\nV018682\n", "role": "assistant" } ]

[ "V368581" ]

[ { "content": "<context>\nassign V276660 = V997111. assign V997111 = V059857. assign V991812 = V767728 - 1. assign V774584 = V799572 - 1. assign V919024 = V922588 - 1. assign V989673 = V451096. assign V934505 = V881783 - 1. assign V550171 = V965545 - 1. assign V636879 = V336391. assign V962882 = V065764. assign V075647 = V339515 + 1. assign V056921 = V774557 + 1. assign V386981 = V324151. assign V999172 = V652817 - 1. assign V359813 = V059857. assign V489687 = V289497. assign V511539 = V999172 - 1. assign V752162 = V649658. assign V393155 = V282741. assign V880643 = V938519. assign V117893 = V332533 + 1. assign V674404 = V339515 + 1. assign V445912 = V760317 - 1. assign V885118 = V285224 - 1. assign V514260 = V285224 - 1. assign V339515 = V668486 - 1. assign V842196 = V286672. assign V938519 = V586246 + 1. assign V587047 = V276660 - 1. assign V806584 = V149793. assign V894025 = V059857. assign V407774 = V079181 - 1. assign V336391 = V289497 + 1. assign V491622 = V965545. assign V324151 = V149793. assign V473820 = V962882 - 1. assign V917367 = V997111 - 1. assign V652244 = V282741. assign V076713 = V029850. assign V347486 = V853469. assign V121798 = V131684. assign V285224 = V037252. assign V909408 = V587047 - 1. assign V141222 = V878787 - 1. assign V783490 = V289497 - 1. assign V788575 = V328335. assign V681757 = V881783 + 1. assign V774557 = V037252 - 1. assign V098419 = V276660 + 1. assign V922588 = V149793. assign V586246 = V649658 + 1. assign V146960 = V567200. assign V912051 = V934652 - 1. assign V330098 = V068955 - 1. assign V037252 = V155675 + 1. assign V328335 = V894025 - 1. assign V057469 = V652817. assign V176635 = V378450 - 1. assign V451096 = V878787 + 1. assign V853469 = V148423 + 1. assign V159025 = V878787. assign V290310 = V079181 - 1. assign V767728 = V181984 - 1. assign V494003 = V652817. assign V566286 = V680607 + 1. assign V065764 = V566286. assign V994165 = V814572. assign V289497 = V037252 - 1. assign V799572 = V752349 + 1. assign V059857 = V489687 - 1. assign V335796 = V289497. assign V477318 = V680607. assign V279549 = V853469. assign V396699 = V652244 - 1. assign V708738 = V417847 + 1. assign V824776 = V965545. assign V254509 = V083061 + 1. assign V286672 = V083061 + 1. assign V946342 = V098419 - 1. assign V900456 = V276660 - 1. assign V181984 = V289497 + 1. assign V691053 = V149793 - 1. assign V149793 = V649658 + 1. assign V963394 = V285224 + 1. assign V840573 = V997111 + 1. assign V649658 = V155675. assign V789102 = V514260 - 1. assign V705898 = V445912 + 1. assign V148423 = V155675 + 1. assign V859774 = V285224 + 1. assign V861147 = V330098. assign V562065 = V960594 + 1. assign V934652 = V774557 + 1. assign V814572 = V149793. assign V282741 = V037252. assign V866695 = V894025. assign V960594 = V285224 + 1. assign V780549 = V037252 - 1. assign V332533 = V289497 + 1. assign V100921 = V117893 - 1. assign V301125 = V075890. assign V878787 = V068955 - 1. assign V528189 = V117893 + 1. assign V279247 = V336391. assign V567200 = V586246 - 1. assign V618713 = V279549. assign V367237 = V277335 + 1. assign V827143 = V492497 + 1. assign V594529 = V637038 - 1. assign V938003 = V276660. assign V069195 = V075890 - 1. assign V097577 = V089335 - 1. assign V668486 = V760317. assign V761277 = V636879 - 1. assign V490419 = V396699. assign V157103 = V396699. assign V368581 = 0. assign V965545 = V708738 + 1. assign V169544 = V652244. assign V884490 = V100921. assign V817420 = V881783. assign V541301 = V029850. assign V752349 = V866695. assign V679758 = V100921 - 1. assign V131684 = V492497 + 1. assign V089335 = V680607 + 1. assign V535714 = V098419 - 1. assign V273717 = V037252 - 1. assign V584208 = V919024 - 1. assign V702709 = V997111 + 1. assign V637038 = V960594. assign V417847 = V282741. assign V881783 = V117893 - 1. assign V680607 = V059857 - 1. assign V378450 = V788575. assign V548206 = V289497 + 1. assign V079181 = V767728. assign V214846 = V894025 + 1. assign V014402 = V652244 + 1. assign V075890 = V760317. assign V545544 = V994165 - 1. assign V131012 = V068955. assign V250185 = V149793 - 1. assign V830676 = V909408 + 1. assign V895277 = V149793. assign V421134 = V550171. assign V947864 = V421134. assign V083061 = V489687 - 1. assign V385936 = V083061. assign V277335 = V586246 - 1. assign V068955 = V100921 - 1. assign V657134 = V760317 + 1. assign V760317 = V037252 - 1. assign V005167 = V117893 - 1. assign V070306 = V324151. assign V460631 = V176635. assign V959880 = V774557 + 1. assign V260214 = V367237 - 1. assign V391891 = V368581 + 1. assign V889996 = V881783. assign V405585 = V181984. assign V632867 = V277335 - 1. assign V935336 = V141222 + 1. assign V029850 = V780549. assign V053833 = V884490. assign V066836 = V417847 + 1. assign V043767 = V884490 - 1. assign V652817 = V652244. assign V492497 = V866695. assign V108035 = V649658 + 1. assign V275949 = V894025 - 1. assign V277536 = V528189 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V276660 = V997111. assign V997111 = V059857. assign V991812 = V767728 - 1. assign V774584 = V799572 - 1. assign V919024 = V922588 - 1. assign V989673 = V451096. assign V934505 = V881783 - 1. assign V550171 = V965545 - 1. assign V636879 = V336391. assign V962882 = V065764. assign V075647 = V339515 + 1. assign V056921 = V774557 + 1. assign V386981 = V324151. assign V999172 = V652817 - 1. assign V359813 = V059857. assign V489687 = V289497. assign V511539 = V999172 - 1. assign V752162 = V649658. assign V393155 = V282741. assign V880643 = V938519. assign V117893 = V332533 + 1. assign V674404 = V339515 + 1. assign V445912 = V760317 - 1. assign V885118 = V285224 - 1. assign V514260 = V285224 - 1. assign V339515 = V668486 - 1. assign V842196 = V286672. assign V938519 = V586246 + 1. assign V587047 = V276660 - 1. assign V806584 = V149793. assign V894025 = V059857. assign V407774 = V079181 - 1. assign V336391 = V289497 + 1. assign V491622 = V965545. assign V324151 = V149793. assign V473820 = V962882 - 1. assign V917367 = V997111 - 1. assign V652244 = V282741. assign V076713 = V029850. assign V347486 = V853469. assign V121798 = V131684. assign V285224 = V037252. assign V909408 = V587047 - 1. assign V141222 = V878787 - 1. assign V783490 = V289497 - 1. assign V788575 = V328335. assign V681757 = V881783 + 1. assign V774557 = V037252 - 1. assign V098419 = V276660 + 1. assign V922588 = V149793. assign V586246 = V649658 + 1. assign V146960 = V567200. assign V912051 = V934652 - 1. assign V330098 = V068955 - 1. assign V037252 = V155675 + 1. assign V328335 = V894025 - 1. assign V057469 = V652817. assign V176635 = V378450 - 1. assign V451096 = V878787 + 1. assign V853469 = V148423 + 1. assign V159025 = V878787. assign V290310 = V079181 - 1. assign V767728 = V181984 - 1. assign V494003 = V652817. assign V566286 = V680607 + 1. assign V065764 = V566286. assign V994165 = V814572. assign V289497 = V037252 - 1. assign V799572 = V752349 + 1. assign V059857 = V489687 - 1. assign V335796 = V289497. assign V477318 = V680607. assign V279549 = V853469. assign V396699 = V652244 - 1. assign V708738 = V417847 + 1. assign V824776 = V965545. assign V254509 = V083061 + 1. assign V286672 = V083061 + 1. assign V946342 = V098419 - 1. assign V900456 = V276660 - 1. assign V181984 = V289497 + 1. assign V691053 = V149793 - 1. assign V149793 = V649658 + 1. assign V963394 = V285224 + 1. assign V840573 = V997111 + 1. assign V649658 = V155675. assign V789102 = V514260 - 1. assign V705898 = V445912 + 1. assign V148423 = V155675 + 1. assign V859774 = V285224 + 1. assign V861147 = V330098. assign V562065 = V960594 + 1. assign V934652 = V774557 + 1. assign V814572 = V149793. assign V282741 = V037252. assign V866695 = V894025. assign V960594 = V285224 + 1. assign V780549 = V037252 - 1. assign V332533 = V289497 + 1. assign V100921 = V117893 - 1. assign V301125 = V075890. assign V878787 = V068955 - 1. assign V528189 = V117893 + 1. assign V279247 = V336391. assign V567200 = V586246 - 1. assign V618713 = V279549. assign V367237 = V277335 + 1. assign V827143 = V492497 + 1. assign V594529 = V637038 - 1. assign V938003 = V276660. assign V069195 = V075890 - 1. assign V097577 = V089335 - 1. assign V668486 = V760317. assign V761277 = V636879 - 1. assign V490419 = V396699. assign V157103 = V396699. assign V368581 = 0. assign V965545 = V708738 + 1. assign V169544 = V652244. assign V884490 = V100921. assign V817420 = V881783. assign V541301 = V029850. assign V752349 = V866695. assign V679758 = V100921 - 1. assign V131684 = V492497 + 1. assign V089335 = V680607 + 1. assign V535714 = V098419 - 1. assign V273717 = V037252 - 1. assign V584208 = V919024 - 1. assign V702709 = V997111 + 1. assign V637038 = V960594. assign V417847 = V282741. assign V881783 = V117893 - 1. assign V680607 = V059857 - 1. assign V378450 = V788575. assign V548206 = V289497 + 1. assign V079181 = V767728. assign V214846 = V894025 + 1. assign V014402 = V652244 + 1. assign V075890 = V760317. assign V545544 = V994165 - 1. assign V131012 = V068955. assign V250185 = V149793 - 1. assign V830676 = V909408 + 1. assign V895277 = V149793. assign V421134 = V550171. assign V947864 = V421134. assign V083061 = V489687 - 1. assign V385936 = V083061. assign V277335 = V586246 - 1. assign V068955 = V100921 - 1. assign V657134 = V760317 + 1. assign V760317 = V037252 - 1. assign V005167 = V117893 - 1. assign V070306 = V324151. assign V460631 = V176635. assign V959880 = V774557 + 1. assign V260214 = V367237 - 1. assign V391891 = V368581 + 1. assign V889996 = V881783. assign V405585 = V181984. assign V632867 = V277335 - 1. assign V935336 = V141222 + 1. assign V029850 = V780549. assign V053833 = V884490. assign V066836 = V417847 + 1. assign V043767 = V884490 - 1. assign V652817 = V652244. assign V492497 = V866695. assign V108035 = V649658 + 1. assign V275949 = V894025 - 1. assign V277536 = V528189 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV368581 = 0;\n\nFrom these direct assignment(s), we have: \nV391891 = V368581 + 1 = 0 + 1 =1;\nNo other variables can be derived from V391891;\nNo other variables can be derived from V368581;\n\nNow we have done all the calculations. Derived variables are:\nV368581 = 0;\nV391891 = 1;\n\nNow we have finished this problem. ANSWER:\nV368581\n", "role": "assistant" } ]

[ "V102409" ]

[ { "content": "<context>\nassign V703570 = V458238 - 1. assign V451203 = V680906. assign V307819 = V075579 - 1. assign V467536 = V023627. assign V829380 = V337422 - 1. assign V062903 = V301406 + 1. assign V868005 = V467536 - 1. assign V514549 = V572043 - 1. assign V684960 = V128205. assign V796968 = V767443 + 1. assign V058762 = V197809 - 1. assign V739010 = V131843. assign V045068 = V424309. assign V548829 = V182600 + 1. assign V416867 = V925943. assign V841826 = V271619 - 1. assign V332939 = V064661 + 1. assign V998160 = V750131. assign V750105 = V034803 - 1. assign V560261 = V132509 - 1. assign V170036 = V572043 + 1. assign V226216 = V062903. assign V779273 = V688427. assign V128205 = V619024 + 1. assign V314773 = V386079 + 1. assign V461331 = V688427 - 1. assign V663906 = V990384. assign V375490 = V181531 + 1. assign V607912 = V750131 + 1. assign V046413 = V482150. assign V633409 = V064661 - 1. assign V118113 = V951844 - 1. assign V925943 = V750131 - 1. assign V124131 = V153539. assign V770882 = V868005 - 1. assign V889288 = V770882 - 1. assign V951844 = V560261 + 1. assign V921934 = V455980 - 1. assign V807746 = V058048 + 1. assign V157964 = V407257. assign V064661 = V925943. assign V060959 = V686119. assign V438853 = V197809. assign V093752 = V680906 - 1. assign V144073 = V407270 - 1. assign V491164 = V925943 - 1. assign V646631 = V482150 - 1. assign V583707 = V182600 + 1. assign V075066 = V454386. assign V680906 = V750131. assign V686963 = V453270. assign V407257 = V491164. assign V552207 = V455980 + 1. assign V977380 = V058048 + 1. assign V757684 = V407270 + 1. assign V059307 = V306300. assign V203914 = V714109. assign V458238 = V680906 + 1. assign V590345 = V560261. assign V502499 = V314773 - 1. assign V271619 = V750131 - 1. assign V373543 = V750105 - 1. assign V235353 = V951844. assign V453270 = V311276 + 1. assign V014722 = V619024 - 1. assign V005185 = V368045 - 1. assign V919283 = V646631 - 1. assign V985735 = V467536 - 1. assign V603238 = V704539 + 1. assign V686119 = V023627. assign V767443 = V467536 + 1. assign V843026 = V607912 - 1. assign V132509 = V750105 - 1. assign V455980 = V467536 - 1. assign V688427 = V877413 + 1. assign V960530 = V767443 - 1. assign V349274 = V375490 + 1. assign V197809 = V335137 + 1. assign V481767 = V383297 - 1. assign V075579 = V034803 - 1. assign V362551 = V016386 + 1. assign V181531 = V925943 - 1. assign V337422 = V767443 - 1. assign V153539 = V680906. assign V704539 = V125722 + 1. assign V670037 = V451203 - 1. assign V181207 = V046413. assign V563564 = V790156 - 1. assign V159182 = V491164. assign V226783 = V034803 + 1. assign V910245 = V560261 + 1. assign V896520 = V990384 - 1. assign V051800 = V552207 - 1. assign V997336 = V198727. assign V302562 = V300464 - 1. assign V037477 = V688427 - 1. assign V165907 = V809133. assign V454386 = V455980 - 1. assign V983877 = V198727. assign V441892 = V889288. assign V272548 = V951844 + 1. assign V750131 = V750105 - 1. assign V131843 = V560261 + 1. assign V376697 = V560261 - 1. assign V737651 = V407270. assign V752659 = V235353 - 1. assign V849490 = V889288 - 1. assign V300464 = V767443. assign V419198 = V349274 - 1. assign V037925 = V646631. assign V191421 = V603238 + 1. assign V015088 = V226783 - 1. assign V353040 = V157964. assign V423647 = 3. assign V082533 = V779273 + 1. assign V536001 = V607912 + 1. assign V809133 = V931280 + 1. assign V023627 = V034803. assign V016386 = V132509. assign V945094 = V198727 - 1. assign V889836 = V438853. assign V335137 = V023627. assign V572043 = V767443 + 1. assign V344387 = V170036 - 1. assign V990384 = V945094 + 1. assign V207917 = V023627 - 1. assign V099257 = V062903 + 1. assign V071842 = V877413 + 1. assign V383297 = V619024 - 1. assign V407270 = V877413. assign V125722 = V943263 + 1. assign V687196 = V034803 + 1. assign V386079 = V796968 + 1. assign V251925 = V843026. assign V931280 = V458238. assign V970301 = V407270 - 1. assign V783712 = V064661 + 1. assign V474775 = V353040 - 1. assign V898881 = V983877. assign V790156 = V779273. assign V542403 = V438853. assign V070978 = V197809. assign V424309 = V037098. assign V306300 = V353040 + 1. assign V037098 = V688427 + 1. assign V256163 = V687196 - 1. assign V058048 = V386079 + 1. assign V368045 = V688427. assign V219172 = V034803 - 1. assign V548034 = V082533. assign V790754 = V687196 + 1. assign V943263 = V198727 + 1. assign V714109 = V153539 + 1. assign V436850 = V467536 + 1. assign V361528 = V034803 + 1. assign V663146 = V945094. assign V648814 = V619024 + 1. assign V301406 = V407257 + 1. assign V311276 = V688427 + 1. assign V604962 = V046413 + 1. assign V799873 = V687196. assign V182600 = V455980 + 1. assign V076514 = V467536 + 1. assign V161379 = V951844. assign V860964 = V877413 - 1. assign V877413 = V023627. assign V619024 = V960530 - 1. assign V102409 = V423647 + 1. assign V198727 = V750105 - 1. assign V335176 = V376697 - 1. assign V482150 = V687196 - 1. assign V384984 = V687196 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V703570 = V458238 - 1. assign V451203 = V680906. assign V307819 = V075579 - 1. assign V467536 = V023627. assign V829380 = V337422 - 1. assign V062903 = V301406 + 1. assign V868005 = V467536 - 1. assign V514549 = V572043 - 1. assign V684960 = V128205. assign V796968 = V767443 + 1. assign V058762 = V197809 - 1. assign V739010 = V131843. assign V045068 = V424309. assign V548829 = V182600 + 1. assign V416867 = V925943. assign V841826 = V271619 - 1. assign V332939 = V064661 + 1. assign V998160 = V750131. assign V750105 = V034803 - 1. assign V560261 = V132509 - 1. assign V170036 = V572043 + 1. assign V226216 = V062903. assign V779273 = V688427. assign V128205 = V619024 + 1. assign V314773 = V386079 + 1. assign V461331 = V688427 - 1. assign V663906 = V990384. assign V375490 = V181531 + 1. assign V607912 = V750131 + 1. assign V046413 = V482150. assign V633409 = V064661 - 1. assign V118113 = V951844 - 1. assign V925943 = V750131 - 1. assign V124131 = V153539. assign V770882 = V868005 - 1. assign V889288 = V770882 - 1. assign V951844 = V560261 + 1. assign V921934 = V455980 - 1. assign V807746 = V058048 + 1. assign V157964 = V407257. assign V064661 = V925943. assign V060959 = V686119. assign V438853 = V197809. assign V093752 = V680906 - 1. assign V144073 = V407270 - 1. assign V491164 = V925943 - 1. assign V646631 = V482150 - 1. assign V583707 = V182600 + 1. assign V075066 = V454386. assign V680906 = V750131. assign V686963 = V453270. assign V407257 = V491164. assign V552207 = V455980 + 1. assign V977380 = V058048 + 1. assign V757684 = V407270 + 1. assign V059307 = V306300. assign V203914 = V714109. assign V458238 = V680906 + 1. assign V590345 = V560261. assign V502499 = V314773 - 1. assign V271619 = V750131 - 1. assign V373543 = V750105 - 1. assign V235353 = V951844. assign V453270 = V311276 + 1. assign V014722 = V619024 - 1. assign V005185 = V368045 - 1. assign V919283 = V646631 - 1. assign V985735 = V467536 - 1. assign V603238 = V704539 + 1. assign V686119 = V023627. assign V767443 = V467536 + 1. assign V843026 = V607912 - 1. assign V132509 = V750105 - 1. assign V455980 = V467536 - 1. assign V688427 = V877413 + 1. assign V960530 = V767443 - 1. assign V349274 = V375490 + 1. assign V197809 = V335137 + 1. assign V481767 = V383297 - 1. assign V075579 = V034803 - 1. assign V362551 = V016386 + 1. assign V181531 = V925943 - 1. assign V337422 = V767443 - 1. assign V153539 = V680906. assign V704539 = V125722 + 1. assign V670037 = V451203 - 1. assign V181207 = V046413. assign V563564 = V790156 - 1. assign V159182 = V491164. assign V226783 = V034803 + 1. assign V910245 = V560261 + 1. assign V896520 = V990384 - 1. assign V051800 = V552207 - 1. assign V997336 = V198727. assign V302562 = V300464 - 1. assign V037477 = V688427 - 1. assign V165907 = V809133. assign V454386 = V455980 - 1. assign V983877 = V198727. assign V441892 = V889288. assign V272548 = V951844 + 1. assign V750131 = V750105 - 1. assign V131843 = V560261 + 1. assign V376697 = V560261 - 1. assign V737651 = V407270. assign V752659 = V235353 - 1. assign V849490 = V889288 - 1. assign V300464 = V767443. assign V419198 = V349274 - 1. assign V037925 = V646631. assign V191421 = V603238 + 1. assign V015088 = V226783 - 1. assign V353040 = V157964. assign V423647 = 3. assign V082533 = V779273 + 1. assign V536001 = V607912 + 1. assign V809133 = V931280 + 1. assign V023627 = V034803. assign V016386 = V132509. assign V945094 = V198727 - 1. assign V889836 = V438853. assign V335137 = V023627. assign V572043 = V767443 + 1. assign V344387 = V170036 - 1. assign V990384 = V945094 + 1. assign V207917 = V023627 - 1. assign V099257 = V062903 + 1. assign V071842 = V877413 + 1. assign V383297 = V619024 - 1. assign V407270 = V877413. assign V125722 = V943263 + 1. assign V687196 = V034803 + 1. assign V386079 = V796968 + 1. assign V251925 = V843026. assign V931280 = V458238. assign V970301 = V407270 - 1. assign V783712 = V064661 + 1. assign V474775 = V353040 - 1. assign V898881 = V983877. assign V790156 = V779273. assign V542403 = V438853. assign V070978 = V197809. assign V424309 = V037098. assign V306300 = V353040 + 1. assign V037098 = V688427 + 1. assign V256163 = V687196 - 1. assign V058048 = V386079 + 1. assign V368045 = V688427. assign V219172 = V034803 - 1. assign V548034 = V082533. assign V790754 = V687196 + 1. assign V943263 = V198727 + 1. assign V714109 = V153539 + 1. assign V436850 = V467536 + 1. assign V361528 = V034803 + 1. assign V663146 = V945094. assign V648814 = V619024 + 1. assign V301406 = V407257 + 1. assign V311276 = V688427 + 1. assign V604962 = V046413 + 1. assign V799873 = V687196. assign V182600 = V455980 + 1. assign V076514 = V467536 + 1. assign V161379 = V951844. assign V860964 = V877413 - 1. assign V877413 = V023627. assign V619024 = V960530 - 1. assign V102409 = V423647 + 1. assign V198727 = V750105 - 1. assign V335176 = V376697 - 1. assign V482150 = V687196 - 1. assign V384984 = V687196 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV423647 = 3;\n\nFrom these direct assignment(s), we have: \nV102409 = V423647 + 1 = 3 + 1 =4;\nNo other variables can be derived from V102409;\nNo other variables can be derived from V423647;\n\nNow we have done all the calculations. Derived variables are:\nV423647 = 3;\nV102409 = 4;\n\nNow we have finished this problem. ANSWER:\nV102409\n", "role": "assistant" } ]

[ "V120132", "V578787" ]

[ { "content": "<context>\nassign V070914 = V300503 + 1. assign V613079 = V211056 + 1. assign V302315 = V592920 - 1. assign V206408 = V216171. assign V331915 = V779475. assign V797274 = V654634 - 1. assign V772172 = V052376 - 1. assign V824882 = V808200 + 1. assign V236846 = V959365 + 1. assign V037402 = V819735 - 1. assign V258598 = V302315 + 1. assign V271209 = V779475 + 1. assign V439356 = V373343 + 1. assign V960881 = V331915. assign V904341 = V175146. assign V889270 = V211056 - 1. assign V767453 = V324068. assign V750201 = V331915. assign V449182 = V243330 + 1. assign V729455 = V684189. assign V741850 = V608073. assign V808200 = V373343. assign V191460 = V518523 + 1. assign V981180 = V302315. assign V817614 = V271196 - 1. assign V846964 = V373343 + 1. assign V394201 = V151589. assign V994450 = V321651. assign V243311 = V025333. assign V290949 = V119042 - 1. assign V044450 = V183046 - 1. assign V639636 = V074534. assign V118781 = V611245. assign V679803 = V810592 - 1. assign V592402 = V559166 - 1. assign V331382 = V449182 - 1. assign V521053 = V196075 - 1. assign V023695 = V243330. assign V757048 = V312819. assign V861941 = V592920 - 1. assign V096578 = V959365 + 1. assign V723436 = V747552. assign V473264 = V400463. assign V592920 = V959365 + 1. assign V562293 = V368096 - 1. assign V312819 = V239446. assign V400463 = V592920 + 1. assign V491506 = V959365 - 1. assign V728149 = V236846. assign V608073 = V196075. assign V196075 = V400463 + 1. assign V914466 = V506709 - 1. assign V534594 = V741850. assign V675162 = V934709 + 1. assign V129836 = V300932 + 1. assign V175146 = V506709 - 1. assign V392828 = V729455. assign V410617 = V236846 - 1. assign V936584 = V576670 - 1. assign V662030 = V871730. assign V525601 = V936584 + 1. assign V892026 = V654692. assign V201826 = V654634 - 1. assign V654692 = V608073 + 1. assign V415069 = V115097 - 1. assign V844152 = V008776. assign V518297 = V576670 + 1. assign V144711 = V373343 + 1. assign V321651 = V773681 + 1. assign V239446 = V439356. assign V525475 = V096235 - 1. assign V662751 = V151589 + 1. assign V386126 = V190735. assign V453926 = V889270. assign V595420 = V773681 + 1. assign V975035 = V936584 - 1. assign V779475 = V119042 + 1. assign V633037 = V512630 - 1. assign V617309 = V773681 + 1. assign V512630 = V779617 - 1. assign V518523 = V400463 - 1. assign V271196 = V454767 - 1. assign V207605 = V534594 + 1. assign V373343 = V684189 - 1. assign V778913 = V654692 + 1. assign V211056 = V245994. assign V636641 = V386126. assign V539312 = V779475. assign V249518 = V290949 - 1. assign V105846 = V233552. assign V684189 = V959365. assign V183046 = V819735. assign V586379 = V025333 + 1. assign V030653 = V312819 + 1. assign V312363 = V654692. assign V115097 = V592920 + 1. assign V245292 = V373343 - 1. assign V233552 = V388743. assign V074534 = V959365 + 1. assign V568534 = V377192 - 1. assign V665376 = V684189 - 1. assign V013444 = V151589 + 1. assign V971699 = V934709 - 1. assign V142481 = V525475 + 1. assign V578787 = V120132. assign V671584 = V510422 - 1. assign V510422 = V872083 + 1. assign V187846 = V576670. assign V610394 = V971699 - 1. assign V190735 = V255578 - 1. assign V506709 = V779475. assign V836081 = V239446 + 1. assign V557247 = V324068 - 1. assign V773681 = V684189. assign V300932 = V639636 + 1. assign V787800 = V074534 + 1. assign V915308 = V662751. assign V025333 = V365914 - 1. assign V886725 = V368096 + 1. assign V163361 = V129836. assign V394766 = V454767 - 1. assign V119042 = V365914 + 1. assign V972050 = V377192 + 1. assign V611245 = V608073. assign V255578 = V119042 - 1. assign V572894 = V915308 - 1. assign V099422 = V119042 + 1. assign V366398 = V183046 + 1. assign V245994 = V728149 - 1. assign V609758 = V592920 - 1. assign V593342 = V959365 + 1. assign V959365 = V819735 + 1. assign V866697 = V368096. assign V008776 = V023695. assign V652976 = V175146 + 1. assign V576670 = V183046 - 1. assign V553139 = V723436 + 1. assign V096235 = V365914 + 1. assign V120132 = 8. assign V154065 = V506709 + 1. assign V747552 = V096578. assign V052376 = V096235 + 1. assign V151589 = V439356. assign V654634 = V216171 + 1. assign V779617 = V449182. assign V377192 = V779617 + 1. assign V216171 = V144711. assign V683820 = V129836. assign V680516 = V936584. assign V336584 = V728149 - 1. assign V388743 = V915308 + 1. assign V934709 = V088193 + 1. assign V368096 = V243330. assign V885561 = V747552 - 1. assign V603925 = V235063 + 1. assign V240408 = V654634. assign V871730 = V787800 + 1. assign V243330 = V236846 - 1. assign V235063 = V239446 + 1. assign V616704 = V609758 - 1. assign V559166 = V729455 + 1. assign V365914 = V819735 - 1. assign V724264 = V652976 + 1. assign V647323 = V373343 - 1. assign V919838 = V836081 + 1. assign V929691 = V271209 + 1. assign V088193 = V023695 - 1. assign V300503 = V388743 - 1. assign V324068 = V915308 + 1. assign V454767 = V872083 - 1. assign V810592 = V684189. assign V872083 = V243330.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V070914 = V300503 + 1. assign V613079 = V211056 + 1. assign V302315 = V592920 - 1. assign V206408 = V216171. assign V331915 = V779475. assign V797274 = V654634 - 1. assign V772172 = V052376 - 1. assign V824882 = V808200 + 1. assign V236846 = V959365 + 1. assign V037402 = V819735 - 1. assign V258598 = V302315 + 1. assign V271209 = V779475 + 1. assign V439356 = V373343 + 1. assign V960881 = V331915. assign V904341 = V175146. assign V889270 = V211056 - 1. assign V767453 = V324068. assign V750201 = V331915. assign V449182 = V243330 + 1. assign V729455 = V684189. assign V741850 = V608073. assign V808200 = V373343. assign V191460 = V518523 + 1. assign V981180 = V302315. assign V817614 = V271196 - 1. assign V846964 = V373343 + 1. assign V394201 = V151589. assign V994450 = V321651. assign V243311 = V025333. assign V290949 = V119042 - 1. assign V044450 = V183046 - 1. assign V639636 = V074534. assign V118781 = V611245. assign V679803 = V810592 - 1. assign V592402 = V559166 - 1. assign V331382 = V449182 - 1. assign V521053 = V196075 - 1. assign V023695 = V243330. assign V757048 = V312819. assign V861941 = V592920 - 1. assign V096578 = V959365 + 1. assign V723436 = V747552. assign V473264 = V400463. assign V592920 = V959365 + 1. assign V562293 = V368096 - 1. assign V312819 = V239446. assign V400463 = V592920 + 1. assign V491506 = V959365 - 1. assign V728149 = V236846. assign V608073 = V196075. assign V196075 = V400463 + 1. assign V914466 = V506709 - 1. assign V534594 = V741850. assign V675162 = V934709 + 1. assign V129836 = V300932 + 1. assign V175146 = V506709 - 1. assign V392828 = V729455. assign V410617 = V236846 - 1. assign V936584 = V576670 - 1. assign V662030 = V871730. assign V525601 = V936584 + 1. assign V892026 = V654692. assign V201826 = V654634 - 1. assign V654692 = V608073 + 1. assign V415069 = V115097 - 1. assign V844152 = V008776. assign V518297 = V576670 + 1. assign V144711 = V373343 + 1. assign V321651 = V773681 + 1. assign V239446 = V439356. assign V525475 = V096235 - 1. assign V662751 = V151589 + 1. assign V386126 = V190735. assign V453926 = V889270. assign V595420 = V773681 + 1. assign V975035 = V936584 - 1. assign V779475 = V119042 + 1. assign V633037 = V512630 - 1. assign V617309 = V773681 + 1. assign V512630 = V779617 - 1. assign V518523 = V400463 - 1. assign V271196 = V454767 - 1. assign V207605 = V534594 + 1. assign V373343 = V684189 - 1. assign V778913 = V654692 + 1. assign V211056 = V245994. assign V636641 = V386126. assign V539312 = V779475. assign V249518 = V290949 - 1. assign V105846 = V233552. assign V684189 = V959365. assign V183046 = V819735. assign V586379 = V025333 + 1. assign V030653 = V312819 + 1. assign V312363 = V654692. assign V115097 = V592920 + 1. assign V245292 = V373343 - 1. assign V233552 = V388743. assign V074534 = V959365 + 1. assign V568534 = V377192 - 1. assign V665376 = V684189 - 1. assign V013444 = V151589 + 1. assign V971699 = V934709 - 1. assign V142481 = V525475 + 1. assign V578787 = V120132. assign V671584 = V510422 - 1. assign V510422 = V872083 + 1. assign V187846 = V576670. assign V610394 = V971699 - 1. assign V190735 = V255578 - 1. assign V506709 = V779475. assign V836081 = V239446 + 1. assign V557247 = V324068 - 1. assign V773681 = V684189. assign V300932 = V639636 + 1. assign V787800 = V074534 + 1. assign V915308 = V662751. assign V025333 = V365914 - 1. assign V886725 = V368096 + 1. assign V163361 = V129836. assign V394766 = V454767 - 1. assign V119042 = V365914 + 1. assign V972050 = V377192 + 1. assign V611245 = V608073. assign V255578 = V119042 - 1. assign V572894 = V915308 - 1. assign V099422 = V119042 + 1. assign V366398 = V183046 + 1. assign V245994 = V728149 - 1. assign V609758 = V592920 - 1. assign V593342 = V959365 + 1. assign V959365 = V819735 + 1. assign V866697 = V368096. assign V008776 = V023695. assign V652976 = V175146 + 1. assign V576670 = V183046 - 1. assign V553139 = V723436 + 1. assign V096235 = V365914 + 1. assign V120132 = 8. assign V154065 = V506709 + 1. assign V747552 = V096578. assign V052376 = V096235 + 1. assign V151589 = V439356. assign V654634 = V216171 + 1. assign V779617 = V449182. assign V377192 = V779617 + 1. assign V216171 = V144711. assign V683820 = V129836. assign V680516 = V936584. assign V336584 = V728149 - 1. assign V388743 = V915308 + 1. assign V934709 = V088193 + 1. assign V368096 = V243330. assign V885561 = V747552 - 1. assign V603925 = V235063 + 1. assign V240408 = V654634. assign V871730 = V787800 + 1. assign V243330 = V236846 - 1. assign V235063 = V239446 + 1. assign V616704 = V609758 - 1. assign V559166 = V729455 + 1. assign V365914 = V819735 - 1. assign V724264 = V652976 + 1. assign V647323 = V373343 - 1. assign V919838 = V836081 + 1. assign V929691 = V271209 + 1. assign V088193 = V023695 - 1. assign V300503 = V388743 - 1. assign V324068 = V915308 + 1. assign V454767 = V872083 - 1. assign V810592 = V684189. assign V872083 = V243330.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV120132 = 8;\n\nFrom these direct assignment(s), we have: \nV578787 = V120132 = 8;\nNo other variables can be derived from V578787;\nNo other variables can be derived from V120132;\n\nNow we have done all the calculations. Derived variables are:\nV120132 = 8;\nV578787 = 8;\n\nNow we have finished this problem. ANSWER:\nV120132, V578787\n", "role": "assistant" } ]

[ "V902053", "V134654" ]

[ { "content": "<context>\nassign V654390 = V288260 + 1. assign V865978 = V879245. assign V780939 = V150185 - 1. assign V353519 = V806276 + 1. assign V817159 = V501965. assign V207062 = V173706 - 1. assign V632915 = V114018 - 1. assign V830072 = V244349 + 1. assign V787461 = V367645 - 1. assign V523132 = V564528 + 1. assign V633153 = V486554. assign V824888 = V817159. assign V881834 = V792228 - 1. assign V910451 = V938713. assign V049790 = V250819. assign V076355 = V313185. assign V210012 = V323160 + 1. assign V542821 = V003328 + 1. assign V291823 = V684358 - 1. assign V027583 = V157278 + 1. assign V451148 = V398131. assign V251139 = V152227 - 1. assign V920581 = V654390. assign V269128 = V027583 - 1. assign V003328 = V981647. assign V037603 = V797971. assign V250819 = V699203 + 1. assign V709593 = V056713. assign V152227 = V797971. assign V340037 = V280289 + 1. assign V564528 = V114018. assign V178813 = V680385 - 1. assign V486906 = V148839. assign V722586 = V633153. assign V489476 = V680385 + 1. assign V006934 = V773813. assign V114018 = V076355 - 1. assign V267414 = V920581 - 1. assign V280289 = V521995 - 1. assign V760183 = V920581 + 1. assign V059323 = V250819. assign V974343 = V564528 + 1. assign V930771 = V271408. assign V871084 = V554835 - 1. assign V757746 = V621793 - 1. assign V205013 = V523132. assign V288260 = V995500. assign V291201 = V003328. assign V280587 = V496333 + 1. assign V398131 = V925621. assign V510619 = V250819 - 1. assign V018548 = V792228 - 1. assign V678529 = V839033 - 1. assign V717626 = V757746 - 1. assign V278185 = V145614 + 1. assign V319256 = V621793 + 1. assign V620194 = V654390. assign V581337 = V667582. assign V173706 = V475816 + 1. assign V253938 = V145614 - 1. assign V998996 = V839033 + 1. assign V145614 = V313185 + 1. assign V256192 = V757746 - 1. assign V597112 = V288260. assign V630039 = V486906. assign V084142 = V128089 + 1. assign V503737 = V610257 - 1. assign V546707 = V157278. assign V124348 = V266917 - 1. assign V660357 = V620194 - 1. assign V588801 = V680385 - 1. assign V434076 = V684358. assign V323160 = V081458. assign V059492 = V046115. assign V271408 = V925621 - 1. assign V621793 = V202311 - 1. assign V732018 = V597112 - 1. assign V676184 = V581337. assign V417829 = V398131. assign V919669 = V319256. assign V699203 = V486906 - 1. assign V554835 = V546707. assign V124462 = V056713. assign V594027 = V721071 + 1. assign V224447 = V148839 - 1. assign V797971 = V521995 - 1. assign V256320 = V173706. assign V667582 = V995500. assign V806276 = V574422. assign V621707 = V353519 + 1. assign V278983 = V037603 - 1. assign V792228 = V667582. assign V064036 = V056713 + 1. assign V858201 = V128089 + 1. assign V784924 = V076355 - 1. assign V940712 = V667582 + 1. assign V839033 = V630039 + 1. assign V556902 = V920581 + 1. assign V081458 = V076355 - 1. assign V409625 = V251139. assign V610257 = V081458 + 1. assign V568542 = V486906 - 1. assign V955990 = V006934. assign V918878 = V610257 - 1. assign V375464 = V760183 - 1. assign V879245 = V266917 + 1. assign V424457 = V084142 - 1. assign V202311 = V521995 - 1. assign V550577 = V056713. assign V419213 = V574422 - 1. assign V157278 = V081458 - 1. assign V869591 = V037603 - 1. assign V196579 = V486554 + 1. assign V038905 = V940712. assign V501965 = V398131. assign V736803 = V291201. assign V643551 = V486554 + 1. assign V475816 = V278185. assign V367645 = V288260 - 1. assign V266917 = V699203. assign V086329 = V231188 - 1. assign V917327 = V253938 - 1. assign V684358 = V231188 - 1. assign V995500 = V076355 - 1. assign V534435 = V564528. assign V150185 = V278185. assign V850583 = V398131 + 1. assign V141675 = V773813. assign V463665 = V494032 + 1. assign V680385 = V204910. assign V686517 = V684358 + 1. assign V925621 = V288260 - 1. assign V494032 = V244349 + 1. assign V155169 = V839033 + 1. assign V327793 = V056713 + 1. assign V046115 = V675981. assign V204910 = V323160. assign V773813 = V521995 - 1. assign V838416 = V621707. assign V721071 = V510619 - 1. assign V231188 = V678529 + 1. assign V396599 = V633153 - 1. assign V278720 = V983641 - 1. assign V056713 = V486906 + 1. assign V134654 = V902053. assign V902053 = 2. assign V851732 = V633153 + 1. assign V981647 = V278185 + 1. assign V521995 = V278185. assign V423713 = V510619. assign V239129 = V925621 + 1. assign V326489 = V817159 + 1. assign V486554 = V597112 - 1. assign V938713 = V995500 + 1. assign V515642 = V806276 + 1. assign V225082 = V881834. assign V128089 = V621793 + 1. assign V198500 = V280289 - 1. assign V496333 = V148839 - 1. assign V244349 = V313185. assign V028939 = V541543 - 1. assign V675981 = V632915 + 1. assign V468873 = V784924 - 1. assign V247924 = V858201 - 1. assign V949041 = V056713. assign V983641 = V266917. assign V535816 = V757746. assign V245812 = V667582. assign V574422 = V157278 - 1. assign V820465 = V173706 + 1. assign V541543 = V084142 + 1. assign V148839 = V313185.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V654390 = V288260 + 1. assign V865978 = V879245. assign V780939 = V150185 - 1. assign V353519 = V806276 + 1. assign V817159 = V501965. assign V207062 = V173706 - 1. assign V632915 = V114018 - 1. assign V830072 = V244349 + 1. assign V787461 = V367645 - 1. assign V523132 = V564528 + 1. assign V633153 = V486554. assign V824888 = V817159. assign V881834 = V792228 - 1. assign V910451 = V938713. assign V049790 = V250819. assign V076355 = V313185. assign V210012 = V323160 + 1. assign V542821 = V003328 + 1. assign V291823 = V684358 - 1. assign V027583 = V157278 + 1. assign V451148 = V398131. assign V251139 = V152227 - 1. assign V920581 = V654390. assign V269128 = V027583 - 1. assign V003328 = V981647. assign V037603 = V797971. assign V250819 = V699203 + 1. assign V709593 = V056713. assign V152227 = V797971. assign V340037 = V280289 + 1. assign V564528 = V114018. assign V178813 = V680385 - 1. assign V486906 = V148839. assign V722586 = V633153. assign V489476 = V680385 + 1. assign V006934 = V773813. assign V114018 = V076355 - 1. assign V267414 = V920581 - 1. assign V280289 = V521995 - 1. assign V760183 = V920581 + 1. assign V059323 = V250819. assign V974343 = V564528 + 1. assign V930771 = V271408. assign V871084 = V554835 - 1. assign V757746 = V621793 - 1. assign V205013 = V523132. assign V288260 = V995500. assign V291201 = V003328. assign V280587 = V496333 + 1. assign V398131 = V925621. assign V510619 = V250819 - 1. assign V018548 = V792228 - 1. assign V678529 = V839033 - 1. assign V717626 = V757746 - 1. assign V278185 = V145614 + 1. assign V319256 = V621793 + 1. assign V620194 = V654390. assign V581337 = V667582. assign V173706 = V475816 + 1. assign V253938 = V145614 - 1. assign V998996 = V839033 + 1. assign V145614 = V313185 + 1. assign V256192 = V757746 - 1. assign V597112 = V288260. assign V630039 = V486906. assign V084142 = V128089 + 1. assign V503737 = V610257 - 1. assign V546707 = V157278. assign V124348 = V266917 - 1. assign V660357 = V620194 - 1. assign V588801 = V680385 - 1. assign V434076 = V684358. assign V323160 = V081458. assign V059492 = V046115. assign V271408 = V925621 - 1. assign V621793 = V202311 - 1. assign V732018 = V597112 - 1. assign V676184 = V581337. assign V417829 = V398131. assign V919669 = V319256. assign V699203 = V486906 - 1. assign V554835 = V546707. assign V124462 = V056713. assign V594027 = V721071 + 1. assign V224447 = V148839 - 1. assign V797971 = V521995 - 1. assign V256320 = V173706. assign V667582 = V995500. assign V806276 = V574422. assign V621707 = V353519 + 1. assign V278983 = V037603 - 1. assign V792228 = V667582. assign V064036 = V056713 + 1. assign V858201 = V128089 + 1. assign V784924 = V076355 - 1. assign V940712 = V667582 + 1. assign V839033 = V630039 + 1. assign V556902 = V920581 + 1. assign V081458 = V076355 - 1. assign V409625 = V251139. assign V610257 = V081458 + 1. assign V568542 = V486906 - 1. assign V955990 = V006934. assign V918878 = V610257 - 1. assign V375464 = V760183 - 1. assign V879245 = V266917 + 1. assign V424457 = V084142 - 1. assign V202311 = V521995 - 1. assign V550577 = V056713. assign V419213 = V574422 - 1. assign V157278 = V081458 - 1. assign V869591 = V037603 - 1. assign V196579 = V486554 + 1. assign V038905 = V940712. assign V501965 = V398131. assign V736803 = V291201. assign V643551 = V486554 + 1. assign V475816 = V278185. assign V367645 = V288260 - 1. assign V266917 = V699203. assign V086329 = V231188 - 1. assign V917327 = V253938 - 1. assign V684358 = V231188 - 1. assign V995500 = V076355 - 1. assign V534435 = V564528. assign V150185 = V278185. assign V850583 = V398131 + 1. assign V141675 = V773813. assign V463665 = V494032 + 1. assign V680385 = V204910. assign V686517 = V684358 + 1. assign V925621 = V288260 - 1. assign V494032 = V244349 + 1. assign V155169 = V839033 + 1. assign V327793 = V056713 + 1. assign V046115 = V675981. assign V204910 = V323160. assign V773813 = V521995 - 1. assign V838416 = V621707. assign V721071 = V510619 - 1. assign V231188 = V678529 + 1. assign V396599 = V633153 - 1. assign V278720 = V983641 - 1. assign V056713 = V486906 + 1. assign V134654 = V902053. assign V902053 = 2. assign V851732 = V633153 + 1. assign V981647 = V278185 + 1. assign V521995 = V278185. assign V423713 = V510619. assign V239129 = V925621 + 1. assign V326489 = V817159 + 1. assign V486554 = V597112 - 1. assign V938713 = V995500 + 1. assign V515642 = V806276 + 1. assign V225082 = V881834. assign V128089 = V621793 + 1. assign V198500 = V280289 - 1. assign V496333 = V148839 - 1. assign V244349 = V313185. assign V028939 = V541543 - 1. assign V675981 = V632915 + 1. assign V468873 = V784924 - 1. assign V247924 = V858201 - 1. assign V949041 = V056713. assign V983641 = V266917. assign V535816 = V757746. assign V245812 = V667582. assign V574422 = V157278 - 1. assign V820465 = V173706 + 1. assign V541543 = V084142 + 1. assign V148839 = V313185.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV902053 = 2;\n\nFrom these direct assignment(s), we have: \nV134654 = V902053 = 2;\nNo other variables can be derived from V134654;\nNo other variables can be derived from V902053;\n\nNow we have done all the calculations. Derived variables are:\nV902053 = 2;\nV134654 = 2;\n\nNow we have finished this problem. ANSWER:\nV902053, V134654\n", "role": "assistant" } ]

[ "V634770" ]

[ { "content": "<context>\nassign V704963 = V275681. assign V423520 = V889791 - 1. assign V715099 = V543913 - 1. assign V356918 = V237921 + 1. assign V443154 = V195539 - 1. assign V542777 = V112096. assign V331772 = V154763 - 1. assign V889791 = V447347. assign V187190 = V849103 - 1. assign V017474 = V949778. assign V206365 = V289771. assign V551843 = V543913. assign V684683 = V883667. assign V677333 = V582242 + 1. assign V253501 = V878829 + 1. assign V075296 = V126065 - 1. assign V300794 = V185959 - 1. assign V182802 = V402300 + 1. assign V590553 = V528389 - 1. assign V182080 = V122761 - 1. assign V284339 = V582586 - 1. assign V536236 = V410260 - 1. assign V467711 = V482840 + 1. assign V669106 = V168887 - 1. assign V185959 = V601865. assign V307110 = V058877 - 1. assign V787731 = V482840 - 1. assign V410260 = V543913 - 1. assign V846622 = V387714 - 1. assign V822105 = V505707. assign V900478 = V584002. assign V519409 = V092263 - 1. assign V154763 = V205224. assign V447347 = V574516 - 1. assign V551576 = V304077 - 1. assign V922863 = V543913 + 1. assign V824255 = V949778 - 1. assign V738565 = V582242 + 1. assign V419689 = V915636 - 1. assign V341694 = V112096 - 1. assign V915636 = V840096 + 1. assign V186520 = V896173 - 1. assign V304077 = V983726 + 1. assign V080498 = V548922. assign V092263 = V462328 + 1. assign V878829 = V582242 - 1. assign V990498 = V453210. assign V387714 = V253501 - 1. assign V418658 = V528389. assign V353510 = V289771 + 1. assign V380772 = V042466 - 1. assign V890654 = V195539 - 1. assign V058877 = V445449 - 1. assign V889710 = V300794 - 1. assign V834504 = V536236 + 1. assign V617253 = V308924. assign V117553 = V838499 - 1. assign V922009 = V482840 + 1. assign V858217 = V840096. assign V423000 = V484523. assign V402300 = V838499 + 1. assign V564465 = V949778 + 1. assign V838499 = V584002 - 1. assign V582242 = V543913 + 1. assign V437923 = V660353 - 1. assign V445449 = V702027 - 1. assign V449884 = V599740. assign V528389 = V289771. assign V949778 = V447347 - 1. assign V163106 = V489951. assign V275681 = V869972 - 1. assign V275253 = V168887. assign V109618 = V990498. assign V611032 = V353510 - 1. assign V645852 = V883667. assign V616619 = V402300 + 1. assign V042466 = V528389 + 1. assign V959714 = V112096 + 1. assign V289771 = V482840 - 1. assign V883667 = V484523. assign V239524 = V702027. assign V262351 = V543913. assign V376172 = V849103 - 1. assign V156391 = V875410. assign V417176 = V289771 - 1. assign V833880 = V069191. assign V849103 = V126065. assign V701854 = V163106 + 1. assign V168887 = V484523 + 1. assign V925303 = V126065. assign V558274 = V356918. assign V731952 = V744149 - 1. assign V574759 = V289771 - 1. assign V592722 = V135602 - 1. assign V469599 = V449884 - 1. assign V840096 = V574516 - 1. assign V869972 = V702027 + 1. assign V063209 = V878829 + 1. assign V896173 = V168887. assign V543913 = V482840 - 1. assign V245090 = V574759. assign V791219 = V505707. assign V412280 = V447347 - 1. assign V095045 = V582242. assign V205224 = V353510. assign V967687 = V574759 - 1. assign V482840 = V574516 - 1. assign V505707 = V489951 - 1. assign V348628 = V900478 - 1. assign V702027 = V289771 - 1. assign V744149 = V889791 + 1. assign V584002 = V702027. assign V352359 = V840096 + 1. assign V168653 = V584002 - 1. assign V548922 = V543913 - 1. assign V195539 = V875410 + 1. assign V065908 = V275681 + 1. assign V980436 = V584002 + 1. assign V769736 = V543913. assign V586828 = V423520 - 1. assign V614277 = V715099 - 1. assign V601865 = V858217. assign V192106 = V321568 - 1. assign V139637 = V418658 - 1. assign V824593 = V791219 - 1. assign V166360 = V617253 + 1. assign V818238 = V715099. assign V068662 = V166360. assign V742917 = V548922 - 1. assign V152523 = V417176 - 1. assign V489951 = V543913 - 1. assign V440912 = V528389. assign V990184 = V677333. assign V453210 = V669106. assign V056953 = V590553. assign V582586 = V548922 + 1. assign V397398 = V634770 + 1. assign V596364 = V482840. assign V660353 = V922009 + 1. assign V421124 = V838499 - 1. assign V321568 = V376172 - 1. assign V659835 = V042466 + 1. assign V154028 = V551576. assign V604155 = V445449 + 1. assign V437394 = V601865 - 1. assign V627574 = V505707. assign V306291 = V144857 - 1. assign V755110 = V187190 - 1. assign V112096 = V402300. assign V380357 = V564465. assign V144857 = V402300. assign V054035 = V586828 - 1. assign V106691 = V402300 - 1. assign V291820 = V482840. assign V724019 = V592722. assign V069191 = V163106 - 1. assign V734527 = V117553 + 1. assign V109108 = V590553 - 1. assign V122761 = V584002. assign V484523 = V505707. assign V237921 = V380772 + 1. assign V308924 = V447347. assign V135602 = V590553 + 1. assign V760523 = V990498 + 1. assign V573268 = V289771 + 1. assign V983726 = V949778 - 1. assign V462328 = V599740. assign V126065 = V702027 - 1. assign V634770 = 9. assign V875410 = V627574 - 1. assign V599740 = V308924 - 1. assign V928507 = V376172.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V704963 = V275681. assign V423520 = V889791 - 1. assign V715099 = V543913 - 1. assign V356918 = V237921 + 1. assign V443154 = V195539 - 1. assign V542777 = V112096. assign V331772 = V154763 - 1. assign V889791 = V447347. assign V187190 = V849103 - 1. assign V017474 = V949778. assign V206365 = V289771. assign V551843 = V543913. assign V684683 = V883667. assign V677333 = V582242 + 1. assign V253501 = V878829 + 1. assign V075296 = V126065 - 1. assign V300794 = V185959 - 1. assign V182802 = V402300 + 1. assign V590553 = V528389 - 1. assign V182080 = V122761 - 1. assign V284339 = V582586 - 1. assign V536236 = V410260 - 1. assign V467711 = V482840 + 1. assign V669106 = V168887 - 1. assign V185959 = V601865. assign V307110 = V058877 - 1. assign V787731 = V482840 - 1. assign V410260 = V543913 - 1. assign V846622 = V387714 - 1. assign V822105 = V505707. assign V900478 = V584002. assign V519409 = V092263 - 1. assign V154763 = V205224. assign V447347 = V574516 - 1. assign V551576 = V304077 - 1. assign V922863 = V543913 + 1. assign V824255 = V949778 - 1. assign V738565 = V582242 + 1. assign V419689 = V915636 - 1. assign V341694 = V112096 - 1. assign V915636 = V840096 + 1. assign V186520 = V896173 - 1. assign V304077 = V983726 + 1. assign V080498 = V548922. assign V092263 = V462328 + 1. assign V878829 = V582242 - 1. assign V990498 = V453210. assign V387714 = V253501 - 1. assign V418658 = V528389. assign V353510 = V289771 + 1. assign V380772 = V042466 - 1. assign V890654 = V195539 - 1. assign V058877 = V445449 - 1. assign V889710 = V300794 - 1. assign V834504 = V536236 + 1. assign V617253 = V308924. assign V117553 = V838499 - 1. assign V922009 = V482840 + 1. assign V858217 = V840096. assign V423000 = V484523. assign V402300 = V838499 + 1. assign V564465 = V949778 + 1. assign V838499 = V584002 - 1. assign V582242 = V543913 + 1. assign V437923 = V660353 - 1. assign V445449 = V702027 - 1. assign V449884 = V599740. assign V528389 = V289771. assign V949778 = V447347 - 1. assign V163106 = V489951. assign V275681 = V869972 - 1. assign V275253 = V168887. assign V109618 = V990498. assign V611032 = V353510 - 1. assign V645852 = V883667. assign V616619 = V402300 + 1. assign V042466 = V528389 + 1. assign V959714 = V112096 + 1. assign V289771 = V482840 - 1. assign V883667 = V484523. assign V239524 = V702027. assign V262351 = V543913. assign V376172 = V849103 - 1. assign V156391 = V875410. assign V417176 = V289771 - 1. assign V833880 = V069191. assign V849103 = V126065. assign V701854 = V163106 + 1. assign V168887 = V484523 + 1. assign V925303 = V126065. assign V558274 = V356918. assign V731952 = V744149 - 1. assign V574759 = V289771 - 1. assign V592722 = V135602 - 1. assign V469599 = V449884 - 1. assign V840096 = V574516 - 1. assign V869972 = V702027 + 1. assign V063209 = V878829 + 1. assign V896173 = V168887. assign V543913 = V482840 - 1. assign V245090 = V574759. assign V791219 = V505707. assign V412280 = V447347 - 1. assign V095045 = V582242. assign V205224 = V353510. assign V967687 = V574759 - 1. assign V482840 = V574516 - 1. assign V505707 = V489951 - 1. assign V348628 = V900478 - 1. assign V702027 = V289771 - 1. assign V744149 = V889791 + 1. assign V584002 = V702027. assign V352359 = V840096 + 1. assign V168653 = V584002 - 1. assign V548922 = V543913 - 1. assign V195539 = V875410 + 1. assign V065908 = V275681 + 1. assign V980436 = V584002 + 1. assign V769736 = V543913. assign V586828 = V423520 - 1. assign V614277 = V715099 - 1. assign V601865 = V858217. assign V192106 = V321568 - 1. assign V139637 = V418658 - 1. assign V824593 = V791219 - 1. assign V166360 = V617253 + 1. assign V818238 = V715099. assign V068662 = V166360. assign V742917 = V548922 - 1. assign V152523 = V417176 - 1. assign V489951 = V543913 - 1. assign V440912 = V528389. assign V990184 = V677333. assign V453210 = V669106. assign V056953 = V590553. assign V582586 = V548922 + 1. assign V397398 = V634770 + 1. assign V596364 = V482840. assign V660353 = V922009 + 1. assign V421124 = V838499 - 1. assign V321568 = V376172 - 1. assign V659835 = V042466 + 1. assign V154028 = V551576. assign V604155 = V445449 + 1. assign V437394 = V601865 - 1. assign V627574 = V505707. assign V306291 = V144857 - 1. assign V755110 = V187190 - 1. assign V112096 = V402300. assign V380357 = V564465. assign V144857 = V402300. assign V054035 = V586828 - 1. assign V106691 = V402300 - 1. assign V291820 = V482840. assign V724019 = V592722. assign V069191 = V163106 - 1. assign V734527 = V117553 + 1. assign V109108 = V590553 - 1. assign V122761 = V584002. assign V484523 = V505707. assign V237921 = V380772 + 1. assign V308924 = V447347. assign V135602 = V590553 + 1. assign V760523 = V990498 + 1. assign V573268 = V289771 + 1. assign V983726 = V949778 - 1. assign V462328 = V599740. assign V126065 = V702027 - 1. assign V634770 = 9. assign V875410 = V627574 - 1. assign V599740 = V308924 - 1. assign V928507 = V376172.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV634770 = 9;\n\nFrom these direct assignment(s), we have: \nV397398 = V634770 + 1 = 9 + 1 =10;\nNo other variables can be derived from V397398;\nNo other variables can be derived from V634770;\n\nNow we have done all the calculations. Derived variables are:\nV634770 = 9;\nV397398 = 10;\n\nNow we have finished this problem. ANSWER:\nV634770\n", "role": "assistant" } ]

[ "V709722" ]

[ { "content": "<context>\nassign V166239 = V632696 + 1. assign V986970 = V879208 + 1. assign V074177 = V695391 + 1. assign V368675 = V277657. assign V055502 = V931357 - 1. assign V257279 = V610918 - 1. assign V610918 = V942200. assign V900273 = V590341. assign V942200 = V910343. assign V973744 = V181682 - 1. assign V945404 = V245706. assign V081854 = V166271. assign V803825 = V339432 + 1. assign V630247 = V114181 - 1. assign V376958 = V874347 + 1. assign V519797 = V217616 + 1. assign V936234 = V583235. assign V203650 = V360653 - 1. assign V987903 = V245706 - 1. assign V114181 = V590341 - 1. assign V048877 = V692293 + 1. assign V263101 = V477617 - 1. assign V931357 = V590341 + 1. assign V610001 = V166271. assign V672632 = V141438. assign V206640 = V019191 - 1. assign V131144 = V936234. assign V660530 = V547632. assign V632696 = V973744 + 1. assign V409597 = V568868. assign V444591 = V455692. assign V879208 = V874347 - 1. assign V057803 = V246438 - 1. assign V181682 = V547699 - 1. assign V967854 = V610918 + 1. assign V750293 = V019191 + 1. assign V026121 = V505558. assign V019191 = V942200 + 1. assign V338785 = V973744 - 1. assign V386727 = V920618 - 1. assign V455692 = V837986. assign V980466 = V632696. assign V612310 = V967854 + 1. assign V360653 = V505558 - 1. assign V195632 = V409597. assign V079074 = V195632 - 1. assign V071457 = V547632 - 1. assign V513134 = V354762. assign V332097 = V042755 + 1. assign V002832 = V885127 - 1. assign V692293 = V382930 - 1. assign V962392 = V564052. assign V439495 = V391597 - 1. assign V037467 = V986970. assign V886479 = V639292 + 1. assign V583235 = V886479. assign V538394 = V930113 + 1. assign V737269 = V360653. assign V481611 = V879208. assign V967846 = V672632. assign V042755 = V563314 - 1. assign V706061 = V547632 - 1. assign V722566 = V942200. assign V944583 = V874347. assign V002961 = V035407 - 1. assign V246438 = V277657 + 1. assign V543852 = V195632 - 1. assign V751694 = V391597 + 1. assign V722337 = V405900 + 1. assign V547699 = V376958 - 1. assign V393197 = V885127. assign V150364 = V339432. assign V930113 = V181682 + 1. assign V227866 = V986970 - 1. assign V106415 = V547632. assign V181037 = V206640 - 1. assign V846149 = V931357 + 1. assign V486009 = V382930 + 1. assign V393421 = V590341 - 1. assign V477934 = V509924 + 1. assign V842569 = V505558 + 1. assign V165738 = V376958 + 1. assign V477617 = V910343. assign V183115 = V360653 - 1. assign V881844 = V936234 + 1. assign V944863 = V942200. assign V525961 = V973744 + 1. assign V474969 = V547699. assign V671373 = V583235 - 1. assign V910343 = V639292. assign V128823 = V505558 - 1. assign V985748 = V019191 + 1. assign V969438 = V376958 + 1. assign V568868 = V610918 - 1. assign V083432 = V800343 - 1. assign V162208 = V011064 - 1. assign V687713 = V474969 + 1. assign V564052 = V217616 - 1. assign V474082 = V930113 + 1. assign V245706 = V910343. assign V405900 = V547699 + 1. assign V080398 = V505558. assign V779796 = V832489 + 1. assign V343639 = V967846. assign V582662 = V961613. assign V889317 = V246865 - 1. assign V563314 = V881844 + 1. assign V052606 = V195632 + 1. assign V011064 = V920618. assign V194889 = V885127 + 1. assign V008820 = V037467 - 1. assign V346491 = V339432 + 1. assign V640217 = V593647 + 1. assign V337928 = V590341 - 1. assign V195583 = V376958 + 1. assign V588701 = V886479 + 1. assign V505558 = V886479. assign V941930 = V393197 - 1. assign V858506 = V563314 + 1. assign V596487 = V920618 + 1. assign V557378 = V277657 + 1. assign V709722 = 4. assign V192526 = V416442 + 1. assign V656056 = V858506 + 1. assign V513123 = V832489 + 1. assign V416442 = V672632 - 1. assign V021330 = V639292 - 1. assign V885127 = V936234 + 1. assign V748519 = V944583 - 1. assign V166271 = V639292. assign V245989 = V019191 + 1. assign V141438 = V910343 + 1. assign V332879 = V055502. assign V872235 = V672632 - 1. assign V453576 = V931357 + 1. assign V832489 = V590341 + 1. assign V068413 = V409597. assign V920618 = V606171 + 1. assign V081771 = V709722 + 1. assign V752110 = V116175 - 1. assign V695391 = V405900. assign V381692 = V525961. assign V382930 = V141438. assign V217616 = V973744 - 1. assign V994406 = V872235. assign V874347 = V639292. assign V661467 = V339432 + 1. assign V837986 = V116175. assign V902253 = V393197 - 1. assign V532481 = V593647 - 1. assign V262947 = V967846. assign V759881 = V474969 + 1. assign V590341 = V639292 - 1. assign V116175 = V141438 - 1. assign V246865 = V872235 + 1. assign V391597 = V962392 + 1. assign V509924 = V837986 + 1. assign V354762 = V900273. assign V606171 = V973744. assign V961613 = V936234. assign V547632 = V967846 - 1. assign V800343 = V128823. assign V277657 = V900273. assign V558453 = V687713. assign V339432 = V837986 + 1. assign V464044 = V405900 + 1. assign V355034 = V393197. assign V035407 = V593647. assign V593647 = V474969 - 1. assign V074626 = V967854 - 1. assign V452343 = V525961 - 1. assign V115445 = V900273 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V166239 = V632696 + 1. assign V986970 = V879208 + 1. assign V074177 = V695391 + 1. assign V368675 = V277657. assign V055502 = V931357 - 1. assign V257279 = V610918 - 1. assign V610918 = V942200. assign V900273 = V590341. assign V942200 = V910343. assign V973744 = V181682 - 1. assign V945404 = V245706. assign V081854 = V166271. assign V803825 = V339432 + 1. assign V630247 = V114181 - 1. assign V376958 = V874347 + 1. assign V519797 = V217616 + 1. assign V936234 = V583235. assign V203650 = V360653 - 1. assign V987903 = V245706 - 1. assign V114181 = V590341 - 1. assign V048877 = V692293 + 1. assign V263101 = V477617 - 1. assign V931357 = V590341 + 1. assign V610001 = V166271. assign V672632 = V141438. assign V206640 = V019191 - 1. assign V131144 = V936234. assign V660530 = V547632. assign V632696 = V973744 + 1. assign V409597 = V568868. assign V444591 = V455692. assign V879208 = V874347 - 1. assign V057803 = V246438 - 1. assign V181682 = V547699 - 1. assign V967854 = V610918 + 1. assign V750293 = V019191 + 1. assign V026121 = V505558. assign V019191 = V942200 + 1. assign V338785 = V973744 - 1. assign V386727 = V920618 - 1. assign V455692 = V837986. assign V980466 = V632696. assign V612310 = V967854 + 1. assign V360653 = V505558 - 1. assign V195632 = V409597. assign V079074 = V195632 - 1. assign V071457 = V547632 - 1. assign V513134 = V354762. assign V332097 = V042755 + 1. assign V002832 = V885127 - 1. assign V692293 = V382930 - 1. assign V962392 = V564052. assign V439495 = V391597 - 1. assign V037467 = V986970. assign V886479 = V639292 + 1. assign V583235 = V886479. assign V538394 = V930113 + 1. assign V737269 = V360653. assign V481611 = V879208. assign V967846 = V672632. assign V042755 = V563314 - 1. assign V706061 = V547632 - 1. assign V722566 = V942200. assign V944583 = V874347. assign V002961 = V035407 - 1. assign V246438 = V277657 + 1. assign V543852 = V195632 - 1. assign V751694 = V391597 + 1. assign V722337 = V405900 + 1. assign V547699 = V376958 - 1. assign V393197 = V885127. assign V150364 = V339432. assign V930113 = V181682 + 1. assign V227866 = V986970 - 1. assign V106415 = V547632. assign V181037 = V206640 - 1. assign V846149 = V931357 + 1. assign V486009 = V382930 + 1. assign V393421 = V590341 - 1. assign V477934 = V509924 + 1. assign V842569 = V505558 + 1. assign V165738 = V376958 + 1. assign V477617 = V910343. assign V183115 = V360653 - 1. assign V881844 = V936234 + 1. assign V944863 = V942200. assign V525961 = V973744 + 1. assign V474969 = V547699. assign V671373 = V583235 - 1. assign V910343 = V639292. assign V128823 = V505558 - 1. assign V985748 = V019191 + 1. assign V969438 = V376958 + 1. assign V568868 = V610918 - 1. assign V083432 = V800343 - 1. assign V162208 = V011064 - 1. assign V687713 = V474969 + 1. assign V564052 = V217616 - 1. assign V474082 = V930113 + 1. assign V245706 = V910343. assign V405900 = V547699 + 1. assign V080398 = V505558. assign V779796 = V832489 + 1. assign V343639 = V967846. assign V582662 = V961613. assign V889317 = V246865 - 1. assign V563314 = V881844 + 1. assign V052606 = V195632 + 1. assign V011064 = V920618. assign V194889 = V885127 + 1. assign V008820 = V037467 - 1. assign V346491 = V339432 + 1. assign V640217 = V593647 + 1. assign V337928 = V590341 - 1. assign V195583 = V376958 + 1. assign V588701 = V886479 + 1. assign V505558 = V886479. assign V941930 = V393197 - 1. assign V858506 = V563314 + 1. assign V596487 = V920618 + 1. assign V557378 = V277657 + 1. assign V709722 = 4. assign V192526 = V416442 + 1. assign V656056 = V858506 + 1. assign V513123 = V832489 + 1. assign V416442 = V672632 - 1. assign V021330 = V639292 - 1. assign V885127 = V936234 + 1. assign V748519 = V944583 - 1. assign V166271 = V639292. assign V245989 = V019191 + 1. assign V141438 = V910343 + 1. assign V332879 = V055502. assign V872235 = V672632 - 1. assign V453576 = V931357 + 1. assign V832489 = V590341 + 1. assign V068413 = V409597. assign V920618 = V606171 + 1. assign V081771 = V709722 + 1. assign V752110 = V116175 - 1. assign V695391 = V405900. assign V381692 = V525961. assign V382930 = V141438. assign V217616 = V973744 - 1. assign V994406 = V872235. assign V874347 = V639292. assign V661467 = V339432 + 1. assign V837986 = V116175. assign V902253 = V393197 - 1. assign V532481 = V593647 - 1. assign V262947 = V967846. assign V759881 = V474969 + 1. assign V590341 = V639292 - 1. assign V116175 = V141438 - 1. assign V246865 = V872235 + 1. assign V391597 = V962392 + 1. assign V509924 = V837986 + 1. assign V354762 = V900273. assign V606171 = V973744. assign V961613 = V936234. assign V547632 = V967846 - 1. assign V800343 = V128823. assign V277657 = V900273. assign V558453 = V687713. assign V339432 = V837986 + 1. assign V464044 = V405900 + 1. assign V355034 = V393197. assign V035407 = V593647. assign V593647 = V474969 - 1. assign V074626 = V967854 - 1. assign V452343 = V525961 - 1. assign V115445 = V900273 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV709722 = 4;\n\nFrom these direct assignment(s), we have: \nV081771 = V709722 + 1 = 4 + 1 =5;\nNo other variables can be derived from V081771;\nNo other variables can be derived from V709722;\n\nNow we have done all the calculations. Derived variables are:\nV709722 = 4;\nV081771 = 5;\n\nNow we have finished this problem. ANSWER:\nV709722\n", "role": "assistant" } ]

[ "V519503" ]

[ { "content": "<context>\nassign V524889 = V216797 - 1. assign V681697 = V043190. assign V053447 = V639082 - 1. assign V428600 = V478587. assign V603988 = V912523. assign V878175 = V768439. assign V930286 = V119501 - 1. assign V600857 = V603988. assign V951606 = V912523 + 1. assign V553354 = V433318 - 1. assign V968750 = V603988 - 1. assign V962647 = V183260. assign V582113 = V803468 - 1. assign V519503 = 2. assign V912523 = V752666. assign V351003 = V308789 + 1. assign V796353 = V523847 + 1. assign V874076 = V700649 + 1. assign V403795 = V979932 - 1. assign V068144 = V899262. assign V871980 = V191301. assign V226420 = V069244 + 1. assign V828484 = V667604 + 1. assign V288013 = V775866 + 1. assign V922244 = V662066 - 1. assign V128271 = V013651. assign V899202 = V812614 - 1. assign V733536 = V662066. assign V500045 = V287551 + 1. assign V385488 = V448492 - 1. assign V032844 = V191301 - 1. assign V725098 = V922244 - 1. assign V899262 = V351003. assign V154267 = V828484 - 1. assign V095526 = V523847 - 1. assign V604318 = V569306. assign V975180 = V899262. assign V662066 = V742666 - 1. assign V536409 = V396917 - 1. assign V575579 = V725098. assign V987537 = V742666 - 1. assign V945055 = V214096 + 1. assign V700649 = V962647 + 1. assign V775866 = V938358 + 1. assign V210939 = V899262. assign V119501 = V183260. assign V229520 = V351003 + 1. assign V160901 = V945055 - 1. assign V043190 = V150399. assign V657813 = V069244 + 1. assign V084140 = V938358 - 1. assign V379988 = V108915. assign V442280 = V987537 + 1. assign V697421 = V183260 - 1. assign V849982 = V912523 + 1. assign V903664 = V639082 - 1. assign V600602 = V288013. assign V680295 = V166590. assign V722277 = V150462 + 1. assign V742666 = V899262 - 1. assign V364241 = V186153 + 1. assign V614305 = V697421 - 1. assign V528577 = V299313 + 1. assign V632588 = V975180 - 1. assign V475584 = V938358. assign V234797 = V519503 - 1. assign V710699 = V697421. assign V473822 = V395722 + 1. assign V966809 = V742666 + 1. assign V812614 = V523847. assign V783702 = V524889 - 1. assign V415529 = V478587 + 1. assign V569306 = V667604 + 1. assign V917120 = V643638. assign V833861 = V803468. assign V069244 = V351003 - 1. assign V208142 = V288013 - 1. assign V661776 = V523847. assign V183260 = V264620 + 1. assign V433747 = V448492. assign V979932 = V500045 + 1. assign V424582 = V808867. assign V685240 = V968750 - 1. assign V803468 = V191301. assign V003920 = V396917. assign V631828 = V069244. assign V478587 = V403795. assign V208979 = V575579. assign V001967 = V335824 - 1. assign V808867 = V639082 - 1. assign V390015 = V650998 + 1. assign V754933 = V214096 + 1. assign V219156 = V395722 + 1. assign V150399 = V069244. assign V876797 = V812614 - 1. assign V983977 = V876797. assign V675785 = V808867 - 1. assign V902323 = V991544 + 1. assign V580787 = V899262. assign V776361 = V899262. assign V758256 = V523847 + 1. assign V032129 = V849982 + 1. assign V317812 = V108915. assign V308789 = V264620. assign V752666 = V614305. assign V504575 = V794895. assign V186153 = V287551. assign V590756 = V750096 + 1. assign V204254 = V013651 + 1. assign V868320 = V794895 - 1. assign V991544 = V899202. assign V602309 = V216797 - 1. assign V072076 = V675785 - 1. assign V335824 = V930286 + 1. assign V938102 = V500045. assign V484331 = V685240 + 1. assign V216797 = V938358. assign V166590 = V899202 - 1. assign V067852 = V226420. assign V812642 = V979932. assign V561118 = V868320 + 1. assign V191301 = V351003 - 1. assign V293898 = V072076. assign V013651 = V662066 - 1. assign V667604 = V264620. assign V782058 = V403795 - 1. assign V768439 = V973284. assign V650998 = V871980. assign V794895 = V055001 - 1. assign V395722 = V264620 - 1. assign V075425 = V899202 - 1. assign V938358 = V657813. assign V150462 = V794895 - 1. assign V641522 = V600602 - 1. assign V403287 = V874076. assign V604477 = V733536 - 1. assign V719243 = V523847 - 1. assign V804266 = V166590 - 1. assign V108915 = V742666. assign V081006 = V069244 - 1. assign V214096 = V003920 + 1. assign V674210 = V351003 - 1. assign V800680 = V719243 + 1. assign V299313 = V733536 - 1. assign V055001 = V183260 + 1. assign V448492 = V442280 + 1. assign V396917 = V639082. assign V436865 = V812642 - 1. assign V498348 = V214096. assign V133850 = V308789 + 1. assign V143051 = V208142. assign V473048 = V742666. assign V973284 = V849982. assign V792539 = V299313. assign V643638 = V752666. assign V894504 = V975180 + 1. assign V447638 = V758256. assign V026534 = V043190 - 1. assign V639082 = V614305 - 1. assign V887185 = V752666. assign V586457 = V675785. assign V766963 = V119501 + 1. assign V675722 = V442280. assign V542112 = V433318 - 1. assign V750096 = V902323. assign V287551 = V308789 + 1. assign V676474 = V975180 + 1. assign V620921 = V264620. assign V433318 = V264620 - 1. assign V410079 = V902323 + 1. assign V092851 = V150462 - 1. assign V523847 = V308789 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V524889 = V216797 - 1. assign V681697 = V043190. assign V053447 = V639082 - 1. assign V428600 = V478587. assign V603988 = V912523. assign V878175 = V768439. assign V930286 = V119501 - 1. assign V600857 = V603988. assign V951606 = V912523 + 1. assign V553354 = V433318 - 1. assign V968750 = V603988 - 1. assign V962647 = V183260. assign V582113 = V803468 - 1. assign V519503 = 2. assign V912523 = V752666. assign V351003 = V308789 + 1. assign V796353 = V523847 + 1. assign V874076 = V700649 + 1. assign V403795 = V979932 - 1. assign V068144 = V899262. assign V871980 = V191301. assign V226420 = V069244 + 1. assign V828484 = V667604 + 1. assign V288013 = V775866 + 1. assign V922244 = V662066 - 1. assign V128271 = V013651. assign V899202 = V812614 - 1. assign V733536 = V662066. assign V500045 = V287551 + 1. assign V385488 = V448492 - 1. assign V032844 = V191301 - 1. assign V725098 = V922244 - 1. assign V899262 = V351003. assign V154267 = V828484 - 1. assign V095526 = V523847 - 1. assign V604318 = V569306. assign V975180 = V899262. assign V662066 = V742666 - 1. assign V536409 = V396917 - 1. assign V575579 = V725098. assign V987537 = V742666 - 1. assign V945055 = V214096 + 1. assign V700649 = V962647 + 1. assign V775866 = V938358 + 1. assign V210939 = V899262. assign V119501 = V183260. assign V229520 = V351003 + 1. assign V160901 = V945055 - 1. assign V043190 = V150399. assign V657813 = V069244 + 1. assign V084140 = V938358 - 1. assign V379988 = V108915. assign V442280 = V987537 + 1. assign V697421 = V183260 - 1. assign V849982 = V912523 + 1. assign V903664 = V639082 - 1. assign V600602 = V288013. assign V680295 = V166590. assign V722277 = V150462 + 1. assign V742666 = V899262 - 1. assign V364241 = V186153 + 1. assign V614305 = V697421 - 1. assign V528577 = V299313 + 1. assign V632588 = V975180 - 1. assign V475584 = V938358. assign V234797 = V519503 - 1. assign V710699 = V697421. assign V473822 = V395722 + 1. assign V966809 = V742666 + 1. assign V812614 = V523847. assign V783702 = V524889 - 1. assign V415529 = V478587 + 1. assign V569306 = V667604 + 1. assign V917120 = V643638. assign V833861 = V803468. assign V069244 = V351003 - 1. assign V208142 = V288013 - 1. assign V661776 = V523847. assign V183260 = V264620 + 1. assign V433747 = V448492. assign V979932 = V500045 + 1. assign V424582 = V808867. assign V685240 = V968750 - 1. assign V803468 = V191301. assign V003920 = V396917. assign V631828 = V069244. assign V478587 = V403795. assign V208979 = V575579. assign V001967 = V335824 - 1. assign V808867 = V639082 - 1. assign V390015 = V650998 + 1. assign V754933 = V214096 + 1. assign V219156 = V395722 + 1. assign V150399 = V069244. assign V876797 = V812614 - 1. assign V983977 = V876797. assign V675785 = V808867 - 1. assign V902323 = V991544 + 1. assign V580787 = V899262. assign V776361 = V899262. assign V758256 = V523847 + 1. assign V032129 = V849982 + 1. assign V317812 = V108915. assign V308789 = V264620. assign V752666 = V614305. assign V504575 = V794895. assign V186153 = V287551. assign V590756 = V750096 + 1. assign V204254 = V013651 + 1. assign V868320 = V794895 - 1. assign V991544 = V899202. assign V602309 = V216797 - 1. assign V072076 = V675785 - 1. assign V335824 = V930286 + 1. assign V938102 = V500045. assign V484331 = V685240 + 1. assign V216797 = V938358. assign V166590 = V899202 - 1. assign V067852 = V226420. assign V812642 = V979932. assign V561118 = V868320 + 1. assign V191301 = V351003 - 1. assign V293898 = V072076. assign V013651 = V662066 - 1. assign V667604 = V264620. assign V782058 = V403795 - 1. assign V768439 = V973284. assign V650998 = V871980. assign V794895 = V055001 - 1. assign V395722 = V264620 - 1. assign V075425 = V899202 - 1. assign V938358 = V657813. assign V150462 = V794895 - 1. assign V641522 = V600602 - 1. assign V403287 = V874076. assign V604477 = V733536 - 1. assign V719243 = V523847 - 1. assign V804266 = V166590 - 1. assign V108915 = V742666. assign V081006 = V069244 - 1. assign V214096 = V003920 + 1. assign V674210 = V351003 - 1. assign V800680 = V719243 + 1. assign V299313 = V733536 - 1. assign V055001 = V183260 + 1. assign V448492 = V442280 + 1. assign V396917 = V639082. assign V436865 = V812642 - 1. assign V498348 = V214096. assign V133850 = V308789 + 1. assign V143051 = V208142. assign V473048 = V742666. assign V973284 = V849982. assign V792539 = V299313. assign V643638 = V752666. assign V894504 = V975180 + 1. assign V447638 = V758256. assign V026534 = V043190 - 1. assign V639082 = V614305 - 1. assign V887185 = V752666. assign V586457 = V675785. assign V766963 = V119501 + 1. assign V675722 = V442280. assign V542112 = V433318 - 1. assign V750096 = V902323. assign V287551 = V308789 + 1. assign V676474 = V975180 + 1. assign V620921 = V264620. assign V433318 = V264620 - 1. assign V410079 = V902323 + 1. assign V092851 = V150462 - 1. assign V523847 = V308789 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV519503 = 2;\n\nFrom these direct assignment(s), we have: \nV234797 = V519503 - 1 = 2 - 1 =1;\nNo other variables can be derived from V234797;\nNo other variables can be derived from V519503;\n\nNow we have done all the calculations. Derived variables are:\nV519503 = 2;\nV234797 = 1;\n\nNow we have finished this problem. ANSWER:\nV519503\n", "role": "assistant" } ]

[ "V463252", "V761100" ]

[ { "content": "<context>\nassign V192395 = V327205. assign V572306 = V409243. assign V188568 = V750624 - 1. assign V158552 = V394015. assign V831838 = V440953. assign V862361 = V022605 + 1. assign V410886 = V475371. assign V476214 = V583616 - 1. assign V376574 = V011020 + 1. assign V285317 = V947836 + 1. assign V465022 = V651421 - 1. assign V597232 = V158552 + 1. assign V053479 = V249089. assign V632346 = V517500. assign V947836 = V375632. assign V640504 = V572306 + 1. assign V568516 = V846399. assign V157837 = V970200 - 1. assign V472174 = V907073 + 1. assign V018330 = V324437 + 1. assign V056803 = V018330 + 1. assign V750624 = V248869 - 1. assign V388059 = V011492 + 1. assign V133637 = V230349. assign V811431 = V470262 - 1. assign V470262 = V230349. assign V550443 = V022605. assign V965939 = V583616 - 1. assign V712414 = V868135 + 1. assign V857232 = V327205 + 1. assign V925716 = V882123 + 1. assign V635169 = V192395. assign V989626 = V943709 + 1. assign V648790 = V517052 - 1. assign V676022 = V011492 + 1. assign V893125 = V388262 + 1. assign V520970 = V658166 + 1. assign V813620 = V687753. assign V394015 = V327205 + 1. assign V219716 = V868135 - 1. assign V388262 = V943709 + 1. assign V911752 = V675303 + 1. assign V761100 = V463252. assign V160887 = V828219. assign V764365 = V640504. assign V818872 = V868135 + 1. assign V397659 = V986632 - 1. assign V959349 = V204442 - 1. assign V565091 = V020445. assign V846399 = V325734 + 1. assign V594102 = V970200 - 1. assign V944312 = V857232 - 1. assign V141361 = V893125 + 1. assign V574491 = V861648 + 1. assign V675303 = V695051 - 1. assign V012989 = V845477. assign V986632 = V192395 + 1. assign V241368 = V986632 - 1. assign V020445 = V388059 - 1. assign V022605 = V520501 + 1. assign V896784 = V520970 - 1. assign V309001 = V285317 + 1. assign V727185 = V192395. assign V230349 = V393800 - 1. assign V413866 = V517052 - 1. assign V928671 = V896784 + 1. assign V052859 = V309001 + 1. assign V735105 = V517052. assign V913216 = V249089 + 1. assign V721703 = V913216 - 1. assign V322470 = V574491. assign V658166 = V324437. assign V828219 = V387299 + 1. assign V589821 = V394015 - 1. assign V651421 = V842065 + 1. assign V128599 = V376574 - 1. assign V338573 = V475371. assign V396811 = V393800. assign V375282 = V110399 + 1. assign V197831 = V520501 + 1. assign V122802 = V899911 - 1. assign V285907 = V970200 - 1. assign V463252 = 8. assign V758436 = V011492 + 1. assign V943709 = V255441. assign V842065 = V327205 - 1. assign V374925 = V842065. assign V599926 = V230349 + 1. assign V506706 = V325734. assign V475371 = V076746. assign V409243 = V249089 - 1. assign V613775 = V204442 - 1. assign V148430 = V076746. assign V899911 = V397659 + 1. assign V049128 = V158552 - 1. assign V872651 = V597232 - 1. assign V737121 = V651421 - 1. assign V059269 = V861648. assign V867703 = V828219 - 1. assign V517500 = V842065 + 1. assign V350861 = V868135. assign V944210 = V648790. assign V517052 = V651421 - 1. assign V552576 = V393800 - 1. assign V378395 = V648790 + 1. assign V255441 = V325734. assign V325734 = V394015 - 1. assign V414054 = V255441 + 1. assign V970200 = V192395 - 1. assign V249089 = V842065. assign V248869 = V157837 - 1. assign V775824 = V327205. assign V793105 = V502537. assign V583616 = V727185 + 1. assign V341486 = V018330 - 1. assign V913679 = V158552 - 1. assign V110399 = V248869 + 1. assign V859872 = V322470. assign V687753 = V463786 - 1. assign V301253 = V397659 - 1. assign V183324 = V402167 - 1. assign V932087 = V811431. assign V375632 = V846399. assign V232733 = V481780 - 1. assign V953335 = V350861 + 1. assign V162240 = V595522. assign V960151 = V056803 - 1. assign V861648 = V230349 - 1. assign V112290 = V394015 + 1. assign V402167 = V327205 - 1. assign V117630 = V376574. assign V502537 = V520501 - 1. assign V393800 = V076746 + 1. assign V044072 = V465022 - 1. assign V520501 = V049128 + 1. assign V011492 = V158552 - 1. assign V077090 = V044072. assign V204442 = V378395 - 1. assign V480651 = V230349. assign V754434 = V230349. assign V343638 = V301253. assign V387299 = V913679 - 1. assign V312448 = V896784. assign V882123 = V589821 - 1. assign V440953 = V338573 - 1. assign V011020 = V651421 + 1. assign V361129 = V583616. assign V937441 = V989626 + 1. assign V324437 = V594102 - 1. assign V332299 = V568516 + 1. assign V695051 = V727185. assign V907073 = V506706. assign V978112 = V397659 + 1. assign V063055 = V397659. assign V475129 = V937441 + 1. assign V657659 = V388059. assign V162900 = V020445 + 1. assign V407057 = V375282. assign V690184 = V301253 + 1. assign V185743 = V475371 + 1. assign V076746 = V327205 + 1. assign V554841 = V737121 - 1. assign V595522 = V465022 - 1. assign V943251 = V249089 + 1. assign V426562 = V862361 - 1. assign V845477 = V943709. assign V868135 = V053479. assign V463786 = V410886 - 1. assign V212873 = V520501 + 1. assign V481780 = V394015 + 1. assign V607595 = V162240. assign V557159 = V409243 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V192395 = V327205. assign V572306 = V409243. assign V188568 = V750624 - 1. assign V158552 = V394015. assign V831838 = V440953. assign V862361 = V022605 + 1. assign V410886 = V475371. assign V476214 = V583616 - 1. assign V376574 = V011020 + 1. assign V285317 = V947836 + 1. assign V465022 = V651421 - 1. assign V597232 = V158552 + 1. assign V053479 = V249089. assign V632346 = V517500. assign V947836 = V375632. assign V640504 = V572306 + 1. assign V568516 = V846399. assign V157837 = V970200 - 1. assign V472174 = V907073 + 1. assign V018330 = V324437 + 1. assign V056803 = V018330 + 1. assign V750624 = V248869 - 1. assign V388059 = V011492 + 1. assign V133637 = V230349. assign V811431 = V470262 - 1. assign V470262 = V230349. assign V550443 = V022605. assign V965939 = V583616 - 1. assign V712414 = V868135 + 1. assign V857232 = V327205 + 1. assign V925716 = V882123 + 1. assign V635169 = V192395. assign V989626 = V943709 + 1. assign V648790 = V517052 - 1. assign V676022 = V011492 + 1. assign V893125 = V388262 + 1. assign V520970 = V658166 + 1. assign V813620 = V687753. assign V394015 = V327205 + 1. assign V219716 = V868135 - 1. assign V388262 = V943709 + 1. assign V911752 = V675303 + 1. assign V761100 = V463252. assign V160887 = V828219. assign V764365 = V640504. assign V818872 = V868135 + 1. assign V397659 = V986632 - 1. assign V959349 = V204442 - 1. assign V565091 = V020445. assign V846399 = V325734 + 1. assign V594102 = V970200 - 1. assign V944312 = V857232 - 1. assign V141361 = V893125 + 1. assign V574491 = V861648 + 1. assign V675303 = V695051 - 1. assign V012989 = V845477. assign V986632 = V192395 + 1. assign V241368 = V986632 - 1. assign V020445 = V388059 - 1. assign V022605 = V520501 + 1. assign V896784 = V520970 - 1. assign V309001 = V285317 + 1. assign V727185 = V192395. assign V230349 = V393800 - 1. assign V413866 = V517052 - 1. assign V928671 = V896784 + 1. assign V052859 = V309001 + 1. assign V735105 = V517052. assign V913216 = V249089 + 1. assign V721703 = V913216 - 1. assign V322470 = V574491. assign V658166 = V324437. assign V828219 = V387299 + 1. assign V589821 = V394015 - 1. assign V651421 = V842065 + 1. assign V128599 = V376574 - 1. assign V338573 = V475371. assign V396811 = V393800. assign V375282 = V110399 + 1. assign V197831 = V520501 + 1. assign V122802 = V899911 - 1. assign V285907 = V970200 - 1. assign V463252 = 8. assign V758436 = V011492 + 1. assign V943709 = V255441. assign V842065 = V327205 - 1. assign V374925 = V842065. assign V599926 = V230349 + 1. assign V506706 = V325734. assign V475371 = V076746. assign V409243 = V249089 - 1. assign V613775 = V204442 - 1. assign V148430 = V076746. assign V899911 = V397659 + 1. assign V049128 = V158552 - 1. assign V872651 = V597232 - 1. assign V737121 = V651421 - 1. assign V059269 = V861648. assign V867703 = V828219 - 1. assign V517500 = V842065 + 1. assign V350861 = V868135. assign V944210 = V648790. assign V517052 = V651421 - 1. assign V552576 = V393800 - 1. assign V378395 = V648790 + 1. assign V255441 = V325734. assign V325734 = V394015 - 1. assign V414054 = V255441 + 1. assign V970200 = V192395 - 1. assign V249089 = V842065. assign V248869 = V157837 - 1. assign V775824 = V327205. assign V793105 = V502537. assign V583616 = V727185 + 1. assign V341486 = V018330 - 1. assign V913679 = V158552 - 1. assign V110399 = V248869 + 1. assign V859872 = V322470. assign V687753 = V463786 - 1. assign V301253 = V397659 - 1. assign V183324 = V402167 - 1. assign V932087 = V811431. assign V375632 = V846399. assign V232733 = V481780 - 1. assign V953335 = V350861 + 1. assign V162240 = V595522. assign V960151 = V056803 - 1. assign V861648 = V230349 - 1. assign V112290 = V394015 + 1. assign V402167 = V327205 - 1. assign V117630 = V376574. assign V502537 = V520501 - 1. assign V393800 = V076746 + 1. assign V044072 = V465022 - 1. assign V520501 = V049128 + 1. assign V011492 = V158552 - 1. assign V077090 = V044072. assign V204442 = V378395 - 1. assign V480651 = V230349. assign V754434 = V230349. assign V343638 = V301253. assign V387299 = V913679 - 1. assign V312448 = V896784. assign V882123 = V589821 - 1. assign V440953 = V338573 - 1. assign V011020 = V651421 + 1. assign V361129 = V583616. assign V937441 = V989626 + 1. assign V324437 = V594102 - 1. assign V332299 = V568516 + 1. assign V695051 = V727185. assign V907073 = V506706. assign V978112 = V397659 + 1. assign V063055 = V397659. assign V475129 = V937441 + 1. assign V657659 = V388059. assign V162900 = V020445 + 1. assign V407057 = V375282. assign V690184 = V301253 + 1. assign V185743 = V475371 + 1. assign V076746 = V327205 + 1. assign V554841 = V737121 - 1. assign V595522 = V465022 - 1. assign V943251 = V249089 + 1. assign V426562 = V862361 - 1. assign V845477 = V943709. assign V868135 = V053479. assign V463786 = V410886 - 1. assign V212873 = V520501 + 1. assign V481780 = V394015 + 1. assign V607595 = V162240. assign V557159 = V409243 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV463252 = 8;\n\nFrom these direct assignment(s), we have: \nV761100 = V463252 = 8;\nNo other variables can be derived from V761100;\nNo other variables can be derived from V463252;\n\nNow we have done all the calculations. Derived variables are:\nV463252 = 8;\nV761100 = 8;\n\nNow we have finished this problem. ANSWER:\nV463252, V761100\n", "role": "assistant" } ]

[ "V702926", "V777913" ]

[ { "content": "<context>\nassign V073390 = V111956. assign V634163 = V797046 + 1. assign V099624 = V376943. assign V615080 = V931769. assign V101549 = V176586. assign V596803 = V070526 + 1. assign V020649 = V161262 - 1. assign V030780 = V176586 - 1. assign V176586 = V424136. assign V777913 = V702926. assign V960506 = V752039. assign V924025 = V010571 + 1. assign V205235 = V245561. assign V725854 = V737234 + 1. assign V285271 = V424136 - 1. assign V437843 = V797046. assign V502803 = V642041. assign V030932 = V176586 + 1. assign V972209 = V285271. assign V691345 = V829981 - 1. assign V054736 = V737234. assign V358239 = V706323. assign V805818 = V376943 + 1. assign V534566 = V450874 + 1. assign V875936 = V752039 + 1. assign V586775 = V691345. assign V348341 = V596803 + 1. assign V376943 = V501734. assign V412585 = V002712. assign V611328 = V647915. assign V805433 = V591730. assign V647915 = V550979. assign V564564 = V663484 + 1. assign V253482 = V541965 - 1. assign V333210 = V826560 + 1. assign V539147 = V424136 + 1. assign V438573 = V101549 - 1. assign V706323 = V421027. assign V409437 = V931769 - 1. assign V194813 = V671668 + 1. assign V349734 = V797046 - 1. assign V839157 = V736418. assign V630392 = V884157 - 1. assign V884157 = V931769. assign V541965 = V424136. assign V649488 = V058291 - 1. assign V551441 = V501734 + 1. assign V598296 = V691345 + 1. assign V417433 = V731498 + 1. assign V065104 = V829981 - 1. assign V140695 = V300447 - 1. assign V233526 = V972209. assign V949932 = V101549 + 1. assign V114641 = V615080 - 1. assign V111956 = V228648. assign V768611 = V416477 - 1. assign V737234 = V185474. assign V492393 = V539147 - 1. assign V102948 = V185474 - 1. assign V866586 = V111956. assign V797046 = V450874. assign V562768 = V300447 - 1. assign V251475 = V194813 + 1. assign V281827 = V396738 + 1. assign V752039 = V952458 + 1. assign V010571 = V931769 - 1. assign V642041 = V424136. assign V862042 = V541965 + 1. assign V431113 = V949932 - 1. assign V355322 = V797046 + 1. assign V084865 = V416477 - 1. assign V165524 = V421027 - 1. assign V059396 = V349734. assign V204158 = V185474. assign V213381 = V834600. assign V203633 = V054736. assign V702926 = 0. assign V336545 = V586775. assign V163288 = V736062 + 1. assign V270662 = V797046 - 1. assign V478758 = V054736 + 1. assign V331976 = V087530. assign V742925 = V478758. assign V268417 = V900390 - 1. assign V228648 = V214283 + 1. assign V681412 = V450874. assign V137799 = V119472 + 1. assign V501734 = V931769. assign V252955 = V035189. assign V615497 = V214283 - 1. assign V107599 = V376943 - 1. assign V929344 = V355322. assign V028838 = V492393 + 1. assign V825557 = V596888 + 1. assign V725370 = V185474 - 1. assign V211586 = V437843 + 1. assign V107291 = V140695. assign V292230 = V030932 - 1. assign V550979 = V390194. assign V369568 = V768611 - 1. assign V325705 = V991334 - 1. assign V938703 = V325231 + 1. assign V419777 = V119472 - 1. assign V671668 = V617855 - 1. assign V300447 = V176586 - 1. assign V087530 = V725370. assign V195009 = V046407 - 1. assign V591730 = V615497. assign V178278 = V512644 + 1. assign V035189 = V396738 - 1. assign V475672 = V352851 - 1. assign V320150 = V348341. assign V245561 = V214283. assign V701068 = V826560. assign V408231 = V475672 - 1. assign V416477 = V424136 + 1. assign V181824 = V972209 - 1. assign V396738 = V797046 - 1. assign V596888 = V550979 - 1. assign V663484 = V416477 + 1. assign V501032 = V596803 - 1. assign V421027 = V736062 + 1. assign V046407 = V390194. assign V352851 = V176586. assign V590154 = V369568 - 1. assign V829981 = V416477 - 1. assign V513570 = V938703. assign V664106 = V737234 - 1. assign V736418 = V437843 - 1. assign V024997 = V596803 + 1. assign V583843 = V099624 - 1. assign V338505 = V270662 + 1. assign V731498 = V634163 - 1. assign V424168 = V417433. assign V228850 = V725854. assign V185474 = V615497 + 1. assign V467013 = V825557 + 1. assign V512644 = V617855 + 1. assign V826560 = V501734 + 1. assign V931769 = V424136 - 1. assign V119472 = V300447 + 1. assign V199414 = V358239. assign V976277 = V752039. assign V952458 = V185474 - 1. assign V952816 = V550979. assign V617855 = V214283. assign V070526 = V591730 + 1. assign V450874 = V424136. assign V017614 = V416477 - 1. assign V736062 = V737234 - 1. assign V325231 = V615497 - 1. assign V302231 = V598296. assign V076012 = V030780 - 1. assign V044508 = V991334 - 1. assign V956242 = V492393. assign V745365 = V203633 - 1. assign V592414 = V352851. assign V161262 = V111956 + 1. assign V889837 = V349734. assign V852225 = V539147 - 1. assign V834600 = V437843. assign V188568 = V065104 + 1. assign V214283 = V424136. assign V900390 = V551441 - 1. assign V058291 = V931769. assign V889269 = V176586 + 1. assign V002712 = V188568 - 1. assign V938014 = V185474 + 1. assign V566855 = V437843 + 1. assign V991334 = V797046 + 1. assign V390194 = V931769 - 1. assign V556326 = V352851 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V073390 = V111956. assign V634163 = V797046 + 1. assign V099624 = V376943. assign V615080 = V931769. assign V101549 = V176586. assign V596803 = V070526 + 1. assign V020649 = V161262 - 1. assign V030780 = V176586 - 1. assign V176586 = V424136. assign V777913 = V702926. assign V960506 = V752039. assign V924025 = V010571 + 1. assign V205235 = V245561. assign V725854 = V737234 + 1. assign V285271 = V424136 - 1. assign V437843 = V797046. assign V502803 = V642041. assign V030932 = V176586 + 1. assign V972209 = V285271. assign V691345 = V829981 - 1. assign V054736 = V737234. assign V358239 = V706323. assign V805818 = V376943 + 1. assign V534566 = V450874 + 1. assign V875936 = V752039 + 1. assign V586775 = V691345. assign V348341 = V596803 + 1. assign V376943 = V501734. assign V412585 = V002712. assign V611328 = V647915. assign V805433 = V591730. assign V647915 = V550979. assign V564564 = V663484 + 1. assign V253482 = V541965 - 1. assign V333210 = V826560 + 1. assign V539147 = V424136 + 1. assign V438573 = V101549 - 1. assign V706323 = V421027. assign V409437 = V931769 - 1. assign V194813 = V671668 + 1. assign V349734 = V797046 - 1. assign V839157 = V736418. assign V630392 = V884157 - 1. assign V884157 = V931769. assign V541965 = V424136. assign V649488 = V058291 - 1. assign V551441 = V501734 + 1. assign V598296 = V691345 + 1. assign V417433 = V731498 + 1. assign V065104 = V829981 - 1. assign V140695 = V300447 - 1. assign V233526 = V972209. assign V949932 = V101549 + 1. assign V114641 = V615080 - 1. assign V111956 = V228648. assign V768611 = V416477 - 1. assign V737234 = V185474. assign V492393 = V539147 - 1. assign V102948 = V185474 - 1. assign V866586 = V111956. assign V797046 = V450874. assign V562768 = V300447 - 1. assign V251475 = V194813 + 1. assign V281827 = V396738 + 1. assign V752039 = V952458 + 1. assign V010571 = V931769 - 1. assign V642041 = V424136. assign V862042 = V541965 + 1. assign V431113 = V949932 - 1. assign V355322 = V797046 + 1. assign V084865 = V416477 - 1. assign V165524 = V421027 - 1. assign V059396 = V349734. assign V204158 = V185474. assign V213381 = V834600. assign V203633 = V054736. assign V702926 = 0. assign V336545 = V586775. assign V163288 = V736062 + 1. assign V270662 = V797046 - 1. assign V478758 = V054736 + 1. assign V331976 = V087530. assign V742925 = V478758. assign V268417 = V900390 - 1. assign V228648 = V214283 + 1. assign V681412 = V450874. assign V137799 = V119472 + 1. assign V501734 = V931769. assign V252955 = V035189. assign V615497 = V214283 - 1. assign V107599 = V376943 - 1. assign V929344 = V355322. assign V028838 = V492393 + 1. assign V825557 = V596888 + 1. assign V725370 = V185474 - 1. assign V211586 = V437843 + 1. assign V107291 = V140695. assign V292230 = V030932 - 1. assign V550979 = V390194. assign V369568 = V768611 - 1. assign V325705 = V991334 - 1. assign V938703 = V325231 + 1. assign V419777 = V119472 - 1. assign V671668 = V617855 - 1. assign V300447 = V176586 - 1. assign V087530 = V725370. assign V195009 = V046407 - 1. assign V591730 = V615497. assign V178278 = V512644 + 1. assign V035189 = V396738 - 1. assign V475672 = V352851 - 1. assign V320150 = V348341. assign V245561 = V214283. assign V701068 = V826560. assign V408231 = V475672 - 1. assign V416477 = V424136 + 1. assign V181824 = V972209 - 1. assign V396738 = V797046 - 1. assign V596888 = V550979 - 1. assign V663484 = V416477 + 1. assign V501032 = V596803 - 1. assign V421027 = V736062 + 1. assign V046407 = V390194. assign V352851 = V176586. assign V590154 = V369568 - 1. assign V829981 = V416477 - 1. assign V513570 = V938703. assign V664106 = V737234 - 1. assign V736418 = V437843 - 1. assign V024997 = V596803 + 1. assign V583843 = V099624 - 1. assign V338505 = V270662 + 1. assign V731498 = V634163 - 1. assign V424168 = V417433. assign V228850 = V725854. assign V185474 = V615497 + 1. assign V467013 = V825557 + 1. assign V512644 = V617855 + 1. assign V826560 = V501734 + 1. assign V931769 = V424136 - 1. assign V119472 = V300447 + 1. assign V199414 = V358239. assign V976277 = V752039. assign V952458 = V185474 - 1. assign V952816 = V550979. assign V617855 = V214283. assign V070526 = V591730 + 1. assign V450874 = V424136. assign V017614 = V416477 - 1. assign V736062 = V737234 - 1. assign V325231 = V615497 - 1. assign V302231 = V598296. assign V076012 = V030780 - 1. assign V044508 = V991334 - 1. assign V956242 = V492393. assign V745365 = V203633 - 1. assign V592414 = V352851. assign V161262 = V111956 + 1. assign V889837 = V349734. assign V852225 = V539147 - 1. assign V834600 = V437843. assign V188568 = V065104 + 1. assign V214283 = V424136. assign V900390 = V551441 - 1. assign V058291 = V931769. assign V889269 = V176586 + 1. assign V002712 = V188568 - 1. assign V938014 = V185474 + 1. assign V566855 = V437843 + 1. assign V991334 = V797046 + 1. assign V390194 = V931769 - 1. assign V556326 = V352851 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV702926 = 0;\n\nFrom these direct assignment(s), we have: \nV777913 = V702926 = 0;\nNo other variables can be derived from V777913;\nNo other variables can be derived from V702926;\n\nNow we have done all the calculations. Derived variables are:\nV702926 = 0;\nV777913 = 0;\n\nNow we have finished this problem. ANSWER:\nV702926, V777913\n", "role": "assistant" } ]

[ "V469676" ]

[ { "content": "<context>\nassign V778862 = V669654 + 1. assign V384572 = V763712 + 1. assign V622309 = V059763 - 1. assign V335641 = V998426 + 1. assign V312245 = V059763 + 1. assign V608024 = V791652. assign V311119 = V261042 + 1. assign V018540 = V622309 + 1. assign V059763 = V927565. assign V106567 = V566675 + 1. assign V669654 = V781008 - 1. assign V191466 = V129457 - 1. assign V592722 = V178695. assign V847378 = V819690 - 1. assign V876435 = V638653 - 1. assign V476385 = V552276 - 1. assign V365881 = V491022 + 1. assign V218007 = V434351. assign V051121 = V627542 - 1. assign V287905 = V204239 - 1. assign V716682 = V971119. assign V293119 = V552276 - 1. assign V321492 = V218259. assign V776118 = V773895 - 1. assign V648642 = V819690 + 1. assign V407264 = V476385 + 1. assign V546332 = V456875. assign V430578 = V552276 - 1. assign V491022 = V972686 - 1. assign V514266 = V384572 + 1. assign V355470 = V715993 - 1. assign V232431 = V746311 + 1. assign V791652 = V330224 - 1. assign V841383 = V819690. assign V069305 = V892551 + 1. assign V022880 = V863155 - 1. assign V303799 = V971119. assign V293595 = V566675 - 1. assign V139903 = V158061. assign V441940 = V746311. assign V909747 = V441940. assign V499120 = V312245. assign V906767 = 10. assign V363847 = V269933 - 1. assign V565790 = V983086 - 1. assign V881952 = V018540 + 1. assign V302094 = V398158 - 1. assign V776421 = V716682 + 1. assign V576651 = V662243 + 1. assign V648918 = V335919 + 1. assign V715993 = V986027. assign V218259 = V166046. assign V191410 = V031095 + 1. assign V783964 = V972686 + 1. assign V921424 = V312245 + 1. assign V833771 = V293119. assign V916124 = V763712 + 1. assign V986027 = V161132 - 1. assign V697655 = V927565. assign V059524 = V276821 + 1. assign V854455 = V494144. assign V179137 = V662243. assign V456875 = V330224. assign V491408 = V791652 - 1. assign V204239 = V476385. assign V316213 = V051121 + 1. assign V754311 = V916902 + 1. assign V169915 = V476385 + 1. assign V627542 = V494144. assign V773895 = V986511. assign V986511 = V622309 + 1. assign V018557 = V161325. assign V546745 = V312245 + 1. assign V330224 = V552276. assign V873820 = V863155 + 1. assign V178695 = V179137 - 1. assign V638653 = V330224. assign V643452 = V776118. assign V494144 = V303799 + 1. assign V932718 = V746311 + 1. assign V564391 = V861401 - 1. assign V424045 = V971119. assign V566675 = V783964. assign V230014 = V441940 - 1. assign V104964 = V599162 - 1. assign V672503 = V441940. assign V983086 = V622309. assign V531045 = V297220. assign V333791 = V877760 - 1. assign V993514 = V261042 + 1. assign V488242 = V430578. assign V912457 = V638653. assign V662243 = V059763 - 1. assign V645862 = V407264. assign V882645 = V708898. assign V398158 = V059763 + 1. assign V464845 = V204239. assign V025885 = V178695. assign V702143 = V491022. assign V342977 = V330224 + 1. assign V335919 = V297220 - 1. assign V781008 = V166046. assign V366257 = V833771. assign V090561 = V627542. assign V757292 = V986511 - 1. assign V262382 = V499120 - 1. assign V927565 = V916902 - 1. assign V367275 = V430578 - 1. assign V763712 = V059763 + 1. assign V708898 = V335919. assign V377840 = V916124 - 1. assign V599162 = V716682 + 1. assign V891840 = V384572. assign V727882 = V986027 + 1. assign V300593 = V972686. assign V158061 = V927565 + 1. assign V062858 = V312245 + 1. assign V031095 = V972686 + 1. assign V166046 = V972686 - 1. assign V861401 = V716682. assign V877760 = V441940 - 1. assign V255147 = V661800 - 1. assign V407497 = V662243 + 1. assign V250897 = V407497. assign V235222 = V381760 + 1. assign V308430 = V018540 + 1. assign V461215 = V330224 - 1. assign V315043 = V927565. assign V161325 = V566675. assign V269933 = V398158 + 1. assign V550039 = V335919 + 1. assign V998426 = V494144. assign V297220 = V783964 - 1. assign V661800 = V669654 - 1. assign V481316 = V576651 + 1. assign V892551 = V873820 + 1. assign V297442 = V876435 - 1. assign V664100 = V716682. assign V574467 = V114742 - 1. assign V020312 = V090561 - 1. assign V747853 = V018540 - 1. assign V331758 = V916902. assign V261042 = V059763 + 1. assign V460920 = V776118 - 1. assign V114742 = V377840 - 1. assign V871829 = V499120 + 1. assign V161132 = V059763. assign V971119 = V622309 - 1. assign V469676 = V906767 + 1. assign V710014 = V661800 - 1. assign V335072 = V441940. assign V777985 = V841383 - 1. assign V562510 = V407497. assign V863155 = V861401. assign V129457 = V777985 + 1. assign V276821 = V754311 + 1. assign V819690 = V972686 + 1. assign V285623 = V622309. assign V257299 = V763712 - 1. assign V007190 = V565790 - 1. assign V067656 = V407264 + 1. assign V735085 = V552276. assign V434351 = V407497 + 1. assign V937755 = V018540 + 1. assign V972686 = V763712. assign V746311 = V998426. assign V640869 = V776421. assign V792536 = V971119 + 1. assign V381760 = V407264 + 1. assign V594732 = V178695 + 1. assign V471811 = V476385 + 1. assign V552276 = V916902 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V778862 = V669654 + 1. assign V384572 = V763712 + 1. assign V622309 = V059763 - 1. assign V335641 = V998426 + 1. assign V312245 = V059763 + 1. assign V608024 = V791652. assign V311119 = V261042 + 1. assign V018540 = V622309 + 1. assign V059763 = V927565. assign V106567 = V566675 + 1. assign V669654 = V781008 - 1. assign V191466 = V129457 - 1. assign V592722 = V178695. assign V847378 = V819690 - 1. assign V876435 = V638653 - 1. assign V476385 = V552276 - 1. assign V365881 = V491022 + 1. assign V218007 = V434351. assign V051121 = V627542 - 1. assign V287905 = V204239 - 1. assign V716682 = V971119. assign V293119 = V552276 - 1. assign V321492 = V218259. assign V776118 = V773895 - 1. assign V648642 = V819690 + 1. assign V407264 = V476385 + 1. assign V546332 = V456875. assign V430578 = V552276 - 1. assign V491022 = V972686 - 1. assign V514266 = V384572 + 1. assign V355470 = V715993 - 1. assign V232431 = V746311 + 1. assign V791652 = V330224 - 1. assign V841383 = V819690. assign V069305 = V892551 + 1. assign V022880 = V863155 - 1. assign V303799 = V971119. assign V293595 = V566675 - 1. assign V139903 = V158061. assign V441940 = V746311. assign V909747 = V441940. assign V499120 = V312245. assign V906767 = 10. assign V363847 = V269933 - 1. assign V565790 = V983086 - 1. assign V881952 = V018540 + 1. assign V302094 = V398158 - 1. assign V776421 = V716682 + 1. assign V576651 = V662243 + 1. assign V648918 = V335919 + 1. assign V715993 = V986027. assign V218259 = V166046. assign V191410 = V031095 + 1. assign V783964 = V972686 + 1. assign V921424 = V312245 + 1. assign V833771 = V293119. assign V916124 = V763712 + 1. assign V986027 = V161132 - 1. assign V697655 = V927565. assign V059524 = V276821 + 1. assign V854455 = V494144. assign V179137 = V662243. assign V456875 = V330224. assign V491408 = V791652 - 1. assign V204239 = V476385. assign V316213 = V051121 + 1. assign V754311 = V916902 + 1. assign V169915 = V476385 + 1. assign V627542 = V494144. assign V773895 = V986511. assign V986511 = V622309 + 1. assign V018557 = V161325. assign V546745 = V312245 + 1. assign V330224 = V552276. assign V873820 = V863155 + 1. assign V178695 = V179137 - 1. assign V638653 = V330224. assign V643452 = V776118. assign V494144 = V303799 + 1. assign V932718 = V746311 + 1. assign V564391 = V861401 - 1. assign V424045 = V971119. assign V566675 = V783964. assign V230014 = V441940 - 1. assign V104964 = V599162 - 1. assign V672503 = V441940. assign V983086 = V622309. assign V531045 = V297220. assign V333791 = V877760 - 1. assign V993514 = V261042 + 1. assign V488242 = V430578. assign V912457 = V638653. assign V662243 = V059763 - 1. assign V645862 = V407264. assign V882645 = V708898. assign V398158 = V059763 + 1. assign V464845 = V204239. assign V025885 = V178695. assign V702143 = V491022. assign V342977 = V330224 + 1. assign V335919 = V297220 - 1. assign V781008 = V166046. assign V366257 = V833771. assign V090561 = V627542. assign V757292 = V986511 - 1. assign V262382 = V499120 - 1. assign V927565 = V916902 - 1. assign V367275 = V430578 - 1. assign V763712 = V059763 + 1. assign V708898 = V335919. assign V377840 = V916124 - 1. assign V599162 = V716682 + 1. assign V891840 = V384572. assign V727882 = V986027 + 1. assign V300593 = V972686. assign V158061 = V927565 + 1. assign V062858 = V312245 + 1. assign V031095 = V972686 + 1. assign V166046 = V972686 - 1. assign V861401 = V716682. assign V877760 = V441940 - 1. assign V255147 = V661800 - 1. assign V407497 = V662243 + 1. assign V250897 = V407497. assign V235222 = V381760 + 1. assign V308430 = V018540 + 1. assign V461215 = V330224 - 1. assign V315043 = V927565. assign V161325 = V566675. assign V269933 = V398158 + 1. assign V550039 = V335919 + 1. assign V998426 = V494144. assign V297220 = V783964 - 1. assign V661800 = V669654 - 1. assign V481316 = V576651 + 1. assign V892551 = V873820 + 1. assign V297442 = V876435 - 1. assign V664100 = V716682. assign V574467 = V114742 - 1. assign V020312 = V090561 - 1. assign V747853 = V018540 - 1. assign V331758 = V916902. assign V261042 = V059763 + 1. assign V460920 = V776118 - 1. assign V114742 = V377840 - 1. assign V871829 = V499120 + 1. assign V161132 = V059763. assign V971119 = V622309 - 1. assign V469676 = V906767 + 1. assign V710014 = V661800 - 1. assign V335072 = V441940. assign V777985 = V841383 - 1. assign V562510 = V407497. assign V863155 = V861401. assign V129457 = V777985 + 1. assign V276821 = V754311 + 1. assign V819690 = V972686 + 1. assign V285623 = V622309. assign V257299 = V763712 - 1. assign V007190 = V565790 - 1. assign V067656 = V407264 + 1. assign V735085 = V552276. assign V434351 = V407497 + 1. assign V937755 = V018540 + 1. assign V972686 = V763712. assign V746311 = V998426. assign V640869 = V776421. assign V792536 = V971119 + 1. assign V381760 = V407264 + 1. assign V594732 = V178695 + 1. assign V471811 = V476385 + 1. assign V552276 = V916902 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV906767 = 10;\n\nFrom these direct assignment(s), we have: \nV469676 = V906767 + 1 = 10 + 1 =11;\nNo other variables can be derived from V469676;\nNo other variables can be derived from V906767;\n\nNow we have done all the calculations. Derived variables are:\nV906767 = 10;\nV469676 = 11;\n\nNow we have finished this problem. ANSWER:\nV469676\n", "role": "assistant" } ]

[ "V060499", "V106171" ]

[ { "content": "<context>\nassign V106171 = V060499. assign V474139 = V138403 + 1. assign V726612 = V236294. assign V769965 = V675490. assign V489593 = V136507 + 1. assign V904637 = V421314. assign V392514 = V715168 - 1. assign V038385 = V080810 - 1. assign V348586 = V340191 + 1. assign V282438 = V893270 - 1. assign V699915 = V675490 + 1. assign V644279 = V432576 + 1. assign V159190 = V392514. assign V060499 = 5. assign V744032 = V358207 - 1. assign V650261 = V392514. assign V067761 = V699915. assign V934913 = V748705 + 1. assign V768700 = V461089 - 1. assign V512357 = V247503 + 1. assign V782634 = V919044 + 1. assign V995238 = V106862 + 1. assign V836761 = V354237 + 1. assign V956386 = V843740. assign V214646 = V003707 + 1. assign V093709 = V865624 - 1. assign V003707 = V977449. assign V461089 = V340615 + 1. assign V354237 = V391189. assign V190532 = V173548 + 1. assign V312778 = V338114. assign V926975 = V385530. assign V715168 = V504565 - 1. assign V851728 = V639766 - 1. assign V787310 = V461089 - 1. assign V031396 = V913619 - 1. assign V091062 = V913619 - 1. assign V441377 = V385530. assign V432576 = V787310 - 1. assign V234575 = V561144 - 1. assign V173548 = V080810 + 1. assign V587389 = V385530 + 1. assign V687313 = V970116 - 1. assign V445599 = V236294. assign V763638 = V173548 - 1. assign V132015 = V893270 - 1. assign V391189 = V675490 - 1. assign V766119 = V991646 + 1. assign V755684 = V001618. assign V642408 = V392514 + 1. assign V591692 = V385530 - 1. assign V106862 = V412814. assign V910399 = V247503. assign V196120 = V318906. assign V224211 = V413482 - 1. assign V385530 = V461089 + 1. assign V248259 = V445599 + 1. assign V282416 = V651180 - 1. assign V075485 = V977449. assign V909714 = V185834 + 1. assign V705310 = V956386. assign V412814 = V865624 + 1. assign V563992 = V991646 + 1. assign V233067 = V504565 - 1. assign V680109 = V675490 + 1. assign V993310 = V173548 - 1. assign V117063 = V456869. assign V080810 = V432576 - 1. assign V893270 = V461089 + 1. assign V100630 = V247892. assign V338114 = V893270 - 1. assign V267886 = V580946 + 1. assign V190316 = V046475 + 1. assign V580946 = V445599 + 1. assign V482210 = V787310 - 1. assign V069025 = V675490 - 1. assign V046475 = V247892 + 1. assign V421314 = V956386. assign V970116 = V354237 + 1. assign V400724 = V225741. assign V456869 = V926975 - 1. assign V358207 = V385530 - 1. assign V247503 = V138403 - 1. assign V521021 = V315491 - 1. assign V089314 = V035449. assign V171429 = V385530 - 1. assign V258358 = V489593. assign V808035 = V132015 + 1. assign V678344 = V003707 + 1. assign V864748 = V295386. assign V466408 = V042587. assign V534357 = V763638 - 1. assign V161178 = V185539 + 1. assign V758789 = V461089. assign V761998 = V504565 - 1. assign V913619 = V089314. assign V907811 = V512357. assign V350853 = V441377 + 1. assign V011804 = V642408 - 1. assign V340615 = V089314. assign V568500 = V893965 - 1. assign V237216 = V340615. assign V919044 = V787310 - 1. assign V366043 = V358207 + 1. assign V675766 = V843740 + 1. assign V740671 = V789972 + 1. assign V469017 = V680109 + 1. assign V476550 = V591692 - 1. assign V385075 = V173548. assign V441763 = V185893 + 1. assign V935105 = V282416 + 1. assign V789972 = V171429 + 1. assign V831542 = V312778 + 1. assign V662340 = V642408. assign V991646 = V606564. assign V225741 = V489593 + 1. assign V026275 = V171429 + 1. assign V395452 = V441377 - 1. assign V042587 = V843740 - 1. assign V138403 = V504565 + 1. assign V413482 = V836761 + 1. assign V649072 = V161178 + 1. assign V663006 = V640060 - 1. assign V865624 = V391189. assign V074219 = V412814. assign V579008 = V482210 + 1. assign V559150 = V011804 + 1. assign V893965 = V173548 + 1. assign V626261 = V651180 + 1. assign V926518 = V512357 - 1. assign V639766 = V295386. assign V748705 = V640060. assign V917141 = V173548 - 1. assign V815871 = V675766 + 1. assign V675490 = V787310 + 1. assign V504565 = V441377 - 1. assign V651180 = V675766. assign V327850 = V638713 - 1. assign V108501 = V196120. assign V136084 = V093709 - 1. assign V185893 = V445599 + 1. assign V578999 = V185893 + 1. assign V318906 = V358207 - 1. assign V643522 = V132015 - 1. assign V315491 = V782634. assign V340191 = V504565 - 1. assign V606564 = V699915 + 1. assign V104258 = V348586 + 1. assign V295386 = V917141 - 1. assign V185834 = V639766 - 1. assign V182172 = V190316 + 1. assign V349730 = V225741 - 1. assign V236294 = V035449 - 1. assign V561144 = V236294. assign V977449 = V391189. assign V194559 = V769965 + 1. assign V174955 = V675766 + 1. assign V480457 = V591692 + 1. assign V245109 = V385075 - 1. assign V136507 = V977449. assign V638713 = V836761 + 1. assign V247892 = V768700 - 1. assign V843740 = V591692 + 1. assign V143136 = V642408. assign V216422 = V591692 - 1. assign V906791 = V069025. assign V001618 = V480457 + 1. assign V013601 = V639766 - 1. assign V904384 = V715168 - 1. assign V640060 = V354237. assign V185539 = V445599. assign V436514 = V248259 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V106171 = V060499. assign V474139 = V138403 + 1. assign V726612 = V236294. assign V769965 = V675490. assign V489593 = V136507 + 1. assign V904637 = V421314. assign V392514 = V715168 - 1. assign V038385 = V080810 - 1. assign V348586 = V340191 + 1. assign V282438 = V893270 - 1. assign V699915 = V675490 + 1. assign V644279 = V432576 + 1. assign V159190 = V392514. assign V060499 = 5. assign V744032 = V358207 - 1. assign V650261 = V392514. assign V067761 = V699915. assign V934913 = V748705 + 1. assign V768700 = V461089 - 1. assign V512357 = V247503 + 1. assign V782634 = V919044 + 1. assign V995238 = V106862 + 1. assign V836761 = V354237 + 1. assign V956386 = V843740. assign V214646 = V003707 + 1. assign V093709 = V865624 - 1. assign V003707 = V977449. assign V461089 = V340615 + 1. assign V354237 = V391189. assign V190532 = V173548 + 1. assign V312778 = V338114. assign V926975 = V385530. assign V715168 = V504565 - 1. assign V851728 = V639766 - 1. assign V787310 = V461089 - 1. assign V031396 = V913619 - 1. assign V091062 = V913619 - 1. assign V441377 = V385530. assign V432576 = V787310 - 1. assign V234575 = V561144 - 1. assign V173548 = V080810 + 1. assign V587389 = V385530 + 1. assign V687313 = V970116 - 1. assign V445599 = V236294. assign V763638 = V173548 - 1. assign V132015 = V893270 - 1. assign V391189 = V675490 - 1. assign V766119 = V991646 + 1. assign V755684 = V001618. assign V642408 = V392514 + 1. assign V591692 = V385530 - 1. assign V106862 = V412814. assign V910399 = V247503. assign V196120 = V318906. assign V224211 = V413482 - 1. assign V385530 = V461089 + 1. assign V248259 = V445599 + 1. assign V282416 = V651180 - 1. assign V075485 = V977449. assign V909714 = V185834 + 1. assign V705310 = V956386. assign V412814 = V865624 + 1. assign V563992 = V991646 + 1. assign V233067 = V504565 - 1. assign V680109 = V675490 + 1. assign V993310 = V173548 - 1. assign V117063 = V456869. assign V080810 = V432576 - 1. assign V893270 = V461089 + 1. assign V100630 = V247892. assign V338114 = V893270 - 1. assign V267886 = V580946 + 1. assign V190316 = V046475 + 1. assign V580946 = V445599 + 1. assign V482210 = V787310 - 1. assign V069025 = V675490 - 1. assign V046475 = V247892 + 1. assign V421314 = V956386. assign V970116 = V354237 + 1. assign V400724 = V225741. assign V456869 = V926975 - 1. assign V358207 = V385530 - 1. assign V247503 = V138403 - 1. assign V521021 = V315491 - 1. assign V089314 = V035449. assign V171429 = V385530 - 1. assign V258358 = V489593. assign V808035 = V132015 + 1. assign V678344 = V003707 + 1. assign V864748 = V295386. assign V466408 = V042587. assign V534357 = V763638 - 1. assign V161178 = V185539 + 1. assign V758789 = V461089. assign V761998 = V504565 - 1. assign V913619 = V089314. assign V907811 = V512357. assign V350853 = V441377 + 1. assign V011804 = V642408 - 1. assign V340615 = V089314. assign V568500 = V893965 - 1. assign V237216 = V340615. assign V919044 = V787310 - 1. assign V366043 = V358207 + 1. assign V675766 = V843740 + 1. assign V740671 = V789972 + 1. assign V469017 = V680109 + 1. assign V476550 = V591692 - 1. assign V385075 = V173548. assign V441763 = V185893 + 1. assign V935105 = V282416 + 1. assign V789972 = V171429 + 1. assign V831542 = V312778 + 1. assign V662340 = V642408. assign V991646 = V606564. assign V225741 = V489593 + 1. assign V026275 = V171429 + 1. assign V395452 = V441377 - 1. assign V042587 = V843740 - 1. assign V138403 = V504565 + 1. assign V413482 = V836761 + 1. assign V649072 = V161178 + 1. assign V663006 = V640060 - 1. assign V865624 = V391189. assign V074219 = V412814. assign V579008 = V482210 + 1. assign V559150 = V011804 + 1. assign V893965 = V173548 + 1. assign V626261 = V651180 + 1. assign V926518 = V512357 - 1. assign V639766 = V295386. assign V748705 = V640060. assign V917141 = V173548 - 1. assign V815871 = V675766 + 1. assign V675490 = V787310 + 1. assign V504565 = V441377 - 1. assign V651180 = V675766. assign V327850 = V638713 - 1. assign V108501 = V196120. assign V136084 = V093709 - 1. assign V185893 = V445599 + 1. assign V578999 = V185893 + 1. assign V318906 = V358207 - 1. assign V643522 = V132015 - 1. assign V315491 = V782634. assign V340191 = V504565 - 1. assign V606564 = V699915 + 1. assign V104258 = V348586 + 1. assign V295386 = V917141 - 1. assign V185834 = V639766 - 1. assign V182172 = V190316 + 1. assign V349730 = V225741 - 1. assign V236294 = V035449 - 1. assign V561144 = V236294. assign V977449 = V391189. assign V194559 = V769965 + 1. assign V174955 = V675766 + 1. assign V480457 = V591692 + 1. assign V245109 = V385075 - 1. assign V136507 = V977449. assign V638713 = V836761 + 1. assign V247892 = V768700 - 1. assign V843740 = V591692 + 1. assign V143136 = V642408. assign V216422 = V591692 - 1. assign V906791 = V069025. assign V001618 = V480457 + 1. assign V013601 = V639766 - 1. assign V904384 = V715168 - 1. assign V640060 = V354237. assign V185539 = V445599. assign V436514 = V248259 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV060499 = 5;\n\nFrom these direct assignment(s), we have: \nV106171 = V060499 = 5;\nNo other variables can be derived from V106171;\nNo other variables can be derived from V060499;\n\nNow we have done all the calculations. Derived variables are:\nV060499 = 5;\nV106171 = 5;\n\nNow we have finished this problem. ANSWER:\nV060499, V106171\n", "role": "assistant" } ]

[ "V866227" ]

[ { "content": "<context>\nassign V191799 = V145699 - 1. assign V235592 = V214989 + 1. assign V617553 = V188217. assign V262811 = V213453. assign V023681 = V479042 + 1. assign V121922 = V680906 - 1. assign V635538 = V239224 + 1. assign V124766 = V926080 + 1. assign V157726 = V038962 + 1. assign V979701 = V191799 - 1. assign V567151 = V651473 - 1. assign V802641 = V574408 + 1. assign V821765 = V971127. assign V077802 = V306797 - 1. assign V773624 = V016530 - 1. assign V671229 = V816920. assign V438496 = V730264 + 1. assign V034961 = V567151. assign V285673 = V249892. assign V639422 = V879996 - 1. assign V188217 = V971127 - 1. assign V329660 = V032966 + 1. assign V369263 = V275734. assign V879996 = V214989 + 1. assign V730264 = V213453 - 1. assign V214819 = V588389 - 1. assign V735579 = V630291 - 1. assign V684887 = V979701. assign V466527 = V038962. assign V207338 = V735579 + 1. assign V983884 = V191799 - 1. assign V067123 = V678363 - 1. assign V637462 = V707559. assign V155342 = V567151. assign V309424 = V795200. assign V238822 = V684887. assign V844299 = V309424. assign V988394 = V862690 + 1. assign V460784 = V157726 + 1. assign V258290 = V214989. assign V663257 = V574408 + 1. assign V493451 = V022242 + 1. assign V843164 = V378722. assign V275091 = V038962 - 1. assign V642963 = V032966. assign V621567 = V302827. assign V927442 = V557977 - 1. assign V971789 = V409305. assign V066728 = V213453 - 1. assign V851830 = V331656. assign V787323 = V213453. assign V275734 = V121922. assign V904822 = V249892. assign V224460 = V527558 + 1. assign V479042 = V567151 - 1. assign V938961 = V329660 + 1. assign V689444 = V157726. assign V144802 = V874616 - 1. assign V825310 = V275734 + 1. assign V389626 = V866227 + 1. assign V016530 = V466527 + 1. assign V375935 = V574408 - 1. assign V654058 = V674683 + 1. assign V263168 = V762788. assign V809469 = V140235 - 1. assign V302827 = V927442 - 1. assign V222182 = V780331 + 1. assign V409305 = V466527. assign V947810 = V071247. assign V211176 = V460784 + 1. assign V588389 = V249892 + 1. assign V455958 = V862690. assign V362470 = V121922. assign V860659 = V575785 + 1. assign V775556 = V709363 - 1. assign V866227 = 10. assign V331656 = V214989 + 1. assign V242589 = V802641 + 1. assign V926080 = V325115. assign V339226 = V971127 + 1. assign V408493 = V575785 - 1. assign V317627 = V163718. assign V071247 = V809469 + 1. assign V961170 = V579650 - 1. assign V816920 = V409305. assign V249892 = V331656. assign V080893 = V438496 + 1. assign V756404 = V574408. assign V777672 = V843164. assign V688690 = V317627 - 1. assign V349923 = V714503 + 1. assign V378722 = V971127 - 1. assign V279618 = V466527 + 1. assign V674069 = V258290. assign V090144 = V963787. assign V527558 = V066728 - 1. assign V051340 = V795200 + 1. assign V560034 = V333801 + 1. assign V214989 = V557977 - 1. assign V709363 = V655687. assign V891208 = V579650 + 1. assign V795200 = V680906 + 1. assign V213453 = V821765 + 1. assign V306797 = V140235 - 1. assign V966747 = V466527 + 1. assign V871713 = V862690. assign V739814 = V802641. assign V118734 = V279505. assign V574408 = V787323. assign V682028 = V684887. assign V980504 = V339226 - 1. assign V678363 = V163718 - 1. assign V971127 = V651473. assign V303652 = V214989 + 1. assign V963787 = V331656 + 1. assign V336328 = V275091. assign V627357 = V306797 - 1. assign V163718 = V674683 - 1. assign V239224 = V163718 - 1. assign V254368 = V051340. assign V714503 = V140235. assign V862690 = V213453 - 1. assign V735348 = V574408. assign V848657 = V213453 + 1. assign V028349 = V313318 - 1. assign V022242 = V688690. assign V883839 = V809469 + 1. assign V968435 = V263168 + 1. assign V038962 = V651473 - 1. assign V874616 = V690349 - 1. assign V325115 = V140235. assign V780331 = V466527. assign V630291 = V325115. assign V814338 = V961170 - 1. assign V575785 = V213453 + 1. assign V279505 = V795200 - 1. assign V156418 = V574408 + 1. assign V604763 = V879996 + 1. assign V145699 = V331656 - 1. assign V579650 = V339226 + 1. assign V104681 = V829432 + 1. assign V354780 = V777672. assign V884494 = V930216 - 1. assign V140235 = V651473 - 1. assign V475997 = V306797 + 1. assign V595005 = V983884. assign V093520 = V821765 - 1. assign V707559 = V925409 + 1. assign V287246 = V651473 + 1. assign V124514 = V663257. assign V313318 = V821765. assign V655687 = V925409 - 1. assign V290050 = V730264. assign V557977 = V038962 + 1. assign V689188 = V157726 - 1. assign V119867 = V006084 - 1. assign V674683 = V387807. assign V690349 = V303652 - 1. assign V930216 = V680906 + 1. assign V109173 = V235592 + 1. assign V006084 = V821765. assign V617294 = V527558 + 1. assign V333801 = V557977. assign V925409 = V317627 - 1. assign V032966 = V735579. assign V829432 = V777672 - 1. assign V582108 = V306797 - 1. assign V762788 = V851830 - 1. assign V973719 = V119867. assign V680906 = V971127 + 1. assign V387807 = V809469 + 1. assign V701319 = V279505 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V191799 = V145699 - 1. assign V235592 = V214989 + 1. assign V617553 = V188217. assign V262811 = V213453. assign V023681 = V479042 + 1. assign V121922 = V680906 - 1. assign V635538 = V239224 + 1. assign V124766 = V926080 + 1. assign V157726 = V038962 + 1. assign V979701 = V191799 - 1. assign V567151 = V651473 - 1. assign V802641 = V574408 + 1. assign V821765 = V971127. assign V077802 = V306797 - 1. assign V773624 = V016530 - 1. assign V671229 = V816920. assign V438496 = V730264 + 1. assign V034961 = V567151. assign V285673 = V249892. assign V639422 = V879996 - 1. assign V188217 = V971127 - 1. assign V329660 = V032966 + 1. assign V369263 = V275734. assign V879996 = V214989 + 1. assign V730264 = V213453 - 1. assign V214819 = V588389 - 1. assign V735579 = V630291 - 1. assign V684887 = V979701. assign V466527 = V038962. assign V207338 = V735579 + 1. assign V983884 = V191799 - 1. assign V067123 = V678363 - 1. assign V637462 = V707559. assign V155342 = V567151. assign V309424 = V795200. assign V238822 = V684887. assign V844299 = V309424. assign V988394 = V862690 + 1. assign V460784 = V157726 + 1. assign V258290 = V214989. assign V663257 = V574408 + 1. assign V493451 = V022242 + 1. assign V843164 = V378722. assign V275091 = V038962 - 1. assign V642963 = V032966. assign V621567 = V302827. assign V927442 = V557977 - 1. assign V971789 = V409305. assign V066728 = V213453 - 1. assign V851830 = V331656. assign V787323 = V213453. assign V275734 = V121922. assign V904822 = V249892. assign V224460 = V527558 + 1. assign V479042 = V567151 - 1. assign V938961 = V329660 + 1. assign V689444 = V157726. assign V144802 = V874616 - 1. assign V825310 = V275734 + 1. assign V389626 = V866227 + 1. assign V016530 = V466527 + 1. assign V375935 = V574408 - 1. assign V654058 = V674683 + 1. assign V263168 = V762788. assign V809469 = V140235 - 1. assign V302827 = V927442 - 1. assign V222182 = V780331 + 1. assign V409305 = V466527. assign V947810 = V071247. assign V211176 = V460784 + 1. assign V588389 = V249892 + 1. assign V455958 = V862690. assign V362470 = V121922. assign V860659 = V575785 + 1. assign V775556 = V709363 - 1. assign V866227 = 10. assign V331656 = V214989 + 1. assign V242589 = V802641 + 1. assign V926080 = V325115. assign V339226 = V971127 + 1. assign V408493 = V575785 - 1. assign V317627 = V163718. assign V071247 = V809469 + 1. assign V961170 = V579650 - 1. assign V816920 = V409305. assign V249892 = V331656. assign V080893 = V438496 + 1. assign V756404 = V574408. assign V777672 = V843164. assign V688690 = V317627 - 1. assign V349923 = V714503 + 1. assign V378722 = V971127 - 1. assign V279618 = V466527 + 1. assign V674069 = V258290. assign V090144 = V963787. assign V527558 = V066728 - 1. assign V051340 = V795200 + 1. assign V560034 = V333801 + 1. assign V214989 = V557977 - 1. assign V709363 = V655687. assign V891208 = V579650 + 1. assign V795200 = V680906 + 1. assign V213453 = V821765 + 1. assign V306797 = V140235 - 1. assign V966747 = V466527 + 1. assign V871713 = V862690. assign V739814 = V802641. assign V118734 = V279505. assign V574408 = V787323. assign V682028 = V684887. assign V980504 = V339226 - 1. assign V678363 = V163718 - 1. assign V971127 = V651473. assign V303652 = V214989 + 1. assign V963787 = V331656 + 1. assign V336328 = V275091. assign V627357 = V306797 - 1. assign V163718 = V674683 - 1. assign V239224 = V163718 - 1. assign V254368 = V051340. assign V714503 = V140235. assign V862690 = V213453 - 1. assign V735348 = V574408. assign V848657 = V213453 + 1. assign V028349 = V313318 - 1. assign V022242 = V688690. assign V883839 = V809469 + 1. assign V968435 = V263168 + 1. assign V038962 = V651473 - 1. assign V874616 = V690349 - 1. assign V325115 = V140235. assign V780331 = V466527. assign V630291 = V325115. assign V814338 = V961170 - 1. assign V575785 = V213453 + 1. assign V279505 = V795200 - 1. assign V156418 = V574408 + 1. assign V604763 = V879996 + 1. assign V145699 = V331656 - 1. assign V579650 = V339226 + 1. assign V104681 = V829432 + 1. assign V354780 = V777672. assign V884494 = V930216 - 1. assign V140235 = V651473 - 1. assign V475997 = V306797 + 1. assign V595005 = V983884. assign V093520 = V821765 - 1. assign V707559 = V925409 + 1. assign V287246 = V651473 + 1. assign V124514 = V663257. assign V313318 = V821765. assign V655687 = V925409 - 1. assign V290050 = V730264. assign V557977 = V038962 + 1. assign V689188 = V157726 - 1. assign V119867 = V006084 - 1. assign V674683 = V387807. assign V690349 = V303652 - 1. assign V930216 = V680906 + 1. assign V109173 = V235592 + 1. assign V006084 = V821765. assign V617294 = V527558 + 1. assign V333801 = V557977. assign V925409 = V317627 - 1. assign V032966 = V735579. assign V829432 = V777672 - 1. assign V582108 = V306797 - 1. assign V762788 = V851830 - 1. assign V973719 = V119867. assign V680906 = V971127 + 1. assign V387807 = V809469 + 1. assign V701319 = V279505 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV866227 = 10;\n\nFrom these direct assignment(s), we have: \nV389626 = V866227 + 1 = 10 + 1 =11;\nNo other variables can be derived from V389626;\nNo other variables can be derived from V866227;\n\nNow we have done all the calculations. Derived variables are:\nV866227 = 10;\nV389626 = 11;\n\nNow we have finished this problem. ANSWER:\nV866227\n", "role": "assistant" } ]

[ "V330190", "V204830" ]

[ { "content": "<context>\nassign V475433 = V093082. assign V361104 = V907519 - 1. assign V716680 = V514264 - 1. assign V983602 = V998778 + 1. assign V949413 = V751421 + 1. assign V770722 = V104876. assign V212070 = V282967. assign V995135 = V653720 - 1. assign V009210 = V740700 - 1. assign V427666 = V590456 + 1. assign V625900 = V992077 + 1. assign V030809 = V093082 - 1. assign V489360 = V700298 - 1. assign V695047 = V093082 - 1. assign V083728 = V373754 + 1. assign V377940 = V700298 - 1. assign V134861 = V010261. assign V093187 = V097866 - 1. assign V000912 = V110911. assign V261717 = V193711 + 1. assign V204830 = V330190. assign V493155 = V491087. assign V491005 = V391374 + 1. assign V992077 = V922478 + 1. assign V110365 = V491087 - 1. assign V027276 = V695047 + 1. assign V989380 = V695047 + 1. assign V104876 = V427666 + 1. assign V191253 = V554361 - 1. assign V649724 = V475268. assign V626695 = V268076 - 1. assign V787161 = V590456. assign V737707 = V080005 + 1. assign V193711 = V373754 + 1. assign V608795 = V491087 - 1. assign V530657 = V849279 - 1. assign V935316 = V433062 + 1. assign V922478 = V491087 + 1. assign V748421 = V608795 - 1. assign V307937 = V590456 + 1. assign V531902 = V985146 - 1. assign V737538 = V171188. assign V282967 = V171188 - 1. assign V064947 = V110365. assign V145022 = V491005 + 1. assign V567728 = V925943 + 1. assign V891700 = V307937 - 1. assign V287482 = V773921 - 1. assign V555591 = V740700 - 1. assign V752708 = V086367 - 1. assign V760917 = V093082 + 1. assign V550084 = V010261 - 1. assign V227397 = V110365. assign V051022 = V957940 - 1. assign V846453 = V590456. assign V653720 = V227397. assign V428917 = V491005 - 1. assign V080005 = V493155. assign V352696 = V080978 + 1. assign V700298 = V064947 - 1. assign V011741 = V174494 + 1. assign V110911 = V922478 + 1. assign V554361 = V822606 - 1. assign V888527 = V428917 + 1. assign V740700 = V822606. assign V268076 = V391374 - 1. assign V062555 = V433062. assign V458060 = V391374 + 1. assign V439923 = V051022 - 1. assign V550181 = V398542 - 1. assign V270902 = V272277 - 1. assign V389710 = V093082 + 1. assign V325353 = V773921 - 1. assign V481536 = V145022 + 1. assign V621930 = V695047 + 1. assign V491087 = V097866 + 1. assign V398542 = V110911 + 1. assign V601742 = V822606 + 1. assign V502487 = V992077. assign V146312 = V268076. assign V086367 = V500901 + 1. assign V925943 = V846453. assign V751421 = V009210 - 1. assign V272277 = V491087 + 1. assign V712349 = V000912 - 1. assign V756544 = V554361 - 1. assign V010261 = V590456 - 1. assign V093082 = V491005 - 1. assign V684252 = V145022 + 1. assign V988923 = V760917 - 1. assign V223561 = V042203. assign V500901 = V787161 - 1. assign V768092 = V787161 + 1. assign V931347 = V787161 - 1. assign V080978 = V287482. assign V243330 = V307937 + 1. assign V093512 = V590456 + 1. assign V754755 = V683313 + 1. assign V683313 = V822606 - 1. assign V957940 = V268076 - 1. assign V949548 = V093187. assign V245697 = V590966 - 1. assign V903237 = V272525 + 1. assign V042203 = V391374 + 1. assign V773921 = V846453 - 1. assign V203688 = V608795 + 1. assign V806256 = V493155 - 1. assign V660792 = V488520 + 1. assign V475268 = V554361. assign V452839 = V590456 - 1. assign V962010 = V307937 - 1. assign V230440 = V925943 + 1. assign V410334 = V653720 - 1. assign V822606 = V885799 + 1. assign V174494 = V452839 - 1. assign V889145 = V227397 - 1. assign V945351 = V760917 + 1. assign V327651 = V391374. assign V055624 = V651652. assign V689793 = V178060 - 1. assign V211803 = V773921. assign V412632 = V097866 + 1. assign V632807 = V391374 + 1. assign V272525 = V787161. assign V590966 = V773921 + 1. assign V272781 = V925943 + 1. assign V998778 = V475433 + 1. assign V144740 = V427666. assign V952914 = V995135 - 1. assign V097866 = V491005 - 1. assign V837649 = V695047 + 1. assign V111860 = V985146 - 1. assign V675260 = V064871. assign V875705 = V000912 + 1. assign V151631 = V306005. assign V575569 = V683313 + 1. assign V563472 = V888527 + 1. assign V514264 = V391374 + 1. assign V318669 = V433062 - 1. assign V885799 = V391374 - 1. assign V561424 = V127583 + 1. assign V972655 = V740700 - 1. assign V333877 = V193711 + 1. assign V171188 = V756544 - 1. assign V330190 = 6. assign V200980 = V191253 + 1. assign V472721 = V885799 + 1. assign V160396 = V989380. assign V178060 = V752708 + 1. assign V127583 = V985146 - 1. assign V935147 = V352696. assign V064871 = V243330 + 1. assign V642186 = V245697 - 1. assign V793027 = V972655 - 1. assign V264448 = V191253 + 1. assign V607172 = V500901 - 1. assign V879277 = V093082. assign V008355 = V306005. assign V485113 = V307937 + 1. assign V590456 = V491005 + 1. assign V422117 = V093187. assign V985146 = V145022. assign V131359 = V223561. assign V907519 = V488520. assign V346397 = V200980 + 1. assign V849279 = V695047 + 1. assign V373754 = V485113 + 1. assign V426620 = V695047 - 1. assign V651652 = V097866 + 1. assign V488520 = V042203. assign V306005 = V093082 - 1. assign V433062 = V227397 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V475433 = V093082. assign V361104 = V907519 - 1. assign V716680 = V514264 - 1. assign V983602 = V998778 + 1. assign V949413 = V751421 + 1. assign V770722 = V104876. assign V212070 = V282967. assign V995135 = V653720 - 1. assign V009210 = V740700 - 1. assign V427666 = V590456 + 1. assign V625900 = V992077 + 1. assign V030809 = V093082 - 1. assign V489360 = V700298 - 1. assign V695047 = V093082 - 1. assign V083728 = V373754 + 1. assign V377940 = V700298 - 1. assign V134861 = V010261. assign V093187 = V097866 - 1. assign V000912 = V110911. assign V261717 = V193711 + 1. assign V204830 = V330190. assign V493155 = V491087. assign V491005 = V391374 + 1. assign V992077 = V922478 + 1. assign V110365 = V491087 - 1. assign V027276 = V695047 + 1. assign V989380 = V695047 + 1. assign V104876 = V427666 + 1. assign V191253 = V554361 - 1. assign V649724 = V475268. assign V626695 = V268076 - 1. assign V787161 = V590456. assign V737707 = V080005 + 1. assign V193711 = V373754 + 1. assign V608795 = V491087 - 1. assign V530657 = V849279 - 1. assign V935316 = V433062 + 1. assign V922478 = V491087 + 1. assign V748421 = V608795 - 1. assign V307937 = V590456 + 1. assign V531902 = V985146 - 1. assign V737538 = V171188. assign V282967 = V171188 - 1. assign V064947 = V110365. assign V145022 = V491005 + 1. assign V567728 = V925943 + 1. assign V891700 = V307937 - 1. assign V287482 = V773921 - 1. assign V555591 = V740700 - 1. assign V752708 = V086367 - 1. assign V760917 = V093082 + 1. assign V550084 = V010261 - 1. assign V227397 = V110365. assign V051022 = V957940 - 1. assign V846453 = V590456. assign V653720 = V227397. assign V428917 = V491005 - 1. assign V080005 = V493155. assign V352696 = V080978 + 1. assign V700298 = V064947 - 1. assign V011741 = V174494 + 1. assign V110911 = V922478 + 1. assign V554361 = V822606 - 1. assign V888527 = V428917 + 1. assign V740700 = V822606. assign V268076 = V391374 - 1. assign V062555 = V433062. assign V458060 = V391374 + 1. assign V439923 = V051022 - 1. assign V550181 = V398542 - 1. assign V270902 = V272277 - 1. assign V389710 = V093082 + 1. assign V325353 = V773921 - 1. assign V481536 = V145022 + 1. assign V621930 = V695047 + 1. assign V491087 = V097866 + 1. assign V398542 = V110911 + 1. assign V601742 = V822606 + 1. assign V502487 = V992077. assign V146312 = V268076. assign V086367 = V500901 + 1. assign V925943 = V846453. assign V751421 = V009210 - 1. assign V272277 = V491087 + 1. assign V712349 = V000912 - 1. assign V756544 = V554361 - 1. assign V010261 = V590456 - 1. assign V093082 = V491005 - 1. assign V684252 = V145022 + 1. assign V988923 = V760917 - 1. assign V223561 = V042203. assign V500901 = V787161 - 1. assign V768092 = V787161 + 1. assign V931347 = V787161 - 1. assign V080978 = V287482. assign V243330 = V307937 + 1. assign V093512 = V590456 + 1. assign V754755 = V683313 + 1. assign V683313 = V822606 - 1. assign V957940 = V268076 - 1. assign V949548 = V093187. assign V245697 = V590966 - 1. assign V903237 = V272525 + 1. assign V042203 = V391374 + 1. assign V773921 = V846453 - 1. assign V203688 = V608795 + 1. assign V806256 = V493155 - 1. assign V660792 = V488520 + 1. assign V475268 = V554361. assign V452839 = V590456 - 1. assign V962010 = V307937 - 1. assign V230440 = V925943 + 1. assign V410334 = V653720 - 1. assign V822606 = V885799 + 1. assign V174494 = V452839 - 1. assign V889145 = V227397 - 1. assign V945351 = V760917 + 1. assign V327651 = V391374. assign V055624 = V651652. assign V689793 = V178060 - 1. assign V211803 = V773921. assign V412632 = V097866 + 1. assign V632807 = V391374 + 1. assign V272525 = V787161. assign V590966 = V773921 + 1. assign V272781 = V925943 + 1. assign V998778 = V475433 + 1. assign V144740 = V427666. assign V952914 = V995135 - 1. assign V097866 = V491005 - 1. assign V837649 = V695047 + 1. assign V111860 = V985146 - 1. assign V675260 = V064871. assign V875705 = V000912 + 1. assign V151631 = V306005. assign V575569 = V683313 + 1. assign V563472 = V888527 + 1. assign V514264 = V391374 + 1. assign V318669 = V433062 - 1. assign V885799 = V391374 - 1. assign V561424 = V127583 + 1. assign V972655 = V740700 - 1. assign V333877 = V193711 + 1. assign V171188 = V756544 - 1. assign V330190 = 6. assign V200980 = V191253 + 1. assign V472721 = V885799 + 1. assign V160396 = V989380. assign V178060 = V752708 + 1. assign V127583 = V985146 - 1. assign V935147 = V352696. assign V064871 = V243330 + 1. assign V642186 = V245697 - 1. assign V793027 = V972655 - 1. assign V264448 = V191253 + 1. assign V607172 = V500901 - 1. assign V879277 = V093082. assign V008355 = V306005. assign V485113 = V307937 + 1. assign V590456 = V491005 + 1. assign V422117 = V093187. assign V985146 = V145022. assign V131359 = V223561. assign V907519 = V488520. assign V346397 = V200980 + 1. assign V849279 = V695047 + 1. assign V373754 = V485113 + 1. assign V426620 = V695047 - 1. assign V651652 = V097866 + 1. assign V488520 = V042203. assign V306005 = V093082 - 1. assign V433062 = V227397 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV330190 = 6;\n\nFrom these direct assignment(s), we have: \nV204830 = V330190 = 6;\nNo other variables can be derived from V204830;\nNo other variables can be derived from V330190;\n\nNow we have done all the calculations. Derived variables are:\nV330190 = 6;\nV204830 = 6;\n\nNow we have finished this problem. ANSWER:\nV330190, V204830\n", "role": "assistant" } ]

[ "V750639" ]

[ { "content": "<context>\nassign V431197 = V688552. assign V267544 = V453924 + 1. assign V485282 = V725986 + 1. assign V415852 = V000321 + 1. assign V167861 = V700264 + 1. assign V567816 = V755204 - 1. assign V326184 = V156315 + 1. assign V676001 = V936382. assign V018284 = V688552 + 1. assign V844590 = V589426 + 1. assign V000321 = V087783 - 1. assign V586772 = V851950 - 1. assign V278945 = V028762 + 1. assign V858552 = V045894 + 1. assign V315940 = V917948 + 1. assign V152392 = V266329. assign V358487 = V217380. assign V513519 = V239268 + 1. assign V127800 = V586772 - 1. assign V421468 = V278945. assign V921907 = V348013 + 1. assign V717581 = V509784 + 1. assign V385017 = V326184 + 1. assign V928238 = V911965 - 1. assign V838469 = V278945 + 1. assign V677339 = V266329 + 1. assign V151051 = V468109. assign V290270 = V088025. assign V978274 = V786642 - 1. assign V507290 = V151051. assign V241315 = V073283 + 1. assign V927643 = V088025 - 1. assign V851950 = V320095 - 1. assign V488170 = V503317 - 1. assign V028762 = V667049. assign V686700 = V589426 + 1. assign V844491 = V267544. assign V365435 = V303283. assign V741460 = V688552 + 1. assign V826601 = V700264 + 1. assign V514084 = V750639 - 1. assign V923750 = V358487 + 1. assign V266329 = V667049 - 1. assign V700264 = V612318 + 1. assign V303283 = V586772 - 1. assign V207967 = V267544. assign V041188 = V015441. assign V302803 = V205107 - 1. assign V612318 = V418420 + 1. assign V911965 = V612318. assign V154332 = V889483 - 1. assign V857530 = V018284 - 1. assign V162920 = V820671 + 1. assign V725986 = V358487 + 1. assign V320095 = V501145 + 1. assign V155552 = V873696 + 1. assign V882949 = V018284. assign V658654 = V273000. assign V219478 = V162920 + 1. assign V760749 = V245554. assign V730431 = V326184. assign V348013 = V851950 + 1. assign V097779 = V741460 - 1. assign V624460 = V712446 + 1. assign V045894 = V018284 - 1. assign V773871 = V087783 - 1. assign V489183 = V725986 + 1. assign V088025 = V677339. assign V943959 = V290270 - 1. assign V503317 = V589426. assign V022004 = V938657. assign V468109 = V028762 - 1. assign V252965 = V154332 + 1. assign V786642 = V967932 - 1. assign V798506 = V092302 - 1. assign V688552 = V501145 - 1. assign V873696 = V252878. assign V917948 = V431805. assign V280916 = V603473. assign V634034 = V838469 - 1. assign V712446 = V028762 - 1. assign V640900 = V015693 + 1. assign V936382 = V688552 - 1. assign V092302 = V712446 + 1. assign V589426 = V278945 + 1. assign V307598 = V028762 - 1. assign V239268 = V889483. assign V320759 = V730431. assign V745259 = V696273 + 1. assign V082494 = V015441 + 1. assign V576239 = V586772. assign V311737 = V624460 + 1. assign V121014 = V833059 - 1. assign V431805 = V028762 - 1. assign V638794 = V485282 + 1. assign V938657 = V217380. assign V217380 = V741460 + 1. assign V429676 = V455315 - 1. assign V011884 = V833059. assign V650302 = V455315 - 1. assign V745007 = V090266 + 1. assign V729504 = V501145 + 1. assign V713442 = V346940 + 1. assign V820671 = V127800 - 1. assign V833059 = V127800 - 1. assign V085654 = V435021 - 1. assign V838213 = V713442 - 1. assign V087794 = V437443 + 1. assign V357186 = V889483 + 1. assign V880486 = V082494 - 1. assign V603473 = V624460 + 1. assign V703178 = V851950 - 1. assign V450089 = V501145 - 1. assign V437443 = V309193. assign V435021 = V320095 - 1. assign V083390 = V015441 - 1. assign V358004 = V278945 + 1. assign V672474 = V700264 + 1. assign V907987 = V730431 + 1. assign V205107 = V741460 + 1. assign V667049 = V586772. assign V175758 = V241315 - 1. assign V036376 = V121014 - 1. assign V078850 = V018284 + 1. assign V104942 = V127800 + 1. assign V891171 = V028762 + 1. assign V509784 = V485282 + 1. assign V015441 = V468109. assign V871785 = V667049 + 1. assign V418420 = V348013 - 1. assign V791734 = V326184 - 1. assign V252878 = V450089 - 1. assign V090266 = V266329 + 1. assign V245554 = V938657 - 1. assign V696273 = V921907 + 1. assign V455315 = V320095 - 1. assign V478737 = V127800. assign V073283 = V589426 + 1. assign V629531 = V889483 + 1. assign V762991 = V650302 - 1. assign V595503 = V152392 - 1. assign V742375 = V151051 - 1. assign V755204 = V252878 + 1. assign V087783 = V712446 + 1. assign V945705 = V967932. assign V542021 = V741460 + 1. assign V255292 = V786642. assign V889483 = V478737 + 1. assign V750639 = 5. assign V915626 = V087783 - 1. assign V215686 = V700264 - 1. assign V156315 = V028762 + 1. assign V310993 = V838469 - 1. assign V453924 = V252878 - 1. assign V147328 = V650302 - 1. assign V841582 = V278945 - 1. assign V967932 = V851950. assign V247959 = V156315 + 1. assign V309193 = V851950. assign V044934 = V791734 - 1. assign V497211 = V015441. assign V015693 = V923750 - 1. assign V525358 = V650302 + 1. assign V273000 = V612827 - 1. assign V612827 = V127800 - 1. assign V128008 = V121014 + 1. assign V287000 = V677339 - 1. assign V604524 = V921907. assign V500590 = V310993. assign V809351 = V358004 + 1. assign V346940 = V586772 + 1. assign V975671 = V509784 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V431197 = V688552. assign V267544 = V453924 + 1. assign V485282 = V725986 + 1. assign V415852 = V000321 + 1. assign V167861 = V700264 + 1. assign V567816 = V755204 - 1. assign V326184 = V156315 + 1. assign V676001 = V936382. assign V018284 = V688552 + 1. assign V844590 = V589426 + 1. assign V000321 = V087783 - 1. assign V586772 = V851950 - 1. assign V278945 = V028762 + 1. assign V858552 = V045894 + 1. assign V315940 = V917948 + 1. assign V152392 = V266329. assign V358487 = V217380. assign V513519 = V239268 + 1. assign V127800 = V586772 - 1. assign V421468 = V278945. assign V921907 = V348013 + 1. assign V717581 = V509784 + 1. assign V385017 = V326184 + 1. assign V928238 = V911965 - 1. assign V838469 = V278945 + 1. assign V677339 = V266329 + 1. assign V151051 = V468109. assign V290270 = V088025. assign V978274 = V786642 - 1. assign V507290 = V151051. assign V241315 = V073283 + 1. assign V927643 = V088025 - 1. assign V851950 = V320095 - 1. assign V488170 = V503317 - 1. assign V028762 = V667049. assign V686700 = V589426 + 1. assign V844491 = V267544. assign V365435 = V303283. assign V741460 = V688552 + 1. assign V826601 = V700264 + 1. assign V514084 = V750639 - 1. assign V923750 = V358487 + 1. assign V266329 = V667049 - 1. assign V700264 = V612318 + 1. assign V303283 = V586772 - 1. assign V207967 = V267544. assign V041188 = V015441. assign V302803 = V205107 - 1. assign V612318 = V418420 + 1. assign V911965 = V612318. assign V154332 = V889483 - 1. assign V857530 = V018284 - 1. assign V162920 = V820671 + 1. assign V725986 = V358487 + 1. assign V320095 = V501145 + 1. assign V155552 = V873696 + 1. assign V882949 = V018284. assign V658654 = V273000. assign V219478 = V162920 + 1. assign V760749 = V245554. assign V730431 = V326184. assign V348013 = V851950 + 1. assign V097779 = V741460 - 1. assign V624460 = V712446 + 1. assign V045894 = V018284 - 1. assign V773871 = V087783 - 1. assign V489183 = V725986 + 1. assign V088025 = V677339. assign V943959 = V290270 - 1. assign V503317 = V589426. assign V022004 = V938657. assign V468109 = V028762 - 1. assign V252965 = V154332 + 1. assign V786642 = V967932 - 1. assign V798506 = V092302 - 1. assign V688552 = V501145 - 1. assign V873696 = V252878. assign V917948 = V431805. assign V280916 = V603473. assign V634034 = V838469 - 1. assign V712446 = V028762 - 1. assign V640900 = V015693 + 1. assign V936382 = V688552 - 1. assign V092302 = V712446 + 1. assign V589426 = V278945 + 1. assign V307598 = V028762 - 1. assign V239268 = V889483. assign V320759 = V730431. assign V745259 = V696273 + 1. assign V082494 = V015441 + 1. assign V576239 = V586772. assign V311737 = V624460 + 1. assign V121014 = V833059 - 1. assign V431805 = V028762 - 1. assign V638794 = V485282 + 1. assign V938657 = V217380. assign V217380 = V741460 + 1. assign V429676 = V455315 - 1. assign V011884 = V833059. assign V650302 = V455315 - 1. assign V745007 = V090266 + 1. assign V729504 = V501145 + 1. assign V713442 = V346940 + 1. assign V820671 = V127800 - 1. assign V833059 = V127800 - 1. assign V085654 = V435021 - 1. assign V838213 = V713442 - 1. assign V087794 = V437443 + 1. assign V357186 = V889483 + 1. assign V880486 = V082494 - 1. assign V603473 = V624460 + 1. assign V703178 = V851950 - 1. assign V450089 = V501145 - 1. assign V437443 = V309193. assign V435021 = V320095 - 1. assign V083390 = V015441 - 1. assign V358004 = V278945 + 1. assign V672474 = V700264 + 1. assign V907987 = V730431 + 1. assign V205107 = V741460 + 1. assign V667049 = V586772. assign V175758 = V241315 - 1. assign V036376 = V121014 - 1. assign V078850 = V018284 + 1. assign V104942 = V127800 + 1. assign V891171 = V028762 + 1. assign V509784 = V485282 + 1. assign V015441 = V468109. assign V871785 = V667049 + 1. assign V418420 = V348013 - 1. assign V791734 = V326184 - 1. assign V252878 = V450089 - 1. assign V090266 = V266329 + 1. assign V245554 = V938657 - 1. assign V696273 = V921907 + 1. assign V455315 = V320095 - 1. assign V478737 = V127800. assign V073283 = V589426 + 1. assign V629531 = V889483 + 1. assign V762991 = V650302 - 1. assign V595503 = V152392 - 1. assign V742375 = V151051 - 1. assign V755204 = V252878 + 1. assign V087783 = V712446 + 1. assign V945705 = V967932. assign V542021 = V741460 + 1. assign V255292 = V786642. assign V889483 = V478737 + 1. assign V750639 = 5. assign V915626 = V087783 - 1. assign V215686 = V700264 - 1. assign V156315 = V028762 + 1. assign V310993 = V838469 - 1. assign V453924 = V252878 - 1. assign V147328 = V650302 - 1. assign V841582 = V278945 - 1. assign V967932 = V851950. assign V247959 = V156315 + 1. assign V309193 = V851950. assign V044934 = V791734 - 1. assign V497211 = V015441. assign V015693 = V923750 - 1. assign V525358 = V650302 + 1. assign V273000 = V612827 - 1. assign V612827 = V127800 - 1. assign V128008 = V121014 + 1. assign V287000 = V677339 - 1. assign V604524 = V921907. assign V500590 = V310993. assign V809351 = V358004 + 1. assign V346940 = V586772 + 1. assign V975671 = V509784 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV750639 = 5;\n\nFrom these direct assignment(s), we have: \nV514084 = V750639 - 1 = 5 - 1 =4;\nNo other variables can be derived from V514084;\nNo other variables can be derived from V750639;\n\nNow we have done all the calculations. Derived variables are:\nV750639 = 5;\nV514084 = 4;\n\nNow we have finished this problem. ANSWER:\nV750639\n", "role": "assistant" } ]

[ "V669627" ]

[ { "content": "<context>\nassign V055487 = V631059 - 1. assign V523588 = V151169. assign V212678 = V141729. assign V794385 = V946487. assign V046451 = V212151. assign V568326 = V838017 - 1. assign V047661 = V212151 + 1. assign V919126 = V047661 + 1. assign V094820 = V540357 - 1. assign V727896 = V946487. assign V211474 = V819943 - 1. assign V213009 = V141729. assign V604909 = V568835 + 1. assign V961781 = V838017. assign V382489 = V043812 - 1. assign V647480 = V854700. assign V525340 = V154495. assign V810244 = V876061 - 1. assign V839290 = V653677 - 1. assign V532320 = V031263 + 1. assign V004146 = V322948 + 1. assign V628336 = V164047 - 1. assign V872399 = V302811. assign V632658 = V659188 + 1. assign V212151 = V322948 - 1. assign V631059 = V762065 + 1. assign V240630 = V289638 + 1. assign V176410 = V574394. assign V311060 = V738605 - 1. assign V051690 = V201173. assign V804517 = V851568. assign V227556 = V336250. assign V879526 = V591121. assign V343897 = V819943 - 1. assign V659188 = V817505. assign V499258 = V173240. assign V574394 = V727896. assign V038045 = V532320. assign V547238 = V876061 + 1. assign V289638 = V702409. assign V512798 = V838191. assign V679994 = V201173 - 1. assign V515937 = V435075 + 1. assign V958582 = V372330. assign V636342 = V854700 + 1. assign V176821 = V817505. assign V220862 = V784126. assign V234259 = V336250 + 1. assign V568835 = V176410. assign V031754 = V485937 + 1. assign V739429 = V795704 - 1. assign V160821 = V838017 - 1. assign V470554 = 7. assign V591121 = V031263 + 1. assign V932010 = V574394 + 1. assign V099249 = V729002. assign V095862 = V212678 + 1. assign V706947 = V322261 + 1. assign V854700 = V738605. assign V738605 = V817505 + 1. assign V537676 = V504128 - 1. assign V206965 = V046174. assign V296180 = V485937 + 1. assign V083026 = V854700. assign V429219 = V173240 + 1. assign V947741 = V305909. assign V170031 = V794385 + 1. assign V784126 = V729002. assign V719475 = V738605 + 1. assign V145123 = V031263 + 1. assign V571468 = V628336 + 1. assign V838017 = V817505 - 1. assign V435075 = V305909. assign V239578 = V141729. assign V173642 = V795704 - 1. assign V485937 = V212678 - 1. assign V851568 = V004146. assign V800580 = V204227 + 1. assign V336250 = V512798 - 1. assign V746145 = V719475 + 1. assign V986176 = V322948 + 1. assign V302811 = V459473 - 1. assign V046174 = V154495. assign V822060 = V173240 - 1. assign V141729 = V946487 - 1. assign V925567 = V305909 + 1. assign V708735 = V499258 + 1. assign V173240 = V004146 - 1. assign V653677 = V435075. assign V123389 = V810244 - 1. assign V164047 = V986176 + 1. assign V702409 = V206965 - 1. assign V838191 = V729002 + 1. assign V268092 = V294929. assign V145685 = V154495 - 1. assign V720193 = V876061. assign V404066 = V046451 - 1. assign V928032 = V123389 + 1. assign V725688 = V382489 + 1. assign V447663 = V747740 + 1. assign V154495 = V004146 + 1. assign V742273 = V513549. assign V797688 = V628336 + 1. assign V729002 = V570466 - 1. assign V817505 = V322948 - 1. assign V317956 = V135005. assign V957717 = V919126 + 1. assign V362283 = V541147. assign V682832 = V212151 + 1. assign V201173 = V653677 + 1. assign V528227 = V795704. assign V312477 = V154495. assign V826011 = V854700 + 1. assign V785552 = V571468. assign V146390 = V145685 + 1. assign V459473 = V512798 + 1. assign V848030 = V568835 - 1. assign V372330 = V212151 - 1. assign V795704 = V986176. assign V540357 = V541147 - 1. assign V933734 = V429219 - 1. assign V176683 = V632991. assign V237336 = V212678. assign V747740 = V804517 - 1. assign V669627 = V470554 + 1. assign V513549 = V305909. assign V570466 = V173240 - 1. assign V906829 = V879526 - 1. assign V946487 = V322948 - 1. assign V247366 = V151169. assign V950074 = V513549 - 1. assign V800513 = V481349. assign V890164 = V016581 - 1. assign V294929 = V481349. assign V322261 = V659188. assign V293760 = V851568 + 1. assign V070417 = V727896. assign V541147 = V141729 + 1. assign V087191 = V958582 + 1. assign V004450 = V459473 - 1. assign V819943 = V570466 + 1. assign V854768 = V591121. assign V504128 = V738605 + 1. assign V062059 = V719475 + 1. assign V135005 = V838191 + 1. assign V632991 = V515937 - 1. assign V674584 = V004146 - 1. assign V762065 = V212678 + 1. assign V574991 = V176683 + 1. assign V481349 = V854700 + 1. assign V204227 = V876061 + 1. assign V534407 = V986176. assign V534373 = V173240 + 1. assign V935923 = V206965 + 1. assign V833694 = V839290. assign V305909 = V004146 - 1. assign V847386 = V591121 + 1. assign V212692 = V958582 + 1. assign V967859 = V176410. assign V043812 = V958582. assign V480063 = V336250. assign V151169 = V851568. assign V082086 = V070417 - 1. assign V726050 = V682832 + 1. assign V401920 = V986176. assign V265764 = V523588. assign V481065 = V653677 + 1. assign V876061 = V322948. assign V672642 = V239578. assign V031263 = V145685. assign V016581 = V810244 - 1. assign V388441 = V160821 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V055487 = V631059 - 1. assign V523588 = V151169. assign V212678 = V141729. assign V794385 = V946487. assign V046451 = V212151. assign V568326 = V838017 - 1. assign V047661 = V212151 + 1. assign V919126 = V047661 + 1. assign V094820 = V540357 - 1. assign V727896 = V946487. assign V211474 = V819943 - 1. assign V213009 = V141729. assign V604909 = V568835 + 1. assign V961781 = V838017. assign V382489 = V043812 - 1. assign V647480 = V854700. assign V525340 = V154495. assign V810244 = V876061 - 1. assign V839290 = V653677 - 1. assign V532320 = V031263 + 1. assign V004146 = V322948 + 1. assign V628336 = V164047 - 1. assign V872399 = V302811. assign V632658 = V659188 + 1. assign V212151 = V322948 - 1. assign V631059 = V762065 + 1. assign V240630 = V289638 + 1. assign V176410 = V574394. assign V311060 = V738605 - 1. assign V051690 = V201173. assign V804517 = V851568. assign V227556 = V336250. assign V879526 = V591121. assign V343897 = V819943 - 1. assign V659188 = V817505. assign V499258 = V173240. assign V574394 = V727896. assign V038045 = V532320. assign V547238 = V876061 + 1. assign V289638 = V702409. assign V512798 = V838191. assign V679994 = V201173 - 1. assign V515937 = V435075 + 1. assign V958582 = V372330. assign V636342 = V854700 + 1. assign V176821 = V817505. assign V220862 = V784126. assign V234259 = V336250 + 1. assign V568835 = V176410. assign V031754 = V485937 + 1. assign V739429 = V795704 - 1. assign V160821 = V838017 - 1. assign V470554 = 7. assign V591121 = V031263 + 1. assign V932010 = V574394 + 1. assign V099249 = V729002. assign V095862 = V212678 + 1. assign V706947 = V322261 + 1. assign V854700 = V738605. assign V738605 = V817505 + 1. assign V537676 = V504128 - 1. assign V206965 = V046174. assign V296180 = V485937 + 1. assign V083026 = V854700. assign V429219 = V173240 + 1. assign V947741 = V305909. assign V170031 = V794385 + 1. assign V784126 = V729002. assign V719475 = V738605 + 1. assign V145123 = V031263 + 1. assign V571468 = V628336 + 1. assign V838017 = V817505 - 1. assign V435075 = V305909. assign V239578 = V141729. assign V173642 = V795704 - 1. assign V485937 = V212678 - 1. assign V851568 = V004146. assign V800580 = V204227 + 1. assign V336250 = V512798 - 1. assign V746145 = V719475 + 1. assign V986176 = V322948 + 1. assign V302811 = V459473 - 1. assign V046174 = V154495. assign V822060 = V173240 - 1. assign V141729 = V946487 - 1. assign V925567 = V305909 + 1. assign V708735 = V499258 + 1. assign V173240 = V004146 - 1. assign V653677 = V435075. assign V123389 = V810244 - 1. assign V164047 = V986176 + 1. assign V702409 = V206965 - 1. assign V838191 = V729002 + 1. assign V268092 = V294929. assign V145685 = V154495 - 1. assign V720193 = V876061. assign V404066 = V046451 - 1. assign V928032 = V123389 + 1. assign V725688 = V382489 + 1. assign V447663 = V747740 + 1. assign V154495 = V004146 + 1. assign V742273 = V513549. assign V797688 = V628336 + 1. assign V729002 = V570466 - 1. assign V817505 = V322948 - 1. assign V317956 = V135005. assign V957717 = V919126 + 1. assign V362283 = V541147. assign V682832 = V212151 + 1. assign V201173 = V653677 + 1. assign V528227 = V795704. assign V312477 = V154495. assign V826011 = V854700 + 1. assign V785552 = V571468. assign V146390 = V145685 + 1. assign V459473 = V512798 + 1. assign V848030 = V568835 - 1. assign V372330 = V212151 - 1. assign V795704 = V986176. assign V540357 = V541147 - 1. assign V933734 = V429219 - 1. assign V176683 = V632991. assign V237336 = V212678. assign V747740 = V804517 - 1. assign V669627 = V470554 + 1. assign V513549 = V305909. assign V570466 = V173240 - 1. assign V906829 = V879526 - 1. assign V946487 = V322948 - 1. assign V247366 = V151169. assign V950074 = V513549 - 1. assign V800513 = V481349. assign V890164 = V016581 - 1. assign V294929 = V481349. assign V322261 = V659188. assign V293760 = V851568 + 1. assign V070417 = V727896. assign V541147 = V141729 + 1. assign V087191 = V958582 + 1. assign V004450 = V459473 - 1. assign V819943 = V570466 + 1. assign V854768 = V591121. assign V504128 = V738605 + 1. assign V062059 = V719475 + 1. assign V135005 = V838191 + 1. assign V632991 = V515937 - 1. assign V674584 = V004146 - 1. assign V762065 = V212678 + 1. assign V574991 = V176683 + 1. assign V481349 = V854700 + 1. assign V204227 = V876061 + 1. assign V534407 = V986176. assign V534373 = V173240 + 1. assign V935923 = V206965 + 1. assign V833694 = V839290. assign V305909 = V004146 - 1. assign V847386 = V591121 + 1. assign V212692 = V958582 + 1. assign V967859 = V176410. assign V043812 = V958582. assign V480063 = V336250. assign V151169 = V851568. assign V082086 = V070417 - 1. assign V726050 = V682832 + 1. assign V401920 = V986176. assign V265764 = V523588. assign V481065 = V653677 + 1. assign V876061 = V322948. assign V672642 = V239578. assign V031263 = V145685. assign V016581 = V810244 - 1. assign V388441 = V160821 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV470554 = 7;\n\nFrom these direct assignment(s), we have: \nV669627 = V470554 + 1 = 7 + 1 =8;\nNo other variables can be derived from V669627;\nNo other variables can be derived from V470554;\n\nNow we have done all the calculations. Derived variables are:\nV470554 = 7;\nV669627 = 8;\n\nNow we have finished this problem. ANSWER:\nV669627\n", "role": "assistant" } ]

[ "V476437", "V035216" ]

[ { "content": "<context>\nassign V873916 = V067058. assign V451346 = V017672 + 1. assign V606206 = V017672 - 1. assign V903229 = V660584 - 1. assign V566428 = V464096 - 1. assign V803218 = V635212 + 1. assign V462351 = V906661 + 1. assign V305927 = V301077 - 1. assign V126777 = V854016 + 1. assign V001196 = V430161 + 1. assign V428803 = V409934. assign V134276 = V991578 - 1. assign V631970 = V464096 + 1. assign V049650 = V246880 - 1. assign V076104 = V430161 + 1. assign V017672 = V712855 - 1. assign V178741 = V618443 + 1. assign V341840 = V132432 - 1. assign V234532 = V790257 - 1. assign V876513 = V266213 + 1. assign V592015 = V464096 + 1. assign V115631 = V106142 + 1. assign V560435 = V903229 - 1. assign V986221 = V577624. assign V050571 = V678846 - 1. assign V710010 = V363717 - 1. assign V957144 = V660584 - 1. assign V098018 = V430161. assign V934061 = V991578 - 1. assign V476437 = 7. assign V337317 = V831612 - 1. assign V760727 = V527035 + 1. assign V611396 = V376730. assign V352026 = V581697. assign V313191 = V266987 + 1. assign V363263 = V211841 + 1. assign V688481 = V518921. assign V026178 = V331747. assign V590387 = V958591 - 1. assign V042360 = V666330. assign V533323 = V181781. assign V927694 = V430161 - 1. assign V930518 = V321597. assign V666330 = V321597. assign V371144 = V592015. assign V782402 = V331747. assign V378229 = V462351. assign V577624 = V618443 + 1. assign V871343 = V451768 + 1. assign V590473 = V098018. assign V132432 = V017672. assign V224892 = V873916 + 1. assign V401061 = V948790 - 1. assign V603451 = V642430 + 1. assign V642430 = V678846 + 1. assign V387646 = V782402 - 1. assign V415929 = V017672 - 1. assign V328030 = V436392 + 1. assign V693900 = V927694 + 1. assign V376730 = V474631 - 1. assign V363717 = V815011 - 1. assign V846409 = V927694 + 1. assign V122205 = V577624. assign V283119 = V474631 + 1. assign V174737 = V464096 + 1. assign V246880 = V436392 + 1. assign V581697 = V518921. assign V297731 = V132432 + 1. assign V975738 = V033503. assign V033503 = V378229 + 1. assign V391069 = V067058. assign V181865 = V462351 - 1. assign V579866 = V940711 - 1. assign V515754 = V017672. assign V614196 = V242998 + 1. assign V436899 = V391069 - 1. assign V436392 = V927694 + 1. assign V464096 = V321597. assign V045152 = V712855. assign V181781 = V927694. assign V585652 = V678846. assign V906661 = V927694 - 1. assign V991578 = V012435 + 1. assign V301077 = V603451. assign V299184 = V283119. assign V606184 = V299184 - 1. assign V693241 = V515754. assign V842630 = V693241 + 1. assign V870936 = V266213. assign V835270 = V242998 - 1. assign V716687 = V618443 + 1. assign V940711 = V566428. assign V864488 = V378229 + 1. assign V021607 = V158937 - 1. assign V268032 = V430161 - 1. assign V545027 = V049650 + 1. assign V377587 = V425350 - 1. assign V802130 = V049650. assign V380290 = V021607 - 1. assign V063229 = V256285 + 1. assign V555195 = V049650 - 1. assign V127331 = V631970 + 1. assign V425350 = V297731 + 1. assign V891498 = V660584 - 1. assign V518921 = V017672 - 1. assign V106142 = V906661 + 1. assign V976052 = V515754. assign V269127 = V462351. assign V158937 = V067058. assign V635212 = V076104 + 1. assign V067058 = V246880. assign V911473 = V635212 - 1. assign V754864 = V831612 + 1. assign V180253 = V132432 + 1. assign V108737 = V846409 + 1. assign V854016 = V211841 - 1. assign V201863 = V425350 + 1. assign V950299 = V026178 + 1. assign V372186 = V371144. assign V618443 = V246880. assign V321597 = V906661 + 1. assign V826926 = V611396. assign V274538 = V911473. assign V381239 = V321597. assign V678846 = V067058 + 1. assign V914121 = V110403 + 1. assign V187957 = V820754. assign V712855 = V246880 + 1. assign V451768 = V067058 - 1. assign V660584 = V331747 - 1. assign V242998 = V026178 + 1. assign V160554 = V430161 + 1. assign V831612 = V474631. assign V012435 = V211841 + 1. assign V787977 = V380290 - 1. assign V266987 = V098018. assign V707617 = V815011 + 1. assign V851748 = V618443. assign V958591 = V660584. assign V527035 = V234532. assign V409934 = V313191 + 1. assign V331747 = V436392. assign V359419 = V754864 - 1. assign V110403 = V451768. assign V945250 = V927694 - 1. assign V026416 = V991578. assign V820754 = V790257 - 1. assign V399906 = V242998 - 1. assign V815011 = V891498. assign V256285 = V462351 + 1. assign V047742 = V132432 - 1. assign V211841 = V693900 - 1. assign V121099 = V436392 + 1. assign V554814 = V049650. assign V790257 = V430161 + 1. assign V397989 = V359419. assign V860606 = V297731 + 1. assign V777228 = V693900 + 1. assign V892893 = V331747 - 1. assign V862702 = V211841. assign V266213 = V585652. assign V035216 = V476437. assign V474631 = V436392 - 1. assign V679480 = V914121 - 1. assign V759860 = V927694 - 1. assign V791830 = V372186 + 1. assign V295977 = V211841 - 1. assign V661076 = V297731 - 1. assign V996878 = V754864 + 1. assign V153077 = V341840. assign V948790 = V693900 + 1. assign V164708 = V914121.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V873916 = V067058. assign V451346 = V017672 + 1. assign V606206 = V017672 - 1. assign V903229 = V660584 - 1. assign V566428 = V464096 - 1. assign V803218 = V635212 + 1. assign V462351 = V906661 + 1. assign V305927 = V301077 - 1. assign V126777 = V854016 + 1. assign V001196 = V430161 + 1. assign V428803 = V409934. assign V134276 = V991578 - 1. assign V631970 = V464096 + 1. assign V049650 = V246880 - 1. assign V076104 = V430161 + 1. assign V017672 = V712855 - 1. assign V178741 = V618443 + 1. assign V341840 = V132432 - 1. assign V234532 = V790257 - 1. assign V876513 = V266213 + 1. assign V592015 = V464096 + 1. assign V115631 = V106142 + 1. assign V560435 = V903229 - 1. assign V986221 = V577624. assign V050571 = V678846 - 1. assign V710010 = V363717 - 1. assign V957144 = V660584 - 1. assign V098018 = V430161. assign V934061 = V991578 - 1. assign V476437 = 7. assign V337317 = V831612 - 1. assign V760727 = V527035 + 1. assign V611396 = V376730. assign V352026 = V581697. assign V313191 = V266987 + 1. assign V363263 = V211841 + 1. assign V688481 = V518921. assign V026178 = V331747. assign V590387 = V958591 - 1. assign V042360 = V666330. assign V533323 = V181781. assign V927694 = V430161 - 1. assign V930518 = V321597. assign V666330 = V321597. assign V371144 = V592015. assign V782402 = V331747. assign V378229 = V462351. assign V577624 = V618443 + 1. assign V871343 = V451768 + 1. assign V590473 = V098018. assign V132432 = V017672. assign V224892 = V873916 + 1. assign V401061 = V948790 - 1. assign V603451 = V642430 + 1. assign V642430 = V678846 + 1. assign V387646 = V782402 - 1. assign V415929 = V017672 - 1. assign V328030 = V436392 + 1. assign V693900 = V927694 + 1. assign V376730 = V474631 - 1. assign V363717 = V815011 - 1. assign V846409 = V927694 + 1. assign V122205 = V577624. assign V283119 = V474631 + 1. assign V174737 = V464096 + 1. assign V246880 = V436392 + 1. assign V581697 = V518921. assign V297731 = V132432 + 1. assign V975738 = V033503. assign V033503 = V378229 + 1. assign V391069 = V067058. assign V181865 = V462351 - 1. assign V579866 = V940711 - 1. assign V515754 = V017672. assign V614196 = V242998 + 1. assign V436899 = V391069 - 1. assign V436392 = V927694 + 1. assign V464096 = V321597. assign V045152 = V712855. assign V181781 = V927694. assign V585652 = V678846. assign V906661 = V927694 - 1. assign V991578 = V012435 + 1. assign V301077 = V603451. assign V299184 = V283119. assign V606184 = V299184 - 1. assign V693241 = V515754. assign V842630 = V693241 + 1. assign V870936 = V266213. assign V835270 = V242998 - 1. assign V716687 = V618443 + 1. assign V940711 = V566428. assign V864488 = V378229 + 1. assign V021607 = V158937 - 1. assign V268032 = V430161 - 1. assign V545027 = V049650 + 1. assign V377587 = V425350 - 1. assign V802130 = V049650. assign V380290 = V021607 - 1. assign V063229 = V256285 + 1. assign V555195 = V049650 - 1. assign V127331 = V631970 + 1. assign V425350 = V297731 + 1. assign V891498 = V660584 - 1. assign V518921 = V017672 - 1. assign V106142 = V906661 + 1. assign V976052 = V515754. assign V269127 = V462351. assign V158937 = V067058. assign V635212 = V076104 + 1. assign V067058 = V246880. assign V911473 = V635212 - 1. assign V754864 = V831612 + 1. assign V180253 = V132432 + 1. assign V108737 = V846409 + 1. assign V854016 = V211841 - 1. assign V201863 = V425350 + 1. assign V950299 = V026178 + 1. assign V372186 = V371144. assign V618443 = V246880. assign V321597 = V906661 + 1. assign V826926 = V611396. assign V274538 = V911473. assign V381239 = V321597. assign V678846 = V067058 + 1. assign V914121 = V110403 + 1. assign V187957 = V820754. assign V712855 = V246880 + 1. assign V451768 = V067058 - 1. assign V660584 = V331747 - 1. assign V242998 = V026178 + 1. assign V160554 = V430161 + 1. assign V831612 = V474631. assign V012435 = V211841 + 1. assign V787977 = V380290 - 1. assign V266987 = V098018. assign V707617 = V815011 + 1. assign V851748 = V618443. assign V958591 = V660584. assign V527035 = V234532. assign V409934 = V313191 + 1. assign V331747 = V436392. assign V359419 = V754864 - 1. assign V110403 = V451768. assign V945250 = V927694 - 1. assign V026416 = V991578. assign V820754 = V790257 - 1. assign V399906 = V242998 - 1. assign V815011 = V891498. assign V256285 = V462351 + 1. assign V047742 = V132432 - 1. assign V211841 = V693900 - 1. assign V121099 = V436392 + 1. assign V554814 = V049650. assign V790257 = V430161 + 1. assign V397989 = V359419. assign V860606 = V297731 + 1. assign V777228 = V693900 + 1. assign V892893 = V331747 - 1. assign V862702 = V211841. assign V266213 = V585652. assign V035216 = V476437. assign V474631 = V436392 - 1. assign V679480 = V914121 - 1. assign V759860 = V927694 - 1. assign V791830 = V372186 + 1. assign V295977 = V211841 - 1. assign V661076 = V297731 - 1. assign V996878 = V754864 + 1. assign V153077 = V341840. assign V948790 = V693900 + 1. assign V164708 = V914121.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV476437 = 7;\n\nFrom these direct assignment(s), we have: \nV035216 = V476437 = 7;\nNo other variables can be derived from V035216;\nNo other variables can be derived from V476437;\n\nNow we have done all the calculations. Derived variables are:\nV476437 = 7;\nV035216 = 7;\n\nNow we have finished this problem. ANSWER:\nV476437, V035216\n", "role": "assistant" } ]

[ "V366055" ]

[ { "content": "<context>\nassign V284260 = V345322 - 1. assign V211013 = V511313. assign V781842 = V497376. assign V534691 = V306302. assign V653641 = V675787 - 1. assign V584381 = V998711. assign V990631 = V025300 + 1. assign V984932 = V675787 + 1. assign V623399 = V345318 + 1. assign V239736 = V757352 - 1. assign V473144 = V561246 - 1. assign V052637 = V007119 - 1. assign V194536 = V366055 + 1. assign V306302 = V611421 + 1. assign V643399 = V675787 + 1. assign V674614 = V849983 - 1. assign V521049 = V035971. assign V511313 = V829114 - 1. assign V403242 = V578849 - 1. assign V023942 = V310189 - 1. assign V614877 = V179815 - 1. assign V335808 = V199075 + 1. assign V542570 = V972210 + 1. assign V308108 = V473144. assign V454940 = V723365 + 1. assign V749770 = V166081 - 1. assign V023062 = V098999 + 1. assign V223973 = V115753. assign V778556 = V278415. assign V165296 = V934908 + 1. assign V035971 = V152454. assign V337868 = V640097. assign V912441 = V998711. assign V153914 = V990631. assign V059159 = V052622 + 1. assign V383622 = V849983 + 1. assign V994567 = V578849. assign V618416 = V792525 + 1. assign V625033 = V674614. assign V366055 = 7. assign V683463 = V174341 + 1. assign V893564 = V779675. assign V386934 = V482722 - 1. assign V611421 = V482722 + 1. assign V254847 = V778556 + 1. assign V533238 = V925977 - 1. assign V891777 = V888673. assign V071579 = V561246 + 1. assign V345318 = V025300 - 1. assign V242565 = V007119 - 1. assign V783919 = V055071 - 1. assign V055071 = V071579. assign V271593 = V020618. assign V166081 = V153914 - 1. assign V482722 = V278415. assign V780226 = V497376 - 1. assign V179815 = V972210 - 1. assign V399514 = V175506 + 1. assign V647881 = V310189. assign V494232 = V814567. assign V925977 = V488512 - 1. assign V814567 = V425577. assign V138093 = V254847. assign V675787 = V482722 - 1. assign V936394 = V723365 - 1. assign V813245 = V778556 - 1. assign V792525 = V934908 + 1. assign V211803 = V165296 + 1. assign V497376 = V611421 - 1. assign V639337 = V829114 + 1. assign V514659 = V945835 + 1. assign V212758 = V912441 + 1. assign V701226 = V055071. assign V973078 = V446169 + 1. assign V128476 = V473144 + 1. assign V833935 = V625033. assign V485660 = V337868. assign V778120 = V934908 + 1. assign V210242 = V849983. assign V042955 = V888673 - 1. assign V052622 = V071579. assign V723365 = V802534 + 1. assign V998711 = V884316. assign V175506 = V165296 - 1. assign V924774 = V778120. assign V644260 = V728390 + 1. assign V612587 = V152454. assign V976264 = V749770 - 1. assign V308716 = V165296 + 1. assign V945835 = V242565 - 1. assign V955730 = V488512. assign V623927 = V972210 + 1. assign V811081 = V128476 - 1. assign V747382 = V165296 + 1. assign V020618 = V254847 - 1. assign V896047 = V578849 - 1. assign V142953 = V166062. assign V012911 = V482722 + 1. assign V199075 = V993521 - 1. assign V655985 = V976264 + 1. assign V488512 = V641599. assign V526688 = V308108 + 1. assign V581689 = V640097. assign V453060 = V242671 - 1. assign V407966 = V611421 - 1. assign V194917 = V254847 + 1. assign V897535 = V526688 + 1. assign V682727 = V194917 - 1. assign V006528 = V175506. assign V561246 = V888673 + 1. assign V849983 = V728390 + 1. assign V345322 = V849983 - 1. assign V851946 = V993521. assign V809095 = V538746 + 1. assign V174341 = V813245 - 1. assign V281522 = V115753 - 1. assign V806460 = V438799. assign V934908 = V581689 + 1. assign V552856 = V578849. assign V641599 = V035971 + 1. assign V336011 = V896047. assign V331087 = V025300 + 1. assign V438799 = V476360 + 1. assign V640097 = V779675 - 1. assign V972210 = V813245 + 1. assign V884316 = V611421. assign V802534 = V888673 - 1. assign V007119 = V912441 - 1. assign V115753 = V383622. assign V450741 = V331087. assign V993111 = V779675 + 1. assign V166062 = V640097 - 1. assign V425577 = V779675 + 1. assign V578849 = V990631. assign V454457 = V166081 + 1. assign V840732 = V308716 + 1. assign V390114 = V482722 + 1. assign V924878 = V308716 + 1. assign V059880 = V653641 + 1. assign V538746 = V254847 + 1. assign V535979 = V542570. assign V035632 = V780226 + 1. assign V247788 = V994567 + 1. assign V302596 = V912441 - 1. assign V515442 = V335808 + 1. assign V757352 = V035971 - 1. assign V879450 = V514659 + 1. assign V779675 = V884316. assign V025300 = V884316 + 1. assign V152454 = V025300. assign V826711 = V402860 + 1. assign V888673 = V278415. assign V350010 = V450741 - 1. assign V198066 = V976264 - 1. assign V098999 = V059880 + 1. assign V476360 = V614877. assign V402860 = V407966 - 1. assign V643288 = V310189. assign V049965 = V891777. assign V446169 = V998711 - 1. assign V058228 = V345318 + 1. assign V310189 = V450741. assign V208502 = V052637. assign V728390 = V998711 - 1. assign V993521 = V611421 + 1. assign V960396 = V643399 - 1. assign V258611 = V306302 + 1. assign V829114 = V194917. assign V777603 = V912441 - 1. assign V134901 = V306302 - 1. assign V242671 = V840732 - 1. assign V981615 = V884316 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V284260 = V345322 - 1. assign V211013 = V511313. assign V781842 = V497376. assign V534691 = V306302. assign V653641 = V675787 - 1. assign V584381 = V998711. assign V990631 = V025300 + 1. assign V984932 = V675787 + 1. assign V623399 = V345318 + 1. assign V239736 = V757352 - 1. assign V473144 = V561246 - 1. assign V052637 = V007119 - 1. assign V194536 = V366055 + 1. assign V306302 = V611421 + 1. assign V643399 = V675787 + 1. assign V674614 = V849983 - 1. assign V521049 = V035971. assign V511313 = V829114 - 1. assign V403242 = V578849 - 1. assign V023942 = V310189 - 1. assign V614877 = V179815 - 1. assign V335808 = V199075 + 1. assign V542570 = V972210 + 1. assign V308108 = V473144. assign V454940 = V723365 + 1. assign V749770 = V166081 - 1. assign V023062 = V098999 + 1. assign V223973 = V115753. assign V778556 = V278415. assign V165296 = V934908 + 1. assign V035971 = V152454. assign V337868 = V640097. assign V912441 = V998711. assign V153914 = V990631. assign V059159 = V052622 + 1. assign V383622 = V849983 + 1. assign V994567 = V578849. assign V618416 = V792525 + 1. assign V625033 = V674614. assign V366055 = 7. assign V683463 = V174341 + 1. assign V893564 = V779675. assign V386934 = V482722 - 1. assign V611421 = V482722 + 1. assign V254847 = V778556 + 1. assign V533238 = V925977 - 1. assign V891777 = V888673. assign V071579 = V561246 + 1. assign V345318 = V025300 - 1. assign V242565 = V007119 - 1. assign V783919 = V055071 - 1. assign V055071 = V071579. assign V271593 = V020618. assign V166081 = V153914 - 1. assign V482722 = V278415. assign V780226 = V497376 - 1. assign V179815 = V972210 - 1. assign V399514 = V175506 + 1. assign V647881 = V310189. assign V494232 = V814567. assign V925977 = V488512 - 1. assign V814567 = V425577. assign V138093 = V254847. assign V675787 = V482722 - 1. assign V936394 = V723365 - 1. assign V813245 = V778556 - 1. assign V792525 = V934908 + 1. assign V211803 = V165296 + 1. assign V497376 = V611421 - 1. assign V639337 = V829114 + 1. assign V514659 = V945835 + 1. assign V212758 = V912441 + 1. assign V701226 = V055071. assign V973078 = V446169 + 1. assign V128476 = V473144 + 1. assign V833935 = V625033. assign V485660 = V337868. assign V778120 = V934908 + 1. assign V210242 = V849983. assign V042955 = V888673 - 1. assign V052622 = V071579. assign V723365 = V802534 + 1. assign V998711 = V884316. assign V175506 = V165296 - 1. assign V924774 = V778120. assign V644260 = V728390 + 1. assign V612587 = V152454. assign V976264 = V749770 - 1. assign V308716 = V165296 + 1. assign V945835 = V242565 - 1. assign V955730 = V488512. assign V623927 = V972210 + 1. assign V811081 = V128476 - 1. assign V747382 = V165296 + 1. assign V020618 = V254847 - 1. assign V896047 = V578849 - 1. assign V142953 = V166062. assign V012911 = V482722 + 1. assign V199075 = V993521 - 1. assign V655985 = V976264 + 1. assign V488512 = V641599. assign V526688 = V308108 + 1. assign V581689 = V640097. assign V453060 = V242671 - 1. assign V407966 = V611421 - 1. assign V194917 = V254847 + 1. assign V897535 = V526688 + 1. assign V682727 = V194917 - 1. assign V006528 = V175506. assign V561246 = V888673 + 1. assign V849983 = V728390 + 1. assign V345322 = V849983 - 1. assign V851946 = V993521. assign V809095 = V538746 + 1. assign V174341 = V813245 - 1. assign V281522 = V115753 - 1. assign V806460 = V438799. assign V934908 = V581689 + 1. assign V552856 = V578849. assign V641599 = V035971 + 1. assign V336011 = V896047. assign V331087 = V025300 + 1. assign V438799 = V476360 + 1. assign V640097 = V779675 - 1. assign V972210 = V813245 + 1. assign V884316 = V611421. assign V802534 = V888673 - 1. assign V007119 = V912441 - 1. assign V115753 = V383622. assign V450741 = V331087. assign V993111 = V779675 + 1. assign V166062 = V640097 - 1. assign V425577 = V779675 + 1. assign V578849 = V990631. assign V454457 = V166081 + 1. assign V840732 = V308716 + 1. assign V390114 = V482722 + 1. assign V924878 = V308716 + 1. assign V059880 = V653641 + 1. assign V538746 = V254847 + 1. assign V535979 = V542570. assign V035632 = V780226 + 1. assign V247788 = V994567 + 1. assign V302596 = V912441 - 1. assign V515442 = V335808 + 1. assign V757352 = V035971 - 1. assign V879450 = V514659 + 1. assign V779675 = V884316. assign V025300 = V884316 + 1. assign V152454 = V025300. assign V826711 = V402860 + 1. assign V888673 = V278415. assign V350010 = V450741 - 1. assign V198066 = V976264 - 1. assign V098999 = V059880 + 1. assign V476360 = V614877. assign V402860 = V407966 - 1. assign V643288 = V310189. assign V049965 = V891777. assign V446169 = V998711 - 1. assign V058228 = V345318 + 1. assign V310189 = V450741. assign V208502 = V052637. assign V728390 = V998711 - 1. assign V993521 = V611421 + 1. assign V960396 = V643399 - 1. assign V258611 = V306302 + 1. assign V829114 = V194917. assign V777603 = V912441 - 1. assign V134901 = V306302 - 1. assign V242671 = V840732 - 1. assign V981615 = V884316 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV366055 = 7;\n\nFrom these direct assignment(s), we have: \nV194536 = V366055 + 1 = 7 + 1 =8;\nNo other variables can be derived from V194536;\nNo other variables can be derived from V366055;\n\nNow we have done all the calculations. Derived variables are:\nV366055 = 7;\nV194536 = 8;\n\nNow we have finished this problem. ANSWER:\nV366055\n", "role": "assistant" } ]

[ "V317432" ]

[ { "content": "<context>\nassign V313092 = V109995. assign V177123 = V356510 - 1. assign V953865 = V897526. assign V513493 = V903983. assign V748397 = V262736 + 1. assign V173872 = V037649 + 1. assign V506569 = V088612 - 1. assign V807135 = V269601 - 1. assign V009900 = V088612 - 1. assign V549596 = V750209 + 1. assign V269064 = V793859 - 1. assign V730939 = V537143 + 1. assign V927903 = V111157 + 1. assign V925771 = V430314 + 1. assign V802219 = V072396. assign V569972 = V784692 + 1. assign V104817 = V043178 - 1. assign V492671 = V530701 + 1. assign V082927 = V228861 + 1. assign V982885 = V944831 + 1. assign V257807 = V037649 - 1. assign V109995 = V793859. assign V648445 = V104817 + 1. assign V261585 = V581481. assign V503939 = V119764 - 1. assign V423801 = V106131 + 1. assign V632667 = V503939 - 1. assign V829557 = V488594. assign V820781 = V506569 + 1. assign V157404 = V581481 + 1. assign V011032 = V184224 - 1. assign V445848 = V793859. assign V204118 = V711587 + 1. assign V546667 = V499105 + 1. assign V402561 = V429262. assign V708117 = V119878. assign V608902 = V406367 - 1. assign V037649 = V017115 + 1. assign V406367 = V537143 - 1. assign V977352 = 8. assign V758926 = V269609 + 1. assign V911910 = V129248. assign V560290 = V072396 - 1. assign V742458 = V310820 + 1. assign V921432 = V142430. assign V391597 = V262736 - 1. assign V269609 = V488594 + 1. assign V903983 = V792700. assign V660533 = V902668 - 1. assign V558761 = V262736 - 1. assign V857497 = V142430 + 1. assign V673584 = V921432 - 1. assign V087815 = V823738 - 1. assign V258444 = V119878 - 1. assign V944831 = V017115 - 1. assign V914888 = V784692 - 1. assign V262736 = V884719. assign V902668 = V088612 - 1. assign V447862 = V088612 + 1. assign V254743 = V675754 - 1. assign V119878 = V317819 + 1. assign V758062 = V262736 - 1. assign V067069 = V269609. assign V744658 = V173872 + 1. assign V833103 = V105520 + 1. assign V430314 = V105520. assign V465563 = V748397. assign V693005 = V902668. assign V530701 = V111157 + 1. assign V119893 = V632667 + 1. assign V150561 = V953865. assign V619756 = V310820 + 1. assign V823738 = V106131. assign V758600 = V581481 - 1. assign V041367 = V228861 + 1. assign V895378 = V902668 + 1. assign V919394 = V530701 + 1. assign V271662 = V021763. assign V831129 = V925771 + 1. assign V983983 = V902668 + 1. assign V269601 = V838002. assign V157117 = V546667. assign V980399 = V129248. assign V846622 = V043178 + 1. assign V396543 = V017115 + 1. assign V284518 = V608902. assign V111157 = V106131. assign V492777 = V546667. assign V661551 = V269609 - 1. assign V537143 = V750209 + 1. assign V075672 = V259834 + 1. assign V897526 = V488594 - 1. assign V559558 = V142430. assign V017115 = V506569 - 1. assign V045237 = V546667. assign V965373 = V067069 + 1. assign V339229 = V619756 + 1. assign V021763 = V924477 + 1. assign V499105 = V088612 + 1. assign V224809 = V639666. assign V838002 = V660533. assign V310820 = V106131 + 1. assign V044194 = V447862 - 1. assign V868381 = V506569 - 1. assign V432812 = V406022 + 1. assign V534121 = V748397 + 1. assign V579693 = V269064 + 1. assign V024958 = V829557 - 1. assign V793859 = V119764 + 1. assign V142430 = V902668 - 1. assign V418466 = V432812. assign V573889 = V873143. assign V884719 = V228861 + 1. assign V243890 = V537143 + 1. assign V315056 = V498512 - 1. assign V064484 = V853878 - 1. assign V098866 = V024958. assign V784692 = V088612 - 1. assign V442870 = V853878 + 1. assign V811224 = V105520. assign V194600 = V503939. assign V010551 = V150561 - 1. assign V826626 = V173872 - 1. assign V750209 = V488594 + 1. assign V856263 = V498512 + 1. assign V317819 = V750209 + 1. assign V106131 = V689990. assign V129248 = V549596 - 1. assign V873143 = V742458. assign V431921 = V689990 - 1. assign V113035 = V045237 - 1. assign V259834 = V630767 - 1. assign V924477 = V499105. assign V184224 = V632667 + 1. assign V196935 = V432812. assign V488594 = V689990 + 1. assign V503098 = V784692 - 1. assign V001882 = V927903 + 1. assign V017954 = V072396 - 1. assign V406022 = V088612 - 1. assign V238701 = V173872 + 1. assign V664958 = V921432. assign V991271 = V581481. assign V689990 = V711587 + 1. assign V072396 = V017115 - 1. assign V144564 = V488594 - 1. assign V630767 = V119878 - 1. assign V228861 = V506569. assign V290922 = V406022 + 1. assign V027893 = V820781. assign V124405 = V082927. assign V686699 = V748397. assign V531023 = V447862 - 1. assign V581481 = V546667. assign V105520 = V953865 - 1. assign V256304 = V228861 + 1. assign V876143 = V088612 + 1. assign V043178 = V119764 - 1. assign V429262 = V488594 + 1. assign V317432 = V977352 + 1. assign V884934 = V430314 + 1. assign V711587 = V088612 - 1. assign V356510 = V711587 - 1. assign V792700 = V506569. assign V498512 = V846622 + 1. assign V886790 = V256304. assign V853878 = V829557. assign V426591 = V549596. assign V675754 = V944831 + 1. assign V639666 = V204118 - 1. assign V119764 = V488594 + 1. assign V657374 = V429262.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V313092 = V109995. assign V177123 = V356510 - 1. assign V953865 = V897526. assign V513493 = V903983. assign V748397 = V262736 + 1. assign V173872 = V037649 + 1. assign V506569 = V088612 - 1. assign V807135 = V269601 - 1. assign V009900 = V088612 - 1. assign V549596 = V750209 + 1. assign V269064 = V793859 - 1. assign V730939 = V537143 + 1. assign V927903 = V111157 + 1. assign V925771 = V430314 + 1. assign V802219 = V072396. assign V569972 = V784692 + 1. assign V104817 = V043178 - 1. assign V492671 = V530701 + 1. assign V082927 = V228861 + 1. assign V982885 = V944831 + 1. assign V257807 = V037649 - 1. assign V109995 = V793859. assign V648445 = V104817 + 1. assign V261585 = V581481. assign V503939 = V119764 - 1. assign V423801 = V106131 + 1. assign V632667 = V503939 - 1. assign V829557 = V488594. assign V820781 = V506569 + 1. assign V157404 = V581481 + 1. assign V011032 = V184224 - 1. assign V445848 = V793859. assign V204118 = V711587 + 1. assign V546667 = V499105 + 1. assign V402561 = V429262. assign V708117 = V119878. assign V608902 = V406367 - 1. assign V037649 = V017115 + 1. assign V406367 = V537143 - 1. assign V977352 = 8. assign V758926 = V269609 + 1. assign V911910 = V129248. assign V560290 = V072396 - 1. assign V742458 = V310820 + 1. assign V921432 = V142430. assign V391597 = V262736 - 1. assign V269609 = V488594 + 1. assign V903983 = V792700. assign V660533 = V902668 - 1. assign V558761 = V262736 - 1. assign V857497 = V142430 + 1. assign V673584 = V921432 - 1. assign V087815 = V823738 - 1. assign V258444 = V119878 - 1. assign V944831 = V017115 - 1. assign V914888 = V784692 - 1. assign V262736 = V884719. assign V902668 = V088612 - 1. assign V447862 = V088612 + 1. assign V254743 = V675754 - 1. assign V119878 = V317819 + 1. assign V758062 = V262736 - 1. assign V067069 = V269609. assign V744658 = V173872 + 1. assign V833103 = V105520 + 1. assign V430314 = V105520. assign V465563 = V748397. assign V693005 = V902668. assign V530701 = V111157 + 1. assign V119893 = V632667 + 1. assign V150561 = V953865. assign V619756 = V310820 + 1. assign V823738 = V106131. assign V758600 = V581481 - 1. assign V041367 = V228861 + 1. assign V895378 = V902668 + 1. assign V919394 = V530701 + 1. assign V271662 = V021763. assign V831129 = V925771 + 1. assign V983983 = V902668 + 1. assign V269601 = V838002. assign V157117 = V546667. assign V980399 = V129248. assign V846622 = V043178 + 1. assign V396543 = V017115 + 1. assign V284518 = V608902. assign V111157 = V106131. assign V492777 = V546667. assign V661551 = V269609 - 1. assign V537143 = V750209 + 1. assign V075672 = V259834 + 1. assign V897526 = V488594 - 1. assign V559558 = V142430. assign V017115 = V506569 - 1. assign V045237 = V546667. assign V965373 = V067069 + 1. assign V339229 = V619756 + 1. assign V021763 = V924477 + 1. assign V499105 = V088612 + 1. assign V224809 = V639666. assign V838002 = V660533. assign V310820 = V106131 + 1. assign V044194 = V447862 - 1. assign V868381 = V506569 - 1. assign V432812 = V406022 + 1. assign V534121 = V748397 + 1. assign V579693 = V269064 + 1. assign V024958 = V829557 - 1. assign V793859 = V119764 + 1. assign V142430 = V902668 - 1. assign V418466 = V432812. assign V573889 = V873143. assign V884719 = V228861 + 1. assign V243890 = V537143 + 1. assign V315056 = V498512 - 1. assign V064484 = V853878 - 1. assign V098866 = V024958. assign V784692 = V088612 - 1. assign V442870 = V853878 + 1. assign V811224 = V105520. assign V194600 = V503939. assign V010551 = V150561 - 1. assign V826626 = V173872 - 1. assign V750209 = V488594 + 1. assign V856263 = V498512 + 1. assign V317819 = V750209 + 1. assign V106131 = V689990. assign V129248 = V549596 - 1. assign V873143 = V742458. assign V431921 = V689990 - 1. assign V113035 = V045237 - 1. assign V259834 = V630767 - 1. assign V924477 = V499105. assign V184224 = V632667 + 1. assign V196935 = V432812. assign V488594 = V689990 + 1. assign V503098 = V784692 - 1. assign V001882 = V927903 + 1. assign V017954 = V072396 - 1. assign V406022 = V088612 - 1. assign V238701 = V173872 + 1. assign V664958 = V921432. assign V991271 = V581481. assign V689990 = V711587 + 1. assign V072396 = V017115 - 1. assign V144564 = V488594 - 1. assign V630767 = V119878 - 1. assign V228861 = V506569. assign V290922 = V406022 + 1. assign V027893 = V820781. assign V124405 = V082927. assign V686699 = V748397. assign V531023 = V447862 - 1. assign V581481 = V546667. assign V105520 = V953865 - 1. assign V256304 = V228861 + 1. assign V876143 = V088612 + 1. assign V043178 = V119764 - 1. assign V429262 = V488594 + 1. assign V317432 = V977352 + 1. assign V884934 = V430314 + 1. assign V711587 = V088612 - 1. assign V356510 = V711587 - 1. assign V792700 = V506569. assign V498512 = V846622 + 1. assign V886790 = V256304. assign V853878 = V829557. assign V426591 = V549596. assign V675754 = V944831 + 1. assign V639666 = V204118 - 1. assign V119764 = V488594 + 1. assign V657374 = V429262.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV977352 = 8;\n\nFrom these direct assignment(s), we have: \nV317432 = V977352 + 1 = 8 + 1 =9;\nNo other variables can be derived from V317432;\nNo other variables can be derived from V977352;\n\nNow we have done all the calculations. Derived variables are:\nV977352 = 8;\nV317432 = 9;\n\nNow we have finished this problem. ANSWER:\nV317432\n", "role": "assistant" } ]

[ "V907377" ]

[ { "content": "<context>\nassign V019044 = V735011. assign V363020 = V283734 + 1. assign V689605 = V693606 + 1. assign V116076 = V594499 + 1. assign V283734 = V903146. assign V246242 = V600764 + 1. assign V781886 = V735011 - 1. assign V626119 = V836313. assign V133710 = V730488 - 1. assign V601355 = V833854. assign V144481 = V294184 + 1. assign V612238 = V836313 + 1. assign V854148 = V626119 - 1. assign V443542 = V283734 + 1. assign V000081 = V912829. assign V914206 = V983708. assign V034224 = V735011 - 1. assign V230618 = V680660 + 1. assign V710772 = V781886 - 1. assign V183666 = V109955. assign V860823 = V854813 - 1. assign V551191 = V854813 + 1. assign V983743 = V129452. assign V189256 = V600764. assign V145835 = V725274 + 1. assign V426817 = V451174 - 1. assign V696841 = V260227. assign V243320 = V781886 - 1. assign V525976 = V854148 + 1. assign V792401 = V387200 + 1. assign V673981 = V696312 + 1. assign V514142 = V369753 - 1. assign V194617 = V833854. assign V411671 = V352802 - 1. assign V510563 = V612310 + 1. assign V939429 = V584814. assign V878427 = V626119. assign V678916 = V689605. assign V722208 = V710772. assign V971574 = V584814. assign V085380 = V584814. assign V863547 = V461140 - 1. assign V260227 = V928726 + 1. assign V931382 = V214798. assign V535587 = V145835 + 1. assign V657010 = V116076. assign V577002 = V594499 - 1. assign V435437 = V019044 + 1. assign V613601 = V971574 - 1. assign V757718 = V626119 - 1. assign V617258 = V103302 + 1. assign V700033 = V130130 + 1. assign V584814 = V693606. assign V473477 = V058896. assign V130130 = V802486 - 1. assign V472234 = V854813 - 1. assign V207155 = V369753 + 1. assign V912829 = V548309 - 1. assign V687592 = V854148. assign V588948 = V689605 - 1. assign V635556 = V514142 + 1. assign V923553 = V836313. assign V739565 = V757718. assign V924539 = V679973. assign V105217 = V693606 + 1. assign V598107 = V983708 - 1. assign V187742 = V812125 - 1. assign V702029 = V034224. assign V637217 = V710772. assign V907377 = 5. assign V005738 = V981354 + 1. assign V119002 = V435437 - 1. assign V591642 = V103302 + 1. assign V838902 = V903146. assign V730488 = V103302 - 1. assign V836313 = V103302. assign V214798 = V352802 + 1. assign V558462 = V019044 - 1. assign V433695 = V983708 - 1. assign V679973 = V914206 - 1. assign V294184 = V058896 + 1. assign V613747 = V236746 + 1. assign V153353 = V443542 - 1. assign V148095 = V109955 - 1. assign V823810 = V689605 + 1. assign V869935 = V696312. assign V902654 = V294184 + 1. assign V594499 = V802486 - 1. assign V368409 = V452820 + 1. assign V461140 = V105217 + 1. assign V211099 = V600764 + 1. assign V084117 = V058896 + 1. assign V764873 = V988893 + 1. assign V452820 = V735011 - 1. assign V129162 = V283734. assign V570956 = V689605. assign V357899 = V085380 - 1. assign V058896 = V105217. assign V089066 = V514142 - 1. assign V269523 = V789774 - 1. assign V451174 = V283734 + 1. assign V171067 = V243320. assign V542988 = V689605 - 1. assign V657946 = V285210. assign V352802 = V612310 + 1. assign V583406 = V363020 - 1. assign V983708 = V725274. assign V963228 = V764873 + 1. assign V103302 = V693606 - 1. assign V221738 = V601355. assign V442107 = V626119 - 1. assign V841013 = V187649. assign V109902 = V983708 - 1. assign V285210 = V514142. assign V459622 = V979452 + 1. assign V802486 = V617258. assign V304987 = V100397. assign V109955 = V594499 + 1. assign V857731 = V130130 + 1. assign V189633 = V058896 - 1. assign V136687 = V130130 + 1. assign V725274 = V979452 + 1. assign V854813 = V903146 + 1. assign V154501 = V838902. assign V201686 = V854813 - 1. assign V928726 = V588948 - 1. assign V548309 = V696312. assign V444446 = V812125. assign V166742 = V461140. assign V755159 = V352802. assign V609675 = V472234. assign V765384 = V971574 + 1. assign V665409 = V983708 + 1. assign V638935 = V841013. assign V979452 = V693606 + 1. assign V246982 = V154501 + 1. assign V789774 = V836313 + 1. assign V572077 = V939429. assign V600764 = V103302 - 1. assign V100397 = V084117 - 1. assign V833854 = V678916. assign V920435 = V514142 - 1. assign V571556 = V435437 + 1. assign V004291 = V792401 - 1. assign V988893 = V588948 - 1. assign V870583 = V187649 - 1. assign V812125 = V600764 + 1. assign V592116 = V192898 + 1. assign V381132 = V907377 - 1. assign V651960 = V878427 + 1. assign V424824 = V236746 - 1. assign V187649 = V600764 + 1. assign V236746 = V435437 + 1. assign V981354 = V294184 + 1. assign V369753 = V243320 + 1. assign V612310 = V461140 - 1. assign V903146 = V693606 - 1. assign V267829 = V116076 + 1. assign V696312 = V979452 - 1. assign V083741 = V584814 + 1. assign V217032 = V928726 - 1. assign V400447 = V085380 - 1. assign V747033 = V105217. assign V589160 = V600764 + 1. assign V581219 = V368409 + 1. assign V475474 = V983743 + 1. assign V778713 = V971574. assign V129452 = V689605 + 1. assign V735011 = V105217. assign V192898 = V812125. assign V680660 = V103302. assign V387200 = V612310 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V019044 = V735011. assign V363020 = V283734 + 1. assign V689605 = V693606 + 1. assign V116076 = V594499 + 1. assign V283734 = V903146. assign V246242 = V600764 + 1. assign V781886 = V735011 - 1. assign V626119 = V836313. assign V133710 = V730488 - 1. assign V601355 = V833854. assign V144481 = V294184 + 1. assign V612238 = V836313 + 1. assign V854148 = V626119 - 1. assign V443542 = V283734 + 1. assign V000081 = V912829. assign V914206 = V983708. assign V034224 = V735011 - 1. assign V230618 = V680660 + 1. assign V710772 = V781886 - 1. assign V183666 = V109955. assign V860823 = V854813 - 1. assign V551191 = V854813 + 1. assign V983743 = V129452. assign V189256 = V600764. assign V145835 = V725274 + 1. assign V426817 = V451174 - 1. assign V696841 = V260227. assign V243320 = V781886 - 1. assign V525976 = V854148 + 1. assign V792401 = V387200 + 1. assign V673981 = V696312 + 1. assign V514142 = V369753 - 1. assign V194617 = V833854. assign V411671 = V352802 - 1. assign V510563 = V612310 + 1. assign V939429 = V584814. assign V878427 = V626119. assign V678916 = V689605. assign V722208 = V710772. assign V971574 = V584814. assign V085380 = V584814. assign V863547 = V461140 - 1. assign V260227 = V928726 + 1. assign V931382 = V214798. assign V535587 = V145835 + 1. assign V657010 = V116076. assign V577002 = V594499 - 1. assign V435437 = V019044 + 1. assign V613601 = V971574 - 1. assign V757718 = V626119 - 1. assign V617258 = V103302 + 1. assign V700033 = V130130 + 1. assign V584814 = V693606. assign V473477 = V058896. assign V130130 = V802486 - 1. assign V472234 = V854813 - 1. assign V207155 = V369753 + 1. assign V912829 = V548309 - 1. assign V687592 = V854148. assign V588948 = V689605 - 1. assign V635556 = V514142 + 1. assign V923553 = V836313. assign V739565 = V757718. assign V924539 = V679973. assign V105217 = V693606 + 1. assign V598107 = V983708 - 1. assign V187742 = V812125 - 1. assign V702029 = V034224. assign V637217 = V710772. assign V907377 = 5. assign V005738 = V981354 + 1. assign V119002 = V435437 - 1. assign V591642 = V103302 + 1. assign V838902 = V903146. assign V730488 = V103302 - 1. assign V836313 = V103302. assign V214798 = V352802 + 1. assign V558462 = V019044 - 1. assign V433695 = V983708 - 1. assign V679973 = V914206 - 1. assign V294184 = V058896 + 1. assign V613747 = V236746 + 1. assign V153353 = V443542 - 1. assign V148095 = V109955 - 1. assign V823810 = V689605 + 1. assign V869935 = V696312. assign V902654 = V294184 + 1. assign V594499 = V802486 - 1. assign V368409 = V452820 + 1. assign V461140 = V105217 + 1. assign V211099 = V600764 + 1. assign V084117 = V058896 + 1. assign V764873 = V988893 + 1. assign V452820 = V735011 - 1. assign V129162 = V283734. assign V570956 = V689605. assign V357899 = V085380 - 1. assign V058896 = V105217. assign V089066 = V514142 - 1. assign V269523 = V789774 - 1. assign V451174 = V283734 + 1. assign V171067 = V243320. assign V542988 = V689605 - 1. assign V657946 = V285210. assign V352802 = V612310 + 1. assign V583406 = V363020 - 1. assign V983708 = V725274. assign V963228 = V764873 + 1. assign V103302 = V693606 - 1. assign V221738 = V601355. assign V442107 = V626119 - 1. assign V841013 = V187649. assign V109902 = V983708 - 1. assign V285210 = V514142. assign V459622 = V979452 + 1. assign V802486 = V617258. assign V304987 = V100397. assign V109955 = V594499 + 1. assign V857731 = V130130 + 1. assign V189633 = V058896 - 1. assign V136687 = V130130 + 1. assign V725274 = V979452 + 1. assign V854813 = V903146 + 1. assign V154501 = V838902. assign V201686 = V854813 - 1. assign V928726 = V588948 - 1. assign V548309 = V696312. assign V444446 = V812125. assign V166742 = V461140. assign V755159 = V352802. assign V609675 = V472234. assign V765384 = V971574 + 1. assign V665409 = V983708 + 1. assign V638935 = V841013. assign V979452 = V693606 + 1. assign V246982 = V154501 + 1. assign V789774 = V836313 + 1. assign V572077 = V939429. assign V600764 = V103302 - 1. assign V100397 = V084117 - 1. assign V833854 = V678916. assign V920435 = V514142 - 1. assign V571556 = V435437 + 1. assign V004291 = V792401 - 1. assign V988893 = V588948 - 1. assign V870583 = V187649 - 1. assign V812125 = V600764 + 1. assign V592116 = V192898 + 1. assign V381132 = V907377 - 1. assign V651960 = V878427 + 1. assign V424824 = V236746 - 1. assign V187649 = V600764 + 1. assign V236746 = V435437 + 1. assign V981354 = V294184 + 1. assign V369753 = V243320 + 1. assign V612310 = V461140 - 1. assign V903146 = V693606 - 1. assign V267829 = V116076 + 1. assign V696312 = V979452 - 1. assign V083741 = V584814 + 1. assign V217032 = V928726 - 1. assign V400447 = V085380 - 1. assign V747033 = V105217. assign V589160 = V600764 + 1. assign V581219 = V368409 + 1. assign V475474 = V983743 + 1. assign V778713 = V971574. assign V129452 = V689605 + 1. assign V735011 = V105217. assign V192898 = V812125. assign V680660 = V103302. assign V387200 = V612310 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV907377 = 5;\n\nFrom these direct assignment(s), we have: \nV381132 = V907377 - 1 = 5 - 1 =4;\nNo other variables can be derived from V381132;\nNo other variables can be derived from V907377;\n\nNow we have done all the calculations. Derived variables are:\nV907377 = 5;\nV381132 = 4;\n\nNow we have finished this problem. ANSWER:\nV907377\n", "role": "assistant" } ]

[ "V589411", "V993545" ]

[ { "content": "<context>\nassign V760716 = V205875 + 1. assign V604637 = V869745 - 1. assign V150297 = V856148 + 1. assign V171027 = V325463 + 1. assign V154117 = V150297 + 1. assign V474416 = V709817 - 1. assign V674377 = V856148 + 1. assign V751364 = V999066 + 1. assign V200742 = V868193 - 1. assign V342858 = V638416. assign V607944 = V351332. assign V289562 = V446010 + 1. assign V856148 = V631607. assign V353602 = V496579 + 1. assign V131093 = V496579. assign V105682 = V171027 + 1. assign V521784 = V899353 - 1. assign V815825 = V998110 - 1. assign V746774 = V139949 + 1. assign V780187 = V794444 - 1. assign V445344 = V869745 - 1. assign V568817 = V353602 + 1. assign V015997 = V540497 + 1. assign V415858 = V856148 + 1. assign V526069 = V139949 - 1. assign V133523 = V819622 + 1. assign V956684 = V150297 + 1. assign V213776 = V998110 + 1. assign V470779 = V869745. assign V459676 = V064663 + 1. assign V180030 = V306214 + 1. assign V567687 = V533763. assign V991961 = V480469 - 1. assign V754192 = V631607. assign V139949 = V856148. assign V535110 = V760716 - 1. assign V533763 = V856148. assign V589411 = 3. assign V496579 = V746774. assign V450909 = V780187 - 1. assign V970592 = V283995. assign V786602 = V567687 + 1. assign V302626 = V217300. assign V325463 = V243779 - 1. assign V313385 = V858664 + 1. assign V667809 = V947423 + 1. assign V385014 = V760716 + 1. assign V822155 = V229699. assign V772830 = V362371 + 1. assign V089911 = V229699. assign V822237 = V783508 - 1. assign V135850 = V869745. assign V705538 = V150297. assign V834529 = V605298 + 1. assign V819622 = V781221 - 1. assign V575035 = V511300 + 1. assign V726729 = V656729 - 1. assign V043750 = V947423 - 1. assign V812219 = V115089 + 1. assign V217300 = V822237. assign V563864 = V249472 + 1. assign V225416 = V180030 - 1. assign V532331 = V533763. assign V993545 = V589411. assign V888779 = V535110. assign V351332 = V991961. assign V809020 = V283995 + 1. assign V770542 = V964533. assign V091490 = V145039. assign V115089 = V999066. assign V220561 = V667809. assign V458246 = V533763 - 1. assign V758301 = V217300. assign V446010 = V856148 - 1. assign V937794 = V526069. assign V998110 = V533589. assign V704736 = V858664 + 1. assign V899353 = V300099 + 1. assign V999066 = V743038 + 1. assign V656729 = V446010. assign V298546 = V858664 - 1. assign V601199 = V480469. assign V696933 = V325463. assign V975290 = V322450 + 1. assign V311880 = V526069. assign V249472 = V746774. assign V846112 = V968666 + 1. assign V182748 = V612751 + 1. assign V661062 = V781221. assign V141420 = V131093. assign V236174 = V496579 + 1. assign V709817 = V089911 - 1. assign V511557 = V496579 + 1. assign V085987 = V342858 - 1. assign V007765 = V898740. assign V480469 = V385014 - 1. assign V766159 = V362371. assign V013783 = V007765 - 1. assign V638829 = V999066. assign V540497 = V596205. assign V541081 = V856148 + 1. assign V243779 = V899353 + 1. assign V596205 = V733010 - 1. assign V781221 = V631607 - 1. assign V366852 = V601199. assign V205875 = V139949 - 1. assign V612751 = V533589. assign V947423 = V322450 + 1. assign V242545 = V802298 + 1. assign V322450 = V631607 - 1. assign V362371 = V353602 - 1. assign V098456 = V991961. assign V968666 = V205875 + 1. assign V609776 = V563864 + 1. assign V858664 = V656729 + 1. assign V728287 = V733010 - 1. assign V642912 = V772830. assign V203497 = V604637. assign V638416 = V869745 - 1. assign V817180 = V353602 - 1. assign V964533 = V743038 + 1. assign V283995 = V526069 + 1. assign V173978 = V484202. assign V450078 = V185962. assign V050494 = V470779 - 1. assign V604792 = V601199 - 1. assign V533589 = V648052 + 1. assign V351266 = V257941. assign V783508 = V856148. assign V868193 = V064663 + 1. assign V767094 = V751364 + 1. assign V078714 = V446010 + 1. assign V178740 = V459676. assign V869745 = V856148 + 1. assign V563008 = V283995 - 1. assign V733010 = V139949 - 1. assign V758739 = V596205 - 1. assign V234410 = V139949 + 1. assign V743038 = V760716 + 1. assign V064663 = V783508. assign V850520 = V856148. assign V648052 = V856148 + 1. assign V300099 = V991961 - 1. assign V511300 = V794444. assign V548152 = V085987 + 1. assign V427269 = V991961. assign V603793 = V200742. assign V555487 = V450909 + 1. assign V967203 = V458246. assign V812059 = V812219 + 1. assign V257941 = V351332. assign V125382 = V733010. assign V579089 = V257941 + 1. assign V104589 = V013783 + 1. assign V145039 = V783508. assign V013852 = V743038. assign V241966 = V612751 + 1. assign V185962 = V302626 + 1. assign V070263 = V241966 - 1. assign V306214 = V869745 + 1. assign V544501 = V229699 - 1. assign V278379 = V609776 + 1. assign V484202 = V236174 + 1. assign V898740 = V243779. assign V647938 = V236174 + 1. assign V605298 = V480469 + 1. assign V229699 = V596205. assign V858384 = V746774. assign V971706 = V302626. assign V595927 = V540497 + 1. assign V802298 = V596205. assign V794444 = V217300 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V760716 = V205875 + 1. assign V604637 = V869745 - 1. assign V150297 = V856148 + 1. assign V171027 = V325463 + 1. assign V154117 = V150297 + 1. assign V474416 = V709817 - 1. assign V674377 = V856148 + 1. assign V751364 = V999066 + 1. assign V200742 = V868193 - 1. assign V342858 = V638416. assign V607944 = V351332. assign V289562 = V446010 + 1. assign V856148 = V631607. assign V353602 = V496579 + 1. assign V131093 = V496579. assign V105682 = V171027 + 1. assign V521784 = V899353 - 1. assign V815825 = V998110 - 1. assign V746774 = V139949 + 1. assign V780187 = V794444 - 1. assign V445344 = V869745 - 1. assign V568817 = V353602 + 1. assign V015997 = V540497 + 1. assign V415858 = V856148 + 1. assign V526069 = V139949 - 1. assign V133523 = V819622 + 1. assign V956684 = V150297 + 1. assign V213776 = V998110 + 1. assign V470779 = V869745. assign V459676 = V064663 + 1. assign V180030 = V306214 + 1. assign V567687 = V533763. assign V991961 = V480469 - 1. assign V754192 = V631607. assign V139949 = V856148. assign V535110 = V760716 - 1. assign V533763 = V856148. assign V589411 = 3. assign V496579 = V746774. assign V450909 = V780187 - 1. assign V970592 = V283995. assign V786602 = V567687 + 1. assign V302626 = V217300. assign V325463 = V243779 - 1. assign V313385 = V858664 + 1. assign V667809 = V947423 + 1. assign V385014 = V760716 + 1. assign V822155 = V229699. assign V772830 = V362371 + 1. assign V089911 = V229699. assign V822237 = V783508 - 1. assign V135850 = V869745. assign V705538 = V150297. assign V834529 = V605298 + 1. assign V819622 = V781221 - 1. assign V575035 = V511300 + 1. assign V726729 = V656729 - 1. assign V043750 = V947423 - 1. assign V812219 = V115089 + 1. assign V217300 = V822237. assign V563864 = V249472 + 1. assign V225416 = V180030 - 1. assign V532331 = V533763. assign V993545 = V589411. assign V888779 = V535110. assign V351332 = V991961. assign V809020 = V283995 + 1. assign V770542 = V964533. assign V091490 = V145039. assign V115089 = V999066. assign V220561 = V667809. assign V458246 = V533763 - 1. assign V758301 = V217300. assign V446010 = V856148 - 1. assign V937794 = V526069. assign V998110 = V533589. assign V704736 = V858664 + 1. assign V899353 = V300099 + 1. assign V999066 = V743038 + 1. assign V656729 = V446010. assign V298546 = V858664 - 1. assign V601199 = V480469. assign V696933 = V325463. assign V975290 = V322450 + 1. assign V311880 = V526069. assign V249472 = V746774. assign V846112 = V968666 + 1. assign V182748 = V612751 + 1. assign V661062 = V781221. assign V141420 = V131093. assign V236174 = V496579 + 1. assign V709817 = V089911 - 1. assign V511557 = V496579 + 1. assign V085987 = V342858 - 1. assign V007765 = V898740. assign V480469 = V385014 - 1. assign V766159 = V362371. assign V013783 = V007765 - 1. assign V638829 = V999066. assign V540497 = V596205. assign V541081 = V856148 + 1. assign V243779 = V899353 + 1. assign V596205 = V733010 - 1. assign V781221 = V631607 - 1. assign V366852 = V601199. assign V205875 = V139949 - 1. assign V612751 = V533589. assign V947423 = V322450 + 1. assign V242545 = V802298 + 1. assign V322450 = V631607 - 1. assign V362371 = V353602 - 1. assign V098456 = V991961. assign V968666 = V205875 + 1. assign V609776 = V563864 + 1. assign V858664 = V656729 + 1. assign V728287 = V733010 - 1. assign V642912 = V772830. assign V203497 = V604637. assign V638416 = V869745 - 1. assign V817180 = V353602 - 1. assign V964533 = V743038 + 1. assign V283995 = V526069 + 1. assign V173978 = V484202. assign V450078 = V185962. assign V050494 = V470779 - 1. assign V604792 = V601199 - 1. assign V533589 = V648052 + 1. assign V351266 = V257941. assign V783508 = V856148. assign V868193 = V064663 + 1. assign V767094 = V751364 + 1. assign V078714 = V446010 + 1. assign V178740 = V459676. assign V869745 = V856148 + 1. assign V563008 = V283995 - 1. assign V733010 = V139949 - 1. assign V758739 = V596205 - 1. assign V234410 = V139949 + 1. assign V743038 = V760716 + 1. assign V064663 = V783508. assign V850520 = V856148. assign V648052 = V856148 + 1. assign V300099 = V991961 - 1. assign V511300 = V794444. assign V548152 = V085987 + 1. assign V427269 = V991961. assign V603793 = V200742. assign V555487 = V450909 + 1. assign V967203 = V458246. assign V812059 = V812219 + 1. assign V257941 = V351332. assign V125382 = V733010. assign V579089 = V257941 + 1. assign V104589 = V013783 + 1. assign V145039 = V783508. assign V013852 = V743038. assign V241966 = V612751 + 1. assign V185962 = V302626 + 1. assign V070263 = V241966 - 1. assign V306214 = V869745 + 1. assign V544501 = V229699 - 1. assign V278379 = V609776 + 1. assign V484202 = V236174 + 1. assign V898740 = V243779. assign V647938 = V236174 + 1. assign V605298 = V480469 + 1. assign V229699 = V596205. assign V858384 = V746774. assign V971706 = V302626. assign V595927 = V540497 + 1. assign V802298 = V596205. assign V794444 = V217300 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV589411 = 3;\n\nFrom these direct assignment(s), we have: \nV993545 = V589411 = 3;\nNo other variables can be derived from V993545;\nNo other variables can be derived from V589411;\n\nNow we have done all the calculations. Derived variables are:\nV589411 = 3;\nV993545 = 3;\n\nNow we have finished this problem. ANSWER:\nV589411, V993545\n", "role": "assistant" } ]

[ "V448785", "V828581" ]

[ { "content": "<context>\nassign V114699 = V971261 + 1. assign V317495 = V642563. assign V037757 = V838091. assign V337411 = V567654. assign V770421 = V255965 + 1. assign V685043 = V843564. assign V059211 = V641543 + 1. assign V002882 = V962812 + 1. assign V467873 = V453042 - 1. assign V046833 = V354325 - 1. assign V418834 = V567654 + 1. assign V115966 = V286424 - 1. assign V114682 = V418834 - 1. assign V448785 = 1. assign V313986 = V133561. assign V838091 = V286424. assign V405873 = V263336. assign V517120 = V567654 - 1. assign V671521 = V574169 + 1. assign V962812 = V501981. assign V593371 = V286424. assign V170512 = V567654 - 1. assign V719558 = V574169 - 1. assign V969888 = V272803. assign V541367 = V491657 + 1. assign V439082 = V998707 + 1. assign V244051 = V081538 - 1. assign V917707 = V675629. assign V248297 = V170512. assign V286424 = V990525 + 1. assign V567868 = V380176. assign V540390 = V147132 + 1. assign V834073 = V438102 + 1. assign V019673 = V596533 + 1. assign V074782 = V360149. assign V172324 = V772158 + 1. assign V947293 = V355619 + 1. assign V081205 = V526449 - 1. assign V293985 = V501981 + 1. assign V750251 = V341738 - 1. assign V753675 = V574169. assign V255965 = V599542 + 1. assign V174232 = V683643 - 1. assign V647468 = V642563 - 1. assign V028502 = V442937 - 1. assign V712031 = V787147 - 1. assign V543283 = V491657 - 1. assign V052344 = V675629 - 1. assign V688571 = V574169. assign V415155 = V503636 + 1. assign V526449 = V567654. assign V354325 = V491657 - 1. assign V828581 = V448785. assign V735618 = V493477 + 1. assign V260841 = V683643. assign V493477 = V647468. assign V960879 = V213858 + 1. assign V077294 = V037757 + 1. assign V158931 = V330489 + 1. assign V265755 = V545934 - 1. assign V827484 = V625088 - 1. assign V971261 = V688571 + 1. assign V727279 = V298564 + 1. assign V093042 = V567654. assign V526953 = V787147 - 1. assign V754725 = V682169. assign V298564 = V405873. assign V918979 = V984332. assign V265662 = V570955 - 1. assign V927653 = V398774. assign V877213 = V337411. assign V787147 = V947293. assign V183934 = V093042 + 1. assign V365838 = V172324 - 1. assign V119094 = V927653. assign V533553 = V330489. assign V253444 = V180879. assign V186107 = V037757 - 1. assign V265591 = V380176. assign V683643 = V170512 + 1. assign V087080 = V293985. assign V399777 = V170512 - 1. assign V062644 = V971261 + 1. assign V180879 = V119227 + 1. assign V157184 = V354325. assign V665883 = V104797. assign V375764 = V641543. assign V840176 = V002882 + 1. assign V133561 = V026652. assign V501981 = V596533 + 1. assign V104797 = V574169. assign V438102 = V641543. assign V272803 = V163064 + 1. assign V795392 = V772158. assign V641543 = V947293 - 1. assign V341738 = V517120 - 1. assign V537034 = V104797. assign V848904 = V405990 - 1. assign V974610 = V685043 + 1. assign V376432 = V531475 - 1. assign V398774 = V971261 - 1. assign V743798 = V174232 + 1. assign V604035 = V399777 + 1. assign V574169 = V990525 + 1. assign V515183 = V232084 - 1. assign V491657 = V719558. assign V675629 = V183934 + 1. assign V345207 = V557773 + 1. assign V254270 = V712031. assign V102125 = V254153 - 1. assign V380176 = V293985 + 1. assign V065381 = V059211 - 1. assign V330489 = V341738 + 1. assign V223374 = V787147. assign V026652 = V927653 - 1. assign V336082 = V376432. assign V767549 = V625088. assign V885737 = V491657 - 1. assign V967425 = V557773 - 1. assign V127572 = V074782 - 1. assign V599542 = V772158. assign V254153 = V990525 + 1. assign V625088 = V355619 - 1. assign V147132 = V570955 + 1. assign V772158 = V557773. assign V405990 = V399777. assign V990525 = V557773. assign V652110 = V838091 + 1. assign V975717 = V336082. assign V311304 = V180879. assign V081538 = V517120. assign V163714 = V120800 + 1. assign V314494 = V491657. assign V355619 = V286424 - 1. assign V472561 = V487044 + 1. assign V299728 = V971261 + 1. assign V163064 = V625088 - 1. assign V567654 = V557773 - 1. assign V487044 = V380176 + 1. assign V394507 = V544565 + 1. assign V429891 = V453042. assign V442937 = V017447. assign V984332 = V517120. assign V232084 = V971261 - 1. assign V570955 = V971261 - 1. assign V263336 = V557773 - 1. assign V360149 = V984332. assign V503636 = V019673 - 1. assign V544565 = V885737 - 1. assign V843564 = V750251 + 1. assign V120800 = V163064 + 1. assign V453042 = V719558 - 1. assign V692449 = V885737 - 1. assign V531475 = V683643. assign V642563 = V574169. assign V998707 = V104797 - 1. assign V017447 = V971261. assign V213858 = V541367 - 1. assign V631280 = V487044. assign V684400 = V593371 + 1. assign V682169 = V026652. assign V854002 = V405990. assign V143066 = V183934 - 1. assign V192079 = V314494 + 1. assign V562192 = V599542 - 1. assign V545934 = V293985. assign V346901 = V596533 - 1. assign V780147 = V114699 - 1. assign V596533 = V719558 + 1. assign V814401 = V102125 + 1. assign V192600 = V543283. assign V119227 = V574169.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V114699 = V971261 + 1. assign V317495 = V642563. assign V037757 = V838091. assign V337411 = V567654. assign V770421 = V255965 + 1. assign V685043 = V843564. assign V059211 = V641543 + 1. assign V002882 = V962812 + 1. assign V467873 = V453042 - 1. assign V046833 = V354325 - 1. assign V418834 = V567654 + 1. assign V115966 = V286424 - 1. assign V114682 = V418834 - 1. assign V448785 = 1. assign V313986 = V133561. assign V838091 = V286424. assign V405873 = V263336. assign V517120 = V567654 - 1. assign V671521 = V574169 + 1. assign V962812 = V501981. assign V593371 = V286424. assign V170512 = V567654 - 1. assign V719558 = V574169 - 1. assign V969888 = V272803. assign V541367 = V491657 + 1. assign V439082 = V998707 + 1. assign V244051 = V081538 - 1. assign V917707 = V675629. assign V248297 = V170512. assign V286424 = V990525 + 1. assign V567868 = V380176. assign V540390 = V147132 + 1. assign V834073 = V438102 + 1. assign V019673 = V596533 + 1. assign V074782 = V360149. assign V172324 = V772158 + 1. assign V947293 = V355619 + 1. assign V081205 = V526449 - 1. assign V293985 = V501981 + 1. assign V750251 = V341738 - 1. assign V753675 = V574169. assign V255965 = V599542 + 1. assign V174232 = V683643 - 1. assign V647468 = V642563 - 1. assign V028502 = V442937 - 1. assign V712031 = V787147 - 1. assign V543283 = V491657 - 1. assign V052344 = V675629 - 1. assign V688571 = V574169. assign V415155 = V503636 + 1. assign V526449 = V567654. assign V354325 = V491657 - 1. assign V828581 = V448785. assign V735618 = V493477 + 1. assign V260841 = V683643. assign V493477 = V647468. assign V960879 = V213858 + 1. assign V077294 = V037757 + 1. assign V158931 = V330489 + 1. assign V265755 = V545934 - 1. assign V827484 = V625088 - 1. assign V971261 = V688571 + 1. assign V727279 = V298564 + 1. assign V093042 = V567654. assign V526953 = V787147 - 1. assign V754725 = V682169. assign V298564 = V405873. assign V918979 = V984332. assign V265662 = V570955 - 1. assign V927653 = V398774. assign V877213 = V337411. assign V787147 = V947293. assign V183934 = V093042 + 1. assign V365838 = V172324 - 1. assign V119094 = V927653. assign V533553 = V330489. assign V253444 = V180879. assign V186107 = V037757 - 1. assign V265591 = V380176. assign V683643 = V170512 + 1. assign V087080 = V293985. assign V399777 = V170512 - 1. assign V062644 = V971261 + 1. assign V180879 = V119227 + 1. assign V157184 = V354325. assign V665883 = V104797. assign V375764 = V641543. assign V840176 = V002882 + 1. assign V133561 = V026652. assign V501981 = V596533 + 1. assign V104797 = V574169. assign V438102 = V641543. assign V272803 = V163064 + 1. assign V795392 = V772158. assign V641543 = V947293 - 1. assign V341738 = V517120 - 1. assign V537034 = V104797. assign V848904 = V405990 - 1. assign V974610 = V685043 + 1. assign V376432 = V531475 - 1. assign V398774 = V971261 - 1. assign V743798 = V174232 + 1. assign V604035 = V399777 + 1. assign V574169 = V990525 + 1. assign V515183 = V232084 - 1. assign V491657 = V719558. assign V675629 = V183934 + 1. assign V345207 = V557773 + 1. assign V254270 = V712031. assign V102125 = V254153 - 1. assign V380176 = V293985 + 1. assign V065381 = V059211 - 1. assign V330489 = V341738 + 1. assign V223374 = V787147. assign V026652 = V927653 - 1. assign V336082 = V376432. assign V767549 = V625088. assign V885737 = V491657 - 1. assign V967425 = V557773 - 1. assign V127572 = V074782 - 1. assign V599542 = V772158. assign V254153 = V990525 + 1. assign V625088 = V355619 - 1. assign V147132 = V570955 + 1. assign V772158 = V557773. assign V405990 = V399777. assign V990525 = V557773. assign V652110 = V838091 + 1. assign V975717 = V336082. assign V311304 = V180879. assign V081538 = V517120. assign V163714 = V120800 + 1. assign V314494 = V491657. assign V355619 = V286424 - 1. assign V472561 = V487044 + 1. assign V299728 = V971261 + 1. assign V163064 = V625088 - 1. assign V567654 = V557773 - 1. assign V487044 = V380176 + 1. assign V394507 = V544565 + 1. assign V429891 = V453042. assign V442937 = V017447. assign V984332 = V517120. assign V232084 = V971261 - 1. assign V570955 = V971261 - 1. assign V263336 = V557773 - 1. assign V360149 = V984332. assign V503636 = V019673 - 1. assign V544565 = V885737 - 1. assign V843564 = V750251 + 1. assign V120800 = V163064 + 1. assign V453042 = V719558 - 1. assign V692449 = V885737 - 1. assign V531475 = V683643. assign V642563 = V574169. assign V998707 = V104797 - 1. assign V017447 = V971261. assign V213858 = V541367 - 1. assign V631280 = V487044. assign V684400 = V593371 + 1. assign V682169 = V026652. assign V854002 = V405990. assign V143066 = V183934 - 1. assign V192079 = V314494 + 1. assign V562192 = V599542 - 1. assign V545934 = V293985. assign V346901 = V596533 - 1. assign V780147 = V114699 - 1. assign V596533 = V719558 + 1. assign V814401 = V102125 + 1. assign V192600 = V543283. assign V119227 = V574169.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV448785 = 1;\n\nFrom these direct assignment(s), we have: \nV828581 = V448785 = 1;\nNo other variables can be derived from V828581;\nNo other variables can be derived from V448785;\n\nNow we have done all the calculations. Derived variables are:\nV448785 = 1;\nV828581 = 1;\n\nNow we have finished this problem. ANSWER:\nV448785, V828581\n", "role": "assistant" } ]

[ "V142715", "V032527" ]

[ { "content": "<context>\nassign V579882 = V745156 - 1. assign V980118 = V981478. assign V670634 = V726555. assign V362848 = V981478 - 1. assign V971299 = V909785 + 1. assign V149110 = V314363 - 1. assign V316406 = V934478 + 1. assign V268762 = V137025 - 1. assign V137125 = V473836. assign V097362 = V027917 - 1. assign V467706 = V665790 - 1. assign V544470 = V463659. assign V747887 = V599240. assign V422646 = V362848 - 1. assign V292278 = V113233. assign V325775 = V740480 - 1. assign V065921 = V892961 + 1. assign V227690 = V823750 - 1. assign V271827 = V113233 + 1. assign V181224 = V670634 - 1. assign V957215 = V473836 + 1. assign V636332 = V630523 - 1. assign V992249 = V022417 + 1. assign V463659 = V843291. assign V757762 = V316406 + 1. assign V372825 = V376282 - 1. assign V272122 = V771543 + 1. assign V297390 = V427770 - 1. assign V355210 = V167497 - 1. assign V064439 = V971299 - 1. assign V530928 = V934478 + 1. assign V433466 = V304399 + 1. assign V536852 = V740307. assign V482231 = V432382 - 1. assign V901577 = V427770. assign V473836 = V424009. assign V139226 = V849543 + 1. assign V665790 = V056320. assign V909785 = V056320 - 1. assign V455031 = V579882 - 1. assign V427770 = V137125 - 1. assign V911453 = V909785. assign V459867 = V041954 + 1. assign V392473 = V971299 + 1. assign V267559 = V424009. assign V415090 = V473836 - 1. assign V888662 = V463659 + 1. assign V393891 = V271827 + 1. assign V011197 = V473836 - 1. assign V540959 = V992249. assign V167446 = V670634 - 1. assign V261889 = V473836. assign V052205 = V892961 + 1. assign V137025 = V386207. assign V770030 = V630599. assign V144520 = V843291 + 1. assign V338485 = V505226. assign V055563 = V505226. assign V373103 = V726555. assign V314574 = V333429 + 1. assign V843291 = V113233 + 1. assign V784313 = V992249 - 1. assign V041954 = V505226 + 1. assign V695440 = V457098. assign V055755 = V619141 - 1. assign V671530 = V695440 + 1. assign V943003 = V088602 - 1. assign V620007 = V996337. assign V103697 = V467706 + 1. assign V791013 = V307562 - 1. assign V096563 = V715625 - 1. assign V192723 = V934478 + 1. assign V800015 = V655414 - 1. assign V900671 = V137125 + 1. assign V712592 = V088602 - 1. assign V849543 = V027917 + 1. assign V740480 = V022417. assign V656176 = V944048. assign V892961 = V304399 - 1. assign V307562 = V065921. assign V569503 = V740307 - 1. assign V167045 = V307562 + 1. assign V762816 = V592093. assign V088602 = V333429. assign V538689 = V424009. assign V376282 = V113233 + 1. assign V797709 = V424009. assign V034353 = V455031 - 1. assign V167497 = V800015 + 1. assign V665681 = V565658 + 1. assign V950592 = V619722 + 1. assign V838866 = V224753 + 1. assign V636903 = V980118 - 1. assign V981478 = V267559. assign V101891 = V304399 + 1. assign V637865 = V800015 - 1. assign V314363 = V376282 + 1. assign V630523 = V027917 - 1. assign V740307 = V101891 + 1. assign V655414 = V762816 - 1. assign V715625 = V217963 - 1. assign V142715 = 10. assign V032527 = V142715. assign V771543 = V661347 + 1. assign V116820 = V482231 - 1. assign V225735 = V139226 - 1. assign V745156 = V619141. assign V726555 = V981478. assign V027917 = V575450 + 1. assign V119655 = V933016 - 1. assign V312371 = V944048 + 1. assign V386207 = V898324. assign V057164 = V097362. assign V217963 = V665790 - 1. assign V847661 = V849543. assign V289840 = V455031. assign V169100 = V670634 + 1. assign V565658 = V665790. assign V210798 = V101394 - 1. assign V933016 = V267559 - 1. assign V599240 = V670634 + 1. assign V389520 = V909785. assign V304399 = V056320 + 1. assign V206649 = V372825 - 1. assign V589879 = V292278. assign V580883 = V665790 - 1. assign V099171 = V316406 + 1. assign V871251 = V425015. assign V505226 = V981478. assign V984713 = V424009 - 1. assign V630599 = V726555 - 1. assign V432382 = V064439 - 1. assign V661347 = V871251. assign V113233 = V575450 - 1. assign V602060 = V393891. assign V624455 = V137025 + 1. assign V885991 = V289840 - 1. assign V022417 = V575450 + 1. assign V575450 = V056320. assign V898324 = V892961 - 1. assign V650283 = V137125 + 1. assign V224753 = V137125 - 1. assign V619722 = V167446. assign V550530 = V934478 + 1. assign V507829 = V624455 + 1. assign V273476 = V424009. assign V424009 = V113233. assign V101394 = V467706 + 1. assign V425015 = V565658. assign V462704 = V206649 + 1. assign V213470 = V984713 - 1. assign V352003 = V022417. assign V592093 = V550530. assign V996337 = V726555 - 1. assign V457098 = V352003 - 1. assign V563659 = V871251. assign V387163 = V619722 + 1. assign V619141 = V892961. assign V097454 = V823750. assign V934478 = V575450. assign V823750 = V462704 - 1. assign V967137 = V580883. assign V710890 = V425015 + 1. assign V038043 = V665790. assign V875749 = V589879 - 1. assign V203079 = V292278. assign V615362 = V589879 + 1. assign V248783 = V620007 - 1. assign V944048 = V589879 - 1. assign V134884 = V011197 - 1. assign V323265 = V139226. assign V333429 = V113233 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V579882 = V745156 - 1. assign V980118 = V981478. assign V670634 = V726555. assign V362848 = V981478 - 1. assign V971299 = V909785 + 1. assign V149110 = V314363 - 1. assign V316406 = V934478 + 1. assign V268762 = V137025 - 1. assign V137125 = V473836. assign V097362 = V027917 - 1. assign V467706 = V665790 - 1. assign V544470 = V463659. assign V747887 = V599240. assign V422646 = V362848 - 1. assign V292278 = V113233. assign V325775 = V740480 - 1. assign V065921 = V892961 + 1. assign V227690 = V823750 - 1. assign V271827 = V113233 + 1. assign V181224 = V670634 - 1. assign V957215 = V473836 + 1. assign V636332 = V630523 - 1. assign V992249 = V022417 + 1. assign V463659 = V843291. assign V757762 = V316406 + 1. assign V372825 = V376282 - 1. assign V272122 = V771543 + 1. assign V297390 = V427770 - 1. assign V355210 = V167497 - 1. assign V064439 = V971299 - 1. assign V530928 = V934478 + 1. assign V433466 = V304399 + 1. assign V536852 = V740307. assign V482231 = V432382 - 1. assign V901577 = V427770. assign V473836 = V424009. assign V139226 = V849543 + 1. assign V665790 = V056320. assign V909785 = V056320 - 1. assign V455031 = V579882 - 1. assign V427770 = V137125 - 1. assign V911453 = V909785. assign V459867 = V041954 + 1. assign V392473 = V971299 + 1. assign V267559 = V424009. assign V415090 = V473836 - 1. assign V888662 = V463659 + 1. assign V393891 = V271827 + 1. assign V011197 = V473836 - 1. assign V540959 = V992249. assign V167446 = V670634 - 1. assign V261889 = V473836. assign V052205 = V892961 + 1. assign V137025 = V386207. assign V770030 = V630599. assign V144520 = V843291 + 1. assign V338485 = V505226. assign V055563 = V505226. assign V373103 = V726555. assign V314574 = V333429 + 1. assign V843291 = V113233 + 1. assign V784313 = V992249 - 1. assign V041954 = V505226 + 1. assign V695440 = V457098. assign V055755 = V619141 - 1. assign V671530 = V695440 + 1. assign V943003 = V088602 - 1. assign V620007 = V996337. assign V103697 = V467706 + 1. assign V791013 = V307562 - 1. assign V096563 = V715625 - 1. assign V192723 = V934478 + 1. assign V800015 = V655414 - 1. assign V900671 = V137125 + 1. assign V712592 = V088602 - 1. assign V849543 = V027917 + 1. assign V740480 = V022417. assign V656176 = V944048. assign V892961 = V304399 - 1. assign V307562 = V065921. assign V569503 = V740307 - 1. assign V167045 = V307562 + 1. assign V762816 = V592093. assign V088602 = V333429. assign V538689 = V424009. assign V376282 = V113233 + 1. assign V797709 = V424009. assign V034353 = V455031 - 1. assign V167497 = V800015 + 1. assign V665681 = V565658 + 1. assign V950592 = V619722 + 1. assign V838866 = V224753 + 1. assign V636903 = V980118 - 1. assign V981478 = V267559. assign V101891 = V304399 + 1. assign V637865 = V800015 - 1. assign V314363 = V376282 + 1. assign V630523 = V027917 - 1. assign V740307 = V101891 + 1. assign V655414 = V762816 - 1. assign V715625 = V217963 - 1. assign V142715 = 10. assign V032527 = V142715. assign V771543 = V661347 + 1. assign V116820 = V482231 - 1. assign V225735 = V139226 - 1. assign V745156 = V619141. assign V726555 = V981478. assign V027917 = V575450 + 1. assign V119655 = V933016 - 1. assign V312371 = V944048 + 1. assign V386207 = V898324. assign V057164 = V097362. assign V217963 = V665790 - 1. assign V847661 = V849543. assign V289840 = V455031. assign V169100 = V670634 + 1. assign V565658 = V665790. assign V210798 = V101394 - 1. assign V933016 = V267559 - 1. assign V599240 = V670634 + 1. assign V389520 = V909785. assign V304399 = V056320 + 1. assign V206649 = V372825 - 1. assign V589879 = V292278. assign V580883 = V665790 - 1. assign V099171 = V316406 + 1. assign V871251 = V425015. assign V505226 = V981478. assign V984713 = V424009 - 1. assign V630599 = V726555 - 1. assign V432382 = V064439 - 1. assign V661347 = V871251. assign V113233 = V575450 - 1. assign V602060 = V393891. assign V624455 = V137025 + 1. assign V885991 = V289840 - 1. assign V022417 = V575450 + 1. assign V575450 = V056320. assign V898324 = V892961 - 1. assign V650283 = V137125 + 1. assign V224753 = V137125 - 1. assign V619722 = V167446. assign V550530 = V934478 + 1. assign V507829 = V624455 + 1. assign V273476 = V424009. assign V424009 = V113233. assign V101394 = V467706 + 1. assign V425015 = V565658. assign V462704 = V206649 + 1. assign V213470 = V984713 - 1. assign V352003 = V022417. assign V592093 = V550530. assign V996337 = V726555 - 1. assign V457098 = V352003 - 1. assign V563659 = V871251. assign V387163 = V619722 + 1. assign V619141 = V892961. assign V097454 = V823750. assign V934478 = V575450. assign V823750 = V462704 - 1. assign V967137 = V580883. assign V710890 = V425015 + 1. assign V038043 = V665790. assign V875749 = V589879 - 1. assign V203079 = V292278. assign V615362 = V589879 + 1. assign V248783 = V620007 - 1. assign V944048 = V589879 - 1. assign V134884 = V011197 - 1. assign V323265 = V139226. assign V333429 = V113233 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV142715 = 10;\n\nFrom these direct assignment(s), we have: \nV032527 = V142715 = 10;\nNo other variables can be derived from V032527;\nNo other variables can be derived from V142715;\n\nNow we have done all the calculations. Derived variables are:\nV142715 = 10;\nV032527 = 10;\n\nNow we have finished this problem. ANSWER:\nV142715, V032527\n", "role": "assistant" } ]

[ "V214058" ]

[ { "content": "<context>\nassign V249991 = V939200 - 1. assign V166749 = V318240. assign V205381 = V377733 + 1. assign V496994 = V580138. assign V809952 = V104259. assign V998803 = V443430 + 1. assign V356057 = V301992. assign V777185 = V257164 - 1. assign V459347 = V798263 + 1. assign V903456 = V354873. assign V212830 = V341984 + 1. assign V489465 = V297804. assign V378838 = V212830. assign V757692 = V646898 + 1. assign V240751 = V966130 - 1. assign V257164 = V601130 + 1. assign V338040 = V137676 + 1. assign V860210 = V117470 - 1. assign V118839 = V839841 - 1. assign V908705 = V798263 + 1. assign V204102 = V757692 + 1. assign V664290 = V048977. assign V971458 = V142955 - 1. assign V612987 = V558893. assign V713624 = V689221. assign V354873 = V257164 + 1. assign V392048 = V109269. assign V909281 = V795599. assign V426336 = V843861 + 1. assign V329669 = V287188 - 1. assign V793034 = V689221. assign V117470 = V960665 + 1. assign V450786 = V440131. assign V795599 = V777185 - 1. assign V287188 = V509647 - 1. assign V964295 = V205381. assign V674210 = V381944 + 1. assign V689221 = V777185 + 1. assign V900864 = V212830 + 1. assign V110889 = V729104. assign V598043 = V646898 - 1. assign V051349 = V326766. assign V960065 = V318240 - 1. assign V854492 = V752015 + 1. assign V884811 = V998803 + 1. assign V701683 = V960065. assign V612420 = V894815 - 1. assign V305220 = V341984 + 1. assign V489590 = V646898 - 1. assign V435538 = V326766. assign V815422 = V839841 - 1. assign V782441 = V257164. assign V607133 = V819712 + 1. assign V419838 = V843861 - 1. assign V007108 = V212830 - 1. assign V558893 = V354873 + 1. assign V552754 = V318240. assign V177398 = V509647 + 1. assign V016922 = V061508 + 1. assign V316241 = V089717. assign V580138 = V354873 - 1. assign V640317 = V140046 + 1. assign V379529 = V549241 - 1. assign V629306 = V664290 - 1. assign V268674 = V142955 + 1. assign V375581 = V443430. assign V659402 = V007108 + 1. assign V476734 = V515934. assign V862237 = V104259. assign V196309 = V268674 - 1. assign V568307 = V381944. assign V828983 = V893406 - 1. assign V839841 = V257164 - 1. assign V830405 = V641518 - 1. assign V389156 = V301126 + 1. assign V443430 = V777185. assign V140046 = V854492. assign V509647 = V664290 + 1. assign V549241 = V048977 + 1. assign V214058 = V002946 + 1. assign V142955 = V489590 + 1. assign V264156 = V884811. assign V194131 = V647045 + 1. assign V729659 = V173151 - 1. assign V966130 = V496994 + 1. assign V574995 = V354873. assign V611030 = V264156. assign V939200 = V089717 + 1. assign V061508 = V048977. assign V023823 = V815422 - 1. assign V326766 = V354873 - 1. assign V384875 = V127010 + 1. assign V339657 = V641518 - 1. assign V591800 = V048977. assign V440131 = V341984 + 1. assign V646898 = V752015 + 1. assign V641518 = V379529. assign V714343 = V055736 - 1. assign V022137 = V007108 - 1. assign V381944 = V839841 + 1. assign V301126 = V118839. assign V265293 = V137676 + 1. assign V819327 = V459347 - 1. assign V341984 = V574995. assign V629227 = V574995 + 1. assign V687408 = V459347 - 1. assign V629318 = V039134 + 1. assign V356697 = V777786 - 1. assign V785428 = V856423. assign V002946 = 7. assign V146961 = V612987 - 1. assign V048977 = V489590 - 1. assign V265870 = V212830 + 1. assign V089717 = V558893. assign V896776 = V641518 - 1. assign V889032 = V048977 + 1. assign V109269 = V709850. assign V104259 = V782441 - 1. assign V819712 = V549241. assign V167552 = V664290. assign V344703 = V505668. assign V948049 = V729659. assign V893406 = V777185 - 1. assign V902621 = V318240 + 1. assign V856423 = V782441. assign V777786 = V793034 + 1. assign V505668 = V354873 + 1. assign V439573 = V757692 - 1. assign V252840 = V109269 - 1. assign V885110 = V301992 + 1. assign V461098 = V287188 + 1. assign V461624 = V379529 - 1. assign V039134 = V085134. assign V515934 = V795313 + 1. assign V301992 = V354873. assign V996158 = V795313 - 1. assign V843861 = V709850. assign V879690 = V301992. assign V041696 = V909281. assign V318240 = V489590 + 1. assign V130207 = V709850. assign V752015 = V601130. assign V440120 = V496994 - 1. assign V729104 = V607133. assign V377733 = V257164 + 1. assign V894815 = V109269 + 1. assign V297804 = V354873. assign V543490 = V539992 - 1. assign V173151 = V137676 - 1. assign V137676 = V257164 + 1. assign V798263 = V196309 + 1. assign V336027 = V884811 - 1. assign V575777 = V419838 + 1. assign V795313 = V297804. assign V085134 = V819712. assign V990294 = V647045 - 1. assign V349494 = V580138 - 1. assign V114484 = V301126 + 1. assign V317201 = V757692. assign V127010 = V782441 + 1. assign V410898 = V854492. assign V516824 = V339657 + 1. assign V539992 = V647045. assign V247455 = V819712. assign V591743 = V689221 - 1. assign V054589 = V419838 - 1. assign V348836 = V377733 + 1. assign V960665 = V381944 + 1. assign V055736 = V007108 - 1. assign V722268 = V023823. assign V647045 = V777185. assign V709850 = V118839.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V249991 = V939200 - 1. assign V166749 = V318240. assign V205381 = V377733 + 1. assign V496994 = V580138. assign V809952 = V104259. assign V998803 = V443430 + 1. assign V356057 = V301992. assign V777185 = V257164 - 1. assign V459347 = V798263 + 1. assign V903456 = V354873. assign V212830 = V341984 + 1. assign V489465 = V297804. assign V378838 = V212830. assign V757692 = V646898 + 1. assign V240751 = V966130 - 1. assign V257164 = V601130 + 1. assign V338040 = V137676 + 1. assign V860210 = V117470 - 1. assign V118839 = V839841 - 1. assign V908705 = V798263 + 1. assign V204102 = V757692 + 1. assign V664290 = V048977. assign V971458 = V142955 - 1. assign V612987 = V558893. assign V713624 = V689221. assign V354873 = V257164 + 1. assign V392048 = V109269. assign V909281 = V795599. assign V426336 = V843861 + 1. assign V329669 = V287188 - 1. assign V793034 = V689221. assign V117470 = V960665 + 1. assign V450786 = V440131. assign V795599 = V777185 - 1. assign V287188 = V509647 - 1. assign V964295 = V205381. assign V674210 = V381944 + 1. assign V689221 = V777185 + 1. assign V900864 = V212830 + 1. assign V110889 = V729104. assign V598043 = V646898 - 1. assign V051349 = V326766. assign V960065 = V318240 - 1. assign V854492 = V752015 + 1. assign V884811 = V998803 + 1. assign V701683 = V960065. assign V612420 = V894815 - 1. assign V305220 = V341984 + 1. assign V489590 = V646898 - 1. assign V435538 = V326766. assign V815422 = V839841 - 1. assign V782441 = V257164. assign V607133 = V819712 + 1. assign V419838 = V843861 - 1. assign V007108 = V212830 - 1. assign V558893 = V354873 + 1. assign V552754 = V318240. assign V177398 = V509647 + 1. assign V016922 = V061508 + 1. assign V316241 = V089717. assign V580138 = V354873 - 1. assign V640317 = V140046 + 1. assign V379529 = V549241 - 1. assign V629306 = V664290 - 1. assign V268674 = V142955 + 1. assign V375581 = V443430. assign V659402 = V007108 + 1. assign V476734 = V515934. assign V862237 = V104259. assign V196309 = V268674 - 1. assign V568307 = V381944. assign V828983 = V893406 - 1. assign V839841 = V257164 - 1. assign V830405 = V641518 - 1. assign V389156 = V301126 + 1. assign V443430 = V777185. assign V140046 = V854492. assign V509647 = V664290 + 1. assign V549241 = V048977 + 1. assign V214058 = V002946 + 1. assign V142955 = V489590 + 1. assign V264156 = V884811. assign V194131 = V647045 + 1. assign V729659 = V173151 - 1. assign V966130 = V496994 + 1. assign V574995 = V354873. assign V611030 = V264156. assign V939200 = V089717 + 1. assign V061508 = V048977. assign V023823 = V815422 - 1. assign V326766 = V354873 - 1. assign V384875 = V127010 + 1. assign V339657 = V641518 - 1. assign V591800 = V048977. assign V440131 = V341984 + 1. assign V646898 = V752015 + 1. assign V641518 = V379529. assign V714343 = V055736 - 1. assign V022137 = V007108 - 1. assign V381944 = V839841 + 1. assign V301126 = V118839. assign V265293 = V137676 + 1. assign V819327 = V459347 - 1. assign V341984 = V574995. assign V629227 = V574995 + 1. assign V687408 = V459347 - 1. assign V629318 = V039134 + 1. assign V356697 = V777786 - 1. assign V785428 = V856423. assign V002946 = 7. assign V146961 = V612987 - 1. assign V048977 = V489590 - 1. assign V265870 = V212830 + 1. assign V089717 = V558893. assign V896776 = V641518 - 1. assign V889032 = V048977 + 1. assign V109269 = V709850. assign V104259 = V782441 - 1. assign V819712 = V549241. assign V167552 = V664290. assign V344703 = V505668. assign V948049 = V729659. assign V893406 = V777185 - 1. assign V902621 = V318240 + 1. assign V856423 = V782441. assign V777786 = V793034 + 1. assign V505668 = V354873 + 1. assign V439573 = V757692 - 1. assign V252840 = V109269 - 1. assign V885110 = V301992 + 1. assign V461098 = V287188 + 1. assign V461624 = V379529 - 1. assign V039134 = V085134. assign V515934 = V795313 + 1. assign V301992 = V354873. assign V996158 = V795313 - 1. assign V843861 = V709850. assign V879690 = V301992. assign V041696 = V909281. assign V318240 = V489590 + 1. assign V130207 = V709850. assign V752015 = V601130. assign V440120 = V496994 - 1. assign V729104 = V607133. assign V377733 = V257164 + 1. assign V894815 = V109269 + 1. assign V297804 = V354873. assign V543490 = V539992 - 1. assign V173151 = V137676 - 1. assign V137676 = V257164 + 1. assign V798263 = V196309 + 1. assign V336027 = V884811 - 1. assign V575777 = V419838 + 1. assign V795313 = V297804. assign V085134 = V819712. assign V990294 = V647045 - 1. assign V349494 = V580138 - 1. assign V114484 = V301126 + 1. assign V317201 = V757692. assign V127010 = V782441 + 1. assign V410898 = V854492. assign V516824 = V339657 + 1. assign V539992 = V647045. assign V247455 = V819712. assign V591743 = V689221 - 1. assign V054589 = V419838 - 1. assign V348836 = V377733 + 1. assign V960665 = V381944 + 1. assign V055736 = V007108 - 1. assign V722268 = V023823. assign V647045 = V777185. assign V709850 = V118839.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV002946 = 7;\n\nFrom these direct assignment(s), we have: \nV214058 = V002946 + 1 = 7 + 1 =8;\nNo other variables can be derived from V214058;\nNo other variables can be derived from V002946;\n\nNow we have done all the calculations. Derived variables are:\nV002946 = 7;\nV214058 = 8;\n\nNow we have finished this problem. ANSWER:\nV214058\n", "role": "assistant" } ]

[ "V842201" ]

[ { "content": "<context>\nassign V725411 = V649185 + 1. assign V762374 = V216779. assign V481436 = V420767 - 1. assign V580943 = V028354 - 1. assign V164106 = V593071 + 1. assign V815810 = V925589 + 1. assign V803670 = V738840. assign V887783 = V957006 - 1. assign V219635 = V783598 + 1. assign V001690 = V442423 + 1. assign V357355 = V014026. assign V310957 = V215977. assign V385665 = V119933 + 1. assign V275857 = V355879 + 1. assign V606915 = V328833. assign V811451 = V144513 - 1. assign V399550 = V628433 - 1. assign V271019 = V230179 + 1. assign V435690 = V448598 + 1. assign V697481 = V470534 + 1. assign V324489 = V092482. assign V055990 = V578857 + 1. assign V332617 = V871763 - 1. assign V963795 = V055990 + 1. assign V085887 = V442423 - 1. assign V506581 = V420767. assign V057718 = V535723 + 1. assign V554421 = V230696 - 1. assign V448598 = V916978. assign V933532 = V341905 + 1. assign V972242 = V270126 - 1. assign V698947 = V802694. assign V230179 = V420767 - 1. assign V730490 = V291469 + 1. assign V267058 = V442423. assign V021633 = V230179. assign V485066 = V164106 + 1. assign V727445 = V045890. assign V424961 = V273989 - 1. assign V898754 = V403867. assign V571119 = V144513 - 1. assign V651527 = V966225 - 1. assign V005712 = V842201 - 1. assign V249285 = V963795 - 1. assign V883196 = V260756 - 1. assign V253081 = V966225. assign V186398 = V067807 - 1. assign V710603 = V689405 + 1. assign V270126 = V219635 - 1. assign V078726 = V802694. assign V764412 = V606915. assign V291469 = V252569. assign V964085 = V199289 - 1. assign V341905 = V249285 - 1. assign V483042 = V340574 - 1. assign V092482 = V887783. assign V252569 = V144513 + 1. assign V442423 = V751584. assign V910969 = V215977. assign V910146 = V251484 + 1. assign V999375 = V955850 - 1. assign V614925 = V001690. assign V916978 = V403867 + 1. assign V290748 = V176664 - 1. assign V509453 = V403867 + 1. assign V302450 = V396091 + 1. assign V176664 = V014026 - 1. assign V251484 = V783598 - 1. assign V266960 = V215977. assign V119933 = V075675 - 1. assign V955850 = V916978 - 1. assign V578857 = V683124 - 1. assign V809716 = V898754 + 1. assign V709910 = V266960 + 1. assign V420767 = V338551. assign V444912 = V683124. assign V832270 = V957006 - 1. assign V839049 = V483042 + 1. assign V683124 = V887783 - 1. assign V763039 = V092482 + 1. assign V687591 = V901390 + 1. assign V694289 = V470534 - 1. assign V014026 = V448598 + 1. assign V593071 = V092482 + 1. assign V776221 = V014026 - 1. assign V718103 = V481436 - 1. assign V273989 = V075675 + 1. assign V340574 = V675576. assign V845750 = V219635. assign V597686 = V636498 - 1. assign V403867 = V957006 - 1. assign V424080 = V868152 + 1. assign V575048 = V302450 - 1. assign V937782 = V680521 + 1. assign V867773 = V901390. assign V966225 = V403867. assign V221814 = V901390. assign V420930 = V871763 - 1. assign V751917 = V814582 + 1. assign V721598 = V382469 + 1. assign V802694 = V887783 + 1. assign V783598 = V255743 + 1. assign V628433 = V251484 - 1. assign V230696 = V901390. assign V355879 = V578857. assign V925589 = V485066. assign V260756 = V554421 + 1. assign V396091 = V338551 - 1. assign V738840 = V957006 + 1. assign V338551 = V957006 - 1. assign V168723 = V382469 + 1. assign V715217 = V270126 - 1. assign V067807 = V578857 + 1. assign V928119 = V887783. assign V131795 = V636498 - 1. assign V496752 = V614925. assign V751584 = V683124. assign V535723 = V064112 + 1. assign V590099 = V675576 + 1. assign V215977 = V448598. assign V328833 = V403867. assign V216779 = V593071. assign V008062 = V332617 - 1. assign V866615 = V199289. assign V144513 = V802694. assign V558421 = V649185 - 1. assign V638028 = V542056. assign V600087 = V725411. assign V370967 = V481436 - 1. assign V267454 = V176664. assign V675576 = V966225 + 1. assign V636498 = V964085. assign V314528 = V442423 - 1. assign V469340 = V448598 - 1. assign V458691 = V382469 + 1. assign V415905 = V910969 + 1. assign V947828 = V802694 + 1. assign V649185 = V420767 + 1. assign V125241 = V972242 + 1. assign V842201 = 4. assign V028354 = V219635. assign V654885 = V725411. assign V868152 = V689405 + 1. assign V567507 = V253081 + 1. assign V964502 = V310957 + 1. assign V410173 = V483042 + 1. assign V137365 = V698947 + 1. assign V689405 = V119933. assign V045890 = V078726 + 1. assign V676861 = V683124 + 1. assign V422433 = V078726. assign V382469 = V340574. assign V283042 = V382469 - 1. assign V255743 = V340574 + 1. assign V815391 = V340574 - 1. assign V995963 = V694289 - 1. assign V620527 = V249285 + 1. assign V230108 = V422433 - 1. assign V871763 = V251484. assign V816907 = V382469. assign V075675 = V509453 - 1. assign V064112 = V302450 + 1. assign V680521 = V253081. assign V854530 = V420767. assign V199289 = V338551 - 1. assign V757869 = V448598 + 1. assign V901390 = V355879 + 1. assign V470534 = V816907 - 1. assign V814582 = V763039 + 1. assign V542056 = V887783 + 1. assign V642391 = V887783 + 1. assign V623027 = V809716 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V725411 = V649185 + 1. assign V762374 = V216779. assign V481436 = V420767 - 1. assign V580943 = V028354 - 1. assign V164106 = V593071 + 1. assign V815810 = V925589 + 1. assign V803670 = V738840. assign V887783 = V957006 - 1. assign V219635 = V783598 + 1. assign V001690 = V442423 + 1. assign V357355 = V014026. assign V310957 = V215977. assign V385665 = V119933 + 1. assign V275857 = V355879 + 1. assign V606915 = V328833. assign V811451 = V144513 - 1. assign V399550 = V628433 - 1. assign V271019 = V230179 + 1. assign V435690 = V448598 + 1. assign V697481 = V470534 + 1. assign V324489 = V092482. assign V055990 = V578857 + 1. assign V332617 = V871763 - 1. assign V963795 = V055990 + 1. assign V085887 = V442423 - 1. assign V506581 = V420767. assign V057718 = V535723 + 1. assign V554421 = V230696 - 1. assign V448598 = V916978. assign V933532 = V341905 + 1. assign V972242 = V270126 - 1. assign V698947 = V802694. assign V230179 = V420767 - 1. assign V730490 = V291469 + 1. assign V267058 = V442423. assign V021633 = V230179. assign V485066 = V164106 + 1. assign V727445 = V045890. assign V424961 = V273989 - 1. assign V898754 = V403867. assign V571119 = V144513 - 1. assign V651527 = V966225 - 1. assign V005712 = V842201 - 1. assign V249285 = V963795 - 1. assign V883196 = V260756 - 1. assign V253081 = V966225. assign V186398 = V067807 - 1. assign V710603 = V689405 + 1. assign V270126 = V219635 - 1. assign V078726 = V802694. assign V764412 = V606915. assign V291469 = V252569. assign V964085 = V199289 - 1. assign V341905 = V249285 - 1. assign V483042 = V340574 - 1. assign V092482 = V887783. assign V252569 = V144513 + 1. assign V442423 = V751584. assign V910969 = V215977. assign V910146 = V251484 + 1. assign V999375 = V955850 - 1. assign V614925 = V001690. assign V916978 = V403867 + 1. assign V290748 = V176664 - 1. assign V509453 = V403867 + 1. assign V302450 = V396091 + 1. assign V176664 = V014026 - 1. assign V251484 = V783598 - 1. assign V266960 = V215977. assign V119933 = V075675 - 1. assign V955850 = V916978 - 1. assign V578857 = V683124 - 1. assign V809716 = V898754 + 1. assign V709910 = V266960 + 1. assign V420767 = V338551. assign V444912 = V683124. assign V832270 = V957006 - 1. assign V839049 = V483042 + 1. assign V683124 = V887783 - 1. assign V763039 = V092482 + 1. assign V687591 = V901390 + 1. assign V694289 = V470534 - 1. assign V014026 = V448598 + 1. assign V593071 = V092482 + 1. assign V776221 = V014026 - 1. assign V718103 = V481436 - 1. assign V273989 = V075675 + 1. assign V340574 = V675576. assign V845750 = V219635. assign V597686 = V636498 - 1. assign V403867 = V957006 - 1. assign V424080 = V868152 + 1. assign V575048 = V302450 - 1. assign V937782 = V680521 + 1. assign V867773 = V901390. assign V966225 = V403867. assign V221814 = V901390. assign V420930 = V871763 - 1. assign V751917 = V814582 + 1. assign V721598 = V382469 + 1. assign V802694 = V887783 + 1. assign V783598 = V255743 + 1. assign V628433 = V251484 - 1. assign V230696 = V901390. assign V355879 = V578857. assign V925589 = V485066. assign V260756 = V554421 + 1. assign V396091 = V338551 - 1. assign V738840 = V957006 + 1. assign V338551 = V957006 - 1. assign V168723 = V382469 + 1. assign V715217 = V270126 - 1. assign V067807 = V578857 + 1. assign V928119 = V887783. assign V131795 = V636498 - 1. assign V496752 = V614925. assign V751584 = V683124. assign V535723 = V064112 + 1. assign V590099 = V675576 + 1. assign V215977 = V448598. assign V328833 = V403867. assign V216779 = V593071. assign V008062 = V332617 - 1. assign V866615 = V199289. assign V144513 = V802694. assign V558421 = V649185 - 1. assign V638028 = V542056. assign V600087 = V725411. assign V370967 = V481436 - 1. assign V267454 = V176664. assign V675576 = V966225 + 1. assign V636498 = V964085. assign V314528 = V442423 - 1. assign V469340 = V448598 - 1. assign V458691 = V382469 + 1. assign V415905 = V910969 + 1. assign V947828 = V802694 + 1. assign V649185 = V420767 + 1. assign V125241 = V972242 + 1. assign V842201 = 4. assign V028354 = V219635. assign V654885 = V725411. assign V868152 = V689405 + 1. assign V567507 = V253081 + 1. assign V964502 = V310957 + 1. assign V410173 = V483042 + 1. assign V137365 = V698947 + 1. assign V689405 = V119933. assign V045890 = V078726 + 1. assign V676861 = V683124 + 1. assign V422433 = V078726. assign V382469 = V340574. assign V283042 = V382469 - 1. assign V255743 = V340574 + 1. assign V815391 = V340574 - 1. assign V995963 = V694289 - 1. assign V620527 = V249285 + 1. assign V230108 = V422433 - 1. assign V871763 = V251484. assign V816907 = V382469. assign V075675 = V509453 - 1. assign V064112 = V302450 + 1. assign V680521 = V253081. assign V854530 = V420767. assign V199289 = V338551 - 1. assign V757869 = V448598 + 1. assign V901390 = V355879 + 1. assign V470534 = V816907 - 1. assign V814582 = V763039 + 1. assign V542056 = V887783 + 1. assign V642391 = V887783 + 1. assign V623027 = V809716 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV842201 = 4;\n\nFrom these direct assignment(s), we have: \nV005712 = V842201 - 1 = 4 - 1 =3;\nNo other variables can be derived from V005712;\nNo other variables can be derived from V842201;\n\nNow we have done all the calculations. Derived variables are:\nV842201 = 4;\nV005712 = 3;\n\nNow we have finished this problem. ANSWER:\nV842201\n", "role": "assistant" } ]

[ "V344803" ]

[ { "content": "<context>\nassign V707883 = V845049 - 1. assign V000953 = V324793. assign V220384 = V424996 - 1. assign V748191 = V253974. assign V596011 = V059161 + 1. assign V084972 = V168015. assign V451895 = V000953 - 1. assign V261409 = V229473 + 1. assign V785618 = V127267. assign V089693 = V387442 + 1. assign V704469 = V618163 - 1. assign V667808 = V211437 - 1. assign V125860 = V589999 + 1. assign V081104 = V210933 - 1. assign V531563 = V089693 - 1. assign V876687 = V651942 - 1. assign V324793 = V428011 + 1. assign V627725 = V707883. assign V150771 = V362371. assign V085148 = V428011 + 1. assign V008541 = V085148 + 1. assign V588853 = V149929 + 1. assign V936914 = V032317. assign V004464 = V483342. assign V473527 = V455448 - 1. assign V096672 = V386512 - 1. assign V932677 = V667808 + 1. assign V575624 = V417274 - 1. assign V965050 = V936914 + 1. assign V005707 = V116169 + 1. assign V387442 = V651942 + 1. assign V524049 = V596011 + 1. assign V456237 = V876687. assign V428011 = V211437 + 1. assign V083451 = V874808 - 1. assign V814008 = V886685 + 1. assign V904265 = V979155. assign V247438 = V464590. assign V740021 = V125860 - 1. assign V906174 = V032317. assign V001966 = V651942. assign V602684 = V150771 + 1. assign V312014 = V609036 - 1. assign V210933 = V573811. assign V751077 = V211437 - 1. assign V886685 = V573811 - 1. assign V116169 = V845049 - 1. assign V032317 = V651942. assign V715691 = V651942. assign V163428 = V211941. assign V248516 = V424996 - 1. assign V346373 = V417274. assign V041378 = V111900 - 1. assign V940218 = V194233. assign V483342 = V845049 + 1. assign V387470 = V845049 - 1. assign V326766 = V103765. assign V059161 = V651942 + 1. assign V308341 = V602684 + 1. assign V569832 = V386626. assign V731486 = V569832. assign V073979 = V424996 + 1. assign V896637 = V346373 + 1. assign V010533 = V383183 - 1. assign V931938 = V767741 + 1. assign V364607 = V229473 + 1. assign V651942 = V573811 + 1. assign V475250 = V261409 + 1. assign V163078 = V235002 + 1. assign V589999 = V320173 - 1. assign V103765 = V646963 - 1. assign V979155 = V163078 - 1. assign V239977 = V850852 + 1. assign V248675 = V253974. assign V819607 = V220384. assign V354935 = V032317 + 1. assign V457140 = V081104. assign V850852 = V247438 + 1. assign V646963 = V032317 - 1. assign V895797 = V576449 - 1. assign V891377 = V386626. assign V442424 = V344201 + 1. assign V660414 = V138506 - 1. assign V682988 = V464590. assign V216389 = V513721. assign V732258 = V073979 + 1. assign V211941 = V125860 - 1. assign V834747 = V886685 - 1. assign V725007 = V424996 + 1. assign V664716 = V464590. assign V386512 = V665221 + 1. assign V912564 = V480217 - 1. assign V224411 = V573811 - 1. assign V253974 = V032317 + 1. assign V229473 = V886685 - 1. assign V209689 = V383183 - 1. assign V957742 = V621565 + 1. assign V421607 = V438443. assign V513721 = V457140. assign V737377 = V370408 + 1. assign V306739 = V453329 + 1. assign V344803 = 5. assign V874808 = V660414. assign V609036 = V876687 + 1. assign V417274 = V111900 + 1. assign V383183 = V876687. assign V357114 = V248675 - 1. assign V704575 = V000953. assign V480217 = V370408. assign V621565 = V089693 + 1. assign V022592 = V886685 - 1. assign V935270 = V924447 - 1. assign V368249 = V667808 - 1. assign V992769 = V876687 + 1. assign V618163 = V417274 - 1. assign V370408 = V665221 - 1. assign V051299 = V370408. assign V464590 = V428011 + 1. assign V767741 = V751077 - 1. assign V593574 = V697092. assign V272255 = V513721. assign V723345 = V442424 + 1. assign V386626 = V886685 + 1. assign V457096 = V737377 - 1. assign V539345 = V814008 + 1. assign V149929 = V621565 + 1. assign V976904 = V834747 + 1. assign V697092 = V032317 - 1. assign V132676 = V456237. assign V709342 = V073979. assign V845019 = V819607. assign V138506 = V936914. assign V027926 = V212501 - 1. assign V111900 = V667808. assign V398587 = V344201 + 1. assign V957320 = V058308 + 1. assign V658198 = V906174 + 1. assign V127267 = V324793 - 1. assign V205008 = V819607. assign V235002 = V346373. assign V429940 = V665221 + 1. assign V093283 = V010533 + 1. assign V211437 = V573811 + 1. assign V665221 = V651942 + 1. assign V455448 = V697092 - 1. assign V771318 = V732258. assign V196174 = V751077 + 1. assign V576449 = V665221 - 1. assign V362371 = V438443 + 1. assign V924447 = V456237. assign V424996 = V573811 - 1. assign V885363 = V386512. assign V168015 = V480217 + 1. assign V438443 = V210933. assign V194233 = V737377 - 1. assign V892153 = V354935. assign V075106 = V073979 + 1. assign V212501 = V103765 + 1. assign V439527 = V344803 + 1. assign V344201 = V651942. assign V320173 = V751077 + 1. assign V661457 = V627725. assign V058308 = V212501 - 1. assign V745219 = V627725 - 1. assign V013596 = V442424 - 1. assign V988601 = V737377 - 1. assign V486134 = V248516. assign V331718 = V306739 - 1. assign V670788 = V312014 - 1. assign V453329 = V127267 + 1. assign V845049 = V417274 + 1. assign V534078 = V483342 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V707883 = V845049 - 1. assign V000953 = V324793. assign V220384 = V424996 - 1. assign V748191 = V253974. assign V596011 = V059161 + 1. assign V084972 = V168015. assign V451895 = V000953 - 1. assign V261409 = V229473 + 1. assign V785618 = V127267. assign V089693 = V387442 + 1. assign V704469 = V618163 - 1. assign V667808 = V211437 - 1. assign V125860 = V589999 + 1. assign V081104 = V210933 - 1. assign V531563 = V089693 - 1. assign V876687 = V651942 - 1. assign V324793 = V428011 + 1. assign V627725 = V707883. assign V150771 = V362371. assign V085148 = V428011 + 1. assign V008541 = V085148 + 1. assign V588853 = V149929 + 1. assign V936914 = V032317. assign V004464 = V483342. assign V473527 = V455448 - 1. assign V096672 = V386512 - 1. assign V932677 = V667808 + 1. assign V575624 = V417274 - 1. assign V965050 = V936914 + 1. assign V005707 = V116169 + 1. assign V387442 = V651942 + 1. assign V524049 = V596011 + 1. assign V456237 = V876687. assign V428011 = V211437 + 1. assign V083451 = V874808 - 1. assign V814008 = V886685 + 1. assign V904265 = V979155. assign V247438 = V464590. assign V740021 = V125860 - 1. assign V906174 = V032317. assign V001966 = V651942. assign V602684 = V150771 + 1. assign V312014 = V609036 - 1. assign V210933 = V573811. assign V751077 = V211437 - 1. assign V886685 = V573811 - 1. assign V116169 = V845049 - 1. assign V032317 = V651942. assign V715691 = V651942. assign V163428 = V211941. assign V248516 = V424996 - 1. assign V346373 = V417274. assign V041378 = V111900 - 1. assign V940218 = V194233. assign V483342 = V845049 + 1. assign V387470 = V845049 - 1. assign V326766 = V103765. assign V059161 = V651942 + 1. assign V308341 = V602684 + 1. assign V569832 = V386626. assign V731486 = V569832. assign V073979 = V424996 + 1. assign V896637 = V346373 + 1. assign V010533 = V383183 - 1. assign V931938 = V767741 + 1. assign V364607 = V229473 + 1. assign V651942 = V573811 + 1. assign V475250 = V261409 + 1. assign V163078 = V235002 + 1. assign V589999 = V320173 - 1. assign V103765 = V646963 - 1. assign V979155 = V163078 - 1. assign V239977 = V850852 + 1. assign V248675 = V253974. assign V819607 = V220384. assign V354935 = V032317 + 1. assign V457140 = V081104. assign V850852 = V247438 + 1. assign V646963 = V032317 - 1. assign V895797 = V576449 - 1. assign V891377 = V386626. assign V442424 = V344201 + 1. assign V660414 = V138506 - 1. assign V682988 = V464590. assign V216389 = V513721. assign V732258 = V073979 + 1. assign V211941 = V125860 - 1. assign V834747 = V886685 - 1. assign V725007 = V424996 + 1. assign V664716 = V464590. assign V386512 = V665221 + 1. assign V912564 = V480217 - 1. assign V224411 = V573811 - 1. assign V253974 = V032317 + 1. assign V229473 = V886685 - 1. assign V209689 = V383183 - 1. assign V957742 = V621565 + 1. assign V421607 = V438443. assign V513721 = V457140. assign V737377 = V370408 + 1. assign V306739 = V453329 + 1. assign V344803 = 5. assign V874808 = V660414. assign V609036 = V876687 + 1. assign V417274 = V111900 + 1. assign V383183 = V876687. assign V357114 = V248675 - 1. assign V704575 = V000953. assign V480217 = V370408. assign V621565 = V089693 + 1. assign V022592 = V886685 - 1. assign V935270 = V924447 - 1. assign V368249 = V667808 - 1. assign V992769 = V876687 + 1. assign V618163 = V417274 - 1. assign V370408 = V665221 - 1. assign V051299 = V370408. assign V464590 = V428011 + 1. assign V767741 = V751077 - 1. assign V593574 = V697092. assign V272255 = V513721. assign V723345 = V442424 + 1. assign V386626 = V886685 + 1. assign V457096 = V737377 - 1. assign V539345 = V814008 + 1. assign V149929 = V621565 + 1. assign V976904 = V834747 + 1. assign V697092 = V032317 - 1. assign V132676 = V456237. assign V709342 = V073979. assign V845019 = V819607. assign V138506 = V936914. assign V027926 = V212501 - 1. assign V111900 = V667808. assign V398587 = V344201 + 1. assign V957320 = V058308 + 1. assign V658198 = V906174 + 1. assign V127267 = V324793 - 1. assign V205008 = V819607. assign V235002 = V346373. assign V429940 = V665221 + 1. assign V093283 = V010533 + 1. assign V211437 = V573811 + 1. assign V665221 = V651942 + 1. assign V455448 = V697092 - 1. assign V771318 = V732258. assign V196174 = V751077 + 1. assign V576449 = V665221 - 1. assign V362371 = V438443 + 1. assign V924447 = V456237. assign V424996 = V573811 - 1. assign V885363 = V386512. assign V168015 = V480217 + 1. assign V438443 = V210933. assign V194233 = V737377 - 1. assign V892153 = V354935. assign V075106 = V073979 + 1. assign V212501 = V103765 + 1. assign V439527 = V344803 + 1. assign V344201 = V651942. assign V320173 = V751077 + 1. assign V661457 = V627725. assign V058308 = V212501 - 1. assign V745219 = V627725 - 1. assign V013596 = V442424 - 1. assign V988601 = V737377 - 1. assign V486134 = V248516. assign V331718 = V306739 - 1. assign V670788 = V312014 - 1. assign V453329 = V127267 + 1. assign V845049 = V417274 + 1. assign V534078 = V483342 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV344803 = 5;\n\nFrom these direct assignment(s), we have: \nV439527 = V344803 + 1 = 5 + 1 =6;\nNo other variables can be derived from V439527;\nNo other variables can be derived from V344803;\n\nNow we have done all the calculations. Derived variables are:\nV344803 = 5;\nV439527 = 6;\n\nNow we have finished this problem. ANSWER:\nV344803\n", "role": "assistant" } ]

[ "V337775", "V566815" ]

[ { "content": "<context>\nassign V924364 = V353229 + 1. assign V174406 = V943282. assign V530609 = V404022. assign V400199 = V957796 + 1. assign V679470 = V633474 - 1. assign V954391 = V609875. assign V111965 = V542907. assign V464599 = V040864 - 1. assign V005388 = V139650 - 1. assign V688844 = V659073. assign V821863 = V153150. assign V212136 = V046719 + 1. assign V355251 = V153150. assign V904979 = V088000 + 1. assign V812092 = V353229 - 1. assign V947391 = V153150. assign V409000 = V872846 - 1. assign V991851 = V923395 - 1. assign V873117 = V647803 + 1. assign V732673 = V659073 - 1. assign V943282 = V808963. assign V786447 = V244729 - 1. assign V345783 = V321240 + 1. assign V353229 = V764817 + 1. assign V957796 = V355251. assign V866041 = V407299 - 1. assign V445578 = V923395 - 1. assign V825713 = V464599. assign V764817 = V843321 - 1. assign V293322 = V633474 - 1. assign V191241 = V947391 + 1. assign V595808 = V927944 - 1. assign V690519 = V519386. assign V164793 = V020407 - 1. assign V861084 = V510793 + 1. assign V001006 = V153150 - 1. assign V040864 = V001006 - 1. assign V054621 = V904979 + 1. assign V722364 = V139650 + 1. assign V808963 = V001006 - 1. assign V589115 = V679470 + 1. assign V848611 = V703407. assign V491616 = V330593 - 1. assign V789667 = V509884 + 1. assign V007300 = V609875 - 1. assign V132495 = V873117 + 1. assign V144336 = V904979 - 1. assign V771436 = V609875. assign V979845 = V378986 + 1. assign V548435 = V861084 - 1. assign V404022 = V764817. assign V532272 = V407299 - 1. assign V911002 = V427832 - 1. assign V085993 = V321240 - 1. assign V199333 = V509884 + 1. assign V337775 = 7. assign V218711 = V579378. assign V028085 = V570281 + 1. assign V131050 = V378986 - 1. assign V614740 = V786447 + 1. assign V105813 = V199333 - 1. assign V566815 = V337775. assign V428910 = V843321 - 1. assign V498365 = V040864. assign V494155 = V808963. assign V842570 = V548435 + 1. assign V201840 = V552059 + 1. assign V052443 = V848611 - 1. assign V659073 = V510793 - 1. assign V086508 = V035845. assign V540230 = V548435. assign V579532 = V428910 - 1. assign V602258 = V491616 + 1. assign V827120 = V075643. assign V923395 = V943282 - 1. assign V075643 = V679470. assign V217899 = V510793 - 1. assign V696698 = V737663. assign V708351 = V046719 + 1. assign V621001 = V979845 + 1. assign V849360 = V131050 + 1. assign V262451 = V355251. assign V570281 = V153150 - 1. assign V584944 = V001006. assign V615316 = V494155 - 1. assign V088000 = V510793 + 1. assign V579756 = V548435 - 1. assign V216334 = V947391 - 1. assign V609875 = V148153 + 1. assign V202035 = V943282 + 1. assign V552059 = V025552. assign V789152 = V040864 - 1. assign V509884 = V873117 - 1. assign V328493 = V764817 + 1. assign V635660 = V828780 - 1. assign V386193 = V353229. assign V556065 = V355251 + 1. assign V165026 = V409000 + 1. assign V139650 = V510793 - 1. assign V354377 = V024235. assign V272460 = V172426 - 1. assign V972978 = V596112. assign V563054 = V020407 - 1. assign V743787 = V806895 + 1. assign V519386 = V428910 + 1. assign V399646 = V088000 + 1. assign V633474 = V024235 - 1. assign V799153 = V923395 - 1. assign V938341 = V825713 - 1. assign V870978 = V509884 + 1. assign V599168 = V843321 + 1. assign V407299 = V509884 + 1. assign V542907 = V164793 - 1. assign V847788 = V353229. assign V536024 = V035845 - 1. assign V046719 = V153150. assign V655654 = V024235. assign V321240 = V843321 + 1. assign V299607 = V821863. assign V579378 = V054621 - 1. assign V330843 = V498365. assign V927944 = V330593. assign V362316 = V873117. assign V517179 = V293322 - 1. assign V831995 = V579378. assign V934841 = V353229. assign V378986 = V843321. assign V737663 = V165026 - 1. assign V806895 = V509884 - 1. assign V773528 = V330593. assign V132040 = V330593. assign V220616 = V139650. assign V090741 = V005388. assign V427832 = V773528 - 1. assign V596112 = V040864 + 1. assign V319904 = V174406 - 1. assign V628388 = V331391 - 1. assign V422547 = V007300 + 1. assign V872846 = V957796 - 1. assign V510793 = V153150 + 1. assign V486207 = V164793 + 1. assign V174387 = V596112 + 1. assign V594882 = V938341 + 1. assign V852973 = V427832 - 1. assign V658280 = V542907. assign V024235 = V647803. assign V020407 = V843321 + 1. assign V048690 = V806895 + 1. assign V312212 = V647803. assign V535223 = V427832. assign V148153 = V584944. assign V590648 = V548435 + 1. assign V452299 = V655654. assign V703407 = V806895. assign V930317 = V131050 + 1. assign V675334 = V354377 + 1. assign V330593 = V088000. assign V035845 = V873117 + 1. assign V645466 = V843321. assign V828780 = V355251 + 1. assign V260878 = V509884 - 1. assign V910926 = V086508 + 1. assign V197501 = V132495 - 1. assign V647803 = V040864 - 1. assign V843321 = V040864. assign V513720 = V536024. assign V353951 = V658280. assign V331391 = V202035. assign V025552 = V407299 + 1. assign V887656 = V548435. assign V244729 = V972978. assign V172426 = V773528 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V924364 = V353229 + 1. assign V174406 = V943282. assign V530609 = V404022. assign V400199 = V957796 + 1. assign V679470 = V633474 - 1. assign V954391 = V609875. assign V111965 = V542907. assign V464599 = V040864 - 1. assign V005388 = V139650 - 1. assign V688844 = V659073. assign V821863 = V153150. assign V212136 = V046719 + 1. assign V355251 = V153150. assign V904979 = V088000 + 1. assign V812092 = V353229 - 1. assign V947391 = V153150. assign V409000 = V872846 - 1. assign V991851 = V923395 - 1. assign V873117 = V647803 + 1. assign V732673 = V659073 - 1. assign V943282 = V808963. assign V786447 = V244729 - 1. assign V345783 = V321240 + 1. assign V353229 = V764817 + 1. assign V957796 = V355251. assign V866041 = V407299 - 1. assign V445578 = V923395 - 1. assign V825713 = V464599. assign V764817 = V843321 - 1. assign V293322 = V633474 - 1. assign V191241 = V947391 + 1. assign V595808 = V927944 - 1. assign V690519 = V519386. assign V164793 = V020407 - 1. assign V861084 = V510793 + 1. assign V001006 = V153150 - 1. assign V040864 = V001006 - 1. assign V054621 = V904979 + 1. assign V722364 = V139650 + 1. assign V808963 = V001006 - 1. assign V589115 = V679470 + 1. assign V848611 = V703407. assign V491616 = V330593 - 1. assign V789667 = V509884 + 1. assign V007300 = V609875 - 1. assign V132495 = V873117 + 1. assign V144336 = V904979 - 1. assign V771436 = V609875. assign V979845 = V378986 + 1. assign V548435 = V861084 - 1. assign V404022 = V764817. assign V532272 = V407299 - 1. assign V911002 = V427832 - 1. assign V085993 = V321240 - 1. assign V199333 = V509884 + 1. assign V337775 = 7. assign V218711 = V579378. assign V028085 = V570281 + 1. assign V131050 = V378986 - 1. assign V614740 = V786447 + 1. assign V105813 = V199333 - 1. assign V566815 = V337775. assign V428910 = V843321 - 1. assign V498365 = V040864. assign V494155 = V808963. assign V842570 = V548435 + 1. assign V201840 = V552059 + 1. assign V052443 = V848611 - 1. assign V659073 = V510793 - 1. assign V086508 = V035845. assign V540230 = V548435. assign V579532 = V428910 - 1. assign V602258 = V491616 + 1. assign V827120 = V075643. assign V923395 = V943282 - 1. assign V075643 = V679470. assign V217899 = V510793 - 1. assign V696698 = V737663. assign V708351 = V046719 + 1. assign V621001 = V979845 + 1. assign V849360 = V131050 + 1. assign V262451 = V355251. assign V570281 = V153150 - 1. assign V584944 = V001006. assign V615316 = V494155 - 1. assign V088000 = V510793 + 1. assign V579756 = V548435 - 1. assign V216334 = V947391 - 1. assign V609875 = V148153 + 1. assign V202035 = V943282 + 1. assign V552059 = V025552. assign V789152 = V040864 - 1. assign V509884 = V873117 - 1. assign V328493 = V764817 + 1. assign V635660 = V828780 - 1. assign V386193 = V353229. assign V556065 = V355251 + 1. assign V165026 = V409000 + 1. assign V139650 = V510793 - 1. assign V354377 = V024235. assign V272460 = V172426 - 1. assign V972978 = V596112. assign V563054 = V020407 - 1. assign V743787 = V806895 + 1. assign V519386 = V428910 + 1. assign V399646 = V088000 + 1. assign V633474 = V024235 - 1. assign V799153 = V923395 - 1. assign V938341 = V825713 - 1. assign V870978 = V509884 + 1. assign V599168 = V843321 + 1. assign V407299 = V509884 + 1. assign V542907 = V164793 - 1. assign V847788 = V353229. assign V536024 = V035845 - 1. assign V046719 = V153150. assign V655654 = V024235. assign V321240 = V843321 + 1. assign V299607 = V821863. assign V579378 = V054621 - 1. assign V330843 = V498365. assign V927944 = V330593. assign V362316 = V873117. assign V517179 = V293322 - 1. assign V831995 = V579378. assign V934841 = V353229. assign V378986 = V843321. assign V737663 = V165026 - 1. assign V806895 = V509884 - 1. assign V773528 = V330593. assign V132040 = V330593. assign V220616 = V139650. assign V090741 = V005388. assign V427832 = V773528 - 1. assign V596112 = V040864 + 1. assign V319904 = V174406 - 1. assign V628388 = V331391 - 1. assign V422547 = V007300 + 1. assign V872846 = V957796 - 1. assign V510793 = V153150 + 1. assign V486207 = V164793 + 1. assign V174387 = V596112 + 1. assign V594882 = V938341 + 1. assign V852973 = V427832 - 1. assign V658280 = V542907. assign V024235 = V647803. assign V020407 = V843321 + 1. assign V048690 = V806895 + 1. assign V312212 = V647803. assign V535223 = V427832. assign V148153 = V584944. assign V590648 = V548435 + 1. assign V452299 = V655654. assign V703407 = V806895. assign V930317 = V131050 + 1. assign V675334 = V354377 + 1. assign V330593 = V088000. assign V035845 = V873117 + 1. assign V645466 = V843321. assign V828780 = V355251 + 1. assign V260878 = V509884 - 1. assign V910926 = V086508 + 1. assign V197501 = V132495 - 1. assign V647803 = V040864 - 1. assign V843321 = V040864. assign V513720 = V536024. assign V353951 = V658280. assign V331391 = V202035. assign V025552 = V407299 + 1. assign V887656 = V548435. assign V244729 = V972978. assign V172426 = V773528 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV337775 = 7;\n\nFrom these direct assignment(s), we have: \nV566815 = V337775 = 7;\nNo other variables can be derived from V566815;\nNo other variables can be derived from V337775;\n\nNow we have done all the calculations. Derived variables are:\nV337775 = 7;\nV566815 = 7;\n\nNow we have finished this problem. ANSWER:\nV337775, V566815\n", "role": "assistant" } ]

[ "V391140" ]

[ { "content": "<context>\nassign V691550 = V312727. assign V053341 = V100204. assign V871999 = V936291 - 1. assign V503890 = V319436. assign V121415 = V834811 + 1. assign V121335 = V059119 - 1. assign V742431 = V374281. assign V029902 = V734393 - 1. assign V604844 = V504459 - 1. assign V936291 = V834811 + 1. assign V177186 = V320221 - 1. assign V764166 = V963569. assign V781834 = V320221 - 1. assign V929672 = V734393 - 1. assign V493282 = V476620 + 1. assign V013498 = V015805 + 1. assign V734393 = V503858 + 1. assign V630917 = V973909 + 1. assign V197026 = V390457 - 1. assign V617916 = V312727 - 1. assign V843780 = V319436 - 1. assign V242032 = V230798 - 1. assign V326289 = V440857. assign V459707 = V352498. assign V158688 = V130056. assign V798485 = V641209 - 1. assign V067812 = V553323 + 1. assign V929040 = V734609 + 1. assign V352498 = V059119. assign V506850 = V504459 - 1. assign V476839 = V978887 - 1. assign V147998 = V626881. assign V391140 = 6. assign V100204 = V183010 - 1. assign V205110 = V374281 - 1. assign V181111 = V788308. assign V754948 = V552183. assign V892242 = V963569 - 1. assign V655654 = V059119 - 1. assign V871101 = V806153. assign V797899 = V231452 + 1. assign V491326 = V490529 - 1. assign V841105 = V015805. assign V681595 = V805113 - 1. assign V636477 = V806153. assign V971820 = V393624 - 1. assign V464023 = V598604 + 1. assign V641209 = V563916 + 1. assign V256993 = V843780 - 1. assign V553323 = V942239 - 1. assign V245799 = V614905 - 1. assign V440857 = V691550 - 1. assign V490529 = V352498 - 1. assign V973909 = V552183 - 1. assign V788308 = V026285. assign V483274 = V949018 - 1. assign V287116 = V352498. assign V972308 = V059119 - 1. assign V369792 = V352498 - 1. assign V019059 = V506850. assign V757133 = V242032 + 1. assign V564158 = V319286 + 1. assign V325275 = V681595 - 1. assign V006150 = V956596. assign V030431 = V347798. assign V833274 = V788308 + 1. assign V319436 = V949018 + 1. assign V283596 = V788308 - 1. assign V362254 = V552183 + 1. assign V978887 = V059119 + 1. assign V452232 = V636477 + 1. assign V236687 = V834811 - 1. assign V521427 = V158688. assign V837768 = V026285 - 1. assign V971892 = V908181. assign V630155 = V503858. assign V570970 = V841105. assign V512825 = V452232. assign V072888 = V390457 + 1. assign V666521 = V806153. assign V859823 = V506850 - 1. assign V797765 = V181464 - 1. assign V069352 = V459707. assign V834811 = V100204. assign V804881 = V230798 - 1. assign V734609 = V963569 + 1. assign V532506 = V238351. assign V999186 = V347798 + 1. assign V457776 = V570970 + 1. assign V320221 = V312727 - 1. assign V320997 = V347798. assign V796453 = V452232 - 1. assign V598604 = V236283 - 1. assign V954860 = V804881 + 1. assign V238351 = V630155 + 1. assign V778245 = V175050 - 1. assign V339439 = V319286 - 1. assign V157127 = V788308 - 1. assign V015805 = V130056 + 1. assign V071135 = V963569 - 1. assign V183010 = V287116 + 1. assign V998478 = V949018 - 1. assign V504459 = V942239 + 1. assign V181464 = V553323 - 1. assign V424707 = V929672. assign V231452 = V523194 + 1. assign V503858 = V806153 - 1. assign V487047 = V655654 - 1. assign V982388 = V085917. assign V393872 = V390457 - 1. assign V699595 = V175050. assign V563916 = V312727 + 1. assign V180243 = V242032 - 1. assign V130056 = V823636 - 1. assign V085917 = V015805. assign V807866 = V876761 - 1. assign V552183 = V059119. assign V806153 = V352498 + 1. assign V523194 = V452232 - 1. assign V158481 = V391140 - 1. assign V248466 = V949018 - 1. assign V722070 = V457776 - 1. assign V230798 = V352498 + 1. assign V167316 = V630155. assign V238810 = V369792 - 1. assign V984836 = V352498 + 1. assign V475934 = V754948 - 1. assign V743212 = V742431 - 1. assign V890159 = V512825. assign V626881 = V283596. assign V762567 = V984836 - 1. assign V047996 = V982388. assign V362105 = V636477. assign V390457 = V504459 - 1. assign V876761 = V804881 + 1. assign V312727 = V490529 + 1. assign V533249 = V949018. assign V956596 = V183010. assign V858859 = V641209 + 1. assign V355782 = V019059. assign V026285 = V121335 + 1. assign V919211 = V804881 - 1. assign V581790 = V504459 + 1. assign V425481 = V287116 - 1. assign V078083 = V167316 - 1. assign V496254 = V491326. assign V319286 = V319436 - 1. assign V614905 = V369792. assign V942239 = V459707 - 1. assign V236283 = V552183 - 1. assign V949018 = V806153 + 1. assign V564150 = V347798 + 1. assign V374281 = V362105. assign V313003 = V369792. assign V270391 = V504459 - 1. assign V791319 = V963569. assign V476620 = V998478. assign V963569 = V978887 + 1. assign V347798 = V978887 + 1. assign V790458 = V598604 + 1. assign V823636 = V459707. assign V805113 = V175050. assign V543958 = V617916. assign V175050 = V352498. assign V757640 = V493282 + 1. assign V908181 = V523194 + 1. assign V750992 = V564158 - 1. assign V566600 = V841105 - 1. assign V927679 = V973909. assign V393624 = V347798 - 1. assign V506201 = V287116 + 1. assign V120740 = V362105.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V691550 = V312727. assign V053341 = V100204. assign V871999 = V936291 - 1. assign V503890 = V319436. assign V121415 = V834811 + 1. assign V121335 = V059119 - 1. assign V742431 = V374281. assign V029902 = V734393 - 1. assign V604844 = V504459 - 1. assign V936291 = V834811 + 1. assign V177186 = V320221 - 1. assign V764166 = V963569. assign V781834 = V320221 - 1. assign V929672 = V734393 - 1. assign V493282 = V476620 + 1. assign V013498 = V015805 + 1. assign V734393 = V503858 + 1. assign V630917 = V973909 + 1. assign V197026 = V390457 - 1. assign V617916 = V312727 - 1. assign V843780 = V319436 - 1. assign V242032 = V230798 - 1. assign V326289 = V440857. assign V459707 = V352498. assign V158688 = V130056. assign V798485 = V641209 - 1. assign V067812 = V553323 + 1. assign V929040 = V734609 + 1. assign V352498 = V059119. assign V506850 = V504459 - 1. assign V476839 = V978887 - 1. assign V147998 = V626881. assign V391140 = 6. assign V100204 = V183010 - 1. assign V205110 = V374281 - 1. assign V181111 = V788308. assign V754948 = V552183. assign V892242 = V963569 - 1. assign V655654 = V059119 - 1. assign V871101 = V806153. assign V797899 = V231452 + 1. assign V491326 = V490529 - 1. assign V841105 = V015805. assign V681595 = V805113 - 1. assign V636477 = V806153. assign V971820 = V393624 - 1. assign V464023 = V598604 + 1. assign V641209 = V563916 + 1. assign V256993 = V843780 - 1. assign V553323 = V942239 - 1. assign V245799 = V614905 - 1. assign V440857 = V691550 - 1. assign V490529 = V352498 - 1. assign V973909 = V552183 - 1. assign V788308 = V026285. assign V483274 = V949018 - 1. assign V287116 = V352498. assign V972308 = V059119 - 1. assign V369792 = V352498 - 1. assign V019059 = V506850. assign V757133 = V242032 + 1. assign V564158 = V319286 + 1. assign V325275 = V681595 - 1. assign V006150 = V956596. assign V030431 = V347798. assign V833274 = V788308 + 1. assign V319436 = V949018 + 1. assign V283596 = V788308 - 1. assign V362254 = V552183 + 1. assign V978887 = V059119 + 1. assign V452232 = V636477 + 1. assign V236687 = V834811 - 1. assign V521427 = V158688. assign V837768 = V026285 - 1. assign V971892 = V908181. assign V630155 = V503858. assign V570970 = V841105. assign V512825 = V452232. assign V072888 = V390457 + 1. assign V666521 = V806153. assign V859823 = V506850 - 1. assign V797765 = V181464 - 1. assign V069352 = V459707. assign V834811 = V100204. assign V804881 = V230798 - 1. assign V734609 = V963569 + 1. assign V532506 = V238351. assign V999186 = V347798 + 1. assign V457776 = V570970 + 1. assign V320221 = V312727 - 1. assign V320997 = V347798. assign V796453 = V452232 - 1. assign V598604 = V236283 - 1. assign V954860 = V804881 + 1. assign V238351 = V630155 + 1. assign V778245 = V175050 - 1. assign V339439 = V319286 - 1. assign V157127 = V788308 - 1. assign V015805 = V130056 + 1. assign V071135 = V963569 - 1. assign V183010 = V287116 + 1. assign V998478 = V949018 - 1. assign V504459 = V942239 + 1. assign V181464 = V553323 - 1. assign V424707 = V929672. assign V231452 = V523194 + 1. assign V503858 = V806153 - 1. assign V487047 = V655654 - 1. assign V982388 = V085917. assign V393872 = V390457 - 1. assign V699595 = V175050. assign V563916 = V312727 + 1. assign V180243 = V242032 - 1. assign V130056 = V823636 - 1. assign V085917 = V015805. assign V807866 = V876761 - 1. assign V552183 = V059119. assign V806153 = V352498 + 1. assign V523194 = V452232 - 1. assign V158481 = V391140 - 1. assign V248466 = V949018 - 1. assign V722070 = V457776 - 1. assign V230798 = V352498 + 1. assign V167316 = V630155. assign V238810 = V369792 - 1. assign V984836 = V352498 + 1. assign V475934 = V754948 - 1. assign V743212 = V742431 - 1. assign V890159 = V512825. assign V626881 = V283596. assign V762567 = V984836 - 1. assign V047996 = V982388. assign V362105 = V636477. assign V390457 = V504459 - 1. assign V876761 = V804881 + 1. assign V312727 = V490529 + 1. assign V533249 = V949018. assign V956596 = V183010. assign V858859 = V641209 + 1. assign V355782 = V019059. assign V026285 = V121335 + 1. assign V919211 = V804881 - 1. assign V581790 = V504459 + 1. assign V425481 = V287116 - 1. assign V078083 = V167316 - 1. assign V496254 = V491326. assign V319286 = V319436 - 1. assign V614905 = V369792. assign V942239 = V459707 - 1. assign V236283 = V552183 - 1. assign V949018 = V806153 + 1. assign V564150 = V347798 + 1. assign V374281 = V362105. assign V313003 = V369792. assign V270391 = V504459 - 1. assign V791319 = V963569. assign V476620 = V998478. assign V963569 = V978887 + 1. assign V347798 = V978887 + 1. assign V790458 = V598604 + 1. assign V823636 = V459707. assign V805113 = V175050. assign V543958 = V617916. assign V175050 = V352498. assign V757640 = V493282 + 1. assign V908181 = V523194 + 1. assign V750992 = V564158 - 1. assign V566600 = V841105 - 1. assign V927679 = V973909. assign V393624 = V347798 - 1. assign V506201 = V287116 + 1. assign V120740 = V362105.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV391140 = 6;\n\nFrom these direct assignment(s), we have: \nV158481 = V391140 - 1 = 6 - 1 =5;\nNo other variables can be derived from V158481;\nNo other variables can be derived from V391140;\n\nNow we have done all the calculations. Derived variables are:\nV391140 = 6;\nV158481 = 5;\n\nNow we have finished this problem. ANSWER:\nV391140\n", "role": "assistant" } ]

[ "V318320" ]

[ { "content": "<context>\nassign V698703 = V857167 + 1. assign V040396 = V802160. assign V371525 = V250099 + 1. assign V048327 = V987844 + 1. assign V633919 = V211106 - 1. assign V717570 = V495921 - 1. assign V987844 = V692270 - 1. assign V390584 = V317817. assign V045981 = V138108 + 1. assign V509058 = V187508 - 1. assign V303601 = V775629 - 1. assign V594193 = V899907. assign V937585 = V390584 + 1. assign V969092 = V570209 - 1. assign V236056 = V679591 + 1. assign V007933 = V461567 + 1. assign V211106 = V105470 + 1. assign V230485 = V187298. assign V574214 = V409444 - 1. assign V899907 = V136226. assign V078684 = V128768 - 1. assign V180681 = V187508 - 1. assign V315101 = V325855 + 1. assign V422098 = V841466 - 1. assign V519003 = V495921 + 1. assign V722581 = V692270 + 1. assign V841075 = V405803 - 1. assign V031352 = V078684 - 1. assign V124099 = V987844 + 1. assign V226110 = V773953 + 1. assign V475276 = V236056 + 1. assign V289196 = V987844. assign V752405 = V386767 + 1. assign V513080 = V509058 - 1. assign V775629 = V195912 + 1. assign V187508 = V095794 + 1. assign V998809 = V317817 - 1. assign V265607 = V588001 + 1. assign V195912 = V717570 + 1. assign V179560 = V201780 - 1. assign V187298 = V409444 + 1. assign V679591 = V841075 - 1. assign V821978 = V816051 - 1. assign V249029 = V226110. assign V713569 = V031352 + 1. assign V201780 = V773953. assign V472186 = V841466 - 1. assign V258576 = V978016 - 1. assign V688758 = V316609 - 1. assign V135414 = V605987. assign V042976 = V519003 - 1. assign V570524 = V178313. assign V975386 = V226110. assign V325855 = V588001. assign V536643 = V773953 + 1. assign V816051 = V331741. assign V010496 = V773953 + 1. assign V551575 = V574214 + 1. assign V317817 = V409444 + 1. assign V420154 = V588001 + 1. assign V012100 = V262017 - 1. assign V525118 = V978016 - 1. assign V386767 = V201780 + 1. assign V807356 = V509058 + 1. assign V352433 = V801582 - 1. assign V289152 = V857167 + 1. assign V104114 = V927158 - 1. assign V762913 = V837692 + 1. assign V675598 = V674907. assign V069156 = V320635 + 1. assign V451423 = V226110 + 1. assign V250099 = V317817. assign V837692 = V324233 + 1. assign V596727 = V249029 - 1. assign V019163 = V409444. assign V871105 = V475276. assign V933417 = V249029 - 1. assign V136226 = V409444 - 1. assign V818842 = V841466 - 1. assign V271583 = V801582 + 1. assign V056150 = V200821. assign V320635 = V801582. assign V387267 = V320635. assign V531336 = V250804. assign V786604 = V617676 - 1. assign V490959 = V519003 - 1. assign V313407 = V587272. assign V921592 = V533291 + 1. assign V409444 = V773953. assign V692270 = V226110. assign V331251 = V086783. assign V401420 = 3. assign V524019 = V201780 + 1. assign V432911 = V371525 - 1. assign V825122 = V135414 - 1. assign V935915 = V187298 - 1. assign V405803 = V933417. assign V489914 = V588001. assign V773953 = V078684 + 1. assign V406217 = V786604 + 1. assign V318320 = V401420 - 1. assign V801582 = V773953 - 1. assign V605987 = V472102. assign V570209 = V773953 - 1. assign V587272 = V807356 - 1. assign V262501 = V475276. assign V338534 = V773953 + 1. assign V105470 = V773953 - 1. assign V519975 = V031352 + 1. assign V982192 = V495921. assign V849228 = V475276 + 1. assign V278048 = V249029 + 1. assign V128276 = V998809 - 1. assign V200821 = V288702 + 1. assign V443784 = V927158 - 1. assign V429729 = V250099 + 1. assign V178313 = V105470. assign V316609 = V692270. assign V472102 = V596727. assign V120998 = V069156. assign V496904 = V138108 + 1. assign V250804 = V688758 + 1. assign V138108 = V574214. assign V723218 = V728578 + 1. assign V157308 = V617676 + 1. assign V823928 = V536643 + 1. assign V978016 = V723218 + 1. assign V789376 = V688758. assign V203189 = V570209 + 1. assign V203867 = V144757 - 1. assign V495921 = V136226 + 1. assign V624410 = V387267 + 1. assign V179865 = V031352 + 1. assign V288702 = V927158. assign V683911 = V138108 + 1. assign V409569 = V496904. assign V726198 = V366593. assign V841466 = V288702 + 1. assign V132023 = V801582. assign V359839 = V390584 + 1. assign V257102 = V187298 + 1. assign V927158 = V495921 - 1. assign V001985 = V031352 + 1. assign V144757 = V203189 - 1. assign V284873 = V324233. assign V584489 = V683911 - 1. assign V262017 = V359839. assign V461567 = V230485. assign V426279 = V316609 + 1. assign V857167 = V078684 - 1. assign V242524 = V490959. assign V103836 = V588001 + 1. assign V674907 = V359839 + 1. assign V030015 = V633919 + 1. assign V533291 = V195912 + 1. assign V728578 = V095794 + 1. assign V086783 = V409444 - 1. assign V095794 = V570209 + 1. assign V588001 = V128768 - 1. assign V946297 = V839799. assign V504836 = V987844 - 1. assign V074655 = V136226. assign V802160 = V105470 + 1. assign V580954 = V675598 - 1. assign V920810 = V490959 + 1. assign V366593 = V195912 - 1. assign V964870 = V786604 + 1. assign V324233 = V987844 + 1. assign V331741 = V352433 - 1. assign V617676 = V409444 + 1. assign V839799 = V802160. assign V433398 = V178313.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V698703 = V857167 + 1. assign V040396 = V802160. assign V371525 = V250099 + 1. assign V048327 = V987844 + 1. assign V633919 = V211106 - 1. assign V717570 = V495921 - 1. assign V987844 = V692270 - 1. assign V390584 = V317817. assign V045981 = V138108 + 1. assign V509058 = V187508 - 1. assign V303601 = V775629 - 1. assign V594193 = V899907. assign V937585 = V390584 + 1. assign V969092 = V570209 - 1. assign V236056 = V679591 + 1. assign V007933 = V461567 + 1. assign V211106 = V105470 + 1. assign V230485 = V187298. assign V574214 = V409444 - 1. assign V899907 = V136226. assign V078684 = V128768 - 1. assign V180681 = V187508 - 1. assign V315101 = V325855 + 1. assign V422098 = V841466 - 1. assign V519003 = V495921 + 1. assign V722581 = V692270 + 1. assign V841075 = V405803 - 1. assign V031352 = V078684 - 1. assign V124099 = V987844 + 1. assign V226110 = V773953 + 1. assign V475276 = V236056 + 1. assign V289196 = V987844. assign V752405 = V386767 + 1. assign V513080 = V509058 - 1. assign V775629 = V195912 + 1. assign V187508 = V095794 + 1. assign V998809 = V317817 - 1. assign V265607 = V588001 + 1. assign V195912 = V717570 + 1. assign V179560 = V201780 - 1. assign V187298 = V409444 + 1. assign V679591 = V841075 - 1. assign V821978 = V816051 - 1. assign V249029 = V226110. assign V713569 = V031352 + 1. assign V201780 = V773953. assign V472186 = V841466 - 1. assign V258576 = V978016 - 1. assign V688758 = V316609 - 1. assign V135414 = V605987. assign V042976 = V519003 - 1. assign V570524 = V178313. assign V975386 = V226110. assign V325855 = V588001. assign V536643 = V773953 + 1. assign V816051 = V331741. assign V010496 = V773953 + 1. assign V551575 = V574214 + 1. assign V317817 = V409444 + 1. assign V420154 = V588001 + 1. assign V012100 = V262017 - 1. assign V525118 = V978016 - 1. assign V386767 = V201780 + 1. assign V807356 = V509058 + 1. assign V352433 = V801582 - 1. assign V289152 = V857167 + 1. assign V104114 = V927158 - 1. assign V762913 = V837692 + 1. assign V675598 = V674907. assign V069156 = V320635 + 1. assign V451423 = V226110 + 1. assign V250099 = V317817. assign V837692 = V324233 + 1. assign V596727 = V249029 - 1. assign V019163 = V409444. assign V871105 = V475276. assign V933417 = V249029 - 1. assign V136226 = V409444 - 1. assign V818842 = V841466 - 1. assign V271583 = V801582 + 1. assign V056150 = V200821. assign V320635 = V801582. assign V387267 = V320635. assign V531336 = V250804. assign V786604 = V617676 - 1. assign V490959 = V519003 - 1. assign V313407 = V587272. assign V921592 = V533291 + 1. assign V409444 = V773953. assign V692270 = V226110. assign V331251 = V086783. assign V401420 = 3. assign V524019 = V201780 + 1. assign V432911 = V371525 - 1. assign V825122 = V135414 - 1. assign V935915 = V187298 - 1. assign V405803 = V933417. assign V489914 = V588001. assign V773953 = V078684 + 1. assign V406217 = V786604 + 1. assign V318320 = V401420 - 1. assign V801582 = V773953 - 1. assign V605987 = V472102. assign V570209 = V773953 - 1. assign V587272 = V807356 - 1. assign V262501 = V475276. assign V338534 = V773953 + 1. assign V105470 = V773953 - 1. assign V519975 = V031352 + 1. assign V982192 = V495921. assign V849228 = V475276 + 1. assign V278048 = V249029 + 1. assign V128276 = V998809 - 1. assign V200821 = V288702 + 1. assign V443784 = V927158 - 1. assign V429729 = V250099 + 1. assign V178313 = V105470. assign V316609 = V692270. assign V472102 = V596727. assign V120998 = V069156. assign V496904 = V138108 + 1. assign V250804 = V688758 + 1. assign V138108 = V574214. assign V723218 = V728578 + 1. assign V157308 = V617676 + 1. assign V823928 = V536643 + 1. assign V978016 = V723218 + 1. assign V789376 = V688758. assign V203189 = V570209 + 1. assign V203867 = V144757 - 1. assign V495921 = V136226 + 1. assign V624410 = V387267 + 1. assign V179865 = V031352 + 1. assign V288702 = V927158. assign V683911 = V138108 + 1. assign V409569 = V496904. assign V726198 = V366593. assign V841466 = V288702 + 1. assign V132023 = V801582. assign V359839 = V390584 + 1. assign V257102 = V187298 + 1. assign V927158 = V495921 - 1. assign V001985 = V031352 + 1. assign V144757 = V203189 - 1. assign V284873 = V324233. assign V584489 = V683911 - 1. assign V262017 = V359839. assign V461567 = V230485. assign V426279 = V316609 + 1. assign V857167 = V078684 - 1. assign V242524 = V490959. assign V103836 = V588001 + 1. assign V674907 = V359839 + 1. assign V030015 = V633919 + 1. assign V533291 = V195912 + 1. assign V728578 = V095794 + 1. assign V086783 = V409444 - 1. assign V095794 = V570209 + 1. assign V588001 = V128768 - 1. assign V946297 = V839799. assign V504836 = V987844 - 1. assign V074655 = V136226. assign V802160 = V105470 + 1. assign V580954 = V675598 - 1. assign V920810 = V490959 + 1. assign V366593 = V195912 - 1. assign V964870 = V786604 + 1. assign V324233 = V987844 + 1. assign V331741 = V352433 - 1. assign V617676 = V409444 + 1. assign V839799 = V802160. assign V433398 = V178313.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV401420 = 3;\n\nFrom these direct assignment(s), we have: \nV318320 = V401420 - 1 = 3 - 1 =2;\nNo other variables can be derived from V318320;\nNo other variables can be derived from V401420;\n\nNow we have done all the calculations. Derived variables are:\nV401420 = 3;\nV318320 = 2;\n\nNow we have finished this problem. ANSWER:\nV318320\n", "role": "assistant" } ]

[ "V912353" ]

[ { "content": "<context>\nassign V383597 = V685823 - 1. assign V912353 = V052300 - 1. assign V642089 = V308282. assign V377666 = V874374 + 1. assign V564845 = V121590 + 1. assign V743976 = V663185 - 1. assign V814934 = V805858 - 1. assign V615638 = V539478 - 1. assign V788782 = V029156 - 1. assign V081074 = V814934 + 1. assign V143570 = V575388. assign V425430 = V861003. assign V183406 = V026968 + 1. assign V874374 = V122009 + 1. assign V940904 = V688911. assign V575660 = V308317 + 1. assign V150157 = V775885 - 1. assign V686216 = V081408. assign V199519 = V396121 - 1. assign V945937 = V731404. assign V584788 = V263203 - 1. assign V539317 = V200266 + 1. assign V336582 = V801094 - 1. assign V128438 = V518556 - 1. assign V863042 = V308282. assign V861003 = V775885 - 1. assign V612033 = V060832. assign V548160 = V782535 - 1. assign V846715 = V002447 - 1. assign V047041 = V270106 - 1. assign V987535 = V874374 + 1. assign V149329 = V722911 + 1. assign V947167 = V440472 - 1. assign V618252 = V620284 - 1. assign V987731 = V396121 + 1. assign V297290 = V460027. assign V308317 = V263203 + 1. assign V159461 = V874374 - 1. assign V396121 = V539478 - 1. assign V155959 = V861003. assign V539478 = V122009. assign V848828 = V945937 - 1. assign V775885 = V685823. assign V263203 = V782535. assign V631406 = V788782. assign V121590 = V245837 + 1. assign V240933 = V425430. assign V001161 = V425430. assign V277015 = V121590 + 1. assign V990592 = V286305 + 1. assign V300552 = V389990 + 1. assign V810414 = V377666 + 1. assign V140658 = V615638 + 1. assign V899587 = V612014. assign V575388 = V122009. assign V132841 = V746745 - 1. assign V731404 = V620284 + 1. assign V688911 = V814934 - 1. assign V081408 = V863042 - 1. assign V947105 = V460027 + 1. assign V106523 = V539317 - 1. assign V760543 = V829510 - 1. assign V561535 = V188075. assign V612014 = V157713 + 1. assign V533196 = V396121 + 1. assign V085879 = V801094 - 1. assign V570040 = V396121 + 1. assign V293770 = V277015 + 1. assign V782535 = V539478 + 1. assign V286305 = V506282. assign V754607 = V121590. assign V998893 = V104791 - 1. assign V828777 = V027919 - 1. assign V518556 = V377666 - 1. assign V693845 = V846715 - 1. assign V663185 = V990592 - 1. assign V677086 = V940904 + 1. assign V168059 = V310096 + 1. assign V547424 = V945937 + 1. assign V722911 = V282549 + 1. assign V637757 = V269119 + 1. assign V259410 = V081074. assign V894514 = V846715. assign V061629 = V506282. assign V801094 = V122009 + 1. assign V614215 = V863042 - 1. assign V443189 = V377666 - 1. assign V106733 = V140658 + 1. assign V190950 = V026968 + 1. assign V881744 = V899587 + 1. assign V042358 = V245837 - 1. assign V245837 = V548160 + 1. assign V840084 = V894514 - 1. assign V029156 = V548160 - 1. assign V478032 = V599222 + 1. assign V869396 = V308282. assign V492365 = V389990 + 1. assign V232022 = V607985 - 1. assign V599222 = V874374. assign V308282 = V159461 - 1. assign V735560 = V693845. assign V268208 = V685823. assign V498788 = V150157 + 1. assign V157713 = V874374. assign V729647 = V637757 - 1. assign V903974 = V199519. assign V506282 = V874374 - 1. assign V121656 = V183406 + 1. assign V681065 = V029156 + 1. assign V263814 = V612033. assign V607985 = V863042 + 1. assign V640481 = V506282 + 1. assign V104791 = V715340 + 1. assign V424359 = V026968. assign V866530 = V104791 - 1. assign V440472 = V782535 - 1. assign V624049 = V226123 + 1. assign V618020 = V731404. assign V787203 = V548160. assign V746745 = V874374. assign V521524 = V575660. assign V157489 = V990592 - 1. assign V700632 = V492365 + 1. assign V014831 = V245837 + 1. assign V691538 = V961862 - 1. assign V535052 = V615638 + 1. assign V620284 = V029156 - 1. assign V499015 = V081074 + 1. assign V071902 = V042358. assign V060832 = V245837. assign V195816 = V157713 - 1. assign V145554 = V615638 - 1. assign V396823 = V001161. assign V212850 = V440472 + 1. assign V621659 = V140658 - 1. assign V685823 = V122009. assign V460027 = V342499. assign V254684 = V642089. assign V229610 = V060832 - 1. assign V607692 = V424359. assign V310096 = V029156 - 1. assign V392180 = V915403. assign V282549 = V990592 - 1. assign V389990 = V159461 + 1. assign V961862 = V548160. assign V636431 = V615638. assign V623201 = V599222 - 1. assign V957103 = V637757 + 1. assign V715340 = V286305 - 1. assign V200266 = V731404 + 1. assign V239086 = V392180 - 1. assign V294281 = V782535. assign V263256 = V377666. assign V027919 = V245837 - 1. assign V444841 = V297290 + 1. assign V059644 = V232022. assign V915403 = V263203 - 1. assign V270106 = V212850. assign V188075 = V685823 + 1. assign V091113 = V881744 + 1. assign V649392 = V636431 - 1. assign V269119 = V731404. assign V805858 = V636431 - 1. assign V342499 = V424359 + 1. assign V052300 = 4. assign V026968 = V377666. assign V829510 = V061629. assign V002447 = V782535 + 1. assign V098770 = V599222. assign V124067 = V232022. assign V935319 = V440472. assign V226123 = V061629 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V383597 = V685823 - 1. assign V912353 = V052300 - 1. assign V642089 = V308282. assign V377666 = V874374 + 1. assign V564845 = V121590 + 1. assign V743976 = V663185 - 1. assign V814934 = V805858 - 1. assign V615638 = V539478 - 1. assign V788782 = V029156 - 1. assign V081074 = V814934 + 1. assign V143570 = V575388. assign V425430 = V861003. assign V183406 = V026968 + 1. assign V874374 = V122009 + 1. assign V940904 = V688911. assign V575660 = V308317 + 1. assign V150157 = V775885 - 1. assign V686216 = V081408. assign V199519 = V396121 - 1. assign V945937 = V731404. assign V584788 = V263203 - 1. assign V539317 = V200266 + 1. assign V336582 = V801094 - 1. assign V128438 = V518556 - 1. assign V863042 = V308282. assign V861003 = V775885 - 1. assign V612033 = V060832. assign V548160 = V782535 - 1. assign V846715 = V002447 - 1. assign V047041 = V270106 - 1. assign V987535 = V874374 + 1. assign V149329 = V722911 + 1. assign V947167 = V440472 - 1. assign V618252 = V620284 - 1. assign V987731 = V396121 + 1. assign V297290 = V460027. assign V308317 = V263203 + 1. assign V159461 = V874374 - 1. assign V396121 = V539478 - 1. assign V155959 = V861003. assign V539478 = V122009. assign V848828 = V945937 - 1. assign V775885 = V685823. assign V263203 = V782535. assign V631406 = V788782. assign V121590 = V245837 + 1. assign V240933 = V425430. assign V001161 = V425430. assign V277015 = V121590 + 1. assign V990592 = V286305 + 1. assign V300552 = V389990 + 1. assign V810414 = V377666 + 1. assign V140658 = V615638 + 1. assign V899587 = V612014. assign V575388 = V122009. assign V132841 = V746745 - 1. assign V731404 = V620284 + 1. assign V688911 = V814934 - 1. assign V081408 = V863042 - 1. assign V947105 = V460027 + 1. assign V106523 = V539317 - 1. assign V760543 = V829510 - 1. assign V561535 = V188075. assign V612014 = V157713 + 1. assign V533196 = V396121 + 1. assign V085879 = V801094 - 1. assign V570040 = V396121 + 1. assign V293770 = V277015 + 1. assign V782535 = V539478 + 1. assign V286305 = V506282. assign V754607 = V121590. assign V998893 = V104791 - 1. assign V828777 = V027919 - 1. assign V518556 = V377666 - 1. assign V693845 = V846715 - 1. assign V663185 = V990592 - 1. assign V677086 = V940904 + 1. assign V168059 = V310096 + 1. assign V547424 = V945937 + 1. assign V722911 = V282549 + 1. assign V637757 = V269119 + 1. assign V259410 = V081074. assign V894514 = V846715. assign V061629 = V506282. assign V801094 = V122009 + 1. assign V614215 = V863042 - 1. assign V443189 = V377666 - 1. assign V106733 = V140658 + 1. assign V190950 = V026968 + 1. assign V881744 = V899587 + 1. assign V042358 = V245837 - 1. assign V245837 = V548160 + 1. assign V840084 = V894514 - 1. assign V029156 = V548160 - 1. assign V478032 = V599222 + 1. assign V869396 = V308282. assign V492365 = V389990 + 1. assign V232022 = V607985 - 1. assign V599222 = V874374. assign V308282 = V159461 - 1. assign V735560 = V693845. assign V268208 = V685823. assign V498788 = V150157 + 1. assign V157713 = V874374. assign V729647 = V637757 - 1. assign V903974 = V199519. assign V506282 = V874374 - 1. assign V121656 = V183406 + 1. assign V681065 = V029156 + 1. assign V263814 = V612033. assign V607985 = V863042 + 1. assign V640481 = V506282 + 1. assign V104791 = V715340 + 1. assign V424359 = V026968. assign V866530 = V104791 - 1. assign V440472 = V782535 - 1. assign V624049 = V226123 + 1. assign V618020 = V731404. assign V787203 = V548160. assign V746745 = V874374. assign V521524 = V575660. assign V157489 = V990592 - 1. assign V700632 = V492365 + 1. assign V014831 = V245837 + 1. assign V691538 = V961862 - 1. assign V535052 = V615638 + 1. assign V620284 = V029156 - 1. assign V499015 = V081074 + 1. assign V071902 = V042358. assign V060832 = V245837. assign V195816 = V157713 - 1. assign V145554 = V615638 - 1. assign V396823 = V001161. assign V212850 = V440472 + 1. assign V621659 = V140658 - 1. assign V685823 = V122009. assign V460027 = V342499. assign V254684 = V642089. assign V229610 = V060832 - 1. assign V607692 = V424359. assign V310096 = V029156 - 1. assign V392180 = V915403. assign V282549 = V990592 - 1. assign V389990 = V159461 + 1. assign V961862 = V548160. assign V636431 = V615638. assign V623201 = V599222 - 1. assign V957103 = V637757 + 1. assign V715340 = V286305 - 1. assign V200266 = V731404 + 1. assign V239086 = V392180 - 1. assign V294281 = V782535. assign V263256 = V377666. assign V027919 = V245837 - 1. assign V444841 = V297290 + 1. assign V059644 = V232022. assign V915403 = V263203 - 1. assign V270106 = V212850. assign V188075 = V685823 + 1. assign V091113 = V881744 + 1. assign V649392 = V636431 - 1. assign V269119 = V731404. assign V805858 = V636431 - 1. assign V342499 = V424359 + 1. assign V052300 = 4. assign V026968 = V377666. assign V829510 = V061629. assign V002447 = V782535 + 1. assign V098770 = V599222. assign V124067 = V232022. assign V935319 = V440472. assign V226123 = V061629 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV052300 = 4;\n\nFrom these direct assignment(s), we have: \nV912353 = V052300 - 1 = 4 - 1 =3;\nNo other variables can be derived from V912353;\nNo other variables can be derived from V052300;\n\nNow we have done all the calculations. Derived variables are:\nV052300 = 4;\nV912353 = 3;\n\nNow we have finished this problem. ANSWER:\nV912353\n", "role": "assistant" } ]

[ "V435895" ]

[ { "content": "<context>\nassign V417027 = V399400. assign V184542 = V168376 + 1. assign V117982 = V190808 + 1. assign V502601 = V660412. assign V195201 = V511972 + 1. assign V647345 = V495513 - 1. assign V882720 = V542505. assign V567401 = V400773 - 1. assign V174015 = V542505 + 1. assign V135611 = V458987 + 1. assign V255532 = V950084 - 1. assign V286987 = V222944 + 1. assign V367104 = V595723. assign V074860 = V635069 + 1. assign V520414 = V168376 + 1. assign V689079 = V069520. assign V109447 = V069520 + 1. assign V436089 = V148839 + 1. assign V773681 = V068852 - 1. assign V992857 = V266207. assign V054744 = V428675 + 1. assign V614639 = V161883. assign V264057 = V135600. assign V463419 = V135600 + 1. assign V251970 = V885189 + 1. assign V416249 = V190808 - 1. assign V303018 = V815395 - 1. assign V314221 = V543374 + 1. assign V940524 = V286987. assign V184988 = V542505. assign V553592 = V068852. assign V230193 = V459565 - 1. assign V808269 = V222944. assign V222944 = V541429 + 1. assign V660412 = V539573 - 1. assign V646162 = V958999 - 1. assign V500449 = V287173 - 1. assign V190808 = V174015 - 1. assign V988452 = V520414 - 1. assign V007074 = V174015. assign V662307 = V518147 - 1. assign V119325 = V148839 - 1. assign V010119 = V950084 - 1. assign V319906 = V575705. assign V096213 = V752853 + 1. assign V266044 = V184542. assign V196854 = V069520 + 1. assign V772376 = V957740. assign V170876 = V413159. assign V685304 = V174015. assign V999386 = V019678 - 1. assign V800700 = V188174 - 1. assign V491302 = V314221 + 1. assign V831366 = V287173 + 1. assign V047766 = V161883 + 1. assign V408069 = V010119 - 1. assign V115973 = V287173. assign V338462 = V950084. assign V276062 = V867138 + 1. assign V957740 = V989514 + 1. assign V885189 = V677795 + 1. assign V579892 = V489566. assign V458987 = V135428 + 1. assign V681818 = V415272 - 1. assign V785865 = V148839. assign V514972 = V500449 + 1. assign V161883 = V338462 + 1. assign V382107 = V459565 - 1. assign V069520 = V500449. assign V628494 = V148839 + 1. assign V148839 = V338462. assign V595967 = V266044 + 1. assign V333375 = V824536. assign V578913 = V264057 + 1. assign V511972 = V174015 + 1. assign V400773 = V148839. assign V279376 = V511972 + 1. assign V540886 = V867138 + 1. assign V692244 = V382107 - 1. assign V412740 = V595723 - 1. assign V986711 = V815395 + 1. assign V068852 = V266207 - 1. assign V989514 = V184988 + 1. assign V019678 = V255532 - 1. assign V266207 = V161563 - 1. assign V543374 = V170876. assign V294589 = V305408 + 1. assign V489566 = V222944. assign V882824 = V815395 + 1. assign V867516 = V646162. assign V713777 = V463419. assign V729235 = V019678 - 1. assign V428675 = V432747. assign V374467 = V111980 - 1. assign V253904 = V374467 + 1. assign V593942 = V514972. assign V254406 = V287173 + 1. assign V161563 = V184988 - 1. assign V238666 = V064380. assign V635069 = V188174 + 1. assign V571630 = V019678. assign V824536 = V614639. assign V621858 = V567401 - 1. assign V554905 = V045055 - 1. assign V860453 = V222944. assign V878168 = V238666. assign V496286 = V428675 + 1. assign V961295 = V432747. assign V677795 = V266207 - 1. assign V298363 = V785865 - 1. assign V168376 = V986711. assign V305408 = V541429. assign V983539 = V542505. assign V635542 = V135600 - 1. assign V815395 = V174015 + 1. assign V720329 = V054019 + 1. assign V723245 = V294589. assign V408776 = V575705 - 1. assign V516082 = V148839 + 1. assign V732498 = V068852 + 1. assign V706218 = V957740 - 1. assign V595723 = V115973 + 1. assign V783344 = V831366. assign V978069 = 10. assign V459565 = V338462 + 1. assign V071754 = V958999. assign V399400 = V950084. assign V188174 = V399400 + 1. assign V111980 = V467170 + 1. assign V341189 = V723245. assign V007026 = V338462 + 1. assign V287173 = V161883 + 1. assign V541429 = V135600. assign V867138 = V319906 + 1. assign V099731 = V704959 + 1. assign V513021 = V287173 - 1. assign V683023 = V432747 + 1. assign V565004 = V614639 + 1. assign V074358 = V595723 + 1. assign V435895 = V978069 + 1. assign V467170 = V174015 + 1. assign V013528 = V662307. assign V045055 = V354071 + 1. assign V575705 = V174015. assign V958999 = V354071 + 1. assign V704959 = V950084. assign V054019 = V181651 - 1. assign V657074 = V660412. assign V495513 = V115973 - 1. assign V752853 = V706218 - 1. assign V501460 = V983539 + 1. assign V432747 = V338462. assign V753873 = V983539 + 1. assign V950084 = V467170 - 1. assign V064380 = V500449. assign V413159 = V614639 + 1. assign V584599 = V074860. assign V855757 = V579892 + 1. assign V181651 = V119325 - 1. assign V354071 = V432747 - 1. assign V084022 = V940524 + 1. assign V135428 = V354071 - 1. assign V900382 = V520414. assign V385279 = V575705. assign V587078 = V500449 + 1. assign V518147 = V222944 + 1. assign V793231 = V575705 + 1. assign V415272 = V511972 - 1. assign V534614 = V413159 + 1. assign V668093 = V463419 - 1. assign V542505 = V135600 + 1. assign V539573 = V190808.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V417027 = V399400. assign V184542 = V168376 + 1. assign V117982 = V190808 + 1. assign V502601 = V660412. assign V195201 = V511972 + 1. assign V647345 = V495513 - 1. assign V882720 = V542505. assign V567401 = V400773 - 1. assign V174015 = V542505 + 1. assign V135611 = V458987 + 1. assign V255532 = V950084 - 1. assign V286987 = V222944 + 1. assign V367104 = V595723. assign V074860 = V635069 + 1. assign V520414 = V168376 + 1. assign V689079 = V069520. assign V109447 = V069520 + 1. assign V436089 = V148839 + 1. assign V773681 = V068852 - 1. assign V992857 = V266207. assign V054744 = V428675 + 1. assign V614639 = V161883. assign V264057 = V135600. assign V463419 = V135600 + 1. assign V251970 = V885189 + 1. assign V416249 = V190808 - 1. assign V303018 = V815395 - 1. assign V314221 = V543374 + 1. assign V940524 = V286987. assign V184988 = V542505. assign V553592 = V068852. assign V230193 = V459565 - 1. assign V808269 = V222944. assign V222944 = V541429 + 1. assign V660412 = V539573 - 1. assign V646162 = V958999 - 1. assign V500449 = V287173 - 1. assign V190808 = V174015 - 1. assign V988452 = V520414 - 1. assign V007074 = V174015. assign V662307 = V518147 - 1. assign V119325 = V148839 - 1. assign V010119 = V950084 - 1. assign V319906 = V575705. assign V096213 = V752853 + 1. assign V266044 = V184542. assign V196854 = V069520 + 1. assign V772376 = V957740. assign V170876 = V413159. assign V685304 = V174015. assign V999386 = V019678 - 1. assign V800700 = V188174 - 1. assign V491302 = V314221 + 1. assign V831366 = V287173 + 1. assign V047766 = V161883 + 1. assign V408069 = V010119 - 1. assign V115973 = V287173. assign V338462 = V950084. assign V276062 = V867138 + 1. assign V957740 = V989514 + 1. assign V885189 = V677795 + 1. assign V579892 = V489566. assign V458987 = V135428 + 1. assign V681818 = V415272 - 1. assign V785865 = V148839. assign V514972 = V500449 + 1. assign V161883 = V338462 + 1. assign V382107 = V459565 - 1. assign V069520 = V500449. assign V628494 = V148839 + 1. assign V148839 = V338462. assign V595967 = V266044 + 1. assign V333375 = V824536. assign V578913 = V264057 + 1. assign V511972 = V174015 + 1. assign V400773 = V148839. assign V279376 = V511972 + 1. assign V540886 = V867138 + 1. assign V692244 = V382107 - 1. assign V412740 = V595723 - 1. assign V986711 = V815395 + 1. assign V068852 = V266207 - 1. assign V989514 = V184988 + 1. assign V019678 = V255532 - 1. assign V266207 = V161563 - 1. assign V543374 = V170876. assign V294589 = V305408 + 1. assign V489566 = V222944. assign V882824 = V815395 + 1. assign V867516 = V646162. assign V713777 = V463419. assign V729235 = V019678 - 1. assign V428675 = V432747. assign V374467 = V111980 - 1. assign V253904 = V374467 + 1. assign V593942 = V514972. assign V254406 = V287173 + 1. assign V161563 = V184988 - 1. assign V238666 = V064380. assign V635069 = V188174 + 1. assign V571630 = V019678. assign V824536 = V614639. assign V621858 = V567401 - 1. assign V554905 = V045055 - 1. assign V860453 = V222944. assign V878168 = V238666. assign V496286 = V428675 + 1. assign V961295 = V432747. assign V677795 = V266207 - 1. assign V298363 = V785865 - 1. assign V168376 = V986711. assign V305408 = V541429. assign V983539 = V542505. assign V635542 = V135600 - 1. assign V815395 = V174015 + 1. assign V720329 = V054019 + 1. assign V723245 = V294589. assign V408776 = V575705 - 1. assign V516082 = V148839 + 1. assign V732498 = V068852 + 1. assign V706218 = V957740 - 1. assign V595723 = V115973 + 1. assign V783344 = V831366. assign V978069 = 10. assign V459565 = V338462 + 1. assign V071754 = V958999. assign V399400 = V950084. assign V188174 = V399400 + 1. assign V111980 = V467170 + 1. assign V341189 = V723245. assign V007026 = V338462 + 1. assign V287173 = V161883 + 1. assign V541429 = V135600. assign V867138 = V319906 + 1. assign V099731 = V704959 + 1. assign V513021 = V287173 - 1. assign V683023 = V432747 + 1. assign V565004 = V614639 + 1. assign V074358 = V595723 + 1. assign V435895 = V978069 + 1. assign V467170 = V174015 + 1. assign V013528 = V662307. assign V045055 = V354071 + 1. assign V575705 = V174015. assign V958999 = V354071 + 1. assign V704959 = V950084. assign V054019 = V181651 - 1. assign V657074 = V660412. assign V495513 = V115973 - 1. assign V752853 = V706218 - 1. assign V501460 = V983539 + 1. assign V432747 = V338462. assign V753873 = V983539 + 1. assign V950084 = V467170 - 1. assign V064380 = V500449. assign V413159 = V614639 + 1. assign V584599 = V074860. assign V855757 = V579892 + 1. assign V181651 = V119325 - 1. assign V354071 = V432747 - 1. assign V084022 = V940524 + 1. assign V135428 = V354071 - 1. assign V900382 = V520414. assign V385279 = V575705. assign V587078 = V500449 + 1. assign V518147 = V222944 + 1. assign V793231 = V575705 + 1. assign V415272 = V511972 - 1. assign V534614 = V413159 + 1. assign V668093 = V463419 - 1. assign V542505 = V135600 + 1. assign V539573 = V190808.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV978069 = 10;\n\nFrom these direct assignment(s), we have: \nV435895 = V978069 + 1 = 10 + 1 =11;\nNo other variables can be derived from V435895;\nNo other variables can be derived from V978069;\n\nNow we have done all the calculations. Derived variables are:\nV978069 = 10;\nV435895 = 11;\n\nNow we have finished this problem. ANSWER:\nV435895\n", "role": "assistant" } ]

[ "V132909" ]

[ { "content": "<context>\nassign V658060 = V573590. assign V307699 = V356754 - 1. assign V959608 = V149254 + 1. assign V340702 = V292474 + 1. assign V235815 = V165582 + 1. assign V080609 = V385914 + 1. assign V093631 = V428141 - 1. assign V616692 = V488418 + 1. assign V498381 = V162087. assign V329331 = V298918. assign V870946 = V083502 + 1. assign V270967 = V955359 - 1. assign V314350 = V771072 + 1. assign V338685 = V227977. assign V884122 = V622506 + 1. assign V905805 = V933195. assign V860132 = V870946 - 1. assign V227977 = V417251 + 1. assign V751151 = V860626. assign V162522 = V444953 - 1. assign V477003 = V816065 - 1. assign V115502 = V678526 + 1. assign V451230 = V499715 - 1. assign V534143 = V960394 - 1. assign V408054 = V554006 + 1. assign V622506 = V860626 + 1. assign V067306 = V050595 - 1. assign V044965 = V534143 + 1. assign V667458 = V554006 + 1. assign V917531 = V823048 + 1. assign V442341 = V050522 + 1. assign V983999 = V364377. assign V089374 = V067306 - 1. assign V589568 = V067306 + 1. assign V143979 = V050522 - 1. assign V013206 = V554006 + 1. assign V078459 = V143979. assign V708312 = V905805 - 1. assign V289520 = V132909 - 1. assign V356754 = V917531. assign V686485 = V080609. assign V575977 = V860626. assign V787172 = V933195. assign V235057 = V932199 + 1. assign V248917 = V771072 + 1. assign V159844 = V821358 - 1. assign V821358 = V143979 - 1. assign V768263 = V964243 + 1. assign V702001 = V499715 - 1. assign V583109 = V266648 - 1. assign V050522 = V227977 - 1. assign V354891 = V868932 - 1. assign V046563 = V089374. assign V864795 = V266648 + 1. assign V381877 = V488418. assign V950056 = V165582 - 1. assign V143371 = V292474. assign V298918 = V063588 - 1. assign V705603 = V498381 + 1. assign V933195 = V932199 + 1. assign V452488 = V143979. assign V561851 = V298918 + 1. assign V800987 = V013206 - 1. assign V248663 = V864795 + 1. assign V688256 = V046563 - 1. assign V149254 = V849048. assign V184216 = V208834 - 1. assign V063588 = V012041 - 1. assign V110910 = V442341 - 1. assign V393797 = V554006 - 1. assign V142439 = V165582. assign V036607 = V256800 + 1. assign V451715 = V143979. assign V717521 = V527281 - 1. assign V065387 = V285341 + 1. assign V256800 = V050595 + 1. assign V672785 = V381877 - 1. assign V195892 = V285341. assign V214507 = V142439. assign V182098 = V984893 - 1. assign V214513 = V050595 - 1. assign V758634 = V667458 - 1. assign V527281 = V557968. assign V968912 = V227977 + 1. assign V165582 = V964243 + 1. assign V083502 = V787172. assign V411866 = V499715 - 1. assign V292474 = V932199. assign V462452 = V686485 - 1. assign V678526 = V266648. assign V932008 = V248917 + 1. assign V730217 = V488418. assign V529793 = V143371 + 1. assign V057373 = V046563. assign V000417 = V527281. assign V859781 = V381877 - 1. assign V527631 = V597565. assign V016151 = V688256. assign V719526 = V235057. assign V132909 = 1. assign V800678 = V167851. assign V399252 = V208834 - 1. assign V794805 = V988395. assign V211692 = V399252 + 1. assign V488418 = V050595 - 1. assign V428410 = V497374. assign V444953 = V227977. assign V385914 = V932199. assign V573590 = V889822 - 1. assign V283603 = V292474 + 1. assign V350191 = V988395 - 1. assign V512114 = V823048 + 1. assign V991653 = V235815 + 1. assign V212980 = V292474 - 1. assign V377275 = V984893 - 1. assign V510943 = V488418. assign V364377 = V823048 + 1. assign V050595 = V932199. assign V816395 = V067306. assign V530748 = V816065 + 1. assign V497125 = V955359 + 1. assign V208834 = V067306 + 1. assign V960394 = V149254 - 1. assign V849048 = V385914 - 1. assign V198523 = V036607. assign V192138 = V428410 - 1. assign V127730 = V860626 - 1. assign V771072 = V050595 - 1. assign V164568 = V013206 - 1. assign V904824 = V955359. assign V167851 = V067306 + 1. assign V499715 = V589568 + 1. assign V442782 = V529793 + 1. assign V955359 = V266648 + 1. assign V747592 = V050522 + 1. assign V829253 = V270967 - 1. assign V492186 = V768263 + 1. assign V964243 = V444953. assign V932199 = V417251. assign V554006 = V964243 - 1. assign V823048 = V050595. assign V497374 = V285341. assign V021370 = V050522 + 1. assign V860626 = V036607 + 1. assign V144935 = V256800. assign V392669 = V905805 + 1. assign V984893 = V917531 - 1. assign V988395 = V266648 + 1. assign V428881 = V149254 - 1. assign V816065 = V768263 + 1. assign V012041 = V794805 - 1. assign V528661 = V266648 + 1. assign V932883 = V575258. assign V180855 = V932199 - 1. assign V868932 = V964243 - 1. assign V285341 = V955359. assign V340044 = V667458 - 1. assign V597565 = V428881 - 1. assign V575258 = V868932 - 1. assign V980432 = V529793 + 1. assign V280777 = V917531. assign V266648 = V227977. assign V557968 = V787172 - 1. assign V326888 = V917531 + 1. assign V787587 = V046563 - 1. assign V454016 = V044965. assign V889822 = V227977 - 1. assign V998491 = V411866 - 1. assign V162087 = V385914. assign V319954 = V955359 - 1. assign V428141 = V497374 + 1. assign V185900 = V143979 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V658060 = V573590. assign V307699 = V356754 - 1. assign V959608 = V149254 + 1. assign V340702 = V292474 + 1. assign V235815 = V165582 + 1. assign V080609 = V385914 + 1. assign V093631 = V428141 - 1. assign V616692 = V488418 + 1. assign V498381 = V162087. assign V329331 = V298918. assign V870946 = V083502 + 1. assign V270967 = V955359 - 1. assign V314350 = V771072 + 1. assign V338685 = V227977. assign V884122 = V622506 + 1. assign V905805 = V933195. assign V860132 = V870946 - 1. assign V227977 = V417251 + 1. assign V751151 = V860626. assign V162522 = V444953 - 1. assign V477003 = V816065 - 1. assign V115502 = V678526 + 1. assign V451230 = V499715 - 1. assign V534143 = V960394 - 1. assign V408054 = V554006 + 1. assign V622506 = V860626 + 1. assign V067306 = V050595 - 1. assign V044965 = V534143 + 1. assign V667458 = V554006 + 1. assign V917531 = V823048 + 1. assign V442341 = V050522 + 1. assign V983999 = V364377. assign V089374 = V067306 - 1. assign V589568 = V067306 + 1. assign V143979 = V050522 - 1. assign V013206 = V554006 + 1. assign V078459 = V143979. assign V708312 = V905805 - 1. assign V289520 = V132909 - 1. assign V356754 = V917531. assign V686485 = V080609. assign V575977 = V860626. assign V787172 = V933195. assign V235057 = V932199 + 1. assign V248917 = V771072 + 1. assign V159844 = V821358 - 1. assign V821358 = V143979 - 1. assign V768263 = V964243 + 1. assign V702001 = V499715 - 1. assign V583109 = V266648 - 1. assign V050522 = V227977 - 1. assign V354891 = V868932 - 1. assign V046563 = V089374. assign V864795 = V266648 + 1. assign V381877 = V488418. assign V950056 = V165582 - 1. assign V143371 = V292474. assign V298918 = V063588 - 1. assign V705603 = V498381 + 1. assign V933195 = V932199 + 1. assign V452488 = V143979. assign V561851 = V298918 + 1. assign V800987 = V013206 - 1. assign V248663 = V864795 + 1. assign V688256 = V046563 - 1. assign V149254 = V849048. assign V184216 = V208834 - 1. assign V063588 = V012041 - 1. assign V110910 = V442341 - 1. assign V393797 = V554006 - 1. assign V142439 = V165582. assign V036607 = V256800 + 1. assign V451715 = V143979. assign V717521 = V527281 - 1. assign V065387 = V285341 + 1. assign V256800 = V050595 + 1. assign V672785 = V381877 - 1. assign V195892 = V285341. assign V214507 = V142439. assign V182098 = V984893 - 1. assign V214513 = V050595 - 1. assign V758634 = V667458 - 1. assign V527281 = V557968. assign V968912 = V227977 + 1. assign V165582 = V964243 + 1. assign V083502 = V787172. assign V411866 = V499715 - 1. assign V292474 = V932199. assign V462452 = V686485 - 1. assign V678526 = V266648. assign V932008 = V248917 + 1. assign V730217 = V488418. assign V529793 = V143371 + 1. assign V057373 = V046563. assign V000417 = V527281. assign V859781 = V381877 - 1. assign V527631 = V597565. assign V016151 = V688256. assign V719526 = V235057. assign V132909 = 1. assign V800678 = V167851. assign V399252 = V208834 - 1. assign V794805 = V988395. assign V211692 = V399252 + 1. assign V488418 = V050595 - 1. assign V428410 = V497374. assign V444953 = V227977. assign V385914 = V932199. assign V573590 = V889822 - 1. assign V283603 = V292474 + 1. assign V350191 = V988395 - 1. assign V512114 = V823048 + 1. assign V991653 = V235815 + 1. assign V212980 = V292474 - 1. assign V377275 = V984893 - 1. assign V510943 = V488418. assign V364377 = V823048 + 1. assign V050595 = V932199. assign V816395 = V067306. assign V530748 = V816065 + 1. assign V497125 = V955359 + 1. assign V208834 = V067306 + 1. assign V960394 = V149254 - 1. assign V849048 = V385914 - 1. assign V198523 = V036607. assign V192138 = V428410 - 1. assign V127730 = V860626 - 1. assign V771072 = V050595 - 1. assign V164568 = V013206 - 1. assign V904824 = V955359. assign V167851 = V067306 + 1. assign V499715 = V589568 + 1. assign V442782 = V529793 + 1. assign V955359 = V266648 + 1. assign V747592 = V050522 + 1. assign V829253 = V270967 - 1. assign V492186 = V768263 + 1. assign V964243 = V444953. assign V932199 = V417251. assign V554006 = V964243 - 1. assign V823048 = V050595. assign V497374 = V285341. assign V021370 = V050522 + 1. assign V860626 = V036607 + 1. assign V144935 = V256800. assign V392669 = V905805 + 1. assign V984893 = V917531 - 1. assign V988395 = V266648 + 1. assign V428881 = V149254 - 1. assign V816065 = V768263 + 1. assign V012041 = V794805 - 1. assign V528661 = V266648 + 1. assign V932883 = V575258. assign V180855 = V932199 - 1. assign V868932 = V964243 - 1. assign V285341 = V955359. assign V340044 = V667458 - 1. assign V597565 = V428881 - 1. assign V575258 = V868932 - 1. assign V980432 = V529793 + 1. assign V280777 = V917531. assign V266648 = V227977. assign V557968 = V787172 - 1. assign V326888 = V917531 + 1. assign V787587 = V046563 - 1. assign V454016 = V044965. assign V889822 = V227977 - 1. assign V998491 = V411866 - 1. assign V162087 = V385914. assign V319954 = V955359 - 1. assign V428141 = V497374 + 1. assign V185900 = V143979 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV132909 = 1;\n\nFrom these direct assignment(s), we have: \nV289520 = V132909 - 1 = 1 - 1 =0;\nNo other variables can be derived from V289520;\nNo other variables can be derived from V132909;\n\nNow we have done all the calculations. Derived variables are:\nV132909 = 1;\nV289520 = 0;\n\nNow we have finished this problem. ANSWER:\nV132909\n", "role": "assistant" } ]

[ "V515654" ]

[ { "content": "<context>\nassign V979052 = V196386 + 1. assign V638049 = V723539 - 1. assign V444855 = V096775 - 1. assign V061686 = V940052. assign V919429 = V446074 + 1. assign V278359 = V786098 + 1. assign V603487 = V723539 - 1. assign V509003 = V752445 + 1. assign V341813 = V823967 - 1. assign V484271 = V791213 + 1. assign V088309 = V388619 - 1. assign V592806 = V778497 + 1. assign V803333 = V612172. assign V000297 = V284908 - 1. assign V331525 = V072643 + 1. assign V839331 = V016720 - 1. assign V730044 = V339335. assign V623129 = V388619 + 1. assign V815562 = V044704 - 1. assign V632321 = V862087. assign V523792 = V603487 + 1. assign V577221 = V018567. assign V791213 = V659025 - 1. assign V999092 = V901675 - 1. assign V786098 = V737781. assign V585181 = V612172 - 1. assign V601896 = V317267 - 1. assign V861408 = V529241 - 1. assign V322925 = V940052 + 1. assign V339335 = V786098 - 1. assign V027677 = V606917 - 1. assign V984078 = V328100. assign V599399 = V919429. assign V659025 = V737781. assign V161783 = V979052. assign V333885 = V627909 - 1. assign V515654 = V951105 + 1. assign V538517 = V912238. assign V483467 = V344440 - 1. assign V863708 = V817403 - 1. assign V888121 = V121603 + 1. assign V628357 = V634613 - 1. assign V255136 = V573178 - 1. assign V933331 = V577221. assign V219912 = V196386 + 1. assign V031692 = V862087 - 1. assign V049097 = V592806. assign V400011 = V531544. assign V372784 = V538517 + 1. assign V957522 = V096775 + 1. assign V631612 = V088309 - 1. assign V198626 = V791213 - 1. assign V023677 = V000297 - 1. assign V778497 = V328100 - 1. assign V426489 = V291383. assign V344440 = V573178. assign V901908 = V791213. assign V197364 = V049097. assign V912238 = V659025. assign V800876 = V638049. assign V929748 = V406673 - 1. assign V176112 = V083020 - 1. assign V407109 = V146489 - 1. assign V563930 = V317267 - 1. assign V623670 = V573178 - 1. assign V275439 = V444855 + 1. assign V106523 = V444855 + 1. assign V297443 = V563930 - 1. assign V092157 = V678073 - 1. assign V331958 = V061686 + 1. assign V710560 = V678073 - 1. assign V627909 = V328805 + 1. assign V018567 = V388619 - 1. assign V221988 = V130511 + 1. assign V222884 = V509003. assign V752101 = V623670 + 1. assign V497714 = V912238. assign V951105 = 4. assign V243047 = V529241 + 1. assign V196386 = V344286 + 1. assign V041481 = V915843 - 1. assign V330979 = V096775. assign V723539 = V406673 - 1. assign V634613 = V737781 + 1. assign V559811 = V979052. assign V101895 = V638049 - 1. assign V366392 = V000297 - 1. assign V882609 = V523792 - 1. assign V055317 = V675461 + 1. assign V817403 = V737781 - 1. assign V072643 = V577221 + 1. assign V089950 = V422604 + 1. assign V369154 = V957522. assign V515956 = V359132 - 1. assign V737758 = V130511 + 1. assign V957334 = V940052 - 1. assign V061814 = V016720 + 1. assign V162522 = V442672 - 1. assign V606917 = V786098 + 1. assign V096775 = V284908 + 1. assign V606251 = V023677 + 1. assign V901675 = V778497. assign V376410 = V278359. assign V600787 = V333885. assign V752019 = V197364. assign V931024 = V278359 - 1. assign V797593 = V497714. assign V862087 = V678073 + 1. assign V706909 = V020090 - 1. assign V083020 = V458651 - 1. assign V169929 = V372784 - 1. assign V242123 = V406673 + 1. assign V464591 = V862087 - 1. assign V570439 = V912238 - 1. assign V839806 = V957334 + 1. assign V146489 = V044704. assign V199550 = V388619 + 1. assign V752445 = V957334 - 1. assign V016720 = V072643 - 1. assign V438450 = V406673 - 1. assign V942277 = V606917 + 1. assign V020090 = V901675. assign V529241 = V723539. assign V406673 = V388619 + 1. assign V422604 = V638049 + 1. assign V255306 = V096775 - 1. assign V209468 = V888121 - 1. assign V328100 = V737781. assign V442672 = V096775 - 1. assign V587905 = V612172 - 1. assign V111843 = V912238. assign V890731 = V538517. assign V823967 = V737781 - 1. assign V311634 = V573178. assign V446074 = V328100. assign V531544 = V603487 - 1. assign V609859 = V328805. assign V130511 = V388619. assign V928375 = V606251 - 1. assign V915843 = V376410 + 1. assign V328805 = V121603 + 1. assign V066565 = V888121. assign V615500 = V655409 - 1. assign V388619 = V458651. assign V317267 = V606917 - 1. assign V140075 = V018567. assign V044704 = V786098 - 1. assign V344286 = V612172 + 1. assign V554959 = V999092. assign V678073 = V255136. assign V523614 = V634613 + 1. assign V284908 = V957334. assign V479790 = V737781 - 1. assign V612172 = V912238 - 1. assign V532553 = V328100 - 1. assign V940052 = V328805 - 1. assign V948062 = V330979. assign V241017 = V803333 + 1. assign V029259 = V061686 - 1. assign V573178 = V659025. assign V458651 = V737781 - 1. assign V359132 = V570439 + 1. assign V210838 = V606917 - 1. assign V657614 = V940052 - 1. assign V462544 = V000297 + 1. assign V655409 = V328100. assign V675461 = V752445 - 1. assign V121603 = V737781. assign V291383 = V606251. assign V089408 = V407109 + 1. assign V391481 = V919429 + 1. assign V326119 = V176112 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V979052 = V196386 + 1. assign V638049 = V723539 - 1. assign V444855 = V096775 - 1. assign V061686 = V940052. assign V919429 = V446074 + 1. assign V278359 = V786098 + 1. assign V603487 = V723539 - 1. assign V509003 = V752445 + 1. assign V341813 = V823967 - 1. assign V484271 = V791213 + 1. assign V088309 = V388619 - 1. assign V592806 = V778497 + 1. assign V803333 = V612172. assign V000297 = V284908 - 1. assign V331525 = V072643 + 1. assign V839331 = V016720 - 1. assign V730044 = V339335. assign V623129 = V388619 + 1. assign V815562 = V044704 - 1. assign V632321 = V862087. assign V523792 = V603487 + 1. assign V577221 = V018567. assign V791213 = V659025 - 1. assign V999092 = V901675 - 1. assign V786098 = V737781. assign V585181 = V612172 - 1. assign V601896 = V317267 - 1. assign V861408 = V529241 - 1. assign V322925 = V940052 + 1. assign V339335 = V786098 - 1. assign V027677 = V606917 - 1. assign V984078 = V328100. assign V599399 = V919429. assign V659025 = V737781. assign V161783 = V979052. assign V333885 = V627909 - 1. assign V515654 = V951105 + 1. assign V538517 = V912238. assign V483467 = V344440 - 1. assign V863708 = V817403 - 1. assign V888121 = V121603 + 1. assign V628357 = V634613 - 1. assign V255136 = V573178 - 1. assign V933331 = V577221. assign V219912 = V196386 + 1. assign V031692 = V862087 - 1. assign V049097 = V592806. assign V400011 = V531544. assign V372784 = V538517 + 1. assign V957522 = V096775 + 1. assign V631612 = V088309 - 1. assign V198626 = V791213 - 1. assign V023677 = V000297 - 1. assign V778497 = V328100 - 1. assign V426489 = V291383. assign V344440 = V573178. assign V901908 = V791213. assign V197364 = V049097. assign V912238 = V659025. assign V800876 = V638049. assign V929748 = V406673 - 1. assign V176112 = V083020 - 1. assign V407109 = V146489 - 1. assign V563930 = V317267 - 1. assign V623670 = V573178 - 1. assign V275439 = V444855 + 1. assign V106523 = V444855 + 1. assign V297443 = V563930 - 1. assign V092157 = V678073 - 1. assign V331958 = V061686 + 1. assign V710560 = V678073 - 1. assign V627909 = V328805 + 1. assign V018567 = V388619 - 1. assign V221988 = V130511 + 1. assign V222884 = V509003. assign V752101 = V623670 + 1. assign V497714 = V912238. assign V951105 = 4. assign V243047 = V529241 + 1. assign V196386 = V344286 + 1. assign V041481 = V915843 - 1. assign V330979 = V096775. assign V723539 = V406673 - 1. assign V634613 = V737781 + 1. assign V559811 = V979052. assign V101895 = V638049 - 1. assign V366392 = V000297 - 1. assign V882609 = V523792 - 1. assign V055317 = V675461 + 1. assign V817403 = V737781 - 1. assign V072643 = V577221 + 1. assign V089950 = V422604 + 1. assign V369154 = V957522. assign V515956 = V359132 - 1. assign V737758 = V130511 + 1. assign V957334 = V940052 - 1. assign V061814 = V016720 + 1. assign V162522 = V442672 - 1. assign V606917 = V786098 + 1. assign V096775 = V284908 + 1. assign V606251 = V023677 + 1. assign V901675 = V778497. assign V376410 = V278359. assign V600787 = V333885. assign V752019 = V197364. assign V931024 = V278359 - 1. assign V797593 = V497714. assign V862087 = V678073 + 1. assign V706909 = V020090 - 1. assign V083020 = V458651 - 1. assign V169929 = V372784 - 1. assign V242123 = V406673 + 1. assign V464591 = V862087 - 1. assign V570439 = V912238 - 1. assign V839806 = V957334 + 1. assign V146489 = V044704. assign V199550 = V388619 + 1. assign V752445 = V957334 - 1. assign V016720 = V072643 - 1. assign V438450 = V406673 - 1. assign V942277 = V606917 + 1. assign V020090 = V901675. assign V529241 = V723539. assign V406673 = V388619 + 1. assign V422604 = V638049 + 1. assign V255306 = V096775 - 1. assign V209468 = V888121 - 1. assign V328100 = V737781. assign V442672 = V096775 - 1. assign V587905 = V612172 - 1. assign V111843 = V912238. assign V890731 = V538517. assign V823967 = V737781 - 1. assign V311634 = V573178. assign V446074 = V328100. assign V531544 = V603487 - 1. assign V609859 = V328805. assign V130511 = V388619. assign V928375 = V606251 - 1. assign V915843 = V376410 + 1. assign V328805 = V121603 + 1. assign V066565 = V888121. assign V615500 = V655409 - 1. assign V388619 = V458651. assign V317267 = V606917 - 1. assign V140075 = V018567. assign V044704 = V786098 - 1. assign V344286 = V612172 + 1. assign V554959 = V999092. assign V678073 = V255136. assign V523614 = V634613 + 1. assign V284908 = V957334. assign V479790 = V737781 - 1. assign V612172 = V912238 - 1. assign V532553 = V328100 - 1. assign V940052 = V328805 - 1. assign V948062 = V330979. assign V241017 = V803333 + 1. assign V029259 = V061686 - 1. assign V573178 = V659025. assign V458651 = V737781 - 1. assign V359132 = V570439 + 1. assign V210838 = V606917 - 1. assign V657614 = V940052 - 1. assign V462544 = V000297 + 1. assign V655409 = V328100. assign V675461 = V752445 - 1. assign V121603 = V737781. assign V291383 = V606251. assign V089408 = V407109 + 1. assign V391481 = V919429 + 1. assign V326119 = V176112 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV951105 = 4;\n\nFrom these direct assignment(s), we have: \nV515654 = V951105 + 1 = 4 + 1 =5;\nNo other variables can be derived from V515654;\nNo other variables can be derived from V951105;\n\nNow we have done all the calculations. Derived variables are:\nV951105 = 4;\nV515654 = 5;\n\nNow we have finished this problem. ANSWER:\nV515654\n", "role": "assistant" } ]

[ "V433781" ]

[ { "content": "<context>\nassign V121896 = V263700. assign V327960 = V140004. assign V403520 = V294131 - 1. assign V456909 = V852914. assign V174947 = V144427 - 1. assign V819151 = V778963. assign V624394 = V228171 + 1. assign V781984 = V327960 - 1. assign V770563 = V174947 - 1. assign V925287 = V019596 + 1. assign V388525 = V327960 + 1. assign V378430 = V714413. assign V927595 = V489432. assign V437956 = V564951 - 1. assign V464254 = V541508. assign V086656 = V897298. assign V870082 = V456909 + 1. assign V556171 = V664209 + 1. assign V662546 = V298107 - 1. assign V484813 = V564951 - 1. assign V837367 = V489432 + 1. assign V144427 = V191959. assign V523426 = V263700 - 1. assign V601573 = V556171 + 1. assign V620874 = V879667 + 1. assign V879667 = V664209. assign V140923 = V836442 + 1. assign V424024 = V086656. assign V890841 = V062816 - 1. assign V718016 = V003779. assign V702230 = V773595. assign V505164 = V773595 - 1. assign V140004 = V612369. assign V104634 = V649267 + 1. assign V714413 = V013076. assign V606746 = V393894. assign V271562 = V696862 + 1. assign V663498 = V393894 + 1. assign V685970 = V263700. assign V965004 = V401129 + 1. assign V063935 = V197914. assign V118075 = V244418. assign V836442 = V606774 - 1. assign V204522 = V802685 - 1. assign V600916 = V546795 + 1. assign V778963 = V606774 + 1. assign V541508 = V925287 + 1. assign V627931 = V879667. assign V649267 = V528586 + 1. assign V012522 = V227889 + 1. assign V307979 = V778963. assign V048908 = V403520 + 1. assign V562714 = V033666 - 1. assign V677128 = V868654. assign V659416 = V868654 - 1. assign V612369 = V556171 - 1. assign V075217 = V003779 - 1. assign V726197 = V598882 - 1. assign V227889 = V503793 - 1. assign V205321 = V604085. assign V546588 = V278938 + 1. assign V916785 = V664209 - 1. assign V396631 = V033666. assign V333835 = V439886 + 1. assign V489432 = V897298 + 1. assign V727953 = V542324 - 1. assign V244418 = V489432 + 1. assign V868654 = V664209. assign V032947 = V437956 + 1. assign V696862 = V974668. assign V197914 = V562714 + 1. assign V057271 = V974668. assign V262920 = V773595. assign V294131 = V570691. assign V164347 = V033666 - 1. assign V007546 = V489432 + 1. assign V017345 = V489432 + 1. assign V881032 = V664209 - 1. assign V605295 = V927595 - 1. assign V408621 = V228494 + 1. assign V688458 = V489432. assign V003779 = V604085 + 1. assign V748429 = V677128. assign V033666 = V294131. assign V609400 = V810559 - 1. assign V013076 = V662979 + 1. assign V217398 = V677128. assign V542324 = V244418 + 1. assign V720891 = V677128 + 1. assign V089682 = V429347 - 1. assign V429347 = V227889 + 1. assign V528586 = V897298. assign V292012 = V627931. assign V228494 = V174947. assign V771948 = V606746 + 1. assign V062816 = V503793 + 1. assign V810559 = V503793 - 1. assign V138893 = V404837. assign V132420 = 9. assign V167437 = V341604. assign V783821 = V556171 + 1. assign V546795 = V144427. assign V081418 = V033666. assign V401129 = V016295 - 1. assign V783561 = V185219. assign V298107 = V974668 - 1. assign V703081 = V200284 - 1. assign V016295 = V556171 + 1. assign V341604 = V897298 + 1. assign V311285 = V815785 + 1. assign V278938 = V503793 - 1. assign V130993 = V702230. assign V200284 = V298107 - 1. assign V606774 = V489432. assign V604085 = V429347. assign V185219 = V620874 + 1. assign V457777 = V086656 + 1. assign V680027 = V604085. assign V228171 = V489432 - 1. assign V439886 = V920068 + 1. assign V891251 = V017345 + 1. assign V802685 = V294131 - 1. assign V503793 = V294131 + 1. assign V433781 = V132420 + 1. assign V835837 = V524921 + 1. assign V773595 = V437956. assign V050114 = V649267 + 1. assign V765644 = V191959. assign V598882 = V327960 + 1. assign V761643 = V144427. assign V019596 = V164347 - 1. assign V372042 = V541508 - 1. assign V653767 = V489432 - 1. assign V920068 = V164347. assign V393894 = V556171. assign V150129 = V897298 - 1. assign V518424 = V927595. assign V541377 = V057271. assign V796401 = V802685. assign V237739 = V185219. assign V564951 = V227889 - 1. assign V219164 = V150129 + 1. assign V912674 = V765644 - 1. assign V145995 = V262920 - 1. assign V468328 = V150129 - 1. assign V852198 = V150129 - 1. assign V664209 = V606774. assign V282818 = V408621. assign V815785 = V197914. assign V498011 = V765644 - 1. assign V400588 = V546795. assign V404837 = V164347 + 1. assign V986845 = V620874. assign V662979 = V879667. assign V974668 = V570691 - 1. assign V868511 = V437956 + 1. assign V263700 = V144427 + 1. assign V681164 = V140004. assign V106085 = V649267. assign V259394 = V765644 - 1. assign V852914 = V503793 - 1. assign V150838 = V612369. assign V191959 = V664209 + 1. assign V197796 = V227889 + 1. assign V867553 = V720891. assign V985644 = V604085 - 1. assign V375984 = V063935 - 1. assign V524921 = V653767 + 1. assign V528429 = V307979 - 1. assign V570691 = V489432. assign V530819 = V524921 - 1. assign V535778 = V262920 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V121896 = V263700. assign V327960 = V140004. assign V403520 = V294131 - 1. assign V456909 = V852914. assign V174947 = V144427 - 1. assign V819151 = V778963. assign V624394 = V228171 + 1. assign V781984 = V327960 - 1. assign V770563 = V174947 - 1. assign V925287 = V019596 + 1. assign V388525 = V327960 + 1. assign V378430 = V714413. assign V927595 = V489432. assign V437956 = V564951 - 1. assign V464254 = V541508. assign V086656 = V897298. assign V870082 = V456909 + 1. assign V556171 = V664209 + 1. assign V662546 = V298107 - 1. assign V484813 = V564951 - 1. assign V837367 = V489432 + 1. assign V144427 = V191959. assign V523426 = V263700 - 1. assign V601573 = V556171 + 1. assign V620874 = V879667 + 1. assign V879667 = V664209. assign V140923 = V836442 + 1. assign V424024 = V086656. assign V890841 = V062816 - 1. assign V718016 = V003779. assign V702230 = V773595. assign V505164 = V773595 - 1. assign V140004 = V612369. assign V104634 = V649267 + 1. assign V714413 = V013076. assign V606746 = V393894. assign V271562 = V696862 + 1. assign V663498 = V393894 + 1. assign V685970 = V263700. assign V965004 = V401129 + 1. assign V063935 = V197914. assign V118075 = V244418. assign V836442 = V606774 - 1. assign V204522 = V802685 - 1. assign V600916 = V546795 + 1. assign V778963 = V606774 + 1. assign V541508 = V925287 + 1. assign V627931 = V879667. assign V649267 = V528586 + 1. assign V012522 = V227889 + 1. assign V307979 = V778963. assign V048908 = V403520 + 1. assign V562714 = V033666 - 1. assign V677128 = V868654. assign V659416 = V868654 - 1. assign V612369 = V556171 - 1. assign V075217 = V003779 - 1. assign V726197 = V598882 - 1. assign V227889 = V503793 - 1. assign V205321 = V604085. assign V546588 = V278938 + 1. assign V916785 = V664209 - 1. assign V396631 = V033666. assign V333835 = V439886 + 1. assign V489432 = V897298 + 1. assign V727953 = V542324 - 1. assign V244418 = V489432 + 1. assign V868654 = V664209. assign V032947 = V437956 + 1. assign V696862 = V974668. assign V197914 = V562714 + 1. assign V057271 = V974668. assign V262920 = V773595. assign V294131 = V570691. assign V164347 = V033666 - 1. assign V007546 = V489432 + 1. assign V017345 = V489432 + 1. assign V881032 = V664209 - 1. assign V605295 = V927595 - 1. assign V408621 = V228494 + 1. assign V688458 = V489432. assign V003779 = V604085 + 1. assign V748429 = V677128. assign V033666 = V294131. assign V609400 = V810559 - 1. assign V013076 = V662979 + 1. assign V217398 = V677128. assign V542324 = V244418 + 1. assign V720891 = V677128 + 1. assign V089682 = V429347 - 1. assign V429347 = V227889 + 1. assign V528586 = V897298. assign V292012 = V627931. assign V228494 = V174947. assign V771948 = V606746 + 1. assign V062816 = V503793 + 1. assign V810559 = V503793 - 1. assign V138893 = V404837. assign V132420 = 9. assign V167437 = V341604. assign V783821 = V556171 + 1. assign V546795 = V144427. assign V081418 = V033666. assign V401129 = V016295 - 1. assign V783561 = V185219. assign V298107 = V974668 - 1. assign V703081 = V200284 - 1. assign V016295 = V556171 + 1. assign V341604 = V897298 + 1. assign V311285 = V815785 + 1. assign V278938 = V503793 - 1. assign V130993 = V702230. assign V200284 = V298107 - 1. assign V606774 = V489432. assign V604085 = V429347. assign V185219 = V620874 + 1. assign V457777 = V086656 + 1. assign V680027 = V604085. assign V228171 = V489432 - 1. assign V439886 = V920068 + 1. assign V891251 = V017345 + 1. assign V802685 = V294131 - 1. assign V503793 = V294131 + 1. assign V433781 = V132420 + 1. assign V835837 = V524921 + 1. assign V773595 = V437956. assign V050114 = V649267 + 1. assign V765644 = V191959. assign V598882 = V327960 + 1. assign V761643 = V144427. assign V019596 = V164347 - 1. assign V372042 = V541508 - 1. assign V653767 = V489432 - 1. assign V920068 = V164347. assign V393894 = V556171. assign V150129 = V897298 - 1. assign V518424 = V927595. assign V541377 = V057271. assign V796401 = V802685. assign V237739 = V185219. assign V564951 = V227889 - 1. assign V219164 = V150129 + 1. assign V912674 = V765644 - 1. assign V145995 = V262920 - 1. assign V468328 = V150129 - 1. assign V852198 = V150129 - 1. assign V664209 = V606774. assign V282818 = V408621. assign V815785 = V197914. assign V498011 = V765644 - 1. assign V400588 = V546795. assign V404837 = V164347 + 1. assign V986845 = V620874. assign V662979 = V879667. assign V974668 = V570691 - 1. assign V868511 = V437956 + 1. assign V263700 = V144427 + 1. assign V681164 = V140004. assign V106085 = V649267. assign V259394 = V765644 - 1. assign V852914 = V503793 - 1. assign V150838 = V612369. assign V191959 = V664209 + 1. assign V197796 = V227889 + 1. assign V867553 = V720891. assign V985644 = V604085 - 1. assign V375984 = V063935 - 1. assign V524921 = V653767 + 1. assign V528429 = V307979 - 1. assign V570691 = V489432. assign V530819 = V524921 - 1. assign V535778 = V262920 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV132420 = 9;\n\nFrom these direct assignment(s), we have: \nV433781 = V132420 + 1 = 9 + 1 =10;\nNo other variables can be derived from V433781;\nNo other variables can be derived from V132420;\n\nNow we have done all the calculations. Derived variables are:\nV132420 = 9;\nV433781 = 10;\n\nNow we have finished this problem. ANSWER:\nV433781\n", "role": "assistant" } ]

[ "V041243" ]

[ { "content": "<context>\nassign V377389 = V584657. assign V933319 = V383321 - 1. assign V346666 = V212263. assign V992078 = V364860 - 1. assign V658918 = V199388 + 1. assign V465630 = V189494. assign V892061 = V135514. assign V990344 = V585754 - 1. assign V699643 = V309449. assign V668518 = V585754 - 1. assign V354893 = V324247 + 1. assign V489615 = V599803 + 1. assign V206526 = V135514 + 1. assign V899485 = V645999 + 1. assign V392847 = V036369. assign V305006 = V023365 - 1. assign V310714 = V778531 - 1. assign V036369 = V954384 + 1. assign V187384 = V699309. assign V494984 = V778531. assign V092561 = V784870 + 1. assign V300456 = V169883 + 1. assign V133389 = V313536. assign V608531 = V346666 + 1. assign V661518 = V212263 - 1. assign V844019 = V725686 + 1. assign V599803 = V585754 + 1. assign V890146 = V774748. assign V076345 = V135514 - 1. assign V402597 = V223216 + 1. assign V139530 = V575469 + 1. assign V205109 = V448915 - 1. assign V615664 = V429440 + 1. assign V593090 = V144906 - 1. assign V857106 = V135514 + 1. assign V706471 = V012578 + 1. assign V193182 = V844019 + 1. assign V012578 = V645999. assign V083000 = V755846 + 1. assign V518102 = V990344. assign V429440 = V699309 - 1. assign V153652 = V324247 - 1. assign V496690 = V105914 + 1. assign V584657 = V946178. assign V540083 = V890146. assign V554731 = V755846. assign V537246 = V585754. assign V471302 = V376827 + 1. assign V163360 = V309449. assign V263502 = V489615. assign V292074 = V637511. assign V424658 = V840291 - 1. assign V634582 = V990344 + 1. assign V572718 = V537246. assign V346993 = V563189 - 1. assign V954384 = V756785 - 1. assign V383321 = V509204 - 1. assign V793703 = V585754 - 1. assign V895311 = V119690 + 1. assign V784870 = V592208 + 1. assign V628174 = V027628 - 1. assign V133119 = V755846 + 1. assign V400136 = V184567. assign V256552 = V699643. assign V167422 = V905010 - 1. assign V135514 = V585754. assign V324247 = V600406 - 1. assign V391148 = V699643 + 1. assign V462451 = V778531 + 1. assign V227445 = V163360 + 1. assign V943872 = V842972. assign V103156 = V343549 + 1. assign V623463 = V535668 + 1. assign V317140 = V083000. assign V856201 = V890146 - 1. assign V733566 = V842972 - 1. assign V405238 = V059332 - 1. assign V270057 = V971619 - 1. assign V487710 = V756785 - 1. assign V774748 = V634582 - 1. assign V509204 = V004088 - 1. assign V023365 = V376827 + 1. assign V013517 = V004088 - 1. assign V199388 = V865080 + 1. assign V575469 = V142368. assign V087888 = V699309 + 1. assign V396738 = V135514. assign V327054 = V840291. assign V563189 = V857106 - 1. assign V278764 = V572718. assign V313536 = V634582. assign V972499 = V083000 - 1. assign V353559 = V004088 + 1. assign V004088 = V135514 + 1. assign V636105 = V013517. assign V119690 = V585754 - 1. assign V699309 = V842972 - 1. assign V448915 = V585754 - 1. assign V169883 = V189494 + 1. assign V059332 = V755846 - 1. assign V592208 = V133119 - 1. assign V232143 = V380871 - 1. assign V773501 = V278479. assign V840291 = V865080 - 1. assign V128976 = V135514. assign V041243 = 7. assign V230835 = V600406. assign V755846 = V905010. assign V645999 = V223216 - 1. assign V526999 = V309449. assign V839177 = V036369 - 1. assign V779148 = V427990 + 1. assign V343549 = V509204 + 1. assign V127153 = V270057 - 1. assign V364860 = V554731 + 1. assign V774324 = V699643. assign V223216 = V554731. assign V865080 = V227445 + 1. assign V142368 = V487710 - 1. assign V725686 = V343549 - 1. assign V971619 = V554731. assign V330989 = V465630 - 1. assign V794151 = V396738 - 1. assign V778531 = V189494 - 1. assign V951859 = V585754 - 1. assign V568066 = V278479. assign V882334 = V163360 - 1. assign V600406 = V133119. assign V756785 = V755846 + 1. assign V535668 = V699309 + 1. assign V389353 = V083000 + 1. assign V668557 = V990344. assign V189494 = V133119 + 1. assign V376827 = V793703 + 1. assign V427990 = V126669 - 1. assign V027628 = V128976. assign V432203 = V083000. assign V192740 = V119690. assign V105914 = V036369. assign V524520 = V292074 + 1. assign V723901 = V105914. assign V781003 = V778531 + 1. assign V221997 = V773501. assign V693541 = V227445. assign V157953 = V905010. assign V999194 = V392847 + 1. assign V993615 = V857106 + 1. assign V509481 = V330989 - 1. assign V786573 = V300456 + 1. assign V760444 = V357064 + 1. assign V637511 = V036369. assign V309449 = V133119. assign V585754 = V905010 - 1. assign V516587 = V300456. assign V401954 = V357064. assign V380871 = V144906 + 1. assign V946178 = V563189 - 1. assign V184567 = V971619 - 1. assign V144906 = V774324. assign V278479 = V027628. assign V612010 = V971619 - 1. assign V985539 = V972499 + 1. assign V357064 = V167422. assign V543950 = V343549 - 1. assign V007544 = V971619. assign V212263 = V990344 + 1. assign V126669 = V128976. assign V705968 = V041243 - 1. assign V415117 = V865080. assign V842972 = V554731. assign V462536 = V568066. assign V818320 = V494984 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V377389 = V584657. assign V933319 = V383321 - 1. assign V346666 = V212263. assign V992078 = V364860 - 1. assign V658918 = V199388 + 1. assign V465630 = V189494. assign V892061 = V135514. assign V990344 = V585754 - 1. assign V699643 = V309449. assign V668518 = V585754 - 1. assign V354893 = V324247 + 1. assign V489615 = V599803 + 1. assign V206526 = V135514 + 1. assign V899485 = V645999 + 1. assign V392847 = V036369. assign V305006 = V023365 - 1. assign V310714 = V778531 - 1. assign V036369 = V954384 + 1. assign V187384 = V699309. assign V494984 = V778531. assign V092561 = V784870 + 1. assign V300456 = V169883 + 1. assign V133389 = V313536. assign V608531 = V346666 + 1. assign V661518 = V212263 - 1. assign V844019 = V725686 + 1. assign V599803 = V585754 + 1. assign V890146 = V774748. assign V076345 = V135514 - 1. assign V402597 = V223216 + 1. assign V139530 = V575469 + 1. assign V205109 = V448915 - 1. assign V615664 = V429440 + 1. assign V593090 = V144906 - 1. assign V857106 = V135514 + 1. assign V706471 = V012578 + 1. assign V193182 = V844019 + 1. assign V012578 = V645999. assign V083000 = V755846 + 1. assign V518102 = V990344. assign V429440 = V699309 - 1. assign V153652 = V324247 - 1. assign V496690 = V105914 + 1. assign V584657 = V946178. assign V540083 = V890146. assign V554731 = V755846. assign V537246 = V585754. assign V471302 = V376827 + 1. assign V163360 = V309449. assign V263502 = V489615. assign V292074 = V637511. assign V424658 = V840291 - 1. assign V634582 = V990344 + 1. assign V572718 = V537246. assign V346993 = V563189 - 1. assign V954384 = V756785 - 1. assign V383321 = V509204 - 1. assign V793703 = V585754 - 1. assign V895311 = V119690 + 1. assign V784870 = V592208 + 1. assign V628174 = V027628 - 1. assign V133119 = V755846 + 1. assign V400136 = V184567. assign V256552 = V699643. assign V167422 = V905010 - 1. assign V135514 = V585754. assign V324247 = V600406 - 1. assign V391148 = V699643 + 1. assign V462451 = V778531 + 1. assign V227445 = V163360 + 1. assign V943872 = V842972. assign V103156 = V343549 + 1. assign V623463 = V535668 + 1. assign V317140 = V083000. assign V856201 = V890146 - 1. assign V733566 = V842972 - 1. assign V405238 = V059332 - 1. assign V270057 = V971619 - 1. assign V487710 = V756785 - 1. assign V774748 = V634582 - 1. assign V509204 = V004088 - 1. assign V023365 = V376827 + 1. assign V013517 = V004088 - 1. assign V199388 = V865080 + 1. assign V575469 = V142368. assign V087888 = V699309 + 1. assign V396738 = V135514. assign V327054 = V840291. assign V563189 = V857106 - 1. assign V278764 = V572718. assign V313536 = V634582. assign V972499 = V083000 - 1. assign V353559 = V004088 + 1. assign V004088 = V135514 + 1. assign V636105 = V013517. assign V119690 = V585754 - 1. assign V699309 = V842972 - 1. assign V448915 = V585754 - 1. assign V169883 = V189494 + 1. assign V059332 = V755846 - 1. assign V592208 = V133119 - 1. assign V232143 = V380871 - 1. assign V773501 = V278479. assign V840291 = V865080 - 1. assign V128976 = V135514. assign V041243 = 7. assign V230835 = V600406. assign V755846 = V905010. assign V645999 = V223216 - 1. assign V526999 = V309449. assign V839177 = V036369 - 1. assign V779148 = V427990 + 1. assign V343549 = V509204 + 1. assign V127153 = V270057 - 1. assign V364860 = V554731 + 1. assign V774324 = V699643. assign V223216 = V554731. assign V865080 = V227445 + 1. assign V142368 = V487710 - 1. assign V725686 = V343549 - 1. assign V971619 = V554731. assign V330989 = V465630 - 1. assign V794151 = V396738 - 1. assign V778531 = V189494 - 1. assign V951859 = V585754 - 1. assign V568066 = V278479. assign V882334 = V163360 - 1. assign V600406 = V133119. assign V756785 = V755846 + 1. assign V535668 = V699309 + 1. assign V389353 = V083000 + 1. assign V668557 = V990344. assign V189494 = V133119 + 1. assign V376827 = V793703 + 1. assign V427990 = V126669 - 1. assign V027628 = V128976. assign V432203 = V083000. assign V192740 = V119690. assign V105914 = V036369. assign V524520 = V292074 + 1. assign V723901 = V105914. assign V781003 = V778531 + 1. assign V221997 = V773501. assign V693541 = V227445. assign V157953 = V905010. assign V999194 = V392847 + 1. assign V993615 = V857106 + 1. assign V509481 = V330989 - 1. assign V786573 = V300456 + 1. assign V760444 = V357064 + 1. assign V637511 = V036369. assign V309449 = V133119. assign V585754 = V905010 - 1. assign V516587 = V300456. assign V401954 = V357064. assign V380871 = V144906 + 1. assign V946178 = V563189 - 1. assign V184567 = V971619 - 1. assign V144906 = V774324. assign V278479 = V027628. assign V612010 = V971619 - 1. assign V985539 = V972499 + 1. assign V357064 = V167422. assign V543950 = V343549 - 1. assign V007544 = V971619. assign V212263 = V990344 + 1. assign V126669 = V128976. assign V705968 = V041243 - 1. assign V415117 = V865080. assign V842972 = V554731. assign V462536 = V568066. assign V818320 = V494984 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV041243 = 7;\n\nFrom these direct assignment(s), we have: \nV705968 = V041243 - 1 = 7 - 1 =6;\nNo other variables can be derived from V705968;\nNo other variables can be derived from V041243;\n\nNow we have done all the calculations. Derived variables are:\nV041243 = 7;\nV705968 = 6;\n\nNow we have finished this problem. ANSWER:\nV041243\n", "role": "assistant" } ]

[ "V637496" ]

[ { "content": "<context>\nassign V014818 = V962668 - 1. assign V383218 = V601248 + 1. assign V847792 = V240534. assign V995520 = V420630 - 1. assign V894830 = V449866. assign V685555 = V727545 + 1. assign V961489 = V675421. assign V478446 = V033068. assign V621791 = V871033 - 1. assign V475396 = V043144. assign V425832 = V759628 + 1. assign V464365 = V961489 - 1. assign V439036 = V424275 + 1. assign V672484 = V154631. assign V962668 = V914860 + 1. assign V566438 = V274166 + 1. assign V170067 = V733054 - 1. assign V483146 = V043144. assign V187732 = V978875. assign V675421 = V293737. assign V651268 = V307388 + 1. assign V361502 = V531082 - 1. assign V759628 = V131151. assign V239919 = V497903. assign V274166 = V033068 + 1. assign V596015 = V891629. assign V033068 = V733054 + 1. assign V921150 = V450381. assign V959102 = V832046 + 1. assign V008991 = V449866 + 1. assign V591852 = V131151 + 1. assign V863186 = V640856 + 1. assign V442537 = V425832 - 1. assign V322528 = V033826 - 1. assign V698573 = V675421. assign V595937 = V033826 + 1. assign V776670 = V959102 + 1. assign V449866 = V733054 + 1. assign V420630 = V475396. assign V039481 = V832046 - 1. assign V406327 = 9. assign V293737 = V449866 + 1. assign V157566 = V008991 + 1. assign V134459 = V566438 + 1. assign V386607 = V103546. assign V405304 = V978875 - 1. assign V961909 = V177584. assign V155752 = V475396. assign V131151 = V978875. assign V082402 = V275301 - 1. assign V846723 = V383947 + 1. assign V752570 = V322957 + 1. assign V531128 = V290313 + 1. assign V288143 = V797504 - 1. assign V909883 = V294804 + 1. assign V745638 = V194067 + 1. assign V573987 = V424275 - 1. assign V978875 = V449866 + 1. assign V196767 = V177584 - 1. assign V238091 = V727545. assign V640856 = V722324 + 1. assign V543622 = V177584. assign V970723 = V134186. assign V194067 = V961489. assign V394992 = V196767 + 1. assign V385637 = V424275 - 1. assign V401366 = V405304 - 1. assign V909113 = V170067 - 1. assign V866639 = V513785 + 1. assign V721766 = V513785 - 1. assign V206513 = V449866 - 1. assign V214901 = V014818 + 1. assign V895783 = V424275. assign V601248 = V848346. assign V294804 = V308953 + 1. assign V303682 = V424275 - 1. assign V728313 = V846723 + 1. assign V891629 = V322957 - 1. assign V871033 = V399721 + 1. assign V043144 = V713751 - 1. assign V117282 = V033068. assign V725711 = V475396 + 1. assign V240534 = V131151. assign V177584 = V383947 - 1. assign V521711 = V103546. assign V379106 = V995520 - 1. assign V560904 = V698573 - 1. assign V203921 = V721766 + 1. assign V609789 = V580232. assign V091755 = V518198. assign V722324 = V399721 + 1. assign V307388 = V478446. assign V513785 = V891629 - 1. assign V713751 = V439036. assign V701636 = V978875 + 1. assign V580232 = V521711 + 1. assign V604470 = V240534 - 1. assign V308953 = V541288. assign V574516 = V518198 - 1. assign V738107 = V524577 - 1. assign V600118 = V962668 + 1. assign V033184 = V914860 - 1. assign V848346 = V405304 - 1. assign V986682 = V832046 - 1. assign V348986 = V383947 - 1. assign V824905 = V275301 + 1. assign V524577 = V631144 + 1. assign V548952 = V399721. assign V134186 = V131151. assign V727545 = V391250 - 1. assign V797504 = V475396 + 1. assign V033826 = V207040 - 1. assign V531082 = V033184. assign V383947 = V293737. assign V322957 = V675421 + 1. assign V619622 = V464365. assign V388961 = V977252 - 1. assign V414221 = V388961 + 1. assign V450381 = V117282 + 1. assign V551132 = V609789. assign V110773 = V168353 + 1. assign V645488 = V096539. assign V103546 = V405304 - 1. assign V350135 = V131151 + 1. assign V128591 = V961489. assign V886870 = V573987 + 1. assign V004065 = V914860 - 1. assign V575025 = V675421. assign V910636 = V895783 + 1. assign V049271 = V128591. assign V406341 = V473431 + 1. assign V541288 = V399721 - 1. assign V156175 = V478446 + 1. assign V290313 = V846723. assign V292800 = V383947 - 1. assign V500565 = V196767. assign V069333 = V580232 + 1. assign V075715 = V177584. assign V896328 = V008991 - 1. assign V207040 = V698573 - 1. assign V914860 = V424275. assign V627705 = V910636 - 1. assign V275301 = V293737. assign V168353 = V206513. assign V473431 = V156175. assign V829158 = V103546 + 1. assign V154631 = V439036 + 1. assign V518198 = V103546 + 1. assign V977252 = V348986 - 1. assign V837835 = V596015 + 1. assign V245257 = V187732 + 1. assign V724730 = V134459 - 1. assign V391250 = V675421. assign V343315 = V207040 + 1. assign V682340 = V733054 - 1. assign V631144 = V420630. assign V705590 = V275301 - 1. assign V557922 = V543622. assign V812238 = V977252 - 1. assign V801975 = V531128. assign V637496 = V406327 - 1. assign V832046 = V891629 - 1. assign V424275 = V575025 - 1. assign V399721 = V566438 + 1. assign V497903 = V475396 + 1. assign V652850 = V043144. assign V096539 = V043144 + 1. assign V096097 = V914860 + 1. assign V346458 = V043144 - 1. assign V865769 = V601248 + 1. assign V781039 = V812238 + 1. assign V112660 = V322957 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V014818 = V962668 - 1. assign V383218 = V601248 + 1. assign V847792 = V240534. assign V995520 = V420630 - 1. assign V894830 = V449866. assign V685555 = V727545 + 1. assign V961489 = V675421. assign V478446 = V033068. assign V621791 = V871033 - 1. assign V475396 = V043144. assign V425832 = V759628 + 1. assign V464365 = V961489 - 1. assign V439036 = V424275 + 1. assign V672484 = V154631. assign V962668 = V914860 + 1. assign V566438 = V274166 + 1. assign V170067 = V733054 - 1. assign V483146 = V043144. assign V187732 = V978875. assign V675421 = V293737. assign V651268 = V307388 + 1. assign V361502 = V531082 - 1. assign V759628 = V131151. assign V239919 = V497903. assign V274166 = V033068 + 1. assign V596015 = V891629. assign V033068 = V733054 + 1. assign V921150 = V450381. assign V959102 = V832046 + 1. assign V008991 = V449866 + 1. assign V591852 = V131151 + 1. assign V863186 = V640856 + 1. assign V442537 = V425832 - 1. assign V322528 = V033826 - 1. assign V698573 = V675421. assign V595937 = V033826 + 1. assign V776670 = V959102 + 1. assign V449866 = V733054 + 1. assign V420630 = V475396. assign V039481 = V832046 - 1. assign V406327 = 9. assign V293737 = V449866 + 1. assign V157566 = V008991 + 1. assign V134459 = V566438 + 1. assign V386607 = V103546. assign V405304 = V978875 - 1. assign V961909 = V177584. assign V155752 = V475396. assign V131151 = V978875. assign V082402 = V275301 - 1. assign V846723 = V383947 + 1. assign V752570 = V322957 + 1. assign V531128 = V290313 + 1. assign V288143 = V797504 - 1. assign V909883 = V294804 + 1. assign V745638 = V194067 + 1. assign V573987 = V424275 - 1. assign V978875 = V449866 + 1. assign V196767 = V177584 - 1. assign V238091 = V727545. assign V640856 = V722324 + 1. assign V543622 = V177584. assign V970723 = V134186. assign V194067 = V961489. assign V394992 = V196767 + 1. assign V385637 = V424275 - 1. assign V401366 = V405304 - 1. assign V909113 = V170067 - 1. assign V866639 = V513785 + 1. assign V721766 = V513785 - 1. assign V206513 = V449866 - 1. assign V214901 = V014818 + 1. assign V895783 = V424275. assign V601248 = V848346. assign V294804 = V308953 + 1. assign V303682 = V424275 - 1. assign V728313 = V846723 + 1. assign V891629 = V322957 - 1. assign V871033 = V399721 + 1. assign V043144 = V713751 - 1. assign V117282 = V033068. assign V725711 = V475396 + 1. assign V240534 = V131151. assign V177584 = V383947 - 1. assign V521711 = V103546. assign V379106 = V995520 - 1. assign V560904 = V698573 - 1. assign V203921 = V721766 + 1. assign V609789 = V580232. assign V091755 = V518198. assign V722324 = V399721 + 1. assign V307388 = V478446. assign V513785 = V891629 - 1. assign V713751 = V439036. assign V701636 = V978875 + 1. assign V580232 = V521711 + 1. assign V604470 = V240534 - 1. assign V308953 = V541288. assign V574516 = V518198 - 1. assign V738107 = V524577 - 1. assign V600118 = V962668 + 1. assign V033184 = V914860 - 1. assign V848346 = V405304 - 1. assign V986682 = V832046 - 1. assign V348986 = V383947 - 1. assign V824905 = V275301 + 1. assign V524577 = V631144 + 1. assign V548952 = V399721. assign V134186 = V131151. assign V727545 = V391250 - 1. assign V797504 = V475396 + 1. assign V033826 = V207040 - 1. assign V531082 = V033184. assign V383947 = V293737. assign V322957 = V675421 + 1. assign V619622 = V464365. assign V388961 = V977252 - 1. assign V414221 = V388961 + 1. assign V450381 = V117282 + 1. assign V551132 = V609789. assign V110773 = V168353 + 1. assign V645488 = V096539. assign V103546 = V405304 - 1. assign V350135 = V131151 + 1. assign V128591 = V961489. assign V886870 = V573987 + 1. assign V004065 = V914860 - 1. assign V575025 = V675421. assign V910636 = V895783 + 1. assign V049271 = V128591. assign V406341 = V473431 + 1. assign V541288 = V399721 - 1. assign V156175 = V478446 + 1. assign V290313 = V846723. assign V292800 = V383947 - 1. assign V500565 = V196767. assign V069333 = V580232 + 1. assign V075715 = V177584. assign V896328 = V008991 - 1. assign V207040 = V698573 - 1. assign V914860 = V424275. assign V627705 = V910636 - 1. assign V275301 = V293737. assign V168353 = V206513. assign V473431 = V156175. assign V829158 = V103546 + 1. assign V154631 = V439036 + 1. assign V518198 = V103546 + 1. assign V977252 = V348986 - 1. assign V837835 = V596015 + 1. assign V245257 = V187732 + 1. assign V724730 = V134459 - 1. assign V391250 = V675421. assign V343315 = V207040 + 1. assign V682340 = V733054 - 1. assign V631144 = V420630. assign V705590 = V275301 - 1. assign V557922 = V543622. assign V812238 = V977252 - 1. assign V801975 = V531128. assign V637496 = V406327 - 1. assign V832046 = V891629 - 1. assign V424275 = V575025 - 1. assign V399721 = V566438 + 1. assign V497903 = V475396 + 1. assign V652850 = V043144. assign V096539 = V043144 + 1. assign V096097 = V914860 + 1. assign V346458 = V043144 - 1. assign V865769 = V601248 + 1. assign V781039 = V812238 + 1. assign V112660 = V322957 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV406327 = 9;\n\nFrom these direct assignment(s), we have: \nV637496 = V406327 - 1 = 9 - 1 =8;\nNo other variables can be derived from V637496;\nNo other variables can be derived from V406327;\n\nNow we have done all the calculations. Derived variables are:\nV406327 = 9;\nV637496 = 8;\n\nNow we have finished this problem. ANSWER:\nV637496\n", "role": "assistant" } ]

[ "V059707" ]

[ { "content": "<context>\nassign V930922 = V172463 - 1. assign V889374 = V683221 - 1. assign V195065 = V000744. assign V555933 = V882197. assign V550907 = V639380 + 1. assign V211017 = V116216 + 1. assign V806053 = V797678 + 1. assign V308215 = V517824. assign V498705 = V789149 - 1. assign V746524 = V789149 + 1. assign V494821 = V012021. assign V691673 = V762288. assign V145451 = V944858 - 1. assign V699618 = V448895. assign V910744 = V589851 + 1. assign V000744 = V978605. assign V977908 = V349227. assign V286368 = V471182 - 1. assign V919749 = V308215 - 1. assign V554786 = V988573. assign V349227 = V484837. assign V629072 = V978605 - 1. assign V694835 = V653972. assign V762288 = V374253 + 1. assign V463321 = V662835 - 1. assign V997148 = V121918 - 1. assign V002874 = V169389 - 1. assign V735277 = V797678 - 1. assign V840915 = V241841 - 1. assign V241841 = V696512 + 1. assign V100659 = V116216 - 1. assign V307467 = V930922 + 1. assign V508143 = V573410. assign V517824 = V116216 - 1. assign V669031 = V785594 - 1. assign V653972 = V116216 - 1. assign V630779 = V052548. assign V428462 = V498705 - 1. assign V670378 = V052327 + 1. assign V519235 = V589851 + 1. assign V729576 = V570284. assign V789149 = V977908 - 1. assign V944858 = V318993 + 1. assign V852067 = V374253 + 1. assign V651548 = V116216. assign V997229 = V621775 - 1. assign V826366 = V726666. assign V988573 = V382824 + 1. assign V012021 = V385118 - 1. assign V392374 = V565134 + 1. assign V200143 = V621775 - 1. assign V882197 = V821398 - 1. assign V589851 = V428462 - 1. assign V051324 = V471182. assign V052327 = V318993 + 1. assign V113642 = V145451. assign V161799 = V573410 - 1. assign V564808 = V843211 - 1. assign V696512 = V382824. assign V931145 = V002874 - 1. assign V224725 = V161799 - 1. assign V074287 = V565134 + 1. assign V090775 = V684764. assign V192071 = V045334. assign V471182 = V094045. assign V561960 = V797678. assign V638509 = V382824 + 1. assign V121918 = V629072. assign V947614 = V910744. assign V169389 = V308215 - 1. assign V744856 = V880941 - 1. assign V297883 = V517824. assign V555868 = V172463. assign V123089 = V684764 + 1. assign V047625 = V785594 - 1. assign V247308 = V045334. assign V770376 = V057990. assign V978605 = V100659 + 1. assign V040159 = V493858. assign V926348 = V333954 + 1. assign V173515 = V471182 + 1. assign V172463 = V052548 - 1. assign V377672 = V554786 + 1. assign V520808 = V797678 - 1. assign V439040 = V121918. assign V333954 = V121918 + 1. assign V899288 = V978605. assign V798478 = V919749. assign V309648 = V382824. assign V673085 = V919681. assign V951407 = V517824 + 1. assign V587797 = V211017. assign V128954 = V090775 + 1. assign V921979 = V439040. assign V417853 = V673085. assign V493858 = V463321 - 1. assign V573410 = V297883 - 1. assign V484837 = V297883 + 1. assign V441112 = V145451 - 1. assign V792933 = V978605 + 1. assign V069116 = V113642. assign V536571 = V045334 - 1. assign V182145 = V349227. assign V570284 = V045334 - 1. assign V662780 = V297883. assign V638274 = V052548. assign V834860 = V074287 + 1. assign V737645 = V045334 + 1. assign V478191 = V554786. assign V258402 = V145451 - 1. assign V318993 = V100659. assign V038590 = V428462 + 1. assign V976566 = V683221. assign V662835 = V116216. assign V252511 = V441112. assign V998600 = V113642 + 1. assign V013421 = V074287 + 1. assign V094045 = V308215. assign V758599 = V476342. assign V639380 = V318993 + 1. assign V843211 = V573410 + 1. assign V888251 = V951407 + 1. assign V741028 = V821398 + 1. assign V052548 = V116216 - 1. assign V890122 = V445654 - 1. assign V684764 = V308215. assign V785594 = V470990 - 1. assign V510206 = V476342 - 1. assign V224976 = V978605 - 1. assign V470990 = V094045. assign V621775 = V382824 - 1. assign V726666 = V669031 + 1. assign V057990 = V382824 + 1. assign V683221 = V471182 - 1. assign V415803 = V639380 - 1. assign V278007 = V045334. assign V382824 = V211017 + 1. assign V374253 = V470990 - 1. assign V448895 = V484837 - 1. assign V208029 = V094045 + 1. assign V565134 = V297883. assign V310850 = V045334 - 1. assign V385118 = V094045 - 1. assign V821398 = V286368 - 1. assign V530302 = V052327 - 1. assign V476342 = V428462 - 1. assign V028272 = V013421 - 1. assign V906434 = V662835. assign V353463 = V638274. assign V059707 = 9. assign V547967 = V785594 + 1. assign V484790 = V561960 + 1. assign V099588 = V785594 + 1. assign V412782 = V059707 - 1. assign V236013 = V116216. assign V750521 = V554786 + 1. assign V256977 = V651548. assign V880941 = V662835 + 1. assign V797678 = V471182. assign V077044 = V683221 - 1. assign V318680 = V417853 + 1. assign V196182 = V415803 - 1. assign V445654 = V374253 - 1. assign V310710 = V735277. assign V427312 = V476342 - 1. assign V046633 = V297883 - 1. assign V715443 = V746524 - 1. assign V045334 = V297883 + 1. assign V048557 = V910744 + 1. assign V466106 = V882197 - 1. assign V408727 = V798478 - 1. assign V919681 = V051324.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V930922 = V172463 - 1. assign V889374 = V683221 - 1. assign V195065 = V000744. assign V555933 = V882197. assign V550907 = V639380 + 1. assign V211017 = V116216 + 1. assign V806053 = V797678 + 1. assign V308215 = V517824. assign V498705 = V789149 - 1. assign V746524 = V789149 + 1. assign V494821 = V012021. assign V691673 = V762288. assign V145451 = V944858 - 1. assign V699618 = V448895. assign V910744 = V589851 + 1. assign V000744 = V978605. assign V977908 = V349227. assign V286368 = V471182 - 1. assign V919749 = V308215 - 1. assign V554786 = V988573. assign V349227 = V484837. assign V629072 = V978605 - 1. assign V694835 = V653972. assign V762288 = V374253 + 1. assign V463321 = V662835 - 1. assign V997148 = V121918 - 1. assign V002874 = V169389 - 1. assign V735277 = V797678 - 1. assign V840915 = V241841 - 1. assign V241841 = V696512 + 1. assign V100659 = V116216 - 1. assign V307467 = V930922 + 1. assign V508143 = V573410. assign V517824 = V116216 - 1. assign V669031 = V785594 - 1. assign V653972 = V116216 - 1. assign V630779 = V052548. assign V428462 = V498705 - 1. assign V670378 = V052327 + 1. assign V519235 = V589851 + 1. assign V729576 = V570284. assign V789149 = V977908 - 1. assign V944858 = V318993 + 1. assign V852067 = V374253 + 1. assign V651548 = V116216. assign V997229 = V621775 - 1. assign V826366 = V726666. assign V988573 = V382824 + 1. assign V012021 = V385118 - 1. assign V392374 = V565134 + 1. assign V200143 = V621775 - 1. assign V882197 = V821398 - 1. assign V589851 = V428462 - 1. assign V051324 = V471182. assign V052327 = V318993 + 1. assign V113642 = V145451. assign V161799 = V573410 - 1. assign V564808 = V843211 - 1. assign V696512 = V382824. assign V931145 = V002874 - 1. assign V224725 = V161799 - 1. assign V074287 = V565134 + 1. assign V090775 = V684764. assign V192071 = V045334. assign V471182 = V094045. assign V561960 = V797678. assign V638509 = V382824 + 1. assign V121918 = V629072. assign V947614 = V910744. assign V169389 = V308215 - 1. assign V744856 = V880941 - 1. assign V297883 = V517824. assign V555868 = V172463. assign V123089 = V684764 + 1. assign V047625 = V785594 - 1. assign V247308 = V045334. assign V770376 = V057990. assign V978605 = V100659 + 1. assign V040159 = V493858. assign V926348 = V333954 + 1. assign V173515 = V471182 + 1. assign V172463 = V052548 - 1. assign V377672 = V554786 + 1. assign V520808 = V797678 - 1. assign V439040 = V121918. assign V333954 = V121918 + 1. assign V899288 = V978605. assign V798478 = V919749. assign V309648 = V382824. assign V673085 = V919681. assign V951407 = V517824 + 1. assign V587797 = V211017. assign V128954 = V090775 + 1. assign V921979 = V439040. assign V417853 = V673085. assign V493858 = V463321 - 1. assign V573410 = V297883 - 1. assign V484837 = V297883 + 1. assign V441112 = V145451 - 1. assign V792933 = V978605 + 1. assign V069116 = V113642. assign V536571 = V045334 - 1. assign V182145 = V349227. assign V570284 = V045334 - 1. assign V662780 = V297883. assign V638274 = V052548. assign V834860 = V074287 + 1. assign V737645 = V045334 + 1. assign V478191 = V554786. assign V258402 = V145451 - 1. assign V318993 = V100659. assign V038590 = V428462 + 1. assign V976566 = V683221. assign V662835 = V116216. assign V252511 = V441112. assign V998600 = V113642 + 1. assign V013421 = V074287 + 1. assign V094045 = V308215. assign V758599 = V476342. assign V639380 = V318993 + 1. assign V843211 = V573410 + 1. assign V888251 = V951407 + 1. assign V741028 = V821398 + 1. assign V052548 = V116216 - 1. assign V890122 = V445654 - 1. assign V684764 = V308215. assign V785594 = V470990 - 1. assign V510206 = V476342 - 1. assign V224976 = V978605 - 1. assign V470990 = V094045. assign V621775 = V382824 - 1. assign V726666 = V669031 + 1. assign V057990 = V382824 + 1. assign V683221 = V471182 - 1. assign V415803 = V639380 - 1. assign V278007 = V045334. assign V382824 = V211017 + 1. assign V374253 = V470990 - 1. assign V448895 = V484837 - 1. assign V208029 = V094045 + 1. assign V565134 = V297883. assign V310850 = V045334 - 1. assign V385118 = V094045 - 1. assign V821398 = V286368 - 1. assign V530302 = V052327 - 1. assign V476342 = V428462 - 1. assign V028272 = V013421 - 1. assign V906434 = V662835. assign V353463 = V638274. assign V059707 = 9. assign V547967 = V785594 + 1. assign V484790 = V561960 + 1. assign V099588 = V785594 + 1. assign V412782 = V059707 - 1. assign V236013 = V116216. assign V750521 = V554786 + 1. assign V256977 = V651548. assign V880941 = V662835 + 1. assign V797678 = V471182. assign V077044 = V683221 - 1. assign V318680 = V417853 + 1. assign V196182 = V415803 - 1. assign V445654 = V374253 - 1. assign V310710 = V735277. assign V427312 = V476342 - 1. assign V046633 = V297883 - 1. assign V715443 = V746524 - 1. assign V045334 = V297883 + 1. assign V048557 = V910744 + 1. assign V466106 = V882197 - 1. assign V408727 = V798478 - 1. assign V919681 = V051324.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV059707 = 9;\n\nFrom these direct assignment(s), we have: \nV412782 = V059707 - 1 = 9 - 1 =8;\nNo other variables can be derived from V412782;\nNo other variables can be derived from V059707;\n\nNow we have done all the calculations. Derived variables are:\nV059707 = 9;\nV412782 = 8;\n\nNow we have finished this problem. ANSWER:\nV059707\n", "role": "assistant" } ]

[ "V080068" ]

[ { "content": "<context>\nassign V764964 = V453590. assign V739048 = V034359 + 1. assign V945888 = V236065. assign V236065 = V171250 + 1. assign V849401 = V902240 - 1. assign V150157 = V849401 + 1. assign V994257 = V887886 - 1. assign V980054 = V097009 - 1. assign V746394 = V160135. assign V503730 = V748081 + 1. assign V937712 = V363021 + 1. assign V426034 = V033183 - 1. assign V773721 = V426034. assign V090819 = V363021. assign V902240 = V925566 - 1. assign V983225 = V671053. assign V196395 = V657842 - 1. assign V446205 = V469992 - 1. assign V040658 = V584913 + 1. assign V471788 = V952413 - 1. assign V700699 = V748081 - 1. assign V445021 = V887886. assign V658557 = V965690. assign V065119 = V744063 - 1. assign V031833 = V426034 - 1. assign V100123 = V097009. assign V690165 = V009896 + 1. assign V849339 = V303652 - 1. assign V556360 = V464184 - 1. assign V991364 = V647540 - 1. assign V367876 = V096623 + 1. assign V648151 = V311013. assign V279219 = V092187 - 1. assign V184294 = V945888 + 1. assign V887886 = V171250 - 1. assign V861190 = V816626 - 1. assign V076562 = V999858 - 1. assign V289588 = V887886 + 1. assign V355698 = V033183. assign V086294 = V919413 - 1. assign V060194 = V463273 + 1. assign V360995 = V744063. assign V968260 = V045103 - 1. assign V009896 = V928557. assign V645057 = V122363. assign V129156 = V303652 - 1. assign V269622 = V367876 - 1. assign V387821 = V928557 - 1. assign V959167 = V303652. assign V963681 = V387821 - 1. assign V311013 = V994257 + 1. assign V209094 = V303652. assign V745783 = V387821. assign V667736 = V610280 + 1. assign V995625 = V925566 - 1. assign V247526 = V244629 + 1. assign V505320 = V368973 + 1. assign V866367 = V993112 + 1. assign V548438 = V503730 - 1. assign V934303 = V700699 - 1. assign V687014 = V664545 - 1. assign V508908 = V816626 - 1. assign V639015 = V092187 - 1. assign V527761 = V993112. assign V096623 = V171250 - 1. assign V062921 = V887886 - 1. assign V715948 = V033183. assign V279244 = V464184. assign V216961 = V999858. assign V594147 = V548438 - 1. assign V031863 = V205352. assign V288829 = V862020. assign V132979 = V690165 + 1. assign V097009 = V033183 + 1. assign V627439 = V368851 - 1. assign V245975 = 4. assign V928557 = V426034. assign V454176 = V928557 - 1. assign V464652 = V150157 + 1. assign V584913 = V408690. assign V469992 = V952413 + 1. assign V227516 = V744063 - 1. assign V273057 = V368973 + 1. assign V757006 = V671053 + 1. assign V568574 = V861190 - 1. assign V303652 = V671053 + 1. assign V748081 = V368973 - 1. assign V744063 = V311013 + 1. assign V952413 = V748081 - 1. assign V581405 = V422475. assign V230160 = V503730 - 1. assign V993112 = V983225 + 1. assign V352153 = V289588 + 1. assign V676279 = V923361 + 1. assign V762861 = V300370. assign V762942 = V009896 + 1. assign V228289 = V009896 - 1. assign V464886 = V671053 - 1. assign V925566 = V744063. assign V740427 = V289588 + 1. assign V206369 = V503184 - 1. assign V244629 = V647012. assign V463273 = V744063 + 1. assign V048371 = V471788. assign V242885 = V009896 - 1. assign V664545 = V289588. assign V879699 = V464184 - 1. assign V657842 = V464184. assign V122363 = V387821 + 1. assign V965690 = V090819 + 1. assign V793191 = V244629. assign V863520 = V009896 - 1. assign V160135 = V994257. assign V819217 = V031833 - 1. assign V054724 = V187890. assign V736097 = V033183 - 1. assign V617148 = V196395 - 1. assign V726619 = V647540. assign V279939 = V610280 + 1. assign V001069 = V096623 - 1. assign V956621 = V715948 - 1. assign V085302 = V690970 - 1. assign V923361 = V995625 + 1. assign V582223 = V667736. assign V171250 = V918747. assign V788183 = V236065 - 1. assign V578640 = V937712. assign V453590 = V726619 - 1. assign V034359 = V762942 - 1. assign V326508 = V363021. assign V671053 = V918747 - 1. assign V187890 = V454176 + 1. assign V080068 = V245975 - 1. assign V664448 = V464886 + 1. assign V196528 = V408690. assign V738356 = V228289 - 1. assign V582389 = V033183. assign V866150 = V983225 + 1. assign V363021 = V311013 - 1. assign V368973 = V033183 - 1. assign V610280 = V279219 + 1. assign V135318 = V463273 - 1. assign V816626 = V387821 - 1. assign V995722 = V228289. assign V408690 = V065119 + 1. assign V367348 = V426034 + 1. assign V422475 = V994257. assign V205352 = V216961. assign V971388 = V464886 + 1. assign V289882 = V009896 + 1. assign V492806 = V887886. assign V393160 = V464886 - 1. assign V503184 = V187890. assign V975953 = V160135. assign V447013 = V342450 - 1. assign V092187 = V033183 + 1. assign V300370 = V556360 - 1. assign V647012 = V918747 + 1. assign V999858 = V744063 - 1. assign V342450 = V009896 + 1. assign V855615 = V736097 + 1. assign V243492 = V216961. assign V918747 = V033183. assign V647540 = V311013 - 1. assign V045103 = V748081 - 1. assign V690970 = V937712 + 1. assign V464184 = V045103. assign V368851 = V090819 - 1. assign V919413 = V762942. assign V965868 = V503730 - 1. assign V153133 = V187890 - 1. assign V862020 = V279219 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V764964 = V453590. assign V739048 = V034359 + 1. assign V945888 = V236065. assign V236065 = V171250 + 1. assign V849401 = V902240 - 1. assign V150157 = V849401 + 1. assign V994257 = V887886 - 1. assign V980054 = V097009 - 1. assign V746394 = V160135. assign V503730 = V748081 + 1. assign V937712 = V363021 + 1. assign V426034 = V033183 - 1. assign V773721 = V426034. assign V090819 = V363021. assign V902240 = V925566 - 1. assign V983225 = V671053. assign V196395 = V657842 - 1. assign V446205 = V469992 - 1. assign V040658 = V584913 + 1. assign V471788 = V952413 - 1. assign V700699 = V748081 - 1. assign V445021 = V887886. assign V658557 = V965690. assign V065119 = V744063 - 1. assign V031833 = V426034 - 1. assign V100123 = V097009. assign V690165 = V009896 + 1. assign V849339 = V303652 - 1. assign V556360 = V464184 - 1. assign V991364 = V647540 - 1. assign V367876 = V096623 + 1. assign V648151 = V311013. assign V279219 = V092187 - 1. assign V184294 = V945888 + 1. assign V887886 = V171250 - 1. assign V861190 = V816626 - 1. assign V076562 = V999858 - 1. assign V289588 = V887886 + 1. assign V355698 = V033183. assign V086294 = V919413 - 1. assign V060194 = V463273 + 1. assign V360995 = V744063. assign V968260 = V045103 - 1. assign V009896 = V928557. assign V645057 = V122363. assign V129156 = V303652 - 1. assign V269622 = V367876 - 1. assign V387821 = V928557 - 1. assign V959167 = V303652. assign V963681 = V387821 - 1. assign V311013 = V994257 + 1. assign V209094 = V303652. assign V745783 = V387821. assign V667736 = V610280 + 1. assign V995625 = V925566 - 1. assign V247526 = V244629 + 1. assign V505320 = V368973 + 1. assign V866367 = V993112 + 1. assign V548438 = V503730 - 1. assign V934303 = V700699 - 1. assign V687014 = V664545 - 1. assign V508908 = V816626 - 1. assign V639015 = V092187 - 1. assign V527761 = V993112. assign V096623 = V171250 - 1. assign V062921 = V887886 - 1. assign V715948 = V033183. assign V279244 = V464184. assign V216961 = V999858. assign V594147 = V548438 - 1. assign V031863 = V205352. assign V288829 = V862020. assign V132979 = V690165 + 1. assign V097009 = V033183 + 1. assign V627439 = V368851 - 1. assign V245975 = 4. assign V928557 = V426034. assign V454176 = V928557 - 1. assign V464652 = V150157 + 1. assign V584913 = V408690. assign V469992 = V952413 + 1. assign V227516 = V744063 - 1. assign V273057 = V368973 + 1. assign V757006 = V671053 + 1. assign V568574 = V861190 - 1. assign V303652 = V671053 + 1. assign V748081 = V368973 - 1. assign V744063 = V311013 + 1. assign V952413 = V748081 - 1. assign V581405 = V422475. assign V230160 = V503730 - 1. assign V993112 = V983225 + 1. assign V352153 = V289588 + 1. assign V676279 = V923361 + 1. assign V762861 = V300370. assign V762942 = V009896 + 1. assign V228289 = V009896 - 1. assign V464886 = V671053 - 1. assign V925566 = V744063. assign V740427 = V289588 + 1. assign V206369 = V503184 - 1. assign V244629 = V647012. assign V463273 = V744063 + 1. assign V048371 = V471788. assign V242885 = V009896 - 1. assign V664545 = V289588. assign V879699 = V464184 - 1. assign V657842 = V464184. assign V122363 = V387821 + 1. assign V965690 = V090819 + 1. assign V793191 = V244629. assign V863520 = V009896 - 1. assign V160135 = V994257. assign V819217 = V031833 - 1. assign V054724 = V187890. assign V736097 = V033183 - 1. assign V617148 = V196395 - 1. assign V726619 = V647540. assign V279939 = V610280 + 1. assign V001069 = V096623 - 1. assign V956621 = V715948 - 1. assign V085302 = V690970 - 1. assign V923361 = V995625 + 1. assign V582223 = V667736. assign V171250 = V918747. assign V788183 = V236065 - 1. assign V578640 = V937712. assign V453590 = V726619 - 1. assign V034359 = V762942 - 1. assign V326508 = V363021. assign V671053 = V918747 - 1. assign V187890 = V454176 + 1. assign V080068 = V245975 - 1. assign V664448 = V464886 + 1. assign V196528 = V408690. assign V738356 = V228289 - 1. assign V582389 = V033183. assign V866150 = V983225 + 1. assign V363021 = V311013 - 1. assign V368973 = V033183 - 1. assign V610280 = V279219 + 1. assign V135318 = V463273 - 1. assign V816626 = V387821 - 1. assign V995722 = V228289. assign V408690 = V065119 + 1. assign V367348 = V426034 + 1. assign V422475 = V994257. assign V205352 = V216961. assign V971388 = V464886 + 1. assign V289882 = V009896 + 1. assign V492806 = V887886. assign V393160 = V464886 - 1. assign V503184 = V187890. assign V975953 = V160135. assign V447013 = V342450 - 1. assign V092187 = V033183 + 1. assign V300370 = V556360 - 1. assign V647012 = V918747 + 1. assign V999858 = V744063 - 1. assign V342450 = V009896 + 1. assign V855615 = V736097 + 1. assign V243492 = V216961. assign V918747 = V033183. assign V647540 = V311013 - 1. assign V045103 = V748081 - 1. assign V690970 = V937712 + 1. assign V464184 = V045103. assign V368851 = V090819 - 1. assign V919413 = V762942. assign V965868 = V503730 - 1. assign V153133 = V187890 - 1. assign V862020 = V279219 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV245975 = 4;\n\nFrom these direct assignment(s), we have: \nV080068 = V245975 - 1 = 4 - 1 =3;\nNo other variables can be derived from V080068;\nNo other variables can be derived from V245975;\n\nNow we have done all the calculations. Derived variables are:\nV245975 = 4;\nV080068 = 3;\n\nNow we have finished this problem. ANSWER:\nV080068\n", "role": "assistant" } ]

[ "V820111" ]

[ { "content": "<context>\nassign V947546 = V085279 - 1. assign V263933 = V537547. assign V346739 = V908583 - 1. assign V426509 = V624344 - 1. assign V524494 = V413269 - 1. assign V639079 = V831371 + 1. assign V913563 = V400579 + 1. assign V134735 = V004218 + 1. assign V403856 = V825444 - 1. assign V273520 = V939246. assign V840201 = V346739 + 1. assign V800863 = V660187 + 1. assign V500386 = V037847. assign V548914 = V067723. assign V465937 = V345432 - 1. assign V612478 = V660187. assign V400579 = V037847 + 1. assign V464223 = V548914 + 1. assign V842199 = V426509 + 1. assign V515880 = V426509 + 1. assign V939246 = V884814 + 1. assign V850309 = V194015 - 1. assign V882392 = V607912 - 1. assign V607912 = V854783 - 1. assign V853553 = V825444 + 1. assign V184460 = V641531. assign V848953 = V574776 + 1. assign V402380 = V100498 - 1. assign V950814 = V917272. assign V884169 = V208504 - 1. assign V678620 = V348095 - 1. assign V854783 = V624344 + 1. assign V183035 = V419207. assign V820944 = V224377 - 1. assign V044307 = V820944 - 1. assign V299898 = V660187. assign V936682 = V820944 + 1. assign V292364 = V085279 - 1. assign V215631 = V908583 - 1. assign V731245 = V296463 + 1. assign V628737 = V948537. assign V100498 = V401823 + 1. assign V570783 = V346739 + 1. assign V024891 = V323123 + 1. assign V887967 = V224377 + 1. assign V453933 = V515510 + 1. assign V395816 = V261350 - 1. assign V321255 = V372950 - 1. assign V917272 = V426509 + 1. assign V836367 = V515880. assign V652356 = V908583. assign V791820 = V194015 + 1. assign V129316 = V224377 + 1. assign V002263 = V854783 + 1. assign V852219 = V400579. assign V948537 = V194107 + 1. assign V372366 = V082582 + 1. assign V194107 = V004218 - 1. assign V089160 = V710336. assign V634615 = V594364. assign V085279 = V037847 - 1. assign V515510 = V422385 - 1. assign V831371 = V936682 - 1. assign V702565 = V372950 - 1. assign V884814 = V082582 + 1. assign V422385 = V037847 + 1. assign V496452 = V515880 + 1. assign V118336 = V082582 + 1. assign V384177 = V122993. assign V442549 = V901519 + 1. assign V591741 = V842199 - 1. assign V433475 = V345432. assign V077692 = V261350 + 1. assign V391293 = V825444. assign V020212 = V913563 - 1. assign V140923 = V336476. assign V526880 = V422385. assign V618626 = V641136 + 1. assign V867098 = V917272. assign V820111 = V982045 + 1. assign V653987 = V336476 + 1. assign V372950 = V623931 - 1. assign V177683 = V224377 - 1. assign V194015 = V710336. assign V903356 = V348095 - 1. assign V570462 = V936682. assign V641136 = V177683. assign V004218 = V426509 - 1. assign V323123 = V500386. assign V232992 = V903356 + 1. assign V007585 = V323123 + 1. assign V513352 = V686008. assign V920547 = V346739 + 1. assign V982045 = 8. assign V518750 = V273520 - 1. assign V636160 = V612493 + 1. assign V528788 = V570783 + 1. assign V173264 = V561337 + 1. assign V537547 = V820944 + 1. assign V867704 = V273520. assign V413269 = V901519 - 1. assign V530883 = V133352 - 1. assign V594364 = V346739. assign V890325 = V173264. assign V901519 = V400579. assign V296463 = V831371. assign V466226 = V624344. assign V871302 = V867098 + 1. assign V224377 = V292364. assign V037847 = V426509 + 1. assign V753720 = V396067 - 1. assign V936034 = V224377 + 1. assign V336476 = V618626 + 1. assign V618659 = V500386. assign V401823 = V292364 + 1. assign V165415 = V735440 + 1. assign V935717 = V513352 + 1. assign V380314 = V851528 - 1. assign V648975 = V917272 - 1. assign V845874 = V710336. assign V641531 = V901519 - 1. assign V067045 = V299898 - 1. assign V400754 = V194015 + 1. assign V129400 = V292364 - 1. assign V735440 = V867098 - 1. assign V122993 = V047269 - 1. assign V093847 = V947546. assign V992272 = V401823 - 1. assign V706221 = V140923 + 1. assign V067723 = V574776 + 1. assign V208504 = V850309. assign V293356 = V466226 - 1. assign V825444 = V612478 - 1. assign V082582 = V686008 + 1. assign V579916 = V419207. assign V249914 = V526880 + 1. assign V647362 = V093847 - 1. assign V053210 = V426509 - 1. assign V107217 = V261350 - 1. assign V345432 = V047269 - 1. assign V561337 = V224377 - 1. assign V047269 = V002263 - 1. assign V637259 = V840201 + 1. assign V710336 = V004218 - 1. assign V419207 = V624344 - 1. assign V270577 = V004218 - 1. assign V170987 = V261350 + 1. assign V612493 = V413269 + 1. assign V574776 = V419207 + 1. assign V293037 = V177683 - 1. assign V348095 = V753720 + 1. assign V908583 = V426509 - 1. assign V851528 = V047269 + 1. assign V407724 = V419207. assign V703141 = V261350. assign V261350 = V400579 - 1. assign V128807 = V002263 - 1. assign V623931 = V422385. assign V627323 = V177683. assign V851807 = V044307 - 1. assign V515095 = V515880 + 1. assign V133352 = V004218 + 1. assign V686008 = V710336 - 1. assign V660187 = V396067 - 1. assign V396067 = V901519 - 1. assign V267929 = V323123 + 1. assign V609087 = V348095 - 1. assign V990979 = V709284. assign V736337 = V422385. assign V845912 = V840201 - 1. assign V080221 = V177683 + 1. assign V709284 = V524494.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V947546 = V085279 - 1. assign V263933 = V537547. assign V346739 = V908583 - 1. assign V426509 = V624344 - 1. assign V524494 = V413269 - 1. assign V639079 = V831371 + 1. assign V913563 = V400579 + 1. assign V134735 = V004218 + 1. assign V403856 = V825444 - 1. assign V273520 = V939246. assign V840201 = V346739 + 1. assign V800863 = V660187 + 1. assign V500386 = V037847. assign V548914 = V067723. assign V465937 = V345432 - 1. assign V612478 = V660187. assign V400579 = V037847 + 1. assign V464223 = V548914 + 1. assign V842199 = V426509 + 1. assign V515880 = V426509 + 1. assign V939246 = V884814 + 1. assign V850309 = V194015 - 1. assign V882392 = V607912 - 1. assign V607912 = V854783 - 1. assign V853553 = V825444 + 1. assign V184460 = V641531. assign V848953 = V574776 + 1. assign V402380 = V100498 - 1. assign V950814 = V917272. assign V884169 = V208504 - 1. assign V678620 = V348095 - 1. assign V854783 = V624344 + 1. assign V183035 = V419207. assign V820944 = V224377 - 1. assign V044307 = V820944 - 1. assign V299898 = V660187. assign V936682 = V820944 + 1. assign V292364 = V085279 - 1. assign V215631 = V908583 - 1. assign V731245 = V296463 + 1. assign V628737 = V948537. assign V100498 = V401823 + 1. assign V570783 = V346739 + 1. assign V024891 = V323123 + 1. assign V887967 = V224377 + 1. assign V453933 = V515510 + 1. assign V395816 = V261350 - 1. assign V321255 = V372950 - 1. assign V917272 = V426509 + 1. assign V836367 = V515880. assign V652356 = V908583. assign V791820 = V194015 + 1. assign V129316 = V224377 + 1. assign V002263 = V854783 + 1. assign V852219 = V400579. assign V948537 = V194107 + 1. assign V372366 = V082582 + 1. assign V194107 = V004218 - 1. assign V089160 = V710336. assign V634615 = V594364. assign V085279 = V037847 - 1. assign V515510 = V422385 - 1. assign V831371 = V936682 - 1. assign V702565 = V372950 - 1. assign V884814 = V082582 + 1. assign V422385 = V037847 + 1. assign V496452 = V515880 + 1. assign V118336 = V082582 + 1. assign V384177 = V122993. assign V442549 = V901519 + 1. assign V591741 = V842199 - 1. assign V433475 = V345432. assign V077692 = V261350 + 1. assign V391293 = V825444. assign V020212 = V913563 - 1. assign V140923 = V336476. assign V526880 = V422385. assign V618626 = V641136 + 1. assign V867098 = V917272. assign V820111 = V982045 + 1. assign V653987 = V336476 + 1. assign V372950 = V623931 - 1. assign V177683 = V224377 - 1. assign V194015 = V710336. assign V903356 = V348095 - 1. assign V570462 = V936682. assign V641136 = V177683. assign V004218 = V426509 - 1. assign V323123 = V500386. assign V232992 = V903356 + 1. assign V007585 = V323123 + 1. assign V513352 = V686008. assign V920547 = V346739 + 1. assign V982045 = 8. assign V518750 = V273520 - 1. assign V636160 = V612493 + 1. assign V528788 = V570783 + 1. assign V173264 = V561337 + 1. assign V537547 = V820944 + 1. assign V867704 = V273520. assign V413269 = V901519 - 1. assign V530883 = V133352 - 1. assign V594364 = V346739. assign V890325 = V173264. assign V901519 = V400579. assign V296463 = V831371. assign V466226 = V624344. assign V871302 = V867098 + 1. assign V224377 = V292364. assign V037847 = V426509 + 1. assign V753720 = V396067 - 1. assign V936034 = V224377 + 1. assign V336476 = V618626 + 1. assign V618659 = V500386. assign V401823 = V292364 + 1. assign V165415 = V735440 + 1. assign V935717 = V513352 + 1. assign V380314 = V851528 - 1. assign V648975 = V917272 - 1. assign V845874 = V710336. assign V641531 = V901519 - 1. assign V067045 = V299898 - 1. assign V400754 = V194015 + 1. assign V129400 = V292364 - 1. assign V735440 = V867098 - 1. assign V122993 = V047269 - 1. assign V093847 = V947546. assign V992272 = V401823 - 1. assign V706221 = V140923 + 1. assign V067723 = V574776 + 1. assign V208504 = V850309. assign V293356 = V466226 - 1. assign V825444 = V612478 - 1. assign V082582 = V686008 + 1. assign V579916 = V419207. assign V249914 = V526880 + 1. assign V647362 = V093847 - 1. assign V053210 = V426509 - 1. assign V107217 = V261350 - 1. assign V345432 = V047269 - 1. assign V561337 = V224377 - 1. assign V047269 = V002263 - 1. assign V637259 = V840201 + 1. assign V710336 = V004218 - 1. assign V419207 = V624344 - 1. assign V270577 = V004218 - 1. assign V170987 = V261350 + 1. assign V612493 = V413269 + 1. assign V574776 = V419207 + 1. assign V293037 = V177683 - 1. assign V348095 = V753720 + 1. assign V908583 = V426509 - 1. assign V851528 = V047269 + 1. assign V407724 = V419207. assign V703141 = V261350. assign V261350 = V400579 - 1. assign V128807 = V002263 - 1. assign V623931 = V422385. assign V627323 = V177683. assign V851807 = V044307 - 1. assign V515095 = V515880 + 1. assign V133352 = V004218 + 1. assign V686008 = V710336 - 1. assign V660187 = V396067 - 1. assign V396067 = V901519 - 1. assign V267929 = V323123 + 1. assign V609087 = V348095 - 1. assign V990979 = V709284. assign V736337 = V422385. assign V845912 = V840201 - 1. assign V080221 = V177683 + 1. assign V709284 = V524494.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV982045 = 8;\n\nFrom these direct assignment(s), we have: \nV820111 = V982045 + 1 = 8 + 1 =9;\nNo other variables can be derived from V820111;\nNo other variables can be derived from V982045;\n\nNow we have done all the calculations. Derived variables are:\nV982045 = 8;\nV820111 = 9;\n\nNow we have finished this problem. ANSWER:\nV820111\n", "role": "assistant" } ]

[ "V815575" ]

[ { "content": "<context>\nassign V585838 = V507754 - 1. assign V562997 = V727192. assign V548164 = V562997. assign V007746 = V688137 - 1. assign V518582 = V600753 - 1. assign V778279 = V077844 - 1. assign V029657 = V585838. assign V486075 = V583387 - 1. assign V246197 = V913464 + 1. assign V065682 = V685243. assign V406195 = V007746 - 1. assign V000956 = V322829 + 1. assign V077844 = V244569 + 1. assign V434237 = V414431 + 1. assign V972465 = V571916 - 1. assign V693555 = V425112. assign V941479 = V542763 - 1. assign V717878 = V644977 + 1. assign V217401 = V098527 - 1. assign V779326 = V780082. assign V990155 = V562997. assign V706996 = V551644 + 1. assign V098527 = V688137 - 1. assign V873690 = V168256. assign V802063 = V335306 + 1. assign V258199 = V913464 + 1. assign V881426 = V066860. assign V699650 = V931427. assign V507754 = V642622 - 1. assign V290316 = V077844 - 1. assign V112895 = V990155. assign V931427 = V485162. assign V401194 = V552373 - 1. assign V122666 = V583387 - 1. assign V125004 = V881426 - 1. assign V583387 = V589267 + 1. assign V329815 = V841368 - 1. assign V092396 = V583387 + 1. assign V186391 = V973407 + 1. assign V842415 = V026824 - 1. assign V092168 = V099747 + 1. assign V780082 = V567600. assign V572987 = V309369 - 1. assign V505570 = V972465. assign V382330 = V066512 - 1. assign V729238 = V159126. assign V122192 = V856577. assign V642622 = V007746 - 1. assign V919308 = V359064. assign V995030 = V116120 + 1. assign V117692 = V760721. assign V356412 = V802063 + 1. assign V352528 = V168256 - 1. assign V583732 = V585838 - 1. assign V792467 = V729238 + 1. assign V571916 = V589267. assign V010972 = V998919 + 1. assign V232487 = V098527. assign V066512 = V141138 - 1. assign V309369 = V244569 - 1. assign V208893 = V642830 - 1. assign V777945 = V972465. assign V066860 = V168256. assign V309674 = V717878 - 1. assign V399327 = V198540. assign V727192 = V688137 + 1. assign V917938 = V729238 - 1. assign V154332 = 0. assign V159126 = V193052 + 1. assign V760721 = V973407. assign V334075 = V092396. assign V166511 = V382330 - 1. assign V244569 = V542763 + 1. assign V116120 = V548164. assign V026824 = V168256 - 1. assign V588996 = V507754. assign V819382 = V485162. assign V802655 = V277373. assign V544339 = V507754 - 1. assign V477235 = V322829. assign V470574 = V109542 + 1. assign V870879 = V136888 + 1. assign V644977 = V033955. assign V538610 = V485162 - 1. assign V642830 = V833293 + 1. assign V109542 = V555404 + 1. assign V614943 = V335306. assign V414431 = V802063 + 1. assign V552373 = V066860 + 1. assign V737897 = V600753 + 1. assign V712814 = V990155 + 1. assign V808895 = V032813 - 1. assign V542763 = V688137. assign V815575 = V154332 - 1. assign V087710 = V693555. assign V551896 = V856577 - 1. assign V277373 = V989938 - 1. assign V186293 = V870879 + 1. assign V300529 = V567600 + 1. assign V359064 = V198540 - 1. assign V833293 = V116120. assign V973407 = V244569. assign V567600 = V414431 + 1. assign V573861 = V642622 - 1. assign V033955 = V306394. assign V137838 = V246197 - 1. assign V270733 = V208893 - 1. assign V600753 = V562997 + 1. assign V998919 = V014210. assign V326171 = V589267 + 1. assign V425112 = V538610 - 1. assign V485162 = V322829 - 1. assign V684935 = V222811 - 1. assign V589267 = V066860. assign V628623 = V870879 - 1. assign V555404 = V112895 + 1. assign V168256 = V322829. assign V845342 = V777945 - 1. assign V497594 = V856577 - 1. assign V136888 = V485162. assign V829414 = V777945. assign V946223 = V077844 - 1. assign V450125 = V599587 + 1. assign V141138 = V941479 - 1. assign V234702 = V931427. assign V932910 = V998919 - 1. assign V139497 = V200659 - 1. assign V099747 = V685243 + 1. assign V899519 = V164595. assign V135000 = V010972. assign V913464 = V335306 + 1. assign V014210 = V552373. assign V671700 = V688137 + 1. assign V335306 = V477235. assign V390899 = V092396 - 1. assign V222811 = V856577 + 1. assign V567301 = V802063. assign V858208 = V777945 + 1. assign V873018 = V077844 - 1. assign V373568 = V099747 - 1. assign V120140 = V538610 - 1. assign V800319 = V873690 + 1. assign V415459 = V300529 - 1. assign V385840 = V112895 - 1. assign V568016 = V335306 + 1. assign V685243 = V941479 + 1. assign V032813 = V572987 + 1. assign V164595 = V168256. assign V231944 = V026824 - 1. assign V065926 = V232487 + 1. assign V557969 = V777945 - 1. assign V436183 = V552373 - 1. assign V322829 = V098527 + 1. assign V212946 = V450895 + 1. assign V054876 = V246197 + 1. assign V599587 = V193052 + 1. assign V856577 = V688137 - 1. assign V198540 = V098527 - 1. assign V551644 = V841368 + 1. assign V193052 = V141138. assign V989938 = V497594 + 1. assign V375479 = V458219 + 1. assign V743221 = V222811 - 1. assign V841368 = V507754 + 1. assign V530243 = V414431 - 1. assign V306394 = V972465. assign V458219 = V026824 + 1. assign V017932 = V973407 + 1. assign V019779 = V065926 + 1. assign V707908 = V833293 - 1. assign V200659 = V642622. assign V450895 = V780082.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V585838 = V507754 - 1. assign V562997 = V727192. assign V548164 = V562997. assign V007746 = V688137 - 1. assign V518582 = V600753 - 1. assign V778279 = V077844 - 1. assign V029657 = V585838. assign V486075 = V583387 - 1. assign V246197 = V913464 + 1. assign V065682 = V685243. assign V406195 = V007746 - 1. assign V000956 = V322829 + 1. assign V077844 = V244569 + 1. assign V434237 = V414431 + 1. assign V972465 = V571916 - 1. assign V693555 = V425112. assign V941479 = V542763 - 1. assign V717878 = V644977 + 1. assign V217401 = V098527 - 1. assign V779326 = V780082. assign V990155 = V562997. assign V706996 = V551644 + 1. assign V098527 = V688137 - 1. assign V873690 = V168256. assign V802063 = V335306 + 1. assign V258199 = V913464 + 1. assign V881426 = V066860. assign V699650 = V931427. assign V507754 = V642622 - 1. assign V290316 = V077844 - 1. assign V112895 = V990155. assign V931427 = V485162. assign V401194 = V552373 - 1. assign V122666 = V583387 - 1. assign V125004 = V881426 - 1. assign V583387 = V589267 + 1. assign V329815 = V841368 - 1. assign V092396 = V583387 + 1. assign V186391 = V973407 + 1. assign V842415 = V026824 - 1. assign V092168 = V099747 + 1. assign V780082 = V567600. assign V572987 = V309369 - 1. assign V505570 = V972465. assign V382330 = V066512 - 1. assign V729238 = V159126. assign V122192 = V856577. assign V642622 = V007746 - 1. assign V919308 = V359064. assign V995030 = V116120 + 1. assign V117692 = V760721. assign V356412 = V802063 + 1. assign V352528 = V168256 - 1. assign V583732 = V585838 - 1. assign V792467 = V729238 + 1. assign V571916 = V589267. assign V010972 = V998919 + 1. assign V232487 = V098527. assign V066512 = V141138 - 1. assign V309369 = V244569 - 1. assign V208893 = V642830 - 1. assign V777945 = V972465. assign V066860 = V168256. assign V309674 = V717878 - 1. assign V399327 = V198540. assign V727192 = V688137 + 1. assign V917938 = V729238 - 1. assign V154332 = 0. assign V159126 = V193052 + 1. assign V760721 = V973407. assign V334075 = V092396. assign V166511 = V382330 - 1. assign V244569 = V542763 + 1. assign V116120 = V548164. assign V026824 = V168256 - 1. assign V588996 = V507754. assign V819382 = V485162. assign V802655 = V277373. assign V544339 = V507754 - 1. assign V477235 = V322829. assign V470574 = V109542 + 1. assign V870879 = V136888 + 1. assign V644977 = V033955. assign V538610 = V485162 - 1. assign V642830 = V833293 + 1. assign V109542 = V555404 + 1. assign V614943 = V335306. assign V414431 = V802063 + 1. assign V552373 = V066860 + 1. assign V737897 = V600753 + 1. assign V712814 = V990155 + 1. assign V808895 = V032813 - 1. assign V542763 = V688137. assign V815575 = V154332 - 1. assign V087710 = V693555. assign V551896 = V856577 - 1. assign V277373 = V989938 - 1. assign V186293 = V870879 + 1. assign V300529 = V567600 + 1. assign V359064 = V198540 - 1. assign V833293 = V116120. assign V973407 = V244569. assign V567600 = V414431 + 1. assign V573861 = V642622 - 1. assign V033955 = V306394. assign V137838 = V246197 - 1. assign V270733 = V208893 - 1. assign V600753 = V562997 + 1. assign V998919 = V014210. assign V326171 = V589267 + 1. assign V425112 = V538610 - 1. assign V485162 = V322829 - 1. assign V684935 = V222811 - 1. assign V589267 = V066860. assign V628623 = V870879 - 1. assign V555404 = V112895 + 1. assign V168256 = V322829. assign V845342 = V777945 - 1. assign V497594 = V856577 - 1. assign V136888 = V485162. assign V829414 = V777945. assign V946223 = V077844 - 1. assign V450125 = V599587 + 1. assign V141138 = V941479 - 1. assign V234702 = V931427. assign V932910 = V998919 - 1. assign V139497 = V200659 - 1. assign V099747 = V685243 + 1. assign V899519 = V164595. assign V135000 = V010972. assign V913464 = V335306 + 1. assign V014210 = V552373. assign V671700 = V688137 + 1. assign V335306 = V477235. assign V390899 = V092396 - 1. assign V222811 = V856577 + 1. assign V567301 = V802063. assign V858208 = V777945 + 1. assign V873018 = V077844 - 1. assign V373568 = V099747 - 1. assign V120140 = V538610 - 1. assign V800319 = V873690 + 1. assign V415459 = V300529 - 1. assign V385840 = V112895 - 1. assign V568016 = V335306 + 1. assign V685243 = V941479 + 1. assign V032813 = V572987 + 1. assign V164595 = V168256. assign V231944 = V026824 - 1. assign V065926 = V232487 + 1. assign V557969 = V777945 - 1. assign V436183 = V552373 - 1. assign V322829 = V098527 + 1. assign V212946 = V450895 + 1. assign V054876 = V246197 + 1. assign V599587 = V193052 + 1. assign V856577 = V688137 - 1. assign V198540 = V098527 - 1. assign V551644 = V841368 + 1. assign V193052 = V141138. assign V989938 = V497594 + 1. assign V375479 = V458219 + 1. assign V743221 = V222811 - 1. assign V841368 = V507754 + 1. assign V530243 = V414431 - 1. assign V306394 = V972465. assign V458219 = V026824 + 1. assign V017932 = V973407 + 1. assign V019779 = V065926 + 1. assign V707908 = V833293 - 1. assign V200659 = V642622. assign V450895 = V780082.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV154332 = 0;\n\nFrom these direct assignment(s), we have: \nV815575 = V154332 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V815575;\nNo other variables can be derived from V154332;\n\nNow we have done all the calculations. Derived variables are:\nV154332 = 0;\nV815575 = -1;\n\nNow we have finished this problem. ANSWER:\nV815575\n", "role": "assistant" } ]

[ "V818790" ]

[ { "content": "<context>\nassign V178558 = V005951. assign V597757 = V215596. assign V365967 = V662165. assign V810489 = V785100 + 1. assign V002150 = V581846 + 1. assign V423777 = V080213. assign V025985 = V080213 - 1. assign V175248 = V168460 + 1. assign V216445 = V418965 - 1. assign V886775 = V243689 - 1. assign V805334 = V575301 - 1. assign V279476 = V700572. assign V684885 = V002150 + 1. assign V121675 = V796175 + 1. assign V620216 = V613876 - 1. assign V084057 = V645200 + 1. assign V207654 = V595417 + 1. assign V336288 = V409378 - 1. assign V914235 = V745911 + 1. assign V284834 = V619101 + 1. assign V434700 = V611512 - 1. assign V562358 = V488732. assign V266953 = V836594 - 1. assign V741773 = V086092 - 1. assign V822189 = V532642. assign V587478 = V400290 - 1. assign V395962 = V707058 - 1. assign V585906 = V865015 - 1. assign V087303 = V774967. assign V279233 = V945852 - 1. assign V738611 = V647184. assign V251968 = V575301 - 1. assign V221965 = V383281 - 1. assign V086092 = V752060. assign V418965 = V035578 + 1. assign V215596 = V657953 + 1. assign V803054 = V645200. assign V141528 = V605661 - 1. assign V719728 = V750958 + 1. assign V301017 = V785100. assign V853263 = V459417 - 1. assign V662165 = V400290. assign V750958 = V035578 - 1. assign V753281 = V175248 + 1. assign V703696 = V418965. assign V625470 = V647184 + 1. assign V035258 = V534357 + 1. assign V379093 = V738611. assign V046385 = V818790 - 1. assign V268174 = V168460. assign V645200 = V836594 - 1. assign V785100 = V750958. assign V383281 = V707058. assign V126635 = V719728 - 1. assign V534357 = V553570 - 1. assign V932639 = V169901. assign V669137 = V948949 + 1. assign V416635 = V814025 - 1. assign V531686 = V865015 - 1. assign V868340 = V600230. assign V553570 = V276743. assign V700572 = V007061 + 1. assign V917594 = V923089. assign V239621 = V276743 + 1. assign V796175 = V923089 - 1. assign V420697 = V543927. assign V500042 = V752060. assign V187145 = V600230. assign V161577 = V600230. assign V509001 = V007061 + 1. assign V005951 = V080213 + 1. assign V963402 = V100908. assign V613876 = V246834. assign V356395 = V126635. assign V395546 = V168460 + 1. assign V532642 = V700572 + 1. assign V127304 = V336288. assign V605661 = V865015. assign V043855 = V082573 + 1. assign V647184 = V865015 - 1. assign V805169 = V087303 + 1. assign V611512 = V585906. assign V459417 = V752060 + 1. assign V082094 = V662165. assign V839893 = V719728 + 1. assign V169901 = V647184 + 1. assign V915874 = V750958 - 1. assign V622541 = V221965. assign V400290 = V865015 - 1. assign V191197 = V645200 + 1. assign V653774 = V619101. assign V955690 = V774967 - 1. assign V988275 = V814025 - 1. assign V059386 = V700572 - 1. assign V475406 = V750958 + 1. assign V024367 = V207654 + 1. assign V852869 = V423777 + 1. assign V580902 = V122658. assign V082573 = V647184 + 1. assign V654352 = V400290 - 1. assign V007061 = V409378 + 1. assign V831071 = V268174. assign V553963 = V613876. assign V488732 = V865015 + 1. assign V798539 = V581846 + 1. assign V657953 = V865015. assign V818790 = 3. assign V857127 = V994338 + 1. assign V080213 = V945852. assign V035578 = V865015 - 1. assign V208158 = V597757 - 1. assign V752060 = V246834. assign V312358 = V126635. assign V745911 = V531686 - 1. assign V001435 = V719728 + 1. assign V120037 = V169901. assign V923089 = V087303 + 1. assign V836594 = V605661 + 1. assign V243689 = V459417. assign V297715 = V215596 + 1. assign V255518 = V420697 + 1. assign V076587 = V418965. assign V985771 = V035258 + 1. assign V525291 = V585906 + 1. assign V376477 = V654352. assign V994338 = V400290 - 1. assign V652404 = V409378 - 1. assign V595417 = V500042. assign V544142 = V080213. assign V985256 = V035621 + 1. assign V018394 = V161577 + 1. assign V814025 = V836594 - 1. assign V954031 = V018394. assign V030929 = V945852. assign V565445 = V917594. assign V029631 = V476254 - 1. assign V168460 = V605661. assign V707058 = V409378 - 1. assign V945852 = V605661 - 1. assign V466129 = V409378 + 1. assign V600230 = V581846 - 1. assign V611732 = V647184 - 1. assign V546145 = V488732. assign V246834 = V605661. assign V979508 = V619101 + 1. assign V122658 = V276743. assign V581846 = V400290 + 1. assign V948949 = V581846 + 1. assign V774967 = V126635 - 1. assign V100908 = V700572 - 1. assign V315149 = V420697 - 1. assign V305602 = V836594 + 1. assign V944452 = V645200 + 1. assign V807394 = V945852 + 1. assign V299009 = V597757 - 1. assign V579733 = V376477 - 1. assign V958420 = V400290 - 1. assign V681826 = V613876 - 1. assign V326524 = V221965 - 1. assign V476254 = V305602. assign V306473 = V994338 - 1. assign V619101 = V750958 - 1. assign V409378 = V654352. assign V043037 = V654352 + 1. assign V543927 = V652404 - 1. assign V035621 = V836594 + 1. assign V098065 = V774967 + 1. assign V215784 = V383281. assign V785248 = V336288 - 1. assign V575301 = V509001. assign V276743 = V647184 - 1. assign V336394 = V279233 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V178558 = V005951. assign V597757 = V215596. assign V365967 = V662165. assign V810489 = V785100 + 1. assign V002150 = V581846 + 1. assign V423777 = V080213. assign V025985 = V080213 - 1. assign V175248 = V168460 + 1. assign V216445 = V418965 - 1. assign V886775 = V243689 - 1. assign V805334 = V575301 - 1. assign V279476 = V700572. assign V684885 = V002150 + 1. assign V121675 = V796175 + 1. assign V620216 = V613876 - 1. assign V084057 = V645200 + 1. assign V207654 = V595417 + 1. assign V336288 = V409378 - 1. assign V914235 = V745911 + 1. assign V284834 = V619101 + 1. assign V434700 = V611512 - 1. assign V562358 = V488732. assign V266953 = V836594 - 1. assign V741773 = V086092 - 1. assign V822189 = V532642. assign V587478 = V400290 - 1. assign V395962 = V707058 - 1. assign V585906 = V865015 - 1. assign V087303 = V774967. assign V279233 = V945852 - 1. assign V738611 = V647184. assign V251968 = V575301 - 1. assign V221965 = V383281 - 1. assign V086092 = V752060. assign V418965 = V035578 + 1. assign V215596 = V657953 + 1. assign V803054 = V645200. assign V141528 = V605661 - 1. assign V719728 = V750958 + 1. assign V301017 = V785100. assign V853263 = V459417 - 1. assign V662165 = V400290. assign V750958 = V035578 - 1. assign V753281 = V175248 + 1. assign V703696 = V418965. assign V625470 = V647184 + 1. assign V035258 = V534357 + 1. assign V379093 = V738611. assign V046385 = V818790 - 1. assign V268174 = V168460. assign V645200 = V836594 - 1. assign V785100 = V750958. assign V383281 = V707058. assign V126635 = V719728 - 1. assign V534357 = V553570 - 1. assign V932639 = V169901. assign V669137 = V948949 + 1. assign V416635 = V814025 - 1. assign V531686 = V865015 - 1. assign V868340 = V600230. assign V553570 = V276743. assign V700572 = V007061 + 1. assign V917594 = V923089. assign V239621 = V276743 + 1. assign V796175 = V923089 - 1. assign V420697 = V543927. assign V500042 = V752060. assign V187145 = V600230. assign V161577 = V600230. assign V509001 = V007061 + 1. assign V005951 = V080213 + 1. assign V963402 = V100908. assign V613876 = V246834. assign V356395 = V126635. assign V395546 = V168460 + 1. assign V532642 = V700572 + 1. assign V127304 = V336288. assign V605661 = V865015. assign V043855 = V082573 + 1. assign V647184 = V865015 - 1. assign V805169 = V087303 + 1. assign V611512 = V585906. assign V459417 = V752060 + 1. assign V082094 = V662165. assign V839893 = V719728 + 1. assign V169901 = V647184 + 1. assign V915874 = V750958 - 1. assign V622541 = V221965. assign V400290 = V865015 - 1. assign V191197 = V645200 + 1. assign V653774 = V619101. assign V955690 = V774967 - 1. assign V988275 = V814025 - 1. assign V059386 = V700572 - 1. assign V475406 = V750958 + 1. assign V024367 = V207654 + 1. assign V852869 = V423777 + 1. assign V580902 = V122658. assign V082573 = V647184 + 1. assign V654352 = V400290 - 1. assign V007061 = V409378 + 1. assign V831071 = V268174. assign V553963 = V613876. assign V488732 = V865015 + 1. assign V798539 = V581846 + 1. assign V657953 = V865015. assign V818790 = 3. assign V857127 = V994338 + 1. assign V080213 = V945852. assign V035578 = V865015 - 1. assign V208158 = V597757 - 1. assign V752060 = V246834. assign V312358 = V126635. assign V745911 = V531686 - 1. assign V001435 = V719728 + 1. assign V120037 = V169901. assign V923089 = V087303 + 1. assign V836594 = V605661 + 1. assign V243689 = V459417. assign V297715 = V215596 + 1. assign V255518 = V420697 + 1. assign V076587 = V418965. assign V985771 = V035258 + 1. assign V525291 = V585906 + 1. assign V376477 = V654352. assign V994338 = V400290 - 1. assign V652404 = V409378 - 1. assign V595417 = V500042. assign V544142 = V080213. assign V985256 = V035621 + 1. assign V018394 = V161577 + 1. assign V814025 = V836594 - 1. assign V954031 = V018394. assign V030929 = V945852. assign V565445 = V917594. assign V029631 = V476254 - 1. assign V168460 = V605661. assign V707058 = V409378 - 1. assign V945852 = V605661 - 1. assign V466129 = V409378 + 1. assign V600230 = V581846 - 1. assign V611732 = V647184 - 1. assign V546145 = V488732. assign V246834 = V605661. assign V979508 = V619101 + 1. assign V122658 = V276743. assign V581846 = V400290 + 1. assign V948949 = V581846 + 1. assign V774967 = V126635 - 1. assign V100908 = V700572 - 1. assign V315149 = V420697 - 1. assign V305602 = V836594 + 1. assign V944452 = V645200 + 1. assign V807394 = V945852 + 1. assign V299009 = V597757 - 1. assign V579733 = V376477 - 1. assign V958420 = V400290 - 1. assign V681826 = V613876 - 1. assign V326524 = V221965 - 1. assign V476254 = V305602. assign V306473 = V994338 - 1. assign V619101 = V750958 - 1. assign V409378 = V654352. assign V043037 = V654352 + 1. assign V543927 = V652404 - 1. assign V035621 = V836594 + 1. assign V098065 = V774967 + 1. assign V215784 = V383281. assign V785248 = V336288 - 1. assign V575301 = V509001. assign V276743 = V647184 - 1. assign V336394 = V279233 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV818790 = 3;\n\nFrom these direct assignment(s), we have: \nV046385 = V818790 - 1 = 3 - 1 =2;\nNo other variables can be derived from V046385;\nNo other variables can be derived from V818790;\n\nNow we have done all the calculations. Derived variables are:\nV818790 = 3;\nV046385 = 2;\n\nNow we have finished this problem. ANSWER:\nV818790\n", "role": "assistant" } ]

[ "V663862", "V961303" ]

[ { "content": "<context>\nassign V097331 = V375974 - 1. assign V375974 = V997465 - 1. assign V347191 = V399753 + 1. assign V636941 = V044760 - 1. assign V252541 = V103453 - 1. assign V547960 = V185248. assign V663862 = 10. assign V604415 = V947651 + 1. assign V064855 = V566395 - 1. assign V728683 = V851071 - 1. assign V671279 = V803977 - 1. assign V688391 = V333754 - 1. assign V438366 = V518892. assign V997465 = V975766 + 1. assign V383260 = V966258 + 1. assign V049569 = V636941 - 1. assign V825595 = V064855 - 1. assign V054920 = V857426 - 1. assign V358768 = V966258. assign V697976 = V569841. assign V751321 = V370771 + 1. assign V289264 = V252541. assign V335309 = V161978 + 1. assign V044760 = V254752 + 1. assign V966258 = V857426 + 1. assign V031405 = V518892 + 1. assign V854219 = V103453 + 1. assign V961303 = V663862. assign V441609 = V697976 - 1. assign V013669 = V631750 - 1. assign V271341 = V059886. assign V614939 = V604415 + 1. assign V319812 = V416080 + 1. assign V140249 = V610310 - 1. assign V779533 = V454287 + 1. assign V667530 = V554661 - 1. assign V430522 = V631750 + 1. assign V370771 = V375974. assign V383003 = V698863. assign V399753 = V851071 - 1. assign V429585 = V997465 - 1. assign V857426 = V997465. assign V454287 = V631750. assign V513220 = V095070 - 1. assign V303605 = V342015. assign V518892 = V083634 + 1. assign V525048 = V621184 - 1. assign V361217 = V271341 - 1. assign V334352 = V444768 + 1. assign V541397 = V558972 + 1. assign V052263 = V161978 - 1. assign V545552 = V106140 + 1. assign V030328 = V634147 - 1. assign V787370 = V538755. assign V159283 = V453196. assign V232895 = V185248 - 1. assign V761241 = V965849. assign V817737 = V851071 - 1. assign V949494 = V013669. assign V135256 = V712419 - 1. assign V432315 = V618000 - 1. assign V335595 = V254752. assign V638148 = V688391 - 1. assign V772951 = V910142 - 1. assign V105409 = V250354. assign V618000 = V324899 + 1. assign V135462 = V250354 - 1. assign V610121 = V997465. assign V602799 = V604415 + 1. assign V642582 = V636941 + 1. assign V871744 = V989250 - 1. assign V851071 = V569841 + 1. assign V464577 = V319812 - 1. assign V644791 = V851071. assign V624929 = V772951. assign V289001 = V857426. assign V009310 = V159283. assign V631750 = V044760 - 1. assign V333754 = V106140. assign V933767 = V013758 + 1. assign V938721 = V324899. assign V554661 = V921909. assign V376059 = V342015 - 1. assign V975747 = V871744 + 1. assign V916159 = V712419 + 1. assign V095070 = V054920 + 1. assign V135779 = V975766 + 1. assign V565353 = V044760 + 1. assign V592863 = V642582 + 1. assign V519332 = V558972 - 1. assign V698863 = V399753. assign V558495 = V105409 - 1. assign V490365 = V610121 + 1. assign V862784 = V185248 + 1. assign V128184 = V142884. assign V416080 = V254752. assign V083113 = V250354 + 1. assign V410545 = V569841 + 1. assign V041877 = V569841 + 1. assign V103453 = V851071. assign V956881 = V565353. assign V009557 = V862784. assign V812410 = V697976. assign V621184 = V444768 + 1. assign V925518 = V336435 - 1. assign V388700 = V698863 + 1. assign V112805 = V644791. assign V598125 = V429585. assign V143311 = V106140 - 1. assign V342015 = V621184. assign V975766 = V851071. assign V185248 = V370771 + 1. assign V074270 = V569841 - 1. assign V715425 = V142884 - 1. assign V013518 = V267663 - 1. assign V558972 = V712419 - 1. assign V962562 = V103453 + 1. assign V824526 = V538755 + 1. assign V267663 = V975766. assign V142884 = V410545 - 1. assign V336435 = V565353. assign V742144 = V335595 + 1. assign V298179 = V604415. assign V493434 = V416080. assign V796528 = V376059 + 1. assign V504427 = V044760 - 1. assign V634147 = V289264 - 1. assign V254752 = V135779 + 1. assign V130260 = V854219 + 1. assign V570538 = V794370 - 1. assign V848446 = V106140. assign V610310 = V854219 + 1. assign V531421 = V966510 + 1. assign V803977 = V851071 - 1. assign V339145 = V975766 + 1. assign V291657 = V013669 + 1. assign V712013 = V185248 + 1. assign V947651 = V569841 - 1. assign V921909 = V558972. assign V718854 = V013518 - 1. assign V566395 = V947651 + 1. assign V161978 = V135779 - 1. assign V966510 = V538755 - 1. assign V324899 = V196464 + 1. assign V945337 = V787370 - 1. assign V106140 = V851071. assign V989250 = V569841 + 1. assign V059886 = V267663. assign V805141 = V335595 - 1. assign V794370 = V604415 - 1. assign V788774 = V712419 + 1. assign V999576 = V697976 + 1. assign V956135 = V669788. assign V819562 = V962562 + 1. assign V538755 = V410545 - 1. assign V884805 = V044760. assign V083634 = V161978 - 1. assign V712419 = V416080 + 1. assign V250354 = V074270 - 1. assign V658938 = V558972 + 1. assign V390977 = V324899. assign V196464 = V044760 - 1. assign V213257 = V598125 + 1. assign V013758 = V712419. assign V453196 = V410545. assign V965849 = V444768 - 1. assign V669788 = V997465 + 1. assign V776508 = V824526 + 1. assign V823005 = V105409 + 1. assign V088780 = V712419 - 1. assign V444768 = V267663. assign V910142 = V291657.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V097331 = V375974 - 1. assign V375974 = V997465 - 1. assign V347191 = V399753 + 1. assign V636941 = V044760 - 1. assign V252541 = V103453 - 1. assign V547960 = V185248. assign V663862 = 10. assign V604415 = V947651 + 1. assign V064855 = V566395 - 1. assign V728683 = V851071 - 1. assign V671279 = V803977 - 1. assign V688391 = V333754 - 1. assign V438366 = V518892. assign V997465 = V975766 + 1. assign V383260 = V966258 + 1. assign V049569 = V636941 - 1. assign V825595 = V064855 - 1. assign V054920 = V857426 - 1. assign V358768 = V966258. assign V697976 = V569841. assign V751321 = V370771 + 1. assign V289264 = V252541. assign V335309 = V161978 + 1. assign V044760 = V254752 + 1. assign V966258 = V857426 + 1. assign V031405 = V518892 + 1. assign V854219 = V103453 + 1. assign V961303 = V663862. assign V441609 = V697976 - 1. assign V013669 = V631750 - 1. assign V271341 = V059886. assign V614939 = V604415 + 1. assign V319812 = V416080 + 1. assign V140249 = V610310 - 1. assign V779533 = V454287 + 1. assign V667530 = V554661 - 1. assign V430522 = V631750 + 1. assign V370771 = V375974. assign V383003 = V698863. assign V399753 = V851071 - 1. assign V429585 = V997465 - 1. assign V857426 = V997465. assign V454287 = V631750. assign V513220 = V095070 - 1. assign V303605 = V342015. assign V518892 = V083634 + 1. assign V525048 = V621184 - 1. assign V361217 = V271341 - 1. assign V334352 = V444768 + 1. assign V541397 = V558972 + 1. assign V052263 = V161978 - 1. assign V545552 = V106140 + 1. assign V030328 = V634147 - 1. assign V787370 = V538755. assign V159283 = V453196. assign V232895 = V185248 - 1. assign V761241 = V965849. assign V817737 = V851071 - 1. assign V949494 = V013669. assign V135256 = V712419 - 1. assign V432315 = V618000 - 1. assign V335595 = V254752. assign V638148 = V688391 - 1. assign V772951 = V910142 - 1. assign V105409 = V250354. assign V618000 = V324899 + 1. assign V135462 = V250354 - 1. assign V610121 = V997465. assign V602799 = V604415 + 1. assign V642582 = V636941 + 1. assign V871744 = V989250 - 1. assign V851071 = V569841 + 1. assign V464577 = V319812 - 1. assign V644791 = V851071. assign V624929 = V772951. assign V289001 = V857426. assign V009310 = V159283. assign V631750 = V044760 - 1. assign V333754 = V106140. assign V933767 = V013758 + 1. assign V938721 = V324899. assign V554661 = V921909. assign V376059 = V342015 - 1. assign V975747 = V871744 + 1. assign V916159 = V712419 + 1. assign V095070 = V054920 + 1. assign V135779 = V975766 + 1. assign V565353 = V044760 + 1. assign V592863 = V642582 + 1. assign V519332 = V558972 - 1. assign V698863 = V399753. assign V558495 = V105409 - 1. assign V490365 = V610121 + 1. assign V862784 = V185248 + 1. assign V128184 = V142884. assign V416080 = V254752. assign V083113 = V250354 + 1. assign V410545 = V569841 + 1. assign V041877 = V569841 + 1. assign V103453 = V851071. assign V956881 = V565353. assign V009557 = V862784. assign V812410 = V697976. assign V621184 = V444768 + 1. assign V925518 = V336435 - 1. assign V388700 = V698863 + 1. assign V112805 = V644791. assign V598125 = V429585. assign V143311 = V106140 - 1. assign V342015 = V621184. assign V975766 = V851071. assign V185248 = V370771 + 1. assign V074270 = V569841 - 1. assign V715425 = V142884 - 1. assign V013518 = V267663 - 1. assign V558972 = V712419 - 1. assign V962562 = V103453 + 1. assign V824526 = V538755 + 1. assign V267663 = V975766. assign V142884 = V410545 - 1. assign V336435 = V565353. assign V742144 = V335595 + 1. assign V298179 = V604415. assign V493434 = V416080. assign V796528 = V376059 + 1. assign V504427 = V044760 - 1. assign V634147 = V289264 - 1. assign V254752 = V135779 + 1. assign V130260 = V854219 + 1. assign V570538 = V794370 - 1. assign V848446 = V106140. assign V610310 = V854219 + 1. assign V531421 = V966510 + 1. assign V803977 = V851071 - 1. assign V339145 = V975766 + 1. assign V291657 = V013669 + 1. assign V712013 = V185248 + 1. assign V947651 = V569841 - 1. assign V921909 = V558972. assign V718854 = V013518 - 1. assign V566395 = V947651 + 1. assign V161978 = V135779 - 1. assign V966510 = V538755 - 1. assign V324899 = V196464 + 1. assign V945337 = V787370 - 1. assign V106140 = V851071. assign V989250 = V569841 + 1. assign V059886 = V267663. assign V805141 = V335595 - 1. assign V794370 = V604415 - 1. assign V788774 = V712419 + 1. assign V999576 = V697976 + 1. assign V956135 = V669788. assign V819562 = V962562 + 1. assign V538755 = V410545 - 1. assign V884805 = V044760. assign V083634 = V161978 - 1. assign V712419 = V416080 + 1. assign V250354 = V074270 - 1. assign V658938 = V558972 + 1. assign V390977 = V324899. assign V196464 = V044760 - 1. assign V213257 = V598125 + 1. assign V013758 = V712419. assign V453196 = V410545. assign V965849 = V444768 - 1. assign V669788 = V997465 + 1. assign V776508 = V824526 + 1. assign V823005 = V105409 + 1. assign V088780 = V712419 - 1. assign V444768 = V267663. assign V910142 = V291657.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV663862 = 10;\n\nFrom these direct assignment(s), we have: \nV961303 = V663862 = 10;\nNo other variables can be derived from V961303;\nNo other variables can be derived from V663862;\n\nNow we have done all the calculations. Derived variables are:\nV663862 = 10;\nV961303 = 10;\n\nNow we have finished this problem. ANSWER:\nV663862, V961303\n", "role": "assistant" } ]

[ "V116365" ]

[ { "content": "<context>\nassign V943234 = V927812. assign V545740 = V059245. assign V319513 = V405016. assign V583532 = V063436 + 1. assign V232980 = V977524. assign V281946 = V415338 + 1. assign V927812 = V770382 - 1. assign V352668 = V877905 + 1. assign V788901 = V740194. assign V415338 = V008647. assign V010737 = V181288. assign V351192 = V629992. assign V641291 = V059245 - 1. assign V863540 = V414106 + 1. assign V515270 = V177074 - 1. assign V676634 = V923219. assign V023147 = V687019 + 1. assign V546147 = V549231. assign V196804 = V894563 + 1. assign V933533 = V147693 + 1. assign V727545 = V232980 - 1. assign V260189 = V549627 + 1. assign V835514 = V727545 - 1. assign V538126 = V232557 + 1. assign V737897 = V181288 + 1. assign V801449 = V333958. assign V669141 = V281056. assign V861400 = V927812. assign V642734 = V977524 + 1. assign V585833 = V232557. assign V604456 = V977524 - 1. assign V568908 = V977524 - 1. assign V063436 = V008346 - 1. assign V980882 = V046231. assign V454919 = V007151. assign V341956 = V894563 + 1. assign V590766 = V629992 - 1. assign V668133 = V623335. assign V597915 = V020998 - 1. assign V377452 = V933533 - 1. assign V500492 = V835514 - 1. assign V894563 = V008647. assign V039549 = V727545 + 1. assign V394507 = 2. assign V677332 = V788901 - 1. assign V814881 = V388602 - 1. assign V348688 = V740575 + 1. assign V117310 = V797419 - 1. assign V533898 = V629992. assign V993323 = V414786 - 1. assign V336570 = V797419. assign V723482 = V633359 + 1. assign V703579 = V112841 + 1. assign V601209 = V533898 + 1. assign V562728 = V389791 - 1. assign V212926 = V120284. assign V175409 = V923219 + 1. assign V664249 = V281056 + 1. assign V045103 = V348688. assign V287974 = V797419 + 1. assign V086078 = V147693 + 1. assign V877905 = V059245 + 1. assign V633359 = V414106 + 1. assign V977524 = V737897 - 1. assign V334757 = V894563 - 1. assign V771189 = V008346 + 1. assign V084234 = V020998 + 1. assign V492964 = V861909 + 1. assign V147693 = V008346 + 1. assign V708172 = V614857 - 1. assign V106156 = V737897. assign V740575 = V232980 + 1. assign V173764 = V414106 - 1. assign V687019 = V879494 - 1. assign V224873 = V801449 + 1. assign V923219 = V737897 + 1. assign V283008 = V737897 - 1. assign V569159 = V641291 + 1. assign V177074 = V538126. assign V879494 = V106156. assign V080263 = V352668 + 1. assign V427397 = V771189 - 1. assign V198505 = V348688. assign V216952 = V487071. assign V571315 = V414106 + 1. assign V132735 = V331223 + 1. assign V333958 = V168628. assign V020998 = V281946. assign V509781 = V059245. assign V657891 = V677332. assign V614857 = V538126. assign V857257 = V415338 - 1. assign V028365 = V263283. assign V447266 = V079897. assign V035291 = V879494 + 1. assign V340224 = V281056. assign V685153 = V168435. assign V414786 = V336542 - 1. assign V216883 = V740293 - 1. assign V740293 = V538126 - 1. assign V730300 = V740293 + 1. assign V673973 = V340224 + 1. assign V510888 = V604456 - 1. assign V549231 = V877905 + 1. assign V181288 = V538126 + 1. assign V954217 = V487071 + 1. assign V496819 = V010737 + 1. assign V376976 = V739658 - 1. assign V007151 = V173764 + 1. assign V554846 = V281056 - 1. assign V331223 = V112841. assign V168435 = V737897. assign V629992 = V614857 + 1. assign V112841 = V010737. assign V286356 = V388602 - 1. assign V768736 = V414106. assign V988120 = V008346 + 1. assign V303517 = V642734 + 1. assign V385520 = V623335 + 1. assign V008346 = V181288 + 1. assign V409581 = V414106 + 1. assign V596135 = V590766. assign V730176 = V598131 + 1. assign V214192 = V515270 + 1. assign V623335 = V988120. assign V740194 = V562728. assign V405016 = V063436 + 1. assign V290946 = V168628. assign V308505 = V377347 - 1. assign V996009 = V642734 - 1. assign V463200 = V080263 - 1. assign V623195 = V496819. assign V250512 = V212926. assign V498415 = V339162. assign V046231 = V623195. assign V356184 = V740293 - 1. assign V263283 = V084744 - 1. assign V286662 = V977524 + 1. assign V658910 = V008346. assign V336542 = V641291 - 1. assign V061284 = V568908 + 1. assign V471438 = V281056. assign V116365 = V394507 - 1. assign V474611 = V487071 - 1. assign V389791 = V008647 - 1. assign V281056 = V568908. assign V414106 = V568908 - 1. assign V388602 = V415338. assign V739658 = V835514 - 1. assign V084744 = V538126 - 1. assign V549627 = V933533. assign V861909 = V676634. assign V343453 = V814565 + 1. assign V130096 = V614857 - 1. assign V127986 = V080263 + 1. assign V803342 = V020998 + 1. assign V339162 = V127986 - 1. assign V797419 = V232980 + 1. assign V059245 = V168435. assign V580642 = V740293. assign V995004 = V703579. assign V079897 = V664249 + 1. assign V168628 = V562728. assign V487071 = V549231 + 1. assign V377347 = V341956 + 1. assign V120284 = V020998. assign V770382 = V106156. assign V814565 = V877905. assign V181381 = V687019. assign V008647 = V232557. assign V195548 = V740575. assign V598131 = V415338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V943234 = V927812. assign V545740 = V059245. assign V319513 = V405016. assign V583532 = V063436 + 1. assign V232980 = V977524. assign V281946 = V415338 + 1. assign V927812 = V770382 - 1. assign V352668 = V877905 + 1. assign V788901 = V740194. assign V415338 = V008647. assign V010737 = V181288. assign V351192 = V629992. assign V641291 = V059245 - 1. assign V863540 = V414106 + 1. assign V515270 = V177074 - 1. assign V676634 = V923219. assign V023147 = V687019 + 1. assign V546147 = V549231. assign V196804 = V894563 + 1. assign V933533 = V147693 + 1. assign V727545 = V232980 - 1. assign V260189 = V549627 + 1. assign V835514 = V727545 - 1. assign V538126 = V232557 + 1. assign V737897 = V181288 + 1. assign V801449 = V333958. assign V669141 = V281056. assign V861400 = V927812. assign V642734 = V977524 + 1. assign V585833 = V232557. assign V604456 = V977524 - 1. assign V568908 = V977524 - 1. assign V063436 = V008346 - 1. assign V980882 = V046231. assign V454919 = V007151. assign V341956 = V894563 + 1. assign V590766 = V629992 - 1. assign V668133 = V623335. assign V597915 = V020998 - 1. assign V377452 = V933533 - 1. assign V500492 = V835514 - 1. assign V894563 = V008647. assign V039549 = V727545 + 1. assign V394507 = 2. assign V677332 = V788901 - 1. assign V814881 = V388602 - 1. assign V348688 = V740575 + 1. assign V117310 = V797419 - 1. assign V533898 = V629992. assign V993323 = V414786 - 1. assign V336570 = V797419. assign V723482 = V633359 + 1. assign V703579 = V112841 + 1. assign V601209 = V533898 + 1. assign V562728 = V389791 - 1. assign V212926 = V120284. assign V175409 = V923219 + 1. assign V664249 = V281056 + 1. assign V045103 = V348688. assign V287974 = V797419 + 1. assign V086078 = V147693 + 1. assign V877905 = V059245 + 1. assign V633359 = V414106 + 1. assign V977524 = V737897 - 1. assign V334757 = V894563 - 1. assign V771189 = V008346 + 1. assign V084234 = V020998 + 1. assign V492964 = V861909 + 1. assign V147693 = V008346 + 1. assign V708172 = V614857 - 1. assign V106156 = V737897. assign V740575 = V232980 + 1. assign V173764 = V414106 - 1. assign V687019 = V879494 - 1. assign V224873 = V801449 + 1. assign V923219 = V737897 + 1. assign V283008 = V737897 - 1. assign V569159 = V641291 + 1. assign V177074 = V538126. assign V879494 = V106156. assign V080263 = V352668 + 1. assign V427397 = V771189 - 1. assign V198505 = V348688. assign V216952 = V487071. assign V571315 = V414106 + 1. assign V132735 = V331223 + 1. assign V333958 = V168628. assign V020998 = V281946. assign V509781 = V059245. assign V657891 = V677332. assign V614857 = V538126. assign V857257 = V415338 - 1. assign V028365 = V263283. assign V447266 = V079897. assign V035291 = V879494 + 1. assign V340224 = V281056. assign V685153 = V168435. assign V414786 = V336542 - 1. assign V216883 = V740293 - 1. assign V740293 = V538126 - 1. assign V730300 = V740293 + 1. assign V673973 = V340224 + 1. assign V510888 = V604456 - 1. assign V549231 = V877905 + 1. assign V181288 = V538126 + 1. assign V954217 = V487071 + 1. assign V496819 = V010737 + 1. assign V376976 = V739658 - 1. assign V007151 = V173764 + 1. assign V554846 = V281056 - 1. assign V331223 = V112841. assign V168435 = V737897. assign V629992 = V614857 + 1. assign V112841 = V010737. assign V286356 = V388602 - 1. assign V768736 = V414106. assign V988120 = V008346 + 1. assign V303517 = V642734 + 1. assign V385520 = V623335 + 1. assign V008346 = V181288 + 1. assign V409581 = V414106 + 1. assign V596135 = V590766. assign V730176 = V598131 + 1. assign V214192 = V515270 + 1. assign V623335 = V988120. assign V740194 = V562728. assign V405016 = V063436 + 1. assign V290946 = V168628. assign V308505 = V377347 - 1. assign V996009 = V642734 - 1. assign V463200 = V080263 - 1. assign V623195 = V496819. assign V250512 = V212926. assign V498415 = V339162. assign V046231 = V623195. assign V356184 = V740293 - 1. assign V263283 = V084744 - 1. assign V286662 = V977524 + 1. assign V658910 = V008346. assign V336542 = V641291 - 1. assign V061284 = V568908 + 1. assign V471438 = V281056. assign V116365 = V394507 - 1. assign V474611 = V487071 - 1. assign V389791 = V008647 - 1. assign V281056 = V568908. assign V414106 = V568908 - 1. assign V388602 = V415338. assign V739658 = V835514 - 1. assign V084744 = V538126 - 1. assign V549627 = V933533. assign V861909 = V676634. assign V343453 = V814565 + 1. assign V130096 = V614857 - 1. assign V127986 = V080263 + 1. assign V803342 = V020998 + 1. assign V339162 = V127986 - 1. assign V797419 = V232980 + 1. assign V059245 = V168435. assign V580642 = V740293. assign V995004 = V703579. assign V079897 = V664249 + 1. assign V168628 = V562728. assign V487071 = V549231 + 1. assign V377347 = V341956 + 1. assign V120284 = V020998. assign V770382 = V106156. assign V814565 = V877905. assign V181381 = V687019. assign V008647 = V232557. assign V195548 = V740575. assign V598131 = V415338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV394507 = 2;\n\nFrom these direct assignment(s), we have: \nV116365 = V394507 - 1 = 2 - 1 =1;\nNo other variables can be derived from V116365;\nNo other variables can be derived from V394507;\n\nNow we have done all the calculations. Derived variables are:\nV394507 = 2;\nV116365 = 1;\n\nNow we have finished this problem. ANSWER:\nV116365\n", "role": "assistant" } ]

[ "V556928" ]

[ { "content": "<context>\nassign V898439 = V854014. assign V390998 = V824674 + 1. assign V116606 = V188942 + 1. assign V379641 = V516723. assign V006851 = V333379 + 1. assign V298681 = V291413 - 1. assign V490344 = V648392. assign V664592 = V026072. assign V019019 = V957911 - 1. assign V413805 = V980154 - 1. assign V547793 = V254242 - 1. assign V962072 = V057407 + 1. assign V541697 = V664592 - 1. assign V885513 = V981712 + 1. assign V667802 = V307895 - 1. assign V733215 = V393173. assign V188942 = V928395. assign V048933 = V115799. assign V965602 = V981712. assign V014057 = V680926 - 1. assign V199686 = V112760 + 1. assign V588390 = V298681 + 1. assign V456758 = V290969. assign V311919 = V490783. assign V395492 = V115799. assign V212369 = V790948 - 1. assign V588341 = V071947 + 1. assign V550249 = V866878 + 1. assign V982390 = V778812. assign V490783 = V345619 + 1. assign V705700 = V598350 + 1. assign V598350 = V070007 + 1. assign V075219 = V182573 - 1. assign V141144 = V019019 + 1. assign V970020 = V982390 + 1. assign V648159 = V961960 - 1. assign V893129 = V965602 - 1. assign V071350 = V254242 + 1. assign V683522 = V928395 + 1. assign V952867 = V521986 + 1. assign V526098 = V182573 - 1. assign V841906 = V534724 + 1. assign V714338 = V633534. assign V800954 = V307895 - 1. assign V415178 = V413805 + 1. assign V374553 = V199686 - 1. assign V633534 = V891654 + 1. assign V360705 = V209656 + 1. assign V438748 = V698963 + 1. assign V555855 = V235703 + 1. assign V775453 = V633534 + 1. assign V088793 = V652880 - 1. assign V136602 = V957911 - 1. assign V648392 = V957911. assign V533919 = V805367. assign V291413 = V209656 + 1. assign V468755 = V652880 + 1. assign V636112 = V491871 - 1. assign V228541 = V759427 + 1. assign V428662 = V531431 - 1. assign V648784 = V199101 - 1. assign V469932 = V300455. assign V652880 = V329806 - 1. assign V790948 = V057407 - 1. assign V737020 = V490783. assign V528160 = V428756. assign V285521 = V982390 - 1. assign V333379 = V667802. assign V401713 = V782365 + 1. assign V805367 = V534724 + 1. assign V953127 = V199686 + 1. assign V683453 = V805367 - 1. assign V254242 = V399214 - 1. assign V114084 = V863506. assign V289712 = V491871 + 1. assign V927193 = V607805 + 1. assign V716805 = V534724. assign V491871 = V667802 + 1. assign V782365 = V219863 - 1. assign V112760 = V329806. assign V381186 = V556928 + 1. assign V751654 = V057407 + 1. assign V057407 = V534724 - 1. assign V071947 = V070007 + 1. assign V146185 = V026072 + 1. assign V430231 = V967344. assign V305948 = V648784. assign V548483 = V723082 - 1. assign V600057 = V683522 + 1. assign V399214 = V428756. assign V559065 = V965602 + 1. assign V070007 = V491871 + 1. assign V516723 = V652880 - 1. assign V466949 = V980154 + 1. assign V854014 = V399214. assign V176682 = V413805. assign V750500 = V854014 + 1. assign V594360 = V547793 - 1. assign V980154 = V071947. assign V479410 = V307895 + 1. assign V632882 = V307895 - 1. assign V129890 = V129586. assign V759427 = V800954 - 1. assign V345619 = V071947 - 1. assign V981712 = V199101. assign V942777 = V652880 - 1. assign V928395 = V981712. assign V696620 = V019019 + 1. assign V026072 = V329806. assign V759541 = V071350 - 1. assign V182573 = V667802. assign V170604 = V456758 + 1. assign V168222 = V114084 - 1. assign V549457 = V555855. assign V582333 = V759541. assign V863506 = V428756 + 1. assign V708359 = V686336. assign V470966 = V182573 - 1. assign V583904 = V891654 - 1. assign V115799 = V399214. assign V531431 = V329806 - 1. assign V578104 = V965602. assign V209656 = V112760 + 1. assign V686336 = V846057 - 1. assign V939904 = V762780 + 1. assign V846057 = V854014 + 1. assign V428756 = V199101. assign V479894 = V057407 + 1. assign V162264 = V863506. assign V300455 = V716805 + 1. assign V472385 = V228541 - 1. assign V614975 = V782365 - 1. assign V957911 = V491871 - 1. assign V393173 = V854014. assign V698963 = V939904 + 1. assign V384447 = V057407 + 1. assign V534724 = V070007 + 1. assign V866878 = V470966 + 1. assign V233513 = V939904 + 1. assign V967344 = V112760 + 1. assign V662799 = V607805 + 1. assign V824674 = V680926 - 1. assign V689131 = V716805. assign V933261 = V333379 - 1. assign V665903 = V750500 - 1. assign V235703 = V980154. assign V199101 = V070007 - 1. assign V129586 = V070007 - 1. assign V290969 = V716805. assign V024610 = V170604. assign V309501 = V981712. assign V664423 = V491871 - 1. assign V778812 = V652880 + 1. assign V556928 = 2. assign V434512 = V491871. assign V680926 = V162264 + 1. assign V895336 = V555855. assign V521986 = V933261 + 1. assign V888985 = V490783 - 1. assign V961960 = V898439. assign V881895 = V598350. assign V607805 = V291413 - 1. assign V365251 = V762780. assign V219863 = V534724. assign V832540 = V456758 - 1. assign V118851 = V071947 + 1. assign V762780 = V790948. assign V891654 = V182573 + 1. assign V225566 = V942777 - 1. assign V628021 = V199686 - 1. assign V329806 = V667802 - 1. assign V723082 = V430231 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V898439 = V854014. assign V390998 = V824674 + 1. assign V116606 = V188942 + 1. assign V379641 = V516723. assign V006851 = V333379 + 1. assign V298681 = V291413 - 1. assign V490344 = V648392. assign V664592 = V026072. assign V019019 = V957911 - 1. assign V413805 = V980154 - 1. assign V547793 = V254242 - 1. assign V962072 = V057407 + 1. assign V541697 = V664592 - 1. assign V885513 = V981712 + 1. assign V667802 = V307895 - 1. assign V733215 = V393173. assign V188942 = V928395. assign V048933 = V115799. assign V965602 = V981712. assign V014057 = V680926 - 1. assign V199686 = V112760 + 1. assign V588390 = V298681 + 1. assign V456758 = V290969. assign V311919 = V490783. assign V395492 = V115799. assign V212369 = V790948 - 1. assign V588341 = V071947 + 1. assign V550249 = V866878 + 1. assign V982390 = V778812. assign V490783 = V345619 + 1. assign V705700 = V598350 + 1. assign V598350 = V070007 + 1. assign V075219 = V182573 - 1. assign V141144 = V019019 + 1. assign V970020 = V982390 + 1. assign V648159 = V961960 - 1. assign V893129 = V965602 - 1. assign V071350 = V254242 + 1. assign V683522 = V928395 + 1. assign V952867 = V521986 + 1. assign V526098 = V182573 - 1. assign V841906 = V534724 + 1. assign V714338 = V633534. assign V800954 = V307895 - 1. assign V415178 = V413805 + 1. assign V374553 = V199686 - 1. assign V633534 = V891654 + 1. assign V360705 = V209656 + 1. assign V438748 = V698963 + 1. assign V555855 = V235703 + 1. assign V775453 = V633534 + 1. assign V088793 = V652880 - 1. assign V136602 = V957911 - 1. assign V648392 = V957911. assign V533919 = V805367. assign V291413 = V209656 + 1. assign V468755 = V652880 + 1. assign V636112 = V491871 - 1. assign V228541 = V759427 + 1. assign V428662 = V531431 - 1. assign V648784 = V199101 - 1. assign V469932 = V300455. assign V652880 = V329806 - 1. assign V790948 = V057407 - 1. assign V737020 = V490783. assign V528160 = V428756. assign V285521 = V982390 - 1. assign V333379 = V667802. assign V401713 = V782365 + 1. assign V805367 = V534724 + 1. assign V953127 = V199686 + 1. assign V683453 = V805367 - 1. assign V254242 = V399214 - 1. assign V114084 = V863506. assign V289712 = V491871 + 1. assign V927193 = V607805 + 1. assign V716805 = V534724. assign V491871 = V667802 + 1. assign V782365 = V219863 - 1. assign V112760 = V329806. assign V381186 = V556928 + 1. assign V751654 = V057407 + 1. assign V057407 = V534724 - 1. assign V071947 = V070007 + 1. assign V146185 = V026072 + 1. assign V430231 = V967344. assign V305948 = V648784. assign V548483 = V723082 - 1. assign V600057 = V683522 + 1. assign V399214 = V428756. assign V559065 = V965602 + 1. assign V070007 = V491871 + 1. assign V516723 = V652880 - 1. assign V466949 = V980154 + 1. assign V854014 = V399214. assign V176682 = V413805. assign V750500 = V854014 + 1. assign V594360 = V547793 - 1. assign V980154 = V071947. assign V479410 = V307895 + 1. assign V632882 = V307895 - 1. assign V129890 = V129586. assign V759427 = V800954 - 1. assign V345619 = V071947 - 1. assign V981712 = V199101. assign V942777 = V652880 - 1. assign V928395 = V981712. assign V696620 = V019019 + 1. assign V026072 = V329806. assign V759541 = V071350 - 1. assign V182573 = V667802. assign V170604 = V456758 + 1. assign V168222 = V114084 - 1. assign V549457 = V555855. assign V582333 = V759541. assign V863506 = V428756 + 1. assign V708359 = V686336. assign V470966 = V182573 - 1. assign V583904 = V891654 - 1. assign V115799 = V399214. assign V531431 = V329806 - 1. assign V578104 = V965602. assign V209656 = V112760 + 1. assign V686336 = V846057 - 1. assign V939904 = V762780 + 1. assign V846057 = V854014 + 1. assign V428756 = V199101. assign V479894 = V057407 + 1. assign V162264 = V863506. assign V300455 = V716805 + 1. assign V472385 = V228541 - 1. assign V614975 = V782365 - 1. assign V957911 = V491871 - 1. assign V393173 = V854014. assign V698963 = V939904 + 1. assign V384447 = V057407 + 1. assign V534724 = V070007 + 1. assign V866878 = V470966 + 1. assign V233513 = V939904 + 1. assign V967344 = V112760 + 1. assign V662799 = V607805 + 1. assign V824674 = V680926 - 1. assign V689131 = V716805. assign V933261 = V333379 - 1. assign V665903 = V750500 - 1. assign V235703 = V980154. assign V199101 = V070007 - 1. assign V129586 = V070007 - 1. assign V290969 = V716805. assign V024610 = V170604. assign V309501 = V981712. assign V664423 = V491871 - 1. assign V778812 = V652880 + 1. assign V556928 = 2. assign V434512 = V491871. assign V680926 = V162264 + 1. assign V895336 = V555855. assign V521986 = V933261 + 1. assign V888985 = V490783 - 1. assign V961960 = V898439. assign V881895 = V598350. assign V607805 = V291413 - 1. assign V365251 = V762780. assign V219863 = V534724. assign V832540 = V456758 - 1. assign V118851 = V071947 + 1. assign V762780 = V790948. assign V891654 = V182573 + 1. assign V225566 = V942777 - 1. assign V628021 = V199686 - 1. assign V329806 = V667802 - 1. assign V723082 = V430231 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV556928 = 2;\n\nFrom these direct assignment(s), we have: \nV381186 = V556928 + 1 = 2 + 1 =3;\nNo other variables can be derived from V381186;\nNo other variables can be derived from V556928;\n\nNow we have done all the calculations. Derived variables are:\nV556928 = 2;\nV381186 = 3;\n\nNow we have finished this problem. ANSWER:\nV556928\n", "role": "assistant" } ]

[ "V036567" ]

[ { "content": "<context>\nassign V745822 = V438886 - 1. assign V743043 = V593714. assign V843596 = V538669 + 1. assign V815259 = V172815. assign V714532 = V839436 + 1. assign V377613 = V039882. assign V521962 = V935561 + 1. assign V085745 = V521962 - 1. assign V909855 = V585479. assign V207510 = V521962. assign V931900 = V431570. assign V280777 = V702495 - 1. assign V098872 = V661179 - 1. assign V819024 = V875696 - 1. assign V260056 = V091637 - 1. assign V924051 = V370224 + 1. assign V924600 = V755209 - 1. assign V839892 = V431570. assign V750986 = V637701 + 1. assign V020209 = V617546. assign V626339 = V690065 - 1. assign V372163 = V225741 - 1. assign V243676 = V523471 - 1. assign V351251 = V702495. assign V839436 = V392570 + 1. assign V502484 = V392570 - 1. assign V575804 = V135361. assign V608558 = V833628. assign V552953 = V265153. assign V273059 = V626339. assign V896092 = V626339 - 1. assign V446016 = V172622. assign V760197 = V626339. assign V058886 = V096889 - 1. assign V061155 = V373173 + 1. assign V036567 = V489809 + 1. assign V766359 = V308904 + 1. assign V187979 = V488246 + 1. assign V392570 = V911338 + 1. assign V819575 = V181751 + 1. assign V369532 = V521962. assign V489809 = 6. assign V916974 = V925026 + 1. assign V159478 = V090124 + 1. assign V820123 = V203996 + 1. assign V081159 = V744558 - 1. assign V585479 = V783490. assign V460495 = V207510 - 1. assign V902933 = V839892. assign V992475 = V575804 - 1. assign V318029 = V655336 - 1. assign V488246 = V091637 + 1. assign V861173 = V555809 + 1. assign V827084 = V839436. assign V973587 = V431570 + 1. assign V564978 = V819575 - 1. assign V701292 = V705565. assign V803164 = V368330 - 1. assign V392658 = V833628. assign V690065 = V392570 - 1. assign V444696 = V750986 - 1. assign V609698 = V521962 - 1. assign V547909 = V819575. assign V925026 = V839892 - 1. assign V092947 = V815259 - 1. assign V273850 = V502484 - 1. assign V587264 = V521962 - 1. assign V449084 = V252590. assign V148802 = V881196. assign V833628 = V799811 + 1. assign V889977 = V274184 - 1. assign V341864 = V784557 + 1. assign V096889 = V930059 - 1. assign V090124 = V931900. assign V705565 = V448918 - 1. assign V767374 = V392570. assign V263733 = V172815 - 1. assign V172815 = V290994 - 1. assign V135361 = V881196. assign V438886 = V090124 - 1. assign V287127 = V714532 - 1. assign V531180 = V318029 - 1. assign V355522 = V531180. assign V052213 = V930059. assign V749962 = V911338 + 1. assign V845068 = V750986 - 1. assign V720922 = V412227 - 1. assign V510186 = V285359. assign V947249 = V930059. assign V555809 = V767374 + 1. assign V472903 = V351251. assign V930059 = V839892. assign V065116 = V091637 - 1. assign V762510 = V181751. assign V472250 = V172815 - 1. assign V655336 = V172622 - 1. assign V788957 = V587264 - 1. assign V448918 = V368330 - 1. assign V710182 = V070590. assign V058002 = V702495 + 1. assign V543286 = V370224. assign V040071 = V431570. assign V014732 = V181751 - 1. assign V285359 = V018011 - 1. assign V434515 = V803164. assign V144178 = V020275 - 1. assign V993791 = V172622. assign V637701 = V373173 + 1. assign V702495 = V370224 - 1. assign V203996 = V448918 - 1. assign V329924 = V488246. assign V783490 = V930059 - 1. assign V494231 = V181751 + 1. assign V020275 = V783490 - 1. assign V954630 = V749962 - 1. assign V368330 = V931900. assign V227870 = V438886. assign V308904 = V845068 - 1. assign V431570 = V819575 + 1. assign V231023 = V531180 - 1. assign V001133 = V744558 + 1. assign V446234 = V318029. assign V924367 = V925026. assign V911338 = V935561. assign V477589 = V061645. assign V523471 = V351251 - 1. assign V871215 = V637701 + 1. assign V265153 = V705565 - 1. assign V799811 = V018011 - 1. assign V195301 = V318029 - 1. assign V412227 = V954630 + 1. assign V290994 = V702495 + 1. assign V181751 = V911338 + 1. assign V148639 = V098872 - 1. assign V252590 = V472903 - 1. assign V039882 = V993791 - 1. assign V123868 = V318029 - 1. assign V225741 = V617546 - 1. assign V744558 = V872087 + 1. assign V018011 = V373173 + 1. assign V593714 = V370224 - 1. assign V657868 = V502484 + 1. assign V676919 = V788445. assign V755209 = V839436 - 1. assign V370224 = V690065 + 1. assign V274184 = V783490 + 1. assign V875696 = V355522 + 1. assign V061645 = V809435. assign V914200 = V014732 + 1. assign V561729 = V924051 + 1. assign V373173 = V819575 + 1. assign V784557 = V065116 + 1. assign V611177 = V020209 + 1. assign V176890 = V318029. assign V872087 = V935561. assign V617546 = V655336. assign V920380 = V523471. assign V319184 = V676919 - 1. assign V070590 = V207510 - 1. assign V247484 = V702495 + 1. assign V346588 = V783490. assign V846059 = V502484. assign V605306 = V819575 + 1. assign V661179 = V690065 + 1. assign V809435 = V318029 + 1. assign V091637 = V839436 + 1. assign V172622 = V819575 + 1. assign V744507 = V839892 - 1. assign V881196 = V368330 - 1. assign V538669 = V159478 - 1. assign V788445 = V839436. assign V141635 = V744558.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V745822 = V438886 - 1. assign V743043 = V593714. assign V843596 = V538669 + 1. assign V815259 = V172815. assign V714532 = V839436 + 1. assign V377613 = V039882. assign V521962 = V935561 + 1. assign V085745 = V521962 - 1. assign V909855 = V585479. assign V207510 = V521962. assign V931900 = V431570. assign V280777 = V702495 - 1. assign V098872 = V661179 - 1. assign V819024 = V875696 - 1. assign V260056 = V091637 - 1. assign V924051 = V370224 + 1. assign V924600 = V755209 - 1. assign V839892 = V431570. assign V750986 = V637701 + 1. assign V020209 = V617546. assign V626339 = V690065 - 1. assign V372163 = V225741 - 1. assign V243676 = V523471 - 1. assign V351251 = V702495. assign V839436 = V392570 + 1. assign V502484 = V392570 - 1. assign V575804 = V135361. assign V608558 = V833628. assign V552953 = V265153. assign V273059 = V626339. assign V896092 = V626339 - 1. assign V446016 = V172622. assign V760197 = V626339. assign V058886 = V096889 - 1. assign V061155 = V373173 + 1. assign V036567 = V489809 + 1. assign V766359 = V308904 + 1. assign V187979 = V488246 + 1. assign V392570 = V911338 + 1. assign V819575 = V181751 + 1. assign V369532 = V521962. assign V489809 = 6. assign V916974 = V925026 + 1. assign V159478 = V090124 + 1. assign V820123 = V203996 + 1. assign V081159 = V744558 - 1. assign V585479 = V783490. assign V460495 = V207510 - 1. assign V902933 = V839892. assign V992475 = V575804 - 1. assign V318029 = V655336 - 1. assign V488246 = V091637 + 1. assign V861173 = V555809 + 1. assign V827084 = V839436. assign V973587 = V431570 + 1. assign V564978 = V819575 - 1. assign V701292 = V705565. assign V803164 = V368330 - 1. assign V392658 = V833628. assign V690065 = V392570 - 1. assign V444696 = V750986 - 1. assign V609698 = V521962 - 1. assign V547909 = V819575. assign V925026 = V839892 - 1. assign V092947 = V815259 - 1. assign V273850 = V502484 - 1. assign V587264 = V521962 - 1. assign V449084 = V252590. assign V148802 = V881196. assign V833628 = V799811 + 1. assign V889977 = V274184 - 1. assign V341864 = V784557 + 1. assign V096889 = V930059 - 1. assign V090124 = V931900. assign V705565 = V448918 - 1. assign V767374 = V392570. assign V263733 = V172815 - 1. assign V172815 = V290994 - 1. assign V135361 = V881196. assign V438886 = V090124 - 1. assign V287127 = V714532 - 1. assign V531180 = V318029 - 1. assign V355522 = V531180. assign V052213 = V930059. assign V749962 = V911338 + 1. assign V845068 = V750986 - 1. assign V720922 = V412227 - 1. assign V510186 = V285359. assign V947249 = V930059. assign V555809 = V767374 + 1. assign V472903 = V351251. assign V930059 = V839892. assign V065116 = V091637 - 1. assign V762510 = V181751. assign V472250 = V172815 - 1. assign V655336 = V172622 - 1. assign V788957 = V587264 - 1. assign V448918 = V368330 - 1. assign V710182 = V070590. assign V058002 = V702495 + 1. assign V543286 = V370224. assign V040071 = V431570. assign V014732 = V181751 - 1. assign V285359 = V018011 - 1. assign V434515 = V803164. assign V144178 = V020275 - 1. assign V993791 = V172622. assign V637701 = V373173 + 1. assign V702495 = V370224 - 1. assign V203996 = V448918 - 1. assign V329924 = V488246. assign V783490 = V930059 - 1. assign V494231 = V181751 + 1. assign V020275 = V783490 - 1. assign V954630 = V749962 - 1. assign V368330 = V931900. assign V227870 = V438886. assign V308904 = V845068 - 1. assign V431570 = V819575 + 1. assign V231023 = V531180 - 1. assign V001133 = V744558 + 1. assign V446234 = V318029. assign V924367 = V925026. assign V911338 = V935561. assign V477589 = V061645. assign V523471 = V351251 - 1. assign V871215 = V637701 + 1. assign V265153 = V705565 - 1. assign V799811 = V018011 - 1. assign V195301 = V318029 - 1. assign V412227 = V954630 + 1. assign V290994 = V702495 + 1. assign V181751 = V911338 + 1. assign V148639 = V098872 - 1. assign V252590 = V472903 - 1. assign V039882 = V993791 - 1. assign V123868 = V318029 - 1. assign V225741 = V617546 - 1. assign V744558 = V872087 + 1. assign V018011 = V373173 + 1. assign V593714 = V370224 - 1. assign V657868 = V502484 + 1. assign V676919 = V788445. assign V755209 = V839436 - 1. assign V370224 = V690065 + 1. assign V274184 = V783490 + 1. assign V875696 = V355522 + 1. assign V061645 = V809435. assign V914200 = V014732 + 1. assign V561729 = V924051 + 1. assign V373173 = V819575 + 1. assign V784557 = V065116 + 1. assign V611177 = V020209 + 1. assign V176890 = V318029. assign V872087 = V935561. assign V617546 = V655336. assign V920380 = V523471. assign V319184 = V676919 - 1. assign V070590 = V207510 - 1. assign V247484 = V702495 + 1. assign V346588 = V783490. assign V846059 = V502484. assign V605306 = V819575 + 1. assign V661179 = V690065 + 1. assign V809435 = V318029 + 1. assign V091637 = V839436 + 1. assign V172622 = V819575 + 1. assign V744507 = V839892 - 1. assign V881196 = V368330 - 1. assign V538669 = V159478 - 1. assign V788445 = V839436. assign V141635 = V744558.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV489809 = 6;\n\nFrom these direct assignment(s), we have: \nV036567 = V489809 + 1 = 6 + 1 =7;\nNo other variables can be derived from V036567;\nNo other variables can be derived from V489809;\n\nNow we have done all the calculations. Derived variables are:\nV489809 = 6;\nV036567 = 7;\n\nNow we have finished this problem. ANSWER:\nV036567\n", "role": "assistant" } ]

[ "V414377", "V747510" ]

[ { "content": "<context>\nassign V493134 = V425131. assign V149054 = V332252. assign V909126 = V018674 + 1. assign V146479 = V250201. assign V848678 = V792652 + 1. assign V385854 = V586476. assign V136436 = V672794 - 1. assign V322911 = V096577 + 1. assign V307605 = V827388. assign V251850 = V801954. assign V896386 = V957846. assign V645882 = V801954 + 1. assign V814307 = V792652 - 1. assign V179011 = V084841 + 1. assign V619094 = V470625 - 1. assign V792652 = V619146. assign V304330 = V107823. assign V758493 = V603247. assign V827074 = V619146. assign V017759 = V488619 - 1. assign V787674 = V232783 + 1. assign V794387 = V977053 - 1. assign V745448 = V193169 + 1. assign V084841 = V619146. assign V853091 = V746991. assign V784929 = V277873 - 1. assign V398957 = V084841. assign V035905 = V399732 - 1. assign V699147 = V018674 + 1. assign V065616 = V277873 + 1. assign V530081 = V193169 - 1. assign V612774 = V784929 + 1. assign V923484 = V232783. assign V985971 = V130282 + 1. assign V823271 = V792652. assign V600884 = V746991 + 1. assign V603247 = V310691 - 1. assign V277873 = V672794 - 1. assign V715895 = V619146 + 1. assign V984783 = V852975 - 1. assign V470625 = V084841 - 1. assign V075395 = V600884. assign V016719 = V801954 - 1. assign V383964 = V551097. assign V935570 = V001956 + 1. assign V591266 = V302278 - 1. assign V284582 = V643335 - 1. assign V706186 = V957648 - 1. assign V936136 = V619146. assign V585505 = V451718 + 1. assign V451718 = V502456. assign V138987 = V179011 + 1. assign V991831 = V852975. assign V258293 = V540466 + 1. assign V425131 = V618739 + 1. assign V672794 = V434378. assign V955174 = V093295 + 1. assign V820198 = V304330 - 1. assign V434378 = V455368. assign V376319 = V511009 - 1. assign V024875 = V246424. assign V081490 = V898445 - 1. assign V455368 = V827074 + 1. assign V560615 = V643335 + 1. assign V779555 = V619094 - 1. assign V492005 = V746991. assign V452831 = V923484. assign V950547 = V084841 - 1. assign V937012 = V304330. assign V950318 = V452831 + 1. assign V302278 = V619146. assign V586476 = V434378 + 1. assign V837190 = V936136 - 1. assign V303384 = V810866 + 1. assign V488619 = V584254 - 1. assign V938099 = V364361. assign V207542 = V760310 - 1. assign V153912 = V826687. assign V437723 = V451718. assign V797054 = V232783. assign V096577 = V827388 + 1. assign V456158 = V826687. assign V262255 = V779555 - 1. assign V511009 = V399732 + 1. assign V769824 = V746991 - 1. assign V765951 = V813649 - 1. assign V650544 = V455368. assign V938662 = V001956. assign V813649 = V540466. assign V908826 = V262255 - 1. assign V760310 = V677381 + 1. assign V960208 = V470625. assign V957846 = V153912 - 1. assign V310004 = V827074. assign V012265 = V149054. assign V300686 = V130282 + 1. assign V115144 = V468152. assign V801954 = V455368. assign V885766 = V434378 + 1. assign V957648 = V672794 + 1. assign V107823 = V672794 - 1. assign V673069 = V310691 + 1. assign V957456 = V591266. assign V468152 = V950318 - 1. assign V783803 = V488619 + 1. assign V018674 = V801954 - 1. assign V804174 = V357881 + 1. assign V163529 = V950547 + 1. assign V246424 = V502456. assign V898445 = V456158 + 1. assign V713207 = V820198. assign V029065 = V412863 - 1. assign V063318 = V391279. assign V540466 = V363313 + 1. assign V250201 = V455368 - 1. assign V977053 = V179011 + 1. assign V364361 = V277873 - 1. assign V952868 = V363313 - 1. assign V746991 = V827388. assign V841139 = V492005 + 1. assign V157538 = V909126 - 1. assign V747510 = V414377. assign V029846 = V310004. assign V506414 = V810866 - 1. assign V192854 = V391279 + 1. assign V279352 = V977053. assign V794581 = V643335 - 1. assign V788122 = V149054. assign V361780 = V792652. assign V062203 = V451718 + 1. assign V826687 = V603247. assign V535550 = V827388 - 1. assign V491908 = V096577 + 1. assign V502456 = V455368. assign V448982 = V952868 + 1. assign V399732 = V332252 - 1. assign V280881 = V673069. assign V391279 = V018674. assign V412863 = V455368 + 1. assign V988587 = V018674 + 1. assign V852975 = V619146 - 1. assign V810866 = V603247. assign V093295 = V001956 + 1. assign V551097 = V277873. assign V130282 = V619146 - 1. assign V895463 = V619094. assign V677381 = V093295 - 1. assign V332252 = V302278 + 1. assign V414377 = 7. assign V698899 = V650544 - 1. assign V249422 = V016719. assign V618739 = V603247 + 1. assign V643335 = V672794 + 1. assign V936653 = V455368. assign V057048 = V107823. assign V357881 = V827388. assign V059106 = V898445 + 1. assign V061588 = V332252 - 1. assign V742169 = V585505 - 1. assign V363313 = V399732. assign V069896 = V412863. assign V061775 = V153912. assign V310691 = V715895 + 1. assign V001956 = V826687 - 1. assign V232783 = V018674 - 1. assign V584254 = V001956. assign V300940 = V488619 + 1. assign V827388 = V758493 - 1. assign V193169 = V746991 + 1. assign V050868 = V530081. assign V385696 = V016719 + 1. assign V656538 = V193169 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V493134 = V425131. assign V149054 = V332252. assign V909126 = V018674 + 1. assign V146479 = V250201. assign V848678 = V792652 + 1. assign V385854 = V586476. assign V136436 = V672794 - 1. assign V322911 = V096577 + 1. assign V307605 = V827388. assign V251850 = V801954. assign V896386 = V957846. assign V645882 = V801954 + 1. assign V814307 = V792652 - 1. assign V179011 = V084841 + 1. assign V619094 = V470625 - 1. assign V792652 = V619146. assign V304330 = V107823. assign V758493 = V603247. assign V827074 = V619146. assign V017759 = V488619 - 1. assign V787674 = V232783 + 1. assign V794387 = V977053 - 1. assign V745448 = V193169 + 1. assign V084841 = V619146. assign V853091 = V746991. assign V784929 = V277873 - 1. assign V398957 = V084841. assign V035905 = V399732 - 1. assign V699147 = V018674 + 1. assign V065616 = V277873 + 1. assign V530081 = V193169 - 1. assign V612774 = V784929 + 1. assign V923484 = V232783. assign V985971 = V130282 + 1. assign V823271 = V792652. assign V600884 = V746991 + 1. assign V603247 = V310691 - 1. assign V277873 = V672794 - 1. assign V715895 = V619146 + 1. assign V984783 = V852975 - 1. assign V470625 = V084841 - 1. assign V075395 = V600884. assign V016719 = V801954 - 1. assign V383964 = V551097. assign V935570 = V001956 + 1. assign V591266 = V302278 - 1. assign V284582 = V643335 - 1. assign V706186 = V957648 - 1. assign V936136 = V619146. assign V585505 = V451718 + 1. assign V451718 = V502456. assign V138987 = V179011 + 1. assign V991831 = V852975. assign V258293 = V540466 + 1. assign V425131 = V618739 + 1. assign V672794 = V434378. assign V955174 = V093295 + 1. assign V820198 = V304330 - 1. assign V434378 = V455368. assign V376319 = V511009 - 1. assign V024875 = V246424. assign V081490 = V898445 - 1. assign V455368 = V827074 + 1. assign V560615 = V643335 + 1. assign V779555 = V619094 - 1. assign V492005 = V746991. assign V452831 = V923484. assign V950547 = V084841 - 1. assign V937012 = V304330. assign V950318 = V452831 + 1. assign V302278 = V619146. assign V586476 = V434378 + 1. assign V837190 = V936136 - 1. assign V303384 = V810866 + 1. assign V488619 = V584254 - 1. assign V938099 = V364361. assign V207542 = V760310 - 1. assign V153912 = V826687. assign V437723 = V451718. assign V797054 = V232783. assign V096577 = V827388 + 1. assign V456158 = V826687. assign V262255 = V779555 - 1. assign V511009 = V399732 + 1. assign V769824 = V746991 - 1. assign V765951 = V813649 - 1. assign V650544 = V455368. assign V938662 = V001956. assign V813649 = V540466. assign V908826 = V262255 - 1. assign V760310 = V677381 + 1. assign V960208 = V470625. assign V957846 = V153912 - 1. assign V310004 = V827074. assign V012265 = V149054. assign V300686 = V130282 + 1. assign V115144 = V468152. assign V801954 = V455368. assign V885766 = V434378 + 1. assign V957648 = V672794 + 1. assign V107823 = V672794 - 1. assign V673069 = V310691 + 1. assign V957456 = V591266. assign V468152 = V950318 - 1. assign V783803 = V488619 + 1. assign V018674 = V801954 - 1. assign V804174 = V357881 + 1. assign V163529 = V950547 + 1. assign V246424 = V502456. assign V898445 = V456158 + 1. assign V713207 = V820198. assign V029065 = V412863 - 1. assign V063318 = V391279. assign V540466 = V363313 + 1. assign V250201 = V455368 - 1. assign V977053 = V179011 + 1. assign V364361 = V277873 - 1. assign V952868 = V363313 - 1. assign V746991 = V827388. assign V841139 = V492005 + 1. assign V157538 = V909126 - 1. assign V747510 = V414377. assign V029846 = V310004. assign V506414 = V810866 - 1. assign V192854 = V391279 + 1. assign V279352 = V977053. assign V794581 = V643335 - 1. assign V788122 = V149054. assign V361780 = V792652. assign V062203 = V451718 + 1. assign V826687 = V603247. assign V535550 = V827388 - 1. assign V491908 = V096577 + 1. assign V502456 = V455368. assign V448982 = V952868 + 1. assign V399732 = V332252 - 1. assign V280881 = V673069. assign V391279 = V018674. assign V412863 = V455368 + 1. assign V988587 = V018674 + 1. assign V852975 = V619146 - 1. assign V810866 = V603247. assign V093295 = V001956 + 1. assign V551097 = V277873. assign V130282 = V619146 - 1. assign V895463 = V619094. assign V677381 = V093295 - 1. assign V332252 = V302278 + 1. assign V414377 = 7. assign V698899 = V650544 - 1. assign V249422 = V016719. assign V618739 = V603247 + 1. assign V643335 = V672794 + 1. assign V936653 = V455368. assign V057048 = V107823. assign V357881 = V827388. assign V059106 = V898445 + 1. assign V061588 = V332252 - 1. assign V742169 = V585505 - 1. assign V363313 = V399732. assign V069896 = V412863. assign V061775 = V153912. assign V310691 = V715895 + 1. assign V001956 = V826687 - 1. assign V232783 = V018674 - 1. assign V584254 = V001956. assign V300940 = V488619 + 1. assign V827388 = V758493 - 1. assign V193169 = V746991 + 1. assign V050868 = V530081. assign V385696 = V016719 + 1. assign V656538 = V193169 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV414377 = 7;\n\nFrom these direct assignment(s), we have: \nV747510 = V414377 = 7;\nNo other variables can be derived from V747510;\nNo other variables can be derived from V414377;\n\nNow we have done all the calculations. Derived variables are:\nV414377 = 7;\nV747510 = 7;\n\nNow we have finished this problem. ANSWER:\nV414377, V747510\n", "role": "assistant" } ]

[ "V683837" ]

[ { "content": "<context>\nassign V764790 = V245275 - 1. assign V555592 = V410173. assign V305852 = V696285. assign V683837 = 8. assign V838531 = V652076 + 1. assign V500164 = V117882 + 1. assign V337627 = V931803 + 1. assign V821023 = V620811 + 1. assign V902969 = V982541 - 1. assign V540036 = V337627. assign V602005 = V410173. assign V774400 = V671324 - 1. assign V842305 = V480072. assign V442179 = V113763. assign V838762 = V374183 + 1. assign V987949 = V867333. assign V110081 = V138159. assign V333330 = V821739 + 1. assign V821739 = V652076 - 1. assign V639988 = V791062. assign V575915 = V474779 - 1. assign V084626 = V112134 - 1. assign V423847 = V600760 + 1. assign V070713 = V442179 - 1. assign V801935 = V090029 + 1. assign V861483 = V810466 + 1. assign V379379 = V085496 + 1. assign V173698 = V987949 + 1. assign V515858 = V365774. assign V620811 = V663977. assign V632440 = V391392 + 1. assign V671324 = V147931. assign V245275 = V977555 + 1. assign V994449 = V581839 + 1. assign V391392 = V432469. assign V251952 = V977555. assign V696848 = V889117. assign V090029 = V671324 - 1. assign V237268 = V540036 + 1. assign V344552 = V140826 + 1. assign V085496 = V652076. assign V955031 = V474779. assign V901373 = V117882 - 1. assign V526241 = V474779 - 1. assign V616971 = V821152 - 1. assign V931803 = V977555 + 1. assign V985194 = V031854 + 1. assign V968506 = V294130. assign V339218 = V138159 + 1. assign V696285 = V031854 - 1. assign V599126 = V237268 - 1. assign V447085 = V903288 + 1. assign V868908 = V977555 - 1. assign V304958 = V379379 - 1. assign V980180 = V652076 + 1. assign V252792 = V410173 - 1. assign V472712 = V432469. assign V719810 = V987949 + 1. assign V570878 = V430893 - 1. assign V762507 = V821739 - 1. assign V965123 = V581839 + 1. assign V153942 = V980180 - 1. assign V934371 = V652076 - 1. assign V092953 = V808881 + 1. assign V373182 = V946401 + 1. assign V113763 = V432469. assign V365774 = V980060 - 1. assign V370344 = V535291 + 1. assign V112134 = V987949 + 1. assign V554202 = V964667 - 1. assign V405136 = V565343 + 1. assign V982541 = V980180 - 1. assign V565343 = V762507 - 1. assign V538150 = V471761. assign V294130 = V931803 + 1. assign V696237 = V140826 - 1. assign V946401 = V902969. assign V051028 = V652076 + 1. assign V298610 = V085496 - 1. assign V105489 = V117882. assign V546656 = V886225 - 1. assign V416132 = V610410. assign V808881 = V980180. assign V592504 = V980180. assign V980060 = V652076 + 1. assign V031854 = V762507 - 1. assign V453249 = V515858 - 1. assign V474779 = V652076. assign V410173 = V821739 + 1. assign V671949 = V482853. assign V471761 = V684452 + 1. assign V148737 = V365774. assign V380142 = V147931 - 1. assign V140826 = V535291 + 1. assign V865137 = V620811 + 1. assign V246890 = V032733 + 1. assign V791062 = V922285 - 1. assign V356633 = V105489. assign V441970 = V410173 - 1. assign V430893 = V673228 - 1. assign V715612 = V084626 + 1. assign V299335 = V540036 - 1. assign V436984 = V581839 - 1. assign V438130 = V245275. assign V463878 = V538495. assign V432469 = V663977 - 1. assign V867333 = V535291. assign V821152 = V862834. assign V772706 = V112987 - 1. assign V764273 = V867333 + 1. assign V962730 = V867333. assign V750387 = V683837 - 1. assign V199690 = V538150 + 1. assign V908944 = V684452 + 1. assign V890375 = V337627 + 1. assign V424194 = V112987 + 1. assign V210500 = V922285 + 1. assign V032733 = V090029. assign V738946 = V673228 + 1. assign V096647 = V838531. assign V846750 = V808881 - 1. assign V860065 = V620811 - 1. assign V663977 = V821739 + 1. assign V640021 = V821739 + 1. assign V810466 = V581839 - 1. assign V138159 = V535291 - 1. assign V922285 = V441970 - 1. assign V862834 = V333330 + 1. assign V480072 = V442179 + 1. assign V240714 = V304958 - 1. assign V227875 = V868908 - 1. assign V950107 = V391392 + 1. assign V374183 = V901373 + 1. assign V610410 = V085496 - 1. assign V538495 = V821152 - 1. assign V744659 = V581839 + 1. assign V964667 = V602005 + 1. assign V221821 = V538495. assign V344280 = V964667 + 1. assign V675882 = V546656 - 1. assign V325173 = V031854 + 1. assign V684452 = V148737 + 1. assign V798492 = V684452. assign V712825 = V602005 - 1. assign V600760 = V405136 - 1. assign V903288 = V838531 + 1. assign V974091 = V113763 - 1. assign V147931 = V535291 - 1. assign V535291 = V821739 + 1. assign V047871 = V463878 + 1. assign V884660 = V410173. assign V586628 = V117882 + 1. assign V837505 = V821739 - 1. assign V482853 = V980060 - 1. assign V119811 = V538150 + 1. assign V554694 = V738946 + 1. assign V112987 = V865137 - 1. assign V673228 = V051028. assign V541972 = V620811 - 1. assign V241160 = V801935 - 1. assign V977555 = V432469 - 1. assign V906175 = V298610. assign V200762 = V391392 + 1. assign V886225 = V889117 - 1. assign V581839 = V663977. assign V889117 = V084626 - 1. assign V330593 = V663977 - 1. assign V964791 = V365774. assign V117882 = V663977 - 1. assign V051454 = V084626 - 1. assign V957987 = V245275. assign V040261 = V934371 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V764790 = V245275 - 1. assign V555592 = V410173. assign V305852 = V696285. assign V683837 = 8. assign V838531 = V652076 + 1. assign V500164 = V117882 + 1. assign V337627 = V931803 + 1. assign V821023 = V620811 + 1. assign V902969 = V982541 - 1. assign V540036 = V337627. assign V602005 = V410173. assign V774400 = V671324 - 1. assign V842305 = V480072. assign V442179 = V113763. assign V838762 = V374183 + 1. assign V987949 = V867333. assign V110081 = V138159. assign V333330 = V821739 + 1. assign V821739 = V652076 - 1. assign V639988 = V791062. assign V575915 = V474779 - 1. assign V084626 = V112134 - 1. assign V423847 = V600760 + 1. assign V070713 = V442179 - 1. assign V801935 = V090029 + 1. assign V861483 = V810466 + 1. assign V379379 = V085496 + 1. assign V173698 = V987949 + 1. assign V515858 = V365774. assign V620811 = V663977. assign V632440 = V391392 + 1. assign V671324 = V147931. assign V245275 = V977555 + 1. assign V994449 = V581839 + 1. assign V391392 = V432469. assign V251952 = V977555. assign V696848 = V889117. assign V090029 = V671324 - 1. assign V237268 = V540036 + 1. assign V344552 = V140826 + 1. assign V085496 = V652076. assign V955031 = V474779. assign V901373 = V117882 - 1. assign V526241 = V474779 - 1. assign V616971 = V821152 - 1. assign V931803 = V977555 + 1. assign V985194 = V031854 + 1. assign V968506 = V294130. assign V339218 = V138159 + 1. assign V696285 = V031854 - 1. assign V599126 = V237268 - 1. assign V447085 = V903288 + 1. assign V868908 = V977555 - 1. assign V304958 = V379379 - 1. assign V980180 = V652076 + 1. assign V252792 = V410173 - 1. assign V472712 = V432469. assign V719810 = V987949 + 1. assign V570878 = V430893 - 1. assign V762507 = V821739 - 1. assign V965123 = V581839 + 1. assign V153942 = V980180 - 1. assign V934371 = V652076 - 1. assign V092953 = V808881 + 1. assign V373182 = V946401 + 1. assign V113763 = V432469. assign V365774 = V980060 - 1. assign V370344 = V535291 + 1. assign V112134 = V987949 + 1. assign V554202 = V964667 - 1. assign V405136 = V565343 + 1. assign V982541 = V980180 - 1. assign V565343 = V762507 - 1. assign V538150 = V471761. assign V294130 = V931803 + 1. assign V696237 = V140826 - 1. assign V946401 = V902969. assign V051028 = V652076 + 1. assign V298610 = V085496 - 1. assign V105489 = V117882. assign V546656 = V886225 - 1. assign V416132 = V610410. assign V808881 = V980180. assign V592504 = V980180. assign V980060 = V652076 + 1. assign V031854 = V762507 - 1. assign V453249 = V515858 - 1. assign V474779 = V652076. assign V410173 = V821739 + 1. assign V671949 = V482853. assign V471761 = V684452 + 1. assign V148737 = V365774. assign V380142 = V147931 - 1. assign V140826 = V535291 + 1. assign V865137 = V620811 + 1. assign V246890 = V032733 + 1. assign V791062 = V922285 - 1. assign V356633 = V105489. assign V441970 = V410173 - 1. assign V430893 = V673228 - 1. assign V715612 = V084626 + 1. assign V299335 = V540036 - 1. assign V436984 = V581839 - 1. assign V438130 = V245275. assign V463878 = V538495. assign V432469 = V663977 - 1. assign V867333 = V535291. assign V821152 = V862834. assign V772706 = V112987 - 1. assign V764273 = V867333 + 1. assign V962730 = V867333. assign V750387 = V683837 - 1. assign V199690 = V538150 + 1. assign V908944 = V684452 + 1. assign V890375 = V337627 + 1. assign V424194 = V112987 + 1. assign V210500 = V922285 + 1. assign V032733 = V090029. assign V738946 = V673228 + 1. assign V096647 = V838531. assign V846750 = V808881 - 1. assign V860065 = V620811 - 1. assign V663977 = V821739 + 1. assign V640021 = V821739 + 1. assign V810466 = V581839 - 1. assign V138159 = V535291 - 1. assign V922285 = V441970 - 1. assign V862834 = V333330 + 1. assign V480072 = V442179 + 1. assign V240714 = V304958 - 1. assign V227875 = V868908 - 1. assign V950107 = V391392 + 1. assign V374183 = V901373 + 1. assign V610410 = V085496 - 1. assign V538495 = V821152 - 1. assign V744659 = V581839 + 1. assign V964667 = V602005 + 1. assign V221821 = V538495. assign V344280 = V964667 + 1. assign V675882 = V546656 - 1. assign V325173 = V031854 + 1. assign V684452 = V148737 + 1. assign V798492 = V684452. assign V712825 = V602005 - 1. assign V600760 = V405136 - 1. assign V903288 = V838531 + 1. assign V974091 = V113763 - 1. assign V147931 = V535291 - 1. assign V535291 = V821739 + 1. assign V047871 = V463878 + 1. assign V884660 = V410173. assign V586628 = V117882 + 1. assign V837505 = V821739 - 1. assign V482853 = V980060 - 1. assign V119811 = V538150 + 1. assign V554694 = V738946 + 1. assign V112987 = V865137 - 1. assign V673228 = V051028. assign V541972 = V620811 - 1. assign V241160 = V801935 - 1. assign V977555 = V432469 - 1. assign V906175 = V298610. assign V200762 = V391392 + 1. assign V886225 = V889117 - 1. assign V581839 = V663977. assign V889117 = V084626 - 1. assign V330593 = V663977 - 1. assign V964791 = V365774. assign V117882 = V663977 - 1. assign V051454 = V084626 - 1. assign V957987 = V245275. assign V040261 = V934371 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV683837 = 8;\n\nFrom these direct assignment(s), we have: \nV750387 = V683837 - 1 = 8 - 1 =7;\nNo other variables can be derived from V750387;\nNo other variables can be derived from V683837;\n\nNow we have done all the calculations. Derived variables are:\nV683837 = 8;\nV750387 = 7;\n\nNow we have finished this problem. ANSWER:\nV683837\n", "role": "assistant" } ]

[ "V580222" ]

[ { "content": "<context>\nassign V644176 = V398976 + 1. assign V913166 = V580222 - 1. assign V610460 = V676459 - 1. assign V393737 = V638798 + 1. assign V887187 = V145729 + 1. assign V629675 = V676459 + 1. assign V331665 = V268443. assign V235790 = V242919 + 1. assign V971695 = V917399. assign V761165 = V348419. assign V594110 = V935828 - 1. assign V041104 = V594110. assign V711087 = V266952 + 1. assign V371920 = V478330. assign V178879 = V757367. assign V848846 = V649912 + 1. assign V911478 = V999897 - 1. assign V856985 = V765002 - 1. assign V947142 = V780795. assign V870269 = V629675 + 1. assign V985771 = V318254 + 1. assign V813039 = V242919 - 1. assign V464688 = V656587 + 1. assign V676459 = V571338 - 1. assign V672956 = V656193 - 1. assign V302285 = V629675 - 1. assign V481099 = V478330. assign V296772 = V801739 - 1. assign V439270 = V638798 - 1. assign V162847 = V822750 + 1. assign V613152 = V170744 - 1. assign V498182 = V621080 + 1. assign V923539 = V592536 + 1. assign V472160 = V492255. assign V844967 = V037109 - 1. assign V398976 = V331665 + 1. assign V780795 = V813039. assign V239533 = V242919 - 1. assign V118608 = V999897. assign V719969 = V801739 - 1. assign V547552 = V445927. assign V462320 = V848846 - 1. assign V730642 = V393737. assign V182163 = V887187 - 1. assign V785668 = V145729 + 1. assign V946905 = V494285 + 1. assign V332980 = V773601 + 1. assign V111833 = V199487. assign V621080 = V162847 + 1. assign V688042 = V225119 + 1. assign V266952 = V822750. assign V170744 = V875746 + 1. assign V667783 = V565807 - 1. assign V712174 = V111833. assign V669867 = V971695 - 1. assign V145729 = V813039 + 1. assign V077852 = V178879 + 1. assign V478330 = V557495. assign V063244 = V242919. assign V562935 = V349662. assign V580222 = 9. assign V914030 = V242919. assign V229082 = V623019 - 1. assign V312539 = V145729 - 1. assign V996611 = V111833 - 1. assign V925874 = V229082 + 1. assign V592536 = V084012 + 1. assign V954731 = V318254 - 1. assign V656193 = V757367 + 1. assign V010195 = V571338. assign V557495 = V185379 - 1. assign V264771 = V757367 - 1. assign V515583 = V775245 + 1. assign V242919 = V037109. assign V349921 = V638798. assign V924161 = V954731. assign V371140 = V393737 - 1. assign V225119 = V394789 + 1. assign V819173 = V084012 + 1. assign V439470 = V937661. assign V365212 = V481099 + 1. assign V985904 = V848846 - 1. assign V649912 = V970601. assign V982377 = V365212 - 1. assign V084012 = V145729. assign V627710 = V914030 + 1. assign V735422 = V935828. assign V268443 = V757367. assign V587634 = V318254 - 1. assign V790072 = V067041 - 1. assign V818569 = V234555 + 1. assign V350743 = V757367 - 1. assign V656587 = V264771 - 1. assign V999897 = V010195. assign V349662 = V394592. assign V163821 = V879882 + 1. assign V801739 = V350743. assign V318254 = V999897 + 1. assign V743460 = V669867 - 1. assign V198755 = V785764 + 1. assign V638798 = V318254. assign V978407 = V439270. assign V247090 = V670843 + 1. assign V554784 = V010195 - 1. assign V445927 = V239533 - 1. assign V492255 = V439270. assign V041159 = V824129 - 1. assign V801778 = V313637. assign V757367 = V010195 + 1. assign V888434 = V268443 + 1. assign V497554 = V623019 + 1. assign V935828 = V348419 - 1. assign V481387 = V924161 + 1. assign V765002 = V571338. assign V785764 = V185379 - 1. assign V604242 = V472537 + 1. assign V234555 = V198755. assign V676331 = V349662. assign V879882 = V490587. assign V237400 = V780795. assign V785663 = V888434 - 1. assign V474677 = V937661 - 1. assign V690277 = V159640 - 1. assign V256112 = V848846 - 1. assign V923196 = V716725 - 1. assign V870073 = V879882. assign V089448 = V571338 + 1. assign V490587 = V264771. assign V553635 = V490587. assign V185379 = V010195 + 1. assign V875746 = V844967. assign V394789 = V162847 + 1. assign V494285 = V638798 - 1. assign V765020 = V887187. assign V829917 = V547552 - 1. assign V348419 = V623019. assign V822750 = V571338 - 1. assign V937661 = V856985. assign V856847 = V629675 + 1. assign V159640 = V757367 - 1. assign V633827 = V917399 + 1. assign V716725 = V848846. assign V783853 = V870269 - 1. assign V438822 = V239533. assign V569072 = V785764 + 1. assign V670843 = V445927 + 1. assign V199487 = V472537 - 1. assign V188071 = V089448 + 1. assign V919473 = V268443. assign V394592 = V490587. assign V527401 = V445927. assign V313637 = V592536 + 1. assign V550648 = V111833 - 1. assign V416890 = V638798. assign V775245 = V287529. assign V272747 = V775245 + 1. assign V469980 = V844967 - 1. assign V623019 = V037109 - 1. assign V067041 = V242919 + 1. assign V605822 = V371140 - 1. assign V361569 = V914030 - 1. assign V773601 = V264771. assign V501374 = V924161 - 1. assign V917399 = V925874 - 1. assign V037109 = V010195 - 1. assign V472537 = V318254. assign V577063 = V970601. assign V482520 = V879882 + 1. assign V970601 = V010195. assign V565807 = V162847 - 1. assign V287529 = V063244. assign V824129 = V937661 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V644176 = V398976 + 1. assign V913166 = V580222 - 1. assign V610460 = V676459 - 1. assign V393737 = V638798 + 1. assign V887187 = V145729 + 1. assign V629675 = V676459 + 1. assign V331665 = V268443. assign V235790 = V242919 + 1. assign V971695 = V917399. assign V761165 = V348419. assign V594110 = V935828 - 1. assign V041104 = V594110. assign V711087 = V266952 + 1. assign V371920 = V478330. assign V178879 = V757367. assign V848846 = V649912 + 1. assign V911478 = V999897 - 1. assign V856985 = V765002 - 1. assign V947142 = V780795. assign V870269 = V629675 + 1. assign V985771 = V318254 + 1. assign V813039 = V242919 - 1. assign V464688 = V656587 + 1. assign V676459 = V571338 - 1. assign V672956 = V656193 - 1. assign V302285 = V629675 - 1. assign V481099 = V478330. assign V296772 = V801739 - 1. assign V439270 = V638798 - 1. assign V162847 = V822750 + 1. assign V613152 = V170744 - 1. assign V498182 = V621080 + 1. assign V923539 = V592536 + 1. assign V472160 = V492255. assign V844967 = V037109 - 1. assign V398976 = V331665 + 1. assign V780795 = V813039. assign V239533 = V242919 - 1. assign V118608 = V999897. assign V719969 = V801739 - 1. assign V547552 = V445927. assign V462320 = V848846 - 1. assign V730642 = V393737. assign V182163 = V887187 - 1. assign V785668 = V145729 + 1. assign V946905 = V494285 + 1. assign V332980 = V773601 + 1. assign V111833 = V199487. assign V621080 = V162847 + 1. assign V688042 = V225119 + 1. assign V266952 = V822750. assign V170744 = V875746 + 1. assign V667783 = V565807 - 1. assign V712174 = V111833. assign V669867 = V971695 - 1. assign V145729 = V813039 + 1. assign V077852 = V178879 + 1. assign V478330 = V557495. assign V063244 = V242919. assign V562935 = V349662. assign V580222 = 9. assign V914030 = V242919. assign V229082 = V623019 - 1. assign V312539 = V145729 - 1. assign V996611 = V111833 - 1. assign V925874 = V229082 + 1. assign V592536 = V084012 + 1. assign V954731 = V318254 - 1. assign V656193 = V757367 + 1. assign V010195 = V571338. assign V557495 = V185379 - 1. assign V264771 = V757367 - 1. assign V515583 = V775245 + 1. assign V242919 = V037109. assign V349921 = V638798. assign V924161 = V954731. assign V371140 = V393737 - 1. assign V225119 = V394789 + 1. assign V819173 = V084012 + 1. assign V439470 = V937661. assign V365212 = V481099 + 1. assign V985904 = V848846 - 1. assign V649912 = V970601. assign V982377 = V365212 - 1. assign V084012 = V145729. assign V627710 = V914030 + 1. assign V735422 = V935828. assign V268443 = V757367. assign V587634 = V318254 - 1. assign V790072 = V067041 - 1. assign V818569 = V234555 + 1. assign V350743 = V757367 - 1. assign V656587 = V264771 - 1. assign V999897 = V010195. assign V349662 = V394592. assign V163821 = V879882 + 1. assign V801739 = V350743. assign V318254 = V999897 + 1. assign V743460 = V669867 - 1. assign V198755 = V785764 + 1. assign V638798 = V318254. assign V978407 = V439270. assign V247090 = V670843 + 1. assign V554784 = V010195 - 1. assign V445927 = V239533 - 1. assign V492255 = V439270. assign V041159 = V824129 - 1. assign V801778 = V313637. assign V757367 = V010195 + 1. assign V888434 = V268443 + 1. assign V497554 = V623019 + 1. assign V935828 = V348419 - 1. assign V481387 = V924161 + 1. assign V765002 = V571338. assign V785764 = V185379 - 1. assign V604242 = V472537 + 1. assign V234555 = V198755. assign V676331 = V349662. assign V879882 = V490587. assign V237400 = V780795. assign V785663 = V888434 - 1. assign V474677 = V937661 - 1. assign V690277 = V159640 - 1. assign V256112 = V848846 - 1. assign V923196 = V716725 - 1. assign V870073 = V879882. assign V089448 = V571338 + 1. assign V490587 = V264771. assign V553635 = V490587. assign V185379 = V010195 + 1. assign V875746 = V844967. assign V394789 = V162847 + 1. assign V494285 = V638798 - 1. assign V765020 = V887187. assign V829917 = V547552 - 1. assign V348419 = V623019. assign V822750 = V571338 - 1. assign V937661 = V856985. assign V856847 = V629675 + 1. assign V159640 = V757367 - 1. assign V633827 = V917399 + 1. assign V716725 = V848846. assign V783853 = V870269 - 1. assign V438822 = V239533. assign V569072 = V785764 + 1. assign V670843 = V445927 + 1. assign V199487 = V472537 - 1. assign V188071 = V089448 + 1. assign V919473 = V268443. assign V394592 = V490587. assign V527401 = V445927. assign V313637 = V592536 + 1. assign V550648 = V111833 - 1. assign V416890 = V638798. assign V775245 = V287529. assign V272747 = V775245 + 1. assign V469980 = V844967 - 1. assign V623019 = V037109 - 1. assign V067041 = V242919 + 1. assign V605822 = V371140 - 1. assign V361569 = V914030 - 1. assign V773601 = V264771. assign V501374 = V924161 - 1. assign V917399 = V925874 - 1. assign V037109 = V010195 - 1. assign V472537 = V318254. assign V577063 = V970601. assign V482520 = V879882 + 1. assign V970601 = V010195. assign V565807 = V162847 - 1. assign V287529 = V063244. assign V824129 = V937661 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV580222 = 9;\n\nFrom these direct assignment(s), we have: \nV913166 = V580222 - 1 = 9 - 1 =8;\nNo other variables can be derived from V913166;\nNo other variables can be derived from V580222;\n\nNow we have done all the calculations. Derived variables are:\nV580222 = 9;\nV913166 = 8;\n\nNow we have finished this problem. ANSWER:\nV580222\n", "role": "assistant" } ]

[ "V439739" ]

[ { "content": "<context>\nassign V239605 = V519578 + 1. assign V769842 = V512093 + 1. assign V821260 = V812924. assign V682303 = V575558 + 1. assign V612613 = V231803 + 1. assign V136284 = V504778. assign V173527 = V146304. assign V807445 = V403252 - 1. assign V746858 = V931940 + 1. assign V748624 = V821260. assign V016758 = V933059 + 1. assign V727502 = V891025 + 1. assign V590752 = V775310 - 1. assign V577058 = V162132 + 1. assign V610446 = V436290 - 1. assign V504778 = V821260. assign V671720 = V132897. assign V981361 = V302435 - 1. assign V512093 = V041136 + 1. assign V861524 = V933059 - 1. assign V195937 = V252587 - 1. assign V250518 = V426353. assign V006241 = V124748 + 1. assign V831888 = V075184 - 1. assign V183430 = V506534 + 1. assign V535581 = V374159. assign V850137 = V016758 - 1. assign V235933 = V986710. assign V651302 = V164878 + 1. assign V184631 = V506534. assign V819927 = V095770 + 1. assign V967785 = V903802 - 1. assign V727530 = V715390. assign V695600 = V732465. assign V436242 = V284830 + 1. assign V055451 = V302435 + 1. assign V575558 = V775310 + 1. assign V875213 = V727530. assign V374159 = V613105. assign V530146 = V624065 + 1. assign V884169 = V490931 - 1. assign V810712 = V957929 + 1. assign V760940 = V506534 + 1. assign V095770 = V891025 + 1. assign V936303 = V323750 + 1. assign V455655 = V489550 - 1. assign V760155 = V732465 + 1. assign V251896 = V146304. assign V132897 = V939225. assign V402088 = V705818 - 1. assign V075184 = V891025 - 1. assign V474994 = V903802 + 1. assign V903802 = V146304. assign V407191 = V036647. assign V403252 = V908056 + 1. assign V445884 = V936303. assign V398639 = V422780 - 1. assign V891836 = V164878 + 1. assign V613105 = V891025 + 1. assign V313197 = V715390. assign V822858 = V643444 - 1. assign V740924 = V425462. assign V891025 = V715390. assign V444347 = V301996 + 1. assign V715390 = V786007 - 1. assign V967967 = V504778 + 1. assign V568012 = V709684. assign V323750 = V568012 + 1. assign V490931 = V252587 + 1. assign V351439 = V301996 - 1. assign V722169 = V075184. assign V786007 = V231803 + 1. assign V758132 = V613105. assign V812924 = V422780 - 1. assign V164878 = V786007. assign V425462 = V828000 + 1. assign V858887 = V732465. assign V436290 = V854517. assign V231803 = V709684 + 1. assign V314291 = V095770. assign V932562 = V374159 + 1. assign V474529 = V580363 - 1. assign V796714 = V575558 - 1. assign V775310 = V722169. assign V407952 = V231803. assign V134691 = V284830. assign V041889 = V062940 + 1. assign V320238 = V231803 - 1. assign V637704 = V340274. assign V071659 = V276011 + 1. assign V301996 = V775310 + 1. assign V854517 = V231803 - 1. assign V329013 = V195937 - 1. assign V231186 = V407191 - 1. assign V193147 = V957367 - 1. assign V608904 = V383406 - 1. assign V151378 = V506534 + 1. assign V801172 = V891025. assign V209053 = V314291 + 1. assign V368613 = V769842 + 1. assign V957367 = V921036 - 1. assign V026192 = V891836 + 1. assign V422780 = V715390 - 1. assign V994575 = V933059 + 1. assign V371215 = V760940 + 1. assign V588974 = V973014 - 1. assign V769009 = V624065 - 1. assign V124748 = V323750 + 1. assign V831694 = V973014 - 1. assign V931940 = V643444 - 1. assign V698104 = V801172 + 1. assign V786733 = V695600. assign V611121 = V786007 + 1. assign V939225 = V320238 + 1. assign V426353 = V828000 - 1. assign V635294 = V407952. assign V108045 = V407191. assign V474690 = V821260 + 1. assign V284830 = V891025 + 1. assign V036647 = V374159 - 1. assign V078978 = V445884 + 1. assign V624065 = V709684 + 1. assign V146304 = V075184. assign V987707 = V436242. assign V970749 = V602513. assign V340274 = V146304 + 1. assign V534685 = V026192 + 1. assign V715610 = V760940 + 1. assign V643444 = V383406. assign V041136 = V284830 - 1. assign V239201 = V330946. assign V332090 = V568012 + 1. assign V957929 = V801172 - 1. assign V162132 = V936303 + 1. assign V058425 = V569165. assign V828000 = V251896. assign V506534 = V715390. assign V338470 = V239201. assign V986710 = V252587. assign V981288 = V041136. assign V933059 = V323750 + 1. assign V908056 = V635294 - 1. assign V572525 = V445884 + 1. assign V302435 = V422780. assign V439739 = 7. assign V705818 = V036647 - 1. assign V921036 = V613105 + 1. assign V330946 = V425462 - 1. assign V519578 = V957367. assign V304443 = V981361. assign V276011 = V407952 - 1. assign V973014 = V970749. assign V780466 = V970749 - 1. assign V732465 = V775310. assign V749539 = V760940. assign V383406 = V709684. assign V682721 = V439739 - 1. assign V467062 = V796714 + 1. assign V602513 = V195937 + 1. assign V062940 = V850137. assign V945360 = V828000 - 1. assign V734457 = V016758. assign V316135 = V821260 + 1. assign V446909 = V231186 - 1. assign V489550 = V323750 + 1. assign V159984 = V769842 - 1. assign V671899 = V036647. assign V252587 = V383406 + 1. assign V112007 = V821260. assign V569165 = V041136 - 1. assign V580363 = V284830 + 1. assign V629048 = V936303 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V239605 = V519578 + 1. assign V769842 = V512093 + 1. assign V821260 = V812924. assign V682303 = V575558 + 1. assign V612613 = V231803 + 1. assign V136284 = V504778. assign V173527 = V146304. assign V807445 = V403252 - 1. assign V746858 = V931940 + 1. assign V748624 = V821260. assign V016758 = V933059 + 1. assign V727502 = V891025 + 1. assign V590752 = V775310 - 1. assign V577058 = V162132 + 1. assign V610446 = V436290 - 1. assign V504778 = V821260. assign V671720 = V132897. assign V981361 = V302435 - 1. assign V512093 = V041136 + 1. assign V861524 = V933059 - 1. assign V195937 = V252587 - 1. assign V250518 = V426353. assign V006241 = V124748 + 1. assign V831888 = V075184 - 1. assign V183430 = V506534 + 1. assign V535581 = V374159. assign V850137 = V016758 - 1. assign V235933 = V986710. assign V651302 = V164878 + 1. assign V184631 = V506534. assign V819927 = V095770 + 1. assign V967785 = V903802 - 1. assign V727530 = V715390. assign V695600 = V732465. assign V436242 = V284830 + 1. assign V055451 = V302435 + 1. assign V575558 = V775310 + 1. assign V875213 = V727530. assign V374159 = V613105. assign V530146 = V624065 + 1. assign V884169 = V490931 - 1. assign V810712 = V957929 + 1. assign V760940 = V506534 + 1. assign V095770 = V891025 + 1. assign V936303 = V323750 + 1. assign V455655 = V489550 - 1. assign V760155 = V732465 + 1. assign V251896 = V146304. assign V132897 = V939225. assign V402088 = V705818 - 1. assign V075184 = V891025 - 1. assign V474994 = V903802 + 1. assign V903802 = V146304. assign V407191 = V036647. assign V403252 = V908056 + 1. assign V445884 = V936303. assign V398639 = V422780 - 1. assign V891836 = V164878 + 1. assign V613105 = V891025 + 1. assign V313197 = V715390. assign V822858 = V643444 - 1. assign V740924 = V425462. assign V891025 = V715390. assign V444347 = V301996 + 1. assign V715390 = V786007 - 1. assign V967967 = V504778 + 1. assign V568012 = V709684. assign V323750 = V568012 + 1. assign V490931 = V252587 + 1. assign V351439 = V301996 - 1. assign V722169 = V075184. assign V786007 = V231803 + 1. assign V758132 = V613105. assign V812924 = V422780 - 1. assign V164878 = V786007. assign V425462 = V828000 + 1. assign V858887 = V732465. assign V436290 = V854517. assign V231803 = V709684 + 1. assign V314291 = V095770. assign V932562 = V374159 + 1. assign V474529 = V580363 - 1. assign V796714 = V575558 - 1. assign V775310 = V722169. assign V407952 = V231803. assign V134691 = V284830. assign V041889 = V062940 + 1. assign V320238 = V231803 - 1. assign V637704 = V340274. assign V071659 = V276011 + 1. assign V301996 = V775310 + 1. assign V854517 = V231803 - 1. assign V329013 = V195937 - 1. assign V231186 = V407191 - 1. assign V193147 = V957367 - 1. assign V608904 = V383406 - 1. assign V151378 = V506534 + 1. assign V801172 = V891025. assign V209053 = V314291 + 1. assign V368613 = V769842 + 1. assign V957367 = V921036 - 1. assign V026192 = V891836 + 1. assign V422780 = V715390 - 1. assign V994575 = V933059 + 1. assign V371215 = V760940 + 1. assign V588974 = V973014 - 1. assign V769009 = V624065 - 1. assign V124748 = V323750 + 1. assign V831694 = V973014 - 1. assign V931940 = V643444 - 1. assign V698104 = V801172 + 1. assign V786733 = V695600. assign V611121 = V786007 + 1. assign V939225 = V320238 + 1. assign V426353 = V828000 - 1. assign V635294 = V407952. assign V108045 = V407191. assign V474690 = V821260 + 1. assign V284830 = V891025 + 1. assign V036647 = V374159 - 1. assign V078978 = V445884 + 1. assign V624065 = V709684 + 1. assign V146304 = V075184. assign V987707 = V436242. assign V970749 = V602513. assign V340274 = V146304 + 1. assign V534685 = V026192 + 1. assign V715610 = V760940 + 1. assign V643444 = V383406. assign V041136 = V284830 - 1. assign V239201 = V330946. assign V332090 = V568012 + 1. assign V957929 = V801172 - 1. assign V162132 = V936303 + 1. assign V058425 = V569165. assign V828000 = V251896. assign V506534 = V715390. assign V338470 = V239201. assign V986710 = V252587. assign V981288 = V041136. assign V933059 = V323750 + 1. assign V908056 = V635294 - 1. assign V572525 = V445884 + 1. assign V302435 = V422780. assign V439739 = 7. assign V705818 = V036647 - 1. assign V921036 = V613105 + 1. assign V330946 = V425462 - 1. assign V519578 = V957367. assign V304443 = V981361. assign V276011 = V407952 - 1. assign V973014 = V970749. assign V780466 = V970749 - 1. assign V732465 = V775310. assign V749539 = V760940. assign V383406 = V709684. assign V682721 = V439739 - 1. assign V467062 = V796714 + 1. assign V602513 = V195937 + 1. assign V062940 = V850137. assign V945360 = V828000 - 1. assign V734457 = V016758. assign V316135 = V821260 + 1. assign V446909 = V231186 - 1. assign V489550 = V323750 + 1. assign V159984 = V769842 - 1. assign V671899 = V036647. assign V252587 = V383406 + 1. assign V112007 = V821260. assign V569165 = V041136 - 1. assign V580363 = V284830 + 1. assign V629048 = V936303 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV439739 = 7;\n\nFrom these direct assignment(s), we have: \nV682721 = V439739 - 1 = 7 - 1 =6;\nNo other variables can be derived from V682721;\nNo other variables can be derived from V439739;\n\nNow we have done all the calculations. Derived variables are:\nV439739 = 7;\nV682721 = 6;\n\nNow we have finished this problem. ANSWER:\nV439739\n", "role": "assistant" } ]

[ "V565149" ]

[ { "content": "<context>\nassign V839607 = V788355. assign V838751 = V222845. assign V021861 = V879771 - 1. assign V815844 = V614363. assign V785532 = V494935 - 1. assign V199469 = V369860. assign V768695 = V305550 + 1. assign V201149 = V810059 - 1. assign V526435 = V251126 - 1. assign V518357 = V324850 - 1. assign V322468 = V947077 + 1. assign V487804 = V503346. assign V528243 = V701833 + 1. assign V798443 = V526435 - 1. assign V991910 = V107033 + 1. assign V370851 = V041740 - 1. assign V353593 = V429026 + 1. assign V455062 = V614363 - 1. assign V707065 = V455328 + 1. assign V701833 = V911302. assign V912264 = V581584 + 1. assign V961944 = V607631 + 1. assign V494935 = V487804 + 1. assign V983589 = V880913 - 1. assign V901297 = V305550 + 1. assign V326850 = V879771 - 1. assign V640787 = V872701. assign V041740 = V701833. assign V983333 = V294617 + 1. assign V812585 = V188472 + 1. assign V171486 = V952634 - 1. assign V722897 = V667732 - 1. assign V978305 = V199449 - 1. assign V930166 = V305550 - 1. assign V324850 = V326850 + 1. assign V296849 = V021861 + 1. assign V377636 = V199449 - 1. assign V211442 = V663566 - 1. assign V129490 = V514080 + 1. assign V201866 = V617153 - 1. assign V529446 = V369749. assign V516793 = V790999. assign V984335 = V659973 + 1. assign V911302 = V305550 - 1. assign V991762 = V842551 - 1. assign V107033 = V707065 - 1. assign V679992 = V947077. assign V279389 = V516793. assign V026280 = V845993 + 1. assign V455328 = V768695 + 1. assign V872701 = V756752 + 1. assign V360241 = V518357. assign V863394 = V203910 - 1. assign V654214 = V879771. assign V222845 = V690034 + 1. assign V587559 = V663685 - 1. assign V052701 = V199449. assign V514080 = V883749 - 1. assign V896253 = V930166. assign V822891 = V607631 - 1. assign V360626 = V530239. assign V246480 = V722897 - 1. assign V790999 = V663685 + 1. assign V663566 = V528243 + 1. assign V310572 = V305550. assign V156283 = V767915 - 1. assign V503346 = V663566 - 1. assign V012574 = V052701 - 1. assign V413099 = V701833. assign V951221 = V319495. assign V658421 = V465547 + 1. assign V245603 = V663685 - 1. assign V389972 = V503346. assign V512406 = V812585. assign V750979 = V872701 + 1. assign V617153 = V360241 + 1. assign V626421 = V911302. assign V200313 = V879771. assign V849828 = V666669 - 1. assign V227148 = V129490. assign V663685 = V429026. assign V465547 = V413099. assign V565149 = 6. assign V810059 = V526435. assign V842551 = V880913 + 1. assign V538112 = V192054 + 1. assign V882180 = V455062. assign V860931 = V932767. assign V178932 = V526435 - 1. assign V429026 = V663566 - 1. assign V607631 = V530239 - 1. assign V185557 = V380446 - 1. assign V872351 = V788355. assign V351754 = V262456 + 1. assign V469143 = V514080 + 1. assign V319495 = V528243 + 1. assign V614363 = V654214 + 1. assign V459949 = V305550. assign V370723 = V494935. assign V845993 = V911302 + 1. assign V880973 = V319495. assign V970844 = V171849. assign V109430 = V750979. assign V199449 = V286795. assign V203910 = V930166 + 1. assign V328797 = V332424 + 1. assign V898054 = V815844. assign V262456 = V188472 - 1. assign V215486 = V201149 - 1. assign V188472 = V843772 + 1. assign V566953 = V138709 + 1. assign V039025 = V530239 + 1. assign V524699 = V901297. assign V121253 = V843772. assign V756752 = V518357 + 1. assign V843772 = V326850 + 1. assign V955205 = V413099. assign V899322 = V109430 - 1. assign V819349 = V516793. assign V666669 = V459949 + 1. assign V251126 = V811263. assign V659973 = V756752. assign V581584 = V707065 + 1. assign V377902 = V614363. assign V378026 = V203910 + 1. assign V947077 = V370723 + 1. assign V015600 = V370851. assign V029022 = V180106. assign V138709 = V626421 - 1. assign V292915 = V970844. assign V481951 = V326850 + 1. assign V476799 = V811263. assign V106824 = V041740. assign V230106 = V029022 + 1. assign V171849 = V955205 + 1. assign V767915 = V528243 + 1. assign V479463 = V565149 + 1. assign V369749 = V626421 - 1. assign V294617 = V911302 + 1. assign V667732 = V815844 - 1. assign V642049 = V667732. assign V318700 = V203910 + 1. assign V286795 = V654214 - 1. assign V932767 = V203910 - 1. assign V625542 = V328797. assign V811263 = V319495 - 1. assign V312536 = V021861. assign V322176 = V487804 - 1. assign V880913 = V626421 - 1. assign V180106 = V587559. assign V369860 = V026280 - 1. assign V660545 = V528243. assign V690034 = V021861 - 1. assign V087660 = V490360. assign V380446 = V286795 + 1. assign V033780 = V701833. assign V950841 = V518357. assign V788355 = V911302 - 1. assign V335616 = V690034 + 1. assign V304706 = V538112 - 1. assign V952634 = V296849 + 1. assign V332424 = V845993. assign V879771 = V528243 + 1. assign V192054 = V614363 + 1. assign V530239 = V701833 + 1. assign V738521 = V251126 - 1. assign V883749 = V811263 + 1. assign V594927 = V351754 + 1. assign V579318 = V294617 + 1. assign V127884 = V614363 - 1. assign V490360 = V324850 + 1. assign V976380 = V701833 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V839607 = V788355. assign V838751 = V222845. assign V021861 = V879771 - 1. assign V815844 = V614363. assign V785532 = V494935 - 1. assign V199469 = V369860. assign V768695 = V305550 + 1. assign V201149 = V810059 - 1. assign V526435 = V251126 - 1. assign V518357 = V324850 - 1. assign V322468 = V947077 + 1. assign V487804 = V503346. assign V528243 = V701833 + 1. assign V798443 = V526435 - 1. assign V991910 = V107033 + 1. assign V370851 = V041740 - 1. assign V353593 = V429026 + 1. assign V455062 = V614363 - 1. assign V707065 = V455328 + 1. assign V701833 = V911302. assign V912264 = V581584 + 1. assign V961944 = V607631 + 1. assign V494935 = V487804 + 1. assign V983589 = V880913 - 1. assign V901297 = V305550 + 1. assign V326850 = V879771 - 1. assign V640787 = V872701. assign V041740 = V701833. assign V983333 = V294617 + 1. assign V812585 = V188472 + 1. assign V171486 = V952634 - 1. assign V722897 = V667732 - 1. assign V978305 = V199449 - 1. assign V930166 = V305550 - 1. assign V324850 = V326850 + 1. assign V296849 = V021861 + 1. assign V377636 = V199449 - 1. assign V211442 = V663566 - 1. assign V129490 = V514080 + 1. assign V201866 = V617153 - 1. assign V529446 = V369749. assign V516793 = V790999. assign V984335 = V659973 + 1. assign V911302 = V305550 - 1. assign V991762 = V842551 - 1. assign V107033 = V707065 - 1. assign V679992 = V947077. assign V279389 = V516793. assign V026280 = V845993 + 1. assign V455328 = V768695 + 1. assign V872701 = V756752 + 1. assign V360241 = V518357. assign V863394 = V203910 - 1. assign V654214 = V879771. assign V222845 = V690034 + 1. assign V587559 = V663685 - 1. assign V052701 = V199449. assign V514080 = V883749 - 1. assign V896253 = V930166. assign V822891 = V607631 - 1. assign V360626 = V530239. assign V246480 = V722897 - 1. assign V790999 = V663685 + 1. assign V663566 = V528243 + 1. assign V310572 = V305550. assign V156283 = V767915 - 1. assign V503346 = V663566 - 1. assign V012574 = V052701 - 1. assign V413099 = V701833. assign V951221 = V319495. assign V658421 = V465547 + 1. assign V245603 = V663685 - 1. assign V389972 = V503346. assign V512406 = V812585. assign V750979 = V872701 + 1. assign V617153 = V360241 + 1. assign V626421 = V911302. assign V200313 = V879771. assign V849828 = V666669 - 1. assign V227148 = V129490. assign V663685 = V429026. assign V465547 = V413099. assign V565149 = 6. assign V810059 = V526435. assign V842551 = V880913 + 1. assign V538112 = V192054 + 1. assign V882180 = V455062. assign V860931 = V932767. assign V178932 = V526435 - 1. assign V429026 = V663566 - 1. assign V607631 = V530239 - 1. assign V185557 = V380446 - 1. assign V872351 = V788355. assign V351754 = V262456 + 1. assign V469143 = V514080 + 1. assign V319495 = V528243 + 1. assign V614363 = V654214 + 1. assign V459949 = V305550. assign V370723 = V494935. assign V845993 = V911302 + 1. assign V880973 = V319495. assign V970844 = V171849. assign V109430 = V750979. assign V199449 = V286795. assign V203910 = V930166 + 1. assign V328797 = V332424 + 1. assign V898054 = V815844. assign V262456 = V188472 - 1. assign V215486 = V201149 - 1. assign V188472 = V843772 + 1. assign V566953 = V138709 + 1. assign V039025 = V530239 + 1. assign V524699 = V901297. assign V121253 = V843772. assign V756752 = V518357 + 1. assign V843772 = V326850 + 1. assign V955205 = V413099. assign V899322 = V109430 - 1. assign V819349 = V516793. assign V666669 = V459949 + 1. assign V251126 = V811263. assign V659973 = V756752. assign V581584 = V707065 + 1. assign V377902 = V614363. assign V378026 = V203910 + 1. assign V947077 = V370723 + 1. assign V015600 = V370851. assign V029022 = V180106. assign V138709 = V626421 - 1. assign V292915 = V970844. assign V481951 = V326850 + 1. assign V476799 = V811263. assign V106824 = V041740. assign V230106 = V029022 + 1. assign V171849 = V955205 + 1. assign V767915 = V528243 + 1. assign V479463 = V565149 + 1. assign V369749 = V626421 - 1. assign V294617 = V911302 + 1. assign V667732 = V815844 - 1. assign V642049 = V667732. assign V318700 = V203910 + 1. assign V286795 = V654214 - 1. assign V932767 = V203910 - 1. assign V625542 = V328797. assign V811263 = V319495 - 1. assign V312536 = V021861. assign V322176 = V487804 - 1. assign V880913 = V626421 - 1. assign V180106 = V587559. assign V369860 = V026280 - 1. assign V660545 = V528243. assign V690034 = V021861 - 1. assign V087660 = V490360. assign V380446 = V286795 + 1. assign V033780 = V701833. assign V950841 = V518357. assign V788355 = V911302 - 1. assign V335616 = V690034 + 1. assign V304706 = V538112 - 1. assign V952634 = V296849 + 1. assign V332424 = V845993. assign V879771 = V528243 + 1. assign V192054 = V614363 + 1. assign V530239 = V701833 + 1. assign V738521 = V251126 - 1. assign V883749 = V811263 + 1. assign V594927 = V351754 + 1. assign V579318 = V294617 + 1. assign V127884 = V614363 - 1. assign V490360 = V324850 + 1. assign V976380 = V701833 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV565149 = 6;\n\nFrom these direct assignment(s), we have: \nV479463 = V565149 + 1 = 6 + 1 =7;\nNo other variables can be derived from V479463;\nNo other variables can be derived from V565149;\n\nNow we have done all the calculations. Derived variables are:\nV565149 = 6;\nV479463 = 7;\n\nNow we have finished this problem. ANSWER:\nV565149\n", "role": "assistant" } ]

[ "V929337", "V213418" ]

[ { "content": "<context>\nassign V152223 = V640583 + 1. assign V818197 = V352149. assign V155096 = V809643 + 1. assign V293234 = V135071 + 1. assign V767642 = V205156 - 1. assign V246329 = V177771. assign V790568 = V809643 + 1. assign V819080 = V622663 - 1. assign V803882 = V727383 + 1. assign V864956 = V532583. assign V042298 = V674203 + 1. assign V083215 = V181868. assign V446922 = V780650. assign V931552 = V168218 + 1. assign V603824 = V615174. assign V316180 = V212662. assign V481436 = V780600 - 1. assign V940419 = V629897 - 1. assign V604845 = V640583 + 1. assign V216249 = V809643. assign V735016 = V025115. assign V168218 = V672266. assign V780600 = V175610. assign V456155 = V757054 + 1. assign V397071 = V490344. assign V294843 = V175610. assign V455845 = V215737. assign V457124 = V640583 + 1. assign V952140 = V694841. assign V062936 = V689519 - 1. assign V968756 = V819663 - 1. assign V865678 = V061593 - 1. assign V640583 = V212662 - 1. assign V362201 = V555947 - 1. assign V017840 = V940419 + 1. assign V634534 = V215737 - 1. assign V950595 = V672266 + 1. assign V482051 = V681786 - 1. assign V280981 = V110981 - 1. assign V780650 = V780600. assign V694841 = V809643 + 1. assign V712199 = V640583 - 1. assign V837511 = V405217 + 1. assign V909841 = V421682 - 1. assign V081082 = V358515 + 1. assign V952348 = V545423 + 1. assign V979849 = V276306 - 1. assign V532583 = V358515 + 1. assign V136362 = V968756 - 1. assign V421682 = V197524 + 1. assign V455315 = V110981. assign V010399 = V205156. assign V550747 = V455315 - 1. assign V514576 = V629897. assign V893838 = V175610 - 1. assign V392535 = V689519 + 1. assign V530991 = V075697. assign V177771 = V819663 + 1. assign V341514 = V397071 + 1. assign V083944 = V662831 + 1. assign V548196 = V721602 - 1. assign V409278 = V294843 - 1. assign V295140 = V293206 - 1. assign V769464 = V241278 + 1. assign V379838 = V316180 - 1. assign V373307 = V629897 + 1. assign V492504 = V490344 + 1. assign V197524 = V790568 + 1. assign V866811 = V545423 + 1. assign V941933 = V790568 - 1. assign V266281 = V456155 + 1. assign V403978 = V352149. assign V181868 = V197524 + 1. assign V089181 = V941933. assign V197859 = V931552. assign V651826 = V175610. assign V528174 = V397071 + 1. assign V411607 = V405217 + 1. assign V533603 = V350683 + 1. assign V061593 = V706576 + 1. assign V706576 = V529028 - 1. assign V727383 = V075697 - 1. assign V962515 = V405217 - 1. assign V816934 = V818197 - 1. assign V205156 = V941933 + 1. assign V490344 = V259199 - 1. assign V600330 = V135071. assign V135071 = V809643. assign V622663 = V350683. assign V213418 = V929337. assign V681786 = V555947 - 1. assign V586987 = V674203. assign V703504 = V198389 + 1. assign V662831 = V397071. assign V405282 = V293206 + 1. assign V629897 = V241278 - 1. assign V293206 = V175610. assign V519070 = V950595 + 1. assign V827337 = V757054 - 1. assign V175610 = V212662 + 1. assign V194161 = V276306 + 1. assign V259199 = V809643. assign V615174 = V246329 - 1. assign V198389 = V254000 + 1. assign V276306 = V651826 + 1. assign V870559 = V061593 + 1. assign V967220 = V259199. assign V156573 = V809643. assign V555947 = V819663. assign V215737 = V197859 + 1. assign V281953 = V514576 - 1. assign V513812 = V780600 + 1. assign V405217 = V212662 - 1. assign V004467 = V156573 - 1. assign V196468 = V604845 + 1. assign V205179 = V397071 + 1. assign V373165 = V968756. assign V521509 = V940419 + 1. assign V608458 = V276306 + 1. assign V520654 = V979849 + 1. assign V180240 = V276306 - 1. assign V212662 = V809643 + 1. assign V110981 = V294843 + 1. assign V642401 = V555947 + 1. assign V838012 = V197524. assign V338904 = V819448. assign V672266 = V674203. assign V021568 = V545423 - 1. assign V304198 = V254000 - 1. assign V311206 = V967220. assign V689519 = V640583 + 1. assign V352149 = V721602 - 1. assign V716483 = V293206 - 1. assign V151692 = V837511 - 1. assign V819663 = V135071 + 1. assign V350683 = V809643. assign V809180 = V198389 - 1. assign V545423 = V156573. assign V891130 = V294843. assign V819448 = V706576. assign V577069 = V716483 + 1. assign V116282 = V212662 - 1. assign V228894 = V634534. assign V829884 = V865678. assign V462841 = V021568 + 1. assign V721602 = V042298 + 1. assign V316303 = V175610 + 1. assign V407405 = V341514 - 1. assign V125820 = V514576 - 1. assign V671593 = V212662. assign V674203 = V197524 - 1. assign V412351 = V819448. assign V358515 = V110981 + 1. assign V798069 = V757054 - 1. assign V656616 = V280981 + 1. assign V241278 = V529028 - 1. assign V110079 = V604845 + 1. assign V465304 = V533603 - 1. assign V436167 = V681786. assign V395601 = V341514 + 1. assign V757054 = V254000. assign V254000 = V373165. assign V025115 = V407405 + 1. assign V146863 = V967220 - 1. assign V664362 = V205156 - 1. assign V567374 = V081082 - 1. assign V529028 = V135071 - 1. assign V929337 = 9. assign V768792 = V577069. assign V836936 = V968756. assign V075697 = V175610 - 1. assign V553933 = V266281 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V152223 = V640583 + 1. assign V818197 = V352149. assign V155096 = V809643 + 1. assign V293234 = V135071 + 1. assign V767642 = V205156 - 1. assign V246329 = V177771. assign V790568 = V809643 + 1. assign V819080 = V622663 - 1. assign V803882 = V727383 + 1. assign V864956 = V532583. assign V042298 = V674203 + 1. assign V083215 = V181868. assign V446922 = V780650. assign V931552 = V168218 + 1. assign V603824 = V615174. assign V316180 = V212662. assign V481436 = V780600 - 1. assign V940419 = V629897 - 1. assign V604845 = V640583 + 1. assign V216249 = V809643. assign V735016 = V025115. assign V168218 = V672266. assign V780600 = V175610. assign V456155 = V757054 + 1. assign V397071 = V490344. assign V294843 = V175610. assign V455845 = V215737. assign V457124 = V640583 + 1. assign V952140 = V694841. assign V062936 = V689519 - 1. assign V968756 = V819663 - 1. assign V865678 = V061593 - 1. assign V640583 = V212662 - 1. assign V362201 = V555947 - 1. assign V017840 = V940419 + 1. assign V634534 = V215737 - 1. assign V950595 = V672266 + 1. assign V482051 = V681786 - 1. assign V280981 = V110981 - 1. assign V780650 = V780600. assign V694841 = V809643 + 1. assign V712199 = V640583 - 1. assign V837511 = V405217 + 1. assign V909841 = V421682 - 1. assign V081082 = V358515 + 1. assign V952348 = V545423 + 1. assign V979849 = V276306 - 1. assign V532583 = V358515 + 1. assign V136362 = V968756 - 1. assign V421682 = V197524 + 1. assign V455315 = V110981. assign V010399 = V205156. assign V550747 = V455315 - 1. assign V514576 = V629897. assign V893838 = V175610 - 1. assign V392535 = V689519 + 1. assign V530991 = V075697. assign V177771 = V819663 + 1. assign V341514 = V397071 + 1. assign V083944 = V662831 + 1. assign V548196 = V721602 - 1. assign V409278 = V294843 - 1. assign V295140 = V293206 - 1. assign V769464 = V241278 + 1. assign V379838 = V316180 - 1. assign V373307 = V629897 + 1. assign V492504 = V490344 + 1. assign V197524 = V790568 + 1. assign V866811 = V545423 + 1. assign V941933 = V790568 - 1. assign V266281 = V456155 + 1. assign V403978 = V352149. assign V181868 = V197524 + 1. assign V089181 = V941933. assign V197859 = V931552. assign V651826 = V175610. assign V528174 = V397071 + 1. assign V411607 = V405217 + 1. assign V533603 = V350683 + 1. assign V061593 = V706576 + 1. assign V706576 = V529028 - 1. assign V727383 = V075697 - 1. assign V962515 = V405217 - 1. assign V816934 = V818197 - 1. assign V205156 = V941933 + 1. assign V490344 = V259199 - 1. assign V600330 = V135071. assign V135071 = V809643. assign V622663 = V350683. assign V213418 = V929337. assign V681786 = V555947 - 1. assign V586987 = V674203. assign V703504 = V198389 + 1. assign V662831 = V397071. assign V405282 = V293206 + 1. assign V629897 = V241278 - 1. assign V293206 = V175610. assign V519070 = V950595 + 1. assign V827337 = V757054 - 1. assign V175610 = V212662 + 1. assign V194161 = V276306 + 1. assign V259199 = V809643. assign V615174 = V246329 - 1. assign V198389 = V254000 + 1. assign V276306 = V651826 + 1. assign V870559 = V061593 + 1. assign V967220 = V259199. assign V156573 = V809643. assign V555947 = V819663. assign V215737 = V197859 + 1. assign V281953 = V514576 - 1. assign V513812 = V780600 + 1. assign V405217 = V212662 - 1. assign V004467 = V156573 - 1. assign V196468 = V604845 + 1. assign V205179 = V397071 + 1. assign V373165 = V968756. assign V521509 = V940419 + 1. assign V608458 = V276306 + 1. assign V520654 = V979849 + 1. assign V180240 = V276306 - 1. assign V212662 = V809643 + 1. assign V110981 = V294843 + 1. assign V642401 = V555947 + 1. assign V838012 = V197524. assign V338904 = V819448. assign V672266 = V674203. assign V021568 = V545423 - 1. assign V304198 = V254000 - 1. assign V311206 = V967220. assign V689519 = V640583 + 1. assign V352149 = V721602 - 1. assign V716483 = V293206 - 1. assign V151692 = V837511 - 1. assign V819663 = V135071 + 1. assign V350683 = V809643. assign V809180 = V198389 - 1. assign V545423 = V156573. assign V891130 = V294843. assign V819448 = V706576. assign V577069 = V716483 + 1. assign V116282 = V212662 - 1. assign V228894 = V634534. assign V829884 = V865678. assign V462841 = V021568 + 1. assign V721602 = V042298 + 1. assign V316303 = V175610 + 1. assign V407405 = V341514 - 1. assign V125820 = V514576 - 1. assign V671593 = V212662. assign V674203 = V197524 - 1. assign V412351 = V819448. assign V358515 = V110981 + 1. assign V798069 = V757054 - 1. assign V656616 = V280981 + 1. assign V241278 = V529028 - 1. assign V110079 = V604845 + 1. assign V465304 = V533603 - 1. assign V436167 = V681786. assign V395601 = V341514 + 1. assign V757054 = V254000. assign V254000 = V373165. assign V025115 = V407405 + 1. assign V146863 = V967220 - 1. assign V664362 = V205156 - 1. assign V567374 = V081082 - 1. assign V529028 = V135071 - 1. assign V929337 = 9. assign V768792 = V577069. assign V836936 = V968756. assign V075697 = V175610 - 1. assign V553933 = V266281 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV929337 = 9;\n\nFrom these direct assignment(s), we have: \nV213418 = V929337 = 9;\nNo other variables can be derived from V213418;\nNo other variables can be derived from V929337;\n\nNow we have done all the calculations. Derived variables are:\nV929337 = 9;\nV213418 = 9;\n\nNow we have finished this problem. ANSWER:\nV929337, V213418\n", "role": "assistant" } ]

[ "V723568" ]

[ { "content": "<context>\nassign V110080 = V537231 + 1. assign V271113 = V014406 + 1. assign V227579 = V546805 - 1. assign V934347 = V768113. assign V866946 = V401595 - 1. assign V040233 = V588491 - 1. assign V864576 = V463905. assign V357710 = V443038 + 1. assign V999989 = V137913 + 1. assign V486045 = V103343. assign V986424 = V021155 - 1. assign V671133 = V635006 + 1. assign V326065 = V486914. assign V095367 = V072445. assign V241791 = V721705 - 1. assign V184720 = V177874. assign V906411 = V396090 + 1. assign V635006 = V657687 + 1. assign V919326 = V044041 - 1. assign V829366 = V866946 + 1. assign V338072 = V177874. assign V906670 = V486914 + 1. assign V482927 = V671133 - 1. assign V007912 = V864025 + 1. assign V723568 = V835014 + 1. assign V375753 = V070092 - 1. assign V783461 = V241791. assign V435524 = V934347 + 1. assign V027713 = V643203. assign V581710 = V524066 + 1. assign V524066 = V341955 - 1. assign V783924 = V361416. assign V019353 = V486914 - 1. assign V654511 = V836447. assign V223758 = V546805 + 1. assign V453746 = V846997 + 1. assign V768113 = V729228. assign V731795 = V730161. assign V546805 = V072445 + 1. assign V864025 = V783924 - 1. assign V806330 = V988279 - 1. assign V443323 = V922932 + 1. assign V016393 = V654511 + 1. assign V716777 = V846997. assign V922932 = V435524 - 1. assign V537231 = V783924 - 1. assign V588491 = V758965 + 1. assign V387762 = V754755. assign V812553 = V546805 - 1. assign V754755 = V836447. assign V116917 = V351901 + 1. assign V237021 = V241791 - 1. assign V463905 = V341955 - 1. assign V651588 = V671133. assign V758965 = V351901 + 1. assign V846997 = V341955 + 1. assign V626440 = V635006. assign V614246 = V453746 - 1. assign V466954 = V237021 - 1. assign V878862 = V177874 - 1. assign V368880 = V072445 - 1. assign V401828 = V660049 - 1. assign V450937 = V070092 - 1. assign V847916 = V716777 + 1. assign V066631 = V885424 + 1. assign V991953 = V295114 + 1. assign V403208 = V357710 - 1. assign V835014 = 4. assign V553646 = V055417. assign V963507 = V135473 + 1. assign V096497 = V758965 + 1. assign V555589 = V016393. assign V644442 = V128469. assign V055417 = V546805. assign V612416 = V351901 + 1. assign V226038 = V555589 + 1. assign V725645 = V555589 + 1. assign V724179 = V351901 + 1. assign V821728 = V095367 + 1. assign V442568 = V751793 - 1. assign V290117 = V368880 + 1. assign V358858 = V443038 + 1. assign V401595 = V836447 - 1. assign V454753 = V014406 - 1. assign V988279 = V396090. assign V729228 = V116917. assign V983840 = V730161 + 1. assign V273313 = V095367 - 1. assign V237410 = V983840 - 1. assign V070092 = V396090 - 1. assign V461698 = V019353 - 1. assign V805716 = V361416 + 1. assign V981592 = V184720 - 1. assign V978997 = V574330 + 1. assign V424726 = V546805 + 1. assign V885424 = V864025 - 1. assign V643203 = V578526. assign V486914 = V657687 - 1. assign V469175 = V568189 - 1. assign V394684 = V279130 + 1. assign V138923 = V472974. assign V443038 = V898538 + 1. assign V361416 = V836447 + 1. assign V307022 = V930814 + 1. assign V738645 = V712268 - 1. assign V269833 = V644442. assign V034467 = V368880 + 1. assign V739199 = V014406. assign V918999 = V916132 + 1. assign V819719 = V751793. assign V281780 = V463905 - 1. assign V379368 = V034467 + 1. assign V836447 = V072445 - 1. assign V021155 = V730161 + 1. assign V372046 = V738645. assign V577934 = V524066 + 1. assign V755820 = V116917 + 1. assign V238598 = V055417. assign V053060 = V934347 - 1. assign V279130 = V387762. assign V299665 = V137913 - 1. assign V654245 = V768113 - 1. assign V551309 = V568189 + 1. assign V044813 = V103343 - 1. assign V751793 = V999989 + 1. assign V712268 = V387762. assign V148231 = V368880 - 1. assign V632474 = V983840. assign V482329 = V443038. assign V341955 = V635006 - 1. assign V667437 = V783461. assign V396090 = V055417. assign V023856 = V550283 + 1. assign V721705 = V401595. assign V550283 = V934347 - 1. assign V646040 = V241791. assign V909665 = V546805 - 1. assign V487084 = V578526 - 1. assign V916132 = V721705. assign V921391 = V768113 + 1. assign V836016 = V357710 - 1. assign V472974 = V394684 - 1. assign V268919 = V096497 - 1. assign V128469 = V578526 + 1. assign V351901 = V072445 + 1. assign V730161 = V368880. assign V484028 = V712268 - 1. assign V568189 = V721705 + 1. assign V101182 = V055417 - 1. assign V815641 = V295114 + 1. assign V001779 = V730161 + 1. assign V044041 = V281780. assign V656299 = V612416 - 1. assign V514513 = V211581 + 1. assign V211581 = V138923. assign V028474 = V238598 + 1. assign V574330 = V299665 - 1. assign V374795 = V614246 - 1. assign V856606 = V588491 + 1. assign V935852 = V177874 - 1. assign V660049 = V906411 + 1. assign V578526 = V906411 + 1. assign V014406 = V657687 - 1. assign V177874 = V443038 + 1. assign V137913 = V361416 + 1. assign V930814 = V072445 - 1. assign V278779 = V730161. assign V898538 = V361416 + 1. assign V135473 = V626440 + 1. assign V295114 = V768113 + 1. assign V657687 = V361416 + 1. assign V103343 = V730161 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V110080 = V537231 + 1. assign V271113 = V014406 + 1. assign V227579 = V546805 - 1. assign V934347 = V768113. assign V866946 = V401595 - 1. assign V040233 = V588491 - 1. assign V864576 = V463905. assign V357710 = V443038 + 1. assign V999989 = V137913 + 1. assign V486045 = V103343. assign V986424 = V021155 - 1. assign V671133 = V635006 + 1. assign V326065 = V486914. assign V095367 = V072445. assign V241791 = V721705 - 1. assign V184720 = V177874. assign V906411 = V396090 + 1. assign V635006 = V657687 + 1. assign V919326 = V044041 - 1. assign V829366 = V866946 + 1. assign V338072 = V177874. assign V906670 = V486914 + 1. assign V482927 = V671133 - 1. assign V007912 = V864025 + 1. assign V723568 = V835014 + 1. assign V375753 = V070092 - 1. assign V783461 = V241791. assign V435524 = V934347 + 1. assign V027713 = V643203. assign V581710 = V524066 + 1. assign V524066 = V341955 - 1. assign V783924 = V361416. assign V019353 = V486914 - 1. assign V654511 = V836447. assign V223758 = V546805 + 1. assign V453746 = V846997 + 1. assign V768113 = V729228. assign V731795 = V730161. assign V546805 = V072445 + 1. assign V864025 = V783924 - 1. assign V806330 = V988279 - 1. assign V443323 = V922932 + 1. assign V016393 = V654511 + 1. assign V716777 = V846997. assign V922932 = V435524 - 1. assign V537231 = V783924 - 1. assign V588491 = V758965 + 1. assign V387762 = V754755. assign V812553 = V546805 - 1. assign V754755 = V836447. assign V116917 = V351901 + 1. assign V237021 = V241791 - 1. assign V463905 = V341955 - 1. assign V651588 = V671133. assign V758965 = V351901 + 1. assign V846997 = V341955 + 1. assign V626440 = V635006. assign V614246 = V453746 - 1. assign V466954 = V237021 - 1. assign V878862 = V177874 - 1. assign V368880 = V072445 - 1. assign V401828 = V660049 - 1. assign V450937 = V070092 - 1. assign V847916 = V716777 + 1. assign V066631 = V885424 + 1. assign V991953 = V295114 + 1. assign V403208 = V357710 - 1. assign V835014 = 4. assign V553646 = V055417. assign V963507 = V135473 + 1. assign V096497 = V758965 + 1. assign V555589 = V016393. assign V644442 = V128469. assign V055417 = V546805. assign V612416 = V351901 + 1. assign V226038 = V555589 + 1. assign V725645 = V555589 + 1. assign V724179 = V351901 + 1. assign V821728 = V095367 + 1. assign V442568 = V751793 - 1. assign V290117 = V368880 + 1. assign V358858 = V443038 + 1. assign V401595 = V836447 - 1. assign V454753 = V014406 - 1. assign V988279 = V396090. assign V729228 = V116917. assign V983840 = V730161 + 1. assign V273313 = V095367 - 1. assign V237410 = V983840 - 1. assign V070092 = V396090 - 1. assign V461698 = V019353 - 1. assign V805716 = V361416 + 1. assign V981592 = V184720 - 1. assign V978997 = V574330 + 1. assign V424726 = V546805 + 1. assign V885424 = V864025 - 1. assign V643203 = V578526. assign V486914 = V657687 - 1. assign V469175 = V568189 - 1. assign V394684 = V279130 + 1. assign V138923 = V472974. assign V443038 = V898538 + 1. assign V361416 = V836447 + 1. assign V307022 = V930814 + 1. assign V738645 = V712268 - 1. assign V269833 = V644442. assign V034467 = V368880 + 1. assign V739199 = V014406. assign V918999 = V916132 + 1. assign V819719 = V751793. assign V281780 = V463905 - 1. assign V379368 = V034467 + 1. assign V836447 = V072445 - 1. assign V021155 = V730161 + 1. assign V372046 = V738645. assign V577934 = V524066 + 1. assign V755820 = V116917 + 1. assign V238598 = V055417. assign V053060 = V934347 - 1. assign V279130 = V387762. assign V299665 = V137913 - 1. assign V654245 = V768113 - 1. assign V551309 = V568189 + 1. assign V044813 = V103343 - 1. assign V751793 = V999989 + 1. assign V712268 = V387762. assign V148231 = V368880 - 1. assign V632474 = V983840. assign V482329 = V443038. assign V341955 = V635006 - 1. assign V667437 = V783461. assign V396090 = V055417. assign V023856 = V550283 + 1. assign V721705 = V401595. assign V550283 = V934347 - 1. assign V646040 = V241791. assign V909665 = V546805 - 1. assign V487084 = V578526 - 1. assign V916132 = V721705. assign V921391 = V768113 + 1. assign V836016 = V357710 - 1. assign V472974 = V394684 - 1. assign V268919 = V096497 - 1. assign V128469 = V578526 + 1. assign V351901 = V072445 + 1. assign V730161 = V368880. assign V484028 = V712268 - 1. assign V568189 = V721705 + 1. assign V101182 = V055417 - 1. assign V815641 = V295114 + 1. assign V001779 = V730161 + 1. assign V044041 = V281780. assign V656299 = V612416 - 1. assign V514513 = V211581 + 1. assign V211581 = V138923. assign V028474 = V238598 + 1. assign V574330 = V299665 - 1. assign V374795 = V614246 - 1. assign V856606 = V588491 + 1. assign V935852 = V177874 - 1. assign V660049 = V906411 + 1. assign V578526 = V906411 + 1. assign V014406 = V657687 - 1. assign V177874 = V443038 + 1. assign V137913 = V361416 + 1. assign V930814 = V072445 - 1. assign V278779 = V730161. assign V898538 = V361416 + 1. assign V135473 = V626440 + 1. assign V295114 = V768113 + 1. assign V657687 = V361416 + 1. assign V103343 = V730161 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV835014 = 4;\n\nFrom these direct assignment(s), we have: \nV723568 = V835014 + 1 = 4 + 1 =5;\nNo other variables can be derived from V723568;\nNo other variables can be derived from V835014;\n\nNow we have done all the calculations. Derived variables are:\nV835014 = 4;\nV723568 = 5;\n\nNow we have finished this problem. ANSWER:\nV723568\n", "role": "assistant" } ]

[ "V884895" ]

[ { "content": "<context>\nassign V326539 = V450453. assign V886367 = V127571. assign V643111 = V263552 - 1. assign V051978 = V886937 + 1. assign V581655 = V590345 + 1. assign V494679 = V230274 + 1. assign V868406 = V887018. assign V992623 = V807393. assign V741667 = V513289 - 1. assign V962311 = V113919 + 1. assign V320763 = V387571 + 1. assign V752846 = V916788 - 1. assign V047576 = V162674 + 1. assign V064693 = V945377 + 1. assign V075018 = V473350 - 1. assign V331152 = V527483 - 1. assign V474705 = V048972. assign V759601 = V492557 + 1. assign V385239 = V266799 + 1. assign V063458 = V062757 + 1. assign V278054 = V531681 + 1. assign V555314 = V560988. assign V528274 = V119095. assign V515330 = V458526. assign V253666 = V027405. assign V639659 = V720927. assign V633362 = V590345 + 1. assign V990654 = V285538. assign V062757 = V886937 - 1. assign V230274 = V887018 - 1. assign V119095 = V633362. assign V841328 = V971039 + 1. assign V535758 = V601951 + 1. assign V483739 = V887018. assign V325301 = V162674 + 1. assign V808912 = V331423. assign V127571 = V427630 + 1. assign V785343 = V635326 - 1. assign V560988 = V331423. assign V590345 = V331423. assign V635326 = V169266. assign V113919 = V091571. assign V162674 = V513289. assign V766586 = V173523 - 1. assign V500972 = V372729 - 1. assign V807280 = V887018 + 1. assign V155492 = V807393 + 1. assign V173523 = V385879. assign V671857 = V111976 + 1. assign V945377 = V894916. assign V716955 = V951341 + 1. assign V492557 = V886937. assign V626745 = V808912 - 1. assign V886937 = V027405. assign V009996 = V971887. assign V019197 = V894916. assign V285538 = V894916. assign V187448 = V771073 - 1. assign V630581 = V650107 + 1. assign V266799 = V792280 - 1. assign V854523 = V169266 + 1. assign V601951 = V894916. assign V191185 = V119095 + 1. assign V768558 = V481297 - 1. assign V712355 = V531681 - 1. assign V575996 = V528274 - 1. assign V078645 = V051978 - 1. assign V513289 = V792280 - 1. assign V314513 = V265050 + 1. assign V213326 = V886937 - 1. assign V986903 = V650107 - 1. assign V650107 = V971039 - 1. assign V910655 = V987783 + 1. assign V839375 = V051978 + 1. assign V233565 = V601951 + 1. assign V734502 = V047376 - 1. assign V853977 = V711706. assign V027405 = V894916 - 1. assign V111976 = V886937. assign V372729 = V771073 - 1. assign V385879 = V916788. assign V844469 = V176966 - 1. assign V473350 = V047576 - 1. assign V176966 = V633362. assign V691475 = V191185 - 1. assign V807393 = V854523 - 1. assign V971887 = V601951. assign V894803 = V474705. assign V720927 = V199309 - 1. assign V407724 = V868406 - 1. assign V602241 = V781053 - 1. assign V162959 = V051978 - 1. assign V713428 = V964730 + 1. assign V760636 = V265789 - 1. assign V697245 = V265050. assign V046944 = V325301 - 1. assign V091571 = V332592 + 1. assign V676247 = V854523 + 1. assign V758421 = V945377 + 1. assign V209987 = V051978 + 1. assign V887018 = V332592. assign V884895 = V268022 - 1. assign V400656 = V792280 + 1. assign V215258 = V602241 + 1. assign V894916 = V169266 + 1. assign V225418 = V265050 - 1. assign V824494 = V785343. assign V916788 = V887018 - 1. assign V531681 = V987783 + 1. assign V187465 = V752846. assign V894007 = V154064 - 1. assign V527483 = V207364 + 1. assign V711706 = V839375 + 1. assign V898861 = V062757. assign V331423 = V886937. assign V947101 = V759601 + 1. assign V200928 = V265050 + 1. assign V792280 = V945377 + 1. assign V337999 = V407724 - 1. assign V822751 = V265789. assign V047376 = V894916. assign V971039 = V531681. assign V064226 = V806909 - 1. assign V179992 = V759601. assign V951341 = V636266 - 1. assign V967501 = V987783 - 1. assign V378231 = V886367. assign V625915 = V091571 + 1. assign V268022 = 8. assign V332592 = V169266. assign V711845 = V265789. assign V387571 = V625915 - 1. assign V699958 = V633362. assign V741767 = V162674 + 1. assign V238999 = V027405 - 1. assign V427630 = V625915. assign V434275 = V807393. assign V964730 = V027405 - 1. assign V021976 = V400656 + 1. assign V853286 = V992623 + 1. assign V207364 = V253666 - 1. assign V771073 = V458526. assign V265789 = V019197 - 1. assign V483801 = V213326 + 1. assign V985148 = V492557. assign V389253 = V992623 - 1. assign V321577 = V887018 - 1. assign V228190 = V263552 - 1. assign V950943 = V379624 - 1. assign V775919 = V808912. assign V244898 = V091571 - 1. assign V154064 = V238999 + 1. assign V987783 = V332592. assign V227241 = V331423. assign V379624 = V531681 + 1. assign V918808 = V947101. assign V263552 = V091571 + 1. assign V458526 = V332592 - 1. assign V481297 = V699958. assign V360779 = V427630. assign V806909 = V047376 - 1. assign V450453 = V091571. assign V371962 = V227241 - 1. assign V267083 = V483801. assign V636266 = V048972 - 1. assign V265050 = V387571. assign V941672 = V278054 + 1. assign V048972 = V711706 + 1. assign V656757 = V225418 - 1. assign V199309 = V771073 - 1. assign V781053 = V372729. assign V647435 = V091571 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V326539 = V450453. assign V886367 = V127571. assign V643111 = V263552 - 1. assign V051978 = V886937 + 1. assign V581655 = V590345 + 1. assign V494679 = V230274 + 1. assign V868406 = V887018. assign V992623 = V807393. assign V741667 = V513289 - 1. assign V962311 = V113919 + 1. assign V320763 = V387571 + 1. assign V752846 = V916788 - 1. assign V047576 = V162674 + 1. assign V064693 = V945377 + 1. assign V075018 = V473350 - 1. assign V331152 = V527483 - 1. assign V474705 = V048972. assign V759601 = V492557 + 1. assign V385239 = V266799 + 1. assign V063458 = V062757 + 1. assign V278054 = V531681 + 1. assign V555314 = V560988. assign V528274 = V119095. assign V515330 = V458526. assign V253666 = V027405. assign V639659 = V720927. assign V633362 = V590345 + 1. assign V990654 = V285538. assign V062757 = V886937 - 1. assign V230274 = V887018 - 1. assign V119095 = V633362. assign V841328 = V971039 + 1. assign V535758 = V601951 + 1. assign V483739 = V887018. assign V325301 = V162674 + 1. assign V808912 = V331423. assign V127571 = V427630 + 1. assign V785343 = V635326 - 1. assign V560988 = V331423. assign V590345 = V331423. assign V635326 = V169266. assign V113919 = V091571. assign V162674 = V513289. assign V766586 = V173523 - 1. assign V500972 = V372729 - 1. assign V807280 = V887018 + 1. assign V155492 = V807393 + 1. assign V173523 = V385879. assign V671857 = V111976 + 1. assign V945377 = V894916. assign V716955 = V951341 + 1. assign V492557 = V886937. assign V626745 = V808912 - 1. assign V886937 = V027405. assign V009996 = V971887. assign V019197 = V894916. assign V285538 = V894916. assign V187448 = V771073 - 1. assign V630581 = V650107 + 1. assign V266799 = V792280 - 1. assign V854523 = V169266 + 1. assign V601951 = V894916. assign V191185 = V119095 + 1. assign V768558 = V481297 - 1. assign V712355 = V531681 - 1. assign V575996 = V528274 - 1. assign V078645 = V051978 - 1. assign V513289 = V792280 - 1. assign V314513 = V265050 + 1. assign V213326 = V886937 - 1. assign V986903 = V650107 - 1. assign V650107 = V971039 - 1. assign V910655 = V987783 + 1. assign V839375 = V051978 + 1. assign V233565 = V601951 + 1. assign V734502 = V047376 - 1. assign V853977 = V711706. assign V027405 = V894916 - 1. assign V111976 = V886937. assign V372729 = V771073 - 1. assign V385879 = V916788. assign V844469 = V176966 - 1. assign V473350 = V047576 - 1. assign V176966 = V633362. assign V691475 = V191185 - 1. assign V807393 = V854523 - 1. assign V971887 = V601951. assign V894803 = V474705. assign V720927 = V199309 - 1. assign V407724 = V868406 - 1. assign V602241 = V781053 - 1. assign V162959 = V051978 - 1. assign V713428 = V964730 + 1. assign V760636 = V265789 - 1. assign V697245 = V265050. assign V046944 = V325301 - 1. assign V091571 = V332592 + 1. assign V676247 = V854523 + 1. assign V758421 = V945377 + 1. assign V209987 = V051978 + 1. assign V887018 = V332592. assign V884895 = V268022 - 1. assign V400656 = V792280 + 1. assign V215258 = V602241 + 1. assign V894916 = V169266 + 1. assign V225418 = V265050 - 1. assign V824494 = V785343. assign V916788 = V887018 - 1. assign V531681 = V987783 + 1. assign V187465 = V752846. assign V894007 = V154064 - 1. assign V527483 = V207364 + 1. assign V711706 = V839375 + 1. assign V898861 = V062757. assign V331423 = V886937. assign V947101 = V759601 + 1. assign V200928 = V265050 + 1. assign V792280 = V945377 + 1. assign V337999 = V407724 - 1. assign V822751 = V265789. assign V047376 = V894916. assign V971039 = V531681. assign V064226 = V806909 - 1. assign V179992 = V759601. assign V951341 = V636266 - 1. assign V967501 = V987783 - 1. assign V378231 = V886367. assign V625915 = V091571 + 1. assign V268022 = 8. assign V332592 = V169266. assign V711845 = V265789. assign V387571 = V625915 - 1. assign V699958 = V633362. assign V741767 = V162674 + 1. assign V238999 = V027405 - 1. assign V427630 = V625915. assign V434275 = V807393. assign V964730 = V027405 - 1. assign V021976 = V400656 + 1. assign V853286 = V992623 + 1. assign V207364 = V253666 - 1. assign V771073 = V458526. assign V265789 = V019197 - 1. assign V483801 = V213326 + 1. assign V985148 = V492557. assign V389253 = V992623 - 1. assign V321577 = V887018 - 1. assign V228190 = V263552 - 1. assign V950943 = V379624 - 1. assign V775919 = V808912. assign V244898 = V091571 - 1. assign V154064 = V238999 + 1. assign V987783 = V332592. assign V227241 = V331423. assign V379624 = V531681 + 1. assign V918808 = V947101. assign V263552 = V091571 + 1. assign V458526 = V332592 - 1. assign V481297 = V699958. assign V360779 = V427630. assign V806909 = V047376 - 1. assign V450453 = V091571. assign V371962 = V227241 - 1. assign V267083 = V483801. assign V636266 = V048972 - 1. assign V265050 = V387571. assign V941672 = V278054 + 1. assign V048972 = V711706 + 1. assign V656757 = V225418 - 1. assign V199309 = V771073 - 1. assign V781053 = V372729. assign V647435 = V091571 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV268022 = 8;\n\nFrom these direct assignment(s), we have: \nV884895 = V268022 - 1 = 8 - 1 =7;\nNo other variables can be derived from V884895;\nNo other variables can be derived from V268022;\n\nNow we have done all the calculations. Derived variables are:\nV268022 = 8;\nV884895 = 7;\n\nNow we have finished this problem. ANSWER:\nV884895\n", "role": "assistant" } ]

[ "V078463" ]

[ { "content": "<context>\nassign V508628 = V973166 + 1. assign V314432 = V128879 + 1. assign V023041 = V990145 + 1. assign V191581 = V976830 + 1. assign V195956 = V952197 - 1. assign V322341 = V600787 + 1. assign V121086 = V245636 - 1. assign V219001 = V964808. assign V760020 = V044798 - 1. assign V385928 = V457355 + 1. assign V006225 = V990145 - 1. assign V780541 = V204460 - 1. assign V502545 = V696637 + 1. assign V060513 = V697827. assign V730855 = V680132 - 1. assign V447973 = V578259 - 1. assign V745320 = V356181 - 1. assign V367861 = V578259 - 1. assign V932231 = V555251 - 1. assign V863161 = V537847 - 1. assign V451624 = V537847 - 1. assign V068283 = V447973. assign V044798 = V435688. assign V100869 = V285586 - 1. assign V781548 = V793773. assign V600515 = V195956 + 1. assign V486956 = V908238. assign V524994 = V680132 + 1. assign V552705 = V199199 - 1. assign V827325 = V600787 + 1. assign V367503 = V497193 + 1. assign V266103 = V908238 + 1. assign V016705 = V245636. assign V130857 = V555251 + 1. assign V435688 = V643038 + 1. assign V850930 = V853796. assign V077568 = V697827 + 1. assign V952197 = V036713 + 1. assign V784369 = V245636 - 1. assign V526152 = V100869 + 1. assign V204460 = V863161 + 1. assign V158950 = V853796 + 1. assign V128879 = V952197 + 1. assign V793773 = V128879 - 1. assign V162061 = V960059 - 1. assign V285586 = V952197 + 1. assign V260080 = V040451 - 1. assign V062813 = V973166. assign V435897 = V603060 + 1. assign V123672 = V555251. assign V497193 = V385928 + 1. assign V736158 = V040451 + 1. assign V457355 = V036713 + 1. assign V851480 = V793872 + 1. assign V922351 = V620012. assign V853796 = V503408 - 1. assign V779298 = V191581 - 1. assign V306013 = V451624 - 1. assign V680132 = V469328. assign V295498 = V038244. assign V960059 = V996270 - 1. assign V040451 = V435688 + 1. assign V849092 = V435688. assign V262052 = V016705. assign V800469 = V883254. assign V955602 = V280032 + 1. assign V996270 = V128879 - 1. assign V117088 = V128879. assign V785234 = V367503. assign V994762 = V883254. assign V603060 = V314432 - 1. assign V226368 = V121086 - 1. assign V976830 = V603060 - 1. assign V973166 = V996270. assign V245636 = V385928. assign V212032 = V863161. assign V616479 = V340065. assign V215994 = V827325 + 1. assign V857382 = V224388 + 1. assign V669982 = V781548 + 1. assign V821336 = V730855. assign V790435 = V128879 - 1. assign V152183 = V793773 + 1. assign V163617 = V697827 - 1. assign V036713 = V895154 + 1. assign V620012 = V952197 - 1. assign V123316 = V863161 - 1. assign V356084 = V322341 - 1. assign V736535 = V451624 + 1. assign V482874 = V222032 + 1. assign V081171 = V883254. assign V420288 = V444503 - 1. assign V606811 = V990145. assign V751280 = V279626. assign V685220 = V960059 - 1. assign V885738 = V435688 + 1. assign V444503 = V736535 - 1. assign V846218 = V163617. assign V223748 = V100869 - 1. assign V689521 = V696637 + 1. assign V551011 = V820980 - 1. assign V862934 = V976830 + 1. assign V279626 = V117088 - 1. assign V994826 = V885738 - 1. assign V851815 = V689521 - 1. assign V042265 = V883254 + 1. assign V552644 = V322341 - 1. assign V503408 = V696637 - 1. assign V353372 = V976830 + 1. assign V555251 = V603060. assign V188230 = V793773 + 1. assign V222032 = V163617. assign V125662 = V537847. assign V356181 = V245636 + 1. assign V612183 = V191581 - 1. assign V575394 = V692577. assign V756182 = V199199 + 1. assign V550553 = V883254 + 1. assign V841994 = V800469 - 1. assign V820980 = V322341. assign V692577 = V745320 - 1. assign V610010 = V044798 + 1. assign V078463 = 5. assign V203917 = V469328 - 1. assign V296331 = V600787. assign V466090 = V600787 - 1. assign V351656 = V973166 + 1. assign V118548 = V199199 + 1. assign V066112 = V100869. assign V696637 = V895154 - 1. assign V469328 = V883254 + 1. assign V496718 = V152183. assign V911508 = V952197 + 1. assign V793872 = V457355 - 1. assign V224388 = V800469. assign V600787 = V994762. assign V459726 = V435688. assign V424042 = V895154 - 1. assign V658569 = V191581 - 1. assign V964808 = V066112 + 1. assign V336262 = V451624 + 1. assign V517167 = V800469. assign V281384 = V128879 + 1. assign V211936 = V669982 + 1. assign V578259 = V036713 + 1. assign V908238 = V952197. assign V007148 = V266103 + 1. assign V340065 = V853796 - 1. assign V038244 = V158950. assign V990145 = V851815 - 1. assign V697827 = V125662 - 1. assign V280032 = V356181. assign V643038 = V612618. assign V199199 = V689521. assign V115438 = V686869. assign V686869 = V306013. assign V910392 = V686869 + 1. assign V883254 = V100869 + 1. assign V181790 = V952197 + 1. assign V741369 = V023041. assign V027436 = V285586 + 1. assign V598207 = V730855 + 1. assign V413701 = V435688 + 1. assign V853571 = V385928. assign V617090 = V908238 - 1. assign V250898 = V552705 - 1. assign V612618 = V121086 + 1. assign V135240 = V745320. assign V537847 = V696637 - 1. assign V201764 = V038244 + 1. assign V519104 = V444503 - 1. assign V093605 = V078463 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V508628 = V973166 + 1. assign V314432 = V128879 + 1. assign V023041 = V990145 + 1. assign V191581 = V976830 + 1. assign V195956 = V952197 - 1. assign V322341 = V600787 + 1. assign V121086 = V245636 - 1. assign V219001 = V964808. assign V760020 = V044798 - 1. assign V385928 = V457355 + 1. assign V006225 = V990145 - 1. assign V780541 = V204460 - 1. assign V502545 = V696637 + 1. assign V060513 = V697827. assign V730855 = V680132 - 1. assign V447973 = V578259 - 1. assign V745320 = V356181 - 1. assign V367861 = V578259 - 1. assign V932231 = V555251 - 1. assign V863161 = V537847 - 1. assign V451624 = V537847 - 1. assign V068283 = V447973. assign V044798 = V435688. assign V100869 = V285586 - 1. assign V781548 = V793773. assign V600515 = V195956 + 1. assign V486956 = V908238. assign V524994 = V680132 + 1. assign V552705 = V199199 - 1. assign V827325 = V600787 + 1. assign V367503 = V497193 + 1. assign V266103 = V908238 + 1. assign V016705 = V245636. assign V130857 = V555251 + 1. assign V435688 = V643038 + 1. assign V850930 = V853796. assign V077568 = V697827 + 1. assign V952197 = V036713 + 1. assign V784369 = V245636 - 1. assign V526152 = V100869 + 1. assign V204460 = V863161 + 1. assign V158950 = V853796 + 1. assign V128879 = V952197 + 1. assign V793773 = V128879 - 1. assign V162061 = V960059 - 1. assign V285586 = V952197 + 1. assign V260080 = V040451 - 1. assign V062813 = V973166. assign V435897 = V603060 + 1. assign V123672 = V555251. assign V497193 = V385928 + 1. assign V736158 = V040451 + 1. assign V457355 = V036713 + 1. assign V851480 = V793872 + 1. assign V922351 = V620012. assign V853796 = V503408 - 1. assign V779298 = V191581 - 1. assign V306013 = V451624 - 1. assign V680132 = V469328. assign V295498 = V038244. assign V960059 = V996270 - 1. assign V040451 = V435688 + 1. assign V849092 = V435688. assign V262052 = V016705. assign V800469 = V883254. assign V955602 = V280032 + 1. assign V996270 = V128879 - 1. assign V117088 = V128879. assign V785234 = V367503. assign V994762 = V883254. assign V603060 = V314432 - 1. assign V226368 = V121086 - 1. assign V976830 = V603060 - 1. assign V973166 = V996270. assign V245636 = V385928. assign V212032 = V863161. assign V616479 = V340065. assign V215994 = V827325 + 1. assign V857382 = V224388 + 1. assign V669982 = V781548 + 1. assign V821336 = V730855. assign V790435 = V128879 - 1. assign V152183 = V793773 + 1. assign V163617 = V697827 - 1. assign V036713 = V895154 + 1. assign V620012 = V952197 - 1. assign V123316 = V863161 - 1. assign V356084 = V322341 - 1. assign V736535 = V451624 + 1. assign V482874 = V222032 + 1. assign V081171 = V883254. assign V420288 = V444503 - 1. assign V606811 = V990145. assign V751280 = V279626. assign V685220 = V960059 - 1. assign V885738 = V435688 + 1. assign V444503 = V736535 - 1. assign V846218 = V163617. assign V223748 = V100869 - 1. assign V689521 = V696637 + 1. assign V551011 = V820980 - 1. assign V862934 = V976830 + 1. assign V279626 = V117088 - 1. assign V994826 = V885738 - 1. assign V851815 = V689521 - 1. assign V042265 = V883254 + 1. assign V552644 = V322341 - 1. assign V503408 = V696637 - 1. assign V353372 = V976830 + 1. assign V555251 = V603060. assign V188230 = V793773 + 1. assign V222032 = V163617. assign V125662 = V537847. assign V356181 = V245636 + 1. assign V612183 = V191581 - 1. assign V575394 = V692577. assign V756182 = V199199 + 1. assign V550553 = V883254 + 1. assign V841994 = V800469 - 1. assign V820980 = V322341. assign V692577 = V745320 - 1. assign V610010 = V044798 + 1. assign V078463 = 5. assign V203917 = V469328 - 1. assign V296331 = V600787. assign V466090 = V600787 - 1. assign V351656 = V973166 + 1. assign V118548 = V199199 + 1. assign V066112 = V100869. assign V696637 = V895154 - 1. assign V469328 = V883254 + 1. assign V496718 = V152183. assign V911508 = V952197 + 1. assign V793872 = V457355 - 1. assign V224388 = V800469. assign V600787 = V994762. assign V459726 = V435688. assign V424042 = V895154 - 1. assign V658569 = V191581 - 1. assign V964808 = V066112 + 1. assign V336262 = V451624 + 1. assign V517167 = V800469. assign V281384 = V128879 + 1. assign V211936 = V669982 + 1. assign V578259 = V036713 + 1. assign V908238 = V952197. assign V007148 = V266103 + 1. assign V340065 = V853796 - 1. assign V038244 = V158950. assign V990145 = V851815 - 1. assign V697827 = V125662 - 1. assign V280032 = V356181. assign V643038 = V612618. assign V199199 = V689521. assign V115438 = V686869. assign V686869 = V306013. assign V910392 = V686869 + 1. assign V883254 = V100869 + 1. assign V181790 = V952197 + 1. assign V741369 = V023041. assign V027436 = V285586 + 1. assign V598207 = V730855 + 1. assign V413701 = V435688 + 1. assign V853571 = V385928. assign V617090 = V908238 - 1. assign V250898 = V552705 - 1. assign V612618 = V121086 + 1. assign V135240 = V745320. assign V537847 = V696637 - 1. assign V201764 = V038244 + 1. assign V519104 = V444503 - 1. assign V093605 = V078463 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV078463 = 5;\n\nFrom these direct assignment(s), we have: \nV093605 = V078463 - 1 = 5 - 1 =4;\nNo other variables can be derived from V093605;\nNo other variables can be derived from V078463;\n\nNow we have done all the calculations. Derived variables are:\nV078463 = 5;\nV093605 = 4;\n\nNow we have finished this problem. ANSWER:\nV078463\n", "role": "assistant" } ]

[ "V051432" ]

[ { "content": "<context>\nassign V102513 = V941547 + 1. assign V144606 = V791161. assign V768318 = V832668 + 1. assign V636366 = V443839 + 1. assign V189754 = V601491 - 1. assign V730178 = V448895 + 1. assign V247044 = V979242 - 1. assign V167175 = V041296 + 1. assign V425952 = V669817. assign V442624 = V397340 + 1. assign V826195 = V297662 + 1. assign V787230 = V167175 - 1. assign V396180 = V782250. assign V490653 = V887955. assign V695220 = V420372 - 1. assign V177264 = V255379. assign V797997 = V378400 + 1. assign V337469 = V259370. assign V105227 = V051033 - 1. assign V979527 = V041296 + 1. assign V504039 = V730178. assign V445224 = V041296. assign V331946 = V298767. assign V548587 = V420372 - 1. assign V512879 = V979527 - 1. assign V656475 = V797997 + 1. assign V493535 = V648160 + 1. assign V331369 = V429346. assign V345274 = V832668 - 1. assign V415424 = V055011. assign V218993 = V233717. assign V147074 = V233717 - 1. assign V153600 = V669817 + 1. assign V340252 = V979527 - 1. assign V397340 = V636366 + 1. assign V850081 = V730668 - 1. assign V243440 = V397605. assign V388260 = V445224 + 1. assign V173170 = V233717 - 1. assign V414173 = 5. assign V528251 = V773048. assign V887955 = V377869. assign V259370 = V041296. assign V213300 = V899256 + 1. assign V042656 = V854015 - 1. assign V051432 = V414173 - 1. assign V774846 = V256977. assign V811472 = V504039 - 1. assign V708081 = V297662 + 1. assign V985956 = V139645 + 1. assign V827059 = V791161 - 1. assign V730668 = V041296. assign V941239 = V644479 - 1. assign V833623 = V345274 - 1. assign V240704 = V528251 + 1. assign V161139 = V051033. assign V055011 = V730668 - 1. assign V974924 = V247044 - 1. assign V424385 = V397605 + 1. assign V901042 = V255379. assign V694840 = V850081. assign V235010 = V445224 + 1. assign V800214 = V956095 + 1. assign V183871 = V345274 + 1. assign V601491 = V443839 + 1. assign V298767 = V508366. assign V936725 = V345274 + 1. assign V397605 = V443839. assign V377229 = V850081 - 1. assign V428735 = V875596 + 1. assign V641081 = V832668. assign V492878 = V041296 + 1. assign V843715 = V429800 + 1. assign V630614 = V899256. assign V390394 = V177264 - 1. assign V321744 = V636366 - 1. assign V443839 = V599266. assign V631397 = V430281. assign V965903 = V599266 + 1. assign V791161 = V378400 + 1. assign V207165 = V435211 + 1. assign V857165 = V233717 - 1. assign V979242 = V429800. assign V691800 = V395625. assign V502108 = V218993. assign V618231 = V583099. assign V484476 = V189754 + 1. assign V417613 = V730178 + 1. assign V136290 = V791161 + 1. assign V377869 = V090050. assign V256977 = V555663 - 1. assign V291668 = V207165. assign V937875 = V240704 + 1. assign V477272 = V492878 + 1. assign V011712 = V648160. assign V832668 = V979527 + 1. assign V232338 = V041296 - 1. assign V926090 = V477199. assign V435211 = V477272 + 1. assign V395625 = V765051 - 1. assign V297662 = V791161. assign V063716 = V183871. assign V476054 = V562044 + 1. assign V956095 = V378400. assign V765051 = V854015 + 1. assign V996457 = V240704 + 1. assign V644479 = V669817. assign V020008 = V492878. assign V440767 = V047244 + 1. assign V562044 = V448895 + 1. assign V338287 = V420372. assign V420372 = V965903 + 1. assign V361943 = V417613 + 1. assign V669817 = V429800 - 1. assign V151854 = V420372 - 1. assign V061927 = V850081 - 1. assign V899256 = V730668 - 1. assign V725556 = V504039 - 1. assign V959309 = V895586. assign V648160 = V901042. assign V586622 = V617279. assign V047244 = V895586 - 1. assign V430281 = V429800 - 1. assign V080919 = V167175. assign V392511 = V041296 - 1. assign V084639 = V255379 + 1. assign V875596 = V826195 + 1. assign V895586 = V725556. assign V583797 = V161139 + 1. assign V508366 = V377869. assign V090050 = V797997 - 1. assign V855292 = V435211 - 1. assign V462407 = V644479 - 1. assign V430966 = V189754 + 1. assign V828665 = V941547 + 1. assign V448895 = V445224 + 1. assign V429800 = V392511. assign V943626 = V126745 - 1. assign V583099 = V144606 + 1. assign V727800 = V773048 + 1. assign V051033 = V956095. assign V506422 = V255379 + 1. assign V555663 = V430281. assign V632383 = V599266 + 1. assign V126745 = V183871 - 1. assign V090356 = V397605 + 1. assign V233717 = V599266 + 1. assign V609371 = V429346 + 1. assign V244341 = V512879. assign V954521 = V607073 - 1. assign V599266 = V956095. assign V362001 = V583099 + 1. assign V941547 = V345274 - 1. assign V671140 = V177264. assign V989922 = V727800 + 1. assign V429346 = V126745. assign V649559 = V443839 + 1. assign V378400 = V041296. assign V617279 = V041296 - 1. assign V147391 = V502108. assign V782250 = V979242. assign V817550 = V632383 + 1. assign V081969 = V396180 + 1. assign V477199 = V555663 - 1. assign V509757 = V331946 - 1. assign V891771 = V617279. assign V773048 = V167175 - 1. assign V139645 = V791161. assign V255379 = V041296 + 1. assign V854015 = V773048. assign V607073 = V338287. assign V987736 = V126745.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V102513 = V941547 + 1. assign V144606 = V791161. assign V768318 = V832668 + 1. assign V636366 = V443839 + 1. assign V189754 = V601491 - 1. assign V730178 = V448895 + 1. assign V247044 = V979242 - 1. assign V167175 = V041296 + 1. assign V425952 = V669817. assign V442624 = V397340 + 1. assign V826195 = V297662 + 1. assign V787230 = V167175 - 1. assign V396180 = V782250. assign V490653 = V887955. assign V695220 = V420372 - 1. assign V177264 = V255379. assign V797997 = V378400 + 1. assign V337469 = V259370. assign V105227 = V051033 - 1. assign V979527 = V041296 + 1. assign V504039 = V730178. assign V445224 = V041296. assign V331946 = V298767. assign V548587 = V420372 - 1. assign V512879 = V979527 - 1. assign V656475 = V797997 + 1. assign V493535 = V648160 + 1. assign V331369 = V429346. assign V345274 = V832668 - 1. assign V415424 = V055011. assign V218993 = V233717. assign V147074 = V233717 - 1. assign V153600 = V669817 + 1. assign V340252 = V979527 - 1. assign V397340 = V636366 + 1. assign V850081 = V730668 - 1. assign V243440 = V397605. assign V388260 = V445224 + 1. assign V173170 = V233717 - 1. assign V414173 = 5. assign V528251 = V773048. assign V887955 = V377869. assign V259370 = V041296. assign V213300 = V899256 + 1. assign V042656 = V854015 - 1. assign V051432 = V414173 - 1. assign V774846 = V256977. assign V811472 = V504039 - 1. assign V708081 = V297662 + 1. assign V985956 = V139645 + 1. assign V827059 = V791161 - 1. assign V730668 = V041296. assign V941239 = V644479 - 1. assign V833623 = V345274 - 1. assign V240704 = V528251 + 1. assign V161139 = V051033. assign V055011 = V730668 - 1. assign V974924 = V247044 - 1. assign V424385 = V397605 + 1. assign V901042 = V255379. assign V694840 = V850081. assign V235010 = V445224 + 1. assign V800214 = V956095 + 1. assign V183871 = V345274 + 1. assign V601491 = V443839 + 1. assign V298767 = V508366. assign V936725 = V345274 + 1. assign V397605 = V443839. assign V377229 = V850081 - 1. assign V428735 = V875596 + 1. assign V641081 = V832668. assign V492878 = V041296 + 1. assign V843715 = V429800 + 1. assign V630614 = V899256. assign V390394 = V177264 - 1. assign V321744 = V636366 - 1. assign V443839 = V599266. assign V631397 = V430281. assign V965903 = V599266 + 1. assign V791161 = V378400 + 1. assign V207165 = V435211 + 1. assign V857165 = V233717 - 1. assign V979242 = V429800. assign V691800 = V395625. assign V502108 = V218993. assign V618231 = V583099. assign V484476 = V189754 + 1. assign V417613 = V730178 + 1. assign V136290 = V791161 + 1. assign V377869 = V090050. assign V256977 = V555663 - 1. assign V291668 = V207165. assign V937875 = V240704 + 1. assign V477272 = V492878 + 1. assign V011712 = V648160. assign V832668 = V979527 + 1. assign V232338 = V041296 - 1. assign V926090 = V477199. assign V435211 = V477272 + 1. assign V395625 = V765051 - 1. assign V297662 = V791161. assign V063716 = V183871. assign V476054 = V562044 + 1. assign V956095 = V378400. assign V765051 = V854015 + 1. assign V996457 = V240704 + 1. assign V644479 = V669817. assign V020008 = V492878. assign V440767 = V047244 + 1. assign V562044 = V448895 + 1. assign V338287 = V420372. assign V420372 = V965903 + 1. assign V361943 = V417613 + 1. assign V669817 = V429800 - 1. assign V151854 = V420372 - 1. assign V061927 = V850081 - 1. assign V899256 = V730668 - 1. assign V725556 = V504039 - 1. assign V959309 = V895586. assign V648160 = V901042. assign V586622 = V617279. assign V047244 = V895586 - 1. assign V430281 = V429800 - 1. assign V080919 = V167175. assign V392511 = V041296 - 1. assign V084639 = V255379 + 1. assign V875596 = V826195 + 1. assign V895586 = V725556. assign V583797 = V161139 + 1. assign V508366 = V377869. assign V090050 = V797997 - 1. assign V855292 = V435211 - 1. assign V462407 = V644479 - 1. assign V430966 = V189754 + 1. assign V828665 = V941547 + 1. assign V448895 = V445224 + 1. assign V429800 = V392511. assign V943626 = V126745 - 1. assign V583099 = V144606 + 1. assign V727800 = V773048 + 1. assign V051033 = V956095. assign V506422 = V255379 + 1. assign V555663 = V430281. assign V632383 = V599266 + 1. assign V126745 = V183871 - 1. assign V090356 = V397605 + 1. assign V233717 = V599266 + 1. assign V609371 = V429346 + 1. assign V244341 = V512879. assign V954521 = V607073 - 1. assign V599266 = V956095. assign V362001 = V583099 + 1. assign V941547 = V345274 - 1. assign V671140 = V177264. assign V989922 = V727800 + 1. assign V429346 = V126745. assign V649559 = V443839 + 1. assign V378400 = V041296. assign V617279 = V041296 - 1. assign V147391 = V502108. assign V782250 = V979242. assign V817550 = V632383 + 1. assign V081969 = V396180 + 1. assign V477199 = V555663 - 1. assign V509757 = V331946 - 1. assign V891771 = V617279. assign V773048 = V167175 - 1. assign V139645 = V791161. assign V255379 = V041296 + 1. assign V854015 = V773048. assign V607073 = V338287. assign V987736 = V126745.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV414173 = 5;\n\nFrom these direct assignment(s), we have: \nV051432 = V414173 - 1 = 5 - 1 =4;\nNo other variables can be derived from V051432;\nNo other variables can be derived from V414173;\n\nNow we have done all the calculations. Derived variables are:\nV414173 = 5;\nV051432 = 4;\n\nNow we have finished this problem. ANSWER:\nV051432\n", "role": "assistant" } ]

[ "V260161" ]

[ { "content": "<context>\nassign V934483 = V050234. assign V866875 = V474451 - 1. assign V773185 = V556358. assign V191779 = V391370. assign V101726 = V331005 + 1. assign V054511 = V004570 - 1. assign V335232 = V492015. assign V669984 = V529203 - 1. assign V564437 = V902493 - 1. assign V506038 = V063770 - 1. assign V179592 = V810273 - 1. assign V790751 = V680830 - 1. assign V469728 = V202712 - 1. assign V260161 = 7. assign V954610 = V429141 + 1. assign V222321 = V326799 - 1. assign V091104 = V613952. assign V249235 = V428358 - 1. assign V740993 = V239920 + 1. assign V533270 = V552258. assign V998166 = V239920 + 1. assign V530624 = V634162 - 1. assign V053089 = V834000. assign V860020 = V148442 + 1. assign V213921 = V634162. assign V892690 = V614745 + 1. assign V617584 = V050234 + 1. assign V810273 = V060399 + 1. assign V987462 = V107298. assign V977124 = V773185 - 1. assign V636715 = V239920 + 1. assign V313545 = V854291 - 1. assign V262932 = V556358. assign V153290 = V375302 + 1. assign V011555 = V934483 - 1. assign V743604 = V161430 - 1. assign V177056 = V173306 - 1. assign V123394 = V107298 + 1. assign V769109 = V191779 - 1. assign V028161 = V529230. assign V067734 = V626358 + 1. assign V152345 = V495655. assign V241027 = V429141. assign V902493 = V636715 + 1. assign V387862 = V415781 - 1. assign V489133 = V084516 - 1. assign V836195 = V427716 + 1. assign V560901 = V634162 - 1. assign V681604 = V375302 - 1. assign V288031 = V428358 - 1. assign V005573 = V836455. assign V167736 = V233489 - 1. assign V996120 = V037244 + 1. assign V263936 = V637451. assign V080934 = V387862. assign V219822 = V793362 + 1. assign V167145 = V050234. assign V979760 = V659887. assign V355334 = V260161 - 1. assign V465745 = V054511 + 1. assign V433212 = V556358 + 1. assign V541098 = V556358. assign V703996 = V213921. assign V148442 = V251505. assign V202712 = V288031 + 1. assign V839985 = V810273. assign V060399 = V773185 - 1. assign V009707 = V489133 - 1. assign V317606 = V391370. assign V468085 = V415781. assign V848114 = V184644 - 1. assign V793362 = V031037. assign V446298 = V239920 - 1. assign V626358 = V193689. assign V161430 = V326799 - 1. assign V474451 = V934483 - 1. assign V541637 = V429141 + 1. assign V655112 = V659887 + 1. assign V428358 = V740993 + 1. assign V517474 = V611927. assign V596473 = V505220 - 1. assign V611927 = V596473 - 1. assign V529230 = V446298 - 1. assign V495655 = V617584 + 1. assign V063770 = V979760 + 1. assign V522956 = V659887 - 1. assign V952264 = V584722. assign V239920 = V773185. assign V114855 = V019234 - 1. assign V391370 = V415781. assign V346590 = V680830. assign V232697 = V167145 - 1. assign V656960 = V743604. assign V233489 = V247140. assign V642524 = V617584. assign V050234 = V541637 + 1. assign V004570 = V541098. assign V189667 = V063770 - 1. assign V276398 = V189667. assign V080308 = V894029. assign V080185 = V034197. assign V085048 = V251505 - 1. assign V563846 = V637451. assign V427716 = V563892 - 1. assign V529203 = V142377. assign V521739 = V019234 + 1. assign V681863 = V468085 + 1. assign V659887 = V773185. assign V070711 = V474451. assign V031037 = V866875 + 1. assign V034197 = V934483 - 1. assign V563892 = V489133 - 1. assign V680830 = V495655 - 1. assign V251505 = V552258 - 1. assign V460164 = V934483 + 1. assign V637451 = V617584 - 1. assign V854291 = V326799 + 1. assign V360712 = V326799. assign V184644 = V979760 - 1. assign V515028 = V011555 - 1. assign V142377 = V167145 + 1. assign V326799 = V773185 + 1. assign V055876 = V107298 + 1. assign V296125 = V060399 - 1. assign V146319 = V560901. assign V125519 = V191779 - 1. assign V429141 = V193689. assign V370511 = V433212 + 1. assign V552258 = V541637 - 1. assign V505220 = V556358. assign V836455 = V926945 - 1. assign V011376 = V642524 + 1. assign V375302 = V050234. assign V492015 = V954610 - 1. assign V754747 = V288031 - 1. assign V997663 = V552258 + 1. assign V926945 = V614745 + 1. assign V420509 = V191779 + 1. assign V584722 = V296125 + 1. assign V019234 = V552258 - 1. assign V960456 = V529203 - 1. assign V173306 = V541098 + 1. assign V513617 = V848114 - 1. assign V908661 = V034197. assign V419780 = V387862. assign V894029 = V743604. assign V603117 = V495655 + 1. assign V834000 = V934483. assign V695912 = V751831 - 1. assign V731544 = V050234 - 1. assign V449911 = V892690 - 1. assign V247140 = V892690 - 1. assign V981012 = V492015 + 1. assign V630018 = V288031 - 1. assign V614745 = V251505 + 1. assign V268765 = V505220. assign V191901 = V902493. assign V613952 = V541098 + 1. assign V634162 = V541098. assign V389668 = V173306. assign V037244 = V560901 + 1. assign V107298 = V415781. assign V084516 = V934483. assign V331005 = V067734 - 1. assign V193689 = V505220 - 1. assign V919667 = V313545 + 1. assign V047383 = V954610 - 1. assign V640689 = V642524 + 1. assign V593363 = V642524 - 1. assign V112809 = V505220. assign V751831 = V979760 - 1. assign V415781 = V084516 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V934483 = V050234. assign V866875 = V474451 - 1. assign V773185 = V556358. assign V191779 = V391370. assign V101726 = V331005 + 1. assign V054511 = V004570 - 1. assign V335232 = V492015. assign V669984 = V529203 - 1. assign V564437 = V902493 - 1. assign V506038 = V063770 - 1. assign V179592 = V810273 - 1. assign V790751 = V680830 - 1. assign V469728 = V202712 - 1. assign V260161 = 7. assign V954610 = V429141 + 1. assign V222321 = V326799 - 1. assign V091104 = V613952. assign V249235 = V428358 - 1. assign V740993 = V239920 + 1. assign V533270 = V552258. assign V998166 = V239920 + 1. assign V530624 = V634162 - 1. assign V053089 = V834000. assign V860020 = V148442 + 1. assign V213921 = V634162. assign V892690 = V614745 + 1. assign V617584 = V050234 + 1. assign V810273 = V060399 + 1. assign V987462 = V107298. assign V977124 = V773185 - 1. assign V636715 = V239920 + 1. assign V313545 = V854291 - 1. assign V262932 = V556358. assign V153290 = V375302 + 1. assign V011555 = V934483 - 1. assign V743604 = V161430 - 1. assign V177056 = V173306 - 1. assign V123394 = V107298 + 1. assign V769109 = V191779 - 1. assign V028161 = V529230. assign V067734 = V626358 + 1. assign V152345 = V495655. assign V241027 = V429141. assign V902493 = V636715 + 1. assign V387862 = V415781 - 1. assign V489133 = V084516 - 1. assign V836195 = V427716 + 1. assign V560901 = V634162 - 1. assign V681604 = V375302 - 1. assign V288031 = V428358 - 1. assign V005573 = V836455. assign V167736 = V233489 - 1. assign V996120 = V037244 + 1. assign V263936 = V637451. assign V080934 = V387862. assign V219822 = V793362 + 1. assign V167145 = V050234. assign V979760 = V659887. assign V355334 = V260161 - 1. assign V465745 = V054511 + 1. assign V433212 = V556358 + 1. assign V541098 = V556358. assign V703996 = V213921. assign V148442 = V251505. assign V202712 = V288031 + 1. assign V839985 = V810273. assign V060399 = V773185 - 1. assign V009707 = V489133 - 1. assign V317606 = V391370. assign V468085 = V415781. assign V848114 = V184644 - 1. assign V793362 = V031037. assign V446298 = V239920 - 1. assign V626358 = V193689. assign V161430 = V326799 - 1. assign V474451 = V934483 - 1. assign V541637 = V429141 + 1. assign V655112 = V659887 + 1. assign V428358 = V740993 + 1. assign V517474 = V611927. assign V596473 = V505220 - 1. assign V611927 = V596473 - 1. assign V529230 = V446298 - 1. assign V495655 = V617584 + 1. assign V063770 = V979760 + 1. assign V522956 = V659887 - 1. assign V952264 = V584722. assign V239920 = V773185. assign V114855 = V019234 - 1. assign V391370 = V415781. assign V346590 = V680830. assign V232697 = V167145 - 1. assign V656960 = V743604. assign V233489 = V247140. assign V642524 = V617584. assign V050234 = V541637 + 1. assign V004570 = V541098. assign V189667 = V063770 - 1. assign V276398 = V189667. assign V080308 = V894029. assign V080185 = V034197. assign V085048 = V251505 - 1. assign V563846 = V637451. assign V427716 = V563892 - 1. assign V529203 = V142377. assign V521739 = V019234 + 1. assign V681863 = V468085 + 1. assign V659887 = V773185. assign V070711 = V474451. assign V031037 = V866875 + 1. assign V034197 = V934483 - 1. assign V563892 = V489133 - 1. assign V680830 = V495655 - 1. assign V251505 = V552258 - 1. assign V460164 = V934483 + 1. assign V637451 = V617584 - 1. assign V854291 = V326799 + 1. assign V360712 = V326799. assign V184644 = V979760 - 1. assign V515028 = V011555 - 1. assign V142377 = V167145 + 1. assign V326799 = V773185 + 1. assign V055876 = V107298 + 1. assign V296125 = V060399 - 1. assign V146319 = V560901. assign V125519 = V191779 - 1. assign V429141 = V193689. assign V370511 = V433212 + 1. assign V552258 = V541637 - 1. assign V505220 = V556358. assign V836455 = V926945 - 1. assign V011376 = V642524 + 1. assign V375302 = V050234. assign V492015 = V954610 - 1. assign V754747 = V288031 - 1. assign V997663 = V552258 + 1. assign V926945 = V614745 + 1. assign V420509 = V191779 + 1. assign V584722 = V296125 + 1. assign V019234 = V552258 - 1. assign V960456 = V529203 - 1. assign V173306 = V541098 + 1. assign V513617 = V848114 - 1. assign V908661 = V034197. assign V419780 = V387862. assign V894029 = V743604. assign V603117 = V495655 + 1. assign V834000 = V934483. assign V695912 = V751831 - 1. assign V731544 = V050234 - 1. assign V449911 = V892690 - 1. assign V247140 = V892690 - 1. assign V981012 = V492015 + 1. assign V630018 = V288031 - 1. assign V614745 = V251505 + 1. assign V268765 = V505220. assign V191901 = V902493. assign V613952 = V541098 + 1. assign V634162 = V541098. assign V389668 = V173306. assign V037244 = V560901 + 1. assign V107298 = V415781. assign V084516 = V934483. assign V331005 = V067734 - 1. assign V193689 = V505220 - 1. assign V919667 = V313545 + 1. assign V047383 = V954610 - 1. assign V640689 = V642524 + 1. assign V593363 = V642524 - 1. assign V112809 = V505220. assign V751831 = V979760 - 1. assign V415781 = V084516 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV260161 = 7;\n\nFrom these direct assignment(s), we have: \nV355334 = V260161 - 1 = 7 - 1 =6;\nNo other variables can be derived from V355334;\nNo other variables can be derived from V260161;\n\nNow we have done all the calculations. Derived variables are:\nV260161 = 7;\nV355334 = 6;\n\nNow we have finished this problem. ANSWER:\nV260161\n", "role": "assistant" } ]

[ "V690230", "V199199" ]

[ { "content": "<context>\nassign V942732 = V911190 + 1. assign V463021 = V941011. assign V844280 = V913278 + 1. assign V047696 = V688045 + 1. assign V980312 = V625381 + 1. assign V377176 = V722908 - 1. assign V333675 = V065005. assign V280823 = V247862. assign V388520 = V360952 + 1. assign V649235 = V290328 + 1. assign V323487 = V194092. assign V958815 = V753671. assign V806829 = V079303 + 1. assign V834467 = V290328 + 1. assign V941498 = V560556 + 1. assign V079303 = V362339 - 1. assign V410371 = V328954 - 1. assign V641590 = V335645. assign V579643 = V688045. assign V941011 = V082650 + 1. assign V962974 = V247862 + 1. assign V851591 = V977987. assign V612498 = V578159. assign V199199 = V690230. assign V327298 = V352036 - 1. assign V821243 = V726112 + 1. assign V835980 = V962974 - 1. assign V263120 = V578159 - 1. assign V565552 = V813946 - 1. assign V393034 = V855840 - 1. assign V039780 = V995438 + 1. assign V785544 = V098612 + 1. assign V610510 = V247862 + 1. assign V753671 = V780072. assign V599295 = V887945. assign V194092 = V222839. assign V010297 = V599295 + 1. assign V835232 = V948035 - 1. assign V290328 = V559912 + 1. assign V954761 = V887945 - 1. assign V772639 = V328954. assign V674099 = V333020. assign V517491 = V249702. assign V461352 = V060783 - 1. assign V333020 = V965565 + 1. assign V296390 = V599295 + 1. assign V858997 = V468116 + 1. assign V363235 = V736603 + 1. assign V051803 = V249702 - 1. assign V031370 = V222839 - 1. assign V128218 = V977734 + 1. assign V605477 = V194092. assign V640830 = V017315 - 1. assign V911190 = V913278 - 1. assign V851412 = V615569 + 1. assign V336208 = V641590 + 1. assign V884069 = V578159 + 1. assign V721750 = V791655 + 1. assign V045735 = V977987 - 1. assign V249702 = V859458. assign V163035 = V965565 + 1. assign V854311 = V574992. assign V222839 = V835980 + 1. assign V718583 = V517491 - 1. assign V629013 = V249702. assign V719480 = V844280 + 1. assign V165615 = V786555 + 1. assign V995438 = V726112 - 1. assign V343538 = V918910 - 1. assign V328954 = V847093 + 1. assign V633475 = V579643. assign V468116 = V722908 - 1. assign V161491 = V941011 - 1. assign V056872 = V995438 + 1. assign V360952 = V844280. assign V073298 = V365862 + 1. assign V156572 = V847093. assign V736603 = V813946. assign V298635 = V913278 + 1. assign V688045 = V360952 - 1. assign V559912 = V249702. assign V861048 = V719480 + 1. assign V625381 = V335645 - 1. assign V165717 = V674099 + 1. assign V486065 = V719480. assign V977734 = V887945. assign V807416 = V736603 + 1. assign V690230 = 2. assign V318160 = V761563 - 1. assign V802454 = V341490 - 1. assign V241333 = V791655. assign V821066 = V360952 + 1. assign V918910 = V736603 - 1. assign V341490 = V859458 - 1. assign V791655 = V674883. assign V813946 = V948035. assign V859458 = V813946 - 1. assign V674883 = V565552. assign V737488 = V844215 - 1. assign V640091 = V010297. assign V726112 = V674883 - 1. assign V481096 = V962974 + 1. assign V933298 = V859458. assign V574992 = V813946. assign V296774 = V718583 - 1. assign V065005 = V574992. assign V352036 = V721750 - 1. assign V965565 = V290328 - 1. assign V578159 = V736603 + 1. assign V482159 = V948035 + 1. assign V024287 = V296390 + 1. assign V786555 = V802454 - 1. assign V400907 = V844215 - 1. assign V844215 = V780072 - 1. assign V453749 = V579643 + 1. assign V958229 = V859458 + 1. assign V643485 = V341862 + 1. assign V145315 = V579643 - 1. assign V866014 = V010297 + 1. assign V722908 = V247862 + 1. assign V365862 = V753671 + 1. assign V615569 = V565552 + 1. assign V341862 = V933298 + 1. assign V400090 = V674099 + 1. assign V077617 = V039780 + 1. assign V887945 = V615569 + 1. assign V716097 = V328954 - 1. assign V267868 = V031370 + 1. assign V037766 = V400907. assign V112612 = V579643 - 1. assign V560556 = V365862 + 1. assign V017315 = V780072 + 1. assign V855840 = V565552. assign V098612 = V737488. assign V780072 = V082650 + 1. assign V082650 = V948035 - 1. assign V760205 = V933298 + 1. assign V362339 = V082650 - 1. assign V259365 = V980312 + 1. assign V040026 = V844215 + 1. assign V939798 = V161491 - 1. assign V492411 = V039780 - 1. assign V217969 = V913278 - 1. assign V913278 = V948035 + 1. assign V645178 = V024287 + 1. assign V439640 = V082650. assign V102899 = V772639 - 1. assign V953115 = V736603 + 1. assign V640236 = V335645. assign V775603 = V941498 + 1. assign V218414 = V859458 - 1. assign V821698 = V911190. assign V516658 = V439640 - 1. assign V485158 = V468116 - 1. assign V425057 = V948035 - 1. assign V060783 = V629013 + 1. assign V805160 = V721750 - 1. assign V859447 = V400090 + 1. assign V597105 = V247862. assign V590264 = V249702 + 1. assign V870658 = V941498. assign V670955 = V578159 + 1. assign V977987 = V241333 - 1. assign V613438 = V786555. assign V353000 = V565552 + 1. assign V856587 = V722908. assign V335645 = V844215 - 1. assign V979142 = V884069 - 1. assign V948035 = V247862. assign V761563 = V597105 - 1. assign V847093 = V629013 - 1. assign V849659 = V565552 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V942732 = V911190 + 1. assign V463021 = V941011. assign V844280 = V913278 + 1. assign V047696 = V688045 + 1. assign V980312 = V625381 + 1. assign V377176 = V722908 - 1. assign V333675 = V065005. assign V280823 = V247862. assign V388520 = V360952 + 1. assign V649235 = V290328 + 1. assign V323487 = V194092. assign V958815 = V753671. assign V806829 = V079303 + 1. assign V834467 = V290328 + 1. assign V941498 = V560556 + 1. assign V079303 = V362339 - 1. assign V410371 = V328954 - 1. assign V641590 = V335645. assign V579643 = V688045. assign V941011 = V082650 + 1. assign V962974 = V247862 + 1. assign V851591 = V977987. assign V612498 = V578159. assign V199199 = V690230. assign V327298 = V352036 - 1. assign V821243 = V726112 + 1. assign V835980 = V962974 - 1. assign V263120 = V578159 - 1. assign V565552 = V813946 - 1. assign V393034 = V855840 - 1. assign V039780 = V995438 + 1. assign V785544 = V098612 + 1. assign V610510 = V247862 + 1. assign V753671 = V780072. assign V599295 = V887945. assign V194092 = V222839. assign V010297 = V599295 + 1. assign V835232 = V948035 - 1. assign V290328 = V559912 + 1. assign V954761 = V887945 - 1. assign V772639 = V328954. assign V674099 = V333020. assign V517491 = V249702. assign V461352 = V060783 - 1. assign V333020 = V965565 + 1. assign V296390 = V599295 + 1. assign V858997 = V468116 + 1. assign V363235 = V736603 + 1. assign V051803 = V249702 - 1. assign V031370 = V222839 - 1. assign V128218 = V977734 + 1. assign V605477 = V194092. assign V640830 = V017315 - 1. assign V911190 = V913278 - 1. assign V851412 = V615569 + 1. assign V336208 = V641590 + 1. assign V884069 = V578159 + 1. assign V721750 = V791655 + 1. assign V045735 = V977987 - 1. assign V249702 = V859458. assign V163035 = V965565 + 1. assign V854311 = V574992. assign V222839 = V835980 + 1. assign V718583 = V517491 - 1. assign V629013 = V249702. assign V719480 = V844280 + 1. assign V165615 = V786555 + 1. assign V995438 = V726112 - 1. assign V343538 = V918910 - 1. assign V328954 = V847093 + 1. assign V633475 = V579643. assign V468116 = V722908 - 1. assign V161491 = V941011 - 1. assign V056872 = V995438 + 1. assign V360952 = V844280. assign V073298 = V365862 + 1. assign V156572 = V847093. assign V736603 = V813946. assign V298635 = V913278 + 1. assign V688045 = V360952 - 1. assign V559912 = V249702. assign V861048 = V719480 + 1. assign V625381 = V335645 - 1. assign V165717 = V674099 + 1. assign V486065 = V719480. assign V977734 = V887945. assign V807416 = V736603 + 1. assign V690230 = 2. assign V318160 = V761563 - 1. assign V802454 = V341490 - 1. assign V241333 = V791655. assign V821066 = V360952 + 1. assign V918910 = V736603 - 1. assign V341490 = V859458 - 1. assign V791655 = V674883. assign V813946 = V948035. assign V859458 = V813946 - 1. assign V674883 = V565552. assign V737488 = V844215 - 1. assign V640091 = V010297. assign V726112 = V674883 - 1. assign V481096 = V962974 + 1. assign V933298 = V859458. assign V574992 = V813946. assign V296774 = V718583 - 1. assign V065005 = V574992. assign V352036 = V721750 - 1. assign V965565 = V290328 - 1. assign V578159 = V736603 + 1. assign V482159 = V948035 + 1. assign V024287 = V296390 + 1. assign V786555 = V802454 - 1. assign V400907 = V844215 - 1. assign V844215 = V780072 - 1. assign V453749 = V579643 + 1. assign V958229 = V859458 + 1. assign V643485 = V341862 + 1. assign V145315 = V579643 - 1. assign V866014 = V010297 + 1. assign V722908 = V247862 + 1. assign V365862 = V753671 + 1. assign V615569 = V565552 + 1. assign V341862 = V933298 + 1. assign V400090 = V674099 + 1. assign V077617 = V039780 + 1. assign V887945 = V615569 + 1. assign V716097 = V328954 - 1. assign V267868 = V031370 + 1. assign V037766 = V400907. assign V112612 = V579643 - 1. assign V560556 = V365862 + 1. assign V017315 = V780072 + 1. assign V855840 = V565552. assign V098612 = V737488. assign V780072 = V082650 + 1. assign V082650 = V948035 - 1. assign V760205 = V933298 + 1. assign V362339 = V082650 - 1. assign V259365 = V980312 + 1. assign V040026 = V844215 + 1. assign V939798 = V161491 - 1. assign V492411 = V039780 - 1. assign V217969 = V913278 - 1. assign V913278 = V948035 + 1. assign V645178 = V024287 + 1. assign V439640 = V082650. assign V102899 = V772639 - 1. assign V953115 = V736603 + 1. assign V640236 = V335645. assign V775603 = V941498 + 1. assign V218414 = V859458 - 1. assign V821698 = V911190. assign V516658 = V439640 - 1. assign V485158 = V468116 - 1. assign V425057 = V948035 - 1. assign V060783 = V629013 + 1. assign V805160 = V721750 - 1. assign V859447 = V400090 + 1. assign V597105 = V247862. assign V590264 = V249702 + 1. assign V870658 = V941498. assign V670955 = V578159 + 1. assign V977987 = V241333 - 1. assign V613438 = V786555. assign V353000 = V565552 + 1. assign V856587 = V722908. assign V335645 = V844215 - 1. assign V979142 = V884069 - 1. assign V948035 = V247862. assign V761563 = V597105 - 1. assign V847093 = V629013 - 1. assign V849659 = V565552 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV690230 = 2;\n\nFrom these direct assignment(s), we have: \nV199199 = V690230 = 2;\nNo other variables can be derived from V199199;\nNo other variables can be derived from V690230;\n\nNow we have done all the calculations. Derived variables are:\nV690230 = 2;\nV199199 = 2;\n\nNow we have finished this problem. ANSWER:\nV690230, V199199\n", "role": "assistant" } ]

[ "V364341" ]

[ { "content": "<context>\nassign V607756 = V713338. assign V069272 = V632167. assign V923236 = V907707 - 1. assign V246997 = V557873 + 1. assign V772996 = V713338. assign V466090 = V086076 + 1. assign V576950 = V625789 + 1. assign V000227 = V580730 - 1. assign V855112 = V129437 - 1. assign V831749 = V069272 - 1. assign V772814 = V086076 + 1. assign V656156 = V270450 + 1. assign V625725 = V786960. assign V316594 = V327881 + 1. assign V664506 = V772814. assign V177918 = V135492. assign V984827 = V411363 + 1. assign V907707 = V155738. assign V808004 = V242977 - 1. assign V086076 = V155738. assign V286480 = V825590 + 1. assign V112578 = V820837 - 1. assign V910215 = V193730. assign V068780 = V825590. assign V820837 = V482202 - 1. assign V691428 = V873261 - 1. assign V750114 = V952194 - 1. assign V986409 = V155738 + 1. assign V193576 = V048228 - 1. assign V570674 = V048228. assign V952194 = V178742 - 1. assign V033864 = V984827. assign V825590 = V625789 - 1. assign V012175 = V911647. assign V787753 = V089508 + 1. assign V201439 = V907707 - 1. assign V342912 = V153561. assign V795976 = V395859. assign V085885 = V618348. assign V588557 = V048228 + 1. assign V308392 = V000227 + 1. assign V873261 = V886846. assign V053813 = V932293. assign V411163 = V178742 - 1. assign V638924 = V795976 + 1. assign V709725 = V637821. assign V952013 = V494037 + 1. assign V202740 = V772814 + 1. assign V445074 = V811687. assign V464438 = V795976 - 1. assign V250112 = V778955 + 1. assign V619875 = V907707. assign V896132 = V616674 - 1. assign V830207 = V708089. assign V835298 = V089508 - 1. assign V048228 = V932293. assign V799185 = V907707 - 1. assign V886846 = V155738. assign V813249 = V155738 - 1. assign V570614 = V000227 + 1. assign V719828 = V691428. assign V193730 = V825590 + 1. assign V344024 = V799185 - 1. assign V364341 = 8. assign V561458 = V201439 - 1. assign V748904 = V754385 + 1. assign V775780 = V902616 - 1. assign V726433 = V655435 - 1. assign V053715 = V391128 - 1. assign V411363 = V086076. assign V260640 = V748904. assign V779319 = V773011. assign V482202 = V778955 + 1. assign V242977 = V270450 + 1. assign V778242 = V327881 - 1. assign V152149 = V616674 + 1. assign V264598 = V557873 - 1. assign V381960 = V638569 - 1. assign V737357 = V825590 + 1. assign V395859 = V153561. assign V637821 = V086076 + 1. assign V983919 = V016956 + 1. assign V142289 = V779319 - 1. assign V951644 = V986740 - 1. assign V773011 = V327881 + 1. assign V710800 = V172952 - 1. assign V557873 = V155738 + 1. assign V114123 = V773011 + 1. assign V786488 = V907707. assign V226527 = V983919 - 1. assign V129437 = V416729 + 1. assign V958763 = V772814 - 1. assign V977985 = V778955 - 1. assign V107647 = V689275 + 1. assign V833855 = V986740. assign V299175 = V872790 - 1. assign V587832 = V907707. assign V391128 = V114123 - 1. assign V223981 = V242977 + 1. assign V293565 = V391128. assign V724336 = V873261 - 1. assign V786960 = V389529 - 1. assign V022613 = V344024. assign V638569 = V786960 - 1. assign V902616 = V984827. assign V785011 = V872790. assign V872790 = V308879. assign V153561 = V155738 + 1. assign V093336 = V911647. assign V089508 = V778955. assign V708089 = V250112 + 1. assign V199652 = V153561. assign V256078 = V811687 - 1. assign V889387 = V754385 + 1. assign V768382 = V012175 + 1. assign V876568 = V391128. assign V689275 = V327881 - 1. assign V713338 = V327881 - 1. assign V960537 = V223981. assign V219603 = V825590 + 1. assign V014237 = V308879 - 1. assign V510987 = V855112. assign V368461 = V579289. assign V932293 = V153561 - 1. assign V616674 = V048228. assign V062907 = V587832. assign V655435 = V799185. assign V225611 = V403619 - 1. assign V912148 = V607756 - 1. assign V633212 = V086076. assign V178742 = V395859 + 1. assign V787084 = V795976. assign V580730 = V395859 - 1. assign V011812 = V226527. assign V016956 = V155738. assign V494037 = V256078 - 1. assign V442526 = V902616 - 1. assign V613729 = V069272 - 1. assign V667074 = V825590 + 1. assign V416729 = V201439. assign V986740 = V713338 + 1. assign V269774 = V656156 - 1. assign V889895 = V411163 - 1. assign V135492 = V750114 - 1. assign V327881 = V155738 - 1. assign V699213 = V896132. assign V403619 = V618348 - 1. assign V389529 = V813249 - 1. assign V618348 = V911647 + 1. assign V754385 = V632167. assign V911647 = V952194 + 1. assign V461954 = V952013. assign V275312 = V403619 - 1. assign V143594 = V984827. assign V762671 = V199652 + 1. assign V981654 = V587832 + 1. assign V685650 = V482202 - 1. assign V495594 = V691428 - 1. assign V811687 = V778955 + 1. assign V358799 = V799185. assign V798548 = V772814 + 1. assign V579289 = V014237. assign V037404 = V813249 + 1. assign V632167 = V557873 - 1. assign V625789 = V580730 + 1. assign V172952 = V873261. assign V778955 = V086076 + 1. assign V270450 = V086076 - 1. assign V357692 = V616674 + 1. assign V653622 = V364341 - 1. assign V308879 = V178742. assign V965460 = V466090.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V607756 = V713338. assign V069272 = V632167. assign V923236 = V907707 - 1. assign V246997 = V557873 + 1. assign V772996 = V713338. assign V466090 = V086076 + 1. assign V576950 = V625789 + 1. assign V000227 = V580730 - 1. assign V855112 = V129437 - 1. assign V831749 = V069272 - 1. assign V772814 = V086076 + 1. assign V656156 = V270450 + 1. assign V625725 = V786960. assign V316594 = V327881 + 1. assign V664506 = V772814. assign V177918 = V135492. assign V984827 = V411363 + 1. assign V907707 = V155738. assign V808004 = V242977 - 1. assign V086076 = V155738. assign V286480 = V825590 + 1. assign V112578 = V820837 - 1. assign V910215 = V193730. assign V068780 = V825590. assign V820837 = V482202 - 1. assign V691428 = V873261 - 1. assign V750114 = V952194 - 1. assign V986409 = V155738 + 1. assign V193576 = V048228 - 1. assign V570674 = V048228. assign V952194 = V178742 - 1. assign V033864 = V984827. assign V825590 = V625789 - 1. assign V012175 = V911647. assign V787753 = V089508 + 1. assign V201439 = V907707 - 1. assign V342912 = V153561. assign V795976 = V395859. assign V085885 = V618348. assign V588557 = V048228 + 1. assign V308392 = V000227 + 1. assign V873261 = V886846. assign V053813 = V932293. assign V411163 = V178742 - 1. assign V638924 = V795976 + 1. assign V709725 = V637821. assign V952013 = V494037 + 1. assign V202740 = V772814 + 1. assign V445074 = V811687. assign V464438 = V795976 - 1. assign V250112 = V778955 + 1. assign V619875 = V907707. assign V896132 = V616674 - 1. assign V830207 = V708089. assign V835298 = V089508 - 1. assign V048228 = V932293. assign V799185 = V907707 - 1. assign V886846 = V155738. assign V813249 = V155738 - 1. assign V570614 = V000227 + 1. assign V719828 = V691428. assign V193730 = V825590 + 1. assign V344024 = V799185 - 1. assign V364341 = 8. assign V561458 = V201439 - 1. assign V748904 = V754385 + 1. assign V775780 = V902616 - 1. assign V726433 = V655435 - 1. assign V053715 = V391128 - 1. assign V411363 = V086076. assign V260640 = V748904. assign V779319 = V773011. assign V482202 = V778955 + 1. assign V242977 = V270450 + 1. assign V778242 = V327881 - 1. assign V152149 = V616674 + 1. assign V264598 = V557873 - 1. assign V381960 = V638569 - 1. assign V737357 = V825590 + 1. assign V395859 = V153561. assign V637821 = V086076 + 1. assign V983919 = V016956 + 1. assign V142289 = V779319 - 1. assign V951644 = V986740 - 1. assign V773011 = V327881 + 1. assign V710800 = V172952 - 1. assign V557873 = V155738 + 1. assign V114123 = V773011 + 1. assign V786488 = V907707. assign V226527 = V983919 - 1. assign V129437 = V416729 + 1. assign V958763 = V772814 - 1. assign V977985 = V778955 - 1. assign V107647 = V689275 + 1. assign V833855 = V986740. assign V299175 = V872790 - 1. assign V587832 = V907707. assign V391128 = V114123 - 1. assign V223981 = V242977 + 1. assign V293565 = V391128. assign V724336 = V873261 - 1. assign V786960 = V389529 - 1. assign V022613 = V344024. assign V638569 = V786960 - 1. assign V902616 = V984827. assign V785011 = V872790. assign V872790 = V308879. assign V153561 = V155738 + 1. assign V093336 = V911647. assign V089508 = V778955. assign V708089 = V250112 + 1. assign V199652 = V153561. assign V256078 = V811687 - 1. assign V889387 = V754385 + 1. assign V768382 = V012175 + 1. assign V876568 = V391128. assign V689275 = V327881 - 1. assign V713338 = V327881 - 1. assign V960537 = V223981. assign V219603 = V825590 + 1. assign V014237 = V308879 - 1. assign V510987 = V855112. assign V368461 = V579289. assign V932293 = V153561 - 1. assign V616674 = V048228. assign V062907 = V587832. assign V655435 = V799185. assign V225611 = V403619 - 1. assign V912148 = V607756 - 1. assign V633212 = V086076. assign V178742 = V395859 + 1. assign V787084 = V795976. assign V580730 = V395859 - 1. assign V011812 = V226527. assign V016956 = V155738. assign V494037 = V256078 - 1. assign V442526 = V902616 - 1. assign V613729 = V069272 - 1. assign V667074 = V825590 + 1. assign V416729 = V201439. assign V986740 = V713338 + 1. assign V269774 = V656156 - 1. assign V889895 = V411163 - 1. assign V135492 = V750114 - 1. assign V327881 = V155738 - 1. assign V699213 = V896132. assign V403619 = V618348 - 1. assign V389529 = V813249 - 1. assign V618348 = V911647 + 1. assign V754385 = V632167. assign V911647 = V952194 + 1. assign V461954 = V952013. assign V275312 = V403619 - 1. assign V143594 = V984827. assign V762671 = V199652 + 1. assign V981654 = V587832 + 1. assign V685650 = V482202 - 1. assign V495594 = V691428 - 1. assign V811687 = V778955 + 1. assign V358799 = V799185. assign V798548 = V772814 + 1. assign V579289 = V014237. assign V037404 = V813249 + 1. assign V632167 = V557873 - 1. assign V625789 = V580730 + 1. assign V172952 = V873261. assign V778955 = V086076 + 1. assign V270450 = V086076 - 1. assign V357692 = V616674 + 1. assign V653622 = V364341 - 1. assign V308879 = V178742. assign V965460 = V466090.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV364341 = 8;\n\nFrom these direct assignment(s), we have: \nV653622 = V364341 - 1 = 8 - 1 =7;\nNo other variables can be derived from V653622;\nNo other variables can be derived from V364341;\n\nNow we have done all the calculations. Derived variables are:\nV364341 = 8;\nV653622 = 7;\n\nNow we have finished this problem. ANSWER:\nV364341\n", "role": "assistant" } ]

[ "V915749", "V925579" ]

[ { "content": "<context>\nassign V722404 = V886485. assign V426031 = V953295 - 1. assign V953592 = V073653. assign V977529 = V012637. assign V666139 = V203838. assign V402373 = V831099. assign V402699 = V936664 + 1. assign V238262 = V308984 + 1. assign V824278 = V850014 + 1. assign V562511 = V618866 - 1. assign V237077 = V886485. assign V108092 = V482288. assign V519989 = V847959. assign V319322 = V153173 - 1. assign V673349 = V916691. assign V165296 = V073653 + 1. assign V167939 = V126783 - 1. assign V216798 = V643971. assign V390046 = V689829 + 1. assign V918614 = V543713 + 1. assign V799585 = V831099 - 1. assign V566189 = V482288 - 1. assign V586593 = V519985. assign V581538 = V683011 + 1. assign V800392 = V192543. assign V189164 = V953295 + 1. assign V910241 = V390046 - 1. assign V240327 = V886485 - 1. assign V028569 = V666139 + 1. assign V462682 = V577143 + 1. assign V166775 = V500440 - 1. assign V911647 = V380262 + 1. assign V592862 = V722404 + 1. assign V019737 = V028788 - 1. assign V761918 = V272683. assign V069568 = V480404. assign V262830 = V189164 + 1. assign V504501 = V848945 - 1. assign V720243 = V850014. assign V219072 = V901339. assign V738082 = V603449. assign V470577 = V586593. assign V477970 = V481144 - 1. assign V440628 = V319322 + 1. assign V791197 = V689829. assign V914693 = V722404 + 1. assign V153173 = V381637. assign V082712 = V440628 + 1. assign V320574 = V388609 - 1. assign V381637 = V519985 - 1. assign V028817 = V141886 + 1. assign V297050 = V218936 + 1. assign V030037 = V953295. assign V915749 = 0. assign V142985 = V799585. assign V121080 = V543713 - 1. assign V916691 = V886485 + 1. assign V901339 = V316524. assign V643971 = V577143 + 1. assign V896814 = V577143 - 1. assign V524285 = V461705 + 1. assign V063816 = V561331 + 1. assign V649782 = V166775. assign V009303 = V073653 + 1. assign V827248 = V734986 - 1. assign V848945 = V272683 + 1. assign V907610 = V953295. assign V073653 = V519985. assign V030771 = V683011 - 1. assign V591054 = V519985 - 1. assign V381224 = V618866 + 1. assign V850014 = V683011. assign V316524 = V475442 - 1. assign V690364 = V355824 - 1. assign V500440 = V108092 - 1. assign V482568 = V870050 + 1. assign V560199 = V320574. assign V868459 = V009303 - 1. assign V683011 = V240327. assign V218936 = V603449 - 1. assign V075761 = V074663 + 1. assign V925579 = V915749. assign V355824 = V953295. assign V348437 = V776939 + 1. assign V522712 = V577143. assign V273980 = V262830. assign V543713 = V916691 + 1. assign V532982 = V936664. assign V734986 = V320574 - 1. assign V519985 = V886485. assign V508435 = V907610 - 1. assign V768422 = V468181. assign V814809 = V480404. assign V561331 = V577143 + 1. assign V134838 = V219072 - 1. assign V865547 = V910241 + 1. assign V545148 = V094148. assign V203838 = V262830. assign V062121 = V761918 - 1. assign V234534 = V028788 - 1. assign V614658 = V240581 - 1. assign V138525 = V012637 - 1. assign V353049 = V218936 + 1. assign V093533 = V075761 + 1. assign V441294 = V776939 - 1. assign V387706 = V953295 + 1. assign V603449 = V482288 + 1. assign V252242 = V028817 + 1. assign V803240 = V519985 + 1. assign V381028 = V074663 + 1. assign V130452 = V532982 + 1. assign V555537 = V470577 - 1. assign V807839 = V402373 - 1. assign V537763 = V441526 - 1. assign V618866 = V441526. assign V838908 = V082712 - 1. assign V240581 = V009303 + 1. assign V094148 = V380262 + 1. assign V863980 = V839290 - 1. assign V375178 = V009303. assign V468181 = V519985. assign V942941 = V153173 + 1. assign V198682 = V375178. assign V960995 = V272683. assign V997079 = V983211 + 1. assign V380262 = V561331 + 1. assign V308984 = V153173 + 1. assign V794315 = V141886 + 1. assign V060123 = V816587 + 1. assign V847959 = V997079 + 1. assign V028788 = V519985 + 1. assign V983211 = V831099 - 1. assign V609611 = V203838. assign V481144 = V693893 - 1. assign V461705 = V254440 + 1. assign V074663 = V482288. assign V292467 = V916691 + 1. assign V441526 = V153173 + 1. assign V234839 = V886485 - 1. assign V556226 = V262830 - 1. assign V936664 = V028788 - 1. assign V682351 = V142985. assign V036067 = V375178 + 1. assign V488301 = V734986 - 1. assign V831099 = V316524. assign V524886 = V355824. assign V661952 = V390046 - 1. assign V388609 = V936664. assign V693893 = V848945. assign V870050 = V886485. assign V776939 = V586593 + 1. assign V254440 = V609611 + 1. assign V272683 = V519985 + 1. assign V061250 = V012637 - 1. assign V839290 = V722404 - 1. assign V802207 = V375178. assign V482288 = V519985 + 1. assign V126783 = V198682 + 1. assign V192543 = V482288 - 1. assign V689829 = V475442 + 1. assign V480404 = V381637 + 1. assign V141886 = V240327 + 1. assign V475442 = V886485 + 1. assign V012637 = V522712 - 1. assign V528312 = V560199. assign V405685 = V693893 + 1. assign V781185 = V381637. assign V975942 = V297050 + 1. assign V526623 = V953295. assign V953295 = V381637 + 1. assign V816587 = V353049 - 1. assign V577143 = V886485 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V722404 = V886485. assign V426031 = V953295 - 1. assign V953592 = V073653. assign V977529 = V012637. assign V666139 = V203838. assign V402373 = V831099. assign V402699 = V936664 + 1. assign V238262 = V308984 + 1. assign V824278 = V850014 + 1. assign V562511 = V618866 - 1. assign V237077 = V886485. assign V108092 = V482288. assign V519989 = V847959. assign V319322 = V153173 - 1. assign V673349 = V916691. assign V165296 = V073653 + 1. assign V167939 = V126783 - 1. assign V216798 = V643971. assign V390046 = V689829 + 1. assign V918614 = V543713 + 1. assign V799585 = V831099 - 1. assign V566189 = V482288 - 1. assign V586593 = V519985. assign V581538 = V683011 + 1. assign V800392 = V192543. assign V189164 = V953295 + 1. assign V910241 = V390046 - 1. assign V240327 = V886485 - 1. assign V028569 = V666139 + 1. assign V462682 = V577143 + 1. assign V166775 = V500440 - 1. assign V911647 = V380262 + 1. assign V592862 = V722404 + 1. assign V019737 = V028788 - 1. assign V761918 = V272683. assign V069568 = V480404. assign V262830 = V189164 + 1. assign V504501 = V848945 - 1. assign V720243 = V850014. assign V219072 = V901339. assign V738082 = V603449. assign V470577 = V586593. assign V477970 = V481144 - 1. assign V440628 = V319322 + 1. assign V791197 = V689829. assign V914693 = V722404 + 1. assign V153173 = V381637. assign V082712 = V440628 + 1. assign V320574 = V388609 - 1. assign V381637 = V519985 - 1. assign V028817 = V141886 + 1. assign V297050 = V218936 + 1. assign V030037 = V953295. assign V915749 = 0. assign V142985 = V799585. assign V121080 = V543713 - 1. assign V916691 = V886485 + 1. assign V901339 = V316524. assign V643971 = V577143 + 1. assign V896814 = V577143 - 1. assign V524285 = V461705 + 1. assign V063816 = V561331 + 1. assign V649782 = V166775. assign V009303 = V073653 + 1. assign V827248 = V734986 - 1. assign V848945 = V272683 + 1. assign V907610 = V953295. assign V073653 = V519985. assign V030771 = V683011 - 1. assign V591054 = V519985 - 1. assign V381224 = V618866 + 1. assign V850014 = V683011. assign V316524 = V475442 - 1. assign V690364 = V355824 - 1. assign V500440 = V108092 - 1. assign V482568 = V870050 + 1. assign V560199 = V320574. assign V868459 = V009303 - 1. assign V683011 = V240327. assign V218936 = V603449 - 1. assign V075761 = V074663 + 1. assign V925579 = V915749. assign V355824 = V953295. assign V348437 = V776939 + 1. assign V522712 = V577143. assign V273980 = V262830. assign V543713 = V916691 + 1. assign V532982 = V936664. assign V734986 = V320574 - 1. assign V519985 = V886485. assign V508435 = V907610 - 1. assign V768422 = V468181. assign V814809 = V480404. assign V561331 = V577143 + 1. assign V134838 = V219072 - 1. assign V865547 = V910241 + 1. assign V545148 = V094148. assign V203838 = V262830. assign V062121 = V761918 - 1. assign V234534 = V028788 - 1. assign V614658 = V240581 - 1. assign V138525 = V012637 - 1. assign V353049 = V218936 + 1. assign V093533 = V075761 + 1. assign V441294 = V776939 - 1. assign V387706 = V953295 + 1. assign V603449 = V482288 + 1. assign V252242 = V028817 + 1. assign V803240 = V519985 + 1. assign V381028 = V074663 + 1. assign V130452 = V532982 + 1. assign V555537 = V470577 - 1. assign V807839 = V402373 - 1. assign V537763 = V441526 - 1. assign V618866 = V441526. assign V838908 = V082712 - 1. assign V240581 = V009303 + 1. assign V094148 = V380262 + 1. assign V863980 = V839290 - 1. assign V375178 = V009303. assign V468181 = V519985. assign V942941 = V153173 + 1. assign V198682 = V375178. assign V960995 = V272683. assign V997079 = V983211 + 1. assign V380262 = V561331 + 1. assign V308984 = V153173 + 1. assign V794315 = V141886 + 1. assign V060123 = V816587 + 1. assign V847959 = V997079 + 1. assign V028788 = V519985 + 1. assign V983211 = V831099 - 1. assign V609611 = V203838. assign V481144 = V693893 - 1. assign V461705 = V254440 + 1. assign V074663 = V482288. assign V292467 = V916691 + 1. assign V441526 = V153173 + 1. assign V234839 = V886485 - 1. assign V556226 = V262830 - 1. assign V936664 = V028788 - 1. assign V682351 = V142985. assign V036067 = V375178 + 1. assign V488301 = V734986 - 1. assign V831099 = V316524. assign V524886 = V355824. assign V661952 = V390046 - 1. assign V388609 = V936664. assign V693893 = V848945. assign V870050 = V886485. assign V776939 = V586593 + 1. assign V254440 = V609611 + 1. assign V272683 = V519985 + 1. assign V061250 = V012637 - 1. assign V839290 = V722404 - 1. assign V802207 = V375178. assign V482288 = V519985 + 1. assign V126783 = V198682 + 1. assign V192543 = V482288 - 1. assign V689829 = V475442 + 1. assign V480404 = V381637 + 1. assign V141886 = V240327 + 1. assign V475442 = V886485 + 1. assign V012637 = V522712 - 1. assign V528312 = V560199. assign V405685 = V693893 + 1. assign V781185 = V381637. assign V975942 = V297050 + 1. assign V526623 = V953295. assign V953295 = V381637 + 1. assign V816587 = V353049 - 1. assign V577143 = V886485 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV915749 = 0;\n\nFrom these direct assignment(s), we have: \nV925579 = V915749 = 0;\nNo other variables can be derived from V925579;\nNo other variables can be derived from V915749;\n\nNow we have done all the calculations. Derived variables are:\nV915749 = 0;\nV925579 = 0;\n\nNow we have finished this problem. ANSWER:\nV915749, V925579\n", "role": "assistant" } ]

[ "V059546" ]

[ { "content": "<context>\nassign V665870 = V772007. assign V071634 = V635169. assign V318673 = V446199 + 1. assign V581850 = V246932 + 1. assign V305295 = V516282 - 1. assign V889953 = V961476 + 1. assign V205005 = V889953 + 1. assign V902419 = V867453 - 1. assign V105078 = V091677 + 1. assign V534612 = V894950 - 1. assign V804306 = V094595. assign V046713 = V869476. assign V509461 = V246932 - 1. assign V487717 = V112858. assign V745024 = V813873 - 1. assign V594887 = V194955 + 1. assign V033370 = V126252 + 1. assign V961476 = V002920. assign V532090 = V246932. assign V550477 = V057237. assign V867453 = V727412. assign V308634 = V315814. assign V757061 = V813873 - 1. assign V906825 = V487717 - 1. assign V724078 = V983980 - 1. assign V177980 = V902419. assign V123064 = V509461 - 1. assign V256293 = V046411 - 1. assign V264002 = V112858. assign V182010 = V889953 + 1. assign V399789 = V181591. assign V254870 = V707258 - 1. assign V789027 = V669952 - 1. assign V145275 = V724078. assign V258482 = V663514. assign V200111 = V212847 - 1. assign V235719 = V864271 - 1. assign V951658 = V532090 - 1. assign V181591 = V046411 - 1. assign V404259 = V914074 - 1. assign V475587 = V094595 - 1. assign V358110 = V112858 - 1. assign V225487 = V276864. assign V321993 = V613795. assign V207307 = V931892 - 1. assign V924499 = V878203 + 1. assign V663514 = V764597. assign V798898 = V864271 + 1. assign V062006 = V920441 + 1. assign V406581 = V772495. assign V599078 = V112858. assign V303312 = V112858 - 1. assign V002920 = V920441 + 1. assign V686356 = V633496. assign V894950 = V704449. assign V514667 = V703734 - 1. assign V719804 = V920441 - 1. assign V764597 = V040758. assign V963142 = V704942. assign V699173 = V635169 - 1. assign V308102 = V305523 + 1. assign V226668 = V982093. assign V813873 = V062006 + 1. assign V009828 = V047223 + 1. assign V637167 = V033370. assign V876323 = V216351 + 1. assign V516282 = V178751. assign V315814 = V216351 - 1. assign V764957 = V126252. assign V877651 = V243570. assign V178751 = V745024. assign V575326 = V808437 + 1. assign V416538 = V296966 + 1. assign V878203 = V604660 - 1. assign V864271 = V788930 + 1. assign V094595 = V399789 + 1. assign V920346 = V704449. assign V185758 = V216351. assign V920441 = V914074 + 1. assign V676098 = V697087. assign V455129 = V246932 - 1. assign V690479 = V697087 - 1. assign V714602 = V399789. assign V647300 = V235719 - 1. assign V982093 = V894950 - 1. assign V493628 = V296966 - 1. assign V717480 = V912284. assign V797930 = V296966. assign V296966 = V669952. assign V339981 = V604660 - 1. assign V500865 = V406581. assign V697087 = V046411 - 1. assign V431111 = V699173. assign V500301 = V057237. assign V287607 = V399789 + 1. assign V475884 = V808437 - 1. assign V040758 = V635169 + 1. assign V772007 = V635169 - 1. assign V342099 = V226668. assign V635169 = V046411. assign V411039 = V105078. assign V914074 = V246932 - 1. assign V047223 = V745024. assign V813982 = V046411 - 1. assign V613795 = V487717. assign V869476 = V961476 + 1. assign V889330 = V599078 + 1. assign V986843 = V983980 - 1. assign V212847 = V123064 - 1. assign V246932 = V697087 - 1. assign V059546 = V583217 - 1. assign V708472 = V983980 + 1. assign V228043 = V093598 + 1. assign V912284 = V697087. assign V808437 = V699173 - 1. assign V637666 = V057237 + 1. assign V727412 = V305523 + 1. assign V245558 = V757061 + 1. assign V460653 = V951658 + 1. assign V877932 = V876323. assign V243570 = V276864 + 1. assign V939120 = V509461 + 1. assign V126252 = V071634 + 1. assign V612896 = V009828 + 1. assign V885828 = V637167 + 1. assign V095526 = V703734 + 1. assign V091677 = V094595 + 1. assign V704942 = V181591 - 1. assign V355324 = V399789 - 1. assign V216351 = V305523 - 1. assign V917462 = V256293 - 1. assign V983980 = V094595. assign V641513 = V342099 + 1. assign V302996 = V245558 - 1. assign V772495 = V914074 + 1. assign V201160 = V094595. assign V888999 = V727412 - 1. assign V693427 = V046411. assign V633496 = V071634 - 1. assign V669952 = V040758. assign V931892 = V764957 - 1. assign V276864 = V697087. assign V485311 = V772495 + 1. assign V112858 = V071634 + 1. assign V061177 = V243570 + 1. assign V230752 = V057237. assign V057237 = V727412 + 1. assign V615461 = V889953 - 1. assign V305523 = V256293. assign V624305 = V864271 - 1. assign V624703 = V669952 + 1. assign V938410 = V599078 + 1. assign V707258 = V990478 + 1. assign V605026 = V788930 - 1. assign V446199 = V912284 - 1. assign V702644 = V296966 + 1. assign V583217 = 4. assign V909246 = V902419. assign V194955 = V094595 - 1. assign V990478 = V094595. assign V539721 = V676098 + 1. assign V703734 = V912284 + 1. assign V544840 = V798898. assign V093598 = V704942. assign V788930 = V914074 + 1. assign V712179 = V914074. assign V121847 = V637666 + 1. assign V704449 = V094595 - 1. assign V604660 = V813873 - 1. assign V356059 = V663514 - 1. assign V602083 = V869476 + 1. assign V444280 = V258482 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V665870 = V772007. assign V071634 = V635169. assign V318673 = V446199 + 1. assign V581850 = V246932 + 1. assign V305295 = V516282 - 1. assign V889953 = V961476 + 1. assign V205005 = V889953 + 1. assign V902419 = V867453 - 1. assign V105078 = V091677 + 1. assign V534612 = V894950 - 1. assign V804306 = V094595. assign V046713 = V869476. assign V509461 = V246932 - 1. assign V487717 = V112858. assign V745024 = V813873 - 1. assign V594887 = V194955 + 1. assign V033370 = V126252 + 1. assign V961476 = V002920. assign V532090 = V246932. assign V550477 = V057237. assign V867453 = V727412. assign V308634 = V315814. assign V757061 = V813873 - 1. assign V906825 = V487717 - 1. assign V724078 = V983980 - 1. assign V177980 = V902419. assign V123064 = V509461 - 1. assign V256293 = V046411 - 1. assign V264002 = V112858. assign V182010 = V889953 + 1. assign V399789 = V181591. assign V254870 = V707258 - 1. assign V789027 = V669952 - 1. assign V145275 = V724078. assign V258482 = V663514. assign V200111 = V212847 - 1. assign V235719 = V864271 - 1. assign V951658 = V532090 - 1. assign V181591 = V046411 - 1. assign V404259 = V914074 - 1. assign V475587 = V094595 - 1. assign V358110 = V112858 - 1. assign V225487 = V276864. assign V321993 = V613795. assign V207307 = V931892 - 1. assign V924499 = V878203 + 1. assign V663514 = V764597. assign V798898 = V864271 + 1. assign V062006 = V920441 + 1. assign V406581 = V772495. assign V599078 = V112858. assign V303312 = V112858 - 1. assign V002920 = V920441 + 1. assign V686356 = V633496. assign V894950 = V704449. assign V514667 = V703734 - 1. assign V719804 = V920441 - 1. assign V764597 = V040758. assign V963142 = V704942. assign V699173 = V635169 - 1. assign V308102 = V305523 + 1. assign V226668 = V982093. assign V813873 = V062006 + 1. assign V009828 = V047223 + 1. assign V637167 = V033370. assign V876323 = V216351 + 1. assign V516282 = V178751. assign V315814 = V216351 - 1. assign V764957 = V126252. assign V877651 = V243570. assign V178751 = V745024. assign V575326 = V808437 + 1. assign V416538 = V296966 + 1. assign V878203 = V604660 - 1. assign V864271 = V788930 + 1. assign V094595 = V399789 + 1. assign V920346 = V704449. assign V185758 = V216351. assign V920441 = V914074 + 1. assign V676098 = V697087. assign V455129 = V246932 - 1. assign V690479 = V697087 - 1. assign V714602 = V399789. assign V647300 = V235719 - 1. assign V982093 = V894950 - 1. assign V493628 = V296966 - 1. assign V717480 = V912284. assign V797930 = V296966. assign V296966 = V669952. assign V339981 = V604660 - 1. assign V500865 = V406581. assign V697087 = V046411 - 1. assign V431111 = V699173. assign V500301 = V057237. assign V287607 = V399789 + 1. assign V475884 = V808437 - 1. assign V040758 = V635169 + 1. assign V772007 = V635169 - 1. assign V342099 = V226668. assign V635169 = V046411. assign V411039 = V105078. assign V914074 = V246932 - 1. assign V047223 = V745024. assign V813982 = V046411 - 1. assign V613795 = V487717. assign V869476 = V961476 + 1. assign V889330 = V599078 + 1. assign V986843 = V983980 - 1. assign V212847 = V123064 - 1. assign V246932 = V697087 - 1. assign V059546 = V583217 - 1. assign V708472 = V983980 + 1. assign V228043 = V093598 + 1. assign V912284 = V697087. assign V808437 = V699173 - 1. assign V637666 = V057237 + 1. assign V727412 = V305523 + 1. assign V245558 = V757061 + 1. assign V460653 = V951658 + 1. assign V877932 = V876323. assign V243570 = V276864 + 1. assign V939120 = V509461 + 1. assign V126252 = V071634 + 1. assign V612896 = V009828 + 1. assign V885828 = V637167 + 1. assign V095526 = V703734 + 1. assign V091677 = V094595 + 1. assign V704942 = V181591 - 1. assign V355324 = V399789 - 1. assign V216351 = V305523 - 1. assign V917462 = V256293 - 1. assign V983980 = V094595. assign V641513 = V342099 + 1. assign V302996 = V245558 - 1. assign V772495 = V914074 + 1. assign V201160 = V094595. assign V888999 = V727412 - 1. assign V693427 = V046411. assign V633496 = V071634 - 1. assign V669952 = V040758. assign V931892 = V764957 - 1. assign V276864 = V697087. assign V485311 = V772495 + 1. assign V112858 = V071634 + 1. assign V061177 = V243570 + 1. assign V230752 = V057237. assign V057237 = V727412 + 1. assign V615461 = V889953 - 1. assign V305523 = V256293. assign V624305 = V864271 - 1. assign V624703 = V669952 + 1. assign V938410 = V599078 + 1. assign V707258 = V990478 + 1. assign V605026 = V788930 - 1. assign V446199 = V912284 - 1. assign V702644 = V296966 + 1. assign V583217 = 4. assign V909246 = V902419. assign V194955 = V094595 - 1. assign V990478 = V094595. assign V539721 = V676098 + 1. assign V703734 = V912284 + 1. assign V544840 = V798898. assign V093598 = V704942. assign V788930 = V914074 + 1. assign V712179 = V914074. assign V121847 = V637666 + 1. assign V704449 = V094595 - 1. assign V604660 = V813873 - 1. assign V356059 = V663514 - 1. assign V602083 = V869476 + 1. assign V444280 = V258482 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV583217 = 4;\n\nFrom these direct assignment(s), we have: \nV059546 = V583217 - 1 = 4 - 1 =3;\nNo other variables can be derived from V059546;\nNo other variables can be derived from V583217;\n\nNow we have done all the calculations. Derived variables are:\nV583217 = 4;\nV059546 = 3;\n\nNow we have finished this problem. ANSWER:\nV059546\n", "role": "assistant" } ]

[ "V107009", "V999643" ]

[ { "content": "<context>\nassign V053247 = V544439. assign V971571 = V068286. assign V617059 = V061806 + 1. assign V560171 = V397758. assign V756889 = V659519 - 1. assign V841662 = V653579. assign V977712 = V207229 + 1. assign V447310 = V973239 + 1. assign V092496 = V607830 - 1. assign V973239 = V801646 - 1. assign V318502 = V385261 + 1. assign V544338 = V290075 + 1. assign V641194 = V448515 - 1. assign V818915 = V696506 + 1. assign V644304 = V650381 + 1. assign V415239 = V419043 + 1. assign V729995 = V242273. assign V239810 = V243007. assign V314872 = V959890 - 1. assign V858196 = V726846 + 1. assign V545445 = V804726 + 1. assign V500430 = V653579 + 1. assign V290075 = V397758 - 1. assign V520230 = V344449 + 1. assign V670655 = V766315 - 1. assign V470811 = V858196 + 1. assign V696506 = V158582. assign V270376 = V754658 - 1. assign V527520 = V687587 - 1. assign V308287 = V296106 - 1. assign V251841 = V643039 + 1. assign V274276 = V419043 + 1. assign V403991 = V766315 - 1. assign V729755 = V074158 + 1. assign V843978 = V653579 + 1. assign V254304 = V115346. assign V616764 = V463484 + 1. assign V388618 = V336641 + 1. assign V945848 = V297171 - 1. assign V191814 = V327789 + 1. assign V959890 = V327789 + 1. assign V359142 = V207229 + 1. assign V456646 = V243007 + 1. assign V544439 = V729755 - 1. assign V243700 = V729995 + 1. assign V183433 = V115346. assign V367666 = V239810. assign V049897 = V308287. assign V037053 = V290075 + 1. assign V688193 = V545445. assign V061806 = V641194 + 1. assign V264735 = V365715 + 1. assign V344449 = V207229. assign V327789 = V296106. assign V659519 = V297171. assign V814138 = V091831 - 1. assign V340911 = V555437 + 1. assign V388907 = V296106 + 1. assign V340621 = V687587 - 1. assign V469871 = V714877 + 1. assign V568398 = V607830 + 1. assign V766315 = V359142 - 1. assign V520748 = V460296. assign V986429 = V308287 - 1. assign V562746 = V462772 + 1. assign V455818 = V385261 - 1. assign V732081 = V070725. assign V068286 = V448515 - 1. assign V892338 = V264735. assign V207229 = V959890 + 1. assign V091831 = V385261 + 1. assign V731473 = V447310. assign V761418 = V158363 - 1. assign V200266 = V544439 + 1. assign V518842 = V809954. assign V656733 = V873212 + 1. assign V180710 = V225574 + 1. assign V999643 = V107009. assign V726846 = V653579 - 1. assign V653579 = V388907. assign V810550 = V851298. assign V873212 = V296106 + 1. assign V225574 = V644304. assign V871173 = V450124 - 1. assign V009893 = V327789 - 1. assign V967061 = V643039 + 1. assign V947585 = V068286 + 1. assign V138203 = V243007 - 1. assign V973453 = V365715 + 1. assign V804726 = V500430 + 1. assign V684670 = V736028. assign V103296 = V068286 - 1. assign V740830 = V544439 + 1. assign V918184 = V242273 + 1. assign V650381 = V607830 + 1. assign V074158 = V499312. assign V419043 = V296106 - 1. assign V672984 = V397758 - 1. assign V646557 = V385261. assign V422372 = V714877 - 1. assign V257413 = V801646 - 1. assign V534470 = V670655 + 1. assign V450124 = V736028 + 1. assign V667358 = V419043. assign V385261 = V388907 + 1. assign V714877 = V729755 - 1. assign V201597 = V460296. assign V183389 = V359142 - 1. assign V139128 = V568398 + 1. assign V107009 = 4. assign V855122 = V091831. assign V726659 = V180710 + 1. assign V448515 = V376056 - 1. assign V336641 = V499224 - 1. assign V242273 = V327789 - 1. assign V038243 = V650381. assign V834507 = V500430 - 1. assign V402931 = V191814 + 1. assign V607830 = V376056 - 1. assign V517226 = V092496 - 1. assign V736028 = V243007. assign V643039 = V794735 + 1. assign V809954 = V243007 + 1. assign V197287 = V851298 + 1. assign V851298 = V191814 - 1. assign V890338 = V801646 - 1. assign V549069 = V448515 + 1. assign V462772 = V873212. assign V243007 = V500430. assign V143262 = V397758 - 1. assign V794735 = V385261. assign V442399 = V143262. assign V020744 = V499224 - 1. assign V625154 = V858196. assign V201103 = V448515. assign V217264 = V376056 + 1. assign V499224 = V388907 - 1. assign V463484 = V191814 + 1. assign V297171 = V074158 + 1. assign V754658 = V977712. assign V376056 = V419043 + 1. assign V386197 = V672984. assign V145582 = V607830 - 1. assign V179997 = V243007 + 1. assign V460296 = V183433 + 1. assign V227421 = V517226. assign V599906 = V340911. assign V202146 = V145582. assign V364901 = V801646 + 1. assign V867816 = V918184 - 1. assign V929193 = V074158. assign V115346 = V794735 - 1. assign V851351 = V555437 - 1. assign V996397 = V450124. assign V527021 = V297171 - 1. assign V397758 = V653579 - 1. assign V512480 = V667358. assign V365715 = V463484. assign V801646 = V191814 + 1. assign V791070 = V202146 + 1. assign V555437 = V419043 - 1. assign V139362 = V207229. assign V011587 = V290075 - 1. assign V499312 = V376056 - 1. assign V232206 = V527021 - 1. assign V158582 = V364901 + 1. assign V294909 = V038243. assign V547529 = V254304. assign V687587 = V419043 - 1. assign V123998 = V977712 + 1. assign V070725 = V183433 - 1. assign V158363 = V643039.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V053247 = V544439. assign V971571 = V068286. assign V617059 = V061806 + 1. assign V560171 = V397758. assign V756889 = V659519 - 1. assign V841662 = V653579. assign V977712 = V207229 + 1. assign V447310 = V973239 + 1. assign V092496 = V607830 - 1. assign V973239 = V801646 - 1. assign V318502 = V385261 + 1. assign V544338 = V290075 + 1. assign V641194 = V448515 - 1. assign V818915 = V696506 + 1. assign V644304 = V650381 + 1. assign V415239 = V419043 + 1. assign V729995 = V242273. assign V239810 = V243007. assign V314872 = V959890 - 1. assign V858196 = V726846 + 1. assign V545445 = V804726 + 1. assign V500430 = V653579 + 1. assign V290075 = V397758 - 1. assign V520230 = V344449 + 1. assign V670655 = V766315 - 1. assign V470811 = V858196 + 1. assign V696506 = V158582. assign V270376 = V754658 - 1. assign V527520 = V687587 - 1. assign V308287 = V296106 - 1. assign V251841 = V643039 + 1. assign V274276 = V419043 + 1. assign V403991 = V766315 - 1. assign V729755 = V074158 + 1. assign V843978 = V653579 + 1. assign V254304 = V115346. assign V616764 = V463484 + 1. assign V388618 = V336641 + 1. assign V945848 = V297171 - 1. assign V191814 = V327789 + 1. assign V959890 = V327789 + 1. assign V359142 = V207229 + 1. assign V456646 = V243007 + 1. assign V544439 = V729755 - 1. assign V243700 = V729995 + 1. assign V183433 = V115346. assign V367666 = V239810. assign V049897 = V308287. assign V037053 = V290075 + 1. assign V688193 = V545445. assign V061806 = V641194 + 1. assign V264735 = V365715 + 1. assign V344449 = V207229. assign V327789 = V296106. assign V659519 = V297171. assign V814138 = V091831 - 1. assign V340911 = V555437 + 1. assign V388907 = V296106 + 1. assign V340621 = V687587 - 1. assign V469871 = V714877 + 1. assign V568398 = V607830 + 1. assign V766315 = V359142 - 1. assign V520748 = V460296. assign V986429 = V308287 - 1. assign V562746 = V462772 + 1. assign V455818 = V385261 - 1. assign V732081 = V070725. assign V068286 = V448515 - 1. assign V892338 = V264735. assign V207229 = V959890 + 1. assign V091831 = V385261 + 1. assign V731473 = V447310. assign V761418 = V158363 - 1. assign V200266 = V544439 + 1. assign V518842 = V809954. assign V656733 = V873212 + 1. assign V180710 = V225574 + 1. assign V999643 = V107009. assign V726846 = V653579 - 1. assign V653579 = V388907. assign V810550 = V851298. assign V873212 = V296106 + 1. assign V225574 = V644304. assign V871173 = V450124 - 1. assign V009893 = V327789 - 1. assign V967061 = V643039 + 1. assign V947585 = V068286 + 1. assign V138203 = V243007 - 1. assign V973453 = V365715 + 1. assign V804726 = V500430 + 1. assign V684670 = V736028. assign V103296 = V068286 - 1. assign V740830 = V544439 + 1. assign V918184 = V242273 + 1. assign V650381 = V607830 + 1. assign V074158 = V499312. assign V419043 = V296106 - 1. assign V672984 = V397758 - 1. assign V646557 = V385261. assign V422372 = V714877 - 1. assign V257413 = V801646 - 1. assign V534470 = V670655 + 1. assign V450124 = V736028 + 1. assign V667358 = V419043. assign V385261 = V388907 + 1. assign V714877 = V729755 - 1. assign V201597 = V460296. assign V183389 = V359142 - 1. assign V139128 = V568398 + 1. assign V107009 = 4. assign V855122 = V091831. assign V726659 = V180710 + 1. assign V448515 = V376056 - 1. assign V336641 = V499224 - 1. assign V242273 = V327789 - 1. assign V038243 = V650381. assign V834507 = V500430 - 1. assign V402931 = V191814 + 1. assign V607830 = V376056 - 1. assign V517226 = V092496 - 1. assign V736028 = V243007. assign V643039 = V794735 + 1. assign V809954 = V243007 + 1. assign V197287 = V851298 + 1. assign V851298 = V191814 - 1. assign V890338 = V801646 - 1. assign V549069 = V448515 + 1. assign V462772 = V873212. assign V243007 = V500430. assign V143262 = V397758 - 1. assign V794735 = V385261. assign V442399 = V143262. assign V020744 = V499224 - 1. assign V625154 = V858196. assign V201103 = V448515. assign V217264 = V376056 + 1. assign V499224 = V388907 - 1. assign V463484 = V191814 + 1. assign V297171 = V074158 + 1. assign V754658 = V977712. assign V376056 = V419043 + 1. assign V386197 = V672984. assign V145582 = V607830 - 1. assign V179997 = V243007 + 1. assign V460296 = V183433 + 1. assign V227421 = V517226. assign V599906 = V340911. assign V202146 = V145582. assign V364901 = V801646 + 1. assign V867816 = V918184 - 1. assign V929193 = V074158. assign V115346 = V794735 - 1. assign V851351 = V555437 - 1. assign V996397 = V450124. assign V527021 = V297171 - 1. assign V397758 = V653579 - 1. assign V512480 = V667358. assign V365715 = V463484. assign V801646 = V191814 + 1. assign V791070 = V202146 + 1. assign V555437 = V419043 - 1. assign V139362 = V207229. assign V011587 = V290075 - 1. assign V499312 = V376056 - 1. assign V232206 = V527021 - 1. assign V158582 = V364901 + 1. assign V294909 = V038243. assign V547529 = V254304. assign V687587 = V419043 - 1. assign V123998 = V977712 + 1. assign V070725 = V183433 - 1. assign V158363 = V643039.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV107009 = 4;\n\nFrom these direct assignment(s), we have: \nV999643 = V107009 = 4;\nNo other variables can be derived from V999643;\nNo other variables can be derived from V107009;\n\nNow we have done all the calculations. Derived variables are:\nV107009 = 4;\nV999643 = 4;\n\nNow we have finished this problem. ANSWER:\nV107009, V999643\n", "role": "assistant" } ]

[ "V082534" ]

[ { "content": "<context>\nassign V428856 = V755561 - 1. assign V953519 = V771088 - 1. assign V923302 = V127346 - 1. assign V658883 = V049066. assign V420241 = V923380 + 1. assign V263606 = V302611 - 1. assign V147872 = V597844 + 1. assign V654310 = V906902 - 1. assign V762588 = V420241 - 1. assign V347196 = V746061 + 1. assign V089712 = V127346 - 1. assign V404099 = V394405. assign V981104 = V685744 - 1. assign V055264 = V241023. assign V453960 = V643795. assign V442678 = 1. assign V692211 = V502730 + 1. assign V091708 = V565196 - 1. assign V241165 = V127346 + 1. assign V315201 = V151035 + 1. assign V928188 = V049066 - 1. assign V811324 = V946852 + 1. assign V394405 = V127346 + 1. assign V532407 = V707493 + 1. assign V143341 = V357179. assign V450697 = V249412. assign V770624 = V298136 + 1. assign V639284 = V134188. assign V594012 = V649798 - 1. assign V631480 = V538275. assign V425405 = V492431 - 1. assign V757812 = V747929 + 1. assign V056553 = V590976 + 1. assign V462976 = V049066 + 1. assign V565196 = V538275 - 1. assign V820082 = V256252. assign V609771 = V779930 + 1. assign V028016 = V147872 + 1. assign V865290 = V975701. assign V831634 = V538275 - 1. assign V771088 = V565196 - 1. assign V256252 = V156229 + 1. assign V049066 = V111657 + 1. assign V774156 = V923380. assign V590923 = V649798 - 1. assign V920004 = V091708 - 1. assign V518768 = V151035 - 1. assign V139382 = V394405 - 1. assign V457833 = V643795 - 1. assign V272231 = V945083. assign V006416 = V425620. assign V411873 = V597844. assign V676788 = V946852 - 1. assign V538275 = V923380. assign V184454 = V394405 - 1. assign V118254 = V127346. assign V431344 = V422061 - 1. assign V344767 = V975701 + 1. assign V975701 = V538275 - 1. assign V380295 = V315201. assign V675778 = V946852 + 1. assign V502730 = V923380 + 1. assign V061723 = V127346 - 1. assign V696179 = V975701 + 1. assign V249412 = V762588 - 1. assign V127346 = V538275 - 1. assign V782712 = V865290 + 1. assign V422061 = V315201 - 1. assign V597844 = V594012 - 1. assign V205676 = V975701 - 1. assign V542363 = V597844. assign V190282 = V597844 - 1. assign V175305 = V089712. assign V945083 = V502730. assign V288065 = V923380 + 1. assign V082534 = V442678 + 1. assign V569299 = V817938 + 1. assign V669161 = V111657. assign V748573 = V502730 + 1. assign V498954 = V156229 - 1. assign V613855 = V394405 - 1. assign V598447 = V447401 + 1. assign V162435 = V747929 + 1. assign V153306 = V647231. assign V906902 = V755561. assign V362072 = V151035 - 1. assign V310351 = V147872 + 1. assign V511758 = V492431. assign V467435 = V151035. assign V723302 = V298136. assign V983969 = V973736 - 1. assign V946852 = V538275 - 1. assign V523160 = V511758 - 1. assign V461548 = V498954 - 1. assign V746061 = V502730. assign V636341 = V817938 + 1. assign V222756 = V953519. assign V297572 = V428856 - 1. assign V101444 = V394405 + 1. assign V242548 = V127346. assign V590976 = V906902 - 1. assign V537283 = V091708 + 1. assign V044467 = V256252 - 1. assign V492431 = V538275 + 1. assign V897992 = V973736. assign V676040 = V464668 - 1. assign V755561 = V538275. assign V357179 = V906902 + 1. assign V425620 = V420241 - 1. assign V400669 = V420241. assign V647231 = V577556 + 1. assign V619557 = V923380 + 1. assign V895816 = V577556 + 1. assign V326491 = V127346 - 1. assign V214181 = V089712. assign V649798 = V923380. assign V643795 = V897992 - 1. assign V342639 = V420241 + 1. assign V147281 = V028016. assign V492965 = V731547 - 1. assign V261697 = V779930 - 1. assign V621005 = V048658 + 1. assign V298136 = V923380 + 1. assign V889076 = V118254 - 1. assign V685744 = V111657. assign V111657 = V315201. assign V779930 = V920004 + 1. assign V715888 = V422061. assign V768609 = V840453 - 1. assign V731547 = V422061. assign V275969 = V297572 - 1. assign V577556 = V048658. assign V959394 = V275969 - 1. assign V707493 = V975701 + 1. assign V375747 = V089712. assign V792706 = V298136 + 1. assign V355546 = V590923 + 1. assign V199423 = V464668 - 1. assign V817938 = V859017. assign V913312 = V299961 - 1. assign V990177 = V190282. assign V292962 = V571488 + 1. assign V704916 = V594012. assign V651692 = V577556 - 1. assign V840453 = V565196 - 1. assign V329493 = V649798. assign V776711 = V261697. assign V134188 = V288065. assign V299961 = V649798. assign V923380 = V747929. assign V743721 = V462976. assign V859017 = V946852 - 1. assign V900229 = V619557. assign V536144 = V859017 + 1. assign V447401 = V594012. assign V048658 = V565196. assign V241023 = V326491 - 1. assign V284738 = V394405. assign V302611 = V492965 + 1. assign V080625 = V288065 + 1. assign V156229 = V746061. assign V278987 = V288065 - 1. assign V018617 = V139382. assign V514843 = V536144 + 1. assign V681626 = V147872. assign V151035 = V923380. assign V730800 = V715888. assign V464668 = V502730 + 1. assign V571488 = V310351 + 1. assign V692797 = V151035. assign V229045 = V297572 - 1. assign V973736 = V831634.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V428856 = V755561 - 1. assign V953519 = V771088 - 1. assign V923302 = V127346 - 1. assign V658883 = V049066. assign V420241 = V923380 + 1. assign V263606 = V302611 - 1. assign V147872 = V597844 + 1. assign V654310 = V906902 - 1. assign V762588 = V420241 - 1. assign V347196 = V746061 + 1. assign V089712 = V127346 - 1. assign V404099 = V394405. assign V981104 = V685744 - 1. assign V055264 = V241023. assign V453960 = V643795. assign V442678 = 1. assign V692211 = V502730 + 1. assign V091708 = V565196 - 1. assign V241165 = V127346 + 1. assign V315201 = V151035 + 1. assign V928188 = V049066 - 1. assign V811324 = V946852 + 1. assign V394405 = V127346 + 1. assign V532407 = V707493 + 1. assign V143341 = V357179. assign V450697 = V249412. assign V770624 = V298136 + 1. assign V639284 = V134188. assign V594012 = V649798 - 1. assign V631480 = V538275. assign V425405 = V492431 - 1. assign V757812 = V747929 + 1. assign V056553 = V590976 + 1. assign V462976 = V049066 + 1. assign V565196 = V538275 - 1. assign V820082 = V256252. assign V609771 = V779930 + 1. assign V028016 = V147872 + 1. assign V865290 = V975701. assign V831634 = V538275 - 1. assign V771088 = V565196 - 1. assign V256252 = V156229 + 1. assign V049066 = V111657 + 1. assign V774156 = V923380. assign V590923 = V649798 - 1. assign V920004 = V091708 - 1. assign V518768 = V151035 - 1. assign V139382 = V394405 - 1. assign V457833 = V643795 - 1. assign V272231 = V945083. assign V006416 = V425620. assign V411873 = V597844. assign V676788 = V946852 - 1. assign V538275 = V923380. assign V184454 = V394405 - 1. assign V118254 = V127346. assign V431344 = V422061 - 1. assign V344767 = V975701 + 1. assign V975701 = V538275 - 1. assign V380295 = V315201. assign V675778 = V946852 + 1. assign V502730 = V923380 + 1. assign V061723 = V127346 - 1. assign V696179 = V975701 + 1. assign V249412 = V762588 - 1. assign V127346 = V538275 - 1. assign V782712 = V865290 + 1. assign V422061 = V315201 - 1. assign V597844 = V594012 - 1. assign V205676 = V975701 - 1. assign V542363 = V597844. assign V190282 = V597844 - 1. assign V175305 = V089712. assign V945083 = V502730. assign V288065 = V923380 + 1. assign V082534 = V442678 + 1. assign V569299 = V817938 + 1. assign V669161 = V111657. assign V748573 = V502730 + 1. assign V498954 = V156229 - 1. assign V613855 = V394405 - 1. assign V598447 = V447401 + 1. assign V162435 = V747929 + 1. assign V153306 = V647231. assign V906902 = V755561. assign V362072 = V151035 - 1. assign V310351 = V147872 + 1. assign V511758 = V492431. assign V467435 = V151035. assign V723302 = V298136. assign V983969 = V973736 - 1. assign V946852 = V538275 - 1. assign V523160 = V511758 - 1. assign V461548 = V498954 - 1. assign V746061 = V502730. assign V636341 = V817938 + 1. assign V222756 = V953519. assign V297572 = V428856 - 1. assign V101444 = V394405 + 1. assign V242548 = V127346. assign V590976 = V906902 - 1. assign V537283 = V091708 + 1. assign V044467 = V256252 - 1. assign V492431 = V538275 + 1. assign V897992 = V973736. assign V676040 = V464668 - 1. assign V755561 = V538275. assign V357179 = V906902 + 1. assign V425620 = V420241 - 1. assign V400669 = V420241. assign V647231 = V577556 + 1. assign V619557 = V923380 + 1. assign V895816 = V577556 + 1. assign V326491 = V127346 - 1. assign V214181 = V089712. assign V649798 = V923380. assign V643795 = V897992 - 1. assign V342639 = V420241 + 1. assign V147281 = V028016. assign V492965 = V731547 - 1. assign V261697 = V779930 - 1. assign V621005 = V048658 + 1. assign V298136 = V923380 + 1. assign V889076 = V118254 - 1. assign V685744 = V111657. assign V111657 = V315201. assign V779930 = V920004 + 1. assign V715888 = V422061. assign V768609 = V840453 - 1. assign V731547 = V422061. assign V275969 = V297572 - 1. assign V577556 = V048658. assign V959394 = V275969 - 1. assign V707493 = V975701 + 1. assign V375747 = V089712. assign V792706 = V298136 + 1. assign V355546 = V590923 + 1. assign V199423 = V464668 - 1. assign V817938 = V859017. assign V913312 = V299961 - 1. assign V990177 = V190282. assign V292962 = V571488 + 1. assign V704916 = V594012. assign V651692 = V577556 - 1. assign V840453 = V565196 - 1. assign V329493 = V649798. assign V776711 = V261697. assign V134188 = V288065. assign V299961 = V649798. assign V923380 = V747929. assign V743721 = V462976. assign V859017 = V946852 - 1. assign V900229 = V619557. assign V536144 = V859017 + 1. assign V447401 = V594012. assign V048658 = V565196. assign V241023 = V326491 - 1. assign V284738 = V394405. assign V302611 = V492965 + 1. assign V080625 = V288065 + 1. assign V156229 = V746061. assign V278987 = V288065 - 1. assign V018617 = V139382. assign V514843 = V536144 + 1. assign V681626 = V147872. assign V151035 = V923380. assign V730800 = V715888. assign V464668 = V502730 + 1. assign V571488 = V310351 + 1. assign V692797 = V151035. assign V229045 = V297572 - 1. assign V973736 = V831634.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV442678 = 1;\n\nFrom these direct assignment(s), we have: \nV082534 = V442678 + 1 = 1 + 1 =2;\nNo other variables can be derived from V082534;\nNo other variables can be derived from V442678;\n\nNow we have done all the calculations. Derived variables are:\nV442678 = 1;\nV082534 = 2;\n\nNow we have finished this problem. ANSWER:\nV082534\n", "role": "assistant" } ]

[ "V802539", "V496117" ]

[ { "content": "<context>\nassign V999861 = V570821. assign V167436 = V986096. assign V329276 = V475539 - 1. assign V675802 = V043140. assign V748271 = V408022 + 1. assign V253644 = V069636 + 1. assign V690601 = V475539. assign V106428 = V358669 - 1. assign V339116 = V937408 + 1. assign V876116 = V457986. assign V967757 = V883379 - 1. assign V033009 = V976365 - 1. assign V848685 = V982147 + 1. assign V238335 = V890686 - 1. assign V139282 = V176504 + 1. assign V408022 = V915605 - 1. assign V136986 = V238287 - 1. assign V124586 = V106428 - 1. assign V779886 = V248901. assign V900040 = V069636 + 1. assign V690639 = V038261 - 1. assign V566452 = V804116. assign V624539 = V457986. assign V955015 = V821821 - 1. assign V307145 = V358669 - 1. assign V327913 = V746238 + 1. assign V813842 = V566452 - 1. assign V527953 = V144100 + 1. assign V389328 = V447160 + 1. assign V937408 = V329276 + 1. assign V792986 = V450361 - 1. assign V343550 = V090081. assign V774547 = V802509 - 1. assign V982147 = V792314 - 1. assign V323739 = V566486. assign V362658 = V802509 + 1. assign V804116 = V603611 - 1. assign V977626 = V792314 + 1. assign V176504 = V643274 + 1. assign V728653 = V019294 + 1. assign V031231 = V774547. assign V680647 = V457986 - 1. assign V069636 = V450361. assign V278487 = V549141. assign V403459 = V876116. assign V985121 = V603611 - 1. assign V334302 = V942174 + 1. assign V186322 = V792986. assign V053926 = V249081 + 1. assign V540331 = V912358 + 1. assign V912358 = V069636. assign V470172 = V249081 - 1. assign V628039 = V716067 + 1. assign V145891 = V760009 - 1. assign V917189 = V145891 + 1. assign V581901 = V013526 - 1. assign V659161 = V457986 - 1. assign V566486 = V195452 - 1. assign V645145 = V883379 - 1. assign V903180 = V654562. assign V169063 = V457986 + 1. assign V660676 = V357068 + 1. assign V525403 = V358669. assign V252627 = V621863 + 1. assign V640568 = V746238. assign V706562 = V162359 + 1. assign V591716 = V364134 + 1. assign V890686 = V792314 + 1. assign V716067 = V660982 + 1. assign V126192 = V145891 + 1. assign V347594 = V915605 + 1. assign V019294 = V917189. assign V188510 = V205229. assign V654562 = V253644 - 1. assign V101714 = V792314 - 1. assign V889077 = V942174. assign V205229 = V760009 + 1. assign V249832 = V106428 + 1. assign V358669 = V450361 + 1. assign V746238 = V364134 - 1. assign V013526 = V136986 + 1. assign V450361 = V248901 + 1. assign V038261 = V883379. assign V144100 = V802509 - 1. assign V083743 = V145627. assign V739886 = V249081 + 1. assign V923534 = V654562 + 1. assign V566143 = V787584 - 1. assign V364134 = V278487 + 1. assign V434903 = V423595 - 1. assign V356158 = V232812 - 1. assign V848955 = V640568 + 1. assign V047711 = V423595 - 1. assign V492806 = V205229 - 1. assign V162359 = V069636 + 1. assign V690174 = V836592. assign V398244 = V329276. assign V359183 = V903180 - 1. assign V175410 = V403459 - 1. assign V897140 = V787584. assign V909668 = V458048 - 1. assign V787584 = V706562 + 1. assign V596513 = V238335 - 1. assign V496117 = V802539. assign V043140 = V069094 - 1. assign V232812 = V876116 + 1. assign V756919 = V870353 + 1. assign V145627 = V475539 + 1. assign V475539 = V249081. assign V625629 = V748271 + 1. assign V006332 = V643274 + 1. assign V870353 = V900040 + 1. assign V920774 = V915605 + 1. assign V976664 = V248901. assign V255466 = V457986 + 1. assign V113984 = V787584 + 1. assign V154978 = V238287. assign V811676 = V540331. assign V238287 = V357068 - 1. assign V447160 = V364134 + 1. assign V195452 = V760009 + 1. assign V570821 = V746238. assign V353337 = V903180 - 1. assign V043832 = V566143 - 1. assign V986096 = V053926 + 1. assign V357068 = V804116 + 1. assign V821821 = V680647. assign V850070 = V760009. assign V976365 = V255466 + 1. assign V366804 = V746238. assign V936792 = V145891 + 1. assign V248901 = V660982 + 1. assign V621863 = V195452 - 1. assign V417215 = V249832. assign V403399 = V417215 + 1. assign V423595 = V883379 - 1. assign V925516 = V408022. assign V942610 = V900040 + 1. assign V244631 = V162359. assign V549141 = V660982 + 1. assign V886520 = V713173 - 1. assign V032657 = V195452 - 1. assign V069094 = V475539 - 1. assign V407243 = V920774 + 1. assign V365919 = V792986. assign V120099 = V549141 + 1. assign V458048 = V716067. assign V603611 = V760009. assign V883379 = V145891 - 1. assign V114348 = V033009 + 1. assign V457986 = V802509. assign V792314 = V986096 + 1. assign V942174 = V069636 + 1. assign V367612 = V792986 - 1. assign V802509 = V660982 + 1. assign V797510 = V690601. assign V217959 = V364134 - 1. assign V643274 = V850070 + 1. assign V760009 = V457986 + 1. assign V783744 = V889204 + 1. assign V204292 = V423595. assign V470020 = V675802. assign V099436 = V690601 - 1. assign V889204 = V643274. assign V915605 = V660982 + 1. assign V964768 = V031231. assign V802539 = 9. assign V713173 = V876116 - 1. assign V249081 = V660982. assign V016623 = V821821 - 1. assign V090081 = V358669. assign V836592 = V403459 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V999861 = V570821. assign V167436 = V986096. assign V329276 = V475539 - 1. assign V675802 = V043140. assign V748271 = V408022 + 1. assign V253644 = V069636 + 1. assign V690601 = V475539. assign V106428 = V358669 - 1. assign V339116 = V937408 + 1. assign V876116 = V457986. assign V967757 = V883379 - 1. assign V033009 = V976365 - 1. assign V848685 = V982147 + 1. assign V238335 = V890686 - 1. assign V139282 = V176504 + 1. assign V408022 = V915605 - 1. assign V136986 = V238287 - 1. assign V124586 = V106428 - 1. assign V779886 = V248901. assign V900040 = V069636 + 1. assign V690639 = V038261 - 1. assign V566452 = V804116. assign V624539 = V457986. assign V955015 = V821821 - 1. assign V307145 = V358669 - 1. assign V327913 = V746238 + 1. assign V813842 = V566452 - 1. assign V527953 = V144100 + 1. assign V389328 = V447160 + 1. assign V937408 = V329276 + 1. assign V792986 = V450361 - 1. assign V343550 = V090081. assign V774547 = V802509 - 1. assign V982147 = V792314 - 1. assign V323739 = V566486. assign V362658 = V802509 + 1. assign V804116 = V603611 - 1. assign V977626 = V792314 + 1. assign V176504 = V643274 + 1. assign V728653 = V019294 + 1. assign V031231 = V774547. assign V680647 = V457986 - 1. assign V069636 = V450361. assign V278487 = V549141. assign V403459 = V876116. assign V985121 = V603611 - 1. assign V334302 = V942174 + 1. assign V186322 = V792986. assign V053926 = V249081 + 1. assign V540331 = V912358 + 1. assign V912358 = V069636. assign V470172 = V249081 - 1. assign V628039 = V716067 + 1. assign V145891 = V760009 - 1. assign V917189 = V145891 + 1. assign V581901 = V013526 - 1. assign V659161 = V457986 - 1. assign V566486 = V195452 - 1. assign V645145 = V883379 - 1. assign V903180 = V654562. assign V169063 = V457986 + 1. assign V660676 = V357068 + 1. assign V525403 = V358669. assign V252627 = V621863 + 1. assign V640568 = V746238. assign V706562 = V162359 + 1. assign V591716 = V364134 + 1. assign V890686 = V792314 + 1. assign V716067 = V660982 + 1. assign V126192 = V145891 + 1. assign V347594 = V915605 + 1. assign V019294 = V917189. assign V188510 = V205229. assign V654562 = V253644 - 1. assign V101714 = V792314 - 1. assign V889077 = V942174. assign V205229 = V760009 + 1. assign V249832 = V106428 + 1. assign V358669 = V450361 + 1. assign V746238 = V364134 - 1. assign V013526 = V136986 + 1. assign V450361 = V248901 + 1. assign V038261 = V883379. assign V144100 = V802509 - 1. assign V083743 = V145627. assign V739886 = V249081 + 1. assign V923534 = V654562 + 1. assign V566143 = V787584 - 1. assign V364134 = V278487 + 1. assign V434903 = V423595 - 1. assign V356158 = V232812 - 1. assign V848955 = V640568 + 1. assign V047711 = V423595 - 1. assign V492806 = V205229 - 1. assign V162359 = V069636 + 1. assign V690174 = V836592. assign V398244 = V329276. assign V359183 = V903180 - 1. assign V175410 = V403459 - 1. assign V897140 = V787584. assign V909668 = V458048 - 1. assign V787584 = V706562 + 1. assign V596513 = V238335 - 1. assign V496117 = V802539. assign V043140 = V069094 - 1. assign V232812 = V876116 + 1. assign V756919 = V870353 + 1. assign V145627 = V475539 + 1. assign V475539 = V249081. assign V625629 = V748271 + 1. assign V006332 = V643274 + 1. assign V870353 = V900040 + 1. assign V920774 = V915605 + 1. assign V976664 = V248901. assign V255466 = V457986 + 1. assign V113984 = V787584 + 1. assign V154978 = V238287. assign V811676 = V540331. assign V238287 = V357068 - 1. assign V447160 = V364134 + 1. assign V195452 = V760009 + 1. assign V570821 = V746238. assign V353337 = V903180 - 1. assign V043832 = V566143 - 1. assign V986096 = V053926 + 1. assign V357068 = V804116 + 1. assign V821821 = V680647. assign V850070 = V760009. assign V976365 = V255466 + 1. assign V366804 = V746238. assign V936792 = V145891 + 1. assign V248901 = V660982 + 1. assign V621863 = V195452 - 1. assign V417215 = V249832. assign V403399 = V417215 + 1. assign V423595 = V883379 - 1. assign V925516 = V408022. assign V942610 = V900040 + 1. assign V244631 = V162359. assign V549141 = V660982 + 1. assign V886520 = V713173 - 1. assign V032657 = V195452 - 1. assign V069094 = V475539 - 1. assign V407243 = V920774 + 1. assign V365919 = V792986. assign V120099 = V549141 + 1. assign V458048 = V716067. assign V603611 = V760009. assign V883379 = V145891 - 1. assign V114348 = V033009 + 1. assign V457986 = V802509. assign V792314 = V986096 + 1. assign V942174 = V069636 + 1. assign V367612 = V792986 - 1. assign V802509 = V660982 + 1. assign V797510 = V690601. assign V217959 = V364134 - 1. assign V643274 = V850070 + 1. assign V760009 = V457986 + 1. assign V783744 = V889204 + 1. assign V204292 = V423595. assign V470020 = V675802. assign V099436 = V690601 - 1. assign V889204 = V643274. assign V915605 = V660982 + 1. assign V964768 = V031231. assign V802539 = 9. assign V713173 = V876116 - 1. assign V249081 = V660982. assign V016623 = V821821 - 1. assign V090081 = V358669. assign V836592 = V403459 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV802539 = 9;\n\nFrom these direct assignment(s), we have: \nV496117 = V802539 = 9;\nNo other variables can be derived from V496117;\nNo other variables can be derived from V802539;\n\nNow we have done all the calculations. Derived variables are:\nV802539 = 9;\nV496117 = 9;\n\nNow we have finished this problem. ANSWER:\nV802539, V496117\n", "role": "assistant" } ]

[ "V721197" ]

[ { "content": "<context>\nassign V562353 = V058983. assign V471217 = V932190 - 1. assign V212396 = V908534 - 1. assign V082524 = V264294 + 1. assign V653245 = V288239. assign V353766 = V573723. assign V520068 = V167016. assign V340032 = V211546 - 1. assign V324550 = V982919 + 1. assign V344099 = V390487 - 1. assign V108417 = V519881. assign V003167 = V982919 - 1. assign V249486 = V425283 + 1. assign V741870 = V534944 + 1. assign V223611 = V318834 + 1. assign V984190 = V324563 - 1. assign V643337 = V024630 - 1. assign V183255 = V426854 + 1. assign V850506 = V050464 - 1. assign V666595 = V253934. assign V265885 = V672791 - 1. assign V172540 = V193027 - 1. assign V058983 = V344099. assign V389842 = V050227. assign V290029 = V552714 + 1. assign V976565 = V940463 + 1. assign V463182 = V373059 - 1. assign V623305 = V850505. assign V610259 = V248449 - 1. assign V677575 = V721197 - 1. assign V315559 = V840094 + 1. assign V765995 = V534944. assign V653828 = V940463 - 1. assign V842907 = V024630 + 1. assign V053625 = V253934. assign V292670 = V957547 + 1. assign V082091 = V290029 - 1. assign V412049 = V975812 + 1. assign V310832 = V775907 + 1. assign V567525 = V953156 + 1. assign V248449 = V167016. assign V024630 = V003167. assign V318834 = V957547. assign V042157 = V050464 - 1. assign V651953 = V358339 - 1. assign V756592 = V373059. assign V801752 = V301164. assign V530236 = V253934. assign V736464 = V984190. assign V789149 = V248449 - 1. assign V394200 = V957547 - 1. assign V383933 = V850505. assign V395941 = V520068 - 1. assign V211546 = V167016 + 1. assign V098165 = V390487. assign V688991 = V304251 + 1. assign V439887 = V982919 + 1. assign V205397 = V519881 - 1. assign V304251 = V984190. assign V413352 = V042157 + 1. assign V265775 = V775907. assign V211729 = V286987 - 1. assign V310089 = V908534 + 1. assign V318990 = V426854 + 1. assign V266607 = V449432. assign V762227 = V290888 - 1. assign V519536 = V169618. assign V520230 = V842907 - 1. assign V808146 = V449432 - 1. assign V534944 = V389842 - 1. assign V720100 = V789149 - 1. assign V506029 = V082524 - 1. assign V791009 = V292670. assign V846233 = V666595 - 1. assign V702254 = V304251. assign V449417 = V967869 + 1. assign V184774 = V318990 + 1. assign V358339 = V984190. assign V151493 = V373059 + 1. assign V439749 = V426854. assign V121262 = V290029 - 1. assign V387130 = V808146 + 1. assign V193027 = V239230 - 1. assign V953156 = V318990 - 1. assign V552714 = V167016 + 1. assign V426854 = V003167. assign V591205 = V310482. assign V906514 = V395941 - 1. assign V970568 = V449432 - 1. assign V260957 = V394200. assign V917448 = V112135. assign V343778 = V535727. assign V837122 = V172540 - 1. assign V421938 = V383933 - 1. assign V231680 = V449432 + 1. assign V317178 = V847618. assign V324563 = V520068. assign V535698 = V260957 + 1. assign V957547 = V982919 + 1. assign V498015 = V324563 + 1. assign V928349 = V211546. assign V008858 = V260957 + 1. assign V310482 = V932190 + 1. assign V425283 = V387130. assign V112135 = V850505. assign V891319 = V340032 + 1. assign V290011 = V151493 - 1. assign V850505 = V982919 + 1. assign V708060 = V151493 + 1. assign V573723 = V373059 + 1. assign V797069 = V152031 + 1. assign V435451 = V653245 + 1. assign V132351 = V775907. assign V816114 = V141174 - 1. assign V789006 = V212396. assign V390487 = V301164 + 1. assign V496343 = V050227. assign V907183 = V984190 - 1. assign V152031 = V324563 - 1. assign V975812 = V324563 - 1. assign V870577 = V200886 - 1. assign V853381 = V891319. assign V985894 = V292670 + 1. assign V465808 = V344099. assign V847618 = V789006. assign V940463 = V248449. assign V822338 = V223611. assign V635990 = V058983. assign V050227 = V932190. assign V200956 = V702254 + 1. assign V044904 = V310482. assign V651998 = V318990 + 1. assign V290888 = V908534. assign V301164 = V248449 + 1. assign V169618 = V239230. assign V672791 = V940463 + 1. assign V264294 = V008858. assign V967869 = V003167 - 1. assign V373059 = V248449 - 1. assign V953063 = V389842 - 1. assign V141174 = V390487. assign V785764 = V425283 + 1. assign V200886 = V200956 - 1. assign V284358 = V967869. assign V429605 = V212396 + 1. assign V702467 = V152031 - 1. assign V722226 = V310482 + 1. assign V932190 = V967869. assign V204343 = V310482. assign V535727 = V172540 + 1. assign V878936 = V266607. assign V045304 = V982919 - 1. assign V167016 = V003167. assign V288239 = V957547. assign V286987 = V324563. assign V840094 = V785764 + 1. assign V449432 = V003167 + 1. assign V310359 = V702254 + 1. assign V775907 = V003167 + 1. assign V253934 = V842907. assign V428417 = V610259. assign V178911 = V200956 - 1. assign V908534 = V310359 + 1. assign V239230 = V003167 + 1. assign V721197 = 9. assign V519881 = V967869 + 1. assign V935218 = V042157 + 1. assign V719656 = V358339 + 1. assign V087089 = V651953 - 1. assign V050464 = V967869 + 1. assign V810332 = V610259 + 1. assign V235420 = V413352 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V562353 = V058983. assign V471217 = V932190 - 1. assign V212396 = V908534 - 1. assign V082524 = V264294 + 1. assign V653245 = V288239. assign V353766 = V573723. assign V520068 = V167016. assign V340032 = V211546 - 1. assign V324550 = V982919 + 1. assign V344099 = V390487 - 1. assign V108417 = V519881. assign V003167 = V982919 - 1. assign V249486 = V425283 + 1. assign V741870 = V534944 + 1. assign V223611 = V318834 + 1. assign V984190 = V324563 - 1. assign V643337 = V024630 - 1. assign V183255 = V426854 + 1. assign V850506 = V050464 - 1. assign V666595 = V253934. assign V265885 = V672791 - 1. assign V172540 = V193027 - 1. assign V058983 = V344099. assign V389842 = V050227. assign V290029 = V552714 + 1. assign V976565 = V940463 + 1. assign V463182 = V373059 - 1. assign V623305 = V850505. assign V610259 = V248449 - 1. assign V677575 = V721197 - 1. assign V315559 = V840094 + 1. assign V765995 = V534944. assign V653828 = V940463 - 1. assign V842907 = V024630 + 1. assign V053625 = V253934. assign V292670 = V957547 + 1. assign V082091 = V290029 - 1. assign V412049 = V975812 + 1. assign V310832 = V775907 + 1. assign V567525 = V953156 + 1. assign V248449 = V167016. assign V024630 = V003167. assign V318834 = V957547. assign V042157 = V050464 - 1. assign V651953 = V358339 - 1. assign V756592 = V373059. assign V801752 = V301164. assign V530236 = V253934. assign V736464 = V984190. assign V789149 = V248449 - 1. assign V394200 = V957547 - 1. assign V383933 = V850505. assign V395941 = V520068 - 1. assign V211546 = V167016 + 1. assign V098165 = V390487. assign V688991 = V304251 + 1. assign V439887 = V982919 + 1. assign V205397 = V519881 - 1. assign V304251 = V984190. assign V413352 = V042157 + 1. assign V265775 = V775907. assign V211729 = V286987 - 1. assign V310089 = V908534 + 1. assign V318990 = V426854 + 1. assign V266607 = V449432. assign V762227 = V290888 - 1. assign V519536 = V169618. assign V520230 = V842907 - 1. assign V808146 = V449432 - 1. assign V534944 = V389842 - 1. assign V720100 = V789149 - 1. assign V506029 = V082524 - 1. assign V791009 = V292670. assign V846233 = V666595 - 1. assign V702254 = V304251. assign V449417 = V967869 + 1. assign V184774 = V318990 + 1. assign V358339 = V984190. assign V151493 = V373059 + 1. assign V439749 = V426854. assign V121262 = V290029 - 1. assign V387130 = V808146 + 1. assign V193027 = V239230 - 1. assign V953156 = V318990 - 1. assign V552714 = V167016 + 1. assign V426854 = V003167. assign V591205 = V310482. assign V906514 = V395941 - 1. assign V970568 = V449432 - 1. assign V260957 = V394200. assign V917448 = V112135. assign V343778 = V535727. assign V837122 = V172540 - 1. assign V421938 = V383933 - 1. assign V231680 = V449432 + 1. assign V317178 = V847618. assign V324563 = V520068. assign V535698 = V260957 + 1. assign V957547 = V982919 + 1. assign V498015 = V324563 + 1. assign V928349 = V211546. assign V008858 = V260957 + 1. assign V310482 = V932190 + 1. assign V425283 = V387130. assign V112135 = V850505. assign V891319 = V340032 + 1. assign V290011 = V151493 - 1. assign V850505 = V982919 + 1. assign V708060 = V151493 + 1. assign V573723 = V373059 + 1. assign V797069 = V152031 + 1. assign V435451 = V653245 + 1. assign V132351 = V775907. assign V816114 = V141174 - 1. assign V789006 = V212396. assign V390487 = V301164 + 1. assign V496343 = V050227. assign V907183 = V984190 - 1. assign V152031 = V324563 - 1. assign V975812 = V324563 - 1. assign V870577 = V200886 - 1. assign V853381 = V891319. assign V985894 = V292670 + 1. assign V465808 = V344099. assign V847618 = V789006. assign V940463 = V248449. assign V822338 = V223611. assign V635990 = V058983. assign V050227 = V932190. assign V200956 = V702254 + 1. assign V044904 = V310482. assign V651998 = V318990 + 1. assign V290888 = V908534. assign V301164 = V248449 + 1. assign V169618 = V239230. assign V672791 = V940463 + 1. assign V264294 = V008858. assign V967869 = V003167 - 1. assign V373059 = V248449 - 1. assign V953063 = V389842 - 1. assign V141174 = V390487. assign V785764 = V425283 + 1. assign V200886 = V200956 - 1. assign V284358 = V967869. assign V429605 = V212396 + 1. assign V702467 = V152031 - 1. assign V722226 = V310482 + 1. assign V932190 = V967869. assign V204343 = V310482. assign V535727 = V172540 + 1. assign V878936 = V266607. assign V045304 = V982919 - 1. assign V167016 = V003167. assign V288239 = V957547. assign V286987 = V324563. assign V840094 = V785764 + 1. assign V449432 = V003167 + 1. assign V310359 = V702254 + 1. assign V775907 = V003167 + 1. assign V253934 = V842907. assign V428417 = V610259. assign V178911 = V200956 - 1. assign V908534 = V310359 + 1. assign V239230 = V003167 + 1. assign V721197 = 9. assign V519881 = V967869 + 1. assign V935218 = V042157 + 1. assign V719656 = V358339 + 1. assign V087089 = V651953 - 1. assign V050464 = V967869 + 1. assign V810332 = V610259 + 1. assign V235420 = V413352 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV721197 = 9;\n\nFrom these direct assignment(s), we have: \nV677575 = V721197 - 1 = 9 - 1 =8;\nNo other variables can be derived from V677575;\nNo other variables can be derived from V721197;\n\nNow we have done all the calculations. Derived variables are:\nV721197 = 9;\nV677575 = 8;\n\nNow we have finished this problem. ANSWER:\nV721197\n", "role": "assistant" } ]

[ "V175566", "V009621" ]

[ { "content": "<context>\nassign V169553 = V888576 + 1. assign V855565 = V642828 + 1. assign V556095 = V488705. assign V403171 = V049332 + 1. assign V459102 = V967020 + 1. assign V227510 = V307043 + 1. assign V172807 = V844712. assign V695853 = V496080. assign V424804 = V227747. assign V108822 = V138021. assign V252521 = V825428 + 1. assign V527525 = V052990 - 1. assign V204096 = V245311 + 1. assign V852647 = V948752 + 1. assign V804108 = V172807. assign V844712 = V488705 + 1. assign V139197 = V796463. assign V038951 = V708347. assign V485718 = V613541. assign V226770 = V948752. assign V948752 = V496080 + 1. assign V723114 = V804108. assign V118642 = V579958. assign V305378 = V241705 + 1. assign V580600 = V660099. assign V207806 = V269009 - 1. assign V269009 = V408279 + 1. assign V562877 = V804108 + 1. assign V985723 = V172807 - 1. assign V967020 = V421057 + 1. assign V187798 = V497000 - 1. assign V929374 = V198156 + 1. assign V743093 = V069534 - 1. assign V679994 = V050283. assign V813305 = V258812 + 1. assign V412087 = V409216 + 1. assign V074429 = V227747 + 1. assign V779058 = V050283 + 1. assign V277678 = V804108. assign V160462 = V038951 + 1. assign V433656 = V227747. assign V491375 = V421057. assign V752683 = V138021 - 1. assign V976861 = V252521 - 1. assign V490986 = V245311. assign V492695 = V853600 - 1. assign V391867 = V845695. assign V793693 = V423470. assign V067419 = V269009 - 1. assign V090179 = V293208 - 1. assign V181459 = V496080 + 1. assign V888576 = V496080 + 1. assign V829125 = V852647 + 1. assign V272528 = V441879 + 1. assign V502582 = V817840. assign V642828 = V069534 + 1. assign V293208 = V488705. assign V138021 = V985723 - 1. assign V146049 = V021733. assign V109739 = V852647. assign V774623 = V495954. assign V769880 = V496080. assign V258812 = V725485. assign V189581 = V660099 + 1. assign V825428 = V613541 - 1. assign V069534 = V948752 - 1. assign V311440 = V963440 + 1. assign V495954 = V615468 + 1. assign V716549 = V050283 + 1. assign V378845 = V929374. assign V591903 = V491375 - 1. assign V386252 = V052990. assign V408279 = V488705 - 1. assign V660099 = V948752 - 1. assign V864151 = V813305. assign V131383 = V138054 - 1. assign V922341 = V580600 - 1. assign V278839 = V207806. assign V421057 = V378845 - 1. assign V425444 = V278839. assign V788206 = V198156 + 1. assign V520067 = V615468 - 1. assign V023098 = V929374 - 1. assign V094434 = V139197 - 1. assign V245311 = V099160. assign V234072 = V817840 - 1. assign V964156 = V844712 + 1. assign V497000 = V258812. assign V796463 = V501665 + 1. assign V560319 = V139197. assign V381315 = V779058 + 1. assign V445918 = V948752 - 1. assign V005894 = V307043 - 1. assign V223650 = V660099. assign V955071 = V804108 + 1. assign V302823 = V021733. assign V642580 = V804108. assign V948471 = V488705. assign V050283 = V660099. assign V227747 = V305378. assign V466565 = V079003 + 1. assign V720672 = V021733. assign V708347 = V948752. assign V613541 = V829125. assign V845695 = V160462 + 1. assign V241705 = V695853. assign V409216 = V491375 + 1. assign V768806 = V466565 - 1. assign V116132 = V138054 + 1. assign V198156 = V852647 - 1. assign V307043 = V948752 + 1. assign V079003 = V948471 - 1. assign V138054 = V660099. assign V008427 = V985723 - 1. assign V602784 = V560319 + 1. assign V109326 = V829125 - 1. assign V579958 = V813305. assign V563067 = V204096 - 1. assign V360083 = V278839 - 1. assign V021733 = V207806 - 1. assign V551887 = V496080 + 1. assign V175566 = 6. assign V625962 = V038951 + 1. assign V303979 = V948471 + 1. assign V172836 = V642580. assign V725485 = V290536 - 1. assign V509435 = V679994 + 1. assign V380497 = V679994. assign V423470 = V172807 - 1. assign V040787 = V545519 + 1. assign V488705 = V496080. assign V290536 = V488705 + 1. assign V914529 = V258812. assign V963440 = V844712 - 1. assign V047884 = V207806 + 1. assign V887728 = V580600 + 1. assign V856394 = V257319. assign V615468 = V423470. assign V563341 = V679994 - 1. assign V577979 = V496080 + 1. assign V099160 = V695853. assign V348995 = V067419 - 1. assign V575077 = V258812 - 1. assign V010117 = V311440 - 1. assign V513926 = V488705. assign V330212 = V307043 - 1. assign V671874 = V223650 - 1. assign V762813 = V021733 - 1. assign V858690 = V241705 - 1. assign V045405 = V963440. assign V034949 = V900917. assign V817840 = V360083. assign V257319 = V725485 - 1. assign V441879 = V067419 + 1. assign V853600 = V278839 + 1. assign V900917 = V146049 - 1. assign V049332 = V146049 - 1. assign V027332 = V723114 - 1. assign V043100 = V642580. assign V225374 = V378845 - 1. assign V491210 = V708347 + 1. assign V846505 = V752683 - 1. assign V131610 = V615468 - 1. assign V052990 = V050283 - 1. assign V350969 = V813305. assign V765341 = V099160. assign V288546 = V139197 + 1. assign V009321 = V290536 + 1. assign V009621 = V175566. assign V587030 = V491375. assign V501665 = V408279. assign V545519 = V948752 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V169553 = V888576 + 1. assign V855565 = V642828 + 1. assign V556095 = V488705. assign V403171 = V049332 + 1. assign V459102 = V967020 + 1. assign V227510 = V307043 + 1. assign V172807 = V844712. assign V695853 = V496080. assign V424804 = V227747. assign V108822 = V138021. assign V252521 = V825428 + 1. assign V527525 = V052990 - 1. assign V204096 = V245311 + 1. assign V852647 = V948752 + 1. assign V804108 = V172807. assign V844712 = V488705 + 1. assign V139197 = V796463. assign V038951 = V708347. assign V485718 = V613541. assign V226770 = V948752. assign V948752 = V496080 + 1. assign V723114 = V804108. assign V118642 = V579958. assign V305378 = V241705 + 1. assign V580600 = V660099. assign V207806 = V269009 - 1. assign V269009 = V408279 + 1. assign V562877 = V804108 + 1. assign V985723 = V172807 - 1. assign V967020 = V421057 + 1. assign V187798 = V497000 - 1. assign V929374 = V198156 + 1. assign V743093 = V069534 - 1. assign V679994 = V050283. assign V813305 = V258812 + 1. assign V412087 = V409216 + 1. assign V074429 = V227747 + 1. assign V779058 = V050283 + 1. assign V277678 = V804108. assign V160462 = V038951 + 1. assign V433656 = V227747. assign V491375 = V421057. assign V752683 = V138021 - 1. assign V976861 = V252521 - 1. assign V490986 = V245311. assign V492695 = V853600 - 1. assign V391867 = V845695. assign V793693 = V423470. assign V067419 = V269009 - 1. assign V090179 = V293208 - 1. assign V181459 = V496080 + 1. assign V888576 = V496080 + 1. assign V829125 = V852647 + 1. assign V272528 = V441879 + 1. assign V502582 = V817840. assign V642828 = V069534 + 1. assign V293208 = V488705. assign V138021 = V985723 - 1. assign V146049 = V021733. assign V109739 = V852647. assign V774623 = V495954. assign V769880 = V496080. assign V258812 = V725485. assign V189581 = V660099 + 1. assign V825428 = V613541 - 1. assign V069534 = V948752 - 1. assign V311440 = V963440 + 1. assign V495954 = V615468 + 1. assign V716549 = V050283 + 1. assign V378845 = V929374. assign V591903 = V491375 - 1. assign V386252 = V052990. assign V408279 = V488705 - 1. assign V660099 = V948752 - 1. assign V864151 = V813305. assign V131383 = V138054 - 1. assign V922341 = V580600 - 1. assign V278839 = V207806. assign V421057 = V378845 - 1. assign V425444 = V278839. assign V788206 = V198156 + 1. assign V520067 = V615468 - 1. assign V023098 = V929374 - 1. assign V094434 = V139197 - 1. assign V245311 = V099160. assign V234072 = V817840 - 1. assign V964156 = V844712 + 1. assign V497000 = V258812. assign V796463 = V501665 + 1. assign V560319 = V139197. assign V381315 = V779058 + 1. assign V445918 = V948752 - 1. assign V005894 = V307043 - 1. assign V223650 = V660099. assign V955071 = V804108 + 1. assign V302823 = V021733. assign V642580 = V804108. assign V948471 = V488705. assign V050283 = V660099. assign V227747 = V305378. assign V466565 = V079003 + 1. assign V720672 = V021733. assign V708347 = V948752. assign V613541 = V829125. assign V845695 = V160462 + 1. assign V241705 = V695853. assign V409216 = V491375 + 1. assign V768806 = V466565 - 1. assign V116132 = V138054 + 1. assign V198156 = V852647 - 1. assign V307043 = V948752 + 1. assign V079003 = V948471 - 1. assign V138054 = V660099. assign V008427 = V985723 - 1. assign V602784 = V560319 + 1. assign V109326 = V829125 - 1. assign V579958 = V813305. assign V563067 = V204096 - 1. assign V360083 = V278839 - 1. assign V021733 = V207806 - 1. assign V551887 = V496080 + 1. assign V175566 = 6. assign V625962 = V038951 + 1. assign V303979 = V948471 + 1. assign V172836 = V642580. assign V725485 = V290536 - 1. assign V509435 = V679994 + 1. assign V380497 = V679994. assign V423470 = V172807 - 1. assign V040787 = V545519 + 1. assign V488705 = V496080. assign V290536 = V488705 + 1. assign V914529 = V258812. assign V963440 = V844712 - 1. assign V047884 = V207806 + 1. assign V887728 = V580600 + 1. assign V856394 = V257319. assign V615468 = V423470. assign V563341 = V679994 - 1. assign V577979 = V496080 + 1. assign V099160 = V695853. assign V348995 = V067419 - 1. assign V575077 = V258812 - 1. assign V010117 = V311440 - 1. assign V513926 = V488705. assign V330212 = V307043 - 1. assign V671874 = V223650 - 1. assign V762813 = V021733 - 1. assign V858690 = V241705 - 1. assign V045405 = V963440. assign V034949 = V900917. assign V817840 = V360083. assign V257319 = V725485 - 1. assign V441879 = V067419 + 1. assign V853600 = V278839 + 1. assign V900917 = V146049 - 1. assign V049332 = V146049 - 1. assign V027332 = V723114 - 1. assign V043100 = V642580. assign V225374 = V378845 - 1. assign V491210 = V708347 + 1. assign V846505 = V752683 - 1. assign V131610 = V615468 - 1. assign V052990 = V050283 - 1. assign V350969 = V813305. assign V765341 = V099160. assign V288546 = V139197 + 1. assign V009321 = V290536 + 1. assign V009621 = V175566. assign V587030 = V491375. assign V501665 = V408279. assign V545519 = V948752 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV175566 = 6;\n\nFrom these direct assignment(s), we have: \nV009621 = V175566 = 6;\nNo other variables can be derived from V009621;\nNo other variables can be derived from V175566;\n\nNow we have done all the calculations. Derived variables are:\nV175566 = 6;\nV009621 = 6;\n\nNow we have finished this problem. ANSWER:\nV175566, V009621\n", "role": "assistant" } ]

[ "V868315", "V463960" ]

[ { "content": "<context>\nassign V134039 = V644661 - 1. assign V530961 = V587582 + 1. assign V899120 = V870741 - 1. assign V000326 = V152397 - 1. assign V309034 = V660758 - 1. assign V923289 = V216574 - 1. assign V296381 = V389474. assign V660758 = V847540 - 1. assign V389474 = V059642. assign V520665 = V203415 - 1. assign V015157 = V134511 + 1. assign V676336 = V407068. assign V134511 = V776906 - 1. assign V707424 = V488675 + 1. assign V895424 = V798164 + 1. assign V587582 = V798164 + 1. assign V914506 = V644661 + 1. assign V954308 = V000326 + 1. assign V529856 = V906851. assign V689890 = V877435 + 1. assign V862702 = V501330 + 1. assign V257367 = V091933 + 1. assign V994699 = V709674 - 1. assign V709840 = V877435 + 1. assign V059642 = V994699 + 1. assign V903441 = V786250. assign V957426 = V091933 + 1. assign V629459 = V862702. assign V438107 = V273790. assign V445041 = V273790 - 1. assign V269333 = V709674 + 1. assign V655476 = V870741 + 1. assign V366731 = V798164 + 1. assign V273790 = V208437 + 1. assign V233636 = V644661. assign V463960 = V868315. assign V313739 = V364236. assign V952068 = V244597 + 1. assign V786250 = V269567 - 1. assign V664138 = V714582 + 1. assign V159378 = V411999 + 1. assign V657721 = V877435. assign V902783 = V411999. assign V723781 = V978727 + 1. assign V203415 = V633000. assign V633000 = V906851. assign V025774 = V015157. assign V668337 = V368233. assign V714582 = V655476 + 1. assign V208437 = V709674 + 1. assign V101884 = V450779 - 1. assign V798164 = V644661 + 1. assign V092324 = V906851. assign V091933 = V968514 - 1. assign V445371 = V411999. assign V906851 = V758299 - 1. assign V526135 = V000326 - 1. assign V749594 = V847410 + 1. assign V865862 = V364236. assign V968514 = V233636 - 1. assign V868315 = 2. assign V603137 = V660758 - 1. assign V877435 = V233636 - 1. assign V995823 = V209585 - 1. assign V370541 = V584669 - 1. assign V130507 = V074557 + 1. assign V694926 = V037089. assign V858869 = V660758 + 1. assign V700460 = V847540 - 1. assign V267287 = V152397 + 1. assign V802092 = V918033 - 1. assign V774995 = V951334 + 1. assign V409881 = V445041 + 1. assign V880418 = V712508 - 1. assign V486863 = V822551 + 1. assign V285129 = V644661. assign V037089 = V364236 + 1. assign V180114 = V847540 - 1. assign V244597 = V134511 + 1. assign V978727 = V870741 + 1. assign V506874 = V078560 - 1. assign V921763 = V994699 + 1. assign V511208 = V257367. assign V288030 = V486863 - 1. assign V732829 = V389474 + 1. assign V709674 = V936023 - 1. assign V407068 = V921763 + 1. assign V005689 = V978727 - 1. assign V216574 = V709674 + 1. assign V918033 = V309034 - 1. assign V051479 = V364236 + 1. assign V234877 = V657721 + 1. assign V152397 = V644661. assign V697756 = V676336 - 1. assign V649255 = V845976 - 1. assign V209585 = V936023. assign V758299 = V233636. assign V488675 = V870741 - 1. assign V074557 = V655476. assign V482657 = V208648. assign V330271 = V005689 + 1. assign V368233 = V709840 + 1. assign V171669 = V364236. assign V803175 = V820104. assign V982090 = V234877. assign V847410 = V233636 - 1. assign V215403 = V928908. assign V131578 = V015157 + 1. assign V637026 = V776906 - 1. assign V151624 = V700460 + 1. assign V455837 = V244597. assign V584669 = V101884 + 1. assign V164957 = V424868 + 1. assign V118831 = V152397 - 1. assign V281075 = V294089. assign V080918 = V918033 - 1. assign V218397 = V978727. assign V650940 = V511208 - 1. assign V208648 = V709674 - 1. assign V144447 = V928908 - 1. assign V928908 = V233636. assign V009684 = V203415. assign V822551 = V906851 - 1. assign V870741 = V366731 + 1. assign V501330 = V968514 + 1. assign V718570 = V045066 + 1. assign V847540 = V709674 - 1. assign V845976 = V486863 - 1. assign V238236 = V968514 - 1. assign V459155 = V502719. assign V649327 = V208648. assign V936023 = V798164 - 1. assign V718657 = V921763 - 1. assign V869259 = V526135 - 1. assign V558864 = V700460 - 1. assign V820104 = V981969 - 1. assign V714869 = V712508 + 1. assign V609391 = V226209. assign V078560 = V870741 - 1. assign V951334 = V488675 + 1. assign V696402 = V644661 - 1. assign V863595 = V203415 + 1. assign V272040 = V978727 + 1. assign V173138 = V928908 + 1. assign V093785 = V502719 + 1. assign V884234 = V714869 + 1. assign V484270 = V696402 + 1. assign V450779 = V655476. assign V644459 = V450779 - 1. assign V317113 = V273790 + 1. assign V996200 = V657721 + 1. assign V342632 = V637026. assign V598333 = V005689 + 1. assign V219122 = V700460 - 1. assign V736735 = V091933 - 1. assign V981969 = V655476 - 1. assign V588380 = V723781 - 1. assign V294089 = V459155 - 1. assign V502719 = V709674 + 1. assign V776906 = V366731 + 1. assign V411999 = V709674. assign V095903 = V786250 - 1. assign V226209 = V364236. assign V462038 = V257367. assign V424868 = V978727 + 1. assign V045066 = V529856 + 1. assign V269567 = V696402 + 1. assign V389318 = V173138 - 1. assign V216990 = V364236. assign V364236 = V209585 - 1. assign V403237 = V234877 + 1. assign V712508 = V209585.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V134039 = V644661 - 1. assign V530961 = V587582 + 1. assign V899120 = V870741 - 1. assign V000326 = V152397 - 1. assign V309034 = V660758 - 1. assign V923289 = V216574 - 1. assign V296381 = V389474. assign V660758 = V847540 - 1. assign V389474 = V059642. assign V520665 = V203415 - 1. assign V015157 = V134511 + 1. assign V676336 = V407068. assign V134511 = V776906 - 1. assign V707424 = V488675 + 1. assign V895424 = V798164 + 1. assign V587582 = V798164 + 1. assign V914506 = V644661 + 1. assign V954308 = V000326 + 1. assign V529856 = V906851. assign V689890 = V877435 + 1. assign V862702 = V501330 + 1. assign V257367 = V091933 + 1. assign V994699 = V709674 - 1. assign V709840 = V877435 + 1. assign V059642 = V994699 + 1. assign V903441 = V786250. assign V957426 = V091933 + 1. assign V629459 = V862702. assign V438107 = V273790. assign V445041 = V273790 - 1. assign V269333 = V709674 + 1. assign V655476 = V870741 + 1. assign V366731 = V798164 + 1. assign V273790 = V208437 + 1. assign V233636 = V644661. assign V463960 = V868315. assign V313739 = V364236. assign V952068 = V244597 + 1. assign V786250 = V269567 - 1. assign V664138 = V714582 + 1. assign V159378 = V411999 + 1. assign V657721 = V877435. assign V902783 = V411999. assign V723781 = V978727 + 1. assign V203415 = V633000. assign V633000 = V906851. assign V025774 = V015157. assign V668337 = V368233. assign V714582 = V655476 + 1. assign V208437 = V709674 + 1. assign V101884 = V450779 - 1. assign V798164 = V644661 + 1. assign V092324 = V906851. assign V091933 = V968514 - 1. assign V445371 = V411999. assign V906851 = V758299 - 1. assign V526135 = V000326 - 1. assign V749594 = V847410 + 1. assign V865862 = V364236. assign V968514 = V233636 - 1. assign V868315 = 2. assign V603137 = V660758 - 1. assign V877435 = V233636 - 1. assign V995823 = V209585 - 1. assign V370541 = V584669 - 1. assign V130507 = V074557 + 1. assign V694926 = V037089. assign V858869 = V660758 + 1. assign V700460 = V847540 - 1. assign V267287 = V152397 + 1. assign V802092 = V918033 - 1. assign V774995 = V951334 + 1. assign V409881 = V445041 + 1. assign V880418 = V712508 - 1. assign V486863 = V822551 + 1. assign V285129 = V644661. assign V037089 = V364236 + 1. assign V180114 = V847540 - 1. assign V244597 = V134511 + 1. assign V978727 = V870741 + 1. assign V506874 = V078560 - 1. assign V921763 = V994699 + 1. assign V511208 = V257367. assign V288030 = V486863 - 1. assign V732829 = V389474 + 1. assign V709674 = V936023 - 1. assign V407068 = V921763 + 1. assign V005689 = V978727 - 1. assign V216574 = V709674 + 1. assign V918033 = V309034 - 1. assign V051479 = V364236 + 1. assign V234877 = V657721 + 1. assign V152397 = V644661. assign V697756 = V676336 - 1. assign V649255 = V845976 - 1. assign V209585 = V936023. assign V758299 = V233636. assign V488675 = V870741 - 1. assign V074557 = V655476. assign V482657 = V208648. assign V330271 = V005689 + 1. assign V368233 = V709840 + 1. assign V171669 = V364236. assign V803175 = V820104. assign V982090 = V234877. assign V847410 = V233636 - 1. assign V215403 = V928908. assign V131578 = V015157 + 1. assign V637026 = V776906 - 1. assign V151624 = V700460 + 1. assign V455837 = V244597. assign V584669 = V101884 + 1. assign V164957 = V424868 + 1. assign V118831 = V152397 - 1. assign V281075 = V294089. assign V080918 = V918033 - 1. assign V218397 = V978727. assign V650940 = V511208 - 1. assign V208648 = V709674 - 1. assign V144447 = V928908 - 1. assign V928908 = V233636. assign V009684 = V203415. assign V822551 = V906851 - 1. assign V870741 = V366731 + 1. assign V501330 = V968514 + 1. assign V718570 = V045066 + 1. assign V847540 = V709674 - 1. assign V845976 = V486863 - 1. assign V238236 = V968514 - 1. assign V459155 = V502719. assign V649327 = V208648. assign V936023 = V798164 - 1. assign V718657 = V921763 - 1. assign V869259 = V526135 - 1. assign V558864 = V700460 - 1. assign V820104 = V981969 - 1. assign V714869 = V712508 + 1. assign V609391 = V226209. assign V078560 = V870741 - 1. assign V951334 = V488675 + 1. assign V696402 = V644661 - 1. assign V863595 = V203415 + 1. assign V272040 = V978727 + 1. assign V173138 = V928908 + 1. assign V093785 = V502719 + 1. assign V884234 = V714869 + 1. assign V484270 = V696402 + 1. assign V450779 = V655476. assign V644459 = V450779 - 1. assign V317113 = V273790 + 1. assign V996200 = V657721 + 1. assign V342632 = V637026. assign V598333 = V005689 + 1. assign V219122 = V700460 - 1. assign V736735 = V091933 - 1. assign V981969 = V655476 - 1. assign V588380 = V723781 - 1. assign V294089 = V459155 - 1. assign V502719 = V709674 + 1. assign V776906 = V366731 + 1. assign V411999 = V709674. assign V095903 = V786250 - 1. assign V226209 = V364236. assign V462038 = V257367. assign V424868 = V978727 + 1. assign V045066 = V529856 + 1. assign V269567 = V696402 + 1. assign V389318 = V173138 - 1. assign V216990 = V364236. assign V364236 = V209585 - 1. assign V403237 = V234877 + 1. assign V712508 = V209585.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV868315 = 2;\n\nFrom these direct assignment(s), we have: \nV463960 = V868315 = 2;\nNo other variables can be derived from V463960;\nNo other variables can be derived from V868315;\n\nNow we have done all the calculations. Derived variables are:\nV868315 = 2;\nV463960 = 2;\n\nNow we have finished this problem. ANSWER:\nV868315, V463960\n", "role": "assistant" } ]

[ "V610233" ]

[ { "content": "<context>\nassign V095427 = V406711. assign V464508 = V455117. assign V077285 = V733621. assign V753573 = V649332. assign V214461 = V154056. assign V470479 = V833976 + 1. assign V632213 = V451950 + 1. assign V182865 = V176018. assign V117378 = V156275 + 1. assign V421601 = 5. assign V970626 = V833976. assign V827338 = V756217 - 1. assign V438098 = V459835 - 1. assign V599914 = V865328. assign V953114 = V082571. assign V650320 = V341918 + 1. assign V952805 = V346422. assign V449570 = V160427. assign V367341 = V733621 - 1. assign V707343 = V372597 - 1. assign V727518 = V650416. assign V184307 = V588731. assign V695636 = V833976 - 1. assign V930712 = V970626 + 1. assign V492928 = V117378 - 1. assign V741225 = V810162 - 1. assign V108102 = V248647. assign V252611 = V472683 - 1. assign V629005 = V756217 + 1. assign V342984 = V362157 - 1. assign V184004 = V827338 + 1. assign V792517 = V285406. assign V342319 = V700803 - 1. assign V588454 = V077285 + 1. assign V312366 = V005907. assign V056010 = V470479. assign V720328 = V824091. assign V426052 = V872012. assign V579633 = V952805 - 1. assign V018798 = V099982. assign V872012 = V346422 + 1. assign V459835 = V600504 + 1. assign V252661 = V372597 - 1. assign V581499 = V736116. assign V442022 = V556080 + 1. assign V824092 = V707343 + 1. assign V082571 = V774098 + 1. assign V137099 = V514975 - 1. assign V237129 = V774098. assign V392029 = V598824. assign V649332 = V619908 - 1. assign V735235 = V071424. assign V361087 = V028180 + 1. assign V292779 = V083874 - 1. assign V756401 = V312366 - 1. assign V882491 = V252661. assign V841737 = V108102 - 1. assign V299155 = V547808 + 1. assign V691086 = V346422. assign V558142 = V470479. assign V927187 = V248647. assign V273835 = V015090. assign V089293 = V514975. assign V069806 = V464508 - 1. assign V899646 = V718646 - 1. assign V735980 = V417547. assign V596753 = V865328 - 1. assign V706036 = V018878 - 1. assign V588731 = V246534 - 1. assign V049274 = V018798 - 1. assign V169837 = V392029. assign V419855 = V325399. assign V362157 = V720328 + 1. assign V718646 = V865328 + 1. assign V650416 = V649332. assign V374772 = V451950. assign V977142 = V774006. assign V833976 = V952805. assign V071424 = V237129 + 1. assign V436950 = V735235. assign V372597 = V774098 - 1. assign V824091 = V753573 + 1. assign V305085 = V514975. assign V160427 = V346422 + 1. assign V149540 = V160427 - 1. assign V285406 = V619908 + 1. assign V403419 = V455117. assign V547808 = V417547 + 1. assign V939384 = V455117. assign V922533 = V514975 - 1. assign V556080 = V392029. assign V774006 = V372597 - 1. assign V618108 = V271210 - 1. assign V245114 = V827338 - 1. assign V893256 = V695636 - 1. assign V619908 = V346422. assign V451950 = V455117. assign V326149 = V760948 + 1. assign V629968 = V273835 + 1. assign V717353 = V557791 - 1. assign V600504 = V649332. assign V810162 = V265625 - 1. assign V246534 = V952805 + 1. assign V865328 = V735980. assign V965608 = V649332. assign V808755 = V784143 - 1. assign V254786 = V325399 + 1. assign V472683 = V619908. assign V514975 = V649332. assign V774098 = V248647 + 1. assign V176018 = V827338 - 1. assign V160622 = V922533 + 1. assign V543716 = V588731. assign V015090 = V248647. assign V054154 = V374772. assign V760948 = V514975 - 1. assign V083874 = V774098. assign V325399 = V629005. assign V138350 = V514975 + 1. assign V265625 = V472683 + 1. assign V455117 = V346422 + 1. assign V598824 = V451950. assign V417547 = V965608. assign V610233 = V421601 - 1. assign V688100 = V069806. assign V711249 = V346422. assign V203547 = V372597. assign V700803 = V018878 + 1. assign V048560 = V727518. assign V679432 = V117378. assign V028180 = V156275 + 1. assign V227066 = V028180 - 1. assign V451612 = V844200 - 1. assign V156275 = V108102. assign V271210 = V154056 + 1. assign V077059 = V514975. assign V317305 = V149540 + 1. assign V227711 = V326149 + 1. assign V784143 = V977142 + 1. assign V062435 = V872012 - 1. assign V350622 = V753573 - 1. assign V501786 = V824091 - 1. assign V673445 = V888862. assign V844200 = V455117. assign V099982 = V451950 - 1. assign V628937 = V392029 + 1. assign V733621 = V160427. assign V722772 = V199773 + 1. assign V483886 = V844200 - 1. assign V520939 = V833976. assign V017561 = V054154 + 1. assign V018878 = V650416. assign V472272 = V392029. assign V118950 = V176018 + 1. assign V199773 = V824091 + 1. assign V094607 = V149540. assign V019415 = V598824 - 1. assign V801773 = V464508. assign V594178 = V952805 + 1. assign V971691 = V062435 - 1. assign V989336 = V629005. assign V756217 = V872012 + 1. assign V557791 = V470479 - 1. assign V341918 = V417547 + 1. assign V237867 = V619908. assign V406711 = V888862. assign V154056 = V464508. assign V999910 = V245114 - 1. assign V005907 = V927187 - 1. assign V888862 = V108102 + 1. assign V736116 = V245114. assign V248647 = V346422 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V095427 = V406711. assign V464508 = V455117. assign V077285 = V733621. assign V753573 = V649332. assign V214461 = V154056. assign V470479 = V833976 + 1. assign V632213 = V451950 + 1. assign V182865 = V176018. assign V117378 = V156275 + 1. assign V421601 = 5. assign V970626 = V833976. assign V827338 = V756217 - 1. assign V438098 = V459835 - 1. assign V599914 = V865328. assign V953114 = V082571. assign V650320 = V341918 + 1. assign V952805 = V346422. assign V449570 = V160427. assign V367341 = V733621 - 1. assign V707343 = V372597 - 1. assign V727518 = V650416. assign V184307 = V588731. assign V695636 = V833976 - 1. assign V930712 = V970626 + 1. assign V492928 = V117378 - 1. assign V741225 = V810162 - 1. assign V108102 = V248647. assign V252611 = V472683 - 1. assign V629005 = V756217 + 1. assign V342984 = V362157 - 1. assign V184004 = V827338 + 1. assign V792517 = V285406. assign V342319 = V700803 - 1. assign V588454 = V077285 + 1. assign V312366 = V005907. assign V056010 = V470479. assign V720328 = V824091. assign V426052 = V872012. assign V579633 = V952805 - 1. assign V018798 = V099982. assign V872012 = V346422 + 1. assign V459835 = V600504 + 1. assign V252661 = V372597 - 1. assign V581499 = V736116. assign V442022 = V556080 + 1. assign V824092 = V707343 + 1. assign V082571 = V774098 + 1. assign V137099 = V514975 - 1. assign V237129 = V774098. assign V392029 = V598824. assign V649332 = V619908 - 1. assign V735235 = V071424. assign V361087 = V028180 + 1. assign V292779 = V083874 - 1. assign V756401 = V312366 - 1. assign V882491 = V252661. assign V841737 = V108102 - 1. assign V299155 = V547808 + 1. assign V691086 = V346422. assign V558142 = V470479. assign V927187 = V248647. assign V273835 = V015090. assign V089293 = V514975. assign V069806 = V464508 - 1. assign V899646 = V718646 - 1. assign V735980 = V417547. assign V596753 = V865328 - 1. assign V706036 = V018878 - 1. assign V588731 = V246534 - 1. assign V049274 = V018798 - 1. assign V169837 = V392029. assign V419855 = V325399. assign V362157 = V720328 + 1. assign V718646 = V865328 + 1. assign V650416 = V649332. assign V374772 = V451950. assign V977142 = V774006. assign V833976 = V952805. assign V071424 = V237129 + 1. assign V436950 = V735235. assign V372597 = V774098 - 1. assign V824091 = V753573 + 1. assign V305085 = V514975. assign V160427 = V346422 + 1. assign V149540 = V160427 - 1. assign V285406 = V619908 + 1. assign V403419 = V455117. assign V547808 = V417547 + 1. assign V939384 = V455117. assign V922533 = V514975 - 1. assign V556080 = V392029. assign V774006 = V372597 - 1. assign V618108 = V271210 - 1. assign V245114 = V827338 - 1. assign V893256 = V695636 - 1. assign V619908 = V346422. assign V451950 = V455117. assign V326149 = V760948 + 1. assign V629968 = V273835 + 1. assign V717353 = V557791 - 1. assign V600504 = V649332. assign V810162 = V265625 - 1. assign V246534 = V952805 + 1. assign V865328 = V735980. assign V965608 = V649332. assign V808755 = V784143 - 1. assign V254786 = V325399 + 1. assign V472683 = V619908. assign V514975 = V649332. assign V774098 = V248647 + 1. assign V176018 = V827338 - 1. assign V160622 = V922533 + 1. assign V543716 = V588731. assign V015090 = V248647. assign V054154 = V374772. assign V760948 = V514975 - 1. assign V083874 = V774098. assign V325399 = V629005. assign V138350 = V514975 + 1. assign V265625 = V472683 + 1. assign V455117 = V346422 + 1. assign V598824 = V451950. assign V417547 = V965608. assign V610233 = V421601 - 1. assign V688100 = V069806. assign V711249 = V346422. assign V203547 = V372597. assign V700803 = V018878 + 1. assign V048560 = V727518. assign V679432 = V117378. assign V028180 = V156275 + 1. assign V227066 = V028180 - 1. assign V451612 = V844200 - 1. assign V156275 = V108102. assign V271210 = V154056 + 1. assign V077059 = V514975. assign V317305 = V149540 + 1. assign V227711 = V326149 + 1. assign V784143 = V977142 + 1. assign V062435 = V872012 - 1. assign V350622 = V753573 - 1. assign V501786 = V824091 - 1. assign V673445 = V888862. assign V844200 = V455117. assign V099982 = V451950 - 1. assign V628937 = V392029 + 1. assign V733621 = V160427. assign V722772 = V199773 + 1. assign V483886 = V844200 - 1. assign V520939 = V833976. assign V017561 = V054154 + 1. assign V018878 = V650416. assign V472272 = V392029. assign V118950 = V176018 + 1. assign V199773 = V824091 + 1. assign V094607 = V149540. assign V019415 = V598824 - 1. assign V801773 = V464508. assign V594178 = V952805 + 1. assign V971691 = V062435 - 1. assign V989336 = V629005. assign V756217 = V872012 + 1. assign V557791 = V470479 - 1. assign V341918 = V417547 + 1. assign V237867 = V619908. assign V406711 = V888862. assign V154056 = V464508. assign V999910 = V245114 - 1. assign V005907 = V927187 - 1. assign V888862 = V108102 + 1. assign V736116 = V245114. assign V248647 = V346422 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV421601 = 5;\n\nFrom these direct assignment(s), we have: \nV610233 = V421601 - 1 = 5 - 1 =4;\nNo other variables can be derived from V610233;\nNo other variables can be derived from V421601;\n\nNow we have done all the calculations. Derived variables are:\nV421601 = 5;\nV610233 = 4;\n\nNow we have finished this problem. ANSWER:\nV610233\n", "role": "assistant" } ]

[ "V722546", "V726377" ]

[ { "content": "<context>\nassign V749846 = V535882 + 1. assign V974598 = V265375 - 1. assign V340577 = V971518 - 1. assign V772726 = V626141 + 1. assign V794625 = V296999. assign V724976 = V105254 - 1. assign V761131 = V516052 + 1. assign V682435 = V340577. assign V738156 = V202645 - 1. assign V459640 = V664962. assign V640019 = V841228. assign V810059 = V633114. assign V178133 = V324219. assign V265375 = V296999 - 1. assign V969449 = V105254 - 1. assign V594490 = V547213 - 1. assign V934426 = V170167 - 1. assign V091249 = V235725 + 1. assign V264131 = V456978. assign V258537 = V604390 + 1. assign V981469 = V749846. assign V453239 = V535882. assign V361224 = V091249 + 1. assign V279070 = V638381 - 1. assign V309255 = V548732. assign V626645 = V213681. assign V456447 = V213681. assign V313285 = V956169. assign V396435 = V334608 - 1. assign V703283 = V309255 + 1. assign V339029 = V105254. assign V513536 = V293277. assign V459459 = V438399 - 1. assign V491011 = V438399 + 1. assign V607041 = V575509 - 1. assign V261190 = V544452 + 1. assign V368987 = V535882 - 1. assign V002653 = V645516 + 1. assign V914336 = V915847 + 1. assign V520682 = V535882 - 1. assign V108357 = V363744 - 1. assign V841228 = V438399. assign V106976 = V364437 - 1. assign V374910 = V575509 - 1. assign V720426 = V724976. assign V999412 = V313285. assign V664962 = V106976 + 1. assign V638381 = V724976 - 1. assign V456978 = V680807 + 1. assign V019366 = V066796 + 1. assign V547213 = V724976 + 1. assign V170167 = V946579. assign V669387 = V361224 + 1. assign V364437 = V604390 - 1. assign V083486 = V789373. assign V680807 = V258537. assign V971518 = V547213 + 1. assign V700669 = V438399. assign V382020 = V486524. assign V006979 = V491011 - 1. assign V623903 = V600082 - 1. assign V770409 = V547213 + 1. assign V266000 = V626645. assign V879014 = V185217 + 1. assign V959944 = V547213 - 1. assign V544452 = V459459 + 1. assign V596866 = V340577 - 1. assign V535051 = V107034. assign V065141 = V471603 - 1. assign V342241 = V461105. assign V840094 = V640019 + 1. assign V325360 = V459459 - 1. assign V354991 = V828008. assign V235725 = V363744. assign V325079 = V946094 + 1. assign V003186 = V895625 - 1. assign V808100 = V749846. assign V107034 = V872149. assign V969474 = V340577 + 1. assign V624618 = V841228 + 1. assign V840016 = V638381. assign V828008 = V309255. assign V114654 = V152338 + 1. assign V486524 = V969449. assign V956169 = V680074 - 1. assign V311928 = V334608 + 1. assign V575509 = V724976 + 1. assign V202645 = V547213 + 1. assign V946579 = V438399 + 1. assign V296999 = V724976 - 1. assign V879891 = V105254 + 1. assign V803152 = V264131. assign V117110 = V999121. assign V514895 = V108357 + 1. assign V461105 = V575509. assign V706062 = V895625. assign V732192 = V937739 + 1. assign V600082 = V575509 - 1. assign V789373 = V105254. assign V348473 = V979757. assign V895625 = V456447. assign V293277 = V091249. assign V872149 = V293277 + 1. assign V892363 = V311928 - 1. assign V901594 = V461105 + 1. assign V013169 = V066796. assign V101669 = V279070 + 1. assign V231181 = V325360. assign V876074 = V596866 + 1. assign V435432 = V105254 + 1. assign V604390 = V105254. assign V749088 = V107034. assign V529684 = V711374. assign V913506 = V543505. assign V838836 = V761131 - 1. assign V986831 = V626141 + 1. assign V185217 = V438399. assign V848457 = V969449 - 1. assign V605067 = V516052. assign V022420 = V364437 - 1. assign V895286 = V165440 + 1. assign V106599 = V426344 + 1. assign V203681 = V255832 - 1. assign V471603 = V669387. assign V159707 = V789373 - 1. assign V260926 = V066796 + 1. assign V508805 = V979757. assign V979757 = V456447 + 1. assign V946094 = V937739. assign V255832 = V841228 - 1. assign V165440 = V604390 + 1. assign V969275 = V946094 - 1. assign V334608 = V548732 - 1. assign V119794 = V986831 + 1. assign V711374 = V772726. assign V820636 = V700669. assign V626892 = V459459. assign V726377 = V722546. assign V426344 = V438399 - 1. assign V599099 = V165440 - 1. assign V913004 = V795158 - 1. assign V205302 = V879891 + 1. assign V209388 = V152338 - 1. assign V903617 = V374910. assign V046787 = V165440 + 1. assign V626141 = V535882 - 1. assign V543505 = V296999 - 1. assign V152338 = V185217 - 1. assign V501499 = V848457. assign V633114 = V459459 + 1. assign V208806 = V296999 + 1. assign V937739 = V594490. assign V999121 = V022420 - 1. assign V887577 = V265375. assign V548732 = V547213 + 1. assign V068210 = V974598. assign V535882 = V594490. assign V645516 = V956169 + 1. assign V680074 = V208806 - 1. assign V930719 = V626141 + 1. assign V516052 = V091249 + 1. assign V795158 = V895625 - 1. assign V066796 = V946579 - 1. assign V368140 = V459640 + 1. assign V722546 = 1. assign V915847 = V605067 - 1. assign V324219 = V513536. assign V363744 = V724976. assign V946857 = V547213 + 1. assign V213681 = V724976 + 1. assign V546865 = V255832 + 1. assign V438399 = V604390.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V749846 = V535882 + 1. assign V974598 = V265375 - 1. assign V340577 = V971518 - 1. assign V772726 = V626141 + 1. assign V794625 = V296999. assign V724976 = V105254 - 1. assign V761131 = V516052 + 1. assign V682435 = V340577. assign V738156 = V202645 - 1. assign V459640 = V664962. assign V640019 = V841228. assign V810059 = V633114. assign V178133 = V324219. assign V265375 = V296999 - 1. assign V969449 = V105254 - 1. assign V594490 = V547213 - 1. assign V934426 = V170167 - 1. assign V091249 = V235725 + 1. assign V264131 = V456978. assign V258537 = V604390 + 1. assign V981469 = V749846. assign V453239 = V535882. assign V361224 = V091249 + 1. assign V279070 = V638381 - 1. assign V309255 = V548732. assign V626645 = V213681. assign V456447 = V213681. assign V313285 = V956169. assign V396435 = V334608 - 1. assign V703283 = V309255 + 1. assign V339029 = V105254. assign V513536 = V293277. assign V459459 = V438399 - 1. assign V491011 = V438399 + 1. assign V607041 = V575509 - 1. assign V261190 = V544452 + 1. assign V368987 = V535882 - 1. assign V002653 = V645516 + 1. assign V914336 = V915847 + 1. assign V520682 = V535882 - 1. assign V108357 = V363744 - 1. assign V841228 = V438399. assign V106976 = V364437 - 1. assign V374910 = V575509 - 1. assign V720426 = V724976. assign V999412 = V313285. assign V664962 = V106976 + 1. assign V638381 = V724976 - 1. assign V456978 = V680807 + 1. assign V019366 = V066796 + 1. assign V547213 = V724976 + 1. assign V170167 = V946579. assign V669387 = V361224 + 1. assign V364437 = V604390 - 1. assign V083486 = V789373. assign V680807 = V258537. assign V971518 = V547213 + 1. assign V700669 = V438399. assign V382020 = V486524. assign V006979 = V491011 - 1. assign V623903 = V600082 - 1. assign V770409 = V547213 + 1. assign V266000 = V626645. assign V879014 = V185217 + 1. assign V959944 = V547213 - 1. assign V544452 = V459459 + 1. assign V596866 = V340577 - 1. assign V535051 = V107034. assign V065141 = V471603 - 1. assign V342241 = V461105. assign V840094 = V640019 + 1. assign V325360 = V459459 - 1. assign V354991 = V828008. assign V235725 = V363744. assign V325079 = V946094 + 1. assign V003186 = V895625 - 1. assign V808100 = V749846. assign V107034 = V872149. assign V969474 = V340577 + 1. assign V624618 = V841228 + 1. assign V840016 = V638381. assign V828008 = V309255. assign V114654 = V152338 + 1. assign V486524 = V969449. assign V956169 = V680074 - 1. assign V311928 = V334608 + 1. assign V575509 = V724976 + 1. assign V202645 = V547213 + 1. assign V946579 = V438399 + 1. assign V296999 = V724976 - 1. assign V879891 = V105254 + 1. assign V803152 = V264131. assign V117110 = V999121. assign V514895 = V108357 + 1. assign V461105 = V575509. assign V706062 = V895625. assign V732192 = V937739 + 1. assign V600082 = V575509 - 1. assign V789373 = V105254. assign V348473 = V979757. assign V895625 = V456447. assign V293277 = V091249. assign V872149 = V293277 + 1. assign V892363 = V311928 - 1. assign V901594 = V461105 + 1. assign V013169 = V066796. assign V101669 = V279070 + 1. assign V231181 = V325360. assign V876074 = V596866 + 1. assign V435432 = V105254 + 1. assign V604390 = V105254. assign V749088 = V107034. assign V529684 = V711374. assign V913506 = V543505. assign V838836 = V761131 - 1. assign V986831 = V626141 + 1. assign V185217 = V438399. assign V848457 = V969449 - 1. assign V605067 = V516052. assign V022420 = V364437 - 1. assign V895286 = V165440 + 1. assign V106599 = V426344 + 1. assign V203681 = V255832 - 1. assign V471603 = V669387. assign V159707 = V789373 - 1. assign V260926 = V066796 + 1. assign V508805 = V979757. assign V979757 = V456447 + 1. assign V946094 = V937739. assign V255832 = V841228 - 1. assign V165440 = V604390 + 1. assign V969275 = V946094 - 1. assign V334608 = V548732 - 1. assign V119794 = V986831 + 1. assign V711374 = V772726. assign V820636 = V700669. assign V626892 = V459459. assign V726377 = V722546. assign V426344 = V438399 - 1. assign V599099 = V165440 - 1. assign V913004 = V795158 - 1. assign V205302 = V879891 + 1. assign V209388 = V152338 - 1. assign V903617 = V374910. assign V046787 = V165440 + 1. assign V626141 = V535882 - 1. assign V543505 = V296999 - 1. assign V152338 = V185217 - 1. assign V501499 = V848457. assign V633114 = V459459 + 1. assign V208806 = V296999 + 1. assign V937739 = V594490. assign V999121 = V022420 - 1. assign V887577 = V265375. assign V548732 = V547213 + 1. assign V068210 = V974598. assign V535882 = V594490. assign V645516 = V956169 + 1. assign V680074 = V208806 - 1. assign V930719 = V626141 + 1. assign V516052 = V091249 + 1. assign V795158 = V895625 - 1. assign V066796 = V946579 - 1. assign V368140 = V459640 + 1. assign V722546 = 1. assign V915847 = V605067 - 1. assign V324219 = V513536. assign V363744 = V724976. assign V946857 = V547213 + 1. assign V213681 = V724976 + 1. assign V546865 = V255832 + 1. assign V438399 = V604390.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV722546 = 1;\n\nFrom these direct assignment(s), we have: \nV726377 = V722546 = 1;\nNo other variables can be derived from V726377;\nNo other variables can be derived from V722546;\n\nNow we have done all the calculations. Derived variables are:\nV722546 = 1;\nV726377 = 1;\n\nNow we have finished this problem. ANSWER:\nV722546, V726377\n", "role": "assistant" } ]

[ "V415772" ]

[ { "content": "<context>\nassign V351483 = V218137 + 1. assign V062611 = V374338 - 1. assign V566526 = V365947 - 1. assign V295569 = V586233 + 1. assign V020674 = V499328. assign V365465 = V218137 + 1. assign V646089 = V735973 - 1. assign V808574 = V480346 - 1. assign V985003 = V147064 - 1. assign V425465 = V257059. assign V586233 = V743048 + 1. assign V327562 = V116770 - 1. assign V478538 = V654700. assign V376708 = V236100. assign V239242 = V680303. assign V745734 = V509600 - 1. assign V174830 = V680303. assign V280883 = V743048. assign V779479 = V961242 + 1. assign V654700 = V295569 - 1. assign V213452 = V397310 - 1. assign V852224 = V480346. assign V326705 = V422956 + 1. assign V738472 = V630872 - 1. assign V671576 = V089826 + 1. assign V743048 = V499328. assign V078537 = V292092 - 1. assign V822504 = V490010. assign V897700 = V397310 - 1. assign V308736 = V480346 + 1. assign V749638 = V302644 - 1. assign V284953 = V813612. assign V872491 = V404697. assign V508770 = V295569 - 1. assign V543873 = V257059 - 1. assign V099297 = V189381 - 1. assign V813612 = V056465 + 1. assign V227495 = V768034 + 1. assign V295419 = V395280 - 1. assign V601201 = V129104. assign V851544 = V056465 - 1. assign V698300 = V478538. assign V422956 = V480346 - 1. assign V121653 = V313662. assign V237899 = V961242. assign V754038 = V295569. assign V750540 = V573809. assign V490010 = V499328 + 1. assign V602665 = V189381 - 1. assign V524515 = V779479. assign V555369 = V020674. assign V393049 = V654700. assign V509537 = V844388 + 1. assign V126928 = V124428 - 1. assign V039243 = V020674 + 1. assign V818306 = V351483 + 1. assign V862500 = V586233. assign V125447 = V174830 - 1. assign V651301 = V404697 + 1. assign V789733 = V766614 - 1. assign V657136 = V062611 + 1. assign V617302 = V961242 - 1. assign V801408 = V897700 + 1. assign V239674 = V555369. assign V648259 = V264917 - 1. assign V422875 = V346989. assign V362864 = V308736 - 1. assign V129133 = V680303. assign V126752 = V932361 + 1. assign V124428 = V374338 - 1. assign V499528 = V061217. assign V980114 = V963238 + 1. assign V581180 = V801408. assign V296780 = V375107 + 1. assign V948649 = V586233 + 1. assign V209077 = V355733 - 1. assign V398791 = V375107 - 1. assign V979888 = V365465 + 1. assign V206153 = V395280 - 1. assign V680303 = V295569. assign V446765 = V308736. assign V466998 = V735973 + 1. assign V945350 = V980114 + 1. assign V178399 = V980114 - 1. assign V608589 = V129133. assign V419394 = V239674 - 1. assign V599075 = V089826 + 1. assign V498435 = V837900 - 1. assign V737794 = V174830 + 1. assign V226559 = V852224 - 1. assign V140769 = V237899 + 1. assign V961242 = V116770 + 1. assign V766614 = V129104 + 1. assign V374338 = V039243. assign V264917 = V980114. assign V243905 = V019931. assign V313662 = V239674 - 1. assign V395280 = V499528 + 1. assign V955933 = V422956 + 1. assign V532128 = V422956 + 1. assign V189381 = V961242 - 1. assign V833274 = V963238. assign V735973 = V351483 + 1. assign V790867 = V872491 - 1. assign V194142 = V948649 + 1. assign V916343 = V768034. assign V683831 = V140769. assign V705961 = V285221 - 1. assign V358715 = V743048 - 1. assign V649875 = V292092 - 1. assign V598092 = V902983 - 1. assign V267785 = V126928 + 1. assign V285221 = V362864 - 1. assign V835890 = V239674 - 1. assign V902983 = V419394 + 1. assign V573809 = V532128. assign V710911 = V654700 - 1. assign V768034 = V089826. assign V198773 = V039243 + 1. assign V056465 = V116770. assign V938963 = V573809. assign V103325 = V365465 - 1. assign V509600 = V257059 + 1. assign V932361 = V329489 + 1. assign V518458 = V498435. assign V566199 = V415772 + 1. assign V870197 = V362864 + 1. assign V355733 = V124428 + 1. assign V630872 = V466998. assign V914261 = V630872 + 1. assign V364431 = V365465 - 1. assign V129104 = V189381 + 1. assign V929480 = V019931 - 1. assign V061217 = V743048 + 1. assign V921200 = V750540. assign V089826 = V499328 - 1. assign V844388 = V743048 - 1. assign V480346 = V555369 - 1. assign V302644 = V422956. assign V218137 = V116770 + 1. assign V257059 = V078537 - 1. assign V481066 = V837900 - 1. assign V287790 = V735973. assign V197048 = V089826 - 1. assign V346989 = V198773 - 1. assign V895362 = V897700. assign V612566 = V897700 - 1. assign V019931 = V963238. assign V465864 = V698300 + 1. assign V397310 = V743048 + 1. assign V113777 = V837900 + 1. assign V963238 = V586233. assign V375107 = V862500 + 1. assign V427859 = V646089 - 1. assign V497201 = V116770 - 1. assign V300452 = V822504 - 1. assign V365947 = V124428 + 1. assign V147064 = V522206. assign V626547 = V822504 - 1. assign V521259 = V818306. assign V116770 = V020674. assign V404697 = V351483 + 1. assign V294059 = V870197. assign V611679 = V980114 + 1. assign V292092 = V129133. assign V837900 = V480346 - 1. assign V236100 = V750540 + 1. assign V475113 = V698300 + 1. assign V415772 = 2. assign V329489 = V308736 - 1. assign V522206 = V295419 - 1. assign V384184 = V586233 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V351483 = V218137 + 1. assign V062611 = V374338 - 1. assign V566526 = V365947 - 1. assign V295569 = V586233 + 1. assign V020674 = V499328. assign V365465 = V218137 + 1. assign V646089 = V735973 - 1. assign V808574 = V480346 - 1. assign V985003 = V147064 - 1. assign V425465 = V257059. assign V586233 = V743048 + 1. assign V327562 = V116770 - 1. assign V478538 = V654700. assign V376708 = V236100. assign V239242 = V680303. assign V745734 = V509600 - 1. assign V174830 = V680303. assign V280883 = V743048. assign V779479 = V961242 + 1. assign V654700 = V295569 - 1. assign V213452 = V397310 - 1. assign V852224 = V480346. assign V326705 = V422956 + 1. assign V738472 = V630872 - 1. assign V671576 = V089826 + 1. assign V743048 = V499328. assign V078537 = V292092 - 1. assign V822504 = V490010. assign V897700 = V397310 - 1. assign V308736 = V480346 + 1. assign V749638 = V302644 - 1. assign V284953 = V813612. assign V872491 = V404697. assign V508770 = V295569 - 1. assign V543873 = V257059 - 1. assign V099297 = V189381 - 1. assign V813612 = V056465 + 1. assign V227495 = V768034 + 1. assign V295419 = V395280 - 1. assign V601201 = V129104. assign V851544 = V056465 - 1. assign V698300 = V478538. assign V422956 = V480346 - 1. assign V121653 = V313662. assign V237899 = V961242. assign V754038 = V295569. assign V750540 = V573809. assign V490010 = V499328 + 1. assign V602665 = V189381 - 1. assign V524515 = V779479. assign V555369 = V020674. assign V393049 = V654700. assign V509537 = V844388 + 1. assign V126928 = V124428 - 1. assign V039243 = V020674 + 1. assign V818306 = V351483 + 1. assign V862500 = V586233. assign V125447 = V174830 - 1. assign V651301 = V404697 + 1. assign V789733 = V766614 - 1. assign V657136 = V062611 + 1. assign V617302 = V961242 - 1. assign V801408 = V897700 + 1. assign V239674 = V555369. assign V648259 = V264917 - 1. assign V422875 = V346989. assign V362864 = V308736 - 1. assign V129133 = V680303. assign V126752 = V932361 + 1. assign V124428 = V374338 - 1. assign V499528 = V061217. assign V980114 = V963238 + 1. assign V581180 = V801408. assign V296780 = V375107 + 1. assign V948649 = V586233 + 1. assign V209077 = V355733 - 1. assign V398791 = V375107 - 1. assign V979888 = V365465 + 1. assign V206153 = V395280 - 1. assign V680303 = V295569. assign V446765 = V308736. assign V466998 = V735973 + 1. assign V945350 = V980114 + 1. assign V178399 = V980114 - 1. assign V608589 = V129133. assign V419394 = V239674 - 1. assign V599075 = V089826 + 1. assign V498435 = V837900 - 1. assign V737794 = V174830 + 1. assign V226559 = V852224 - 1. assign V140769 = V237899 + 1. assign V961242 = V116770 + 1. assign V766614 = V129104 + 1. assign V374338 = V039243. assign V264917 = V980114. assign V243905 = V019931. assign V313662 = V239674 - 1. assign V395280 = V499528 + 1. assign V955933 = V422956 + 1. assign V532128 = V422956 + 1. assign V189381 = V961242 - 1. assign V833274 = V963238. assign V735973 = V351483 + 1. assign V790867 = V872491 - 1. assign V194142 = V948649 + 1. assign V916343 = V768034. assign V683831 = V140769. assign V705961 = V285221 - 1. assign V358715 = V743048 - 1. assign V649875 = V292092 - 1. assign V598092 = V902983 - 1. assign V267785 = V126928 + 1. assign V285221 = V362864 - 1. assign V835890 = V239674 - 1. assign V902983 = V419394 + 1. assign V573809 = V532128. assign V710911 = V654700 - 1. assign V768034 = V089826. assign V198773 = V039243 + 1. assign V056465 = V116770. assign V938963 = V573809. assign V103325 = V365465 - 1. assign V509600 = V257059 + 1. assign V932361 = V329489 + 1. assign V518458 = V498435. assign V566199 = V415772 + 1. assign V870197 = V362864 + 1. assign V355733 = V124428 + 1. assign V630872 = V466998. assign V914261 = V630872 + 1. assign V364431 = V365465 - 1. assign V129104 = V189381 + 1. assign V929480 = V019931 - 1. assign V061217 = V743048 + 1. assign V921200 = V750540. assign V089826 = V499328 - 1. assign V844388 = V743048 - 1. assign V480346 = V555369 - 1. assign V302644 = V422956. assign V218137 = V116770 + 1. assign V257059 = V078537 - 1. assign V481066 = V837900 - 1. assign V287790 = V735973. assign V197048 = V089826 - 1. assign V346989 = V198773 - 1. assign V895362 = V897700. assign V612566 = V897700 - 1. assign V019931 = V963238. assign V465864 = V698300 + 1. assign V397310 = V743048 + 1. assign V113777 = V837900 + 1. assign V963238 = V586233. assign V375107 = V862500 + 1. assign V427859 = V646089 - 1. assign V497201 = V116770 - 1. assign V300452 = V822504 - 1. assign V365947 = V124428 + 1. assign V147064 = V522206. assign V626547 = V822504 - 1. assign V521259 = V818306. assign V116770 = V020674. assign V404697 = V351483 + 1. assign V294059 = V870197. assign V611679 = V980114 + 1. assign V292092 = V129133. assign V837900 = V480346 - 1. assign V236100 = V750540 + 1. assign V475113 = V698300 + 1. assign V415772 = 2. assign V329489 = V308736 - 1. assign V522206 = V295419 - 1. assign V384184 = V586233 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV415772 = 2;\n\nFrom these direct assignment(s), we have: \nV566199 = V415772 + 1 = 2 + 1 =3;\nNo other variables can be derived from V566199;\nNo other variables can be derived from V415772;\n\nNow we have done all the calculations. Derived variables are:\nV415772 = 2;\nV566199 = 3;\n\nNow we have finished this problem. ANSWER:\nV415772\n", "role": "assistant" } ]

[ "V357903" ]

[ { "content": "<context>\nassign V251481 = V952488 + 1. assign V454049 = V972280 + 1. assign V834815 = V088914 - 1. assign V568185 = V625309. assign V485946 = V942696 - 1. assign V314870 = V985216 + 1. assign V345019 = V454049. assign V047088 = V694950. assign V279765 = V683511 + 1. assign V694950 = V483614 + 1. assign V818745 = V394393. assign V110990 = V519998. assign V764233 = V568583 + 1. assign V142676 = V571775 - 1. assign V874954 = V469361 + 1. assign V143912 = V767599. assign V373348 = V776404. assign V088914 = V309742. assign V515937 = V818745. assign V309742 = V952488 + 1. assign V438555 = V033465. assign V502788 = V791300. assign V838766 = V176180 - 1. assign V291377 = V767599 - 1. assign V018810 = V782048. assign V483614 = V348552. assign V882352 = V251704. assign V429418 = V500506 - 1. assign V530008 = V231904 - 1. assign V424105 = V327541. assign V808289 = V878711. assign V382003 = V273028. assign V879415 = V466052 - 1. assign V469361 = V952488. assign V742052 = V952488. assign V838331 = V594067 - 1. assign V412941 = V273904 - 1. assign V089517 = V828002 + 1. assign V281168 = V536337 - 1. assign V776404 = V304329. assign V972280 = V410204. assign V439741 = V127588 - 1. assign V354919 = V191658 - 1. assign V869506 = V127588. assign V537659 = V863036 - 1. assign V463912 = V565934 + 1. assign V695537 = V410204 - 1. assign V378738 = V767599 + 1. assign V734633 = V398658 - 1. assign V743644 = V027218 + 1. assign V150889 = V683511 - 1. assign V611679 = V368106 - 1. assign V818702 = V089521 + 1. assign V000168 = V469361 + 1. assign V535735 = V818702 + 1. assign V411483 = V318369. assign V763293 = V291377 + 1. assign V348552 = V166967 - 1. assign V455252 = V150889 + 1. assign V265048 = V980699. assign V302731 = V838766. assign V521734 = V251704 - 1. assign V594876 = V500506 - 1. assign V767599 = V089521. assign V773279 = V919037. assign V500506 = V127588 + 1. assign V791300 = V142676. assign V660888 = V514308 + 1. assign V571775 = V767599. assign V495911 = V304329 + 1. assign V602648 = V985216. assign V269003 = V735143 + 1. assign V153594 = V348552. assign V524007 = V756074. assign V300721 = V318369 - 1. assign V815678 = V304329 + 1. assign V033465 = V156859. assign V722444 = V318369 - 1. assign V016021 = V251704 - 1. assign V537960 = V258918. assign V828002 = V394393 - 1. assign V632696 = V764233 - 1. assign V166069 = V530859. assign V044976 = V926643 - 1. assign V138861 = V089521 + 1. assign V780349 = V153594 - 1. assign V952984 = V764233. assign V855893 = V734633 - 1. assign V625309 = V191658. assign V191658 = V304329. assign V760922 = V300721. assign V289802 = V191658. assign V787049 = V499401. assign V878711 = V882352 + 1. assign V410204 = V521734. assign V258918 = V818702. assign V942696 = V450856 - 1. assign V273904 = V161185. assign V914089 = V089521. assign V059315 = V818702. assign V637817 = V568185. assign V081440 = V089517 + 1. assign V788424 = V568185 - 1. assign V231904 = V521734 + 1. assign V423519 = V818745. assign V514308 = V767599 - 1. assign V394393 = V304329. assign V357903 = 1. assign V166967 = V304329. assign V981691 = V142676 - 1. assign V568583 = V138861. assign V396146 = V808289 + 1. assign V450856 = V332449 - 1. assign V724847 = V273028. assign V930800 = V348552. assign V156859 = V882352 + 1. assign V905569 = V530008 + 1. assign V530859 = V780349 + 1. assign V477974 = V788424 + 1. assign V706940 = V300721. assign V103007 = V952488 - 1. assign V838833 = V782048 + 1. assign V565934 = V191658. assign V161185 = V273028. assign V368106 = V279765 + 1. assign V348797 = V273904. assign V536337 = V838766. assign V089521 = V952488. assign V176180 = V763293. assign V177459 = V269003 - 1. assign V766661 = V332449 - 1. assign V251704 = V514308 - 1. assign V863036 = V332449. assign V466052 = V398658 - 1. assign V401504 = V952984 + 1. assign V762565 = V530008. assign V735143 = V763293. assign V919037 = V565934. assign V170211 = V231904 + 1. assign V365649 = V273028 - 1. assign V304329 = V952488 - 1. assign V397259 = V394393 + 1. assign V398658 = V818745. assign V318369 = V660888 - 1. assign V499401 = V191658. assign V273028 = V952488 + 1. assign V332449 = V952488. assign V155461 = V177459 + 1. assign V926643 = V143912 + 1. assign V877258 = V318369. assign V638775 = V698528. assign V133280 = V408601 - 1. assign V698528 = V273028 + 1. assign V756074 = V763293 + 1. assign V484347 = V568185 + 1. assign V683511 = V952488. assign V027218 = V764233. assign V408601 = V521734 + 1. assign V070860 = V598684 - 1. assign V782048 = V767599. assign V411144 = V855893. assign V542074 = V302731 + 1. assign V985216 = V382003 + 1. assign V127588 = V304329 - 1. assign V558046 = V536337 - 1. assign V633967 = V357903 + 1. assign V594067 = V450856 + 1. assign V980699 = V724847 + 1. assign V327541 = V764233 + 1. assign V519998 = V289802. assign V720864 = V327541 + 1. assign V598684 = V568185 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V251481 = V952488 + 1. assign V454049 = V972280 + 1. assign V834815 = V088914 - 1. assign V568185 = V625309. assign V485946 = V942696 - 1. assign V314870 = V985216 + 1. assign V345019 = V454049. assign V047088 = V694950. assign V279765 = V683511 + 1. assign V694950 = V483614 + 1. assign V818745 = V394393. assign V110990 = V519998. assign V764233 = V568583 + 1. assign V142676 = V571775 - 1. assign V874954 = V469361 + 1. assign V143912 = V767599. assign V373348 = V776404. assign V088914 = V309742. assign V515937 = V818745. assign V309742 = V952488 + 1. assign V438555 = V033465. assign V502788 = V791300. assign V838766 = V176180 - 1. assign V291377 = V767599 - 1. assign V018810 = V782048. assign V483614 = V348552. assign V882352 = V251704. assign V429418 = V500506 - 1. assign V530008 = V231904 - 1. assign V424105 = V327541. assign V808289 = V878711. assign V382003 = V273028. assign V879415 = V466052 - 1. assign V469361 = V952488. assign V742052 = V952488. assign V838331 = V594067 - 1. assign V412941 = V273904 - 1. assign V089517 = V828002 + 1. assign V281168 = V536337 - 1. assign V776404 = V304329. assign V972280 = V410204. assign V439741 = V127588 - 1. assign V354919 = V191658 - 1. assign V869506 = V127588. assign V537659 = V863036 - 1. assign V463912 = V565934 + 1. assign V695537 = V410204 - 1. assign V378738 = V767599 + 1. assign V734633 = V398658 - 1. assign V743644 = V027218 + 1. assign V150889 = V683511 - 1. assign V611679 = V368106 - 1. assign V818702 = V089521 + 1. assign V000168 = V469361 + 1. assign V535735 = V818702 + 1. assign V411483 = V318369. assign V763293 = V291377 + 1. assign V348552 = V166967 - 1. assign V455252 = V150889 + 1. assign V265048 = V980699. assign V302731 = V838766. assign V521734 = V251704 - 1. assign V594876 = V500506 - 1. assign V767599 = V089521. assign V773279 = V919037. assign V500506 = V127588 + 1. assign V791300 = V142676. assign V660888 = V514308 + 1. assign V571775 = V767599. assign V495911 = V304329 + 1. assign V602648 = V985216. assign V269003 = V735143 + 1. assign V153594 = V348552. assign V524007 = V756074. assign V300721 = V318369 - 1. assign V815678 = V304329 + 1. assign V033465 = V156859. assign V722444 = V318369 - 1. assign V016021 = V251704 - 1. assign V537960 = V258918. assign V828002 = V394393 - 1. assign V632696 = V764233 - 1. assign V166069 = V530859. assign V044976 = V926643 - 1. assign V138861 = V089521 + 1. assign V780349 = V153594 - 1. assign V952984 = V764233. assign V855893 = V734633 - 1. assign V625309 = V191658. assign V191658 = V304329. assign V760922 = V300721. assign V289802 = V191658. assign V787049 = V499401. assign V878711 = V882352 + 1. assign V410204 = V521734. assign V258918 = V818702. assign V942696 = V450856 - 1. assign V273904 = V161185. assign V914089 = V089521. assign V059315 = V818702. assign V637817 = V568185. assign V081440 = V089517 + 1. assign V788424 = V568185 - 1. assign V231904 = V521734 + 1. assign V423519 = V818745. assign V514308 = V767599 - 1. assign V394393 = V304329. assign V357903 = 1. assign V166967 = V304329. assign V981691 = V142676 - 1. assign V568583 = V138861. assign V396146 = V808289 + 1. assign V450856 = V332449 - 1. assign V724847 = V273028. assign V930800 = V348552. assign V156859 = V882352 + 1. assign V905569 = V530008 + 1. assign V530859 = V780349 + 1. assign V477974 = V788424 + 1. assign V706940 = V300721. assign V103007 = V952488 - 1. assign V838833 = V782048 + 1. assign V565934 = V191658. assign V161185 = V273028. assign V368106 = V279765 + 1. assign V348797 = V273904. assign V536337 = V838766. assign V089521 = V952488. assign V176180 = V763293. assign V177459 = V269003 - 1. assign V766661 = V332449 - 1. assign V251704 = V514308 - 1. assign V863036 = V332449. assign V466052 = V398658 - 1. assign V401504 = V952984 + 1. assign V762565 = V530008. assign V735143 = V763293. assign V919037 = V565934. assign V170211 = V231904 + 1. assign V365649 = V273028 - 1. assign V304329 = V952488 - 1. assign V397259 = V394393 + 1. assign V398658 = V818745. assign V318369 = V660888 - 1. assign V499401 = V191658. assign V273028 = V952488 + 1. assign V332449 = V952488. assign V155461 = V177459 + 1. assign V926643 = V143912 + 1. assign V877258 = V318369. assign V638775 = V698528. assign V133280 = V408601 - 1. assign V698528 = V273028 + 1. assign V756074 = V763293 + 1. assign V484347 = V568185 + 1. assign V683511 = V952488. assign V027218 = V764233. assign V408601 = V521734 + 1. assign V070860 = V598684 - 1. assign V782048 = V767599. assign V411144 = V855893. assign V542074 = V302731 + 1. assign V985216 = V382003 + 1. assign V127588 = V304329 - 1. assign V558046 = V536337 - 1. assign V633967 = V357903 + 1. assign V594067 = V450856 + 1. assign V980699 = V724847 + 1. assign V327541 = V764233 + 1. assign V519998 = V289802. assign V720864 = V327541 + 1. assign V598684 = V568185 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV357903 = 1;\n\nFrom these direct assignment(s), we have: \nV633967 = V357903 + 1 = 1 + 1 =2;\nNo other variables can be derived from V633967;\nNo other variables can be derived from V357903;\n\nNow we have done all the calculations. Derived variables are:\nV357903 = 1;\nV633967 = 2;\n\nNow we have finished this problem. ANSWER:\nV357903\n", "role": "assistant" } ]

[ "V377388", "V981304" ]

[ { "content": "<context>\nassign V691183 = V685729 + 1. assign V509129 = V455476 - 1. assign V377388 = 0. assign V868438 = V678391. assign V720036 = V012984 + 1. assign V071576 = V131893 + 1. assign V967806 = V320448 + 1. assign V526446 = V678391 + 1. assign V792255 = V023078 - 1. assign V905360 = V602097 - 1. assign V404225 = V537166. assign V144908 = V488638 + 1. assign V573909 = V602097 - 1. assign V312659 = V699591 + 1. assign V981304 = V377388. assign V236706 = V131893 - 1. assign V118794 = V202687. assign V139839 = V720036 + 1. assign V047015 = V815582 + 1. assign V537166 = V787089. assign V476724 = V578681. assign V699591 = V862314 + 1. assign V160698 = V634942 - 1. assign V859201 = V611259 - 1. assign V041323 = V119164 + 1. assign V455476 = V860532. assign V828719 = V685729 - 1. assign V914972 = V403612. assign V182037 = V080787 - 1. assign V168345 = V139037. assign V578681 = V565791 + 1. assign V067586 = V805449 + 1. assign V603568 = V530006. assign V580143 = V978296 - 1. assign V403612 = V602097. assign V611259 = V455476 + 1. assign V929322 = V792255 + 1. assign V152745 = V455476 + 1. assign V202687 = V537166 - 1. assign V959781 = V129269. assign V860532 = V778969. assign V964731 = V461695. assign V148882 = V907339 + 1. assign V959974 = V229353 - 1. assign V763713 = V062146. assign V951628 = V797746 - 1. assign V291049 = V713199. assign V963565 = V287283 - 1. assign V039466 = V691183. assign V449876 = V981451 + 1. assign V805449 = V611259 + 1. assign V739491 = V229353 - 1. assign V380062 = V792255 + 1. assign V989212 = V452565 - 1. assign V690467 = V173775 + 1. assign V112491 = V753669 + 1. assign V787089 = V804609 + 1. assign V586656 = V320448. assign V815582 = V041323 + 1. assign V668377 = V843944 - 1. assign V017452 = V586656. assign V499346 = V230890 - 1. assign V938525 = V832524. assign V230890 = V602097 + 1. assign V981451 = V691183 + 1. assign V128642 = V017452 - 1. assign V383837 = V853438. assign V930924 = V329983 + 1. assign V131893 = V678391. assign V493650 = V713199 - 1. assign V685729 = V041323 + 1. assign V728388 = V499346 - 1. assign V495508 = V976603 - 1. assign V746601 = V515721. assign V186247 = V430640 + 1. assign V776151 = V023078 + 1. assign V153871 = V739491 + 1. assign V907339 = V041323. assign V046819 = V843944. assign V576397 = V691183. assign V978296 = V119164 - 1. assign V565791 = V312659. assign V778969 = V914972. assign V272513 = V981451. assign V717095 = V046819 - 1. assign V705141 = V797746 - 1. assign V229353 = V792255. assign V129269 = V047015. assign V713199 = V012984. assign V604299 = V465375. assign V682826 = V045468. assign V725079 = V023078 + 1. assign V634347 = V515721 - 1. assign V634942 = V843944 + 1. assign V803620 = V272513 + 1. assign V896565 = V778969 + 1. assign V843944 = V023078. assign V464217 = V461695. assign V091352 = V383837. assign V139037 = V989198. assign V406401 = V978296 + 1. assign V801190 = V989198 - 1. assign V461695 = V602097 - 1. assign V515721 = V320224. assign V750865 = V929322 - 1. assign V609993 = V586656. assign V397070 = V562057 + 1. assign V832524 = V062146 - 1. assign V017556 = V046819 - 1. assign V356233 = V119164. assign V797746 = V880332 - 1. assign V880332 = V860532 - 1. assign V488638 = V752034 - 1. assign V329983 = V404225 + 1. assign V373801 = V959781. assign V525694 = V383837 + 1. assign V678391 = V804609. assign V342523 = V907339 - 1. assign V993158 = V896565 + 1. assign V745967 = V805449. assign V837304 = V580143. assign V601302 = V531675. assign V280470 = V578681 + 1. assign V539128 = V989198 + 1. assign V302529 = V139037 + 1. assign V920863 = V685729 - 1. assign V452565 = V914972 - 1. assign V322612 = V464217. assign V331830 = V679797. assign V862314 = V602097 - 1. assign V936903 = V356233. assign V853438 = V012984. assign V679797 = V537166. assign V753331 = V578681. assign V320224 = V720036. assign V830659 = V403612 + 1. assign V479825 = V778969 + 1. assign V062146 = V320224 - 1. assign V009514 = V479825 - 1. assign V173775 = V119164 + 1. assign V880379 = V576397 - 1. assign V983903 = V634942 - 1. assign V976603 = V356233 + 1. assign V045468 = V047015. assign V562057 = V989198 + 1. assign V989198 = V778969 + 1. assign V987109 = V461695 + 1. assign V597959 = V320224 - 1. assign V499571 = V981451 - 1. assign V814424 = V717095 + 1. assign V697945 = V976603. assign V080787 = V870623 - 1. assign V260253 = V787089 - 1. assign V430640 = V725079. assign V491905 = V046819. assign V870623 = V139839 + 1. assign V698509 = V329983. assign V023078 = V602097. assign V752034 = V989198. assign V012984 = V862314 + 1. assign V465375 = V062146 + 1. assign V525954 = V046819. assign V530006 = V152745 + 1. assign V119164 = V804609 - 1. assign V753669 = V139037 - 1. assign V974269 = V815582. assign V287283 = V403612 + 1. assign V504705 = V112491 + 1. assign V425548 = V320224 - 1. assign V320448 = V403612 - 1. assign V804609 = V023078. assign V531675 = V745967.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V691183 = V685729 + 1. assign V509129 = V455476 - 1. assign V377388 = 0. assign V868438 = V678391. assign V720036 = V012984 + 1. assign V071576 = V131893 + 1. assign V967806 = V320448 + 1. assign V526446 = V678391 + 1. assign V792255 = V023078 - 1. assign V905360 = V602097 - 1. assign V404225 = V537166. assign V144908 = V488638 + 1. assign V573909 = V602097 - 1. assign V312659 = V699591 + 1. assign V981304 = V377388. assign V236706 = V131893 - 1. assign V118794 = V202687. assign V139839 = V720036 + 1. assign V047015 = V815582 + 1. assign V537166 = V787089. assign V476724 = V578681. assign V699591 = V862314 + 1. assign V160698 = V634942 - 1. assign V859201 = V611259 - 1. assign V041323 = V119164 + 1. assign V455476 = V860532. assign V828719 = V685729 - 1. assign V914972 = V403612. assign V182037 = V080787 - 1. assign V168345 = V139037. assign V578681 = V565791 + 1. assign V067586 = V805449 + 1. assign V603568 = V530006. assign V580143 = V978296 - 1. assign V403612 = V602097. assign V611259 = V455476 + 1. assign V929322 = V792255 + 1. assign V152745 = V455476 + 1. assign V202687 = V537166 - 1. assign V959781 = V129269. assign V860532 = V778969. assign V964731 = V461695. assign V148882 = V907339 + 1. assign V959974 = V229353 - 1. assign V763713 = V062146. assign V951628 = V797746 - 1. assign V291049 = V713199. assign V963565 = V287283 - 1. assign V039466 = V691183. assign V449876 = V981451 + 1. assign V805449 = V611259 + 1. assign V739491 = V229353 - 1. assign V380062 = V792255 + 1. assign V989212 = V452565 - 1. assign V690467 = V173775 + 1. assign V112491 = V753669 + 1. assign V787089 = V804609 + 1. assign V586656 = V320448. assign V815582 = V041323 + 1. assign V668377 = V843944 - 1. assign V017452 = V586656. assign V499346 = V230890 - 1. assign V938525 = V832524. assign V230890 = V602097 + 1. assign V981451 = V691183 + 1. assign V128642 = V017452 - 1. assign V383837 = V853438. assign V930924 = V329983 + 1. assign V131893 = V678391. assign V493650 = V713199 - 1. assign V685729 = V041323 + 1. assign V728388 = V499346 - 1. assign V495508 = V976603 - 1. assign V746601 = V515721. assign V186247 = V430640 + 1. assign V776151 = V023078 + 1. assign V153871 = V739491 + 1. assign V907339 = V041323. assign V046819 = V843944. assign V576397 = V691183. assign V978296 = V119164 - 1. assign V565791 = V312659. assign V778969 = V914972. assign V272513 = V981451. assign V717095 = V046819 - 1. assign V705141 = V797746 - 1. assign V229353 = V792255. assign V129269 = V047015. assign V713199 = V012984. assign V604299 = V465375. assign V682826 = V045468. assign V725079 = V023078 + 1. assign V634347 = V515721 - 1. assign V634942 = V843944 + 1. assign V803620 = V272513 + 1. assign V896565 = V778969 + 1. assign V843944 = V023078. assign V464217 = V461695. assign V091352 = V383837. assign V139037 = V989198. assign V406401 = V978296 + 1. assign V801190 = V989198 - 1. assign V461695 = V602097 - 1. assign V515721 = V320224. assign V750865 = V929322 - 1. assign V609993 = V586656. assign V397070 = V562057 + 1. assign V832524 = V062146 - 1. assign V017556 = V046819 - 1. assign V356233 = V119164. assign V797746 = V880332 - 1. assign V880332 = V860532 - 1. assign V488638 = V752034 - 1. assign V329983 = V404225 + 1. assign V373801 = V959781. assign V525694 = V383837 + 1. assign V678391 = V804609. assign V342523 = V907339 - 1. assign V993158 = V896565 + 1. assign V745967 = V805449. assign V837304 = V580143. assign V601302 = V531675. assign V280470 = V578681 + 1. assign V539128 = V989198 + 1. assign V302529 = V139037 + 1. assign V920863 = V685729 - 1. assign V452565 = V914972 - 1. assign V322612 = V464217. assign V331830 = V679797. assign V862314 = V602097 - 1. assign V936903 = V356233. assign V853438 = V012984. assign V679797 = V537166. assign V753331 = V578681. assign V320224 = V720036. assign V830659 = V403612 + 1. assign V479825 = V778969 + 1. assign V062146 = V320224 - 1. assign V009514 = V479825 - 1. assign V173775 = V119164 + 1. assign V880379 = V576397 - 1. assign V983903 = V634942 - 1. assign V976603 = V356233 + 1. assign V045468 = V047015. assign V562057 = V989198 + 1. assign V989198 = V778969 + 1. assign V987109 = V461695 + 1. assign V597959 = V320224 - 1. assign V499571 = V981451 - 1. assign V814424 = V717095 + 1. assign V697945 = V976603. assign V080787 = V870623 - 1. assign V260253 = V787089 - 1. assign V430640 = V725079. assign V491905 = V046819. assign V870623 = V139839 + 1. assign V698509 = V329983. assign V023078 = V602097. assign V752034 = V989198. assign V012984 = V862314 + 1. assign V465375 = V062146 + 1. assign V525954 = V046819. assign V530006 = V152745 + 1. assign V119164 = V804609 - 1. assign V753669 = V139037 - 1. assign V974269 = V815582. assign V287283 = V403612 + 1. assign V504705 = V112491 + 1. assign V425548 = V320224 - 1. assign V320448 = V403612 - 1. assign V804609 = V023078. assign V531675 = V745967.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV377388 = 0;\n\nFrom these direct assignment(s), we have: \nV981304 = V377388 = 0;\nNo other variables can be derived from V981304;\nNo other variables can be derived from V377388;\n\nNow we have done all the calculations. Derived variables are:\nV377388 = 0;\nV981304 = 0;\n\nNow we have finished this problem. ANSWER:\nV377388, V981304\n", "role": "assistant" } ]